Magma V2.19-8 Tue Aug 20 2013 23:52:33 on localhost [Seed = 1410482059] Type ? for help. Type -D to quit. Loading file "L13n2859__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2859 geometric_solution 11.13571879 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 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 -1 1 -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 0.714698228516 1.265024781870 0 5 7 6 0132 0132 0132 0132 0 0 0 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 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 -0.012188098650 0.527934550163 8 0 9 6 0132 0132 0132 2103 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 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 0.314543808715 1.066616931133 10 8 11 0 0132 2310 0132 0132 1 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 -1 0 1 0 0 1 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476536988956 0.489485988751 11 7 0 5 0132 3012 0132 1302 1 0 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 -1 1 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 0.543301490779 0.421514110032 8 1 4 10 1023 0132 2031 3201 0 1 1 0 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 -1 1 0 -8 0 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276993439826 0.931023511056 10 9 1 2 2103 1023 0132 2103 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529461689151 0.945013354761 4 9 8 1 1230 3120 3120 0132 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 0 0 0 -1 0 1 -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 -0.010512726122 1.742216640736 2 5 7 3 0132 1023 3120 3201 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 0 0 0 0 0 0 0 0 8 0 -8 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 0.582350474446 1.056746353091 6 7 11 2 1023 3120 0321 0132 1 0 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000601958088 0.956786770966 3 5 6 11 0132 2310 2103 0321 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 0 0 0 0 0 0 8 -9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349886674452 1.523705236188 4 10 9 3 0132 0321 0321 0132 1 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 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 0.872314693784 0.664167183550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : negation(d['1']), 's_3_10' : negation(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_0'], 's_2_0' : 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' : negation(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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 83852368449/243584*c_0110_6^8 + 395207742635/60896*c_0110_6^7 + 7062062186291/243584*c_0110_6^6 + 772134156751/11072*c_0110_6^5 + 14176459434997/121792*c_0110_6^4 + 90556332855/692*c_0110_6^3 + 6455527353867/60896*c_0110_6^2 + 1830002164329/30448*c_0110_6 + 568690119947/30448, c_0011_0 - 1, c_0011_10 - 29/346*c_0110_6^8 - 4181/2768*c_0110_6^7 - 7991/1384*c_0110_6^6 - 32329/2768*c_0110_6^5 - 5961/346*c_0110_6^4 - 10929/692*c_0110_6^3 - 7787/692*c_0110_6^2 - 3683/692*c_0110_6 - 183/346, c_0011_11 + 263/2768*c_0110_6^8 + 1203/692*c_0110_6^7 + 9753/1384*c_0110_6^6 + 2686/173*c_0110_6^5 + 66707/2768*c_0110_6^4 + 16211/692*c_0110_6^3 + 5863/346*c_0110_6^2 + 2639/346*c_0110_6 + 831/692, c_0011_6 - 97/5536*c_0110_6^8 - 817/2768*c_0110_6^7 - 4715/5536*c_0110_6^6 - 223/173*c_0110_6^5 - 3959/2768*c_0110_6^4 + 163/692*c_0110_6^3 + 979/1384*c_0110_6^2 + 453/346*c_0110_6 + 397/692, c_0011_7 + 263/5536*c_0110_6^8 + 2579/2768*c_0110_6^7 + 25561/5536*c_0110_6^6 + 7967/692*c_0110_6^5 + 52643/2768*c_0110_6^4 + 14593/692*c_0110_6^3 + 20203/1384*c_0110_6^2 + 2963/346*c_0110_6 + 675/692, c_0101_0 - 1, c_0101_11 - 3685/127328*c_0110_6^8 - 15377/31832*c_0110_6^7 - 165367/127328*c_0110_6^6 - 85379/63664*c_0110_6^5 - 13535/63664*c_0110_6^4 + 50969/15916*c_0110_6^3 + 125347/31832*c_0110_6^2 + 48157/15916*c_0110_6 + 16737/15916, c_0101_2 + 157/2768*c_0110_6^8 + 1383/1384*c_0110_6^7 + 9761/2768*c_0110_6^6 + 4737/692*c_0110_6^5 + 3377/346*c_0110_6^4 + 5349/692*c_0110_6^3 + 3263/692*c_0110_6^2 + 219/346*c_0110_6 - 60/173, c_0101_5 + 51/5536*c_0110_6^8 + 533/2768*c_0110_6^7 + 6071/5536*c_0110_6^6 + 490/173*c_0110_6^5 + 1619/346*c_0110_6^4 + 3731/692*c_0110_6^3 + 4661/1384*c_0110_6^2 + 889/346*c_0110_6 + 74/173, c_0101_8 + 1391/31832*c_0110_6^8 + 50907/63664*c_0110_6^7 + 205179/63664*c_0110_6^6 + 432615/63664*c_0110_6^5 + 624073/63664*c_0110_6^4 + 31954/3979*c_0110_6^3 + 65761/15916*c_0110_6^2 + 17133/15916*c_0110_6 - 8959/15916, c_0110_5 + 255/5536*c_0110_6^8 + 2319/2768*c_0110_6^7 + 18245/5536*c_0110_6^6 + 2305/346*c_0110_6^5 + 26181/2768*c_0110_6^4 + 1420/173*c_0110_6^3 + 7735/1384*c_0110_6^2 + 406/173*c_0110_6 + 269/692, c_0110_6^9 + 19*c_0110_6^8 + 87*c_0110_6^7 + 215*c_0110_6^6 + 368*c_0110_6^5 + 430*c_0110_6^4 + 364*c_0110_6^3 + 220*c_0110_6^2 + 80*c_0110_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB