| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 46.0.175...607.1 |
$x^{46} - x^{45} + x^{44} - x^{43} + x^{42} - x^{41} + x^{40} - x^{39} + x^{38} - x^{37} + x^{36} - x^{35} + x^{34} - x^{33} + x^{32} - x^{31} + x^{30} - x^{29} + x^{28} - x^{27} + x^{26} - x^{25} + x^{24} - x^{23} + x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ |
$46$ |
[0,23] |
$-\,47^{45}$ |
$1$ |
$43.2262842007$ |
$43.22628420071431$ |
✓ |
✓ |
✓ |
$C_{46}$ (as 46T1) |
$[695]$ |
$94$ |
$22$ |
$286117566502019100$ |
| 46.2.309...821.1 |
$x^{46} - x - 1$ |
$46$ |
[2,22] |
$2144707\cdot 7098442374223\cdot 20\!\cdots\!61$ |
$3$ |
$46.0080536182$ |
$1.758647490125455e+38$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.0.128...584.1 |
$x^{46} - 2 x^{23} + 2$ |
$46$ |
[0,23] |
$-\,2^{68}\cdot 23^{46}$ |
$2$ |
$64.0809142385$ |
$72.98659370383042$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$4$ |
$22$ |
|
| 46.0.128...427.1 |
$x^{46} - 3 x^{23} + 3$ |
$46$ |
[0,23] |
$-\,3^{45}\cdot 23^{46}$ |
$2$ |
$67.3716043537$ |
$76.73460924485343$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$6$ |
$22$ |
|
| 46.0.351...787.1 |
$x^{46} - x^{45} + 23 x^{44} - 20 x^{43} + 295 x^{42} - 232 x^{41} + 2591 x^{40} - 1841 x^{39} + 17196 x^{38} - 11094 x^{37} + 90115 x^{36} - 52612 x^{35} + 383674 x^{34} - 202420 x^{33} + 1347421 x^{32} - 638602 x^{31} + 3942124 x^{30} - 1670119 x^{29} + 9645429 x^{28} - 3619962 x^{27} + 19758077 x^{26} - 6515312 x^{25} + 33775844 x^{24} - 9654035 x^{23} + 47923922 x^{22} - 11732918 x^{21} + 55884245 x^{20} - 11469872 x^{19} + 52902122 x^{18} - 8963564 x^{17} + 39899588 x^{16} - 5363639 x^{15} + 23456774 x^{14} - 2477645 x^{13} + 10388534 x^{12} - 774410 x^{11} + 3336047 x^{10} - 192764 x^{9} + 724724 x^{8} - 17303 x^{7} + 98956 x^{6} - 3718 x^{5} + 7073 x^{4} + 220 x^{3} + 210 x^{2} - 12 x + 1$ |
$46$ |
[0,23] |
$-\,3^{23}\cdot 47^{44}$ |
$2$ |
$68.8586618098$ |
$68.85866180981577$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$6$ |
$22$ |
|
| 46.46.165...989.1 |
$x^{46} - x^{45} - 46 x^{44} + 46 x^{43} + 988 x^{42} - 988 x^{41} - 13159 x^{40} + 13159 x^{39} + 121731 x^{38} - 121731 x^{37} - 830207 x^{36} + 830207 x^{35} + 4324189 x^{34} - 4324189 x^{33} - 17581994 x^{32} + 17581994 x^{31} + 56562010 x^{30} - 56562010 x^{29} - 145057650 x^{28} + 145057650 x^{27} + 297415766 x^{26} - 297415766 x^{25} - 486968926 x^{24} + 486968926 x^{23} + 633580634 x^{22} - 633580634 x^{21} - 649220446 x^{20} + 649220446 x^{19} + 516962354 x^{18} - 516962354 x^{17} - 313942891 x^{16} + 313942891 x^{15} + 141714824 x^{14} - 141714824 x^{13} - 45908941 x^{12} + 45908941 x^{11} + 10162529 x^{10} - 10162529 x^{9} - 1431196 x^{8} + 1431196 x^{7} + 114634 x^{6} - 114634 x^{5} - 4276 x^{4} + 4276 x^{3} + 48 x^{2} - 48 x + 1$ |
$46$ |
[46,0] |
$3^{23}\cdot 47^{45}$ |
$2$ |
$74.870120458$ |
$74.87012045804902$ |
|
✓ |
✓ |
$C_{46}$ (as 46T1) |
trivial |
$2$ |
$45$ |
$45504514750422600000000000000$ |
| 46.0.262...384.1 |
$x^{46} + 45 x^{44} + 946 x^{42} + 12341 x^{40} + 111930 x^{38} + 749398 x^{36} + 3838380 x^{34} + 15380937 x^{32} + 48903492 x^{30} + 124403620 x^{28} + 254186856 x^{26} + 417225900 x^{24} + 548354040 x^{22} + 573166440 x^{20} + 471435600 x^{18} + 300540195 x^{16} + 145422675 x^{14} + 51895935 x^{12} + 13123110 x^{10} + 2220075 x^{8} + 230230 x^{6} + 12650 x^{4} + 276 x^{2} + 1$ |
$46$ |
[0,23] |
$-\,2^{46}\cdot 47^{44}$ |
$2$ |
$79.5111338639$ |
$79.51113386386908$ |
✓ |
✓ |
✓ |
$C_{46}$ (as 46T1) |
not computed |
$4$ |
$22$ |
|
| 46.2.174...489.1 |
$x^{46} - 4 x - 1$ |
$46$ |
[2,22] |
$7\cdot 324901\cdot 64588348141\cdot 216832421280667\cdot 54\!\cdots\!41$ |
$5$ |
$82.8520210735$ |
$1.3212088077278106e+44$ |
|
|
? |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.46.123...048.1 |
$x^{46} - 47 x^{44} + 1034 x^{42} - 14147 x^{40} + 134890 x^{38} - 951938 x^{36} + 5154396 x^{34} - 21906183 x^{32} + 74144004 x^{30} - 201619660 x^{28} + 442473416 x^{26} - 784384692 x^{24} + 1120549560 x^{22} - 1282801080 x^{20} + 1166182800 x^{18} - 830905245 x^{16} + 455657715 x^{14} - 187623765 x^{12} + 56071470 x^{10} - 11593725 x^{8} + 1545830 x^{6} - 118910 x^{4} + 4324 x^{2} - 47$ |
$46$ |
[46,0] |
$2^{46}\cdot 47^{45}$ |
$2$ |
$86.4525684014$ |
$86.45256840142862$ |
|
✓ |
✓ |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.46.445...125.1 |
$x^{46} - x^{45} - 67 x^{44} + 62 x^{43} + 2017 x^{42} - 1712 x^{41} - 36151 x^{40} + 27871 x^{39} + 431244 x^{38} - 298794 x^{37} - 3629323 x^{36} + 2234528 x^{35} + 22311838 x^{34} - 12065268 x^{33} - 102471229 x^{32} + 48099584 x^{31} + 356957890 x^{30} - 143761015 x^{29} - 952979825 x^{28} + 325518500 x^{27} + 1962978291 x^{26} - 562037616 x^{25} - 3130570732 x^{24} + 742002577 x^{23} + 3866596078 x^{22} - 748176098 x^{21} - 3686881837 x^{20} + 573064052 x^{19} + 2694891598 x^{18} - 329962748 x^{17} - 1492308292 x^{16} + 140457727 x^{15} + 615043968 x^{14} - 43115073 x^{13} - 183867242 x^{12} + 9203272 x^{11} + 38414233 x^{10} - 1297868 x^{9} - 5308732 x^{8} + 114257 x^{7} + 445588 x^{6} - 6578 x^{5} - 19657 x^{4} + 352 x^{3} + 342 x^{2} - 12 x - 1$ |
$46$ |
[46,0] |
$5^{23}\cdot 47^{44}$ |
$2$ |
$88.8961501438$ |
$88.89615014384839$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.2.557...536.1 |
$x^{46} - 4 x - 4$ |
$46$ |
[2,22] |
$2^{46}\cdot 7\cdot 41\cdot 1669\cdot 70327\cdot 263387\cdot 704161\cdot 12\!\cdots\!47$ |
$8$ |
$89.3305641904$ |
|
|
|
? |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.0.107...072.1 |
$x^{46} + 2$ |
$46$ |
[0,23] |
$-\,2^{91}\cdot 23^{46}$ |
$2$ |
$90.6240980053$ |
$103.21863068737174$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$22$ |
|
| 46.2.107...072.1 |
$x^{46} - 2$ |
$46$ |
[2,22] |
$2^{91}\cdot 23^{46}$ |
$2$ |
$90.6240980053$ |
$103.21863068737174$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
|
| 46.2.109...072.1 |
$x^{46} - 2 x - 2$ |
$46$ |
[2,22] |
$2^{46}\cdot 11\cdot 47\cdot 373\cdot 653\cdot 1632597852101263\cdot 9525506010469146257929367\cdot 7960075042464187254985690481$ |
$8$ |
$90.6557066903$ |
|
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.0.209...875.1 |
$x^{46} - x^{45} + 48 x^{44} - 48 x^{43} + 1082 x^{42} - 1082 x^{41} + 15229 x^{40} - 15229 x^{39} + 150119 x^{38} - 150119 x^{37} + 1102057 x^{36} - 1102057 x^{35} + 6256453 x^{34} - 6256453 x^{33} + 28162636 x^{32} - 28162636 x^{31} + 102306640 x^{30} - 102306640 x^{29} + 303926300 x^{28} - 303926300 x^{27} + 746399716 x^{26} - 746399716 x^{25} + 1530784408 x^{24} - 1530784408 x^{23} + 2651333968 x^{22} - 2651333968 x^{21} + 3934135048 x^{20} - 3934135048 x^{19} + 5100317848 x^{18} - 5100317848 x^{17} + 5931223093 x^{16} - 5931223093 x^{15} + 6386880808 x^{14} - 6386880808 x^{13} + 6574504573 x^{12} - 6574504573 x^{11} + 6630576043 x^{10} - 6630576043 x^{9} + 6642169768 x^{8} - 6642169768 x^{7} + 6643715598 x^{6} - 6643715598 x^{5} + 6643834508 x^{4} - 6643834508 x^{3} + 6643838832 x^{2} - 6643838832 x + 6643838879$ |
$46$ |
[0,23] |
$-\,5^{23}\cdot 47^{45}$ |
$2$ |
$96.6569098875$ |
$96.65690988752236$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.102...983.1 |
$x^{46} - x^{45} + 68 x^{44} - 61 x^{43} + 2272 x^{42} - 1838 x^{41} + 49088 x^{40} - 35837 x^{39} + 764082 x^{38} - 502716 x^{37} + 9061304 x^{36} - 5356876 x^{35} + 84584992 x^{34} - 44739144 x^{33} + 634011776 x^{32} - 298356295 x^{31} + 3862036333 x^{30} - 1605788227 x^{29} + 19242860452 x^{28} - 7010057107 x^{27} + 78601898736 x^{26} - 24835843890 x^{25} + 262854128576 x^{24} - 71169036677 x^{23} + 716241923902 x^{22} - 163773410984 x^{21} + 1577302832552 x^{20} - 299245739680 x^{19} + 2773773179200 x^{18} - 427289762048 x^{17} + 3831228318848 x^{16} - 466369885184 x^{15} + 4064622286848 x^{14} - 377834643456 x^{13} + 3213707960320 x^{12} - 217643319296 x^{11} + 1816862654464 x^{10} - 84719697920 x^{9} + 692213350400 x^{8} - 19502399488 x^{7} + 162748039168 x^{6} - 3073900544 x^{5} + 20306198528 x^{4} + 161480704 x^{3} + 1019215872 x^{2} - 50331648 x + 8388608$ |
$46$ |
[0,23] |
$-\,7^{23}\cdot 47^{44}$ |
$2$ |
$105.183343332$ |
$105.1833433322819$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.2.123...125.1 |
$x^{46} - 5$ |
$46$ |
[2,22] |
$5^{45}\cdot 23^{46}$ |
$2$ |
$111.045979765$ |
$126.47865443031209$ |
|
|
? |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
|
| 46.0.220...472.1 |
$x^{46} + 90 x^{44} + 3784 x^{42} + 98728 x^{40} + 1790880 x^{38} + 23980736 x^{36} + 245656320 x^{34} + 1968759936 x^{32} + 12519293952 x^{30} + 63694653440 x^{28} + 260287340544 x^{26} + 854478643200 x^{24} + 2246058147840 x^{22} + 4695379476480 x^{20} + 7724000870400 x^{18} + 9848101109760 x^{16} + 9530420428800 x^{14} + 6802103992320 x^{12} + 3440144547840 x^{10} + 1163958681600 x^{8} + 241413652480 x^{6} + 26528972800 x^{4} + 1157627904 x^{2} + 8388608$ |
$46$ |
[0,23] |
$-\,2^{69}\cdot 47^{44}$ |
$2$ |
$112.44572387$ |
$112.44572386994633$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.46.220...472.1 |
$x^{46} - 90 x^{44} + 3784 x^{42} - 98728 x^{40} + 1790880 x^{38} - 23980736 x^{36} + 245656320 x^{34} - 1968759936 x^{32} + 12519293952 x^{30} - 63694653440 x^{28} + 260287340544 x^{26} - 854478643200 x^{24} + 2246058147840 x^{22} - 4695379476480 x^{20} + 7724000870400 x^{18} - 9848101109760 x^{16} + 9530420428800 x^{14} - 6802103992320 x^{12} + 3440144547840 x^{10} - 1163958681600 x^{8} + 241413652480 x^{6} - 26528972800 x^{4} + 1157627904 x^{2} - 8388608$ |
$46$ |
[46,0] |
$2^{69}\cdot 47^{44}$ |
$2$ |
$112.44572387$ |
$112.44572386994633$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.46.480...201.1 |
$x^{46} - x^{45} - 93 x^{44} + 93 x^{43} + 4043 x^{42} - 4043 x^{41} - 109133 x^{40} + 109133 x^{39} + 2049107 x^{38} - 2049107 x^{37} - 28412909 x^{36} + 28412909 x^{35} + 301468435 x^{34} - 301468435 x^{33} - 2502522989 x^{32} + 2502522989 x^{31} + 16478342035 x^{30} - 16478342035 x^{29} - 86750923885 x^{28} + 86750923885 x^{27} + 366341854099 x^{26} - 366341854099 x^{25} - 1240077995117 x^{24} + 1240077995117 x^{23} + 3349693002643 x^{22} - 3349693002643 x^{21} - 7159013444717 x^{20} + 7159013444717 x^{19} + 11947725550483 x^{18} - 11947725550483 x^{17} - 15279377517677 x^{16} + 15279377517677 x^{15} + 14582606492563 x^{14} - 14582606492563 x^{13} - 10009615633517 x^{12} + 10009615633517 x^{11} + 4689183798163 x^{10} - 4689183798163 x^{9} - 1389267094637 x^{8} + 1389267094637 x^{7} + 231653143443 x^{6} - 231653143443 x^{5} - 17719200877 x^{4} + 17719200877 x^{3} + 416969619 x^{2} - 416969619 x + 22705043$ |
$46$ |
[46,0] |
$7^{23}\cdot 47^{45}$ |
$2$ |
$114.365998096$ |
$114.36599809649049$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.0.749...368.1 |
$x^{46} - 2 x + 3$ |
$46$ |
[0,23] |
$-\,2^{47}\cdot 3^{45}\cdot 40739891922760603\cdot 108253239392882437561\cdot 408511528412100333650099$ |
$5$ |
$121.402866832$ |
|
|
|
? |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$22$ |
|
| 46.0.103...184.1 |
$x^{46} + 94 x^{44} + 4136 x^{42} + 113176 x^{40} + 2158240 x^{38} + 30462016 x^{36} + 329881344 x^{34} + 2803991424 x^{32} + 18980865024 x^{30} + 103229265920 x^{28} + 453092777984 x^{26} + 1606419849216 x^{24} + 4589770997760 x^{22} + 10508706447360 x^{20} + 19106738995200 x^{18} + 27227103068160 x^{16} + 29861984010240 x^{14} + 24592222126080 x^{12} + 14698799431680 x^{10} + 6078450892800 x^{8} + 1620920238080 x^{6} + 249372344320 x^{4} + 18136170496 x^{2} + 394264576$ |
$46$ |
[0,23] |
$-\,2^{69}\cdot 47^{45}$ |
$2$ |
$122.262394735$ |
$122.26239473528804$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.46.103...184.1 |
$x^{46} - 94 x^{44} + 4136 x^{42} - 113176 x^{40} + 2158240 x^{38} - 30462016 x^{36} + 329881344 x^{34} - 2803991424 x^{32} + 18980865024 x^{30} - 103229265920 x^{28} + 453092777984 x^{26} - 1606419849216 x^{24} + 4589770997760 x^{22} - 10508706447360 x^{20} + 19106738995200 x^{18} - 27227103068160 x^{16} + 29861984010240 x^{14} - 24592222126080 x^{12} + 14698799431680 x^{10} - 6078450892800 x^{8} + 1620920238080 x^{6} - 249372344320 x^{4} + 18136170496 x^{2} - 394264576$ |
$46$ |
[46,0] |
$2^{69}\cdot 47^{45}$ |
$2$ |
$122.262394735$ |
$122.26239473528804$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.2.219...821.1 |
$x^{46} - 3 x - 1$ |
$46$ |
[2,22] |
$7\cdot 281\cdot 37607\cdot 199921\cdot 14\!\cdots\!29$ |
$5$ |
$124.27803161$ |
$1.482758486911377e+48$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.2.219...197.1 |
$x^{46} - 3 x - 2$ |
$46$ |
[2,22] |
$7\cdot 47\cdot 4697389783\cdot 17089161961\cdot 2184815465401\cdot 733058611398596401\cdot 51\!\cdots\!11$ |
$7$ |
$124.278032937$ |
$1.482758850918259e+48$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.0.272...299.1 |
$x^{46} - x^{45} + 2 x^{44} + 88 x^{43} - 81 x^{42} + 155 x^{41} + 3247 x^{40} - 2737 x^{39} + 4990 x^{38} + 65894 x^{37} - 50535 x^{36} + 87297 x^{35} + 812047 x^{34} - 562441 x^{33} + 914794 x^{32} + 6340570 x^{31} - 3933649 x^{30} + 5969903 x^{29} + 31840228 x^{28} - 17522906 x^{27} + 24664884 x^{26} + 102351606 x^{25} - 49045994 x^{24} + 67898048 x^{23} + 203991966 x^{22} - 79205588 x^{21} + 147048808 x^{20} + 226793510 x^{19} - 44044110 x^{18} + 277327722 x^{17} + 97270295 x^{16} + 52705940 x^{15} + 374031026 x^{14} - 2906153 x^{13} + 88850041 x^{12} + 243869890 x^{11} + 66181028 x^{10} + 138359819 x^{9} + 68541629 x^{8} + 60480343 x^{7} + 77496743 x^{6} - 68525839 x^{5} + 45005646 x^{4} - 25416074 x^{3} - 12752729 x^{2} + 8659371 x + 2726249$ |
$46$ |
[0,23] |
$-\,139^{45}$ |
$1$ |
$124.861205034$ |
$124.86120503438597$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.334...411.1 |
$x^{46} - 21 x^{45} + 234 x^{44} - 1813 x^{43} + 11104 x^{42} - 57853 x^{41} + 268455 x^{40} - 1137429 x^{39} + 4465637 x^{38} - 16402546 x^{37} + 56828720 x^{36} - 186820582 x^{35} + 585518431 x^{34} - 1755193762 x^{33} + 5047798326 x^{32} - 13956961576 x^{31} + 37178279250 x^{30} - 95529053696 x^{29} + 237111330579 x^{28} - 568897301282 x^{27} + 1320756058230 x^{26} - 2967568274611 x^{25} + 6457810749477 x^{24} - 13607127733128 x^{23} + 27776633354903 x^{22} - 54891520145448 x^{21} + 105060081565914 x^{20} - 194491671575647 x^{19} + 348417978801750 x^{18} - 602707519775443 x^{17} + 1007440894372913 x^{16} - 1621717831102939 x^{15} + 2517231470674524 x^{14} - 3747360102999732 x^{13} + 5363969908946175 x^{12} - 7317027854923049 x^{11} + 9562510933179307 x^{10} - 11787888134809172 x^{9} + 13862890922775304 x^{8} - 15106564909634047 x^{7} + 15643485715141214 x^{6} - 14502253394888869 x^{5} + 12777846887095319 x^{4} - 9315770272382043 x^{3} + 6584077168581835 x^{2} - 3020416683060232 x + 1523302345994551$ |
$46$ |
[0,23] |
$-\,11^{23}\cdot 47^{44}$ |
$2$ |
$131.854298841$ |
$131.85429884108746$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.2.906...528.1 |
$x^{46} - 3$ |
$46$ |
[2,22] |
$2^{46}\cdot 3^{45}\cdot 23^{46}$ |
$3$ |
$134.743208707$ |
$153.46921848970686$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
|
| 46.2.906...653.1 |
$x^{46} - x - 3$ |
$46$ |
[2,22] |
$3^{45}\cdot 17\cdot 12143\cdot 14\!\cdots\!41$ |
$4$ |
$134.743208707$ |
|
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.46.247...568.1 |
$x^{46} - 2 x^{45} - 112 x^{44} + 218 x^{43} + 5713 x^{42} - 10796 x^{41} - 175759 x^{40} + 321578 x^{39} + 3640569 x^{38} - 6429108 x^{37} - 53679062 x^{36} + 91168168 x^{35} + 580933861 x^{34} - 944995322 x^{33} - 4690600862 x^{32} + 7273130902 x^{31} + 28447305226 x^{30} - 41812973042 x^{29} - 129501143256 x^{28} + 179268136002 x^{27} + 439325593874 x^{26} - 568431783454 x^{25} - 1095481009606 x^{24} + 1313118990890 x^{23} + 1966263727274 x^{22} - 2161106685334 x^{21} - 2466848961868 x^{20} + 2457189744590 x^{19} + 2078976791930 x^{18} - 1853404680970 x^{17} - 1116883023433 x^{16} + 880987194236 x^{15} + 358010044796 x^{14} - 248497252516 x^{13} - 63604513444 x^{12} + 39246867980 x^{11} + 5926504964 x^{10} - 3353727748 x^{9} - 285501034 x^{8} + 152340728 x^{7} + 6709600 x^{6} - 3466424 x^{5} - 67372 x^{4} + 33776 x^{3} + 264 x^{2} - 96 x + 1$ |
$46$ |
[46,0] |
$2^{46}\cdot 3^{23}\cdot 47^{44}$ |
$3$ |
$137.71732362$ |
$137.71732361963154$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.46.155...357.1 |
$x^{46} - 21 x^{45} + 96 x^{44} + 959 x^{43} - 9950 x^{42} - 1825 x^{41} + 335613 x^{40} - 834537 x^{39} - 5657221 x^{38} + 26988590 x^{37} + 44109968 x^{36} - 443216122 x^{35} + 100002271 x^{34} + 4479212294 x^{33} - 6237187098 x^{32} - 28571535040 x^{31} + 72586582734 x^{30} + 103336700236 x^{29} - 480319603281 x^{28} - 66786211526 x^{27} + 2018290007358 x^{26} - 1355370040843 x^{25} - 5285056712013 x^{24} + 7582856629140 x^{23} + 7178933729591 x^{22} - 20645533933596 x^{21} + 1046437412802 x^{20} + 31269803408789 x^{19} - 21465428316192 x^{18} - 22251983955427 x^{17} + 34519826963183 x^{16} - 2181540751435 x^{15} - 22787259295206 x^{14} + 14052337420836 x^{13} + 3424903604271 x^{12} - 7356504751997 x^{11} + 2524580197417 x^{10} + 719437437556 x^{9} - 822188957900 x^{8} + 216958911989 x^{7} + 16546070228 x^{6} - 23274902617 x^{5} + 5444167373 x^{4} - 387991071 x^{3} - 44784143 x^{2} + 9031748 x - 400721$ |
$46$ |
[46,0] |
$13^{23}\cdot 47^{44}$ |
$2$ |
$143.340735058$ |
$143.3407350582306$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.46.157...317.1 |
$x^{46} - x^{45} - 140 x^{44} + 140 x^{43} + 9166 x^{42} - 9166 x^{41} - 372803 x^{40} + 372803 x^{39} + 10553287 x^{38} - 10553287 x^{37} - 220767647 x^{36} + 220767647 x^{35} + 3536787037 x^{34} - 3536787037 x^{33} - 44372035184 x^{32} + 44372035184 x^{31} + 442086775060 x^{30} - 442086775060 x^{29} - 3526392992720 x^{28} + 3526392992720 x^{27} + 22601219748664 x^{26} - 22601219748664 x^{25} - 116350175285060 x^{24} + 116350175285060 x^{23} + 479155803430900 x^{22} - 479155803430900 x^{21} - 1566043462837940 x^{20} + 1566043462837940 x^{19} + 4011772717895260 x^{18} - 4011772717895260 x^{17} - 7910809368421955 x^{16} + 7910809368421955 x^{15} + 11703761160680560 x^{14} - 11703761160680560 x^{13} - 12526002434093135 x^{12} + 12526002434093135 x^{11} + 9197233892255695 x^{10} - 9197233892255695 x^{9} - 4277705934238880 x^{8} + 4277705934238880 x^{7} + 1112269996358950 x^{6} - 1112269996358950 x^{5} - 131570603009780 x^{4} + 131570603009780 x^{3} + 4121098739536 x^{2} - 4121098739536 x - 303630665333$ |
$46$ |
[46,0] |
$11^{23}\cdot 47^{45}$ |
$2$ |
$143.365365775$ |
$143.36536577503702$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.0.116...696.1 |
$x^{46} + 141 x^{44} + 9306 x^{42} + 381969 x^{40} + 10926090 x^{38} + 231320934 x^{36} + 3757554684 x^{34} + 47908822221 x^{32} + 486458810244 x^{30} + 3968479767780 x^{28} + 26127612741384 x^{26} + 138951395033724 x^{24} + 595505978715960 x^{22} + 2045199266268840 x^{20} + 5577816180733200 x^{18} + 11922582086317215 x^{16} + 19614570529102515 x^{14} + 24229763594773695 x^{12} + 21723236326348830 x^{10} + 13474939826494575 x^{8} + 5389975930597830 x^{6} + 1243840599368730 x^{4} + 135691701749316 x^{2} + 4424729404869$ |
$46$ |
[0,23] |
$-\,2^{46}\cdot 3^{23}\cdot 47^{45}$ |
$3$ |
$149.740240916$ |
$149.74024091609803$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.419...375.1 |
$x^{46} - 21 x^{45} + 257 x^{44} - 2275 x^{43} + 16384 x^{42} - 101148 x^{41} + 555868 x^{40} - 2773061 x^{39} + 12764350 x^{38} - 54717566 x^{37} + 220411975 x^{36} - 838622105 x^{35} + 3030581020 x^{34} - 10433377545 x^{33} + 34346625500 x^{32} - 108311066940 x^{31} + 328058481150 x^{30} - 955269123060 x^{29} + 2679603110905 x^{28} - 7242985668834 x^{27} + 18895590411056 x^{26} - 47565631805041 x^{25} + 115691372227157 x^{24} - 271669498342240 x^{23} + 616666273593665 x^{22} - 1351191092366848 x^{21} + 2861502035274188 x^{20} - 5844226298666601 x^{19} + 11528422276701890 x^{18} - 21892211952456407 x^{17} + 40102623357336934 x^{16} - 70512951104599839 x^{15} + 119377822272400223 x^{14} - 193124835740771010 x^{13} + 300080474989777953 x^{12} - 442454098080721470 x^{11} + 624685689856470240 x^{10} - 827583193065916590 x^{9} + 1046376694212400500 x^{8} - 1217672042714811795 x^{7} + 1349148741219481645 x^{6} - 1325965235556309370 x^{5} + 1244120066328799465 x^{4} - 953228966874939950 x^{3} + 714248269821476266 x^{2} - 340555683118656924 x + 181351969023278929$ |
$46$ |
[0,23] |
$-\,3^{23}\cdot 5^{23}\cdot 47^{44}$ |
$3$ |
$153.972648646$ |
$153.97264864641676$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.732...779.1 |
$x^{46} - x^{45} + 142 x^{44} - 142 x^{43} + 9448 x^{42} - 9448 x^{41} + 391417 x^{40} - 391417 x^{39} + 11317507 x^{38} - 11317507 x^{37} + 242638441 x^{36} - 242638441 x^{35} + 4000193125 x^{34} - 4000193125 x^{33} + 51909015346 x^{32} - 51909015346 x^{31} + 538367825590 x^{30} - 538367825590 x^{29} + 4506847593370 x^{28} - 4506847593370 x^{27} + 30634460334754 x^{26} - 30634460334754 x^{25} + 169585855368478 x^{24} - 169585855368478 x^{23} + 765091834084438 x^{22} - 765091834084438 x^{21} + 2810291100353278 x^{20} - 2810291100353278 x^{19} + 8388107281086478 x^{18} - 8388107281086478 x^{17} + 20310689367403693 x^{16} - 20310689367403693 x^{15} + 39925259896506208 x^{14} - 39925259896506208 x^{13} + 64155023491279903 x^{12} - 64155023491279903 x^{11} + 85878259817628733 x^{10} - 85878259817628733 x^{9} + 99353199644123308 x^{8} - 99353199644123308 x^{7} + 104743175574721138 x^{6} - 104743175574721138 x^{5} + 105987016174089868 x^{4} - 105987016174089868 x^{3} + 106122707875839184 x^{2} - 106122707875839184 x + 106127132605244053$ |
$46$ |
[0,23] |
$-\,13^{23}\cdot 47^{45}$ |
$2$ |
$155.854584133$ |
$155.85458413345435$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.46.745...953.1 |
$x^{46} - 21 x^{45} + 73 x^{44} + 1421 x^{43} - 11688 x^{42} - 26444 x^{41} + 546236 x^{40} - 558165 x^{39} - 13539434 x^{38} + 38887682 x^{37} + 198165559 x^{36} - 953908281 x^{35} - 1585626860 x^{34} + 14055045207 x^{33} + 1701891748 x^{32} - 138250018268 x^{31} + 118227770318 x^{30} + 930739433436 x^{29} - 1556712461447 x^{28} - 4178682238866 x^{27} + 11035652521488 x^{26} + 10987735268927 x^{25} - 50739738063011 x^{24} - 5484554605648 x^{23} + 156065664472465 x^{22} - 77317124353840 x^{21} - 311756013664852 x^{20} + 322923109252823 x^{19} + 358854058053978 x^{18} - 654285125328791 x^{17} - 121542555999522 x^{16} + 747597202506305 x^{15} - 238938997532233 x^{14} - 446598845373746 x^{13} + 338106614748625 x^{12} + 84876395506850 x^{11} - 169897816857232 x^{10} + 35149679050450 x^{9} + 30632897477284 x^{8} - 16416412614675 x^{7} + 339728947397 x^{6} + 1582850521398 x^{5} - 368809772071 x^{4} - 3099673998 x^{3} + 9657569242 x^{2} - 879698940 x + 6455921$ |
$46$ |
[46,0] |
$17^{23}\cdot 47^{44}$ |
$2$ |
$163.916401667$ |
$163.91640166667875$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.2.122...304.1 |
$x^{46} - 4 x + 1$ |
$46$ |
[2,22] |
$2^{46}\cdot 41\cdot 191\cdot 5879\cdot 14029\cdot 158611\cdot 17\!\cdots\!81$ |
$7$ |
$165.704042147$ |
|
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
|
| 46.46.197...625.1 |
$x^{46} - x^{45} - 187 x^{44} + 187 x^{43} + 16357 x^{42} - 16357 x^{41} - 889051 x^{40} + 889051 x^{39} + 33642789 x^{38} - 33642789 x^{37} - 941141723 x^{36} + 941141723 x^{35} + 20171264293 x^{34} - 20171264293 x^{33} - 338739637979 x^{32} + 338739637979 x^{31} + 4520361808165 x^{30} - 4520361808165 x^{29} - 48333022342875 x^{28} + 48333022342875 x^{27} + 415633982312741 x^{26} - 415633982312741 x^{25} - 2874313868881627 x^{24} + 2874313868881627 x^{23} + 15925388137943333 x^{22} - 15925388137943333 x^{21} - 70161935078829787 x^{20} + 70161935078829787 x^{19} + 242882876618527013 x^{18} - 242882876618527013 x^{17} - 649294836718939867 x^{16} + 649294836718939867 x^{15} + 1307740147376148773 x^{14} - 1307740147376148773 x^{13} - 1915611591133408987 x^{12} + 1915611591133408987 x^{11} + 1937590487084912933 x^{10} - 1937590487084912933 x^{9} - 1249268374599413467 x^{8} + 1249268374599413467 x^{7} + 450389684965560613 x^{6} - 450389684965560613 x^{5} - 72582025669816027 x^{4} + 72582025669816027 x^{3} + 3486586786238757 x^{2} - 3486586786238757 x + 179255809888549$ |
$46$ |
[46,0] |
$3^{23}\cdot 5^{23}\cdot 47^{45}$ |
$3$ |
$167.414678828$ |
$167.4146788277953$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.0.963...579.1 |
$x^{46} - 21 x^{45} + 280 x^{44} - 2737 x^{43} + 22170 x^{42} - 154145 x^{41} + 956933 x^{40} - 5379033 x^{39} + 27886243 x^{38} - 134248450 x^{37} + 606496288 x^{36} - 2580676650 x^{35} + 10412975743 x^{34} - 39920376954 x^{33} + 146107747414 x^{32} - 510964368992 x^{31} + 1713645236702 x^{30} - 5512052557476 x^{29} + 17054425501759 x^{28} - 50730506723382 x^{27} + 145445655971166 x^{26} - 401467681974859 x^{25} + 1069363344649915 x^{24} - 2743875089714332 x^{23} + 6797884140501079 x^{22} - 16220179768462732 x^{21} + 37368762579922514 x^{20} - 82830583629409339 x^{19} + 177181015929801720 x^{18} - 363931247102399123 x^{17} + 720639735990585495 x^{16} - 1365869353643320843 x^{15} + 2491905369702459650 x^{14} - 4330190064722950604 x^{13} + 7228480682418043087 x^{12} - 11405749818173784685 x^{11} + 17248944398622077393 x^{10} - 24356420142161515772 x^{9} + 32892937884911140180 x^{8} - 40615318559022977115 x^{7} + 47943875275560939644 x^{6} - 49733323681891310169 x^{5} + 49623712340431236341 x^{4} - 39861978482127425967 x^{3} + 31755951074013931513 x^{2} - 15726577420274467740 x + 8942103583744060031$ |
$46$ |
[0,23] |
$-\,19^{23}\cdot 47^{44}$ |
$2$ |
$173.290498699$ |
$173.29049869947002$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.313...000.1 |
$x^{46} - 2 x^{45} + 72 x^{44} - 134 x^{43} + 2897 x^{42} - 5084 x^{41} + 82681 x^{40} - 137302 x^{39} + 1842969 x^{38} - 2901188 x^{37} + 33715618 x^{36} - 50329496 x^{35} + 521486533 x^{34} - 737794426 x^{33} + 6950305674 x^{32} - 9307575658 x^{31} + 80830810890 x^{30} - 102256954530 x^{29} + 827118937400 x^{28} - 985841461150 x^{27} + 7485767552466 x^{26} - 8377390757582 x^{25} + 60086694646762 x^{24} - 62865657320214 x^{23} + 428031087265258 x^{22} - 416431202055206 x^{21} + 2702388396162372 x^{20} - 2428526763878674 x^{19} + 15070583707733498 x^{18} - 12405066876040346 x^{17} + 73818176925261607 x^{16} - 55061310307265284 x^{15} + 314907625765820988 x^{14} - 209899452928866436 x^{13} + 1155981973200414012 x^{12} - 675750258479061684 x^{11} + 3589387159241937348 x^{10} - 1792691375628199716 x^{9} + 9196110333365905782 x^{8} - 3775417247902685064 x^{7} + 18723655041560322848 x^{6} - 5938123951190841976 x^{5} + 28494792795353584212 x^{4} - 6222180685713906064 x^{3} + 28908055782216940872 x^{2} - 3269673707415701984 x + 14713531683370658881$ |
$46$ |
[0,23] |
$-\,2^{46}\cdot 5^{23}\cdot 47^{44}$ |
$3$ |
$177.792300288$ |
$177.79230028769678$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.350...791.1 |
$x^{46} - x^{45} + 189 x^{44} - 189 x^{43} + 16733 x^{42} - 16733 x^{41} + 922141 x^{40} - 922141 x^{39} + 35453981 x^{38} - 35453981 x^{37} + 1010238493 x^{36} - 1010238493 x^{35} + 22122644509 x^{34} - 22122644509 x^{33} + 381033546781 x^{32} - 381033546781 x^{31} + 5240134992925 x^{30} - 5240134992925 x^{29} + 58093519143965 x^{28} - 58093519143965 x^{27} + 522060523799581 x^{26} - 522060523799581 x^{25} + 3812008374993949 x^{24} - 3812008374993949 x^{23} + 22611710381818909 x^{22} - 22611710381818909 x^{21} + 108699033598592029 x^{20} - 108699033598592029 x^{19} + 421743845295948829 x^{18} - 421743845295948829 x^{17} + 1313921558633415709 x^{16} - 1313921558633415709 x^{15} + 3270956542728504349 x^{14} - 3270956542728504349 x^{13} + 6494308281238062109 x^{12} - 6494308281238062109 x^{11} + 10347510359456384029 x^{10} - 10347510359456384029 x^{9} + 13534369221140710429 x^{8} - 13534369221140710429 x^{7} + 15234027280705684509 x^{6} - 15234027280705684509 x^{5} + 15756998991341061149 x^{4} - 15756998991341061149 x^{3} + 15833067603797115933 x^{2} - 15833067603797115933 x + 15836374934773466141$ |
$46$ |
[0,23] |
$-\,17^{23}\cdot 47^{45}$ |
$2$ |
$178.226535563$ |
$178.22653556251296$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.46.962...941.1 |
$x^{46} - 21 x^{45} + 50 x^{44} + 1883 x^{43} - 12920 x^{42} - 60765 x^{41} + 785503 x^{40} + 300187 x^{39} - 25575587 x^{38} + 40214110 x^{37} + 521735008 x^{36} - 1564306550 x^{35} - 6949929857 x^{34} + 31787689566 x^{33} + 57756246374 x^{32} - 425729426952 x^{31} - 210107630718 x^{30} + 4019949670704 x^{29} - 1386075895421 x^{28} - 27371507035122 x^{27} + 26650221853526 x^{26} + 134194010274701 x^{25} - 206486899342915 x^{24} - 461722534108312 x^{23} + 1009252077539639 x^{22} + 1036539452322248 x^{21} - 3366962181446806 x^{20} - 1164849476322639 x^{19} + 7767671494048670 x^{18} - 741931405771523 x^{17} - 12201690528858935 x^{16} + 5045104955656677 x^{15} + 12550562657707220 x^{14} - 8456879148847524 x^{13} - 7865485324249473 x^{12} + 7415009326963335 x^{11} + 2594178944982243 x^{10} - 3580244990409732 x^{9} - 271735536883800 x^{8} + 897997567222545 x^{7} - 44388322932266 x^{6} - 100983278491909 x^{5} + 8398133311471 x^{4} + 3441355105333 x^{3} - 332318327837 x^{2} - 17482059720 x + 1254092071$ |
$46$ |
[46,0] |
$3^{23}\cdot 7^{23}\cdot 47^{44}$ |
$3$ |
$182.182894761$ |
$182.18289476147334$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.46.452...213.1 |
$x^{46} - x^{45} - 234 x^{44} + 234 x^{43} + 25616 x^{42} - 25616 x^{41} - 1742759 x^{40} + 1742759 x^{39} + 82563491 x^{38} - 82563491 x^{37} - 2892242759 x^{36} + 2892242759 x^{35} + 77645194741 x^{34} - 77645194741 x^{33} - 1633775352134 x^{32} + 1633775352134 x^{31} + 27328726210366 x^{30} - 27328726210366 x^{29} - 366459672227134 x^{28} + 366459672227134 x^{27} + 3954569780897866 x^{26} - 3954569780897866 x^{25} - 34345464008164634 x^{24} + 34345464008164634 x^{23} + 239226205913710366 x^{22} - 239226205913710366 x^{21} - 1326693081195664634 x^{20} + 1326693081195664634 x^{19} + 5791121860210585366 x^{18} - 5791121860210585366 x^{17} - 19566093868549180259 x^{16} + 19566093868549180259 x^{15} + 49961755710308241616 x^{14} - 49961755710308241616 x^{13} - 93183816952045274009 x^{12} + 93183816952045274009 x^{11} + 120711866336528944741 x^{10} - 120711866336528944741 x^{9} - 100420888943012070884 x^{8} + 100420888943012070884 x^{7} + 47000947910015272866 x^{6} - 47000947910015272866 x^{5} - 9699758571918320884 x^{4} + 9699758571918320884 x^{3} + 609460788433241616 x^{2} - 609460788433241616 x + 49177127544569741$ |
$46$ |
[46,0] |
$19^{23}\cdot 47^{45}$ |
$2$ |
$188.419004536$ |
$188.41900453568252$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.0.779...727.1 |
$x^{46} - 21 x^{45} + 303 x^{44} - 3199 x^{43} + 28462 x^{42} - 216844 x^{41} + 1482276 x^{40} - 9149385 x^{39} + 52159796 x^{38} - 275416018 x^{37} + 1364962019 x^{36} - 6356196961 x^{35} + 28058790010 x^{34} - 117422665453 x^{33} + 468880651758 x^{32} - 1785260085988 x^{31} + 6514636802898 x^{30} - 22754700540704 x^{29} + 76404337315353 x^{28} - 246165239380046 x^{27} + 763986254214168 x^{26} - 2278363058201293 x^{25} + 6553379006345079 x^{24} - 18122639402283948 x^{23} + 48369398641755245 x^{22} - 124082565817885020 x^{21} + 307258023227043408 x^{20} - 730443630601059097 x^{19} + 1675623338370133488 x^{18} - 3682257303813422851 x^{17} + 7802310077530656188 x^{16} - 15781930061220186535 x^{15} + 30744365804979004797 x^{14} - 56866181492428688346 x^{13} + 101154460314253792185 x^{12} - 169422446704123589990 x^{11} + 272498861417357563948 x^{10} - 407198743058120303990 x^{9} + 583869749598099518224 x^{8} - 760308418085795942035 x^{7} + 951731184738366402827 x^{6} - 1036802148342691785802 x^{5} + 1096694466642564711209 x^{4} - 920087778256872115878 x^{3} + 778468706568920738062 x^{2} - 399355828906278303580 x + 243039256589954114401$ |
$46$ |
[0,23] |
$-\,23^{23}\cdot 47^{44}$ |
$2$ |
$190.661001119$ |
$190.6610011193404$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.139...875.1 |
$x^{46} - 3 x + 5$ |
$46$ |
[0,23] |
$-\,5^{43}\cdot 7\cdot 131063\cdot 210671\cdot 2644627\cdot 2978335879\cdot 603182222032259\cdot 13\!\cdots\!19$ |
$8$ |
$193.086911346$ |
|
|
|
? |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$22$ |
|
| 46.46.147...000.1 |
$x^{46} - 235 x^{44} + 25850 x^{42} - 1768375 x^{40} + 84306250 x^{38} - 2974806250 x^{36} + 80537437500 x^{34} - 1711420546875 x^{32} + 28962501562500 x^{30} - 393788398437500 x^{28} + 4321029453125000 x^{26} - 38300033789062500 x^{24} + 273571669921875000 x^{22} - 1565919287109375000 x^{20} + 7117814941406250000 x^{18} - 25357215728759765625 x^{16} + 69527849578857421875 x^{14} - 143145572662353515625 x^{12} + 213895683288574218750 x^{10} - 221132755279541015625 x^{8} + 147421836853027343750 x^{6} - 56700706481933593750 x^{4} + 10309219360351562500 x^{2} - 560283660888671875$ |
$46$ |
[46,0] |
$2^{46}\cdot 5^{23}\cdot 47^{45}$ |
$3$ |
$193.313819775$ |
$193.31381977504472$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
| 46.0.184...707.1 |
$x^{46} - x^{45} + 67 x^{44} - 228 x^{43} + 2873 x^{42} - 12090 x^{41} + 90627 x^{40} - 396783 x^{39} + 2197181 x^{38} - 9084879 x^{37} + 41123762 x^{36} - 155774062 x^{35} + 601546586 x^{34} - 2049772191 x^{33} + 6885710712 x^{32} - 21001194790 x^{31} + 62098669354 x^{30} - 169080636457 x^{29} + 441940766812 x^{28} - 1071462326145 x^{27} + 2478764771335 x^{26} - 5333328598630 x^{25} + 10888318672634 x^{24} - 20655166588685 x^{23} + 36991730149635 x^{22} - 61402831326766 x^{21} + 95739989836944 x^{20} - 137578715879678 x^{19} + 184445470774510 x^{18} - 226065763101687 x^{17} + 257516397067309 x^{16} - 267113581606853 x^{15} + 259035364360001 x^{14} - 228631741303908 x^{13} + 190505773653737 x^{12} - 142852907594579 x^{11} + 102011442664694 x^{10} - 64133248169993 x^{9} + 39534514646718 x^{8} - 20666502848870 x^{7} + 11038378291251 x^{6} - 4490765253972 x^{5} + 2041881142688 x^{4} - 598697077332 x^{3} + 238557870323 x^{2} - 33007559079 x + 4088451481$ |
$46$ |
[0,23] |
$-\,3^{23}\cdot 139^{44}$ |
$2$ |
$194.267821953$ |
$194.26782195319768$ |
✓ |
✓ |
|
$C_{46}$ (as 46T1) |
not computed |
$6$ |
$22$ |
|
| 46.0.452...227.1 |
$x^{46} - x^{45} + 236 x^{44} - 236 x^{43} + 26086 x^{42} - 26086 x^{41} + 1794461 x^{40} - 1794461 x^{39} + 86100711 x^{38} - 86100711 x^{37} + 3060906961 x^{36} - 3060906961 x^{35} + 83598344461 x^{34} - 83598344461 x^{33} + 1795018891336 x^{32} - 1795018891336 x^{31} + 30757520453836 x^{30} - 30757520453836 x^{29} + 424545918891336 x^{28} - 424545918891336 x^{27} + 4745575372016336 x^{26} - 4745575372016336 x^{25} + 43045609161078836 x^{24} - 43045609161078836 x^{23} + 316617279082953836 x^{22} - 316617279082953836 x^{21} + 1882536566192328836 x^{20} - 1882536566192328836 x^{19} + 9000351507598578836 x^{18} - 9000351507598578836 x^{17} + 34357567236358344461 x^{16} - 34357567236358344461 x^{15} + 103885416815215766336 x^{14} - 103885416815215766336 x^{13} + 247030989477569281961 x^{12} - 247030989477569281961 x^{11} + 460926672766143500711 x^{10} - 460926672766143500711 x^{9} + 682059428045684516336 x^{8} - 682059428045684516336 x^{7} + 829481264898711860086 x^{6} - 829481264898711860086 x^{5} + 886181971380645453836 x^{4} - 886181971380645453836 x^{3} + 896491190740997016336 x^{2} - 896491190740997016336 x + 897051474401885688211$ |
$46$ |
[0,23] |
$-\,3^{23}\cdot 7^{23}\cdot 47^{45}$ |
$3$ |
$198.087719361$ |
$198.08771936144703$ |
✓ |
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
|
| 46.0.177...000.1 |
$x^{46} - 4 x + 5$ |
$46$ |
[0,23] |
$-\,2^{46}\cdot 5^{45}\cdot 7\cdot 101\cdot 1583\cdot 603448043502369483310514077\cdot 13174785488719670283249479881$ |
$7$ |
$204.074823509$ |
|
|
|
? |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$22$ |
|
| 46.46.366...169.1 |
$x^{46} - x^{45} - 281 x^{44} + 281 x^{43} + 36943 x^{42} - 36943 x^{41} - 3018809 x^{40} + 3018809 x^{39} + 171798631 x^{38} - 171798631 x^{37} - 7230471257 x^{36} + 7230471257 x^{35} + 233253028519 x^{34} - 233253028519 x^{33} - 5899076215769 x^{32} + 5899076215769 x^{31} + 118634379206695 x^{30} - 118634379206695 x^{29} - 1913227261896665 x^{28} + 1913227261896665 x^{27} + 24841448185280551 x^{26} - 24841448185280551 x^{25} - 259731008843786201 x^{24} + 259731008843786201 x^{23} + 2179461479976785959 x^{22} - 2179461479976785959 x^{21} - 14574810909297551321 x^{20} + 14574810909297551321 x^{19} + 76812129395835197479 x^{18} - 76812129395835197479 x^{17} - 313867040408607303641 x^{16} + 313867040408607303641 x^{15} + 971593453786655119399 x^{14} - 971593453786655119399 x^{13} - 2204250120107522631641 x^{12} + 2204250120107522631641 x^{11} + 3490365943426865059879 x^{10} - 3490365943426865059879 x^{9} - 3574383308326322677721 x^{8} + 3574383308326322677721 x^{7} + 2077416093076227512359 x^{6} - 2077416093076227512359 x^{5} - 531106707571103344601 x^{4} + 531106707571103344601 x^{3} + 38025539842859751463 x^{2} - 38025539842859751463 x + 908219359340419111$ |
$46$ |
[46,0] |
$23^{23}\cdot 47^{45}$ |
$2$ |
$207.305976405$ |
$207.30597640546026$ |
|
✓ |
? |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
|
