Magma V2.19-8 Tue Aug 20 2013 23:56:47 on localhost [Seed = 3170555067] Type ? for help. Type -D to quit. Loading file "L14n24650__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24650 geometric_solution 11.76037101 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 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 1 -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 0.949803188463 1.143422976740 0 3 4 5 0132 3201 3201 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 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 0.388703362215 0.833589935203 4 0 3 5 3201 0132 2103 3120 0 1 0 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 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 0.312410323303 0.661355378893 2 6 1 0 2103 0132 2310 0132 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 1 0 -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 0.312410323303 0.661355378893 1 6 0 2 2310 3012 0132 2310 0 1 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 0 0 0 -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 0 0 0 0 0 0 0.388703362215 0.833589935203 2 7 1 8 3120 0132 0132 0132 1 1 0 0 0 1 0 -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 12 -1 -11 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 0.759840646056 0.905521044373 4 3 9 10 1230 0132 0132 0132 0 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 -1 0 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 0.273640694788 1.031762467955 11 5 9 10 0132 0132 3120 3201 1 1 0 0 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 -12 12 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755451507355 0.726628009138 9 11 5 10 0132 0213 0132 3120 1 1 1 0 0 -1 1 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 0 0 0 0 -11 11 0 11 0 1 -12 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388703362215 0.833589935203 8 11 7 6 0132 3120 3120 0132 0 1 0 1 0 0 0 0 -1 0 1 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 -11 0 11 0 0 -1 0 1 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312410323303 0.661355378893 8 7 6 11 3120 2310 0132 2103 0 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 -1 1 12 0 0 -12 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540519385166 0.985374589415 7 9 8 10 0132 3120 0213 2103 1 1 0 0 0 0 1 -1 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 0 11 -11 0 0 -12 12 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570135755621 0.517493160554 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_11']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0011_8']), '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_0011_8'], 'c_0101_10' : d['c_0011_4'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_3']), '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_7'], 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_10'], '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_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_4']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 64*c_1001_11^4 + 9*c_1001_11^3 - 165*c_1001_11^2 + 239/4*c_1001_11 + 313/4, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1001_11^2 - 1, c_0011_3 - c_1001_11, c_0011_4 - 2*c_1001_11^4 - c_1001_11^3 + 5*c_1001_11^2 - 2*c_1001_11 - 2, c_0011_8 + 1, c_0101_0 + c_1001_11, c_0101_1 - 1, c_0101_6 - 2*c_1001_11^4 - c_1001_11^3 + 5*c_1001_11^2 - c_1001_11 - 2, c_0101_7 - c_1001_11, c_1001_10 + 2*c_1001_11^4 + c_1001_11^3 - 5*c_1001_11^2 + c_1001_11 + 2, c_1001_11^5 + 1/2*c_1001_11^4 - 5/2*c_1001_11^3 + 3/2*c_1001_11 + 1/2 ], 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 761530021824/143609461*c_1001_11^9 - 1075920912600/143609461*c_1001_11^8 - 2718482093720/143609461*c_1001_11^7 + 8198977957078/143609461*c_1001_11^6 + 8211452956793/143609461*c_1001_11^5 - 8425612592858/143609461*c_1001_11^4 - 6087526443681/287218922*c_1001_11^3 + 1957397257251/287218922*c_1001_11^2 - 275375251213/287218922*c_1001_11 - 301535526339/287218922, c_0011_0 - 1, c_0011_10 - 288996128/143609461*c_1001_11^9 + 59635408/143609461*c_1001_11^8 + 1445921024/143609461*c_1001_11^7 - 1860706968/143609461*c_1001_11^6 - 6529432688/143609461*c_1001_11^5 - 965156041/143609461*c_1001_11^4 + 3332078798/143609461*c_1001_11^3 + 91217173/143609461*c_1001_11^2 - 211498320/143609461*c_1001_11 + 48600464/143609461, c_0011_11 + 210901896/143609461*c_1001_11^9 - 251376448/143609461*c_1001_11^8 - 895107118/143609461*c_1001_11^7 + 2233898531/143609461*c_1001_11^6 + 3006950884/143609461*c_1001_11^5 - 2703567367/143609461*c_1001_11^4 - 1918514130/143609461*c_1001_11^3 + 1000568540/143609461*c_1001_11^2 + 91498908/143609461*c_1001_11 - 71949797/143609461, c_0011_3 - 181684504/143609461*c_1001_11^9 + 258028800/143609461*c_1001_11^8 + 704276618/143609461*c_1001_11^7 - 2040064257/143609461*c_1001_11^6 - 2127428444/143609461*c_1001_11^5 + 2593043847/143609461*c_1001_11^4 + 1285056353/143609461*c_1001_11^3 - 564183899/143609461*c_1001_11^2 - 21284635/143609461*c_1001_11 - 93598445/143609461, c_0011_4 - 8616856/143609461*c_1001_11^9 - 1596392/143609461*c_1001_11^8 + 161603618/143609461*c_1001_11^7 - 206046075/143609461*c_1001_11^6 - 596464765/143609461*c_1001_11^5 + 1098182632/143609461*c_1001_11^4 + 1274603686/143609461*c_1001_11^3 - 889849803/143609461*c_1001_11^2 - 147848871/143609461*c_1001_11 + 15715811/143609461, c_0011_8 - 175510248/143609461*c_1001_11^9 + 321803104/143609461*c_1001_11^8 + 476000830/143609461*c_1001_11^7 - 2068863943/143609461*c_1001_11^6 - 983630390/143609461*c_1001_11^5 + 2191906900/143609461*c_1001_11^4 - 306313319/143609461*c_1001_11^3 - 24705653/143609461*c_1001_11^2 - 139203713/143609461*c_1001_11 - 48275492/143609461, c_0101_0 + 181684504/143609461*c_1001_11^9 - 258028800/143609461*c_1001_11^8 - 704276618/143609461*c_1001_11^7 + 2040064257/143609461*c_1001_11^6 + 2127428444/143609461*c_1001_11^5 - 2593043847/143609461*c_1001_11^4 - 1285056353/143609461*c_1001_11^3 + 564183899/143609461*c_1001_11^2 + 21284635/143609461*c_1001_11 + 93598445/143609461, c_0101_1 - 1, c_0101_6 + 173067648/143609461*c_1001_11^9 - 259625192/143609461*c_1001_11^8 - 542673000/143609461*c_1001_11^7 + 1834018182/143609461*c_1001_11^6 + 1530963679/143609461*c_1001_11^5 - 1494861215/143609461*c_1001_11^4 - 10452667/143609461*c_1001_11^3 - 325665904/143609461*c_1001_11^2 - 126564236/143609461*c_1001_11 + 109314256/143609461, c_0101_7 - c_1001_11, c_1001_10 - 173067648/143609461*c_1001_11^9 + 259625192/143609461*c_1001_11^8 + 542673000/143609461*c_1001_11^7 - 1834018182/143609461*c_1001_11^6 - 1530963679/143609461*c_1001_11^5 + 1494861215/143609461*c_1001_11^4 + 10452667/143609461*c_1001_11^3 + 325665904/143609461*c_1001_11^2 + 126564236/143609461*c_1001_11 - 109314256/143609461, c_1001_11^10 - 2*c_1001_11^9 - 11/4*c_1001_11^8 + 103/8*c_1001_11^7 + 9/2*c_1001_11^6 - 35/2*c_1001_11^5 + 19/8*c_1001_11^4 + 15/4*c_1001_11^3 - 7/8*c_1001_11^2 - 1/8*c_1001_11 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.420 Total time: 0.630 seconds, Total memory usage: 32.09MB