Magma V2.19-8 Wed Aug 21 2013 00:55:21 on localhost [Seed = 1578648615] Type ? for help. Type -D to quit. Loading file "L13a4974__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4974 geometric_solution 11.47249702 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 1 0 -1 1 0 -1 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 0.903947626384 1.319161173260 0 2 0 3 0132 3120 2310 3120 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.646523688668 0.515839869443 4 1 5 0 0132 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.257423937716 0.803321303818 1 5 0 4 3120 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 1 -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 0.257423937716 0.803321303818 2 6 3 7 0132 0132 0132 0132 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 0 0 0 0 0 -1 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 0.628911875949 0.886832867638 6 3 7 2 0132 0132 0132 0132 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 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 0.628911875949 0.886832867638 5 4 9 8 0132 0132 0132 0132 1 0 0 1 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 1 4 -5 1 0 -1 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 0.471469992474 0.574849597493 8 10 4 5 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471469992474 0.574849597493 7 10 6 9 0132 0213 0132 3120 1 0 1 0 0 0 1 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 -4 0 4 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.719080713419 0.894370239123 8 11 10 6 3120 0132 1302 0132 1 0 1 1 0 0 1 -1 0 0 0 0 -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 0 4 -4 0 0 -1 1 -4 5 0 -1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283395635073 0.567844401535 9 7 8 11 2031 0132 0213 0132 1 1 1 0 0 0 0 0 -1 0 1 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 0 0 0 -4 0 4 0 5 0 0 -5 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283395635073 0.567844401535 12 9 10 12 0132 0132 0132 3201 1 1 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.870196871782 0.905661616412 11 11 12 12 0132 2310 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.767075748894 0.374229334677 ==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_1001_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_11'], 's_3_11' : d['1'], 's_0_11' : 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_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_5'], '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_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5']})} 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_2, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_1001_1, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 922851/178948*c_1100_0^23 + 18630426/44737*c_1100_0^22 - 399683047/89474*c_1100_0^21 + 2298849149/89474*c_1100_0^20 - 18246589477/178948*c_1100_0^19 + 27750559365/89474*c_1100_0^18 - 68283546271/89474*c_1100_0^17 + 6376410564/4067*c_1100_0^16 - 122737365246/44737*c_1100_0^15 + 370603916729/89474*c_1100_0^14 - 243320812652/44737*c_1100_0^13 + 558461657013/89474*c_1100_0^12 - 40097967297/6391*c_1100_0^11 + 5956900893/1078*c_1100_0^10 - 381206071993/89474*c_1100_0^9 + 256942795503/89474*c_1100_0^8 - 75662664526/44737*c_1100_0^7 + 39096274396/44737*c_1100_0^6 - 2558617827/6391*c_1100_0^5 + 7352713266/44737*c_1100_0^4 - 5471673821/89474*c_1100_0^3 + 857243188/44737*c_1100_0^2 - 173584739/44737*c_1100_0 + 54129524/44737, c_0011_0 - 1, c_0011_10 - c_1100_0^6 + 3*c_1100_0^5 - 5*c_1100_0^4 + 6*c_1100_0^3 - 5*c_1100_0^2 + 2*c_1100_0 - 1, c_0011_11 + c_1100_0^9 - 5*c_1100_0^8 + 13*c_1100_0^7 - 23*c_1100_0^6 + 30*c_1100_0^5 - 28*c_1100_0^4 + 19*c_1100_0^3 - 9*c_1100_0^2 + 2*c_1100_0, c_0011_2 + c_1100_0, c_0101_0 - 1, c_0101_11 + c_1100_0^13 - 7*c_1100_0^12 + 25*c_1100_0^11 - 61*c_1100_0^10 + 113*c_1100_0^9 - 165*c_1100_0^8 + 194*c_1100_0^7 - 186*c_1100_0^6 + 145*c_1100_0^5 - 91*c_1100_0^4 + 46*c_1100_0^3 - 18*c_1100_0^2 + 5*c_1100_0 - 1, c_0101_12 + c_1100_0^22 - 12*c_1100_0^21 + 73*c_1100_0^20 - 300*c_1100_0^19 + 934*c_1100_0^18 - 2336*c_1100_0^17 + 4856*c_1100_0^16 - 8572*c_1100_0^15 + 13030*c_1100_0^14 - 17208*c_1100_0^13 + 19850*c_1100_0^12 - 20052*c_1100_0^11 + 17741*c_1100_0^10 - 13720*c_1100_0^9 + 9239*c_1100_0^8 - 5388*c_1100_0^7 + 2706*c_1100_0^6 - 1168*c_1100_0^5 + 434*c_1100_0^4 - 140*c_1100_0^3 + 39*c_1100_0^2 - 8*c_1100_0 + 1, c_0101_2 - c_1100_0^2 + c_1100_0 - 1, c_0101_5 + c_1100_0^3 - c_1100_0^2 + c_1100_0 - 1, c_1001_1 - c_1100_0 + 1, c_1001_10 + c_1100_0^2 - c_1100_0 + 1, c_1001_11 + c_1100_0^4 - 2*c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0 + 1, c_1100_0^24 - 12*c_1100_0^23 + 74*c_1100_0^22 - 312*c_1100_0^21 + 1006*c_1100_0^20 - 2626*c_1100_0^19 + 5738*c_1100_0^18 - 10722*c_1100_0^17 + 17377*c_1100_0^16 - 24658*c_1100_0^15 + 30828*c_1100_0^14 - 34090*c_1100_0^13 + 33412*c_1100_0^12 - 29048*c_1100_0^11 + 22398*c_1100_0^10 - 15310*c_1100_0^9 + 9280*c_1100_0^8 - 4998*c_1100_0^7 + 2402*c_1100_0^6 - 1038*c_1100_0^5 + 402*c_1100_0^4 - 136*c_1100_0^3 + 40*c_1100_0^2 - 8*c_1100_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB