Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 3364443166] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1121 geometric_solution 4.98754434 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567145480844 0.062346730939 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 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 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 0.485873833601 0.284273766361 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 1 -1 0 0 -1 1 2 -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 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 0.208521855062 1.048450497468 5 2 6 1 1302 1230 0132 0132 0 0 0 0 0 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 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 -0.811237802960 1.684511787984 6 2 5 5 2310 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 1 -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 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 1.397501313964 1.051692351773 4 3 2 4 2031 2031 0132 2103 0 0 0 0 0 -1 1 0 0 0 -1 1 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 -1 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 0 0 0 0.831934677597 2.036653520230 6 6 4 3 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751682747107 1.392245663187 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_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_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_0011_5, c_0101_1, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 253209206/10877517*c_0110_0^21 + 77295695/3107862*c_0110_0^20 + 4844407831/10877517*c_0110_0^19 - 4559756828/10877517*c_0110_0^18 - 11474800667/3107862*c_0110_0^17 + 7083934343/2417226*c_0110_0^16 + 18025240241/1035954*c_0110_0^15 - 118582624486/10877517*c_0110_0^14 - 558128319775/10877517*c_0110_0^13 + 247426831280/10877517*c_0110_0^12 + 710117837395/7251678*c_0110_0^11 - 270073092838/10877517*c_0110_0^10 - 435104585096/3625839*c_0110_0^9 + 198059898131/21755034*c_0110_0^8 + 967814816221/10877517*c_0110_0^7 + 57418995562/10877517*c_0110_0^6 - 367067190286/10877517*c_0110_0^5 - 73770621335/21755034*c_0110_0^4 + 80304877087/21755034*c_0110_0^3 - 6499158577/10877517*c_0110_0^2 - 92291569/1553931*c_0110_0 - 1357666313/21755034, c_0011_0 - 1, c_0011_1 - c_0110_0^2 + 1, c_0011_3 + 21768/57553*c_0110_0^21 + 10978/57553*c_0110_0^20 - 394550/57553*c_0110_0^19 - 239220/57553*c_0110_0^18 + 2994319/57553*c_0110_0^17 + 2150002/57553*c_0110_0^16 - 12267376/57553*c_0110_0^15 - 10385185/57553*c_0110_0^14 + 28993809/57553*c_0110_0^13 + 29294493/57553*c_0110_0^12 - 38457668/57553*c_0110_0^11 - 48643080/57553*c_0110_0^10 + 23625283/57553*c_0110_0^9 + 44660647/57553*c_0110_0^8 + 479132/57553*c_0110_0^7 - 18386193/57553*c_0110_0^6 - 6574838/57553*c_0110_0^5 + 935259/57553*c_0110_0^4 + 1511561/57553*c_0110_0^3 + 295828/57553*c_0110_0^2 - 151553/57553*c_0110_0 + 206/57553, c_0011_5 - 123691/172659*c_0110_0^21 - 6799/172659*c_0110_0^20 + 2327903/172659*c_0110_0^19 + 322241/172659*c_0110_0^18 - 18656093/172659*c_0110_0^17 - 1385371/57553*c_0110_0^16 + 27656150/57553*c_0110_0^15 + 25428856/172659*c_0110_0^14 - 223604156/172659*c_0110_0^13 - 86650754/172659*c_0110_0^12 + 124784723/57553*c_0110_0^11 + 172423054/172659*c_0110_0^10 - 127994814/57553*c_0110_0^9 - 196000753/172659*c_0110_0^8 + 230435627/172659*c_0110_0^7 + 114301214/172659*c_0110_0^6 - 75827405/172659*c_0110_0^5 - 25001339/172659*c_0110_0^4 + 13051222/172659*c_0110_0^3 + 501046/172659*c_0110_0^2 - 371150/172659*c_0110_0 - 93047/172659, c_0101_1 + c_0110_0^3 - 2*c_0110_0, c_0101_6 + 6991/172659*c_0110_0^21 - 1355/172659*c_0110_0^20 - 129056/172659*c_0110_0^19 + 47257/172659*c_0110_0^18 + 1016222/172659*c_0110_0^17 - 195654/57553*c_0110_0^16 - 1501643/57553*c_0110_0^15 + 3696146/172659*c_0110_0^14 + 12631016/172659*c_0110_0^13 - 13310263/172659*c_0110_0^12 - 8063217/57553*c_0110_0^11 + 28485239/172659*c_0110_0^10 + 11122441/57553*c_0110_0^9 - 35791820/172659*c_0110_0^8 - 32592563/172659*c_0110_0^7 + 24716254/172659*c_0110_0^6 + 19079867/172659*c_0110_0^5 - 8050711/172659*c_0110_0^4 - 4080205/172659*c_0110_0^3 + 869393/172659*c_0110_0^2 - 271717/172659*c_0110_0 + 30392/172659, c_0110_0^22 - c_0110_0^21 - 19*c_0110_0^20 + 17*c_0110_0^19 + 156*c_0110_0^18 - 121*c_0110_0^17 - 726*c_0110_0^16 + 467*c_0110_0^15 + 2110*c_0110_0^14 - 1055*c_0110_0^13 - 3973*c_0110_0^12 + 1403*c_0110_0^11 + 4847*c_0110_0^10 - 1061*c_0110_0^9 - 3679*c_0110_0^8 + 464*c_0110_0^7 + 1545*c_0110_0^6 - 182*c_0110_0^5 - 254*c_0110_0^4 + 67*c_0110_0^3 + c_0110_0^2 + c_0110_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB