Magma V2.19-8 Wed Aug 21 2013 00:12:01 on localhost [Seed = 1713375813] Type ? for help. Type -D to quit. Loading file "K13n3089__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3089 geometric_solution 11.97274991 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 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 -1 0 1 0 0 1 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831904035863 0.589153175275 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 3 -3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706194167354 0.846097709556 7 0 0 8 0132 0132 0321 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 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831904035863 0.589153175275 9 10 0 11 0132 0132 0132 0132 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 -1 1 0 0 1 -1 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251377677431 1.355970516063 10 1 7 11 2310 0132 1023 3120 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956729476805 0.899654617331 7 8 1 6 3201 1023 0132 3201 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 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 0.753222988630 1.290677642430 9 5 9 1 3120 2310 0213 0132 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 3 0 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 -0.133229402448 0.730888686182 2 11 4 5 0132 3120 1023 2310 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 0 0 -1 -2 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807480422737 0.567062668800 5 12 2 12 1023 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628772621224 0.564654816945 3 6 12 6 0132 0213 1302 3120 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 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409102727131 0.690775205879 12 3 4 11 2031 0132 3201 0213 0 0 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 1 0 -3 2 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.191537995721 0.741896224360 4 7 3 10 3120 3120 0132 0213 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 1 -1 0 -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 0.371461760624 0.947598177940 9 8 10 8 2031 0132 1302 0213 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 -1 1 0 0 0 0 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628772621224 0.564654816945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0110_12'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], '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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0110_12']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_10'], '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], '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' : 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_12']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0110_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0101_0']), '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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0110_12, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 90978996384/18357053*c_1001_2^15 + 21797532462/1412081*c_1001_2^14 - 19239334300/1668823*c_1001_2^13 - 2191426383402/18357053*c_1001_2^1\ 2 + 254730618219/1668823*c_1001_2^11 + 7761029828228/18357053*c_1001_2^10 - 211826587448/592163*c_1001_2^9 - 988473159683/1412081*c_1001_2^8 + 8239173479500/18357053*c_1001_2^7 + 11084529866039/18357053*c_1001_2^6 - 6763820567518/18357053*c_1001_2^5 - 4888579172014/18357053*c_1001_2^4 + 3534101516687/18357053*c_1001_2^3 + 700205584932/18357053*c_1001_2^2 - 908216883573/18357053*c_1001_2 + 171269498393/18357053, c_0011_0 - 1, c_0011_10 - 13032*c_1001_2^15 + 23778*c_1001_2^14 - 9613*c_1001_2^13 - 313331*c_1001_2^12 - 3016*c_1001_2^11 + 867500*c_1001_2^10 + 50433*c_1001_2^9 - 1169558*c_1001_2^8 + 34649*c_1001_2^7 + 908886*c_1001_2^6 - 167254*c_1001_2^5 - 398367*c_1001_2^4 + 153455*c_1001_2^3 + 69591*c_1001_2^2 - 51484*c_1001_2 + 8519, c_0011_11 - 7899*c_1001_2^15 + 14417*c_1001_2^14 - 5827*c_1001_2^13 - 189921*c_1001_2^12 - 1720*c_1001_2^11 + 526007*c_1001_2^10 + 30445*c_1001_2^9 - 709319*c_1001_2^8 + 20987*c_1001_2^7 + 551303*c_1001_2^6 - 101275*c_1001_2^5 - 241674*c_1001_2^4 + 92947*c_1001_2^3 + 42246*c_1001_2^2 - 31191*c_1001_2 + 5153, c_0011_12 + 14913*c_1001_2^15 - 27156*c_1001_2^14 + 10932*c_1001_2^13 + 358554*c_1001_2^12 + 4754*c_1001_2^11 - 991976*c_1001_2^10 - 60992*c_1001_2^9 + 1336263*c_1001_2^8 - 35793*c_1001_2^7 - 1037908*c_1001_2^6 + 188672*c_1001_2^5 + 454910*c_1001_2^4 - 174400*c_1001_2^3 - 79552*c_1001_2^2 + 58645*c_1001_2 - 9691, c_0011_6 - 10644*c_1001_2^15 + 19445*c_1001_2^14 - 7885*c_1001_2^13 - 255908*c_1001_2^12 - 1893*c_1001_2^11 + 708808*c_1001_2^10 + 39798*c_1001_2^9 - 956029*c_1001_2^8 + 29904*c_1001_2^7 + 743136*c_1001_2^6 - 137697*c_1001_2^5 - 325712*c_1001_2^4 + 125791*c_1001_2^3 + 56865*c_1001_2^2 - 42144*c_1001_2 + 6977, c_0101_0 - 2535*c_1001_2^15 + 4601*c_1001_2^14 - 1837*c_1001_2^13 - 60951*c_1001_2^12 - 1176*c_1001_2^11 + 168469*c_1001_2^10 + 11316*c_1001_2^9 - 226742*c_1001_2^8 + 4854*c_1001_2^7 + 176042*c_1001_2^6 - 31110*c_1001_2^5 - 77189*c_1001_2^4 + 29198*c_1001_2^3 + 13548*c_1001_2^2 - 9868*c_1001_2 + 1619, c_0101_1 - 495*c_1001_2^15 + 870*c_1001_2^14 - 328*c_1001_2^13 - 11903*c_1001_2^12 - 903*c_1001_2^11 + 32374*c_1001_2^10 + 3650*c_1001_2^9 - 42988*c_1001_2^8 - 485*c_1001_2^7 + 33168*c_1001_2^6 - 5180*c_1001_2^5 - 14546*c_1001_2^4 + 5324*c_1001_2^3 + 2569*c_1001_2^2 - 1843*c_1001_2 + 303, c_0101_10 - 11415*c_1001_2^15 + 20740*c_1001_2^14 - 8309*c_1001_2^13 - 274452*c_1001_2^12 - 4751*c_1001_2^11 + 758669*c_1001_2^10 + 49441*c_1001_2^9 - 1021060*c_1001_2^8 + 24222*c_1001_2^7 + 792707*c_1001_2^6 - 142193*c_1001_2^5 - 347476*c_1001_2^4 + 132508*c_1001_2^3 + 60847*c_1001_2^2 - 44670*c_1001_2 + 7368, c_0101_4 + 1131*c_1001_2^15 - 1940*c_1001_2^14 + 686*c_1001_2^13 + 27191*c_1001_2^12 + 3233*c_1001_2^11 - 73402*c_1001_2^10 - 11435*c_1001_2^9 + 96608*c_1001_2^8 + 5042*c_1001_2^7 - 74169*c_1001_2^6 + 8826*c_1001_2^5 + 32599*c_1001_2^4 - 10767*c_1001_2^3 - 5900*c_1001_2^2 + 3894*c_1001_2 - 610, c_0101_7 + 1110*c_1001_2^15 - 1894*c_1001_2^14 + 658*c_1001_2^13 + 26689*c_1001_2^12 + 3414*c_1001_2^11 - 71966*c_1001_2^10 - 11865*c_1001_2^9 + 94593*c_1001_2^8 + 5782*c_1001_2^7 - 72589*c_1001_2^6 + 8016*c_1001_2^5 + 31950*c_1001_2^4 - 10265*c_1001_2^3 - 5832*c_1001_2^2 + 3752*c_1001_2 - 575, c_0110_12 - 23106*c_1001_2^15 + 42175*c_1001_2^14 - 17074*c_1001_2^13 - 555530*c_1001_2^12 - 4958*c_1001_2^11 + 1538088*c_1001_2^10 + 88326*c_1001_2^9 - 2073652*c_1001_2^8 + 63024*c_1001_2^7 + 1611420*c_1001_2^6 - 297878*c_1001_2^5 - 706176*c_1001_2^4 + 272706*c_1001_2^3 + 123253*c_1001_2^2 - 91418*c_1001_2 + 15153, c_1001_0 + 8190*c_1001_2^15 - 15015*c_1001_2^14 + 6141*c_1001_2^13 + 196904*c_1001_2^12 + 168*c_1001_2^11 - 545948*c_1001_2^10 - 27260*c_1001_2^9 + 737188*c_1001_2^8 - 27287*c_1001_2^7 - 573363*c_1001_2^6 + 109210*c_1001_2^5 + 251198*c_1001_2^4 - 98292*c_1001_2^3 - 43689*c_1001_2^2 + 32766*c_1001_2 - 5460, c_1001_2^16 - 7/3*c_1001_2^15 + 5/3*c_1001_2^14 + 71/3*c_1001_2^13 - 12*c_1001_2^12 - 200/3*c_1001_2^11 + 30*c_1001_2^10 + 275/3*c_1001_2^9 - 145/3*c_1001_2^8 - 205/3*c_1001_2^7 + 145/3*c_1001_2^6 + 24*c_1001_2^5 - 82/3*c_1001_2^4 + 2/3*c_1001_2^3 + 20/3*c_1001_2^2 - 8/3*c_1001_2 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.110 Total time: 10.320 seconds, Total memory usage: 81.31MB