Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (of order \(11\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Character | \(\chi\) | \(=\) | 230.71 |
Dual form | 230.2.g.d.81.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | 0.00806642 | + | 0.0561032i | 0.00465715 | + | 0.0323912i | 0.992018 | − | 0.126100i | \(-0.0402461\pi\) |
−0.987360 | + | 0.158491i | \(0.949337\pi\) | |||||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | 0.959493 | + | 0.281733i | 0.429098 | + | 0.125995i | ||||
\(6\) | −0.0235458 | + | 0.0515580i | −0.00961252 | + | 0.0210485i | ||||
\(7\) | −3.27862 | + | 3.78373i | −1.23920 | + | 1.43012i | −0.374959 | + | 0.927041i | \(0.622343\pi\) |
−0.864243 | + | 0.503074i | \(0.832202\pi\) | |||||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | 2.87540 | − | 0.844293i | 0.958465 | − | 0.281431i | ||||
\(10\) | 0.654861 | + | 0.755750i | 0.207085 | + | 0.238989i | ||||
\(11\) | 1.87250 | − | 1.20338i | 0.564579 | − | 0.362833i | −0.227005 | − | 0.973894i | \(-0.572893\pi\) |
0.791584 | + | 0.611061i | \(0.209257\pi\) | |||||||
\(12\) | −0.0476823 | + | 0.0306436i | −0.0137647 | + | 0.00884604i | ||||
\(13\) | 1.96248 | + | 2.26482i | 0.544294 | + | 0.628149i | 0.959544 | − | 0.281558i | \(-0.0908513\pi\) |
−0.415250 | + | 0.909707i | \(0.636306\pi\) | |||||||
\(14\) | −4.80379 | + | 1.41052i | −1.28387 | + | 0.376977i | ||||
\(15\) | −0.00806642 | + | 0.0561032i | −0.00208274 | + | 0.0144858i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | 0.486889 | − | 1.06614i | 0.118088 | − | 0.258576i | −0.841353 | − | 0.540486i | \(-0.818241\pi\) |
0.959441 | + | 0.281909i | \(0.0909678\pi\) | |||||||
\(18\) | 2.87540 | + | 0.844293i | 0.677737 | + | 0.199002i | ||||
\(19\) | −3.02200 | − | 6.61725i | −0.693293 | − | 1.51810i | −0.847918 | − | 0.530127i | \(-0.822144\pi\) |
0.154625 | − | 0.987973i | \(-0.450583\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | −0.238726 | − | 0.153420i | −0.0520943 | − | 0.0334790i | ||||
\(22\) | 2.22584 | 0.474551 | ||||||||
\(23\) | −1.65275 | − | 4.50205i | −0.344622 | − | 0.938742i | ||||
\(24\) | −0.0566801 | −0.0115698 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | 0.426488 | + | 2.96629i | 0.0836411 | + | 0.581737i | ||||
\(27\) | 0.141199 | + | 0.309183i | 0.0271738 | + | 0.0595022i | ||||
\(28\) | −4.80379 | − | 1.41052i | −0.907831 | − | 0.266563i | ||||
\(29\) | 1.15881 | − | 2.53744i | 0.215186 | − | 0.471191i | −0.771000 | − | 0.636835i | \(-0.780243\pi\) |
0.986186 | + | 0.165644i | \(0.0529704\pi\) | |||||||
\(30\) | −0.0371176 | + | 0.0428360i | −0.00677671 | + | 0.00782074i | ||||
\(31\) | −1.12569 | + | 7.82931i | −0.202179 | + | 1.40619i | 0.595622 | + | 0.803265i | \(0.296906\pi\) |
−0.797801 | + | 0.602921i | \(0.794003\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | 0.0826179 | + | 0.0953461i | 0.0143819 | + | 0.0165976i | ||||
\(34\) | 0.985994 | − | 0.633660i | 0.169097 | − | 0.108672i | ||||
\(35\) | −4.21181 | + | 2.70677i | −0.711926 | + | 0.457527i | ||||
\(36\) | 1.96248 | + | 2.26482i | 0.327080 | + | 0.377470i | ||||
\(37\) | −0.478771 | + | 0.140580i | −0.0787095 | + | 0.0231112i | −0.320850 | − | 0.947130i | \(-0.603969\pi\) |
0.242141 | + | 0.970241i | \(0.422150\pi\) | |||||||
\(38\) | 1.03529 | − | 7.20060i | 0.167946 | − | 1.16809i | ||||
\(39\) | −0.111234 | + | 0.128370i | −0.0178116 | + | 0.0205557i | ||||
\(40\) | −0.415415 | + | 0.909632i | −0.0656829 | + | 0.143825i | ||||
\(41\) | −5.31941 | − | 1.56192i | −0.830752 | − | 0.243931i | −0.161412 | − | 0.986887i | \(-0.551605\pi\) |
−0.669340 | + | 0.742956i | \(0.733423\pi\) | |||||||
\(42\) | −0.117884 | − | 0.258130i | −0.0181899 | − | 0.0398303i | ||||
\(43\) | −1.47670 | − | 10.2706i | −0.225194 | − | 1.56626i | −0.717952 | − | 0.696092i | \(-0.754920\pi\) |
0.492759 | − | 0.870166i | \(-0.335989\pi\) | |||||||
\(44\) | 1.87250 | + | 1.20338i | 0.282290 | + | 0.181416i | ||||
\(45\) | 2.99679 | 0.446735 | ||||||||
\(46\) | 1.04361 | − | 4.68091i | 0.153872 | − | 0.690162i | ||||
\(47\) | 4.15586 | 0.606194 | 0.303097 | − | 0.952960i | \(-0.401979\pi\) | ||||
0.303097 | + | 0.952960i | \(0.401979\pi\) | |||||||
\(48\) | −0.0476823 | − | 0.0306436i | −0.00688235 | − | 0.00442302i | ||||
\(49\) | −2.57106 | − | 17.8821i | −0.367294 | − | 2.55458i | ||||
\(50\) | 0.415415 | + | 0.909632i | 0.0587486 | + | 0.128641i | ||||
\(51\) | 0.0637412 | + | 0.0187161i | 0.00892555 | + | 0.00262078i | ||||
\(52\) | −1.24491 | + | 2.72598i | −0.172638 | + | 0.378025i | ||||
\(53\) | −1.78664 | + | 2.06189i | −0.245414 | + | 0.283223i | −0.865070 | − | 0.501650i | \(-0.832726\pi\) |
0.619657 | + | 0.784873i | \(0.287272\pi\) | |||||||
\(54\) | −0.0483726 | + | 0.336439i | −0.00658268 | + | 0.0457835i | ||||
\(55\) | 2.13568 | − | 0.627092i | 0.287975 | − | 0.0845571i | ||||
\(56\) | −3.27862 | − | 3.78373i | −0.438124 | − | 0.505622i | ||||
\(57\) | 0.346872 | − | 0.222921i | 0.0459443 | − | 0.0295266i | ||||
\(58\) | 2.34670 | − | 1.50813i | 0.308137 | − | 0.198027i | ||||
\(59\) | 1.06069 | + | 1.22411i | 0.138091 | + | 0.159365i | 0.820582 | − | 0.571528i | \(-0.193649\pi\) |
−0.682492 | + | 0.730893i | \(0.739104\pi\) | |||||||
\(60\) | −0.0543842 | + | 0.0159686i | −0.00702097 | + | 0.00206154i | ||||
\(61\) | 0.795049 | − | 5.52969i | 0.101796 | − | 0.708004i | −0.873455 | − | 0.486904i | \(-0.838126\pi\) |
0.975251 | − | 0.221100i | \(-0.0709648\pi\) | |||||||
\(62\) | −5.17983 | + | 5.97785i | −0.657839 | + | 0.759187i | ||||
\(63\) | −6.23276 | + | 13.6478i | −0.785254 | + | 1.71947i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 1.24491 | + | 2.72598i | 0.154412 | + | 0.338116i | ||||
\(66\) | 0.0179546 | + | 0.124877i | 0.00221006 | + | 0.0153713i | ||||
\(67\) | 5.27811 | + | 3.39204i | 0.644824 | + | 0.414403i | 0.821772 | − | 0.569817i | \(-0.192986\pi\) |
−0.176948 | + | 0.984220i | \(0.556622\pi\) | |||||||
\(68\) | 1.17205 | 0.142132 | ||||||||
\(69\) | 0.239247 | − | 0.129040i | 0.0288020 | − | 0.0155346i | ||||
\(70\) | −5.00659 | −0.598402 | ||||||||
\(71\) | 8.24915 | + | 5.30140i | 0.978994 | + | 0.629161i | 0.929192 | − | 0.369598i | \(-0.120505\pi\) |
0.0498019 | + | 0.998759i | \(0.484141\pi\) | |||||||
\(72\) | 0.426487 | + | 2.96628i | 0.0502620 | + | 0.349580i | ||||
\(73\) | 0.699996 | + | 1.53278i | 0.0819283 | + | 0.179398i | 0.946163 | − | 0.323691i | \(-0.104924\pi\) |
−0.864234 | + | 0.503089i | \(0.832197\pi\) | |||||||
\(74\) | −0.478771 | − | 0.140580i | −0.0556560 | − | 0.0163421i | ||||
\(75\) | −0.0235458 | + | 0.0515580i | −0.00271883 | + | 0.00595341i | ||||
\(76\) | 4.76388 | − | 5.49781i | 0.546454 | − | 0.630642i | ||||
\(77\) | −1.58594 | + | 11.0305i | −0.180735 | + | 1.25704i | ||||
\(78\) | −0.162978 | + | 0.0478547i | −0.0184536 | + | 0.00541847i | ||||
\(79\) | −7.24418 | − | 8.36023i | −0.815034 | − | 0.940600i | 0.184070 | − | 0.982913i | \(-0.441073\pi\) |
−0.999104 | + | 0.0423134i | \(0.986527\pi\) | |||||||
\(80\) | −0.841254 | + | 0.540641i | −0.0940550 | + | 0.0604455i | ||||
\(81\) | 7.54697 | − | 4.85014i | 0.838552 | − | 0.538905i | ||||
\(82\) | −3.63053 | − | 4.18986i | −0.400925 | − | 0.462693i | ||||
\(83\) | 1.31824 | − | 0.387070i | 0.144695 | − | 0.0424864i | −0.208583 | − | 0.978005i | \(-0.566885\pi\) |
0.353278 | + | 0.935518i | \(0.385067\pi\) | |||||||
\(84\) | 0.0403853 | − | 0.280886i | 0.00440640 | − | 0.0306472i | ||||
\(85\) | 0.767532 | − | 0.885779i | 0.0832505 | − | 0.0960762i | ||||
\(86\) | 4.31045 | − | 9.43858i | 0.464808 | − | 1.01779i | ||||
\(87\) | 0.151706 | + | 0.0445449i | 0.0162646 | + | 0.00477572i | ||||
\(88\) | 0.924648 | + | 2.02470i | 0.0985678 | + | 0.215833i | ||||
\(89\) | 2.30892 | + | 16.0589i | 0.244745 | + | 1.70224i | 0.627688 | + | 0.778465i | \(0.284001\pi\) |
−0.382943 | + | 0.923772i | \(0.625089\pi\) | |||||||
\(90\) | 2.52106 | + | 1.62019i | 0.265743 | + | 0.170783i | ||||
\(91\) | −15.0037 | −1.57282 | ||||||||
\(92\) | 3.40863 | − | 3.37361i | 0.355374 | − | 0.351723i | ||||
\(93\) | −0.448330 | −0.0464896 | ||||||||
\(94\) | 3.49613 | + | 2.24683i | 0.360598 | + | 0.231742i | ||||
\(95\) | −1.03529 | − | 7.20060i | −0.106218 | − | 0.738766i | ||||
\(96\) | −0.0235458 | − | 0.0515580i | −0.00240313 | − | 0.00526212i | ||||
\(97\) | 4.73556 | + | 1.39049i | 0.480823 | + | 0.141182i | 0.513157 | − | 0.858295i | \(-0.328476\pi\) |
−0.0323340 | + | 0.999477i | \(0.510294\pi\) | |||||||
\(98\) | 7.50487 | − | 16.4334i | 0.758107 | − | 1.66002i | ||||
\(99\) | 4.36817 | − | 5.04113i | 0.439017 | − | 0.506653i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | 2.44810 | − | 0.718828i | 0.243596 | − | 0.0715261i | −0.157656 | − | 0.987494i | \(-0.550394\pi\) |
0.401251 | + | 0.915968i | \(0.368575\pi\) | |||||||
\(102\) | 0.0435038 | + | 0.0502060i | 0.00430752 | + | 0.00497114i | ||||
\(103\) | −13.8454 | + | 8.89790i | −1.36423 | + | 0.876737i | −0.998541 | − | 0.0540011i | \(-0.982803\pi\) |
−0.365688 | + | 0.930738i | \(0.619166\pi\) | |||||||
\(104\) | −2.52106 | + | 1.62019i | −0.247210 | + | 0.158872i | ||||
\(105\) | −0.185833 | − | 0.214462i | −0.0181354 | − | 0.0209294i | ||||
\(106\) | −2.61776 | + | 0.768644i | −0.254259 | + | 0.0746573i | ||||
\(107\) | −2.77233 | + | 19.2819i | −0.268011 | + | 1.86406i | 0.199266 | + | 0.979945i | \(0.436144\pi\) |
−0.467277 | + | 0.884111i | \(0.654765\pi\) | |||||||
\(108\) | −0.222586 | + | 0.256878i | −0.0214184 | + | 0.0247181i | ||||
\(109\) | −1.17928 | + | 2.58227i | −0.112955 | + | 0.247337i | −0.957664 | − | 0.287889i | \(-0.907046\pi\) |
0.844709 | + | 0.535226i | \(0.179774\pi\) | |||||||
\(110\) | 2.13568 | + | 0.627092i | 0.203629 | + | 0.0597909i | ||||
\(111\) | −0.0117490 | − | 0.0257266i | −0.00111516 | − | 0.00244186i | ||||
\(112\) | −0.712512 | − | 4.95563i | −0.0673261 | − | 0.468263i | ||||
\(113\) | −7.47828 | − | 4.80600i | −0.703498 | − | 0.452111i | 0.139364 | − | 0.990241i | \(-0.455494\pi\) |
−0.842861 | + | 0.538131i | \(0.819131\pi\) | |||||||
\(114\) | 0.412328 | 0.0386180 | ||||||||
\(115\) | −0.317426 | − | 4.78532i | −0.0296001 | − | 0.446233i | ||||
\(116\) | 2.78953 | 0.259001 | ||||||||
\(117\) | 7.55508 | + | 4.85536i | 0.698468 | + | 0.448878i | ||||
\(118\) | 0.230511 | + | 1.60324i | 0.0212202 | + | 0.147590i | ||||
\(119\) | 2.43765 | + | 5.33771i | 0.223459 | + | 0.489307i | ||||
\(120\) | −0.0543842 | − | 0.0159686i | −0.00496457 | − | 0.00145773i | ||||
\(121\) | −2.51145 | + | 5.49930i | −0.228313 | + | 0.499936i | ||||
\(122\) | 3.65841 | − | 4.22203i | 0.331217 | − | 0.382245i | ||||
\(123\) | 0.0447201 | − | 0.311035i | 0.00403227 | − | 0.0280451i | ||||
\(124\) | −7.58942 | + | 2.22845i | −0.681550 | + | 0.200121i | ||||
\(125\) | 0.654861 | + | 0.755750i | 0.0585725 | + | 0.0675963i | ||||
\(126\) | −12.6219 | + | 8.11161i | −1.12445 | + | 0.722640i | ||||
\(127\) | 2.88908 | − | 1.85670i | 0.256364 | − | 0.164755i | −0.406146 | − | 0.913808i | \(-0.633127\pi\) |
0.662510 | + | 0.749053i | \(0.269491\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | 0.564304 | − | 0.165695i | 0.0496842 | − | 0.0145886i | ||||
\(130\) | −0.426488 | + | 2.96629i | −0.0374055 | + | 0.260161i | ||||
\(131\) | −12.5263 | + | 14.4561i | −1.09443 | + | 1.26304i | −0.132072 | + | 0.991240i | \(0.542163\pi\) |
−0.962355 | + | 0.271796i | \(0.912382\pi\) | |||||||
\(132\) | −0.0524092 | + | 0.114760i | −0.00456163 | + | 0.00998858i | ||||
\(133\) | 34.9459 | + | 10.2610i | 3.03019 | + | 0.889744i | ||||
\(134\) | 2.60636 | + | 5.70713i | 0.225155 | + | 0.493021i | ||||
\(135\) | 0.0483726 | + | 0.336439i | 0.00416325 | + | 0.0289561i | ||||
\(136\) | 0.985994 | + | 0.633660i | 0.0845483 | + | 0.0543359i | ||||
\(137\) | −17.0162 | −1.45379 | −0.726897 | − | 0.686747i | \(-0.759038\pi\) | ||||
−0.726897 | + | 0.686747i | \(0.759038\pi\) | |||||||
\(138\) | 0.271032 | + | 0.0207918i | 0.0230718 | + | 0.00176991i | ||||
\(139\) | 3.94931 | 0.334976 | 0.167488 | − | 0.985874i | \(-0.446434\pi\) | ||||
0.167488 | + | 0.985874i | \(0.446434\pi\) | |||||||
\(140\) | −4.21181 | − | 2.70677i | −0.355963 | − | 0.228764i | ||||
\(141\) | 0.0335229 | + | 0.233157i | 0.00282314 | + | 0.0196354i | ||||
\(142\) | 4.07347 | + | 8.91965i | 0.341838 | + | 0.748521i | ||||
\(143\) | 6.40018 | + | 1.87926i | 0.535210 | + | 0.157152i | ||||
\(144\) | −1.24491 | + | 2.72597i | −0.103743 | + | 0.227164i | ||||
\(145\) | 1.82675 | − | 2.10818i | 0.151703 | − | 0.175075i | ||||
\(146\) | −0.239808 | + | 1.66790i | −0.0198466 | + | 0.138036i | ||||
\(147\) | 0.982503 | − | 0.288489i | 0.0810355 | − | 0.0237942i | ||||
\(148\) | −0.326765 | − | 0.377107i | −0.0268599 | − | 0.0309980i | ||||
\(149\) | 15.7313 | − | 10.1099i | 1.28876 | − | 0.828234i | 0.296817 | − | 0.954934i | \(-0.404075\pi\) |
0.991941 | + | 0.126700i | \(0.0404385\pi\) | |||||||
\(150\) | −0.0476823 | + | 0.0306436i | −0.00389325 | + | 0.00250204i | ||||
\(151\) | −12.0277 | − | 13.8807i | −0.978802 | − | 1.12960i | −0.991556 | − | 0.129679i | \(-0.958605\pi\) |
0.0127544 | − | 0.999919i | \(-0.495940\pi\) | |||||||
\(152\) | 6.97997 | − | 2.04950i | 0.566150 | − | 0.166237i | ||||
\(153\) | 0.499866 | − | 3.47664i | 0.0404118 | − | 0.281070i | ||||
\(154\) | −7.29769 | + | 8.42198i | −0.588065 | + | 0.678663i | ||||
\(155\) | −3.28586 | + | 7.19503i | −0.263927 | + | 0.577919i | ||||
\(156\) | −0.162978 | − | 0.0478547i | −0.0130487 | − | 0.00383144i | ||||
\(157\) | −5.19036 | − | 11.3653i | −0.414236 | − | 0.907050i | −0.995626 | − | 0.0934256i | \(-0.970218\pi\) |
0.581390 | − | 0.813625i | \(-0.302509\pi\) | |||||||
\(158\) | −1.57431 | − | 10.9496i | −0.125246 | − | 0.871102i | ||||
\(159\) | −0.130091 | − | 0.0836041i | −0.0103168 | − | 0.00663024i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 22.4533 | + | 8.50696i | 1.76956 | + | 0.670442i | ||||
\(162\) | 8.97110 | 0.704836 | ||||||||
\(163\) | 2.83683 | + | 1.82312i | 0.222197 | + | 0.142798i | 0.647004 | − | 0.762486i | \(-0.276022\pi\) |
−0.424807 | + | 0.905284i | \(0.639658\pi\) | |||||||
\(164\) | −0.788991 | − | 5.48755i | −0.0616098 | − | 0.428506i | ||||
\(165\) | 0.0524092 | + | 0.114760i | 0.00408005 | + | 0.00893406i | ||||
\(166\) | 1.31824 | + | 0.387070i | 0.102315 | + | 0.0300424i | ||||
\(167\) | 8.27577 | − | 18.1214i | 0.640398 | − | 1.40228i | −0.259315 | − | 0.965793i | \(-0.583497\pi\) |
0.899713 | − | 0.436483i | \(-0.143776\pi\) | |||||||
\(168\) | 0.185833 | − | 0.214462i | 0.0143373 | − | 0.0165461i | ||||
\(169\) | 0.571998 | − | 3.97833i | 0.0439998 | − | 0.306026i | ||||
\(170\) | 1.12458 | − | 0.330206i | 0.0862511 | − | 0.0253256i | ||||
\(171\) | −14.2763 | − | 16.4758i | −1.09174 | − | 1.25993i | ||||
\(172\) | 8.72906 | − | 5.60983i | 0.665585 | − | 0.427745i | ||||
\(173\) | −14.3666 | + | 9.23286i | −1.09227 | + | 0.701961i | −0.957360 | − | 0.288896i | \(-0.906712\pi\) |
−0.134913 | + | 0.990857i | \(0.543075\pi\) | |||||||
\(174\) | 0.103540 | + | 0.119492i | 0.00784938 | + | 0.00905867i | ||||
\(175\) | −4.80379 | + | 1.41052i | −0.363132 | + | 0.106625i | ||||
\(176\) | −0.316770 | + | 2.20319i | −0.0238775 | + | 0.166071i | ||||
\(177\) | −0.0601203 | + | 0.0693825i | −0.00451892 | + | 0.00521511i | ||||
\(178\) | −6.73970 | + | 14.7579i | −0.505162 | + | 1.10615i | ||||
\(179\) | 12.5158 | + | 3.67497i | 0.935474 | + | 0.274680i | 0.713727 | − | 0.700424i | \(-0.247006\pi\) |
0.221747 | + | 0.975104i | \(0.428824\pi\) | |||||||
\(180\) | 1.24491 | + | 2.72597i | 0.0927901 | + | 0.203182i | ||||
\(181\) | 0.869269 | + | 6.04590i | 0.0646122 | + | 0.449388i | 0.996287 | + | 0.0860945i | \(0.0274387\pi\) |
−0.931675 | + | 0.363294i | \(0.881652\pi\) | |||||||
\(182\) | −12.6219 | − | 8.11162i | −0.935599 | − | 0.601273i | ||||
\(183\) | 0.316646 | 0.0234072 | ||||||||
\(184\) | 4.69143 | − | 0.995216i | 0.345857 | − | 0.0733683i | ||||
\(185\) | −0.498984 | −0.0366860 | ||||||||
\(186\) | −0.377159 | − | 0.242385i | −0.0276546 | − | 0.0177726i | ||||
\(187\) | −0.371272 | − | 2.58225i | −0.0271501 | − | 0.188833i | ||||
\(188\) | 1.72641 | + | 3.78030i | 0.125911 | + | 0.275707i | ||||
\(189\) | −1.63280 | − | 0.479434i | −0.118769 | − | 0.0348737i | ||||
\(190\) | 3.02200 | − | 6.61725i | 0.219239 | − | 0.480066i | ||||
\(191\) | 1.67975 | − | 1.93853i | 0.121542 | − | 0.140267i | −0.691717 | − | 0.722168i | \(-0.743146\pi\) |
0.813259 | + | 0.581901i | \(0.197691\pi\) | |||||||
\(192\) | 0.00806642 | − | 0.0561032i | 0.000582144 | − | 0.00404890i | ||||
\(193\) | −10.6989 | + | 3.14148i | −0.770124 | + | 0.226129i | −0.643112 | − | 0.765772i | \(-0.722357\pi\) |
−0.127012 | + | 0.991901i | \(0.540539\pi\) | |||||||
\(194\) | 3.23205 | + | 3.72999i | 0.232048 | + | 0.267797i | ||||
\(195\) | −0.142894 | + | 0.0918324i | −0.0102329 | + | 0.00657626i | ||||
\(196\) | 15.1981 | − | 9.76720i | 1.08558 | − | 0.697657i | ||||
\(197\) | 4.98938 | + | 5.75806i | 0.355479 | + | 0.410245i | 0.905120 | − | 0.425156i | \(-0.139781\pi\) |
−0.549641 | + | 0.835401i | \(0.685235\pi\) | |||||||
\(198\) | 6.40018 | − | 1.87926i | 0.454841 | − | 0.133553i | ||||
\(199\) | −2.25966 | + | 15.7163i | −0.160183 | + | 1.11410i | 0.738104 | + | 0.674687i | \(0.235721\pi\) |
−0.898287 | + | 0.439410i | \(0.855188\pi\) | |||||||
\(200\) | −0.654861 | + | 0.755750i | −0.0463056 | + | 0.0534396i | ||||
\(201\) | −0.147729 | + | 0.323481i | −0.0104200 | + | 0.0228166i | ||||
\(202\) | 2.44810 | + | 0.718828i | 0.172248 | + | 0.0505766i | ||||
\(203\) | 5.80169 | + | 12.7039i | 0.407199 | + | 0.891641i | ||||
\(204\) | 0.00945428 | + | 0.0657559i | 0.000661932 | + | 0.00460384i | ||||
\(205\) | −4.66389 | − | 2.99730i | −0.325740 | − | 0.209341i | ||||
\(206\) | −16.4581 | −1.14669 | ||||||||
\(207\) | −8.55335 | − | 11.5498i | −0.594499 | − | 0.802764i | ||||
\(208\) | −2.99679 | −0.207790 | ||||||||
\(209\) | −13.6217 | − | 8.75416i | −0.942236 | − | 0.605538i | ||||
\(210\) | −0.0403853 | − | 0.280886i | −0.00278685 | − | 0.0193830i | ||||
\(211\) | −0.623147 | − | 1.36450i | −0.0428992 | − | 0.0939361i | 0.886969 | − | 0.461829i | \(-0.152807\pi\) |
−0.929868 | + | 0.367893i | \(0.880079\pi\) | |||||||
\(212\) | −2.61776 | − | 0.768644i | −0.179788 | − | 0.0527907i | ||||
\(213\) | −0.230885 | + | 0.505567i | −0.0158200 | + | 0.0346409i | ||||
\(214\) | −12.7568 | + | 14.7222i | −0.872039 | + | 1.00639i | ||||
\(215\) | 1.47670 | − | 10.2706i | 0.100710 | − | 0.700452i | ||||
\(216\) | −0.326130 | + | 0.0957605i | −0.0221904 | + | 0.00651568i | ||||
\(217\) | −25.9333 | − | 29.9286i | −1.76047 | − | 2.03169i | ||||
\(218\) | −2.38816 | + | 1.53478i | −0.161747 | + | 0.103948i | ||||
\(219\) | −0.0803472 | + | 0.0516360i | −0.00542936 | + | 0.00348924i | ||||
\(220\) | 1.45762 | + | 1.68218i | 0.0982725 | + | 0.113412i | ||||
\(221\) | 3.37012 | − | 0.989557i | 0.226699 | − | 0.0665648i | ||||
\(222\) | 0.00402501 | − | 0.0279946i | 0.000270141 | − | 0.00187887i | ||||
\(223\) | 5.83330 | − | 6.73199i | 0.390627 | − | 0.450808i | −0.526040 | − | 0.850460i | \(-0.676324\pi\) |
0.916667 | + | 0.399652i | \(0.130869\pi\) | |||||||
\(224\) | 2.07981 | − | 4.55416i | 0.138963 | − | 0.304287i | ||||
\(225\) | 2.87540 | + | 0.844293i | 0.191693 | + | 0.0562862i | ||||
\(226\) | −3.69281 | − | 8.08613i | −0.245642 | − | 0.537881i | ||||
\(227\) | 0.611220 | + | 4.25113i | 0.0405681 | + | 0.282157i | 1.00000 | 0.000216675i | \(6.89699e-5\pi\) | |
−0.959432 | + | 0.281940i | \(0.909022\pi\) | |||||||
\(228\) | 0.346872 | + | 0.222921i | 0.0229722 | + | 0.0147633i | ||||
\(229\) | −17.8967 | −1.18265 | −0.591324 | − | 0.806434i | \(-0.701395\pi\) | ||||
−0.591324 | + | 0.806434i | \(0.701395\pi\) | |||||||
\(230\) | 2.32010 | − | 4.19728i | 0.152983 | − | 0.276760i | ||||
\(231\) | −0.631636 | −0.0415586 | ||||||||
\(232\) | 2.34670 | + | 1.50813i | 0.154068 | + | 0.0990137i | ||||
\(233\) | −3.88039 | − | 26.9887i | −0.254213 | − | 1.76809i | −0.572318 | − | 0.820032i | \(-0.693956\pi\) |
0.318106 | − | 0.948055i | \(-0.396953\pi\) | |||||||
\(234\) | 3.73074 | + | 8.16917i | 0.243886 | + | 0.534036i | ||||
\(235\) | 3.98752 | + | 1.17084i | 0.260117 | + | 0.0763772i | ||||
\(236\) | −0.672858 | + | 1.47335i | −0.0437993 | + | 0.0959071i | ||||
\(237\) | 0.410601 | − | 0.473859i | 0.0266714 | − | 0.0307805i | ||||
\(238\) | −0.835103 | + | 5.80827i | −0.0541317 | + | 0.376494i | ||||
\(239\) | 13.2810 | − | 3.89964i | 0.859074 | − | 0.252247i | 0.177612 | − | 0.984101i | \(-0.443163\pi\) |
0.681462 | + | 0.731854i | \(0.261345\pi\) | |||||||
\(240\) | −0.0371176 | − | 0.0428360i | −0.00239593 | − | 0.00276505i | ||||
\(241\) | 12.7160 | − | 8.17210i | 0.819112 | − | 0.526411i | −0.0626891 | − | 0.998033i | \(-0.519968\pi\) |
0.881801 | + | 0.471622i | \(0.156331\pi\) | |||||||
\(242\) | −5.08591 | + | 3.26851i | −0.326935 | + | 0.210108i | ||||
\(243\) | 1.00074 | + | 1.15492i | 0.0641978 | + | 0.0740882i | ||||
\(244\) | 5.36026 | − | 1.57391i | 0.343155 | − | 0.100759i | ||||
\(245\) | 2.57106 | − | 17.8821i | 0.164259 | − | 1.14244i | ||||
\(246\) | 0.205779 | − | 0.237482i | 0.0131200 | − | 0.0151413i | ||||
\(247\) | 9.05629 | − | 19.8305i | 0.576238 | − | 1.26178i | ||||
\(248\) | −7.58942 | − | 2.22845i | −0.481929 | − | 0.141507i | ||||
\(249\) | 0.0323493 | + | 0.0708351i | 0.00205005 | + | 0.00448899i | ||||
\(250\) | 0.142315 | + | 0.989821i | 0.00900078 | + | 0.0626018i | ||||
\(251\) | 16.5278 | + | 10.6217i | 1.04322 | + | 0.670438i | 0.945782 | − | 0.324803i | \(-0.105298\pi\) |
0.0974408 | + | 0.995241i | \(0.468934\pi\) | |||||||
\(252\) | −15.0037 | −0.945144 | ||||||||
\(253\) | −8.51244 | − | 6.44119i | −0.535173 | − | 0.404954i | ||||
\(254\) | 3.43426 | 0.215484 | ||||||||
\(255\) | 0.0558863 | + | 0.0359159i | 0.00349973 | + | 0.00224914i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 0.563476 | + | 1.23384i | 0.0351487 | + | 0.0769648i | 0.926392 | − | 0.376561i | \(-0.122893\pi\) |
−0.891243 | + | 0.453526i | \(0.850166\pi\) | |||||||
\(258\) | 0.564304 | + | 0.165695i | 0.0351320 | + | 0.0103157i | ||||
\(259\) | 1.03779 | − | 2.27245i | 0.0644853 | − | 0.141203i | ||||
\(260\) | −1.96248 | + | 2.26482i | −0.121708 | + | 0.140458i | ||||
\(261\) | 1.18970 | − | 8.27453i | 0.0736404 | − | 0.512180i | ||||
\(262\) | −18.3533 | + | 5.38903i | −1.13387 | + | 0.332935i | ||||
\(263\) | −6.12361 | − | 7.06702i | −0.377598 | − | 0.435771i | 0.534861 | − | 0.844940i | \(-0.320364\pi\) |
−0.912459 | + | 0.409169i | \(0.865819\pi\) | |||||||
\(264\) | −0.106133 | + | 0.0682078i | −0.00653206 | + | 0.00419790i | ||||
\(265\) | −2.29517 | + | 1.47502i | −0.140991 | + | 0.0906095i | ||||
\(266\) | 23.8508 | + | 27.5253i | 1.46239 | + | 1.68768i | ||||
\(267\) | −0.882329 | + | 0.259075i | −0.0539977 | + | 0.0158551i | ||||
\(268\) | −0.892898 | + | 6.21024i | −0.0545424 | + | 0.379351i | ||||
\(269\) | −13.0797 | + | 15.0948i | −0.797485 | + | 0.920347i | −0.998241 | − | 0.0592947i | \(-0.981115\pi\) |
0.200756 | + | 0.979641i | \(0.435660\pi\) | |||||||
\(270\) | −0.141199 | + | 0.309183i | −0.00859310 | + | 0.0188163i | ||||
\(271\) | −21.4341 | − | 6.29362i | −1.30203 | − | 0.382310i | −0.444053 | − | 0.896000i | \(-0.646460\pi\) |
−0.857976 | + | 0.513690i | \(0.828278\pi\) | |||||||
\(272\) | 0.486889 | + | 1.06614i | 0.0295220 | + | 0.0646441i | ||||
\(273\) | −0.121026 | − | 0.841756i | −0.00732484 | − | 0.0509454i | ||||
\(274\) | −14.3149 | − | 9.19966i | −0.864798 | − | 0.555772i | ||||
\(275\) | 2.22584 | 0.134223 | ||||||||
\(276\) | 0.216766 | + | 0.164022i | 0.0130478 | + | 0.00987297i | ||||
\(277\) | −18.2078 | −1.09400 | −0.547000 | − | 0.837132i | \(-0.684230\pi\) | ||||
−0.547000 | + | 0.837132i | \(0.684230\pi\) | |||||||
\(278\) | 3.32237 | + | 2.13516i | 0.199263 | + | 0.128058i | ||||
\(279\) | 3.37344 | + | 23.4628i | 0.201963 | + | 1.40468i | ||||
\(280\) | −2.07981 | − | 4.55416i | −0.124293 | − | 0.272163i | ||||
\(281\) | −10.3086 | − | 3.02686i | −0.614957 | − | 0.180568i | −0.0406038 | − | 0.999175i | \(-0.512928\pi\) |
−0.574353 | + | 0.818608i | \(0.694746\pi\) | |||||||
\(282\) | −0.0978529 | + | 0.214268i | −0.00582705 | + | 0.0127595i | ||||
\(283\) | 7.01822 | − | 8.09946i | 0.417190 | − | 0.481463i | −0.507789 | − | 0.861482i | \(-0.669537\pi\) |
0.924979 | + | 0.380019i | \(0.124082\pi\) | |||||||
\(284\) | −1.39551 | + | 9.70597i | −0.0828082 | + | 0.575943i | ||||
\(285\) | 0.395625 | − | 0.116166i | 0.0234348 | − | 0.00688109i | ||||
\(286\) | 4.36817 | + | 5.04114i | 0.258295 | + | 0.298089i | ||||
\(287\) | 23.3502 | − | 15.0063i | 1.37832 | − | 0.885792i | ||||
\(288\) | −2.52106 | + | 1.62019i | −0.148555 | + | 0.0954704i | ||||
\(289\) | 10.2330 | + | 11.8096i | 0.601944 | + | 0.694680i | ||||
\(290\) | 2.67653 | − | 0.785900i | 0.157171 | − | 0.0461496i | ||||
\(291\) | −0.0398117 | + | 0.276896i | −0.00233380 | + | 0.0162319i | ||||
\(292\) | −1.10347 | + | 1.27348i | −0.0645759 | + | 0.0745246i | ||||
\(293\) | −7.10593 | + | 15.5598i | −0.415133 | + | 0.909014i | 0.580376 | + | 0.814348i | \(0.302905\pi\) |
−0.995509 | + | 0.0946655i | \(0.969822\pi\) | |||||||
\(294\) | 0.982503 | + | 0.288489i | 0.0573007 | + | 0.0168250i | ||||
\(295\) | 0.672858 | + | 1.47335i | 0.0391753 | + | 0.0857820i | ||||
\(296\) | −0.0710128 | − | 0.493905i | −0.00412753 | − | 0.0287076i | ||||
\(297\) | 0.636459 | + | 0.409027i | 0.0369311 | + | 0.0237342i | ||||
\(298\) | 18.6998 | 1.08325 | ||||||||
\(299\) | 6.95286 | − | 12.5784i | 0.402094 | − | 0.727425i | ||||
\(300\) | −0.0566801 | −0.00327243 | ||||||||
\(301\) | 43.7029 | + | 28.0861i | 2.51899 | + | 1.61886i | ||||
\(302\) | −2.61387 | − | 18.1799i | −0.150411 | − | 1.04613i | ||||
\(303\) | 0.0600760 | + | 0.131548i | 0.00345128 | + | 0.00755724i | ||||
\(304\) | 6.97997 | + | 2.04950i | 0.400329 | + | 0.117547i | ||||
\(305\) | 2.32074 | − | 5.08171i | 0.132885 | − | 0.290978i | ||||
\(306\) | 2.30013 | − | 2.65449i | 0.131490 | − | 0.151747i | ||||
\(307\) | −0.846409 | + | 5.88690i | −0.0483071 | + | 0.335983i | 0.951308 | + | 0.308242i | \(0.0997406\pi\) |
−0.999615 | + | 0.0277414i | \(0.991168\pi\) | |||||||
\(308\) | −10.6925 | + | 3.13959i | −0.609260 | + | 0.178895i | ||||
\(309\) | −0.610884 | − | 0.704997i | −0.0347520 | − | 0.0401059i | ||||
\(310\) | −6.65417 | + | 4.27637i | −0.377931 | + | 0.242882i | ||||
\(311\) | −16.8726 | + | 10.8434i | −0.956758 | + | 0.614871i | −0.923099 | − | 0.384563i | \(-0.874352\pi\) |
−0.0336588 | + | 0.999433i | \(0.510716\pi\) | |||||||
\(312\) | −0.111234 | − | 0.128370i | −0.00629737 | − | 0.00726755i | ||||
\(313\) | −19.9736 | + | 5.86479i | −1.12898 | + | 0.331498i | −0.792306 | − | 0.610124i | \(-0.791119\pi\) |
−0.336672 | + | 0.941622i | \(0.609301\pi\) | |||||||
\(314\) | 1.77814 | − | 12.3672i | 0.100346 | − | 0.697923i | ||||
\(315\) | −9.82533 | + | 11.3390i | −0.553595 | + | 0.638882i | ||||
\(316\) | 4.59539 | − | 10.0625i | 0.258511 | − | 0.566060i | ||||
\(317\) | 13.0303 | + | 3.82603i | 0.731853 | + | 0.214892i | 0.626366 | − | 0.779529i | \(-0.284542\pi\) |
0.105487 | + | 0.994421i | \(0.466360\pi\) | |||||||
\(318\) | −0.0642393 | − | 0.140664i | −0.00360236 | − | 0.00788807i | ||||
\(319\) | −0.883639 | − | 6.14584i | −0.0494743 | − | 0.344101i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | −1.10414 | −0.0616272 | ||||||||
\(322\) | 14.2897 | + | 19.2957i | 0.796333 | + | 1.07530i | ||||
\(323\) | −8.52627 | −0.474414 | ||||||||
\(324\) | 7.54697 | + | 4.85014i | 0.419276 | + | 0.269452i | ||||
\(325\) | 0.426488 | + | 2.96629i | 0.0236573 | + | 0.164540i | ||||
\(326\) | 1.40084 | + | 3.06741i | 0.0775853 | + | 0.169888i | ||||
\(327\) | −0.154386 | − | 0.0453319i | −0.00853759 | − | 0.00250686i | ||||
\(328\) | 2.30305 | − | 5.04298i | 0.127165 | − | 0.278452i | ||||
\(329\) | −13.6255 | + | 15.7246i | −0.751197 | + | 0.866928i | ||||
\(330\) | −0.0179546 | + | 0.124877i | −0.000988367 | + | 0.00687424i | ||||
\(331\) | 17.3727 | − | 5.10107i | 0.954888 | − | 0.280380i | 0.233067 | − | 0.972461i | \(-0.425124\pi\) |
0.721820 | + | 0.692080i | \(0.243306\pi\) | |||||||
\(332\) | 0.899707 | + | 1.03832i | 0.0493778 | + | 0.0569851i | ||||
\(333\) | −1.25797 | + | 0.808446i | −0.0689361 | + | 0.0443026i | ||||
\(334\) | 16.7592 | − | 10.7705i | 0.917022 | − | 0.589334i | ||||
\(335\) | 4.10866 | + | 4.74165i | 0.224480 | + | 0.259064i | ||||
\(336\) | 0.272279 | − | 0.0799484i | 0.0148541 | − | 0.00436155i | ||||
\(337\) | 2.74161 | − | 19.0683i | 0.149345 | − | 1.03872i | −0.767951 | − | 0.640509i | \(-0.778723\pi\) |
0.917295 | − | 0.398207i | \(-0.130368\pi\) | |||||||
\(338\) | 2.63204 | − | 3.03754i | 0.143164 | − | 0.165220i | ||||
\(339\) | 0.209309 | − | 0.458323i | 0.0113681 | − | 0.0248927i | ||||
\(340\) | 1.12458 | + | 0.330206i | 0.0609887 | + | 0.0179079i | ||||
\(341\) | 7.31380 | + | 16.0150i | 0.396065 | + | 0.867260i | ||||
\(342\) | −3.10254 | − | 21.5787i | −0.167766 | − | 1.16684i | ||||
\(343\) | 46.6078 | + | 29.9530i | 2.51658 | + | 1.61731i | ||||
\(344\) | 10.3763 | 0.559450 | ||||||||
\(345\) | 0.265911 | − | 0.0564090i | 0.0143162 | − | 0.00303696i | ||||
\(346\) | −17.0776 | −0.918099 | ||||||||
\(347\) | −3.30455 | − | 2.12371i | −0.177398 | − | 0.114007i | 0.448929 | − | 0.893568i | \(-0.351806\pi\) |
−0.626326 | + | 0.779561i | \(0.715442\pi\) | |||||||
\(348\) | 0.0225015 | + | 0.156501i | 0.00120621 | + | 0.00838935i | ||||
\(349\) | 5.66433 | + | 12.4032i | 0.303205 | + | 0.663926i | 0.998497 | − | 0.0548011i | \(-0.0174525\pi\) |
−0.695293 | + | 0.718727i | \(0.744725\pi\) | |||||||
\(350\) | −4.80379 | − | 1.41052i | −0.256773 | − | 0.0753955i | ||||
\(351\) | −0.423144 | + | 0.926556i | −0.0225857 | + | 0.0494559i | ||||
\(352\) | −1.45762 | + | 1.68218i | −0.0776912 | + | 0.0896604i | ||||
\(353\) | −0.137876 | + | 0.958951i | −0.00733842 | + | 0.0510398i | −0.993162 | − | 0.116748i | \(-0.962753\pi\) |
0.985823 | + | 0.167787i | \(0.0536622\pi\) | |||||||
\(354\) | −0.0880874 | + | 0.0258648i | −0.00468179 | + | 0.00137470i | ||||
\(355\) | 6.42142 | + | 7.41071i | 0.340814 | + | 0.393320i | ||||
\(356\) | −13.6485 | + | 8.77136i | −0.723369 | + | 0.464881i | ||||
\(357\) | −0.279800 | + | 0.179816i | −0.0148086 | + | 0.00951689i | ||||
\(358\) | 8.54211 | + | 9.85812i | 0.451465 | + | 0.521018i | ||||
\(359\) | −13.6264 | + | 4.00108i | −0.719175 | + | 0.211169i | −0.620787 | − | 0.783979i | \(-0.713187\pi\) |
−0.0983880 | + | 0.995148i | \(0.531369\pi\) | |||||||
\(360\) | −0.426487 | + | 2.96628i | −0.0224779 | + | 0.156337i | ||||
\(361\) | −22.2131 | + | 25.6353i | −1.16911 | + | 1.34923i | ||||
\(362\) | −2.53738 | + | 5.55609i | −0.133362 | + | 0.292022i | ||||
\(363\) | −0.328787 | − | 0.0965405i | −0.0172568 | − | 0.00506706i | ||||
\(364\) | −6.23277 | − | 13.6479i | −0.326686 | − | 0.715342i | ||||
\(365\) | 0.239808 | + | 1.66790i | 0.0125521 | + | 0.0873019i | ||||
\(366\) | 0.266380 | + | 0.171192i | 0.0139239 | + | 0.00894835i | ||||
\(367\) | 12.9049 | 0.673633 | 0.336816 | − | 0.941570i | \(-0.390650\pi\) | ||||
0.336816 | + | 0.941570i | \(0.390650\pi\) | |||||||
\(368\) | 4.48474 | + | 1.69915i | 0.233783 | + | 0.0885744i | ||||
\(369\) | −16.6141 | −0.864897 | ||||||||
\(370\) | −0.419772 | − | 0.269771i | −0.0218229 | − | 0.0140247i | ||||
\(371\) | −1.94393 | − | 13.5203i | −0.100924 | − | 0.701940i | ||||
\(372\) | −0.186243 | − | 0.407815i | −0.00965624 | − | 0.0211442i | ||||
\(373\) | 29.2733 | + | 8.59543i | 1.51572 | + | 0.445054i | 0.930644 | − | 0.365927i | \(-0.119248\pi\) |
0.585072 | + | 0.810981i | \(0.301066\pi\) | |||||||
\(374\) | 1.08374 | − | 2.37305i | 0.0560387 | − | 0.122708i | ||||
\(375\) | −0.0371176 | + | 0.0428360i | −0.00191674 | + | 0.00221204i | ||||
\(376\) | −0.591440 | + | 4.11356i | −0.0305012 | + | 0.212140i | ||||
\(377\) | 8.02100 | − | 2.35518i | 0.413103 | − | 0.121298i | ||||
\(378\) | −1.11440 | − | 1.28608i | −0.0573185 | − | 0.0661491i | ||||
\(379\) | −5.78534 | + | 3.71801i | −0.297173 | + | 0.190981i | −0.680727 | − | 0.732537i | \(-0.738336\pi\) |
0.383555 | + | 0.923518i | \(0.374700\pi\) | |||||||
\(380\) | 6.11982 | − | 3.93297i | 0.313940 | − | 0.201757i | ||||
\(381\) | 0.127471 | + | 0.147110i | 0.00653055 | + | 0.00753666i | ||||
\(382\) | 2.46114 | − | 0.722657i | 0.125923 | − | 0.0369743i | ||||
\(383\) | 1.99802 | − | 13.8966i | 0.102094 | − | 0.710081i | −0.872908 | − | 0.487885i | \(-0.837768\pi\) |
0.975002 | − | 0.222196i | \(-0.0713224\pi\) | |||||||
\(384\) | 0.0371176 | − | 0.0428360i | 0.00189415 | − | 0.00218596i | ||||
\(385\) | −4.62934 | + | 10.1368i | −0.235933 | + | 0.516621i | ||||
\(386\) | −10.6989 | − | 3.14148i | −0.544560 | − | 0.159897i | ||||
\(387\) | −12.9175 | − | 28.2854i | −0.656634 | − | 1.43783i | ||||
\(388\) | 0.702392 | + | 4.88524i | 0.0356585 | + | 0.248011i | ||||
\(389\) | 6.19737 | + | 3.98281i | 0.314219 | + | 0.201936i | 0.688238 | − | 0.725485i | \(-0.258384\pi\) |
−0.374019 | + | 0.927421i | \(0.622021\pi\) | |||||||
\(390\) | −0.169858 | −0.00860112 | ||||||||
\(391\) | −5.60450 | − | 0.429940i | −0.283432 | − | 0.0217430i | ||||
\(392\) | 18.0660 | 0.912469 | ||||||||
\(393\) | −0.912076 | − | 0.586156i | −0.0460082 | − | 0.0295676i | ||||
\(394\) | 1.08430 | + | 7.54145i | 0.0546261 | + | 0.379933i | ||||
\(395\) | −4.59539 | − | 10.0625i | −0.231219 | − | 0.506300i | ||||
\(396\) | 6.40018 | + | 1.87926i | 0.321621 | + | 0.0944364i | ||||
\(397\) | −10.5568 | + | 23.1163i | −0.529833 | + | 1.16017i | 0.435748 | + | 0.900069i | \(0.356484\pi\) |
−0.965581 | + | 0.260103i | \(0.916243\pi\) | |||||||
\(398\) | −10.3978 | + | 11.9997i | −0.521195 | + | 0.601491i | ||||
\(399\) | −0.293788 | + | 2.04334i | −0.0147078 | + | 0.102295i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | 10.0306 | + | 11.5759i | 0.500902 | + | 0.578072i | 0.948746 | − | 0.316040i | \(-0.102353\pi\) |
−0.447844 | + | 0.894112i | \(0.647808\pi\) | |||||||
\(402\) | −0.299164 | + | 0.192261i | −0.0149209 | + | 0.00958911i | ||||
\(403\) | −19.9411 | + | 12.8154i | −0.993339 | + | 0.638380i | ||||
\(404\) | 1.67085 | + | 1.92826i | 0.0831278 | + | 0.0959346i | ||||
\(405\) | 8.60770 | − | 2.52745i | 0.427720 | − | 0.125590i | ||||
\(406\) | −1.98757 | + | 13.8239i | −0.0986415 | + | 0.686067i | ||||
\(407\) | −0.727326 | + | 0.839379i | −0.0360522 | + | 0.0416065i | ||||
\(408\) | −0.0275969 | + | 0.0604288i | −0.00136625 | + | 0.00299167i | ||||
\(409\) | 0.149962 | + | 0.0440329i | 0.00741516 | + | 0.00217729i | 0.285438 | − | 0.958397i | \(-0.407861\pi\) |
−0.278023 | + | 0.960574i | \(0.589679\pi\) | |||||||
\(410\) | −2.30305 | − | 5.04298i | −0.113740 | − | 0.249055i | ||||
\(411\) | −0.137260 | − | 0.954664i | −0.00677053 | − | 0.0470901i | ||||
\(412\) | −13.8454 | − | 8.89790i | −0.682114 | − | 0.438368i | ||||
\(413\) | −8.10930 | −0.399033 | ||||||||
\(414\) | −0.951257 | − | 14.3406i | −0.0467517 | − | 0.704801i | ||||
\(415\) | 1.37389 | 0.0674416 | ||||||||
\(416\) | −2.52106 | − | 1.62019i | −0.123605 | − | 0.0794362i | ||||
\(417\) | 0.0318568 | + | 0.221569i | 0.00156004 | + | 0.0108503i | ||||
\(418\) | −6.72648 | − | 14.7289i | −0.329003 | − | 0.720416i | ||||
\(419\) | 21.1610 | + | 6.21343i | 1.03378 | + | 0.303546i | 0.754248 | − | 0.656590i | \(-0.228002\pi\) |
0.279534 | + | 0.960136i | \(0.409820\pi\) | |||||||
\(420\) | 0.117884 | − | 0.258130i | 0.00575215 | − | 0.0125955i | ||||
\(421\) | 19.7406 | − | 22.7818i | 0.962097 | − | 1.11032i | −0.0317430 | − | 0.999496i | \(-0.510106\pi\) |
0.993840 | − | 0.110823i | \(-0.0353487\pi\) | |||||||
\(422\) | 0.213481 | − | 1.48479i | 0.0103921 | − | 0.0722784i | ||||
\(423\) | 11.9497 | − | 3.50876i | 0.581016 | − | 0.170602i | ||||
\(424\) | −1.78664 | − | 2.06189i | −0.0867669 | − | 0.100134i | ||||
\(425\) | 0.985994 | − | 0.633660i | 0.0478277 | − | 0.0307370i | ||||
\(426\) | −0.467563 | + | 0.300484i | −0.0226535 | + | 0.0145585i | ||||
\(427\) | 18.3162 | + | 21.1380i | 0.886382 | + | 1.02294i | ||||
\(428\) | −18.6911 | + | 5.48821i | −0.903471 | + | 0.265283i | ||||
\(429\) | −0.0538061 | + | 0.374230i | −0.00259778 | + | 0.0180680i | ||||
\(430\) | 6.79500 | − | 7.84185i | 0.327684 | − | 0.378168i | ||||
\(431\) | −0.995338 | + | 2.17949i | −0.0479437 | + | 0.104982i | −0.932088 | − | 0.362232i | \(-0.882015\pi\) |
0.884144 | + | 0.467214i | \(0.154742\pi\) | |||||||
\(432\) | −0.326130 | − | 0.0957605i | −0.0156910 | − | 0.00460728i | ||||
\(433\) | −12.6898 | − | 27.7867i | −0.609832 | − | 1.33534i | −0.922689 | − | 0.385545i | \(-0.874013\pi\) |
0.312857 | − | 0.949800i | \(-0.398714\pi\) | |||||||
\(434\) | −5.63585 | − | 39.1982i | −0.270529 | − | 1.88157i | ||||
\(435\) | 0.133011 | + | 0.0854811i | 0.00637739 | + | 0.00409850i | ||||
\(436\) | −2.83881 | −0.135954 | ||||||||
\(437\) | −24.7966 | + | 24.5418i | −1.18618 | + | 1.17399i | ||||
\(438\) | −0.0955089 | −0.00456359 | ||||||||
\(439\) | 4.81931 | + | 3.09718i | 0.230013 | + | 0.147820i | 0.650571 | − | 0.759445i | \(-0.274529\pi\) |
−0.420558 | + | 0.907265i | \(0.638166\pi\) | |||||||
\(440\) | 0.316770 | + | 2.20319i | 0.0151014 | + | 0.105033i | ||||
\(441\) | −22.4905 | − | 49.2474i | −1.07098 | − | 2.34511i | ||||
\(442\) | 3.37012 | + | 0.989557i | 0.160300 | + | 0.0470684i | ||||
\(443\) | 10.9412 | − | 23.9578i | 0.519831 | − | 1.13827i | −0.449672 | − | 0.893194i | \(-0.648459\pi\) |
0.969503 | − | 0.245078i | \(-0.0788135\pi\) | |||||||
\(444\) | 0.0185211 | − | 0.0213744i | 0.000878971 | − | 0.00101439i | ||||
\(445\) | −2.30892 | + | 16.0589i | −0.109453 | + | 0.761264i | ||||
\(446\) | 8.54688 | − | 2.50959i | 0.404706 | − | 0.118833i | ||||
\(447\) | 0.694092 | + | 0.801025i | 0.0328294 | + | 0.0378872i | ||||
\(448\) | 4.21181 | − | 2.70677i | 0.198989 | − | 0.127883i | ||||
\(449\) | 9.13206 | − | 5.86882i | 0.430969 | − | 0.276967i | −0.307120 | − | 0.951671i | \(-0.599365\pi\) |
0.738088 | + | 0.674704i | \(0.235729\pi\) | |||||||
\(450\) | 1.96248 | + | 2.26482i | 0.0925121 | + | 0.106765i | ||||
\(451\) | −11.8402 | + | 3.47659i | −0.557531 | + | 0.163706i | ||||
\(452\) | 1.26510 | − | 8.79897i | 0.0595054 | − | 0.413869i | ||||
\(453\) | 0.681732 | − | 0.786761i | 0.0320306 | − | 0.0369653i | ||||
\(454\) | −1.78414 | + | 3.90672i | −0.0837339 | + | 0.183352i | ||||
\(455\) | −14.3960 | − | 4.22703i | −0.674893 | − | 0.198166i | ||||
\(456\) | 0.171287 | + | 0.375066i | 0.00802125 | + | 0.0175641i | ||||
\(457\) | 0.248874 | + | 1.73096i | 0.0116419 | + | 0.0809709i | 0.994814 | − | 0.101710i | \(-0.0324315\pi\) |
−0.983172 | + | 0.182681i | \(0.941522\pi\) | |||||||
\(458\) | −15.0557 | − | 9.67569i | −0.703506 | − | 0.452116i | ||||
\(459\) | 0.398379 | 0.0185948 | ||||||||
\(460\) | 4.22101 | − | 2.27663i | 0.196806 | − | 0.106149i | ||||
\(461\) | −8.58259 | −0.399731 | −0.199865 | − | 0.979823i | \(-0.564051\pi\) | ||||
−0.199865 | + | 0.979823i | \(0.564051\pi\) | |||||||
\(462\) | −0.531366 | − | 0.341488i | −0.0247214 | − | 0.0158875i | ||||
\(463\) | −0.413231 | − | 2.87409i | −0.0192045 | − | 0.133570i | 0.977964 | − | 0.208776i | \(-0.0669478\pi\) |
−0.997168 | + | 0.0752054i | \(0.976039\pi\) | |||||||
\(464\) | 1.15881 | + | 2.53744i | 0.0537964 | + | 0.117798i | ||||
\(465\) | −0.430169 | − | 0.126309i | −0.0199486 | − | 0.00585744i | ||||
\(466\) | 11.3268 | − | 24.8022i | 0.524703 | − | 1.14894i | ||||
\(467\) | −13.4715 | + | 15.5469i | −0.623385 | + | 0.719424i | −0.976346 | − | 0.216214i | \(-0.930629\pi\) |
0.352962 | + | 0.935638i | \(0.385175\pi\) | |||||||
\(468\) | −1.27809 | + | 8.88933i | −0.0590799 | + | 0.410910i | ||||
\(469\) | −30.1395 | + | 8.84975i | −1.39171 | + | 0.408643i | ||||
\(470\) | 2.72151 | + | 3.14079i | 0.125534 | + | 0.144874i | ||||
\(471\) | 0.595763 | − | 0.382873i | 0.0274513 | − | 0.0176419i | ||||
\(472\) | −1.36260 | + | 0.875689i | −0.0627187 | + | 0.0403069i | ||||
\(473\) | −15.1246 | − | 17.4547i | −0.695430 | − | 0.802569i | ||||
\(474\) | 0.601607 | − | 0.176648i | 0.0276327 | − | 0.00811370i | ||||
\(475\) | 1.03529 | − | 7.20060i | 0.0475023 | − | 0.330386i | ||||
\(476\) | −3.84272 | + | 4.43473i | −0.176131 | + | 0.203266i | ||||
\(477\) | −3.39646 | + | 7.43720i | −0.155513 | + | 0.340526i | ||||
\(478\) | 13.2810 | + | 3.89964i | 0.607457 | + | 0.178365i | ||||
\(479\) | 1.54737 | + | 3.38826i | 0.0707010 | + | 0.154814i | 0.941683 | − | 0.336501i | \(-0.109244\pi\) |
−0.870982 | + | 0.491315i | \(0.836516\pi\) | |||||||
\(480\) | −0.00806642 | − | 0.0561032i | −0.000368180 | − | 0.00256075i | ||||
\(481\) | −1.25797 | − | 0.808447i | −0.0573584 | − | 0.0368620i | ||||
\(482\) | 15.1156 | 0.688496 | ||||||||
\(483\) | −0.296150 | + | 1.32832i | −0.0134753 | + | 0.0604407i | ||||
\(484\) | −6.04563 | −0.274801 | ||||||||
\(485\) | 4.15199 | + | 2.66832i | 0.188532 | + | 0.121162i | ||||
\(486\) | 0.217482 | + | 1.51262i | 0.00986521 | + | 0.0686140i | ||||
\(487\) | 10.3130 | + | 22.5823i | 0.467326 | + | 1.02330i | 0.985756 | + | 0.168181i | \(0.0537893\pi\) |
−0.518430 | + | 0.855120i | \(0.673483\pi\) | |||||||
\(488\) | 5.36026 | + | 1.57391i | 0.242647 | + | 0.0712477i | ||||
\(489\) | −0.0793997 | + | 0.173861i | −0.00359058 | + | 0.00786227i | ||||
\(490\) | 11.8307 | − | 13.6533i | 0.534456 | − | 0.616795i | ||||
\(491\) | 4.96727 | − | 34.5482i | 0.224170 | − | 1.55914i | −0.497849 | − | 0.867264i | \(-0.665877\pi\) |
0.722019 | − | 0.691873i | \(-0.243214\pi\) | |||||||
\(492\) | 0.301505 | − | 0.0885298i | 0.0135929 | − | 0.00399123i | ||||
\(493\) | −2.14105 | − | 2.47090i | −0.0964280 | − | 0.111284i | ||||
\(494\) | 18.3398 | − | 11.7863i | 0.825147 | − | 0.530290i | ||||
\(495\) | 5.61148 | − | 3.60628i | 0.252217 | − | 0.162090i | ||||
\(496\) | −5.17983 | − | 5.97785i | −0.232581 | − | 0.268413i | ||||
\(497\) | −47.1049 | + | 13.8312i | −2.11294 | + | 0.620416i | ||||
\(498\) | −0.0110824 | + | 0.0770797i | −0.000496613 | + | 0.00345402i | ||||
\(499\) | 8.71860 | − | 10.0618i | 0.390298 | − | 0.450428i | −0.526263 | − | 0.850322i | \(-0.676407\pi\) |
0.916562 | + | 0.399893i | \(0.130953\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | 1.08342 | + | 0.318122i | 0.0484038 | + | 0.0142126i | ||||
\(502\) | 8.16148 | + | 17.8712i | 0.364265 | + | 0.797629i | ||||
\(503\) | 1.02934 | + | 7.15918i | 0.0458958 | + | 0.319212i | 0.999817 | + | 0.0191536i | \(0.00609715\pi\) |
−0.953921 | + | 0.300059i | \(0.902994\pi\) | |||||||
\(504\) | −12.6219 | − | 8.11161i | −0.562225 | − | 0.361320i | ||||
\(505\) | 2.55146 | 0.113538 | ||||||||
\(506\) | −3.67875 | − | 10.0208i | −0.163540 | − | 0.445481i | ||||
\(507\) | 0.227811 | 0.0101174 | ||||||||
\(508\) | 2.88908 | + | 1.85670i | 0.128182 | + | 0.0823777i | ||||
\(509\) | 0.237944 | + | 1.65493i | 0.0105467 | + | 0.0733537i | 0.994415 | − | 0.105540i | \(-0.0336572\pi\) |
−0.983868 | + | 0.178894i | \(0.942748\pi\) | |||||||
\(510\) | 0.0275969 | + | 0.0604288i | 0.00122201 | + | 0.00267583i | ||||
\(511\) | −8.09463 | − | 2.37680i | −0.358085 | − | 0.105143i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | 1.61924 | − | 1.86870i | 0.0714910 | − | 0.0825050i | ||||
\(514\) | −0.193038 | + | 1.34261i | −0.00851455 | + | 0.0592200i | ||||
\(515\) | −15.7914 | + | 4.63677i | −0.695852 | + | 0.204321i | ||||
\(516\) | 0.385142 | + | 0.444477i | 0.0169549 | + | 0.0195670i | ||||
\(517\) | 7.78183 | − | 5.00108i | 0.342245 | − | 0.219947i | ||||
\(518\) | 2.10163 | − | 1.35063i | 0.0923401 | − | 0.0593434i | ||||
\(519\) | −0.633880 | − | 0.731537i | −0.0278242 | − | 0.0321109i | ||||
\(520\) | −2.87540 | + | 0.844294i | −0.126095 | + | 0.0370247i | ||||
\(521\) | 1.63408 | − | 11.3653i | 0.0715905 | − | 0.497923i | −0.922205 | − | 0.386701i | \(-0.873615\pi\) |
0.993796 | − | 0.111222i | \(-0.0354764\pi\) | |||||||
\(522\) | 5.47438 | − | 6.31777i | 0.239607 | − | 0.276521i | ||||
\(523\) | 2.18937 | − | 4.79406i | 0.0957346 | − | 0.209630i | −0.855706 | − | 0.517463i | \(-0.826877\pi\) |
0.951440 | + | 0.307833i | \(0.0996039\pi\) | |||||||
\(524\) | −18.3533 | − | 5.38903i | −0.801770 | − | 0.235421i | ||||
\(525\) | −0.117884 | − | 0.258130i | −0.00514488 | − | 0.0112657i | ||||
\(526\) | −1.33079 | − | 9.25583i | −0.0580251 | − | 0.403573i | ||||
\(527\) | 7.79904 | + | 5.01214i | 0.339731 | + | 0.218332i | ||||
\(528\) | −0.126161 | −0.00549045 | ||||||||
\(529\) | −17.5369 | + | 14.8815i | −0.762472 | + | 0.647021i | ||||
\(530\) | −2.72827 | −0.118509 | ||||||||
\(531\) | 4.08342 | + | 2.62425i | 0.177205 | + | 0.113883i | ||||
\(532\) | 5.18327 | + | 36.0505i | 0.224723 | + | 1.56299i | ||||
\(533\) | −6.90177 | − | 15.1128i | −0.298949 | − | 0.654606i | ||||
\(534\) | −0.882329 | − | 0.259075i | −0.0381821 | − | 0.0112113i | ||||
\(535\) | −8.09238 | + | 17.7198i | −0.349864 | + | 0.766095i | ||||
\(536\) | −4.10866 | + | 4.74165i | −0.177467 | + | 0.204808i | ||||
\(537\) | −0.105220 | + | 0.731820i | −0.00454057 | + | 0.0315803i | ||||
\(538\) | −19.1642 | + | 5.62713i | −0.826229 | + | 0.242603i | ||||
\(539\) | −26.3332 | − | 30.3902i | −1.13425 | − | 1.30900i | ||||
\(540\) | −0.285941 | + | 0.183763i | −0.0123049 | + | 0.00790790i | ||||
\(541\) | 8.01851 | − | 5.15318i | 0.344743 | − | 0.221553i | −0.356799 | − | 0.934181i | \(-0.616132\pi\) |
0.701541 | + | 0.712629i | \(0.252496\pi\) | |||||||
\(542\) | −14.6289 | − | 16.8827i | −0.628366 | − | 0.725173i | ||||
\(543\) | −0.332182 | + | 0.0975375i | −0.0142553 | + | 0.00418574i | ||||
\(544\) | −0.166801 | + | 1.16012i | −0.00715152 | + | 0.0497399i | ||||
\(545\) | −1.85903 | + | 2.14543i | −0.0796319 | + | 0.0919001i | ||||
\(546\) | 0.353274 | − | 0.773562i | 0.0151187 | − | 0.0331054i | ||||
\(547\) | 30.2425 | + | 8.87999i | 1.29307 | + | 0.379681i | 0.854705 | − | 0.519114i | \(-0.173738\pi\) |
0.438370 | + | 0.898795i | \(0.355556\pi\) | |||||||
\(548\) | −7.06879 | − | 15.4785i | −0.301964 | − | 0.661208i | ||||
\(549\) | −2.38259 | − | 16.5713i | −0.101687 | − | 0.707246i | ||||
\(550\) | 1.87250 | + | 1.20338i | 0.0798435 | + | 0.0513123i | ||||
\(551\) | −20.2928 | −0.864502 | ||||||||
\(552\) | 0.0936779 | + | 0.255177i | 0.00398720 | + | 0.0108610i | ||||
\(553\) | 55.3838 | 2.35516 | ||||||||
\(554\) | −15.3174 | − | 9.84388i | −0.650773 | − | 0.418226i | ||||
\(555\) | −0.00402501 | − | 0.0279946i | −0.000170852 | − | 0.00118830i | ||||
\(556\) | 1.64060 | + | 3.59242i | 0.0695771 | + | 0.152353i | ||||
\(557\) | 6.84972 | + | 2.01126i | 0.290232 | + | 0.0852198i | 0.423608 | − | 0.905846i | \(-0.360764\pi\) |
−0.133376 | + | 0.991066i | \(0.542582\pi\) | |||||||
\(558\) | −9.84702 | + | 21.5620i | −0.416858 | + | 0.912791i | ||||
\(559\) | 20.3632 | − | 23.5004i | 0.861272 | − | 0.993961i | ||||
\(560\) | 0.712512 | − | 4.95563i | 0.0301091 | − | 0.209414i | ||||
\(561\) | 0.141878 | − | 0.0416591i | 0.00599008 | − | 0.00175885i | ||||
\(562\) | −7.03566 | − | 8.11959i | −0.296781 | − | 0.342504i | ||||
\(563\) | 37.7677 | − | 24.2718i | 1.59172 | − | 1.02294i | 0.620666 | − | 0.784075i | \(-0.286862\pi\) |
0.971054 | − | 0.238861i | \(-0.0767740\pi\) | |||||||
\(564\) | −0.198161 | + | 0.127350i | −0.00834409 | + | 0.00536242i | ||||
\(565\) | −5.82135 | − | 6.71820i | −0.244906 | − | 0.282637i | ||||
\(566\) | 10.2830 | − | 3.01936i | 0.432227 | − | 0.126913i | ||||
\(567\) | −6.39202 | + | 44.4575i | −0.268440 | + | 1.86704i | ||||
\(568\) | −6.42142 | + | 7.41071i | −0.269437 | + | 0.310947i | ||||
\(569\) | −8.07010 | + | 17.6711i | −0.338316 | + | 0.740809i | −0.999959 | − | 0.00900968i | \(-0.997132\pi\) |
0.661643 | + | 0.749819i | \(0.269859\pi\) | |||||||
\(570\) | 0.395625 | + | 0.116166i | 0.0165709 | + | 0.00486566i | ||||
\(571\) | 13.2133 | + | 28.9331i | 0.552959 | + | 1.21081i | 0.955386 | + | 0.295360i | \(0.0954396\pi\) |
−0.402427 | + | 0.915452i | \(0.631833\pi\) | |||||||
\(572\) | 0.949294 | + | 6.60249i | 0.0396920 | + | 0.276064i | ||||
\(573\) | 0.122307 | + | 0.0786022i | 0.00510946 | + | 0.00328365i | ||||
\(574\) | 27.7564 | 1.15853 | ||||||||
\(575\) | 1.04361 | − | 4.68091i | 0.0435216 | − | 0.195207i | ||||
\(576\) | −2.99679 | −0.124866 | ||||||||
\(577\) | −15.5563 | − | 9.99740i | −0.647616 | − | 0.416197i | 0.175179 | − | 0.984537i | \(-0.443950\pi\) |
−0.822794 | + | 0.568339i | \(0.807586\pi\) | |||||||
\(578\) | 2.22385 | + | 15.4672i | 0.0925001 | + | 0.643352i | ||||
\(579\) | −0.262549 | − | 0.574903i | −0.0109112 | − | 0.0238921i | ||||
\(580\) | 2.67653 | + | 0.785900i | 0.111137 | + | 0.0326327i | ||||
\(581\) | −2.85744 | + | 6.25691i | −0.118546 | + | 0.259581i | ||||
\(582\) | −0.183193 | + | 0.211416i | −0.00759360 | + | 0.00876348i | ||||
\(583\) | −0.864236 | + | 6.01089i | −0.0357930 | + | 0.248946i | ||||
\(584\) | −1.61679 | + | 0.474734i | −0.0669035 | + | 0.0196446i | ||||
\(585\) | 5.88114 | + | 6.78719i | 0.243155 | + | 0.280616i | ||||
\(586\) | −14.3902 | + | 9.24799i | −0.594452 | + | 0.382031i | ||||
\(587\) | 29.2334 | − | 18.7871i | 1.20659 | − | 0.775428i | 0.226505 | − | 0.974010i | \(-0.427270\pi\) |
0.980084 | + | 0.198582i | \(0.0636335\pi\) | |||||||
\(588\) | 0.670565 | + | 0.773873i | 0.0276536 | + | 0.0319140i | ||||
\(589\) | 55.2103 | − | 16.2112i | 2.27490 | − | 0.667971i | ||||
\(590\) | −0.230511 | + | 1.60324i | −0.00948998 | + | 0.0660043i | ||||
\(591\) | −0.282799 | + | 0.326367i | −0.0116328 | + | 0.0134250i | ||||
\(592\) | 0.207285 | − | 0.453891i | 0.00851937 | − | 0.0186548i | ||||
\(593\) | −35.4369 | − | 10.4052i | −1.45522 | − | 0.427290i | −0.543954 | − | 0.839115i | \(-0.683074\pi\) |
−0.911263 | + | 0.411824i | \(0.864892\pi\) | |||||||
\(594\) | 0.314287 | + | 0.688192i | 0.0128953 | + | 0.0282368i | ||||
\(595\) | 0.835103 | + | 5.80827i | 0.0342359 | + | 0.238116i | ||||
\(596\) | 15.7313 | + | 10.1099i | 0.644379 | + | 0.414117i | ||||
\(597\) | −0.899960 | −0.0368329 | ||||||||
\(598\) | 12.6495 | − | 6.82259i | 0.517276 | − | 0.278997i | ||||
\(599\) | −12.4422 | −0.508376 | −0.254188 | − | 0.967155i | \(-0.581808\pi\) | ||||
−0.254188 | + | 0.967155i | \(0.581808\pi\) | |||||||
\(600\) | −0.0476823 | − | 0.0306436i | −0.00194662 | − | 0.00125102i | ||||
\(601\) | −5.09668 | − | 35.4482i | −0.207898 | − | 1.44596i | −0.780000 | − | 0.625780i | \(-0.784781\pi\) |
0.572102 | − | 0.820182i | \(-0.306128\pi\) | |||||||
\(602\) | 21.5807 | + | 47.2551i | 0.879563 | + | 1.92597i | ||||
\(603\) | 18.0405 | + | 5.29718i | 0.734667 | + | 0.215718i | ||||
\(604\) | 7.62986 | − | 16.7071i | 0.310454 | − | 0.679801i | ||||
\(605\) | −3.95905 | + | 4.56898i | −0.160958 | + | 0.185756i | ||||
\(606\) | −0.0205811 | + | 0.143145i | −0.000836051 | + | 0.00581486i | ||||
\(607\) | 22.7336 | − | 6.67518i | 0.922728 | − | 0.270937i | 0.214339 | − | 0.976759i | \(-0.431240\pi\) |
0.708389 | + | 0.705822i | \(0.249422\pi\) | |||||||
\(608\) | 4.76388 | + | 5.49781i | 0.193201 | + | 0.222966i | ||||
\(609\) | −0.665932 | + | 0.427969i | −0.0269849 | + | 0.0173422i | ||||
\(610\) | 4.69971 | − | 3.02032i | 0.190286 | − | 0.122289i | ||||
\(611\) | 8.15579 | + | 9.41228i | 0.329948 | + | 0.380780i | ||||
\(612\) | 3.37012 | − | 0.989556i | 0.136229 | − | 0.0400004i | ||||
\(613\) | −1.53719 | + | 10.6914i | −0.0620864 | + | 0.431821i | 0.934943 | + | 0.354798i | \(0.115450\pi\) |
−0.997029 | + | 0.0770225i | \(0.975459\pi\) | |||||||
\(614\) | −3.89474 | + | 4.49477i | −0.157179 | + | 0.181394i | ||||
\(615\) | 0.130537 | − | 0.285837i | 0.00526377 | − | 0.0115261i | ||||
\(616\) | −10.6925 | − | 3.13959i | −0.430812 | − | 0.126498i | ||||
\(617\) | 13.0078 | + | 28.4831i | 0.523674 | + | 1.14669i | 0.968030 | + | 0.250836i | \(0.0807054\pi\) |
−0.444356 | + | 0.895850i | \(0.646567\pi\) | |||||||
\(618\) | −0.132758 | − | 0.923350i | −0.00534030 | − | 0.0371426i | ||||
\(619\) | −17.6406 | − | 11.3369i | −0.709034 | − | 0.455668i | 0.135773 | − | 0.990740i | \(-0.456648\pi\) |
−0.844807 | + | 0.535072i | \(0.820285\pi\) | |||||||
\(620\) | −7.90982 | −0.317666 | ||||||||
\(621\) | 1.15859 | − | 1.14669i | 0.0464926 | − | 0.0460149i | ||||
\(622\) | −20.0565 | −0.804193 | ||||||||
\(623\) | −68.3325 | − | 43.9146i | −2.73768 | − | 1.75940i | ||||
\(624\) | −0.0241734 | − | 0.168130i | −0.000967710 | − | 0.00673057i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | −19.9736 | − | 5.86479i | −0.798307 | − | 0.234404i | ||||
\(627\) | 0.381258 | − | 0.834838i | 0.0152260 | − | 0.0333402i | ||||
\(628\) | 8.18209 | − | 9.44264i | 0.326501 | − | 0.376802i | ||||
\(629\) | −0.0832307 | + | 0.578883i | −0.00331863 | + | 0.0230816i | ||||
\(630\) | −14.3959 | + | 4.22703i | −0.573548 | + | 0.168409i | ||||
\(631\) | 27.8855 | + | 32.1816i | 1.11010 | + | 1.28113i | 0.956094 | + | 0.293059i | \(0.0946731\pi\) |
0.154009 | + | 0.988069i | \(0.450781\pi\) | |||||||
\(632\) | 9.30609 | − | 5.98066i | 0.370177 | − | 0.237898i | ||||
\(633\) | 0.0715263 | − | 0.0459672i | 0.00284292 | − | 0.00182703i | ||||
\(634\) | 8.89326 | + | 10.2634i | 0.353196 | + | 0.407610i | ||||
\(635\) | 3.29515 | − | 0.967542i | 0.130764 | − | 0.0383957i | ||||
\(636\) | 0.0220074 | − | 0.153065i | 0.000872651 | − | 0.00606942i | ||||
\(637\) | 35.4541 | − | 40.9162i | 1.40474 | − | 1.62116i | ||||
\(638\) | 2.57933 | − | 5.64794i | 0.102117 | − | 0.223604i | ||||
\(639\) | 28.1955 | + | 8.27895i | 1.11540 | + | 0.327510i | ||||
\(640\) | −0.415415 | − | 0.909632i | −0.0164207 | − | 0.0359564i | ||||
\(641\) | −0.342340 | − | 2.38103i | −0.0135216 | − | 0.0940449i | 0.981943 | − | 0.189177i | \(-0.0605819\pi\) |
−0.995465 | + | 0.0951317i | \(0.969673\pi\) | |||||||
\(642\) | −0.928863 | − | 0.596944i | −0.0366593 | − | 0.0235595i | ||||
\(643\) | −38.7743 | −1.52911 | −0.764555 | − | 0.644558i | \(-0.777041\pi\) | ||||
−0.764555 | + | 0.644558i | \(0.777041\pi\) | |||||||
\(644\) | 1.58922 | + | 23.9581i | 0.0626241 | + | 0.944082i | ||||
\(645\) | 0.588128 | 0.0231575 | ||||||||
\(646\) | −7.17275 | − | 4.60965i | −0.282208 | − | 0.181364i | ||||
\(647\) | 0.00660976 | + | 0.0459719i | 0.000259857 | + | 0.00180734i | 0.989951 | − | 0.141411i | \(-0.0451639\pi\) |
−0.989691 | + | 0.143218i | \(0.954255\pi\) | |||||||
\(648\) | 3.72673 | + | 8.16040i | 0.146400 | + | 0.320571i | ||||
\(649\) | 3.45921 | + | 1.01572i | 0.135786 | + | 0.0398704i | ||||
\(650\) | −1.24491 | + | 2.72598i | −0.0488295 | + | 0.106922i | ||||
\(651\) | 1.46990 | − | 1.69636i | 0.0576100 | − | 0.0664855i | ||||
\(652\) | −0.479906 | + | 3.33782i | −0.0187946 | + | 0.130719i | ||||
\(653\) | −5.71335 | + | 1.67759i | −0.223581 | + | 0.0656492i | −0.391604 | − | 0.920134i | \(-0.628080\pi\) |
0.168023 | + | 0.985783i | \(0.446262\pi\) | |||||||
\(654\) | −0.105370 | − | 0.121603i | −0.00412029 | − | 0.00475506i | ||||
\(655\) | −16.0916 | + | 10.3415i | −0.628753 | + | 0.404075i | ||||
\(656\) | 4.66389 | − | 2.99730i | 0.182094 | − | 0.117025i | ||||
\(657\) | 3.30688 | + | 3.81634i | 0.129014 | + | 0.148890i | ||||
\(658\) | −19.9639 | + | 5.86192i | −0.778273 | + | 0.228521i | ||||
\(659\) | −4.23230 | + | 29.4363i | −0.164867 | + | 1.14668i | 0.724431 | + | 0.689348i | \(0.242103\pi\) |
−0.889298 | + | 0.457329i | \(0.848806\pi\) | |||||||
\(660\) | −0.0826179 | + | 0.0953461i | −0.00321590 | + | 0.00371134i | ||||
\(661\) | −20.0026 | + | 43.7997i | −0.778012 | + | 1.70361i | −0.0698527 | + | 0.997557i | \(0.522253\pi\) |
−0.708160 | + | 0.706052i | \(0.750474\pi\) | |||||||
\(662\) | 17.3727 | + | 5.10107i | 0.675208 | + | 0.198259i | ||||
\(663\) | 0.0827021 | + | 0.181092i | 0.00321189 | + | 0.00703305i | ||||
\(664\) | 0.195525 | + | 1.35991i | 0.00758784 | + | 0.0527746i | ||||
\(665\) | 30.6394 | + | 19.6908i | 1.18815 | + | 0.763575i | ||||
\(666\) | −1.49535 | −0.0579435 | ||||||||
\(667\) | −13.3389 | − | 1.02327i | −0.516484 | − | 0.0396213i | ||||
\(668\) | 19.9217 | 0.770793 | ||||||||
\(669\) | 0.424740 | + | 0.272964i | 0.0164214 | + | 0.0105534i | ||||
\(670\) | 0.892898 | + | 6.21024i | 0.0344957 | + | 0.239923i | ||||
\(671\) | −5.16559 | − | 11.3111i | −0.199416 | − | 0.436659i | ||||
\(672\) | 0.272279 | + | 0.0799484i | 0.0105034 | + | 0.00308408i | ||||
\(673\) | −10.1331 | + | 22.1883i | −0.390600 | + | 0.855296i | 0.607537 | + | 0.794291i | \(0.292158\pi\) |
−0.998138 | + | 0.0610043i | \(0.980570\pi\) | |||||||
\(674\) | 12.6155 | − | 14.5590i | 0.485930 | − | 0.560794i | ||||
\(675\) | −0.0483726 | + | 0.336439i | −0.00186186 | + | 0.0129495i | ||||
\(676\) | 3.85644 | − | 1.13235i | 0.148324 | − | 0.0435520i | ||||
\(677\) | 9.92255 | + | 11.4512i | 0.381354 | + | 0.440106i | 0.913681 | − | 0.406433i | \(-0.133227\pi\) |
−0.532326 | + | 0.846539i | \(0.678682\pi\) | |||||||
\(678\) | 0.423870 | − | 0.272405i | 0.0162786 | − | 0.0104616i | ||||
\(679\) | −20.7873 | + | 13.3592i | −0.797744 | + | 0.512679i | ||||
\(680\) | 0.767532 | + | 0.885779i | 0.0294335 | + | 0.0339681i | ||||
\(681\) | −0.233571 | + | 0.0685827i | −0.00895047 | + | 0.00262810i | ||||
\(682\) | −2.50560 | + | 17.4268i | −0.0959443 | + | 0.667307i | ||||
\(683\) | 18.2541 | − | 21.0664i | 0.698474 | − | 0.806082i | −0.290071 | − | 0.957005i | \(-0.593679\pi\) |
0.988546 | + | 0.150923i | \(0.0482244\pi\) | |||||||
\(684\) | 9.05628 | − | 19.8305i | 0.346275 | − | 0.758237i | ||||
\(685\) | −16.3269 | − | 4.79402i | −0.623820 | − | 0.183170i | ||||
\(686\) | 23.0151 | + | 50.3961i | 0.878723 | + | 1.92413i | ||||
\(687\) | −0.144362 | − | 1.00406i | −0.00550777 | − | 0.0383074i | ||||
\(688\) | 8.72906 | + | 5.60983i | 0.332792 | + | 0.213873i | ||||
\(689\) | −8.17607 | −0.311483 | ||||||||
\(690\) | 0.254196 | + | 0.0963081i | 0.00967706 | + | 0.00366639i | ||||
\(691\) | −23.9305 | −0.910361 | −0.455180 | − | 0.890399i | \(-0.650425\pi\) | ||||
−0.455180 | + | 0.890399i | \(0.650425\pi\) | |||||||
\(692\) | −14.3666 | − | 9.23286i | −0.546137 | − | 0.350981i | ||||
\(693\) | 4.75272 | + | 33.0559i | 0.180541 | + | 1.25569i | ||||
\(694\) | −1.63180 | − | 3.57315i | −0.0619424 | − | 0.135635i | ||||
\(695\) | 3.78934 | + | 1.11265i | 0.143738 | + | 0.0422052i | ||||
\(696\) | −0.0656815 | + | 0.143822i | −0.00248965 | + | 0.00545158i | ||||
\(697\) | −4.25518 | + | 4.91074i | −0.161176 | + | 0.186008i | ||||
\(698\) | −1.94051 | + | 13.4966i | −0.0734495 | + | 0.510853i | ||||
\(699\) | 1.48285 | − | 0.435404i | 0.0560865 | − | 0.0164685i | ||||
\(700\) | −3.27862 | − | 3.78373i | −0.123920 | − | 0.143012i | ||||
\(701\) | −6.75530 | + | 4.34137i | −0.255144 | + | 0.163971i | −0.661960 | − | 0.749539i | \(-0.730275\pi\) |
0.406816 | + | 0.913510i | \(0.366639\pi\) | |||||||
\(702\) | −0.856905 | + | 0.550700i | −0.0323418 | + | 0.0207848i | ||||
\(703\) | 2.37710 | + | 2.74332i | 0.0896539 | + | 0.103466i | ||||
\(704\) | −2.13568 | + | 0.627092i | −0.0804914 | + | 0.0236344i | ||||
\(705\) | −0.0335229 | + | 0.233157i | −0.00126255 | + | 0.00878120i | ||||
\(706\) | −0.634437 | + | 0.732180i | −0.0238774 | + | 0.0275559i | ||||
\(707\) | −5.30655 | + | 11.6197i | −0.199574 | + | 0.437005i | ||||
\(708\) | −0.0880874 | − | 0.0258648i | −0.00331053 | − | 0.000972058i | ||||
\(709\) | −17.5963 | − | 38.5305i | −0.660842 | − | 1.44704i | −0.881735 | − | 0.471745i | \(-0.843624\pi\) |
0.220893 | − | 0.975298i | \(-0.429103\pi\) | |||||||
\(710\) | 1.39551 | + | 9.70597i | 0.0523725 | + | 0.364259i | ||||
\(711\) | −27.8884 | − | 17.9228i | −1.04590 | − | 0.672157i | ||||
\(712\) | −16.2240 | −0.608020 | ||||||||
\(713\) | 37.1084 | − | 7.87198i | 1.38972 | − | 0.294808i | ||||
\(714\) | −0.332599 | −0.0124472 | ||||||||
\(715\) | 5.61148 | + | 3.60628i | 0.209858 | + | 0.134867i | ||||
\(716\) | 1.85638 | + | 12.9114i | 0.0693761 | + | 0.482522i | ||||
\(717\) | 0.325912 | + | 0.713648i | 0.0121714 | + | 0.0266517i | ||||
\(718\) | −13.6264 | − | 4.00108i | −0.508533 | − | 0.149319i | ||||
\(719\) | −4.68213 | + | 10.2524i | −0.174614 | + | 0.382352i | −0.976623 | − | 0.214961i | \(-0.931038\pi\) |
0.802009 | + | 0.597313i | \(0.203765\pi\) | |||||||
\(720\) | −1.96248 | + | 2.26482i | −0.0731373 | + | 0.0844049i | ||||
\(721\) | 11.7266 | − | 81.5601i | 0.436721 | − | 3.03746i | ||||
\(722\) | −32.5464 | + | 9.55649i | −1.21125 | + | 0.355656i | ||||
\(723\) | 0.561054 | + | 0.647491i | 0.0208658 | + | 0.0240804i | ||||
\(724\) | −5.13843 | + | 3.30227i | −0.190968 | + | 0.122728i | ||||
\(725\) | 2.34670 | − | 1.50813i | 0.0871542 | − | 0.0560106i | ||||
\(726\) | −0.224399 | − | 0.258970i | −0.00832823 | − | 0.00961130i | ||||
\(727\) | 8.53656 | − | 2.50656i | 0.316604 | − | 0.0929632i | −0.119570 | − | 0.992826i | \(-0.538152\pi\) |
0.436173 | + | 0.899863i | \(0.356333\pi\) | |||||||
\(728\) | 2.13525 | − | 14.8510i | 0.0791377 | − | 0.550415i | ||||
\(729\) | 17.5677 | − | 20.2742i | 0.650657 | − | 0.750898i | ||||
\(730\) | −0.699996 | + | 1.53278i | −0.0259080 | + | 0.0567306i | ||||
\(731\) | −11.6689 | − | 3.42630i | −0.431590 | − | 0.126726i | ||||
\(732\) | 0.131540 | + | 0.288032i | 0.00486185 | + | 0.0106460i | ||||
\(733\) | 4.38426 | + | 30.4932i | 0.161936 | + | 1.12629i | 0.894979 | + | 0.446109i | \(0.147191\pi\) |
−0.733042 | + | 0.680183i | \(0.761900\pi\) | |||||||
\(734\) | 10.8563 | + | 6.97694i | 0.400714 | + | 0.257524i | ||||
\(735\) | 1.02398 | 0.0377701 | ||||||||
\(736\) | 2.85417 | + | 3.85405i | 0.105206 | + | 0.142062i | ||||
\(737\) | 13.9652 | 0.514413 | ||||||||
\(738\) | −13.9767 | − | 8.98228i | −0.514489 | − | 0.330642i | ||||
\(739\) | −0.0837407 | − | 0.582429i | −0.00308045 | − | 0.0214250i | 0.988223 | − | 0.153019i | \(-0.0488996\pi\) |
−0.991304 | + | 0.131594i | \(0.957990\pi\) | |||||||
\(740\) | −0.207285 | − | 0.453891i | −0.00761996 | − | 0.0166854i | ||||
\(741\) | 1.18561 | + | 0.348126i | 0.0435543 | + | 0.0127887i | ||||
\(742\) | 5.67430 | − | 12.4250i | 0.208310 | − | 0.456136i | ||||
\(743\) | 4.66933 | − | 5.38869i | 0.171301 | − | 0.197692i | −0.663607 | − | 0.748081i | \(-0.730975\pi\) |
0.834908 | + | 0.550389i | \(0.185521\pi\) | |||||||
\(744\) | 0.0638040 | − | 0.443766i | 0.00233917 | − | 0.0162693i | ||||
\(745\) | 17.9424 | − | 5.26835i | 0.657357 | − | 0.193017i | ||||
\(746\) | 19.9793 | + | 23.0573i | 0.731493 | + | 0.844187i | ||||
\(747\) | 3.46366 | − | 2.22596i | 0.126729 | − | 0.0814435i | ||||
\(748\) | 2.19467 | − | 1.41043i | 0.0802449 | − | 0.0515703i | ||||
\(749\) | −63.8683 | − | 73.7079i | −2.33370 | − | 2.69323i | ||||
\(750\) | −0.0543842 | + | 0.0159686i | −0.00198583 | + | 0.000583092i | ||||
\(751\) | 0.757790 | − | 5.27054i | 0.0276521 | − | 0.192325i | −0.971313 | − | 0.237804i | \(-0.923572\pi\) |
0.998965 | + | 0.0454792i | \(0.0144815\pi\) | |||||||
\(752\) | −2.72151 | + | 3.14079i | −0.0992432 | + | 0.114533i | ||||
\(753\) | −0.462594 | + | 1.01294i | −0.0168579 | + | 0.0369136i | ||||
\(754\) | 8.02100 | + | 2.35518i | 0.292108 | + | 0.0857705i | ||||
\(755\) | −7.62986 | − | 16.7071i | −0.277679 | − | 0.608032i | ||||
\(756\) | −0.242182 | − | 1.68441i | −0.00880807 | − | 0.0612615i | ||||
\(757\) | −31.2522 | − | 20.0845i | −1.13588 | − | 0.729985i | −0.169100 | − | 0.985599i | \(-0.554086\pi\) |
−0.966779 | + | 0.255614i | \(0.917722\pi\) | |||||||
\(758\) | −6.87704 | −0.249785 | ||||||||
\(759\) | 0.292706 | − | 0.529532i | 0.0106246 | − | 0.0192208i | ||||
\(760\) | 7.27464 | 0.263879 | ||||||||
\(761\) | 21.7711 | + | 13.9915i | 0.789203 | + | 0.507190i | 0.872076 | − | 0.489370i | \(-0.162773\pi\) |
−0.0828730 | + | 0.996560i | \(0.526410\pi\) | |||||||
\(762\) | 0.0277022 | + | 0.192673i | 0.00100354 | + | 0.00697980i | ||||
\(763\) | −5.90420 | − | 12.9284i | −0.213746 | − | 0.468039i | ||||
\(764\) | 2.46114 | + | 0.722657i | 0.0890410 | + | 0.0261448i | ||||
\(765\) | 1.45910 | − | 3.19499i | 0.0527539 | − | 0.115515i | ||||
\(766\) | 9.19389 | − | 10.6103i | 0.332189 | − | 0.383366i | ||||
\(767\) | −0.690793 | + | 4.80457i | −0.0249431 | + | 0.173483i | ||||
\(768\) | 0.0543842 | − | 0.0159686i | 0.00196242 | − | 0.000576218i | ||||
\(769\) | 25.6841 | + | 29.6411i | 0.926193 | + | 1.06888i | 0.997446 | + | 0.0714258i | \(0.0227549\pi\) |
−0.0712525 | + | 0.997458i | \(0.522700\pi\) | |||||||
\(770\) | −9.37483 | + | 6.02484i | −0.337845 | + | 0.217120i | ||||
\(771\) | −0.0646771 | + | 0.0415655i | −0.00232929 | + | 0.00149694i | ||||
\(772\) | −7.30208 | − | 8.42705i | −0.262808 | − | 0.303296i | ||||
\(773\) | 29.8695 | − | 8.77048i | 1.07433 | − | 0.315452i | 0.303723 | − | 0.952761i | \(-0.401770\pi\) |
0.770609 | + | 0.637308i | \(0.219952\pi\) | |||||||
\(774\) | 4.42534 | − | 30.7789i | 0.159066 | − | 1.10633i | ||||
\(775\) | −5.17983 | + | 5.97785i | −0.186065 | + | 0.214731i | ||||
\(776\) | −2.05027 | + | 4.48947i | −0.0736005 | + | 0.161163i | ||||
\(777\) | 0.135863 | + | 0.0398930i | 0.00487406 | + | 0.00143115i | ||||
\(778\) | 3.06029 | + | 6.70110i | 0.109717 | + | 0.240246i | ||||
\(779\) | 5.73962 | + | 39.9200i | 0.205643 | + | 1.43028i | ||||
\(780\) | −0.142894 | − | 0.0918324i | −0.00511643 | − | 0.00328813i | ||||
\(781\) | 21.8261 | 0.781000 | ||||||||
\(782\) | −4.48236 | − | 3.39171i | −0.160289 | − | 0.121287i | ||||
\(783\) | 0.948156 | 0.0338843 | ||||||||
\(784\) | 15.1981 | + | 9.76720i | 0.542788 | + | 0.348829i | ||||
\(785\) | −1.77814 | − | 12.3672i | −0.0634645 | − | 0.441405i | ||||
\(786\) | −0.450388 | − | 0.986211i | −0.0160648 | − | 0.0351770i | ||||
\(787\) | 10.0639 | + | 2.95504i | 0.358741 | + | 0.105336i | 0.456136 | − | 0.889910i | \(-0.349233\pi\) |
−0.0973953 | + | 0.995246i | \(0.531051\pi\) | |||||||
\(788\) | −3.16505 | + | 6.93049i | −0.112750 | + | 0.246888i | ||||
\(789\) | 0.347087 | − | 0.400560i | 0.0123566 | − | 0.0142603i | ||||
\(790\) | 1.57431 | − | 10.9496i | 0.0560115 | − | 0.389568i | ||||
\(791\) | 42.7031 | − | 12.5388i | 1.51835 | − | 0.445827i | ||||
\(792\) | 4.36817 | + | 5.04113i | 0.155216 | + | 0.179129i | ||||
\(793\) | 14.0840 | − | 9.05126i | 0.500139 | − | 0.321420i | ||||
\(794\) | −21.3786 | + | 13.7392i | −0.758697 | + | 0.487585i | ||||
\(795\) | −0.101267 | − | 0.116868i | −0.00359157 | − | 0.00414489i | ||||
\(796\) | −15.2347 | + | 4.47332i | −0.539980 | + | 0.158553i | ||||
\(797\) | −3.55693 | + | 24.7390i | −0.125993 | + | 0.876300i | 0.824568 | + | 0.565763i | \(0.191418\pi\) |
−0.950561 | + | 0.310538i | \(0.899491\pi\) | |||||||
\(798\) | −1.35187 | + | 1.56014i | −0.0478555 | + | 0.0552282i | ||||
\(799\) | 2.02344 | − | 4.43071i | 0.0715841 | − | 0.156747i | ||||
\(800\) | −0.959493 | − | 0.281733i | −0.0339232 | − | 0.00996075i | ||||
\(801\) | 20.1974 | + | 44.2262i | 0.713641 | + | 1.56266i | ||||
\(802\) | 2.17985 | + | 15.1612i | 0.0769731 | + | 0.535360i | ||||
\(803\) | 3.15525 | + | 2.02776i | 0.111346 | + | 0.0715580i | ||||
\(804\) | −0.355617 | −0.0125416 | ||||||||
\(805\) | 19.1471 | + | 14.4882i | 0.674845 | + | 0.510641i | ||||
\(806\) | −23.7041 | −0.834941 | ||||||||
\(807\) | −0.952374 | − | 0.612053i | −0.0335251 | − | 0.0215453i | ||||
\(808\) | 0.363110 | + | 2.52549i | 0.0127742 | + | 0.0888463i | ||||
\(809\) | 16.7736 | + | 36.7290i | 0.589727 | + | 1.29132i | 0.935607 | + | 0.353044i | \(0.114853\pi\) |
−0.345880 | + | 0.938279i | \(0.612419\pi\) | |||||||
\(810\) | 8.60770 | + | 2.52745i | 0.302444 | + | 0.0888055i | ||||
\(811\) | −1.90649 | + | 4.17462i | −0.0669458 | + | 0.146591i | −0.940147 | − | 0.340769i | \(-0.889313\pi\) |
0.873201 | + | 0.487360i | \(0.162040\pi\) | |||||||
\(812\) | −9.14580 | + | 10.5548i | −0.320954 | + | 0.370401i | ||||
\(813\) | 0.180196 | − | 1.25329i | 0.00631974 | − | 0.0439548i | ||||
\(814\) | −1.06567 | + | 0.312909i | −0.0373517 | + | 0.0109674i | ||||
\(815\) | 2.20828 | + | 2.54850i | 0.0773528 | + | 0.0892699i | ||||
\(816\) | −0.0558863 | + | 0.0359159i | −0.00195641 | + | 0.00125731i | ||||
\(817\) | −63.5008 | + | 40.8095i | −2.22161 | + | 1.42774i | ||||
\(818\) | 0.102350 | + | 0.118119i | 0.00357860 | + | 0.00412992i | ||||
\(819\) | −43.1416 | + | 12.6675i | −1.50749 | + | 0.442639i | ||||
\(820\) | 0.788991 | − | 5.48755i | 0.0275527 | − | 0.191634i | ||||
\(821\) | 7.62694 | − | 8.80195i | 0.266182 | − | 0.307190i | −0.606886 | − | 0.794789i | \(-0.707582\pi\) |
0.873068 | + | 0.487599i | \(0.162127\pi\) | |||||||
\(822\) | 0.400660 | − | 0.877323i | 0.0139746 | − | 0.0306001i | ||||
\(823\) | −52.3855 | − | 15.3818i | −1.82604 | − | 0.536175i | −0.826406 | − | 0.563074i | \(-0.809618\pi\) |
−0.999638 | + | 0.0268994i | \(0.991437\pi\) | |||||||
\(824\) | −6.83693 | − | 14.9708i | −0.238176 | − | 0.521532i | ||||
\(825\) | 0.0179546 | + | 0.124877i | 0.000625098 | + | 0.00434765i | ||||
\(826\) | −6.82198 | − | 4.38422i | −0.237367 | − | 0.152547i | ||||
\(827\) | 20.8693 | 0.725695 | 0.362848 | − | 0.931849i | \(-0.381805\pi\) | ||||
0.362848 | + | 0.931849i | \(0.381805\pi\) | |||||||
\(828\) | 6.95285 | − | 12.5783i | 0.241628 | − | 0.437128i | ||||
\(829\) | 11.1291 | 0.386529 | 0.193265 | − | 0.981147i | \(-0.438092\pi\) | ||||
0.193265 | + | 0.981147i | \(0.438092\pi\) | |||||||
\(830\) | 1.15579 | + | 0.742781i | 0.0401181 | + | 0.0257823i | ||||
\(831\) | −0.146872 | − | 1.02152i | −0.00509493 | − | 0.0354360i | ||||
\(832\) | −1.24491 | − | 2.72598i | −0.0431596 | − | 0.0945063i | ||||
\(833\) | −20.3166 | − | 5.96548i | −0.703927 | − | 0.206692i | ||||
\(834\) | −0.0929897 | + | 0.203619i | −0.00321997 | + | 0.00705075i | ||||
\(835\) | 13.0459 | − | 15.0558i | 0.451473 | − | 0.521028i | ||||
\(836\) | 2.30439 | − | 16.0274i | 0.0796990 | − | 0.554319i | ||||
\(837\) | −2.57963 | + | 0.757449i | −0.0891652 | + | 0.0261813i | ||||
\(838\) | 14.4425 | + | 16.6676i | 0.498909 | + | 0.575771i | ||||
\(839\) | −7.78426 | + | 5.00264i | −0.268742 | + | 0.172710i | −0.668071 | − | 0.744098i | \(-0.732880\pi\) |
0.399328 | + | 0.916808i | \(0.369243\pi\) | |||||||
\(840\) | 0.238726 | − | 0.153420i | 0.00823683 | − | 0.00529349i | ||||
\(841\) | 13.8952 | + | 16.0359i | 0.479145 | + | 0.552962i | ||||
\(842\) | 28.9236 | − | 8.49274i | 0.996774 | − | 0.292679i | ||||
\(843\) | 0.0866636 | − | 0.602759i | 0.00298485 | − | 0.0207601i | ||||
\(844\) | 0.982329 | − | 1.13367i | 0.0338132 | − | 0.0390225i | ||||
\(845\) | 1.66965 | − | 3.65603i | 0.0574378 | − | 0.125771i | ||||
\(846\) | 11.9497 | + | 3.50876i | 0.410840 | + | 0.120634i | ||||
\(847\) | −12.5738 | − | 27.5327i | −0.432040 | − | 0.946036i | ||||
\(848\) | −0.388274 | − | 2.70050i | −0.0133334 | − | 0.0927357i | ||||
\(849\) | 0.511017 | + | 0.328411i | 0.0175381 | + | 0.0112710i | ||||
\(850\) | 1.17205 | 0.0402011 | ||||||||
\(851\) | 1.42418 | + | 1.92311i | 0.0488204 | + | 0.0659233i | ||||
\(852\) | −0.555793 | −0.0190411 | ||||||||
\(853\) | 15.0189 | + | 9.65208i | 0.514238 | + | 0.330481i | 0.771889 | − | 0.635757i | \(-0.219312\pi\) |
−0.257651 | + | 0.966238i | \(0.582948\pi\) | |||||||
\(854\) | 3.98049 | + | 27.6849i | 0.136209 | + | 0.947358i | ||||
\(855\) | −9.05628 | − | 19.8305i | −0.309718 | − | 0.678188i | ||||
\(856\) | −18.6911 | − | 5.48821i | −0.638850 | − | 0.187583i | ||||
\(857\) | −1.70010 | + | 3.72270i | −0.0580743 | + | 0.127165i | −0.936444 | − | 0.350816i | \(-0.885904\pi\) |
0.878370 | + | 0.477981i | \(0.158631\pi\) | |||||||
\(858\) | −0.247588 | + | 0.285732i | −0.00845253 | + | 0.00975474i | ||||
\(859\) | 6.55930 | − | 45.6209i | 0.223800 | − | 1.55657i | −0.499673 | − | 0.866214i | \(-0.666546\pi\) |
0.723473 | − | 0.690352i | \(-0.242544\pi\) | |||||||
\(860\) | 9.95595 | − | 2.92333i | 0.339495 | − | 0.0996847i | ||||
\(861\) | 1.03025 | + | 1.18897i | 0.0351109 | + | 0.0405201i | ||||
\(862\) | −2.01565 | + | 1.29538i | −0.0686533 | + | 0.0441208i | ||||
\(863\) | 41.0830 | − | 26.4024i | 1.39848 | − | 0.898750i | 0.398650 | − | 0.917103i | \(-0.369479\pi\) |
0.999832 | + | 0.0183533i | \(0.00584236\pi\) | |||||||
\(864\) | −0.222586 | − | 0.256878i | −0.00757254 | − | 0.00873918i | ||||
\(865\) | −16.3859 | + | 4.81132i | −0.557136 | + | 0.163590i | ||||
\(866\) | 4.34732 | − | 30.2363i | 0.147728 | − | 1.02747i | ||||
\(867\) | −0.580010 | + | 0.669367i | −0.0196982 | + | 0.0227329i | ||||
\(868\) | 16.4510 | − | 36.0226i | 0.558382 | − | 1.22269i | ||||
\(869\) | −23.6253 | − | 6.93700i | −0.801432 | − | 0.235322i | ||||
\(870\) | 0.0656815 | + | 0.143822i | 0.00222681 | + | 0.00487604i | ||||
\(871\) | 2.67583 | + | 18.6108i | 0.0906670 | + | 0.630603i | ||||
\(872\) | −2.38816 | − | 1.53478i | −0.0808733 | − | 0.0519741i | ||||
\(873\) | 14.7906 | 0.500585 | ||||||||
\(874\) | −34.1285 | + | 7.23984i | −1.15441 | + | 0.244891i | ||||
\(875\) | −5.00659 | −0.169254 | ||||||||
\(876\) | −0.0803472 | − | 0.0516360i | −0.00271468 | − | 0.00174462i | ||||
\(877\) | −0.506066 | − | 3.51976i | −0.0170886 | − | 0.118854i | 0.979492 | − | 0.201485i | \(-0.0645768\pi\) |
−0.996580 | + | 0.0826311i | \(0.973668\pi\) | |||||||
\(878\) | 2.37980 | + | 5.21103i | 0.0803143 | + | 0.175864i | ||||
\(879\) | −0.930274 | − | 0.273153i | −0.0313774 | − | 0.00921323i | ||||
\(880\) | −0.924648 | + | 2.02470i | −0.0311699 | + | 0.0682525i | ||||
\(881\) | 2.42339 | − | 2.79674i | 0.0816462 | − | 0.0942247i | −0.713457 | − | 0.700699i | \(-0.752871\pi\) |
0.795103 | + | 0.606475i | \(0.207417\pi\) | |||||||
\(882\) | 7.70491 | − | 53.5888i | 0.259438 | − | 1.80443i | ||||
\(883\) | −46.9269 | + | 13.7790i | −1.57921 | + | 0.463699i | −0.949667 | − | 0.313262i | \(-0.898578\pi\) |
−0.629548 | + | 0.776962i | \(0.716760\pi\) | |||||||
\(884\) | 2.30013 | + | 2.65449i | 0.0773618 | + | 0.0892803i | ||||
\(885\) | −0.0772323 | + | 0.0496342i | −0.00259613 | + | 0.00166843i | ||||
\(886\) | 22.1569 | − | 14.2394i | 0.744375 | − | 0.478381i | ||||
\(887\) | −9.33114 | − | 10.7687i | −0.313309 | − | 0.361578i | 0.577153 | − | 0.816636i | \(-0.304164\pi\) |
−0.890462 | + | 0.455059i | \(0.849618\pi\) | |||||||
\(888\) | 0.0271368 | − | 0.00796809i | 0.000910652 | − | 0.000267391i | ||||
\(889\) | −2.44695 | + | 17.0189i | −0.0820681 | + | 0.570796i | ||||
\(890\) | −10.6245 | + | 12.2613i | −0.356133 | + | 0.410999i | ||||
\(891\) | 8.29511 | − | 18.1637i | 0.277896 | − | 0.608508i | ||||
\(892\) | 8.54688 | + | 2.50959i | 0.286171 | + | 0.0840273i | ||||
\(893\) | −12.5590 | − | 27.5003i | −0.420270 | − | 0.920264i | ||||
\(894\) | 0.150841 | + | 1.04912i | 0.00504487 | + | 0.0350878i | ||||
\(895\) | 10.9735 | + | 7.05221i | 0.366802 | + | 0.235729i | ||||
\(896\) | 5.00659 | 0.167259 | ||||||||
\(897\) | 0.761771 | + | 0.288615i | 0.0254348 | + | 0.00963658i | ||||
\(898\) | 10.8553 | 0.362246 | ||||||||
\(899\) | 18.5620 | + | 11.9291i | 0.619076 | + | 0.397856i | ||||
\(900\) | 0.426487 | + | 2.96628i | 0.0142162 | + | 0.0988761i | ||||
\(901\) | 1.32837 | + | 2.90871i | 0.0442543 | + | 0.0969033i | ||||
\(902\) | −11.8402 | − | 3.47659i | −0.394234 | − | 0.115758i | ||||
\(903\) | −1.22320 | + | 2.67842i | −0.0407054 | + | 0.0891324i | ||||
\(904\) | 5.82135 | − | 6.71820i | 0.193615 | − | 0.223444i | ||||
\(905\) | −0.869269 | + | 6.04590i | −0.0288955 | + | 0.200972i | ||||
\(906\) | 0.998865 | − | 0.293293i | 0.0331851 | − | 0.00974401i | ||||
\(907\) | −27.4856 | − | 31.7200i | −0.912643 | − | 1.05325i | −0.998378 | − | 0.0569280i | \(-0.981869\pi\) |
0.0857355 | − | 0.996318i | \(-0.472676\pi\) | |||||||
\(908\) | −3.61305 | + | 2.32197i | −0.119903 | + | 0.0770572i | ||||
\(909\) | 6.43237 | − | 4.13383i | 0.213348 | − | 0.137111i | ||||
\(910\) | −9.82534 | − | 11.3390i | −0.325707 | − | 0.375886i | ||||
\(911\) | 42.4293 | − | 12.4584i | 1.40575 | − | 0.412764i | 0.511093 | − | 0.859526i | \(-0.329241\pi\) |
0.894653 | + | 0.446761i | \(0.147423\pi\) | |||||||
\(912\) | −0.0586803 | + | 0.408131i | −0.00194310 | + | 0.0135146i | ||||
\(913\) | 2.00261 | − | 2.31113i | 0.0662766 | − | 0.0764872i | ||||
\(914\) | −0.726461 | + | 1.59073i | −0.0240292 | + | 0.0526166i | ||||
\(915\) | 0.303820 | + | 0.0892096i | 0.0100440 | + | 0.00294918i | ||||
\(916\) | −7.43456 | − | 16.2794i | −0.245645 | − | 0.537887i | ||||
\(917\) | −13.6291 | − | 94.7922i | −0.450071 | − | 3.13031i | ||||
\(918\) | 0.335138 | + | 0.215380i | 0.0110612 | + | 0.00710860i | ||||
\(919\) | 1.40847 | 0.0464612 | 0.0232306 | − | 0.999730i | \(-0.492605\pi\) | ||||
0.0232306 | + | 0.999730i | \(0.492605\pi\) | |||||||
\(920\) | 4.78178 | + | 0.366827i | 0.157651 | + | 0.0120939i | ||||
\(921\) | −0.337102 | −0.0111079 | ||||||||
\(922\) | −7.22013 | − | 4.64010i | −0.237782 | − | 0.152813i | ||||
\(923\) | 4.18205 | + | 29.0868i | 0.137654 | + | 0.957403i | ||||
\(924\) | −0.262391 | − | 0.574557i | −0.00863204 | − | 0.0189015i | ||||
\(925\) | −0.478771 | − | 0.140580i | −0.0157419 | − | 0.00462224i | ||||
\(926\) | 1.20622 | − | 2.64125i | 0.0396387 | − | 0.0867967i | ||||
\(927\) | −32.2986 | + | 37.2746i | −1.06083 | + | 1.22426i | ||||
\(928\) | −0.396991 | + | 2.76113i | −0.0130319 | + | 0.0906386i | ||||
\(929\) | 26.7756 | − | 7.86202i | 0.878478 | − | 0.257945i | 0.188761 | − | 0.982023i | \(-0.439553\pi\) |
0.689718 | + | 0.724079i | \(0.257735\pi\) | |||||||
\(930\) | −0.293594 | − | 0.338825i | −0.00962731 | − | 0.0111105i | ||||
\(931\) | −110.560 | + | 71.0529i | −3.62347 | + | 2.32866i | ||||
\(932\) | 22.9378 | − | 14.7412i | 0.751352 | − | 0.482865i | ||||
\(933\) | −0.744449 | − | 0.859140i | −0.0243722 | − | 0.0281270i | ||||
\(934\) | −19.7382 | + | 5.79566i | −0.645853 | + | 0.189640i | ||||
\(935\) | 0.371272 | − | 2.58225i | 0.0121419 | − | 0.0844486i | ||||
\(936\) | −5.88114 | + | 6.78719i | −0.192231 | + | 0.221846i | ||||
\(937\) | 24.3737 | − | 53.3710i | 0.796254 | − | 1.74355i | 0.138442 | − | 0.990370i | \(-0.455790\pi\) |
0.657812 | − | 0.753183i | \(-0.271482\pi\) | |||||||
\(938\) | −30.1395 | − | 8.84975i | −0.984089 | − | 0.288955i | ||||
\(939\) | −0.490149 | − | 1.07328i | −0.0159954 | − | 0.0350251i | ||||
\(940\) | 0.591440 | + | 4.11356i | 0.0192907 | + | 0.134169i | ||||
\(941\) | 3.87817 | + | 2.49235i | 0.126425 | + | 0.0812481i | 0.602325 | − | 0.798251i | \(-0.294241\pi\) |
−0.475900 | + | 0.879499i | \(0.657878\pi\) | |||||||
\(942\) | 0.708184 | 0.0230739 | ||||||||
\(943\) | 1.75980 | + | 26.5297i | 0.0573070 | + | 0.863926i | ||||
\(944\) | −1.61972 | −0.0527176 | ||||||||
\(945\) | −1.43159 | − | 0.920027i | −0.0465696 | − | 0.0299285i | ||||
\(946\) | −3.28689 | − | 22.8608i | −0.106866 | − | 0.743269i | ||||
\(947\) | −4.57794 | − | 10.0243i | −0.148763 | − | 0.325746i | 0.820550 | − | 0.571574i | \(-0.193667\pi\) |
−0.969313 | + | 0.245829i | \(0.920940\pi\) | |||||||
\(948\) | 0.601607 | + | 0.176648i | 0.0195393 | + | 0.00573725i | ||||
\(949\) | −2.09774 | + | 4.59341i | −0.0680955 | + | 0.149108i | ||||
\(950\) | 4.76388 | − | 5.49781i | 0.154561 | − | 0.178372i | ||||
\(951\) | −0.109545 | + | 0.761903i | −0.00355224 | + | 0.0247064i | ||||
\(952\) | −5.63030 | + | 1.65320i | −0.182479 | + | 0.0535807i | ||||
\(953\) | 10.5982 | + | 12.2310i | 0.343310 | + | 0.396201i | 0.900979 | − | 0.433862i | \(-0.142850\pi\) |
−0.557669 | + | 0.830063i | \(0.688304\pi\) | |||||||
\(954\) | −6.87814 | + | 4.42031i | −0.222688 | + | 0.143113i | ||||
\(955\) | 2.15785 | − | 1.38677i | 0.0698265 | − | 0.0448748i | ||||
\(956\) | 9.06435 | + | 10.4608i | 0.293162 | + | 0.338327i | ||||
\(957\) | 0.337674 | − | 0.0991499i | 0.0109154 | − | 0.00320506i | ||||
\(958\) | −0.530105 | + | 3.68696i | −0.0171269 | + | 0.119120i | ||||
\(959\) | 55.7897 | − | 64.3848i | 1.80154 | − | 2.07909i | ||||
\(960\) | 0.0235458 | − | 0.0515580i | 0.000759937 | − | 0.00166403i | ||||
\(961\) | −30.2867 | − | 8.89298i | −0.976990 | − | 0.286870i | ||||
\(962\) | −0.621191 | − | 1.36022i | −0.0200280 | − | 0.0438552i | ||||
\(963\) | 8.30807 | + | 57.7839i | 0.267724 | + | 1.86206i | ||||
\(964\) | 12.7160 | + | 8.17210i | 0.409556 | + | 0.263206i | ||||
\(965\) | −11.1506 | −0.358950 | ||||||||
\(966\) | −0.967281 | + | 0.957343i | −0.0311218 | + | 0.0308020i | ||||
\(967\) | −47.3630 | −1.52309 | −0.761546 | − | 0.648111i | \(-0.775559\pi\) | ||||
−0.761546 | + | 0.648111i | \(0.775559\pi\) | |||||||
\(968\) | −5.08591 | − | 3.26851i | −0.163467 | − | 0.105054i | ||||
\(969\) | −0.0687765 | − | 0.478351i | −0.00220942 | − | 0.0153668i | ||||
\(970\) | 2.05027 | + | 4.48947i | 0.0658303 | + | 0.144148i | ||||
\(971\) | −25.6518 | − | 7.53206i | −0.823206 | − | 0.241715i | −0.157110 | − | 0.987581i | \(-0.550218\pi\) |
−0.666096 | + | 0.745866i | \(0.732036\pi\) | |||||||
\(972\) | −0.634828 | + | 1.39008i | −0.0203621 | + | 0.0445868i | ||||
\(973\) | −12.9483 | + | 14.9431i | −0.415104 | + | 0.479055i | ||||
\(974\) | −3.53307 | + | 24.5730i | −0.113207 | + | 0.787371i | ||||
\(975\) | −0.162978 | + | 0.0478547i | −0.00521947 | + | 0.00153258i | ||||
\(976\) | 3.65841 | + | 4.22203i | 0.117103 | + | 0.135144i | ||||
\(977\) | 48.3742 | − | 31.0882i | 1.54763 | − | 0.994600i | 0.561718 | − | 0.827329i | \(-0.310141\pi\) |
0.985911 | − | 0.167271i | \(-0.0534956\pi\) | |||||||
\(978\) | −0.160792 | + | 0.103335i | −0.00514155 | + | 0.00330427i | ||||
\(979\) | 23.6484 | + | 27.2917i | 0.755805 | + | 0.872246i | ||||
\(980\) | 17.3342 | − | 5.08977i | 0.553720 | − | 0.162587i | ||||
\(981\) | −1.21072 | + | 8.42072i | −0.0386552 | + | 0.268853i | ||||
\(982\) | 22.8569 | − | 26.3782i | 0.729392 | − | 0.841764i | ||||
\(983\) | 2.99332 | − | 6.55445i | 0.0954720 | − | 0.209055i | −0.855870 | − | 0.517190i | \(-0.826978\pi\) |
0.951342 | + | 0.308136i | \(0.0997051\pi\) | |||||||
\(984\) | 0.301505 | + | 0.0885298i | 0.00961162 | + | 0.00282223i | ||||
\(985\) | 3.16505 | + | 6.93049i | 0.100847 | + | 0.220824i | ||||
\(986\) | −0.465294 | − | 3.23619i | −0.0148180 | − | 0.103061i | ||||
\(987\) | −0.992112 | − | 0.637591i | −0.0315793 | − | 0.0202948i | ||||
\(988\) | 21.8006 | 0.693569 | ||||||||
\(989\) | −43.7983 | + | 23.6229i | −1.39271 | + | 0.751165i | ||||
\(990\) | 6.67037 | 0.211998 | ||||||||
\(991\) | −15.9174 | − | 10.2295i | −0.505632 | − | 0.324950i | 0.262834 | − | 0.964841i | \(-0.415343\pi\) |
−0.768465 | + | 0.639891i | \(0.778979\pi\) | |||||||
\(992\) | −1.12569 | − | 7.82931i | −0.0357405 | − | 0.248581i | ||||
\(993\) | 0.426322 | + | 0.933514i | 0.0135289 | + | 0.0296242i | ||||
\(994\) | −47.1049 | − | 13.8312i | −1.49408 | − | 0.438701i | ||||
\(995\) | −6.59591 | + | 14.4430i | −0.209104 | + | 0.457875i | ||||
\(996\) | −0.0509955 | + | 0.0588520i | −0.00161585 | + | 0.00186480i | ||||
\(997\) | −4.44767 | + | 30.9342i | −0.140859 | + | 0.979696i | 0.789684 | + | 0.613514i | \(0.210244\pi\) |
−0.930543 | + | 0.366182i | \(0.880665\pi\) | |||||||
\(998\) | 12.7744 | − | 3.75090i | 0.404366 | − | 0.118733i | ||||
\(999\) | −0.111067 | − | 0.128178i | −0.00351400 | − | 0.00405537i |
(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 | 230.2.g.d.71.2 | ✓ | 30 | |
23.9 | even | 11 | 5290.2.a.bk.1.8 | 15 | |||
23.12 | even | 11 | inner | 230.2.g.d.81.2 | yes | 30 | |
23.14 | odd | 22 | 5290.2.a.bl.1.8 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.g.d.71.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
230.2.g.d.81.2 | yes | 30 | 23.12 | even | 11 | inner | |
5290.2.a.bk.1.8 | 15 | 23.9 | even | 11 | |||
5290.2.a.bl.1.8 | 15 | 23.14 | odd | 22 |