Magma V2.19-8 Tue Aug 20 2013 23:53:33 on localhost [Seed = 4240086785] Type ? for help. Type -D to quit. Loading file "L13n6573__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6573 geometric_solution 10.84801330 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 0 1 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 -1 1 0 0 0 0 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554948106307 0.674048457190 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 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 2 -2 0 0 1 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842146634742 0.651879511278 3 0 9 8 1023 0132 0132 0132 0 0 1 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 0 0 0 1 0 -1 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196084507940 1.423954557368 10 2 7 0 0132 1023 3012 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 -1 0 1 2 0 -2 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 0.416411084892 0.271391618561 11 5 0 6 0132 0213 0132 0213 0 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 0 0 0 0 0 -1 -1 2 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 0.720373964968 0.839866797585 10 1 4 8 1023 0132 0213 2031 0 0 1 1 0 0 -1 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 0 1 -1 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 0.985302396431 1.284560307662 10 9 1 4 2103 0132 0132 0213 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 0 2 -2 -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 0.766569965560 0.713525759449 11 3 9 1 3120 1230 3120 0132 0 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 2 0 -2 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 0.581956087920 0.497815401976 10 5 2 11 3012 1302 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083541527092 0.584087759783 11 6 7 2 1023 0132 3120 0132 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 -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 0.083541527092 0.584087759783 3 5 6 8 0132 1023 2103 1230 0 0 1 1 0 0 0 0 1 0 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 -2 0 1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027949301332 0.929406940200 4 9 8 7 0132 1023 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861443400445 0.972351697034 ==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_0011_11']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : negation(d['1']), 's_0_11' : 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' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_9'], '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' : 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_11'], 'c_0011_8' : d['c_0011_8'], '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' : negation(d['c_0011_11']), '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' : d['c_0101_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_0011_8'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_11'])})} 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_11, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0101_9, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 10762944419029974/116812996253125*c_1001_7^8 - 211911840607573/783979840625*c_1001_7^7 + 206576424852378041/116812996253125*c_1001_7^6 + 169212685995228028/116812996253125*c_1001_7^5 - 581445493625361862/116812996253125*c_1001_7^4 - 811301191305179361/116812996253125*c_1001_7^3 - 21581464555215746/23362599250625*c_1001_7^2 + 361058205211519417/116812996253125*c_1001_7 + 792430943503425039/116812996253125, c_0011_0 - 1, c_0011_11 - 23782877/1967376779*c_1001_7^8 - 658961/13203871*c_1001_7^7 + 349089695/1967376779*c_1001_7^6 + 865362354/1967376779*c_1001_7^5 - 336123763/1967376779*c_1001_7^4 - 3261768352/1967376779*c_1001_7^3 - 3390732069/1967376779*c_1001_7^2 - 618659056/1967376779*c_1001_7 + 1579108264/1967376779, c_0011_7 + 3679/13203871*c_1001_7^8 - 86000/13203871*c_1001_7^7 - 245670/13203871*c_1001_7^6 + 2372444/13203871*c_1001_7^5 + 358624/13203871*c_1001_7^4 - 10266625/13203871*c_1001_7^3 + 1852510/13203871*c_1001_7^2 + 16885560/13203871*c_1001_7 + 4317091/13203871, c_0011_8 - 22385013/1967376779*c_1001_7^8 - 632143/13203871*c_1001_7^7 + 369541418/1967376779*c_1001_7^6 + 947637249/1967376779*c_1001_7^5 - 1306934115/1967376779*c_1001_7^4 - 3299655100/1967376779*c_1001_7^3 - 510784229/1967376779*c_1001_7^2 + 1106357598/1967376779*c_1001_7 + 1720150562/1967376779, c_0101_0 - 1, c_0101_1 + 27554837/1967376779*c_1001_7^8 + 384327/13203871*c_1001_7^7 - 597589986/1967376779*c_1001_7^6 - 15634916/1967376779*c_1001_7^5 + 1754943745/1967376779*c_1001_7^4 + 1510133736/1967376779*c_1001_7^3 - 1124116249/1967376779*c_1001_7^2 - 2128248811/1967376779*c_1001_7 - 1700610753/1967376779, c_0101_11 - 20601550/1967376779*c_1001_7^8 - 297118/13203871*c_1001_7^7 + 438252700/1967376779*c_1001_7^6 + 26990836/1967376779*c_1001_7^5 - 1304695371/1967376779*c_1001_7^4 - 1284489537/1967376779*c_1001_7^3 + 1651983249/1967376779*c_1001_7^2 + 498861938/1967376779*c_1001_7 + 2095535860/1967376779, c_0101_7 + 29624392/1967376779*c_1001_7^8 + 581492/13203871*c_1001_7^7 - 518190715/1967376779*c_1001_7^6 - 243257860/1967376779*c_1001_7^5 + 1145466804/1967376779*c_1001_7^4 + 1792491812/1967376779*c_1001_7^3 - 22489736/1967376779*c_1001_7^2 - 1790545438/1967376779*c_1001_7 - 559075670/1967376779, c_0101_8 - 4469114/1967376779*c_1001_7^8 - 97037/13203871*c_1001_7^7 + 102099124/1967376779*c_1001_7^6 + 132490629/1967376779*c_1001_7^5 - 609953016/1967376779*c_1001_7^4 - 96233592/1967376779*c_1001_7^3 + 489465491/1967376779*c_1001_7^2 + 1213122372/1967376779*c_1001_7 - 647430118/1967376779, c_0101_9 - 4989683/1967376779*c_1001_7^8 - 107043/13203871*c_1001_7^7 + 132597082/1967376779*c_1001_7^6 + 268653971/1967376779*c_1001_7^5 - 833657688/1967376779*c_1001_7^4 - 1431358294/1967376779*c_1001_7^3 + 1245929571/1967376779*c_1001_7^2 + 1355104830/1967376779*c_1001_7 + 1165105700/1967376779, c_1001_2 - 30937642/1967376779*c_1001_7^8 - 518010/13203871*c_1001_7^7 + 621999225/1967376779*c_1001_7^6 + 209697199/1967376779*c_1001_7^5 - 1553791051/1967376779*c_1001_7^4 - 1439069973/1967376779*c_1001_7^3 - 249033609/1967376779*c_1001_7^2 - 767286751/1967376779*c_1001_7 + 659633326/1967376779, c_1001_7^9 + 3*c_1001_7^8 - 19*c_1001_7^7 - 17*c_1001_7^6 + 53*c_1001_7^5 + 79*c_1001_7^4 + 15*c_1001_7^3 - 33*c_1001_7^2 - 76*c_1001_7 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB