History of Conway polynomials of the prime knots with at most ten crossings

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2026-09-03 09:07 zeta3 After the critique: the Definition names Perko's correction, since the stored polynomials follow KnotInfo's 165-knot numbering; N(n) counts the knots listed, the unknot among them; the issue tracker is no longer cited; the rigour details keep every check and lose the build's log current reviewed
2026-09-03 08:52 zeta3 with Claude Code, table-build@8 Conway polynomials of the unknot and the 249 prime knots with at most ten crossings, each checked against a Burau determinant and, outside the generator, against KnotInfo
2026-09-03 08:52 zeta3 checking that this table can be written to
2026-09-03 08:51 zeta3 with Claude Code, table-build@8390298, run 20260903T083450Z draft: Conway polynomials of the prime knots with at most ten crossings, proposal 4 of BATCH-2026-09-03T0305

What changed between 2026-09-03 08:52 and 2026-09-03 08:52

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 Display properties:   number-header: $\nabla_{n_k}(z)$-Numbers: []+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 $9_{15}$ 

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