Magma V2.19-8 Tue Aug 20 2013 23:41:12 on localhost [Seed = 3651124560] Type ? for help. Type -D to quit. Loading file "L12n1011__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1011 geometric_solution 9.74968543 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 0 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 0 0 0 0 0 0 0 0 -1 0 1 4 0 -3 -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 0.772448957220 0.695268668491 0 0 4 4 0132 1302 3012 0132 0 0 0 1 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 1 -1 0 -4 0 0 4 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284819753873 0.643722038599 5 0 7 6 0132 0132 0132 0132 0 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165716376644 0.794633933774 8 9 5 0 0132 0132 0321 0132 0 0 0 1 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 0 0 -3 3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773307043584 0.527400923813 8 1 1 7 2103 1230 0132 3012 0 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 0 0 0 0 0 -4 4 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772448957220 0.695268668491 2 7 3 9 0132 3120 0321 3120 0 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 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516198769034 1.797124929743 10 10 2 8 0132 2310 0132 1023 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 0 0 0 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 0.334185033502 0.806745875989 8 5 4 2 1023 3120 1230 0132 0 1 1 0 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 3 -4 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.342513862774 0.708002090179 3 7 4 6 0132 1023 2103 1023 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 0 0 0 0 0 0 -1 1 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347972322480 1.424300226542 5 3 10 10 3120 0132 2310 0132 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 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 0.896134533744 1.473044806592 6 9 9 6 0132 3201 0132 3201 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 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 -0.368820123724 0.726737872832 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_1001_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_1001_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_4']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0110_4'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0110_4']), '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' : 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' : 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' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_10' : negation(d['c_0101_3']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_3, c_0101_9, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 15556841/95*c_1001_4^10 - 75946779/95*c_1001_4^9 - 184651106/95*c_1001_4^8 - 289660121/95*c_1001_4^7 - 64651047/19*c_1001_4^6 - 267113593/95*c_1001_4^5 - 165102194/95*c_1001_4^4 - 75330898/95*c_1001_4^3 - 2553141/10*c_1001_4^2 - 9919859/190*c_1001_4 - 478167/95, c_0011_0 - 1, c_0011_10 + 860*c_1001_4^10 + 4348*c_1001_4^9 + 10876*c_1001_4^8 + 17226*c_1001_4^7 + 18986*c_1001_4^6 + 15086*c_1001_4^5 + 8686*c_1001_4^4 + 3526*c_1001_4^3 + 940*c_1001_4^2 + 138*c_1001_4 + 7, c_0011_3 + 5418*c_1001_4^10 + 25380*c_1001_4^9 + 60006*c_1001_4^8 + 91970*c_1001_4^7 + 100554*c_1001_4^6 + 81402*c_1001_4^5 + 49244*c_1001_4^4 + 21928*c_1001_4^3 + 6855*c_1001_4^2 + 1350*c_1001_4 + 124, c_0011_4 + 86*c_1001_4^10 + 366*c_1001_4^9 + 812*c_1001_4^8 + 1172*c_1001_4^7 + 1216*c_1001_4^6 + 932*c_1001_4^5 + 536*c_1001_4^4 + 224*c_1001_4^3 + 67*c_1001_4^2 + 11*c_1001_4 + 1, c_0101_0 - 1, c_0101_10 + 10750*c_1001_4^10 + 50996*c_1001_4^9 + 121504*c_1001_4^8 + 187182*c_1001_4^7 + 205358*c_1001_4^6 + 166730*c_1001_4^5 + 101166*c_1001_4^4 + 45220*c_1001_4^3 + 14223*c_1001_4^2 + 2828*c_1001_4 + 264, c_0101_3 + 6708*c_1001_4^10 + 32332*c_1001_4^9 + 77806*c_1001_4^8 + 121050*c_1001_4^7 + 134304*c_1001_4^6 + 110588*c_1001_4^5 + 68270*c_1001_4^4 + 31186*c_1001_4^3 + 10080*c_1001_4^2 + 2074*c_1001_4 + 202, c_0101_9 + 3784*c_1001_4^10 + 19802*c_1001_4^9 + 50692*c_1001_4^8 + 82932*c_1001_4^7 + 95752*c_1001_4^6 + 81410*c_1001_4^5 + 51550*c_1001_4^4 + 24018*c_1001_4^3 + 7882*c_1001_4^2 + 1645*c_1001_4 + 163, c_0110_4 + 1, c_1001_0 - 86*c_1001_4^10 - 452*c_1001_4^9 - 1178*c_1001_4^8 - 1984*c_1001_4^7 - 2388*c_1001_4^6 - 2148*c_1001_4^5 - 1468*c_1001_4^4 - 760*c_1001_4^3 - 291*c_1001_4^2 - 77*c_1001_4 - 11, c_1001_4^11 + 226/43*c_1001_4^10 + 589/43*c_1001_4^9 + 992/43*c_1001_4^8 + 1194/43*c_1001_4^7 + 1074/43*c_1001_4^6 + 734/43*c_1001_4^5 + 380/43*c_1001_4^4 + 291/86*c_1001_4^3 + 39/43*c_1001_4^2 + 13/86*c_1001_4 + 1/86 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB