Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 1781266107] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1197 geometric_solution 5.09034349 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 2.008851066117 1.161398021795 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.634054240875 0.170095634972 0 3 4 0 3201 0132 0132 0132 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 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 0.528412683270 0.508287219851 5 2 4 6 0132 0132 1302 0132 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 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 0.466519685410 0.393866541070 3 6 5 2 2031 1023 1023 0132 0 0 0 0 0 1 0 -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 -1 0 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 0.466519685410 0.393866541070 3 5 4 5 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231381546450 1.448110444528 4 6 3 6 1023 2310 0132 3201 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 -1 1 1 0 0 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014833947763 0.719374204919 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 20075198559/6003031150*c_0110_6^12 + 283189273489/12006062300*c_0110_6^11 - 407999560667/6003031150*c_0110_6^10 + 397734203799/3001515575*c_0110_6^9 - 464444883116/3001515575*c_0110_6^8 + 100029070739/12006062300*c_0110_6^7 + 1379073738201/12006062300*c_0110_6^6 - 1643962305377/12006062300*c_0110_6^5 + 126624469108/3001515575*c_0110_6^4 + 102444847307/12006062300*c_0110_6^3 + 48750785813/12006062300*c_0110_6^2 - 346287232009/12006062300*c_0110_6 + 211524875723/12006062300, c_0011_0 - 1, c_0011_2 - 49076727/120060623*c_0110_6^12 + 328463503/120060623*c_0110_6^11 - 877701572/120060623*c_0110_6^10 + 1630897622/120060623*c_0110_6^9 - 1742963867/120060623*c_0110_6^8 - 296108589/120060623*c_0110_6^7 + 1092912390/120060623*c_0110_6^6 - 853908329/120060623*c_0110_6^5 - 192516068/120060623*c_0110_6^4 + 298739315/120060623*c_0110_6^3 + 17295899/120060623*c_0110_6^2 - 324957052/120060623*c_0110_6 + 22753832/120060623, c_0011_4 + 39659633/120060623*c_0110_6^12 - 256905334/120060623*c_0110_6^11 + 668627299/120060623*c_0110_6^10 - 1261347607/120060623*c_0110_6^9 + 1326830796/120060623*c_0110_6^8 + 232787488/120060623*c_0110_6^7 - 675187525/120060623*c_0110_6^6 + 1047450678/120060623*c_0110_6^5 + 43125478/120060623*c_0110_6^4 - 122683458/120060623*c_0110_6^3 + 26006035/120060623*c_0110_6^2 + 103283383/120060623*c_0110_6 - 36021699/120060623, c_0101_0 + 21609292/120060623*c_0110_6^12 - 164018013/120060623*c_0110_6^11 + 515294334/120060623*c_0110_6^10 - 1069470509/120060623*c_0110_6^9 + 1460657332/120060623*c_0110_6^8 - 674641997/120060623*c_0110_6^7 - 386042350/120060623*c_0110_6^6 + 617341187/120060623*c_0110_6^5 - 492592609/120060623*c_0110_6^4 - 93089956/120060623*c_0110_6^3 + 4854473/120060623*c_0110_6^2 + 26358189/120060623*c_0110_6 - 121666961/120060623, c_0101_1 + 34366703/120060623*c_0110_6^12 - 227102241/120060623*c_0110_6^11 + 613589655/120060623*c_0110_6^10 - 1200358118/120060623*c_0110_6^9 + 1376249694/120060623*c_0110_6^8 - 132575474/120060623*c_0110_6^7 - 373787009/120060623*c_0110_6^6 + 856715648/120060623*c_0110_6^5 + 55446484/120060623*c_0110_6^4 + 75704544/120060623*c_0110_6^3 + 108503121/120060623*c_0110_6^2 + 144105758/120060623*c_0110_6 - 44173198/120060623, c_0101_5 - 3467427/120060623*c_0110_6^12 + 45691355/120060623*c_0110_6^11 - 204574078/120060623*c_0110_6^10 + 462255711/120060623*c_0110_6^9 - 730744999/120060623*c_0110_6^8 + 572088467/120060623*c_0110_6^7 + 346303018/120060623*c_0110_6^6 - 200420616/120060623*c_0110_6^5 - 140802499/120060623*c_0110_6^4 + 24932097/120060623*c_0110_6^3 - 34285344/120060623*c_0110_6^2 - 278655225/120060623*c_0110_6 + 34538823/120060623, c_0110_6^13 - 7*c_0110_6^12 + 20*c_0110_6^11 - 39*c_0110_6^10 + 46*c_0110_6^9 - 5*c_0110_6^8 - 25*c_0110_6^7 + 27*c_0110_6^6 - 8*c_0110_6^4 + 7*c_0110_6^2 - 3*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB