Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(20,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 36, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bv (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 20.16 | ||
Character | \(\chi\) | \(=\) | 429.20 |
Dual form | 429.2.bv.a.236.16 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33300 | − | 0.0698593i | −0.942570 | − | 0.0493980i | −0.425144 | − | 0.905126i | \(-0.639776\pi\) |
−0.517426 | + | 0.855728i | \(0.673110\pi\) | |||||||
\(3\) | 1.66414 | − | 0.480245i | 0.960792 | − | 0.277270i | ||||
\(4\) | −0.217048 | − | 0.0228127i | −0.108524 | − | 0.0114064i | ||||
\(5\) | −0.706650 | − | 0.360056i | −0.316023 | − | 0.161022i | 0.288783 | − | 0.957395i | \(-0.406749\pi\) |
−0.604806 | + | 0.796373i | \(0.706749\pi\) | |||||||
\(6\) | −2.25184 | + | 0.523909i | −0.919310 | + | 0.213885i | ||||
\(7\) | −1.22329 | − | 1.51064i | −0.462361 | − | 0.570968i | 0.491630 | − | 0.870804i | \(-0.336401\pi\) |
−0.953991 | + | 0.299836i | \(0.903068\pi\) | |||||||
\(8\) | 2.92451 | + | 0.463197i | 1.03397 | + | 0.163765i | ||||
\(9\) | 2.53873 | − | 1.59839i | 0.846243 | − | 0.532797i | ||||
\(10\) | 0.916807 | + | 0.529319i | 0.289920 | + | 0.167385i | ||||
\(11\) | 0.458456 | + | 3.28479i | 0.138230 | + | 0.990400i | ||||
\(12\) | −0.372155 | + | 0.0662729i | −0.107432 | + | 0.0191313i | ||||
\(13\) | 0.0618485 | − | 3.60502i | 0.0171537 | − | 0.999853i | ||||
\(14\) | 1.52511 | + | 2.09913i | 0.407603 | + | 0.561017i | ||||
\(15\) | −1.34888 | − | 0.259819i | −0.348279 | − | 0.0670849i | ||||
\(16\) | −3.43905 | − | 0.730993i | −0.859763 | − | 0.182748i | ||||
\(17\) | 1.22091 | − | 1.35596i | 0.296115 | − | 0.328869i | −0.576667 | − | 0.816979i | \(-0.695647\pi\) |
0.872782 | + | 0.488111i | \(0.162314\pi\) | |||||||
\(18\) | −3.49578 | + | 1.95329i | −0.823962 | + | 0.460396i | ||||
\(19\) | −2.40914 | − | 6.27604i | −0.552696 | − | 1.43982i | −0.870739 | − | 0.491745i | \(-0.836359\pi\) |
0.318044 | − | 0.948076i | \(-0.396974\pi\) | |||||||
\(20\) | 0.145163 | + | 0.0942702i | 0.0324595 | + | 0.0210794i | ||||
\(21\) | −2.76121 | − | 1.92644i | −0.602545 | − | 0.420383i | ||||
\(22\) | −0.381647 | − | 4.41063i | −0.0813673 | − | 0.940350i | ||||
\(23\) | 0.984340 | − | 1.70493i | 0.205249 | − | 0.355502i | −0.744963 | − | 0.667106i | \(-0.767533\pi\) |
0.950212 | + | 0.311604i | \(0.100866\pi\) | |||||||
\(24\) | 5.08925 | − | 0.633658i | 1.03884 | − | 0.129345i | ||||
\(25\) | −2.56921 | − | 3.53622i | −0.513843 | − | 0.707244i | ||||
\(26\) | −0.334288 | + | 4.80115i | −0.0655593 | + | 0.941584i | ||||
\(27\) | 3.45718 | − | 3.87916i | 0.665335 | − | 0.746545i | ||||
\(28\) | 0.231052 | + | 0.355788i | 0.0436647 | + | 0.0672377i | ||||
\(29\) | −0.266061 | − | 0.597584i | −0.0494063 | − | 0.110968i | 0.887156 | − | 0.461470i | \(-0.152678\pi\) |
−0.936562 | + | 0.350502i | \(0.886011\pi\) | |||||||
\(30\) | 1.77990 | + | 0.440569i | 0.324964 | + | 0.0804365i | ||||
\(31\) | 2.76720 | − | 1.40996i | 0.497005 | − | 0.253237i | −0.187474 | − | 0.982270i | \(-0.560030\pi\) |
0.684478 | + | 0.729033i | \(0.260030\pi\) | |||||||
\(32\) | −1.18698 | − | 0.318049i | −0.209830 | − | 0.0562237i | ||||
\(33\) | 2.34044 | + | 5.24617i | 0.407418 | + | 0.913242i | ||||
\(34\) | −1.72220 | + | 1.72220i | −0.295354 | + | 0.295354i | ||||
\(35\) | 0.320524 | + | 1.50795i | 0.0541784 | + | 0.254889i | ||||
\(36\) | −0.587491 | + | 0.289013i | −0.0979151 | + | 0.0481688i | ||||
\(37\) | −4.20315 | + | 10.9496i | −0.690994 | + | 1.80010i | −0.0975406 | + | 0.995232i | \(0.531098\pi\) |
−0.593453 | + | 0.804869i | \(0.702236\pi\) | |||||||
\(38\) | 2.77294 | + | 8.53423i | 0.449830 | + | 1.38443i | ||||
\(39\) | −1.62837 | − | 6.02896i | −0.260748 | − | 0.965407i | ||||
\(40\) | −1.89983 | − | 1.38031i | −0.300389 | − | 0.218246i | ||||
\(41\) | −8.07932 | − | 6.54250i | −1.26178 | − | 1.02177i | −0.998369 | − | 0.0570824i | \(-0.981820\pi\) |
−0.263408 | − | 0.964685i | \(-0.584846\pi\) | |||||||
\(42\) | 3.54610 | + | 2.76083i | 0.547174 | + | 0.426005i | ||||
\(43\) | 8.99146 | − | 5.19122i | 1.37118 | − | 0.791654i | 0.380107 | − | 0.924942i | \(-0.375887\pi\) |
0.991077 | + | 0.133289i | \(0.0425537\pi\) | |||||||
\(44\) | −0.0245723 | − | 0.723416i | −0.00370441 | − | 0.109059i | ||||
\(45\) | −2.36950 | + | 0.215418i | −0.353225 | + | 0.0321127i | ||||
\(46\) | −1.43123 | + | 2.20389i | −0.211023 | + | 0.324946i | ||||
\(47\) | 0.825821 | + | 0.130797i | 0.120458 | + | 0.0190787i | 0.216373 | − | 0.976311i | \(-0.430577\pi\) |
−0.0959141 | + | 0.995390i | \(0.530577\pi\) | |||||||
\(48\) | −6.07412 | + | 0.435113i | −0.876724 | + | 0.0628032i | ||||
\(49\) | 0.669793 | − | 3.15113i | 0.0956847 | − | 0.450161i | ||||
\(50\) | 3.17771 | + | 4.89324i | 0.449396 | + | 0.692009i | ||||
\(51\) | 1.38058 | − | 2.84285i | 0.193319 | − | 0.398078i | ||||
\(52\) | −0.0956644 | + | 0.781053i | −0.0132663 | + | 0.108313i | ||||
\(53\) | 7.40082 | + | 2.40467i | 1.01658 | + | 0.330307i | 0.769472 | − | 0.638681i | \(-0.220519\pi\) |
0.247109 | + | 0.968988i | \(0.420519\pi\) | |||||||
\(54\) | −4.87940 | + | 4.92939i | −0.664003 | + | 0.670804i | ||||
\(55\) | 0.858739 | − | 2.48626i | 0.115792 | − | 0.335248i | ||||
\(56\) | −2.87781 | − | 4.98451i | −0.384563 | − | 0.666083i | ||||
\(57\) | −7.02319 | − | 9.28723i | −0.930244 | − | 1.23012i | ||||
\(58\) | 0.312912 | + | 0.815163i | 0.0410873 | + | 0.107036i | ||||
\(59\) | 5.37872 | − | 4.35560i | 0.700249 | − | 0.567051i | −0.211709 | − | 0.977333i | \(-0.567903\pi\) |
0.911959 | + | 0.410282i | \(0.134570\pi\) | |||||||
\(60\) | 0.286845 | + | 0.0871648i | 0.0370315 | + | 0.0112529i | ||||
\(61\) | 0.400134 | − | 0.444394i | 0.0512320 | − | 0.0568989i | −0.716984 | − | 0.697090i | \(-0.754478\pi\) |
0.768216 | + | 0.640191i | \(0.221145\pi\) | |||||||
\(62\) | −3.78717 | + | 1.68616i | −0.480971 | + | 0.214142i | ||||
\(63\) | −5.52020 | − | 1.87980i | −0.695480 | − | 0.236833i | ||||
\(64\) | 8.24762 | + | 2.67981i | 1.03095 | + | 0.334977i | ||||
\(65\) | −1.34171 | + | 2.52522i | −0.166419 | + | 0.313215i | ||||
\(66\) | −2.75330 | − | 7.15663i | −0.338908 | − | 0.880920i | ||||
\(67\) | −5.33401 | + | 1.42924i | −0.651653 | + | 0.174610i | −0.569476 | − | 0.822008i | \(-0.692854\pi\) |
−0.0821769 | + | 0.996618i | \(0.526187\pi\) | |||||||
\(68\) | −0.295930 | + | 0.266457i | −0.0358868 | + | 0.0323126i | ||||
\(69\) | 0.819297 | − | 3.30996i | 0.0986318 | − | 0.398473i | ||||
\(70\) | −0.321913 | − | 2.03248i | −0.0384759 | − | 0.242927i | ||||
\(71\) | 0.769121 | + | 14.6757i | 0.0912779 | + | 1.74169i | 0.534407 | + | 0.845228i | \(0.320535\pi\) |
−0.443129 | + | 0.896458i | \(0.646132\pi\) | |||||||
\(72\) | 8.16491 | − | 3.49858i | 0.962244 | − | 0.412312i | ||||
\(73\) | 3.61687 | − | 0.572855i | 0.423322 | − | 0.0670477i | 0.0588609 | − | 0.998266i | \(-0.481253\pi\) |
0.364461 | + | 0.931219i | \(0.381253\pi\) | |||||||
\(74\) | 6.36771 | − | 14.3021i | 0.740231 | − | 1.66259i | ||||
\(75\) | −5.97378 | − | 4.65091i | −0.689793 | − | 0.537041i | ||||
\(76\) | 0.379727 | + | 1.41716i | 0.0435577 | + | 0.162560i | ||||
\(77\) | 4.40130 | − | 4.71081i | 0.501575 | − | 0.536847i | ||||
\(78\) | 1.74943 | + | 8.15034i | 0.198084 | + | 0.922844i | ||||
\(79\) | −1.64803 | + | 5.07212i | −0.185418 | + | 0.570659i | −0.999955 | − | 0.00945288i | \(-0.996991\pi\) |
0.814537 | + | 0.580111i | \(0.196991\pi\) | |||||||
\(80\) | 2.16701 | + | 1.75481i | 0.242279 | + | 0.196193i | ||||
\(81\) | 3.89029 | − | 8.11577i | 0.432254 | − | 0.901752i | ||||
\(82\) | 10.3126 | + | 9.28554i | 1.13884 | + | 1.02542i | ||||
\(83\) | −11.9663 | − | 6.09714i | −1.31347 | − | 0.669248i | −0.349924 | − | 0.936778i | \(-0.613793\pi\) |
−0.963550 | + | 0.267530i | \(0.913793\pi\) | |||||||
\(84\) | 0.555368 | + | 0.481120i | 0.0605956 | + | 0.0524945i | ||||
\(85\) | −1.35098 | + | 0.518592i | −0.146534 | + | 0.0562492i | ||||
\(86\) | −12.3482 | + | 6.29173i | −1.33154 | + | 0.678455i | ||||
\(87\) | −0.729750 | − | 0.866688i | −0.0782374 | − | 0.0929187i | ||||
\(88\) | −0.180744 | + | 9.81875i | −0.0192673 | + | 1.04668i | ||||
\(89\) | −0.791818 | + | 0.212167i | −0.0839326 | + | 0.0224897i | −0.300541 | − | 0.953769i | \(-0.597167\pi\) |
0.216608 | + | 0.976259i | \(0.430501\pi\) | |||||||
\(90\) | 3.17358 | − | 0.121620i | 0.334525 | − | 0.0128198i | ||||
\(91\) | −5.52154 | + | 4.31656i | −0.578815 | + | 0.452499i | ||||
\(92\) | −0.252543 | + | 0.347596i | −0.0263295 | + | 0.0362394i | ||||
\(93\) | 3.92789 | − | 3.67531i | 0.407303 | − | 0.381112i | ||||
\(94\) | −1.09168 | − | 0.232043i | −0.112598 | − | 0.0239334i | ||||
\(95\) | −0.557303 | + | 5.30239i | −0.0571781 | + | 0.544013i | ||||
\(96\) | −2.12804 | + | 0.0407609i | −0.217192 | + | 0.00416014i | ||||
\(97\) | 12.3104 | + | 7.99448i | 1.24993 | + | 0.811717i | 0.988162 | − | 0.153413i | \(-0.0490265\pi\) |
0.261772 | + | 0.965130i | \(0.415693\pi\) | |||||||
\(98\) | −1.11297 | + | 4.15365i | −0.112427 | + | 0.419582i | ||||
\(99\) | 6.41427 | + | 7.60639i | 0.644658 | + | 0.764471i | ||||
\(100\) | 0.476973 | + | 0.826141i | 0.0476973 | + | 0.0826141i | ||||
\(101\) | 8.01163 | + | 8.89782i | 0.797187 | + | 0.885366i | 0.995499 | − | 0.0947732i | \(-0.0302126\pi\) |
−0.198312 | + | 0.980139i | \(0.563546\pi\) | |||||||
\(102\) | −2.03890 | + | 3.69305i | −0.201881 | + | 0.365667i | ||||
\(103\) | −0.981513 | + | 1.35094i | −0.0967113 | + | 0.133112i | −0.854630 | − | 0.519237i | \(-0.826216\pi\) |
0.757919 | + | 0.652349i | \(0.226216\pi\) | |||||||
\(104\) | 1.85071 | − | 10.5143i | 0.181477 | − | 1.03101i | ||||
\(105\) | 1.25758 | + | 2.35550i | 0.122727 | + | 0.229874i | ||||
\(106\) | −9.69727 | − | 3.72243i | −0.941882 | − | 0.361555i | ||||
\(107\) | 8.14856 | − | 0.856448i | 0.787751 | − | 0.0827959i | 0.297894 | − | 0.954599i | \(-0.403716\pi\) |
0.489857 | + | 0.871803i | \(0.337049\pi\) | |||||||
\(108\) | −0.838870 | + | 0.763098i | −0.0807203 | + | 0.0734291i | ||||
\(109\) | 5.59011 | + | 5.59011i | 0.535435 | + | 0.535435i | 0.922185 | − | 0.386750i | \(-0.126402\pi\) |
−0.386750 | + | 0.922185i | \(0.626402\pi\) | |||||||
\(110\) | −1.31838 | + | 3.25419i | −0.125703 | + | 0.310274i | ||||
\(111\) | −1.73615 | + | 20.2402i | −0.164788 | + | 1.92111i | ||||
\(112\) | 3.10270 | + | 6.08938i | 0.293177 | + | 0.575393i | ||||
\(113\) | −7.39538 | + | 16.6103i | −0.695699 | + | 1.56257i | 0.125609 | + | 0.992080i | \(0.459912\pi\) |
−0.821308 | + | 0.570486i | \(0.806755\pi\) | |||||||
\(114\) | 8.71308 | + | 12.8705i | 0.816055 | + | 1.20543i | ||||
\(115\) | −1.30945 | + | 0.850368i | −0.122107 | + | 0.0792973i | ||||
\(116\) | 0.0441157 | + | 0.135774i | 0.00409604 | + | 0.0126063i | ||||
\(117\) | −5.60522 | − | 9.25103i | −0.518203 | − | 0.855258i | ||||
\(118\) | −7.47408 | + | 5.43024i | −0.688045 | + | 0.499894i | ||||
\(119\) | −3.54190 | − | 0.185623i | −0.324685 | − | 0.0170160i | ||||
\(120\) | −3.82447 | − | 1.38464i | −0.349125 | − | 0.126400i | ||||
\(121\) | −10.5796 | + | 3.01186i | −0.961785 | + | 0.273805i | ||||
\(122\) | −0.564422 | + | 0.564422i | −0.0511004 | + | 0.0511004i | ||||
\(123\) | −16.5871 | − | 7.00759i | −1.49561 | − | 0.631853i | ||||
\(124\) | −0.632782 | + | 0.242902i | −0.0568255 | + | 0.0218133i | ||||
\(125\) | 1.16263 | + | 7.34056i | 0.103989 | + | 0.656560i | ||||
\(126\) | 7.22708 | + | 2.89141i | 0.643839 | + | 0.257587i | ||||
\(127\) | −2.24413 | + | 10.5578i | −0.199134 | + | 0.936853i | 0.759123 | + | 0.650947i | \(0.225628\pi\) |
−0.958258 | + | 0.285906i | \(0.907705\pi\) | |||||||
\(128\) | −8.51237 | − | 3.26759i | −0.752394 | − | 0.288817i | ||||
\(129\) | 12.4700 | − | 12.9570i | 1.09792 | − | 1.14080i | ||||
\(130\) | 1.96491 | − | 3.27237i | 0.172334 | − | 0.287006i | ||||
\(131\) | 11.3290i | 0.989821i | 0.868944 | + | 0.494910i | \(0.164799\pi\) | ||||
−0.868944 | + | 0.494910i | \(0.835201\pi\) | |||||||
\(132\) | −0.388309 | − | 1.19207i | −0.0337979 | − | 0.103756i | ||||
\(133\) | −6.53374 | + | 11.3168i | −0.566547 | + | 0.981288i | ||||
\(134\) | 7.21006 | − | 1.53254i | 0.622854 | − | 0.132392i | ||||
\(135\) | −3.83973 | + | 1.49643i | −0.330472 | + | 0.128792i | ||||
\(136\) | 4.19865 | − | 3.40000i | 0.360031 | − | 0.291547i | ||||
\(137\) | 11.6068 | − | 0.608287i | 0.991637 | − | 0.0519695i | 0.450389 | − | 0.892832i | \(-0.351285\pi\) |
0.541248 | + | 0.840863i | \(0.317952\pi\) | |||||||
\(138\) | −1.32335 | + | 4.35493i | −0.112651 | + | 0.370716i | ||||
\(139\) | 1.77703 | − | 16.9073i | 0.150726 | − | 1.43406i | −0.613798 | − | 0.789463i | \(-0.710359\pi\) |
0.764524 | − | 0.644595i | \(-0.222974\pi\) | |||||||
\(140\) | −0.0351689 | − | 0.334609i | −0.00297231 | − | 0.0282796i | ||||
\(141\) | 1.43710 | − | 0.178932i | 0.121025 | − | 0.0150688i | ||||
\(142\) | − | 19.6164i | − | 1.64617i | ||||||
\(143\) | 11.8701 | − | 1.44958i | 0.992626 | − | 0.121220i | ||||
\(144\) | −9.89923 | + | 3.64116i | −0.824936 | + | 0.303430i | ||||
\(145\) | −0.0271514 | + | 0.518079i | −0.00225480 | + | 0.0430241i | ||||
\(146\) | −4.86128 | + | 0.510942i | −0.402323 | + | 0.0422858i | ||||
\(147\) | −0.398685 | − | 5.56559i | −0.0328830 | − | 0.459042i | ||||
\(148\) | 1.16208 | − | 2.28070i | 0.0955221 | − | 0.187473i | ||||
\(149\) | 0.690378 | + | 13.1732i | 0.0565580 | + | 1.07919i | 0.868575 | + | 0.495557i | \(0.165036\pi\) |
−0.812017 | + | 0.583633i | \(0.801631\pi\) | |||||||
\(150\) | 7.63811 | + | 6.61697i | 0.623649 | + | 0.540273i | ||||
\(151\) | 1.16042 | − | 7.32658i | 0.0944333 | − | 0.596228i | −0.894408 | − | 0.447253i | \(-0.852402\pi\) |
0.988841 | − | 0.148976i | \(-0.0475976\pi\) | |||||||
\(152\) | −4.13853 | − | 19.4702i | −0.335679 | − | 1.57925i | ||||
\(153\) | 0.932210 | − | 5.39391i | 0.0753647 | − | 0.436072i | ||||
\(154\) | −6.19601 | + | 5.97202i | −0.499288 | + | 0.481239i | ||||
\(155\) | −2.46311 | −0.197842 | ||||||||
\(156\) | 0.215898 | + | 1.34572i | 0.0172857 | + | 0.107744i | ||||
\(157\) | 7.81659 | − | 5.67909i | 0.623832 | − | 0.453240i | −0.230426 | − | 0.973090i | \(-0.574012\pi\) |
0.854258 | + | 0.519849i | \(0.174012\pi\) | |||||||
\(158\) | 2.55116 | − | 6.64599i | 0.202959 | − | 0.528726i | ||||
\(159\) | 13.4708 | + | 0.447504i | 1.06831 | + | 0.0354894i | ||||
\(160\) | 0.724260 | + | 0.652127i | 0.0572578 | + | 0.0515552i | ||||
\(161\) | −3.77966 | + | 0.598640i | −0.297879 | + | 0.0471794i | ||||
\(162\) | −5.75270 | + | 10.5465i | −0.451975 | + | 0.828611i | ||||
\(163\) | 4.90939 | − | 7.55980i | 0.384533 | − | 0.592130i | −0.592408 | − | 0.805638i | \(-0.701823\pi\) |
0.976941 | + | 0.213509i | \(0.0684892\pi\) | |||||||
\(164\) | 1.60435 | + | 1.60435i | 0.125279 | + | 0.125279i | ||||
\(165\) | 0.235047 | − | 4.54990i | 0.0182984 | − | 0.354209i | ||||
\(166\) | 15.5251 | + | 8.96342i | 1.20498 | + | 0.695696i | ||||
\(167\) | −0.0965420 | + | 1.84213i | −0.00747064 | + | 0.142548i | 0.992347 | + | 0.123477i | \(0.0394044\pi\) |
−0.999818 | + | 0.0190717i | \(0.993929\pi\) | |||||||
\(168\) | −7.18286 | − | 6.91287i | −0.554170 | − | 0.533339i | ||||
\(169\) | −12.9923 | − | 0.445930i | −0.999412 | − | 0.0343023i | ||||
\(170\) | 1.83708 | − | 0.596902i | 0.140897 | − | 0.0457803i | ||||
\(171\) | −16.1477 | − | 12.0824i | −1.23485 | − | 0.923964i | ||||
\(172\) | −2.07001 | + | 0.921626i | −0.157837 | + | 0.0702734i | ||||
\(173\) | −13.8068 | − | 6.14717i | −1.04971 | − | 0.467361i | −0.191946 | − | 0.981406i | \(-0.561480\pi\) |
−0.857763 | + | 0.514045i | \(0.828146\pi\) | |||||||
\(174\) | 0.912207 | + | 1.20627i | 0.0691542 | + | 0.0914472i | ||||
\(175\) | −2.19905 | + | 8.20698i | −0.166233 | + | 0.620389i | ||||
\(176\) | 0.824502 | − | 11.6317i | 0.0621491 | − | 0.876771i | ||||
\(177\) | 6.85919 | − | 9.83143i | 0.515568 | − | 0.738976i | ||||
\(178\) | 1.07031 | − | 0.227502i | 0.0802233 | − | 0.0170520i | ||||
\(179\) | 0.0552011 | + | 0.525204i | 0.00412592 | + | 0.0392556i | 0.996391 | − | 0.0848803i | \(-0.0270508\pi\) |
−0.992265 | + | 0.124136i | \(0.960384\pi\) | |||||||
\(180\) | 0.519211 | + | 0.00729857i | 0.0386997 | + | 0.000544003i | ||||
\(181\) | 14.3397 | − | 4.65925i | 1.06586 | − | 0.346320i | 0.276987 | − | 0.960874i | \(-0.410664\pi\) |
0.788875 | + | 0.614554i | \(0.210664\pi\) | |||||||
\(182\) | 7.66174 | − | 5.36822i | 0.567926 | − | 0.397919i | ||||
\(183\) | 0.452462 | − | 0.931697i | 0.0334469 | − | 0.0688731i | ||||
\(184\) | 3.66843 | − | 4.53013i | 0.270440 | − | 0.333966i | ||||
\(185\) | 6.91262 | − | 6.22415i | 0.508226 | − | 0.457609i | ||||
\(186\) | −5.49261 | + | 4.62477i | −0.402738 | + | 0.339105i | ||||
\(187\) | 5.01377 | + | 3.38879i | 0.366643 | + | 0.247813i | ||||
\(188\) | −0.176259 | − | 0.0472285i | −0.0128550 | − | 0.00344449i | ||||
\(189\) | −10.0892 | − | 0.477210i | −0.733878 | − | 0.0347119i | ||||
\(190\) | 1.11330 | − | 7.02912i | 0.0807675 | − | 0.509946i | ||||
\(191\) | −3.92384 | − | 0.412412i | −0.283919 | − | 0.0298411i | −0.0385013 | − | 0.999259i | \(-0.512258\pi\) |
−0.245417 | + | 0.969417i | \(0.578925\pi\) | |||||||
\(192\) | 15.0122 | + | 0.498707i | 1.08341 | + | 0.0359911i | ||||
\(193\) | −11.2930 | + | 7.33375i | −0.812887 | + | 0.527895i | −0.882850 | − | 0.469655i | \(-0.844378\pi\) |
0.0699632 | + | 0.997550i | \(0.477712\pi\) | |||||||
\(194\) | −15.8512 | − | 11.5166i | −1.13805 | − | 0.826844i | ||||
\(195\) | −1.02008 | + | 4.84667i | −0.0730493 | + | 0.347077i | ||||
\(196\) | −0.217263 | + | 0.668668i | −0.0155188 | + | 0.0477620i | ||||
\(197\) | 1.44550 | + | 5.39466i | 0.102987 | + | 0.384354i | 0.998109 | − | 0.0614679i | \(-0.0195782\pi\) |
−0.895122 | + | 0.445822i | \(0.852912\pi\) | |||||||
\(198\) | −8.01881 | − | 10.5874i | −0.569872 | − | 0.752412i | ||||
\(199\) | 10.7642 | − | 6.21471i | 0.763053 | − | 0.440549i | −0.0673378 | − | 0.997730i | \(-0.521451\pi\) |
0.830391 | + | 0.557181i | \(0.188117\pi\) | |||||||
\(200\) | −5.87573 | − | 11.5318i | −0.415477 | − | 0.815419i | ||||
\(201\) | −8.19016 | + | 4.94010i | −0.577689 | + | 0.348448i | ||||
\(202\) | −10.0579 | − | 12.4204i | −0.707669 | − | 0.873899i | ||||
\(203\) | −0.577263 | + | 1.13294i | −0.0405159 | + | 0.0795169i | ||||
\(204\) | −0.364505 | + | 0.585540i | −0.0255204 | + | 0.0409960i | ||||
\(205\) | 3.35358 | + | 7.53226i | 0.234224 | + | 0.526076i | ||||
\(206\) | 1.40273 | − | 1.73222i | 0.0977326 | − | 0.120690i | ||||
\(207\) | −0.226168 | − | 5.90171i | −0.0157198 | − | 0.410197i | ||||
\(208\) | −2.84794 | + | 12.3526i | −0.197469 | + | 0.856502i | ||||
\(209\) | 19.5109 | − | 10.7908i | 1.34960 | − | 0.746416i | ||||
\(210\) | −1.51180 | − | 3.22773i | −0.104324 | − | 0.222735i | ||||
\(211\) | −1.11567 | − | 1.23908i | −0.0768058 | − | 0.0853015i | 0.703517 | − | 0.710678i | \(-0.251612\pi\) |
−0.780323 | + | 0.625377i | \(0.784945\pi\) | |||||||
\(212\) | −1.55148 | − | 0.690763i | −0.106556 | − | 0.0474418i | ||||
\(213\) | 8.32786 | + | 24.0531i | 0.570616 | + | 1.64809i | ||||
\(214\) | −10.9218 | + | 0.572388i | −0.746600 | + | 0.0391276i | ||||
\(215\) | −8.22294 | + | 0.430946i | −0.560800 | + | 0.0293903i | ||||
\(216\) | 11.9074 | − | 9.74329i | 0.810195 | − | 0.662947i | ||||
\(217\) | −5.51504 | − | 2.45545i | −0.374385 | − | 0.166687i | ||||
\(218\) | −7.06106 | − | 7.84211i | −0.478236 | − | 0.531135i | ||||
\(219\) | 5.74386 | − | 2.69030i | 0.388134 | − | 0.181793i | ||||
\(220\) | −0.243106 | + | 0.520049i | −0.0163902 | + | 0.0350617i | ||||
\(221\) | −4.81275 | − | 4.48528i | −0.323741 | − | 0.301712i | ||||
\(222\) | 3.72824 | − | 26.8588i | 0.250223 | − | 1.80264i | ||||
\(223\) | −5.14775 | + | 6.35694i | −0.344719 | + | 0.425692i | −0.919790 | − | 0.392411i | \(-0.871641\pi\) |
0.575071 | + | 0.818103i | \(0.304974\pi\) | |||||||
\(224\) | 0.971560 | + | 2.18216i | 0.0649151 | + | 0.145802i | ||||
\(225\) | −12.1748 | − | 4.87089i | −0.811653 | − | 0.324726i | ||||
\(226\) | 11.0184 | − | 21.6248i | 0.732932 | − | 1.43846i | ||||
\(227\) | 1.19021 | + | 1.46979i | 0.0789973 | + | 0.0975535i | 0.815112 | − | 0.579303i | \(-0.196675\pi\) |
−0.736115 | + | 0.676856i | \(0.763342\pi\) | |||||||
\(228\) | 1.31251 | + | 2.17600i | 0.0869228 | + | 0.144109i | ||||
\(229\) | −10.7402 | − | 21.0789i | −0.709734 | − | 1.39293i | −0.910590 | − | 0.413311i | \(-0.864372\pi\) |
0.200855 | − | 0.979621i | \(-0.435628\pi\) | |||||||
\(230\) | 1.80490 | − | 1.04206i | 0.119012 | − | 0.0687114i | ||||
\(231\) | 5.06204 | − | 9.95316i | 0.333058 | − | 0.654870i | ||||
\(232\) | −0.501300 | − | 1.87088i | −0.0329120 | − | 0.122829i | ||||
\(233\) | −0.383743 | + | 1.18104i | −0.0251398 | + | 0.0773725i | −0.962839 | − | 0.270075i | \(-0.912951\pi\) |
0.937699 | + | 0.347447i | \(0.112951\pi\) | |||||||
\(234\) | 6.82546 | + | 12.7232i | 0.446194 | + | 0.831738i | ||||
\(235\) | −0.536472 | − | 0.389770i | −0.0349956 | − | 0.0254258i | ||||
\(236\) | −1.26680 | + | 0.822673i | −0.0824620 | + | 0.0535514i | ||||
\(237\) | −0.306695 | + | 9.23219i | −0.0199220 | + | 0.599695i | ||||
\(238\) | 4.70837 | + | 0.494869i | 0.305198 | + | 0.0320776i | ||||
\(239\) | 3.99553 | − | 25.2268i | 0.258449 | − | 1.63179i | −0.427415 | − | 0.904056i | \(-0.640576\pi\) |
0.685864 | − | 0.727730i | \(-0.259424\pi\) | |||||||
\(240\) | 4.44894 | + | 1.87955i | 0.287178 | + | 0.121325i | ||||
\(241\) | 21.5575 | + | 5.77632i | 1.38864 | + | 0.372086i | 0.874253 | − | 0.485471i | \(-0.161352\pi\) |
0.514390 | + | 0.857556i | \(0.328018\pi\) | |||||||
\(242\) | 14.3130 | − | 3.27571i | 0.920075 | − | 0.210570i | ||||
\(243\) | 2.57643 | − | 15.3741i | 0.165278 | − | 0.986247i | ||||
\(244\) | −0.0969864 | + | 0.0873269i | −0.00620892 | + | 0.00559053i | ||||
\(245\) | −1.60789 | + | 1.98558i | −0.102724 | + | 0.126854i | ||||
\(246\) | 21.6210 | + | 10.4998i | 1.37851 | + | 0.669446i | ||||
\(247\) | −22.7742 | + | 8.29685i | −1.44909 | + | 0.527916i | ||||
\(248\) | 8.74581 | − | 2.84169i | 0.555360 | − | 0.180447i | ||||
\(249\) | −22.8418 | − | 4.39974i | −1.44754 | − | 0.278822i | ||||
\(250\) | −1.03697 | − | 9.86616i | −0.0655840 | − | 0.623991i | ||||
\(251\) | −2.60686 | + | 0.554105i | −0.164544 | + | 0.0349748i | −0.289447 | − | 0.957194i | \(-0.593471\pi\) |
0.124903 | + | 0.992169i | \(0.460138\pi\) | |||||||
\(252\) | 1.15527 | + | 0.533939i | 0.0727750 | + | 0.0336350i | ||||
\(253\) | 6.05160 | + | 2.45171i | 0.380461 | + | 0.154138i | ||||
\(254\) | 3.72897 | − | 13.9167i | 0.233977 | − | 0.873212i | ||||
\(255\) | −1.99917 | + | 1.51181i | −0.125193 | + | 0.0946733i | ||||
\(256\) | −4.72597 | − | 2.10414i | −0.295373 | − | 0.131509i | ||||
\(257\) | −15.9368 | + | 7.09550i | −0.994108 | + | 0.442605i | −0.838316 | − | 0.545184i | \(-0.816460\pi\) |
−0.155792 | + | 0.987790i | \(0.549793\pi\) | |||||||
\(258\) | −17.5276 | + | 16.4005i | −1.09122 | + | 1.02105i | ||||
\(259\) | 21.6825 | − | 7.04509i | 1.34729 | − | 0.437760i | ||||
\(260\) | 0.348824 | − | 0.517486i | 0.0216331 | − | 0.0320931i | ||||
\(261\) | −1.63063 | − | 1.09183i | −0.100933 | − | 0.0675827i | ||||
\(262\) | 0.791437 | − | 15.1015i | 0.0488952 | − | 0.932975i | ||||
\(263\) | −10.8840 | − | 6.28387i | −0.671135 | − | 0.387480i | 0.125372 | − | 0.992110i | \(-0.459988\pi\) |
−0.796507 | + | 0.604630i | \(0.793321\pi\) | |||||||
\(264\) | 4.41463 | + | 16.4266i | 0.271701 | + | 1.01099i | ||||
\(265\) | −4.36397 | − | 4.36397i | −0.268077 | − | 0.268077i | ||||
\(266\) | 9.50002 | − | 14.6288i | 0.582484 | − | 0.896946i | ||||
\(267\) | −1.21580 | + | 0.733343i | −0.0744061 | + | 0.0448799i | ||||
\(268\) | 1.19034 | − | 0.188532i | 0.0727118 | − | 0.0115164i | ||||
\(269\) | −1.59988 | − | 1.44054i | −0.0975464 | − | 0.0878312i | 0.618915 | − | 0.785458i | \(-0.287573\pi\) |
−0.716461 | + | 0.697627i | \(0.754239\pi\) | |||||||
\(270\) | 5.22288 | − | 1.72649i | 0.317855 | − | 0.105071i | ||||
\(271\) | 3.79751 | − | 9.89286i | 0.230682 | − | 0.600948i | −0.768564 | − | 0.639773i | \(-0.779028\pi\) |
0.999246 | + | 0.0388251i | \(0.0123615\pi\) | |||||||
\(272\) | −5.18998 | + | 3.77074i | −0.314689 | + | 0.228635i | ||||
\(273\) | −7.11562 | + | 9.83506i | −0.430657 | + | 0.595245i | ||||
\(274\) | −15.5143 | −0.937255 | ||||||||
\(275\) | 10.4378 | − | 10.0605i | 0.629426 | − | 0.606672i | ||||
\(276\) | −0.253336 | + | 0.699732i | −0.0152491 | + | 0.0421189i | ||||
\(277\) | 3.61477 | + | 17.0062i | 0.217191 | + | 1.02180i | 0.942714 | + | 0.333603i | \(0.108265\pi\) |
−0.725523 | + | 0.688198i | \(0.758402\pi\) | |||||||
\(278\) | −3.54990 | + | 22.4132i | −0.212909 | + | 1.34425i | ||||
\(279\) | 4.77151 | − | 8.00259i | 0.285663 | − | 0.479102i | ||||
\(280\) | 0.238899 | + | 4.55847i | 0.0142770 | + | 0.272421i | ||||
\(281\) | 9.90259 | − | 19.4349i | 0.590739 | − | 1.15939i | −0.381274 | − | 0.924462i | \(-0.624515\pi\) |
0.972013 | − | 0.234928i | \(-0.0754855\pi\) | |||||||
\(282\) | −1.92814 | + | 0.138120i | −0.114819 | + | 0.00822495i | ||||
\(283\) | 6.54902 | − | 0.688330i | 0.389299 | − | 0.0409170i | 0.0921427 | − | 0.995746i | \(-0.470628\pi\) |
0.297156 | + | 0.954829i | \(0.403962\pi\) | |||||||
\(284\) | 0.167856 | − | 3.20288i | 0.00996042 | − | 0.190056i | ||||
\(285\) | 1.61901 | + | 9.09156i | 0.0959022 | + | 0.538537i | ||||
\(286\) | −15.9240 | + | 1.10305i | −0.941607 | + | 0.0652249i | ||||
\(287\) | 20.2083i | 1.19286i | ||||||||
\(288\) | −3.52178 | + | 1.08981i | −0.207523 | + | 0.0642177i | ||||
\(289\) | 1.42898 | + | 13.5959i | 0.0840578 | + | 0.799756i | ||||
\(290\) | 0.0723853 | − | 0.688700i | 0.00425061 | − | 0.0404419i | ||||
\(291\) | 24.3256 | + | 7.39192i | 1.42599 | + | 0.433322i | ||||
\(292\) | −0.798103 | + | 0.0418268i | −0.0467055 | + | 0.00244773i | ||||
\(293\) | −17.9987 | + | 14.5750i | −1.05149 | + | 0.851483i | −0.989200 | − | 0.146575i | \(-0.953175\pi\) |
−0.0622943 | + | 0.998058i | \(0.519842\pi\) | |||||||
\(294\) | 0.142637 | + | 7.44675i | 0.00831874 | + | 0.434303i | ||||
\(295\) | −5.36913 | + | 1.14124i | −0.312603 | + | 0.0664458i | ||||
\(296\) | −17.3640 | + | 30.0753i | −1.00926 | + | 1.74809i | ||||
\(297\) | 14.3272 | + | 9.57768i | 0.831347 | + | 0.555753i | ||||
\(298\) | − | 17.6080i | − | 1.02001i | ||||||
\(299\) | −6.08542 | − | 3.65401i | −0.351929 | − | 0.211317i | ||||
\(300\) | 1.19050 | + | 1.14575i | 0.0687336 | + | 0.0661500i | ||||
\(301\) | −18.8412 | − | 7.23247i | −1.08599 | − | 0.416873i | ||||
\(302\) | −2.05866 | + | 9.68523i | −0.118462 | + | 0.557322i | ||||
\(303\) | 17.6056 | + | 10.9597i | 1.01142 | + | 0.629617i | ||||
\(304\) | 3.69743 | + | 23.3447i | 0.212062 | + | 1.33891i | ||||
\(305\) | −0.442762 | + | 0.169960i | −0.0253525 | + | 0.00973190i | ||||
\(306\) | −1.61945 | + | 7.12493i | −0.0925775 | + | 0.407305i | ||||
\(307\) | 0.465132 | − | 0.465132i | 0.0265465 | − | 0.0265465i | −0.693709 | − | 0.720255i | \(-0.744025\pi\) |
0.720255 | + | 0.693709i | \(0.244025\pi\) | |||||||
\(308\) | −1.06276 | + | 0.922068i | −0.0605565 | + | 0.0525397i | ||||
\(309\) | −0.984594 | + | 2.71951i | −0.0560116 | + | 0.154708i | ||||
\(310\) | 3.28331 | + | 0.172071i | 0.186480 | + | 0.00977298i | ||||
\(311\) | −1.31555 | + | 0.955804i | −0.0745981 | + | 0.0541987i | −0.624459 | − | 0.781057i | \(-0.714681\pi\) |
0.549861 | + | 0.835256i | \(0.314681\pi\) | |||||||
\(312\) | −1.96959 | − | 18.3860i | −0.111506 | − | 1.04090i | ||||
\(313\) | −1.58388 | − | 4.87469i | −0.0895264 | − | 0.275534i | 0.896262 | − | 0.443525i | \(-0.146272\pi\) |
−0.985789 | + | 0.167991i | \(0.946272\pi\) | |||||||
\(314\) | −10.8162 | + | 7.02413i | −0.610394 | + | 0.396395i | ||||
\(315\) | 3.22401 | + | 3.31594i | 0.181652 | + | 0.186832i | ||||
\(316\) | 0.473412 | − | 1.06330i | 0.0266315 | − | 0.0598153i | ||||
\(317\) | 7.98090 | + | 15.6634i | 0.448252 | + | 0.879744i | 0.998984 | + | 0.0450619i | \(0.0143485\pi\) |
−0.550732 | + | 0.834682i | \(0.685651\pi\) | |||||||
\(318\) | −17.9253 | − | 1.53758i | −1.00520 | − | 0.0862234i | ||||
\(319\) | 1.84096 | − | 1.14792i | 0.103074 | − | 0.0642712i | ||||
\(320\) | −4.86329 | − | 4.86329i | −0.271866 | − | 0.271866i | ||||
\(321\) | 13.1490 | − | 5.33855i | 0.733908 | − | 0.297969i | ||||
\(322\) | 5.08009 | − | 0.533939i | 0.283103 | − | 0.0297553i | ||||
\(323\) | −11.4514 | − | 4.39578i | −0.637173 | − | 0.244588i | ||||
\(324\) | −1.02952 | + | 1.67277i | −0.0571957 | + | 0.0929314i | ||||
\(325\) | −12.9070 | + | 9.04336i | −0.715954 | + | 0.501635i | ||||
\(326\) | −7.07232 | + | 9.73421i | −0.391700 | + | 0.539128i | ||||
\(327\) | 11.9873 | + | 6.61810i | 0.662902 | + | 0.365982i | ||||
\(328\) | −20.5976 | − | 22.8759i | −1.13731 | − | 1.26311i | ||||
\(329\) | −0.812633 | − | 1.40752i | −0.0448019 | − | 0.0775991i | ||||
\(330\) | −0.631169 | + | 6.04857i | −0.0347447 | + | 0.332963i | ||||
\(331\) | 6.35567 | − | 23.7197i | 0.349339 | − | 1.30375i | −0.538122 | − | 0.842867i | \(-0.680866\pi\) |
0.887461 | − | 0.460884i | \(-0.152467\pi\) | |||||||
\(332\) | 2.45818 | + | 1.59636i | 0.134910 | + | 0.0876115i | ||||
\(333\) | 6.83106 | + | 34.5163i | 0.374340 | + | 1.89148i | ||||
\(334\) | 0.257380 | − | 2.44881i | 0.0140832 | − | 0.133993i | ||||
\(335\) | 4.28389 | + | 0.910568i | 0.234054 | + | 0.0497496i | ||||
\(336\) | 8.08772 | + | 8.64354i | 0.441221 | + | 0.471544i | ||||
\(337\) | 8.39183 | − | 11.5504i | 0.457132 | − | 0.629188i | −0.516779 | − | 0.856119i | \(-0.672869\pi\) |
0.973911 | + | 0.226931i | \(0.0728690\pi\) | |||||||
\(338\) | 17.2876 | + | 1.50206i | 0.940321 | + | 0.0817013i | ||||
\(339\) | −4.32994 | + | 31.1935i | −0.235170 | + | 1.69420i | ||||
\(340\) | 0.305058 | − | 0.0817401i | 0.0165441 | − | 0.00443298i | ||||
\(341\) | 5.90006 | + | 8.44327i | 0.319506 | + | 0.457229i | ||||
\(342\) | 20.6808 | + | 17.2338i | 1.11829 | + | 0.931900i | ||||
\(343\) | −17.7033 | + | 9.02029i | −0.955890 | + | 0.487050i | ||||
\(344\) | 28.7002 | − | 11.0170i | 1.54741 | − | 0.593995i | ||||
\(345\) | −1.77073 | + | 2.04399i | −0.0953328 | + | 0.110045i | ||||
\(346\) | 17.9749 | + | 9.15868i | 0.966337 | + | 0.492373i | ||||
\(347\) | 21.5669 | + | 19.4189i | 1.15777 | + | 1.04246i | 0.998474 | + | 0.0552292i | \(0.0175889\pi\) |
0.159296 | + | 0.987231i | \(0.449078\pi\) | |||||||
\(348\) | 0.138620 | + | 0.204761i | 0.00743079 | + | 0.0109763i | ||||
\(349\) | 26.2820 | + | 21.2828i | 1.40685 | + | 1.13924i | 0.970961 | + | 0.239239i | \(0.0768978\pi\) |
0.435885 | + | 0.900003i | \(0.356436\pi\) | |||||||
\(350\) | 3.50466 | − | 10.7862i | 0.187332 | − | 0.576549i | ||||
\(351\) | −13.7706 | − | 12.7031i | −0.735022 | − | 0.678043i | ||||
\(352\) | 0.500547 | − | 4.04477i | 0.0266793 | − | 0.215587i | ||||
\(353\) | −2.63162 | − | 9.82133i | −0.140067 | − | 0.522736i | −0.999926 | − | 0.0122044i | \(-0.996115\pi\) |
0.859859 | − | 0.510532i | \(-0.170552\pi\) | |||||||
\(354\) | −9.83008 | + | 12.6261i | −0.522463 | + | 0.671068i | ||||
\(355\) | 4.74058 | − | 10.6475i | 0.251604 | − | 0.565111i | ||||
\(356\) | 0.176703 | − | 0.0279870i | 0.00936524 | − | 0.00148331i | ||||
\(357\) | −5.98336 | + | 1.39208i | −0.316673 | + | 0.0736765i | ||||
\(358\) | −0.0368925 | − | 0.703950i | −0.00194983 | − | 0.0372049i | ||||
\(359\) | −2.42128 | − | 15.2874i | −0.127790 | − | 0.806836i | −0.965439 | − | 0.260628i | \(-0.916071\pi\) |
0.837649 | − | 0.546209i | \(-0.183929\pi\) | |||||||
\(360\) | −7.02942 | − | 0.467554i | −0.370483 | − | 0.0246422i | ||||
\(361\) | −19.4649 | + | 17.5263i | −1.02447 | + | 0.922435i | ||||
\(362\) | −19.4403 | + | 5.20900i | −1.02176 | + | 0.273779i | ||||
\(363\) | −16.1596 | + | 10.0930i | −0.848158 | + | 0.529744i | ||||
\(364\) | 1.29691 | − | 0.810941i | 0.0679768 | − | 0.0425049i | ||||
\(365\) | −2.76212 | − | 0.897466i | −0.144576 | − | 0.0469755i | ||||
\(366\) | −0.668217 | + | 1.21034i | −0.0349283 | + | 0.0632655i | ||||
\(367\) | 7.78182 | − | 3.46469i | 0.406208 | − | 0.180855i | −0.193453 | − | 0.981110i | \(-0.561969\pi\) |
0.599661 | + | 0.800254i | \(0.295302\pi\) | |||||||
\(368\) | −4.63148 | + | 5.14378i | −0.241433 | + | 0.268138i | ||||
\(369\) | −30.9687 | − | 3.69573i | −1.61216 | − | 0.192392i | ||||
\(370\) | −9.64930 | + | 7.81385i | −0.501643 | + | 0.406223i | ||||
\(371\) | −5.42077 | − | 14.1216i | −0.281432 | − | 0.733156i | ||||
\(372\) | −0.936386 | + | 0.708114i | −0.0485494 | + | 0.0367140i | ||||
\(373\) | 1.49657 | + | 2.59213i | 0.0774894 | + | 0.134216i | 0.902166 | − | 0.431389i | \(-0.141976\pi\) |
−0.824677 | + | 0.565604i | \(0.808643\pi\) | |||||||
\(374\) | −6.44660 | − | 4.86750i | −0.333346 | − | 0.251692i | ||||
\(375\) | 5.46005 | + | 11.6574i | 0.281956 | + | 0.601985i | ||||
\(376\) | 2.35454 | + | 0.765036i | 0.121426 | + | 0.0394537i | ||||
\(377\) | −2.17076 | + | 0.922197i | −0.111800 | + | 0.0474956i | ||||
\(378\) | 13.4155 | + | 1.34094i | 0.690017 | + | 0.0689705i | ||||
\(379\) | 11.6623 | + | 17.9584i | 0.599052 | + | 0.922459i | 0.999980 | + | 0.00634928i | \(0.00202105\pi\) |
−0.400928 | + | 0.916110i | \(0.631312\pi\) | |||||||
\(380\) | 0.241923 | − | 1.13816i | 0.0124104 | − | 0.0583864i | ||||
\(381\) | 1.33579 | + | 18.6474i | 0.0684344 | + | 0.955335i | ||||
\(382\) | 5.20164 | + | 0.823859i | 0.266139 | + | 0.0421523i | ||||
\(383\) | 17.7588 | − | 27.3461i | 0.907431 | − | 1.39732i | −0.0102264 | − | 0.999948i | \(-0.503255\pi\) |
0.917657 | − | 0.397373i | \(-0.130078\pi\) | |||||||
\(384\) | −15.7350 | − | 1.34971i | −0.802975 | − | 0.0688770i | ||||
\(385\) | −4.80633 | + | 1.74418i | −0.244953 | + | 0.0888916i | ||||
\(386\) | 15.5658 | − | 8.98693i | 0.792280 | − | 0.457423i | ||||
\(387\) | 14.5293 | − | 27.5510i | 0.738564 | − | 1.40049i | ||||
\(388\) | −2.48958 | − | 2.01602i | −0.126389 | − | 0.102348i | ||||
\(389\) | 9.61526 | + | 6.98590i | 0.487513 | + | 0.354199i | 0.804227 | − | 0.594322i | \(-0.202580\pi\) |
−0.316714 | + | 0.948521i | \(0.602580\pi\) | |||||||
\(390\) | 1.69834 | − | 6.38933i | 0.0859990 | − | 0.323536i | ||||
\(391\) | −1.11002 | − | 3.41629i | −0.0561361 | − | 0.172769i | ||||
\(392\) | 3.41841 | − | 8.90527i | 0.172656 | − | 0.449784i | ||||
\(393\) | 5.44071 | + | 18.8531i | 0.274447 | + | 0.951012i | ||||
\(394\) | −1.54997 | − | 7.29204i | −0.0780864 | − | 0.367368i | ||||
\(395\) | 2.99083 | − | 2.99083i | 0.150485 | − | 0.150485i | ||||
\(396\) | −1.21868 | − | 1.79728i | −0.0612412 | − | 0.0903168i | ||||
\(397\) | −25.6667 | − | 6.87738i | −1.28818 | − | 0.345166i | −0.451209 | − | 0.892418i | \(-0.649007\pi\) |
−0.836968 | + | 0.547252i | \(0.815674\pi\) | |||||||
\(398\) | −14.7828 | + | 7.53219i | −0.740993 | + | 0.377555i | ||||
\(399\) | −5.43824 | + | 21.9705i | −0.272252 | + | 1.09990i | ||||
\(400\) | 6.25070 | + | 14.0393i | 0.312535 | + | 0.701966i | ||||
\(401\) | 2.14252 | + | 3.29919i | 0.106992 | + | 0.164754i | 0.888111 | − | 0.459628i | \(-0.152017\pi\) |
−0.781119 | + | 0.624382i | \(0.785351\pi\) | |||||||
\(402\) | 11.2626 | − | 6.01297i | 0.561725 | − | 0.299899i | ||||
\(403\) | −4.91179 | − | 10.0630i | −0.244674 | − | 0.501275i | ||||
\(404\) | −1.53593 | − | 2.11402i | −0.0764153 | − | 0.105177i | ||||
\(405\) | −5.67120 | + | 4.33428i | −0.281804 | + | 0.215372i | ||||
\(406\) | 0.848635 | − | 1.46988i | 0.0421170 | − | 0.0729488i | ||||
\(407\) | −37.8940 | − | 8.78655i | −1.87834 | − | 0.435533i | ||||
\(408\) | 5.35431 | − | 7.67446i | 0.265078 | − | 0.379942i | ||||
\(409\) | 9.40029 | + | 6.10462i | 0.464814 | + | 0.301854i | 0.755717 | − | 0.654899i | \(-0.227289\pi\) |
−0.290902 | + | 0.956753i | \(0.593955\pi\) | |||||||
\(410\) | −3.94411 | − | 10.2747i | −0.194786 | − | 0.507434i | ||||
\(411\) | 19.0232 | − | 6.58639i | 0.938348 | − | 0.324883i | ||||
\(412\) | 0.243854 | − | 0.270828i | 0.0120138 | − | 0.0133427i | ||||
\(413\) | −13.1595 | − | 2.79713i | −0.647536 | − | 0.137638i | ||||
\(414\) | −0.110808 | + | 7.88275i | −0.00544592 | + | 0.387416i | ||||
\(415\) | 6.26068 | + | 8.61709i | 0.307325 | + | 0.422996i | ||||
\(416\) | −1.21999 | + | 4.25940i | −0.0598148 | + | 0.208834i | ||||
\(417\) | −5.16242 | − | 28.9895i | −0.252805 | − | 1.41962i | ||||
\(418\) | −26.7618 | + | 13.0211i | −1.30896 | + | 0.636882i | ||||
\(419\) | 6.49471 | + | 3.74973i | 0.317288 | + | 0.183186i | 0.650183 | − | 0.759778i | \(-0.274692\pi\) |
−0.332895 | + | 0.942964i | \(0.608026\pi\) | |||||||
\(420\) | −0.219220 | − | 0.539947i | −0.0106969 | − | 0.0263467i | ||||
\(421\) | 0.618123 | + | 0.0979010i | 0.0301255 | + | 0.00477140i | 0.171479 | − | 0.985188i | \(-0.445145\pi\) |
−0.141354 | + | 0.989959i | \(0.545145\pi\) | |||||||
\(422\) | 1.40062 | + | 1.72962i | 0.0681811 | + | 0.0841967i | ||||
\(423\) | 2.30560 | − | 0.987927i | 0.112102 | − | 0.0480346i | ||||
\(424\) | 20.5299 | + | 10.4605i | 0.997022 | + | 0.508008i | ||||
\(425\) | −7.93175 | − | 0.833661i | −0.384747 | − | 0.0404385i | ||||
\(426\) | −9.42067 | − | 32.6444i | −0.456433 | − | 1.58163i | ||||
\(427\) | −1.16080 | − | 0.0608350i | −0.0561751 | − | 0.00294401i | ||||
\(428\) | −1.78817 | −0.0864344 | ||||||||
\(429\) | 19.0573 | − | 8.11286i | 0.920096 | − | 0.391693i | ||||
\(430\) | 10.9912 | 0.530045 | ||||||||
\(431\) | 26.9678 | + | 1.41332i | 1.29899 | + | 0.0680774i | 0.689252 | − | 0.724522i | \(-0.257939\pi\) |
0.609743 | + | 0.792599i | \(0.291273\pi\) | |||||||
\(432\) | −14.7251 | + | 10.8135i | −0.708460 | + | 0.520263i | ||||
\(433\) | −15.8482 | − | 1.66572i | −0.761618 | − | 0.0800493i | −0.284247 | − | 0.958751i | \(-0.591744\pi\) |
−0.477371 | + | 0.878702i | \(0.658410\pi\) | |||||||
\(434\) | 7.17999 | + | 3.65839i | 0.344650 | + | 0.175608i | ||||
\(435\) | 0.203621 | + | 0.875196i | 0.00976290 | + | 0.0419624i | ||||
\(436\) | −1.08580 | − | 1.34085i | −0.0520003 | − | 0.0642150i | ||||
\(437\) | −13.0716 | − | 2.07034i | −0.625299 | − | 0.0990377i | ||||
\(438\) | −7.84448 | + | 3.18489i | −0.374824 | + | 0.152180i | ||||
\(439\) | −2.50582 | − | 1.44674i | −0.119596 | − | 0.0690491i | 0.439008 | − | 0.898483i | \(-0.355330\pi\) |
−0.558605 | + | 0.829434i | \(0.688663\pi\) | |||||||
\(440\) | 3.66302 | − | 6.87334i | 0.174628 | − | 0.327674i | ||||
\(441\) | −3.33631 | − | 9.07045i | −0.158872 | − | 0.431926i | ||||
\(442\) | 6.10204 | + | 6.31507i | 0.290244 | + | 0.300377i | ||||
\(443\) | −16.4735 | − | 22.6739i | −0.782680 | − | 1.07727i | −0.994981 | − | 0.100063i | \(-0.968096\pi\) |
0.212301 | − | 0.977204i | \(-0.431904\pi\) | |||||||
\(444\) | 0.838562 | − | 4.35349i | 0.0397964 | − | 0.206608i | ||||
\(445\) | 0.635930 | + | 0.135171i | 0.0301460 | + | 0.00640773i | ||||
\(446\) | 7.30601 | − | 8.11415i | 0.345950 | − | 0.384216i | ||||
\(447\) | 7.47525 | + | 21.5905i | 0.353567 | + | 1.02120i | ||||
\(448\) | −6.04101 | − | 15.7374i | −0.285411 | − | 0.743521i | ||||
\(449\) | 9.18035 | + | 5.96179i | 0.433247 | + | 0.281354i | 0.742781 | − | 0.669534i | \(-0.233506\pi\) |
−0.309534 | + | 0.950888i | \(0.600173\pi\) | |||||||
\(450\) | 15.8887 | + | 7.34340i | 0.748999 | + | 0.346171i | ||||
\(451\) | 17.7867 | − | 29.5383i | 0.837543 | − | 1.39090i | ||||
\(452\) | 1.98408 | − | 3.43653i | 0.0933233 | − | 0.161641i | ||||
\(453\) | −1.58746 | − | 12.7497i | −0.0745853 | − | 0.599035i | ||||
\(454\) | −1.48387 | − | 2.04237i | −0.0696415 | − | 0.0958533i | ||||
\(455\) | 5.45600 | − | 1.06223i | 0.255781 | − | 0.0497982i | ||||
\(456\) | −16.2376 | − | 30.4137i | −0.760395 | − | 1.42425i | ||||
\(457\) | 20.5433 | + | 31.6340i | 0.960977 | + | 1.47977i | 0.875375 | + | 0.483445i | \(0.160615\pi\) |
0.0856017 | + | 0.996329i | \(0.472719\pi\) | |||||||
\(458\) | 12.8441 | + | 28.8484i | 0.600166 | + | 1.34800i | ||||
\(459\) | −1.03907 | − | 9.42392i | −0.0484998 | − | 0.439871i | ||||
\(460\) | 0.303614 | − | 0.154699i | 0.0141561 | − | 0.00721287i | ||||
\(461\) | −15.5908 | − | 4.17755i | −0.726136 | − | 0.194568i | −0.123228 | − | 0.992378i | \(-0.539325\pi\) |
−0.602908 | + | 0.797811i | \(0.705991\pi\) | |||||||
\(462\) | −7.44299 | + | 12.9139i | −0.346279 | + | 0.600808i | ||||
\(463\) | −9.67484 | + | 9.67484i | −0.449628 | + | 0.449628i | −0.895231 | − | 0.445603i | \(-0.852989\pi\) |
0.445603 | + | 0.895231i | \(0.352989\pi\) | |||||||
\(464\) | 0.478169 | + | 2.24961i | 0.0221984 | + | 0.104435i | ||||
\(465\) | −4.09896 | + | 1.18290i | −0.190085 | + | 0.0548555i | ||||
\(466\) | 0.594034 | − | 1.54751i | 0.0275181 | − | 0.0716871i | ||||
\(467\) | −4.04399 | − | 12.4461i | −0.187134 | − | 0.575938i | 0.812845 | − | 0.582480i | \(-0.197918\pi\) |
−0.999979 | + | 0.00654177i | \(0.997918\pi\) | |||||||
\(468\) | 1.00556 | + | 2.13579i | 0.0464821 | + | 0.0987270i | ||||
\(469\) | 8.68412 | + | 6.30938i | 0.400995 | + | 0.291340i | ||||
\(470\) | 0.687885 | + | 0.557039i | 0.0317298 | + | 0.0256943i | ||||
\(471\) | 10.2806 | − | 13.2047i | 0.473703 | − | 0.608439i | ||||
\(472\) | 17.7476 | − | 10.2466i | 0.816901 | − | 0.471638i | ||||
\(473\) | 21.1742 | + | 27.1551i | 0.973592 | + | 1.24859i | ||||
\(474\) | 1.05378 | − | 12.2850i | 0.0484016 | − | 0.564270i | ||||
\(475\) | −16.0038 | + | 24.6437i | −0.734306 | + | 1.13073i | ||||
\(476\) | 0.764529 | + | 0.121089i | 0.0350421 | + | 0.00555013i | ||||
\(477\) | 22.6323 | − | 5.72460i | 1.03626 | − | 0.262111i | ||||
\(478\) | −7.08835 | + | 33.3481i | −0.324214 | + | 1.52530i | ||||
\(479\) | −1.15666 | − | 1.78110i | −0.0528493 | − | 0.0813808i | 0.811258 | − | 0.584688i | \(-0.198783\pi\) |
−0.864108 | + | 0.503307i | \(0.832116\pi\) | |||||||
\(480\) | 1.51845 | + | 0.737408i | 0.0693075 | + | 0.0336579i | ||||
\(481\) | 39.2135 | + | 15.8297i | 1.78798 | + | 0.721770i | ||||
\(482\) | −28.3326 | − | 9.20581i | −1.29051 | − | 0.419313i | ||||
\(483\) | −6.00240 | + | 2.81139i | −0.273119 | + | 0.127923i | ||||
\(484\) | 2.36500 | − | 0.412369i | 0.107500 | − | 0.0187440i | ||||
\(485\) | −5.82070 | − | 10.0817i | −0.264304 | − | 0.457788i | ||||
\(486\) | −4.50839 | + | 20.3136i | −0.204505 | + | 0.921442i | ||||
\(487\) | 2.38485 | + | 6.21276i | 0.108068 | + | 0.281527i | 0.976941 | − | 0.213508i | \(-0.0684888\pi\) |
−0.868873 | + | 0.495034i | \(0.835155\pi\) | |||||||
\(488\) | 1.37604 | − | 1.11430i | 0.0622904 | − | 0.0504418i | ||||
\(489\) | 4.53936 | − | 14.9383i | 0.205277 | − | 0.675533i | ||||
\(490\) | 2.28202 | − | 2.53444i | 0.103091 | − | 0.114495i | ||||
\(491\) | −2.09954 | + | 0.934774i | −0.0947508 | + | 0.0421858i | −0.453565 | − | 0.891223i | \(-0.649848\pi\) |
0.358814 | + | 0.933409i | \(0.383181\pi\) | |||||||
\(492\) | 3.44035 | + | 1.89938i | 0.155103 | + | 0.0856308i | ||||
\(493\) | −1.13514 | − | 0.368828i | −0.0511240 | − | 0.0166112i | ||||
\(494\) | 30.9376 | − | 9.46867i | 1.39195 | − | 0.426016i | ||||
\(495\) | −1.79392 | − | 7.68455i | −0.0806305 | − | 0.345395i | ||||
\(496\) | −10.5472 | + | 2.82612i | −0.473585 | + | 0.126897i | ||||
\(497\) | 21.2288 | − | 19.1145i | 0.952243 | − | 0.857404i | ||||
\(498\) | 30.1406 | + | 7.46053i | 1.35063 | + | 0.334315i | ||||
\(499\) | −4.75110 | − | 29.9973i | −0.212688 | − | 1.34286i | −0.830712 | − | 0.556702i | \(-0.812067\pi\) |
0.618024 | − | 0.786159i | \(-0.287933\pi\) | |||||||
\(500\) | −0.0848891 | − | 1.61978i | −0.00379636 | − | 0.0724388i | ||||
\(501\) | 0.724015 | + | 3.11193i | 0.0323466 | + | 0.139031i | ||||
\(502\) | 3.51364 | − | 0.556506i | 0.156821 | − | 0.0248381i | ||||
\(503\) | −8.14313 | + | 18.2898i | −0.363084 | + | 0.815501i | 0.635957 | + | 0.771725i | \(0.280606\pi\) |
−0.999041 | + | 0.0437763i | \(0.986061\pi\) | |||||||
\(504\) | −15.2732 | − | 8.05445i | −0.680321 | − | 0.358774i | ||||
\(505\) | −2.45770 | − | 9.17228i | −0.109366 | − | 0.408161i | ||||
\(506\) | −7.89547 | − | 3.69088i | −0.350997 | − | 0.164080i | ||||
\(507\) | −21.8353 | + | 5.49742i | −0.969738 | + | 0.244149i | ||||
\(508\) | 0.727936 | − | 2.24036i | 0.0322969 | − | 0.0993998i | ||||
\(509\) | −20.5551 | − | 16.6452i | −0.911088 | − | 0.737785i | 0.0543213 | − | 0.998524i | \(-0.482700\pi\) |
−0.965409 | + | 0.260739i | \(0.916034\pi\) | |||||||
\(510\) | 2.77049 | − | 1.87558i | 0.122680 | − | 0.0830520i | ||||
\(511\) | −5.28986 | − | 4.76301i | −0.234010 | − | 0.210703i | ||||
\(512\) | 22.4011 | + | 11.4139i | 0.989996 | + | 0.504428i | ||||
\(513\) | −32.6746 | − | 12.3519i | −1.44262 | − | 0.545351i | ||||
\(514\) | 21.7393 | − | 8.34494i | 0.958880 | − | 0.368080i | ||||
\(515\) | 1.18000 | − | 0.601239i | 0.0519969 | − | 0.0264938i | ||||
\(516\) | −3.00218 | + | 2.52783i | −0.132163 | + | 0.111281i | ||||
\(517\) | −0.0510382 | + | 2.77261i | −0.00224466 | + | 0.121939i | ||||
\(518\) | −29.3949 | + | 7.87634i | −1.29154 | + | 0.346066i | ||||
\(519\) | −25.9286 | − | 3.59912i | −1.13814 | − | 0.157984i | ||||
\(520\) | −5.09353 | + | 6.76355i | −0.223366 | + | 0.296601i | ||||
\(521\) | −23.7289 | + | 32.6601i | −1.03958 | + | 1.43086i | −0.142080 | + | 0.989855i | \(0.545379\pi\) |
−0.897503 | + | 0.441008i | \(0.854621\pi\) | |||||||
\(522\) | 2.09735 | + | 1.56932i | 0.0917984 | + | 0.0686874i | ||||
\(523\) | −21.2394 | − | 4.51457i | −0.928734 | − | 0.197408i | −0.281378 | − | 0.959597i | \(-0.590792\pi\) |
−0.647355 | + | 0.762188i | \(0.724125\pi\) | |||||||
\(524\) | 0.258445 | − | 2.45894i | 0.0112902 | − | 0.107419i | ||||
\(525\) | 0.281829 | + | 14.7137i | 0.0123000 | + | 0.642156i | ||||
\(526\) | 14.0693 | + | 9.13671i | 0.613451 | + | 0.398380i | ||||
\(527\) | 1.46666 | − | 5.47366i | 0.0638888 | − | 0.238436i | ||||
\(528\) | −4.21397 | − | 19.7527i | −0.183390 | − | 0.859626i | ||||
\(529\) | 9.56215 | + | 16.5621i | 0.415746 | + | 0.720093i | ||||
\(530\) | 5.51229 | + | 6.12201i | 0.239438 | + | 0.265923i | ||||
\(531\) | 6.69315 | − | 19.6550i | 0.290458 | − | 0.852954i | ||||
\(532\) | 1.67630 | − | 2.30723i | 0.0726770 | − | 0.100031i | ||||
\(533\) | −24.0855 | + | 28.7215i | −1.04326 | + | 1.24406i | ||||
\(534\) | 1.67189 | − | 0.892607i | 0.0723499 | − | 0.0386269i | ||||
\(535\) | −6.06654 | − | 2.32873i | −0.262280 | − | 0.100680i | ||||
\(536\) | −16.2614 | + | 1.70914i | −0.702385 | + | 0.0738237i | ||||
\(537\) | 0.344089 | + | 0.847502i | 0.0148485 | + | 0.0365724i | ||||
\(538\) | 2.03200 | + | 2.03200i | 0.0876057 | + | 0.0876057i | ||||
\(539\) | 10.6579 | + | 0.755473i | 0.459066 | + | 0.0325405i | ||||
\(540\) | 0.867545 | − | 0.237203i | 0.0373332 | − | 0.0102076i | ||||
\(541\) | −5.04590 | − | 9.90313i | −0.216940 | − | 0.425769i | 0.756731 | − | 0.653726i | \(-0.226795\pi\) |
−0.973671 | + | 0.227958i | \(0.926795\pi\) | |||||||
\(542\) | −5.75317 | + | 12.9218i | −0.247120 | + | 0.555040i | ||||
\(543\) | 21.6257 | − | 14.6402i | 0.928048 | − | 0.628273i | ||||
\(544\) | −1.88045 | + | 1.22118i | −0.0806238 | + | 0.0523577i | ||||
\(545\) | −1.93750 | − | 5.96300i | −0.0829932 | − | 0.255427i | ||||
\(546\) | 10.1722 | − | 12.6130i | 0.435328 | − | 0.539786i | ||||
\(547\) | −31.1730 | + | 22.6485i | −1.33286 | + | 0.968380i | −0.333187 | + | 0.942861i | \(0.608124\pi\) |
−0.999674 | + | 0.0255193i | \(0.991876\pi\) | |||||||
\(548\) | −2.53312 | − | 0.132755i | −0.108209 | − | 0.00567101i | ||||
\(549\) | 0.305517 | − | 1.76777i | 0.0130391 | − | 0.0754465i | ||||
\(550\) | −14.6164 | + | 12.6814i | −0.623246 | + | 0.540738i | ||||
\(551\) | −3.10948 | + | 3.10948i | −0.132468 | + | 0.132468i | ||||
\(552\) | 3.92921 | − | 9.30053i | 0.167238 | − | 0.395857i | ||||
\(553\) | 9.67818 | − | 3.71510i | 0.411558 | − | 0.157982i | ||||
\(554\) | −3.63043 | − | 22.9217i | −0.154242 | − | 0.973848i | ||||
\(555\) | 8.51445 | − | 13.6776i | 0.361418 | − | 0.580582i | ||||
\(556\) | −0.771402 | + | 3.62916i | −0.0327147 | + | 0.153911i | ||||
\(557\) | 5.80661 | + | 2.22895i | 0.246034 | + | 0.0944436i | 0.478260 | − | 0.878218i | \(-0.341268\pi\) |
−0.232226 | + | 0.972662i | \(0.574601\pi\) | |||||||
\(558\) | −6.91946 | + | 10.3341i | −0.292924 | + | 0.437476i | ||||
\(559\) | −18.1584 | − | 32.7355i | −0.768016 | − | 1.38456i | ||||
\(560\) | − | 5.42021i | − | 0.229045i | ||||||
\(561\) | 9.97107 | + | 3.23158i | 0.420979 | + | 0.136437i | ||||
\(562\) | −14.5578 | + | 25.2149i | −0.614084 | + | 1.06362i | ||||
\(563\) | 10.5525 | − | 2.24301i | 0.444736 | − | 0.0945316i | 0.0199002 | − | 0.999802i | \(-0.493665\pi\) |
0.424836 | + | 0.905270i | \(0.360332\pi\) | |||||||
\(564\) | −0.316002 | + | 0.00605276i | −0.0133061 | + | 0.000254867i | ||||
\(565\) | 11.2066 | − | 9.07491i | 0.471464 | − | 0.381784i | ||||
\(566\) | −8.77790 | + | 0.460030i | −0.368963 | + | 0.0193365i | ||||
\(567\) | −17.0190 | + | 4.05112i | −0.714729 | + | 0.170131i | ||||
\(568\) | −4.54844 | + | 43.2755i | −0.190848 | + | 1.81580i | ||||
\(569\) | 3.74754 | + | 35.6554i | 0.157105 | + | 1.49475i | 0.734679 | + | 0.678415i | \(0.237333\pi\) |
−0.577574 | + | 0.816338i | \(0.696000\pi\) | |||||||
\(570\) | −1.52301 | − | 12.2321i | −0.0637918 | − | 0.512347i | ||||
\(571\) | − | 28.4223i | − | 1.18943i | −0.803935 | − | 0.594717i | \(-0.797264\pi\) | ||
0.803935 | − | 0.594717i | \(-0.202736\pi\) | |||||||
\(572\) | −2.60945 | + | 0.0438414i | −0.109107 | + | 0.00183310i | ||||
\(573\) | −6.72787 | + | 1.19809i | −0.281061 | + | 0.0500510i | ||||
\(574\) | 1.41174 | − | 26.9376i | 0.0589249 | − | 1.12435i | ||||
\(575\) | −8.55797 | + | 0.899479i | −0.356892 | + | 0.0375109i | ||||
\(576\) | 25.2219 | − | 6.37960i | 1.05091 | − | 0.265817i | ||||
\(577\) | −0.211276 | + | 0.414652i | −0.00879552 | + | 0.0172622i | −0.895362 | − | 0.445338i | \(-0.853083\pi\) |
0.886567 | + | 0.462600i | \(0.153083\pi\) | |||||||
\(578\) | −0.955029 | − | 18.2230i | −0.0397240 | − | 0.757978i | ||||
\(579\) | −15.2711 | + | 17.6278i | −0.634646 | + | 0.732586i | ||||
\(580\) | 0.0177119 | − | 0.111829i | 0.000735449 | − | 0.00464344i | ||||
\(581\) | 5.42771 | + | 25.5354i | 0.225179 | + | 1.05939i | ||||
\(582\) | −31.9095 | − | 11.5528i | −1.32269 | − | 0.478877i | ||||
\(583\) | −4.50588 | + | 25.4125i | −0.186615 | + | 1.05248i | ||||
\(584\) | 10.8429 | 0.448683 | ||||||||
\(585\) | 0.630037 | + | 8.55543i | 0.0260488 | + | 0.353723i | ||||
\(586\) | 25.0103 | − | 18.1711i | 1.03317 | − | 0.750640i | ||||
\(587\) | 3.05406 | − | 7.95609i | 0.126054 | − | 0.328383i | −0.856001 | − | 0.516974i | \(-0.827059\pi\) |
0.982056 | + | 0.188591i | \(0.0603919\pi\) | |||||||
\(588\) | −0.0404322 | + | 1.21710i | −0.00166740 | + | 0.0501922i | ||||
\(589\) | −15.5156 | − | 13.9703i | −0.639308 | − | 0.575635i | ||||
\(590\) | 7.23675 | − | 1.14619i | 0.297932 | − | 0.0471878i | ||||
\(591\) | 4.99627 | + | 8.28329i | 0.205519 | + | 0.340729i | ||||
\(592\) | 22.4589 | − | 34.5837i | 0.923056 | − | 1.42138i | ||||
\(593\) | 30.0664 | + | 30.0664i | 1.23468 | + | 1.23468i | 0.962146 | + | 0.272535i | \(0.0878620\pi\) |
0.272535 | + | 0.962146i | \(0.412138\pi\) | |||||||
\(594\) | −18.4290 | − | 13.7679i | −0.756150 | − | 0.564903i | ||||
\(595\) | 2.43605 | + | 1.40645i | 0.0998682 | + | 0.0576589i | ||||
\(596\) | 0.150671 | − | 2.87497i | 0.00617172 | − | 0.117763i | ||||
\(597\) | 14.9285 | − | 15.5116i | 0.610984 | − | 0.634847i | ||||
\(598\) | 7.85656 | + | 5.29590i | 0.321279 | + | 0.216566i | ||||
\(599\) | 10.2867 | − | 3.34234i | 0.420302 | − | 0.136564i | −0.0912278 | − | 0.995830i | \(-0.529079\pi\) |
0.511529 | + | 0.859266i | \(0.329079\pi\) | |||||||
\(600\) | −15.3161 | − | 16.3687i | −0.625278 | − | 0.668249i | ||||
\(601\) | 5.51419 | − | 2.45507i | 0.224928 | − | 0.100145i | −0.291179 | − | 0.956669i | \(-0.594047\pi\) |
0.516107 | + | 0.856524i | \(0.327381\pi\) | |||||||
\(602\) | 24.6100 | + | 10.9571i | 1.00303 | + | 0.446578i | ||||
\(603\) | −11.2571 | + | 12.1543i | −0.458425 | + | 0.494961i | ||||
\(604\) | −0.419005 | + | 1.56375i | −0.0170491 | + | 0.0636281i | ||||
\(605\) | 8.56054 | + | 1.68093i | 0.348035 | + | 0.0683396i | ||||
\(606\) | −22.7026 | − | 15.8391i | −0.922228 | − | 0.643420i | ||||
\(607\) | −17.8682 | + | 3.79800i | −0.725247 | + | 0.154156i | −0.555720 | − | 0.831369i | \(-0.687557\pi\) |
−0.169527 | + | 0.985526i | \(0.554224\pi\) | |||||||
\(608\) | 0.863508 | + | 8.21573i | 0.0350199 | + | 0.333192i | ||||
\(609\) | −0.416556 | + | 2.16260i | −0.0168797 | + | 0.0876330i | ||||
\(610\) | 0.602073 | − | 0.195625i | 0.0243772 | − | 0.00792063i | ||||
\(611\) | 0.522602 | − | 2.96901i | 0.0211422 | − | 0.120113i | ||||
\(612\) | −0.325384 | + | 1.14947i | −0.0131529 | + | 0.0464647i | ||||
\(613\) | 7.10935 | − | 8.77932i | 0.287144 | − | 0.354593i | −0.613080 | − | 0.790021i | \(-0.710070\pi\) |
0.900224 | + | 0.435428i | \(0.143403\pi\) | |||||||
\(614\) | −0.652512 | + | 0.587525i | −0.0263333 | + | 0.0237106i | ||||
\(615\) | 9.19816 | + | 10.9242i | 0.370906 | + | 0.440506i | ||||
\(616\) | 15.0537 | − | 11.7382i | 0.606530 | − | 0.472944i | ||||
\(617\) | 33.7488 | + | 9.04297i | 1.35868 | + | 0.364056i | 0.863330 | − | 0.504639i | \(-0.168374\pi\) |
0.495347 | + | 0.868695i | \(0.335041\pi\) | |||||||
\(618\) | 1.50244 | − | 3.55632i | 0.0604371 | − | 0.143056i | ||||
\(619\) | −0.385480 | + | 2.43382i | −0.0154937 | + | 0.0978237i | −0.994223 | − | 0.107331i | \(-0.965770\pi\) |
0.978730 | + | 0.205154i | \(0.0657696\pi\) | |||||||
\(620\) | 0.534614 | + | 0.0561902i | 0.0214706 | + | 0.00225665i | ||||
\(621\) | −3.21064 | − | 9.71266i | −0.128839 | − | 0.389755i | ||||
\(622\) | 1.82040 | − | 1.18218i | 0.0729912 | − | 0.0474010i | ||||
\(623\) | 1.28913 | + | 0.936610i | 0.0516480 | + | 0.0375245i | ||||
\(624\) | 1.19292 | + | 21.9242i | 0.0477549 | + | 0.877672i | ||||
\(625\) | −4.93213 | + | 15.1795i | −0.197285 | + | 0.607182i | ||||
\(626\) | 1.77077 | + | 6.60859i | 0.0707741 | + | 0.264132i | ||||
\(627\) | 27.2867 | − | 27.3275i | 1.08973 | − | 1.09135i | ||||
\(628\) | −1.82613 | + | 1.05432i | −0.0728707 | + | 0.0420719i | ||||
\(629\) | 9.71552 | + | 19.0678i | 0.387383 | + | 0.760282i | ||||
\(630\) | −4.06594 | − | 4.64536i | −0.161991 | − | 0.185076i | ||||
\(631\) | −4.53077 | − | 5.59503i | −0.180367 | − | 0.222735i | 0.678941 | − | 0.734192i | \(-0.262439\pi\) |
−0.859308 | + | 0.511458i | \(0.829106\pi\) | |||||||
\(632\) | −7.16909 | + | 14.0701i | −0.285171 | + | 0.559679i | ||||
\(633\) | −2.45169 | − | 1.52620i | −0.0974460 | − | 0.0606611i | ||||
\(634\) | −9.54426 | − | 21.4368i | −0.379051 | − | 0.851363i | ||||
\(635\) | 5.38721 | − | 6.65265i | 0.213785 | − | 0.264002i | ||||
\(636\) | −2.91361 | − | 0.404436i | −0.115532 | − | 0.0160369i | ||||
\(637\) | −11.3185 | − | 2.60951i | −0.448454 | − | 0.103393i | ||||
\(638\) | −2.53418 | + | 1.40156i | −0.100329 | + | 0.0554884i | ||||
\(639\) | 25.4101 | + | 36.0283i | 1.00521 | + | 1.42526i | ||||
\(640\) | 4.83875 | + | 5.37397i | 0.191268 | + | 0.212425i | ||||
\(641\) | 5.20178 | + | 2.31598i | 0.205458 | + | 0.0914757i | 0.506886 | − | 0.862013i | \(-0.330797\pi\) |
−0.301428 | + | 0.953489i | \(0.597463\pi\) | |||||||
\(642\) | −17.9006 | + | 6.19768i | −0.706478 | + | 0.244603i | ||||
\(643\) | 12.1966 | − | 0.639196i | 0.480986 | − | 0.0252074i | 0.189697 | − | 0.981843i | \(-0.439249\pi\) |
0.291289 | + | 0.956635i | \(0.405916\pi\) | |||||||
\(644\) | 0.834026 | − | 0.0437095i | 0.0328652 | − | 0.00172239i | ||||
\(645\) | −13.4772 | + | 4.66618i | −0.530663 | + | 0.183731i | ||||
\(646\) | 14.9576 | + | 6.65955i | 0.588498 | + | 0.262016i | ||||
\(647\) | 2.50335 | + | 2.78025i | 0.0984167 | + | 0.109303i | 0.790341 | − | 0.612667i | \(-0.209903\pi\) |
−0.691924 | + | 0.721970i | \(0.743237\pi\) | |||||||
\(648\) | 15.1364 | − | 21.9327i | 0.594614 | − | 0.861597i | ||||
\(649\) | 16.7731 | + | 15.6711i | 0.658402 | + | 0.615144i | ||||
\(650\) | 17.8368 | − | 11.1531i | 0.699616 | − | 0.437459i | ||||
\(651\) | −10.3570 | − | 1.43765i | −0.405924 | − | 0.0563459i | ||||
\(652\) | −1.23804 | + | 1.52885i | −0.0484852 | + | 0.0598742i | ||||
\(653\) | 9.69942 | + | 21.7853i | 0.379568 | + | 0.852523i | 0.997785 | + | 0.0665159i | \(0.0211883\pi\) |
−0.618218 | + | 0.786007i | \(0.712145\pi\) | |||||||
\(654\) | −15.5167 | − | 9.65933i | −0.606753 | − | 0.377710i | ||||
\(655\) | 4.07908 | − | 8.00565i | 0.159383 | − | 0.312806i | ||||
\(656\) | 23.0027 | + | 28.4059i | 0.898103 | + | 1.10906i | ||||
\(657\) | 8.26660 | − | 7.23549i | 0.322511 | − | 0.282283i | ||||
\(658\) | 0.984907 | + | 1.93299i | 0.0383957 | + | 0.0753557i | ||||
\(659\) | 12.8761 | − | 7.43402i | 0.501582 | − | 0.289588i | −0.227785 | − | 0.973711i | \(-0.573148\pi\) |
0.729366 | + | 0.684123i | \(0.239815\pi\) | |||||||
\(660\) | −0.154812 | + | 0.982186i | −0.00602605 | + | 0.0382315i | ||||
\(661\) | −7.57842 | − | 28.2830i | −0.294766 | − | 1.10008i | −0.941403 | − | 0.337284i | \(-0.890492\pi\) |
0.646637 | − | 0.762798i | \(-0.276175\pi\) | |||||||
\(662\) | −10.1291 | + | 31.1742i | −0.393679 | + | 1.21162i | ||||
\(663\) | −10.1631 | − | 5.15283i | −0.394703 | − | 0.200119i | ||||
\(664\) | −32.1714 | − | 23.3739i | −1.24849 | − | 0.907084i | ||||
\(665\) | 8.69174 | − | 5.64448i | 0.337051 | − | 0.218884i | ||||
\(666\) | −6.69448 | − | 46.4873i | −0.259406 | − | 1.80135i | ||||
\(667\) | −1.28073 | − | 0.134610i | −0.0495901 | − | 0.00521213i | ||||
\(668\) | 0.0629783 | − | 0.397629i | 0.00243670 | − | 0.0153847i | ||||
\(669\) | −5.51369 | + | 13.0510i | −0.213171 | + | 0.504582i | ||||
\(670\) | −5.64679 | − | 1.51305i | −0.218154 | − | 0.0584543i | ||||
\(671\) | 1.64318 | + | 1.11062i | 0.0634344 | + | 0.0428750i | ||||
\(672\) | 2.66478 | + | 3.16483i | 0.102796 | + | 0.122086i | ||||
\(673\) | 6.32369 | − | 5.69387i | 0.243760 | − | 0.219483i | −0.538190 | − | 0.842824i | \(-0.680892\pi\) |
0.781950 | + | 0.623341i | \(0.214225\pi\) | |||||||
\(674\) | −11.9932 | + | 14.8103i | −0.461960 | + | 0.570473i | ||||
\(675\) | −22.5998 | − | 2.25896i | −0.869867 | − | 0.0869474i | ||||
\(676\) | 2.80980 | + | 0.393179i | 0.108069 | + | 0.0151223i | ||||
\(677\) | −43.9103 | + | 14.2673i | −1.68761 | + | 0.548338i | −0.986363 | − | 0.164582i | \(-0.947373\pi\) |
−0.701246 | + | 0.712919i | \(0.747373\pi\) | |||||||
\(678\) | 7.95094 | − | 41.2783i | 0.305354 | − | 1.58528i | ||||
\(679\) | −2.98246 | − | 28.3762i | −0.114456 | − | 1.08898i | ||||
\(680\) | −4.19116 | + | 0.890859i | −0.160724 | + | 0.0341629i | ||||
\(681\) | 2.68654 | + | 1.87435i | 0.102949 | + | 0.0718251i | ||||
\(682\) | −7.27491 | − | 11.6670i | −0.278571 | − | 0.446753i | ||||
\(683\) | −2.92613 | + | 10.9205i | −0.111965 | + | 0.417860i | −0.999042 | − | 0.0437618i | \(-0.986066\pi\) |
0.887077 | + | 0.461622i | \(0.152732\pi\) | |||||||
\(684\) | 3.22921 | + | 2.99084i | 0.123472 | + | 0.114358i | ||||
\(685\) | −8.42097 | − | 3.74926i | −0.321749 | − | 0.143252i | ||||
\(686\) | 24.2286 | − | 10.7873i | 0.925052 | − | 0.411860i | ||||
\(687\) | −27.9963 | − | 29.9203i | −1.06813 | − | 1.14153i | ||||
\(688\) | −34.7168 | + | 11.2802i | −1.32357 | + | 0.430053i | ||||
\(689\) | 9.12662 | − | 26.5314i | 0.347697 | − | 1.01077i | ||||
\(690\) | 2.50316 | − | 2.60093i | 0.0952938 | − | 0.0990157i | ||||
\(691\) | −0.208895 | + | 3.98595i | −0.00794674 | + | 0.151633i | 0.991774 | + | 0.128001i | \(0.0408562\pi\) |
−0.999721 | + | 0.0236315i | \(0.992477\pi\) | |||||||
\(692\) | 2.85650 | + | 1.64920i | 0.108588 | + | 0.0626933i | ||||
\(693\) | 3.64399 | − | 18.9945i | 0.138424 | − | 0.721541i | ||||
\(694\) | −27.3919 | − | 27.3919i | −1.03978 | − | 1.03978i | ||||
\(695\) | −7.34331 | + | 11.3077i | −0.278548 | + | 0.428926i | ||||
\(696\) | −1.73272 | − | 2.87266i | −0.0656784 | − | 0.108888i | ||||
\(697\) | −18.7355 | + | 2.96741i | −0.709658 | + | 0.112399i | ||||
\(698\) | −33.5470 | − | 30.2059i | −1.26977 | − | 1.14331i | ||||
\(699\) | −0.0714137 | + | 2.14971i | −0.00270111 | + | 0.0813094i | ||||
\(700\) | 0.664524 | − | 1.73114i | 0.0251167 | − | 0.0654311i | ||||
\(701\) | −6.09125 | + | 4.42555i | −0.230063 | + | 0.167151i | −0.696845 | − | 0.717222i | \(-0.745413\pi\) |
0.466782 | + | 0.884373i | \(0.345413\pi\) | |||||||
\(702\) | 17.4688 | + | 17.8952i | 0.659316 | + | 0.675412i | ||||
\(703\) | 78.8460 | 2.97373 | ||||||||
\(704\) | −5.02144 | + | 28.3202i | −0.189253 | + | 1.06736i | ||||
\(705\) | −1.07995 | − | 0.390993i | −0.0406733 | − | 0.0147257i | ||||
\(706\) | 2.82182 | + | 13.2756i | 0.106201 | + | 0.499635i | ||||
\(707\) | 3.64083 | − | 22.9873i | 0.136928 | − | 0.864527i | ||||
\(708\) | −1.71306 | + | 1.97742i | −0.0643806 | + | 0.0743160i | ||||
\(709\) | −0.776064 | − | 14.8082i | −0.0291457 | − | 0.556133i | −0.973708 | − | 0.227800i | \(-0.926847\pi\) |
0.944562 | − | 0.328333i | \(-0.106487\pi\) | |||||||
\(710\) | −7.06299 | + | 13.8619i | −0.265069 | + | 0.520228i | ||||
\(711\) | 3.92333 | + | 15.5110i | 0.147136 | + | 0.581706i | ||||
\(712\) | −2.41396 | + | 0.253717i | −0.0904669 | + | 0.00950845i | ||||
\(713\) | 0.319989 | − | 6.10576i | 0.0119837 | − | 0.228663i | ||||
\(714\) | 8.07304 | − | 1.43764i | 0.302126 | − | 0.0538023i | ||||
\(715\) | −8.90992 | − | 3.24954i | −0.333212 | − | 0.121526i | ||||
\(716\) | − | 0.115254i | − | 0.00430724i | ||||||
\(717\) | −5.46592 | − | 43.8998i | −0.204129 | − | 1.63947i | ||||
\(718\) | 2.15959 | + | 20.5471i | 0.0805952 | + | 0.766812i | ||||
\(719\) | 1.38720 | − | 13.1984i | 0.0517339 | − | 0.492216i | −0.937723 | − | 0.347385i | \(-0.887070\pi\) |
0.989456 | − | 0.144830i | \(-0.0462637\pi\) | |||||||
\(720\) | 8.30631 | + | 0.991255i | 0.309558 | + | 0.0369419i | ||||
\(721\) | 3.24145 | − | 0.169877i | 0.120718 | − | 0.00632656i | ||||
\(722\) | 27.1710 | − | 22.0026i | 1.01120 | − | 0.818853i | ||||
\(723\) | 38.6488 | − | 0.740288i | 1.43737 | − | 0.0275316i | ||||
\(724\) | −3.21870 | + | 0.684156i | −0.119622 | + | 0.0254265i | ||||
\(725\) | −1.42962 | + | 2.47617i | −0.0530947 | + | 0.0919626i | ||||
\(726\) | 22.2457 | − | 12.3250i | 0.825616 | − | 0.457423i | ||||
\(727\) | 17.9785i | 0.666786i | 0.942788 | + | 0.333393i | \(0.108194\pi\) | ||||
−0.942788 | + | 0.333393i | \(0.891806\pi\) | |||||||
\(728\) | −18.1472 | + | 10.0663i | −0.672581 | + | 0.373081i | ||||
\(729\) | −3.09578 | − | 26.8219i | −0.114659 | − | 0.993405i | ||||
\(730\) | 3.61919 | + | 1.38928i | 0.133952 | + | 0.0514195i | ||||
\(731\) | 3.93869 | − | 18.5301i | 0.145678 | − | 0.685360i | ||||
\(732\) | −0.119461 | + | 0.191902i | −0.00441539 | + | 0.00709288i | ||||
\(733\) | 5.39050 | + | 34.0343i | 0.199103 | + | 1.25708i | 0.861433 | + | 0.507872i | \(0.169568\pi\) |
−0.662330 | + | 0.749212i | \(0.730432\pi\) | |||||||
\(734\) | −10.6152 | + | 4.07478i | −0.391813 | + | 0.150403i | ||||
\(735\) | −1.72219 | + | 4.07647i | −0.0635240 | + | 0.150363i | ||||
\(736\) | −1.71064 | + | 1.71064i | −0.0630549 | + | 0.0630549i | ||||
\(737\) | −7.14017 | − | 16.8658i | −0.263012 | − | 0.621261i | ||||
\(738\) | 41.0229 | + | 7.08984i | 1.51007 | + | 0.260980i | ||||
\(739\) | 40.6657 | + | 2.13120i | 1.49591 | + | 0.0783974i | 0.782633 | − | 0.622484i | \(-0.213876\pi\) |
0.713278 | + | 0.700881i | \(0.247210\pi\) | |||||||
\(740\) | −1.64236 | + | 1.19325i | −0.0603744 | + | 0.0438646i | ||||
\(741\) | −33.9150 | + | 24.7444i | −1.24590 | + | 0.909006i | ||||
\(742\) | 6.23933 | + | 19.2027i | 0.229053 | + | 0.704953i | ||||
\(743\) | −17.8403 | + | 11.5856i | −0.654497 | + | 0.425035i | −0.828714 | − | 0.559672i | \(-0.810927\pi\) |
0.174217 | + | 0.984707i | \(0.444260\pi\) | |||||||
\(744\) | 13.1896 | − | 8.92910i | 0.483553 | − | 0.327357i | ||||
\(745\) | 4.25523 | − | 9.55741i | 0.155900 | − | 0.350157i | ||||
\(746\) | −1.81383 | − | 3.55985i | −0.0664092 | − | 0.130335i | ||||
\(747\) | −40.1248 | + | 3.64786i | −1.46809 | + | 0.133468i | ||||
\(748\) | −1.01092 | − | 0.849908i | −0.0369630 | − | 0.0310757i | ||||
\(749\) | −11.2618 | − | 11.2618i | −0.411499 | − | 0.411499i | ||||
\(750\) | −6.46385 | − | 15.9207i | −0.236026 | − | 0.581341i | ||||
\(751\) | 36.3344 | − | 3.81890i | 1.32586 | − | 0.139354i | 0.585012 | − | 0.811025i | \(-0.301090\pi\) |
0.740850 | + | 0.671671i | \(0.234423\pi\) | |||||||
\(752\) | −2.74443 | − | 1.05349i | −0.100079 | − | 0.0384167i | ||||
\(753\) | −4.07208 | + | 2.17404i | −0.148395 | + | 0.0792265i | ||||
\(754\) | 2.95803 | − | 1.07764i | 0.107725 | − | 0.0392452i | ||||
\(755\) | −3.45799 | + | 4.75951i | −0.125849 | + | 0.173216i | ||||
\(756\) | 2.17895 | + | 0.333739i | 0.0792476 | + | 0.0121380i | ||||
\(757\) | −7.18421 | − | 7.97887i | −0.261114 | − | 0.289997i | 0.598305 | − | 0.801269i | \(-0.295841\pi\) |
−0.859419 | + | 0.511272i | \(0.829175\pi\) | |||||||
\(758\) | −14.2912 | − | 24.7531i | −0.519080 | − | 0.899074i | ||||
\(759\) | 11.2481 | + | 1.17374i | 0.408281 | + | 0.0426042i | ||||
\(760\) | −4.08589 | + | 15.2487i | −0.148211 | + | 0.553130i | ||||
\(761\) | −20.6862 | − | 13.4338i | −0.749875 | − | 0.486975i | 0.112244 | − | 0.993681i | \(-0.464196\pi\) |
−0.862119 | + | 0.506706i | \(0.830863\pi\) | |||||||
\(762\) | −0.477902 | − | 24.9502i | −0.0173125 | − | 0.903850i | ||||
\(763\) | 1.60630 | − | 15.2830i | 0.0581521 | − | 0.553281i | ||||
\(764\) | 0.842254 | + | 0.179027i | 0.0304717 | + | 0.00647695i | ||||
\(765\) | −2.60086 | + | 3.47596i | −0.0940341 | + | 0.125674i | ||||
\(766\) | −25.5827 | + | 35.2116i | −0.924342 | + | 1.27225i | ||||
\(767\) | −15.3694 | − | 19.6598i | −0.554955 | − | 0.709873i | ||||
\(768\) | −8.87518 | − | 1.23196i | −0.320255 | − | 0.0444544i | ||||
\(769\) | −7.63606 | + | 2.04608i | −0.275363 | + | 0.0737834i | −0.393858 | − | 0.919171i | \(-0.628860\pi\) |
0.118495 | + | 0.992955i | \(0.462193\pi\) | |||||||
\(770\) | 6.52867 | − | 1.98922i | 0.235277 | − | 0.0716863i | ||||
\(771\) | −23.1134 | + | 19.4615i | −0.832410 | + | 0.700888i | ||||
\(772\) | 2.61843 | − | 1.33416i | 0.0942393 | − | 0.0480173i | ||||
\(773\) | 51.7736 | − | 19.8740i | 1.86217 | − | 0.714819i | 0.904891 | − | 0.425642i | \(-0.139952\pi\) |
0.957276 | − | 0.289177i | \(-0.0933815\pi\) | |||||||
\(774\) | −21.2921 | + | 35.7103i | −0.765330 | + | 1.28358i | ||||
\(775\) | −12.0955 | − | 6.16295i | −0.434482 | − | 0.221380i | ||||
\(776\) | 32.2990 | + | 29.0821i | 1.15946 | + | 1.04399i | ||||
\(777\) | 32.6994 | − | 22.1370i | 1.17309 | − | 0.794159i | ||||
\(778\) | −12.3291 | − | 9.98388i | −0.442019 | − | 0.357940i | ||||
\(779\) | −21.5967 | + | 66.4679i | −0.773783 | + | 2.38146i | ||||
\(780\) | 0.331972 | − | 1.02869i | 0.0118865 | − | 0.0368330i | ||||
\(781\) | −47.8539 | + | 9.25456i | −1.71235 | + | 0.331154i | ||||
\(782\) | 1.24099 | + | 4.63145i | 0.0443778 | + | 0.165620i | ||||
\(783\) | −3.23795 | − | 1.03386i | −0.115715 | − | 0.0369472i | ||||
\(784\) | −4.60691 | + | 10.3473i | −0.164532 | + | 0.369546i | ||||
\(785\) | −7.56838 | + | 1.19871i | −0.270127 | + | 0.0427839i | ||||
\(786\) | −5.93537 | − | 25.5111i | −0.211708 | − | 0.909952i | ||||
\(787\) | 0.827931 | + | 15.7979i | 0.0295126 | + | 0.563133i | 0.972870 | + | 0.231354i | \(0.0743155\pi\) |
−0.943357 | + | 0.331779i | \(0.892351\pi\) | |||||||
\(788\) | −0.190676 | − | 1.20388i | −0.00679254 | − | 0.0428864i | ||||
\(789\) | −21.1303 | − | 5.23026i | −0.752258 | − | 0.186202i | ||||
\(790\) | −4.19570 | + | 3.77783i | −0.149276 | + | 0.134409i | ||||
\(791\) | 34.1389 | − | 9.14748i | 1.21384 | − | 0.325247i | ||||
\(792\) | 15.2353 | + | 25.2160i | 0.541364 | + | 0.896013i | ||||
\(793\) | −1.57730 | − | 1.46998i | −0.0560117 | − | 0.0522005i | ||||
\(794\) | 33.7332 | + | 10.9606i | 1.19715 | + | 0.388976i | ||||
\(795\) | −9.35804 | − | 5.16648i | −0.331895 | − | 0.183236i | ||||
\(796\) | −2.47812 | + | 1.10333i | −0.0878347 | + | 0.0391065i | ||||
\(797\) | 10.2602 | − | 11.3951i | 0.363435 | − | 0.403636i | −0.533498 | − | 0.845801i | \(-0.679123\pi\) |
0.896934 | + | 0.442165i | \(0.145790\pi\) | |||||||
\(798\) | 8.78399 | − | 28.9066i | 0.310950 | − | 1.02328i | ||||
\(799\) | 1.18561 | − | 0.960089i | 0.0419439 | − | 0.0339655i | ||||
\(800\) | 1.92490 | + | 5.01454i | 0.0680555 | + | 0.177291i | ||||
\(801\) | −1.67109 | + | 1.80427i | −0.0590449 | + | 0.0637508i | ||||
\(802\) | −2.62549 | − | 4.54749i | −0.0927093 | − | 0.160577i | ||||
\(803\) | 3.53988 | + | 11.6180i | 0.124920 | + | 0.409990i | ||||
\(804\) | 1.89036 | − | 0.885400i | 0.0666678 | − | 0.0312257i | ||||
\(805\) | 2.88644 | + | 0.937862i | 0.101734 | + | 0.0330553i | ||||
\(806\) | 5.84440 | + | 13.7571i | 0.205860 | + | 0.484574i | ||||
\(807\) | −3.35424 | − | 1.62892i | −0.118075 | − | 0.0573409i | ||||
\(808\) | 19.3087 | + | 29.7327i | 0.679276 | + | 1.04599i | ||||
\(809\) | 0.875151 | − | 4.11726i | 0.0307687 | − | 0.144755i | −0.960082 | − | 0.279719i | \(-0.909759\pi\) |
0.990850 | + | 0.134964i | \(0.0430919\pi\) | |||||||
\(810\) | 7.86247 | − | 5.38139i | 0.276259 | − | 0.189083i | ||||
\(811\) | −25.0591 | − | 3.96898i | −0.879945 | − | 0.139370i | −0.299916 | − | 0.953965i | \(-0.596959\pi\) |
−0.580029 | + | 0.814596i | \(0.696959\pi\) | |||||||
\(812\) | 0.151139 | − | 0.232734i | 0.00530395 | − | 0.00816737i | ||||
\(813\) | 1.56860 | − | 18.2868i | 0.0550131 | − | 0.641348i | ||||
\(814\) | 49.8987 | + | 14.3597i | 1.74895 | + | 0.503306i | ||||
\(815\) | −6.19118 | + | 3.57448i | −0.216867 | + | 0.125208i | ||||
\(816\) | −6.82597 | + | 8.76750i | −0.238957 | + | 0.306924i | ||||
\(817\) | −54.2420 | − | 43.9243i | −1.89769 | − | 1.53672i | ||||
\(818\) | −12.1041 | − | 8.79412i | −0.423209 | − | 0.307479i | ||||
\(819\) | −7.11815 | + | 19.7842i | −0.248728 | + | 0.691315i | ||||
\(820\) | −0.556058 | − | 1.71137i | −0.0194184 | − | 0.0597636i | ||||
\(821\) | 15.7062 | − | 40.9162i | 0.548152 | − | 1.42798i | −0.327412 | − | 0.944882i | \(-0.606176\pi\) |
0.875564 | − | 0.483103i | \(-0.160490\pi\) | |||||||
\(822\) | −25.8180 | + | 7.45068i | −0.900507 | + | 0.259872i | ||||
\(823\) | 5.80479 | + | 27.3094i | 0.202342 | + | 0.951945i | 0.955702 | + | 0.294336i | \(0.0950986\pi\) |
−0.753360 | + | 0.657609i | \(0.771568\pi\) | |||||||
\(824\) | −3.49619 | + | 3.49619i | −0.121796 | + | 0.121796i | ||||
\(825\) | 12.5385 | − | 21.7548i | 0.436536 | − | 0.757406i | ||||
\(826\) | 17.3461 | + | 4.64788i | 0.603548 | + | 0.161720i | ||||
\(827\) | −20.8412 | + | 10.6191i | −0.724721 | + | 0.369264i | −0.777112 | − | 0.629363i | \(-0.783316\pi\) |
0.0523905 | + | 0.998627i | \(0.483316\pi\) | |||||||
\(828\) | −0.0855444 | + | 1.28612i | −0.00297287 | + | 0.0446956i | ||||
\(829\) | −7.41147 | − | 16.6464i | −0.257411 | − | 0.578155i | 0.737897 | − | 0.674914i | \(-0.235819\pi\) |
−0.995308 | + | 0.0967589i | \(0.969152\pi\) | |||||||
\(830\) | −7.74347 | − | 11.9239i | −0.268780 | − | 0.413885i | ||||
\(831\) | 14.1826 | + | 26.5647i | 0.491989 | + | 0.921518i | ||||
\(832\) | 10.1709 | − | 29.5671i | 0.352612 | − | 1.02505i | ||||
\(833\) | −3.45505 | − | 4.75546i | −0.119710 | − | 0.164767i | ||||
\(834\) | 4.85630 | + | 39.0035i | 0.168160 | + | 1.35058i | ||||
\(835\) | 0.731492 | − | 1.26698i | 0.0253143 | − | 0.0438457i | ||||
\(836\) | −4.48099 | + | 1.89703i | −0.154978 | + | 0.0656102i | ||||
\(837\) | 4.09726 | − | 15.6089i | 0.141622 | − | 0.539523i | ||||
\(838\) | −8.39547 | − | 5.45208i | −0.290017 | − | 0.188339i | ||||
\(839\) | −12.1069 | − | 31.5395i | −0.417976 | − | 1.08887i | −0.967385 | − | 0.253311i | \(-0.918480\pi\) |
0.549409 | − | 0.835554i | \(-0.314853\pi\) | |||||||
\(840\) | 2.58675 | + | 7.47121i | 0.0892513 | + | 0.257781i | ||||
\(841\) | 19.1185 | − | 21.2332i | 0.659258 | − | 0.732180i | ||||
\(842\) | −0.817115 | − | 0.173683i | −0.0281597 | − | 0.00598552i | ||||
\(843\) | 7.14577 | − | 37.0981i | 0.246113 | − | 1.27773i | ||||
\(844\) | 0.213888 | + | 0.294391i | 0.00736231 | + | 0.0101334i | ||||
\(845\) | 9.02048 | + | 4.99309i | 0.310314 | + | 0.171768i | ||||
\(846\) | −3.14237 | + | 1.15583i | −0.108037 | + | 0.0397384i | ||||
\(847\) | 17.4918 | + | 12.2976i | 0.601026 | + | 0.422552i | ||||
\(848\) | −23.6940 | − | 13.6797i | −0.813655 | − | 0.469764i | ||||
\(849\) | 10.5679 | − | 4.29062i | 0.362690 | − | 0.147254i | ||||
\(850\) | 10.5148 | + | 1.66537i | 0.360653 | + | 0.0571218i | ||||
\(851\) | 14.5309 | + | 17.9442i | 0.498113 | + | 0.615118i | ||||
\(852\) | −1.25883 | − | 5.41066i | −0.0431269 | − | 0.185366i | ||||
\(853\) | −36.2823 | − | 18.4868i | −1.24228 | − | 0.632975i | −0.295653 | − | 0.955295i | \(-0.595537\pi\) |
−0.946631 | + | 0.322320i | \(0.895537\pi\) | |||||||
\(854\) | 1.54309 | + | 0.162185i | 0.0528035 | + | 0.00554987i | ||||
\(855\) | 7.06045 | + | 14.3521i | 0.241462 | + | 0.490832i | ||||
\(856\) | 24.2272 | + | 1.26970i | 0.828070 | + | 0.0433973i | ||||
\(857\) | −21.6622 | −0.739965 | −0.369983 | − | 0.929039i | \(-0.620636\pi\) | ||||
−0.369983 | + | 0.929039i | \(0.620636\pi\) | |||||||
\(858\) | −25.9701 | + | 9.48307i | −0.886604 | + | 0.323747i | ||||
\(859\) | 36.0397 | 1.22966 | 0.614829 | − | 0.788661i | \(-0.289225\pi\) | ||||
0.614829 | + | 0.788661i | \(0.289225\pi\) | |||||||
\(860\) | 1.79461 | + | 0.0940514i | 0.0611956 | + | 0.00320713i | ||||
\(861\) | 9.70495 | + | 33.6295i | 0.330744 | + | 1.14609i | ||||
\(862\) | −35.8492 | − | 3.76791i | −1.22103 | − | 0.128335i | ||||
\(863\) | −30.1687 | − | 15.3717i | −1.02696 | − | 0.523260i | −0.142456 | − | 0.989801i | \(-0.545500\pi\) |
−0.884499 | + | 0.466541i | \(0.845500\pi\) | |||||||
\(864\) | −5.33735 | + | 3.50492i | −0.181580 | + | 0.119240i | ||||
\(865\) | 7.54322 | + | 9.31510i | 0.256477 | + | 0.316723i | ||||
\(866\) | 21.0093 | + | 3.32754i | 0.713924 | + | 0.113074i | ||||
\(867\) | 8.90737 | + | 21.9392i | 0.302510 | + | 0.745093i | ||||
\(868\) | 1.14101 | + | 0.658765i | 0.0387286 | + | 0.0223600i | ||||
\(869\) | −17.4164 | − | 3.08809i | −0.590811 | − | 0.104756i | ||||
\(870\) | −0.210286 | − | 1.18086i | −0.00712935 | − | 0.0400348i | ||||
\(871\) | 4.82255 | + | 19.3176i | 0.163406 | + | 0.654552i | ||||
\(872\) | 13.7590 | + | 18.9377i | 0.465939 | + | 0.641310i | ||||
\(873\) | 44.0311 | + | 0.618948i | 1.49023 | + | 0.0209482i | ||||
\(874\) | 17.2797 | + | 3.67292i | 0.584496 | + | 0.124238i | ||||
\(875\) | 9.66671 | − | 10.7360i | 0.326794 | − | 0.362942i | ||||
\(876\) | −1.30807 | + | 0.452891i | −0.0441956 | + | 0.0153018i | ||||
\(877\) | 1.44286 | + | 3.75878i | 0.0487219 | + | 0.126925i | 0.955782 | − | 0.294077i | \(-0.0950121\pi\) |
−0.907060 | + | 0.421001i | \(0.861679\pi\) | |||||||
\(878\) | 3.23918 | + | 2.10355i | 0.109317 | + | 0.0709914i | ||||
\(879\) | −22.9527 | + | 32.8987i | −0.774177 | + | 1.10965i | ||||
\(880\) | −4.77069 | + | 7.92265i | −0.160820 | + | 0.267073i | ||||
\(881\) | −17.7809 | + | 30.7974i | −0.599053 | + | 1.03759i | 0.393909 | + | 0.919150i | \(0.371123\pi\) |
−0.992961 | + | 0.118440i | \(0.962211\pi\) | |||||||
\(882\) | 3.81363 | + | 12.3239i | 0.128412 | + | 0.414969i | ||||
\(883\) | −13.4293 | − | 18.4838i | −0.451930 | − | 0.622029i | 0.520880 | − | 0.853630i | \(-0.325604\pi\) |
−0.972811 | + | 0.231601i | \(0.925604\pi\) | |||||||
\(884\) | 0.942279 | + | 1.08331i | 0.0316923 | + | 0.0364358i | ||||
\(885\) | −8.38691 | + | 4.47769i | −0.281923 | + | 0.150516i | ||||
\(886\) | 20.3751 | + | 31.3750i | 0.684516 | + | 1.05406i | ||||
\(887\) | 8.09786 | + | 18.1881i | 0.271900 | + | 0.610697i | 0.996954 | − | 0.0779954i | \(-0.0248519\pi\) |
−0.725054 | + | 0.688692i | \(0.758185\pi\) | |||||||
\(888\) | −14.4526 | + | 58.3885i | −0.484997 | + | 1.95939i | ||||
\(889\) | 18.6942 | − | 9.52519i | 0.626985 | − | 0.319465i | ||||
\(890\) | −0.838249 | − | 0.224608i | −0.0280982 | − | 0.00752888i | ||||
\(891\) | 28.4421 | + | 9.05805i | 0.952845 | + | 0.303456i | ||||
\(892\) | 1.26233 | − | 1.26233i | 0.0422659 | − | 0.0422659i | ||||
\(893\) | −1.16863 | − | 5.49799i | −0.0391069 | − | 0.183983i | ||||
\(894\) | −8.45618 | − | 29.3023i | −0.282817 | − | 0.980014i | ||||
\(895\) | 0.150095 | − | 0.391010i | 0.00501712 | − | 0.0130700i | ||||
\(896\) | 5.47696 | + | 16.8563i | 0.182972 | + | 0.563131i | ||||
\(897\) | −11.8818 | − | 3.15830i | −0.396722 | − | 0.105453i | ||||
\(898\) | −11.8209 | − | 8.58837i | −0.394468 | − | 0.286598i | ||||
\(899\) | −1.57882 | − | 1.27850i | −0.0526565 | − | 0.0426404i | ||||
\(900\) | 2.53140 | + | 1.33496i | 0.0843800 | + | 0.0444986i | ||||
\(901\) | 12.2964 | − | 7.09932i | 0.409652 | − | 0.236513i | ||||
\(902\) | −25.7731 | + | 38.1318i | −0.858151 | + | 1.26965i | ||||
\(903\) | −34.8278 | − | 2.98744i | −1.15900 | − | 0.0994157i | ||||
\(904\) | −29.3217 | + | 45.1515i | −0.975226 | + | 1.50172i | ||||
\(905\) | −11.8107 | − | 1.87064i | −0.392602 | − | 0.0621821i | ||||
\(906\) | 1.22539 | + | 17.1062i | 0.0407108 | + | 0.568317i | ||||
\(907\) | 3.43546 | − | 16.1626i | 0.114073 | − | 0.536669i | −0.883585 | − | 0.468270i | \(-0.844877\pi\) |
0.997658 | − | 0.0683994i | \(-0.0217892\pi\) | |||||||
\(908\) | −0.224804 | − | 0.346168i | −0.00746038 | − | 0.0114880i | ||||
\(909\) | 34.5615 | + | 9.78342i | 1.14633 | + | 0.324496i | ||||
\(910\) | −7.34703 | + | 1.03480i | −0.243552 | + | 0.0343032i | ||||
\(911\) | 18.8298 | + | 6.11817i | 0.623859 | + | 0.202704i | 0.603853 | − | 0.797096i | \(-0.293631\pi\) |
0.0200060 | + | 0.999800i | \(0.493631\pi\) | |||||||
\(912\) | 17.3642 | + | 37.0732i | 0.574987 | + | 1.22761i | ||||
\(913\) | 14.5418 | − | 42.1020i | 0.481263 | − | 1.39337i | ||||
\(914\) | −25.1742 | − | 43.6031i | −0.832690 | − | 1.44226i | ||||
\(915\) | −0.655195 | + | 0.495472i | −0.0216601 | + | 0.0163798i | ||||
\(916\) | 1.85028 | + | 4.82015i | 0.0611351 | + | 0.159262i | ||||
\(917\) | 17.1141 | − | 13.8587i | 0.565156 | − | 0.457654i | ||||
\(918\) | 0.726730 | + | 12.6346i | 0.0239857 | + | 0.417005i | ||||
\(919\) | −5.22521 | + | 5.80319i | −0.172364 | + | 0.191429i | −0.823137 | − | 0.567843i | \(-0.807778\pi\) |
0.650773 | + | 0.759272i | \(0.274445\pi\) | |||||||
\(920\) | −4.22340 | + | 1.88038i | −0.139241 | + | 0.0619942i | ||||
\(921\) | 0.550668 | − | 0.997423i | 0.0181451 | − | 0.0328662i | ||||
\(922\) | 20.4906 | + | 6.65781i | 0.674823 | + | 0.219263i | ||||
\(923\) | 52.9538 | − | 1.86503i | 1.74300 | − | 0.0613881i | ||||
\(924\) | −1.32577 | + | 2.04484i | −0.0436145 | + | 0.0672702i | ||||
\(925\) | 49.5189 | − | 13.2685i | 1.62817 | − | 0.436267i | ||||
\(926\) | 13.5724 | − | 12.2206i | 0.446016 | − | 0.401595i | ||||
\(927\) | −0.332470 | + | 4.99850i | −0.0109197 | + | 0.164172i | ||||
\(928\) | 0.125747 | + | 0.793938i | 0.00412786 | + | 0.0260623i | ||||
\(929\) | 2.09949 | + | 40.0606i | 0.0688819 | + | 1.31434i | 0.786362 | + | 0.617766i | \(0.211962\pi\) |
−0.717480 | + | 0.696579i | \(0.754705\pi\) | |||||||
\(930\) | 5.54653 | − | 1.29044i | 0.181878 | − | 0.0423154i | ||||
\(931\) | −21.3902 | + | 3.38788i | −0.701036 | + | 0.111033i | ||||
\(932\) | 0.110233 | − | 0.247588i | 0.00361082 | − | 0.00811003i | ||||
\(933\) | −1.73024 | + | 2.22238i | −0.0566456 | + | 0.0727575i | ||||
\(934\) | 4.52115 | + | 16.8731i | 0.147936 | + | 0.552106i | ||||
\(935\) | −2.32283 | − | 4.19993i | −0.0759646 | − | 0.137352i | ||||
\(936\) | −12.1075 | − | 29.6511i | −0.395745 | − | 0.969175i | ||||
\(937\) | −5.50096 | + | 16.9302i | −0.179709 | + | 0.553086i | −0.999817 | − | 0.0191218i | \(-0.993913\pi\) |
0.820109 | + | 0.572208i | \(0.193913\pi\) | |||||||
\(938\) | −11.1351 | − | 9.01704i | −0.363575 | − | 0.294417i | ||||
\(939\) | −4.97685 | − | 7.35152i | −0.162414 | − | 0.239908i | ||||
\(940\) | 0.107549 | + | 0.0968372i | 0.00350785 | + | 0.00315848i | ||||
\(941\) | −24.8330 | − | 12.6530i | −0.809532 | − | 0.412477i | −0.000324610 | − | 1.00000i | \(-0.500103\pi\) |
−0.809208 | + | 0.587523i | \(0.800103\pi\) | |||||||
\(942\) | −14.6264 | + | 16.8836i | −0.476554 | + | 0.550097i | ||||
\(943\) | −19.1073 | + | 7.33460i | −0.622219 | + | 0.238847i | ||||
\(944\) | −21.6816 | + | 11.0473i | −0.705676 | + | 0.359560i | ||||
\(945\) | 6.95768 | + | 3.96988i | 0.226333 | + | 0.129140i | ||||
\(946\) | −26.3281 | − | 37.6768i | −0.856001 | − | 1.22498i | ||||
\(947\) | 44.6963 | − | 11.9763i | 1.45243 | − | 0.389179i | 0.555564 | − | 0.831473i | \(-0.312502\pi\) |
0.896870 | + | 0.442295i | \(0.145836\pi\) | |||||||
\(948\) | 0.277179 | − | 1.99683i | 0.00900235 | − | 0.0648542i | ||||
\(949\) | −1.84146 | − | 13.0743i | −0.0597762 | − | 0.424410i | ||||
\(950\) | 23.0546 | − | 31.7320i | 0.747990 | − | 1.02952i | ||||
\(951\) | 20.8036 | + | 22.2333i | 0.674603 | + | 0.720964i | ||||
\(952\) | −10.2723 | − | 2.18345i | −0.332929 | − | 0.0707661i | ||||
\(953\) | −2.61815 | + | 24.9101i | −0.0848103 | + | 0.806916i | 0.866603 | + | 0.498999i | \(0.166299\pi\) |
−0.951413 | + | 0.307918i | \(0.900368\pi\) | |||||||
\(954\) | −30.5686 | + | 6.04978i | −0.989696 | + | 0.195869i | ||||
\(955\) | 2.62429 | + | 1.70423i | 0.0849199 | + | 0.0551476i | ||||
\(956\) | −1.44271 | + | 5.38428i | −0.0466607 | + | 0.174140i | ||||
\(957\) | 2.51233 | − | 2.79441i | 0.0812120 | − | 0.0903305i | ||||
\(958\) | 1.41740 | + | 2.45501i | 0.0457941 | + | 0.0793177i | ||||
\(959\) | −15.1174 | − | 16.7896i | −0.488167 | − | 0.542164i | ||||
\(960\) | −10.4288 | − | 5.75763i | −0.336587 | − | 0.185827i | ||||
\(961\) | −12.5519 | + | 17.2762i | −0.404900 | + | 0.557298i | ||||
\(962\) | −51.1656 | − | 23.8403i | −1.64964 | − | 0.768642i | ||||
\(963\) | 19.3180 | − | 15.1989i | 0.622515 | − | 0.489777i | ||||
\(964\) | −4.54725 | − | 1.74553i | −0.146457 | − | 0.0562196i | ||||
\(965\) | 10.6207 | − | 1.11629i | 0.341894 | − | 0.0359345i | ||||
\(966\) | 8.19757 | − | 3.32824i | 0.263752 | − | 0.107084i | ||||
\(967\) | 10.9002 | + | 10.9002i | 0.350528 | + | 0.350528i | 0.860306 | − | 0.509778i | \(-0.170272\pi\) |
−0.509778 | + | 0.860306i | \(0.670272\pi\) | |||||||
\(968\) | −32.3354 | + | 3.90776i | −1.03930 | + | 0.125600i | ||||
\(969\) | −21.1678 | − | 1.81572i | −0.680008 | − | 0.0583293i | ||||
\(970\) | 7.05465 | + | 13.8455i | 0.226511 | + | 0.444553i | ||||
\(971\) | −0.135061 | + | 0.303353i | −0.00433433 | + | 0.00973506i | −0.915700 | − | 0.401863i | \(-0.868363\pi\) |
0.911365 | + | 0.411598i | \(0.135029\pi\) | |||||||
\(972\) | −0.909934 | + | 3.27814i | −0.0291861 | + | 0.105146i | ||||
\(973\) | −27.7147 | + | 17.9981i | −0.888491 | + | 0.576993i | ||||
\(974\) | −2.74498 | − | 8.44818i | −0.0879548 | − | 0.270697i | ||||
\(975\) | −17.1361 | + | 21.2480i | −0.548795 | + | 0.680479i | ||||
\(976\) | −1.70093 | + | 1.23580i | −0.0544455 | + | 0.0395570i | ||||
\(977\) | 4.79942 | + | 0.251527i | 0.153547 | + | 0.00804706i | 0.128955 | − | 0.991650i | \(-0.458838\pi\) |
0.0245925 | + | 0.999698i | \(0.492171\pi\) | |||||||
\(978\) | −7.09453 | + | 19.5956i | −0.226858 | + | 0.626597i | ||||
\(979\) | −1.05994 | − | 2.50368i | −0.0338757 | − | 0.0800181i | ||||
\(980\) | 0.394287 | − | 0.394287i | 0.0125950 | − | 0.0125950i | ||||
\(981\) | 23.1269 | + | 5.25659i | 0.738387 | + | 0.167830i | ||||
\(982\) | 2.86397 | − | 1.09938i | 0.0913931 | − | 0.0350825i | ||||
\(983\) | −1.83256 | − | 11.5703i | −0.0584497 | − | 0.369037i | −0.999524 | − | 0.0308380i | \(-0.990182\pi\) |
0.941075 | − | 0.338199i | \(-0.109818\pi\) | |||||||
\(984\) | −45.2633 | − | 28.1769i | −1.44294 | − | 0.898246i | ||||
\(985\) | 0.920922 | − | 4.33260i | 0.0293430 | − | 0.138048i | ||||
\(986\) | 1.48737 | + | 0.570946i | 0.0473674 | + | 0.0181826i | ||||
\(987\) | −2.02829 | − | 1.95205i | −0.0645612 | − | 0.0621344i | ||||
\(988\) | 5.13238 | − | 1.28128i | 0.163283 | − | 0.0407628i | ||||
\(989\) | − | 20.4397i | − | 0.649945i | ||||||
\(990\) | 1.85444 | + | 10.3688i | 0.0589381 | + | 0.329542i | ||||
\(991\) | −23.4575 | + | 40.6295i | −0.745151 | + | 1.29064i | 0.204974 | + | 0.978767i | \(0.434289\pi\) |
−0.950124 | + | 0.311871i | \(0.899044\pi\) | |||||||
\(992\) | −3.73304 | + | 0.793482i | −0.118524 | + | 0.0251931i | ||||
\(993\) | −0.814536 | − | 42.5251i | −0.0258485 | − | 1.34949i | ||||
\(994\) | −29.6333 | + | 23.9965i | −0.939910 | + | 0.761124i | ||||
\(995\) | −9.84415 | + | 0.515910i | −0.312081 | + | 0.0163555i | ||||
\(996\) | 4.85739 | + | 1.47604i | 0.153912 | + | 0.0467700i | ||||
\(997\) | −1.32946 | + | 12.6489i | −0.0421044 | + | 0.400596i | 0.953091 | + | 0.302685i | \(0.0978829\pi\) |
−0.995195 | + | 0.0979116i | \(0.968784\pi\) | |||||||
\(998\) | 4.23760 | + | 40.3181i | 0.134139 | + | 1.27625i | ||||
\(999\) | 27.9441 | + | 54.1594i | 0.884113 | + | 1.71353i |
(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 | 429.2.bv.a.20.16 | ✓ | 832 | |
3.2 | odd | 2 | inner | 429.2.bv.a.20.37 | yes | 832 | |
11.5 | even | 5 | inner | 429.2.bv.a.137.37 | yes | 832 | |
13.2 | odd | 12 | inner | 429.2.bv.a.119.16 | yes | 832 | |
33.5 | odd | 10 | inner | 429.2.bv.a.137.16 | yes | 832 | |
39.2 | even | 12 | inner | 429.2.bv.a.119.37 | yes | 832 | |
143.93 | odd | 60 | inner | 429.2.bv.a.236.37 | yes | 832 | |
429.236 | even | 60 | inner | 429.2.bv.a.236.16 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bv.a.20.16 | ✓ | 832 | 1.1 | even | 1 | trivial | |
429.2.bv.a.20.37 | yes | 832 | 3.2 | odd | 2 | inner | |
429.2.bv.a.119.16 | yes | 832 | 13.2 | odd | 12 | inner | |
429.2.bv.a.119.37 | yes | 832 | 39.2 | even | 12 | inner | |
429.2.bv.a.137.16 | yes | 832 | 33.5 | odd | 10 | inner | |
429.2.bv.a.137.37 | yes | 832 | 11.5 | even | 5 | inner | |
429.2.bv.a.236.16 | yes | 832 | 429.236 | even | 60 | inner | |
429.2.bv.a.236.37 | yes | 832 | 143.93 | odd | 60 | inner |