Magma V2.19-8 Tue Aug 20 2013 23:57:44 on localhost [Seed = 3734550043] Type ? for help. Type -D to quit. Loading file "L14n33670__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33670 geometric_solution 11.03517695 oriented_manifold CS_known 0.0000000000000001 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 0 0 0 0 0 1 -1 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 0 -1 1 -1 0 4 -3 -1 -3 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418525679156 1.092333646140 0 5 4 6 0132 0132 1230 0132 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 0 0 0 0 0 3 -3 1 0 0 -1 3 -4 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233593102586 1.321125072160 7 0 9 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 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 1 -1 0 -3 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286411189990 0.510805876965 10 5 8 0 0132 1230 0132 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 -1 0 1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447382710501 0.616040494354 10 11 0 1 3120 0132 0132 3012 1 0 0 1 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 -1 1 0 0 3 -3 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775957209204 0.655386723089 7 1 3 9 1023 0132 3012 1302 0 1 1 1 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 -1 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055149313548 0.539570795913 11 7 1 8 0321 1230 0132 1230 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 0 0 0 0 0 3 -3 0 0 1 -1 -4 4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806868066326 0.899471319307 2 5 6 10 0132 1023 3012 3201 1 0 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 -1 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812530860345 1.834163770784 6 9 2 3 3012 3012 0132 0132 1 0 0 1 0 0 0 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 0 0 0 3 0 1 -4 1 -1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.363153614743 0.805388343495 8 11 5 2 1230 0321 2031 0132 1 0 1 1 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 1 0 0 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926580312730 0.663270867737 3 7 11 4 0132 2310 0321 3120 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 0.328542095204 0.566337803976 6 4 10 9 0321 0132 0321 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418525679156 1.092333646140 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_11']), 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0101_0'], '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_1100_9' : negation(d['c_1001_1']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_9']), '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' : d['c_0011_6'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_1001_1'])})} 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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 128*c_1001_2 + 192, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1/2*c_1001_2 + 1/2, c_0011_6 + c_1001_2, c_0101_0 - 1, c_0101_1 - 1/2, c_0101_3 + 1/2*c_1001_2 + 1/2, c_0101_7 - 1/2*c_1001_2 - 1, c_0101_9 + 1/2*c_1001_2 - 1/2, c_0110_5 - c_1001_2 + 1, c_1001_1 + 1/2*c_1001_2, c_1001_2^2 + c_1001_2 - 1 ], 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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 119/120*c_1001_2^8 - 243/70*c_1001_2^7 - 2579/420*c_1001_2^6 + 38963/840*c_1001_2^5 - 6415/84*c_1001_2^4 + 14093/280*c_1001_2^3 - 211/24*c_1001_2^2 + 33233/840*c_1001_2 - 19391/420, c_0011_0 - 1, c_0011_10 - 1/28*c_1001_2^8 + 5/28*c_1001_2^7 - 5/28*c_1001_2^6 - 17/28*c_1001_2^5 + 12/7*c_1001_2^4 - 57/28*c_1001_2^3 + c_1001_2^2 - 25/28*c_1001_2 + 19/14, c_0011_11 + 1/28*c_1001_2^7 - 3/14*c_1001_2^6 + 3/7*c_1001_2^5 - 5/28*c_1001_2^4 - 3/7*c_1001_2^3 + 17/28*c_1001_2^2 - 3/28*c_1001_2 + 3/28, c_0011_6 + 1/7*c_1001_2^8 - 13/14*c_1001_2^7 + 33/14*c_1001_2^6 - 19/7*c_1001_2^5 + 9/7*c_1001_2^4 + 1/7*c_1001_2^3 + 19/14*c_1001_2^2 - 5/7*c_1001_2 - 3/7, c_0101_0 - 1, c_0101_1 - 1/7*c_1001_2^8 + 15/14*c_1001_2^7 - 45/14*c_1001_2^6 + 131/28*c_1001_2^5 - 13/4*c_1001_2^4 + 9/14*c_1001_2^3 - 10/7*c_1001_2^2 + 16/7*c_1001_2 + 17/28, c_0101_3 - 3/56*c_1001_2^8 + 9/28*c_1001_2^7 - 33/56*c_1001_2^6 - 1/7*c_1001_2^5 + 47/28*c_1001_2^4 - 109/56*c_1001_2^3 - 19/56*c_1001_2^2 + c_1001_2 + 11/7, c_0101_7 + 1/28*c_1001_2^8 - 1/4*c_1001_2^7 + 9/14*c_1001_2^6 - 17/28*c_1001_2^5 - 1/4*c_1001_2^4 + 29/28*c_1001_2^3 - 5/7*c_1001_2^2 + 3/14*c_1001_2 - 31/28, c_0101_9 + 1/28*c_1001_2^8 - 1/4*c_1001_2^7 + 9/14*c_1001_2^6 - 17/28*c_1001_2^5 - 1/4*c_1001_2^4 + 29/28*c_1001_2^3 - 5/7*c_1001_2^2 + 3/14*c_1001_2 - 31/28, c_0110_5 - 1, c_1001_1 - 1/28*c_1001_2^7 + 3/14*c_1001_2^6 - 3/7*c_1001_2^5 + 5/28*c_1001_2^4 + 3/7*c_1001_2^3 - 17/28*c_1001_2^2 + 3/28*c_1001_2 - 3/28, c_1001_2^9 - 7*c_1001_2^8 + 19*c_1001_2^7 - 24*c_1001_2^6 + 15*c_1001_2^5 - 7*c_1001_2^4 + 20*c_1001_2^3 - 19*c_1001_2^2 - 9*c_1001_2 - 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB