Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 3002281597] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0344 geometric_solution 4.36855499 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120460847240 0.539693056644 0 4 3 4 0132 0132 1302 1023 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 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 0.485196691645 1.015112370606 5 0 0 5 0132 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.413516936426 0.411170352374 1 4 0 4 2031 3201 0132 2310 0 0 0 0 0 1 -1 0 1 0 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 -1 0 1 -1 0 0 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 0.485196691645 1.015112370606 3 1 3 1 3201 0132 2310 1023 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455568681532 0.305289407366 2 2 6 6 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.140859152826 0.377213834525 6 5 6 5 2310 2310 3201 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 -0.675667615731 0.059070477067 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], '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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t + 7572628539/268435456*c_0110_4^26 - 9546855681/268435456*c_0110_4^25 - 127981905843/268435456*c_0110_4^24 + 163436855959/134217728*c_0110_4^23 + 579455824585/268435456*c_0110_4^22 - 3042132101035/268435456*c_0110_4^21 + 1418208023559/268435456*c_0110_4^20 + 2750467600159/67108864*c_0110_4^19 - 19472283446897/268435456*c_0110_4^18 - 1096471385197/33554432*c_0110_4^17 + 60160639929335/268435456*c_0110_4^16 - 23797217990879/134217728*c_0110_4^15 - 64766499762167/268435456*c_0110_4^14 + 143491703532599/268435456*c_0110_4^13 - 40884271070597/268435456*c_0110_4^12 - 36300795538541/67108864*c_0110_4^11 + 5191545101565/8388608*c_0110_4^10 + 147520463351/4194304*c_0110_4^9 - 9064857262449/16777216*c_0110_4^8 + 720032049327/2097152*c_0110_4^7 + 117752335523/1048576*c_0110_4^6 - 252506935329/1048576*c_0110_4^5 + 83508010249/1048576*c_0110_4^4 + 11158735959/262144*c_0110_4^3 - 1223178131/32768*c_0110_4^2 + 172832287/32768*c_0110_4 + 121343421/65536, c_0011_0 - 1, c_0011_3 + 21/16777216*c_0110_4^26 + 13/16777216*c_0110_4^25 - 345/16777216*c_0110_4^24 + 143/8388608*c_0110_4^23 + 2391/16777216*c_0110_4^22 - 4721/16777216*c_0110_4^21 - 5835/16777216*c_0110_4^20 + 3281/2097152*c_0110_4^19 - 9927/16777216*c_0110_4^18 - 16167/4194304*c_0110_4^17 + 93553/16777216*c_0110_4^16 + 24381/8388608*c_0110_4^15 - 219257/16777216*c_0110_4^14 + 124781/16777216*c_0110_4^13 + 227113/16777216*c_0110_4^12 - 39533/2097152*c_0110_4^11 + 5187/2097152*c_0110_4^10 + 24323/1048576*c_0110_4^9 - 6097/1048576*c_0110_4^8 + 639/65536*c_0110_4^7 + 179/4096*c_0110_4^6 + 3859/65536*c_0110_4^5 + 7927/65536*c_0110_4^4 + 2075/8192*c_0110_4^3 + 4095/8192*c_0110_4^2 - 3/4096*c_0110_4 + 1/4096, c_0011_6 - 11697/16384*c_0110_4^26 + 877/65536*c_0110_4^25 + 896963/65536*c_0110_4^24 - 1064839/65536*c_0110_4^23 - 1668329/16384*c_0110_4^22 + 15542947/65536*c_0110_4^21 + 17881473/65536*c_0110_4^20 - 91400029/65536*c_0110_4^19 + 17806893/32768*c_0110_4^18 + 257651493/65536*c_0110_4^17 - 184954241/32768*c_0110_4^16 - 253920051/65536*c_0110_4^15 + 257533429/16384*c_0110_4^14 - 476732989/65536*c_0110_4^13 - 1270663753/65536*c_0110_4^12 + 1756610987/65536*c_0110_4^11 + 106957851/32768*c_0110_4^10 - 266602787/8192*c_0110_4^9 + 41392085/2048*c_0110_4^8 + 58216451/4096*c_0110_4^7 - 49393649/2048*c_0110_4^6 + 684329/128*c_0110_4^5 + 642785/64*c_0110_4^4 - 479903/64*c_0110_4^3 - 3211/32*c_0110_4^2 + 8283/4*c_0110_4 - 2849/4, c_0101_0 + 17058363/16777216*c_0110_4^26 - 65669809/16777216*c_0110_4^25 - 223235907/16777216*c_0110_4^24 + 740523679/8388608*c_0110_4^23 - 767552887/16777216*c_0110_4^22 - 10003531131/16777216*c_0110_4^21 + 21998515159/16777216*c_0110_4^20 + 3427908395/4194304*c_0110_4^19 - 109739046481/16777216*c_0110_4^18 + 13398786501/2097152*c_0110_4^17 + 176630676567/16777216*c_0110_4^16 - 242286380439/8388608*c_0110_4^15 + 184903456201/16777216*c_0110_4^14 + 700197369063/16777216*c_0110_4^13 - 1023951449813/16777216*c_0110_4^12 + 1227715935/4194304*c_0110_4^11 + 19739528045/262144*c_0110_4^10 - 17144497311/262144*c_0110_4^9 - 18495162721/1048576*c_0110_4^8 + 8738034515/131072*c_0110_4^7 - 2306668817/65536*c_0110_4^6 - 1066755825/65536*c_0110_4^5 + 1806775225/65536*c_0110_4^4 - 147132509/16384*c_0110_4^3 - 4367415/1024*c_0110_4^2 + 8506763/2048*c_0110_4 - 4091379/4096, c_0101_2 + 63/4096*c_0110_4^26 - 33/2048*c_0110_4^25 - 571/2048*c_0110_4^24 + 2557/4096*c_0110_4^23 + 6433/4096*c_0110_4^22 - 13345/2048*c_0110_4^21 + 659/2048*c_0110_4^20 + 117361/4096*c_0110_4^19 - 149351/4096*c_0110_4^18 - 196865/4096*c_0110_4^17 + 623853/4096*c_0110_4^16 - 192143/4096*c_0110_4^15 - 1088687/4096*c_0110_4^14 + 85819/256*c_0110_4^13 + 123987/1024*c_0110_4^12 - 2333919/4096*c_0110_4^11 + 625791/2048*c_0110_4^10 + 199069/512*c_0110_4^9 - 145093/256*c_0110_4^8 + 12511/256*c_0110_4^7 + 49273/128*c_0110_4^6 - 4021/16*c_0110_4^5 - 621/8*c_0110_4^4 + 2447/16*c_0110_4^3 - 287/8*c_0110_4^2 - 65/2*c_0110_4 + 18, c_0101_5 - 605409/1048576*c_0110_4^26 - 1484687/262144*c_0110_4^25 + 4808433/262144*c_0110_4^24 + 87700899/1048576*c_0110_4^23 - 345528847/1048576*c_0110_4^22 - 33378587/131072*c_0110_4^21 + 664059613/262144*c_0110_4^20 - 2239103501/1048576*c_0110_4^19 - 8438143539/1048576*c_0110_4^18 + 18658107917/1048576*c_0110_4^17 + 2964347945/1048576*c_0110_4^16 - 51484380993/1048576*c_0110_4^15 + 49633055057/1048576*c_0110_4^14 + 23702397909/524288*c_0110_4^13 - 64829774105/524288*c_0110_4^12 + 52018443091/1048576*c_0110_4^11 + 59420092449/524288*c_0110_4^10 - 19645743971/131072*c_0110_4^9 + 73290801/8192*c_0110_4^8 + 3889969147/32768*c_0110_4^7 - 1462074591/16384*c_0110_4^6 - 60047885/4096*c_0110_4^5 + 112417293/2048*c_0110_4^4 - 99830657/4096*c_0110_4^3 - 12503411/2048*c_0110_4^2 + 4610861/512*c_0110_4 - 160895/64, c_0110_4^27 - 29/21*c_0110_4^26 - 53/3*c_0110_4^25 + 976/21*c_0110_4^24 + 1819/21*c_0110_4^23 - 9503/21*c_0110_4^22 + 3607/21*c_0110_4^21 + 37918/21*c_0110_4^20 - 62423/21*c_0110_4^19 - 2134*c_0110_4^18 + 222889/21*c_0110_4^17 - 138344/21*c_0110_4^16 - 316781/21*c_0110_4^15 + 187765/7*c_0110_4^14 - 1069*c_0110_4^13 - 36690*c_0110_4^12 + 674024/21*c_0110_4^11 + 306176/21*c_0110_4^10 - 875888/21*c_0110_4^9 + 358688/21*c_0110_4^8 + 406016/21*c_0110_4^7 - 22784*c_0110_4^6 + 53504/21*c_0110_4^5 + 190976/21*c_0110_4^4 - 112640/21*c_0110_4^3 - 8192/21*c_0110_4^2 + 4096/3*c_0110_4 - 8192/21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB