Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 36 x^{18} - 172 x^{17} + 691 x^{16} - 2342 x^{15} + 7870 x^{14} - 23240 x^{13} + 63837 x^{12} - 154607 x^{11} + 334467 x^{10} - 664202 x^{9} + \cdots + 123904 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(-0.245245 + 0.0720105i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.541 |
Dual form | 690.2.m.f.301.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | + | 0.540641i | −0.594856 | + | 0.382291i | ||||
\(3\) | 0.142315 | − | 0.989821i | 0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | 0.959493 | − | 0.281733i | 0.429098 | − | 0.125995i | ||||
\(6\) | 0.415415 | + | 0.909632i | 0.169592 | + | 0.371356i | ||||
\(7\) | −0.525067 | − | 0.605959i | −0.198457 | − | 0.229031i | 0.647795 | − | 0.761815i | \(-0.275691\pi\) |
−0.846251 | + | 0.532784i | \(0.821146\pi\) | |||||||
\(8\) | 0.142315 | + | 0.989821i | 0.0503159 | + | 0.349955i | ||||
\(9\) | −0.959493 | − | 0.281733i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −0.654861 | + | 0.755750i | −0.207085 | + | 0.238989i | ||||
\(11\) | −3.81286 | − | 2.45038i | −1.14962 | − | 0.738817i | −0.180058 | − | 0.983656i | \(-0.557629\pi\) |
−0.969564 | + | 0.244839i | \(0.921265\pi\) | |||||||
\(12\) | −0.841254 | − | 0.540641i | −0.242849 | − | 0.156070i | ||||
\(13\) | 1.33714 | − | 1.54314i | 0.370856 | − | 0.427991i | −0.539391 | − | 0.842055i | \(-0.681346\pi\) |
0.910248 | + | 0.414064i | \(0.135891\pi\) | |||||||
\(14\) | 0.769321 | + | 0.225893i | 0.205610 | + | 0.0603724i | ||||
\(15\) | −0.142315 | − | 0.989821i | −0.0367455 | − | 0.255571i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −2.27417 | − | 4.97974i | −0.551568 | − | 1.20776i | −0.956046 | − | 0.293217i | \(-0.905274\pi\) |
0.404478 | − | 0.914548i | \(-0.367453\pi\) | |||||||
\(18\) | 0.959493 | − | 0.281733i | 0.226155 | − | 0.0664050i | ||||
\(19\) | −1.39854 | + | 3.06237i | −0.320846 | + | 0.702555i | −0.999491 | − | 0.0319116i | \(-0.989841\pi\) |
0.678644 | + | 0.734467i | \(0.262568\pi\) | |||||||
\(20\) | 0.142315 | − | 0.989821i | 0.0318226 | − | 0.221331i | ||||
\(21\) | −0.674516 | + | 0.433485i | −0.147192 | + | 0.0945943i | ||||
\(22\) | 4.53236 | 0.966303 | ||||||||
\(23\) | 0.259300 | + | 4.78882i | 0.0540677 | + | 0.998537i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | −0.290588 | + | 2.02109i | −0.0569891 | + | 0.396368i | ||||
\(27\) | −0.415415 | + | 0.909632i | −0.0799467 | + | 0.175059i | ||||
\(28\) | −0.769321 | + | 0.225893i | −0.145388 | + | 0.0426898i | ||||
\(29\) | −2.36151 | − | 5.17098i | −0.438521 | − | 0.960227i | −0.991867 | − | 0.127276i | \(-0.959377\pi\) |
0.553346 | − | 0.832951i | \(-0.313351\pi\) | |||||||
\(30\) | 0.654861 | + | 0.755750i | 0.119561 | + | 0.137980i | ||||
\(31\) | −1.15750 | − | 8.05059i | −0.207893 | − | 1.44593i | −0.780016 | − | 0.625760i | \(-0.784789\pi\) |
0.572123 | − | 0.820168i | \(-0.306120\pi\) | |||||||
\(32\) | 0.959493 | + | 0.281733i | 0.169616 | + | 0.0498038i | ||||
\(33\) | −2.96807 | + | 3.42533i | −0.516674 | + | 0.596273i | ||||
\(34\) | 4.60541 | + | 2.95971i | 0.789821 | + | 0.507587i | ||||
\(35\) | −0.674516 | − | 0.433485i | −0.114014 | − | 0.0732724i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | 4.13446 | + | 1.21399i | 0.679700 | + | 0.199578i | 0.603318 | − | 0.797501i | \(-0.293845\pi\) |
0.0763822 | + | 0.997079i | \(0.475663\pi\) | |||||||
\(38\) | −0.479117 | − | 3.33233i | −0.0777231 | − | 0.540576i | ||||
\(39\) | −1.33714 | − | 1.54314i | −0.214114 | − | 0.247101i | ||||
\(40\) | 0.415415 | + | 0.909632i | 0.0656829 | + | 0.143825i | ||||
\(41\) | −5.00816 | + | 1.47053i | −0.782143 | + | 0.229658i | −0.648341 | − | 0.761350i | \(-0.724537\pi\) |
−0.133802 | + | 0.991008i | \(0.542719\pi\) | |||||||
\(42\) | 0.333079 | − | 0.729342i | 0.0513953 | − | 0.112540i | ||||
\(43\) | −1.78576 | + | 12.4202i | −0.272326 | + | 1.89407i | 0.151715 | + | 0.988424i | \(0.451520\pi\) |
−0.424041 | + | 0.905643i | \(0.639389\pi\) | |||||||
\(44\) | −3.81286 | + | 2.45038i | −0.574811 | + | 0.369409i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −2.80717 | − | 3.88842i | −0.413894 | − | 0.573316i | ||||
\(47\) | −5.18694 | −0.756594 | −0.378297 | − | 0.925684i | \(-0.623490\pi\) | ||||
−0.378297 | + | 0.925684i | \(0.623490\pi\) | |||||||
\(48\) | −0.841254 | + | 0.540641i | −0.121424 | + | 0.0780348i | ||||
\(49\) | 0.904712 | − | 6.29241i | 0.129245 | − | 0.898916i | ||||
\(50\) | −0.415415 | + | 0.909632i | −0.0587486 | + | 0.128641i | ||||
\(51\) | −5.25270 | + | 1.54233i | −0.735525 | + | 0.215970i | ||||
\(52\) | −0.848224 | − | 1.85735i | −0.117627 | − | 0.257568i | ||||
\(53\) | −6.06642 | − | 7.00102i | −0.833287 | − | 0.961664i | 0.166416 | − | 0.986056i | \(-0.446781\pi\) |
−0.999702 | + | 0.0243914i | \(0.992235\pi\) | |||||||
\(54\) | −0.142315 | − | 0.989821i | −0.0193666 | − | 0.134698i | ||||
\(55\) | −4.34877 | − | 1.27691i | −0.586388 | − | 0.172179i | ||||
\(56\) | 0.525067 | − | 0.605959i | 0.0701650 | − | 0.0809747i | ||||
\(57\) | 2.83217 | + | 1.82012i | 0.375129 | + | 0.241081i | ||||
\(58\) | 4.78227 | + | 3.07338i | 0.627943 | + | 0.403555i | ||||
\(59\) | 1.99897 | − | 2.30693i | 0.260243 | − | 0.300337i | −0.610558 | − | 0.791971i | \(-0.709055\pi\) |
0.870802 | + | 0.491634i | \(0.163600\pi\) | |||||||
\(60\) | −0.959493 | − | 0.281733i | −0.123870 | − | 0.0363715i | ||||
\(61\) | −2.18047 | − | 15.1655i | −0.279180 | − | 1.94174i | −0.332355 | − | 0.943155i | \(-0.607843\pi\) |
0.0531745 | − | 0.998585i | \(-0.483066\pi\) | |||||||
\(62\) | 5.32623 | + | 6.14679i | 0.676432 | + | 0.780644i | ||||
\(63\) | 0.333079 | + | 0.729342i | 0.0419641 | + | 0.0918885i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | 0.848224 | − | 1.85735i | 0.105209 | − | 0.230376i | ||||
\(66\) | 0.645022 | − | 4.48623i | 0.0793968 | − | 0.552217i | ||||
\(67\) | 11.4849 | − | 7.38088i | 1.40310 | − | 0.901718i | 0.403190 | − | 0.915116i | \(-0.367901\pi\) |
0.999910 | + | 0.0133985i | \(0.00426501\pi\) | |||||||
\(68\) | −5.47446 | −0.663875 | ||||||||
\(69\) | 4.77698 | + | 0.424859i | 0.575080 | + | 0.0511471i | ||||
\(70\) | 0.801799 | 0.0958333 | ||||||||
\(71\) | −4.84158 | + | 3.11150i | −0.574590 | + | 0.369267i | −0.795432 | − | 0.606043i | \(-0.792756\pi\) |
0.220842 | + | 0.975310i | \(0.429120\pi\) | |||||||
\(72\) | 0.142315 | − | 0.989821i | 0.0167720 | − | 0.116652i | ||||
\(73\) | 1.55454 | − | 3.40396i | 0.181945 | − | 0.398403i | −0.796580 | − | 0.604533i | \(-0.793360\pi\) |
0.978525 | + | 0.206130i | \(0.0660870\pi\) | |||||||
\(74\) | −4.13446 | + | 1.21399i | −0.480621 | + | 0.141123i | ||||
\(75\) | −0.415415 | − | 0.909632i | −0.0479680 | − | 0.105035i | ||||
\(76\) | 2.20465 | + | 2.54431i | 0.252891 | + | 0.291852i | ||||
\(77\) | 0.517178 | + | 3.59705i | 0.0589379 | + | 0.409922i | ||||
\(78\) | 1.95916 | + | 0.575261i | 0.221831 | + | 0.0651355i | ||||
\(79\) | 1.29853 | − | 1.49859i | 0.146097 | − | 0.168604i | −0.677985 | − | 0.735076i | \(-0.737146\pi\) |
0.824081 | + | 0.566472i | \(0.191692\pi\) | |||||||
\(80\) | −0.841254 | − | 0.540641i | −0.0940550 | − | 0.0604455i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 3.41810 | − | 3.94470i | 0.377466 | − | 0.435620i | ||||
\(83\) | 2.51187 | + | 0.737551i | 0.275713 | + | 0.0809568i | 0.416666 | − | 0.909060i | \(-0.363198\pi\) |
−0.140953 | + | 0.990016i | \(0.545017\pi\) | |||||||
\(84\) | 0.114108 | + | 0.793638i | 0.0124502 | + | 0.0865930i | ||||
\(85\) | −3.58501 | − | 4.13732i | −0.388849 | − | 0.448755i | ||||
\(86\) | −5.21261 | − | 11.4140i | −0.562090 | − | 1.23081i | ||||
\(87\) | −5.45443 | + | 1.60156i | −0.584776 | + | 0.171706i | ||||
\(88\) | 1.88281 | − | 4.12278i | 0.200708 | − | 0.439490i | ||||
\(89\) | −0.999078 | + | 6.94874i | −0.105902 | + | 0.736565i | 0.865806 | + | 0.500380i | \(0.166806\pi\) |
−0.971708 | + | 0.236185i | \(0.924103\pi\) | |||||||
\(90\) | 0.841254 | − | 0.540641i | 0.0886759 | − | 0.0569885i | ||||
\(91\) | −1.63717 | −0.171622 | ||||||||
\(92\) | 4.46378 | + | 1.75348i | 0.465381 | + | 0.182813i | ||||
\(93\) | −8.13337 | −0.843392 | ||||||||
\(94\) | 4.36354 | − | 2.80427i | 0.450064 | − | 0.289239i | ||||
\(95\) | −0.479117 | + | 3.33233i | −0.0491564 | + | 0.341890i | ||||
\(96\) | 0.415415 | − | 0.909632i | 0.0423981 | − | 0.0928389i | ||||
\(97\) | 0.760874 | − | 0.223413i | 0.0772551 | − | 0.0226841i | −0.242877 | − | 0.970057i | \(-0.578091\pi\) |
0.320132 | + | 0.947373i | \(0.396273\pi\) | |||||||
\(98\) | 2.64084 | + | 5.78264i | 0.266765 | + | 0.584135i | ||||
\(99\) | 2.96807 | + | 3.42533i | 0.298302 | + | 0.344259i | ||||
\(100\) | −0.142315 | − | 0.989821i | −0.0142315 | − | 0.0989821i | ||||
\(101\) | −8.19154 | − | 2.40525i | −0.815089 | − | 0.239332i | −0.152489 | − | 0.988305i | \(-0.548729\pi\) |
−0.662600 | + | 0.748974i | \(0.730547\pi\) | |||||||
\(102\) | 3.58501 | − | 4.13732i | 0.354969 | − | 0.409656i | ||||
\(103\) | 16.3723 | + | 10.5219i | 1.61321 | + | 1.03675i | 0.960165 | + | 0.279433i | \(0.0901464\pi\) |
0.653048 | + | 0.757317i | \(0.273490\pi\) | |||||||
\(104\) | 1.71773 | + | 1.10392i | 0.168437 | + | 0.108248i | ||||
\(105\) | −0.525067 | + | 0.605959i | −0.0512413 | + | 0.0591356i | ||||
\(106\) | 8.88844 | + | 2.60988i | 0.863321 | + | 0.253494i | ||||
\(107\) | 0.0557577 | + | 0.387804i | 0.00539030 | + | 0.0374904i | 0.992339 | − | 0.123544i | \(-0.0394260\pi\) |
−0.986949 | + | 0.161035i | \(0.948517\pi\) | |||||||
\(108\) | 0.654861 | + | 0.755750i | 0.0630140 | + | 0.0727220i | ||||
\(109\) | 3.06282 | + | 6.70663i | 0.293365 | + | 0.642379i | 0.997721 | − | 0.0674671i | \(-0.0214918\pi\) |
−0.704357 | + | 0.709846i | \(0.748765\pi\) | |||||||
\(110\) | 4.34877 | − | 1.27691i | 0.414639 | − | 0.121749i | ||||
\(111\) | 1.79002 | − | 3.91960i | 0.169902 | − | 0.372032i | ||||
\(112\) | −0.114108 | + | 0.793638i | −0.0107822 | + | 0.0749917i | ||||
\(113\) | 13.9531 | − | 8.96710i | 1.31260 | − | 0.843554i | 0.318072 | − | 0.948066i | \(-0.396964\pi\) |
0.994524 | + | 0.104512i | \(0.0333281\pi\) | |||||||
\(114\) | −3.36660 | −0.315311 | ||||||||
\(115\) | 1.59796 | + | 4.52178i | 0.149011 | + | 0.421658i | ||||
\(116\) | −5.68470 | −0.527811 | ||||||||
\(117\) | −1.71773 | + | 1.10392i | −0.158804 | + | 0.102057i | ||||
\(118\) | −0.434417 | + | 3.02144i | −0.0399913 | + | 0.278146i | ||||
\(119\) | −1.82343 | + | 3.99275i | −0.167153 | + | 0.366015i | ||||
\(120\) | 0.959493 | − | 0.281733i | 0.0875893 | − | 0.0257185i | ||||
\(121\) | 3.96401 | + | 8.67998i | 0.360365 | + | 0.789089i | ||||
\(122\) | 10.0334 | + | 11.5792i | 0.908381 | + | 1.04833i | ||||
\(123\) | 0.742825 | + | 5.16646i | 0.0669783 | + | 0.465844i | ||||
\(124\) | −7.80391 | − | 2.29144i | −0.700812 | − | 0.205777i | ||||
\(125\) | 0.654861 | − | 0.755750i | 0.0585725 | − | 0.0675963i | ||||
\(126\) | −0.674516 | − | 0.433485i | −0.0600907 | − | 0.0386179i | ||||
\(127\) | −6.94227 | − | 4.46152i | −0.616026 | − | 0.395896i | 0.195086 | − | 0.980786i | \(-0.437501\pi\) |
−0.811113 | + | 0.584890i | \(0.801138\pi\) | |||||||
\(128\) | 0.654861 | − | 0.755750i | 0.0578821 | − | 0.0667995i | ||||
\(129\) | 12.0397 | + | 3.53517i | 1.06003 | + | 0.311254i | ||||
\(130\) | 0.290588 | + | 2.02109i | 0.0254863 | + | 0.177261i | ||||
\(131\) | −7.70990 | − | 8.89769i | −0.673617 | − | 0.777395i | 0.311321 | − | 0.950305i | \(-0.399229\pi\) |
−0.984938 | + | 0.172910i | \(0.944683\pi\) | |||||||
\(132\) | 1.88281 | + | 4.12278i | 0.163878 | + | 0.358842i | ||||
\(133\) | 2.59000 | − | 0.760491i | 0.224581 | − | 0.0659430i | ||||
\(134\) | −5.67128 | + | 12.4184i | −0.489924 | + | 1.07278i | ||||
\(135\) | −0.142315 | + | 0.989821i | −0.0122485 | + | 0.0851903i | ||||
\(136\) | 4.60541 | − | 2.95971i | 0.394910 | − | 0.253793i | ||||
\(137\) | 7.30745 | 0.624317 | 0.312159 | − | 0.950030i | \(-0.398948\pi\) | ||||
0.312159 | + | 0.950030i | \(0.398948\pi\) | |||||||
\(138\) | −4.24834 | + | 2.22521i | −0.361643 | + | 0.189423i | ||||
\(139\) | −0.283114 | −0.0240134 | −0.0120067 | − | 0.999928i | \(-0.503822\pi\) | ||||
−0.0120067 | + | 0.999928i | \(0.503822\pi\) | |||||||
\(140\) | −0.674516 | + | 0.433485i | −0.0570070 | + | 0.0366362i | ||||
\(141\) | −0.738179 | + | 5.13415i | −0.0621659 | + | 0.432373i | ||||
\(142\) | 2.39080 | − | 5.23512i | 0.200631 | − | 0.439321i | ||||
\(143\) | −8.87962 | + | 2.60729i | −0.742551 | + | 0.218033i | ||||
\(144\) | 0.415415 | + | 0.909632i | 0.0346179 | + | 0.0758027i | ||||
\(145\) | −3.72269 | − | 4.29621i | −0.309152 | − | 0.356781i | ||||
\(146\) | 0.532560 | + | 3.70404i | 0.0440750 | + | 0.306548i | ||||
\(147\) | −6.09961 | − | 1.79101i | −0.503087 | − | 0.147720i | ||||
\(148\) | 2.82180 | − | 3.25653i | 0.231950 | − | 0.267685i | ||||
\(149\) | 1.79233 | + | 1.15186i | 0.146834 | + | 0.0943642i | 0.611995 | − | 0.790862i | \(-0.290367\pi\) |
−0.465161 | + | 0.885226i | \(0.654004\pi\) | |||||||
\(150\) | 0.841254 | + | 0.540641i | 0.0686881 | + | 0.0441431i | ||||
\(151\) | 9.25100 | − | 10.6762i | 0.752835 | − | 0.868818i | −0.242005 | − | 0.970275i | \(-0.577805\pi\) |
0.994840 | + | 0.101457i | \(0.0323504\pi\) | |||||||
\(152\) | −3.23023 | − | 0.948481i | −0.262006 | − | 0.0769320i | ||||
\(153\) | 0.779096 | + | 5.41873i | 0.0629862 | + | 0.438079i | ||||
\(154\) | −2.37979 | − | 2.74643i | −0.191769 | − | 0.221313i | ||||
\(155\) | −3.37873 | − | 7.39838i | −0.271386 | − | 0.594252i | ||||
\(156\) | −1.95916 | + | 0.575261i | −0.156858 | + | 0.0460578i | ||||
\(157\) | −9.68705 | + | 21.2117i | −0.773111 | + | 1.69288i | −0.0534308 | + | 0.998572i | \(0.517016\pi\) |
−0.719680 | + | 0.694306i | \(0.755712\pi\) | |||||||
\(158\) | −0.282199 | + | 1.96273i | −0.0224505 | + | 0.156147i | ||||
\(159\) | −7.79310 | + | 5.00832i | −0.618033 | + | 0.397186i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 2.76568 | − | 2.67157i | 0.217966 | − | 0.210550i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −12.3115 | + | 7.91210i | −0.964308 | + | 0.619723i | −0.925187 | − | 0.379511i | \(-0.876092\pi\) |
−0.0391212 | + | 0.999234i | \(0.512456\pi\) | |||||||
\(164\) | −0.742825 | + | 5.16646i | −0.0580049 | + | 0.403433i | ||||
\(165\) | −1.88281 | + | 4.12278i | −0.146577 | + | 0.320958i | ||||
\(166\) | −2.51187 | + | 0.737551i | −0.194959 | + | 0.0572451i | ||||
\(167\) | 4.18410 | + | 9.16191i | 0.323776 | + | 0.708970i | 0.999605 | − | 0.0280881i | \(-0.00894189\pi\) |
−0.675830 | + | 0.737058i | \(0.736215\pi\) | |||||||
\(168\) | −0.525067 | − | 0.605959i | −0.0405098 | − | 0.0467508i | ||||
\(169\) | 1.25675 | + | 8.74088i | 0.0966730 | + | 0.672375i | ||||
\(170\) | 5.25270 | + | 1.54233i | 0.402864 | + | 0.118292i | ||||
\(171\) | 2.20465 | − | 2.54431i | 0.168594 | − | 0.194568i | ||||
\(172\) | 10.5560 | + | 6.78393i | 0.804888 | + | 0.517270i | ||||
\(173\) | 18.8599 | + | 12.1205i | 1.43389 | + | 0.921507i | 0.999787 | + | 0.0206450i | \(0.00657197\pi\) |
0.434106 | + | 0.900862i | \(0.357064\pi\) | |||||||
\(174\) | 3.72269 | − | 4.29621i | 0.282216 | − | 0.325695i | ||||
\(175\) | −0.769321 | − | 0.225893i | −0.0581552 | − | 0.0170759i | ||||
\(176\) | 0.645022 | + | 4.48623i | 0.0486204 | + | 0.338162i | ||||
\(177\) | −1.99897 | − | 2.30693i | −0.150252 | − | 0.173400i | ||||
\(178\) | −2.91629 | − | 6.38579i | −0.218586 | − | 0.478636i | ||||
\(179\) | 17.5304 | − | 5.14739i | 1.31028 | − | 0.384734i | 0.449307 | − | 0.893377i | \(-0.351671\pi\) |
0.860978 | + | 0.508643i | \(0.169853\pi\) | |||||||
\(180\) | −0.415415 | + | 0.909632i | −0.0309632 | + | 0.0678000i | ||||
\(181\) | 0.917790 | − | 6.38337i | 0.0682188 | − | 0.474472i | −0.926862 | − | 0.375403i | \(-0.877504\pi\) |
0.995081 | − | 0.0990692i | \(-0.0315865\pi\) | |||||||
\(182\) | 1.37728 | − | 0.885121i | 0.102090 | − | 0.0656095i | ||||
\(183\) | −15.3214 | −1.13259 | ||||||||
\(184\) | −4.70317 | + | 0.938180i | −0.346722 | + | 0.0691635i | ||||
\(185\) | 4.30900 | 0.316804 | ||||||||
\(186\) | 6.84223 | − | 4.39723i | 0.501697 | − | 0.322421i | ||||
\(187\) | −3.53115 | + | 24.5597i | −0.258223 | + | 1.79598i | ||||
\(188\) | −2.15473 | + | 4.71821i | −0.157150 | + | 0.344111i | ||||
\(189\) | 0.769321 | − | 0.225893i | 0.0559598 | − | 0.0164313i | ||||
\(190\) | −1.39854 | − | 3.06237i | −0.101461 | − | 0.222168i | ||||
\(191\) | 14.2975 | + | 16.5001i | 1.03453 | + | 1.19391i | 0.980732 | + | 0.195356i | \(0.0625864\pi\) |
0.0537953 | + | 0.998552i | \(0.482868\pi\) | |||||||
\(192\) | 0.142315 | + | 0.989821i | 0.0102707 | + | 0.0714342i | ||||
\(193\) | 13.8448 | + | 4.06521i | 0.996572 | + | 0.292620i | 0.739049 | − | 0.673652i | \(-0.235275\pi\) |
0.257524 | + | 0.966272i | \(0.417093\pi\) | |||||||
\(194\) | −0.519302 | + | 0.599307i | −0.0372837 | + | 0.0430277i | ||||
\(195\) | −1.71773 | − | 1.10392i | −0.123009 | − | 0.0790533i | ||||
\(196\) | −5.34795 | − | 3.43692i | −0.381996 | − | 0.245494i | ||||
\(197\) | 3.06054 | − | 3.53205i | 0.218054 | − | 0.251648i | −0.636175 | − | 0.771545i | \(-0.719484\pi\) |
0.854229 | + | 0.519897i | \(0.174030\pi\) | |||||||
\(198\) | −4.34877 | − | 1.27691i | −0.309054 | − | 0.0907463i | ||||
\(199\) | 0.554202 | + | 3.85456i | 0.0392863 | + | 0.273242i | 0.999991 | − | 0.00433145i | \(-0.00137875\pi\) |
−0.960704 | + | 0.277574i | \(0.910470\pi\) | |||||||
\(200\) | 0.654861 | + | 0.755750i | 0.0463056 | + | 0.0534396i | ||||
\(201\) | −5.67128 | − | 12.4184i | −0.400022 | − | 0.875925i | ||||
\(202\) | 8.19154 | − | 2.40525i | 0.576355 | − | 0.169233i | ||||
\(203\) | −1.89346 | + | 4.14609i | −0.132895 | + | 0.290998i | ||||
\(204\) | −0.779096 | + | 5.41873i | −0.0545477 | + | 0.379387i | ||||
\(205\) | −4.39100 | + | 2.82192i | −0.306681 | + | 0.197092i | ||||
\(206\) | −19.4618 | −1.35597 | ||||||||
\(207\) | 1.10037 | − | 4.66789i | 0.0764810 | − | 0.324441i | ||||
\(208\) | −2.04187 | −0.141578 | ||||||||
\(209\) | 12.8364 | − | 8.24945i | 0.887912 | − | 0.570626i | ||||
\(210\) | 0.114108 | − | 0.793638i | 0.00787419 | − | 0.0547662i | ||||
\(211\) | −3.12818 | + | 6.84977i | −0.215353 | + | 0.471557i | −0.986220 | − | 0.165439i | \(-0.947096\pi\) |
0.770867 | + | 0.636996i | \(0.219823\pi\) | |||||||
\(212\) | −8.88844 | + | 2.60988i | −0.610460 | + | 0.179247i | ||||
\(213\) | 2.39080 | + | 5.23512i | 0.163815 | + | 0.358704i | ||||
\(214\) | −0.256569 | − | 0.296096i | −0.0175387 | − | 0.0202407i | ||||
\(215\) | 1.78576 | + | 12.4202i | 0.121788 | + | 0.847053i | ||||
\(216\) | −0.959493 | − | 0.281733i | −0.0652852 | − | 0.0191695i | ||||
\(217\) | −4.27056 | + | 4.92849i | −0.289905 | + | 0.334568i | ||||
\(218\) | −6.20248 | − | 3.98609i | −0.420085 | − | 0.269972i | ||||
\(219\) | −3.14808 | − | 2.02315i | −0.212727 | − | 0.136712i | ||||
\(220\) | −2.96807 | + | 3.42533i | −0.200107 | + | 0.230936i | ||||
\(221\) | −10.7253 | − | 3.14924i | −0.721464 | − | 0.211841i | ||||
\(222\) | 0.613235 | + | 4.26514i | 0.0411576 | + | 0.286258i | ||||
\(223\) | −5.87713 | − | 6.78257i | −0.393562 | − | 0.454194i | 0.524041 | − | 0.851693i | \(-0.324424\pi\) |
−0.917603 | + | 0.397499i | \(0.869878\pi\) | |||||||
\(224\) | −0.333079 | − | 0.729342i | −0.0222548 | − | 0.0487312i | ||||
\(225\) | −0.959493 | + | 0.281733i | −0.0639662 | + | 0.0187822i | ||||
\(226\) | −6.89010 | + | 15.0872i | −0.458323 | + | 1.00359i | ||||
\(227\) | −0.167872 | + | 1.16757i | −0.0111420 | + | 0.0774946i | −0.994634 | − | 0.103458i | \(-0.967009\pi\) |
0.983492 | + | 0.180953i | \(0.0579182\pi\) | |||||||
\(228\) | 2.83217 | − | 1.82012i | 0.187565 | − | 0.120541i | ||||
\(229\) | 17.8320 | 1.17837 | 0.589186 | − | 0.807998i | \(-0.299449\pi\) | ||||
0.589186 | + | 0.807998i | \(0.299449\pi\) | |||||||
\(230\) | −3.78895 | − | 2.94004i | −0.249836 | − | 0.193861i | ||||
\(231\) | 3.63404 | 0.239103 | ||||||||
\(232\) | 4.78227 | − | 3.07338i | 0.313972 | − | 0.201777i | ||||
\(233\) | 4.07310 | − | 28.3290i | 0.266837 | − | 1.85590i | −0.211052 | − | 0.977475i | \(-0.567689\pi\) |
0.477889 | − | 0.878420i | \(-0.341402\pi\) | |||||||
\(234\) | 0.848224 | − | 1.85735i | 0.0554501 | − | 0.121419i | ||||
\(235\) | −4.97684 | + | 1.46133i | −0.324653 | + | 0.0953267i | ||||
\(236\) | −1.26806 | − | 2.77666i | −0.0825435 | − | 0.180745i | ||||
\(237\) | −1.29853 | − | 1.49859i | −0.0843489 | − | 0.0973438i | ||||
\(238\) | −0.624679 | − | 4.34474i | −0.0404919 | − | 0.281627i | ||||
\(239\) | 18.9148 | + | 5.55389i | 1.22350 | + | 0.359252i | 0.828793 | − | 0.559556i | \(-0.189028\pi\) |
0.394706 | + | 0.918808i | \(0.370846\pi\) | |||||||
\(240\) | −0.654861 | + | 0.755750i | −0.0422711 | + | 0.0487834i | ||||
\(241\) | −10.0484 | − | 6.45769i | −0.647272 | − | 0.415976i | 0.175397 | − | 0.984498i | \(-0.443879\pi\) |
−0.822668 | + | 0.568522i | \(0.807516\pi\) | |||||||
\(242\) | −8.02749 | − | 5.15896i | −0.516027 | − | 0.331630i | ||||
\(243\) | 0.654861 | − | 0.755750i | 0.0420093 | − | 0.0484814i | ||||
\(244\) | −14.7008 | − | 4.31654i | −0.941122 | − | 0.276338i | ||||
\(245\) | −0.904712 | − | 6.29241i | −0.0577999 | − | 0.402007i | ||||
\(246\) | −3.41810 | − | 3.94470i | −0.217930 | − | 0.251505i | ||||
\(247\) | 2.85563 | + | 6.25296i | 0.181699 | + | 0.397866i | ||||
\(248\) | 7.80391 | − | 2.29144i | 0.495549 | − | 0.145506i | ||||
\(249\) | 1.08752 | − | 2.38134i | 0.0689188 | − | 0.150911i | ||||
\(250\) | −0.142315 | + | 0.989821i | −0.00900078 | + | 0.0626018i | ||||
\(251\) | −0.187467 | + | 0.120478i | −0.0118328 | + | 0.00760450i | −0.546544 | − | 0.837430i | \(-0.684057\pi\) |
0.534711 | + | 0.845035i | \(0.320420\pi\) | |||||||
\(252\) | 0.801799 | 0.0505086 | ||||||||
\(253\) | 10.7457 | − | 18.8945i | 0.675579 | − | 1.18789i | ||||
\(254\) | 8.25229 | 0.517795 | ||||||||
\(255\) | −4.60541 | + | 2.95971i | −0.288402 | + | 0.185345i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −7.60579 | + | 16.6544i | −0.474436 | + | 1.03887i | 0.509520 | + | 0.860459i | \(0.329823\pi\) |
−0.983956 | + | 0.178411i | \(0.942904\pi\) | |||||||
\(258\) | −12.0397 | + | 3.53517i | −0.749557 | + | 0.220090i | ||||
\(259\) | −1.43524 | − | 3.14274i | −0.0891814 | − | 0.195280i | ||||
\(260\) | −1.33714 | − | 1.54314i | −0.0829260 | − | 0.0957017i | ||||
\(261\) | 0.809017 | + | 5.62684i | 0.0500769 | + | 0.348292i | ||||
\(262\) | 11.2964 | + | 3.31693i | 0.697896 | + | 0.204921i | ||||
\(263\) | 10.4734 | − | 12.0869i | 0.645816 | − | 0.745312i | −0.334576 | − | 0.942369i | \(-0.608593\pi\) |
0.980392 | + | 0.197057i | \(0.0631384\pi\) | |||||||
\(264\) | −3.81286 | − | 2.45038i | −0.234666 | − | 0.150810i | ||||
\(265\) | −7.79310 | − | 5.00832i | −0.478727 | − | 0.307659i | ||||
\(266\) | −1.76769 | + | 2.04002i | −0.108384 | + | 0.125082i | ||||
\(267\) | 6.73583 | + | 1.97782i | 0.412226 | + | 0.121040i | ||||
\(268\) | −1.94290 | − | 13.5131i | −0.118681 | − | 0.825446i | ||||
\(269\) | −15.1193 | − | 17.4486i | −0.921842 | − | 1.06386i | −0.997770 | − | 0.0667492i | \(-0.978737\pi\) |
0.0759276 | − | 0.997113i | \(-0.475808\pi\) | |||||||
\(270\) | −0.415415 | − | 0.909632i | −0.0252814 | − | 0.0553584i | ||||
\(271\) | 2.32878 | − | 0.683792i | 0.141464 | − | 0.0415374i | −0.210234 | − | 0.977651i | \(-0.567423\pi\) |
0.351698 | + | 0.936114i | \(0.385604\pi\) | |||||||
\(272\) | −2.27417 | + | 4.97974i | −0.137892 | + | 0.301941i | ||||
\(273\) | −0.232994 | + | 1.62051i | −0.0141014 | + | 0.0980775i | ||||
\(274\) | −6.14741 | + | 3.95070i | −0.371379 | + | 0.238671i | ||||
\(275\) | −4.53236 | −0.273312 | ||||||||
\(276\) | 2.37089 | − | 4.16880i | 0.142711 | − | 0.250932i | ||||
\(277\) | 7.10519 | 0.426909 | 0.213455 | − | 0.976953i | \(-0.431528\pi\) | ||||
0.213455 | + | 0.976953i | \(0.431528\pi\) | |||||||
\(278\) | 0.238170 | − | 0.153063i | 0.0142845 | − | 0.00918009i | ||||
\(279\) | −1.15750 | + | 8.05059i | −0.0692977 | + | 0.481976i | ||||
\(280\) | 0.333079 | − | 0.729342i | 0.0199053 | − | 0.0435865i | ||||
\(281\) | −1.82321 | + | 0.535341i | −0.108763 | + | 0.0319358i | −0.335661 | − | 0.941983i | \(-0.608960\pi\) |
0.226898 | + | 0.973919i | \(0.427142\pi\) | |||||||
\(282\) | −2.15473 | − | 4.71821i | −0.128313 | − | 0.280965i | ||||
\(283\) | −10.0756 | − | 11.6279i | −0.598932 | − | 0.691205i | 0.372632 | − | 0.927979i | \(-0.378455\pi\) |
−0.971565 | + | 0.236774i | \(0.923910\pi\) | |||||||
\(284\) | 0.819051 | + | 5.69662i | 0.0486017 | + | 0.338032i | ||||
\(285\) | 3.23023 | + | 0.948481i | 0.191342 | + | 0.0561832i | ||||
\(286\) | 6.06041 | − | 6.99408i | 0.358359 | − | 0.413569i | ||||
\(287\) | 3.52070 | + | 2.26262i | 0.207820 | + | 0.133558i | ||||
\(288\) | −0.841254 | − | 0.540641i | −0.0495713 | − | 0.0318576i | ||||
\(289\) | −8.49333 | + | 9.80182i | −0.499608 | + | 0.576578i | ||||
\(290\) | 5.45443 | + | 1.60156i | 0.320295 | + | 0.0940471i | ||||
\(291\) | −0.112855 | − | 0.784925i | −0.00661568 | − | 0.0460131i | ||||
\(292\) | −2.45057 | − | 2.82811i | −0.143409 | − | 0.165503i | ||||
\(293\) | 1.33818 | + | 2.93020i | 0.0781771 | + | 0.171184i | 0.944685 | − | 0.327980i | \(-0.106368\pi\) |
−0.866508 | + | 0.499164i | \(0.833641\pi\) | |||||||
\(294\) | 6.09961 | − | 1.79101i | 0.355736 | − | 0.104454i | ||||
\(295\) | 1.26806 | − | 2.77666i | 0.0738291 | − | 0.161663i | ||||
\(296\) | −0.613235 | + | 4.26514i | −0.0356435 | + | 0.247906i | ||||
\(297\) | 3.81286 | − | 2.45038i | 0.221245 | − | 0.142185i | ||||
\(298\) | −2.13055 | −0.123419 | ||||||||
\(299\) | 7.73655 | + | 6.00319i | 0.447416 | + | 0.347173i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 8.46380 | − | 5.43935i | 0.487845 | − | 0.313519i | ||||
\(302\) | −2.01043 | + | 13.9829i | −0.115687 | + | 0.804624i | ||||
\(303\) | −3.54655 | + | 7.76586i | −0.203744 | + | 0.446137i | ||||
\(304\) | 3.23023 | − | 0.948481i | 0.185266 | − | 0.0543991i | ||||
\(305\) | −6.36475 | − | 13.9369i | −0.364444 | − | 0.798022i | ||||
\(306\) | −3.58501 | − | 4.13732i | −0.204941 | − | 0.236515i | ||||
\(307\) | −3.05645 | − | 21.2581i | −0.174441 | − | 1.21326i | −0.869362 | − | 0.494176i | \(-0.835470\pi\) |
0.694921 | − | 0.719086i | \(-0.255439\pi\) | |||||||
\(308\) | 3.48684 | + | 1.02383i | 0.198681 | + | 0.0583380i | ||||
\(309\) | 12.7448 | − | 14.7083i | 0.725025 | − | 0.836724i | ||||
\(310\) | 6.84223 | + | 4.39723i | 0.388613 | + | 0.249746i | ||||
\(311\) | −17.9716 | − | 11.5496i | −1.01907 | − | 0.654919i | −0.0793473 | − | 0.996847i | \(-0.525284\pi\) |
−0.939726 | + | 0.341928i | \(0.888920\pi\) | |||||||
\(312\) | 1.33714 | − | 1.54314i | 0.0757007 | − | 0.0873633i | ||||
\(313\) | 24.5917 | + | 7.22077i | 1.39000 | + | 0.408142i | 0.889240 | − | 0.457441i | \(-0.151234\pi\) |
0.500765 | + | 0.865584i | \(0.333052\pi\) | |||||||
\(314\) | −3.31864 | − | 23.0816i | −0.187282 | − | 1.30257i | ||||
\(315\) | 0.525067 | + | 0.605959i | 0.0295842 | + | 0.0341419i | ||||
\(316\) | −0.823734 | − | 1.80372i | −0.0463386 | − | 0.101467i | ||||
\(317\) | 29.4491 | − | 8.64703i | 1.65403 | − | 0.485666i | 0.684165 | − | 0.729327i | \(-0.260167\pi\) |
0.969860 | + | 0.243662i | \(0.0783487\pi\) | |||||||
\(318\) | 3.84827 | − | 8.42654i | 0.215800 | − | 0.472537i | ||||
\(319\) | −3.66676 | + | 25.5029i | −0.205299 | + | 1.42789i | ||||
\(320\) | −0.841254 | + | 0.540641i | −0.0470275 | + | 0.0302227i | ||||
\(321\) | 0.391791 | 0.0218677 | ||||||||
\(322\) | −0.882275 | + | 3.74271i | −0.0491673 | + | 0.208573i | ||||
\(323\) | 18.4303 | 1.02549 | ||||||||
\(324\) | 0.841254 | − | 0.540641i | 0.0467363 | − | 0.0300356i | ||||
\(325\) | 0.290588 | − | 2.02109i | 0.0161189 | − | 0.112110i | ||||
\(326\) | 6.07946 | − | 13.3122i | 0.336710 | − | 0.737292i | ||||
\(327\) | 7.07425 | − | 2.07719i | 0.391207 | − | 0.114869i | ||||
\(328\) | −2.16830 | − | 4.74791i | −0.119724 | − | 0.262159i | ||||
\(329\) | 2.72349 | + | 3.14308i | 0.150151 | + | 0.173283i | ||||
\(330\) | −0.645022 | − | 4.48623i | −0.0355073 | − | 0.246959i | ||||
\(331\) | −24.1421 | − | 7.08875i | −1.32697 | − | 0.389633i | −0.459965 | − | 0.887937i | \(-0.652138\pi\) |
−0.867002 | + | 0.498304i | \(0.833956\pi\) | |||||||
\(332\) | 1.71437 | − | 1.97849i | 0.0940882 | − | 0.108584i | ||||
\(333\) | −3.62496 | − | 2.32962i | −0.198647 | − | 0.127662i | ||||
\(334\) | −8.47319 | − | 5.44539i | −0.463632 | − | 0.297958i | ||||
\(335\) | 8.94022 | − | 10.3176i | 0.488456 | − | 0.563709i | ||||
\(336\) | 0.769321 | + | 0.225893i | 0.0419699 | + | 0.0123235i | ||||
\(337\) | −3.52925 | − | 24.5465i | −0.192251 | − | 1.33713i | −0.826033 | − | 0.563621i | \(-0.809408\pi\) |
0.633783 | − | 0.773511i | \(-0.281501\pi\) | |||||||
\(338\) | −5.78292 | − | 6.67385i | −0.314549 | − | 0.363009i | ||||
\(339\) | −6.89010 | − | 15.0872i | −0.374219 | − | 0.819425i | ||||
\(340\) | −5.25270 | + | 1.54233i | −0.284868 | + | 0.0836447i | ||||
\(341\) | −15.3136 | + | 33.5321i | −0.829278 | + | 1.81587i | ||||
\(342\) | −0.479117 | + | 3.33233i | −0.0259077 | + | 0.180192i | ||||
\(343\) | −9.00960 | + | 5.79012i | −0.486472 | + | 0.312637i | ||||
\(344\) | −12.5480 | −0.676540 | ||||||||
\(345\) | 4.70317 | − | 0.938180i | 0.253210 | − | 0.0505099i | ||||
\(346\) | −22.4188 | −1.20524 | ||||||||
\(347\) | −15.4542 | + | 9.93180i | −0.829624 | + | 0.533167i | −0.885158 | − | 0.465290i | \(-0.845950\pi\) |
0.0555344 | + | 0.998457i | \(0.482314\pi\) | |||||||
\(348\) | −0.809017 | + | 5.62684i | −0.0433679 | + | 0.301630i | ||||
\(349\) | 5.67353 | − | 12.4233i | 0.303697 | − | 0.665004i | −0.694835 | − | 0.719169i | \(-0.744523\pi\) |
0.998532 | + | 0.0541654i | \(0.0172498\pi\) | |||||||
\(350\) | 0.769321 | − | 0.225893i | 0.0411219 | − | 0.0120745i | ||||
\(351\) | 0.848224 | + | 1.85735i | 0.0452748 | + | 0.0991381i | ||||
\(352\) | −2.96807 | − | 3.42533i | −0.158198 | − | 0.182571i | ||||
\(353\) | −1.81371 | − | 12.6146i | −0.0965339 | − | 0.671408i | −0.979422 | − | 0.201824i | \(-0.935313\pi\) |
0.882888 | − | 0.469584i | \(-0.155596\pi\) | |||||||
\(354\) | 2.92886 | + | 0.859991i | 0.155667 | + | 0.0457080i | ||||
\(355\) | −3.76886 | + | 4.34949i | −0.200030 | + | 0.230847i | ||||
\(356\) | 5.90576 | + | 3.79540i | 0.313005 | + | 0.201156i | ||||
\(357\) | 3.69261 | + | 2.37310i | 0.195434 | + | 0.125598i | ||||
\(358\) | −11.9646 | + | 13.8079i | −0.632350 | + | 0.729771i | ||||
\(359\) | 5.32255 | + | 1.56284i | 0.280913 | + | 0.0824836i | 0.419154 | − | 0.907915i | \(-0.362327\pi\) |
−0.138241 | + | 0.990399i | \(0.544145\pi\) | |||||||
\(360\) | −0.142315 | − | 0.989821i | −0.00750065 | − | 0.0521682i | ||||
\(361\) | 5.02016 | + | 5.79357i | 0.264219 | + | 0.304925i | ||||
\(362\) | 2.67902 | + | 5.86622i | 0.140806 | + | 0.308322i | ||||
\(363\) | 9.15577 | − | 2.68838i | 0.480553 | − | 0.141103i | ||||
\(364\) | −0.680105 | + | 1.48922i | −0.0356472 | + | 0.0780565i | ||||
\(365\) | 0.532560 | − | 3.70404i | 0.0278755 | − | 0.193878i | ||||
\(366\) | 12.8892 | − | 8.28339i | 0.673729 | − | 0.432980i | ||||
\(367\) | −20.6544 | −1.07815 | −0.539075 | − | 0.842258i | \(-0.681226\pi\) | ||||
−0.539075 | + | 0.842258i | \(0.681226\pi\) | |||||||
\(368\) | 3.44934 | − | 3.33197i | 0.179809 | − | 0.173691i | ||||
\(369\) | 5.21959 | 0.271721 | ||||||||
\(370\) | −3.62496 | + | 2.32962i | −0.188453 | + | 0.121111i | ||||
\(371\) | −1.05706 | + | 7.35201i | −0.0548798 | + | 0.381697i | ||||
\(372\) | −3.37873 | + | 7.39838i | −0.175179 | + | 0.383588i | ||||
\(373\) | −16.7161 | + | 4.90830i | −0.865529 | + | 0.254142i | −0.684213 | − | 0.729283i | \(-0.739854\pi\) |
−0.181316 | + | 0.983425i | \(0.558036\pi\) | |||||||
\(374\) | −10.3074 | − | 22.5700i | −0.532981 | − | 1.16707i | ||||
\(375\) | −0.654861 | − | 0.755750i | −0.0338169 | − | 0.0390267i | ||||
\(376\) | −0.738179 | − | 5.13415i | −0.0380687 | − | 0.264773i | ||||
\(377\) | −11.1372 | − | 3.27019i | −0.573597 | − | 0.168423i | ||||
\(378\) | −0.525067 | + | 0.605959i | −0.0270065 | + | 0.0311672i | ||||
\(379\) | −23.7006 | − | 15.2314i | −1.21742 | − | 0.782386i | −0.235532 | − | 0.971867i | \(-0.575683\pi\) |
−0.981884 | + | 0.189480i | \(0.939320\pi\) | |||||||
\(380\) | 2.83217 | + | 1.82012i | 0.145287 | + | 0.0933703i | ||||
\(381\) | −5.40410 | + | 6.23666i | −0.276860 | + | 0.319514i | ||||
\(382\) | −20.9484 | − | 6.15102i | −1.07182 | − | 0.314713i | ||||
\(383\) | −3.54819 | − | 24.6782i | −0.181304 | − | 1.26100i | −0.853684 | − | 0.520792i | \(-0.825637\pi\) |
0.672379 | − | 0.740207i | \(-0.265272\pi\) | |||||||
\(384\) | −0.654861 | − | 0.755750i | −0.0334182 | − | 0.0385667i | ||||
\(385\) | 1.50964 | + | 3.30564i | 0.0769382 | + | 0.168471i | ||||
\(386\) | −13.8448 | + | 4.06521i | −0.704683 | + | 0.206914i | ||||
\(387\) | 5.21261 | − | 11.4140i | 0.264972 | − | 0.580207i | ||||
\(388\) | 0.112855 | − | 0.784925i | 0.00572935 | − | 0.0398485i | ||||
\(389\) | 8.07380 | − | 5.18872i | 0.409358 | − | 0.263078i | −0.319716 | − | 0.947513i | \(-0.603587\pi\) |
0.729074 | + | 0.684435i | \(0.239951\pi\) | |||||||
\(390\) | 2.04187 | 0.103394 | ||||||||
\(391\) | 23.2574 | − | 12.1818i | 1.17618 | − | 0.616062i | ||||
\(392\) | 6.35712 | 0.321083 | ||||||||
\(393\) | −9.90436 | + | 6.36515i | −0.499609 | + | 0.321079i | ||||
\(394\) | −0.665118 | + | 4.62600i | −0.0335082 | + | 0.233054i | ||||
\(395\) | 0.823734 | − | 1.80372i | 0.0414465 | − | 0.0907553i | ||||
\(396\) | 4.34877 | − | 1.27691i | 0.218534 | − | 0.0641673i | ||||
\(397\) | 1.97167 | + | 4.31736i | 0.0989554 | + | 0.216682i | 0.952635 | − | 0.304117i | \(-0.0983614\pi\) |
−0.853679 | + | 0.520799i | \(0.825634\pi\) | |||||||
\(398\) | −2.55016 | − | 2.94304i | −0.127828 | − | 0.147521i | ||||
\(399\) | −0.384156 | − | 2.67186i | −0.0192318 | − | 0.133760i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | 11.0065 | − | 12.7021i | 0.549636 | − | 0.634314i | −0.411162 | − | 0.911562i | \(-0.634877\pi\) |
0.960798 | + | 0.277248i | \(0.0894224\pi\) | |||||||
\(402\) | 11.4849 | + | 7.38088i | 0.572813 | + | 0.368125i | ||||
\(403\) | −13.9709 | − | 8.97858i | −0.695942 | − | 0.447255i | ||||
\(404\) | −5.59078 | + | 6.45211i | −0.278152 | + | 0.321004i | ||||
\(405\) | 0.959493 | + | 0.281733i | 0.0476776 | + | 0.0139994i | ||||
\(406\) | −0.648669 | − | 4.51159i | −0.0321929 | − | 0.223907i | ||||
\(407\) | −12.7894 | − | 14.7597i | −0.633947 | − | 0.731614i | ||||
\(408\) | −2.27417 | − | 4.97974i | −0.112588 | − | 0.246534i | ||||
\(409\) | 14.5689 | − | 4.27782i | 0.720387 | − | 0.211525i | 0.0990662 | − | 0.995081i | \(-0.468414\pi\) |
0.621321 | + | 0.783556i | \(0.286596\pi\) | |||||||
\(410\) | 2.16830 | − | 4.74791i | 0.107084 | − | 0.234482i | ||||
\(411\) | 1.03996 | − | 7.23307i | 0.0512973 | − | 0.356781i | ||||
\(412\) | 16.3723 | − | 10.5219i | 0.806607 | − | 0.518375i | ||||
\(413\) | −2.44750 | −0.120433 | ||||||||
\(414\) | 1.59796 | + | 4.52178i | 0.0785355 | + | 0.222233i | ||||
\(415\) | 2.61791 | 0.128508 | ||||||||
\(416\) | 1.71773 | − | 1.10392i | 0.0842187 | − | 0.0541241i | ||||
\(417\) | −0.0402913 | + | 0.280232i | −0.00197307 | + | 0.0137230i | ||||
\(418\) | −6.33867 | + | 13.8798i | −0.310035 | + | 0.678881i | ||||
\(419\) | 13.4881 | − | 3.96046i | 0.658936 | − | 0.193481i | 0.0648656 | − | 0.997894i | \(-0.479338\pi\) |
0.594071 | + | 0.804413i | \(0.297520\pi\) | |||||||
\(420\) | 0.333079 | + | 0.729342i | 0.0162526 | + | 0.0355883i | ||||
\(421\) | 18.0401 | + | 20.8194i | 0.879221 | + | 1.01468i | 0.999759 | + | 0.0219669i | \(0.00699284\pi\) |
−0.120537 | + | 0.992709i | \(0.538462\pi\) | |||||||
\(422\) | −1.07167 | − | 7.45361i | −0.0521680 | − | 0.362836i | ||||
\(423\) | 4.97684 | + | 1.46133i | 0.241982 | + | 0.0710523i | ||||
\(424\) | 6.06642 | − | 7.00102i | 0.294611 | − | 0.340000i | ||||
\(425\) | −4.60541 | − | 2.95971i | −0.223395 | − | 0.143567i | ||||
\(426\) | −4.84158 | − | 3.11150i | −0.234576 | − | 0.150753i | ||||
\(427\) | −8.04477 | + | 9.28416i | −0.389314 | + | 0.449292i | ||||
\(428\) | 0.375921 | + | 0.110380i | 0.0181708 | + | 0.00533544i | ||||
\(429\) | 1.31705 | + | 9.16030i | 0.0635879 | + | 0.442263i | ||||
\(430\) | −8.21716 | − | 9.48311i | −0.396267 | − | 0.457316i | ||||
\(431\) | 9.79465 | + | 21.4473i | 0.471792 | + | 1.03308i | 0.984639 | + | 0.174600i | \(0.0558633\pi\) |
−0.512848 | + | 0.858480i | \(0.671409\pi\) | |||||||
\(432\) | 0.959493 | − | 0.281733i | 0.0461636 | − | 0.0135549i | ||||
\(433\) | −5.48636 | + | 12.0134i | −0.263658 | + | 0.577330i | −0.994443 | − | 0.105278i | \(-0.966427\pi\) |
0.730785 | + | 0.682607i | \(0.239154\pi\) | |||||||
\(434\) | 0.928082 | − | 6.45495i | 0.0445494 | − | 0.309848i | ||||
\(435\) | −4.78227 | + | 3.07338i | −0.229292 | + | 0.147357i | ||||
\(436\) | 7.37291 | 0.353098 | ||||||||
\(437\) | −15.0278 | − | 5.90326i | −0.718875 | − | 0.282391i | ||||
\(438\) | 3.74213 | 0.178806 | ||||||||
\(439\) | −23.7535 | + | 15.2654i | −1.13369 | + | 0.728579i | −0.966327 | − | 0.257316i | \(-0.917162\pi\) |
−0.167364 | + | 0.985895i | \(0.553525\pi\) | |||||||
\(440\) | 0.645022 | − | 4.48623i | 0.0307502 | − | 0.213873i | ||||
\(441\) | −2.64084 | + | 5.78264i | −0.125754 | + | 0.275364i | ||||
\(442\) | 10.7253 | − | 3.14924i | 0.510152 | − | 0.149794i | ||||
\(443\) | −1.97524 | − | 4.32516i | −0.0938463 | − | 0.205495i | 0.856887 | − | 0.515504i | \(-0.172395\pi\) |
−0.950734 | + | 0.310009i | \(0.899668\pi\) | |||||||
\(444\) | −2.82180 | − | 3.25653i | −0.133916 | − | 0.154548i | ||||
\(445\) | 0.999078 | + | 6.94874i | 0.0473608 | + | 0.329402i | ||||
\(446\) | 8.61109 | + | 2.52844i | 0.407747 | + | 0.119725i | ||||
\(447\) | 1.39521 | − | 1.61016i | 0.0659913 | − | 0.0761580i | ||||
\(448\) | 0.674516 | + | 0.433485i | 0.0318679 | + | 0.0204803i | ||||
\(449\) | −2.15313 | − | 1.38374i | −0.101613 | − | 0.0653025i | 0.488848 | − | 0.872369i | \(-0.337417\pi\) |
−0.590460 | + | 0.807067i | \(0.701054\pi\) | |||||||
\(450\) | 0.654861 | − | 0.755750i | 0.0308704 | − | 0.0356264i | ||||
\(451\) | 22.6988 | + | 6.66497i | 1.06884 | + | 0.313841i | ||||
\(452\) | −2.36044 | − | 16.4172i | −0.111026 | − | 0.772202i | ||||
\(453\) | −9.25100 | − | 10.6762i | −0.434650 | − | 0.501612i | ||||
\(454\) | −0.490016 | − | 1.07298i | −0.0229976 | − | 0.0503577i | ||||
\(455\) | −1.57085 | + | 0.461244i | −0.0736427 | + | 0.0216235i | ||||
\(456\) | −1.39854 | + | 3.06237i | −0.0654925 | + | 0.143409i | ||||
\(457\) | −2.85183 | + | 19.8349i | −0.133403 | + | 0.927839i | 0.807670 | + | 0.589635i | \(0.200728\pi\) |
−0.941073 | + | 0.338204i | \(0.890181\pi\) | |||||||
\(458\) | −15.0012 | + | 9.64070i | −0.700961 | + | 0.450480i | ||||
\(459\) | 5.47446 | 0.255526 | ||||||||
\(460\) | 4.77698 | + | 0.424859i | 0.222728 | + | 0.0198092i | ||||
\(461\) | −12.6646 | −0.589849 | −0.294925 | − | 0.955521i | \(-0.595295\pi\) | ||||
−0.294925 | + | 0.955521i | \(0.595295\pi\) | |||||||
\(462\) | −3.05715 | + | 1.96471i | −0.142232 | + | 0.0914067i | ||||
\(463\) | −2.29032 | + | 15.9295i | −0.106440 | + | 0.740308i | 0.864785 | + | 0.502143i | \(0.167455\pi\) |
−0.971225 | + | 0.238165i | \(0.923454\pi\) | |||||||
\(464\) | −2.36151 | + | 5.17098i | −0.109630 | + | 0.240057i | ||||
\(465\) | −7.80391 | + | 2.29144i | −0.361898 | + | 0.106263i | ||||
\(466\) | 11.8893 | + | 26.0340i | 0.550762 | + | 1.20600i | ||||
\(467\) | −14.3314 | − | 16.5393i | −0.663177 | − | 0.765347i | 0.320116 | − | 0.947378i | \(-0.396278\pi\) |
−0.983293 | + | 0.182031i | \(0.941733\pi\) | |||||||
\(468\) | 0.290588 | + | 2.02109i | 0.0134325 | + | 0.0934248i | ||||
\(469\) | −10.5028 | − | 3.08391i | −0.484976 | − | 0.142402i | ||||
\(470\) | 3.39673 | − | 3.92003i | 0.156679 | − | 0.180818i | ||||
\(471\) | 19.6172 | + | 12.6072i | 0.903912 | + | 0.580909i | ||||
\(472\) | 2.56793 | + | 1.65031i | 0.118199 | + | 0.0759617i | ||||
\(473\) | 37.2431 | − | 42.9809i | 1.71244 | − | 1.97626i | ||||
\(474\) | 1.90260 | + | 0.558652i | 0.0873891 | + | 0.0256598i | ||||
\(475\) | 0.479117 | + | 3.33233i | 0.0219834 | + | 0.152898i | ||||
\(476\) | 2.87446 | + | 3.31730i | 0.131750 | + | 0.152048i | ||||
\(477\) | 3.84827 | + | 8.42654i | 0.176200 | + | 0.385825i | ||||
\(478\) | −18.9148 | + | 5.55389i | −0.865144 | + | 0.254029i | ||||
\(479\) | −10.3040 | + | 22.5627i | −0.470803 | + | 1.03091i | 0.514088 | + | 0.857738i | \(0.328131\pi\) |
−0.984891 | + | 0.173177i | \(0.944597\pi\) | |||||||
\(480\) | 0.142315 | − | 0.989821i | 0.00649575 | − | 0.0451790i | ||||
\(481\) | 7.40170 | − | 4.75679i | 0.337489 | − | 0.216891i | ||||
\(482\) | 11.9445 | 0.544057 | ||||||||
\(483\) | −2.25078 | − | 3.11773i | −0.102414 | − | 0.141862i | ||||
\(484\) | 9.54230 | 0.433741 | ||||||||
\(485\) | 0.667111 | − | 0.428726i | 0.0302919 | − | 0.0194674i | ||||
\(486\) | −0.142315 | + | 0.989821i | −0.00645553 | + | 0.0448992i | ||||
\(487\) | 7.56252 | − | 16.5596i | 0.342690 | − | 0.750387i | −0.657304 | − | 0.753625i | \(-0.728303\pi\) |
0.999995 | + | 0.00323794i | \(0.00103067\pi\) | |||||||
\(488\) | 14.7008 | − | 4.31654i | 0.665474 | − | 0.195401i | ||||
\(489\) | 6.07946 | + | 13.3122i | 0.274923 | + | 0.601997i | ||||
\(490\) | 4.16303 | + | 4.80439i | 0.188066 | + | 0.217040i | ||||
\(491\) | 0.788382 | + | 5.48332i | 0.0355792 | + | 0.247459i | 0.999847 | − | 0.0174693i | \(-0.00556093\pi\) |
−0.964268 | + | 0.264928i | \(0.914652\pi\) | |||||||
\(492\) | 5.00816 | + | 1.47053i | 0.225785 | + | 0.0662965i | ||||
\(493\) | −20.3797 | + | 23.5194i | −0.917855 | + | 1.05926i | ||||
\(494\) | −5.78291 | − | 3.71645i | −0.260186 | − | 0.167211i | ||||
\(495\) | 3.81286 | + | 2.45038i | 0.171376 | + | 0.110136i | ||||
\(496\) | −5.32623 | + | 6.14679i | −0.239155 | + | 0.275999i | ||||
\(497\) | 4.42760 | + | 1.30006i | 0.198605 | + | 0.0583156i | ||||
\(498\) | 0.372568 | + | 2.59127i | 0.0166952 | + | 0.116117i | ||||
\(499\) | −14.2523 | − | 16.4481i | −0.638023 | − | 0.736318i | 0.341001 | − | 0.940063i | \(-0.389234\pi\) |
−0.979024 | + | 0.203745i | \(0.934689\pi\) | |||||||
\(500\) | −0.415415 | − | 0.909632i | −0.0185779 | − | 0.0406800i | ||||
\(501\) | 9.66411 | − | 2.83764i | 0.431761 | − | 0.126776i | ||||
\(502\) | 0.0925722 | − | 0.202705i | 0.00413170 | − | 0.00904716i | ||||
\(503\) | −5.49060 | + | 38.1879i | −0.244814 | + | 1.70272i | 0.382505 | + | 0.923953i | \(0.375061\pi\) |
−0.627319 | + | 0.778762i | \(0.715848\pi\) | |||||||
\(504\) | −0.674516 | + | 0.433485i | −0.0300453 | + | 0.0193090i | ||||
\(505\) | −8.53736 | −0.379908 | ||||||||
\(506\) | 1.17524 | + | 21.7046i | 0.0522458 | + | 0.964889i | ||||
\(507\) | 8.83076 | 0.392188 | ||||||||
\(508\) | −6.94227 | + | 4.46152i | −0.308013 | + | 0.197948i | ||||
\(509\) | −1.68890 | + | 11.7465i | −0.0748590 | + | 0.520656i | 0.917545 | + | 0.397632i | \(0.130168\pi\) |
−0.992404 | + | 0.123023i | \(0.960741\pi\) | |||||||
\(510\) | 2.27417 | − | 4.97974i | 0.100702 | − | 0.220507i | ||||
\(511\) | −2.87889 | + | 0.845320i | −0.127355 | + | 0.0373947i | ||||
\(512\) | −0.415415 | − | 0.909632i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | −2.20465 | − | 2.54431i | −0.0973379 | − | 0.112334i | ||||
\(514\) | −2.60563 | − | 18.1225i | −0.114929 | − | 0.799351i | ||||
\(515\) | 18.6735 | + | 5.48303i | 0.822852 | + | 0.241611i | ||||
\(516\) | 8.21716 | − | 9.48311i | 0.361740 | − | 0.417471i | ||||
\(517\) | 19.7771 | + | 12.7100i | 0.869797 | + | 0.558984i | ||||
\(518\) | 2.90649 | + | 1.86789i | 0.127704 | + | 0.0820703i | ||||
\(519\) | 14.6812 | − | 16.9430i | 0.644433 | − | 0.743716i | ||||
\(520\) | 1.95916 | + | 0.575261i | 0.0859149 | + | 0.0252269i | ||||
\(521\) | −0.491137 | − | 3.41593i | −0.0215171 | − | 0.149655i | 0.976230 | − | 0.216735i | \(-0.0695407\pi\) |
−0.997748 | + | 0.0670803i | \(0.978632\pi\) | |||||||
\(522\) | −3.72269 | − | 4.29621i | −0.162938 | − | 0.188040i | ||||
\(523\) | −17.8385 | − | 39.0609i | −0.780023 | − | 1.70801i | −0.703227 | − | 0.710966i | \(-0.748258\pi\) |
−0.0767966 | − | 0.997047i | \(-0.524469\pi\) | |||||||
\(524\) | −11.2964 | + | 3.31693i | −0.493487 | + | 0.144901i | ||||
\(525\) | −0.333079 | + | 0.729342i | −0.0145368 | + | 0.0318311i | ||||
\(526\) | −2.27608 | + | 15.8305i | −0.0992419 | + | 0.690243i | ||||
\(527\) | −37.4575 | + | 24.0725i | −1.63167 | + | 1.04861i | ||||
\(528\) | 4.53236 | 0.197246 | ||||||||
\(529\) | −22.8655 | + | 2.48348i | −0.994153 | + | 0.107977i | ||||
\(530\) | 9.26368 | 0.402389 | ||||||||
\(531\) | −2.56793 | + | 1.65031i | −0.111439 | + | 0.0716173i | ||||
\(532\) | 0.384156 | − | 2.67186i | 0.0166553 | − | 0.115840i | ||||
\(533\) | −4.42738 | + | 9.69461i | −0.191771 | + | 0.419920i | ||||
\(534\) | −6.73583 | + | 1.97782i | −0.291488 | + | 0.0855885i | ||||
\(535\) | 0.162756 | + | 0.356386i | 0.00703656 | + | 0.0154079i | ||||
\(536\) | 8.94022 | + | 10.3176i | 0.386159 | + | 0.445651i | ||||
\(537\) | −2.60016 | − | 18.0845i | −0.112205 | − | 0.780405i | ||||
\(538\) | 22.1526 | + | 6.50460i | 0.955068 | + | 0.280433i | ||||
\(539\) | −18.8683 | + | 21.7752i | −0.812717 | + | 0.937925i | ||||
\(540\) | 0.841254 | + | 0.540641i | 0.0362018 | + | 0.0232655i | ||||
\(541\) | −18.0400 | − | 11.5936i | −0.775602 | − | 0.498449i | 0.0919695 | − | 0.995762i | \(-0.470684\pi\) |
−0.867571 | + | 0.497313i | \(0.834320\pi\) | |||||||
\(542\) | −1.58941 | + | 1.83428i | −0.0682711 | + | 0.0787890i | ||||
\(543\) | −6.18778 | − | 1.81690i | −0.265543 | − | 0.0779705i | ||||
\(544\) | −0.779096 | − | 5.41873i | −0.0334035 | − | 0.232326i | ||||
\(545\) | 4.82823 | + | 5.57207i | 0.206819 | + | 0.238681i | ||||
\(546\) | −0.680105 | − | 1.48922i | −0.0291058 | − | 0.0637328i | ||||
\(547\) | −24.5662 | + | 7.21330i | −1.05038 | + | 0.308418i | −0.760969 | − | 0.648788i | \(-0.775276\pi\) |
−0.289407 | + | 0.957206i | \(0.593458\pi\) | |||||||
\(548\) | 3.03562 | − | 6.64709i | 0.129675 | − | 0.283949i | ||||
\(549\) | −2.18047 | + | 15.1655i | −0.0930600 | + | 0.647247i | ||||
\(550\) | 3.81286 | − | 2.45038i | 0.162581 | − | 0.104485i | ||||
\(551\) | 19.1381 | 0.815311 | ||||||||
\(552\) | 0.259300 | + | 4.78882i | 0.0110365 | + | 0.203826i | ||||
\(553\) | −1.58990 | −0.0676095 | ||||||||
\(554\) | −5.97726 | + | 3.84135i | −0.253950 | + | 0.163203i | ||||
\(555\) | 0.613235 | − | 4.26514i | 0.0260304 | − | 0.181045i | ||||
\(556\) | −0.117610 | + | 0.257529i | −0.00498776 | + | 0.0109217i | ||||
\(557\) | −31.6666 | + | 9.29816i | −1.34176 | + | 0.393976i | −0.872296 | − | 0.488977i | \(-0.837370\pi\) |
−0.469461 | + | 0.882953i | \(0.655552\pi\) | |||||||
\(558\) | −3.37873 | − | 7.39838i | −0.143033 | − | 0.313198i | ||||
\(559\) | 16.7784 | + | 19.3633i | 0.709650 | + | 0.818979i | ||||
\(560\) | 0.114108 | + | 0.793638i | 0.00482194 | + | 0.0335373i | ||||
\(561\) | 23.8071 | + | 6.99041i | 1.00514 | + | 0.295135i | ||||
\(562\) | 1.24435 | − | 1.43606i | 0.0524898 | − | 0.0605764i | ||||
\(563\) | 2.04050 | + | 1.31135i | 0.0859967 | + | 0.0552667i | 0.582933 | − | 0.812521i | \(-0.301905\pi\) |
−0.496936 | + | 0.867787i | \(0.665542\pi\) | |||||||
\(564\) | 4.36354 | + | 2.80427i | 0.183738 | + | 0.118081i | ||||
\(565\) | 10.8616 | − | 12.5349i | 0.456949 | − | 0.527348i | ||||
\(566\) | 14.7626 | + | 4.33470i | 0.620520 | + | 0.182201i | ||||
\(567\) | −0.114108 | − | 0.793638i | −0.00479208 | − | 0.0333297i | ||||
\(568\) | −3.76886 | − | 4.34949i | −0.158138 | − | 0.182501i | ||||
\(569\) | 7.04411 | + | 15.4245i | 0.295305 | + | 0.646627i | 0.997887 | − | 0.0649756i | \(-0.0206970\pi\) |
−0.702582 | + | 0.711603i | \(0.747970\pi\) | |||||||
\(570\) | −3.23023 | + | 0.948481i | −0.135299 | + | 0.0397275i | ||||
\(571\) | 12.5158 | − | 27.4059i | 0.523772 | − | 1.14690i | −0.444220 | − | 0.895918i | \(-0.646519\pi\) |
0.967992 | − | 0.250983i | \(-0.0807537\pi\) | |||||||
\(572\) | −1.31705 | + | 9.16030i | −0.0550687 | + | 0.383011i | ||||
\(573\) | 18.3669 | − | 11.8037i | 0.767290 | − | 0.493107i | ||||
\(574\) | −4.18506 | −0.174681 | ||||||||
\(575\) | 2.80717 | + | 3.88842i | 0.117067 | + | 0.162158i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −16.4260 | + | 10.5564i | −0.683824 | + | 0.439467i | −0.835885 | − | 0.548904i | \(-0.815045\pi\) |
0.152062 | + | 0.988371i | \(0.451409\pi\) | |||||||
\(578\) | 1.84578 | − | 12.8377i | 0.0767742 | − | 0.533976i | ||||
\(579\) | 5.99415 | − | 13.1254i | 0.249109 | − | 0.545472i | ||||
\(580\) | −5.45443 | + | 1.60156i | −0.226483 | + | 0.0665013i | ||||
\(581\) | −0.871973 | − | 1.90935i | −0.0361755 | − | 0.0792134i | ||||
\(582\) | 0.519302 | + | 0.599307i | 0.0215258 | + | 0.0248421i | ||||
\(583\) | 5.97528 | + | 41.5590i | 0.247471 | + | 1.72120i | ||||
\(584\) | 3.59054 | + | 1.05428i | 0.148578 | + | 0.0436264i | ||||
\(585\) | −1.33714 | + | 1.54314i | −0.0552840 | + | 0.0638011i | ||||
\(586\) | −2.70993 | − | 1.74157i | −0.111946 | − | 0.0719435i | ||||
\(587\) | 5.12688 | + | 3.29484i | 0.211609 | + | 0.135993i | 0.642152 | − | 0.766577i | \(-0.278042\pi\) |
−0.430543 | + | 0.902570i | \(0.641678\pi\) | |||||||
\(588\) | −4.16303 | + | 4.80439i | −0.171680 | + | 0.198130i | ||||
\(589\) | 26.2727 | + | 7.71435i | 1.08255 | + | 0.317864i | ||||
\(590\) | 0.434417 | + | 3.02144i | 0.0178847 | + | 0.124391i | ||||
\(591\) | −3.06054 | − | 3.53205i | −0.125894 | − | 0.145289i | ||||
\(592\) | −1.79002 | − | 3.91960i | −0.0735695 | − | 0.161095i | ||||
\(593\) | 26.7550 | − | 7.85599i | 1.09870 | − | 0.322607i | 0.318363 | − | 0.947969i | \(-0.396867\pi\) |
0.780335 | + | 0.625362i | \(0.215049\pi\) | |||||||
\(594\) | −1.88281 | + | 4.12278i | −0.0772527 | + | 0.169160i | ||||
\(595\) | −0.624679 | + | 4.34474i | −0.0256093 | + | 0.178117i | ||||
\(596\) | 1.79233 | − | 1.15186i | 0.0734168 | − | 0.0471821i | ||||
\(597\) | 3.89420 | 0.159379 | ||||||||
\(598\) | −9.75397 | − | 0.867508i | −0.398869 | − | 0.0354750i | ||||
\(599\) | 19.7629 | 0.807489 | 0.403745 | − | 0.914872i | \(-0.367708\pi\) | ||||
0.403745 | + | 0.914872i | \(0.367708\pi\) | |||||||
\(600\) | 0.841254 | − | 0.540641i | 0.0343440 | − | 0.0220716i | ||||
\(601\) | −0.728737 | + | 5.06848i | −0.0297258 | + | 0.206748i | −0.999272 | − | 0.0381628i | \(-0.987849\pi\) |
0.969546 | + | 0.244910i | \(0.0787586\pi\) | |||||||
\(602\) | −4.17946 | + | 9.15175i | −0.170342 | + | 0.372997i | ||||
\(603\) | −13.0991 | + | 3.84624i | −0.533436 | + | 0.156631i | ||||
\(604\) | −5.86843 | − | 12.8501i | −0.238783 | − | 0.522862i | ||||
\(605\) | 6.24888 | + | 7.21159i | 0.254053 | + | 0.293193i | ||||
\(606\) | −1.21499 | − | 8.45047i | −0.0493557 | − | 0.343277i | ||||
\(607\) | −29.1790 | − | 8.56772i | −1.18434 | − | 0.347753i | −0.370493 | − | 0.928835i | \(-0.620811\pi\) |
−0.813845 | + | 0.581082i | \(0.802629\pi\) | |||||||
\(608\) | −2.20465 | + | 2.54431i | −0.0894106 | + | 0.103185i | ||||
\(609\) | 3.83442 | + | 2.46423i | 0.155379 | + | 0.0998558i | ||||
\(610\) | 12.8892 | + | 8.28339i | 0.521868 | + | 0.335385i | ||||
\(611\) | −6.93567 | + | 8.00420i | −0.280587 | + | 0.323815i | ||||
\(612\) | 5.25270 | + | 1.54233i | 0.212328 | + | 0.0623451i | ||||
\(613\) | 2.65371 | + | 18.4570i | 0.107182 | + | 0.745470i | 0.970551 | + | 0.240896i | \(0.0774413\pi\) |
−0.863369 | + | 0.504574i | \(0.831650\pi\) | |||||||
\(614\) | 14.0642 | + | 16.2310i | 0.567586 | + | 0.655029i | ||||
\(615\) | 2.16830 | + | 4.74791i | 0.0874341 | + | 0.191454i | ||||
\(616\) | −3.48684 | + | 1.02383i | −0.140489 | + | 0.0412512i | ||||
\(617\) | 10.9254 | − | 23.9234i | 0.439841 | − | 0.963118i | −0.551786 | − | 0.833986i | \(-0.686053\pi\) |
0.991627 | − | 0.129133i | \(-0.0412193\pi\) | |||||||
\(618\) | −2.76971 | + | 19.2637i | −0.111414 | + | 0.774901i | ||||
\(619\) | 29.0034 | − | 18.6394i | 1.16575 | − | 0.749180i | 0.193034 | − | 0.981192i | \(-0.438167\pi\) |
0.972713 | + | 0.232012i | \(0.0745309\pi\) | |||||||
\(620\) | −8.13337 | −0.326644 | ||||||||
\(621\) | −4.46378 | − | 1.75348i | −0.179125 | − | 0.0703647i | ||||
\(622\) | 21.3628 | 0.856571 | ||||||||
\(623\) | 4.73524 | − | 3.04315i | 0.189713 | − | 0.121921i | ||||
\(624\) | −0.290588 | + | 2.02109i | −0.0116328 | + | 0.0809082i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −24.5917 | + | 7.22077i | −0.982882 | + | 0.288600i | ||||
\(627\) | −6.33867 | − | 13.8798i | −0.253142 | − | 0.554304i | ||||
\(628\) | 15.2707 | + | 17.6233i | 0.609367 | + | 0.703247i | ||||
\(629\) | −3.35713 | − | 23.3493i | −0.133857 | − | 0.930999i | ||||
\(630\) | −0.769321 | − | 0.225893i | −0.0306505 | − | 0.00899979i | ||||
\(631\) | 8.11573 | − | 9.36605i | 0.323082 | − | 0.372857i | −0.570854 | − | 0.821052i | \(-0.693388\pi\) |
0.893936 | + | 0.448195i | \(0.147933\pi\) | |||||||
\(632\) | 1.66814 | + | 1.07205i | 0.0663549 | + | 0.0426437i | ||||
\(633\) | 6.33486 | + | 4.07117i | 0.251788 | + | 0.161814i | ||||
\(634\) | −20.0992 | + | 23.1957i | −0.798241 | + | 0.921220i | ||||
\(635\) | −7.91801 | − | 2.32494i | −0.314217 | − | 0.0922623i | ||||
\(636\) | 1.31836 | + | 9.16939i | 0.0522763 | + | 0.363590i | ||||
\(637\) | −8.50036 | − | 9.80994i | −0.336797 | − | 0.388684i | ||||
\(638\) | −10.7032 | − | 23.4368i | −0.423744 | − | 0.927870i | ||||
\(639\) | 5.52208 | − | 1.62143i | 0.218450 | − | 0.0641427i | ||||
\(640\) | 0.415415 | − | 0.909632i | 0.0164207 | − | 0.0359564i | ||||
\(641\) | −4.91519 | + | 34.1859i | −0.194138 | + | 1.35026i | 0.626771 | + | 0.779203i | \(0.284376\pi\) |
−0.820910 | + | 0.571058i | \(0.806533\pi\) | |||||||
\(642\) | −0.329596 | + | 0.211818i | −0.0130081 | + | 0.00835981i | ||||
\(643\) | 9.77223 | 0.385379 | 0.192690 | − | 0.981260i | \(-0.438279\pi\) | ||||
0.192690 | + | 0.981260i | \(0.438279\pi\) | |||||||
\(644\) | −1.28124 | − | 3.62556i | −0.0504881 | − | 0.142867i | ||||
\(645\) | 12.5480 | 0.494075 | ||||||||
\(646\) | −15.5046 | + | 9.96418i | −0.610019 | + | 0.392035i | ||||
\(647\) | −0.724304 | + | 5.03764i | −0.0284753 | + | 0.198050i | −0.999093 | − | 0.0425758i | \(-0.986444\pi\) |
0.970618 | + | 0.240626i | \(0.0773527\pi\) | |||||||
\(648\) | −0.415415 | + | 0.909632i | −0.0163190 | + | 0.0357337i | ||||
\(649\) | −13.2746 | + | 3.89779i | −0.521075 | + | 0.153002i | ||||
\(650\) | 0.848224 | + | 1.85735i | 0.0332701 | + | 0.0728513i | ||||
\(651\) | 4.27056 | + | 4.92849i | 0.167377 | + | 0.193163i | ||||
\(652\) | 2.08273 | + | 14.4857i | 0.0815660 | + | 0.567304i | ||||
\(653\) | −13.0462 | − | 3.83071i | −0.510537 | − | 0.149907i | 0.0163104 | − | 0.999867i | \(-0.494808\pi\) |
−0.526848 | + | 0.849960i | \(0.676626\pi\) | |||||||
\(654\) | −4.82823 | + | 5.57207i | −0.188799 | + | 0.217885i | ||||
\(655\) | −9.90436 | − | 6.36515i | −0.386995 | − | 0.248707i | ||||
\(656\) | 4.39100 | + | 2.82192i | 0.171440 | + | 0.110178i | ||||
\(657\) | −2.45057 | + | 2.82811i | −0.0956059 | + | 0.110335i | ||||
\(658\) | −3.99042 | − | 1.17169i | −0.155563 | − | 0.0456774i | ||||
\(659\) | −1.92160 | − | 13.3651i | −0.0748551 | − | 0.520628i | −0.992406 | − | 0.123009i | \(-0.960746\pi\) |
0.917550 | − | 0.397619i | \(-0.130164\pi\) | |||||||
\(660\) | 2.96807 | + | 3.42533i | 0.115532 | + | 0.133331i | ||||
\(661\) | 4.07611 | + | 8.92543i | 0.158542 | + | 0.347159i | 0.972188 | − | 0.234202i | \(-0.0752477\pi\) |
−0.813646 | + | 0.581361i | \(0.802520\pi\) | |||||||
\(662\) | 24.1421 | − | 7.08875i | 0.938308 | − | 0.275512i | ||||
\(663\) | −4.64356 | + | 10.1680i | −0.180341 | + | 0.394892i | ||||
\(664\) | −0.372568 | + | 2.59127i | −0.0144584 | + | 0.100561i | ||||
\(665\) | 2.27083 | − | 1.45937i | 0.0880589 | − | 0.0565920i | ||||
\(666\) | 4.30900 | 0.166970 | ||||||||
\(667\) | 24.1506 | − | 12.6497i | 0.935113 | − | 0.489797i | ||||
\(668\) | 10.0721 | 0.389701 | ||||||||
\(669\) | −7.54993 | + | 4.85205i | −0.291897 | + | 0.187591i | ||||
\(670\) | −1.94290 | + | 13.5131i | −0.0750606 | + | 0.522058i | ||||
\(671\) | −28.8473 | + | 63.1669i | −1.11364 | + | 2.43853i | ||||
\(672\) | −0.769321 | + | 0.225893i | −0.0296772 | + | 0.00871401i | ||||
\(673\) | −1.89115 | − | 4.14103i | −0.0728983 | − | 0.159625i | 0.869675 | − | 0.493625i | \(-0.164329\pi\) |
−0.942573 | + | 0.334000i | \(0.891601\pi\) | |||||||
\(674\) | 16.2398 | + | 18.7418i | 0.625535 | + | 0.721906i | ||||
\(675\) | 0.142315 | + | 0.989821i | 0.00547770 | + | 0.0380982i | ||||
\(676\) | 8.47306 | + | 2.48791i | 0.325887 | + | 0.0956890i | ||||
\(677\) | 25.9019 | − | 29.8924i | 0.995491 | − | 1.14886i | 0.00663569 | − | 0.999978i | \(-0.497888\pi\) |
0.988855 | − | 0.148880i | \(-0.0475668\pi\) | |||||||
\(678\) | 13.9531 | + | 8.96710i | 0.535865 | + | 0.344380i | ||||
\(679\) | −0.534889 | − | 0.343752i | −0.0205272 | − | 0.0131920i | ||||
\(680\) | 3.58501 | − | 4.13732i | 0.137479 | − | 0.158659i | ||||
\(681\) | 1.13180 | + | 0.332326i | 0.0433707 | + | 0.0127348i | ||||
\(682\) | −5.24621 | − | 36.4882i | −0.200888 | − | 1.39720i | ||||
\(683\) | −14.1390 | − | 16.3173i | −0.541014 | − | 0.624364i | 0.417751 | − | 0.908561i | \(-0.362818\pi\) |
−0.958766 | + | 0.284197i | \(0.908273\pi\) | |||||||
\(684\) | −1.39854 | − | 3.06237i | −0.0534744 | − | 0.117093i | ||||
\(685\) | 7.01144 | − | 2.05875i | 0.267893 | − | 0.0786606i | ||||
\(686\) | 4.44898 | − | 9.74191i | 0.169863 | − | 0.371948i | ||||
\(687\) | 2.53776 | − | 17.6505i | 0.0968215 | − | 0.673408i | ||||
\(688\) | 10.5560 | − | 6.78393i | 0.402444 | − | 0.258635i | ||||
\(689\) | −18.9152 | −0.720613 | ||||||||
\(690\) | −3.44934 | + | 3.33197i | −0.131314 | + | 0.126846i | ||||
\(691\) | 21.0492 | 0.800749 | 0.400374 | − | 0.916352i | \(-0.368880\pi\) | ||||
0.400374 | + | 0.916352i | \(0.368880\pi\) | |||||||
\(692\) | 18.8599 | − | 12.1205i | 0.716946 | − | 0.460753i | ||||
\(693\) | 0.517178 | − | 3.59705i | 0.0196460 | − | 0.136641i | ||||
\(694\) | 7.63135 | − | 16.7103i | 0.289682 | − | 0.634315i | ||||
\(695\) | −0.271645 | + | 0.0797623i | −0.0103041 | + | 0.00302556i | ||||
\(696\) | −2.36151 | − | 5.17098i | −0.0895128 | − | 0.196006i | ||||
\(697\) | 18.7123 | + | 21.5951i | 0.708777 | + | 0.817973i | ||||
\(698\) | 1.94366 | + | 13.5185i | 0.0735688 | + | 0.511682i | ||||
\(699\) | −27.4610 | − | 8.06328i | −1.03867 | − | 0.304981i | ||||
\(700\) | −0.525067 | + | 0.605959i | −0.0198457 | + | 0.0229031i | ||||
\(701\) | −38.1647 | − | 24.5270i | −1.44146 | − | 0.926372i | −0.999571 | − | 0.0293036i | \(-0.990671\pi\) |
−0.441892 | − | 0.897068i | \(-0.645693\pi\) | |||||||
\(702\) | −1.71773 | − | 1.10392i | −0.0648316 | − | 0.0416647i | ||||
\(703\) | −9.49986 | + | 10.9634i | −0.358294 | + | 0.413493i | ||||
\(704\) | 4.34877 | + | 1.27691i | 0.163900 | + | 0.0481255i | ||||
\(705\) | 0.738179 | + | 5.13415i | 0.0278014 | + | 0.193363i | ||||
\(706\) | 8.34576 | + | 9.63152i | 0.314097 | + | 0.362487i | ||||
\(707\) | 2.84362 | + | 6.22666i | 0.106945 | + | 0.234178i | ||||
\(708\) | −2.92886 | + | 0.859991i | −0.110073 | + | 0.0323204i | ||||
\(709\) | −9.24002 | + | 20.2328i | −0.347016 | + | 0.759860i | 0.652981 | + | 0.757375i | \(0.273518\pi\) |
−0.999997 | + | 0.00248519i | \(0.999209\pi\) | |||||||
\(710\) | 0.819051 | − | 5.69662i | 0.0307384 | − | 0.213790i | ||||
\(711\) | −1.66814 | + | 1.07205i | −0.0625600 | + | 0.0402049i | ||||
\(712\) | −7.02020 | −0.263093 | ||||||||
\(713\) | 38.2526 | − | 7.63057i | 1.43257 | − | 0.285767i | ||||
\(714\) | −4.38941 | −0.164270 | ||||||||
\(715\) | −7.78538 | + | 5.00336i | −0.291157 | + | 0.187115i | ||||
\(716\) | 2.60016 | − | 18.0845i | 0.0971727 | − | 0.675851i | ||||
\(717\) | 8.18922 | − | 17.9319i | 0.305832 | − | 0.669679i | ||||
\(718\) | −5.32255 | + | 1.56284i | −0.198636 | + | 0.0583247i | ||||
\(719\) | −14.1594 | − | 31.0047i | −0.528055 | − | 1.15628i | −0.966299 | − | 0.257423i | \(-0.917127\pi\) |
0.438244 | − | 0.898856i | \(-0.355601\pi\) | |||||||
\(720\) | 0.654861 | + | 0.755750i | 0.0244052 | + | 0.0281651i | ||||
\(721\) | −2.22075 | − | 15.4456i | −0.0827050 | − | 0.575226i | ||||
\(722\) | −7.35547 | − | 2.15976i | −0.273742 | − | 0.0803780i | ||||
\(723\) | −7.82199 | + | 9.02706i | −0.290903 | + | 0.335720i | ||||
\(724\) | −5.42525 | − | 3.48660i | −0.201628 | − | 0.129578i | ||||
\(725\) | −4.78227 | − | 3.07338i | −0.177609 | − | 0.114142i | ||||
\(726\) | −6.24888 | + | 7.21159i | −0.231918 | + | 0.267647i | ||||
\(727\) | 24.7683 | + | 7.27264i | 0.918607 | + | 0.269727i | 0.706659 | − | 0.707554i | \(-0.250201\pi\) |
0.211947 | + | 0.977281i | \(0.432019\pi\) | |||||||
\(728\) | −0.232994 | − | 1.62051i | −0.00863532 | − | 0.0600600i | ||||
\(729\) | −0.654861 | − | 0.755750i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | 1.55454 | + | 3.40396i | 0.0575359 | + | 0.125986i | ||||
\(731\) | 65.9106 | − | 19.3531i | 2.43779 | − | 0.715801i | ||||
\(732\) | −6.36475 | + | 13.9369i | −0.235248 | + | 0.515121i | ||||
\(733\) | 3.40548 | − | 23.6856i | 0.125784 | − | 0.874848i | −0.825031 | − | 0.565088i | \(-0.808842\pi\) |
0.950815 | − | 0.309760i | \(-0.100249\pi\) | |||||||
\(734\) | 17.3756 | − | 11.1666i | 0.641344 | − | 0.412167i | ||||
\(735\) | −6.35712 | −0.234486 | ||||||||
\(736\) | −1.10037 | + | 4.66789i | −0.0405602 | + | 0.172061i | ||||
\(737\) | −61.8762 | −2.27924 | ||||||||
\(738\) | −4.39100 | + | 2.82192i | −0.161635 | + | 0.103876i | ||||
\(739\) | −5.16632 | + | 35.9325i | −0.190046 | + | 1.32180i | 0.641834 | + | 0.766844i | \(0.278174\pi\) |
−0.831880 | + | 0.554955i | \(0.812735\pi\) | |||||||
\(740\) | 1.79002 | − | 3.91960i | 0.0658026 | − | 0.144088i | ||||
\(741\) | 6.59571 | − | 1.93668i | 0.242300 | − | 0.0711456i | ||||
\(742\) | −3.08554 | − | 6.75639i | −0.113274 | − | 0.248035i | ||||
\(743\) | 8.56759 | + | 9.88752i | 0.314314 | + | 0.362738i | 0.890821 | − | 0.454354i | \(-0.150130\pi\) |
−0.576507 | + | 0.817092i | \(0.695585\pi\) | |||||||
\(744\) | −1.15750 | − | 8.05059i | −0.0424360 | − | 0.295149i | ||||
\(745\) | 2.04425 | + | 0.600245i | 0.0748954 | + | 0.0219913i | ||||
\(746\) | 11.4089 | − | 13.1666i | 0.417709 | − | 0.482062i | ||||
\(747\) | −2.20233 | − | 1.41535i | −0.0805790 | − | 0.0517850i | ||||
\(748\) | 20.8734 | + | 13.4145i | 0.763206 | + | 0.490483i | ||||
\(749\) | 0.205717 | − | 0.237410i | 0.00751672 | − | 0.00867476i | ||||
\(750\) | 0.959493 | + | 0.281733i | 0.0350357 | + | 0.0102874i | ||||
\(751\) | 0.608522 | + | 4.23236i | 0.0222053 | + | 0.154441i | 0.997907 | − | 0.0646605i | \(-0.0205964\pi\) |
−0.975702 | + | 0.219102i | \(0.929687\pi\) | |||||||
\(752\) | 3.39673 | + | 3.92003i | 0.123866 | + | 0.142949i | ||||
\(753\) | 0.0925722 | + | 0.202705i | 0.00337352 | + | 0.00738698i | ||||
\(754\) | 11.1372 | − | 3.27019i | 0.405594 | − | 0.119093i | ||||
\(755\) | 5.86843 | − | 12.8501i | 0.213574 | − | 0.467662i | ||||
\(756\) | 0.114108 | − | 0.793638i | 0.00415007 | − | 0.0288643i | ||||
\(757\) | −8.09072 | + | 5.19959i | −0.294062 | + | 0.188982i | −0.679350 | − | 0.733814i | \(-0.737738\pi\) |
0.385288 | + | 0.922796i | \(0.374102\pi\) | |||||||
\(758\) | 28.1729 | 1.02329 | ||||||||
\(759\) | −17.1729 | − | 13.3253i | −0.623337 | − | 0.483679i | ||||
\(760\) | −3.36660 | −0.122119 | ||||||||
\(761\) | −8.81295 | + | 5.66374i | −0.319469 | + | 0.205310i | −0.690540 | − | 0.723294i | \(-0.742627\pi\) |
0.371071 | + | 0.928605i | \(0.378991\pi\) | |||||||
\(762\) | 1.17442 | − | 8.16829i | 0.0425449 | − | 0.295906i | ||||
\(763\) | 2.45576 | − | 5.37737i | 0.0889046 | − | 0.194674i | ||||
\(764\) | 20.9484 | − | 6.15102i | 0.757888 | − | 0.222536i | ||||
\(765\) | 2.27417 | + | 4.97974i | 0.0822228 | + | 0.180043i | ||||
\(766\) | 16.3270 | + | 18.8424i | 0.589918 | + | 0.680802i | ||||
\(767\) | −0.887023 | − | 6.16938i | −0.0320286 | − | 0.222763i | ||||
\(768\) | 0.959493 | + | 0.281733i | 0.0346227 | + | 0.0101661i | ||||
\(769\) | 34.5477 | − | 39.8702i | 1.24582 | − | 1.43776i | 0.389735 | − | 0.920927i | \(-0.372566\pi\) |
0.856088 | − | 0.516830i | \(-0.172888\pi\) | |||||||
\(770\) | −3.05715 | − | 1.96471i | −0.110172 | − | 0.0708033i | ||||
\(771\) | 15.4024 | + | 9.89853i | 0.554704 | + | 0.356487i | ||||
\(772\) | 9.44919 | − | 10.9049i | 0.340084 | − | 0.392478i | ||||
\(773\) | −1.05860 | − | 0.310834i | −0.0380753 | − | 0.0111799i | 0.262639 | − | 0.964894i | \(-0.415407\pi\) |
−0.300715 | + | 0.953714i | \(0.597225\pi\) | |||||||
\(774\) | 1.78576 | + | 12.4202i | 0.0641878 | + | 0.446436i | ||||
\(775\) | −5.32623 | − | 6.14679i | −0.191324 | − | 0.220799i | ||||
\(776\) | 0.329423 | + | 0.721335i | 0.0118256 | + | 0.0258944i | ||||
\(777\) | −3.31500 | + | 0.973373i | −0.118925 | + | 0.0349196i | ||||
\(778\) | −3.98688 | + | 8.73005i | −0.142937 | + | 0.312988i | ||||
\(779\) | 2.50080 | − | 17.3934i | 0.0896003 | − | 0.623184i | ||||
\(780\) | −1.71773 | + | 1.10392i | −0.0615046 | + | 0.0395266i | ||||
\(781\) | 26.0847 | 0.933382 | ||||||||
\(782\) | −12.9793 | + | 22.8219i | −0.464141 | + | 0.816109i | ||||
\(783\) | 5.68470 | 0.203155 | ||||||||
\(784\) | −5.34795 | + | 3.43692i | −0.190998 | + | 0.122747i | ||||
\(785\) | −3.31864 | + | 23.0816i | −0.118447 | + | 0.823819i | ||||
\(786\) | 4.89082 | − | 10.7094i | 0.174450 | − | 0.381992i | ||||
\(787\) | −0.228252 | + | 0.0670208i | −0.00813630 | + | 0.00238903i | −0.285798 | − | 0.958290i | \(-0.592259\pi\) |
0.277662 | + | 0.960679i | \(0.410441\pi\) | |||||||
\(788\) | −1.94147 | − | 4.25123i | −0.0691620 | − | 0.151444i | ||||
\(789\) | −10.4734 | − | 12.0869i | −0.372862 | − | 0.430306i | ||||
\(790\) | 0.282199 | + | 1.96273i | 0.0100402 | + | 0.0698309i | ||||
\(791\) | −12.7600 | − | 3.74668i | −0.453694 | − | 0.133216i | ||||
\(792\) | −2.96807 | + | 3.42533i | −0.105466 | + | 0.121714i | ||||
\(793\) | −26.3181 | − | 16.9136i | −0.934582 | − | 0.600620i | ||||
\(794\) | −3.99282 | − | 2.56603i | −0.141700 | − | 0.0910649i | ||||
\(795\) | −6.06642 | + | 7.00102i | −0.215154 | + | 0.248301i | ||||
\(796\) | 3.73645 | + | 1.09712i | 0.132435 | + | 0.0388865i | ||||
\(797\) | −2.52654 | − | 17.5725i | −0.0894948 | − | 0.622450i | −0.984367 | − | 0.176128i | \(-0.943643\pi\) |
0.894872 | − | 0.446322i | \(-0.147266\pi\) | |||||||
\(798\) | 1.76769 | + | 2.04002i | 0.0625756 | + | 0.0722161i | ||||
\(799\) | 11.7960 | + | 25.8296i | 0.417312 | + | 0.913787i | ||||
\(800\) | 0.959493 | − | 0.281733i | 0.0339232 | − | 0.00996075i | ||||
\(801\) | 2.91629 | − | 6.38579i | 0.103042 | − | 0.225631i | ||||
\(802\) | −2.39193 | + | 16.6363i | −0.0844621 | + | 0.587447i | ||||
\(803\) | −14.2682 | + | 9.16963i | −0.503515 | + | 0.323589i | ||||
\(804\) | −13.6521 | −0.481472 | ||||||||
\(805\) | 1.90098 | − | 3.34254i | 0.0670007 | − | 0.117809i | ||||
\(806\) | 16.6073 | 0.584967 | ||||||||
\(807\) | −19.4227 | + | 12.4822i | −0.683713 | + | 0.439396i | ||||
\(808\) | 1.21499 | − | 8.45047i | 0.0427433 | − | 0.297286i | ||||
\(809\) | −14.6059 | + | 31.9824i | −0.513514 | + | 1.12444i | 0.458323 | + | 0.888786i | \(0.348450\pi\) |
−0.971837 | + | 0.235654i | \(0.924277\pi\) | |||||||
\(810\) | −0.959493 | + | 0.281733i | −0.0337131 | + | 0.00989907i | ||||
\(811\) | −14.7911 | − | 32.3879i | −0.519384 | − | 1.13729i | −0.969672 | − | 0.244410i | \(-0.921406\pi\) |
0.450288 | − | 0.892884i | \(-0.351321\pi\) | |||||||
\(812\) | 2.98485 | + | 3.44470i | 0.104748 | + | 0.120885i | ||||
\(813\) | −0.345412 | − | 2.40239i | −0.0121141 | − | 0.0842556i | ||||
\(814\) | 18.7388 | + | 5.50222i | 0.656796 | + | 0.192853i | ||||
\(815\) | −9.58367 | + | 11.0601i | −0.335701 | + | 0.387420i | ||||
\(816\) | 4.60541 | + | 2.95971i | 0.161221 | + | 0.103611i | ||||
\(817\) | −35.5379 | − | 22.8388i | −1.24331 | − | 0.799029i | ||||
\(818\) | −9.94340 | + | 11.4753i | −0.347663 | + | 0.401224i | ||||
\(819\) | 1.57085 | + | 0.461244i | 0.0548901 | + | 0.0161172i | ||||
\(820\) | 0.742825 | + | 5.16646i | 0.0259406 | + | 0.180421i | ||||
\(821\) | −3.24866 | − | 3.74915i | −0.113379 | − | 0.130846i | 0.696223 | − | 0.717826i | \(-0.254862\pi\) |
−0.809602 | + | 0.586979i | \(0.800317\pi\) | |||||||
\(822\) | 3.03562 | + | 6.64709i | 0.105880 | + | 0.231844i | ||||
\(823\) | 5.14456 | − | 1.51058i | 0.179328 | − | 0.0526555i | −0.190836 | − | 0.981622i | \(-0.561120\pi\) |
0.370164 | + | 0.928967i | \(0.379302\pi\) | |||||||
\(824\) | −8.08473 | + | 17.7031i | −0.281645 | + | 0.616717i | ||||
\(825\) | −0.645022 | + | 4.48623i | −0.0224568 | + | 0.156190i | ||||
\(826\) | 2.05897 | − | 1.32322i | 0.0716406 | − | 0.0460406i | ||||
\(827\) | 14.5268 | 0.505145 | 0.252572 | − | 0.967578i | \(-0.418723\pi\) | ||||
0.252572 | + | 0.967578i | \(0.418723\pi\) | |||||||
\(828\) | −3.78895 | − | 2.94004i | −0.131675 | − | 0.102174i | ||||
\(829\) | −42.9182 | −1.49061 | −0.745305 | − | 0.666723i | \(-0.767696\pi\) | ||||
−0.745305 | + | 0.666723i | \(0.767696\pi\) | |||||||
\(830\) | −2.20233 | + | 1.41535i | −0.0764440 | + | 0.0491275i | ||||
\(831\) | 1.01117 | − | 7.03287i | 0.0350772 | − | 0.243967i | ||||
\(832\) | −0.848224 | + | 1.85735i | −0.0294069 | + | 0.0643921i | ||||
\(833\) | −33.3920 | + | 9.80479i | −1.15697 | + | 0.339716i | ||||
\(834\) | −0.117610 | − | 0.257529i | −0.00407249 | − | 0.00891751i | ||||
\(835\) | 6.59582 | + | 7.61199i | 0.228258 | + | 0.263424i | ||||
\(836\) | −2.17153 | − | 15.1033i | −0.0751040 | − | 0.522360i | ||||
\(837\) | 7.80391 | + | 2.29144i | 0.269743 | + | 0.0792036i | ||||
\(838\) | −9.20572 | + | 10.6240i | −0.318006 | + | 0.366999i | ||||
\(839\) | 8.34492 | + | 5.36295i | 0.288099 | + | 0.185150i | 0.676705 | − | 0.736254i | \(-0.263407\pi\) |
−0.388607 | + | 0.921404i | \(0.627043\pi\) | |||||||
\(840\) | −0.674516 | − | 0.433485i | −0.0232730 | − | 0.0149567i | ||||
\(841\) | −2.17138 | + | 2.50591i | −0.0748752 | + | 0.0864105i | ||||
\(842\) | −26.4321 | − | 7.76117i | −0.910911 | − | 0.267468i | ||||
\(843\) | 0.270423 | + | 1.88083i | 0.00931387 | + | 0.0647794i | ||||
\(844\) | 4.93127 | + | 5.69099i | 0.169741 | + | 0.195892i | ||||
\(845\) | 3.66843 | + | 8.03275i | 0.126198 | + | 0.276335i | ||||
\(846\) | −4.97684 | + | 1.46133i | −0.171107 | + | 0.0502416i | ||||
\(847\) | 3.17834 | − | 6.95960i | 0.109209 | − | 0.239135i | ||||
\(848\) | −1.31836 | + | 9.16939i | −0.0452726 | + | 0.314878i | ||||
\(849\) | −12.9434 | + | 8.31823i | −0.444217 | + | 0.285481i | ||||
\(850\) | 5.47446 | 0.187772 | ||||||||
\(851\) | −4.74149 | + | 20.1139i | −0.162536 | + | 0.689497i | ||||
\(852\) | 5.75520 | 0.197170 | ||||||||
\(853\) | 9.94524 | − | 6.39142i | 0.340519 | − | 0.218838i | −0.359193 | − | 0.933263i | \(-0.616948\pi\) |
0.699712 | + | 0.714425i | \(0.253312\pi\) | |||||||
\(854\) | 1.74830 | − | 12.1597i | 0.0598254 | − | 0.416095i | ||||
\(855\) | 1.39854 | − | 3.06237i | 0.0478289 | − | 0.104731i | ||||
\(856\) | −0.375921 | + | 0.110380i | −0.0128487 | + | 0.00377272i | ||||
\(857\) | −18.0629 | − | 39.5523i | −0.617018 | − | 1.35108i | −0.917669 | − | 0.397346i | \(-0.869931\pi\) |
0.300651 | − | 0.953734i | \(-0.402796\pi\) | |||||||
\(858\) | −6.06041 | − | 6.99408i | −0.206899 | − | 0.238774i | ||||
\(859\) | −6.36242 | − | 44.2516i | −0.217083 | − | 1.50985i | −0.748727 | − | 0.662878i | \(-0.769335\pi\) |
0.531644 | − | 0.846968i | \(-0.321574\pi\) | |||||||
\(860\) | 12.0397 | + | 3.53517i | 0.410549 | + | 0.120548i | ||||
\(861\) | 2.74063 | − | 3.16286i | 0.0934005 | − | 0.107790i | ||||
\(862\) | −19.8351 | − | 12.7472i | −0.675585 | − | 0.434172i | ||||
\(863\) | 34.5930 | + | 22.2315i | 1.17756 | + | 0.756771i | 0.974936 | − | 0.222486i | \(-0.0714173\pi\) |
0.202622 | + | 0.979257i | \(0.435054\pi\) | |||||||
\(864\) | −0.654861 | + | 0.755750i | −0.0222788 | + | 0.0257111i | ||||
\(865\) | 21.5107 | + | 6.31611i | 0.731386 | + | 0.214754i | ||||
\(866\) | −1.87954 | − | 13.0725i | −0.0638695 | − | 0.444222i | ||||
\(867\) | 8.49333 | + | 9.80182i | 0.288449 | + | 0.332887i | ||||
\(868\) | 2.70906 | + | 5.93201i | 0.0919515 | + | 0.201346i | ||||
\(869\) | −8.62325 | + | 2.53201i | −0.292524 | + | 0.0858927i | ||||
\(870\) | 2.36151 | − | 5.17098i | 0.0800626 | − | 0.175313i | ||||
\(871\) | 3.96714 | − | 27.5921i | 0.134421 | − | 0.934922i | ||||
\(872\) | −6.20248 | + | 3.98609i | −0.210043 | + | 0.134986i | ||||
\(873\) | −0.792996 | −0.0268389 | ||||||||
\(874\) | 15.8337 | − | 3.15848i | 0.535583 | − | 0.106837i | ||||
\(875\) | −0.801799 | −0.0271058 | ||||||||
\(876\) | −3.14808 | + | 2.02315i | −0.106364 | + | 0.0683558i | ||||
\(877\) | −0.264048 | + | 1.83649i | −0.00891626 | + | 0.0620139i | −0.993794 | − | 0.111238i | \(-0.964518\pi\) |
0.984878 | + | 0.173252i | \(0.0554275\pi\) | |||||||
\(878\) | 11.7296 | − | 25.6842i | 0.395854 | − | 0.866799i | ||||
\(879\) | 3.09082 | − | 0.907545i | 0.104251 | − | 0.0306107i | ||||
\(880\) | 1.88281 | + | 4.12278i | 0.0634695 | + | 0.138979i | ||||
\(881\) | 29.6479 | + | 34.2155i | 0.998863 | + | 1.15275i | 0.988256 | + | 0.152805i | \(0.0488307\pi\) |
0.0106063 | + | 0.999944i | \(0.496624\pi\) | |||||||
\(882\) | −0.904712 | − | 6.29241i | −0.0304632 | − | 0.211877i | ||||
\(883\) | −1.75246 | − | 0.514568i | −0.0589749 | − | 0.0173166i | 0.252112 | − | 0.967698i | \(-0.418875\pi\) |
−0.311087 | + | 0.950381i | \(0.600693\pi\) | |||||||
\(884\) | −7.32012 | + | 8.44787i | −0.246202 | + | 0.284133i | ||||
\(885\) | −2.56793 | − | 1.65031i | −0.0863201 | − | 0.0554746i | ||||
\(886\) | 4.00003 | + | 2.57067i | 0.134384 | + | 0.0863632i | ||||
\(887\) | 23.6724 | − | 27.3195i | 0.794843 | − | 0.917298i | −0.203244 | − | 0.979128i | \(-0.565148\pi\) |
0.998087 | + | 0.0618306i | \(0.0196939\pi\) | |||||||
\(888\) | 4.13446 | + | 1.21399i | 0.138743 | + | 0.0407387i | ||||
\(889\) | 0.941651 | + | 6.54933i | 0.0315820 | + | 0.219657i | ||||
\(890\) | −4.59725 | − | 5.30551i | −0.154100 | − | 0.177841i | ||||
\(891\) | −1.88281 | − | 4.12278i | −0.0630765 | − | 0.138118i | ||||
\(892\) | −8.61109 | + | 2.52844i | −0.288320 | + | 0.0846585i | ||||
\(893\) | 7.25413 | − | 15.8843i | 0.242750 | − | 0.531549i | ||||
\(894\) | −0.303209 | + | 2.10886i | −0.0101408 | + | 0.0705309i | ||||
\(895\) | 15.3701 | − | 9.87778i | 0.513766 | − | 0.330178i | ||||
\(896\) | −0.801799 | −0.0267862 | ||||||||
\(897\) | 7.04311 | − | 6.80346i | 0.235163 | − | 0.227161i | ||||
\(898\) | 2.55944 | 0.0854095 | ||||||||
\(899\) | −38.8960 | + | 24.9969i | −1.29725 | + | 0.833695i | ||||
\(900\) | −0.142315 | + | 0.989821i | −0.00474383 | + | 0.0329940i | ||||
\(901\) | −21.0672 | + | 46.1307i | −0.701850 | + | 1.53684i | ||||
\(902\) | −22.6988 | + | 6.66497i | −0.755787 | + | 0.221919i | ||||
\(903\) | −4.17946 | − | 9.15175i | −0.139084 | − | 0.304551i | ||||
\(904\) | 10.8616 | + | 12.5349i | 0.361250 | + | 0.416905i | ||||
\(905\) | −0.917790 | − | 6.38337i | −0.0305084 | − | 0.212190i | ||||
\(906\) | 13.5544 | + | 3.97994i | 0.450316 | + | 0.132225i | ||||
\(907\) | 29.7225 | − | 34.3016i | 0.986919 | − | 1.13896i | −0.00337792 | − | 0.999994i | \(-0.501075\pi\) |
0.990297 | − | 0.138970i | \(-0.0443793\pi\) | |||||||
\(908\) | 0.992327 | + | 0.637730i | 0.0329315 | + | 0.0211638i | ||||
\(909\) | 7.18209 | + | 4.61565i | 0.238215 | + | 0.153091i | ||||
\(910\) | 1.07212 | − | 1.23729i | 0.0355404 | − | 0.0410158i | ||||
\(911\) | −1.07924 | − | 0.316893i | −0.0357568 | − | 0.0104991i | 0.263805 | − | 0.964576i | \(-0.415022\pi\) |
−0.299562 | + | 0.954077i | \(0.596841\pi\) | |||||||
\(912\) | −0.479117 | − | 3.33233i | −0.0158652 | − | 0.110345i | ||||
\(913\) | −7.77014 | − | 8.96722i | −0.257154 | − | 0.296772i | ||||
\(914\) | −8.32446 | − | 18.2280i | −0.275349 | − | 0.602929i | ||||
\(915\) | −14.7008 | + | 4.31654i | −0.485993 | + | 0.142701i | ||||
\(916\) | 7.40768 | − | 16.2205i | 0.244757 | − | 0.535942i | ||||
\(917\) | −1.34343 | + | 9.34377i | −0.0443640 | + | 0.308558i | ||||
\(918\) | −4.60541 | + | 2.95971i | −0.152001 | + | 0.0976851i | ||||
\(919\) | −11.3990 | −0.376020 | −0.188010 | − | 0.982167i | \(-0.560204\pi\) | ||||
−0.188010 | + | 0.982167i | \(0.560204\pi\) | |||||||
\(920\) | −4.24834 | + | 2.22521i | −0.140064 | + | 0.0733631i | ||||
\(921\) | −21.4767 | −0.707680 | ||||||||
\(922\) | 10.6541 | − | 6.84700i | 0.350875 | − | 0.225494i | ||||
\(923\) | −1.67240 | + | 11.6318i | −0.0550476 | + | 0.382864i | ||||
\(924\) | 1.50964 | − | 3.30564i | 0.0496634 | − | 0.108748i | ||||
\(925\) | 4.13446 | − | 1.21399i | 0.135940 | − | 0.0399156i | ||||
\(926\) | −6.68541 | − | 14.6390i | −0.219696 | − | 0.481068i | ||||
\(927\) | −12.7448 | − | 14.7083i | −0.418594 | − | 0.483083i | ||||
\(928\) | −0.809017 | − | 5.62684i | −0.0265573 | − | 0.184710i | ||||
\(929\) | 0.419324 | + | 0.123125i | 0.0137576 | + | 0.00403959i | 0.288604 | − | 0.957449i | \(-0.406809\pi\) |
−0.274847 | + | 0.961488i | \(0.588627\pi\) | |||||||
\(930\) | 5.32623 | − | 6.14679i | 0.174654 | − | 0.201561i | ||||
\(931\) | 18.0044 | + | 11.5707i | 0.590071 | + | 0.379215i | ||||
\(932\) | −24.0769 | − | 15.4733i | −0.788667 | − | 0.506845i | ||||
\(933\) | −13.9897 | + | 16.1449i | −0.458001 | + | 0.528562i | ||||
\(934\) | 20.9981 | + | 6.16561i | 0.687080 | + | 0.201745i | ||||
\(935\) | 3.53115 | + | 24.5597i | 0.115481 | + | 0.803187i | ||||
\(936\) | −1.33714 | − | 1.54314i | −0.0437058 | − | 0.0504392i | ||||
\(937\) | 2.17563 | + | 4.76397i | 0.0710748 | + | 0.155632i | 0.941835 | − | 0.336076i | \(-0.109100\pi\) |
−0.870760 | + | 0.491708i | \(0.836373\pi\) | |||||||
\(938\) | 10.5028 | − | 3.08391i | 0.342930 | − | 0.100693i | ||||
\(939\) | 10.6470 | − | 23.3138i | 0.347453 | − | 0.760816i | ||||
\(940\) | −0.738179 | + | 5.13415i | −0.0240767 | + | 0.167457i | ||||
\(941\) | −43.9936 | + | 28.2730i | −1.43415 | + | 0.921673i | −0.434371 | + | 0.900734i | \(0.643029\pi\) |
−0.999781 | + | 0.0209391i | \(0.993334\pi\) | |||||||
\(942\) | −23.3190 | −0.759773 | ||||||||
\(943\) | −8.34070 | − | 23.6018i | −0.271611 | − | 0.768582i | ||||
\(944\) | −3.05251 | −0.0993506 | ||||||||
\(945\) | 0.674516 | − | 0.433485i | 0.0219420 | − | 0.0141013i | ||||
\(946\) | −8.09371 | + | 56.2930i | −0.263149 | + | 1.83024i | ||||
\(947\) | 3.80191 | − | 8.32503i | 0.123546 | − | 0.270527i | −0.837746 | − | 0.546060i | \(-0.816127\pi\) |
0.961292 | + | 0.275533i | \(0.0888543\pi\) | |||||||
\(948\) | −1.90260 | + | 0.558652i | −0.0617934 | + | 0.0181442i | ||||
\(949\) | −3.17416 | − | 6.95044i | −0.103038 | − | 0.225621i | ||||
\(950\) | −2.20465 | − | 2.54431i | −0.0715285 | − | 0.0825482i | ||||
\(951\) | −4.36797 | − | 30.3799i | −0.141641 | − | 0.985137i | ||||
\(952\) | −4.21161 | − | 1.23664i | −0.136499 | − | 0.0400798i | ||||
\(953\) | −29.2292 | + | 33.7323i | −0.946828 | + | 1.09270i | 0.0487553 | + | 0.998811i | \(0.484475\pi\) |
−0.995583 | + | 0.0938866i | \(0.970071\pi\) | |||||||
\(954\) | −7.79310 | − | 5.00832i | −0.252311 | − | 0.162150i | ||||
\(955\) | 18.3669 | + | 11.8037i | 0.594340 | + | 0.381959i | ||||
\(956\) | 12.9095 | − | 14.8984i | 0.417523 | − | 0.481847i | ||||
\(957\) | 24.7214 | + | 7.25887i | 0.799131 | + | 0.234646i | ||||
\(958\) | −3.53000 | − | 24.5517i | −0.114049 | − | 0.793230i | ||||
\(959\) | −3.83690 | − | 4.42802i | −0.123900 | − | 0.142988i | ||||
\(960\) | 0.415415 | + | 0.909632i | 0.0134075 | + | 0.0293582i | ||||
\(961\) | −33.7279 | + | 9.90340i | −1.08800 | + | 0.319464i | ||||
\(962\) | −3.65500 | + | 8.00333i | −0.117842 | + | 0.258038i | ||||
\(963\) | 0.0557577 | − | 0.387804i | 0.00179677 | − | 0.0124968i | ||||
\(964\) | −10.0484 | + | 6.45769i | −0.323636 | + | 0.207988i | ||||
\(965\) | 14.4293 | 0.464496 | ||||||||
\(966\) | 3.57905 | + | 1.40594i | 0.115154 | + | 0.0452353i | ||||
\(967\) | −30.7784 | −0.989767 | −0.494883 | − | 0.868959i | \(-0.664789\pi\) | ||||
−0.494883 | + | 0.868959i | \(0.664789\pi\) | |||||||
\(968\) | −8.02749 | + | 5.15896i | −0.258013 | + | 0.165815i | ||||
\(969\) | 2.62291 | − | 18.2427i | 0.0842599 | − | 0.586040i | ||||
\(970\) | −0.329423 | + | 0.721335i | −0.0105771 | + | 0.0231607i | ||||
\(971\) | 11.1912 | − | 3.28603i | 0.359143 | − | 0.105454i | −0.0971832 | − | 0.995267i | \(-0.530983\pi\) |
0.456326 | + | 0.889813i | \(0.349165\pi\) | |||||||
\(972\) | −0.415415 | − | 0.909632i | −0.0133244 | − | 0.0291765i | ||||
\(973\) | 0.148654 | + | 0.171555i | 0.00476561 | + | 0.00549981i | ||||
\(974\) | 2.59080 | + | 18.0194i | 0.0830147 | + | 0.577380i | ||||
\(975\) | −1.95916 | − | 0.575261i | −0.0627434 | − | 0.0184231i | ||||
\(976\) | −10.0334 | + | 11.5792i | −0.321161 | + | 0.370640i | ||||
\(977\) | 10.1836 | + | 6.54458i | 0.325801 | + | 0.209380i | 0.693308 | − | 0.720641i | \(-0.256152\pi\) |
−0.367507 | + | 0.930021i | \(0.619789\pi\) | |||||||
\(978\) | −12.3115 | − | 7.91210i | −0.393677 | − | 0.253001i | ||||
\(979\) | 20.8364 | − | 24.0465i | 0.665934 | − | 0.768529i | ||||
\(980\) | −6.09961 | − | 1.79101i | −0.194845 | − | 0.0572116i | ||||
\(981\) | −1.04927 | − | 7.29786i | −0.0335007 | − | 0.233003i | ||||
\(982\) | −3.62773 | − | 4.18663i | −0.115766 | − | 0.133601i | ||||
\(983\) | 13.4326 | + | 29.4132i | 0.428432 | + | 0.938135i | 0.993579 | + | 0.113145i | \(0.0360924\pi\) |
−0.565146 | + | 0.824991i | \(0.691180\pi\) | |||||||
\(984\) | −5.00816 | + | 1.47053i | −0.159654 | + | 0.0468787i | ||||
\(985\) | 1.94147 | − | 4.25123i | 0.0618604 | − | 0.135455i | ||||
\(986\) | 4.42893 | − | 30.8039i | 0.141046 | − | 0.980995i | ||||
\(987\) | 3.49868 | − | 2.24846i | 0.111364 | − | 0.0715694i | ||||
\(988\) | 6.87416 | 0.218696 | ||||||||
\(989\) | −59.9413 | − | 5.33111i | −1.90602 | − | 0.169520i | ||||
\(990\) | −4.53236 | −0.144048 | ||||||||
\(991\) | 40.5767 | − | 26.0771i | 1.28896 | − | 0.828366i | 0.296997 | − | 0.954878i | \(-0.404015\pi\) |
0.991965 | + | 0.126512i | \(0.0403783\pi\) | |||||||
\(992\) | 1.15750 | − | 8.05059i | 0.0367507 | − | 0.255606i | ||||
\(993\) | −10.4524 | + | 22.8875i | −0.331696 | + | 0.726313i | ||||
\(994\) | −4.42760 | + | 1.30006i | −0.140435 | + | 0.0412354i | ||||
\(995\) | 1.61771 | + | 3.54229i | 0.0512848 | + | 0.112298i | ||||
\(996\) | −1.71437 | − | 1.97849i | −0.0543219 | − | 0.0626908i | ||||
\(997\) | −1.34851 | − | 9.37909i | −0.0427077 | − | 0.297039i | −0.999969 | − | 0.00781576i | \(-0.997512\pi\) |
0.957262 | − | 0.289223i | \(-0.0933970\pi\) | |||||||
\(998\) | 20.8823 | + | 6.13161i | 0.661019 | + | 0.194093i | ||||
\(999\) | −2.82180 | + | 3.25653i | −0.0892776 | + | 0.103032i |
(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 | 690.2.m.f.541.1 | yes | 20 | |
23.2 | even | 11 | inner | 690.2.m.f.301.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.f.301.1 | ✓ | 20 | 23.2 | even | 11 | inner | |
690.2.m.f.541.1 | yes | 20 | 1.1 | even | 1 | trivial |