Magma V2.19-8 Wed Aug 21 2013 00:04:28 on localhost [Seed = 2598171868] Type ? for help. Type -D to quit. Loading file "K13n1978__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1978 geometric_solution 11.45561701 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 -1 0 1 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584479468701 1.237548052498 0 4 6 5 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 0 0 0 1 0 -1 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 0.111579105799 0.711871156234 3 0 5 7 0213 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111579105799 0.711871156234 2 8 9 0 0213 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 0 -1 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 -0.342858703650 1.079835476524 1 9 0 9 1023 3012 0132 0132 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 -1 1 0 0 0 0 0 0 -1 0 1 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053681229307 0.801267905218 7 2 1 8 0321 1230 0132 3120 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 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115706903831 0.893151503122 10 10 11 1 0132 1230 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 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201045995225 0.494920304382 5 12 2 9 0321 0132 0132 0321 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267107800361 0.841257567086 5 3 12 11 3120 0132 0132 2031 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319511290338 0.475397507036 4 7 4 3 1230 0321 0132 0132 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 0 0 0 0 0 0 0 1 0 0 -1 -6 6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053681229307 0.801267905218 6 11 6 12 0132 2031 3012 0132 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 -1 7 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295479219268 1.734337651703 10 8 12 6 1302 1302 2103 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 0 0 0 -1 0 0 1 0 -1 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061118940251 0.802173975998 11 7 10 8 2103 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.208744539541 0.720667787036 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_1'], '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_12' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_1001_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_6']), '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'], 'c_1100_12' : negation(d['c_1001_6']), '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_5'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], '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_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_8, c_0101_9, c_1001_0, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5/3888*c_1100_0^3 + 1/3888*c_1100_0^2 + 17/1296*c_1100_0 + 11/432, c_0011_0 - 1, c_0011_10 - 1/9*c_1100_0^3 + 4/9*c_1100_0^2 - 2*c_1100_0 + 3, c_0011_11 - 2/9*c_1100_0^3 + 5/9*c_1100_0^2 - 8/3*c_1100_0 + 3, c_0011_12 - 2/9*c_1100_0^3 + 5/9*c_1100_0^2 - 11/3*c_1100_0 + 4, c_0011_3 - 1/9*c_1100_0^3 + 4/9*c_1100_0^2 - 2*c_1100_0 + 3, c_0011_5 + 1, c_0101_0 + 1/9*c_1100_0^3 - 1/9*c_1100_0^2 + 2/3*c_1100_0 - 1, c_0101_1 + 2/9*c_1100_0^3 - 5/9*c_1100_0^2 + 8/3*c_1100_0 - 3, c_0101_8 - 2, c_0101_9 - 1/9*c_1100_0^3 + 4/9*c_1100_0^2 - 2*c_1100_0 + 2, c_1001_0 + 1/9*c_1100_0^3 - 4/9*c_1100_0^2 + 2*c_1100_0 - 3, c_1001_6 - 1/3*c_1100_0^2 + 1/3*c_1100_0 - 2, c_1100_0^4 - 4*c_1100_0^3 + 18*c_1100_0^2 - 36*c_1100_0 + 27 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_8, c_0101_9, c_1001_0, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 139748035/47422076*c_1100_0^7 + 505459609/47422076*c_1100_0^6 + 2309892835/47422076*c_1100_0^5 + 117088449/803764*c_1100_0^4 + 4739700605/23711038*c_1100_0^3 + 131991845/817622*c_1100_0^2 + 1735533334/11855519*c_1100_0 + 1828728529/23711038, c_0011_0 - 1, c_0011_10 + 4330/70151*c_1100_0^7 + 19599/70151*c_1100_0^6 + 84027/70151*c_1100_0^5 + 4584/1189*c_1100_0^4 + 456737/70151*c_1100_0^3 + 13165/2419*c_1100_0^2 + 295277/70151*c_1100_0 + 181751/70151, c_0011_11 - 10072/70151*c_1100_0^7 - 37521/70151*c_1100_0^6 - 165256/70151*c_1100_0^5 - 8644/1189*c_1100_0^4 - 672874/70151*c_1100_0^3 - 18556/2419*c_1100_0^2 - 544532/70151*c_1100_0 - 295721/70151, c_0011_12 - 10072/70151*c_1100_0^7 - 37521/70151*c_1100_0^6 - 165256/70151*c_1100_0^5 - 8644/1189*c_1100_0^4 - 672874/70151*c_1100_0^3 - 18556/2419*c_1100_0^2 - 474381/70151*c_1100_0 - 225570/70151, c_0011_3 - 21012/70151*c_1100_0^7 - 72620/70151*c_1100_0^6 - 333164/70151*c_1100_0^5 - 16656/1189*c_1100_0^4 - 1238583/70151*c_1100_0^3 - 31360/2419*c_1100_0^2 - 887482/70151*c_1100_0 - 381651/70151, c_0011_5 + 1, c_0101_0 + 10940/70151*c_1100_0^7 + 35099/70151*c_1100_0^6 + 167908/70151*c_1100_0^5 + 8012/1189*c_1100_0^4 + 565709/70151*c_1100_0^3 + 12804/2419*c_1100_0^2 + 342950/70151*c_1100_0 + 156081/70151, c_0101_1 + 10072/70151*c_1100_0^7 + 37521/70151*c_1100_0^6 + 165256/70151*c_1100_0^5 + 8644/1189*c_1100_0^4 + 672874/70151*c_1100_0^3 + 18556/2419*c_1100_0^2 + 544532/70151*c_1100_0 + 295721/70151, c_0101_8 - 11428/70151*c_1100_0^7 - 45052/70151*c_1100_0^6 - 193968/70151*c_1100_0^5 - 10347/1189*c_1100_0^4 - 855568/70151*c_1100_0^3 - 23014/2419*c_1100_0^2 - 697076/70151*c_1100_0 - 343307/70151, c_0101_9 + 21012/70151*c_1100_0^7 + 72620/70151*c_1100_0^6 + 333164/70151*c_1100_0^5 + 16656/1189*c_1100_0^4 + 1238583/70151*c_1100_0^3 + 31360/2419*c_1100_0^2 + 887482/70151*c_1100_0 + 451802/70151, c_1001_0 - 21012/70151*c_1100_0^7 - 72620/70151*c_1100_0^6 - 333164/70151*c_1100_0^5 - 16656/1189*c_1100_0^4 - 1238583/70151*c_1100_0^3 - 31360/2419*c_1100_0^2 - 887482/70151*c_1100_0 - 381651/70151, c_1001_6 + 16889/70151*c_1100_0^7 + 49049/70151*c_1100_0^6 + 250416/70151*c_1100_0^5 + 11335/1189*c_1100_0^4 + 747965/70151*c_1100_0^3 + 19978/2419*c_1100_0^2 + 547203/70151*c_1100_0 + 203129/70151, c_1100_0^8 + 4*c_1100_0^7 + 18*c_1100_0^6 + 56*c_1100_0^5 + 88*c_1100_0^4 + 84*c_1100_0^3 + 74*c_1100_0^2 + 48*c_1100_0 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 12.720 Total time: 12.939 seconds, Total memory usage: 139.84MB