Magma V2.19-8 Tue Aug 20 2013 23:53:15 on localhost [Seed = 4173239057] Type ? for help. Type -D to quit. Loading file "K12n362__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n362 geometric_solution 12.27991881 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 1 -1 0 1 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 -0.025913182108 0.941636985154 0 5 6 6 0132 0132 2103 0132 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 0 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444951515147 0.749045377833 4 0 8 7 1302 0132 0132 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 0 -1 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 0.418251301655 0.914222119569 4 9 10 0 0132 0132 0132 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 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018394388571 1.256132124438 3 2 0 10 0132 2031 0132 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184927246997 1.096788247430 10 1 11 7 1230 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703038782597 0.634017865852 1 8 1 11 2103 3201 0132 0132 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 4 0 -3 -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 0.413805376115 0.986818470292 12 11 2 5 0132 3012 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.338251527826 0.429096254692 9 12 6 2 0321 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808349784144 0.765203675576 8 3 11 12 0321 0132 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.364017142469 1.031955524834 12 5 4 3 2031 3012 0132 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 1 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 -0.094630381792 0.753815378874 7 9 6 5 1230 1230 0132 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 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 0.378874659809 0.637177431283 7 9 10 8 0132 1302 1302 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 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 1.063694357179 0.808505192461 ==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_0011_0']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_1001_11']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : 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_11'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : 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_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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : 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'], 'c_1100_12' : negation(d['c_0011_8']), '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' : 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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_0011_12']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), '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_0011_8']), 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_11']})} 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_6, c_0011_8, c_0101_0, c_0101_11, c_0101_7, c_0101_8, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 60848332235873537595/34111170666177418*c_1100_0^13 - 9748225858090539201/34111170666177418*c_1100_0^12 + 496804801335016013889/34111170666177418*c_1100_0^11 - 781050503334977072169/17055585333088709*c_1100_0^10 - 3630671100350460929483/34111170666177418*c_1100_0^9 + 2720291200248656334746/17055585333088709*c_1100_0^8 - 5433663454098564467394/17055585333088709*c_1100_0^7 + 5150470860277938144/23141906829157*c_1100_0^6 - 6879244698211459091127/34111170666177418*c_1100_0^5 + 1100501159349446820962/17055585333088709*c_1100_0^4 - 1774790542944762626619/34111170666177418*c_1100_0^3 + 365921616676101430029/34111170666177418*c_1100_0^2 - 296917367406346026557/34111170666177418*c_1100_0 - 11335982219449444939/17055585333088709, c_0011_0 - 1, c_0011_10 + 119688973114/292935529483*c_1100_0^13 + 96920537338/292935529483*c_1100_0^12 - 928070082758/292935529483*c_1100_0^11 + 2453728980851/292935529483*c_1100_0^10 + 8820916107056/292935529483*c_1100_0^9 - 5224822422042/292935529483*c_1100_0^8 + 17014217362788/292935529483*c_1100_0^7 - 4041964825341/292935529483*c_1100_0^6 + 7920378945597/292935529483*c_1100_0^5 + 1976135842825/292935529483*c_1100_0^4 + 1938860870897/292935529483*c_1100_0^3 + 1171029783205/292935529483*c_1100_0^2 + 241116577913/292935529483*c_1100_0 + 31472395091/292935529483, c_0011_11 - 295647613548/292935529483*c_1100_0^13 - 163625447543/292935529483*c_1100_0^12 + 2362056410877/292935529483*c_1100_0^11 - 6636437717935/292935529483*c_1100_0^10 - 20317271714692/292935529483*c_1100_0^9 + 18599214864392/292935529483*c_1100_0^8 - 44427970540195/292935529483*c_1100_0^7 + 20349213815049/292935529483*c_1100_0^6 - 22927298902459/292935529483*c_1100_0^5 + 1824163709732/292935529483*c_1100_0^4 - 5585051696920/292935529483*c_1100_0^3 - 134570928290/292935529483*c_1100_0^2 - 728773343735/292935529483*c_1100_0 - 118161364956/292935529483, c_0011_12 - 57367275298/292935529483*c_1100_0^13 + 34758150345/292935529483*c_1100_0^12 + 509042007854/292935529483*c_1100_0^11 - 1803983579955/292935529483*c_1100_0^10 - 