Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 1511769960] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2769 geometric_solution 6.00130559 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 0 -1 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 0.471475425742 0.229312290864 2 0 3 0 0132 2310 0132 0132 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 0 0 0 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 0.813277619699 0.604935237367 1 4 5 3 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272889573046 1.041590458550 2 5 4 1 3201 1023 1023 0132 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 1 0 -1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272889573046 1.041590458550 6 2 3 6 0132 0132 1023 3201 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687755009657 0.584051969177 3 5 5 2 1023 1230 3012 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222087789615 0.760895727521 4 4 6 6 0132 2310 2031 1302 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 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 1.712567521750 0.967462878985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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' : negation(d['1']), 's_0_6' : 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' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 4*c_0101_4^7 + 74*c_0101_4^3 - 237/2*c_0101_4, c_0011_0 - 1, c_0011_1 + c_0101_4^2 - 1, c_0011_3 + 2*c_0101_4^7 - 9*c_0101_4^5 + 21/2*c_0101_4^3 - 5/2*c_0101_4, c_0101_0 - c_0101_4, c_0101_1 - c_0101_4^4 + 3*c_0101_4^2 - 1, c_0101_4^8 - 11/2*c_0101_4^6 + 35/4*c_0101_4^4 - 7/2*c_0101_4^2 + 1/4, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 163522285983427/209565996503*c_0101_4*c_0101_6^13 + 7788359112976670/628697989509*c_0101_4*c_0101_6^12 + 38271125302408480/628697989509*c_0101_4*c_0101_6^11 + 68688593742291884/628697989509*c_0101_4*c_0101_6^10 + 14306363919813619/628697989509*c_0101_4*c_0101_6^9 - 82867222264602719/628697989509*c_0101_4*c_0101_6^8 - 10653330107108771/628697989509*c_0101_4*c_0101_6^7 + 95711656168248587/628697989509*c_0101_4*c_0101_6^6 + 1447061283425396/209565996503*c_0101_4*c_0101_6^5 - 42092354898948953/628697989509*c_0101_4*c_0101_6^4 + 18653197241797112/628697989509*c_0101_4*c_0101_6^3 + 29692005730853617/628697989509*c_0101_4*c_0101_6^2 + 13818725296598954/628697989509*c_0101_4*c_0101_6 + 2846250170030804/628697989509*c_0101_4, c_0011_0 - 1, c_0011_1 - 23544853/1170759757*c_0101_6^13 - 326331487/1170759757*c_0101_6^12 - 3414187825/3512279271*c_0101_6^11 - 1223429281/3512279271*c_0101_6^10 + 7556794228/3512279271*c_0101_6^9 + 3497497216/3512279271*c_0101_6^8 - 15286840747/3512279271*c_0101_6^7 + 3125154697/3512279271*c_0101_6^6 + 15089453132/3512279271*c_0101_6^5 - 1285712466/1170759757*c_0101_6^4 - 5558767408/3512279271*c_0101_6^3 - 32072267/1170759757*c_0101_6^2 + 3901341737/3512279271*c_0101_6 - 276913855/1170759757, c_0011_3 - 946582256903/628697989509*c_0101_4*c_0101_6^13 - 14966782207217/628697989509*c_0101_4*c_0101_6^12 - 72865953989020/628697989509*c_0101_4*c_0101_6^11 - 127683388165192/628697989509*c_0101_4*c_0101_6^10 - 18971063996417/628697989509*c_0101_4*c_0101_6^9 + 160890336541685/628697989509*c_0101_4*c_0101_6^8 + 9152741246284/628697989509*c_0101_4*c_0101_6^7 - 61500350994110/209565996503*c_0101_4*c_0101_6^6 + 6179141659417/628697989509*c_0101_4*c_0101_6^5 + 26213181433126/209565996503*c_0101_4*c_0101_6^4 - 41891722947473/628697989509*c_0101_4*c_0101_6^3 - 17950598699170/209565996503*c_0101_4*c_0101_6^2 - 7797029791646/209565996503*c_0101_4*c_0101_6 - 1178836388642/209565996503*c_0101_4, c_0101_0 + 800426344646/209565996503*c_0101_4*c_0101_6^13 + 37718164701248/628697989509*c_0101_4*c_0101_6^12 + 181123757450848/628697989509*c_0101_4*c_0101_6^11 + 308002602769955/628697989509*c_0101_4*c_0101_6^10 + 28486193621944/628697989509*c_0101_4*c_0101_6^9 - 395799028252184/628697989509*c_0101_4*c_0101_6^8 + 9773057024653/628697989509*c_0101_4*c_0101_6^7 + 444334010033453/628697989509*c_0101_4*c_0101_6^6 - 14323565252546/209565996503*c_0101_4*c_0101_6^5 - 176360385236984/628697989509*c_0101_4*c_0101_6^4 + 109686149977682/628697989509*c_0101_4*c_0101_6^3 + 120163890179908/628697989509*c_0101_4*c_0101_6^2 + 56204462966036/628697989509*c_0101_4*c_0101_6 + 9483133144082/628697989509*c_0101_4, c_0101_1 - 23544853/1170759757*c_0101_6^13 - 326331487/1170759757*c_0101_6^12 - 3414187825/3512279271*c_0101_6^11 - 1223429281/3512279271*c_0101_6^10 + 7556794228/3512279271*c_0101_6^9 + 3497497216/3512279271*c_0101_6^8 - 15286840747/3512279271*c_0101_6^7 + 3125154697/3512279271*c_0101_6^6 + 15089453132/3512279271*c_0101_6^5 - 1285712466/1170759757*c_0101_6^4 - 5558767408/3512279271*c_0101_6^3 - 32072267/1170759757*c_0101_6^2 + 7413621008/3512279271*c_0101_6 + 893845902/1170759757, c_0101_4^2 - 50386161/1170759757*c_0101_6^13 - 2236576895/3512279271*c_0101_6^12 - 9371754569/3512279271*c_0101_6^11 - 10947253060/3512279271*c_0101_6^10 + 8015935901/3512279271*c_0101_6^9 + 18324126784/3512279271*c_0101_6^8 - 16475086348/3512279271*c_0101_6^7 - 17491028138/3512279271*c_0101_6^6 + 3192845559/1170759757*c_0101_6^5 + 3722268874/3512279271*c_0101_6^4 - 1474798325/1170759757*c_0101_6^3 - 10027099691/3512279271*c_0101_6^2 + 41465325/1170759757*c_0101_6 - 23544853/1170759757, c_0101_6^14 + 16*c_0101_6^13 + 80*c_0101_6^12 + 150*c_0101_6^11 + 48*c_0101_6^10 - 163*c_0101_6^9 - 43*c_0101_6^8 + 189*c_0101_6^7 + 34*c_0101_6^6 - 81*c_0101_6^5 + 26*c_0101_6^4 + 64*c_0101_6^3 + 37*c_0101_6^2 + 10*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB