Magma V2.19-8 Wed Aug 21 2013 01:07:34 on localhost [Seed = 3170543017] Type ? for help. Type -D to quit. Loading file "L14n33491__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33491 geometric_solution 12.00760846 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2103 1 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 2 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 0.369375823127 0.881596232039 0 4 5 0 0132 0132 0132 2103 1 0 1 1 0 1 -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 0 -7 7 0 -2 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 0.369375823127 0.881596232039 5 0 7 6 1230 0132 0132 0132 1 1 1 1 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402964384903 0.591900982807 8 6 9 0 0132 1302 0132 0132 1 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 -1 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 0 0 0 0.629201770521 1.163439448771 10 1 11 9 0132 0132 0132 3201 1 1 1 1 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 7 -7 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 0.435256910049 0.902597324197 12 2 10 1 0132 3012 3012 0132 1 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 0 0 0 6 1 -7 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 0.508107855523 1.254970686432 12 7 2 3 1302 1230 0132 2031 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 -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 1.415653755200 0.841890549841 8 11 6 2 1302 2103 3012 0132 1 1 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 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 0.566130748645 1.221757726280 3 7 9 10 0132 2031 3120 1023 1 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 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 -0.339986012630 0.855227891314 12 4 8 3 3120 2310 3120 0132 1 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 0 0 0 1.000528226586 0.832868370323 4 5 12 8 0132 1230 1023 1023 0 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 -1 0 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 0.719018148093 1.352997875118 11 7 11 4 2031 2103 1302 0132 1 1 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 0 0 0 -6 -1 7 1 0 -1 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 0.405274376997 0.563036114874 5 6 10 9 0132 2031 1023 3120 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.064519006232 0.587104707644 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_1001_2']), 'c_1010_10' : d['c_0101_3'], '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_1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_1001_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_0']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_0101_9']), '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_0101_9']), '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0101_3'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_10']), '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_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 664359879/22830763*c_1001_2^10 - 6902940771/45661526*c_1001_2^9 - 11763449738/22830763*c_1001_2^8 - 124330251805/91323052*c_1001_2^7 - 247164014293/91323052*c_1001_2^6 - 713132752777/182646104*c_1001_2^5 - 1470433738715/365292208*c_1001_2^4 - 534481590703/182646104*c_1001_2^3 - 257617272171/182646104*c_1001_2^2 - 74784317199/182646104*c_1001_2 - 14688217717/365292208, c_0011_0 - 1, c_0011_11 + 275760/288997*c_1001_2^10 + 1541292/288997*c_1001_2^9 + 5550020/288997*c_1001_2^8 + 15093090/288997*c_1001_2^7 + 31526170/288997*c_1001_2^6 + 48742974/288997*c_1001_2^5 + 109298177/577994*c_1001_2^4 + 43632918/288997*c_1001_2^3 + 23853883/288997*c_1001_2^2 + 8003210/288997*c_1001_2 + 1998259/577994, c_0011_12 - 6386524/3178967*c_1001_2^10 - 3612790/288997*c_1001_2^9 - 147898862/3178967*c_1001_2^8 - 413452123/3178967*c_1001_2^7 - 891038590/3178967*c_1001_2^6 - 2864282557/6357934*c_1001_2^5 - 6654880429/12715868*c_1001_2^4 - 5439562457/12715868*c_1001_2^3 - 3002980133/12715868*c_1001_2^2 - 1031708661/12715868*c_1001_2 - 39418513/3178967, c_0011_3 + 6386524/3178967*c_1001_2^10 + 3612790/288997*c_1001_2^9 + 147898862/3178967*c_1001_2^8 + 413452123/3178967*c_1001_2^7 + 891038590/3178967*c_1001_2^6 + 2864282557/6357934*c_1001_2^5 + 6654880429/12715868*c_1001_2^4 + 5439562457/12715868*c_1001_2^3 + 3002980133/12715868*c_1001_2^2 + 1031708661/12715868*c_1001_2 + 42597480/3178967, c_0011_7 - 5138810/3178967*c_1001_2^10 - 2820308/288997*c_1001_2^9 - 113446361/3178967*c_1001_2^8 - 312115538/3178967*c_1001_2^7 - 659307089/3178967*c_1001_2^6 - 4118444235/12715868*c_1001_2^5 - 4562108083/12715868*c_1001_2^4 - 1723515307/6357934*c_1001_2^3 - 411686081/3178967*c_1001_2^2 - 425695311/12715868*c_1001_2 - 21607117/12715868, c_0101_0 - 1, c_0101_1 + 608197/3178967*c_1001_2^10 + 527672/288997*c_1001_2^9 + 42821045/6357934*c_1001_2^8 + 58980608/3178967*c_1001_2^7 + 251443407/6357934*c_1001_2^6 + 1489147123/25431736*c_1001_2^5 + 1321351633/25431736*c_1001_2^4 + 204576519/12715868*c_1001_2^3 - 46399858/3178967*c_1001_2^2 - 454950921/25431736*c_1001_2 - 164155341/25431736, c_0101_10 - 2600786/3178967*c_1001_2^10 - 1401138/288997*c_1001_2^9 - 55334907/3178967*c_1001_2^8 - 152544245/3178967*c_1001_2^7 - 321605946/3178967*c_1001_2^6 - 2015002591/12715868*c_1001_2^5 - 1147682673/6357934*c_1001_2^4 - 475186005/3178967*c_1001_2^3 - 565081313/6357934*c_1001_2^2 - 456091223/12715868*c_1001_2 - 50239215/6357934, c_0101_2 + 2155210/3178967*c_1001_2^10 + 898300/288997*c_1001_2^9 + 28390287/3178967*c_1001_2^8 + 63367010/3178967*c_1001_2^7 + 93902494/3178967*c_1001_2^6 + 221089819/12715868*c_1001_2^5 - 330767065/12715868*c_1001_2^4 - 859259381/12715868*c_1001_2^3 - 863444771/12715868*c_1001_2^2 - 114032152/3178967*c_1001_2 - 26525363/3178967, c_0101_3 + 1530549/3178967*c_1001_2^10 + 1415438/288997*c_1001_2^9 + 135583037/6357934*c_1001_2^8 + 210969283/3178967*c_1001_2^7 + 1015654731/6357934*c_1001_2^6 + 7453773779/25431736*c_1001_2^5 + 9963314255/25431736*c_1001_2^4 + 2341523955/6357934*c_1001_2^3 + 2966627303/12715868*c_1001_2^2 + 2339448729/25431736*c_1001_2 + 461693211/25431736, c_0101_9 + 1530549/3178967*c_1001_2^10 + 1415438/288997*c_1001_2^9 + 135583037/6357934*c_1001_2^8 + 210969283/3178967*c_1001_2^7 + 1015654731/6357934*c_1001_2^6 + 7453773779/25431736*c_1001_2^5 + 9963314255/25431736*c_1001_2^4 + 2341523955/6357934*c_1001_2^3 + 2966627303/12715868*c_1001_2^2 + 2339448729/25431736*c_1001_2 + 461693211/25431736, c_1001_0 + 4964978/3178967*c_1001_2^10 + 3101552/288997*c_1001_2^9 + 132595679/3178967*c_1001_2^8 + 383072948/3178967*c_1001_2^7 + 856629260/3178967*c_1001_2^6 + 5779681799/12715868*c_1001_2^5 + 7119536989/12715868*c_1001_2^4 + 6219160523/12715868*c_1001_2^3 + 3684796493/12715868*c_1001_2^2 + 339011624/3178967*c_1001_2 + 119775915/6357934, c_1001_2^11 + 7*c_1001_2^10 + 57/2*c_1001_2^9 + 171/2*c_1001_2^8 + 399/2*c_1001_2^7 + 2867/8*c_1001_2^6 + 1947/4*c_1001_2^5 + 3933/8*c_1001_2^4 + 361*c_1001_2^3 + 1481/8*c_1001_2^2 + 241/4*c_1001_2 + 79/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB