Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 1595851236] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m267 geometric_solution 4.28549930 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 2103 0132 0 0 0 0 0 -1 0 1 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 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 0.809579823829 0.792484980403 0 1 1 2 0132 1230 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813567517453 1.090572429531 0 0 3 1 2103 0132 1302 0213 0 0 0 0 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 -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 0.369216874000 0.617463699728 2 4 0 4 2031 0132 0132 2310 0 0 0 0 0 0 -1 1 1 0 -1 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 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 0.935000347250 0.417799190373 3 3 4 4 3201 0132 1230 3012 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 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 0.555857138712 0.243617146059 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : 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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : 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_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 35615097772638/6545225781905*c_0110_4^13 + 52531870906673/5236180625524*c_0110_4^12 - 447002799791601/13090451563810*c_0110_4^11 + 1424687118830637/26180903127620*c_0110_4^10 + 152444845566995/5236180625524*c_0110_4^9 + 66289458990390/1309045156381*c_0110_4^8 - 1057340733364067/26180903127620*c_0110_4^7 - 6580002762995727/6545225781905*c_0110_4^6 + 3297316680360591/5236180625524*c_0110_4^5 + 6771811314333471/26180903127620*c_0110_4^4 + 8059808842322977/26180903127620*c_0110_4^3 - 71134254706353/26180903127620*c_0110_4^2 + 365655829890241/5236180625524*c_0110_4 - 678885317698191/26180903127620, c_0011_0 - 1, c_0011_3 - 82997655147/1309045156381*c_0110_4^13 - 659381631595/5236180625524*c_0110_4^12 + 496903369734/1309045156381*c_0110_4^11 - 3114741707715/5236180625524*c_0110_4^10 - 2411382342785/5236180625524*c_0110_4^9 - 781646103682/1309045156381*c_0110_4^8 + 1569685374931/5236180625524*c_0110_4^7 + 15076237093515/1309045156381*c_0110_4^6 - 30990951106209/5236180625524*c_0110_4^5 - 20593806782407/5236180625524*c_0110_4^4 - 9313484553013/5236180625524*c_0110_4^3 - 320449236765/5236180625524*c_0110_4^2 - 13912771659981/5236180625524*c_0110_4 + 36158687695/5236180625524, c_0101_1 - 4673543754443/20944722502096*c_0110_4^13 - 9013168851905/20944722502096*c_0110_4^12 + 28952511379553/20944722502096*c_0110_4^11 - 21934785427497/10472361251048*c_0110_4^10 - 31804456333231/20944722502096*c_0110_4^9 - 40440244349901/20944722502096*c_0110_4^8 + 31100783442213/20944722502096*c_0110_4^7 + 866885686764499/20944722502096*c_0110_4^6 - 235864775750133/10472361251048*c_0110_4^5 - 165887887887003/10472361251048*c_0110_4^4 - 11801328571591/1309045156381*c_0110_4^3 - 1511843593633/2618090312762*c_0110_4^2 - 17517833521087/5236180625524*c_0110_4 + 908159152357/20944722502096, c_0101_4 - 363540375561/20944722502096*c_0110_4^13 + 563892794213/20944722502096*c_0110_4^12 + 4427461718971/20944722502096*c_0110_4^11 - 6026803397083/10472361251048*c_0110_4^10 + 10180249708251/20944722502096*c_0110_4^9 + 3778019533089/20944722502096*c_0110_4^8 + 9136566879623/20944722502096*c_0110_4^7 + 52920874494513/20944722502096*c_0110_4^6 - 138938875884223/10472361251048*c_0110_4^5 + 72607293020311/10472361251048*c_0110_4^4 + 5520762606512/1309045156381*c_0110_4^3 + 4999418366297/2618090312762*c_0110_4^2 - 279636516385/5236180625524*c_0110_4 + 6311596690439/20944722502096, c_0110_4^14 + 2*c_0110_4^13 - 6*c_0110_4^12 + 9*c_0110_4^11 + 7*c_0110_4^10 + 10*c_0110_4^9 - 6*c_0110_4^8 - 186*c_0110_4^7 + 87*c_0110_4^6 + 68*c_0110_4^5 + 62*c_0110_4^4 + 8*c_0110_4^3 + 12*c_0110_4^2 - 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB