Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 189437916] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1548 geometric_solution 5.33957353 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -1 0 1 0 0 -1 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 0.493317696344 0.295905329542 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.015946635180 0.598278342581 1 4 5 6 0132 0132 0132 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 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 0.890984048641 0.555996837085 4 5 6 1 2310 1023 2310 0132 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 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 0.890984048641 0.555996837085 5 2 3 6 2310 0132 3201 1023 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720585276962 0.361260029082 3 6 4 2 1023 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.493429153776 0.452170650158 5 3 2 4 1023 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720585276962 0.361260029082 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 83899908359/6774816070*c_0110_6^11 + 24733734119/615892370*c_0110_6^10 - 396863855933/6774816070*c_0110_6^9 + 71942496276/677481607*c_0110_6^8 + 4731975608059/6774816070*c_0110_6^7 - 3718220622119/3387408035*c_0110_6^6 - 780534511979/6774816070*c_0110_6^5 + 78298360937/61589237*c_0110_6^4 - 987254034221/1354963214*c_0110_6^3 - 921623254722/3387408035*c_0110_6^2 + 1109830116674/3387408035*c_0110_6 - 104807846367/1354963214, c_0011_0 - 1, c_0011_1 + 2688221/61589237*c_0110_6^11 + 6758835/61589237*c_0110_6^10 - 13201367/61589237*c_0110_6^9 + 56565450/61589237*c_0110_6^8 + 130848505/61589237*c_0110_6^7 - 295519026/61589237*c_0110_6^6 + 512634527/61589237*c_0110_6^5 + 118782042/61589237*c_0110_6^4 - 453469625/61589237*c_0110_6^3 + 311876772/61589237*c_0110_6^2 + 87360303/61589237*c_0110_6 - 75646096/61589237, c_0101_0 + 10204321/61589237*c_0110_6^11 + 37364949/61589237*c_0110_6^10 - 28616315/61589237*c_0110_6^9 + 84430833/61589237*c_0110_6^8 + 578740289/61589237*c_0110_6^7 - 612713973/61589237*c_0110_6^6 - 173339996/61589237*c_0110_6^5 + 404278489/61589237*c_0110_6^4 - 156287881/61589237*c_0110_6^3 - 48661980/61589237*c_0110_6^2 - 101587913/61589237*c_0110_6 - 11089888/61589237, c_0101_1 + 29106776/61589237*c_0110_6^11 + 126798143/61589237*c_0110_6^10 - 12885762/61589237*c_0110_6^9 + 172024427/61589237*c_0110_6^8 + 1871982757/61589237*c_0110_6^7 - 608649784/61589237*c_0110_6^6 - 1940793480/61589237*c_0110_6^5 + 1656340729/61589237*c_0110_6^4 + 869791729/61589237*c_0110_6^3 - 928854104/61589237*c_0110_6^2 - 152524310/61589237*c_0110_6 + 78425001/61589237, c_0101_3 - 35261366/61589237*c_0110_6^11 - 162469422/61589237*c_0110_6^10 - 17706456/61589237*c_0110_6^9 - 188097296/61589237*c_0110_6^8 - 2347431924/61589237*c_0110_6^7 + 220717202/61589237*c_0110_6^6 + 2825463850/61589237*c_0110_6^5 - 1936215394/61589237*c_0110_6^4 - 1420276178/61589237*c_0110_6^3 + 1293917614/61589237*c_0110_6^2 + 206980454/61589237*c_0110_6 - 113883560/61589237, c_0101_5 - c_0110_6, c_0110_6^12 + 4*c_0110_6^11 - 2*c_0110_6^10 + 6*c_0110_6^9 + 62*c_0110_6^8 - 44*c_0110_6^7 - 60*c_0110_6^6 + 78*c_0110_6^5 + 8*c_0110_6^4 - 41*c_0110_6^3 + 4*c_0110_6^2 + 4*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB