Magma V2.19-8 Tue Aug 20 2013 23:45:25 on localhost [Seed = 3903753505] Type ? for help. Type -D to quit. Loading file "K13n2951__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2951 geometric_solution 10.67815703 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1230 0132 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 1 0 -1 -1 0 0 1 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506042912955 0.492602044974 0 4 5 2 0132 0132 0132 3012 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 1 0 0 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807417470662 0.408019159602 6 0 1 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1.015014287078 1.012229860865 7 4 0 8 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 -4 0 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312904341562 1.446187565464 3 1 9 10 1230 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.194774637093 0.806335218444 7 10 6 1 3120 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.194774637093 0.806335218444 2 5 11 9 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.655873216956 0.379061793633 3 8 11 5 0132 2031 0213 3120 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 0 0 4 -4 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341747914083 0.847400801371 7 9 3 10 1302 2031 0132 2103 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 0 1 -1 1 0 -1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346779499369 0.510545272944 8 6 11 4 1302 2310 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.571705119906 0.735984567496 11 5 4 8 0213 0132 0132 2103 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 0 0 0 0 0 0 0 0 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235868057577 0.727309812307 10 7 9 6 0213 0213 0321 0132 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 1 -1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950341421656 0.742769585524 ==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' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0110_8']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_9']), 'c_1001_8' : negation(d['c_0101_4']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0011_9']), '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_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_8']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0110_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : d['1'], 's_1_4' : negation(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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_9, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 48655087547349471/3108269838307984*c_1001_1^15 - 69718968567516477/388533729788498*c_1001_1^14 - 1551971275414602431/1554134919153992*c_1001_1^13 - 5593502205691948437/1554134919153992*c_1001_1^12 - 29208455054552364845/3108269838307984*c_1001_1^11 - 4272881045118032521/222019274164856*c_1001_1^10 - 51075557063311270947/1554134919153992*c_1001_1^9 - 73970396832409008775/1554134919153992*c_1001_1^8 - 22465923604861526639/388533729788498*c_1001_1^7 - 11517035123177177274/194266864894249*c_1001_1^6 - 165819950185312864075/3108269838307984*c_1001_1^5 - 8048455536504228878/194266864894249*c_1001_1^4 - 10055089407182253673/388533729788498*c_1001_1^3 - 23399858118698435151/1554134919153992*c_1001_1^2 - 17710045709095341069/3108269838307984*c_1001_1 - 645127602654004051/777067459576996, c_0011_0 - 1, c_0011_10 + 615916740163/7929259791602*c_1001_1^15 + 10530819834247/15858519583204*c_1001_1^14 + 46919926035433/15858519583204*c_1001_1^13 + 138359779553235/15858519583204*c_1001_1^12 + 300558053660613/15858519583204*c_1001_1^11 + 267100276921883/7929259791602*c_1001_1^10 + 401519646959787/7929259791602*c_1001_1^9 + 250127189044697/3964629895801*c_1001_1^8 + 512264579012029/7929259791602*c_1001_1^7 + 460874649207347/7929259791602*c_1001_1^6 + 183991371744369/3964629895801*c_1001_1^5 + 412256238441345/15858519583204*c_1001_1^4 + 274435757300255/15858519583204*c_1001_1^3 + 66506512973051/15858519583204*c_1001_1^2 - 657821334279/15858519583204*c_1001_1 - 6734703037019/7929259791602, c_0011_11 - 1038622083605/15858519583204*c_1001_1^15 - 9196056388299/15858519583204*c_1001_1^14 - 42186276414019/15858519583204*c_1001_1^13 - 127989841801231/15858519583204*c_1001_1^12 - 71373254110095/3964629895801*c_1001_1^11 - 129216751131556/3964629895801*c_1001_1^10 - 197495931413691/3964629895801*c_1001_1^9 - 503022932423433/7929259791602*c_1001_1^8 - 526577543548643/7929259791602*c_1001_1^7 - 474629951859857/7929259791602*c_1001_1^6 - 756271248408331/15858519583204*c_1001_1^5 - 444984903820333/15858519583204*c_1001_1^4 - 261901487794011/15858519583204*c_1001_1^3 - 74660657759495/15858519583204*c_1001_1^2 - 946214460397/3964629895801*c_1001_1 + 6926219999407/7929259791602, c_0011_9 + 1038622083605/15858519583204*c_1001_1^15 + 9196056388299/15858519583204*c_1001_1^14 + 42186276414019/15858519583204*c_1001_1^13 + 127989841801231/15858519583204*c_1001_1^12 + 71373254110095/3964629895801*c_1001_1^11 + 129216751131556/3964629895801*c_1001_1^10 + 197495931413691/3964629895801*c_1001_1^9 + 503022932423433/7929259791602*c_1001_1^8 + 526577543548643/7929259791602*c_1001_1^7 + 474629951859857/7929259791602*c_1001_1^6 + 756271248408331/15858519583204*c_1001_1^5 + 444984903820333/15858519583204*c_1001_1^4 + 261901487794011/15858519583204*c_1001_1^3 + 74660657759495/15858519583204*c_1001_1^2 + 946214460397/3964629895801*c_1001_1 - 6926219999407/7929259791602, c_0101_0 - 421325463514/3964629895801*c_1001_1^15 - 13401956033289/15858519583204*c_1001_1^14 - 55680792549073/15858519583204*c_1001_1^13 - 151971878008393/15858519583204*c_1001_1^12 - 303639227072777/15858519583204*c_1001_1^11 - 126049267142301/3964629895801*c_1001_1^10 - 354187745229825/7929259791602*c_1001_1^9 - 199645830569091/3964629895801*c_1001_1^8 - 357269274622181/7929259791602*c_1001_1^7 - 294719057268095/7929259791602*c_1001_1^6 - 210494163689853/7929259791602*c_1001_1^5 - 96838045506267/15858519583204*c_1001_1^4 - 133150745548935/15858519583204*c_1001_1^3 + 63745750125599/15858519583204*c_1001_1^2 + 34545436485771/15858519583204*c_1001_1 + 3273880006039/3964629895801, c_0101_1 - 197946766168/3964629895801*c_1001_1^15 - 6942182323363/15858519583204*c_1001_1^14 - 31626394855135/15858519583204*c_1001_1^13 - 95606974914781/15858519583204*c_1001_1^12 - 213590928890945/15858519583204*c_1001_1^11 - 97541520645632/3964629895801*c_1001_1^10 - 301936143328441/7929259791602*c_1001_1^9 - 194915459446270/3964629895801*c_1001_1^8 - 416155748720485/7929259791602*c_1001_1^7 - 386243913559161/7929259791602*c_1001_1^6 - 313761191826133/7929259791602*c_1001_1^5 - 364210252071685/15858519583204*c_1001_1^4 - 214536163999037/15858519583204*c_1001_1^3 - 63923808745189/15858519583204*c_1001_1^2 - 3300765484925/15858519583204*c_1001_1 + 5007873435436/3964629895801, c_0101_2 + 197946766168/3964629895801*c_1001_1^15 + 6942182323363/15858519583204*c_1001_1^14 + 31626394855135/15858519583204*c_1001_1^13 + 95606974914781/15858519583204*c_1001_1^12 + 213590928890945/15858519583204*c_1001_1^11 + 97541520645632/3964629895801*c_1001_1^10 + 301936143328441/7929259791602*c_1001_1^9 + 194915459446270/3964629895801*c_1001_1^8 + 416155748720485/7929259791602*c_1001_1^7 + 386243913559161/7929259791602*c_1001_1^6 + 313761191826133/7929259791602*c_1001_1^5 + 364210252071685/15858519583204*c_1001_1^4 + 214536163999037/15858519583204*c_1001_1^3 + 63923808745189/15858519583204*c_1001_1^2 + 3300765484925/15858519583204*c_1001_1 - 5007873435436/3964629895801, c_0101_4 - 533927172889/15858519583204*c_1001_1^15 - 1142766371758/3964629895801*c_1001_1^14 - 10098718491727/7929259791602*c_1001_1^13 - 14633911007155/3964629895801*c_1001_1^12 - 123846199355039/15858519583204*c_1001_1^11 - 53381189400242/3964629895801*c_1001_1^10 - 156440145005839/7929259791602*c_1001_1^9 - 189048798657201/7929259791602*c_1001_1^8 - 91986926952402/3964629895801*c_1001_1^7 - 79321175112690/3964629895801*c_1001_1^6 - 254216163382377/15858519583204*c_1001_1^5 - 33863741262086/3964629895801*c_1001_1^4 - 19795477930744/3964629895801*c_1001_1^3 - 5319444986453/3964629895801*c_1001_1^2 + 7161083786937/15858519583204*c_1001_1 + 4565160462695/7929259791602, c_0101_5 - 533927172889/15858519583204*c_1001_1^15 - 1142766371758/3964629895801*c_1001_1^14 - 10098718491727/7929259791602*c_1001_1^13 - 14633911007155/3964629895801*c_1001_1^12 - 123846199355039/15858519583204*c_1001_1^11 - 53381189400242/3964629895801*c_1001_1^10 - 156440145005839/7929259791602*c_1001_1^9 - 189048798657201/7929259791602*c_1001_1^8 - 91986926952402/3964629895801*c_1001_1^7 - 79321175112690/3964629895801*c_1001_1^6 - 254216163382377/15858519583204*c_1001_1^5 - 33863741262086/3964629895801*c_1001_1^4 - 19795477930744/3964629895801*c_1001_1^3 - 5319444986453/3964629895801*c_1001_1^2 + 7161083786937/15858519583204*c_1001_1 + 4565160462695/7929259791602, c_0101_6 - c_1001_1, c_0110_8 - 615916740163/7929259791602*c_1001_1^15 - 10530819834247/15858519583204*c_1001_1^14 - 46919926035433/15858519583204*c_1001_1^13 - 138359779553235/15858519583204*c_1001_1^12 - 300558053660613/15858519583204*c_1001_1^11 - 267100276921883/7929259791602*c_1001_1^10 - 401519646959787/7929259791602*c_1001_1^9 - 250127189044697/3964629895801*c_1001_1^8 - 512264579012029/7929259791602*c_1001_1^7 - 460874649207347/7929259791602*c_1001_1^6 - 183991371744369/3964629895801*c_1001_1^5 - 412256238441345/15858519583204*c_1001_1^4 - 274435757300255/15858519583204*c_1001_1^3 - 66506512973051/15858519583204*c_1001_1^2 + 657821334279/15858519583204*c_1001_1 + 6734703037019/7929259791602, c_1001_1^16 + 9*c_1001_1^15 + 42*c_1001_1^14 + 130*c_1001_1^13 + 297*c_1001_1^12 + 551*c_1001_1^11 + 864*c_1001_1^10 + 1136*c_1001_1^9 + 1242*c_1001_1^8 + 1176*c_1001_1^7 + 985*c_1001_1^6 + 645*c_1001_1^5 + 404*c_1001_1^4 + 172*c_1001_1^3 + 41*c_1001_1^2 - 3*c_1001_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB