Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 2951623327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2681 geometric_solution 5.94141405 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 1 0 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 -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 0.750496522825 0.831435450232 0 4 3 5 0132 2031 0213 0132 0 0 0 0 0 0 0 0 -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 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 0.401770735247 0.662746599025 3 0 5 5 0132 0132 2103 0213 0 0 0 0 0 1 -1 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 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 0 0.956843251580 0.959887714345 2 1 5 0 0132 0213 3012 0132 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 0 1 -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 1.401770735247 0.662746599025 1 6 0 6 1302 0132 0132 1023 0 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 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 0.622182518543 1.537833980707 2 3 1 2 2103 1230 0132 0213 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 0 0 0 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 1.030251123483 0.689677624091 6 4 6 4 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526625424369 0.241127381717 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_5']})} 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_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 161219572228122349851/806895226102918418530304*c_1001_0^21 - 7630349832837929120573/806895226102918418530304*c_1001_0^19 + 98363259042173050937785/806895226102918418530304*c_1001_0^17 - 115580934424472367675245/403447613051459209265152*c_1001_0^15 - 901141782988879375376665/806895226102918418530304*c_1001_0^13 + 63874843367626939382901/50430951631432401158144*c_1001_0^11 + 186310190642172301186299/25215475815716200579072*c_1001_0^9 + 48027324517882826682591/3151934476964525072384*c_1001_0^7 - 80101628021102544696169/3151934476964525072384*c_1001_0^5 - 2146018782762579354789/24624488101285352128*c_1001_0^3 - 453452639064875331095/49248976202570704256*c_1001_0, c_0011_0 - 1, c_0011_4 + 19573172536940795/6303868953929050144768*c_1001_0^21 - 886324278436047303/6303868953929050144768*c_1001_0^19 + 10159288269912552527/6303868953929050144768*c_1001_0^17 - 1073088375315024707/787983619241131268096*c_1001_0^15 - 115299501315948272413/6303868953929050144768*c_1001_0^13 - 34939658142387296161/3151934476964525072384*c_1001_0^11 + 15888613530662559265/393991809620565634048*c_1001_0^9 + 59198862366869216185/196995904810282817024*c_1001_0^7 + 1165040649425580373/6156122025321338032*c_1001_0^5 - 1922309810497884757/3078061012660669016*c_1001_0^3 - 412518405713701411/769515253165167254*c_1001_0, c_0011_5 - 723512521968451/787983619241131268096*c_1001_0^20 + 89462185335895921/1575967238482262536192*c_1001_0^18 - 1839272187989060999/1575967238482262536192*c_1001_0^16 + 13321621354975622381/1575967238482262536192*c_1001_0^14 - 1851223366569429747/393991809620565634048*c_1001_0^12 - 94031021406799668117/1575967238482262536192*c_1001_0^10 - 42514911310784779765/393991809620565634048*c_1001_0^8 + 3963870571414684199/98497952405141408512*c_1001_0^6 + 25636006803752542353/24624488101285352128*c_1001_0^4 + 4344258558169204199/3078061012660669016*c_1001_0^2 + 93029644550833294/384757626582583627, c_0101_0 - 85112918756895599/25215475815716200579072*c_1001_0^21 + 3828349671945499545/25215475815716200579072*c_1001_0^19 - 42926910243024175525/25215475815716200579072*c_1001_0^17 + 10252812169133029441/12607737907858100289536*c_1001_0^15 + 541758382206299500213/25215475815716200579072*c_1001_0^13 + 574647487382652193/24624488101285352128*c_1001_0^11 - 14732314858681935951/196995904810282817024*c_1001_0^9 - 34529374766287698533/98497952405141408512*c_1001_0^7 - 40307087783756478929/98497952405141408512*c_1001_0^5 + 5496364028075856923/6156122025321338032*c_1001_0^3 + 1916547975871044941/1539030506330334508*c_1001_0, c_0101_3 + 19573172536940795/3151934476964525072384*c_1001_0^20 - 886324278436047303/3151934476964525072384*c_1001_0^18 + 10159288269912552527/3151934476964525072384*c_1001_0^16 - 1073088375315024707/393991809620565634048*c_1001_0^14 - 115299501315948272413/3151934476964525072384*c_1001_0^12 - 34939658142387296161/1575967238482262536192*c_1001_0^10 + 15888613530662559265/196995904810282817024*c_1001_0^8 + 59198862366869216185/98497952405141408512*c_1001_0^6 + 1165040649425580373/3078061012660669016*c_1001_0^4 - 1922309810497884757/1539030506330334508*c_1001_0^2 - 27760779131117784/384757626582583627, c_0101_6 + 11378281875119347/1575967238482262536192*c_1001_0^20 - 514678881479823437/1575967238482262536192*c_1001_0^18 + 5894377692253481349/1575967238482262536192*c_1001_0^16 - 2678590932779540315/787983619241131268096*c_1001_0^14 - 58701805011886840173/1575967238482262536192*c_1001_0^12 - 1094229224789948937/24624488101285352128*c_1001_0^10 + 40888671677956436223/393991809620565634048*c_1001_0^8 + 26762931101938088303/49248976202570704256*c_1001_0^6 + 10959553273517112751/24624488101285352128*c_1001_0^4 - 290900973920820797/1539030506330334508*c_1001_0^2 - 12302174549229571/384757626582583627, c_1001_0^22 - 47*c_1001_0^20 + 595*c_1001_0^18 - 1254*c_1001_0^16 - 5803*c_1001_0^14 + 4008*c_1001_0^12 + 36768*c_1001_0^10 + 89088*c_1001_0^8 - 90880*c_1001_0^6 - 444416*c_1001_0^4 - 212992*c_1001_0^2 - 131072 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB