Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(15,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 37 x^{16} + 557 x^{14} + 4495 x^{12} + 21331 x^{10} + 60904 x^{8} + 101893 x^{6} + 91665 x^{4} + \cdots + 5103 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 43.3 | ||
Root | \(-0.691444i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 98.43 |
Dual form | 98.2.e.b.57.3 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623490 | + | 0.781831i | −0.440874 | + | 0.552838i | ||||
\(3\) | 1.93237 | + | 0.930578i | 1.11565 | + | 0.537270i | 0.898546 | − | 0.438879i | \(-0.144624\pi\) |
0.217105 | + | 0.976148i | \(0.430338\pi\) | |||||||
\(4\) | −0.222521 | − | 0.974928i | −0.111260 | − | 0.487464i | ||||
\(5\) | 1.21470 | + | 0.584969i | 0.543231 | + | 0.261606i | 0.685313 | − | 0.728249i | \(-0.259665\pi\) |
−0.142082 | + | 0.989855i | \(0.545380\pi\) | |||||||
\(6\) | −1.93237 | + | 0.930578i | −0.788885 | + | 0.379907i | ||||
\(7\) | −2.20984 | − | 1.45485i | −0.835243 | − | 0.549881i | ||||
\(8\) | 0.900969 | + | 0.433884i | 0.318541 | + | 0.153401i | ||||
\(9\) | 0.997592 | + | 1.25094i | 0.332531 | + | 0.416980i | ||||
\(10\) | −1.21470 | + | 0.584969i | −0.384122 | + | 0.184984i | ||||
\(11\) | 0.840599 | − | 1.05408i | 0.253450 | − | 0.317816i | −0.638787 | − | 0.769384i | \(-0.720563\pi\) |
0.892237 | + | 0.451567i | \(0.149135\pi\) | |||||||
\(12\) | 0.477255 | − | 2.09099i | 0.137772 | − | 0.603617i | ||||
\(13\) | −3.94258 | + | 4.94384i | −1.09347 | + | 1.37117i | −0.170931 | + | 0.985283i | \(0.554677\pi\) |
−0.922544 | + | 0.385891i | \(0.873894\pi\) | |||||||
\(14\) | 2.51526 | − | 0.820642i | 0.672232 | − | 0.219326i | ||||
\(15\) | 1.80289 | + | 2.26075i | 0.465503 | + | 0.583723i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | 0.988153 | − | 4.32938i | 0.239662 | − | 1.05003i | −0.701658 | − | 0.712514i | \(-0.747556\pi\) |
0.941320 | − | 0.337515i | \(-0.109586\pi\) | |||||||
\(18\) | −1.60001 | −0.377127 | ||||||||
\(19\) | 1.39174 | 0.319288 | 0.159644 | − | 0.987175i | \(-0.448965\pi\) | ||||
0.159644 | + | 0.987175i | \(0.448965\pi\) | |||||||
\(20\) | 0.300006 | − | 1.31441i | 0.0670835 | − | 0.293912i | ||||
\(21\) | −2.91638 | − | 4.86773i | −0.636406 | − | 1.06223i | ||||
\(22\) | 0.300006 | + | 1.31441i | 0.0639616 | + | 0.280234i | ||||
\(23\) | −1.24953 | − | 5.47455i | −0.260545 | − | 1.14152i | −0.920663 | − | 0.390359i | \(-0.872351\pi\) |
0.660118 | − | 0.751162i | \(-0.270506\pi\) | |||||||
\(24\) | 1.33724 | + | 1.67684i | 0.272963 | + | 0.342284i | ||||
\(25\) | −1.98414 | − | 2.48803i | −0.396828 | − | 0.497606i | ||||
\(26\) | −1.40709 | − | 6.16487i | −0.275953 | − | 1.20903i | ||||
\(27\) | −0.668151 | − | 2.92736i | −0.128586 | − | 0.563371i | ||||
\(28\) | −0.926636 | + | 2.47817i | −0.175118 | + | 0.468331i | ||||
\(29\) | −1.36054 | + | 5.96092i | −0.252646 | + | 1.10692i | 0.676278 | + | 0.736646i | \(0.263592\pi\) |
−0.928925 | + | 0.370269i | \(0.879265\pi\) | |||||||
\(30\) | −2.89161 | −0.527933 | ||||||||
\(31\) | 4.88865 | 0.878027 | 0.439013 | − | 0.898481i | \(-0.355328\pi\) | ||||
0.439013 | + | 0.898481i | \(0.355328\pi\) | |||||||
\(32\) | 0.222521 | − | 0.974928i | 0.0393365 | − | 0.172345i | ||||
\(33\) | 2.60525 | − | 1.25462i | 0.453515 | − | 0.218401i | ||||
\(34\) | 2.76874 | + | 3.47189i | 0.474836 | + | 0.595425i | ||||
\(35\) | −1.83326 | − | 3.05990i | −0.309877 | − | 0.517217i | ||||
\(36\) | 0.997592 | − | 1.25094i | 0.166265 | − | 0.208490i | ||||
\(37\) | −0.318780 | + | 1.39667i | −0.0524072 | + | 0.229611i | −0.994348 | − | 0.106167i | \(-0.966142\pi\) |
0.941941 | + | 0.335778i | \(0.108999\pi\) | |||||||
\(38\) | −0.867738 | + | 1.08811i | −0.140766 | + | 0.176515i | ||||
\(39\) | −12.2191 | + | 5.88443i | −1.95663 | + | 0.942262i | ||||
\(40\) | 0.840599 | + | 1.05408i | 0.132910 | + | 0.166664i | ||||
\(41\) | 5.29397 | + | 2.54944i | 0.826779 | + | 0.398156i | 0.798906 | − | 0.601456i | \(-0.205412\pi\) |
0.0278726 | + | 0.999611i | \(0.491127\pi\) | |||||||
\(42\) | 5.62408 | + | 0.754867i | 0.867814 | + | 0.116479i | ||||
\(43\) | −7.44405 | + | 3.58487i | −1.13521 | + | 0.546687i | −0.904558 | − | 0.426350i | \(-0.859799\pi\) |
−0.230649 | + | 0.973037i | \(0.574085\pi\) | |||||||
\(44\) | −1.21470 | − | 0.584969i | −0.183123 | − | 0.0881874i | ||||
\(45\) | 0.480014 | + | 2.10308i | 0.0715563 | + | 0.313508i | ||||
\(46\) | 5.05924 | + | 2.43640i | 0.745944 | + | 0.359228i | ||||
\(47\) | 2.40436 | − | 3.01497i | 0.350711 | − | 0.439778i | −0.574917 | − | 0.818212i | \(-0.694966\pi\) |
0.925628 | + | 0.378433i | \(0.123537\pi\) | |||||||
\(48\) | −2.14476 | −0.309570 | ||||||||
\(49\) | 2.76683 | + | 6.42998i | 0.395261 | + | 0.918569i | ||||
\(50\) | 3.18231 | 0.450047 | ||||||||
\(51\) | 5.93830 | − | 7.44639i | 0.831528 | − | 1.04270i | ||||
\(52\) | 5.69719 | + | 2.74362i | 0.790059 | + | 0.380472i | ||||
\(53\) | 2.97310 | + | 13.0260i | 0.408386 | + | 1.78926i | 0.591651 | + | 0.806194i | \(0.298476\pi\) |
−0.183265 | + | 0.983064i | \(0.558667\pi\) | |||||||
\(54\) | 2.70529 | + | 1.30280i | 0.368143 | + | 0.177288i | ||||
\(55\) | 1.63768 | − | 0.788665i | 0.220825 | − | 0.106344i | ||||
\(56\) | −1.35977 | − | 2.26959i | −0.181706 | − | 0.303287i | ||||
\(57\) | 2.68936 | + | 1.29513i | 0.356214 | + | 0.171544i | ||||
\(58\) | −3.81215 | − | 4.78029i | −0.500560 | − | 0.627683i | ||||
\(59\) | 6.07405 | − | 2.92511i | 0.790773 | − | 0.380816i | 0.00551511 | − | 0.999985i | \(-0.498244\pi\) |
0.785258 | + | 0.619168i | \(0.212530\pi\) | |||||||
\(60\) | 1.80289 | − | 2.26075i | 0.232752 | − | 0.291861i | ||||
\(61\) | −2.30850 | + | 10.1142i | −0.295572 | + | 1.29499i | 0.581073 | + | 0.813851i | \(0.302633\pi\) |
−0.876646 | + | 0.481136i | \(0.840224\pi\) | |||||||
\(62\) | −3.04802 | + | 3.82210i | −0.387099 | + | 0.485407i | ||||
\(63\) | −0.384593 | − | 4.21573i | −0.0484542 | − | 0.531132i | ||||
\(64\) | 0.623490 | + | 0.781831i | 0.0779362 | + | 0.0977289i | ||||
\(65\) | −7.68105 | + | 3.69900i | −0.952717 | + | 0.458804i | ||||
\(66\) | −0.643443 | + | 2.81911i | −0.0792023 | + | 0.347008i | ||||
\(67\) | −10.3879 | −1.26908 | −0.634539 | − | 0.772891i | \(-0.718810\pi\) | ||||
−0.634539 | + | 0.772891i | \(0.718810\pi\) | |||||||
\(68\) | −4.44072 | −0.538516 | ||||||||
\(69\) | 2.67995 | − | 11.7416i | 0.322628 | − | 1.41352i | ||||
\(70\) | 3.53534 | + | 0.474516i | 0.422554 | + | 0.0567155i | ||||
\(71\) | −1.29530 | − | 5.67509i | −0.153724 | − | 0.673509i | −0.991783 | − | 0.127930i | \(-0.959167\pi\) |
0.838059 | − | 0.545579i | \(-0.183690\pi\) | |||||||
\(72\) | 0.356036 | + | 1.55990i | 0.0419593 | + | 0.183836i | ||||
\(73\) | −4.79069 | − | 6.00734i | −0.560708 | − | 0.703105i | 0.417981 | − | 0.908456i | \(-0.362738\pi\) |
−0.978688 | + | 0.205351i | \(0.934167\pi\) | |||||||
\(74\) | −0.893203 | − | 1.12004i | −0.103833 | − | 0.130202i | ||||
\(75\) | −1.51877 | − | 6.65418i | −0.175373 | − | 0.768359i | ||||
\(76\) | −0.309692 | − | 1.35685i | −0.0355241 | − | 0.155641i | ||||
\(77\) | −3.39112 | + | 1.10640i | −0.386454 | + | 0.126086i | ||||
\(78\) | 3.01788 | − | 13.2222i | 0.341707 | − | 1.49712i | ||||
\(79\) | −5.78120 | −0.650436 | −0.325218 | − | 0.945639i | \(-0.605438\pi\) | ||||
−0.325218 | + | 0.945639i | \(0.605438\pi\) | |||||||
\(80\) | −1.34822 | −0.150735 | ||||||||
\(81\) | 2.50113 | − | 10.9582i | 0.277904 | − | 1.21758i | ||||
\(82\) | −5.29397 | + | 2.54944i | −0.584621 | + | 0.281539i | ||||
\(83\) | 4.84202 | + | 6.07170i | 0.531480 | + | 0.666455i | 0.973002 | − | 0.230795i | \(-0.0741327\pi\) |
−0.441522 | + | 0.897250i | \(0.645561\pi\) | |||||||
\(84\) | −4.09673 | + | 3.92643i | −0.446990 | + | 0.428409i | ||||
\(85\) | 3.73287 | − | 4.68086i | 0.404886 | − | 0.507711i | ||||
\(86\) | 1.83853 | − | 8.05512i | 0.198254 | − | 0.868606i | ||||
\(87\) | −8.17617 | + | 10.2526i | −0.876577 | + | 1.09919i | ||||
\(88\) | 1.21470 | − | 0.584969i | 0.129488 | − | 0.0623579i | ||||
\(89\) | 6.48525 | + | 8.13225i | 0.687436 | + | 0.862017i | 0.996015 | − | 0.0891815i | \(-0.0284251\pi\) |
−0.308580 | + | 0.951198i | \(0.599854\pi\) | |||||||
\(90\) | −1.94354 | − | 0.935958i | −0.204867 | − | 0.0986587i | ||||
\(91\) | 15.9050 | − | 5.18926i | 1.66730 | − | 0.543982i | ||||
\(92\) | −5.05924 | + | 2.43640i | −0.527462 | + | 0.254012i | ||||
\(93\) | 9.44665 | + | 4.54927i | 0.979572 | + | 0.471737i | ||||
\(94\) | 0.858105 | + | 3.75960i | 0.0885068 | + | 0.387773i | ||||
\(95\) | 1.69055 | + | 0.814127i | 0.173447 | + | 0.0835277i | ||||
\(96\) | 1.33724 | − | 1.67684i | 0.136481 | − | 0.171142i | ||||
\(97\) | 3.70350 | 0.376033 | 0.188017 | − | 0.982166i | \(-0.439794\pi\) | ||||
0.188017 | + | 0.982166i | \(0.439794\pi\) | |||||||
\(98\) | −6.75225 | − | 1.84584i | −0.682080 | − | 0.186458i | ||||
\(99\) | 2.15716 | 0.216803 | ||||||||
\(100\) | −1.98414 | + | 2.48803i | −0.198414 | + | 0.248803i | ||||
\(101\) | −12.9698 | − | 6.24594i | −1.29055 | − | 0.621495i | −0.342468 | − | 0.939530i | \(-0.611263\pi\) |
−0.948079 | + | 0.318035i | \(0.896977\pi\) | |||||||
\(102\) | 2.11936 | + | 9.28550i | 0.209847 | + | 0.919402i | ||||
\(103\) | −1.50907 | − | 0.726731i | −0.148693 | − | 0.0716069i | 0.358057 | − | 0.933700i | \(-0.383439\pi\) |
−0.506751 | + | 0.862093i | \(0.669154\pi\) | |||||||
\(104\) | −5.69719 | + | 2.74362i | −0.558656 | + | 0.269034i | ||||
\(105\) | −0.695051 | − | 7.61883i | −0.0678301 | − | 0.743522i | ||||
\(106\) | −12.0378 | − | 5.79711i | −1.16922 | − | 0.563065i | ||||
\(107\) | 9.00966 | + | 11.2978i | 0.870997 | + | 1.09220i | 0.994996 | + | 0.0999131i | \(0.0318565\pi\) |
−0.123999 | + | 0.992282i | \(0.539572\pi\) | |||||||
\(108\) | −2.70529 | + | 1.30280i | −0.260316 | + | 0.125362i | ||||
\(109\) | 11.5675 | − | 14.5052i | 1.10796 | − | 1.38934i | 0.195246 | − | 0.980754i | \(-0.437450\pi\) |
0.912719 | − | 0.408589i | \(-0.133979\pi\) | |||||||
\(110\) | −0.404474 | + | 1.77211i | −0.0385650 | + | 0.168964i | ||||
\(111\) | −1.91571 | + | 2.40222i | −0.181831 | + | 0.228009i | ||||
\(112\) | 2.62224 | + | 0.351958i | 0.247778 | + | 0.0332569i | ||||
\(113\) | −0.715156 | − | 0.896778i | −0.0672763 | − | 0.0843618i | 0.747055 | − | 0.664763i | \(-0.231467\pi\) |
−0.814331 | + | 0.580401i | \(0.802896\pi\) | |||||||
\(114\) | −2.68936 | + | 1.29513i | −0.251881 | + | 0.121300i | ||||
\(115\) | 1.68464 | − | 7.38087i | 0.157093 | − | 0.688270i | ||||
\(116\) | 6.11422 | 0.567691 | ||||||||
\(117\) | −10.1175 | −0.935366 | ||||||||
\(118\) | −1.50017 | + | 6.57265i | −0.138101 | + | 0.605062i | ||||
\(119\) | −8.48226 | + | 8.12965i | −0.777568 | + | 0.745243i | ||||
\(120\) | 0.643443 | + | 2.81911i | 0.0587380 | + | 0.257348i | ||||
\(121\) | 2.04326 | + | 8.95209i | 0.185751 | + | 0.813827i | ||||
\(122\) | −6.46826 | − | 8.11094i | −0.585609 | − | 0.734330i | ||||
\(123\) | 7.85743 | + | 9.85290i | 0.708480 | + | 0.888406i | ||||
\(124\) | −1.08783 | − | 4.76608i | −0.0976896 | − | 0.428006i | ||||
\(125\) | −2.45475 | − | 10.7549i | −0.219559 | − | 0.961952i | ||||
\(126\) | 3.53578 | + | 2.32778i | 0.314992 | + | 0.207375i | ||||
\(127\) | −2.98988 | + | 13.0995i | −0.265309 | + | 1.16240i | 0.650093 | + | 0.759855i | \(0.274730\pi\) |
−0.915402 | + | 0.402541i | \(0.868127\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −17.7206 | −1.56021 | ||||||||
\(130\) | 1.89706 | − | 8.31157i | 0.166383 | − | 0.728973i | ||||
\(131\) | 13.8012 | − | 6.64631i | 1.20582 | − | 0.580691i | 0.280489 | − | 0.959857i | \(-0.409504\pi\) |
0.925328 | + | 0.379167i | \(0.123789\pi\) | |||||||
\(132\) | −1.80289 | − | 2.26075i | −0.156921 | − | 0.196773i | ||||
\(133\) | −3.07554 | − | 2.02478i | −0.266683 | − | 0.175570i | ||||
\(134\) | 6.47672 | − | 8.12155i | 0.559504 | − | 0.701595i | ||||
\(135\) | 0.900812 | − | 3.94671i | 0.0775295 | − | 0.339679i | ||||
\(136\) | 2.76874 | − | 3.47189i | 0.237418 | − | 0.297712i | ||||
\(137\) | −1.57604 | + | 0.758980i | −0.134650 | + | 0.0648440i | −0.499996 | − | 0.866028i | \(-0.666665\pi\) |
0.365346 | + | 0.930872i | \(0.380951\pi\) | |||||||
\(138\) | 7.50904 | + | 9.41604i | 0.639212 | + | 0.801546i | ||||
\(139\) | 1.54942 | + | 0.746161i | 0.131420 | + | 0.0632885i | 0.498438 | − | 0.866925i | \(-0.333907\pi\) |
−0.367018 | + | 0.930214i | \(0.619621\pi\) | |||||||
\(140\) | −2.57524 | + | 2.46819i | −0.217648 | + | 0.208600i | ||||
\(141\) | 7.45176 | − | 3.58858i | 0.627551 | − | 0.302213i | ||||
\(142\) | 5.24457 | + | 2.52565i | 0.440115 | + | 0.211948i | ||||
\(143\) | 1.89706 | + | 8.31157i | 0.158640 | + | 0.695049i | ||||
\(144\) | −1.44156 | − | 0.694220i | −0.120130 | − | 0.0578516i | ||||
\(145\) | −5.13961 | + | 6.44486i | −0.426821 | + | 0.535217i | ||||
\(146\) | 7.68367 | 0.635905 | ||||||||
\(147\) | −0.637080 | + | 14.9998i | −0.0525454 | + | 1.23716i | ||||
\(148\) | 1.43259 | 0.117758 | ||||||||
\(149\) | −3.55462 | + | 4.45735i | −0.291206 | + | 0.365161i | −0.905817 | − | 0.423670i | \(-0.860742\pi\) |
0.614611 | + | 0.788830i | \(0.289313\pi\) | |||||||
\(150\) | 6.14939 | + | 2.96139i | 0.502096 | + | 0.241797i | ||||
\(151\) | −4.26030 | − | 18.6656i | −0.346698 | − | 1.51898i | −0.784623 | − | 0.619973i | \(-0.787144\pi\) |
0.437925 | − | 0.899012i | \(-0.355714\pi\) | |||||||
\(152\) | 1.25392 | + | 0.603855i | 0.101706 | + | 0.0489791i | ||||
\(153\) | 6.40157 | − | 3.08283i | 0.517536 | − | 0.249232i | ||||
\(154\) | 1.24931 | − | 3.34111i | 0.100672 | − | 0.269235i | ||||
\(155\) | 5.93824 | + | 2.85971i | 0.476971 | + | 0.229697i | ||||
\(156\) | 8.45590 | + | 10.6034i | 0.677014 | + | 0.848949i | ||||
\(157\) | 8.48490 | − | 4.08611i | 0.677169 | − | 0.326107i | −0.0634958 | − | 0.997982i | \(-0.520225\pi\) |
0.740665 | + | 0.671875i | \(0.234511\pi\) | |||||||
\(158\) | 3.60452 | − | 4.51992i | 0.286760 | − | 0.359586i | ||||
\(159\) | −6.37659 | + | 27.9377i | −0.505697 | + | 2.21560i | ||||
\(160\) | 0.840599 | − | 1.05408i | 0.0664552 | − | 0.0833322i | ||||
\(161\) | −5.20337 | + | 13.9158i | −0.410083 | + | 1.09672i | ||||
\(162\) | 7.00802 | + | 8.78778i | 0.550602 | + | 0.690434i | ||||
\(163\) | 5.78590 | − | 2.78634i | 0.453187 | − | 0.218243i | −0.193344 | − | 0.981131i | \(-0.561933\pi\) |
0.646531 | + | 0.762888i | \(0.276219\pi\) | |||||||
\(164\) | 1.30750 | − | 5.72854i | 0.102099 | − | 0.447324i | ||||
\(165\) | 3.89851 | 0.303499 | ||||||||
\(166\) | −7.76599 | −0.602758 | ||||||||
\(167\) | 2.52705 | − | 11.0717i | 0.195549 | − | 0.856755i | −0.777998 | − | 0.628267i | \(-0.783765\pi\) |
0.973547 | − | 0.228488i | \(-0.0733782\pi\) | |||||||
\(168\) | −0.515534 | − | 5.65105i | −0.0397743 | − | 0.435988i | ||||
\(169\) | −6.00483 | − | 26.3089i | −0.461910 | − | 2.02376i | ||||
\(170\) | 1.33224 | + | 5.83694i | 0.102178 | + | 0.447673i | ||||
\(171\) | 1.38839 | + | 1.74099i | 0.106173 | + | 0.133137i | ||||
\(172\) | 5.15145 | + | 6.45971i | 0.392794 | + | 0.492548i | ||||
\(173\) | −3.47023 | − | 15.2041i | −0.263837 | − | 1.15594i | −0.917050 | − | 0.398771i | \(-0.869437\pi\) |
0.653214 | − | 0.757174i | \(-0.273420\pi\) | |||||||
\(174\) | −2.91804 | − | 12.7848i | −0.221216 | − | 0.969211i | ||||
\(175\) | 0.764928 | + | 8.38479i | 0.0578231 | + | 0.633830i | ||||
\(176\) | −0.300006 | + | 1.31441i | −0.0226138 | + | 0.0990777i | ||||
\(177\) | 14.4593 | 1.08683 | ||||||||
\(178\) | −10.4015 | −0.779628 | ||||||||
\(179\) | −1.26060 | + | 5.52304i | −0.0942215 | + | 0.412811i | −0.999939 | − | 0.0110711i | \(-0.996476\pi\) |
0.905717 | + | 0.423882i | \(0.139333\pi\) | |||||||
\(180\) | 1.94354 | − | 0.935958i | 0.144863 | − | 0.0697622i | ||||
\(181\) | −3.98556 | − | 4.99774i | −0.296245 | − | 0.371479i | 0.611326 | − | 0.791379i | \(-0.290637\pi\) |
−0.907570 | + | 0.419900i | \(0.862065\pi\) | |||||||
\(182\) | −5.85950 | + | 15.6705i | −0.434335 | + | 1.16157i | ||||
\(183\) | −13.8729 | + | 17.3961i | −1.02551 | + | 1.28595i | ||||
\(184\) | 1.24953 | − | 5.47455i | 0.0921165 | − | 0.403589i | ||||
\(185\) | −1.20423 | + | 1.51006i | −0.0885368 | + | 0.111022i | ||||
\(186\) | −9.44665 | + | 4.54927i | −0.692662 | + | 0.333568i | ||||
\(187\) | −3.73287 | − | 4.68086i | −0.272974 | − | 0.342299i | ||||
\(188\) | −3.47440 | − | 1.67318i | −0.253396 | − | 0.122029i | ||||
\(189\) | −2.78236 | + | 7.44107i | −0.202387 | + | 0.541258i | ||||
\(190\) | −1.69055 | + | 0.814127i | −0.122646 | + | 0.0590630i | ||||
\(191\) | −13.0416 | − | 6.28050i | −0.943657 | − | 0.454441i | −0.102199 | − | 0.994764i | \(-0.532588\pi\) |
−0.841458 | + | 0.540323i | \(0.818302\pi\) | |||||||
\(192\) | 0.477255 | + | 2.09099i | 0.0344429 | + | 0.150904i | ||||
\(193\) | 3.53355 | + | 1.70167i | 0.254351 | + | 0.122489i | 0.556715 | − | 0.830704i | \(-0.312062\pi\) |
−0.302364 | + | 0.953192i | \(0.597776\pi\) | |||||||
\(194\) | −2.30909 | + | 2.89551i | −0.165783 | + | 0.207886i | ||||
\(195\) | −18.2848 | −1.30940 | ||||||||
\(196\) | 5.65309 | − | 4.12826i | 0.403792 | − | 0.294876i | ||||
\(197\) | −9.22994 | −0.657606 | −0.328803 | − | 0.944399i | \(-0.606645\pi\) | ||||
−0.328803 | + | 0.944399i | \(0.606645\pi\) | |||||||
\(198\) | −1.34497 | + | 1.68654i | −0.0955828 | + | 0.119857i | ||||
\(199\) | 14.7371 | + | 7.09699i | 1.04468 | + | 0.503093i | 0.875866 | − | 0.482555i | \(-0.160291\pi\) |
0.168817 | + | 0.985647i | \(0.446005\pi\) | |||||||
\(200\) | −0.708131 | − | 3.10253i | −0.0500724 | − | 0.219382i | ||||
\(201\) | −20.0731 | − | 9.66671i | −1.41585 | − | 0.681837i | ||||
\(202\) | 12.9698 | − | 6.24594i | 0.912554 | − | 0.439463i | ||||
\(203\) | 11.6788 | − | 11.1933i | 0.819693 | − | 0.785618i | ||||
\(204\) | −8.58109 | − | 4.13244i | −0.600797 | − | 0.289328i | ||||
\(205\) | 4.93924 | + | 6.19361i | 0.344972 | + | 0.432581i | ||||
\(206\) | 1.50907 | − | 0.726731i | 0.105142 | − | 0.0506337i | ||||
\(207\) | 5.60181 | − | 7.02445i | 0.389353 | − | 0.488233i | ||||
\(208\) | 1.40709 | − | 6.16487i | 0.0975642 | − | 0.427457i | ||||
\(209\) | 1.16990 | − | 1.46701i | 0.0809236 | − | 0.101475i | ||||
\(210\) | 6.39000 | + | 4.20685i | 0.440952 | + | 0.290300i | ||||
\(211\) | −14.2940 | − | 17.9241i | −0.984040 | − | 1.23395i | −0.972233 | − | 0.234017i | \(-0.924813\pi\) |
−0.0118073 | − | 0.999930i | \(-0.503758\pi\) | |||||||
\(212\) | 12.0378 | − | 5.79711i | 0.826761 | − | 0.398147i | ||||
\(213\) | 2.77812 | − | 12.1717i | 0.190353 | − | 0.833993i | ||||
\(214\) | −14.4504 | −0.987807 | ||||||||
\(215\) | −11.1393 | −0.759697 | ||||||||
\(216\) | 0.668151 | − | 2.92736i | 0.0454619 | − | 0.199182i | ||||
\(217\) | −10.8031 | − | 7.11224i | −0.733365 | − | 0.482810i | ||||
\(218\) | 4.12839 | + | 18.0877i | 0.279610 | + | 1.22505i | ||||
\(219\) | −3.66707 | − | 16.0665i | −0.247798 | − | 1.08567i | ||||
\(220\) | −1.13331 | − | 1.42113i | −0.0764077 | − | 0.0958123i | ||||
\(221\) | 17.5079 | + | 21.9542i | 1.17771 | + | 1.47680i | ||||
\(222\) | −0.683709 | − | 2.99552i | −0.0458875 | − | 0.201046i | ||||
\(223\) | 3.82009 | + | 16.7369i | 0.255812 | + | 1.12079i | 0.925680 | + | 0.378306i | \(0.123493\pi\) |
−0.669868 | + | 0.742480i | \(0.733649\pi\) | |||||||
\(224\) | −1.91011 | + | 1.83070i | −0.127625 | + | 0.122319i | ||||
\(225\) | 1.13302 | − | 4.96408i | 0.0755346 | − | 0.330939i | ||||
\(226\) | 1.14702 | 0.0762988 | ||||||||
\(227\) | −4.63731 | −0.307789 | −0.153895 | − | 0.988087i | \(-0.549182\pi\) | ||||
−0.153895 | + | 0.988087i | \(0.549182\pi\) | |||||||
\(228\) | 0.664216 | − | 2.91012i | 0.0439888 | − | 0.192728i | ||||
\(229\) | 4.57302 | − | 2.20225i | 0.302194 | − | 0.145529i | −0.276642 | − | 0.960973i | \(-0.589222\pi\) |
0.578836 | + | 0.815444i | \(0.303507\pi\) | |||||||
\(230\) | 4.72025 | + | 5.91900i | 0.311244 | + | 0.390287i | ||||
\(231\) | −7.58248 | − | 1.01772i | −0.498890 | − | 0.0669614i | ||||
\(232\) | −3.81215 | + | 4.78029i | −0.250280 | + | 0.313841i | ||||
\(233\) | 2.39584 | − | 10.4969i | 0.156957 | − | 0.687674i | −0.833805 | − | 0.552059i | \(-0.813842\pi\) |
0.990762 | − | 0.135614i | \(-0.0433007\pi\) | |||||||
\(234\) | 6.30818 | − | 7.91021i | 0.412379 | − | 0.517106i | ||||
\(235\) | 4.68424 | − | 2.25581i | 0.305566 | − | 0.147153i | ||||
\(236\) | −4.20337 | − | 5.27086i | −0.273616 | − | 0.343104i | ||||
\(237\) | −11.1714 | − | 5.37986i | −0.725660 | − | 0.349459i | ||||
\(238\) | −1.06741 | − | 11.7005i | −0.0691899 | − | 0.758428i | ||||
\(239\) | 23.8771 | − | 11.4986i | 1.54448 | − | 0.743784i | 0.548743 | − | 0.835991i | \(-0.315107\pi\) |
0.995740 | + | 0.0922073i | \(0.0293922\pi\) | |||||||
\(240\) | −2.60525 | − | 1.25462i | −0.168168 | − | 0.0809854i | ||||
\(241\) | 2.25719 | + | 9.88941i | 0.145399 | + | 0.637033i | 0.994128 | + | 0.108206i | \(0.0345107\pi\) |
−0.848730 | + | 0.528827i | \(0.822632\pi\) | |||||||
\(242\) | −8.27298 | − | 3.98406i | −0.531807 | − | 0.256105i | ||||
\(243\) | 9.41421 | − | 11.8050i | 0.603922 | − | 0.757294i | ||||
\(244\) | 10.3743 | 0.664145 | ||||||||
\(245\) | −0.400474 | + | 9.42901i | −0.0255853 | + | 0.602398i | ||||
\(246\) | −12.6023 | −0.803495 | ||||||||
\(247\) | −5.48706 | + | 6.88056i | −0.349133 | + | 0.437799i | ||||
\(248\) | 4.40452 | + | 2.12110i | 0.279687 | + | 0.134690i | ||||
\(249\) | 3.70636 | + | 16.2386i | 0.234881 | + | 1.02908i | ||||
\(250\) | 9.93906 | + | 4.78640i | 0.628602 | + | 0.302719i | ||||
\(251\) | −5.07195 | + | 2.44252i | −0.320138 | + | 0.154171i | −0.587050 | − | 0.809550i | \(-0.699711\pi\) |
0.266912 | + | 0.963721i | \(0.413997\pi\) | |||||||
\(252\) | −4.02445 | + | 1.31304i | −0.253517 | + | 0.0827136i | ||||
\(253\) | −6.82095 | − | 3.28480i | −0.428830 | − | 0.206513i | ||||
\(254\) | −8.37747 | − | 10.5050i | −0.525649 | − | 0.659143i | ||||
\(255\) | 11.5692 | − | 5.57142i | 0.724490 | − | 0.348896i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −0.931692 | + | 4.08201i | −0.0581173 | + | 0.254629i | −0.995638 | − | 0.0933010i | \(-0.970258\pi\) |
0.937521 | + | 0.347930i | \(0.113115\pi\) | |||||||
\(258\) | 11.0486 | − | 13.8546i | 0.687858 | − | 0.862547i | ||||
\(259\) | 2.73640 | − | 2.62264i | 0.170031 | − | 0.162963i | ||||
\(260\) | 5.31545 | + | 6.66536i | 0.329650 | + | 0.413368i | ||||
\(261\) | −8.81402 | + | 4.24461i | −0.545574 | + | 0.262735i | ||||
\(262\) | −3.40862 | + | 14.9341i | −0.210585 | + | 0.922633i | ||||
\(263\) | −21.0019 | −1.29503 | −0.647516 | − | 0.762052i | \(-0.724192\pi\) | ||||
−0.647516 | + | 0.762052i | \(0.724192\pi\) | |||||||
\(264\) | 2.89161 | 0.177966 | ||||||||
\(265\) | −4.00838 | + | 17.5619i | −0.246233 | + | 1.07882i | ||||
\(266\) | 3.50060 | − | 1.14212i | 0.214636 | − | 0.0700281i | ||||
\(267\) | 4.96419 | + | 21.7495i | 0.303803 | + | 1.33105i | ||||
\(268\) | 2.31152 | + | 10.1274i | 0.141198 | + | 0.618630i | ||||
\(269\) | 7.01902 | + | 8.80157i | 0.427957 | + | 0.536641i | 0.948325 | − | 0.317301i | \(-0.102777\pi\) |
−0.520368 | + | 0.853942i | \(0.674205\pi\) | |||||||
\(270\) | 2.52402 | + | 3.16502i | 0.153607 | + | 0.192617i | ||||
\(271\) | −1.46018 | − | 6.39745i | −0.0886993 | − | 0.388617i | 0.911019 | − | 0.412365i | \(-0.135297\pi\) |
−0.999718 | + | 0.0237480i | \(0.992440\pi\) | |||||||
\(272\) | 0.988153 | + | 4.32938i | 0.0599156 | + | 0.262507i | ||||
\(273\) | 35.5633 | + | 4.77333i | 2.15239 | + | 0.288895i | ||||
\(274\) | 0.389249 | − | 1.70541i | 0.0235154 | − | 0.103028i | ||||
\(275\) | −4.29045 | −0.258724 | ||||||||
\(276\) | −12.0436 | −0.724937 | ||||||||
\(277\) | 5.45364 | − | 23.8940i | 0.327677 | − | 1.43565i | −0.495868 | − | 0.868398i | \(-0.665150\pi\) |
0.823545 | − | 0.567250i | \(-0.191993\pi\) | |||||||
\(278\) | −1.54942 | + | 0.746161i | −0.0929280 | + | 0.0447518i | ||||
\(279\) | 4.87687 | + | 6.11540i | 0.291971 | + | 0.366120i | ||||
\(280\) | −0.324069 | − | 3.55229i | −0.0193668 | − | 0.212290i | ||||
\(281\) | 2.25301 | − | 2.82518i | 0.134403 | − | 0.168536i | −0.710075 | − | 0.704126i | \(-0.751339\pi\) |
0.844478 | + | 0.535589i | \(0.179911\pi\) | |||||||
\(282\) | −1.84043 | + | 8.06346i | −0.109596 | + | 0.480172i | ||||
\(283\) | −8.89801 | + | 11.1578i | −0.528932 | + | 0.663260i | −0.972479 | − | 0.232992i | \(-0.925149\pi\) |
0.443547 | + | 0.896251i | \(0.353720\pi\) | |||||||
\(284\) | −5.24457 | + | 2.52565i | −0.311208 | + | 0.149870i | ||||
\(285\) | 2.50916 | + | 3.14638i | 0.148630 | + | 0.186376i | ||||
\(286\) | −7.68105 | − | 3.69900i | −0.454190 | − | 0.218726i | ||||
\(287\) | −7.98979 | − | 13.3358i | −0.471623 | − | 0.787187i | ||||
\(288\) | 1.44156 | − | 0.694220i | 0.0849448 | − | 0.0409073i | ||||
\(289\) | −2.45062 | − | 1.18016i | −0.144154 | − | 0.0694211i | ||||
\(290\) | −1.83430 | − | 8.03661i | −0.107714 | − | 0.471926i | ||||
\(291\) | 7.15651 | + | 3.44640i | 0.419522 | + | 0.202031i | ||||
\(292\) | −4.79069 | + | 6.00734i | −0.280354 | + | 0.351553i | ||||
\(293\) | 12.5071 | 0.730675 | 0.365338 | − | 0.930875i | \(-0.380954\pi\) | ||||
0.365338 | + | 0.930875i | \(0.380954\pi\) | |||||||
\(294\) | −11.3301 | − | 9.85033i | −0.660786 | − | 0.574483i | ||||
\(295\) | 9.08925 | 0.529196 | ||||||||
\(296\) | −0.893203 | + | 1.12004i | −0.0519164 | + | 0.0651011i | ||||
\(297\) | −3.64731 | − | 1.75645i | −0.211639 | − | 0.101920i | ||||
\(298\) | −1.26863 | − | 5.55823i | −0.0734897 | − | 0.321979i | ||||
\(299\) | 31.9916 | + | 15.4064i | 1.85012 | + | 0.890973i | ||||
\(300\) | −6.14939 | + | 2.96139i | −0.355035 | + | 0.170976i | ||||
\(301\) | 21.6656 | + | 2.90798i | 1.24879 | + | 0.167613i | ||||
\(302\) | 17.2496 | + | 8.30697i | 0.992603 | + | 0.478012i | ||||
\(303\) | −19.2501 | − | 24.1389i | −1.10589 | − | 1.38674i | ||||
\(304\) | −1.25392 | + | 0.603855i | −0.0719171 | + | 0.0346335i | ||||
\(305\) | −8.72061 | + | 10.9353i | −0.499341 | + | 0.626154i | ||||
\(306\) | −1.58106 | + | 6.92707i | −0.0903830 | + | 0.395994i | ||||
\(307\) | −13.5861 | + | 17.0364i | −0.775400 | + | 0.972321i | −0.999998 | − | 0.00213071i | \(-0.999322\pi\) |
0.224598 | + | 0.974452i | \(0.427893\pi\) | |||||||
\(308\) | 1.83326 | + | 3.05990i | 0.104460 | + | 0.174354i | ||||
\(309\) | −2.23980 | − | 2.80862i | −0.127418 | − | 0.159777i | ||||
\(310\) | −5.93824 | + | 2.85971i | −0.337270 | + | 0.162420i | ||||
\(311\) | −1.42989 | + | 6.26476i | −0.0810816 | + | 0.355242i | −0.999152 | − | 0.0411758i | \(-0.986890\pi\) |
0.918070 | + | 0.396418i | \(0.129747\pi\) | |||||||
\(312\) | −13.5622 | −0.767809 | ||||||||
\(313\) | −17.6262 | −0.996290 | −0.498145 | − | 0.867094i | \(-0.665985\pi\) | ||||
−0.498145 | + | 0.867094i | \(0.665985\pi\) | |||||||
\(314\) | −2.09560 | + | 9.18142i | −0.118261 | + | 0.518137i | ||||
\(315\) | 1.99891 | − | 5.34583i | 0.112626 | − | 0.301203i | ||||
\(316\) | 1.28644 | + | 5.63625i | 0.0723678 | + | 0.317064i | ||||
\(317\) | 0.481112 | + | 2.10789i | 0.0270219 | + | 0.118391i | 0.986640 | − | 0.162915i | \(-0.0520896\pi\) |
−0.959618 | + | 0.281306i | \(0.909232\pi\) | |||||||
\(318\) | −17.8668 | − | 22.4043i | −1.00192 | − | 1.25637i | ||||
\(319\) | 5.13961 | + | 6.44486i | 0.287763 | + | 0.360843i | ||||
\(320\) | 0.300006 | + | 1.31441i | 0.0167709 | + | 0.0734780i | ||||
\(321\) | 6.89651 | + | 30.2156i | 0.384926 | + | 1.68647i | ||||
\(322\) | −7.63554 | − | 12.7445i | −0.425512 | − | 0.710223i | ||||
\(323\) | 1.37526 | − | 6.02539i | 0.0765213 | − | 0.335262i | ||||
\(324\) | −11.2400 | −0.624444 | ||||||||
\(325\) | 20.1231 | 1.11623 | ||||||||
\(326\) | −1.42900 | + | 6.26086i | −0.0791450 | + | 0.346757i | ||||
\(327\) | 35.8508 | − | 17.2648i | 1.98255 | − | 0.954748i | ||||
\(328\) | 3.66354 | + | 4.59393i | 0.202285 | + | 0.253657i | ||||
\(329\) | −9.69958 | + | 3.16463i | −0.534755 | + | 0.174472i | ||||
\(330\) | −2.43068 | + | 3.04798i | −0.133805 | + | 0.167786i | ||||
\(331\) | −4.18421 | + | 18.3322i | −0.229985 | + | 1.00763i | 0.719666 | + | 0.694320i | \(0.244295\pi\) |
−0.949651 | + | 0.313309i | \(0.898562\pi\) | |||||||
\(332\) | 4.84202 | − | 6.07170i | 0.265740 | − | 0.333228i | ||||
\(333\) | −2.06516 | + | 0.994529i | −0.113170 | + | 0.0544999i | ||||
\(334\) | 7.08063 | + | 8.87882i | 0.387435 | + | 0.485828i | ||||
\(335\) | −12.6181 | − | 6.07658i | −0.689403 | − | 0.331999i | ||||
\(336\) | 4.73960 | + | 3.12031i | 0.258566 | + | 0.170227i | ||||
\(337\) | 6.56597 | − | 3.16200i | 0.357671 | − | 0.172245i | −0.246415 | − | 0.969164i | \(-0.579253\pi\) |
0.604086 | + | 0.796919i | \(0.293538\pi\) | |||||||
\(338\) | 24.3131 | + | 11.7086i | 1.32246 | + | 0.636862i | ||||
\(339\) | −0.547422 | − | 2.39841i | −0.0297319 | − | 0.130264i | ||||
\(340\) | −5.39415 | − | 2.59768i | −0.292539 | − | 0.140879i | ||||
\(341\) | 4.10939 | − | 5.15301i | 0.222536 | − | 0.279051i | ||||
\(342\) | −2.22681 | −0.120412 | ||||||||
\(343\) | 3.24040 | − | 18.2346i | 0.174965 | − | 0.984575i | ||||
\(344\) | −8.26228 | −0.445472 | ||||||||
\(345\) | 10.1238 | − | 12.6949i | 0.545048 | − | 0.683468i | ||||
\(346\) | 14.0507 | + | 6.76645i | 0.755369 | + | 0.363767i | ||||
\(347\) | −3.32033 | − | 14.5473i | −0.178245 | − | 0.780941i | −0.982440 | − | 0.186576i | \(-0.940261\pi\) |
0.804196 | − | 0.594364i | \(-0.202596\pi\) | |||||||
\(348\) | 11.8149 | + | 5.68976i | 0.633345 | + | 0.305003i | ||||
\(349\) | 22.6289 | − | 10.8975i | 1.21130 | − | 0.583329i | 0.284420 | − | 0.958700i | \(-0.408199\pi\) |
0.926875 | + | 0.375371i | \(0.122485\pi\) | |||||||
\(350\) | −7.03242 | − | 4.62978i | −0.375898 | − | 0.247472i | ||||
\(351\) | 17.1066 | + | 8.23812i | 0.913084 | + | 0.439718i | ||||
\(352\) | −0.840599 | − | 1.05408i | −0.0448041 | − | 0.0561825i | ||||
\(353\) | −6.67348 | + | 3.21378i | −0.355193 | + | 0.171052i | −0.602968 | − | 0.797766i | \(-0.706015\pi\) |
0.247774 | + | 0.968818i | \(0.420301\pi\) | |||||||
\(354\) | −9.01524 | + | 11.3047i | −0.479154 | + | 0.600841i | ||||
\(355\) | 1.74635 | − | 7.65125i | 0.0926865 | − | 0.406086i | ||||
\(356\) | 6.48525 | − | 8.13225i | 0.343718 | − | 0.431008i | ||||
\(357\) | −23.9561 | + | 7.81604i | −1.26789 | + | 0.413669i | ||||
\(358\) | −3.53212 | − | 4.42913i | −0.186678 | − | 0.234087i | ||||
\(359\) | −12.5648 | + | 6.05088i | −0.663143 | + | 0.319353i | −0.735005 | − | 0.678062i | \(-0.762820\pi\) |
0.0718617 | + | 0.997415i | \(0.477106\pi\) | |||||||
\(360\) | −0.480014 | + | 2.10308i | −0.0252990 | + | 0.110842i | ||||
\(361\) | −17.0630 | −0.898055 | ||||||||
\(362\) | 6.39235 | 0.335974 | ||||||||
\(363\) | −4.38230 | + | 19.2001i | −0.230011 | + | 1.00775i | ||||
\(364\) | −8.59835 | − | 14.3515i | −0.450676 | − | 0.752225i | ||||
\(365\) | −2.30515 | − | 10.0995i | −0.120657 | − | 0.528633i | ||||
\(366\) | −4.95118 | − | 21.6925i | −0.258802 | − | 1.13389i | ||||
\(367\) | −0.429818 | − | 0.538974i | −0.0224363 | − | 0.0281342i | 0.770487 | − | 0.637456i | \(-0.220013\pi\) |
−0.792923 | + | 0.609322i | \(0.791442\pi\) | |||||||
\(368\) | 3.50110 | + | 4.39024i | 0.182508 | + | 0.228857i | ||||
\(369\) | 2.09202 | + | 9.16574i | 0.108906 | + | 0.477149i | ||||
\(370\) | −0.429785 | − | 1.88301i | −0.0223435 | − | 0.0978931i | ||||
\(371\) | 12.3808 | − | 33.1108i | 0.642778 | − | 1.71903i | ||||
\(372\) | 2.33313 | − | 10.2221i | 0.120967 | − | 0.529992i | ||||
\(373\) | −24.2264 | −1.25439 | −0.627197 | − | 0.778860i | \(-0.715798\pi\) | ||||
−0.627197 | + | 0.778860i | \(0.715798\pi\) | |||||||
\(374\) | 5.98705 | 0.309583 | ||||||||
\(375\) | 5.26485 | − | 23.0668i | 0.271876 | − | 1.19117i | ||||
\(376\) | 3.47440 | − | 1.67318i | 0.179178 | − | 0.0862877i | ||||
\(377\) | −24.1058 | − | 30.2277i | −1.24151 | − | 1.55681i | ||||
\(378\) | −4.08289 | − | 6.81477i | −0.210001 | − | 0.350514i | ||||
\(379\) | −2.46956 | + | 3.09673i | −0.126853 | + | 0.159069i | −0.841202 | − | 0.540721i | \(-0.818151\pi\) |
0.714349 | + | 0.699790i | \(0.246723\pi\) | |||||||
\(380\) | 0.417532 | − | 1.82933i | 0.0214189 | − | 0.0938425i | ||||
\(381\) | −17.9677 | + | 22.5308i | −0.920513 | + | 1.15429i | ||||
\(382\) | 13.0416 | − | 6.28050i | 0.667266 | − | 0.321339i | ||||
\(383\) | −0.678704 | − | 0.851068i | −0.0346802 | − | 0.0434876i | 0.764189 | − | 0.644992i | \(-0.223139\pi\) |
−0.798869 | + | 0.601505i | \(0.794568\pi\) | |||||||
\(384\) | −1.93237 | − | 0.930578i | −0.0986106 | − | 0.0474884i | ||||
\(385\) | −4.76641 | − | 0.639750i | −0.242919 | − | 0.0326047i | ||||
\(386\) | −3.53355 | + | 1.70167i | −0.179853 | + | 0.0866127i | ||||
\(387\) | −11.9106 | − | 5.73583i | −0.605449 | − | 0.291569i | ||||
\(388\) | −0.824106 | − | 3.61064i | −0.0418376 | − | 0.183303i | ||||
\(389\) | −15.2951 | − | 7.36573i | −0.775492 | − | 0.373457i | 0.00390128 | − | 0.999992i | \(-0.498758\pi\) |
−0.779393 | + | 0.626535i | \(0.784472\pi\) | |||||||
\(390\) | 11.4004 | − | 14.2956i | 0.577281 | − | 0.723888i | ||||
\(391\) | −24.9361 | −1.26107 | ||||||||
\(392\) | −0.297040 | + | 6.99369i | −0.0150028 | + | 0.353235i | ||||
\(393\) | 32.8539 | 1.65726 | ||||||||
\(394\) | 5.75477 | − | 7.21626i | 0.289921 | − | 0.363550i | ||||
\(395\) | −7.02243 | − | 3.38182i | −0.353337 | − | 0.170158i | ||||
\(396\) | −0.480014 | − | 2.10308i | −0.0241216 | − | 0.105684i | ||||
\(397\) | −8.60578 | − | 4.14433i | −0.431912 | − | 0.207998i | 0.205280 | − | 0.978703i | \(-0.434190\pi\) |
−0.637191 | + | 0.770706i | \(0.719904\pi\) | |||||||
\(398\) | −14.7371 | + | 7.09699i | −0.738702 | + | 0.355740i | ||||
\(399\) | −4.05885 | − | 6.77464i | −0.203197 | − | 0.339156i | ||||
\(400\) | 2.86716 | + | 1.38075i | 0.143358 | + | 0.0690377i | ||||
\(401\) | −10.7660 | − | 13.5001i | −0.537626 | − | 0.674162i | 0.436621 | − | 0.899646i | \(-0.356175\pi\) |
−0.974247 | + | 0.225484i | \(0.927604\pi\) | |||||||
\(402\) | 20.0731 | − | 9.66671i | 1.00116 | − | 0.482132i | ||||
\(403\) | −19.2739 | + | 24.1687i | −0.960100 | + | 1.20393i | ||||
\(404\) | −3.20328 | + | 14.0345i | −0.159369 | + | 0.698243i | ||||
\(405\) | 9.44833 | − | 11.8478i | 0.469491 | − | 0.588724i | ||||
\(406\) | 1.46967 | + | 16.1098i | 0.0729383 | + | 0.799516i | ||||
\(407\) | 1.20423 | + | 1.51006i | 0.0596915 | + | 0.0748508i | ||||
\(408\) | 8.58109 | − | 4.13244i | 0.424827 | − | 0.204586i | ||||
\(409\) | 0.983605 | − | 4.30945i | 0.0486361 | − | 0.213089i | −0.944771 | − | 0.327733i | \(-0.893716\pi\) |
0.993407 | + | 0.114644i | \(0.0365727\pi\) | |||||||
\(410\) | −7.92193 | −0.391236 | ||||||||
\(411\) | −3.75177 | −0.185061 | ||||||||
\(412\) | −0.372710 | + | 1.63295i | −0.0183621 | + | 0.0804496i | ||||
\(413\) | −17.6783 | − | 2.37279i | −0.869892 | − | 0.116757i | ||||
\(414\) | 1.99926 | + | 8.75934i | 0.0982584 | + | 0.430498i | ||||
\(415\) | 2.32985 | + | 10.2077i | 0.114368 | + | 0.501078i | ||||
\(416\) | 3.94258 | + | 4.94384i | 0.193301 | + | 0.242392i | ||||
\(417\) | 2.29968 | + | 2.88371i | 0.112616 | + | 0.141216i | ||||
\(418\) | 0.417532 | + | 1.82933i | 0.0204222 | + | 0.0894753i | ||||
\(419\) | 1.06671 | + | 4.67354i | 0.0521120 | + | 0.228317i | 0.994277 | − | 0.106831i | \(-0.0340705\pi\) |
−0.942165 | + | 0.335149i | \(0.891213\pi\) | |||||||
\(420\) | −7.27315 | + | 2.37297i | −0.354893 | + | 0.115789i | ||||
\(421\) | −6.49465 | + | 28.4549i | −0.316530 | + | 1.38681i | 0.527064 | + | 0.849826i | \(0.323293\pi\) |
−0.843593 | + | 0.536982i | \(0.819564\pi\) | |||||||
\(422\) | 22.9258 | 1.11601 | ||||||||
\(423\) | 6.17011 | 0.300001 | ||||||||
\(424\) | −2.97310 | + | 13.0260i | −0.144386 | + | 0.632598i | ||||
\(425\) | −12.7323 | + | 6.13154i | −0.617606 | + | 0.297423i | ||||
\(426\) | 7.78411 | + | 9.76097i | 0.377141 | + | 0.472920i | ||||
\(427\) | 19.8160 | − | 18.9922i | 0.958964 | − | 0.919099i | ||||
\(428\) | 9.00966 | − | 11.2978i | 0.435498 | − | 0.546098i | ||||
\(429\) | −4.06875 | + | 17.8264i | −0.196441 | + | 0.860665i | ||||
\(430\) | 6.94526 | − | 8.70909i | 0.334930 | − | 0.419989i | ||||
\(431\) | 16.4961 | − | 7.94411i | 0.794590 | − | 0.382655i | 0.00787381 | − | 0.999969i | \(-0.497494\pi\) |
0.786716 | + | 0.617314i | \(0.211779\pi\) | |||||||
\(432\) | 1.87212 | + | 2.34756i | 0.0900723 | + | 0.112947i | ||||
\(433\) | 23.2031 | + | 11.1740i | 1.11507 | + | 0.536989i | 0.898366 | − | 0.439248i | \(-0.144755\pi\) |
0.216704 | + | 0.976237i | \(0.430469\pi\) | |||||||
\(434\) | 12.2962 | − | 4.01183i | 0.590238 | − | 0.192574i | ||||
\(435\) | −15.9290 | + | 7.67103i | −0.763739 | + | 0.367798i | ||||
\(436\) | −16.7155 | − | 8.04976i | −0.800527 | − | 0.385514i | ||||
\(437\) | −1.73902 | − | 7.61916i | −0.0831888 | − | 0.364474i | ||||
\(438\) | 14.8477 | + | 7.15026i | 0.709449 | + | 0.341652i | ||||
\(439\) | −11.6792 | + | 14.6453i | −0.557420 | + | 0.698982i | −0.978078 | − | 0.208237i | \(-0.933228\pi\) |
0.420659 | + | 0.907219i | \(0.361799\pi\) | |||||||
\(440\) | 1.81769 | 0.0866549 | ||||||||
\(441\) | −5.28336 | + | 9.87563i | −0.251589 | + | 0.470268i | ||||
\(442\) | −28.0805 | −1.33565 | ||||||||
\(443\) | −1.41046 | + | 1.76867i | −0.0670131 | + | 0.0840318i | −0.814208 | − | 0.580573i | \(-0.802829\pi\) |
0.747195 | + | 0.664605i | \(0.231400\pi\) | |||||||
\(444\) | 2.76828 | + | 1.33313i | 0.131377 | + | 0.0632677i | ||||
\(445\) | 3.12053 | + | 13.6719i | 0.147927 | + | 0.648112i | ||||
\(446\) | −15.4672 | − | 7.44863i | −0.732395 | − | 0.352703i | ||||
\(447\) | −11.0167 | + | 5.30538i | −0.521074 | + | 0.250936i | ||||
\(448\) | −0.240369 | − | 2.63481i | −0.0113564 | − | 0.124483i | ||||
\(449\) | −0.220557 | − | 0.106215i | −0.0104087 | − | 0.00501258i | 0.428672 | − | 0.903460i | \(-0.358982\pi\) |
−0.439081 | + | 0.898448i | \(0.644696\pi\) | |||||||
\(450\) | 3.17465 | + | 3.98088i | 0.149654 | + | 0.187661i | ||||
\(451\) | 7.13741 | − | 3.43720i | 0.336088 | − | 0.161851i | ||||
\(452\) | −0.715156 | + | 0.896778i | −0.0336381 | + | 0.0421809i | ||||
\(453\) | 9.13734 | − | 40.0333i | 0.429310 | − | 1.88093i | ||||
\(454\) | 2.89132 | − | 3.62560i | 0.135696 | − | 0.170158i | ||||
\(455\) | 22.3554 | + | 3.00056i | 1.04804 | + | 0.140668i | ||||
\(456\) | 1.86109 | + | 2.33374i | 0.0871537 | + | 0.109287i | ||||
\(457\) | 27.2101 | − | 13.1037i | 1.27283 | − | 0.612965i | 0.329296 | − | 0.944227i | \(-0.393189\pi\) |
0.943539 | + | 0.331262i | \(0.107474\pi\) | |||||||
\(458\) | −1.12944 | + | 4.94841i | −0.0527754 | + | 0.231224i | ||||
\(459\) | −13.3339 | −0.622373 | ||||||||
\(460\) | −7.57069 | −0.352985 | ||||||||
\(461\) | −5.36722 | + | 23.5153i | −0.249977 | + | 1.09522i | 0.681615 | + | 0.731711i | \(0.261278\pi\) |
−0.931591 | + | 0.363508i | \(0.881579\pi\) | |||||||
\(462\) | 5.52329 | − | 5.29368i | 0.256966 | − | 0.246284i | ||||
\(463\) | 4.43486 | + | 19.4304i | 0.206105 | + | 0.903006i | 0.967130 | + | 0.254283i | \(0.0818395\pi\) |
−0.761024 | + | 0.648723i | \(0.775303\pi\) | |||||||
\(464\) | −1.36054 | − | 5.96092i | −0.0631615 | − | 0.276729i | ||||
\(465\) | 8.81367 | + | 11.0520i | 0.408724 | + | 0.512524i | ||||
\(466\) | 6.71301 | + | 8.41784i | 0.310974 | + | 0.389949i | ||||
\(467\) | −8.24315 | − | 36.1156i | −0.381447 | − | 1.67123i | −0.692951 | − | 0.720985i | \(-0.743690\pi\) |
0.311503 | − | 0.950245i | \(-0.399167\pi\) | |||||||
\(468\) | 2.25136 | + | 9.86386i | 0.104069 | + | 0.455957i | ||||
\(469\) | 22.9555 | + | 15.1128i | 1.05999 | + | 0.697843i | ||||
\(470\) | −1.15691 | + | 5.06876i | −0.0533643 | + | 0.233804i | ||||
\(471\) | 20.1984 | 0.930692 | ||||||||
\(472\) | 6.74168 | 0.310311 | ||||||||
\(473\) | −2.47874 | + | 10.8601i | −0.113972 | + | 0.499346i | ||||
\(474\) | 11.1714 | − | 5.37986i | 0.513119 | − | 0.247105i | ||||
\(475\) | −2.76141 | − | 3.46270i | −0.126702 | − | 0.158880i | ||||
\(476\) | 9.81330 | + | 6.46058i | 0.449792 | + | 0.296120i | ||||
\(477\) | −13.3288 | + | 16.7138i | −0.610284 | + | 0.765272i | ||||
\(478\) | −5.89716 | + | 25.8372i | −0.269730 | + | 1.18176i | ||||
\(479\) | −10.0862 | + | 12.6478i | −0.460852 | + | 0.577890i | −0.956905 | − | 0.290402i | \(-0.906211\pi\) |
0.496052 | + | 0.868293i | \(0.334782\pi\) | |||||||
\(480\) | 2.60525 | − | 1.25462i | 0.118913 | − | 0.0572653i | ||||
\(481\) | −5.64809 | − | 7.08248i | −0.257531 | − | 0.322933i | ||||
\(482\) | −9.13919 | − | 4.40120i | −0.416279 | − | 0.200469i | ||||
\(483\) | −23.0045 | + | 22.0482i | −1.04674 | + | 1.00323i | ||||
\(484\) | 8.27298 | − | 3.98406i | 0.376044 | − | 0.181093i | ||||
\(485\) | 4.49864 | + | 2.16643i | 0.204273 | + | 0.0983726i | ||||
\(486\) | 3.35989 | + | 14.7206i | 0.152408 | + | 0.667742i | ||||
\(487\) | 0.969150 | + | 0.466718i | 0.0439164 | + | 0.0211490i | 0.455713 | − | 0.890127i | \(-0.349384\pi\) |
−0.411797 | + | 0.911276i | \(0.635099\pi\) | |||||||
\(488\) | −6.46826 | + | 8.11094i | −0.292804 | + | 0.367165i | ||||
\(489\) | 13.7734 | 0.622854 | ||||||||
\(490\) | −7.12221 | − | 6.19200i | −0.321749 | − | 0.279726i | ||||
\(491\) | −2.32348 | −0.104857 | −0.0524286 | − | 0.998625i | \(-0.516696\pi\) | ||||
−0.0524286 | + | 0.998625i | \(0.516696\pi\) | |||||||
\(492\) | 7.85743 | − | 9.85290i | 0.354240 | − | 0.444203i | ||||
\(493\) | 24.4627 | + | 11.7806i | 1.10174 | + | 0.530572i | ||||
\(494\) | −1.95831 | − | 8.57991i | −0.0881085 | − | 0.386029i | ||||
\(495\) | 2.62031 | + | 1.26187i | 0.117774 | + | 0.0567170i | ||||
\(496\) | −4.40452 | + | 2.12110i | −0.197769 | + | 0.0952404i | ||||
\(497\) | −5.39398 | + | 14.4255i | −0.241953 | + | 0.647074i | ||||
\(498\) | −15.0067 | − | 7.22686i | −0.672468 | − | 0.323843i | ||||
\(499\) | 0.837465 | + | 1.05015i | 0.0374901 | + | 0.0470111i | 0.800223 | − | 0.599702i | \(-0.204714\pi\) |
−0.762733 | + | 0.646714i | \(0.776143\pi\) | |||||||
\(500\) | −9.93906 | + | 4.78640i | −0.444488 | + | 0.214054i | ||||
\(501\) | 15.1863 | − | 19.0430i | 0.678473 | − | 0.850778i | ||||
\(502\) | 1.25267 | − | 5.48829i | 0.0559093 | − | 0.244955i | ||||
\(503\) | 20.9686 | − | 26.2938i | 0.934943 | − | 1.17238i | −0.0498682 | − | 0.998756i | \(-0.515880\pi\) |
0.984812 | − | 0.173626i | \(-0.0555484\pi\) | |||||||
\(504\) | 1.48263 | − | 3.96511i | 0.0660416 | − | 0.176620i | ||||
\(505\) | −12.1008 | − | 15.1739i | −0.538478 | − | 0.675230i | ||||
\(506\) | 6.82095 | − | 3.28480i | 0.303228 | − | 0.146027i | ||||
\(507\) | 12.8790 | − | 56.4264i | 0.571974 | − | 2.50598i | ||||
\(508\) | 13.4364 | 0.596145 | ||||||||
\(509\) | 12.7052 | 0.563149 | 0.281574 | − | 0.959539i | \(-0.409143\pi\) | ||||
0.281574 | + | 0.959539i | \(0.409143\pi\) | |||||||
\(510\) | −2.85735 | + | 12.5189i | −0.126526 | + | 0.554345i | ||||
\(511\) | 1.84691 | + | 20.2450i | 0.0817026 | + | 0.895587i | ||||
\(512\) | 0.222521 | + | 0.974928i | 0.00983413 | + | 0.0430861i | ||||
\(513\) | −0.929895 | − | 4.07413i | −0.0410558 | − | 0.179877i | ||||
\(514\) | −2.61054 | − | 3.27352i | −0.115146 | − | 0.144389i | ||||
\(515\) | −1.40796 | − | 1.76552i | −0.0620419 | − | 0.0777981i | ||||
\(516\) | 3.94321 | + | 17.2763i | 0.173590 | + | 0.760549i | ||||
\(517\) | −1.15691 | − | 5.06876i | −0.0508809 | − | 0.222924i | ||||
\(518\) | 0.344349 | + | 3.77459i | 0.0151298 | + | 0.165846i | ||||
\(519\) | 7.44283 | − | 32.6092i | 0.326704 | − | 1.43138i | ||||
\(520\) | −8.52532 | −0.373860 | ||||||||
\(521\) | −1.89668 | −0.0830952 | −0.0415476 | − | 0.999137i | \(-0.513229\pi\) | ||||
−0.0415476 | + | 0.999137i | \(0.513229\pi\) | |||||||
\(522\) | 2.17688 | − | 9.53755i | 0.0952796 | − | 0.417447i | ||||
\(523\) | −32.8133 | + | 15.8021i | −1.43483 | + | 0.690976i | −0.979888 | − | 0.199547i | \(-0.936053\pi\) |
−0.454938 | + | 0.890523i | \(0.650339\pi\) | |||||||
\(524\) | −9.55073 | − | 11.9762i | −0.417226 | − | 0.523184i | ||||
\(525\) | −6.32458 | + | 16.9143i | −0.276027 | + | 0.738201i | ||||
\(526\) | 13.0945 | − | 16.4199i | 0.570946 | − | 0.715943i | ||||
\(527\) | 4.83073 | − | 21.1648i | 0.210430 | − | 0.921954i | ||||
\(528\) | −1.80289 | + | 2.26075i | −0.0784606 | + | 0.0983865i | ||||
\(529\) | −7.68704 | + | 3.70188i | −0.334219 | + | 0.160952i | ||||
\(530\) | −11.2312 | − | 14.0835i | −0.487853 | − | 0.611749i | ||||
\(531\) | 9.71855 | + | 4.68021i | 0.421749 | + | 0.203104i | ||||
\(532\) | −1.28964 | + | 3.44898i | −0.0559130 | + | 0.149532i | ||||
\(533\) | −33.4759 | + | 16.1211i | −1.45000 | + | 0.698284i | ||||
\(534\) | −20.0996 | − | 9.67945i | −0.869794 | − | 0.418871i | ||||
\(535\) | 4.33520 | + | 18.9938i | 0.187427 | + | 0.821172i | ||||
\(536\) | −9.35914 | − | 4.50712i | −0.404253 | − | 0.194678i | ||||
\(537\) | −7.57556 | + | 9.49945i | −0.326909 | + | 0.409931i | ||||
\(538\) | −11.2576 | −0.485351 | ||||||||
\(539\) | 9.10350 | + | 2.48859i | 0.392115 | + | 0.107191i | ||||
\(540\) | −4.04821 | −0.174207 | ||||||||
\(541\) | −15.9773 | + | 20.0349i | −0.686919 | + | 0.861369i | −0.995971 | − | 0.0896759i | \(-0.971417\pi\) |
0.309052 | + | 0.951045i | \(0.399988\pi\) | |||||||
\(542\) | 5.91213 | + | 2.84713i | 0.253948 | + | 0.122295i | ||||
\(543\) | −3.05078 | − | 13.3663i | −0.130922 | − | 0.573605i | ||||
\(544\) | −4.00095 | − | 1.92676i | −0.171539 | − | 0.0826090i | ||||
\(545\) | 22.5361 | − | 10.8528i | 0.965341 | − | 0.464884i | ||||
\(546\) | −25.9053 | + | 24.8284i | −1.10865 | + | 1.06256i | ||||
\(547\) | 15.0226 | + | 7.23448i | 0.642318 | + | 0.309324i | 0.726541 | − | 0.687123i | \(-0.241127\pi\) |
−0.0842232 | + | 0.996447i | \(0.526841\pi\) | |||||||
\(548\) | 1.09065 | + | 1.36763i | 0.0465903 | + | 0.0584224i | ||||
\(549\) | −14.9552 | + | 7.20203i | −0.638271 | + | 0.307375i | ||||
\(550\) | 2.67505 | − | 3.35441i | 0.114064 | − | 0.143032i | ||||
\(551\) | −1.89352 | + | 8.29607i | −0.0806669 | + | 0.353425i | ||||
\(552\) | 7.50904 | − | 9.41604i | 0.319606 | − | 0.400773i | ||||
\(553\) | 12.7756 | + | 8.41077i | 0.543272 | + | 0.357662i | ||||
\(554\) | 15.2808 | + | 19.1615i | 0.649217 | + | 0.814093i | ||||
\(555\) | −3.73224 | + | 1.79735i | −0.158425 | + | 0.0762934i | ||||
\(556\) | 0.382675 | − | 1.67661i | 0.0162290 | − | 0.0711040i | ||||
\(557\) | 33.3889 | 1.41473 | 0.707367 | − | 0.706846i | \(-0.249883\pi\) | ||||
0.707367 | + | 0.706846i | \(0.249883\pi\) | |||||||
\(558\) | −7.82189 | −0.331127 | ||||||||
\(559\) | 11.6258 | − | 50.9358i | 0.491718 | − | 2.15436i | ||||
\(560\) | 2.97935 | + | 1.96145i | 0.125900 | + | 0.0828865i | ||||
\(561\) | −2.85735 | − | 12.5189i | −0.120637 | − | 0.528547i | ||||
\(562\) | 0.804089 | + | 3.52295i | 0.0339185 | + | 0.148607i | ||||
\(563\) | 11.4558 | + | 14.3651i | 0.482804 | + | 0.605418i | 0.962254 | − | 0.272152i | \(-0.0877352\pi\) |
−0.479450 | + | 0.877569i | \(0.659164\pi\) | |||||||
\(564\) | −5.15678 | − | 6.46639i | −0.217139 | − | 0.272284i | ||||
\(565\) | −0.344114 | − | 1.50766i | −0.0144770 | − | 0.0634278i | ||||
\(566\) | −3.17566 | − | 13.9135i | −0.133483 | − | 0.584828i | ||||
\(567\) | −21.4696 | + | 20.5771i | −0.901640 | + | 0.864158i | ||||
\(568\) | 1.29530 | − | 5.67509i | 0.0543497 | − | 0.238121i | ||||
\(569\) | 5.85600 | 0.245496 | 0.122748 | − | 0.992438i | \(-0.460829\pi\) | ||||
0.122748 | + | 0.992438i | \(0.460829\pi\) | |||||||
\(570\) | −4.02437 | −0.168562 | ||||||||
\(571\) | −0.742150 | + | 3.25157i | −0.0310580 | + | 0.136074i | −0.988080 | − | 0.153941i | \(-0.950803\pi\) |
0.957022 | + | 0.290015i | \(0.0936604\pi\) | |||||||
\(572\) | 7.68105 | − | 3.69900i | 0.321161 | − | 0.154663i | ||||
\(573\) | −19.3566 | − | 24.2725i | −0.808635 | − | 1.01400i | ||||
\(574\) | 15.4079 | + | 2.06806i | 0.643113 | + | 0.0863190i | ||||
\(575\) | −11.1416 | + | 13.9711i | −0.464637 | + | 0.582636i | ||||
\(576\) | −0.356036 | + | 1.55990i | −0.0148348 | + | 0.0649957i | ||||
\(577\) | 18.0909 | − | 22.6853i | 0.753134 | − | 0.944400i | −0.246560 | − | 0.969127i | \(-0.579300\pi\) |
0.999694 | + | 0.0247274i | \(0.00787177\pi\) | |||||||
\(578\) | 2.45062 | − | 1.18016i | 0.101933 | − | 0.0490881i | ||||
\(579\) | 5.24458 | + | 6.57649i | 0.217957 | + | 0.273310i | ||||
\(580\) | 7.42695 | + | 3.57663i | 0.308387 | + | 0.148511i | ||||
\(581\) | −1.86670 | − | 20.4619i | −0.0774438 | − | 0.848903i | ||||
\(582\) | −7.15651 | + | 3.44640i | −0.296647 | + | 0.142858i | ||||
\(583\) | 16.2296 | + | 7.81576i | 0.672161 | + | 0.323696i | ||||
\(584\) | −1.70978 | − | 7.49102i | −0.0707511 | − | 0.309981i | ||||
\(585\) | −12.2898 | − | 5.91844i | −0.508120 | − | 0.244698i | ||||
\(586\) | −7.79808 | + | 9.77848i | −0.322136 | + | 0.403945i | ||||
\(587\) | −22.5431 | −0.930453 | −0.465226 | − | 0.885192i | \(-0.654027\pi\) | ||||
−0.465226 | + | 0.885192i | \(0.654027\pi\) | |||||||
\(588\) | 14.7655 | − | 2.71667i | 0.608919 | − | 0.112034i | ||||
\(589\) | 6.80374 | 0.280343 | ||||||||
\(590\) | −5.66705 | + | 7.10626i | −0.233309 | + | 0.292560i | ||||
\(591\) | −17.8356 | − | 8.58918i | −0.733659 | − | 0.353312i | ||||
\(592\) | −0.318780 | − | 1.39667i | −0.0131018 | − | 0.0574027i | ||||
\(593\) | 37.8671 | + | 18.2358i | 1.55502 | + | 0.748856i | 0.996731 | − | 0.0807937i | \(-0.0257455\pi\) |
0.558284 | + | 0.829650i | \(0.311460\pi\) | |||||||
\(594\) | 3.64731 | − | 1.75645i | 0.149651 | − | 0.0720681i | ||||
\(595\) | −15.0590 | + | 4.91323i | −0.617359 | + | 0.201423i | ||||
\(596\) | 5.13657 | + | 2.47364i | 0.210402 | + | 0.101324i | ||||
\(597\) | 21.8731 | + | 27.4280i | 0.895206 | + | 1.12255i | ||||
\(598\) | −31.9916 | + | 15.4064i | −1.30824 | + | 0.630013i | ||||
\(599\) | 3.21155 | − | 4.02715i | 0.131220 | − | 0.164545i | −0.711881 | − | 0.702301i | \(-0.752156\pi\) |
0.843101 | + | 0.537756i | \(0.180728\pi\) | |||||||
\(600\) | 1.51877 | − | 6.65418i | 0.0620037 | − | 0.271656i | ||||
\(601\) | −13.1096 | + | 16.4389i | −0.534753 | + | 0.670559i | −0.973668 | − | 0.227970i | \(-0.926791\pi\) |
0.438916 | + | 0.898528i | \(0.355363\pi\) | |||||||
\(602\) | −15.7819 | + | 15.1258i | −0.643220 | + | 0.616481i | ||||
\(603\) | −10.3628 | − | 12.9946i | −0.422007 | − | 0.529181i | ||||
\(604\) | −17.2496 | + | 8.30697i | −0.701876 | + | 0.338006i | ||||
\(605\) | −2.75475 | + | 12.0694i | −0.111997 | + | 0.490689i | ||||
\(606\) | 30.8748 | 1.25420 | ||||||||
\(607\) | −5.05431 | −0.205148 | −0.102574 | − | 0.994725i | \(-0.532708\pi\) | ||||
−0.102574 | + | 0.994725i | \(0.532708\pi\) | |||||||
\(608\) | 0.309692 | − | 1.35685i | 0.0125597 | − | 0.0550275i | ||||
\(609\) | 32.9840 | − | 10.7615i | 1.33658 | − | 0.436080i | ||||
\(610\) | −3.11235 | − | 13.6361i | −0.126015 | − | 0.552110i | ||||
\(611\) | 5.42615 | + | 23.7735i | 0.219518 | + | 0.961773i | ||||
\(612\) | −4.43002 | − | 5.55507i | −0.179073 | − | 0.224551i | ||||
\(613\) | −13.1223 | − | 16.4549i | −0.530005 | − | 0.664605i | 0.442695 | − | 0.896672i | \(-0.354023\pi\) |
−0.972700 | + | 0.232067i | \(0.925451\pi\) | |||||||
\(614\) | −4.84883 | − | 21.2441i | −0.195683 | − | 0.857342i | ||||
\(615\) | 3.78078 | + | 16.5647i | 0.152456 | + | 0.667952i | ||||
\(616\) | −3.53534 | − | 0.474516i | −0.142443 | − | 0.0191188i | ||||
\(617\) | 1.12264 | − | 4.91861i | 0.0451958 | − | 0.198016i | −0.947290 | − | 0.320378i | \(-0.896190\pi\) |
0.992485 | + | 0.122363i | \(0.0390471\pi\) | |||||||
\(618\) | 3.59236 | 0.144506 | ||||||||
\(619\) | −36.8766 | −1.48220 | −0.741098 | − | 0.671397i | \(-0.765695\pi\) | ||||
−0.741098 | + | 0.671397i | \(0.765695\pi\) | |||||||
\(620\) | 1.46662 | − | 6.42570i | 0.0589011 | − | 0.258062i | ||||
\(621\) | −15.1911 | + | 7.31564i | −0.609597 | + | 0.293567i | ||||
\(622\) | −4.00646 | − | 5.02394i | −0.160645 | − | 0.201442i | ||||
\(623\) | −2.50020 | − | 27.4061i | −0.100169 | − | 1.09800i | ||||
\(624\) | 8.45590 | − | 10.6034i | 0.338507 | − | 0.424474i | ||||
\(625\) | −0.231127 | + | 1.01263i | −0.00924507 | + | 0.0405053i | ||||
\(626\) | 10.9897 | − | 13.7807i | 0.439238 | − | 0.550788i | ||||
\(627\) | 3.62584 | − | 1.74611i | 0.144802 | − | 0.0697329i | ||||
\(628\) | −5.87174 | − | 7.36292i | −0.234308 | − | 0.293813i | ||||
\(629\) | 5.73171 | + | 2.76024i | 0.228538 | + | 0.110058i | ||||
\(630\) | 2.93324 | + | 4.89588i | 0.116863 | + | 0.195056i | ||||
\(631\) | 24.6596 | − | 11.8754i | 0.981682 | − | 0.472753i | 0.126999 | − | 0.991903i | \(-0.459466\pi\) |
0.854683 | + | 0.519149i | \(0.173751\pi\) | |||||||
\(632\) | −5.20868 | − | 2.50837i | −0.207190 | − | 0.0997775i | ||||
\(633\) | −10.9415 | − | 47.9376i | −0.434884 | − | 1.90535i | ||||
\(634\) | −1.94798 | − | 0.938099i | −0.0773643 | − | 0.0372567i | ||||
\(635\) | −11.2946 | + | 14.1630i | −0.448214 | + | 0.562043i | ||||
\(636\) | 28.6561 | 1.13629 | ||||||||
\(637\) | −42.6972 | − | 11.6720i | −1.69173 | − | 0.462460i | ||||
\(638\) | −8.24329 | −0.326355 | ||||||||
\(639\) | 5.80701 | − | 7.28177i | 0.229722 | − | 0.288062i | ||||
\(640\) | −1.21470 | − | 0.584969i | −0.0480153 | − | 0.0231229i | ||||
\(641\) | 4.85447 | + | 21.2688i | 0.191740 | + | 0.840068i | 0.975674 | + | 0.219224i | \(0.0703527\pi\) |
−0.783934 | + | 0.620844i | \(0.786790\pi\) | |||||||
\(642\) | −27.9234 | − | 13.4472i | −1.10205 | − | 0.530719i | ||||
\(643\) | −22.0770 | + | 10.6317i | −0.870634 | + | 0.419275i | −0.815195 | − | 0.579187i | \(-0.803370\pi\) |
−0.0554389 | + | 0.998462i | \(0.517656\pi\) | |||||||
\(644\) | 14.7247 | + | 1.97636i | 0.580236 | + | 0.0778796i | ||||
\(645\) | −21.5253 | − | 10.3660i | −0.847557 | − | 0.408162i | ||||
\(646\) | 3.85338 | + | 4.83199i | 0.151609 | + | 0.190112i | ||||
\(647\) | 9.12076 | − | 4.39233i | 0.358574 | − | 0.172680i | −0.245919 | − | 0.969290i | \(-0.579090\pi\) |
0.604493 | + | 0.796610i | \(0.293376\pi\) | |||||||
\(648\) | 7.00802 | − | 8.78778i | 0.275301 | − | 0.345217i | ||||
\(649\) | 2.02255 | − | 8.86136i | 0.0793919 | − | 0.347839i | ||||
\(650\) | −12.5465 | + | 15.7328i | −0.492115 | + | 0.617093i | ||||
\(651\) | −14.2571 | − | 23.7966i | −0.558781 | − | 0.932663i | ||||
\(652\) | −4.00397 | − | 5.02082i | −0.156808 | − | 0.196630i | ||||
\(653\) | 40.9135 | − | 19.7029i | 1.60107 | − | 0.771034i | 0.601457 | − | 0.798905i | \(-0.294587\pi\) |
0.999612 | + | 0.0278715i | \(0.00887291\pi\) | |||||||
\(654\) | −8.85442 | + | 38.7937i | −0.346235 | + | 1.51696i | ||||
\(655\) | 20.6522 | 0.806949 | ||||||||
\(656\) | −5.87586 | −0.229414 | ||||||||
\(657\) | 2.73567 | − | 11.9857i | 0.106728 | − | 0.467608i | ||||
\(658\) | 3.57338 | − | 9.55655i | 0.139305 | − | 0.372553i | ||||
\(659\) | −4.55935 | − | 19.9758i | −0.177607 | − | 0.778148i | −0.982731 | − | 0.185041i | \(-0.940758\pi\) |
0.805124 | − | 0.593107i | \(-0.202099\pi\) | |||||||
\(660\) | −0.867500 | − | 3.80077i | −0.0337674 | − | 0.147945i | ||||
\(661\) | −12.7555 | − | 15.9949i | −0.496132 | − | 0.622130i | 0.469220 | − | 0.883081i | \(-0.344535\pi\) |
−0.965352 | + | 0.260951i | \(0.915964\pi\) | |||||||
\(662\) | −11.7239 | − | 14.7013i | −0.455662 | − | 0.571382i | ||||
\(663\) | 13.4015 | + | 58.7160i | 0.520473 | + | 2.28034i | ||||
\(664\) | 1.72810 | + | 7.57128i | 0.0670631 | + | 0.293823i | ||||
\(665\) | −2.55143 | − | 4.25859i | −0.0989401 | − | 0.165141i | ||||
\(666\) | 0.510053 | − | 2.23469i | 0.0197641 | − | 0.0865924i | ||||
\(667\) | 34.3334 | 1.32939 | ||||||||
\(668\) | −11.3564 | −0.439394 | ||||||||
\(669\) | −8.19319 | + | 35.8967i | −0.316767 | + | 1.38785i | ||||
\(670\) | 12.6181 | − | 6.07658i | 0.487481 | − | 0.234759i | ||||
\(671\) | 8.72061 | + | 10.9353i | 0.336656 | + | 0.422153i | ||||
\(672\) | −5.39464 | + | 1.76008i | −0.208103 | + | 0.0678967i | ||||
\(673\) | 6.76513 | − | 8.48320i | 0.260776 | − | 0.327003i | −0.634156 | − | 0.773205i | \(-0.718652\pi\) |
0.894932 | + | 0.446202i | \(0.147224\pi\) | |||||||
\(674\) | −1.62166 | + | 7.10496i | −0.0624640 | + | 0.273673i | ||||
\(675\) | −5.95766 | + | 7.47067i | −0.229310 | + | 0.287546i | ||||
\(676\) | −24.3131 | + | 11.7086i | −0.935118 | + | 0.450329i | ||||
\(677\) | 10.8832 | + | 13.6470i | 0.418274 | + | 0.524499i | 0.945673 | − | 0.325119i | \(-0.105404\pi\) |
−0.527399 | + | 0.849617i | \(0.676833\pi\) | |||||||
\(678\) | 2.21647 | + | 1.06739i | 0.0851228 | + | 0.0409930i | ||||
\(679\) | −8.18416 | − | 5.38803i | −0.314079 | − | 0.206774i | ||||
\(680\) | 5.39415 | − | 2.59768i | 0.206856 | − | 0.0996166i | ||||
\(681\) | −8.96098 | − | 4.31538i | −0.343386 | − | 0.165366i | ||||
\(682\) | 1.46662 | + | 6.42570i | 0.0561600 | + | 0.246053i | ||||
\(683\) | 28.5306 | + | 13.7396i | 1.09169 | + | 0.525731i | 0.891037 | − | 0.453930i | \(-0.149979\pi\) |
0.200655 | + | 0.979662i | \(0.435693\pi\) | |||||||
\(684\) | 1.38839 | − | 1.74099i | 0.0530865 | − | 0.0665684i | ||||
\(685\) | −2.35839 | −0.0901096 | ||||||||
\(686\) | 12.2360 | + | 13.9025i | 0.467173 | + | 0.530801i | ||||
\(687\) | 10.8861 | 0.415331 | ||||||||
\(688\) | 5.15145 | − | 6.45971i | 0.196397 | − | 0.246274i | ||||
\(689\) | −76.1201 | − | 36.6575i | −2.89994 | − | 1.39654i | ||||
\(690\) | 3.61315 | + | 15.8302i | 0.137550 | + | 0.602647i | ||||
\(691\) | 20.9395 | + | 10.0839i | 0.796575 | + | 0.383610i | 0.787474 | − | 0.616348i | \(-0.211389\pi\) |
0.00910140 | + | 0.999959i | \(0.497103\pi\) | |||||||
\(692\) | −14.0507 | + | 6.76645i | −0.534127 | + | 0.257222i | ||||
\(693\) | −4.76700 | − | 3.13835i | −0.181083 | − | 0.119216i | ||||
\(694\) | 13.4437 | + | 6.47416i | 0.510317 | + | 0.245756i | ||||
\(695\) | 1.44560 | + | 1.81273i | 0.0548347 | + | 0.0687606i | ||||
\(696\) | −11.8149 | + | 5.68976i | −0.447843 | + | 0.215670i | ||||
\(697\) | 16.2687 | − | 20.4004i | 0.616223 | − | 0.772719i | ||||
\(698\) | −5.58887 | + | 24.4864i | −0.211542 | + | 0.926825i | ||||
\(699\) | 14.3978 | − | 18.0543i | 0.544575 | − | 0.682876i | ||||
\(700\) | 8.00435 | − | 2.61154i | 0.302536 | − | 0.0987070i | ||||
\(701\) | 1.95508 | + | 2.45159i | 0.0738424 | + | 0.0925954i | 0.817381 | − | 0.576098i | \(-0.195425\pi\) |
−0.743538 | + | 0.668693i | \(0.766854\pi\) | |||||||
\(702\) | −17.1066 | + | 8.23812i | −0.645648 | + | 0.310928i | ||||
\(703\) | −0.443661 | + | 1.94380i | −0.0167330 | + | 0.0733120i | ||||
\(704\) | 1.34822 | 0.0508128 | ||||||||
\(705\) | 11.1509 | 0.419966 | ||||||||
\(706\) | 1.64821 | − | 7.22129i | 0.0620313 | − | 0.271777i | ||||
\(707\) | 19.5744 | + | 32.6717i | 0.736172 | + | 1.22875i | ||||
\(708\) | −3.21750 | − | 14.0968i | −0.120921 | − | 0.529790i | ||||
\(709\) | −0.483517 | − | 2.11843i | −0.0181589 | − | 0.0795592i | 0.965037 | − | 0.262115i | \(-0.0844201\pi\) |
−0.983195 | + | 0.182556i | \(0.941563\pi\) | |||||||
\(710\) | 4.89316 | + | 6.13582i | 0.183637 | + | 0.230273i | ||||
\(711\) | −5.76728 | − | 7.23193i | −0.216290 | − | 0.271219i | ||||
\(712\) | 2.31456 | + | 10.1408i | 0.0867418 | + | 0.380041i | ||||
\(713\) | −6.10851 | − | 26.7631i | −0.228765 | − | 1.00229i | ||||
\(714\) | 8.82556 | − | 23.6029i | 0.330288 | − | 0.883315i | ||||
\(715\) | −2.55765 | + | 11.2058i | −0.0956507 | + | 0.419073i | ||||
\(716\) | 5.66507 | 0.211714 | ||||||||
\(717\) | 56.8397 | 2.12272 | ||||||||
\(718\) | 3.10324 | − | 13.5962i | 0.115812 | − | 0.507406i | ||||
\(719\) | −14.6066 | + | 7.03416i | −0.544734 | + | 0.262330i | −0.685950 | − | 0.727649i | \(-0.740613\pi\) |
0.141216 | + | 0.989979i | \(0.454899\pi\) | |||||||
\(720\) | −1.34497 | − | 1.68654i | −0.0501241 | − | 0.0628536i | ||||
\(721\) | 2.27753 | + | 3.80143i | 0.0848197 | + | 0.141573i | ||||
\(722\) | 10.6386 | − | 13.3404i | 0.395929 | − | 0.496479i | ||||
\(723\) | −4.84115 | + | 21.2105i | −0.180044 | + | 0.788826i | ||||
\(724\) | −3.98556 | + | 4.99774i | −0.148122 | + | 0.185740i | ||||
\(725\) | 17.5305 | − | 8.44223i | 0.651065 | − | 0.313536i | ||||
\(726\) | −12.2789 | − | 15.3973i | −0.455714 | − | 0.571448i | ||||
\(727\) | 46.2682 | + | 22.2816i | 1.71599 | + | 0.826379i | 0.990396 | + | 0.138260i | \(0.0441510\pi\) |
0.725598 | + | 0.688119i | \(0.241563\pi\) | |||||||
\(728\) | 16.5815 | + | 2.22558i | 0.614550 | + | 0.0824853i | ||||
\(729\) | −1.20346 | + | 0.579555i | −0.0445725 | + | 0.0214650i | ||||
\(730\) | 9.33336 | + | 4.49471i | 0.345443 | + | 0.166357i | ||||
\(731\) | 8.16439 | + | 35.7705i | 0.301971 | + | 1.32302i | ||||
\(732\) | 20.0469 | + | 9.65408i | 0.740955 | + | 0.356825i | ||||
\(733\) | −10.9061 | + | 13.6758i | −0.402824 | + | 0.505126i | −0.941326 | − | 0.337499i | \(-0.890419\pi\) |
0.538502 | + | 0.842624i | \(0.318991\pi\) | |||||||
\(734\) | 0.689374 | 0.0254453 | ||||||||
\(735\) | −9.54830 | + | 17.8476i | −0.352194 | + | 0.658320i | ||||
\(736\) | −5.61533 | −0.206984 | ||||||||
\(737\) | −8.73202 | + | 10.9496i | −0.321648 | + | 0.403334i | ||||
\(738\) | −8.47041 | − | 4.07914i | −0.311800 | − | 0.150155i | ||||
\(739\) | −1.87038 | − | 8.19468i | −0.0688031 | − | 0.301446i | 0.928805 | − | 0.370569i | \(-0.120837\pi\) |
−0.997608 | + | 0.0691226i | \(0.977980\pi\) | |||||||
\(740\) | 1.74016 | + | 0.838019i | 0.0639697 | + | 0.0308062i | ||||
\(741\) | −17.0059 | + | 8.18961i | −0.624727 | + | 0.300853i | ||||
\(742\) | 18.1678 | + | 30.3239i | 0.666961 | + | 1.11323i | ||||
\(743\) | −21.3935 | − | 10.3026i | −0.784851 | − | 0.377964i | −0.00186062 | − | 0.999998i | \(-0.500592\pi\) |
−0.782990 | + | 0.622034i | \(0.786307\pi\) | |||||||
\(744\) | 6.53728 | + | 8.19750i | 0.239668 | + | 0.300535i | ||||
\(745\) | −6.92521 | + | 3.33501i | −0.253720 | + | 0.122185i | ||||
\(746\) | 15.1049 | − | 18.9409i | 0.553030 | − | 0.693477i | ||||
\(747\) | −2.76498 | + | 12.1141i | −0.101165 | + | 0.443234i | ||||
\(748\) | −3.73287 | + | 4.68086i | −0.136487 | + | 0.171149i | ||||
\(749\) | −3.47342 | − | 38.0740i | −0.126916 | − | 1.39119i | ||||
\(750\) | 14.7518 | + | 18.4982i | 0.538659 | + | 0.675457i | ||||
\(751\) | 9.97387 | − | 4.80316i | 0.363952 | − | 0.175270i | −0.242966 | − | 0.970035i | \(-0.578120\pi\) |
0.606917 | + | 0.794765i | \(0.292406\pi\) | |||||||
\(752\) | −0.858105 | + | 3.75960i | −0.0312919 | + | 0.137099i | ||||
\(753\) | −12.0738 | −0.439994 | ||||||||
\(754\) | 38.6627 | 1.40801 | ||||||||
\(755\) | 5.74381 | − | 25.1653i | 0.209039 | − | 0.915858i | ||||
\(756\) | 7.87364 | + | 1.05680i | 0.286361 | + | 0.0384356i | ||||
\(757\) | 0.100651 | + | 0.440980i | 0.00365821 | + | 0.0160277i | 0.976724 | − | 0.214500i | \(-0.0688121\pi\) |
−0.973066 | + | 0.230527i | \(0.925955\pi\) | |||||||
\(758\) | −0.881377 | − | 3.86156i | −0.0320130 | − | 0.140258i | ||||
\(759\) | −10.1238 | − | 12.6949i | −0.367471 | − | 0.460794i | ||||
\(760\) | 1.16990 | + | 1.46701i | 0.0424367 | + | 0.0532139i | ||||
\(761\) | 11.1571 | + | 48.8827i | 0.404446 | + | 1.77199i | 0.609031 | + | 0.793146i | \(0.291558\pi\) |
−0.204585 | + | 0.978849i | \(0.565585\pi\) | |||||||
\(762\) | −6.41260 | − | 28.0954i | −0.232304 | − | 1.01779i | ||||
\(763\) | −46.6652 | + | 15.2252i | −1.68939 | + | 0.551190i | ||||
\(764\) | −3.22101 | + | 14.1122i | −0.116532 | + | 0.510560i | ||||
\(765\) | 9.57936 | 0.346342 | ||||||||
\(766\) | 1.08856 | 0.0393312 | ||||||||
\(767\) | −9.48616 | + | 41.5616i | −0.342525 | + | 1.50070i | ||||
\(768\) | 1.93237 | − | 0.930578i | 0.0697282 | − | 0.0335793i | ||||
\(769\) | 19.6850 | + | 24.6842i | 0.709860 | + | 0.890136i | 0.997717 | − | 0.0675370i | \(-0.0215141\pi\) |
−0.287857 | + | 0.957674i | \(0.592943\pi\) | |||||||
\(770\) | 3.47198 | − | 3.32765i | 0.125122 | − | 0.119920i | ||||
\(771\) | −5.59900 | + | 7.02092i | −0.201643 | + | 0.252852i | ||||
\(772\) | 0.872715 | − | 3.82362i | 0.0314097 | − | 0.137615i | ||||
\(773\) | −11.8866 | + | 14.9053i | −0.427530 | + | 0.536105i | −0.948209 | − | 0.317647i | \(-0.897107\pi\) |
0.520679 | + | 0.853752i | \(0.325679\pi\) | |||||||
\(774\) | 11.9106 | − | 5.73583i | 0.428117 | − | 0.206170i | ||||
\(775\) | −9.69975 | − | 12.1631i | −0.348425 | − | 0.436912i | ||||
\(776\) | 3.33674 | + | 1.60689i | 0.119782 | + | 0.0576839i | ||||
\(777\) | 7.72829 | − | 2.52147i | 0.277251 | − | 0.0904573i | ||||
\(778\) | 15.2951 | − | 7.36573i | 0.548356 | − | 0.264074i | ||||
\(779\) | 7.36784 | + | 3.54817i | 0.263980 | + | 0.127126i | ||||
\(780\) | 4.06875 | + | 17.8264i | 0.145685 | + | 0.638286i | ||||
\(781\) | −7.07082 | − | 3.40513i | −0.253014 | − | 0.121845i | ||||
\(782\) | 15.5474 | − | 19.4958i | 0.555975 | − | 0.697170i | ||||
\(783\) | 18.3588 | 0.656090 | ||||||||
\(784\) | −5.28269 | − | 4.59273i | −0.188667 | − | 0.164026i | ||||
\(785\) | 12.6969 | 0.453171 | ||||||||
\(786\) | −20.4841 | + | 25.6862i | −0.730642 | + | 0.916197i | ||||
\(787\) | −18.3036 | − | 8.81453i | −0.652452 | − | 0.314204i | 0.0782170 | − | 0.996936i | \(-0.475077\pi\) |
−0.730669 | + | 0.682732i | \(0.760792\pi\) | |||||||
\(788\) | 2.05385 | + | 8.99853i | 0.0731655 | + | 0.320559i | ||||
\(789\) | −40.5833 | − | 19.5439i | −1.44480 | − | 0.695781i | ||||
\(790\) | 7.02243 | − | 3.38182i | 0.249847 | − | 0.120320i | ||||
\(791\) | 0.275708 | + | 3.02218i | 0.00980305 | + | 0.107457i | ||||
\(792\) | 1.94354 | + | 0.935958i | 0.0690606 | + | 0.0332578i | ||||
\(793\) | −40.9014 | − | 51.2888i | −1.45245 | − | 1.82132i | ||||
\(794\) | 8.60578 | − | 4.14433i | 0.305408 | − | 0.147077i | ||||
\(795\) | −24.0883 | + | 30.2058i | −0.854325 | + | 1.07129i | ||||
\(796\) | 3.63975 | − | 15.9468i | 0.129008 | − | 0.565219i | ||||
\(797\) | −18.1712 | + | 22.7860i | −0.643658 | + | 0.807122i | −0.991455 | − | 0.130448i | \(-0.958358\pi\) |
0.347797 | + | 0.937570i | \(0.386930\pi\) | |||||||
\(798\) | 7.82728 | + | 1.05058i | 0.277083 | + | 0.0371902i | ||||
\(799\) | −10.6771 | − | 13.3886i | −0.377728 | − | 0.473655i | ||||
\(800\) | −2.86716 | + | 1.38075i | −0.101370 | + | 0.0488170i | ||||
\(801\) | −3.70333 | + | 16.2253i | −0.130851 | + | 0.573294i | ||||
\(802\) | 17.2673 | 0.609728 | ||||||||
\(803\) | −10.3593 | −0.365570 | ||||||||
\(804\) | −4.95766 | + | 21.7209i | −0.174843 | + | 0.766037i | ||||
\(805\) | −14.4608 | + | 13.8597i | −0.509678 | + | 0.488490i | ||||
\(806\) | −6.87877 | − | 30.1378i | −0.242294 | − | 1.06156i | ||||
\(807\) | 5.37276 | + | 23.5396i | 0.189130 | + | 0.828633i | ||||
\(808\) | −8.97540 | − | 11.2548i | −0.315754 | − | 0.395942i | ||||
\(809\) | −24.7983 | − | 31.0960i | −0.871860 | − | 1.09328i | −0.994899 | − | 0.100877i | \(-0.967835\pi\) |
0.123038 | − | 0.992402i | \(-0.460736\pi\) | |||||||
\(810\) | 3.37207 | + | 14.7740i | 0.118482 | + | 0.519106i | ||||
\(811\) | −4.53521 | − | 19.8701i | −0.159253 | − | 0.697732i | −0.989998 | − | 0.141080i | \(-0.954943\pi\) |
0.830745 | − | 0.556652i | \(-0.187914\pi\) | |||||||
\(812\) | −13.5115 | − | 8.89527i | −0.474160 | − | 0.312163i | ||||
\(813\) | 3.13173 | − | 13.7210i | 0.109835 | − | 0.481217i | ||||
\(814\) | −1.93144 | −0.0676968 | ||||||||
\(815\) | 8.65807 | 0.303279 | ||||||||
\(816\) | −2.11936 | + | 9.28550i | −0.0741923 | + | 0.325058i | ||||
\(817\) | −10.3602 | + | 4.98922i | −0.362458 | + | 0.174551i | ||||
\(818\) | 2.75600 | + | 3.45591i | 0.0963613 | + | 0.120833i | ||||
\(819\) | 22.3582 | + | 14.7195i | 0.781258 | + | 0.514340i | ||||
\(820\) | 4.93924 | − | 6.19361i | 0.172486 | − | 0.216290i | ||||
\(821\) | 2.66410 | − | 11.6722i | 0.0929777 | − | 0.407362i | −0.906925 | − | 0.421292i | \(-0.861577\pi\) |
0.999903 | + | 0.0139295i | \(0.00443404\pi\) | |||||||
\(822\) | 2.33919 | − | 2.93325i | 0.0815887 | − | 0.102309i | ||||
\(823\) | −25.7315 | + | 12.3916i | −0.896942 | + | 0.431945i | −0.824784 | − | 0.565449i | \(-0.808703\pi\) |
−0.0721586 | + | 0.997393i | \(0.522989\pi\) | |||||||
\(824\) | −1.04431 | − | 1.30952i | −0.0363803 | − | 0.0456194i | ||||
\(825\) | −8.29071 | − | 3.99260i | −0.288645 | − | 0.139004i | ||||
\(826\) | 12.8774 | − | 12.3420i | 0.448060 | − | 0.429434i | ||||
\(827\) | −45.3777 | + | 21.8527i | −1.57794 | + | 0.759895i | −0.998480 | − | 0.0551083i | \(-0.982450\pi\) |
−0.579457 | + | 0.815003i | \(0.696735\pi\) | |||||||
\(828\) | −8.09485 | − | 3.89827i | −0.281315 | − | 0.135474i | ||||
\(829\) | −3.50613 | − | 15.3614i | −0.121773 | − | 0.533522i | −0.998609 | − | 0.0527322i | \(-0.983207\pi\) |
0.876836 | − | 0.480790i | \(-0.159650\pi\) | |||||||
\(830\) | −9.43336 | − | 4.54287i | −0.327437 | − | 0.157685i | ||||
\(831\) | 32.7736 | − | 41.0968i | 1.13690 | − | 1.42563i | ||||
\(832\) | −6.32341 | −0.219225 | ||||||||
\(833\) | 30.5719 | − | 5.62484i | 1.05925 | − | 0.194889i | ||||
\(834\) | −3.68841 | −0.127719 | ||||||||
\(835\) | 9.54622 | − | 11.9706i | 0.330360 | − | 0.414259i | ||||
\(836\) | −1.69055 | − | 0.814127i | −0.0584690 | − | 0.0281572i | ||||
\(837\) | −3.26635 | − | 14.3108i | −0.112902 | − | 0.494654i | ||||
\(838\) | −4.31900 | − | 2.07992i | −0.149197 | − | 0.0718497i | ||||
\(839\) | 11.6905 | − | 5.62986i | 0.403602 | − | 0.194365i | −0.221059 | − | 0.975260i | \(-0.570951\pi\) |
0.624661 | + | 0.780896i | \(0.285237\pi\) | |||||||
\(840\) | 2.67947 | − | 7.16590i | 0.0924504 | − | 0.247247i | ||||
\(841\) | −7.55341 | − | 3.63753i | −0.260463 | − | 0.125432i | ||||
\(842\) | −18.1976 | − | 22.8191i | −0.627131 | − | 0.786397i | ||||
\(843\) | 6.98269 | − | 3.36269i | 0.240497 | − | 0.115817i | ||||
\(844\) | −14.2940 | + | 17.9241i | −0.492020 | + | 0.616974i | ||||
\(845\) | 8.09582 | − | 35.4701i | 0.278505 | − | 1.22021i | ||||
\(846\) | −3.84700 | + | 4.82399i | −0.132263 | + | 0.165852i | ||||
\(847\) | 8.50867 | − | 22.7554i | 0.292361 | − | 0.781884i | ||||
\(848\) | −8.33043 | − | 10.4460i | −0.286068 | − | 0.358718i | ||||
\(849\) | −27.5774 | + | 13.2806i | −0.946453 | + | 0.455788i | ||||
\(850\) | 3.14461 | − | 13.7774i | 0.107859 | − | 0.472562i | ||||
\(851\) | 8.04445 | 0.275760 | ||||||||
\(852\) | −12.4847 | −0.427720 | ||||||||
\(853\) | 6.72523 | − | 29.4652i | 0.230268 | − | 1.00887i | −0.719151 | − | 0.694854i | \(-0.755469\pi\) |
0.949418 | − | 0.314014i | \(-0.101674\pi\) | |||||||
\(854\) | 2.49365 | + | 27.3343i | 0.0853310 | + | 0.935359i | ||||
\(855\) | 0.668056 | + | 2.92695i | 0.0228471 | + | 0.100099i | ||||
\(856\) | 3.21551 | + | 14.0881i | 0.109904 | + | 0.481520i | ||||
\(857\) | 27.6363 | + | 34.6549i | 0.944040 | + | 1.18379i | 0.982825 | + | 0.184541i | \(0.0590798\pi\) |
−0.0387851 | + | 0.999248i | \(0.512349\pi\) | |||||||
\(858\) | −11.4004 | − | 14.2956i | −0.389203 | − | 0.488045i | ||||
\(859\) | −4.52677 | − | 19.8331i | −0.154452 | − | 0.676696i | −0.991559 | − | 0.129658i | \(-0.958612\pi\) |
0.837107 | − | 0.547039i | \(-0.184245\pi\) | |||||||
\(860\) | 2.47874 | + | 10.8601i | 0.0845242 | + | 0.370325i | ||||
\(861\) | −3.02921 | − | 33.2047i | −0.103235 | − | 1.13161i | ||||
\(862\) | −4.07421 | + | 17.8503i | −0.138768 | + | 0.607982i | ||||
\(863\) | −43.2013 | −1.47059 | −0.735295 | − | 0.677747i | \(-0.762957\pi\) | ||||
−0.735295 | + | 0.677747i | \(0.762957\pi\) | |||||||
\(864\) | −3.00264 | −0.102152 | ||||||||
\(865\) | 4.67862 | − | 20.4984i | 0.159078 | − | 0.696966i | ||||
\(866\) | −23.2031 | + | 11.1740i | −0.788473 | + | 0.379709i | ||||
\(867\) | −3.63727 | − | 4.56100i | −0.123528 | − | 0.154900i | ||||
\(868\) | −4.53000 | + | 12.1149i | −0.153758 | + | 0.411207i | ||||
\(869\) | −4.85967 | + | 6.09383i | −0.164853 | + | 0.206719i | ||||
\(870\) | 3.93415 | − | 17.2366i | 0.133380 | − | 0.584377i | ||||
\(871\) | 40.9550 | − | 51.3559i | 1.38771 | − | 1.74013i | ||||
\(872\) | 16.7155 | − | 8.04976i | 0.566058 | − | 0.272599i | ||||
\(873\) | 3.69458 | + | 4.63286i | 0.125043 | + | 0.156798i | ||||
\(874\) | 7.04117 | + | 3.39085i | 0.238171 | + | 0.114697i | ||||
\(875\) | −10.2222 | + | 27.3380i | −0.345574 | + | 0.924195i | ||||
\(876\) | −14.8477 | + | 7.15026i | −0.501656 | + | 0.241585i | ||||
\(877\) | 1.86693 | + | 0.899068i | 0.0630419 | + | 0.0303594i | 0.465139 | − | 0.885238i | \(-0.346004\pi\) |
−0.402097 | + | 0.915597i | \(0.631719\pi\) | |||||||
\(878\) | −4.16827 | − | 18.2624i | −0.140672 | − | 0.616326i | ||||
\(879\) | 24.1684 | + | 11.6389i | 0.815179 | + | 0.392570i | ||||
\(880\) | −1.13331 | + | 1.42113i | −0.0382039 | + | 0.0479061i | ||||
\(881\) | 16.2998 | 0.549154 | 0.274577 | − | 0.961565i | \(-0.411462\pi\) | ||||
0.274577 | + | 0.961565i | \(0.411462\pi\) | |||||||
\(882\) | −4.42696 | − | 10.2881i | −0.149063 | − | 0.346417i | ||||
\(883\) | 27.6453 | 0.930337 | 0.465168 | − | 0.885222i | \(-0.345994\pi\) | ||||
0.465168 | + | 0.885222i | \(0.345994\pi\) | |||||||
\(884\) | 17.5079 | − | 21.9542i | 0.588854 | − | 0.738400i | ||||
\(885\) | 17.5637 | + | 8.45825i | 0.590399 | + | 0.284321i | ||||
\(886\) | −0.503389 | − | 2.20549i | −0.0169117 | − | 0.0740949i | ||||
\(887\) | −13.8567 | − | 6.67302i | −0.465262 | − | 0.224058i | 0.186540 | − | 0.982447i | \(-0.440272\pi\) |
−0.651802 | + | 0.758389i | \(0.725987\pi\) | |||||||
\(888\) | −2.76828 | + | 1.33313i | −0.0928974 | + | 0.0447370i | ||||
\(889\) | 25.6650 | − | 24.5981i | 0.860778 | − | 0.824994i | ||||
\(890\) | −12.6348 | − | 6.08458i | −0.423518 | − | 0.203956i | ||||
\(891\) | −9.44833 | − | 11.8478i | −0.316531 | − | 0.396917i | ||||
\(892\) | 15.4672 | − | 7.44863i | 0.517881 | − | 0.249398i | ||||
\(893\) | 3.34625 | − | 4.19606i | 0.111978 | − | 0.140416i | ||||
\(894\) | 2.72091 | − | 11.9211i | 0.0910009 | − | 0.398701i | ||||
\(895\) | −4.76206 | + | 5.97143i | −0.159178 | + | 0.199603i | ||||
\(896\) | 2.20984 | + | 1.45485i | 0.0738257 | + | 0.0486031i | ||||
\(897\) | 47.4827 | + | 59.5414i | 1.58540 | + | 1.98803i | ||||
\(898\) | 0.220557 | − | 0.106215i | 0.00736009 | − | 0.00354443i | ||||
\(899\) | −6.65120 | + | 29.1408i | −0.221830 | + | 0.971901i | ||||
\(900\) | −5.09174 | −0.169725 | ||||||||
\(901\) | 59.3324 | 1.97665 | ||||||||
\(902\) | −1.76280 | + | 7.72331i | −0.0586947 | + | 0.257158i | ||||
\(903\) | 39.1599 | + | 25.7809i | 1.30316 | + | 0.857933i | ||||
\(904\) | −0.255236 | − | 1.11826i | −0.00848903 | − | 0.0371929i | ||||
\(905\) | −1.91775 | − | 8.40219i | −0.0637480 | − | 0.279298i | ||||
\(906\) | 25.6023 | + | 32.1042i | 0.850578 | + | 1.06659i | ||||
\(907\) | −18.9865 | − | 23.8083i | −0.630436 | − | 0.790542i | 0.359335 | − | 0.933209i | \(-0.383004\pi\) |
−0.989771 | + | 0.142667i | \(0.954432\pi\) | |||||||
\(908\) | 1.03190 | + | 4.52104i | 0.0342448 | + | 0.150036i | ||||
\(909\) | −5.12530 | − | 22.4554i | −0.169995 | − | 0.744798i | ||||
\(910\) | −16.2843 | + | 15.6073i | −0.539819 | + | 0.517379i | ||||
\(911\) | 0.600845 | − | 2.63247i | 0.0199069 | − | 0.0872178i | −0.963999 | − | 0.265907i | \(-0.914329\pi\) |
0.983906 | + | 0.178689i | \(0.0571857\pi\) | |||||||
\(912\) | −2.98496 | −0.0988420 | ||||||||
\(913\) | 10.4702 | 0.346514 | ||||||||
\(914\) | −6.72034 | + | 29.4437i | −0.222289 | + | 0.973912i | ||||
\(915\) | −27.0276 | + | 13.0158i | −0.893504 | + | 0.430289i | ||||
\(916\) | −3.16463 | − | 3.96832i | −0.104562 | − | 0.131117i | ||||
\(917\) | −40.1679 | − | 5.39136i | −1.32646 | − | 0.178038i | ||||
\(918\) | 8.31355 | − | 10.4249i | 0.274388 | − | 0.344072i | ||||
\(919\) | 9.74185 | − | 42.6818i | 0.321354 | − | 1.40794i | −0.513792 | − | 0.857915i | \(-0.671760\pi\) |
0.835146 | − | 0.550029i | \(-0.185383\pi\) | |||||||
\(920\) | 4.72025 | − | 5.91900i | 0.155622 | − | 0.195144i | ||||
\(921\) | −42.1071 | + | 20.2777i | −1.38747 | + | 0.668173i | ||||
\(922\) | −15.0386 | − | 18.8578i | −0.495271 | − | 0.621050i | ||||
\(923\) | 33.1636 | + | 15.9707i | 1.09159 | + | 0.525683i | ||||
\(924\) | 0.695051 | + | 7.61883i | 0.0228655 | + | 0.250641i | ||||
\(925\) | 4.10746 | − | 1.97805i | 0.135052 | − | 0.0650378i | ||||
\(926\) | −17.9564 | − | 8.64733i | −0.590083 | − | 0.284169i | ||||
\(927\) | −0.596341 | − | 2.61274i | −0.0195864 | − | 0.0858136i | ||||
\(928\) | 5.50872 | + | 2.65286i | 0.180833 | + | 0.0870844i | ||||
\(929\) | −13.3108 | + | 16.6913i | −0.436714 | + | 0.547622i | −0.950674 | − | 0.310192i | \(-0.899607\pi\) |
0.513960 | + | 0.857814i | \(0.328178\pi\) | |||||||
\(930\) | −14.1360 | −0.463539 | ||||||||
\(931\) | 3.85071 | + | 8.94889i | 0.126202 | + | 0.293288i | ||||
\(932\) | −10.7668 | −0.352679 | ||||||||
\(933\) | −8.59292 | + | 10.7752i | −0.281319 | + | 0.352763i | ||||
\(934\) | 33.3758 | + | 16.0729i | 1.09209 | + | 0.525923i | ||||
\(935\) | −1.79615 | − | 7.86946i | −0.0587405 | − | 0.257359i | ||||
\(936\) | −9.11558 | − | 4.38983i | −0.297952 | − | 0.143486i | ||||
\(937\) | −29.6876 | + | 14.2968i | −0.969851 | + | 0.467056i | −0.850603 | − | 0.525809i | \(-0.823763\pi\) |
−0.119248 | + | 0.992864i | \(0.538048\pi\) | |||||||
\(938\) | −26.1282 | + | 8.52472i | −0.853116 | + | 0.278342i | ||||
\(939\) | −34.0602 | − | 16.4025i | −1.11151 | − | 0.535277i | ||||
\(940\) | −3.24159 | − | 4.06483i | −0.105729 | − | 0.132580i | ||||
\(941\) | 11.9104 | − | 5.73573i | 0.388267 | − | 0.186979i | −0.229558 | − | 0.973295i | \(-0.573728\pi\) |
0.617825 | + | 0.786315i | \(0.288014\pi\) | |||||||
\(942\) | −12.5935 | + | 15.7917i | −0.410318 | + | 0.514522i | ||||
\(943\) | 7.34206 | − | 32.1677i | 0.239090 | − | 1.04752i | ||||
\(944\) | −4.20337 | + | 5.27086i | −0.136808 | + | 0.171552i | ||||
\(945\) | −7.73253 | + | 7.41108i | −0.251539 | + | 0.241082i | ||||
\(946\) | −6.94526 | − | 8.70909i | −0.225810 | − | 0.283157i | ||||
\(947\) | 1.79388 | − | 0.863886i | 0.0582932 | − | 0.0280725i | −0.404510 | − | 0.914534i | \(-0.632558\pi\) |
0.462803 | + | 0.886461i | \(0.346844\pi\) | |||||||
\(948\) | −2.75911 | + | 12.0884i | −0.0896116 | + | 0.392614i | ||||
\(949\) | 48.5870 | 1.57720 | ||||||||
\(950\) | 4.42896 | 0.143695 | ||||||||
\(951\) | −1.03187 | + | 4.52092i | −0.0334607 | + | 0.146601i | ||||
\(952\) | −11.1696 | + | 3.64424i | −0.362008 | + | 0.118111i | ||||
\(953\) | 5.19823 | + | 22.7749i | 0.168387 | + | 0.737752i | 0.986643 | + | 0.162898i | \(0.0520841\pi\) |
−0.818256 | + | 0.574854i | \(0.805059\pi\) | |||||||
\(954\) | −4.75699 | − | 20.8418i | −0.154013 | − | 0.674777i | ||||
\(955\) | −12.1677 | − | 15.2579i | −0.393739 | − | 0.493733i | ||||
\(956\) | −16.5235 | − | 20.7198i | −0.534408 | − | 0.670126i | ||||
\(957\) | 3.93415 | + | 17.2366i | 0.127173 | + | 0.557181i | ||||
\(958\) | −3.59974 | − | 15.7715i | −0.116302 | − | 0.509554i | ||||
\(959\) | 4.58700 | + | 0.615670i | 0.148122 | + | 0.0198810i | ||||
\(960\) | −0.643443 | + | 2.81911i | −0.0207670 | + | 0.0909863i | ||||
\(961\) | −7.10115 | −0.229069 | ||||||||
\(962\) | 9.05883 | 0.292068 | ||||||||
\(963\) | −5.14486 | + | 22.5411i | −0.165791 | + | 0.726377i | ||||
\(964\) | 9.13919 | − | 4.40120i | 0.294354 | − | 0.141753i | ||||
\(965\) | 3.29679 | + | 4.13404i | 0.106127 | + | 0.133079i | ||||
\(966\) | −2.89490 | − | 31.7325i | −0.0931417 | − | 1.02098i | ||||
\(967\) | −12.2152 | + | 15.3173i | −0.392813 | + | 0.492572i | −0.938433 | − | 0.345461i | \(-0.887723\pi\) |
0.545620 | + | 0.838033i | \(0.316294\pi\) | |||||||
\(968\) | −2.04326 | + | 8.95209i | −0.0656728 | + | 0.287731i | ||||
\(969\) | 8.26459 | − | 10.3635i | 0.265497 | − | 0.332923i | ||||
\(970\) | −4.49864 | + | 2.16643i | −0.144443 | + | 0.0695600i | ||||
\(971\) | −9.62300 | − | 12.0669i | −0.308817 | − | 0.387244i | 0.603068 | − | 0.797690i | \(-0.293945\pi\) |
−0.911885 | + | 0.410445i | \(0.865373\pi\) | |||||||
\(972\) | −13.6039 | − | 6.55130i | −0.436346 | − | 0.210133i | ||||
\(973\) | −2.33842 | − | 3.90307i | −0.0749664 | − | 0.125127i | ||||
\(974\) | −0.969150 | + | 0.466718i | −0.0310536 | + | 0.0149546i | ||||
\(975\) | 38.8851 | + | 18.7261i | 1.24532 | + | 0.599714i | ||||
\(976\) | −2.30850 | − | 10.1142i | −0.0738931 | − | 0.323747i | ||||
\(977\) | −55.0877 | − | 26.5288i | −1.76241 | − | 0.848732i | −0.971585 | − | 0.236691i | \(-0.923937\pi\) |
−0.790826 | − | 0.612041i | \(-0.790349\pi\) | |||||||
\(978\) | −8.58757 | + | 10.7685i | −0.274600 | + | 0.344338i | ||||
\(979\) | 14.0235 | 0.448194 | ||||||||
\(980\) | 9.28172 | − | 1.70772i | 0.296494 | − | 0.0545511i | ||||
\(981\) | 29.6847 | 0.947760 | ||||||||
\(982\) | 1.44867 | − | 1.81657i | 0.0462288 | − | 0.0579691i | ||||
\(983\) | 19.4938 | + | 9.38774i | 0.621757 | + | 0.299422i | 0.718115 | − | 0.695924i | \(-0.245005\pi\) |
−0.0963580 | + | 0.995347i | \(0.530719\pi\) | |||||||
\(984\) | 2.80428 | + | 12.2864i | 0.0893973 | + | 0.391675i | ||||
\(985\) | −11.2116 | − | 5.39923i | −0.357232 | − | 0.172034i | ||||
\(986\) | −24.4627 | + | 11.7806i | −0.779050 | + | 0.375171i | ||||
\(987\) | −21.6881 | − | 2.91099i | −0.690339 | − | 0.0926577i | ||||
\(988\) | 7.92903 | + | 3.81842i | 0.252256 | + | 0.121480i | ||||
\(989\) | 28.9271 | + | 36.2734i | 0.919828 | + | 1.15343i | ||||
\(990\) | −2.62031 | + | 1.26187i | −0.0832789 | + | 0.0401050i | ||||
\(991\) | −21.3936 | + | 26.8267i | −0.679590 | + | 0.852179i | −0.995316 | − | 0.0966713i | \(-0.969180\pi\) |
0.315726 | + | 0.948850i | \(0.397752\pi\) | |||||||
\(992\) | 1.08783 | − | 4.76608i | 0.0345385 | − | 0.151323i | ||||
\(993\) | −25.1450 | + | 31.5308i | −0.797952 | + | 1.00060i | ||||
\(994\) | −7.91524 | − | 13.2114i | −0.251056 | − | 0.419039i | ||||
\(995\) | 13.7496 | + | 17.2415i | 0.435892 | + | 0.546591i | ||||
\(996\) | 15.0067 | − | 7.22686i | 0.475507 | − | 0.228992i | ||||
\(997\) | −6.99611 | + | 30.6520i | −0.221569 | + | 0.970758i | 0.734728 | + | 0.678362i | \(0.237310\pi\) |
−0.956297 | + | 0.292396i | \(0.905547\pi\) | |||||||
\(998\) | −1.34319 | −0.0425179 | ||||||||
\(999\) | 4.30154 | 0.136095 |
(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 | 98.2.e.b.43.3 | ✓ | 18 | |
3.2 | odd | 2 | 882.2.u.g.631.2 | 18 | |||
4.3 | odd | 2 | 784.2.u.d.337.1 | 18 | |||
7.2 | even | 3 | 686.2.g.h.165.1 | 36 | |||
7.3 | odd | 6 | 686.2.g.g.569.3 | 36 | |||
7.4 | even | 3 | 686.2.g.h.569.1 | 36 | |||
7.5 | odd | 6 | 686.2.g.g.165.3 | 36 | |||
7.6 | odd | 2 | 686.2.e.b.295.1 | 18 | |||
49.3 | odd | 42 | 686.2.g.g.79.3 | 36 | |||
49.5 | odd | 42 | 686.2.g.g.557.3 | 36 | |||
49.8 | even | 7 | inner | 98.2.e.b.57.3 | yes | 18 | |
49.20 | odd | 14 | 4802.2.a.c.1.7 | 9 | |||
49.29 | even | 7 | 4802.2.a.d.1.3 | 9 | |||
49.41 | odd | 14 | 686.2.e.b.393.1 | 18 | |||
49.44 | even | 21 | 686.2.g.h.557.1 | 36 | |||
49.46 | even | 21 | 686.2.g.h.79.1 | 36 | |||
147.8 | odd | 14 | 882.2.u.g.253.2 | 18 | |||
196.155 | odd | 14 | 784.2.u.d.449.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.e.b.43.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
98.2.e.b.57.3 | yes | 18 | 49.8 | even | 7 | inner | |
686.2.e.b.295.1 | 18 | 7.6 | odd | 2 | |||
686.2.e.b.393.1 | 18 | 49.41 | odd | 14 | |||
686.2.g.g.79.3 | 36 | 49.3 | odd | 42 | |||
686.2.g.g.165.3 | 36 | 7.5 | odd | 6 | |||
686.2.g.g.557.3 | 36 | 49.5 | odd | 42 | |||
686.2.g.g.569.3 | 36 | 7.3 | odd | 6 | |||
686.2.g.h.79.1 | 36 | 49.46 | even | 21 | |||
686.2.g.h.165.1 | 36 | 7.2 | even | 3 | |||
686.2.g.h.557.1 | 36 | 49.44 | even | 21 | |||
686.2.g.h.569.1 | 36 | 7.4 | even | 3 | |||
784.2.u.d.337.1 | 18 | 4.3 | odd | 2 | |||
784.2.u.d.449.1 | 18 | 196.155 | odd | 14 | |||
882.2.u.g.253.2 | 18 | 147.8 | odd | 14 | |||
882.2.u.g.631.2 | 18 | 3.2 | odd | 2 | |||
4802.2.a.c.1.7 | 9 | 49.20 | odd | 14 | |||
4802.2.a.d.1.3 | 9 | 49.29 | even | 7 |