Magma V2.19-8 Wed Aug 21 2013 01:13:59 on localhost [Seed = 879897229] Type ? for help. Type -D to quit. Loading file "L14n97__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n97 geometric_solution 12.17755534 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 0 0 0 1 0 -1 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 9 0 -9 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 0.359595410324 0.838206191895 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 0 9 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 0.567741233708 1.007582310576 5 0 5 4 0132 0132 3012 3120 1 1 1 0 0 0 0 0 -1 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 0 0 0 0 -8 0 8 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 0.575537145557 0.753303156862 6 7 8 0 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 -9 9 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049748914643 1.017025255916 2 7 1 9 3120 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763777359777 0.867107897279 2 2 6 1 0132 1230 1023 0132 1 1 0 1 0 -1 1 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 -8 8 0 8 0 1 -9 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567741233708 1.007582310576 3 9 5 10 0132 1023 1023 0132 1 1 1 1 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 -1 1 0 0 -8 8 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467052991687 0.328567954060 10 3 4 8 1230 0132 3012 0132 1 1 1 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 0 0 0 0 8 0 0 -8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676517559493 0.407550989424 11 12 7 3 0132 0132 0132 0132 1 1 1 1 0 0 0 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 1 0 -1 -9 0 0 9 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.108933416110 1.334445548736 6 12 4 12 1023 3201 0132 2103 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609563901940 0.592260242645 11 7 6 12 2103 3012 0132 1230 1 1 1 1 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 1 -1 0 0 0 -8 8 0 0 0 0 9 -8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620476772208 1.440603565833 8 11 10 11 0132 1302 2103 2031 1 1 1 1 0 1 0 -1 1 0 0 -1 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 9 0 -9 9 0 0 -9 0 9 0 -9 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322602046733 0.646860840711 10 8 9 9 3012 0132 2310 2103 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 -1 1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775887057092 1.176958429256 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0101_12'], '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_10'], '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' : 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' : negation(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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0110_12']), 'c_1100_4' : negation(d['c_0110_12']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0110_12'], 'c_1100_1' : negation(d['c_0110_12']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_12']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0110_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_1001_12'], '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' : 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' : negation(d['c_0011_3']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], '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_5'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1001_4'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0110_12, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5433196544/11767*c_1001_4^7 + 6414008320/11767*c_1001_4^6 + 415301632/11767*c_1001_4^5 - 137216000/287*c_1001_4^4 - 379920384/1681*c_1001_4^3 + 409059328/11767*c_1001_4^2 + 730793984/11767*c_1001_4 - 62156800/11767, c_0011_0 - 1, c_0011_10 + 32*c_1001_4^6 + 64*c_1001_4^5 + 48*c_1001_4^4 + 8*c_1001_4^3 - 6*c_1001_4^2 - 2*c_1001_4, c_0011_11 - 4*c_1001_4^3 - 4*c_1001_4^2 - c_1001_4, c_0011_3 + 64*c_1001_4^7 + 160*c_1001_4^6 + 160*c_1001_4^5 + 56*c_1001_4^4 - 16*c_1001_4^3 - 16*c_1001_4^2 - 2*c_1001_4 + 1/2, c_0011_4 + c_1001_4 + 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 64*c_1001_4^7 + 160*c_1001_4^6 + 160*c_1001_4^5 + 56*c_1001_4^4 - 16*c_1001_4^3 - 16*c_1001_4^2 - 2*c_1001_4 + 1/2, c_0101_12 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_0101_5 + c_1001_4, c_0110_12 + c_1001_4 + 1, c_1001_12 + 64*c_1001_4^7 + 128*c_1001_4^6 + 112*c_1001_4^5 + 32*c_1001_4^4 - 8*c_1001_4^3 - 8*c_1001_4^2 - c_1001_4, c_1001_4^8 + 5/2*c_1001_4^7 + 11/4*c_1001_4^6 + 5/4*c_1001_4^5 - 1/16*c_1001_4^4 - 5/16*c_1001_4^3 - 3/32*c_1001_4^2 + 1/256 ], 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0110_12, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2436967939/24960*c_1001_4^10 + 6531870349/9984*c_1001_4^9 + 43738006997/19968*c_1001_4^8 + 473800444601/99840*c_1001_4^7 + 581336960873/79872*c_1001_4^6 + 1093214518797/133120*c_1001_4^5 + 5494143968783/798720*c_1001_4^4 + 421483720981/99840*c_1001_4^3 + 11629910231171/6389760*c_1001_4^2 + 79968908717/159744*c_1001_4 + 6776035243/99840, c_0011_0 - 1, c_0011_10 - 168*c_1001_4^10 - 1196*c_1001_4^9 - 4182*c_1001_4^8 - 9354*c_1001_4^7 - 29363/2*c_1001_4^6 - 33599/2*c_1001_4^5 - 56541/4*c_1001_4^4 - 17225/2*c_1001_4^3 - 116181/32*c_1001_4^2 - 15285/16*c_1001_4 - 119, c_0011_11 + 8*c_1001_4^10 + 60*c_1001_4^9 + 222*c_1001_4^8 + 530*c_1001_4^7 + 1799/2*c_1001_4^6 + 2267/2*c_1001_4^5 + 4313/4*c_1001_4^4 + 1537/2*c_1001_4^3 + 12673/32*c_1001_4^2 + 2149/16*c_1001_4 + 47/2, c_0011_3 + 32*c_1001_4^10 + 112*c_1001_4^9 + 56*c_1001_4^8 - 536*c_1001_4^7 - 1810*c_1001_4^6 - 3138*c_1001_4^5 - 3535*c_1001_4^4 - 2714*c_1001_4^3 - 11167/8*c_1001_4^2 - 1765/4*c_1001_4 - 66, c_0011_4 - c_1001_4 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 296*c_1001_4^10 - 2156*c_1001_4^9 - 7606*c_1001_4^8 - 17066*c_1001_4^7 - 53603/2*c_1001_4^6 - 61295/2*c_1001_4^5 - 103085/4*c_1001_4^4 - 31417/2*c_1001_4^3 - 212517/32*c_1001_4^2 - 28165/16*c_1001_4 - 223, c_0101_12 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_0101_5 + c_1001_4, c_0110_12 - c_1001_4 - 1, c_1001_12 + 104*c_1001_4^10 + 716*c_1001_4^9 + 2406*c_1001_4^8 + 5178*c_1001_4^7 + 15675/2*c_1001_4^6 + 17351/2*c_1001_4^5 + 28373/4*c_1001_4^4 + 8449/2*c_1001_4^3 + 56205/32*c_1001_4^2 + 7389/16*c_1001_4 + 59, c_1001_4^11 + 15/2*c_1001_4^10 + 111/4*c_1001_4^9 + 265/4*c_1001_4^8 + 1799/16*c_1001_4^7 + 2267/16*c_1001_4^6 + 4313/32*c_1001_4^5 + 1545/16*c_1001_4^4 + 13057/256*c_1001_4^3 + 2421/128*c_1001_4^2 + 71/16*c_1001_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB