Magma V2.19-8 Wed Aug 21 2013 01:11:41 on localhost [Seed = 3583232992] Type ? for help. Type -D to quit. Loading file "L14n57881__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57881 geometric_solution 12.35381864 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 1 1 1 1 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 -3 4 -1 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396770835382 0.797075205179 0 4 4 0 0132 0132 3201 3201 1 1 1 1 0 -1 0 1 0 0 0 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 -3 0 3 0 0 0 0 -3 0 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500495544824 1.005448368445 5 6 7 0 0132 0132 0132 0132 1 1 1 2 0 1 0 -1 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 4 0 -4 4 0 -4 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137953700089 0.823892447281 8 9 0 9 0132 0132 0132 3120 1 1 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 0 0 0 0 1 -1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644002742637 0.812409571488 1 1 6 10 2310 0132 3120 0132 1 1 1 1 0 1 0 -1 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 3 0 -3 3 0 0 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396770835382 0.797075205179 2 7 9 6 0132 3120 1230 3120 1 1 2 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 0 0 0 -4 0 4 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606254030466 0.579421449737 5 2 4 7 3120 0132 3120 3120 1 1 2 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 -4 0 4 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 0.423452326093 0.417427593049 6 5 11 2 3120 3120 0132 0132 1 1 2 1 0 0 0 0 0 0 -1 1 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 -4 4 -1 -3 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606254030466 0.579421449737 3 12 10 10 0132 0132 2031 2310 0 1 1 1 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 -1 0 1 0 0 3 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400787685411 0.755906438741 3 3 12 5 3120 0132 2103 3012 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 4 0 0 -4 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452494772593 1.032623360713 8 11 4 8 3201 2031 0132 1302 1 1 0 1 0 0 1 -1 -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 0 3 -3 -3 0 3 0 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644002742637 0.812409571488 10 12 12 7 1302 2310 3120 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -4 4 0 4 0 -4 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644002742637 0.812409571488 9 8 11 11 2103 0132 3120 3201 0 1 1 1 0 0 1 -1 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 -2 0 0 4 -4 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400787685411 0.755906438741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : d['c_0110_12'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0110_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : 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_10']), 'c_0101_10' : negation(d['c_0101_1']), '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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_12']), 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_2'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0110_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(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_12'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_2, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_10, c_0110_12, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 8737947623480/26548778009*c_1001_0^8 + 3348409869876/26548778009*c_1001_0^7 - 27805028140/435225869*c_1001_0^6 + 365714445279/2042213693*c_1001_0^5 + 11363837104545/53097556018*c_1001_0^4 + 4231746753136/26548778009*c_1001_0^3 + 39668793847637/212390224072*c_1001_0^2 + 49894487408275/424780448144*c_1001_0 + 21247301291825/849560896288, c_0011_0 - 1, c_0011_10 - 3075328/2575301*c_1001_0^8 - 2291392/2575301*c_1001_0^7 - 1257888/2575301*c_1001_0^6 + 2627232/2575301*c_1001_0^5 - 2095600/2575301*c_1001_0^4 - 5968988/2575301*c_1001_0^3 - 104412/2575301*c_1001_0^2 - 2131637/2575301*c_1001_0 + 1253435/2575301, c_0011_12 - 1033600/2575301*c_1001_0^8 - 3754240/2575301*c_1001_0^7 - 2446480/2575301*c_1001_0^6 - 852592/2575301*c_1001_0^5 - 1602984/2575301*c_1001_0^4 - 1516936/2575301*c_1001_0^3 - 1558235/2575301*c_1001_0^2 - 284663/5150602*c_1001_0 - 1763841/5150602, c_0011_2 - 1, c_0101_0 + 491840/2575301*c_1001_0^8 - 1530336/2575301*c_1001_0^7 + 1993360/2575301*c_1001_0^6 + 418464/2575301*c_1001_0^5 - 614964/2575301*c_1001_0^4 + 2769320/2575301*c_1001_0^3 - 3097544/2575301*c_1001_0^2 + 2829557/5150602*c_1001_0 + 1296183/5150602, c_0101_1 + 15542528/2575301*c_1001_0^8 + 1139584/2575301*c_1001_0^7 + 1171104/2575301*c_1001_0^6 + 16076224/2575301*c_1001_0^5 - 1978264/2575301*c_1001_0^4 + 15846588/2575301*c_1001_0^3 + 8933382/2575301*c_1001_0^2 + 4422489/2575301*c_1001_0 + 5628904/2575301, c_0101_12 - 13263360/2575301*c_1001_0^8 + 2342208/2575301*c_1001_0^7 - 2818240/2575301*c_1001_0^6 - 13670608/2575301*c_1001_0^5 + 6436568/2575301*c_1001_0^4 - 14675404/2575301*c_1001_0^3 - 4511882/2575301*c_1001_0^2 - 2949034/2575301*c_1001_0 - 4831685/2575301, c_0101_2 + 17557376/2575301*c_1001_0^8 - 3992832/2575301*c_1001_0^7 + 811872/2575301*c_1001_0^6 + 18927168/2575301*c_1001_0^5 - 7765464/2575301*c_1001_0^4 + 20086972/2575301*c_1001_0^3 + 6474294/2575301*c_1001_0^2 - 65241/2575301*c_1001_0 + 6490014/2575301, c_0101_4 - 491840/2575301*c_1001_0^8 + 1530336/2575301*c_1001_0^7 - 1993360/2575301*c_1001_0^6 - 418464/2575301*c_1001_0^5 + 614964/2575301*c_1001_0^4 - 2769320/2575301*c_1001_0^3 + 3097544/2575301*c_1001_0^2 - 2829557/5150602*c_1001_0 - 1296183/5150602, c_0101_6 - 13263360/2575301*c_1001_0^8 + 2342208/2575301*c_1001_0^7 - 2818240/2575301*c_1001_0^6 - 13670608/2575301*c_1001_0^5 + 6436568/2575301*c_1001_0^4 - 14675404/2575301*c_1001_0^3 - 4511882/2575301*c_1001_0^2 - 2949034/2575301*c_1001_0 - 4831685/2575301, c_0110_10 + 1, c_0110_12 - 15542528/2575301*c_1001_0^8 - 1139584/2575301*c_1001_0^7 - 1171104/2575301*c_1001_0^6 - 16076224/2575301*c_1001_0^5 + 1978264/2575301*c_1001_0^4 - 15846588/2575301*c_1001_0^3 - 8933382/2575301*c_1001_0^2 - 4422489/2575301*c_1001_0 - 5628904/2575301, c_1001_0^9 + 1/2*c_1001_0^8 + 9/8*c_1001_0^6 + 5/16*c_1001_0^5 + 13/16*c_1001_0^4 + 67/64*c_1001_0^3 + 55/128*c_1001_0^2 + 117/256*c_1001_0 + 61/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB