Magma V2.19-8 Tue Aug 20 2013 23:53:04 on localhost [Seed = 4055341580] Type ? for help. Type -D to quit. Loading file "L13n4631__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4631 geometric_solution 10.90115873 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 -5 4 1 -4 0 4 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 0.590535525219 0.380642245699 0 5 6 3 0132 0132 0132 2031 0 1 0 1 0 0 0 0 -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 0 -1 1 4 0 0 -4 -1 4 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644047110385 1.157409865166 4 0 8 7 1023 0132 0132 0132 1 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 0 0 0 0 5 -5 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 -0.026558582389 1.156435042985 9 1 8 0 0132 1302 0213 0132 1 1 0 0 0 -1 0 1 -1 0 0 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 4 0 -4 5 0 -1 -4 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724681564164 0.438886674419 6 2 0 8 0132 1023 0132 1230 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 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 1.019848760997 0.864270631635 6 1 10 11 1023 0132 0132 0132 0 0 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 0 0 0 0 1 0 0 -1 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144142474987 1.153719742281 4 5 7 1 0132 1023 3012 0132 0 1 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 -1 0 1 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 0.369484829827 0.469794222327 11 6 2 9 1302 1230 0132 1023 1 1 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 0 0 0 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 -0.034317745646 1.315118948679 4 3 9 2 3012 0213 1023 0132 1 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 0 0 0 0 0 -5 5 -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 -0.196334542708 0.771122900310 3 11 8 7 0132 3012 1023 1023 1 1 0 0 0 0 0 0 1 0 -1 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 1 -1 0 -5 0 5 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242755831764 0.789340395057 11 10 10 5 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369210856051 0.695770434885 9 7 5 10 1230 2031 0132 2310 0 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 -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 0.144142474987 1.153719742281 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_2']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_3']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], '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_0'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0101_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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1157365/44928*c_1001_0^14 + 9688279/44928*c_1001_0^13 + 12590717/14976*c_1001_0^12 + 2883259/1404*c_1001_0^11 + 1585051/432*c_1001_0^10 + 116165095/22464*c_1001_0^9 + 14133499/2496*c_1001_0^8 + 99641395/22464*c_1001_0^7 + 28233103/14976*c_1001_0^6 - 42698351/44928*c_1001_0^5 - 72663791/22464*c_1001_0^4 - 56832475/14976*c_1001_0^3 - 134070449/44928*c_1001_0^2 - 19668593/11232*c_1001_0 - 15705151/22464, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_0^14 - 5/2*c_1001_0^13 - 49/4*c_1001_0^12 - 79/2*c_1001_0^11 - 95*c_1001_0^10 - 181*c_1001_0^9 - 563/2*c_1001_0^8 - 729/2*c_1001_0^7 - 1587/4*c_1001_0^6 - 723/2*c_1001_0^5 - 543/2*c_1001_0^4 - 331/2*c_1001_0^3 - 309/4*c_1001_0^2 - 47/2*c_1001_0 - 7/2, c_0011_11 + 1, c_0011_3 + c_1001_0^5 + 3*c_1001_0^4 + 4*c_1001_0^3 + 4*c_1001_0^2 + 3*c_1001_0 + 1, c_0011_7 + 1/4*c_1001_0^14 + 9/4*c_1001_0^13 + 19/2*c_1001_0^12 + 51/2*c_1001_0^11 + 51*c_1001_0^10 + 83*c_1001_0^9 + 112*c_1001_0^8 + 125*c_1001_0^7 + 471/4*c_1001_0^6 + 377/4*c_1001_0^5 + 241/4*c_1001_0^4 + 123/4*c_1001_0^3 + 13*c_1001_0^2 + 7/2*c_1001_0, c_0011_8 + c_1001_0, c_0101_0 - c_1001_0^2 - c_1001_0 - 1, c_0101_1 - 1, c_0101_11 + 1/4*c_1001_0^13 + 9/4*c_1001_0^12 + 19/2*c_1001_0^11 + 51/2*c_1001_0^10 + 51*c_1001_0^9 + 83*c_1001_0^8 + 112*c_1001_0^7 + 125*c_1001_0^6 + 471/4*c_1001_0^5 + 377/4*c_1001_0^4 + 241/4*c_1001_0^3 + 123/4*c_1001_0^2 + 13*c_1001_0 + 5/2, c_0101_2 - 1/2*c_1001_0^14 - 9/2*c_1001_0^13 - 39/2*c_1001_0^12 - 55*c_1001_0^11 - 117*c_1001_0^10 - 202*c_1001_0^9 - 290*c_1001_0^8 - 350*c_1001_0^7 - 719/2*c_1001_0^6 - 629/2*c_1001_0^5 - 228*c_1001_0^4 - 273/2*c_1001_0^3 - 127/2*c_1001_0^2 - 21*c_1001_0 - 2, c_1001_0^15 + 10*c_1001_0^14 + 48*c_1001_0^13 + 149*c_1001_0^12 + 344*c_1001_0^11 + 638*c_1001_0^10 + 984*c_1001_0^9 + 1280*c_1001_0^8 + 1419*c_1001_0^7 + 1348*c_1001_0^6 + 1085*c_1001_0^5 + 729*c_1001_0^4 + 400*c_1001_0^3 + 169*c_1001_0^2 + 46*c_1001_0 + 6, c_1100_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB