Magma V2.19-8 Tue Aug 20 2013 17:56:17 on localhost [Seed = 1360061793] Type ? for help. Type -D to quit. Loading file "10^2_172__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_172 geometric_solution 11.21124683 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 0 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 -1 0 1 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 0.647584532424 1.413978605968 0 0 4 3 0132 1230 0132 1230 0 0 1 1 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 0 0 0 0 0 0 0 -1 1 0 1 0 -1 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 0.165957207631 0.665861639703 5 0 4 5 0132 0132 3012 2031 1 0 1 1 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 0 0 0 0 0 -1 1 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389568860181 0.608685051675 1 4 0 6 3012 3012 0132 0132 1 0 0 1 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 0 -1 1 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 0.462184428405 0.271558810437 3 2 7 1 1230 1230 0132 0132 0 0 1 1 0 1 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 1 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 0.122664883044 1.080001763637 2 2 8 6 0132 1302 0132 2103 0 0 1 1 0 -1 1 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 0 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254073020868 1.165479709102 7 9 3 5 2031 0132 0132 2103 1 0 0 0 0 0 0 0 0 0 1 -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 -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 0.422253185242 0.676546482381 10 9 6 4 0132 3201 1302 0132 0 0 1 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 -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 0.935291076002 0.501459981063 11 11 9 5 0132 1230 1302 0132 0 0 1 0 0 0 1 -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 0 1 -1 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 0.408152955684 1.016784299898 8 6 7 10 2031 0132 2310 3012 1 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 -1 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 0 0 0.791683100126 0.662667402056 7 11 9 11 0132 2103 1230 0213 0 0 0 1 0 1 -1 0 1 0 0 -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 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 0.659996963238 0.847010281031 8 10 8 10 0132 2103 3012 0213 0 0 0 1 0 1 -1 0 1 0 0 -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 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 0.659996963238 0.847010281031 ==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_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : d['c_0110_9'], 'c_1010_11' : d['c_0110_9'], 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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_10'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : negation(d['c_1001_4']), 'c_1010_5' : d['c_1001_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_11'], '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'], '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_6']), 'c_0011_8' : negation(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_10']), 'c_0110_6' : negation(d['c_0101_9']), '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_6'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_6, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_0110_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2416475/192384*c_1001_4^12 + 895753/16032*c_1001_4^11 - 13205099/96192*c_1001_4^10 + 18398933/96192*c_1001_4^9 + 3791527/96192*c_1001_4^8 - 5803669/8016*c_1001_4^7 + 29442779/16032*c_1001_4^6 - 4071998/1503*c_1001_4^5 + 117662855/48096*c_1001_4^4 - 14072125/8016*c_1001_4^3 + 1701317/2004*c_1001_4^2 - 4226755/24048*c_1001_4 + 60019/24048, c_0011_0 - 1, c_0011_10 - 1459/2672*c_1001_4^12 + 3225/1336*c_1001_4^11 - 16639/2672*c_1001_4^10 + 3137/334*c_1001_4^9 - 275/334*c_1001_4^8 - 4716/167*c_1001_4^7 + 27403/334*c_1001_4^6 - 88387/668*c_1001_4^5 + 23357/167*c_1001_4^4 - 40105/334*c_1001_4^3 + 45841/668*c_1001_4^2 - 10477/334*c_1001_4 + 1199/167, c_0011_3 - 1, c_0011_4 + 2539/2672*c_1001_4^12 - 5653/1336*c_1001_4^11 + 29219/2672*c_1001_4^10 - 2777/167*c_1001_4^9 + 1245/668*c_1001_4^8 + 32745/668*c_1001_4^7 - 96017/668*c_1001_4^6 + 156445/668*c_1001_4^5 - 41745/167*c_1001_4^4 + 72527/334*c_1001_4^3 - 84491/668*c_1001_4^2 + 18571/334*c_1001_4 - 2163/167, c_0011_6 + 575/1336*c_1001_4^12 - 4979/2672*c_1001_4^11 + 12715/2672*c_1001_4^10 - 1184/167*c_1001_4^9 + 475/1336*c_1001_4^8 + 14507/668*c_1001_4^7 - 41725/668*c_1001_4^6 + 33493/334*c_1001_4^5 - 70829/668*c_1001_4^4 + 61971/668*c_1001_4^3 - 35975/668*c_1001_4^2 + 7997/334*c_1001_4 - 1787/334, c_0101_10 + 385/1336*c_1001_4^12 - 3357/2672*c_1001_4^11 + 8499/2672*c_1001_4^10 - 3097/668*c_1001_4^9 - 53/334*c_1001_4^8 + 5113/334*c_1001_4^7 - 28199/668*c_1001_4^6 + 43819/668*c_1001_4^5 - 43861/668*c_1001_4^4 + 35865/668*c_1001_4^3 - 18671/668*c_1001_4^2 + 1888/167*c_1001_4 - 310/167, c_0101_11 + 385/1336*c_1001_4^12 - 3357/2672*c_1001_4^11 + 8499/2672*c_1001_4^10 - 3097/668*c_1001_4^9 - 53/334*c_1001_4^8 + 5113/334*c_1001_4^7 - 28199/668*c_1001_4^6 + 43819/668*c_1001_4^5 - 43861/668*c_1001_4^4 + 35865/668*c_1001_4^3 - 18671/668*c_1001_4^2 + 1888/167*c_1001_4 - 310/167, c_0101_2 + 2539/2672*c_1001_4^12 - 5653/1336*c_1001_4^11 + 29219/2672*c_1001_4^10 - 2777/167*c_1001_4^9 + 1245/668*c_1001_4^8 + 32745/668*c_1001_4^7 - 96017/668*c_1001_4^6 + 156445/668*c_1001_4^5 - 41745/167*c_1001_4^4 + 72527/334*c_1001_4^3 - 84491/668*c_1001_4^2 + 18571/334*c_1001_4 - 2330/167, c_0101_6 + 2539/2672*c_1001_4^12 - 5653/1336*c_1001_4^11 + 29219/2672*c_1001_4^10 - 2777/167*c_1001_4^9 + 1245/668*c_1001_4^8 + 32745/668*c_1001_4^7 - 96017/668*c_1001_4^6 + 156445/668*c_1001_4^5 - 41745/167*c_1001_4^4 + 72527/334*c_1001_4^3 - 84491/668*c_1001_4^2 + 18571/334*c_1001_4 - 2163/167, c_0101_9 + 1131/1336*c_1001_4^12 - 5115/1336*c_1001_4^11 + 6703/668*c_1001_4^10 - 10427/668*c_1001_4^9 + 488/167*c_1001_4^8 + 14485/334*c_1001_4^7 - 87909/668*c_1001_4^6 + 146535/668*c_1001_4^5 - 40101/167*c_1001_4^4 + 70669/334*c_1001_4^3 - 21112/167*c_1001_4^2 + 19129/334*c_1001_4 - 2405/167, c_0110_9 - 445/1336*c_1001_4^12 + 4379/2672*c_1001_4^11 - 11975/2672*c_1001_4^10 + 4933/668*c_1001_4^9 - 3635/1336*c_1001_4^8 - 11991/668*c_1001_4^7 + 39291/668*c_1001_4^6 - 68749/668*c_1001_4^5 + 78271/668*c_1001_4^4 - 68157/668*c_1001_4^3 + 42189/668*c_1001_4^2 - 4620/167*c_1001_4 + 2597/334, c_1001_4^13 - 5*c_1001_4^12 + 14*c_1001_4^11 - 24*c_1001_4^10 + 12*c_1001_4^9 + 50*c_1001_4^8 - 180*c_1001_4^7 + 332*c_1001_4^6 - 404*c_1001_4^5 + 380*c_1001_4^4 - 264*c_1001_4^3 + 136*c_1001_4^2 - 48*c_1001_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB