Magma V2.19-8 Wed Aug 21 2013 00:53:11 on localhost [Seed = 3203967783] Type ? for help. Type -D to quit. Loading file "L12n1359__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1359 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 1 0 1 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 -1 0 1 0 0 1 -1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335384975242 0.697412899733 0 2 6 5 0132 2310 0132 0132 0 0 0 1 0 -1 0 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 -6 1 5 0 0 0 0 -5 5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331292649077 0.827527988629 5 0 3 1 0132 0132 3120 3201 1 0 0 1 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 1 0 -1 0 0 5 -5 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979369424844 1.068833453196 5 7 2 0 1302 0132 3120 0132 1 0 0 1 0 0 0 0 1 0 -1 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 6 0 -5 -1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439968293478 1.164552276397 8 9 0 5 0132 0132 0132 2103 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 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 0.213463414936 0.904853277118 2 3 1 4 0132 2031 0132 2103 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 5 -5 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331292649077 0.827527988629 10 7 8 1 0132 3201 3120 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 1 -1 0 0 0 0 -1 0 0 1 -5 6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.416952447621 1.041495551729 9 3 6 11 2103 0132 2310 0132 1 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 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206960510637 0.895744886960 4 12 6 12 0132 0132 3120 0213 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 1 -1 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 0.383143230582 0.969979189940 10 4 7 11 3201 0132 2103 3201 1 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 0 0 0 0 -1 0 1 5 0 -6 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 0.443668993204 0.517975644375 6 11 12 9 0132 2310 3201 2310 1 0 1 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 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.175800130928 1.439331665647 12 9 7 10 2310 2310 0132 3201 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 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 0.445614230305 0.498538845104 10 8 11 8 2310 0132 3201 0213 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 -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 0.383143230582 0.969979189940 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_1001_11']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_1001_11']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_1'], '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' : negation(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' : d['1'], 's_0_5' : 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_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_1001_11']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(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'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_12']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0101_6']), 'c_0101_8' : d['c_0101_8'], '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' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_12, c_0101_2, c_0101_6, c_0101_8, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 166487203135234251104/2687507888113467*c_1001_11^14 + 365175123706156165304/2687507888113467*c_1001_11^13 - 128728696440639895922/895835962704489*c_1001_11^12 - 4062808964911514928587/5375015776226934*c_1001_11^11 + 6407310794979254766347/10750031552453868*c_1001_11^10 + 9080905118070591109777/10750031552453868*c_1001_11^9 - 3611900703296585346422/2687507888113467*c_1001_11^8 - 9594440808376062552623/10750031552453868*c_1001_11^7 + 4232834187343950748603/10750031552453868*c_1001_11^6 - 1338136927883874167446/2687507888113467*c_1001_11^5 - 7831836203356672580087/10750031552453868*c_1001_11^4 - 67863327563871996805/1194447950272652*c_1001_11^3 + 510864030684002404591/10750031552453868*c_1001_11^2 - 99317268561793391767/3583343850817956*c_1001_11 - 23902714764982353023/3583343850817956, c_0011_0 - 1, c_0011_10 - 294005081922485184/298611987568163*c_1001_11^14 + 2123428470305317744/895835962704489*c_1001_11^13 - 878337863301398548/298611987568163*c_1001_11^12 - 9764066618495465627/895835962704489*c_1001_11^11 + 9803382914779676189/895835962704489*c_1001_11^10 + 9124166838549916390/895835962704489*c_1001_11^9 - 19031522063298301244/895835962704489*c_1001_11^8 - 9014149787299357591/895835962704489*c_1001_11^7 + 1728628910763855030/298611987568163*c_1001_11^6 - 2566936112938073392/298611987568163*c_1001_11^5 - 8608756284228299501/895835962704489*c_1001_11^4 - 189525859474732316/895835962704489*c_1001_11^3 + 412273174558581199/895835962704489*c_1001_11^2 - 131478961330901543/298611987568163*c_1001_11 - 19977826825822107/298611987568163, c_0011_11 + 2420006062791963520/895835962704489*c_1001_11^14 - 6290823956970011936/895835962704489*c_1001_11^13 + 2937176082952697048/298611987568163*c_1001_11^12 + 7940930420807707710/298611987568163*c_1001_11^11 - 29077355121577780664/895835962704489*c_1001_11^10 - 17713073247980470949/895835962704489*c_1001_11^9 + 49711201566342004439/895835962704489*c_1001_11^8 + 5748014352379974345/298611987568163*c_1001_11^7 - 11519969277982519316/895835962704489*c_1001_11^6 + 21111626236627299557/895835962704489*c_1001_11^5 + 19583553659005846670/895835962704489*c_1001_11^4 + 8462074765188026/895835962704489*c_1001_11^3 - 744702296497240540/895835962704489*c_1001_11^2 + 302348368938834081/298611987568163*c_1001_11 + 44094017395510944/298611987568163, c_0011_12 - 62632216752547200/298611987568163*c_1001_11^14 + 515871910886560736/895835962704489*c_1001_11^13 - 779802083618272696/895835962704489*c_1001_11^12 - 554510436849948466/298611987568163*c_1001_11^11 + 2357123539658733184/895835962704489*c_1001_11^10 + 968971047463503931/895835962704489*c_1001_11^9 - 3698744827075831018/895835962704489*c_1001_11^8 - 941408900470622383/895835962704489*c_1001_11^7 + 251952805117352828/298611987568163*c_1001_11^6 - 1631829899047117085/895835962704489*c_1001_11^5 - 1303475281473366218/895835962704489*c_1001_11^4 + 11743743892509636/298611987568163*c_1001_11^3 + 36523160303772476/895835962704489*c_1001_11^2 - 20793949552055123/298611987568163*c_1001_11 - 2491778288379114/298611987568163, c_0011_3 - 1564825566742976/298611987568163*c_1001_11^14 + 14143292969847152/895835962704489*c_1001_11^13 - 7790449731518996/298611987568163*c_1001_11^12 - 34844152321427083/895835962704489*c_1001_11^11 + 67014366575123407/895835962704489*c_1001_11^10 + 7045233434740589/895835962704489*c_1001_11^9 - 93561516872491225/895835962704489*c_1001_11^8 - 82625384771387/895835962704489*c_1001_11^7 + 6325932582230585/298611987568163*c_1001_11^6 - 15144391565519144/298611987568163*c_1001_11^5 - 21813787273962052/895835962704489*c_1001_11^4 + 7349690235827315/895835962704489*c_1001_11^3 - 1592195370106060/895835962704489*c_1001_11^2 - 549591537140744/298611987568163*c_1001_11 + 285426404412637/298611987568163, c_0101_0 - 1, c_0101_1 - 1564825566742976/298611987568163*c_1001_11^14 + 14143292969847152/895835962704489*c_1001_11^13 - 7790449731518996/298611987568163*c_1001_11^12 - 34844152321427083/895835962704489*c_1001_11^11 + 67014366575123407/895835962704489*c_1001_11^10 + 7045233434740589/895835962704489*c_1001_11^9 - 93561516872491225/895835962704489*c_1001_11^8 - 82625384771387/895835962704489*c_1001_11^7 + 6325932582230585/298611987568163*c_1001_11^6 - 15144391565519144/298611987568163*c_1001_11^5 - 21813787273962052/895835962704489*c_1001_11^4 + 7349690235827315/895835962704489*c_1001_11^3 - 1592195370106060/895835962704489*c_1001_11^2 - 549591537140744/298611987568163*c_1001_11 + 285426404412637/298611987568163, c_0101_12 - 380147743394500096/298611987568163*c_1001_11^14 + 1009900138471034880/298611987568163*c_1001_11^13 - 4382288324842417088/895835962704489*c_1001_11^12 - 3592442645614715616/298611987568163*c_1001_11^11 + 13932440863490133038/895835962704489*c_1001_11^10 + 7335907097454426196/895835962704489*c_1001_11^9 - 22954380713859817391/895835962704489*c_1001_11^8 - 7210928039644164727/895835962704489*c_1001_11^7 + 5012589974178280616/895835962704489*c_1001_11^6 - 9867326121445959571/895835962704489*c_1001_11^5 - 2908348315038989954/298611987568163*c_1001_11^4 + 12645068651409144/298611987568163*c_1001_11^3 + 310726317976578812/895835962704489*c_1001_11^2 - 135587098077674446/298611987568163*c_1001_11 - 19527621480054948/298611987568163, c_0101_2 + 3850599378275264/895835962704489*c_1001_11^14 - 7972030956199312/895835962704489*c_1001_11^13 + 8014982574401444/895835962704489*c_1001_11^12 + 47311024246364069/895835962704489*c_1001_11^11 - 29111158961614292/895835962704489*c_1001_11^10 - 59291746875674876/895835962704489*c_1001_11^9 + 74491031599910924/895835962704489*c_1001_11^8 + 72890034370464688/895835962704489*c_1001_11^7 - 20055503679606656/895835962704489*c_1001_11^6 + 22526073169518929/895835962704489*c_1001_11^5 + 54166863480237692/895835962704489*c_1001_11^4 + 2874294566745573/298611987568163*c_1001_11^3 - 1835656261922087/298611987568163*c_1001_11^2 + 1049556966479870/298611987568163*c_1001_11 + 457292455052062/298611987568163, c_0101_6 - 294005081922485184/298611987568163*c_1001_11^14 + 2123428470305317744/895835962704489*c_1001_11^13 - 878337863301398548/298611987568163*c_1001_11^12 - 9764066618495465627/895835962704489*c_1001_11^11 + 9803382914779676189/895835962704489*c_1001_11^10 + 9124166838549916390/895835962704489*c_1001_11^9 - 19031522063298301244/895835962704489*c_1001_11^8 - 9014149787299357591/895835962704489*c_1001_11^7 + 1728628910763855030/298611987568163*c_1001_11^6 - 2566936112938073392/298611987568163*c_1001_11^5 - 8608756284228299501/895835962704489*c_1001_11^4 - 189525859474732316/895835962704489*c_1001_11^3 + 412273174558581199/895835962704489*c_1001_11^2 - 131478961330901543/298611987568163*c_1001_11 - 19977826825822107/298611987568163, c_0101_8 + 8545076078504192/895835962704489*c_1001_11^14 - 7371774642015488/298611987568163*c_1001_11^13 + 31386331768958432/895835962704489*c_1001_11^12 + 27385058855930384/298611987568163*c_1001_11^11 - 32041841845579233/298611987568163*c_1001_11^10 - 66336980310415465/895835962704489*c_1001_11^9 + 56017516157467383/298611987568163*c_1001_11^8 + 24324219918412025/298611987568163*c_1001_11^7 - 39033301426298411/895835962704489*c_1001_11^6 + 67959247866076361/895835962704489*c_1001_11^5 + 25326883584733248/298611987568163*c_1001_11^4 + 1273193464409404/895835962704489*c_1001_11^3 - 3914773415660201/895835962704489*c_1001_11^2 + 1599148503620614/298611987568163*c_1001_11 + 171866050639425/298611987568163, c_1001_0 - 3850599378275264/895835962704489*c_1001_11^14 + 7972030956199312/895835962704489*c_1001_11^13 - 8014982574401444/895835962704489*c_1001_11^12 - 47311024246364069/895835962704489*c_1001_11^11 + 29111158961614292/895835962704489*c_1001_11^10 + 59291746875674876/895835962704489*c_1001_11^9 - 74491031599910924/895835962704489*c_1001_11^8 - 72890034370464688/895835962704489*c_1001_11^7 + 20055503679606656/895835962704489*c_1001_11^6 - 22526073169518929/895835962704489*c_1001_11^5 - 54166863480237692/895835962704489*c_1001_11^4 - 2874294566745573/298611987568163*c_1001_11^3 + 1835656261922087/298611987568163*c_1001_11^2 - 1049556966479870/298611987568163*c_1001_11 - 457292455052062/298611987568163, c_1001_11^15 - 7/4*c_1001_11^14 + 23/16*c_1001_11^13 + 827/64*c_1001_11^12 - 29/8*c_1001_11^11 - 35/2*c_1001_11^10 + 57/4*c_1001_11^9 + 787/32*c_1001_11^8 + 11/8*c_1001_11^7 + 149/32*c_1001_11^6 + 31/2*c_1001_11^5 + 443/64*c_1001_11^4 - 19/64*c_1001_11^3 + 7/64*c_1001_11^2 + 3/8*c_1001_11 + 3/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB