Magma V2.19-8 Wed Aug 21 2013 00:55:01 on localhost [Seed = 1528643900] Type ? for help. Type -D to quit. Loading file "L12n879__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n879 geometric_solution 12.14514173 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 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 0.979369424844 1.068833453196 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 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 0.331292649077 0.827527988629 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 0.335384975242 0.697412899733 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335384975242 0.697412899733 1 7 0 2 2310 0132 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 0.331292649077 0.827527988629 2 8 1 9 3120 0132 0132 0132 1 1 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 -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 0.753029071751 1.046888778789 7 3 8 10 3120 0132 2103 0132 0 1 1 0 0 0 0 0 -1 0 0 1 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 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 0.458194815144 0.336784669520 11 4 9 6 0132 0132 3201 3120 0 1 1 1 0 -1 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 -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 0.534263109797 0.396502988022 6 5 12 12 2103 0132 2103 0132 1 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 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 0.466830547908 0.734069785967 7 10 5 11 2310 2310 0132 3201 1 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 0 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962838628253 0.896457240035 11 12 6 9 2103 3120 0132 3201 0 1 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.083611572327 0.684554573594 7 9 10 12 0132 2310 2103 0213 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 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 0 0 0.003352154708 1.115017501634 8 10 8 11 2103 3120 0132 0213 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 0 0 0 0 0 0 0 0 0 0 1 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 0.383143230582 0.969979189940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : 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' : 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_12' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_11']), '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_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_1001_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'], 'c_1100_12' : d['c_0101_7'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], '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_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0011_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], '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_0101_9'], 'c_0101_8' : d['c_0011_9'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0011_9'], '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_9'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : d['c_0101_7']})} 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_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 16209132437233587075/45065931118003631*c_1001_10^14 + 1989770498792385676001/811186760124065358*c_1001_10^13 - 2618805309396345706957/540791173416043572*c_1001_10^12 - 6671582808684373267939/3244747040496261432*c_1001_10^11 + 47990159204168974647559/3244747040496261432*c_1001_10^10 - 8646813369918524696771/3244747040496261432*c_1001_10^9 - 24109823460738424337285/1081582346832087144*c_1001_10^8 + 24733612300716134559803/3244747040496261432*c_1001_10^7 + 7381011906176262911605/540791173416043572*c_1001_10^6 + 1560257624021947739/45065931118003631*c_1001_10^5 - 11416839662265245351267/1622373520248130716*c_1001_10^4 - 5348096875899675185401/3244747040496261432*c_1001_10^3 + 398773124351286058527/180263724472014524*c_1001_10^2 + 9481795141317628937299/3244747040496261432*c_1001_10 - 1807696812193452473911/811186760124065358, c_0011_0 - 1, c_0011_10 + 10310063495457580/135197793354010893*c_1001_10^14 - 56280071129068090/135197793354010893*c_1001_10^13 + 21754935948394657/45065931118003631*c_1001_10^12 + 82628427137869813/90131862236007262*c_1001_10^11 - 399976564902825193/270395586708021786*c_1001_10^10 - 115572462675195599/90131862236007262*c_1001_10^9 + 358403264213108663/270395586708021786*c_1001_10^8 + 110002467770443117/270395586708021786*c_1001_10^7 + 279490671916568390/135197793354010893*c_1001_10^6 + 42162611799690046/45065931118003631*c_1001_10^5 - 384849083482898296/135197793354010893*c_1001_10^4 - 136168804059551651/90131862236007262*c_1001_10^3 + 150328473413312684/135197793354010893*c_1001_10^2 + 75768131678027461/270395586708021786*c_1001_10 + 1465975413895307/45065931118003631, c_0011_11 - 10562697026480476/135197793354010893*c_1001_10^14 + 26017895912587814/45065931118003631*c_1001_10^13 - 188917102792977487/135197793354010893*c_1001_10^12 + 100900491860371397/270395586708021786*c_1001_10^11 + 878723253148587053/270395586708021786*c_1001_10^10 - 271358843737087039/90131862236007262*c_1001_10^9 - 996220717440755645/270395586708021786*c_1001_10^8 + 491881503816485465/90131862236007262*c_1001_10^7 + 37298723856842209/45065931118003631*c_1001_10^6 - 379927306695922171/135197793354010893*c_1001_10^5 - 132254666057283049/135197793354010893*c_1001_10^4 + 149643956188611997/90131862236007262*c_1001_10^3 + 79880652782957176/135197793354010893*c_1001_10^2 + 120061607963668399/270395586708021786*c_1001_10 - 54445527810541363/45065931118003631, c_0011_12 + 14293088831650108/135197793354010893*c_1001_10^14 - 33243123507379398/45065931118003631*c_1001_10^13 + 217054518510283783/135197793354010893*c_1001_10^12 + 8346458378721955/270395586708021786*c_1001_10^11 - 1119451153917587069/270395586708021786*c_1001_10^10 + 221760201017758621/90131862236007262*c_1001_10^9 + 1437367070632541813/270395586708021786*c_1001_10^8 - 452798020201211709/90131862236007262*c_1001_10^7 - 105811368767141912/45065931118003631*c_1001_10^6 + 301633880196772297/135197793354010893*c_1001_10^5 + 271486781992719391/135197793354010893*c_1001_10^4 + 12613729584023531/90131862236007262*c_1001_10^3 - 139904391101541223/135197793354010893*c_1001_10^2 - 140256967611684463/270395586708021786*c_1001_10 + 40351292212080841/45065931118003631, c_0011_3 - 10562697026480476/135197793354010893*c_1001_10^14 + 26017895912587814/45065931118003631*c_1001_10^13 - 188917102792977487/135197793354010893*c_1001_10^12 + 100900491860371397/270395586708021786*c_1001_10^11 + 878723253148587053/270395586708021786*c_1001_10^10 - 271358843737087039/90131862236007262*c_1001_10^9 - 996220717440755645/270395586708021786*c_1001_10^8 + 491881503816485465/90131862236007262*c_1001_10^7 + 37298723856842209/45065931118003631*c_1001_10^6 - 379927306695922171/135197793354010893*c_1001_10^5 - 132254666057283049/135197793354010893*c_1001_10^4 + 149643956188611997/90131862236007262*c_1001_10^3 + 79880652782957176/135197793354010893*c_1001_10^2 - 150333978744353387/270395586708021786*c_1001_10 - 54445527810541363/45065931118003631, c_0011_5 + 9396157065640348/135197793354010893*c_1001_10^14 - 24733856599157414/45065931118003631*c_1001_10^13 + 193155549232311103/135197793354010893*c_1001_10^12 - 138491205758965637/270395586708021786*c_1001_10^11 - 924363575683393541/270395586708021786*c_1001_10^10 + 308099442431445111/90131862236007262*c_1001_10^9 + 1133043380783811707/270395586708021786*c_1001_10^8 - 544036420420566759/90131862236007262*c_1001_10^7 - 75918684201478966/45065931118003631*c_1001_10^6 + 440441861371907809/135197793354010893*c_1001_10^5 + 249773292947086225/135197793354010893*c_1001_10^4 - 156245470816696577/90131862236007262*c_1001_10^3 - 188056070362885357/135197793354010893*c_1001_10^2 + 61321494976915919/270395586708021786*c_1001_10 + 38601482270820649/45065931118003631, c_0011_9 - 44553095610433856/135197793354010893*c_1001_10^14 + 95057200172225136/45065931118003631*c_1001_10^13 - 490194519559059344/135197793354010893*c_1001_10^12 - 395219837507107024/135197793354010893*c_1001_10^11 + 1540072584483748868/135197793354010893*c_1001_10^10 + 98594340692770399/45065931118003631*c_1001_10^9 - 2381733556381698344/135197793354010893*c_1001_10^8 - 30195577806358631/45065931118003631*c_1001_10^7 + 475725941027576296/45065931118003631*c_1001_10^6 + 592567386623274367/135197793354010893*c_1001_10^5 - 652203407132259869/135197793354010893*c_1001_10^4 - 85073210560212570/45065931118003631*c_1001_10^3 + 69371012219604602/135197793354010893*c_1001_10^2 + 279229485865946200/135197793354010893*c_1001_10 - 45377991856923129/45065931118003631, c_0101_0 + 10562697026480476/135197793354010893*c_1001_10^14 - 26017895912587814/45065931118003631*c_1001_10^13 + 188917102792977487/135197793354010893*c_1001_10^12 - 100900491860371397/270395586708021786*c_1001_10^11 - 878723253148587053/270395586708021786*c_1001_10^10 + 271358843737087039/90131862236007262*c_1001_10^9 + 996220717440755645/270395586708021786*c_1001_10^8 - 491881503816485465/90131862236007262*c_1001_10^7 - 37298723856842209/45065931118003631*c_1001_10^6 + 379927306695922171/135197793354010893*c_1001_10^5 + 132254666057283049/135197793354010893*c_1001_10^4 - 149643956188611997/90131862236007262*c_1001_10^3 - 79880652782957176/135197793354010893*c_1001_10^2 + 150333978744353387/270395586708021786*c_1001_10 + 54445527810541363/45065931118003631, c_0101_1 - 1, c_0101_10 + 6062722737864416/12290708486728263*c_1001_10^14 - 39277370444925536/12290708486728263*c_1001_10^13 + 23063654923671640/4096902828909421*c_1001_10^12 + 17757347894111436/4096902828909421*c_1001_10^11 - 226932861092017864/12290708486728263*c_1001_10^10 - 5233956756772545/4096902828909421*c_1001_10^9 + 348670071282276701/12290708486728263*c_1001_10^8 - 41116135838709458/12290708486728263*c_1001_10^7 - 202682227680337682/12290708486728263*c_1001_10^6 - 12892465675553747/4096902828909421*c_1001_10^5 + 77395539982782901/12290708486728263*c_1001_10^4 + 11596149557867336/4096902828909421*c_1001_10^3 - 9911455332554183/12290708486728263*c_1001_10^2 - 41078849872101248/12290708486728263*c_1001_10 + 6944949135622509/4096902828909421, c_0101_7 + 64062083702707016/135197793354010893*c_1001_10^14 - 432362194503938252/135197793354010893*c_1001_10^13 + 280909402009833534/45065931118003631*c_1001_10^12 + 121454089004499283/45065931118003631*c_1001_10^11 - 2515862910406300033/135197793354010893*c_1001_10^10 + 117471861096251143/45065931118003631*c_1001_10^9 + 3827514964579962068/135197793354010893*c_1001_10^8 - 1121778684891741410/135197793354010893*c_1001_10^7 - 2449787792190046619/135197793354010893*c_1001_10^6 - 82930650864027213/45065931118003631*c_1001_10^5 + 1509730497984612352/135197793354010893*c_1001_10^4 + 148041096882473186/45065931118003631*c_1001_10^3 - 439513639593917609/135197793354010893*c_1001_10^2 - 571956661769529158/135197793354010893*c_1001_10 + 128433724173979635/45065931118003631, c_0101_9 + c_1001_10, c_1001_10^15 - 15/2*c_1001_10^14 + 73/4*c_1001_10^13 - 35/8*c_1001_10^12 - 347/8*c_1001_10^11 + 291/8*c_1001_10^10 + 419/8*c_1001_10^9 - 507/8*c_1001_10^8 - 18*c_1001_10^7 + 25*c_1001_10^6 + 73/4*c_1001_10^5 - 81/8*c_1001_10^4 - 17/2*c_1001_10^3 - 25/8*c_1001_10^2 + 45/4*c_1001_10 - 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB