Magma V2.19-8 Tue Aug 20 2013 23:38:20 on localhost [Seed = 879906845] Type ? for help. Type -D to quit. Loading file "K13n2897__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2897 geometric_solution 8.49821338 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 16 -16 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841473663343 0.598303551436 0 5 7 6 0132 0132 0132 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 1 0 -1 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419563296837 0.345075576802 7 0 6 3 1023 0132 1302 1230 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 17 -16 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 0.342215832339 1.184844392897 2 5 4 0 3012 1302 0213 0132 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 0 0 0 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727139691949 0.754381488298 5 3 0 8 2310 0213 0132 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 1 -1 0 0 16 -16 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453947351202 0.578515272743 9 1 4 3 0132 0132 3201 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 -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 1.569534731892 1.204416104870 2 8 1 9 2031 1302 0132 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 16 1 -17 -17 0 17 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 -0.508738269278 1.148791010619 9 2 8 1 1023 1023 2310 0132 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 0 0 0 17 0 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222844123347 0.741595559785 9 7 4 6 3201 3201 0132 2031 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 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.683154239852 1.089671760538 5 7 6 8 0132 1023 0132 2310 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 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.171707900040 0.927887546143 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0101_7']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_5']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 258525373606217442933/761689777794048614*c_0101_9^12 + 1795144950695017270313/1523379555588097228*c_0101_9^11 + 4166085798476092630045/1523379555588097228*c_0101_9^10 - 36355282201135205071/380844888897024307*c_0101_9^9 - 7110221848494864634333/1523379555588097228*c_0101_9^8 - 6364863537950933003115/1523379555588097228*c_0101_9^7 - 372497066449555417823/1523379555588097228*c_0101_9^6 + 122109132476965567851/89610562093417484*c_0101_9^5 + 10503641685262221809/217625650798299604*c_0101_9^4 - 361529930286843068165/761689777794048614*c_0101_9^3 + 1047058005665348833/2449163272649674*c_0101_9^2 + 996436289431480048909/1523379555588097228*c_0101_9 + 66979040987551658442/380844888897024307, c_0011_0 - 1, c_0011_3 + 993838014/58952227*c_0101_9^12 + 1538493687/117904454*c_0101_9^11 - 2068165789/58952227*c_0101_9^10 - 3317306223/58952227*c_0101_9^9 + 49630168/58952227*c_0101_9^8 + 3074893382/58952227*c_0101_9^7 + 1650965480/58952227*c_0101_9^6 - 1465677499/117904454*c_0101_9^5 - 654056044/58952227*c_0101_9^4 + 1079495123/117904454*c_0101_9^3 + 809988/189557*c_0101_9^2 - 672416503/117904454*c_0101_9 - 236157780/58952227, c_0011_4 - 18241168725/235808908*c_0101_9^12 - 3242683929/58952227*c_0101_9^11 + 34664501767/235808908*c_0101_9^10 + 50655312887/235808908*c_0101_9^9 - 380614239/117904454*c_0101_9^8 - 9359093369/58952227*c_0101_9^7 - 8374304133/117904454*c_0101_9^6 + 2759706169/58952227*c_0101_9^5 + 4051750157/235808908*c_0101_9^4 - 2320523772/58952227*c_0101_9^3 - 8770811/758228*c_0101_9^2 + 4042597701/235808908*c_0101_9 + 895317899/117904454, c_0011_6 + 774352878/58952227*c_0101_9^12 - 745662055/58952227*c_0101_9^11 - 3425874451/117904454*c_0101_9^10 + 777320213/117904454*c_0101_9^9 + 2217472350/58952227*c_0101_9^8 + 473496408/58952227*c_0101_9^7 - 2129605483/117904454*c_0101_9^6 - 668792169/58952227*c_0101_9^5 + 498367216/58952227*c_0101_9^4 + 87267329/58952227*c_0101_9^3 - 1128820/189557*c_0101_9^2 + 5677131/117904454*c_0101_9 + 160041582/58952227, c_0011_8 + 8954447697/117904454*c_0101_9^12 + 3431969406/58952227*c_0101_9^11 - 17100824313/117904454*c_0101_9^10 - 13127900480/58952227*c_0101_9^9 - 226534917/117904454*c_0101_9^8 + 19453040669/117904454*c_0101_9^7 + 4825295330/58952227*c_0101_9^6 - 2670189404/58952227*c_0101_9^5 - 1291248989/58952227*c_0101_9^4 + 4517666313/117904454*c_0101_9^3 + 4881389/379114*c_0101_9^2 - 1050611149/58952227*c_0101_9 - 507026403/58952227, c_0101_0 - 9450838761/235808908*c_0101_9^12 - 2304952999/117904454*c_0101_9^11 + 17134129685/235808908*c_0101_9^10 + 22027051229/235808908*c_0101_9^9 - 1012759685/117904454*c_0101_9^8 - 4192428835/58952227*c_0101_9^7 - 1445186552/58952227*c_0101_9^6 + 3153842709/117904454*c_0101_9^5 + 1438688905/235808908*c_0101_9^4 - 2440847931/117904454*c_0101_9^3 - 5441547/758228*c_0101_9^2 + 1704970637/235808908*c_0101_9 + 512224755/117904454, c_0101_1 + 12511531539/235808908*c_0101_9^12 + 4975489155/117904454*c_0101_9^11 - 23335156987/235808908*c_0101_9^10 - 37700489465/235808908*c_0101_9^9 - 940224617/117904454*c_0101_9^8 + 13940944465/117904454*c_0101_9^7 + 7307726047/117904454*c_0101_9^6 - 1980426870/58952227*c_0101_9^5 - 4072123631/235808908*c_0101_9^4 + 1613999767/58952227*c_0101_9^3 + 8705095/758228*c_0101_9^2 - 3063012803/235808908*c_0101_9 - 856708237/117904454, c_0101_5 + 161941065/1800068*c_0101_9^12 + 27937976/450017*c_0101_9^11 - 305112903/1800068*c_0101_9^10 - 454745531/1800068*c_0101_9^9 + 6917113/900034*c_0101_9^8 + 86159979/450017*c_0101_9^7 + 75199619/900034*c_0101_9^6 - 27515477/450017*c_0101_9^5 - 42973173/1800068*c_0101_9^4 + 21038222/450017*c_0101_9^3 + 98327/5788*c_0101_9^2 - 36693857/1800068*c_0101_9 - 8683595/900034, c_0101_7 + 6482307039/235808908*c_0101_9^12 + 3633965041/117904454*c_0101_9^11 - 13157864433/235808908*c_0101_9^10 - 24287825825/235808908*c_0101_9^9 - 747709918/58952227*c_0101_9^8 + 4861091195/58952227*c_0101_9^7 + 2938438996/58952227*c_0101_9^6 - 1142991012/58952227*c_0101_9^5 - 4685610441/235808908*c_0101_9^4 + 1748889285/117904454*c_0101_9^3 + 7876875/758228*c_0101_9^2 - 1873249051/235808908*c_0101_9 - 722266939/117904454, c_0101_9^13 + 58/39*c_0101_9^12 - 17/13*c_0101_9^11 - 13/3*c_0101_9^10 - 88/39*c_0101_9^9 + 28/13*c_0101_9^8 + 36/13*c_0101_9^7 + 8/39*c_0101_9^6 - 31/39*c_0101_9^5 + 10/39*c_0101_9^4 + 23/39*c_0101_9^3 - 1/13*c_0101_9^2 - 4/13*c_0101_9 - 4/39 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB