Magma V2.19-8 Tue Aug 20 2013 23:50:49 on localhost [Seed = 2648438445] Type ? for help. Type -D to quit. Loading file "L12n868__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n868 geometric_solution 10.99510257 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 1 0132 1230 0132 2031 1 1 0 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 0 1 -1 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 0.390930907533 1.035208006221 0 0 0 3 0132 1302 3012 0132 1 1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680737880202 0.845424846511 4 5 6 0 0132 0132 0132 0132 1 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 4 -3 -1 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 0.896811755838 0.721609001944 7 8 1 9 0132 0132 0132 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 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798638343298 1.366745625779 2 10 7 9 0132 0132 0132 3201 1 1 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732222410755 0.275805758814 6 2 9 10 0132 0132 1230 0213 1 1 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 0 0 0 -4 0 4 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908168187019 0.833496233682 5 11 8 2 0132 0132 2031 0132 1 1 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 0 0 0 -3 0 3 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 0.331498954399 1.152799506725 3 9 8 4 0132 1023 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278578530170 0.936820316085 7 3 11 6 2310 0132 1230 1302 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 -1 0 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493360945583 1.385797742821 7 4 3 5 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266402052365 0.509085440795 11 4 11 5 0213 0132 0321 0213 1 1 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 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710551180873 0.741482544451 10 6 10 8 0213 0132 0321 3012 1 1 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 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311410788017 0.310206519702 ==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' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_6'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_2, c_0101_6, c_0101_7, c_0110_9, c_1001_0, c_1001_10, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 483111727757177/118774044064*c_1001_3^6 - 230341450729509779/4632187718496*c_1001_3^5 - 24041501351920033/356322132192*c_1001_3^4 - 32075815597036813/2316093859248*c_1001_3^3 + 29379101119159679/1158046929624*c_1001_3^2 + 3386020401017699/579023464812*c_1001_3 - 434389568556673/96503910802, c_0011_0 - 1, c_0011_10 - 14505195/27855076*c_1001_3^6 + 4468641755/724231976*c_1001_3^5 + 612623159/55710152*c_1001_3^4 + 3826573059/724231976*c_1001_3^3 + 86133965/181057994*c_1001_3^2 + 70332944/90528997*c_1001_3 + 27914915/90528997, c_0011_3 - 28871607/111420304*c_1001_3^6 + 4580785597/1448463952*c_1001_3^5 + 492681747/111420304*c_1001_3^4 + 110909783/362115988*c_1001_3^3 - 1165235845/362115988*c_1001_3^2 - 19229069/181057994*c_1001_3 + 90065577/90528997, c_0101_0 - 1, c_0101_2 - 10750197/27855076*c_1001_3^6 + 466658989/90528997*c_1001_3^5 + 17644527/13927538*c_1001_3^4 - 3111896991/362115988*c_1001_3^3 - 871456903/181057994*c_1001_3^2 + 360603151/181057994*c_1001_3 + 83329144/90528997, c_0101_6 + 3369525/55710152*c_1001_3^6 - 682257995/724231976*c_1001_3^5 + 71875399/55710152*c_1001_3^4 + 976258753/181057994*c_1001_3^3 + 379880161/90528997*c_1001_3^2 + 44359767/90528997*c_1001_3 - 65861719/90528997, c_0101_7 + 3369525/55710152*c_1001_3^6 - 682257995/724231976*c_1001_3^5 + 71875399/55710152*c_1001_3^4 + 976258753/181057994*c_1001_3^3 + 379880161/90528997*c_1001_3^2 - 46169230/90528997*c_1001_3 - 65861719/90528997, c_0110_9 - 24004077/55710152*c_1001_3^6 + 1873952785/362115988*c_1001_3^5 + 224270733/27855076*c_1001_3^4 + 4282714199/724231976*c_1001_3^3 - 92567017/362115988*c_1001_3^2 - 251463551/181057994*c_1001_3 - 40698552/90528997, c_1001_0 + c_1001_3 + 1, c_1001_10 + 22132557/111420304*c_1001_3^6 - 3216269607/1448463952*c_1001_3^5 - 636432545/111420304*c_1001_3^4 - 2063427289/362115988*c_1001_3^3 - 354284799/362115988*c_1001_3^2 + 292625523/181057994*c_1001_3 + 66325139/90528997, c_1001_11 + 33075045/55710152*c_1001_3^6 - 4878679809/724231976*c_1001_3^5 - 911634859/55710152*c_1001_3^4 - 3234567059/362115988*c_1001_3^3 + 286340052/90528997*c_1001_3^2 + 583091269/181057994*c_1001_3 + 15981432/90528997, c_1001_3^7 - 445/39*c_1001_3^6 - 1039/39*c_1001_3^5 - 616/39*c_1001_3^4 + 172/39*c_1001_3^3 + 224/39*c_1001_3^2 - 32/39 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.610 seconds, Total memory usage: 32.09MB