Magma V2.19-8 Tue Aug 20 2013 23:47:29 on localhost [Seed = 1713376317] Type ? for help. Type -D to quit. Loading file "L10n21__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n21 geometric_solution 10.68454458 oriented_manifold CS_known -0.0000000000000003 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 -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 -1 0 1 0 0 -3 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.174719281720 0.947722826782 0 5 4 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 -2 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606466854387 0.284238798981 4 0 6 5 0213 0132 0132 1230 1 1 1 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 2 0 -2 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 1.174719281720 0.947722826782 6 7 8 0 0132 0132 0132 0132 1 1 1 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 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 0 0.580387642586 0.478340108598 2 8 0 1 0213 3012 0132 0132 1 1 1 1 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 -1 1 1 0 -3 2 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307067552722 1.278893729912 2 1 9 8 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 -1 1 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 0.825783508568 0.609680634208 3 10 1 2 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 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 0.580387642586 0.478340108598 11 3 9 11 0132 0132 1302 2103 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845633226096 1.026037887613 4 11 5 3 1230 2103 1230 0132 1 1 1 1 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 1.208003280022 0.757823761123 7 10 10 5 2031 0321 3201 0132 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 1 -1 0 0 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845633226096 1.026037887613 9 6 11 9 2310 0132 3120 0321 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 0 0 1 0 -1 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 0.845633226096 1.026037887613 7 8 10 7 0132 2103 3120 2103 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845633226096 1.026037887613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0110_5'], 's_3_1' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_4']})} 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_4, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_5, c_0101_8, c_0110_5, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1543923479121/568306630434800*c_1001_5^9 + 5546397693293/568306630434800*c_1001_5^8 + 1018217542877/284153315217400*c_1001_5^7 - 122822322937/1535963866040*c_1001_5^6 + 6398229371259/56830663043480*c_1001_5^5 + 19329027482587/284153315217400*c_1001_5^4 - 66776083949551/142076657608700*c_1001_5^3 + 367358973656361/568306630434800*c_1001_5^2 + 537956156597689/1136613260869600*c_1001_5 - 1420862786159907/1136613260869600, c_0011_0 - 1, c_0011_10 + 154822540/1037813423*c_1001_5^9 + 54239380/1037813423*c_1001_5^8 - 654360880/1037813423*c_1001_5^7 + 1133259836/1037813423*c_1001_5^6 - 421278656/1037813423*c_1001_5^5 - 5666680900/1037813423*c_1001_5^4 + 7053841668/1037813423*c_1001_5^3 + 2219898418/1037813423*c_1001_5^2 - 8139462294/1037813423*c_1001_5 + 15488145334/1037813423, c_0011_4 + 135622196/1037813423*c_1001_5^9 + 61163094/1037813423*c_1001_5^8 - 612642980/1037813423*c_1001_5^7 + 1011000638/1037813423*c_1001_5^6 - 402744920/1037813423*c_1001_5^5 - 5429634708/1037813423*c_1001_5^4 + 6760703568/1037813423*c_1001_5^3 + 1579792956/1037813423*c_1001_5^2 - 8238527804/1037813423*c_1001_5 + 15637680579/1037813423, c_0011_8 - 177556472/1037813423*c_1001_5^9 - 49328224/1037813423*c_1001_5^8 + 780768608/1037813423*c_1001_5^7 - 1373374092/1037813423*c_1001_5^6 + 638064954/1037813423*c_1001_5^5 + 6694461036/1037813423*c_1001_5^4 - 8572633198/1037813423*c_1001_5^3 - 1719928764/1037813423*c_1001_5^2 + 10353352273/1037813423*c_1001_5 - 18215553592/1037813423, c_0011_9 + 1, c_0101_0 + 135622196/1037813423*c_1001_5^9 + 61163094/1037813423*c_1001_5^8 - 612642980/1037813423*c_1001_5^7 + 1011000638/1037813423*c_1001_5^6 - 402744920/1037813423*c_1001_5^5 - 5429634708/1037813423*c_1001_5^4 + 6760703568/1037813423*c_1001_5^3 + 1579792956/1037813423*c_1001_5^2 - 8238527804/1037813423*c_1001_5 + 15637680579/1037813423, c_0101_10 + 4006/65647*c_1001_5^9 + 2724/65647*c_1001_5^8 - 21324/65647*c_1001_5^7 + 33392/65647*c_1001_5^6 + 5552/65647*c_1001_5^5 - 203454/65647*c_1001_5^4 + 236324/65647*c_1001_5^3 + 102012/65647*c_1001_5^2 - 408195/65647*c_1001_5 + 563971/65647, c_0101_5 + 177556472/1037813423*c_1001_5^9 + 49328224/1037813423*c_1001_5^8 - 780768608/1037813423*c_1001_5^7 + 1373374092/1037813423*c_1001_5^6 - 638064954/1037813423*c_1001_5^5 - 6694461036/1037813423*c_1001_5^4 + 8572633198/1037813423*c_1001_5^3 + 1719928764/1037813423*c_1001_5^2 - 10353352273/1037813423*c_1001_5 + 18215553592/1037813423, c_0101_8 - 84431220/1037813423*c_1001_5^9 - 89179972/1037813423*c_1001_5^8 + 441082050/1037813423*c_1001_5^7 - 547784992/1037813423*c_1001_5^6 - 202442504/1037813423*c_1001_5^5 + 4424472648/1037813423*c_1001_5^4 - 4109348424/1037813423*c_1001_5^3 - 2844391728/1037813423*c_1001_5^2 + 7676277235/1037813423*c_1001_5 - 12240307936/1037813423, c_0110_5 - 130262814/1037813423*c_1001_5^9 - 22045516/1037813423*c_1001_5^8 + 592454206/1037813423*c_1001_5^7 - 1026513732/1037813423*c_1001_5^6 + 432816850/1037813423*c_1001_5^5 + 5075556168/1037813423*c_1001_5^4 - 6804898212/1037813423*c_1001_5^3 - 2102324674/1037813423*c_1001_5^2 + 8808840446/1037813423*c_1001_5 - 14313283052/1037813423, c_1001_3 - c_1001_5, c_1001_5^10 + 2*c_1001_5^9 - 4*c_1001_5^8 + 10*c_1001_5^6 - 44*c_1001_5^5 - 16*c_1001_5^4 + 99*c_1001_5^3 - 79/2*c_1001_5^2 + c_1001_5 + 185 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB