Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 2816883576] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1146 geometric_solution 5.01649112 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 1 -1 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 -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 3.273058271449 0.932215449192 0 2 2 0 3201 0132 3201 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 -1 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 0 0 0 -0.537286148733 0.823565064849 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -1 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 -0.041568750622 0.301030226714 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 -0.232282292539 1.404345102464 5 3 2 6 2310 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232282292539 1.404345102465 5 3 4 5 3201 0132 3201 2310 0 0 0 0 0 1 0 -1 1 0 -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 1 0 -1 1 0 -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 0.114642752299 0.693113478279 6 6 4 3 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728376928213 1.451633674798 ==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' : negation(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' : d['1'], 's_2_2' : negation(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' : d['1'], 's_1_1' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_0011_3, c_0011_6, c_0101_1, c_0101_5, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 15643505883237954923651/23764443741599541693128*c_0101_5*c_1100_2^1\ 1 - 12778260307584194755483/5941110935399885423282*c_0101_5*c_1100_\ 2^10 + 605103415930197240672857/23764443741599541693128*c_0101_5*c_\ 1100_2^9 + 1080823171819391919831/142302058332931387384*c_0101_5*c_\ 1100_2^8 - 5407982554049118793522761/23764443741599541693128*c_0101\ _5*c_1100_2^7 + 615771137044375729714255/5941110935399885423282*c_0\ 101_5*c_1100_2^6 + 19280040123437301115921197/237644437415995416931\ 28*c_0101_5*c_1100_2^5 - 3975468859906277879731113/5941110935399885\ 423282*c_0101_5*c_1100_2^4 - 3466136388398490701770340/297055546769\ 9942711641*c_0101_5*c_1100_2^3 + 2000837614312652677557531/18280341\ 33969195514856*c_0101_5*c_1100_2^2 + 7993475253174679071599821/11882221870799770846564*c_0101_5*c_1100_2 - 12141946500180501963698483/23764443741599541693128*c_0101_5, c_0011_0 - 1, c_0011_1 + 261050021267/108396500232277*c_1100_2^11 + 1072106288554/108396500232277*c_1100_2^10 - 9070502119925/108396500232277*c_1100_2^9 - 9868147324733/108396500232277*c_1100_2^8 + 78884375665471/108396500232277*c_1100_2^7 + 13799705936062/108396500232277*c_1100_2^6 - 291404649895238/108396500232277*c_1100_2^5 + 81817549520230/108396500232277*c_1100_2^4 + 474118011504853/108396500232277*c_1100_2^3 - 173121330090218/108396500232277*c_1100_2^2 - 366168704405641/108396500232277*c_1100_2 - 42993078613015/108396500232277, c_0011_3 - 522043489569962/105253001725540967*c_0101_5*c_1100_2^11 - 1346797153823200/105253001725540967*c_0101_5*c_1100_2^10 + 20193797314018892/105253001725540967*c_0101_5*c_1100_2^9 - 12004176319061230/105253001725540967*c_0101_5*c_1100_2^8 - 143433887520385303/105253001725540967*c_0101_5*c_1100_2^7 + 219576244492444968/105253001725540967*c_0101_5*c_1100_2^6 + 291989356448418804/105253001725540967*c_0101_5*c_1100_2^5 - 803935571753659424/105253001725540967*c_0101_5*c_1100_2^4 + 118754378769539859/105253001725540967*c_0101_5*c_1100_2^3 + 680086818980194242/105253001725540967*c_0101_5*c_1100_2^2 - 165896596193355537/105253001725540967*c_0101_5*c_1100_2 - 263679040633603535/105253001725540967*c_0101_5, c_0011_6 + 399513640784/108396500232277*c_1100_2^11 + 1500196986649/108396500232277*c_1100_2^10 - 13899024319668/108396500232277*c_1100_2^9 - 8200828238022/108396500232277*c_1100_2^8 + 105948509240668/108396500232277*c_1100_2^7 - 30818478596269/108396500232277*c_1100_2^6 - 294871816729449/108396500232277*c_1100_2^5 + 203457362879575/108396500232277*c_1100_2^4 + 253398593006793/108396500232277*c_1100_2^3 - 60213506718410/108396500232277*c_1100_2^2 - 186572584882977/108396500232277*c_1100_2 - 74250267731469/108396500232277, c_0101_1 - 706234618826705/105253001725540967*c_0101_5*c_1100_2^11 - 1446670389467528/105253001725540967*c_0101_5*c_1100_2^10 + 28760446684334253/105253001725540967*c_0101_5*c_1100_2^9 - 28760270514151436/105253001725540967*c_0101_5*c_1100_2^8 - 200847544971345322/105253001725540967*c_0101_5*c_1100_2^7 + 382406881461945370/105253001725540967*c_0101_5*c_1100_2^6 + 344690563881289001/105253001725540967*c_0101_5*c_1100_2^5 - 1252651348080887308/105253001725540967*c_0101_5*c_1100_2^4 + 467213803436209712/105253001725540967*c_0101_5*c_1100_2^3 + 832790065377588635/105253001725540967*c_0101_5*c_1100_2^2 - 423783883106794805/105253001725540967*c_0101_5*c_1100_2 - 196973645189876160/105253001725540967*c_0101_5, c_0101_5^2 - 329562267783/108396500232277*c_1100_2^11 - 1720350091842/108396500232277*c_1100_2^10 + 8998473442830/108396500232277*c_1100_2^9 + 20642721597754/108396500232277*c_1100_2^8 - 56687057608103/108396500232277*c_1100_2^7 - 73038199069220/108396500232277*c_1100_2^6 + 128141865113374/108396500232277*c_1100_2^5 + 96774501153908/108396500232277*c_1100_2^4 - 46250290086710/108396500232277*c_1100_2^3 - 86077422547555/108396500232277*c_1100_2^2 - 91050642830968/108396500232277*c_1100_2 - 41075447282775/108396500232277, c_1100_2^12 + 3*c_1100_2^11 - 39*c_1100_2^10 + 326*c_1100_2^8 - 231*c_1100_2^7 - 1019*c_1100_2^6 + 1067*c_1100_2^5 + 1124*c_1100_2^4 - 1141*c_1100_2^3 - 705*c_1100_2^2 + 239*c_1100_2 + 167 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB