Magma V2.19-8 Thu Sep 12 2013 15:24:54 on localhost [Seed = 2600132063] Type ? for help. Type -D to quit. Loading file "10^3_73__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_73 geometric_solution 15.86374431 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 2 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.393345984683 2.306518358731 0 4 6 5 0132 1023 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 -1 0 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670130525279 1.065872825133 7 0 8 3 0132 0132 0132 3120 0 1 1 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 2 0 0 -2 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347148348615 0.625402200455 2 9 10 0 3120 0132 0132 0132 0 1 1 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 2 0 0 -2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299783643716 0.743725145182 1 11 0 12 1023 0132 0132 0132 0 1 1 0 0 -1 0 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 -1 1 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 0.263587685033 0.542611592384 7 13 1 13 2103 0132 0132 1230 1 1 2 1 0 0 0 0 0 0 -1 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 0 0 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467141756417 0.642362672689 9 14 8 1 3120 0132 3120 0132 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 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 0.287984271205 0.853036545712 2 11 5 11 0132 1023 2103 1302 2 1 0 1 0 1 0 -1 1 0 0 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 -2 0 0 2 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692094489024 0.554704594923 12 15 6 2 1302 0132 3120 0132 0 1 0 1 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315081344902 0.584373788496 14 3 10 6 2031 0132 2103 3120 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 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 1.477249842034 1.814519470009 9 14 12 3 2103 2031 0132 0132 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 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 0.489306377009 0.503022990073 7 4 7 15 1023 0132 2031 0132 0 2 0 1 0 1 -1 0 -1 0 1 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -2 0 1 1 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692094489024 0.554704594923 13 8 4 10 3012 2031 0132 0132 0 1 1 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 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 0.166665606259 1.247951271468 5 5 16 12 3012 0132 0132 1230 1 1 1 2 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764976950775 0.922182671588 10 6 9 16 1302 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320776381784 1.127923590433 16 8 11 16 0213 0132 0132 3201 0 2 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 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 0.849798931802 1.117401089177 15 15 14 13 0213 2310 0132 0132 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568792708484 0.566994708007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0101_1'], 'c_1001_16' : d['c_1001_16'], 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_15']), 'c_1001_13' : d['c_0101_13'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_15'], 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : d['c_1001_16'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_0011_14'], 'c_1001_2' : d['c_1001_15'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_16']), 'c_1010_13' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0011_15']), 'c_1010_11' : d['c_1001_15'], 'c_1010_10' : d['c_0011_14'], 'c_1010_16' : d['c_0101_13'], 'c_1010_15' : negation(d['c_1001_16']), 'c_1010_14' : d['c_1001_16'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_0_13' : d['1'], 's_3_15' : 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' : negation(d['c_0011_13']), 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_15'], 'c_0101_15' : d['c_0011_16'], 'c_0101_14' : negation(d['c_0011_10']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_13']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_14' : d['c_0101_10'], 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0011_16']), 's_0_10' : d['1'], 'c_1100_16' : d['c_0101_10'], 'c_1100_11' : negation(d['c_0011_16']), 'c_1100_10' : d['c_1100_0'], 'c_1100_13' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_16'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_13'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_15'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0011_14'], 'c_1010_8' : d['c_1001_15'], 'c_1100_8' : negation(d['c_0101_3']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1100_0'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_16'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0011_12'], 'c_0110_12' : d['c_0101_10'], 'c_0110_15' : negation(d['c_0101_13']), 'c_0110_14' : d['c_0011_15'], 'c_0110_16' : d['c_0101_13'], 'c_1010_4' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_0'], 's_2_14' : d['1'], 's_2_15' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_10'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_13'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_13, c_0101_2, c_0101_3, c_1001_15, c_1001_16, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 75958472257548158098579727505367001/3557961482117107724428994868665\ 28*c_1100_0^11 + 19017453986643293336453263230139275997/11385476742\ 774744718172783579728896*c_1100_0^10 - 36125911376455780954418092693559384221/1138547674277474471817278357\ 9728896*c_1100_0^9 - 34240924678174513864245280091328918947/3795158\ 914258248239390927859909632*c_1100_0^8 + 30198446251998489385801370269837332655/8132483387696246227266273985\ 52064*c_1100_0^7 - 145697453623389399577911067068328833083/11385476\ 742774744718172783579728896*c_1100_0^6 - 343610832789170523633994920190870796773/379515891425824823939092785\ 9909632*c_1100_0^5 + 1459163892655835228190376371598387922869/11385\ 476742774744718172783579728896*c_1100_0^4 - 320694631952882808264006559398898844345/569273837138737235908639178\ 9864448*c_1100_0^3 + 80864507916115695112679465207979500971/1138547\ 6742774744718172783579728896*c_1100_0^2 - 11198715869282859744374192337346008891/3795158914258248239390927859\ 909632*c_1100_0 + 2151606122165166735902974229466614173/11385476742\ 774744718172783579728896, c_0011_0 - 1, c_0011_10 - 24870627198472569526/1599997472097642829921*c_1100_0^11 + 5155994730777417444551/25599959553562285278736*c_1100_0^10 - 5209386865218355227973/6399989888390571319684*c_1100_0^9 + 6770546107405784008325/25599959553562285278736*c_1100_0^8 + 80554355664832174478551/12799979776781142639368*c_1100_0^7 - 323394496844133515324243/25599959553562285278736*c_1100_0^6 - 38274945897316130809675/6399989888390571319684*c_1100_0^5 + 990882774071367041742677/25599959553562285278736*c_1100_0^4 - 124951636747303302095739/3199994944195285659842*c_1100_0^3 + 436181261135301791172951/25599959553562285278736*c_1100_0^2 - 47131744548975002044333/12799979776781142639368*c_1100_0 + 10951963590905287919967/25599959553562285278736, c_0011_12 - 159607901368182989414/1599997472097642829921*c_1100_0^11 + 62308693335816195303101/76799878660686855836208*c_1100_0^10 - 62922372482505698409989/38399939330343427918104*c_1100_0^9 - 109344775655275942379239/25599959553562285278736*c_1100_0^8 + 243533541478235885763041/12799979776781142639368*c_1100_0^7 - 557119531772439651858403/76799878660686855836208*c_1100_0^6 - 458484736562976786554903/9599984832585856979526*c_1100_0^5 + 5095808299992719373040603/76799878660686855836208*c_1100_0^4 - 302552992423074147983489/12799979776781142639368*c_1100_0^3 - 263101440698417778552235/76799878660686855836208*c_1100_0^2 + 94610419503170093603173/38399939330343427918104*c_1100_0 - 131856241807938986212229/76799878660686855836208, c_0011_13 + 1, c_0011_14 + 134495414877413900028/1599997472097642829921*c_1100_0^11 - 8206704473319200090155/12799979776781142639368*c_1100_0^10 + 29931547174280724993147/25599959553562285278736*c_1100_0^9 + 88738622177655860963751/25599959553562285278736*c_1100_0^8 - 86646491405272753640195/6399989888390571319684*c_1100_0^7 + 58906449688986673828503/12799979776781142639368*c_1100_0^6 + 785553967416347162424465/25599959553562285278736*c_1100_0^5 - 1184028339986364790705749/25599959553562285278736*c_1100_0^4 + 376527586814989208184039/12799979776781142639368*c_1100_0^3 - 144515629522803897178213/12799979776781142639368*c_1100_0^2 + 72533883337087299116981/25599959553562285278736*c_1100_0 - 17311091415245979279593/25599959553562285278736, c_0011_15 - 87432062332546392960/1599997472097642829921*c_1100_0^11 + 627229499805267878406/1599997472097642829921*c_1100_0^10 - 15088455464039616922769/25599959553562285278736*c_1100_0^9 - 63389748421747895390325/25599959553562285278736*c_1100_0^8 + 12193722960583759090272/1599997472097642829921*c_1100_0^7 + 2800259967144099626887/12799979776781142639368*c_1100_0^6 - 491603944917175775781893/25599959553562285278736*c_1100_0^5 + 540948627631829534714455/25599959553562285278736*c_1100_0^4 - 68385580291652658195199/6399989888390571319684*c_1100_0^3 + 34279763674809822896793/6399989888390571319684*c_1100_0^2 - 37120091917532407885741/25599959553562285278736*c_1100_0 + 15869075443447866501721/25599959553562285278736, c_0011_16 - 281077255062457501170/1599997472097642829921*c_1100_0^11 + 34613659119215004176861/25599959553562285278736*c_1100_0^10 - 15992071339545630666353/6399989888390571319684*c_1100_0^9 - 187563381923264271852105/25599959553562285278736*c_1100_0^8 + 93081071353625983289353/3199994944195285659842*c_1100_0^7 - 249847905584167594006113/25599959553562285278736*c_1100_0^6 - 869560562573031467680013/12799979776781142639368*c_1100_0^5 + 2545315274559970954773761/25599959553562285278736*c_1100_0^4 - 715644581510207404330495/12799979776781142639368*c_1100_0^3 + 429872932109194180226207/25599959553562285278736*c_1100_0^2 - 47694105834872012827653/12799979776781142639368*c_1100_0 + 5433287558714584481391/25599959553562285278736, c_0101_0 - 1, c_0101_1 + 66540885248872083884/1599997472097642829921*c_1100_0^11 - 4300917351562397589479/12799979776781142639368*c_1100_0^10 + 18384765996735576549241/25599959553562285278736*c_1100_0^9 + 37500474550128723554853/25599959553562285278736*c_1100_0^8 - 95202377648989505451767/12799979776781142639368*c_1100_0^7 + 66073946519505822528511/12799979776781142639368*c_1100_0^6 + 356619942551572926516157/25599959553562285278736*c_1100_0^5 - 751854669975692653287409/25599959553562285278736*c_1100_0^4 + 166298909925097390090117/6399989888390571319684*c_1100_0^3 - 77105656684054704217207/6399989888390571319684*c_1100_0^2 + 51633899365169271687059/25599959553562285278736*c_1100_0 + 4228989449959368341291/25599959553562285278736, c_0101_10 + 509675666015810033266/4799992416292928489763*c_1100_0^11 - 21078310330726305601215/25599959553562285278736*c_1100_0^10 + 121730709113617813584977/76799878660686855836208*c_1100_0^9 + 6619847167146041688414/1599997472097642829921*c_1100_0^8 - 336698372384235568576835/19199969665171713959052*c_1100_0^7 + 212330368801129650314091/25599959553562285278736*c_1100_0^6 + 2814607390314483479024881/76799878660686855836208*c_1100_0^5 - 2440870904484965011505071/38399939330343427918104*c_1100_0^4 + 231355817619859402045519/4799992416292928489763*c_1100_0^3 - 524417227401285537011273/25599959553562285278736*c_1100_0^2 + 456209438807788368594733/76799878660686855836208*c_1100_0 - 16765028351451151466375/19199969665171713959052, c_0101_12 - 453091387535049940066/4799992416292928489763*c_1100_0^11 + 21022739999578700271495/25599959553562285278736*c_1100_0^10 - 147374433251829384606077/76799878660686855836208*c_1100_0^9 - 46421945739977169059513/12799979776781142639368*c_1100_0^8 + 801555800481079438070569/38399939330343427918104*c_1100_0^7 - 350780375099019012170205/25599959553562285278736*c_1100_0^6 - 3838317631459000499980585/76799878660686855836208*c_1100_0^5 + 3241965123264539586052087/38399939330343427918104*c_1100_0^4 - 624723729774527889234907/19199969665171713959052*c_1100_0^3 - 200903824464086029948157/25599959553562285278736*c_1100_0^2 + 372099224668534034031749/76799878660686855836208*c_1100_0 - 98325582425370235637363/38399939330343427918104, c_0101_13 - 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: 1.560 Total time: 1.760 seconds, Total memory usage: 64.12MB