Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 109.15 | ||
Character | \(\chi\) | \(=\) | 175.109 |
Dual form | 175.2.t.a.114.15 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.75026 | + | 0.183960i | 1.23762 | + | 0.130079i | 0.700640 | − | 0.713515i | \(-0.252898\pi\) |
0.536981 | + | 0.843594i | \(0.319565\pi\) | |||||||
\(3\) | 0.0685885 | − | 0.322683i | 0.0395996 | − | 0.186301i | −0.953902 | − | 0.300117i | \(-0.902974\pi\) |
0.993502 | + | 0.113816i | \(0.0363075\pi\) | |||||||
\(4\) | 1.07327 | + | 0.228131i | 0.536636 | + | 0.114066i | ||||
\(5\) | 2.20735 | + | 0.357248i | 0.987155 | + | 0.159766i | ||||
\(6\) | 0.179408 | − | 0.552162i | 0.0732431 | − | 0.225419i | ||||
\(7\) | −2.55400 | + | 0.690709i | −0.965322 | + | 0.261063i | ||||
\(8\) | −1.51099 | − | 0.490951i | −0.534216 | − | 0.173577i | ||||
\(9\) | 2.64122 | + | 1.17595i | 0.880405 | + | 0.391982i | ||||
\(10\) | 3.79771 | + | 1.03134i | 1.20094 | + | 0.326138i | ||||
\(11\) | 1.99925 | − | 0.890124i | 0.602797 | − | 0.268382i | −0.0825644 | − | 0.996586i | \(-0.526311\pi\) |
0.685361 | + | 0.728203i | \(0.259644\pi\) | |||||||
\(12\) | 0.147228 | − | 0.330680i | 0.0425011 | − | 0.0954591i | ||||
\(13\) | −2.54477 | − | 3.50257i | −0.705791 | − | 0.971438i | −0.999877 | − | 0.0156594i | \(-0.995015\pi\) |
0.294086 | − | 0.955779i | \(-0.404985\pi\) | |||||||
\(14\) | −4.59723 | + | 0.739087i | −1.22866 | + | 0.197529i | ||||
\(15\) | 0.266676 | − | 0.687771i | 0.0688556 | − | 0.177582i | ||||
\(16\) | −4.55909 | − | 2.02984i | −1.13977 | − | 0.507459i | ||||
\(17\) | −2.97661 | + | 2.68015i | −0.721934 | + | 0.650033i | −0.945860 | − | 0.324573i | \(-0.894779\pi\) |
0.223926 | + | 0.974606i | \(0.428113\pi\) | |||||||
\(18\) | 4.40649 | + | 2.54409i | 1.03862 | + | 0.599647i | ||||
\(19\) | −5.05781 | + | 1.07507i | −1.16034 | + | 0.246638i | −0.747561 | − | 0.664193i | \(-0.768775\pi\) |
−0.412780 | + | 0.910831i | \(0.635442\pi\) | |||||||
\(20\) | 2.28758 | + | 0.886988i | 0.511519 | + | 0.198337i | ||||
\(21\) | 0.0477053 | + | 0.871508i | 0.0104102 | + | 0.190179i | ||||
\(22\) | 3.66295 | − | 1.19017i | 0.780945 | − | 0.253744i | ||||
\(23\) | 1.36930 | + | 0.143919i | 0.285519 | + | 0.0300093i | 0.246205 | − | 0.969218i | \(-0.420816\pi\) |
0.0393136 | + | 0.999227i | \(0.487483\pi\) | |||||||
\(24\) | −0.262058 | + | 0.453898i | −0.0534924 | + | 0.0926516i | ||||
\(25\) | 4.74475 | + | 1.57714i | 0.948950 | + | 0.315428i | ||||
\(26\) | −3.80967 | − | 6.59854i | −0.747138 | − | 1.29408i | ||||
\(27\) | 1.14233 | − | 1.57229i | 0.219842 | − | 0.302586i | ||||
\(28\) | −2.89871 | + | 0.158672i | −0.547805 | + | 0.0299862i | ||||
\(29\) | 2.10487 | + | 6.47814i | 0.390865 | + | 1.20296i | 0.932135 | + | 0.362111i | \(0.117944\pi\) |
−0.541270 | + | 0.840849i | \(0.682056\pi\) | |||||||
\(30\) | 0.593275 | − | 1.15472i | 0.108317 | − | 0.210822i | ||||
\(31\) | −4.71845 | − | 5.24037i | −0.847459 | − | 0.941198i | 0.151423 | − | 0.988469i | \(-0.451614\pi\) |
−0.998882 | + | 0.0472706i | \(0.984948\pi\) | |||||||
\(32\) | −4.85438 | − | 2.80268i | −0.858142 | − | 0.495448i | ||||
\(33\) | −0.150103 | − | 0.706177i | −0.0261295 | − | 0.122930i | ||||
\(34\) | −5.70288 | + | 4.14339i | −0.978036 | + | 0.710585i | ||||
\(35\) | −5.88432 | + | 0.612222i | −0.994631 | + | 0.103484i | ||||
\(36\) | 2.56647 | + | 1.86465i | 0.427746 | + | 0.310775i | ||||
\(37\) | −1.79411 | + | 4.02963i | −0.294949 | + | 0.662467i | −0.998856 | − | 0.0478258i | \(-0.984771\pi\) |
0.703906 | + | 0.710293i | \(0.251437\pi\) | |||||||
\(38\) | −9.05025 | + | 0.951219i | −1.46814 | + | 0.154308i | ||||
\(39\) | −1.30476 | + | 0.580918i | −0.208929 | + | 0.0930213i | ||||
\(40\) | −3.15989 | − | 1.62350i | −0.499622 | − | 0.256697i | ||||
\(41\) | 7.67501 | − | 5.57622i | 1.19863 | − | 0.870859i | 0.204485 | − | 0.978870i | \(-0.434448\pi\) |
0.994150 | + | 0.108011i | \(0.0344480\pi\) | |||||||
\(42\) | −0.0768257 | + | 1.53414i | −0.0118545 | + | 0.236723i | ||||
\(43\) | 0.649592i | 0.0990619i | 0.998773 | + | 0.0495309i | \(0.0157726\pi\) | ||||
−0.998773 | + | 0.0495309i | \(0.984227\pi\) | |||||||
\(44\) | 2.34881 | − | 0.499254i | 0.354096 | − | 0.0752654i | ||||
\(45\) | 5.40997 | + | 3.53929i | 0.806471 | + | 0.527606i | ||||
\(46\) | 2.37016 | + | 0.503792i | 0.349461 | + | 0.0742801i | ||||
\(47\) | −1.55222 | − | 1.39763i | −0.226415 | − | 0.203865i | 0.548114 | − | 0.836404i | \(-0.315346\pi\) |
−0.774528 | + | 0.632539i | \(0.782013\pi\) | |||||||
\(48\) | −0.967695 | + | 1.33192i | −0.139675 | + | 0.192246i | ||||
\(49\) | 6.04584 | − | 3.52814i | 0.863692 | − | 0.504020i | ||||
\(50\) | 8.01441 | + | 3.63325i | 1.13341 | + | 0.513819i | ||||
\(51\) | 0.660680 | + | 1.14433i | 0.0925136 | + | 0.160238i | ||||
\(52\) | −1.93218 | − | 4.33975i | −0.267945 | − | 0.601815i | ||||
\(53\) | 2.44987 | − | 11.5257i | 0.336515 | − | 1.58318i | −0.406337 | − | 0.913723i | \(-0.633194\pi\) |
0.742852 | − | 0.669456i | \(-0.233473\pi\) | |||||||
\(54\) | 2.28862 | − | 2.54176i | 0.311441 | − | 0.345890i | ||||
\(55\) | 4.73103 | − | 1.25058i | 0.637932 | − | 0.168628i | ||||
\(56\) | 4.19818 | + | 0.210234i | 0.561005 | + | 0.0280936i | ||||
\(57\) | 1.70581i | 0.225940i | ||||||||
\(58\) | 2.49236 | + | 11.7256i | 0.327263 | + | 1.53965i | ||||
\(59\) | 1.02305 | + | 9.73366i | 0.133190 | + | 1.26721i | 0.833156 | + | 0.553038i | \(0.186532\pi\) |
−0.699966 | + | 0.714176i | \(0.746802\pi\) | |||||||
\(60\) | 0.443118 | − | 0.677328i | 0.0572063 | − | 0.0874426i | ||||
\(61\) | −0.429656 | + | 4.08790i | −0.0550118 | + | 0.523402i | 0.931966 | + | 0.362546i | \(0.118092\pi\) |
−0.986978 | + | 0.160857i | \(0.948574\pi\) | |||||||
\(62\) | −7.29450 | − | 10.0400i | −0.926402 | − | 1.27508i | ||||
\(63\) | −7.55790 | − | 1.17905i | −0.952207 | − | 0.148547i | ||||
\(64\) | 0.0940194 | + | 0.0683091i | 0.0117524 | + | 0.00853864i | ||||
\(65\) | −4.36589 | − | 8.64050i | −0.541522 | − | 1.07172i | ||||
\(66\) | −0.132810 | − | 1.26361i | −0.0163478 | − | 0.155539i | ||||
\(67\) | 5.89101 | − | 5.30429i | 0.719701 | − | 0.648022i | −0.225600 | − | 0.974220i | \(-0.572434\pi\) |
0.945301 | + | 0.326198i | \(0.105768\pi\) | |||||||
\(68\) | −3.80614 | + | 2.19748i | −0.461562 | + | 0.266483i | ||||
\(69\) | 0.140359 | − | 0.431979i | 0.0168972 | − | 0.0520042i | ||||
\(70\) | −10.4117 | − | 0.0109300i | −1.24444 | − | 0.00130639i | ||||
\(71\) | 1.52770 | + | 4.70178i | 0.181305 | + | 0.557999i | 0.999865 | − | 0.0164216i | \(-0.00522740\pi\) |
−0.818560 | + | 0.574421i | \(0.805227\pi\) | |||||||
\(72\) | −3.41352 | − | 3.07355i | −0.402288 | − | 0.362221i | ||||
\(73\) | 5.98514 | + | 13.4428i | 0.700508 | + | 1.57337i | 0.814684 | + | 0.579905i | \(0.196910\pi\) |
−0.114176 | + | 0.993460i | \(0.536423\pi\) | |||||||
\(74\) | −3.88144 | + | 6.72285i | −0.451208 | + | 0.781516i | ||||
\(75\) | 0.834352 | − | 1.42288i | 0.0963426 | − | 0.164300i | ||||
\(76\) | −5.67366 | −0.650814 | ||||||||
\(77\) | −4.49127 | + | 3.65428i | −0.511828 | + | 0.416444i | ||||
\(78\) | −2.39054 | + | 0.776733i | −0.270675 | + | 0.0879477i | ||||
\(79\) | 9.73650 | − | 10.8135i | 1.09544 | − | 1.21661i | 0.120838 | − | 0.992672i | \(-0.461442\pi\) |
0.974603 | − | 0.223939i | \(-0.0718916\pi\) | |||||||
\(80\) | −9.33833 | − | 6.10928i | −1.04406 | − | 0.683038i | ||||
\(81\) | 5.37471 | + | 5.96922i | 0.597190 | + | 0.663247i | ||||
\(82\) | 14.4591 | − | 8.34794i | 1.59674 | − | 0.921876i | ||||
\(83\) | 1.66194 | + | 0.539998i | 0.182422 | + | 0.0592725i | 0.398804 | − | 0.917036i | \(-0.369426\pi\) |
−0.216382 | + | 0.976309i | \(0.569426\pi\) | |||||||
\(84\) | −0.147617 | + | 0.946249i | −0.0161064 | + | 0.103244i | ||||
\(85\) | −7.52789 | + | 4.85264i | −0.816514 | + | 0.526342i | ||||
\(86\) | −0.119499 | + | 1.13695i | −0.0128859 | + | 0.122601i | ||||
\(87\) | 2.23476 | − | 0.234882i | 0.239591 | − | 0.0251820i | ||||
\(88\) | −3.45786 | + | 0.363436i | −0.368609 | + | 0.0387424i | ||||
\(89\) | 0.805187 | − | 7.66084i | 0.0853496 | − | 0.812047i | −0.865190 | − | 0.501444i | \(-0.832802\pi\) |
0.950540 | − | 0.310603i | \(-0.100531\pi\) | |||||||
\(90\) | 8.81777 | + | 7.18989i | 0.929475 | + | 0.757881i | ||||
\(91\) | 8.91859 | + | 7.18788i | 0.934923 | + | 0.753494i | ||||
\(92\) | 1.43680 | + | 0.466845i | 0.149797 | + | 0.0486719i | ||||
\(93\) | −2.01461 | + | 1.16314i | −0.208906 | + | 0.120612i | ||||
\(94\) | −2.45968 | − | 2.73176i | −0.253697 | − | 0.281759i | ||||
\(95\) | −11.5484 | + | 0.566160i | −1.18484 | + | 0.0580868i | ||||
\(96\) | −1.23733 | + | 1.37420i | −0.126285 | + | 0.140253i | ||||
\(97\) | −1.06317 | + | 0.345444i | −0.107948 | + | 0.0350745i | −0.362493 | − | 0.931986i | \(-0.618074\pi\) |
0.254545 | + | 0.967061i | \(0.418074\pi\) | |||||||
\(98\) | 11.2308 | − | 5.06298i | 1.13449 | − | 0.511438i | ||||
\(99\) | 6.32719 | 0.635907 | ||||||||
\(100\) | 4.73261 | + | 2.77512i | 0.473261 | + | 0.277512i | ||||
\(101\) | 0.725244 | − | 1.25616i | 0.0721645 | − | 0.124993i | −0.827685 | − | 0.561193i | \(-0.810343\pi\) |
0.899850 | + | 0.436200i | \(0.143676\pi\) | |||||||
\(102\) | 0.945850 | + | 2.12441i | 0.0936531 | + | 0.210348i | ||||
\(103\) | −1.67683 | − | 1.50983i | −0.165223 | − | 0.148768i | 0.582372 | − | 0.812923i | \(-0.302125\pi\) |
−0.747595 | + | 0.664155i | \(0.768791\pi\) | |||||||
\(104\) | 2.12553 | + | 6.54171i | 0.208425 | + | 0.641468i | ||||
\(105\) | −0.206042 | + | 1.94076i | −0.0201077 | + | 0.189399i | ||||
\(106\) | 6.40817 | − | 19.7223i | 0.622416 | − | 1.91560i | ||||
\(107\) | −14.9357 | + | 8.62313i | −1.44389 | + | 0.833630i | −0.998106 | − | 0.0615115i | \(-0.980408\pi\) |
−0.445783 | + | 0.895141i | \(0.647075\pi\) | |||||||
\(108\) | 1.58472 | − | 1.42689i | 0.152490 | − | 0.137302i | ||||
\(109\) | 0.207796 | + | 1.97704i | 0.0199032 | + | 0.189366i | 0.999956 | − | 0.00937046i | \(-0.00298275\pi\) |
−0.980053 | + | 0.198737i | \(0.936316\pi\) | |||||||
\(110\) | 8.51059 | − | 1.31852i | 0.811453 | − | 0.125716i | ||||
\(111\) | 1.17724 | + | 0.855314i | 0.111739 | + | 0.0811828i | ||||
\(112\) | 13.0459 | + | 2.03520i | 1.23273 | + | 0.192308i | ||||
\(113\) | −7.70892 | − | 10.6104i | −0.725194 | − | 0.998144i | −0.999335 | − | 0.0364542i | \(-0.988394\pi\) |
0.274142 | − | 0.961689i | \(-0.411606\pi\) | |||||||
\(114\) | −0.313800 | + | 2.98561i | −0.0293901 | + | 0.279628i | ||||
\(115\) | 2.97111 | + | 0.806860i | 0.277057 | + | 0.0752401i | ||||
\(116\) | 0.781239 | + | 7.43299i | 0.0725362 | + | 0.690136i | ||||
\(117\) | −2.60245 | − | 12.2436i | −0.240596 | − | 1.13192i | ||||
\(118\) | 17.2246i | 1.58566i | ||||||||
\(119\) | 5.75106 | − | 8.90109i | 0.527199 | − | 0.815961i | ||||
\(120\) | −0.740607 | + | 0.908290i | −0.0676079 | + | 0.0829152i | ||||
\(121\) | −4.15575 | + | 4.61543i | −0.377796 | + | 0.419585i | ||||
\(122\) | −1.50402 | + | 7.07585i | −0.136167 | + | 0.640618i | ||||
\(123\) | −1.27294 | − | 2.85906i | −0.114777 | − | 0.257793i | ||||
\(124\) | −3.86869 | − | 6.70077i | −0.347419 | − | 0.601747i | ||||
\(125\) | 9.90987 | + | 5.17634i | 0.886365 | + | 0.462986i | ||||
\(126\) | −13.0114 | − | 3.45400i | −1.15915 | − | 0.307707i | ||||
\(127\) | 0.121811 | − | 0.167658i | 0.0108090 | − | 0.0148773i | −0.803578 | − | 0.595199i | \(-0.797073\pi\) |
0.814387 | + | 0.580322i | \(0.197073\pi\) | |||||||
\(128\) | 8.48318 | + | 7.63829i | 0.749814 | + | 0.675136i | ||||
\(129\) | 0.209613 | + | 0.0445545i | 0.0184554 | + | 0.00392281i | ||||
\(130\) | −6.05194 | − | 15.9263i | −0.530790 | − | 1.39683i | ||||
\(131\) | 2.43852 | − | 0.518324i | 0.213055 | − | 0.0452861i | −0.100148 | − | 0.994973i | \(-0.531932\pi\) |
0.313202 | + | 0.949686i | \(0.398598\pi\) | |||||||
\(132\) | − | 0.792163i | − | 0.0689490i | ||||||
\(133\) | 12.1751 | − | 6.23920i | 1.05571 | − | 0.541008i | ||||
\(134\) | 11.2866 | − | 8.20017i | 0.975011 | − | 0.708387i | ||||
\(135\) | 3.08322 | − | 3.06248i | 0.265361 | − | 0.263576i | ||||
\(136\) | 5.81346 | − | 2.58832i | 0.498500 | − | 0.221946i | ||||
\(137\) | −6.34677 | + | 0.667073i | −0.542241 | + | 0.0569919i | −0.371690 | − | 0.928357i | \(-0.621222\pi\) |
−0.170551 | + | 0.985349i | \(0.554555\pi\) | |||||||
\(138\) | 0.325131 | − | 0.730256i | 0.0276770 | − | 0.0621635i | ||||
\(139\) | −0.797627 | − | 0.579510i | −0.0676538 | − | 0.0491534i | 0.553444 | − | 0.832886i | \(-0.313313\pi\) |
−0.621098 | + | 0.783733i | \(0.713313\pi\) | |||||||
\(140\) | −6.45514 | − | 0.685315i | −0.545559 | − | 0.0579197i | ||||
\(141\) | −0.557455 | + | 0.405015i | −0.0469462 | + | 0.0341084i | ||||
\(142\) | 1.80894 | + | 8.51038i | 0.151803 | + | 0.714175i | ||||
\(143\) | −8.20535 | − | 4.73736i | −0.686166 | − | 0.396158i | ||||
\(144\) | −9.65456 | − | 10.7225i | −0.804547 | − | 0.893540i | ||||
\(145\) | 2.33188 | + | 15.0514i | 0.193652 | + | 1.24995i | ||||
\(146\) | 8.00261 | + | 24.6295i | 0.662300 | + | 2.03835i | ||||
\(147\) | −0.723798 | − | 2.19288i | −0.0596979 | − | 0.180866i | ||||
\(148\) | −2.84485 | + | 3.91560i | −0.233845 | + | 0.321860i | ||||
\(149\) | −4.55328 | − | 7.88652i | −0.373019 | − | 0.646089i | 0.617009 | − | 0.786956i | \(-0.288344\pi\) |
−0.990028 | + | 0.140867i | \(0.955011\pi\) | |||||||
\(150\) | 1.72208 | − | 2.33692i | 0.140608 | − | 0.190809i | ||||
\(151\) | −10.7476 | + | 18.6154i | −0.874626 | + | 1.51490i | −0.0174655 | + | 0.999847i | \(0.505560\pi\) |
−0.857161 | + | 0.515049i | \(0.827774\pi\) | |||||||
\(152\) | 8.17011 | + | 0.858713i | 0.662684 | + | 0.0696509i | ||||
\(153\) | −11.0136 | + | 3.57853i | −0.890396 | + | 0.289307i | ||||
\(154\) | −8.53313 | + | 5.56972i | −0.687619 | + | 0.448821i | ||||
\(155\) | −8.54314 | − | 13.2530i | −0.686201 | − | 1.06450i | ||||
\(156\) | −1.53289 | + | 0.325826i | −0.122730 | + | 0.0260870i | ||||
\(157\) | 0.524079 | + | 0.302577i | 0.0418260 | + | 0.0241483i | 0.520767 | − | 0.853699i | \(-0.325646\pi\) |
−0.478941 | + | 0.877847i | \(0.658979\pi\) | |||||||
\(158\) | 19.0306 | − | 17.1353i | 1.51400 | − | 1.36321i | ||||
\(159\) | −3.55112 | − | 1.58106i | −0.281622 | − | 0.125386i | ||||
\(160\) | −9.71405 | − | 7.92070i | −0.767963 | − | 0.626186i | ||||
\(161\) | −3.59660 | + | 0.578219i | −0.283452 | + | 0.0455700i | ||||
\(162\) | 8.30905 | + | 11.4364i | 0.652820 | + | 0.898530i | ||||
\(163\) | −0.839498 | + | 1.88554i | −0.0657546 | + | 0.147687i | −0.943433 | − | 0.331562i | \(-0.892424\pi\) |
0.877679 | + | 0.479249i | \(0.159091\pi\) | |||||||
\(164\) | 9.50948 | − | 4.23389i | 0.742566 | − | 0.330612i | ||||
\(165\) | −0.0790479 | − | 1.61240i | −0.00615387 | − | 0.125525i | ||||
\(166\) | 2.80949 | + | 1.25087i | 0.218059 | + | 0.0970862i | ||||
\(167\) | −8.47766 | − | 2.75456i | −0.656021 | − | 0.213154i | −0.0379538 | − | 0.999279i | \(-0.512084\pi\) |
−0.618067 | + | 0.786125i | \(0.712084\pi\) | |||||||
\(168\) | 0.355785 | − | 1.34026i | 0.0274494 | − | 0.103404i | ||||
\(169\) | −1.77494 | + | 5.46272i | −0.136534 | + | 0.420209i | ||||
\(170\) | −14.0685 | + | 7.10854i | −1.07900 | + | 0.545200i | ||||
\(171\) | −14.6230 | − | 3.10821i | −1.11825 | − | 0.237691i | ||||
\(172\) | −0.148192 | + | 0.697189i | −0.0112995 | + | 0.0531602i | ||||
\(173\) | −11.3980 | − | 1.19797i | −0.866571 | − | 0.0910803i | −0.339199 | − | 0.940715i | \(-0.610156\pi\) |
−0.527372 | + | 0.849634i | \(0.676823\pi\) | |||||||
\(174\) | 3.95461 | 0.299798 | ||||||||
\(175\) | −13.2074 | − | 0.750775i | −0.998388 | − | 0.0567533i | ||||
\(176\) | −10.9216 | −0.823244 | ||||||||
\(177\) | 3.21106 | + | 0.337496i | 0.241358 | + | 0.0253677i | ||||
\(178\) | 2.81857 | − | 13.2603i | 0.211261 | − | 0.993904i | ||||
\(179\) | −8.82043 | − | 1.87484i | −0.659270 | − | 0.140132i | −0.133885 | − | 0.990997i | \(-0.542745\pi\) |
−0.525385 | + | 0.850865i | \(0.676079\pi\) | |||||||
\(180\) | 4.99895 | + | 5.03280i | 0.372600 | + | 0.375123i | ||||
\(181\) | 5.54033 | − | 17.0514i | 0.411809 | − | 1.26742i | −0.503264 | − | 0.864133i | \(-0.667868\pi\) |
0.915074 | − | 0.403287i | \(-0.132132\pi\) | |||||||
\(182\) | 14.2876 | + | 14.2213i | 1.05907 | + | 1.05415i | ||||
\(183\) | 1.28963 | + | 0.419026i | 0.0953321 | + | 0.0309753i | ||||
\(184\) | −1.99834 | − | 0.889720i | −0.147320 | − | 0.0655911i | ||||
\(185\) | −5.39979 | + | 8.25384i | −0.397000 | + | 0.606834i | ||||
\(186\) | −3.74006 | + | 1.66518i | −0.274235 | + | 0.122097i | ||||
\(187\) | −3.56533 | + | 8.00785i | −0.260722 | + | 0.585592i | ||||
\(188\) | −1.34711 | − | 1.85414i | −0.0982484 | − | 0.135227i | ||||
\(189\) | −1.83153 | + | 4.80464i | −0.133224 | + | 0.349486i | ||||
\(190\) | −20.3168 | − | 1.13351i | −1.47394 | − | 0.0822337i | ||||
\(191\) | −21.7081 | − | 9.66508i | −1.57075 | − | 0.699341i | −0.577610 | − | 0.816313i | \(-0.696015\pi\) |
−0.993135 | + | 0.116972i | \(0.962681\pi\) | |||||||
\(192\) | 0.0284909 | − | 0.0256533i | 0.00205615 | − | 0.00185137i | ||||
\(193\) | 15.3960 | + | 8.88890i | 1.10823 | + | 0.639837i | 0.938370 | − | 0.345632i | \(-0.112335\pi\) |
0.169859 | + | 0.985468i | \(0.445669\pi\) | |||||||
\(194\) | −1.92437 | + | 0.409037i | −0.138162 | + | 0.0293671i | ||||
\(195\) | −3.08759 | + | 0.816162i | −0.221107 | + | 0.0584466i | ||||
\(196\) | 7.29371 | − | 2.40741i | 0.520980 | − | 0.171958i | ||||
\(197\) | −10.6119 | + | 3.44802i | −0.756068 | + | 0.245662i | −0.661590 | − | 0.749865i | \(-0.730118\pi\) |
−0.0944780 | + | 0.995527i | \(0.530118\pi\) | |||||||
\(198\) | 11.0742 | + | 1.16395i | 0.787011 | + | 0.0827182i | ||||
\(199\) | 6.31817 | − | 10.9434i | 0.447883 | − | 0.775756i | −0.550365 | − | 0.834924i | \(-0.685511\pi\) |
0.998248 | + | 0.0591680i | \(0.0188448\pi\) | |||||||
\(200\) | −6.39498 | − | 4.71248i | −0.452193 | − | 0.333223i | ||||
\(201\) | −1.30755 | − | 2.26474i | −0.0922275 | − | 0.159743i | ||||
\(202\) | 1.50045 | − | 2.06519i | 0.105571 | − | 0.145306i | ||||
\(203\) | −9.85036 | − | 15.0913i | −0.691360 | − | 1.05920i | ||||
\(204\) | 0.448032 | + | 1.37890i | 0.0313685 | + | 0.0965423i | ||||
\(205\) | 18.9335 | − | 9.56676i | 1.32237 | − | 0.668172i | ||||
\(206\) | −2.65714 | − | 2.95106i | −0.185132 | − | 0.205610i | ||||
\(207\) | 3.44738 | + | 1.99034i | 0.239609 | + | 0.138339i | ||||
\(208\) | 4.49217 | + | 21.1340i | 0.311476 | + | 1.46538i | ||||
\(209\) | −9.15488 | + | 6.65141i | −0.633256 | + | 0.460088i | ||||
\(210\) | −0.717650 | + | 3.35893i | −0.0495225 | + | 0.231788i | ||||
\(211\) | −3.22644 | − | 2.34414i | −0.222117 | − | 0.161377i | 0.471162 | − | 0.882047i | \(-0.343835\pi\) |
−0.693279 | + | 0.720669i | \(0.743835\pi\) | |||||||
\(212\) | 5.25875 | − | 11.8113i | 0.361172 | − | 0.811206i | ||||
\(213\) | 1.62197 | − | 0.170476i | 0.111136 | − | 0.0116808i | ||||
\(214\) | −27.7277 | + | 12.3452i | −1.89542 | + | 0.843897i | ||||
\(215\) | −0.232066 | + | 1.43387i | −0.0158267 | + | 0.0977894i | ||||
\(216\) | −2.49797 | + | 1.81488i | −0.169965 | + | 0.123487i | ||||
\(217\) | 15.6705 | + | 10.1248i | 1.06378 | + | 0.687319i | ||||
\(218\) | 3.49856i | 0.236953i | ||||||||
\(219\) | 4.74829 | − | 1.00928i | 0.320860 | − | 0.0682009i | ||||
\(220\) | 5.36298 | − | 0.262920i | 0.361572 | − | 0.0177261i | ||||
\(221\) | 16.9622 | + | 3.60543i | 1.14100 | + | 0.242527i | ||||
\(222\) | 1.90313 | + | 1.71359i | 0.127730 | + | 0.115008i | ||||
\(223\) | 9.22097 | − | 12.6916i | 0.617482 | − | 0.849891i | −0.379685 | − | 0.925116i | \(-0.623968\pi\) |
0.997167 | + | 0.0752252i | \(0.0239676\pi\) | |||||||
\(224\) | 14.3339 | + | 3.80508i | 0.957726 | + | 0.254237i | ||||
\(225\) | 10.6773 | + | 9.74513i | 0.711818 | + | 0.649675i | ||||
\(226\) | −11.5407 | − | 19.9891i | −0.767677 | − | 1.32966i | ||||
\(227\) | 3.89862 | + | 8.75645i | 0.258761 | + | 0.581186i | 0.995476 | − | 0.0950176i | \(-0.0302907\pi\) |
−0.736715 | + | 0.676203i | \(0.763624\pi\) | |||||||
\(228\) | −0.389148 | + | 1.83080i | −0.0257719 | + | 0.121247i | ||||
\(229\) | −11.6395 | + | 12.9269i | −0.769158 | + | 0.854237i | −0.992719 | − | 0.120453i | \(-0.961565\pi\) |
0.223561 | + | 0.974690i | \(0.428232\pi\) | |||||||
\(230\) | 5.05178 | + | 1.95878i | 0.333104 | + | 0.129158i | ||||
\(231\) | 0.871125 | + | 1.69990i | 0.0573158 | + | 0.111845i | ||||
\(232\) | − | 10.8218i | − | 0.710486i | ||||||
\(233\) | −2.62301 | − | 12.3403i | −0.171839 | − | 0.808439i | −0.976638 | − | 0.214891i | \(-0.931060\pi\) |
0.804799 | − | 0.593547i | \(-0.202273\pi\) | |||||||
\(234\) | −2.30264 | − | 21.9081i | −0.150528 | − | 1.43218i | ||||
\(235\) | −2.92699 | − | 3.63957i | −0.190936 | − | 0.237420i | ||||
\(236\) | −1.12254 | + | 10.6803i | −0.0730711 | + | 0.695225i | ||||
\(237\) | −2.82152 | − | 3.88349i | −0.183277 | − | 0.252259i | ||||
\(238\) | 11.7033 | − | 14.5212i | 0.758612 | − | 0.941273i | ||||
\(239\) | 7.12692 | + | 5.17801i | 0.461002 | + | 0.334937i | 0.793924 | − | 0.608017i | \(-0.208035\pi\) |
−0.332922 | + | 0.942954i | \(0.608035\pi\) | |||||||
\(240\) | −2.61186 | + | 2.59430i | −0.168595 | + | 0.167461i | ||||
\(241\) | 0.754780 | + | 7.18125i | 0.0486196 | + | 0.462585i | 0.991562 | + | 0.129630i | \(0.0413790\pi\) |
−0.942943 | + | 0.332955i | \(0.891954\pi\) | |||||||
\(242\) | −8.12270 | + | 7.31371i | −0.522147 | + | 0.470143i | ||||
\(243\) | 7.34405 | − | 4.24009i | 0.471121 | − | 0.272002i | ||||
\(244\) | −1.39372 | + | 4.28941i | −0.0892235 | + | 0.274602i | ||||
\(245\) | 14.6057 | − | 5.62797i | 0.933123 | − | 0.359558i | ||||
\(246\) | −1.70202 | − | 5.23827i | −0.108517 | − | 0.333980i | ||||
\(247\) | 16.6365 | + | 14.9795i | 1.05855 | + | 0.953125i | ||||
\(248\) | 4.55678 | + | 10.2347i | 0.289356 | + | 0.649903i | ||||
\(249\) | 0.288239 | − | 0.499244i | 0.0182664 | − | 0.0316383i | ||||
\(250\) | 16.3926 | + | 10.8830i | 1.03676 | + | 0.688299i | ||||
\(251\) | −11.0888 | −0.699921 | −0.349960 | − | 0.936764i | \(-0.613805\pi\) | ||||
−0.349960 | + | 0.936764i | \(0.613805\pi\) | |||||||
\(252\) | −7.84271 | − | 2.98964i | −0.494044 | − | 0.188329i | ||||
\(253\) | 2.86568 | − | 0.931117i | 0.180164 | − | 0.0585388i | ||||
\(254\) | 0.244043 | − | 0.271037i | 0.0153126 | − | 0.0170064i | ||||
\(255\) | 1.04954 | + | 2.76196i | 0.0657246 | + | 0.172961i | ||||
\(256\) | 13.2871 | + | 14.7568i | 0.830444 | + | 0.922301i | ||||
\(257\) | 10.2174 | − | 5.89899i | 0.637341 | − | 0.367969i | −0.146248 | − | 0.989248i | \(-0.546720\pi\) |
0.783590 | + | 0.621279i | \(0.213387\pi\) | |||||||
\(258\) | 0.358680 | + | 0.116542i | 0.0223305 | + | 0.00725560i | ||||
\(259\) | 1.79885 | − | 11.5309i | 0.111775 | − | 0.716494i | ||||
\(260\) | −2.71463 | − | 10.2696i | −0.168354 | − | 0.636894i | ||||
\(261\) | −2.05851 | + | 19.5854i | −0.127418 | + | 1.21230i | ||||
\(262\) | 4.36339 | − | 0.458611i | 0.269571 | − | 0.0283331i | ||||
\(263\) | 23.9176 | − | 2.51384i | 1.47482 | − | 0.155010i | 0.667274 | − | 0.744813i | \(-0.267461\pi\) |
0.807547 | + | 0.589803i | \(0.200795\pi\) | |||||||
\(264\) | −0.119895 | + | 1.14072i | −0.00737900 | + | 0.0702065i | ||||
\(265\) | 9.52524 | − | 24.5660i | 0.585131 | − | 1.50908i | ||||
\(266\) | 22.4573 | − | 8.68050i | 1.37695 | − | 0.532236i | ||||
\(267\) | −2.41680 | − | 0.785266i | −0.147906 | − | 0.0480575i | ||||
\(268\) | 7.53273 | − | 4.34902i | 0.460135 | − | 0.265659i | ||||
\(269\) | 2.90549 | + | 3.22688i | 0.177151 | + | 0.196746i | 0.825181 | − | 0.564869i | \(-0.191073\pi\) |
−0.648030 | + | 0.761615i | \(0.724407\pi\) | |||||||
\(270\) | 5.95980 | − | 4.79295i | 0.362702 | − | 0.291690i | ||||
\(271\) | −11.7155 | + | 13.0114i | −0.711668 | + | 0.790387i | −0.985188 | − | 0.171479i | \(-0.945145\pi\) |
0.273520 | + | 0.961866i | \(0.411812\pi\) | |||||||
\(272\) | 19.0109 | − | 6.17702i | 1.15271 | − | 0.374537i | ||||
\(273\) | 2.93112 | − | 2.38488i | 0.177399 | − | 0.144339i | ||||
\(274\) | −11.2312 | −0.678502 | ||||||||
\(275\) | 10.8898 | − | 1.07032i | 0.656679 | − | 0.0645425i | ||||
\(276\) | 0.249191 | − | 0.431611i | 0.0149995 | − | 0.0259799i | ||||
\(277\) | −1.88238 | − | 4.22789i | −0.113101 | − | 0.254029i | 0.848122 | − | 0.529801i | \(-0.177733\pi\) |
−0.961223 | + | 0.275772i | \(0.911067\pi\) | |||||||
\(278\) | −1.28945 | − | 1.16102i | −0.0773359 | − | 0.0696336i | ||||
\(279\) | −6.30006 | − | 19.3896i | −0.377175 | − | 1.16082i | ||||
\(280\) | 9.19172 | + | 1.96385i | 0.549311 | + | 0.117362i | ||||
\(281\) | 1.29572 | − | 3.98781i | 0.0772960 | − | 0.237893i | −0.904941 | − | 0.425537i | \(-0.860085\pi\) |
0.982237 | + | 0.187644i | \(0.0600852\pi\) | |||||||
\(282\) | −1.05020 | + | 0.606332i | −0.0625384 | + | 0.0361066i | ||||
\(283\) | −1.23334 | + | 1.11050i | −0.0733144 | + | 0.0660126i | −0.704973 | − | 0.709234i | \(-0.749041\pi\) |
0.631659 | + | 0.775246i | \(0.282374\pi\) | |||||||
\(284\) | 0.567017 | + | 5.39481i | 0.0336463 | + | 0.320123i | ||||
\(285\) | −0.609396 | + | 3.76531i | −0.0360975 | + | 0.223038i | ||||
\(286\) | −13.4900 | − | 9.80106i | −0.797681 | − | 0.579549i | ||||
\(287\) | −15.7504 | + | 19.5429i | −0.929719 | + | 1.15358i | ||||
\(288\) | −9.52567 | − | 13.1110i | −0.561306 | − | 0.772571i | ||||
\(289\) | −0.0999879 | + | 0.951322i | −0.00588164 | + | 0.0559601i | ||||
\(290\) | 1.31254 | + | 26.7729i | 0.0770751 | + | 1.57216i | ||||
\(291\) | 0.0385480 | + | 0.366760i | 0.00225973 | + | 0.0214999i | ||||
\(292\) | 3.35695 | + | 15.7932i | 0.196451 | + | 0.924229i | ||||
\(293\) | 12.0157i | 0.701962i | 0.936383 | + | 0.350981i | \(0.114152\pi\) | ||||
−0.936383 | + | 0.350981i | \(0.885848\pi\) | |||||||
\(294\) | −0.863433 | − | 3.97126i | −0.0503564 | − | 0.231609i | ||||
\(295\) | −1.21911 | + | 21.8510i | −0.0709792 | + | 1.27222i | ||||
\(296\) | 4.68923 | − | 5.20792i | 0.272556 | − | 0.302704i | ||||
\(297\) | 0.884280 | − | 4.16021i | 0.0513111 | − | 0.241400i | ||||
\(298\) | −6.51862 | − | 14.6411i | −0.377614 | − | 0.848134i | ||||
\(299\) | −2.98046 | − | 5.16231i | −0.172365 | − | 0.298544i | ||||
\(300\) | 1.22009 | − | 1.33679i | 0.0704419 | − | 0.0771798i | ||||
\(301\) | −0.448679 | − | 1.65906i | −0.0258614 | − | 0.0956266i | ||||
\(302\) | −22.2355 | + | 30.6046i | −1.27951 | + | 1.76110i | ||||
\(303\) | −0.355598 | − | 0.320182i | −0.0204286 | − | 0.0183940i | ||||
\(304\) | 25.2412 | + | 5.36518i | 1.44768 | + | 0.307714i | ||||
\(305\) | −2.40879 | + | 8.86992i | −0.137927 | + | 0.507890i | ||||
\(306\) | −19.9349 | + | 4.23730i | −1.13960 | + | 0.242231i | ||||
\(307\) | 8.49687i | 0.484942i | 0.970159 | + | 0.242471i | \(0.0779579\pi\) | ||||
−0.970159 | + | 0.242471i | \(0.922042\pi\) | |||||||
\(308\) | −5.65401 | + | 2.89744i | −0.322167 | + | 0.165097i | ||||
\(309\) | −0.602207 | + | 0.437529i | −0.0342584 | + | 0.0248902i | ||||
\(310\) | −12.5147 | − | 24.7677i | −0.710787 | − | 1.40671i | ||||
\(311\) | 26.4953 | − | 11.7965i | 1.50241 | − | 0.668916i | 0.519747 | − | 0.854320i | \(-0.326026\pi\) |
0.982662 | + | 0.185404i | \(0.0593594\pi\) | |||||||
\(312\) | 2.25669 | − | 0.237187i | 0.127760 | − | 0.0134281i | ||||
\(313\) | −6.30803 | + | 14.1681i | −0.356551 | + | 0.800826i | 0.642842 | + | 0.765998i | \(0.277755\pi\) |
−0.999393 | + | 0.0348279i | \(0.988912\pi\) | |||||||
\(314\) | 0.861611 | + | 0.625997i | 0.0486235 | + | 0.0353271i | ||||
\(315\) | −16.2617 | − | 5.30262i | −0.916243 | − | 0.298769i | ||||
\(316\) | 12.9168 | − | 9.38461i | 0.726627 | − | 0.527925i | ||||
\(317\) | −3.77289 | − | 17.7500i | −0.211907 | − | 0.996942i | −0.947559 | − | 0.319582i | \(-0.896457\pi\) |
0.735652 | − | 0.677360i | \(-0.236876\pi\) | |||||||
\(318\) | −5.92454 | − | 3.42053i | −0.332232 | − | 0.191814i | ||||
\(319\) | 9.97452 | + | 11.0778i | 0.558466 | + | 0.620239i | ||||
\(320\) | 0.183130 | + | 0.184370i | 0.0102373 | + | 0.0103066i | ||||
\(321\) | 1.75812 | + | 5.41095i | 0.0981289 | + | 0.302010i | ||||
\(322\) | −6.40136 | + | 0.350403i | −0.356734 | + | 0.0195272i | ||||
\(323\) | 12.1738 | − | 16.7558i | 0.677367 | − | 0.932316i | ||||
\(324\) | 4.40677 | + | 7.63274i | 0.244820 | + | 0.424041i | ||||
\(325\) | −6.55023 | − | 20.6323i | −0.363342 | − | 1.14447i | ||||
\(326\) | −1.81620 | + | 3.14576i | −0.100590 | + | 0.174227i | ||||
\(327\) | 0.652211 | + | 0.0685502i | 0.0360674 | + | 0.00379083i | ||||
\(328\) | −14.3345 | + | 4.65757i | −0.791492 | + | 0.257171i | ||||
\(329\) | 4.92973 | + | 2.49741i | 0.271785 | + | 0.137686i | ||||
\(330\) | 0.158262 | − | 2.83666i | 0.00871206 | − | 0.156153i | ||||
\(331\) | 17.7717 | − | 3.77750i | 0.976823 | − | 0.207630i | 0.308274 | − | 0.951298i | \(-0.400249\pi\) |
0.668550 | + | 0.743667i | \(0.266915\pi\) | |||||||
\(332\) | 1.66053 | + | 0.958706i | 0.0911333 | + | 0.0526158i | ||||
\(333\) | −9.47725 | + | 8.53335i | −0.519350 | + | 0.467625i | ||||
\(334\) | −14.3314 | − | 6.38074i | −0.784178 | − | 0.349139i | ||||
\(335\) | 14.8984 | − | 9.60384i | 0.813988 | − | 0.524714i | ||||
\(336\) | 1.55153 | − | 4.07012i | 0.0846427 | − | 0.222043i | ||||
\(337\) | −5.44402 | − | 7.49305i | −0.296555 | − | 0.408172i | 0.634575 | − | 0.772861i | \(-0.281175\pi\) |
−0.931129 | + | 0.364689i | \(0.881175\pi\) | |||||||
\(338\) | −4.11153 | + | 9.23465i | −0.223638 | + | 0.502299i | ||||
\(339\) | −3.95255 | + | 1.75979i | −0.214673 | + | 0.0955785i | ||||
\(340\) | −9.18651 | + | 3.49085i | −0.498209 | + | 0.189318i | ||||
\(341\) | −14.0979 | − | 6.27681i | −0.763447 | − | 0.339908i | ||||
\(342\) | −25.0222 | − | 8.13022i | −1.35305 | − | 0.439632i | ||||
\(343\) | −13.0042 | + | 13.1868i | −0.702159 | + | 0.712020i | ||||
\(344\) | 0.318918 | − | 0.981528i | 0.0171949 | − | 0.0529205i | ||||
\(345\) | 0.464144 | − | 0.903385i | 0.0249887 | − | 0.0486366i | ||||
\(346\) | −19.7290 | − | 4.19353i | −1.06064 | − | 0.225446i | ||||
\(347\) | 1.21329 | − | 5.70810i | 0.0651330 | − | 0.306427i | −0.933507 | − | 0.358559i | \(-0.883268\pi\) |
0.998640 | + | 0.0521320i | \(0.0166017\pi\) | |||||||
\(348\) | 2.45209 | + | 0.257725i | 0.131446 | + | 0.0138155i | ||||
\(349\) | −18.7066 | −1.00134 | −0.500671 | − | 0.865638i | \(-0.666913\pi\) | ||||
−0.500671 | + | 0.865638i | \(0.666913\pi\) | |||||||
\(350\) | −22.9783 | − | 3.74369i | −1.22824 | − | 0.200109i | ||||
\(351\) | −8.41401 | −0.449107 | ||||||||
\(352\) | −12.1999 | − | 1.28226i | −0.650255 | − | 0.0683445i | ||||
\(353\) | −3.26312 | + | 15.3518i | −0.173679 | + | 0.817093i | 0.801903 | + | 0.597455i | \(0.203821\pi\) |
−0.975581 | + | 0.219639i | \(0.929512\pi\) | |||||||
\(354\) | 5.55810 | + | 1.18141i | 0.295410 | + | 0.0627913i | ||||
\(355\) | 1.69246 | + | 10.9242i | 0.0898266 | + | 0.579798i | ||||
\(356\) | 2.61186 | − | 8.03848i | 0.138428 | − | 0.426039i | ||||
\(357\) | −2.47778 | − | 2.46628i | −0.131138 | − | 0.130530i | ||||
\(358\) | −15.0932 | − | 4.90406i | −0.797698 | − | 0.259188i | ||||
\(359\) | 10.9672 | + | 4.88291i | 0.578826 | + | 0.257710i | 0.675199 | − | 0.737635i | \(-0.264058\pi\) |
−0.0963733 | + | 0.995345i | \(0.530724\pi\) | |||||||
\(360\) | −6.43681 | − | 8.00386i | −0.339250 | − | 0.421841i | ||||
\(361\) | 7.06828 | − | 3.14700i | 0.372015 | − | 0.165632i | ||||
\(362\) | 12.8338 | − | 28.8251i | 0.674529 | − | 1.51502i | ||||
\(363\) | 1.20429 | + | 1.65756i | 0.0632086 | + | 0.0869992i | ||||
\(364\) | 7.93230 | + | 9.74916i | 0.415766 | + | 0.510995i | ||||
\(365\) | 8.40884 | + | 31.8112i | 0.440139 | + | 1.66507i | ||||
\(366\) | 2.18010 | + | 0.970644i | 0.113956 | + | 0.0507364i | ||||
\(367\) | 25.0695 | − | 22.5726i | 1.30862 | − | 1.17828i | 0.337056 | − | 0.941485i | \(-0.390569\pi\) |
0.971559 | − | 0.236798i | \(-0.0760979\pi\) | |||||||
\(368\) | −5.95063 | − | 3.43560i | −0.310198 | − | 0.179093i | ||||
\(369\) | 26.8287 | − | 5.70261i | 1.39665 | − | 0.296866i | ||||
\(370\) | −10.9694 | + | 13.4530i | −0.570272 | + | 0.699389i | ||||
\(371\) | 1.70396 | + | 31.1288i | 0.0884649 | + | 1.61613i | ||||
\(372\) | −2.42757 | + | 0.788767i | −0.125864 | + | 0.0408956i | ||||
\(373\) | −36.2627 | − | 3.81137i | −1.87761 | − | 0.197345i | −0.904311 | − | 0.426874i | \(-0.859615\pi\) |
−0.973302 | + | 0.229529i | \(0.926281\pi\) | |||||||
\(374\) | −7.71337 | + | 13.3599i | −0.398849 | + | 0.690826i | ||||
\(375\) | 2.35002 | − | 2.84271i | 0.121355 | − | 0.146797i | ||||
\(376\) | 1.65923 | + | 2.87387i | 0.0855681 | + | 0.148208i | ||||
\(377\) | 17.3337 | − | 23.8578i | 0.892732 | − | 1.22874i | ||||
\(378\) | −4.08951 | + | 8.07244i | −0.210341 | + | 0.415201i | ||||
\(379\) | −7.66058 | − | 23.5768i | −0.393497 | − | 1.21106i | −0.930126 | − | 0.367242i | \(-0.880302\pi\) |
0.536628 | − | 0.843819i | \(-0.319698\pi\) | |||||||
\(380\) | −12.5237 | − | 2.02690i | −0.642454 | − | 0.103978i | ||||
\(381\) | −0.0457457 | − | 0.0508058i | −0.00234362 | − | 0.00260286i | ||||
\(382\) | −36.2169 | − | 20.9098i | −1.85302 | − | 1.06984i | ||||
\(383\) | 7.52488 | + | 35.4018i | 0.384503 | + | 1.80895i | 0.564679 | + | 0.825311i | \(0.309000\pi\) |
−0.180175 | + | 0.983635i | \(0.557666\pi\) | |||||||
\(384\) | 3.04660 | − | 2.21348i | 0.155471 | − | 0.112956i | ||||
\(385\) | −11.2193 | + | 6.46176i | −0.571787 | + | 0.329322i | ||||
\(386\) | 25.3118 | + | 18.3901i | 1.28834 | + | 0.936033i | ||||
\(387\) | −0.763885 | + | 1.71571i | −0.0388304 | + | 0.0872146i | ||||
\(388\) | −1.21987 | + | 0.128214i | −0.0619298 | + | 0.00650908i | ||||
\(389\) | 17.7729 | − | 7.91299i | 0.901120 | − | 0.401205i | 0.0967333 | − | 0.995310i | \(-0.469161\pi\) |
0.804387 | + | 0.594106i | \(0.202494\pi\) | |||||||
\(390\) | −5.55423 | + | 0.860503i | −0.281249 | + | 0.0435733i | ||||
\(391\) | −4.46160 | + | 3.24154i | −0.225633 | + | 0.163932i | ||||
\(392\) | −10.8674 | + | 2.36278i | −0.548885 | + | 0.119339i | ||||
\(393\) | − | 0.822421i | − | 0.0414856i | ||||||
\(394\) | −19.2079 | + | 4.08277i | −0.967681 | + | 0.205687i | ||||
\(395\) | 25.3549 | − | 20.3907i | 1.27574 | − | 1.02597i | ||||
\(396\) | 6.79080 | + | 1.44343i | 0.341250 | + | 0.0725350i | ||||
\(397\) | −12.9543 | − | 11.6641i | −0.650158 | − | 0.585405i | 0.276636 | − | 0.960975i | \(-0.410780\pi\) |
−0.926794 | + | 0.375570i | \(0.877447\pi\) | |||||||
\(398\) | 13.0716 | − | 17.9915i | 0.655219 | − | 0.901831i | ||||
\(399\) | −1.17822 | − | 4.35663i | −0.0589846 | − | 0.218105i | ||||
\(400\) | −18.4304 | − | 16.8214i | −0.921519 | − | 0.841069i | ||||
\(401\) | 12.7917 | + | 22.1559i | 0.638788 | + | 1.10641i | 0.985699 | + | 0.168515i | \(0.0538972\pi\) |
−0.346911 | + | 0.937898i | \(0.612769\pi\) | |||||||
\(402\) | −1.87193 | − | 4.20442i | −0.0933634 | − | 0.209698i | ||||
\(403\) | −6.34741 | + | 29.8622i | −0.316187 | + | 1.48754i | ||||
\(404\) | 1.06495 | − | 1.18275i | 0.0529834 | − | 0.0588440i | ||||
\(405\) | 9.73136 | + | 15.0962i | 0.483555 | + | 0.750138i | ||||
\(406\) | −14.4645 | − | 28.2258i | −0.717861 | − | 1.40082i | ||||
\(407\) | 9.65322i | 0.478492i | ||||||||
\(408\) | −0.436471 | − | 2.05344i | −0.0216085 | − | 0.101660i | ||||
\(409\) | 1.40789 | + | 13.3952i | 0.0696158 | + | 0.662350i | 0.972570 | + | 0.232612i | \(0.0747273\pi\) |
−0.902954 | + | 0.429738i | \(0.858606\pi\) | |||||||
\(410\) | 34.8984 | − | 13.2613i | 1.72351 | − | 0.654930i | ||||
\(411\) | −0.220062 | + | 2.09375i | −0.0108549 | + | 0.103277i | ||||
\(412\) | −1.45526 | − | 2.00299i | −0.0716955 | − | 0.0986803i | ||||
\(413\) | −9.33599 | − | 24.1531i | −0.459394 | − | 1.18850i | ||||
\(414\) | 5.66766 | + | 4.11780i | 0.278550 | + | 0.202379i | ||||
\(415\) | 3.47557 | + | 1.78569i | 0.170609 | + | 0.0876560i | ||||
\(416\) | 2.53669 | + | 24.1350i | 0.124371 | + | 1.18331i | ||||
\(417\) | −0.241706 | + | 0.217633i | −0.0118364 | + | 0.0106575i | ||||
\(418\) | −17.2470 | + | 9.95757i | −0.843579 | + | 0.487040i | ||||
\(419\) | −1.15413 | + | 3.55205i | −0.0563830 | + | 0.173529i | −0.975282 | − | 0.220964i | \(-0.929080\pi\) |
0.918899 | + | 0.394493i | \(0.129080\pi\) | |||||||
\(420\) | −0.663888 | + | 2.03596i | −0.0323944 | + | 0.0993448i | ||||
\(421\) | −9.67093 | − | 29.7641i | −0.471332 | − | 1.45061i | −0.850841 | − | 0.525424i | \(-0.823907\pi\) |
0.379508 | − | 0.925188i | \(-0.376093\pi\) | |||||||
\(422\) | −5.21587 | − | 4.69639i | −0.253905 | − | 0.228617i | ||||
\(423\) | −2.45622 | − | 5.51676i | −0.119426 | − | 0.268234i | ||||
\(424\) | −9.36029 | + | 16.2125i | −0.454576 | + | 0.787348i | ||||
\(425\) | −18.3502 | + | 8.02212i | −0.890118 | + | 0.389130i | ||||
\(426\) | 2.87023 | 0.139063 | ||||||||
\(427\) | −1.72621 | − | 10.7373i | −0.0835372 | − | 0.519613i | ||||
\(428\) | −17.9973 | + | 5.84767i | −0.869931 | + | 0.282658i | ||||
\(429\) | −2.09146 | + | 2.32280i | −0.100977 | + | 0.112146i | ||||
\(430\) | −0.669950 | + | 2.46696i | −0.0323079 | + | 0.118967i | ||||
\(431\) | 2.36741 | + | 2.62928i | 0.114034 | + | 0.126648i | 0.797459 | − | 0.603373i | \(-0.206177\pi\) |
−0.683425 | + | 0.730021i | \(0.739510\pi\) | |||||||
\(432\) | −8.39948 | + | 4.84944i | −0.404120 | + | 0.233319i | ||||
\(433\) | 22.2087 | + | 7.21605i | 1.06728 | + | 0.346781i | 0.789429 | − | 0.613842i | \(-0.210377\pi\) |
0.277854 | + | 0.960623i | \(0.410377\pi\) | |||||||
\(434\) | 25.5649 | + | 20.6038i | 1.22715 | + | 0.989016i | ||||
\(435\) | 5.01679 | + | 0.279896i | 0.240537 | + | 0.0134200i | ||||
\(436\) | −0.228004 | + | 2.16931i | −0.0109194 | + | 0.103891i | ||||
\(437\) | −7.08038 | + | 0.744178i | −0.338701 | + | 0.0355989i | ||||
\(438\) | 8.49641 | − | 0.893009i | 0.405974 | − | 0.0426696i | ||||
\(439\) | 2.45822 | − | 23.3884i | 0.117324 | − | 1.11627i | −0.764478 | − | 0.644649i | \(-0.777003\pi\) |
0.881803 | − | 0.471618i | \(-0.156330\pi\) | |||||||
\(440\) | −7.76252 | − | 0.433085i | −0.370064 | − | 0.0206465i | ||||
\(441\) | 20.1173 | − | 2.20901i | 0.957966 | − | 0.105191i | ||||
\(442\) | 29.0250 | + | 9.43080i | 1.38058 | + | 0.448577i | ||||
\(443\) | 1.81621 | − | 1.04859i | 0.0862907 | − | 0.0498199i | −0.456234 | − | 0.889860i | \(-0.650802\pi\) |
0.542524 | + | 0.840040i | \(0.317469\pi\) | |||||||
\(444\) | 1.06837 | + | 1.18655i | 0.0507028 | + | 0.0563112i | ||||
\(445\) | 4.51414 | − | 16.6225i | 0.213991 | − | 0.787981i | ||||
\(446\) | 18.4738 | − | 20.5173i | 0.874761 | − | 0.971521i | ||||
\(447\) | −2.85715 | + | 0.928344i | −0.135139 | + | 0.0439092i | ||||
\(448\) | −0.287307 | − | 0.109521i | −0.0135740 | − | 0.00517440i | ||||
\(449\) | 5.69492 | 0.268760 | 0.134380 | − | 0.990930i | \(-0.457096\pi\) | ||||
0.134380 | + | 0.990930i | \(0.457096\pi\) | |||||||
\(450\) | 16.8953 | + | 19.0207i | 0.796452 | + | 0.896644i | ||||
\(451\) | 10.3807 | − | 17.9800i | 0.488810 | − | 0.846644i | ||||
\(452\) | −5.85320 | − | 13.1465i | −0.275311 | − | 0.618359i | ||||
\(453\) | 5.26971 | + | 4.74487i | 0.247592 | + | 0.222933i | ||||
\(454\) | 5.21277 | + | 16.0432i | 0.244647 | + | 0.752947i | ||||
\(455\) | 17.1186 | + | 19.0523i | 0.802531 | + | 0.893184i | ||||
\(456\) | 0.837468 | − | 2.57746i | 0.0392180 | − | 0.120701i | ||||
\(457\) | 25.1279 | − | 14.5076i | 1.17543 | − | 0.678638i | 0.220481 | − | 0.975391i | \(-0.429237\pi\) |
0.954954 | + | 0.296754i | \(0.0959041\pi\) | |||||||
\(458\) | −22.7501 | + | 20.4843i | −1.06304 | + | 0.957169i | ||||
\(459\) | 0.813686 | + | 7.74171i | 0.0379796 | + | 0.361352i | ||||
\(460\) | 3.00473 | + | 1.54378i | 0.140096 | + | 0.0719792i | ||||
\(461\) | −15.5402 | − | 11.2906i | −0.723780 | − | 0.525857i | 0.163809 | − | 0.986492i | \(-0.447622\pi\) |
−0.887590 | + | 0.460635i | \(0.847622\pi\) | |||||||
\(462\) | 1.21198 | + | 3.13552i | 0.0563865 | + | 0.145877i | ||||
\(463\) | 22.3422 | + | 30.7514i | 1.03833 | + | 1.42914i | 0.898505 | + | 0.438963i | \(0.144654\pi\) |
0.139825 | + | 0.990176i | \(0.455346\pi\) | |||||||
\(464\) | 3.55325 | − | 33.8069i | 0.164956 | − | 1.56945i | ||||
\(465\) | −4.86247 | + | 1.84773i | −0.225492 | + | 0.0856863i | ||||
\(466\) | −2.32083 | − | 22.0812i | −0.107510 | − | 1.02289i | ||||
\(467\) | 3.99765 | + | 18.8075i | 0.184989 | + | 0.870305i | 0.968517 | + | 0.248948i | \(0.0800849\pi\) |
−0.783528 | + | 0.621357i | \(0.786582\pi\) | |||||||
\(468\) | − | 13.7344i | − | 0.634871i | ||||||
\(469\) | −11.3819 | + | 17.6161i | −0.525568 | + | 0.813437i | ||||
\(470\) | −4.45346 | − | 6.90865i | −0.205423 | − | 0.318672i | ||||
\(471\) | 0.133582 | − | 0.148358i | 0.00615515 | − | 0.00683598i | ||||
\(472\) | 3.23293 | − | 15.2097i | 0.148808 | − | 0.700085i | ||||
\(473\) | 0.578217 | + | 1.29870i | 0.0265865 | + | 0.0597142i | ||||
\(474\) | −4.22398 | − | 7.31615i | −0.194014 | − | 0.336042i | ||||
\(475\) | −25.6936 | − | 2.87593i | −1.17890 | − | 0.131957i | ||||
\(476\) | 8.20307 | − | 8.24129i | 0.375987 | − | 0.377739i | ||||
\(477\) | 20.0242 | − | 27.5610i | 0.916847 | − | 1.26193i | ||||
\(478\) | 11.5214 | + | 10.3739i | 0.526977 | + | 0.474492i | ||||
\(479\) | −32.2372 | − | 6.85222i | −1.47295 | − | 0.313086i | −0.599651 | − | 0.800262i | \(-0.704694\pi\) |
−0.873304 | + | 0.487176i | \(0.838027\pi\) | |||||||
\(480\) | −3.22215 | + | 2.59129i | −0.147070 | + | 0.118276i | ||||
\(481\) | 18.6796 | − | 3.97048i | 0.851718 | − | 0.181038i | ||||
\(482\) | 12.7079i | 0.578829i | ||||||||
\(483\) | −0.0601039 | + | 1.20022i | −0.00273482 | + | 0.0546120i | ||||
\(484\) | −5.51318 | + | 4.00556i | −0.250599 | + | 0.182071i | ||||
\(485\) | −2.47019 | + | 0.382700i | −0.112165 | + | 0.0173775i | ||||
\(486\) | 13.6340 | − | 6.07025i | 0.618451 | − | 0.275352i | ||||
\(487\) | −19.3280 | + | 2.03146i | −0.875836 | + | 0.0920541i | −0.531767 | − | 0.846890i | \(-0.678472\pi\) |
−0.344069 | + | 0.938944i | \(0.611805\pi\) | |||||||
\(488\) | 2.65617 | − | 5.96585i | 0.120239 | − | 0.270061i | ||||
\(489\) | 0.550854 | + | 0.400219i | 0.0249105 | + | 0.0180985i | ||||
\(490\) | 26.5991 | − | 7.16354i | 1.20162 | − | 0.323616i | ||||
\(491\) | −9.21645 | + | 6.69614i | −0.415932 | + | 0.302193i | −0.775999 | − | 0.630734i | \(-0.782754\pi\) |
0.360067 | + | 0.932927i | \(0.382754\pi\) | |||||||
\(492\) | −0.713966 | − | 3.35895i | −0.0321881 | − | 0.151433i | ||||
\(493\) | −23.6278 | − | 13.6415i | −1.06414 | − | 0.614383i | ||||
\(494\) | 26.3625 | + | 29.2785i | 1.18610 | + | 1.31730i | ||||
\(495\) | 13.9663 | + | 2.26038i | 0.627738 | + | 0.101596i | ||||
\(496\) | 10.8747 | + | 33.4690i | 0.488290 | + | 1.50280i | ||||
\(497\) | −7.14932 | − | 10.9532i | −0.320691 | − | 0.491316i | ||||
\(498\) | 0.596333 | − | 0.820782i | 0.0267223 | − | 0.0367801i | ||||
\(499\) | 9.61623 | + | 16.6558i | 0.430482 | + | 0.745616i | 0.996915 | − | 0.0784916i | \(-0.0250104\pi\) |
−0.566433 | + | 0.824108i | \(0.691677\pi\) | |||||||
\(500\) | 9.45510 | + | 7.81637i | 0.422845 | + | 0.349559i | ||||
\(501\) | −1.47032 | + | 2.54667i | −0.0656890 | + | 0.113777i | ||||
\(502\) | −19.4083 | − | 2.03990i | −0.866236 | − | 0.0910451i | ||||
\(503\) | 4.88752 | − | 1.58805i | 0.217924 | − | 0.0708077i | −0.198020 | − | 0.980198i | \(-0.563451\pi\) |
0.415944 | + | 0.909390i | \(0.363451\pi\) | |||||||
\(504\) | 10.8411 | + | 5.49210i | 0.482900 | + | 0.244638i | ||||
\(505\) | 2.04962 | − | 2.51369i | 0.0912071 | − | 0.111858i | ||||
\(506\) | 5.18698 | − | 1.10253i | 0.230589 | − | 0.0490132i | ||||
\(507\) | 1.64099 | + | 0.947424i | 0.0728788 | + | 0.0420766i | ||||
\(508\) | 0.168984 | − | 0.152154i | 0.00749746 | − | 0.00675075i | ||||
\(509\) | −3.01646 | − | 1.34302i | −0.133702 | − | 0.0595281i | 0.338795 | − | 0.940860i | \(-0.389981\pi\) |
−0.472497 | + | 0.881332i | \(0.656647\pi\) | |||||||
\(510\) | 1.32888 | + | 5.02722i | 0.0588436 | + | 0.222609i | ||||
\(511\) | −24.5711 | − | 30.1990i | −1.08696 | − | 1.33593i | ||||
\(512\) | 7.12179 | + | 9.80231i | 0.314742 | + | 0.433205i | ||||
\(513\) | −4.08738 | + | 9.18041i | −0.180462 | + | 0.405325i | ||||
\(514\) | 18.9682 | − | 8.44519i | 0.836651 | − | 0.372501i | ||||
\(515\) | −3.16197 | − | 3.93175i | −0.139333 | − | 0.173254i | ||||
\(516\) | 0.214807 | + | 0.0956383i | 0.00945635 | + | 0.00421024i | ||||
\(517\) | −4.34734 | − | 1.41254i | −0.191196 | − | 0.0621233i | ||||
\(518\) | 5.26967 | − | 19.8511i | 0.231536 | − | 0.872208i | ||||
\(519\) | −1.16833 | + | 3.59576i | −0.0512842 | + | 0.157837i | ||||
\(520\) | 2.35477 | + | 15.1992i | 0.103263 | + | 0.666527i | ||||
\(521\) | −21.9245 | − | 4.66020i | −0.960530 | − | 0.204167i | −0.299140 | − | 0.954209i | \(-0.596700\pi\) |
−0.661390 | + | 0.750042i | \(0.730033\pi\) | |||||||
\(522\) | −7.20584 | + | 33.9008i | −0.315391 | + | 1.48380i | ||||
\(523\) | 9.22262 | + | 0.969337i | 0.403277 | + | 0.0423861i | 0.303996 | − | 0.952673i | \(-0.401679\pi\) |
0.0992811 | + | 0.995059i | \(0.468346\pi\) | |||||||
\(524\) | 2.73544 | 0.119498 | ||||||||
\(525\) | −1.14814 | + | 4.21032i | −0.0501090 | + | 0.183754i | ||||
\(526\) | 42.3244 | 1.84543 | ||||||||
\(527\) | 28.0900 | + | 2.95238i | 1.22362 | + | 0.128608i | ||||
\(528\) | −0.749093 | + | 3.52421i | −0.0326001 | + | 0.153371i | ||||
\(529\) | −20.6431 | − | 4.38783i | −0.897527 | − | 0.190775i | ||||
\(530\) | 21.1908 | − | 41.2447i | 0.920470 | − | 1.79155i | ||||
\(531\) | −8.74416 | + | 26.9117i | −0.379464 | + | 1.16787i | ||||
\(532\) | 14.4905 | − | 3.91885i | 0.628244 | − | 0.169904i | ||||
\(533\) | −39.0622 | − | 12.6921i | −1.69197 | − | 0.549755i | ||||
\(534\) | −4.08557 | − | 1.81901i | −0.176800 | − | 0.0787164i | ||||
\(535\) | −36.0489 | + | 13.6985i | −1.55853 | + | 0.592237i | ||||
\(536\) | −11.5054 | + | 5.12254i | −0.496958 | + | 0.221260i | ||||
\(537\) | −1.20996 | + | 2.71761i | −0.0522136 | + | 0.117274i | ||||
\(538\) | 4.49175 | + | 6.18237i | 0.193653 | + | 0.266541i | ||||
\(539\) | 8.94667 | − | 12.4352i | 0.385360 | − | 0.535622i | ||||
\(540\) | 4.00778 | − | 2.58350i | 0.172467 | − | 0.111176i | ||||
\(541\) | −17.0560 | − | 7.59382i | −0.733295 | − | 0.326484i | 0.00589373 | − | 0.999983i | \(-0.498124\pi\) |
−0.739188 | + | 0.673499i | \(0.764791\pi\) | |||||||
\(542\) | −22.8988 | + | 20.6182i | −0.983587 | + | 0.885626i | ||||
\(543\) | −5.12219 | − | 2.95730i | −0.219814 | − | 0.126910i | ||||
\(544\) | 21.9612 | − | 4.66800i | 0.941579 | − | 0.200139i | ||||
\(545\) | −0.247618 | + | 4.43825i | −0.0106068 | + | 0.190114i | ||||
\(546\) | 5.56894 | − | 3.63494i | 0.238329 | − | 0.155561i | ||||
\(547\) | −17.5058 | + | 5.68797i | −0.748493 | + | 0.243200i | −0.658333 | − | 0.752727i | \(-0.728738\pi\) |
−0.0901603 | + | 0.995927i | \(0.528738\pi\) | |||||||
\(548\) | −6.96399 | − | 0.731945i | −0.297487 | − | 0.0312672i | ||||
\(549\) | −5.94196 | + | 10.2918i | −0.253597 | + | 0.439243i | ||||
\(550\) | 19.2569 | + | 0.129952i | 0.821115 | + | 0.00554119i | ||||
\(551\) | −17.6105 | − | 30.5023i | −0.750233 | − | 1.29944i | ||||
\(552\) | −0.424161 | + | 0.583808i | −0.0180535 | + | 0.0248485i | ||||
\(553\) | −17.3981 | + | 34.3427i | −0.739841 | + | 1.46040i | ||||
\(554\) | −2.51689 | − | 7.74619i | −0.106932 | − | 0.329104i | ||||
\(555\) | 2.29301 | + | 2.30854i | 0.0973330 | + | 0.0979921i | ||||
\(556\) | −0.723866 | − | 0.803935i | −0.0306988 | − | 0.0340944i | ||||
\(557\) | −34.9278 | − | 20.1656i | −1.47994 | − | 0.854444i | −0.480198 | − | 0.877160i | \(-0.659435\pi\) |
−0.999742 | + | 0.0227165i | \(0.992768\pi\) | |||||||
\(558\) | −7.45984 | − | 35.0958i | −0.315800 | − | 1.48572i | ||||
\(559\) | 2.27524 | − | 1.65306i | 0.0962325 | − | 0.0699170i | ||||
\(560\) | 28.0698 | + | 9.15303i | 1.18617 | + | 0.386786i | ||||
\(561\) | 2.33946 | + | 1.69972i | 0.0987721 | + | 0.0717621i | ||||
\(562\) | 3.00144 | − | 6.74134i | 0.126608 | − | 0.284366i | ||||
\(563\) | 38.6160 | − | 4.05870i | 1.62747 | − | 0.171054i | 0.753641 | − | 0.657287i | \(-0.228296\pi\) |
0.873829 | + | 0.486232i | \(0.161629\pi\) | |||||||
\(564\) | −0.690698 | + | 0.307518i | −0.0290836 | + | 0.0129489i | ||||
\(565\) | −13.2257 | − | 26.1748i | −0.556409 | − | 1.10118i | ||||
\(566\) | −2.36295 | + | 1.71678i | −0.0993222 | + | 0.0721618i | ||||
\(567\) | −17.8500 | − | 11.5330i | −0.749630 | − | 0.484342i | ||||
\(568\) | − | 7.85438i | − | 0.329563i | ||||||
\(569\) | −28.9160 | + | 6.14628i | −1.21222 | + | 0.257665i | −0.769295 | − | 0.638893i | \(-0.779392\pi\) |
−0.442925 | + | 0.896559i | \(0.646059\pi\) | |||||||
\(570\) | −1.75927 | + | 6.47816i | −0.0736876 | + | 0.271340i | ||||
\(571\) | 5.25809 | + | 1.11764i | 0.220044 | + | 0.0467718i | 0.316614 | − | 0.948554i | \(-0.397454\pi\) |
−0.0965702 | + | 0.995326i | \(0.530787\pi\) | |||||||
\(572\) | −7.72583 | − | 6.95637i | −0.323033 | − | 0.290861i | ||||
\(573\) | −4.60769 | + | 6.34194i | −0.192489 | + | 0.264938i | ||||
\(574\) | −31.1624 | + | 31.3076i | −1.30070 | + | 1.30676i | ||||
\(575\) | 6.27001 | + | 2.84244i | 0.261477 | + | 0.118538i | ||||
\(576\) | 0.167998 | + | 0.290981i | 0.00699991 | + | 0.0121242i | ||||
\(577\) | 13.7357 | + | 30.8510i | 0.571827 | + | 1.28434i | 0.935668 | + | 0.352882i | \(0.114798\pi\) |
−0.363841 | + | 0.931461i | \(0.618535\pi\) | |||||||
\(578\) | −0.350010 | + | 1.64667i | −0.0145585 | + | 0.0684923i | ||||
\(579\) | 3.92429 | − | 4.35836i | 0.163088 | − | 0.181127i | ||||
\(580\) | −0.930957 | + | 16.6863i | −0.0386559 | + | 0.692860i | ||||
\(581\) | −4.61759 | − | 0.231236i | −0.191570 | − | 0.00959330i | ||||
\(582\) | 0.649016i | 0.0269026i | ||||||||
\(583\) | −5.36142 | − | 25.2235i | −0.222047 | − | 1.04465i | ||||
\(584\) | −2.44372 | − | 23.2504i | −0.101122 | − | 0.962110i | ||||
\(585\) | −1.37052 | − | 27.9555i | −0.0566639 | − | 1.15582i | ||||
\(586\) | −2.21040 | + | 21.0305i | −0.0913106 | + | 0.868762i | ||||
\(587\) | 16.5823 | + | 22.8235i | 0.684424 | + | 0.942029i | 0.999976 | − | 0.00687957i | \(-0.00218985\pi\) |
−0.315553 | + | 0.948908i | \(0.602190\pi\) | |||||||
\(588\) | −0.276568 | − | 2.51868i | −0.0114055 | − | 0.103869i | ||||
\(589\) | 29.4988 | + | 21.4321i | 1.21548 | + | 0.883095i | ||||
\(590\) | −6.15346 | + | 38.0207i | −0.253334 | + | 1.56529i | ||||
\(591\) | 0.384764 | + | 3.66079i | 0.0158271 | + | 0.150585i | ||||
\(592\) | 16.3590 | − | 14.7297i | 0.672350 | − | 0.605386i | ||||
\(593\) | 22.3779 | − | 12.9199i | 0.918949 | − | 0.530556i | 0.0356495 | − | 0.999364i | \(-0.488650\pi\) |
0.883300 | + | 0.468809i | \(0.155317\pi\) | |||||||
\(594\) | 2.31303 | − | 7.11878i | 0.0949048 | − | 0.292087i | ||||
\(595\) | 15.8745 | − | 17.5932i | 0.650790 | − | 0.721252i | ||||
\(596\) | −3.08775 | − | 9.50312i | −0.126479 | − | 0.389263i | ||||
\(597\) | −3.09790 | − | 2.78936i | −0.126788 | − | 0.114161i | ||||
\(598\) | −4.26693 | − | 9.58368i | −0.174488 | − | 0.391906i | ||||
\(599\) | −3.74696 | + | 6.48992i | −0.153097 | + | 0.265171i | −0.932364 | − | 0.361520i | \(-0.882258\pi\) |
0.779268 | + | 0.626691i | \(0.215591\pi\) | |||||||
\(600\) | −1.95926 | + | 1.74033i | −0.0799865 | + | 0.0710487i | ||||
\(601\) | 26.3369 | 1.07430 | 0.537152 | − | 0.843485i | \(-0.319500\pi\) | ||||
0.537152 | + | 0.843485i | \(0.319500\pi\) | |||||||
\(602\) | −0.480105 | − | 2.98632i | −0.0195676 | − | 0.121713i | ||||
\(603\) | 21.7970 | − | 7.08227i | 0.887641 | − | 0.288412i | ||||
\(604\) | −15.7818 | + | 17.5275i | −0.642153 | + | 0.713184i | ||||
\(605\) | −10.8220 | + | 8.70322i | −0.439978 | + | 0.353836i | ||||
\(606\) | −0.563489 | − | 0.625818i | −0.0228902 | − | 0.0254221i | ||||
\(607\) | 32.4929 | − | 18.7598i | 1.31885 | − | 0.761436i | 0.335302 | − | 0.942111i | \(-0.391161\pi\) |
0.983543 | + | 0.180675i | \(0.0578281\pi\) | |||||||
\(608\) | 27.5656 | + | 8.95661i | 1.11793 | + | 0.363238i | ||||
\(609\) | −5.54534 | + | 2.14346i | −0.224708 | + | 0.0868573i | ||||
\(610\) | −5.84772 | + | 15.0815i | −0.236767 | + | 0.610634i | ||||
\(611\) | −0.945244 | + | 8.99340i | −0.0382405 | + | 0.363834i | ||||
\(612\) | −12.6370 | + | 1.32820i | −0.510819 | + | 0.0536892i | ||||
\(613\) | −5.27790 | + | 0.554729i | −0.213172 | + | 0.0224053i | −0.210513 | − | 0.977591i | \(-0.567513\pi\) |
−0.00265967 | + | 0.999996i | \(0.500847\pi\) | |||||||
\(614\) | −1.56308 | + | 14.8717i | −0.0630808 | + | 0.600174i | ||||
\(615\) | −1.78842 | − | 6.76569i | −0.0721159 | − | 0.272819i | ||||
\(616\) | 8.58035 | − | 3.31659i | 0.345712 | − | 0.133629i | ||||
\(617\) | 2.32326 | + | 0.754872i | 0.0935309 | + | 0.0303900i | 0.355409 | − | 0.934711i | \(-0.384342\pi\) |
−0.261878 | + | 0.965101i | \(0.584342\pi\) | |||||||
\(618\) | −1.13451 | + | 0.655008i | −0.0456365 | + | 0.0263483i | ||||
\(619\) | 0.0395126 | + | 0.0438832i | 0.00158815 | + | 0.00176381i | 0.743938 | − | 0.668248i | \(-0.232956\pi\) |
−0.742350 | + | 0.670012i | \(0.766289\pi\) | |||||||
\(620\) | −6.14570 | − | 16.1730i | −0.246817 | − | 0.649523i | ||||
\(621\) | 1.79048 | − | 1.98853i | 0.0718494 | − | 0.0797969i | ||||
\(622\) | 48.5437 | − | 15.7728i | 1.94642 | − | 0.632432i | ||||
\(623\) | 3.23496 | + | 20.1219i | 0.129606 | + | 0.806169i | ||||
\(624\) | 7.12770 | 0.285336 | ||||||||
\(625\) | 20.0253 | + | 14.9663i | 0.801010 | + | 0.598650i | ||||
\(626\) | −13.6470 | + | 23.6374i | −0.545445 | + | 0.944739i | ||||
\(627\) | 1.51838 | + | 3.41034i | 0.0606383 | + | 0.136196i | ||||
\(628\) | 0.493452 | + | 0.444306i | 0.0196909 | + | 0.0177297i | ||||
\(629\) | −5.45966 | − | 16.8031i | −0.217691 | − | 0.669984i | ||||
\(630\) | −27.4867 | − | 12.2725i | −1.09510 | − | 0.488947i | ||||
\(631\) | −3.96308 | + | 12.1971i | −0.157768 | + | 0.485559i | −0.998431 | − | 0.0559994i | \(-0.982166\pi\) |
0.840663 | + | 0.541558i | \(0.182166\pi\) | |||||||
\(632\) | −20.0207 | + | 11.5589i | −0.796379 | + | 0.459790i | ||||
\(633\) | −0.977712 | + | 0.880336i | −0.0388606 | + | 0.0349902i | ||||
\(634\) | −3.33824 | − | 31.7612i | −0.132579 | − | 1.26140i | ||||
\(635\) | 0.328774 | − | 0.326563i | 0.0130470 | − | 0.0129593i | ||||
\(636\) | −3.45063 | − | 2.50703i | −0.136827 | − | 0.0994103i | ||||
\(637\) | −27.7428 | − | 12.1977i | −1.09921 | − | 0.483290i | ||||
\(638\) | 15.4201 | + | 21.2240i | 0.610488 | + | 0.840265i | ||||
\(639\) | −1.49405 | + | 14.2149i | −0.0591036 | + | 0.562334i | ||||
\(640\) | 15.9965 | + | 19.8909i | 0.632319 | + | 0.786258i | ||||
\(641\) | −4.64456 | − | 44.1900i | −0.183449 | − | 1.74540i | −0.568660 | − | 0.822572i | \(-0.692538\pi\) |
0.385211 | − | 0.922828i | \(-0.374129\pi\) | |||||||
\(642\) | 2.08178 | + | 9.79399i | 0.0821612 | + | 0.386538i | ||||
\(643\) | 1.09578i | 0.0432134i | 0.999767 | + | 0.0216067i | \(0.00687816\pi\) | ||||
−0.999767 | + | 0.0216067i | \(0.993122\pi\) | |||||||
\(644\) | −3.99204 | − | 0.199911i | −0.157309 | − | 0.00787759i | ||||
\(645\) | 0.446770 | + | 0.173231i | 0.0175916 | + | 0.00682096i | ||||
\(646\) | 24.3897 | − | 27.0875i | 0.959598 | − | 1.06574i | ||||
\(647\) | 0.188110 | − | 0.884989i | 0.00739537 | − | 0.0347925i | −0.974295 | − | 0.225275i | \(-0.927672\pi\) |
0.981691 | + | 0.190483i | \(0.0610053\pi\) | |||||||
\(648\) | −5.19055 | − | 11.6582i | −0.203904 | − | 0.457976i | ||||
\(649\) | 10.7095 | + | 18.5494i | 0.420384 | + | 0.728127i | ||||
\(650\) | −7.66910 | − | 37.3168i | −0.300807 | − | 1.46369i | ||||
\(651\) | 4.34193 | − | 4.36216i | 0.170174 | − | 0.170967i | ||||
\(652\) | −1.33116 | + | 1.83219i | −0.0521323 | + | 0.0717540i | ||||
\(653\) | −4.98739 | − | 4.49067i | −0.195172 | − | 0.175734i | 0.565751 | − | 0.824576i | \(-0.308587\pi\) |
−0.760922 | + | 0.648843i | \(0.775253\pi\) | |||||||
\(654\) | 1.12893 | + | 0.239961i | 0.0441446 | + | 0.00938322i | ||||
\(655\) | 5.56783 | − | 0.272962i | 0.217553 | − | 0.0106655i | ||||
\(656\) | −46.3098 | + | 9.84346i | −1.80810 | + | 0.384323i | ||||
\(657\) | 42.5436i | 1.65979i | ||||||||
\(658\) | 8.16888 | + | 5.27798i | 0.318456 | + | 0.205757i | ||||
\(659\) | 7.82951 | − | 5.68847i | 0.304994 | − | 0.221591i | −0.424751 | − | 0.905310i | \(-0.639638\pi\) |
0.729746 | + | 0.683719i | \(0.239638\pi\) | |||||||
\(660\) | 0.282999 | − | 1.74858i | 0.0110157 | − | 0.0680633i | ||||
\(661\) | 7.64351 | − | 3.40311i | 0.297298 | − | 0.132366i | −0.252667 | − | 0.967553i | \(-0.581308\pi\) |
0.549965 | + | 0.835188i | \(0.314641\pi\) | |||||||
\(662\) | 31.8001 | − | 3.34232i | 1.23594 | − | 0.129903i | ||||
\(663\) | 2.32682 | − | 5.22613i | 0.0903663 | − | 0.202966i | ||||
\(664\) | −2.24607 | − | 1.63187i | −0.0871644 | − | 0.0633287i | ||||
\(665\) | 29.1036 | − | 9.42255i | 1.12859 | − | 0.365391i | ||||
\(666\) | −18.1574 | + | 13.1921i | −0.703586 | + | 0.511185i | ||||
\(667\) | 1.94988 | + | 9.17345i | 0.0754995 | + | 0.355197i | ||||
\(668\) | −8.47043 | − | 4.89041i | −0.327731 | − | 0.189216i | ||||
\(669\) | −3.46291 | − | 3.84595i | −0.133884 | − | 0.148693i | ||||
\(670\) | 27.8428 | − | 14.0685i | 1.07566 | − | 0.543514i | ||||
\(671\) | 2.77975 | + | 8.55519i | 0.107311 | + | 0.330269i | ||||
\(672\) | 2.21098 | − | 4.36434i | 0.0852903 | − | 0.168358i | ||||
\(673\) | 6.78969 | − | 9.34520i | 0.261723 | − | 0.360231i | −0.657851 | − | 0.753149i | \(-0.728534\pi\) |
0.919574 | + | 0.392917i | \(0.128534\pi\) | |||||||
\(674\) | −8.15003 | − | 14.1163i | −0.313927 | − | 0.543738i | ||||
\(675\) | 7.89979 | − | 5.65848i | 0.304063 | − | 0.217795i | ||||
\(676\) | −3.15121 | + | 5.45806i | −0.121201 | + | 0.209925i | ||||
\(677\) | 2.89844 | + | 0.304639i | 0.111396 | + | 0.0117082i | 0.160062 | − | 0.987107i | \(-0.448830\pi\) |
−0.0486663 | + | 0.998815i | \(0.515497\pi\) | |||||||
\(678\) | −7.24171 | + | 2.35297i | −0.278116 | + | 0.0903654i | ||||
\(679\) | 2.47673 | − | 1.61660i | 0.0950482 | − | 0.0620396i | ||||
\(680\) | 13.7570 | − | 3.63647i | 0.527556 | − | 0.139452i | ||||
\(681\) | 3.09296 | − | 0.657429i | 0.118522 | − | 0.0251927i | ||||
\(682\) | −23.5204 | − | 13.5795i | −0.900642 | − | 0.519986i | ||||
\(683\) | −3.69457 | + | 3.32660i | −0.141369 | + | 0.127289i | −0.736781 | − | 0.676131i | \(-0.763655\pi\) |
0.595413 | + | 0.803420i | \(0.296989\pi\) | |||||||
\(684\) | −14.9854 | − | 6.67192i | −0.572980 | − | 0.255107i | ||||
\(685\) | −14.2478 | − | 0.794912i | −0.544382 | − | 0.0303720i | ||||
\(686\) | −25.1865 | + | 20.6881i | −0.961625 | + | 0.789875i | ||||
\(687\) | 3.37298 | + | 4.64250i | 0.128687 | + | 0.177123i | ||||
\(688\) | 1.31857 | − | 2.96155i | 0.0502699 | − | 0.112908i | ||||
\(689\) | −46.6040 | + | 20.7494i | −1.77547 | + | 0.790490i | ||||
\(690\) | 0.978558 | − | 1.49577i | 0.0372531 | − | 0.0569432i | ||||
\(691\) | −21.6756 | − | 9.65060i | −0.824579 | − | 0.367126i | −0.0493304 | − | 0.998783i | \(-0.515709\pi\) |
−0.775249 | + | 0.631656i | \(0.782375\pi\) | |||||||
\(692\) | −11.9598 | − | 3.88598i | −0.454644 | − | 0.147723i | ||||
\(693\) | −16.1597 | + | 4.37025i | −0.613854 | + | 0.166012i | ||||
\(694\) | 3.17364 | − | 9.76745i | 0.120470 | − | 0.370767i | ||||
\(695\) | −1.55361 | − | 1.56413i | −0.0589318 | − | 0.0593308i | ||||
\(696\) | −3.49201 | − | 0.742251i | −0.132364 | − | 0.0281349i | ||||
\(697\) | −7.90039 | + | 37.1684i | −0.299249 | + | 1.40785i | ||||
\(698\) | −32.7414 | − | 3.44126i | −1.23928 | − | 0.130254i | ||||
\(699\) | −4.16191 | −0.157418 | ||||||||
\(700\) | −14.0039 | − | 3.81881i | −0.529298 | − | 0.144338i | ||||
\(701\) | −25.4170 | −0.959988 | −0.479994 | − | 0.877272i | \(-0.659361\pi\) | ||||
−0.479994 | + | 0.877272i | \(0.659361\pi\) | |||||||
\(702\) | −14.7267 | − | 1.54784i | −0.555824 | − | 0.0584194i | ||||
\(703\) | 4.74211 | − | 22.3099i | 0.178852 | − | 0.841433i | ||||
\(704\) | 0.248772 | + | 0.0528781i | 0.00937594 | + | 0.00199292i | ||||
\(705\) | −1.37519 | + | 0.694858i | −0.0517925 | + | 0.0261699i | ||||
\(706\) | −8.53542 | + | 26.2693i | −0.321235 | + | 0.988659i | ||||
\(707\) | −0.984633 | + | 3.70916i | −0.0370309 | + | 0.139497i | ||||
\(708\) | 3.36935 | + | 1.09477i | 0.126628 | + | 0.0411439i | ||||
\(709\) | −35.2743 | − | 15.7051i | −1.32475 | − | 0.589819i | −0.382265 | − | 0.924053i | \(-0.624856\pi\) |
−0.942490 | + | 0.334234i | \(0.891522\pi\) | |||||||
\(710\) | 0.952632 | + | 19.4316i | 0.0357517 | + | 0.729254i | ||||
\(711\) | 38.4323 | − | 17.1111i | 1.44132 | − | 0.641718i | ||||
\(712\) | −4.97773 | + | 11.1802i | −0.186548 | + | 0.418994i | ||||
\(713\) | −5.70679 | − | 7.85472i | −0.213721 | − | 0.294162i | ||||
\(714\) | −3.88305 | − | 4.77245i | −0.145320 | − | 0.178604i | ||||
\(715\) | −16.4196 | − | 13.3883i | −0.614059 | − | 0.500695i | ||||
\(716\) | −9.03902 | − | 4.02443i | −0.337804 | − | 0.150400i | ||||
\(717\) | 2.15968 | − | 1.94459i | 0.0806548 | − | 0.0726219i | ||||
\(718\) | 18.2972 | + | 10.5639i | 0.682844 | + | 0.394240i | ||||
\(719\) | −39.7240 | + | 8.44359i | −1.48145 | + | 0.314893i | −0.876513 | − | 0.481378i | \(-0.840137\pi\) |
−0.604941 | + | 0.796270i | \(0.706803\pi\) | |||||||
\(720\) | −17.4804 | − | 27.1173i | −0.651455 | − | 1.01060i | ||||
\(721\) | 5.32548 | + | 2.69790i | 0.198331 | + | 0.100475i | ||||
\(722\) | 12.9503 | − | 4.20779i | 0.481958 | − | 0.156598i | ||||
\(723\) | 2.36904 | + | 0.248996i | 0.0881055 | + | 0.00926026i | ||||
\(724\) | 9.83623 | − | 17.0369i | 0.365561 | − | 0.633170i | ||||
\(725\) | −0.229828 | + | 34.0568i | −0.00853560 | + | 1.26484i | ||||
\(726\) | 1.80289 | + | 3.12270i | 0.0669115 | + | 0.115894i | ||||
\(727\) | −29.9088 | + | 41.1659i | −1.10926 | + | 1.52676i | −0.286747 | + | 0.958006i | \(0.592574\pi\) |
−0.822508 | + | 0.568753i | \(0.807426\pi\) | |||||||
\(728\) | −9.94703 | − | 15.2394i | −0.368661 | − | 0.564810i | ||||
\(729\) | 6.58194 | + | 20.2571i | 0.243776 | + | 0.750264i | ||||
\(730\) | 8.86568 | + | 57.2247i | 0.328134 | + | 2.11798i | ||||
\(731\) | −1.74101 | − | 1.93358i | −0.0643935 | − | 0.0715162i | ||||
\(732\) | 1.28853 | + | 0.743933i | 0.0476254 | + | 0.0274966i | ||||
\(733\) | −6.95945 | − | 32.7417i | −0.257053 | − | 1.20934i | −0.897387 | − | 0.441244i | \(-0.854537\pi\) |
0.640334 | − | 0.768097i | \(-0.278796\pi\) | |||||||
\(734\) | 48.0305 | − | 34.8962i | 1.77284 | − | 1.28804i | ||||
\(735\) | −0.814270 | − | 5.09902i | −0.0300348 | − | 0.188080i | ||||
\(736\) | −6.24375 | − | 4.53635i | −0.230148 | − | 0.167212i | ||||
\(737\) | 7.05613 | − | 15.8483i | 0.259916 | − | 0.583781i | ||||
\(738\) | 48.0062 | − | 5.04566i | 1.76713 | − | 0.185733i | ||||
\(739\) | 7.16982 | − | 3.19221i | 0.263746 | − | 0.117427i | −0.270603 | − | 0.962691i | \(-0.587223\pi\) |
0.534350 | + | 0.845263i | \(0.320557\pi\) | |||||||
\(740\) | −7.67840 | + | 7.62676i | −0.282264 | + | 0.280365i | ||||
\(741\) | 5.97471 | − | 4.34088i | 0.219487 | − | 0.159466i | ||||
\(742\) | −2.74409 | + | 54.7970i | −0.100739 | + | 2.01166i | ||||
\(743\) | − | 36.9808i | − | 1.35670i | −0.734741 | − | 0.678348i | \(-0.762696\pi\) | ||
0.734741 | − | 0.678348i | \(-0.237304\pi\) | |||||||
\(744\) | 3.61510 | − | 0.768414i | 0.132536 | − | 0.0281714i | ||||
\(745\) | −7.23322 | − | 19.0349i | −0.265005 | − | 0.697385i | ||||
\(746\) | −62.7681 | − | 13.3418i | −2.29810 | − | 0.488477i | ||||
\(747\) | 3.75454 | + | 3.38061i | 0.137372 | + | 0.123690i | ||||
\(748\) | −5.65340 | + | 7.78124i | −0.206709 | + | 0.284510i | ||||
\(749\) | 32.1897 | − | 32.3397i | 1.17619 | − | 1.18167i | ||||
\(750\) | 4.63609 | − | 4.54317i | 0.169286 | − | 0.165893i | ||||
\(751\) | 25.1619 | + | 43.5818i | 0.918172 | + | 1.59032i | 0.802189 | + | 0.597070i | \(0.203669\pi\) |
0.115983 | + | 0.993251i | \(0.462998\pi\) | |||||||
\(752\) | 4.23976 | + | 9.52266i | 0.154608 | + | 0.347256i | ||||
\(753\) | −0.760566 | + | 3.57818i | −0.0277166 | + | 0.130396i | ||||
\(754\) | 34.7274 | − | 38.5687i | 1.26470 | − | 1.40459i | ||||
\(755\) | −30.3739 | + | 37.2510i | −1.10542 | + | 1.35570i | ||||
\(756\) | −3.06181 | + | 4.73886i | −0.111357 | + | 0.172351i | ||||
\(757\) | − | 1.25717i | − | 0.0456925i | −0.999739 | − | 0.0228463i | \(-0.992727\pi\) | ||
0.999739 | − | 0.0228463i | \(-0.00727283\pi\) | |||||||
\(758\) | −9.07081 | − | 42.6748i | −0.329467 | − | 1.55002i | ||||
\(759\) | −0.103903 | − | 0.988572i | −0.00377144 | − | 0.0358829i | ||||
\(760\) | 17.7275 | + | 4.81423i | 0.643044 | + | 0.174631i | ||||
\(761\) | 1.92099 | − | 18.2770i | 0.0696358 | − | 0.662540i | −0.902910 | − | 0.429829i | \(-0.858574\pi\) |
0.972546 | − | 0.232711i | \(-0.0747596\pi\) | |||||||
\(762\) | −0.0707206 | − | 0.0973386i | −0.00256194 | − | 0.00352621i | ||||
\(763\) | −1.89627 | − | 4.90584i | −0.0686497 | − | 0.177603i | ||||
\(764\) | −21.0938 | − | 15.3256i | −0.763148 | − | 0.554459i | ||||
\(765\) | −25.5892 | + | 3.96447i | −0.925180 | + | 0.143336i | ||||
\(766\) | 6.65799 | + | 63.3465i | 0.240563 | + | 2.28880i | ||||
\(767\) | 31.4894 | − | 28.3532i | 1.13702 | − | 1.02377i | ||||
\(768\) | 5.67312 | − | 3.27538i | 0.204711 | − | 0.118190i | ||||
\(769\) | −0.578703 | + | 1.78107i | −0.0208686 | + | 0.0642269i | −0.960948 | − | 0.276727i | \(-0.910750\pi\) |
0.940080 | + | 0.340954i | \(0.110750\pi\) | |||||||
\(770\) | −20.8253 | + | 9.24586i | −0.750493 | + | 0.333198i | ||||
\(771\) | −1.20271 | − | 3.70157i | −0.0433147 | − | 0.133309i | ||||
\(772\) | 14.4963 | + | 13.0525i | 0.521733 | + | 0.469770i | ||||
\(773\) | 5.16387 | + | 11.5982i | 0.185732 | + | 0.417160i | 0.982281 | − | 0.187413i | \(-0.0600103\pi\) |
−0.796550 | + | 0.604573i | \(0.793344\pi\) | |||||||
\(774\) | −1.65262 | + | 2.86242i | −0.0594022 | + | 0.102888i | ||||
\(775\) | −14.1231 | − | 32.3059i | −0.507315 | − | 1.16046i | ||||
\(776\) | 1.77603 | 0.0637559 | ||||||||
\(777\) | −3.59744 | − | 1.37134i | −0.129058 | − | 0.0491967i | ||||
\(778\) | 32.5628 | − | 10.5803i | 1.16743 | − | 0.379322i | ||||
\(779\) | −32.8239 | + | 36.4546i | −1.17604 | + | 1.30612i | ||||
\(780\) | −3.50002 | + | 0.171588i | −0.125321 | + | 0.00614385i | ||||
\(781\) | 7.23943 | + | 8.04020i | 0.259047 | + | 0.287701i | ||||
\(782\) | −8.40528 | + | 4.85279i | −0.300572 | + | 0.173535i | ||||
\(783\) | 12.5899 | + | 4.09072i | 0.449928 | + | 0.146190i | ||||
\(784\) | −34.7251 | + | 3.81304i | −1.24018 | + | 0.136180i | ||||
\(785\) | 1.04873 | + | 0.855118i | 0.0374307 | + | 0.0305205i | ||||
\(786\) | 0.151292 | − | 1.43945i | 0.00539642 | − | 0.0513435i | ||||
\(787\) | 31.5071 | − | 3.31153i | 1.12311 | − | 0.118043i | 0.475283 | − | 0.879833i | \(-0.342346\pi\) |
0.647825 | + | 0.761789i | \(0.275679\pi\) | |||||||
\(788\) | −12.1761 | + | 1.27976i | −0.433755 | + | 0.0455895i | ||||
\(789\) | 0.829296 | − | 7.89022i | 0.0295237 | − | 0.280899i | ||||
\(790\) | 48.1287 | − | 31.0248i | 1.71234 | − | 1.10381i | ||||
\(791\) | 27.0173 | + | 21.7744i | 0.960624 | + | 0.774208i | ||||
\(792\) | −9.56033 | − | 3.10634i | −0.339712 | − | 0.110379i | ||||
\(793\) | 15.4115 | − | 8.89786i | 0.547280 | − | 0.315972i | ||||
\(794\) | −20.5277 | − | 22.7983i | −0.728500 | − | 0.809081i | ||||
\(795\) | −7.27373 | − | 4.75858i | −0.257972 | − | 0.168770i | ||||
\(796\) | 9.27764 | − | 10.3039i | 0.328837 | − | 0.365211i | ||||
\(797\) | −4.72567 | + | 1.53546i | −0.167392 | + | 0.0543889i | −0.391514 | − | 0.920172i | \(-0.628049\pi\) |
0.224122 | + | 0.974561i | \(0.428049\pi\) | |||||||
\(798\) | −1.26074 | − | 7.84199i | −0.0446297 | − | 0.277603i | ||||
\(799\) | 8.36621 | 0.295975 | ||||||||
\(800\) | −18.6126 | − | 20.9540i | −0.658055 | − | 0.740837i | ||||
\(801\) | 11.1354 | − | 19.2871i | 0.393450 | − | 0.681475i | ||||
\(802\) | 18.3130 | + | 41.1317i | 0.646656 | + | 1.45241i | ||||
\(803\) | 23.9316 | + | 21.5481i | 0.844527 | + | 0.760416i | ||||
\(804\) | −0.886699 | − | 2.72898i | −0.0312715 | − | 0.0962436i | ||||
\(805\) | −8.14551 | − | 0.00855100i | −0.287092 | − | 0.000301383i | ||||
\(806\) | −16.6031 | + | 51.0990i | −0.584818 | + | 1.79989i | ||||
\(807\) | 1.24054 | − | 0.716228i | 0.0436692 | − | 0.0252124i | ||||
\(808\) | −1.71255 | + | 1.54199i | −0.0602473 | + | 0.0542469i | ||||
\(809\) | 2.66126 | + | 25.3202i | 0.0935649 | + | 0.890211i | 0.936139 | + | 0.351630i | \(0.114373\pi\) |
−0.842574 | + | 0.538580i | \(0.818961\pi\) | |||||||
\(810\) | 14.2553 | + | 28.2125i | 0.500880 | + | 0.991287i | ||||
\(811\) | −44.1765 | − | 32.0961i | −1.55125 | − | 1.12705i | −0.942755 | − | 0.333486i | \(-0.891775\pi\) |
−0.608491 | − | 0.793561i | \(-0.708225\pi\) | |||||||
\(812\) | −7.12932 | − | 18.4443i | −0.250190 | − | 0.647267i | ||||
\(813\) | 3.39502 | + | 4.67284i | 0.119068 | + | 0.163884i | ||||
\(814\) | −1.77580 | + | 16.8956i | −0.0622418 | + | 0.592192i | ||||
\(815\) | −2.52667 | + | 3.86214i | −0.0885054 | + | 0.135285i | ||||
\(816\) | −0.689292 | − | 6.55817i | −0.0241300 | − | 0.229582i | ||||
\(817\) | −0.698357 | − | 3.28551i | −0.0244324 | − | 0.114946i | ||||
\(818\) | 23.7041i | 0.828793i | ||||||||
\(819\) | 15.1034 | + | 29.4725i | 0.527755 | + | 1.02985i | ||||
\(820\) | 22.5033 | − | 5.94842i | 0.785848 | − | 0.207728i | ||||
\(821\) | 33.6041 | − | 37.3211i | 1.17279 | − | 1.30252i | 0.228446 | − | 0.973556i | \(-0.426635\pi\) |
0.944344 | − | 0.328959i | \(-0.106698\pi\) | |||||||
\(822\) | −0.770332 | + | 3.62413i | −0.0268684 | + | 0.126406i | ||||
\(823\) | 9.00575 | + | 20.2272i | 0.313921 | + | 0.705077i | 0.999742 | − | 0.0226922i | \(-0.00722377\pi\) |
−0.685822 | + | 0.727769i | \(0.740557\pi\) | |||||||
\(824\) | 1.79243 | + | 3.10458i | 0.0624422 | + | 0.108153i | ||||
\(825\) | 0.401541 | − | 3.58737i | 0.0139799 | − | 0.124896i | ||||
\(826\) | −11.8972 | − | 43.9917i | −0.413957 | − | 1.53067i | ||||
\(827\) | 12.2325 | − | 16.8366i | 0.425366 | − | 0.585466i | −0.541516 | − | 0.840690i | \(-0.682149\pi\) |
0.966882 | + | 0.255225i | \(0.0821494\pi\) | |||||||
\(828\) | 3.24592 | + | 2.92264i | 0.112803 | + | 0.101569i | ||||
\(829\) | 14.5134 | + | 3.08492i | 0.504072 | + | 0.107144i | 0.452927 | − | 0.891547i | \(-0.350380\pi\) |
0.0511448 | + | 0.998691i | \(0.483713\pi\) | |||||||
\(830\) | 5.75465 | + | 3.76478i | 0.199747 | + | 0.130678i | ||||
\(831\) | −1.49338 | + | 0.317428i | −0.0518048 | + | 0.0110114i | ||||
\(832\) | − | 0.503140i | − | 0.0174433i | ||||||
\(833\) | −8.54016 | + | 26.7057i | −0.295899 | + | 0.925297i | ||||
\(834\) | −0.463084 | + | 0.336450i | −0.0160353 | + | 0.0116503i | ||||
\(835\) | −17.7291 | − | 9.10889i | −0.613539 | − | 0.315226i | ||||
\(836\) | −11.3431 | + | 5.05026i | −0.392308 | + | 0.174667i | ||||
\(837\) | −13.6294 | + | 1.43251i | −0.471101 | + | 0.0495147i | ||||
\(838\) | −2.67346 | + | 6.00470i | −0.0923533 | + | 0.207429i | ||||
\(839\) | −11.8614 | − | 8.61778i | −0.409500 | − | 0.297519i | 0.363900 | − | 0.931438i | \(-0.381445\pi\) |
−0.773399 | + | 0.633919i | \(0.781445\pi\) | |||||||
\(840\) | 1.26415 | − | 2.83132i | 0.0436172 | − | 0.0976898i | ||||
\(841\) | −14.0743 | + | 10.2256i | −0.485320 | + | 0.352605i | ||||
\(842\) | −11.4513 | − | 53.8739i | −0.394636 | − | 1.85662i | ||||
\(843\) | −1.19793 | − | 0.691624i | −0.0412588 | − | 0.0238208i | ||||
\(844\) | −2.92807 | − | 3.25195i | −0.100788 | − | 0.111937i | ||||
\(845\) | −5.86946 | + | 11.4240i | −0.201916 | + | 0.392998i | ||||
\(846\) | −3.28416 | − | 10.1076i | −0.112912 | − | 0.347507i | ||||
\(847\) | 7.42588 | − | 14.6582i | 0.255156 | − | 0.503663i | ||||
\(848\) | −34.5645 | + | 47.5739i | −1.18695 | + | 1.63369i | ||||
\(849\) | 0.273748 | + | 0.474146i | 0.00939501 | + | 0.0162726i | ||||
\(850\) | −33.5934 | + | 10.6651i | −1.15225 | + | 0.365809i | ||||
\(851\) | −3.03661 | + | 5.25957i | −0.104094 | + | 0.180296i | ||||
\(852\) | 1.77971 | + | 0.187055i | 0.0609717 | + | 0.00640839i | ||||
\(853\) | 49.3536 | − | 16.0360i | 1.68984 | − | 0.549061i | 0.703057 | − | 0.711133i | \(-0.251818\pi\) |
0.986779 | + | 0.162072i | \(0.0518177\pi\) | |||||||
\(854\) | −1.04609 | − | 19.1106i | −0.0357965 | − | 0.653950i | ||||
\(855\) | −31.1676 | − | 12.0849i | −1.06591 | − | 0.413296i | ||||
\(856\) | 26.8013 | − | 5.69678i | 0.916048 | − | 0.194712i | ||||
\(857\) | 19.9570 | + | 11.5222i | 0.681719 | + | 0.393591i | 0.800503 | − | 0.599329i | \(-0.204566\pi\) |
−0.118783 | + | 0.992920i | \(0.537899\pi\) | |||||||
\(858\) | −4.08790 | + | 3.68076i | −0.139559 | + | 0.125659i | ||||
\(859\) | 38.3351 | + | 17.0679i | 1.30798 | + | 0.582349i | 0.937982 | − | 0.346684i | \(-0.112692\pi\) |
0.369996 | + | 0.929033i | \(0.379359\pi\) | |||||||
\(860\) | −0.576181 | + | 1.48600i | −0.0196476 | + | 0.0506720i | ||||
\(861\) | 5.22586 | + | 6.42282i | 0.178097 | + | 0.218889i | ||||
\(862\) | 3.65991 | + | 5.03743i | 0.124657 | + | 0.171576i | ||||
\(863\) | −15.1835 | + | 34.1028i | −0.516854 | + | 1.16087i | 0.447022 | + | 0.894523i | \(0.352484\pi\) |
−0.963876 | + | 0.266350i | \(0.914182\pi\) | |||||||
\(864\) | −9.95193 | + | 4.43088i | −0.338571 | + | 0.150742i | ||||
\(865\) | −24.7313 | − | 6.71624i | −0.840888 | − | 0.228359i | ||||
\(866\) | 37.5436 | + | 16.7155i | 1.27578 | + | 0.568015i | ||||
\(867\) | 0.300118 | + | 0.0975141i | 0.0101925 | + | 0.00331175i | ||||
\(868\) | 14.5089 | + | 14.4416i | 0.492465 | + | 0.490181i | ||||
\(869\) | 9.84037 | − | 30.2855i | 0.333812 | − | 1.02737i | ||||
\(870\) | 8.72920 | + | 1.41278i | 0.295948 | + | 0.0478977i | ||||
\(871\) | −33.5699 | − | 7.13550i | −1.13747 | − | 0.241777i | ||||
\(872\) | 0.656654 | − | 3.08931i | 0.0222371 | − | 0.104617i | ||||
\(873\) | −3.21428 | − | 0.337834i | −0.108787 | − | 0.0114340i | ||||
\(874\) | −12.5294 | −0.423814 | ||||||||
\(875\) | −28.8852 | − | 6.37555i | −0.976497 | − | 0.215533i | ||||
\(876\) | 5.32646 | 0.179964 | ||||||||
\(877\) | 21.0147 | + | 2.20874i | 0.709617 | + | 0.0745838i | 0.452458 | − | 0.891785i | \(-0.350547\pi\) |
0.257159 | + | 0.966369i | \(0.417214\pi\) | |||||||
\(878\) | 8.60505 | − | 40.4836i | 0.290406 | − | 1.36625i | ||||
\(879\) | 3.87725 | + | 0.824135i | 0.130776 | + | 0.0277974i | ||||
\(880\) | −24.1077 | − | 3.90171i | −0.812669 | − | 0.131527i | ||||
\(881\) | 8.97863 | − | 27.6334i | 0.302498 | − | 0.930992i | −0.678102 | − | 0.734968i | \(-0.737197\pi\) |
0.980599 | − | 0.196024i | \(-0.0628029\pi\) | |||||||
\(882\) | 35.6168 | − | 0.165574i | 1.19928 | − | 0.00557515i | ||||
\(883\) | 47.1634 | + | 15.3243i | 1.58717 | + | 0.515704i | 0.963892 | − | 0.266293i | \(-0.0857989\pi\) |
0.623282 | + | 0.781997i | \(0.285799\pi\) | |||||||
\(884\) | 17.3826 | + | 7.73921i | 0.584639 | + | 0.260298i | ||||
\(885\) | 6.96735 | + | 1.89211i | 0.234205 | + | 0.0636027i | ||||
\(886\) | 3.37173 | − | 1.50119i | 0.113276 | − | 0.0504336i | ||||
\(887\) | −5.31864 | + | 11.9459i | −0.178583 | + | 0.401103i | −0.980551 | − | 0.196263i | \(-0.937119\pi\) |
0.801969 | + | 0.597366i | \(0.203786\pi\) | |||||||
\(888\) | −1.35888 | − | 1.87034i | −0.0456011 | − | 0.0627645i | ||||
\(889\) | −0.195302 | + | 0.512335i | −0.00655022 | + | 0.0171832i | ||||
\(890\) | 10.9588 | − | 28.2632i | 0.367339 | − | 0.947385i | ||||
\(891\) | 16.0587 | + | 7.14982i | 0.537988 | + | 0.239528i | ||||
\(892\) | 12.7920 | − | 11.5179i | 0.428306 | − | 0.385649i | ||||
\(893\) | 9.35339 | + | 5.40018i | 0.312999 | + | 0.180710i | ||||
\(894\) | −5.17153 | + | 1.09924i | −0.172962 | + | 0.0367642i | ||||
\(895\) | −18.8000 | − | 7.28950i | −0.628413 | − | 0.243661i | ||||
\(896\) | −26.9419 | − | 13.6488i | −0.900065 | − | 0.455974i | ||||
\(897\) | −1.87022 | + | 0.607671i | −0.0624448 | + | 0.0202895i | ||||
\(898\) | 9.96759 | + | 1.04764i | 0.332623 | + | 0.0349601i | ||||
\(899\) | 24.0161 | − | 41.5971i | 0.800982 | − | 1.38734i | ||||
\(900\) | 9.23646 | + | 12.8950i | 0.307882 | + | 0.429833i | ||||
\(901\) | 23.5984 | + | 40.8736i | 0.786176 | + | 1.36170i | ||||
\(902\) | 21.4766 | − | 29.5600i | 0.715092 | − | 0.984239i | ||||
\(903\) | −0.566125 | + | 0.0309890i | −0.0188395 | + | 0.00103125i | ||||
\(904\) | 6.43891 | + | 19.8169i | 0.214155 | + | 0.659102i | ||||
\(905\) | 18.3210 | − | 35.6590i | 0.609010 | − | 1.18535i | ||||
\(906\) | 8.35049 | + | 9.27416i | 0.277427 | + | 0.308113i | ||||
\(907\) | 33.6522 | + | 19.4291i | 1.11740 | + | 0.645132i | 0.940736 | − | 0.339138i | \(-0.110136\pi\) |
0.176666 | + | 0.984271i | \(0.443469\pi\) | |||||||
\(908\) | 2.18666 | + | 10.2874i | 0.0725670 | + | 0.341401i | ||||
\(909\) | 3.39270 | − | 2.46494i | 0.112529 | − | 0.0817569i | ||||
\(910\) | 26.4571 | + | 36.4956i | 0.877044 | + | 1.20982i | ||||
\(911\) | 20.5116 | + | 14.9025i | 0.679578 | + | 0.493743i | 0.873218 | − | 0.487330i | \(-0.162029\pi\) |
−0.193639 | + | 0.981073i | \(0.562029\pi\) | |||||||
\(912\) | 3.46251 | − | 7.77693i | 0.114655 | − | 0.257520i | ||||
\(913\) | 3.80331 | − | 0.399744i | 0.125871 | − | 0.0132296i | ||||
\(914\) | 46.6492 | − | 20.7696i | 1.54302 | − | 0.686996i | ||||
\(915\) | 2.69696 | + | 1.38565i | 0.0891587 | + | 0.0458082i | ||||
\(916\) | −15.4414 | + | 11.2188i | −0.510197 | + | 0.370680i | ||||
\(917\) | −5.86997 | + | 3.00811i | −0.193844 | + | 0.0993364i | ||||
\(918\) | 13.6997i | 0.452157i | ||||||||
\(919\) | 57.8563 | − | 12.2977i | 1.90850 | − | 0.405665i | 0.908576 | − | 0.417720i | \(-0.137171\pi\) |
0.999927 | + | 0.0120551i | \(0.00383736\pi\) | |||||||
\(920\) | −4.09319 | − | 2.67783i | −0.134948 | − | 0.0882853i | ||||
\(921\) | 2.74180 | + | 0.582787i | 0.0903453 | + | 0.0192035i | ||||
\(922\) | −25.1224 | − | 22.6203i | −0.827362 | − | 0.744960i | ||||
\(923\) | 12.5807 | − | 17.3158i | 0.414098 | − | 0.569957i | ||||
\(924\) | 0.547154 | + | 2.02319i | 0.0180001 | + | 0.0665579i | ||||
\(925\) | −14.8679 | + | 16.2900i | −0.488852 | + | 0.535612i | ||||
\(926\) | 33.4476 | + | 57.9330i | 1.09916 | + | 1.90380i | ||||
\(927\) | −2.65340 | − | 5.95964i | −0.0871492 | − | 0.195740i | ||||
\(928\) | 7.93827 | − | 37.3466i | 0.260587 | − | 1.22596i | ||||
\(929\) | −27.9916 | + | 31.0879i | −0.918376 | + | 1.01996i | 0.0813535 | + | 0.996685i | \(0.474076\pi\) |
−0.999729 | + | 0.0232741i | \(0.992591\pi\) | |||||||
\(930\) | −8.85050 | + | 2.33951i | −0.290219 | + | 0.0767154i | ||||
\(931\) | −26.7857 | + | 24.3444i | −0.877866 | + | 0.797855i | ||||
\(932\) | − | 13.8429i | − | 0.453438i | ||||||
\(933\) | −1.98925 | − | 9.35869i | −0.0651251 | − | 0.306390i | ||||
\(934\) | 3.53711 | + | 33.6533i | 0.115738 | + | 1.10117i | ||||
\(935\) | −10.7307 | + | 16.4024i | −0.350931 | + | 0.536415i | ||||
\(936\) | −2.07871 | + | 19.7776i | −0.0679447 | + | 0.646450i | ||||
\(937\) | −5.24321 | − | 7.21666i | −0.171288 | − | 0.235758i | 0.714739 | − | 0.699391i | \(-0.246546\pi\) |
−0.886027 | + | 0.463633i | \(0.846546\pi\) | |||||||
\(938\) | −23.1620 | + | 28.7390i | −0.756265 | + | 0.938361i | ||||
\(939\) | 4.13914 | + | 3.00726i | 0.135076 | + | 0.0981383i | ||||
\(940\) | −2.31116 | − | 4.57399i | −0.0753816 | − | 0.149187i | ||||
\(941\) | 1.78656 | + | 16.9980i | 0.0582402 | + | 0.554118i | 0.984270 | + | 0.176669i | \(0.0565321\pi\) |
−0.926030 | + | 0.377449i | \(0.876801\pi\) | |||||||
\(942\) | 0.261096 | − | 0.235091i | 0.00850695 | − | 0.00765969i | ||||
\(943\) | 11.3119 | − | 6.53094i | 0.368367 | − | 0.212677i | ||||
\(944\) | 15.0936 | − | 46.4532i | 0.491254 | − | 1.51192i | ||||
\(945\) | −5.75926 | + | 9.95119i | −0.187349 | + | 0.323712i | ||||
\(946\) | 0.773123 | + | 2.37943i | 0.0251364 | + | 0.0773618i | ||||
\(947\) | −4.38164 | − | 3.94525i | −0.142384 | − | 0.128203i | 0.594861 | − | 0.803829i | \(-0.297207\pi\) |
−0.737245 | + | 0.675625i | \(0.763874\pi\) | |||||||
\(948\) | −2.14231 | − | 4.81171i | −0.0695791 | − | 0.156277i | ||||
\(949\) | 31.8537 | − | 55.1723i | 1.03402 | − | 1.79097i | ||||
\(950\) | −44.4413 | − | 9.76021i | −1.44187 | − | 0.316663i | ||||
\(951\) | −5.98642 | −0.194123 | ||||||||
\(952\) | −13.0598 | + | 10.6260i | −0.423271 | + | 0.344390i | ||||
\(953\) | −7.29872 | + | 2.37150i | −0.236429 | + | 0.0768204i | −0.424835 | − | 0.905271i | \(-0.639668\pi\) |
0.188406 | + | 0.982091i | \(0.439668\pi\) | |||||||
\(954\) | 40.1177 | − | 44.5552i | 1.29886 | − | 1.44253i | ||||
\(955\) | −44.4645 | − | 29.0894i | −1.43884 | − | 0.941310i | ||||
\(956\) | 6.46786 | + | 7.18328i | 0.209185 | + | 0.232324i | ||||
\(957\) | 4.25877 | − | 2.45880i | 0.137666 | − | 0.0794817i | ||||
\(958\) | −55.1629 | − | 17.9235i | −1.78223 | − | 0.579082i | ||||
\(959\) | 15.7489 | − | 6.08748i | 0.508559 | − | 0.196575i | ||||
\(960\) | 0.0720537 | − | 0.0464473i | 0.00232552 | − | 0.00149908i | ||||
\(961\) | −1.95732 | + | 18.6227i | −0.0631395 | + | 0.600732i | ||||
\(962\) | 33.4246 | − | 3.51307i | 1.07765 | − | 0.113266i | ||||
\(963\) | −49.5888 | + | 5.21199i | −1.59798 | + | 0.167954i | ||||
\(964\) | −0.828182 | + | 7.87962i | −0.0266739 | + | 0.253786i | ||||
\(965\) | 30.8088 | + | 25.1211i | 0.991770 | + | 0.808676i | ||||
\(966\) | −0.325990 | + | 2.08964i | −0.0104886 | + | 0.0672332i | ||||
\(967\) | 11.9941 | + | 3.89711i | 0.385703 | + | 0.125323i | 0.495449 | − | 0.868637i | \(-0.335004\pi\) |
−0.109746 | + | 0.993960i | \(0.535004\pi\) | |||||||
\(968\) | 8.54526 | − | 4.93361i | 0.274655 | − | 0.158572i | ||||
\(969\) | −4.57183 | − | 5.07753i | −0.146868 | − | 0.163114i | ||||
\(970\) | −4.39387 | + | 0.215409i | −0.141079 | + | 0.00691638i | ||||
\(971\) | 29.8632 | − | 33.1665i | 0.958356 | − | 1.06436i | −0.0395195 | − | 0.999219i | \(-0.512583\pi\) |
0.997876 | − | 0.0651438i | \(-0.0207506\pi\) | |||||||
\(972\) | 8.84946 | − | 2.87536i | 0.283847 | − | 0.0922273i | ||||
\(973\) | 2.43741 | + | 0.929140i | 0.0781398 | + | 0.0297869i | ||||
\(974\) | −34.2028 | −1.09593 | ||||||||
\(975\) | −7.10696 | + | 0.698516i | −0.227605 | + | 0.0223704i | ||||
\(976\) | 10.2566 | − | 17.7650i | 0.328306 | − | 0.568643i | ||||
\(977\) | −12.0646 | − | 27.0976i | −0.385981 | − | 0.866928i | −0.997151 | − | 0.0754287i | \(-0.975967\pi\) |
0.611170 | − | 0.791499i | \(-0.290699\pi\) | |||||||
\(978\) | 0.890513 | + | 0.801821i | 0.0284755 | + | 0.0256394i | ||||
\(979\) | −5.20933 | − | 16.0327i | −0.166491 | − | 0.512406i | ||||
\(980\) | 16.9598 | − | 2.70833i | 0.541761 | − | 0.0865144i | ||||
\(981\) | −1.77606 | + | 5.46616i | −0.0567053 | + | 0.174521i | ||||
\(982\) | −17.3630 | + | 10.0245i | −0.554075 | + | 0.319896i | ||||
\(983\) | −24.0067 | + | 21.6157i | −0.765695 | + | 0.689435i | −0.956351 | − | 0.292222i | \(-0.905605\pi\) |
0.190655 | + | 0.981657i | \(0.438939\pi\) | |||||||
\(984\) | 0.519737 | + | 4.94497i | 0.0165686 | + | 0.157640i | ||||
\(985\) | −24.6560 | + | 3.81989i | −0.785605 | + | 0.121712i | ||||
\(986\) | −38.8453 | − | 28.2227i | −1.23709 | − | 0.898795i | ||||
\(987\) | 1.14399 | − | 1.41945i | 0.0364137 | − | 0.0451815i | ||||
\(988\) | 14.4381 | + | 19.8724i | 0.459339 | + | 0.632225i | ||||
\(989\) | −0.0934889 | + | 0.889487i | −0.00297277 | + | 0.0282840i | ||||
\(990\) | 24.0288 | + | 6.52548i | 0.763686 | + | 0.207393i | ||||
\(991\) | 0.730983 | + | 6.95483i | 0.0232204 | + | 0.220928i | 0.999978 | + | 0.00658213i | \(0.00209517\pi\) |
−0.976758 | + | 0.214345i | \(0.931238\pi\) | |||||||
\(992\) | 8.21809 | + | 38.6631i | 0.260925 | + | 1.22755i | ||||
\(993\) | − | 5.99374i | − | 0.190206i | ||||||
\(994\) | −10.4982 | − | 20.4861i | −0.332983 | − | 0.649778i | ||||
\(995\) | 17.8559 | − | 21.8987i | 0.566069 | − | 0.694235i | ||||
\(996\) | 0.423251 | − | 0.470068i | 0.0134112 | − | 0.0148947i | ||||
\(997\) | −10.4597 | + | 49.2092i | −0.331263 | + | 1.55847i | 0.425608 | + | 0.904908i | \(0.360060\pi\) |
−0.756871 | + | 0.653564i | \(0.773273\pi\) | |||||||
\(998\) | 13.7669 | + | 30.9210i | 0.435784 | + | 0.978787i | ||||
\(999\) | 4.28626 | + | 7.42402i | 0.135611 | + | 0.234886i |
(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 | 175.2.t.a.109.15 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.326.8 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.326.29 | 288 | |||
5.4 | even | 2 | 875.2.u.a.424.4 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.9.4 | ✓ | 144 | |
25.2 | odd | 20 | 875.2.q.b.676.29 | 288 | |||
25.11 | even | 5 | 875.2.u.a.74.15 | 144 | |||
25.14 | even | 10 | inner | 175.2.t.a.39.4 | yes | 144 | |
25.23 | odd | 20 | 875.2.q.b.676.8 | 288 | |||
35.2 | odd | 12 | 875.2.q.b.576.29 | 288 | |||
35.9 | even | 6 | 875.2.u.a.674.15 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.576.8 | 288 | |||
175.2 | odd | 60 | 875.2.q.b.51.8 | 288 | |||
175.23 | odd | 60 | 875.2.q.b.51.29 | 288 | |||
175.86 | even | 15 | 875.2.u.a.324.4 | 144 | |||
175.114 | even | 30 | inner | 175.2.t.a.114.15 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.4 | ✓ | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.39.4 | yes | 144 | 25.14 | even | 10 | inner | |
175.2.t.a.109.15 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.114.15 | yes | 144 | 175.114 | even | 30 | inner | |
875.2.q.b.51.8 | 288 | 175.2 | odd | 60 | |||
875.2.q.b.51.29 | 288 | 175.23 | odd | 60 | |||
875.2.q.b.326.8 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.326.29 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.576.8 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.576.29 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.676.8 | 288 | 25.23 | odd | 20 | |||
875.2.q.b.676.29 | 288 | 25.2 | odd | 20 | |||
875.2.u.a.74.15 | 144 | 25.11 | even | 5 | |||
875.2.u.a.324.4 | 144 | 175.86 | even | 15 | |||
875.2.u.a.424.4 | 144 | 5.4 | even | 2 | |||
875.2.u.a.674.15 | 144 | 35.9 | even | 6 |