Magma V2.19-8 Tue Aug 20 2013 23:47:48 on localhost [Seed = 3187398614] Type ? for help. Type -D to quit. Loading file "L11n203__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n203 geometric_solution 11.37547595 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 1 1 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 1 0 -1 -1 0 1 0 3 -1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465806912302 0.663511366145 0 4 6 5 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 0 0 1 0 -1 0 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736199047767 0.914419237515 0 0 6 7 2031 0132 3012 0132 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 -1 0 1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291250275925 1.009567452213 8 9 0 4 0132 0132 0132 0213 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 0 1 -1 0 0 0 0 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672258383023 0.636845208774 5 1 10 3 0213 0132 0132 0213 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 0 0 -1 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 0.890588567168 0.742697978436 4 11 1 10 0213 0132 0132 0132 1 1 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 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 0.085924568787 0.618446884597 8 2 9 1 3120 1230 0321 0132 1 1 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 0 0 -1 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 0.776728746544 0.618136361483 11 10 2 8 0132 3012 0132 3012 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 -1 1 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 0.064536434730 0.846378582507 3 9 7 6 0132 0321 1230 3120 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512832461734 0.616514199218 11 3 6 8 2103 0132 0321 0321 1 1 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 0 0 0 0 0 0 0 0 0 0 1 2 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.086804381124 1.343826327322 7 11 5 4 1230 0321 0132 0132 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 -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 0.694835994101 0.839068358443 7 5 9 10 0132 0132 2103 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.086804381124 1.343826327322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_6'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : d['c_1001_9'], 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_9'], 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0101_11']})} 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_6, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_4, c_1001_6, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 14731391885/69457*c_1001_9^6 + 117737525675/833484*c_1001_9^5 + 158934022605/1111312*c_1001_9^4 - 263586052045/1111312*c_1001_9^3 + 3512023943/555656*c_1001_9^2 + 381389945527/3333936*c_1001_9 - 89391316895/1666968, c_0011_0 - 1, c_0011_10 - 471672/69457*c_1001_9^6 + 72462/69457*c_1001_9^5 + 1047339/138914*c_1001_9^4 - 356198/69457*c_1001_9^3 - 488747/138914*c_1001_9^2 + 500097/138914*c_1001_9 - 14567/138914, c_0011_11 + 41064/69457*c_1001_9^6 + 295990/69457*c_1001_9^5 + 207215/138914*c_1001_9^4 - 208316/69457*c_1001_9^3 + 352179/138914*c_1001_9^2 + 202503/138914*c_1001_9 - 112843/138914, c_0011_3 - 251328/69457*c_1001_9^6 + 25888/69457*c_1001_9^5 + 61344/69457*c_1001_9^4 - 224783/69457*c_1001_9^3 - 7832/69457*c_1001_9^2 + 55913/69457*c_1001_9 - 27984/69457, c_0011_6 + c_1001_9, c_0101_1 - 1, c_0101_10 + 405360/69457*c_1001_9^6 - 359484/69457*c_1001_9^5 - 289907/69457*c_1001_9^4 + 429788/69457*c_1001_9^3 + 10881/69457*c_1001_9^2 - 181963/69457*c_1001_9 + 49804/69457, c_0101_11 - 154032/69457*c_1001_9^6 + 333596/69457*c_1001_9^5 + 228563/69457*c_1001_9^4 - 205005/69457*c_1001_9^3 - 3049/69457*c_1001_9^2 + 195507/69457*c_1001_9 - 21820/69457, c_0101_2 - 471672/69457*c_1001_9^6 + 72462/69457*c_1001_9^5 + 1047339/138914*c_1001_9^4 - 356198/69457*c_1001_9^3 - 488747/138914*c_1001_9^2 + 361183/138914*c_1001_9 - 14567/138914, c_1001_4 + 471672/69457*c_1001_9^6 - 72462/69457*c_1001_9^5 - 1047339/138914*c_1001_9^4 + 356198/69457*c_1001_9^3 + 488747/138914*c_1001_9^2 - 500097/138914*c_1001_9 + 14567/138914, c_1001_6 - 517344/69457*c_1001_9^6 + 31640/69457*c_1001_9^5 + 333742/69457*c_1001_9^4 - 192542/69457*c_1001_9^3 - 184803/69457*c_1001_9^2 + 100210/69457*c_1001_9 + 21776/69457, c_1001_9^7 - 7/12*c_1001_9^6 - 35/48*c_1001_9^5 + 17/16*c_1001_9^4 + 1/16*c_1001_9^3 - 13/24*c_1001_9^2 + 5/24*c_1001_9 + 1/48 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB