Magma V2.19-8 Wed Aug 21 2013 01:10:39 on localhost [Seed = 1595492006] Type ? for help. Type -D to quit. Loading file "L14n54174__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n54174 geometric_solution 12.62408993 oriented_manifold CS_known -0.0000000000000009 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2103 0132 0132 2 0 2 2 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 1 0 -1 1 0 -2 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646102903027 0.850677243093 0 0 5 4 0132 2103 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 0 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 0 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646102903027 0.850677243093 6 6 4 0 0132 3201 3201 0132 2 0 2 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266022369047 0.876638027731 5 7 0 8 2310 0132 0132 0132 2 0 0 2 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 -9 1 8 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 0.860198984875 0.856107824307 2 9 1 10 2310 0132 0132 0132 2 0 0 2 0 1 0 -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 9 -1 -8 0 0 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860198984875 0.856107824307 6 6 3 1 3201 0132 3201 0132 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266022369047 0.876638027731 2 5 2 5 0132 0132 2310 2310 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316971728791 1.044534232854 11 3 9 9 0132 0132 1023 2103 2 2 2 0 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 9 -9 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 10 12 3 12 0321 0132 0132 1230 2 0 1 0 0 0 -1 1 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 -8 8 2 0 -1 -1 1 2 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 12 4 7 7 3012 0132 1023 2103 2 2 2 0 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 -9 9 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 8 11 4 11 0321 1302 0132 3201 2 0 1 0 0 -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 -8 8 0 1 0 -1 0 -1 1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 7 10 12 10 0132 2310 3120 2031 1 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590938917178 0.659161378725 8 8 11 9 3012 0132 3120 1230 2 2 0 1 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 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679701394436 1.095271408335 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_1001_3']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0011_10'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0101_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : 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' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_4']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0101_10']), 's_2_9' : d['1']})} 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_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_9, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 17640169/289198*c_1001_3^9 - 57958757/144599*c_1001_3^8 - 30834355/20657*c_1001_3^7 - 944763763/289198*c_1001_3^6 - 56312630/11123*c_1001_3^5 - 740079761/144599*c_1001_3^4 - 73798479/20657*c_1001_3^3 - 1442282/11123*c_1001_3^2 - 57502649/289198*c_1001_3 + 73543139/289198, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + c_1001_3 + 1, c_0011_2 + 12489/2951*c_1001_3^9 + 91398/2951*c_1001_3^8 + 366576/2951*c_1001_3^7 + 892652/2951*c_1001_3^6 + 116433/227*c_1001_3^5 + 1753322/2951*c_1001_3^4 + 1382390/2951*c_1001_3^3 + 30572/227*c_1001_3^2 - 83431/2951*c_1001_3 - 80507/2951, c_0011_4 - c_1001_3 - 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 16464/2951*c_1001_3^9 - 120771/2951*c_1001_3^8 - 484910/2951*c_1001_3^7 - 1182359/2951*c_1001_3^6 - 154274/227*c_1001_3^5 - 2323927/2951*c_1001_3^4 - 1829782/2951*c_1001_3^3 - 40486/227*c_1001_3^2 + 113982/2951*c_1001_3 + 102534/2951, c_0101_11 - 5773/2951*c_1001_3^9 - 42118/2951*c_1001_3^8 - 168291/2951*c_1001_3^7 - 407805/2951*c_1001_3^6 - 52904/227*c_1001_3^5 - 791593/2951*c_1001_3^4 - 618957/2951*c_1001_3^3 - 13080/227*c_1001_3^2 + 42033/2951*c_1001_3 + 36225/2951, c_0101_12 + 18795/5902*c_1001_3^9 + 137949/5902*c_1001_3^8 + 553873/5902*c_1001_3^7 + 675273/2951*c_1001_3^6 + 88066/227*c_1001_3^5 + 2652113/5902*c_1001_3^4 + 2084547/5902*c_1001_3^3 + 22836/227*c_1001_3^2 - 146147/5902*c_1001_3 - 62760/2951, c_0101_7 + 5523/2951*c_1001_3^9 + 40382/2951*c_1001_3^8 + 161591/2951*c_1001_3^7 + 392090/2951*c_1001_3^6 + 50851/227*c_1001_3^5 + 759622/2951*c_1001_3^4 + 592174/2951*c_1001_3^3 + 12535/227*c_1001_3^2 - 42580/2951*c_1001_3 - 35879/2951, c_0101_9 - 5523/2951*c_1001_3^9 - 40382/2951*c_1001_3^8 - 161591/2951*c_1001_3^7 - 392090/2951*c_1001_3^6 - 50851/227*c_1001_3^5 - 759622/2951*c_1001_3^4 - 592174/2951*c_1001_3^3 - 12535/227*c_1001_3^2 + 42580/2951*c_1001_3 + 35879/2951, c_1001_3^10 + 7*c_1001_3^9 + 27*c_1001_3^8 + 62*c_1001_3^7 + 98*c_1001_3^6 + 101*c_1001_3^5 + 65*c_1001_3^4 - 4*c_1001_3^3 - 17*c_1001_3^2 - 4*c_1001_3 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB