Magma V2.19-8 Tue Aug 20 2013 23:39:16 on localhost [Seed = 3785852339] Type ? for help. Type -D to quit. Loading file "K13n1591__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1591 geometric_solution 9.47100286 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 1 -17 16 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.113415944311 1.257586236881 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 -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 -16 16 0 0 0 0 0 0 1 0 -1 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155280276885 0.453519178895 8 0 7 4 0132 0132 3120 0321 0 0 0 0 0 0 0 0 1 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 -1 1 0 -16 0 17 -1 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.071798229942 0.845432718091 6 9 8 0 0132 0132 0213 0132 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 -17 17 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 0.461574625397 0.544293309648 9 2 0 5 3012 0321 0132 0132 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 -16 16 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 -0.167249625950 0.655156015772 6 1 4 8 3012 0132 0132 0213 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 16 -16 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 1.082987779274 1.018744053313 3 9 1 5 0132 0213 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.057334220563 0.716886641847 10 10 2 1 0132 1302 3120 0132 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 0 16 -16 17 0 -17 0 0 16 0 -16 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421247405690 1.320888795152 2 3 10 5 0132 0213 1023 0213 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 17 -17 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654411413951 0.837447540967 10 3 6 4 1302 0132 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191673394012 0.631114806465 7 9 8 7 0132 2031 1023 2031 0 0 0 0 0 0 -1 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 16 -16 -17 0 17 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 0.278286339601 0.635133753934 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_1001_1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_1010_8'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_4']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], '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_4']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0, c_1001_1, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 25769043656146187267/5836582480159480*c_1010_8^13 + 212524538166166383627/5836582480159480*c_1010_8^12 - 4145338507478878618/20844937429141*c_1010_8^11 + 660854209125174898716/729572810019935*c_1010_8^10 - 3780752766040765335279/1459145620039870*c_1010_8^9 + 10974295120502460979721/2918291240079740*c_1010_8^8 - 294376522356340840789/291829124007974*c_1010_8^7 - 7450481037584207755689/1459145620039870*c_1010_8^6 + 2412451128511331391115/291829124007974*c_1010_8^5 - 4148130391403139444934/729572810019935*c_1010_8^4 + 1303749757651436047161/729572810019935*c_1010_8^3 - 40753445571820386995/583658248015948*c_1010_8^2 - 521214997653810108853/5836582480159480*c_1010_8 - 96994522485614705531/5836582480159480, c_0011_0 - 1, c_0011_10 + 7641774551/36204841388*c_1010_8^13 - 60478232681/36204841388*c_1010_8^12 + 323647300941/36204841388*c_1010_8^11 - 1456287847439/36204841388*c_1010_8^10 + 3979706115523/36204841388*c_1010_8^9 - 5091473716019/36204841388*c_1010_8^8 - 221738482149/36204841388*c_1010_8^7 + 9152557838505/36204841388*c_1010_8^6 - 11347668694749/36204841388*c_1010_8^5 + 5564283686045/36204841388*c_1010_8^4 - 451818045143/36204841388*c_1010_8^3 - 632492303115/36204841388*c_1010_8^2 + 114329806881/18102420694*c_1010_8 + 21717064623/18102420694, c_0011_4 + 2861829055/18102420694*c_1010_8^13 - 40487689981/36204841388*c_1010_8^12 + 52106771136/9051210347*c_1010_8^11 - 457110627041/18102420694*c_1010_8^10 + 1100575298989/18102420694*c_1010_8^9 - 476139105402/9051210347*c_1010_8^8 - 1021188387347/18102420694*c_1010_8^7 + 1468006221570/9051210347*c_1010_8^6 - 2137849874081/18102420694*c_1010_8^5 - 12857756397/9051210347*c_1010_8^4 + 374117682167/9051210347*c_1010_8^3 - 239829467037/18102420694*c_1010_8^2 - 60662628571/18102420694*c_1010_8 + 26556228871/36204841388, c_0101_0 + 1372636699/36204841388*c_1010_8^13 - 11267235483/36204841388*c_1010_8^12 + 61148475149/36204841388*c_1010_8^11 - 280060197303/36204841388*c_1010_8^10 + 799962586407/36204841388*c_1010_8^9 - 1169895251445/36204841388*c_1010_8^8 + 471475017635/36204841388*c_1010_8^7 + 1166568026779/36204841388*c_1010_8^6 - 2397934199969/36204841388*c_1010_8^5 + 2323400498173/36204841388*c_1010_8^4 - 1225664655583/36204841388*c_1010_8^3 + 205915936103/36204841388*c_1010_8^2 + 18129324787/18102420694*c_1010_8 - 8453336083/18102420694, c_0101_1 - 12831255/200026748*c_1010_8^13 + 21111398/50006687*c_1010_8^12 - 431440001/200026748*c_1010_8^11 + 1877597865/200026748*c_1010_8^10 - 4213284091/200026748*c_1010_8^9 + 3081434099/200026748*c_1010_8^8 + 4048620483/200026748*c_1010_8^7 - 9891022283/200026748*c_1010_8^6 + 7705261127/200026748*c_1010_8^5 - 1733389365/200026748*c_1010_8^4 - 1938750271/200026748*c_1010_8^3 + 1760672905/200026748*c_1010_8^2 - 93074363/100013374*c_1010_8 - 74549865/200026748, c_0101_2 + 1834525252/9051210347*c_1010_8^13 - 54587630999/36204841388*c_1010_8^12 + 143094489957/18102420694*c_1010_8^11 - 318023453734/9051210347*c_1010_8^10 + 816456406080/9051210347*c_1010_8^9 - 888331977711/9051210347*c_1010_8^8 - 690413162195/18102420694*c_1010_8^7 + 3853686068363/18102420694*c_1010_8^6 - 1909376446235/9051210347*c_1010_8^5 + 1359955404233/18102420694*c_1010_8^4 + 22150744771/18102420694*c_1010_8^3 - 37089757205/18102420694*c_1010_8^2 - 20556799765/9051210347*c_1010_8 - 9640685477/36204841388, c_0101_5 - 4454522233/36204841388*c_1010_8^13 + 31958497587/36204841388*c_1010_8^12 - 162628722867/36204841388*c_1010_8^11 + 711671807481/36204841388*c_1010_8^10 - 1704297843291/36204841388*c_1010_8^9 + 1313970164319/36204841388*c_1010_8^8 + 2079094105001/36204841388*c_1010_8^7 - 4836992755473/36204841388*c_1010_8^6 + 2636513446823/36204841388*c_1010_8^5 + 969434282009/36204841388*c_1010_8^4 - 1337223518801/36204841388*c_1010_8^3 + 300472244895/36204841388*c_1010_8^2 + 11958090709/9051210347*c_1010_8 - 4464051343/9051210347, c_0101_7 - 3925919735/36204841388*c_1010_8^13 + 32858571469/36204841388*c_1010_8^12 - 179681662229/36204841388*c_1010_8^11 + 818209502289/36204841388*c_1010_8^10 - 2355904308211/36204841388*c_1010_8^9 + 3416317843873/36204841388*c_1010_8^8 - 741729679315/36204841388*c_1010_8^7 - 5089786011485/36204841388*c_1010_8^6 + 7713986051561/36204841388*c_1010_8^5 - 4591366542447/36204841388*c_1010_8^4 + 843882988483/36204841388*c_1010_8^3 + 232273453653/36204841388*c_1010_8^2 - 58557965079/18102420694*c_1010_8 - 6739380649/18102420694, c_1001_0 - 4318580913/36204841388*c_1010_8^13 + 7821529721/9051210347*c_1010_8^12 - 82069367639/18102420694*c_1010_8^11 + 182102504531/9051210347*c_1010_8^10 - 460076797829/9051210347*c_1010_8^9 + 498220469404/9051210347*c_1010_8^8 + 311051253291/18102420694*c_1010_8^7 - 999156080417/9051210347*c_1010_8^6 + 1078046205566/9051210347*c_1010_8^5 - 1076106920355/18102420694*c_1010_8^4 + 226615076527/18102420694*c_1010_8^3 + 66039818511/18102420694*c_1010_8^2 - 82147624055/36204841388*c_1010_8 - 11576898239/18102420694, c_1001_1 - 2976386529/36204841388*c_1010_8^13 + 19435146889/36204841388*c_1010_8^12 - 95626001301/36204841388*c_1010_8^11 + 410222862309/36204841388*c_1010_8^10 - 855222505011/36204841388*c_1010_8^9 + 241686970739/36204841388*c_1010_8^8 + 1757328267745/36204841388*c_1010_8^7 - 2327534545623/36204841388*c_1010_8^6 + 202566538181/36204841388*c_1010_8^5 + 1223597399677/36204841388*c_1010_8^4 - 586045884161/36204841388*c_1010_8^3 + 35256601895/36204841388*c_1010_8^2 + 769443799/9051210347*c_1010_8 + 1422804403/9051210347, c_1010_8^14 - 8*c_1010_8^13 + 43*c_1010_8^12 - 194*c_1010_8^11 + 536*c_1010_8^10 - 706*c_1010_8^9 + 16*c_1010_8^8 + 1216*c_1010_8^7 - 1588*c_1010_8^6 + 822*c_1010_8^5 - 80*c_1010_8^4 - 90*c_1010_8^3 + 27*c_1010_8^2 + 8*c_1010_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB