Magma V2.19-8 Tue Aug 20 2013 16:18:40 on localhost [Seed = 3313785033] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2840 geometric_solution 6.06254458 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 1 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 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 1.695416936800 1.186397310832 3 2 4 0 0132 1023 0132 0132 0 0 0 0 0 0 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 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 -0.100164964038 1.175798750922 1 3 0 5 1023 3201 0132 0132 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 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 -0.100164964038 1.175798750922 1 6 2 6 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.277481399659 0.668847302142 5 6 5 1 1230 1302 0132 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 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 0.224113625774 0.544799639795 6 4 2 4 2031 3012 0132 0132 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 -1 1 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224113625774 0.544799639795 3 3 5 4 3201 0132 1302 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.117371881121 0.791884335283 ==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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0011_5, c_0101_0, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 127152708955/43706225907*c_1100_0^13 - 824222036822/43706225907*c_1100_0^12 + 1774810433324/43706225907*c_1100_0^11 - 2751115018241/43706225907*c_1100_0^10 + 1650398853760/43706225907*c_1100_0^9 - 403352730482/43706225907*c_1100_0^8 - 49663526892/4856247323*c_1100_0^7 - 267857461000/14568741969*c_1100_0^6 + 3984344325727/43706225907*c_1100_0^5 - 1011712149035/14568741969*c_1100_0^4 + 2587023234307/43706225907*c_1100_0^3 + 2716201484075/43706225907*c_1100_0^2 - 1804621530371/43706225907*c_1100_0 + 171450084301/43706225907, c_0011_0 - 1, c_0011_1 + 1063439575/4856247323*c_1100_0^13 - 6057842910/4856247323*c_1100_0^12 + 9219877217/4856247323*c_1100_0^11 - 10056958820/4856247323*c_1100_0^10 - 6532524152/4856247323*c_1100_0^9 + 10108984001/4856247323*c_1100_0^8 - 8031807870/4856247323*c_1100_0^7 - 9529796093/4856247323*c_1100_0^6 + 24156916520/4856247323*c_1100_0^5 + 3030769820/4856247323*c_1100_0^4 - 4155193494/4856247323*c_1100_0^3 + 40456304707/4856247323*c_1100_0^2 + 3926946403/4856247323*c_1100_0 - 8941495856/4856247323, c_0011_4 + 700129378/4856247323*c_1100_0^13 - 3656798157/4856247323*c_1100_0^12 + 4511240724/4856247323*c_1100_0^11 - 5703192255/4856247323*c_1100_0^10 - 4621207862/4856247323*c_1100_0^9 + 2899234026/4856247323*c_1100_0^8 - 3930410618/4856247323*c_1100_0^7 - 3881434762/4856247323*c_1100_0^6 + 13865732871/4856247323*c_1100_0^5 + 9226436181/4856247323*c_1100_0^4 + 5759707774/4856247323*c_1100_0^3 + 25575569241/4856247323*c_1100_0^2 + 9038024383/4856247323*c_1100_0 + 1635332590/4856247323, c_0011_5 + 700129378/4856247323*c_1100_0^13 - 3656798157/4856247323*c_1100_0^12 + 4511240724/4856247323*c_1100_0^11 - 5703192255/4856247323*c_1100_0^10 - 4621207862/4856247323*c_1100_0^9 + 2899234026/4856247323*c_1100_0^8 - 3930410618/4856247323*c_1100_0^7 - 3881434762/4856247323*c_1100_0^6 + 13865732871/4856247323*c_1100_0^5 + 9226436181/4856247323*c_1100_0^4 + 5759707774/4856247323*c_1100_0^3 + 25575569241/4856247323*c_1100_0^2 + 9038024383/4856247323*c_1100_0 + 1635332590/4856247323, c_0101_0 + 378651/45385489*c_1100_0^13 - 2297955/45385489*c_1100_0^12 + 2135703/45385489*c_1100_0^11 + 5026926/45385489*c_1100_0^10 - 11532877/45385489*c_1100_0^9 + 18151917/45385489*c_1100_0^8 + 6532073/45385489*c_1100_0^7 - 655419/45385489*c_1100_0^6 + 20985137/45385489*c_1100_0^5 - 7640041/45385489*c_1100_0^4 - 24439158/45385489*c_1100_0^3 + 2558808/45385489*c_1100_0^2 - 20779511/45385489*c_1100_0 - 45099545/45385489, c_0101_4 - 1497915691/4856247323*c_1100_0^13 + 8330330022/4856247323*c_1100_0^12 - 12032010648/4856247323*c_1100_0^11 + 13547046181/4856247323*c_1100_0^10 + 9375843680/4856247323*c_1100_0^9 - 11102125589/4856247323*c_1100_0^8 + 10908292981/4856247323*c_1100_0^7 + 12188820780/4856247323*c_1100_0^6 - 33686484118/4856247323*c_1100_0^5 - 7665014046/4856247323*c_1100_0^4 - 1677507207/4856247323*c_1100_0^3 - 63698805218/4856247323*c_1100_0^2 - 14469300301/4856247323*c_1100_0 + 4982760522/4856247323, c_1100_0^14 - 5*c_1100_0^13 + 5*c_1100_0^12 - 5*c_1100_0^11 - 11*c_1100_0^10 + 4*c_1100_0^9 - 3*c_1100_0^8 - 12*c_1100_0^7 + 19*c_1100_0^6 + 18*c_1100_0^5 + 4*c_1100_0^4 + 41*c_1100_0^3 + 28*c_1100_0^2 - 2*c_1100_0 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB