Magma V2.19-8 Tue Aug 20 2013 23:52:48 on localhost [Seed = 3203978609] Type ? for help. Type -D to quit. Loading file "L13n38__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n38 geometric_solution 10.68454458 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 0 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 -0.174719281720 0.947722826782 0 5 2 6 0132 0132 1023 0132 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 0 0 0 0 0 1 0 -1 -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 0.162245879809 1.198536852418 5 0 1 7 0132 0132 1023 0132 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 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 0.010419650210 0.996536145903 4 6 7 0 0321 0321 1230 0132 1 1 1 1 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 -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 0.045914372412 0.553807140253 3 7 0 8 0321 0132 0132 0132 1 1 1 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 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177510095661 0.739304906442 2 1 9 10 0132 0132 0132 0132 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 0 0 0 0 0 -1 0 1 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 0.032105949486 0.860295002829 8 10 1 3 0132 2031 0132 0321 1 1 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 0 0 0 0 1 -1 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 0.333629020270 0.337288430156 8 4 2 3 3012 0132 0132 3012 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 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 0.177284925031 0.862887169867 6 10 4 7 0132 2103 0132 1230 1 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 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336813480738 1.227121316270 11 11 11 5 0132 1302 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.043319782804 1.160775285172 6 8 5 11 1302 2103 0132 3012 1 1 1 1 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 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032105949486 0.860295002829 9 9 10 9 0132 1230 1230 2031 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 -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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428307062372 0.476525280801 ==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_6']), 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0110_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : 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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], '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_11']), 'c_0110_10' : d['c_0110_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0011_6, c_0101_1, c_0101_11, c_0110_10, c_0110_7, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 27748446938165909/2278059093111272220*c_1001_3^9 + 8278890061738795/1404803107418617869*c_1001_3^8 - 18177034103916643883/84288186445117072140*c_1001_3^7 + 8958183568169281017/9365354049457452460*c_1001_3^6 - 359258012997892258799/337152745780468288560*c_1001_3^5 + 66048138051142792237/84288186445117072140*c_1001_3^4 - 210496629312881655601/84288186445117072140*c_1001_3^3 + 325961347271966656001/84288186445117072140*c_1001_3^2 - 510759416588129747507/168576372890234144280*c_1001_3 + 25345736683017958021/42144093222558536070, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_3 + 3223665209256/207473505747839*c_1001_3^9 - 2280484869188/207473505747839*c_1001_3^8 + 57709874938212/207473505747839*c_1001_3^7 - 265304837974728/207473505747839*c_1001_3^6 + 342229323294740/207473505747839*c_1001_3^5 - 289939011968829/207473505747839*c_1001_3^4 + 631006588903120/207473505747839*c_1001_3^3 - 1235981717992677/207473505747839*c_1001_3^2 + 1224849228337620/207473505747839*c_1001_3 - 4453876831367/7154258818891, c_0011_4 + 3568769079192/207473505747839*c_1001_3^9 - 3031355453968/207473505747839*c_1001_3^8 + 65525056043124/207473505747839*c_1001_3^7 - 300053035657372/207473505747839*c_1001_3^6 + 448141436948684/207473505747839*c_1001_3^5 - 402227180335242/207473505747839*c_1001_3^4 + 743999373047464/207473505747839*c_1001_3^3 - 1453246359908339/207473505747839*c_1001_3^2 + 1669588410847068/207473505747839*c_1001_3 - 10017338680905/7154258818891, c_0011_6 + 5144163546618/207473505747839*c_1001_3^9 - 3353018051198/207473505747839*c_1001_3^8 + 95069359312081/207473505747839*c_1001_3^7 - 411961062547188/207473505747839*c_1001_3^6 + 590700800317742/207473505747839*c_1001_3^5 - 511657570411176/207473505747839*c_1001_3^4 + 978856410693368/207473505747839*c_1001_3^3 - 1892876696787420/207473505747839*c_1001_3^2 + 1868038139277588/207473505747839*c_1001_3 - 11647518720356/7154258818891, c_0101_1 - 2008368200456/207473505747839*c_1001_3^9 + 2522192572796/207473505747839*c_1001_3^8 - 36223699899218/207473505747839*c_1001_3^7 + 184994609276544/207473505747839*c_1001_3^6 - 293679124444445/207473505747839*c_1001_3^5 + 262931678285464/207473505747839*c_1001_3^4 - 439956993655842/207473505747839*c_1001_3^3 + 947319588975104/207473505747839*c_1001_3^2 - 1090581185803119/207473505747839*c_1001_3 + 10509473835220/7154258818891, c_0101_11 - 1754862885716/207473505747839*c_1001_3^9 + 3845818158810/207473505747839*c_1001_3^8 - 31926444452408/207473505747839*c_1001_3^7 + 191144876255593/207473505747839*c_1001_3^6 - 374139340557804/207473505747839*c_1001_3^5 + 345626301190571/207473505747839*c_1001_3^4 - 460509802649984/207473505747839*c_1001_3^3 + 970940385024856/207473505747839*c_1001_3^2 - 1439272723973472/207473505747839*c_1001_3 + 18404052809261/7154258818891, c_0110_10 + 4858514449680/207473505747839*c_1001_3^9 - 1749142438230/207473505747839*c_1001_3^8 + 88877401968238/207473505747839*c_1001_3^7 - 367834419305085/207473505747839*c_1001_3^6 + 432907869903788/207473505747839*c_1001_3^5 - 430888940419947/207473505747839*c_1001_3^4 + 879794660938308/207473505747839*c_1001_3^3 - 1486718042104112/207473505747839*c_1001_3^2 + 1387743663770576/207473505747839*c_1001_3 - 455290461205/7154258818891, c_0110_7 - 4606749921394/207473505747839*c_1001_3^9 + 2855846129270/207473505747839*c_1001_3^8 - 84639485079749/207473505747839*c_1001_3^7 + 367612366567376/207473505747839*c_1001_3^6 - 507575385882872/207473505747839*c_1001_3^5 + 449115131561248/207473505747839*c_1001_3^4 - 883256990232379/207473505747839*c_1001_3^3 + 1763805491721720/207473505747839*c_1001_3^2 - 1773598799625800/207473505747839*c_1001_3 + 8078749641164/7154258818891, c_1001_11 + 52604263796/3516500097421*c_1001_3^9 + 35536876620/3516500097421*c_1001_3^8 + 965270466370/3516500097421*c_1001_3^7 - 2994738017788/3516500097421*c_1001_3^6 + 996076768576/3516500097421*c_1001_3^5 - 1445129478464/3516500097421*c_1001_3^4 + 7106523021836/3516500097421*c_1001_3^3 - 8741994187784/3516500097421*c_1001_3^2 - 873373901744/3516500097421*c_1001_3 + 304216310984/121258624049, c_1001_3^10 - c_1001_3^9 + 37/2*c_1001_3^8 - 87*c_1001_3^7 + 138*c_1001_3^6 - 136*c_1001_3^5 + 226*c_1001_3^4 - 434*c_1001_3^3 + 504*c_1001_3^2 - 166*c_1001_3 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB