Shorthands denote
u_a algebraic unknotting number
Nak Nakanishi index
det determinant
sign signature
max LT maximum absolute value of
Levine-Tristram signatures
Hidden features
Click on to see
algebraic unknotting number how it has been detected
Alexander polynomial a Seifert matrix
(nondegenerate representative in the S-equivalence class)
Nakanishi index generator of the Alexander module,
if Nakanishi index is 1
Determinant H_1 of the double branched cover


Welcome to the
KNOTORIOUS
world wide web page!
set up by Maciej Borodzik mcboro'at'mimuw;edu;pl
and Stefan Friedl sfriedl'at'gmail;com
last update of the webpage 19 Feb 2012
last update of the knotorious data 01 Dec 2011
You may freely contact the authors in case of any questions.

Knot u_a Alexander
polynomial
Nak.
index
det. sign max LT.
3_1
1

detected by
an unknotting move
1-t+t^2
Seifert matrix of 3_1
-1 0
-1 -1
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
1
3
First homology
of the double branched cover of 3_1
Z/3
-2 2
4_1
1

detected by
an unknotting move
-1+3t-t^2
Seifert matrix of 4_1
1 0
-1 -1
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
1
5
First homology
of the double branched cover of 4_1
Z/5
0 0
5_1
2

detected by
the signature
1-t+t^2-t^3+t^4
Seifert matrix of 5_1
-1 -1 0 -1
0 -1 0 0
-1 -1 -1 -1
0 -1 0 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
t^-1-1+t
5
First homology
of the double branched cover of 5_1
Z/5
-4 4
5_2
1

detected by
an unknotting move
2-3t+2t^2
Seifert matrix of 5_2
-1 -1
0 -2
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
1
7
First homology
of the double branched cover of 5_2
Z/7
-2 2
6_1
1

detected by
an unknotting move
-2+5t-2t^2
Seifert matrix of 6_1
1 0
1 -2
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
t^-1-2+t
9
First homology
of the double branched cover of 6_1
Z/9
0 0
6_2
1

detected by
an unknotting move
-1+3t-3t^2+3t^3-t^4
Seifert matrix of 6_2
1 0 0 0
-1 -1 -1 -1
-1 0 -1 0
-1 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-t^-1+3-t
11
First homology
of the double branched cover of 6_2
Z/11
-2 2
6_3
1

detected by
an unknotting move
1-3t+5t^2-3t^3+t^4
Seifert matrix of 6_3
-1 0 0 0
-1 -1 0 0
-1 -1 1 1
0 0 0 1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-1
13
First homology
of the double branched cover of 6_3
Z/13
0 0
7_1
3

detected by
the signature
1-t+t^2-t^3+t^4-t^5+t^6
Seifert matrix of 7_1
-1 -1 -1 0 -1 -1
0 -1 -1 0 0 -1
0 0 -1 0 0 0
-1 -1 -1 -1 -1 -1
0 -1 -1 0 -1 -1
0 0 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
7
First homology
of the double branched cover of 7_1
Z/7
-6 6
7_2
1

detected by
an unknotting move
3-5t+3t^2
Seifert matrix of 7_2
-1 1
0 -3
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
1
11
First homology
of the double branched cover of 7_2
Z/11
-2 2
7_3
2

detected by
the signature
2-3t+3t^2-3t^3+2t^4
Seifert matrix of 7_3
-1 -1 -1 -1
0 -1 0 -1
0 -1 -1 -1
0 0 0 -2
1
Generator of the Alexander module
(2t^3,0,t^3,1)
the Blanchfield form on it
-5t^-2+18t^-1-24+18t-5t^2
13
First homology
of the double branched cover of 7_3
Z/13
-4 4
7_4
2

detected by
the Lickorish test
4-7t+4t^2
Seifert matrix of 7_4
-2 0
-1 -2
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
-2t^-1+4-2t
15
First homology
of the double branched cover of 7_4
Z/15
-2 2
7_5
2

detected by
the signature
2-4t+5t^2-4t^3+2t^4
Seifert matrix of 7_5
-1 0 -1 0
0 -1 -1 0
0 0 -2 0
0 -1 -1 -1
1
Generator of the Alexander module
(-t,0,1,1)
the Blanchfield form on it
2t^-1-2+2t
17
First homology
of the double branched cover of 7_5
Z/17
-4 4
7_6
1

detected by
an unknotting move
-1+5t-7t^2+5t^3-t^4
Seifert matrix of 7_6
-1 0 0 0
-1 -1 0 0
-1 -1 1 -1
0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-2t^-1+3-2t
19
First homology
of the double branched cover of 7_6
Z/19
-2 2
7_7
1

detected by
an unknotting move
1-5t+9t^2-5t^3+t^4
Seifert matrix of 7_7
1 0 0 0
-1 -1 0 -1
0 0 1 0
-1 0 -1 -1
1
Generator of the Alexander module
(0,0,-1,1)
the Blanchfield form on it
t^-1-3+t
21
First homology
of the double branched cover of 7_7
Z/21
0 0
8_1
1

detected by
an unknotting move
-3+7t-3t^2
Seifert matrix of 8_1
1 0
-1 -3
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
t^-1-2+t
13
First homology
of the double branched cover of 8_1
Z/13
0 0
8_2
2

detected by
the signature
-1+3t-3t^2+3t^3-3t^4+3t^5-t^6
Seifert matrix of 8_2
1 0 0 0 0 0
-1 -1 -1 -1 -1 -1
-1 0 -1 -1 0 -1
-1 0 0 -1 0 0
-1 0 -1 -1 -1 -1
-1 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
17
First homology
of the double branched cover of 8_2
Z/17
-4 4
8_3
1

detected by
an unknotting move
-4+9t-4t^2
Seifert matrix of 8_3
2 0
-1 -2
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
2t^-1-4+2t
17
First homology
of the double branched cover of 8_3
Z/17
0 0
8_4
1

detected by
an unknotting move
-2+5t-5t^2+5t^3-2t^4
Seifert matrix of 8_4
1 0 0 0
1 1 1 0
1 0 1 0
1 1 1 -2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
t^-2-2t^-1+2-2t+t^2
19
First homology
of the double branched cover of 8_4
Z/19
2 2
8_5
2

detected by
the signature
-1+3t-4t^2+5t^3-4t^4+3t^5-t^6
Seifert matrix of 8_5
-1 0 0 -1 -1 -1
0 1 0 0 0 0
-1 0 -1 -1 -1 -1
0 -1 0 -1 -1 -1
0 -1 0 0 -1 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
21
First homology
of the double branched cover of 8_5
Z/21
-4 4
8_6
1

detected by
an unknotting move
-2+6t-7t^2+6t^3-2t^4
Seifert matrix of 8_6
1 0 0 0
0 -1 0 -1
1 -1 -2 -1
0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
t^-2-3t^-1+4-3t+t^2
23
First homology
of the double branched cover of 8_6
Z/23
-2 2
8_7
1

detected by
an unknotting move
1-3t+5t^2-5t^3+5t^4-3t^5+t^6
Seifert matrix of 8_7
-1 0 0 0 0 0
0 1 0 0 1 0
-1 0 -1 0 0 0
-1 1 -1 1 1 1
0 0 0 0 1 0
0 1 0 0 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-1
23
First homology
of the double branched cover of 8_7
Z/23
2 2
8_8
2

detected by
the Lickorish test
2-6t+9t^2-6t^3+2t^4
Seifert matrix of 8_8
-1 0 0 0
-1 -1 0 0
0 0 1 0
1 1 -1 2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
t^-2-3t^-1+4-3t+t^2
25
First homology
of the double branched cover of 8_8
Z/25
0 0
8_9
1

detected by
an unknotting move
-1+3t-5t^2+7t^3-5t^4+3t^5-t^6
Seifert matrix of 8_9
1 0 0 0 0 0
1 1 0 0 1 0
-1 -1 -1 -1 -1 -1
-1 -1 0 -1 -1 0
1 0 0 0 1 0
-1 -1 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,-1)
the Blanchfield form on it
-t^-1+2-t
25
First homology
of the double branched cover of 8_9
Z/25
0 0
8_10
1

detected by
an unknotting move
1-3t+6t^2-7t^3+6t^4-3t^5+t^6
Seifert matrix of 8_10
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 1 0
-1 -1 1 1 1 1
0 0 0 0 1 0
-1 -1 1 0 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
27
First homology
of the double branched cover of 8_10
Z/27
2 2
8_11
1

detected by
an unknotting move
-2+7t-9t^2+7t^3-2t^4
Seifert matrix of 8_11
1 0 0 0
-1 -1 1 -1
1 0 -2 1
-1 0 0 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
27
First homology
of the double branched cover of 8_11
Z/27
-2 2
8_12
1

detected by
an unknotting move
1-7t+13t^2-7t^3+t^4
Seifert matrix of 8_12
-1 -1 0 0
0 1 0 0
-1 0 1 -1
0 0 0 -1
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
-t^-1+3-t
29
First homology
of the double branched cover of 8_12
Z/29
0 0
8_13
1

detected by
an unknotting move
2-7t+11t^2-7t^3+2t^4
Seifert matrix of 8_13
-1 0 0 0
0 2 0 0
-1 0 -1 0
-1 -1 -1 1
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
1
29
First homology
of the double branched cover of 8_13
Z/29
0 0
8_14
1

detected by
an unknotting move
-2+8t-11t^2+8t^3-2t^4
Seifert matrix of 8_14
1 0 0 0
-1 -1 0 1
0 0 -1 -1
1 0 0 -2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
1
31
First homology
of the double branched cover of 8_14
Z/31
-2 2
8_15
2

detected by
the signature
3-8t+11t^2-8t^3+3t^4
Seifert matrix of 8_15
-1 -1 -1 -1
0 -2 -1 -2
0 -1 -2 -1
0 -1 -1 -2
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
2t^-1-3+2t
33
First homology
of the double branched cover of 8_15
Z/33
-4 4
8_16
2

detected by
the Lickorish test
1-4t+8t^2-9t^3+8t^4-4t^5+t^6
Seifert matrix of 8_16
1 0 0 0 -1 0
0 -1 0 0 0 0
1 0 1 0 -1 0
1 -1 1 1 -1 1
0 -1 0 0 -1 0
1 -1 1 0 -1 1
1
Generator of the Alexander module
(0,1,-t,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
35
First homology
of the double branched cover of 8_16
Z/35
2 2
8_17
1

detected by
an unknotting move
-1+4t-8t^2+11t^3-8t^4+4t^5-t^6
Seifert matrix of 8_17
1 0 0 0 0 0
1 1 0 1 0 0
-1 -1 -1 -1 -1 -1
1 0 0 1 0 0
0 -1 0 0 -1 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
1
37
First homology
of the double branched cover of 8_17
Z/37
0 0
8_18
2

detected by
the Nakanishi index
-1+5t-10t^2+13t^3-10t^4+5t^5-t^6
Seifert matrix of 8_18
1 0 0 0 -1 0
0 -1 0 0 0 0
0 -1 -1 0 0 0
1 -1 -1 1 -1 1
0 -1 -1 0 -1 0
1 0 -1 0 -1 1
2
45
First homology
of the double branched cover of 8_18
Z/15+Z/3
0 0
8_19
3

detected by
the signature
1-t+t^3-t^5+t^6
Seifert matrix of 8_19
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 -1 0 -1
-1 -1 0 -1 0 0
0 0 -1 -1 -1 -1
-1 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
3
First homology
of the double branched cover of 8_19
Z/3
-6 6
8_20
1

detected by
an unknotting move
1-2t+3t^2-2t^3+t^4
Seifert matrix of 8_20
-1 -1 -1 -1
0 0 -1 -1
0 -1 0 -1
0 0 -1 0
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
2t^-1-3+2t
9
First homology
of the double branched cover of 8_20
Z/9
0 0
8_21
1

detected by
an unknotting move
-1+4t-5t^2+4t^3-t^4
Seifert matrix of 8_21
-1 -1 -1 -1
0 -2 -1 -2
0 -1 0 -1
0 -1 -1 -2
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
1
15
First homology
of the double branched cover of 8_21
Z/15
-2 2
9_1
4

detected by
the signature
1-t+t^2-t^3+t^4-t^5+t^6-t^7+t^8
Seifert matrix of 9_1
-1 -1 -1 -1 0 -1 -1 -1
0 -1 -1 -1 0 0 -1 -1
0 0 -1 -1 0 0 0 -1
0 0 0 -1 0 0 0 0
-1 -1 -1 -1 -1 -1 -1 -1
0 -1 -1 -1 0 -1 -1 -1
0 0 -1 -1 0 0 -1 -1
0 0 0 -1 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
t^-3-t^-2+t^-1-1+t-t^2+t^3
9
First homology
of the double branched cover of 9_1
Z/9
-8 8
9_2
1

detected by
an unknotting move
4-7t+4t^2
Seifert matrix of 9_2
-1 -1
0 -4
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
1
15
First homology
of the double branched cover of 9_2
Z/15
-2 2
9_3
3

detected by
the signature
2-3t+3t^2-3t^3+3t^4-3t^5+2t^6
Seifert matrix of 9_3
-1 -1 -1 -1 -1 -1
0 -1 -1 0 -1 -1
0 0 -1 0 0 -1
0 -1 -1 -1 -1 -1
0 0 -1 0 -1 -1
0 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
2t^-2-3t^-1+3-3t+2t^2
19
First homology
of the double branched cover of 9_3
Z/19
-6 6
9_4
2

detected by
the signature
3-5t+5t^2-5t^3+3t^4
Seifert matrix of 9_4
-1 -1 1 -1
0 -1 1 0
0 0 -3 0
0 -1 1 -1
1
Generator of the Alexander module
(t+t^3-t^4,0,1+t-t^3,0)
the Blanchfield form on it
3t^-1-5+3t
21
First homology
of the double branched cover of 9_4
Z/21
-4 4
9_5
1

detected by
an unknotting move
6-11t+6t^2
Seifert matrix of 9_5
-3 1
0 -2
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
-2t^-1+4-2t
23
First homology
of the double branched cover of 9_5
Z/23
-2 2
9_6
3

detected by
the signature
2-4t+5t^2-5t^3+5t^4-4t^5+2t^6
Seifert matrix of 9_6
-1 0 0 -1 0 0
0 -1 -1 -1 0 -1
0 0 -1 -1 0 0
0 0 0 -2 0 0
0 -1 -1 -1 -1 -1
0 0 -1 -1 0 -1
1
Generator of the Alexander module
(t+t^2-t^3,0,-t^2,-1-t,-1+t^3,-t)
the Blanchfield form on it
2t^-2-2t^-1+3-2t+2t^2
27
First homology
of the double branched cover of 9_6
Z/27
-6 6
9_7
2

detected by
the signature
3-7t+9t^2-7t^3+3t^4
Seifert matrix of 9_7
-1 0 1 0
0 -1 1 0
0 0 -3 0
0 -1 1 -1
1
Generator of the Alexander module
(-1,0,0,1)
the Blanchfield form on it
3t^-1-4+3t
29
First homology
of the double branched cover of 9_7
Z/29
-4 4
9_8
1

detected by
an unknotting move
-2+8t-11t^2+8t^3-2t^4
Seifert matrix of 9_8
-1 0 0 0
-1 -1 0 0
0 0 -1 0
1 1 1 2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-t^-2+3t^-1-4+3t-t^2
31
First homology
of the double branched cover of 9_8
Z/31
-2 2
9_9
3

detected by
the signature
2-4t+6t^2-7t^3+6t^4-4t^5+2t^6
Seifert matrix of 9_9
-1 -1 0 -1 -1 0
0 -1 0 0 -1 0
0 0 -1 0 -1 0
0 -1 0 -1 -1 0
0 0 0 0 -2 0
0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
2t^-2-3t^-1+3-3t+2t^2
31
First homology
of the double branched cover of 9_9
Z/31
-6 6
9_10
2

detected by
the signature
4-8t+9t^2-8t^3+4t^4
Seifert matrix of 9_10
-1 1 -1 -1
0 -2 1 1
0 0 -1 -1
0 0 0 -2
1 or 2
33
First homology
of the double branched cover of 9_10
Z/33
-4 4
9_11
2

detected by
the signature
-1+5t-7t^2+7t^3-7t^4+5t^5-t^6
Seifert matrix of 9_11
1 0 0 0 1 0
0 -1 -1 0 0 0
0 0 1 0 0 0
1 -1 0 1 1 1
0 0 0 0 1 0
1 0 0 0 1 1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
2t^-2-3t^-1+3-3t+2t^2
33
First homology
of the double branched cover of 9_11
Z/33
4 4
9_12
1

detected by
an unknotting move
-2+9t-13t^2+9t^3-2t^4
Seifert matrix of 9_12
-1 0 0 0
0 -2 0 0
-1 0 -1 0
-1 1 -1 1
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
1
35
First homology
of the double branched cover of 9_12
Z/35
-2 2
9_13
2

detected by
the signature
4-9t+11t^2-9t^3+4t^4
Seifert matrix of 9_13
-1 0 -1 0
0 -2 0 0
0 -1 -2 0
-1 0 -1 -1
1
Generator of the Alexander module
(0,0,1,1-t)
the Blanchfield form on it
4t^-1-7+4t
37
First homology
of the double branched cover of 9_13
Z/37
-4 4
9_14
1

detected by
an unknotting move
2-9t+15t^2-9t^3+2t^4
Seifert matrix of 9_14
1 0 0 0
-1 -1 -1 0
-1 0 -1 1
0 0 0 2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
2t^-1-3+2t
37
First homology
of the double branched cover of 9_14
Z/37
0 0
9_15
2

detected by
the Lickorish test
-2+10t-15t^2+10t^3-2t^4
Seifert matrix of 9_15
-1 -1 0 0
0 1 0 0
0 0 1 0
1 0 -1 2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-t^-2+5t^-1-8+5t-t^2
39
First homology
of the double branched cover of 9_15
Z/39
2 2
9_16
3

detected by
the signature
2-5t+8t^2-9t^3+8t^4-5t^5+2t^6
Seifert matrix of 9_16
-1 0 -1 -1 -1 0
0 -1 -1 -1 -1 0
0 0 -2 -1 -2 0
0 0 -2 -2 -2 0
0 0 -1 -1 -2 0
0 -1 -1 -1 -1 -1
1
Generator of the Alexander module
(-1,0,0,0,0,1)
the Blanchfield form on it
2t^-2-3t^-1+4-3t+2t^2
39
First homology
of the double branched cover of 9_16
Z/39
-6 6
9_17
2

detected by
the Lickorish test
1-5t+9t^2-9t^3+9t^4-5t^5+t^6
Seifert matrix of 9_17
1 0 0 0 0 0
-1 -1 -1 0 -1 -1
-1 0 -1 0 0 -1
0 0 0 1 0 0
-1 0 -1 0 -1 -1
-1 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,-1)
the Blanchfield form on it
t^-2-3t^-1+3-3t+t^2
39
First homology
of the double branched cover of 9_17
Z/39
-2 2
9_18
2

detected by
the signature
4-10t+13t^2-10t^3+4t^4
Seifert matrix of 9_18
-1 0 0 -1
0 -2 1 1
0 0 -1 -1
0 0 0 -2
1 or 2
41
First homology
of the double branched cover of 9_18
Z/41
-4 4
9_19
1

detected by
an unknotting move
2-10t+17t^2-10t^3+2t^4
Seifert matrix of 9_19
1 0 0 0
-1 -1 0 1
0 0 1 0
1 0 1 -2
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
t^-1-3+t
41
First homology
of the double branched cover of 9_19
Z/41
0 0
9_20
2

detected by
the signature
-1+5t-9t^2+11t^3-9t^4+5t^5-t^6
Seifert matrix of 9_20
-1 0 0 0 0 0
0 -1 0 0 -1 0
-1 0 -1 0 0 0
-1 0 -1 1 -1 0
0 0 0 0 -1 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-2t^-2+4t^-1-5+4t-2t^2
41
First homology
of the double branched cover of 9_20
Z/41
-4 4
9_21
1

detected by
an unknotting move
-2+11t-17t^2+11t^3-2t^4
Seifert matrix of 9_21
2 0 0 0
0 -1 -1 0
0 0 1 0
-1 -1 0 1
1 or 2
43
First homology
of the double branched cover of 9_21
Z/43
2 2
9_22
1

detected by
an unknotting move
1-5t+10t^2-11t^3+10t^4-5t^5+t^6
Seifert matrix of 9_22
1 0 0 0 0 0
-1 -1 0 -1 -1 -1
0 0 1 0 0 0
-1 0 -1 -1 -1 -1
-1 0 -1 0 -1 0
-1 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-2-5t^-1+9-5t+t^2
43
First homology
of the double branched cover of 9_22
Z/43
-2 2
9_23
2

detected by
the signature
4-11t+15t^2-11t^3+4t^4
Seifert matrix of 9_23
-1 0 -1 0
0 -1 0 -1
0 0 -2 0
0 0 1 -2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
2t^-1-3+2t
45
First homology
of the double branched cover of 9_23
Z/45
-4 4
9_24
1

detected by
an unknotting move
-1+5t-10t^2+13t^3-10t^4+5t^5-t^6
Seifert matrix of 9_24
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 -1 0
-1 -1 1 1 -1 1
0 0 0 0 -1 0
-1 -1 1 0 -1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
t^-2-5t^-1+7-5t+t^2
45
First homology
of the double branched cover of 9_24
Z/45
0 0
9_25
1

detected by
an unknotting move
-3+12t-17t^2+12t^3-3t^4
Seifert matrix of 9_25
-1 -1 0 -1
0 -2 0 -1
0 0 1 -1
0 -1 0 -2
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
-2t^-1+5-2t
47
First homology
of the double branched cover of 9_25
Z/47
-2 2
9_26
1

detected by
an unknotting move
1-5t+11t^2-13t^3+11t^4-5t^5+t^6
Seifert matrix of 9_26
1 0 0 0 0 0
-1 -1 0 0 -1 0
0 0 1 0 0 0
0 0 1 1 0 1
-1 0 -1 -1 -1 -1
0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,-1,1,0)
the Blanchfield form on it
-1
47
First homology
of the double branched cover of 9_26
Z/47
2 2
9_27
1

detected by
an unknotting move
-1+5t-11t^2+15t^3-11t^4+5t^5-t^6
Seifert matrix of 9_27
-1 0 0 0 0 0
0 -1 0 0 -1 0
-1 0 -1 0 0 0
-1 0 -1 1 1 1
0 0 0 0 1 0
0 0 0 0 1 1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
49
First homology
of the double branched cover of 9_27
Z/49
0 0
9_28
1

detected by
an unknotting move
1-5t+12t^2-15t^3+12t^4-5t^5+t^6
Seifert matrix of 9_28
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 1 1 0
0 0 0 1 0 0
0 0 0 0 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
51
First homology
of the double branched cover of 9_28
Z/51
-2 2
9_29
1

detected by
an unknotting move
1-5t+12t^2-15t^3+12t^4-5t^5+t^6
Seifert matrix of 9_29
1 0 0 1 1 1
-1 -1 0 0 -1 0
0 0 -1 0 0 0
0 0 -1 1 0 0
0 0 -1 1 1 1
0 0 -1 1 0 1
1
Generator of the Alexander module
(0,-1,-1,0,-t,0)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
51
First homology
of the double branched cover of 9_29
Z/51
2 2
9_30
1

detected by
an unknotting move
-1+5t-12t^2+17t^3-12t^4+5t^5-t^6
Seifert matrix of 9_30
-1 -1 -1 -1 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
0 -1 0 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
2t^-1-5+2t
53
First homology
of the double branched cover of 9_30
Z/53
0 0
9_31
2

detected by
the Lickorish test
1-5t+13t^2-17t^3+13t^4-5t^5+t^6
Seifert matrix of 9_31
-1 0 0 0 0 0
0 -1 0 0 -1 0
-1 0 -1 0 0 0
-1 0 -1 1 0 1
0 0 0 0 -1 0
0 1 0 0 1 1
1
Generator of the Alexander module
(0,0,t,1+t,0,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
55
First homology
of the double branched cover of 9_31
Z/55
-2 2
9_32
1

detected by
an unknotting move
1-6t+14t^2-17t^3+14t^4-6t^5+t^6
Seifert matrix of 9_32
1 0 0 0 0 0
-1 -1 -1 0 -1 -1
0 0 1 1 0 1
0 0 0 1 0 0
-1 0 -1 0 -1 0
0 0 0 1 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-1-1+t
59
First homology
of the double branched cover of 9_32
Z/59
2 2
9_33
1

detected by
an unknotting move
-1+6t-14t^2+19t^3-14t^4+6t^5-t^6
Seifert matrix of 9_33
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 -1 -1 0 0 0
-1 0 -1 1 -1 1
-1 -1 -1 0 -1 0
0 0 -1 0 -1 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-1+1-t
61
First homology
of the double branched cover of 9_33
Z/61
0 0
9_34
1

detected by
an unknotting move
-1+6t-16t^2+23t^3-16t^4+6t^5-t^6
Seifert matrix of 9_34
-1 0 -1 -1 0 0
-1 -1 -1 -1 0 0
0 0 -1 -1 -1 0
0 0 0 1 0 0
0 0 0 1 1 0
-1 0 -1 0 0 1
1
Generator of the Alexander module
(0,1,1,0,-1,1)
the Blanchfield form on it
-t^-2+4t^-1-7+4t-t^2
69
First homology
of the double branched cover of 9_34
Z/69
0 0
9_35
2

detected by
the Nakanishi index
7-13t+7t^2
Seifert matrix of 9_35
-3 -1
-2 -3
2
27
First homology
of the double branched cover of 9_35
Z/3+Z/9
-2 2
9_36
2

detected by
the signature
-1+5t-8t^2+9t^3-8t^4+5t^5-t^6
Seifert matrix of 9_36
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 0 1 0 1 0
-1 0 1 1 1 1
0 0 0 0 1 0
-1 0 1 0 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
t^-2-5t^-1+7-5t+t^2
37
First homology
of the double branched cover of 9_36
Z/37
4 4
9_37
2

detected by
the Nakanishi index
2-11t+19t^2-11t^3+2t^4
Seifert matrix of 9_37
1 0 0 0
0 1 0 0
1 0 -2 1
-1 -1 0 -1
2
45
First homology
of the double branched cover of 9_37
Z/15+Z/3
0 0
9_38
2

detected by
the signature
5-14t+19t^2-14t^3+5t^4
Seifert matrix of 9_38
-2 1 0 1
0 -2 -1 -2
-1 -1 -2 -1
0 -1 -1 -2
1 or 2
57
First homology
of the double branched cover of 9_38
Z/57
-4 4
9_39
1

detected by
an unknotting move
-3+14t-21t^2+14t^3-3t^4
Seifert matrix of 9_39
-1 0 -1 1
0 2 1 1
0 0 1 0
0 1 0 2
1
Generator of the Alexander module
(1,0,0,1)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
55
First homology
of the double branched cover of 9_39
Z/55
2 2
9_40
2

detected by
the Nakanishi index
1-7t+18t^2-23t^3+18t^4-7t^5+t^6
Seifert matrix of 9_40
1 0 0 0 -1 1
-1 -1 0 -1 0 -1
0 0 -1 0 -1 0
-1 0 0 -1 0 0
0 0 0 0 -1 0
0 0 -1 0 -1 1
2
75
First homology
of the double branched cover of 9_40
Z/15+Z/5
-2 2
9_41
2

detected by
the Nakanishi index
3-12t+19t^2-12t^3+3t^4
Seifert matrix of 9_41
-1 1 -1 1
0 2 0 1
0 0 -1 1
0 1 0 2
2
49
First homology
of the double branched cover of 9_41
Z/7+Z/7
0 0
9_42
1

detected by
an unknotting move
-1+2t-t^2+2t^3-t^4
Seifert matrix of 9_42
1 0 0 0
-1 0 1 -1
1 1 -2 1
-1 0 1 0
1
Generator of the Alexander module
(0,t,1,0)
the Blanchfield form on it
t^-1-2+t
7
First homology
of the double branched cover of 9_42
Z/7
2 2
9_43
2

detected by
the signature
-1+3t-2t^2+t^3-2t^4+3t^5-t^6
Seifert matrix of 9_43
-1 -1 -1 -1 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
0 -1 0 -1 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
13
First homology
of the double branched cover of 9_43
Z/13
-4 4
9_44
1

detected by
an unknotting move
1-4t+7t^2-4t^3+t^4
Seifert matrix of 9_44
-1 -1 0 -1
0 0 0 -1
0 0 1 0
0 -1 1 -2
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
1
17
First homology
of the double branched cover of 9_44
Z/17
0 0
9_45
1

detected by
an unknotting move
-1+6t-9t^2+6t^3-t^4
Seifert matrix of 9_45
0 2 -1 -1
1 1 1 0
0 0 1 0
0 1 -1 0
1
Generator of the Alexander module
(-1+t,0,-1,0)
the Blanchfield form on it
-1
23
First homology
of the double branched cover of 9_45
Z/23
2 2
9_46
2

detected by
the Nakanishi index
-2+5t-2t^2
Seifert matrix of 9_46
3 2
1 0
2
9
First homology
of the double branched cover of 9_46
Z/3+Z/3
0 0
9_47
2

detected by
the Nakanishi index
1-4t+6t^2-5t^3+6t^4-4t^5+t^6
Seifert matrix of 9_47
-1 0 -1 -1 0 0
-1 -1 -1 -1 0 0
0 0 -1 -1 -1 0
0 0 0 1 0 0
0 0 0 1 1 0
-1 0 -1 0 0 -1
2
27
First homology
of the double branched cover of 9_47
Z/9+Z/3
-2 2
9_48
2

detected by
the Nakanishi index
-1+7t-11t^2+7t^3-t^4
Seifert matrix of 9_48
1 0 0 0
0 1 0 0
1 0 1 1
-1 -1 0 -1
2
27
First homology
of the double branched cover of 9_48
Z/9+Z/3
2 2
9_49
3

detected by
the Stoimenow criterion
3-6t+7t^2-6t^3+3t^4
Seifert matrix of 9_49
-1 1 -1 1
0 -2 0 -1
0 0 -1 1
0 -1 0 -2
2
25
First homology
of the double branched cover of 9_49
Z/5+Z/5
-4 4
10_1
1

detected by
an unknotting move
-4+9t-4t^2
Seifert matrix of 10_1
1 0
1 -4
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
t^-1-2+t
17
First homology
of the double branched cover of 10_1
Z/17
0 0
10_2
3

detected by
the signature
-1+3t-3t^2+3t^3-3t^4+3t^5-3t^6+3t^7-t^8
Seifert matrix of 10_2
1 0 0 0 0 0 0 0
-1 -1 -1 -1 -1 -1 -1 -1
-1 0 -1 -1 -1 0 -1 -1
-1 0 0 -1 -1 0 0 -1
-1 0 0 0 -1 0 0 0
-1 0 -1 -1 -1 -1 -1 -1
-1 0 0 -1 -1 0 -1 -1
-1 0 0 0 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+3t^-2-3t^-1+3-3t+3t^2-t^3
23
First homology
of the double branched cover of 10_2
Z/23
-6 6
10_3
2

detected by
the Lickorish test
-6+13t-6t^2
Seifert matrix of 10_3
-3 1
0 2
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
2t^-1-4+2t
25
First homology
of the double branched cover of 10_3
Z/25
0 0
10_4
1

detected by
an unknotting move
-3+7t-7t^2+7t^3-3t^4
Seifert matrix of 10_4
1 0 0 0
1 1 0 1
-1 -1 -3 -1
1 0 0 1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
t^-2-2t^-1+2-2t+t^2
27
First homology
of the double branched cover of 10_4
Z/27
2 2
10_5
2

detected by
the signature
1-3t+5t^2-5t^3+5t^4-5t^5+5t^6-3t^7+t^8
Seifert matrix of 10_5
-1 0 0 0 0 0 0 0
0 1 0 0 0 1 0 0
0 1 1 0 0 1 1 0
-1 0 0 -1 0 0 0 0
-1 1 1 -1 1 1 1 1
0 0 0 0 0 1 0 0
0 1 0 0 0 1 1 0
0 1 1 0 0 1 1 1
1
Generator of the Alexander module
(0,0,0,2,2,0,0,-1)
the Blanchfield form on it
t^-3-t^-2+t^-1-1+t-t^2+t^3
33
First homology
of the double branched cover of 10_5
Z/33
4 4
10_6
2

detected by
the signature
-2+6t-7t^2+7t^3-7t^4+6t^5-2t^6
Seifert matrix of 10_6
1 0 0 0 0 0
0 -1 -1 0 -1 -1
0 0 -1 0 0 -1
1 -1 -1 -2 -1 -1
0 0 -1 0 -1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(-2,0,0,1,0,0)
the Blanchfield form on it
-5t^-3+11t^-2-12t^-1+12-12t+11t^2-5t^3
37
First homology
of the double branched cover of 10_6
Z/37
-4 4
10_7
1

detected by
an unknotting move
-3+11t-15t^2+11t^3-3t^4
Seifert matrix of 10_7
1 0 0 0
-1 -1 -1 -1
-1 0 -1 0
-1 0 -1 -3
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
43
First homology
of the double branched cover of 10_7
Z/43
-2 2
10_8
2

detected by
the signature
-2+5t-5t^2+5t^3-5t^4+5t^5-2t^6
Seifert matrix of 10_8
-1 -1 -1 1 -1 -1
0 -1 -1 1 0 -1
0 0 -1 1 0 0
0 0 0 2 0 0
0 -1 -1 1 -1 -1
0 0 -1 1 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-3+2t^-2-2t^-1+2-2t+2t^2-t^3
29
First homology
of the double branched cover of 10_8
Z/29
-4 4
10_9
1

detected by
an unknotting move
-1+3t-5t^2+7t^3-7t^4+7t^5-5t^6+3t^7-t^8
Seifert matrix of 10_9
1 0 0 0 0 0 0 0
1 1 0 0 0 1 0 0
-1 -1 -1 -1 -1 -1 -1 -1
-1 -1 0 -1 -1 -1 0 -1
-1 -1 0 0 -1 -1 0 0
1 0 0 0 0 1 0 0
-1 -1 0 -1 -1 -1 -1 -1
-1 -1 0 0 -1 -1 0 -1
1
Generator of the Alexander module
(0,0,2,1,1,t,1,1)
the Blanchfield form on it
1
39
First homology
of the double branched cover of 10_9
Z/39
-2 2
10_10
1

detected by
an unknotting move
3-11t+17t^2-11t^3+3t^4
Seifert matrix of 10_10
-1 0 0 0
-1 -1 0 0
-1 -1 1 1
0 0 0 3
1
Generator of the Alexander module
(0,1,1,0)
the Blanchfield form on it
1
45
First homology
of the double branched cover of 10_10
Z/45
0 0
10_11
1

detected by
an unknotting move
-4+11t-13t^2+11t^3-4t^4
Seifert matrix of 10_11
-1 0 0 -1
0 2 0 0
-1 -1 -2 -1
0 0 0 -1
1 or 2
43
First homology
of the double branched cover of 10_11
Z/43
-2 2
10_12
1

detected by
an unknotting move
2-6t+10t^2-11t^3+10t^4-6t^5+2t^6
Seifert matrix of 10_12
-1 0 0 0 0 0
0 1 0 1 0 0
-1 0 -1 0 0 0
0 0 0 1 0 0
0 1 0 1 1 0
1 -1 1 -1 -1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-3t^-2+5t^-1-6+5t-3t^2+t^3
47
First homology
of the double branched cover of 10_12
Z/47
2 2
10_13
1

detected by
an unknotting move
2-13t+23t^2-13t^3+2t^4
Seifert matrix of 10_13
-2 0 0 0
0 -1 -1 0
0 0 1 0
1 -1 0 1
1
Generator of the Alexander module
(0,-2-27t+99t^2-144t^3+84t^4-16t^5,0,3+35t-167t^2+304t^3-266t^4+108t^5-16t^6)
the Blanchfield form on it
357953t^-2-2326696t^-1+4116466-2326696t+357953t^2
53
First homology
of the double branched cover of 10_13
Z/53
0 0
10_14
2

detected by
the signature
-2+8t-12t^2+13t^3-12t^4+8t^5-2t^6
Seifert matrix of 10_14
1 0 0 0 0 0
-1 -1 0 0 0 1
0 0 -1 -1 -1 -1
0 0 0 -1 0 -1
0 0 0 -1 -1 -1
1 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-2t^-2+8t^-1-11+8t-2t^2
57
First homology
of the double branched cover of 10_14
Z/57
-4 4
10_15
1

detected by
an unknotting move
2-6t+9t^2-9t^3+9t^4-6t^5+2t^6
Seifert matrix of 10_15
-1 0 -1 0 0 0
0 1 0 0 1 0
0 0 -2 0 0 0
0 1 1 1 1 1
0 0 0 0 1 0
0 1 0 0 1 1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
43
First homology
of the double branched cover of 10_15
Z/43
2 2
10_16
1

detected by
an unknotting move
-4+12t-15t^2+12t^3-4t^4
Seifert matrix of 10_16
-1 1 -1 1
0 -2 1 -1
0 0 -1 1
0 0 0 2
1 or 2
47
First homology
of the double branched cover of 10_16
Z/47
-2 2
10_17
1

detected by
an unknotting move
1-3t+5t^2-7t^3+9t^4-7t^5+5t^6-3t^7+t^8
Seifert matrix of 10_17
-1 -1 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0
0 0 1 0 0 0 1 0
-1 -1 0 -1 -1 0 0 0
0 -1 0 0 -1 0 0 0
-1 -1 1 -1 -1 1 1 1
0 0 0 0 0 0 1 0
0 0 1 0 0 0 1 1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
-1
41
First homology
of the double branched cover of 10_17
Z/41
0 0
10_18
1

detected by
an unknotting move
-4+14t-19t^2+14t^3-4t^4
Seifert matrix of 10_18
-1 -1 0 0
0 -2 0 0
0 -1 -1 1
0 0 0 2
1 or 2
55
First homology
of the double branched cover of 10_18
Z/55
-2 2
10_19
2

detected by
the Lickorish test
2-7t+11t^2-11t^3+11t^4-7t^5+2t^6
Seifert matrix of 10_19
-1 -1 0 0 -1 0
0 -1 0 0 0 0
0 0 2 0 0 0
-1 -1 0 -1 -1 0
0 -1 0 0 -1 0
-1 -1 -1 -1 -1 1
1 or 2
51
First homology
of the double branched cover of 10_19
Z/51
-2 2
10_20
2

detected by
the Lickorish test
-3+9t-11t^2+9t^3-3t^4
Seifert matrix of 10_20
1 0 0 0
0 -1 0 -1
-1 1 -3 1
0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
t^-2-3t^-1+4-3t+t^2
35
First homology
of the double branched cover of 10_20
Z/35
-2 2
10_21
2

detected by
the signature
-2+7t-9t^2+9t^3-9t^4+7t^5-2t^6
Seifert matrix of 10_21
1 0 0 0 0 0
-1 -1 -1 1 -1 -1
-1 0 -1 1 -1 0
1 0 0 -2 1 0
-1 0 0 0 -1 0
-1 0 -1 1 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-3-4t^-2+6t^-1-6+6t-4t^2+t^3
45
First homology
of the double branched cover of 10_21
Z/45
-4 4
10_22
1

detected by
an unknotting move
-2+6t-10t^2+13t^3-10t^4+6t^5-2t^6
Seifert matrix of 10_22
1 0 0 0 0 0
1 1 0 1 0 0
0 0 -1 0 0 -1
1 0 0 1 0 0
1 1 -1 1 -2 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-3-3t^-2+5t^-1-6+5t-3t^2+t^3
49
First homology
of the double branched cover of 10_22
Z/49
0 0
10_23
1

detected by
an unknotting move
2-7t+13t^2-15t^3+13t^4-7t^5+2t^6
Seifert matrix of 10_23
-1 0 0 0 0 0
0 1 0 0 0 1
0 -1 2 0 0 -1
-1 0 0 -1 0 0
-1 1 -1 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,t,1+t,0)
the Blanchfield form on it
2t^-2-3t^-1+3-3t+2t^2
59
First homology
of the double branched cover of 10_23
Z/59
2 2
10_24
2

detected by
the Lickorish test
-4+14t-19t^2+14t^3-4t^4
Seifert matrix of 10_24
1 0 0 0
0 -1 1 0
0 0 -2 0
1 -1 1 -2
1 or 2
55
First homology
of the double branched cover of 10_24
Z/55
-2 2
10_25
2

detected by
the signature
-2+8t-14t^2+17t^3-14t^4+8t^5-2t^6
Seifert matrix of 10_25
1 0 0 0 0 0
-1 -1 1 1 -1 1
1 0 -2 -2 1 -2
1 0 -1 -2 1 -1
-1 0 0 0 -1 0
1 0 -1 -2 1 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-2t^-2+7t^-1-9+7t-2t^2
65
First homology
of the double branched cover of 10_25
Z/65
-4 4
10_26
1

detected by
an unknotting move
-2+7t-13t^2+17t^3-13t^4+7t^5-2t^6
Seifert matrix of 10_26
1 0 0 0 0 0
1 1 0 0 0 1
-1 -1 -1 1 -1 -1
1 1 0 -2 1 1
-1 -1 0 0 -1 -1
1 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-3-4t^-2+8t^-1-10+8t-4t^2+t^3
61
First homology
of the double branched cover of 10_26
Z/61
0 0
10_27
1

detected by
an unknotting move
2-8t+16t^2-19t^3+16t^4-8t^5+2t^6
Seifert matrix of 10_27
-1 0 0 0 0 0
0 2 1 0 0 1
0 2 2 0 0 2
-1 0 0 -1 0 0
-1 -1 -1 -1 1 -1
0 2 1 0 0 2
1
Generator of the Alexander module
(0,0,0,t,1+t,0)
the Blanchfield form on it
2t^-2-4t^-1+5-4t+2t^2
71
First homology
of the double branched cover of 10_27
Z/71
2 2
10_28
1

detected by
an unknotting move
4-13t+19t^2-13t^3+4t^4
Seifert matrix of 10_28
-1 0 0 0
0 2 0 0
-1 0 -1 0
1 1 1 2
1
Generator of the Alexander module
(0,0,-1,1)
the Blanchfield form on it
2t^-1-3+2t
53
First homology
of the double branched cover of 10_28
Z/53
0 0
10_29
2

detected by
the Lickorish test
1-7t+15t^2-17t^3+15t^4-7t^5+t^6
Seifert matrix of 10_29
-1 0 0 0 -1 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 0 1 -1 0
0 0 0 0 -1 0
-1 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1+t,0,t^2)
the Blanchfield form on it
t^-2-7t^-1+13-7t+t^2
63
First homology
of the double branched cover of 10_29
Z/63
-2 2
10_30
1

detected by
an unknotting move
-4+17t-25t^2+17t^3-4t^4
Seifert matrix of 10_30
1 0 0 0
-1 -1 0 1
0 0 -2 0
1 0 -1 -2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
1
67
First homology
of the double branched cover of 10_30
Z/67
-2 2
10_31
1

detected by
an unknotting move
4-14t+21t^2-14t^3+4t^4
Seifert matrix of 10_31
-1 0 -1 0
0 2 0 0
0 0 -2 0
0 -1 1 1
1 or 2
57
First homology
of the double branched cover of 10_31
Z/57
0 0
10_32
1

detected by
an unknotting move
-2+8t-15t^2+19t^3-15t^4+8t^5-2t^6
Seifert matrix of 10_32
-1 0 0 -1 0 0
0 1 0 0 0 0
0 1 1 0 0 1
0 0 0 -2 0 0
0 -1 -1 -1 -1 -1
0 1 0 0 0 1
1
Generator of the Alexander module
(-t,0,0,1,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
69
First homology
of the double branched cover of 10_32
Z/69
0 2
10_33
1

detected by
an unknotting move
4-16t+25t^2-16t^3+4t^4
Seifert matrix of 10_33
-2 1 0 0
0 -1 0 0
0 0 2 0
1 -1 -1 1
1 or 2
65
First homology
of the double branched cover of 10_33
Z/65
0 0
10_34
1

detected by
an unknotting move
3-9t+13t^2-9t^3+3t^4
Seifert matrix of 10_34
-1 0 0 0
-1 -1 0 0
-1 -1 3 1
0 0 0 1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
t^-2-3t^-1+4-3t+t^2
37
First homology
of the double branched cover of 10_34
Z/37
0 0
10_35
1

detected by
an unknotting move
2-12t+21t^2-12t^3+2t^4
Seifert matrix of 10_35
-1 -1 0 0
0 1 0 0
0 0 -1 0
1 0 1 2
1
Generator of the Alexander module
(0,0,1,-1)
the Blanchfield form on it
-t^-1+3-t
49
First homology
of the double branched cover of 10_35
Z/49
0 0
10_36
2

detected by
the Lickorish test
-3+13t-19t^2+13t^3-3t^4
Seifert matrix of 10_36
1 0 0 0
-1 -1 0 -1
0 0 -1 1
-1 0 0 -3
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-t^-1+3-t
51
First homology
of the double branched cover of 10_36
Z/51
-2 2
10_37
1

detected by
an unknotting move
4-13t+19t^2-13t^3+4t^4
Seifert matrix of 10_37
-1 -1 0 0
0 -2 0 0
0 0 1 0
0 -1 -1 2
1
Generator of the Alexander module
(-2t+t^2,0,-2+t,1-4t+2t^2)
the Blanchfield form on it
-4t^-1+7-4t
53
First homology
of the double branched cover of 10_37
Z/53
0 0
10_38
1

detected by
an unknotting move
-4+15t-21t^2+15t^3-4t^4
Seifert matrix of 10_38
-1 0 -1 0
0 1 0 0
0 0 -2 0
0 1 1 -2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
2t^-2-7t^-1+10-7t+2t^2
59
First homology
of the double branched cover of 10_38
Z/59
-2 2
10_39
2

detected by
the signature
-2+8t-13t^2+15t^3-13t^4+8t^5-2t^6
Seifert matrix of 10_39
1 0 0 0 0 0
-1 -1 -1 0 -1 1
-1 0 -1 0 0 1
0 0 0 -1 0 -1
-1 0 -1 0 -1 1
1 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
61
First homology
of the double branched cover of 10_39
Z/61
-4 4
10_40
2

detected by
the Lickorish test
2-8t+17t^2-21t^3+17t^4-8t^5+2t^6
Seifert matrix of 10_40
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 1 -1 0
0 0 0 1 0 0
0 0 0 -1 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1,1)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
75
First homology
of the double branched cover of 10_40
Z/75
2 2
10_41
1

detected by
an unknotting move
1-7t+17t^2-21t^3+17t^4-7t^5+t^6
Seifert matrix of 10_41
1 0 0 0 0 0
-1 -1 0 -1 -1 0
0 0 -1 0 0 -1
-1 0 0 -1 0 0
-1 0 0 -1 -1 -1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,1,1+3t-4t^2+t^3,2-2t,1-2t+3t^2-t^3,0)
the Blanchfield form on it
t^-2-7t^-1+14-7t+t^2
71
First homology
of the double branched cover of 10_41
Z/71
-2 2
10_42
1

detected by
an unknotting move
-1+7t-19t^2+27t^3-19t^4+7t^5-t^6
Seifert matrix of 10_42
-1 0 0 0 0 0
0 1 0 0 0 0
-1 0 -1 0 0 0
-1 0 -1 1 1 0
0 0 0 0 1 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
2t^-2-7t^-1+11-7t+2t^2
81
First homology
of the double branched cover of 10_42
Z/81
0 0
10_43
1

detected by
an unknotting move
-1+7t-17t^2+23t^3-17t^4+7t^5-t^6
Seifert matrix of 10_43
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 0 0
0 0 0 -1 0 0
0 0 0 1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-t^-1+1-t
73
First homology
of the double branched cover of 10_43
Z/73
0 0
10_44
1

detected by
an unknotting move
1-7t+19t^2-25t^3+19t^4-7t^5+t^6
Seifert matrix of 10_44
1 0 0 0 0 0
-1 -1 0 -1 0 0
0 0 1 0 -1 0
-1 0 -1 -1 0 0
0 0 0 0 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,-1,1,0,-1)
the Blanchfield form on it
t^-2-5t^-1+8-5t+t^2
79
First homology
of the double branched cover of 10_44
Z/79
-2 2
10_45
1

detected by
an unknotting move
-1+7t-21t^2+31t^3-21t^4+7t^5-t^6
Seifert matrix of 10_45
1 0 0 0 0 0
-1 -1 0 0 -1 0
0 0 1 0 0 0
0 0 0 -1 0 1
-1 0 -1 0 -1 -1
0 0 1 0 0 1
1
Generator of the Alexander module
(t^2,-t-2t^2-2t^3+3t^4+4t^5+t^6,1-3t^2-t^3,-1+3t^2+4t^3+t^4,1+t-3t^2-t^3,2+t-6t^2-2t^3)
the Blanchfield form on it
x
89
First homology
of the double branched cover of 10_45
Z/89
0 0
10_46
3

detected by
the signature
-1+3t-4t^2+5t^3-5t^4+5t^5-4t^6+3t^7-t^8
Seifert matrix of 10_46
-1 0 0 -1 -1 -1 -1 -1
0 1 0 0 0 0 0 0
-1 0 -1 -1 -1 -1 -1 -1
0 -1 0 -1 -1 -1 -1 -1
0 -1 0 0 -1 -1 0 -1
0 -1 0 0 0 -1 0 0
0 -1 0 0 -1 -1 -1 -1
0 -1 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,1,-t,0,0,0,0,0)
the Blanchfield form on it
-t^-3+2t^-2-2t^-1+2-2t+2t^2-t^3
31
First homology
of the double branched cover of 10_46
Z/31
-6 6
10_47
2

detected by
the signature
-1+3t-6t^2+7t^3-7t^4+7t^5-6t^6+3t^7-t^8
Seifert matrix of 10_47
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 0 1 0 0
-1 -1 1 1 0 1 1 0
-1 -1 1 1 1 1 1 1
0 0 0 0 0 1 0 0
-1 -1 1 0 0 1 1 0
-1 -1 1 1 0 1 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
t^-3-3t^-2+6t^-1-7+6t-3t^2+t^3
41
First homology
of the double branched cover of 10_47
Z/41
4 4
10_48
1

detected by
an unknotting move
1-3t+6t^2-9t^3+11t^4-9t^5+6t^6-3t^7+t^8
Seifert matrix of 10_48
-1 -1 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0
-1 -1 -1 0 -1 0 0 0
0 0 0 1 0 0 1 0
0 -1 0 0 -1 0 0 0
0 -1 0 1 -1 1 1 1
0 0 0 0 0 0 1 0
0 0 0 1 0 0 1 1
1
Generator of the Alexander module
(0,0,-t,0,1,0,0,0)
the Blanchfield form on it
t^-3-2t^-2+4t^-1-4+4t-2t^2+t^3
49
First homology
of the double branched cover of 10_48
Z/49
0 0
10_49
3

detected by
the signature
3-8t+12t^2-13t^3+12t^4-8t^5+3t^6
Seifert matrix of 10_49
-1 -1 -1 -1 -1 -1
0 -2 -2 -1 -2 -2
0 -1 -2 -1 -1 -2
0 -1 -1 -2 -1 -1
0 -1 -2 -1 -2 -2
0 -1 -1 -1 -1 -2
1
Generator of the Alexander module
(t,0,0,1,0,0)
the Blanchfield form on it
3t^-2-4t^-1+4-4t+3t^2
59
First homology
of the double branched cover of 10_49
Z/59
-6 6
10_50
2

detected by
the signature
-2+7t-11t^2+13t^3-11t^4+7t^5-2t^6
Seifert matrix of 10_50
-1 0 0 -1 1 -1
0 1 0 0 0 0
-1 0 -1 -1 1 -1
0 -1 0 -1 1 -1
0 1 0 0 -2 1
0 -1 0 0 0 -1
1
Generator of the Alexander module
(0,0,-1,0,1,1)
the Blanchfield form on it
-6t^-2+17t^-1-19+17t-6t^2
53
First homology
of the double branched cover of 10_50
Z/53
-4 4
10_51
1

detected by
an unknotting move
2-7t+15t^2-19t^3+15t^4-7t^5+2t^6
Seifert matrix of 10_51
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 0 1
1 1 -1 2 0 -1
-1 -1 1 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,-2t,1,0)
the Blanchfield form on it
5t^-3-18t^-2+39t^-1-50+39t-18t^2+5t^3
67
First homology
of the double branched cover of 10_51
Z/67
2 2
10_52
1

detected by
an unknotting move
2-7t+13t^2-15t^3+13t^4-7t^5+2t^6
Seifert matrix of 10_52
-1 -1 0 0 -1 0
0 -1 0 0 0 0
-1 -1 -1 0 -1 0
0 0 0 2 0 0
0 -1 0 0 -1 0
0 -1 0 -1 -1 1
1
Generator of the Alexander module
(0,0,t-t^4,0,0,1+t-t^3)
the Blanchfield form on it
2t^-2-5t^-1+8-5t+2t^2
59
First homology
of the double branched cover of 10_52
Z/59
-2 2
10_53
2

detected by
the signature
6-18t+25t^2-18t^3+6t^4
Seifert matrix of 10_53
-1 -1 1 -1
0 -2 2 -1
0 1 -3 1
0 -1 1 -2
1
Generator of the Alexander module
(0,0,1,-2)
the Blanchfield form on it
-17t^-2+56t^-1-78+56t-17t^2
73
First homology
of the double branched cover of 10_53
Z/73
-4 4
10_54
1

detected by
an unknotting move
2-6t+10t^2-11t^3+10t^4-6t^5+2t^6
Seifert matrix of 10_54
-1 -1 0 0 0 0
0 -2 0 0 0 0
0 1 1 0 1 0
0 1 1 1 1 1
0 0 0 0 1 0
0 1 1 0 1 1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
47
First homology
of the double branched cover of 10_54
Z/47
2 2
10_55
2

detected by
the signature
5-15t+21t^2-15t^3+5t^4
Seifert matrix of 10_55
-1 -1 1 0
0 -2 1 0
0 1 -3 0
0 0 -1 -1
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
3t^-1-5+3t
61
First homology
of the double branched cover of 10_55
Z/61
-4 4
10_56
2

detected by
the signature
-2+8t-14t^2+17t^3-14t^4+8t^5-2t^6
Seifert matrix of 10_56
-1 0 -1 0 0 0
0 1 0 0 0 0
0 0 -2 0 0 0
0 -1 -1 -1 -1 -1
0 -1 -1 0 -1 0
0 -1 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-2t^-2+8t^-1-11+8t-2t^2
65
First homology
of the double branched cover of 10_56
Z/65
-4 4
10_57
1

detected by
an unknotting move
2-8t+18t^2-23t^3+18t^4-8t^5+2t^6
Seifert matrix of 10_57
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 1 0
0 0 0 1 0 0
0 0 0 0 1 0
1 1 -1 1 -1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-5t^-2+12t^-1-16+12t-5t^2+t^3
79
First homology
of the double branched cover of 10_57
Z/79
2 2
10_58
1

detected by
an unknotting move
3-16t+27t^2-16t^3+3t^4
Seifert matrix of 10_58
1 0 0 0
1 -2 0 -1
0 0 1 -1
1 -1 0 -2
1
Generator of the Alexander module
(0,0,t,1)
the Blanchfield form on it
2t^-1-5+2t
65
First homology
of the double branched cover of 10_58
Z/65
0 0
10_59
1

detected by
an unknotting move
1-7t+18t^2-23t^3+18t^4-7t^5+t^6
Seifert matrix of 10_59
-1 -1 -1 -1 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
0 -1 0 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
75
First homology
of the double branched cover of 10_59
Z/75
-2 2
10_60
1

detected by
an unknotting move
-1+7t-20t^2+29t^3-20t^4+7t^5-t^6
Seifert matrix of 10_60
1 0 0 0 0 0
-1 -1 0 -1 0 -1
0 0 1 0 0 0
-1 0 -1 -1 0 -1
0 0 0 0 1 0
-1 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
1
85
First homology
of the double branched cover of 10_60
Z/85
0 0
10_61
2

detected by
the signature
-2+5t-6t^2+7t^3-6t^4+5t^5-2t^6
Seifert matrix of 10_61
-1 0 -1 -1 0 -1
-1 -1 -1 -1 0 -1
0 0 -1 -1 1 -1
0 0 0 -1 1 0
0 0 0 0 2 0
0 0 0 -1 1 -1
2
33
First homology
of the double branched cover of 10_61
Z/33
-4 4
10_62
2

detected by
the signature
1-3t+6t^2-8t^3+9t^4-8t^5+6t^6-3t^7+t^8
Seifert matrix of 10_62
-1 0 0 0 0 0 0 0
0 1 0 0 0 1 0 0
-1 0 -1 0 0 0 0 0
-1 1 -1 1 0 1 1 0
-1 1 -1 1 1 1 1 1
0 0 0 0 0 1 0 0
0 1 0 0 0 1 1 0
-1 1 -1 1 0 1 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+3t^-2-5t^-1+5-5t+3t^2-t^3
45
First homology
of the double branched cover of 10_62
Z/45
4 4
10_63
2

detected by
the signature
5-14t+19t^2-14t^3+5t^4
Seifert matrix of 10_63
-1 1 -1 -1
0 -3 1 1
0 1 -2 -2
0 1 -1 -2
2
57
First homology
of the double branched cover of 10_63
Z/57
-4 4
10_64
1

detected by
an unknotting move
-1+3t-6t^2+10t^3-11t^4+10t^5-6t^6+3t^7-t^8
Seifert matrix of 10_64
-1 0 0 0 -1 -1 0 -1
0 1 0 0 0 0 0 0
0 1 1 0 0 0 1 0
-1 0 0 -1 -1 -1 0 -1
0 -1 -1 0 -1 -1 -1 -1
0 -1 -1 0 0 -1 -1 0
0 1 0 0 0 0 1 0
0 -1 -1 0 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
-t^-3+3t^-2-5t^-1+7-5t+3t^2-t^3
51
First homology
of the double branched cover of 10_64
Z/51
-2 2
10_65
2

detected by
the Lickorish test
2-7t+14t^2-17t^3+14t^4-7t^5+2t^6
Seifert matrix of 10_65
-1 0 0 0 0 0
0 2 0 0 0 0
-1 0 -1 0 0 0
-1 -1 -1 1 0 0
-1 -1 -1 1 1 1
-1 -1 -1 1 0 1
2
63
First homology
of the double branched cover of 10_65
Z/63
2 2
10_66
3

detected by
the signature
3-9t+16t^2-19t^3+16t^4-9t^5+3t^6
Seifert matrix of 10_66
-1 0 -1 -1 0 -1
0 -1 0 -1 0 0
0 0 -2 -1 0 -2
0 0 -1 -2 0 -1
0 -1 0 -1 -1 0
0 0 -1 -1 0 -2
1
Generator of the Alexander module
(1,0,0,0,1,0)
the Blanchfield form on it
6t^-2-15t^-1+20-15t+6t^2
75
First homology
of the double branched cover of 10_66
Z/75
-6 6
10_67
2

detected by
the Lickorish test
-4+16t-23t^2+16t^3-4t^4
Seifert matrix of 10_67
1 0 0 0
0 -1 0 -1
1 0 -2 -1
1 0 0 -2
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
2t^-2-8t^-1+12-8t+2t^2
63
First homology
of the double branched cover of 10_67
Z/63
-2 2
10_68
1

detected by
an unknotting move
4-14t+21t^2-14t^3+4t^4
Seifert matrix of 10_68
-1 0 0 0
1 2 1 0
-1 0 -1 0
1 1 1 2
1
Generator of the Alexander module
(0,4-6t+4t^2,0,-3+4t-2t^2)
the Blanchfield form on it
-4t^-1+8-4t
57
First homology
of the double branched cover of 10_68
Z/57
0 0
10_69
2

detected by
the Lickorish test
1-7t+21t^2-29t^3+21t^4-7t^5+t^6
Seifert matrix of 10_69
-1 0 -1 0 0 -1
0 1 0 0 0 0
0 0 1 0 0 0
-1 0 0 1 1 0
0 0 0 0 1 0
0 1 -1 0 0 -1
1 or 2
87
First homology
of the double branched cover of 10_69
Z/87
2 2
10_70
1

detected by
an unknotting move
1-7t+16t^2-19t^3+16t^4-7t^5+t^6
Seifert matrix of 10_70
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 0 1 0 -1 0
-1 0 1 1 -1 1
0 0 0 0 -1 0
-1 0 1 0 -1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-2+7t^-1-13+7t-t^2
67
First homology
of the double branched cover of 10_70
Z/67
2 2
10_71
1

detected by
an unknotting move
-1+7t-18t^2+25t^3-18t^4+7t^5-t^6
Seifert matrix of 10_71
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 1 1 0
0 0 0 1 0 0
0 0 0 0 -1 0
0 0 0 0 1 1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
77
First homology
of the double branched cover of 10_71
Z/77
0 0
10_72
2

detected by
the signature
-2+9t-16t^2+19t^3-16t^4+9t^5-2t^6
Seifert matrix of 10_72
1 0 0 0 0 0
-1 -1 0 0 1 0
0 0 -1 0 -1 0
0 0 0 -1 0 -1
1 0 0 -1 -2 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,1+t-t^2,1-t,0,0)
the Blanchfield form on it
-2t^-2+7t^-1-8+7t-2t^2
73
First homology
of the double branched cover of 10_72
Z/73
-4 4
10_73
1

detected by
an unknotting move
1-7t+20t^2-27t^3+20t^4-7t^5+t^6
Seifert matrix of 10_73
-1 0 -1 -1 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 1 -1 -1 0 0
0 0 0 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-1
83
First homology
of the double branched cover of 10_73
Z/83
2 2
10_74
2

detected by
the Nakanishi index
-4+16t-23t^2+16t^3-4t^4
Seifert matrix of 10_74
1 0 0 0
-1 -1 1 1
1 0 -2 -1
1 0 0 -2
2
63
First homology
of the double branched cover of 10_74
Z/21+Z/3
-2 2
10_75
2

detected by
the Nakanishi index
-1+7t-19t^2+27t^3-19t^4+7t^5-t^6
Seifert matrix of 10_75
1 0 0 0 0 0
-1 -1 0 0 -1 -1
0 0 1 0 0 0
0 0 0 1 0 0
-1 0 -1 0 -1 -1
-1 0 0 -1 0 -1
2
81
First homology
of the double branched cover of 10_75
Z/27+Z/3
0 0
10_76
2

detected by
the signature
-2+7t-12t^2+15t^3-12t^4+7t^5-2t^6
Seifert matrix of 10_76
1 0 0 0 0 0
0 -1 0 0 0 -1
0 0 -1 0 -1 0
0 0 -1 -1 -1 0
1 -1 0 0 -2 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-2t^-2+6t^-1-7+6t-2t^2
57
First homology
of the double branched cover of 10_76
Z/57
-4 4
10_77
1

detected by
an unknotting move
2-7t+14t^2-17t^3+14t^4-7t^5+2t^6
Seifert matrix of 10_77
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 1 0 0 1
0 0 0 1 0 0
1 1 1 -1 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,1,0,1,0)
the Blanchfield form on it
-3t^-2+9t^-1-13+9t-3t^2
63
First homology
of the double branched cover of 10_77
Z/63
2 2
10_78
2

detected by
the signature
-1+7t-16t^2+21t^3-16t^4+7t^5-t^6
Seifert matrix of 10_78
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 1 0
0 0 0 -1 0 0
0 0 0 0 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,1,1,0,0,0)
the Blanchfield form on it
2t^-1-3+2t
69
First homology
of the double branched cover of 10_78
Z/69
-4 4
10_79
1

detected by
an unknotting move
1-3t+7t^2-12t^3+15t^4-12t^5+7t^6-3t^7+t^8
Seifert matrix of 10_79
-1 -1 0 -1 0 0 0 0
0 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 0 0 0
0 -1 0 -1 0 0 0 0
0 -1 0 -1 1 0 1 0
0 -1 0 -1 1 1 1 1
0 0 0 0 0 0 1 0
0 -1 0 -1 1 0 1 1
1
Generator of the Alexander module
(0,0,-t,1,0,0,0,0)
the Blanchfield form on it
t^-3-2t^-2+5t^-1-6+5t-2t^2+t^3
61
First homology
of the double branched cover of 10_79
Z/61
0 0
10_80
3

detected by
the signature
3-9t+15t^2-17t^3+15t^4-9t^5+3t^6
Seifert matrix of 10_80
-1 -1 -1 0 -1 0
0 -2 -1 0 -2 0
0 -1 -2 0 -1 0
0 -1 0 -1 -1 0
0 -1 -1 0 -2 0
0 -1 0 -1 -1 -1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
2t^-2-4t^-1+5-4t+2t^2
71
First homology
of the double branched cover of 10_80
Z/71
-6 6
10_81
1

detected by
an unknotting move
-1+8t-20t^2+27t^3-20t^4+8t^5-t^6
Seifert matrix of 10_81
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 0 0
0 0 0 -1 0 0
-1 -1 0 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,t,0,-t,1)
the Blanchfield form on it
t^-2-7t^-1+10-7t+t^2
85
First homology
of the double branched cover of 10_81
Z/85
0 0
10_82
1

detected by
an unknotting move
-1+4t-8t^2+12t^3-13t^4+12t^5-8t^6+4t^7-t^8
Seifert matrix of 10_82
1 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0
-1 -1 -1 -1 -1 -1 -1 -1
1 0 0 1 0 0 0 0
0 -1 0 0 -1 -1 0 -1
0 -1 0 0 0 -1 0 0
0 -1 0 0 -1 -1 -1 -1
0 -1 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+4t^-2-8t^-1+11-8t+4t^2-t^3
63
First homology
of the double branched cover of 10_82
Z/63
-2 2
10_83
1

detected by
an unknotting move
2-9t+19t^2-23t^3+19t^4-9t^5+2t^6
Seifert matrix of 10_83
1 0 0 0 0 -1
0 -1 0 0 0 0
1 0 1 0 0 -1
-1 1 -1 2 0 1
1 -1 1 -1 1 -1
0 -1 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-14+11t-5t^2+t^3
83
First homology
of the double branched cover of 10_83
Z/83
2 2
10_84
1

detected by
an unknotting move
2-9t+20t^2-25t^3+20t^4-9t^5+2t^6
Seifert matrix of 10_84
-1 0 -1 0 0 0
0 -1 -1 0 0 0
0 0 -2 0 0 0
0 -1 -1 -1 0 0
0 0 1 0 1 1
0 1 1 0 0 1
1
Generator of the Alexander module
(1-t,0,0,0,2-t,0)
the Blanchfield form on it
2t^-2-7t^-1+10-7t+2t^2
87
First homology
of the double branched cover of 10_84
Z/87
-2 2
10_85
2

detected by
the signature
1-4t+8t^2-10t^3+11t^4-10t^5+8t^6-4t^7+t^8
Seifert matrix of 10_85
1 0 0 0 0 -1 0 0
0 -1 0 0 0 0 0 0
1 0 1 0 0 -1 0 0
1 -1 1 1 0 -1 1 0
1 -1 1 1 1 -1 1 1
0 -1 0 0 0 -1 0 0
1 -1 1 0 0 -1 1 0
1 -1 1 1 0 -1 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-8t^-1+9-8t+4t^2-t^3
57
First homology
of the double branched cover of 10_85
Z/57
4 4
10_86
2

detected by
the Lickorish test
-2+9t-19t^2+25t^3-19t^4+9t^5-2t^6
Seifert matrix of 10_86
1 0 0 0 0 0
1 1 0 1 0 0
-1 -1 -1 -1 1 -1
1 0 0 1 0 0
0 1 0 0 -2 1
0 -1 0 0 0 -1
1
Generator of the Alexander module
(0,-t,t,0,1,0)
the Blanchfield form on it
-t^-2+3t^-1-4+3t-t^2
85
First homology
of the double branched cover of 10_86
Z/85
0 0
10_87
1

detected by
an unknotting move
-2+9t-18t^2+23t^3-18t^4+9t^5-2t^6
Seifert matrix of 10_87
-1 0 -1 0 0 0
0 1 0 0 0 0
0 0 -2 -1 0 -1
0 1 0 1 0 1
0 -1 -1 -1 -1 -1
0 1 0 0 0 1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
81
First homology
of the double branched cover of 10_87
Z/81
0 0
10_88
1

detected by
an unknotting move
-1+8t-24t^2+35t^3-24t^4+8t^5-t^6
Seifert matrix of 10_88
1 0 0 0 0 0
-1 -1 -1 0 -1 -1
0 0 1 0 0 1
0 0 -1 -1 0 -1
-1 0 -1 0 -1 0
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-2-5t^-1+9-5t+t^2
101
First homology
of the double branched cover of 10_88
Z/101
0 0
10_89
2

detected by
the Lickorish test
1-8t+24t^2-33t^3+24t^4-8t^5+t^6
Seifert matrix of 10_89
-1 -1 0 0 0 0
0 1 0 0 0 0
0 0 1 0 0 0
-1 0 0 1 -1 1
-1 -1 1 0 -1 0
0 0 0 0 -1 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-1-3+t
99
First homology
of the double branched cover of 10_89
Z/99
2 2
10_90
1

detected by
an unknotting move
-2+8t-17t^2+23t^3-17t^4+8t^5-2t^6
Seifert matrix of 10_90
-1 -1 0 0 -1 1
0 1 0 1 1 0
-1 0 -1 0 0 1
0 0 0 1 0 0
0 0 0 1 1 0
0 1 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-4t^-2+9t^-1-12+9t-4t^2+t^3
77
First homology
of the double branched cover of 10_90
Z/77
0 0
10_91
1

detected by
an unknotting move
1-4t+9t^2-14t^3+17t^4-14t^5+9t^6-4t^7+t^8
Seifert matrix of 10_91
1 0 1 0 0 1 -1 0
0 -1 0 0 0 0 0 0
0 0 1 0 0 1 0 0
0 -1 0 -1 0 0 0 -1
1 0 1 -1 1 1 -1 -1
0 0 0 0 0 1 0 0
0 -1 0 -1 0 0 -1 -1
0 -1 0 0 0 0 0 -1
1
Generator of the Alexander module
(0,1,0,-t,-t,0,-t-2t^4,0)
the Blanchfield form on it
-9t^-3+30t^-2-64t^-1+85-64t+30t^2-9t^3
73
First homology
of the double branched cover of 10_91
Z/73
0 0
10_92
2

detected by
the signature
-2+10t-20t^2+25t^3-20t^4+10t^5-2t^6
Seifert matrix of 10_92
-1 0 -1 -1 0 -1
0 1 0 0 0 0
0 -1 -2 -2 0 -2
0 0 -1 -2 0 -1
0 -1 -1 -1 -1 -1
0 -1 -1 -2 0 -2
1
Generator of the Alexander module
(t,0,0,0,1,0)
the Blanchfield form on it
3t^-3-17t^-2+38t^-1-48+38t-17t^2+3t^3
89
First homology
of the double branched cover of 10_92
Z/89
-4 4
10_93
1

detected by
an unknotting move
2-8t+15t^2-17t^3+15t^4-8t^5+2t^6
Seifert matrix of 10_93
-1 0 0 0 0 -1
-1 1 1 1 1 -1
0 0 1 0 0 0
-1 0 1 1 1 0
-1 0 1 0 1 0
0 0 0 0 0 -2
1
Generator of the Alexander module
(0,-t,0,0,1+t^2,0)
the Blanchfield form on it
-2t^-2+8t^-1-13+8t-2t^2
67
First homology
of the double branched cover of 10_93
Z/67
2 2
10_94
1

detected by
an unknotting move
-1+4t-9t^2+14t^3-15t^4+14t^5-9t^6+4t^7-t^8
Seifert matrix of 10_94
-1 -1 0 0 -1 -1 -1 -1
0 1 0 1 0 0 1 0
-1 0 -1 0 -1 -1 0 -1
0 0 0 1 0 0 0 0
0 -1 0 0 -1 -1 0 -1
0 -1 0 0 0 -1 0 0
0 0 0 1 0 0 1 0
0 -1 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
-t^-3+4t^-2-8t^-1+11-8t+4t^2-t^3
71
First homology
of the double branched cover of 10_94
Z/71
-2 2
10_95
1

detected by
an unknotting move
2-9t+21t^2-27t^3+21t^4-9t^5+2t^6
Seifert matrix of 10_95
-1 0 0 0 0 0
0 2 0 1 0 1
-1 0 -1 0 0 0
-1 0 -1 1 0 0
-1 -1 -1 0 1 0
-1 0 -1 1 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-1
91
First homology
of the double branched cover of 10_95
Z/91
2 2
10_96
1

detected by
an unknotting move
-1+7t-22t^2+33t^3-22t^4+7t^5-t^6
Seifert matrix of 10_96
-1 -1 -1 1 0 -1
0 -1 -1 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 -1 0 0 1 -1
0 -1 -1 1 0 -1
1 or 2
93
First homology
of the double branched cover of 10_96
Z/93
0 0
10_97
2

detected by
the Lickorish test
-5+22t-33t^2+22t^3-5t^4
Seifert matrix of 10_97
1 0 0 0
1 -2 -1 -1
1 -1 -2 -1
1 0 -1 -2
1
Generator of the Alexander module
(0,-1,1,1)
the Blanchfield form on it
-3t^-1+8-3t
87
First homology
of the double branched cover of 10_97
Z/87
-2 2
10_98
2

detected by
the Nakanishi index
-2+9t-18t^2+23t^3-18t^4+9t^5-2t^6
Seifert matrix of 10_98
-1 0 -1 0 -1 0
0 1 0 0 0 0
0 -1 -1 0 -1 0
0 -1 0 -1 0 0
0 0 0 1 -2 1
0 -1 0 -1 0 -1
2
81
First homology
of the double branched cover of 10_98
Z/27+Z/3
-4 4
10_99
2

detected by
the Nakanishi index
1-4t+10t^2-16t^3+19t^4-16t^5+10t^6-4t^7+t^8
Seifert matrix of 10_99
-1 -1 0 0 0 0 -1 0
0 -1 0 0 0 0 0 0
-1 -1 -1 0 0 0 -1 0
-1 0 -1 1 0 1 0 0
-1 -1 -1 1 1 1 -1 1
0 0 0 0 0 1 0 0
0 -1 0 0 0 0 -1 0
-1 -1 -1 1 0 1 -1 1
2
81
First homology
of the double branched cover of 10_99
Z/9+Z/9
0 0
10_100
2

detected by
the signature
1-4t+9t^2-12t^3+13t^4-12t^5+9t^6-4t^7+t^8
Seifert matrix of 10_100
1 0 1 0 0 1 -1 0
0 -1 0 0 0 0 0 0
0 0 1 0 0 1 0 0
1 0 1 1 0 1 -1 0
1 -1 1 1 1 1 -1 1
0 0 0 0 0 1 0 0
0 -1 0 0 0 0 -1 0
1 -1 1 1 0 1 -1 1
1
Generator of the Alexander module
(0,0,0,-1+t,0,0,1,2-t)
the Blanchfield form on it
-t^-3+3t^-2-6t^-1+7-6t+3t^2-t^3
65
First homology
of the double branched cover of 10_100
Z/65
4 4
10_101
2

detected by
the signature
7-21t+29t^2-21t^3+7t^4
Seifert matrix of 10_101
-1 1 -1 0
0 -3 1 -1
0 1 -2 -1
0 -1 0 -2
1 or 2
85
First homology
of the double branched cover of 10_101
Z/85
-4 4
10_102
1

detected by
an unknotting move
-2+8t-16t^2+21t^3-16t^4+8t^5-2t^6
Seifert matrix of 10_102
1 0 0 0 0 0
1 1 1 0 0 0
1 0 1 0 0 0
0 -1 0 -1 0 0
1 1 1 1 -2 1
0 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-3-4t^-2+8t^-1-10+8t-4t^2+t^3
73
First homology
of the double branched cover of 10_102
Z/73
0 0
10_103
3

detected by
the new u==2 criterion
2-8t+17t^2-21t^3+17t^4-8t^5+2t^6
Seifert matrix of 10_103
-1 0 0 0 0 0
0 2 1 1 1 1
0 0 1 0 0 0
-1 0 1 1 0 1
-1 0 0 0 -1 0
-1 0 1 0 0 1
2
75
First homology
of the double branched cover of 10_103
Z/15+Z/5
2 2
10_104
1

detected by
an unknotting move
1-4t+9t^2-15t^3+19t^4-15t^5+9t^6-4t^7+t^8
Seifert matrix of 10_104
-1 -1 0 -1 0 0 0 0
0 -1 0 0 0 0 0 0
-1 0 1 0 0 -1 1 0
0 -1 0 -1 0 0 0 0
-1 -1 1 -1 1 -1 1 1
-1 -1 0 -1 0 -1 0 0
-1 0 0 0 0 -1 1 0
-1 0 1 0 0 -1 1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,-1)
the Blanchfield form on it
-t^-2+3t^-1-7+3t-t^2
77
First homology
of the double branched cover of 10_104
Z/77
0 0
10_105
2

detected by
the Lickorish test
1-8t+22t^2-29t^3+22t^4-8t^5+t^6
Seifert matrix of 10_105
-1 0 0 0 0 0
0 -1 0 0 0 0
-1 1 1 -1 0 1
-1 0 0 -1 0 0
-1 1 0 -1 1 0
0 -1 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
91
First homology
of the double branched cover of 10_105
Z/91
-2 2
10_106
2

detected by
the Lickorish test
-1+4t-9t^2+15t^3-17t^4+15t^5-9t^6+4t^7-t^8
Seifert matrix of 10_106
1 0 0 0 0 0 0 0
1 1 0 0 1 0 0 0
-1 -1 -1 -1 -1 -1 -1 -1
-1 -1 0 -1 -1 -1 0 -1
1 0 0 0 1 0 0 0
0 -1 0 0 0 -1 0 0
-1 -1 0 -1 -1 -1 -1 -1
0 -1 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-8t^-1+11-8t+4t^2-t^3
75
First homology
of the double branched cover of 10_106
Z/75
-2 2
10_107
1

detected by
an unknotting move
-1+8t-22t^2+31t^3-22t^4+8t^5-t^6
Seifert matrix of 10_107
-1 0 0 0 0 0
0 -1 0 0 0 0
-1 1 1 -1 0 0
-1 0 0 -1 0 0
-1 0 0 -1 1 1
-1 1 0 -1 0 1
1
Generator of the Alexander module
(0,-6,3,1,-2t^2,-11-t-3t^2)
the Blanchfield form on it
-127t^-2-8t^-1-30-8t-127t^2
93
First homology
of the double branched cover of 10_107
Z/93
0 0
10_108
2

detected by
the Lickorish test
2-8t+14t^2-15t^3+14t^4-8t^5+2t^6
Seifert matrix of 10_108
-1 -1 0 -1 0 0
0 -1 0 0 0 0
1 0 2 0 0 1
0 -1 0 -1 0 0
-1 -1 -1 -1 1 -1
-1 -1 0 -1 0 -1
1
Generator of the Alexander module
(-15+120t-268t^2+162t^3+198t^4-864t^5+1218t^6-1320t^7+768t^8-192t^9,24-186t+84t^2+336t^3-1108t^4+1516t^5-1720t^6+1036t^7-264t^8,5-42t+96t^2-142t^3+154t^4-124t^5+58t^6-12t^7,-9+70t-36t^2-114t^3+394t^4-544t^5+622t^6-376t^7+96t^8,6t-48t^2-72t^3+348t^4-780t^5+960t^6-996t^7+576t^8-144t^9,-10+84t-192t^2+2
the Blanchfield form on it
x
63
First homology
of the double branched cover of 10_108
Z/63
-2 2
10_109
2

detected by
the Lickorish test
1-4t+10t^2-17t^3+21t^4-17t^5+10t^6-4t^7+t^8
Seifert matrix of 10_109
-1 -1 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0
-1 -1 -1 0 -1 0 0 0
-1 0 -1 1 0 0 1 0
0 -1 0 0 -1 0 0 0
-1 -1 -1 1 -1 1 1 1
0 0 0 0 0 0 1 0
-1 0 -1 1 0 0 1 1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
-t^-1+1-t
85
First homology
of the double branched cover of 10_109
Z/85
0 0
10_110
1

detected by
an unknotting move
1-8t+20t^2-25t^3+20t^4-8t^5+t^6
Seifert matrix of 10_110
1 0 0 0 0 0
1 -1 0 0 1 0
-1 0 -1 0 -1 0
0 -1 0 -1 1 -1
0 0 0 0 1 0
1 -1 0 0 1 -1
1
Generator of the Alexander module
(0,1-6t+10t^2-12t^3+2t^4+9t^5-14t^6+11t^7-5t^8+t^9,t-2t^2+5t^3-4t^4+3t^5-t^6,1-4t+4t^2+3t^3-18t^4+28t^5-26t^6+16t^7-6t^8+t^9,-4+5t-8t^2-t^3+10t^4-14t^5+11t^6-5t^7+t^8,0)
the Blanchfield form on it
x
83
First homology
of the double branched cover of 10_110
Z/83
-2 2
10_111
2

detected by
the signature
-2+9t-17t^2+21t^3-17t^4+9t^5-2t^6
Seifert matrix of 10_111
-1 0 -1 -1 0 -1
0 1 0 0 0 0
0 -1 -1 -1 0 -1
0 0 0 -2 1 0
0 -1 0 0 -1 0
0 -1 0 -1 0 -1
1
Generator of the Alexander module
(-2t+2t^2-2t^3,0,2-2t+2t^2,3-2t+2t^2,0,2-2t+2t^2)
the Blanchfield form on it
-2t^-2+8t^-1-11+8t-2t^2
77
First homology
of the double branched cover of 10_111
Z/77
-4 4
10_112
1

detected by
an unknotting move
-1+5t-11t^2+17t^3-19t^4+17t^5-11t^6+5t^7-t^8
Seifert matrix of 10_112
1 0 0 0 0 -1 0 0
0 -1 0 0 0 0 0 0
0 -1 -1 0 0 0 0 0
1 -1 -1 1 0 -1 1 0
1 -1 -1 1 1 -1 1 1
0 -1 -1 0 0 -1 0 0
1 0 -1 0 0 -1 1 0
1 -1 -1 1 0 -1 1 1
1
Generator of the Alexander module
(0,0,1,-t^4,0,-t,0,0)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
87
First homology
of the double branched cover of 10_112
Z/87
2 2
10_113
1

detected by
an unknotting move
2-11t+26t^2-33t^3+26t^4-11t^5+2t^6
Seifert matrix of 10_113
-1 0 -1 0 0 -1
0 1 0 0 0 0
0 -1 -2 -1 0 -2
0 1 0 1 0 0
0 -1 -1 -1 -1 -1
0 0 -1 -1 0 -2
1
Generator of the Alexander module
(3-4t+2t^2,0,2,0,0,0)
the Blanchfield form on it
-69t^-3+380t^-2-899t^-1+1142-899t+380t^2-69t^3
111
First homology
of the double branched cover of 10_113
Z/111
-2 2
10_114
1

detected by
an unknotting move
-2+10t-21t^2+27t^3-21t^4+10t^5-2t^6
Seifert matrix of 10_114
1 0 0 -1 0 0
0 -1 0 0 0 0
0 -1 -1 0 0 0
0 -1 -1 -1 0 0
1 0 -1 -1 1 0
-1 1 1 1 -1 2
1
Generator of the Alexander module
(0,0,1,1,t,1-t)
the Blanchfield form on it
2t^-2-7t^-1+8-7t+2t^2
93
First homology
of the double branched cover of 10_114
Z/93
0 2
10_115
2

detected by
A(F_2)
-1+9t-26t^2+37t^3-26t^4+9t^5-t^6
Seifert matrix of 10_115
-1 0 0 0 0 0
0 -1 0 0 0 0
0 1 1 -1 0 0
-1 0 0 -1 0 0
-1 0 0 -1 1 1
0 1 0 -1 0 1
2
109
First homology
of the double branched cover of 10_115
Z/109
0 0
10_116
2

detected by
the Lickorish test
-1+5t-12t^2+19t^3-21t^4+19t^5-12t^6+5t^7-t^8
Seifert matrix of 10_116
1 0 -1 0 0 1 0 0
0 -1 0 0 0 0 0 0
0 -1 -1 0 0 0 -1 0
1 0 -1 1 0 1 -1 0
1 -1 -1 1 1 1 -1 1
0 0 0 0 0 1 0 0
0 -1 0 0 0 0 -1 0
1 -1 -1 1 0 1 -1 1
1
Generator of the Alexander module
(0,0,0,0,0,0,0,1)
the Blanchfield form on it
t^-3-4t^-2+8t^-1-11+8t-4t^2+t^3
95
First homology
of the double branched cover of 10_116
Z/95
2 2
10_117
1

detected by
an unknotting move
2-10t+24t^2-31t^3+24t^4-10t^5+2t^6
Seifert matrix of 10_117
-1 0 0 0 0 0
0 2 1 0 1 1
0 0 1 0 0 0
-1 -1 0 1 -1 0
-1 0 0 0 -1 0
-1 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-1+1-t
103
First homology
of the double branched cover of 10_117
Z/103
2 2
10_118
1

detected by
an unknotting move
1-5t+12t^2-19t^3+23t^4-19t^5+12t^6-5t^7+t^8
Seifert matrix of 10_118
1 0 0 0 0 -1 0 0
0 -1 0 0 0 0 0 0
0 -1 -1 0 0 0 -1 0
1 0 -1 1 0 -1 -1 0
1 -1 -1 1 1 -1 -1 1
0 -1 -1 0 0 -1 -1 0
0 -1 0 0 0 0 -1 0
1 -1 -1 1 0 -1 -1 1
1
Generator of the Alexander module
(0,-1,0,t,1,0,0,t)
the Blanchfield form on it
-t^-3+4t^-2-8t^-1+9-8t+4t^2-t^3
97
First homology
of the double branched cover of 10_118
Z/97
0 0
10_119
1

detected by
an unknotting move
-2+10t-23t^2+31t^3-23t^4+10t^5-2t^6
Seifert matrix of 10_119
1 0 0 0 0 0
0 1 0 0 0 0
-1 0 -1 -1 1 -1
0 -1 0 -1 0 0
-1 1 0 0 2 0
0 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,4t-2t^2,t,1,t)
the Blanchfield form on it
-2t^-2+6t^-1-9+6t-2t^2
101
First homology
of the double branched cover of 10_119
Z/101
0 0
10_120
2

detected by
the signature
8-26t+37t^2-26t^3+8t^4
Seifert matrix of 10_120
-2 1 0 0
0 -2 -1 -1
-1 -1 -2 -1
-1 0 -1 -2
1
Generator of the Alexander module
(0,0,1-t,t)
the Blanchfield form on it
-28t^-2+95t^-1-136+95t-28t^2
105
First homology
of the double branched cover of 10_120
Z/105
-4 4
10_121
2

detected by
the Lickorish test
2-11t+27t^2-35t^3+27t^4-11t^5+2t^6
Seifert matrix of 10_121
-1 0 0 -1 0 -1
-1 1 -1 -1 1 0
-1 0 -1 -1 0 -1
0 0 0 -2 0 -2
0 0 -1 0 1 0
0 0 0 -1 0 -2
1
Generator of the Alexander module
(0,1,0,0,1,0)
the Blanchfield form on it
-2t^-1+3-2t
115
First homology
of the double branched cover of 10_121
Z/115
-2 2
10_122
2

detected by
the Lickorish test
-2+11t-24t^2+31t^3-24t^4+11t^5-2t^6
Seifert matrix of 10_122
-1 0 0 0 0 0
0 2 0 0 1 1
-1 0 -1 0 0 0
-1 -1 -1 1 -1 0
-1 0 -1 0 -1 0
0 0 -1 0 0 1
2
105
First homology
of the double branched cover of 10_122
Z/105
0 2
10_123
2

detected by
the Nakanishi index
1-6t+15t^2-24t^3+29t^4-24t^5+15t^6-6t^7+t^8
Seifert matrix of 10_123
1 0 0 0 0 0 0 0
0 -1 -1 0 0 -1 0 -1
1 0 1 0 1 0 0 1
-1 -1 -1 -1 -1 -1 -1 -1
1 0 0 0 1 0 0 0
0 0 -1 0 0 -1 0 0
0 -1 -1 0 -1 -1 -1 -1
1 0 0 0 1 0 0 1
2
121
First homology
of the double branched cover of 10_123
Z/11+Z/11
0 0
10_124
4

detected by
the signature
-1+t-t^3+t^4-t^5+t^7-t^8
Seifert matrix of 10_124
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 -1 -1 0 -1 -1
-1 -1 0 -1 -1 0 0 -1
-1 -1 0 0 -1 0 0 0
0 0 -1 -1 -1 -1 -1 -1
-1 -1 0 -1 -1 0 -1 -1
-1 -1 0 0 -1 0 0 -1
1
Generator of the Alexander module
(0,1,0,0,0,0,0,0)
the Blanchfield form on it
-t^-3+t^-2-t^-1+1-t+t^2-t^3
1
First homology
of the double branched cover of 10_124
0
-8 8
10_125
1

detected by
an unknotting move
1-2t+2t^2-t^3+2t^4-2t^5+t^6
Seifert matrix of 10_125
-1 -1 -1 -1 -1 -1
0 0 -1 -1 -1 -1
0 0 0 -1 0 -1
0 -1 -1 -2 -1 -1
0 0 -1 -1 0 -1
0 0 0 -1 0 0
1
Generator of the Alexander module
(1,0,0,0,1,0)
the Blanchfield form on it
-t^-2+t^-1+t-t^2
11
First homology
of the double branched cover of 10_125
Z/11
2 2
10_126
1

detected by
an unknotting move
1-2t+4t^2-5t^3+4t^4-2t^5+t^6
Seifert matrix of 10_126
-1 -1 -1 -1 -1 -1
0 0 -1 -1 -1 -1
0 0 0 -1 0 -1
0 -1 -1 0 -1 -1
0 0 -1 -1 0 -1
0 0 0 -1 0 0
1
Generator of the Alexander module
(-t,0,0,1,0,0)
the Blanchfield form on it
t^-2-2t^-1+2-2t+t^2
19
First homology
of the double branched cover of 10_126
Z/19
2 2
10_127
2

detected by
the signature
-1+4t-6t^2+7t^3-6t^4+4t^5-t^6
Seifert matrix of 10_127
-1 -1 -1 -1 -1 -1
0 -2 -2 -1 -2 -2
0 -1 -2 -1 -1 -2
0 -1 -1 0 -1 -1
0 -1 -2 -1 -2 -2
0 -1 -1 -1 -1 -2
1
Generator of the Alexander module
(-t,0,0,1,0,0)
the Blanchfield form on it
-t^-2+2t^-1-2+2t-t^2
29
First homology
of the double branched cover of 10_127
Z/29
-4 4
10_128
3

detected by
the signature
2-3t+t^2+t^3+t^4-3t^5+2t^6
Seifert matrix of 10_128
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 1 -1 0
1 1 0 -2 1 0
-1 -1 0 0 -1 0
0 0 -1 1 -1 -1
1
Generator of the Alexander module
(0,1,0,-1,1,0)
the Blanchfield form on it
2t^-2-5t^-1+7-5t+2t^2
11
First homology
of the double branched cover of 10_128
Z/11
-6 6
10_129
1

detected by
an unknotting move
2-6t+9t^2-6t^3+2t^4
Seifert matrix of 10_129
-1 -1 1 -1
0 0 1 -1
0 0 1 1
0 -1 1 -2
1
Generator of the Alexander module
(t,0,0,1)
the Blanchfield form on it
2t^-1-2+2t
25
First homology
of the double branched cover of 10_129
Z/25
0 0
10_130
1

detected by
an unknotting move
2-4t+5t^2-4t^3+2t^4
Seifert matrix of 10_130
-1 -1 1 -1
0 0 1 -1
0 0 1 1
0 -1 1 0
1
Generator of the Alexander module
(-t,0,0,1)
the Blanchfield form on it
2t^-1-4+2t
17
First homology
of the double branched cover of 10_130
Z/17
0 2
10_131
1

detected by
an unknotting move
-2+8t-11t^2+8t^3-2t^4
Seifert matrix of 10_131
-1 -1 1 -1
0 -2 2 -1
0 1 -3 1
0 -1 1 0
1
Generator of the Alexander module
(0,0,1,-1)
the Blanchfield form on it
-2t^-1+3-2t
31
First homology
of the double branched cover of 10_131
Z/31
-2 2
10_132
1

detected by
an unknotting move
1-t+t^2-t^3+t^4
Seifert matrix of 10_132
-1 -1 1 0
0 0 1 0
0 1 1 1
0 0 0 1
1
Generator of the Alexander module
(-1,0,1,0)
the Blanchfield form on it
t^-1-2+t
5
First homology
of the double branched cover of 10_132
Z/5
0 2
10_133
1

detected by
an unknotting move
-1+5t-7t^2+5t^3-t^4
Seifert matrix of 10_133
-3 -2 -2 0
-3 -3 -2 0
-2 -2 -1 0
-1 -1 -1 -1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
1
19
First homology
of the double branched cover of 10_133
Z/19
-2 2
10_134
3

detected by
the signature
2-4t+4t^2-3t^3+4t^4-4t^5+2t^6
Seifert matrix of 10_134
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 0 0 1
0 0 0 -1 0 -1
0 0 -1 0 -1 1
1 1 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
23
First homology
of the double branched cover of 10_134
Z/23
-6 6
10_135
1

detected by
an unknotting move
3-9t+13t^2-9t^3+3t^4
Seifert matrix of 10_135
1 0 -1 1
0 -1 0 0
-1 -1 -2 0
0 0 0 1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-t^-2+3t^-1-4+3t-t^2
37
First homology
of the double branched cover of 10_135
Z/37
0 0
10_136
1

detected by
an unknotting move
-1+4t-5t^2+4t^3-t^4
Seifert matrix of 10_136
0 0 1 1
1 1 1 2
0 0 1 0
2 1 1 4
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
t^-1-2+t
15
First homology
of the double branched cover of 10_136
Z/15
2 2
10_137
1

detected by
an unknotting move
1-6t+11t^2-6t^3+t^4
Seifert matrix of 10_137
1 0 0 0
-1 0 1 -1
1 1 -2 0
0 0 0 -1
1
Generator of the Alexander module
(0,1,-2,0)
the Blanchfield form on it
-t^-1+4-t
25
First homology
of the double branched cover of 10_137
Z/25
0 0
10_138
1

detected by
an unknotting move
1-5t+8t^2-7t^3+8t^4-5t^5+t^6
Seifert matrix of 10_138
1 0 0 0 0 0
-1 -1 0 -1 0 -1
0 0 -1 0 0 0
-1 0 -1 -1 0 -1
0 0 0 0 1 0
-1 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-2t^-1+5-2t
35
First homology
of the double branched cover of 10_138
Z/35
-2 2
10_139
3

detected by
the signature
1-t+2t^3-3t^4+2t^5-t^7+t^8
Seifert matrix of 10_139
-1 0 0 0 0 0 0 0
0 -1 0 -1 -1 0 -1 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 -1 -1 0 0 -1
-1 0 -1 0 -1 0 0 0
0 -1 0 -1 -1 -1 -1 -1
0 0 0 -1 -1 0 -1 -1
-1 0 -1 0 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
t^-3-t^-2+t^-1-1+t-t^2+t^3
3
First homology
of the double branched cover of 10_139
Z/3
-6 6
10_140
2

detected by
A(F_2)
1-2t+3t^2-2t^3+t^4
Seifert matrix of 10_140
1 2 0 2
1 1 0 2
0 0 -1 1
0 0 0 1
2
9
First homology
of the double branched cover of 10_140
Z/9
0 0
10_141
1

detected by
an unknotting move
-1+3t-4t^2+5t^3-4t^4+3t^5-t^6
Seifert matrix of 10_141
-1 0 -1 -1 0 -1
0 1 0 0 1 0
0 0 -2 -1 0 -2
0 1 -1 0 1 -1
0 0 0 0 1 0
0 0 -1 -1 0 -2
1
Generator of the Alexander module
(-t,0,1,1,0,1)
the Blanchfield form on it
1
21
First homology
of the double branched cover of 10_141
Z/21
0 2
10_142
3

detected by
the signature
2-3t+2t^2-t^3+2t^4-3t^5+2t^6
Seifert matrix of 10_142
-1 0 0 0 0 0
0 -2 0 1 1 1
-1 0 -1 0 0 0
-1 0 -1 -1 -1 -1
-1 0 -1 0 -1 0
-1 0 -1 0 -1 -1
2
15
First homology
of the double branched cover of 10_142
Z/15
-6 6
10_143
1

detected by
an unknotting move
1-3t+6t^2-7t^3+6t^4-3t^5+t^6
Seifert matrix of 10_143
-1 0 -1 -1 0 -1
0 1 0 0 1 0
0 0 0 -1 0 -1
0 1 -1 0 1 -1
0 0 0 0 1 0
0 0 0 -1 0 0
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-1
27
First homology
of the double branched cover of 10_143
Z/27
2 2
10_144
2

detected by
the Lickorish test
-3+10t-13t^2+10t^3-3t^4
Seifert matrix of 10_144
-2 -1 -1 -1
-1 1 -1 -1
-2 -1 -2 -1
0 0 0 -1
2
39
First homology
of the double branched cover of 10_144
Z/39
-2 2
10_145
1

detected by
an unknotting move
1+t-3t^2+t^3+t^4
Seifert matrix of 10_145
1 0 0 0
1 1 0 -1
1 0 1 0
1 0 0 1
1
Generator of the Alexander module
(0,1,t,0)
the Blanchfield form on it
t^-1-2+t
3
First homology
of the double branched cover of 10_145
Z/3
2 2
10_146
1

detected by
an unknotting move
2-8t+13t^2-8t^3+2t^4
Seifert matrix of 10_146
1 0 1 0
1 2 1 0
1 1 0 0
0 -1 -1 -1
1
Generator of the Alexander module
(7t+14t^2-21t^3+7t^4,-1-2t+3t^2-t^3,54t+60t^2-162t^3+94t^4-16t^5,2t-2t^2-6t^3+7t^4-2t^5)
the Blanchfield form on it
1425t^-6-12200t^-5+35579t^-4-13578t^-3-171458t^-2+492598t^-1-664732+492598t-171458t^2-13578t^3+35579t^4-12200t^5+1425t^6
33
First homology
of the double branched cover of 10_146
Z/33
0 0
10_147
1

detected by
an unknotting move
-2+7t-9t^2+7t^3-2t^4
Seifert matrix of 10_147
-1 0 -1 0
0 0 0 1
0 0 -1 0
0 2 2 2
1
Generator of the Alexander module
(1+2t-2t^2,-1-2t+t^2,0,-1-4t+2t^2)
the Blanchfield form on it
-2t^-1+3-2t
27
First homology
of the double branched cover of 10_147
Z/27
-2 2
10_148
1

detected by
an unknotting move
1-3t+7t^2-9t^3+7t^4-3t^5+t^6
Seifert matrix of 10_148
-1 -1 -1 0 -1 0
0 0 -1 1 -1 1
0 -1 0 0 -1 0
0 0 0 1 0 1
0 0 -1 1 0 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,t,1,-1,1)
the Blanchfield form on it
t^-2-3t^-1+4-3t+t^2
31
First homology
of the double branched cover of 10_148
Z/31
2 2
10_149
2

detected by
the signature
-1+5t-9t^2+11t^3-9t^4+5t^5-t^6
Seifert matrix of 10_149
-1 -1 -1 0 -1 0
0 -2 -1 0 -2 0
0 -1 0 0 -1 0
0 -1 0 -1 -1 0
0 -1 -1 0 -2 0
0 -1 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+4t^-1-5+4t-t^2
41
First homology
of the double branched cover of 10_149
Z/41
-4 4
10_150
2

detected by
the signature
-1+4t-6t^2+7t^3-6t^4+4t^5-t^6
Seifert matrix of 10_150
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 -1 0 0
0 0 0 1 0 0
-1 -1 0 -1 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,-t)
the Blanchfield form on it
-t^-2+3t^-1-2+3t-t^2
29
First homology
of the double branched cover of 10_150
Z/29
-4 4
10_151
1

detected by
an unknotting move
1-4t+10t^2-13t^3+10t^4-4t^5+t^6
Seifert matrix of 10_151
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 0 0
0 0 0 1 0 0
-1 -1 0 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-1+1-t
43
First homology
of the double branched cover of 10_151
Z/43
2 2
10_152
3

detected by
the signature
1-t-t^2+4t^3-5t^4+4t^5-t^6-t^7+t^8
Seifert matrix of 10_152
-1 -1 0 -1 0 0 0 0
0 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 0 0 0
0 -1 0 -1 0 0 0 0
0 -1 0 -1 -1 -1 0 -1
0 -1 0 -1 0 -1 0 0
0 0 0 0 -1 -1 -1 -1
0 -1 0 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,0,0,1)
the Blanchfield form on it
t^-3-t^-2+1-t^2+t^3
11
First homology
of the double branched cover of 10_152
Z/11
-6 6
10_153
1

detected by
an unknotting move
1-t-t^2+3t^3-t^4-t^5+t^6
Seifert matrix of 10_153
-1 -1 -1 0 -1 0
0 0 -1 1 -1 1
0 -1 -2 0 -1 0
0 0 0 1 0 1
0 0 -1 1 0 1
0 0 0 0 0 1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
2t^-1-3+2t
1
First homology
of the double branched cover of 10_153
0
0 0
10_154
2

detected by
the signature
1-4t^2+7t^3-4t^4+t^6
Seifert matrix of 10_154
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 -1 0 0
0 0 0 -1 0 0
-1 -1 0 -1 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,1,0,0,0,t)
the Blanchfield form on it
t^-2+2t^-1-4+2t+t^2
13
First homology
of the double branched cover of 10_154
Z/13
-4 4
10_155
2

detected by
the Nakanishi index
-1+3t-5t^2+7t^3-5t^4+3t^5-t^6
Seifert matrix of 10_155
-1 -1 0 0 0 -1
0 1 0 -1 0 0
-1 -1 -1 0 0 -1
0 -1 0 1 1 -1
0 0 0 0 1 0
0 -1 0 0 0 0
2
25
First homology
of the double branched cover of 10_155
Z/5+Z/5
0 0
10_156
1

detected by
an unknotting move
1-4t+8t^2-9t^3+8t^4-4t^5+t^6
Seifert matrix of 10_156
-1 0 0 0 0 0
0 1 0 0 0 0
-1 1 1 -1 0 0
-1 0 0 -1 0 0
-1 0 0 -1 1 1
-1 1 0 -1 0 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-1
35
First homology
of the double branched cover of 10_156
Z/35
2 2
10_157
2

detected by
the Nakanishi index
-1+6t-11t^2+13t^3-11t^4+6t^5-t^6
Seifert matrix of 10_157
0 0 0 -1 0 0
0 1 0 0 0 0
-1 0 0 -1 0 0
-1 1 -1 0 0 1
-1 0 -1 0 1 1
0 0 0 0 0 1
2
49
First homology
of the double branched cover of 10_157
Z/7+Z/7
4 4
10_158
1

detected by
an unknotting move
-1+4t-10t^2+15t^3-10t^4+4t^5-t^6
Seifert matrix of 10_158
1 0 0 0 0 0
0 -1 0 0 0 0
1 -1 1 0 0 0
1 0 1 -1 1 1
0 -1 0 0 -1 0
1 -1 1 0 0 1
1
Generator of the Alexander module
(-t^2-t^4-t^5,2t^4+2t^6+t^7-3t^8-2t^9,t^2+t^4+t^5,-1-t+t^2+2t^3-t^4+2t^6-4t^7-4t^8+4t^9+4t^10,-t^5-t^6,-t^2+2t^3+2t^5+2t^6)
the Blanchfield form on it
x
45
First homology
of the double branched cover of 10_158
Z/45
0 0
10_159
1

detected by
an unknotting move
1-4t+9t^2-11t^3+9t^4-4t^5+t^6
Seifert matrix of 10_159
0 -1 -1 -1 0 -1
-1 -2 -1 -1 -1 -1
-1 -2 -2 -1 -1 -1
0 0 0 -1 0 0
-1 -2 -2 -1 -2 -1
0 -1 0 -1 0 0
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
1
39
First homology
of the double branched cover of 10_159
Z/39
-2 2
10_160
2

detected by
the signature
-1+4t-4t^2+3t^3-4t^4+4t^5-t^6
Seifert matrix of 10_160
-1 0 0 0 0 0
0 1 0 0 0 0
-1 1 -1 -1 0 0
-1 0 0 -1 0 0
-1 0 0 -1 -1 0
-1 1 0 -1 -1 -1
1 or 2
21
First homology
of the double branched cover of 10_160
Z/21
-4 4
10_161
2

detected by
the signature
1-2t^2+3t^3-2t^4+t^6
Seifert matrix of 10_161
-1 0 0 0 0 0
0 -1 0 0 0 0
-1 1 -1 -1 0 0
-1 0 0 -1 0 0
-1 0 0 -1 -1 0
-1 1 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,t)
the Blanchfield form on it
-t^-2+3t^-1-4+3t-t^2
5
First homology
of the double branched cover of 10_161
Z/5
-4 4
10_162
1

detected by
an unknotting move
-3+9t-11t^2+9t^3-3t^4
Seifert matrix of 10_162
1 -1 0 -1
-1 0 -1 -1
1 -1 1 -1
0 -2 0 -1
1 or 2
35
First homology
of the double branched cover of 10_162
Z/35
2 2
10_163
2

detected by
the Lickorish test
1-5t+12t^2-15t^3+12t^4-5t^5+t^6
Seifert matrix of 10_163
1 0 0 -1 0 0
0 -1 0 0 0 0
0 -1 -1 0 0 0
0 -1 -1 -1 0 0
1 0 -1 -1 1 0
-1 1 1 1 -1 -1
2
51
First homology
of the double branched cover of 10_163
Z/51
-2 2
10_164
1

detected by
an unknotting move
3-11t+17t^2-11t^3+3t^4
Seifert matrix of 10_164
3 0 3 0
-1 -3 0 -2
1 0 2 0
0 -1 1 -1
1
Generator of the Alexander module
(0,4t,2,-1+2t)
the Blanchfield form on it
3t^-1-5+3t
45
First homology
of the double branched cover of 10_164
Z/45
0 0
10_165
2

detected by
the Lickorish test
-2+10t-15t^2+10t^3-2t^4
Seifert matrix of 10_165
2 1 2 0
1 2 2 0
1 2 2 -1
0 1 0 0
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
2t^-1-4+2t
39
First homology
of the double branched cover of 10_165
Z/39
2 2
11a_1
1

detected by
an unknotting move
2-12t+30t^2-39t^3+30t^4-12t^5+2t^6
Seifert matrix of 11a_1
1 0 0 0 0 0
-1 -1 0 -1 0 1
0 0 1 0 0 0
-1 0 -1 -1 0 1
0 0 0 0 -1 -1
1 0 1 0 0 -2
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-2-5t^-1+9-5t+t^2
127
First homology
of the double branched cover of 11a_1
Z/127
-2 2
11a_2
2

detected by
the signature
-3+15t-31t^2+39t^3-31t^4+15t^5-3t^6
Seifert matrix of 11a_2
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 -1 -1 -1 -1
1 0 0 -2 -1 -2
1 0 0 -1 -2 -1
1 0 0 -1 -1 -2
1
Generator of the Alexander module
(0,0,-2+t,0,0,-3+2t)
the Blanchfield form on it
-6t^-2+21t^-1-25+21t-6t^2
137
First homology
of the double branched cover of 11a_2
Z/137
-4 4
11a_3
2

detected by
the Lickorish test
-1+5t-13t^2+24t^3-29t^4+24t^5-13t^6+5t^7-t^8
Seifert matrix of 11a_3
-1 -1 -1 -1 0 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
0 -1 0 -1 1 0 1 0
0 -1 0 -1 1 1 1 1
0 0 0 0 0 0 1 0
0 -1 0 -1 1 0 1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+12t^-1-17+12t-5t^2+t^3
115
First homology
of the double branched cover of 11a_3
Z/115
2 2
11a_4
1

detected by
an unknotting move
-2+10t-22t^2+29t^3-22t^4+10t^5-2t^6
Seifert matrix of 11a_4
-1 -1 -1 -1 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
0 0 0 0 1 0
0 1 0 1 -1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+5t^-2-10t^-1+12-10t+5t^2-t^3
97
First homology
of the double branched cover of 11a_4
Z/97
0 0
11a_5
1

detected by
an unknotting move
-1+9t-30t^2+45t^3-30t^4+9t^5-t^6
Seifert matrix of 11a_5
-1 0 -1 -1 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 1 -1 -1 0 0
0 0 0 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,1,t,2)
the Blanchfield form on it
t^-2-5t^-1+9-5t+t^2
125
First homology
of the double branched cover of 11a_5
Z/125
0 0
11a_6
1

detected by
an unknotting move
2-13t+32t^2-41t^3+32t^4-13t^5+2t^6
Seifert matrix of 11a_6
1 0 0 0 0 0
-1 -1 0 0 1 0
0 0 -1 0 -1 0
0 0 0 -1 0 -1
1 0 0 -1 -2 -1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,1-3t+t^2,-3+t,0,0)
the Blanchfield form on it
-2t^-2+7t^-1-8+7t-2t^2
135
First homology
of the double branched cover of 11a_6
Z/135
-2 2
11a_7
2

detected by
the Lickorish test
-1+5t-12t^2+19t^3-21t^4+19t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_7
-1 -1 -1 0 -1 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 1 0
0 -1 -1 0 -1 0 0 0
0 -1 0 1 -1 1 1 1
0 0 0 0 0 0 1 0
0 0 0 1 0 0 1 1
1
Generator of the Alexander module
(0,0,0,0,0,-1,0,0)
the Blanchfield form on it
t^-2-2t^-1+1-2t+t^2
95
First homology
of the double branched cover of 11a_7
Z/95
2 2
11a_8
1

detected by
an unknotting move
-2+11t-27t^2+37t^3-27t^4+11t^5-2t^6
Seifert matrix of 11a_8
-1 -1 -1 0 -1 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 0 0 2 0 0
0 -1 -1 0 -1 0
0 -1 0 -1 -1 1
1
Generator of the Alexander module
(-2t+4t^2,1-10t-4t^2,-1+2t+2t^2+8t^5-16t^6,1,-2t^2-4t^5+8t^6,-4+10t)
the Blanchfield form on it
x
117
First homology
of the double branched cover of 11a_8
Z/117
0 0
11a_9
2

detected by
the signature
1-5t+10t^2-11t^3+11t^4-11t^5+10t^6-5t^7+t^8
Seifert matrix of 11a_9
1 0 0 0 0 0 0 0
-1 -1 0 -1 -1 -1 -1 -1
0 0 1 0 0 0 0 0
-1 0 -1 -1 -1 -1 -1 -1
-1 0 -1 0 -1 -1 0 -1
-1 0 -1 0 0 -1 0 0
-1 0 -1 0 -1 -1 -1 -1
-1 0 -1 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
t^-3-5t^-2+10t^-1-11+10t-5t^2+t^3
65
First homology
of the double branched cover of 11a_9
Z/65
-4 4
11a_10
1

detected by
an unknotting move
2-11t+25t^2-31t^3+25t^4-11t^5+2t^6
Seifert matrix of 11a_10
1 0 0 0 0 0
-1 -1 0 -1 1 -1
0 0 1 0 0 0
-1 0 -1 -1 1 -1
1 0 1 0 -2 1
-1 0 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-t^-3+6t^-2-15t^-1+20-15t+6t^2-t^3
107
First homology
of the double branched cover of 11a_10
Z/107
-2 2
11a_11
1

detected by
an unknotting move
-2+11t-26t^2+35t^3-26t^4+11t^5-2t^6
Seifert matrix of 11a_11
-1 0 -1 1 0 0
0 -1 0 -1 0 0
0 0 1 0 0 0
0 0 1 -2 0 0
0 0 0 1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,2-t,0,0,-1+t,0)
the Blanchfield form on it
2t^-2-9t^-1+14-9t+2t^2
113
First homology
of the double branched cover of 11a_11
Z/113
0 0
11a_12
1

detected by
an unknotting move
2-11t+24t^2-29t^3+24t^4-11t^5+2t^6
Seifert matrix of 11a_12
1 0 0 0 0 0
-1 -1 0 0 1 0
0 0 1 0 0 0
0 0 0 -1 0 -1
1 0 1 -1 -2 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
1
103
First homology
of the double branched cover of 11a_12
Z/103
-2 2
11a_13
1

detected by
an unknotting move
3-15t+25t^2-15t^3+3t^4
Seifert matrix of 11a_13
1 0 0 0
-1 -1 0 -1
0 0 1 0
-1 0 -1 -3
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-t^-2+5t^-1-8+5t-t^2
61
First homology
of the double branched cover of 11a_13
Z/61
0 0
11a_14
1

detected by
an unknotting move
-1+5t-15t^2+28t^3-35t^4+28t^5-15t^6+5t^7-t^8
Seifert matrix of 11a_14
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 0 0 0
-1 -1 1 1 1 1 1 0
0 0 0 0 1 0 0 0
-1 -1 1 0 1 1 1 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,2-4t+t^2+8t^3-9t^4-2t^5+3t^6,4-6t+9t^3-9t^4-2t^5+3t^6,2-10t^2+22t^3-14t^4-7t^5+6t^6,1+t-7t^2+8t^3+2t^4-3t^5,-4t^2+7t^3-7t^4-2t^5+3t^6,4t-7t^2+7t^3+2t^4-3t^5,-6t+14t^2-10t^3-4t^4+4t^5)
the Blanchfield form on it
x
133
First homology
of the double branched cover of 11a_14
Z/133
0 0
11a_15
1

detected by
an unknotting move
1-5t+13t^2-22t^3+25t^4-22t^5+13t^6-5t^7+t^8
Seifert matrix of 11a_15
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 0 0 0
0 0 0 -1 0 -1 -1 -1
0 0 0 0 1 0 0 0
-1 -1 1 0 1 1 0 0
-1 -1 1 0 1 1 1 1
-1 -1 1 0 1 1 0 1
1
Generator of the Alexander module
(0,0,1+t^2,2+t^2,0,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-9t^-1+12-9t+4t^2-t^3
107
First homology
of the double branched cover of 11a_15
Z/107
2 2
11a_16
2

detected by
the Lickorish test
-2+10t-24t^2+33t^3-24t^4+10t^5-2t^6
Seifert matrix of 11a_16
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 1 0
0 0 0 -1 0 1
0 0 0 0 1 0
1 1 -1 0 -1 2
1
Generator of the Alexander module
(0,0,0,t,0,1)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
105
First homology
of the double branched cover of 11a_16
Z/105
0 0
11a_17
2

detected by
the Lickorish test
1-10t+30t^2-41t^3+30t^4-10t^5+t^6
Seifert matrix of 11a_17
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 0 0
0 0 0 -1 0 0
-1 -1 0 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,t,1+t,0,1+t,0)
the Blanchfield form on it
t^-2-7t^-1+13-7t+t^2
123
First homology
of the double branched cover of 11a_17
Z/123
-2 2
11a_18
1

detected by
an unknotting move
3-13t+29t^2-37t^3+29t^4-13t^5+3t^6
Seifert matrix of 11a_18
-1 -1 -1 -1 0 0
0 -2 -1 -2 0 0
0 -1 -2 -1 0 0
0 -1 -1 -2 0 0
0 1 0 1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(3-2t,0,0,0,-1+t,0)
the Blanchfield form on it
3t^-2-7t^-1+11-7t+3t^2
127
First homology
of the double branched cover of 11a_18
Z/127
-2 2
11a_19
2

detected by
the Lickorish test
1-6t+18t^2-33t^3+39t^4-33t^5+18t^6-6t^7+t^8
Seifert matrix of 11a_19
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 0 0 0
0 0 -1 -1 0 0 -1 0
0 0 0 0 1 0 0 0
0 0 0 -1 0 -1 0 -1
-1 -1 1 0 1 0 1 0
0 0 -1 -1 0 0 0 -1
1
Generator of the Alexander module
(0,-t,-1-2t,-2t^2,1,1-t+t^2,0,0)
the Blanchfield form on it
t^-3-5t^-2+12t^-1-17+12t-5t^2+t^3
155
First homology
of the double branched cover of 11a_19
Z/155
-2 2
11a_20
2

detected by
the signature
-3+13t-25t^2+31t^3-25t^4+13t^5-3t^6
Seifert matrix of 11a_20
-1 -1 0 0 -1 0
0 -2 0 0 -1 0
0 0 -1 0 -1 0
0 0 0 1 -1 0
0 -1 0 0 -2 0
0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,t,1,1)
the Blanchfield form on it
-3t^-2+10t^-1-14+10t-3t^2
113
First homology
of the double branched cover of 11a_20
Z/113
-4 4
11a_21
2

detected by
the Lickorish test
-5+19t-27t^2+19t^3-5t^4
Seifert matrix of 11a_21
-1 -1 1 0
0 -2 1 0
0 1 -3 0
0 0 1 1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-2t^-1+3-2t
75
First homology
of the double branched cover of 11a_21
Z/75
-2 2
11a_22
2

detected by
the signature
-1+5t-13t^2+20t^3-23t^4+20t^5-13t^6+5t^7-t^8
Seifert matrix of 11a_22
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 1 1 1 0 1
0 0 0 1 0 0 0 0
0 0 0 0 -1 -1 0 -1
0 0 0 0 0 -1 0 0
0 0 0 0 -1 -1 -1 -1
0 0 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,-1-t+t^3,0,1-t^3,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-9t^-1+10-9t+4t^2-t^3
101
First homology
of the double branched cover of 11a_22
Z/101
-4 4
11a_23
1

detected by
an unknotting move
2-10t+24t^2-31t^3+24t^4-10t^5+2t^6
Seifert matrix of 11a_23
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 1 0 -1
0 0 0 1 0 0
0 0 0 0 -1 1
0 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
103
First homology
of the double branched cover of 11a_23
Z/103
-2 2
11a_24
1

detected by
an unknotting move
-1+6t-18t^2+33t^3-41t^4+33t^5-18t^6+6t^7-t^8
Seifert matrix of 11a_24
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 1 1 1 1 0
0 0 0 1 0 0 0 0
-1 -1 0 1 1 1 1 1
0 0 0 0 0 -1 0 0
-1 -1 0 1 0 1 1 1
0 0 0 0 0 -1 0 -1
1
Generator of the Alexander module
(7-21t+28t^2-22t^3-2t^4+20t^5-20t^6+10t^7-2t^8,-4t+4t^2-12t^3+7t^4+5t^5-11t^6+8t^7-2t^8,-20t+24t^2-30t^3+10t^4+16t^5-24t^6+16t^7-4t^8,10-12t+15t^2-5t^3-8t^4+12t^5-8t^6+2t^7,-17t+13t^2-19t^3-3t^4+20t^5-16t^6+4t^7+4t^8-2t^9,10-12t+15t^2-5t^3-8t^4+12t^5-8t^6+2t^7,7-21t+28t^2-22t^3-2t^4+20t^5-20t^6+10t^
the Blanchfield form on it
x
157
First homology
of the double branched cover of 11a_24
Z/157
0 0
11a_25
2

detected by
the Lickorish test
1-6t+18t^2-33t^3+39t^4-33t^5+18t^6-6t^7+t^8
Seifert matrix of 11a_25
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 1 0 1 1 1
0 0 0 1 0 0 0 0
0 0 0 0 -1 -1 0 -1
0 0 0 0 0 -1 0 0
-1 -1 0 1 1 1 1 1
0 0 0 0 0 -1 0 -1
1
Generator of the Alexander module
(-1+2t-t^2,-1+2t-t^2,-2t+5t^2-13t^3+19t^4-15t^5+6t^6-t^7,0,0,0,2-5t+12t^2-8t^3-4t^4+9t^5-5t^6+t^7,2-t^2+4t^3-9t^4+10t^5-5t^6+t^7)
the Blanchfield form on it
x
155
First homology
of the double branched cover of 11a_25
Z/155
-2 2
11a_26
1

detected by
an unknotting move
-1+6t-18t^2+33t^3-41t^4+33t^5-18t^6+6t^7-t^8
Seifert matrix of 11a_26
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 0 0 0
0 0 -1 -1 0 0 -1 -1
0 0 0 0 1 0 0 0
0 0 -1 -1 0 -1 0 0
-1 -1 1 0 1 0 1 1
-1 -1 1 0 1 0 0 1
1
Generator of the Alexander module
(0,0,1+t-t^2,-t-t^2+t^3,0,-t-t^2+t^3,1+t-t^2,-t)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
157
First homology
of the double branched cover of 11a_26
Z/157
0 0
11a_27
2

detected by
the Lickorish test
2-13t+34t^2-45t^3+34t^4-13t^5+2t^6
Seifert matrix of 11a_27
1 0 0 0 0 0
-1 -1 0 0 -1 1
0 0 1 0 0 0
0 0 0 1 0 0
-1 0 -1 0 -1 0
0 0 1 -1 0 2
1
Generator of the Alexander module
(0,0,1,0,4-4t+t^2,1)
the Blanchfield form on it
2t^-1-3+2t
143
First homology
of the double branched cover of 11a_27
Z/143
2 2
11a_28
1

detected by
an unknotting move
-1+6t-15t^2+24t^3-29t^4+24t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_28
1 0 0 0 0 0 0 0
-1 -1 -1 0 -1 -1 -1 -1
0 0 1 1 0 0 1 0
0 0 0 1 0 0 0 0
-1 0 -1 0 -1 -1 0 -1
-1 0 -1 0 0 -1 0 0
0 0 0 1 0 0 1 0
-1 0 -1 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
-t^-3+6t^-2-14t^-1+17-14t+6t^2-t^3
121
First homology
of the double branched cover of 11a_28
Z/121
0 0
11a_29
1

detected by
an unknotting move
2-12t+27t^2-33t^3+27t^4-12t^5+2t^6
Seifert matrix of 11a_29
1 0 0 0 0 0
-1 -1 -1 0 -1 1
0 0 1 1 1 0
0 0 0 1 0 0
0 0 0 1 1 0
1 0 1 0 0 -2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+6t^-2-13t^-1+16-13t+6t^2-t^3
115
First homology
of the double branched cover of 11a_29
Z/115
2 2
11a_30
1

detected by
an unknotting move
-2+13t-35t^2+49t^3-35t^4+13t^5-2t^6
Seifert matrix of 11a_30
-1 -1 0 0 0 0
0 1 0 0 0 0
1 1 -2 0 0 0
0 0 -1 -1 0 0
-1 0 0 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-t^-2+6t^-1-11+6t-t^2
149
First homology
of the double branched cover of 11a_30
Z/149
0 0
11a_31
2

detected by
the signature
-3+14t-28t^2+35t^3-28t^4+14t^5-3t^6
Seifert matrix of 11a_31
-1 -1 0 -1 -1 -1
0 -2 0 -1 -2 -2
0 0 1 0 0 0
0 -1 0 -2 -1 -1
0 -1 -1 -1 -2 -2
0 -1 0 -1 -1 -2
1
Generator of the Alexander module
(t,0,0,1,0,0)
the Blanchfield form on it
-3t^-2+10t^-1-12+10t-3t^2
125
First homology
of the double branched cover of 11a_31
Z/125
-4 4
11a_32
1

detected by
an unknotting move
3-14t+32t^2-41t^3+32t^4-14t^5+3t^6
Seifert matrix of 11a_32
-1 -1 0 -1 0 -1
0 -2 0 -1 0 -2
0 0 1 0 0 -1
0 -1 0 -2 0 -1
0 0 1 0 1 -1
0 -1 0 -1 0 -2
1
Generator of the Alexander module
(t,0,0,1,0,0)
the Blanchfield form on it
3t^-2-10t^-1+16-10t+3t^2
139
First homology
of the double branched cover of 11a_32
Z/139
-2 2
11a_33
2

detected by
the Lickorish test
1-5t+12t^2-19t^3+21t^4-19t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_33
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 0 1 0 0
-1 -1 1 1 0 1 1 0
0 0 0 0 -1 0 0 -1
0 0 0 0 0 1 0 0
-1 -1 1 0 0 1 1 0
-1 -1 1 1 0 1 1 1
1
Generator of the Alexander module
(0,1+2t-3t^2+3t^3-3t^4+t^5,2t-7t^2+11t^3-16t^4+14t^5-14t^6+7t^7-5t^8+2t^9,2t^2-5t^3+4t^4-5t^5+2t^6,4t^3-10t^4+8t^5-10t^6+4t^7,0,-2+t-2t^2+3t^3-5t^4+4t^5-5t^6+2t^7,0)
the Blanchfield form on it
x
95
First homology
of the double branched cover of 11a_33
Z/95
2 2
11a_34
1

detected by
an unknotting move
1-5t+14t^2-25t^3+29t^4-25t^5+14t^6-5t^7+t^8
Seifert matrix of 11a_34
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 0 1 0 0
0 0 0 -1 -1 0 -1 -1
0 0 0 0 -1 0 -1 0
0 0 0 0 0 1 0 0
-1 -1 1 0 0 1 1 0
0 0 0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+12t^-1-17+12t-5t^2+t^3
119
First homology
of the double branched cover of 11a_34
Z/119
-2 2
11a_35
1

detected by
an unknotting move
-1+5t-14t^2+25t^3-31t^4+25t^5-14t^6+5t^7-t^8
Seifert matrix of 11a_35
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 0 1 0 0
0 0 0 -1 0 0 -1 0
-1 -1 1 0 1 1 0 1
0 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 0
-1 -1 1 1 0 1 1 1
1
Generator of the Alexander module
(0,0,0,0,0,0,0,1)
the Blanchfield form on it
1
121
First homology
of the double branched cover of 11a_35
Z/121
0 0
11a_36
1

detected by
an unknotting move
-2+12t-28t^2+37t^3-28t^4+12t^5-2t^6
Seifert matrix of 11a_36
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 -1 0
0 0 0 1 0 0
0 0 0 0 -1 0
1 1 -1 1 1 2
1
Generator of the Alexander module
(0,-t,-1,0,0,1+t)
the Blanchfield form on it
t^-4-4t^-3+4t^-2+4t^-1-10+4t+4t^2-4t^3+t^4
121
First homology
of the double branched cover of 11a_36
Z/121
0 0
11a_37
1

detected by
an unknotting move
-2+9t-21t^2+29t^3-21t^4+9t^5-2t^6
Seifert matrix of 11a_37
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 1 0 0
0 0 0 1 0 0
-1 -1 1 1 1 0
0 0 0 0 1 -2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-4t^-2+9t^-1-12+9t-4t^2+t^3
93
First homology
of the double branched cover of 11a_37
Z/93
0 0
11a_38
1

detected by
an unknotting move
-2+11t-27t^2+37t^3-27t^4+11t^5-2t^6
Seifert matrix of 11a_38
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 -1 0 0 -1
0 0 0 1 0 0
1 1 0 -1 2 0
-1 -1 0 1 -1 1
1
Generator of the Alexander module
(0,1+t+2t^2+t^3-t^4,-1-t-2t^2+t^3,-1-2t^2+t^3,-t-2t^3+t^4,2t+4t^3-2t^4)
the Blanchfield form on it
2t^-2-5t^-1+8-5t+2t^2
117
First homology
of the double branched cover of 11a_38
Z/117
0 0
11a_39
1

detected by
an unknotting move
-3+12t-22t^2+27t^3-22t^4+12t^5-3t^6
Seifert matrix of 11a_39
-1 0 -1 0 0 -1
0 1 0 0 1 0
0 0 -2 0 0 -1
0 1 0 1 1 -1
0 0 0 0 1 0
0 0 -1 0 0 -2
1
Generator of the Alexander module
(1+t^2,0,t,0,0,0)
the Blanchfield form on it
-3t^-2+8t^-1-8+8t-3t^2
101
First homology
of the double branched cover of 11a_39
Z/101
0 2
11a_40
2

detected by
the signature
-1+5t-12t^2+17t^3-19t^4+17t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_40
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
0 0 -1 0 0 -1 0 -1
-1 -1 0 1 1 1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 0 0
0 0 -1 0 0 -1 -1 -1
0 0 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,-t,0,0,1,-t,-t)
the Blanchfield form on it
-t^-3+5t^-2-12t^-1+15-12t+5t^2-t^3
89
First homology
of the double branched cover of 11a_40
Z/89
-4 4
11a_41
1

detected by
an unknotting move
2-11t+27t^2-35t^3+27t^4-11t^5+2t^6
Seifert matrix of 11a_41
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 -2 0 0 1
-1 -1 0 1 1 1
0 0 0 0 1 0
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+6t^-2-15t^-1+20-15t+6t^2-t^3
115
First homology
of the double branched cover of 11a_41
Z/115
-2 2
11a_42
1

detected by
an unknotting move
1-9t+26t^2-35t^3+26t^4-9t^5+t^6
Seifert matrix of 11a_42
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 1 0
0 0 0 -1 0 0
0 0 0 0 -1 0
0 0 0 0 1 1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-2-5t^-1+7-5t+t^2
107
First homology
of the double branched cover of 11a_42
Z/107
-2 2
11a_43
3

detected by
the signature
4-15t+30t^2-37t^3+30t^4-15t^5+4t^6
Seifert matrix of 11a_43
-1 -1 -1 -1 -1 -1
0 -2 -1 -1 -1 -2
0 -1 -2 -1 -2 -1
0 -1 -1 -2 -1 -1
0 -1 -1 -1 -2 -1
0 -1 -1 -1 -1 -2
2
135
First homology
of the double branched cover of 11a_43
Z/45+Z/3
-6 6
11a_44
2

detected by
the Nakanishi index
-1+5t-14t^2+24t^3-29t^4+24t^5-14t^6+5t^7-t^8
Seifert matrix of 11a_44
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 0 1 0
-1 -1 1 1 1 1 1 0
0 0 0 0 1 0 0 0
-1 -1 1 0 1 1 1 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 -1 -1
2
117
First homology
of the double branched cover of 11a_44
Z/39+Z/3
0 0
11a_45
2

detected by
the Lickorish test
-6+22t-31t^2+22t^3-6t^4
Seifert matrix of 11a_45
-1 0 -1 -1
0 2 0 1
0 0 -2 -1
0 0 -1 -2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
-3t^-2+10t^-1-14+10t-3t^2
87
First homology
of the double branched cover of 11a_45
Z/87
-2 2
11a_46
1

detected by
an unknotting move
2-9t+20t^2-25t^3+20t^4-9t^5+2t^6
Seifert matrix of 11a_46
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 1 0 0 0
1 1 -1 2 -1 0
0 0 0 0 -1 0
0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,-1,0,1-t)
the Blanchfield form on it
2t^-2-6t^-1+9-6t+2t^2
87
First homology
of the double branched cover of 11a_46
Z/87
-2 2
11a_47
2

detected by
the Nakanishi index
-1+5t-14t^2+24t^3-29t^4+24t^5-14t^6+5t^7-t^8
Seifert matrix of 11a_47
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 0 1 0 0
-1 -1 1 1 0 1 0 1
0 0 -1 -1 -1 0 0 -1
0 0 0 0 0 1 0 0
0 0 -1 -1 -1 0 -1 -1
-1 -1 1 0 0 1 0 1
2
117
First homology
of the double branched cover of 11a_47
Z/39+Z/3
0 0
11a_48
2

detected by
the signature
-2+12t-26t^2+33t^3-26t^4+12t^5-2t^6
Seifert matrix of 11a_48
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 0 1 0 1 0
0 0 0 1 0 0
0 0 0 0 1 0
1 0 -1 1 -1 2
1 or 2
113
First homology
of the double branched cover of 11a_48
Z/113
4 4
11a_49
2

detected by
the signature
-3+13t-23t^2+27t^3-23t^4+13t^5-3t^6
Seifert matrix of 11a_49
1 0 0 0 0 0
1 -2 -1 -1 -2 -1
1 -1 -2 0 -1 0
0 0 0 -1 0 -1
1 -1 -1 -1 -2 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,t,0,1+t+t^2,0)
the Blanchfield form on it
-6t^-2+17t^-1-16+17t-6t^2
105
First homology
of the double branched cover of 11a_49
Z/105
-4 4
11a_50
1

detected by
an unknotting move
-5+21t-31t^2+21t^3-5t^4
Seifert matrix of 11a_50
1 0 0 0
1 -2 1 0
-1 1 -3 0
0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-2t^-1+5-2t
83
First homology
of the double branched cover of 11a_50
Z/83
-2 2
11a_51
1

detected by
an unknotting move
1-9t+28t^2-39t^3+28t^4-9t^5+t^6
Seifert matrix of 11a_51
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 0 1 1 1 0
0 0 0 1 0 0
0 0 0 0 -1 0
0 0 0 0 1 1
1
Generator of the Alexander module
(0,0,1,0,0,3-t)
the Blanchfield form on it
t^-2-5t^-1+7-5t+t^2
115
First homology
of the double branched cover of 11a_51
Z/115
2 2
11a_52
1

detected by
an unknotting move
-2+13t-32t^2+43t^3-32t^4+13t^5-2t^6
Seifert matrix of 11a_52
-1 -1 0 0 0 0
0 1 0 0 0 0
0 0 -1 0 -1 0
-1 0 0 1 1 1
1 1 0 0 -2 0
0 0 0 0 1 1
1
Generator of the Alexander module
(0,0,0,4-4t+t^2,0,1)
the Blanchfield form on it
-2t^-1+3-2t
137
First homology
of the double branched cover of 11a_52
Z/137
0 0
11a_53
2

detected by
the signature
-1+6t-14t^2+18t^3-19t^4+18t^5-14t^6+6t^7-t^8
Seifert matrix of 11a_53
1 0 0 0 0 0 0 0
-1 -1 -1 0 0 -1 0 -1
0 0 1 1 1 0 1 1
0 0 0 1 0 0 0 0
0 0 0 1 1 0 1 0
-1 0 -1 0 0 -1 0 0
0 0 0 1 0 0 1 0
0 0 0 1 1 0 1 1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+t^-1-1+t-t^2
97
First homology
of the double branched cover of 11a_53
Z/97
4 4
11a_54
1

detected by
an unknotting move
2-13t+33t^2-43t^3+33t^4-13t^5+2t^6
Seifert matrix of 11a_54
1 0 0 0 0 0
-1 -1 -1 -1 0 -1
0 0 1 0 0 1
-1 0 -1 -1 0 0
0 0 1 0 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,1,0,0,1-2t,0)
the Blanchfield form on it
t^-1-3+t
139
First homology
of the double branched cover of 11a_54
Z/139
2 2
11a_55
1

detected by
an unknotting move
1-5t+10t^2-13t^3+13t^4-13t^5+10t^6-5t^7+t^8
Seifert matrix of 11a_55
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 0 -1 0 0
-1 -1 1 1 0 -1 1 0
-1 -1 1 1 1 -1 1 1
0 0 0 0 0 -1 0 0
-1 -1 1 0 0 -1 1 0
-1 -1 1 1 0 -1 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-10t^-1+13-10t+5t^2-t^3
71
First homology
of the double branched cover of 11a_55
Z/71
2 2
11a_56
1

detected by
an unknotting move
-2+11t-25t^2+33t^3-25t^4+11t^5-2t^6
Seifert matrix of 11a_56
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 0 -1
1 1 -1 2 0 1
-1 -1 1 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-3+6t^-2-15t^-1+20-15t+6t^2-t^3
109
First homology
of the double branched cover of 11a_56
Z/109
0 0
11a_57
2

detected by
the Nakanishi index
1-5t+12t^2-20t^3+23t^4-20t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_57
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 -1 1 0
-1 -1 1 1 1 -1 1 1
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 1 0 1 0
-1 -1 1 0 1 -1 1 1
2
99
First homology
of the double branched cover of 11a_57
Z/33+Z/3
2 2
11a_58
1

detected by
an unknotting move
-2+9t-18t^2+23t^3-18t^4+9t^5-2t^6
Seifert matrix of 11a_58
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 1 0 0 1
0 0 0 -1 0 0
1 1 1 1 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,-1,0,0,1,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
81
First homology
of the double branched cover of 11a_58
Z/81
0 0
11a_59
1

detected by
an unknotting move
-3+11t-15t^2+11t^3-3t^4
Seifert matrix of 11a_59
-1 0 0 0
-1 -1 0 0
-1 -1 3 -1
0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-t^-2+3t^-1-4+3t-t^2
43
First homology
of the double branched cover of 11a_59
Z/43
-2 2
11a_60
2

detected by
the signature
-3+12t-18t^2+19t^3-18t^4+12t^5-3t^6
Seifert matrix of 11a_60
1 0 0 0 0 0
1 -2 -2 -1 -2 -2
1 -1 -2 -1 -1 -2
1 -1 -1 -2 -1 -1
1 -1 -2 -1 -2 -2
1 -1 -1 -1 -1 -2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-3t^-2+12t^-1-17+12t-3t^2
85
First homology
of the double branched cover of 11a_60
Z/85
-4 4
11a_61
1

detected by
an unknotting move
-6+26t-39t^2+26t^3-6t^4
Seifert matrix of 11a_61
1 0 0 0
1 -2 2 -1
-1 1 -3 1
1 -1 1 -2
1
Generator of the Alexander module
(0,t,1,-t)
the Blanchfield form on it
-3t^-1+8-3t
103
First homology
of the double branched cover of 11a_61
Z/103
-2 2
11a_62
3

detected by
the signature
-1+5t-8t^2+9t^3-9t^4+9t^5-8t^6+5t^7-t^8
Seifert matrix of 11a_62
-1 -1 0 0 0 0 0 0
0 1 0 0 0 0 0 0
-1 0 1 0 0 1 0 0
-1 0 1 1 0 1 1 0
-1 0 1 1 1 1 1 1
0 0 0 0 0 1 0 0
-1 0 1 0 0 1 1 0
-1 0 1 1 0 1 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+8t^-1-9+8t-5t^2+t^3
55
First homology
of the double branched cover of 11a_62
Z/55
6 6
11a_63
2

detected by
the signature
-2+11t-21t^2+25t^3-21t^4+11t^5-2t^6
Seifert matrix of 11a_63
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 0 1 0 0 1
1 0 -1 2 0 -1
-1 0 1 -1 1 1
0 0 0 0 0 1
1 or 2
93
First homology
of the double branched cover of 11a_63
Z/93
4 4
11a_64
2

detected by
the signature
-2+11t-22t^2+27t^3-22t^4+11t^5-2t^6
Seifert matrix of 11a_64
-1 -1 0 0 0 0
0 1 0 0 0 0
0 0 1 0 0 1
0 0 0 1 0 0
1 0 1 -1 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,t,0,1+t,0)
the Blanchfield form on it
2t^-2-10t^-1+15-10t+2t^2
97
First homology
of the double branched cover of 11a_64
Z/97
4 4
11a_65
1

detected by
an unknotting move
-3+15t-23t^2+15t^3-3t^4
Seifert matrix of 11a_65
-1 -1 0 0
0 1 0 0
-1 0 3 1
0 0 0 1
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
t^-1-3+t
59
First homology
of the double branched cover of 11a_65
Z/59
2 2
11a_66
2

detected by
the Lickorish test
-1+6t-15t^2+24t^3-27t^4+24t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_66
-1 -1 0 0 0 0 0 0
0 1 0 0 0 0 0 0
-1 -1 -1 0 0 0 0 0
-1 0 -1 1 0 -1 1 0
-1 0 -1 1 1 -1 1 1
-1 -1 -1 0 0 -1 0 0
0 0 -1 0 0 -1 1 0
-1 0 -1 1 0 -1 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-6t^-2+14t^-1-19+14t-6t^2+t^3
119
First homology
of the double branched cover of 11a_66
Z/119
2 2
11a_67
1

detected by
an unknotting move
-2+12t-29t^2+39t^3-29t^4+12t^5-2t^6
Seifert matrix of 11a_67
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 -1 -1 0 0 0
-1 -1 -1 -1 0 0
0 0 -1 -1 1 0
1 0 1 1 -1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+6t^-2-15t^-1+20-15t+6t^2-t^3
125
First homology
of the double branched cover of 11a_67
Z/125
0 0
11a_68
1

detected by
an unknotting move
-1+6t-14t^2+20t^3-21t^4+20t^5-14t^6+6t^7-t^8
Seifert matrix of 11a_68
-1 -1 0 0 0 0 0 0
0 1 0 0 0 0 0 0
-1 -1 -1 -1 0 0 -1 0
-1 -1 0 -1 0 0 0 0
-1 0 -1 -1 1 -1 -1 1
-1 -1 -1 -1 0 -1 -1 0
-1 -1 0 -1 0 0 -1 0
0 0 -1 -1 0 -1 -1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
-t^-2+t^-1-1+t-t^2
103
First homology
of the double branched cover of 11a_68
Z/103
-2 2
11a_69
1

detected by
an unknotting move
-2+13t-33t^2+45t^3-33t^4+13t^5-2t^6
Seifert matrix of 11a_69
-1 -1 0 0 0 0
0 1 0 0 0 0
1 1 -2 1 0 0
-1 -1 0 -1 0 0
-1 0 1 -1 1 1
0 0 1 -1 0 1
1
Generator of the Alexander module
(0,t,1+3t^2,-t-t^2,-3t^2-t^3,t-t^2-t^3)
the Blanchfield form on it
-t^-3+8t^-2-24t^-1+34-24t+8t^2-t^3
141
First homology
of the double branched cover of 11a_69
Z/141
0 0
11a_70
1

detected by
an unknotting move
2-14t+36t^2-47t^3+36t^4-14t^5+2t^6
Seifert matrix of 11a_70
1 0 0 0 0 0
-1 -1 0 -1 1 1
0 0 -1 1 -1 -1
0 0 0 1 0 0
1 0 0 1 -2 -2
1 0 0 1 -1 -2
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
1
151
First homology
of the double branched cover of 11a_70
Z/151
-2 2
11a_71
1

detected by
an unknotting move
-1+6t-18t^2+34t^3-41t^4+34t^5-18t^6+6t^7-t^8
Seifert matrix of 11a_71
-1 0 0 0 0 0 0 0
0 -1 0 0 -1 -1 0 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 1 1 0 1 0
0 0 0 0 1 0 0 0
0 0 0 0 -1 -1 -1 -1
0 0 0 0 1 0 1 0
0 0 0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,t,-1,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
159
First homology
of the double branched cover of 11a_71
Z/159
-2 2
11a_72
1

detected by
an unknotting move
1-6t+18t^2-32t^3+39t^4-32t^5+18t^6-6t^7+t^8
Seifert matrix of 11a_72
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 1 1 0 1 1
0 0 0 0 1 1 1 0
0 0 0 0 0 -1 0 0
0 1 0 0 0 1 1 0
0 0 0 0 1 1 1 1
1
Generator of the Alexander module
(0,0,t,1+t,0,0,0,0)
the Blanchfield form on it
t^-3-4t^-2+8t^-1-9+8t-4t^2+t^3
153
First homology
of the double branched cover of 11a_72
Z/153
0 0
11a_73
1

detected by
an unknotting move
1-7t+21t^2-37t^3+45t^4-37t^5+21t^6-7t^7+t^8
Seifert matrix of 11a_73
-1 0 -1 -1 -1 0 -1 0
0 1 0 0 0 0 -1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 -1 -1 -1 0 0 0
0 1 -1 0 -1 1 -1 1
0 0 -1 -1 -1 0 -1 0
0 1 0 0 -1 0 -1 1
1
Generator of the Alexander module
(-1-t-2t^2+4t^4-t^5+2t^7,0,1+3t+t^2+3t^3+t^4-4t^5+t^6-2t^8,2t-4t^3+t^4-2t^6,0,-2t^2-4t^3+4t^4-t^5-2t^6+2t^7,0,-4t^2-2t^3+2t^4-6t^5+3t^6+t^7-2t^8+2t^9)
the Blanchfield form on it
x
177
First homology
of the double branched cover of 11a_73
Z/177
0 2
11a_74
2

detected by
the signature
1-5t+10t^2-13t^3+15t^4-13t^5+10t^6-5t^7+t^8
Seifert matrix of 11a_74
1 0 0 0 0 0 0 0
-1 -1 -1 0 -1 -1 -1 -1
-1 0 -1 0 0 -1 -1 -1
0 0 0 1 0 0 0 0
-1 0 -1 0 -1 -1 -1 -1
-1 0 0 -1 0 -1 -1 -1
-1 0 0 -1 0 0 -1 0
-1 0 0 -1 0 0 -1 -1
1
Generator of the Alexander module
(-1,0,0,0,0,0,1,0)
the Blanchfield form on it
5t^-3-17t^-2+26t^-1-29+26t-17t^2+5t^3
73
First homology
of the double branched cover of 11a_74
Z/73
-4 4
11a_75
1

detected by
an unknotting move
2-10t+19t^2-21t^3+19t^4-10t^5+2t^6
Seifert matrix of 11a_75
1 0 0 0 0 0
-1 -1 -1 0 -1 1
-1 0 -1 0 0 1
0 0 0 1 0 0
-1 0 -1 0 -1 1
1 0 0 1 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,1)
the Blanchfield form on it
t^-2-3t^-1+3-3t+t^2
83
First homology
of the double branched cover of 11a_75
Z/83
-2 2
11a_76
2

detected by
the Lickorish test
1-6t+17t^2-30t^3+37t^4-30t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_76
1 0 0 0 0 0 0 0
-1 -1 0 0 -1 0 -1 -1
0 0 1 0 0 0 0 0
0 0 1 1 0 1 0 0
-1 0 -1 -1 -1 -1 -1 -1
0 0 1 0 0 1 0 0
-1 0 0 -1 0 0 -1 0
-1 0 0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,0,1,0)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-13+11t-5t^2+t^3
145
First homology
of the double branched cover of 11a_76
Z/145
0 0
11a_77
1

detected by
an unknotting move
2-12t+31t^2-41t^3+31t^4-12t^5+2t^6
Seifert matrix of 11a_77
1 0 0 0 0 0
-1 -1 0 0 -1 0
0 0 1 0 0 0
0 0 0 1 0 0
-1 0 -1 0 -1 1
0 0 -1 1 0 2
1
Generator of the Alexander module
(-10+28t+10t^2-6t^3,-4t+26t^2+10t^3-6t^4,6+10t-4t^2,-3-5t+2t^2,-5+14t+5t^2-3t^3,12t^2-4t^3)
the Blanchfield form on it
4454t^-2-9088t^-1+11025-9088t+4454t^2
131
First homology
of the double branched cover of 11a_77
Z/131
2 2
11a_78
1

detected by
an unknotting move
2-12t+29t^2-37t^3+29t^4-12t^5+2t^6
Seifert matrix of 11a_78
1 0 0 0 0 0
-1 -1 0 0 -1 1
0 0 1 0 0 0
0 0 0 -1 0 -1
-1 0 -1 0 -1 1
1 0 0 0 0 -2
1
Generator of the Alexander module
(1+5t-4t^3,1+t-2t^2-3t^3,0,1+3t-2t^3,2+t+6t^2-8t^4,-1-t)
the Blanchfield form on it
-169t^-2+396t^-1-561+396t-169t^2
123
First homology
of the double branched cover of 11a_78
Z/123
-2 2
11a_79
1

detected by
an unknotting move
-1+6t-17t^2+30t^3-35t^4+30t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_79
-1 0 -1 -1 0 0 -1 0
0 1 0 0 0 0 -1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 1 0 0 1 0 -1 0
0 1 -1 0 1 1 -1 1
0 0 -1 -1 0 0 -1 0
0 1 -1 0 1 0 -1 1
1
Generator of the Alexander module
(0,t,1,0,-t,0,0,0)
the Blanchfield form on it
t^-3-3t^-2+4t^-1-7+4t-3t^2+t^3
143
First homology
of the double branched cover of 11a_79
Z/143
2 2
11a_80
1

detected by
an unknotting move
1-6t+16t^2-28t^3+35t^4-28t^5+16t^6-6t^7+t^8
Seifert matrix of 11a_80
1 0 0 0 0 0 0 0
-1 -1 0 -1 -1 0 -1 0
0 0 1 0 0 0 0 0
-1 0 0 -1 0 0 0 0
-1 0 -1 -1 -1 -1 -1 -1
0 0 1 0 0 1 0 0
-1 0 0 -1 0 -1 -1 -1
0 0 1 0 0 1 0 1
1
Generator of the Alexander module
(0,2t-14t^2-8t^3-8t^4-6t^5,-1+11t-16t^2-64t^3-73t^4-60t^5-40t^6-12t^7,1-7t-8t^2+24t^3+13t^4+16t^5+12t^6,-1+13t-16t^2-37t^3-111t^4-91t^5-70t^6-41t^7-6t^8,0,-12t+17t^2-6t^3-93t^4-72t^5-69t^6-47t^7-6t^8,4-15t+14t^2+38t^3+39t^4+65t^5+39t^6+22t^7+12t^8)
the Blanchfield form on it
x
137
First homology
of the double branched cover of 11a_80
Z/137
0 0
11a_81
1

detected by
an unknotting move
-1+6t-16t^2+26t^3-29t^4+26t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_81
-1 0 -1 -1 -1 0 -1 -1
0 1 0 0 0 0 -1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 -1 -1 -1 0 0 -1
0 1 0 0 -1 1 -1 -1
0 0 -1 -1 -1 0 -1 -1
0 0 -1 -1 0 0 0 -1
1
Generator of the Alexander module
(0,0,1-t^2+t^3,0,-1,-t+2t^2-t^3,t,-1)
the Blanchfield form on it
-t^-3+5t^-2-11t^-1+15-11t+5t^2-t^3
127
First homology
of the double branched cover of 11a_81
Z/127
-2 2
11a_82
1

detected by
an unknotting move
-1+5t-12t^2+19t^3-21t^4+19t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_82
-1 0 0 0 0 0 0 0
0 -1 0 0 -1 -1 -1 0
-1 0 -1 0 0 0 0 0
-1 0 -1 1 1 1 1 1
0 0 0 0 1 0 0 0
0 0 0 0 1 1 1 0
0 0 0 0 1 0 1 0
0 0 0 0 1 1 1 1
1
Generator of the Alexander module
(0,-t,1,2,1,1,1,0)
the Blanchfield form on it
t^-3-3t^-2+5t^-1-6+5t-3t^2+t^3
95
First homology
of the double branched cover of 11a_82
Z/95
2 2
11a_83
2

detected by
the signature
1-5t+14t^2-23t^3+27t^4-23t^5+14t^6-5t^7+t^8
Seifert matrix of 11a_83
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 0 0 1
0 -1 0 0 -1 -1 0 0
0 0 0 0 0 -1 0 0
0 -1 0 0 -1 -1 -1 0
0 1 0 0 0 1 0 1
1
Generator of the Alexander module
(0,0,1,2,1,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-4+3t-t^2
113
First homology
of the double branched cover of 11a_83
Z/113
-4 4
11a_84
1

detected by
an unknotting move
-2+10t-23t^2+31t^3-23t^4+10t^5-2t^6
Seifert matrix of 11a_84
-1 0 0 0 0 0
0 -1 0 0 1 0
-1 0 -1 0 0 0
-1 0 -1 1 -1 1
0 0 0 0 2 0
0 0 0 0 -1 1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
101
First homology
of the double branched cover of 11a_84
Z/101
0 0
11a_85
1

detected by
an unknotting move
2-10t+25t^2-33t^3+25t^4-10t^5+2t^6
Seifert matrix of 11a_85
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 0 0 1
0 0 0 -2 0 0
0 0 0 -1 -1 0
0 0 0 -1 0 1
1
Generator of the Alexander module
(0,t,1+t,0,0,0)
the Blanchfield form on it
2t^-2-6t^-1+9-6t+2t^2
107
First homology
of the double branched cover of 11a_85
Z/107
-2 2
11a_86
1

detected by
an unknotting move
-1+5t-12t^2+18t^3-19t^4+18t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_86
-1 -1 -1 -1 -1 -1 0 0
0 -1 -1 -1 0 -1 0 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 -1 -1 -1 -1 -1 0 0
0 0 -1 -1 0 -1 0 0
0 -1 -1 0 -1 -1 1 1
0 0 0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1+t,0,1+2t,0)
the Blanchfield form on it
-t^-3+3t^-2-5t^-1+5-5t+3t^2-t^3
91
First homology
of the double branched cover of 11a_86
Z/91
-2 2
11a_87
2

detected by
-2+11t-28t^2+39t^3-28t^4+11t^5-2t^6
Seifert matrix of 11a_87
-1 1 -1 -1 0 0
0 -2 1 1 0 0
0 0 -1 -1 0 0
0 0 0 1 0 0
0 1 -1 0 1 1
0 0 0 0 0 1
2
121
First homology
of the double branched cover of 11a_87
Z/121
0 0
11a_88
1

detected by
an unknotting move
1-5t+12t^2-20t^3+25t^4-20t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_88
1 0 0 0 0 0 0 0
-1 -1 0 0 -1 -1 0 -1
0 0 1 0 0 0 0 0
0 0 1 1 0 0 1 0
-1 0 -1 -1 -1 -1 -1 -1
-1 0 -1 -1 0 -1 -1 0
0 0 1 0 0 0 1 0
-1 0 -1 -1 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,0,t^2,0,-1-t-t^4,0,0)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
101
First homology
of the double branched cover of 11a_88
Z/101
0 0
11a_89
2

detected by
the Lickorish test
2-12t+28t^2-35t^3+28t^4-12t^5+2t^6
Seifert matrix of 11a_89
1 0 0 0 0 0
-1 -1 0 0 0 1
0 0 -1 0 -1 -1
0 0 0 1 0 0
0 0 0 -1 -1 -1
1 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,-1,1,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
119
First homology
of the double branched cover of 11a_89
Z/119
-2 2
11a_90
2

detected by
the Lickorish test
2-10t+20t^2-23t^3+20t^4-10t^5+2t^6
Seifert matrix of 11a_90
1 0 0 0 0 0
-1 -1 0 0 0 1
0 0 1 0 0 0
0 0 1 1 1 0
0 0 1 0 1 0
1 0 1 1 1 -2
1
Generator of the Alexander module
(0,0,0,t,0,1+t)
the Blanchfield form on it
-2t^-2+10t^-1-17+10t-2t^2
87
First homology
of the double branched cover of 11a_90
Z/87
2 2
11a_91
1

detected by
an unknotting move
-2+12t-30t^2+41t^3-30t^4+12t^5-2t^6
Seifert matrix of 11a_91
1 0 0 0 0 0
-1 -1 0 0 0 1
0 0 -1 0 0 -1
0 0 -1 1 1 -1
0 0 0 0 1 0
1 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,1,2,0,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
129
First homology
of the double branched cover of 11a_91
Z/129
0 0
11a_92
1

detected by
an unknotting move
-1+5t-12t^2+21t^3-25t^4+21t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_92
-1 0 -1 -1 0 0 0 -1
0 1 0 0 1 0 1 -1
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 1 0 1 0
0 1 0 0 1 1 1 -1
0 0 0 0 0 0 1 0
0 0 -1 -1 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1-t-t^3,0,-1-t^2)
the Blanchfield form on it
t^-3-4t^-2+8t^-1-12+8t-4t^2+t^3
103
First homology
of the double branched cover of 11a_92
Z/103
2 2
11a_93
1

detected by
an unknotting move
-2+10t-21t^2+27t^3-21t^4+10t^5-2t^6
Seifert matrix of 11a_93
-1 -1 -1 0 0 -1
0 -1 -1 0 0 0
0 0 1 0 0 0
0 0 0 2 1 1
0 0 0 0 1 0
0 -1 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,1,1,0)
the Blanchfield form on it
t^-2-3t^-1+3-3t+t^2
93
First homology
of the double branched cover of 11a_93
Z/93
0 2
11a_94
3

detected by
the signature
4-13t+23t^2-27t^3+23t^4-13t^5+4t^6
Seifert matrix of 11a_94
-1 0 -1 0 0 0
0 -1 0 0 -1 0
0 0 -2 0 0 0
0 0 0 -1 -1 0
0 0 1 0 -2 0
0 0 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
4t^-2-11t^-1+15-11t+4t^2
107
First homology
of the double branched cover of 11a_94
Z/107
-6 6
11a_95
2

detected by
the signature
6-18t+25t^2-18t^3+6t^4
Seifert matrix of 11a_95
-1 0 -1 0
0 -1 0 1
0 0 -2 0
0 0 -1 -3
1
Generator of the Alexander module
(0,t,0,1)
the Blanchfield form on it
2t^-1-3+2t
73
First homology
of the double branched cover of 11a_95
Z/73
-4 4
11a_96
1

detected by
an unknotting move
-1+9t-29t^2+43t^3-29t^4+9t^5-t^6
Seifert matrix of 11a_96
1 0 0 0 0 0
-1 -1 0 0 -1 0
0 0 1 0 0 0
0 0 0 1 0 0
-1 0 0 -1 -1 0
0 0 1 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
2t^-2-9t^-1+15-9t+2t^2
121
First homology
of the double branched cover of 11a_96
Z/121
0 0
11a_97
2

detected by
2-9t+16t^2-17t^3+16t^4-9t^5+2t^6
Seifert matrix of 11a_97
1 0 0 0 0 0
-1 -1 -1 -1 0 -1
-1 0 -1 -1 1 -1
-1 0 0 -1 1 0
0 0 0 0 2 0
-1 0 0 -1 1 -1
2
71
First homology
of the double branched cover of 11a_97
Z/71
-2 2
11a_98
1

detected by
an unknotting move
4-19t+31t^2-19t^3+4t^4
Seifert matrix of 11a_98
1 0 0 0
-1 -1 0 1
0 0 2 0
1 0 -1 -2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
1
77
First homology
of the double branched cover of 11a_98
Z/77
0 0
11a_99
2

detected by
the Lickorish test
-1+6t-17t^2+28t^3-31t^4+28t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_99
-1 -1 -1 -1 -1 0 -1 0
0 -1 -1 -1 -1 0 0 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 -1 -1 -1 0 0 0
0 -1 -1 0 -1 1 -1 1
0 -1 -1 -1 -1 0 -1 0
0 -1 0 0 0 0 -1 1
1
Generator of the Alexander module
(1,0,-1-t,0,0,t-t^2,0,0)
the Blanchfield form on it
t^-3-4t^-2+6t^-1-6+6t-4t^2+t^3
135
First homology
of the double branched cover of 11a_99
Z/135
-2 2
11a_100
2

detected by
the signature
-3+15t-32t^2+41t^3-32t^4+15t^5-3t^6
Seifert matrix of 11a_100
1 0 0 0 0 0
-1 -1 0 0 1 1
0 0 -1 0 0 -1
0 0 0 -1 -1 0
1 0 0 0 -2 -1
1 0 0 0 -1 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-2t^-2+8t^-1-11+8t-2t^2
141
First homology
of the double branched cover of 11a_100
Z/141
-4 4
11a_101
1

detected by
an unknotting move
3-16t+39t^2-51t^3+39t^4-16t^5+3t^6
Seifert matrix of 11a_101
-1 0 -1 -1 0 -1
0 1 0 -1 0 -1
0 0 -2 -1 0 -1
0 0 -2 -2 0 -1
0 1 -1 -1 1 -1
0 0 -1 -1 0 -2
1
Generator of the Alexander module
(1,0,0,0,1,0)
the Blanchfield form on it
-3t^-2+10t^-1-14+10t-3t^2
167
First homology
of the double branched cover of 11a_101
Z/167
-2 2
11a_102
2

detected by
the Lickorish test
2-11t+23t^2-27t^3+23t^4-11t^5+2t^6
Seifert matrix of 11a_102
1 0 0 0 0 0
0 1 0 0 0 0
1 0 -2 1 1 1
-1 -1 0 -1 -1 -1
-1 -1 0 0 -1 0
-1 -1 0 0 -1 -1
1 or 2
99
First homology
of the double branched cover of 11a_102
Z/99
-2 2
11a_103
1

detected by
an unknotting move
4-20t+33t^2-20t^3+4t^4
Seifert matrix of 11a_103
1 0 0 0
0 1 0 0
1 0 -2 -1
1 1 0 -2
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-2t^-2+10t^-1-16+10t-2t^2
81
First homology
of the double branched cover of 11a_103
Z/81
0 0
11a_104
1

detected by
an unknotting move
-2+12t-29t^2+39t^3-29t^4+12t^5-2t^6
Seifert matrix of 11a_104
-1 0 -1 0 0 1
0 -1 0 0 0 -1
0 0 1 0 0 0
-1 0 0 1 1 0
0 0 0 0 1 0
0 0 1 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,1,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
125
First homology
of the double branched cover of 11a_104
Z/125
0 0
11a_105
2

detected by
the signature
-3+13t-24t^2+29t^3-24t^4+13t^5-3t^6
Seifert matrix of 11a_105
-1 0 -1 0 0 -1
0 -1 -1 0 0 0
0 0 -2 0 0 -1
0 -1 -1 -1 0 0
0 0 0 0 1 -1
0 0 -1 0 0 -2
1
Generator of the Alexander module
(1,0,0,1,0,0)
the Blanchfield form on it
-6t^-2+23t^-1-32+23t-6t^2
109
First homology
of the double branched cover of 11a_105
Z/109
-4 4
11a_106
1

detected by
an unknotting move
1-5t+12t^2-18t^3+21t^4-18t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_106
-1 0 0 0 0 0 0 0
0 1 0 0 1 0 0 0
-1 0 -1 0 0 0 0 0
-1 1 -1 1 1 1 1 0
0 0 0 0 1 0 0 0
0 1 0 0 1 1 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,-1,0,0,0,0,0,1)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
93
First homology
of the double branched cover of 11a_106
Z/93
0 2
11a_107
2

detected by
the Lickorish test
2-11t+26t^2-33t^3+26t^4-11t^5+2t^6
Seifert matrix of 11a_107
-1 0 0 0 0 0
0 2 0 0 0 0
-1 0 -1 0 0 0
-1 -1 -1 1 1 0
0 0 0 0 -1 0
0 0 0 0 -1 -1
2
111
First homology
of the double branched cover of 11a_107
Z/111
-2 2
11a_108
1

detected by
an unknotting move
-1+5t-12t^2+20t^3-23t^4+20t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_108
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 1 1 0
-1 0 -1 1 1 1 1 1
0 0 0 0 0 1 0 0
0 0 0 0 0 1 1 0
-1 0 -1 1 0 1 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-15+11t-5t^2+t^3
99
First homology
of the double branched cover of 11a_108
Z/99
2 2
11a_109
1

detected by
an unknotting move
1-5t+14t^2-24t^3+29t^4-24t^5+14t^6-5t^7+t^8
Seifert matrix of 11a_109
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 0 1 0
-1 0 -1 1 1 0 1 1
0 0 0 0 0 -1 0 0
0 1 0 0 0 1 1 0
-1 0 -1 1 0 0 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-13t^-1+17-13t+5t^2-t^3
117
First homology
of the double branched cover of 11a_109
Z/117
0 0
11a_110
1

detected by
an unknotting move
-2+10t-22t^2+29t^3-22t^4+10t^5-2t^6
Seifert matrix of 11a_110
-1 0 0 0 0 0
0 -1 0 -1 0 0
-1 0 -1 0 0 0
0 0 0 1 0 0
0 0 0 1 1 0
1 0 1 -1 -1 2
1
Generator of the Alexander module
(0,0,-t,0,0,1+t)
the Blanchfield form on it
-2t^-2+7t^-1-9+7t-2t^2
97
First homology
of the double branched cover of 11a_110
Z/97
0 0
11a_111
1

detected by
an unknotting move
2-10t+24t^2-31t^3+24t^4-10t^5+2t^6
Seifert matrix of 11a_111
-1 0 0 0 0 0
0 -1 0 -1 0 0
-1 0 -1 0 0 0
0 0 0 -1 0 0
0 1 0 1 1 0
1 0 1 0 -1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-14+11t-5t^2+t^3
103
First homology
of the double branched cover of 11a_111
Z/103
-2 2
11a_112
1

detected by
an unknotting move
-1+6t-15t^2+25t^3-31t^4+25t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_112
1 0 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 -1 -1
-1 0 -1 -1 0 0 -1 -1
0 0 0 1 1 0 0 1
0 0 0 0 1 0 0 0
-1 0 -1 -1 0 -1 -1 -1
-1 0 0 -1 0 0 -1 0
0 0 0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,0,0,0,1,0)
the Blanchfield form on it
t^-2-3t^-1+3-3t+t^2
125
First homology
of the double branched cover of 11a_112
Z/125
0 0
11a_113
2

detected by
the signature
-1+6t-15t^2+21t^3-23t^4+21t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_113
1 0 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 -1 -1
0 0 1 0 1 0 0 1
0 0 1 1 1 0 1 1
0 0 0 0 1 0 0 0
-1 0 -1 -1 0 -1 -1 0
0 0 1 0 1 0 1 1
0 0 0 0 1 0 0 1
1 or 2
109
First homology
of the double branched cover of 11a_113
Z/109
4 4
11a_114
1

detected by
an unknotting move
3-15t+35t^2-45t^3+35t^4-15t^5+3t^6
Seifert matrix of 11a_114
-1 0 -1 -1 0 -1
0 1 0 -1 0 -1
0 0 -2 -1 0 -2
0 0 -1 -2 0 -1
0 1 0 -1 1 -1
0 0 -1 -1 0 -2
1
Generator of the Alexander module
(2t,0,0,-1,2,0)
the Blanchfield form on it
-t^-1+2-t
151
First homology
of the double branched cover of 11a_114
Z/151
-2 2
11a_115
1

detected by
an unknotting move
-3+13t-27t^2+35t^3-27t^4+13t^5-3t^6
Seifert matrix of 11a_115
-1 0 -1 0 0 -1
0 1 -1 1 0 -1
0 0 -2 0 0 -1
0 0 0 1 0 -1
0 1 -1 1 1 -1
0 0 -1 0 0 -2
1 or 2
121
First homology
of the double branched cover of 11a_115
Z/121
0 0
11a_116
2

detected by
the signature
-3+15t-31t^2+39t^3-31t^4+15t^5-3t^6
Seifert matrix of 11a_116
-1 -1 -1 -1 0 -1
0 -2 -2 -1 0 -1
0 -1 -2 -1 0 -1
0 -2 -2 -2 0 -1
0 -1 0 -1 1 -1
0 -1 -1 -1 0 -2
1
Generator of the Alexander module
(-t^2-4t^3+6t^4-t^5-4t^6+2t^7,-t^2-2t^3+4t^4-t^5-2t^6+t^7,-3-7t+12t^2-t^3-7t^4+3t^5,-3-8t+12t^2+t^3-8t^4+3t^5,-1-2t+4t^2-t^3-2t^4+t^5,-2t^2-4t^3+8t^4-2t^5-4t^6+2t^7)
the Blanchfield form on it
x
137
First homology
of the double branched cover of 11a_116
Z/137
-4 4
11a_117
2

detected by
the signature
-2+12t-27t^2+35t^3-27t^4+12t^5-2t^6
Seifert matrix of 11a_117
-1 0 0 0 0 0
0 -1 0 0 0 -1
-1 0 -1 0 0 0
-1 0 -1 1 -1 0
0 0 0 0 -1 0
0 0 0 0 1 -2
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
-t^-2+5t^-1-7+5t-t^2
117
First homology
of the double branched cover of 11a_117
Z/117
-4 4
11a_118
2

detected by
the Lickorish test
2-10t+20t^2-23t^3+20t^4-10t^5+2t^6
Seifert matrix of 11a_118
1 0 0 0 0 0
0 -1 0 -1 -1 -1
1 -1 -2 -1 -1 -1
0 0 0 -1 0 -1
0 0 0 0 1 0
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-10t^-1+12-10t+5t^2-t^3
87
First homology
of the double branched cover of 11a_118
Z/87
-2 2
11a_119
1

detected by
an unknotting move
4-19t+31t^2-19t^3+4t^4
Seifert matrix of 11a_119
1 0 0 0
0 1 0 0
1 0 -2 0
0 -1 -1 -2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-2t^-2+9t^-1-14+9t-2t^2
77
First homology
of the double branched cover of 11a_119
Z/77
0 0
11a_120
2

detected by
the signature
-2+12t-25t^2+31t^3-25t^4+12t^5-2t^6
Seifert matrix of 11a_120
-1 -1 0 0 0 0
0 1 0 0 0 0
-1 0 1 1 -1 0
0 0 0 1 0 0
0 0 0 -1 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,-7+8t-8t^2+2t^3,24t-32t^2+32t^3-14t^4+2t^5,-10+16t-16t^2+10t^3-2t^4,7-18t+11t^2-8t^3+2t^4,3+2t-t^2)
the Blanchfield form on it
-2t^-2+4t^-1-5+4t-2t^2
109
First homology
of the double branched cover of 11a_120
Z/109
4 4
11a_121
1

detected by
an unknotting move
1-9t+29t^2-41t^3+29t^4-9t^5+t^6
Seifert matrix of 11a_121
1 0 0 0 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 0 1 1 0
0 0 0 0 1 0
-1 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-2t^-2+11t^-1-17+11t-2t^2
119
First homology
of the double branched cover of 11a_121
Z/119
2 2
11a_122
1

detected by
an unknotting move
2-12t+30t^2-39t^3+30t^4-12t^5+2t^6
Seifert matrix of 11a_122
1 0 0 0 0 0
-1 -1 0 -1 1 -1
0 0 1 0 0 0
-1 0 0 -1 1 0
0 0 -1 0 2 -1
0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,2t-t^2,-1+t,0)
the Blanchfield form on it
-2t^-2+8t^-1-11+8t-2t^2
127
First homology
of the double branched cover of 11a_122
Z/127
2 2
11a_123
3

detected by
the new u==2 criterion
9-29t+41t^2-29t^3+9t^4
Seifert matrix of 11a_123
-1 1 1 0
0 -3 -2 -1
0 -2 -3 0
0 -1 -1 -2
2
117
First homology
of the double branched cover of 11a_123
Z/39+Z/3
-4 4
11a_124
3

detected by
the signature
5-18t+34t^2-41t^3+34t^4-18t^5+5t^6
Seifert matrix of 11a_124
-1 0 -1 -1 -1 0
0 -1 0 0 0 -1
0 0 -2 -1 -2 -1
0 0 -1 -2 -1 0
0 0 -1 -1 -2 -1
0 0 0 1 0 -2
1 or 2
155
First homology
of the double branched cover of 11a_124
Z/155
-6 6
11a_125
2

detected by
the Lickorish test
-1+6t-19t^2+38t^3-47t^4+38t^5-19t^6+6t^7-t^8
Seifert matrix of 11a_125
-1 0 0 0 0 0 0 0
0 -1 0 0 -1 0 0 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 1 0 0
0 0 0 -1 -1 -1 -1 0
0 0 0 0 0 1 0 0
-1 0 -1 1 0 1 1 0
0 0 0 -1 -1 -1 0 -1
1
Generator of the Alexander module
(0,-2t^2+2t^3-t^4,0,-1,2t-2t^2+t^3,0,0,2t-2t^2+t^3)
the Blanchfield form on it
-t^-3+5t^-2-12t^-1+17-12t+5t^2-t^3
175
First homology
of the double branched cover of 11a_125
Z/175
-2 2
11a_126
2

detected by
the Lickorish test
1-5t+16t^2-31t^3+39t^4-31t^5+16t^6-5t^7+t^8
Seifert matrix of 11a_126
-1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 1 0 0
-1 0 -1 1 1 1 1 0
0 0 0 0 0 1 0 0
-1 0 -1 1 0 1 1 0
0 0 0 -1 0 -1 -1 -1
1
Generator of the Alexander module
(4+1008t+8229t^2-10426t^3+25894t^4-58677t^5+95235t^6-99024t^7+59742t^8-20583t^9+1350t^10,-3683-29891t+13190t^2-100609t^3+190095t^4-314028t^5+397118t^6-419952t^7+379077t^8-214416t^9+78426t^10-2700t^11,-1939-15386t+12890t^2-42939t^3+94043t^4-146510t^5+146888t^6-92947t^7+47490t^8-16341t^9+6894t^10,2794
the Blanchfield form on it
x
145
First homology
of the double branched cover of 11a_126
Z/145
0 0
11a_127
2

detected by
the signature
1-6t+17t^2-28t^3+33t^4-28t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_127
-1 0 0 0 0 0 0 0
0 -1 0 0 -1 0 -1 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 1 0 0
0 0 0 -1 -1 -1 0 0
0 0 0 0 0 1 0 0
0 0 0 -1 -1 -1 -1 0
0 0 0 0 -1 -1 -1 -1
1
Generator of the Alexander module
(0,1-t,0,1,-t+t^2,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+13t^-1-17+13t-5t^2+t^3
137
First homology
of the double branched cover of 11a_127
Z/137
-4 4
11a_128
1

detected by
an unknotting move
-1+9t-31t^2+47t^3-31t^4+9t^5-t^6
Seifert matrix of 11a_128
-1 -1 0 0 0 0
0 1 0 0 0 0
0 0 1 -1 0 0
-1 -1 0 -1 0 0
-1 0 0 0 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,3-t,0,1,0)
the Blanchfield form on it
-t^-2+6t^-1-12+6t-t^2
129
First homology
of the double branched cover of 11a_128
Z/129
0 0
11a_129
2

detected by
the signature
-1+6t-15t^2+22t^3-25t^4+22t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_129
1 0 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 -1 -1
0 0 1 0 1 0 1 0
0 0 1 1 1 0 1 1
0 0 0 0 1 0 0 0
-1 0 0 -1 0 -1 0 0
0 0 0 0 1 0 1 0
0 0 1 0 1 0 1 1
1
Generator of the Alexander module
(0,1-t^2,0,t^2,0,-t^2,0,0)
the Blanchfield form on it
t^-3-6t^-2+14t^-1-17+14t-6t^2+t^3
113
First homology
of the double branched cover of 11a_129
Z/113
4 4
11a_130
1

detected by
an unknotting move
2-12t+29t^2-37t^3+29t^4-12t^5+2t^6
Seifert matrix of 11a_130
1 0 0 0 0 0
-1 -1 1 -1 0 -1
0 0 2 0 -1 0
0 0 -1 1 1 0
0 0 0 0 1 0
-1 0 0 -1 0 -1
1 or 2
123
First homology
of the double branched cover of 11a_130
Z/123
2 2
11a_131
1

detected by
an unknotting move
1-6t+16t^2-27t^3+31t^4-27t^5+16t^6-6t^7+t^8
Seifert matrix of 11a_131
1 0 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 -1 -1
-1 0 -1 -1 0 0 -1 0
0 0 0 1 1 0 1 1
0 0 0 0 1 0 0 0
-1 0 -1 -1 0 -1 -1 -1
0 0 0 0 1 0 1 1
0 0 0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-t^-1+1-t
131
First homology
of the double branched cover of 11a_131
Z/131
2 2
11a_132
2

detected by
the Lickorish test
2-13t+32t^2-41t^3+32t^4-13t^5+2t^6
Seifert matrix of 11a_132
1 0 0 0 0 0
0 1 0 0 0 0
0 -1 -1 -1 0 -1
1 0 0 -2 1 0
-1 -1 0 0 -1 0
0 -1 0 -1 0 -1
2
135
First homology
of the double branched cover of 11a_132
Z/135
-2 2
11a_133
2

detected by
A(F_2)
-5+20t-29t^2+20t^3-5t^4
Seifert matrix of 11a_133
-1 1 0 -1
0 -3 0 1
0 0 1 -1
0 1 0 -2
2
79
First homology
of the double branched cover of 11a_133
Z/79
-2 2
11a_134
1

detected by
an unknotting move
3-13t+28t^2-35t^3+28t^4-13t^5+3t^6
Seifert matrix of 11a_134
-1 -1 -1 0 0 -1
0 -2 -1 0 0 -2
0 -1 -2 0 0 -1
0 0 1 1 1 0
0 0 0 0 1 0
0 -1 -1 0 0 -2
1
Generator of the Alexander module
(1-t,0,0,2-t,0,0)
the Blanchfield form on it
3t^-2-10t^-1+14-10t+3t^2
123
First homology
of the double branched cover of 11a_134
Z/123
-2 2
11a_135
2

detected by
the Nakanishi index
-2+13t-36t^2+51t^3-36t^4+13t^5-2t^6
Seifert matrix of 11a_135
1 0 0 0 0 0
0 -1 0 0 0 -1
1 -1 -2 0 -2 0
0 0 0 1 0 0
1 -1 -1 -1 -2 -1
0 0 0 1 0 1
2
153
First homology
of the double branched cover of 11a_135
Z/51+Z/3
0 0
11a_136
1

detected by
an unknotting move
2-14t+39t^2-53t^3+39t^4-14t^5+2t^6
Seifert matrix of 11a_136
1 0 0 0 0 0
-1 -1 0 -1 -1 -1
0 0 2 0 0 1
0 0 -1 1 0 0
-1 0 0 -1 -1 0
0 0 0 0 0 1
1
Generator of the Alexander module
(0,1-2t,1,t,2-2t,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
163
First homology
of the double branched cover of 11a_136
Z/163
2 2
11a_137
2

detected by
the Lickorish test
2-12t+26t^2-31t^3+26t^4-12t^5+2t^6
Seifert matrix of 11a_137
1 0 0 0 0 0
0 1 1 0 0 1
0 0 1 0 0 0
1 1 0 -2 1 1
-1 -1 0 0 -1 0
0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,3-2t,-1+5t-2t^2,0)
the Blanchfield form on it
19t^-4-159t^-3+535t^-2-990t^-1+1188-990t+535t^2-159t^3+19t^4
111
First homology
of the double branched cover of 11a_137
Z/111
2 2
11a_138
1

detected by
an unknotting move
-2+14t-38t^2+53t^3-38t^4+14t^5-2t^6
Seifert matrix of 11a_138
-1 0 0 0 -1 0
0 1 0 0 0 0
0 0 1 -1 1 1
0 -1 0 -1 1 0
0 1 0 0 -2 0
1 0 0 -1 1 1
1
Generator of the Alexander module
(0,0,1-2t,-2,0,0)
the Blanchfield form on it
t^-2-5t^-1+8-5t+t^2
161
First homology
of the double branched cover of 11a_138
Z/161
0 0
11a_139
1

detected by
an unknotting move
-1+5t-12t^2+20t^3-23t^4+20t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_139
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 1 0 -1 0 0
-1 0 -1 1 1 -1 0 1
0 0 0 0 0 -1 0 0
0 -1 0 0 0 -1 -1 0
-1 0 -1 1 0 -1 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+9t^-1-11+9t-5t^2+t^3
99
First homology
of the double branched cover of 11a_139
Z/99
-2 2
11a_140
2

detected by
the signature
-2+8t-14t^2+17t^3-14t^4+8t^5-2t^6
Seifert matrix of 11a_140
-1 0 0 0 0 0
0 -1 0 -1 0 0
-1 0 -1 0 0 0
0 0 0 -1 0 0
0 -1 0 -1 -1 0
1 0 1 1 0 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+3t^-2-5t^-1+6-5t+3t^2-t^3
65
First homology
of the double branched cover of 11a_140
Z/65
-4 4
11a_141
1

detected by
an unknotting move
2-11t+24t^2-29t^3+24t^4-11t^5+2t^6
Seifert matrix of 11a_141
1 0 0 0 0 0
0 -1 0 0 0 -1
1 -1 -2 -1 -1 -1
0 0 0 1 1 0
0 0 0 0 1 0
0 0 0 1 1 1
1
Generator of the Alexander module
(0,2,3-t,1,0,0)
the Blanchfield form on it
3t^-4-22t^-3+70t^-2-128t^-1+154-128t+70t^2-22t^3+3t^4
103
First homology
of the double branched cover of 11a_141
Z/103
2 2
11a_142
3

detected by
the signature
-1+5t-8t^2+10t^3-11t^4+10t^5-8t^6+5t^7-t^8
Seifert matrix of 11a_142
1 0 0 0 0 1 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
1 -1 0 1 0 1 1 0
1 -1 0 1 1 1 1 1
0 0 0 0 0 1 0 0
1 0 0 0 0 1 1 0
1 -1 0 1 0 1 1 1
1
Generator of the Alexander module
(0,0,0,1+t+t^4,0,0,t^2,0)
the Blanchfield form on it
2t^-3-9t^-2+10t^-1-8+10t-9t^2+2t^3
59
First homology
of the double branched cover of 11a_142
Z/59
6 6
11a_143
2

detected by
the signature
-2+11t-20t^2+23t^3-20t^4+11t^5-2t^6
Seifert matrix of 11a_143
2 0 0 0 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
-1 -1 0 1 0 0
-1 -1 0 1 1 1
-1 -1 0 1 0 1
2
89
First homology
of the double branched cover of 11a_143
Z/89
4 4
11a_144
2

detected by
the signature
-2+10t-16t^2+17t^3-16t^4+10t^5-2t^6
Seifert matrix of 11a_144
1 0 0 1 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
1 0 0 1 1 0
-1 1 0 -1 -1 2
1
Generator of the Alexander module
(0,0,0,0,-t,1+t)
the Blanchfield form on it
2t^-2-10t^-1+15-10t+2t^2
73
First homology
of the double branched cover of 11a_144
Z/73
4 4
11a_145
1

detected by
an unknotting move
-4+21t-33t^2+21t^3-4t^4
Seifert matrix of 11a_145
2 0 0 0
0 -1 -1 0
0 0 1 0
1 1 0 2
1 or 2
83
First homology
of the double branched cover of 11a_145
Z/83
2 2
11a_146
1

detected by
an unknotting move
-1+6t-15t^2+25t^3-29t^4+25t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_146
1 0 0 0 0 1 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
1 -1 0 -1 1 1 -1 1
0 0 0 0 0 1 0 0
0 -1 -1 -1 0 0 -1 0
1 0 0 -1 0 1 -1 1
1
Generator of the Alexander module
(0,1,0,1,t,0,1,0)
the Blanchfield form on it
t^-3-6t^-2+14t^-1-19+14t-6t^2+t^3
123
First homology
of the double branched cover of 11a_146
Z/123
2 2
11a_147
1

detected by
an unknotting move
-1+6t-17t^2+32t^3-39t^4+32t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_147
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 -1 -1 1 1 -1 -1 1
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 0 0
0 -1 0 0 0 -1 -1 0
0 -1 0 0 1 0 -1 1
1
Generator of the Alexander module
(0,0,0,1,1,0,0,1)
the Blanchfield form on it
t^-3-5t^-2+9t^-1-11+9t-5t^2+t^3
151
First homology
of the double branched cover of 11a_147
Z/151
-2 2
11a_148
2

detected by
the Lickorish test
-7+29t-43t^2+29t^3-7t^4
Seifert matrix of 11a_148
1 0 0 0
-1 -3 1 -1
1 2 -2 1
0 -1 0 -2
1 or 2
115
First homology
of the double branched cover of 11a_148
Z/115
-2 2
11a_149
1

detected by
an unknotting move
2-12t+30t^2-39t^3+30t^4-12t^5+2t^6
Seifert matrix of 11a_149
1 0 0 0 0 0
0 -1 0 0 0 -1
1 -1 -2 -2 -2 0
1 -1 -1 -2 -1 -1
1 -1 -1 -2 -2 0
0 0 0 0 0 1
1
Generator of the Alexander module
(0,1,0,1-t,0,0)
the Blanchfield form on it
2t^-2-8t^-1+12-8t+2t^2
127
First homology
of the double branched cover of 11a_149
Z/127
-2 2
11a_150
2

detected by
the signature
-2+13t-29t^2+37t^3-29t^4+13t^5-2t^6
Seifert matrix of 11a_150
2 0 0 1 0 1
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 0 1 0 0
-1 -1 0 0 1 0
0 -1 0 1 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-2t^-1+3-2t
125
First homology
of the double branched cover of 11a_150
Z/125
4 4
11a_151
1

detected by
an unknotting move
-1+6t-15t^2+26t^3-31t^4+26t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_151
1 0 0 -1 0 -1 1 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
1 -1 0 -1 1 -1 1 1
0 -1 -1 -1 0 -1 0 0
0 0 0 -1 0 -1 1 0
1 0 0 -1 0 -1 1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,-1+t)
the Blanchfield form on it
t^-1-2+t
127
First homology
of the double branched cover of 11a_151
Z/127
2 2
11a_152
1

detected by
an unknotting move
-2+12t-27t^2+35t^3-27t^4+12t^5-2t^6
Seifert matrix of 11a_152
2 0 0 1 0 1
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
-1 -1 0 -1 1 -1
0 -1 -1 -1 0 -1
1
Generator of the Alexander module
(0,-2t-3t^2+4t^3,2+3t-4t^2,-2t-4t^2+3t^3+2t^4,1-2t-6t^2+4t^3+2t^4,-1-5t-4t^2+8t^3)
the Blanchfield form on it
2t^-2-8t^-1+9-8t+2t^2
117
First homology
of the double branched cover of 11a_152
Z/117
0 2
11a_153
1

detected by
an unknotting move
-2+10t-20t^2+25t^3-20t^4+10t^5-2t^6
Seifert matrix of 11a_153
-1 -1 0 0 0 0
0 -2 0 0 0 0
0 1 1 0 -1 0
0 1 1 1 -1 1
0 0 0 0 -1 0
0 1 1 0 -1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
2t^-2-10t^-1+15-10t+2t^2
89
First homology
of the double branched cover of 11a_153
Z/89
0 2
11a_154
1

detected by
an unknotting move
-4+17t-25t^2+17t^3-4t^4
Seifert matrix of 11a_154
-1 -1 0 0
0 -2 0 0
0 0 -1 0
0 -1 1 2
1
Generator of the Alexander module
(2t-t^2,0,-2+t,1+4t-2t^2)
the Blanchfield form on it
-4t^-1+7-4t
67
First homology
of the double branched cover of 11a_154
Z/67
-2 2
11a_155
2

detected by
the Nakanishi index
3-16t+40t^2-53t^3+40t^4-16t^5+3t^6
Seifert matrix of 11a_155
-1 0 0 0 0 0
0 2 0 1 1 0
-1 0 -1 0 0 0
-1 0 -1 1 0 0
0 1 0 0 2 0
-1 -1 -1 0 -1 1
2
171
First homology
of the double branched cover of 11a_155
Z/57+Z/3
2 2
11a_156
2

detected by
the Lickorish test
-1+5t-11t^2+18t^3-21t^4+18t^5-11t^6+5t^7-t^8
Seifert matrix of 11a_156
-1 -1 -1 -1 0 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
-1 -1 0 -1 1 0 1 0
-1 -1 0 -1 1 1 1 1
0 0 0 0 0 0 1 0
-1 -1 0 -1 1 0 1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
t^-3-5t^-2+10t^-1-13+10t-5t^2+t^3
91
First homology
of the double branched cover of 11a_156
Z/91
2 2
11a_157
2

detected by
the Lickorish test
-1+6t-16t^2+28t^3-33t^4+28t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_157
-1 -1 -1 0 -1 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
-1 0 0 1 0 0 1 0
0 -1 -1 0 -1 0 0 0
-1 -1 0 1 -1 1 1 1
0 0 0 0 0 0 1 0
-1 0 0 1 0 0 1 1
2
135
First homology
of the double branched cover of 11a_157
Z/135
2 2
11a_158
1

detected by
an unknotting move
-1+5t-14t^2+25t^3-29t^4+25t^5-14t^6+5t^7-t^8
Seifert matrix of 11a_158
-1 0 0 0 0 0 0 0
0 1 0 0 0 0 1 0
-1 0 -1 0 0 0 0 0
-1 1 -1 1 1 0 1 0
0 1 0 0 1 0 1 0
-1 1 -1 1 1 1 1 0
0 0 0 0 0 0 1 0
0 -1 0 -1 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,-2,0,-5)
the Blanchfield form on it
45t^-3-195t^-2+415t^-1-517+415t-195t^2+45t^3
119
First homology
of the double branched cover of 11a_158
Z/119
2 2
11a_159
2

detected by
the Lickorish test
1-9t+27t^2-37t^3+27t^4-9t^5+t^6
Seifert matrix of 11a_159
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 0 0
0 0 0 -1 0 0
0 0 0 1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,-1,t,1)
the Blanchfield form on it
2t^-2-9t^-1+13-9t+2t^2
111
First homology
of the double branched cover of 11a_159
Z/111
-2 2
11a_160
1

detected by
an unknotting move
1-6t+17t^2-30t^3+37t^4-30t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_160
-1 0 0 0 0 0 0 0
0 1 0 0 0 0 1 0
-1 0 -1 0 0 0 0 0
-1 1 -1 1 1 0 1 0
0 1 0 0 1 0 1 0
0 -1 0 -1 -1 -1 0 0
0 0 0 0 0 0 1 0
0 -1 0 0 -1 -1 0 -1
1
Generator of the Alexander module
(0,1,0,0,1,1,0,-t)
the Blanchfield form on it
1
145
First homology
of the double branched cover of 11a_160
Z/145
0 0
11a_161
2

detected by
the signature
-2+8t-12t^2+13t^3-12t^4+8t^5-2t^6
Seifert matrix of 11a_161
1 0 0 0 0 0
1 -2 0 0 0 0
0 1 1 0 1 0
0 1 1 1 1 1
0 0 0 0 1 0
0 1 1 0 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
57
First homology
of the double branched cover of 11a_161
Z/57
4 4
11a_162
1

detected by
an unknotting move
-1+7t-20t^2+35t^3-41t^4+35t^5-20t^6+7t^7-t^8
Seifert matrix of 11a_162
1 0 0 1 0 0 -1 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 -1 0
0 -1 -1 0 -1 0 0 0
1 -1 0 1 -1 1 -1 1
0 -1 -1 0 -1 0 -1 0
1 0 0 1 -1 0 -1 1
1
Generator of the Alexander module
(0,1+2t+t^2+t^3+2t^4,0,0,0,0,1+t-t^2+2t^3,-1-t-3t^3+t^4-2t^5)
the Blanchfield form on it
x
167
First homology
of the double branched cover of 11a_162
Z/167
2 2
11a_163
2

detected by
the Lickorish test
-1+6t-15t^2+24t^3-27t^4+24t^5-15t^6+6t^7-t^8
Seifert matrix of 11a_163
-1 -1 -1 0 -1 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
-1 -1 -1 -1 -1 0 0 0
0 -1 -1 0 -1 0 0 0
-1 -1 0 -1 -1 1 -1 1
-1 -1 -1 -1 -1 0 -1 0
0 0 0 -1 0 0 -1 1
1
Generator of the Alexander module
(0,0,0,1,0,-1,0,0)
the Blanchfield form on it
-t^-3+7t^-2-19t^-1+26-19t+7t^2-t^3
119
First homology
of the double branched cover of 11a_163
Z/119
-2 2
11a_164
2

detected by
the Lickorish test
-1+7t-20t^2+35t^3-43t^4+35t^5-20t^6+7t^7-t^8
Seifert matrix of 11a_164
1 0 0 0 0 0 0 0
-1 -1 -1 -1 -1 -1 -1 -1
-1 0 -1 -1 0 -1 0 -1
0 0 0 1 1 0 0 1
0 0 0 0 1 0 0 0
-1 0 0 -1 0 -1 0 0
-1 0 -1 -1 -1 -1 -1 -1
0 0 0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,1-3t+3t^2-t^3,0,0,-3+4t-4t^2+3t^3-t^4,0)
the Blanchfield form on it
t^-3-5t^-2+9t^-1-11+9t-5t^2+t^3
169
First homology
of the double branched cover of 11a_164
Z/169
0 0
11a_165
2

detected by
-2+9t-18t^2+23t^3-18t^4+9t^5-2t^6
Seifert matrix of 11a_165
-1 0 0 0 0 0
0 -2 0 0 0 0
-1 0 -1 0 0 0
-1 1 -1 1 0 0
-1 1 -1 1 1 1
-1 1 -1 1 0 1
2
81
First homology
of the double branched cover of 11a_165
Z/81
0 0
11a_166
1

detected by
an unknotting move
-4+15t-21t^2+15t^3-4t^4
Seifert matrix of 11a_166
-1 0 0 0
0 -2 0 0
-1 0 -1 0
1 -1 1 2
1
Generator of the Alexander module
(0,0,-1,1)
the Blanchfield form on it
-2t^-1+5-2t
59
First homology
of the double branched cover of 11a_166
Z/59
-2 2
11a_167
1

detected by
an unknotting move
-2+11t-26t^2+35t^3-26t^4+11t^5-2t^6
Seifert matrix of 11a_167
-1 0 -1 0 0 0
0 1 0 0 0 0
0 1 -2 0 0 0
-1 0 -1 -1 0 0
0 0 1 0 1 1
1 0 1 0 0 1
1
Generator of the Alexander module
(0,0,1+t,1+t,-t-t^2,t)
the Blanchfield form on it
2t^-1-5+2t
113
First homology
of the double branched cover of 11a_167
Z/113
0 0
11a_168
1

detected by
an unknotting move
-2+12t-29t^2+39t^3-29t^4+12t^5-2t^6
Seifert matrix of 11a_168
1 0 0 0 0 0
-1 -1 1 0 0 0
1 0 -2 0 0 0
0 -1 1 1 -1 1
-1 -1 1 0 -1 0
0 -1 0 0 -1 1
1
Generator of the Alexander module
(0,-t,1,t,0,0)
the Blanchfield form on it
-2t^-2+10t^-1-15+10t-2t^2
125
First homology
of the double branched cover of 11a_168
Z/125
0 0
11a_169
1

detected by
an unknotting move
-2+12t-28t^2+37t^3-28t^4+12t^5-2t^6
Seifert matrix of 11a_169
2 0 0 1 1 1
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
0 -1 0 0 1 0
0 -1 -1 -1 0 -1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
-t^-3+6t^-2-14t^-1+18-14t+6t^2-t^3
121
First homology
of the double branched cover of 11a_169
Z/121
0 0
11a_170
2

detected by
the Lickorish test
1-6t+20t^2-40t^3+51t^4-40t^5+20t^6-6t^7+t^8
Seifert matrix of 11a_170
-1 0 0 0 0 0 0 0
0 -1 0 0 0 0 -1 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 1 1 0 1 0
0 0 0 0 1 0 1 0
-1 0 -1 1 1 1 1 0
0 0 0 0 0 0 1 0
0 0 0 -1 -1 0 -1 -1
1
Generator of the Alexander module
(0,-t,t,t,0,2t,1,1)
the Blanchfield form on it
-t^-3+5t^-2-12t^-1+16-12t+5t^2-t^3
185
First homology
of the double branched cover of 11a_170
Z/185
0 0
11a_171
1

detected by
an unknotting move
-1+7t-21t^2+39t^3-47t^4+39t^5-21t^6+7t^7-t^8
Seifert matrix of 11a_171
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 -1 -1
-1 0 -1 0 0 0 0 0
-1 0 -1 1 1 0 1 0
0 0 0 0 1 0 1 0
0 0 0 -1 -1 -1 -1 0
0 0 0 0 0 0 1 0
0 0 0 0 -1 -1 -1 -1
1
Generator of the Alexander module
(0,2-t,0,0,0,1,0,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
183
First homology
of the double branched cover of 11a_171
Z/183
-2 2
11a_172
1

detected by
an unknotting move
2-13t+33t^2-43t^3+33t^4-13t^5+2t^6
Seifert matrix of 11a_172
-1 0 0 -1 0 0
0 1 0 0 0 0
0 -1 -1 1 0 0
0 1 0 -2 0 0
1 0 -1 1 1 -1
0 -1 -1 1 0 -1
1
Generator of the Alexander module
(0,0,0,1+2t,2t,1)
the Blanchfield form on it
2t^-2-11t^-1+20-11t+2t^2
139
First homology
of the double branched cover of 11a_172
Z/139
-2 2
11a_173
2

detected by
the Nakanishi index
2-12t+32t^2-43t^3+32t^4-12t^5+2t^6
Seifert matrix of 11a_173
-1 0 -1 0 0 0
0 -1 -1 0 0 -1
0 0 -2 0 0 -1
0 -1 0 1 -1 0
0 -1 -1 0 -1 0
0 0 0 0 0 1
2
135
First homology
of the double branched cover of 11a_173
Z/45+Z/3
-2 2
11a_174
1

detected by
an unknotting move
-1+5t-11t^2+15t^3-15t^4+15t^5-11t^6+5t^7-t^8
Seifert matrix of 11a_174
-1 0 0 0 0 0 0 0
0 1 0 0 0 1 0 0
0 0 -1 0 0 0 -1 0
-1 0 0 -1 0 0 0 0
-1 1 0 -1 1 1 1 1
0 0 0 0 0 1 0 0
0 1 0 0 0 1 1 0
0 1 0 0 0 1 1 1
1
Generator of the Alexander module
(0,0,0,2,2,0,0,-1)
the Blanchfield form on it
-t^-3+3t^-2-3t^-1+3-3t+3t^2-t^3
79
First homology
of the double branched cover of 11a_174
Z/79
2 2
11a_175
2

detected by
the Lickorish test
1-5t+13t^2-21t^3+25t^4-21t^5+13t^6-5t^7+t^8
Seifert matrix of 11a_175
-1 0 0 0 0 0 0 0
0 1 0 0 0 1 0 0
0 0 -1 0 0 0 -1 0
-1 0 0 -1 0 0 0 0
-1 1 0 -1 1 1 0 1
0 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 0
0 1 1 0 0 1 1 1
1
Generator of the Alexander module
(0,0,0,t,1+t,0,0,0)
the Blanchfield form on it
t^-3-3t^-2+5t^-1-5+5t-3t^2+t^3
105
First homology
of the double branched cover of 11a_175
Z/105
0 2
11a_176
1

detected by
an unknotting move
-1+5t-13t^2+23t^3-27t^4+23t^5-13t^6+5t^7-t^8
Seifert matrix of 11a_176
-1 0 0 0 0 0 0 0
0 -1 -1 0 0 -1 -1 0
0 0 -1 0 0 -1 0 0
-1 0 0 -1 0 0 0 0
-1 0 0 -1 1 1 0 1
0 0 0 0 0 1 0 0
0 0 -1 0 0 -1 -1 0
0 0 0 0 0 1 0 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-11t^-1+15-11t+5t^2-t^3
111
First homology
of the double branched cover of 11a_176
Z/111
-2 2
11a_177
2

detected by
the signature
1-5t+13t^2-19t^3+21t^4-19t^5+13t^6-5t^7+t^8
Seifert matrix of 11a_177
-1 0 0 0 0 0 0 0
0 -1 -1 0 0 -1 -1 0
0 0 -1 0 0 0 -1 0
-1 0 0 -1 0 0 0 0
-1 0 0 -1 1 0 0 1
0 0 -1 0 0 -1 -1 0
0 0 0 0 0 0 -1 0
0 1 1 0 0 1 1 1
1
Generator of the Alexander module
(0,0,0,1,1,0,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
97
First homology
of the double branched cover of 11a_177
Z/97
-4 4
11a_178
2

detected by
the Lickorish test
2-11t+29t^2-39t^3+29t^4-11t^5+2t^6
Seifert matrix of 11a_178
-1 0 0 0 0 0
0 -1 1 0 0 0
0 0 -2 0 0 0
-1 0 0 -1 0 0
-1 0 0 -1 1 1
0 1 -1 0 0 1
1
Generator of the Alexander module
(0,1+t,0,2-t-2t^2,3-t-4t^2,0)
the Blanchfield form on it
2t^-2-7t^-1+11-7t+2t^2
123
First homology
of the double branched cover of 11a_178
Z/123
-2 2
11a_179
2

detected by
the signature
1-5t+9t^2-9t^3+9t^4-9t^5+9t^6-5t^7+t^8
Seifert matrix of 11a_179
1 0 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 -1 -1
-1 0 -1 -1 0 0 -1 -1
-1 0 0 -1 0 0 0 -1
0 0 0 0 1 0 0 0
-1 0 -1 -1 0 -1 -1 -1
-1 0 0 -1 0 0 -1 -1
-1 0 0 0 -1 0 0 -1
1
Generator of the Alexander module
(0,1,0,t^2,-1,t,t,1)
the Blanchfield form on it
t^-3-3t^-2+3t^-1-3+3t-3t^2+t^3
57
First homology
of the double branched cover of 11a_179
Z/57
-4 4
11a_180
1

detected by
an unknotting move
1-5t+11t^2-17t^3+21t^4-17t^5+11t^6-5t^7+t^8
Seifert matrix of 11a_180
1 0 0 0 0 0 0 0
-1 -1 -1 0 0 -1 -1 0
-1 0 -1 0 0 0 -1 0
0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 1
-1 0 -1 0 0 -1 -1 0
-1 0 0 -1 -1 0 -1 -1
0 0 0 1 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,0,0,1,0)
the Blanchfield form on it
1
89
First homology
of the double branched cover of 11a_180
Z/89
0 0
11a_181
2

detected by
the Nakanishi index
2-11t+23t^2-27t^3+23t^4-11t^5+2t^6
Seifert matrix of 11a_181
1 0 0 0 0 0
-1 -1 1 -1 0 -1
1 0 -2 1 0 1
-1 0 0 -1 0 -1
0 0 0 0 1 0
-1 0 0 0 -1 -1
2
99
First homology
of the double branched cover of 11a_181
Z/33+Z/3
-2 2
11a_182
2

detected by
the signature
1-5t+11t^2-13t^3+13t^4-13t^5+11t^6-5t^7+t^8
Seifert matrix of 11a_182
1 0 0 0 0 0 0 0
-1 -1 0 0 0 -1 0 0
0 0 1 0 0 0 0 0
0 0 1 1 0 0 1 0
0 0 1 1 1 0 1 1
-1 0 -1 -1 -1 -1 -1 -1
0 0 1 0 0 0 1 0
0 0 1 1 0 0 1 1
1
Generator of the Alexander module
(0,0,0,-t^3,0,1+t,0,0)
the Blanchfield form on it
-t^-3+5t^-2-11t^-1+13-11t+5t^2-t^3
73
First homology
of the double branched cover of 11a_182
Z/73
4 4
11a_183
2

detected by
the Lickorish test
2-11t+27t^2-35t^3+27t^4-11t^5+2t^6
Seifert matrix of 11a_183
1 0 0 0 0 0
-1 -1 0 0 0 -1
0 0 1 0 0 0
0 0 -1 2 0 0
0 0 1 -1 1 0
-1 0 -1 1 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,-2)
the Blanchfield form on it
2t^-2-3t^-1+3-3t+2t^2
115
First homology
of the double branched cover of 11a_183
Z/115
2 2
11a_184
1

detected by
an unknotting move
-1+5t-11t^2+17t^3-19t^4+17t^5-11t^6+5t^7-t^8
Seifert matrix of 11a_184
-1 0 0 -1 -1 0 0 -1
0 1 0 0 0 0 0 -1
0 1 1 0 0 1 0 -1
0 0 0 -1 -1 0 0 0
0 0 0 0 1 0 0 0
0 1 0 0 0 1 0 -1
0 1 1 0 0 1 1 -1
0 0 0 -1 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-15+11t-5t^2+t^3
87
First homology
of the double branched cover of 11a_184
Z/87
2 2
11a_185
1

detected by
an unknotting move
-2+11t-25t^2+33t^3-25t^4+11t^5-2t^6
Seifert matrix of 11a_185
-1 0 0 -1 -1 -1
0 1 0 0 0 -1
0 -1 2 0 0 1
0 0 0 -1 -1 0
0 0 0 0 1 0
0 0 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+6t^-2-14t^-1+18-14t+6t^2-t^3
109
First homology
of the double branched cover of 11a_185
Z/109
0 0
11a_186
3

detected by
the signature
4-12t+20t^2-23t^3+20t^4-12t^5+4t^6
Seifert matrix of 11a_186
-1 0 0 -1 0 0
0 -1 0 -1 0 1
0 0 -1 0 0 -1
0 0 0 -2 0 0
0 -1 0 -1 -1 1
0 0 0 1 0 -2
1
Generator of the Alexander module
(-1,0,1-2t,0,1,0)
the Blanchfield form on it
4t^-2-6t^-1+8-6t+4t^2
95
First homology
of the double branched cover of 11a_186
Z/95
-6 6
11a_187
1

detected by
an unknotting move
-2+11t-27t^2+37t^3-27t^4+11t^5-2t^6
Seifert matrix of 11a_187
-1 0 0 0 0 0
0 2 0 0 0 0
-1 0 -1 0 0 0
-1 -1 -1 1 0 1
0 0 0 0 -1 0
0 -1 0 0 1 1
1
Generator of the Alexander module
(-2t,0,-t,1-t,0,-1+t+2t^2-2t^3)
the Blanchfield form on it
-11t^-2+14t^-1+10+14t-11t^2
117
First homology
of the double branched cover of 11a_187
Z/117
0 0
11a_188
1

detected by
an unknotting move
2-9t+15t^2-15t^3+15t^4-9t^5+2t^6
Seifert matrix of 11a_188
1 0 0 0 0 0
-1 -1 -1 -1 -1 0
-1 0 -1 0 -1 0
-1 0 -1 -1 -1 0
-1 0 0 0 -1 1
0 0 0 0 0 2
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
2t^-2-9t^-1+15-9t+2t^2
67
First homology
of the double branched cover of 11a_188
Z/67
-2 2
11a_189
1

detected by
an unknotting move
1-6t+17t^2-31t^3+39t^4-31t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_189
1 0 0 0 0 0 0 0
-1 -1 0 -1 0 -1 0 -1
0 0 1 0 0 0 0 0
-1 0 0 -1 -1 0 -1 0
0 0 1 0 1 0 1 0
-1 0 -1 -1 -1 -1 -1 -1
0 0 1 0 0 0 1 0
-1 0 0 -1 -1 0 -1 -1
1
Generator of the Alexander module
(0,-1-3t-2t^2-t^3-t^4,0,1+2t+3t^2+4t^3+3t^4+t^5+t^6,0,-t-3t^2-2t^3-t^4-t^5,1+2t+t^3,t+2t^2+t^4)
the Blanchfield form on it
x
149
First homology
of the double branched cover of 11a_189
Z/149
0 0
11a_190
1

detected by
an unknotting move
-2+9t-19t^2+25t^3-19t^4+9t^5-2t^6
Seifert matrix of 11a_190
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 1 0 1
0 0 0 1 0 0
0 0 0 1 -2 0
0 0 0 1 0 1
1
Generator of the Alexander module
(-3+2t-t^2,-3t+2t^2-t^3,0,0,1-6t+4t^2-2t^3,3-2t+t^2)
the Blanchfield form on it
-79t^-4+492t^-3-1413t^-2+2558t^-1-3080+2558t-1413t^2+492t^3-79t^4
85
First homology
of the double branched cover of 11a_190
Z/85
0 0
11a_191
3

detected by
the signature
4-11t+17t^2-19t^3+17t^4-11t^5+4t^6
Seifert matrix of 11a_191
-1 0 0 -1 0 0
0 -1 -1 0 -1 -1
0 0 -1 0 0 -1
0 0 0 -2 0 0
0 0 -1 0 -1 -1
0 0 0 1 0 -2
1
Generator of the Alexander module
(0,-t^2,0,0,0,1+t)
the Blanchfield form on it
4t^-2-11t^-1+15-11t+4t^2
83
First homology
of the double branched cover of 11a_191
Z/83
-6 6
11a_192
2

detected by
the signature
8-24t+33t^2-24t^3+8t^4
Seifert matrix of 11a_192
-1 -1 0 0
0 -2 0 0
0 0 -2 0
0 1 -1 -2
1 or 2
97
First homology
of the double branched cover of 11a_192
Z/97
-4 4
11a_193
2

detected by
the Lickorish test
2-10t+22t^2-27t^3+22t^4-10t^5+2t^6
Seifert matrix of 11a_193
1 0 0 0 0 0
-1 -1 0 -1 0 0
0 0 1 0 0 1
-1 0 0 -1 1 0
0 0 1 0 2 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,2-2t+3t^2,-2t,1-t+t^2,-t)
the Blanchfield form on it
-5t^-2+13t^-1-21+13t-5t^2
95
First homology
of the double branched cover of 11a_193
Z/95
2 2
11a_194
2

detected by
the signature
1-5t+12t^2-18t^3+21t^4-18t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_194
1 0 0 0 0 0 0 0
-1 -1 0 0 0 -1 0 0
0 0 1 0 0 0 0 0
0 0 1 1 0 0 0 1
0 0 1 1 1 0 1 1
-1 0 0 -1 -1 -1 -1 0
0 0 1 1 0 0 1 1
0 0 1 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,-1,1,0,0)
the Blanchfield form on it
-t^-3+5t^-2-11t^-1+13-11t+5t^2-t^3
93
First homology
of the double branched cover of 11a_194
Z/93
4 4
11a_195
1

detected by
an unknotting move
3-13t+21t^2-13t^3+3t^4
Seifert matrix of 11a_195
1 0 0 0
-1 -1 0 -1
0 0 3 0
-1 0 -1 -1
1
Generator of the Alexander module
(12t-12t^2,-1-11t+11t^2,0,11-11t)
the Blanchfield form on it
-368t^-1+655-368t
53
First homology
of the double branched cover of 11a_195
Z/53
0 0
11a_196
2

detected by
the Nakanishi index
-1+6t-17t^2+31t^3-37t^4+31t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_196
1 0 0 0 0 0 0 0
-1 -1 0 -1 0 -1 0 0
0 0 1 0 0 0 0 0
-1 0 0 -1 -1 0 -1 0
0 0 1 0 1 0 1 1
-1 0 0 -1 -1 -1 -1 -1
0 0 1 0 0 0 1 1
0 0 1 0 0 0 0 1
2
147
First homology
of the double branched cover of 11a_196
Z/21+Z/7
2 2
11a_197
1

detected by
an unknotting move
3-14t+33t^2-43t^3+33t^4-14t^5+3t^6
Seifert matrix of 11a_197
-1 -1 -1 0 -1 0
0 -2 -1 0 -2 0
0 -1 -2 0 -1 0
0 1 1 1 1 1
0 -1 -1 0 -2 0
0 1 0 0 1 1
1 or 2
143
First homology
of the double branched cover of 11a_197
Z/143
-2 2
11a_198
1

detected by
an unknotting move
2-11t+27t^2-35t^3+27t^4-11t^5+2t^6
Seifert matrix of 11a_198
-1 0 0 0 0 0
0 2 -1 0 1 -1
0 0 -1 0 0 -1
-1 0 0 -1 0 0
-1 0 -1 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,1+2t,2,0,0,0)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
115
First homology
of the double branched cover of 11a_198
Z/115
-2 2
11a_199
2

detected by
the Lickorish test
2-11t+23t^2-27t^3+23t^4-11t^5+2t^6
Seifert matrix of 11a_199
1 0 0 0 0 0
0 1 0 0 0 0
0 1 1 0 0 1
1 0 0 -2 1 0
-1 -1 -1 0 -1 -1
0 1 0 0 0 1
1
Generator of the Alexander module
(2-24t^2+17t^3-16t^4-80t^5+8t^6,-t+80t^3-8t^4,72t^3,1-16t^2+8t^3,8t^2-t^3-72t^4+80t^5-8t^6,t-32t^3+8t^4)
the Blanchfield form on it
x
99
First homology
of the double branched cover of 11a_199
Z/99
2 2
11a_200
2

detected by
the signature
7-21t+29t^2-21t^3+7t^4
Seifert matrix of 11a_200
-1 1 1 1
0 -3 -2 -2
0 -1 -3 -2
0 -1 -3 -3
1 or 2
85
First homology
of the double branched cover of 11a_200
Z/85
-4 4
11a_201
1

detected by
an unknotting move
4-20t+33t^2-20t^3+4t^4
Seifert matrix of 11a_201
1 0 0 0
1 -2 1 0
-1 0 -1 1
0 0 0 2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
-2t^-2+11t^-1-18+11t-2t^2
81
First homology
of the double branched cover of 11a_201
Z/81
0 0
11a_202
2

detected by
the Lickorish test
2-12t+26t^2-31t^3+26t^4-12t^5+2t^6
Seifert matrix of 11a_202
1 0 0 0 0 0
0 -1 0 0 -1 0
0 0 1 0 0 0
1 -1 0 -2 -1 1
0 0 0 0 -1 0
-1 0 -1 0 0 -1
1
Generator of the Alexander module
(0,-3t+5t^2-6t^3+3t^4-6t^5,0,11-15t+11t^2-21t^3+3t^4-6t^5,3-5t+6t^2-3t^3+6t^4,-5+6t-3t^2+6t^3)
the Blanchfield form on it
-875t^-3+5253t^-2-11392t^-1+13592-11392t+5253t^2-875t^3
111
First homology
of the double branched cover of 11a_202
Z/111
-2 2
11a_203
3

detected by
the signature
-1+5t-9t^2+11t^3-11t^4+11t^5-9t^6+5t^7-t^8
Seifert matrix of 11a_203
-1 0 0 0 0 0 0 0
0 -1 -1 0 0 -1 0 -1
0 0 -1 0 0 -1 0 0
-1 0 0 -1 0 0 0 0
-1 0 0 -1 1 -1 0 0
0 0 0 0 0 -1 0 0
0 -1 -1 0 0 -1 -1 -1
0 0 -1 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-9t^-1+11-9t+5t^2-t^3
63
First homology
of the double branched cover of 11a_203
Z/63
-6 6
11a_204
2

detected by
the signature
-2+11t-23t^2+29t^3-23t^4+11t^5-2t^6
Seifert matrix of 11a_204
-1 0 0 0 0 0
0 -2 1 0 0 1
0 0 -1 0 0 -1
-1 0 0 -1 0 0
-1 0 0 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,1+5t-8t^2,-3t+2t^3+6t^4,t+3t^2,6t^2,0)
the Blanchfield form on it
-t^-6-5t^-5+59t^-4+13t^-3-714t^-2+1924t^-1-2546+1924t-714t^2+13t^3+59t^4-5t^5-t^6
101
First homology
of the double branched cover of 11a_204
Z/101
-4 4
11a_205
2

detected by
the Lickorish test
2-10t+21t^2-25t^3+21t^4-10t^5+2t^6
Seifert matrix of 11a_205
1 0 0 0 0 0
0 -1 0 0 0 -1
0 0 1 0 1 0
1 -1 0 -2 0 -1
0 0 0 0 1 0
0 0 1 0 1 1
1
Generator of the Alexander module
(2+4t-6t^2,5+10t-14t^2,3+8t+6t^2+5t^3+51t^4-72t^5+30t^6,-11-22t+31t^2,1+4t+6t^2+5t^3+20t^4-36t^5+15t^6,2+3t+2t^2-15t^3+9t^4)
the Blanchfield form on it
x
91
First homology
of the double branched cover of 11a_205
Z/91
2 2
11a_206
3

detected by
the signature
1-5t+7t^2-7t^3+7t^4-7t^5+7t^6-5t^7+t^8
Seifert matrix of 11a_206
1 0 0 0 0 1 0 0
1 1 0 0 0 1 1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
1 1 -1 0 1 1 1 1
0 0 0 0 0 1 0 0
1 0 0 0 0 1 1 0
1 1 0 0 0 1 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-2t^-3+3t^-2-3t^-1+3-3t+3t^2-2t^3
47
First homology
of the double branched cover of 11a_206
Z/47
6 6
11a_207
2

detected by
the signature
-2+11t-19t^2+21t^3-19t^4+11t^5-2t^6
Seifert matrix of 11a_207
1 0 0 0 0 1
-1 2 0 0 0 -1
0 0 -1 -1 0 0
0 0 0 1 0 0
1 -1 -1 0 1 1
0 0 0 0 0 1
1 or 2
85
First homology
of the double branched cover of 11a_207
Z/85
4 4
11a_208
2

detected by
the signature
-2+12t-24t^2+29t^3-24t^4+12t^5-2t^6
Seifert matrix of 11a_208
2 1 0 0 0 1
2 2 0 0 0 2
0 0 -1 -1 0 0
0 0 0 1 0 0
-1 -1 -1 0 1 -1
2 1 0 0 0 2
1 or 2
105
First homology
of the double branched cover of 11a_208
Z/105
4 4
11a_209
1

detected by
an unknotting move
-1+10t-34t^2+51t^3-34t^4+10t^5-t^6
Seifert matrix of 11a_209
1 0 0 0 0 0
-1 -1 -1 0 -1 -1
0 0 1 0 0 0
0 0 -1 -1 0 -1
-1 0 -1 0 -1 0
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,2-t,1-t,0)
the Blanchfield form on it
-2t^-2+10t^-1-17+10t-2t^2
141
First homology
of the double branched cover of 11a_209
Z/141
0 0
11a_210
1

detected by
an unknotting move
4-18t+29t^2-18t^3+4t^4
Seifert matrix of 11a_210
1 0 0 0
0 -1 1 0
0 0 2 0
1 -1 1 -2
1 or 2
73
First homology
of the double branched cover of 11a_210
Z/73
0 0
11a_211
1

detected by
an unknotting move
-3+17t-27t^2+17t^3-3t^4
Seifert matrix of 11a_211
-1 -1 0 0
0 1 0 0
-1 0 1 1
0 0 0 3
1 or 2
67
First homology
of the double branched cover of 11a_211
Z/67
2 2
11a_212
2

detected by
the signature
-3+16t-35t^2+45t^3-35t^4+16t^5-3t^6
Seifert matrix of 11a_212
-1 0 -1 -1 0 -1
0 -1 0 -1 0 0
0 0 -2 -1 0 -2
0 0 -1 -2 0 -1
0 1 1 1 1 1
0 0 -1 -1 0 -2
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
-2t^-2+8t^-1-11+8t-2t^2
153
First homology
of the double branched cover of 11a_212
Z/153
-4 4
11a_213
2

detected by
the signature
-3+16t-33t^2+41t^3-33t^4+16t^5-3t^6
Seifert matrix of 11a_213
-1 -1 -1 0 0 -1
0 -2 -2 0 0 -1
0 -1 -2 0 0 -1
0 -1 -1 -1 0 0
0 -1 0 0 1 -1
0 -1 -1 0 0 -2
1
Generator of the Alexander module
(-t+t^2,0,0,t-t^2,1,1-t)
the Blanchfield form on it
13t^-3-70t^-2+145t^-1-180+145t-70t^2+13t^3
145
First homology
of the double branched cover of 11a_213
Z/145
-4 4
11a_214
1

detected by
an unknotting move
3-17t+29t^2-17t^3+3t^4
Seifert matrix of 11a_214
-3 -1 0 0
0 1 0 0
0 0 1 -1
-1 -1 0 -1
1
Generator of the Alexander module
(0,0,t,1)
the Blanchfield form on it
3t^-1-7+3t
69
First homology
of the double branched cover of 11a_214
Z/69
0 0
11a_215
2

detected by
the signature
1-6t+17t^2-27t^3+31t^4-27t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_215
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 -1 -1 1 -1 -1 0 1
0 -1 0 0 -1 -1 0 0
0 0 0 0 0 -1 0 0
0 -1 0 0 -1 -1 -1 0
0 0 0 0 -1 0 0 1
1 or 2
133
First homology
of the double branched cover of 11a_215
Z/133
-4 4
11a_216
1

detected by
an unknotting move
-1+6t-17t^2+31t^3-37t^4+31t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_216
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 -1 -1 1 1 -1 0 1
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 0 0
0 -1 0 0 0 -1 -1 0
0 -1 0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,t,1+t,0,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-8t^-1+11-8t+4t^2-t^3
147
First homology
of the double branched cover of 11a_216
Z/147
-2 2
11a_217
1

detected by
an unknotting move
-1+6t-16t^2+29t^3-35t^4+29t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_217
-1 0 -1 -1 -1 0 0 0
-1 1 0 0 -1 0 1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 -1 -1 -1 0 0 0
-1 1 -1 0 -1 1 1 1
0 0 0 0 0 0 1 0
-1 1 0 0 -1 0 1 1
1
Generator of the Alexander module
(0,-2+2t,1,0,0,0,0,0)
the Blanchfield form on it
t^-1-3+t
139
First homology
of the double branched cover of 11a_217
Z/139
2 2
11a_218
1

detected by
an unknotting move
1-10t+32t^2-45t^3+32t^4-10t^5+t^6
Seifert matrix of 11a_218
-1 0 0 0 0 0
1 1 -1 0 0 0
0 0 -1 -1 0 0
0 0 0 1 0 0
0 0 -1 0 1 1
1 0 -1 0 0 1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
131
First homology
of the double branched cover of 11a_218
Z/131
2 2
11a_219
2

detected by
the Lickorish test
-4+22t-35t^2+22t^3-4t^4
Seifert matrix of 11a_219
2 1 0 0
0 -1 -1 0
0 0 1 0
1 1 0 2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-2t^-2+11t^-1-18+11t-2t^2
87
First homology
of the double branched cover of 11a_219
Z/87
2 2
11a_220
2

detected by
the signature
-2+10t-19t^2+23t^3-19t^4+10t^5-2t^6
Seifert matrix of 11a_220
-1 0 -1 0 0 0
0 -1 0 0 -1 0
0 0 -2 0 0 0
0 0 1 1 -1 0
0 0 0 0 -1 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
85
First homology
of the double branched cover of 11a_220
Z/85
-4 4
11a_221
1

detected by
an unknotting move
-1+5t-10t^2+15t^3-17t^4+15t^5-10t^6+5t^7-t^8
Seifert matrix of 11a_221
1 0 0 0 0 0 1 0
0 -1 -1 -1 -1 0 0 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 -1 -1 -1 0 0 0
1 -1 -1 0 -1 1 1 1
0 0 0 0 0 0 1 0
1 0 0 0 0 0 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-7t^-1+7-7t+5t^2-t^3
79
First homology
of the double branched cover of 11a_221
Z/79
2 2
11a_222
1

detected by
an unknotting move
-2+11t-23t^2+29t^3-23t^4+11t^5-2t^6
Seifert matrix of 11a_222
2 0 0 0 0 0
0 -1 -1 -1 -1 0
0 0 -1 -1 0 0
0 0 0 1 0 0
0 0 -1 -1 -1 0
-1 -1 -1 0 -1 1
1
Generator of the Alexander module
(0,2t^3-4t^4+4t^5-t^6,1+2t^3-4t^4+6t^5-7t^6+8t^7-5t^8+t^9,-2t^2+4t^3-4t^4+t^5,-2t^2+6t^3-8t^4+5t^5-t^6,1+2t^2-2t^3+3t^5-t^6)
the Blanchfield form on it
x
101
First homology
of the double branched cover of 11a_222
Z/101
0 2
11a_223
3

detected by
the signature
-1+5t-10t^2+14t^3-15t^4+14t^5-10t^6+5t^7-t^8
Seifert matrix of 11a_223
-1 0 0 0 0 0 0 0
0 -1 -1 0 0 -1 -1 0
0 0 -1 0 0 0 -1 0
-1 0 0 -1 0 0 0 0
-1 0 -1 -1 1 -1 -1 0
0 0 -1 0 0 -1 -1 0
0 0 0 0 0 0 -1 0
0 -1 -1 0 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,-t,0,1,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-9t^-1+11-9t+5t^2-t^3
75
First homology
of the double branched cover of 11a_223
Z/75
-6 6
11a_224
2

detected by
the signature
-2+10t-20t^2+25t^3-20t^4+10t^5-2t^6
Seifert matrix of 11a_224
-1 0 0 0 0 0
0 -1 1 0 0 0
0 0 -2 0 0 0
-1 0 0 -1 0 0
-1 0 1 -1 1 0
0 -1 1 0 0 -1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
-2t^-2+9t^-1-13+9t-2t^2
89
First homology
of the double branched cover of 11a_224
Z/89
-4 4
11a_225
2

detected by
the signature
-2+8t-11t^2+11t^3-11t^4+8t^5-2t^6
Seifert matrix of 11a_225
1 0 0 0 1 0
0 1 0 0 0 0
0 1 -2 0 0 0
1 0 1 1 1 1
0 0 0 0 1 0
1 0 0 0 1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
t^-3-3t^-2+4t^-1-4+4t-3t^2+t^3
53
First homology
of the double branched cover of 11a_225
Z/53
4 4
11a_226
1

detected by
an unknotting move
-4+18t-27t^2+18t^3-4t^4
Seifert matrix of 11a_226
2 0 0 0
0 1 0 0
0 1 -2 0
-1 0 1 1
1 or 2
71
First homology
of the double branched cover of 11a_226
Z/71
2 2
11a_227
3

detected by
the signature
5-17t+31t^2-37t^3+31t^4-17t^5+5t^6
Seifert matrix of 11a_227
-1 -1 -1 -1 0 0
0 -2 -1 -2 0 0
0 -1 -2 -1 0 -1
0 -1 -1 -2 0 0
0 -1 0 -1 -1 1
0 1 0 1 0 -2
1 or 2
143
First homology
of the double branched cover of 11a_227
Z/143
-6 6
11a_228
1

detected by
an unknotting move
-1+10t-32t^2+47t^3-32t^4+10t^5-t^6
Seifert matrix of 11a_228
-1 0 0 0 0 0
1 1 -1 0 0 1
0 0 -1 -1 0 0
0 0 0 1 0 0
1 0 -1 0 1 0
-1 0 0 0 0 -1
1
Generator of the Alexander module
(-1+3t-5t^2-77t^3+28t^4+80t^5-44t^6,3-27t+120t^2+16t^3-172t^4+80t^5,-2+31t-127t^2-111t^3+304t^4+136t^5-300t^6+48t^7+32t^8,-1+15t-58t^2-70t^3+197t^4+76t^5-212t^6+52t^7+16t^8,2-16t+65t^2+4t^3-92t^4+44t^5,1-8t+38t^2+12t^3-56t^4+24t^5)
the Blanchfield form on it
x
133
First homology
of the double branched cover of 11a_228
Z/133
0 0
11a_229
1

detected by
an unknotting move
-4+18t-27t^2+18t^3-4t^4
Seifert matrix of 11a_229
-1 0 -1 0
0 -2 0 0
0 0 -2 0
0 1 1 1
1 or 2
71
First homology
of the double branched cover of 11a_229
Z/71
-2 2
11a_230
1

detected by
an unknotting move
-3+13t-19t^2+13t^3-3t^4
Seifert matrix of 11a_230
-1 0 0 0
-1 -1 0 0
-1 -1 1 -1
0 0 0 -3
1
Generator of the Alexander module
(0,1,1,0)
the Blanchfield form on it
1
51
First homology
of the double branched cover of 11a_230
Z/51
-2 2
11a_231
2

detected by
the Nakanishi index
-1+5t-12t^2+20t^3-23t^4+20t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_231
-1 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0
0 0 -1 0 0 -1 -1 -1
0 0 0 1 0 0 0 0
-1 0 0 0 -1 0 0 0
-1 1 0 1 -1 1 0 0
-1 1 0 1 -1 1 1 1
-1 1 0 1 -1 1 0 1
2
99
First homology
of the double branched cover of 11a_231
Z/33+Z/3
2 2
11a_232
1

detected by
an unknotting move
-1+5t-14t^2+26t^3-31t^4+26t^5-14t^6+5t^7-t^8
Seifert matrix of 11a_232
-1 0 0 0 0 0 0 0
0 -1 0 -1 0 -1 -1 0
-1 0 1 1 -1 1 1 1
0 0 0 1 0 0 0 0
-1 0 0 0 -1 0 0 0
-1 0 0 1 -1 1 1 0
0 0 0 1 0 0 1 0
-1 0 0 1 -1 1 1 1
1
Generator of the Alexander module
(0,1-t,0,0,0,0,0,t)
the Blanchfield form on it
-t^-2+2t^-1-4+2t-t^2
123
First homology
of the double branched cover of 11a_232
Z/123
2 2
11a_233
1

detected by
an unknotting move
1-6t+19t^2-37t^3+47t^4-37t^5+19t^6-6t^7+t^8
Seifert matrix of 11a_233
-1 0 0 0 0 0 0 0
0 -1 0 -1 0 0 -1 -1
-1 0 1 1 -1 1 1 0
0 0 0 1 0 0 0 0
-1 0 0 0 -1 0 0 0
-1 0 0 1 -1 1 1 0
0 0 0 1 0 0 1 0
0 0 0 -1 0 -1 -1 -1
1
Generator of the Alexander module
(0,-2+t,0,0,0,0,0,-1+3t-3t^2+t^3)
the Blanchfield form on it
-t^-2+2t^-1-4+2t-t^2
173
First homology
of the double branched cover of 11a_233
Z/173
0 0
11a_234
4

detected by
the signature
2-4t+5t^2-5t^3+5t^4-5t^5+5t^6-4t^7+2t^8
Seifert matrix of 11a_234
-1 0 0 0 -1 0 0 0
0 -1 -1 -1 -1 0 -1 -1
0 0 -1 -1 -1 0 0 -1
0 0 0 -1 -1 0 0 0
0 0 0 0 -2 0 0 0
0 -1 -1 -1 -1 -1 -1 -1
0 0 -1 -1 -1 0 -1 -1
0 0 0 -1 -1 0 0 -1
1
Generator of the Alexander module
(0,0,-20,-5,16,0,8,7)
the Blanchfield form on it
908t^-3-1298t^-2+1538t^-1-1255+1538t-1298t^2+908t^3
37
First homology
of the double branched cover of 11a_234
Z/37
-8 8
11a_235
3

detected by
the signature
4-10t+14t^2-15t^3+14t^4-10t^5+4t^6
Seifert matrix of 11a_235
-1 0 0 0 -1 0
0 -1 1 -1 -1 0
0 0 -2 1 1 0
0 0 0 -1 -1 0
0 0 0 0 -2 0
0 -1 1 -1 -1 -1
1 or 2
71
First homology
of the double branched cover of 11a_235
Z/71
-6 6
11a_236
3

detected by
the signature
4-12t+21t^2-25t^3+21t^4-12t^5+4t^6
Seifert matrix of 11a_236
-1 0 0 0 -1 0
0 -2 -2 1 1 -2
0 -1 -2 1 1 -1
0 0 0 -1 -1 0
0 0 0 0 -2 0
0 -1 -2 1 1 -2
1 or 2
99
First homology
of the double branched cover of 11a_236
Z/99
-6 6
11a_237
2

detected by
the signature
8-23t+31t^2-23t^3+8t^4
Seifert matrix of 11a_237
-1 0 -1 0
0 -2 1 -1
0 0 -2 0
0 0 1 -2
1 or 2
93
First homology
of the double branched cover of 11a_237
Z/93
-4 4
11a_238
2

detected by
the signature
6-16t+21t^2-16t^3+6t^4
Seifert matrix of 11a_238
-1 0 -1 0
0 -1 -1 0
0 0 -2 0
0 -1 -1 -3
1 or 2
65
First homology
of the double branched cover of 11a_238
Z/65
-4 4
11a_239
2

detected by
the Lickorish test
-1+7t-22t^2+42t^3-51t^4+42t^5-22t^6+7t^7-t^8
Seifert matrix of 11a_239
-1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 -1 -1
-1 0 1 -1 1 0 1 0
-1 0 0 -1 0 0 0 0
-1 0 0 -1 1 0 1 0
0 0 -1 0 -1 -1 -1 0
0 0 0 0 0 0 1 0
0 0 0 0 -1 -1 -1 -1
2
195
First homology
of the double branched cover of 11a_239
Z/195
-2 2
11a_240
4

detected by
the signature
2-5t+8t^2-10t^3+11t^4-10t^5+8t^6-5t^7+2t^8
Seifert matrix of 11a_240
-1 0 0 -1 -1 -1 0 0
0 -1 -1 -1 -1 -1 0 -1
0 0 -1 -1 -1 -1 0 0
0 0 0 -2 -1 -2 0 0
0 0 0 -2 -2 -2 0 0
0 0 0 -1 -1 -2 0 0
0 -1 -1 -1 -1 -1 -1 -1
0 0 -1 -1 -1 -1 0 -1
1
Generator of the Alexander module
(1,0,0,0,0,0,0,0)
the Blanchfield form on it
t^-3-2t^-2+3t^-1-3+3t-2t^2+t^3
61
First homology
of the double branched cover of 11a_240
Z/61
-8 8
11a_241
3

detected by
the signature
4-12t+20t^2-23t^3+20t^4-12t^5+4t^6
Seifert matrix of 11a_241
-1 0 0 -1 -1 -1
0 -2 1 1 1 1
0 0 -1 -1 -1 -1
0 0 0 -2 -1 -2
0 0 0 -2 -2 -2
0 0 0 -1 -1 -2
1 or 2
95
First homology
of the double branched cover of 11a_241
Z/95
-6 6
11a_242
3

detected by
the signature
3-7t+9t^2-9t^3+9t^4-7t^5+3t^6
Seifert matrix of 11a_242
-1 0 0 1 0 0
0 -1 -1 1 0 -1
0 0 -1 1 0 0
0 0 0 -3 0 0
0 -1 -1 1 -1 -1
0 0 -1 1 0 -1
1
Generator of the Alexander module
(t,0,0,1,0,0)
the Blanchfield form on it
t^-2-t^-1+1-t+t^2
47
First homology
of the double branched cover of 11a_242
Z/47
-6 6
11a_243
2

detected by
the signature
6-17t+23t^2-17t^3+6t^4
Seifert matrix of 11a_243
-1 0 0 1
0 -2 1 -1
0 0 -1 1
0 0 0 -3
1 or 2
69
First homology
of the double branched cover of 11a_243
Z/69
-4 4
11a_244
3

detected by
the signature
5-17t+32t^2-39t^3+32t^4-17t^5+5t^6
Seifert matrix of 11a_244
-1 -1 -1 -1 0 0
0 -2 -1 -1 0 -1
0 -2 -2 -1 0 -1
0 -1 -1 -2 0 0
0 0 0 -1 -1 1
0 0 0 1 0 -2
1 or 2
147
First homology
of the double branched cover of 11a_244
Z/147
-6 6
11a_245
3

detected by
the signature
3-9t+16t^2-19t^3+16t^4-9t^5+3t^6
Seifert matrix of 11a_245
-1 0 1 1 1 0
0 -1 1 1 1 0
0 0 -3 -3 -3 0
0 0 -2 -3 -2 0
0 0 -2 -3 -3 0
0 -1 1 1 1 -1
1
Generator of the Alexander module
(-1,0,0,0,0,1)
the Blanchfield form on it
3t^-2-6t^-1+8-6t+3t^2
75
First homology
of the double branched cover of 11a_245
Z/75
-6 6
11a_246
2

detected by
the signature
4-10t+13t^2-10t^3+4t^4
Seifert matrix of 11a_246
-1 0 -1 0
0 -1 -1 0
0 0 -4 0
0 -1 -1 -1
1
Generator of the Alexander module
(1,0,0,-1)
the Blanchfield form on it
4t^-1-6+4t
41
First homology
of the double branched cover of 11a_246
Z/41
-4 4
11a_247
1

detected by
an unknotting move
5-9t+5t^2
Seifert matrix of 11a_247
-1 1
0 -5
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
1
19
First homology
of the double branched cover of 11a_247
Z/19
-2 2
11a_248
1

detected by
an unknotting move
1-6t+18t^2-34t^3+41t^4-34t^5+18t^6-6t^7+t^8
Seifert matrix of 11a_248
-1 0 -1 -1 0 0 0 0
-1 -1 -1 -1 0 0 0 0
0 0 -1 -1 0 -1 0 0
0 0 0 1 0 0 0 0
0 0 0 0 1 0 0 1
0 0 0 1 0 1 0 0
-1 0 -1 0 1 0 1 1
0 0 0 0 0 0 0 1
1
Generator of the Alexander module
(0,2t-3t^2+2t^4-2t^5+t^6,-2t^2+t^3-t^4,2t-t^2-t^3+t^4-t^5,2t+t^2-2t^3+2t^4-t^5,0,1+5t-8t^2+8t^3-4t^4+t^5,2t+t^2-2t^3+2t^4-t^5)
the Blanchfield form on it
x
159
First homology
of the double branched cover of 11a_248
Z/159
2 2
11a_249
2

detected by
the Nakanishi index
-2+11t-27t^2+37t^3-27t^4+11t^5-2t^6
Seifert matrix of 11a_249
-1 0 -1 -1 0 0
-1 -1 -1 -1 0 0
0 0 -1 -1 0 -1
0 0 0 1 0 0
1 0 1 0 2 0
0 0 0 1 0 1
2
117
First homology
of the double branched cover of 11a_249
Z/39+Z/3
0 0
11a_250
2

detected by
the signature
1-5t+11t^2-16t^3+19t^4-16t^5+11t^6-5t^7+t^8
Seifert matrix of 11a_250
-1 0 0 -1 0 -1 -1 -1
0 1 0 0 0 0 0 0
-1 0 -1 -1 0 -1 -1 -1
0 -1 0 -1 0 -1 -1 -1
0 0 0 0 1 0 0 0
0 -1 0 0 -1 -1 -1 -1
0 -1 0 0 -1 0 -1 0
0 -1 0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,0,1,0)
the Blanchfield form on it
t^-3-5t^-2+10t^-1-11+10t-5t^2+t^3
85
First homology
of the double branched cover of 11a_250
Z/85
-4 4
11a_251
1

detected by
an unknotting move
1-6t+16t^2-27t^3+33t^4-27t^5+16t^6-6t^7+t^8
Seifert matrix of 11a_251
-1 0 0 -1 0 0 -1 0
0 1 0 0 0 0 0 0
-1 0 -1 -1 0 0 -1 0
0 -1 0 -1 -1 0 -1 -1
0 0 0 0 1 1 0 1
0 0 0 0 0 1 0 0
0 -1 0 0 -1 0 -1 0
0 0 0 0 0 1 0 1
1
Generator of the Alexander module
(0,3-12t+10t^2-3t^3,1+6t^3-6t^4+2t^5,-6t+24t^2-20t^3+6t^4,-6t-3t^2+7t^3-3t^4,9t-9t^2+3t^3,3-6t-5t^2+17t^3-12t^4+3t^5,0)
the Blanchfield form on it
x
133
First homology
of the double branched cover of 11a_251
Z/133
0 0
11a_252
1

detected by
an unknotting move
1-6t+16t^2-27t^3+31t^4-27t^5+16t^6-6t^7+t^8
Seifert matrix of 11a_252
-1 0 -1 0 -1 0 -1 0
-1 -1 -1 0 -1 0 -1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 -1 -1 -1 0 0 0
0 0 -1 0 -1 1 -1 1
0 0 -1 -1 -1 0 -1 0
0 0 0 0 -1 0 -1 1
1
Generator of the Alexander module
(0,0,0,0,1,t,1,t)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
131
First homology
of the double branched cover of 11a_252
Z/131
-2 2
11a_253
1

detected by
an unknotting move
-1+6t-16t^2+27t^3-33t^4+27t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_253
-1 0 -1 0 0 0 -1 0
-1 -1 -1 0 0 0 -1 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 1 0 -1 0
0 0 -1 0 1 1 -1 1
0 0 -1 -1 0 0 -1 0
0 0 -1 0 1 0 -1 1
1
Generator of the Alexander module
(0,1,0,0,0,0,0,3-4t+3t^2-t^3)
the Blanchfield form on it
t^-3-5t^-2+10t^-1-11+10t-5t^2+t^3
133
First homology
of the double branched cover of 11a_253
Z/133
0 0
11a_254
1

detected by
an unknotting move
-1+6t-16t^2+27t^3-31t^4+27t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_254
-1 0 0 -1 0 0 -1 -1
0 1 0 0 0 0 0 0
-1 0 -1 -1 0 0 -1 -1
0 -1 0 -1 -1 -1 -1 -1
0 0 0 0 1 1 0 0
0 0 0 0 0 1 0 0
0 -1 0 0 -1 0 -1 0
0 -1 0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1,-1,0,1,0)
the Blanchfield form on it
-t^-3+5t^-2-10t^-1+12-10t+5t^2-t^3
131
First homology
of the double branched cover of 11a_254
Z/131
-2 2
11a_255
1

detected by
an unknotting move
1-6t+17t^2-30t^3+35t^4-30t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_255
-1 0 -1 -1 -1 -1 0 0
-1 -1 -1 -1 -1 -1 0 0
0 0 -1 -1 -1 -1 -1 0
0 0 0 1 0 0 0 0
0 0 0 1 1 1 0 0
0 0 0 1 0 1 0 0
0 0 0 1 1 1 1 0
-1 0 -1 0 0 0 0 1
1
Generator of the Alexander module
(-7t+2t^2+38t^4+39t^5+23t^6+8t^7-38t^8-14t^9+12t^10,4+2t^2-28t^3-26t^4-33t^5-12t^6+18t^7,-5t-26t^2-28t^3-25t^4+15t^5+18t^6+4t^7+7t^8-6t^9,10-10t-4t^2-82t^3-78t^4-54t^5-73t^6+20t^7-2t^8-14t^9+12t^10,1+2t-10t^2-13t^3-76t^4-40t^5-26t^6+29t^7+113t^8-t^9-46t^10+32t^11+14t^12-12t^13,9-9t+t^2-73t^3-52t^4-4
the Blanchfield form on it
x
143
First homology
of the double branched cover of 11a_255
Z/143
2 2
11a_256
1

detected by
an unknotting move
-2+12t-31t^2+43t^3-31t^4+12t^5-2t^6
Seifert matrix of 11a_256
-1 0 -1 1 0 0
-1 -1 -1 1 0 0
0 0 -1 1 -1 0
0 0 0 2 0 0
0 0 0 -1 1 0
-1 0 -1 0 0 1
1
Generator of the Alexander module
(2,0,0,0,0,1)
the Blanchfield form on it
-6t^-2+20t^-1-23+20t-6t^2
133
First homology
of the double branched cover of 11a_256
Z/133
0 0
11a_257
1

detected by
an unknotting move
1-5t+12t^2-19t^3+23t^4-19t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_257
-1 0 0 -1 0 0 -1 0
0 1 0 0 0 0 0 0
-1 0 -1 -1 0 0 -1 0
0 -1 0 -1 0 0 -1 0
0 0 0 0 1 0 0 0
0 0 0 0 1 1 0 1
0 -1 0 0 -1 -1 -1 -1
0 0 0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-3t^-2+6t^-1-7+6t-3t^2+t^3
97
First homology
of the double branched cover of 11a_257
Z/97
0 0
11a_258
2

detected by
the Lickorish test
2-9t+17t^2-19t^3+17t^4-9t^5+2t^6
Seifert matrix of 11a_258
-1 0 0 -1 -1 0
0 1 0 0 0 0
-1 0 -1 -1 -1 0
0 -1 0 -1 -1 0
0 -1 0 0 -1 1
0 0 0 0 0 2
1
Generator of the Alexander module
(1-t+t^2,10-52t+76t^2-67t^3+45t^4-8t^5+4t^6+6t^7,8t-14t^2+14t^3-13t^4+3t^5-2t^6-2t^7,3-5t+3t^2-t^3-t^4,-2+38t-62t^2+54t^3-42t^4+6t^5-6t^6-6t^7,0)
the Blanchfield form on it
x
75
First homology
of the double branched cover of 11a_258
Z/75
-2 2
11a_259
3

detected by
the signature
-1+5t-10t^2+15t^3-17t^4+15t^5-10t^6+5t^7-t^8
Seifert matrix of 11a_259
-1 -1 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0
-1 -1 -1 0 -1 0 0 0
0 0 0 -1 0 0 -1 0
0 -1 0 0 -1 0 0 0
0 -1 0 0 -1 1 -1 0
0 0 0 0 0 0 -1 0
0 0 0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-8t^-1+9-8t+5t^2-t^3
79
First homology
of the double branched cover of 11a_259
Z/79
-6 6
11a_260
2

detected by
the signature
-2+9t-15t^2+17t^3-15t^4+9t^5-2t^6
Seifert matrix of 11a_260
-1 -1 0 0 -1 0
0 -1 0 0 0 0
-1 -1 -1 0 -1 0
0 0 0 -2 0 0
0 -1 0 0 -1 0
0 -1 0 1 -1 1
1
Generator of the Alexander module
(0,0,t-t^4,0,0,1+t-t^3)
the Blanchfield form on it
-2t^-2+7t^-1-8+7t-2t^2
69
First homology
of the double branched cover of 11a_260
Z/69
-4 4
11a_261
2

detected by
the signature
1-6t+16t^2-26t^3+31t^4-26t^5+16t^6-6t^7+t^8
Seifert matrix of 11a_261
1 0 0 0 0 0 0 0
1 1 0 1 0 0 0 0
-1 -1 -1 -1 0 0 -1 0
1 0 0 1 0 0 0 0
0 0 0 0 1 0 0 0
0 0 0 0 1 1 0 1
0 -1 0 0 -1 -1 -1 -1
0 0 0 0 1 0 0 1
1
Generator of the Alexander module
(0,1+t,-t-t^2,0,0,2t+t^2,-2t-2t^2,0)
the Blanchfield form on it
-t^-3+6t^-2-14t^-1+17-14t+6t^2-t^3
129
First homology
of the double branched cover of 11a_261
Z/129
4 4
11a_262
1

detected by
an unknotting move
2-11t+25t^2-31t^3+25t^4-11t^5+2t^6
Seifert matrix of 11a_262
1 0 0 0 0 0
1 1 0 1 0 0
-1 -1 -1 -1 -1 0
1 0 0 1 0 0
0 -1 0 0 -1 1
0 0 0 0 0 2
1
Generator of the Alexander module
(0,-1,2,0,1,0)
the Blanchfield form on it
t^-1-1+t
107
First homology
of the double branched cover of 11a_262
Z/107
2 2
11a_263
4

detected by
the signature
2-6t+11t^2-14t^3+15t^4-14t^5+11t^6-6t^7+2t^8
Seifert matrix of 11a_263
-1 0 0 0 1 1 1 0
0 -1 0 0 -1 -1 -1 0
-1 0 -1 0 1 1 1 0
0 0 0 -1 -1 -1 -1 0
0 0 0 0 -2 -1 -2 0
0 0 0 0 -2 -2 -2 0
0 0 0 0 -1 -1 -2 0
0 0 0 -1 -1 -1 -1 -1
2
81
First homology
of the double branched cover of 11a_263
Z/27+Z/3
-8 8
11a_264
1

detected by
an unknotting move
-1+6t-16t^2+28t^3-33t^4+28t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_264
1 0 0 0 0 -1 0 0
0 -1 0 0 0 0 0 0
1 0 1 0 0 -1 0 0
0 0 0 -1 -1 0 -1 -1
0 0 0 0 -1 0 -1 0
0 -1 0 0 0 -1 0 0
1 -1 1 0 0 -1 1 0
0 0 0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+6t^-2-14t^-1+19-14t+6t^2-t^3
135
First homology
of the double branched cover of 11a_264
Z/135
-2 2
11a_265
1

detected by
an unknotting move
-2+11t-25t^2+33t^3-25t^4+11t^5-2t^6
Seifert matrix of 11a_265
1 0 0 -1 0 0
0 -1 0 0 0 0
1 0 1 -1 0 0
0 -1 0 -1 0 0
1 -1 1 -1 1 0
0 0 0 0 1 -2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-14+11t-5t^2+t^3
109
First homology
of the double branched cover of 11a_265
Z/109
0 0
11a_266
1

detected by
an unknotting move
-1+7t-23t^2+45t^3-57t^4+45t^5-23t^6+7t^7-t^8
Seifert matrix of 11a_266
-1 0 0 -1 -1 -1 0 0
-1 -1 0 -1 -1 -1 0 0
-1 0 1 0 0 0 0 0
0 0 0 -1 -1 0 -1 0
0 0 0 0 1 0 0 0
0 0 0 -1 -1 -1 -1 0
0 0 0 0 1 0 1 0
-1 0 1 0 0 -1 0 1
1
Generator of the Alexander module
(2,0,1,1,0,0,2,-1)
the Blanchfield form on it
-2t^-3+23t^-2-61t^-1+83-61t+23t^2-2t^3
209
First homology
of the double branched cover of 11a_266
Z/209
0 0
11a_267
1

detected by
an unknotting move
1-7t+22t^2-41t^3+49t^4-41t^5+22t^6-7t^7+t^8
Seifert matrix of 11a_267
-1 0 0 -1 -1 0 0 0
-1 -1 0 -1 -1 0 0 0
-1 0 1 0 0 0 0 0
0 0 0 -1 -1 0 -1 0
0 0 0 0 1 0 0 0
-1 0 1 0 0 1 0 0
0 0 0 0 1 0 1 0
-1 0 1 -1 0 1 0 1
1
Generator of the Alexander module
(0,t-2t^2+t^3,-1+t,4-4t+t^3,0,-t+2t^2-t^3,-t+2t^2-t^3,0)
the Blanchfield form on it
-2t^-3+12t^-2-31t^-1+43-31t+12t^2-2t^3
191
First homology
of the double branched cover of 11a_267
Z/191
2 2
11a_268
1

detected by
an unknotting move
1-6t+17t^2-29t^3+33t^4-29t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_268
-1 0 -1 -1 -1 0 -1 0
-1 -1 -1 -1 -1 0 -1 0
0 0 -1 -1 -1 -1 -1 0
0 0 0 -1 -1 -1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 1 1 0 0
0 0 0 -1 -1 -1 -1 0
-1 0 -1 -1 0 0 -1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-6t^-2+16t^-1-23+16t-6t^2+t^3
139
First homology
of the double branched cover of 11a_268
Z/139
-2 2
11a_269
1

detected by
an unknotting move
1-6t+18t^2-32t^3+37t^4-32t^5+18t^6-6t^7+t^8
Seifert matrix of 11a_269
-1 0 -1 -1 -1 -1 0 0
-1 -1 -1 -1 -1 -1 0 0
0 0 -1 -1 -1 -1 -1 0
0 0 0 -1 -1 0 -1 0
0 0 0 0 1 0 0 0
0 0 0 -1 -1 -1 -1 0
0 0 0 0 1 0 1 0
-1 0 -1 0 0 0 0 1
1
Generator of the Alexander module
(0,2t-4t^2-2t^3-2t^4-2t^6,-2t-2t^2-8t^3-4t^4-2t^5-2t^6-2t^7,4+6t+4t^2-4t^3-2t^4-2t^6-2t^7,2+6t-2t^2-2t^3-2t^6,2-8t^3-4t^4-2t^5-2t^6-2t^7,2+2t-4t^2+2t^3+4t^4+2t^7,1+4t+2t^2+2t^3+2t^4)
the Blanchfield form on it
x
151
First homology
of the double branched cover of 11a_269
Z/151
-2 2
11a_270
1

detected by
an unknotting move
-2+12t-32t^2+45t^3-32t^4+12t^5-2t^6
Seifert matrix of 11a_270
-1 0 -1 0 1 0
-1 -1 -1 0 1 0
0 0 1 0 0 0
0 0 1 1 0 0
0 0 1 1 -2 0
-1 0 0 0 1 1
1
Generator of the Alexander module
(0,-1,0,1,1,-1)
the Blanchfield form on it
-t^-2+4t^-1-7+4t-t^2
137
First homology
of the double branched cover of 11a_270
Z/137
0 0
11a_271
1

detected by
an unknotting move
3-17t+40t^2-51t^3+40t^4-17t^5+3t^6
Seifert matrix of 11a_271
1 0 0 0 0 0
1 -1 1 -1 0 0
1 0 1 0 0 0
1 0 1 -2 0 -1
1 -1 0 -1 -1 0
1 0 1 -1 0 -2
1 or 2
171
First homology
of the double branched cover of 11a_271
Z/171
-2 2
11a_272
1

detected by
an unknotting move
-2+13t-35t^2+49t^3-35t^4+13t^5-2t^6
Seifert matrix of 11a_272
1 0 0 0 0 0
1 -1 1 0 0 -1
1 0 1 0 0 0
0 -1 0 1 -1 0
1 -1 0 0 -1 -1
1 0 1 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-2t^-2+9t^-1-15+9t-2t^2
149
First homology
of the double branched cover of 11a_272
Z/149
0 0
11a_273
1

detected by
an unknotting move
3-16t+37t^2-47t^3+37t^4-16t^5+3t^6
Seifert matrix of 11a_273
1 0 -1 0 0 -1
-1 -1 1 0 -1 1
0 0 2 1 0 1
0 0 0 1 0 0
-1 0 0 0 -1 1
0 0 1 1 0 2
1
Generator of the Alexander module
(0,1+4t+5t^2-51t^3+108t^4-124t^5+81t^6-28t^7+4t^8,0,-t+6t^2-45t^3+63t^4+17t^5-155t^6+224t^7-158t^8+56t^9-8t^10,1+5t-16t^2+26t^3-24t^4+11t^5-2t^6,-1-5t+t^2+6t^3-45t^4+141t^5-236t^6+252t^7-162t^8+56t^9-8t^10)
the Blanchfield form on it
x
159
First homology
of the double branched cover of 11a_273
Z/159
2 2
11a_274
2

detected by
the Lickorish test
-1+6t-18t^2+35t^3-45t^4+35t^5-18t^6+6t^7-t^8
Seifert matrix of 11a_274
-1 0 0 -1 0 0 0 -1
-1 -1 0 -1 0 0 0 -1
-1 -1 1 0 0 0 1 0
0 0 0 -1 -1 0 0 0
0 0 0 0 1 0 0 0
-1 -1 1 0 0 1 1 -1
0 0 0 0 0 0 1 0
0 0 0 -1 -1 0 0 -1
1 or 2
165
First homology
of the double branched cover of 11a_274
Z/165
0 0
11a_275
2

detected by
the signature
-3+15t-29t^2+35t^3-29t^4+15t^5-3t^6
Seifert matrix of 11a_275
-1 0 -1 0 0 -1
0 -1 0 0 0 0
0 1 -2 1 0 -1
0 -1 0 -1 0 0
0 -1 1 -1 1 0
0 1 -1 1 0 -2
1
Generator of the Alexander module
(-t,0,1-3t,0,3t,0)
the Blanchfield form on it
13t^-3-65t^-2+126t^-1-152+126t-65t^2+13t^3
129
First homology
of the double branched cover of 11a_275
Z/129
-4 4
11a_276
2

detected by
the signature
-3+17t-37t^2+47t^3-37t^4+17t^5-3t^6
Seifert matrix of 11a_276
-2 1 -1 0 0 -1
0 -1 0 0 0 0
-1 1 -2 0 0 -2
1 -1 0 1 -1 0
0 0 -1 0 -1 -1
-1 1 -1 0 0 -2
1 or 2
161
First homology
of the double branched cover of 11a_276
Z/161
-4 4
11a_277
2

detected by
the Nakanishi index
-1+6t-17t^2+28t^3-31t^4+28t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_277
1 0 0 1 0 0 1 0
-1 -1 0 0 -1 -1 -1 -1
0 0 -1 0 0 0 0 0
0 0 -1 1 0 0 0 0
-1 0 0 0 -1 -1 0 -1
-1 0 0 0 0 -1 0 0
0 0 -1 1 0 0 1 0
-1 0 0 0 0 -1 0 -1
2
135
First homology
of the double branched cover of 11a_277
Z/45+Z/3
-2 2
11a_278
1

detected by
an unknotting move
-2+12t-33t^2+47t^3-33t^4+12t^5-2t^6
Seifert matrix of 11a_278
1 0 0 1 1 0
-1 -1 0 0 -1 1
0 0 -1 0 0 0
0 0 -1 1 0 0
0 0 -1 1 1 0
1 0 0 0 0 -2
1 or 2
141
First homology
of the double branched cover of 11a_278
Z/141
0 0
11a_279
1

detected by
an unknotting move
3-12t+20t^2-21t^3+20t^4-12t^5+3t^6
Seifert matrix of 11a_279
-1 1 -1 -1 1 -1
0 2 0 0 1 0
0 0 -1 -1 1 -1
0 0 0 -1 1 0
0 1 0 0 2 0
0 0 0 -1 1 -1
1
Generator of the Alexander module
(-10t^2+8t^3,0,1-8t^2+4t^3,2-7t^2+3t^3-3t^4,4t,1+4t-8t^2)
the Blanchfield form on it
-487t^-3+1950t^-2-3255t^-1+3422-3255t+1950t^2-487t^3
91
First homology
of the double branched cover of 11a_279
Z/91
-2 2
11a_280
1

detected by
an unknotting move
6-26t+41t^2-26t^3+6t^4
Seifert matrix of 11a_280
-1 1 1 1
0 2 1 0
0 1 2 0
0 0 -1 -2
1
Generator of the Alexander module
(-1+t,0,0,2-t)
the Blanchfield form on it
9t^-3-54t^-2+137t^-1-184+137t-54t^2+9t^3
105
First homology
of the double branched cover of 11a_280
Z/105
0 0
11a_281
2

detected by
the Lickorish test
1-6t+18t^2-33t^3+39t^4-33t^5+18t^6-6t^7+t^8
Seifert matrix of 11a_281
-1 0 -1 -1 0 0 -1 0
-1 -1 -1 -1 0 0 -1 0
0 0 -1 -1 -1 0 -1 0
0 0 0 -1 -1 0 0 0
0 0 0 0 1 0 0 0
-1 0 -1 0 0 1 0 0
0 0 0 -1 -1 0 -1 0
-1 0 -1 -1 0 1 -1 1
1
Generator of the Alexander module
(0,-t-2t^3+t^4,0,0,0,1+2t^2-t^3,0,1-3t+3t^2-3t^3+t^4)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
155
First homology
of the double branched cover of 11a_281
Z/155
-2 2
11a_282
1

detected by
an unknotting move
-1+6t-16t^2+26t^3-29t^4+26t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_282
1 0 0 1 1 0 1 1
-1 -1 0 0 0 -1 0 -1
0 0 -1 0 0 0 0 0
0 0 -1 1 0 0 0 0
0 0 -1 1 1 0 1 0
-1 0 0 0 0 -1 0 0
0 0 -1 1 0 0 1 0
0 0 -1 1 1 0 1 1
1
Generator of the Alexander module
(0,-1+4t+t^2-13t^3+5t^4+5t^5+t^6-3t^7+2t^8,1+2t-2t^2+t^3-t^5+2t^6,-3t-3t^2+t^4-2t^5,2+t-2t^2-t^3+5t^4+5t^5-3t^6+2t^7,-1+t+3t^2-10t^3-5t^4+t^6-2t^7,0,0)
the Blanchfield form on it
x
127
First homology
of the double branched cover of 11a_282
Z/127
2 2
11a_283
1

detected by
an unknotting move
3-15t+34t^2-43t^3+34t^4-15t^5+3t^6
Seifert matrix of 11a_283
-1 0 0 -1 1 -1
0 2 1 0 1 1
0 0 1 0 0 0
0 0 0 -1 1 0
0 1 0 0 2 0
0 0 1 0 0 1
1
Generator of the Alexander module
(0,-t,0,0,1-t,0)
the Blanchfield form on it
-t^-4+8t^-3-28t^-2+56t^-1-70+56t-28t^2+8t^3-t^4
147
First homology
of the double branched cover of 11a_283
Z/147
2 2
11a_284
1

detected by
an unknotting move
-1+7t-21t^2+38t^3-45t^4+38t^5-21t^6+7t^7-t^8
Seifert matrix of 11a_284
1 0 0 0 0 -1 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 -1 0 0 -1
1 0 0 1 0 -1 0 0
-1 0 0 -1 -1 0 -1 0
0 -1 0 0 0 -1 0 0
1 -1 0 1 0 -1 1 0
-1 0 0 -1 -1 0 0 -1
1
Generator of the Alexander module
(0,0,-2+t-t^2,0,0,0,1,0)
the Blanchfield form on it
-t^-3+6t^-2-14t^-1+18-14t+6t^2-t^3
179
First homology
of the double branched cover of 11a_284
Z/179
-2 2
11a_285
1

detected by
an unknotting move
-2+14t-38t^2+53t^3-38t^4+14t^5-2t^6
Seifert matrix of 11a_285
1 0 -1 0 -1 0
-1 -1 1 -1 0 0
0 0 2 0 0 1
-1 0 0 -1 0 0
0 0 0 0 -1 0
0 0 0 0 -1 1
1
Generator of the Alexander module
(0,1+2t-3t^2,-t,t-4t^2+2t^3,-1,0)
the Blanchfield form on it
-15t^-2+39t^-1-17+39t-15t^2
161
First homology
of the double branched cover of 11a_285
Z/161
0 0
11a_286
2

detected by
the Lickorish test
1-6t+17t^2-31t^3+37t^4-31t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_286
-1 0 0 -1 0 -1 -1 0
-1 -1 0 -1 0 -1 -1 0
-1 0 1 0 0 0 0 0
0 0 0 -1 -1 0 0 0
0 0 0 0 1 0 0 0
0 0 0 -1 -1 -1 0 0
0 0 0 -1 -1 -1 -1 0
-1 0 1 0 0 -1 -1 1
1
Generator of the Alexander module
(-2t^3,0,1,0,0,-2t^2,0,-2+t-t^2)
the Blanchfield form on it
19t^-3-36t^-2+84t^-1-85+84t-36t^2+19t^3
147
First homology
of the double branched cover of 11a_286
Z/147
-2 2
11a_287
1

detected by
an unknotting move
-1+7t-21t^2+38t^3-47t^4+38t^5-21t^6+7t^7-t^8
Seifert matrix of 11a_287
-1 0 0 -1 0 0 -1 0
-1 -1 0 -1 0 0 -1 0
-1 0 1 0 0 0 0 0
0 0 0 -1 -1 0 0 0
0 0 0 0 1 0 0 0
-1 0 1 0 0 1 -1 0
0 0 0 -1 -1 0 -1 0
-1 0 1 -1 0 1 -1 1
1
Generator of the Alexander module
(2+3t-4t^3+5t^4+2t^5-4t^6+2t^7,t+2t^2+t^3-6t^4+6t^5-2t^6,-2-5t+5t^2+8t^3-5t^4-19t^5+34t^6-22t^7+6t^8,-2-t+t^2+3t^3-8t^4+6t^5-2t^6,-2-6t-11t^2-2t^3-18t^4+28t^5-2t^6-8t^7-32t^8+72t^9-52t^10+16t^11,-4-6t+4t^2-2t^3-27t^4+10t^5-22t^6+28t^7-2t^8-8t^9-32t^10+72t^11-52t^12+16t^13,-3t^2+11t^3+23t^4-25t^5-24t
the Blanchfield form on it
x
181
First homology
of the double branched cover of 11a_287
Z/181
0 0
11a_288
2

detected by
the Lickorish test
1-7t+23t^2-44t^3+55t^4-44t^5+23t^6-7t^7+t^8
Seifert matrix of 11a_288
1 0 0 0 -1 0 1 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 -1 -1
1 0 0 1 -1 0 1 0
0 -1 0 0 -1 0 0 0
1 -1 0 1 -1 1 1 0
0 0 0 0 0 0 1 0
-1 0 0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,-4+15t^2-21t^3-13t^4+22t^5-6t^6,4t+4t^2+5t^3-10t^4+3t^5,4+9t^2-11t^3+3t^4,5-9t+13t^2+3t^3-10t^4+3t^5,20t^2+4t^3-19t^4+6t^5,4t+8t^2-11t^3+3t^4)
the Blanchfield form on it
x
205
First homology
of the double branched cover of 11a_288
Z/205
0 0
11a_289
1

detected by
an unknotting move
1-6t+17t^2-30t^3+37t^4-30t^5+17t^6-6t^7+t^8
Seifert matrix of 11a_289
1 0 0 1 1 0 1 0
-1 -1 0 0 -1 -1 0 -1
0 0 -1 0 0 0 0 0
0 0 -1 1 0 0 0 0
0 0 -1 1 1 0 1 0
-1 0 0 0 0 -1 0 0
0 0 -1 1 0 0 1 0
-1 0 0 0 0 -1 0 -1
1
Generator of the Alexander module
(8t-12t^3+34t^4-6t^5-71t^6+39t^7+43t^8-39t^9-2t^10+11t^11-3t^12,1+t+2t^2+8t^3-2t^4-4t^5+4t^6-16t^7+6t^8+11t^9-11t^10+3t^11,21+24t-23t^2+28t^3+92t^4-124t^5-254t^6+165t^7+176t^8-174t^9+88t^10+8t^11-78t^12+66t^13-18t^14,-4+4t^2-17t^3+5t^4+27t^5-17t^6-8t^7+11t^8-3t^9,7+8t-7t^2+4t^3+31t^4-33t^5-113t^6+56
the Blanchfield form on it
x
145
First homology
of the double branched cover of 11a_289
Z/145
0 0
11a_290
1

detected by
an unknotting move
-3+15t-32t^2+41t^3-32t^4+15t^5-3t^6
Seifert matrix of 11a_290
-1 0 -1 -1 1 -1
0 2 1 0 1 0
0 0 1 0 0 0
0 0 0 -1 1 0
0 1 0 0 2 0
0 0 0 -1 1 -1
1
Generator of the Alexander module
(1-2t-22t^2+12t^3-2t^4+45t^5-92t^6+65t^7-15t^8,30-46t-130t^2+24t^3+180t^4-306t^5-30t^6+296t^7-194t^8+72t^9-16t^10,35-52t-229t^2+18t^3+221t^4-225t^5-213t^6+359t^7-151t^8+60t^9-20t^10,5-2t-118t^2+49t^3+33t^4+48t^5-265t^6+264t^7-94t^8+18t^9-4t^10,-9+3t+t^2+16t^3-32t^4+22t^5-5t^6,-48+74t+78t^2+26t^3-266
the Blanchfield form on it
x
141
First homology
of the double branched cover of 11a_290
Z/141
0 2
11a_291
3

detected by
the signature
5-14t+20t^2-21t^3+20t^4-14t^5+5t^6
Seifert matrix of 11a_291
-2 1 1 0 1 1
0 -2 -2 -1 -2 -2
0 -1 -2 -1 -1 -2
-1 -1 -1 -2 -1 -1
0 -1 -2 -1 -2 -2
0 -1 -1 -1 -1 -2
2
99
First homology
of the double branched cover of 11a_291
Z/33+Z/3
-6 6
11a_292
2

detected by
the signature
10-32t+45t^2-32t^3+10t^4
Seifert matrix of 11a_292
-2 1 -1 0
0 -2 2 -1
0 1 -3 1
-1 -1 1 -2
1 or 2
129
First homology
of the double branched cover of 11a_292
Z/129
-4 4
11a_293
2

detected by
the Nakanishi index
1-5t+12t^2-15t^3+15t^4-15t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_293
1 0 0 1 1 1 1 1
-1 -1 0 0 0 -1 0 0
0 0 -1 0 0 0 0 0
0 0 -1 1 0 0 0 0
0 0 -1 1 1 0 1 0
0 0 -1 1 1 1 1 1
0 0 -1 1 0 0 1 0
0 0 -1 1 1 0 1 1
2
81
First homology
of the double branched cover of 11a_293
Z/27+Z/3
4 4
11a_294
1

detected by
an unknotting move
2-11t+29t^2-39t^3+29t^4-11t^5+2t^6
Seifert matrix of 11a_294
1 0 0 1 -1 1
-1 -1 0 0 0 -1
0 0 -1 0 0 0
0 0 -1 1 0 0
0 0 1 -1 2 0
0 0 -1 1 -1 1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
-2t^-2+11t^-1-17+11t-2t^2
123
First homology
of the double branched cover of 11a_294
Z/123
2 2
11a_295
2

detected by
the signature
-3+14t-24t^2+27t^3-24t^4+14t^5-3t^6
Seifert matrix of 11a_295
-1 0 0 -1 1 0
0 2 1 1 1 1
0 0 1 0 0 0
0 0 1 1 0 1
0 1 0 0 2 0
0 0 1 0 0 1
1 or 2
109
First homology
of the double branched cover of 11a_295
Z/109
4 4
11a_296
2

detected by
the Lickorish test
-6+28t-43t^2+28t^3-6t^4
Seifert matrix of 11a_296
-1 1 1 1
0 2 1 0
0 1 2 0
0 1 0 2
1 or 2
111
First homology
of the double branched cover of 11a_296
Z/111
2 2
11a_297
2

detected by
the Nakanishi index
2-15t+42t^2-57t^3+42t^4-15t^5+2t^6
Seifert matrix of 11a_297
1 0 -1 0 -1 0
-1 -1 0 -1 0 0
0 0 2 1 0 1
0 0 0 1 0 0
0 0 0 0 -1 0
0 0 0 0 -1 1
2
175
First homology
of the double branched cover of 11a_297
Z/35+Z/5
2 2
11a_298
3

detected by
the signature
5-16t+28t^2-33t^3+28t^4-16t^5+5t^6
Seifert matrix of 11a_298
-1 1 0 1 1 0
0 -2 0 -1 -1 0
0 0 -1 0 -1 0
0 -1 0 -2 -1 0
0 0 0 -1 -2 0
0 0 -1 0 -1 -1
1 or 2
131
First homology
of the double branched cover of 11a_298
Z/131
-6 6
11a_299
2

detected by
the signature
8-24t+33t^2-24t^3+8t^4
Seifert matrix of 11a_299
-1 1 -1 1
0 -2 1 -1
0 0 -3 1
0 -1 1 -2
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
6t^-1-11+6t
97
First homology
of the double branched cover of 11a_299
Z/97
-4 4
11a_300
1

detected by
an unknotting move
-1+6t-17t^2+32t^3-41t^4+32t^5-17t^6+6t^7-t^8
Seifert matrix of 11a_300
-1 0 -1 0 0 -1 0 0
-1 -1 -1 0 0 -1 0 0
0 0 -1 0 0 -1 -1 0
-1 -1 -1 1 1 -1 0 1
0 0 0 0 1 0 0 0
0 0 0 0 0 -1 -1 0
0 0 0 0 0 0 1 0
-1 -1 -1 0 1 0 0 1
1 or 2
153
First homology
of the double branched cover of 11a_300
Z/153
0 0
11a_301
1

detected by
an unknotting move
-1+7t-22t^2+43t^3-53t^4+43t^5-22t^6+7t^7-t^8
Seifert matrix of 11a_301
-1 -1 0 -1 0 -1 0 0
0 1 0 0 1 0 0 0
-1 0 1 0 0 0 0 0
0 -1 0 -1 0 0 -1 0
0 0 0 0 1 0 0 0
0 -1 0 -1 0 -1 -1 0
0 1 0 0 1 0 1 0
-1 0 1 0 0 -1 0 1
1
Generator of the Alexander module
(0,0,3-3t+t^2,0,0,2-t,0,0)
the Blanchfield form on it
t^-3-5t^-2+11t^-1-15+11t-5t^2+t^3
199
First homology
of the double branched cover of 11a_301
Z/199
2 2
11a_302
2

detected by
the signature
1-7t+20t^2-33t^3+39t^4-33t^5+20t^6-7t^7+t^8
Seifert matrix of 11a_302
-1 -1 0 -1 0 0 0 0
0 1 0 0 1 0 0 0
-1 0 1 0 0 0 0 0
0 -1 0 -1 0 0 -1 0
0 0 0 0 1 0 0 0
-1 0 1 0 0 1 0 0
0 1 0 0 1 0 1 0
-1 0 1 -1 0 1 0 1
1
Generator of the Alexander module
(4t-2t^2+18t^3-12t^4+18t^5-10t^6+6t^7-2t^8,0,2t-t^2+9t^3-6t^4+9t^5-5t^6+3t^7-t^8,8-3t+2t^2-8t^3-2t^4-23t^5+6t^6-12t^7+6t^8,0,t+4t^3-t^4+2t^5-t^6,-5+2t+5t^3+2t^4+15t^5-4t^6+8t^7-4t^8,-t^2-4t^4+t^5-2t^6+t^7)
the Blanchfield form on it
x
161
First homology
of the double branched cover of 11a_302
Z/161
4 4
11a_303
1

detected by
an unknotting move
-3+15t-34t^2+45t^3-34t^4+15t^5-3t^6
Seifert matrix of 11a_303
1 0 0 0 0 0
1 1 1 0 0 0
1 0 1 0 0 0
1 1 1 -2 0 -1
1 0 1 -1 -1 0
1 1 1 -1 0 -2
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-2-7t^-1+13-7t+t^2
149
First homology
of the double branched cover of 11a_303
Z/149
0 0
11a_304
2

detected by
the signature
-3+14t-26t^2+31t^3-26t^4+14t^5-3t^6
Seifert matrix of 11a_304
-1 -1 -1 0 -1 -1
0 -1 -1 0 0 -1
0 0 -2 0 0 -1
0 -1 0 1 -1 -1
0 -1 -1 0 -1 -1
0 0 -1 0 0 -2
1
Generator of the Alexander module
(3-8t+16t^2-20t^3+16t^4-9t^5+2t^6,0,0,2-5t+11t^2-13t^3+10t^4-5t^5+t^6,0,0)
the Blanchfield form on it
x
117
First homology
of the double branched cover of 11a_304
Z/117
-4 4
11a_305
1

detected by
an unknotting move
-1+6t-16t^2+28t^3-33t^4+28t^5-16t^6+6t^7-t^8
Seifert matrix of 11a_305
1 0 1 -1 1 1 0 1
-1 -1 -1 0 0 -1 0 0
0 0 1 -1 1 1 -1 1
0 0 0 -1 0 0 0 0
0 0 0 -1 1 0 -1 0
0 0 0 -1 1 1 -1 1
0 0 0 -1 0 0 -1 0
0 0 0 -1 1 0 -1 1
1
Generator of the Alexander module
(0,-2t-t^2+t^3,-t,1+t,-1,-t,t,0)
the Blanchfield form on it
t^-1-2+t
135
First homology
of the double branched cover of 11a_305
Z/135
2 2
11a_306
2

detected by
the signature
1-5t+13t^2-21t^3+25t^4-21t^5+13t^6-5t^7+t^8
Seifert matrix of 11a_306
1 0 0 0 0 0 0 0
1 1 0 0 0 1 0 0
-1 -1 -1 0 0 -1 -1 0
0 0 0 1 0 0 0 0
0 0 0 1 1 0 0 1
1 0 0 0 0 1 0 0
-1 -1 0 -1 -1 -1 -1 -1
0 0 0 1 0 0 0 1
1
Generator of the Alexander module
(0,1,-2,0,1,0,-3,0)
the Blanchfield form on it
2t^-2-4t^-1+5-4t+2t^2
105
First homology
of the double branched cover of 11a_306
Z/105
4 4
11a_307
1

detected by
an unknotting move
2-9t+19t^2-23t^3+19t^4-9t^5+2t^6
Seifert matrix of 11a_307
1 0 0 0 0 0
1 1 0 1 0 0
-1 -1 -1 -1 -1 0
1 0 0 1 0 0
-1 -1 0 -1 -1 1
0 0 0 0 0 2
1
Generator of the Alexander module
(0,2,-3,0,-2,0)
the Blanchfield form on it
-2t^-2+9t^-1-15+9t-2t^2
83
First homology
of the double branched cover of 11a_307
Z/83
2 2
11a_308
3

detected by
the signature
-1+5t-9t^2+13t^3-15t^4+13t^5-9t^6+5t^7-t^8
Seifert matrix of 11a_308
-1 -1 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0
0 0 -1 0 0 0 -1 0
-1 -1 0 -1 -1 0 0 0
0 -1 0 0 -1 0 0 0
-1 -1 0 -1 -1 1 -1 0
0 0 0 0 0 0 -1 0
0 0 -1 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
-t^-3+5t^-2-7t^-1+7-7t+5t^2-t^3
71
First homology
of the double branched cover of 11a_308
Z/71
-6 6
11a_309
2

detected by
the signature
-2+11t-21t^2+25t^3-21t^4+11t^5-2t^6
Seifert matrix of 11a_309
-2 1 0 0 0 0
0 -1 0 0 0 0
0 0 -1 0 -1 0
1 -1 0 1 -1 0
0 0 0 0 -1 0
0 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1+t,0,t^2)
the Blanchfield form on it
-2t^-2+11t^-1-17+11t-2t^2
93
First homology
of the double branched cover of 11a_309
Z/93
-4 4
11a_310
2

detected by
the signature
-2+9t-13t^2+13t^3-13t^4+9t^5-2t^6
Seifert matrix of 11a_310
-1 -1 0 0 -1 0
0 -1 0 0 0 0
0 0 -2 0 0 0
-1 -1 0 -1 -1 0
0 -1 0 0 -1 0
-1 -1 1 -1 -1 1
1
Generator of the Alexander module
(0,0,-1-t,2t+t^2,0,2t+2t^2)
the Blanchfield form on it
-2t^-2+9t^-1-13+9t-2t^2
61
First homology
of the double branched cover of 11a_310
Z/61
-4 4
11a_311
1

detected by
an unknotting move
-4+20t-31t^2+20t^3-4t^4
Seifert matrix of 11a_311
-2 1 0 0
0 -1 0 0
0 0 -2 0
1 -1 1 1
1 or 2
79
First homology
of the double branched cover of 11a_311
Z/79
-2 2
11a_312
1

detected by
an unknotting move
3-13t+27t^2-33t^3+27t^4-13t^5+3t^6
Seifert matrix of 11a_312
-1 1 1 -1 1 1
0 2 1 0 1 1
0 2 2 0 1 2
0 0 0 -1 1 0
0 1 1 0 2 1
0 2 1 0 1 2
1 or 2
119
First homology
of the double branched cover of 11a_312
Z/119
2 2
11a_313
1

detected by
an unknotting move
5-19t+29t^2-19t^3+5t^4
Seifert matrix of 11a_313
-1 -1 1 -1
0 -1 1 0
0 0 2 -1
0 0 -1 3
1
Generator of the Alexander module
(239-66t,-447+123t+239t^2-66t^3,-184+53t-478t^2+132t^3,68-18t+239t^2-66t^3)
the Blanchfield form on it
1414953t^-4-4454218t^-3+3008857t^-2+7669373t^-1-15104086+7669373t+3008857t^2-4454218t^3+1414953t^4
77
First homology
of the double branched cover of 11a_313
Z/77
0 0
11a_314
2

detected by
the Nakanishi index
1-7t+21t^2-36t^3+41t^4-36t^5+21t^6-7t^7+t^8
Seifert matrix of 11a_314
1 0 0 0 1 0 0 1
-1 -1 -1 0 -1 -1 -1 -1
-1 0 -1 0 0 -1 0 -1
0 0 0 -1 0 0 0 0
0 0 0 -1 1 0 0 0
-1 0 0 0 0 -1 0 0
-1 0 -1 0 -1 -1 -1 -1
0 0 0 -1 1 0 0 1
2
171
First homology
of the double branched cover of 11a_314
Z/57+Z/3
-2 2
11a_315
1

detected by
an unknotting move
-1+6t-18t^2+33t^3-41t^4+33t^5-18t^6+6t^7-t^8
Seifert matrix of 11a_315
1 0 0 0 1 1 0 1
-1 -1 -1 0 -1 -1 -1 -1
-1 0 -1 0 0 -1 0 0
0 0 0 -1 0 0 0 0
0 0 0 -1 1 0 0 0
0 0 0 -1 1 1 0 1
-1 0 -1 0 -1 -1 -1 -1
0 0 0 -1 1 0 0 1
1
Generator of the Alexander module
(0,0,-2+t,0,0,0,-3+6t-4t^2+t^3,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
157
First homology
of the double branched cover of 11a_315
Z/157
0 0
11a_316
1

detected by
an unknotting move
1-5t+14t^2-25t^3+31t^4-25t^5+14t^6-5t^7+t^8
Seifert matrix of 11a_316
1 0 0 0 1 1 1 0
-1 -1 -1 0 0 -1 0 -1
-1 0 -1 0 0 -1 0 0
0 0 0 -1 0 0 0 0
0 0 0 -1 1 0 0 0
0 0 0 -1 1 1 1 0
0 0 0 -1 1 0 1 0
-1 0 -1 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,2-2t+2t^2-t^3,0,0,1,-2+2t-2t^2+t^3,0)
the Blanchfield form on it
19t^-3-69t^-2+137t^-1-163+137t-69t^2+19t^3
121
First homology
of the double branched cover of 11a_316
Z/121
0 0
11a_317
2

detected by
the Nakanishi index
-3+14t-28t^2+35t^3-28t^4+14t^5-3t^6
Seifert matrix of 11a_317
-1 -1 0 -1 1 -1
0 -1 0 -1 1 0
0 0 2 1 1 0
0 0 0 1 0 0
0 0 1 0 2 0
0 -1 0 -1 1 -1
2
125
First homology
of the double branched cover of 11a_317
Z/25+Z/5
0 2
11a_318
3

detected by
the signature
5-16t+29t^2-35t^3+29t^4-16t^5+5t^6
Seifert matrix of 11a_318
-1 0 0 0 1 -1
0 -1 -1 -1 -1 0
0 0 -2 -1 -1 -1
0 0 -2 -2 -1 -1
0 0 0 0 -2 1
0 0 -1 -1 0 -2
1 or 2
135
First homology
of the double branched cover of 11a_318
Z/135
-6 6
11a_319
3

detected by
the signature
5-15t+25t^2-29t^3+25t^4-15t^5+5t^6
Seifert matrix of 11a_319
-2 -1 -1 -1 -2 -1
0 -2 1 0 0 1
-1 0 -2 -1 -1 -2
-2 -1 -1 -2 -2 -1
-1 -1 -1 -1 -2 -1
-1 0 -1 -1 -1 -2
1 or 2
119
First homology
of the double branched cover of 11a_319
Z/119
-6 6
11a_320
2

detected by
the signature
9-27t+37t^2-27t^3+9t^4
Seifert matrix of 11a_320
-3 1 1 1
0 -2 1 1
1 0 -2 -2
1 0 -1 -2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
6t^-1-11+6t
109
First homology
of the double branched cover of 11a_320
Z/109
-4 4
11a_321
2

detected by
the Nakanishi index
-3+15t-27t^2+31t^3-27t^4+15t^5-3t^6
Seifert matrix of 11a_321
-1 0 0 -1 1 0
0 2 1 1 1 1
0 2 2 1 1 2
0 0 0 1 0 0
0 1 1 0 2 1
0 2 1 1 1 2
2
121
First homology
of the double branched cover of 11a_321
Z/11+Z/11
4 4
11a_322
2

detected by
2-13t+36t^2-49t^3+36t^4-13t^5+2t^6
Seifert matrix of 11a_322
1 0 -1 0 1 0
-1 -1 0 0 0 -1
0 0 2 1 -1 1
0 0 0 -1 0 0
0 0 0 -1 1 0
0 0 0 0 0 1
2
151
First homology
of the double branched cover of 11a_322
Z/151
2 2
11a_323
1

detected by
an unknotting move
2-9t+19t^2-23t^3+19t^4-9t^5+2t^6
Seifert matrix of 11a_323
1 0 1 1 1 0
0 -1 0 0 0 0
0 -1 1 0 0 0
0 -1 1 1 1 0
0 -1 1 0 1 0
1 0 0 1 0 -2
1
Generator of the Alexander module
(0,0,0,3-2t,0,-5+7t-2t^2)
the Blanchfield form on it
-55t^-3+248t^-2-524t^-1+634-524t+248t^2-55t^3
83
First homology
of the double branched cover of 11a_323
Z/83
2 2
11a_324
2

detected by
the Lickorish test
-5+25t-39t^2+25t^3-5t^4
Seifert matrix of 11a_324
-1 -1 1 0
0 1 0 0
0 0 2 -1
0 -1 -1 3
1
Generator of the Alexander module
(1,0,1,2)
the Blanchfield form on it
-4t^-1+5-4t
99
First homology
of the double branched cover of 11a_324
Z/99
2 2
11a_325
1

detected by
an unknotting move
-6+24t-35t^2+24t^3-6t^4
Seifert matrix of 11a_325
2 1 1 0
0 1 0 0
1 0 2 0
0 1 -1 -2
1
Generator of the Alexander module
(-2+3t-2t^2,4-20t+26t^2-16t^3,-2+6t-7t^2+4t^3,-1-2t^2+3t^3-2t^4)
the Blanchfield form on it
387t^-5-4097t^-4+18632t^-3-49320t^-2+85515t^-1-102232+85515t-49320t^2+18632t^3-4097t^4+387t^5
95
First homology
of the double branched cover of 11a_325
Z/95
2 2
11a_326
1

detected by
an unknotting move
1-6t+19t^2-36t^3+45t^4-36t^5+19t^6-6t^7+t^8
Seifert matrix of 11a_326
1 0 0 0 1 0 1 1
-1 -1 -1 0 0 -1 -1 -1
-1 0 -1 0 0 0 -1 0
0 0 0 -1 0 0 0 0
0 0 0 -1 1 0 0 0
-1 0 -1 0 0 -1 -1 -1
0 0 0 -1 1 0 1 1
0 0 0 -1 1 0 0 1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
t^-3-5t^-2+12t^-1-15+12t-5t^2+t^3
169
First homology
of the double branched cover of 11a_326
Z/169
0 0
11a_327
1

detected by
an unknotting move
3-17t+44t^2-59t^3+44t^4-17t^5+3t^6
Seifert matrix of 11a_327
-1 0 0 0 -1 0
0 -2 0 0 -1 0
0 1 1 -1 1 1
0 1 0 -1 1 0
0 -1 0 0 -2 0
1 1 0 -1 1 1
1
Generator of the Alexander module
(-7-77t+301t^2-413t^3+147t^4,5+55t-215t^2+295t^3-105t^4,1+15t-121t^2+229t^3-58t^4-249t^5+126t^6,7+77t-301t^2+413t^3-147t^4,-8-93t+533t^2-941t^3+419t^4+435t^5-252t^6,-3-33t+129t^2-177t^3+63t^4)
the Blanchfield form on it
x
187
First homology
of the double branched cover of 11a_327
Z/187
-2 2
11a_328
2

detected by
the signature
-3+16t-34t^2+43t^3-34t^4+16t^5-3t^6
Seifert matrix of 11a_328
-1 0 0 0 -1 0
0 -2 0 0 -1 0
1 1 1 -1 1 0
0 1 0 -1 1 0
0 -1 0 0 -2 0
-1 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,t,0,1,0)
the Blanchfield form on it
-3t^-2+10t^-1-14+10t-3t^2
149
First homology
of the double branched cover of 11a_328
Z/149
-4 4
11a_329
2

detected by
the signature
11-36t+51t^2-36t^3+11t^4
Seifert matrix of 11a_329
-3 0 -1 2
-1 -2 -1 1
-1 -1 -2 1
1 0 0 -2
2
145
First homology
of the double branched cover of 11a_329
Z/145
-4 4
11a_330
2

detected by
the signature
1-5t+12t^2-17t^3+19t^4-17t^5+12t^6-5t^7+t^8
Seifert matrix of 11a_330
1 0 1 0 1 1 1 1
-1 -1 -1 0 0 -1 -1 0
0 0 1 -1 1 1 0 1
0 0 0 -1 0 0 0 0
0 0 0 -1 1 0 0 0
0 0 0 -1 1 1 0 1
0 0 1 -1 1 1 1 1
0 0 0 -1 1 0 0 1
1
Generator of the Alexander module
(0,1,0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+5t^-2-12t^-1+15-12t+5t^2-t^3
89
First homology
of the double branched cover of 11a_330
Z/89
4 4
11a_331
1

detected by
an unknotting move
2-11t+27t^2-35t^3+27t^4-11t^5+2t^6
Seifert matrix of 11a_331
1 0 -1 0 1 1
-1 -1 1 0 0 0
0 0 2 1 -1 -1
0 0 0 -1 0 0
0 0 0 -1 1 0
0 0 0 -1 1 1
1
Generator of the Alexander module
(0,-3+t,1,0,1,0)
the Blanchfield form on it
-2t^-2+9t^-1-14+9t-2t^2
115
First homology
of the double branched cover of 11a_331
Z/115
2 2
11a_332
2

detected by
the Nakanishi index
1-7t+22t^2-40t^3+49t^4-40t^5+22t^6-7t^7+t^8
Seifert matrix of 11a_332
1 0 -1 0 0 0 1 0
0 -1 0 0 0 0 0 0
0 -1 -1 0 0 0 0 0
1 -1 -1 1 1 0 1 0
1 0 -1 0 1 0 1 0
-1 0 0 -1 -1 -1 0 0
0 0 0 0 0 0 1 0
-1 0 0 0 -1 -1 0 -1
2
189
First homology
of the double branched cover of 11a_332
Z/63+Z/3
0 0
11a_333
2

detected by
the Lickorish test
4-16t+25t^2-16t^3+4t^4
Seifert matrix of 11a_333
-1 1 -1 0
0 2 0 0
0 1 -1 1
0 0 0 2
1 or 2
65
First homology
of the double branched cover of 11a_333
Z/65
0 0
11a_334
4

detected by
the signature
2-4t+6t^2-8t^3+9t^4-8t^5+6t^6-4t^7+2t^8
Seifert matrix of 11a_334
-1 -1 0 0 -1 -1 0 0
0 -1 0 0 0 -1 0 0
0 0 -1 -1 0 -1 0 -1
0 0 0 -1 0 -1 0 0
0 -1 0 0 -1 -1 0 0
0 0 0 0 0 -2 0 0
0 0 -1 -1 0 -1 -1 -1
0 0 0 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
2t^-3-4t^-2+6t^-1-7+6t-4t^2+2t^3
49
First homology
of the double branched cover of 11a_334
Z/49
-8 8
11a_335
3

detected by
the signature
4-10t+15t^2-17t^3+15t^4-10t^5+4t^6
Seifert matrix of 11a_335
-1 -1 0 0 -1 -1
0 -1 0 0 0 -1
0 0 -2 1 0 1
0 0 0 -1 0 -1
0 -1 0 0 -1 -1
0 0 0 0 0 -2
1 or 2
75
First homology
of the double branched cover of 11a_335
Z/75
-6 6
11a_336
3

detected by
the signature
4-9t+11t^2-11t^3+11t^4-9t^5+4t^6
Seifert matrix of 11a_336
-1 -1 0 -1 0 -1
0 -1 0 -1 0 0
0 0 -2 0 0 0
0 0 -1 -2 0 0
-1 -1 0 -1 -1 -1
0 -1 0 -1 0 -1
1 or 2
59
First homology
of the double branched cover of 11a_336
Z/59
-6 6
11a_337
2

detected by
the signature
8-22t+29t^2-22t^3+8t^4
Seifert matrix of 11a_337
-2 1 0 1
0 -1 0 -1
0 0 -2 0
0 0 -1 -2
1 or 2
89
First homology
of the double branched cover of 11a_337
Z/89
-4 4
11a_338
4

detected by
the signature
2-5t+9t^2-12t^3+13t^4-12t^5+9t^6-5t^7+2t^8
Seifert matrix of 11a_338
-1 -1 0 -1 -1 -1 -1 0
0 -1 0 -1 0 -1 -1 0
0 0 -1 -1 0 -1 -1 0
0 0 0 -2 0 -1 -2 0
0 -1 0 -1 -1 -1 -1 0
0 0 0 -2 0 -2 -2 0
0 0 0 -1 0 -1 -2 0
0 0 -1 -1 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
2t^-3-4t^-2+6t^-1-7+6t-4t^2+2t^3
69
First homology
of the double branched cover of 11a_338
Z/69
-8 8
11a_339
3

detected by
the signature
3-7t+11t^2-13t^3+11t^4-7t^5+3t^6
Seifert matrix of 11a_339
-1 -1 0 1 -1 0
0 -1 0 1 0 0
0 0 -1 1 0 0
0 0 0 -3 0 0
0 -1 0 1 -1 0
0 0 -1 1 0 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
3t^-2-5t^-1+5-5t+3t^2
55
First homology
of the double branched cover of 11a_339
Z/55
-6 6
11a_340
3

detected by
the signature
4-11t+18t^2-21t^3+18t^4-11t^5+4t^6
Seifert matrix of 11a_340
-1 -1 0 -1 -1 0
0 -2 -1 -1 -2 0
0 0 -2 0 0 0
0 -2 -1 -2 -2 0
0 -1 -1 -1 -2 0
-1 -1 0 -1 -1 -1
2
87
First homology
of the double branched cover of 11a_340
Z/87
-6 6
11a_341
2

detected by
the signature
6-15t+19t^2-15t^3+6t^4
Seifert matrix of 11a_341
-1 1 0 0
0 -3 1 0
0 0 -2 0
-1 1 0 -1
1
Generator of the Alexander module
(0,1,0,-1+t)
the Blanchfield form on it
6t^-1-11+6t
61
First homology
of the double branched cover of 11a_341
Z/61
-4 4
11a_342
2

detected by
the signature
4-7t+7t^2-7t^3+4t^4
Seifert matrix of 11a_342
-1 -1 -1 -1
0 -1 0 -1
0 -1 -1 -1
0 0 0 -4
1
Generator of the Alexander module
(-t,1,2,1)
the Blanchfield form on it
8t^-1-13+8t
29
First homology
of the double branched cover of 11a_342
Z/29
-4 4
11a_343
1

detected by
an unknotting move
8-15t+8t^2
Seifert matrix of 11a_343
-2 0
-1 -4
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
-2t^-1+4-2t
31
First homology
of the double branched cover of 11a_343
Z/31
-2 2
11a_344
2

detected by
the signature
-3+15t-29t^2+35t^3-29t^4+15t^5-3t^6
Seifert matrix of 11a_344
-1 0 0 0 -1 0
0 -2 0 0 -1 0
0 1 1 -1 0 0
0 1 0 -1 1 0
0 -1 0 0 -2 0
-1 0 0 0 -1 -1
1 or 2
129
First homology
of the double branched cover of 11a_344
Z/129
-4 4
11a_345
1

detected by
an unknotting move
-5+23t-35t^2+23t^3-5t^4
Seifert matrix of 11a_345
-3 1 0 0
1 -2 0 0
0 1 1 -1
-1 1 0 -1
1
Generator of the Alexander module
(0,-1,t,3-2t)
the Blanchfield form on it
-30t^-1+53-30t
91
First homology
of the double branched cover of 11a_345
Z/91
-2 2
11a_346
2

detected by
the signature
-1+5t-12t^2+18t^3-21t^4+18t^5-12t^6+5t^7-t^8
Seifert matrix of 11a_346
-1 0 -1 -1 -1 0 -1 0
-1 -1 -1 -1 -1 0 -1 0
0 0 -1 -1 -1 -1 -1 0
0 0 0 -1 -1 -1 0 0
0 0 0 0 -1 -1 0 0
0 0 0 0 0 1 0 0
0 0 0 -1 -1 -1 -1 0
-1 0 -1 -1 0 0 -1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,-t)
the Blanchfield form on it
t^-2-2t^-1+2-2t+t^2
93
First homology
of the double branched cover of 11a_346
Z/93
-4 4
11a_347
2

detected by
the Lickorish test
2-11t+26t^2-33t^3+26t^4-11t^5+2t^6
Seifert matrix of 11a_347
-1 0 -1 0 1 0
-1 -1 -1 0 1 0
0 0 -1 -1 0 0
0 0 0 1 0 0
0 0 1 1 -2 0
-1 0 0 0 1 1
2
111
First homology
of the double branched cover of 11a_347
Z/111
-2 2
11a_348
2

detected by
the signature
1-7t+19t^2-29t^3+33t^4-29t^5+19t^6-7t^7+t^8
Seifert matrix of 11a_348
1 0 0 0 0 -1 1 0
-1 -1 0 -1 -1 0 -1 -1
0 0 -1 0 0 -1 0 0
-1 0 0 -1 -1 0 0 -1
-1 0 0 0 -1 0 0 0
0 0 0 0 0 -1 0 0
0 0 -1 0 0 -1 1 0
-1 0 0 0 -1 0 0 -1
1
Generator of the Alexander module
(0,3+3t-t^2+6t^3-5t^4+t^5,-t+t^2-3t^3+t^4,-1+t-3t^2+t^3,2t-2t^2+6t^3-2t^4,0,0,-2t^2+2t^3-6t^4+2t^5)
the Blanchfield form on it
x
145
First homology
of the double branched cover of 11a_348
Z/145
-4 4
11a_349
1

detected by
an unknotting move
2-14t+37t^2-49t^3+37t^4-14t^5+2t^6
Seifert matrix of 11a_349
1 0 0 -1 1 0
-1 -1 0 0 -1 1
0 0 -1 -1 0 0
0 0 0 -1 0 0
0 0 -1 -1 1 0
1 0 0 0 0 -2
1
Generator of the Alexander module
(0,-5+4t+45t^2+102t^3-123t^4+40t^5-4t^6,3+8t+6t^2-39t^3+24t^4-4t^5,0,-5+4t+30t^2+38t^3-40t^4+8t^5,15t+15t^2-80t^3-72t^4+80t^5-16t^6)
the Blanchfield form on it
x
155
First homology
of the double branched cover of 11a_349
Z/155
-2 2
11a_350
1

detected by
an unknotting move
1-7t+21t^2-39t^3+49t^4-39t^5+21t^6-7t^7+t^8
Seifert matrix of 11a_350
1 0 0 1 0 -1 1 1
-1 -1 0 0 -1 0 0 -1
0 0 -1 0 0 -1 0 0
0 0 -1 1 0 -1 1 0
-1 0 0 0 -1 0 0 0
0 0 0 0 0 -1 0 0
0 0 -1 0 0 -1 1 0
0 0 -1 1 0 -1 1 1
1
Generator of the Alexander module
(0,-2+t,0,0,3-5t+4t^2-t^3,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-7t^-1+10-7t+4t^2-t^3
185
First homology
of the double branched cover of 11a_350
Z/185
0 0
11a_351
1

detected by
an unknotting move
1-7t+20t^2-34t^3+41t^4-34t^5+20t^6-7t^7+t^8
Seifert matrix of 11a_351
1 0 1 0 0 -1 1 1
-1 -1 -1 0 -1 0 -1 -1
0 0 1 -1 0 -1 1 0
0 0 0 -1 0 -1 0 0
-1 0 0 0 -1 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 -1 0 -1 1 0
0 0 1 -1 0 -1 1 1
1
Generator of the Alexander module
(0,0,0,0,5-14t+14t^2-6t^3+t^4,0,2-t,0)
the Blanchfield form on it
3t^-3-14t^-2+22t^-1-17+22t-14t^2+3t^3
165
First homology
of the double branched cover of 11a_351
Z/165
0 2
11a_352
2

detected by
the Nakanishi index
2-13t+32t^2-41t^3+32t^4-13t^5+2t^6
Seifert matrix of 11a_352
1 0 -1 0 0 -1
-1 -1 1 0 -1 0
0 0 2 1 0 1
0 0 0 -1 0 -1
-1 0 0 0 -1 0
0 0 0 0 0 -1
2
135
First homology
of the double branched cover of 11a_352
Z/45+Z/3
-2 2
11a_353
3

detected by
the signature
5-15t+26t^2-31t^3+26t^4-15t^5+5t^6
Seifert matrix of 11a_353
-1 -1 0 0 -1 0
0 -2 1 0 0 1
0 0 -2 0 -1 -2
-1 -1 0 -1 -1 0
0 -1 -1 0 -2 -1
0 0 -1 0 -1 -2
1 or 2
123
First homology
of the double branched cover of 11a_353
Z/123
-6 6
11a_354
2

detected by
the signature
9-26t+35t^2-26t^3+9t^4
Seifert matrix of 11a_354
-3 0 1 1
-1 -1 1 1
1 0 -2 -1
1 0 0 -2
2
105
First homology
of the double branched cover of 11a_354
Z/105
-4 4
11a_355
4

detected by
the signature
2-4t+6t^2-7t^3+7t^4-7t^5+6t^6-4t^7+2t^8
Seifert matrix of 11a_355
-1 -1 -1 0 -1 -1 -1 0
0 -1 -1 0 0 -1 -1 0
0 0 -1 0 0 0 -1 0
0 0 0 -1 0 0 -1 0
0 -1 -1 0 -1 -1 -1 0
0 0 -1 0 0 -1 -1 0
0 0 0 0 0 0 -2 0
0 0 0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
2t^-3-4t^-2+6t^-1-7+6t-4t^2+2t^3
45
First homology
of the double branched cover of 11a_355
Z/45
-8 8
11a_356
3

detected by
the signature
4-10t+16t^2-19t^3+16t^4-10t^5+4t^6
Seifert matrix of 11a_356
-1 1 -1 0 -1 0
0 -2 1 0 1 0
0 0 -1 0 -1 0
0 0 0 -1 -1 0
0 0 0 0 -2 0
0 0 0 -1 -1 -1
1 or 2
79
First homology
of the double branched cover of 11a_356
Z/79
-6 6
11a_357
3

detected by
the signature
4-11t+19t^2-23t^3+19t^4-11t^5+4t^6
Seifert matrix of 11a_357
-1 0 -1 0 0 0
0 -1 0 0 -1 0
0 0 -2 0 0 0
-1 0 -1 -1 0 0
0 0 -1 0 -2 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
4t^-2-9t^-1+11-9t+4t^2
91
First homology
of the double branched cover of 11a_357
Z/91
-6 6
11a_358
3

detected by
the signature
3-5t+5t^2-5t^3+5t^4-5t^5+3t^6
Seifert matrix of 11a_358
-1 -1 -1 1 -1 -1
0 -1 -1 1 0 -1
0 0 -1 1 0 0
0 0 0 -3 0 0
0 -1 -1 1 -1 -1
0 0 -1 1 0 -1
1
Generator of the Alexander module
(t^2+t^3,t^2-5t^3,1-t-t^2,-t+t^2,-t-t^2,-t)
the Blanchfield form on it
-103t^-3+231t^-2-314t^-1+346-314t+231t^2-103t^3
31
First homology
of the double branched cover of 11a_358
Z/31
-6 6
11a_359
2

detected by
the signature
6-13t+15t^2-13t^3+6t^4
Seifert matrix of 11a_359
-1 1 -1 1
0 -2 1 -1
0 0 -1 1
0 0 0 -3
1
Generator of the Alexander module
(-1-2t-2t^2+57t^3-128t^4+122t^5-38t^6-164t^7+334t^8-328t^9+232t^10-96t^11,0,0,-2-7t-18t^2+78t^3-212t^4+334t^5-328t^6+232t^7-96t^8)
the Blanchfield form on it
x
53
First homology
of the double branched cover of 11a_359
Z/53
-4 4
11a_360
2

detected by
the signature
6-14t+17t^2-14t^3+6t^4
Seifert matrix of 11a_360
-1 0 -1 0
0 -3 1 0
0 0 -2 0
-1 0 -1 -1
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
-2t^-2+5t^-1-6+5t-2t^2
57
First homology
of the double branched cover of 11a_360
Z/57
-4 4
11a_361
2

detected by
the signature
7-17t+21t^2-17t^3+7t^4
Seifert matrix of 11a_361
-3 0 -1 0
1 -1 1 0
-2 0 -3 0
1 -1 1 -1
1 or 2
69
First homology
of the double branched cover of 11a_361
Z/69
-4 4
11a_362
1

detected by
an unknotting move
10-19t+10t^2
Seifert matrix of 11a_362
-3 -2
-1 -4
1
Generator of the Alexander module
(-2+3t,-3+4t)
the Blanchfield form on it
35t^-2-142t^-1+214-142t+35t^2
39
First homology
of the double branched cover of 11a_362
Z/39
-2 2
11a_363
2

detected by
the Lickorish test
9-17t+9t^2
Seifert matrix of 11a_363
-3 0
-1 -3
1
Generator of the Alexander module
(0,1)
the Blanchfield form on it
-3t^-1+6-3t
35
First homology
of the double branched cover of 11a_363
Z/35
-2 2
11a_364
4

detected by
the signature
2-3t+3t^2-3t^3+3t^4-3t^5+3t^6-3t^7+2t^8
Seifert matrix of 11a_364
-1 -1 -1 -1 -1 -1 -1 -1
0 -1 -1 -1 0 -1 -1 -1
0 0 -1 -1 0 0 -1 -1
0 0 0 -1 0 0 0 -1
0 -1 -1 -1 -1 -1 -1 -1
0 0 -1 -1 0 -1 -1 -1
0 0 0 -1 0 0 -1 -1
0 0 0 0 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
2t^-3-3t^-2+3t^-1-3+3t-3t^2+2t^3
25
First homology
of the double branched cover of 11a_364
Z/25
-8 8
11a_365
3

detected by
the signature
4-8t+9t^2-9t^3+9t^4-8t^5+4t^6
Seifert matrix of 11a_365
-1 -1 1 -1 -1 -1
0 -1 1 -1 0 -1
0 0 -2 1 0 1
0 0 0 -1 0 -1
0 -1 1 -1 -1 -1
0 0 0 0 0 -2
1 or 2
51
First homology
of the double branched cover of 11a_365
Z/51
-6 6
11a_366
2

detected by
the Nakanishi index
8-20t+25t^2-20t^3+8t^4
Seifert matrix of 11a_366
-2 1 1 1
0 -1 -1 -1
0 0 -2 0
0 0 -1 -2
2
81
First homology
of the double branched cover of 11a_366
Z/27+Z/3
-4 4
11a_367
5

detected by
the signature
1-t+t^2-t^3+t^4-t^5+t^6-t^7+t^8-t^9+t^10
Seifert matrix of 11a_367
-1 -1 -1 -1 -1 0 -1 -1 -1 -1
0 -1 -1 -1 -1 0 0 -1 -1 -1
0 0 -1 -1 -1 0 0 0 -1 -1
0 0 0 -1 -1 0 0 0 0 -1
0 0 0 0 -1 0 0 0 0 0
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1
0 -1 -1 -1 -1 0 -1 -1 -1 -1
0 0 -1 -1 -1 0 0 -1 -1 -1
0 0 0 -1 -1 0 0 0 -1 -1
0 0 0 0 -1 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-4-t^-3+t^-2-t^-1+1-t+t^2-t^3+t^4
11
First homology
of the double branched cover of 11a_367
Z/11
-10 10
11n_1
1

detected by
an unknotting move
-1+7t-11t^2+7t^3-t^4
Seifert matrix of 11n_1
1 0 0 0
1 1 -1 1
1 -1 0 0
0 0 0 1
1
Generator of the Alexander module
(0,-2,1,0)
the Blanchfield form on it
t^-1-5+t
27
First homology
of the double branched cover of 11n_1
Z/27
2 2
11n_2
2

detected by
the signature
-2+8t-12t^2+13t^3-12t^4+8t^5-2t^6
Seifert matrix of 11n_2
1 0 0 0 0 0
-1 -1 0 -1 0 1
0 0 -1 0 0 0
-1 0 -1 -1 0 1
0 0 0 0 -1 -1
1 0 1 0 0 -2
1
Generator of the Alexander module
(0,0,0,0,-t,1)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
57
First homology
of the double branched cover of 11n_2
Z/57
-4 4
11n_3
1

detected by
an unknotting move
-3+11t-15t^2+11t^3-3t^4
Seifert matrix of 11n_3
1 0 0 0
1 1 -1 1
1 -1 -2 0
0 0 0 1
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
-2t^-2+9t^-1-14+9t-2t^2
43
First homology
of the double branched cover of 11n_3
Z/43
2 2
11n_4
1

detected by
an unknotting move
-1+5t-11t^2+15t^3-11t^4+5t^5-t^6
Seifert matrix of 11n_4
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 -1 -1 -1 -1
1 0 0 0 -1 -1
1 0 0 -1 -2 -1
1 0 0 0 -1 0
1
Generator of the Alexander module
(0,0,-t,1,1,1)
the Blanchfield form on it
-t^-1+3-t
49
First homology
of the double branched cover of 11n_4
Z/49
0 0
11n_5
1

detected by
an unknotting move
1-7t+17t^2-21t^3+17t^4-7t^5+t^6
Seifert matrix of 11n_5
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 -1 -1 -1 -1
1 0 0 -2 -1 -2
1 0 0 -1 0 -1
1 0 0 -1 -1 -2
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-1+3-t
71
First homology
of the double branched cover of 11n_5
Z/71
-2 2
11n_6
1

detected by
an unknotting move
-1+3t-3t^2+3t^3-3t^4+3t^5-t^6
Seifert matrix of 11n_6
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 -1 -1 -1 -1
1 0 0 0 -1 -1
1 0 0 -1 0 -1
1 0 0 0 -1 0
1
Generator of the Alexander module
(0,0,-t,-t,1,0)
the Blanchfield form on it
t^-1-2+t
17
First homology
of the double branched cover of 11n_6
Z/17
0 2
11n_7
1

detected by
an unknotting move
1-6t+16t^2-21t^3+16t^4-6t^5+t^6
Seifert matrix of 11n_7
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 1 0 0 0
1 0 1 -1 0 -1
1 0 1 0 -1 0
1 0 1 0 0 -1
1
Generator of the Alexander module
(0,0,0,-t,t,1)
the Blanchfield form on it
t^-2-5t^-1+10-5t+t^2
67
First homology
of the double branched cover of 11n_7
Z/67
-2 2
11n_8
2

detected by
the signature
-1+6t-12t^2+15t^3-12t^4+6t^5-t^6
Seifert matrix of 11n_8
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 1 0 0 0
1 0 1 1 0 0
1 0 1 0 1 0
1 0 1 1 0 1
1
Generator of the Alexander module
(0,2-2t+2t^2-t^3,0,-5+8t-9t^2+7t^3-3t^4+t^5,0,0)
the Blanchfield form on it
2t^-2-9t^-1+9-9t+2t^2
53
First homology
of the double branched cover of 11n_8
Z/53
4 4
11n_9
2

detected by
the signature
-1+3t-t^2-4t^3+7t^4-4t^5-t^6+3t^7-t^8
Seifert matrix of 11n_9
-1 -1 -1 -1 0 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
0 -1 0 -1 -1 -1 0 -1
0 -1 0 -1 0 -1 0 0
0 0 0 0 -1 -1 -1 -1
0 -1 0 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,1,-t,1)
the Blanchfield form on it
-t^-3+4t^-2-7t^-1+9-7t+4t^2-t^3
5
First homology
of the double branched cover of 11n_9
Z/5
-4 4
11n_10
2

detected by
the signature
-1+7t-15t^2+19t^3-15t^4+7t^5-t^6
Seifert matrix of 11n_10
1 1 0 -1 0 1
0 -2 2 1 0 -1
0 0 1 0 0 0
0 1 -1 0 0 0
1 1 0 -1 1 1
0 -2 1 1 0 0
1
Generator of the Alexander module
(0,1-2t-2t^2,-1-t,t+t^2,-t+2t^2,-1-3t-2t^2-t^3)
the Blanchfield form on it
2t^-2-11t^-1+12-11t+2t^2
65
First homology
of the double branched cover of 11n_10
Z/65
4 4
11n_11
2

detected by
the Lickorish test
1-5t+13t^2-17t^3+13t^4-5t^5+t^6
Seifert matrix of 11n_11
-2 -3 -1 -4 -1 -1
-1 -2 -1 -3 -1 -1
0 0 1 0 0 0
-2 -5 -1 -6 -2 -2
0 0 0 0 -1 0
0 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-2-4t^-1+8-4t+t^2
55
First homology
of the double branched cover of 11n_11
Z/55
-2 2
11n_12
1

detected by
an unknotting move
1-3t+5t^2-3t^3+t^4
Seifert matrix of 11n_12
-5 -3 -1 -7
-2 -1 -1 -3
0 0 1 0
-6 -4 -1 -9
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
t^-1-1+t
13
First homology
of the double branched cover of 11n_12
Z/13
0 0
11n_13
3

detected by
the signature
-1+3t-2t^2+t^3-t^4+t^5-2t^6+3t^7-t^8
Seifert matrix of 11n_13
-1 -1 -1 0 -1 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 -1 0 -1 0 -1
0 -1 -1 0 -1 0 0 0
0 -1 0 0 -1 -1 0 0
0 0 0 -1 0 -1 -1 -1
0 0 0 0 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+3t^-2-2t^-1+1-2t+3t^2-t^3
15
First homology
of the double branched cover of 11n_13
Z/15
-6 6
11n_14
2

detected by
the signature
-1+6t-10t^2+11t^3-10t^4+6t^5-t^6
Seifert matrix of 11n_14
0 2 -1 0 -1 0
1 1 1 0 0 0
0 0 1 0 0 0
1 1 0 1 0 1
0 1 -1 0 0 0
1 1 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-2-6t^-1+9-6t+t^2
45
First homology
of the double branched cover of 11n_14
Z/45
4 4
11n_15
2

detected by
the Lickorish test
1-4t+8t^2-9t^3+8t^4-4t^5+t^6
Seifert matrix of 11n_15
-1 0 0 -1 0 -1
0 0 0 0 -1 0
0 0 1 0 0 0
0 0 0 -1 0 -1
0 -1 1 0 -2 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-2-4t^-1+7-4t+t^2
35
First homology
of the double branched cover of 11n_15
Z/35
-2 2
11n_16
2

detected by
the signature
-2+7t-7t^2+5t^3-7t^4+7t^5-2t^6
Seifert matrix of 11n_16
-1 -1 -1 0 -1 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 0 0 -2 0 1
0 -1 -1 0 -1 0
0 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-3-4t^-2+5t^-1-4+5t-4t^2+t^3
37
First homology
of the double branched cover of 11n_16
Z/37
-4 4
11n_17
1

detected by
an unknotting move
-2+12t-19t^2+12t^3-2t^4
Seifert matrix of 11n_17
0 1 -1 0
1 -2 2 -1
0 0 1 0
1 -2 1 1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-t^-2+6t^-1-10+6t-t^2
47
First homology
of the double branched cover of 11n_17
Z/47
2 2
11n_18
1

detected by
an unknotting move
2-8t+13t^2-8t^3+2t^4
Seifert matrix of 11n_18
-5 -3 1 -7
-4 -2 1 -6
0 0 1 0
-8 -5 1 -12
1
Generator of the Alexander module
(1,1,0,2)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
33
First homology
of the double branched cover of 11n_18
Z/33
0 0
11n_19
2

detected by
the signature
-1+2t-t^3+2t^5-t^6
Seifert matrix of 11n_19
1 0 0 0 0 0
-1 0 1 0 -1 0
1 1 -2 1 1 1
-1 -1 1 0 -1 0
-1 0 1 0 0 0
-1 -1 1 -1 -1 0
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-2-2t^-1+1-2t+t^2
5
First homology
of the double branched cover of 11n_19
Z/5
4 4
11n_20
1

detected by
an unknotting move
-2+6t-7t^2+6t^3-2t^4
Seifert matrix of 11n_20
1 0 0 0
-1 0 1 0
1 1 -2 -1
1 1 -1 1
1
Generator of the Alexander module
(0,t,-t,1)
the Blanchfield form on it
t^-1-2+t
23
First homology
of the double branched cover of 11n_20
Z/23
2 2
11n_21
1

detected by
an unknotting move
-1+5t-11t^2+15t^3-11t^4+5t^5-t^6
Seifert matrix of 11n_21
1 0 0 0 0 0
0 -1 0 0 0 0
0 -1 -2 -1 -2 -2
0 -1 -1 0 -1 -1
0 -1 -1 -1 -2 -1
1 -1 -1 -1 -1 0
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-1-1+t
49
First homology
of the double branched cover of 11n_21
Z/49
0 0
11n_22
1

detected by
an unknotting move
1-5t+13t^2-17t^3+13t^4-5t^5+t^6
Seifert matrix of 11n_22
-1 0 0 0 0 -1
0 -1 0 0 0 0
0 -1 -2 1 1 0
0 0 1 0 0 1
0 0 1 -1 0 1
0 0 0 0 0 -1
1
Generator of the Alexander module
(-1,0,t,1,-1,-1)
the Blanchfield form on it
-t^-2+5t^-1-7+5t-t^2
55
First homology
of the double branched cover of 11n_22
Z/55
-2 2
11n_23
2

detected by
the signature
-1+3t-5t^2+4t^3-3t^4+4t^5-5t^6+3t^7-t^8
Seifert matrix of 11n_23
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 0 0
-1 -1 0 -1 0 0 1 0
0 0 -1 -1 -1 -1 0 0
-1 -1 0 -1 0 -1 1 0
0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+2t^-2-3t^-1+3-3t+2t^2-t^3
29
First homology
of the double branched cover of 11n_23
Z/29
-4 4
11n_24
1

detected by
an unknotting move
1-3t+5t^2-5t^3+5t^4-3t^5+t^6
Seifert matrix of 11n_24
0 0 0 -1 0 1
0 -1 0 0 0 0
0 -1 -1 -2 -1 0
-1 -1 -1 0 -1 -1
0 -1 -1 -1 0 0
0 0 0 -1 0 0
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-t^-1+1-t
23
First homology
of the double branched cover of 11n_24
Z/23
-2 2
11n_25
1

detected by
an unknotting move
1-5t+11t^2-13t^3+11t^4-5t^5+t^6
Seifert matrix of 11n_25
0 0 0 -1 0 1
0 -1 0 0 0 0
0 -1 -2 -2 -1 0
-1 -1 -1 0 -1 -1
0 -1 -1 -1 0 0
0 0 0 -1 0 0
1
Generator of the Alexander module
(0,0,1,0,1,0)
the Blanchfield form on it
-t^-1+2-t
47
First homology
of the double branched cover of 11n_25
Z/47
-2 2
11n_26
1

detected by
an unknotting move
-1+5t-9t^2+11t^3-9t^4+5t^5-t^6
Seifert matrix of 11n_26
0 0 1 0 0 -1
0 -1 0 0 0 0
1 -1 -2 0 1 1
-1 0 0 -1 -1 -1
-1 0 1 0 0 -1
0 0 1 0 0 0
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-2-6t^-1+9-6t+t^2
41
First homology
of the double branched cover of 11n_26
Z/41
0 2
11n_27
3

detected by
the signature
1-3t+3t^2-2t^3+t^4-2t^5+3t^6-3t^7+t^8
Seifert matrix of 11n_27
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 0 -1 -1 -1
0 0 0 1 0 -1 -1 -1
0 0 -1 0 -1 -1 -1 -1
-1 -1 0 0 0 -1 -1 -1
-1 -1 0 0 0 0 -1 0
-1 -1 0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-2t^-2+3t^-1-3+3t-2t^2+t^3
19
First homology
of the double branched cover of 11n_27
Z/19
-6 6
11n_28
1

detected by
an unknotting move
1-5t+9t^2-5t^3+t^4
Seifert matrix of 11n_28
-3 -2 -2 0
-3 -3 -2 0
-2 -2 -1 0
-1 -1 -1 1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
-1
21
First homology
of the double branched cover of 11n_28
Z/21
0 0
11n_29
2

detected by
the Lickorish test
-3+13t-19t^2+13t^3-3t^4
Seifert matrix of 11n_29
1 0 -1 0
0 -1 0 0
-1 -1 -2 0
1 0 0 -1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
2t^-1-3+2t
51
First homology
of the double branched cover of 11n_29
Z/51
-2 2
11n_30
2

detected by
the signature
-2+6t-6t^2+5t^3-6t^4+6t^5-2t^6
Seifert matrix of 11n_30
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 0 0 1
0 0 0 1 0 1
0 0 -1 0 -1 1
1 1 0 0 0 -2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+t^-1-1+t-t^2
33
First homology
of the double branched cover of 11n_30
Z/33
-4 4
11n_31
1

detected by
an unknotting move
-1+2t+2t^2-5t^3+2t^4+2t^5-t^6
Seifert matrix of 11n_31
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 -1 0 0
0 0 0 -1 0 0
-1 -1 0 -1 -1 -1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,1,0,0,1,0)
the Blanchfield form on it
1
3
First homology
of the double branched cover of 11n_31
Z/3
-2 2
11n_32
1

detected by
an unknotting move
-1+6t-16t^2+23t^3-16t^4+6t^5-t^6
Seifert matrix of 11n_32
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 1 -1 0 0
0 0 0 1 0 0
-1 -1 0 -1 1 -1
0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,-1,0,1,0)
the Blanchfield form on it
-t^-2+3t^-1-6+3t-t^2
69
First homology
of the double branched cover of 11n_32
Z/69
0 0
11n_33
2

detected by
the Lickorish test
1-6t+12t^2-13t^3+12t^4-6t^5+t^6
Seifert matrix of 11n_33
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 -1 0 0
0 0 0 1 0 0
-1 -1 0 -1 -1 -1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-2-3t^-1+3-3t+t^2
51
First homology
of the double branched cover of 11n_33
Z/51
-2 2
11n_34
0

detected by
1
Seifert matrix of 11n_34
trivial
0
1
First homology
of the double branched cover of 11n_34
trivial
0 0
11n_35
2

detected by
the signature
-2+10t-20t^2+25t^3-20t^4+10t^5-2t^6
Seifert matrix of 11n_35
-2 -1 -3 -1 -1 -1
-2 -2 -3 -1 -1 -1
-1 -1 -6 -2 -2 -3
0 0 -1 -1 0 -1
-1 -1 -4 -1 -2 -2
0 0 -3 -1 -1 -1
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
-t^-2+4t^-1-5+4t-t^2
89
First homology
of the double branched cover of 11n_35
Z/89
-4 4
11n_36
1

detected by
an unknotting move
1-4t+8t^2-13t^3+15t^4-13t^5+8t^6-4t^7+t^8
Seifert matrix of 11n_36
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 0 0 -1 0
0 0 -1 1 0 1 -1 1
0 0 -1 0 -1 0 -1 0
0 0 0 0 0 1 0 0
-1 -1 0 0 0 0 -1 0
0 0 -1 0 0 1 0 1
1
Generator of the Alexander module
(0,0,0,1,1,0,0,0)
the Blanchfield form on it
-t^-3+4t^-2-6t^-1+6-6t+4t^2-t^3
67
First homology
of the double branched cover of 11n_36
Z/67
-2 2
11n_37
2

detected by
the Lickorish test
-1+3t-5t^2+7t^3-5t^4+3t^5-t^6
Seifert matrix of 11n_37
-1 -1 0 0 -1 0
0 0 0 0 -1 0
0 0 1 0 0 1
0 0 0 -1 -1 0
0 -1 1 0 0 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-1-1+t
25
First homology
of the double branched cover of 11n_37
Z/25
0 0
11n_38
1

detected by
an unknotting move
-1+t+t^2+t^3-t^4
Seifert matrix of 11n_38
-1 -1 1 0
0 0 1 0
0 1 1 0
0 0 1 -1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
1
3
First homology
of the double branched cover of 11n_38
Z/3
-2 2
11n_39
1

detected by
an unknotting move
2-6t+9t^2-6t^3+2t^4
Seifert matrix of 11n_39
1 0 0 0
1 -2 -1 -2
0 0 0 -1
1 0 -1 -2
1
Generator of the Alexander module
(0,1,0,1)
the Blanchfield form on it
t^-1-2+t
25
First homology
of the double branched cover of 11n_39
Z/25
0 0
11n_40
1

detected by
an unknotting move
2-8t+18t^2-23t^3+18t^4-8t^5+2t^6
Seifert matrix of 11n_40
-2 -1 0 -1 0 0
-2 -2 0 -1 0 0
1 1 0 0 0 1
-1 -1 -1 -2 -1 0
0 0 -1 -1 0 0
-1 -1 0 -1 0 -1
1
Generator of the Alexander module
(0,0,0,1,1,0)
the Blanchfield form on it
-t^-1+2-t
79
First homology
of the double branched cover of 11n_40
Z/79
-2 2
11n_41
2

detected by
the signature
-1+4t-8t^2+9t^3-9t^4+9t^5-8t^6+4t^7-t^8
Seifert matrix of 11n_41
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 0 1 0 0
0 0 -1 -1 -1 0 -1 0
-1 -1 -1 0 -1 1 0 1
0 0 0 0 0 1 0 1
-1 -1 -1 0 -1 1 -1 1
0 0 0 0 0 0 0 1
1
Generator of the Alexander module
(-2+2t+2t^2+2t^3-2t^4,-1+2t^3-t^4,-1+t+t^2+t^3-t^4,-t^2-t^3+t^4,t+t^2-t^3,t^2+t^3-t^4,1+3t+t^2-2t^3,0)
the Blanchfield form on it
-14t^-3+123t^-2-286t^-1+361-286t+123t^2-14t^3
53
First homology
of the double branched cover of 11n_41
Z/53
-4 4
11n_42
0

detected by
1
Seifert matrix of 11n_42
trivial
0
1
First homology
of the double branched cover of 11n_42
trivial
0 0
11n_43
2

detected by
the signature
-2+10t-20t^2+25t^3-20t^4+10t^5-2t^6
Seifert matrix of 11n_43
-2 -1 0 -1 -1 0
-2 -2 0 -1 -1 0
0 0 0 -1 -1 0
-1 -1 -1 -2 -1 0
0 0 0 0 -1 0
-1 -1 0 -1 -1 -1
1
Generator of the Alexander module
(0,0,1,0,0,t)
the Blanchfield form on it
2t^-1-3+2t
89
First homology
of the double branched cover of 11n_43
Z/89
-4 4
11n_44
1

detected by
an unknotting move
1-4t+8t^2-13t^3+15t^4-13t^5+8t^6-4t^7+t^8
Seifert matrix of 11n_44
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 0 1 0 1
0 0 -1 -1 0 0 -1 0
0 0 0 0 1 0 0 0
0 0 0 0 1 1 0 1
-1 -1 -1 0 1 1 -1 1
0 0 0 0 1 0 0 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
t^-3-4t^-2+7t^-1-9+7t-4t^2+t^3
67
First homology
of the double branched cover of 11n_44
Z/67
-2 2
11n_45
1

detected by
an unknotting move
2-6t+9t^2-6t^3+2t^4
Seifert matrix of 11n_45
0 1 0 1
0 -1 1 -1
0 0 1 -2
1 -2 -1 -2
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
t^-1-2+t
25
First homology
of the double branched cover of 11n_45
Z/25
0 0
11n_46
1

detected by
an unknotting move
2-8t+18t^2-23t^3+18t^4-8t^5+2t^6
Seifert matrix of 11n_46
-2 -1 0 0 0 1
-2 -2 0 0 0 1
0 0 2 1 0 2
0 0 1 0 0 1
0 0 1 1 -1 0
0 0 0 0 0 1
1
Generator of the Alexander module
(-3+2t,0,0,0,-2+t,0)
the Blanchfield form on it
4t^-2-10t^-1+17-10t+4t^2
79
First homology
of the double branched cover of 11n_46
Z/79
-2 2
11n_47
2

detected by
the signature
-1+4t-8t^2+9t^3-9t^4+9t^5-8t^6+4t^7-t^8
Seifert matrix of 11n_47
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 0 0 -1 -1
0 0 -1 1 0 1 -1 -1
0 0 -1 0 -1 0 -1 -1
0 0 -1 0 0 1 0 0
-1 -1 0 0 0 0 -1 0
-1 -1 0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,-t,-t,1,0,0)
the Blanchfield form on it
t^-3-2t^-2+2t^-1-2+2t-2t^2+t^3
53
First homology
of the double branched cover of 11n_47
Z/53
-4 4
11n_48
1

detected by
an unknotting move
-1+3t-6t^2+9t^3-6t^4+3t^5-t^6
Seifert matrix of 11n_48
2 1 0 0 1 0
1 0 0 0 1 0
0 1 -1 0 0 1
1 1 0 1 1 1
0 0 0 0 1 0
1 0 0 0 1 -1
1
Generator of the Alexander module
(0,1,t,-t,0,1)
the Blanchfield form on it
-t^-1+2-t
29
First homology
of the double branched cover of 11n_48
Z/29
0 0
11n_49
2

detected by
A(F_2)
-1+3t^2-t^4
Seifert matrix of 11n_49
3 2 0 1
2 1 0 1
0 1 -1 1
2 1 0 0
2
1
First homology
of the double branched cover of 11n_49
0
0 0
11n_50
1

detected by
an unknotting move
2-6t+9t^2-6t^3+2t^4
Seifert matrix of 11n_50
0 1 0 0
2 3 0 2
-1 0 -1 -1
0 0 0 1
1
Generator of the Alexander module
(0,-2,1,0)
the Blanchfield form on it
t^-1-2+t
25
First homology
of the double branched cover of 11n_50
Z/25
0 0
11n_51
1

detected by
an unknotting move
-1+4t-6t^2+7t^3-6t^4+4t^5-t^6
Seifert matrix of 11n_51
-1 -1 0 -1 -1 -1
0 0 0 -1 -1 -1
0 0 -1 0 0 0
0 -1 0 -2 -1 -1
0 0 -1 -1 0 -1
0 0 0 -1 0 0
1
Generator of the Alexander module
(t,0,0,1,0,0)
the Blanchfield form on it
-t^-2+2t^-1+2t-t^2
29
First homology
of the double branched cover of 11n_51
Z/29
0 2
11n_52
1

detected by
an unknotting move
1-6t+14t^2-17t^3+14t^4-6t^5+t^6
Seifert matrix of 11n_52
-1 -1 0 -1 -1 -1
0 -2 0 -1 -2 -2
0 0 1 0 0 0
0 -1 0 0 -1 -1
0 -1 -1 -1 -2 -2
0 -1 0 -1 -1 -2
1
Generator of the Alexander module
(-t,0,0,1,0,0)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
59
First homology
of the double branched cover of 11n_52
Z/59
-2 2
11n_53
1

detected by
an unknotting move
-1+4t-8t^2+11t^3-8t^4+4t^5-t^6
Seifert matrix of 11n_53
-1 -1 0 -1 -1 -1
0 0 0 -1 -1 -1
0 0 -1 0 0 0
0 -1 0 0 -1 -1
0 0 -1 -1 0 -1
0 0 0 -1 0 0
1
Generator of the Alexander module
(0,0,0,-t,1,1)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
37
First homology
of the double branched cover of 11n_53
Z/37
0 0
11n_54
1

detected by
an unknotting move
1-4t+10t^2-13t^3+10t^4-4t^5+t^6
Seifert matrix of 11n_54
-1 -1 0 -1 0 -1
0 0 0 -1 0 -1
0 0 -1 0 -1 -1
0 -1 0 -2 0 -1
0 0 0 0 -1 -1
0 0 0 -1 0 0
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
t^-1-1+t
43
First homology
of the double branched cover of 11n_54
Z/43
-2 2
11n_55
1

detected by
an unknotting move
-1+6t-14t^2+19t^3-14t^4+6t^5-t^6
Seifert matrix of 11n_55
-1 -1 0 -1 0 -1
0 -2 0 -1 0 -2
0 0 1 0 0 -1
0 -1 0 0 0 -1
0 0 1 0 1 -1
0 -1 0 -1 0 -2
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
t^-2-4t^-1+5-4t+t^2
61
First homology
of the double branched cover of 11n_55
Z/61
0 0
11n_56
1

detected by
an unknotting move
1-4t+8t^2-9t^3+8t^4-4t^5+t^6
Seifert matrix of 11n_56
-1 -1 0 -1 0 -1
0 0 0 -1 0 -1
0 0 -1 0 -1 -1
0 -1 0 0 0 -1
0 0 0 0 -1 -1
0 0 0 -1 0 0
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-2-2t^-1+3-2t+t^2
35
First homology
of the double branched cover of 11n_56
Z/35
-2 2
11n_57
3

detected by
the signature
1-3t+2t^2+t^3-3t^4+t^5+2t^6-3t^7+t^8
Seifert matrix of 11n_57
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 0 -1 -1
-1 -1 0 -1 0 0 0 -1
0 0 0 0 1 0 0 -1
0 0 -1 -1 0 -1 -1 -1
-1 -1 0 -1 0 0 -1 -1
-1 -1 0 0 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,t,0,0,1)
the Blanchfield form on it
t^-3-t^-2+1-t^2+t^3
7
First homology
of the double branched cover of 11n_57
Z/7
-6 6
11n_58
2

detected by
the Lickorish test
1-4t+8t^2-9t^3+8t^4-4t^5+t^6
Seifert matrix of 11n_58
1 0 0 1 0 0
0 -1 0 0 0 0
0 -1 -2 -2 0 -1
0 -1 -1 0 0 -1
1 0 0 1 1 0
0 -1 -1 -1 0 0
1
Generator of the Alexander module
(0,0,1,0,-1,1)
the Blanchfield form on it
-t^-2+3t^-1-5+3t-t^2
35
First homology
of the double branched cover of 11n_58
Z/35
2 2
11n_59
2

detected by
the signature
-1+6t-12t^2+15t^3-12t^4+6t^5-t^6
Seifert matrix of 11n_59
-1 0 0 0 -1 -1
0 -1 0 0 0 0
0 -1 -2 0 0 1
-1 0 0 -1 -1 -1
0 0 0 0 -1 -1
0 0 1 0 0 0
1
Generator of the Alexander module
(0,1,-2t,0,0,t)
the Blanchfield form on it
-t^-2+4t^-1-4+4t-t^2
53
First homology
of the double branched cover of 11n_59
Z/53
-4 4
11n_60
1

detected by
an unknotting move
1-3t+4t^2-5t^3+5t^4-5t^5+4t^6-3t^7+t^8
Seifert matrix of 11n_60
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 0 0 -1 0
0 0 0 1 0 0 -1 0
0 0 0 1 1 0 -1 1
0 0 -1 0 0 -1 -1 0
-1 -1 0 0 0 0 -1 0
0 0 0 1 0 0 -1 1
1
Generator of the Alexander module
(0,0,0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+3t^-2-2t^-1+1-2t+3t^2-t^3
31
First homology
of the double branched cover of 11n_60
Z/31
-2 2
11n_61
2

detected by
the signature
-1+3t-4t^2+t^3+t^4+t^5-4t^6+3t^7-t^8
Seifert matrix of 11n_61
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 0 -1 0 0 -1
0 0 0 1 0 0 0 0
-1 -1 0 0 -1 0 0 0
0 0 -1 0 -1 -1 0 -1
0 0 0 1 0 0 1 0
-1 -1 0 1 -1 0 1 -1
1
Generator of the Alexander module
(0,0,1+t^2,0,0,t^2,0,0)
the Blanchfield form on it
-t^-3+2t^-2-2t^-1-2t+2t^2-t^3
17
First homology
of the double branched cover of 11n_61
Z/17
-4 4
11n_62
1

detected by
an unknotting move
2-8t+13t^2-8t^3+2t^4
Seifert matrix of 11n_62
1 2 2 2
1 1 2 2
3 3 2 3
2 2 2 3
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
-t^-1+2-t
33
First homology
of the double branched cover of 11n_62
Z/33
0 0
11n_63
1

detected by
an unknotting move
-2+10t-15t^2+10t^3-2t^4
Seifert matrix of 11n_63
-2 0 0 1
0 -1 0 0
0 -1 -2 1
0 0 1 0
1
Generator of the Alexander module
(1,0,1,0)
the Blanchfield form on it
-t^-1+2-t
39
First homology
of the double branched cover of 11n_63
Z/39
-2 2
11n_64
2

detected by
the signature
-2+5t-3t^2+t^3-3t^4+5t^5-2t^6
Seifert matrix of 11n_64
-1 0 0 0 0 0
-1 -1 0 0 0 0
-1 -1 -1 0 -1 0
0 0 -1 -1 -1 0
-1 -1 0 0 -1 0
0 0 0 0 1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-3+2t^-2-t^-1-t+2t^2-t^3
21
First homology
of the double branched cover of 11n_64
Z/21
-4 4
11n_65
1

detected by
an unknotting move
3-8t+11t^2-8t^3+3t^4
Seifert matrix of 11n_65
0 1 2 1
0 0 2 1
1 1 3 1
1 1 2 2
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
t^-1-2+t
33
First homology
of the double branched cover of 11n_65
Z/33
0 2
11n_66
1

detected by
an unknotting move
1-7t+18t^2-23t^3+18t^4-7t^5+t^6
Seifert matrix of 11n_66
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 -1 0 0 -1
0 0 0 1 0 0
1 1 0 -1 -1 0
-1 -1 0 1 -1 1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
75
First homology
of the double branched cover of 11n_66
Z/75
-2 2
11n_67
1

detected by
an unknotting move
-2+5t-2t^2
Seifert matrix of 11n_67
0 -2
-1 -5
1
Generator of the Alexander module
(1,-3t+2t^2)
the Blanchfield form on it
-3t^-1+8-3t
9
First homology
of the double branched cover of 11n_67
Z/9
0 0
11n_68
2

detected by
the Lickorish test
-4+16t-23t^2+16t^3-4t^4
Seifert matrix of 11n_68
-5 -4 -6 -4
-5 -5 -6 -4
-5 -5 -8 -6
-4 -4 -7 -5
1 or 2
63
First homology
of the double branched cover of 11n_68
Z/63
-2 2
11n_69
2

detected by
the signature
-2+7t-9t^2+9t^3-9t^4+7t^5-2t^6
Seifert matrix of 11n_69
-1 0 0 0 0 0
-1 -1 0 0 0 0
0 0 1 0 0 -1
0 0 0 -1 1 -1
1 1 0 0 -2 1
-1 -1 0 0 0 -1
1 or 2
45
First homology
of the double branched cover of 11n_69
Z/45
-4 4
11n_70
2

detected by
the signature
-1+2t-2t^2+3t^3-2t^4+2t^5-t^6
Seifert matrix of 11n_70
-1 0 -1 0 0 -1
0 -1 0 -1 0 0
0 0 0 0 0 -1
0 0 0 -1 0 -1
0 -1 0 -1 -1 0
0 0 -1 0 0 0
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-t^-2+2t^-1-1+2t-t^2
13
First homology
of the double branched cover of 11n_70
Z/13
-4 4
11n_71
2

detected by
the Nakanishi index
2-7t+14t^2-17t^3+14t^4-7t^5+2t^6
Seifert matrix of 11n_71
-1 -1 -1 -1 -1 -1
0 0 -1 -1 -1 -1
0 -1 -2 -1 -2 -1
0 -1 -1 -2 -1 -1
0 -1 -1 -1 -2 -1
0 0 -1 -1 -1 0
2
63
First homology
of the double branched cover of 11n_71
Z/21+Z/3
-2 2
11n_72
2

detected by
the Nakanishi index
-2+9t-18t^2+23t^3-18t^4+9t^5-2t^6
Seifert matrix of 11n_72
-1 -1 -1 -1 -1 -1
0 -2 -1 -1 -1 -2
0 -1 -2 -1 -2 -1
0 -1 -1 0 -1 -1
0 -1 -1 -1 -2 -1
0 -1 -1 -1 -1 -2
2
81
First homology
of the double branched cover of 11n_72
Z/27+Z/3
-4 4
11n_73
2

detected by
the Nakanishi index
1-2t+3t^2-2t^3+t^4
Seifert matrix of 11n_73
0 -1 0 1
-1 -2 1 1
0 0 0 -1
0 0 -1 0
2
9
First homology
of the double branched cover of 11n_73
Z/3+Z/3
0 0
11n_74
2

detected by
the Nakanishi index
1-2t+3t^2-2t^3+t^4
Seifert matrix of 11n_74
0 0 -1 1
0 0 0 -1
-1 1 -2 1
0 -1 0 0
2
9
First homology
of the double branched cover of 11n_74
Z/3+Z/3
0 0
11n_75
2

detected by
the Nakanishi index
2-7t+14t^2-17t^3+14t^4-7t^5+2t^6
Seifert matrix of 11n_75
-1 -1 -1 -1 -1 -1
0 0 -1 -1 -1 -1
0 -1 0 -1 -1 -1
0 -1 -1 0 -1 -1
0 -1 0 -1 0 -1
0 0 -1 -1 -1 0
2
63
First homology
of the double branched cover of 11n_75
Z/21+Z/3
2 2
11n_76
2

detected by
the Nakanishi index
-1+3t-6t^2+8t^3-9t^4+8t^5-6t^6+3t^7-t^8
Seifert matrix of 11n_76
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 1 0 1 0 1 0
-1 -1 1 1 1 1 1 0
0 0 0 0 1 0 0 0
-1 -1 1 0 1 1 1 0
0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 1
2
45
First homology
of the double branched cover of 11n_76
Z/15+Z/3
4 4
11n_77
3

detected by
the signature
-1+t+2t^2-8t^3+11t^4-8t^5+2t^6+t^7-t^8
Seifert matrix of 11n_77
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 1 0
-1 -1 0 -1 0 0 1 0
0 0 -1 -1 -1 -1 0 0
-1 -1 0 -1 0 -1 1 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 -1 -1
2
27
First homology
of the double branched cover of 11n_77
Z/9+Z/3
-6 6
11n_78
2

detected by
the Nakanishi index
-1+3t-6t^2+8t^3-9t^4+8t^5-6t^6+3t^7-t^8
Seifert matrix of 11n_78
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 1 0
-1 -1 0 -1 0 0 1 0
0 0 -1 -1 -1 -1 0 0
-1 -1 0 -1 0 -1 1 0
0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 1
2
45
First homology
of the double branched cover of 11n_78
Z/15+Z/3
-4 4
11n_79
2

detected by
the Lickorish test
-2+4t-3t^2+4t^3-2t^4
Seifert matrix of 11n_79
-1 0 -1 -1
0 -2 0 1
0 0 0 -1
0 0 -1 0
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
t^-2-2t^-1+2-2t+t^2
15
First homology
of the double branched cover of 11n_79
Z/15
-2 2
11n_80
2

detected by
the Lickorish test
-1+t+5t^2-9t^3+5t^4+t^5-t^6
Seifert matrix of 11n_80
1 0 0 0 0 0
1 0 -1 0 -1 0
1 -1 -2 0 -1 0
0 1 0 1 1 0
1 0 -1 0 0 0
0 1 0 1 1 1
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
t^-2-2t^-1+1-2t+t^2
15
First homology
of the double branched cover of 11n_80
Z/15
2 2
11n_81
3

detected by
the signature
1-3t+4t^2-4t^3+3t^4-4t^5+4t^6-3t^7+t^8
Seifert matrix of 11n_81
-1 0 0 0 0 0 0 0
-1 -1 0 0 0 0 0 0
-1 -1 -1 -1 0 -1 0 -1
-1 -1 0 -1 0 -1 0 0
0 0 -1 -1 -1 0 -1 -1
0 0 0 0 0 1 0 0
0 0 -1 -1 0 0 -1 -1
-1 -1 0 -1 0 -1 0 -1
2
27
First homology
of the double branched cover of 11n_81
Z/9+Z/3
-6 6
11n_82
1

detected by
an unknotting move
1-3t+4t^2-3t^3+4t^4-3t^5+t^6
Seifert matrix of 11n_82
0 0 0 0 -1 0
-1 -1 -1 0 -1 0
-1 0 0 0 -1 0
-1 -1 -1 -1 -1 0
-1 0 -1 0 0 0
0 -1 -1 -1 -1 -1
1
Generator of the Alexander module
(0,1,1,1,1,-t)
the Blanchfield form on it
1
19
First homology
of the double branched cover of 11n_82
Z/19
-2 2
11n_83
2

detected by
A(F_2)
3-12t+19t^2-12t^3+3t^4
Seifert matrix of 11n_83
-1 -3 1 -1
-2 -3 2 -2
1 1 0 0
-1 -3 1 -2
2
49
First homology
of the double branched cover of 11n_83
Z/49
0 0
11n_84
1

detected by
an unknotting move
-2+9t-13t^2+9t^3-2t^4
Seifert matrix of 11n_84
3 -1 2 0
0 1 -1 0
2 -1 1 0
1 0 1 1
1
Generator of the Alexander module
(0,1,0,-2+t)
the Blanchfield form on it
-1
35
First homology
of the double branched cover of 11n_84
Z/35
2 2
11n_85
1

detected by
an unknotting move
-1+5t-10t^2+13t^3-10t^4+5t^5-t^6
Seifert matrix of 11n_85
-1 -1 -1 -1 1 0
0 0 -1 -1 1 0
0 0 -1 -1 0 0
0 0 0 1 0 0
0 1 1 1 -2 1
0 -1 -1 0 1 0
1
Generator of the Alexander module
(1,0,0,0,-t,t)
the Blanchfield form on it
2t^-2-8t^-1+11-8t+2t^2
45
First homology
of the double branched cover of 11n_85
Z/45
0 0
11n_86
1

detected by
an unknotting move
-1+4t-7t^2+9t^3-7t^4+4t^5-t^6
Seifert matrix of 11n_86
-1 0 0 0 -1 -1
-1 -1 0 0 0 -1
0 0 0 0 0 -1
0 0 0 1 0 0
0 0 -1 0 0 -1
0 0 -1 1 -1 -2
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
1
33
First homology
of the double branched cover of 11n_86
Z/33
0 2
11n_87
1

detected by
an unknotting move
1-5t+12t^2-15t^3+12t^4-5t^5+t^6
Seifert matrix of 11n_87
1 0 0 0 0 0
-1 -1 -1 0 -1 0
-1 0 0 -1 0 0
0 0 0 1 -1 0
-1 0 -1 -1 1 1
0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
t^-1-2+t
51
First homology
of the double branched cover of 11n_87
Z/51
2 2
11n_88
3

detected by
the signature
-1+3t-2t^2+t^4-2t^6+3t^7-t^8
Seifert matrix of 11n_88
-1 -1 -1 -1 -1 -1 0 0
0 -1 -1 -1 0 -1 0 0
0 0 -1 -1 0 0 0 0
0 0 0 1 0 0 0 0
0 -1 -1 -1 -1 -1 0 0
0 0 -1 -1 0 -1 0 0
0 -1 -1 0 -1 -1 -1 0
0 0 0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,1+t^2-t^3,t^2+t^4-t^5,0,0,-t-t^4+t^5)
the Blanchfield form on it
x
11
First homology
of the double branched cover of 11n_88
Z/11
-6 6
11n_89
2

detected by
the signature
-1+7t-14t^2+17t^3-14t^4+7t^5-t^6
Seifert matrix of 11n_89
0 2 2 -1 -1 2
1 1 0 1 0 0
1 1 1 1 0 1
0 0 0 1 0 0
0 1 1 -1 0 1
1 1 0 1 0 1
1
Generator of the Alexander module
(2-2t-t^2+2t^3,0,-t^2+t^3,-t^2,-1+t+t^2-t^3,t)
the Blanchfield form on it
-209t^-2+344t^-1-365+344t-209t^2
61
First homology
of the double branched cover of 11n_89
Z/61
4 4
11n_90
2

detected by
the signature
-2+7t-8t^2+7t^3-8t^4+7t^5-2t^6
Seifert matrix of 11n_90
-1 1 -1 -1 0 0
0 -2 1 1 0 0
0 0 -1 -1 0 0
0 0 0 1 0 0
0 1 -1 0 -1 0
0 0 0 0 -1 -1
2
41
First homology
of the double branched cover of 11n_90
Z/41
-4 4
11n_91
2

detected by
A(F_2)
-1+8t-13t^2+8t^3-t^4
Seifert matrix of 11n_91
5 6 1 6
4 5 2 4
0 0 1 0
6 7 2 7
2
31
First homology
of the double branched cover of 11n_91
Z/31
2 2
11n_92
2

detected by
the Lickorish test
1-3t+3t^2-t^3+3t^4-3t^5+t^6
Seifert matrix of 11n_92
-1 -1 0 0 0 -1
0 0 -1 0 -1 -1
0 0 0 0 0 -1
0 0 0 1 0 0
0 0 -1 0 0 -1
0 -1 -1 1 -1 -2
1 or 2
15
First homology
of the double branched cover of 11n_92
Z/15
2 2
11n_93
3

detected by
the signature
3-7t+9t^2-9t^3+9t^4-7t^5+3t^6
Seifert matrix of 11n_93
-1 0 -1 -1 0 -1
0 -1 0 -1 -1 -1
0 0 -2 -1 0 -1
0 0 -2 -2 0 -1
0 0 -1 -1 -1 -1
0 0 -1 -1 0 -2
1 or 2
47
First homology
of the double branched cover of 11n_93
Z/47
-6 6
11n_94
1

detected by
an unknotting move
-1+6t-13t^2+17t^3-13t^4+6t^5-t^6
Seifert matrix of 11n_94
-1 0 -1 -1 0 -1
0 1 0 -1 0 -1
0 0 -2 -1 0 -1
0 0 -2 -2 0 -1
0 1 -1 -1 1 -1
0 0 -1 -1 0 0
1
Generator of the Alexander module
(1,0,0,0,1,0)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
57
First homology
of the double branched cover of 11n_94
Z/57
0 2
11n_95
2

detected by
the signature
-1+5t-7t^2+7t^3-7t^4+5t^5-t^6
Seifert matrix of 11n_95
-1 0 -1 -1 0 -1
0 -1 0 -1 -1 -1
0 0 -2 -1 0 -1
0 0 -2 -2 0 -1
0 0 -1 -1 -1 -1
0 0 -1 -1 0 0
1 or 2
33
First homology
of the double branched cover of 11n_95
Z/33
-4 4
11n_96
1

detected by
an unknotting move
1-2t+t^2+t^3+t^4-2t^5+t^6
Seifert matrix of 11n_96
-1 0 -1 -1 0 -1
0 -1 0 -1 -1 -1
0 0 0 0 0 -1
0 0 -1 0 0 -1
0 0 -1 -1 -1 -1
0 0 -1 -1 0 0
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
1
7
First homology
of the double branched cover of 11n_96
Z/7
-2 2
11n_97
1

detected by
an unknotting move
-2+5t-2t^2
Seifert matrix of 11n_97
7 2
1 0
1
Generator of the Alexander module
(4-2t,1)
the Blanchfield form on it
-1
9
First homology
of the double branched cover of 11n_97
Z/9
0 0
11n_98
1

detected by
an unknotting move
-1+7t-16t^2+21t^3-16t^4+7t^5-t^6
Seifert matrix of 11n_98
1 0 0 0 0 0
0 1 0 0 0 0
1 0 1 1 1 1
-1 -1 0 -1 -1 -1
-1 -1 0 0 -1 0
-1 -1 0 0 -1 -1
1
Generator of the Alexander module
(0,-1-2t,1-t-3t^2,2+t+2t^2,-t+2t^2,1+t+2t^2)
the Blanchfield form on it
t^-1-2+t
69
First homology
of the double branched cover of 11n_98
Z/69
0 2
11n_99
1

detected by
an unknotting move
-3+10t-13t^2+10t^3-3t^4
Seifert matrix of 11n_99
-3 -4 -2 -4
-3 -2 -1 -3
-1 -1 0 -1
-3 -2 -1 -2
1
Generator of the Alexander module
(1,0,0,0)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
39
First homology
of the double branched cover of 11n_99
Z/39
2 2
11n_100
1

detected by
an unknotting move
2-11t+19t^2-11t^3+2t^4
Seifert matrix of 11n_100
1 0 0 0
0 -1 0 0
1 0 -2 -1
1 1 0 1
1
Generator of the Alexander module
(0,0,-1,-1)
the Blanchfield form on it
t^-1-2+t
45
First homology
of the double branched cover of 11n_100
Z/45
0 0
11n_101
1

detected by
an unknotting move
-2+10t-15t^2+10t^3-2t^4
Seifert matrix of 11n_101
1 0 0 0
0 1 0 0
1 0 1 -1
1 1 0 -2
1
Generator of the Alexander module
(0,0,1,0)
the Blanchfield form on it
-1
39
First homology
of the double branched cover of 11n_101
Z/39
2 2
11n_102
1

detected by
an unknotting move
-1+t+t^2+t^3-t^4
Seifert matrix of 11n_102
1 0 0 0
0 -1 0 0
1 0 1 -1
1 1 0 1
1
Generator of the Alexander module
(0,1,2t,1)
the Blanchfield form on it
3t^-1-7+3t
3
First homology
of the double branched cover of 11n_102
Z/3
2 2
11n_103
2

detected by
the signature
-1+7t-15t^2+19t^3-15t^4+7t^5-t^6
Seifert matrix of 11n_103
-1 0 -1 0 0 1
0 1 0 0 0 0
0 0 1 0 0 0
-1 0 0 1 1 0
0 0 0 0 1 0
0 1 1 0 0 1
1 or 2
65
First homology
of the double branched cover of 11n_103
Z/65
4 4
11n_104
3

detected by
the signature
-1+3t-2t^2-2t^3+5t^4-2t^5-2t^6+3t^7-t^8
Seifert matrix of 11n_104
-1 0 0 0 0 0 0 0
0 1 0 0 0 -1 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 -1 -1 0 0 -1
-1 0 -1 0 -1 0 0 0
0 0 0 -1 -1 -1 -1 -1
0 0 0 -1 -1 0 -1 -1
-1 0 -1 0 -1 0 0 -1
1
Generator of the Alexander module
(0,1+2t-3t^2+t^3,1-t,0,0,0,0,0)
the Blanchfield form on it
-2t^-3+3t^-2+2t^-1-4+2t+3t^2-2t^3
3
First homology
of the double branched cover of 11n_104
Z/3
-6 6
11n_105
2

detected by
the signature
-1+7t-16t^2+21t^3-16t^4+7t^5-t^6
Seifert matrix of 11n_105
-2 0 -1 -1 0 -1
0 -1 0 0 -1 0
-2 0 -2 -1 0 -1
0 0 0 -1 0 0
0 0 0 0 -1 0
-1 1 -1 -1 1 0
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
2t^-1-3+2t
69
First homology
of the double branched cover of 11n_105
Z/69
-4 4
11n_106
1

detected by
an unknotting move
1-3t+6t^2-7t^3+6t^4-3t^5+t^6
Seifert matrix of 11n_106
0 1 0 1 -1 1
0 0 -1 -1 0 -1
0 0 -1 0 0 0
1 -2 -1 -2 1 -2
0 1 0 1 0 1
0 0 -1 -1 0 0
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
27
First homology
of the double branched cover of 11n_106
Z/27
2 2
11n_107
2

detected by
the signature
1-3t+4t^2-2t^3+t^4-2t^5+4t^6-3t^7+t^8
Seifert matrix of 11n_107
-1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 -1 -1 0 0 -1
-1 0 -1 0 -1 0 0 0
0 1 0 0 0 1 0 0
0 1 0 -1 -1 1 -1 -1
-1 0 -1 0 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
t^-3-3t^-2+5t^-1-5+5t-3t^2+t^3
21
First homology
of the double branched cover of 11n_107
Z/21
-4 4
11n_108
2

detected by
the signature
-1+8t-17t^2+21t^3-17t^4+8t^5-t^6
Seifert matrix of 11n_108
2 1 1 1 1 1
1 2 1 1 2 1
0 0 1 0 0 0
0 0 0 1 0 0
1 1 1 1 2 1
0 1 0 1 1 0
1 or 2
73
First homology
of the double branched cover of 11n_108
Z/73
4 4
11n_109
2

detected by
the signature
-1+7t-13t^2+15t^3-13t^4+7t^5-t^6
Seifert matrix of 11n_109
1 0 0 1 0 0
-1 0 -1 0 -1 -1
-1 0 0 0 -1 0
0 0 0 1 0 0
-1 -1 -1 1 0 -1
-1 0 -1 0 -1 0
1 or 2
57
First homology
of the double branched cover of 11n_109
Z/57
4 4
11n_110
1

detected by
an unknotting move
-1+4t-9t^2+13t^3-9t^4+4t^5-t^6
Seifert matrix of 11n_110
2 0 2 1 0 2
0 -1 -1 0 -1 -1
1 0 2 1 0 2
0 0 1 0 0 1
1 0 2 1 1 2
1 0 3 1 0 2
1
Generator of the Alexander module
(0,3-2t,0,0,-1+t,0)
the Blanchfield form on it
t^-1-2+t
41
First homology
of the double branched cover of 11n_110
Z/41
0 0
11n_111
1

detected by
an unknotting move
-1+t+3t^2-5t^3+3t^4+t^5-t^6
Seifert matrix of 11n_111
0 0 0 0 -1 0
-1 -1 -1 0 -1 -1
-1 0 -1 0 -1 0
-1 0 0 -1 -1 0
-2 -1 -1 0 -1 -1
-1 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,1,0,0,1,0)
the Blanchfield form on it
1
7
First homology
of the double branched cover of 11n_111
Z/7
-2 2
11n_112
1

detected by
an unknotting move
1-5t+13t^2-17t^3+13t^4-5t^5+t^6
Seifert matrix of 11n_112
-1 -1 -1 -1 0 -1
0 -2 -2 -1 0 -1
0 -1 -2 -1 0 -1
0 -2 -2 -2 0 -1
0 -1 0 -1 1 -1
0 -1 -1 -1 0 0
1
Generator of the Alexander module
(-t,0,0,0,0,1)
the Blanchfield form on it
-t^-1+2-t
55
First homology
of the double branched cover of 11n_112
Z/55
-2 2
11n_113
2

detected by
the Lickorish test
-1+9t-15t^2+9t^3-t^4
Seifert matrix of 11n_113
1 1 0 0
0 1 0 0
-1 1 0 -1
-1 0 -1 1
1 or 2
35
First homology
of the double branched cover of 11n_113
Z/35
2 2
11n_114
1

detected by
an unknotting move
3-13t+21t^2-13t^3+3t^4
Seifert matrix of 11n_114
2 1 1 1
1 1 2 1
2 2 1 2
1 2 2 1
1
Generator of the Alexander module
(0,1,3,t)
the Blanchfield form on it
15t^-1-27+15t
53
First homology
of the double branched cover of 11n_114
Z/53
0 0
11n_115
1

detected by
an unknotting move
-1+6t-18t^2+27t^3-18t^4+6t^5-t^6
Seifert matrix of 11n_115
1 0 0 0 0 0
-1 -1 0 -1 1 -1
0 0 1 0 0 0
-1 0 0 -1 1 0
0 0 -1 0 -1 -1
0 0 1 0 0 1
1
Generator of the Alexander module
(4+10t-2t^2+179t^3-32t^4-568t^5+527t^6-24t^7-178t^8+174t^9-96t^10+20t^11,-2+36t^2-160t^3+499t^4+807t^5-2575t^6+1780t^7+112t^8-1010t^9+808t^10-292t^11+40t^12,0,-8+16t-64t^2-78t^3+578t^4-666t^5+216t^6+164t^7-308t^8+192t^9-40t^10,-5+9t-53t^2+38t^3+181t^4-220t^5+1249t^6-2355t^7+1190t^8+504t^9-954t^10+65
the Blanchfield form on it
x
77
First homology
of the double branched cover of 11n_115
Z/77
0 0
11n_116
1

detected by
an unknotting move
-1+3t^2-t^4
Seifert matrix of 11n_116
1 1 0 0
0 1 0 0
-1 1 0 -1
-1 0 -1 -2
1
Generator of the Alexander module
(0,0,1,1)
the Blanchfield form on it
t^-1-2+t
1
First homology
of the double branched cover of 11n_116
0
0 0
11n_117
2

detected by
the Lickorish test
-3+9t-11t^2+9t^3-3t^4
Seifert matrix of 11n_117
0 0 -1 0
-1 -1 -1 0
-2 0 -1 -1
-1 0 -1 -2
1
Generator of the Alexander module
(0,-1+2t,0,3-2t)
the Blanchfield form on it
-16t^-3+80t^-2-171t^-1+214-171t+80t^2-16t^3
35
First homology
of the double branched cover of 11n_117
Z/35
-2 2
11n_118
2

detected by
the signature
-1+4t-4t^2+3t^3-4t^4+4t^5-t^6
Seifert matrix of 11n_118
-1 0 0 0 0 0
-1 -1 -1 0 0 0
-1 0 -1 0 0 0
1 1 1 -2 1 -1
0 -1 0 1 0 1
0 1 0 -2 1 -2
1 or 2
21
First homology
of the double branched cover of 11n_118
Z/21
-4 4
11n_119
1

detected by
an unknotting move
-1+6t-16t^2+23t^3-16t^4+6t^5-t^6
Seifert matrix of 11n_119
-1 0 0 0 0 0
0 0 0 -1 -1 0
-1 0 -1 0 0 0
1 -1 1 0 0 0
0 -1 0 -1 0 0
1 -1 1 0 0 1
1
Generator of the Alexander module
(0,0,0,1,1,1)
the Blanchfield form on it
t^-2-4t^-1+6-4t+t^2
69
First homology
of the double branched cover of 11n_119
Z/69
0 0
11n_120
1

detected by
an unknotting move
-1+4t-7t^2+8t^3-7t^4+8t^5-7t^6+4t^7-t^8
Seifert matrix of 11n_120
-1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
-1 0 -1 0 0 0 0 0
-1 0 -1 -1 0 0 -1 0
0 1 0 -1 1 -1 -1 1
0 0 0 -1 0 -1 -1 0
-1 0 -1 0 0 0 -1 0
0 1 0 -1 0 -1 0 1
1
Generator of the Alexander module
(0,0,0,0,0,0,0,1)
the Blanchfield form on it
-t^-1+1-t
47
First homology
of the double branched cover of 11n_120
Z/47
-2 2
11n_121
2

detected by
the signature
-1+6t-10t^2+11t^3-10t^4+6t^5-t^6
Seifert matrix of 11n_121
1 0 0 0 0 0
0 1 0 0 0 0
0 -1 1 0 0 0
1 0 1 1 1 1
-1 -1 0 0 -1 0
0 -1 1 0 0 1
1 or 2
45
First homology
of the double branched cover of 11n_121
Z/45
4 4
11n_122
1

detected by
an unknotting move
-2+7t-9t^2+7t^3-2t^4
Seifert matrix of 11n_122
5 4 0 2
2 1 0 1
2 1 1 1
1 1 0 1
1 or 2
27
First homology
of the double branched cover of 11n_122
Z/27
2 2
11n_123
1

detected by
an unknotting move
3-14t+23t^2-14t^3+3t^4
Seifert matrix of 11n_123
0 -1 0 -2
-2 -1 0 -3
1 1 -1 2
-4 -3 1 -6
1
Generator of the Alexander module
(30-12t-24t^2+12t^3,-20+8t+16t^2-8t^3,4-2t,-5+2t-8t^2+4t^3)
the Blanchfield form on it
-3712t^-4+14700t^-3-10166t^-2-35115t^-1+67282-35115t-10166t^2+14700t^3-3712t^4
57
First homology
of the double branched cover of 11n_123
Z/57
0 0
11n_124
1

detected by
an unknotting move
1-6t+14t^2-17t^3+14t^4-6t^5+t^6
Seifert matrix of 11n_124
1 0 0 0 0 0
-1 -1 0 -1 -1 -1
0 0 -1 1 0 1
0 0 0 -1 0 0
-1 0 0 -1 -1 0
0 0 0 0 0 1
1
Generator of the Alexander module
(0,-4+t,1,0,-t,0)
the Blanchfield form on it
t^-2-4t^-1+5-4t+t^2
59
First homology
of the double branched cover of 11n_124
Z/59
-2 2
11n_125
1

detected by
an unknotting move
1-6t+15t^2-19t^3+15t^4-6t^5+t^6
Seifert matrix of 11n_125
-2 -1 -1 0 -1 0
0 -1 -1 0 0 0
0 0 1 0 0 0
-1 0 0 -1 0 0
-1 -1 0 0 0 0
-1 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
1
63
First homology
of the double branched cover of 11n_125
Z/63
-2 2
11n_126
3

detected by
the signature
3-6t+4t^2-t^3+4t^4-6t^5+3t^6
Seifert matrix of 11n_126
-1 0 0 0 0 0
0 -2 0 0 -1 1
-1 0 -1 0 0 0
-1 -1 -1 -1 0 0
0 -1 0 0 -2 1
-1 0 -1 0 0 -1
2
27
First homology
of the double branched cover of 11n_126
Z/3+Z/9
-6 6
11n_127
2

detected by
the Lickorish test
1-5t+13t^2-17t^3+13t^4-5t^5+t^6
Seifert matrix of 11n_127
0 0 -1 0 0 1
0 1 0 0 0 0
0 0 1 0 0 0
-1 1 0 0 0 0
0 0 0 0 1 1
1 -1 1 -1 0 0
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
-t^-1+1-t
55
First homology
of the double branched cover of 11n_127
Z/55
2 2
11n_128
1

detected by
an unknotting move
1-5t+10t^2-11t^3+10t^4-5t^5+t^6
Seifert matrix of 11n_128
-1 0 -1 0 0 -1
0 0 0 0 0 -1
0 0 -1 0 -1 -1
-1 0 -1 -1 0 -1
0 -1 0 0 0 -1
0 -1 0 0 -1 0
1
Generator of the Alexander module
(0,0,0,-1,1,1)
the Blanchfield form on it
t^-2-5t^-1+9-5t+t^2
43
First homology
of the double branched cover of 11n_128
Z/43
-2 2
11n_129
1

detected by
an unknotting move
1-4t+10t^2-13t^3+10t^4-4t^5+t^6
Seifert matrix of 11n_129
0 -1 0 0 -1 -1
0 0 0 0 0 -1
0 0 -1 -1 0 -1
-1 -1 0 0 -1 -1
0 -1 0 0 0 -1
-1 -1 0 -1 -1 0
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
-t^-2+2t^-1-3+2t-t^2
43
First homology
of the double branched cover of 11n_129
Z/43
2 2
11n_130
1

detected by
an unknotting move
-1+5t-12t^2+17t^3-12t^4+5t^5-t^6
Seifert matrix of 11n_130
0 -1 0 -1 -1 -1
-1 0 0 0 -1 0
-1 -1 -1 -1 -1 -1
0 0 0 -1 0 0
-2 -1 -1 -1 -1 -1
-1 -1 0 -1 -1 0
1
Generator of the Alexander module
(0,-3+2t,0,0,1,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
53
First homology
of the double branched cover of 11n_130
Z/53
0 0
11n_131
1

detected by
an unknotting move
1-6t+16t^2-21t^3+16t^4-6t^5+t^6
Seifert matrix of 11n_131
1 0 0 0 0 0
-1 -1 1 0 0 0
1 0 1 0 0 0
0 -1 1 1 -1 1
-1 -1 1 0 -1 0
0 -1 0 0 -1 1
1
Generator of the Alexander module
(0,0,0,-3+3t-t^2,0,-2+2t-t^2)
the Blanchfield form on it
t^-1-2+t
67
First homology
of the double branched cover of 11n_131
Z/67
2 2
11n_132
2

detected by
the Lickorish test
2-6t+9t^2-6t^3+2t^4
Seifert matrix of 11n_132
-1 -1 0 -1
0 0 1 -1
0 0 1 1
0 -1 1 0
1
Generator of the Alexander module
(2-t,0,1,t)
the Blanchfield form on it
2t^-1-3+2t
25
First homology
of the double branched cover of 11n_132
Z/25
0 0
11n_133
3

detected by
the Stoimenow criterion
1-4t+6t^2-2t^3-t^4-2t^5+6t^6-4t^7+t^8
Seifert matrix of 11n_133
-1 0 0 0 0 0 0 0
0 1 0 0 0 0 -1 0
-1 0 -1 0 0 0 0 0
-1 0 -1 -1 0 -1 0 0
0 0 0 -1 -1 -1 0 0
-1 0 -1 0 0 -1 0 0
0 0 0 -1 -1 -1 -1 0
0 1 0 -1 -1 0 -1 1
2
25
First homology
of the double branched cover of 11n_133
Z/5+Z/5
-4 4
11n_134
1

detected by
an unknotting move
-3+12t-17t^2+12t^3-3t^4
Seifert matrix of 11n_134
1 -1 1 -1
0 0 1 -1
0 1 0 1
-1 -1 0 1
1
Generator of the Alexander module
(-1,0,0,1)
the Blanchfield form on it
-1
47
First homology
of the double branched cover of 11n_134
Z/47
2 2
11n_135
2

detected by
the signature
-1+2t-t^3+2t^5-t^6
Seifert matrix of 11n_135
1 0 0 0 0 0
-1 -1 0 -1 1 1
1 1 -2 1 -2 -2
-1 0 0 -1 1 1
1 1 -1 1 -2 -1
1 1 -1 1 -2 -2
1
Generator of the Alexander module
(0,0,0,t,0,1)
the Blanchfield form on it
-t^-2+t^-1+2+t-t^2
5
First homology
of the double branched cover of 11n_135
Z/5
-4 4
11n_136
3

detected by
the signature
3-8t+13t^2-15t^3+13t^4-8t^5+3t^6
Seifert matrix of 11n_136
-1 -1 -1 0 -1 0
0 -2 -1 0 -2 0
0 -1 -2 0 -1 0
0 1 1 -1 1 0
0 -1 -1 0 -2 0
0 1 0 -1 1 -1
1 or 2
63
First homology
of the double branched cover of 11n_136
Z/63
-6 6
11n_137
2

detected by
the signature
-1+7t-13t^2+15t^3-13t^4+7t^5-t^6
Seifert matrix of 11n_137
1 0 0 0 0 0
0 1 0 0 0 0
0 1 1 0 0 1
1 0 0 1 1 0
-1 -1 -1 0 -1 -1
0 1 0 0 0 1
1 or 2
57
First homology
of the double branched cover of 11n_137
Z/57
4 4
11n_138
1

detected by
an unknotting move
-2+4t-3t^2+4t^3-2t^4
Seifert matrix of 11n_138
-3 -2 0 -2
0 -1 0 0
-2 -1 -1 -1
-1 -1 0 0
1
Generator of the Alexander module
(2+2t^2,0,0,1)
the Blanchfield form on it
-t^-1+2-t
15
First homology
of the double branched cover of 11n_138
Z/15
-2 2
11n_139
1

detected by
an unknotting move
-2+5t-2t^2
Seifert matrix of 11n_139
2 2
1 0
1
Generator of the Alexander module
(2,1)
the Blanchfield form on it
-2
9
First homology
of the double branched cover of 11n_139
Z/9
0 0
11n_140
2

detected by
the Lickorish test
-2+13t-21t^2+13t^3-2t^4
Seifert matrix of 11n_140
1 0 0 0
1 1 1 0
-1 0 -1 1
0 0 0 2
1
Generator of the Alexander module
(0,1,0,0)
the Blanchfield form on it
-2t^-1+3-2t
51
First homology
of the double branched cover of 11n_140
Z/51
2 2
11n_141
1

detected by
an unknotting move
-5+11t-5t^2
Seifert matrix of 11n_141
-7 -4
-3 -1
1
Generator of the Alexander module
(1,0)
the Blanchfield form on it
-t^-1+2-t
21
First homology
of the double branched cover of 11n_141
Z/21
0 0
11n_142
1

detected by
an unknotting move
1-8t+15t^2-8t^3+t^4
Seifert matrix of 11n_142
0 -1 0 -1
-1 -2 0 -1
-1 0 1 -1
-2 -2 0 -1
1
Generator of the Alexander module
(0,1,-t,0)
the Blanchfield form on it
4t^-1-9+4t
33
First homology
of the double branched cover of 11n_142
Z/33
0 0
11n_143
1

detected by
an unknotting move
-1+2t-t^2+t^3-t^4+2t^5-t^6
Seifert matrix of 11n_143
-1 -1 -1 0 0 -1
0 0 -1 1 0 -1
0 0 0 1 0 -1
0 0 0 1 0 0
0 -1 0 0 -1 -1
0 -1 -1 0 0 -2
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
1
9
First homology
of the double branched cover of 11n_143
Z/9
0 2
11n_144
2

detected by
the signature
-1+7t-15t^2+19t^3-15t^4+7t^5-t^6
Seifert matrix of 11n_144
-1 -1 0 0 -1 -1
0 -2 -1 -1 0 -2
0 0 -1 0 0 0
0 -1 -1 -2 1 -1
0 -1 0 0 0 -1
0 -1 -1 -1 0 -2
1 or 2
65
First homology
of the double branched cover of 11n_144
Z/65
-4 4
11n_145
1

detected by
an unknotting move
1-t-3t^2+7t^3-3t^4-t^5+t^6
Seifert matrix of 11n_145
-1 0 0 0 0 0
0 1 -1 0 0 -1
1 0 0 1 1 1
-1 0 0 -1 0 0
1 0 0 1 0 1
0 0 1 0 1 2
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
-1
9
First homology
of the double branched cover of 11n_145
Z/9
0 0
11n_146
2

detected by
the Lickorish test
1-5t+15t^2-21t^3+15t^4-5t^5+t^6
Seifert matrix of 11n_146
-2 -1 0 0 -1 -2
0 -1 0 0 0 -1
-1 0 1 1 -1 -1
-1 -1 0 0 -1 -2
-2 -1 0 0 -2 -2
0 -1 0 -1 0 -1
1 or 2
63
First homology
of the double branched cover of 11n_146
Z/63
-2 2
11n_147
2

detected by
the signature
1-4t+7t^2-5t^3+3t^4-5t^5+7t^6-4t^7+t^8
Seifert matrix of 11n_147
-1 0 0 0 0 0 0 0
0 1 0 -1 0 0 -1 0
-1 0 -1 0 -1 0 0 0
0 0 -1 -1 0 -1 -1 0
-1 0 0 0 -1 0 0 0
-1 0 -1 0 -1 -1 0 0
0 0 -1 0 0 -1 -1 0
0 1 0 -1 0 -1 -1 1
1
Generator of the Alexander module
(0,0,0,0,0,0,0,1)
the Blanchfield form on it
-t^-2+t^-1-1+t-t^2
37
First homology
of the double branched cover of 11n_147
Z/37
-4 4
11n_148
3

detected by
the new u==2 criterion
-1+5t-10t^2+14t^3-15t^4+14t^5-10t^6+5t^7-t^8
Seifert matrix of 11n_148
-1 0 0 0 0 0 0 0
0 1 0 0 0 0 -1 0
-1 0 -1 -1 0 0 0 0
-1 0 0 -1 0 0 0 0
-1 0 -1 -1 -1 0 0 0
0 1 -1 0 -1 1 -1 1
0 0 -1 0 -1 0 -1 0
0 1 0 0 -1 0 -1 1
2
75
First homology
of the double branched cover of 11n_148
Z/15+Z/5
-2 2
11n_149
2

detected by
the signature
-1+4t-6t^2+4t^3-3t^4+4t^5-6t^6+4t^7-t^8
Seifert matrix of 11n_149
-1 0 -1 -1 0 0 0 0
-1 -1 -1 -1 0 0 0 0
0 0 -1 -1 0 -1 0 0
0 0 0 1 0 0 0 0
0 0 0 0 -1 0 -1 0
0 0 0 1 0 1 0 0
-1 0 -1 0 0 0 -1 0
0 0 0 0 -1 0 -1 -1
1 or 2
33
First homology
of the double branched cover of 11n_149
Z/33
-4 4
11n_150
2

detected by
the Lickorish test
2-9t+17t^2-19t^3+17t^4-9t^5+2t^6
Seifert matrix of 11n_150
-1 0 -1 -1 0 0
-1 -1 -1 -1 0 0
0 0 -1 -1 0 -1
0 0 0 1 0 0
1 0 1 0 -2 0
0 0 0 1 0 1
1
Generator of the Alexander module
(0,0,1,0,-1+2t,0)
the Blanchfield form on it
2t^-2-9t^-1+15-9t+2t^2
75
First homology
of the double branched cover of 11n_150
Z/75
-2 2
11n_151
1

detected by
an unknotting move
-2+6t-7t^2+6t^3-2t^4
Seifert matrix of 11n_151
-2 1 0 0
0 0 -1 0
-2 0 -2 0
-1 1 0 -1
1
Generator of the Alexander module
(0,0,0,1)
the Blanchfield form on it
1
23
First homology
of the double branched cover of 11n_151
Z/23
-2 2
11n_152
1

detected by
an unknotting move
-2+6t-7t^2+6t^3-2t^4
Seifert matrix of 11n_152
-1 -1 -2 -1
0 -2 -2 -1
0 -3 -4 -2
0 -1 -2 0
1
Generator of the Alexander module
(-t,0,1,0)
the Blanchfield form on it
1
23
First homology
of the double branched cover of 11n_152
Z/23
-2 2
11n_153
1

detected by
an unknotting move
-1+4t-7t^2+10t^3-13t^4+10t^5-7t^6+4t^7-t^8
Seifert matrix of 11n_153
-1 0 -1 -1 -1 -1 0 0
-1 -1 -1 -1 -1 -1 0 0
0 0 -1 -1 -1 -1 -1 0
0 0 0 1 0 0 0 0
0 0 0 1 1 1 0 0
0 0 0 1 0 1 0 0
0 0 0 1 1 1 1 0
-1 0 -1 0 0 0 0 -1
1
Generator of the Alexander module
(12t-20t^2-2t^3+31t^4-48t^5+55t^6-41t^7+22t^8-9t^9+2t^10,1+5t-20t^2+34t^3-40t^4+37t^5-25t^6+13t^7-5t^8+t^9,10t-20t^2+23t^3-24t^4+17t^5-9t^6+4t^7-t^8,0,20t-40t^2+46t^3-48t^4+34t^5-18t^6+8t^7-2t^8,0,-20t+40t^2-51t^3+58t^4-43t^5+25t^6-12t^7+3t^8,5t-10t^2-11t^3+33t^4-42t^5+47t^6-34t^7+18t^8-8t^9+2t^10)
the Blanchfield form on it
x
57
First homology
of the double branched cover of 11n_153
Z/57
0 0
11n_154
1

detected by
an unknotting move
1-7t+19t^2-25t^3+19t^4-7t^5+t^6
Seifert matrix of 11n_154
3 0 3 3 -1 3
1 -1 1 1 -1 1
2 0 1 2 -1 2
2 0 2 2 -1 2
0 0 0 -1 0 -1
2 0 2 3 -1 2
1
Generator of the Alexander module
(0,-2+t,5-4t+t^2,0,0,0)
the Blanchfield form on it
-t^-2+4t^-1-5+4t-t^2
79
First homology
of the double branched cover of 11n_154
Z/79
-2 2
11n_155
2

detected by
the Lickorish test
2-8t+11t^2-9t^3+11t^4-8t^5+2t^6
Seifert matrix of 11n_155
-1 0 -1 1 0 0
-1 -1 -1 1 0 0
0 0 -1 1 -1 0
0 0 0 2 0 0
0 0 0 -1 1 0
-1 0 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
2t^-2-10t^-1+17-10t+2t^2
51
First homology
of the double branched cover of 11n_155
Z/51
-2 2
11n_156
1

detected by
an unknotting move
-1+7t-18t^2+25t^3-18t^4+7t^5-t^6
Seifert matrix of 11n_156
1 1 1 1 0 1
0 -1 0 0 0 0
0 1 1 1 1 1
0 -1 0 -2 0 -1
0 -1 0 -1 -1 0
0 -1 0 -1 0 0
1
Generator of the Alexander module
(1,0,0,0,0,0)
the Blanchfield form on it
-1
77
First homology
of the double branched cover of 11n_156
Z/77
0 0
11n_157
2

detected by
the Lickorish test
-1+6t-15t^2+21t^3-15t^4+6t^5-t^6
Seifert matrix of 11n_157
-1 0 0 0 0 0
0 1 0 0 -1 0
0 1 0 -1 -1 -2
1 0 -1 0 0 -1
-1 0 0 0 -1 0
1 1 -1 -1 -1 -2
2
65
First homology
of the double branched cover of 11n_157
Z/65
0 0
11n_158
2

detected by
the signature
-1+4t-7t^2+7t^3-7t^4+7t^5-7t^6+4t^7-t^8
Seifert matrix of 11n_158
-1 0 -1 -1 -1 0 -1 0
-1 -1 -1 -1 -1 0 -1 0
0 0 -1 -1 -1 -1 -1 0
0 0 0 -1 -1 -1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 1 1 0 0
0 0 0 -1 -1 -1 -1 0
-1 0 -1 -1 0 0 -1 -1
1 or 2
45
First homology
of the double branched cover of 11n_158
Z/45
-4 4
11n_159
1

detected by
an unknotting move
1-6t+17t^2-23t^3+17t^4-6t^5+t^6
Seifert matrix of 11n_159
1 0 -1 0 1 -1
0 -1 -1 -1 1 -1
0 0 0 -1 1 0
0 0 0 1 0 0
0 0 1 0 0 1
0 0 -1 -1 1 0
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-1
71
First homology
of the double branched cover of 11n_159
Z/71
2 2
11n_160
1

detected by
an unknotting move
1-6t+16t^2-21t^3+16t^4-6t^5+t^6
Seifert matrix of 11n_160
1 1 0 1 1 1
0 -1 0 0 0 0
0 -1 -1 -1 -1 0
0 -1 0 -2 0 -1
0 -1 0 -1 -1 0
0 -1 0 -1 0 0
1
Generator of the Alexander module
(-t,0,0,0,1,0)
the Blanchfield form on it
-t^-1+2-t
67
First homology
of the double branched cover of 11n_160
Z/67
-2 2
11n_161
1

detected by
an unknotting move
2-8t+14t^2-15t^3+14t^4-8t^5+2t^6
Seifert matrix of 11n_161
-1 0 -1 0 1 0
-1 -1 -1 0 1 0
0 0 1 0 0 0
0 0 1 1 0 0
0 0 1 1 -2 0
-1 0 0 0 1 -1
1
Generator of the Alexander module
(0,4-104t+182t^2-286t^3+471t^4-357t^5+293t^6-139t^7-4t^8+20t^9,-3+69t-108t^2+258t^3-408t^4+366t^5-444t^6+231t^7+6t^8-30t^9,-2+46t-60t^2+166t^3-244t^4+229t^5-302t^6+159t^7+4t^8-20t^9,1-23t+40t^2-34t^3+61t^4-36t^5-t^6+5t^7,1-29t+46t^2-51t^3+77t^4-41t^5-t^6+5t^7)
the Blanchfield form on it
x
63
First homology
of the double branched cover of 11n_161
Z/63
-2 2
11n_162
2

detected by
the Lickorish test
-3+14t-21t^2+14t^3-3t^4
Seifert matrix of 11n_162
-2 -1 1 0
0 0 -1 0
0 -1 0 -1
1 1 -1 -1
2
55
First homology
of the double branched cover of 11n_162
Z/55
-2 2
11n_163
2

detected by
the Lickorish test
1-8t+22t^2-29t^3+22t^4-8t^5+t^6
Seifert matrix of 11n_163
-1 0 -1 0 0 0
1 1 1 0 1 0
0 0 -1 0 0 0
1 1 1 -1 1 -1
1 0 0 0 1 0
1 0 1 -1 0 -2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
-t^-2+3t^-1-3+3t-t^2
91
First homology
of the double branched cover of 11n_163
Z/91
-2 2
11n_164
2

detected by
the Nakanishi index
-1+5t-10t^2+13t^3-10t^4+5t^5-t^6
Seifert matrix of 11n_164
1 0 -1 0 0 -1
-1 -1 1 0 -1 1
0 0 -1 0 0 0
0 0 -1 -1 0 -1
-1 0 0 0 -1 1
0 0 0 0 0 -1
2
45
First homology
of the double branched cover of 11n_164
Z/15+Z/3
-4 4
11n_165
2

detected by
the Lickorish test
-1+7t-20t^2+29t^3-20t^4+7t^5-t^6
Seifert matrix of 11n_165
1 0 -1 0 0 -1
-1 -1 1 0 -1 1
0 0 1 0 0 0
0 0 -1 -1 0 -1
-1 0 0 0 -1 1
0 0 0 0 0 1
2
85
First homology
of the double branched cover of 11n_165
Z/85
0 0
11n_166
1

detected by
an unknotting move
1-4t+8t^2-11t^3+11t^4-11t^5+8t^6-4t^7+t^8
Seifert matrix of 11n_166
-1 0 0 -1 0 0 0 -1
-1 -1 0 -1 0 0 0 -1
-1 -1 1 0 0 0 1 0
0 0 0 -1 -1 0 0 0
0 0 0 0 -1 0 0 0
-1 -1 1 0 0 1 1 -1
0 0 0 0 0 0 1 0
0 0 0 -1 -1 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,0,1,0,0)
the Blanchfield form on it
t^-1-1+t
59
First homology
of the double branched cover of 11n_166
Z/59
-2 2
11n_167
2

detected by
the Nakanishi index
1-5t+15t^2-21t^3+15t^4-5t^5+t^6
Seifert matrix of 11n_167
-1 0 -1 0 0 -1
0 -1 0 0 0 0
0 1 0 1 0 -1
0 -1 0 -1 0 0
0 -1 1 -1 1 0
0 1 -1 1 0 -2
2
63
First homology
of the double branched cover of 11n_167
Z/21+Z/3
-2 2
11n_168
2

detected by
the Lickorish test
1-6t+18t^2-25t^3+18t^4-6t^5+t^6
Seifert matrix of 11n_168
-2 1 -1 0 0 -1
0 -1 0 0 0 0
-1 1 -1 0 0 -2
1 -1 0 1 -1 0
0 0 -1 0 -1 -1
-1 1 -1 0 0 -1
1 or 2
75
First homology
of the double branched cover of 11n_168
Z/75
-2 2
11n_169
3

detected by
the signature
3-6t+6t^2-5t^3+6t^4-6t^5+3t^6
Seifert matrix of 11n_169
-1 1 -1 -1 1 -1
0 -2 0 0 -1 0
0 0 -1 -1 1 -1
0 0 0 -1 1 0
0 -1 0 0 -2 0
0 0 0 -1 1 -1
1 or 2
35
First homology
of the double branched cover of 11n_169
Z/35
-6 6
11n_170
2

detected by
the Lickorish test
-3+16t-25t^2+16t^3-3t^4
Seifert matrix of 11n_170
-1 1 1 1
0 2 1 0
0 1 2 0
0 0 -1 1
1
Generator of the Alexander module
(-1,0,0,1)
the Blanchfield form on it
6t^-1-11+6t
63
First homology
of the double branched cover of 11n_170
Z/63
2 2
11n_171
2

detected by
the signature
6-16t+21t^2-16t^3+6t^4
Seifert matrix of 11n_171
-1 1 1 1
0 -2 -1 0
0 -1 -2 0
0 0 -1 -2
1
Generator of the Alexander module
(2t+4t^2-9t^3+11t^4-8t^5+2t^6,0,3t+t^2-9t^3+8t^4-2t^5,1+2t-9t^2+8t^3-2t^4)
the Blanchfield form on it
2553t^-3-10225t^-2+20602t^-1-25578+20602t-10225t^2+2553t^3
65
First homology
of the double branched cover of 11n_171
Z/65
-4 4
11n_172
1

detected by
an unknotting move
-1+5t-11t^2+15t^3-11t^4+5t^5-t^6
Seifert matrix of 11n_172
0 0 0 -1 -1 -1
1 0 1 -1 0 -1
1 0 0 -1 0 -1
-1 -1 -1 2 1 2
0 0 0 1 2 1
-1 0 -1 1 1 2
1
Generator of the Alexander module
(0,t,0,0,0,1-2t)
the Blanchfield form on it
t^-1-2+t
49
First homology
of the double branched cover of 11n_172
Z/49
0 0
11n_173
2

detected by
the signature
-1+4t-8t^2+7t^3-5t^4+7t^5-8t^6+4t^7-t^8
Seifert matrix of 11n_173
-1 0 -1 -1 0 0 -1 0
-1 -1 -1 -1 0 0 -1 0
0 0 -1 -1 -1 0 -1 0
0 0 0 -1 -1 0 0 0
0 0 0 0 -1 0 0 0
-1 0 -1 0 0 1 0 0
0 0 0 -1 -1 0 -1 0
-1 0 -1 -1 0 1 -1 1
1 or 2
45
First homology
of the double branched cover of 11n_173
Z/45
-4 4
11n_174
2

detected by
the signature
-2+11t-22t^2+27t^3-22t^4+11t^5-2t^6
Seifert matrix of 11n_174
2 0 1 -1 0 2
2 -1 1 -1 0 1
2 0 0 -1 -1 1
-1 0 0 0 0 -1
2 1 1 -1 -1 0
0 1 0 0 0 -1
1
Generator of the Alexander module
(0,0,0,0,1,0)
the Blanchfield form on it
4t^-1-7+4t
97
First homology
of the double branched cover of 11n_174
Z/97
-4 4
11n_175
2

detected by
the signature
-2+9t-14t^2+15t^3-14t^4+9t^5-2t^6
Seifert matrix of 11n_175
-1 0 0 0 -1 0
-1 -1 1 -1 0 0
1 0 -2 0 0 0
-1 0 0 -1 0 0
0 0 0 0 1 0
0 0 -1 0 -1 -1
2
65
First homology
of the double branched cover of 11n_175
Z/65
-4 4
11n_176
1

detected by
an unknotting move
1-6t+15t^2-19t^3+15t^4-6t^5+t^6
Seifert matrix of 11n_176
0 0 -1 -1 -1 -1
1 0 -1 -1 0 -1
-1 0 2 1 1 1
-1 -1 2 2 1 2
0 0 1 1 2 1
-1 -1 2 1 1 2
1
Generator of the Alexander module
(0,1,0,0,1,1)
the Blanchfield form on it
-t^-2+4t^-1-6+4t-t^2
63
First homology
of the double branched cover of 11n_176
Z/63
2 2
11n_177
1

detected by
an unknotting move
1-5t+11t^2-16t^3+17t^4-16t^5+11t^6-5t^7+t^8
Seifert matrix of 11n_177
-1 0 0 -1 0 0 -1 0
-1 -1 0 -1 0 0 -1 0
-1 0 1 0 0 0 0 0
0 0 0 -1 -1 0 0 0
0 0 0 0 -1 0 0 0
-1 0 1 0 0 1 -1 0
0 0 0 -1 -1 0 -1 0
-1 0 1 -1 0 1 -1 1
1
Generator of the Alexander module
(-2-2t,-t^2-t^3,-3-3t,t+t^2+t^3+2t^4,1+t,-t^2,1+t,-t-t^2)
the Blanchfield form on it
395t^-3-989t^-2+1732t^-1-1761+1732t-989t^2+395t^3
83
First homology
of the double branched cover of 11n_177
Z/83
-2 2
11n_178
2

detected by
the Lickorish test
2-9t+22t^2-29t^3+22t^4-9t^5+2t^6
Seifert matrix of 11n_178
1 0 0 0 0 0
1 -1 0 0 -1 0
0 0 -1 0 -1 0
1 1 1 0 -1 1
0 1 0 0 -1 0
2 2 1 1 -2 2
1
Generator of the Alexander module
(0,0,0,1,0,0)
the Blanchfield form on it
2t^-2-5t^-1+8-5t+2t^2
95
First homology
of the double branched cover of 11n_178
Z/95
-2 2
11n_179
1

detected by
an unknotting move
-1+7t-18t^2+25t^3-18t^4+7t^5-t^6
Seifert matrix of 11n_179
1 0 0 0 0 0
1 1 0 0 1 0
1 1 -1 0 1 0
0 -1 0 -1 -1 -1
1 0 0 0 1 0
1 1 0 0 1 -1
1
Generator of the Alexander module
(0,0,1,0,0,0)
the Blanchfield form on it
t^-2-3t^-1+5-3t+t^2
77
First homology
of the double branched cover of 11n_179
Z/77
0 0
11n_180
3

detected by
the signature
3-7t+11t^2-13t^3+11t^4-7t^5+3t^6
Seifert matrix of 11n_180
-1 1 1 -1 1 1
0 -2 -2 0 -1 -2
0 -1 -2 0 -1 -1
0 0 0 -1 1 0
0 -1 -1 0 -2 -1
0 -1 -2 0 -1 -2
1 or 2
55
First homology
of the double branched cover of 11n_180
Z/55
-6 6
11n_181
2

detected by
the signature
5-11t+13t^2-11t^3+5t^4
Seifert matrix of 11n_181
-1 -1 1 -1
0 -1 1 0
0 0 -2 1
0 0 1 -3
1 or 2
45
First homology
of the double branched cover of 11n_181
Z/45
-4 4
11n_182
1

detected by
an unknotting move
-1+5t-11t^2+18t^3-23t^4+18t^5-11t^6+5t^7-t^8
Seifert matrix of 11n_182
1 0 0 0 1 0 0 1
-1 -1 -1 0 -1 -1 -1 -1
-1 0 -1 0 0 -1 0 -1
0 0 0 1 0 0 0 0
0 0 0 -1 1 0 0 0
-1 0 0 0 0 -1 0 0
-1 0 -1 0 -1 -1 -1 -1
0 0 0 -1 1 0 0 1
1
Generator of the Alexander module
(0,0,1,0,0,0,0,0)
the Blanchfield form on it
t^-2-3t^-1+3-3t+t^2
93
First homology
of the double branched cover of 11n_182
Z/93
0 0
11n_183
2

detected by
the signature
1+t-6t^2+9t^3-6t^4+t^5+t^6
Seifert matrix of 11n_183
-1 -1 0 -2 -1 -1
0 -2 -1 -2 -1 -1
0 1 -1 0 0 0
0 0 -2 -2 -1 -1
0 0 -1 -1 -1 0
0 0 -1 0 0 -1
2
21
First homology
of the double branched cover of 11n_183
Z/21
-4 4
11n_184
1

detected by
an unknotting move
2-9t+20t^2-25t^3+20t^4-9t^5+2t^6
Seifert matrix of 11n_184
1 0 0 0 0 0
1 -1 -1 0 0 0
0 1 -1 0 0 0
2 2 -2 2 1 1
1 1 -1 1 0 1
1 1 -1 2 1 0
1
Generator of the Alexander module
(0,1,0,0,0,0)
the Blanchfield form on it
-t^-3+6t^-2-15t^-1+20-15t+6t^2-t^3
87
First homology
of the double branched cover of 11n_184
Z/87
-2 2
11n_185
2

detected by
the signature
-2+11t-24t^2+31t^3-24t^4+11t^5-2t^6
Seifert matrix of 11n_185
2 1 0 0 0 2
2 0 0 0 -1 1
-1 -1 -1 -1 0 0
0 0 0 -2 0 2
1 0 0 0 -1 0
0 0 0 0 0 -1
2
105
First homology
of the double branched cover of 11n_185
Z/105
-4 4
12a_0001
1

detected by
an unknotting move
1-7t+23t^2-46t^3+59t^4-46t^5+23t^6-7t^7+t^8
Seifert matrix of 12a_0001
-1 0 -1 -1 -1 -1 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 1 -1 -1 -1 -1 0 0
0 1 -1 0 -1 0 0 0
0 1 -1 0 -1 -1 0 0
0 0 0 0 -1 -1 1 1
0 0 0 0 0 0 0 1
1
Generator of the Alexander module
(0,0,0,0,-1,1-t,t-t^2,-1+t)
the Blanchfield form on it
-t^-3+6t^-2-15t^-1+20-15t+6t^2-t^3
213
First homology
of the double branched cover of 12a_0001
Z/213
0 0
12a_0002
1

detected by
an unknotting move
-1+7t-21t^2+36t^3-41t^4+36t^5-21t^6+7t^7-t^8
Seifert matrix of 12a_0002
1 0 0 0 0 0 0 0
-1 -1 0 -1 0 -1 -1 -1
0 0 1 0 0 0 0 0
-1 0 -1 -1 0 -1 -1 -1
0 0 0 0 1 0 0 0
-1 0 -1 0 -1 -1 -1 -1
-1 0 -1 0 -1 0 -1 0
-1 0 -1 0 -1 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,0,0,1,0)
the Blanchfield form on it
-t^-3+7t^-2-20t^-1+29-20t+7t^2-t^3
171
First homology
of the double branched cover of 12a_0002
Z/171
-2 2
12a_0003
2

detected by
the Lickorish test
-2+14t-40t^2+57t^3-40t^4+14t^5-2t^6
Seifert matrix of 12a_0003
1 0 0 0 0 0
-1 -1 0 -1 0 1
0 0 1 0 0 0
-1 0 -1 -1 0 1
0 0 0 0 1 0
1 0 1 0 1 -2
1
Generator of the Alexander module
(0,0,0,0,1,1)
the Blanchfield form on it
-t^-2+5t^-1-9+5t-t^2
169
First homology
of the double branched cover of 12a_0003
Z/169
0 0
12a_0004
1

detected by
an unknotting move
1-7t+23t^2-48t^3+63t^4-48t^5+23t^6-7t^7+t^8
Seifert matrix of 12a_0004
-1 -1 -1 -1 0 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
0 -1 0 -1 1 0 1 0
0 0 0 0 0 -1 0 -1
0 0 0 0 0 0 1 0
0 -1 0 -1 1 0 1 1
1
Generator of the Alexander module
(0,0,0,0,1,2,0,0)
the Blanchfield form on it
-t^-3+5t^-2-12t^-1+17-12t+5t^2-t^3
221
First homology
of the double branched cover of 12a_0004
Z/221
0 0
12a_0005
1

detected by
an unknotting move
3-19t+47t^2-61t^3+47t^4-19t^5+3t^6
Seifert matrix of 12a_0005
1 0 0 0 0 0
-1 -1 0 1 0 1
0 0 -1 -1 0 -1
1 0 0 -2 0 -1
0 0 0 0 1 -1
1 0 0 -1 0 -2
1
Generator of the Alexander module
(0,0,2-t,0,5-2t,0)
the Blanchfield form on it
6t^-2-23t^-1+31-23t+6t^2
199
First homology
of the double branched cover of 12a_0005
Z/199
-2 2
12a_0006
1

detected by
an unknotting move
-1+7t-23t^2+44t^3-53t^4+44t^5-23t^6+7t^7-t^8
Seifert matrix of 12a_0006
-1 -1 -1 -1 0 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
0 -1 0 -1 1 1 1 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 0
0 0 0 0 0 0 -1 -1
1
Generator of the Alexander module
(0,0,0,0,1,1,0,0)
the Blanchfield form on it
t^-3-4t^-2+7t^-1-9+7t-4t^2+t^3
203
First homology
of the double branched cover of 12a_0006
Z/203
-2 2
12a_0007
1

detected by
an unknotting move
-1+8t-28t^2+55t^3-67t^4+55t^5-28t^6+8t^7-t^8
Seifert matrix of 12a_0007
1 0 0 0 0 0 0 0
-1 -1 0 -1 0 0 -1 0
0 0 1 0 0 0 0 0
-1 0 -1 -1 -1 0 -1 -1
0 0 0 0 1 1 0 1
0 0 0 0 0 1 0 0
-1 0 -1 0 -1 0 -1 0
0 0 0 0 0 1 0 1
1
Generator of the Alexander module
(0,0,0,0,0,0,1,0)
the Blanchfield form on it
t^-1-1+t
251
First homology
of the double branched cover of 12a_0007
Z/251
2 2
12a_0008
1

detected by
an unknotting move
1-7t+21t^2-38t^3+47t^4-38t^5+21t^6-7t^7+t^8
Seifert matrix of 12a_0008
-1 -1 -1 -1 0 0 0 0
0 -1 -1 0 0 0 0 0
0 0 1 0 0 0 0 0
0 -1 -1 -1 0 0 0 0
0 -1 0 -1 1 0 -1 0
0 -1 0 -1 1 1 -1 1
0 0 0 0 0 0 -1 0
0 -1 0 -1 1 0 -1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+7t^-2-18t^-1+23-18t+7t^2-t^3
181
First homology
of the double branched cover of 12a_0008
Z/181
0 0
12a_0009
2

detected by
the Lickorish test
2-12t+28t^2-35t^3+28t^4-12t^5+2t^6
Seifert matrix of 12a_0009
-1 -1 -1 -1 0 0
0 -1 -1 0 0 0
0 0 1 0 0 0
0 -1 -1 -1 0 0
0 0 0 0 -1 0
0 1 0 1 1 2
1
Generator of the Alexander module
(0,0,0,0,0,1)
the Blanchfield form on it
t^-3-5t^-2+10t^-1-12+10t-5t^2+t^3
119
First homology
of the double branched cover of 12a_0009
Z/119
-2 2
12a_0010
2

detected by
the Lickorish test
3-19t+49t^2-65t^3+49t^4-19t^5+3t^6
Seifert matrix of 12a_0010
1 0 0 0 0 0
-1 -1 0 1 1 1
0 0 1 0 0 0
1 0 1 -2 -1 -2
1 0 1 -1 -2 -1
1 0 1 -1 -1 -2
1
Generator of the Alexander module
(0,0,0,-t,t,1)
the Blanchfield form on it
3t^-2-15t^-1+26-15t+3t^2
207
First homology
of the double branched cover of 12a_0010
Z/207
-2 2
12a_0011
2

detected by
the signature
1-7t+21t^2-34t^3+39t^4-34t^5+21t^6-7t^7+t^8
Seifert matrix of 12a_0011
-1 0 -1 -1 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 1 -1 -1 0 0 0 0
0 0 0 -1 1 0 1 0
0 0 0 -1 1 1 1 1
0 0 0 0 0 0 1 0
0 0 0 -1 1 0 1 1
1
Generator of the Alexander module
(0,0,0,0,1,0,0,0)
the Blanchfield form on it
-t^-3+7t^-2-20t^-1+27-20t+7t^2-t^3
165
First homology
of the double branched cover of 12a_0011
Z/165
4 4
12a_0012
1

detected by
an unknotting move
2-14t+40t^2-55t^3+40t^4-14t^5+2t^6
Seifert matrix of 12a_0012
-1 0 -1 -1 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 1 -1 -1 0 0
0 0 0 0 1 0
0 0 0 1 -1 2
1
Generator of the Alexander module
(0,0,0,0,-1,1)
the Blanchfield form on it
-t^-2+5t^-1-9+5t-t^2
167
First homology
of the double branched cover of 12a_0012
Z/167
2 2
12a_0013
1

detected by
an unknotting move
1-8t+28t^2-55t^3+69t^4-55t^5+28t^6-8t^7+t^8
Seifert matrix of 12a_0013
-1 0 -1 -1 -1 0 -1 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 1 -1 -1 0 0 0 0
0 1 -1 -1 -1 0 0 0
0 0 0 -1 -1 1 -1 1
0 1 -1 -1 -1 0 -1 0
0 0 0 0 -1 0 -1 1
1
Generator of the Alexander module
(0,0,0,1+2t^2,0,2t,0,-2t^2)
the Blanchfield form on it
-t^-2+5t^-1-9+5t-t^2
253
First homology
of the double branched cover of 12a_0013
Z/253
0 0
12a_0014
1

detected by
an unknotting move
-1+8t-28t^2+55t^3-67t^4+55t^5-28t^6+8t^7-t^8
Seifert matrix of 12a_0014