Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,2,Mod(3,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.h (of order \(18\), 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: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 65.2 | ||
Root | \(0.984808 - 0.173648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.65 |
Dual form | 74.2.h.a.41.2 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | − | 0.173648i | 0.696364 | − | 0.122788i | ||||
\(3\) | −0.266044 | + | 1.50881i | −0.153601 | + | 0.871114i | 0.806453 | + | 0.591298i | \(0.201384\pi\) |
−0.960054 | + | 0.279815i | \(0.909727\pi\) | |||||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | −0.247315 | + | 0.294739i | −0.110603 | + | 0.131811i | −0.818506 | − | 0.574499i | \(-0.805197\pi\) |
0.707903 | + | 0.706310i | \(0.249641\pi\) | |||||||
\(6\) | 1.53209i | 0.625473i | ||||||||
\(7\) | −2.50048 | − | 2.09815i | −0.945091 | − | 0.793026i | 0.0333729 | − | 0.999443i | \(-0.489375\pi\) |
−0.978464 | + | 0.206417i | \(0.933820\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0.613341 | + | 0.223238i | 0.204447 | + | 0.0744126i | ||||
\(10\) | −0.192377 | + | 0.333207i | −0.0608350 | + | 0.105369i | ||||
\(11\) | −1.29236 | − | 2.23843i | −0.389661 | − | 0.674912i | 0.602743 | − | 0.797935i | \(-0.294074\pi\) |
−0.992404 | + | 0.123023i | \(0.960741\pi\) | |||||||
\(12\) | 0.266044 | + | 1.50881i | 0.0768004 | + | 0.435557i | ||||
\(13\) | −0.466831 | − | 1.28261i | −0.129476 | − | 0.355731i | 0.857968 | − | 0.513703i | \(-0.171727\pi\) |
−0.987444 | + | 0.157972i | \(0.949504\pi\) | |||||||
\(14\) | −2.82683 | − | 1.63207i | −0.755502 | − | 0.436189i | ||||
\(15\) | −0.378909 | − | 0.451566i | −0.0978339 | − | 0.116594i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −1.13965 | + | 3.13118i | −0.276407 | + | 0.759422i | 0.721356 | + | 0.692565i | \(0.243519\pi\) |
−0.997763 | + | 0.0668568i | \(0.978703\pi\) | |||||||
\(18\) | 0.642788 | + | 0.113341i | 0.151506 | + | 0.0267147i | ||||
\(19\) | −5.89485 | − | 1.03942i | −1.35237 | − | 0.238459i | −0.549939 | − | 0.835205i | \(-0.685349\pi\) |
−0.802431 | + | 0.596745i | \(0.796460\pi\) | |||||||
\(20\) | −0.131594 | + | 0.361551i | −0.0294253 | + | 0.0808452i | ||||
\(21\) | 3.83095 | − | 3.21455i | 0.835982 | − | 0.701472i | ||||
\(22\) | −1.66142 | − | 1.98001i | −0.354217 | − | 0.422139i | ||||
\(23\) | 6.53507 | + | 3.77303i | 1.36266 | + | 0.786730i | 0.989977 | − | 0.141230i | \(-0.0451057\pi\) |
0.372680 | + | 0.927960i | \(0.378439\pi\) | |||||||
\(24\) | 0.524005 | + | 1.43969i | 0.106962 | + | 0.293876i | ||||
\(25\) | 0.842535 | + | 4.77825i | 0.168507 | + | 0.955650i | ||||
\(26\) | −0.682461 | − | 1.18206i | −0.133842 | − | 0.231821i | ||||
\(27\) | −2.79813 | + | 4.84651i | −0.538501 | + | 0.932711i | ||||
\(28\) | −3.06729 | − | 1.11640i | −0.579663 | − | 0.210980i | ||||
\(29\) | 2.78251 | − | 1.60649i | 0.516700 | − | 0.298317i | −0.218883 | − | 0.975751i | \(-0.570241\pi\) |
0.735583 | + | 0.677434i | \(0.236908\pi\) | |||||||
\(30\) | −0.451566 | − | 0.378909i | −0.0824444 | − | 0.0691790i | ||||
\(31\) | − | 2.53737i | − | 0.455726i | −0.973693 | − | 0.227863i | \(-0.926826\pi\) | ||
0.973693 | − | 0.227863i | \(-0.0731738\pi\) | |||||||
\(32\) | 0.642788 | − | 0.766044i | 0.113630 | − | 0.135419i | ||||
\(33\) | 3.72120 | − | 1.35440i | 0.647777 | − | 0.235772i | ||||
\(34\) | −0.578618 | + | 3.28150i | −0.0992321 | + | 0.562773i | ||||
\(35\) | 1.23681 | − | 0.218083i | 0.209059 | − | 0.0368628i | ||||
\(36\) | 0.652704 | 0.108784 | ||||||||
\(37\) | 0.543196 | − | 6.05846i | 0.0893009 | − | 0.996005i | ||||
\(38\) | −5.98578 | −0.971022 | ||||||||
\(39\) | 2.05941 | − | 0.363130i | 0.329770 | − | 0.0581473i | ||||
\(40\) | −0.0668119 | + | 0.378909i | −0.0105639 | + | 0.0599108i | ||||
\(41\) | 7.77046 | − | 2.82822i | 1.21354 | − | 0.441693i | 0.345611 | − | 0.938378i | \(-0.387672\pi\) |
0.867931 | + | 0.496685i | \(0.165449\pi\) | |||||||
\(42\) | 3.21455 | − | 3.83095i | 0.496016 | − | 0.591129i | ||||
\(43\) | 4.33920i | 0.661722i | 0.943680 | + | 0.330861i | \(0.107339\pi\) | ||||
−0.943680 | + | 0.330861i | \(0.892661\pi\) | |||||||
\(44\) | −1.98001 | − | 1.66142i | −0.298497 | − | 0.250469i | ||||
\(45\) | −0.217486 | + | 0.125565i | −0.0324208 | + | 0.0187182i | ||||
\(46\) | 7.09097 | + | 2.58090i | 1.04551 | + | 0.380533i | ||||
\(47\) | −2.61455 | + | 4.52853i | −0.381371 | + | 0.660554i | −0.991258 | − | 0.131934i | \(-0.957881\pi\) |
0.609888 | + | 0.792488i | \(0.291215\pi\) | |||||||
\(48\) | 0.766044 | + | 1.32683i | 0.110569 | + | 0.191511i | ||||
\(49\) | 0.634616 | + | 3.59909i | 0.0906594 | + | 0.514155i | ||||
\(50\) | 1.65947 | + | 4.55935i | 0.234684 | + | 0.644790i | ||||
\(51\) | −4.42116 | − | 2.55256i | −0.619086 | − | 0.357430i | ||||
\(52\) | −0.877355 | − | 1.04559i | −0.121667 | − | 0.144997i | ||||
\(53\) | −6.64254 | + | 5.57375i | −0.912423 | + | 0.765614i | −0.972578 | − | 0.232575i | \(-0.925285\pi\) |
0.0601551 | + | 0.998189i | \(0.480840\pi\) | |||||||
\(54\) | −1.91404 | + | 5.25877i | −0.260467 | + | 0.715628i | ||||
\(55\) | 0.979373 | + | 0.172690i | 0.132059 | + | 0.0232855i | ||||
\(56\) | −3.21455 | − | 0.566812i | −0.429562 | − | 0.0757434i | ||||
\(57\) | 3.13658 | − | 8.61769i | 0.415450 | − | 1.14144i | ||||
\(58\) | 2.46128 | − | 2.06526i | 0.323182 | − | 0.271182i | ||||
\(59\) | 8.33530 | + | 9.93362i | 1.08516 | + | 1.29325i | 0.953315 | + | 0.301978i | \(0.0976469\pi\) |
0.131849 | + | 0.991270i | \(0.457909\pi\) | |||||||
\(60\) | −0.510503 | − | 0.294739i | −0.0659056 | − | 0.0380506i | ||||
\(61\) | −2.39847 | − | 6.58973i | −0.307092 | − | 0.843728i | −0.993220 | − | 0.116248i | \(-0.962913\pi\) |
0.686128 | − | 0.727481i | \(-0.259309\pi\) | |||||||
\(62\) | −0.440610 | − | 2.49882i | −0.0559576 | − | 0.317351i | ||||
\(63\) | −1.06526 | − | 1.84508i | −0.134210 | − | 0.232458i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0.493489 | + | 0.179615i | 0.0612098 | + | 0.0222785i | ||||
\(66\) | 3.42947 | − | 1.98001i | 0.422139 | − | 0.243722i | ||||
\(67\) | −8.60881 | − | 7.22365i | −1.05173 | − | 0.882509i | −0.0584586 | − | 0.998290i | \(-0.518619\pi\) |
−0.993275 | + | 0.115781i | \(0.963063\pi\) | |||||||
\(68\) | 3.33213i | 0.404080i | ||||||||
\(69\) | −7.43141 | + | 8.85641i | −0.894636 | + | 1.06619i | ||||
\(70\) | 1.18015 | − | 0.429540i | 0.141055 | − | 0.0513399i | ||||
\(71\) | 2.60464 | − | 14.7717i | 0.309114 | − | 1.75307i | −0.294363 | − | 0.955694i | \(-0.595107\pi\) |
0.603477 | − | 0.797380i | \(-0.293781\pi\) | |||||||
\(72\) | 0.642788 | − | 0.113341i | 0.0757532 | − | 0.0133573i | ||||
\(73\) | −15.0792 | −1.76489 | −0.882445 | − | 0.470416i | \(-0.844104\pi\) | ||||
−0.882445 | + | 0.470416i | \(0.844104\pi\) | |||||||
\(74\) | −0.517097 | − | 6.06074i | −0.0601113 | − | 0.704547i | ||||
\(75\) | −7.43364 | −0.858363 | ||||||||
\(76\) | −5.89485 | + | 1.03942i | −0.676185 | + | 0.119230i | ||||
\(77\) | −1.46505 | + | 8.30870i | −0.166958 | + | 0.946864i | ||||
\(78\) | 1.96507 | − | 0.715227i | 0.222500 | − | 0.0809835i | ||||
\(79\) | 0.940587 | − | 1.12095i | 0.105824 | − | 0.126117i | −0.710532 | − | 0.703664i | \(-0.751546\pi\) |
0.816357 | + | 0.577548i | \(0.195990\pi\) | |||||||
\(80\) | 0.384754i | 0.0430169i | ||||||||
\(81\) | −5.06805 | − | 4.25260i | −0.563116 | − | 0.472511i | ||||
\(82\) | 7.16130 | − | 4.13458i | 0.790833 | − | 0.456588i | ||||
\(83\) | 0.0104473 | + | 0.00380252i | 0.00114674 | + | 0.000417381i | 0.342593 | − | 0.939484i | \(-0.388695\pi\) |
−0.341447 | + | 0.939901i | \(0.610917\pi\) | |||||||
\(84\) | 2.50048 | − | 4.33095i | 0.272824 | − | 0.472546i | ||||
\(85\) | −0.641025 | − | 1.11029i | −0.0695290 | − | 0.120428i | ||||
\(86\) | 0.753494 | + | 4.27328i | 0.0812514 | + | 0.460799i | ||||
\(87\) | 1.68361 | + | 4.62569i | 0.180502 | + | 0.495926i | ||||
\(88\) | −2.23843 | − | 1.29236i | −0.238617 | − | 0.137766i | ||||
\(89\) | −0.612745 | − | 0.730241i | −0.0649509 | − | 0.0774054i | 0.732591 | − | 0.680669i | \(-0.238311\pi\) |
−0.797542 | + | 0.603264i | \(0.793867\pi\) | |||||||
\(90\) | −0.192377 | + | 0.161424i | −0.0202783 | + | 0.0170155i | ||||
\(91\) | −1.52380 | + | 4.18661i | −0.159738 | + | 0.438876i | ||||
\(92\) | 7.43141 | + | 1.31036i | 0.774778 | + | 0.136614i | ||||
\(93\) | 3.82842 | + | 0.675054i | 0.396989 | + | 0.0699998i | ||||
\(94\) | −1.78845 | + | 4.91374i | −0.184465 | + | 0.506814i | ||||
\(95\) | 1.76424 | − | 1.48038i | 0.181008 | − | 0.151883i | ||||
\(96\) | 0.984808 | + | 1.17365i | 0.100512 | + | 0.119785i | ||||
\(97\) | 12.8332 | + | 7.40927i | 1.30302 | + | 0.752297i | 0.980920 | − | 0.194410i | \(-0.0622791\pi\) |
0.322097 | + | 0.946707i | \(0.395612\pi\) | |||||||
\(98\) | 1.24995 | + | 3.43421i | 0.126264 | + | 0.346907i | ||||
\(99\) | −0.292954 | − | 1.66142i | −0.0294430 | − | 0.166979i | ||||
\(100\) | 2.42598 | + | 4.20192i | 0.242598 | + | 0.420192i | ||||
\(101\) | −0.636260 | + | 1.10204i | −0.0633103 | + | 0.109657i | −0.895943 | − | 0.444169i | \(-0.853499\pi\) |
0.832633 | + | 0.553825i | \(0.186832\pi\) | |||||||
\(102\) | −4.79724 | − | 1.74605i | −0.474997 | − | 0.172885i | ||||
\(103\) | 9.39301 | − | 5.42306i | 0.925521 | − | 0.534350i | 0.0401287 | − | 0.999195i | \(-0.487223\pi\) |
0.885392 | + | 0.464845i | \(0.153890\pi\) | |||||||
\(104\) | −1.04559 | − | 0.877355i | −0.102529 | − | 0.0860318i | ||||
\(105\) | 1.92414i | 0.187777i | ||||||||
\(106\) | −5.57375 | + | 6.64254i | −0.541371 | + | 0.645181i | ||||
\(107\) | 4.47254 | − | 1.62787i | 0.432377 | − | 0.157372i | −0.116657 | − | 0.993172i | \(-0.537218\pi\) |
0.549034 | + | 0.835800i | \(0.314996\pi\) | |||||||
\(108\) | −0.971782 | + | 5.51125i | −0.0935097 | + | 0.530320i | ||||
\(109\) | 9.49102 | − | 1.67352i | 0.909075 | − | 0.160294i | 0.300492 | − | 0.953784i | \(-0.402849\pi\) |
0.608583 | + | 0.793490i | \(0.291738\pi\) | |||||||
\(110\) | 0.994481 | 0.0948201 | ||||||||
\(111\) | 8.99657 | + | 2.43140i | 0.853917 | + | 0.230778i | ||||
\(112\) | −3.26414 | −0.308432 | ||||||||
\(113\) | −12.7581 | + | 2.24960i | −1.20018 | + | 0.211624i | −0.737777 | − | 0.675044i | \(-0.764124\pi\) |
−0.462405 | + | 0.886669i | \(0.653013\pi\) | |||||||
\(114\) | 1.59248 | − | 9.03143i | 0.149150 | − | 0.845871i | ||||
\(115\) | −2.72828 | + | 0.993013i | −0.254414 | + | 0.0925990i | ||||
\(116\) | 2.06526 | − | 2.46128i | 0.191754 | − | 0.228524i | ||||
\(117\) | − | 0.890890i | − | 0.0823628i | ||||||
\(118\) | 9.93362 | + | 8.33530i | 0.914464 | + | 0.767327i | ||||
\(119\) | 9.41935 | − | 5.43826i | 0.863470 | − | 0.498525i | ||||
\(120\) | −0.553928 | − | 0.201613i | −0.0505665 | − | 0.0184047i | ||||
\(121\) | 2.15962 | − | 3.74057i | 0.196329 | − | 0.340052i | ||||
\(122\) | −3.50632 | − | 6.07313i | −0.317447 | − | 0.549835i | ||||
\(123\) | 2.19996 | + | 12.4766i | 0.198364 | + | 1.12498i | ||||
\(124\) | −0.867833 | − | 2.38435i | −0.0779337 | − | 0.214121i | ||||
\(125\) | −3.28274 | − | 1.89529i | −0.293618 | − | 0.169520i | ||||
\(126\) | −1.36947 | − | 1.63207i | −0.122002 | − | 0.145396i | ||||
\(127\) | 8.61094 | − | 7.22543i | 0.764097 | − | 0.641154i | −0.175093 | − | 0.984552i | \(-0.556023\pi\) |
0.939190 | + | 0.343398i | \(0.111578\pi\) | |||||||
\(128\) | 0.342020 | − | 0.939693i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | −6.54704 | − | 1.15442i | −0.576435 | − | 0.101641i | ||||
\(130\) | 0.517182 | + | 0.0911931i | 0.0453598 | + | 0.00799816i | ||||
\(131\) | 2.86257 | − | 7.86484i | 0.250104 | − | 0.687154i | −0.749578 | − | 0.661916i | \(-0.769743\pi\) |
0.999681 | − | 0.0252378i | \(-0.00803431\pi\) | |||||||
\(132\) | 3.03355 | − | 2.54545i | 0.264036 | − | 0.221553i | ||||
\(133\) | 12.5591 | + | 14.9673i | 1.08901 | + | 1.29783i | ||||
\(134\) | −9.73239 | − | 5.61900i | −0.840751 | − | 0.485408i | ||||
\(135\) | −0.736434 | − | 2.02334i | −0.0633821 | − | 0.174141i | ||||
\(136\) | 0.578618 | + | 3.28150i | 0.0496161 | + | 0.281387i | ||||
\(137\) | 1.99206 | + | 3.45036i | 0.170194 | + | 0.294784i | 0.938487 | − | 0.345313i | \(-0.112227\pi\) |
−0.768294 | + | 0.640097i | \(0.778894\pi\) | |||||||
\(138\) | −5.78061 | + | 10.0123i | −0.492078 | + | 0.852304i | ||||
\(139\) | −4.80315 | − | 1.74820i | −0.407398 | − | 0.148281i | 0.130189 | − | 0.991489i | \(-0.458442\pi\) |
−0.537586 | + | 0.843209i | \(0.680664\pi\) | |||||||
\(140\) | 1.08763 | − | 0.627946i | 0.0919219 | − | 0.0530711i | ||||
\(141\) | −6.13711 | − | 5.14965i | −0.516838 | − | 0.433679i | ||||
\(142\) | − | 14.9995i | − | 1.25873i | ||||||
\(143\) | −2.26771 | + | 2.70256i | −0.189636 | + | 0.225999i | ||||
\(144\) | 0.613341 | − | 0.223238i | 0.0511117 | − | 0.0186031i | ||||
\(145\) | −0.214665 | + | 1.21742i | −0.0178269 | + | 0.101102i | ||||
\(146\) | −14.8501 | + | 2.61848i | −1.22901 | + | 0.216707i | ||||
\(147\) | −5.59918 | −0.461813 | ||||||||
\(148\) | −1.56168 | − | 5.87887i | −0.128369 | − | 0.483240i | ||||
\(149\) | −15.8700 | −1.30012 | −0.650060 | − | 0.759883i | \(-0.725256\pi\) | ||||
−0.650060 | + | 0.759883i | \(0.725256\pi\) | |||||||
\(150\) | −7.32071 | + | 1.29084i | −0.597733 | + | 0.105396i | ||||
\(151\) | −3.77998 | + | 21.4373i | −0.307611 | + | 1.74455i | 0.303344 | + | 0.952881i | \(0.401897\pi\) |
−0.610955 | + | 0.791665i | \(0.709214\pi\) | |||||||
\(152\) | −5.62480 | + | 2.04726i | −0.456231 | + | 0.166055i | ||||
\(153\) | −1.39799 | + | 1.66606i | −0.113021 | + | 0.134693i | ||||
\(154\) | 8.43688i | 0.679863i | ||||||||
\(155\) | 0.747863 | + | 0.627531i | 0.0600698 | + | 0.0504045i | ||||
\(156\) | 1.81102 | − | 1.04559i | 0.144997 | − | 0.0837143i | ||||
\(157\) | 9.16333 | + | 3.33518i | 0.731314 | + | 0.266176i | 0.680721 | − | 0.732543i | \(-0.261667\pi\) |
0.0505928 | + | 0.998719i | \(0.483889\pi\) | |||||||
\(158\) | 0.731647 | − | 1.26725i | 0.0582067 | − | 0.100817i | ||||
\(159\) | −6.64254 | − | 11.5052i | −0.526788 | − | 0.912423i | ||||
\(160\) | 0.0668119 | + | 0.378909i | 0.00528195 | + | 0.0299554i | ||||
\(161\) | −8.42442 | − | 23.1459i | −0.663937 | − | 1.82415i | ||||
\(162\) | −5.72951 | − | 3.30793i | −0.450153 | − | 0.259896i | ||||
\(163\) | 8.46213 | + | 10.0848i | 0.662805 | + | 0.789901i | 0.987785 | − | 0.155820i | \(-0.0498021\pi\) |
−0.324980 | + | 0.945721i | \(0.605358\pi\) | |||||||
\(164\) | 6.33454 | − | 5.31531i | 0.494644 | − | 0.415056i | ||||
\(165\) | −0.521113 | + | 1.43175i | −0.0405686 | + | 0.111461i | ||||
\(166\) | 0.0109489 | + | 0.00193059i | 0.000849801 | + | 0.000149843i | ||||
\(167\) | 5.51717 | + | 0.972826i | 0.426932 | + | 0.0752796i | 0.382986 | − | 0.923754i | \(-0.374896\pi\) |
0.0439461 | + | 0.999034i | \(0.486007\pi\) | |||||||
\(168\) | 1.71043 | − | 4.69936i | 0.131962 | − | 0.362563i | ||||
\(169\) | 8.53143 | − | 7.15872i | 0.656264 | − | 0.550671i | ||||
\(170\) | −0.824086 | − | 0.982108i | −0.0632045 | − | 0.0753242i | ||||
\(171\) | −3.38351 | − | 1.95347i | −0.258744 | − | 0.149386i | ||||
\(172\) | 1.48409 | + | 4.07751i | 0.113161 | + | 0.310908i | ||||
\(173\) | −1.88155 | − | 10.6708i | −0.143051 | − | 0.811285i | −0.968911 | − | 0.247409i | \(-0.920421\pi\) |
0.825860 | − | 0.563876i | \(-0.190690\pi\) | |||||||
\(174\) | 2.46128 | + | 4.26306i | 0.186589 | + | 0.323182i | ||||
\(175\) | 7.91874 | − | 13.7157i | 0.598601 | − | 1.03681i | ||||
\(176\) | −2.42884 | − | 0.884025i | −0.183081 | − | 0.0666359i | ||||
\(177\) | −17.2055 | + | 9.93362i | −1.29325 | + | 0.746657i | ||||
\(178\) | −0.730241 | − | 0.612745i | −0.0547339 | − | 0.0459272i | ||||
\(179\) | 6.07192i | 0.453837i | 0.973914 | + | 0.226918i | \(0.0728651\pi\) | ||||
−0.973914 | + | 0.226918i | \(0.927135\pi\) | |||||||
\(180\) | −0.161424 | + | 0.192377i | −0.0120318 | + | 0.0143390i | ||||
\(181\) | −20.2540 | + | 7.37185i | −1.50547 | + | 0.547945i | −0.957469 | − | 0.288535i | \(-0.906832\pi\) |
−0.547997 | + | 0.836480i | \(0.684610\pi\) | |||||||
\(182\) | −0.773654 | + | 4.38761i | −0.0573471 | + | 0.325231i | ||||
\(183\) | 10.5808 | − | 1.86567i | 0.782153 | − | 0.137915i | ||||
\(184\) | 7.54605 | 0.556302 | ||||||||
\(185\) | 1.65132 | + | 1.65845i | 0.121408 | + | 0.121932i | ||||
\(186\) | 3.88748 | 0.285044 | ||||||||
\(187\) | 8.48176 | − | 1.49556i | 0.620248 | − | 0.109366i | ||||
\(188\) | −0.908022 | + | 5.14965i | −0.0662243 | + | 0.375577i | ||||
\(189\) | 17.1654 | − | 6.24768i | 1.24860 | − | 0.454452i | ||||
\(190\) | 1.48038 | − | 1.76424i | 0.107398 | − | 0.127992i | ||||
\(191\) | 6.62693i | 0.479508i | 0.970834 | + | 0.239754i | \(0.0770668\pi\) | ||||
−0.970834 | + | 0.239754i | \(0.922933\pi\) | |||||||
\(192\) | 1.17365 | + | 0.984808i | 0.0847008 | + | 0.0710724i | ||||
\(193\) | −19.7925 | + | 11.4272i | −1.42469 | + | 0.822548i | −0.996695 | − | 0.0812309i | \(-0.974115\pi\) |
−0.428000 | + | 0.903779i | \(0.640782\pi\) | |||||||
\(194\) | 13.9249 | + | 5.06824i | 0.999747 | + | 0.363878i | ||||
\(195\) | −0.402296 | + | 0.696797i | −0.0288090 | + | 0.0498987i | ||||
\(196\) | 1.82730 | + | 3.16498i | 0.130522 | + | 0.226070i | ||||
\(197\) | −2.56236 | − | 14.5319i | −0.182561 | − | 1.03535i | −0.929049 | − | 0.369956i | \(-0.879373\pi\) |
0.746488 | − | 0.665398i | \(-0.231738\pi\) | |||||||
\(198\) | −0.577006 | − | 1.58531i | −0.0410061 | − | 0.112663i | ||||
\(199\) | −1.27720 | − | 0.737389i | −0.0905380 | − | 0.0522721i | 0.454047 | − | 0.890978i | \(-0.349980\pi\) |
−0.544585 | + | 0.838705i | \(0.683313\pi\) | |||||||
\(200\) | 3.11878 | + | 3.71682i | 0.220531 | + | 0.262819i | ||||
\(201\) | 13.1895 | − | 11.0673i | 0.930313 | − | 0.780625i | ||||
\(202\) | −0.435228 | + | 1.19578i | −0.0306225 | + | 0.0841347i | ||||
\(203\) | −10.3283 | − | 1.82115i | −0.724901 | − | 0.127820i | ||||
\(204\) | −5.02756 | − | 0.886494i | −0.351999 | − | 0.0620670i | ||||
\(205\) | −1.08817 | + | 2.98972i | −0.0760010 | + | 0.208811i | ||||
\(206\) | 8.30861 | − | 6.97175i | 0.578888 | − | 0.485745i | ||||
\(207\) | 3.16594 | + | 3.77303i | 0.220048 | + | 0.262243i | ||||
\(208\) | −1.18206 | − | 0.682461i | −0.0819609 | − | 0.0473202i | ||||
\(209\) | 5.29158 | + | 14.5385i | 0.366026 | + | 1.00565i | ||||
\(210\) | 0.334123 | + | 1.89491i | 0.0230567 | + | 0.130761i | ||||
\(211\) | 1.20976 | + | 2.09537i | 0.0832835 | + | 0.144251i | 0.904658 | − | 0.426137i | \(-0.140126\pi\) |
−0.821375 | + | 0.570389i | \(0.806793\pi\) | |||||||
\(212\) | −4.33561 | + | 7.50950i | −0.297771 | + | 0.515755i | ||||
\(213\) | 21.5947 | + | 7.85984i | 1.47965 | + | 0.538547i | ||||
\(214\) | 4.12192 | − | 2.37979i | 0.281769 | − | 0.162679i | ||||
\(215\) | −1.27893 | − | 1.07315i | −0.0872224 | − | 0.0731883i | ||||
\(216\) | 5.59627i | 0.380778i | ||||||||
\(217\) | −5.32379 | + | 6.34464i | −0.361402 | + | 0.430702i | ||||
\(218\) | 9.05623 | − | 3.29620i | 0.613365 | − | 0.223247i | ||||
\(219\) | 4.01174 | − | 22.7517i | 0.271089 | − | 1.53742i | ||||
\(220\) | 0.979373 | − | 0.172690i | 0.0660293 | − | 0.0116427i | ||||
\(221\) | 4.54809 | 0.305938 | ||||||||
\(222\) | 9.28210 | + | 0.832224i | 0.622974 | + | 0.0558552i | ||||
\(223\) | −6.94726 | −0.465223 | −0.232611 | − | 0.972570i | \(-0.574727\pi\) | ||||
−0.232611 | + | 0.972570i | \(0.574727\pi\) | |||||||
\(224\) | −3.21455 | + | 0.566812i | −0.214781 | + | 0.0378717i | ||||
\(225\) | −0.549925 | + | 3.11878i | −0.0366617 | + | 0.207919i | ||||
\(226\) | −12.1736 | + | 4.43084i | −0.809779 | + | 0.294735i | ||||
\(227\) | −14.0443 | + | 16.7373i | −0.932150 | + | 1.11089i | 0.0614692 | + | 0.998109i | \(0.480421\pi\) |
−0.993619 | + | 0.112785i | \(0.964023\pi\) | |||||||
\(228\) | − | 9.17075i | − | 0.607348i | ||||||
\(229\) | −3.25576 | − | 2.73191i | −0.215147 | − | 0.180530i | 0.528845 | − | 0.848719i | \(-0.322625\pi\) |
−0.743992 | + | 0.668189i | \(0.767070\pi\) | |||||||
\(230\) | −2.51440 | + | 1.45169i | −0.165794 | + | 0.0957215i | ||||
\(231\) | −12.1465 | − | 4.42097i | −0.799181 | − | 0.290878i | ||||
\(232\) | 1.60649 | − | 2.78251i | 0.105471 | − | 0.182681i | ||||
\(233\) | −8.67215 | − | 15.0206i | −0.568131 | − | 0.984032i | −0.996751 | − | 0.0805473i | \(-0.974333\pi\) |
0.428619 | − | 0.903485i | \(-0.359000\pi\) | |||||||
\(234\) | −0.154701 | − | 0.877355i | −0.0101131 | − | 0.0573545i | ||||
\(235\) | −0.688116 | − | 1.89058i | −0.0448877 | − | 0.123328i | ||||
\(236\) | 11.2301 | + | 6.48371i | 0.731019 | + | 0.422054i | ||||
\(237\) | 1.44106 | + | 1.71739i | 0.0936071 | + | 0.111557i | ||||
\(238\) | 8.33190 | − | 6.99130i | 0.540077 | − | 0.453178i | ||||
\(239\) | −6.27893 | + | 17.2512i | −0.406150 | + | 1.11589i | 0.553047 | + | 0.833150i | \(0.313465\pi\) |
−0.959197 | + | 0.282738i | \(0.908757\pi\) | |||||||
