Magma V2.19-8 Wed Aug 21 2013 00:56:15 on localhost [Seed = 981213213] Type ? for help. Type -D to quit. Loading file "L13n138__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n138 geometric_solution 11.73921378 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 -1 1 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455501820797 0.559234816041 0 5 6 5 0132 0132 0132 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680770666072 0.638817087845 3 0 7 7 0321 0132 2103 0132 1 0 1 1 0 0 0 0 1 0 -1 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 1 0 -1 -1 0 1 0 0 -7 0 7 8 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562207320566 0.537492711048 2 8 8 0 0321 0132 1302 0132 1 1 1 0 0 0 0 0 1 0 -1 0 0 1 0 -1 -1 -1 2 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 -8 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088996358407 1.118469632083 9 9 0 10 0132 3201 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 -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 0.541540528147 1.427672049574 1 1 11 11 3012 0132 0132 3012 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 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 0.625946449803 1.252595691287 9 12 9 1 3120 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863499803955 0.314038125755 2 10 2 8 2103 2031 0132 0213 1 0 1 1 0 0 0 0 1 0 0 -1 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 -1 1 0 -1 0 0 1 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070694046570 0.888453703874 3 3 10 7 2031 0132 2031 0213 1 1 0 1 0 0 0 0 0 0 0 0 -2 1 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 0 0 0 1 0 0 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070694046570 0.888453703874 4 6 4 6 0132 0213 2310 3120 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 -0.178413086142 0.438661030489 7 12 4 8 1302 2310 0132 1302 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 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 0 0 0 0 0.455501820797 0.559234816041 12 12 5 5 2310 3012 1230 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 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 0.625946449803 1.252595691287 11 6 11 10 1230 0132 3201 3201 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 -1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680770666072 0.638817087845 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), '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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0110_7']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0110_7']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : negation(d['c_0101_12']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0110_7']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0110_7']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1'], '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_12, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_11, c_0101_12, c_0101_8, c_0110_10, c_0110_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3014820/29051153*c_1001_10^7 + 4052725/29051153*c_1001_10^6 + 18248040/29051153*c_1001_10^5 + 18328522/29051153*c_1001_10^4 + 64838409/58102306*c_1001_10^3 + 25288409/29051153*c_1001_10^2 + 17978462/29051153*c_1001_10 + 10011687/29051153, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 2/3*c_1001_10^7 + 2*c_1001_10^6 + 6*c_1001_10^5 + 29/3*c_1001_10^4 + 40/3*c_1001_10^3 + 11*c_1001_10^2 + 6*c_1001_10 + 5/3, c_0011_3 + 1, c_0011_4 + 2/3*c_1001_10^7 + 2*c_1001_10^6 + 6*c_1001_10^5 + 32/3*c_1001_10^4 + 46/3*c_1001_10^3 + 15*c_1001_10^2 + 10*c_1001_10 + 11/3, c_0011_7 + 2/3*c_1001_10^7 + 2*c_1001_10^6 + 6*c_1001_10^5 + 32/3*c_1001_10^4 + 46/3*c_1001_10^3 + 16*c_1001_10^2 + 12*c_1001_10 + 17/3, c_0101_1 + c_1001_10, c_0101_11 - 2/3*c_1001_10^7 - c_1001_10^6 - 4*c_1001_10^5 - 11/3*c_1001_10^4 - 16/3*c_1001_10^3 - 2*c_1001_10^2 + 1/3, c_0101_12 + 2/3*c_1001_10^7 + 2*c_1001_10^6 + 5*c_1001_10^5 + 26/3*c_1001_10^4 + 28/3*c_1001_10^3 + 8*c_1001_10^2 + 3*c_1001_10 + 2/3, c_0101_8 - 2/3*c_1001_10^7 - 2*c_1001_10^6 - 6*c_1001_10^5 - 32/3*c_1001_10^4 - 46/3*c_1001_10^3 - 16*c_1001_10^2 - 12*c_1001_10 - 23/3, c_0110_10 - 2/3*c_1001_10^7 - 2*c_1001_10^6 - 6*c_1001_10^5 - 32/3*c_1001_10^4 - 46/3*c_1001_10^3 - 16*c_1001_10^2 - 12*c_1001_10 - 20/3, c_0110_7 - 1, c_1001_10^8 + 3*c_1001_10^7 + 9*c_1001_10^6 + 16*c_1001_10^5 + 23*c_1001_10^4 + 24*c_1001_10^3 + 18*c_1001_10^2 + 10*c_1001_10 + 3 ], 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_3, c_0011_4, c_0011_7, c_0101_1, c_0101_11, c_0101_12, c_0101_8, c_0110_10, c_0110_7, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1918894099/47819509760*c_1001_10^8 - 2857360903/47819509760*c_1001_10^7 - 11837231591/47819509760*c_1001_10^6 - 1783879279/5977438720*c_1001_10^5 - 17757390869/47819509760*c_1001_10^4 - 1619109727/5977438720*c_1001_10^3 + 1257771533/23909754880*c_1001_10^2 + 6770158639/23909754880*c_1001_10 + 2584298287/47819509760, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - c_1001_10^8 - 3*c_1001_10^7 - 11*c_1001_10^6 - 22*c_1001_10^5 - 38*c_1001_10^4 - 48*c_1001_10^3 - 45*c_1001_10^2 - 28*c_1001_10 - 10, c_0011_3 + 1, c_0011_4 - c_1001_10^8 - 3*c_1001_10^7 - 11*c_1001_10^6 - 22*c_1001_10^5 - 39*c_1001_10^4 - 50*c_1001_10^3 - 49*c_1001_10^2 - 32*c_1001_10 - 12, c_0011_7 - c_1001_10^8 - 3*c_1001_10^7 - 11*c_1001_10^6 - 22*c_1001_10^5 - 39*c_1001_10^4 - 50*c_1001_10^3 - 50*c_1001_10^2 - 34*c_1001_10 - 14, c_0101_1 + c_1001_10, c_0101_11 + c_1001_10^8 + 3*c_1001_10^7 + 10*c_1001_10^6 + 20*c_1001_10^5 + 32*c_1001_10^4 + 40*c_1001_10^3 + 36*c_1001_10^2 + 22*c_1001_10 + 8, c_0101_12 - c_1001_10^8 - 3*c_1001_10^7 - 11*c_1001_10^6 - 21*c_1001_10^5 - 37*c_1001_10^4 - 44*c_1001_10^3 - 42*c_1001_10^2 - 25*c_1001_10 - 9, c_0101_8 + c_1001_10^8 + 3*c_1001_10^7 + 11*c_1001_10^6 + 22*c_1001_10^5 + 39*c_1001_10^4 + 50*c_1001_10^3 + 50*c_1001_10^2 + 34*c_1001_10 + 16, c_0110_10 + c_1001_10^8 + 3*c_1001_10^7 + 11*c_1001_10^6 + 22*c_1001_10^5 + 39*c_1001_10^4 + 50*c_1001_10^3 + 50*c_1001_10^2 + 34*c_1001_10 + 15, c_0110_7 + 1, c_1001_10^9 + 3*c_1001_10^8 + 11*c_1001_10^7 + 22*c_1001_10^6 + 39*c_1001_10^5 + 50*c_1001_10^4 + 50*c_1001_10^3 + 34*c_1001_10^2 + 15*c_1001_10 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB