Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(25,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(0.500000 - 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.25 |
Dual form | 126.2.e.d.121.1 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −1.29418 | + | 1.15113i | −0.747196 | + | 0.664603i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.84981 | + | 3.20397i | −0.827262 | + | 1.43286i | 0.0729162 | + | 0.997338i | \(0.476769\pi\) |
−0.900178 | + | 0.435522i | \(0.856564\pi\) | |||||||
\(6\) | −1.29418 | + | 1.15113i | −0.528348 | + | 0.469946i | ||||
\(7\) | 2.64400 | + | 0.0963576i | 0.999337 | + | 0.0364197i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.349814 | − | 2.97954i | 0.116605 | − | 0.993178i | ||||
\(10\) | −1.84981 | + | 3.20397i | −0.584963 | + | 1.01318i | ||||
\(11\) | 0.738550 | + | 1.27921i | 0.222681 | + | 0.385695i | 0.955621 | − | 0.294598i | \(-0.0951858\pi\) |
−0.732940 | + | 0.680293i | \(0.761852\pi\) | |||||||
\(12\) | −1.29418 | + | 1.15113i | −0.373598 | + | 0.332302i | ||||
\(13\) | −1.34981 | − | 2.33795i | −0.374371 | − | 0.648430i | 0.615862 | − | 0.787854i | \(-0.288808\pi\) |
−0.990233 | + | 0.139425i | \(0.955475\pi\) | |||||||
\(14\) | 2.64400 | + | 0.0963576i | 0.706638 | + | 0.0257526i | ||||
\(15\) | −1.29418 | − | 6.27589i | −0.334156 | − | 1.62043i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.28799 | − | 5.69497i | 0.797455 | − | 1.38123i | −0.123813 | − | 0.992306i | \(-0.539512\pi\) |
0.921268 | − | 0.388927i | \(-0.127154\pi\) | |||||||
\(18\) | 0.349814 | − | 2.97954i | 0.0824520 | − | 0.702283i | ||||
\(19\) | −0.444368 | − | 0.769668i | −0.101945 | − | 0.176574i | 0.810541 | − | 0.585682i | \(-0.199173\pi\) |
−0.912486 | + | 0.409108i | \(0.865840\pi\) | |||||||
\(20\) | −1.84981 | + | 3.20397i | −0.413631 | + | 0.716430i | ||||
\(21\) | −3.53273 | + | 2.91887i | −0.770905 | + | 0.636950i | ||||
\(22\) | 0.738550 | + | 1.27921i | 0.157459 | + | 0.272728i | ||||
\(23\) | −3.14400 | + | 5.44556i | −0.655568 | + | 1.13548i | 0.326182 | + | 0.945307i | \(0.394238\pi\) |
−0.981751 | + | 0.190171i | \(0.939096\pi\) | |||||||
\(24\) | −1.29418 | + | 1.15113i | −0.264174 | + | 0.234973i | ||||
\(25\) | −4.34362 | − | 7.52338i | −0.868725 | − | 1.50468i | ||||
\(26\) | −1.34981 | − | 2.33795i | −0.264720 | − | 0.458509i | ||||
\(27\) | 2.97710 | + | 4.25874i | 0.572943 | + | 0.819595i | ||||
\(28\) | 2.64400 | + | 0.0963576i | 0.499668 | + | 0.0182099i | ||||
\(29\) | 1.25526 | − | 2.17417i | 0.233096 | − | 0.403734i | −0.725622 | − | 0.688094i | \(-0.758448\pi\) |
0.958718 | + | 0.284360i | \(0.0917810\pi\) | |||||||
\(30\) | −1.29418 | − | 6.27589i | −0.236284 | − | 1.14582i | ||||
\(31\) | 6.81089 | 1.22327 | 0.611636 | − | 0.791139i | \(-0.290512\pi\) | ||||
0.611636 | + | 0.791139i | \(0.290512\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −2.42835 | − | 0.805361i | −0.422721 | − | 0.140195i | ||||
\(34\) | 3.28799 | − | 5.69497i | 0.563886 | − | 0.976679i | ||||
\(35\) | −5.19963 | + | 8.29305i | −0.878898 | + | 1.40178i | ||||
\(36\) | 0.349814 | − | 2.97954i | 0.0583023 | − | 0.496589i | ||||
\(37\) | −1.38874 | − | 2.40536i | −0.228307 | − | 0.395439i | 0.729000 | − | 0.684514i | \(-0.239986\pi\) |
−0.957306 | + | 0.289075i | \(0.906652\pi\) | |||||||
\(38\) | −0.444368 | − | 0.769668i | −0.0720860 | − | 0.124857i | ||||
\(39\) | 4.43818 | + | 1.47192i | 0.710677 | + | 0.235696i | ||||
\(40\) | −1.84981 | + | 3.20397i | −0.292481 | + | 0.506592i | ||||
\(41\) | −2.05563 | − | 3.56046i | −0.321036 | − | 0.556050i | 0.659666 | − | 0.751559i | \(-0.270698\pi\) |
−0.980702 | + | 0.195508i | \(0.937364\pi\) | |||||||
\(42\) | −3.53273 | + | 2.91887i | −0.545112 | + | 0.450392i | ||||
\(43\) | 0.00618986 | − | 0.0107211i | 0.000943944 | − | 0.00163496i | −0.865553 | − | 0.500817i | \(-0.833033\pi\) |
0.866497 | + | 0.499182i | \(0.166366\pi\) | |||||||
\(44\) | 0.738550 | + | 1.27921i | 0.111341 | + | 0.192848i | ||||
\(45\) | 8.89926 | + | 6.63238i | 1.32662 | + | 0.988697i | ||||
\(46\) | −3.14400 | + | 5.44556i | −0.463557 | + | 0.802904i | ||||
\(47\) | −6.98762 | −1.01925 | −0.509625 | − | 0.860397i | \(-0.670216\pi\) | ||||
−0.509625 | + | 0.860397i | \(0.670216\pi\) | |||||||
\(48\) | −1.29418 | + | 1.15113i | −0.186799 | + | 0.166151i | ||||
\(49\) | 6.98143 | + | 0.509538i | 0.997347 | + | 0.0727912i | ||||
\(50\) | −4.34362 | − | 7.52338i | −0.614281 | − | 1.06397i | ||||
\(51\) | 2.30037 | + | 11.1552i | 0.322116 | + | 1.56204i | ||||
\(52\) | −1.34981 | − | 2.33795i | −0.187186 | − | 0.324215i | ||||
\(53\) | −1.60507 | + | 2.78007i | −0.220474 | + | 0.381872i | −0.954952 | − | 0.296760i | \(-0.904094\pi\) |
0.734478 | + | 0.678632i | \(0.237427\pi\) | |||||||
\(54\) | 2.97710 | + | 4.25874i | 0.405132 | + | 0.579541i | ||||
\(55\) | −5.46472 | −0.736863 | ||||||||
\(56\) | 2.64400 | + | 0.0963576i | 0.353319 | + | 0.0128763i | ||||
\(57\) | 1.46108 | + | 0.484566i | 0.193525 | + | 0.0641824i | ||||
\(58\) | 1.25526 | − | 2.17417i | 0.164824 | − | 0.285483i | ||||
\(59\) | 6.90978 | 0.899576 | 0.449788 | − | 0.893135i | \(-0.351499\pi\) | ||||
0.449788 | + | 0.893135i | \(0.351499\pi\) | |||||||
\(60\) | −1.29418 | − | 6.27589i | −0.167078 | − | 0.810214i | ||||
\(61\) | −5.73305 | −0.734042 | −0.367021 | − | 0.930213i | \(-0.619622\pi\) | ||||
−0.367021 | + | 0.930213i | \(0.619622\pi\) | |||||||
\(62\) | 6.81089 | 0.864984 | ||||||||
\(63\) | 1.21201 | − | 7.84417i | 0.152699 | − | 0.988273i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 9.98762 | 1.23881 | ||||||||
\(66\) | −2.42835 | − | 0.805361i | −0.298909 | − | 0.0991331i | ||||
\(67\) | −9.46472 | −1.15630 | −0.578150 | − | 0.815931i | \(-0.696225\pi\) | ||||
−0.578150 | + | 0.815931i | \(0.696225\pi\) | |||||||
\(68\) | 3.28799 | − | 5.69497i | 0.398728 | − | 0.690616i | ||||
\(69\) | −2.19963 | − | 10.6667i | −0.264804 | − | 1.28412i | ||||
\(70\) | −5.19963 | + | 8.29305i | −0.621474 | + | 0.991209i | ||||
\(71\) | −5.46472 | −0.648543 | −0.324271 | − | 0.945964i | \(-0.605119\pi\) | ||||
−0.324271 | + | 0.945964i | \(0.605119\pi\) | |||||||
\(72\) | 0.349814 | − | 2.97954i | 0.0412260 | − | 0.351142i | ||||
\(73\) | −6.03273 | + | 10.4490i | −0.706078 | + | 1.22296i | 0.260223 | + | 0.965548i | \(0.416204\pi\) |
−0.966301 | + | 0.257414i | \(0.917130\pi\) | |||||||
\(74\) | −1.38874 | − | 2.40536i | −0.161437 | − | 0.279618i | ||||
\(75\) | 14.2818 | + | 4.73656i | 1.64912 | + | 0.546931i | ||||
\(76\) | −0.444368 | − | 0.769668i | −0.0509725 | − | 0.0882870i | ||||
\(77\) | 1.82946 | + | 3.45338i | 0.208487 | + | 0.393549i | ||||
\(78\) | 4.43818 | + | 1.47192i | 0.502525 | + | 0.166662i | ||||
\(79\) | 11.4523 | 1.28849 | 0.644244 | − | 0.764820i | \(-0.277172\pi\) | ||||
0.644244 | + | 0.764820i | \(0.277172\pi\) | |||||||
\(80\) | −1.84981 | + | 3.20397i | −0.206816 | + | 0.358215i | ||||
\(81\) | −8.75526 | − | 2.08457i | −0.972807 | − | 0.231619i | ||||
\(82\) | −2.05563 | − | 3.56046i | −0.227007 | − | 0.393187i | ||||
\(83\) | 2.23855 | − | 3.87728i | 0.245713 | − | 0.425587i | −0.716619 | − | 0.697465i | \(-0.754311\pi\) |
0.962332 | + | 0.271878i | \(0.0876447\pi\) | |||||||
\(84\) | −3.53273 | + | 2.91887i | −0.385453 | + | 0.318475i | ||||
\(85\) | 12.1643 | + | 21.0693i | 1.31941 | + | 2.28528i | ||||
\(86\) | 0.00618986 | − | 0.0107211i | 0.000667469 | − | 0.00115609i | ||||
\(87\) | 0.878215 | + | 4.25874i | 0.0941546 | + | 0.456585i | ||||
\(88\) | 0.738550 | + | 1.27921i | 0.0787297 | + | 0.136364i | ||||
\(89\) | −4.43818 | − | 7.68715i | −0.470446 | − | 0.814836i | 0.528983 | − | 0.848633i | \(-0.322574\pi\) |
−0.999429 | + | 0.0337963i | \(0.989240\pi\) | |||||||
\(90\) | 8.89926 | + | 6.63238i | 0.938064 | + | 0.699114i | ||||
\(91\) | −3.34362 | − | 6.31159i | −0.350507 | − | 0.661634i | ||||
\(92\) | −3.14400 | + | 5.44556i | −0.327784 | + | 0.567739i | ||||
\(93\) | −8.81453 | + | 7.84020i | −0.914025 | + | 0.812991i | ||||
\(94\) | −6.98762 | −0.720718 | ||||||||
\(95\) | 3.28799 | 0.337341 | ||||||||
\(96\) | −1.29418 | + | 1.15113i | −0.132087 | + | 0.117486i | ||||
\(97\) | −6.58836 | + | 11.4114i | −0.668947 | + | 1.15865i | 0.309252 | + | 0.950980i | \(0.399921\pi\) |
−0.978199 | + | 0.207670i | \(0.933412\pi\) | |||||||
\(98\) | 6.98143 | + | 0.509538i | 0.705231 | + | 0.0514711i | ||||
\(99\) | 4.06979 | − | 1.75305i | 0.409030 | − | 0.176188i | ||||
\(100\) | −4.34362 | − | 7.52338i | −0.434362 | − | 0.752338i | ||||
\(101\) | −2.62729 | − | 4.55059i | −0.261425 | − | 0.452801i | 0.705196 | − | 0.709012i | \(-0.250859\pi\) |
−0.966621 | + | 0.256212i | \(0.917526\pi\) | |||||||
\(102\) | 2.30037 | + | 11.1552i | 0.227771 | + | 1.10453i | ||||
\(103\) | −0.833104 | + | 1.44298i | −0.0820882 | + | 0.142181i | −0.904147 | − | 0.427222i | \(-0.859492\pi\) |
0.822059 | + | 0.569403i | \(0.192826\pi\) | |||||||
\(104\) | −1.34981 | − | 2.33795i | −0.132360 | − | 0.229255i | ||||
\(105\) | −2.81708 | − | 16.7181i | −0.274919 | − | 1.63152i | ||||
\(106\) | −1.60507 | + | 2.78007i | −0.155899 | + | 0.270024i | ||||
\(107\) | −5.38255 | − | 9.32284i | −0.520350 | − | 0.901273i | −0.999720 | − | 0.0236602i | \(-0.992468\pi\) |
0.479370 | − | 0.877613i | \(-0.340865\pi\) | |||||||
\(108\) | 2.97710 | + | 4.25874i | 0.286472 | + | 0.409798i | ||||
\(109\) | −0.0945538 | + | 0.163772i | −0.00905662 | + | 0.0156865i | −0.870518 | − | 0.492136i | \(-0.836216\pi\) |
0.861462 | + | 0.507823i | \(0.169550\pi\) | |||||||
\(110\) | −5.46472 | −0.521041 | ||||||||
\(111\) | 4.56615 | + | 1.51436i | 0.433400 | + | 0.143737i | ||||
\(112\) | 2.64400 | + | 0.0963576i | 0.249834 | + | 0.00910494i | ||||
\(113\) | −6.78180 | − | 11.7464i | −0.637978 | − | 1.10501i | −0.985876 | − | 0.167478i | \(-0.946438\pi\) |
0.347897 | − | 0.937533i | \(-0.386896\pi\) | |||||||
\(114\) | 1.46108 | + | 0.484566i | 0.136843 | + | 0.0453838i | ||||
\(115\) | −11.6316 | − | 20.1466i | −1.08465 | − | 1.87868i | ||||
\(116\) | 1.25526 | − | 2.17417i | 0.116548 | − | 0.201867i | ||||
\(117\) | −7.43818 | + | 3.20397i | −0.687660 | + | 0.296207i | ||||
\(118\) | 6.90978 | 0.636097 | ||||||||
\(119\) | 9.24219 | − | 14.7407i | 0.847230 | − | 1.35127i | ||||
\(120\) | −1.29418 | − | 6.27589i | −0.118142 | − | 0.572908i | ||||
\(121\) | 4.40909 | − | 7.63676i | 0.400826 | − | 0.694251i | ||||
\(122\) | −5.73305 | −0.519046 | ||||||||
\(123\) | 6.75890 | + | 2.24159i | 0.609430 | + | 0.202117i | ||||
\(124\) | 6.81089 | 0.611636 | ||||||||
\(125\) | 13.6414 | 1.22013 | ||||||||
\(126\) | 1.21201 | − | 7.84417i | 0.107974 | − | 0.698814i | ||||
\(127\) | −2.85669 | −0.253490 | −0.126745 | − | 0.991935i | \(-0.540453\pi\) | ||||
−0.126745 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 0.00433060 | + | 0.0210004i | 0.000381288 | + | 0.00184898i | ||||
\(130\) | 9.98762 | 0.875972 | ||||||||
\(131\) | −0.0778435 | + | 0.134829i | −0.00680122 | + | 0.0117801i | −0.869406 | − | 0.494098i | \(-0.835498\pi\) |
0.862605 | + | 0.505878i | \(0.168832\pi\) | |||||||
\(132\) | −2.42835 | − | 0.805361i | −0.211360 | − | 0.0700977i | ||||
\(133\) | −1.10074 | − | 2.07782i | −0.0954466 | − | 0.180170i | ||||
\(134\) | −9.46472 | −0.817627 | ||||||||
\(135\) | −19.1520 | + | 1.66066i | −1.64834 | + | 0.142927i | ||||
\(136\) | 3.28799 | − | 5.69497i | 0.281943 | − | 0.488340i | ||||
\(137\) | 1.70582 | + | 2.95456i | 0.145738 | + | 0.252425i | 0.929648 | − | 0.368449i | \(-0.120111\pi\) |
−0.783910 | + | 0.620874i | \(0.786778\pi\) | |||||||
\(138\) | −2.19963 | − | 10.6667i | −0.187245 | − | 0.908009i | ||||
\(139\) | −6.75526 | − | 11.7005i | −0.572974 | − | 0.992420i | −0.996259 | − | 0.0864229i | \(-0.972456\pi\) |
0.423285 | − | 0.905997i | \(-0.360877\pi\) | |||||||
\(140\) | −5.19963 | + | 8.29305i | −0.439449 | + | 0.700890i | ||||
\(141\) | 9.04325 | − | 8.04364i | 0.761579 | − | 0.677396i | ||||
\(142\) | −5.46472 | −0.458589 | ||||||||
\(143\) | 1.99381 | − | 3.45338i | 0.166731 | − | 0.288786i | ||||
\(144\) | 0.349814 | − | 2.97954i | 0.0291512 | − | 0.248295i | ||||
\(145\) | 4.64400 | + | 8.04364i | 0.385663 | + | 0.667988i | ||||
\(146\) | −6.03273 | + | 10.4490i | −0.499272 | + | 0.864765i | ||||
\(147\) | −9.62178 | + | 7.37708i | −0.793591 | + | 0.608451i | ||||
\(148\) | −1.38874 | − | 2.40536i | −0.114153 | − | 0.197719i | ||||
\(149\) | −0.166896 | + | 0.289073i | −0.0136727 | + | 0.0236818i | −0.872781 | − | 0.488112i | \(-0.837686\pi\) |
0.859108 | + | 0.511794i | \(0.171019\pi\) | |||||||
\(150\) | 14.2818 | + | 4.73656i | 1.16610 | + | 0.386738i | ||||
\(151\) | 9.95489 | + | 17.2424i | 0.810117 | + | 1.40316i | 0.912781 | + | 0.408448i | \(0.133930\pi\) |
−0.102664 | + | 0.994716i | \(0.532737\pi\) | |||||||
\(152\) | −0.444368 | − | 0.769668i | −0.0360430 | − | 0.0624283i | ||||
\(153\) | −15.8182 | − | 11.7889i | −1.27882 | − | 0.953074i | ||||
\(154\) | 1.82946 | + | 3.45338i | 0.147422 | + | 0.278281i | ||||
\(155\) | −12.5989 | + | 21.8219i | −1.01197 | + | 1.75278i | ||||
\(156\) | 4.43818 | + | 1.47192i | 0.355339 | + | 0.117848i | ||||
\(157\) | −6.96286 | −0.555697 | −0.277848 | − | 0.960625i | \(-0.589621\pi\) | ||||
−0.277848 | + | 0.960625i | \(0.589621\pi\) | |||||||
\(158\) | 11.4523 | 0.911099 | ||||||||
\(159\) | −1.12296 | − | 5.44556i | −0.0890561 | − | 0.431861i | ||||
\(160\) | −1.84981 | + | 3.20397i | −0.146241 | + | 0.253296i | ||||
\(161\) | −8.83743 | + | 14.0951i | −0.696487 | + | 1.11085i | ||||
\(162\) | −8.75526 | − | 2.08457i | −0.687878 | − | 0.163779i | ||||
\(163\) | 4.03706 | + | 6.99240i | 0.316207 | + | 0.547687i | 0.979693 | − | 0.200502i | \(-0.0642572\pi\) |
−0.663486 | + | 0.748189i | \(0.730924\pi\) | |||||||
\(164\) | −2.05563 | − | 3.56046i | −0.160518 | − | 0.278025i | ||||
\(165\) | 7.07234 | − | 6.29059i | 0.550581 | − | 0.489721i | ||||
\(166\) | 2.23855 | − | 3.87728i | 0.173745 | − | 0.300935i | ||||
\(167\) | 9.74288 | + | 16.8752i | 0.753927 | + | 1.30584i | 0.945906 | + | 0.324440i | \(0.105176\pi\) |
−0.191979 | + | 0.981399i | \(0.561491\pi\) | |||||||
\(168\) | −3.53273 | + | 2.91887i | −0.272556 | + | 0.225196i | ||||
\(169\) | 2.85600 | − | 4.94674i | 0.219693 | − | 0.380519i | ||||
\(170\) | 12.1643 | + | 21.0693i | 0.932963 | + | 1.61594i | ||||
\(171\) | −2.44870 | + | 1.05477i | −0.187257 | + | 0.0806602i | ||||
\(172\) | 0.00618986 | − | 0.0107211i | 0.000471972 | − | 0.000817480i | ||||
\(173\) | 22.5636 | 1.71548 | 0.857740 | − | 0.514085i | \(-0.171868\pi\) | ||||
0.857740 | + | 0.514085i | \(0.171868\pi\) | |||||||
\(174\) | 0.878215 | + | 4.25874i | 0.0665773 | + | 0.322854i | ||||
\(175\) | −10.7596 | − | 20.3103i | −0.813349 | − | 1.53532i | ||||
\(176\) | 0.738550 | + | 1.27921i | 0.0556703 | + | 0.0964238i | ||||
\(177\) | −8.94251 | + | 7.95403i | −0.672160 | + | 0.597861i | ||||
\(178\) | −4.43818 | − | 7.68715i | −0.332656 | − | 0.576176i | ||||
\(179\) | 0.166896 | − | 0.289073i | 0.0124744 | − | 0.0216063i | −0.859721 | − | 0.510764i | \(-0.829363\pi\) |
0.872195 | + | 0.489158i | \(0.162696\pi\) | |||||||
\(180\) | 8.89926 | + | 6.63238i | 0.663311 | + | 0.494348i | ||||
\(181\) | 23.2422 | 1.72758 | 0.863789 | − | 0.503853i | \(-0.168085\pi\) | ||||
0.863789 | + | 0.503853i | \(0.168085\pi\) | |||||||
\(182\) | −3.34362 | − | 6.31159i | −0.247846 | − | 0.467846i | ||||
\(183\) | 7.41961 | − | 6.59947i | 0.548473 | − | 0.487847i | ||||
\(184\) | −3.14400 | + | 5.44556i | −0.231778 | + | 0.401452i | ||||
\(185\) | 10.2756 | 0.755478 | ||||||||
\(186\) | −8.81453 | + | 7.84020i | −0.646313 | + | 0.574871i | ||||
\(187\) | 9.71339 | 0.710313 | ||||||||
\(188\) | −6.98762 | −0.509625 | ||||||||
\(189\) | 7.46108 | + | 11.5470i | 0.542714 | + | 0.839918i | ||||
\(190\) | 3.28799 | 0.238536 | ||||||||
\(191\) | −16.3214 | −1.18098 | −0.590488 | − | 0.807046i | \(-0.701065\pi\) | ||||
−0.590488 | + | 0.807046i | \(0.701065\pi\) | |||||||
\(192\) | −1.29418 | + | 1.15113i | −0.0933995 | + | 0.0830754i | ||||
\(193\) | −14.3214 | −1.03088 | −0.515439 | − | 0.856926i | \(-0.672371\pi\) | ||||
−0.515439 | + | 0.856926i | \(0.672371\pi\) | |||||||
\(194\) | −6.58836 | + | 11.4114i | −0.473017 | + | 0.819289i | ||||
\(195\) | −12.9258 | + | 11.4970i | −0.925636 | + | 0.823319i | ||||
\(196\) | 6.98143 | + | 0.509538i | 0.498674 | + | 0.0363956i | ||||
\(197\) | 2.42402 | 0.172704 | 0.0863520 | − | 0.996265i | \(-0.472479\pi\) | ||||
0.0863520 | + | 0.996265i | \(0.472479\pi\) | |||||||
\(198\) | 4.06979 | − | 1.75305i | 0.289228 | − | 0.124584i | ||||
\(199\) | −3.05563 | + | 5.29251i | −0.216608 | + | 0.375176i | −0.953769 | − | 0.300541i | \(-0.902833\pi\) |
0.737161 | + | 0.675717i | \(0.236166\pi\) | |||||||
\(200\) | −4.34362 | − | 7.52338i | −0.307141 | − | 0.531983i | ||||
\(201\) | 12.2491 | − | 10.8951i | 0.863983 | − | 0.768481i | ||||
\(202\) | −2.62729 | − | 4.55059i | −0.184855 | − | 0.320179i | ||||
\(203\) | 3.52840 | − | 5.62755i | 0.247645 | − | 0.394977i | ||||
\(204\) | 2.30037 | + | 11.1552i | 0.161058 | + | 0.781022i | ||||
\(205\) | 15.2101 | 1.06232 | ||||||||
\(206\) | −0.833104 | + | 1.44298i | −0.0580451 | + | 0.100537i | ||||
\(207\) | 15.1254 | + | 11.2726i | 1.05129 | + | 0.783499i | ||||
\(208\) | −1.34981 | − | 2.33795i | −0.0935928 | − | 0.162107i | ||||
\(209\) | 0.656376 | − | 1.13688i | 0.0454025 | − | 0.0786394i | ||||
\(210\) | −2.81708 | − | 16.7181i | −0.194397 | − | 1.15366i | ||||
\(211\) | 5.72253 | + | 9.91171i | 0.393955 | + | 0.682350i | 0.992967 | − | 0.118390i | \(-0.0377732\pi\) |
−0.599012 | + | 0.800740i | \(0.704440\pi\) | |||||||
\(212\) | −1.60507 | + | 2.78007i | −0.110237 | + | 0.190936i | ||||
\(213\) | 7.07234 | − | 6.29059i | 0.484589 | − | 0.431024i | ||||
\(214\) | −5.38255 | − | 9.32284i | −0.367943 | − | 0.637296i | ||||
\(215\) | 0.0229002 | + | 0.0396643i | 0.00156178 | + | 0.00270508i | ||||
\(216\) | 2.97710 | + | 4.25874i | 0.202566 | + | 0.289771i | ||||
\(217\) | 18.0080 | + | 0.656281i | 1.22246 | + | 0.0445513i | ||||
\(218\) | −0.0945538 | + | 0.163772i | −0.00640399 | + | 0.0110920i | ||||
\(219\) | −4.22067 | − | 20.4673i | −0.285206 | − | 1.38305i | ||||
\(220\) | −5.46472 | −0.368431 | ||||||||
\(221\) | −17.7527 | −1.19418 | ||||||||
\(222\) | 4.56615 | + | 1.51436i | 0.306460 | + | 0.101637i | ||||
\(223\) | −3.61126 | + | 6.25489i | −0.241828 | + | 0.418859i | −0.961235 | − | 0.275730i | \(-0.911080\pi\) |
0.719407 | + | 0.694589i | \(0.244414\pi\) | |||||||
\(224\) | 2.64400 | + | 0.0963576i | 0.176659 | + | 0.00643816i | ||||
\(225\) | −23.9356 | + | 10.3102i | −1.59571 | + | 0.687347i | ||||
\(226\) | −6.78180 | − | 11.7464i | −0.451119 | − | 0.781361i | ||||
\(227\) | −6.82760 | − | 11.8258i | −0.453164 | − | 0.784903i | 0.545417 | − | 0.838165i | \(-0.316371\pi\) |
−0.998581 | + | 0.0532622i | \(0.983038\pi\) | |||||||
\(228\) | 1.46108 | + | 0.484566i | 0.0967623 | + | 0.0320912i | ||||
\(229\) | −8.68725 | + | 15.0468i | −0.574070 | + | 0.994318i | 0.422073 | + | 0.906562i | \(0.361303\pi\) |
−0.996142 | + | 0.0877555i | \(0.972031\pi\) | |||||||
\(230\) | −11.6316 | − | 20.1466i | −0.766966 | − | 1.32842i | ||||
\(231\) | −6.34294 | − | 2.36336i | −0.417335 | − | 0.155498i | ||||
\(232\) | 1.25526 | − | 2.17417i | 0.0824119 | − | 0.142742i | ||||
\(233\) | 7.62110 | + | 13.2001i | 0.499275 | + | 0.864769i | 1.00000 | 0.000837426i | \(-0.000266561\pi\) | |
−0.500725 | + | 0.865606i | \(0.666933\pi\) | |||||||
\(234\) | −7.43818 | + | 3.20397i | −0.486249 | + | 0.209450i | ||||
\(235\) | 12.9258 | − | 22.3881i | 0.843186 | − | 1.46044i | ||||
\(236\) | 6.90978 | 0.449788 | ||||||||
\(237\) | −14.8214 | + | 13.1831i | −0.962754 | + | 0.856334i | ||||
\(238\) | 9.24219 | − | 14.7407i | 0.599082 | − | 0.955495i | ||||
\(239\) | 9.47524 | + | 16.4116i | 0.612902 | + | 1.06158i | 0.990749 | + | 0.135710i | \(0.0433314\pi\) |
−0.377846 | + | 0.925868i | \(0.623335\pi\) | |||||||
\(240\) | −1.29418 | − | 6.27589i | −0.0835391 | − | 0.405107i | ||||
\(241\) | 12.2527 | + | 21.2223i | 0.789267 | + | 1.36705i | 0.926417 | + | 0.376500i | \(0.122872\pi\) |
−0.137150 | + | 0.990550i | \(0.543794\pi\) | |||||||
\(242\) | 4.40909 | − | 7.63676i | 0.283427 | − | 0.490910i | ||||
\(243\) | 13.7305 | − | 7.38061i | 0.880812 | − | 0.473466i | ||||
\(244\) | −5.73305 | −0.367021 | ||||||||
\(245\) | −14.5469 | + | 21.4258i | −0.929367 | + | 1.36884i | ||||
\(246\) | 6.75890 | + | 2.24159i | 0.430932 | + | 0.142918i | ||||
\(247\) | −1.19963 | + | 2.07782i | −0.0763305 | + | 0.132208i | ||||
\(248\) | 6.81089 | 0.432492 | ||||||||
\(249\) | 1.56615 | + | 7.59476i | 0.0992509 | + | 0.481299i | ||||
\(250\) | 13.6414 | 0.862761 | ||||||||
\(251\) | −12.1236 | −0.765238 | −0.382619 | − | 0.923906i | \(-0.624978\pi\) | ||||
−0.382619 | + | 0.923906i | \(0.624978\pi\) | |||||||
\(252\) | 1.21201 | − | 7.84417i | 0.0763493 | − | 0.494136i | ||||
\(253\) | −9.28799 | −0.583931 | ||||||||
\(254\) | −2.85669 | −0.179245 | ||||||||
\(255\) | −39.9963 | − | 13.2648i | −2.50466 | − | 0.830672i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 4.10439 | − | 7.10900i | 0.256025 | − | 0.443448i | −0.709149 | − | 0.705059i | \(-0.750921\pi\) |
0.965173 | + | 0.261611i | \(0.0842539\pi\) | |||||||
\(258\) | 0.00433060 | + | 0.0210004i | 0.000269611 | + | 0.00130743i | ||||
\(259\) | −3.44004 | − | 6.49358i | −0.213754 | − | 0.403491i | ||||
\(260\) | 9.98762 | 0.619406 | ||||||||
\(261\) | −6.03892 | − | 4.50065i | −0.373800 | − | 0.278583i | ||||
\(262\) | −0.0778435 | + | 0.134829i | −0.00480919 | + | 0.00832976i | ||||
\(263\) | 2.67309 | + | 4.62992i | 0.164830 | + | 0.285493i | 0.936595 | − | 0.350414i | \(-0.113959\pi\) |
−0.771765 | + | 0.635908i | \(0.780626\pi\) | |||||||
\(264\) | −2.42835 | − | 0.805361i | −0.149454 | − | 0.0495665i | ||||
\(265\) | −5.93818 | − | 10.2852i | −0.364779 | − | 0.631816i | ||||
\(266\) | −1.10074 | − | 2.07782i | −0.0674909 | − | 0.127399i | ||||
\(267\) | 14.5927 | + | 4.83967i | 0.893058 | + | 0.296183i | ||||
\(268\) | −9.46472 | −0.578150 | ||||||||
\(269\) | 9.24219 | − | 16.0079i | 0.563506 | − | 0.976022i | −0.433681 | − | 0.901067i | \(-0.642785\pi\) |
0.997187 | − | 0.0749550i | \(-0.0238813\pi\) | |||||||
\(270\) | −19.1520 | + | 1.66066i | −1.16555 | + | 0.101065i | ||||
\(271\) | −3.67742 | − | 6.36947i | −0.223387 | − | 0.386918i | 0.732447 | − | 0.680824i | \(-0.238378\pi\) |
−0.955834 | + | 0.293906i | \(0.905045\pi\) | |||||||
\(272\) | 3.28799 | − | 5.69497i | 0.199364 | − | 0.345308i | ||||
\(273\) | 11.5927 | + | 4.31941i | 0.701622 | + | 0.261422i | ||||
\(274\) | 1.70582 | + | 2.95456i | 0.103052 | + | 0.178492i | ||||
\(275\) | 6.41597 | − | 11.1128i | 0.386897 | − | 0.670126i | ||||
\(276\) | −2.19963 | − | 10.6667i | −0.132402 | − | 0.642059i | ||||
\(277\) | 4.54944 | + | 7.87987i | 0.273349 | + | 0.473455i | 0.969717 | − | 0.244230i | \(-0.0785351\pi\) |
−0.696368 | + | 0.717685i | \(0.745202\pi\) | |||||||
\(278\) | −6.75526 | − | 11.7005i | −0.405154 | − | 0.701747i | ||||
\(279\) | 2.38255 | − | 20.2933i | 0.142639 | − | 1.21493i | ||||
\(280\) | −5.19963 | + | 8.29305i | −0.310737 | + | 0.495604i | ||||
\(281\) | 6.00433 | − | 10.3998i | 0.358188 | − | 0.620400i | −0.629470 | − | 0.777025i | \(-0.716728\pi\) |
0.987658 | + | 0.156624i | \(0.0500612\pi\) | |||||||
\(282\) | 9.04325 | − | 8.04364i | 0.538518 | − | 0.478992i | ||||
\(283\) | 9.84294 | 0.585102 | 0.292551 | − | 0.956250i | \(-0.405496\pi\) | ||||
0.292551 | + | 0.956250i | \(0.405496\pi\) | |||||||
\(284\) | −5.46472 | −0.324271 | ||||||||
\(285\) | −4.25526 | + | 3.78490i | −0.252060 | + | 0.224198i | ||||
\(286\) | 1.99381 | − | 3.45338i | 0.117896 | − | 0.204203i | ||||
\(287\) | −5.09201 | − | 9.61192i | −0.300572 | − | 0.567373i | ||||
\(288\) | 0.349814 | − | 2.97954i | 0.0206130 | − | 0.175571i | ||||
\(289\) | −13.1218 | − | 22.7276i | −0.771870 | − | 1.33692i | ||||
\(290\) | 4.64400 | + | 8.04364i | 0.272705 | + | 0.472339i | ||||
\(291\) | −4.60940 | − | 22.3524i | −0.270208 | − | 1.31032i | ||||
\(292\) | −6.03273 | + | 10.4490i | −0.353039 | + | 0.611481i | ||||
\(293\) | 10.7101 | + | 18.5505i | 0.625694 | + | 1.08373i | 0.988406 | + | 0.151832i | \(0.0485173\pi\) |
−0.362713 | + | 0.931901i | \(0.618149\pi\) | |||||||
\(294\) | −9.62178 | + | 7.37708i | −0.561154 | + | 0.430240i | ||||
\(295\) | −12.7818 | + | 22.1387i | −0.744185 | + | 1.28897i | ||||
\(296\) | −1.38874 | − | 2.40536i | −0.0807186 | − | 0.139809i | ||||
\(297\) | −3.24907 | + | 6.95362i | −0.188530 | + | 0.403490i | ||||
\(298\) | −0.166896 | + | 0.289073i | −0.00966804 | + | 0.0167455i | ||||
\(299\) | 16.9752 | 0.981704 | ||||||||
\(300\) | 14.2818 | + | 4.73656i | 0.824560 | + | 0.273465i | ||||
\(301\) | 0.0173990 | − | 0.0277502i | 0.00100286 | − | 0.00159950i | ||||
\(302\) | 9.95489 | + | 17.2424i | 0.572839 | + | 0.992187i | ||||
\(303\) | 8.63849 | + | 2.86496i | 0.496269 | + | 0.164587i | ||||
\(304\) | −0.444368 | − | 0.769668i | −0.0254862 | − | 0.0441435i | ||||
\(305\) | 10.6051 | − | 18.3685i | 0.607245 | − | 1.05178i | ||||
\(306\) | −15.8182 | − | 11.7889i | −0.904265 | − | 0.673925i | ||||
\(307\) | −5.68725 | −0.324588 | −0.162294 | − | 0.986742i | \(-0.551889\pi\) | ||||
−0.162294 | + | 0.986742i | \(0.551889\pi\) | |||||||
\(308\) | 1.82946 | + | 3.45338i | 0.104243 | + | 0.196775i | ||||
\(309\) | −0.582863 | − | 2.82648i | −0.0331579 | − | 0.160793i | ||||
\(310\) | −12.5989 | + | 21.8219i | −0.715569 | + | 1.23940i | ||||
\(311\) | −11.7207 | −0.664618 | −0.332309 | − | 0.943171i | \(-0.607828\pi\) | ||||
−0.332309 | + | 0.943171i | \(0.607828\pi\) | |||||||
\(312\) | 4.43818 | + | 1.47192i | 0.251262 | + | 0.0833311i | ||||
\(313\) | −26.7738 | −1.51334 | −0.756671 | − | 0.653796i | \(-0.773176\pi\) | ||||
−0.756671 | + | 0.653796i | \(0.773176\pi\) | |||||||
\(314\) | −6.96286 | −0.392937 | ||||||||
\(315\) | 22.8905 | + | 18.3935i | 1.28973 | + | 1.03636i | ||||
\(316\) | 11.4523 | 0.644244 | ||||||||
\(317\) | 1.90249 | 0.106855 | 0.0534273 | − | 0.998572i | \(-0.482985\pi\) | ||||
0.0534273 | + | 0.998572i | \(0.482985\pi\) | |||||||
\(318\) | −1.12296 | − | 5.44556i | −0.0629722 | − | 0.305372i | ||||
\(319\) | 3.70829 | 0.207624 | ||||||||
\(320\) | −1.84981 | + | 3.20397i | −0.103408 | + | 0.179107i | ||||
\(321\) | 17.6978 | + | 5.86946i | 0.987793 | + | 0.327601i | ||||
\(322\) | −8.83743 | + | 14.0951i | −0.492491 | + | 0.785489i | ||||
\(323\) | −5.84431 | −0.325186 | ||||||||
\(324\) | −8.75526 | − | 2.08457i | −0.486403 | − | 0.115809i | ||||
\(325\) | −11.7262 | + | 20.3103i | −0.650451 | + | 1.12661i | ||||
\(326\) | 4.03706 | + | 6.99240i | 0.223592 | + | 0.387273i | ||||
\(327\) | −0.0661525 | − | 0.320794i | −0.00365824 | − | 0.0177400i | ||||
\(328\) | −2.05563 | − | 3.56046i | −0.113503 | − | 0.196593i | ||||
\(329\) | −18.4752 | − | 0.673310i | −1.01857 | − | 0.0371208i | ||||
\(330\) | 7.07234 | − | 6.29059i | 0.389320 | − | 0.346285i | ||||
\(331\) | 5.56732 | 0.306008 | 0.153004 | − | 0.988226i | \(-0.451105\pi\) | ||||
0.153004 | + | 0.988226i | \(0.451105\pi\) | |||||||
\(332\) | 2.23855 | − | 3.87728i | 0.122856 | − | 0.212794i | ||||
\(333\) | −7.65266 | + | 3.29636i | −0.419363 | + | 0.180639i | ||||
\(334\) | 9.74288 | + | 16.8752i | 0.533107 | + | 0.923368i | ||||
\(335\) | 17.5080 | − | 30.3247i | 0.956563 | − | 1.65682i | ||||
\(336\) | −3.53273 | + | 2.91887i | −0.192726 | + | 0.159237i | ||||
\(337\) | −16.8869 | − | 29.2489i | −0.919887 | − | 1.59329i | −0.799585 | − | 0.600553i | \(-0.794947\pi\) |
−0.120302 | − | 0.992737i | \(-0.538386\pi\) | |||||||
\(338\) | 2.85600 | − | 4.94674i | 0.155346 | − | 0.269067i | ||||
\(339\) | 22.2985 | + | 7.39530i | 1.21109 | + | 0.401657i | ||||
\(340\) | 12.1643 | + | 21.0693i | 0.659704 | + | 1.14264i | ||||
\(341\) | 5.03018 | + | 8.71253i | 0.272400 | + | 0.471810i | ||||
\(342\) | −2.44870 | + | 1.05477i | −0.132410 | + | 0.0570354i | ||||
\(343\) | 18.4098 | + | 2.01993i | 0.994035 | + | 0.109066i | ||||
\(344\) | 0.00618986 | − | 0.0107211i | 0.000333735 | − | 0.000578045i | ||||
\(345\) | 38.2447 | + | 12.6838i | 2.05902 | + | 0.682875i | ||||
\(346\) | 22.5636 | 1.21303 | ||||||||
\(347\) | −30.4065 | −1.63231 | −0.816154 | − | 0.577834i | \(-0.803898\pi\) | ||||
−0.816154 | + | 0.577834i | \(0.803898\pi\) | |||||||
\(348\) | 0.878215 | + | 4.25874i | 0.0470773 | + | 0.228292i | ||||
\(349\) | −6.29782 | + | 10.9082i | −0.337115 | + | 0.583900i | −0.983889 | − | 0.178782i | \(-0.942784\pi\) |
0.646774 | + | 0.762682i | \(0.276118\pi\) | |||||||
\(350\) | −10.7596 | − | 20.3103i | −0.575124 | − | 1.08563i | ||||
\(351\) | 5.93818 | − | 12.7088i | 0.316956 | − | 0.678346i | ||||
\(352\) | 0.738550 | + | 1.27921i | 0.0393648 | + | 0.0681819i | ||||
\(353\) | 3.76578 | + | 6.52252i | 0.200432 | + | 0.347159i | 0.948668 | − | 0.316274i | \(-0.102432\pi\) |
−0.748235 | + | 0.663433i | \(0.769099\pi\) | |||||||
\(354\) | −8.94251 | + | 7.95403i | −0.475289 | + | 0.422752i | ||||
\(355\) | 10.1087 | − | 17.5088i | 0.536515 | − | 0.929271i | ||||
\(356\) | −4.43818 | − | 7.68715i | −0.235223 | − | 0.407418i | ||||
\(357\) | 5.00728 | + | 29.7160i | 0.265014 | + | 1.57274i | ||||
\(358\) | 0.166896 | − | 0.289073i | 0.00882074 | − | 0.0152780i | ||||
\(359\) | −3.44801 | − | 5.97213i | −0.181979 | − | 0.315197i | 0.760575 | − | 0.649250i | \(-0.224917\pi\) |
−0.942554 | + | 0.334053i | \(0.891584\pi\) | |||||||
\(360\) | 8.89926 | + | 6.63238i | 0.469032 | + | 0.349557i | ||||
\(361\) | 9.10507 | − | 15.7705i | 0.479214 | − | 0.830024i | ||||
\(362\) | 23.2422 | 1.22158 | ||||||||
\(363\) | 3.08472 | + | 14.9588i | 0.161906 | + | 0.785132i | ||||
\(364\) | −3.34362 | − | 6.31159i | −0.175254 | − | 0.330817i | ||||
\(365\) | −22.3189 | − | 38.6574i | −1.16822 | − | 2.02342i | ||||
\(366\) | 7.41961 | − | 6.59947i | 0.387829 | − | 0.344960i | ||||
\(367\) | −11.5618 | − | 20.0257i | −0.603522 | − | 1.04533i | −0.992283 | − | 0.123992i | \(-0.960430\pi\) |
0.388761 | − | 0.921339i | \(-0.372903\pi\) | |||||||
\(368\) | −3.14400 | + | 5.44556i | −0.163892 | + | 0.283869i | ||||
\(369\) | −11.3276 | + | 4.87933i | −0.589691 | + | 0.254008i | ||||
\(370\) | 10.2756 | 0.534204 | ||||||||
\(371\) | −4.51169 | + | 7.19583i | −0.234235 | + | 0.373589i | ||||
\(372\) | −8.81453 | + | 7.84020i | −0.457012 | + | 0.406495i | ||||
\(373\) | −14.5822 | + | 25.2571i | −0.755036 | + | 1.30776i | 0.190320 | + | 0.981722i | \(0.439047\pi\) |
−0.945356 | + | 0.326039i | \(0.894286\pi\) | |||||||
\(374\) | 9.71339 | 0.502267 | ||||||||
\(375\) | −17.6545 | + | 15.7030i | −0.911675 | + | 0.810901i | ||||
\(376\) | −6.98762 | −0.360359 | ||||||||
\(377\) | −6.77747 | −0.349058 | ||||||||
\(378\) | 7.46108 | + | 11.5470i | 0.383756 | + | 0.593912i | ||||
\(379\) | −13.5622 | −0.696645 | −0.348322 | − | 0.937375i | \(-0.613249\pi\) | ||||
−0.348322 | + | 0.937375i | \(0.613249\pi\) | |||||||
\(380\) | 3.28799 | 0.168670 | ||||||||
\(381\) | 3.69708 | − | 3.28842i | 0.189407 | − | 0.168471i | ||||
\(382\) | −16.3214 | −0.835076 | ||||||||
\(383\) | 1.41783 | − | 2.45575i | 0.0724475 | − | 0.125483i | −0.827526 | − | 0.561428i | \(-0.810252\pi\) |
0.899973 | + | 0.435945i | \(0.143586\pi\) | |||||||
\(384\) | −1.29418 | + | 1.15113i | −0.0660434 | + | 0.0587432i | ||||
\(385\) | −14.4487 | − | 0.526567i | −0.736374 | − | 0.0268364i | ||||
\(386\) | −14.3214 | −0.728941 | ||||||||
\(387\) | −0.0297787 | − | 0.0221933i | −0.00151374 | − | 0.00112815i | ||||
\(388\) | −6.58836 | + | 11.4114i | −0.334474 | + | 0.579325i | ||||
\(389\) | 9.30401 | + | 16.1150i | 0.471732 | + | 0.817064i | 0.999477 | − | 0.0323388i | \(-0.0102956\pi\) |
−0.527745 | + | 0.849403i | \(0.676962\pi\) | |||||||
\(390\) | −12.9258 | + | 11.4970i | −0.654523 | + | 0.582174i | ||||
\(391\) | 20.6749 | + | 35.8099i | 1.04557 | + | 1.81099i | ||||
\(392\) | 6.98143 | + | 0.509538i | 0.352615 | + | 0.0257356i | ||||
\(393\) | −0.0544615 | − | 0.264101i | −0.00274722 | − | 0.0133221i | ||||
\(394\) | 2.42402 | 0.122120 | ||||||||
\(395\) | −21.1847 | + | 36.6930i | −1.06592 | + | 1.84622i | ||||
\(396\) | 4.06979 | − | 1.75305i | 0.204515 | − | 0.0880941i | ||||
\(397\) | −10.2880 | − | 17.8193i | −0.516340 | − | 0.894326i | −0.999820 | − | 0.0189712i | \(-0.993961\pi\) |
0.483481 | − | 0.875355i | \(-0.339372\pi\) | |||||||
\(398\) | −3.05563 | + | 5.29251i | −0.153165 | + | 0.265290i | ||||
\(399\) | 3.81639 | + | 1.42198i | 0.191059 | + | 0.0711879i | ||||
\(400\) | −4.34362 | − | 7.52338i | −0.217181 | − | 0.376169i | ||||
\(401\) | 3.37704 | − | 5.84921i | 0.168642 | − | 0.292096i | −0.769301 | − | 0.638887i | \(-0.779395\pi\) |
0.937942 | + | 0.346791i | \(0.112729\pi\) | |||||||
\(402\) | 12.2491 | − | 10.8951i | 0.610928 | − | 0.543398i | ||||
\(403\) | −9.19344 | − | 15.9235i | −0.457958 | − | 0.793206i | ||||
\(404\) | −2.62729 | − | 4.55059i | −0.130712 | − | 0.226400i | ||||
\(405\) | 22.8745 | − | 24.1955i | 1.13664 | − | 1.20229i | ||||
\(406\) | 3.52840 | − | 5.62755i | 0.175112 | − | 0.279291i | ||||
\(407\) | 2.05130 | − | 3.55296i | 0.101679 | − | 0.176114i | ||||
\(408\) | 2.30037 | + | 11.1552i | 0.113885 | + | 0.552266i | ||||
\(409\) | 15.3214 | 0.757595 | 0.378798 | − | 0.925480i | \(-0.376338\pi\) | ||||
0.378798 | + | 0.925480i | \(0.376338\pi\) | |||||||
\(410\) | 15.2101 | 0.751176 | ||||||||
\(411\) | −5.60872 | − | 1.86013i | −0.276658 | − | 0.0917534i | ||||
\(412\) | −0.833104 | + | 1.44298i | −0.0410441 | + | 0.0710904i | ||||
\(413\) | 18.2694 | + | 0.665809i | 0.898980 | + | 0.0327623i | ||||
\(414\) | 15.1254 | + | 11.2726i | 0.743374 | + | 0.554017i | ||||
\(415\) | 8.28180 | + | 14.3445i | 0.406538 | + | 0.704144i | ||||
\(416\) | −1.34981 | − | 2.33795i | −0.0661801 | − | 0.114627i | ||||
\(417\) | 22.2112 | + | 7.36636i | 1.08769 | + | 0.360732i | ||||
\(418\) | 0.656376 | − | 1.13688i | 0.0321044 | − | 0.0556064i | ||||
\(419\) | −4.32141 | − | 7.48491i | −0.211115 | − | 0.365662i | 0.740949 | − | 0.671561i | \(-0.234376\pi\) |
−0.952064 | + | 0.305900i | \(0.901043\pi\) | |||||||
\(420\) | −2.81708 | − | 16.7181i | −0.137460 | − | 0.815762i | ||||
\(421\) | 18.5636 | − | 32.1531i | 0.904735 | − | 1.56705i | 0.0834618 | − | 0.996511i | \(-0.473402\pi\) |
0.821273 | − | 0.570536i | \(-0.193264\pi\) | |||||||
\(422\) | 5.72253 | + | 9.91171i | 0.278568 | + | 0.482494i | ||||
\(423\) | −2.44437 | + | 20.8199i | −0.118849 | + | 1.01230i | ||||
\(424\) | −1.60507 | + | 2.78007i | −0.0779493 | + | 0.135012i | ||||
\(425\) | −57.1272 | −2.77108 | ||||||||
\(426\) | 7.07234 | − | 6.29059i | 0.342656 | − | 0.304780i | ||||
\(427\) | −15.1582 | − | 0.552423i | −0.733555 | − | 0.0267336i | ||||
\(428\) | −5.38255 | − | 9.32284i | −0.260175 | − | 0.450637i | ||||
\(429\) | 1.39493 | + | 6.76443i | 0.0673476 | + | 0.326590i | ||||
\(430\) | 0.0229002 | + | 0.0396643i | 0.00110434 | + | 0.00191278i | ||||
\(431\) | −4.71015 | + | 8.15822i | −0.226880 | + | 0.392967i | −0.956882 | − | 0.290478i | \(-0.906186\pi\) |
0.730002 | + | 0.683445i | \(0.239519\pi\) | |||||||
\(432\) | 2.97710 | + | 4.25874i | 0.143236 | + | 0.204899i | ||||
\(433\) | −0.208771 | −0.0100329 | −0.00501645 | − | 0.999987i | \(-0.501597\pi\) | ||||
−0.00501645 | + | 0.999987i | \(0.501597\pi\) | |||||||
\(434\) | 18.0080 | + | 0.656281i | 0.864410 | + | 0.0315025i | ||||
\(435\) | −15.2694 | − | 5.06410i | −0.732113 | − | 0.242805i | ||||
\(436\) | −0.0945538 | + | 0.163772i | −0.00452831 | + | 0.00784326i | ||||
\(437\) | 5.58836 | 0.267328 | ||||||||
\(438\) | −4.22067 | − | 20.4673i | −0.201671 | − | 0.977968i | ||||
\(439\) | −9.96796 | −0.475745 | −0.237872 | − | 0.971296i | \(-0.576450\pi\) | ||||
−0.237872 | + | 0.971296i | \(0.576450\pi\) | |||||||
\(440\) | −5.46472 | −0.260520 | ||||||||
\(441\) | 3.96039 | − | 20.6232i | 0.188590 | − | 0.982056i | ||||
\(442\) | −17.7527 | −0.844410 | ||||||||
\(443\) | −15.6996 | −0.745912 | −0.372956 | − | 0.927849i | \(-0.621656\pi\) | ||||
−0.372956 | + | 0.927849i | \(0.621656\pi\) | |||||||
\(444\) | 4.56615 | + | 1.51436i | 0.216700 | + | 0.0718685i | ||||
\(445\) | 32.8392 | 1.55673 | ||||||||
\(446\) | −3.61126 | + | 6.25489i | −0.170998 | + | 0.296178i | ||||
\(447\) | −0.116765 | − | 0.566231i | −0.00552281 | − | 0.0267818i | ||||
\(448\) | 2.64400 | + | 0.0963576i | 0.124917 | + | 0.00455247i | ||||
\(449\) | 33.6253 | 1.58688 | 0.793439 | − | 0.608650i | \(-0.208288\pi\) | ||||
0.793439 | + | 0.608650i | \(0.208288\pi\) | |||||||
\(450\) | −23.9356 | + | 10.3102i | −1.12834 | + | 0.486027i | ||||
\(451\) | 3.03637 | − | 5.25915i | 0.142977 | − | 0.247644i | ||||
\(452\) | −6.78180 | − | 11.7464i | −0.318989 | − | 0.552505i | ||||
\(453\) | −32.7316 | − | 10.8554i | −1.53786 | − | 0.510033i | ||||
\(454\) | −6.82760 | − | 11.8258i | −0.320435 | − | 0.555010i | ||||
\(455\) | 26.4072 | + | 0.962383i | 1.23799 | + | 0.0451172i | ||||
\(456\) | 1.46108 | + | 0.484566i | 0.0684213 | + | 0.0226919i | ||||
\(457\) | 32.7083 | 1.53003 | 0.765015 | − | 0.644013i | \(-0.222732\pi\) | ||||
0.765015 | + | 0.644013i | \(0.222732\pi\) | |||||||
\(458\) | −8.68725 | + | 15.0468i | −0.405928 | + | 0.703089i | ||||
\(459\) | 34.0421 | − | 2.95178i | 1.58895 | − | 0.137778i | ||||
\(460\) | −11.6316 | − | 20.1466i | −0.542327 | − | 0.939338i | ||||
\(461\) | −2.07165 | + | 3.58821i | −0.0964865 | + | 0.167120i | −0.910228 | − | 0.414107i | \(-0.864094\pi\) |
0.813742 | + | 0.581227i | \(0.197427\pi\) | |||||||
\(462\) | −6.34294 | − | 2.36336i | −0.295100 | − | 0.109953i | ||||
\(463\) | −8.34176 | − | 14.4484i | −0.387675 | − | 0.671472i | 0.604462 | − | 0.796634i | \(-0.293388\pi\) |
−0.992136 | + | 0.125162i | \(0.960055\pi\) | |||||||
\(464\) | 1.25526 | − | 2.17417i | 0.0582740 | − | 0.100934i | ||||
\(465\) | −8.81453 | − | 42.7444i | −0.408764 | − | 1.98223i | ||||
\(466\) | 7.62110 | + | 13.2001i | 0.353040 | + | 0.611484i | ||||
\(467\) | 14.9585 | + | 25.9089i | 0.692198 | + | 1.19892i | 0.971116 | + | 0.238608i | \(0.0766909\pi\) |
−0.278918 | + | 0.960315i | \(0.589976\pi\) | |||||||
\(468\) | −7.43818 | + | 3.20397i | −0.343830 | + | 0.148104i | ||||
\(469\) | −25.0247 | − | 0.911998i | −1.15553 | − | 0.0421121i | ||||
\(470\) | 12.9258 | − | 22.3881i | 0.596223 | − | 1.03269i | ||||
\(471\) | 9.01121 | − | 8.01514i | 0.415215 | − | 0.369318i | ||||
\(472\) | 6.90978 | 0.318048 | ||||||||
\(473\) | 0.0182861 | 0.000840794 | ||||||||
\(474\) | −14.8214 | + | 13.1831i | −0.680770 | + | 0.605520i | ||||
\(475\) | −3.86033 | + | 6.68630i | −0.177124 | + | 0.306788i | ||||
\(476\) | 9.24219 | − | 14.7407i | 0.423615 | − | 0.675637i | ||||
\(477\) | 7.72184 | + | 5.75488i | 0.353559 | + | 0.263498i | ||||
\(478\) | 9.47524 | + | 16.4116i | 0.433387 | + | 0.750649i | ||||
\(479\) | 1.47965 | + | 2.56283i | 0.0676068 | + | 0.117098i | 0.897847 | − | 0.440307i | \(-0.145130\pi\) |
−0.830241 | + | 0.557405i | \(0.811797\pi\) | |||||||
\(480\) | −1.29418 | − | 6.27589i | −0.0590711 | − | 0.286454i | ||||
\(481\) | −3.74907 | + | 6.49358i | −0.170943 | + | 0.296082i | ||||
\(482\) | 12.2527 | + | 21.2223i | 0.558096 | + | 0.966650i | ||||
\(483\) | −4.78799 | − | 28.4146i | −0.217861 | − | 1.29291i | ||||
\(484\) | 4.40909 | − | 7.63676i | 0.200413 | − | 0.347126i | ||||
\(485\) | −24.3745 | − | 42.2179i | −1.10679 | − | 1.91701i | ||||
\(486\) | 13.7305 | − | 7.38061i | 0.622828 | − | 0.334791i | ||||
\(487\) | −14.0309 | + | 24.3022i | −0.635800 | + | 1.10124i | 0.350546 | + | 0.936546i | \(0.385996\pi\) |
−0.986345 | + | 0.164691i | \(0.947337\pi\) | |||||||
\(488\) | −5.73305 | −0.259523 | ||||||||
\(489\) | −13.2738 | − | 4.40226i | −0.600263 | − | 0.199077i | ||||
\(490\) | −14.5469 | + | 21.4258i | −0.657162 | + | 0.967917i | ||||
\(491\) | 17.0734 | + | 29.5721i | 0.770513 | + | 1.33457i | 0.937282 | + | 0.348572i | \(0.113333\pi\) |
−0.166769 | + | 0.985996i | \(0.553333\pi\) | |||||||
\(492\) | 6.75890 | + | 2.24159i | 0.304715 | + | 0.101059i | ||||
\(493\) | −8.25457 | − | 14.2973i | −0.371767 | − | 0.643920i | ||||
\(494\) | −1.19963 | + | 2.07782i | −0.0539738 | + | 0.0934854i | ||||
\(495\) | −1.91164 | + | 16.2823i | −0.0859216 | + | 0.731836i | ||||
\(496\) | 6.81089 | 0.305818 | ||||||||
\(497\) | −14.4487 | − | 0.526567i | −0.648113 | − | 0.0236198i | ||||
\(498\) | 1.56615 | + | 7.59476i | 0.0701810 | + | 0.340329i | ||||
\(499\) | 1.14035 | − | 1.97515i | 0.0510493 | − | 0.0884199i | −0.839372 | − | 0.543558i | \(-0.817077\pi\) |
0.890421 | + | 0.455138i | \(0.150410\pi\) | |||||||
\(500\) | 13.6414 | 0.610064 | ||||||||
\(501\) | −32.0345 | − | 10.6242i | −1.43120 | − | 0.474656i | ||||
\(502\) | −12.1236 | −0.541105 | ||||||||
\(503\) | 13.9890 | 0.623739 | 0.311869 | − | 0.950125i | \(-0.399045\pi\) | ||||
0.311869 | + | 0.950125i | \(0.399045\pi\) | |||||||
\(504\) | 1.21201 | − | 7.84417i | 0.0539871 | − | 0.349407i | ||||
\(505\) | 19.4400 | 0.865067 | ||||||||
\(506\) | −9.28799 | −0.412902 | ||||||||
\(507\) | 1.99814 | + | 9.68961i | 0.0887405 | + | 0.430331i | ||||
\(508\) | −2.85669 | −0.126745 | ||||||||
\(509\) | −12.8090 | + | 22.1859i | −0.567750 | + | 0.983373i | 0.429038 | + | 0.903287i | \(0.358853\pi\) |
−0.996788 | + | 0.0800859i | \(0.974481\pi\) | |||||||
\(510\) | −39.9963 | − | 13.2648i | −1.77107 | − | 0.587374i | ||||
\(511\) | −16.9574 | + | 27.0458i | −0.750149 | + | 1.19644i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.95489 | − | 4.18383i | 0.0863104 | − | 0.184720i | ||||
\(514\) | 4.10439 | − | 7.10900i | 0.181037 | − | 0.313565i | ||||
\(515\) | −3.08217 | − | 5.33848i | −0.135817 | − | 0.235242i | ||||
\(516\) | 0.00433060 | + | 0.0210004i | 0.000190644 | + | 0.000924492i | ||||
\(517\) | −5.16071 | − | 8.93861i | −0.226968 | − | 0.393119i | ||||
\(518\) | −3.44004 | − | 6.49358i | −0.151147 | − | 0.285312i | ||||
\(519\) | −29.2014 | + | 25.9736i | −1.28180 | + | 1.14011i | ||||
\(520\) | 9.98762 | 0.437986 | ||||||||
\(521\) | −20.9127 | + | 36.2219i | −0.916203 | + | 1.58691i | −0.111073 | + | 0.993812i | \(0.535429\pi\) |
−0.805130 | + | 0.593099i | \(0.797904\pi\) | |||||||
\(522\) | −6.03892 | − | 4.50065i | −0.264316 | − | 0.196988i | ||||
\(523\) | 7.88323 | + | 13.6542i | 0.344710 | + | 0.597055i | 0.985301 | − | 0.170827i | \(-0.0546440\pi\) |
−0.640591 | + | 0.767882i | \(0.721311\pi\) | |||||||
\(524\) | −0.0778435 | + | 0.134829i | −0.00340061 | + | 0.00589003i | ||||
\(525\) | 37.3046 | + | 13.8996i | 1.62811 | + | 0.606628i | ||||
\(526\) | 2.67309 | + | 4.62992i | 0.116552 | + | 0.201874i | ||||
\(527\) | 22.3942 | − | 38.7878i | 0.975505 | − | 1.68962i | ||||
\(528\) | −2.42835 | − | 0.805361i | −0.105680 | − | 0.0350488i | ||||
\(529\) | −8.26942 | − | 14.3231i | −0.359540 | − | 0.622742i | ||||
\(530\) | −5.93818 | − | 10.2852i | −0.257938 | − | 0.446762i | ||||
\(531\) | 2.41714 | − | 20.5879i | 0.104895 | − | 0.893440i | ||||
\(532\) | −1.10074 | − | 2.07782i | −0.0477233 | − | 0.0900848i | ||||
\(533\) | −5.54944 | + | 9.61192i | −0.240373 | + | 0.416338i | ||||
\(534\) | 14.5927 | + | 4.83967i | 0.631488 | + | 0.209433i | ||||
\(535\) | 39.8268 | 1.72186 | ||||||||
\(536\) | −9.46472 | −0.408814 | ||||||||
\(537\) | 0.116765 | + | 0.566231i | 0.00503879 | + | 0.0244347i | ||||
\(538\) | 9.24219 | − | 16.0079i | 0.398459 | − | 0.690152i | ||||
\(539\) | 4.50433 | + | 9.30701i | 0.194015 | + | 0.400881i | ||||
\(540\) | −19.1520 | + | 1.66066i | −0.824170 | + | 0.0714636i | ||||
\(541\) | −21.0963 | − | 36.5399i | −0.907002 | − | 1.57097i | −0.818207 | − | 0.574924i | \(-0.805031\pi\) |
−0.0887957 | − | 0.996050i | \(-0.528302\pi\) | |||||||
\(542\) | −3.67742 | − | 6.36947i | −0.157959 | − | 0.273592i | ||||
\(543\) | −30.0796 | + | 26.7547i | −1.29084 | + | 1.14815i | ||||
\(544\) | 3.28799 | − | 5.69497i | 0.140971 | − | 0.244170i | ||||
\(545\) | −0.349814 | − | 0.605896i | −0.0149844 | − | 0.0259537i | ||||
\(546\) | 11.5927 | + | 4.31941i | 0.496122 | + | 0.184854i | ||||
\(547\) | 20.3356 | − | 35.2222i | 0.869486 | − | 1.50599i | 0.00696400 | − | 0.999976i | \(-0.497783\pi\) |
0.862522 | − | 0.506019i | \(-0.168883\pi\) | |||||||
\(548\) | 1.70582 | + | 2.95456i | 0.0728689 | + | 0.126213i | ||||
\(549\) | −2.00550 | + | 17.0818i | −0.0855927 | + | 0.729034i | ||||
\(550\) | 6.41597 | − | 11.1128i | 0.273578 | − | 0.473851i | ||||
\(551\) | −2.23119 | −0.0950519 | ||||||||
\(552\) | −2.19963 | − | 10.6667i | −0.0936224 | − | 0.454004i | ||||
\(553\) | 30.2799 | + | 1.10352i | 1.28763 | + | 0.0469264i | ||||
\(554\) | 4.54944 | + | 7.87987i | 0.193287 | + | 0.334783i | ||||
\(555\) | −13.2985 | + | 11.8285i | −0.564490 | + | 0.502093i | ||||
\(556\) | −6.75526 | − | 11.7005i | −0.286487 | − | 0.496210i | ||||
\(557\) | 6.68794 | − | 11.5838i | 0.283377 | − | 0.490823i | −0.688837 | − | 0.724916i | \(-0.741879\pi\) |
0.972214 | + | 0.234093i | \(0.0752119\pi\) | |||||||
\(558\) | 2.38255 | − | 20.2933i | 0.100861 | − | 0.859084i | ||||
\(559\) | −0.0334206 | −0.00141354 | ||||||||
\(560\) | −5.19963 | + | 8.29305i | −0.219724 | + | 0.350445i | ||||
\(561\) | −12.5709 | + | 11.1813i | −0.530743 | + | 0.472076i | ||||
\(562\) | 6.00433 | − | 10.3998i | 0.253277 | − | 0.438689i | ||||
\(563\) | −32.7614 | −1.38073 | −0.690364 | − | 0.723463i | \(-0.742549\pi\) | ||||
−0.690364 | + | 0.723463i | \(0.742549\pi\) | |||||||
\(564\) | 9.04325 | − | 8.04364i | 0.380790 | − | 0.338698i | ||||
\(565\) | 50.1803 | 2.11110 | ||||||||
\(566\) | 9.84294 | 0.413729 | ||||||||
\(567\) | −22.9480 | − | 6.35522i | −0.963726 | − | 0.266894i | ||||
\(568\) | −5.46472 | −0.229295 | ||||||||
\(569\) | −16.7280 | −0.701272 | −0.350636 | − | 0.936512i | \(-0.614035\pi\) | ||||
−0.350636 | + | 0.936512i | \(0.614035\pi\) | |||||||
\(570\) | −4.25526 | + | 3.78490i | −0.178233 | + | 0.158532i | ||||
\(571\) | −27.4734 | −1.14973 | −0.574863 | − | 0.818250i | \(-0.694945\pi\) | ||||
−0.574863 | + | 0.818250i | \(0.694945\pi\) | |||||||
\(572\) | 1.99381 | − | 3.45338i | 0.0833654 | − | 0.144393i | ||||
\(573\) | 21.1229 | − | 18.7880i | 0.882421 | − | 0.784881i | ||||
\(574\) | −5.09201 | − | 9.61192i | −0.212536 | − | 0.401194i | ||||
\(575\) | 54.6253 | 2.27803 | ||||||||
\(576\) | 0.349814 | − | 2.97954i | 0.0145756 | − | 0.124147i | ||||
\(577\) | 1.41714 | − | 2.45455i | 0.0589962 | − | 0.102184i | −0.835019 | − | 0.550221i | \(-0.814543\pi\) |
0.894015 | + | 0.448037i | \(0.147877\pi\) | |||||||
\(578\) | −13.1218 | − | 22.7276i | −0.545794 | − | 0.945343i | ||||
\(579\) | 18.5345 | − | 16.4858i | 0.770268 | − | 0.685125i | ||||
\(580\) | 4.64400 | + | 8.04364i | 0.192831 | + | 0.333994i | ||||
\(581\) | 6.29232 | − | 10.0358i | 0.261050 | − | 0.416356i | ||||
\(582\) | −4.60940 | − | 22.3524i | −0.191066 | − | 0.926539i | ||||
\(583\) | −4.74171 | −0.196382 | ||||||||
\(584\) | −6.03273 | + | 10.4490i | −0.249636 | + | 0.432383i | ||||
\(585\) | 3.49381 | − | 29.7585i | 0.144451 | − | 1.23036i | ||||
\(586\) | 10.7101 | + | 18.5505i | 0.442432 | + | 0.766315i | ||||
\(587\) | −2.34795 | + | 4.06678i | −0.0969105 | + | 0.167854i | −0.910404 | − | 0.413720i | \(-0.864229\pi\) |
0.813494 | + | 0.581573i | \(0.197563\pi\) | |||||||
\(588\) | −9.62178 | + | 7.37708i | −0.396796 | + | 0.304226i | ||||
\(589\) | −3.02654 | − | 5.24212i | −0.124706 | − | 0.215998i | ||||
\(590\) | −12.7818 | + | 22.1387i | −0.526218 | + | 0.911437i | ||||
\(591\) | −3.13712 | + | 2.79035i | −0.129044 | + | 0.114780i | ||||
\(592\) | −1.38874 | − | 2.40536i | −0.0570767 | − | 0.0988597i | ||||
\(593\) | 0.636024 | + | 1.10163i | 0.0261184 | + | 0.0452383i | 0.878789 | − | 0.477210i | \(-0.158352\pi\) |
−0.852671 | + | 0.522449i | \(0.825019\pi\) | |||||||
\(594\) | −3.24907 | + | 6.95362i | −0.133311 | + | 0.285310i | ||||
\(595\) | 30.1323 | + | 56.8792i | 1.23530 | + | 2.33182i | ||||
\(596\) | −0.166896 | + | 0.289073i | −0.00683634 | + | 0.0118409i | ||||
\(597\) | −2.13781 | − | 10.3669i | −0.0874946 | − | 0.424289i | ||||
\(598\) | 16.9752 | 0.694169 | ||||||||
\(599\) | 43.8516 | 1.79173 | 0.895864 | − | 0.444329i | \(-0.146558\pi\) | ||||
0.895864 | + | 0.444329i | \(0.146558\pi\) | |||||||
\(600\) | 14.2818 | + | 4.73656i | 0.583052 | + | 0.193369i | ||||
\(601\) | −6.71634 | + | 11.6330i | −0.273965 | + | 0.474522i | −0.969874 | − | 0.243609i | \(-0.921669\pi\) |
0.695908 | + | 0.718131i | \(0.255002\pi\) | |||||||
\(602\) | 0.0173990 | − | 0.0277502i | 0.000709131 | − | 0.00113101i | ||||
\(603\) | −3.31089 | + | 28.2005i | −0.134830 | + | 1.14841i | ||||
\(604\) | 9.95489 | + | 17.2424i | 0.405059 | + | 0.701582i | ||||
\(605\) | 16.3120 | + | 28.2532i | 0.663177 | + | 1.14866i | ||||
\(606\) | 8.63849 | + | 2.86496i | 0.350915 | + | 0.116381i | ||||
\(607\) | 2.29232 | − | 3.97042i | 0.0930425 | − | 0.161154i | −0.815747 | − | 0.578408i | \(-0.803674\pi\) |
0.908790 | + | 0.417254i | \(0.137007\pi\) | |||||||
\(608\) | −0.444368 | − | 0.769668i | −0.0180215 | − | 0.0312142i | ||||
\(609\) | 1.91164 | + | 11.3447i | 0.0774634 | + | 0.459711i | ||||
\(610\) | 10.6051 | − | 18.3685i | 0.429387 | − | 0.743720i | ||||
\(611\) | 9.43199 | + | 16.3367i | 0.381577 | + | 0.660911i | ||||
\(612\) | −15.8182 | − | 11.7889i | −0.639412 | − | 0.476537i | ||||
\(613\) | −11.0538 | + | 19.1457i | −0.446458 | + | 0.773287i | −0.998152 | − | 0.0607587i | \(-0.980648\pi\) |
0.551695 | + | 0.834046i | \(0.313981\pi\) | |||||||
\(614\) | −5.68725 | −0.229519 | ||||||||
\(615\) | −19.6847 | + | 17.5088i | −0.793764 | + | 0.706023i | ||||
\(616\) | 1.82946 | + | 3.45338i | 0.0737111 | + | 0.139141i | ||||
\(617\) | 6.00433 | + | 10.3998i | 0.241725 | + | 0.418680i | 0.961206 | − | 0.275832i | \(-0.0889534\pi\) |
−0.719481 | + | 0.694513i | \(0.755620\pi\) | |||||||
\(618\) | −0.582863 | − | 2.82648i | −0.0234462 | − | 0.113698i | ||||
\(619\) | 8.78180 | + | 15.2105i | 0.352970 | + | 0.611363i | 0.986768 | − | 0.162136i | \(-0.0518383\pi\) |
−0.633798 | + | 0.773499i | \(0.718505\pi\) | |||||||
\(620\) | −12.5989 | + | 21.8219i | −0.505983 | + | 0.876389i | ||||
\(621\) | −32.5512 | + | 2.82251i | −1.30624 | + | 0.113264i | ||||
\(622\) | −11.7207 | −0.469956 | ||||||||
\(623\) | −10.9938 | − | 20.7524i | −0.440458 | − | 0.831429i | ||||
\(624\) | 4.43818 | + | 1.47192i | 0.177669 | + | 0.0589240i | ||||
\(625\) | −3.51602 | + | 6.08993i | −0.140641 | + | 0.243597i | ||||
\(626\) | −26.7738 | −1.07009 | ||||||||
\(627\) | 0.459219 | + | 2.22690i | 0.0183394 | + | 0.0889337i | ||||
\(628\) | −6.96286 | −0.277848 | ||||||||
\(629\) | −18.2646 | −0.728258 | ||||||||
\(630\) | 22.8905 | + | 18.3935i | 0.911980 | + | 0.732815i | ||||
\(631\) | −44.9381 | −1.78896 | −0.894479 | − | 0.447110i | \(-0.852453\pi\) | ||||
−0.894479 | + | 0.447110i | \(0.852453\pi\) | |||||||
\(632\) | 11.4523 | 0.455550 | ||||||||
\(633\) | −18.8156 | − | 6.24020i | −0.747854 | − | 0.248026i | ||||
\(634\) | 1.90249 | 0.0755576 | ||||||||
\(635\) | 5.28435 | − | 9.15276i | 0.209703 | − | 0.363216i | ||||
\(636\) | −1.12296 | − | 5.44556i | −0.0445281 | − | 0.215931i | ||||
\(637\) | −8.23236 | − | 17.0100i | −0.326178 | − | 0.673960i | ||||
\(638\) | 3.70829 | 0.146813 | ||||||||
\(639\) | −1.91164 | + | 16.2823i | −0.0756232 | + | 0.644119i | ||||
\(640\) | −1.84981 | + | 3.20397i | −0.0731203 | + | 0.126648i | ||||
\(641\) | 14.4920 | + | 25.1008i | 0.572398 | + | 0.991422i | 0.996319 | + | 0.0857228i | \(0.0273199\pi\) |
−0.423921 | + | 0.905699i | \(0.639347\pi\) | |||||||
\(642\) | 17.6978 | + | 5.86946i | 0.698475 | + | 0.231649i | ||||
\(643\) | 6.03087 | + | 10.4458i | 0.237834 | + | 0.411941i | 0.960093 | − | 0.279682i | \(-0.0902291\pi\) |
−0.722258 | + | 0.691623i | \(0.756896\pi\) | |||||||
\(644\) | −8.83743 | + | 14.0951i | −0.348244 | + | 0.555425i | ||||
\(645\) | −0.0752956 | − | 0.0249718i | −0.00296476 | − | 0.000983262i | ||||
\(646\) | −5.84431 | −0.229941 | ||||||||
\(647\) | 18.8825 | − | 32.7055i | 0.742349 | − | 1.28579i | −0.209073 | − | 0.977900i | \(-0.567045\pi\) |
0.951423 | − | 0.307887i | \(-0.0996219\pi\) | |||||||
\(648\) | −8.75526 | − | 2.08457i | −0.343939 | − | 0.0818895i | ||||
\(649\) | 5.10322 | + | 8.83903i | 0.200319 | + | 0.346962i | ||||
\(650\) | −11.7262 | + | 20.3103i | −0.459938 | + | 0.796636i | ||||
\(651\) | −24.0611 | + | 19.8801i | −0.943027 | + | 0.779163i | ||||
\(652\) | 4.03706 | + | 6.99240i | 0.158104 | + | 0.273843i | ||||
\(653\) | −18.7040 | + | 32.3962i | −0.731942 | + | 1.26776i | 0.224109 | + | 0.974564i | \(0.428053\pi\) |
−0.956052 | + | 0.293198i | \(0.905281\pi\) | |||||||
\(654\) | −0.0661525 | − | 0.320794i | −0.00258677 | − | 0.0125441i | ||||
\(655\) | −0.287992 | − | 0.498817i | −0.0112528 | − | 0.0194904i | ||||
\(656\) | −2.05563 | − | 3.56046i | −0.0802589 | − | 0.139013i | ||||
\(657\) | 29.0228 | + | 21.6299i | 1.13229 | + | 0.843864i | ||||
\(658\) | −18.4752 | − | 0.673310i | −0.720240 | − | 0.0262484i | ||||
\(659\) | 14.9356 | − | 25.8693i | 0.581810 | − | 1.00772i | −0.413455 | − | 0.910524i | \(-0.635678\pi\) |
0.995265 | − | 0.0971993i | \(-0.0309884\pi\) | |||||||
\(660\) | 7.07234 | − | 6.29059i | 0.275291 | − | 0.244861i | ||||
\(661\) | 5.60803 | 0.218127 | 0.109063 | − | 0.994035i | \(-0.465215\pi\) | ||||
0.109063 | + | 0.994035i | \(0.465215\pi\) | |||||||
\(662\) | 5.56732 | 0.216380 | ||||||||
\(663\) | 22.9752 | − | 20.4356i | 0.892284 | − | 0.793654i | ||||
\(664\) | 2.23855 | − | 3.87728i | 0.0868726 | − | 0.150468i | ||||
\(665\) | 8.69344 | + | 0.316823i | 0.337117 | + | 0.0122859i | ||||
\(666\) | −7.65266 | + | 3.29636i | −0.296534 | + | 0.127731i | ||||
\(667\) | 7.89307 | + | 13.6712i | 0.305621 | + | 0.529351i | ||||
\(668\) | 9.74288 | + | 16.8752i | 0.376963 | + | 0.652920i | ||||
\(669\) | −2.52654 | − | 12.2520i | −0.0976818 | − | 0.473689i | ||||
\(670\) | 17.5080 | − | 30.3247i | 0.676392 | − | 1.17155i | ||||
\(671\) | −4.23414 | − | 7.33375i | −0.163457 | − | 0.283116i | ||||
\(672\) | −3.53273 | + | 2.91887i | −0.136278 | + | 0.112598i | ||||
\(673\) | −4.72253 | + | 8.17966i | −0.182040 | + | 0.315303i | −0.942575 | − | 0.333994i | \(-0.891603\pi\) |
0.760535 | + | 0.649297i | \(0.224937\pi\) | |||||||
\(674\) | −16.8869 | − | 29.2489i | −0.650458 | − | 1.12663i | ||||
\(675\) | 19.1087 | − | 40.8962i | 0.735495 | − | 1.57410i | ||||
\(676\) | 2.85600 | − | 4.94674i | 0.109846 | − | 0.190259i | ||||
\(677\) | 11.0617 | 0.425137 | 0.212569 | − | 0.977146i | \(-0.431817\pi\) | ||||
0.212569 | + | 0.977146i | \(0.431817\pi\) | |||||||
\(678\) | 22.2985 | + | 7.39530i | 0.856369 | + | 0.284015i | ||||
\(679\) | −18.5192 | + | 29.5368i | −0.710701 | + | 1.13352i | ||||
\(680\) | 12.1643 | + | 21.0693i | 0.466481 | + | 0.807970i | ||||
\(681\) | 22.4491 | + | 7.44524i | 0.860252 | + | 0.285302i | ||||
\(682\) | 5.03018 | + | 8.71253i | 0.192616 | + | 0.333620i | ||||
\(683\) | −4.41961 | + | 7.65499i | −0.169112 | + | 0.292910i | −0.938108 | − | 0.346343i | \(-0.887423\pi\) |
0.768996 | + | 0.639253i | \(0.220757\pi\) | |||||||
\(684\) | −2.44870 | + | 1.05477i | −0.0936283 | + | 0.0403301i | ||||
\(685\) | −12.6218 | −0.482254 | ||||||||
\(686\) | 18.4098 | + | 2.01993i | 0.702889 | + | 0.0771213i | ||||
\(687\) | −6.07784 | − | 29.4734i | −0.231884 | − | 1.12448i | ||||
\(688\) | 0.00618986 | − | 0.0107211i | 0.000235986 | − | 0.000408740i | ||||
\(689\) | 8.66621 | 0.330156 | ||||||||
\(690\) | 38.2447 | + | 12.6838i | 1.45595 | + | 0.482865i | ||||
\(691\) | 25.0617 | 0.953394 | 0.476697 | − | 0.879068i | \(-0.341834\pi\) | ||||
0.476697 | + | 0.879068i | \(0.341834\pi\) | |||||||
\(692\) | 22.5636 | 0.857740 | ||||||||
\(693\) | 10.9294 | − | 4.24290i | 0.415175 | − | 0.161175i | ||||
\(694\) | −30.4065 | −1.15422 | ||||||||
\(695\) | 49.9839 | 1.89600 | ||||||||
\(696\) | 0.878215 | + | 4.25874i | 0.0332887 | + | 0.161427i | ||||
\(697\) | −27.0356 | −1.02405 | ||||||||
\(698\) | −6.29782 | + | 10.9082i | −0.238376 | + | 0.412880i | ||||
\(699\) | −25.0581 | − | 8.31052i | −0.947785 | − | 0.314333i | ||||
\(700\) | −10.7596 | − | 20.3103i | −0.406674 | − | 0.767658i | ||||
\(701\) | −43.4858 | −1.64243 | −0.821217 | − | 0.570616i | \(-0.806705\pi\) | ||||
−0.821217 | + | 0.570616i | \(0.806705\pi\) | |||||||
\(702\) | 5.93818 | − | 12.7088i | 0.224122 | − | 0.479663i | ||||
\(703\) | −1.23422 | + | 2.13773i | −0.0465495 | + | 0.0806260i | ||||
\(704\) | 0.738550 | + | 1.27921i | 0.0278351 | + | 0.0482119i | ||||
\(705\) | 9.04325 | + | 43.8536i | 0.340589 | + | 1.65162i | ||||
\(706\) | 3.76578 | + | 6.52252i | 0.141727 | + | 0.245478i | ||||
\(707\) | −6.50805 | − | 12.2849i | −0.244760 | − | 0.462021i | ||||
\(708\) | −8.94251 | + | 7.95403i | −0.336080 | + | 0.298931i | ||||
\(709\) | −22.7403 | −0.854031 | −0.427016 | − | 0.904244i | \(-0.640435\pi\) | ||||
−0.427016 | + | 0.904244i | \(0.640435\pi\) | |||||||
\(710\) | 10.1087 | − | 17.5088i | 0.379373 | − | 0.657094i | ||||
\(711\) | 4.00619 | − | 34.1227i | 0.150244 | − | 1.27970i | ||||
\(712\) | −4.43818 | − | 7.68715i | −0.166328 | − | 0.288088i | ||||
\(713\) | −21.4134 | + | 37.0891i | −0.801939 | + | 1.38900i | ||||
\(714\) | 5.00728 | + | 29.7160i | 0.187393 | + | 1.11209i | ||||
\(715\) | 7.37636 | + | 12.7762i | 0.275860 | + | 0.477804i | ||||
\(716\) | 0.166896 | − | 0.289073i | 0.00623721 | − | 0.0108032i | ||||
\(717\) | −31.1545 | − | 10.3324i | −1.16349 | − | 0.385870i | ||||
\(718\) | −3.44801 | − | 5.97213i | −0.128679 | − | 0.222878i | ||||
\(719\) | 6.06182 | + | 10.4994i | 0.226068 | + | 0.391561i | 0.956639 | − | 0.291275i | \(-0.0940796\pi\) |
−0.730571 | + | 0.682836i | \(0.760746\pi\) | |||||||
\(720\) | 8.89926 | + | 6.63238i | 0.331656 | + | 0.247174i | ||||
\(721\) | −2.34176 | + | 3.73495i | −0.0872119 | + | 0.139097i | ||||
\(722\) | 9.10507 | − | 15.7705i | 0.338856 | − | 0.586915i | ||||
\(723\) | −40.2868 | − | 13.3611i | −1.49828 | − | 0.496905i | ||||
\(724\) | 23.2422 | 0.863789 | ||||||||
\(725\) | −21.8095 | −0.809985 | ||||||||
\(726\) | 3.08472 | + | 14.9588i | 0.114485 | + | 0.555172i | ||||
\(727\) | 23.0908 | − | 39.9945i | 0.856392 | − | 1.48331i | −0.0189562 | − | 0.999820i | \(-0.506034\pi\) |
0.875348 | − | 0.483494i | \(-0.160632\pi\) | |||||||
\(728\) | −3.34362 | − | 6.31159i | −0.123923 | − | 0.233923i | ||||
\(729\) | −9.27375 | + | 25.3574i | −0.343472 | + | 0.939163i | ||||
\(730\) | −22.3189 | − | 38.6574i | −0.826058 | − | 1.43077i | ||||
\(731\) | −0.0407044 | − | 0.0705021i | −0.00150551 | − | 0.00260761i | ||||
\(732\) | 7.41961 | − | 6.59947i | 0.274237 | − | 0.243923i | ||||
\(733\) | 18.0149 | − | 31.2026i | 0.665394 | − | 1.15250i | −0.313785 | − | 0.949494i | \(-0.601597\pi\) |
0.979178 | − | 0.203002i | \(-0.0650696\pi\) | |||||||
\(734\) | −11.5618 | − | 20.0257i | −0.426755 | − | 0.739161i | ||||
\(735\) | −5.83743 | − | 44.4741i | −0.215317 | − | 1.64045i | ||||
\(736\) | −3.14400 | + | 5.44556i | −0.115889 | + | 0.200726i | ||||
\(737\) | −6.99017 | − | 12.1073i | −0.257486 | − | 0.445979i | ||||
\(738\) | −11.3276 | + | 4.87933i | −0.416975 | + | 0.179611i | ||||
\(739\) | 23.2119 | − | 40.2042i | 0.853865 | − | 1.47894i | −0.0238296 | − | 0.999716i | \(-0.507586\pi\) |
0.877694 | − | 0.479221i | \(-0.159081\pi\) | |||||||
\(740\) | 10.2756 | 0.377739 | ||||||||
\(741\) | −0.839294 | − | 4.07000i | −0.0308322 | − | 0.149515i | ||||
\(742\) | −4.51169 | + | 7.19583i | −0.165629 | + | 0.264167i | ||||
\(743\) | 0.598884 | + | 1.03730i | 0.0219709 | + | 0.0380548i | 0.876802 | − | 0.480852i | \(-0.159673\pi\) |
−0.854831 | + | 0.518907i | \(0.826339\pi\) | |||||||
\(744\) | −8.81453 | + | 7.84020i | −0.323157 | + | 0.287436i | ||||
\(745\) | −0.617454 | − | 1.06946i | −0.0226218 | − | 0.0391820i | ||||
\(746\) | −14.5822 | + | 25.2571i | −0.533891 | + | 0.924727i | ||||
\(747\) | −10.7694 | − | 8.02617i | −0.394033 | − | 0.293662i | ||||
\(748\) | 9.71339 | 0.355157 | ||||||||
\(749\) | −13.3331 | − | 25.1682i | −0.487181 | − | 0.919626i | ||||
\(750\) | −17.6545 | + | 15.7030i | −0.644652 | + | 0.573394i | ||||
\(751\) | −24.0600 | + | 41.6731i | −0.877961 | + | 1.52067i | −0.0243853 | + | 0.999703i | \(0.507763\pi\) |
−0.853575 | + | 0.520970i | \(0.825570\pi\) | |||||||
\(752\) | −6.98762 | −0.254812 | ||||||||
\(753\) | 15.6902 | − | 13.9559i | 0.571783 | − | 0.508580i | ||||
\(754\) | −6.77747 | −0.246821 | ||||||||
\(755\) | −73.6588 | −2.68072 | ||||||||
\(756\) | 7.46108 | + | 11.5470i | 0.271357 | + | 0.419959i | ||||
\(757\) | 49.6006 | 1.80276 | 0.901382 | − | 0.433025i | \(-0.142554\pi\) | ||||
0.901382 | + | 0.433025i | \(0.142554\pi\) | |||||||
\(758\) | −13.5622 | −0.492602 | ||||||||
\(759\) | 12.0204 | − | 10.6917i | 0.436311 | − | 0.388083i | ||||
\(760\) | 3.28799 | 0.119268 | ||||||||
\(761\) | 18.7701 | − | 32.5108i | 0.680416 | − | 1.17852i | −0.294438 | − | 0.955671i | \(-0.595132\pi\) |
0.974854 | − | 0.222845i | \(-0.0715342\pi\) | |||||||
\(762\) | 3.69708 | − | 3.28842i | 0.133931 | − | 0.119127i | ||||
\(763\) | −0.265781 | + | 0.423902i | −0.00962191 | + | 0.0153463i | ||||
\(764\) | −16.3214 | −0.590488 | ||||||||
\(765\) | 67.0319 | − | 28.8738i | 2.42354 | − | 1.04393i | ||||
\(766\) | 1.41783 | − | 2.45575i | 0.0512281 | − | 0.0887297i | ||||
\(767\) | −9.32691 | − | 16.1547i | −0.336775 | − | 0.583312i |