Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(289,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.s (of order \(3\), degree \(2\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 11 x^{14} - 4 x^{13} + 87 x^{12} - 35 x^{11} + 326 x^{10} - 205 x^{9} + 895 x^{8} - 481 x^{7} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 802.8 | ||
Root | \(1.21707 + 2.10803i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 819.802 |
Dual form | 819.2.s.e.289.8 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.43414 | 1.72120 | 0.860600 | − | 0.509281i | \(-0.170089\pi\) | ||||
0.860600 | + | 0.509281i | \(0.170089\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.92506 | 1.96253 | ||||||||
\(5\) | 0.613891 | + | 1.06329i | 0.274540 | + | 0.475518i | 0.970019 | − | 0.243029i | \(-0.0781409\pi\) |
−0.695479 | + | 0.718547i | \(0.744808\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.20121 | − | 1.46788i | 0.831979 | − | 0.554807i | ||||
\(8\) | 4.68588 | 1.65671 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.49430 | + | 2.58820i | 0.472539 | + | 0.818462i | ||||
\(11\) | 1.74628 | + | 3.02464i | 0.526522 | + | 0.911963i | 0.999522 | + | 0.0309005i | \(0.00983750\pi\) |
−0.473001 | + | 0.881062i | \(0.656829\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.87580 | − | 2.17480i | −0.797604 | − | 0.603181i | ||||
\(14\) | 5.35806 | − | 3.57304i | 1.43200 | − | 0.954935i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.55599 | 0.888997 | ||||||||
\(17\) | −4.52705 | −1.09797 | −0.548986 | − | 0.835832i | \(-0.684986\pi\) | ||||
−0.548986 | + | 0.835832i | \(0.684986\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.677706 | + | 1.17382i | −0.155476 | + | 0.269293i | −0.933232 | − | 0.359273i | \(-0.883025\pi\) |
0.777756 | + | 0.628566i | \(0.216358\pi\) | |||||||
\(20\) | 2.40956 | + | 4.17348i | 0.538794 | + | 0.933219i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.25069 | + | 7.36241i | 0.906250 | + | 1.56967i | ||||
\(23\) | 0.673327 | 0.140398 | 0.0701992 | − | 0.997533i | \(-0.477636\pi\) | ||||
0.0701992 | + | 0.997533i | \(0.477636\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.74628 | − | 3.02464i | 0.349255 | − | 0.604928i | ||||
\(26\) | −7.00012 | − | 5.29378i | −1.37284 | − | 1.03820i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.63988 | − | 5.76153i | 1.63278 | − | 1.08883i | ||||
\(29\) | −2.64824 | + | 4.58688i | −0.491766 | + | 0.851763i | −0.999955 | − | 0.00948238i | \(-0.996982\pi\) |
0.508189 | + | 0.861245i | \(0.330315\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.99846 | − | 8.65759i | 0.897750 | − | 1.55495i | 0.0673864 | − | 0.997727i | \(-0.478534\pi\) |
0.830364 | − | 0.557222i | \(-0.188133\pi\) | |||||||
\(32\) | −0.715973 | −0.126567 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −11.0195 | −1.88983 | ||||||||
\(35\) | 2.91209 | + | 1.43940i | 0.492233 | + | 0.243304i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.08236 | −0.506737 | −0.253368 | − | 0.967370i | \(-0.581538\pi\) | ||||
−0.253368 | + | 0.967370i | \(0.581538\pi\) | |||||||
\(38\) | −1.64963 | + | 2.85725i | −0.267606 | + | 0.463507i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.87662 | + | 4.98245i | 0.454834 | + | 0.787795i | ||||
\(41\) | −3.61102 | + | 6.25447i | −0.563947 | + | 0.976784i | 0.433200 | + | 0.901298i | \(0.357384\pi\) |
−0.997147 | + | 0.0754865i | \(0.975949\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.48886 | + | 7.77494i | 0.684545 | + | 1.18567i | 0.973579 | + | 0.228348i | \(0.0733325\pi\) |
−0.289034 | + | 0.957319i | \(0.593334\pi\) | |||||||
\(44\) | 6.85424 | + | 11.8719i | 1.03332 | + | 1.78975i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.63898 | 0.241654 | ||||||||
\(47\) | −2.58008 | − | 4.46883i | −0.376344 | − | 0.651846i | 0.614184 | − | 0.789163i | \(-0.289485\pi\) |
−0.990527 | + | 0.137317i | \(0.956152\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.69064 | − | 6.46223i | 0.384377 | − | 0.923176i | ||||
\(50\) | 4.25069 | − | 7.36241i | 0.601138 | − | 1.04120i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −11.2877 | − | 8.53623i | −1.56532 | − | 1.18376i | ||||
\(53\) | 4.95271 | − | 8.57835i | 0.680308 | − | 1.17833i | −0.294579 | − | 0.955627i | \(-0.595180\pi\) |
0.974887 | − | 0.222700i | \(-0.0714871\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.14405 | + | 3.71360i | −0.289103 | + | 0.500741i | ||||
\(56\) | 10.3146 | − | 6.87832i | 1.37835 | − | 0.919154i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.44620 | + | 11.1651i | −0.846427 | + | 1.46605i | ||||
\(59\) | −0.803443 | −0.104599 | −0.0522997 | − | 0.998631i | \(-0.516655\pi\) | ||||
−0.0522997 | + | 0.998631i | \(0.516655\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.32487 | + | 4.02680i | −0.297669 | + | 0.515579i | −0.975602 | − | 0.219545i | \(-0.929543\pi\) |
0.677933 | + | 0.735124i | \(0.262876\pi\) | |||||||
\(62\) | 12.1670 | − | 21.0738i | 1.54521 | − | 2.67638i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.85475 | −1.10684 | ||||||||
\(65\) | 0.547016 | − | 4.39290i | 0.0678490 | − | 0.544873i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.06068 | + | 1.83715i | 0.129583 | + | 0.224444i | 0.923515 | − | 0.383563i | \(-0.125303\pi\) |
−0.793932 | + | 0.608006i | \(0.791970\pi\) | |||||||
\(68\) | −17.7690 | −2.15480 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.08845 | + | 3.50372i | 0.847231 | + | 0.418775i | ||||
\(71\) | 2.52793 | + | 4.37850i | 0.300010 | + | 0.519632i | 0.976138 | − | 0.217152i | \(-0.0696767\pi\) |
−0.676128 | + | 0.736784i | \(0.736343\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.04227 | + | 10.4655i | −0.707194 | + | 1.22490i | 0.258699 | + | 0.965958i | \(0.416706\pi\) |
−0.965894 | + | 0.258939i | \(0.916627\pi\) | |||||||
\(74\) | −7.50291 | −0.872195 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.66004 | + | 4.60732i | −0.305127 | + | 0.528496i | ||||
\(77\) | 8.28373 | + | 4.09453i | 0.944019 | + | 0.466615i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.90140 | − | 10.2215i | −0.663960 | − | 1.15001i | −0.979566 | − | 0.201122i | \(-0.935541\pi\) |
0.315607 | − | 0.948890i | \(-0.397792\pi\) | |||||||
\(80\) | 2.18299 | + | 3.78105i | 0.244066 | + | 0.422734i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.78975 | + | 15.2243i | −0.970665 | + | 1.68124i | ||||
\(83\) | −12.6805 | −1.39187 | −0.695935 | − | 0.718105i | \(-0.745010\pi\) | ||||
−0.695935 | + | 0.718105i | \(0.745010\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.77912 | − | 4.81357i | −0.301438 | − | 0.522105i | ||||
\(86\) | 10.9265 | + | 18.9253i | 1.17824 | + | 2.04077i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.18284 | + | 14.1731i | 0.872293 | + | 1.51086i | ||||
\(89\) | 3.10466 | 0.329093 | 0.164546 | − | 0.986369i | \(-0.447384\pi\) | ||||
0.164546 | + | 0.986369i | \(0.447384\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.52259 | − | 0.565851i | −0.998239 | − | 0.0593173i | ||||
\(92\) | 2.64285 | 0.275536 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.28029 | − | 10.8778i | −0.647763 | − | 1.12196i | ||||
\(95\) | −1.66415 | −0.170738 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.59585 | − | 6.22820i | −0.365104 | − | 0.632378i | 0.623689 | − | 0.781672i | \(-0.285633\pi\) |
−0.988793 | + | 0.149294i | \(0.952300\pi\) | |||||||
\(98\) | 6.54941 | − | 15.7300i | 0.661590 | − | 1.58897i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.85424 | − | 11.8719i | 0.685424 | − | 1.18719i | ||||
\(101\) | −0.772886 | − | 1.33868i | −0.0769050 | − | 0.133203i | 0.825008 | − | 0.565121i | \(-0.191170\pi\) |
−0.901913 | + | 0.431918i | \(0.857837\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.75895 | − | 4.77865i | −0.271848 | − | 0.470854i | 0.697487 | − | 0.716597i | \(-0.254301\pi\) |
−0.969335 | + | 0.245743i | \(0.920968\pi\) | |||||||
\(104\) | −13.4757 | − | 10.1909i | −1.32140 | − | 0.999296i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.0556 | − | 20.8810i | 1.17095 | − | 2.02814i | ||||
\(107\) | −1.44837 | −0.140020 | −0.0700098 | − | 0.997546i | \(-0.522303\pi\) | ||||
−0.0700098 | + | 0.997546i | \(0.522303\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.20485 | + | 14.2112i | −0.785882 | + | 1.36119i | 0.142588 | + | 0.989782i | \(0.454458\pi\) |
−0.928471 | + | 0.371406i | \(0.878876\pi\) | |||||||
\(110\) | −5.21892 | + | 9.03943i | −0.497604 | + | 0.861876i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 7.82747 | − | 5.21977i | 0.739626 | − | 0.493222i | ||||
\(113\) | −5.38049 | − | 9.31929i | −0.506154 | − | 0.876685i | −0.999975 | − | 0.00712097i | \(-0.997733\pi\) |
0.493820 | − | 0.869564i | \(-0.335600\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.413350 | + | 0.715943i | 0.0385451 | + | 0.0667620i | ||||
\(116\) | −10.3945 | + | 18.0038i | −0.965105 | + | 1.67161i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.95570 | −0.180036 | ||||||||
\(119\) | −9.96499 | + | 6.64518i | −0.913489 | + | 0.609163i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.598956 | + | 1.03742i | −0.0544505 | + | 0.0943111i | ||||
\(122\) | −5.65908 | + | 9.80181i | −0.512349 | + | 0.887414i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 19.6193 | − | 33.9816i | 1.76186 | − | 3.05164i | ||||
\(125\) | 10.4270 | 0.932619 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.24568 | − | 14.2819i | 0.731686 | − | 1.26732i | −0.224476 | − | 0.974480i | \(-0.572067\pi\) |
0.956162 | − | 0.292838i | \(-0.0945996\pi\) | |||||||
\(128\) | −20.1218 | −1.77853 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.33152 | − | 10.6930i | 0.116782 | − | 0.937835i | ||||
\(131\) | −3.52172 | − | 6.09979i | −0.307694 | − | 0.532942i | 0.670164 | − | 0.742213i | \(-0.266224\pi\) |
−0.977857 | + | 0.209272i | \(0.932891\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.231259 | + | 3.57862i | 0.0200527 | + | 0.310306i | ||||
\(134\) | 2.58185 | + | 4.47189i | 0.223038 | + | 0.386312i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −21.2132 | −1.81902 | ||||||||
\(137\) | 19.3213 | 1.65073 | 0.825365 | − | 0.564600i | \(-0.190969\pi\) | ||||
0.825365 | + | 0.564600i | \(0.190969\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.76176 | + | 13.4438i | 0.658343 | + | 1.14028i | 0.981044 | + | 0.193783i | \(0.0620759\pi\) |
−0.322701 | + | 0.946501i | \(0.604591\pi\) | |||||||
\(140\) | 11.4301 | + | 5.64975i | 0.966022 | + | 0.477491i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.15334 | + | 10.6579i | 0.516377 | + | 0.894392i | ||||
\(143\) | 1.55604 | − | 12.4961i | 0.130123 | − | 1.04497i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.50292 | −0.540038 | ||||||||
\(146\) | −14.7078 | + | 25.4746i | −1.21722 | + | 2.10829i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.0984 | −0.994486 | ||||||||
\(149\) | 8.76659 | − | 15.1842i | 0.718187 | − | 1.24394i | −0.243530 | − | 0.969893i | \(-0.578306\pi\) |
0.961717 | − | 0.274043i | \(-0.0883611\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.01950 | + | 12.1581i | −0.571239 | + | 0.989415i | 0.425200 | + | 0.905099i | \(0.360204\pi\) |
−0.996439 | + | 0.0843154i | \(0.973130\pi\) | |||||||
\(152\) | −3.17565 | + | 5.50038i | −0.257579 | + | 0.446140i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 20.1638 | + | 9.96669i | 1.62485 | + | 0.803138i | ||||
\(155\) | 12.2740 | 0.985875 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.62295 | − | 9.73923i | 0.448760 | − | 0.777275i | −0.549545 | − | 0.835464i | \(-0.685199\pi\) |
0.998306 | + | 0.0581884i | \(0.0185324\pi\) | |||||||
\(158\) | −14.3649 | − | 24.8807i | −1.14281 | − | 1.97940i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.439529 | − | 0.761287i | −0.0347478 | − | 0.0601850i | ||||
\(161\) | 1.48213 | − | 0.988365i | 0.116809 | − | 0.0778941i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.80397 | + | 10.0528i | −0.454602 | + | 0.787394i | −0.998665 | − | 0.0516501i | \(-0.983552\pi\) |
0.544063 | + | 0.839044i | \(0.316885\pi\) | |||||||
\(164\) | −14.1735 | + | 24.5492i | −1.10676 | + | 1.91697i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −30.8662 | −2.39569 | ||||||||
\(167\) | −3.44594 | + | 5.96855i | −0.266655 | + | 0.461860i | −0.967996 | − | 0.250966i | \(-0.919252\pi\) |
0.701341 | + | 0.712826i | \(0.252585\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.54048 | + | 12.5086i | 0.272345 | + | 0.962200i | ||||
\(170\) | −6.76477 | − | 11.7169i | −0.518834 | − | 0.898648i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 17.6191 | + | 30.5171i | 1.34344 | + | 2.32691i | ||||
\(173\) | −7.91930 | + | 13.7166i | −0.602093 | + | 1.04286i | 0.390411 | + | 0.920641i | \(0.372333\pi\) |
−0.992504 | + | 0.122215i | \(0.961000\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.595896 | − | 9.22119i | −0.0450455 | − | 0.697056i | ||||
\(176\) | 6.20973 | + | 10.7556i | 0.468076 | + | 0.810732i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.55718 | 0.566435 | ||||||||
\(179\) | 10.5515 | + | 18.2758i | 0.788658 | + | 1.36600i | 0.926789 | + | 0.375582i | \(0.122557\pi\) |
−0.138131 | + | 0.990414i | \(0.544109\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.0685 | 1.12003 | 0.560015 | − | 0.828483i | \(-0.310796\pi\) | ||||
0.560015 | + | 0.828483i | \(0.310796\pi\) | |||||||
\(182\) | −23.1794 | − | 1.37736i | −1.71817 | − | 0.102097i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.15513 | 0.232599 | ||||||||
\(185\) | −1.89223 | − | 3.27744i | −0.139120 | − | 0.240962i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.90548 | − | 13.6927i | −0.578106 | − | 1.00131i | ||||
\(188\) | −10.1270 | − | 17.5404i | −0.738586 | − | 1.27927i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.05078 | −0.293875 | ||||||||
\(191\) | −4.74903 | + | 8.22556i | −0.343628 | + | 0.595180i | −0.985103 | − | 0.171963i | \(-0.944989\pi\) |
0.641476 | + | 0.767143i | \(0.278322\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.27175 | + | 16.0591i | 0.667395 | + | 1.15596i | 0.978630 | + | 0.205629i | \(0.0659241\pi\) |
−0.311235 | + | 0.950333i | \(0.600743\pi\) | |||||||
\(194\) | −8.75283 | − | 15.1603i | −0.628416 | − | 1.08845i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.5609 | − | 25.3647i | 0.754352 | − | 1.81176i | ||||
\(197\) | 12.8786 | − | 22.3065i | 0.917565 | − | 1.58927i | 0.114463 | − | 0.993427i | \(-0.463485\pi\) |
0.803102 | − | 0.595842i | \(-0.203181\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6956 | 1.25441 | 0.627203 | − | 0.778856i | \(-0.284200\pi\) | ||||
0.627203 | + | 0.778856i | \(0.284200\pi\) | |||||||
\(200\) | 8.18284 | − | 14.1731i | 0.578614 | − | 1.00219i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.88132 | − | 3.25854i | −0.132369 | − | 0.229270i | ||||
\(203\) | 0.903681 | + | 13.9840i | 0.0634259 | + | 0.981484i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.86709 | −0.619305 | ||||||||
\(206\) | −6.71569 | − | 11.6319i | −0.467905 | − | 0.810434i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.2263 | − | 7.73356i | −0.709067 | − | 0.536226i | ||||
\(209\) | −4.73385 | −0.327447 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.23896 | + | 10.8062i | −0.429508 | + | 0.743929i | −0.996830 | − | 0.0795669i | \(-0.974646\pi\) |
0.567322 | + | 0.823496i | \(0.307980\pi\) | |||||||
\(212\) | 19.4397 | − | 33.6706i | 1.33512 | − | 2.31250i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.52555 | −0.241002 | ||||||||
\(215\) | −5.51135 | + | 9.54593i | −0.375871 | + | 0.651027i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.70567 | − | 26.3943i | −0.115788 | − | 1.79176i | ||||
\(218\) | −19.9718 | + | 34.5922i | −1.35266 | + | 2.34288i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.41551 | + | 14.5761i | −0.567374 | + | 0.982720i | ||||
\(221\) | 13.0189 | + | 9.84544i | 0.875746 | + | 0.662276i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.65232 | + | 8.05805i | −0.311542 | + | 0.539607i | −0.978696 | − | 0.205313i | \(-0.934179\pi\) |
0.667154 | + | 0.744920i | \(0.267512\pi\) | |||||||
\(224\) | −1.57601 | + | 1.05096i | −0.105301 | + | 0.0702205i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.0969 | − | 22.6845i | −0.871193 | − | 1.50895i | ||||
\(227\) | −9.53301 | −0.632728 | −0.316364 | − | 0.948638i | \(-0.602462\pi\) | ||||
−0.316364 | + | 0.948638i | \(0.602462\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.22423 | + | 5.58453i | 0.213063 | + | 0.369036i | 0.952672 | − | 0.304001i | \(-0.0983226\pi\) |
−0.739608 | + | 0.673037i | \(0.764989\pi\) | |||||||
\(230\) | 1.00615 | + | 1.74271i | 0.0663438 | + | 0.114911i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.4093 | + | 21.4936i | −0.814712 | + | 1.41112i | ||||
\(233\) | −12.2379 | − | 21.1967i | −0.801733 | − | 1.38864i | −0.918475 | − | 0.395479i | \(-0.870579\pi\) |
0.116742 | − | 0.993162i | \(-0.462755\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.16778 | − | 5.48675i | 0.206643 | − | 0.357916i | ||||
\(236\) | −3.15356 | −0.205279 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −24.2562 | + | 16.1753i | −1.57230 | + | 1.04849i | ||||
\(239\) | −3.62130 | −0.234242 | −0.117121 | − | 0.993118i | \(-0.537367\pi\) | ||||
−0.117121 | + | 0.993118i | \(0.537367\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 25.1298 | 1.61875 | 0.809377 | − | 0.587289i | \(-0.199805\pi\) | ||||
0.809377 | + | 0.587289i | \(0.199805\pi\) | |||||||
\(242\) | −1.45795 | + | 2.52524i | −0.0937203 | + | 0.162328i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.12527 | + | 15.8054i | −0.584185 | + | 1.01184i | ||||
\(245\) | 8.52299 | − | 1.10617i | 0.544514 | − | 0.0706708i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.50178 | − | 1.90180i | 0.286441 | − | 0.121009i | ||||
\(248\) | 23.4222 | − | 40.5684i | 1.48731 | − | 2.57610i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 25.3808 | 1.60523 | ||||||||
\(251\) | −0.280269 | − | 0.485440i | −0.0176904 | − | 0.0306407i | 0.857045 | − | 0.515242i | \(-0.172298\pi\) |
−0.874735 | + | 0.484601i | \(0.838965\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.17581 | + | 2.03657i | 0.0739229 | + | 0.128038i | ||||
\(254\) | 20.0712 | − | 34.7643i | 1.25938 | − | 2.18131i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −31.2699 | −1.95437 | ||||||||
\(257\) | 23.7587 | 1.48203 | 0.741013 | − | 0.671490i | \(-0.234345\pi\) | ||||
0.741013 | + | 0.671490i | \(0.234345\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.78491 | + | 4.52454i | −0.421594 | + | 0.281141i | ||||
\(260\) | 2.14707 | − | 17.2424i | 0.133156 | − | 1.06933i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.57237 | − | 14.8478i | −0.529603 | − | 0.917299i | ||||
\(263\) | −3.53761 | − | 6.12732i | −0.218138 | − | 0.377827i | 0.736100 | − | 0.676872i | \(-0.236665\pi\) |
−0.954239 | + | 0.299046i | \(0.903332\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.1617 | 0.747088 | ||||||||
\(266\) | 0.562919 | + | 8.71088i | 0.0345148 | + | 0.534098i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.16323 | + | 7.21093i | 0.254310 | + | 0.440478i | ||||
\(269\) | 10.3884 | 0.633394 | 0.316697 | − | 0.948527i | \(-0.397426\pi\) | ||||
0.316697 | + | 0.948527i | \(0.397426\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.122772 | −0.00745789 | −0.00372894 | − | 0.999993i | \(-0.501187\pi\) | ||||
−0.00372894 | + | 0.999993i | \(0.501187\pi\) | |||||||
\(272\) | −16.0981 | −0.976093 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 47.0308 | 2.84124 | ||||||||
\(275\) | 12.1979 | 0.735562 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.37199 | −0.322771 | −0.161386 | − | 0.986891i | \(-0.551596\pi\) | ||||
−0.161386 | + | 0.986891i | \(0.551596\pi\) | |||||||
\(278\) | 18.8932 | + | 32.7240i | 1.13314 | + | 1.96266i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 13.6457 | + | 6.74488i | 0.815486 | + | 0.403083i | ||||
\(281\) | 14.8847 | 0.887945 | 0.443972 | − | 0.896040i | \(-0.353569\pi\) | ||||
0.443972 | + | 0.896040i | \(0.353569\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.24269 | − | 3.88445i | −0.133314 | − | 0.230906i | 0.791638 | − | 0.610990i | \(-0.209229\pi\) |
−0.924952 | + | 0.380084i | \(0.875895\pi\) | |||||||
\(284\) | 9.92228 | + | 17.1859i | 0.588779 | + | 1.01979i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.78763 | − | 30.4172i | 0.223967 | − | 1.79861i | ||||
\(287\) | 1.23222 | + | 19.0680i | 0.0727356 | + | 1.12555i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.49420 | 0.205541 | ||||||||
\(290\) | −15.8291 | −0.929514 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −23.7163 | + | 41.0778i | −1.38789 | + | 2.40390i | ||||
\(293\) | 11.0016 | + | 19.0553i | 0.642719 | + | 1.11322i | 0.984823 | + | 0.173560i | \(0.0555269\pi\) |
−0.342105 | + | 0.939662i | \(0.611140\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.493226 | − | 0.854293i | −0.0287168 | − | 0.0497389i | ||||
\(296\) | −14.4436 | −0.839515 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 21.3392 | − | 36.9605i | 1.23614 | − | 2.14106i | ||||
\(299\) | −1.93636 | − | 1.46435i | −0.111982 | − | 0.0846857i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 21.2936 | + | 10.5251i | 1.22734 | + | 0.606659i | ||||
\(302\) | −17.0865 | + | 29.5947i | −0.983217 | + | 1.70298i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.40991 | + | 4.17409i | −0.138218 | + | 0.239401i | ||||
\(305\) | −5.70887 | −0.326889 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.9959 | 1.88318 | 0.941589 | − | 0.336764i | \(-0.109333\pi\) | ||||
0.941589 | + | 0.336764i | \(0.109333\pi\) | |||||||
\(308\) | 32.5142 | + | 16.0713i | 1.85267 | + | 0.915747i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 29.8768 | 1.69689 | ||||||||
\(311\) | −4.11532 | + | 7.12794i | −0.233358 | + | 0.404188i | −0.958794 | − | 0.284101i | \(-0.908305\pi\) |
0.725436 | + | 0.688290i | \(0.241638\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.14348 | + | 12.3729i | 0.403773 | + | 0.699356i | 0.994178 | − | 0.107752i | \(-0.0343651\pi\) |
−0.590405 | + | 0.807107i | \(0.701032\pi\) | |||||||
\(314\) | 13.6871 | − | 23.7067i | 0.772406 | − | 1.33785i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −23.1634 | − | 40.1201i | −1.30304 | − | 2.25693i | ||||
\(317\) | −4.68195 | − | 8.10938i | −0.262965 | − | 0.455468i | 0.704064 | − | 0.710137i | \(-0.251367\pi\) |
−0.967028 | + | 0.254669i | \(0.918034\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −18.4982 | −1.03570 | ||||||||
\(320\) | −5.43585 | − | 9.41518i | −0.303874 | − | 0.526324i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.60773 | − | 2.40582i | 0.201051 | − | 0.134071i | ||||
\(323\) | 3.06801 | − | 5.31395i | 0.170709 | − | 0.295676i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.5999 | + | 4.90046i | −0.643448 | + | 0.271829i | ||||
\(326\) | −14.1277 | + | 24.4699i | −0.782462 | + | 1.35526i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −16.9208 | + | 29.3077i | −0.934295 | + | 1.61825i | ||||
\(329\) | −12.2390 | − | 6.04958i | −0.674759 | − | 0.333524i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.2390 | − | 21.1985i | 0.672714 | − | 1.16517i | −0.304418 | − | 0.952539i | \(-0.598462\pi\) |
0.977132 | − | 0.212636i | \(-0.0682047\pi\) | |||||||
\(332\) | −49.7719 | −2.73159 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.38793 | + | 14.5283i | −0.458967 | + | 0.794954i | ||||
\(335\) | −1.30228 | + | 2.25562i | −0.0711513 | + | 0.123238i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.1685 | −0.717334 | −0.358667 | − | 0.933466i | \(-0.616769\pi\) | ||||
−0.358667 | + | 0.933466i | \(0.616769\pi\) | |||||||
\(338\) | 8.61805 | + | 30.4477i | 0.468760 | + | 1.65614i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −10.9082 | − | 18.8936i | −0.591580 | − | 1.02465i | ||||
\(341\) | 34.9148 | 1.89074 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.56314 | − | 18.1743i | −0.192391 | − | 0.981318i | ||||
\(344\) | 21.0343 | + | 36.4324i | 1.13409 | + | 1.96430i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.2767 | + | 33.3882i | −1.03632 | + | 1.79496i | ||||
\(347\) | −14.6733 | −0.787705 | −0.393853 | − | 0.919174i | \(-0.628858\pi\) | ||||
−0.393853 | + | 0.919174i | \(0.628858\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.1698 | − | 21.0787i | 0.651433 | − | 1.12831i | −0.331342 | − | 0.943511i | \(-0.607502\pi\) |
0.982775 | − | 0.184804i | \(-0.0591652\pi\) | |||||||
\(350\) | −1.45050 | − | 22.4457i | −0.0775324 | − | 1.19977i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.25029 | − | 2.16556i | −0.0666404 | − | 0.115425i | ||||
\(353\) | −0.334813 | − | 0.579912i | −0.0178203 | − | 0.0308656i | 0.856978 | − | 0.515353i | \(-0.172339\pi\) |
−0.874798 | + | 0.484488i | \(0.839006\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.10375 | + | 5.37585i | −0.164730 | + | 0.285320i | ||||
\(356\) | 12.1860 | 0.645855 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 25.6840 | + | 44.4859i | 1.35744 | + | 2.35115i | ||||
\(359\) | −17.8146 | − | 30.8557i | −0.940216 | − | 1.62850i | −0.765058 | − | 0.643962i | \(-0.777290\pi\) |
−0.175158 | − | 0.984540i | \(-0.556044\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.58143 | + | 14.8635i | 0.451654 | + | 0.782288i | ||||
\(362\) | 36.6788 | 1.92779 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −37.3768 | − | 2.22100i | −1.95908 | − | 0.116412i | ||||
\(365\) | −14.8372 | −0.776614 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.11118 | − | 8.85282i | −0.266801 | − | 0.462113i | 0.701233 | − | 0.712932i | \(-0.252633\pi\) |
−0.968034 | + | 0.250819i | \(0.919300\pi\) | |||||||
\(368\) | 2.39434 | 0.124814 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.60597 | − | 7.97777i | −0.239453 | − | 0.414745i | ||||
\(371\) | −1.69006 | − | 26.1527i | −0.0877433 | − | 1.35778i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.47554 | + | 4.28776i | −0.128179 | + | 0.222012i | −0.922971 | − | 0.384870i | \(-0.874246\pi\) |
0.794792 | + | 0.606881i | \(0.207580\pi\) | |||||||
\(374\) | −19.2431 | − | 33.3300i | −0.995036 | − | 1.72345i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.0900 | − | 20.9404i | −0.623492 | − | 1.07992i | ||||
\(377\) | 17.5914 | − | 7.43158i | 0.906002 | − | 0.382746i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.33641 | − | 10.9750i | 0.325479 | − | 0.563747i | −0.656130 | − | 0.754648i | \(-0.727808\pi\) |
0.981609 | + | 0.190901i | \(0.0611410\pi\) | |||||||
\(380\) | −6.53189 | −0.335079 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.5598 | + | 20.0222i | −0.591452 | + | 1.02442i | ||||
\(383\) | −11.8951 | + | 20.6029i | −0.607810 | + | 1.05276i | 0.383790 | + | 0.923420i | \(0.374619\pi\) |
−0.991601 | + | 0.129338i | \(0.958715\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.731631 | + | 11.3216i | 0.0372874 | + | 0.577003i | ||||
\(386\) | 22.5688 | + | 39.0903i | 1.14872 | + | 1.98964i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −14.1139 | − | 24.4461i | −0.716527 | − | 1.24106i | ||||
\(389\) | −12.7721 | + | 22.1218i | −0.647569 | + | 1.12162i | 0.336133 | + | 0.941815i | \(0.390881\pi\) |
−0.983702 | + | 0.179808i | \(0.942452\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.04819 | −0.154153 | ||||||||
\(392\) | 12.6080 | − | 30.2812i | 0.636801 | − | 1.52943i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 31.3485 | − | 54.2971i | 1.57931 | − | 2.73545i | ||||
\(395\) | 7.24564 | − | 12.5498i | 0.364568 | − | 0.631450i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.06368 | − | 1.84235i | 0.0533846 | − | 0.0924648i | −0.838098 | − | 0.545519i | \(-0.816332\pi\) |
0.891483 | + | 0.453055i | \(0.149666\pi\) | |||||||
\(398\) | 43.0736 | 2.15908 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 6.20973 | − | 10.7556i | 0.310487 | − | 0.537779i | ||||
\(401\) | −0.587289 | −0.0293278 | −0.0146639 | − | 0.999892i | \(-0.504668\pi\) | ||||
−0.0146639 | + | 0.999892i | \(0.504668\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −33.2031 | + | 14.0269i | −1.65397 | + | 0.698728i | ||||
\(404\) | −3.03362 | − | 5.25439i | −0.150928 | − | 0.261416i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.19969 | + | 34.0391i | 0.109169 | + | 1.68933i | ||||
\(407\) | −5.38265 | − | 9.32302i | −0.266808 | − | 0.462125i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.34455 | −0.214824 | −0.107412 | − | 0.994215i | \(-0.534256\pi\) | ||||
−0.107412 | + | 0.994215i | \(0.534256\pi\) | |||||||
\(410\) | −21.5838 | −1.06595 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.8291 | − | 18.7565i | −0.533510 | − | 0.924066i | ||||
\(413\) | −1.76855 | + | 1.17936i | −0.0870244 | + | 0.0580325i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.78446 | − | 13.4831i | −0.382124 | − | 0.661859i | ||||
\(416\) | 2.05900 | + | 1.55710i | 0.100951 | + | 0.0763430i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −11.5229 | −0.563602 | ||||||||
\(419\) | 4.72818 | − | 8.18946i | 0.230987 | − | 0.400081i | −0.727112 | − | 0.686519i | \(-0.759138\pi\) |
0.958099 | + | 0.286438i | \(0.0924712\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.9569 | −0.582741 | −0.291371 | − | 0.956610i | \(-0.594111\pi\) | ||||
−0.291371 | + | 0.956610i | \(0.594111\pi\) | |||||||
\(422\) | −15.1865 | + | 26.3039i | −0.739269 | + | 1.28045i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 23.2078 | − | 40.1971i | 1.12707 | − | 1.95214i | ||||
\(425\) | −7.90548 | + | 13.6927i | −0.383472 | + | 0.664193i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.793336 | + | 12.2765i | 0.0383922 | + | 0.594100i | ||||
\(428\) | −5.68496 | −0.274793 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −13.4154 | + | 23.2362i | −0.646949 | + | 1.12055i | ||||
\(431\) | −13.2352 | − | 22.9241i | −0.637519 | − | 1.10422i | −0.985975 | − | 0.166891i | \(-0.946627\pi\) |
0.348456 | − | 0.937325i | \(-0.386706\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.13088 | + | 7.15489i | 0.198517 | + | 0.343842i | 0.948048 | − | 0.318128i | \(-0.103054\pi\) |
−0.749531 | + | 0.661970i | \(0.769721\pi\) | |||||||
\(434\) | −4.15184 | − | 64.2476i | −0.199295 | − | 3.08398i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −32.2046 | + | 55.7799i | −1.54232 | + | 2.67137i | ||||
\(437\) | −0.456318 | + | 0.790366i | −0.0218286 | + | 0.0378083i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.1043 | 1.67544 | 0.837719 | − | 0.546102i | \(-0.183889\pi\) | ||||
0.837719 | + | 0.546102i | \(0.183889\pi\) | |||||||
\(440\) | −10.0467 | + | 17.4015i | −0.478960 | + | 0.829582i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 31.6899 | + | 23.9652i | 1.50734 | + | 1.13991i | ||||
\(443\) | −0.192275 | − | 0.333030i | −0.00913525 | − | 0.0158227i | 0.861422 | − | 0.507890i | \(-0.169575\pi\) |
−0.870557 | + | 0.492068i | \(0.836241\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.90592 | + | 3.30115i | 0.0903493 | + | 0.156490i | ||||
\(446\) | −11.3244 | + | 19.6145i | −0.536227 | + | 0.928772i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −19.4912 | + | 12.9977i | −0.920871 | + | 0.614085i | ||||
\(449\) | 18.9728 | + | 32.8619i | 0.895382 | + | 1.55085i | 0.833331 | + | 0.552774i | \(0.186431\pi\) |
0.0620505 | + | 0.998073i | \(0.480236\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −25.2233 | −1.18772 | ||||||||
\(452\) | −21.1188 | − | 36.5788i | −0.993343 | − | 1.72052i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −23.2047 | −1.08905 | ||||||||
\(455\) | −5.24417 | − | 10.4727i | −0.245851 | − | 0.490966i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.3895 | −0.673112 | −0.336556 | − | 0.941663i | \(-0.609262\pi\) | ||||
−0.336556 | + | 0.941663i | \(0.609262\pi\) | |||||||
\(458\) | 7.84825 | + | 13.5936i | 0.366725 | + | 0.635186i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.62242 | + | 2.81012i | 0.0756459 | + | 0.131022i | ||||
\(461\) | −1.79501 | − | 3.10905i | −0.0836019 | − | 0.144803i | 0.821193 | − | 0.570651i | \(-0.193309\pi\) |
−0.904795 | + | 0.425848i | \(0.859976\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.69484 | 0.218188 | 0.109094 | − | 0.994031i | \(-0.465205\pi\) | ||||
0.109094 | + | 0.994031i | \(0.465205\pi\) | |||||||
\(464\) | −9.41710 | + | 16.3109i | −0.437178 | + | 0.757214i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −29.7889 | − | 51.5958i | −1.37994 | − | 2.39013i | ||||
\(467\) | −20.0343 | − | 34.7003i | −0.927075 | − | 1.60574i | −0.788190 | − | 0.615432i | \(-0.788982\pi\) |
−0.138885 | − | 0.990309i | \(-0.544352\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.03150 | + | 2.48700i | 0.232333 | + | 0.114839i | ||||
\(470\) | 7.71083 | − | 13.3556i | 0.355674 | − | 0.616046i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.76484 | −0.173291 | ||||||||
\(473\) | −15.6776 | + | 27.1544i | −0.720856 | + | 1.24856i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.36692 | + | 4.09963i | 0.108602 | + | 0.188104i | ||||
\(476\) | −39.1132 | + | 26.0827i | −1.79275 | + | 1.19550i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.81476 | −0.403178 | ||||||||
\(479\) | 10.2350 | + | 17.7276i | 0.467650 | + | 0.809993i | 0.999317 | − | 0.0369602i | \(-0.0117675\pi\) |
−0.531667 | + | 0.846954i | \(0.678434\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.86425 | + | 6.70352i | 0.404175 | + | 0.305654i | ||||
\(482\) | 61.1696 | 2.78620 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.35094 | + | 4.07195i | −0.106861 | + | 0.185088i | ||||
\(485\) | 4.41492 | − | 7.64687i | 0.200471 | − | 0.347227i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 33.5937 | 1.52228 | 0.761138 | − | 0.648590i | \(-0.224641\pi\) | ||||
0.761138 | + | 0.648590i | \(0.224641\pi\) | |||||||
\(488\) | −10.8941 | + | 18.8691i | −0.493151 | + | 0.854163i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 20.7462 | − | 2.69259i | 0.937218 | − | 0.121639i | ||||
\(491\) | −20.2312 | + | 35.0415i | −0.913021 | + | 1.58140i | −0.103248 | + | 0.994656i | \(0.532923\pi\) |
−0.809773 | + | 0.586743i | \(0.800410\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.9887 | − | 20.7651i | 0.539944 | − | 0.935211i | ||||
\(494\) | 10.9580 | − | 4.62926i | 0.493023 | − | 0.208280i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 17.7745 | − | 30.7863i | 0.798097 | − | 1.38234i | ||||
\(497\) | 11.9916 | + | 5.92729i | 0.537898 | + | 0.265875i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.38204 | − | 4.12581i | −0.106635 | − | 0.184697i | 0.807770 | − | 0.589498i | \(-0.200674\pi\) |
−0.914405 | + | 0.404801i | \(0.867341\pi\) | |||||||
\(500\) | 40.9266 | 1.83029 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.682215 | − | 1.18163i | −0.0304487 | − | 0.0527388i | ||||
\(503\) | 0.350346 | + | 0.606817i | 0.0156212 | + | 0.0270567i | 0.873730 | − | 0.486411i | \(-0.161694\pi\) |
−0.858109 | + | 0.513467i | \(0.828361\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.948935 | − | 1.64360i | 0.0422271 | − | 0.0731394i | ||||
\(506\) | 2.86210 | + | 4.95731i | 0.127236 | + | 0.220379i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 32.3648 | − | 56.0575i | 1.43596 | − | 2.48715i | ||||
\(509\) | −26.8914 | −1.19194 | −0.595970 | − | 0.803007i | \(-0.703232\pi\) | ||||
−0.595970 | + | 0.803007i | \(0.703232\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.06185 | + | 31.9061i | 0.0912111 | + | 1.41144i | ||||
\(512\) | −35.8718 | −1.58533 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 57.8321 | 2.55087 | ||||||||
\(515\) | 3.38739 | − | 5.86714i | 0.149266 | − | 0.258537i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.01107 | − | 15.6076i | 0.396306 | − | 0.686423i | ||||
\(518\) | −16.5155 | + | 11.0134i | −0.725648 | + | 0.483900i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.56325 | − | 20.5846i | 0.112406 | − | 0.902695i | ||||
\(521\) | 15.4700 | − | 26.7948i | 0.677753 | − | 1.17390i | −0.297903 | − | 0.954596i | \(-0.596287\pi\) |
0.975656 | − | 0.219306i | \(-0.0703794\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.70226 | −0.0744347 | −0.0372173 | − | 0.999307i | \(-0.511849\pi\) | ||||
−0.0372173 | + | 0.999307i | \(0.511849\pi\) | |||||||
\(524\) | −13.8230 | − | 23.9421i | −0.603859 | − | 1.04591i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.61105 | − | 14.9148i | −0.375460 | − | 0.650315i | ||||
\(527\) | −22.6283 | + | 39.1933i | −0.985704 | + | 1.70729i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.5466 | −0.980288 | ||||||||
\(530\) | 29.6034 | 1.28589 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.907707 | + | 14.0463i | 0.0393541 | + | 0.608984i | ||||
\(533\) | 23.9868 | − | 10.1334i | 1.03898 | − | 0.438925i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.889144 | − | 1.54004i | −0.0384410 | − | 0.0665818i | ||||
\(536\) | 4.97021 | + | 8.60866i | 0.214681 | + | 0.371838i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 25.2870 | 1.09020 | ||||||||
\(539\) | 24.2445 | − | 3.14662i | 1.04429 | − | 0.135535i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.00845 | + | 1.74668i | 0.0433566 | + | 0.0750958i | 0.886889 | − | 0.461982i | \(-0.152862\pi\) |
−0.843533 | + | 0.537078i | \(0.819528\pi\) | |||||||
\(542\) | −0.298846 | −0.0128365 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.24124 | 0.138967 | ||||||||
\(545\) | −20.1475 | −0.863026 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.08074 | −0.0889658 | −0.0444829 | − | 0.999010i | \(-0.514164\pi\) | ||||
−0.0444829 | + | 0.999010i | \(0.514164\pi\) | |||||||
\(548\) | 75.8373 | 3.23961 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 29.6915 | 1.26605 | ||||||||
\(551\) | −3.58945 | − | 6.21712i | −0.152916 | − | 0.264858i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −27.9942 | − | 13.8372i | −1.19044 | − | 0.588416i | ||||
\(554\) | −13.0762 | −0.555554 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 30.4654 | + | 52.7676i | 1.29202 | + | 2.23784i | ||||
\(557\) | 9.81703 | + | 17.0036i | 0.415961 | + | 0.720465i | 0.995529 | − | 0.0944586i | \(-0.0301120\pi\) |
−0.579568 | + | 0.814924i | \(0.696779\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.99986 | − | 32.1216i | 0.169176 | − | 1.35860i | ||||
\(560\) | 10.3553 | + | 5.11850i | 0.437593 | + | 0.216296i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 36.2314 | 1.52833 | ||||||||
\(563\) | 23.3397 | 0.983652 | 0.491826 | − | 0.870693i | \(-0.336330\pi\) | ||||
0.491826 | + | 0.870693i | \(0.336330\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.60607 | − | 11.4421i | 0.277920 | − | 0.481371i | ||||
\(566\) | −5.45902 | − | 9.45531i | −0.229460 | − | 0.397436i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.8456 | + | 20.5171i | 0.497029 | + | 0.860880i | ||||
\(569\) | 21.6413 | 0.907250 | 0.453625 | − | 0.891193i | \(-0.350131\pi\) | ||||
0.453625 | + | 0.891193i | \(0.350131\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.91282 | + | 6.77720i | −0.163746 | + | 0.283617i | −0.936209 | − | 0.351443i | \(-0.885691\pi\) |
0.772463 | + | 0.635060i | \(0.219025\pi\) | |||||||
\(572\) | 6.10756 | − | 49.0478i | 0.255370 | − | 2.05079i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.99940 | + | 46.4142i | 0.125193 | + | 1.93729i | ||||
\(575\) | 1.17581 | − | 2.03657i | 0.0490349 | − | 0.0849309i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.92244 | − | 10.2580i | 0.246555 | − | 0.427045i | −0.716013 | − | 0.698087i | \(-0.754035\pi\) |
0.962568 | + | 0.271042i | \(0.0873682\pi\) | |||||||
\(578\) | 8.50538 | 0.353777 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −25.5244 | −1.05984 | ||||||||
\(581\) | −27.9125 | + | 18.6135i | −1.15801 | + | 0.772219i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 34.5952 | 1.43279 | ||||||||
\(584\) | −28.3134 | + | 49.0402i | −1.17161 | + | 2.02930i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 26.7794 | + | 46.3833i | 1.10625 | + | 1.91608i | ||||
\(587\) | 2.24869 | − | 3.89484i | 0.0928134 | − | 0.160757i | −0.815881 | − | 0.578220i | \(-0.803747\pi\) |
0.908694 | + | 0.417463i | \(0.137081\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.77497 | + | 11.7346i | 0.279158 | + | 0.483516i | ||||
\(590\) | −1.20058 | − | 2.07947i | −0.0494273 | − | 0.0856106i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −10.9608 | −0.450487 | ||||||||
\(593\) | −17.8835 | − | 30.9751i | −0.734388 | − | 1.27200i | −0.954992 | − | 0.296633i | \(-0.904136\pi\) |
0.220604 | − | 0.975363i | \(-0.429197\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.1832 | − | 6.51626i | −0.540457 | − | 0.267141i | ||||
\(596\) | 34.4094 | − | 59.5988i | 1.40946 | − | 2.44126i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.71337 | − | 3.56445i | −0.192744 | − | 0.145761i | ||||
\(599\) | 9.70429 | − | 16.8083i | 0.396507 | − | 0.686769i | −0.596786 | − | 0.802401i | \(-0.703556\pi\) |
0.993292 | + | 0.115631i | \(0.0368891\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.4135 | + | 35.3571i | −0.832682 | + | 1.44225i | 0.0632213 | + | 0.998000i | \(0.479863\pi\) |
−0.895904 | + | 0.444248i | \(0.853471\pi\) | |||||||
\(602\) | 51.8318 | + | 25.6197i | 2.11251 | + | 1.04418i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −27.5520 | + | 47.7214i | −1.12107 | + | 1.94176i | ||||
\(605\) | −1.47077 | −0.0597955 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.471345 | + | 0.816393i | −0.0191313 | + | 0.0331364i | −0.875433 | − | 0.483340i | \(-0.839423\pi\) |
0.856301 | + | 0.516477i | \(0.172757\pi\) | |||||||
\(608\) | 0.485219 | − | 0.840424i | 0.0196782 | − | 0.0340837i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −13.8962 | −0.562642 | ||||||||
\(611\) | −2.29902 | + | 18.4626i | −0.0930082 | + | 0.746919i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.460547 | − | 0.797690i | −0.0186013 | − | 0.0322184i | 0.856575 | − | 0.516023i | \(-0.172588\pi\) |
−0.875176 | + | 0.483804i | \(0.839255\pi\) | |||||||
\(614\) | 80.3169 | 3.24133 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 38.8166 | + | 19.1865i | 1.56396 | + | 0.773045i | ||||
\(617\) | −12.3732 | − | 21.4311i | −0.498127 | − | 0.862782i | 0.501870 | − | 0.864943i | \(-0.332645\pi\) |
−0.999998 | + | 0.00216105i | \(0.999312\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.0229 | + | 20.8243i | −0.483242 | + | 0.836999i | −0.999815 | − | 0.0192441i | \(-0.993874\pi\) |
0.516573 | + | 0.856243i | \(0.327207\pi\) | |||||||
\(620\) | 48.1764 | 1.93481 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.0173 | + | 17.3504i | −0.401656 | + | 0.695689i | ||||
\(623\) | 6.83400 | − | 4.55727i | 0.273798 | − | 0.182583i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.33033 | − | 4.03626i | −0.0932133 | − | 0.161450i | ||||
\(626\) | 17.3883 | + | 30.1174i | 0.694975 | + | 1.20373i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 22.0704 | − | 38.2271i | 0.880706 | − | 1.52543i | ||||
\(629\) | 13.9540 | 0.556382 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.7428 | − | 25.5353i | −0.586902 | − | 1.01654i | −0.994635 | − | 0.103443i | \(-0.967014\pi\) |
0.407734 | − | 0.913101i | \(-0.366319\pi\) | |||||||
\(632\) | −27.6533 | − | 47.8969i | −1.09999 | − | 1.90523i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.3965 | − | 19.7394i | −0.452615 | − | 0.783952i | ||||
\(635\) | 20.2478 | 0.803510 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.7918 | + | 12.7325i | −0.863423 | + | 0.504480i | ||||
\(638\) | −45.0273 | −1.78265 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −12.3526 | − | 21.3953i | −0.488279 | − | 0.845725i | ||||
\(641\) | −2.18539 | −0.0863178 | −0.0431589 | − | 0.999068i | \(-0.513742\pi\) | ||||
−0.0431589 | + | 0.999068i | \(0.513742\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.19137 | + | 8.99172i | 0.204728 | + | 0.354599i | 0.950046 | − | 0.312110i | \(-0.101036\pi\) |
−0.745318 | + | 0.666709i | \(0.767702\pi\) | |||||||
\(644\) | 5.81747 | − | 3.87940i | 0.229240 | − | 0.152870i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.46798 | − | 12.9349i | 0.293824 | − | 0.508918i | ||||
\(647\) | −6.06580 | − | 10.5063i | −0.238471 | − | 0.413045i | 0.721804 | − | 0.692097i | \(-0.243313\pi\) |
−0.960276 | + | 0.279052i | \(0.909980\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.40303 | − | 2.43012i | −0.0550738 | − | 0.0953907i | ||||
\(650\) | −28.2359 | + | 11.9284i | −1.10750 | + | 0.467872i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.7810 | + | 39.4578i | −0.892171 | + | 1.54529i | ||||
\(653\) | 24.0253 | 0.940183 | 0.470091 | − | 0.882618i | \(-0.344221\pi\) | ||||
0.470091 | + | 0.882618i | \(0.344221\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.32390 | − | 7.48922i | 0.168949 | − | 0.292628i | ||||
\(656\) | −12.8407 | + | 22.2408i | −0.501347 | + | 0.868358i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −29.7916 | − | 14.7255i | −1.16140 | − | 0.574062i | ||||
\(659\) | −10.4678 | − | 18.1307i | −0.407766 | − | 0.706272i | 0.586873 | − | 0.809679i | \(-0.300359\pi\) |
−0.994639 | + | 0.103407i | \(0.967026\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.7390 | + | 18.6005i | 0.417699 | + | 0.723476i | 0.995708 | − | 0.0925549i | \(-0.0295034\pi\) |
−0.578009 | + | 0.816031i | \(0.696170\pi\) | |||||||
\(662\) | 29.7914 | − | 51.6002i | 1.15787 | − | 2.00550i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −59.4194 | −2.30592 | ||||||||
\(665\) | −3.66314 | + | 2.44278i | −0.142051 | + | 0.0947269i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.78313 | + | 3.08847i | −0.0690431 | + | 0.119586i | ||||
\(668\) | −13.5255 | + | 23.4269i | −0.523319 | + | 0.906415i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.16995 | + | 5.49051i | −0.122466 | + | 0.212117i | ||||
\(671\) | −16.2395 | −0.626918 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.483978 | + | 0.838274i | −0.0186560 | + | 0.0323131i | −0.875203 | − | 0.483756i | \(-0.839272\pi\) |
0.856547 | + | 0.516070i | \(0.172605\pi\) | |||||||
\(674\) | −32.0541 | −1.23468 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.8966 | + | 49.0970i | 0.534485 | + | 1.88835i | ||||
\(677\) | 23.4146 | + | 40.5552i | 0.899895 | + | 1.55866i | 0.827626 | + | 0.561279i | \(0.189691\pi\) |
0.0722691 | + | 0.997385i | \(0.476976\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.0575 | − | 8.43128i | −0.654606 | − | 0.323563i | ||||
\(680\) | −13.0226 | − | 22.5558i | −0.499394 | − | 0.864976i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 84.9876 | 3.25434 | ||||||||
\(683\) | −17.8803 | −0.684170 | −0.342085 | − | 0.939669i | \(-0.611133\pi\) | ||||
−0.342085 | + | 0.939669i | \(0.611133\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.8612 | + | 20.5442i | 0.453192 | + | 0.784952i | ||||
\(686\) | −8.67319 | − | 44.2388i | −0.331144 | − | 1.68905i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 15.9623 | + | 27.6476i | 0.608558 | + | 1.05405i | ||||
\(689\) | −32.8992 | + | 13.8985i | −1.25336 | + | 0.529490i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −33.2164 | −1.26361 | −0.631806 | − | 0.775127i | \(-0.717686\pi\) | ||||
−0.631806 | + | 0.775127i | \(0.717686\pi\) | |||||||
\(692\) | −31.0837 | + | 53.8386i | −1.18163 | + | 2.04664i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −35.7170 | −1.35580 | ||||||||
\(695\) | −9.52974 | + | 16.5060i | −0.361484 | + | 0.626108i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.3473 | − | 28.3143i | 0.619197 | − | 1.07248i | ||||
\(698\) | 29.6230 | − | 51.3085i | 1.12125 | − | 1.94206i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.33893 | − | 36.1937i | −0.0884032 | − | 1.36799i | ||||
\(701\) | −29.1267 | −1.10010 | −0.550050 | − | 0.835132i | \(-0.685391\pi\) | ||||
−0.550050 | + | 0.835132i | \(0.685391\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.08893 | − | 3.61814i | 0.0787856 | − | 0.136461i | ||||
\(704\) | −15.4628 | − | 26.7824i | −0.582778 | − | 1.00940i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.814982 | − | 1.41159i | −0.0306723 | − | 0.0531259i | ||||
\(707\) | −3.66630 | − | 1.81220i | −0.137886 | − | 0.0681549i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.70074 | + | 9.87397i | −0.214096 | + | 0.370825i | −0.952992 | − | 0.302994i | \(-0.902014\pi\) |
0.738897 | + | 0.673819i | \(0.235347\pi\) | |||||||
\(710\) | −7.55497 | + | 13.0856i | −0.283533 | + | 0.491093i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.5480 | 0.545211 | ||||||||
\(713\) | 3.36560 | − | 5.82939i | 0.126043 | − | 0.218312i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.2422 | − | 6.01670i | 0.532628 | − | 0.225012i | ||||
\(716\) | 41.4154 | + | 71.7336i | 1.54777 | + | 2.68081i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −43.3632 | − | 75.1073i | −1.61830 | − | 2.80298i | ||||
\(719\) | −18.1259 | + | 31.3949i | −0.675980 | + | 1.17083i | 0.300201 | + | 0.953876i | \(0.402946\pi\) |
−0.976181 | + | 0.216956i | \(0.930387\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.0875 | − | 6.46898i | −0.487405 | − | 0.240917i | ||||
\(722\) | 20.8884 | + | 36.1798i | 0.777387 | + | 1.34647i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 59.1446 | 2.19809 | ||||||||
\(725\) | 9.24911 | + | 16.0199i | 0.343503 | + | 0.594965i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.46075 | 0.165440 | 0.0827200 | − | 0.996573i | \(-0.473639\pi\) | ||||
0.0827200 | + | 0.996573i | \(0.473639\pi\) | |||||||
\(728\) | −44.6217 | − | 2.65151i | −1.65379 | − | 0.0982714i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −36.1159 | −1.33671 | ||||||||
\(731\) | −20.3213 | − | 35.1975i | −0.751611 | − | 1.30183i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.24983 | + | 9.09297i | 0.193907 | + | 0.335856i | 0.946542 | − | 0.322582i | \(-0.104551\pi\) |
−0.752635 | + | 0.658438i | \(0.771217\pi\) | |||||||
\(734\) | −12.4413 | − | 21.5490i | −0.459218 | − | 0.795390i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.482084 | −0.0177698 | ||||||||
\(737\) | −3.70448 | + | 6.41634i | −0.136456 | + | 0.236349i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.32461 | + | 4.02635i | 0.0855123 | + | 0.148112i | 0.905609 | − | 0.424113i | \(-0.139414\pi\) |
−0.820097 | + | 0.572224i | \(0.806081\pi\) | |||||||
\(740\) | −7.42713 | − | 12.8642i | −0.273027 | − | 0.472896i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.11384 | − | 63.6596i | −0.151024 | − | 2.33702i | ||||
\(743\) | −9.95236 | + | 17.2380i | −0.365117 | + | 0.632400i | −0.988795 | − | 0.149281i | \(-0.952304\pi\) |
0.623678 | + | 0.781681i | \(0.285638\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.5269 | 0.788686 | ||||||||
\(746\) | −6.02582 | + | 10.4370i | −0.220621 | + | 0.382127i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −31.0295 | − | 53.7447i | −1.13455 | − | 1.96510i | ||||
\(749\) | −3.18817 | + | 2.12604i | −0.116493 | + | 0.0776839i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.9901 | −1.53224 | −0.766120 | − | 0.642697i | \(-0.777815\pi\) | ||||
−0.766120 | + | 0.642697i | \(0.777815\pi\) | |||||||
\(752\) | −9.17474 | − | 15.8911i | −0.334568 | − | 0.579489i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 42.8199 | − | 18.0895i | 1.55941 | − | 0.658782i | ||||
\(755\) | −17.2368 | −0.627313 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.8795 | − | 37.8965i | 0.795225 | − | 1.37737i | −0.127471 | − | 0.991842i | \(-0.540686\pi\) |
0.922696 | − | 0.385528i | \(-0.125981\pi\) | |||||||
\(758\) | 15.4237 | − | 26.7147i | 0.560215 | − | 0.970321i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.79801 | −0.282864 | ||||||||
\(761\) | 6.01947 | − | 10.4260i | 0.218206 | − | 0.377943i | −0.736054 | − | 0.676923i | \(-0.763313\pi\) |
0.954259 | + | 0.298980i | \(0.0966463\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.79981 | + | 43.3256i | 0.101360 | + | 1.56849i | ||||
\(764\) | −18.6402 | + | 32.2858i | −0.674380 | + | 1.16806i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.9544 | + | 50.1504i | −1.04616 | + | 1.81201i | ||||
\(767\) | 2.31054 | + | 1.74733i | 0.0834289 | + | 0.0630924i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.1918 | − | 22.8489i | 0.475708 | − | 0.823951i | −0.523905 | − | 0.851777i | \(-0.675525\pi\) |
0.999613 | + | 0.0278261i | \(0.00885848\pi\) | |||||||
\(770\) | 1.78090 | + | 27.5584i | 0.0641790 | + | 0.993137i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 36.3922 | + | 63.0331i | 1.30978 | + | 2.26861i | ||||
\(773\) | 9.88877 | 0.355674 | 0.177837 | − | 0.984060i | \(-0.443090\pi\) | ||||
0.177837 | + | 0.984060i | \(0.443090\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17.4574 | − | 30.2371i | −0.627088 | − | 1.08615i | ||||
\(776\) | −16.8497 | − | 29.1846i | −0.604870 | − | 1.04767i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −31.0890 | + | 53.8478i | −1.11460 | + | 1.93054i | ||||
\(779\) | −4.89442 | − | 8.47738i | −0.175361 | − | 0.303734i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.82892 | + | 15.2921i | −0.315924 | + | 0.547196i | ||||
\(782\) | −7.41973 | −0.265329 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.56788 | − | 22.9796i | 0.341710 | − | 0.820700i | ||||
\(785\) | 13.8075 | 0.492811 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.4666 | −1.37119 | −0.685593 | − | 0.727985i | \(-0.740457\pi\) | ||||
−0.685593 | + | 0.727985i | \(0.740457\pi\) | |||||||
\(788\) | 50.5495 | − | 87.5542i | 1.80075 | − | 3.11899i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 17.6369 | − | 30.5481i | 0.627494 | − | 1.08685i | ||||
\(791\) | −25.5232 | − | 12.6158i | −0.907501 | − | 0.448565i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.4434 | − | 6.52414i | 0.548410 | − | 0.231679i | ||||
\(794\) | 2.58915 | − | 4.48454i | 0.0918856 | − | 0.159151i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 69.4562 | 2.46181 | ||||||||
\(797\) | −4.91617 | − | 8.51506i | −0.174140 | − | 0.301619i | 0.765723 | − | 0.643170i | \(-0.222381\pi\) |
−0.939863 | + | 0.341551i | \(0.889048\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.6802 | + | 20.2306i | 0.413214 | + | 0.715709i | ||||
\(800\) | −1.25029 | + | 2.16556i | −0.0442043 | + | 0.0765640i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.42955 | −0.0504790 | ||||||||
\(803\) | −42.2059 | −1.48941 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.96079 | + | 0.969190i | 0.0691087 | + | 0.0341595i | ||||
\(806\) | −80.8212 | + | 34.1434i | −2.84681 | + | 1.20265i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.62165 | − | 6.27288i | −0.127409 | − | 0.220679i | ||||
\(809\) | −10.6278 | − | 18.4078i | −0.373653 | − | 0.647185i | 0.616472 | − | 0.787377i | \(-0.288561\pi\) |
−0.990124 | + | 0.140192i | \(0.955228\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 35.9695 | 1.26306 | 0.631531 | − | 0.775351i | \(-0.282427\pi\) | ||||
0.631531 | + | 0.775351i | \(0.282427\pi\) | |||||||
\(812\) | 3.54700 | + | 54.8880i | 0.124475 | + | 1.92619i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −13.1021 | − | 22.6936i | −0.459230 | − | 0.795409i | ||||
\(815\) | −14.2520 | −0.499227 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.1685 | −0.425723 | ||||||||
\(818\) | −10.5753 | −0.369756 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −34.8039 | −1.21540 | ||||||||
\(821\) | −36.8113 | −1.28472 | −0.642362 | − | 0.766401i | \(-0.722045\pi\) | ||||
−0.642362 | + | 0.766401i | \(0.722045\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −37.6324 | −1.31178 | −0.655892 | − | 0.754855i | \(-0.727707\pi\) | ||||
−0.655892 | + | 0.754855i | \(0.727707\pi\) | |||||||
\(824\) | −12.9281 | − | 22.3922i | −0.450373 | − | 0.780068i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.30490 | + | 2.87073i | −0.149787 | + | 0.0998856i | ||||
\(827\) | 28.9693 | 1.00736 | 0.503681 | − | 0.863890i | \(-0.331979\pi\) | ||||
0.503681 | + | 0.863890i | \(0.331979\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.43056 | − | 7.67395i | −0.153880 | − | 0.266527i | 0.778771 | − | 0.627308i | \(-0.215843\pi\) |
−0.932650 | + | 0.360781i | \(0.882510\pi\) | |||||||
\(830\) | −18.9485 | − | 32.8198i | −0.657713 | − | 1.13919i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 25.4645 | + | 19.2573i | 0.882824 | + | 0.667628i | ||||
\(833\) | −12.1807 | + | 29.2549i | −0.422035 | + | 1.01362i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.46174 | −0.292831 | ||||||||
\(836\) | −18.5806 | −0.642625 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.5091 | − | 19.9343i | 0.397575 | − | 0.688620i | ||||
\(839\) | −15.9655 | − | 27.6530i | −0.551190 | − | 0.954689i | −0.998189 | − | 0.0601547i | \(-0.980841\pi\) |
0.446999 | − | 0.894534i | \(-0.352493\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.473666 | + | 0.820413i | 0.0163333 | + | 0.0282901i | ||||
\(842\) | −29.1047 | −1.00301 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −24.4883 | + | 42.4150i | −0.842922 | + | 1.45998i | ||||
\(845\) | −11.1268 | + | 11.4435i | −0.382774 | + | 0.393668i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.204387 | + | 3.16278i | 0.00702281 | + | 0.108674i | ||||
\(848\) | 17.6118 | − | 30.5045i | 0.604791 | − | 1.04753i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −19.2431 | + | 33.3300i | −0.660032 | + | 1.14321i | ||||
\(851\) | −2.07544 | −0.0711450 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.62395 | 0.192560 | 0.0962801 | − | 0.995354i | \(-0.469306\pi\) | ||||
0.0962801 | + | 0.995354i | \(0.469306\pi\) | |||||||
\(854\) | 1.93109 | + | 29.8827i | 0.0660807 | + | 1.02256i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.78691 | −0.231972 | ||||||||
\(857\) | −23.8452 | + | 41.3011i | −0.814537 | + | 1.41082i | 0.0951229 | + | 0.995466i | \(0.469676\pi\) |
−0.909660 | + | 0.415354i | \(0.863658\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.8420 | − | 43.0276i | −0.847598 | − | 1.46808i | −0.883345 | − | 0.468723i | \(-0.844714\pi\) |
0.0357469 | − | 0.999361i | \(-0.488619\pi\) | |||||||
\(860\) | −21.6324 | + | 37.4684i | −0.737658 | + | 1.27766i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −32.2165 | − | 55.8006i | −1.09730 | − | 1.90058i | ||||
\(863\) | −11.4553 | − | 19.8412i | −0.389944 | − | 0.675402i | 0.602498 | − | 0.798121i | \(-0.294172\pi\) |
−0.992442 | + | 0.122718i | \(0.960839\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −19.4463 | −0.661195 | ||||||||
\(866\) | 10.0552 | + | 17.4160i | 0.341688 | + | 0.591821i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.69485 | − | 103.599i | −0.227238 | − | 3.51639i | ||||
\(869\) | 20.6109 | − | 35.6992i | 0.699179 | − | 1.21101i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.945132 | − | 7.59005i | 0.0320246 | − | 0.257179i | ||||
\(872\) | −38.4470 | + | 66.5921i | −1.30198 | + | 2.25509i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.11074 | + | 1.92387i | −0.0375715 | + | 0.0650757i | ||||
\(875\) | 22.9520 | − | 15.3056i | 0.775920 | − | 0.517424i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.1524 | − | 27.9767i | 0.545427 | − | 0.944707i | −0.453153 | − | 0.891433i | \(-0.649701\pi\) |
0.998580 | − | 0.0532742i | \(-0.0169657\pi\) | |||||||
\(878\) | 85.4490 | 2.88376 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.62420 | + | 13.2055i | −0.257012 | + | 0.445157i | ||||
\(881\) | −18.8690 | + | 32.6821i | −0.635714 | + | 1.10109i | 0.350650 | + | 0.936507i | \(0.385961\pi\) |
−0.986363 | + | 0.164582i | \(0.947373\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −34.3867 | −1.15720 | −0.578602 | − | 0.815610i | \(-0.696401\pi\) | ||||
−0.578602 | + | 0.815610i | \(0.696401\pi\) | |||||||
\(884\) | 51.1000 | + | 38.6439i | 1.71868 | + | 1.29974i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.468025 | − | 0.810643i | −0.0157236 | − | 0.0272341i | ||||
\(887\) | −23.6793 | −0.795073 | −0.397536 | − | 0.917586i | \(-0.630135\pi\) | ||||
−0.397536 | + | 0.917586i | \(0.630135\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.81374 | − | 43.5412i | −0.0943699 | − | 1.46033i | ||||
\(890\) | 4.63929 | + | 8.03548i | 0.155509 | + | 0.269350i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −18.2606 | + | 31.6284i | −0.611412 | + | 1.05900i | ||||
\(893\) | 6.99415 | 0.234050 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.9550 | + | 22.4387i | −0.433037 | + | 0.750043i | ||||
\(896\) | −44.2923 | + | 29.5365i | −1.47970 | + | 0.986744i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 46.1825 | + | 79.9905i | 1.54113 | + | 2.66932i | ||||
\(899\) | 26.4742 | + | 45.8547i | 0.882965 | + | 1.52934i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.4212 | + | 38.8346i | −0.746958 | + | 1.29377i | ||||
\(902\) | −61.3973 | −2.04431 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −25.2123 | − | 43.6691i | −0.838550 | − | 1.45241i | ||||
\(905\) | 9.25039 | + | 16.0221i | 0.307493 | + | 0.532594i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.63367 | + | 8.02574i | 0.153858 | + | 0.266490i | 0.932643 | − | 0.360801i | \(-0.117497\pi\) |
−0.778784 | + | 0.627292i | \(0.784163\pi\) | |||||||
\(908\) | −37.4177 | −1.24175 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −12.7651 | − | 25.4920i | −0.423158 | − | 0.845050i | ||||
\(911\) | 10.2739 | 0.340390 | 0.170195 | − | 0.985410i | \(-0.445560\pi\) | ||||
0.170195 | + | 0.985410i | \(0.445560\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −22.1437 | − | 38.3540i | −0.732849 | − | 1.26933i | ||||
\(914\) | −35.0261 | −1.15856 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 12.6553 | + | 21.9196i | 0.418143 | + | 0.724245i | ||||
\(917\) | −16.7058 | − | 8.25745i | −0.551675 | − | 0.272685i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.31603 | − | 4.01148i | 0.0763987 | − | 0.132326i | −0.825295 | − | 0.564702i | \(-0.808991\pi\) |
0.901694 | + | 0.432375i | \(0.142324\pi\) | |||||||
\(920\) | 1.93691 | + | 3.35482i | 0.0638579 | + | 0.110605i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.36931 | − | 7.56787i | −0.143896 | − | 0.249235i | ||||
\(923\) | 2.25254 | − | 18.0894i | 0.0741434 | − | 0.595421i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.38265 | + | 9.32302i | −0.176980 | + | 0.306539i | ||||
\(926\) | 11.4279 | 0.375545 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.89607 | − | 3.28408i | 0.0622414 | − | 0.107805i | ||||
\(929\) | 1.54518 | − | 2.67633i | 0.0506958 | − | 0.0878076i | −0.839564 | − | 0.543261i | \(-0.817189\pi\) |
0.890260 | + | 0.455453i | \(0.150523\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.76204 | + | 7.53783i | 0.188843 | + | 0.247042i | ||||
\(932\) | −48.0346 | − | 83.1983i | −1.57342 | − | 2.72525i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −48.7663 | − | 84.4657i | −1.59568 | − | 2.76380i | ||||
\(935\) | 9.70621 | − | 16.8116i | 0.317427 | − | 0.549800i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −41.8382 | −1.36680 | −0.683398 | − | 0.730046i | \(-0.739498\pi\) | ||||
−0.683398 | + | 0.730046i | \(0.739498\pi\) | |||||||
\(938\) | 12.2474 | + | 6.05372i | 0.399892 | + | 0.197661i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 12.4337 | − | 21.5358i | 0.405543 | − | 0.702422i | ||||
\(941\) | 18.9382 | − | 32.8019i | 0.617368 | − | 1.06931i | −0.372596 | − | 0.927994i | \(-0.621532\pi\) |
0.989964 | − | 0.141319i | \(-0.0451344\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.43140 | + | 4.21131i | −0.0791772 | + | 0.137139i | ||||
\(944\) | −2.85703 | −0.0929885 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −38.1615 | + | 66.0977i | −1.24074 | + | 2.14902i | ||||
\(947\) | 0.781555 | 0.0253971 | 0.0126986 | − | 0.999919i | \(-0.495958\pi\) | ||||
0.0126986 | + | 0.999919i | \(0.495958\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 40.1368 | − | 16.9560i | 1.30290 | − | 0.550416i | ||||
\(950\) | 5.76143 | + | 9.97909i | 0.186926 | + | 0.323765i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −46.6947 | + | 31.1385i | −1.51338 | + | 1.00921i | ||||
\(953\) | −14.6233 | − | 25.3283i | −0.473695 | − | 0.820463i | 0.525852 | − | 0.850576i | \(-0.323747\pi\) |
−0.999547 | + | 0.0301129i | \(0.990413\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.6615 | −0.377359 | ||||||||
\(956\) | −14.2138 | −0.459708 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.9135 | + | 43.1515i | 0.804919 | + | 1.39416i | ||||
\(959\) | 42.5302 | − | 28.3614i | 1.37337 | − | 0.915837i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −34.4692 | − | 59.7025i | −1.11191 | − | 1.92589i | ||||
\(962\) | 21.5769 | + | 16.3173i | 0.695666 | + | 0.526092i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 98.6361 | 3.17686 | ||||||||
\(965\) | −11.3837 | + | 19.7171i | −0.366454 | + | 0.634717i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −30.4010 | −0.977631 | −0.488816 | − | 0.872387i | \(-0.662571\pi\) | ||||
−0.488816 | + | 0.872387i | \(0.662571\pi\) | |||||||
\(968\) | −2.80663 | + | 4.86123i | −0.0902087 | + | 0.156246i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.7466 | − | 18.6136i | 0.345051 | − | 0.597647i | ||||
\(971\) | 4.45931 | − | 7.72376i | 0.143106 | − | 0.247867i | −0.785559 | − | 0.618787i | \(-0.787624\pi\) |
0.928665 | + | 0.370920i | \(0.120958\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 36.8191 | + | 18.1992i | 1.18037 | + | 0.583438i | ||||
\(974\) | 81.7719 | 2.62014 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.26721 | + | 14.3192i | −0.264627 | + | 0.458348i | ||||
\(977\) | 11.8031 | + | 20.4436i | 0.377615 | + | 0.654048i | 0.990715 | − | 0.135957i | \(-0.0434111\pi\) |
−0.613100 | + | 0.790005i | \(0.710078\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.42158 | + | 9.39046i | 0.173275 | + | 0.300120i | ||||
\(980\) | 33.4533 | − | 4.34180i | 1.06863 | − | 0.138694i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −49.2457 | + | 85.2960i | −1.57149 | + | 2.72190i | ||||
\(983\) | 10.1644 | − | 17.6053i | 0.324195 | − | 0.561523i | −0.657154 | − | 0.753756i | \(-0.728240\pi\) |
0.981349 | + | 0.192234i | \(0.0615732\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.6243 | 1.00763 | ||||||||
\(986\) | 29.1823 | − | 50.5452i | 0.929353 | − | 1.60969i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 17.6698 | − | 7.46469i | 0.562150 | − | 0.237484i | ||||
\(989\) | 3.02247 | + | 5.23508i | 0.0961091 | + | 0.166466i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 22.6402 | + | 39.2140i | 0.719190 | + | 1.24567i | 0.961321 | + | 0.275430i | \(0.0888204\pi\) |
−0.242131 | + | 0.970244i | \(0.577846\pi\) | |||||||
\(992\) | −3.57876 | + | 6.19860i | −0.113626 | + | 0.196806i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 29.1894 | + | 14.4279i | 0.925830 | + | 0.457625i | ||||
\(995\) | 10.8632 | + | 18.8155i | 0.344385 | + | 0.596493i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.3021 | −0.611303 | −0.305652 | − | 0.952143i | \(-0.598874\pi\) | ||||
−0.305652 | + | 0.952143i | \(0.598874\pi\) | |||||||
\(998\) | −5.79823 | − | 10.0428i | −0.183540 | − | 0.317900i | ||||
\(999\) | 0 | 0 |
(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 | 819.2.s.e.802.8 | 16 | ||
3.2 | odd | 2 | 273.2.l.b.256.1 | yes | 16 | ||
7.2 | even | 3 | 819.2.n.e.100.1 | 16 | |||
13.3 | even | 3 | 819.2.n.e.172.1 | 16 | |||
21.2 | odd | 6 | 273.2.j.b.100.8 | ✓ | 16 | ||
39.29 | odd | 6 | 273.2.j.b.172.8 | yes | 16 | ||
91.16 | even | 3 | inner | 819.2.s.e.289.8 | 16 | ||
273.107 | odd | 6 | 273.2.l.b.16.1 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.j.b.100.8 | ✓ | 16 | 21.2 | odd | 6 | ||
273.2.j.b.172.8 | yes | 16 | 39.29 | odd | 6 | ||
273.2.l.b.16.1 | yes | 16 | 273.107 | odd | 6 | ||
273.2.l.b.256.1 | yes | 16 | 3.2 | odd | 2 | ||
819.2.n.e.100.1 | 16 | 7.2 | even | 3 | |||
819.2.n.e.172.1 | 16 | 13.3 | even | 3 | |||
819.2.s.e.289.8 | 16 | 91.16 | even | 3 | inner | ||
819.2.s.e.802.8 | 16 | 1.1 | even | 1 | trivial |