Magma V2.19-8 Wed Aug 21 2013 00:56:57 on localhost [Seed = 4273529898] Type ? for help. Type -D to quit. Loading file "L13n3175__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3175 geometric_solution 11.58881806 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500942389399 0.739943616770 0 5 6 3 0132 0132 0132 0132 1 1 0 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 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 0.812901266395 0.885472727753 3 0 5 7 0321 0132 1302 0132 1 0 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 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481078065788 0.277414352263 2 8 1 0 0321 0132 0132 0132 1 1 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 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.295244403020 0.790238703532 9 10 0 6 0132 0132 0132 0132 1 1 0 1 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 -1 -1 2 -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 0.175841125690 0.850611872330 2 1 9 10 2031 0132 0213 1023 1 1 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935226046852 0.313874787001 11 7 4 1 0132 2103 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -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 0.479166077275 1.176784646933 12 6 2 10 0132 2103 0132 2310 1 0 1 0 0 0 0 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 0 1 -1 -1 0 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220180708457 1.095085059847 12 3 11 9 3012 0132 3012 0132 1 1 0 0 0 0 0 0 0 0 -1 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 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.062704824753 0.763025444299 4 5 8 11 0132 0213 0132 0132 1 1 1 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 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359136712594 0.751506484768 7 4 12 5 3201 0132 3012 1023 1 1 1 0 0 -1 1 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 -2 0 2 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616710276106 0.360106932835 6 8 9 12 0132 1230 0132 3012 1 1 0 1 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 -1 0 1 0 0 2 -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 0.372614164941 0.926713637592 7 10 11 8 0132 1230 1230 1230 1 0 0 1 0 1 -1 0 1 0 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 -2 2 0 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174982141015 1.410797280950 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0110_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_11']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : 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_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_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_0101_1, c_0101_10, c_0101_6, c_0110_10, c_0110_5, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 80199954733358680204436/8489148081490878271173*c_1100_0^9 - 322826863351323001631/3086962938723955734972*c_1100_0^8 + 292967331200229156594749/16978296162981756542346*c_1100_0^7 - 416553409101094668817589/8489148081490878271173*c_1100_0^6 - 296858788144714969720271/8489148081490878271173*c_1100_0^5 + 85863839312369244890601/314412891907069565599*c_1100_0^4 + 11402761583797932682223897/16978296162981756542346*c_1100_0^3 + 7569117023214698765337883/11318864108654504361564*c_1100_0^2 + 8934081862169221255422721/33956592325963513084692*c_1100_0 + 434870241726461710856503/33956592325963513084692, c_0011_0 - 1, c_0011_10 - 32188448149256/46680697034253*c_1100_0^9 + 52232021466895/93361394068506*c_1100_0^8 + 33799386565036/46680697034253*c_1100_0^7 - 190358155762592/46680697034253*c_1100_0^6 + 36609876523492/46680697034253*c_1100_0^5 + 98482184251127/5186744114917*c_1100_0^4 + 1561467400370905/46680697034253*c_1100_0^3 + 717435944473007/31120464689502*c_1100_0^2 + 319300208325287/93361394068506*c_1100_0 - 58268534565793/93361394068506, c_0011_11 - 25682431498496/420126273308277*c_1100_0^9 - 4106306062096/420126273308277*c_1100_0^8 + 2762048661448/420126273308277*c_1100_0^7 - 57133376177843/420126273308277*c_1100_0^6 - 129945852940040/420126273308277*c_1100_0^5 + 18856356179548/15560232344751*c_1100_0^4 + 2060106951739705/420126273308277*c_1100_0^3 + 1047648920551123/140042091102759*c_1100_0^2 + 2401336194643816/420126273308277*c_1100_0 + 473126432226805/420126273308277, c_0011_12 + 108438560033816/140042091102759*c_1100_0^9 - 136017793929709/280084182205518*c_1100_0^8 - 118943774122537/140042091102759*c_1100_0^7 + 609658555939070/140042091102759*c_1100_0^6 - 17613582478252/140042091102759*c_1100_0^5 - 109205289046894/5186744114917*c_1100_0^4 - 5887289398458523/140042091102759*c_1100_0^3 - 3264627079527815/93361394068506*c_1100_0^2 - 3499783246708325/280084182205518*c_1100_0 - 754671980907977/280084182205518, c_0011_3 + 608624377060696/420126273308277*c_1100_0^9 - 750915406238021/840252546616554*c_1100_0^8 - 565874436815945/420126273308277*c_1100_0^7 + 3217791722149120/420126273308277*c_1100_0^6 - 12961817565347/420126273308277*c_1100_0^5 - 584493856473284/15560232344751*c_1100_0^4 - 33922195775031857/420126273308277*c_1100_0^3 - 20088263273183737/280084182205518*c_1100_0^2 - 24184581174957295/840252546616554*c_1100_0 - 4467029001533077/840252546616554, c_0101_1 - 1, c_0101_10 + 32809533141368/420126273308277*c_1100_0^9 - 19680971155777/840252546616554*c_1100_0^8 - 88613923512079/420126273308277*c_1100_0^7 + 255941867930576/420126273308277*c_1100_0^6 + 5563295151212/420126273308277*c_1100_0^5 - 40868129785918/15560232344751*c_1100_0^4 - 1835244464423098/420126273308277*c_1100_0^3 - 861277786255667/280084182205518*c_1100_0^2 + 994975405752187/840252546616554*c_1100_0 + 355537508512081/840252546616554, c_0101_6 + 329322330546944/420126273308277*c_1100_0^9 - 383473278887696/420126273308277*c_1100_0^8 - 156609863143252/420126273308277*c_1100_0^7 + 1925094611256695/420126273308277*c_1100_0^6 - 1069135151156590/420126273308277*c_1100_0^5 - 307763813531518/15560232344751*c_1100_0^4 - 13476994429202317/420126273308277*c_1100_0^3 - 2445868647299833/140042091102759*c_1100_0^2 - 764793337550275/420126273308277*c_1100_0 - 410725620357529/420126273308277, c_0110_10 - 129271431728936/140042091102759*c_1100_0^9 + 259471638935659/280084182205518*c_1100_0^8 + 82661945105593/140042091102759*c_1100_0^7 - 746056618455038/140042091102759*c_1100_0^6 + 311208667688446/140042091102759*c_1100_0^5 + 122496099832328/5186744114917*c_1100_0^4 + 5790781948455040/140042091102759*c_1100_0^3 + 2616104307319193/93361394068506*c_1100_0^2 + 2059178735084183/280084182205518*c_1100_0 + 470722198885529/280084182205518, c_0110_5 - 25682431498496/420126273308277*c_1100_0^9 - 4106306062096/420126273308277*c_1100_0^8 + 2762048661448/420126273308277*c_1100_0^7 - 57133376177843/420126273308277*c_1100_0^6 - 129945852940040/420126273308277*c_1100_0^5 + 18856356179548/15560232344751*c_1100_0^4 + 2060106951739705/420126273308277*c_1100_0^3 + 1047648920551123/140042091102759*c_1100_0^2 + 1981209921335539/420126273308277*c_1100_0 + 473126432226805/420126273308277, c_1001_11 - 396877948071368/420126273308277*c_1100_0^9 + 633764670535159/840252546616554*c_1100_0^8 + 330623657340910/420126273308277*c_1100_0^7 - 2197911777427808/420126273308277*c_1100_0^6 + 382103291561062/420126273308277*c_1100_0^5 + 384680286486718/15560232344751*c_1100_0^4 + 20084148323568343/420126273308277*c_1100_0^3 + 10216744358498069/280084182205518*c_1100_0^2 + 9795100380738041/840252546616554*c_1100_0 + 1722275336573783/840252546616554, c_1001_3 + 129271431728936/140042091102759*c_1100_0^9 - 259471638935659/280084182205518*c_1100_0^8 - 82661945105593/140042091102759*c_1100_0^7 + 746056618455038/140042091102759*c_1100_0^6 - 311208667688446/140042091102759*c_1100_0^5 - 122496099832328/5186744114917*c_1100_0^4 - 5790781948455040/140042091102759*c_1100_0^3 - 2616104307319193/93361394068506*c_1100_0^2 - 1779094552878665/280084182205518*c_1100_0 - 470722198885529/280084182205518, c_1100_0^10 + 1/16*c_1100_0^9 - 25/16*c_1100_0^8 + 39/8*c_1100_0^7 + 15/4*c_1100_0^6 - 109/4*c_1100_0^5 - 583/8*c_1100_0^4 - 1303/16*c_1100_0^3 - 355/8*c_1100_0^2 - 12*c_1100_0 - 31/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB