Magma V2.19-8 Wed Aug 21 2013 01:03:57 on localhost [Seed = 156176673] Type ? for help. Type -D to quit. Loading file "L14n23929__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23929 geometric_solution 12.48011597 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -1 0 1 1 0 -1 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 2 1 -3 -2 0 2 0 4 -5 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 0 5 2 6 0132 0132 1023 0132 0 0 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 2 0 -2 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274968443889 0.540008867126 6 0 1 7 0132 0132 1023 0132 0 0 1 1 0 1 -1 0 0 0 0 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 -2 2 0 0 0 0 0 -1 -4 0 5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568467868024 1.078175271963 7 8 9 0 0132 0132 0132 0132 0 0 1 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 1 0 -1 2 0 0 -2 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141951528403 0.653254154199 10 10 0 11 0132 1302 0132 0132 0 0 0 1 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 -1 3 -2 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 0.745520780472 0.857923554982 6 1 11 8 1023 0132 3012 1230 0 0 1 1 0 0 0 0 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 -2 0 2 0 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 2 5 1 12 0132 1023 0132 0132 0 0 1 1 0 -1 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 2 0 -2 0 0 0 0 5 0 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568467868024 1.078175271963 3 12 2 12 0132 2103 0132 1023 0 0 0 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 -2 0 0 2 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 5 3 12 10 3012 0132 2103 3012 0 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737796388677 0.561703180893 10 11 11 3 1302 3012 0132 0132 0 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 -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 0.317784219669 1.071343145275 4 9 8 4 0132 2031 1230 2031 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 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317784219669 1.071343145275 9 5 4 9 1230 1230 0132 0132 0 0 1 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 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 0.317784219669 1.071343145275 8 7 6 7 2103 2103 0132 1023 0 0 0 1 0 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 2 -2 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_8']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_12' : negation(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_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0110_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], '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_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], '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' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 23289137/11264*c_1100_1^3 - 102511389/17248*c_1100_1^2 + 192497791/68992*c_1100_1 + 68318241/17248, c_0011_0 - 1, c_0011_10 + 21/32*c_1100_1^3 + 229/112*c_1100_1^2 - 9/14*c_1100_1 - 11/14, c_0011_11 + 7/44*c_1100_1^3 + 267/308*c_1100_1^2 + 67/154*c_1100_1 - 31/77, c_0011_12 + 7/44*c_1100_1^3 + 267/308*c_1100_1^2 + 67/154*c_1100_1 - 31/77, c_0011_3 + 175/352*c_1100_1^3 + 1451/1232*c_1100_1^2 - 83/77*c_1100_1 - 59/154, c_0101_0 - 1, c_0101_1 - 175/352*c_1100_1^3 - 1451/1232*c_1100_1^2 + 83/77*c_1100_1 + 59/154, c_0101_10 - 7/88*c_1100_1^3 - 267/616*c_1100_1^2 + 41/77*c_1100_1 - 23/77, c_0101_12 + 7/176*c_1100_1^3 + 267/1232*c_1100_1^2 + 303/308*c_1100_1 + 23/154, c_0101_3 + 7/88*c_1100_1^3 + 267/616*c_1100_1^2 - 5/154*c_1100_1 + 23/77, c_0110_8 - 161/352*c_1100_1^3 - 74/77*c_1100_1^2 + 19/308*c_1100_1 + 41/77, c_1100_0 + 189/352*c_1100_1^3 + 859/616*c_1100_1^2 - 337/308*c_1100_1 - 18/77, c_1100_1^4 + 120/49*c_1100_1^3 - 128/49*c_1100_1^2 - 64/49*c_1100_1 + 64/49 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 23275357535165877179/1114089118818304*c_1100_1^11 + 14720421324682645971/557044559409152*c_1100_1^10 + 467156286280678430135/1114089118818304*c_1100_1^9 + 71638723590691971723/69630569926144*c_1100_1^8 + 1790019326254308065765/557044559409152*c_1100_1^7 + 6795323462016943449719/1114089118818304*c_1100_1^6 + 988489307395191290027/1114089118818304*c_1100_1^5 - 12431224251834691650877/1114089118818304*c_1100_1^4 - 3511452128598509066423/278522279704576*c_1100_1^3 - 609160084487837912323/278522279704576*c_1100_1^2 + 526022617706062005927/139261139852288*c_1100_1 + 507146165088537232653/278522279704576, c_0011_0 - 1, c_0011_10 - 49978383995/135997206887*c_1100_1^11 - 107684998005/271994413774*c_1100_1^10 - 1998264133565/271994413774*c_1100_1^9 - 4553328722447/271994413774*c_1100_1^8 - 14758249659085/271994413774*c_1100_1^7 - 13412971763283/135997206887*c_1100_1^6 - 696661340751/271994413774*c_1100_1^5 + 25615913350623/135997206887*c_1100_1^4 + 26245044290234/135997206887*c_1100_1^3 + 6366514225247/271994413774*c_1100_1^2 - 8373154374677/135997206887*c_1100_1 - 3654361255186/135997206887, c_0011_11 + 5114476885/543988827548*c_1100_1^11 + 1580531528/135997206887*c_1100_1^10 + 105094597207/543988827548*c_1100_1^9 + 125016832033/271994413774*c_1100_1^8 + 207876959820/135997206887*c_1100_1^7 + 1554187958033/543988827548*c_1100_1^6 + 515188945363/543988827548*c_1100_1^5 - 2291381495827/543988827548*c_1100_1^4 - 816216819684/135997206887*c_1100_1^3 - 888386007721/271994413774*c_1100_1^2 + 21233108425/135997206887*c_1100_1 + 155376780911/135997206887, c_0011_12 - 5114476885/543988827548*c_1100_1^11 - 1580531528/135997206887*c_1100_1^10 - 105094597207/543988827548*c_1100_1^9 - 125016832033/271994413774*c_1100_1^8 - 207876959820/135997206887*c_1100_1^7 - 1554187958033/543988827548*c_1100_1^6 - 515188945363/543988827548*c_1100_1^5 + 2291381495827/543988827548*c_1100_1^4 + 816216819684/135997206887*c_1100_1^3 + 888386007721/271994413774*c_1100_1^2 - 157230315312/135997206887*c_1100_1 - 155376780911/135997206887, c_0011_3 - 5114476885/543988827548*c_1100_1^11 - 1580531528/135997206887*c_1100_1^10 - 105094597207/543988827548*c_1100_1^9 - 125016832033/271994413774*c_1100_1^8 - 207876959820/135997206887*c_1100_1^7 - 1554187958033/543988827548*c_1100_1^6 - 515188945363/543988827548*c_1100_1^5 + 2291381495827/543988827548*c_1100_1^4 + 816216819684/135997206887*c_1100_1^3 + 888386007721/271994413774*c_1100_1^2 - 157230315312/135997206887*c_1100_1 - 155376780911/135997206887, c_0101_0 - 1, c_0101_1 - 5114476885/543988827548*c_1100_1^11 - 1580531528/135997206887*c_1100_1^10 - 105094597207/543988827548*c_1100_1^9 - 125016832033/271994413774*c_1100_1^8 - 207876959820/135997206887*c_1100_1^7 - 1554187958033/543988827548*c_1100_1^6 - 515188945363/543988827548*c_1100_1^5 + 2291381495827/543988827548*c_1100_1^4 + 816216819684/135997206887*c_1100_1^3 + 888386007721/271994413774*c_1100_1^2 - 21233108425/135997206887*c_1100_1 - 155376780911/135997206887, c_0101_10 + 21456144684/135997206887*c_1100_1^11 + 21489067056/135997206887*c_1100_1^10 + 430082379310/135997206887*c_1100_1^9 + 943824936783/135997206887*c_1100_1^8 + 3152028953732/135997206887*c_1100_1^7 + 5567577730440/135997206887*c_1100_1^6 + 45031983871/135997206887*c_1100_1^5 - 10716406832599/135997206887*c_1100_1^4 - 10966424036940/135997206887*c_1100_1^3 - 1215766361767/135997206887*c_1100_1^2 + 3572784271016/135997206887*c_1100_1 + 1479830316014/135997206887, c_0101_12 - 1, c_0101_3 - 86926346887/543988827548*c_1100_1^11 - 40905935001/271994413774*c_1100_1^10 - 1737319288513/543988827548*c_1100_1^9 - 930218078762/135997206887*c_1100_1^8 - 3136274982354/135997206887*c_1100_1^7 - 21828562720539/543988827548*c_1100_1^6 + 1042679528613/543988827548*c_1100_1^5 + 43196461900911/543988827548*c_1100_1^4 + 20545399051357/271994413774*c_1100_1^3 + 1639986356313/271994413774*c_1100_1^2 - 3388273994192/135997206887*c_1100_1 - 1371441976168/135997206887, c_0110_8 + 1207649227/543988827548*c_1100_1^11 + 2006354367/271994413774*c_1100_1^10 + 27801740633/543988827548*c_1100_1^9 + 27447723799/135997206887*c_1100_1^8 + 78583164722/135997206887*c_1100_1^7 + 754956343951/543988827548*c_1100_1^6 + 796389322691/543988827548*c_1100_1^5 - 462229797103/543988827548*c_1100_1^4 - 1119452980599/271994413774*c_1100_1^3 - 1111872588891/271994413774*c_1100_1^2 + 31310867548/135997206887*c_1100_1 + 209542357638/135997206887, c_1100_0 + 1207649227/543988827548*c_1100_1^11 + 2006354367/271994413774*c_1100_1^10 + 27801740633/543988827548*c_1100_1^9 + 27447723799/135997206887*c_1100_1^8 + 78583164722/135997206887*c_1100_1^7 + 754956343951/543988827548*c_1100_1^6 + 796389322691/543988827548*c_1100_1^5 - 462229797103/543988827548*c_1100_1^4 - 1119452980599/271994413774*c_1100_1^3 - 1111872588891/271994413774*c_1100_1^2 + 31310867548/135997206887*c_1100_1 + 209542357638/135997206887, c_1100_1^12 + 2*c_1100_1^11 + 21*c_1100_1^10 + 64*c_1100_1^9 + 190*c_1100_1^8 + 405*c_1100_1^7 + 257*c_1100_1^6 - 503*c_1100_1^5 - 996*c_1100_1^4 - 548*c_1100_1^3 + 104*c_1100_1^2 + 220*c_1100_1 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB