Magma V2.19-8 Tue Aug 20 2013 23:44:13 on localhost [Seed = 492534015] Type ? for help. Type -D to quit. Loading file "K13n1779__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1779 geometric_solution 10.69771592 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166323333204 0.830803082755 0 5 2 6 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.306520944029 1.069037691965 3 0 7 1 1023 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257634446317 1.724402577052 5 2 8 0 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239153305754 0.600591161304 7 6 0 9 2031 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884826057854 1.777484792725 3 1 7 10 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216234316505 0.581369349579 4 11 1 10 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469148424205 0.451221173558 11 5 4 2 3120 1230 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491731975012 0.458383958687 11 11 9 3 2310 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367774377757 0.971929629226 10 10 4 8 3120 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 1 0 -12 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474349901726 0.746936184762 9 6 5 9 1230 0321 0132 3120 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 -11 -1 0 1 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.562016023898 1.511040872456 8 6 8 7 1023 0132 3201 3120 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 12 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236762925115 0.673458105288 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0110_2']), 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_9, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 87016318/20125*c_1100_0^2 - 889243788/20125*c_1100_0 + 557279787/4025, c_0011_0 - 1, c_0011_10 - 1/5*c_1100_0^2 + 1/5*c_1100_0, c_0011_11 - 1/5*c_1100_0^2 + 6/5*c_1100_0 - 1, c_0011_7 - 1/25*c_1100_0^2 + 16/25*c_1100_0 - 4/5, c_0011_9 - 4/25*c_1100_0^2 + 14/25*c_1100_0 - 1/5, c_0101_0 + 1/25*c_1100_0^2 - 16/25*c_1100_0 - 1/5, c_0101_1 - 2/25*c_1100_0^2 + 7/25*c_1100_0 + 2/5, c_0101_10 - 7/25*c_1100_0^2 + 37/25*c_1100_0 - 8/5, c_0101_2 + 1/25*c_1100_0^2 - 16/25*c_1100_0 - 6/5, c_0101_9 - 1/5*c_1100_0^2 + 6/5*c_1100_0 - 1, c_0110_2 + 2/25*c_1100_0^2 - 7/25*c_1100_0 - 2/5, c_1100_0^3 - 11*c_1100_0^2 + 40*c_1100_0 - 25 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_9, c_0110_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2315987510710/3379711573*c_1100_0^5 - 27630532586273/6759423146*c_1100_0^4 - 16150417344087/3379711573*c_1100_0^3 + 27082408170345/6759423146*c_1100_0^2 - 105380531670072/3379711573*c_1100_0 + 96988764308363/6759423146, c_0011_0 - 1, c_0011_10 + 1289505/8183321*c_1100_0^5 + 7248297/8183321*c_1100_0^4 + 6643836/8183321*c_1100_0^3 - 9403115/8183321*c_1100_0^2 + 57470823/8183321*c_1100_0 - 37721761/8183321, c_0011_11 + 3065765/8183321*c_1100_0^5 + 18018921/8183321*c_1100_0^4 + 20047655/8183321*c_1100_0^3 - 19531779/8183321*c_1100_0^2 + 138504298/8183321*c_1100_0 - 74571482/8183321, c_0011_7 - 108305/8183321*c_1100_0^5 - 825342/8183321*c_1100_0^4 - 2001591/8183321*c_1100_0^3 - 740946/8183321*c_1100_0^2 - 1393682/8183321*c_1100_0 - 4357186/8183321, c_0011_9 - 810665/8183321*c_1100_0^5 - 4526756/8183321*c_1100_0^4 - 4336565/8183321*c_1100_0^3 + 6369141/8183321*c_1100_0^2 - 35112415/8183321*c_1100_0 + 23539277/8183321, c_0101_0 - 108305/8183321*c_1100_0^5 - 825342/8183321*c_1100_0^4 - 2001591/8183321*c_1100_0^3 - 740946/8183321*c_1100_0^2 - 1393682/8183321*c_1100_0 - 4357186/8183321, c_0101_1 + 317000/8183321*c_1100_0^5 + 1675240/8183321*c_1100_0^4 + 1552061/8183321*c_1100_0^3 - 85587/8183321*c_1100_0^2 + 19343444/8183321*c_1100_0 - 10166287/8183321, c_0101_10 - 3227605/8183321*c_1100_0^5 - 19065222/8183321*c_1100_0^4 - 20802865/8183321*c_1100_0^3 + 22480166/8183321*c_1100_0^2 - 149702583/8183321*c_1100_0 + 78587679/8183321, c_0101_2 + 277055/8183321*c_1100_0^5 + 1200832/8183321*c_1100_0^4 - 1218678/8183321*c_1100_0^3 - 7765446/8183321*c_1100_0^2 + 12981607/8183321*c_1100_0 - 13904041/8183321, c_0101_9 + 1559650/8183321*c_1100_0^5 + 9119940/8183321*c_1100_0^4 + 9400637/8183321*c_1100_0^3 - 11610556/8183321*c_1100_0^2 + 70062790/8183321*c_1100_0 - 37380772/8183321, c_0110_2 - 1080810/8183321*c_1100_0^5 - 6398399/8183321*c_1100_0^4 - 7093366/8183321*c_1100_0^3 + 8576582/8183321*c_1100_0^2 - 47704382/8183321*c_1100_0 + 23198288/8183321, c_1100_0^6 + 27/5*c_1100_0^5 + 18/5*c_1100_0^4 - 49/5*c_1100_0^3 + 244/5*c_1100_0^2 - 233/5*c_1100_0 + 59/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.990 Total time: 7.200 seconds, Total memory usage: 64.12MB