2567160581896/292935529483*c_1100_0^9 + 8421343179821/292935529483*c_1100_0^8 - 11600843325229/292935529483*c_1100_0^7 + 13380420748702/292935529483*c_1100_0^6 - 8241878399800/292935529483*c_1100_0^5 + 5955714555610/292935529483*c_1100_0^4 - 2210568710212/292935529483*c_1100_0^3 + 2066061171253/292935529483*c_1100_0^2 - 368372285243/292935529483*c_1100_0 + 445190702258/292935529483, c_0011_3 + 398404190847/292935529483*c_1100_0^13 - 27797993191/292935529483*c_1100_0^12 - 3325302880198/292935529483*c_1100_0^11 + 10928889037125/292935529483*c_1100_0^10 + 21891011576246/292935529483*c_1100_0^9 - 42242223010614/292935529483*c_1100_0^8 + 74900829040489/292935529483*c_1100_0^7 - 63190666502672/292935529483*c_1100_0^6 + 50274112011496/292935529483*c_1100_0^5 - 23121063660989/292935529483*c_1100_0^4 + 13116568288924/292935529483*c_1100_0^3 - 5945066689097/292935529483*c_1100_0^2 + 2061186187221/292935529483*c_1100_0 - 313207615238/292935529483, c_0011_6 + 39850869700/292935529483*c_1100_0^13 + 159512307266/292935529483*c_1100_0^12 - 218983093246/292935529483*c_1100_0^11 - 170143915813/292935529483*c_1100_0^10 + 5629212309396/292935529483*c_1100_0^9 + 7289621687335/292935529483*c_1100_0^8 - 414915900845/292935529483*c_1100_0^7 + 17409155524099/292935529483*c_1100_0^6 - 5630904837451/292935529483*c_1100_0^5 + 13682341778480/292935529483*c_1100_0^4 - 1425119080638/292935529483*c_1100_0^3 + 4705196478616/292935529483*c_1100_0^2 - 28318449026/292935529483*c_1100_0 + 680329313521/292935529483, c_0011_8 + 11931120173/292935529483*c_1100_0^13 + 73807273129/292935529483*c_1100_0^12 - 63113270626/292935529483*c_1100_0^11 - 266844326022/292935529483*c_1100_0^10 + 2377020752534/292935529483*c_1100_0^9 + 3718414369562/292935529483*c_1100_0^8 - 2715664265740/292935529483*c_1100_0^7 + 10074287120804/292935529483*c_1100_0^6 - 4341066307538/292935529483*c_1100_0^5 + 5751367350196/292935529483*c_1100_0^4 - 209648939742/292935529483*c_1100_0^3 + 1524853952284/292935529483*c_1100_0^2 + 288223566162/292935529483*c_1100_0 + 243806140451/292935529483, c_0101_0 - 164186292948/292935529483*c_1100_0^13 - 131174548427/292935529483*c_1100_0^12 + 1315912803171/292935529483*c_1100_0^11 - 3335003331049/292935529483*c_1100_0^10 - 12402783662339/292935529483*c_1100_0^9 + 8026411289392/292935529483*c_1100_0^8 - 19923047800539/292935529483*c_1100_0^7 + 4360504098492/292935529483*c_1100_0^6 - 7857381969960/292935529483*c_1100_0^5 - 1812831927996/292935529483*c_1100_0^4 - 2665436525598/292935529483*c_1100_0^3 - 842574379771/292935529483*c_1100_0^2 - 49224468209/292935529483*c_1100_0 - 307668080144/292935529483, c_0101_11 - 181765860486/292935529483*c_1100_0^13 + 24277925626/292935529483*c_1100_0^12 + 1548108569391/292935529483*c_1100_0^11 - 5081517319267/292935529483*c_1100_0^10 - 9943870927812/292935529483*c_1100_0^9 + 20745950466649/292935529483*c_1100_0^8 - 33479092370824/292935529483*c_1100_0^7 + 27649137036044/292935529483*c_1100_0^6 - 19853324698413/292935529483*c_1100_0^5 + 8271255252348/292935529483*c_1100_0^4 - 4018275830741/292935529483*c_1100_0^3 + 1897005030098/292935529483*c_1100_0^2 - 541007604840/292935529483*c_1100_0 + 149197190571/292935529483, c_0101_7 - 109208748395/292935529483*c_1100_0^13 - 140798417371/292935529483*c_1100_0^12 + 846842021994/292935529483*c_1100_0^11 - 1794542235087/292935529483*c_1100_0^10 - 9452056386212/292935529483*c_1100_0^9 + 1725760089285/292935529483*c_1100_0^8 - 10010775582982/292935529483*c_1100_0^7 - 5245551187630/292935529483*c_1100_0^6 - 284032827295/292935529483*c_1100_0^5 - 7383546663200/292935529483*c_1100_0^4 + 593768388830/292935529483*c_1100_0^3 - 2491177485864/292935529483*c_1100_0^2 + 303674104150/292935529483*c_1100_0 - 448806509762/292935529483, c_0101_8 - 65805233131/292935529483*c_1100_0^13 - 186680117356/292935529483*c_1100_0^12 + 435029053302/292935529483*c_1100_0^11 - 283561810894/292935529483*c_1100_0^10 - 7829255279615/292935529483*c_1100_0^9 - 6335146786763/292935529483*c_1100_0^8 - 1081248828116/292935529483*c_1100_0^7 - 17567260990175/292935529483*c_1100_0^6 + 4704228065796/292935529483*c_1100_0^5 - 12070349865881/292935529483*c_1100_0^4 + 233382521541/292935529483*c_1100_0^3 - 3503159911206/292935529483*c_1100_0^2 + 91472157682/292935529483*c_1100_0 - 509061737406/292935529483, c_1001_11 + 43403515264/292935529483*c_1100_0^13 - 45881699985/292935529483*c_1100_0^12 - 411812968692/292935529483*c_1100_0^11 + 1510980424193/292935529483*c_1100_0^10 + 1622801106597/292935529483*c_1100_0^9 - 8060906876048/292935529483*c_1100_0^8 + 8929526754866/292935529483*c_1100_0^7 - 12321709802545/292935529483*c_1100_0^6 + 4988260893091/292935529483*c_1100_0^5 - 4686803202681/292935529483*c_1100_0^4 - 360385867289/292935529483*c_1100_0^3 - 1011982425342/292935529483*c_1100_0^2 - 212201946468/292935529483*c_1100_0 - 60255227644/292935529483, c_1100_0^14 - 8*c_1100_0^12 + 27*c_1100_0^11 + 54*c_1100_0^10 - 94*c_1100_0^9 + 204*c_1100_0^8 - 171*c_1100_0^7 + 168*c_1100_0^6 - 80*c_1100_0^5 + 58*c_1100_0^4 - 19*c_1100_0^3 + 12*c_1100_0^2 - 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.980 Total time: 3.189 seconds, Total memory usage: 64.12MB