Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 1932717851] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s857 geometric_solution 5.49361033 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457156933963 0.265111574283 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905910651775 0.684167977439 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383535649922 1.100621177082 2 5 4 1 3201 1023 1023 0132 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 1 0 -1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383535649922 1.100621177082 4 2 3 4 3201 0132 1023 2310 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 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564765317632 0.872857924433 3 5 5 2 1023 1230 3012 0132 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 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156882842709 0.666658248136 ==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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], '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' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 373735473031723/14445653729*c_0101_4^21 - 892029224448716/14445653729*c_0101_4^20 + 11117949295962190/14445653729*c_0101_4^19 - 5724625835785575/14445653729*c_0101_4^18 - 74850428690015617/14445653729*c_0101_4^17 + 102239325943769447/14445653729*c_0101_4^16 + 167549076255070475/14445653729*c_0101_4^15 - 24129204169543102/1111204133*c_0101_4^14 - 242229408181052229/14445653729*c_0101_4^13 + 514173263651927261/14445653729*c_0101_4^12 + 361588039670174619/14445653729*c_0101_4^11 - 764248297913258969/14445653729*c_0101_4^10 - 116550547082079620/14445653729*c_0101_4^9 + 492516630118129151/14445653729*c_0101_4^8 + 35687032809670973/14445653729*c_0101_4^7 - 174857295284325041/14445653729*c_0101_4^6 - 59814583572594020/14445653729*c_0101_4^5 + 64777339085789609/14445653729*c_0101_4^4 + 19573046963025609/14445653729*c_0101_4^3 - 15659212217249559/14445653729*c_0101_4^2 - 91851361841126/849744337*c_0101_4 + 1321502432424027/14445653729, c_0011_0 - 1, c_0011_1 - 12673886692/65364949*c_0101_4^21 - 30185301017/65364949*c_0101_4^20 + 377240071236/65364949*c_0101_4^19 - 195860932992/65364949*c_0101_4^18 - 2538957007644/65364949*c_0101_4^17 + 3479635552715/65364949*c_0101_4^16 + 5676188938807/65364949*c_0101_4^15 - 821032973455/5028073*c_0101_4^14 - 8194194972163/65364949*c_0101_4^13 + 17502969839205/65364949*c_0101_4^12 + 12235529917001/65364949*c_0101_4^11 - 26015369208783/65364949*c_0101_4^10 - 3914267092334/65364949*c_0101_4^9 + 16774122647495/65364949*c_0101_4^8 + 1194737873070/65364949*c_0101_4^7 - 5963306804957/65364949*c_0101_4^6 - 2032793920738/65364949*c_0101_4^5 + 2208574804828/65364949*c_0101_4^4 + 666826109725/65364949*c_0101_4^3 - 532979234839/65364949*c_0101_4^2 - 3134329234/3844997*c_0101_4 + 44869876340/65364949, c_0011_3 + 6421242604953/14445653729*c_0101_4^21 + 18878376321057/14445653729*c_0101_4^20 - 179526151250809/14445653729*c_0101_4^19 + 2454649719062/14445653729*c_0101_4^18 + 1259059417160536/14445653729*c_0101_4^17 - 1068355322882687/14445653729*c_0101_4^16 - 3266376579153527/14445653729*c_0101_4^15 + 266910987962501/1111204133*c_0101_4^14 + 5513372740103544/14445653729*c_0101_4^13 - 5390299420041208/14445653729*c_0101_4^12 - 8174877188434521/14445653729*c_0101_4^11 + 8038656323233559/14445653729*c_0101_4^10 + 4943446250185462/14445653729*c_0101_4^9 - 4872229768534587/14445653729*c_0101_4^8 - 2246026763754819/14445653729*c_0101_4^7 + 1288420788264580/14445653729*c_0101_4^6 + 1234348734315673/14445653729*c_0101_4^5 - 372733516241176/14445653729*c_0101_4^4 - 325321636559168/14445653729*c_0101_4^3 + 93243804920000/14445653729*c_0101_4^2 + 1584253841113/849744337*c_0101_4 - 7837205181577/14445653729, c_0101_0 + 1382804959095/14445653729*c_0101_4^21 + 3277762163376/14445653729*c_0101_4^20 - 41224320101027/14445653729*c_0101_4^19 + 21731869757172/14445653729*c_0101_4^18 + 277464399301786/14445653729*c_0101_4^17 - 382234109461415/14445653729*c_0101_4^16 - 620008195421670/14445653729*c_0101_4^15 + 90160460164058/1111204133*c_0101_4^14 + 895539154423441/14445653729*c_0101_4^13 - 1922946768042034/14445653729*c_0101_4^12 - 1340137362398158/14445653729*c_0101_4^11 + 2855424917494494/14445653729*c_0101_4^10 + 432485420534829/14445653729*c_0101_4^9 - 1839661472228536/14445653729*c_0101_4^8 - 135899927288293/14445653729*c_0101_4^7 + 652560566809325/14445653729*c_0101_4^6 + 225075541821537/14445653729*c_0101_4^5 - 240768516024593/14445653729*c_0101_4^4 - 73274673308386/14445653729*c_0101_4^3 + 57935076290430/14445653729*c_0101_4^2 + 341602332243/849744337*c_0101_4 - 4867383378543/14445653729, c_0101_1 - 3395016370/65364949*c_0101_4^21 - 906178788/65364949*c_0101_4^20 + 124339580589/65364949*c_0101_4^19 - 246110457907/65364949*c_0101_4^18 - 736042831655/65364949*c_0101_4^17 + 2322351680599/65364949*c_0101_4^16 + 747320311454/65364949*c_0101_4^15 - 518600566841/5028073*c_0101_4^14 + 506049768652/65364949*c_0101_4^13 + 11660699015455/65364949*c_0101_4^12 - 630920695800/65364949*c_0101_4^11 - 17273181861061/65364949*c_0101_4^10 + 4810758391262/65364949*c_0101_4^9 + 11766960151116/65364949*c_0101_4^8 - 2915832412459/65364949*c_0101_4^7 - 5067964901869/65364949*c_0101_4^6 - 157113171612/65364949*c_0101_4^5 + 2079381731326/65364949*c_0101_4^4 + 210308563498/65364949*c_0101_4^3 - 493862726297/65364949*c_0101_4^2 - 898183431/3844997*c_0101_4 + 41409495021/65364949, c_0101_4^22 + 3*c_0101_4^21 - 28*c_0101_4^20 - 2*c_0101_4^19 + 202*c_0101_4^18 - 153*c_0101_4^17 - 561*c_0101_4^16 + 534*c_0101_4^15 + 1009*c_0101_4^14 - 872*c_0101_4^13 - 1535*c_0101_4^12 + 1298*c_0101_4^11 + 1158*c_0101_4^10 - 896*c_0101_4^9 - 616*c_0101_4^8 + 282*c_0101_4^7 + 310*c_0101_4^6 - 60*c_0101_4^5 - 100*c_0101_4^4 + 11*c_0101_4^3 + 16*c_0101_4^2 - c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB