Magma V2.19-8 Tue Aug 20 2013 23:51:45 on localhost [Seed = 1949441906] Type ? for help. Type -D to quit. Loading file "L13n1073__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1073 geometric_solution 10.07007854 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 0 1 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -1 0 0 1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618073980273 0.864974182822 0 5 7 6 0132 0132 0132 0132 1 1 1 0 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 -1 1 0 0 0 0 0 -7 7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794199602594 0.355756005594 8 0 9 3 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363037119968 0.690409907008 6 7 2 0 1023 3201 0132 0132 1 1 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 1 0 -1 0 0 0 0 0 -7 0 7 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271725791974 0.907005914851 10 5 0 9 0132 3012 0132 0132 1 1 1 0 0 -1 0 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 -7 1 6 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 1.806705282622 2.269361587408 4 1 8 11 1230 0132 1023 0132 1 1 0 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 1 -1 0 0 0 0 0 -1 1 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.181518559984 0.345204953504 6 3 1 6 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842984961817 0.894067922043 10 11 3 1 3120 0132 2310 0132 1 1 0 1 0 -1 1 0 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 -6 7 -1 6 0 -6 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 0.141114644150 1.078826443527 2 9 5 10 0132 3120 1023 0321 1 1 0 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 0 0 1 -1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037262602981 0.437478690570 11 8 4 2 0132 3120 0132 0132 1 1 0 1 0 1 -1 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 6 -6 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 0.037262602981 0.437478690570 4 8 11 7 0132 0321 2031 3120 1 1 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 6 -6 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570557322075 0.539413221763 9 7 5 10 0132 0132 0132 1302 1 1 1 0 0 1 0 -1 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 6 0 -6 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 0.440396584054 0.455670222137 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0101_7'], '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_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_3'], '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_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 859624150712481/1514357378544410*c_1100_0^5 + 32589086443395883/12114859028355280*c_1100_0^4 - 7449309144427473/1425277532747680*c_1100_0^3 + 15253269626124213/3028714757088820*c_1100_0^2 - 25118363741086743/12114859028355280*c_1100_0 + 338919359650433/3028714757088820, c_0011_0 - 1, c_0011_10 + 125111536/32158673*c_1100_0^5 - 530867538/32158673*c_1100_0^4 + 1113244366/32158673*c_1100_0^3 - 1369015746/32158673*c_1100_0^2 + 968856008/32158673*c_1100_0 - 354158194/32158673, c_0011_11 + 125111536/32158673*c_1100_0^5 - 530867538/32158673*c_1100_0^4 + 1113244366/32158673*c_1100_0^3 - 1369015746/32158673*c_1100_0^2 + 968856008/32158673*c_1100_0 - 354158194/32158673, c_0011_3 + 33862224/32158673*c_1100_0^5 - 202908510/32158673*c_1100_0^4 + 511104335/32158673*c_1100_0^3 - 684326392/32158673*c_1100_0^2 + 502975056/32158673*c_1100_0 - 180885321/32158673, c_0101_0 - 1, c_0101_1 - 57952576/32158673*c_1100_0^5 + 294398696/32158673*c_1100_0^4 - 741288758/32158673*c_1100_0^3 + 1009992527/32158673*c_1100_0^2 - 733197645/32158673*c_1100_0 + 247105691/32158673, c_0101_10 - 119401392/32158673*c_1100_0^5 + 524274506/32158673*c_1100_0^4 - 994414260/32158673*c_1100_0^3 + 1036744716/32158673*c_1100_0^2 - 611576026/32158673*c_1100_0 + 193033342/32158673, c_0101_3 - 16988224/32158673*c_1100_0^5 + 70554936/32158673*c_1100_0^4 - 136615496/32158673*c_1100_0^3 + 127624496/32158673*c_1100_0^2 - 112015159/32158673*c_1100_0 + 39980232/32158673, c_0101_5 + 8494112/32158673*c_1100_0^5 - 35277468/32158673*c_1100_0^4 + 68307748/32158673*c_1100_0^3 - 63812248/32158673*c_1100_0^2 + 72086916/32158673*c_1100_0 - 19990116/32158673, c_0101_7 + 68502016/32158673*c_1100_0^5 - 338329560/32158673*c_1100_0^4 + 709325749/32158673*c_1100_0^3 - 799597535/32158673*c_1100_0^2 + 496822915/32158673*c_1100_0 - 153299834/32158673, c_1001_1 - 192270496/32158673*c_1100_0^5 + 767336380/32158673*c_1100_0^4 - 1485199974/32158673*c_1100_0^3 + 1728038965/32158673*c_1100_0^2 - 1204514371/32158673*c_1100_0 + 461210697/32158673, c_1100_0^6 - 533/88*c_1100_0^5 + 709/44*c_1100_0^4 - 2147/88*c_1100_0^3 + 989/44*c_1100_0^2 - 273/22*c_1100_0 + 305/88 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB