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Title: Conway polynomials of the prime knots with at most ten crossings-Definition: The Conway polynomial $\nabla_K(z)\in\mathbb{Z}[z]$ of a knot $K$ CITE{Wiki},- defined by $\nabla(0_1)=1$ and the skein relation $\nabla(L_+)-\nabla(L_-)=z\,\nabla(L_0)$,- for the unknot $0_1$ and for every prime knot $n_k$ with at most ten crossings,- named as in the Rolfsen table CITE{Rolfsen}.+Definition: The Conway polynomial $\nabla_K(z)$ of a knot $K$ CITE{Wiki}, defined+ by $\nabla(0_1)=1$ and the skein relation $\nabla(L_+)-\nabla(L_-)=z\,\nabla(L_0)$,+ for the unknot $0_1$ and every prime knot $n_k$ with at most ten crossings, named+ as in the Rolfsen table CITE{Rolfsen} with Perko's correction CITE{Perko}. Parameters: n:
title: index in the Rolfsen table display: $k$- constraints: $1\leq k\leq N(n)$, where $N(n)$ is the number of prime knots with+ constraints: $1\leq k\leq N(n)$, where $N(n)$ is the number of knots listed with $n$ crossings, $1,1,1,2,3,7,21,49,165$ for $n=0,3,4,\ldots,10$ Comments:
carries the Conway polynomials of all prime knots to thirteen crossings. The Alexander polynomials of the knots listed here are in their own table, and so are the HREF{Jones_polynomials_of_the_prime_knots_with_at_most_ten_crossings}[Jones- polynomials], which were asked for together in CITE{issue91}.+ polynomials]. Formulas: formula-skein: $\nabla(0_1)=1$ and $\nabla(L_+)-\nabla(L_-)=z\,\nabla(L_0)$ for
bib: H. Murakami, On derivatives of the Jones polynomial, Kobe J. Math. 3 (1986), 61–64.- issue91:- bib: 'numberdb-data issue #91, "Knot polynomials", https://github.com/numberdb/numberdb-data/issues/91' Tags: - polynomial
rigour details: Each polynomial is Sage's conway_polynomial() of Knots().from_table(n, k), which substitutes into the determinant $\det(V-tV^{\mathsf T})$ of a Seifert- matrix of the braid closure. Before it is written the generator requires it to- agree with the polynomial obtained from $\det(I-\psi(\beta))(1-t)/(1-t^r)$, computed- from the reduced Burau matrix $\psi(\beta)$ of the same braid word on $r$ strands,- with the matrices, their product and a Bareiss determinant written out in the- generator rather than taken from a library, and converted to $\nabla$ by writing- the symmetric Laurent polynomial $\epsilon t^{-d}\Delta(t)$ as a polynomial in- $t+t^{-1}=z^2+2$; to have only even powers and constant term $1$; to satisfy $|\nabla(2i)|=\det- K$; to have $a_2$ modulo $2$ equal to the Arf invariant both as Robertello's sum- of Alexander coefficients and by Murasugi's criterion; to equal $F_q$ for the- torus knots $T(2,q)$ and $10_{132}$, and $\Phi_4$, $\Phi_{12}$, $\Phi_8$ for $3_1$,- $7_7$, $9_{44}$; and the counts per crossing number must be $1,1,2,3,7,21,49,165$.- Outside the generator all 250 values were compared with the conway_polynomial- column of KnotInfo (package database_knotinfo 2026.9.1, computed from KnotInfo's- own diagrams) and the Arf invariants with its arf_invariant column; the stored- Alexander polynomials satisfy $\Delta(s^2)=\epsilon s^{2d}\nabla(s-s^{-1})$ and- the stored Jones polynomials $V''(1)=-6a_2$, $V(i)=(-1)^{\mathrm{Arf}}$ and $|V(-1)|=|\nabla(2i)|$- on every knot; the linked Fibonacci and cyclotomic entries hold the same polynomials,- and no other entry of those two tables coincides with a value here. All agree,- and the controls that must fail fail.+ matrix of the braid closure. The generator requires it to agree with the polynomial+ obtained from $\det(I-\psi(\beta))(1-t)/(1-t^r)$, computed from the reduced Burau+ matrix $\psi(\beta)$ of the same braid word on $r$ strands, with the matrix arithmetic+ and the determinant written out rather than taken from a library, and converted+ to $\nabla$ by writing the symmetric Laurent polynomial $\epsilon t^{-d}\Delta(t)$+ as a polynomial in $t+t^{-1}=z^2+2$; to have only even powers and constant term+ $1$; to satisfy $|\nabla(2i)|=\det K$; to have $a_2$ modulo $2$ equal to the Arf+ invariant both as Robertello's sum of Alexander coefficients and by Murasugi's+ criterion; and to equal $F_q$ for the torus knots $T(2,q)$ and $10_{132}$, and+ $\Phi_4$, $\Phi_{12}$, $\Phi_8$ for $3_1$, $7_7$, $9_{44}$. Outside the generator+ all 250 values were compared with the conway_polynomial column of KnotInfo (package+ database_knotinfo 2026.9.1, computed from KnotInfo's own diagrams) and the Arf+ invariants with its arf_invariant column; the stored Alexander polynomials satisfy+ $\Delta(s^2)=\epsilon s^{2d}\nabla(s-s^{-1})$ and the stored Jones polynomials+ $V''(1)=-6a_2$, $V(i)=(-1)^{\mathrm{Arf}}$ and $|V(-1)|=|\nabla(2i)|$ on every+ knot; the linked Fibonacci and cyclotomic entries hold the same polynomials, and+ no other entry of those two tables coincides with a value here. All agree. Display properties: number-header: $\nabla_{n_k}(z)$ Numbers:-- params:- n: '0'- k: '1'- number: '1'- comment: $0_1$, the unknot; $\nabla=1$; the first nontrivial knots with $\nabla=1$- are $11n_{34}$, the Conway knot, and $11n_{42}$, the Kinoshita–Terasaka knot- equals: HREF{One}-- params:- n: '3'- k: '1'- number: z^2 + 1- comment: $3_1$, the trefoil; the torus knot $T(2,3)$; $\nabla=F_{3}=\Phi_{4}$; $a_2=1$,- Arf invariant $1$, determinant $3$- equals: HREF{Fibonacci_polynomials#3}[$F_{3}$]-- params:- n: '4'- k: '1'- number: -z^2 + 1- comment: $4_1$, the figure-eight knot; $a_2=-1$, Arf invariant $1$, determinant- $5$-- params:- n: '5'- k: '1'- number: z^4 + 3*z^2 + 1- comment: $5_1$, the cinquefoil; the torus knot $T(2,5)$; $\nabla=F_{5}$; $a_2=3$,- Arf invariant $1$, determinant $5$; the same polynomial as $10_{132}$- equals: HREF{Fibonacci_polynomials#5}[$F_{5}$]-- params:- n: '5'- k: '2'- number: 2*z^2 + 1- comment: $5_2$, the three-twist knot; $a_2=2$, Arf invariant $0$, determinant $7$-- params:- n: '6'- k: '1'- number: -2*z^2 + 1- comment: $6_1$, the stevedore knot; $a_2=-2$, Arf invariant $0$, determinant $9$;- the same polynomial as $9_{46}$-- params:- n: '6'- k: '2'- number: -z^4 - z^2 + 1- comment: $6_2$, the Miller Institute knot; $a_2=-1$, Arf invariant $1$, determinant- $11$-- params:- n: '6'- k: '3'- number: z^4 + z^2 + 1- comment: $6_3$; $a_2=1$, Arf invariant $1$, determinant $13$-- params:- n: '7'- k: '1'- number: z^6 + 5*z^4 + 6*z^2 + 1- comment: $7_1$; the torus knot $T(2,7)$; $\nabla=F_{7}$; $a_2=6$, Arf invariant- $0$, determinant $7$- equals: HREF{Fibonacci_polynomials#7}[$F_{7}$]-- params:- n: '7'- k: '2'- number: 3*z^2 + 1- comment: $7_2$; $a_2=3$, Arf invariant $1$, determinant $11$-- params:- n: '7'- k: '3'- number: 2*z^4 + 5*z^2 + 1- comment: $7_3$; $a_2=5$, Arf invariant $1$, determinant $13$-- params:- n: '7'- k: '4'- number: 4*z^2 + 1- comment: $7_4$, the endless knot; $a_2=4$, Arf invariant $0$, determinant $15$;- the same polynomial as $9_2$-- params:- n: '7'- k: '5'- number: 2*z^4 + 4*z^2 + 1- comment: $7_5$; $a_2=4$, Arf invariant $0$, determinant $17$; the same polynomial- as $10_{130}$-- params:- n: '7'- k: '6'- number: -z^4 + z^2 + 1- comment: $7_6$; $a_2=1$, Arf invariant $1$, determinant $19$; the same polynomial- as $10_{133}$-- params:- n: '7'- k: '7'- number: z^4 - z^2 + 1- comment: $7_7$; $\nabla=\Phi_{12}$; $a_2=-1$, Arf invariant $1$, determinant $21$- equals: HREF{Cyclotomic_polynomials#12}[$\Phi_{12}$]-- params:- n: '8'- k: '1'- number: -3*z^2 + 1- comment: $8_1$; $a_2=-3$, Arf invariant $1$, determinant $13$-- params:- n: '8'- k: '2'- number: -z^6 - 3*z^4 + 1- comment: $8_2$; $a_2=0$, Arf invariant $0$, determinant $17$-- params:- n: '8'- k: '3'- number: -4*z^2 + 1- comment: $8_3$; $a_2=-4$, Arf invariant $0$, determinant $17$; the same polynomial- as $10_1$-- params:- n: '8'- k: '4'- number: -2*z^4 - 3*z^2 + 1- comment: $8_4$; $a_2=-3$, Arf invariant $1$, determinant $19$-- params:- n: '8'- k: '5'- number: -z^6 - 3*z^4 - z^2 + 1- comment: $8_5$; $a_2=-1$, Arf invariant $1$, determinant $21$; the same polynomial- as $10_{141}$-- params:- n: '8'- k: '6'- number: -2*z^4 - 2*z^2 + 1- comment: $8_6$; $a_2=-2$, Arf invariant $0$, determinant $23$-- params:- n: '8'- k: '7'- number: z^6 + 3*z^4 + 2*z^2 + 1- comment: $8_7$; $a_2=2$, Arf invariant $0$, determinant $23$-- params:- n: '8'- k: '8'- number: 2*z^4 + 2*z^2 + 1- comment: $8_8$; $a_2=2$, Arf invariant $0$, determinant $25$; the same polynomial- as $10_{129}$-- params:- n: '8'- k: '9'- number: -z^6 - 3*z^4 - 2*z^2 + 1- comment: $8_9$; $a_2=-2$, Arf invariant $0$, determinant $25$; the same polynomial- as $10_{155}$-- params:- n: '8'- k: '10'- number: z^6 + 3*z^4 + 3*z^2 + 1- comment: $8_{10}$; $a_2=3$, Arf invariant $1$, determinant $27$; the same polynomial- as $10_{143}$-- params:- n: '8'- k: '11'- number: -2*z^4 - z^2 + 1- comment: $8_{11}$; $a_2=-1$, Arf invariant $1$, determinant $27$; the same polynomial- as $10_{147}$-- params:- n: '8'- k: '12'- number: z^4 - 3*z^2 + 1- comment: $8_{12}$; $a_2=-3$, Arf invariant $1$, determinant $29$-- params:- n: '8'- k: '13'- number: 2*z^4 + z^2 + 1- comment: $8_{13}$; $a_2=1$, Arf invariant $1$, determinant $29$-- params:- n: '8'- k: '14'- number: -2*z^4 + 1- comment: $8_{14}$; $a_2=0$, Arf invariant $0$, determinant $31$; the same polynomial- as $9_8$, $10_{131}$-- params:- n: '8'- k: '15'- number: 3*z^4 + 4*z^2 + 1- comment: $8_{15}$; $a_2=4$, Arf invariant $0$, determinant $33$-- params:- n: '8'- k: '16'- number: z^6 + 2*z^4 + z^2 + 1- comment: $8_{16}$; $a_2=1$, Arf invariant $1$, determinant $35$; the same polynomial- as $10_{156}$-- params:- n: '8'- k: '17'- number: -z^6 - 2*z^4 - z^2 + 1- comment: $8_{17}$; $a_2=-1$, Arf invariant $1$, determinant $37$-- params:- n: '8'- k: '18'- number: -z^6 - z^4 + z^2 + 1- comment: $8_{18}$, the Carrick mat; $a_2=1$, Arf invariant $1$, determinant $45$;- the same polynomial as $9_{24}$-- params:- n: '8'- k: '19'- number: z^6 + 5*z^4 + 5*z^2 + 1- comment: $8_{19}$; the torus knot $T(3,4)$; $a_2=5$, Arf invariant $1$, determinant- $3$-- params:- n: '8'- k: '20'- number: z^4 + 2*z^2 + 1- comment: $8_{20}$; $a_2=2$, Arf invariant $0$, determinant $9$; the same polynomial- as $10_{140}$-- params:- n: '8'- k: '21'- number: -z^4 + 1- comment: $8_{21}$; $a_2=0$, Arf invariant $0$, determinant $15$; the same polynomial- as $10_{136}$-- params:- n: '9'- k: '1'- number: z^8 + 7*z^6 + 15*z^4 + 10*z^2 + 1- comment: $9_1$; the torus knot $T(2,9)$; $\nabla=F_{9}$; $a_2=10$, Arf invariant- $0$, determinant $9$- equals: HREF{Fibonacci_polynomials#9}[$F_{9}$]-- params:- n: '9'- k: '2'- number: 4*z^2 + 1- comment: $9_2$; $a_2=4$, Arf invariant $0$, determinant $15$; the same polynomial- as $7_4$-- params:- n: '9'- k: '3'- number: 2*z^6 + 9*z^4 + 9*z^2 + 1- comment: $9_3$; $a_2=9$, Arf invariant $1$, determinant $19$-- params:- n: '9'- k: '4'- number: 3*z^4 + 7*z^2 + 1- comment: $9_4$; $a_2=7$, Arf invariant $1$, determinant $21$-- params:- n: '9'- k: '5'- number: 6*z^2 + 1- comment: $9_5$; $a_2=6$, Arf invariant $0$, determinant $23$-- params:- n: '9'- k: '6'- number: 2*z^6 + 8*z^4 + 7*z^2 + 1- comment: $9_6$; $a_2=7$, Arf invariant $1$, determinant $27$-- params:- n: '9'- k: '7'- number: 3*z^4 + 5*z^2 + 1- comment: $9_7$; $a_2=5$, Arf invariant $1$, determinant $29$-- params:- n: '9'- k: '8'- number: -2*z^4 + 1- comment: $9_8$; $a_2=0$, Arf invariant $0$, determinant $31$; the same polynomial- as $8_{14}$, $10_{131}$-- params:- n: '9'- k: '9'- number: 2*z^6 + 8*z^4 + 8*z^2 + 1- comment: $9_9$; $a_2=8$, Arf invariant $0$, determinant $31$-- params:- n: '9'- k: '10'- number: 4*z^4 + 8*z^2 + 1- comment: $9_{10}$; $a_2=8$, Arf invariant $0$, determinant $33$-- params:- n: '9'- k: '11'- number: -z^6 - z^4 + 4*z^2 + 1- comment: $9_{11}$; $a_2=4$, Arf invariant $0$, determinant $33$-- params:- n: '9'- k: '12'- number: -2*z^4 + z^2 + 1- comment: $9_{12}$; $a_2=1$, Arf invariant $1$, determinant $35$-- params:- n: '9'- k: '13'- number: 4*z^4 + 7*z^2 + 1- comment: $9_{13}$; $a_2=7$, Arf invariant $1$, determinant $37$-- params:- n: '9'- k: '14'- number: 2*z^4 - z^2 + 1- comment: $9_{14}$; $a_2=-1$, Arf invariant $1$, determinant $37$-- params:- n: '9'- k: '15'- number: -2*z^4 + 2*z^2 + 1- comment: $9_{15}$; $a_2=2$, Arf invariant $0$, determinant $39$; the same polynomial- as $10_{165}$-- params:- n: '9'- k: '16'- number: 2*z^6 + 7*z^4 + 6*z^2 + 1- comment: $9_{16}$; $a_2=6$, Arf invariant $0$, determinant $39$-- params:- n: '9'- k: '17'- number: z^6 + z^4 - 2*z^2 + 1- comment: $9_{17}$; $a_2=-2$, Arf invariant $0$, determinant $39$-- params:- n: '9'- k: '18'- number: 4*z^4 + 6*z^2 + 1- comment: $9_{18}$; $a_2=6$, Arf invariant $0$, determinant $41$-- params:- n: '9'- k: '19'- number: 2*z^4 - 2*z^2 + 1- comment: $9_{19}$; $a_2=-2$, Arf invariant $0$, determinant $41$-- params:- n: '9'- k: '20'- number: -z^6 - z^4 + 2*z^2 + 1- comment: $9_{20}$; $a_2=2$, Arf invariant $0$, determinant $41$; the same polynomial- as $10_{149}$-- params:- n: '9'- k: '21'- number: -2*z^4 + 3*z^2 + 1- comment: $9_{21}$; $a_2=3$, Arf invariant $1$, determinant $43$-- params:- n: '9'- k: '22'- number: z^6 + z^4 - z^2 + 1- comment: $9_{22}$; $a_2=-1$, Arf invariant $1$, determinant $43$-- params:- n: '9'- k: '23'- number: 4*z^4 + 5*z^2 + 1- comment: $9_{23}$; $a_2=5$, Arf invariant $1$, determinant $45$-- params:- n: '9'- k: '24'- number: -z^6 - z^4 + z^2 + 1- comment: $9_{24}$; $a_2=1$, Arf invariant $1$, determinant $45$; the same polynomial- as $8_{18}$-- params:- n: '9'- k: '25'- number: -3*z^4 + 1- comment: $9_{25}$; $a_2=0$, Arf invariant $0$, determinant $47$-- params:- n: '9'- k: '26'- number: z^6 + z^4 + 1- comment: $9_{26}$; $a_2=0$, Arf invariant $0$, determinant $47$-- params:- n: '9'- k: '27'- number: -z^6 - z^4 + 1- comment: $9_{27}$; $a_2=0$, Arf invariant $0$, determinant $49$-- params:- n: '9'- k: '28'- number: z^6 + z^4 + z^2 + 1- comment: $9_{28}$; $a_2=1$, Arf invariant $1$, determinant $51$; the same polynomial- as $9_{29}$, $10_{163}$-- params:- n: '9'- k: '29'- number: z^6 + z^4 + z^2 + 1- comment: $9_{29}$; $a_2=1$, Arf invariant $1$, determinant $51$; the same polynomial- as $9_{28}$, $10_{163}$-- params:- n: '9'- k: '30'- number: -z^6 - z^4 - z^2 + 1- comment: $9_{30}$; $a_2=-1$, Arf invariant $1$, determinant $53$-- params:- n: '9'- k: '31'- number: z^6 + z^4 + 2*z^2 + 1- comment: $9_{31}$; $a_2=2$, Arf invariant $0$, determinant $55$-- params:- n: '9'- k: '32'- number: z^6 - z^2 + 1- comment: $9_{32}$; $a_2=-1$, Arf invariant $1$, determinant $59$-- params:- n: '9'- k: '33'- number: -z^6 + z^2 + 1- comment: $9_{33}$; $a_2=1$, Arf invariant $1$, determinant $61$-- params:- n: '9'- k: '34'- number: -z^6 - z^2 + 1- comment: $9_{34}$; $a_2=-1$, Arf invariant $1$, determinant $69$-- params:- n: '9'- k: '35'- number: 7*z^2 + 1- comment: $9_{35}$; $a_2=7$, Arf invariant $1$, determinant $27$-- params:- n: '9'- k: '36'- number: -z^6 - z^4 + 3*z^2 + 1- comment: $9_{36}$; $a_2=3$, Arf invariant $1$, determinant $37$-- params:- n: '9'- k: '37'- number: 2*z^4 - 3*z^2 + 1- comment: $9_{37}$; $a_2=-3$, Arf invariant $1$, determinant $45$-- params:- n: '9'- k: '38'- number: 5*z^4 + 6*z^2 + 1- comment: $9_{38}$; $a_2=6$, Arf invariant $0$, determinant $57$; the same polynomial- as $10_{63}$-- params:- n: '9'- k: '39'- number: -3*z^4 + 2*z^2 + 1- comment: $9_{39}$; $a_2=2$, Arf invariant $0$, determinant $55$-- params:- n: '9'- k: '40'- number: z^6 - z^4 - z^2 + 1- comment: $9_{40}$; $a_2=-1$, Arf invariant $1$, determinant $75$; the same polynomial- as $10_{59}$-- params:- n: '9'- k: '41'- number: 3*z^4 + 1- comment: $9_{41}$; $a_2=0$, Arf invariant $0$, determinant $49$-- params:- n: '9'- k: '42'- number: -z^4 - 2*z^2 + 1- comment: $9_{42}$; $a_2=-2$, Arf invariant $0$, determinant $7$-- params:- n: '9'- k: '43'- number: -z^6 - 3*z^4 + z^2 + 1- comment: $9_{43}$; $a_2=1$, Arf invariant $1$, determinant $13$-- params:- n: '9'- k: '44'- number: z^4 + 1- comment: $9_{44}$; $\nabla=\Phi_{8}$; $a_2=0$, Arf invariant $0$, determinant $17$- equals: HREF{Cyclotomic_polynomials#8}[$\Phi_{8}$]-- params:- n: '9'- k: '45'- number: -z^4 + 2*z^2 + 1- comment: $9_{45}$; $a_2=2$, Arf invariant $0$, determinant $23$-- params:- n: '9'- k: '46'- number: -2*z^2 + 1- comment: $9_{46}$; $a_2=-2$, Arf invariant $0$, determinant $9$; the same polynomial- as $6_1$-- params:- n: '9'- k: '47'- number: z^6 + 2*z^4 - z^2 + 1- comment: $9_{47}$; $a_2=-1$, Arf invariant $1$, determinant $27$-- params:- n: '9'- k: '48'- number: -z^4 + 3*z^2 + 1- comment: $9_{48}$; $a_2=3$, Arf invariant $1$, determinant $27$-- params:- n: '9'- k: '49'- number: 3*z^4 + 6*z^2 + 1- comment: $9_{49}$; $a_2=6$, Arf invariant $0$, determinant $25$-- params:- n: '10'- k: '1'- number: -4*z^2 + 1- comment: $10_1$; $a_2=-4$, Arf invariant $0$, determinant $17$; the same polynomial- as $8_3$-- params:- n: '10'- k: '2'- number: -z^8 - 5*z^6 - 5*z^4 + 2*z^2 + 1- comment: $10_2$; $a_2=2$, Arf invariant $0$, determinant $23$-- params:- n: '10'- k: '3'- number: -6*z^2 + 1- comment: $10_3$; $a_2=-6$, Arf invariant $0$, determinant $25$-- params:- n: '10'- k: '4'- number: -3*z^4 - 5*z^2 + 1- comment: $10_4$; $a_2=-5$, Arf invariant $1$, determinant $27$-- params:- n: '10'- k: '5'- number: z^8 + 5*z^6 + 7*z^4 + 4*z^2 + 1- comment: $10_5$; $a_2=4$, Arf invariant $0$, determinant $33$-- params:- n: '10'- k: '6'- number: -2*z^6 - 6*z^4 - z^2 + 1- comment: $10_6$; $a_2=-1$, Arf invariant $1$, determinant $37$-- params:- n: '10'- k: '7'- number: -3*z^4 - z^2 + 1- comment: $10_7$; $a_2=-1$, Arf invariant $1$, determinant $43$-- params:- n: '10'- k: '8'- number: -2*z^6 - 7*z^4 - 3*z^2 + 1- comment: $10_8$; $a_2=-3$, Arf invariant $1$, determinant $29$-- params:- n: '10'- k: '9'- number: -z^8 - 5*z^6 - 7*z^4 - 2*z^2 + 1- comment: $10_9$; $a_2=-2$, Arf invariant $0$, determinant $39$-- params:- n: '10'- k: '10'- number: 3*z^4 + z^2 + 1- comment: $10_{10}$; $a_2=1$, Arf invariant $1$, determinant $45$; the same polynomial- as $10_{164}$-- params:- n: '10'- k: '11'- number: -4*z^4 - 5*z^2 + 1- comment: $10_{11}$; $a_2=-5$, Arf invariant $1$, determinant $43$-- params:- n: '10'- k: '12'- number: 2*z^6 + 6*z^4 + 4*z^2 + 1- comment: $10_{12}$; $a_2=4$, Arf invariant $0$, determinant $47$; the same polynomial- as $10_{54}$-- params:- n: '10'- k: '13'- number: 2*z^4 - 5*z^2 + 1- comment: $10_{13}$; $a_2=-5$, Arf invariant $1$, determinant $53$-- params:- n: '10'- k: '14'- number: -2*z^6 - 4*z^4 + 2*z^2 + 1- comment: $10_{14}$; $a_2=2$, Arf invariant $0$, determinant $57$-- params:- n: '10'- k: '15'- number: 2*z^6 + 6*z^4 + 3*z^2 + 1- comment: $10_{15}$; $a_2=3$, Arf invariant $1$, determinant $43$-- params:- n: '10'- k: '16'- number: -4*z^4 - 4*z^2 + 1- comment: $10_{16}$; $a_2=-4$, Arf invariant $0$, determinant $47$-- params:- n: '10'- k: '17'- number: z^8 + 5*z^6 + 7*z^4 + 2*z^2 + 1- comment: $10_{17}$; $a_2=2$, Arf invariant $0$, determinant $41$-- params:- n: '10'- k: '18'- number: -4*z^4 - 2*z^2 + 1- comment: $10_{18}$; $a_2=-2$, Arf invariant $0$, determinant $55$; the same polynomial- as $10_{24}$-- params:- n: '10'- k: '19'- number: 2*z^6 + 5*z^4 + z^2 + 1- comment: $10_{19}$; $a_2=1$, Arf invariant $1$, determinant $51$-- params:- n: '10'- k: '20'- number: -3*z^4 - 3*z^2 + 1- comment: $10_{20}$; $a_2=-3$, Arf invariant $1$, determinant $35$; the same polynomial- as $10_{162}$-- params:- n: '10'- k: '21'- number: -2*z^6 - 5*z^4 + z^2 + 1- comment: $10_{21}$; $a_2=1$, Arf invariant $1$, determinant $45$-- params:- n: '10'- k: '22'- number: -2*z^6 - 6*z^4 - 4*z^2 + 1- comment: $10_{22}$; $a_2=-4$, Arf invariant $0$, determinant $49$-- params:- n: '10'- k: '23'- number: 2*z^6 + 5*z^4 + 3*z^2 + 1- comment: $10_{23}$; $a_2=3$, Arf invariant $1$, determinant $59$; the same polynomial- as $10_{52}$-- params:- n: '10'- k: '24'- number: -4*z^4 - 2*z^2 + 1- comment: $10_{24}$; $a_2=-2$, Arf invariant $0$, determinant $55$; the same polynomial- as $10_{18}$-- params:- n: '10'- k: '25'- number: -2*z^6 - 4*z^4 + 1- comment: $10_{25}$; $a_2=0$, Arf invariant $0$, determinant $65$; the same polynomial- as $10_{56}$-- params:- n: '10'- k: '26'- number: -2*z^6 - 5*z^4 - 3*z^2 + 1- comment: $10_{26}$; $a_2=-3$, Arf invariant $1$, determinant $61$-- params:- n: '10'- k: '27'- number: 2*z^6 + 4*z^4 + 2*z^2 + 1- comment: $10_{27}$; $a_2=2$, Arf invariant $0$, determinant $71$-- params:- n: '10'- k: '28'- number: 4*z^4 + 3*z^2 + 1- comment: $10_{28}$; $a_2=3$, Arf invariant $1$, determinant $53$; the same polynomial- as $10_{37}$-- params:- n: '10'- k: '29'- number: z^6 - z^4 - 4*z^2 + 1- comment: $10_{29}$; $a_2=-4$, Arf invariant $0$, determinant $63$-- params:- n: '10'- k: '30'- number: -4*z^4 + z^2 + 1- comment: $10_{30}$; $a_2=1$, Arf invariant $1$, determinant $67$-- params:- n: '10'- k: '31'- number: 4*z^4 + 2*z^2 + 1- comment: $10_{31}$; $a_2=2$, Arf invariant $0$, determinant $57$; the same polynomial- as $10_{68}$-- params:- n: '10'- k: '32'- number: -2*z^6 - 4*z^4 - z^2 + 1- comment: $10_{32}$; $a_2=-1$, Arf invariant $1$, determinant $69$-- params:- n: '10'- k: '33'- number: 4*z^4 + 1- comment: $10_{33}$; $a_2=0$, Arf invariant $0$, determinant $65$-- params:- n: '10'- k: '34'- number: 3*z^4 + 3*z^2 + 1- comment: $10_{34}$; $a_2=3$, Arf invariant $1$, determinant $37$; the same polynomial- as $10_{135}$-- params:- n: '10'- k: '35'- number: 2*z^4 - 4*z^2 + 1- comment: $10_{35}$; $a_2=-4$, Arf invariant $0$, determinant $49$-- params:- n: '10'- k: '36'- number: -3*z^4 + z^2 + 1- comment: $10_{36}$; $a_2=1$, Arf invariant $1$, determinant $51$-- params:- n: '10'- k: '37'- number: 4*z^4 + 3*z^2 + 1- comment: $10_{37}$; $a_2=3$, Arf invariant $1$, determinant $53$; the same polynomial- as $10_{28}$-- params:- n: '10'- k: '38'- number: -4*z^4 - z^2 + 1- comment: $10_{38}$; $a_2=-1$, Arf invariant $1$, determinant $59$-- params:- n: '10'- k: '39'- number: -2*z^6 - 4*z^4 + z^2 + 1- comment: $10_{39}$; $a_2=1$, Arf invariant $1$, determinant $61$-- params:- n: '10'- k: '40'- number: 2*z^6 + 4*z^4 + 3*z^2 + 1- comment: $10_{40}$; $a_2=3$, Arf invariant $1$, determinant $75$; the same polynomial- as $10_{103}$-- params:- n: '10'- k: '41'- number: z^6 - z^4 - 2*z^2 + 1- comment: $10_{41}$; $a_2=-2$, Arf invariant $0$, determinant $71$-- params:- n: '10'- k: '42'- number: -z^6 + z^4 + 1- comment: $10_{42}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial- as $10_{75}$-- params:- n: '10'- k: '43'- number: -z^6 + z^4 + 2*z^2 + 1- comment: $10_{43}$; $a_2=2$, Arf invariant $0$, determinant $73$-- params:- n: '10'- k: '44'- number: z^6 - z^4 + 1- comment: $10_{44}$; $a_2=0$, Arf invariant $0$, determinant $79$-- params:- n: '10'- k: '45'- number: -z^6 + z^4 - 2*z^2 + 1- comment: $10_{45}$; $a_2=-2$, Arf invariant $0$, determinant $89$-- params:- n: '10'- k: '46'- number: -z^8 - 5*z^6 - 6*z^4 + 1- comment: $10_{46}$; $a_2=0$, Arf invariant $0$, determinant $31$-- params:- n: '10'- k: '47'- number: z^8 + 5*z^6 + 8*z^4 + 6*z^2 + 1- comment: $10_{47}$; $a_2=6$, Arf invariant $0$, determinant $41$-- params:- n: '10'- k: '48'- number: z^8 + 5*z^6 + 8*z^4 + 4*z^2 + 1- comment: $10_{48}$; $a_2=4$, Arf invariant $0$, determinant $49$-- params:- n: '10'- k: '49'- number: 3*z^6 + 10*z^4 + 7*z^2 + 1- comment: $10_{49}$; $a_2=7$, Arf invariant $1$, determinant $59$-- params:- n: '10'- k: '50'- number: -2*z^6 - 5*z^4 - z^2 + 1- comment: $10_{50}$; $a_2=-1$, Arf invariant $1$, determinant $53$-- params:- n: '10'- k: '51'- number: 2*z^6 + 5*z^4 + 5*z^2 + 1- comment: $10_{51}$; $a_2=5$, Arf invariant $1$, determinant $67$-- params:- n: '10'- k: '52'- number: 2*z^6 + 5*z^4 + 3*z^2 + 1- comment: $10_{52}$; $a_2=3$, Arf invariant $1$, determinant $59$; the same polynomial- as $10_{23}$-- params:- n: '10'- k: '53'- number: 6*z^4 + 6*z^2 + 1- comment: $10_{53}$; $a_2=6$, Arf invariant $0$, determinant $73$-- params:- n: '10'- k: '54'- number: 2*z^6 + 6*z^4 + 4*z^2 + 1- comment: $10_{54}$; $a_2=4$, Arf invariant $0$, determinant $47$; the same polynomial- as $10_{12}$-- params:- n: '10'- k: '55'- number: 5*z^4 + 5*z^2 + 1- comment: $10_{55}$; $a_2=5$, Arf invariant $1$, determinant $61$-- params:- n: '10'- k: '56'- number: -2*z^6 - 4*z^4 + 1- comment: $10_{56}$; $a_2=0$, Arf invariant $0$, determinant $65$; the same polynomial- as $10_{25}$-- params:- n: '10'- k: '57'- number: 2*z^6 + 4*z^4 + 4*z^2 + 1- comment: $10_{57}$; $a_2=4$, Arf invariant $0$, determinant $79$-- params:- n: '10'- k: '58'- number: 3*z^4 - 4*z^2 + 1- comment: $10_{58}$; $a_2=-4$, Arf invariant $0$, determinant $65$-- params:- n: '10'- k: '59'- number: z^6 - z^4 - z^2 + 1- comment: $10_{59}$; $a_2=-1$, Arf invariant $1$, determinant $75$; the same polynomial- as $9_{40}$-- params:- n: '10'- k: '60'- number: -z^6 + z^4 - z^2 + 1- comment: $10_{60}$; $a_2=-1$, Arf invariant $1$, determinant $85$-- params:- n: '10'- k: '61'- number: -2*z^6 - 7*z^4 - 4*z^2 + 1- comment: $10_{61}$; $a_2=-4$, Arf invariant $0$, determinant $33$-- params:- n: '10'- k: '62'- number: z^8 + 5*z^6 + 8*z^4 + 5*z^2 + 1- comment: $10_{62}$; $a_2=5$, Arf invariant $1$, determinant $45$-- params:- n: '10'- k: '63'- number: 5*z^4 + 6*z^2 + 1- comment: $10_{63}$; $a_2=6$, Arf invariant $0$, determinant $57$; the same polynomial- as $9_{38}$-- params:- n: '10'- k: '64'- number: -z^8 - 5*z^6 - 8*z^4 - 3*z^2 + 1- comment: $10_{64}$; $a_2=-3$, Arf invariant $1$, determinant $51$-- params:- n: '10'- k: '65'- number: 2*z^6 + 5*z^4 + 4*z^2 + 1- comment: $10_{65}$; $a_2=4$, Arf invariant $0$, determinant $63$; the same polynomial- as $10_{77}$-- params:- n: '10'- k: '66'- number: 3*z^6 + 9*z^4 + 7*z^2 + 1- comment: $10_{66}$; $a_2=7$, Arf invariant $1$, determinant $75$-- params:- n: '10'- k: '67'- number: -4*z^4 + 1- comment: $10_{67}$; $a_2=0$, Arf invariant $0$, determinant $63$; the same polynomial- as $10_{74}$-- params:- n: '10'- k: '68'- number: 4*z^4 + 2*z^2 + 1- comment: $10_{68}$; $a_2=2$, Arf invariant $0$, determinant $57$; the same polynomial- as $10_{31}$-- params:- n: '10'- k: '69'- number: z^6 - z^4 + 2*z^2 + 1- comment: $10_{69}$; $a_2=2$, Arf invariant $0$, determinant $87$-- params:- n: '10'- k: '70'- number: z^6 - z^4 - 3*z^2 + 1- comment: $10_{70}$; $a_2=-3$, Arf invariant $1$, determinant $67$-- params:- n: '10'- k: '71'- number: -z^6 + z^4 + z^2 + 1- comment: $10_{71}$; $a_2=1$, Arf invariant $1$, determinant $77$-- params:- n: '10'- k: '72'- number: -2*z^6 - 3*z^4 + 2*z^2 + 1- comment: $10_{72}$; $a_2=2$, Arf invariant $0$, determinant $73$-- params:- n: '10'- k: '73'- number: z^6 - z^4 + z^2 + 1- comment: $10_{73}$; $a_2=1$, Arf invariant $1$, determinant $83$-- params:- n: '10'- k: '74'- number: -4*z^4 + 1- comment: $10_{74}$; $a_2=0$, Arf invariant $0$, determinant $63$; the same polynomial- as $10_{67}$-- params:- n: '10'- k: '75'- number: -z^6 + z^4 + 1- comment: $10_{75}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial- as $10_{42}$-- params:- n: '10'- k: '76'- number: -2*z^6 - 5*z^4 - 2*z^2 + 1- comment: $10_{76}$; $a_2=-2$, Arf invariant $0$, determinant $57$-- params:- n: '10'- k: '77'- number: 2*z^6 + 5*z^4 + 4*z^2 + 1- comment: $10_{77}$; $a_2=4$, Arf invariant $0$, determinant $63$; the same polynomial- as $10_{65}$-- params:- n: '10'- k: '78'- number: -z^6 + z^4 + 3*z^2 + 1- comment: $10_{78}$; $a_2=3$, Arf invariant $1$, determinant $69$-- params:- n: '10'- k: '79'- number: z^8 + 5*z^6 + 9*z^4 + 5*z^2 + 1- comment: $10_{79}$; $a_2=5$, Arf invariant $1$, determinant $61$-- params:- n: '10'- k: '80'- number: 3*z^6 + 9*z^4 + 6*z^2 + 1- comment: $10_{80}$; $a_2=6$, Arf invariant $0$, determinant $71$-- params:- n: '10'- k: '81'- number: -z^6 + 2*z^4 + 3*z^2 + 1- comment: $10_{81}$; $a_2=3$, Arf invariant $1$, determinant $85$-- params:- n: '10'- k: '82'- number: -z^8 - 4*z^6 - 4*z^4 + 1- comment: $10_{82}$; $a_2=0$, Arf invariant $0$, determinant $63$-- params:- n: '10'- k: '83'- number: 2*z^6 + 3*z^4 + z^2 + 1- comment: $10_{83}$; $a_2=1$, Arf invariant $1$, determinant $83$-- params:- n: '10'- k: '84'- number: 2*z^6 + 3*z^4 + 2*z^2 + 1- comment: $10_{84}$; $a_2=2$, Arf invariant $0$, determinant $87$-- params:- n: '10'- k: '85'- number: z^8 + 4*z^6 + 4*z^4 + 2*z^2 + 1- comment: $10_{85}$; $a_2=2$, Arf invariant $0$, determinant $57$-- params:- n: '10'- k: '86'- number: -2*z^6 - 3*z^4 - z^2 + 1- comment: $10_{86}$; $a_2=-1$, Arf invariant $1$, determinant $85$-- params:- n: '10'- k: '87'- number: -2*z^6 - 3*z^4 + 1- comment: $10_{87}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial- as $10_{98}$-- params:- n: '10'- k: '88'- number: -z^6 + 2*z^4 - z^2 + 1- comment: $10_{88}$; $a_2=-1$, Arf invariant $1$, determinant $101$-- params:- n: '10'- k: '89'- number: z^6 - 2*z^4 + z^2 + 1- comment: $10_{89}$; $a_2=1$, Arf invariant $1$, determinant $99$-- params:- n: '10'- k: '90'- number: -2*z^6 - 4*z^4 - 3*z^2 + 1- comment: $10_{90}$; $a_2=-3$, Arf invariant $1$, determinant $77$-- params:- n: '10'- k: '91'- number: z^8 + 4*z^6 + 5*z^4 + 2*z^2 + 1- comment: $10_{91}$; $a_2=2$, Arf invariant $0$, determinant $73$-- params:- n: '10'- k: '92'- number: -2*z^6 - 2*z^4 + 2*z^2 + 1- comment: $10_{92}$; $a_2=2$, Arf invariant $0$, determinant $89$-- params:- n: '10'- k: '93'- number: 2*z^6 + 4*z^4 + z^2 + 1- comment: $10_{93}$; $a_2=1$, Arf invariant $1$, determinant $67$-- params:- n: '10'- k: '94'- number: -z^8 - 4*z^6 - 5*z^4 - 2*z^2 + 1- comment: $10_{94}$; $a_2=-2$, Arf invariant $0$, determinant $71$-- params:- n: '10'- k: '95'- number: 2*z^6 + 3*z^4 + 3*z^2 + 1- comment: $10_{95}$; $a_2=3$, Arf invariant $1$, determinant $91$-- params:- n: '10'- k: '96'- number: -z^6 + z^4 - 3*z^2 + 1- comment: $10_{96}$; $a_2=-3$, Arf invariant $1$, determinant $93$-- params:- n: '10'- k: '97'- number: -5*z^4 + 2*z^2 + 1- comment: $10_{97}$; $a_2=2$, Arf invariant $0$, determinant $87$-- params:- n: '10'- k: '98'- number: -2*z^6 - 3*z^4 + 1- comment: $10_{98}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial- as $10_{87}$-- params:- n: '10'- k: '99'- number: z^8 + 4*z^6 + 6*z^4 + 4*z^2 + 1- comment: $10_{99}$; $a_2=4$, Arf invariant $0$, determinant $81$-- params:- n: '10'- k: '100'- number: z^8 + 4*z^6 + 5*z^4 + 4*z^2 + 1- comment: $10_{100}$; $a_2=4$, Arf invariant $0$, determinant $65$-- params:- n: '10'- k: '101'- number: 7*z^4 + 7*z^2 + 1- comment: $10_{101}$; $a_2=7$, Arf invariant $1$, determinant $85$-- params:- n: '10'- k: '102'- number: -2*z^6 - 4*z^4 - 2*z^2 + 1- comment: $10_{102}$; $a_2=-2$, Arf invariant $0$, determinant $73$-- params:- n: '10'- k: '103'- number: 2*z^6 + 4*z^4 + 3*z^2 + 1- comment: $10_{103}$; $a_2=3$, Arf invariant $1$, determinant $75$; the same polynomial- as $10_{40}$-- params:- n: '10'- k: '104'- number: z^8 + 4*z^6 + 5*z^4 + z^2 + 1- comment: $10_{104}$; $a_2=1$, Arf invariant $1$, determinant $77$-- params:- n: '10'- k: '105'- number: z^6 - 2*z^4 - z^2 + 1- comment: $10_{105}$; $a_2=-1$, Arf invariant $1$, determinant $91$-- params:- n: '10'- k: '106'- number: -z^8 - 4*z^6 - 5*z^4 - z^2 + 1- comment: $10_{106}$; $a_2=-1$, Arf invariant $1$, determinant $75$-- params:- n: '10'- k: '107'- number: -z^6 + 2*z^4 + z^2 + 1- comment: $10_{107}$; $a_2=1$, Arf invariant $1$, determinant $93$-- params:- n: '10'- k: '108'- number: 2*z^6 + 4*z^4 + 1- comment: $10_{108}$; $a_2=0$, Arf invariant $0$, determinant $63$-- params:- n: '10'- k: '109'- number: z^8 + 4*z^6 + 6*z^4 + 3*z^2 + 1- comment: $10_{109}$; $a_2=3$, Arf invariant $1$, determinant $85$-- params:- n: '10'- k: '110'- number: z^6 - 2*z^4 - 3*z^2 + 1- comment: $10_{110}$; $a_2=-3$, Arf invariant $1$, determinant $83$-- params:- n: '10'- k: '111'- number: -2*z^6 - 3*z^4 + z^2 + 1- comment: $10_{111}$; $a_2=1$, Arf invariant $1$, determinant $77$-- params:- n: '10'- k: '112'- number: -z^8 - 3*z^6 - z^4 + 2*z^2 + 1- comment: $10_{112}$; $a_2=2$, Arf invariant $0$, determinant $87$-- params:- n: '10'- k: '113'- number: 2*z^6 + z^4 + 1- comment: $10_{113}$; $a_2=0$, Arf invariant $0$, determinant $111$-- params:- n: '10'- k: '114'- number: -2*z^6 - 2*z^4 + z^2 + 1- comment: $10_{114}$; $a_2=1$, Arf invariant $1$, determinant $93$-- params:- n: '10'- k: '115'- number: -z^6 + 3*z^4 + z^2 + 1- comment: $10_{115}$; $a_2=1$, Arf invariant $1$, determinant $109$-- params:- n: '10'- k: '116'- number: -z^8 - 3*z^6 - 2*z^4 + 1- comment: $10_{116}$; $a_2=0$, Arf invariant $0$, determinant $95$-- params:- n: '10'- k: '117'- number: 2*z^6 + 2*z^4 + 2*z^2 + 1- comment: $10_{117}$; $a_2=2$, Arf invariant $0$, determinant $103$-- params:- n: '10'- k: '118'- number: z^8 + 3*z^6 + 2*z^4 + 1- comment: $10_{118}$; $a_2=0$, Arf invariant $0$, determinant $97$-- params:- n: '10'- k: '119'- number: -2*z^6 - 2*z^4 - z^2 + 1- comment: $10_{119}$; $a_2=-1$, Arf invariant $1$, determinant $101$-- params:- n: '10'- k: '120'- number: 8*z^4 + 6*z^2 + 1- comment: $10_{120}$; $a_2=6$, Arf invariant $0$, determinant $105$-- params:- n: '10'- k: '121'- number: 2*z^6 + z^4 + z^2 + 1- comment: $10_{121}$; $a_2=1$, Arf invariant $1$, determinant $115$-- params:- n: '10'- k: '122'- number: -2*z^6 - z^4 + 2*z^2 + 1- comment: $10_{122}$; $a_2=2$, Arf invariant $0$, determinant $105$-- params:- n: '10'- k: '123'- number: z^8 + 2*z^6 - z^4 - 2*z^2 + 1- comment: $10_{123}$; $a_2=-2$, Arf invariant $0$, determinant $121$-- params:- n: '10'- k: '124'- number: z^8 + 7*z^6 + 14*z^4 + 8*z^2 + 1- comment: $10_{124}$; the torus knot $T(3,5)$; $a_2=8$, Arf invariant $0$, determinant- $1$-- params:- n: '10'- k: '125'- number: z^6 + 4*z^4 + 3*z^2 + 1- comment: $10_{125}$; $a_2=3$, Arf invariant $1$, determinant $11$-- params:- n: '10'- k: '126'- number: z^6 + 4*z^4 + 5*z^2 + 1- comment: $10_{126}$; $a_2=5$, Arf invariant $1$, determinant $19$-- params:- n: '10'- k: '127'- number: -z^6 - 2*z^4 + z^2 + 1- comment: $10_{127}$; $a_2=1$, Arf invariant $1$, determinant $29$; the same polynomial- as $10_{150}$-- params:- n: '10'- k: '128'- number: 2*z^6 + 9*z^4 + 7*z^2 + 1- comment: $10_{128}$; $a_2=7$, Arf invariant $1$, determinant $11$-- params:- n: '10'- k: '129'- number: 2*z^4 + 2*z^2 + 1- comment: $10_{129}$; $a_2=2$, Arf invariant $0$, determinant $25$; the same polynomial- as $8_8$-- params:- n: '10'- k: '130'- number: 2*z^4 + 4*z^2 + 1- comment: $10_{130}$; $a_2=4$, Arf invariant $0$, determinant $17$; the same polynomial- as $7_5$-- params:- n: '10'- k: '131'- number: -2*z^4 + 1- comment: $10_{131}$; $a_2=0$, Arf invariant $0$, determinant $31$; the same polynomial- as $8_{14}$, $9_8$-- params:- n: '10'- k: '132'- number: z^4 + 3*z^2 + 1- comment: $10_{132}$; $\nabla=F_{5}$; $a_2=3$, Arf invariant $1$, determinant $5$;- the same polynomial as $5_1$- equals: HREF{Fibonacci_polynomials#5}[$F_{5}$]-- params:- n: '10'- k: '133'- number: -z^4 + z^2 + 1- comment: $10_{133}$; $a_2=1$, Arf invariant $1$, determinant $19$; the same polynomial- as $7_6$-- params:- n: '10'- k: '134'- number: 2*z^6 + 8*z^4 + 6*z^2 + 1- comment: $10_{134}$; $a_2=6$, Arf invariant $0$, determinant $23$-- params:- n: '10'- k: '135'- number: 3*z^4 + 3*z^2 + 1- comment: $10_{135}$; $a_2=3$, Arf invariant $1$, determinant $37$; the same polynomial- as $10_{34}$-- params:- n: '10'- k: '136'- number: -z^4 + 1- comment: $10_{136}$; $a_2=0$, Arf invariant $0$, determinant $15$; the same polynomial- as $8_{21}$-- params:- n: '10'- k: '137'- number: z^4 - 2*z^2 + 1- comment: $10_{137}$; $a_2=-2$, Arf invariant $0$, determinant $25$-- params:- n: '10'- k: '138'- number: z^6 + z^4 - 3*z^2 + 1- comment: $10_{138}$; $a_2=-3$, Arf invariant $1$, determinant $35$-- params:- n: '10'- k: '139'- number: z^8 + 7*z^6 + 14*z^4 + 9*z^2 + 1- comment: $10_{139}$; $a_2=9$, Arf invariant $1$, determinant $3$-- params:- n: '10'- k: '140'- number: z^4 + 2*z^2 + 1- comment: $10_{140}$; $a_2=2$, Arf invariant $0$, determinant $9$; the same polynomial- as $8_{20}$-- params:- n: '10'- k: '141'- number: -z^6 - 3*z^4 - z^2 + 1- comment: $10_{141}$; $a_2=-1$, Arf invariant $1$, determinant $21$; the same polynomial- as $8_5$-- params:- n: '10'- k: '142'- number: 2*z^6 + 9*z^4 + 8*z^2 + 1- comment: $10_{142}$; $a_2=8$, Arf invariant $0$, determinant $15$-- params:- n: '10'- k: '143'- number: z^6 + 3*z^4 + 3*z^2 + 1- comment: $10_{143}$; $a_2=3$, Arf invariant $1$, determinant $27$; the same polynomial- as $8_{10}$-- params:- n: '10'- k: '144'- number: -3*z^4 - 2*z^2 + 1- comment: $10_{144}$; $a_2=-2$, Arf invariant $0$, determinant $39$-- params:- n: '10'- k: '145'- number: z^4 + 5*z^2 + 1- comment: $10_{145}$; $a_2=5$, Arf invariant $1$, determinant $3$-- params:- n: '10'- k: '146'- number: 2*z^4 + 1- comment: $10_{146}$; $a_2=0$, Arf invariant $0$, determinant $33$-- params:- n: '10'- k: '147'- number: -2*z^4 - z^2 + 1- comment: $10_{147}$; $a_2=-1$, Arf invariant $1$, determinant $27$; the same polynomial- as $8_{11}$-- params:- n: '10'- k: '148'- number: z^6 + 3*z^4 + 4*z^2 + 1- comment: $10_{148}$; $a_2=4$, Arf invariant $0$, determinant $31$-- params:- n: '10'- k: '149'- number: -z^6 - z^4 + 2*z^2 + 1- comment: $10_{149}$; $a_2=2$, Arf invariant $0$, determinant $41$; the same polynomial- as $9_{20}$-- params:- n: '10'- k: '150'- number: -z^6 - 2*z^4 + z^2 + 1- comment: $10_{150}$; $a_2=1$, Arf invariant $1$, determinant $29$; the same polynomial- as $10_{127}$-- params:- n: '10'- k: '151'- number: z^6 + 2*z^4 + 3*z^2 + 1- comment: $10_{151}$; $a_2=3$, Arf invariant $1$, determinant $43$-- params:- n: '10'- k: '152'- number: z^8 + 7*z^6 + 13*z^4 + 7*z^2 + 1- comment: $10_{152}$; $a_2=7$, Arf invariant $1$, determinant $11$-- params:- n: '10'- k: '153'- number: z^6 + 5*z^4 + 4*z^2 + 1- comment: $10_{153}$; $a_2=4$, Arf invariant $0$, determinant $1$-- params:- n: '10'- k: '154'- number: z^6 + 6*z^4 + 5*z^2 + 1- comment: $10_{154}$; $a_2=5$, Arf invariant $1$, determinant $13$-- params:- n: '10'- k: '155'- number: -z^6 - 3*z^4 - 2*z^2 + 1- comment: $10_{155}$; $a_2=-2$, Arf invariant $0$, determinant $25$; the same polynomial- as $8_9$-- params:- n: '10'- k: '156'- number: z^6 + 2*z^4 + z^2 + 1- comment: $10_{156}$; $a_2=1$, Arf invariant $1$, determinant $35$; the same polynomial- as $8_{16}$-- params:- n: '10'- k: '157'- number: -z^6 + 4*z^2 + 1- comment: $10_{157}$; $a_2=4$, Arf invariant $0$, determinant $49$-- params:- n: '10'- k: '158'- number: -z^6 - 2*z^4 - 3*z^2 + 1- comment: $10_{158}$; $a_2=-3$, Arf invariant $1$, determinant $45$-- params:- n: '10'- k: '159'- number: z^6 + 2*z^4 + 2*z^2 + 1- comment: $10_{159}$; $a_2=2$, Arf invariant $0$, determinant $39$-- params:- n: '10'- k: '160'- number: -z^6 - 2*z^4 + 3*z^2 + 1- comment: $10_{160}$; $a_2=3$, Arf invariant $1$, determinant $21$-- params:- n: '10'- k: '161'- number: z^6 + 6*z^4 + 7*z^2 + 1- comment: $10_{161}$, the Perko pair, listed twice by Rolfsen as $10_{161}$ and $10_{162}$;- $a_2=7$, Arf invariant $1$, determinant $5$-- params:- n: '10'- k: '162'- number: -3*z^4 - 3*z^2 + 1- comment: $10_{162}$; $a_2=-3$, Arf invariant $1$, determinant $35$; the same polynomial- as $10_{20}$-- params:- n: '10'- k: '163'- number: z^6 + z^4 + z^2 + 1- comment: $10_{163}$; $a_2=1$, Arf invariant $1$, determinant $51$; the same polynomial- as $9_{28}$, $9_{29}$-- params:- n: '10'- k: '164'- number: 3*z^4 + z^2 + 1- comment: $10_{164}$; $a_2=1$, Arf invariant $1$, determinant $45$; the same polynomial- as $10_{10}$-- params:- n: '10'- k: '165'- number: -2*z^4 + 2*z^2 + 1- comment: $10_{165}$; $a_2=2$, Arf invariant $0$, determinant $39$; the same polynomial- as $9_{15}$+ '0':+ '1':+ number: '1'+ comment: $0_1$, the unknot; $\nabla=1$; the first nontrivial knots with $\nabla=1$+ are $11n_{34}$, the Conway knot, and $11n_{42}$, the Kinoshita–Terasaka knot+ equals: HREF{One}+ '3':+ '1':+ number: z^2 + 1+ comment: $3_1$, the trefoil; the torus knot $T(2,3)$; $\nabla=F_{3}=\Phi_{4}$;+ $a_2=1$, Arf invariant $1$, determinant $3$+ equals: HREF{Fibonacci_polynomials#3}[$F_{3}$]+ '4':+ '1':+ number: -z^2 + 1+ comment: $4_1$, the figure-eight knot; $a_2=-1$, Arf invariant $1$, determinant+ $5$+ '5':+ '1':+ number: z^4 + 3*z^2 + 1+ comment: $5_1$, the cinquefoil; the torus knot $T(2,5)$; $\nabla=F_{5}$; $a_2=3$,+ Arf invariant $1$, determinant $5$; the same polynomial as $10_{132}$+ equals: HREF{Fibonacci_polynomials#5}[$F_{5}$]+ '2':+ number: 2*z^2 + 1+ comment: $5_2$, the three-twist knot; $a_2=2$, Arf invariant $0$, determinant+ $7$+ '6':+ '1':+ number: -2*z^2 + 1+ comment: $6_1$, the stevedore knot; $a_2=-2$, Arf invariant $0$, determinant+ $9$; the same polynomial as $9_{46}$+ '2':+ number: -z^4 - z^2 + 1+ comment: $6_2$, the Miller Institute knot; $a_2=-1$, Arf invariant $1$, determinant+ $11$+ '3':+ number: z^4 + z^2 + 1+ comment: $6_3$; $a_2=1$, Arf invariant $1$, determinant $13$+ '7':+ '1':+ number: z^6 + 5*z^4 + 6*z^2 + 1+ comment: $7_1$; the torus knot $T(2,7)$; $\nabla=F_{7}$; $a_2=6$, Arf invariant+ $0$, determinant $7$+ equals: HREF{Fibonacci_polynomials#7}[$F_{7}$]+ '2':+ number: 3*z^2 + 1+ comment: $7_2$; $a_2=3$, Arf invariant $1$, determinant $11$+ '3':+ number: 2*z^4 + 5*z^2 + 1+ comment: $7_3$; $a_2=5$, Arf invariant $1$, determinant $13$+ '4':+ number: 4*z^2 + 1+ comment: $7_4$, the endless knot; $a_2=4$, Arf invariant $0$, determinant $15$;+ the same polynomial as $9_2$+ '5':+ number: 2*z^4 + 4*z^2 + 1+ comment: $7_5$; $a_2=4$, Arf invariant $0$, determinant $17$; the same polynomial+ as $10_{130}$+ '6':+ number: -z^4 + z^2 + 1+ comment: $7_6$; $a_2=1$, Arf invariant $1$, determinant $19$; the same polynomial+ as $10_{133}$+ '7':+ number: z^4 - z^2 + 1+ comment: $7_7$; $\nabla=\Phi_{12}$; $a_2=-1$, Arf invariant $1$, determinant+ $21$+ equals: HREF{Cyclotomic_polynomials#12}[$\Phi_{12}$]+ '8':+ '1':+ number: -3*z^2 + 1+ comment: $8_1$; $a_2=-3$, Arf invariant $1$, determinant $13$+ '2':+ number: -z^6 - 3*z^4 + 1+ comment: $8_2$; $a_2=0$, Arf invariant $0$, determinant $17$+ '3':+ number: -4*z^2 + 1+ comment: $8_3$; $a_2=-4$, Arf invariant $0$, determinant $17$; the same polynomial+ as $10_1$+ '4':+ number: -2*z^4 - 3*z^2 + 1+ comment: $8_4$; $a_2=-3$, Arf invariant $1$, determinant $19$+ '5':+ number: -z^6 - 3*z^4 - z^2 + 1+ comment: $8_5$; $a_2=-1$, Arf invariant $1$, determinant $21$; the same polynomial+ as $10_{141}$+ '6':+ number: -2*z^4 - 2*z^2 + 1+ comment: $8_6$; $a_2=-2$, Arf invariant $0$, determinant $23$+ '7':+ number: z^6 + 3*z^4 + 2*z^2 + 1+ comment: $8_7$; $a_2=2$, Arf invariant $0$, determinant $23$+ '8':+ number: 2*z^4 + 2*z^2 + 1+ comment: $8_8$; $a_2=2$, Arf invariant $0$, determinant $25$; the same polynomial+ as $10_{129}$+ '9':+ number: -z^6 - 3*z^4 - 2*z^2 + 1+ comment: $8_9$; $a_2=-2$, Arf invariant $0$, determinant $25$; the same polynomial+ as $10_{155}$+ '10':+ number: z^6 + 3*z^4 + 3*z^2 + 1+ comment: $8_{10}$; $a_2=3$, Arf invariant $1$, determinant $27$; the same polynomial+ as $10_{143}$+ '11':+ number: -2*z^4 - z^2 + 1+ comment: $8_{11}$; $a_2=-1$, Arf invariant $1$, determinant $27$; the same polynomial+ as $10_{147}$+ '12':+ number: z^4 - 3*z^2 + 1+ comment: $8_{12}$; $a_2=-3$, Arf invariant $1$, determinant $29$+ '13':+ number: 2*z^4 + z^2 + 1+ comment: $8_{13}$; $a_2=1$, Arf invariant $1$, determinant $29$+ '14':+ number: -2*z^4 + 1+ comment: $8_{14}$; $a_2=0$, Arf invariant $0$, determinant $31$; the same polynomial+ as $9_8$, $10_{131}$+ '15':+ number: 3*z^4 + 4*z^2 + 1+ comment: $8_{15}$; $a_2=4$, Arf invariant $0$, determinant $33$+ '16':+ number: z^6 + 2*z^4 + z^2 + 1+ comment: $8_{16}$; $a_2=1$, Arf invariant $1$, determinant $35$; the same polynomial+ as $10_{156}$+ '17':+ number: -z^6 - 2*z^4 - z^2 + 1+ comment: $8_{17}$; $a_2=-1$, Arf invariant $1$, determinant $37$+ '18':+ number: -z^6 - z^4 + z^2 + 1+ comment: $8_{18}$, the Carrick mat; $a_2=1$, Arf invariant $1$, determinant+ $45$; the same polynomial as $9_{24}$+ '19':+ number: z^6 + 5*z^4 + 5*z^2 + 1+ comment: $8_{19}$; the torus knot $T(3,4)$; $a_2=5$, Arf invariant $1$, determinant+ $3$+ '20':+ number: z^4 + 2*z^2 + 1+ comment: $8_{20}$; $a_2=2$, Arf invariant $0$, determinant $9$; the same polynomial+ as $10_{140}$+ '21':+ number: -z^4 + 1+ comment: $8_{21}$; $a_2=0$, Arf invariant $0$, determinant $15$; the same polynomial+ as $10_{136}$+ '9':+ '1':+ number: z^8 + 7*z^6 + 15*z^4 + 10*z^2 + 1+ comment: $9_1$; the torus knot $T(2,9)$; $\nabla=F_{9}$; $a_2=10$, Arf invariant+ $0$, determinant $9$+ equals: HREF{Fibonacci_polynomials#9}[$F_{9}$]+ '2':+ number: 4*z^2 + 1+ comment: $9_2$; $a_2=4$, Arf invariant $0$, determinant $15$; the same polynomial+ as $7_4$+ '3':+ number: 2*z^6 + 9*z^4 + 9*z^2 + 1+ comment: $9_3$; $a_2=9$, Arf invariant $1$, determinant $19$+ '4':+ number: 3*z^4 + 7*z^2 + 1+ comment: $9_4$; $a_2=7$, Arf invariant $1$, determinant $21$+ '5':+ number: 6*z^2 + 1+ comment: $9_5$; $a_2=6$, Arf invariant $0$, determinant $23$+ '6':+ number: 2*z^6 + 8*z^4 + 7*z^2 + 1+ comment: $9_6$; $a_2=7$, Arf invariant $1$, determinant $27$+ '7':+ number: 3*z^4 + 5*z^2 + 1+ comment: $9_7$; $a_2=5$, Arf invariant $1$, determinant $29$+ '8':+ number: -2*z^4 + 1+ comment: $9_8$; $a_2=0$, Arf invariant $0$, determinant $31$; the same polynomial+ as $8_{14}$, $10_{131}$+ '9':+ number: 2*z^6 + 8*z^4 + 8*z^2 + 1+ comment: $9_9$; $a_2=8$, Arf invariant $0$, determinant $31$+ '10':+ number: 4*z^4 + 8*z^2 + 1+ comment: $9_{10}$; $a_2=8$, Arf invariant $0$, determinant $33$+ '11':+ number: -z^6 - z^4 + 4*z^2 + 1+ comment: $9_{11}$; $a_2=4$, Arf invariant $0$, determinant $33$+ '12':+ number: -2*z^4 + z^2 + 1+ comment: $9_{12}$; $a_2=1$, Arf invariant $1$, determinant $35$+ '13':+ number: 4*z^4 + 7*z^2 + 1+ comment: $9_{13}$; $a_2=7$, Arf invariant $1$, determinant $37$+ '14':+ number: 2*z^4 - z^2 + 1+ comment: $9_{14}$; $a_2=-1$, Arf invariant $1$, determinant $37$+ '15':+ number: -2*z^4 + 2*z^2 + 1+ comment: $9_{15}$; $a_2=2$, Arf invariant $0$, determinant $39$; the same polynomial+ as $10_{165}$+ '16':+ number: 2*z^6 + 7*z^4 + 6*z^2 + 1+ comment: $9_{16}$; $a_2=6$, Arf invariant $0$, determinant $39$+ '17':+ number: z^6 + z^4 - 2*z^2 + 1+ comment: $9_{17}$; $a_2=-2$, Arf invariant $0$, determinant $39$+ '18':+ number: 4*z^4 + 6*z^2 + 1+ comment: $9_{18}$; $a_2=6$, Arf invariant $0$, determinant $41$+ '19':+ number: 2*z^4 - 2*z^2 + 1+ comment: $9_{19}$; $a_2=-2$, Arf invariant $0$, determinant $41$+ '20':+ number: -z^6 - z^4 + 2*z^2 + 1+ comment: $9_{20}$; $a_2=2$, Arf invariant $0$, determinant $41$; the same polynomial+ as $10_{149}$+ '21':+ number: -2*z^4 + 3*z^2 + 1+ comment: $9_{21}$; $a_2=3$, Arf invariant $1$, determinant $43$+ '22':+ number: z^6 + z^4 - z^2 + 1+ comment: $9_{22}$; $a_2=-1$, Arf invariant $1$, determinant $43$+ '23':+ number: 4*z^4 + 5*z^2 + 1+ comment: $9_{23}$; $a_2=5$, Arf invariant $1$, determinant $45$+ '24':+ number: -z^6 - z^4 + z^2 + 1+ comment: $9_{24}$; $a_2=1$, Arf invariant $1$, determinant $45$; the same polynomial+ as $8_{18}$+ '25':+ number: -3*z^4 + 1+ comment: $9_{25}$; $a_2=0$, Arf invariant $0$, determinant $47$+ '26':+ number: z^6 + z^4 + 1+ comment: $9_{26}$; $a_2=0$, Arf invariant $0$, determinant $47$+ '27':+ number: -z^6 - z^4 + 1+ comment: $9_{27}$; $a_2=0$, Arf invariant $0$, determinant $49$+ '28':+ number: z^6 + z^4 + z^2 + 1+ comment: $9_{28}$; $a_2=1$, Arf invariant $1$, determinant $51$; the same polynomial+ as $9_{29}$, $10_{163}$+ '29':+ number: z^6 + z^4 + z^2 + 1+ comment: $9_{29}$; $a_2=1$, Arf invariant $1$, determinant $51$; the same polynomial+ as $9_{28}$, $10_{163}$+ '30':+ number: -z^6 - z^4 - z^2 + 1+ comment: $9_{30}$; $a_2=-1$, Arf invariant $1$, determinant $53$+ '31':+ number: z^6 + z^4 + 2*z^2 + 1+ comment: $9_{31}$; $a_2=2$, Arf invariant $0$, determinant $55$+ '32':+ number: z^6 - z^2 + 1+ comment: $9_{32}$; $a_2=-1$, Arf invariant $1$, determinant $59$+ '33':+ number: -z^6 + z^2 + 1+ comment: $9_{33}$; $a_2=1$, Arf invariant $1$, determinant $61$+ '34':+ number: -z^6 - z^2 + 1+ comment: $9_{34}$; $a_2=-1$, Arf invariant $1$, determinant $69$+ '35':+ number: 7*z^2 + 1+ comment: $9_{35}$; $a_2=7$, Arf invariant $1$, determinant $27$+ '36':+ number: -z^6 - z^4 + 3*z^2 + 1+ comment: $9_{36}$; $a_2=3$, Arf invariant $1$, determinant $37$+ '37':+ number: 2*z^4 - 3*z^2 + 1+ comment: $9_{37}$; $a_2=-3$, Arf invariant $1$, determinant $45$+ '38':+ number: 5*z^4 + 6*z^2 + 1+ comment: $9_{38}$; $a_2=6$, Arf invariant $0$, determinant $57$; the same polynomial+ as $10_{63}$+ '39':+ number: -3*z^4 + 2*z^2 + 1+ comment: $9_{39}$; $a_2=2$, Arf invariant $0$, determinant $55$+ '40':+ number: z^6 - z^4 - z^2 + 1+ comment: $9_{40}$; $a_2=-1$, Arf invariant $1$, determinant $75$; the same polynomial+ as $10_{59}$+ '41':+ number: 3*z^4 + 1+ comment: $9_{41}$; $a_2=0$, Arf invariant $0$, determinant $49$+ '42':+ number: -z^4 - 2*z^2 + 1+ comment: $9_{42}$; $a_2=-2$, Arf invariant $0$, determinant $7$+ '43':+ number: -z^6 - 3*z^4 + z^2 + 1+ comment: $9_{43}$; $a_2=1$, Arf invariant $1$, determinant $13$+ '44':+ number: z^4 + 1+ comment: $9_{44}$; $\nabla=\Phi_{8}$; $a_2=0$, Arf invariant $0$, determinant+ $17$+ equals: HREF{Cyclotomic_polynomials#8}[$\Phi_{8}$]+ '45':+ number: -z^4 + 2*z^2 + 1+ comment: $9_{45}$; $a_2=2$, Arf invariant $0$, determinant $23$+ '46':+ number: -2*z^2 + 1+ comment: $9_{46}$; $a_2=-2$, Arf invariant $0$, determinant $9$; the same polynomial+ as $6_1$+ '47':+ number: z^6 + 2*z^4 - z^2 + 1+ comment: $9_{47}$; $a_2=-1$, Arf invariant $1$, determinant $27$+ '48':+ number: -z^4 + 3*z^2 + 1+ comment: $9_{48}$; $a_2=3$, Arf invariant $1$, determinant $27$+ '49':+ number: 3*z^4 + 6*z^2 + 1+ comment: $9_{49}$; $a_2=6$, Arf invariant $0$, determinant $25$+ '10':+ '1':+ number: -4*z^2 + 1+ comment: $10_1$; $a_2=-4$, Arf invariant $0$, determinant $17$; the same polynomial+ as $8_3$+ '2':+ number: -z^8 - 5*z^6 - 5*z^4 + 2*z^2 + 1+ comment: $10_2$; $a_2=2$, Arf invariant $0$, determinant $23$+ '3':+ number: -6*z^2 + 1+ comment: $10_3$; $a_2=-6$, Arf invariant $0$, determinant $25$+ '4':+ number: -3*z^4 - 5*z^2 + 1+ comment: $10_4$; $a_2=-5$, Arf invariant $1$, determinant $27$+ '5':+ number: z^8 + 5*z^6 + 7*z^4 + 4*z^2 + 1+ comment: $10_5$; $a_2=4$, Arf invariant $0$, determinant $33$+ '6':+ number: -2*z^6 - 6*z^4 - z^2 + 1+ comment: $10_6$; $a_2=-1$, Arf invariant $1$, determinant $37$+ '7':+ number: -3*z^4 - z^2 + 1+ comment: $10_7$; $a_2=-1$, Arf invariant $1$, determinant $43$+ '8':+ number: -2*z^6 - 7*z^4 - 3*z^2 + 1+ comment: $10_8$; $a_2=-3$, Arf invariant $1$, determinant $29$+ '9':+ number: -z^8 - 5*z^6 - 7*z^4 - 2*z^2 + 1+ comment: $10_9$; $a_2=-2$, Arf invariant $0$, determinant $39$+ '10':+ number: 3*z^4 + z^2 + 1+ comment: $10_{10}$; $a_2=1$, Arf invariant $1$, determinant $45$; the same polynomial+ as $10_{164}$+ '11':+ number: -4*z^4 - 5*z^2 + 1+ comment: $10_{11}$; $a_2=-5$, Arf invariant $1$, determinant $43$+ '12':+ number: 2*z^6 + 6*z^4 + 4*z^2 + 1+ comment: $10_{12}$; $a_2=4$, Arf invariant $0$, determinant $47$; the same polynomial+ as $10_{54}$+ '13':+ number: 2*z^4 - 5*z^2 + 1+ comment: $10_{13}$; $a_2=-5$, Arf invariant $1$, determinant $53$+ '14':+ number: -2*z^6 - 4*z^4 + 2*z^2 + 1+ comment: $10_{14}$; $a_2=2$, Arf invariant $0$, determinant $57$+ '15':+ number: 2*z^6 + 6*z^4 + 3*z^2 + 1+ comment: $10_{15}$; $a_2=3$, Arf invariant $1$, determinant $43$+ '16':+ number: -4*z^4 - 4*z^2 + 1+ comment: $10_{16}$; $a_2=-4$, Arf invariant $0$, determinant $47$+ '17':+ number: z^8 + 5*z^6 + 7*z^4 + 2*z^2 + 1+ comment: $10_{17}$; $a_2=2$, Arf invariant $0$, determinant $41$+ '18':+ number: -4*z^4 - 2*z^2 + 1+ comment: $10_{18}$; $a_2=-2$, Arf invariant $0$, determinant $55$; the same+ polynomial as $10_{24}$+ '19':+ number: 2*z^6 + 5*z^4 + z^2 + 1+ comment: $10_{19}$; $a_2=1$, Arf invariant $1$, determinant $51$+ '20':+ number: -3*z^4 - 3*z^2 + 1+ comment: $10_{20}$; $a_2=-3$, Arf invariant $1$, determinant $35$; the same+ polynomial as $10_{162}$+ '21':+ number: -2*z^6 - 5*z^4 + z^2 + 1+ comment: $10_{21}$; $a_2=1$, Arf invariant $1$, determinant $45$+ '22':+ number: -2*z^6 - 6*z^4 - 4*z^2 + 1+ comment: $10_{22}$; $a_2=-4$, Arf invariant $0$, determinant $49$+ '23':+ number: 2*z^6 + 5*z^4 + 3*z^2 + 1+ comment: $10_{23}$; $a_2=3$, Arf invariant $1$, determinant $59$; the same polynomial+ as $10_{52}$+ '24':+ number: -4*z^4 - 2*z^2 + 1+ comment: $10_{24}$; $a_2=-2$, Arf invariant $0$, determinant $55$; the same+ polynomial as $10_{18}$+ '25':+ number: -2*z^6 - 4*z^4 + 1+ comment: $10_{25}$; $a_2=0$, Arf invariant $0$, determinant $65$; the same polynomial+ as $10_{56}$+ '26':+ number: -2*z^6 - 5*z^4 - 3*z^2 + 1+ comment: $10_{26}$; $a_2=-3$, Arf invariant $1$, determinant $61$+ '27':+ number: 2*z^6 + 4*z^4 + 2*z^2 + 1+ comment: $10_{27}$; $a_2=2$, Arf invariant $0$, determinant $71$+ '28':+ number: 4*z^4 + 3*z^2 + 1+ comment: $10_{28}$; $a_2=3$, Arf invariant $1$, determinant $53$; the same polynomial+ as $10_{37}$+ '29':+ number: z^6 - z^4 - 4*z^2 + 1+ comment: $10_{29}$; $a_2=-4$, Arf invariant $0$, determinant $63$+ '30':+ number: -4*z^4 + z^2 + 1+ comment: $10_{30}$; $a_2=1$, Arf invariant $1$, determinant $67$+ '31':+ number: 4*z^4 + 2*z^2 + 1+ comment: $10_{31}$; $a_2=2$, Arf invariant $0$, determinant $57$; the same polynomial+ as $10_{68}$+ '32':+ number: -2*z^6 - 4*z^4 - z^2 + 1+ comment: $10_{32}$; $a_2=-1$, Arf invariant $1$, determinant $69$+ '33':+ number: 4*z^4 + 1+ comment: $10_{33}$; $a_2=0$, Arf invariant $0$, determinant $65$+ '34':+ number: 3*z^4 + 3*z^2 + 1+ comment: $10_{34}$; $a_2=3$, Arf invariant $1$, determinant $37$; the same polynomial+ as $10_{135}$+ '35':+ number: 2*z^4 - 4*z^2 + 1+ comment: $10_{35}$; $a_2=-4$, Arf invariant $0$, determinant $49$+ '36':+ number: -3*z^4 + z^2 + 1+ comment: $10_{36}$; $a_2=1$, Arf invariant $1$, determinant $51$+ '37':+ number: 4*z^4 + 3*z^2 + 1+ comment: $10_{37}$; $a_2=3$, Arf invariant $1$, determinant $53$; the same polynomial+ as $10_{28}$+ '38':+ number: -4*z^4 - z^2 + 1+ comment: $10_{38}$; $a_2=-1$, Arf invariant $1$, determinant $59$+ '39':+ number: -2*z^6 - 4*z^4 + z^2 + 1+ comment: $10_{39}$; $a_2=1$, Arf invariant $1$, determinant $61$+ '40':+ number: 2*z^6 + 4*z^4 + 3*z^2 + 1+ comment: $10_{40}$; $a_2=3$, Arf invariant $1$, determinant $75$; the same polynomial+ as $10_{103}$+ '41':+ number: z^6 - z^4 - 2*z^2 + 1+ comment: $10_{41}$; $a_2=-2$, Arf invariant $0$, determinant $71$+ '42':+ number: -z^6 + z^4 + 1+ comment: $10_{42}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial+ as $10_{75}$+ '43':+ number: -z^6 + z^4 + 2*z^2 + 1+ comment: $10_{43}$; $a_2=2$, Arf invariant $0$, determinant $73$+ '44':+ number: z^6 - z^4 + 1+ comment: $10_{44}$; $a_2=0$, Arf invariant $0$, determinant $79$+ '45':+ number: -z^6 + z^4 - 2*z^2 + 1+ comment: $10_{45}$; $a_2=-2$, Arf invariant $0$, determinant $89$+ '46':+ number: -z^8 - 5*z^6 - 6*z^4 + 1+ comment: $10_{46}$; $a_2=0$, Arf invariant $0$, determinant $31$+ '47':+ number: z^8 + 5*z^6 + 8*z^4 + 6*z^2 + 1+ comment: $10_{47}$; $a_2=6$, Arf invariant $0$, determinant $41$+ '48':+ number: z^8 + 5*z^6 + 8*z^4 + 4*z^2 + 1+ comment: $10_{48}$; $a_2=4$, Arf invariant $0$, determinant $49$+ '49':+ number: 3*z^6 + 10*z^4 + 7*z^2 + 1+ comment: $10_{49}$; $a_2=7$, Arf invariant $1$, determinant $59$+ '50':+ number: -2*z^6 - 5*z^4 - z^2 + 1+ comment: $10_{50}$; $a_2=-1$, Arf invariant $1$, determinant $53$+ '51':+ number: 2*z^6 + 5*z^4 + 5*z^2 + 1+ comment: $10_{51}$; $a_2=5$, Arf invariant $1$, determinant $67$+ '52':+ number: 2*z^6 + 5*z^4 + 3*z^2 + 1+ comment: $10_{52}$; $a_2=3$, Arf invariant $1$, determinant $59$; the same polynomial+ as $10_{23}$+ '53':+ number: 6*z^4 + 6*z^2 + 1+ comment: $10_{53}$; $a_2=6$, Arf invariant $0$, determinant $73$+ '54':+ number: 2*z^6 + 6*z^4 + 4*z^2 + 1+ comment: $10_{54}$; $a_2=4$, Arf invariant $0$, determinant $47$; the same polynomial+ as $10_{12}$+ '55':+ number: 5*z^4 + 5*z^2 + 1+ comment: $10_{55}$; $a_2=5$, Arf invariant $1$, determinant $61$+ '56':+ number: -2*z^6 - 4*z^4 + 1+ comment: $10_{56}$; $a_2=0$, Arf invariant $0$, determinant $65$; the same polynomial+ as $10_{25}$+ '57':+ number: 2*z^6 + 4*z^4 + 4*z^2 + 1+ comment: $10_{57}$; $a_2=4$, Arf invariant $0$, determinant $79$+ '58':+ number: 3*z^4 - 4*z^2 + 1+ comment: $10_{58}$; $a_2=-4$, Arf invariant $0$, determinant $65$+ '59':+ number: z^6 - z^4 - z^2 + 1+ comment: $10_{59}$; $a_2=-1$, Arf invariant $1$, determinant $75$; the same+ polynomial as $9_{40}$+ '60':+ number: -z^6 + z^4 - z^2 + 1+ comment: $10_{60}$; $a_2=-1$, Arf invariant $1$, determinant $85$+ '61':+ number: -2*z^6 - 7*z^4 - 4*z^2 + 1+ comment: $10_{61}$; $a_2=-4$, Arf invariant $0$, determinant $33$+ '62':+ number: z^8 + 5*z^6 + 8*z^4 + 5*z^2 + 1+ comment: $10_{62}$; $a_2=5$, Arf invariant $1$, determinant $45$+ '63':+ number: 5*z^4 + 6*z^2 + 1+ comment: $10_{63}$; $a_2=6$, Arf invariant $0$, determinant $57$; the same polynomial+ as $9_{38}$+ '64':+ number: -z^8 - 5*z^6 - 8*z^4 - 3*z^2 + 1+ comment: $10_{64}$; $a_2=-3$, Arf invariant $1$, determinant $51$+ '65':+ number: 2*z^6 + 5*z^4 + 4*z^2 + 1+ comment: $10_{65}$; $a_2=4$, Arf invariant $0$, determinant $63$; the same polynomial+ as $10_{77}$+ '66':+ number: 3*z^6 + 9*z^4 + 7*z^2 + 1+ comment: $10_{66}$; $a_2=7$, Arf invariant $1$, determinant $75$+ '67':+ number: -4*z^4 + 1+ comment: $10_{67}$; $a_2=0$, Arf invariant $0$, determinant $63$; the same polynomial+ as $10_{74}$+ '68':+ number: 4*z^4 + 2*z^2 + 1+ comment: $10_{68}$; $a_2=2$, Arf invariant $0$, determinant $57$; the same polynomial+ as $10_{31}$+ '69':+ number: z^6 - z^4 + 2*z^2 + 1+ comment: $10_{69}$; $a_2=2$, Arf invariant $0$, determinant $87$+ '70':+ number: z^6 - z^4 - 3*z^2 + 1+ comment: $10_{70}$; $a_2=-3$, Arf invariant $1$, determinant $67$+ '71':+ number: -z^6 + z^4 + z^2 + 1+ comment: $10_{71}$; $a_2=1$, Arf invariant $1$, determinant $77$+ '72':+ number: -2*z^6 - 3*z^4 + 2*z^2 + 1+ comment: $10_{72}$; $a_2=2$, Arf invariant $0$, determinant $73$+ '73':+ number: z^6 - z^4 + z^2 + 1+ comment: $10_{73}$; $a_2=1$, Arf invariant $1$, determinant $83$+ '74':+ number: -4*z^4 + 1+ comment: $10_{74}$; $a_2=0$, Arf invariant $0$, determinant $63$; the same polynomial+ as $10_{67}$+ '75':+ number: -z^6 + z^4 + 1+ comment: $10_{75}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial+ as $10_{42}$+ '76':+ number: -2*z^6 - 5*z^4 - 2*z^2 + 1+ comment: $10_{76}$; $a_2=-2$, Arf invariant $0$, determinant $57$+ '77':+ number: 2*z^6 + 5*z^4 + 4*z^2 + 1+ comment: $10_{77}$; $a_2=4$, Arf invariant $0$, determinant $63$; the same polynomial+ as $10_{65}$+ '78':+ number: -z^6 + z^4 + 3*z^2 + 1+ comment: $10_{78}$; $a_2=3$, Arf invariant $1$, determinant $69$+ '79':+ number: z^8 + 5*z^6 + 9*z^4 + 5*z^2 + 1+ comment: $10_{79}$; $a_2=5$, Arf invariant $1$, determinant $61$+ '80':+ number: 3*z^6 + 9*z^4 + 6*z^2 + 1+ comment: $10_{80}$; $a_2=6$, Arf invariant $0$, determinant $71$+ '81':+ number: -z^6 + 2*z^4 + 3*z^2 + 1+ comment: $10_{81}$; $a_2=3$, Arf invariant $1$, determinant $85$+ '82':+ number: -z^8 - 4*z^6 - 4*z^4 + 1+ comment: $10_{82}$; $a_2=0$, Arf invariant $0$, determinant $63$+ '83':+ number: 2*z^6 + 3*z^4 + z^2 + 1+ comment: $10_{83}$; $a_2=1$, Arf invariant $1$, determinant $83$+ '84':+ number: 2*z^6 + 3*z^4 + 2*z^2 + 1+ comment: $10_{84}$; $a_2=2$, Arf invariant $0$, determinant $87$+ '85':+ number: z^8 + 4*z^6 + 4*z^4 + 2*z^2 + 1+ comment: $10_{85}$; $a_2=2$, Arf invariant $0$, determinant $57$+ '86':+ number: -2*z^6 - 3*z^4 - z^2 + 1+ comment: $10_{86}$; $a_2=-1$, Arf invariant $1$, determinant $85$+ '87':+ number: -2*z^6 - 3*z^4 + 1+ comment: $10_{87}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial+ as $10_{98}$+ '88':+ number: -z^6 + 2*z^4 - z^2 + 1+ comment: $10_{88}$; $a_2=-1$, Arf invariant $1$, determinant $101$+ '89':+ number: z^6 - 2*z^4 + z^2 + 1+ comment: $10_{89}$; $a_2=1$, Arf invariant $1$, determinant $99$+ '90':+ number: -2*z^6 - 4*z^4 - 3*z^2 + 1+ comment: $10_{90}$; $a_2=-3$, Arf invariant $1$, determinant $77$+ '91':+ number: z^8 + 4*z^6 + 5*z^4 + 2*z^2 + 1+ comment: $10_{91}$; $a_2=2$, Arf invariant $0$, determinant $73$+ '92':+ number: -2*z^6 - 2*z^4 + 2*z^2 + 1+ comment: $10_{92}$; $a_2=2$, Arf invariant $0$, determinant $89$+ '93':+ number: 2*z^6 + 4*z^4 + z^2 + 1+ comment: $10_{93}$; $a_2=1$, Arf invariant $1$, determinant $67$+ '94':+ number: -z^8 - 4*z^6 - 5*z^4 - 2*z^2 + 1+ comment: $10_{94}$; $a_2=-2$, Arf invariant $0$, determinant $71$+ '95':+ number: 2*z^6 + 3*z^4 + 3*z^2 + 1+ comment: $10_{95}$; $a_2=3$, Arf invariant $1$, determinant $91$+ '96':+ number: -z^6 + z^4 - 3*z^2 + 1+ comment: $10_{96}$; $a_2=-3$, Arf invariant $1$, determinant $93$+ '97':+ number: -5*z^4 + 2*z^2 + 1+ comment: $10_{97}$; $a_2=2$, Arf invariant $0$, determinant $87$+ '98':+ number: -2*z^6 - 3*z^4 + 1+ comment: $10_{98}$; $a_2=0$, Arf invariant $0$, determinant $81$; the same polynomial+ as $10_{87}$+ '99':+ number: z^8 + 4*z^6 + 6*z^4 + 4*z^2 + 1+ comment: $10_{99}$; $a_2=4$, Arf invariant $0$, determinant $81$+ '100':+ number: z^8 + 4*z^6 + 5*z^4 + 4*z^2 + 1+ comment: $10_{100}$; $a_2=4$, Arf invariant $0$, determinant $65$+ '101':+ number: 7*z^4 + 7*z^2 + 1+ comment: $10_{101}$; $a_2=7$, Arf invariant $1$, determinant $85$+ '102':+ number: -2*z^6 - 4*z^4 - 2*z^2 + 1+ comment: $10_{102}$; $a_2=-2$, Arf invariant $0$, determinant $73$+ '103':+ number: 2*z^6 + 4*z^4 + 3*z^2 + 1+ comment: $10_{103}$; $a_2=3$, Arf invariant $1$, determinant $75$; the same+ polynomial as $10_{40}$+ '104':+ number: z^8 + 4*z^6 + 5*z^4 + z^2 + 1+ comment: $10_{104}$; $a_2=1$, Arf invariant $1$, determinant $77$+ '105':+ number: z^6 - 2*z^4 - z^2 + 1+ comment: $10_{105}$; $a_2=-1$, Arf invariant $1$, determinant $91$+ '106':+ number: -z^8 - 4*z^6 - 5*z^4 - z^2 + 1+ comment: $10_{106}$; $a_2=-1$, Arf invariant $1$, determinant $75$+ '107':+ number: -z^6 + 2*z^4 + z^2 + 1+ comment: $10_{107}$; $a_2=1$, Arf invariant $1$, determinant $93$+ '108':+ number: 2*z^6 + 4*z^4 + 1+ comment: $10_{108}$; $a_2=0$, Arf invariant $0$, determinant $63$+ '109':+ number: z^8 + 4*z^6 + 6*z^4 + 3*z^2 + 1+ comment: $10_{109}$; $a_2=3$, Arf invariant $1$, determinant $85$+ '110':+ number: z^6 - 2*z^4 - 3*z^2 + 1+ comment: $10_{110}$; $a_2=-3$, Arf invariant $1$, determinant $83$+ '111':+ number: -2*z^6 - 3*z^4 + z^2 + 1+ comment: $10_{111}$; $a_2=1$, Arf invariant $1$, determinant $77$+ '112':+ number: -z^8 - 3*z^6 - z^4 + 2*z^2 + 1+ comment: $10_{112}$; $a_2=2$, Arf invariant $0$, determinant $87$+ '113':+ number: 2*z^6 + z^4 + 1+ comment: $10_{113}$; $a_2=0$, Arf invariant $0$, determinant $111$+ '114':+ number: -2*z^6 - 2*z^4 + z^2 + 1+ comment: $10_{114}$; $a_2=1$, Arf invariant $1$, determinant $93$+ '115':+ number: -z^6 + 3*z^4 + z^2 + 1+ comment: $10_{115}$; $a_2=1$, Arf invariant $1$, determinant $109$+ '116':+ number: -z^8 - 3*z^6 - 2*z^4 + 1+ comment: $10_{116}$; $a_2=0$, Arf invariant $0$, determinant $95$+ '117':+ number: 2*z^6 + 2*z^4 + 2*z^2 + 1+ comment: $10_{117}$; $a_2=2$, Arf invariant $0$, determinant $103$+ '118':+ number: z^8 + 3*z^6 + 2*z^4 + 1+ comment: $10_{118}$; $a_2=0$, Arf invariant $0$, determinant $97$+ '119':+ number: -2*z^6 - 2*z^4 - z^2 + 1+ comment: $10_{119}$; $a_2=-1$, Arf invariant $1$, determinant $101$+ '120':+ number: 8*z^4 + 6*z^2 + 1+ comment: $10_{120}$; $a_2=6$, Arf invariant $0$, determinant $105$+ '121':+ number: 2*z^6 + z^4 + z^2 + 1+ comment: $10_{121}$; $a_2=1$, Arf invariant $1$, determinant $115$+ '122':+ number: -2*z^6 - z^4 + 2*z^2 + 1+ comment: $10_{122}$; $a_2=2$, Arf invariant $0$, determinant $105$+ '123':+ number: z^8 + 2*z^6 - z^4 - 2*z^2 + 1+ comment: $10_{123}$; $a_2=-2$, Arf invariant $0$, determinant $121$+ '124':+ number: z^8 + 7*z^6 + 14*z^4 + 8*z^2 + 1+ comment: $10_{124}$; the torus knot $T(3,5)$; $a_2=8$, Arf invariant $0$, determinant+ $1$+ '125':+ number: z^6 + 4*z^4 + 3*z^2 + 1+ comment: $10_{125}$; $a_2=3$, Arf invariant $1$, determinant $11$+ '126':+ number: z^6 + 4*z^4 + 5*z^2 + 1+ comment: $10_{126}$; $a_2=5$, Arf invariant $1$, determinant $19$+ '127':+ number: -z^6 - 2*z^4 + z^2 + 1+ comment: $10_{127}$; $a_2=1$, Arf invariant $1$, determinant $29$; the same+ polynomial as $10_{150}$+ '128':+ number: 2*z^6 + 9*z^4 + 7*z^2 + 1+ comment: $10_{128}$; $a_2=7$, Arf invariant $1$, determinant $11$+ '129':+ number: 2*z^4 + 2*z^2 + 1+ comment: $10_{129}$; $a_2=2$, Arf invariant $0$, determinant $25$; the same+ polynomial as $8_8$+ '130':+ number: 2*z^4 + 4*z^2 + 1+ comment: $10_{130}$; $a_2=4$, Arf invariant $0$, determinant $17$; the same+ polynomial as $7_5$+ '131':+ number: -2*z^4 + 1+ comment: $10_{131}$; $a_2=0$, Arf invariant $0$, determinant $31$; the same+ polynomial as $8_{14}$, $9_8$+ '132':+ number: z^4 + 3*z^2 + 1+ comment: $10_{132}$; $\nabla=F_{5}$; $a_2=3$, Arf invariant $1$, determinant+ $5$; the same polynomial as $5_1$+ equals: HREF{Fibonacci_polynomials#5}[$F_{5}$]+ '133':+ number: -z^4 + z^2 + 1+ comment: $10_{133}$; $a_2=1$, Arf invariant $1$, determinant $19$; the same+ polynomial as $7_6$+ '134':+ number: 2*z^6 + 8*z^4 + 6*z^2 + 1+ comment: $10_{134}$; $a_2=6$, Arf invariant $0$, determinant $23$+ '135':+ number: 3*z^4 + 3*z^2 + 1+ comment: $10_{135}$; $a_2=3$, Arf invariant $1$, determinant $37$; the same+ polynomial as $10_{34}$+ '136':+ number: -z^4 + 1+ comment: $10_{136}$; $a_2=0$, Arf invariant $0$, determinant $15$; the same+ polynomial as $8_{21}$+ '137':+ number: z^4 - 2*z^2 + 1+ comment: $10_{137}$; $a_2=-2$, Arf invariant $0$, determinant $25$+ '138':+ number: z^6 + z^4 - 3*z^2 + 1+ comment: $10_{138}$; $a_2=-3$, Arf invariant $1$, determinant $35$+ '139':+ number: z^8 + 7*z^6 + 14*z^4 + 9*z^2 + 1+ comment: $10_{139}$; $a_2=9$, Arf invariant $1$, determinant $3$+ '140':+ number: z^4 + 2*z^2 + 1+ comment: $10_{140}$; $a_2=2$, Arf invariant $0$, determinant $9$; the same polynomial+ as $8_{20}$+ '141':+ number: -z^6 - 3*z^4 - z^2 + 1+ comment: $10_{141}$; $a_2=-1$, Arf invariant $1$, determinant $21$; the same+ polynomial as $8_5$+ '142':+ number: 2*z^6 + 9*z^4 + 8*z^2 + 1+ comment: $10_{142}$; $a_2=8$, Arf invariant $0$, determinant $15$+ '143':+ number: z^6 + 3*z^4 + 3*z^2 + 1+ comment: $10_{143}$; $a_2=3$, Arf invariant $1$, determinant $27$; the same+ polynomial as $8_{10}$+ '144':+ number: -3*z^4 - 2*z^2 + 1+ comment: $10_{144}$; $a_2=-2$, Arf invariant $0$, determinant $39$+ '145':+ number: z^4 + 5*z^2 + 1+ comment: $10_{145}$; $a_2=5$, Arf invariant $1$, determinant $3$+ '146':+ number: 2*z^4 + 1+ comment: $10_{146}$; $a_2=0$, Arf invariant $0$, determinant $33$+ '147':+ number: -2*z^4 - z^2 + 1+ comment: $10_{147}$; $a_2=-1$, Arf invariant $1$, determinant $27$; the same+ polynomial as $8_{11}$+ '148':+ number: z^6 + 3*z^4 + 4*z^2 + 1+ comment: $10_{148}$; $a_2=4$, Arf invariant $0$, determinant $31$+ '149':+ number: -z^6 - z^4 + 2*z^2 + 1+ comment: $10_{149}$; $a_2=2$, Arf invariant $0$, determinant $41$; the same+ polynomial as $9_{20}$+ '150':+ number: -z^6 - 2*z^4 + z^2 + 1+ comment: $10_{150}$; $a_2=1$, Arf invariant $1$, determinant $29$; the same+ polynomial as $10_{127}$+ '151':+ number: z^6 + 2*z^4 + 3*z^2 + 1+ comment: $10_{151}$; $a_2=3$, Arf invariant $1$, determinant $43$+ '152':+ number: z^8 + 7*z^6 + 13*z^4 + 7*z^2 + 1+ comment: $10_{152}$; $a_2=7$, Arf invariant $1$, determinant $11$+ '153':+ number: z^6 + 5*z^4 + 4*z^2 + 1+ comment: $10_{153}$; $a_2=4$, Arf invariant $0$, determinant $1$+ '154':+ number: z^6 + 6*z^4 + 5*z^2 + 1+ comment: $10_{154}$; $a_2=5$, Arf invariant $1$, determinant $13$+ '155':+ number: -z^6 - 3*z^4 - 2*z^2 + 1+ comment: $10_{155}$; $a_2=-2$, Arf invariant $0$, determinant $25$; the same+ polynomial as $8_9$+ '156':+ number: z^6 + 2*z^4 + z^2 + 1+ comment: $10_{156}$; $a_2=1$, Arf invariant $1$, determinant $35$; the same+ polynomial as $8_{16}$+ '157':+ number: -z^6 + 4*z^2 + 1+ comment: $10_{157}$; $a_2=4$, Arf invariant $0$, determinant $49$+ '158':+ number: -z^6 - 2*z^4 - 3*z^2 + 1+ comment: $10_{158}$; $a_2=-3$, Arf invariant $1$, determinant $45$+ '159':+ number: z^6 + 2*z^4 + 2*z^2 + 1+ comment: $10_{159}$; $a_2=2$, Arf invariant $0$, determinant $39$+ '160':+ number: -z^6 - 2*z^4 + 3*z^2 + 1+ comment: $10_{160}$; $a_2=3$, Arf invariant $1$, determinant $21$+ '161':+ number: z^6 + 6*z^4 + 7*z^2 + 1+ comment: $10_{161}$, the Perko pair, listed twice by Rolfsen as $10_{161}$ and+ $10_{162}$; $a_2=7$, Arf invariant $1$, determinant $5$+ '162':+ number: -3*z^4 - 3*z^2 + 1+ comment: $10_{162}$; $a_2=-3$, Arf invariant $1$, determinant $35$; the same+ polynomial as $10_{20}$+ '163':+ number: z^6 + z^4 + z^2 + 1+ comment: $10_{163}$; $a_2=1$, Arf invariant $1$, determinant $51$; the same+ polynomial as $9_{28}$, $9_{29}$+ '164':+ number: 3*z^4 + z^2 + 1+ comment: $10_{164}$; $a_2=1$, Arf invariant $1$, determinant $45$; the same+ polynomial as $10_{10}$+ '165':+ number: -2*z^4 + 2*z^2 + 1+ comment: $10_{165}$; $a_2=2$, Arf invariant $0$, determinant $39$; the same+ polynomial as $9_{15}$
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