\(240\) | −0.580523 | − | 0.102362i | −0.0374726 | − | 0.00660742i | ||||
\(241\) | 23.1096 | + | 4.07485i | 1.48862 | + | 0.262484i | 0.858017 | − | 0.513621i | \(-0.171696\pi\) |
0.630604 | + | 0.776105i | \(0.282807\pi\) | |||||||
\(242\) | 1.47727 | − | 4.05876i | 0.0949624 | − | 0.260907i | ||||
\(243\) | −5.09627 | + | 4.27628i | −0.326926 | + | 0.274323i | ||||
\(244\) | −4.50764 | − | 5.37200i | −0.288572 | − | 0.343907i | ||||
\(245\) | −1.21774 | − | 0.703063i | −0.0777986 | − | 0.0449171i | ||||
\(246\) | 4.33308 | + | 11.9050i | 0.276267 | + | 0.759037i | ||||
\(247\) | 1.41873 | + | 8.04601i | 0.0902715 | + | 0.511955i | ||||
\(248\) | −1.26869 | − | 2.19743i | −0.0805617 | − | 0.139537i | ||||
\(249\) | −0.00851674 | + | 0.0147514i | −0.000539727 | + | 0.000934834i | ||||
\(250\) | −3.56199 | − | 1.29646i | −0.225280 | − | 0.0819951i | ||||
\(251\) | 5.28405 | − | 3.05074i | 0.333526 | − | 0.192561i | −0.323879 | − | 0.946098i | \(-0.604987\pi\) |
0.657405 | + | 0.753537i | \(0.271654\pi\) | |||||||
\(252\) | −1.63207 | − | 1.36947i | −0.102811 | − | 0.0862685i | ||||
\(253\) | − | 19.5044i | − | 1.22623i | ||||||
\(254\) | 7.22543 | − | 8.61094i | 0.453364 | − | 0.540298i | ||||
\(255\) | 1.84576 | − | 0.671801i | 0.115586 | − | 0.0420698i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 4.28106 | − | 0.754866i | 0.267045 | − | 0.0470873i | −0.0385222 | − | 0.999258i | \(-0.512265\pi\) |
0.305567 | + | 0.952170i | \(0.401154\pi\) | |||||||
\(258\) | −6.64804 | −0.413889 | ||||||||
\(259\) | −14.0698 | + | 14.0093i | −0.874255 | + | 0.870497i | ||||
\(260\) | 0.525160 | 0.0325690 | ||||||||
\(261\) | 2.06526 | − | 0.364161i | 0.127836 | − | 0.0225410i | ||||
\(262\) | 1.45336 | − | 8.24243i | 0.0897891 | − | 0.509219i | ||||
\(263\) | 3.81031 | − | 1.38684i | 0.234954 | − | 0.0855163i | −0.221860 | − | 0.975079i | \(-0.571213\pi\) |
0.456814 | + | 0.889562i | \(0.348991\pi\) | |||||||
\(264\) | 2.54545 | − | 3.03355i | 0.156662 | − | 0.186702i | ||||
\(265\) | − | 3.33629i | − | 0.204947i | ||||||
\(266\) | 14.9673 | + | 12.5591i | 0.917704 | + | 0.770045i | ||||
\(267\) | 1.26481 | − | 0.730241i | 0.0774054 | − | 0.0446900i | ||||
\(268\) | −10.5603 | − | 3.84362i | −0.645071 | − | 0.234787i | ||||
\(269\) | −4.39669 | + | 7.61528i | −0.268071 | + | 0.464312i | −0.968364 | − | 0.249544i | \(-0.919719\pi\) |
0.700293 | + | 0.713856i | \(0.253053\pi\) | |||||||
\(270\) | −1.07659 | − | 1.86472i | −0.0655194 | − | 0.113483i | ||||
\(271\) | −2.24218 | − | 12.7160i | −0.136203 | − | 0.772444i | −0.974015 | − | 0.226485i | \(-0.927276\pi\) |
0.837812 | − | 0.545959i | \(-0.183835\pi\) | |||||||
\(272\) | 1.13965 | + | 3.13118i | 0.0691017 | + | 0.189855i | ||||
\(273\) | −5.91141 | − | 3.41296i | −0.357775 | − | 0.206561i | ||||
\(274\) | 2.56095 | + | 3.05202i | 0.154713 | + | 0.184379i | ||||
\(275\) | 9.60693 | − | 8.06117i | 0.579319 | − | 0.486107i | ||||
\(276\) | −3.95417 | + | 10.8640i | −0.238013 | + | 0.653936i | ||||
\(277\) | 7.65829 | + | 1.35036i | 0.460142 | + | 0.0811355i | 0.398914 | − | 0.916988i | \(-0.369387\pi\) |
0.0612280 | + | 0.998124i | \(0.480498\pi\) | |||||||
\(278\) | −5.03375 | − | 0.887586i | −0.301904 | − | 0.0532338i | ||||
\(279\) | 0.566438 | − | 1.55627i | 0.0339117 | − | 0.0931717i | ||||
\(280\) | 0.962069 | − | 0.807272i | 0.0574946 | − | 0.0482437i | ||||
\(281\) | 0.149454 | + | 0.178113i | 0.00891569 | + | 0.0106253i | 0.770484 | − | 0.637459i | \(-0.220015\pi\) |
−0.761568 | + | 0.648085i | \(0.775570\pi\) | |||||||
\(282\) | −6.93811 | − | 4.00572i | −0.413158 | − | 0.238537i | ||||
\(283\) | −4.38915 | − | 12.0591i | −0.260908 | − | 0.716838i | −0.999107 | − | 0.0422550i | \(-0.986546\pi\) |
0.738199 | − | 0.674583i | \(-0.235676\pi\) | |||||||
\(284\) | −2.60464 | − | 14.7717i | −0.154557 | − | 0.876537i | ||||
\(285\) | 1.76424 | + | 3.05576i | 0.104505 | + | 0.181008i | ||||
\(286\) | −1.76397 | + | 3.05528i | −0.104306 | + | 0.180663i | ||||
\(287\) | −25.3639 | − | 9.23169i | −1.49718 | − | 0.544930i | ||||
\(288\) | 0.565258 | − | 0.326352i | 0.0333081 | − | 0.0192305i | ||||
\(289\) | 4.51731 | + | 3.79047i | 0.265724 | + | 0.222969i | ||||
\(290\) | 1.23620i | 0.0725925i | ||||||||
\(291\) | −14.5934 | + | 17.3917i | −0.855481 | + | 1.01952i | ||||
\(292\) | −14.1698 | + | 5.15740i | −0.829227 | + | 0.301814i | ||||
\(293\) | −4.27944 | + | 24.2699i | −0.250007 | + | 1.41786i | 0.558563 | + | 0.829462i | \(0.311353\pi\) |
−0.808570 | + | 0.588400i | \(0.799758\pi\) | |||||||
\(294\) | −5.51412 | + | 0.972288i | −0.321590 | + | 0.0567050i | ||||
\(295\) | −4.98927 | −0.290487 | ||||||||
\(296\) | −2.55881 | − | 5.51838i | −0.148728 | − | 0.320749i | ||||
\(297\) | 14.4648 | 0.839331 | ||||||||
\(298\) | −15.6289 | + | 2.75579i | −0.905357 | + | 0.159639i | ||||
\(299\) | 1.78854 | − | 10.1433i | 0.103434 | − | 0.586602i | ||||
\(300\) | −6.98534 | + | 2.54245i | −0.403299 | + | 0.146789i | ||||
\(301\) | 9.10429 | − | 10.8501i | 0.524762 | − | 0.625387i | ||||
\(302\) | 21.7680i | 1.25261i | ||||||||
\(303\) | −1.49349 | − | 1.25319i | −0.0857988 | − | 0.0719938i | ||||
\(304\) | −5.18384 | + | 2.99289i | −0.297314 | + | 0.171654i | ||||
\(305\) | 2.53543 | + | 0.922820i | 0.145178 | + | 0.0528405i | ||||
\(306\) | −1.08745 | + | 1.88351i | −0.0621651 | + | 0.107673i | ||||
\(307\) | −3.45566 | − | 5.98538i | −0.197225 | − | 0.341604i | 0.750403 | − | 0.660981i | \(-0.229860\pi\) |
−0.947628 | + | 0.319377i | \(0.896526\pi\) | |||||||
\(308\) | 1.46505 | + | 8.30870i | 0.0834789 | + | 0.473432i | ||||
\(309\) | 5.68342 | + | 15.6151i | 0.323319 | + | 0.888310i | ||||
\(310\) | 0.845471 | + | 0.488133i | 0.0480195 | + | 0.0277241i | ||||
\(311\) | 1.06612 | + | 1.27056i | 0.0604542 | + | 0.0720466i | 0.795424 | − | 0.606053i | \(-0.207248\pi\) |
−0.734970 | + | 0.678100i | \(0.762804\pi\) | |||||||
\(312\) | 1.60194 | − | 1.34419i | 0.0906919 | − | 0.0760996i | ||||
\(313\) | 8.87573 | − | 24.3859i | 0.501686 | − | 1.37837i | −0.387942 | − | 0.921684i | \(-0.626814\pi\) |
0.889628 | − | 0.456687i | \(-0.150964\pi\) | |||||||
\(314\) | 9.60327 | + | 1.69332i | 0.541944 | + | 0.0955593i | ||||
\(315\) | 0.807272 | + | 0.142344i | 0.0454846 | + | 0.00802017i | ||||
\(316\) | 0.500476 | − | 1.37505i | 0.0281540 | − | 0.0773524i | ||||
\(317\) | −8.69447 | + | 7.29553i | −0.488330 | + | 0.409758i | −0.853427 | − | 0.521212i | \(-0.825480\pi\) |
0.365097 | + | 0.930969i | \(0.381036\pi\) | |||||||
\(318\) | −8.53949 | − | 10.1770i | −0.478871 | − | 0.570696i | ||||
\(319\) | −7.19201 | − | 4.15231i | −0.402675 | − | 0.232485i | ||||
\(320\) | 0.131594 | + | 0.361551i | 0.00735632 | + | 0.0202113i | ||||
\(321\) | 1.26626 | + | 7.18132i | 0.0706758 | + | 0.400822i | ||||
\(322\) | −12.3157 | − | 21.3314i | −0.686326 | − | 1.18875i | ||||
\(323\) | 9.97269 | − | 17.2732i | 0.554896 | − | 0.961107i | ||||
\(324\) | −6.21688 | − | 2.26276i | −0.345382 | − | 0.125709i | ||||
\(325\) | 5.73530 | − | 3.31128i | 0.318137 | − | 0.183677i | ||||
\(326\) | 10.0848 | + | 8.46213i | 0.558544 | + | 0.468674i | ||||
\(327\) | 14.7654i | 0.816529i | ||||||||
\(328\) | 5.31531 | − | 6.33454i | 0.293489 | − | 0.349766i | ||||
\(329\) | 16.0391 | − | 5.83777i | 0.884266 | − | 0.321847i | ||||
\(330\) | −0.264576 | + | 1.50049i | −0.0145644 | + | 0.0825990i | ||||
\(331\) | −12.6426 | + | 2.22924i | −0.694903 | + | 0.122530i | −0.509933 | − | 0.860214i | \(-0.670330\pi\) |
−0.184970 | + | 0.982744i | \(0.559219\pi\) | |||||||
\(332\) | 0.0111178 | 0.000610170 | ||||||||
\(333\) | 1.68564 | − | 3.59464i | 0.0923726 | − | 0.196985i | ||||
\(334\) | 5.60228 | 0.306543 | ||||||||
\(335\) | 4.25818 | − | 0.750832i | 0.232649 | − | 0.0410224i | ||||
\(336\) | 0.868406 | − | 4.92498i | 0.0473754 | − | 0.268679i | ||||
\(337\) | −5.36736 | + | 1.95356i | −0.292379 | + | 0.106417i | −0.484045 | − | 0.875043i | \(-0.660833\pi\) |
0.191666 | + | 0.981460i | \(0.438611\pi\) | |||||||
\(338\) | 7.15872 | − | 8.53143i | 0.389383 | − | 0.464048i | ||||
\(339\) | − | 19.8481i | − | 1.07800i | ||||||
\(340\) | −0.982108 | − | 0.824086i | −0.0532623 | − | 0.0446924i | ||||
\(341\) | −5.67973 | + | 3.27919i | −0.307575 | + | 0.177578i | ||||
\(342\) | −3.67132 | − | 1.33625i | −0.198523 | − | 0.0722563i | ||||
\(343\) | −5.45991 | + | 9.45685i | −0.294808 | + | 0.510622i | ||||
\(344\) | 2.16960 | + | 3.75786i | 0.116977 | + | 0.202610i | ||||
\(345\) | −0.772427 | − | 4.38065i | −0.0415861 | − | 0.235846i | ||||
\(346\) | −3.70592 | − | 10.1819i | −0.199232 | − | 0.547385i | ||||
\(347\) | 28.0087 | + | 16.1708i | 1.50358 | + | 0.868095i | 0.999991 | + | 0.00415382i | \(0.00132221\pi\) |
0.503593 | + | 0.863941i | \(0.332011\pi\) | |||||||
\(348\) | 3.16416 | + | 3.77090i | 0.169617 | + | 0.202141i | ||||
\(349\) | −19.0990 | + | 16.0260i | −1.02235 | + | 0.857852i | −0.989921 | − | 0.141622i | \(-0.954768\pi\) |
−0.0324270 | + | 0.999474i | \(0.510324\pi\) | |||||||
\(350\) | 5.41674 | − | 14.8824i | 0.289537 | − | 0.795496i | ||||
\(351\) | 7.52242 | + | 1.32641i | 0.401517 | + | 0.0707983i | ||||
\(352\) | −2.54545 | − | 0.448831i | −0.135673 | − | 0.0239228i | ||||
\(353\) | 2.95544 | − | 8.12001i | 0.157302 | − | 0.432185i | −0.835858 | − | 0.548946i | \(-0.815029\pi\) |
0.993160 | + | 0.116762i | \(0.0372513\pi\) | |||||||
\(354\) | −15.2192 | + | 12.7704i | −0.808891 | + | 0.678740i | ||||
\(355\) | 3.70962 | + | 4.42095i | 0.196886 | + | 0.234640i | ||||
\(356\) | −0.825549 | − | 0.476631i | −0.0437540 | − | 0.0252614i | ||||
\(357\) | 5.69936 | + | 15.6589i | 0.301642 | + | 0.828755i | ||||
\(358\) | 1.05438 | + | 5.97968i | 0.0557256 | + | 0.316036i | ||||
\(359\) | −1.92924 | − | 3.34154i | −0.101821 | − | 0.176360i | 0.810614 | − | 0.585581i | \(-0.199134\pi\) |
−0.912435 | + | 0.409221i | \(0.865800\pi\) | |||||||
\(360\) | −0.125565 | + | 0.217486i | −0.00661787 | + | 0.0114625i | ||||
\(361\) | 15.8146 | + | 5.75606i | 0.832350 | + | 0.302951i | ||||
\(362\) | −18.6662 | + | 10.7769i | −0.981072 | + | 0.566422i | ||||
\(363\) | 5.06927 | + | 4.25362i | 0.266068 | + | 0.223257i | ||||
\(364\) | 4.45530i | 0.233521i | ||||||||
\(365\) | 3.72932 | − | 4.44444i | 0.195202 | − | 0.232632i | ||||
\(366\) | 10.0960 | − | 3.67466i | 0.527729 | − | 0.192078i | ||||
\(367\) | 1.81571 | − | 10.2974i | 0.0947794 | − | 0.537521i | −0.900035 | − | 0.435817i | \(-0.856460\pi\) |
0.994815 | − | 0.101704i | \(-0.0324294\pi\) | |||||||
\(368\) | 7.43141 | − | 1.31036i | 0.387389 | − | 0.0683071i | ||||
\(369\) | 5.39731 | 0.280973 | ||||||||
\(370\) | 1.91422 | + | 1.34651i | 0.0995157 | + | 0.0700015i | ||||
\(371\) | 28.3041 | 1.46947 | ||||||||
\(372\) | 3.82842 | − | 0.675054i | 0.198494 | − | 0.0349999i | ||||
\(373\) | 1.71315 | − | 9.71578i | 0.0887038 | − | 0.503064i | −0.907792 | − | 0.419421i | \(-0.862233\pi\) |
0.996496 | − | 0.0836434i | \(-0.0266557\pi\) | |||||||
\(374\) | 8.09320 | − | 2.94568i | 0.418489 | − | 0.152318i | ||||
\(375\) | 3.73300 | − | 4.44882i | 0.192771 | − | 0.229736i | ||||
\(376\) | 5.22909i | 0.269670i | ||||||||
\(377\) | −3.35945 | − | 2.81892i | −0.173021 | − | 0.145182i | ||||
\(378\) | 15.8197 | − | 9.13350i | 0.813677 | − | 0.469776i | ||||
\(379\) | −2.33157 | − | 0.848623i | −0.119765 | − | 0.0435908i | 0.281443 | − | 0.959578i | \(-0.409187\pi\) |
−0.401207 | + | 0.915987i | \(0.631409\pi\) | |||||||
\(380\) | 1.15153 | − | 1.99451i | 0.0590722 | − | 0.102316i | ||||
\(381\) | 8.61094 | + | 14.9146i | 0.441152 | + | 0.764097i | ||||
\(382\) | 1.15075 | + | 6.52625i | 0.0588777 | + | 0.333912i | ||||
\(383\) | 8.74336 | + | 24.0222i | 0.446765 | + | 1.22748i | 0.934963 | + | 0.354744i | \(0.115432\pi\) |
−0.488199 | + | 0.872733i | \(0.662346\pi\) | |||||||
\(384\) | 1.32683 | + | 0.766044i | 0.0677094 | + | 0.0390920i | ||||
\(385\) | −2.08657 | − | 2.48668i | −0.106341 | − | 0.126733i | ||||
\(386\) | −17.5075 | + | 14.6905i | −0.891108 | + | 0.747728i | ||||
\(387\) | −0.968674 | + | 2.66141i | −0.0492404 | + | 0.135287i | ||||
\(388\) | 14.5934 | + | 2.57321i | 0.740868 | + | 0.130635i | ||||
\(389\) | −6.27824 | − | 1.10702i | −0.318319 | − | 0.0561283i | 0.0122057 | − | 0.999926i | \(-0.496115\pi\) |
−0.330525 | + | 0.943797i | \(0.607226\pi\) | |||||||
\(390\) | −0.275187 | + | 0.756069i | −0.0139346 | + | 0.0382850i | ||||
\(391\) | −19.2617 | + | 16.1625i | −0.974107 | + | 0.817373i | ||||
\(392\) | 2.34914 | + | 2.79959i | 0.118649 | + | 0.141401i | ||||
\(393\) | 11.1050 | + | 6.41147i | 0.560173 | + | 0.323416i | ||||
\(394\) | −5.04687 | − | 13.8662i | −0.254258 | − | 0.698567i | ||||
\(395\) | 0.0977655 | + | 0.554456i | 0.00491911 | + | 0.0278977i | ||||
\(396\) | −0.843527 | − | 1.46103i | −0.0423888 | − | 0.0734196i | ||||
\(397\) | 18.7489 | − | 32.4740i | 0.940979 | − | 1.62982i | 0.177370 | − | 0.984144i | \(-0.443241\pi\) |
0.763609 | − | 0.645679i | \(-0.223426\pi\) | |||||||
\(398\) | −1.38584 | − | 0.504404i | −0.0694658 | − | 0.0252835i | ||||
\(399\) | −25.9241 | + | 14.9673i | −1.29783 | + | 0.749303i | ||||
\(400\) | 3.71682 | + | 3.11878i | 0.185841 | + | 0.155939i | ||||
\(401\) | 35.1464i | 1.75513i | 0.479462 | + | 0.877563i | \(0.340832\pi\) | ||||
−0.479462 | + | 0.877563i | \(0.659168\pi\) | |||||||
\(402\) | 11.0673 | − | 13.1895i | 0.551985 | − | 0.657830i | ||||
\(403\) | −3.25445 | + | 1.18452i | −0.162116 | + | 0.0590054i | ||||
\(404\) | −0.220971 | + | 1.25319i | −0.0109937 | + | 0.0623484i | ||||
\(405\) | 2.50681 | − | 0.442019i | 0.124565 | − | 0.0219641i | ||||
\(406\) | −10.4876 | −0.520490 | ||||||||
\(407\) | −14.2634 | + | 6.61379i | −0.707013 | + | 0.327834i | ||||
\(408\) | −5.10511 | −0.252741 | ||||||||
\(409\) | 0.443894 | − | 0.0782704i | 0.0219491 | − | 0.00387022i | −0.162663 | − | 0.986682i | \(-0.552008\pi\) |
0.184612 | + | 0.982811i | \(0.440897\pi\) | |||||||
\(410\) | −0.552478 | + | 3.13326i | −0.0272849 | + | 0.154741i | ||||
\(411\) | −5.73592 | + | 2.08770i | −0.282932 | + | 0.102979i | ||||
\(412\) | 6.97175 | − | 8.30861i | 0.343473 | − | 0.409336i | ||||
\(413\) | − | 42.3275i | − | 2.08280i | ||||||
\(414\) | 3.77303 | + | 3.16594i | 0.185434 | + | 0.155598i | ||||
\(415\) | −0.00370454 | + | 0.00213882i | −0.000181849 | + | 0.000104990i | ||||
\(416\) | −1.28261 | − | 0.466831i | −0.0628850 | − | 0.0228883i | ||||
\(417\) | 3.91556 | − | 6.78195i | 0.191746 | − | 0.332114i | ||||
\(418\) | 7.73578 | + | 13.3988i | 0.378369 | + | 0.655355i | ||||
\(419\) | −2.65878 | − | 15.0787i | −0.129890 | − | 0.736642i | −0.978283 | − | 0.207275i | \(-0.933541\pi\) |
0.848393 | − | 0.529367i | \(-0.177571\pi\) | |||||||
\(420\) | 0.658094 | + | 1.80810i | 0.0321117 | + | 0.0882262i | ||||
\(421\) | −19.3959 | − | 11.1982i | −0.945299 | − | 0.545769i | −0.0536815 | − | 0.998558i | \(-0.517096\pi\) |
−0.891617 | + | 0.452789i | \(0.850429\pi\) | |||||||
\(422\) | 1.55524 | + | 1.85346i | 0.0757079 | + | 0.0902252i | ||||
\(423\) | −2.61455 | + | 2.19386i | −0.127124 | + | 0.106669i | ||||
\(424\) | −2.96573 | + | 8.14828i | −0.144029 | + | 0.395716i | ||||
\(425\) | −15.9217 | − | 2.80743i | −0.772318 | − | 0.136180i | ||||
\(426\) | 22.6315 | + | 3.99054i | 1.09650 | + | 0.193343i | ||||
\(427\) | −7.82893 | + | 21.5098i | −0.378868 | + | 1.04093i | ||||
\(428\) | 3.64605 | − | 3.05940i | 0.176239 | − | 0.147882i | ||||
\(429\) | −3.47434 | − | 4.14056i | −0.167743 | − | 0.199908i | ||||
\(430\) | −1.44585 | − | 0.834763i | −0.0697252 | − | 0.0402559i | ||||
\(431\) | −0.0349134 | − | 0.0959236i | −0.00168172 | − | 0.00462048i | 0.938849 | − | 0.344329i | \(-0.111894\pi\) |
−0.940531 | + | 0.339709i | \(0.889671\pi\) | |||||||
\(432\) | 0.971782 | + | 5.51125i | 0.0467549 | + | 0.265160i | ||||
\(433\) | −3.96357 | − | 6.86510i | −0.190477 | − | 0.329916i | 0.754931 | − | 0.655804i | \(-0.227670\pi\) |
−0.945408 | + | 0.325888i | \(0.894337\pi\) | |||||||
\(434\) | −4.14117 | + | 7.17272i | −0.198783 | + | 0.344301i | ||||
\(435\) | −1.77976 | − | 0.647778i | −0.0853327 | − | 0.0310586i | ||||
\(436\) | 8.34627 | − | 4.81872i | 0.399714 | − | 0.230775i | ||||
\(437\) | −34.6015 | − | 29.0341i | −1.65521 | − | 1.38889i | ||||
\(438\) | − | 23.1027i | − | 1.10389i | ||||||
\(439\) | 4.86630 | − | 5.79944i | 0.232256 | − | 0.276792i | −0.637311 | − | 0.770607i | \(-0.719953\pi\) |
0.869567 | + | 0.493815i | \(0.164398\pi\) | |||||||
\(440\) | 0.934507 | − | 0.340133i | 0.0445509 | − | 0.0162152i | ||||
\(441\) | −0.414216 | + | 2.34914i | −0.0197246 | + | 0.111864i | ||||
\(442\) | 4.47900 | − | 0.789768i | 0.213044 | − | 0.0375654i | ||||
\(443\) | 15.9856 | 0.759499 | 0.379749 | − | 0.925089i | \(-0.376010\pi\) | ||||
0.379749 | + | 0.925089i | \(0.376010\pi\) | |||||||
\(444\) | 9.28560 | − | 0.792239i | 0.440675 | − | 0.0375980i | ||||
\(445\) | 0.366772 | 0.0173867 | ||||||||
\(446\) | −6.84171 | + | 1.20638i | −0.323964 | + | 0.0571237i | ||||
\(447\) | 4.22212 | − | 23.9448i | 0.199700 | − | 1.13255i | ||||
\(448\) | −3.06729 | + | 1.11640i | −0.144916 | + | 0.0527450i | ||||
\(449\) | −18.4321 | + | 21.9666i | −0.869866 | + | 1.03667i | 0.129119 | + | 0.991629i | \(0.458785\pi\) |
−0.998985 | + | 0.0450373i | \(0.985659\pi\) | |||||||
\(450\) | 3.16689i | 0.149289i | ||||||||
\(451\) | −16.3730 | − | 13.7386i | −0.770974 | − | 0.646924i | ||||
\(452\) | −11.2193 | + | 6.47746i | −0.527711 | + | 0.304674i | ||||
\(453\) | −31.3393 | − | 11.4066i | −1.47245 | − | 0.535928i | ||||
\(454\) | −10.9245 | + | 18.9218i | −0.512712 | + | 0.888043i | ||||
\(455\) | −0.857098 | − | 1.48454i | −0.0401814 | − | 0.0695962i | ||||
\(456\) | −1.59248 | − | 9.03143i | −0.0745749 | − | 0.422935i | ||||
\(457\) | 0.0359519 | + | 0.0987770i | 0.00168176 | + | 0.00462059i | 0.940531 | − | 0.339709i | \(-0.110329\pi\) |
−0.938849 | + | 0.344329i | \(0.888106\pi\) | |||||||
\(458\) | −3.68069 | − | 2.12505i | −0.171987 | − | 0.0992970i | ||||
\(459\) | −11.9864 | − | 14.2848i | −0.559476 | − | 0.666757i | ||||
\(460\) | −2.22412 | + | 1.86625i | −0.103700 | + | 0.0870146i | ||||
\(461\) | 8.19825 | − | 22.5245i | 0.381831 | − | 1.04907i | −0.588754 | − | 0.808312i | \(-0.700381\pi\) |
0.970585 | − | 0.240759i | \(-0.0773964\pi\) | |||||||
\(462\) | −12.7297 | − | 2.24458i | −0.592238 | − | 0.104427i | ||||
\(463\) | −20.4361 | − | 3.60344i | −0.949747 | − | 0.167466i | −0.322747 | − | 0.946485i | \(-0.604606\pi\) |
−0.627000 | + | 0.779019i | \(0.715717\pi\) | |||||||
\(464\) | 1.09890 | − | 3.01921i | 0.0510152 | − | 0.140163i | ||||
\(465\) | −1.14579 | + | 0.961434i | −0.0531348 | + | 0.0445854i | ||||
\(466\) | −11.1487 | − | 13.2865i | −0.516454 | − | 0.615485i | ||||
\(467\) | 15.1492 | + | 8.74642i | 0.701023 | + | 0.404736i | 0.807728 | − | 0.589555i | \(-0.200697\pi\) |
−0.106705 | + | 0.994291i | \(0.534030\pi\) | |||||||
\(468\) | −0.304702 | − | 0.837163i | −0.0140849 | − | 0.0386979i | ||||
\(469\) | 6.36983 | + | 36.1251i | 0.294132 | + | 1.66810i | ||||
\(470\) | −1.00596 | − | 1.74237i | −0.0464014 | − | 0.0803696i | ||||
\(471\) | −7.47002 | + | 12.9385i | −0.344200 | + | 0.596172i | ||||
\(472\) | 12.1854 | + | 4.43512i | 0.560878 | + | 0.204143i | ||||
\(473\) | 9.71300 | − | 5.60780i | 0.446604 | − | 0.257847i | ||||
\(474\) | 1.71739 | + | 1.44106i | 0.0788825 | + | 0.0661902i | ||||
\(475\) | − | 29.0428i | − | 1.33258i | ||||||
\(476\) | 6.99130 | − | 8.33190i | 0.320446 | − | 0.381892i | ||||
\(477\) | −5.31841 | + | 1.93574i | −0.243513 | + | 0.0886317i | ||||
\(478\) | −3.18790 | + | 18.0795i | −0.145811 | + | 0.826935i | ||||
\(479\) | −6.77593 | + | 1.19478i | −0.309600 | + | 0.0545909i | −0.326290 | − | 0.945270i | \(-0.605798\pi\) |
0.0166894 | + | 0.999861i | \(0.494687\pi\) | |||||||
\(480\) | −0.589478 | −0.0269059 | ||||||||
\(481\) | −8.02421 | + | 2.13157i | −0.365872 | + | 0.0971912i | ||||
\(482\) | 23.4661 | 1.06885 | ||||||||
\(483\) | 37.1641 | − | 6.55304i | 1.69103 | − | 0.298174i | ||||
\(484\) | 0.750028 | − | 4.25362i | 0.0340922 | − | 0.193346i | ||||
\(485\) | −5.35766 | + | 1.95003i | −0.243279 | + | 0.0885462i | ||||
\(486\) | −4.27628 | + | 5.09627i | −0.193976 | + | 0.231171i | ||||
\(487\) | 1.70810i | 0.0774014i | 0.999251 | + | 0.0387007i | \(0.0123219\pi\) | ||||
−0.999251 | + | 0.0387007i | \(0.987678\pi\) | |||||||
\(488\) | −5.37200 | − | 4.50764i | −0.243179 | − | 0.204051i | ||||
\(489\) | −17.4673 | + | 10.0848i | −0.789901 | + | 0.456049i | ||||
\(490\) | −1.32133 | − | 0.480924i | −0.0596915 | − | 0.0217259i | ||||
\(491\) | −5.31153 | + | 9.19983i | −0.239706 | + | 0.415183i | −0.960630 | − | 0.277831i | \(-0.910384\pi\) |
0.720924 | + | 0.693014i | \(0.243718\pi\) | |||||||
\(492\) | 6.33454 | + | 10.9717i | 0.285583 | + | 0.494644i | ||||
\(493\) | 1.85908 | + | 10.5434i | 0.0837288 | + | 0.474850i | ||||
\(494\) | 2.79435 | + | 7.67741i | 0.125724 | + | 0.345423i | ||||
\(495\) | 0.562138 | + | 0.324551i | 0.0252662 | + | 0.0145875i | ||||
\(496\) | −1.63099 | − | 1.94374i | −0.0732337 | − | 0.0872765i | ||||
\(497\) | −37.5060 | + | 31.4713i | −1.68237 | + | 1.41168i | ||||
\(498\) | −0.00582580 | + | 0.0160062i | −0.000261060 | + | 0.000717257i | ||||
\(499\) | 34.9319 | + | 6.15943i | 1.56376 | + | 0.275734i | 0.887459 | − | 0.460887i | \(-0.152469\pi\) |
0.676306 | + | 0.736621i | \(0.263580\pi\) | |||||||
\(500\) | −3.73300 | − | 0.658229i | −0.166945 | − | 0.0294369i | ||||
\(501\) | −2.93563 | + | 8.06557i | −0.131154 | + | 0.360343i | ||||
\(502\) | 4.67401 | − | 3.92196i | 0.208611 | − | 0.175046i | ||||
\(503\) | −19.3402 | − | 23.0487i | −0.862336 | − | 1.02769i | −0.999311 | − | 0.0371171i | \(-0.988183\pi\) |
0.136975 | − | 0.990574i | \(-0.456262\pi\) | |||||||
\(504\) | −1.84508 | − | 1.06526i | −0.0821864 | − | 0.0474504i | ||||
\(505\) | −0.167456 | − | 0.460081i | −0.00745168 | − | 0.0204733i | ||||
\(506\) | −3.38690 | − | 19.2081i | −0.150566 | − | 0.853903i | ||||
\(507\) | 8.53143 | + | 14.7769i | 0.378894 | + | 0.656264i | ||||
\(508\) | 5.62039 | − | 9.73480i | 0.249364 | − | 0.431912i | ||||
\(509\) | 22.6380 | + | 8.23957i | 1.00341 | + | 0.365213i | 0.790900 | − | 0.611946i | \(-0.209613\pi\) |
0.212513 | + | 0.977158i | \(0.431835\pi\) | |||||||
\(510\) | 1.70106 | − | 0.982108i | 0.0753242 | − | 0.0434885i | ||||
\(511\) | 37.7052 | + | 31.6385i | 1.66798 | + | 1.39960i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 21.5321 | − | 25.6610i | 0.950666 | − | 1.13296i | ||||
\(514\) | 4.08494 | − | 1.48680i | 0.180179 | − | 0.0655798i | ||||
\(515\) | −0.724650 | + | 4.10969i | −0.0319319 | + | 0.181095i | ||||
\(516\) | −6.54704 | + | 1.15442i | −0.288217 | + | 0.0508205i | ||||
\(517\) | 13.5157 | 0.594421 | ||||||||
\(518\) | −11.4234 | + | 16.2397i | −0.501913 | + | 0.713531i | ||||
\(519\) | 16.6008 | 0.728694 | ||||||||
\(520\) | 0.517182 | − | 0.0911931i | 0.0226799 | − | 0.00399908i | ||||
\(521\) | −0.130158 | + | 0.738160i | −0.00570231 | + | 0.0323394i | −0.987526 | − | 0.157455i | \(-0.949671\pi\) |
0.981824 | + | 0.189794i | \(0.0607822\pi\) | |||||||
\(522\) | 1.97065 | − | 0.717257i | 0.0862528 | − | 0.0313935i | ||||
\(523\) | 1.31038 | − | 1.56165i | 0.0572989 | − | 0.0682862i | −0.736634 | − | 0.676292i | \(-0.763586\pi\) |
0.793933 | + | 0.608006i | \(0.208030\pi\) | |||||||
\(524\) | − | 8.36959i | − | 0.365627i | ||||||
\(525\) | 18.5876 | + | 15.5969i | 0.811231 | + | 0.680704i | ||||
\(526\) | 3.51160 | − | 2.02743i | 0.153113 | − | 0.0884000i | ||||
\(527\) | 7.94496 | + | 2.89173i | 0.346088 | + | 0.125966i | ||||
\(528\) | 1.98001 | − | 3.42947i | 0.0861688 | − | 0.149249i | ||||
\(529\) | 16.9714 | + | 29.3954i | 0.737889 | + | 1.27806i | ||||
\(530\) | −0.579341 | − | 3.28561i | −0.0251650 | − | 0.142718i | ||||
\(531\) | 2.89482 | + | 7.95345i | 0.125624 | + | 0.345150i | ||||
\(532\) | 16.9208 | + | 9.76922i | 0.733609 | + | 0.423549i | ||||
\(533\) | −7.25498 | − | 8.64615i | −0.314248 | − | 0.374506i | ||||
\(534\) | 1.11879 | − | 0.938780i | 0.0484150 | − | 0.0406250i | ||||
\(535\) | −0.626331 | + | 1.72083i | −0.0270787 | + | 0.0743980i | ||||
\(536\) | −11.0673 | − | 1.95146i | −0.478033 | − | 0.0842902i | ||||
\(537\) | −9.16140 | − | 1.61540i | −0.395343 | − | 0.0697097i | ||||
\(538\) | −3.00751 | + | 8.26307i | −0.129663 | + | 0.356246i | ||||
\(539\) | 7.23615 | − | 6.07185i | 0.311683 | − | 0.261533i | ||||
\(540\) | −1.38404 | − | 1.64944i | −0.0595597 | − | 0.0709805i | ||||
\(541\) | −27.1442 | − | 15.6717i | −1.16702 | − | 0.673778i | −0.214042 | − | 0.976824i | \(-0.568663\pi\) |
−0.952976 | + | 0.303046i | \(0.901996\pi\) | |||||||
\(542\) | −4.41623 | − | 12.1335i | −0.189694 | − | 0.521179i | ||||
\(543\) | −5.73428 | − | 32.5207i | −0.246081 | − | 1.39560i | ||||
\(544\) | 1.66606 | + | 2.88571i | 0.0714319 | + | 0.123724i | ||||
\(545\) | −1.85402 | + | 3.21126i | −0.0794176 | + | 0.137555i | ||||
\(546\) | −6.41426 | − | 2.33460i | −0.274505 | − | 0.0999116i | ||||
\(547\) | 15.7325 | − | 9.08317i | 0.672674 | − | 0.388368i | −0.124415 | − | 0.992230i | \(-0.539706\pi\) |
0.797089 | + | 0.603862i | \(0.206372\pi\) | |||||||
\(548\) | 3.05202 | + | 2.56095i | 0.130376 | + | 0.109398i | ||||
\(549\) | − | 4.57718i | − | 0.195349i | ||||||
\(550\) | 8.06117 | − | 9.60693i | 0.343729 | − | 0.409641i | ||||
\(551\) | −18.0723 | + | 6.57778i | −0.769906 | + | 0.280223i | ||||
\(552\) | −2.00758 | + | 11.3856i | −0.0854485 | + | 0.484602i | ||||
\(553\) | −4.70383 | + | 0.829413i | −0.200027 | + | 0.0352702i | ||||
\(554\) | 7.77643 | 0.330389 | ||||||||
\(555\) | −2.94162 | + | 2.05032i | −0.124865 | + | 0.0870311i | ||||
\(556\) | −5.11140 | −0.216772 | ||||||||
\(557\) | 32.4061 | − | 5.71408i | 1.37309 | − | 0.242113i | 0.562051 | − | 0.827102i | \(-0.310012\pi\) |
0.811041 | + | 0.584989i | \(0.198901\pi\) | |||||||
\(558\) | 0.287588 | − | 1.63099i | 0.0121746 | − | 0.0690454i | ||||
\(559\) | 5.56549 | − | 2.02567i | 0.235395 | − | 0.0856768i | ||||
\(560\) | 0.807272 | − | 0.962069i | 0.0341135 | − | 0.0406548i | ||||
\(561\) | 13.1953i | 0.557105i | ||||||||
\(562\) | 0.178113 | + | 0.149454i | 0.00751323 | + | 0.00630435i | ||||
\(563\) | 29.7054 | − | 17.1504i | 1.25193 | − | 0.722804i | 0.280440 | − | 0.959872i | \(-0.409520\pi\) |
0.971493 | + | 0.237068i | \(0.0761864\pi\) | |||||||
\(564\) | −7.52829 | − | 2.74007i | −0.316998 | − | 0.115378i | ||||
\(565\) | 2.49223 | − | 4.31667i | 0.104849 | − | 0.181604i | ||||
\(566\) | −6.41650 | − | 11.1137i | −0.269706 | − | 0.467144i | ||||
\(567\) | 3.74995 | + | 21.2670i | 0.157483 | + | 0.893132i | ||||
\(568\) | −5.13014 | − | 14.0950i | −0.215256 | − | 0.591411i | ||||
\(569\) | 18.3769 | + | 10.6099i | 0.770398 | + | 0.444789i | 0.833017 | − | 0.553248i | \(-0.186612\pi\) |
−0.0626186 | + | 0.998038i | \(0.519945\pi\) | |||||||
\(570\) | 2.26807 | + | 2.70298i | 0.0949989 | + | 0.113215i | ||||
\(571\) | 12.5989 | − | 10.5717i | 0.527247 | − | 0.442413i | −0.339902 | − | 0.940461i | \(-0.610394\pi\) |
0.867150 | + | 0.498048i | \(0.165950\pi\) | |||||||
\(572\) | −1.20663 | + | 3.31518i | −0.0504516 | + | 0.138614i | ||||
\(573\) | −9.99880 | − | 1.76306i | −0.417706 | − | 0.0736528i | ||||
\(574\) | −26.5816 | − | 4.68705i | −1.10949 | − | 0.195634i | ||||
\(575\) | −12.5224 | + | 34.4051i | −0.522222 | + | 1.43479i | ||||
\(576\) | 0.500000 | − | 0.419550i | 0.0208333 | − | 0.0174812i | ||||
\(577\) | −23.3471 | − | 27.8240i | −0.971952 | − | 1.15833i | −0.987368 | − | 0.158446i | \(-0.949352\pi\) |
0.0154162 | − | 0.999881i | \(-0.495093\pi\) | |||||||
\(578\) | 5.10689 | + | 2.94846i | 0.212419 | + | 0.122640i | ||||
\(579\) | −11.9758 | − | 32.9033i | −0.497698 | − | 1.36742i | ||||
\(580\) | 0.214665 | + | 1.21742i | 0.00891347 | + | 0.0505508i | ||||
\(581\) | −0.0181451 | − | 0.0314282i | −0.000752784 | − | 0.00130386i | ||||
\(582\) | −11.3517 | + | 19.6616i | −0.470541 | + | 0.815001i | ||||
\(583\) | 21.0610 | + | 7.66558i | 0.872258 | + | 0.317476i | ||||
\(584\) | −13.0590 | + | 7.53961i | −0.540385 | + | 0.311991i | ||||
\(585\) | 0.262580 | + | 0.220331i | 0.0108563 | + | 0.00910956i | ||||
\(586\) | 24.6443i | 1.01805i | ||||||||
\(587\) | 24.1202 | − | 28.7453i | 0.995547 | − | 1.18645i | 0.0130981 | − | 0.999914i | \(-0.495831\pi\) |
0.982449 | − | 0.186532i | \(-0.0597249\pi\) | |||||||
\(588\) | −5.26151 | + | 1.91503i | −0.216981 | + | 0.0789747i | ||||
\(589\) | −2.63740 | + | 14.9574i | −0.108672 | + | 0.616310i | ||||
\(590\) | −4.91348 | + | 0.866378i | −0.202285 | + | 0.0356682i | ||||
\(591\) | 22.6076 | 0.929953 | ||||||||
\(592\) | −3.47819 | − | 4.99021i | −0.142953 | − | 0.205096i | ||||
\(593\) | −10.0159 | −0.411302 | −0.205651 | − | 0.978625i | \(-0.565931\pi\) | ||||
−0.205651 | + | 0.978625i | \(0.565931\pi\) | |||||||
\(594\) | 14.2450 | − | 2.51178i | 0.584480 | − | 0.103060i | ||||
\(595\) | −0.726682 | + | 4.12122i | −0.0297910 | + | 0.168953i | ||||
\(596\) | −14.9129 | + | 5.42786i | −0.610857 | + | 0.222334i | ||||
\(597\) | 1.45237 | − | 1.73087i | 0.0594417 | − | 0.0708398i | ||||
\(598\) | − | 10.2998i | − | 0.421189i | ||||||
\(599\) | −25.7808 | − | 21.6326i | −1.05337 | − | 0.883886i | −0.0599300 | − | 0.998203i | \(-0.519088\pi\) |
−0.993444 | + | 0.114317i | \(0.963532\pi\) | |||||||
\(600\) | −6.43772 | + | 3.71682i | −0.262819 | + | 0.151739i | ||||
\(601\) | 40.2252 | + | 14.6408i | 1.64082 | + | 0.597209i | 0.987182 | − | 0.159599i | \(-0.0510202\pi\) |
0.653637 | + | 0.756808i | \(0.273242\pi\) | |||||||
\(602\) | 7.08188 | − | 12.2662i | 0.288636 | − | 0.499932i | ||||
\(603\) | −3.66754 | − | 6.35237i | −0.149354 | − | 0.258688i | ||||
\(604\) | 3.77998 | + | 21.4373i | 0.153805 | + | 0.872273i | ||||
\(605\) | 0.568385 | + | 1.56163i | 0.0231081 | + | 0.0634891i | ||||
\(606\) | −1.68842 | − | 0.974807i | −0.0685872 | − | 0.0395988i | ||||
\(607\) | 3.45545 | + | 4.11804i | 0.140252 | + | 0.167146i | 0.831598 | − | 0.555378i | \(-0.187426\pi\) |
−0.691346 | + | 0.722524i | \(0.742982\pi\) | |||||||
\(608\) | −4.58538 | + | 3.84759i | −0.185962 | + | 0.156040i | ||||
\(609\) | 5.49555 | − | 15.0989i | 0.222691 | − | 0.611838i | ||||
\(610\) | 2.65715 | + | 0.468528i | 0.107585 | + | 0.0189701i | ||||
\(611\) | 7.02887 | + | 1.23938i | 0.284358 | + | 0.0501400i | ||||
\(612\) | −0.743857 | + | 2.04373i | −0.0300686 | + | 0.0826129i | ||||
\(613\) | −25.6002 | + | 21.4811i | −1.03398 | + | 0.867614i | −0.991319 | − | 0.131476i | \(-0.958028\pi\) |
−0.0426623 | + | 0.999090i | \(0.513584\pi\) | |||||||
\(614\) | −4.44251 | − | 5.29438i | −0.179285 | − | 0.213664i | ||||
\(615\) | −4.22143 | − | 2.43724i | −0.170224 | − | 0.0982791i | ||||
\(616\) | 2.88558 | + | 7.92807i | 0.116263 | + | 0.319431i | ||||
\(617\) | −0.878588 | − | 4.98272i | −0.0353706 | − | 0.200597i | 0.962002 | − | 0.273044i | \(-0.0880303\pi\) |
−0.997372 | + | 0.0724469i | \(0.976919\pi\) | |||||||
\(618\) | 8.30861 | + | 14.3909i | 0.334221 | + | 0.578888i | ||||
\(619\) | −17.8909 | + | 30.9879i | −0.719096 | + | 1.24551i | 0.242263 | + | 0.970211i | \(0.422110\pi\) |
−0.961358 | + | 0.275300i | \(0.911223\pi\) | |||||||
\(620\) | 0.917390 | + | 0.333902i | 0.0368433 | + | 0.0134098i | ||||
\(621\) | −36.5720 | + | 21.1149i | −1.46758 | + | 0.847310i | ||||
\(622\) | 1.27056 | + | 1.06612i | 0.0509446 | + | 0.0427476i | ||||
\(623\) | 3.11158i | 0.124663i | ||||||||
\(624\) | 1.34419 | − | 1.60194i | 0.0538105 | − | 0.0641289i | ||||
\(625\) | −21.4263 | + | 7.79853i | −0.857051 | + | 0.311941i | ||||
\(626\) | 4.50633 | − | 25.5566i | 0.180109 | − | 1.02145i | ||||
\(627\) | −23.3437 | + | 4.11612i | −0.932257 | + | 0.164382i | ||||
\(628\) | 9.75142 | 0.389124 | ||||||||
\(629\) | 18.3510 | + | 8.60539i | 0.731704 | + | 0.343119i | ||||
\(630\) | 0.819725 | 0.0326586 | ||||||||
\(631\) | 6.52046 | − | 1.14973i | 0.259576 | − | 0.0457702i | −0.0423458 | − | 0.999103i | \(-0.513483\pi\) |
0.301921 | + | 0.953333i | \(0.402372\pi\) | |||||||
\(632\) | 0.254098 | − | 1.44106i | 0.0101075 | − | 0.0573224i | ||||
\(633\) | −3.48337 | + | 1.26784i | −0.138452 | + | 0.0503923i | ||||
\(634\) | −7.29553 | + | 8.69447i | −0.289742 | + | 0.345301i | ||||
\(635\) | 4.32494i | 0.171630i | ||||||||
\(636\) | −10.1770 | − | 8.53949i | −0.403543 | − | 0.338613i | ||||
\(637\) | 4.31996 | − | 2.49413i | 0.171163 | − | 0.0988210i | ||||
\(638\) | −7.80379 | − | 2.84035i | −0.308955 | − | 0.112450i | ||||
\(639\) | 4.89513 | − | 8.47861i | 0.193648 | − | 0.335409i | ||||
\(640\) | 0.192377 | + | 0.333207i | 0.00760438 | + | 0.0131712i | ||||
\(641\) | −6.18098 | − | 35.0541i | −0.244134 | − | 1.38455i | −0.822495 | − | 0.568772i | \(-0.807418\pi\) |
0.578361 | − | 0.815781i | \(-0.303693\pi\) | |||||||
\(642\) | 2.49405 | + | 6.85234i | 0.0984322 | + | 0.270440i | ||||
\(643\) | 4.34087 | + | 2.50620i | 0.171187 | + | 0.0988350i | 0.583146 | − | 0.812368i | \(-0.301822\pi\) |
−0.411958 | + | 0.911203i | \(0.635155\pi\) | |||||||
\(644\) | −15.8327 | − | 18.8687i | −0.623897 | − | 0.743532i | ||||
\(645\) | 1.95944 | − | 1.64416i | 0.0771528 | − | 0.0647388i | ||||
\(646\) | 6.82172 | − | 18.7425i | 0.268397 | − | 0.737415i | ||||
\(647\) | −34.7348 | − | 6.12469i | −1.36557 | − | 0.240786i | −0.557647 | − | 0.830078i | \(-0.688296\pi\) |
−0.807920 | + | 0.589292i | \(0.799407\pi\) | |||||||
\(648\) | −6.51536 | − | 1.14883i | −0.255947 | − | 0.0451304i | ||||
\(649\) | 11.4635 | − | 31.4958i | 0.449983 | − | 1.23632i | ||||
\(650\) | 5.07317 | − | 4.25690i | 0.198986 | − | 0.166969i | ||||
\(651\) | −8.15651 | − | 9.72055i | −0.319679 | − | 0.380979i | ||||
\(652\) | 11.4010 | + | 6.58237i | 0.446498 | + | 0.257785i | ||||
\(653\) | 0.925218 | + | 2.54201i | 0.0362066 | + | 0.0994767i | 0.956479 | − | 0.291802i | \(-0.0942549\pi\) |
−0.920272 | + | 0.391279i | \(0.872033\pi\) | |||||||
\(654\) | 2.56399 | + | 14.5411i | 0.100260 | + | 0.568602i | ||||
\(655\) | 1.61012 | + | 2.78881i | 0.0629125 | + | 0.108968i | ||||
\(656\) | 4.13458 | − | 7.16130i | 0.161428 | − | 0.279602i | ||||
\(657\) | −9.24871 | − | 3.36625i | −0.360826 | − | 0.131330i | ||||
\(658\) | 14.7817 | − | 8.53424i | 0.576252 | − | 0.332699i | ||||
\(659\) | 21.3419 | + | 17.9080i | 0.831363 | + | 0.697597i | 0.955604 | − | 0.294655i | \(-0.0952049\pi\) |
−0.124240 | + | 0.992252i | \(0.539649\pi\) | |||||||
\(660\) | 1.52363i | 0.0593074i | ||||||||
\(661\) | −6.82156 | + | 8.12962i | −0.265328 | + | 0.316205i | −0.882216 | − | 0.470846i | \(-0.843949\pi\) |
0.616888 | + | 0.787051i | \(0.288393\pi\) | |||||||
\(662\) | −12.0635 | + | 4.39075i | −0.468860 | + | 0.170651i | ||||
\(663\) | −1.21000 | + | 6.86222i | −0.0469923 | + | 0.266507i | ||||
\(664\) | 0.0109489 | − | 0.00193059i | 0.000424900 | − | 7.49214e-5i | ||||
\(665\) | −7.51750 | −0.291516 | ||||||||
\(666\) | 1.03583 | − | 3.83274i | 0.0401376 | − | 0.148516i | ||||
\(667\) | 24.2452 | 0.938779 | ||||||||
\(668\) | 5.51717 | − | 0.972826i | 0.213466 | − | 0.0376398i | ||||
\(669\) | 1.84828 | − | 10.4821i | 0.0714586 | − | 0.405262i | ||||
\(670\) | 4.06311 | − | 1.47885i | 0.156972 | − | 0.0571330i | ||||
\(671\) | −11.6510 | + | 13.8851i | −0.449781 | + | 0.536028i | ||||
\(672\) | − | 5.00095i | − | 0.192916i | ||||||
\(673\) | −0.503594 | − | 0.422565i | −0.0194121 | − | 0.0162887i | 0.633030 | − | 0.774127i | \(-0.281811\pi\) |
−0.652442 | + | 0.757839i | \(0.726255\pi\) | |||||||
\(674\) | −4.94659 | + | 2.85591i | −0.190535 | + | 0.110006i | ||||
\(675\) | −25.5154 | − | 9.28683i | −0.982087 | − | 0.357450i | ||||
\(676\) | 5.56849 | − | 9.64491i | 0.214173 | − | 0.370958i | ||||
\(677\) | 16.0036 | + | 27.7190i | 0.615067 | + | 1.06533i | 0.990373 | + | 0.138426i | \(0.0442043\pi\) |
−0.375306 | + | 0.926901i | \(0.622462\pi\) | |||||||
\(678\) | −3.44659 | − | 19.5466i | −0.132365 | − | 0.750681i | ||||
\(679\) | −16.5434 | − | 45.4527i | −0.634879 | − | 1.74432i | ||||
\(680\) | −1.11029 | − | 0.641025i | −0.0425776 | − | 0.0245822i | ||||
\(681\) | −21.5171 | − | 25.6430i | −0.824535 | − | 0.982643i | ||||
\(682\) | −5.02402 | + | 4.21565i | −0.192380 | + | 0.161426i | ||||
\(683\) | −1.36647 | + | 3.75435i | −0.0522866 | + | 0.143656i | −0.963087 | − | 0.269191i | \(-0.913244\pi\) |
0.910800 | + | 0.412848i | \(0.135466\pi\) | |||||||
\(684\) | −3.84759 | − | 0.678433i | −0.147116 | − | 0.0259405i | ||||
\(685\) | −1.50962 | − | 0.266187i | −0.0576797 | − | 0.0101705i | ||||
\(686\) | −3.73480 | + | 10.2613i | −0.142595 | + | 0.391778i | ||||
\(687\) | 4.98812 | − | 4.18553i | 0.190309 | − | 0.159688i | ||||
\(688\) | 2.78918 | + | 3.32402i | 0.106337 | + | 0.126727i | ||||
\(689\) | 10.2499 | + | 5.91777i | 0.390489 | + | 0.225449i | ||||
\(690\) | −1.52138 | − | 4.17997i | −0.0579181 | − | 0.159129i | ||||
\(691\) | −0.763380 | − | 4.32934i | −0.0290404 | − | 0.164696i | 0.966839 | − | 0.255388i | \(-0.0822032\pi\) |
−0.995879 | + | 0.0906920i | \(0.971092\pi\) | |||||||
\(692\) | −5.41770 | − | 9.38373i | −0.205950 | − | 0.356716i | ||||
\(693\) | −2.75339 | + | 4.76901i | −0.104593 | + | 0.181160i | ||||
\(694\) | 30.3912 | + | 11.0615i | 1.15363 | + | 0.419888i | ||||
\(695\) | 1.70316 | − | 0.983317i | 0.0646044 | − | 0.0372993i | ||||
\(696\) | 3.77090 | + | 3.16416i | 0.142936 | + | 0.119937i | ||||
\(697\) | 27.5539i | 1.04368i | ||||||||
\(698\) | −16.0260 | + | 19.0990i | −0.606593 | + | 0.722909i | ||||
\(699\) | 24.9705 | − | 9.08850i | 0.944469 | − | 0.343759i | ||||
\(700\) | 2.75015 | − | 15.5969i | 0.103946 | − | 0.589507i | ||||
\(701\) | 14.1350 | − | 2.49237i | 0.533870 | − | 0.0941356i | 0.0997873 | − | 0.995009i | \(-0.468184\pi\) |
0.434082 | + | 0.900873i | \(0.357073\pi\) | |||||||
\(702\) | 7.63847 | 0.288295 | ||||||||
\(703\) | −9.49934 | + | 35.1491i | −0.358274 | + | 1.32567i | ||||
\(704\) | −2.58472 | −0.0974152 | ||||||||
\(705\) | 3.03561 | − | 0.535259i | 0.114328 | − | 0.0201590i | ||||
\(706\) | 1.50052 | − | 8.50986i | 0.0564727 | − | 0.320273i | ||||
\(707\) | 3.90319 | − | 1.42064i | 0.146794 | − | 0.0534288i | ||||
\(708\) | −12.7704 | + | 15.2192i | −0.479942 | + | 0.571972i | ||||
\(709\) | 6.87475i | 0.258187i | 0.991632 | + | 0.129093i | \(0.0412067\pi\) | ||||
−0.991632 | + | 0.129093i | \(0.958793\pi\) | |||||||
\(710\) | 4.42095 | + | 3.70962i | 0.165915 | + | 0.139219i | ||||
\(711\) | 0.827139 | − | 0.477549i | 0.0310201 | − | 0.0179095i | ||||
\(712\) | −0.895774 | − | 0.326035i | −0.0335705 | − | 0.0122187i | ||||
\(713\) | 9.57357 | − | 16.5819i | 0.358533 | − | 0.620998i | ||||
\(714\) | 8.33190 | + | 14.4313i | 0.311814 | + | 0.540077i | ||||
\(715\) | −0.235708 | − | 1.33677i | −0.00881499 | − | 0.0499923i | ||||
\(716\) | 2.07672 | + | 5.70574i | 0.0776107 | + | 0.213234i | ||||
\(717\) | −24.3584 | − | 14.0633i | −0.909681 | − | 0.525204i | ||||
\(718\) | −2.48018 | − | 2.95577i | −0.0925596 | − | 0.110308i | ||||
\(719\) | −13.0967 | + | 10.9894i | −0.488424 | + | 0.409836i | −0.853461 | − | 0.521157i | \(-0.825501\pi\) |
0.365037 | + | 0.930993i | \(0.381056\pi\) | |||||||
\(720\) | −0.0858917 | + | 0.235986i | −0.00320100 | + | 0.00879466i | ||||
\(721\) | −34.8654 | − | 6.14771i | −1.29845 | − | 0.228953i | ||||
\(722\) | 16.5739 | + | 2.92243i | 0.616817 | + | 0.108762i | ||||
\(723\) | −12.2964 | + | 33.7840i | −0.457307 | + | 1.25644i | ||||
\(724\) | −16.5112 | + | 13.8545i | −0.613634 | + | 0.514900i | ||||
\(725\) | 10.0206 | + | 11.9420i | 0.372154 | + | 0.443516i | ||||
\(726\) | 5.73089 | + | 3.30873i | 0.212693 | + | 0.122799i | ||||
\(727\) | −14.5792 | − | 40.0561i | −0.540713 | − | 1.48560i | −0.845919 | − | 0.533311i | \(-0.820948\pi\) |
0.305206 | − | 0.952286i | \(-0.401275\pi\) | |||||||
\(728\) | 0.773654 | + | 4.38761i | 0.0286735 | + | 0.162616i | ||||
\(729\) | −15.0201 | − | 26.0155i | −0.556299 | − | 0.963538i | ||||
\(730\) | 2.90090 | − | 5.02451i | 0.107367 | − | 0.185965i | ||||
\(731\) | −13.5868 | − | 4.94519i | −0.502526 | − | 0.182904i | ||||
\(732\) | 9.30457 | − | 5.37200i | 0.343907 | − | 0.198555i | ||||
\(733\) | 32.6482 | + | 27.3951i | 1.20589 | + | 1.01186i | 0.999442 | + | 0.0334033i | \(0.0106346\pi\) |
0.206447 | + | 0.978458i | \(0.433810\pi\) | |||||||
\(734\) | − | 10.4563i | − | 0.385948i | ||||||
\(735\) | 1.38476 | − | 1.65030i | 0.0510778 | − | 0.0608722i | ||||
\(736\) | 7.09097 | − | 2.58090i | 0.261377 | − | 0.0951333i | ||||
\(737\) | −5.04397 | + | 28.6058i | −0.185797 | + | 1.05371i | ||||
\(738\) | 5.31531 | − | 0.937232i | 0.195659 | − | 0.0345000i | ||||
\(739\) | 1.69175 | 0.0622321 | 0.0311161 | − | 0.999516i | \(-0.490094\pi\) | ||||
0.0311161 | + | 0.999516i | \(0.490094\pi\) | |||||||
\(740\) | 2.11896 | + | 0.993649i | 0.0778945 | + | 0.0365272i | ||||
\(741\) | −12.5174 | −0.459837 | ||||||||
\(742\) | 27.8741 | − | 4.91495i | 1.02329 | − | 0.180434i | ||||
\(743\) | −2.22382 | + | 12.6119i | −0.0815839 | + | 0.462685i | 0.916458 | + | 0.400132i | \(0.131036\pi\) |
−0.998042 | + | 0.0625538i | \(0.980076\pi\) | |||||||
\(744\) | 3.65304 | − | 1.32960i | 0.133927 | − | 0.0487454i | ||||
\(745\) | 3.92489 | − | 4.67751i | 0.143797 | − | 0.171371i | ||||
\(746\) | − | 9.86566i | − | 0.361208i | ||||||
\(747\) | 0.00555891 | + | 0.00466448i | 0.000203390 | + | 0.000170664i | ||||
\(748\) | 7.45873 | − | 4.30630i | 0.272718 | − | 0.157454i | ||||
\(749\) | −14.5990 | − | 5.31360i | −0.533436 | − | 0.194155i | ||||
\(750\) | 2.90376 | − | 5.02946i | 0.106030 | − | 0.183650i | ||||
\(751\) | 24.2360 | + | 41.9780i | 0.884384 | + | 1.53180i | 0.846418 | + | 0.532520i | \(0.178755\pi\) |
0.0379668 | + | 0.999279i | \(0.487912\pi\) | |||||||
\(752\) | 0.908022 | + | 5.14965i | 0.0331122 | + | 0.187788i | ||||
\(753\) | 3.19721 | + | 8.78427i | 0.116513 | + | 0.320117i | ||||
\(754\) | −3.79792 | − | 2.19273i | −0.138312 | − | 0.0798544i | ||||
\(755\) | −5.38357 | − | 6.41589i | −0.195928 | − | 0.233498i | ||||
\(756\) | 13.9933 | − | 11.7418i | 0.508933 | − | 0.427045i | ||||
\(757\) | 10.9913 | − | 30.1984i | 0.399486 | − | 1.09758i | −0.563049 | − | 0.826424i | \(-0.690372\pi\) |
0.962535 | − | 0.271156i | \(-0.0874060\pi\) | |||||||
\(758\) | −2.44351 | − | 0.430857i | −0.0887524 | − | 0.0156494i | ||||
\(759\) | 29.4285 | + | 5.18904i | 1.06819 | + | 0.188350i | ||||
\(760\) | 0.787692 | − | 2.16417i | 0.0285726 | − | 0.0785025i | ||||
\(761\) | 7.94619 | − | 6.66765i | 0.288049 | − | 0.241702i | −0.487300 | − | 0.873235i | \(-0.662018\pi\) |
0.775349 | + | 0.631533i | \(0.217574\pi\) | |||||||
\(762\) | 11.0700 | + | 13.1927i | 0.401024 | + | 0.477922i | ||||
\(763\) | −27.2434 | − | 15.7290i | −0.986277 | − | 0.569427i | ||||
\(764\) | 2.26654 | + | 6.22728i | 0.0820007 | + | 0.225295i | ||||
\(765\) | −0.145309 | − | 0.824086i | −0.00525365 | − | 0.0297949i | ||||
\(766\) | 12.7819 | + | 22.1390i | 0.461830 | + | 0.799913i | ||||
\(767\) | 8.84976 | − | 15.3282i | 0.319546 | − | 0.553471i | ||||
\(768\) | 1.43969 | + | 0.524005i | 0.0519504 | + | 0.0189084i | ||||
\(769\) | 29.3819 | − | 16.9637i | 1.05954 | − | 0.611725i | 0.134234 | − | 0.990950i | \(-0.457143\pi\) |
0.925305 | + | 0.379225i | \(0.123809\pi\) | |||||||
\(770\) | −2.48668 | − | 2.08657i | −0.0896136 | − | 0.0751947i | ||||
\(771\) | 6.66015i | 0.239859i | ||||||||
\(772\) | −14.6905 | + | 17.5075i | −0.528724 | + | 0.630108i | ||||
\(773\) | 27.2363 | − | 9.91322i | 0.979623 | − | 0.356554i | 0.197930 | − | 0.980216i | \(-0.436578\pi\) |
0.781694 | + | 0.623662i | \(0.214356\pi\) | |||||||
\(774\) | −0.491808 | + | 2.78918i | −0.0176777 | + | 0.100255i | ||||
\(775\) | 12.1242 | − | 2.13782i | 0.435514 | − | 0.0767929i | ||||
\(776\) | 14.8185 | 0.531954 | ||||||||
\(777\) | −17.3943 | − | 24.9558i | −0.624016 | − | 0.895284i | ||||
\(778\) | −6.37509 | −0.228558 | ||||||||
\(779\) | −48.7454 | + | 8.59512i | −1.74648 | + | 0.307952i | ||||
\(780\) | −0.139716 | + | 0.792368i | −0.00500263 | + | 0.0283713i | ||||
\(781\) | −36.4315 | + | 13.2600i | −1.30362 | + | 0.474479i | ||||
\(782\) | −16.1625 | + | 19.2617i | −0.577970 | + | 0.688798i | ||||
\(783\) | 17.9806i | 0.642576i | ||||||||
\(784\) | 2.79959 | + | 2.34914i | 0.0999854 | + | 0.0838977i | ||||
\(785\) | −3.24924 | + | 1.87595i | −0.115970 | + | 0.0669555i | ||||
\(786\) | 12.0496 | + | 4.38571i | 0.429796 | + | 0.156433i | ||||
\(787\) | 8.35500 | − | 14.4713i | 0.297823 | − | 0.515845i | −0.677814 | − | 0.735233i | \(-0.737073\pi\) |
0.975638 | + | 0.219388i | \(0.0704060\pi\) | |||||||
\(788\) | −7.37803 | − | 12.7791i | −0.262832 | − | 0.455238i | ||||
\(789\) | 1.07877 | + | 6.11801i | 0.0384052 | + | 0.217807i | ||||
\(790\) | 0.192560 | + | 0.529055i | 0.00685099 | + | 0.0188229i | ||||
\(791\) | 36.6213 | + | 21.1433i | 1.30210 | + | 0.751771i | ||||
\(792\) | −1.08442 | − | 1.29236i | −0.0385331 | − | 0.0459219i | ||||
\(793\) | −7.33236 | + | 6.15258i | −0.260380 | + | 0.218484i | ||||
\(794\) | 12.8250 | − | 35.2364i | 0.455142 | − | 1.25049i | ||||
\(795\) | 5.03384 | + | 0.887602i | 0.178532 | + | 0.0314800i | ||||
\(796\) | −1.45237 | − | 0.256093i | −0.0514780 | − | 0.00907696i | ||||
\(797\) | 1.78348 | − | 4.90007i | 0.0631741 | − | 0.173569i | −0.904090 | − | 0.427343i | \(-0.859450\pi\) |
0.967264 | + | 0.253774i | \(0.0816719\pi\) | |||||||
\(798\) | −22.9312 | + | 19.2416i | −0.811757 | + | 0.681145i | ||||
\(799\) | −11.1999 | − | 13.3476i | −0.396225 | − | 0.472203i | ||||
\(800\) | 4.20192 | + | 2.42598i | 0.148560 | + | 0.0857714i | ||||
\(801\) | −0.212804 | − | 0.584675i | −0.00751907 | − | 0.0206585i | ||||
\(802\) | 6.10310 | + | 34.6124i | 0.215508 | + | 1.22221i | ||||
\(803\) | 19.4878 | + | 33.7538i | 0.687708 | + | 1.19115i | ||||
\(804\) | 8.60881 | − | 14.9109i | 0.303609 | − | 0.525867i | ||||
\(805\) | 8.90549 | + | 3.24133i | 0.313877 | + | 0.114242i | ||||
\(806\) | −2.99932 | + | 1.73166i | −0.105647 | + | 0.0609951i | ||||
\(807\) | −10.3203 | − | 8.65978i | −0.363293 | − | 0.304839i | ||||
\(808\) | 1.27252i | 0.0447671i | ||||||||
\(809\) | 32.5001 | − | 38.7321i | 1.14264 | − | 1.36175i | 0.220274 | − | 0.975438i | \(-0.429305\pi\) |
0.922369 | − | 0.386310i | \(-0.126251\pi\) | |||||||
\(810\) | 2.39197 | − | 0.870607i | 0.0840454 | − | 0.0305900i | ||||
\(811\) | 6.26321 | − | 35.5205i | 0.219931 | − | 1.24729i | −0.652210 | − | 0.758038i | \(-0.726158\pi\) |
0.872141 | − | 0.489254i | \(-0.162731\pi\) | |||||||
\(812\) | −10.3283 | + | 1.82115i | −0.362451 | + | 0.0639098i | ||||
\(813\) | 19.7826 | 0.693808 | ||||||||
\(814\) | −12.8983 | + | 8.99014i | −0.452084 | + | 0.315104i | ||||
\(815\) | −5.06519 | −0.177426 | ||||||||
\(816\) | −5.02756 | + | 0.886494i | −0.176000 | + | 0.0310335i | ||||
\(817\) | 4.51025 | − | 25.5789i | 0.157794 | − | 0.894893i | ||||
\(818\) | 0.423558 | − | 0.154163i | 0.0148094 | − | 0.00539017i | ||||
\(819\) | −1.86922 | + | 2.22765i | −0.0653158 | + | 0.0778403i | ||||
\(820\) | 3.18159i | 0.111106i | ||||||||
\(821\) | 39.1705 | + | 32.8679i | 1.36706 | + | 1.14710i | 0.973731 | + | 0.227701i | \(0.0731208\pi\) |
0.393328 | + | 0.919398i | \(0.371324\pi\) | |||||||
\(822\) | −5.28625 | + | 3.05202i | −0.184379 | + | 0.106451i | ||||
\(823\) | −7.59472 | − | 2.76425i | −0.264735 | − | 0.0963558i | 0.206242 | − | 0.978501i | \(-0.433877\pi\) |
−0.470978 | + | 0.882145i | \(0.656099\pi\) | |||||||
\(824\) | 5.42306 | − | 9.39301i | 0.188921 | − | 0.327221i | ||||
\(825\) | 9.60693 | + | 16.6397i | 0.334470 | + | 0.579319i | ||||
\(826\) | −7.35009 | − | 41.6844i | −0.255742 | − | 1.45039i | ||||
\(827\) | 8.84209 | + | 24.2934i | 0.307469 | + | 0.844765i | 0.993148 | + | 0.116861i | \(0.0372833\pi\) |
−0.685679 | + | 0.727904i | \(0.740495\pi\) | |||||||
\(828\) | 4.26546 | + | 2.46267i | 0.148235 | + | 0.0855836i | ||||
\(829\) | 5.26941 | + | 6.27984i | 0.183014 | + | 0.218108i | 0.849749 | − | 0.527187i | \(-0.176753\pi\) |
−0.666735 | + | 0.745295i | \(0.732309\pi\) | |||||||
\(830\) | −0.00327685 | + | 0.00274961i | −0.000113741 | + | 9.54403e-5i | ||||
\(831\) | −4.07489 | + | 11.1957i | −0.141356 | + | 0.388373i | ||||
\(832\) | −1.34419 | − | 0.237016i | −0.0466013 | − | 0.00821706i | ||||
\(833\) | −11.9926 | − | 2.11462i | −0.415519 | − | 0.0732673i | ||||
\(834\) | 2.67840 | − | 7.35885i | 0.0927454 | − | 0.254816i | ||||
\(835\) | −1.65121 | + | 1.38553i | −0.0571425 | + | 0.0479483i | ||||
\(836\) | 9.94492 | + | 11.8519i | 0.343952 | + | 0.409906i | ||||
\(837\) | 12.2974 | + | 7.09991i | 0.425060 | + | 0.245409i | ||||
\(838\) | −5.23677 | − | 14.3879i | −0.180901 | − | 0.497022i | ||||
\(839\) | −9.17699 | − | 52.0453i | −0.316825 | − | 1.79680i | −0.561800 | − | 0.827273i | \(-0.689891\pi\) |
0.244975 | − | 0.969529i | \(-0.421220\pi\) | |||||||
\(840\) | 0.962069 | + | 1.66635i | 0.0331945 | + | 0.0574946i | ||||
\(841\) | −9.33841 | + | 16.1746i | −0.322014 | + | 0.557745i | ||||
\(842\) | −21.0458 | − | 7.66004i | −0.725286 | − | 0.263983i | ||||
\(843\) | −0.308500 | + | 0.178113i | −0.0106253 | + | 0.00613453i | ||||
\(844\) | 1.85346 | + | 1.55524i | 0.0637988 | + | 0.0535336i | ||||
\(845\) | 4.28501i | 0.147409i | ||||||||
\(846\) | −2.19386 | + | 2.61455i | −0.0754266 | + | 0.0898900i | ||||
\(847\) | −13.2484 | + | 4.82201i | −0.455219 | + | 0.165686i | ||||
\(848\) | −1.50574 | + | 8.53949i | −0.0517074 | + | 0.293247i | ||||
\(849\) | 19.3626 | − | 3.41415i | 0.664523 | − | 0.117173i | ||||
\(850\) | −16.1674 | −0.554536 | ||||||||
\(851\) | 26.4085 | − | 37.5430i | 0.905273 | − | 1.28696i | ||||
\(852\) | 22.9806 | 0.787303 | ||||||||
\(853\) | −32.4894 | + | 5.72875i | −1.11241 | + | 0.196149i | −0.699508 | − | 0.714625i | \(-0.746598\pi\) |
−0.412907 | + | 0.910773i | \(0.635486\pi\) | |||||||
\(854\) | −3.97485 | + | 22.5425i | −0.136017 | + | 0.771388i | ||||
\(855\) | 1.41256 | − | 0.514129i | 0.0483085 | − | 0.0175828i | ||||
\(856\) | 3.05940 | − | 3.64605i | 0.104568 | − | 0.124619i | ||||
\(857\) | 38.4078i | 1.31199i | 0.754767 | + | 0.655993i | \(0.227750\pi\) | ||||
−0.754767 | + | 0.655993i | \(0.772250\pi\) | |||||||
\(858\) | −4.14056 | − | 3.47434i | −0.141356 | − | 0.118612i | ||||
\(859\) | −17.9404 | + | 10.3579i | −0.612119 | + | 0.353407i | −0.773794 | − | 0.633437i | \(-0.781644\pi\) |
0.161676 | + | 0.986844i | \(0.448310\pi\) | |||||||
\(860\) | −1.56884 | − | 0.571012i | −0.0534971 | − | 0.0194713i | ||||
\(861\) | 20.6768 | − | 35.8133i | 0.704664 | − | 1.22051i | ||||
\(862\) | −0.0510399 | − | 0.0884037i | −0.00173843 | − | 0.00301104i | ||||
\(863\) | 6.14125 | + | 34.8288i | 0.209051 | + | 1.18559i | 0.890937 | + | 0.454127i | \(0.150049\pi\) |
−0.681886 | + | 0.731458i | \(0.738840\pi\) | |||||||
\(864\) | 1.91404 | + | 5.25877i | 0.0651168 | + | 0.178907i | ||||
\(865\) | 3.61043 | + | 2.08448i | 0.122758 | + | 0.0708746i | ||||
\(866\) | −5.09547 | − | 6.07254i | −0.173151 | − | 0.206353i | ||||
\(867\) | −6.92092 | + | 5.80734i | −0.235047 | + | 0.197228i | ||||
\(868\) | −2.83273 | + | 7.78285i | −0.0961490 | + | 0.264167i | ||||
\(869\) | −3.72474 | − | 0.656772i | −0.126353 | − | 0.0222795i | ||||
\(870\) | −1.86520 | − | 0.328885i | −0.0632363 | − | 0.0111503i | ||||
\(871\) | −5.24625 | + | 14.4139i | −0.177762 | + | 0.488398i | ||||
\(872\) | 7.38271 | − | 6.19483i | 0.250010 | − | 0.209783i | ||||
\(873\) | 6.21711 | + | 7.40927i | 0.210417 | + | 0.250766i | ||||
\(874\) | −39.1175 | − | 22.5845i | −1.32317 | − | 0.763932i | ||||
\(875\) | 4.23182 | + | 11.6268i | 0.143062 | + | 0.393058i | ||||
\(876\) | −4.01174 | − | 22.7517i | −0.135544 | − | 0.768710i | ||||
\(877\) | −13.1851 | − | 22.8373i | −0.445230 | − | 0.771160i | 0.552839 | − | 0.833288i | \(-0.313545\pi\) |
−0.998068 | + | 0.0621282i | \(0.980211\pi\) | |||||||
\(878\) | 3.78531 | − | 6.55635i | 0.127748 | − | 0.221266i | ||||
\(879\) | −35.4802 | − | 12.9137i | −1.19672 | − | 0.435570i | ||||
\(880\) | 0.861246 | − | 0.497241i | 0.0290326 | − | 0.0167620i | ||||
\(881\) | 25.8314 | + | 21.6752i | 0.870283 | + | 0.730254i | 0.964158 | − | 0.265330i | \(-0.0854808\pi\) |
−0.0938745 | + | 0.995584i | \(0.529925\pi\) | |||||||
\(882\) | 2.38538i | 0.0803198i | ||||||||
\(883\) | −37.1901 | + | 44.3215i | −1.25155 | + | 1.49154i | −0.450690 | + | 0.892680i | \(0.648822\pi\) |
−0.800857 | + | 0.598856i | \(0.795622\pi\) | |||||||
\(884\) | 4.27381 | − | 1.55554i | 0.143744 | − | 0.0523185i | ||||
\(885\) | 1.32737 | − | 7.52788i | 0.0446190 | − | 0.253047i | ||||
\(886\) | 15.7427 | − | 2.77587i | 0.528888 | − | 0.0932572i | ||||
\(887\) | −44.4679 | −1.49309 | −0.746544 | − | 0.665336i | \(-0.768288\pi\) | ||||
−0.746544 | + | 0.665336i | \(0.768288\pi\) | |||||||
\(888\) | 9.00696 | − | 2.39263i | 0.302254 | − | 0.0802914i | ||||
\(889\) | −36.6915 | −1.23059 | ||||||||
\(890\) | 0.361200 | − | 0.0636893i | 0.0121074 | − | 0.00213487i | ||||
\(891\) | −2.96941 | + | 16.8404i | −0.0994789 | + | 0.564173i | ||||
\(892\) | −6.52829 | + | 2.37610i | −0.218583 | + | 0.0795578i | ||||
\(893\) | 20.1194 | − | 23.9774i | 0.673270 | − | 0.802372i | ||||
\(894\) | − | 24.3142i | − | 0.813190i | ||||||
\(895\) | −1.78963 | − | 1.50168i | −0.0598208 | − | 0.0501956i | ||||
\(896\) | −2.82683 | + | 1.63207i | −0.0944377 | + | 0.0545236i | ||||
\(897\) | 14.8285 | + | 5.39714i | 0.495109 | + | 0.180205i | ||||
\(898\) | −14.3377 | + | 24.8336i | −0.478454 | + | 0.828706i | ||||
\(899\) | −4.07625 | − | 7.06028i | −0.135951 | − | 0.235473i | ||||
\(900\) | 0.549925 | + | 3.11878i | 0.0183308 | + | 0.103959i | ||||
\(901\) | −9.88220 | − | 27.1511i | −0.329224 | − | 0.904535i | ||||
\(902\) | −18.5099 | − | 10.6867i | −0.616313 | − | 0.355828i | ||||
\(903\) | 13.9486 | + | 16.6233i | 0.464180 | + | 0.553188i | ||||
\(904\) | −9.92405 | + | 8.32726i | −0.330069 | + | 0.276961i | ||||
\(905\) | 2.83635 | − | 7.79281i | 0.0942835 | − | 0.259042i | ||||
\(906\) | −32.8439 | − | 5.79127i | −1.09117 | − | 0.192402i | ||||
\(907\) | −12.8961 | − | 2.27393i | −0.428209 | − | 0.0755048i | −0.0446097 | − | 0.999004i | \(-0.514204\pi\) |
−0.383599 | + | 0.923500i | \(0.625316\pi\) | |||||||
\(908\) | −7.47280 | + | 20.5313i | −0.247993 | + | 0.681356i | ||||
\(909\) | −0.636260 | + | 0.533886i | −0.0211034 | + | 0.0177079i | ||||
\(910\) | −1.10186 | − | 1.31315i | −0.0365264 | − | 0.0435305i | ||||
\(911\) | −33.2957 | − | 19.2233i | −1.10314 | − | 0.636896i | −0.166093 | − | 0.986110i | \(-0.553115\pi\) |
−0.937043 | + | 0.349215i | \(0.886448\pi\) | |||||||
\(912\) | −3.13658 | − | 8.61769i | −0.103863 | − | 0.285360i | ||||
\(913\) | −0.00499003 | − | 0.0282998i | −0.000165146 | − | 0.000936588i | ||||
\(914\) | 0.0525581 | + | 0.0910334i | 0.00173847 | + | 0.00301112i | ||||
\(915\) | −2.06690 | + | 3.57997i | −0.0683296 | + | 0.118350i | ||||
\(916\) | −3.99379 | − | 1.45362i | −0.131958 | − | 0.0480289i | ||||
\(917\) | −23.6594 | + | 13.6597i | −0.781301 | + | 0.451085i | ||||
\(918\) | −14.2848 | − | 11.9864i | −0.471468 | − | 0.395609i | ||||
\(919\) | − | 14.8613i | − | 0.490229i | −0.969494 | − | 0.245115i | \(-0.921174\pi\) | ||
0.969494 | − | 0.245115i | \(-0.0788256\pi\) | |||||||
\(920\) | −1.86625 | + | 2.22412i | −0.0615286 | + | 0.0733269i | ||||
\(921\) | 9.95018 | − | 3.62157i | 0.327869 | − | 0.119335i | ||||
\(922\) | 4.16236 | − | 23.6059i | 0.137080 | − | 0.777420i | ||||
\(923\) | −20.1622 | + | 3.55514i | −0.663646 | + | 0.117019i | ||||
\(924\) | −12.9260 | −0.425236 | ||||||||
\(925\) | 29.4065 | − | 2.50894i | 0.966880 | − | 0.0824933i | ||||
\(926\) | −20.7514 | −0.681933 | ||||||||
\(927\) | 6.97175 | − | 1.22931i | 0.228982 | − | 0.0403757i | ||||
\(928\) | 0.557927 | − | 3.16416i | 0.0183148 | − | 0.103869i | ||||
\(929\) | −6.82712 | + | 2.48487i | −0.223990 | + | 0.0815258i | −0.451578 | − | 0.892232i | \(-0.649139\pi\) |
0.227587 | + | 0.973758i | \(0.426916\pi\) | |||||||
\(930\) | −0.961434 | + | 1.14579i | −0.0315267 | + | 0.0375720i | ||||
\(931\) | − | 21.8757i | − | 0.716947i | ||||||
\(932\) | −13.2865 | − | 11.1487i | −0.435214 | − | 0.365188i | ||||
\(933\) | −2.20067 | + | 1.27056i | −0.0720466 | + | 0.0415961i | ||||
\(934\) | 16.4379 | + | 5.98290i | 0.537864 | + | 0.195767i | ||||
\(935\) | −1.65687 | + | 2.86978i | −0.0541854 | + | 0.0938519i | ||||
\(936\) | −0.445445 | − | 0.771533i | −0.0145598 | − | 0.0252184i | ||||
\(937\) | −4.58137 | − | 25.9822i | −0.149667 | − | 0.848802i | −0.963501 | − | 0.267705i | \(-0.913735\pi\) |
0.813834 | − | 0.581097i | \(-0.197376\pi\) | |||||||
\(938\) | 12.5461 | + | 34.4702i | 0.409645 | + | 1.12549i | ||||
\(939\) | 34.4324 | + | 19.8795i | 1.12366 | + | 0.648744i | ||||
\(940\) | −1.29324 | − | 1.54122i | −0.0421807 | − | 0.0502690i | ||||
\(941\) | 27.6990 | − | 23.2422i | 0.902961 | − | 0.757674i | −0.0678062 | − | 0.997699i | \(-0.521600\pi\) |
0.970767 | + | 0.240025i | \(0.0771555\pi\) | |||||||
\(942\) | −5.10979 | + | 14.0390i | −0.166486 | + | 0.457417i | ||||
\(943\) | 61.4514 | + | 10.8355i | 2.00113 | + | 0.352854i | ||||
\(944\) | 12.7704 | + | 2.25177i | 0.415642 | + | 0.0732889i | ||||
\(945\) | −2.40382 | + | 6.60445i | −0.0781964 | + | 0.214843i | ||||
\(946\) | 8.59165 | − | 7.20925i | 0.279339 | − | 0.234393i | ||||
\(947\) | −30.2846 | − | 36.0917i | −0.984116 | − | 1.17282i | −0.984953 | − | 0.172824i | \(-0.944711\pi\) |
0.000836789 | − | 1.00000i | \(-0.499734\pi\) | |||||||
\(948\) | 1.94154 | + | 1.12095i | 0.0630583 | + | 0.0364067i | ||||
\(949\) | 7.03945 | + | 19.3407i | 0.228510 | + | 0.627827i | ||||
\(950\) | −5.04323 | − | 28.6016i | −0.163624 | − | 0.927958i | ||||
\(951\) | −8.69447 | − | 15.0593i | −0.281937 | − | 0.488330i | ||||
\(952\) | 5.43826 | − | 9.41935i | 0.176255 | − | 0.305283i | ||||
\(953\) | −8.78776 | − | 3.19848i | −0.284663 | − | 0.103609i | 0.195742 | − | 0.980655i | \(-0.437288\pi\) |
−0.480406 | + | 0.877046i | \(0.659511\pi\) | |||||||
\(954\) | −4.90148 | + | 2.82987i | −0.158691 | + | 0.0916204i | ||||
\(955\) | −1.95322 | − | 1.63894i | −0.0632046 | − | 0.0530349i | ||||
\(956\) | 18.3584i | 0.593752i | ||||||||
\(957\) | 8.17845 | − | 9.74670i | 0.264372 | − | 0.315066i | ||||
\(958\) | −6.46552 | + | 2.35326i | −0.208891 | + | 0.0760303i | ||||
\(959\) | 2.25825 | − | 12.8072i | 0.0729228 | − | 0.413565i | ||||
\(960\) | −0.580523 | + | 0.102362i | −0.0187363 | + | 0.00330371i | ||||
\(961\) | 24.5617 | 0.792314 | ||||||||
\(962\) | −7.53216 | + | 3.49258i | −0.242847 | + | 0.112605i | ||||
\(963\) | 3.10660 | 0.100109 | ||||||||
\(964\) | 23.1096 | − | 4.07485i | 0.744310 | − | 0.131242i | ||||
\(965\) | 1.52695 | − | 8.65974i | 0.0491541 | − | 0.278767i | ||||
\(966\) | 35.4616 | − | 12.9070i | 1.14096 | − | 0.415275i | ||||
\(967\) | 32.1046 | − | 38.2608i | 1.03242 | − | 1.23039i | 0.0597409 | − | 0.998214i | \(-0.480973\pi\) |
0.972675 | − | 0.232171i | \(-0.0745830\pi\) | |||||||
\(968\) | − | 4.31924i | − | 0.138826i | ||||||
\(969\) | 23.4089 | + | 19.6424i | 0.752001 | + | 0.631004i | ||||
\(970\) | −4.93764 | + | 2.85075i | −0.158538 | + | 0.0915320i | ||||
\(971\) | −35.3500 | − | 12.8664i | −1.13444 | − | 0.412901i | −0.294536 | − | 0.955641i | \(-0.595165\pi\) |
−0.839901 | + | 0.542739i | \(0.817387\pi\) | |||||||
\(972\) | −3.32635 | + | 5.76141i | −0.106693 | + | 0.184797i | ||||
\(973\) | 8.34216 | + | 14.4491i | 0.267437 | + | 0.463215i | ||||
\(974\) | 0.296609 | + | 1.68215i | 0.00950395 | + | 0.0538996i | ||||
\(975\) | 3.47025 | + | 9.53444i | 0.111137 | + | 0.305347i | ||||
\(976\) | −6.07313 | − | 3.50632i | −0.194396 | − | 0.112235i | ||||
\(977\) | 18.0852 | + | 21.5531i | 0.578597 | + | 0.689545i | 0.973372 | − | 0.229233i | \(-0.0736219\pi\) |
−0.394775 | + | 0.918778i | \(0.629177\pi\) | |||||||
\(978\) | −15.4508 | + | 12.9647i | −0.494061 | + | 0.414567i | ||||
\(979\) | −0.842708 | + | 2.31532i | −0.0269331 | + | 0.0739980i | ||||
\(980\) | −1.38476 | − | 0.244171i | −0.0442347 | − | 0.00779977i | ||||
\(981\) | 6.19483 | + | 1.09231i | 0.197786 | + | 0.0348749i | ||||
\(982\) | −3.63330 | + | 9.98241i | −0.115943 | + | 0.318551i | ||||
\(983\) | −25.2349 | + | 21.1746i | −0.804867 | + | 0.675364i | −0.949377 | − | 0.314140i | \(-0.898284\pi\) |
0.144510 | + | 0.989503i | \(0.453840\pi\) | |||||||
\(984\) | 8.14352 | + | 9.70508i | 0.259606 | + | 0.309386i | ||||
\(985\) | 4.91683 | + | 2.83873i | 0.156663 | + | 0.0904495i | ||||
\(986\) | 3.66168 | + | 10.0604i | 0.116612 | + | 0.320388i | ||||
\(987\) | 4.54098 | + | 25.7532i | 0.144541 | + | 0.819732i | ||||
\(988\) | 4.08506 | + | 7.07554i | 0.129963 | + | 0.225103i | ||||
\(989\) | −16.3719 | + | 28.3570i | −0.520597 | + | 0.901700i | ||||
\(990\) | 0.609956 | + | 0.222006i | 0.0193857 | + | 0.00705581i | ||||
\(991\) | 33.7743 | − | 19.4996i | 1.07288 | − | 0.619426i | 0.143911 | − | 0.989591i | \(-0.454032\pi\) |
0.928966 | + | 0.370164i | \(0.120699\pi\) | |||||||
\(992\) | −1.94374 | − | 1.63099i | −0.0617138 | − | 0.0517840i | ||||
\(993\) | − | 19.6685i | − | 0.624160i | ||||||
\(994\) | −31.4713 | + | 37.5060i | −0.998208 | + | 1.18962i | ||||
\(995\) | 0.533207 | − | 0.194072i | 0.0169038 | − | 0.00615248i | ||||
\(996\) | −0.00295783 | + | 0.0167747i | −9.37226e−5 | + | 0.000531527i | ||||
\(997\) | −7.85922 | + | 1.38579i | −0.248904 | + | 0.0438885i | −0.296708 | − | 0.954968i | \(-0.595889\pi\) |
0.0478041 | + | 0.998857i | \(0.484778\pi\) | |||||||
\(998\) | 35.4707 | 1.12281 | ||||||||
\(999\) | 27.8424 | + | 19.5850i | 0.880896 | + | 0.619641i |
(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 | 74.2.h.a.65.2 | yes | 12 | |
3.2 | odd | 2 | 666.2.bj.c.361.1 | 12 | |||
4.3 | odd | 2 | 592.2.bq.b.65.2 | 12 | |||
37.2 | odd | 36 | 2738.2.a.s.1.6 | 6 | |||
37.4 | even | 18 | inner | 74.2.h.a.41.2 | ✓ | 12 | |
37.35 | odd | 36 | 2738.2.a.r.1.5 | 6 | |||
111.41 | odd | 18 | 666.2.bj.c.559.1 | 12 | |||
148.115 | odd | 18 | 592.2.bq.b.337.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.h.a.41.2 | ✓ | 12 | 37.4 | even | 18 | inner | |
74.2.h.a.65.2 | yes | 12 | 1.1 | even | 1 | trivial | |
592.2.bq.b.65.2 | 12 | 4.3 | odd | 2 | |||
592.2.bq.b.337.2 | 12 | 148.115 | odd | 18 | |||
666.2.bj.c.361.1 | 12 | 3.2 | odd | 2 | |||
666.2.bj.c.559.1 | 12 | 111.41 | odd | 18 | |||
2738.2.a.r.1.5 | 6 | 37.35 | odd | 36 | |||
2738.2.a.s.1.6 | 6 | 37.2 | odd | 36 |