Magma V2.19-8 Tue Aug 20 2013 23:44:58 on localhost [Seed = 2117606366] Type ? for help. Type -D to quit. Loading file "K13n2148__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2148 geometric_solution 10.42726879 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 3 0 0 -3 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145716169314 0.852761774353 0 5 6 4 0132 0132 0132 3201 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 0 0 -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 0 0 0 0.794140087689 0.432683062712 7 0 8 7 0132 0132 0132 2031 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 1 0 -1 -2 0 0 2 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502952886016 0.976732946296 4 5 9 0 3201 2031 0132 0132 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 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215228147387 0.365847592263 10 1 0 3 0132 2310 0132 2310 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 0 0 0 0 0 0 -1 1 -3 0 3 0 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739586320357 1.221860025571 3 1 8 11 1302 0132 2310 0132 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 2 0 -2 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 0.767116120559 0.797684205126 11 11 8 1 3120 0132 1302 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 1.637445218365 0.598971590694 2 2 9 10 0132 1302 1302 3201 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 0 0 0 0 0 -2 2 0 2 0 -3 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 0.583292572648 0.809244532793 6 5 9 2 2031 3201 0321 0132 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 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.242809030321 0.976483708969 7 10 8 3 2031 0213 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 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 -2 0 2 0 -1 3 0 -2 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195341460449 0.801975554726 4 7 9 11 0132 2310 0213 3120 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 0 0 0 3 0 -3 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 0.320956427338 0.483953407011 10 6 5 6 3120 0132 0132 3120 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 0.227887094866 0.751706272161 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_3'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : negation(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' : negation(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' : d['c_1001_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_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' : 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' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_1'], 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0011_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' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0011_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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_1001_1, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 14745483/59540*c_1001_2^16 - 1453131/14885*c_1001_2^15 + 200773491/29770*c_1001_2^14 - 2052055273/59540*c_1001_2^13 + 1320037252/14885*c_1001_2^12 - 8430067497/59540*c_1001_2^11 + 1914474792/14885*c_1001_2^10 - 2145939827/59540*c_1001_2^9 - 1170270103/14885*c_1001_2^8 + 6398723183/59540*c_1001_2^7 - 1623584641/29770*c_1001_2^6 - 1215092253/29770*c_1001_2^5 + 2178095827/29770*c_1001_2^4 - 3438968113/59540*c_1001_2^3 - 51332524/14885*c_1001_2^2 + 67487990/2977*c_1001_2 - 267806742/14885, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_2^16 - 3/2*c_1001_2^15 + 17/4*c_1001_2^14 - 27/4*c_1001_2^13 + 11/2*c_1001_2^12 - 1/2*c_1001_2^11 - 9/2*c_1001_2^10 + 9/2*c_1001_2^9 - 2*c_1001_2^8 - 4*c_1001_2^7 + 5*c_1001_2^6 - 21/4*c_1001_2^5 - 1/2*c_1001_2^4 + 3/4*c_1001_2^3 - 3/2*c_1001_2^2 - 1/4*c_1001_2, c_0011_11 + 1/2*c_1001_2^16 - 7/2*c_1001_2^15 + 25/2*c_1001_2^14 - 27*c_1001_2^13 + 75/2*c_1001_2^12 - 30*c_1001_2^11 + 5*c_1001_2^10 + 20*c_1001_2^9 - 25*c_1001_2^8 + 10*c_1001_2^7 + 10*c_1001_2^6 - 37/2*c_1001_2^5 + 23/2*c_1001_2^4 - 1/2*c_1001_2^3 - 13/2*c_1001_2^2 + 9/2*c_1001_2 - 3/2, c_0011_3 - 1/4*c_1001_2^16 + 1/2*c_1001_2^15 + 3/4*c_1001_2^14 - 29/4*c_1001_2^13 + 33/2*c_1001_2^12 - 43/2*c_1001_2^11 + 23/2*c_1001_2^10 + 5/2*c_1001_2^9 - 14*c_1001_2^8 + 8*c_1001_2^7 - c_1001_2^6 - 43/4*c_1001_2^5 + 15/2*c_1001_2^4 - 15/4*c_1001_2^3 - 7/2*c_1001_2^2 + 5/4*c_1001_2 - 1, c_0011_8 - 7/4*c_1001_2^16 + 25/2*c_1001_2^15 - 179/4*c_1001_2^14 + 389/4*c_1001_2^13 - 271/2*c_1001_2^12 + 219/2*c_1001_2^11 - 35/2*c_1001_2^10 - 151/2*c_1001_2^9 + 97*c_1001_2^8 - 41*c_1001_2^7 - 34*c_1001_2^6 + 271/4*c_1001_2^5 - 89/2*c_1001_2^4 + 7/4*c_1001_2^3 + 39/2*c_1001_2^2 - 57/4*c_1001_2 + 4, c_0011_9 - 1/2*c_1001_2^16 + 7/2*c_1001_2^15 - 25/2*c_1001_2^14 + 27*c_1001_2^13 - 75/2*c_1001_2^12 + 30*c_1001_2^11 - 5*c_1001_2^10 - 20*c_1001_2^9 + 25*c_1001_2^8 - 10*c_1001_2^7 - 10*c_1001_2^6 + 37/2*c_1001_2^5 - 23/2*c_1001_2^4 + 3/2*c_1001_2^3 + 9/2*c_1001_2^2 - 5/2*c_1001_2 + 3/2, c_0101_0 + 1/4*c_1001_2^16 - 1/2*c_1001_2^15 - 3/4*c_1001_2^14 + 29/4*c_1001_2^13 - 33/2*c_1001_2^12 + 43/2*c_1001_2^11 - 23/2*c_1001_2^10 - 5/2*c_1001_2^9 + 14*c_1001_2^8 - 8*c_1001_2^7 + c_1001_2^6 + 43/4*c_1001_2^5 - 15/2*c_1001_2^4 + 15/4*c_1001_2^3 + 7/2*c_1001_2^2 - 5/4*c_1001_2 + 1, c_0101_1 - 5/4*c_1001_2^16 + 17/2*c_1001_2^15 - 117/4*c_1001_2^14 + 243/4*c_1001_2^13 - 161/2*c_1001_2^12 + 121/2*c_1001_2^11 - 13/2*c_1001_2^10 - 83/2*c_1001_2^9 + 47*c_1001_2^8 - 14*c_1001_2^7 - 24*c_1001_2^6 + 153/4*c_1001_2^5 - 43/2*c_1001_2^4 - 3/4*c_1001_2^3 + 21/2*c_1001_2^2 - 23/4*c_1001_2 + 2, c_0101_11 - 1/4*c_1001_2^16 + 5/2*c_1001_2^15 - 41/4*c_1001_2^14 + 99/4*c_1001_2^13 - 73/2*c_1001_2^12 + 63/2*c_1001_2^11 - 13/2*c_1001_2^10 - 37/2*c_1001_2^9 + 27*c_1001_2^8 - 13*c_1001_2^7 - 7*c_1001_2^6 + 81/4*c_1001_2^5 - 29/2*c_1001_2^4 + 9/4*c_1001_2^3 + 11/2*c_1001_2^2 - 15/4*c_1001_2 + 2, c_1001_1 - c_1001_2^5 + 2*c_1001_2^4 - 2*c_1001_2^3 - 2*c_1001_2^2 + 2*c_1001_2 - 1, c_1001_10 - 1/2*c_1001_2^15 + 3*c_1001_2^14 - 19/2*c_1001_2^13 + 35/2*c_1001_2^12 - 20*c_1001_2^11 + 10*c_1001_2^10 + 5*c_1001_2^9 - 15*c_1001_2^8 + 10*c_1001_2^7 - 10*c_1001_2^5 + 15/2*c_1001_2^4 - 2*c_1001_2^3 - 5/2*c_1001_2^2 + c_1001_2 - 1/2, c_1001_2^17 - 8*c_1001_2^16 + 33*c_1001_2^15 - 85*c_1001_2^14 + 148*c_1001_2^13 - 170*c_1001_2^12 + 110*c_1001_2^11 + 10*c_1001_2^10 - 100*c_1001_2^9 + 100*c_1001_2^8 - 20*c_1001_2^7 - 57*c_1001_2^6 + 80*c_1001_2^5 - 41*c_1001_2^4 - 4*c_1001_2^3 + 23*c_1001_2^2 - 14*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB