Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,3,Mod(35,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 20]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.35");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.k (of order \(22\), degree \(10\), 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: | \(11.2806829445\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 35.6 | ||
Character | \(\chi\) | \(=\) | 414.35 |
Dual form | 414.3.k.b.71.6 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.764582 | + | 1.18971i | 0.382291 | + | 0.594856i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.830830 | + | 1.81926i | −0.207708 | + | 0.454816i | ||||
\(5\) | −0.404235 | − | 1.37670i | −0.0808470 | − | 0.275340i | 0.909142 | − | 0.416487i | \(-0.136739\pi\) |
−0.989989 | + | 0.141148i | \(0.954921\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.64257 | − | 1.89563i | −0.234653 | − | 0.270804i | 0.626195 | − | 0.779667i | \(-0.284612\pi\) |
−0.860848 | + | 0.508863i | \(0.830066\pi\) | |||||||
\(8\) | −2.79964 | + | 0.402527i | −0.349955 | + | 0.0503159i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.32880 | − | 1.53352i | 0.132880 | − | 0.153352i | ||||
\(11\) | −5.25149 | + | 8.17148i | −0.477409 | + | 0.742862i | −0.993520 | − | 0.113659i | \(-0.963743\pi\) |
0.516111 | + | 0.856522i | \(0.327379\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −7.25236 | + | 8.36967i | −0.557874 | + | 0.643821i | −0.962699 | − | 0.270573i | \(-0.912787\pi\) |
0.404826 | + | 0.914394i | \(0.367332\pi\) | |||||||
\(14\) | 0.999372 | − | 3.40355i | 0.0713837 | − | 0.243111i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.61944 | − | 3.02300i | −0.163715 | − | 0.188937i | ||||
\(17\) | −13.6824 | + | 6.24852i | −0.804844 | + | 0.367560i | −0.774973 | − | 0.631994i | \(-0.782237\pi\) |
−0.0298707 | + | 0.999554i | \(0.509510\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.06198 | + | 11.0842i | −0.266420 | + | 0.583378i | −0.994806 | − | 0.101789i | \(-0.967543\pi\) |
0.728386 | + | 0.685167i | \(0.240271\pi\) | |||||||
\(20\) | 2.84043 | + | 0.408392i | 0.142021 | + | 0.0204196i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −13.7369 | −0.624405 | ||||||||
\(23\) | −10.9611 | + | 20.2202i | −0.476568 | + | 0.879138i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 19.2994 | − | 12.4030i | 0.771978 | − | 0.496120i | ||||
\(26\) | −15.5025 | − | 2.22893i | −0.596251 | − | 0.0857279i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.81335 | − | 1.41333i | 0.171905 | − | 0.0504759i | ||||
\(29\) | −47.2529 | + | 21.5797i | −1.62941 | + | 0.744127i | −0.999471 | − | 0.0325173i | \(-0.989648\pi\) |
−0.629939 | + | 0.776644i | \(0.716920\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.03516 | − | 7.19967i | −0.0333921 | − | 0.232247i | 0.966290 | − | 0.257456i | \(-0.0828842\pi\) |
−0.999682 | + | 0.0252084i | \(0.991975\pi\) | |||||||
\(32\) | 1.59372 | − | 5.42771i | 0.0498038 | − | 0.169616i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −17.8952 | − | 11.5006i | −0.526330 | − | 0.338252i | ||||
\(35\) | −1.94572 | + | 3.02760i | −0.0555921 | + | 0.0865030i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.01096 | − | 0.884098i | −0.0813774 | − | 0.0238946i | 0.240790 | − | 0.970577i | \(-0.422593\pi\) |
−0.322168 | + | 0.946683i | \(0.604412\pi\) | |||||||
\(38\) | −17.0573 | + | 2.45247i | −0.448876 | + | 0.0645386i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.68587 | + | 3.69154i | 0.0421468 | + | 0.0922885i | ||||
\(41\) | 2.24129 | + | 7.63313i | 0.0546656 | + | 0.186174i | 0.982300 | − | 0.187317i | \(-0.0599790\pi\) |
−0.927634 | + | 0.373491i | \(0.878161\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.87432 | − | 40.8568i | 0.136612 | − | 0.950159i | −0.800052 | − | 0.599930i | \(-0.795195\pi\) |
0.936664 | − | 0.350228i | \(-0.113896\pi\) | |||||||
\(44\) | −10.5030 | − | 16.3430i | −0.238704 | − | 0.371431i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −32.4368 | + | 2.41945i | −0.705148 | + | 0.0525967i | ||||
\(47\) | 2.35511i | 0.0501088i | 0.999686 | + | 0.0250544i | \(0.00797590\pi\) | ||||
−0.999686 | + | 0.0250544i | \(0.992024\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.07806 | − | 42.2738i | 0.124042 | − | 0.862731i | ||||
\(50\) | 29.5120 | + | 13.4777i | 0.590240 | + | 0.269554i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.20116 | − | 20.1477i | −0.176945 | − | 0.387456i | ||||
\(53\) | −23.7885 | + | 20.6128i | −0.448839 | + | 0.388921i | −0.849742 | − | 0.527199i | \(-0.823242\pi\) |
0.400902 | + | 0.916121i | \(0.368697\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.3725 | + | 3.92652i | 0.243136 | + | 0.0713913i | ||||
\(56\) | 5.36165 | + | 4.64589i | 0.0957437 | + | 0.0829624i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −61.8023 | − | 39.7179i | −1.06556 | − | 0.684792i | ||||
\(59\) | 10.3021 | + | 8.92680i | 0.174612 | + | 0.151302i | 0.737782 | − | 0.675039i | \(-0.235873\pi\) |
−0.563171 | + | 0.826341i | \(0.690419\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.14418 | + | 49.6889i | 0.117118 | + | 0.814572i | 0.960703 | + | 0.277577i | \(0.0895314\pi\) |
−0.843586 | + | 0.536995i | \(0.819560\pi\) | |||||||
\(62\) | 7.77407 | − | 6.73627i | 0.125388 | − | 0.108650i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.67594 | − | 2.25386i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 14.4542 | + | 6.60100i | 0.222372 | + | 0.101554i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.0190 | + | 7.72413i | −0.179388 | + | 0.115286i | −0.627253 | − | 0.778816i | \(-0.715821\pi\) |
0.447865 | + | 0.894101i | \(0.352184\pi\) | |||||||
\(68\) | − | 30.0833i | − | 0.442401i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.08964 | −0.0727092 | ||||||||
\(71\) | 35.7687 | + | 55.6572i | 0.503785 | + | 0.783904i | 0.996259 | − | 0.0864229i | \(-0.0275436\pi\) |
−0.492474 | + | 0.870327i | \(0.663907\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.40508 | + | 9.64578i | −0.0603436 | + | 0.132134i | −0.937401 | − | 0.348251i | \(-0.886776\pi\) |
0.877058 | + | 0.480385i | \(0.159503\pi\) | |||||||
\(74\) | −1.25030 | − | 4.25814i | −0.0168960 | − | 0.0575425i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −15.9594 | − | 18.4182i | −0.209992 | − | 0.242344i | ||||
\(77\) | 24.1160 | − | 3.46736i | 0.313195 | − | 0.0450307i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 69.3272 | − | 80.0078i | 0.877559 | − | 1.01276i | −0.122235 | − | 0.992501i | \(-0.539006\pi\) |
0.999795 | − | 0.0202564i | \(-0.00644826\pi\) | |||||||
\(80\) | −3.10289 | + | 4.82818i | −0.0387861 | + | 0.0603523i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.36758 | + | 8.50264i | −0.0898486 | + | 0.103691i | ||||
\(83\) | −14.9238 | + | 50.8257i | −0.179804 | + | 0.612358i | 0.819428 | + | 0.573182i | \(0.194291\pi\) |
−0.999232 | + | 0.0391755i | \(0.987527\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 14.1332 | + | 16.3106i | 0.166273 | + | 0.191889i | ||||
\(86\) | 53.0993 | − | 24.2496i | 0.617433 | − | 0.281972i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 11.4130 | − | 24.9911i | 0.129694 | − | 0.283989i | ||||
\(89\) | −43.0814 | − | 6.19417i | −0.484060 | − | 0.0695974i | −0.104035 | − | 0.994574i | \(-0.533176\pi\) |
−0.380025 | + | 0.924976i | \(0.624085\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 27.7783 | 0.305256 | ||||||||
\(92\) | −27.6790 | − | 36.7406i | −0.300859 | − | 0.399354i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.80191 | + | 1.80068i | −0.0298075 | + | 0.0191561i | ||||
\(95\) | 17.3058 | + | 2.48820i | 0.182166 | + | 0.0261916i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −87.4033 | + | 25.6639i | −0.901065 | + | 0.264577i | −0.699275 | − | 0.714852i | \(-0.746494\pi\) |
−0.201790 | + | 0.979429i | \(0.564676\pi\) | |||||||
\(98\) | 54.9409 | − | 25.0907i | 0.560621 | − | 0.256027i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.52977 | + | 45.4156i | 0.0652977 | + | 0.454156i | ||||
\(101\) | 51.3919 | − | 175.025i | 0.508831 | − | 1.73292i | −0.157744 | − | 0.987480i | \(-0.550422\pi\) |
0.666574 | − | 0.745438i | \(-0.267760\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 104.120 | + | 66.9139i | 1.01087 | + | 0.649649i | 0.937619 | − | 0.347664i | \(-0.113025\pi\) |
0.0732546 | + | 0.997313i | \(0.476661\pi\) | |||||||
\(104\) | 16.9350 | − | 26.3513i | 0.162836 | − | 0.253378i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −42.7116 | − | 12.5412i | −0.402939 | − | 0.118314i | ||||
\(107\) | −3.58386 | + | 0.515281i | −0.0334940 | + | 0.00481571i | −0.159041 | − | 0.987272i | \(-0.550840\pi\) |
0.125547 | + | 0.992088i | \(0.459931\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 45.1666 | + | 98.9010i | 0.414372 | + | 0.907349i | 0.995609 | + | 0.0936141i | \(0.0298420\pi\) |
−0.581236 | + | 0.813735i | \(0.697431\pi\) | |||||||
\(110\) | 5.55294 | + | 18.9116i | 0.0504813 | + | 0.171923i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.42786 | + | 9.93098i | −0.0127487 | + | 0.0886695i | ||||
\(113\) | 58.7412 | + | 91.4030i | 0.519833 | + | 0.808876i | 0.997573 | − | 0.0696249i | \(-0.0221802\pi\) |
−0.477740 | + | 0.878501i | \(0.658544\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 32.2679 | + | 6.91638i | 0.280591 | + | 0.0601425i | ||||
\(116\) | − | 103.895i | − | 0.895643i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.74355 | + | 19.0818i | −0.0232504 | + | 0.161710i | ||||
\(119\) | 34.3191 | + | 15.6730i | 0.288396 | + | 0.131706i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.0703 | + | 24.2405i | 0.0914897 | + | 0.200335i | ||||
\(122\) | −53.6532 | + | 46.4907i | −0.439780 | + | 0.381071i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 13.9581 | + | 4.09848i | 0.112566 | + | 0.0330522i | ||||
\(125\) | −51.9858 | − | 45.0459i | −0.415886 | − | 0.360368i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 87.9935 | + | 56.5500i | 0.692863 | + | 0.445276i | 0.839102 | − | 0.543973i | \(-0.183081\pi\) |
−0.146240 | + | 0.989249i | \(0.546717\pi\) | |||||||
\(128\) | 8.55033 | + | 7.40890i | 0.0667995 | + | 0.0578821i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.19810 | + | 22.2433i | 0.0246008 | + | 0.171102i | ||||
\(131\) | 14.5238 | − | 12.5850i | 0.110869 | − | 0.0960685i | −0.597662 | − | 0.801748i | \(-0.703904\pi\) |
0.708531 | + | 0.705680i | \(0.249358\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 29.3262 | − | 8.61094i | 0.220497 | − | 0.0647439i | ||||
\(134\) | −18.3790 | − | 8.39340i | −0.137157 | − | 0.0626373i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 35.7904 | − | 23.0011i | 0.263165 | − | 0.169126i | ||||
\(137\) | − | 88.3939i | − | 0.645211i | −0.946534 | − | 0.322605i | \(-0.895441\pi\) | ||
0.946534 | − | 0.322605i | \(-0.104559\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.2451 | 0.0880946 | 0.0440473 | − | 0.999029i | \(-0.485975\pi\) | ||||
0.0440473 | + | 0.999029i | \(0.485975\pi\) | |||||||
\(140\) | −3.89145 | − | 6.05521i | −0.0277960 | − | 0.0432515i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −38.8680 | + | 85.1090i | −0.273718 | + | 0.599359i | ||||
\(143\) | −30.3069 | − | 103.216i | −0.211936 | − | 0.721789i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 48.8100 | + | 56.3297i | 0.336621 | + | 0.388481i | ||||
\(146\) | −14.8437 | + | 2.13421i | −0.101670 | + | 0.0146179i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.11001 | − | 4.74320i | 0.0277703 | − | 0.0320487i | ||||
\(149\) | −33.9162 | + | 52.7746i | −0.227625 | + | 0.354192i | −0.936214 | − | 0.351430i | \(-0.885696\pi\) |
0.708589 | + | 0.705621i | \(0.249332\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 51.3724 | − | 59.2869i | 0.340214 | − | 0.392628i | −0.559700 | − | 0.828695i | \(-0.689084\pi\) |
0.899914 | + | 0.436067i | \(0.143629\pi\) | |||||||
\(152\) | 9.71002 | − | 33.0693i | 0.0638817 | − | 0.217561i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 22.5638 | + | 26.0401i | 0.146519 | + | 0.169091i | ||||
\(155\) | −9.49332 | + | 4.33546i | −0.0612473 | + | 0.0279707i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −55.2251 | + | 120.926i | −0.351752 | + | 0.770229i | 0.648210 | + | 0.761462i | \(0.275518\pi\) |
−0.999962 | + | 0.00876747i | \(0.997209\pi\) | |||||||
\(158\) | 148.193 | + | 21.3069i | 0.937928 | + | 0.134854i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.11656 | −0.0507285 | ||||||||
\(161\) | 56.3342 | − | 12.4349i | 0.349902 | − | 0.0772357i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −96.3602 | + | 61.9269i | −0.591167 | + | 0.379920i | −0.801753 | − | 0.597655i | \(-0.796099\pi\) |
0.210586 | + | 0.977575i | \(0.432463\pi\) | |||||||
\(164\) | −15.7488 | − | 2.26434i | −0.0960294 | − | 0.0138069i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −71.8784 | + | 21.1054i | −0.433002 | + | 0.127141i | ||||
\(167\) | 224.232 | − | 102.403i | 1.34271 | − | 0.613193i | 0.391053 | − | 0.920368i | \(-0.372111\pi\) |
0.951653 | + | 0.307175i | \(0.0993838\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.59657 | + | 45.8802i | 0.0390330 | + | 0.271480i | ||||
\(170\) | −8.59892 | + | 29.2852i | −0.0505819 | + | 0.172266i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 69.4488 | + | 44.6320i | 0.403772 | + | 0.259488i | ||||
\(173\) | 19.6730 | − | 30.6118i | 0.113717 | − | 0.176947i | −0.779730 | − | 0.626116i | \(-0.784644\pi\) |
0.893447 | + | 0.449169i | \(0.148280\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −55.2122 | − | 16.2118i | −0.315498 | − | 0.0926386i | ||||
\(176\) | 38.4584 | − | 5.52948i | 0.218513 | − | 0.0314175i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −25.5700 | − | 55.9904i | −0.143651 | − | 0.314553i | ||||
\(179\) | 9.72077 | + | 33.1059i | 0.0543060 | + | 0.184949i | 0.982179 | − | 0.187946i | \(-0.0601831\pi\) |
−0.927873 | + | 0.372896i | \(0.878365\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.8069 | + | 109.939i | −0.0873307 | + | 0.607399i | 0.898414 | + | 0.439150i | \(0.144720\pi\) |
−0.985745 | + | 0.168249i | \(0.946189\pi\) | |||||||
\(182\) | 21.2388 | + | 33.0482i | 0.116697 | + | 0.181583i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 22.5479 | − | 61.0213i | 0.122543 | − | 0.331637i | ||||
\(185\) | 4.50257i | 0.0243382i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.7931 | − | 144.619i | 0.111193 | − | 0.773365i | ||||
\(188\) | −4.28457 | − | 1.95670i | −0.0227903 | − | 0.0104080i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 10.2715 | + | 22.4914i | 0.0540603 | + | 0.118376i | ||||
\(191\) | −76.7088 | + | 66.4686i | −0.401617 | + | 0.348003i | −0.832129 | − | 0.554582i | \(-0.812878\pi\) |
0.430512 | + | 0.902585i | \(0.358333\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −74.4912 | − | 21.8726i | −0.385965 | − | 0.113329i | 0.0829930 | − | 0.996550i | \(-0.473552\pi\) |
−0.468958 | + | 0.883221i | \(0.655370\pi\) | |||||||
\(194\) | −97.3596 | − | 84.3626i | −0.501854 | − | 0.434859i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 71.8574 | + | 46.1800i | 0.366620 | + | 0.235612i | ||||
\(197\) | 59.4230 | + | 51.4904i | 0.301640 | + | 0.261372i | 0.792508 | − | 0.609861i | \(-0.208775\pi\) |
−0.490868 | + | 0.871234i | \(0.663320\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 46.7375 | + | 325.067i | 0.234862 | + | 1.63350i | 0.676596 | + | 0.736355i | \(0.263454\pi\) |
−0.441734 | + | 0.897146i | \(0.645636\pi\) | |||||||
\(200\) | −49.0389 | + | 42.4925i | −0.245195 | + | 0.212462i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 247.522 | − | 72.6791i | 1.22536 | − | 0.359798i | ||||
\(203\) | 118.523 | + | 54.1278i | 0.583859 | + | 0.266639i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.60252 | − | 6.17116i | 0.0468415 | − | 0.0301032i | ||||
\(206\) | 175.034i | 0.849679i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 44.2986 | 0.212974 | ||||||||
\(209\) | −63.9913 | − | 99.5724i | −0.306179 | − | 0.476423i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 161.213 | − | 353.008i | 0.764044 | − | 1.67302i | 0.0247011 | − | 0.999695i | \(-0.492137\pi\) |
0.739343 | − | 0.673329i | \(-0.235136\pi\) | |||||||
\(212\) | −17.7360 | − | 60.4033i | −0.0836604 | − | 0.284921i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.35319 | − | 3.86979i | −0.0156691 | − | 0.0180831i | ||||
\(215\) | −58.6221 | + | 8.42859i | −0.272661 | + | 0.0392027i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.9476 | + | 13.7882i | −0.0550579 | + | 0.0635403i | ||||
\(218\) | −83.1302 | + | 129.353i | −0.381331 | + | 0.593363i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −18.2537 | + | 21.0658i | −0.0829712 | + | 0.0957538i | ||||
\(221\) | 46.9313 | − | 159.833i | 0.212359 | − | 0.723227i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −247.681 | − | 285.840i | −1.11068 | − | 1.28179i | −0.955851 | − | 0.293850i | \(-0.905063\pi\) |
−0.154828 | − | 0.987941i | \(-0.549482\pi\) | |||||||
\(224\) | −12.9067 | + | 5.89430i | −0.0576193 | + | 0.0263138i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −63.8309 | + | 139.770i | −0.282438 | + | 0.618452i | ||||
\(227\) | 113.873 | + | 16.3725i | 0.501644 | + | 0.0721255i | 0.388492 | − | 0.921452i | \(-0.372996\pi\) |
0.113152 | + | 0.993578i | \(0.463905\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −268.333 | −1.17176 | −0.585881 | − | 0.810397i | \(-0.699251\pi\) | ||||
−0.585881 | + | 0.810397i | \(0.699251\pi\) | |||||||
\(230\) | 16.4429 | + | 43.6777i | 0.0714911 | + | 0.189903i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 123.605 | − | 79.4359i | 0.532779 | − | 0.342396i | ||||
\(233\) | −350.806 | − | 50.4383i | −1.50560 | − | 0.216473i | −0.660399 | − | 0.750915i | \(-0.729613\pi\) |
−0.845206 | + | 0.534441i | \(0.820522\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.24228 | − | 0.952019i | 0.0137969 | − | 0.00405115i | ||||
\(236\) | −24.7995 | + | 11.3255i | −0.105083 | + | 0.0479896i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.59338 | + | 52.8132i | 0.0319050 | + | 0.221904i | ||||
\(239\) | 49.0286 | − | 166.976i | 0.205141 | − | 0.698645i | −0.791074 | − | 0.611720i | \(-0.790478\pi\) |
0.996215 | − | 0.0869249i | \(-0.0277040\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −389.353 | − | 250.222i | −1.61557 | − | 1.03826i | −0.958763 | − | 0.284208i | \(-0.908269\pi\) |
−0.656809 | − | 0.754057i | \(-0.728094\pi\) | |||||||
\(242\) | −20.3751 | + | 31.7042i | −0.0841945 | + | 0.131009i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −96.3328 | − | 28.2859i | −0.394807 | − | 0.115926i | ||||
\(245\) | −60.6553 | + | 8.72091i | −0.247573 | + | 0.0355956i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −56.0597 | − | 122.754i | −0.226962 | − | 0.496978i | ||||
\(248\) | 5.79612 | + | 19.7398i | 0.0233715 | + | 0.0795959i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.8443 | − | 96.2894i | 0.0553773 | − | 0.385158i | ||||
\(251\) | 43.7765 | + | 68.1175i | 0.174408 | + | 0.271385i | 0.917442 | − | 0.397869i | \(-0.130250\pi\) |
−0.743034 | + | 0.669254i | \(0.766614\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −107.667 | − | 195.754i | −0.425560 | − | 0.773732i | ||||
\(254\) | 147.924i | 0.582378i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.27704 | + | 15.8371i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 6.40347 | + | 2.92436i | 0.0249162 | + | 0.0113789i | 0.427834 | − | 0.903857i | \(-0.359277\pi\) |
−0.402918 | + | 0.915236i | \(0.632004\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.26980 | + | 7.15986i | 0.0126247 | + | 0.0276442i | ||||
\(260\) | −24.0179 | + | 20.8116i | −0.0923766 | + | 0.0800448i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 26.0772 | + | 7.65694i | 0.0995311 | + | 0.0292250i | ||||
\(263\) | 214.095 | + | 185.514i | 0.814050 | + | 0.705378i | 0.958798 | − | 0.284090i | \(-0.0916916\pi\) |
−0.144748 | + | 0.989469i | \(0.546237\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 37.9938 | + | 24.4171i | 0.143373 | + | 0.0921401i | ||||
\(266\) | 32.6668 | + | 28.3059i | 0.122807 | + | 0.106413i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.06650 | − | 28.2831i | −0.0151735 | − | 0.105534i | ||||
\(269\) | −289.636 | + | 250.971i | −1.07671 | + | 0.932977i | −0.997955 | − | 0.0639169i | \(-0.979641\pi\) |
−0.0787575 | + | 0.996894i | \(0.525095\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 398.403 | − | 116.982i | 1.47012 | − | 0.431666i | 0.553982 | − | 0.832529i | \(-0.313108\pi\) |
0.916138 | + | 0.400862i | \(0.131289\pi\) | |||||||
\(272\) | 54.7294 | + | 24.9941i | 0.201211 | + | 0.0918900i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 105.163 | − | 67.5843i | 0.383808 | − | 0.246658i | ||||
\(275\) | 222.839i | 0.810325i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −83.8924 | −0.302860 | −0.151430 | − | 0.988468i | \(-0.548388\pi\) | ||||
−0.151430 | + | 0.988468i | \(0.548388\pi\) | |||||||
\(278\) | 9.36241 | + | 14.5682i | 0.0336777 | + | 0.0524036i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.22863 | − | 9.25940i | 0.0151022 | − | 0.0330693i | ||||
\(281\) | −128.472 | − | 437.536i | −0.457196 | − | 1.55707i | −0.789412 | − | 0.613864i | \(-0.789614\pi\) |
0.332216 | − | 0.943203i | \(-0.392204\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −199.164 | − | 229.848i | −0.703760 | − | 0.812183i | 0.285495 | − | 0.958380i | \(-0.407842\pi\) |
−0.989255 | + | 0.146197i | \(0.953297\pi\) | |||||||
\(284\) | −130.973 | + | 18.8311i | −0.461172 | + | 0.0663065i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 99.6250 | − | 114.973i | 0.348339 | − | 0.402005i | ||||
\(287\) | 10.7881 | − | 16.7866i | 0.0375892 | − | 0.0584900i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −41.0920 | + | 47.4227i | −0.142187 | + | 0.164093i | ||||
\(290\) | −29.6969 | + | 101.139i | −0.102403 | + | 0.348754i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −13.8884 | − | 16.0280i | −0.0475628 | − | 0.0548905i | ||||
\(293\) | −228.771 | + | 104.476i | −0.780790 | + | 0.356575i | −0.765606 | − | 0.643310i | \(-0.777561\pi\) |
−0.0151839 | + | 0.999885i | \(0.504833\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.12505 | − | 17.7914i | 0.0275426 | − | 0.0603098i | ||||
\(296\) | 8.78548 | + | 1.26316i | 0.0296807 | + | 0.00426744i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −88.7182 | −0.297712 | ||||||||
\(299\) | −89.7425 | − | 238.384i | −0.300142 | − | 0.797272i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −87.0983 | + | 55.9747i | −0.289363 | + | 0.185962i | ||||
\(302\) | 109.813 | + | 15.7887i | 0.363618 | + | 0.0522804i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 46.7670 | − | 13.7320i | 0.153839 | − | 0.0451712i | ||||
\(305\) | 65.5187 | − | 29.9214i | 0.214815 | − | 0.0981029i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.74531 | + | 12.1389i | 0.00568505 | + | 0.0395404i | 0.992467 | − | 0.122516i | \(-0.0390964\pi\) |
−0.986781 | + | 0.162057i | \(0.948187\pi\) | |||||||
\(308\) | −13.7283 | + | 46.7542i | −0.0445724 | + | 0.151799i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −12.4164 | − | 7.97951i | −0.0400528 | − | 0.0257404i | ||||
\(311\) | −309.179 | + | 481.092i | −0.994146 | + | 1.54692i | −0.166215 | + | 0.986089i | \(0.553155\pi\) |
−0.827930 | + | 0.560831i | \(0.810482\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −502.012 | − | 147.404i | −1.60387 | − | 0.470939i | −0.647252 | − | 0.762276i | \(-0.724082\pi\) |
−0.956621 | + | 0.291337i | \(0.905900\pi\) | |||||||
\(314\) | −186.091 | + | 26.7559i | −0.592647 | + | 0.0852098i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 87.9563 | + | 192.597i | 0.278343 | + | 0.609485i | ||||
\(317\) | 43.9426 | + | 149.655i | 0.138620 | + | 0.472097i | 0.999314 | − | 0.0370254i | \(-0.0117883\pi\) |
−0.860694 | + | 0.509122i | \(0.829970\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 71.8103 | − | 499.452i | 0.225111 | − | 1.56568i | ||||
\(320\) | −6.20577 | − | 9.65637i | −0.0193930 | − | 0.0301762i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 57.8661 | + | 57.5140i | 0.179708 | + | 0.178615i | ||||
\(323\) | − | 183.288i | − | 0.567454i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −36.1575 | + | 251.481i | −0.111254 | + | 0.773788i | ||||
\(326\) | −147.350 | − | 67.2927i | −0.451995 | − | 0.206419i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.34735 | − | 20.4678i | −0.0284980 | − | 0.0624019i | ||||
\(329\) | 4.46442 | − | 3.86844i | 0.0135697 | − | 0.0117582i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 29.2276 | + | 8.58201i | 0.0883010 | + | 0.0259275i | 0.325585 | − | 0.945513i | \(-0.394439\pi\) |
−0.237284 | + | 0.971440i | \(0.576257\pi\) | |||||||
\(332\) | −80.0662 | − | 69.3778i | −0.241163 | − | 0.208969i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 293.274 | + | 188.476i | 0.878066 | + | 0.564299i | ||||
\(335\) | 15.4923 | + | 13.4242i | 0.0462457 | + | 0.0400721i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 40.4870 | + | 281.593i | 0.120140 | + | 0.835589i | 0.957396 | + | 0.288778i | \(0.0932491\pi\) |
−0.837256 | + | 0.546810i | \(0.815842\pi\) | |||||||
\(338\) | −49.5406 | + | 42.9271i | −0.146570 | + | 0.127003i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −41.4156 | + | 12.1607i | −0.121811 | + | 0.0357668i | ||||
\(341\) | 64.2681 | + | 29.3502i | 0.188469 | + | 0.0860711i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −193.514 | + | 124.364i | −0.564180 | + | 0.362577i | ||||
\(344\) | 116.749i | 0.339386i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 51.4609 | 0.148731 | ||||||||
\(347\) | 57.1260 | + | 88.8897i | 0.164628 | + | 0.256166i | 0.913760 | − | 0.406255i | \(-0.133165\pi\) |
−0.749132 | + | 0.662421i | \(0.769529\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −111.134 | + | 243.350i | −0.318436 | + | 0.697278i | −0.999385 | − | 0.0350523i | \(-0.988840\pi\) |
0.680949 | + | 0.732331i | \(0.261567\pi\) | |||||||
\(350\) | −22.9269 | − | 78.0818i | −0.0655054 | − | 0.223091i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 35.9830 | + | 41.5267i | 0.102225 | + | 0.117973i | ||||
\(353\) | 233.071 | − | 33.5106i | 0.660258 | − | 0.0949308i | 0.195963 | − | 0.980611i | \(-0.437217\pi\) |
0.464295 | + | 0.885680i | \(0.346308\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 62.1642 | − | 71.7413i | 0.175110 | − | 0.202088i | ||||
\(356\) | 47.0621 | − | 73.2301i | 0.132197 | − | 0.205703i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −31.9542 | + | 36.8771i | −0.0892575 | + | 0.103009i | ||||
\(359\) | −75.0765 | + | 255.687i | −0.209127 | + | 0.712220i | 0.786398 | + | 0.617720i | \(0.211943\pi\) |
−0.995525 | + | 0.0945001i | \(0.969875\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 139.169 | + | 160.610i | 0.385510 | + | 0.444902i | ||||
\(362\) | −142.882 | + | 65.2518i | −0.394701 | + | 0.180254i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −23.0790 | + | 50.5360i | −0.0634040 | + | 0.138835i | ||||
\(365\) | 15.0600 | + | 2.16530i | 0.0412603 | + | 0.00593234i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −290.122 | −0.790523 | −0.395261 | − | 0.918569i | \(-0.629346\pi\) | ||||
−0.395261 | + | 0.918569i | \(0.629346\pi\) | |||||||
\(368\) | 89.8374 | − | 19.8303i | 0.244123 | − | 0.0538866i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.35676 | + | 3.44258i | −0.0144777 | + | 0.00930428i | ||||
\(371\) | 78.1485 | + | 11.2361i | 0.210643 | + | 0.0302859i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −309.875 | + | 90.9874i | −0.830763 | + | 0.243934i | −0.669345 | − | 0.742952i | \(-0.733425\pi\) |
−0.161418 | + | 0.986886i | \(0.551607\pi\) | |||||||
\(374\) | 187.953 | − | 85.8354i | 0.502549 | − | 0.229506i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.947997 | − | 6.59346i | −0.00252127 | − | 0.0175358i | ||||
\(377\) | 162.080 | − | 551.995i | 0.429921 | − | 1.46418i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 384.623 | + | 247.182i | 1.01484 | + | 0.652196i | 0.938641 | − | 0.344896i | \(-0.112086\pi\) |
0.0761967 | + | 0.997093i | \(0.475722\pi\) | |||||||
\(380\) | −18.9049 | + | 29.4166i | −0.0497497 | + | 0.0774120i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −137.729 | − | 40.4408i | −0.360546 | − | 0.105866i | ||||
\(383\) | −472.154 | + | 67.8856i | −1.23278 | + | 0.177247i | −0.727742 | − | 0.685851i | \(-0.759430\pi\) |
−0.505037 | + | 0.863098i | \(0.668521\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.5221 | − | 31.7989i | −0.0377197 | − | 0.0825945i | ||||
\(386\) | −30.9325 | − | 105.346i | −0.0801360 | − | 0.272918i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 25.9278 | − | 180.332i | 0.0668243 | − | 0.464773i | ||||
\(389\) | −18.9893 | − | 29.5480i | −0.0488157 | − | 0.0759588i | 0.815988 | − | 0.578069i | \(-0.196194\pi\) |
−0.864804 | + | 0.502110i | \(0.832557\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 23.6271 | − | 345.150i | 0.0604273 | − | 0.882736i | ||||
\(392\) | 120.798i | 0.308158i | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.8249 | + | 110.065i | −0.0401648 | + | 0.279352i | ||||
\(395\) | −138.171 | − | 63.1007i | −0.349800 | − | 0.159748i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 198.254 | + | 434.116i | 0.499380 | + | 1.09349i | 0.976670 | + | 0.214745i | \(0.0688919\pi\) |
−0.477290 | + | 0.878746i | \(0.658381\pi\) | |||||||
\(398\) | −351.001 | + | 304.144i | −0.881912 | + | 0.764181i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −88.0480 | − | 25.8532i | −0.220120 | − | 0.0646331i | ||||
\(401\) | −76.4891 | − | 66.2782i | −0.190746 | − | 0.165282i | 0.554252 | − | 0.832349i | \(-0.313004\pi\) |
−0.744998 | + | 0.667066i | \(0.767550\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 67.7661 | + | 43.5507i | 0.168154 | + | 0.108066i | ||||
\(404\) | 275.718 | + | 238.911i | 0.682471 | + | 0.591365i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 26.2243 | + | 182.394i | 0.0645918 | + | 0.449246i | ||||
\(407\) | 23.0364 | − | 19.9612i | 0.0566006 | − | 0.0490447i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 245.923 | − | 72.2094i | 0.601278 | − | 0.176551i | 0.0330932 | − | 0.999452i | \(-0.489464\pi\) |
0.568184 | + | 0.822901i | \(0.307646\pi\) | |||||||
\(410\) | 14.6838 | + | 6.70587i | 0.0358142 | + | 0.0163558i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −208.240 | + | 133.828i | −0.505437 | + | 0.324825i | ||||
\(413\) | − | 34.1918i | − | 0.0827889i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 76.0044 | 0.183143 | ||||||||
\(416\) | 33.8699 | + | 52.7026i | 0.0814181 | + | 0.126689i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 69.5359 | − | 152.262i | 0.166354 | − | 0.364264i | ||||
\(419\) | −28.1458 | − | 95.8559i | −0.0671739 | − | 0.228773i | 0.919063 | − | 0.394110i | \(-0.128947\pi\) |
−0.986237 | + | 0.165337i | \(0.947129\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 434.470 | + | 501.405i | 1.03199 | + | 1.19099i | 0.981342 | + | 0.192269i | \(0.0615846\pi\) |
0.0506524 | + | 0.998716i | \(0.483870\pi\) | |||||||
\(422\) | 543.239 | − | 78.1059i | 1.28730 | − | 0.185085i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 58.3019 | − | 67.2840i | 0.137504 | − | 0.158689i | ||||
\(425\) | −186.561 | + | 290.295i | −0.438968 | + | 0.683048i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 82.4568 | − | 95.1602i | 0.193107 | − | 0.222858i | ||||
\(428\) | 2.04015 | − | 6.94810i | 0.00476670 | − | 0.0162339i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −54.8490 | − | 63.2991i | −0.127556 | − | 0.147207i | ||||
\(431\) | 493.845 | − | 225.531i | 1.14581 | − | 0.523274i | 0.250236 | − | 0.968185i | \(-0.419492\pi\) |
0.895575 | + | 0.444910i | \(0.146764\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −103.757 | + | 227.196i | −0.239623 | + | 0.524701i | −0.990789 | − | 0.135412i | \(-0.956764\pi\) |
0.751166 | + | 0.660113i | \(0.229492\pi\) | |||||||
\(434\) | −25.5389 | − | 3.67194i | −0.0588455 | − | 0.00846070i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −217.453 | −0.498745 | ||||||||
\(437\) | −168.639 | − | 223.849i | −0.385903 | − | 0.512239i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 369.633 | − | 237.548i | 0.841988 | − | 0.541113i | −0.0470786 | − | 0.998891i | \(-0.514991\pi\) |
0.889066 | + | 0.457779i | \(0.151355\pi\) | |||||||
\(440\) | −39.0187 | − | 5.61004i | −0.0886789 | − | 0.0127501i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 226.038 | − | 66.3708i | 0.511399 | − | 0.150160i | ||||
\(443\) | 607.498 | − | 277.435i | 1.37133 | − | 0.626264i | 0.412684 | − | 0.910874i | \(-0.364591\pi\) |
0.958643 | + | 0.284610i | \(0.0918642\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.88751 | + | 61.8140i | 0.0199719 | + | 0.138908i | ||||
\(446\) | 150.694 | − | 513.217i | 0.337879 | − | 1.15071i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.8808 | − | 10.8486i | −0.0376803 | − | 0.0242156i | ||||
\(449\) | −197.292 | + | 306.993i | −0.439404 | + | 0.683726i | −0.988361 | − | 0.152124i | \(-0.951389\pi\) |
0.548957 | + | 0.835850i | \(0.315025\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −74.1442 | − | 21.7707i | −0.164399 | − | 0.0482720i | ||||
\(452\) | −215.090 | + | 30.9253i | −0.475863 | + | 0.0684188i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 67.5868 | + | 147.994i | 0.148870 | + | 0.325979i | ||||
\(455\) | −11.2290 | − | 38.2423i | −0.0246790 | − | 0.0840491i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 83.4698 | − | 580.545i | 0.182647 | − | 1.27034i | −0.667825 | − | 0.744319i | \(-0.732774\pi\) |
0.850472 | − | 0.526021i | \(-0.176317\pi\) | |||||||
\(458\) | −205.163 | − | 319.240i | −0.447954 | − | 0.697029i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −39.3919 | + | 52.9575i | −0.0856345 | + | 0.115125i | ||||
\(461\) | − | 610.720i | − | 1.32477i | −0.749163 | − | 0.662386i | \(-0.769544\pi\) | ||
0.749163 | − | 0.662386i | \(-0.230456\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −32.9509 | + | 229.179i | −0.0711683 | + | 0.494986i | 0.922797 | + | 0.385287i | \(0.125898\pi\) |
−0.993965 | + | 0.109699i | \(0.965011\pi\) | |||||||
\(464\) | 189.012 | + | 86.3187i | 0.407353 | + | 0.186032i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −208.213 | − | 455.922i | −0.446808 | − | 0.978374i | ||||
\(467\) | 24.3225 | − | 21.0755i | 0.0520824 | − | 0.0451297i | −0.628431 | − | 0.777866i | \(-0.716302\pi\) |
0.680513 | + | 0.732736i | \(0.261757\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.3841 | + | 10.0961i | 0.0733137 | + | 0.0215268i | ||||
\(470\) | 3.61162 | + | 3.12948i | 0.00768429 | + | 0.00665848i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −32.4354 | − | 20.8450i | −0.0687190 | − | 0.0441630i | ||||
\(473\) | 303.012 | + | 262.561i | 0.640617 | + | 0.555098i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 39.7838 | + | 276.702i | 0.0837554 | + | 0.582531i | ||||
\(476\) | −57.0267 | + | 49.4139i | −0.119804 | + | 0.103811i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 236.140 | − | 69.3370i | 0.494017 | − | 0.145056i | ||||
\(479\) | 665.264 | + | 303.816i | 1.38886 | + | 0.634272i | 0.962748 | − | 0.270399i | \(-0.0871555\pi\) |
0.426113 | + | 0.904670i | \(0.359883\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 29.2362 | − | 18.7890i | 0.0607821 | − | 0.0390623i | ||||
\(482\) | − | 654.533i | − | 1.35795i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −53.2973 | −0.110118 | ||||||||
\(485\) | 70.6630 | + | 109.954i | 0.145697 | + | 0.226709i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −211.625 | + | 463.394i | −0.434548 | + | 0.951528i | 0.558019 | + | 0.829828i | \(0.311562\pi\) |
−0.992567 | + | 0.121699i | \(0.961166\pi\) | |||||||
\(488\) | −40.0022 | − | 136.235i | −0.0819718 | − | 0.279170i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −56.7513 | − | 65.4945i | −0.115819 | − | 0.133662i | ||||
\(491\) | 413.779 | − | 59.4924i | 0.842726 | − | 0.121166i | 0.292587 | − | 0.956239i | \(-0.405484\pi\) |
0.550139 | + | 0.835073i | \(0.314575\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 511.690 | − | 590.522i | 1.03791 | − | 1.19781i | ||||
\(494\) | 103.179 | − | 160.550i | 0.208865 | − | 0.325000i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −19.0531 | + | 21.9884i | −0.0384134 | + | 0.0443314i | ||||
\(497\) | 46.7527 | − | 159.225i | 0.0940698 | − | 0.320372i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 373.325 | + | 430.840i | 0.748147 | + | 0.863407i | 0.994387 | − | 0.105801i | \(-0.0337408\pi\) |
−0.246240 | + | 0.969209i | \(0.579195\pi\) | |||||||
\(500\) | 125.142 | − | 57.1504i | 0.250284 | − | 0.114301i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −47.5696 | + | 104.163i | −0.0947601 | + | 0.207496i | ||||
\(503\) | 155.746 | + | 22.3929i | 0.309635 | + | 0.0445188i | 0.295381 | − | 0.955380i | \(-0.404554\pi\) |
0.0142541 | + | 0.999898i | \(0.495463\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −261.731 | −0.518279 | ||||||||
\(506\) | 150.571 | − | 277.763i | 0.297572 | − | 0.548938i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −175.987 | + | 113.100i | −0.346431 | + | 0.222638i | ||||
\(509\) | −677.996 | − | 97.4811i | −1.33202 | − | 0.191515i | −0.560727 | − | 0.828001i | \(-0.689478\pi\) |
−0.771288 | + | 0.636486i | \(0.780387\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 25.5205 | − | 7.49349i | 0.0499422 | − | 0.0146644i | ||||
\(512\) | −20.5826 | + | 9.39977i | −0.0402004 | + | 0.0183589i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.41682 | + | 9.85420i | 0.00275646 | + | 0.0191716i | ||||
\(515\) | 50.0312 | − | 170.391i | 0.0971480 | − | 0.330856i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −19.2448 | − | 12.3679i | −0.0372239 | − | 0.0239224i | ||||
\(518\) | −6.01815 | + | 9.36442i | −0.0116180 | + | 0.0180780i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −43.1235 | − | 12.6622i | −0.0829298 | − | 0.0243504i | ||||
\(521\) | 561.406 | − | 80.7179i | 1.07755 | − | 0.154929i | 0.419392 | − | 0.907805i | \(-0.362243\pi\) |
0.658162 | + | 0.752876i | \(0.271334\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −75.0532 | − | 164.344i | −0.143505 | − | 0.314232i | 0.824208 | − | 0.566288i | \(-0.191621\pi\) |
−0.967713 | + | 0.252055i | \(0.918894\pi\) | |||||||
\(524\) | 10.8286 | + | 36.8787i | 0.0206652 | + | 0.0703791i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −57.0156 | + | 396.553i | −0.108395 | + | 0.753902i | ||||
\(527\) | 59.1506 | + | 92.0402i | 0.112240 | + | 0.174649i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −288.710 | − | 443.269i | −0.545766 | − | 0.837938i | ||||
\(530\) | 63.8706i | 0.120510i | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.69949 | + | 60.5063i | −0.0163524 | + | 0.113734i | ||||
\(533\) | −80.1414 | − | 36.5994i | −0.150359 | − | 0.0686667i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.15811 | + | 4.72560i | 0.00403385 | + | 0.00883289i | ||||
\(536\) | 30.5396 | − | 26.4627i | 0.0569769 | − | 0.0493708i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −520.033 | − | 152.696i | −0.966604 | − | 0.283821i | ||||
\(539\) | 313.521 | + | 271.668i | 0.581672 | + | 0.504022i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 618.419 | + | 397.434i | 1.14310 | + | 0.734628i | 0.968254 | − | 0.249968i | \(-0.0804200\pi\) |
0.174849 | + | 0.984595i | \(0.444056\pi\) | |||||||
\(542\) | 443.786 | + | 384.542i | 0.818793 | + | 0.709488i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.1093 | + | 84.2223i | 0.0222598 | + | 0.154820i | ||||
\(545\) | 117.899 | − | 102.160i | 0.216328 | − | 0.187450i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1016.01 | − | 298.328i | 1.85742 | − | 0.545389i | 0.857923 | − | 0.513779i | \(-0.171755\pi\) |
0.999500 | − | 0.0316100i | \(-0.0100635\pi\) | |||||||
\(548\) | 160.812 | + | 73.4403i | 0.293452 | + | 0.134015i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −265.115 | + | 170.379i | −0.482027 | + | 0.309780i | ||||
\(551\) | − | 632.996i | − | 1.14881i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −265.540 | −0.480181 | ||||||||
\(554\) | −64.1425 | − | 99.8077i | −0.115781 | − | 0.180158i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.1736 | + | 22.2771i | −0.0182979 | + | 0.0400668i | ||||
\(557\) | 26.6197 | + | 90.6583i | 0.0477912 | + | 0.162762i | 0.979931 | − | 0.199336i | \(-0.0638787\pi\) |
−0.932140 | + | 0.362098i | \(0.882060\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 299.355 | + | 345.474i | 0.535519 | + | 0.618022i | ||||
\(560\) | 14.2492 | − | 2.04872i | 0.0254449 | − | 0.00365843i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 422.314 | − | 487.377i | 0.751449 | − | 0.867218i | ||||
\(563\) | −575.322 | + | 895.219i | −1.02189 | + | 1.59009i | −0.235963 | + | 0.971762i | \(0.575824\pi\) |
−0.785923 | + | 0.618324i | \(0.787812\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 102.089 | − | 117.817i | 0.180689 | − | 0.208526i | ||||
\(566\) | 121.175 | − | 412.685i | 0.214091 | − | 0.729126i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −122.543 | − | 141.422i | −0.215745 | − | 0.248983i | ||||
\(569\) | −79.9703 | + | 36.5212i | −0.140545 | + | 0.0641849i | −0.484446 | − | 0.874821i | \(-0.660979\pi\) |
0.343901 | + | 0.939006i | \(0.388252\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −142.751 | + | 312.582i | −0.250002 | + | 0.547429i | −0.992475 | − | 0.122448i | \(-0.960926\pi\) |
0.742473 | + | 0.669876i | \(0.233653\pi\) | |||||||
\(572\) | 212.957 | + | 30.6185i | 0.372302 | + | 0.0535289i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 28.2196 | 0.0491631 | ||||||||
\(575\) | 39.2482 | + | 526.188i | 0.0682577 | + | 0.915110i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 88.4919 | − | 56.8703i | 0.153365 | − | 0.0985620i | −0.461707 | − | 0.887032i | \(-0.652763\pi\) |
0.615073 | + | 0.788470i | \(0.289127\pi\) | |||||||
\(578\) | −87.8376 | − | 12.6291i | −0.151968 | − | 0.0218497i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −143.031 | + | 41.9978i | −0.246606 | + | 0.0724101i | ||||
\(581\) | 120.860 | − | 55.1949i | 0.208021 | − | 0.0949998i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −43.5124 | − | 302.635i | −0.0746353 | − | 0.519100i | ||||
\(584\) | 8.44994 | − | 28.7779i | 0.0144691 | − | 0.0492772i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −299.211 | − | 192.291i | −0.510599 | − | 0.328142i | ||||
\(587\) | 70.3514 | − | 109.469i | 0.119849 | − | 0.186489i | −0.776145 | − | 0.630554i | \(-0.782828\pi\) |
0.895994 | + | 0.444065i | \(0.146464\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 85.0424 | + | 24.9707i | 0.144384 | + | 0.0423951i | ||||
\(590\) | 27.3789 | − | 3.93649i | 0.0464049 | − | 0.00667202i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.21442 | + | 11.4180i | 0.00880814 | + | 0.0192871i | ||||
\(593\) | 242.666 | + | 826.444i | 0.409217 | + | 1.39367i | 0.864192 | + | 0.503162i | \(0.167830\pi\) |
−0.454974 | + | 0.890504i | \(0.650352\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.70402 | − | 53.5826i | 0.0129479 | − | 0.0900548i | ||||
\(596\) | −67.8323 | − | 105.549i | −0.113813 | − | 0.177096i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 214.993 | − | 289.032i | 0.359521 | − | 0.483331i | ||||
\(599\) | − | 125.083i | − | 0.208819i | −0.994534 | − | 0.104410i | \(-0.966705\pi\) | ||
0.994534 | − | 0.104410i | \(-0.0332953\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −45.7290 | + | 318.052i | −0.0760882 | + | 0.529205i | 0.915755 | + | 0.401738i | \(0.131594\pi\) |
−0.991843 | + | 0.127467i | \(0.959315\pi\) | |||||||
\(602\) | −133.188 | − | 60.8247i | −0.221242 | − | 0.101038i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 65.1768 | + | 142.717i | 0.107909 | + | 0.236287i | ||||
\(605\) | 28.8968 | − | 25.0393i | 0.0477634 | − | 0.0413872i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 133.483 | + | 39.1940i | 0.219905 | + | 0.0645701i | 0.389829 | − | 0.920887i | \(-0.372534\pi\) |
−0.169924 | + | 0.985457i | \(0.554352\pi\) | |||||||
\(608\) | 52.0944 | + | 45.1401i | 0.0856816 | + | 0.0742435i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 85.6922 | + | 55.0710i | 0.140479 | + | 0.0902804i | ||||
\(611\) | −19.7115 | − | 17.0801i | −0.0322611 | − | 0.0279544i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 106.715 | + | 742.217i | 0.174086 | + | 1.21079i | 0.870140 | + | 0.492805i | \(0.164028\pi\) |
−0.696054 | + | 0.717989i | \(0.745063\pi\) | |||||||
\(614\) | −13.1074 | + | 11.3576i | −0.0213475 | + | 0.0184977i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −66.1205 | + | 19.4147i | −0.107338 | + | 0.0315174i | ||||
\(617\) | −344.135 | − | 157.161i | −0.557755 | − | 0.254718i | 0.116533 | − | 0.993187i | \(-0.462822\pi\) |
−0.674288 | + | 0.738469i | \(0.735549\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −938.274 | + | 602.992i | −1.51579 | + | 0.974139i | −0.523255 | + | 0.852176i | \(0.675283\pi\) |
−0.992535 | + | 0.121963i | \(0.961081\pi\) | |||||||
\(620\) | − | 20.8729i | − | 0.0336660i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −808.754 | −1.30025 | ||||||||
\(623\) | 59.0224 | + | 91.8406i | 0.0947390 | + | 0.147417i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 197.254 | − | 431.926i | 0.315606 | − | 0.691081i | ||||
\(626\) | −208.461 | − | 709.952i | −0.333005 | − | 1.13411i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −174.114 | − | 200.938i | −0.277251 | − | 0.319965i | ||||
\(629\) | 46.7214 | − | 6.71752i | 0.0742788 | − | 0.0106797i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 274.418 | − | 316.696i | 0.434894 | − | 0.501895i | −0.495422 | − | 0.868652i | \(-0.664987\pi\) |
0.930317 | + | 0.366758i | \(0.119532\pi\) | |||||||
\(632\) | −161.886 | + | 251.899i | −0.256148 | + | 0.398574i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −144.448 | + | 166.702i | −0.227837 | + | 0.262937i | ||||
\(635\) | 42.2822 | − | 144.000i | 0.0665862 | − | 0.226772i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 309.738 | + | 357.456i | 0.486244 | + | 0.561156i | ||||
\(638\) | 649.109 | − | 296.438i | 1.01741 | − | 0.464637i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 6.74348 | − | 14.7662i | 0.0105367 | − | 0.0230721i | ||||
\(641\) | 565.007 | + | 81.2358i | 0.881447 | + | 0.126733i | 0.568153 | − | 0.822923i | \(-0.307658\pi\) |
0.313294 | + | 0.949656i | \(0.398567\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −367.731 | −0.571899 | −0.285950 | − | 0.958245i | \(-0.592309\pi\) | ||||
−0.285950 | + | 0.958245i | \(0.592309\pi\) | |||||||
\(644\) | −24.1817 | + | 112.818i | −0.0375493 | + | 0.175184i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 218.060 | − | 140.138i | 0.337553 | − | 0.216932i | ||||
\(647\) | −1099.89 | − | 158.140i | −1.69998 | − | 0.244420i | −0.777062 | − | 0.629424i | \(-0.783291\pi\) |
−0.922915 | + | 0.385004i | \(0.874200\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −127.047 | + | 37.3042i | −0.195757 | + | 0.0574796i | ||||
\(650\) | −326.835 | + | 149.261i | −0.502824 | + | 0.229632i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −32.6025 | − | 226.755i | −0.0500038 | − | 0.347784i | ||||
\(653\) | −1.19378 | + | 4.06564i | −0.00182815 | + | 0.00622610i | −0.960402 | − | 0.278618i | \(-0.910124\pi\) |
0.958574 | + | 0.284844i | \(0.0919418\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −23.1968 | − | 14.9076i | −0.0354149 | − | 0.0227598i | ||||
\(656\) | 17.2040 | − | 26.7700i | 0.0262256 | − | 0.0408079i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.01574 | + | 2.35363i | 0.0121820 | + | 0.00357695i | ||||
\(659\) | −948.015 | + | 136.304i | −1.43857 | + | 0.206835i | −0.817050 | − | 0.576567i | \(-0.804392\pi\) |
−0.621516 | + | 0.783401i | \(0.713483\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.1540 | + | 46.3208i | 0.0320030 | + | 0.0700769i | 0.924958 | − | 0.380068i | \(-0.124100\pi\) |
−0.892955 | + | 0.450145i | \(0.851372\pi\) | |||||||
\(662\) | 12.1368 | + | 41.3341i | 0.0183335 | + | 0.0624383i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 21.3224 | − | 148.301i | 0.0321121 | − | 0.223345i | ||||
\(665\) | −23.7093 | − | 36.8924i | −0.0356531 | − | 0.0554773i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 81.5977 | − | 1192.00i | 0.122335 | − | 1.78710i | ||||
\(668\) | 493.017i | 0.738049i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.12575 | + | 28.6952i | −0.00615784 | + | 0.0428287i | ||||
\(671\) | −443.549 | − | 202.562i | −0.661028 | − | 0.301881i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −289.728 | − | 634.416i | −0.430502 | − | 0.942669i | −0.993245 | − | 0.116036i | \(-0.962981\pi\) |
0.562743 | − | 0.826632i | \(-0.309746\pi\) | |||||||
\(674\) | −304.059 | + | 263.469i | −0.451127 | + | 0.390904i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −88.9488 | − | 26.1177i | −0.131581 | − | 0.0386357i | ||||
\(677\) | −256.763 | − | 222.486i | −0.379266 | − | 0.328636i | 0.444277 | − | 0.895889i | \(-0.353461\pi\) |
−0.823543 | + | 0.567254i | \(0.808006\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 192.215 | + | 123.529i | 0.283086 | + | 0.181928i | ||||
\(680\) | −46.1333 | − | 39.9748i | −0.0678431 | − | 0.0587864i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 14.2198 | + | 98.9012i | 0.0208502 | + | 0.145016i | ||||
\(683\) | −680.355 | + | 589.531i | −0.996127 | + | 0.863149i | −0.990594 | − | 0.136835i | \(-0.956307\pi\) |
−0.00553364 | + | 0.999985i | \(0.501761\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −121.692 | + | 35.7319i | −0.177652 | + | 0.0521634i | ||||
\(686\) | −295.914 | − | 135.139i | −0.431362 | − | 0.196996i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −138.898 | + | 89.2640i | −0.201886 | + | 0.129744i | ||||
\(689\) | − | 348.593i | − | 0.505941i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 926.610 | 1.34097 | 0.670485 | − | 0.741923i | \(-0.266086\pi\) | ||||
0.670485 | + | 0.741923i | \(0.266086\pi\) | |||||||
\(692\) | 39.3460 | + | 61.2236i | 0.0568584 | + | 0.0884734i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −62.0757 | + | 135.927i | −0.0894463 | + | 0.195860i | ||||
\(695\) | −4.94992 | − | 16.8579i | −0.00712218 | − | 0.0242559i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −78.3619 | − | 90.4345i | −0.112427 | − | 0.129748i | ||||
\(698\) | −374.488 | + | 53.8432i | −0.536516 | + | 0.0771393i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 75.3654 | − | 86.9763i | 0.107665 | − | 0.124252i | ||||
\(701\) | −253.709 | + | 394.779i | −0.361924 | + | 0.563165i | −0.973691 | − | 0.227873i | \(-0.926823\pi\) |
0.611767 | + | 0.791038i | \(0.290459\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.0409 | − | 28.8988i | 0.0356201 | − | 0.0411078i | ||||
\(704\) | −21.8928 | + | 74.5600i | −0.0310977 | + | 0.105909i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 218.070 | + | 251.666i | 0.308881 | + | 0.356467i | ||||
\(707\) | −416.197 | + | 190.071i | −0.588680 | + | 0.268841i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −528.022 | + | 1156.21i | −0.744742 | + | 1.63076i | 0.0308519 | + | 0.999524i | \(0.490178\pi\) |
−0.775593 | + | 0.631233i | \(0.782549\pi\) | |||||||
\(710\) | 132.881 | + | 19.1054i | 0.187157 | + | 0.0269091i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 123.106 | 0.172901 | ||||||||
\(713\) | 156.925 | + | 57.9850i | 0.220091 | + | 0.0813254i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −129.846 | + | 83.4469i | −0.181603 | + | 0.116709i | ||||
\(716\) | −68.3047 | − | 9.82073i | −0.0953976 | − | 0.0137161i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −361.596 | + | 106.174i | −0.503616 | + | 0.147875i | ||||
\(719\) | 466.434 | − | 213.013i | 0.648726 | − | 0.296263i | −0.0637434 | − | 0.997966i | \(-0.520304\pi\) |
0.712470 | + | 0.701703i | \(0.247577\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −44.1807 | − | 307.284i | −0.0612770 | − | 0.426191i | ||||
\(722\) | −84.6732 | + | 288.370i | −0.117276 | + | 0.399405i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −186.876 | − | 120.098i | −0.258115 | − | 0.165881i | ||||
\(725\) | −644.302 | + | 1002.55i | −0.888693 | + | 1.38283i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −733.776 | − | 215.456i | −1.00932 | − | 0.296363i | −0.265045 | − | 0.964236i | \(-0.585387\pi\) |
−0.744275 | + | 0.667873i | \(0.767205\pi\) | |||||||
\(728\) | −77.7692 | + | 11.1815i | −0.106826 | + | 0.0153592i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.93853 | + | 19.5726i | 0.0122446 | + | 0.0268118i | ||||
\(731\) | 174.920 | + | 595.723i | 0.239289 | + | 0.814943i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 154.457 | − | 1074.27i | 0.210719 | − | 1.46558i | −0.560044 | − | 0.828463i | \(-0.689216\pi\) |
0.770763 | − | 0.637122i | \(-0.219875\pi\) | |||||||
\(734\) | −221.822 | − | 345.162i | −0.302210 | − | 0.470247i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 92.2803 | + | 91.7188i | 0.125381 | + | 0.124618i | ||||
\(737\) | − | 138.776i | − | 0.188299i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −57.6373 | + | 400.876i | −0.0779937 | + | 0.542458i | 0.912939 | + | 0.408097i | \(0.133807\pi\) |
−0.990932 | + | 0.134361i | \(0.957102\pi\) | |||||||
\(740\) | −8.19137 | − | 3.74087i | −0.0110694 | − | 0.00505523i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 46.3832 | + | 101.565i | 0.0625111 | + | 0.136880i | ||||
\(743\) | −92.3311 | + | 80.0054i | −0.124268 | + | 0.107679i | −0.714778 | − | 0.699352i | \(-0.753472\pi\) |
0.590510 | + | 0.807030i | \(0.298927\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 86.3648 | + | 25.3590i | 0.115926 | + | 0.0340389i | ||||
\(746\) | −345.173 | − | 299.094i | −0.462699 | − | 0.400931i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 245.825 | + | 157.982i | 0.328643 | + | 0.211206i | ||||
\(749\) | 6.86353 | + | 5.94728i | 0.00916359 | + | 0.00794029i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 172.294 | + | 1198.33i | 0.229419 | + | 1.59564i | 0.700565 | + | 0.713588i | \(0.252931\pi\) |
−0.471147 | + | 0.882055i | \(0.656160\pi\) | |||||||
\(752\) | 7.11950 | − | 6.16908i | 0.00946742 | − | 0.00820357i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 780.638 | − | 229.216i | 1.03533 | − | 0.304000i | ||||
\(755\) | −102.387 | − | 46.7584i | −0.135611 | − | 0.0619317i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28.5282 | + | 18.3339i | −0.0376858 | + | 0.0242192i | −0.559348 | − | 0.828933i | \(-0.688948\pi\) |
0.521662 | + | 0.853152i | \(0.325312\pi\) | |||||||
\(758\) | 646.582i | 0.853011i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −49.4516 | −0.0650679 | ||||||||
\(761\) | 133.040 | + | 207.014i | 0.174822 | + | 0.272028i | 0.917596 | − | 0.397514i | \(-0.130127\pi\) |
−0.742774 | + | 0.669542i | \(0.766490\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 113.290 | − | 248.071i | 0.148480 | − | 0.325126i | ||||
\(764\) | −57.1919 | − | 194.778i | −0.0748585 | − | 0.254945i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −441.765 | − | 509.824i | −0.576716 | − | 0.665566i | ||||
\(767\) | −149.429 | + | 21.4846i | −0.194822 | + | 0.0280112i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 386.110 | − | 445.595i | 0.502094 | − | 0.579447i | −0.446963 | − | 0.894553i | \(-0.647494\pi\) |
0.949057 | + | 0.315105i | \(0.102040\pi\) | |||||||
\(770\) | 26.7282 | − | 41.5899i | 0.0347120 | − | 0.0540129i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 101.681 | − | 117.347i | 0.131712 | − | 0.152003i | ||||
\(773\) | −196.734 | + | 670.014i | −0.254507 | + | 0.866771i | 0.728786 | + | 0.684741i | \(0.240085\pi\) |
−0.983293 | + | 0.182029i | \(0.941733\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −109.275 | − | 126.111i | −0.141001 | − | 0.162723i | ||||
\(776\) | 234.367 | − | 107.032i | 0.302020 | − | 0.137928i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.6347 | − | 45.1836i | 0.0265227 | − | 0.0580767i | ||||
\(779\) | −95.9525 | − | 13.7959i | −0.123174 | − | 0.0177097i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −642.641 | −0.822844 | ||||||||
\(782\) | 428.694 | − | 235.786i | 0.548202 | − | 0.301516i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −143.715 | + | 92.3600i | −0.183310 | + | 0.117806i | ||||
\(785\) | 188.803 | + | 27.1457i | 0.240513 | + | 0.0345805i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −963.580 | + | 282.933i | −1.22437 | + | 0.359508i | −0.829123 | − | 0.559067i | \(-0.811160\pi\) |
−0.395248 | + | 0.918574i | \(0.629341\pi\) | |||||||
\(788\) | −143.045 | + | 65.3265i | −0.181529 | + | 0.0829016i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −30.5715 | − | 212.629i | −0.0386981 | − | 0.269151i | ||||
\(791\) | 76.7796 | − | 261.487i | 0.0970665 | − | 0.330578i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −467.692 | − | 300.567i | −0.589775 | − | 0.379025i | ||||
\(794\) | −364.891 | + | 567.782i | −0.459561 | + | 0.715091i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −630.213 | − | 185.047i | −0.791725 | − | 0.232471i | ||||
\(797\) | −781.401 | + | 112.348i | −0.980428 | + | 0.140964i | −0.613849 | − | 0.789423i | \(-0.710380\pi\) |
−0.366578 | + | 0.930387i | \(0.619471\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.7160 | − | 32.2235i | −0.0184180 | − | 0.0403298i | ||||
\(800\) | −36.5620 | − | 124.519i | −0.0457025 | − | 0.155648i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 20.3698 | − | 141.675i | 0.0253988 | − | 0.176652i | ||||
\(803\) | −55.6871 | − | 86.6508i | −0.0693488 | − | 0.107909i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −39.8915 | − | 72.5286i | −0.0495546 | − | 0.0900977i | ||||
\(806\) | 113.920i | 0.141340i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −73.4265 | + | 510.693i | −0.0908744 | + | 0.632045i | ||||
\(809\) | −297.399 | − | 135.818i | −0.367613 | − | 0.167883i | 0.223039 | − | 0.974809i | \(-0.428402\pi\) |
−0.590652 | + | 0.806926i | \(0.701129\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −287.417 | − | 629.355i | −0.354398 | − | 0.776023i | −0.999925 | − | 0.0122855i | \(-0.996089\pi\) |
0.645527 | − | 0.763738i | \(-0.276638\pi\) | |||||||
\(812\) | −196.945 | + | 170.654i | −0.242544 | + | 0.210165i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 41.3613 | + | 12.1448i | 0.0508124 | + | 0.0149199i | ||||
\(815\) | 124.207 | + | 107.626i | 0.152401 | + | 0.132056i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 423.129 | + | 271.928i | 0.517906 | + | 0.332838i | ||||
\(818\) | 273.936 | + | 237.367i | 0.334885 | + | 0.290180i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.24891 | + | 22.5967i | 0.00396209 | + | 0.0275569i | ||||
\(821\) | −799.452 | + | 692.729i | −0.973754 | + | 0.843762i | −0.987735 | − | 0.156140i | \(-0.950095\pi\) |
0.0139812 | + | 0.999902i | \(0.495550\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −587.001 | + | 172.359i | −0.713246 | + | 0.209428i | −0.618173 | − | 0.786042i | \(-0.712127\pi\) |
−0.0950734 | + | 0.995470i | \(0.530309\pi\) | |||||||
\(824\) | −318.433 | − | 145.423i | −0.386448 | − | 0.176485i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 40.6784 | − | 26.1424i | 0.0492475 | − | 0.0316494i | ||||
\(827\) | − | 1319.77i | − | 1.59585i | −0.602754 | − | 0.797927i | \(-0.705930\pi\) | ||
0.602754 | − | 0.797927i | \(-0.294070\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 384.494 | 0.463805 | 0.231902 | − | 0.972739i | \(-0.425505\pi\) | ||||
0.231902 | + | 0.972739i | \(0.425505\pi\) | |||||||
\(830\) | 58.1115 | + | 90.4233i | 0.0700139 | + | 0.108944i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −36.8046 | + | 80.5909i | −0.0442363 | + | 0.0968641i | ||||
\(833\) | 180.987 | + | 616.384i | 0.217271 | + | 0.739957i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −231.621 | − | 267.305i | −0.277390 | − | 0.320125i | ||||
\(836\) | 234.314 | − | 33.6893i | 0.280280 | − | 0.0402982i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 92.5212 | − | 106.775i | 0.110407 | − | 0.127417i | ||||
\(839\) | 821.282 | − | 1277.94i | 0.978882 | − | 1.52317i | 0.132097 | − | 0.991237i | \(-0.457829\pi\) |
0.846786 | − | 0.531934i | \(-0.178535\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1216.42 | − | 1403.82i | 1.44639 | − | 1.66923i | ||||
\(842\) | −264.340 | + | 900.259i | −0.313943 | + | 1.06919i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 508.274 | + | 586.579i | 0.602220 | + | 0.694999i | ||||
\(845\) | 60.4966 | − | 27.6279i | 0.0715936 | − | 0.0326957i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 27.7673 | − | 60.8018i | 0.0327831 | − | 0.0717849i | ||||
\(848\) | 124.625 | + | 17.9184i | 0.146964 | + | 0.0211302i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −488.009 | −0.574128 | ||||||||
\(851\) | 50.8800 | − | 51.1915i | 0.0597885 | − | 0.0601545i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 198.492 | − | 127.563i | 0.232699 | − | 0.149546i | −0.419096 | − | 0.907942i | \(-0.637653\pi\) |
0.651794 | + | 0.758396i | \(0.274016\pi\) | |||||||
\(854\) | 176.258 | + | 25.3421i | 0.206391 | + | 0.0296746i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.82609 | − | 2.88520i | 0.0114791 | − | 0.00337056i | ||||
\(857\) | 1524.31 | − | 696.128i | 1.77866 | − | 0.812285i | 0.802047 | − | 0.597261i | \(-0.203744\pi\) |
0.976609 | − | 0.215024i | \(-0.0689829\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.66601 | − | 25.4976i | −0.00426776 | − | 0.0296829i | 0.987576 | − | 0.157140i | \(-0.0502275\pi\) |
−0.991844 | + | 0.127457i | \(0.959318\pi\) | |||||||
\(860\) | 33.3712 | − | 113.652i | 0.0388037 | − | 0.132153i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 645.902 | + | 415.096i | 0.749306 | + | 0.481550i | ||||
\(863\) | −437.661 | + | 681.014i | −0.507139 | + | 0.789124i | −0.996556 | − | 0.0829265i | \(-0.973573\pi\) |
0.489417 | + | 0.872050i | \(0.337210\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −50.0957 | − | 14.7094i | −0.0579141 | − | 0.0170051i | ||||
\(866\) | −349.628 | + | 50.2689i | −0.403728 | + | 0.0580473i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −15.1580 | − | 33.1915i | −0.0174632 | − | 0.0382390i | ||||
\(869\) | 289.711 | + | 986.667i | 0.333385 | + | 1.13540i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.5176 | − | 156.613i | 0.0258525 | − | 0.179808i | ||||
\(872\) | −166.260 | − | 258.706i | −0.190666 | − | 0.296682i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 137.377 | − | 371.783i | 0.157182 | − | 0.425381i | ||||
\(875\) | 172.537i | 0.197185i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −235.111 | + | 1635.23i | −0.268085 | + | 1.86457i | 0.198507 | + | 0.980100i | \(0.436391\pi\) |
−0.466592 | + | 0.884473i | \(0.654518\pi\) | |||||||
\(878\) | 565.228 | + | 258.131i | 0.643768 | + | 0.293999i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −23.1586 | − | 50.7104i | −0.0263166 | − | 0.0576254i | ||||
\(881\) | 867.447 | − | 751.647i | 0.984616 | − | 0.853175i | −0.00454808 | − | 0.999990i | \(-0.501448\pi\) |
0.989164 | + | 0.146815i | \(0.0469022\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1264.04 | − | 371.154i | −1.43152 | − | 0.420333i | −0.528137 | − | 0.849159i | \(-0.677109\pi\) |
−0.903387 | + | 0.428826i | \(0.858927\pi\) | |||||||
\(884\) | 251.787 | + | 218.175i | 0.284827 | + | 0.246804i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 794.549 | + | 510.626i | 0.896783 | + | 0.576327i | ||||
\(887\) | −160.651 | − | 139.205i | −0.181117 | − | 0.156939i | 0.559584 | − | 0.828774i | \(-0.310961\pi\) |
−0.740701 | + | 0.671835i | \(0.765506\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −37.3379 | − | 259.690i | −0.0419998 | − | 0.292115i | ||||
\(890\) | −66.7456 | + | 57.8354i | −0.0749951 | + | 0.0649836i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 725.799 | − | 213.114i | 0.813676 | − | 0.238917i | ||||
\(893\) | −26.1045 | − | 11.9215i | −0.0292324 | − | 0.0133500i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 41.6474 | − | 26.7651i | 0.0465334 | − | 0.0299052i | ||||
\(896\) | − | 28.3779i | − | 0.0316718i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −516.079 | −0.574699 | ||||||||
\(899\) | 204.281 | + | 317.867i | 0.227231 | + | 0.353578i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 196.683 | − | 430.675i | 0.218294 | − | 0.477996i | ||||
\(902\) | −30.7884 | − | 104.856i | −0.0341335 | − | 0.116248i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −201.246 | − | 232.250i | −0.222617 | − | 0.256914i | ||||
\(905\) | 157.743 | − | 22.6800i | 0.174301 | − | 0.0250608i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −598.058 | + | 690.196i | −0.659380 | + | 0.760966i | −0.982676 | − | 0.185332i | \(-0.940664\pi\) |
0.323295 | + | 0.946298i | \(0.395209\pi\) | |||||||
\(908\) | −124.395 | + | 193.563i | −0.136999 | + | 0.213175i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 36.9119 | − | 42.5986i | 0.0405625 | − | 0.0468117i | ||||
\(911\) | 425.493 | − | 1449.10i | 0.467061 | − | 1.59067i | −0.303193 | − | 0.952929i | \(-0.598053\pi\) |
0.770255 | − | 0.637736i | \(-0.220129\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −336.949 | − | 388.860i | −0.369057 | − | 0.425915i | ||||
\(914\) | 754.501 | − | 344.569i | 0.825493 | − | 0.376990i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 222.939 | − | 488.169i | 0.243384 | − | 0.532936i | ||||
\(917\) | −47.7129 | − | 6.86007i | −0.0520315 | − | 0.00748100i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −520.488 | −0.566363 | −0.283182 | − | 0.959066i | \(-0.591390\pi\) | ||||
−0.283182 | + | 0.959066i | \(0.591390\pi\) | |||||||
\(920\) | −93.1225 | − | 6.37466i | −0.101220 | − | 0.00692898i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 726.581 | − | 466.945i | 0.788048 | − | 0.506448i | ||||
\(923\) | −725.240 | − | 104.274i | −0.785742 | − | 0.112973i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −69.0754 | + | 20.2824i | −0.0746761 | + | 0.0219269i | ||||
\(926\) | −297.850 | + | 136.024i | −0.321653 | + | 0.146894i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 41.8204 | + | 290.867i | 0.0450651 | + | 0.313434i | ||||
\(929\) | 398.476 | − | 1357.08i | 0.428930 | − | 1.46080i | −0.407743 | − | 0.913097i | \(-0.633684\pi\) |
0.836673 | − | 0.547703i | \(-0.184498\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 437.804 | + | 281.360i | 0.470252 | + | 0.302212i | ||||
\(932\) | 383.221 | − | 596.303i | 0.411181 | − | 0.639810i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 43.6704 | + | 12.8228i | 0.0467563 | + | 0.0137289i | ||||
\(935\) | −207.502 | + | 29.8343i | −0.221928 | + | 0.0319084i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −524.755 | − | 1149.05i | −0.560037 | − | 1.22631i | −0.951935 | − | 0.306302i | \(-0.900908\pi\) |
0.391897 | − | 0.920009i | \(-0.371819\pi\) | |||||||
\(938\) | 14.2780 | + | 48.6265i | 0.0152218 | + | 0.0518406i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.961809 | + | 6.68953i | −0.00102320 | + | 0.00711652i | ||||
\(941\) | −82.3090 | − | 128.075i | −0.0874697 | − | 0.136105i | 0.794762 | − | 0.606922i | \(-0.207596\pi\) |
−0.882231 | + | 0.470816i | \(0.843959\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −178.910 | − | 38.3480i | −0.189724 | − | 0.0406660i | ||||
\(944\) | − | 54.5264i | − | 0.0577610i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −80.6951 | + | 561.246i | −0.0853013 | + | 0.593284i | ||||
\(947\) | 916.232 | + | 418.429i | 0.967510 | + | 0.441847i | 0.835554 | − | 0.549409i | \(-0.185147\pi\) |
0.131956 | + | 0.991256i | \(0.457874\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −48.7848 | − | 106.824i | −0.0514065 | − | 0.112565i | ||||
\(950\) | −298.778 | + | 258.893i | −0.314503 | + | 0.272519i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −102.390 | − | 30.0644i | −0.107552 | − | 0.0315802i | ||||
\(953\) | 1005.52 | + | 871.292i | 1.05511 | + | 0.914262i | 0.996464 | − | 0.0840166i | \(-0.0267749\pi\) |
0.0586503 | + | 0.998279i | \(0.481320\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 122.516 | + | 78.7360i | 0.128289 | + | 0.0824461i | ||||
\(956\) | 263.039 | + | 227.925i | 0.275146 | + | 0.238415i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 147.195 | + | 1023.77i | 0.153648 | + | 1.06865i | ||||
\(959\) | −167.562 | + | 145.193i | −0.174726 | + | 0.151401i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 871.309 | − | 255.839i | 0.906669 | − | 0.266222i | ||||
\(962\) | 44.7069 | + | 20.4170i | 0.0464729 | + | 0.0212235i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 778.706 | − | 500.444i | 0.807786 | − | 0.519132i | ||||
\(965\) | 111.394i | 0.115434i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −745.368 | −0.770804 | −0.385402 | − | 0.922749i | \(-0.625937\pi\) | ||||
−0.385402 | + | 0.922749i | \(0.625937\pi\) | |||||||
\(968\) | −40.7502 | − | 63.4085i | −0.0420973 | − | 0.0655046i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −76.7857 | + | 168.137i | −0.0791605 | + | 0.173337i | ||||
\(971\) | −441.628 | − | 1504.05i | −0.454818 | − | 1.54897i | −0.793803 | − | 0.608175i | \(-0.791902\pi\) |
0.338985 | − | 0.940792i | \(-0.389916\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20.1135 | − | 23.2122i | −0.0206717 | − | 0.0238564i | ||||
\(974\) | −713.110 | + | 102.530i | −0.732146 | + | 0.105267i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 131.496 | − | 151.754i | 0.134729 | − | 0.155486i | ||||
\(977\) | 371.839 | − | 578.592i | 0.380592 | − | 0.592213i | −0.597123 | − | 0.802150i | \(-0.703689\pi\) |
0.977715 | + | 0.209937i | \(0.0673258\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 276.857 | − | 319.510i | 0.282796 | − | 0.326364i | ||||
\(980\) | 34.5286 | − | 117.594i | 0.0352333 | − | 0.119993i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 387.146 | + | 446.791i | 0.394243 | + | 0.454980i | ||||
\(983\) | −553.885 | + | 252.951i | −0.563464 | + | 0.257325i | −0.676720 | − | 0.736241i | \(-0.736599\pi\) |
0.113256 | + | 0.993566i | \(0.463872\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 46.8658 | − | 102.622i | 0.0475795 | − | 0.104185i | ||||
\(986\) | 1093.78 | + | 157.262i | 1.10931 | + | 0.159495i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 269.897 | 0.273175 | ||||||||
\(989\) | 761.743 | + | 566.614i | 0.770215 | + | 0.572916i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 440.625 | − | 283.172i | 0.444627 | − | 0.285744i | −0.299108 | − | 0.954219i | \(-0.596689\pi\) |
0.743734 | + | 0.668475i | \(0.233053\pi\) | |||||||
\(992\) | −40.7275 | − | 5.85573i | −0.0410559 | − | 0.00590295i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 225.178 | − | 66.1183i | 0.226538 | − | 0.0665174i | ||||
\(995\) | 428.626 | − | 195.747i | 0.430780 | − | 0.196730i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 35.5525 | + | 247.273i | 0.0356595 | + | 0.248017i | 0.999852 | − | 0.0171849i | \(-0.00547038\pi\) |
−0.964193 | + | 0.265202i | \(0.914561\pi\) | |||||||
\(998\) | −227.138 | + | 773.562i | −0.227594 | + | 0.775112i | ||||
\(999\) | 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 | 414.3.k.b.35.6 | yes | 80 | |
3.2 | odd | 2 | inner | 414.3.k.b.35.3 | ✓ | 80 | |
23.2 | even | 11 | inner | 414.3.k.b.71.3 | yes | 80 | |
69.2 | odd | 22 | inner | 414.3.k.b.71.6 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.3.k.b.35.3 | ✓ | 80 | 3.2 | odd | 2 | inner | |
414.3.k.b.35.6 | yes | 80 | 1.1 | even | 1 | trivial | |
414.3.k.b.71.3 | yes | 80 | 23.2 | even | 11 | inner | |
414.3.k.b.71.6 | yes | 80 | 69.2 | odd | 22 | inner |