Magma V2.19-8 Tue Aug 20 2013 23:52:54 on localhost [Seed = 4122189375] Type ? for help. Type -D to quit. Loading file "K12n333__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n333 geometric_solution 11.54585600 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 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 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 0.875693021292 0.939597143954 0 4 6 5 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598887419698 0.204492256948 7 0 7 3 0132 0132 3012 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 3 0 -3 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 0.356135888663 0.697300013291 5 8 2 0 0132 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 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 -0.105542776217 0.770299075766 9 1 0 7 0132 2103 0132 3012 0 0 0 0 0 0 0 0 -1 0 0 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 1 -1 -3 0 0 3 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020182294611 1.633298948376 3 10 1 10 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137588314226 1.293605112789 11 9 11 1 0132 3120 3012 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 4 0 -4 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 0.235495396095 1.205806078014 2 2 4 11 0132 1230 1230 1023 0 0 0 0 0 1 -1 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 3 -3 0 -3 0 3 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 0.714778499697 0.774099765095 12 3 9 9 0132 0132 0321 0213 0 0 0 0 0 0 0 0 1 0 -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 -1 1 0 4 0 -3 -1 -4 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235495396095 1.205806078014 4 6 8 8 0132 3120 0321 0213 0 0 0 0 0 0 0 0 1 0 0 -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 1 -1 0 3 0 0 -3 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235495396095 1.205806078014 12 5 12 5 1023 0132 0132 1023 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 4 0 -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 0.365843967185 0.351785014798 6 6 12 7 0132 1230 0321 1023 0 0 0 0 0 1 -1 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 4 -4 0 -4 0 4 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 0.375044768997 0.591535040697 8 10 11 10 0132 1023 0321 0132 0 0 0 0 0 -1 1 0 -1 0 0 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 -4 4 0 -4 0 0 4 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014618735754 1.197287106329 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_0'], '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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], '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' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 65865049507/205689693472*c_1001_7^7 + 112873327421/205689693472*c_1001_7^6 + 616108624607/205689693472*c_1001_7^5 + 1807152227109/205689693472*c_1001_7^4 + 735975923677/205689693472*c_1001_7^3 + 42048138299/5016821792*c_1001_7^2 + 7248799181849/205689693472*c_1001_7 - 10448870133597/205689693472, c_0011_0 - 1, c_0011_10 - 8609/395072*c_1001_7^7 - 33157/395072*c_1001_7^6 - 132405/395072*c_1001_7^5 - 473837/395072*c_1001_7^4 - 861111/395072*c_1001_7^3 - 1298387/395072*c_1001_7^2 - 2535099/395072*c_1001_7 - 1880755/395072, c_0011_11 + 339/24692*c_1001_7^7 + 285/6173*c_1001_7^6 + 4643/24692*c_1001_7^5 + 15971/24692*c_1001_7^4 + 23081/24692*c_1001_7^3 + 16849/12346*c_1001_7^2 + 65161/24692*c_1001_7 + 22755/24692, c_0011_4 + 1623/395072*c_1001_7^7 + 9555/395072*c_1001_7^6 + 32499/395072*c_1001_7^5 + 135243/395072*c_1001_7^4 + 285969/395072*c_1001_7^3 + 387221/395072*c_1001_7^2 + 814109/395072*c_1001_7 + 687893/395072, c_0101_0 - 67/395072*c_1001_7^7 - 5415/395072*c_1001_7^6 - 20511/395072*c_1001_7^5 - 74319/395072*c_1001_7^4 - 253157/395072*c_1001_7^3 - 391553/395072*c_1001_7^2 - 774033/395072*c_1001_7 - 365809/395072, c_0101_1 - 4065/395072*c_1001_7^7 - 13069/395072*c_1001_7^6 - 48901/395072*c_1001_7^5 - 155893/395072*c_1001_7^4 - 190455/395072*c_1001_7^3 - 166827/395072*c_1001_7^2 - 462763/395072*c_1001_7 - 390091/395072, c_0101_10 - 1623/395072*c_1001_7^7 - 9555/395072*c_1001_7^6 - 32499/395072*c_1001_7^5 - 135243/395072*c_1001_7^4 - 285969/395072*c_1001_7^3 - 387221/395072*c_1001_7^2 - 814109/395072*c_1001_7 - 687893/395072, c_0101_2 + 339/24692*c_1001_7^7 + 285/6173*c_1001_7^6 + 4643/24692*c_1001_7^5 + 15971/24692*c_1001_7^4 + 23081/24692*c_1001_7^3 + 16849/12346*c_1001_7^2 + 65161/24692*c_1001_7 + 22755/24692, c_0101_3 + 6445/395072*c_1001_7^7 + 20417/395072*c_1001_7^6 + 89073/395072*c_1001_7^5 + 293513/395072*c_1001_7^4 + 479819/395072*c_1001_7^3 + 716247/395072*c_1001_7^2 + 1186239/395072*c_1001_7 + 897719/395072, c_0110_10 + 649/197536*c_1001_7^7 + 489/197536*c_1001_7^6 + 9253/197536*c_1001_7^5 + 23729/197536*c_1001_7^4 + 49359/197536*c_1001_7^3 + 178559/197536*c_1001_7^2 + 222059/197536*c_1001_7 + 57439/197536, c_1001_0 - 6919/395072*c_1001_7^7 - 18187/395072*c_1001_7^6 - 79395/395072*c_1001_7^5 - 264275/395072*c_1001_7^4 - 321985/395072*c_1001_7^3 - 519613/395072*c_1001_7^2 - 1342029/395072*c_1001_7 - 431981/395072, c_1001_11 - 1221/197536*c_1001_7^7 - 1757/197536*c_1001_7^6 - 8201/197536*c_1001_7^5 - 10325/197536*c_1001_7^4 + 47757/197536*c_1001_7^3 + 110197/197536*c_1001_7^2 + 175673/197536*c_1001_7 + 148901/197536, c_1001_7^8 + 4*c_1001_7^7 + 16*c_1001_7^6 + 56*c_1001_7^5 + 106*c_1001_7^4 + 156*c_1001_7^3 + 296*c_1001_7^2 + 280*c_1001_7 + 109 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.380 Total time: 6.580 seconds, Total memory usage: 32.09MB