Magma V2.19-8 Tue Aug 20 2013 23:57:51 on localhost [Seed = 813062381] Type ? for help. Type -D to quit. Loading file "L14n374__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n374 geometric_solution 11.12854463 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 2 0 -2 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177279508029 0.772034007311 0 5 7 6 0132 0132 0132 0132 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 0 0 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 0.191817471310 0.979579786015 5 0 4 8 0132 0132 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 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 0.282533113621 1.230402624262 8 9 6 0 0132 0132 2031 0132 1 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 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 0 0 0.555929854668 0.741608454587 2 7 0 10 2103 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707334548557 1.213026414596 2 1 6 7 0132 0132 2103 3120 1 1 0 1 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 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 0 0 -0.192516208993 0.983148122648 5 10 1 3 2103 1302 0132 1302 1 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 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 0.998475003264 0.823174408505 5 4 9 1 3120 0132 1230 0132 1 1 0 1 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 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 0.595908735655 0.489789893008 3 11 2 9 0132 0132 0132 3120 1 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 0 0 0 0 0 0 0 -1 1 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 0.393780019345 0.437144651360 8 3 11 7 3120 0132 0132 3012 1 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 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001182629063 0.936019389219 11 11 4 6 0132 1230 0132 2031 1 1 1 1 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 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466206171784 0.648246539133 10 8 10 9 0132 0132 3012 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268778522448 1.016742850807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_1010_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], '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_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_10, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 333134988176896/6316425585925*c_1010_6^7 - 43237867285248/217807778825*c_1010_6^6 - 188366749913856/6316425585925*c_1010_6^5 + 5105426871062016/6316425585925*c_1010_6^4 + 5889013018344992/6316425585925*c_1010_6^3 - 3833464354615856/6316425585925*c_1010_6^2 - 8743264736095488/6316425585925*c_1010_6 - 2721386796807656/6316425585925, c_0011_0 - 1, c_0011_10 - 37420/107177*c_1010_6^7 - 123700/107177*c_1010_6^6 + 23165/107177*c_1010_6^5 + 524595/107177*c_1010_6^4 + 422333/107177*c_1010_6^3 - 484968/107177*c_1010_6^2 - 2752681/428708*c_1010_6 - 654419/428708, c_0011_4 - 1500/107177*c_1010_6^7 + 14976/107177*c_1010_6^6 + 44693/107177*c_1010_6^5 - 60600/107177*c_1010_6^4 - 240788/107177*c_1010_6^3 + 2843/107177*c_1010_6^2 + 1539301/428708*c_1010_6 + 137409/107177, c_0011_6 - 23096/107177*c_1010_6^7 - 30064/107177*c_1010_6^6 + 140550/107177*c_1010_6^5 + 267304/107177*c_1010_6^4 - 154647/107177*c_1010_6^3 - 482393/107177*c_1010_6^2 - 116785/107177*c_1010_6 + 75569/214354, c_0101_0 - 1, c_0101_1 + 1408/1757*c_1010_6^7 + 4384/1757*c_1010_6^6 - 496/1757*c_1010_6^5 - 16208/1757*c_1010_6^4 - 14188/1757*c_1010_6^3 + 11378/1757*c_1010_6^2 + 19620/1757*c_1010_6 + 5366/1757, c_0101_10 + 3000/107177*c_1010_6^7 - 29952/107177*c_1010_6^6 - 89386/107177*c_1010_6^5 + 121200/107177*c_1010_6^4 + 481576/107177*c_1010_6^3 - 5686/107177*c_1010_6^2 - 1324947/214354*c_1010_6 - 274818/107177, c_0101_3 + 8524/107177*c_1010_6^7 - 19940/107177*c_1010_6^6 - 81349/107177*c_1010_6^5 + 151451/107177*c_1010_6^4 + 471175/107177*c_1010_6^3 - 143625/107177*c_1010_6^2 - 3008935/428708*c_1010_6 - 884685/428708, c_0101_7 - 5524/107177*c_1010_6^7 - 10012/107177*c_1010_6^6 - 8037/107177*c_1010_6^5 - 30251/107177*c_1010_6^4 + 10401/107177*c_1010_6^3 + 137939/107177*c_1010_6^2 - 69667/428708*c_1010_6 - 214587/428708, c_1001_0 - 71888/107177*c_1010_6^7 - 192846/107177*c_1010_6^6 + 184732/107177*c_1010_6^5 + 1929629/214354*c_1010_6^4 + 397672/107177*c_1010_6^3 - 1113575/107177*c_1010_6^2 - 2038929/214354*c_1010_6 - 1624895/857416, c_1001_10 + 168/15311*c_1010_6^7 - 4862/15311*c_1010_6^6 - 1086/15311*c_1010_6^5 + 84005/30622*c_1010_6^4 + 49996/15311*c_1010_6^3 - 60705/15311*c_1010_6^2 - 95954/15311*c_1010_6 - 245239/122488, c_1010_6^8 + 4*c_1010_6^7 + 3/2*c_1010_6^6 - 15*c_1010_6^5 - 339/16*c_1010_6^4 + 27/4*c_1010_6^3 + 451/16*c_1010_6^2 + 235/16*c_1010_6 + 169/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB