Magma V2.19-8 Tue Aug 20 2013 23:38:23 on localhost [Seed = 2210785190] Type ? for help. Type -D to quit. Loading file "K11a195__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11a195 geometric_solution 9.31336923 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 1 0 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 0.440061823815 1.206719222861 0 5 6 2 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.645560653417 0.309710221940 1 0 6 3 3120 0132 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372720901955 0.350732459741 2 7 8 0 3120 0132 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 1 0 -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 0 0 0 0.264792666778 0.605591873182 7 9 0 7 2031 0132 0132 1230 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 1 -1 -1 0 1 0 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264792666778 0.605591873182 9 1 6 9 0321 0132 3120 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 0 0 0 1 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 1.027125039327 0.778368864587 2 9 5 1 2103 1302 3120 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 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 0.504379360951 0.963747430194 4 3 4 8 3012 0132 1302 3012 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 -1 1 0 1 0 -1 0 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810350003423 0.667487053421 10 10 7 3 0132 3201 1230 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 -0.041750030755 2.696003421715 5 4 5 6 0321 0132 2031 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.044716970026 1.283179602719 8 10 8 10 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.427277603169 0.433945610326 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], '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_10' : 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' : negation(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_1']), 'c_1100_8' : d['c_0110_7'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_10' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0101_1'], '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_4'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 799691748150189/38752483578809*c_1001_1^25 - 809507811508954/3522953052619*c_1001_1^24 - 50015231464612138/38752483578809*c_1001_1^23 - 182955491190232426/38752483578809*c_1001_1^22 - 481754825510554019/38752483578809*c_1001_1^21 - 958812568354995147/38752483578809*c_1001_1^20 - 1481871669759468448/38752483578809*c_1001_1^19 - 1806359927311303447/38752483578809*c_1001_1^18 - 1761107994832928673/38752483578809*c_1001_1^17 - 128401481070880494/3522953052619*c_1001_1^16 - 1009524628765731306/38752483578809*c_1001_1^15 - 747989347631189773/38752483578809*c_1001_1^14 - 626777089744541807/38752483578809*c_1001_1^13 - 22756727565165036/1684890590383*c_1001_1^12 - 375115197310138048/38752483578809*c_1001_1^11 - 12888466792776439/2279557857577*c_1001_1^10 - 117780206080559441/38752483578809*c_1001_1^9 - 68571211106611951/38752483578809*c_1001_1^8 - 508480151451494/425851467899*c_1001_1^7 - 25792232062761539/38752483578809*c_1001_1^6 - 12951948995813565/38752483578809*c_1001_1^5 - 4267863989815812/38752483578809*c_1001_1^4 - 2755179067867125/38752483578809*c_1001_1^3 - 702916260532615/38752483578809*c_1001_1^2 - 23404429310774/2980960275293*c_1001_1 - 102720873313797/38752483578809, c_0011_0 - 1, c_0011_10 - c_1001_1^15 - 8*c_1001_1^14 - 32*c_1001_1^13 - 80*c_1001_1^12 - 136*c_1001_1^11 - 160*c_1001_1^10 - 128*c_1001_1^9 - 64*c_1001_1^8 - 18*c_1001_1^7 - 8*c_1001_1^6 - 16*c_1001_1^5 - 16*c_1001_1^4 - 8*c_1001_1^3, c_0011_3 + c_1001_1^3 + 2*c_1001_1^2 + 2*c_1001_1, c_0011_4 - c_1001_1^24 - 12*c_1001_1^23 - 73*c_1001_1^22 - 292*c_1001_1^21 - 851*c_1001_1^20 - 1902*c_1001_1^19 - 3354*c_1001_1^18 - 4736*c_1001_1^17 - 5389*c_1001_1^16 - 4952*c_1001_1^15 - 3716*c_1001_1^14 - 2416*c_1001_1^13 - 1620*c_1001_1^12 - 1320*c_1001_1^11 - 1144*c_1001_1^10 - 832*c_1001_1^9 - 454*c_1001_1^8 - 184*c_1001_1^7 - 83*c_1001_1^6 - 60*c_1001_1^5 - 45*c_1001_1^4 - 18*c_1001_1^3 - 6*c_1001_1^2 - 1, c_0011_6 + c_1001_1^2 + 2*c_1001_1 + 1, c_0101_0 + c_1001_1^24 + 12*c_1001_1^23 + 73*c_1001_1^22 + 292*c_1001_1^21 + 851*c_1001_1^20 + 1902*c_1001_1^19 + 3354*c_1001_1^18 + 4736*c_1001_1^17 + 5389*c_1001_1^16 + 4952*c_1001_1^15 + 3716*c_1001_1^14 + 2416*c_1001_1^13 + 1620*c_1001_1^12 + 1320*c_1001_1^11 + 1144*c_1001_1^10 + 832*c_1001_1^9 + 454*c_1001_1^8 + 184*c_1001_1^7 + 83*c_1001_1^6 + 60*c_1001_1^5 + 45*c_1001_1^4 + 18*c_1001_1^3 + 6*c_1001_1^2 + 1, c_0101_1 - c_1001_1^23 - 12*c_1001_1^22 - 72*c_1001_1^21 - 280*c_1001_1^20 - 780*c_1001_1^19 - 1632*c_1001_1^18 - 2624*c_1001_1^17 - 3264*c_1001_1^16 - 3124*c_1001_1^15 - 2272*c_1001_1^14 - 1280*c_1001_1^13 - 704*c_1001_1^12 - 608*c_1001_1^11 - 640*c_1001_1^10 - 512*c_1001_1^9 - 256*c_1001_1^8 - 67*c_1001_1^7 - 12*c_1001_1^6 - 24*c_1001_1^5 - 24*c_1001_1^4 - 12*c_1001_1^3, c_0101_2 + c_1001_1^25 + 12*c_1001_1^24 + 72*c_1001_1^23 + 280*c_1001_1^22 + 779*c_1001_1^21 + 1622*c_1001_1^20 + 2574*c_1001_1^19 + 3104*c_1001_1^18 + 2765*c_1001_1^17 + 1688*c_1001_1^16 + 592*c_1001_1^15 + 144*c_1001_1^14 + 340*c_1001_1^13 + 616*c_1001_1^12 + 536*c_1001_1^11 + 192*c_1001_1^10 - 58*c_1001_1^9 - 72*c_1001_1^8 + 16*c_1001_1^7 + 48*c_1001_1^6 + 21*c_1001_1^5 - 6*c_1001_1^4 - 6*c_1001_1^3 + c_1001_1, c_0101_8 - c_1001_1^7 - 4*c_1001_1^6 - 8*c_1001_1^5 - 8*c_1001_1^4 - 4*c_1001_1^3, c_0110_7 + 2*c_1001_1^23 + 24*c_1001_1^22 + 144*c_1001_1^21 + 561*c_1001_1^20 + 1570*c_1001_1^19 + 3315*c_1001_1^18 + 5418*c_1001_1^17 + 6937*c_1001_1^16 + 6992*c_1001_1^15 + 5592*c_1001_1^14 + 3712*c_1001_1^13 + 2396*c_1001_1^12 + 1880*c_1001_1^11 + 1659*c_1001_1^10 + 1266*c_1001_1^9 + 723*c_1001_1^8 + 314*c_1001_1^7 + 140*c_1001_1^6 + 96*c_1001_1^5 + 63*c_1001_1^4 + 30*c_1001_1^3 + 7*c_1001_1^2 + 2*c_1001_1 + 1, c_1001_1^26 + 13*c_1001_1^25 + 85*c_1001_1^24 + 364*c_1001_1^23 + 1132*c_1001_1^22 + 2693*c_1001_1^21 + 5047*c_1001_1^20 + 7580*c_1001_1^19 + 9223*c_1001_1^18 + 9189*c_1001_1^17 + 7669*c_1001_1^16 + 5688*c_1001_1^15 + 4200*c_1001_1^14 + 3372*c_1001_1^13 + 2772*c_1001_1^12 + 2048*c_1001_1^11 + 1278*c_1001_1^10 + 702*c_1001_1^9 + 398*c_1001_1^8 + 248*c_1001_1^7 + 152*c_1001_1^6 + 75*c_1001_1^5 + 33*c_1001_1^4 + 12*c_1001_1^3 + 7*c_1001_1^2 + c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB