Magma V2.19-8 Tue Aug 20 2013 17:56:28 on localhost [Seed = 593663771] Type ? for help. Type -D to quit. Loading file "10_28__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_28 geometric_solution 10.26467495 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 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 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 0.810145154603 0.608991841657 0 4 0 5 0132 0132 3012 0132 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 -4 0 4 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 0.211312074235 0.592862291005 3 6 7 0 1023 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 -1 0 1 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 0.303181086398 0.720003048307 7 2 0 5 0132 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.235595793541 1.546214696512 8 1 9 9 0132 0132 0132 2031 0 0 0 0 0 1 -1 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 4 -5 1 -5 0 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379876835942 0.395349498626 3 9 1 10 3012 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 1.176435090786 1.582663419038 11 2 10 11 0132 0132 1230 0213 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 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057640864464 0.531892831340 3 11 10 2 0132 0132 1302 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 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 0.032667795259 0.800552116770 4 9 10 11 0132 1023 0213 1302 0 0 0 0 0 0 -1 1 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 -4 4 5 0 0 -5 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317216500216 0.754472292875 8 4 5 4 1023 1302 3012 0132 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 -5 0 5 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 1.356426604972 0.919818349950 7 8 5 6 2031 0213 0132 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380062885342 0.507640818621 6 7 8 6 0132 0132 2031 0213 0 0 0 0 0 0 0 0 0 0 -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 -1 1 0 0 -4 4 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.761414372157 0.736575880565 ==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' : d['c_0101_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_9'], 'c_1010_11' : d['c_0110_10'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : 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' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1100_9' : negation(d['c_1001_4']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_4']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_1001_0']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_4'], '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' : negation(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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : d['c_0110_10'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_11']})} 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_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_9, c_0110_10, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 16730838653147589818/232379274549786453*c_1001_4^25 - 22528569823294762957/232379274549786453*c_1001_4^24 + 63719778492472448422/77459758183262151*c_1001_4^23 - 8387604732398782970/8606639798140239*c_1001_4^22 + 100026989071549930048/25819919394420717*c_1001_4^21 - 933193049189955695177/232379274549786453*c_1001_4^20 + 2224237857291735094100/232379274549786453*c_1001_4^19 - 1977896129844367160384/232379274549786453*c_1001_4^18 + 3031252775112625051580/232379274549786453*c_1001_4^17 - 116231142541774785352/12230488134199287*c_1001_4^16 + 2261164755781146213638/232379274549786453*c_1001_4^15 - 1231996029053126898469/232379274549786453*c_1001_4^14 + 1140973251774237011771/232379274549786453*c_1001_4^13 - 530755952546123136512/232379274549786453*c_1001_4^12 + 822504821762425613897/232379274549786453*c_1001_4^11 - 17405902139168003651/8013078432751257*c_1001_4^10 + 389406530196234487705/232379274549786453*c_1001_4^9 - 54645931822092315266/77459758183262151*c_1001_4^8 - 6272838639068095699/232379274549786453*c_1001_4^7 + 1906759977135732383/8606639798140239*c_1001_4^6 + 2273248293364952761/8606639798140239*c_1001_4^5 - 50185358282322879542/232379274549786453*c_1001_4^4 - 182582495088912415/5667787184141133*c_1001_4^3 - 9703710132252719938/232379274549786453*c_1001_4^2 + 12092613644816019671/232379274549786453*c_1001_4 - 1813477594811923168/232379274549786453, c_0011_0 - 1, c_0011_10 + c_1001_4^2 + 1, c_0011_11 + c_1001_4^15 + 8*c_1001_4^13 + 24*c_1001_4^11 + 32*c_1001_4^9 + 18*c_1001_4^7 + 8*c_1001_4^5 + 8*c_1001_4^3, c_0101_0 - c_1001_4^17 - 8*c_1001_4^15 - 25*c_1001_4^13 - 38*c_1001_4^11 - 31*c_1001_4^9 - 20*c_1001_4^7 - 14*c_1001_4^5 - 4*c_1001_4^3 - c_1001_4, c_0101_1 - c_1001_4^18 - 9*c_1001_4^16 - 32*c_1001_4^14 - 55*c_1001_4^12 - 45*c_1001_4^10 - 19*c_1001_4^8 - 16*c_1001_4^6 - 10*c_1001_4^4 + 3*c_1001_4^2 - 1, c_0101_10 + c_1001_4^14 + 7*c_1001_4^12 + 18*c_1001_4^10 + 19*c_1001_4^8 + 6*c_1001_4^6 + 2*c_1001_4^4 + 4*c_1001_4^2 - 1, c_0101_11 + c_1001_4^7 + 4*c_1001_4^5 + 4*c_1001_4^3, c_0101_4 + c_1001_4^3 + 2*c_1001_4, c_0101_9 + c_1001_4^4 + 3*c_1001_4^2 + 1, c_0110_10 - c_1001_4^11 - 6*c_1001_4^9 - 12*c_1001_4^7 - 8*c_1001_4^5 - c_1001_4^3 - 2*c_1001_4, c_1001_0 - c_1001_4^19 - 10*c_1001_4^17 - 40*c_1001_4^15 - 80*c_1001_4^13 - 83*c_1001_4^11 - 50*c_1001_4^9 - 36*c_1001_4^7 - 24*c_1001_4^5 - c_1001_4^3 - 2*c_1001_4, c_1001_4^26 - c_1001_4^25 + 13*c_1001_4^24 - 12*c_1001_4^23 + 72*c_1001_4^22 - 61*c_1001_4^21 + 219*c_1001_4^20 - 168*c_1001_4^19 + 393*c_1001_4^18 - 265*c_1001_4^17 + 419*c_1001_4^16 - 232*c_1001_4^15 + 272*c_1001_4^14 - 108*c_1001_4^13 + 150*c_1001_4^12 - 52*c_1001_4^11 + 102*c_1001_4^10 - 46*c_1001_4^9 + 34*c_1001_4^8 - 8*c_1001_4^7 + 5*c_1001_4^5 + 7*c_1001_4^4 - 6*c_1001_4^3 - c_1001_4^2 - c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.170 Total time: 1.379 seconds, Total memory usage: 32.09MB