Magma V2.19-8 Tue Aug 20 2013 23:47:23 on localhost [Seed = 2901067491] Type ? for help. Type -D to quit. Loading file "L10a66__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a66 geometric_solution 11.11129174 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 1 1 1 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 1 0 -1 0 0 -1 1 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059600778769 0.722309941804 0 0 3 2 0132 2310 3120 3120 1 1 1 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 -3 3 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 0.355664246965 0.439231576271 1 0 5 4 3120 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 -1 0 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530871818165 0.935853278076 4 5 1 0 0132 0132 3120 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530871818165 0.935853278076 3 6 2 7 0132 0132 0132 0132 1 1 1 1 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 0 -1 1 1 0 0 -1 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050034264058 1.531494431705 8 3 9 2 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.050034264058 1.531494431705 8 4 8 10 1023 0132 1230 0132 1 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 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 0.298725860461 0.553715870404 11 11 4 9 0132 1230 0132 0132 1 1 0 1 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 1 -1 0 -1 0 1 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 5 6 11 6 0132 1023 0132 3012 1 1 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 10 10 7 5 3012 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 4 -4 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298725860461 0.553715870404 11 9 6 9 1230 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 0 1 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 0 0 0 4 0 0 -4 1 -3 0 2 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245333810959 1.398843223968 7 10 7 8 0132 3012 3012 0132 1 1 1 0 0 -1 1 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 3 -3 0 1 0 -1 0 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245333810959 1.398843223968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1001_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : 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_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3116169900746062633/535409214201608192*c_1100_2^14 - 1348129613252075051/36671863986411520*c_1100_2^13 + 321817364041139878813/2677046071008040960*c_1100_2^12 - 96823504375734393461/334630758876005120*c_1100_2^11 + 1752295911129003932087/2677046071008040960*c_1100_2^10 - 3439693578302705539559/2677046071008040960*c_1100_2^9 + 5593516198280520877573/2677046071008040960*c_1100_2^8 - 7440990424507774788973/2677046071008040960*c_1100_2^7 + 476395804428469671111/133852303550402048*c_1100_2^6 - 10492840052016002768637/2677046071008040960*c_1100_2^5 + 9615968311845443433987/2677046071008040960*c_1100_2^4 - 2288039769381064837619/669261517752010240*c_1100_2^3 + 724089937090990368763/334630758876005120*c_1100_2^2 - 2814181869672881181159/2677046071008040960*c_1100_2 + 80549996536273320191/167315379438002560, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + c_1100_2, c_0101_0 + 342695604371549/10457211214875160*c_1100_2^14 - 28535033876067/143249468696920*c_1100_2^13 + 6457042522138237/10457211214875160*c_1100_2^12 - 365753844271952/261430280371879*c_1100_2^11 + 32182850118329023/10457211214875160*c_1100_2^10 - 61407563642488487/10457211214875160*c_1100_2^9 + 94372146782391141/10457211214875160*c_1100_2^8 - 113902003779615573/10457211214875160*c_1100_2^7 + 35106975331833437/2614302803718790*c_1100_2^6 - 147767798289424141/10457211214875160*c_1100_2^5 + 121495315110550147/10457211214875160*c_1100_2^4 - 28167279765256019/2614302803718790*c_1100_2^3 + 1434686365743019/261430280371879*c_1100_2^2 - 15911149007046359/10457211214875160*c_1100_2 + 669424527703894/1307151401859395, c_0101_10 - 4839663421463/5228605607437580*c_1100_2^14 + 652951717749/71624734348460*c_1100_2^13 - 183740758759899/5228605607437580*c_1100_2^12 + 21408646788604/261430280371879*c_1100_2^11 - 807106427346121/5228605607437580*c_1100_2^10 + 1459634600798729/5228605607437580*c_1100_2^9 - 1975156991072007/5228605607437580*c_1100_2^8 + 1426513809492831/5228605607437580*c_1100_2^7 + 164636446122236/1307151401859395*c_1100_2^6 - 3163191333699293/5228605607437580*c_1100_2^5 + 6111822526901511/5228605607437580*c_1100_2^4 - 1864786922267547/1307151401859395*c_1100_2^3 + 264759761795672/261430280371879*c_1100_2^2 - 6240036732445207/5228605607437580*c_1100_2 + 408990205600014/1307151401859395, c_0101_11 + 131000439373337/5228605607437580*c_1100_2^14 - 12140308588491/71624734348460*c_1100_2^13 + 3038327092470841/5228605607437580*c_1100_2^12 - 374736854063217/261430280371879*c_1100_2^11 + 16933603782248679/5228605607437580*c_1100_2^10 - 33814971581603751/5228605607437580*c_1100_2^9 + 56045695626852333/5228605607437580*c_1100_2^8 - 75982669154284849/5228605607437580*c_1100_2^7 + 24034294914345671/1307151401859395*c_1100_2^6 - 108206559212104373/5228605607437580*c_1100_2^5 + 99316429793951951/5228605607437580*c_1100_2^4 - 22722638979531117/1307151401859395*c_1100_2^3 + 3362886691527602/261430280371879*c_1100_2^2 - 26644446684583007/5228605607437580*c_1100_2 + 2775866571333784/1307151401859395, c_0101_2 - 513243107/82564535272*c_1100_2^14 + 2617341805/82564535272*c_1100_2^13 - 6499586139/82564535272*c_1100_2^12 + 1435634099/10320566909*c_1100_2^11 - 22164453121/82564535272*c_1100_2^10 + 31029111001/82564535272*c_1100_2^9 - 20391543371/82564535272*c_1100_2^8 - 27822793749/82564535272*c_1100_2^7 + 16136895129/20641133818*c_1100_2^6 - 134542239205/82564535272*c_1100_2^5 + 196559387579/82564535272*c_1100_2^4 - 33660466425/20641133818*c_1100_2^3 + 26591002920/10320566909*c_1100_2^2 - 149289286903/82564535272*c_1100_2 + 9877903354/10320566909, c_0101_5 + 33998247516941/10457211214875160*c_1100_2^14 - 2290764218203/143249468696920*c_1100_2^13 + 359663285352933/10457211214875160*c_1100_2^12 - 10096722122925/261430280371879*c_1100_2^11 + 408176173275887/10457211214875160*c_1100_2^10 + 294865378104097/10457211214875160*c_1100_2^9 - 3356857580485451/10457211214875160*c_1100_2^8 + 10372573888764083/10457211214875160*c_1100_2^7 - 4015431581691267/2614302803718790*c_1100_2^6 + 20949141733670371/10457211214875160*c_1100_2^5 - 23056336364850717/10457211214875160*c_1100_2^4 + 3635820675740279/2614302803718790*c_1100_2^3 - 334760293099591/261430280371879*c_1100_2^2 + 8511862820604889/10457211214875160*c_1100_2 - 463101557182514/1307151401859395, c_1001_0 + 513243107/82564535272*c_1100_2^14 - 2617341805/82564535272*c_1100_2^13 + 6499586139/82564535272*c_1100_2^12 - 1435634099/10320566909*c_1100_2^11 + 22164453121/82564535272*c_1100_2^10 - 31029111001/82564535272*c_1100_2^9 + 20391543371/82564535272*c_1100_2^8 + 27822793749/82564535272*c_1100_2^7 - 16136895129/20641133818*c_1100_2^6 + 134542239205/82564535272*c_1100_2^5 - 196559387579/82564535272*c_1100_2^4 + 33660466425/20641133818*c_1100_2^3 - 26591002920/10320566909*c_1100_2^2 + 149289286903/82564535272*c_1100_2 - 9877903354/10320566909, c_1001_1 + 342695604371549/10457211214875160*c_1100_2^14 - 28535033876067/143249468696920*c_1100_2^13 + 6457042522138237/10457211214875160*c_1100_2^12 - 365753844271952/261430280371879*c_1100_2^11 + 32182850118329023/10457211214875160*c_1100_2^10 - 61407563642488487/10457211214875160*c_1100_2^9 + 94372146782391141/10457211214875160*c_1100_2^8 - 113902003779615573/10457211214875160*c_1100_2^7 + 35106975331833437/2614302803718790*c_1100_2^6 - 147767798289424141/10457211214875160*c_1100_2^5 + 121495315110550147/10457211214875160*c_1100_2^4 - 28167279765256019/2614302803718790*c_1100_2^3 + 1434686365743019/261430280371879*c_1100_2^2 - 15911149007046359/10457211214875160*c_1100_2 + 669424527703894/1307151401859395, c_1001_6 - 33998247516941/10457211214875160*c_1100_2^14 + 2290764218203/143249468696920*c_1100_2^13 - 359663285352933/10457211214875160*c_1100_2^12 + 10096722122925/261430280371879*c_1100_2^11 - 408176173275887/10457211214875160*c_1100_2^10 - 294865378104097/10457211214875160*c_1100_2^9 + 3356857580485451/10457211214875160*c_1100_2^8 - 10372573888764083/10457211214875160*c_1100_2^7 + 4015431581691267/2614302803718790*c_1100_2^6 - 20949141733670371/10457211214875160*c_1100_2^5 + 23056336364850717/10457211214875160*c_1100_2^4 - 3635820675740279/2614302803718790*c_1100_2^3 + 334760293099591/261430280371879*c_1100_2^2 - 8511862820604889/10457211214875160*c_1100_2 + 463101557182514/1307151401859395, c_1100_2^15 - 7*c_1100_2^14 + 25*c_1100_2^13 - 64*c_1100_2^12 + 147*c_1100_2^11 - 299*c_1100_2^10 + 513*c_1100_2^9 - 729*c_1100_2^8 + 948*c_1100_2^7 - 1105*c_1100_2^6 + 1095*c_1100_2^5 - 1028*c_1100_2^4 + 792*c_1100_2^3 - 451*c_1100_2^2 + 216*c_1100_2 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB