Magma V2.19-8 Wed Aug 21 2013 00:56:42 on localhost [Seed = 1478378142] Type ? for help. Type -D to quit. Loading file "L13n2789__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2789 geometric_solution 11.85742047 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 1 0 -1 -1 0 1 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 0.089257642270 0.402745183240 0 4 6 5 0132 2310 0132 0132 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 0 0 0 0 0 -1 1 0 1 0 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 0.703476580358 1.294856339166 3 0 8 7 2310 0132 0132 0132 1 1 0 1 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 0 0 0 0 -1 1 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241320855733 1.079470103667 9 10 2 0 0132 0132 3201 0132 1 0 0 1 0 0 0 0 1 0 -1 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 0 0 0 2 0 -1 -1 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703476580358 1.294856339166 8 7 0 1 1302 0321 0132 3201 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 0 0 0 0 1 -1 0 0 0 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 1.241320855733 1.079470103667 11 10 1 12 0132 1023 0132 0132 1 0 1 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 0 1 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022228943094 0.996877740925 8 10 9 1 0321 1302 0132 0132 1 0 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 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 0.624768281071 0.982802764232 8 10 2 4 2103 0213 0132 0321 1 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 0 0 0 0 0 0 0 0 1 0 -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 0.989392990449 0.902110415837 6 4 7 2 0321 2031 2103 0132 1 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 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 0 0 0 0 0 0 0 0.448099483080 0.503212787664 3 11 12 6 0132 0132 0132 0132 1 0 1 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 1 0 -1 -2 0 2 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 0.022228943094 0.996877740925 5 3 7 6 1023 0132 0213 2031 1 1 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624768281071 0.982802764232 5 9 12 12 0132 0132 0213 3120 1 0 0 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 0 0 0 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 0 0 0 0 0 0 0 0.261379194553 0.524555874263 11 11 5 9 3120 0213 0132 0132 1 0 0 1 0 0 0 0 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 2 -2 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261379194553 0.524555874263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_0_11' : 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' : d['c_0011_12'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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' : 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_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_4'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_1001_1']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_4'], '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' : negation(d['1']), 'c_1100_12' : d['c_1100_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' : 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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), '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_3'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0011_8'])})} 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_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_3, c_0110_10, c_1001_0, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 228923674855124/223335081657*c_1100_1^12 - 68711789494444/74445027219*c_1100_1^11 + 14312525834302/8271669691*c_1100_1^10 - 1564636385095102/223335081657*c_1100_1^9 + 1507305998423273/223335081657*c_1100_1^8 + 332553341882507/74445027219*c_1100_1^7 + 43404158884177/8271669691*c_1100_1^6 + 150899969812567/24815009073*c_1100_1^5 + 554892150024379/74445027219*c_1100_1^4 + 152027565904574/24815009073*c_1100_1^3 + 535270438483285/223335081657*c_1100_1^2 + 364097828921480/223335081657*c_1100_1 + 119734072295542/223335081657, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_12 + 5543008104/8271669691*c_1100_1^12 - 5183690868/8271669691*c_1100_1^11 + 5006888948/8271669691*c_1100_1^10 - 31303267558/8271669691*c_1100_1^9 + 29053522770/8271669691*c_1100_1^8 + 56862131505/8271669691*c_1100_1^7 - 19224817610/8271669691*c_1100_1^6 + 21149240644/8271669691*c_1100_1^5 + 39741532923/8271669691*c_1100_1^4 + 26519001133/8271669691*c_1100_1^3 - 2205733284/8271669691*c_1100_1^2 + 11227753719/8271669691*c_1100_1 + 11284414587/8271669691, c_0011_4 + 3083056760/8271669691*c_1100_1^12 - 2964173060/8271669691*c_1100_1^11 + 5592605344/8271669691*c_1100_1^10 - 20556539602/8271669691*c_1100_1^9 + 20667150724/8271669691*c_1100_1^8 + 11813203939/8271669691*c_1100_1^7 + 10105159305/8271669691*c_1100_1^6 + 25855284419/8271669691*c_1100_1^5 + 32434606906/8271669691*c_1100_1^4 + 13651932811/8271669691*c_1100_1^3 + 8918128511/8271669691*c_1100_1^2 + 9213032212/8271669691*c_1100_1 + 7647211519/8271669691, c_0011_6 + 6493433732/8271669691*c_1100_1^12 - 7984146208/8271669691*c_1100_1^11 + 9671690178/8271669691*c_1100_1^10 - 43427612420/8271669691*c_1100_1^9 + 51207280613/8271669691*c_1100_1^8 + 38282248694/8271669691*c_1100_1^7 - 7257507255/8271669691*c_1100_1^6 + 18635058934/8271669691*c_1100_1^5 + 30493484189/8271669691*c_1100_1^4 + 15229090543/8271669691*c_1100_1^3 - 4996604855/8271669691*c_1100_1^2 + 7196016933/8271669691*c_1100_1 + 5372241083/8271669691, c_0011_7 - 5229674092/8271669691*c_1100_1^12 + 3866697212/8271669691*c_1100_1^11 - 6697998826/8271669691*c_1100_1^10 + 31683804258/8271669691*c_1100_1^9 - 26551747445/8271669691*c_1100_1^8 - 37746773535/8271669691*c_1100_1^7 - 15039115668/8271669691*c_1100_1^6 - 27194185557/8271669691*c_1100_1^5 - 57404256019/8271669691*c_1100_1^4 - 38397727697/8271669691*c_1100_1^3 - 13771778214/8271669691*c_1100_1^2 - 19620979139/8271669691*c_1100_1 - 14014812945/8271669691, c_0011_8 - 3882023800/8271669691*c_1100_1^12 - 829994156/8271669691*c_1100_1^11 + 509644564/8271669691*c_1100_1^10 + 16812086146/8271669691*c_1100_1^9 + 8307799502/8271669691*c_1100_1^8 - 65434758903/8271669691*c_1100_1^7 - 22808316728/8271669691*c_1100_1^6 - 22699747503/8271669691*c_1100_1^5 - 42298794418/8271669691*c_1100_1^4 - 30684208481/8271669691*c_1100_1^3 - 15942210524/8271669691*c_1100_1^2 - 2979016631/8271669691*c_1100_1 - 4250636545/8271669691, c_0101_0 - 1, c_0101_3 + 5229674092/8271669691*c_1100_1^12 - 3866697212/8271669691*c_1100_1^11 + 6697998826/8271669691*c_1100_1^10 - 31683804258/8271669691*c_1100_1^9 + 26551747445/8271669691*c_1100_1^8 + 37746773535/8271669691*c_1100_1^7 + 15039115668/8271669691*c_1100_1^6 + 27194185557/8271669691*c_1100_1^5 + 57404256019/8271669691*c_1100_1^4 + 38397727697/8271669691*c_1100_1^3 + 13771778214/8271669691*c_1100_1^2 + 19620979139/8271669691*c_1100_1 + 14014812945/8271669691, c_0110_10 + 10564823548/8271669691*c_1100_1^12 - 12337387428/8271669691*c_1100_1^11 + 17745653794/8271669691*c_1100_1^10 - 70494088202/8271669691*c_1100_1^9 + 81744143377/8271669691*c_1100_1^8 + 49946797031/8271669691*c_1100_1^7 - 1127253186/8271669691*c_1100_1^6 + 54973065342/8271669691*c_1100_1^5 + 80615344109/8271669691*c_1100_1^4 + 45729035984/8271669691*c_1100_1^3 + 1609353835/8271669691*c_1100_1^2 + 23195191557/8271669691*c_1100_1 + 15897711337/8271669691, c_1001_0 - 3882023800/8271669691*c_1100_1^12 - 829994156/8271669691*c_1100_1^11 + 509644564/8271669691*c_1100_1^10 + 16812086146/8271669691*c_1100_1^9 + 8307799502/8271669691*c_1100_1^8 - 65434758903/8271669691*c_1100_1^7 - 22808316728/8271669691*c_1100_1^6 - 22699747503/8271669691*c_1100_1^5 - 42298794418/8271669691*c_1100_1^4 - 30684208481/8271669691*c_1100_1^3 - 15942210524/8271669691*c_1100_1^2 - 2979016631/8271669691*c_1100_1 - 4250636545/8271669691, c_1001_1 - 6493433732/8271669691*c_1100_1^12 + 7984146208/8271669691*c_1100_1^11 - 9671690178/8271669691*c_1100_1^10 + 43427612420/8271669691*c_1100_1^9 - 51207280613/8271669691*c_1100_1^8 - 38282248694/8271669691*c_1100_1^7 + 7257507255/8271669691*c_1100_1^6 - 18635058934/8271669691*c_1100_1^5 - 30493484189/8271669691*c_1100_1^4 - 15229090543/8271669691*c_1100_1^3 + 4996604855/8271669691*c_1100_1^2 - 7196016933/8271669691*c_1100_1 - 5372241083/8271669691, c_1100_1^13 - c_1100_1^12 + 3/2*c_1100_1^11 - 13/2*c_1100_1^10 + 27/4*c_1100_1^9 + 23/4*c_1100_1^8 + 3/2*c_1100_1^7 + 9/2*c_1100_1^6 + 33/4*c_1100_1^5 + 21/4*c_1100_1^4 + 5/4*c_1100_1^3 + 2*c_1100_1^2 + 7/4*c_1100_1 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB