Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 1427425704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0520 geometric_solution 4.53367978 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 1 0 -1 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 1.150657843637 1.124992754149 0 4 5 2 0132 0132 0132 1302 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 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 0.610973939810 0.361112515448 5 0 1 4 0213 0132 2031 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.380780840052 1.281706531921 0 5 5 0 3201 2103 0321 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 -1 0 1 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 -0.444334257314 0.434423510571 6 1 6 2 0132 0132 1023 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.891893613676 0.149511008902 2 3 3 1 0213 2103 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 1 0 -1 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 -0.116942548730 0.873233791200 4 6 4 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889448900252 0.097998974322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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_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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_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_3, c_0011_5, c_0101_0, c_0101_4, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 264040304070703/177109279567055*c_1001_0^14 - 588172725581539/70843711826822*c_1001_0^13 - 435701280506791/32201687194010*c_1001_0^12 + 9350299065413289/354218559134110*c_1001_0^11 + 55999788904758749/354218559134110*c_1001_0^10 + 106410157586705231/354218559134110*c_1001_0^9 + 67759867286313553/354218559134110*c_1001_0^8 - 67135836899318272/177109279567055*c_1001_0^7 - 214889059242705722/177109279567055*c_1001_0^6 - 115779797383012721/70843711826822*c_1001_0^5 - 357308397468537799/354218559134110*c_1001_0^4 + 79200693537513928/177109279567055*c_1001_0^3 + 51221525008724477/32201687194010*c_1001_0^2 + 523252522021719257/354218559134110*c_1001_0 + 99815203024166977/177109279567055, c_0011_0 - 1, c_0011_3 - 201731190383/29221131755*c_1001_0^14 - 1120283751924/29221131755*c_1001_0^13 - 1810292594621/29221131755*c_1001_0^12 + 3621246470567/29221131755*c_1001_0^11 + 21386022037403/29221131755*c_1001_0^10 + 40308035208991/29221131755*c_1001_0^9 + 24911106090169/29221131755*c_1001_0^8 - 10530445635436/5844226351*c_1001_0^7 - 164727724476534/29221131755*c_1001_0^6 - 43837874457083/5844226351*c_1001_0^5 - 131213570205277/29221131755*c_1001_0^4 + 67806560907962/29221131755*c_1001_0^3 + 221629796535993/29221131755*c_1001_0^2 + 203277695068933/29221131755*c_1001_0 + 77073796871734/29221131755, c_0011_5 - 149885010936/29221131755*c_1001_0^14 - 830948258576/29221131755*c_1001_0^13 - 1336951475888/29221131755*c_1001_0^12 + 2700674096219/29221131755*c_1001_0^11 + 15854347629798/29221131755*c_1001_0^10 + 29796729706743/29221131755*c_1001_0^9 + 18288119473118/29221131755*c_1001_0^8 - 39149549767651/29221131755*c_1001_0^7 - 121915415354807/29221131755*c_1001_0^6 - 32370395812633/5844226351*c_1001_0^5 - 96482518366889/29221131755*c_1001_0^4 + 50602103360277/29221131755*c_1001_0^3 + 32768433519483/5844226351*c_1001_0^2 + 29961934809410/5844226351*c_1001_0 + 56599104737082/29221131755, c_0101_0 + 149885010936/29221131755*c_1001_0^14 + 830948258576/29221131755*c_1001_0^13 + 1336951475888/29221131755*c_1001_0^12 - 2700674096219/29221131755*c_1001_0^11 - 15854347629798/29221131755*c_1001_0^10 - 29796729706743/29221131755*c_1001_0^9 - 18288119473118/29221131755*c_1001_0^8 + 39149549767651/29221131755*c_1001_0^7 + 121915415354807/29221131755*c_1001_0^6 + 32370395812633/5844226351*c_1001_0^5 + 96482518366889/29221131755*c_1001_0^4 - 50602103360277/29221131755*c_1001_0^3 - 32768433519483/5844226351*c_1001_0^2 - 29961934809410/5844226351*c_1001_0 - 56599104737082/29221131755, c_0101_4 + 5661016406/5844226351*c_1001_0^14 + 156369121932/29221131755*c_1001_0^13 + 250580572149/29221131755*c_1001_0^12 - 101991831367/5844226351*c_1001_0^11 - 2980924879983/29221131755*c_1001_0^10 - 5596359252009/29221131755*c_1001_0^9 - 686127877226/5844226351*c_1001_0^8 + 7360395785814/29221131755*c_1001_0^7 + 22905689146781/29221131755*c_1001_0^6 + 6081876581522/5844226351*c_1001_0^5 + 3628658013420/5844226351*c_1001_0^4 - 9474993622937/29221131755*c_1001_0^3 - 30769697968191/29221131755*c_1001_0^2 - 28163820270271/29221131755*c_1001_0 - 10674589643991/29221131755, c_0101_6 - 13672361408/5844226351*c_1001_0^14 - 380145451448/29221131755*c_1001_0^13 - 614297565651/29221131755*c_1001_0^12 + 245959943507/5844226351*c_1001_0^11 + 7258331523867/29221131755*c_1001_0^10 + 13667775325771/29221131755*c_1001_0^9 + 1684194877369/5844226351*c_1001_0^8 - 17897737935126/29221131755*c_1001_0^7 - 55872040363004/29221131755*c_1001_0^6 - 14852068367386/5844226351*c_1001_0^5 - 8870072315372/5844226351*c_1001_0^4 + 23123471375868/29221131755*c_1001_0^3 + 75149876723519/29221131755*c_1001_0^2 + 68780101294364/29221131755*c_1001_0 + 25987536288654/29221131755, c_1001_0^15 + 7*c_1001_0^14 + 17*c_1001_0^13 - 5*c_1001_0^12 - 132*c_1001_0^11 - 353*c_1001_0^10 - 412*c_1001_0^9 + 83*c_1001_0^8 + 1194*c_1001_0^7 + 2266*c_1001_0^6 + 2219*c_1001_0^5 + 602*c_1001_0^4 - 1585*c_1001_0^3 - 2594*c_1001_0^2 - 1836*c_1001_0 - 551 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB