Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(151,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.151");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.c (of order \(2\), degree \(1\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.4069419264.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 7x^{6} + 50x^{4} - 84x^{3} + 55x^{2} - 12x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Root | \(1.65359 - 0.954702i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 300.151 |
Dual form | 300.3.c.e.151.2 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97650 | − | 0.305673i | −0.988251 | − | 0.152836i | ||||
\(3\) | − | 1.73205i | − | 0.577350i | ||||||
\(4\) | 3.81313 | + | 1.20833i | 0.953282 | + | 0.302082i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.529441 | + | 3.42340i | −0.0882402 | + | 0.570567i | ||||
\(7\) | 0.329898i | 0.0471283i | 0.999722 | + | 0.0235641i | \(0.00750139\pi\) | ||||
−0.999722 | + | 0.0235641i | \(0.992499\pi\) | |||||||
\(8\) | −7.16731 | − | 3.55383i | −0.895913 | − | 0.444229i | ||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 20.4920i | 1.86291i | 0.363861 | + | 0.931453i | \(0.381458\pi\) | ||||
−0.363861 | + | 0.931453i | \(0.618542\pi\) | |||||||
\(12\) | 2.09288 | − | 6.60453i | 0.174407 | − | 0.550378i | ||||
\(13\) | −0.416712 | −0.0320548 | −0.0160274 | − | 0.999872i | \(-0.505102\pi\) | ||||
−0.0160274 | + | 0.999872i | \(0.505102\pi\) | |||||||
\(14\) | 0.100841 | − | 0.652044i | 0.00720292 | − | 0.0465746i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 13.0799 | + | 9.21501i | 0.817493 | + | 0.575938i | ||||
\(17\) | −18.5884 | −1.09343 | −0.546717 | − | 0.837317i | \(-0.684123\pi\) | ||||
−0.546717 | + | 0.837317i | \(0.684123\pi\) | |||||||
\(18\) | 5.92951 | + | 0.917019i | 0.329417 | + | 0.0509455i | ||||
\(19\) | − | 12.4503i | − | 0.655281i | −0.944803 | − | 0.327640i | \(-0.893747\pi\) | ||
0.944803 | − | 0.327640i | \(-0.106253\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.571400 | 0.0272095 | ||||||||
\(22\) | 6.26384 | − | 40.5024i | 0.284720 | − | 1.84102i | ||||
\(23\) | 23.2304i | 1.01002i | 0.863114 | + | 0.505008i | \(0.168511\pi\) | ||||
−0.863114 | + | 0.505008i | \(0.831489\pi\) | |||||||
\(24\) | −6.15542 | + | 12.4141i | −0.256476 | + | 0.517256i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.823633 | + | 0.127378i | 0.0316782 | + | 0.00489914i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | −0.398624 | + | 1.25794i | −0.0142366 | + | 0.0449265i | ||||
\(29\) | −23.9166 | −0.824712 | −0.412356 | − | 0.911023i | \(-0.635294\pi\) | ||||
−0.412356 | + | 0.911023i | \(0.635294\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 42.0148i | 1.35532i | 0.735377 | + | 0.677658i | \(0.237005\pi\) | ||||
−0.735377 | + | 0.677658i | \(0.762995\pi\) | |||||||
\(32\) | −23.0357 | − | 22.2117i | −0.719865 | − | 0.694115i | ||||
\(33\) | 35.4931 | 1.07555 | ||||||||
\(34\) | 36.7400 | + | 5.68197i | 1.08059 | + | 0.167117i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −11.4394 | − | 3.62498i | −0.317761 | − | 0.100694i | ||||
\(37\) | 50.9523 | 1.37709 | 0.688545 | − | 0.725194i | \(-0.258250\pi\) | ||||
0.688545 | + | 0.725194i | \(0.258250\pi\) | |||||||
\(38\) | −3.80573 | + | 24.6081i | −0.100151 | + | 0.647582i | ||||
\(39\) | 0.721767i | 0.0185068i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 46.7073 | 1.13920 | 0.569601 | − | 0.821921i | \(-0.307098\pi\) | ||||
0.569601 | + | 0.821921i | \(0.307098\pi\) | |||||||
\(42\) | −1.12937 | − | 0.174661i | −0.0268898 | − | 0.00415861i | ||||
\(43\) | 55.5866i | 1.29271i | 0.763036 | + | 0.646356i | \(0.223708\pi\) | ||||
−0.763036 | + | 0.646356i | \(0.776292\pi\) | |||||||
\(44\) | −24.7610 | + | 78.1385i | −0.562750 | + | 1.77588i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.10090 | − | 45.9149i | 0.154367 | − | 0.998151i | ||||
\(47\) | 81.7616i | 1.73961i | 0.493397 | + | 0.869804i | \(0.335755\pi\) | ||||
−0.493397 | + | 0.869804i | \(0.664245\pi\) | |||||||
\(48\) | 15.9609 | − | 22.6550i | 0.332518 | − | 0.471980i | ||||
\(49\) | 48.8912 | 0.997779 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 32.1960i | 0.631295i | ||||||||
\(52\) | −1.58898 | − | 0.503524i | −0.0305572 | − | 0.00968316i | ||||
\(53\) | −29.9744 | −0.565554 | −0.282777 | − | 0.959186i | \(-0.591256\pi\) | ||||
−0.282777 | + | 0.959186i | \(0.591256\pi\) | |||||||
\(54\) | 1.58832 | − | 10.2702i | 0.0294134 | − | 0.190189i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.17240 | − | 2.36448i | 0.0209357 | − | 0.0422228i | ||||
\(57\) | −21.5646 | −0.378326 | ||||||||
\(58\) | 47.2713 | + | 7.31067i | 0.815023 | + | 0.126046i | ||||
\(59\) | − | 24.3311i | − | 0.412391i | −0.978511 | − | 0.206196i | \(-0.933892\pi\) | ||
0.978511 | − | 0.206196i | \(-0.0661083\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −74.8416 | −1.22691 | −0.613456 | − | 0.789729i | \(-0.710221\pi\) | ||||
−0.613456 | + | 0.789729i | \(0.710221\pi\) | |||||||
\(62\) | 12.8428 | − | 83.0424i | 0.207142 | − | 1.33939i | ||||
\(63\) | − | 0.989693i | − | 0.0157094i | ||||||
\(64\) | 38.7406 | + | 50.9428i | 0.605321 | + | 0.795981i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −70.1523 | − | 10.8493i | −1.06291 | − | 0.164383i | ||||
\(67\) | 72.8008i | 1.08658i | 0.839545 | + | 0.543290i | \(0.182822\pi\) | ||||
−0.839545 | + | 0.543290i | \(0.817178\pi\) | |||||||
\(68\) | −70.8799 | − | 22.4608i | −1.04235 | − | 0.330307i | ||||
\(69\) | 40.2362 | 0.583133 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 39.2803i | − | 0.553244i | −0.960979 | − | 0.276622i | \(-0.910785\pi\) | ||
0.960979 | − | 0.276622i | \(-0.0892150\pi\) | |||||||
\(72\) | 21.5019 | + | 10.6615i | 0.298638 | + | 0.148076i | ||||
\(73\) | −46.5814 | −0.638101 | −0.319051 | − | 0.947738i | \(-0.603364\pi\) | ||||
−0.319051 | + | 0.947738i | \(0.603364\pi\) | |||||||
\(74\) | −100.707 | − | 15.5747i | −1.36091 | − | 0.210469i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 15.0441 | − | 47.4747i | 0.197948 | − | 0.624667i | ||||
\(77\) | −6.76026 | −0.0877955 | ||||||||
\(78\) | 0.220625 | − | 1.42657i | 0.00282852 | − | 0.0182894i | ||||
\(79\) | − | 101.920i | − | 1.29012i | −0.764131 | − | 0.645062i | \(-0.776832\pi\) | ||
0.764131 | − | 0.645062i | \(-0.223168\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −92.3170 | − | 14.2771i | −1.12582 | − | 0.174112i | ||||
\(83\) | 5.88913i | 0.0709534i | 0.999371 | + | 0.0354767i | \(0.0112950\pi\) | ||||
−0.999371 | + | 0.0354767i | \(0.988705\pi\) | |||||||
\(84\) | 2.17882 | + | 0.690438i | 0.0259383 | + | 0.00821950i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 16.9913 | − | 109.867i | 0.197574 | − | 1.27752i | ||||
\(87\) | 41.4248i | 0.476148i | ||||||||
\(88\) | 72.8250 | − | 146.872i | 0.827557 | − | 1.66900i | ||||
\(89\) | −61.0100 | −0.685506 | −0.342753 | − | 0.939426i | \(-0.611359\pi\) | ||||
−0.342753 | + | 0.939426i | \(0.611359\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 0.137472i | − | 0.00151069i | ||||||
\(92\) | −28.0699 | + | 88.5804i | −0.305108 | + | 0.962831i | ||||
\(93\) | 72.7718 | 0.782492 | ||||||||
\(94\) | 24.9923 | − | 161.602i | 0.265876 | − | 1.71917i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −38.4717 | + | 39.8989i | −0.400747 | + | 0.415614i | ||||
\(97\) | 95.5437 | 0.984987 | 0.492494 | − | 0.870316i | \(-0.336086\pi\) | ||||
0.492494 | + | 0.870316i | \(0.336086\pi\) | |||||||
\(98\) | −96.6335 | − | 14.9447i | −0.986057 | − | 0.152497i | ||||
\(99\) | − | 61.4759i | − | 0.620969i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 162.675 | 1.61064 | 0.805322 | − | 0.592838i | \(-0.201992\pi\) | ||||
0.805322 | + | 0.592838i | \(0.201992\pi\) | |||||||
\(102\) | 9.84145 | − | 63.6355i | 0.0964848 | − | 0.623878i | ||||
\(103\) | − | 158.196i | − | 1.53588i | −0.640521 | − | 0.767941i | \(-0.721282\pi\) | ||
0.640521 | − | 0.767941i | \(-0.278718\pi\) | |||||||
\(104\) | 2.98670 | + | 1.48092i | 0.0287183 | + | 0.0142397i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 59.2445 | + | 9.16236i | 0.558910 | + | 0.0864373i | ||||
\(107\) | − | 18.1827i | − | 0.169932i | −0.996384 | − | 0.0849660i | \(-0.972922\pi\) | ||
0.996384 | − | 0.0849660i | \(-0.0270782\pi\) | |||||||
\(108\) | −6.27865 | + | 19.8136i | −0.0581357 | + | 0.183459i | ||||
\(109\) | −156.842 | −1.43891 | −0.719457 | − | 0.694537i | \(-0.755609\pi\) | ||||
−0.719457 | + | 0.694537i | \(0.755609\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 88.2520i | − | 0.795063i | ||||||
\(112\) | −3.04001 | + | 4.31503i | −0.0271430 | + | 0.0385270i | ||||
\(113\) | −98.7245 | −0.873668 | −0.436834 | − | 0.899542i | \(-0.643900\pi\) | ||||
−0.436834 | + | 0.899542i | \(0.643900\pi\) | |||||||
\(114\) | 42.6225 | + | 6.59172i | 0.373882 | + | 0.0578221i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −91.1972 | − | 28.8991i | −0.786183 | − | 0.249130i | ||||
\(117\) | 1.25014 | 0.0106849 | ||||||||
\(118\) | −7.43735 | + | 48.0904i | −0.0630284 | + | 0.407546i | ||||
\(119\) | − | 6.13227i | − | 0.0515317i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −298.921 | −2.47042 | ||||||||
\(122\) | 147.925 | + | 22.8770i | 1.21250 | + | 0.187517i | ||||
\(123\) | − | 80.8994i | − | 0.657718i | ||||||
\(124\) | −50.7676 | + | 160.208i | −0.409416 | + | 1.29200i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.302523 | + | 1.95613i | −0.00240097 | + | 0.0155249i | ||||
\(127\) | − | 27.0938i | − | 0.213337i | −0.994295 | − | 0.106669i | \(-0.965982\pi\) | ||
0.994295 | − | 0.106669i | \(-0.0340184\pi\) | |||||||
\(128\) | −60.9990 | − | 112.531i | −0.476555 | − | 0.879145i | ||||
\(129\) | 96.2789 | 0.746348 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.45811i | 0.0340314i | 0.999855 | + | 0.0170157i | \(0.00541653\pi\) | ||||
−0.999855 | + | 0.0170157i | \(0.994583\pi\) | |||||||
\(132\) | 135.340 | + | 42.8873i | 1.02530 | + | 0.324904i | ||||
\(133\) | 4.10734 | 0.0308822 | ||||||||
\(134\) | 22.2533 | − | 143.891i | 0.166069 | − | 1.07381i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 133.229 | + | 66.0600i | 0.979622 | + | 0.485735i | ||||
\(137\) | −181.700 | −1.32628 | −0.663139 | − | 0.748496i | \(-0.730776\pi\) | ||||
−0.663139 | + | 0.748496i | \(0.730776\pi\) | |||||||
\(138\) | −79.5270 | − | 12.2991i | −0.576282 | − | 0.0891241i | ||||
\(139\) | 223.419i | 1.60733i | 0.595083 | + | 0.803664i | \(0.297119\pi\) | ||||
−0.595083 | + | 0.803664i | \(0.702881\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 141.615 | 1.00436 | ||||||||
\(142\) | −12.0069 | + | 77.6377i | −0.0845559 | + | 0.546744i | ||||
\(143\) | − | 8.53925i | − | 0.0597151i | ||||||
\(144\) | −39.2397 | − | 27.6450i | −0.272498 | − | 0.191979i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 92.0683 | + | 14.2387i | 0.630604 | + | 0.0975251i | ||||
\(147\) | − | 84.6820i | − | 0.576068i | ||||||
\(148\) | 194.288 | + | 61.5670i | 1.31275 | + | 0.415994i | ||||
\(149\) | 123.867 | 0.831324 | 0.415662 | − | 0.909519i | \(-0.363550\pi\) | ||||
0.415662 | + | 0.909519i | \(0.363550\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 76.0961i | − | 0.503948i | −0.967734 | − | 0.251974i | \(-0.918920\pi\) | ||
0.967734 | − | 0.251974i | \(-0.0810797\pi\) | |||||||
\(152\) | −44.2464 | + | 89.2353i | −0.291095 | + | 0.587075i | ||||
\(153\) | 55.7651 | 0.364478 | ||||||||
\(154\) | 13.3617 | + | 2.06643i | 0.0867641 | + | 0.0134184i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.872130 | + | 2.75219i | −0.00559058 | + | 0.0176422i | ||||
\(157\) | 34.2940 | 0.218433 | 0.109217 | − | 0.994018i | \(-0.465166\pi\) | ||||
0.109217 | + | 0.994018i | \(0.465166\pi\) | |||||||
\(158\) | −31.1541 | + | 201.445i | −0.197178 | + | 1.27497i | ||||
\(159\) | 51.9172i | 0.326523i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.66365 | −0.0476003 | ||||||||
\(162\) | −17.7885 | − | 2.75106i | −0.109806 | − | 0.0169818i | ||||
\(163\) | 165.538i | 1.01557i | 0.861483 | + | 0.507786i | \(0.169536\pi\) | ||||
−0.861483 | + | 0.507786i | \(0.830464\pi\) | |||||||
\(164\) | 178.101 | + | 56.4377i | 1.08598 | + | 0.344132i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.80015 | − | 11.6399i | 0.0108443 | − | 0.0701198i | ||||
\(167\) | − | 83.6064i | − | 0.500637i | −0.968164 | − | 0.250319i | \(-0.919465\pi\) | ||
0.968164 | − | 0.250319i | \(-0.0805353\pi\) | |||||||
\(168\) | −4.09540 | − | 2.03066i | −0.0243774 | − | 0.0120873i | ||||
\(169\) | −168.826 | −0.998972 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 37.3510i | 0.218427i | ||||||||
\(172\) | −67.1668 | + | 211.959i | −0.390505 | + | 1.23232i | ||||
\(173\) | 192.900 | 1.11503 | 0.557513 | − | 0.830168i | \(-0.311756\pi\) | ||||
0.557513 | + | 0.830168i | \(0.311756\pi\) | |||||||
\(174\) | 12.6625 | − | 81.8763i | 0.0727727 | − | 0.470554i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −188.834 | + | 268.033i | −1.07292 | + | 1.52291i | ||||
\(177\) | −42.1427 | −0.238094 | ||||||||
\(178\) | 120.587 | + | 18.6491i | 0.677452 | + | 0.104770i | ||||
\(179\) | 120.939i | 0.675637i | 0.941211 | + | 0.337819i | \(0.109689\pi\) | ||||
−0.941211 | + | 0.337819i | \(0.890311\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −107.583 | −0.594381 | −0.297191 | − | 0.954818i | \(-0.596050\pi\) | ||||
−0.297191 | + | 0.954818i | \(0.596050\pi\) | |||||||
\(182\) | −0.0420216 | + | 0.271715i | −0.000230888 | + | 0.00149294i | ||||
\(183\) | 129.629i | 0.708357i | ||||||||
\(184\) | 82.5569 | − | 166.499i | 0.448679 | − | 0.904887i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −143.834 | − | 22.2444i | −0.773299 | − | 0.119593i | ||||
\(187\) | − | 380.913i | − | 2.03697i | ||||||
\(188\) | −98.7947 | + | 311.767i | −0.525504 | + | 1.65834i | ||||
\(189\) | −1.71420 | −0.00906984 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 279.706i | − | 1.46443i | −0.681075 | − | 0.732214i | \(-0.738487\pi\) | ||
0.681075 | − | 0.732214i | \(-0.261513\pi\) | |||||||
\(192\) | 88.2355 | − | 67.1006i | 0.459560 | − | 0.349482i | ||||
\(193\) | −102.534 | −0.531263 | −0.265632 | − | 0.964075i | \(-0.585580\pi\) | ||||
−0.265632 | + | 0.964075i | \(0.585580\pi\) | |||||||
\(194\) | −188.842 | − | 29.2051i | −0.973415 | − | 0.150542i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 186.428 | + | 59.0765i | 0.951165 | + | 0.301411i | ||||
\(197\) | 38.9632 | 0.197783 | 0.0988913 | − | 0.995098i | \(-0.468470\pi\) | ||||
0.0988913 | + | 0.995098i | \(0.468470\pi\) | |||||||
\(198\) | −18.7915 | + | 121.507i | −0.0949067 | + | 0.613673i | ||||
\(199\) | 147.646i | 0.741940i | 0.928645 | + | 0.370970i | \(0.120975\pi\) | ||||
−0.928645 | + | 0.370970i | \(0.879025\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 126.095 | 0.627337 | ||||||||
\(202\) | −321.528 | − | 49.7254i | −1.59172 | − | 0.246165i | ||||
\(203\) | − | 7.89005i | − | 0.0388672i | ||||||
\(204\) | −38.9033 | + | 122.768i | −0.190703 | + | 0.601802i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −48.3562 | + | 312.674i | −0.234739 | + | 1.51784i | ||||
\(207\) | − | 69.6912i | − | 0.336672i | ||||||
\(208\) | −5.45055 | − | 3.84001i | −0.0262046 | − | 0.0184616i | ||||
\(209\) | 255.132 | 1.22073 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 233.336i | 1.10586i | 0.833229 | + | 0.552928i | \(0.186490\pi\) | ||||
−0.833229 | + | 0.552928i | \(0.813510\pi\) | |||||||
\(212\) | −114.296 | − | 36.2189i | −0.539133 | − | 0.170844i | ||||
\(213\) | −68.0355 | −0.319416 | ||||||||
\(214\) | −5.55797 | + | 35.9382i | −0.0259718 | + | 0.167936i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 18.4663 | − | 37.2424i | 0.0854919 | − | 0.172419i | ||||
\(217\) | −13.8606 | −0.0638737 | ||||||||
\(218\) | 309.998 | + | 47.9422i | 1.42201 | + | 0.219918i | ||||
\(219\) | 80.6813i | 0.368408i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.74600 | 0.0350498 | ||||||||
\(222\) | −26.9762 | + | 174.430i | −0.121515 | + | 0.785722i | ||||
\(223\) | − | 82.7105i | − | 0.370899i | −0.982654 | − | 0.185450i | \(-0.940626\pi\) | ||
0.982654 | − | 0.185450i | \(-0.0593741\pi\) | |||||||
\(224\) | 7.32758 | − | 7.59941i | 0.0327124 | − | 0.0339260i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 195.129 | + | 30.1774i | 0.863403 | + | 0.133528i | ||||
\(227\) | − | 361.534i | − | 1.59266i | −0.604862 | − | 0.796330i | \(-0.706772\pi\) | ||
0.604862 | − | 0.796330i | \(-0.293228\pi\) | |||||||
\(228\) | −82.2286 | − | 26.0571i | −0.360652 | − | 0.114286i | ||||
\(229\) | 121.818 | 0.531955 | 0.265977 | − | 0.963979i | \(-0.414305\pi\) | ||||
0.265977 | + | 0.963979i | \(0.414305\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.7091i | 0.0506888i | ||||||||
\(232\) | 171.418 | + | 84.9957i | 0.738870 | + | 0.366361i | ||||
\(233\) | 136.615 | 0.586329 | 0.293164 | − | 0.956062i | \(-0.405292\pi\) | ||||
0.293164 | + | 0.956062i | \(0.405292\pi\) | |||||||
\(234\) | −2.47090 | − | 0.382133i | −0.0105594 | − | 0.00163305i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 29.3999 | − | 92.7775i | 0.124576 | − | 0.393125i | ||||
\(237\) | −176.530 | −0.744853 | ||||||||
\(238\) | −1.87447 | + | 12.1204i | −0.00787592 | + | 0.0509262i | ||||
\(239\) | 56.4632i | 0.236248i | 0.992999 | + | 0.118124i | \(0.0376880\pi\) | ||||
−0.992999 | + | 0.118124i | \(0.962312\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.24158 | −0.00930117 | −0.00465059 | − | 0.999989i | \(-0.501480\pi\) | ||||
−0.00465059 | + | 0.999989i | \(0.501480\pi\) | |||||||
\(242\) | 590.818 | + | 91.3720i | 2.44140 | + | 0.377570i | ||||
\(243\) | − | 15.5885i | − | 0.0641500i | ||||||
\(244\) | −285.381 | − | 90.4331i | −1.16959 | − | 0.370627i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −24.7287 | + | 159.898i | −0.100523 | + | 0.649991i | ||||
\(247\) | 5.18820i | 0.0210049i | ||||||||
\(248\) | 149.314 | − | 301.133i | 0.602071 | − | 1.21425i | ||||
\(249\) | 10.2003 | 0.0409650 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 395.809i | 1.57693i | 0.615081 | + | 0.788464i | \(0.289123\pi\) | ||||
−0.615081 | + | 0.788464i | \(0.710877\pi\) | |||||||
\(252\) | 1.19587 | − | 3.77383i | 0.00474553 | − | 0.0149755i | ||||
\(253\) | −476.036 | −1.88157 | ||||||||
\(254\) | −8.28184 | + | 53.5510i | −0.0326057 | + | 0.210831i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 86.1671 | + | 241.063i | 0.336590 | + | 0.941651i | ||||
\(257\) | 109.778 | 0.427151 | 0.213576 | − | 0.976927i | \(-0.431489\pi\) | ||||
0.213576 | + | 0.976927i | \(0.431489\pi\) | |||||||
\(258\) | −190.295 | − | 29.4298i | −0.737579 | − | 0.114069i | ||||
\(259\) | 16.8091i | 0.0648998i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 71.7499 | 0.274904 | ||||||||
\(262\) | 1.36272 | − | 8.81147i | 0.00520124 | − | 0.0336316i | ||||
\(263\) | − | 327.702i | − | 1.24601i | −0.782216 | − | 0.623007i | \(-0.785911\pi\) | ||
0.782216 | − | 0.623007i | \(-0.214089\pi\) | |||||||
\(264\) | −254.390 | − | 126.137i | −0.963599 | − | 0.477790i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −8.11816 | − | 1.25550i | −0.0305194 | − | 0.00471993i | ||||
\(267\) | 105.673i | 0.395777i | ||||||||
\(268\) | −87.9672 | + | 277.599i | −0.328236 | + | 1.03582i | ||||
\(269\) | −130.032 | −0.483392 | −0.241696 | − | 0.970352i | \(-0.577704\pi\) | ||||
−0.241696 | + | 0.970352i | \(0.577704\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 329.669i | − | 1.21649i | −0.793750 | − | 0.608245i | \(-0.791874\pi\) | ||
0.793750 | − | 0.608245i | \(-0.208126\pi\) | |||||||
\(272\) | −243.134 | − | 171.292i | −0.893875 | − | 0.629751i | ||||
\(273\) | −0.238109 | −0.000872195 | ||||||||
\(274\) | 359.131 | + | 55.5408i | 1.31070 | + | 0.202704i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 153.426 | + | 48.6185i | 0.555891 | + | 0.176154i | ||||
\(277\) | 304.124 | 1.09792 | 0.548960 | − | 0.835849i | \(-0.315024\pi\) | ||||
0.548960 | + | 0.835849i | \(0.315024\pi\) | |||||||
\(278\) | 68.2930 | − | 441.588i | 0.245658 | − | 1.58844i | ||||
\(279\) | − | 126.044i | − | 0.451772i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 240.099 | 0.854446 | 0.427223 | − | 0.904146i | \(-0.359492\pi\) | ||||
0.427223 | + | 0.904146i | \(0.359492\pi\) | |||||||
\(282\) | −279.903 | − | 43.2879i | −0.992563 | − | 0.153503i | ||||
\(283\) | 86.6730i | 0.306265i | 0.988206 | + | 0.153133i | \(0.0489362\pi\) | ||||
−0.988206 | + | 0.153133i | \(0.951064\pi\) | |||||||
\(284\) | 47.4635 | − | 149.781i | 0.167125 | − | 0.527398i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.61022 | + | 16.8779i | −0.00912664 | + | 0.0590135i | ||||
\(287\) | 15.4086i | 0.0536886i | ||||||||
\(288\) | 69.1070 | + | 66.6350i | 0.239955 | + | 0.231372i | ||||
\(289\) | 56.5280 | 0.195599 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 165.487i | − | 0.568683i | ||||||
\(292\) | −177.621 | − | 56.2856i | −0.608290 | − | 0.192759i | ||||
\(293\) | 390.339 | 1.33222 | 0.666108 | − | 0.745855i | \(-0.267959\pi\) | ||||
0.666108 | + | 0.745855i | \(0.267959\pi\) | |||||||
\(294\) | −25.8850 | + | 167.374i | −0.0880442 | + | 0.569300i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −365.191 | − | 181.076i | −1.23375 | − | 0.611743i | ||||
\(297\) | −106.479 | −0.358517 | ||||||||
\(298\) | −244.824 | − | 37.8629i | −0.821557 | − | 0.127057i | ||||
\(299\) | − | 9.68038i | − | 0.0323759i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −18.3379 | −0.0609233 | ||||||||
\(302\) | −23.2605 | + | 150.404i | −0.0770216 | + | 0.498027i | ||||
\(303\) | − | 281.761i | − | 0.929906i | ||||||
\(304\) | 114.730 | − | 162.849i | 0.377401 | − | 0.535687i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −110.220 | − | 17.0459i | −0.360196 | − | 0.0557056i | ||||
\(307\) | 60.2318i | 0.196195i | 0.995177 | + | 0.0980973i | \(0.0312757\pi\) | ||||
−0.995177 | + | 0.0980973i | \(0.968724\pi\) | |||||||
\(308\) | −25.7777 | − | 8.16860i | −0.0836939 | − | 0.0265214i | ||||
\(309\) | −274.003 | −0.886741 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 106.594i | − | 0.342747i | −0.985206 | − | 0.171373i | \(-0.945180\pi\) | ||
0.985206 | − | 0.171373i | \(-0.0548205\pi\) | |||||||
\(312\) | 2.56504 | − | 5.17312i | 0.00822127 | − | 0.0165805i | ||||
\(313\) | −46.2243 | −0.147682 | −0.0738408 | − | 0.997270i | \(-0.523526\pi\) | ||||
−0.0738408 | + | 0.997270i | \(0.523526\pi\) | |||||||
\(314\) | −67.7823 | − | 10.4828i | −0.215867 | − | 0.0333846i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 123.152 | − | 388.633i | 0.389723 | − | 1.22985i | ||||
\(317\) | −8.36780 | −0.0263969 | −0.0131984 | − | 0.999913i | \(-0.504201\pi\) | ||||
−0.0131984 | + | 0.999913i | \(0.504201\pi\) | |||||||
\(318\) | 15.8697 | − | 102.614i | 0.0499046 | − | 0.322687i | ||||
\(319\) | − | 490.099i | − | 1.53636i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −31.4934 | −0.0981103 | ||||||||
\(322\) | 15.1472 | + | 2.34257i | 0.0470411 | + | 0.00727507i | ||||
\(323\) | 231.432i | 0.716506i | ||||||||
\(324\) | 34.3182 | + | 10.8749i | 0.105920 | + | 0.0335646i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 50.6006 | − | 327.187i | 0.155217 | − | 1.00364i | ||||
\(327\) | 271.658i | 0.830757i | ||||||||
\(328\) | −334.765 | − | 165.990i | −1.02063 | − | 0.506066i | ||||
\(329\) | −26.9730 | −0.0819847 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 111.072i | 0.335564i | 0.985824 | + | 0.167782i | \(0.0536605\pi\) | ||||
−0.985824 | + | 0.167782i | \(0.946339\pi\) | |||||||
\(332\) | −7.11600 | + | 22.4560i | −0.0214337 | + | 0.0676386i | ||||
\(333\) | −152.857 | −0.459030 | ||||||||
\(334\) | −25.5562 | + | 165.248i | −0.0765156 | + | 0.494755i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 7.47385 | + | 5.26546i | 0.0222436 | + | 0.0156710i | ||||
\(337\) | −231.853 | −0.687990 | −0.343995 | − | 0.938972i | \(-0.611780\pi\) | ||||
−0.343995 | + | 0.938972i | \(0.611780\pi\) | |||||||
\(338\) | 333.686 | + | 51.6057i | 0.987236 | + | 0.152679i | ||||
\(339\) | 170.996i | 0.504412i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −860.966 | −2.52483 | ||||||||
\(342\) | 11.4172 | − | 73.8244i | 0.0333836 | − | 0.215861i | ||||
\(343\) | 32.2941i | 0.0941518i | ||||||||
\(344\) | 197.546 | − | 398.406i | 0.574260 | − | 1.15816i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −381.266 | − | 58.9642i | −1.10193 | − | 0.170417i | ||||
\(347\) | 402.088i | 1.15875i | 0.815059 | + | 0.579377i | \(0.196704\pi\) | ||||
−0.815059 | + | 0.579377i | \(0.803296\pi\) | |||||||
\(348\) | −50.0548 | + | 157.958i | −0.143835 | + | 0.453903i | ||||
\(349\) | −163.284 | −0.467864 | −0.233932 | − | 0.972253i | \(-0.575159\pi\) | ||||
−0.233932 | + | 0.972253i | \(0.575159\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 2.16530i | − | 0.00616894i | ||||||
\(352\) | 455.161 | − | 472.046i | 1.29307 | − | 1.34104i | ||||
\(353\) | 175.851 | 0.498161 | 0.249081 | − | 0.968483i | \(-0.419872\pi\) | ||||
0.249081 | + | 0.968483i | \(0.419872\pi\) | |||||||
\(354\) | 83.2951 | + | 12.8819i | 0.235297 | + | 0.0363895i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −232.639 | − | 73.7201i | −0.653481 | − | 0.207079i | ||||
\(357\) | −10.6214 | −0.0297518 | ||||||||
\(358\) | 36.9678 | − | 239.037i | 0.103262 | − | 0.667700i | ||||
\(359\) | − | 345.628i | − | 0.962753i | −0.876514 | − | 0.481377i | \(-0.840137\pi\) | ||
0.876514 | − | 0.481377i | \(-0.159863\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 205.989 | 0.570607 | ||||||||
\(362\) | 212.638 | + | 32.8852i | 0.587398 | + | 0.0908431i | ||||
\(363\) | 517.746i | 1.42630i | ||||||||
\(364\) | 0.166112 | − | 0.524200i | 0.000456351 | − | 0.00144011i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 39.6242 | − | 256.213i | 0.108263 | − | 0.700035i | ||||
\(367\) | 728.998i | 1.98637i | 0.116546 | + | 0.993185i | \(0.462818\pi\) | ||||
−0.116546 | + | 0.993185i | \(0.537182\pi\) | |||||||
\(368\) | −214.068 | + | 303.851i | −0.581707 | + | 0.825682i | ||||
\(369\) | −140.122 | −0.379734 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 9.88848i | − | 0.0266536i | ||||||
\(372\) | 277.488 | + | 87.9321i | 0.745936 | + | 0.236377i | ||||
\(373\) | −46.6749 | −0.125134 | −0.0625668 | − | 0.998041i | \(-0.519929\pi\) | ||||
−0.0625668 | + | 0.998041i | \(0.519929\pi\) | |||||||
\(374\) | −116.435 | + | 752.875i | −0.311323 | + | 2.01303i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 290.567 | − | 586.010i | 0.772784 | − | 1.55854i | ||||
\(377\) | 9.96635 | 0.0264360 | ||||||||
\(378\) | 3.38812 | + | 0.523984i | 0.00896328 | + | 0.00138620i | ||||
\(379\) | − | 117.629i | − | 0.310368i | −0.987886 | − | 0.155184i | \(-0.950403\pi\) | ||
0.987886 | − | 0.155184i | \(-0.0495970\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −46.9278 | −0.123170 | ||||||||
\(382\) | −85.4985 | + | 552.839i | −0.223818 | + | 1.44722i | ||||
\(383\) | − | 251.669i | − | 0.657100i | −0.944487 | − | 0.328550i | \(-0.893440\pi\) | ||
0.944487 | − | 0.328550i | \(-0.106560\pi\) | |||||||
\(384\) | −194.909 | + | 105.653i | −0.507575 | + | 0.275139i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 202.658 | + | 31.3418i | 0.525022 | + | 0.0811964i | ||||
\(387\) | − | 166.760i | − | 0.430904i | ||||||
\(388\) | 364.321 | + | 115.448i | 0.938970 | + | 0.297547i | ||||
\(389\) | 356.890 | 0.917454 | 0.458727 | − | 0.888577i | \(-0.348306\pi\) | ||||
0.458727 | + | 0.888577i | \(0.348306\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 431.815i | − | 1.10439i | ||||||
\(392\) | −350.418 | − | 173.751i | −0.893923 | − | 0.443242i | ||||
\(393\) | 7.72168 | 0.0196480 | ||||||||
\(394\) | −77.0108 | − | 11.9100i | −0.195459 | − | 0.0302284i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 74.2830 | − | 234.416i | 0.187583 | − | 0.591958i | ||||
\(397\) | −103.819 | −0.261508 | −0.130754 | − | 0.991415i | \(-0.541740\pi\) | ||||
−0.130754 | + | 0.991415i | \(0.541740\pi\) | |||||||
\(398\) | 45.1314 | − | 291.823i | 0.113396 | − | 0.733224i | ||||
\(399\) | − | 7.11412i | − | 0.0178299i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −121.598 | −0.303237 | −0.151618 | − | 0.988439i | \(-0.548449\pi\) | ||||
−0.151618 | + | 0.988439i | \(0.548449\pi\) | |||||||
\(402\) | −249.227 | − | 38.5438i | −0.619967 | − | 0.0958800i | ||||
\(403\) | − | 17.5081i | − | 0.0434444i | ||||||
\(404\) | 620.301 | + | 196.565i | 1.53540 | + | 0.486546i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.41177 | + | 15.5947i | −0.00594033 | + | 0.0384106i | ||||
\(407\) | 1044.11i | 2.56539i | ||||||||
\(408\) | 114.419 | − | 230.759i | 0.280439 | − | 0.565585i | ||||
\(409\) | 182.788 | 0.446915 | 0.223457 | − | 0.974714i | \(-0.428266\pi\) | ||||
0.223457 | + | 0.974714i | \(0.428266\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 314.714i | 0.765727i | ||||||||
\(412\) | 191.152 | − | 603.221i | 0.463962 | − | 1.46413i | ||||
\(413\) | 8.02677 | 0.0194353 | ||||||||
\(414\) | −21.3027 | + | 137.745i | −0.0514558 | + | 0.332717i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 9.59924 | + | 9.25587i | 0.0230751 | + | 0.0222497i | ||||
\(417\) | 386.972 | 0.927991 | ||||||||
\(418\) | −504.269 | − | 77.9869i | −1.20638 | − | 0.186572i | ||||
\(419\) | − | 168.020i | − | 0.401003i | −0.979693 | − | 0.200502i | \(-0.935743\pi\) | ||
0.979693 | − | 0.200502i | \(-0.0642572\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 625.291 | 1.48525 | 0.742626 | − | 0.669706i | \(-0.233580\pi\) | ||||
0.742626 | + | 0.669706i | \(0.233580\pi\) | |||||||
\(422\) | 71.3244 | − | 461.189i | 0.169015 | − | 1.09286i | ||||
\(423\) | − | 245.285i | − | 0.579869i | ||||||
\(424\) | 214.836 | + | 106.524i | 0.506688 | + | 0.251236i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 134.472 | + | 20.7966i | 0.315663 | + | 0.0488184i | ||||
\(427\) | − | 24.6901i | − | 0.0578222i | ||||||
\(428\) | 21.9707 | − | 69.3331i | 0.0513334 | − | 0.161993i | ||||
\(429\) | −14.7904 | −0.0344765 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 133.413i | − | 0.309544i | −0.987950 | − | 0.154772i | \(-0.950536\pi\) | ||
0.987950 | − | 0.154772i | \(-0.0494643\pi\) | |||||||
\(432\) | −47.8826 | + | 67.9651i | −0.110839 | + | 0.157327i | ||||
\(433\) | 706.716 | 1.63214 | 0.816069 | − | 0.577954i | \(-0.196149\pi\) | ||||
0.816069 | + | 0.577954i | \(0.196149\pi\) | |||||||
\(434\) | 27.3955 | + | 4.23681i | 0.0631233 | + | 0.00976223i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −598.057 | − | 189.516i | −1.37169 | − | 0.434670i | ||||
\(437\) | 289.226 | 0.661844 | ||||||||
\(438\) | 24.6621 | − | 159.467i | 0.0563062 | − | 0.364080i | ||||
\(439\) | 507.488i | 1.15601i | 0.816033 | + | 0.578005i | \(0.196169\pi\) | ||||
−0.816033 | + | 0.578005i | \(0.803831\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −146.674 | −0.332593 | ||||||||
\(442\) | −15.3100 | − | 2.36774i | −0.0346380 | − | 0.00535689i | ||||
\(443\) | 412.172i | 0.930410i | 0.885203 | + | 0.465205i | \(0.154019\pi\) | ||||
−0.885203 | + | 0.465205i | \(0.845981\pi\) | |||||||
\(444\) | 106.637 | − | 336.516i | 0.240174 | − | 0.757919i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −25.2824 | + | 163.478i | −0.0566869 | + | 0.366542i | ||||
\(447\) | − | 214.544i | − | 0.479965i | ||||||
\(448\) | −16.8059 | + | 12.7804i | −0.0375132 | + | 0.0285277i | ||||
\(449\) | −808.617 | −1.80093 | −0.900465 | − | 0.434929i | \(-0.856773\pi\) | ||||
−0.900465 | + | 0.434929i | \(0.856773\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 957.124i | 2.12223i | ||||||||
\(452\) | −376.449 | − | 119.291i | −0.832852 | − | 0.263919i | ||||
\(453\) | −131.802 | −0.290955 | ||||||||
\(454\) | −110.511 | + | 714.573i | −0.243417 | + | 1.57395i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 154.560 | + | 76.6370i | 0.338948 | + | 0.168064i | ||||
\(457\) | 472.873 | 1.03473 | 0.517367 | − | 0.855764i | \(-0.326912\pi\) | ||||
0.517367 | + | 0.855764i | \(0.326912\pi\) | |||||||
\(458\) | −240.773 | − | 37.2364i | −0.525705 | − | 0.0813021i | ||||
\(459\) | − | 96.5881i | − | 0.210432i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 433.776 | 0.940946 | 0.470473 | − | 0.882414i | \(-0.344083\pi\) | ||||
0.470473 | + | 0.882414i | \(0.344083\pi\) | |||||||
\(462\) | 3.57916 | − | 23.1431i | 0.00774709 | − | 0.0500933i | ||||
\(463\) | 530.624i | 1.14606i | 0.819536 | + | 0.573028i | \(0.194231\pi\) | ||||
−0.819536 | + | 0.573028i | \(0.805769\pi\) | |||||||
\(464\) | −312.827 | − | 220.392i | −0.674196 | − | 0.474983i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −270.019 | − | 41.7594i | −0.579440 | − | 0.0896124i | ||||
\(467\) | − | 355.266i | − | 0.760741i | −0.924834 | − | 0.380370i | \(-0.875797\pi\) | ||
0.924834 | − | 0.380370i | \(-0.124203\pi\) | |||||||
\(468\) | 4.76693 | + | 1.51057i | 0.0101857 | + | 0.00322772i | ||||
\(469\) | −24.0168 | −0.0512086 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 59.3990i | − | 0.126113i | ||||||
\(472\) | −86.4686 | + | 174.388i | −0.183196 | + | 0.369467i | ||||
\(473\) | −1139.08 | −2.40820 | ||||||||
\(474\) | 348.912 | + | 53.9605i | 0.736102 | + | 0.113841i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 7.40978 | − | 23.3831i | 0.0155668 | − | 0.0491242i | ||||
\(477\) | 89.9232 | 0.188518 | ||||||||
\(478\) | 17.2593 | − | 111.600i | 0.0361072 | − | 0.233472i | ||||
\(479\) | − | 548.640i | − | 1.14539i | −0.819770 | − | 0.572693i | \(-0.805899\pi\) | ||
0.819770 | − | 0.572693i | \(-0.194101\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −21.2324 | −0.0441423 | ||||||||
\(482\) | 4.43050 | + | 0.685191i | 0.00919190 | + | 0.00142156i | ||||
\(483\) | 13.2738i | 0.0274821i | ||||||||
\(484\) | −1139.82 | − | 361.194i | −2.35501 | − | 0.746269i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −4.76497 | + | 30.8106i | −0.00980446 | + | 0.0633964i | ||||
\(487\) | 134.618i | 0.276422i | 0.990403 | + | 0.138211i | \(0.0441352\pi\) | ||||
−0.990403 | + | 0.138211i | \(0.955865\pi\) | |||||||
\(488\) | 536.412 | + | 265.974i | 1.09921 | + | 0.545029i | ||||
\(489\) | 286.721 | 0.586341 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 756.810i | 1.54136i | 0.637220 | + | 0.770682i | \(0.280084\pi\) | ||||
−0.637220 | + | 0.770682i | \(0.719916\pi\) | |||||||
\(492\) | 97.7529 | − | 308.480i | 0.198685 | − | 0.626991i | ||||
\(493\) | 444.572 | 0.901768 | ||||||||
\(494\) | 1.58589 | − | 10.2545i | 0.00321031 | − | 0.0207581i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −387.167 | + | 549.549i | −0.780579 | + | 1.10796i | ||||
\(497\) | 12.9585 | 0.0260734 | ||||||||
\(498\) | −20.1609 | − | 3.11795i | −0.0404837 | − | 0.00626094i | ||||
\(499\) | − | 706.956i | − | 1.41675i | −0.705838 | − | 0.708373i | \(-0.749430\pi\) | ||
0.705838 | − | 0.708373i | \(-0.250570\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −144.811 | −0.289043 | ||||||||
\(502\) | 120.988 | − | 782.318i | 0.241012 | − | 1.55840i | ||||
\(503\) | − | 100.567i | − | 0.199935i | −0.994991 | − | 0.0999673i | \(-0.968126\pi\) | ||
0.994991 | − | 0.0999673i | \(-0.0318738\pi\) | |||||||
\(504\) | −3.51720 | + | 7.09344i | −0.00697858 | + | 0.0140743i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 940.887 | + | 145.511i | 1.85946 | + | 0.287572i | ||||
\(507\) | 292.416i | 0.576757i | ||||||||
\(508\) | 32.7382 | − | 103.312i | 0.0644452 | − | 0.203370i | ||||
\(509\) | 753.185 | 1.47973 | 0.739867 | − | 0.672753i | \(-0.234888\pi\) | ||||
0.739867 | + | 0.672753i | \(0.234888\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 15.3671i | − | 0.0300726i | ||||||
\(512\) | −96.6232 | − | 502.800i | −0.188717 | − | 0.982031i | ||||
\(513\) | 64.6938 | 0.126109 | ||||||||
\(514\) | −216.976 | − | 33.5561i | −0.422133 | − | 0.0652843i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 367.124 | + | 116.336i | 0.711480 | + | 0.225458i | ||||
\(517\) | −1675.46 | −3.24073 | ||||||||
\(518\) | 5.13807 | − | 33.2231i | 0.00991906 | − | 0.0641373i | ||||
\(519\) | − | 334.112i | − | 0.643761i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 117.708 | 0.225926 | 0.112963 | − | 0.993599i | \(-0.463966\pi\) | ||||
0.112963 | + | 0.993599i | \(0.463966\pi\) | |||||||
\(522\) | −141.814 | − | 21.9320i | −0.271674 | − | 0.0420153i | ||||
\(523\) | − | 617.411i | − | 1.18052i | −0.807214 | − | 0.590259i | \(-0.799026\pi\) | ||
0.807214 | − | 0.590259i | \(-0.200974\pi\) | |||||||
\(524\) | −5.38686 | + | 16.9994i | −0.0102803 | + | 0.0324415i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −100.170 | + | 647.704i | −0.190437 | + | 1.23138i | ||||
\(527\) | − | 780.988i | − | 1.48195i | ||||||
\(528\) | 464.246 | + | 327.070i | 0.879254 | + | 0.619450i | ||||
\(529\) | −10.6508 | −0.0201338 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 72.9932i | 0.137464i | ||||||||
\(532\) | 15.6618 | + | 4.96301i | 0.0294395 | + | 0.00932896i | ||||
\(533\) | −19.4635 | −0.0365169 | ||||||||
\(534\) | 32.3012 | − | 208.862i | 0.0604892 | − | 0.391127i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 258.722 | − | 521.786i | 0.482690 | − | 0.973481i | ||||
\(537\) | 209.473 | 0.390079 | ||||||||
\(538\) | 257.009 | + | 39.7474i | 0.477713 | + | 0.0738799i | ||||
\(539\) | 1001.88i | 1.85877i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 352.762 | 0.652056 | 0.326028 | − | 0.945360i | \(-0.394290\pi\) | ||||
0.326028 | + | 0.945360i | \(0.394290\pi\) | |||||||
\(542\) | −100.771 | + | 651.591i | −0.185924 | + | 1.20220i | ||||
\(543\) | 186.339i | 0.343166i | ||||||||
\(544\) | 428.196 | + | 412.879i | 0.787125 | + | 0.758969i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.470623 | + | 0.0727835i | 0.000861948 | + | 0.000133303i | ||||
\(547\) | − | 295.110i | − | 0.539507i | −0.962929 | − | 0.269753i | \(-0.913058\pi\) | ||
0.962929 | − | 0.269753i | \(-0.0869422\pi\) | |||||||
\(548\) | −692.846 | − | 219.553i | −1.26432 | − | 0.400644i | ||||
\(549\) | 224.525 | 0.408970 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 297.770i | 0.540418i | ||||||||
\(552\) | −288.385 | − | 142.993i | −0.522437 | − | 0.259045i | ||||
\(553\) | 33.6231 | 0.0608013 | ||||||||
\(554\) | −601.102 | − | 92.9624i | −1.08502 | − | 0.167802i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −269.963 | + | 851.924i | −0.485545 | + | 1.53224i | ||||
\(557\) | 31.8538 | 0.0571882 | 0.0285941 | − | 0.999591i | \(-0.490897\pi\) | ||||
0.0285941 | + | 0.999591i | \(0.490897\pi\) | |||||||
\(558\) | −38.5284 | + | 249.127i | −0.0690473 | + | 0.446465i | ||||
\(559\) | − | 23.1636i | − | 0.0414376i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −659.760 | −1.17604 | ||||||||
\(562\) | −474.557 | − | 73.3919i | −0.844408 | − | 0.130591i | ||||
\(563\) | 906.668i | 1.61042i | 0.592988 | + | 0.805211i | \(0.297948\pi\) | ||||
−0.592988 | + | 0.805211i | \(0.702052\pi\) | |||||||
\(564\) | 539.997 | + | 171.117i | 0.957441 | + | 0.303400i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 26.4936 | − | 171.310i | 0.0468085 | − | 0.302667i | ||||
\(567\) | 2.96908i | 0.00523647i | ||||||||
\(568\) | −139.596 | + | 281.534i | −0.245767 | + | 0.495659i | ||||
\(569\) | −465.009 | −0.817239 | −0.408620 | − | 0.912705i | \(-0.633990\pi\) | ||||
−0.408620 | + | 0.912705i | \(0.633990\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 265.895i | 0.465666i | 0.972517 | + | 0.232833i | \(0.0747995\pi\) | ||||
−0.972517 | + | 0.232833i | \(0.925200\pi\) | |||||||
\(572\) | 10.3182 | − | 32.5613i | 0.0180388 | − | 0.0569253i | ||||
\(573\) | −484.464 | −0.845488 | ||||||||
\(574\) | 4.71000 | − | 30.4552i | 0.00820557 | − | 0.0530578i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −116.222 | − | 152.828i | −0.201774 | − | 0.265327i | ||||
\(577\) | 138.097 | 0.239336 | 0.119668 | − | 0.992814i | \(-0.461817\pi\) | ||||
0.119668 | + | 0.992814i | \(0.461817\pi\) | |||||||
\(578\) | −111.728 | − | 17.2791i | −0.193301 | − | 0.0298946i | ||||
\(579\) | 177.594i | 0.306725i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.94281 | −0.00334391 | ||||||||
\(582\) | −50.5848 | + | 327.085i | −0.0869154 | + | 0.562001i | ||||
\(583\) | − | 614.234i | − | 1.05358i | ||||||
\(584\) | 333.863 | + | 165.542i | 0.571683 | + | 0.283463i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −771.507 | − | 119.316i | −1.31656 | − | 0.203611i | ||||
\(587\) | − | 648.473i | − | 1.10472i | −0.833604 | − | 0.552362i | \(-0.813727\pi\) | ||
0.833604 | − | 0.552362i | \(-0.186273\pi\) | |||||||
\(588\) | 102.324 | − | 322.903i | 0.174020 | − | 0.549155i | ||||
\(589\) | 523.098 | 0.888113 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 67.4862i | − | 0.114190i | ||||||
\(592\) | 666.451 | + | 469.526i | 1.12576 | + | 0.793118i | ||||
\(593\) | −350.392 | −0.590880 | −0.295440 | − | 0.955361i | \(-0.595466\pi\) | ||||
−0.295440 | + | 0.955361i | \(0.595466\pi\) | |||||||
\(594\) | 210.457 | + | 32.5479i | 0.354304 | + | 0.0547944i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 472.322 | + | 149.672i | 0.792486 | + | 0.251128i | ||||
\(597\) | 255.731 | 0.428359 | ||||||||
\(598\) | −2.95903 | + | 19.1333i | −0.00494821 | + | 0.0319955i | ||||
\(599\) | 276.745i | 0.462012i | 0.972952 | + | 0.231006i | \(0.0742017\pi\) | ||||
−0.972952 | + | 0.231006i | \(0.925798\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 815.487 | 1.35688 | 0.678442 | − | 0.734654i | \(-0.262656\pi\) | ||||
0.678442 | + | 0.734654i | \(0.262656\pi\) | |||||||
\(602\) | 36.2449 | + | 5.60540i | 0.0602075 | + | 0.00931130i | ||||
\(603\) | − | 218.403i | − | 0.362193i | ||||||
\(604\) | 91.9490 | − | 290.164i | 0.152233 | − | 0.480405i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −86.1269 | + | 556.902i | −0.142124 | + | 0.918981i | ||||
\(607\) | 247.049i | 0.407001i | 0.979075 | + | 0.203500i | \(0.0652318\pi\) | ||||
−0.979075 | + | 0.203500i | \(0.934768\pi\) | |||||||
\(608\) | −276.543 | + | 286.802i | −0.454840 | + | 0.471713i | ||||
\(609\) | −13.6660 | −0.0224400 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 34.0710i | − | 0.0557627i | ||||||
\(612\) | 212.640 | + | 67.3825i | 0.347450 | + | 0.110102i | ||||
\(613\) | 1005.15 | 1.63972 | 0.819862 | − | 0.572561i | \(-0.194050\pi\) | ||||
0.819862 | + | 0.572561i | \(0.194050\pi\) | |||||||
\(614\) | 18.4112 | − | 119.048i | 0.0299857 | − | 0.193890i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 48.4528 | + | 24.0248i | 0.0786572 | + | 0.0390013i | ||||
\(617\) | 533.282 | 0.864314 | 0.432157 | − | 0.901798i | \(-0.357753\pi\) | ||||
0.432157 | + | 0.901798i | \(0.357753\pi\) | |||||||
\(618\) | 541.568 | + | 83.7553i | 0.876324 | + | 0.135526i | ||||
\(619\) | 1136.85i | 1.83659i | 0.395900 | + | 0.918294i | \(0.370433\pi\) | ||||
−0.395900 | + | 0.918294i | \(0.629567\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −120.709 | −0.194378 | ||||||||
\(622\) | −32.5830 | + | 210.684i | −0.0523842 | + | 0.338720i | ||||
\(623\) | − | 20.1271i | − | 0.0323067i | ||||||
\(624\) | −6.65109 | + | 9.44063i | −0.0106588 | + | 0.0151292i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 91.3625 | + | 14.1295i | 0.145946 | + | 0.0225711i | ||||
\(627\) | − | 441.901i | − | 0.704787i | ||||||
\(628\) | 130.768 | + | 41.4384i | 0.208229 | + | 0.0659847i | ||||
\(629\) | −947.121 | −1.50576 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 936.738i | − | 1.48453i | −0.670107 | − | 0.742265i | \(-0.733752\pi\) | ||
0.670107 | − | 0.742265i | \(-0.266248\pi\) | |||||||
\(632\) | −362.206 | + | 730.490i | −0.573110 | + | 1.15584i | ||||
\(633\) | 404.149 | 0.638466 | ||||||||
\(634\) | 16.5390 | + | 2.55781i | 0.0260867 | + | 0.00403440i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −62.7329 | + | 197.967i | −0.0986366 | + | 0.311269i | ||||
\(637\) | −20.3735 | −0.0319836 | ||||||||
\(638\) | −149.810 | + | 968.682i | −0.234812 | + | 1.51831i | ||||
\(639\) | 117.841i | 0.184415i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 214.558 | 0.334723 | 0.167362 | − | 0.985896i | \(-0.446475\pi\) | ||||
0.167362 | + | 0.985896i | \(0.446475\pi\) | |||||||
\(642\) | 62.2468 | + | 9.62669i | 0.0969577 | + | 0.0149948i | ||||
\(643\) | 786.394i | 1.22301i | 0.791241 | + | 0.611504i | \(0.209435\pi\) | ||||
−0.791241 | + | 0.611504i | \(0.790565\pi\) | |||||||
\(644\) | −29.2225 | − | 9.26020i | −0.0453765 | − | 0.0143792i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 70.7424 | − | 457.425i | 0.109508 | − | 0.708088i | ||||
\(647\) | 316.550i | 0.489258i | 0.969617 | + | 0.244629i | \(0.0786661\pi\) | ||||
−0.969617 | + | 0.244629i | \(0.921334\pi\) | |||||||
\(648\) | −64.5058 | − | 31.9845i | −0.0995459 | − | 0.0493588i | ||||
\(649\) | 498.592 | 0.768246 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 24.0073i | 0.0368775i | ||||||||
\(652\) | −200.024 | + | 631.219i | −0.306786 | + | 0.968127i | ||||
\(653\) | −516.391 | −0.790797 | −0.395399 | − | 0.918510i | \(-0.629394\pi\) | ||||
−0.395399 | + | 0.918510i | \(0.629394\pi\) | |||||||
\(654\) | 83.0384 | − | 536.932i | 0.126970 | − | 0.820997i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 610.926 | + | 430.408i | 0.931290 | + | 0.656110i | ||||
\(657\) | 139.744 | 0.212700 | ||||||||
\(658\) | 53.3121 | + | 8.24491i | 0.0810215 | + | 0.0125303i | ||||
\(659\) | 285.118i | 0.432653i | 0.976321 | + | 0.216326i | \(0.0694076\pi\) | ||||
−0.976321 | + | 0.216326i | \(0.930592\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −391.847 | −0.592809 | −0.296405 | − | 0.955062i | \(-0.595788\pi\) | ||||
−0.296405 | + | 0.955062i | \(0.595788\pi\) | |||||||
\(662\) | 33.9516 | − | 219.534i | 0.0512865 | − | 0.331622i | ||||
\(663\) | − | 13.4165i | − | 0.0202360i | ||||||
\(664\) | 20.9290 | − | 42.2092i | 0.0315196 | − | 0.0635681i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 302.122 | + | 46.7242i | 0.453637 | + | 0.0701565i | ||||
\(667\) | − | 555.593i | − | 0.832973i | ||||||
\(668\) | 101.024 | − | 318.802i | 0.151233 | − | 0.477248i | ||||
\(669\) | −143.259 | −0.214139 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 1533.65i | − | 2.28562i | ||||||
\(672\) | −13.1626 | − | 12.6917i | −0.0195872 | − | 0.0188865i | ||||
\(673\) | 1213.59 | 1.80325 | 0.901626 | − | 0.432517i | \(-0.142375\pi\) | ||||
0.901626 | + | 0.432517i | \(0.142375\pi\) | |||||||
\(674\) | 458.257 | + | 70.8711i | 0.679907 | + | 0.105150i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −643.756 | − | 203.997i | −0.952303 | − | 0.301771i | ||||
\(677\) | −251.863 | −0.372028 | −0.186014 | − | 0.982547i | \(-0.559557\pi\) | ||||
−0.186014 | + | 0.982547i | \(0.559557\pi\) | |||||||
\(678\) | 52.2688 | − | 337.974i | 0.0770926 | − | 0.498486i | ||||
\(679\) | 31.5197i | 0.0464207i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −626.195 | −0.919523 | ||||||||
\(682\) | 1701.70 | + | 263.174i | 2.49517 | + | 0.385886i | ||||
\(683\) | − | 664.793i | − | 0.973342i | −0.873585 | − | 0.486671i | \(-0.838211\pi\) | ||
0.873585 | − | 0.486671i | \(-0.161789\pi\) | |||||||
\(684\) | −45.1322 | + | 142.424i | −0.0659828 | + | 0.208222i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 9.87143 | − | 63.8293i | 0.0143898 | − | 0.0930457i | ||||
\(687\) | − | 210.994i | − | 0.307124i | ||||||
\(688\) | −512.231 | + | 727.067i | −0.744522 | + | 1.05678i | ||||
\(689\) | 12.4907 | 0.0181287 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 654.347i | − | 0.946957i | −0.880805 | − | 0.473479i | \(-0.842998\pi\) | ||
0.880805 | − | 0.473479i | \(-0.157002\pi\) | |||||||
\(692\) | 735.551 | + | 233.086i | 1.06293 | + | 0.336829i | ||||
\(693\) | 20.2808 | 0.0292652 | ||||||||
\(694\) | 122.907 | − | 794.728i | 0.177100 | − | 1.14514i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 147.217 | − | 296.904i | 0.211519 | − | 0.426587i | ||||
\(697\) | −868.213 | −1.24564 | ||||||||
\(698\) | 322.732 | + | 49.9117i | 0.462367 | + | 0.0715067i | ||||
\(699\) | − | 236.623i | − | 0.338517i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1266.25 | −1.80635 | −0.903174 | − | 0.429275i | \(-0.858769\pi\) | ||||
−0.903174 | + | 0.429275i | \(0.858769\pi\) | |||||||
\(702\) | −0.661874 | + | 4.27972i | −0.000942840 | + | 0.00609647i | ||||
\(703\) | − | 634.373i | − | 0.902380i | ||||||
\(704\) | −1043.92 | + | 793.870i | −1.48284 | + | 1.12766i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −347.570 | − | 53.7529i | −0.492309 | − | 0.0761372i | ||||
\(707\) | 53.6661i | 0.0759068i | ||||||||
\(708\) | −160.695 | − | 50.9221i | −0.226971 | − | 0.0719239i | ||||
\(709\) | −493.220 | −0.695656 | −0.347828 | − | 0.937558i | \(-0.613081\pi\) | ||||
−0.347828 | + | 0.937558i | \(0.613081\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 305.759i | 0.430041i | ||||||||
\(712\) | 437.278 | + | 216.819i | 0.614154 | + | 0.304522i | ||||
\(713\) | −976.020 | −1.36889 | ||||||||
\(714\) | 20.9932 | + | 3.24667i | 0.0294023 | + | 0.00454716i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −146.134 | + | 461.156i | −0.204098 | + | 0.644073i | ||||
\(717\) | 97.7971 | 0.136398 | ||||||||
\(718\) | −105.649 | + | 683.135i | −0.147144 | + | 0.951442i | ||||
\(719\) | 60.3910i | 0.0839930i | 0.999118 | + | 0.0419965i | \(0.0133718\pi\) | ||||
−0.999118 | + | 0.0419965i | \(0.986628\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 52.1884 | 0.0723834 | ||||||||
\(722\) | −407.138 | − | 62.9653i | −0.563904 | − | 0.0872096i | ||||
\(723\) | 3.88254i | 0.00537003i | ||||||||
\(724\) | −410.228 | − | 129.995i | −0.566613 | − | 0.179552i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 158.261 | − | 1023.33i | 0.217990 | − | 1.40954i | ||||
\(727\) | − | 994.690i | − | 1.36821i | −0.729383 | − | 0.684106i | \(-0.760193\pi\) | ||
0.729383 | − | 0.684106i | \(-0.239807\pi\) | |||||||
\(728\) | −0.488554 | + | 0.985307i | −0.000671090 | + | 0.00135344i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 1033.27i | − | 1.41350i | ||||||
\(732\) | −156.635 | + | 494.294i | −0.213982 | + | 0.675264i | ||||
\(733\) | −1167.65 | −1.59298 | −0.796488 | − | 0.604654i | \(-0.793311\pi\) | ||||
−0.796488 | + | 0.604654i | \(0.793311\pi\) | |||||||
\(734\) | 222.835 | − | 1440.87i | 0.303590 | − | 1.96303i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 515.986 | − | 535.127i | 0.701067 | − | 0.727075i | ||||
\(737\) | −1491.83 | −2.02420 | ||||||||
\(738\) | 276.951 | + | 42.8314i | 0.375273 | + | 0.0580372i | ||||
\(739\) | − | 79.9863i | − | 0.108236i | −0.998535 | − | 0.0541179i | \(-0.982765\pi\) | ||
0.998535 | − | 0.0541179i | \(-0.0172347\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.98623 | 0.0121272 | ||||||||
\(742\) | −3.02264 | + | 19.5446i | −0.00407364 | + | 0.0263405i | ||||
\(743\) | − | 402.122i | − | 0.541214i | −0.962690 | − | 0.270607i | \(-0.912776\pi\) | ||
0.962690 | − | 0.270607i | \(-0.0872244\pi\) | |||||||
\(744\) | −521.578 | − | 258.619i | −0.701045 | − | 0.347606i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 92.2530 | + | 14.2672i | 0.123664 | + | 0.0191250i | ||||
\(747\) | − | 17.6674i | − | 0.0236511i | ||||||
\(748\) | 460.267 | − | 1452.47i | 0.615330 | − | 1.94180i | ||||
\(749\) | 5.99844 | 0.00800860 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 58.7486i | − | 0.0782271i | −0.999235 | − | 0.0391136i | \(-0.987547\pi\) | ||
0.999235 | − | 0.0391136i | \(-0.0124534\pi\) | |||||||
\(752\) | −753.434 | + | 1069.43i | −1.00191 | + | 1.42212i | ||||
\(753\) | 685.561 | 0.910440 | ||||||||
\(754\) | −19.6985 | − | 3.04644i | −0.0261254 | − | 0.00404038i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −6.53646 | − | 2.07131i | −0.00864611 | − | 0.00273983i | ||||
\(757\) | 1040.91 | 1.37504 | 0.687522 | − | 0.726164i | \(-0.258699\pi\) | ||||
0.687522 | + | 0.726164i | \(0.258699\pi\) | |||||||
\(758\) | −35.9561 | + | 232.495i | −0.0474355 | + | 0.306721i | ||||
\(759\) | 824.519i | 1.08632i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 750.095 | 0.985670 | 0.492835 | − | 0.870123i | \(-0.335961\pi\) | ||||
0.492835 | + | 0.870123i | \(0.335961\pi\) | |||||||
\(762\) | 92.7530 | + | 14.3446i | 0.121723 | + | 0.0188249i | ||||
\(763\) | − | 51.7417i | − | 0.0678135i | ||||||
\(764\) | 337.976 | − | 1066.55i | 0.442377 | − | 1.39601i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −76.9285 | + | 497.425i | −0.100429 | + | 0.649380i | ||||
\(767\) | 10.1391i | 0.0132191i | ||||||||
\(768\) | 417.533 | − | 149.246i | 0.543663 | − | 0.194331i | ||||
\(769\) | 1065.98 | 1.38619 | 0.693094 | − | 0.720847i | \(-0.256247\pi\) | ||||
0.693094 | + | 0.720847i | \(0.256247\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 190.141i | − | 0.246616i | ||||||
\(772\) | −390.975 | − | 123.894i | −0.506444 | − | 0.160485i | ||||
\(773\) | 947.271 | 1.22545 | 0.612724 | − | 0.790297i | \(-0.290074\pi\) | ||||
0.612724 | + | 0.790297i | \(0.290074\pi\) | |||||||
\(774\) | −50.9740 | + | 329.601i | −0.0658579 | + | 0.425842i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −684.791 | − | 339.546i | −0.882463 | − | 0.437560i | ||||
\(777\) | 29.1141 | 0.0374699 | ||||||||
\(778\) | −705.393 | − | 109.092i | −0.906675 | − | 0.140220i | ||||
\(779\) | − | 581.521i | − | 0.746497i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 804.931 | 1.03064 | ||||||||
\(782\) | −131.994 | + | 853.484i | −0.168791 | + | 1.09141i | ||||
\(783\) | − | 124.275i | − | 0.158716i | ||||||
\(784\) | 639.491 | + | 450.533i | 0.815678 | + | 0.574659i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −15.2619 | − | 2.36031i | −0.0194172 | − | 0.00300294i | ||||
\(787\) | 11.5874i | 0.0147236i | 0.999973 | + | 0.00736178i | \(0.00234335\pi\) | ||||
−0.999973 | + | 0.00736178i | \(0.997657\pi\) | |||||||
\(788\) | 148.572 | + | 47.0803i | 0.188543 | + | 0.0597465i | ||||
\(789\) | −567.596 | −0.719387 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 32.5690i | − | 0.0411744i | ||||||
\(792\) | −218.475 | + | 440.617i | −0.275852 | + | 0.556334i | ||||
\(793\) | 31.1874 | 0.0393284 | ||||||||
\(794\) | 205.198 | + | 31.7345i | 0.258436 | + | 0.0399679i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −178.405 | + | 562.994i | −0.224127 | + | 0.707278i | ||||
\(797\) | 780.220 | 0.978946 | 0.489473 | − | 0.872018i | \(-0.337189\pi\) | ||||
0.489473 | + | 0.872018i | \(0.337189\pi\) | |||||||
\(798\) | −2.17459 | + | 14.0611i | −0.00272505 | + | 0.0176204i | ||||
\(799\) | − | 1519.82i | − | 1.90215i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 183.030 | 0.228502 | ||||||||
\(802\) | 240.339 | + | 37.1692i | 0.299674 | + | 0.0463457i | ||||
\(803\) | − | 954.545i | − | 1.18872i | ||||||
\(804\) | 480.815 | + | 152.364i | 0.598029 | + | 0.189507i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −5.35175 | + | 34.6048i | −0.00663989 | + | 0.0429340i | ||||
\(807\) | 225.223i | 0.279086i | ||||||||
\(808\) | −1165.94 | − | 578.120i | −1.44300 | − | 0.715495i | ||||
\(809\) | −1061.80 | −1.31249 | −0.656243 | − | 0.754549i | \(-0.727855\pi\) | ||||
−0.656243 | + | 0.754549i | \(0.727855\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 309.236i | − | 0.381302i | −0.981658 | − | 0.190651i | \(-0.938940\pi\) | ||
0.981658 | − | 0.190651i | \(-0.0610599\pi\) | |||||||
\(812\) | 9.53376 | − | 30.0858i | 0.0117411 | − | 0.0370514i | ||||
\(813\) | −571.003 | −0.702341 | ||||||||
\(814\) | 319.157 | − | 2063.69i | 0.392085 | − | 2.53525i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −296.687 | + | 421.121i | −0.363587 | + | 0.516079i | ||||
\(817\) | 692.072 | 0.847089 | ||||||||
\(818\) | −361.281 | − | 55.8734i | −0.441664 | − | 0.0683049i | ||||
\(819\) | 0.412417i | 0.000503562i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1156.76 | −1.40897 | −0.704483 | − | 0.709721i | \(-0.748821\pi\) | ||||
−0.704483 | + | 0.709721i | \(0.748821\pi\) | |||||||
\(822\) | 96.1995 | − | 622.033i | 0.117031 | − | 0.756731i | ||||
\(823\) | − | 1441.89i | − | 1.75200i | −0.482314 | − | 0.875998i | \(-0.660204\pi\) | ||
0.482314 | − | 0.875998i | \(-0.339796\pi\) | |||||||
\(824\) | −562.201 | + | 1133.84i | −0.682283 | + | 1.37602i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.8649 | − | 2.45357i | −0.0192069 | − | 0.00297042i | ||||
\(827\) | 367.599i | 0.444497i | 0.974990 | + | 0.222249i | \(0.0713397\pi\) | ||||
−0.974990 | + | 0.222249i | \(0.928660\pi\) | |||||||
\(828\) | 84.2097 | − | 265.741i | 0.101703 | − | 0.320944i | ||||
\(829\) | 172.743 | 0.208375 | 0.104188 | − | 0.994558i | \(-0.466776\pi\) | ||||
0.104188 | + | 0.994558i | \(0.466776\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 526.758i | − | 0.633884i | ||||||
\(832\) | −16.1437 | − | 21.2285i | −0.0194034 | − | 0.0255150i | ||||
\(833\) | −908.808 | −1.09101 | ||||||||
\(834\) | −764.852 | − | 118.287i | −0.917089 | − | 0.141831i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 972.850 | + | 308.283i | 1.16370 | + | 0.368759i | ||||
\(837\) | −218.315 | −0.260831 | ||||||||
\(838\) | −51.3593 | + | 332.093i | −0.0612879 | + | 0.396292i | ||||
\(839\) | 1083.17i | 1.29103i | 0.763748 | + | 0.645514i | \(0.223357\pi\) | ||||
−0.763748 | + | 0.645514i | \(0.776643\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −268.994 | −0.319850 | ||||||||
\(842\) | −1235.89 | − | 191.135i | −1.46780 | − | 0.227001i | ||||
\(843\) | − | 415.864i | − | 0.493315i | ||||||
\(844\) | −281.946 | + | 889.739i | −0.334059 | + | 1.05419i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −74.9769 | + | 484.806i | −0.0886252 | + | 0.573057i | ||||
\(847\) | − | 98.6133i | − | 0.116427i | ||||||
\(848\) | −392.062 | − | 276.214i | −0.462337 | − | 0.325724i | ||||
\(849\) | 150.122 | 0.176822 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1183.64i | 1.39088i | ||||||||
\(852\) | −259.428 | − | 82.2092i | −0.304493 | − | 0.0964896i | ||||
\(853\) | −1218.00 | −1.42790 | −0.713951 | − | 0.700196i | \(-0.753096\pi\) | ||||
−0.713951 | + | 0.700196i | \(0.753096\pi\) | |||||||
\(854\) | −7.54709 | + | 48.8000i | −0.00883734 | + | 0.0571429i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −64.6184 | + | 130.321i | −0.0754888 | + | 0.152244i | ||||
\(857\) | 207.055 | 0.241604 | 0.120802 | − | 0.992677i | \(-0.461453\pi\) | ||||
0.120802 | + | 0.992677i | \(0.461453\pi\) | |||||||
\(858\) | 29.2333 | + | 4.52103i | 0.0340715 | + | 0.00526927i | ||||
\(859\) | 1186.36i | 1.38109i | 0.723290 | + | 0.690544i | \(0.242629\pi\) | ||||
−0.723290 | + | 0.690544i | \(0.757371\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 26.6885 | 0.0309971 | ||||||||
\(862\) | −40.7809 | + | 263.692i | −0.0473096 | + | 0.305907i | ||||
\(863\) | 885.953i | 1.02660i | 0.858210 | + | 0.513298i | \(0.171577\pi\) | ||||
−0.858210 | + | 0.513298i | \(0.828423\pi\) | |||||||
\(864\) | 115.415 | − | 119.697i | 0.133582 | − | 0.138538i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −1396.83 | − | 216.024i | −1.61296 | − | 0.249450i | ||||
\(867\) | − | 97.9093i | − | 0.112929i | ||||||
\(868\) | −52.8522 | − | 16.7481i | −0.0608897 | − | 0.0192951i | ||||
\(869\) | 2088.54 | 2.40338 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 30.3370i | − | 0.0348301i | ||||||
\(872\) | 1124.13 | + | 557.389i | 1.28914 | + | 0.639207i | ||||
\(873\) | −286.631 | −0.328329 | ||||||||
\(874\) | −571.656 | − | 88.4086i | −0.654069 | − | 0.101154i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −97.4894 | + | 307.648i | −0.111289 | + | 0.351197i | ||||
\(877\) | −643.339 | −0.733567 | −0.366784 | − | 0.930306i | \(-0.619541\pi\) | ||||
−0.366784 | + | 0.930306i | \(0.619541\pi\) | |||||||
\(878\) | 155.125 | − | 1003.05i | 0.176680 | − | 1.14243i | ||||
\(879\) | − | 676.088i | − | 0.769155i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 353.918 | 0.401723 | 0.200861 | − | 0.979620i | \(-0.435626\pi\) | ||||
0.200861 | + | 0.979620i | \(0.435626\pi\) | |||||||
\(882\) | 289.901 | + | 44.8341i | 0.328686 | + | 0.0508323i | ||||
\(883\) | 1093.51i | 1.23840i | 0.785233 | + | 0.619200i | \(0.212543\pi\) | ||||
−0.785233 | + | 0.619200i | \(0.787457\pi\) | |||||||
\(884\) | 29.5365 | + | 9.35971i | 0.0334123 | + | 0.0105879i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 125.990 | − | 814.659i | 0.142201 | − | 0.919479i | ||||
\(887\) | − | 520.234i | − | 0.586510i | −0.956034 | − | 0.293255i | \(-0.905262\pi\) | ||
0.956034 | − | 0.293255i | \(-0.0947384\pi\) | |||||||
\(888\) | −313.633 | + | 632.529i | −0.353190 | + | 0.712307i | ||||
\(889\) | 8.93819 | 0.0100542 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 184.428i | 0.206990i | ||||||||
\(892\) | 99.9413 | − | 315.386i | 0.112042 | − | 0.353571i | ||||
\(893\) | 1017.96 | 1.13993 | ||||||||
\(894\) | −65.5804 | + | 424.048i | −0.0733562 | + | 0.474326i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 37.1236 | − | 20.1234i | 0.0414326 | − | 0.0224592i | ||||
\(897\) | −16.7669 | −0.0186922 | ||||||||
\(898\) | 1598.23 | + | 247.172i | 1.77977 | + | 0.275248i | ||||
\(899\) | − | 1004.85i | − | 1.11775i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 557.175 | 0.618397 | ||||||||
\(902\) | 292.567 | − | 1891.76i | 0.324354 | − | 2.09729i | ||||
\(903\) | 31.7622i | 0.0351741i | ||||||||
\(904\) | 707.588 | + | 350.850i | 0.782730 | + | 0.388109i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 260.508 | + | 40.2884i | 0.287536 | + | 0.0444685i | ||||
\(907\) | 567.834i | 0.626057i | 0.949744 | + | 0.313029i | \(0.101344\pi\) | ||||
−0.949744 | + | 0.313029i | \(0.898656\pi\) | |||||||
\(908\) | 436.851 | − | 1378.58i | 0.481114 | − | 1.51825i | ||||
\(909\) | −488.025 | −0.536881 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1180.19i | 1.29549i | 0.761858 | + | 0.647744i | \(0.224287\pi\) | ||||
−0.761858 | + | 0.647744i | \(0.775713\pi\) | |||||||
\(912\) | −282.063 | − | 198.718i | −0.309279 | − | 0.217893i | ||||
\(913\) | −120.680 | −0.132180 | ||||||||
\(914\) | −934.635 | − | 144.545i | −1.02258 | − | 0.158145i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 464.506 | + | 147.196i | 0.507103 | + | 0.160694i | ||||
\(917\) | −1.47072 | −0.00160384 | ||||||||
\(918\) | −29.5244 | + | 190.907i | −0.0321616 | + | 0.207959i | ||||
\(919\) | 54.5449i | 0.0593524i | 0.999560 | + | 0.0296762i | \(0.00944761\pi\) | ||||
−0.999560 | + | 0.0296762i | \(0.990552\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 104.324 | 0.113273 | ||||||||
\(922\) | −857.360 | − | 132.594i | −0.929892 | − | 0.143811i | ||||
\(923\) | 16.3686i | 0.0177341i | ||||||||
\(924\) | −14.1484 | + | 44.6483i | −0.0153122 | + | 0.0483207i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 162.197 | − | 1048.78i | 0.175159 | − | 1.13259i | ||||
\(927\) | 474.587i | 0.511960i | ||||||||
\(928\) | 550.936 | + | 531.228i | 0.593681 | + | 0.572444i | ||||
\(929\) | 175.428 | 0.188835 | 0.0944175 | − | 0.995533i | \(-0.469901\pi\) | ||||
0.0944175 | + | 0.995533i | \(0.469901\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 608.711i | − | 0.653825i | ||||||
\(932\) | 520.929 | + | 165.075i | 0.558937 | + | 0.177119i | ||||
\(933\) | −184.627 | −0.197885 | ||||||||
\(934\) | −108.595 | + | 702.184i | −0.116269 | + | 0.751803i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −8.96011 | − | 4.44277i | −0.00957277 | − | 0.00474655i | ||||
\(937\) | −335.374 | −0.357923 | −0.178962 | − | 0.983856i | \(-0.557274\pi\) | ||||
−0.178962 | + | 0.983856i | \(0.557274\pi\) | |||||||
\(938\) | 47.4694 | + | 7.34130i | 0.0506070 | + | 0.00782654i | ||||
\(939\) | 80.0629i | 0.0852640i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 709.182 | 0.753647 | 0.376823 | − | 0.926285i | \(-0.377016\pi\) | ||||
0.376823 | + | 0.926285i | \(0.377016\pi\) | |||||||
\(942\) | −18.1567 | + | 117.402i | −0.0192746 | + | 0.124631i | ||||
\(943\) | 1085.03i | 1.15061i | ||||||||
\(944\) | 224.211 | − | 318.248i | 0.237512 | − | 0.337127i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2251.39 | + | 348.186i | 2.37991 | + | 0.368061i | ||||
\(947\) | − | 992.486i | − | 1.04803i | −0.851708 | − | 0.524016i | \(-0.824433\pi\) | ||
0.851708 | − | 0.524016i | \(-0.175567\pi\) | |||||||
\(948\) | −673.132 | − | 213.306i | −0.710055 | − | 0.225007i | ||||
\(949\) | 19.4110 | 0.0204542 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 14.4935i | 0.0152402i | ||||||||
\(952\) | −21.7930 | + | 43.9518i | −0.0228919 | + | 0.0461679i | ||||
\(953\) | 1438.16 | 1.50908 | 0.754542 | − | 0.656251i | \(-0.227859\pi\) | ||||
0.754542 | + | 0.656251i | \(0.227859\pi\) | |||||||
\(954\) | −177.733 | − | 27.4871i | −0.186303 | − | 0.0288124i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −68.2260 | + | 215.301i | −0.0713661 | + | 0.225211i | ||||
\(957\) | −848.877 | −0.887018 | ||||||||
\(958\) | −167.704 | + | 1084.39i | −0.175057 | + | 1.13193i | ||||
\(959\) | − | 59.9425i | − | 0.0625052i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −804.245 | −0.836883 | ||||||||
\(962\) | 41.9660 | + | 6.49018i | 0.0436237 | + | 0.00674655i | ||||
\(963\) | 54.5482i | 0.0566440i | ||||||||
\(964\) | −8.54744 | − | 2.70857i | −0.00886664 | − | 0.00280971i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 4.05745 | − | 26.2358i | 0.00420026 | − | 0.0271592i | ||||
\(967\) | 1376.32i | 1.42329i | 0.702539 | + | 0.711646i | \(0.252050\pi\) | ||||
−0.702539 | + | 0.711646i | \(0.747950\pi\) | |||||||
\(968\) | 2142.46 | + | 1062.31i | 2.21328 | + | 1.09743i | ||||
\(969\) | 400.851 | 0.413675 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 652.667i | 0.672159i | 0.941834 | + | 0.336080i | \(0.109101\pi\) | ||||
−0.941834 | + | 0.336080i | \(0.890899\pi\) | |||||||
\(972\) | 18.8360 | − | 59.4408i | 0.0193786 | − | 0.0611531i | ||||
\(973\) | −73.7053 | −0.0757506 | ||||||||
\(974\) | 41.1490 | − | 266.072i | 0.0422474 | − | 0.273175i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −978.920 | − | 689.666i | −1.00299 | − | 0.706625i | ||||
\(977\) | 467.260 | 0.478260 | 0.239130 | − | 0.970988i | \(-0.423138\pi\) | ||||
0.239130 | + | 0.970988i | \(0.423138\pi\) | |||||||
\(978\) | −566.705 | − | 87.6428i | −0.579453 | − | 0.0896143i | ||||
\(979\) | − | 1250.22i | − | 1.27703i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 470.525 | 0.479638 | ||||||||
\(982\) | 231.336 | − | 1495.84i | 0.235577 | − | 1.52326i | ||||
\(983\) | 1044.27i | 1.06233i | 0.847268 | + | 0.531165i | \(0.178246\pi\) | ||||
−0.847268 | + | 0.531165i | \(0.821754\pi\) | |||||||
\(984\) | −287.503 | + | 579.830i | −0.292178 | + | 0.589259i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −878.697 | − | 135.894i | −0.891174 | − | 0.137823i | ||||
\(987\) | 46.7185i | 0.0473339i | ||||||||
\(988\) | −6.26905 | + | 19.7833i | −0.00634519 | + | 0.0200236i | ||||
\(989\) | −1291.30 | −1.30566 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1705.99i | 1.72148i | 0.509044 | + | 0.860740i | \(0.329999\pi\) | ||||
−0.509044 | + | 0.860740i | \(0.670001\pi\) | |||||||
\(992\) | 933.219 | − | 967.839i | 0.940745 | − | 0.975644i | ||||
\(993\) | 192.382 | 0.193738 | ||||||||
\(994\) | −25.6125 | − | 3.96106i | −0.0257671 | − | 0.00398497i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 38.8950 | + | 12.3253i | 0.0390512 | + | 0.0123748i | ||||
\(997\) | 1262.24 | 1.26604 | 0.633020 | − | 0.774136i | \(-0.281815\pi\) | ||||
0.633020 | + | 0.774136i | \(0.281815\pi\) | |||||||
\(998\) | −216.097 | + | 1397.30i | −0.216530 | + | 1.40010i | ||||
\(999\) | 264.756i | 0.265021i |
(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 | 300.3.c.e.151.1 | ✓ | 8 | |
3.2 | odd | 2 | 900.3.c.t.451.8 | 8 | |||
4.3 | odd | 2 | inner | 300.3.c.e.151.2 | yes | 8 | |
5.2 | odd | 4 | 300.3.f.c.199.9 | 16 | |||
5.3 | odd | 4 | 300.3.f.c.199.8 | 16 | |||
5.4 | even | 2 | 300.3.c.g.151.8 | yes | 8 | ||
12.11 | even | 2 | 900.3.c.t.451.7 | 8 | |||
15.2 | even | 4 | 900.3.f.h.199.8 | 16 | |||
15.8 | even | 4 | 900.3.f.h.199.9 | 16 | |||
15.14 | odd | 2 | 900.3.c.n.451.1 | 8 | |||
20.3 | even | 4 | 300.3.f.c.199.10 | 16 | |||
20.7 | even | 4 | 300.3.f.c.199.7 | 16 | |||
20.19 | odd | 2 | 300.3.c.g.151.7 | yes | 8 | ||
60.23 | odd | 4 | 900.3.f.h.199.7 | 16 | |||
60.47 | odd | 4 | 900.3.f.h.199.10 | 16 | |||
60.59 | even | 2 | 900.3.c.n.451.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.c.e.151.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
300.3.c.e.151.2 | yes | 8 | 4.3 | odd | 2 | inner | |
300.3.c.g.151.7 | yes | 8 | 20.19 | odd | 2 | ||
300.3.c.g.151.8 | yes | 8 | 5.4 | even | 2 | ||
300.3.f.c.199.7 | 16 | 20.7 | even | 4 | |||
300.3.f.c.199.8 | 16 | 5.3 | odd | 4 | |||
300.3.f.c.199.9 | 16 | 5.2 | odd | 4 | |||
300.3.f.c.199.10 | 16 | 20.3 | even | 4 | |||
900.3.c.n.451.1 | 8 | 15.14 | odd | 2 | |||
900.3.c.n.451.2 | 8 | 60.59 | even | 2 | |||
900.3.c.t.451.7 | 8 | 12.11 | even | 2 | |||
900.3.c.t.451.8 | 8 | 3.2 | odd | 2 | |||
900.3.f.h.199.7 | 16 | 60.23 | odd | 4 | |||
900.3.f.h.199.8 | 16 | 15.2 | even | 4 | |||
900.3.f.h.199.9 | 16 | 15.8 | even | 4 | |||
900.3.f.h.199.10 | 16 | 60.47 | odd | 4 |