| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 46.0.175...607.1 |
x46 - x45 + x44 - x43 + x42 - x41 + x40 - x39 + x38 - x37 + x36 - x35 + x34 - x33 + x32 - x31 + x30 - x29 + x28 - x27 + x26 - x25 + x24 - x23 + x22 - x21 + x20 - x19 + x18 - x17 + x16 - x15 + x14 - x13 + x12 - x11 + x10 - x9 + x8 - x7 + x6 - x5 + x4 - x3 + x2 - x + 1 |
$46$ |
[0,23] |
$-\,47^{45}$ |
$1$ |
$43.2262842007$ |
✓ |
✓ |
✓ |
$C_{46}$ (as 46T1) |
$[695]$ |
$94$ |
$22$ |
$286117566502019100$ |
| 46.2.309...821.1 |
x46 - x - 1 |
$46$ |
[2,22] |
$2144707\cdot 7098442374223\cdot 20\!\cdots\!61$ |
$3$ |
$46.0080536182$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.0.128...584.1 |
x46 - 2x23 + 2 |
$46$ |
[0,23] |
$-\,2^{68}\cdot 23^{46}$ |
$2$ |
$64.0809142385$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$4$ |
$22$ |
$$ |
| 46.0.128...427.1 |
x46 - 3x23 + 3 |
$46$ |
[0,23] |
$-\,3^{45}\cdot 23^{46}$ |
$2$ |
$67.3716043537$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$6$ |
$22$ |
$$ |
| 46.0.351...787.1 |
x46 - x45 + 23x44 - 20x43 + 295x42 - 232x41 + 2591x40 - 1841x39 + 17196x38 - 11094x37 + 90115x36 - 52612x35 + 383674x34 - 202420x33 + 1347421x32 - 638602x31 + 3942124x30 - 1670119x29 + 9645429x28 - 3619962x27 + 19758077x26 - 6515312x25 + 33775844x24 - 9654035x23 + 47923922x22 - 11732918x21 + 55884245x20 - 11469872x19 + 52902122x18 - 8963564x17 + 39899588x16 - 5363639x15 + 23456774x14 - 2477645x13 + 10388534x12 - 774410x11 + 3336047x10 - 192764x9 + 724724x8 - 17303x7 + 98956x6 - 3718x5 + 7073x4 + 220x3 + 210x2 - 12x + 1 |
$46$ |
[0,23] |
$-\,3^{23}\cdot 47^{44}$ |
$2$ |
$68.8586618098$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$6$ |
$22$ |
$$ |
| 46.46.165...989.1 |
x46 - x45 - 46x44 + 46x43 + 988x42 - 988x41 - 13159x40 + 13159x39 + 121731x38 - 121731x37 - 830207x36 + 830207x35 + 4324189x34 - 4324189x33 - 17581994x32 + 17581994x31 + 56562010x30 - 56562010x29 - 145057650x28 + 145057650x27 + 297415766x26 - 297415766x25 - 486968926x24 + 486968926x23 + 633580634x22 - 633580634x21 - 649220446x20 + 649220446x19 + 516962354x18 - 516962354x17 - 313942891x16 + 313942891x15 + 141714824x14 - 141714824x13 - 45908941x12 + 45908941x11 + 10162529x10 - 10162529x9 - 1431196x8 + 1431196x7 + 114634x6 - 114634x5 - 4276x4 + 4276x3 + 48x2 - 48x + 1 |
$46$ |
[46,0] |
$3^{23}\cdot 47^{45}$ |
$2$ |
$74.870120458$ |
|
✓ |
✓ |
$C_{46}$ (as 46T1) |
trivial |
$2$ |
$45$ |
$45504514750422600000000000000$ |
| 46.0.262...384.1 |
x46 + 45x44 + 946x42 + 12341x40 + 111930x38 + 749398x36 + 3838380x34 + 15380937x32 + 48903492x30 + 124403620x28 + 254186856x26 + 417225900x24 + 548354040x22 + 573166440x20 + 471435600x18 + 300540195x16 + 145422675x14 + 51895935x12 + 13123110x10 + 2220075x8 + 230230x6 + 12650x4 + 276x2 + 1 |
$46$ |
[0,23] |
$-\,2^{46}\cdot 47^{44}$ |
$2$ |
$79.5111338639$ |
✓ |
✓ |
✓ |
$C_{46}$ (as 46T1) |
not computed |
$4$ |
$22$ |
$$ |
| 46.2.174...489.1 |
x46 - 4x - 1 |
$46$ |
[2,22] |
$7\cdot 324901\cdot 64588348141\cdot 216832421280667\cdot 54\!\cdots\!41$ |
$5$ |
$82.8520210735$ |
|
|
not computed |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.46.123...048.1 |
x46 - 47x44 + 1034x42 - 14147x40 + 134890x38 - 951938x36 + 5154396x34 - 21906183x32 + 74144004x30 - 201619660x28 + 442473416x26 - 784384692x24 + 1120549560x22 - 1282801080x20 + 1166182800x18 - 830905245x16 + 455657715x14 - 187623765x12 + 56071470x10 - 11593725x8 + 1545830x6 - 118910x4 + 4324x2 - 47 |
$46$ |
[46,0] |
$2^{46}\cdot 47^{45}$ |
$2$ |
$86.4525684014$ |
|
✓ |
✓ |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.46.445...125.1 |
x46 - x45 - 67x44 + 62x43 + 2017x42 - 1712x41 - 36151x40 + 27871x39 + 431244x38 - 298794x37 - 3629323x36 + 2234528x35 + 22311838x34 - 12065268x33 - 102471229x32 + 48099584x31 + 356957890x30 - 143761015x29 - 952979825x28 + 325518500x27 + 1962978291x26 - 562037616x25 - 3130570732x24 + 742002577x23 + 3866596078x22 - 748176098x21 - 3686881837x20 + 573064052x19 + 2694891598x18 - 329962748x17 - 1492308292x16 + 140457727x15 + 615043968x14 - 43115073x13 - 183867242x12 + 9203272x11 + 38414233x10 - 1297868x9 - 5308732x8 + 114257x7 + 445588x6 - 6578x5 - 19657x4 + 352x3 + 342x2 - 12x - 1 |
$46$ |
[46,0] |
$5^{23}\cdot 47^{44}$ |
$2$ |
$88.8961501438$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.2.557...536.1 |
x46 - 4x - 4 |
$46$ |
[2,22] |
$2^{46}\cdot 7\cdot 41\cdot 1669\cdot 70327\cdot 263387\cdot 704161\cdot 12\!\cdots\!47$ |
$8$ |
$89.3305641904$ |
|
|
not computed |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.0.107...072.1 |
x46 + 2 |
$46$ |
[0,23] |
$-\,2^{91}\cdot 23^{46}$ |
$2$ |
$90.6240980053$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$22$ |
$$ |
| 46.2.107...072.1 |
x46 - 2 |
$46$ |
[2,22] |
$2^{91}\cdot 23^{46}$ |
$2$ |
$90.6240980053$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
$$ |
| 46.2.109...072.1 |
x46 - 2x - 2 |
$46$ |
[2,22] |
$2^{46}\cdot 11\cdot 47\cdot 373\cdot 653\cdot 1632597852101263\cdot 9525506010469146257929367\cdot 7960075042464187254985690481$ |
$8$ |
$90.6557066903$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.0.209...875.1 |
x46 - x45 + 48x44 - 48x43 + 1082x42 - 1082x41 + 15229x40 - 15229x39 + 150119x38 - 150119x37 + 1102057x36 - 1102057x35 + 6256453x34 - 6256453x33 + 28162636x32 - 28162636x31 + 102306640x30 - 102306640x29 + 303926300x28 - 303926300x27 + 746399716x26 - 746399716x25 + 1530784408x24 - 1530784408x23 + 2651333968x22 - 2651333968x21 + 3934135048x20 - 3934135048x19 + 5100317848x18 - 5100317848x17 + 5931223093x16 - 5931223093x15 + 6386880808x14 - 6386880808x13 + 6574504573x12 - 6574504573x11 + 6630576043x10 - 6630576043x9 + 6642169768x8 - 6642169768x7 + 6643715598x6 - 6643715598x5 + 6643834508x4 - 6643834508x3 + 6643838832x2 - 6643838832x + 6643838879 |
$46$ |
[0,23] |
$-\,5^{23}\cdot 47^{45}$ |
$2$ |
$96.6569098875$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.102...983.1 |
x46 - x45 + 68x44 - 61x43 + 2272x42 - 1838x41 + 49088x40 - 35837x39 + 764082x38 - 502716x37 + 9061304x36 - 5356876x35 + 84584992x34 - 44739144x33 + 634011776x32 - 298356295x31 + 3862036333x30 - 1605788227x29 + 19242860452x28 - 7010057107x27 + 78601898736x26 - 24835843890x25 + 262854128576x24 - 71169036677x23 + 716241923902x22 - 163773410984x21 + 1577302832552x20 - 299245739680x19 + 2773773179200x18 - 427289762048x17 + 3831228318848x16 - 466369885184x15 + 4064622286848x14 - 377834643456x13 + 3213707960320x12 - 217643319296x11 + 1816862654464x10 - 84719697920x9 + 692213350400x8 - 19502399488x7 + 162748039168x6 - 3073900544x5 + 20306198528x4 + 161480704x3 + 1019215872x2 - 50331648x + 8388608 |
$46$ |
[0,23] |
$-\,7^{23}\cdot 47^{44}$ |
$2$ |
$105.183343332$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.2.123...125.1 |
x46 - 5 |
$46$ |
[2,22] |
$5^{45}\cdot 23^{46}$ |
$2$ |
$111.045979765$ |
|
|
not computed |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
$$ |
| 46.0.220...472.1 |
x46 + 90x44 + 3784x42 + 98728x40 + 1790880x38 + 23980736x36 + 245656320x34 + 1968759936x32 + 12519293952x30 + 63694653440x28 + 260287340544x26 + 854478643200x24 + 2246058147840x22 + 4695379476480x20 + 7724000870400x18 + 9848101109760x16 + 9530420428800x14 + 6802103992320x12 + 3440144547840x10 + 1163958681600x8 + 241413652480x6 + 26528972800x4 + 1157627904x2 + 8388608 |
$46$ |
[0,23] |
$-\,2^{69}\cdot 47^{44}$ |
$2$ |
$112.44572387$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.46.220...472.1 |
x46 - 90x44 + 3784x42 - 98728x40 + 1790880x38 - 23980736x36 + 245656320x34 - 1968759936x32 + 12519293952x30 - 63694653440x28 + 260287340544x26 - 854478643200x24 + 2246058147840x22 - 4695379476480x20 + 7724000870400x18 - 9848101109760x16 + 9530420428800x14 - 6802103992320x12 + 3440144547840x10 - 1163958681600x8 + 241413652480x6 - 26528972800x4 + 1157627904x2 - 8388608 |
$46$ |
[46,0] |
$2^{69}\cdot 47^{44}$ |
$2$ |
$112.44572387$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.46.480...201.1 |
x46 - x45 - 93x44 + 93x43 + 4043x42 - 4043x41 - 109133x40 + 109133x39 + 2049107x38 - 2049107x37 - 28412909x36 + 28412909x35 + 301468435x34 - 301468435x33 - 2502522989x32 + 2502522989x31 + 16478342035x30 - 16478342035x29 - 86750923885x28 + 86750923885x27 + 366341854099x26 - 366341854099x25 - 1240077995117x24 + 1240077995117x23 + 3349693002643x22 - 3349693002643x21 - 7159013444717x20 + 7159013444717x19 + 11947725550483x18 - 11947725550483x17 - 15279377517677x16 + 15279377517677x15 + 14582606492563x14 - 14582606492563x13 - 10009615633517x12 + 10009615633517x11 + 4689183798163x10 - 4689183798163x9 - 1389267094637x8 + 1389267094637x7 + 231653143443x6 - 231653143443x5 - 17719200877x4 + 17719200877x3 + 416969619x2 - 416969619x + 22705043 |
$46$ |
[46,0] |
$7^{23}\cdot 47^{45}$ |
$2$ |
$114.365998096$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.0.749...368.1 |
x46 - 2x + 3 |
$46$ |
[0,23] |
$-\,2^{47}\cdot 3^{45}\cdot 40739891922760603\cdot 108253239392882437561\cdot 408511528412100333650099$ |
$5$ |
$121.402866832$ |
|
|
not computed |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.103...184.1 |
x46 + 94x44 + 4136x42 + 113176x40 + 2158240x38 + 30462016x36 + 329881344x34 + 2803991424x32 + 18980865024x30 + 103229265920x28 + 453092777984x26 + 1606419849216x24 + 4589770997760x22 + 10508706447360x20 + 19106738995200x18 + 27227103068160x16 + 29861984010240x14 + 24592222126080x12 + 14698799431680x10 + 6078450892800x8 + 1620920238080x6 + 249372344320x4 + 18136170496x2 + 394264576 |
$46$ |
[0,23] |
$-\,2^{69}\cdot 47^{45}$ |
$2$ |
$122.262394735$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.46.103...184.1 |
x46 - 94x44 + 4136x42 - 113176x40 + 2158240x38 - 30462016x36 + 329881344x34 - 2803991424x32 + 18980865024x30 - 103229265920x28 + 453092777984x26 - 1606419849216x24 + 4589770997760x22 - 10508706447360x20 + 19106738995200x18 - 27227103068160x16 + 29861984010240x14 - 24592222126080x12 + 14698799431680x10 - 6078450892800x8 + 1620920238080x6 - 249372344320x4 + 18136170496x2 - 394264576 |
$46$ |
[46,0] |
$2^{69}\cdot 47^{45}$ |
$2$ |
$122.262394735$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.2.219...821.1 |
x46 - 3x - 1 |
$46$ |
[2,22] |
$7\cdot 281\cdot 37607\cdot 199921\cdot 14\!\cdots\!29$ |
$5$ |
$124.27803161$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.2.219...197.1 |
x46 - 3x - 2 |
$46$ |
[2,22] |
$7\cdot 47\cdot 4697389783\cdot 17089161961\cdot 2184815465401\cdot 733058611398596401\cdot 51\!\cdots\!11$ |
$7$ |
$124.278032937$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.0.272...299.1 |
x46 - x45 + 2x44 + 88x43 - 81x42 + 155x41 + 3247x40 - 2737x39 + 4990x38 + 65894x37 - 50535x36 + 87297x35 + 812047x34 - 562441x33 + 914794x32 + 6340570x31 - 3933649x30 + 5969903x29 + 31840228x28 - 17522906x27 + 24664884x26 + 102351606x25 - 49045994x24 + 67898048x23 + 203991966x22 - 79205588x21 + 147048808x20 + 226793510x19 - 44044110x18 + 277327722x17 + 97270295x16 + 52705940x15 + 374031026x14 - 2906153x13 + 88850041x12 + 243869890x11 + 66181028x10 + 138359819x9 + 68541629x8 + 60480343x7 + 77496743x6 - 68525839x5 + 45005646x4 - 25416074x3 - 12752729x2 + 8659371x + 2726249 |
$46$ |
[0,23] |
$-\,139^{45}$ |
$1$ |
$124.861205034$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.334...411.1 |
x46 - 21x45 + 234x44 - 1813x43 + 11104x42 - 57853x41 + 268455x40 - 1137429x39 + 4465637x38 - 16402546x37 + 56828720x36 - 186820582x35 + 585518431x34 - 1755193762x33 + 5047798326x32 - 13956961576x31 + 37178279250x30 - 95529053696x29 + 237111330579x28 - 568897301282x27 + 1320756058230x26 - 2967568274611x25 + 6457810749477x24 - 13607127733128x23 + 27776633354903x22 - 54891520145448x21 + 105060081565914x20 - 194491671575647x19 + 348417978801750x18 - 602707519775443x17 + 1007440894372913x16 - 1621717831102939x15 + 2517231470674524x14 - 3747360102999732x13 + 5363969908946175x12 - 7317027854923049x11 + 9562510933179307x10 - 11787888134809172x9 + 13862890922775304x8 - 15106564909634047x7 + 15643485715141214x6 - 14502253394888869x5 + 12777846887095319x4 - 9315770272382043x3 + 6584077168581835x2 - 3020416683060232x + 1523302345994551 |
$46$ |
[0,23] |
$-\,11^{23}\cdot 47^{44}$ |
$2$ |
$131.854298841$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.2.906...528.1 |
x46 - 3 |
$46$ |
[2,22] |
$2^{46}\cdot 3^{45}\cdot 23^{46}$ |
$3$ |
$134.743208707$ |
|
|
✓ |
$C_2\times F_{23}$ (as 46T6) |
not computed |
$2$ |
$23$ |
$$ |
| 46.2.906...653.1 |
x46 - x - 3 |
$46$ |
[2,22] |
$3^{45}\cdot 17\cdot 12143\cdot 14\!\cdots\!41$ |
$4$ |
$134.743208707$ |
|
|
✓ |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$23$ |
$$ |
| 46.46.247...568.1 |
x46 - 2x45 - 112x44 + 218x43 + 5713x42 - 10796x41 - 175759x40 + 321578x39 + 3640569x38 - 6429108x37 - 53679062x36 + 91168168x35 + 580933861x34 - 944995322x33 - 4690600862x32 + 7273130902x31 + 28447305226x30 - 41812973042x29 - 129501143256x28 + 179268136002x27 + 439325593874x26 - 568431783454x25 - 1095481009606x24 + 1313118990890x23 + 1966263727274x22 - 2161106685334x21 - 2466848961868x20 + 2457189744590x19 + 2078976791930x18 - 1853404680970x17 - 1116883023433x16 + 880987194236x15 + 358010044796x14 - 248497252516x13 - 63604513444x12 + 39246867980x11 + 5926504964x10 - 3353727748x9 - 285501034x8 + 152340728x7 + 6709600x6 - 3466424x5 - 67372x4 + 33776x3 + 264x2 - 96x + 1 |
$46$ |
[46,0] |
$2^{46}\cdot 3^{23}\cdot 47^{44}$ |
$3$ |
$137.71732362$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.46.155...357.1 |
x46 - 21x45 + 96x44 + 959x43 - 9950x42 - 1825x41 + 335613x40 - 834537x39 - 5657221x38 + 26988590x37 + 44109968x36 - 443216122x35 + 100002271x34 + 4479212294x33 - 6237187098x32 - 28571535040x31 + 72586582734x30 + 103336700236x29 - 480319603281x28 - 66786211526x27 + 2018290007358x26 - 1355370040843x25 - 5285056712013x24 + 7582856629140x23 + 7178933729591x22 - 20645533933596x21 + 1046437412802x20 + 31269803408789x19 - 21465428316192x18 - 22251983955427x17 + 34519826963183x16 - 2181540751435x15 - 22787259295206x14 + 14052337420836x13 + 3424903604271x12 - 7356504751997x11 + 2524580197417x10 + 719437437556x9 - 822188957900x8 + 216958911989x7 + 16546070228x6 - 23274902617x5 + 5444167373x4 - 387991071x3 - 44784143x2 + 9031748x - 400721 |
$46$ |
[46,0] |
$13^{23}\cdot 47^{44}$ |
$2$ |
$143.340735058$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.46.157...317.1 |
x46 - x45 - 140x44 + 140x43 + 9166x42 - 9166x41 - 372803x40 + 372803x39 + 10553287x38 - 10553287x37 - 220767647x36 + 220767647x35 + 3536787037x34 - 3536787037x33 - 44372035184x32 + 44372035184x31 + 442086775060x30 - 442086775060x29 - 3526392992720x28 + 3526392992720x27 + 22601219748664x26 - 22601219748664x25 - 116350175285060x24 + 116350175285060x23 + 479155803430900x22 - 479155803430900x21 - 1566043462837940x20 + 1566043462837940x19 + 4011772717895260x18 - 4011772717895260x17 - 7910809368421955x16 + 7910809368421955x15 + 11703761160680560x14 - 11703761160680560x13 - 12526002434093135x12 + 12526002434093135x11 + 9197233892255695x10 - 9197233892255695x9 - 4277705934238880x8 + 4277705934238880x7 + 1112269996358950x6 - 1112269996358950x5 - 131570603009780x4 + 131570603009780x3 + 4121098739536x2 - 4121098739536x - 303630665333 |
$46$ |
[46,0] |
$11^{23}\cdot 47^{45}$ |
$2$ |
$143.365365775$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.0.116...696.1 |
x46 + 141x44 + 9306x42 + 381969x40 + 10926090x38 + 231320934x36 + 3757554684x34 + 47908822221x32 + 486458810244x30 + 3968479767780x28 + 26127612741384x26 + 138951395033724x24 + 595505978715960x22 + 2045199266268840x20 + 5577816180733200x18 + 11922582086317215x16 + 19614570529102515x14 + 24229763594773695x12 + 21723236326348830x10 + 13474939826494575x8 + 5389975930597830x6 + 1243840599368730x4 + 135691701749316x2 + 4424729404869 |
$46$ |
[0,23] |
$-\,2^{46}\cdot 3^{23}\cdot 47^{45}$ |
$3$ |
$149.740240916$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.419...375.1 |
x46 - 21x45 + 257x44 - 2275x43 + 16384x42 - 101148x41 + 555868x40 - 2773061x39 + 12764350x38 - 54717566x37 + 220411975x36 - 838622105x35 + 3030581020x34 - 10433377545x33 + 34346625500x32 - 108311066940x31 + 328058481150x30 - 955269123060x29 + 2679603110905x28 - 7242985668834x27 + 18895590411056x26 - 47565631805041x25 + 115691372227157x24 - 271669498342240x23 + 616666273593665x22 - 1351191092366848x21 + 2861502035274188x20 - 5844226298666601x19 + 11528422276701890x18 - 21892211952456407x17 + 40102623357336934x16 - 70512951104599839x15 + 119377822272400223x14 - 193124835740771010x13 + 300080474989777953x12 - 442454098080721470x11 + 624685689856470240x10 - 827583193065916590x9 + 1046376694212400500x8 - 1217672042714811795x7 + 1349148741219481645x6 - 1325965235556309370x5 + 1244120066328799465x4 - 953228966874939950x3 + 714248269821476266x2 - 340555683118656924x + 181351969023278929 |
$46$ |
[0,23] |
$-\,3^{23}\cdot 5^{23}\cdot 47^{44}$ |
$3$ |
$153.972648646$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.732...779.1 |
x46 - x45 + 142x44 - 142x43 + 9448x42 - 9448x41 + 391417x40 - 391417x39 + 11317507x38 - 11317507x37 + 242638441x36 - 242638441x35 + 4000193125x34 - 4000193125x33 + 51909015346x32 - 51909015346x31 + 538367825590x30 - 538367825590x29 + 4506847593370x28 - 4506847593370x27 + 30634460334754x26 - 30634460334754x25 + 169585855368478x24 - 169585855368478x23 + 765091834084438x22 - 765091834084438x21 + 2810291100353278x20 - 2810291100353278x19 + 8388107281086478x18 - 8388107281086478x17 + 20310689367403693x16 - 20310689367403693x15 + 39925259896506208x14 - 39925259896506208x13 + 64155023491279903x12 - 64155023491279903x11 + 85878259817628733x10 - 85878259817628733x9 + 99353199644123308x8 - 99353199644123308x7 + 104743175574721138x6 - 104743175574721138x5 + 105987016174089868x4 - 105987016174089868x3 + 106122707875839184x2 - 106122707875839184x + 106127132605244053 |
$46$ |
[0,23] |
$-\,13^{23}\cdot 47^{45}$ |
$2$ |
$155.854584133$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.46.745...953.1 |
x46 - 21x45 + 73x44 + 1421x43 - 11688x42 - 26444x41 + 546236x40 - 558165x39 - 13539434x38 + 38887682x37 + 198165559x36 - 953908281x35 - 1585626860x34 + 14055045207x33 + 1701891748x32 - 138250018268x31 + 118227770318x30 + 930739433436x29 - 1556712461447x28 - 4178682238866x27 + 11035652521488x26 + 10987735268927x25 - 50739738063011x24 - 5484554605648x23 + 156065664472465x22 - 77317124353840x21 - 311756013664852x20 + 322923109252823x19 + 358854058053978x18 - 654285125328791x17 - 121542555999522x16 + 747597202506305x15 - 238938997532233x14 - 446598845373746x13 + 338106614748625x12 + 84876395506850x11 - 169897816857232x10 + 35149679050450x9 + 30632897477284x8 - 16416412614675x7 + 339728947397x6 + 1582850521398x5 - 368809772071x4 - 3099673998x3 + 9657569242x2 - 879698940x + 6455921 |
$46$ |
[46,0] |
$17^{23}\cdot 47^{44}$ |
$2$ |
$163.916401667$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.2.122...304.1 |
x46 - 4x + 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 |
$2$ |
$23$ |
$$ |
| 46.46.197...625.1 |
x46 - x45 - 187x44 + 187x43 + 16357x42 - 16357x41 - 889051x40 + 889051x39 + 33642789x38 - 33642789x37 - 941141723x36 + 941141723x35 + 20171264293x34 - 20171264293x33 - 338739637979x32 + 338739637979x31 + 4520361808165x30 - 4520361808165x29 - 48333022342875x28 + 48333022342875x27 + 415633982312741x26 - 415633982312741x25 - 2874313868881627x24 + 2874313868881627x23 + 15925388137943333x22 - 15925388137943333x21 - 70161935078829787x20 + 70161935078829787x19 + 242882876618527013x18 - 242882876618527013x17 - 649294836718939867x16 + 649294836718939867x15 + 1307740147376148773x14 - 1307740147376148773x13 - 1915611591133408987x12 + 1915611591133408987x11 + 1937590487084912933x10 - 1937590487084912933x9 - 1249268374599413467x8 + 1249268374599413467x7 + 450389684965560613x6 - 450389684965560613x5 - 72582025669816027x4 + 72582025669816027x3 + 3486586786238757x2 - 3486586786238757x + 179255809888549 |
$46$ |
[46,0] |
$3^{23}\cdot 5^{23}\cdot 47^{45}$ |
$3$ |
$167.414678828$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.0.963...579.1 |
x46 - 21x45 + 280x44 - 2737x43 + 22170x42 - 154145x41 + 956933x40 - 5379033x39 + 27886243x38 - 134248450x37 + 606496288x36 - 2580676650x35 + 10412975743x34 - 39920376954x33 + 146107747414x32 - 510964368992x31 + 1713645236702x30 - 5512052557476x29 + 17054425501759x28 - 50730506723382x27 + 145445655971166x26 - 401467681974859x25 + 1069363344649915x24 - 2743875089714332x23 + 6797884140501079x22 - 16220179768462732x21 + 37368762579922514x20 - 82830583629409339x19 + 177181015929801720x18 - 363931247102399123x17 + 720639735990585495x16 - 1365869353643320843x15 + 2491905369702459650x14 - 4330190064722950604x13 + 7228480682418043087x12 - 11405749818173784685x11 + 17248944398622077393x10 - 24356420142161515772x9 + 32892937884911140180x8 - 40615318559022977115x7 + 47943875275560939644x6 - 49733323681891310169x5 + 49623712340431236341x4 - 39861978482127425967x3 + 31755951074013931513x2 - 15726577420274467740x + 8942103583744060031 |
$46$ |
[0,23] |
$-\,19^{23}\cdot 47^{44}$ |
$2$ |
$173.290498699$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.313...000.1 |
x46 - 2x45 + 72x44 - 134x43 + 2897x42 - 5084x41 + 82681x40 - 137302x39 + 1842969x38 - 2901188x37 + 33715618x36 - 50329496x35 + 521486533x34 - 737794426x33 + 6950305674x32 - 9307575658x31 + 80830810890x30 - 102256954530x29 + 827118937400x28 - 985841461150x27 + 7485767552466x26 - 8377390757582x25 + 60086694646762x24 - 62865657320214x23 + 428031087265258x22 - 416431202055206x21 + 2702388396162372x20 - 2428526763878674x19 + 15070583707733498x18 - 12405066876040346x17 + 73818176925261607x16 - 55061310307265284x15 + 314907625765820988x14 - 209899452928866436x13 + 1155981973200414012x12 - 675750258479061684x11 + 3589387159241937348x10 - 1792691375628199716x9 + 9196110333365905782x8 - 3775417247902685064x7 + 18723655041560322848x6 - 5938123951190841976x5 + 28494792795353584212x4 - 6222180685713906064x3 + 28908055782216940872x2 - 3269673707415701984x + 14713531683370658881 |
$46$ |
[0,23] |
$-\,2^{46}\cdot 5^{23}\cdot 47^{44}$ |
$3$ |
$177.792300288$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.350...791.1 |
x46 - x45 + 189x44 - 189x43 + 16733x42 - 16733x41 + 922141x40 - 922141x39 + 35453981x38 - 35453981x37 + 1010238493x36 - 1010238493x35 + 22122644509x34 - 22122644509x33 + 381033546781x32 - 381033546781x31 + 5240134992925x30 - 5240134992925x29 + 58093519143965x28 - 58093519143965x27 + 522060523799581x26 - 522060523799581x25 + 3812008374993949x24 - 3812008374993949x23 + 22611710381818909x22 - 22611710381818909x21 + 108699033598592029x20 - 108699033598592029x19 + 421743845295948829x18 - 421743845295948829x17 + 1313921558633415709x16 - 1313921558633415709x15 + 3270956542728504349x14 - 3270956542728504349x13 + 6494308281238062109x12 - 6494308281238062109x11 + 10347510359456384029x10 - 10347510359456384029x9 + 13534369221140710429x8 - 13534369221140710429x7 + 15234027280705684509x6 - 15234027280705684509x5 + 15756998991341061149x4 - 15756998991341061149x3 + 15833067603797115933x2 - 15833067603797115933x + 15836374934773466141 |
$46$ |
[0,23] |
$-\,17^{23}\cdot 47^{45}$ |
$2$ |
$178.226535563$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.46.962...941.1 |
x46 - 21x45 + 50x44 + 1883x43 - 12920x42 - 60765x41 + 785503x40 + 300187x39 - 25575587x38 + 40214110x37 + 521735008x36 - 1564306550x35 - 6949929857x34 + 31787689566x33 + 57756246374x32 - 425729426952x31 - 210107630718x30 + 4019949670704x29 - 1386075895421x28 - 27371507035122x27 + 26650221853526x26 + 134194010274701x25 - 206486899342915x24 - 461722534108312x23 + 1009252077539639x22 + 1036539452322248x21 - 3366962181446806x20 - 1164849476322639x19 + 7767671494048670x18 - 741931405771523x17 - 12201690528858935x16 + 5045104955656677x15 + 12550562657707220x14 - 8456879148847524x13 - 7865485324249473x12 + 7415009326963335x11 + 2594178944982243x10 - 3580244990409732x9 - 271735536883800x8 + 897997567222545x7 - 44388322932266x6 - 100983278491909x5 + 8398133311471x4 + 3441355105333x3 - 332318327837x2 - 17482059720x + 1254092071 |
$46$ |
[46,0] |
$3^{23}\cdot 7^{23}\cdot 47^{44}$ |
$3$ |
$182.182894761$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.46.452...213.1 |
x46 - x45 - 234x44 + 234x43 + 25616x42 - 25616x41 - 1742759x40 + 1742759x39 + 82563491x38 - 82563491x37 - 2892242759x36 + 2892242759x35 + 77645194741x34 - 77645194741x33 - 1633775352134x32 + 1633775352134x31 + 27328726210366x30 - 27328726210366x29 - 366459672227134x28 + 366459672227134x27 + 3954569780897866x26 - 3954569780897866x25 - 34345464008164634x24 + 34345464008164634x23 + 239226205913710366x22 - 239226205913710366x21 - 1326693081195664634x20 + 1326693081195664634x19 + 5791121860210585366x18 - 5791121860210585366x17 - 19566093868549180259x16 + 19566093868549180259x15 + 49961755710308241616x14 - 49961755710308241616x13 - 93183816952045274009x12 + 93183816952045274009x11 + 120711866336528944741x10 - 120711866336528944741x9 - 100420888943012070884x8 + 100420888943012070884x7 + 47000947910015272866x6 - 47000947910015272866x5 - 9699758571918320884x4 + 9699758571918320884x3 + 609460788433241616x2 - 609460788433241616x + 49177127544569741 |
$46$ |
[46,0] |
$19^{23}\cdot 47^{45}$ |
$2$ |
$188.419004536$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.0.779...727.1 |
x46 - 21x45 + 303x44 - 3199x43 + 28462x42 - 216844x41 + 1482276x40 - 9149385x39 + 52159796x38 - 275416018x37 + 1364962019x36 - 6356196961x35 + 28058790010x34 - 117422665453x33 + 468880651758x32 - 1785260085988x31 + 6514636802898x30 - 22754700540704x29 + 76404337315353x28 - 246165239380046x27 + 763986254214168x26 - 2278363058201293x25 + 6553379006345079x24 - 18122639402283948x23 + 48369398641755245x22 - 124082565817885020x21 + 307258023227043408x20 - 730443630601059097x19 + 1675623338370133488x18 - 3682257303813422851x17 + 7802310077530656188x16 - 15781930061220186535x15 + 30744365804979004797x14 - 56866181492428688346x13 + 101154460314253792185x12 - 169422446704123589990x11 + 272498861417357563948x10 - 407198743058120303990x9 + 583869749598099518224x8 - 760308418085795942035x7 + 951731184738366402827x6 - 1036802148342691785802x5 + 1096694466642564711209x4 - 920087778256872115878x3 + 778468706568920738062x2 - 399355828906278303580x + 243039256589954114401 |
$46$ |
[0,23] |
$-\,23^{23}\cdot 47^{44}$ |
$2$ |
$190.661001119$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.139...875.1 |
x46 - 3x + 5 |
$46$ |
[0,23] |
$-\,5^{43}\cdot 7\cdot 131063\cdot 210671\cdot 2644627\cdot 2978335879\cdot 603182222032259\cdot 13\!\cdots\!19$ |
$8$ |
$193.086911346$ |
|
|
not computed |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$22$ |
$$ |
| 46.46.147...000.1 |
x46 - 235x44 + 25850x42 - 1768375x40 + 84306250x38 - 2974806250x36 + 80537437500x34 - 1711420546875x32 + 28962501562500x30 - 393788398437500x28 + 4321029453125000x26 - 38300033789062500x24 + 273571669921875000x22 - 1565919287109375000x20 + 7117814941406250000x18 - 25357215728759765625x16 + 69527849578857421875x14 - 143145572662353515625x12 + 213895683288574218750x10 - 221132755279541015625x8 + 147421836853027343750x6 - 56700706481933593750x4 + 10309219360351562500x2 - 560283660888671875 |
$46$ |
[46,0] |
$2^{46}\cdot 5^{23}\cdot 47^{45}$ |
$3$ |
$193.313819775$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
| 46.0.184...707.1 |
x46 - x45 + 67x44 - 228x43 + 2873x42 - 12090x41 + 90627x40 - 396783x39 + 2197181x38 - 9084879x37 + 41123762x36 - 155774062x35 + 601546586x34 - 2049772191x33 + 6885710712x32 - 21001194790x31 + 62098669354x30 - 169080636457x29 + 441940766812x28 - 1071462326145x27 + 2478764771335x26 - 5333328598630x25 + 10888318672634x24 - 20655166588685x23 + 36991730149635x22 - 61402831326766x21 + 95739989836944x20 - 137578715879678x19 + 184445470774510x18 - 226065763101687x17 + 257516397067309x16 - 267113581606853x15 + 259035364360001x14 - 228631741303908x13 + 190505773653737x12 - 142852907594579x11 + 102011442664694x10 - 64133248169993x9 + 39534514646718x8 - 20666502848870x7 + 11038378291251x6 - 4490765253972x5 + 2041881142688x4 - 598697077332x3 + 238557870323x2 - 33007559079x + 4088451481 |
$46$ |
[0,23] |
$-\,3^{23}\cdot 139^{44}$ |
$2$ |
$194.267821953$ |
✓ |
✓ |
|
$C_{46}$ (as 46T1) |
not computed |
$6$ |
$22$ |
$$ |
| 46.0.452...227.1 |
x46 - x45 + 236x44 - 236x43 + 26086x42 - 26086x41 + 1794461x40 - 1794461x39 + 86100711x38 - 86100711x37 + 3060906961x36 - 3060906961x35 + 83598344461x34 - 83598344461x33 + 1795018891336x32 - 1795018891336x31 + 30757520453836x30 - 30757520453836x29 + 424545918891336x28 - 424545918891336x27 + 4745575372016336x26 - 4745575372016336x25 + 43045609161078836x24 - 43045609161078836x23 + 316617279082953836x22 - 316617279082953836x21 + 1882536566192328836x20 - 1882536566192328836x19 + 9000351507598578836x18 - 9000351507598578836x17 + 34357567236358344461x16 - 34357567236358344461x15 + 103885416815215766336x14 - 103885416815215766336x13 + 247030989477569281961x12 - 247030989477569281961x11 + 460926672766143500711x10 - 460926672766143500711x9 + 682059428045684516336x8 - 682059428045684516336x7 + 829481264898711860086x6 - 829481264898711860086x5 + 886181971380645453836x4 - 886181971380645453836x3 + 896491190740997016336x2 - 896491190740997016336x + 897051474401885688211 |
$46$ |
[0,23] |
$-\,3^{23}\cdot 7^{23}\cdot 47^{45}$ |
$3$ |
$198.087719361$ |
✓ |
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$22$ |
$$ |
| 46.0.177...000.1 |
x46 - 4x + 5 |
$46$ |
[0,23] |
$-\,2^{46}\cdot 5^{45}\cdot 7\cdot 101\cdot 1583\cdot 603448043502369483310514077\cdot 13174785488719670283249479881$ |
$7$ |
$204.074823509$ |
|
|
not computed |
$S_{46}$ (as 46T56) |
not computed |
$2$ |
$22$ |
$$ |
| 46.46.366...169.1 |
x46 - x45 - 281x44 + 281x43 + 36943x42 - 36943x41 - 3018809x40 + 3018809x39 + 171798631x38 - 171798631x37 - 7230471257x36 + 7230471257x35 + 233253028519x34 - 233253028519x33 - 5899076215769x32 + 5899076215769x31 + 118634379206695x30 - 118634379206695x29 - 1913227261896665x28 + 1913227261896665x27 + 24841448185280551x26 - 24841448185280551x25 - 259731008843786201x24 + 259731008843786201x23 + 2179461479976785959x22 - 2179461479976785959x21 - 14574810909297551321x20 + 14574810909297551321x19 + 76812129395835197479x18 - 76812129395835197479x17 - 313867040408607303641x16 + 313867040408607303641x15 + 971593453786655119399x14 - 971593453786655119399x13 - 2204250120107522631641x12 + 2204250120107522631641x11 + 3490365943426865059879x10 - 3490365943426865059879x9 - 3574383308326322677721x8 + 3574383308326322677721x7 + 2077416093076227512359x6 - 2077416093076227512359x5 - 531106707571103344601x4 + 531106707571103344601x3 + 38025539842859751463x2 - 38025539842859751463x + 908219359340419111 |
$46$ |
[46,0] |
$23^{23}\cdot 47^{45}$ |
$2$ |
$207.305976405$ |
|
✓ |
not computed |
$C_{46}$ (as 46T1) |
not computed |
$2$ |
$45$ |
$$ |
