Magma V2.19-8 Wed Aug 21 2013 00:51:44 on localhost [Seed = 2681834207] Type ? for help. Type -D to quit. Loading file "L11n225__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n225 geometric_solution 11.99573494 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 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 1 -1 0 0 0 0 -7 6 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385499343810 0.798040180696 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 0 0 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 0 0 0 0 0 0 0 -1 7 0 -6 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551283274618 0.372064666526 8 0 4 9 0132 0132 2103 0132 0 0 1 1 0 0 0 0 1 0 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 -3 0 1 2 -1 1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315759554770 1.810840860397 10 8 6 0 0132 0132 0213 0132 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890217274664 0.688902222548 2 11 0 6 2103 0132 0132 2103 0 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 -1 1 0 -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 0.883344520216 0.949270947032 10 1 12 12 1023 0132 0132 3120 0 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 -1 0 0 1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934073573183 0.832615467248 11 3 1 4 2031 0213 0132 2103 0 0 0 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 1 0 0 -1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 8 12 9 1 3120 3120 0132 0132 0 0 1 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 -7 0 7 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841118040351 1.246273428634 2 3 9 7 0132 0132 0213 3120 0 0 1 1 0 0 0 0 -1 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 0 0 -1 0 1 3 0 -3 0 -6 6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385499343810 0.798040180696 12 8 2 7 2031 0213 0132 0132 0 0 0 1 0 0 0 0 -1 0 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 0 0 0 0 0 2 0 -2 0 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474641514418 0.564567431762 3 5 11 11 0132 1023 2031 2310 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 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 0.582649314312 0.455118494929 10 4 6 10 3201 0132 1302 1302 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 1 -1 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 1.094505328691 1.193551693976 5 7 9 5 3120 3120 1302 0132 0 1 1 0 0 -1 1 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 2 -2 0 -1 0 1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094505328691 1.193551693976 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : negation(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' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], 's_1_7' : d['1'], 's_1_6' : 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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_9']), '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_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], '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_0011_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_11, c_0011_12, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0110_4, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9549/2*c_1001_0^5 + 66389/2*c_1001_0^4 - 84069*c_1001_0^3 + 159987/2*c_1001_0^2 - 59243/2*c_1001_0 + 6371/2, c_0011_0 - 1, c_0011_11 + 4*c_1001_0^5 - 21*c_1001_0^4 + 28*c_1001_0^3 + 22*c_1001_0^2 - 25*c_1001_0 + 4, c_0011_12 - 7*c_1001_0^5 + 39*c_1001_0^4 - 60*c_1001_0^3 - 27*c_1001_0^2 + 58*c_1001_0 - 16, c_0011_6 - 9*c_1001_0^5 + 49*c_1001_0^4 - 72*c_1001_0^3 - 39*c_1001_0^2 + 68*c_1001_0 - 18, c_0011_7 - 3*c_1001_0^5 + 17*c_1001_0^4 - 27*c_1001_0^3 - 10*c_1001_0^2 + 26*c_1001_0 - 8, c_0011_9 + 5*c_1001_0^5 - 27*c_1001_0^4 + 39*c_1001_0^3 + 23*c_1001_0^2 - 36*c_1001_0 + 8, c_0101_0 - 1, c_0101_1 - 3*c_1001_0^5 + 16*c_1001_0^4 - 22*c_1001_0^3 - 16*c_1001_0^2 + 20*c_1001_0 - 3, c_0101_5 - 8*c_1001_0^5 + 44*c_1001_0^4 - 66*c_1001_0^3 - 33*c_1001_0^2 + 64*c_1001_0 - 17, c_0101_7 - 4*c_1001_0^5 + 22*c_1001_0^4 - 32*c_1001_0^3 - 18*c_1001_0^2 + 30*c_1001_0 - 7, c_0110_4 - 3*c_1001_0^5 + 17*c_1001_0^4 - 26*c_1001_0^3 - 13*c_1001_0^2 + 25*c_1001_0 - 6, c_0110_6 - 2*c_1001_0^5 + 10*c_1001_0^4 - 12*c_1001_0^3 - 12*c_1001_0^2 + 10*c_1001_0 - 1, c_1001_0^6 - 6*c_1001_0^5 + 11*c_1001_0^4 - 10*c_1001_0^2 + 6*c_1001_0 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0110_4, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5339/11744*c_1001_0^9 + 2106/367*c_1001_0^8 - 368467/23488*c_1001_0^7 + 20115/23488*c_1001_0^6 + 767709/23488*c_1001_0^5 - 306041/23488*c_1001_0^4 - 92335/5872*c_1001_0^3 + 82197/11744*c_1001_0^2 - 183515/23488*c_1001_0 - 22601/23488, c_0011_0 - 1, c_0011_11 - 192/367*c_1001_0^9 + 626/367*c_1001_0^8 + 362/367*c_1001_0^7 - 2219/367*c_1001_0^6 - 92/367*c_1001_0^5 + 2384/367*c_1001_0^4 - 44/367*c_1001_0^3 - 624/367*c_1001_0^2 + 75/367*c_1001_0 - 31/367, c_0011_12 - 308/367*c_1001_0^9 + 836/367*c_1001_0^8 + 596/367*c_1001_0^7 - 2084/367*c_1001_0^6 - 851/367*c_1001_0^5 + 1867/367*c_1001_0^4 - 40/367*c_1001_0^3 - 1001/367*c_1001_0^2 - 132/367*c_1001_0 + 172/367, c_0011_6 - 74/367*c_1001_0^9 + 96/367*c_1001_0^8 + 453/367*c_1001_0^7 - 515/367*c_1001_0^6 - 326/367*c_1001_0^5 + 246/367*c_1001_0^4 - 858/367*c_1001_0^3 - 57/367*c_1001_0^2 + 545/367*c_1001_0 - 421/367, c_0011_7 - 542/367*c_1001_0^9 + 1576/367*c_1001_0^8 + 739/367*c_1001_0^7 - 3653/367*c_1001_0^6 - 642/367*c_1001_0^5 + 2020/367*c_1001_0^4 - 323/367*c_1001_0^3 - 110/367*c_1001_0^2 - 75/367*c_1001_0 + 31/367, c_0011_9 - 12/367*c_1001_0^9 - 282/367*c_1001_0^8 + 986/367*c_1001_0^7 + 343/367*c_1001_0^6 - 2483/367*c_1001_0^5 - 218/367*c_1001_0^4 + 1557/367*c_1001_0^3 - 39/367*c_1001_0^2 - 110/367*c_1001_0 + 21/367, c_0101_0 - 1, c_0101_1 - 50/367*c_1001_0^9 - 74/367*c_1001_0^8 + 683/367*c_1001_0^7 - 100/367*c_1001_0^6 - 1232/367*c_1001_0^5 - 52/367*c_1001_0^4 + 432/367*c_1001_0^3 - 346/367*c_1001_0^2 + 31/367*c_1001_0 + 271/367, c_0101_5 - 124/367*c_1001_0^9 + 389/367*c_1001_0^8 + 35/367*c_1001_0^7 - 1597/734*c_1001_0^6 + 277/367*c_1001_0^5 + 755/734*c_1001_0^4 - 793/367*c_1001_0^3 - 36/367*c_1001_0^2 + 576/367*c_1001_0 + 67/734, c_0101_7 - 416/367*c_1001_0^9 + 1234/367*c_1001_0^8 + 662/367*c_1001_0^7 - 3401/367*c_1001_0^6 - 444/367*c_1001_0^5 + 2841/367*c_1001_0^4 - 340/367*c_1001_0^3 - 618/367*c_1001_0^2 + 346/367*c_1001_0 - 6/367, c_0110_4 - 308/367*c_1001_0^9 + 836/367*c_1001_0^8 + 596/367*c_1001_0^7 - 2084/367*c_1001_0^6 - 851/367*c_1001_0^5 + 1867/367*c_1001_0^4 - 40/367*c_1001_0^3 - 1001/367*c_1001_0^2 + 235/367*c_1001_0 + 172/367, c_0110_6 + 416/367*c_1001_0^9 - 1234/367*c_1001_0^8 - 662/367*c_1001_0^7 + 3401/367*c_1001_0^6 + 444/367*c_1001_0^5 - 2841/367*c_1001_0^4 + 340/367*c_1001_0^3 + 618/367*c_1001_0^2 - 346/367*c_1001_0 + 6/367, c_1001_0^10 - 3*c_1001_0^9 - 3/2*c_1001_0^8 + 8*c_1001_0^7 + c_1001_0^6 - 6*c_1001_0^5 + 1/2*c_1001_0^4 + c_1001_0^3 - 1/2*c_1001_0^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB