Magma V2.19-8 Tue Aug 20 2013 23:58:01 on localhost [Seed = 1343633658] Type ? for help. Type -D to quit. Loading file "L14n38571__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38571 geometric_solution 11.76037101 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 1 0 -1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 -1 -5 1 0 -1 0 -6 0 0 6 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572077434785 0.780108972171 0 2 5 4 0132 1230 0132 1230 0 0 1 1 0 0 0 0 0 0 0 0 -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 0 0 0 -1 0 1 0 -5 5 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570135755621 0.517493160554 5 0 1 6 0132 0132 3012 0132 1 0 1 1 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 -6 6 0 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 5 7 8 0 2031 0132 0132 0132 1 0 1 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 -1 1 0 0 -1 1 -6 1 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456218123725 0.648038421044 1 5 0 6 3012 2103 0132 0213 1 0 0 1 0 -1 1 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 -5 5 0 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 0.416045807708 1.236198733819 2 4 3 1 0132 2103 1302 0132 0 0 1 1 0 0 0 0 0 0 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 1 -1 -5 5 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755451507355 0.726628009138 9 10 2 4 0132 0132 0132 0213 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 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 0.273640694788 1.031762467955 9 3 11 10 3012 0132 0132 2310 1 0 0 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 0 0 0 0 5 -5 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416045807708 1.236198733819 9 11 10 3 2310 2031 0321 0132 1 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 0 0 0 0 -1 0 1 -6 0 5 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 0.572077434785 0.780108972171 6 11 8 7 0132 3201 3201 1230 0 0 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 7 6 8 11 3201 0132 0321 0321 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312410323303 0.661355378893 8 10 9 7 1302 0321 2310 0132 1 0 1 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 -1 0 6 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038320054030 0.872884729250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_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_0101_7'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_4'], 'c_1100_9' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0101_3'])})} 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_11, c_0011_3, c_0011_4, c_0011_8, c_0101_1, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 5/8*c_1001_10^4 + 1/8*c_1001_10^3 + 5/8*c_1001_10^2 - 31/8*c_1001_10 - 9/4, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1, c_0011_3 - c_1001_10, c_0011_4 - 1, c_0011_8 + 1/4*c_1001_10^4 + 1/2*c_1001_10^3 - 1/4*c_1001_10^2 - 1, c_0101_1 - 1/2*c_1001_10^3 - 1/2*c_1001_10 + 1, c_0101_3 + 1/2*c_1001_10^3 - 1/2*c_1001_10 - 1, c_0101_7 + 1/2*c_1001_10^3 + 1/2*c_1001_10 - 1, c_1001_0 - 1/2*c_1001_10^4 - 1/2*c_1001_10^3 - 3/2*c_1001_10^2 + 1/2*c_1001_10, c_1001_1 - 1, c_1001_10^5 + c_1001_10^4 + 3*c_1001_10^3 - 3*c_1001_10^2 - 2*c_1001_10 - 4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_8, c_0101_1, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 143380835/210824*c_1001_10^9 - 56926365/210824*c_1001_10^8 + 586863999/210824*c_1001_10^7 - 17214251/5548*c_1001_10^6 - 751959949/105412*c_1001_10^5 + 3101291629/210824*c_1001_10^4 + 15871817/1387*c_1001_10^3 - 453593427/105412*c_1001_10^2 - 702889245/52706*c_1001_10 - 138551509/26353, c_0011_0 - 1, c_0011_10 - 3207/105412*c_1001_10^9 - 1281/105412*c_1001_10^8 - 11121/105412*c_1001_10^7 + 13/1387*c_1001_10^6 + 22225/52706*c_1001_10^5 - 61909/105412*c_1001_10^4 - 3905/2774*c_1001_10^3 + 38327/52706*c_1001_10^2 + 33946/26353*c_1001_10 + 19682/26353, c_0011_11 - 3207/105412*c_1001_10^9 - 1281/105412*c_1001_10^8 - 11121/105412*c_1001_10^7 + 13/1387*c_1001_10^6 + 22225/52706*c_1001_10^5 - 61909/105412*c_1001_10^4 - 3905/2774*c_1001_10^3 + 38327/52706*c_1001_10^2 + 33946/26353*c_1001_10 + 19682/26353, c_0011_3 - c_1001_10, c_0011_4 - 1, c_0011_8 - 5277/52706*c_1001_10^9 + 1325/26353*c_1001_10^8 - 10715/26353*c_1001_10^7 + 650/1387*c_1001_10^6 + 27178/26353*c_1001_10^5 - 68573/26353*c_1001_10^4 - 1922/1387*c_1001_10^3 + 36965/52706*c_1001_10^2 + 38448/26353*c_1001_10 + 13200/26353, c_0101_1 + 383/52706*c_1001_10^9 - 2115/52706*c_1001_10^8 + 1342/26353*c_1001_10^7 - 645/2774*c_1001_10^6 + 11611/52706*c_1001_10^5 + 13195/52706*c_1001_10^4 - 188/1387*c_1001_10^3 - 32237/52706*c_1001_10^2 - 21338/26353*c_1001_10 + 13829/26353, c_0101_3 - 383/52706*c_1001_10^9 + 2115/52706*c_1001_10^8 - 1342/26353*c_1001_10^7 + 645/2774*c_1001_10^6 - 11611/52706*c_1001_10^5 - 13195/52706*c_1001_10^4 + 188/1387*c_1001_10^3 + 32237/52706*c_1001_10^2 - 5015/26353*c_1001_10 - 13829/26353, c_0101_7 + 11199/105412*c_1001_10^9 - 605/105412*c_1001_10^8 + 36715/105412*c_1001_10^7 - 506/1387*c_1001_10^6 - 83971/52706*c_1001_10^5 + 199771/105412*c_1001_10^4 + 9347/2774*c_1001_10^3 - 31384/26353*c_1001_10^2 - 85039/26353*c_1001_10 - 39296/26353, c_1001_0 - 6671/105412*c_1001_10^9 - 3207/105412*c_1001_10^8 - 27965/105412*c_1001_10^7 + 117/1387*c_1001_10^6 + 20260/26353*c_1001_10^5 - 68957/105412*c_1001_10^4 - 3009/1387*c_1001_10^3 - 40433/26353*c_1001_10^2 + 29501/26353*c_1001_10 + 34277/26353, c_1001_1 - 1, c_1001_10^10 + 4*c_1001_10^8 - 3*c_1001_10^7 - 12*c_1001_10^6 + 17*c_1001_10^5 + 25*c_1001_10^4 + 2*c_1001_10^3 - 22*c_1001_10^2 - 16*c_1001_10 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB