Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 49.2 | ||
Character | \(\chi\) | \(=\) | 74.49 |
Dual form | 74.4.f.a.71.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53209 | + | 1.28558i | −0.541675 | + | 0.454519i | ||||
\(3\) | −1.34104 | − | 1.12526i | −0.258083 | − | 0.216557i | 0.504561 | − | 0.863376i | \(-0.331654\pi\) |
−0.762644 | + | 0.646819i | \(0.776099\pi\) | |||||||
\(4\) | 0.694593 | − | 3.93923i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 6.03617 | − | 2.19699i | 0.539892 | − | 0.196505i | −0.0576579 | − | 0.998336i | \(-0.518363\pi\) |
0.597550 | + | 0.801832i | \(0.296141\pi\) | |||||||
\(6\) | 3.50120 | 0.238227 | ||||||||
\(7\) | −28.8243 | + | 10.4912i | −1.55636 | + | 0.566470i | −0.969900 | − | 0.243505i | \(-0.921703\pi\) |
−0.586464 | + | 0.809975i | \(0.699480\pi\) | |||||||
\(8\) | 4.00000 | + | 6.92820i | 0.176777 | + | 0.306186i | ||||
\(9\) | −4.15634 | − | 23.5718i | −0.153938 | − | 0.873028i | ||||
\(10\) | −6.42356 | + | 11.1259i | −0.203131 | + | 0.351833i | ||||
\(11\) | −18.0799 | − | 31.3153i | −0.495572 | − | 0.858356i | 0.504415 | − | 0.863461i | \(-0.331708\pi\) |
−0.999987 | + | 0.00510559i | \(0.998375\pi\) | |||||||
\(12\) | −5.36415 | + | 4.50106i | −0.129041 | + | 0.108279i | ||||
\(13\) | 10.9484 | − | 62.0916i | 0.233580 | − | 1.32470i | −0.612003 | − | 0.790856i | \(-0.709636\pi\) |
0.845583 | − | 0.533844i | \(-0.179253\pi\) | |||||||
\(14\) | 30.6741 | − | 53.1292i | 0.585572 | − | 1.01424i | ||||
\(15\) | −10.5669 | − | 3.84605i | −0.181891 | − | 0.0662030i | ||||
\(16\) | −15.0351 | − | 5.47232i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −1.92973 | − | 10.9441i | −0.0275311 | − | 0.156137i | 0.967943 | − | 0.251170i | \(-0.0808153\pi\) |
−0.995474 | + | 0.0950334i | \(0.969704\pi\) | |||||||
\(18\) | 36.6712 | + | 30.7708i | 0.480193 | + | 0.402930i | ||||
\(19\) | −29.3592 | − | 24.6353i | −0.354498 | − | 0.297459i | 0.448095 | − | 0.893986i | \(-0.352103\pi\) |
−0.802593 | + | 0.596527i | \(0.796547\pi\) | |||||||
\(20\) | −4.46176 | − | 25.3039i | −0.0498840 | − | 0.282906i | ||||
\(21\) | 50.4598 | + | 18.3659i | 0.524344 | + | 0.190846i | ||||
\(22\) | 67.9581 | + | 24.7347i | 0.658578 | + | 0.239703i | ||||
\(23\) | −55.9596 | + | 96.9249i | −0.507321 | + | 0.878706i | 0.492643 | + | 0.870231i | \(0.336031\pi\) |
−0.999964 | + | 0.00847437i | \(0.997302\pi\) | |||||||
\(24\) | 2.43191 | − | 13.7920i | 0.0206838 | − | 0.117304i | ||||
\(25\) | −64.1469 | + | 53.8257i | −0.513175 | + | 0.430605i | ||||
\(26\) | 63.0494 | + | 109.205i | 0.475577 | + | 0.823724i | ||||
\(27\) | −44.5838 | + | 77.2214i | −0.317783 | + | 0.550417i | ||||
\(28\) | 21.3060 | + | 120.832i | 0.143802 | + | 0.815543i | ||||
\(29\) | −135.535 | − | 234.753i | −0.867866 | − | 1.50319i | −0.864173 | − | 0.503196i | \(-0.832158\pi\) |
−0.00369384 | − | 0.999993i | \(-0.501176\pi\) | |||||||
\(30\) | 21.1339 | − | 7.69210i | 0.128617 | − | 0.0468126i | ||||
\(31\) | 209.997 | 1.21666 | 0.608332 | − | 0.793682i | \(-0.291839\pi\) | ||||
0.608332 | + | 0.793682i | \(0.291839\pi\) | |||||||
\(32\) | 30.0702 | − | 10.9446i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −10.9922 | + | 62.3396i | −0.0579845 | + | 0.328847i | ||||
\(34\) | 17.0259 | + | 14.2865i | 0.0858801 | + | 0.0720619i | ||||
\(35\) | −150.939 | + | 126.653i | −0.728954 | + | 0.611665i | ||||
\(36\) | −95.7416 | −0.443248 | ||||||||
\(37\) | 198.086 | + | 106.840i | 0.880141 | + | 0.474712i | ||||
\(38\) | 76.6514 | 0.327224 | ||||||||
\(39\) | −84.5517 | + | 70.9473i | −0.347156 | + | 0.291299i | ||||
\(40\) | 39.3659 | + | 33.0319i | 0.155607 | + | 0.130570i | ||||
\(41\) | −77.3955 | + | 438.932i | −0.294808 | + | 1.67194i | 0.373172 | + | 0.927762i | \(0.378270\pi\) |
−0.667980 | + | 0.744179i | \(0.732841\pi\) | |||||||
\(42\) | −100.920 | + | 36.7317i | −0.370767 | + | 0.134948i | ||||
\(43\) | 347.729 | 1.23321 | 0.616606 | − | 0.787272i | \(-0.288507\pi\) | ||||
0.616606 | + | 0.787272i | \(0.288507\pi\) | |||||||
\(44\) | −135.916 | + | 49.4695i | −0.465685 | + | 0.169496i | ||||
\(45\) | −76.8753 | − | 133.152i | −0.254664 | − | 0.441091i | ||||
\(46\) | −38.8691 | − | 220.438i | −0.124586 | − | 0.706560i | ||||
\(47\) | 49.0504 | − | 84.9578i | 0.152228 | − | 0.263667i | −0.779818 | − | 0.626006i | \(-0.784688\pi\) |
0.932046 | + | 0.362339i | \(0.118022\pi\) | |||||||
\(48\) | 14.0048 | + | 24.2570i | 0.0421129 | + | 0.0729417i | ||||
\(49\) | 458.020 | − | 384.324i | 1.33533 | − | 1.12048i | ||||
\(50\) | 29.0818 | − | 164.931i | 0.0822559 | − | 0.466496i | ||||
\(51\) | −9.72711 | + | 16.8479i | −0.0267072 | + | 0.0462583i | ||||
\(52\) | −236.988 | − | 86.2567i | −0.632007 | − | 0.230032i | ||||
\(53\) | −201.300 | − | 73.2671i | −0.521710 | − | 0.189887i | 0.0677229 | − | 0.997704i | \(-0.478427\pi\) |
−0.589433 | + | 0.807817i | \(0.700649\pi\) | |||||||
\(54\) | −30.9676 | − | 175.626i | −0.0780398 | − | 0.442586i | ||||
\(55\) | −177.933 | − | 149.303i | −0.436226 | − | 0.366037i | ||||
\(56\) | −187.982 | − | 157.736i | −0.448574 | − | 0.376398i | ||||
\(57\) | 11.6506 | + | 66.0737i | 0.0270729 | + | 0.153538i | ||||
\(58\) | 509.443 | + | 185.422i | 1.15333 | + | 0.419778i | ||||
\(59\) | −333.216 | − | 121.281i | −0.735271 | − | 0.267617i | −0.0528767 | − | 0.998601i | \(-0.516839\pi\) |
−0.682394 | + | 0.730984i | \(0.739061\pi\) | |||||||
\(60\) | −22.4902 | + | 38.9541i | −0.0483912 | + | 0.0838160i | ||||
\(61\) | 124.522 | − | 706.198i | 0.261367 | − | 1.48229i | −0.517817 | − | 0.855491i | \(-0.673255\pi\) |
0.779184 | − | 0.626795i | \(-0.215634\pi\) | |||||||
\(62\) | −321.734 | + | 269.967i | −0.659037 | + | 0.552998i | ||||
\(63\) | 367.099 | + | 635.834i | 0.734129 | + | 1.27155i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −70.3278 | − | 398.849i | −0.134201 | − | 0.761094i | ||||
\(66\) | −63.3013 | − | 109.641i | −0.118058 | − | 0.204483i | ||||
\(67\) | −384.005 | + | 139.766i | −0.700203 | + | 0.254853i | −0.667498 | − | 0.744612i | \(-0.732635\pi\) |
−0.0327057 | + | 0.999465i | \(0.510412\pi\) | |||||||
\(68\) | −44.4515 | −0.0792727 | ||||||||
\(69\) | 184.110 | − | 67.0106i | 0.321221 | − | 0.116915i | ||||
\(70\) | 68.4303 | − | 388.088i | 0.116843 | − | 0.662648i | ||||
\(71\) | −362.994 | − | 304.588i | −0.606753 | − | 0.509126i | 0.286855 | − | 0.957974i | \(-0.407390\pi\) |
−0.893608 | + | 0.448848i | \(0.851835\pi\) | |||||||
\(72\) | 146.685 | − | 123.083i | 0.240097 | − | 0.201465i | ||||
\(73\) | 269.256 | 0.431700 | 0.215850 | − | 0.976427i | \(-0.430748\pi\) | ||||
0.215850 | + | 0.976427i | \(0.430748\pi\) | |||||||
\(74\) | −440.837 | + | 90.9669i | −0.692517 | + | 0.142901i | ||||
\(75\) | 146.592 | 0.225692 | ||||||||
\(76\) | −117.437 | + | 98.5412i | −0.177249 | + | 0.148730i | ||||
\(77\) | 849.673 | + | 712.961i | 1.25752 | + | 1.05519i | ||||
\(78\) | 38.3326 | − | 217.395i | 0.0556450 | − | 0.315579i | ||||
\(79\) | −366.425 | + | 133.368i | −0.521849 | + | 0.189938i | −0.589495 | − | 0.807772i | \(-0.700673\pi\) |
0.0676462 | + | 0.997709i | \(0.478451\pi\) | |||||||
\(80\) | −102.777 | −0.143635 | ||||||||
\(81\) | −460.599 | + | 167.644i | −0.631823 | + | 0.229965i | ||||
\(82\) | −445.703 | − | 771.980i | −0.600239 | − | 1.03965i | ||||
\(83\) | −85.2656 | − | 483.565i | −0.112760 | − | 0.639496i | −0.987835 | − | 0.155508i | \(-0.950299\pi\) |
0.875074 | − | 0.483989i | \(-0.160812\pi\) | |||||||
\(84\) | 107.396 | − | 186.016i | 0.139499 | − | 0.241619i | ||||
\(85\) | −35.6922 | − | 61.8206i | −0.0455454 | − | 0.0788869i | ||||
\(86\) | −532.751 | + | 447.031i | −0.668000 | + | 0.560519i | ||||
\(87\) | −82.4019 | + | 467.324i | −0.101545 | + | 0.575890i | ||||
\(88\) | 144.639 | − | 250.522i | 0.175211 | − | 0.303475i | ||||
\(89\) | 907.822 | + | 330.420i | 1.08122 | + | 0.393534i | 0.820363 | − | 0.571843i | \(-0.193771\pi\) |
0.260861 | + | 0.965376i | \(0.415993\pi\) | |||||||
\(90\) | 288.956 | + | 105.172i | 0.338430 | + | 0.123178i | ||||
\(91\) | 335.833 | + | 1904.60i | 0.386867 | + | 2.19403i | ||||
\(92\) | 342.940 | + | 287.761i | 0.388630 | + | 0.326100i | ||||
\(93\) | −281.614 | − | 236.302i | −0.314000 | − | 0.263478i | ||||
\(94\) | 34.0701 | + | 193.221i | 0.0373836 | + | 0.212013i | ||||
\(95\) | −231.341 | − | 84.2011i | −0.249843 | − | 0.0909353i | ||||
\(96\) | −52.6408 | − | 19.1597i | −0.0559649 | − | 0.0203696i | ||||
\(97\) | 492.404 | − | 852.869i | 0.515423 | − | 0.892739i | −0.484417 | − | 0.874837i | \(-0.660968\pi\) |
0.999840 | − | 0.0179016i | \(-0.00569856\pi\) | |||||||
\(98\) | −207.649 | + | 1177.64i | −0.214038 | + | 1.21387i | ||||
\(99\) | −663.010 | + | 556.332i | −0.673081 | + | 0.564782i | ||||
\(100\) | 167.476 | + | 290.076i | 0.167476 | + | 0.290076i | ||||
\(101\) | 467.154 | − | 809.135i | 0.460234 | − | 0.797148i | −0.538739 | − | 0.842473i | \(-0.681099\pi\) |
0.998972 | + | 0.0453250i | \(0.0144323\pi\) | |||||||
\(102\) | −6.75638 | − | 38.3173i | −0.00655864 | − | 0.0371959i | ||||
\(103\) | 18.1071 | + | 31.3623i | 0.0173218 | + | 0.0300022i | 0.874556 | − | 0.484924i | \(-0.161153\pi\) |
−0.857235 | + | 0.514926i | \(0.827819\pi\) | |||||||
\(104\) | 473.977 | − | 172.513i | 0.446896 | − | 0.162657i | ||||
\(105\) | 344.933 | 0.320591 | ||||||||
\(106\) | 402.599 | − | 146.534i | 0.368905 | − | 0.134270i | ||||
\(107\) | 182.702 | − | 1036.15i | 0.165069 | − | 0.936155i | −0.783923 | − | 0.620858i | \(-0.786784\pi\) |
0.948993 | − | 0.315298i | \(-0.102104\pi\) | |||||||
\(108\) | 273.225 | + | 229.263i | 0.243436 | + | 0.204267i | ||||
\(109\) | 506.333 | − | 424.864i | 0.444935 | − | 0.373345i | −0.392617 | − | 0.919702i | \(-0.628430\pi\) |
0.837552 | + | 0.546357i | \(0.183986\pi\) | |||||||
\(110\) | 464.549 | 0.402664 | ||||||||
\(111\) | −145.418 | − | 366.176i | −0.124347 | − | 0.313116i | ||||
\(112\) | 490.786 | 0.414062 | ||||||||
\(113\) | −762.785 | + | 640.052i | −0.635015 | + | 0.532841i | −0.902483 | − | 0.430726i | \(-0.858258\pi\) |
0.267467 | + | 0.963567i | \(0.413813\pi\) | |||||||
\(114\) | −102.792 | − | 86.2531i | −0.0844509 | − | 0.0708627i | ||||
\(115\) | −124.839 | + | 707.998i | −0.101229 | + | 0.574097i | ||||
\(116\) | −1018.89 | + | 370.844i | −0.815528 | + | 0.296828i | ||||
\(117\) | −1509.11 | −1.19246 | ||||||||
\(118\) | 666.431 | − | 242.561i | 0.519915 | − | 0.189234i | ||||
\(119\) | 170.439 | + | 295.209i | 0.131295 | + | 0.227410i | ||||
\(120\) | −15.6215 | − | 88.5940i | −0.0118837 | − | 0.0673958i | ||||
\(121\) | 11.7354 | − | 20.3263i | 0.00881697 | − | 0.0152714i | ||||
\(122\) | 717.093 | + | 1242.04i | 0.532152 | + | 0.921714i | ||||
\(123\) | 597.704 | − | 501.533i | 0.438156 | − | 0.367657i | ||||
\(124\) | 145.863 | − | 827.227i | 0.105636 | − | 0.599090i | ||||
\(125\) | −670.420 | + | 1161.20i | −0.479714 | + | 0.830888i | ||||
\(126\) | −1379.84 | − | 502.221i | −0.975603 | − | 0.355090i | ||||
\(127\) | 554.789 | + | 201.927i | 0.387634 | + | 0.141087i | 0.528483 | − | 0.848944i | \(-0.322761\pi\) |
−0.140849 | + | 0.990031i | \(0.544983\pi\) | |||||||
\(128\) | −22.2270 | − | 126.055i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | −466.317 | − | 391.287i | −0.318271 | − | 0.267061i | ||||
\(130\) | 620.499 | + | 520.660i | 0.418626 | + | 0.351269i | ||||
\(131\) | 182.342 | + | 1034.11i | 0.121613 | + | 0.689701i | 0.983262 | + | 0.182197i | \(0.0583208\pi\) |
−0.861649 | + | 0.507504i | \(0.830568\pi\) | |||||||
\(132\) | 237.935 | + | 86.6013i | 0.156891 | + | 0.0571036i | ||||
\(133\) | 1104.71 | + | 402.082i | 0.720230 | + | 0.262142i | ||||
\(134\) | 408.649 | − | 707.801i | 0.263447 | − | 0.456304i | ||||
\(135\) | −99.4610 | + | 564.072i | −0.0634092 | + | 0.359611i | ||||
\(136\) | 68.1037 | − | 57.1458i | 0.0429400 | − | 0.0360310i | ||||
\(137\) | −897.062 | − | 1553.76i | −0.559424 | − | 0.968952i | −0.997545 | − | 0.0700351i | \(-0.977689\pi\) |
0.438120 | − | 0.898916i | \(-0.355644\pi\) | |||||||
\(138\) | −195.926 | + | 339.354i | −0.120857 | + | 0.209331i | ||||
\(139\) | −377.176 | − | 2139.07i | −0.230156 | − | 1.30528i | −0.852579 | − | 0.522598i | \(-0.824963\pi\) |
0.622424 | − | 0.782680i | \(-0.286148\pi\) | |||||||
\(140\) | 394.074 | + | 682.557i | 0.237895 | + | 0.412047i | ||||
\(141\) | −161.378 | + | 58.7370i | −0.0963867 | + | 0.0350819i | ||||
\(142\) | 947.710 | 0.560071 | ||||||||
\(143\) | −2142.36 | + | 779.756i | −1.25282 | + | 0.455989i | ||||
\(144\) | −66.5014 | + | 377.148i | −0.0384846 | + | 0.218257i | ||||
\(145\) | −1333.86 | − | 1119.24i | −0.763937 | − | 0.641020i | ||||
\(146\) | −412.525 | + | 346.149i | −0.233841 | + | 0.196216i | ||||
\(147\) | −1046.69 | −0.587275 | ||||||||
\(148\) | 558.456 | − | 706.098i | 0.310168 | − | 0.392168i | ||||
\(149\) | 1672.54 | 0.919596 | 0.459798 | − | 0.888023i | \(-0.347922\pi\) | ||||
0.459798 | + | 0.888023i | \(0.347922\pi\) | |||||||
\(150\) | −224.591 | + | 188.454i | −0.122252 | + | 0.102582i | ||||
\(151\) | −2444.55 | − | 2051.22i | −1.31745 | − | 1.10547i | −0.986839 | − | 0.161705i | \(-0.948301\pi\) |
−0.330611 | − | 0.943767i | \(-0.607255\pi\) | |||||||
\(152\) | 53.2415 | − | 301.948i | 0.0284109 | − | 0.161126i | ||||
\(153\) | −249.950 | + | 90.9744i | −0.132074 | + | 0.0480709i | ||||
\(154\) | −2218.34 | −1.16077 | ||||||||
\(155\) | 1267.58 | − | 461.361i | 0.656867 | − | 0.239080i | ||||
\(156\) | 220.749 | + | 382.348i | 0.113295 | + | 0.196233i | ||||
\(157\) | 464.913 | + | 2636.65i | 0.236332 | + | 1.34030i | 0.839791 | + | 0.542910i | \(0.182678\pi\) |
−0.603459 | + | 0.797394i | \(0.706211\pi\) | |||||||
\(158\) | 389.942 | − | 675.399i | 0.196342 | − | 0.340075i | ||||
\(159\) | 187.506 | + | 324.769i | 0.0935231 | + | 0.161987i | ||||
\(160\) | 157.463 | − | 132.128i | 0.0778036 | − | 0.0652850i | ||||
\(161\) | 596.138 | − | 3380.87i | 0.291815 | − | 1.65497i | ||||
\(162\) | 490.159 | − | 848.980i | 0.237719 | − | 0.411742i | ||||
\(163\) | 3812.06 | + | 1387.48i | 1.83180 | + | 0.666721i | 0.992376 | + | 0.123245i | \(0.0393301\pi\) |
0.839425 | + | 0.543476i | \(0.182892\pi\) | |||||||
\(164\) | 1675.29 | + | 609.757i | 0.797674 | + | 0.290330i | ||||
\(165\) | 70.6088 | + | 400.443i | 0.0333145 | + | 0.188936i | ||||
\(166\) | 752.294 | + | 631.250i | 0.351743 | + | 0.295148i | ||||
\(167\) | −2426.63 | − | 2036.18i | −1.12442 | − | 0.943500i | −0.125600 | − | 0.992081i | \(-0.540086\pi\) |
−0.998819 | + | 0.0485813i | \(0.984530\pi\) | |||||||
\(168\) | 74.5967 | + | 423.059i | 0.0342575 | + | 0.194284i | ||||
\(169\) | −1670.99 | − | 608.190i | −0.760578 | − | 0.276828i | ||||
\(170\) | 134.159 | + | 48.8297i | 0.0605265 | + | 0.0220298i | ||||
\(171\) | −458.671 | + | 794.441i | −0.205119 | + | 0.355277i | ||||
\(172\) | 241.530 | − | 1369.78i | 0.107072 | − | 0.607238i | ||||
\(173\) | 319.217 | − | 267.855i | 0.140287 | − | 0.117715i | −0.569944 | − | 0.821684i | \(-0.693035\pi\) |
0.710231 | + | 0.703969i | \(0.248591\pi\) | |||||||
\(174\) | −474.534 | − | 821.916i | −0.206749 | − | 0.358100i | ||||
\(175\) | 1284.29 | − | 2224.46i | 0.554762 | − | 0.960877i | ||||
\(176\) | 100.465 | + | 569.767i | 0.0430276 | + | 0.244022i | ||||
\(177\) | 310.382 | + | 537.598i | 0.131807 | + | 0.228296i | ||||
\(178\) | −1815.64 | + | 660.841i | −0.764541 | + | 0.278270i | ||||
\(179\) | −549.140 | −0.229300 | −0.114650 | − | 0.993406i | \(-0.536575\pi\) | ||||
−0.114650 | + | 0.993406i | \(0.536575\pi\) | |||||||
\(180\) | −577.913 | + | 210.343i | −0.239306 | + | 0.0871003i | ||||
\(181\) | 42.3254 | − | 240.039i | 0.0173813 | − | 0.0985744i | −0.974883 | − | 0.222718i | \(-0.928507\pi\) |
0.992264 | + | 0.124143i | \(0.0396183\pi\) | |||||||
\(182\) | −2963.04 | − | 2486.28i | −1.20679 | − | 1.01261i | ||||
\(183\) | −961.648 | + | 806.919i | −0.388454 | + | 0.325952i | ||||
\(184\) | −895.354 | −0.358730 | ||||||||
\(185\) | 1430.41 | + | 209.710i | 0.568464 | + | 0.0833416i | ||||
\(186\) | 735.242 | 0.289842 | ||||||||
\(187\) | −307.827 | + | 258.297i | −0.120377 | + | 0.101008i | ||||
\(188\) | −300.598 | − | 252.232i | −0.116614 | − | 0.0978506i | ||||
\(189\) | 474.952 | − | 2693.58i | 0.182792 | − | 1.03666i | ||||
\(190\) | 462.681 | − | 168.402i | 0.176665 | − | 0.0643010i | ||||
\(191\) | −390.752 | −0.148030 | −0.0740152 | − | 0.997257i | \(-0.523581\pi\) | ||||
−0.0740152 | + | 0.997257i | \(0.523581\pi\) | |||||||
\(192\) | 105.282 | − | 38.3194i | 0.0395732 | − | 0.0144035i | ||||
\(193\) | 718.659 | + | 1244.75i | 0.268032 | + | 0.464245i | 0.968354 | − | 0.249582i | \(-0.0802933\pi\) |
−0.700321 | + | 0.713828i | \(0.746960\pi\) | |||||||
\(194\) | 342.020 | + | 1939.69i | 0.126575 | + | 0.717844i | ||||
\(195\) | −354.498 | + | 614.009i | −0.130185 | + | 0.225488i | ||||
\(196\) | −1195.80 | − | 2071.19i | −0.435789 | − | 0.754809i | ||||
\(197\) | 851.520 | − | 714.510i | 0.307961 | − | 0.258410i | −0.475688 | − | 0.879614i | \(-0.657801\pi\) |
0.783649 | + | 0.621204i | \(0.213356\pi\) | |||||||
\(198\) | 300.584 | − | 1704.70i | 0.107887 | − | 0.611857i | ||||
\(199\) | −680.694 | + | 1179.00i | −0.242478 | + | 0.419984i | −0.961419 | − | 0.275086i | \(-0.911294\pi\) |
0.718942 | + | 0.695070i | \(0.244627\pi\) | |||||||
\(200\) | −629.503 | − | 229.120i | −0.222563 | − | 0.0810062i | ||||
\(201\) | 672.239 | + | 244.675i | 0.235901 | + | 0.0858609i | ||||
\(202\) | 324.482 | + | 1840.23i | 0.113022 | + | 0.640980i | ||||
\(203\) | 6369.51 | + | 5344.65i | 2.20223 | + | 1.84789i | ||||
\(204\) | 59.6112 | + | 50.0197i | 0.0204589 | + | 0.0171671i | ||||
\(205\) | 497.155 | + | 2819.50i | 0.169379 | + | 0.960599i | ||||
\(206\) | −68.0602 | − | 24.7719i | −0.0230193 | − | 0.00837835i | ||||
\(207\) | 2517.28 | + | 916.214i | 0.845231 | + | 0.307639i | ||||
\(208\) | −504.395 | + | 873.638i | −0.168142 | + | 0.291230i | ||||
\(209\) | −240.650 | + | 1364.80i | −0.0796465 | + | 0.451698i | ||||
\(210\) | −528.469 | + | 443.438i | −0.173656 | + | 0.145715i | ||||
\(211\) | 231.634 | + | 401.202i | 0.0755751 | + | 0.130900i | 0.901336 | − | 0.433120i | \(-0.142587\pi\) |
−0.825761 | + | 0.564020i | \(0.809254\pi\) | |||||||
\(212\) | −428.437 | + | 742.075i | −0.138798 | + | 0.240405i | ||||
\(213\) | 144.046 | + | 816.928i | 0.0463376 | + | 0.262793i | ||||
\(214\) | 1052.14 | + | 1822.35i | 0.336087 | + | 0.582119i | ||||
\(215\) | 2098.95 | − | 763.955i | 0.665801 | − | 0.242332i | ||||
\(216\) | −713.340 | −0.224707 | ||||||||
\(217\) | −6053.01 | + | 2203.12i | −1.89357 | + | 0.689204i | ||||
\(218\) | −229.553 | + | 1301.86i | −0.0713178 | + | 0.404463i | ||||
\(219\) | −361.083 | − | 302.985i | −0.111414 | − | 0.0934877i | ||||
\(220\) | −711.731 | + | 597.213i | −0.218113 | + | 0.183019i | ||||
\(221\) | −700.661 | −0.213265 | ||||||||
\(222\) | 693.541 | + | 374.068i | 0.209673 | + | 0.113089i | ||||
\(223\) | 4118.87 | 1.23686 | 0.618430 | − | 0.785840i | \(-0.287769\pi\) | ||||
0.618430 | + | 0.785840i | \(0.287769\pi\) | |||||||
\(224\) | −751.928 | + | 630.942i | −0.224287 | + | 0.188199i | ||||
\(225\) | 1535.38 | + | 1288.34i | 0.454928 | + | 0.381730i | ||||
\(226\) | 345.818 | − | 1961.23i | 0.101785 | − | 0.577254i | ||||
\(227\) | −1495.46 | + | 544.302i | −0.437256 | + | 0.159148i | −0.551262 | − | 0.834332i | \(-0.685854\pi\) |
0.114007 | + | 0.993480i | \(0.463631\pi\) | |||||||
\(228\) | 268.372 | 0.0779534 | ||||||||
\(229\) | −4283.45 | + | 1559.05i | −1.23606 | + | 0.449890i | −0.875670 | − | 0.482910i | \(-0.839580\pi\) |
−0.360394 | + | 0.932800i | \(0.617358\pi\) | |||||||
\(230\) | −718.920 | − | 1245.21i | −0.206105 | − | 0.356985i | ||||
\(231\) | −337.175 | − | 1912.21i | −0.0960367 | − | 0.544651i | ||||
\(232\) | 1084.28 | − | 1878.02i | 0.306837 | − | 0.531457i | ||||
\(233\) | 2185.99 | + | 3786.25i | 0.614631 | + | 1.06457i | 0.990449 | + | 0.137879i | \(0.0440285\pi\) |
−0.375818 | + | 0.926694i | \(0.622638\pi\) | |||||||
\(234\) | 2312.10 | − | 1940.08i | 0.645925 | − | 0.541995i | ||||
\(235\) | 109.426 | − | 620.583i | 0.0303751 | − | 0.172265i | ||||
\(236\) | −709.202 | + | 1228.37i | −0.195615 | + | 0.338815i | ||||
\(237\) | 641.465 | + | 233.474i | 0.175813 | + | 0.0639906i | ||||
\(238\) | −640.641 | − | 233.174i | −0.174482 | − | 0.0635061i | ||||
\(239\) | −1182.15 | − | 6704.32i | −0.319946 | − | 1.81450i | −0.543041 | − | 0.839706i | \(-0.682727\pi\) |
0.223095 | − | 0.974797i | \(-0.428384\pi\) | |||||||
\(240\) | 137.828 | + | 115.651i | 0.0370698 | + | 0.0311052i | ||||
\(241\) | 1335.61 | + | 1120.71i | 0.356988 | + | 0.299548i | 0.803589 | − | 0.595185i | \(-0.202921\pi\) |
−0.446601 | + | 0.894733i | \(0.647366\pi\) | |||||||
\(242\) | 8.15131 | + | 46.2284i | 0.00216523 | + | 0.0122796i | ||||
\(243\) | 3068.66 | + | 1116.90i | 0.810100 | + | 0.294852i | ||||
\(244\) | −2695.39 | − | 981.041i | −0.707190 | − | 0.257396i | ||||
\(245\) | 1920.33 | − | 3326.11i | 0.500757 | − | 0.867337i | ||||
\(246\) | −270.977 | + | 1536.79i | −0.0702312 | + | 0.398301i | ||||
\(247\) | −1851.08 | + | 1553.24i | −0.476848 | + | 0.400123i | ||||
\(248\) | 839.989 | + | 1454.90i | 0.215078 | + | 0.372526i | ||||
\(249\) | −429.795 | + | 744.426i | −0.109386 | + | 0.189462i | ||||
\(250\) | −465.669 | − | 2640.94i | −0.117806 | − | 0.668111i | ||||
\(251\) | 26.1715 | + | 45.3304i | 0.00658140 | + | 0.0113993i | 0.869297 | − | 0.494290i | \(-0.164572\pi\) |
−0.862716 | + | 0.505689i | \(0.831238\pi\) | |||||||
\(252\) | 2759.68 | − | 1004.44i | 0.689855 | − | 0.251087i | ||||
\(253\) | 4046.97 | 1.00566 | ||||||||
\(254\) | −1109.58 | + | 403.853i | −0.274099 | + | 0.0997638i | ||||
\(255\) | −21.7000 | + | 123.067i | −0.00532905 | + | 0.0302225i | ||||
\(256\) | 196.107 | + | 164.554i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −3652.03 | + | 3064.42i | −0.886410 | + | 0.743786i | −0.967487 | − | 0.252922i | \(-0.918608\pi\) |
0.0810770 | + | 0.996708i | \(0.474164\pi\) | |||||||
\(258\) | 1217.47 | 0.293784 | ||||||||
\(259\) | −6830.57 | − | 1001.42i | −1.63873 | − | 0.240252i | ||||
\(260\) | −1620.01 | −0.386418 | ||||||||
\(261\) | −4970.21 | + | 4170.50i | −1.17873 | + | 0.989071i | ||||
\(262\) | −1608.79 | − | 1349.94i | −0.379357 | − | 0.318319i | ||||
\(263\) | 592.257 | − | 3358.86i | 0.138860 | − | 0.787513i | −0.833234 | − | 0.552921i | \(-0.813513\pi\) |
0.972094 | − | 0.234593i | \(-0.0753756\pi\) | |||||||
\(264\) | −475.870 | + | 173.203i | −0.110939 | + | 0.0403784i | ||||
\(265\) | −1376.05 | −0.318981 | ||||||||
\(266\) | −2209.42 | + | 804.163i | −0.509279 | + | 0.185362i | ||||
\(267\) | −845.614 | − | 1464.65i | −0.193823 | − | 0.335711i | ||||
\(268\) | 283.845 | + | 1609.76i | 0.0646962 | + | 0.366910i | ||||
\(269\) | 405.384 | − | 702.146i | 0.0918837 | − | 0.159147i | −0.816420 | − | 0.577459i | \(-0.804045\pi\) |
0.908304 | + | 0.418311i | \(0.137378\pi\) | |||||||
\(270\) | −572.773 | − | 992.072i | −0.129103 | − | 0.223613i | ||||
\(271\) | 5401.77 | − | 4532.63i | 1.21083 | − | 1.01601i | 0.211575 | − | 0.977362i | \(-0.432141\pi\) |
0.999253 | − | 0.0386435i | \(-0.0123037\pi\) | |||||||
\(272\) | −30.8757 | + | 175.105i | −0.00688278 | + | 0.0390342i | ||||
\(273\) | 1692.82 | − | 2932.05i | 0.375290 | − | 0.650021i | ||||
\(274\) | 3371.85 | + | 1227.25i | 0.743434 | + | 0.270588i | ||||
\(275\) | 2845.33 | + | 1035.62i | 0.623928 | + | 0.227091i | ||||
\(276\) | −136.089 | − | 771.797i | −0.0296796 | − | 0.168321i | ||||
\(277\) | −2135.70 | − | 1792.07i | −0.463256 | − | 0.388718i | 0.381071 | − | 0.924546i | \(-0.375555\pi\) |
−0.844327 | + | 0.535828i | \(0.820000\pi\) | |||||||
\(278\) | 3327.80 | + | 2792.36i | 0.717944 | + | 0.602427i | ||||
\(279\) | −872.819 | − | 4950.00i | −0.187291 | − | 1.06218i | ||||
\(280\) | −1481.24 | − | 539.126i | −0.316145 | − | 0.115068i | ||||
\(281\) | −886.217 | − | 322.557i | −0.188140 | − | 0.0684773i | 0.246232 | − | 0.969211i | \(-0.420807\pi\) |
−0.434372 | + | 0.900734i | \(0.643030\pi\) | |||||||
\(282\) | 171.735 | − | 297.454i | 0.0362649 | − | 0.0628126i | ||||
\(283\) | 95.6156 | − | 542.263i | 0.0200840 | − | 0.113902i | −0.973118 | − | 0.230308i | \(-0.926026\pi\) |
0.993202 | + | 0.116407i | \(0.0371376\pi\) | |||||||
\(284\) | −1451.98 | + | 1218.35i | −0.303376 | + | 0.254563i | ||||
\(285\) | 215.488 | + | 373.236i | 0.0447874 | + | 0.0775741i | ||||
\(286\) | 2279.85 | − | 3948.82i | 0.471365 | − | 0.816429i | ||||
\(287\) | −2374.04 | − | 13463.8i | −0.488276 | − | 2.76915i | ||||
\(288\) | −382.966 | − | 663.317i | −0.0783559 | − | 0.135716i | ||||
\(289\) | 4500.66 | − | 1638.11i | 0.916072 | − | 0.333423i | ||||
\(290\) | 3482.46 | 0.705162 | ||||||||
\(291\) | −1620.03 | + | 589.644i | −0.326351 | + | 0.118782i | ||||
\(292\) | 187.023 | − | 1060.66i | 0.0374819 | − | 0.212571i | ||||
\(293\) | −5728.32 | − | 4806.63i | −1.14216 | − | 0.958384i | −0.142650 | − | 0.989773i | \(-0.545562\pi\) |
−0.999507 | + | 0.0313893i | \(0.990007\pi\) | |||||||
\(294\) | 1603.62 | − | 1345.60i | 0.318112 | − | 0.266928i | ||||
\(295\) | −2277.80 | −0.449555 | ||||||||
\(296\) | 52.1379 | + | 1799.74i | 0.0102380 | + | 0.353405i | ||||
\(297\) | 3224.28 | 0.629938 | ||||||||
\(298\) | −2562.48 | + | 2150.18i | −0.498123 | + | 0.417974i | ||||
\(299\) | 5405.55 | + | 4535.79i | 1.04552 | + | 0.877297i | ||||
\(300\) | 101.821 | − | 577.458i | 0.0195955 | − | 0.111132i | ||||
\(301\) | −10023.0 | + | 3648.08i | −1.91933 | + | 0.698577i | ||||
\(302\) | 6382.28 | 1.21609 | ||||||||
\(303\) | −1536.96 | + | 559.409i | −0.291407 | + | 0.106063i | ||||
\(304\) | 306.606 | + | 531.057i | 0.0578456 | + | 0.100191i | ||||
\(305\) | −799.874 | − | 4536.31i | −0.150166 | − | 0.851634i | ||||
\(306\) | 265.991 | − | 460.711i | 0.0496919 | − | 0.0860689i | ||||
\(307\) | 2128.84 | + | 3687.26i | 0.395763 | + | 0.685482i | 0.993198 | − | 0.116435i | \(-0.0371467\pi\) |
−0.597435 | + | 0.801917i | \(0.703813\pi\) | |||||||
\(308\) | 3398.69 | − | 2851.84i | 0.628761 | − | 0.527593i | ||||
\(309\) | 11.0087 | − | 62.4333i | 0.00202674 | − | 0.0114942i | ||||
\(310\) | −1348.93 | + | 2336.42i | −0.247142 | + | 0.428063i | ||||
\(311\) | −7544.12 | − | 2745.83i | −1.37552 | − | 0.500650i | −0.454705 | − | 0.890642i | \(-0.650255\pi\) |
−0.920818 | + | 0.389993i | \(0.872478\pi\) | |||||||
\(312\) | −829.744 | − | 302.002i | −0.150561 | − | 0.0547997i | ||||
\(313\) | 788.735 | + | 4473.14i | 0.142434 | + | 0.807785i | 0.969392 | + | 0.245520i | \(0.0789587\pi\) |
−0.826957 | + | 0.562265i | \(0.809930\pi\) | |||||||
\(314\) | −4101.90 | − | 3441.90i | −0.737209 | − | 0.618592i | ||||
\(315\) | 3612.79 | + | 3031.49i | 0.646215 | + | 0.542239i | ||||
\(316\) | 270.851 | + | 1536.07i | 0.0482169 | + | 0.273452i | ||||
\(317\) | 4129.79 | + | 1503.12i | 0.731710 | + | 0.266321i | 0.680888 | − | 0.732387i | \(-0.261594\pi\) |
0.0508215 | + | 0.998708i | \(0.483816\pi\) | |||||||
\(318\) | −704.791 | − | 256.523i | −0.124285 | − | 0.0452361i | ||||
\(319\) | −4900.90 | + | 8488.60i | −0.860180 | + | 1.48988i | ||||
\(320\) | −71.3882 | + | 404.862i | −0.0124710 | + | 0.0707265i | ||||
\(321\) | −1410.96 | + | 1183.93i | −0.245333 | + | 0.205859i | ||||
\(322\) | 3433.02 | + | 5946.17i | 0.594146 | + | 1.02909i | ||||
\(323\) | −212.955 | + | 368.848i | −0.0366846 | + | 0.0635395i | ||||
\(324\) | 340.461 | + | 1930.85i | 0.0583781 | + | 0.331078i | ||||
\(325\) | 2639.81 | + | 4572.29i | 0.450555 | + | 0.780384i | ||||
\(326\) | −7624.12 | + | 2774.95i | −1.29528 | + | 0.471443i | ||||
\(327\) | −1157.10 | −0.195681 | ||||||||
\(328\) | −3350.59 | + | 1219.51i | −0.564041 | + | 0.205294i | ||||
\(329\) | −522.535 | + | 2963.44i | −0.0875631 | + | 0.496595i | ||||
\(330\) | −622.978 | − | 522.741i | −0.103921 | − | 0.0871998i | ||||
\(331\) | 7999.26 | − | 6712.18i | 1.32834 | − | 1.11461i | 0.343873 | − | 0.939016i | \(-0.388261\pi\) |
0.984463 | − | 0.175590i | \(-0.0561833\pi\) | |||||||
\(332\) | −1964.10 | −0.324681 | ||||||||
\(333\) | 1695.09 | − | 5113.31i | 0.278950 | − | 0.841464i | ||||
\(334\) | 6335.47 | 1.03791 | ||||||||
\(335\) | −2010.85 | + | 1687.31i | −0.327954 | + | 0.275186i | ||||
\(336\) | −658.163 | − | 552.264i | −0.106862 | − | 0.0896681i | ||||
\(337\) | −388.256 | + | 2201.91i | −0.0627586 | + | 0.355922i | 0.937216 | + | 0.348750i | \(0.113394\pi\) |
−0.999974 | + | 0.00717139i | \(0.997717\pi\) | |||||||
\(338\) | 3341.98 | − | 1216.38i | 0.537810 | − | 0.195747i | ||||
\(339\) | 1743.15 | 0.279277 | ||||||||
\(340\) | −268.317 | + | 97.6595i | −0.0427987 | + | 0.0155774i | ||||
\(341\) | −3796.73 | − | 6576.12i | −0.602945 | − | 1.04433i | ||||
\(342\) | −318.589 | − | 1806.81i | −0.0503723 | − | 0.285676i | ||||
\(343\) | −3909.45 | + | 6771.37i | −0.615425 | + | 1.06595i | ||||
\(344\) | 1390.91 | + | 2409.13i | 0.218003 | + | 0.377592i | ||||
\(345\) | 964.099 | − | 808.975i | 0.150450 | − | 0.126243i | ||||
\(346\) | −144.721 | + | 820.756i | −0.0224863 | + | 0.127526i | ||||
\(347\) | 1890.99 | − | 3275.30i | 0.292547 | − | 0.506706i | −0.681864 | − | 0.731479i | \(-0.738831\pi\) |
0.974411 | + | 0.224772i | \(0.0721638\pi\) | |||||||
\(348\) | 1783.66 | + | 649.200i | 0.274754 | + | 0.100002i | ||||
\(349\) | −10444.1 | − | 3801.33i | −1.60189 | − | 0.583039i | −0.622074 | − | 0.782959i | \(-0.713710\pi\) |
−0.979812 | + | 0.199920i | \(0.935932\pi\) | |||||||
\(350\) | 892.061 | + | 5059.13i | 0.136236 | + | 0.772633i | ||||
\(351\) | 4306.67 | + | 3613.73i | 0.654909 | + | 0.549534i | ||||
\(352\) | −886.400 | − | 743.778i | −0.134220 | − | 0.112624i | ||||
\(353\) | 1520.15 | + | 8621.20i | 0.229205 | + | 1.29989i | 0.854481 | + | 0.519483i | \(0.173875\pi\) |
−0.625276 | + | 0.780404i | \(0.715014\pi\) | |||||||
\(354\) | −1166.66 | − | 424.628i | −0.175161 | − | 0.0637534i | ||||
\(355\) | −2860.27 | − | 1041.05i | −0.427626 | − | 0.155643i | ||||
\(356\) | 1932.17 | − | 3346.61i | 0.287654 | − | 0.498231i | ||||
\(357\) | 103.623 | − | 587.676i | 0.0153622 | − | 0.0871235i | ||||
\(358\) | 841.332 | − | 705.961i | 0.124206 | − | 0.104221i | ||||
\(359\) | 5907.15 | + | 10231.5i | 0.868432 | + | 1.50417i | 0.863598 | + | 0.504181i | \(0.168205\pi\) |
0.00483409 | + | 0.999988i | \(0.498461\pi\) | |||||||
\(360\) | 615.002 | − | 1065.21i | 0.0900374 | − | 0.155949i | ||||
\(361\) | −935.988 | − | 5308.25i | −0.136461 | − | 0.773910i | ||||
\(362\) | 243.742 | + | 422.174i | 0.0353889 | + | 0.0612954i | ||||
\(363\) | −38.6100 | + | 14.0529i | −0.00558265 | + | 0.00203192i | ||||
\(364\) | 7735.95 | 1.11394 | ||||||||
\(365\) | 1625.28 | − | 591.553i | 0.233071 | − | 0.0848309i | ||||
\(366\) | 435.976 | − | 2472.54i | 0.0622646 | − | 0.353120i | ||||
\(367\) | −7991.12 | − | 6705.35i | −1.13660 | − | 0.953723i | −0.137280 | − | 0.990532i | \(-0.543836\pi\) |
−0.999322 | + | 0.0368093i | \(0.988281\pi\) | |||||||
\(368\) | 1371.76 | − | 1151.04i | 0.194315 | − | 0.163050i | ||||
\(369\) | 10668.1 | 1.50503 | ||||||||
\(370\) | −2461.11 | + | 1517.61i | −0.345803 | + | 0.213234i | ||||
\(371\) | 6570.97 | 0.919536 | ||||||||
\(372\) | −1126.46 | + | 945.209i | −0.157000 | + | 0.131739i | ||||
\(373\) | −121.179 | − | 101.681i | −0.0168215 | − | 0.0141149i | 0.634338 | − | 0.773056i | \(-0.281273\pi\) |
−0.651160 | + | 0.758941i | \(0.725717\pi\) | |||||||
\(374\) | 139.557 | − | 791.469i | 0.0192950 | − | 0.109428i | ||||
\(375\) | 2205.72 | − | 802.816i | 0.303741 | − | 0.110553i | ||||
\(376\) | 784.807 | 0.107642 | ||||||||
\(377\) | −16060.0 | + | 5845.38i | −2.19399 | + | 0.798547i | ||||
\(378\) | 2735.14 | + | 4737.40i | 0.372170 | + | 0.644617i | ||||
\(379\) | 1538.07 | + | 8722.85i | 0.208458 | + | 1.18222i | 0.891905 | + | 0.452223i | \(0.149369\pi\) |
−0.683447 | + | 0.730000i | \(0.739520\pi\) | |||||||
\(380\) | −492.375 | + | 852.819i | −0.0664693 | + | 0.115128i | ||||
\(381\) | −516.772 | − | 895.076i | −0.0694883 | − | 0.120357i | ||||
\(382\) | 598.666 | − | 502.341i | 0.0801844 | − | 0.0672827i | ||||
\(383\) | 686.147 | − | 3891.33i | 0.0915417 | − | 0.519159i | −0.904211 | − | 0.427087i | \(-0.859540\pi\) |
0.995752 | − | 0.0920721i | \(-0.0293490\pi\) | |||||||
\(384\) | −112.038 | + | 194.056i | −0.0148892 | + | 0.0257888i | ||||
\(385\) | 6695.14 | + | 2436.83i | 0.886275 | + | 0.322578i | ||||
\(386\) | −2701.28 | − | 983.184i | −0.356195 | − | 0.129644i | ||||
\(387\) | −1445.28 | − | 8196.58i | −0.189839 | − | 1.07663i | ||||
\(388\) | −3017.63 | − | 2532.09i | −0.394837 | − | 0.331308i | ||||
\(389\) | 7237.73 | + | 6073.18i | 0.943361 | + | 0.791574i | 0.978167 | − | 0.207820i | \(-0.0666368\pi\) |
−0.0348058 | + | 0.999394i | \(0.511081\pi\) | |||||||
\(390\) | −246.232 | − | 1396.45i | −0.0319704 | − | 0.181313i | ||||
\(391\) | 1168.74 | + | 425.386i | 0.151165 | + | 0.0550197i | ||||
\(392\) | 4494.76 | + | 1635.96i | 0.579131 | + | 0.210787i | ||||
\(393\) | 919.123 | − | 1591.97i | 0.117974 | − | 0.204336i | ||||
\(394\) | −386.048 | + | 2189.39i | −0.0493625 | + | 0.279949i | ||||
\(395\) | −1918.80 | + | 1610.06i | −0.244418 | + | 0.205091i | ||||
\(396\) | 1731.00 | + | 2998.17i | 0.219661 | + | 0.380465i | ||||
\(397\) | −5954.74 | + | 10313.9i | −0.752796 | + | 1.30388i | 0.193667 | + | 0.981067i | \(0.437962\pi\) |
−0.946463 | + | 0.322814i | \(0.895371\pi\) | |||||||
\(398\) | −472.805 | − | 2681.41i | −0.0595466 | − | 0.337706i | ||||
\(399\) | −1029.01 | − | 1782.30i | −0.129110 | − | 0.223625i | ||||
\(400\) | 1259.01 | − | 458.240i | 0.157376 | − | 0.0572801i | ||||
\(401\) | 12438.1 | 1.54895 | 0.774476 | − | 0.632603i | \(-0.218013\pi\) | ||||
0.774476 | + | 0.632603i | \(0.218013\pi\) | |||||||
\(402\) | −1344.48 | + | 489.350i | −0.166807 | + | 0.0607128i | ||||
\(403\) | 2299.14 | − | 13039.1i | 0.284189 | − | 1.61172i | ||||
\(404\) | −2862.89 | − | 2402.25i | −0.352559 | − | 0.295832i | ||||
\(405\) | −2411.94 | + | 2023.86i | −0.295927 | + | 0.248312i | ||||
\(406\) | −16629.6 | −2.03279 | ||||||||
\(407\) | −235.662 | − | 8134.79i | −0.0287010 | − | 0.990728i | ||||
\(408\) | −155.634 | −0.0188849 | ||||||||
\(409\) | 4086.00 | − | 3428.56i | 0.493985 | − | 0.414502i | −0.361467 | − | 0.932385i | \(-0.617724\pi\) |
0.855452 | + | 0.517883i | \(0.173280\pi\) | |||||||
\(410\) | −4386.37 | − | 3680.60i | −0.528359 | − | 0.443346i | ||||
\(411\) | −545.393 | + | 3093.08i | −0.0654556 | + | 0.371217i | ||||
\(412\) | 136.120 | − | 49.5438i | 0.0162771 | − | 0.00592439i | ||||
\(413\) | 10877.1 | 1.29595 | ||||||||
\(414\) | −5034.56 | + | 1832.43i | −0.597669 | + | 0.217534i | ||||
\(415\) | −1577.07 | − | 2731.56i | −0.186542 | − | 0.323101i | ||||
\(416\) | −350.349 | − | 1986.93i | −0.0412916 | − | 0.234176i | ||||
\(417\) | −1901.21 | + | 3293.00i | −0.223268 | + | 0.386712i | ||||
\(418\) | −1385.85 | − | 2400.36i | −0.162163 | − | 0.280874i | ||||
\(419\) | −1882.73 | + | 1579.80i | −0.219516 | + | 0.184196i | −0.745914 | − | 0.666043i | \(-0.767987\pi\) |
0.526397 | + | 0.850239i | \(0.323542\pi\) | |||||||
\(420\) | 239.588 | − | 1358.77i | 0.0278350 | − | 0.157860i | ||||
\(421\) | 2578.33 | − | 4465.81i | 0.298481 | − | 0.516984i | −0.677308 | − | 0.735700i | \(-0.736854\pi\) |
0.975789 | + | 0.218716i | \(0.0701869\pi\) | |||||||
\(422\) | −870.660 | − | 316.894i | −0.100434 | − | 0.0365549i | ||||
\(423\) | −2206.48 | − | 803.091i | −0.253623 | − | 0.0923112i | ||||
\(424\) | −297.589 | − | 1687.71i | −0.0340854 | − | 0.193308i | ||||
\(425\) | 712.857 | + | 598.158i | 0.0813616 | + | 0.0682705i | ||||
\(426\) | −1270.91 | − | 1066.42i | −0.144545 | − | 0.121287i | ||||
\(427\) | 3819.60 | + | 21662.0i | 0.432888 | + | 2.45503i | ||||
\(428\) | −3954.74 | − | 1439.41i | −0.446635 | − | 0.162562i | ||||
\(429\) | 3750.42 | + | 1365.04i | 0.422079 | + | 0.153624i | ||||
\(430\) | −2233.66 | + | 3868.81i | −0.250503 | + | 0.433885i | ||||
\(431\) | −810.375 | + | 4595.86i | −0.0905670 | + | 0.513631i | 0.905449 | + | 0.424455i | \(0.139534\pi\) |
−0.996016 | + | 0.0891757i | \(0.971577\pi\) | |||||||
\(432\) | 1092.90 | − | 917.053i | 0.121718 | − | 0.102134i | ||||
\(433\) | −6442.61 | − | 11158.9i | −0.715040 | − | 1.23849i | −0.962944 | − | 0.269701i | \(-0.913075\pi\) |
0.247904 | − | 0.968785i | \(-0.420258\pi\) | |||||||
\(434\) | 6441.48 | − | 11157.0i | 0.712445 | − | 1.23399i | ||||
\(435\) | 529.314 | + | 3001.89i | 0.0583417 | + | 0.330872i | ||||
\(436\) | −1321.94 | − | 2289.67i | −0.145205 | − | 0.251503i | ||||
\(437\) | 4030.70 | − | 1467.06i | 0.441224 | − | 0.160592i | ||||
\(438\) | 942.721 | 0.102842 | ||||||||
\(439\) | −4320.21 | + | 1572.43i | −0.469687 | + | 0.170952i | −0.566010 | − | 0.824398i | \(-0.691514\pi\) |
0.0963237 | + | 0.995350i | \(0.469292\pi\) | |||||||
\(440\) | 322.672 | − | 1829.97i | 0.0349609 | − | 0.198273i | ||||
\(441\) | −10962.9 | − | 9198.95i | −1.18377 | − | 0.993300i | ||||
\(442\) | 1073.48 | − | 900.752i | 0.115520 | − | 0.0969331i | ||||
\(443\) | −13471.0 | −1.44475 | −0.722377 | − | 0.691499i | \(-0.756951\pi\) | ||||
−0.722377 | + | 0.691499i | \(0.756951\pi\) | |||||||
\(444\) | −1543.46 | + | 318.494i | −0.164976 | + | 0.0340429i | ||||
\(445\) | 6205.70 | 0.661075 | ||||||||
\(446\) | −6310.47 | + | 5295.11i | −0.669976 | + | 0.562177i | ||||
\(447\) | −2242.94 | − | 1882.05i | −0.237332 | − | 0.199145i | ||||
\(448\) | 340.896 | − | 1933.32i | 0.0359505 | − | 0.203886i | ||||
\(449\) | −15847.5 | + | 5768.02i | −1.66568 | + | 0.606258i | −0.991240 | − | 0.132072i | \(-0.957837\pi\) |
−0.674440 | + | 0.738330i | \(0.735615\pi\) | |||||||
\(450\) | −4008.60 | −0.419927 | ||||||||
\(451\) | 15144.6 | − | 5512.17i | 1.58122 | − | 0.575517i | ||||
\(452\) | 1991.49 | + | 3449.36i | 0.207238 | + | 0.358948i | ||||
\(453\) | 970.070 | + | 5501.54i | 0.100613 | + | 0.570607i | ||||
\(454\) | 1591.43 | − | 2756.44i | 0.164515 | − | 0.284948i | ||||
\(455\) | 6211.54 | + | 10758.7i | 0.640003 | + | 1.10852i | ||||
\(456\) | −411.170 | + | 345.013i | −0.0422254 | + | 0.0354313i | ||||
\(457\) | 1579.32 | − | 8956.77i | 0.161658 | − | 0.916806i | −0.790786 | − | 0.612092i | \(-0.790328\pi\) |
0.952444 | − | 0.304714i | \(-0.0985608\pi\) | |||||||
\(458\) | 4558.36 | − | 7895.30i | 0.465061 | − | 0.805510i | ||||
\(459\) | 931.150 | + | 338.911i | 0.0946892 | + | 0.0344641i | ||||
\(460\) | 2702.26 | + | 983.541i | 0.273898 | + | 0.0996909i | ||||
\(461\) | −1963.40 | − | 11135.0i | −0.198361 | − | 1.12496i | −0.907550 | − | 0.419945i | \(-0.862050\pi\) |
0.709188 | − | 0.705019i | \(-0.249062\pi\) | |||||||
\(462\) | 2974.88 | + | 2496.22i | 0.299575 | + | 0.251374i | ||||
\(463\) | −437.711 | − | 367.283i | −0.0439356 | − | 0.0368663i | 0.620555 | − | 0.784163i | \(-0.286907\pi\) |
−0.664491 | + | 0.747296i | \(0.731352\pi\) | |||||||
\(464\) | 753.130 | + | 4271.21i | 0.0753517 | + | 0.427341i | ||||
\(465\) | −2219.03 | − | 807.659i | −0.221301 | − | 0.0805469i | ||||
\(466\) | −8216.64 | − | 2990.61i | −0.816799 | − | 0.297291i | ||||
\(467\) | 765.274 | − | 1325.49i | 0.0758301 | − | 0.131342i | −0.825617 | − | 0.564231i | \(-0.809173\pi\) |
0.901447 | + | 0.432890i | \(0.142506\pi\) | |||||||
\(468\) | −1048.22 | + | 5944.74i | −0.103534 | + | 0.587171i | ||||
\(469\) | 9602.34 | − | 8057.32i | 0.945404 | − | 0.793288i | ||||
\(470\) | 630.157 | + | 1091.46i | 0.0618446 | + | 0.107118i | ||||
\(471\) | 2343.46 | − | 4059.00i | 0.229259 | − | 0.397089i | ||||
\(472\) | −492.606 | − | 2793.71i | −0.0480382 | − | 0.272438i | ||||
\(473\) | −6286.89 | − | 10889.2i | −0.611145 | − | 1.05853i | ||||
\(474\) | −1282.93 | + | 466.948i | −0.124318 | + | 0.0452482i | ||||
\(475\) | 3209.31 | 0.310007 | ||||||||
\(476\) | 1281.28 | − | 466.349i | 0.123377 | − | 0.0449056i | ||||
\(477\) | −890.365 | + | 5049.51i | −0.0854655 | + | 0.484699i | ||||
\(478\) | 10430.1 | + | 8751.87i | 0.998034 | + | 0.837450i | ||||
\(479\) | −2186.16 | + | 1834.41i | −0.208535 | + | 0.174982i | −0.741073 | − | 0.671424i | \(-0.765683\pi\) |
0.532538 | + | 0.846406i | \(0.321238\pi\) | |||||||
\(480\) | −359.843 | −0.0342177 | ||||||||
\(481\) | 8802.58 | − | 11129.8i | 0.834435 | − | 1.05504i | ||||
\(482\) | −3487.02 | −0.329522 | ||||||||
\(483\) | −4603.82 | + | 3863.06i | −0.433708 | + | 0.363924i | ||||
\(484\) | −71.9186 | − | 60.3469i | −0.00675419 | − | 0.00566744i | ||||
\(485\) | 1098.49 | − | 6229.87i | 0.102845 | − | 0.583265i | ||||
\(486\) | −6137.31 | + | 2233.80i | −0.572828 | + | 0.208492i | ||||
\(487\) | −9600.34 | −0.893292 | −0.446646 | − | 0.894711i | \(-0.647382\pi\) | ||||
−0.446646 | + | 0.894711i | \(0.647382\pi\) | |||||||
\(488\) | 5390.77 | − | 1962.08i | 0.500059 | − | 0.182007i | ||||
\(489\) | −3550.84 | − | 6150.23i | −0.328373 | − | 0.568759i | ||||
\(490\) | 1333.85 | + | 7564.63i | 0.122974 | + | 0.697419i | ||||
\(491\) | −4431.50 | + | 7675.59i | −0.407314 | + | 0.705488i | −0.994588 | − | 0.103900i | \(-0.966868\pi\) |
0.587274 | + | 0.809388i | \(0.300201\pi\) | |||||||
\(492\) | −1560.50 | − | 2702.86i | −0.142993 | − | 0.247671i | ||||
\(493\) | −2307.60 | + | 1936.31i | −0.210810 | + | 0.176890i | ||||
\(494\) | 839.212 | − | 4759.41i | 0.0764331 | − | 0.433473i | ||||
\(495\) | −2779.79 | + | 4814.74i | −0.252409 | + | 0.437185i | ||||
\(496\) | −3157.32 | − | 1149.17i | −0.285823 | − | 0.104031i | ||||
\(497\) | 13658.5 | + | 4971.29i | 1.23273 | + | 0.448678i | ||||
\(498\) | −298.532 | − | 1693.06i | −0.0268625 | − | 0.152345i | ||||
\(499\) | 9865.86 | + | 8278.44i | 0.885083 | + | 0.742673i | 0.967218 | − | 0.253948i | \(-0.0817293\pi\) |
−0.0821346 | + | 0.996621i | \(0.526174\pi\) | |||||||
\(500\) | 4108.57 | + | 3447.50i | 0.367482 | + | 0.308354i | ||||
\(501\) | 962.956 | + | 5461.19i | 0.0858716 | + | 0.487002i | ||||
\(502\) | −98.3728 | − | 35.8048i | −0.00874620 | − | 0.00318336i | ||||
\(503\) | −4582.22 | − | 1667.79i | −0.406185 | − | 0.147839i | 0.130844 | − | 0.991403i | \(-0.458231\pi\) |
−0.537029 | + | 0.843564i | \(0.680453\pi\) | |||||||
\(504\) | −2936.79 | + | 5086.67i | −0.259554 | + | 0.449560i | ||||
\(505\) | 1042.16 | − | 5910.41i | 0.0918331 | − | 0.520812i | ||||
\(506\) | −6200.32 | + | 5202.69i | −0.544739 | + | 0.457090i | ||||
\(507\) | 1556.48 | + | 2695.91i | 0.136343 | + | 0.236153i | ||||
\(508\) | 1180.79 | − | 2045.19i | 0.103128 | − | 0.178623i | ||||
\(509\) | 406.134 | + | 2303.30i | 0.0353666 | + | 0.200574i | 0.997371 | − | 0.0724585i | \(-0.0230845\pi\) |
−0.962005 | + | 0.273032i | \(0.911973\pi\) | |||||||
\(510\) | −124.965 | − | 216.446i | −0.0108501 | − | 0.0187930i | ||||
\(511\) | −7761.11 | + | 2824.81i | −0.671881 | + | 0.244545i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 3211.32 | − | 1168.82i | 0.276380 | − | 0.100594i | ||||
\(514\) | 1655.70 | − | 9389.92i | 0.142081 | − | 0.805781i | ||||
\(515\) | 178.200 | + | 149.528i | 0.0152474 | + | 0.0127941i | ||||
\(516\) | −1865.27 | + | 1565.15i | −0.159135 | + | 0.133530i | ||||
\(517\) | −3547.30 | −0.301761 | ||||||||
\(518\) | 11752.4 | − | 7246.95i | 0.996858 | − | 0.614696i | ||||
\(519\) | −729.490 | −0.0616976 | ||||||||
\(520\) | 2482.00 | − | 2082.64i | 0.209313 | − | 0.175634i | ||||
\(521\) | 11502.5 | + | 9651.76i | 0.967244 | + | 0.811614i | 0.982116 | − | 0.188275i | \(-0.0602896\pi\) |
−0.0148720 | + | 0.999889i | \(0.504734\pi\) | |||||||
\(522\) | 2253.31 | − | 12779.2i | 0.188936 | − | 1.07151i | ||||
\(523\) | −13174.7 | + | 4795.20i | −1.10151 | + | 0.400917i | −0.827873 | − | 0.560916i | \(-0.810449\pi\) |
−0.273637 | + | 0.961833i | \(0.588227\pi\) | |||||||
\(524\) | 4200.26 | 0.350170 | ||||||||
\(525\) | −4225.39 | + | 1537.92i | −0.351259 | + | 0.127848i | ||||
\(526\) | 3410.67 | + | 5907.46i | 0.282723 | + | 0.489691i | ||||
\(527\) | −405.238 | − | 2298.22i | −0.0334961 | − | 0.189966i | ||||
\(528\) | 506.411 | − | 877.129i | 0.0417399 | − | 0.0722957i | ||||
\(529\) | −179.455 | − | 310.825i | −0.0147493 | − | 0.0255466i | ||||
\(530\) | 2108.23 | − | 1769.01i | 0.172784 | − | 0.144983i | ||||
\(531\) | −1473.84 | + | 8358.57i | −0.120451 | + | 0.683109i | ||||
\(532\) | 2351.22 | − | 4072.43i | 0.191613 | − | 0.331884i | ||||
\(533\) | 26406.6 | + | 9611.21i | 2.14596 | + | 0.781065i | ||||
\(534\) | 3178.47 | + | 1156.87i | 0.257576 | + | 0.0937502i | ||||
\(535\) | −1173.60 | − | 6655.79i | −0.0948392 | − | 0.537860i | ||||
\(536\) | −2504.35 | − | 2101.40i | −0.201812 | − | 0.169341i | ||||
\(537\) | 736.418 | + | 617.928i | 0.0591784 | + | 0.0496566i | ||||
\(538\) | 281.577 | + | 1596.90i | 0.0225644 | + | 0.127969i | ||||
\(539\) | −20316.2 | − | 7394.48i | −1.62352 | − | 0.590914i | ||||
\(540\) | 2152.92 | + | 783.600i | 0.171569 | + | 0.0624459i | ||||
\(541\) | 1658.35 | − | 2872.35i | 0.131789 | − | 0.228266i | −0.792577 | − | 0.609772i | \(-0.791261\pi\) |
0.924366 | + | 0.381506i | \(0.124594\pi\) | |||||||
\(542\) | −2448.97 | + | 13888.8i | −0.194081 | + | 1.10069i | ||||
\(543\) | −326.867 | + | 274.274i | −0.0258328 | + | 0.0216763i | ||||
\(544\) | −177.806 | − | 307.969i | −0.0140136 | − | 0.0242722i | ||||
\(545\) | 2122.89 | − | 3676.96i | 0.166853 | − | 0.288997i | ||||
\(546\) | 1175.82 | + | 6668.40i | 0.0921620 | + | 0.522676i | ||||
\(547\) | 5559.62 | + | 9629.54i | 0.434574 | + | 0.752704i | 0.997261 | − | 0.0739659i | \(-0.0235656\pi\) |
−0.562687 | + | 0.826670i | \(0.690232\pi\) | |||||||
\(548\) | −6743.70 | + | 2454.51i | −0.525687 | + | 0.191334i | ||||
\(549\) | −17163.9 | −1.33431 | ||||||||
\(550\) | −5690.67 | + | 2071.23i | −0.441184 | + | 0.160578i | ||||
\(551\) | −1804.02 | + | 10231.1i | −0.139480 | + | 0.791032i | ||||
\(552\) | 1200.70 | + | 1007.51i | 0.0925821 | + | 0.0776856i | ||||
\(553\) | 9162.75 | − | 7688.46i | 0.704593 | − | 0.591224i | ||||
\(554\) | 5575.92 | 0.427614 | ||||||||
\(555\) | −1682.25 | − | 1890.82i | −0.128663 | − | 0.144614i | ||||
\(556\) | −8688.28 | −0.662707 | ||||||||
\(557\) | 2325.64 | − | 1951.45i | 0.176913 | − | 0.148448i | −0.550031 | − | 0.835144i | \(-0.685384\pi\) |
0.726944 | + | 0.686696i | \(0.240940\pi\) | |||||||
\(558\) | 7700.84 | + | 6461.77i | 0.584234 | + | 0.490230i | ||||
\(559\) | 3807.08 | − | 21591.0i | 0.288054 | − | 1.63364i | ||||
\(560\) | 2962.47 | − | 1078.25i | 0.223549 | − | 0.0813650i | ||||
\(561\) | 703.460 | 0.0529414 | ||||||||
\(562\) | 1772.43 | − | 645.113i | 0.133035 | − | 0.0484207i | ||||
\(563\) | 5184.35 | + | 8979.57i | 0.388090 | + | 0.672191i | 0.992193 | − | 0.124715i | \(-0.0398017\pi\) |
−0.604103 | + | 0.796906i | \(0.706468\pi\) | |||||||
\(564\) | 119.286 | + | 676.505i | 0.00890577 | + | 0.0505071i | ||||
\(565\) | −3198.11 | + | 5539.30i | −0.238134 | + | 0.412460i | ||||
\(566\) | 550.629 | + | 953.717i | 0.0408916 | + | 0.0708263i | ||||
\(567\) | 11517.6 | − | 9664.44i | 0.853078 | − | 0.715817i | ||||
\(568\) | 658.272 | − | 3733.25i | 0.0486276 | − | 0.275781i | ||||
\(569\) | −7870.69 | + | 13632.4i | −0.579888 | + | 1.00440i | 0.415603 | + | 0.909546i | \(0.363571\pi\) |
−0.995492 | + | 0.0948502i | \(0.969763\pi\) | |||||||
\(570\) | −809.970 | − | 294.805i | −0.0595192 | − | 0.0216632i | ||||
\(571\) | −5552.33 | − | 2020.88i | −0.406931 | − | 0.148111i | 0.130441 | − | 0.991456i | \(-0.458361\pi\) |
−0.537372 | + | 0.843345i | \(0.680583\pi\) | |||||||
\(572\) | 1583.57 | + | 8980.87i | 0.115756 | + | 0.656484i | ||||
\(573\) | 524.013 | + | 439.699i | 0.0382041 | + | 0.0320570i | ||||
\(574\) | 20946.0 | + | 17575.8i | 1.52312 | + | 1.27805i | ||||
\(575\) | −1627.41 | − | 9229.49i | −0.118031 | − | 0.669385i | ||||
\(576\) | 1439.48 | + | 523.929i | 0.104129 | + | 0.0378999i | ||||
\(577\) | −10197.3 | − | 3711.52i | −0.735737 | − | 0.267786i | −0.0531457 | − | 0.998587i | \(-0.516925\pi\) |
−0.682591 | + | 0.730800i | \(0.739147\pi\) | |||||||
\(578\) | −4789.50 | + | 8295.66i | −0.344666 | + | 0.596979i | ||||
\(579\) | 436.928 | − | 2477.94i | 0.0313612 | − | 0.177858i | ||||
\(580\) | −5335.43 | + | 4476.96i | −0.381969 | + | 0.320510i | ||||
\(581\) | 7530.89 | + | 13043.9i | 0.537752 | + | 0.931413i | ||||
\(582\) | 1724.01 | − | 2986.06i | 0.122787 | − | 0.212674i | ||||
\(583\) | 1345.10 | + | 7628.42i | 0.0955543 | + | 0.541916i | ||||
\(584\) | 1077.03 | + | 1865.46i | 0.0763144 | + | 0.132180i | ||||
\(585\) | −9109.27 | + | 3315.50i | −0.643798 | + | 0.234323i | ||||
\(586\) | 14955.6 | 1.05428 | ||||||||
\(587\) | −25249.8 | + | 9190.19i | −1.77542 | + | 0.646201i | −0.775532 | + | 0.631308i | \(0.782518\pi\) |
−0.999889 | + | 0.0148928i | \(0.995259\pi\) | |||||||
\(588\) | −727.022 | + | 4123.15i | −0.0509896 | + | 0.289176i | ||||
\(589\) | −6165.35 | − | 5173.34i | −0.431305 | − | 0.361908i | ||||
\(590\) | 3489.79 | − | 2928.28i | 0.243513 | − | 0.204331i | ||||
\(591\) | −1945.93 | −0.135440 | ||||||||
\(592\) | −2393.58 | − | 2690.34i | −0.166175 | − | 0.186777i | ||||
\(593\) | −9298.24 | −0.643901 | −0.321950 | − | 0.946757i | \(-0.604338\pi\) | ||||
−0.321950 | + | 0.946757i | \(0.604338\pi\) | |||||||
\(594\) | −4939.88 | + | 4145.05i | −0.341222 | + | 0.286319i | ||||
\(595\) | 1677.37 | + | 1407.48i | 0.115572 | + | 0.0969766i | ||||
\(596\) | 1161.73 | − | 6588.52i | 0.0798431 | − | 0.452813i | ||||
\(597\) | 2239.52 | − | 815.118i | 0.153530 | − | 0.0558803i | ||||
\(598\) | −14112.9 | −0.965081 | ||||||||
\(599\) | 9123.80 | − | 3320.79i | 0.622351 | − | 0.226517i | −0.0115475 | − | 0.999933i | \(-0.503676\pi\) |
0.633899 | + | 0.773416i | \(0.281454\pi\) | |||||||
\(600\) | 586.366 | + | 1015.62i | 0.0398972 | + | 0.0691039i | ||||
\(601\) | 4280.93 | + | 24278.4i | 0.290554 | + | 1.64781i | 0.684745 | + | 0.728783i | \(0.259914\pi\) |
−0.394191 | + | 0.919028i | \(0.628975\pi\) | |||||||
\(602\) | 10666.3 | − | 18474.5i | 0.722134 | − | 1.25077i | ||||
\(603\) | 4890.59 | + | 8470.75i | 0.330282 | + | 0.572066i | ||||
\(604\) | −9778.22 | + | 8204.90i | −0.658725 | + | 0.552736i | ||||
\(605\) | 26.1802 | − | 148.475i | 0.00175930 | − | 0.00997750i | ||||
\(606\) | 1635.60 | − | 2832.94i | 0.109640 | − | 0.189902i | ||||
\(607\) | 17930.4 | + | 6526.13i | 1.19897 | + | 0.436388i | 0.862863 | − | 0.505438i | \(-0.168669\pi\) |
0.336102 | + | 0.941826i | \(0.390891\pi\) | |||||||
\(608\) | −1152.46 | − | 419.461i | −0.0768725 | − | 0.0279793i | ||||
\(609\) | −2527.61 | − | 14334.8i | −0.168184 | − | 0.953816i | ||||
\(610\) | 7057.24 | + | 5921.73i | 0.468425 | + | 0.393056i | ||||
\(611\) | −4738.14 | − | 3975.77i | −0.313723 | − | 0.263245i | ||||
\(612\) | 184.756 | + | 1047.80i | 0.0122031 | + | 0.0692073i | ||||
\(613\) | −12261.9 | − | 4462.96i | −0.807916 | − | 0.294057i | −0.0951532 | − | 0.995463i | \(-0.530334\pi\) |
−0.712763 | + | 0.701405i | \(0.752556\pi\) | |||||||
\(614\) | −8001.82 | − | 2912.43i | −0.525940 | − | 0.191427i | ||||
\(615\) | 2505.98 | − | 4340.49i | 0.164311 | − | 0.284594i | ||||
\(616\) | −1540.84 | + | 8738.55i | −0.100783 | + | 0.571569i | ||||
\(617\) | 6542.28 | − | 5489.63i | 0.426876 | − | 0.358191i | −0.403896 | − | 0.914805i | \(-0.632344\pi\) |
0.830771 | + | 0.556614i | \(0.187900\pi\) | |||||||
\(618\) | 63.3964 | + | 109.806i | 0.00412650 | + | 0.00714731i | ||||
\(619\) | 10288.3 | − | 17819.8i | 0.668048 | − | 1.15709i | −0.310402 | − | 0.950605i | \(-0.600464\pi\) |
0.978449 | − | 0.206487i | \(-0.0662031\pi\) | |||||||
\(620\) | −936.957 | − | 5313.75i | −0.0606921 | − | 0.344202i | ||||
\(621\) | −4989.78 | − | 8642.55i | −0.322436 | − | 0.558476i | ||||
\(622\) | 15088.2 | − | 5491.67i | 0.972642 | − | 0.354013i | ||||
\(623\) | −29633.8 | −1.90570 | ||||||||
\(624\) | 1659.49 | − | 604.004i | 0.106463 | − | 0.0387492i | ||||
\(625\) | 321.989 | − | 1826.09i | 0.0206073 | − | 0.116870i | ||||
\(626\) | −6958.96 | − | 5839.26i | −0.444307 | − | 0.372818i | ||||
\(627\) | 1858.48 | − | 1559.45i | 0.118374 | − | 0.0993275i | ||||
\(628\) | 10709.3 | 0.680490 | ||||||||
\(629\) | 787.007 | − | 2374.04i | 0.0498888 | − | 0.150492i | ||||
\(630\) | −9432.33 | −0.596497 | ||||||||
\(631\) | 21657.2 | − | 18172.6i | 1.36634 | − | 1.14650i | 0.392374 | − | 0.919806i | \(-0.371654\pi\) |
0.973967 | − | 0.226691i | \(-0.0727907\pi\) | |||||||
\(632\) | −2389.70 | − | 2005.20i | −0.150407 | − | 0.126206i | ||||
\(633\) | 140.828 | − | 798.677i | 0.00884269 | − | 0.0501494i | ||||
\(634\) | −8259.58 | + | 3006.24i | −0.517397 | + | 0.188317i | ||||
\(635\) | 3792.43 | 0.237005 | ||||||||
\(636\) | 1409.58 | − | 513.046i | 0.0878829 | − | 0.0319868i | ||||
\(637\) | −18848.7 | − | 32646.9i | −1.17239 | − | 2.03064i | ||||
\(638\) | −3404.13 | − | 19305.8i | −0.211239 | − | 1.19800i | ||||
\(639\) | −5670.95 | + | 9822.38i | −0.351079 | + | 0.608086i | ||||
\(640\) | −411.108 | − | 712.060i | −0.0253914 | − | 0.0439791i | ||||
\(641\) | 13333.8 | − | 11188.4i | 0.821614 | − | 0.689416i | −0.131735 | − | 0.991285i | \(-0.542055\pi\) |
0.953349 | + | 0.301869i | \(0.0976105\pi\) | |||||||
\(642\) | 639.675 | − | 3627.78i | 0.0393239 | − | 0.223017i | ||||
\(643\) | 1568.42 | − | 2716.58i | 0.0961934 | − | 0.166612i | −0.813913 | − | 0.580987i | \(-0.802667\pi\) |
0.910106 | + | 0.414375i | \(0.136000\pi\) | |||||||
\(644\) | −12904.0 | − | 4696.65i | −0.789576 | − | 0.287382i | ||||
\(645\) | −3674.42 | − | 1337.38i | −0.224311 | − | 0.0816423i | ||||
\(646\) | −147.917 | − | 838.878i | −0.00900884 | − | 0.0510916i | ||||
\(647\) | −6898.89 | − | 5788.85i | −0.419201 | − | 0.351752i | 0.408658 | − | 0.912688i | \(-0.365997\pi\) |
−0.827859 | + | 0.560936i | \(0.810441\pi\) | |||||||
\(648\) | −3003.87 | − | 2520.54i | −0.182104 | − | 0.152803i | ||||
\(649\) | 2226.57 | + | 12627.5i | 0.134669 | + | 0.763747i | ||||
\(650\) | −9922.45 | − | 3611.47i | −0.598754 | − | 0.217929i | ||||
\(651\) | 10596.4 | + | 3856.78i | 0.637951 | + | 0.232195i | ||||
\(652\) | 8113.42 | − | 14052.9i | 0.487340 | − | 0.844098i | ||||
\(653\) | −4934.11 | + | 27982.7i | −0.295692 | + | 1.67695i | 0.368686 | + | 0.929554i | \(0.379808\pi\) |
−0.664377 | + | 0.747397i | \(0.731303\pi\) | |||||||
\(654\) | 1772.77 | − | 1487.53i | 0.105995 | − | 0.0889406i | ||||
\(655\) | 3372.58 | + | 5841.48i | 0.201187 | + | 0.348466i | ||||
\(656\) | 3565.62 | − | 6175.84i | 0.212217 | − | 0.367570i | ||||
\(657\) | −1119.12 | − | 6346.85i | −0.0664552 | − | 0.376886i | ||||
\(658\) | −3009.16 | − | 5212.01i | −0.178281 | − | 0.308793i | ||||
\(659\) | −2230.82 | + | 811.954i | −0.131867 | + | 0.0479958i | −0.407111 | − | 0.913379i | \(-0.633464\pi\) |
0.275244 | + | 0.961375i | \(0.411242\pi\) | |||||||
\(660\) | 1626.48 | 0.0959252 | ||||||||
\(661\) | 21000.0 | − | 7643.38i | 1.23571 | − | 0.449762i | 0.360162 | − | 0.932890i | \(-0.382721\pi\) |
0.875550 | + | 0.483127i | \(0.160499\pi\) | |||||||
\(662\) | −3626.57 | + | 20567.3i | −0.212916 | + | 1.20751i | ||||
\(663\) | 939.613 | + | 788.429i | 0.0550400 | + | 0.0461841i | ||||
\(664\) | 3009.18 | − | 2525.00i | 0.175872 | − | 0.147574i | ||||
\(665\) | 7551.59 | 0.440358 | ||||||||
\(666\) | 3976.52 | + | 10013.2i | 0.231362 | + | 0.582589i | ||||
\(667\) | 30337.8 | 1.76115 | ||||||||
\(668\) | −9706.51 | + | 8144.73i | −0.562210 | + | 0.471750i | ||||
\(669\) | −5523.56 | − | 4634.82i | −0.319212 | − | 0.267851i | ||||
\(670\) | 911.647 | − | 5170.21i | 0.0525672 | − | 0.298123i | ||||
\(671\) | −24366.1 | + | 8868.55i | −1.40185 | + | 0.510233i | ||||
\(672\) | 1718.34 | 0.0986405 | ||||||||
\(673\) | −8156.02 | + | 2968.55i | −0.467149 | + | 0.170028i | −0.564861 | − | 0.825186i | \(-0.691070\pi\) |
0.0977113 | + | 0.995215i | \(0.468848\pi\) | |||||||
\(674\) | −2235.88 | − | 3872.65i | −0.127779 | − | 0.221319i | ||||
\(675\) | −1296.58 | − | 7353.26i | −0.0739338 | − | 0.419300i | ||||
\(676\) | −3556.46 | + | 6159.97i | −0.202347 | + | 0.350476i | ||||
\(677\) | −12205.3 | − | 21140.3i | −0.692894 | − | 1.20013i | −0.970886 | − | 0.239544i | \(-0.923002\pi\) |
0.277992 | − | 0.960583i | \(-0.410331\pi\) | |||||||
\(678\) | −2670.66 | + | 2240.95i | −0.151278 | + | 0.126937i | ||||
\(679\) | −5245.59 | + | 29749.2i | −0.296476 | + | 1.68140i | ||||
\(680\) | 285.537 | − | 494.565i | 0.0161027 | − | 0.0278907i | ||||
\(681\) | 2617.95 | + | 952.856i | 0.147313 | + | 0.0536175i | ||||
\(682\) | 14271.0 | + | 5194.23i | 0.801269 | + | 0.291638i | ||||
\(683\) | −3686.65 | − | 20908.0i | −0.206539 | − | 1.17134i | −0.895000 | − | 0.446066i | \(-0.852825\pi\) |
0.688462 | − | 0.725273i | \(-0.258286\pi\) | |||||||
\(684\) | 2810.90 | + | 2358.62i | 0.157131 | + | 0.131848i | ||||
\(685\) | −8828.40 | − | 7407.91i | −0.492432 | − | 0.413200i | ||||
\(686\) | −2715.48 | − | 15400.2i | −0.151133 | − | 0.857120i | ||||
\(687\) | 7498.62 | + | 2729.27i | 0.416434 | + | 0.151570i | ||||
\(688\) | −5228.13 | − | 1902.88i | −0.289710 | − | 0.105446i | ||||
\(689\) | −6753.18 | + | 11696.9i | −0.373405 | + | 0.646756i | ||||
\(690\) | −437.087 | + | 2478.84i | −0.0241154 | + | 0.136765i | ||||
\(691\) | 13928.6 | − | 11687.5i | 0.766815 | − | 0.643434i | −0.173076 | − | 0.984908i | \(-0.555371\pi\) |
0.939891 | + | 0.341475i | \(0.110926\pi\) | |||||||
\(692\) | −833.417 | − | 1443.52i | −0.0457829 | − | 0.0792983i | ||||
\(693\) | 13274.2 | − | 22991.6i | 0.727627 | − | 1.26029i | ||||
\(694\) | 1313.47 | + | 7449.06i | 0.0718424 | + | 0.407439i | ||||
\(695\) | −6976.21 | − | 12083.2i | −0.380752 | − | 0.659482i | ||||
\(696\) | −3567.33 | + | 1298.40i | −0.194280 | + | 0.0707123i | ||||
\(697\) | 4953.04 | 0.269168 | ||||||||
\(698\) | 20888.1 | − | 7602.66i | 1.13270 | − | 0.412271i | ||||
\(699\) | 1329.03 | − | 7537.32i | 0.0719151 | − | 0.407851i | ||||
\(700\) | −7870.60 | − | 6604.22i | −0.424973 | − | 0.356594i | ||||
\(701\) | −11558.7 | + | 9698.92i | −0.622777 | + | 0.522572i | −0.898675 | − | 0.438615i | \(-0.855469\pi\) |
0.275898 | + | 0.961187i | \(0.411025\pi\) | |||||||
\(702\) | −11243.9 | −0.604522 | ||||||||
\(703\) | −3183.63 | − | 8016.65i | −0.170801 | − | 0.430091i | ||||
\(704\) | 2314.23 | 0.123893 | ||||||||
\(705\) | −845.064 | + | 709.093i | −0.0451446 | + | 0.0378808i | ||||
\(706\) | −13412.2 | − | 11254.2i | −0.714978 | − | 0.599938i | ||||
\(707\) | −4976.60 | + | 28223.7i | −0.264730 | + | 1.50136i | ||||
\(708\) | 2333.31 | − | 849.256i | 0.123858 | − | 0.0450805i | ||||
\(709\) | 20171.3 | 1.06848 | 0.534238 | − | 0.845334i | \(-0.320599\pi\) | ||||
0.534238 | + | 0.845334i | \(0.320599\pi\) | |||||||
\(710\) | 5720.54 | − | 2082.11i | 0.302378 | − | 0.110056i | ||||
\(711\) | 4666.71 | + | 8082.97i | 0.246153 | + | 0.426350i | ||||
\(712\) | 1342.07 | + | 7611.26i | 0.0706408 | + | 0.400624i | ||||
\(713\) | −11751.4 | + | 20354.0i | −0.617240 | + | 1.06909i | ||||
\(714\) | 596.742 | + | 1033.59i | 0.0312780 | + | 0.0541751i | ||||
\(715\) | −11218.5 | + | 9413.48i | −0.586783 | + | 0.492370i | ||||
\(716\) | −381.429 | + | 2163.19i | −0.0199088 | + | 0.112908i | ||||
\(717\) | −5958.82 | + | 10321.0i | −0.310371 | + | 0.537579i | ||||
\(718\) | −22203.6 | − | 8081.45i | −1.15408 | − | 0.420052i | ||||
\(719\) | −19103.5 | − | 6953.12i | −0.990878 | − | 0.360650i | −0.204818 | − | 0.978800i | \(-0.565660\pi\) |
−0.786060 | + | 0.618150i | \(0.787882\pi\) | |||||||
\(720\) | 427.176 | + | 2422.64i | 0.0221110 | + | 0.125398i | ||||
\(721\) | −850.950 | − | 714.032i | −0.0439543 | − | 0.0368820i | ||||
\(722\) | 8258.17 | + | 6929.43i | 0.425675 | + | 0.357184i | ||||
\(723\) | −530.008 | − | 3005.82i | −0.0272631 | − | 0.154617i | ||||
\(724\) | −916.170 | − | 333.459i | −0.0470293 | − | 0.0171173i | ||||
\(725\) | 21329.8 | + | 7763.43i | 1.09265 | + | 0.397692i | ||||
\(726\) | 41.0879 | − | 71.1664i | 0.00210044 | − | 0.00363806i | ||||
\(727\) | 2228.29 | − | 12637.3i | 0.113676 | − | 0.644691i | −0.873721 | − | 0.486428i | \(-0.838300\pi\) |
0.987397 | − | 0.158263i | \(-0.0505893\pi\) | |||||||
\(728\) | −11852.2 | + | 9945.14i | −0.603393 | + | 0.506307i | ||||
\(729\) | 3758.77 | + | 6510.38i | 0.190965 | + | 0.330761i | ||||
\(730\) | −1729.58 | + | 2995.73i | −0.0876915 | + | 0.151886i | ||||
\(731\) | −671.023 | − | 3805.56i | −0.0339517 | − | 0.192550i | ||||
\(732\) | 2510.69 | + | 4348.64i | 0.126773 | + | 0.219577i | ||||
\(733\) | 17803.4 | − | 6479.92i | 0.897114 | − | 0.326523i | 0.148018 | − | 0.988985i | \(-0.452711\pi\) |
0.749096 | + | 0.662462i | \(0.230488\pi\) | |||||||
\(734\) | 20863.3 | 1.04916 | ||||||||
\(735\) | −6317.99 | + | 2299.56i | −0.317065 | + | 0.115402i | ||||
\(736\) | −621.906 | + | 3527.01i | −0.0311464 | + | 0.176640i | ||||
\(737\) | 11319.6 | + | 9498.25i | 0.565756 | + | 0.474726i | ||||
\(738\) | −16344.4 | + | 13714.6i | −0.815240 | + | 0.684067i | ||||
\(739\) | 23856.0 | 1.18749 | 0.593747 | − | 0.804652i | \(-0.297648\pi\) | ||||
0.593747 | + | 0.804652i | \(0.297648\pi\) | |||||||
\(740\) | 1819.65 | − | 5489.05i | 0.0903941 | − | 0.272678i | ||||
\(741\) | 4230.18 | 0.209716 | ||||||||
\(742\) | −10067.3 | + | 8447.48i | −0.498090 | + | 0.417947i | ||||
\(743\) | 22875.8 | + | 19195.1i | 1.12952 | + | 0.947779i | 0.999046 | − | 0.0436727i | \(-0.0139059\pi\) |
0.130473 | + | 0.991452i | \(0.458350\pi\) | |||||||
\(744\) | 510.694 | − | 2896.29i | 0.0251653 | − | 0.142719i | ||||
\(745\) | 10095.7 | − | 3674.55i | 0.496483 | − | 0.180705i | ||||
\(746\) | 316.376 | 0.0155273 | ||||||||
\(747\) | −11044.1 | + | 4019.72i | −0.540940 | + | 0.196886i | ||||
\(748\) | 803.679 | + | 1392.01i | 0.0392853 | + | 0.0680442i | ||||
\(749\) | 5604.21 | + | 31783.1i | 0.273396 | + | 1.55051i | ||||
\(750\) | −2347.28 | + | 4065.60i | −0.114281 | + | 0.197940i | ||||
\(751\) | 13684.5 | + | 23702.3i | 0.664919 | + | 1.15167i | 0.979307 | + | 0.202380i | \(0.0648675\pi\) |
−0.314388 | + | 0.949295i | \(0.601799\pi\) | |||||||
\(752\) | −1202.39 | + | 1008.93i | −0.0583069 | + | 0.0489253i | ||||
\(753\) | 15.9117 | − | 90.2397i | 0.000770059 | − | 0.00436722i | ||||
\(754\) | 17090.7 | − | 29602.0i | 0.825475 | − | 1.42976i | ||||
\(755\) | −19262.3 | − | 7010.89i | −0.928511 | − | 0.337950i | ||||
\(756\) | −10280.8 | − | 3741.89i | −0.494586 | − | 0.180015i | ||||
\(757\) | 5211.38 | + | 29555.2i | 0.250212 | + | 1.41902i | 0.808069 | + | 0.589088i | \(0.200513\pi\) |
−0.557857 | + | 0.829937i | \(0.688376\pi\) | |||||||
\(758\) | −13570.3 | − | 11386.9i | −0.650260 | − | 0.545633i | ||||
\(759\) | −5427.14 | − | 4553.92i | −0.259543 | − | 0.217782i | ||||
\(760\) | −342.000 | − | 1939.58i | −0.0163232 | − | 0.0925736i | ||||
\(761\) | 13026.2 | + | 4741.15i | 0.620499 | + | 0.225843i | 0.633091 | − | 0.774078i | \(-0.281786\pi\) |
−0.0125919 | + | 0.999921i | \(0.504008\pi\) | |||||||
\(762\) | 1942.43 | + | 706.986i | 0.0923448 | + | 0.0336108i | ||||
\(763\) | −10137.4 | + | 17558.4i | −0.480992 | + | 0.833102i | ||||
\(764\) | −271.413 | + | 1539.26i | −0.0128526 | + | 0.0728907i | ||||
\(765\) | −1308.87 | + | 1098.27i | −0.0618593 | + | 0.0519061i | ||||
\(766\) | 3951.36 | + | 6843.96i | 0.186382 | + | 0.322823i | ||||
\(767\) | −11178.7 | + | 19362.1i | −0.526257 | + | 0.911504i | ||||
\(768\) | −77.8211 | − | 441.345i | −0.00365641 | − | 0.0207366i | ||||
\(769\) | 4097.19 | + | 7096.54i | 0.192130 | + | 0.332780i | 0.945956 | − | 0.324295i | \(-0.105127\pi\) |
−0.753826 | + | 0.657075i | \(0.771794\pi\) | |||||||
\(770\) | −13390.3 | + | 4873.66i | −0.626691 | + | 0.228097i | ||||
\(771\) | 8345.79 | 0.389839 | ||||||||
\(772\) | 5402.55 | − | 1966.37i | 0.251868 | − | 0.0916724i | ||||
\(773\) | 4027.62 | − | 22841.8i | 0.187404 | − | 1.06282i | −0.735423 | − | 0.677609i | \(-0.763016\pi\) |
0.922827 | − | 0.385214i | \(-0.125873\pi\) | |||||||
\(774\) | 12751.6 | + | 10699.9i | 0.592180 | + | 0.496898i | ||||
\(775\) | −13470.7 | + | 11303.2i | −0.624362 | + | 0.523902i | ||||
\(776\) | 7878.46 | 0.364459 | ||||||||
\(777\) | 8033.19 | + | 9029.14i | 0.370900 | + | 0.416884i | ||||
\(778\) | −18896.4 | −0.870781 | ||||||||
\(779\) | 13085.5 | − | 10980.0i | 0.601843 | − | 0.505007i | ||||
\(780\) | 2172.49 | + | 1822.94i | 0.0997278 | + | 0.0836815i | ||||
\(781\) | −2975.37 | + | 16874.2i | −0.136322 | + | 0.773118i | ||||
\(782\) | −2337.48 | + | 850.772i | −0.106890 | + | 0.0389048i | ||||
\(783\) | 24170.6 | 1.10317 | ||||||||
\(784\) | −8989.51 | + | 3271.91i | −0.409508 | + | 0.149049i | ||||
\(785\) | 8598.99 | + | 14893.9i | 0.390969 | + | 0.677179i | ||||
\(786\) | 638.416 | + | 3620.64i | 0.0289714 | + | 0.164305i | ||||
\(787\) | −318.630 | + | 551.883i | −0.0144319 | + | 0.0249968i | −0.873151 | − | 0.487450i | \(-0.837927\pi\) |
0.858719 | + | 0.512446i | \(0.171261\pi\) | |||||||
\(788\) | −2223.16 | − | 3850.63i | −0.100504 | − | 0.174077i | ||||
\(789\) | −4573.84 | + | 3837.91i | −0.206379 | + | 0.173173i | ||||
\(790\) | 869.913 | − | 4933.52i | 0.0391774 | − | 0.222186i | ||||
\(791\) | 15271.8 | − | 26451.5i | 0.686476 | − | 1.18901i | ||||
\(792\) | −6506.42 | − | 2368.14i | −0.291914 | − | 0.106248i | ||||
\(793\) | −42485.6 | − | 15463.5i | −1.90253 | − | 0.692466i | ||||
\(794\) | −4136.12 | − | 23457.1i | −0.184868 | − | 1.04844i | ||||
\(795\) | 1845.33 | + | 1548.42i | 0.0823235 | + | 0.0690776i | ||||
\(796\) | 4171.53 | + | 3500.33i | 0.185749 | + | 0.155862i | ||||
\(797\) | −1426.64 | − | 8090.86i | −0.0634054 | − | 0.359590i | −0.999959 | − | 0.00906517i | \(-0.997114\pi\) |
0.936554 | − | 0.350525i | \(-0.113997\pi\) | |||||||
\(798\) | 3867.81 | + | 1407.77i | 0.171578 | + | 0.0624492i | ||||
\(799\) | −1024.44 | − | 372.865i | −0.0453592 | − | 0.0165094i | ||||
\(800\) | −1339.81 | + | 2320.61i | −0.0592116 | + | 0.102558i | ||||
\(801\) | 4015.37 | − | 22772.3i | 0.177124 | − | 1.00452i | ||||
\(802\) | −19056.3 | + | 15990.1i | −0.839029 | + | 0.704029i | ||||
\(803\) | −4868.12 | − | 8431.84i | −0.213938 | − | 0.370552i | ||||
\(804\) | 1430.76 | − | 2478.15i | 0.0627601 | − | 0.108704i | ||||
\(805\) | −3829.33 | − | 21717.2i | −0.167660 | − | 0.950847i | ||||
\(806\) | 13240.2 | + | 22932.7i | 0.578618 | + | 1.00220i | ||||
\(807\) | −1333.74 | + | 485.440i | −0.0581781 | + | 0.0211751i | ||||
\(808\) | 7474.47 | 0.325434 | ||||||||
\(809\) | −12939.2 | + | 4709.50i | −0.562324 | + | 0.204669i | −0.607513 | − | 0.794309i | \(-0.707833\pi\) |
0.0451899 | + | 0.998978i | \(0.485611\pi\) | |||||||
\(810\) | 1093.49 | − | 6201.47i | 0.0474335 | − | 0.269009i | ||||
\(811\) | −5051.79 | − | 4238.95i | −0.218733 | − | 0.183539i | 0.526837 | − | 0.849967i | \(-0.323378\pi\) |
−0.745569 | + | 0.666428i | \(0.767822\pi\) | |||||||
\(812\) | 25478.0 | − | 21378.6i | 1.10111 | − | 0.923944i | ||||
\(813\) | −12344.4 | −0.532517 | ||||||||
\(814\) | 10818.9 | + | 12160.3i | 0.465852 | + | 0.523608i | ||||
\(815\) | 26058.5 | 1.11999 | ||||||||
\(816\) | 238.445 | − | 200.079i | 0.0102295 | − | 0.00858354i | ||||
\(817\) | −10209.0 | − | 8566.40i | −0.437171 | − | 0.366830i | ||||
\(818\) | −1852.44 | + | 10505.7i | −0.0791799 | + | 0.449051i | ||||
\(819\) | 43499.1 | − | 15832.4i | 1.85590 | − | 0.675491i | ||||
\(820\) | 11452.0 | 0.487709 | ||||||||
\(821\) | 18310.0 | − | 6664.29i | 0.778348 | − | 0.283295i | 0.0778641 | − | 0.996964i | \(-0.475190\pi\) |
0.700483 | + | 0.713669i | \(0.252968\pi\) | |||||||
\(822\) | −3140.79 | − | 5440.01i | −0.133270 | − | 0.230830i | ||||
\(823\) | −5815.88 | − | 32983.5i | −0.246329 | − | 1.39700i | −0.817386 | − | 0.576091i | \(-0.804577\pi\) |
0.571057 | − | 0.820911i | \(-0.306534\pi\) | |||||||
\(824\) | −144.856 | + | 250.899i | −0.00612416 | + | 0.0106074i | ||||
\(825\) | −2650.36 | − | 4590.56i | −0.111847 | − | 0.193724i | ||||
\(826\) | −16664.6 | + | 13983.3i | −0.701982 | + | 0.589033i | ||||
\(827\) | 855.001 | − | 4848.95i | 0.0359508 | − | 0.203887i | −0.961542 | − | 0.274659i | \(-0.911435\pi\) |
0.997493 | + | 0.0707718i | \(0.0225462\pi\) | |||||||
\(828\) | 5357.66 | − | 9279.74i | 0.224869 | − | 0.389485i | ||||
\(829\) | −22263.8 | − | 8103.35i | −0.932754 | − | 0.339495i | −0.169453 | − | 0.985538i | \(-0.554200\pi\) |
−0.763301 | + | 0.646043i | \(0.776422\pi\) | |||||||
\(830\) | 5927.83 | + | 2157.55i | 0.247901 | + | 0.0902286i | ||||
\(831\) | 847.509 | + | 4806.46i | 0.0353788 | + | 0.200643i | ||||
\(832\) | 3091.11 | + | 2593.75i | 0.128804 | + | 0.108080i | ||||
\(833\) | −5089.92 | − | 4270.95i | −0.211711 | − | 0.177647i | ||||
\(834\) | −1320.57 | − | 7489.32i | −0.0548292 | − | 0.310952i | ||||
\(835\) | −19121.0 | − | 6959.48i | −0.792467 | − | 0.288434i | ||||
\(836\) | 5209.09 | + | 1895.95i | 0.215503 | + | 0.0784365i | ||||
\(837\) | −9362.47 | + | 16216.3i | −0.386636 | + | 0.669673i | ||||
\(838\) | 853.560 | − | 4840.78i | 0.0351858 | − | 0.199549i | ||||
\(839\) | 10438.8 | − | 8759.23i | 0.429546 | − | 0.360432i | −0.402235 | − | 0.915537i | \(-0.631766\pi\) |
0.831780 | + | 0.555105i | \(0.187322\pi\) | |||||||
\(840\) | 1379.73 | + | 2389.77i | 0.0566730 | + | 0.0981606i | ||||
\(841\) | −24544.7 | + | 42512.7i | −1.00638 | + | 1.74311i | ||||
\(842\) | 1790.89 | + | 10156.7i | 0.0732995 | + | 0.415702i | ||||
\(843\) | 825.489 | + | 1429.79i | 0.0337264 | + | 0.0584158i | ||||
\(844\) | 1741.32 | − | 633.788i | 0.0710174 | − | 0.0258482i | ||||
\(845\) | −11422.6 | −0.465028 | ||||||||
\(846\) | 4412.95 | − | 1606.18i | 0.179339 | − | 0.0652739i | ||||
\(847\) | −125.017 | + | 709.008i | −0.00507160 | + | 0.0287625i | ||||
\(848\) | 2625.62 | + | 2203.15i | 0.106326 | + | 0.0892177i | ||||
\(849\) | −738.414 | + | 619.603i | −0.0298496 | + | 0.0250468i | ||||
\(850\) | −1861.14 | −0.0751018 | ||||||||
\(851\) | −21440.3 | + | 13220.8i | −0.863647 | + | 0.532553i | ||||
\(852\) | 3318.12 | 0.133424 | ||||||||
\(853\) | −6219.41 | + | 5218.70i | −0.249646 | + | 0.209478i | −0.759020 | − | 0.651067i | \(-0.774322\pi\) |
0.509374 | + | 0.860545i | \(0.329877\pi\) | |||||||
\(854\) | −33700.1 | − | 28277.8i | −1.35035 | − | 1.13307i | ||||
\(855\) | −1023.24 | + | 5803.08i | −0.0409287 | + | 0.232118i | ||||
\(856\) | 7909.48 | − | 2878.82i | 0.315818 | − | 0.114948i | ||||
\(857\) | −13247.3 | −0.528027 | −0.264014 | − | 0.964519i | \(-0.585046\pi\) | ||||
−0.264014 | + | 0.964519i | \(0.585046\pi\) | |||||||
\(858\) | −7500.84 | + | 2730.08i | −0.298455 | + | 0.108629i | ||||
\(859\) | −18765.5 | − | 32502.9i | −0.745369 | − | 1.29102i | −0.950022 | − | 0.312183i | \(-0.898940\pi\) |
0.204653 | − | 0.978835i | \(-0.434393\pi\) | |||||||
\(860\) | −1551.48 | − | 8798.89i | −0.0615175 | − | 0.348883i | ||||
\(861\) | −11966.7 | + | 20726.9i | −0.473664 | + | 0.820409i | ||||
\(862\) | −4666.76 | − | 8083.07i | −0.184397 | − | 0.319386i | ||||
\(863\) | 25235.8 | − | 21175.3i | 0.995406 | − | 0.835245i | 0.00906480 | − | 0.999959i | \(-0.497115\pi\) |
0.986341 | + | 0.164714i | \(0.0526701\pi\) | |||||||
\(864\) | −495.481 | + | 2810.01i | −0.0195100 | + | 0.110646i | ||||
\(865\) | 1338.38 | − | 2318.14i | 0.0526083 | − | 0.0911202i | ||||
\(866\) | 24216.3 | + | 8814.02i | 0.950235 | + | 0.345857i | ||||
\(867\) | −7878.86 | − | 2867.67i | −0.308628 | − | 0.112331i | ||||
\(868\) | 4474.21 | + | 25374.5i | 0.174959 | + | 0.992242i | ||||
\(869\) | 10801.4 | + | 9063.44i | 0.421648 | + | 0.353804i | ||||
\(870\) | −4670.11 | − | 3918.69i | −0.181990 | − | 0.152708i | ||||
\(871\) | 4474.06 | + | 25373.7i | 0.174050 | + | 0.987088i | ||||
\(872\) | 4968.87 | + | 1808.52i | 0.192967 | + | 0.0702343i | ||||
\(873\) | −22150.2 | − | 8062.02i | −0.858730 | − | 0.312552i | ||||
\(874\) | −4289.38 | + | 7429.43i | −0.166008 | + | 0.287534i | ||||
\(875\) | 7142.00 | − | 40504.3i | 0.275935 | − | 1.56491i | ||||
\(876\) | −1444.33 | + | 1211.94i | −0.0557071 | + | 0.0467438i | ||||
\(877\) | −5510.12 | − | 9543.80i | −0.212159 | − | 0.367470i | 0.740231 | − | 0.672353i | \(-0.234716\pi\) |
−0.952390 | + | 0.304882i | \(0.901383\pi\) | |||||||
\(878\) | 4597.47 | − | 7963.06i | 0.176717 | − | 0.306082i | ||||
\(879\) | 2273.16 | + | 12891.8i | 0.0872263 | + | 0.494685i | ||||
\(880\) | 1858.20 | + | 3218.49i | 0.0711816 | + | 0.123290i | ||||
\(881\) | 24680.7 | − | 8983.02i | 0.943828 | − | 0.343525i | 0.176152 | − | 0.984363i | \(-0.443635\pi\) |
0.767676 | + | 0.640838i | \(0.221413\pi\) | |||||||
\(882\) | 28622.1 | 1.09269 | ||||||||
\(883\) | 12921.6 | − | 4703.07i | 0.492464 | − | 0.179242i | −0.0838376 | − | 0.996479i | \(-0.526718\pi\) |
0.576301 | + | 0.817237i | \(0.304495\pi\) | |||||||
\(884\) | −486.674 | + | 2760.07i | −0.0185165 | + | 0.105013i | ||||
\(885\) | 3054.62 | + | 2563.13i | 0.116022 | + | 0.0973543i | ||||
\(886\) | 20638.8 | − | 17318.0i | 0.782588 | − | 0.656669i | ||||
\(887\) | 12605.9 | 0.477187 | 0.238593 | − | 0.971120i | \(-0.423314\pi\) | ||||
0.238593 | + | 0.971120i | \(0.423314\pi\) | |||||||
\(888\) | 1955.27 | − | 2472.19i | 0.0738902 | − | 0.0934249i | ||||
\(889\) | −18109.8 | −0.683222 | ||||||||
\(890\) | −9507.69 | + | 7977.90i | −0.358088 | + | 0.300472i | ||||
\(891\) | 13577.4 | + | 11392.8i | 0.510505 | + | 0.428365i | ||||
\(892\) | 2860.94 | − | 16225.2i | 0.107389 | − | 0.609035i | ||||
\(893\) | −3533.04 | + | 1285.92i | −0.132395 | + | 0.0481878i | ||||
\(894\) | 5855.90 | 0.219072 | ||||||||
\(895\) | −3314.71 | + | 1206.45i | −0.123797 | + | 0.0450585i | ||||
\(896\) | 1963.14 | + | 3400.27i | 0.0731965 | + | 0.126780i | ||||
\(897\) | −2145.08 | − | 12165.3i | −0.0798462 | − | 0.452830i | ||||
\(898\) | 16864.6 | − | 29210.3i | 0.626701 | − | 1.08548i | ||||
\(899\) | −28461.9 | − | 49297.4i | −1.05590 | − | 1.82888i | ||||
\(900\) | 6141.53 | − | 5153.35i | 0.227464 | − | 0.190865i | ||||
\(901\) | −413.385 | + | 2344.42i | −0.0152851 | + | 0.0866859i | ||||
\(902\) | −16116.5 | + | 27914.6i | −0.594924 | + | 1.03044i | ||||
\(903\) | 17546.3 | + | 6386.33i | 0.646627 | + | 0.235353i | ||||
\(904\) | −7485.55 | − | 2724.52i | −0.275405 | − | 0.100239i | ||||
\(905\) | −271.880 | − | 1541.91i | −0.00998628 | − | 0.0566350i | ||||
\(906\) | −8558.88 | − | 7181.75i | −0.313852 | − | 0.263353i | ||||
\(907\) | 462.475 | + | 388.062i | 0.0169308 | + | 0.0142066i | 0.651214 | − | 0.758894i | \(-0.274260\pi\) |
−0.634283 | + | 0.773101i | \(0.718705\pi\) | |||||||
\(908\) | 1105.40 | + | 6269.02i | 0.0404008 | + | 0.229124i | ||||
\(909\) | −21014.4 | − | 7648.61i | −0.766780 | − | 0.279085i | ||||
\(910\) | −23347.8 | − | 8497.89i | −0.850517 | − | 0.309563i | ||||
\(911\) | 23967.0 | − | 41512.0i | 0.871637 | − | 1.50972i | 0.0113336 | − | 0.999936i | \(-0.496392\pi\) |
0.860303 | − | 0.509783i | \(-0.170274\pi\) | |||||||
\(912\) | 186.409 | − | 1057.18i | 0.00676823 | − | 0.0383846i | ||||
\(913\) | −13601.4 | + | 11412.9i | −0.493034 | + | 0.413705i | ||||
\(914\) | 9094.95 | + | 15752.9i | 0.329140 | + | 0.570088i | ||||
\(915\) | −4031.89 | + | 6983.43i | −0.145672 | + | 0.252312i | ||||
\(916\) | 3166.20 | + | 17956.4i | 0.114208 | + | 0.647704i | ||||
\(917\) | −16104.9 | − | 27894.5i | −0.579969 | − | 1.00454i | ||||
\(918\) | −1862.30 | + | 677.822i | −0.0669554 | + | 0.0243698i | ||||
\(919\) | −11605.1 | −0.416558 | −0.208279 | − | 0.978069i | \(-0.566786\pi\) | ||||
−0.208279 | + | 0.978069i | \(0.566786\pi\) | |||||||
\(920\) | −5404.51 | + | 1967.08i | −0.193675 | + | 0.0704921i | ||||
\(921\) | 1294.29 | − | 7340.26i | 0.0463064 | − | 0.262617i | ||||
\(922\) | 17323.0 | + | 14535.7i | 0.618765 | + | 0.519206i | ||||
\(923\) | −22886.6 | + | 19204.1i | −0.816165 | + | 0.684844i | ||||
\(924\) | −7766.85 | −0.276527 | ||||||||
\(925\) | −18457.4 | + | 3808.69i | −0.656080 | + | 0.135383i | ||||
\(926\) | 1142.78 | 0.0405553 | ||||||||
\(927\) | 664.006 | − | 557.168i | 0.0235263 | − | 0.0197409i | ||||
\(928\) | −6644.83 | − | 5575.67i | −0.235051 | − | 0.197231i | ||||
\(929\) | −6966.69 | + | 39510.1i | −0.246039 | + | 1.39535i | 0.572030 | + | 0.820233i | \(0.306156\pi\) |
−0.818068 | + | 0.575121i | \(0.804955\pi\) | |||||||
\(930\) | 4438.05 | − | 1615.32i | 0.156483 | − | 0.0569552i | ||||
\(931\) | −22915.0 | −0.806670 | ||||||||
\(932\) | 16433.3 | − | 5981.23i | 0.577564 | − | 0.210216i | ||||
\(933\) | 7027.16 | + | 12171.4i | 0.246580 | + | 0.427089i | ||||
\(934\) | 531.554 | + | 3014.59i | 0.0186220 | + | 0.105611i | ||||
\(935\) | −1290.62 | + | 2235.42i | −0.0451420 | + | 0.0781883i | ||||
\(936\) | −6036.45 | − | 10455.4i | −0.210799 | − | 0.365114i | ||||
\(937\) | −21711.0 | + | 18217.7i | −0.756957 | + | 0.635162i | −0.937333 | − | 0.348436i | \(-0.886713\pi\) |
0.180376 | + | 0.983598i | \(0.442269\pi\) | |||||||
\(938\) | −4353.35 | + | 24689.0i | −0.151537 | + | 0.859409i | ||||
\(939\) | 3975.74 | − | 6886.18i | 0.138172 | − | 0.239321i | ||||
\(940\) | −2368.61 | − | 862.105i | −0.0821869 | − | 0.0299136i | ||||
\(941\) | 38546.4 | + | 14029.8i | 1.33536 | + | 0.486033i | 0.908350 | − | 0.418212i | \(-0.137343\pi\) |
0.427015 | + | 0.904245i | \(0.359565\pi\) | |||||||
\(942\) | 1627.75 | + | 9231.45i | 0.0563005 | + | 0.319296i | ||||
\(943\) | −38212.4 | − | 32064.0i | −1.31958 | − | 1.10726i | ||||
\(944\) | 4346.24 | + | 3646.93i | 0.149850 | + | 0.125739i | ||||
\(945\) | −3050.88 | − | 17302.4i | −0.105021 | − | 0.595606i | ||||
\(946\) | 23631.0 | + | 8600.98i | 0.812167 | + | 0.295604i | ||||
\(947\) | 16096.6 | + | 5858.67i | 0.552342 | + | 0.201036i | 0.603087 | − | 0.797676i | \(-0.293937\pi\) |
−0.0507446 | + | 0.998712i | \(0.516159\pi\) | |||||||
\(948\) | 1365.26 | − | 2364.71i | 0.0467740 | − | 0.0810149i | ||||
\(949\) | 2947.93 | − | 16718.5i | 0.100837 | − | 0.571872i | ||||
\(950\) | −4916.95 | + | 4125.81i | −0.167923 | + | 0.140904i | ||||
\(951\) | −3846.80 | − | 6662.85i | −0.131168 | − | 0.227190i | ||||
\(952\) | −1363.51 | + | 2361.67i | −0.0464199 | + | 0.0804015i | ||||
\(953\) | −2134.80 | − | 12107.1i | −0.0725635 | − | 0.411528i | −0.999354 | − | 0.0359484i | \(-0.988555\pi\) |
0.926790 | − | 0.375579i | \(-0.122556\pi\) | |||||||
\(954\) | −5127.41 | − | 8880.93i | −0.174010 | − | 0.301395i | ||||
\(955\) | −2358.64 | + | 858.476i | −0.0799204 | + | 0.0290886i | ||||
\(956\) | −27231.0 | −0.921247 | ||||||||
\(957\) | 16124.2 | − | 5868.73i | 0.544641 | − | 0.198233i | ||||
\(958\) | 991.125 | − | 5620.95i | 0.0334257 | − | 0.189566i | ||||
\(959\) | 42157.9 | + | 35374.6i | 1.41955 | + | 1.19114i | ||||
\(960\) | 551.311 | − | 462.605i | 0.0185349 | − | 0.0155526i | ||||
\(961\) | 14307.8 | 0.480273 | ||||||||
\(962\) | 821.815 | + | 28368.2i | 0.0275430 | + | 0.950756i | ||||
\(963\) | −25183.3 | −0.842701 | ||||||||
\(964\) | 5342.43 | − | 4482.83i | 0.178494 | − | 0.149774i | ||||
\(965\) | 7072.66 | + | 5934.67i | 0.235935 | + | 0.197973i | ||||
\(966\) | 2087.20 | − | 11837.1i | 0.0695182 | − | 0.394257i | ||||
\(967\) | −12659.7 | + | 4607.75i | −0.421001 | + | 0.153232i | −0.543829 | − | 0.839196i | \(-0.683026\pi\) |
0.122828 | + | 0.992428i | \(0.460804\pi\) | |||||||
\(968\) | 187.766 | 0.00623454 | ||||||||
\(969\) | 700.632 | − | 255.009i | 0.0232276 | − | 0.00845416i | ||||
\(970\) | 6325.97 | + | 10956.9i | 0.209397 | + | 0.362686i | ||||
\(971\) | 106.782 | + | 605.594i | 0.00352916 | + | 0.0200149i | 0.986521 | − | 0.163632i | \(-0.0523209\pi\) |
−0.982992 | + | 0.183647i | \(0.941210\pi\) | |||||||
\(972\) | 6531.19 | − | 11312.4i | 0.215523 | − | 0.373296i | ||||
\(973\) | 33313.2 | + | 57700.1i | 1.09761 | + | 1.90111i | ||||
\(974\) | 14708.6 | − | 12342.0i | 0.483874 | − | 0.406018i | ||||
\(975\) | 1604.95 | − | 9102.10i | 0.0527173 | − | 0.298975i | ||||
\(976\) | −5736.74 | + | 9936.33i | −0.188144 | + | 0.325875i | ||||
\(977\) | 1158.79 | + | 421.766i | 0.0379458 | + | 0.0138112i | 0.360923 | − | 0.932595i | \(-0.382462\pi\) |
−0.322978 | + | 0.946407i | \(0.604684\pi\) | |||||||
\(978\) | 13346.8 | + | 4857.83i | 0.436384 | + | 0.158831i | ||||
\(979\) | −6066.12 | − | 34402.7i | −0.198033 | − | 1.12310i | ||||
\(980\) | −11768.5 | − | 9874.92i | −0.383602 | − | 0.321880i | ||||
\(981\) | −12119.3 | − | 10169.3i | −0.394433 | − | 0.330969i | ||||
\(982\) | −3078.09 | − | 17456.7i | −0.100026 | − | 0.567277i | ||||
\(983\) | −16870.4 | − | 6140.32i | −0.547388 | − | 0.199233i | 0.0534977 | − | 0.998568i | \(-0.482963\pi\) |
−0.600886 | + | 0.799335i | \(0.705185\pi\) | |||||||
\(984\) | 5865.54 | + | 2134.88i | 0.190027 | + | 0.0691642i | ||||
\(985\) | 3570.15 | − | 6183.69i | 0.115487 | − | 0.200029i | ||||
\(986\) | 1046.18 | − | 5933.19i | 0.0337903 | − | 0.191634i | ||||
\(987\) | 4035.39 | − | 3386.10i | 0.130140 | − | 0.109200i | ||||
\(988\) | 4832.83 | + | 8370.71i | 0.155620 | + | 0.269542i | ||||
\(989\) | −19458.8 | + | 33703.5i | −0.625634 | + | 1.08363i | ||||
\(990\) | −1930.82 | − | 10950.2i | −0.0619854 | − | 0.351537i | ||||
\(991\) | 26772.4 | + | 46371.1i | 0.858175 | + | 1.48640i | 0.873667 | + | 0.486524i | \(0.161735\pi\) |
−0.0154920 | + | 0.999880i | \(0.504931\pi\) | |||||||
\(992\) | 6314.65 | − | 2298.34i | 0.202107 | − | 0.0735610i | ||||
\(993\) | −18280.3 | −0.584197 | ||||||||
\(994\) | −27317.0 | + | 9942.59i | −0.871674 | + | 0.317263i | ||||
\(995\) | −1518.55 | + | 8612.10i | −0.0483830 | + | 0.274394i | ||||
\(996\) | 2633.93 | + | 2210.13i | 0.0837946 | + | 0.0703120i | ||||
\(997\) | −6319.19 | + | 5302.43i | −0.200733 | + | 0.168435i | −0.737613 | − | 0.675223i | \(-0.764047\pi\) |
0.536880 | + | 0.843659i | \(0.319603\pi\) | |||||||
\(998\) | −25757.9 | −0.816987 | ||||||||
\(999\) | −17081.8 | + | 10533.2i | −0.540984 | + | 0.333589i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 74.4.f.a.49.2 | ✓ | 24 | |
37.34 | even | 9 | inner | 74.4.f.a.71.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.a.49.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
74.4.f.a.71.2 | yes | 24 | 37.34 | even | 9 | inner |