Magma V2.19-8 Thu Sep 12 2013 15:35:32 on localhost [Seed = 3417017871] Type ? for help. Type -D to quit. Loading file "10_117__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_117 geometric_solution 16.12544352 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 17 1 1 2 3 0132 1302 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 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 0.119116541608 0.710763468366 0 4 5 0 0132 0132 0132 2031 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687577626482 0.554789687459 6 7 5 0 0132 0132 1302 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 1 0 -1 0 0 0 0 7 -8 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147488693244 0.897729251260 7 8 0 5 3012 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 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 -0.290278930395 0.863561035019 9 1 9 10 0132 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199657105283 1.071779011292 2 11 3 1 2031 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 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 1.002751647284 0.597314400015 2 12 7 13 0132 0132 1023 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 0 0 -1 1 1 -1 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391769576741 0.510249496040 10 2 6 3 0132 0132 1023 1230 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 1 0 0 0 0 0 0 -1 0 1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.061232282854 1.104747295095 9 3 14 14 2031 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569363445357 0.633590978130 4 4 8 15 0132 1230 1302 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 1 0 -1 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 0.447304104960 0.599007193698 7 11 4 14 0132 0213 0132 2310 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 0 0 0 0 0 0 0 8 -1 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685028421844 0.782812027115 16 5 10 15 0132 0132 0213 1023 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 0 0 0 0 0 0.289722103570 0.632905061049 16 6 16 14 3012 0132 1023 3012 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 -1 1 0 -7 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713046030012 0.715308611530 16 15 6 15 1302 0132 0132 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501356499027 0.924951127847 10 8 12 8 3201 0321 1230 0132 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 -1 1 7 0 -7 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 0.215333758304 0.873181191445 13 13 9 11 3012 0132 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451596236664 0.837681525214 11 13 12 12 0132 2031 1023 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483080179793 1.204205025217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_15'], 'c_1001_14' : d['c_0110_12'], 'c_1001_16' : d['c_0011_13'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_13' : d['c_0101_16'], 'c_1001_12' : d['c_0101_16'], 's_0_10' : d['1'], 'c_1001_5' : d['c_0110_15'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_14']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_14']), 'c_1001_8' : d['c_1001_3'], 'c_1010_13' : d['c_0101_15'], 'c_1010_12' : negation(d['c_0101_14']), 'c_1010_11' : d['c_0110_15'], 'c_1010_10' : negation(d['c_0101_8']), 'c_1010_16' : d['c_0011_13'], 'c_1010_15' : d['c_0101_16'], 'c_1010_14' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_3'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : negation(d['c_0011_13']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_12'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0011_14'], 'c_1100_7' : negation(d['c_0110_15']), 'c_1100_6' : d['c_0110_15'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 'c_1100_15' : d['c_0101_8'], 'c_1100_14' : d['c_0110_12'], 'c_1100_16' : d['c_0110_12'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0011_14'], 'c_1100_13' : d['c_0110_15'], 's_3_10' : d['1'], 'c_1100_9' : d['c_0101_8'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_16'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_15'], 's_0_15' : d['1'], '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_0110_12']), '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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_11'], '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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_16'], 'c_0110_10' : negation(d['c_0101_14']), 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : d['c_0110_12'], 'c_0110_15' : d['c_0110_15'], 'c_0110_14' : d['c_0101_8'], 'c_0110_16' : d['c_0011_10'], 'c_1010_4' : d['c_1001_1'], 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : negation(d['c_0011_10']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_3'], 'c_0101_7' : negation(d['c_0101_14']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_15'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_15'], 'c_0110_8' : negation(d['c_0011_14']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0110_15']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_3, c_0101_0, c_0101_1, c_0101_14, c_0101_15, c_0101_16, c_0101_5, c_0101_8, c_0110_12, c_0110_15, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 71013315091/537370*c_1001_3^8 - 46764036672/53737*c_1001_3^7 + 1084221306633/537370*c_1001_3^6 - 733639721183/268685*c_1001_3^5 + 332607978643/107474*c_1001_3^4 - 648805240039/268685*c_1001_3^3 + 738933257767/537370*c_1001_3^2 - 615947904219/537370*c_1001_3 + 170228555083/537370, c_0011_0 - 1, c_0011_10 + 8/5*c_1001_3^8 - 10*c_1001_3^7 + 109/5*c_1001_3^6 - 148/5*c_1001_3^5 + 34*c_1001_3^4 - 129/5*c_1001_3^3 + 76/5*c_1001_3^2 - 57/5*c_1001_3 + 14/5, c_0011_11 + 38/5*c_1001_3^8 - 50*c_1001_3^7 + 579/5*c_1001_3^6 - 783/5*c_1001_3^5 + 177*c_1001_3^4 - 689/5*c_1001_3^3 + 396/5*c_1001_3^2 - 332/5*c_1001_3 + 94/5, c_0011_13 + 11/5*c_1001_3^8 - 15*c_1001_3^7 + 183/5*c_1001_3^6 - 256/5*c_1001_3^5 + 58*c_1001_3^4 - 233/5*c_1001_3^3 + 132/5*c_1001_3^2 - 104/5*c_1001_3 + 33/5, c_0011_14 - 28/5*c_1001_3^8 + 37*c_1001_3^7 - 434/5*c_1001_3^6 + 598/5*c_1001_3^5 - 135*c_1001_3^4 + 529/5*c_1001_3^3 - 301/5*c_1001_3^2 + 237/5*c_1001_3 - 69/5, c_0011_3 - 7/5*c_1001_3^8 + 10*c_1001_3^7 - 126/5*c_1001_3^6 + 172/5*c_1001_3^5 - 40*c_1001_3^4 + 166/5*c_1001_3^3 - 89/5*c_1001_3^2 + 83/5*c_1001_3 - 26/5, c_0101_0 + 2/5*c_1001_3^8 - 3*c_1001_3^7 + 41/5*c_1001_3^6 - 62/5*c_1001_3^5 + 15*c_1001_3^4 - 66/5*c_1001_3^3 + 39/5*c_1001_3^2 - 28/5*c_1001_3 + 11/5, c_0101_1 + 48/5*c_1001_3^8 - 64*c_1001_3^7 + 754/5*c_1001_3^6 - 1028/5*c_1001_3^5 + 234*c_1001_3^4 - 929/5*c_1001_3^3 + 531/5*c_1001_3^2 - 447/5*c_1001_3 + 129/5, c_0101_14 + 7/5*c_1001_3^8 - 9*c_1001_3^7 + 101/5*c_1001_3^6 - 137/5*c_1001_3^5 + 32*c_1001_3^4 - 126/5*c_1001_3^3 + 74/5*c_1001_3^2 - 58/5*c_1001_3 + 16/5, c_0101_15 + 8/5*c_1001_3^8 - 10*c_1001_3^7 + 109/5*c_1001_3^6 - 148/5*c_1001_3^5 + 34*c_1001_3^4 - 129/5*c_1001_3^3 + 81/5*c_1001_3^2 - 62/5*c_1001_3 + 14/5, c_0101_16 - 8/5*c_1001_3^8 + 11*c_1001_3^7 - 134/5*c_1001_3^6 + 183/5*c_1001_3^5 - 41*c_1001_3^4 + 159/5*c_1001_3^3 - 86/5*c_1001_3^2 + 77/5*c_1001_3 - 24/5, c_0101_5 + 32/5*c_1001_3^8 - 43*c_1001_3^7 + 511/5*c_1001_3^6 - 697/5*c_1001_3^5 + 158*c_1001_3^4 - 626/5*c_1001_3^3 + 349/5*c_1001_3^2 - 293/5*c_1001_3 + 86/5, c_0101_8 + 19/5*c_1001_3^8 - 25*c_1001_3^7 + 292/5*c_1001_3^6 - 404/5*c_1001_3^5 + 92*c_1001_3^4 - 362/5*c_1001_3^3 + 208/5*c_1001_3^2 - 161/5*c_1001_3 + 47/5, c_0110_12 + 2/5*c_1001_3^8 - 3*c_1001_3^7 + 41/5*c_1001_3^6 - 62/5*c_1001_3^5 + 15*c_1001_3^4 - 66/5*c_1001_3^3 + 39/5*c_1001_3^2 - 33/5*c_1001_3 + 11/5, c_0110_15 - 8*c_1001_3^8 + 53*c_1001_3^7 - 124*c_1001_3^6 + 169*c_1001_3^5 - 192*c_1001_3^4 + 151*c_1001_3^3 - 87*c_1001_3^2 + 72*c_1001_3 - 21, c_1001_1 - 73/5*c_1001_3^8 + 97*c_1001_3^7 - 1139/5*c_1001_3^6 + 1553/5*c_1001_3^5 - 352*c_1001_3^4 + 1384/5*c_1001_3^3 - 786/5*c_1001_3^2 + 647/5*c_1001_3 - 189/5, c_1001_3^9 - 7*c_1001_3^8 + 18*c_1001_3^7 - 27*c_1001_3^6 + 32*c_1001_3^5 - 28*c_1001_3^4 + 18*c_1001_3^3 - 13*c_1001_3^2 + 6*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2716.470 Total time: 2716.659 seconds, Total memory usage: 4671.31MB