Magma V2.19-8 Tue Aug 20 2013 23:42:43 on localhost [Seed = 206203212] Type ? for help. Type -D to quit. Loading file "L13n4924__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4924 geometric_solution 9.93964460 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3120 0132 0132 1 0 1 1 0 -1 0 1 0 0 -1 1 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 7 1 -8 1 0 3 -4 -7 7 0 0 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674443043580 0.881408280439 0 0 5 4 0132 3120 0132 0132 1 0 1 1 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 -8 0 8 -1 0 1 0 7 -7 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674443043580 0.881408280439 4 6 7 0 3201 0132 0132 0132 1 0 1 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 1 0 -1 0 0 3 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426274553754 0.907247756720 8 8 0 5 0132 2310 0132 2310 1 0 0 1 0 1 -1 0 0 0 -1 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 -8 8 0 0 0 4 -4 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471263756954 1.260984842133 8 8 1 2 2310 0132 0132 2310 1 0 0 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471263756954 1.260984842133 3 7 9 1 3201 3201 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 0 0 0 0 0 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426274553754 0.907247756720 9 2 7 10 2310 0132 0213 0132 1 0 0 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 -1 0 1 3 0 0 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629453840380 0.527671195026 10 6 5 2 3120 0213 2310 0132 1 0 0 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 0 0 3 0 0 -3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.208586521170 0.632623607908 3 4 4 3 0132 0132 3201 3201 1 0 1 0 0 1 0 -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 -8 0 8 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.260054607815 0.695841582856 10 10 6 5 0213 0132 3201 0132 1 0 0 0 0 0 0 0 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 1 0 0 -1 0 -4 0 4 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300188187059 0.753387966025 9 9 6 7 0213 0132 0132 3120 1 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 3 -3 -1 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.880145806552 0.970122526776 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_0011_10'], 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1140001783/2713066*c_1001_0^12 + 6030827580/1356533*c_1001_0^11 + 27014500572/1356533*c_1001_0^10 + 63499455177/1356533*c_1001_0^9 + 153783084809/2713066*c_1001_0^8 + 59492778195/2713066*c_1001_0^7 - 846763298/46777*c_1001_0^6 - 30545929333/2713066*c_1001_0^5 + 72579059139/2713066*c_1001_0^4 + 57554985891/1356533*c_1001_0^3 + 35489175710/1356533*c_1001_0^2 + 10656561401/1356533*c_1001_0 + 1297241346/1356533, c_0011_0 - 1, c_0011_10 - 69111/46777*c_1001_0^12 - 680233/46777*c_1001_0^11 - 2772000/46777*c_1001_0^10 - 5637079/46777*c_1001_0^9 - 5081337/46777*c_1001_0^8 + 381989/46777*c_1001_0^7 + 108706/1613*c_1001_0^6 + 95549/46777*c_1001_0^5 - 4077944/46777*c_1001_0^4 - 3960856/46777*c_1001_0^3 - 1463750/46777*c_1001_0^2 - 109469/46777*c_1001_0 + 95192/46777, c_0011_2 - c_1001_0 - 1, c_0011_3 - 223700/46777*c_1001_0^12 - 2292103/46777*c_1001_0^11 - 9864602/46777*c_1001_0^10 - 21906700/46777*c_1001_0^9 - 24015675/46777*c_1001_0^8 - 6025230/46777*c_1001_0^7 + 327664/1613*c_1001_0^6 + 2997826/46777*c_1001_0^5 - 13958798/46777*c_1001_0^4 - 18138112/46777*c_1001_0^3 - 9690576/46777*c_1001_0^2 - 2451379/46777*c_1001_0 - 142875/46777, c_0011_5 - c_1001_0 - 1, c_0011_7 - 90581/46777*c_1001_0^12 - 939820/46777*c_1001_0^11 - 4117847/46777*c_1001_0^10 - 9415158/46777*c_1001_0^9 - 10953976/46777*c_1001_0^8 - 3767488/46777*c_1001_0^7 + 125654/1613*c_1001_0^6 + 1941181/46777*c_1001_0^5 - 5475277/46777*c_1001_0^4 - 8108352/46777*c_1001_0^3 - 4892749/46777*c_1001_0^2 - 1444121/46777*c_1001_0 - 129059/46777, c_0101_0 - 1, c_0101_1 + 1, c_0101_2 + 55103/46777*c_1001_0^12 + 524305/46777*c_1001_0^11 + 2019202/46777*c_1001_0^10 + 3643075/46777*c_1001_0^9 + 2078405/46777*c_1001_0^8 - 2582226/46777*c_1001_0^7 - 107058/1613*c_1001_0^6 + 1118172/46777*c_1001_0^5 + 3910710/46777*c_1001_0^4 + 1879488/46777*c_1001_0^3 - 832645/46777*c_1001_0^2 - 984946/46777*c_1001_0 - 351302/46777, c_0101_7 - 81828/46777*c_1001_0^12 - 846154/46777*c_1001_0^11 - 3685624/46777*c_1001_0^10 - 8336062/46777*c_1001_0^9 - 9470101/46777*c_1001_0^8 - 2884270/46777*c_1001_0^7 + 118362/1613*c_1001_0^6 + 1486178/46777*c_1001_0^5 - 5063490/46777*c_1001_0^4 - 7224593/46777*c_1001_0^3 - 4134143/46777*c_1001_0^2 - 1139396/46777*c_1001_0 - 63429/46777, c_1001_0^13 + 11*c_1001_0^12 + 52*c_1001_0^11 + 133*c_1001_0^10 + 189*c_1001_0^9 + 125*c_1001_0^8 - 4*c_1001_0^7 - 42*c_1001_0^6 + 44*c_1001_0^5 + 126*c_1001_0^4 + 116*c_1001_0^3 + 58*c_1001_0^2 + 16*c_1001_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB