Magma V2.19-8 Tue Aug 20 2013 23:55:54 on localhost [Seed = 1781269079] Type ? for help. Type -D to quit. Loading file "L14n13393__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13393 geometric_solution 10.50266996 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 1 1 0 0 0 0 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 0 1 -1 0 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336607375945 0.657264259397 0 3 5 2 0132 3120 0132 3120 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760696264987 0.753669017567 1 0 6 3 3120 0132 0132 3120 1 1 0 1 0 0 0 0 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 -1 0 1 0 0 -4 4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397521754854 0.296263079738 2 1 7 0 3120 3120 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 0 -1 -1 0 2 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 4 0 1 2 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760696264987 0.753669017567 6 6 0 5 2310 0132 0132 2310 1 1 1 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 0 0 3 0 0 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760696264987 0.753669017567 4 8 9 1 3201 0132 0132 0132 1 1 1 1 0 0 0 0 -1 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 0 -3 0 3 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567918922459 0.837755915483 7 4 4 2 0321 0132 3201 0132 1 1 1 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 -4 0 0 4 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382712521134 1.205324145059 6 10 9 3 0321 0132 3201 0132 1 1 1 1 0 1 -1 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 3 -4 1 0 0 4 -4 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567918922459 0.837755915483 11 5 10 11 0132 0132 3120 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303800471509 0.692300102823 7 11 10 5 2310 0132 3201 0132 1 1 1 1 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 0 3 -3 -4 4 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324134398574 0.327808290502 9 7 8 11 2310 0132 3120 1302 1 1 1 1 0 -1 0 1 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 0 0 0 0 -3 0 3 4 0 0 -4 -3 4 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058605604061 1.238470196966 8 9 10 8 0132 0132 2031 0213 1 1 1 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 -1 1 0 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 1.531205428528 0.587281910612 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : 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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0011_4']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : 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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_11'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0011_4'], '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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 85913852473/1613114496*c_1001_2^16 - 5587129689/179234944*c_1001_2^15 + 136287059701/806557248*c_1001_2^14 - 37129169197/230444928*c_1001_2^13 - 8004957323/33606552*c_1001_2^12 + 1418773477/201639312*c_1001_2^11 - 7361540935/8230176*c_1001_2^10 + 198567142427/230444928*c_1001_2^9 + 1016818622989/1613114496*c_1001_2^8 + 342714942319/1613114496*c_1001_2^7 + 92749808099/50409828*c_1001_2^6 - 3177056697373/1613114496*c_1001_2^5 - 260915497967/268852416*c_1001_2^4 - 25524857779/67213104*c_1001_2^3 - 4236845071/2965284*c_1001_2^2 + 83196903793/50409828*c_1001_2 + 27839949107/50409828, c_0011_0 - 1, c_0011_10 - c_1001_2^2 + 1, c_0011_11 - c_1001_2^2 + 1, c_0011_4 + 1, c_0101_0 - c_1001_2, c_0101_1 - 1, c_0101_10 + 1/16*c_1001_2^15 + 1/16*c_1001_2^14 + 1/16*c_1001_2^12 - 7/8*c_1001_2^11 - 1/2*c_1001_2^10 + 1/4*c_1001_2^9 - 3/16*c_1001_2^8 + 55/16*c_1001_2^7 + 25/16*c_1001_2^6 - 21/8*c_1001_2^5 - 5/16*c_1001_2^4 - 15/4*c_1001_2^3 - 7/4*c_1001_2^2 + 4*c_1001_2 + 1, c_0101_11 + 3/16*c_1001_2^16 - 1/8*c_1001_2^15 + 5/16*c_1001_2^14 - 3/16*c_1001_2^13 - 23/16*c_1001_2^12 + c_1001_2^11 - 3/2*c_1001_2^10 + 11/16*c_1001_2^9 + 19/4*c_1001_2^8 - 27/8*c_1001_2^7 + 27/16*c_1001_2^6 + 5/16*c_1001_2^5 - 103/16*c_1001_2^4 + 31/8*c_1001_2^3 + 1/4*c_1001_2^2 - 2*c_1001_2 + 2, c_0101_5 - 1/32*c_1001_2^16 + 1/32*c_1001_2^15 - 1/16*c_1001_2^14 + 3/32*c_1001_2^13 + 1/4*c_1001_2^12 - 1/4*c_1001_2^11 + 3/8*c_1001_2^10 - 21/32*c_1001_2^9 - 29/32*c_1001_2^8 + 33/32*c_1001_2^7 - 3/4*c_1001_2^6 + 53/32*c_1001_2^5 + 25/16*c_1001_2^4 - 9/4*c_1001_2^3 + 1/2*c_1001_2^2 - 1/2*c_1001_2 - 1, c_0101_9 - 1/32*c_1001_2^16 - 1/32*c_1001_2^15 - 1/32*c_1001_2^13 + 7/16*c_1001_2^12 + 1/4*c_1001_2^11 - 1/8*c_1001_2^10 + 3/32*c_1001_2^9 - 71/32*c_1001_2^8 - 25/32*c_1001_2^7 + 21/16*c_1001_2^6 + 5/32*c_1001_2^5 + 31/8*c_1001_2^4 + 7/8*c_1001_2^3 - 3*c_1001_2^2 - 1/2*c_1001_2 - 1, c_1001_1 - 1/32*c_1001_2^16 + 1/32*c_1001_2^15 - 1/16*c_1001_2^14 + 3/32*c_1001_2^13 + 1/4*c_1001_2^12 - 1/4*c_1001_2^11 + 3/8*c_1001_2^10 - 21/32*c_1001_2^9 - 29/32*c_1001_2^8 + 33/32*c_1001_2^7 - 3/4*c_1001_2^6 + 53/32*c_1001_2^5 + 25/16*c_1001_2^4 - 9/4*c_1001_2^3 + 1/2*c_1001_2^2 - 1/2*c_1001_2 - 1, c_1001_2^17 - c_1001_2^16 + 2*c_1001_2^15 - 3*c_1001_2^14 - 8*c_1001_2^13 + 8*c_1001_2^12 - 12*c_1001_2^11 + 21*c_1001_2^10 + 29*c_1001_2^9 - 33*c_1001_2^8 + 24*c_1001_2^7 - 53*c_1001_2^6 - 50*c_1001_2^5 + 72*c_1001_2^4 - 16*c_1001_2^3 + 48*c_1001_2^2 + 32*c_1001_2 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB