Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.14 | ||
Character | \(\chi\) | \(=\) | 224.37 |
Dual form | 224.2.bd.a.109.14 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.399779 | − | 1.35653i | −0.282686 | − | 0.959212i | ||||
\(3\) | 1.62045 | − | 2.11181i | 0.935568 | − | 1.21926i | −0.0399198 | − | 0.999203i | \(-0.512710\pi\) |
0.975488 | − | 0.220053i | \(-0.0706231\pi\) | |||||||
\(4\) | −1.68035 | + | 1.08463i | −0.840177 | + | 0.542313i | ||||
\(5\) | 1.05240 | − | 0.807534i | 0.470647 | − | 0.361140i | −0.346041 | − | 0.938219i | \(-0.612474\pi\) |
0.816688 | + | 0.577079i | \(0.195808\pi\) | |||||||
\(6\) | −3.51256 | − | 1.35393i | −1.43400 | − | 0.552741i | ||||
\(7\) | 2.64452 | − | 0.0808662i | 0.999533 | − | 0.0305646i | ||||
\(8\) | 2.14310 | + | 1.84584i | 0.757700 | + | 0.652604i | ||||
\(9\) | −1.05744 | − | 3.94640i | −0.352479 | − | 1.31547i | ||||
\(10\) | −1.51617 | − | 1.10478i | −0.479456 | − | 0.349361i | ||||
\(11\) | −1.69616 | + | 0.223304i | −0.511412 | + | 0.0673287i | −0.381816 | − | 0.924238i | \(-0.624701\pi\) |
−0.129596 | + | 0.991567i | \(0.541368\pi\) | |||||||
\(12\) | −0.432405 | + | 5.30618i | −0.124825 | + | 1.53176i | ||||
\(13\) | −0.550667 | + | 0.228094i | −0.152728 | + | 0.0632619i | −0.457738 | − | 0.889087i | \(-0.651340\pi\) |
0.305010 | + | 0.952349i | \(0.401340\pi\) | |||||||
\(14\) | −1.16692 | − | 3.55504i | −0.311872 | − | 0.950124i | ||||
\(15\) | − | 3.53104i | − | 0.911710i | ||||||
\(16\) | 1.64718 | − | 3.64511i | 0.411794 | − | 0.911277i | ||||
\(17\) | −4.66215 | + | 2.69169i | −1.13074 | + | 0.652831i | −0.944120 | − | 0.329601i | \(-0.893086\pi\) |
−0.186617 | + | 0.982433i | \(0.559752\pi\) | |||||||
\(18\) | −4.93068 | + | 3.01213i | −1.16217 | + | 0.709967i | ||||
\(19\) | −0.654477 | + | 4.97125i | −0.150147 | + | 1.14048i | 0.735967 | + | 0.677017i | \(0.236728\pi\) |
−0.886115 | + | 0.463466i | \(0.846606\pi\) | |||||||
\(20\) | −0.892530 | + | 2.49840i | −0.199576 | + | 0.558659i | ||||
\(21\) | 4.11453 | − | 5.71576i | 0.897865 | − | 1.24728i | ||||
\(22\) | 0.981009 | + | 2.21162i | 0.209152 | + | 0.471520i | ||||
\(23\) | 1.35463 | + | 5.05554i | 0.282459 | + | 1.05415i | 0.950676 | + | 0.310186i | \(0.100391\pi\) |
−0.668217 | + | 0.743967i | \(0.732942\pi\) | |||||||
\(24\) | 7.37086 | − | 1.53473i | 1.50457 | − | 0.313275i | ||||
\(25\) | −0.838663 | + | 3.12993i | −0.167733 | + | 0.625987i | ||||
\(26\) | 0.529562 | + | 0.655810i | 0.103856 | + | 0.128615i | ||||
\(27\) | −2.66982 | − | 1.10587i | −0.513807 | − | 0.212826i | ||||
\(28\) | −4.35601 | + | 3.00419i | −0.823209 | + | 0.567739i | ||||
\(29\) | −3.87939 | − | 9.36567i | −0.720384 | − | 1.73916i | −0.672255 | − | 0.740319i | \(-0.734674\pi\) |
−0.0481284 | − | 0.998841i | \(-0.515326\pi\) | |||||||
\(30\) | −4.78996 | + | 1.41163i | −0.874524 | + | 0.257728i | ||||
\(31\) | 1.43967 | + | 2.49358i | 0.258572 | + | 0.447860i | 0.965860 | − | 0.259066i | \(-0.0834147\pi\) |
−0.707288 | + | 0.706926i | \(0.750081\pi\) | |||||||
\(32\) | −5.60321 | − | 0.777209i | −0.990517 | − | 0.137392i | ||||
\(33\) | −2.27697 | + | 3.94383i | −0.396370 | + | 0.686533i | ||||
\(34\) | 5.51519 | + | 5.24827i | 0.945848 | + | 0.900071i | ||||
\(35\) | 2.71778 | − | 2.22064i | 0.459389 | − | 0.375356i | ||||
\(36\) | 6.05724 | + | 5.48443i | 1.00954 | + | 0.914072i | ||||
\(37\) | 4.83651 | − | 3.71118i | 0.795117 | − | 0.610115i | −0.129253 | − | 0.991612i | \(-0.541258\pi\) |
0.924370 | + | 0.381497i | \(0.124591\pi\) | |||||||
\(38\) | 7.00530 | − | 1.09958i | 1.13641 | − | 0.178376i | ||||
\(39\) | −0.410638 | + | 1.53252i | −0.0657547 | + | 0.245400i | ||||
\(40\) | 3.74597 | + | 0.211937i | 0.592290 | + | 0.0335102i | ||||
\(41\) | 2.70535 | − | 2.70535i | 0.422505 | − | 0.422505i | −0.463561 | − | 0.886065i | \(-0.653428\pi\) |
0.886065 | + | 0.463561i | \(0.153428\pi\) | |||||||
\(42\) | −9.39851 | − | 3.29645i | −1.45022 | − | 0.508654i | ||||
\(43\) | 1.10066 | − | 2.65723i | 0.167849 | − | 0.405224i | −0.817464 | − | 0.575980i | \(-0.804621\pi\) |
0.985313 | + | 0.170755i | \(0.0546208\pi\) | |||||||
\(44\) | 2.60795 | − | 2.21493i | 0.393163 | − | 0.333913i | ||||
\(45\) | −4.29970 | − | 3.29928i | −0.640961 | − | 0.491827i | ||||
\(46\) | 6.31644 | − | 3.85869i | 0.931309 | − | 0.568933i | ||||
\(47\) | −8.38206 | − | 4.83939i | −1.22265 | − | 0.705897i | −0.257168 | − | 0.966367i | \(-0.582789\pi\) |
−0.965482 | + | 0.260470i | \(0.916123\pi\) | |||||||
\(48\) | −5.02862 | − | 9.38525i | −0.725818 | − | 1.35464i | ||||
\(49\) | 6.98692 | − | 0.427704i | 0.998132 | − | 0.0611005i | ||||
\(50\) | 4.58113 | − | 0.113609i | 0.647870 | − | 0.0160667i | ||||
\(51\) | −1.87043 | + | 14.2073i | −0.261913 | + | 1.98943i | ||||
\(52\) | 0.677920 | − | 0.980546i | 0.0940105 | − | 0.135977i | ||||
\(53\) | 6.88442 | − | 0.906351i | 0.945648 | − | 0.124497i | 0.358097 | − | 0.933684i | \(-0.383426\pi\) |
0.587551 | + | 0.809187i | \(0.300092\pi\) | |||||||
\(54\) | −0.432817 | + | 4.06380i | −0.0588989 | + | 0.553013i | ||||
\(55\) | −1.60471 | + | 1.60471i | −0.216379 | + | 0.216379i | ||||
\(56\) | 5.81672 | + | 4.70805i | 0.777292 | + | 0.629140i | ||||
\(57\) | 9.43780 | + | 9.43780i | 1.25007 | + | 1.25007i | ||||
\(58\) | −11.1539 | + | 9.00670i | −1.46458 | + | 1.18264i | ||||
\(59\) | −0.0283506 | − | 0.215344i | −0.00369093 | − | 0.0280354i | 0.989500 | − | 0.144531i | \(-0.0461673\pi\) |
−0.993191 | + | 0.116495i | \(0.962834\pi\) | |||||||
\(60\) | 3.82985 | + | 5.93339i | 0.494432 | + | 0.765998i | ||||
\(61\) | 4.05592 | + | 0.533972i | 0.519308 | + | 0.0683682i | 0.385624 | − | 0.922656i | \(-0.373986\pi\) |
0.133684 | + | 0.991024i | \(0.457319\pi\) | |||||||
\(62\) | 2.80707 | − | 2.94984i | 0.356498 | − | 0.374629i | ||||
\(63\) | −3.11554 | − | 10.3508i | −0.392521 | − | 1.30408i | ||||
\(64\) | 1.18574 | + | 7.91164i | 0.148217 | + | 0.988955i | ||||
\(65\) | −0.395328 | + | 0.684728i | −0.0490344 | + | 0.0849301i | ||||
\(66\) | 6.26022 | + | 1.51212i | 0.770579 | + | 0.186129i | ||||
\(67\) | −8.41153 | + | 10.9621i | −1.02763 | + | 1.33924i | −0.0883499 | + | 0.996089i | \(0.528159\pi\) |
−0.939282 | + | 0.343146i | \(0.888507\pi\) | |||||||
\(68\) | 4.91458 | − | 9.57968i | 0.595980 | − | 1.16171i | ||||
\(69\) | 12.8715 | + | 5.33153i | 1.54954 | + | 0.641841i | ||||
\(70\) | −4.09888 | − | 2.79899i | −0.489910 | − | 0.334543i | ||||
\(71\) | 6.41498 | + | 6.41498i | 0.761319 | + | 0.761319i | 0.976561 | − | 0.215242i | \(-0.0690541\pi\) |
−0.215242 | + | 0.976561i | \(0.569054\pi\) | |||||||
\(72\) | 5.01825 | − | 10.4094i | 0.591406 | − | 1.22676i | ||||
\(73\) | −9.61077 | − | 2.57520i | −1.12486 | − | 0.301404i | −0.352009 | − | 0.935997i | \(-0.614501\pi\) |
−0.772847 | + | 0.634593i | \(0.781168\pi\) | |||||||
\(74\) | −6.96787 | − | 5.07722i | −0.809999 | − | 0.590215i | ||||
\(75\) | 5.25082 | + | 6.84301i | 0.606313 | + | 0.790162i | ||||
\(76\) | −4.29219 | − | 9.06332i | −0.492348 | − | 1.03963i | ||||
\(77\) | −4.46747 | + | 0.727693i | −0.509115 | + | 0.0829283i | ||||
\(78\) | 2.24308 | − | 0.0556267i | 0.253979 | − | 0.00629849i | ||||
\(79\) | 4.05809 | + | 2.34294i | 0.456571 | + | 0.263601i | 0.710601 | − | 0.703595i | \(-0.248423\pi\) |
−0.254030 | + | 0.967196i | \(0.581756\pi\) | |||||||
\(80\) | −1.21006 | − | 5.16626i | −0.135289 | − | 0.577605i | ||||
\(81\) | 3.95304 | − | 2.28229i | 0.439226 | − | 0.253587i | ||||
\(82\) | −4.75143 | − | 2.58835i | −0.524708 | − | 0.285835i | ||||
\(83\) | 9.11873 | − | 3.77710i | 1.00091 | − | 0.414591i | 0.178780 | − | 0.983889i | \(-0.442785\pi\) |
0.822131 | + | 0.569298i | \(0.192785\pi\) | |||||||
\(84\) | −0.714412 | + | 14.0672i | −0.0779488 | + | 1.53486i | ||||
\(85\) | −2.73281 | + | 6.59758i | −0.296414 | + | 0.715608i | ||||
\(86\) | −4.04464 | − | 0.430776i | −0.436145 | − | 0.0464518i | ||||
\(87\) | −26.0649 | − | 6.98407i | −2.79445 | − | 0.748771i | ||||
\(88\) | −4.04723 | − | 2.65228i | −0.431436 | − | 0.282735i | ||||
\(89\) | −16.1173 | + | 4.31863i | −1.70844 | + | 0.457774i | −0.975040 | − | 0.222028i | \(-0.928732\pi\) |
−0.733395 | + | 0.679802i | \(0.762066\pi\) | |||||||
\(90\) | −2.75664 | + | 7.15166i | −0.290575 | + | 0.753851i | ||||
\(91\) | −1.43780 | + | 0.647728i | −0.150723 | + | 0.0679004i | ||||
\(92\) | −7.75962 | − | 7.02583i | −0.808996 | − | 0.732493i | ||||
\(93\) | 7.59889 | + | 1.00041i | 0.787968 | + | 0.103738i | ||||
\(94\) | −3.21381 | + | 13.3052i | −0.331479 | + | 1.37233i | ||||
\(95\) | 3.32568 | + | 5.76025i | 0.341208 | + | 0.590989i | ||||
\(96\) | −10.7210 | + | 10.5735i | −1.09421 | + | 1.07915i | ||||
\(97\) | −9.28832 | −0.943086 | −0.471543 | − | 0.881843i | \(-0.656303\pi\) | ||||
−0.471543 | + | 0.881843i | \(0.656303\pi\) | |||||||
\(98\) | −3.37342 | − | 9.30699i | −0.340767 | − | 0.940148i | ||||
\(99\) | 2.67483 | + | 6.45761i | 0.268831 | + | 0.649015i | ||||
\(100\) | −1.98555 | − | 6.16903i | −0.198555 | − | 0.616903i | ||||
\(101\) | −1.94029 | − | 14.7380i | −0.193066 | − | 1.46648i | −0.763855 | − | 0.645388i | \(-0.776696\pi\) |
0.570789 | − | 0.821097i | \(-0.306637\pi\) | |||||||
\(102\) | 20.0205 | − | 3.14250i | 1.98232 | − | 0.311154i | ||||
\(103\) | 6.26364 | − | 1.67834i | 0.617175 | − | 0.165372i | 0.0633318 | − | 0.997993i | \(-0.479827\pi\) |
0.553843 | + | 0.832621i | \(0.313161\pi\) | |||||||
\(104\) | −1.60116 | − | 0.527617i | −0.157007 | − | 0.0517371i | ||||
\(105\) | −0.285542 | − | 9.33789i | −0.0278660 | − | 0.911284i | ||||
\(106\) | −3.98174 | − | 8.97659i | −0.386741 | − | 0.871884i | ||||
\(107\) | 1.46810 | + | 1.91327i | 0.141927 | + | 0.184963i | 0.858908 | − | 0.512130i | \(-0.171143\pi\) |
−0.716981 | + | 0.697093i | \(0.754477\pi\) | |||||||
\(108\) | 5.68570 | − | 1.03749i | 0.547107 | − | 0.0998326i | ||||
\(109\) | 1.07390 | + | 0.824034i | 0.102861 | + | 0.0789282i | 0.658912 | − | 0.752220i | \(-0.271017\pi\) |
−0.556050 | + | 0.831149i | \(0.687684\pi\) | |||||||
\(110\) | 2.81837 | + | 1.53531i | 0.268721 | + | 0.146386i | ||||
\(111\) | − | 16.2276i | − | 1.54026i | ||||||
\(112\) | 4.06122 | − | 9.77274i | 0.383749 | − | 0.923437i | ||||
\(113\) | − | 9.70571i | − | 0.913036i | −0.889714 | − | 0.456518i | \(-0.849096\pi\) | ||
0.889714 | − | 0.456518i | \(-0.150904\pi\) | |||||||
\(114\) | 9.02964 | − | 16.5757i | 0.845703 | − | 1.55246i | ||||
\(115\) | 5.50813 | + | 4.22653i | 0.513635 | + | 0.394126i | ||||
\(116\) | 16.6770 | + | 11.5300i | 1.54842 | + | 1.07053i | ||||
\(117\) | 1.48245 | + | 1.93196i | 0.137052 | + | 0.178610i | ||||
\(118\) | −0.280787 | + | 0.124548i | −0.0258485 | + | 0.0114656i | ||||
\(119\) | −12.1115 | + | 7.49523i | −1.11026 | + | 0.687087i | ||||
\(120\) | 6.51774 | − | 7.56736i | 0.594985 | − | 0.690802i | ||||
\(121\) | −7.79808 | + | 2.08949i | −0.708917 | + | 0.189954i | ||||
\(122\) | −0.897123 | − | 5.71546i | −0.0812217 | − | 0.517453i | ||||
\(123\) | −1.32931 | − | 10.0971i | −0.119860 | − | 0.910423i | ||||
\(124\) | −5.12375 | − | 2.62859i | −0.460126 | − | 0.236055i | ||||
\(125\) | 4.18310 | + | 10.0989i | 0.374148 | + | 0.903274i | ||||
\(126\) | −12.7957 | + | 8.36436i | −1.13993 | + | 0.745156i | ||||
\(127\) | −15.3584 | −1.36283 | −0.681417 | − | 0.731895i | \(-0.738636\pi\) | ||||
−0.681417 | + | 0.731895i | \(0.738636\pi\) | |||||||
\(128\) | 10.2584 | − | 4.77140i | 0.906719 | − | 0.421736i | ||||
\(129\) | −3.82801 | − | 6.63031i | −0.337038 | − | 0.583766i | ||||
\(130\) | 1.08690 | + | 0.262535i | 0.0953273 | + | 0.0230258i | ||||
\(131\) | −13.2843 | − | 1.74892i | −1.16066 | − | 0.152804i | −0.474500 | − | 0.880256i | \(-0.657371\pi\) |
−0.686158 | + | 0.727452i | \(0.740704\pi\) | |||||||
\(132\) | −0.451461 | − | 9.09669i | −0.0392946 | − | 0.791766i | ||||
\(133\) | −1.32877 | + | 13.1995i | −0.115219 | + | 1.14454i | ||||
\(134\) | 18.2332 | + | 7.02808i | 1.57511 | + | 0.607133i | ||||
\(135\) | −3.70274 | + | 0.992147i | −0.318681 | + | 0.0853904i | ||||
\(136\) | −14.9599 | − | 2.83703i | −1.28280 | − | 0.243273i | ||||
\(137\) | 7.49981 | + | 2.00957i | 0.640752 | + | 0.171689i | 0.564544 | − | 0.825403i | \(-0.309052\pi\) |
0.0762081 | + | 0.997092i | \(0.475719\pi\) | |||||||
\(138\) | 2.08665 | − | 19.5920i | 0.177628 | − | 1.66778i | ||||
\(139\) | 0.525559 | − | 1.26881i | 0.0445774 | − | 0.107619i | −0.900023 | − | 0.435843i | \(-0.856450\pi\) |
0.944600 | + | 0.328224i | \(0.106450\pi\) | |||||||
\(140\) | −2.15827 | + | 6.67923i | −0.182407 | + | 0.564498i | ||||
\(141\) | −23.8026 | + | 9.85936i | −2.00454 | + | 0.830308i | ||||
\(142\) | 6.13755 | − | 11.2667i | 0.515052 | − | 0.945481i | ||||
\(143\) | 0.883087 | − | 0.509851i | 0.0738474 | − | 0.0426358i | ||||
\(144\) | −16.1269 | − | 2.64596i | −1.34390 | − | 0.220496i | ||||
\(145\) | −11.6458 | − | 6.72368i | −0.967127 | − | 0.558371i | ||||
\(146\) | 0.348847 | + | 14.0668i | 0.0288708 | + | 1.16418i | ||||
\(147\) | 10.4187 | − | 15.4481i | 0.859323 | − | 1.27414i | ||||
\(148\) | −4.10180 | + | 11.4819i | −0.337166 | + | 0.943807i | ||||
\(149\) | −5.81887 | − | 7.58329i | −0.476700 | − | 0.621248i | 0.491665 | − | 0.870784i | \(-0.336388\pi\) |
−0.968365 | + | 0.249537i | \(0.919722\pi\) | |||||||
\(150\) | 7.18358 | − | 9.85860i | 0.586537 | − | 0.804951i | ||||
\(151\) | 10.0907 | + | 2.70380i | 0.821172 | + | 0.220032i | 0.644859 | − | 0.764302i | \(-0.276916\pi\) |
0.176313 | + | 0.984334i | \(0.443583\pi\) | |||||||
\(152\) | −10.5787 | + | 9.44581i | −0.858050 | + | 0.766157i | ||||
\(153\) | 15.5524 | + | 15.5524i | 1.25734 | + | 1.25734i | ||||
\(154\) | 2.77314 | + | 5.76935i | 0.223466 | + | 0.464907i | ||||
\(155\) | 3.52875 | + | 1.46166i | 0.283436 | + | 0.117403i | ||||
\(156\) | −0.972195 | − | 3.02057i | −0.0778379 | − | 0.241839i | ||||
\(157\) | −8.51876 | + | 11.1019i | −0.679871 | + | 0.886026i | −0.998076 | − | 0.0619963i | \(-0.980253\pi\) |
0.318205 | + | 0.948022i | \(0.396920\pi\) | |||||||
\(158\) | 1.55593 | − | 6.44159i | 0.123783 | − | 0.512465i | ||||
\(159\) | 9.24183 | − | 16.0073i | 0.732925 | − | 1.26946i | ||||
\(160\) | −6.52443 | + | 3.70685i | −0.515802 | + | 0.293052i | ||||
\(161\) | 3.99116 | + | 13.2599i | 0.314547 | + | 1.04503i | ||||
\(162\) | −4.67634 | − | 4.45001i | −0.367408 | − | 0.349626i | ||||
\(163\) | 19.8763 | + | 2.61676i | 1.55683 | + | 0.204961i | 0.859254 | − | 0.511549i | \(-0.170928\pi\) |
0.697577 | + | 0.716510i | \(0.254262\pi\) | |||||||
\(164\) | −1.61165 | + | 7.48024i | −0.125849 | + | 0.584108i | ||||
\(165\) | 0.788495 | + | 5.98921i | 0.0613843 | + | 0.466260i | ||||
\(166\) | −8.76923 | − | 10.8598i | −0.680624 | − | 0.842887i | ||||
\(167\) | −6.01405 | − | 6.01405i | −0.465381 | − | 0.465381i | 0.435033 | − | 0.900414i | \(-0.356737\pi\) |
−0.900414 | + | 0.435033i | \(0.856737\pi\) | |||||||
\(168\) | 19.3682 | − | 4.65466i | 1.49429 | − | 0.359115i | ||||
\(169\) | −8.94118 | + | 8.94118i | −0.687783 | + | 0.687783i | ||||
\(170\) | 10.0423 | + | 1.06956i | 0.770212 | + | 0.0820318i | ||||
\(171\) | 20.3106 | − | 2.67395i | 1.55319 | − | 0.204482i | ||||
\(172\) | 1.03260 | + | 5.65890i | 0.0787350 | + | 0.431487i | ||||
\(173\) | −0.741181 | + | 5.62983i | −0.0563510 | + | 0.428028i | 0.939895 | + | 0.341463i | \(0.110922\pi\) |
−0.996246 | + | 0.0865651i | \(0.972411\pi\) | |||||||
\(174\) | 0.946091 | + | 38.1499i | 0.0717230 | + | 2.89214i | ||||
\(175\) | −1.96475 | + | 8.34498i | −0.148521 | + | 0.630821i | ||||
\(176\) | −1.97991 | + | 6.55052i | −0.149241 | + | 0.493764i | ||||
\(177\) | −0.500707 | − | 0.289083i | −0.0376354 | − | 0.0217288i | ||||
\(178\) | 12.3017 | + | 20.1372i | 0.922054 | + | 1.50935i | ||||
\(179\) | 4.22574 | + | 3.24253i | 0.315847 | + | 0.242358i | 0.754502 | − | 0.656298i | \(-0.227878\pi\) |
−0.438655 | + | 0.898655i | \(0.644545\pi\) | |||||||
\(180\) | 10.8035 | + | 0.880387i | 0.805245 | + | 0.0656202i | ||||
\(181\) | 0.166639 | − | 0.402302i | 0.0123862 | − | 0.0299029i | −0.917565 | − | 0.397585i | \(-0.869848\pi\) |
0.929952 | + | 0.367682i | \(0.119848\pi\) | |||||||
\(182\) | 1.45347 | + | 1.69148i | 0.107738 | + | 0.125381i | ||||
\(183\) | 7.70008 | − | 7.70008i | 0.569206 | − | 0.569206i | ||||
\(184\) | −6.42863 | + | 13.3349i | −0.473925 | + | 0.983065i | ||||
\(185\) | 2.09303 | − | 7.81129i | 0.153883 | − | 0.574298i | ||||
\(186\) | −1.68078 | − | 10.7081i | −0.123241 | − | 0.785154i | ||||
\(187\) | 7.30670 | − | 5.60662i | 0.534319 | − | 0.409997i | ||||
\(188\) | 19.3337 | − | 0.959516i | 1.41006 | − | 0.0699799i | ||||
\(189\) | −7.14980 | − | 2.70860i | −0.520072 | − | 0.197022i | ||||
\(190\) | 6.48442 | − | 6.81422i | 0.470429 | − | 0.494355i | ||||
\(191\) | −2.23881 | + | 3.87774i | −0.161995 | + | 0.280583i | −0.935584 | − | 0.353104i | \(-0.885126\pi\) |
0.773589 | + | 0.633687i | \(0.218459\pi\) | |||||||
\(192\) | 18.6293 | + | 10.3164i | 1.34446 | + | 0.744520i | ||||
\(193\) | −11.3376 | − | 19.6373i | −0.816098 | − | 1.41352i | −0.908537 | − | 0.417805i | \(-0.862800\pi\) |
0.0924389 | − | 0.995718i | \(-0.470534\pi\) | |||||||
\(194\) | 3.71328 | + | 12.5999i | 0.266598 | + | 0.904620i | ||||
\(195\) | 0.805408 | + | 1.94443i | 0.0576765 | + | 0.139243i | ||||
\(196\) | −11.2766 | + | 8.29688i | −0.805471 | + | 0.592635i | ||||
\(197\) | −9.07205 | − | 3.75777i | −0.646357 | − | 0.267730i | 0.0353278 | − | 0.999376i | \(-0.488752\pi\) |
−0.681685 | + | 0.731646i | \(0.738752\pi\) | |||||||
\(198\) | 7.69061 | − | 6.21011i | 0.546548 | − | 0.441333i | ||||
\(199\) | 1.01507 | − | 3.78831i | 0.0719567 | − | 0.268546i | −0.920569 | − | 0.390579i | \(-0.872275\pi\) |
0.992526 | + | 0.122033i | \(0.0389414\pi\) | |||||||
\(200\) | −7.57470 | + | 5.15972i | −0.535612 | + | 0.364847i | ||||
\(201\) | 9.51947 | + | 35.5272i | 0.671452 | + | 2.50589i | ||||
\(202\) | −19.2168 | + | 8.52400i | −1.35209 | + | 0.599747i | ||||
\(203\) | −11.0165 | − | 24.4539i | −0.773204 | − | 1.71633i | ||||
\(204\) | −12.2667 | − | 25.9021i | −0.858838 | − | 1.81351i | ||||
\(205\) | 0.662445 | − | 5.03177i | 0.0462672 | − | 0.351434i | ||||
\(206\) | −4.78079 | − | 7.82586i | −0.333093 | − | 0.545254i | ||||
\(207\) | 18.5188 | − | 10.6918i | 1.28714 | − | 0.743133i | ||||
\(208\) | −0.0756195 | + | 2.38295i | −0.00524327 | + | 0.165228i | ||||
\(209\) | − | 8.57819i | − | 0.593366i | ||||||
\(210\) | −12.5530 | + | 4.12044i | −0.866238 | + | 0.284337i | ||||
\(211\) | 20.7378 | − | 8.58990i | 1.42765 | − | 0.591353i | 0.470882 | − | 0.882196i | \(-0.343936\pi\) |
0.956771 | + | 0.290843i | \(0.0939359\pi\) | |||||||
\(212\) | −10.5852 | + | 8.99001i | −0.726995 | + | 0.617436i | ||||
\(213\) | 23.9424 | − | 3.15208i | 1.64051 | − | 0.215977i | ||||
\(214\) | 2.00849 | − | 2.75642i | 0.137298 | − | 0.188425i | ||||
\(215\) | −0.987470 | − | 3.68529i | −0.0673449 | − | 0.251335i | ||||
\(216\) | −3.68041 | − | 7.29806i | −0.250420 | − | 0.496570i | ||||
\(217\) | 4.00887 | + | 6.47789i | 0.272140 | + | 0.439748i | ||||
\(218\) | 0.688505 | − | 1.78621i | 0.0466314 | − | 0.120978i | ||||
\(219\) | −21.0121 | + | 16.1232i | −1.41987 | + | 1.08950i | ||||
\(220\) | 0.955973 | − | 4.43700i | 0.0644517 | − | 0.299142i | ||||
\(221\) | 1.95333 | − | 2.54564i | 0.131395 | − | 0.171238i | ||||
\(222\) | −22.0132 | + | 6.48745i | −1.47743 | + | 0.435409i | ||||
\(223\) | 16.6980 | 1.11818 | 0.559091 | − | 0.829106i | \(-0.311150\pi\) | ||||
0.559091 | + | 0.829106i | \(0.311150\pi\) | |||||||
\(224\) | −14.8806 | − | 1.60223i | −0.994253 | − | 0.107054i | ||||
\(225\) | 13.2388 | 0.882588 | ||||||||
\(226\) | −13.1661 | + | 3.88014i | −0.875796 | + | 0.258103i | ||||
\(227\) | −1.78212 | + | 2.32250i | −0.118284 | + | 0.154150i | −0.848742 | − | 0.528807i | \(-0.822640\pi\) |
0.730459 | + | 0.682957i | \(0.239306\pi\) | |||||||
\(228\) | −26.0953 | − | 5.62237i | −1.72821 | − | 0.372350i | ||||
\(229\) | 12.9898 | − | 9.96740i | 0.858388 | − | 0.658664i | −0.0827933 | − | 0.996567i | \(-0.526384\pi\) |
0.941181 | + | 0.337903i | \(0.109717\pi\) | |||||||
\(230\) | 3.53139 | − | 9.16162i | 0.232853 | − | 0.604100i | ||||
\(231\) | −5.70257 | + | 10.6137i | −0.375201 | + | 0.698327i | ||||
\(232\) | 8.97363 | − | 27.2323i | 0.589148 | − | 1.78789i | ||||
\(233\) | 2.69076 | + | 10.0420i | 0.176277 | + | 0.657876i | 0.996331 | + | 0.0855886i | \(0.0272771\pi\) |
−0.820053 | + | 0.572287i | \(0.806056\pi\) | |||||||
\(234\) | 2.02812 | − | 2.78334i | 0.132582 | − | 0.181953i | ||||
\(235\) | −12.7292 | + | 1.67584i | −0.830364 | + | 0.109319i | ||||
\(236\) | 0.281206 | + | 0.331104i | 0.0183050 | + | 0.0215530i | ||||
\(237\) | 11.5238 | − | 4.77331i | 0.748551 | − | 0.310060i | ||||
\(238\) | 15.0094 | + | 13.4331i | 0.972916 | + | 0.870741i | ||||
\(239\) | − | 1.67622i | − | 0.108426i | −0.998529 | − | 0.0542128i | \(-0.982735\pi\) | ||
0.998529 | − | 0.0542128i | \(-0.0172649\pi\) | |||||||
\(240\) | −12.8710 | − | 5.81624i | −0.830820 | − | 0.375437i | ||||
\(241\) | 6.58959 | − | 3.80450i | 0.424473 | − | 0.245070i | −0.272516 | − | 0.962151i | \(-0.587856\pi\) |
0.696989 | + | 0.717082i | \(0.254523\pi\) | |||||||
\(242\) | 5.95197 | + | 9.74301i | 0.382607 | + | 0.626304i | ||||
\(243\) | 2.71752 | − | 20.6416i | 0.174329 | − | 1.32416i | ||||
\(244\) | −7.39455 | + | 3.50189i | −0.473387 | + | 0.224186i | ||||
\(245\) | 7.00764 | − | 6.09229i | 0.447702 | − | 0.389222i | ||||
\(246\) | −13.1656 | + | 5.83985i | −0.839407 | + | 0.372335i | ||||
\(247\) | −0.773512 | − | 2.88679i | −0.0492174 | − | 0.183682i | ||||
\(248\) | −1.51740 | + | 8.00138i | −0.0963551 | + | 0.508088i | ||||
\(249\) | 6.79993 | − | 25.3777i | 0.430928 | − | 1.60824i | ||||
\(250\) | 12.0272 | − | 9.71184i | 0.760665 | − | 0.614231i | ||||
\(251\) | −28.1259 | − | 11.6501i | −1.77529 | − | 0.735350i | −0.993767 | − | 0.111474i | \(-0.964443\pi\) |
−0.781524 | − | 0.623876i | \(-0.785557\pi\) | |||||||
\(252\) | 16.4620 | + | 14.0138i | 1.03701 | + | 0.882789i | ||||
\(253\) | −3.42659 | − | 8.27252i | −0.215428 | − | 0.520089i | ||||
\(254\) | 6.13995 | + | 20.8341i | 0.385255 | + | 1.30725i | ||||
\(255\) | 9.50447 | + | 16.4622i | 0.595193 | + | 1.03090i | ||||
\(256\) | −10.5736 | − | 12.0083i | −0.660851 | − | 0.750517i | ||||
\(257\) | −7.21889 | + | 12.5035i | −0.450302 | + | 0.779946i | −0.998405 | − | 0.0564650i | \(-0.982017\pi\) |
0.548102 | + | 0.836411i | \(0.315350\pi\) | |||||||
\(258\) | −7.46386 | + | 7.84347i | −0.464680 | + | 0.488313i | ||||
\(259\) | 12.4901 | − | 10.2054i | 0.776098 | − | 0.634132i | ||||
\(260\) | −0.0783826 | − | 1.57937i | −0.00486108 | − | 0.0979483i | ||||
\(261\) | −32.8585 | + | 25.2132i | −2.03389 | + | 1.56066i | ||||
\(262\) | 2.93834 | + | 18.7198i | 0.181531 | + | 1.15651i | ||||
\(263\) | −3.07789 | + | 11.4868i | −0.189791 | + | 0.708309i | 0.803763 | + | 0.594949i | \(0.202828\pi\) |
−0.993554 | + | 0.113360i | \(0.963839\pi\) | |||||||
\(264\) | −12.1595 | + | 4.24909i | −0.748363 | + | 0.261513i | ||||
\(265\) | 6.51325 | − | 6.51325i | 0.400106 | − | 0.400106i | ||||
\(266\) | 18.4367 | − | 3.47435i | 1.13043 | − | 0.213026i | ||||
\(267\) | −16.9972 | + | 41.0350i | −1.04021 | + | 2.51130i | ||||
\(268\) | 2.24455 | − | 27.5436i | 0.137108 | − | 1.68249i | ||||
\(269\) | 5.35148 | + | 4.10634i | 0.326286 | + | 0.250368i | 0.758894 | − | 0.651214i | \(-0.225740\pi\) |
−0.432608 | + | 0.901582i | \(0.642407\pi\) | |||||||
\(270\) | 2.82616 | + | 4.62625i | 0.171994 | + | 0.281544i | ||||
\(271\) | 23.2482 | + | 13.4224i | 1.41223 | + | 0.815351i | 0.995598 | − | 0.0937244i | \(-0.0298773\pi\) |
0.416631 | + | 0.909076i | \(0.363211\pi\) | |||||||
\(272\) | 2.13213 | + | 21.4277i | 0.129279 | + | 1.29925i | ||||
\(273\) | −0.962009 | + | 4.08598i | −0.0582234 | + | 0.247295i | ||||
\(274\) | −0.272224 | − | 10.9771i | −0.0164457 | − | 0.663152i | ||||
\(275\) | 0.723582 | − | 5.49615i | 0.0436337 | − | 0.331431i | ||||
\(276\) | −27.4113 | + | 5.00185i | −1.64997 | + | 0.301076i | ||||
\(277\) | −11.1523 | + | 1.46823i | −0.670077 | + | 0.0882173i | −0.457886 | − | 0.889011i | \(-0.651393\pi\) |
−0.212191 | + | 0.977228i | \(0.568060\pi\) | |||||||
\(278\) | −1.93129 | − | 0.205693i | −0.115831 | − | 0.0123367i | ||||
\(279\) | 8.31831 | − | 8.31831i | 0.498004 | − | 0.498004i | ||||
\(280\) | 9.92342 | + | 0.257549i | 0.593038 | + | 0.0153915i | ||||
\(281\) | 13.0894 | + | 13.0894i | 0.780849 | + | 0.780849i | 0.979974 | − | 0.199125i | \(-0.0638100\pi\) |
−0.199125 | + | 0.979974i | \(0.563810\pi\) | |||||||
\(282\) | 22.8903 | + | 28.3474i | 1.36310 | + | 1.68806i | ||||
\(283\) | −1.17342 | − | 8.91302i | −0.0697526 | − | 0.529824i | −0.990274 | − | 0.139131i | \(-0.955569\pi\) |
0.920521 | − | 0.390692i | \(-0.127764\pi\) | |||||||
\(284\) | −17.7373 | − | 3.82159i | −1.05251 | − | 0.226770i | ||||
\(285\) | 17.5537 | + | 2.31099i | 1.03979 | + | 0.136891i | ||||
\(286\) | −1.04467 | − | 0.994108i | −0.0617725 | − | 0.0587828i | ||||
\(287\) | 6.93557 | − | 7.37311i | 0.409394 | − | 0.435221i | ||||
\(288\) | 2.85785 | + | 22.9344i | 0.168401 | + | 1.35142i | ||||
\(289\) | 5.99042 | − | 10.3757i | 0.352378 | − | 0.610336i | ||||
\(290\) | −4.46515 | + | 18.4858i | −0.262203 | + | 1.08552i | ||||
\(291\) | −15.0513 | + | 19.6152i | −0.882321 | + | 1.14986i | ||||
\(292\) | 18.9426 | − | 6.09684i | 1.10853 | − | 0.356791i | ||||
\(293\) | −7.53848 | − | 3.12254i | −0.440403 | − | 0.182421i | 0.151453 | − | 0.988464i | \(-0.451605\pi\) |
−0.591856 | + | 0.806044i | \(0.701605\pi\) | |||||||
\(294\) | −25.1211 | − | 7.95750i | −1.46509 | − | 0.464091i | ||||
\(295\) | −0.203734 | − | 0.203734i | −0.0118618 | − | 0.0118618i | ||||
\(296\) | 17.2154 | + | 0.974000i | 1.00062 | + | 0.0566126i | ||||
\(297\) | 4.77539 | + | 1.27956i | 0.277096 | + | 0.0742477i | ||||
\(298\) | −7.96071 | + | 10.9251i | −0.461152 | + | 0.632875i | ||||
\(299\) | −1.89909 | − | 2.47494i | −0.109827 | − | 0.143129i | ||||
\(300\) | −16.2453 | − | 5.80350i | −0.937925 | − | 0.335065i | ||||
\(301\) | 2.69584 | − | 7.11610i | 0.155385 | − | 0.410165i | ||||
\(302\) | −0.366268 | − | 14.7693i | −0.0210764 | − | 0.849878i | ||||
\(303\) | −34.2680 | − | 19.7847i | −1.96865 | − | 1.13660i | ||||
\(304\) | 17.0427 | + | 10.5742i | 0.977466 | + | 0.606470i | ||||
\(305\) | 4.69965 | − | 2.71334i | 0.269101 | − | 0.155366i | ||||
\(306\) | 14.8798 | − | 27.3149i | 0.850623 | − | 1.56149i | ||||
\(307\) | −23.7853 | + | 9.85221i | −1.35750 | + | 0.562295i | −0.938370 | − | 0.345631i | \(-0.887665\pi\) |
−0.419130 | + | 0.907926i | \(0.637665\pi\) | |||||||
\(308\) | 6.71765 | − | 6.06831i | 0.382774 | − | 0.345774i | ||||
\(309\) | 6.60559 | − | 15.9473i | 0.375779 | − | 0.907211i | ||||
\(310\) | 0.572063 | − | 5.37120i | 0.0324910 | − | 0.305064i | ||||
\(311\) | −23.0690 | − | 6.18132i | −1.30812 | − | 0.350510i | −0.463607 | − | 0.886041i | \(-0.653445\pi\) |
−0.844516 | + | 0.535531i | \(0.820112\pi\) | |||||||
\(312\) | −3.70883 | + | 2.52637i | −0.209971 | + | 0.143028i | ||||
\(313\) | −12.7761 | + | 3.42336i | −0.722151 | + | 0.193500i | −0.601131 | − | 0.799150i | \(-0.705283\pi\) |
−0.121020 | + | 0.992650i | \(0.538616\pi\) | |||||||
\(314\) | 18.4657 | + | 7.11768i | 1.04208 | + | 0.401674i | ||||
\(315\) | −11.6374 | − | 8.37728i | −0.655694 | − | 0.472006i | ||||
\(316\) | −9.36024 | + | 0.464540i | −0.526555 | + | 0.0261324i | ||||
\(317\) | 29.9430 | + | 3.94206i | 1.68176 | + | 0.221408i | 0.910031 | − | 0.414539i | \(-0.136057\pi\) |
0.771732 | + | 0.635948i | \(0.219391\pi\) | |||||||
\(318\) | −25.4091 | − | 6.13744i | −1.42487 | − | 0.344171i | ||||
\(319\) | 8.67146 | + | 15.0194i | 0.485508 | + | 0.840925i | ||||
\(320\) | 7.63678 | + | 7.36867i | 0.426909 | + | 0.411921i | ||||
\(321\) | 6.41947 | 0.358300 | ||||||||
\(322\) | 16.3919 | − | 10.7152i | 0.913485 | − | 0.597132i | ||||
\(323\) | −10.3298 | − | 24.9384i | −0.574766 | − | 1.38761i | ||||
\(324\) | −4.16707 | + | 8.12261i | −0.231504 | + | 0.451256i | ||||
\(325\) | −0.252094 | − | 1.91485i | −0.0139837 | − | 0.106217i | ||||
\(326\) | −4.39640 | − | 28.0089i | −0.243494 | − | 1.55127i | ||||
\(327\) | 3.48041 | − | 0.932574i | 0.192467 | − | 0.0515715i | ||||
\(328\) | 10.7915 | − | 0.804182i | 0.595860 | − | 0.0444035i | ||||
\(329\) | −22.5578 | − | 12.1200i | −1.24365 | − | 0.668197i | ||||
\(330\) | 7.80933 | − | 3.46398i | 0.429890 | − | 0.190686i | ||||
\(331\) | −9.77869 | − | 12.7438i | −0.537485 | − | 0.700464i | 0.443119 | − | 0.896463i | \(-0.353872\pi\) |
−0.980604 | + | 0.195998i | \(0.937205\pi\) | |||||||
\(332\) | −11.2260 | + | 16.2373i | −0.616104 | + | 0.891136i | ||||
\(333\) | −19.7601 | − | 15.1625i | −1.08285 | − | 0.830899i | ||||
\(334\) | −5.75396 | + | 10.5625i | −0.314843 | + | 0.577957i | ||||
\(335\) | 18.3291i | 1.00143i | ||||||||
\(336\) | −14.0572 | − | 24.4128i | −0.766883 | − | 1.33183i | ||||
\(337\) | − | 12.3378i | − | 0.672081i | −0.941848 | − | 0.336041i | \(-0.890912\pi\) | ||
0.941848 | − | 0.336041i | \(-0.109088\pi\) | |||||||
\(338\) | 15.7035 | + | 8.55449i | 0.854157 | + | 0.465303i | ||||
\(339\) | −20.4966 | − | 15.7276i | −1.11323 | − | 0.854208i | ||||
\(340\) | −2.56382 | − | 14.0503i | −0.139043 | − | 0.761986i | ||||
\(341\) | −2.99874 | − | 3.90803i | −0.162391 | − | 0.211632i | ||||
\(342\) | −11.7471 | − | 26.4830i | −0.635208 | − | 1.43204i | ||||
\(343\) | 18.4424 | − | 1.69608i | 0.995798 | − | 0.0915794i | ||||
\(344\) | 7.26366 | − | 3.66306i | 0.391630 | − | 0.197499i | ||||
\(345\) | 17.8513 | − | 4.78324i | 0.961082 | − | 0.257521i | ||||
\(346\) | 7.93335 | − | 1.24525i | 0.426499 | − | 0.0669452i | ||||
\(347\) | 0.350030 | + | 2.65874i | 0.0187906 | + | 0.142729i | 0.998268 | − | 0.0588232i | \(-0.0187348\pi\) |
−0.979478 | + | 0.201552i | \(0.935402\pi\) | |||||||
\(348\) | 51.3733 | − | 16.5349i | 2.75390 | − | 0.886366i | ||||
\(349\) | −7.04548 | − | 17.0093i | −0.377136 | − | 0.910487i | −0.992500 | − | 0.122244i | \(-0.960991\pi\) |
0.615364 | − | 0.788243i | \(-0.289009\pi\) | |||||||
\(350\) | 12.1057 | − | 0.670899i | 0.647076 | − | 0.0358611i | ||||
\(351\) | 1.72242 | 0.0919362 | ||||||||
\(352\) | 9.67751 | + | 0.0670535i | 0.515813 | + | 0.00357396i | ||||
\(353\) | −7.72069 | − | 13.3726i | −0.410931 | − | 0.711753i | 0.584061 | − | 0.811710i | \(-0.301463\pi\) |
−0.994992 | + | 0.0999565i | \(0.968130\pi\) | |||||||
\(354\) | −0.191978 | + | 0.794794i | −0.0102035 | + | 0.0422428i | ||||
\(355\) | 11.9314 | + | 1.57080i | 0.633255 | + | 0.0833696i | ||||
\(356\) | 22.3988 | − | 24.7381i | 1.18713 | − | 1.31112i | ||||
\(357\) | −3.79749 | + | 37.7228i | −0.200985 | + | 1.99650i | ||||
\(358\) | 2.70923 | − | 7.02865i | 0.143187 | − | 0.371476i | ||||
\(359\) | 0.280573 | − | 0.0751793i | 0.0148081 | − | 0.00396781i | −0.251407 | − | 0.967881i | \(-0.580893\pi\) |
0.266215 | + | 0.963914i | \(0.414227\pi\) | |||||||
\(360\) | −3.12474 | − | 15.0072i | −0.164688 | − | 0.790951i | ||||
\(361\) | −5.93239 | − | 1.58958i | −0.312231 | − | 0.0836621i | ||||
\(362\) | −0.612354 | − | 0.0652190i | −0.0321846 | − | 0.00342784i | ||||
\(363\) | −8.22380 | + | 19.8540i | −0.431638 | + | 1.04207i | ||||
\(364\) | 1.71348 | − | 2.64789i | 0.0898105 | − | 0.138787i | ||||
\(365\) | −12.1939 | + | 5.05089i | −0.638259 | + | 0.264376i | ||||
\(366\) | −13.5237 | − | 7.36707i | −0.706896 | − | 0.385083i | ||||
\(367\) | 21.4497 | − | 12.3840i | 1.11966 | − | 0.646438i | 0.178348 | − | 0.983968i | \(-0.442925\pi\) |
0.941315 | + | 0.337530i | \(0.109591\pi\) | |||||||
\(368\) | 20.6593 | + | 3.38960i | 1.07694 | + | 0.176695i | ||||
\(369\) | −13.5371 | − | 7.81567i | −0.704715 | − | 0.406868i | ||||
\(370\) | −11.4330 | + | 0.283530i | −0.594374 | + | 0.0147400i | ||||
\(371\) | 18.1327 | − | 2.95358i | 0.941401 | − | 0.153342i | ||||
\(372\) | −13.8539 | + | 6.56090i | −0.718291 | + | 0.340167i | ||||
\(373\) | −1.37170 | − | 1.78763i | −0.0710240 | − | 0.0925602i | 0.756490 | − | 0.654005i | \(-0.226912\pi\) |
−0.827514 | + | 0.561445i | \(0.810246\pi\) | |||||||
\(374\) | −10.5266 | − | 7.67035i | −0.544319 | − | 0.396624i | ||||
\(375\) | 28.1055 | + | 7.53085i | 1.45136 | + | 0.388892i | ||||
\(376\) | −9.03084 | − | 25.8432i | −0.465730 | − | 1.33276i | ||||
\(377\) | 4.27250 | + | 4.27250i | 0.220045 | + | 0.220045i | ||||
\(378\) | −0.815966 | + | 10.7818i | −0.0419688 | + | 0.554555i | ||||
\(379\) | 11.1490 | + | 4.61806i | 0.572685 | + | 0.237214i | 0.650182 | − | 0.759779i | \(-0.274693\pi\) |
−0.0774966 | + | 0.996993i | \(0.524693\pi\) | |||||||
\(380\) | −11.8360 | − | 6.07214i | −0.607176 | − | 0.311494i | ||||
\(381\) | −24.8875 | + | 32.4340i | −1.27502 | + | 1.66164i | ||||
\(382\) | 6.15530 | + | 1.48678i | 0.314932 | + | 0.0760703i | ||||
\(383\) | −14.4746 | + | 25.0707i | −0.739616 | + | 1.28105i | 0.213052 | + | 0.977041i | \(0.431660\pi\) |
−0.952668 | + | 0.304012i | \(0.901674\pi\) | |||||||
\(384\) | 6.54686 | − | 29.3955i | 0.334093 | − | 1.50008i | ||||
\(385\) | −4.11392 | + | 4.37346i | −0.209665 | + | 0.222892i | ||||
\(386\) | −22.1061 | + | 23.2304i | −1.12517 | + | 1.18240i | ||||
\(387\) | −11.6504 | − | 1.53380i | −0.592223 | − | 0.0779676i | ||||
\(388\) | 15.6077 | − | 10.0743i | 0.792359 | − | 0.511448i | ||||
\(389\) | −0.794882 | − | 6.03773i | −0.0403021 | − | 0.306125i | −0.999710 | − | 0.0241012i | \(-0.992328\pi\) |
0.959407 | − | 0.282024i | \(-0.0910057\pi\) | |||||||
\(390\) | 2.31569 | − | 1.86990i | 0.117260 | − | 0.0946862i | ||||
\(391\) | −19.9234 | − | 19.9234i | −1.00757 | − | 1.00757i | ||||
\(392\) | 15.7631 | + | 11.9801i | 0.796158 | + | 0.605088i | ||||
\(393\) | −25.2200 | + | 25.2200i | −1.27218 | + | 1.27218i | ||||
\(394\) | −1.47071 | + | 13.8088i | −0.0740934 | + | 0.695677i | ||||
\(395\) | 6.16274 | − | 0.811340i | 0.310081 | − | 0.0408229i | ||||
\(396\) | −11.4988 | − | 7.94989i | −0.577834 | − | 0.399497i | ||||
\(397\) | 2.87380 | − | 21.8287i | 0.144232 | − | 1.09555i | −0.754265 | − | 0.656570i | \(-0.772006\pi\) |
0.898497 | − | 0.438980i | \(-0.144660\pi\) | |||||||
\(398\) | −5.54477 | + | 0.137506i | −0.277934 | + | 0.00689256i | ||||
\(399\) | 25.7216 | + | 24.1952i | 1.28769 | + | 1.21128i | ||||
\(400\) | 10.0275 | + | 8.21257i | 0.501376 | + | 0.410629i | ||||
\(401\) | 24.3241 | + | 14.0435i | 1.21469 | + | 0.701300i | 0.963777 | − | 0.266710i | \(-0.0859366\pi\) |
0.250911 | + | 0.968010i | \(0.419270\pi\) | |||||||
\(402\) | 44.3880 | − | 27.1165i | 2.21387 | − | 1.35245i | ||||
\(403\) | −1.36155 | − | 1.04475i | −0.0678236 | − | 0.0520429i | ||||
\(404\) | 19.2456 | + | 22.6605i | 0.957503 | + | 1.12740i | ||||
\(405\) | 2.31715 | − | 5.59409i | 0.115140 | − | 0.277972i | ||||
\(406\) | −28.7684 | + | 24.7203i | −1.42775 | + | 1.22685i | ||||
\(407\) | −7.37478 | + | 7.37478i | −0.365555 | + | 0.365555i | ||||
\(408\) | −30.2330 | + | 26.9952i | −1.49676 | + | 1.33646i | ||||
\(409\) | −4.34197 | + | 16.2044i | −0.214697 | + | 0.801258i | 0.771577 | + | 0.636136i | \(0.219468\pi\) |
−0.986273 | + | 0.165122i | \(0.947198\pi\) | |||||||
\(410\) | −7.09058 | + | 1.11297i | −0.350179 | + | 0.0549656i | ||||
\(411\) | 16.3969 | − | 12.5818i | 0.808800 | − | 0.620614i | ||||
\(412\) | −8.70477 | + | 9.61390i | −0.428853 | + | 0.473643i | ||||
\(413\) | −0.0923875 | − | 0.567188i | −0.00454609 | − | 0.0279095i | ||||
\(414\) | −21.9072 | − | 20.8469i | −1.07668 | − | 1.02457i | ||||
\(415\) | 6.54640 | − | 11.3387i | 0.321350 | − | 0.556595i | ||||
\(416\) | 3.26278 | − | 0.850074i | 0.159971 | − | 0.0416783i | ||||
\(417\) | −1.82785 | − | 3.16593i | −0.0895103 | − | 0.155036i | ||||
\(418\) | −11.6366 | + | 3.42938i | −0.569164 | + | 0.167737i | ||||
\(419\) | 9.28172 | + | 22.4081i | 0.453442 | + | 1.09471i | 0.971005 | + | 0.239060i | \(0.0768393\pi\) |
−0.517563 | + | 0.855645i | \(0.673161\pi\) | |||||||
\(420\) | 10.6079 | + | 15.3812i | 0.517613 | + | 0.750528i | ||||
\(421\) | 12.3542 | + | 5.11727i | 0.602106 | + | 0.249400i | 0.662849 | − | 0.748753i | \(-0.269347\pi\) |
−0.0607433 | + | 0.998153i | \(0.519347\pi\) | |||||||
\(422\) | −19.9430 | − | 24.6975i | −0.970811 | − | 1.20225i | ||||
\(423\) | −10.2347 | + | 38.1964i | −0.497627 | + | 1.85717i | ||||
\(424\) | 16.4270 | + | 10.7652i | 0.797764 | + | 0.522802i | ||||
\(425\) | −4.51485 | − | 16.8496i | −0.219002 | − | 0.817328i | ||||
\(426\) | −13.8476 | − | 31.2185i | −0.670917 | − | 1.51254i | ||||
\(427\) | 10.7691 | + | 1.08411i | 0.521155 | + | 0.0524638i | ||||
\(428\) | −4.54212 | − | 1.62263i | −0.219552 | − | 0.0784327i | ||||
\(429\) | 0.354290 | − | 2.69110i | 0.0171053 | − | 0.129928i | ||||
\(430\) | −4.60444 | + | 2.81283i | −0.222046 | + | 0.135647i | ||||
\(431\) | −8.96739 | + | 5.17733i | −0.431944 | + | 0.249383i | −0.700175 | − | 0.713972i | \(-0.746894\pi\) |
0.268230 | + | 0.963355i | \(0.413561\pi\) | |||||||
\(432\) | −8.42869 | + | 7.91020i | −0.405526 | + | 0.380580i | ||||
\(433\) | 18.5114i | 0.889599i | 0.895630 | + | 0.444800i | \(0.146725\pi\) | ||||
−0.895630 | + | 0.444800i | \(0.853275\pi\) | |||||||
\(434\) | 7.18479 | − | 8.02788i | 0.344881 | − | 0.385351i | ||||
\(435\) | −33.0705 | + | 13.6983i | −1.58561 | + | 0.656781i | ||||
\(436\) | −2.69830 | − | 0.219887i | −0.129225 | − | 0.0105307i | ||||
\(437\) | −26.0189 | + | 3.42546i | −1.24465 | + | 0.163862i | ||||
\(438\) | 30.2718 | + | 22.0579i | 1.44644 | + | 1.05397i | ||||
\(439\) | 5.08206 | + | 18.9665i | 0.242554 | + | 0.905222i | 0.974597 | + | 0.223965i | \(0.0719000\pi\) |
−0.732044 | + | 0.681258i | \(0.761433\pi\) | |||||||
\(440\) | −6.40110 | + | 0.477011i | −0.305161 | + | 0.0227406i | ||||
\(441\) | −9.07611 | − | 27.1210i | −0.432196 | − | 1.29147i | ||||
\(442\) | −4.23414 | − | 1.63207i | −0.201397 | − | 0.0776295i | ||||
\(443\) | 23.7835 | − | 18.2498i | 1.12999 | − | 0.867072i | 0.137635 | − | 0.990483i | \(-0.456050\pi\) |
0.992356 | + | 0.123411i | \(0.0393834\pi\) | |||||||
\(444\) | 17.6009 | + | 27.2681i | 0.835300 | + | 1.29409i | ||||
\(445\) | −13.4744 | + | 17.5602i | −0.638749 | + | 0.832434i | ||||
\(446\) | −6.67552 | − | 22.6514i | −0.316095 | − | 1.07257i | ||||
\(447\) | −25.4437 | −1.20345 | ||||||||
\(448\) | 3.77548 | + | 20.8266i | 0.178375 | + | 0.983963i | ||||
\(449\) | 27.2364 | 1.28536 | 0.642682 | − | 0.766133i | \(-0.277822\pi\) | ||||
0.642682 | + | 0.766133i | \(0.277822\pi\) | |||||||
\(450\) | −5.29260 | − | 17.9589i | −0.249496 | − | 0.846589i | ||||
\(451\) | −3.98460 | + | 5.19283i | −0.187627 | + | 0.244521i | ||||
\(452\) | 10.5271 | + | 16.3090i | 0.495151 | + | 0.767112i | ||||
\(453\) | 22.0615 | − | 16.9284i | 1.03654 | − | 0.795363i | ||||
\(454\) | 3.86300 | + | 1.48901i | 0.181300 | + | 0.0698829i | ||||
\(455\) | −0.990080 | + | 1.84274i | −0.0464156 | + | 0.0863891i | ||||
\(456\) | 2.80544 | + | 37.6468i | 0.131377 | + | 1.76297i | ||||
\(457\) | −4.47114 | − | 16.6865i | −0.209151 | − | 0.780562i | −0.988144 | − | 0.153529i | \(-0.950936\pi\) |
0.778993 | − | 0.627032i | \(-0.215731\pi\) | |||||||
\(458\) | −18.7141 | − | 13.6363i | −0.874453 | − | 0.637181i | ||||
\(459\) | 15.4238 | − | 2.03058i | 0.719920 | − | 0.0947792i | ||||
\(460\) | −13.8398 | − | 1.12782i | −0.645284 | − | 0.0525848i | ||||
\(461\) | 8.36744 | − | 3.46591i | 0.389711 | − | 0.161423i | −0.179220 | − | 0.983809i | \(-0.557357\pi\) |
0.568931 | + | 0.822386i | \(0.307357\pi\) | |||||||
\(462\) | 16.6775 | + | 3.49259i | 0.775908 | + | 0.162490i | ||||
\(463\) | − | 11.8044i | − | 0.548599i | −0.961644 | − | 0.274299i | \(-0.911554\pi\) | ||
0.961644 | − | 0.274299i | \(-0.0884459\pi\) | |||||||
\(464\) | −40.5289 | − | 1.28613i | −1.88151 | − | 0.0597069i | ||||
\(465\) | 8.80492 | − | 5.08352i | 0.408319 | − | 0.235743i | ||||
\(466\) | 12.5466 | − | 7.66469i | 0.581211 | − | 0.355060i | ||||
\(467\) | 1.79383 | − | 13.6255i | 0.0830086 | − | 0.630513i | −0.898483 | − | 0.439008i | \(-0.855330\pi\) |
0.981492 | − | 0.191505i | \(-0.0613368\pi\) | |||||||
\(468\) | −4.58649 | − | 1.63848i | −0.212010 | − | 0.0757388i | ||||
\(469\) | −21.3580 | + | 29.6697i | −0.986219 | + | 1.37002i | ||||
\(470\) | 7.36220 | + | 16.5976i | 0.339593 | + | 0.765592i | ||||
\(471\) | 9.64083 | + | 35.9801i | 0.444226 | + | 1.65787i | ||||
\(472\) | 0.336733 | − | 0.513834i | 0.0154994 | − | 0.0236511i | ||||
\(473\) | −1.27353 | + | 4.75288i | −0.0585570 | + | 0.218538i | ||||
\(474\) | −11.0821 | − | 13.7241i | −0.509019 | − | 0.630370i | ||||
\(475\) | −15.0108 | − | 6.21768i | −0.688743 | − | 0.285287i | ||||
\(476\) | 12.2220 | − | 25.7310i | 0.560195 | − | 1.17938i | ||||
\(477\) | −10.8567 | − | 26.2103i | −0.497093 | − | 1.20009i | ||||
\(478\) | −2.27384 | + | 0.670117i | −0.104003 | + | 0.0306504i | ||||
\(479\) | 0.255055 | + | 0.441769i | 0.0116538 | + | 0.0201849i | 0.871793 | − | 0.489874i | \(-0.162957\pi\) |
−0.860140 | + | 0.510059i | \(0.829624\pi\) | |||||||
\(480\) | −2.74435 | + | 19.7851i | −0.125262 | + | 0.903064i | ||||
\(481\) | −1.81681 | + | 3.14681i | −0.0828394 | + | 0.143482i | ||||
\(482\) | −7.79531 | − | 7.41803i | −0.355067 | − | 0.337882i | ||||
\(483\) | 34.4699 | + | 13.0585i | 1.56844 | + | 0.594180i | ||||
\(484\) | 10.8372 | − | 11.9691i | 0.492601 | − | 0.544049i | ||||
\(485\) | −9.77502 | + | 7.50063i | −0.443861 | + | 0.340586i | ||||
\(486\) | −29.0874 | + | 4.56568i | −1.31943 | + | 0.207104i | ||||
\(487\) | 6.03562 | − | 22.5252i | 0.273500 | − | 1.02072i | −0.683340 | − | 0.730100i | \(-0.739473\pi\) |
0.956840 | − | 0.290615i | \(-0.0938600\pi\) | |||||||
\(488\) | 7.70661 | + | 8.63095i | 0.348862 | + | 0.390705i | ||||
\(489\) | 37.7347 | − | 37.7347i | 1.70642 | − | 1.70642i | ||||
\(490\) | −11.0659 | − | 7.07051i | −0.499906 | − | 0.319413i | ||||
\(491\) | 0.893235 | − | 2.15646i | 0.0403111 | − | 0.0973197i | −0.902442 | − | 0.430812i | \(-0.858227\pi\) |
0.942753 | + | 0.333492i | \(0.108227\pi\) | |||||||
\(492\) | 13.1853 | + | 15.5249i | 0.594437 | + | 0.699915i | ||||
\(493\) | 43.2958 | + | 33.2220i | 1.94994 | + | 1.49624i | ||||
\(494\) | −3.60678 | + | 2.20337i | −0.162277 | + | 0.0991343i | ||||
\(495\) | 8.02973 | + | 4.63597i | 0.360910 | + | 0.208371i | ||||
\(496\) | 11.4608 | − | 1.14038i | 0.514603 | − | 0.0512047i | ||||
\(497\) | 17.4833 | + | 16.4458i | 0.784232 | + | 0.737693i | ||||
\(498\) | −37.1441 | + | 0.921146i | −1.66447 | + | 0.0412775i | ||||
\(499\) | −4.22841 | + | 32.1180i | −0.189290 | + | 1.43780i | 0.588104 | + | 0.808785i | \(0.299874\pi\) |
−0.777394 | + | 0.629014i | \(0.783459\pi\) | |||||||
\(500\) | −17.9826 | − | 12.4326i | −0.804207 | − | 0.556004i | ||||
\(501\) | −22.4460 | + | 2.95508i | −1.00281 | + | 0.132023i | ||||
\(502\) | −4.55962 | + | 42.8111i | −0.203506 | + | 1.91075i | ||||
\(503\) | −18.0124 | + | 18.0124i | −0.803132 | + | 0.803132i | −0.983584 | − | 0.180452i | \(-0.942244\pi\) |
0.180452 | + | 0.983584i | \(0.442244\pi\) | |||||||
\(504\) | 12.4291 | − | 27.9336i | 0.553635 | − | 1.24426i | ||||
\(505\) | −13.9434 | − | 13.9434i | −0.620472 | − | 0.620472i | ||||
\(506\) | −9.85205 | + | 7.95546i | −0.437977 | + | 0.353663i | ||||
\(507\) | 4.39336 | + | 33.3709i | 0.195116 | + | 1.48205i | ||||
\(508\) | 25.8075 | − | 16.6581i | 1.14502 | − | 0.739082i | ||||
\(509\) | −29.1195 | − | 3.83365i | −1.29070 | − | 0.169924i | −0.546260 | − | 0.837616i | \(-0.683949\pi\) |
−0.744437 | + | 0.667692i | \(0.767282\pi\) | |||||||
\(510\) | 18.5318 | − | 19.4744i | 0.820604 | − | 0.862339i | ||||
\(511\) | −25.6241 | − | 6.03296i | −1.13354 | − | 0.266883i | ||||
\(512\) | −12.0625 | + | 19.1441i | −0.533091 | + | 0.846058i | ||||
\(513\) | 7.24492 | − | 12.5486i | 0.319871 | − | 0.554033i | ||||
\(514\) | 19.8473 | + | 4.79402i | 0.875428 | + | 0.211455i | ||||
\(515\) | 5.23653 | − | 6.82438i | 0.230749 | − | 0.300718i | ||||
\(516\) | 13.6238 | + | 6.98931i | 0.599755 | + | 0.307687i | ||||
\(517\) | 15.2980 | + | 6.33664i | 0.672805 | + | 0.278685i | ||||
\(518\) | −18.8372 | − | 12.8633i | −0.827660 | − | 0.565182i | ||||
\(519\) | 10.6881 | + | 10.6881i | 0.469156 | + | 0.469156i | ||||
\(520\) | −2.11113 | + | 0.737727i | −0.0925790 | + | 0.0323514i | ||||
\(521\) | 15.4615 | + | 4.14291i | 0.677382 | + | 0.181504i | 0.581078 | − | 0.813848i | \(-0.302631\pi\) |
0.0963044 | + | 0.995352i | \(0.469298\pi\) | |||||||
\(522\) | 47.3387 | + | 34.4939i | 2.07196 | + | 1.50976i | ||||
\(523\) | −13.0166 | − | 16.9636i | −0.569176 | − | 0.741764i | 0.416737 | − | 0.909027i | \(-0.363174\pi\) |
−0.985912 | + | 0.167263i | \(0.946507\pi\) | |||||||
\(524\) | 24.2193 | − | 11.4697i | 1.05803 | − | 0.501057i | ||||
\(525\) | 14.4393 | + | 17.6718i | 0.630181 | + | 0.771262i | ||||
\(526\) | 16.8127 | − | 0.416944i | 0.733070 | − | 0.0181796i | ||||
\(527\) | −13.4239 | − | 7.75029i | −0.584754 | − | 0.337608i | ||||
\(528\) | 10.6251 | + | 14.7960i | 0.462399 | + | 0.643913i | ||||
\(529\) | −3.80487 | + | 2.19674i | −0.165429 | + | 0.0955106i | ||||
\(530\) | −11.4393 | − | 6.23156i | −0.496891 | − | 0.270682i | ||||
\(531\) | −0.819855 | + | 0.339595i | −0.0355787 | + | 0.0147372i | ||||
\(532\) | −12.0837 | − | 23.6210i | −0.523894 | − | 1.02410i | ||||
\(533\) | −0.872674 | + | 2.10682i | −0.0377997 | + | 0.0912566i | ||||
\(534\) | 62.4603 | + | 6.65237i | 2.70292 | + | 0.287876i | ||||
\(535\) | 3.09006 | + | 0.827980i | 0.133595 | + | 0.0357967i | ||||
\(536\) | −38.2611 | + | 7.96654i | −1.65263 | + | 0.344102i | ||||
\(537\) | 13.6952 | − | 3.66962i | 0.590993 | − | 0.158356i | ||||
\(538\) | 3.43096 | − | 8.90108i | 0.147919 | − | 0.383753i | ||||
\(539\) | −11.7554 | + | 2.28566i | −0.506343 | + | 0.0984505i | ||||
\(540\) | 5.14581 | − | 5.68325i | 0.221440 | − | 0.244568i | ||||
\(541\) | −4.12687 | − | 0.543312i | −0.177428 | − | 0.0233588i | 0.0412887 | − | 0.999147i | \(-0.486854\pi\) |
−0.218717 | + | 0.975788i | \(0.570187\pi\) | |||||||
\(542\) | 8.91371 | − | 36.9029i | 0.382877 | − | 1.58512i | ||||
\(543\) | −0.579556 | − | 1.00382i | −0.0248711 | − | 0.0430781i | ||||
\(544\) | 28.2150 | − | 11.4587i | 1.20971 | − | 0.491286i | ||||
\(545\) | 1.79561 | 0.0769154 | ||||||||
\(546\) | 5.92736 | − | 0.328495i | 0.253667 | − | 0.0140583i | ||||
\(547\) | −13.2421 | − | 31.9692i | −0.566190 | − | 1.36690i | −0.904744 | − | 0.425956i | \(-0.859938\pi\) |
0.338554 | − | 0.940947i | \(-0.390062\pi\) | |||||||
\(548\) | −14.7820 | + | 4.75770i | −0.631454 | + | 0.203239i | ||||
\(549\) | −2.18161 | − | 16.5710i | −0.0931088 | − | 0.707231i | ||||
\(550\) | −7.74498 | + | 1.21568i | −0.330247 | + | 0.0518370i | ||||
\(551\) | 49.0980 | − | 13.1558i | 2.09165 | − | 0.560455i | ||||
\(552\) | 17.7436 | + | 35.1847i | 0.755219 | + | 1.49756i | ||||
\(553\) | 10.9212 | + | 5.86778i | 0.464415 | + | 0.249523i | ||||
\(554\) | 6.45015 | + | 14.5415i | 0.274041 | + | 0.617808i | ||||
\(555\) | −13.1043 | − | 17.0779i | −0.556248 | − | 0.724917i | ||||
\(556\) | 0.493060 | + | 2.70209i | 0.0209104 | + | 0.114594i | ||||
\(557\) | −0.576651 | − | 0.442480i | −0.0244335 | − | 0.0187485i | 0.596473 | − | 0.802634i | \(-0.296568\pi\) |
−0.620906 | + | 0.783885i | \(0.713235\pi\) | |||||||
\(558\) | −14.6095 | − | 7.95857i | −0.618471 | − | 0.336913i | ||||
\(559\) | 1.71431i | 0.0725074i | ||||||||
\(560\) | −3.61780 | − | 13.5644i | −0.152880 | − | 0.573200i | ||||
\(561\) | − | 24.5156i | − | 1.03505i | ||||||
\(562\) | 12.5233 | − | 22.9891i | 0.528265 | − | 0.969735i | ||||
\(563\) | 8.72655 | + | 6.69612i | 0.367780 | + | 0.282208i | 0.776073 | − | 0.630644i | \(-0.217209\pi\) |
−0.408292 | + | 0.912851i | \(0.633876\pi\) | |||||||
\(564\) | 29.3031 | − | 42.3841i | 1.23388 | − | 1.78469i | ||||
\(565\) | −7.83769 | − | 10.2143i | −0.329734 | − | 0.429718i | ||||
\(566\) | −11.6217 | + | 5.15502i | −0.488496 | + | 0.216682i | ||||
\(567\) | 10.2693 | − | 6.35521i | 0.431270 | − | 0.266894i | ||||
\(568\) | 1.90689 | + | 25.5890i | 0.0800115 | + | 1.07369i | ||||
\(569\) | −4.48148 | + | 1.20081i | −0.187873 | + | 0.0503405i | −0.351529 | − | 0.936177i | \(-0.614338\pi\) |
0.163656 | + | 0.986518i | \(0.447671\pi\) | |||||||
\(570\) | −3.88267 | − | 24.7360i | −0.162627 | − | 1.03608i | ||||
\(571\) | 3.02103 | + | 22.9470i | 0.126426 | + | 0.960301i | 0.930633 | + | 0.365953i | \(0.119257\pi\) |
−0.804207 | + | 0.594349i | \(0.797410\pi\) | |||||||
\(572\) | −0.930902 | + | 1.81455i | −0.0389230 | + | 0.0758700i | ||||
\(573\) | 4.56117 | + | 11.0116i | 0.190546 | + | 0.460018i | ||||
\(574\) | −12.7745 | − | 6.46070i | −0.533199 | − | 0.269664i | ||||
\(575\) | −16.9596 | −0.707263 | ||||||||
\(576\) | 29.9687 | − | 13.0454i | 1.24870 | − | 0.543560i | ||||
\(577\) | 0.147694 | + | 0.255814i | 0.00614858 | + | 0.0106497i | 0.869083 | − | 0.494666i | \(-0.164709\pi\) |
−0.862935 | + | 0.505315i | \(0.831376\pi\) | |||||||
\(578\) | −16.4698 | − | 3.97820i | −0.685054 | − | 0.165471i | ||||
\(579\) | −59.8423 | − | 7.87839i | −2.48696 | − | 0.327415i | ||||
\(580\) | 26.8616 | − | 1.33312i | 1.11537 | − | 0.0553548i | ||||
\(581\) | 23.8092 | − | 10.7260i | 0.987771 | − | 0.444989i | ||||
\(582\) | 32.6258 | + | 12.5758i | 1.35238 | + | 0.521283i | ||||
\(583\) | −11.4747 | + | 3.07464i | −0.475234 | + | 0.127339i | ||||
\(584\) | −15.8434 | − | 23.2589i | −0.655605 | − | 0.962459i | ||||
\(585\) | 3.12025 | + | 0.836068i | 0.129006 | + | 0.0345672i | ||||
\(586\) | −1.22210 | + | 11.4745i | −0.0504844 | + | 0.474008i | ||||
\(587\) | 3.80781 | − | 9.19287i | 0.157165 | − | 0.379430i | −0.825608 | − | 0.564243i | \(-0.809168\pi\) |
0.982774 | + | 0.184813i | \(0.0591680\pi\) | |||||||
\(588\) | −0.751711 | + | 37.2588i | −0.0310000 | + | 1.53653i | ||||
\(589\) | −13.3384 | + | 5.52496i | −0.549601 | + | 0.227652i | ||||
\(590\) | −0.194923 | + | 0.357819i | −0.00802483 | + | 0.0147312i | ||||
\(591\) | −22.6365 | + | 13.0692i | −0.931142 | + | 0.537595i | ||||
\(592\) | −5.56108 | − | 23.7426i | −0.228559 | − | 0.975814i | ||||
\(593\) | −1.47253 | − | 0.850168i | −0.0604698 | − | 0.0349122i | 0.469460 | − | 0.882954i | \(-0.344448\pi\) |
−0.529930 | + | 0.848041i | \(0.677782\pi\) | |||||||
\(594\) | −0.173335 | − | 6.98951i | −0.00711201 | − | 0.286783i | ||||
\(595\) | −6.69342 | + | 17.6684i | −0.274404 | + | 0.724333i | ||||
\(596\) | 18.0028 | + | 6.43133i | 0.737423 | + | 0.263437i | ||||
\(597\) | −6.35532 | − | 8.28242i | −0.260106 | − | 0.338977i | ||||
\(598\) | −2.59812 | + | 3.56560i | −0.106245 | + | 0.145808i | ||||
\(599\) | −5.37460 | − | 1.44012i | −0.219600 | − | 0.0588417i | 0.147341 | − | 0.989086i | \(-0.452928\pi\) |
−0.366942 | + | 0.930244i | \(0.619595\pi\) | |||||||
\(600\) | −1.37808 | + | 24.3574i | −0.0562598 | + | 0.994388i | ||||
\(601\) | −22.0815 | − | 22.0815i | −0.900723 | − | 0.900723i | 0.0947758 | − | 0.995499i | \(-0.469787\pi\) |
−0.995499 | + | 0.0947758i | \(0.969787\pi\) | |||||||
\(602\) | −10.7309 | − | 0.812120i | −0.437361 | − | 0.0330995i | ||||
\(603\) | 52.1556 | + | 21.6036i | 2.12394 | + | 0.879765i | ||||
\(604\) | −19.8886 | + | 6.40131i | −0.809256 | + | 0.260466i | ||||
\(605\) | −6.51936 | + | 8.49619i | −0.265050 | + | 0.345419i | ||||
\(606\) | −13.1389 | + | 54.3951i | −0.533730 | + | 2.20965i | ||||
\(607\) | −8.55391 | + | 14.8158i | −0.347193 | + | 0.601355i | −0.985750 | − | 0.168219i | \(-0.946198\pi\) |
0.638557 | + | 0.769575i | \(0.279532\pi\) | |||||||
\(608\) | 7.53087 | − | 27.3463i | 0.305417 | − | 1.10904i | ||||
\(609\) | −69.4938 | − | 16.3617i | −2.81603 | − | 0.663010i | ||||
\(610\) | −5.55956 | − | 5.29048i | −0.225100 | − | 0.214205i | ||||
\(611\) | 5.71956 | + | 0.752995i | 0.231389 | + | 0.0304629i | ||||
\(612\) | −43.0021 | − | 9.26503i | −1.73826 | − | 0.374517i | ||||
\(613\) | −4.23641 | − | 32.1788i | −0.171107 | − | 1.29969i | −0.834330 | − | 0.551266i | \(-0.814145\pi\) |
0.663223 | − | 0.748422i | \(-0.269188\pi\) | |||||||
\(614\) | 22.8737 | + | 28.3268i | 0.923107 | + | 1.14318i | ||||
\(615\) | −9.55270 | − | 9.55270i | −0.385202 | − | 0.385202i | ||||
\(616\) | −10.9174 | − | 6.68672i | −0.439876 | − | 0.269416i | ||||
\(617\) | 31.1039 | − | 31.1039i | 1.25220 | − | 1.25220i | 0.297465 | − | 0.954733i | \(-0.403859\pi\) |
0.954733 | − | 0.297465i | \(-0.0961411\pi\) | |||||||
\(618\) | −24.2738 | − | 2.58529i | −0.976435 | − | 0.103996i | ||||
\(619\) | 8.98941 | − | 1.18348i | 0.361315 | − | 0.0475680i | 0.0523164 | − | 0.998631i | \(-0.483340\pi\) |
0.308998 | + | 0.951063i | \(0.400006\pi\) | |||||||
\(620\) | −7.51491 | + | 1.37127i | −0.301806 | + | 0.0550717i | ||||
\(621\) | 1.97418 | − | 14.9954i | 0.0792213 | − | 0.601745i | ||||
\(622\) | 0.837347 | + | 33.7650i | 0.0335745 | + | 1.35385i | ||||
\(623\) | −42.2733 | + | 12.7240i | −1.69365 | + | 0.509778i | ||||
\(624\) | 4.90981 | + | 4.02115i | 0.196550 | + | 0.160975i | ||||
\(625\) | −1.47361 | − | 0.850790i | −0.0589444 | − | 0.0340316i | ||||
\(626\) | 9.75153 | + | 15.9627i | 0.389749 | + | 0.637996i | ||||
\(627\) | −18.1155 | − | 13.9005i | −0.723465 | − | 0.555134i | ||||
\(628\) | 2.27317 | − | 27.8947i | 0.0907093 | − | 1.11312i | ||||
\(629\) | −12.5592 | + | 30.3205i | −0.500767 | + | 1.20896i | ||||
\(630\) | −6.71165 | + | 19.1356i | −0.267399 | + | 0.762380i | ||||
\(631\) | 34.6058 | − | 34.6058i | 1.37763 | − | 1.37763i | 0.529034 | − | 0.848600i | \(-0.322554\pi\) |
0.848600 | − | 0.529034i | \(-0.177446\pi\) | |||||||
\(632\) | 4.37219 | + | 12.5118i | 0.173916 | + | 0.497691i | ||||
\(633\) | 15.4644 | − | 57.7140i | 0.614655 | − | 2.29392i | ||||
\(634\) | −6.62303 | − | 42.1945i | −0.263034 | − | 1.67576i | ||||
\(635\) | −16.1631 | + | 12.4024i | −0.641414 | + | 0.492174i | ||||
\(636\) | 1.83240 | + | 36.9219i | 0.0726593 | + | 1.46405i | ||||
\(637\) | −3.74991 | + | 1.82920i | −0.148577 | + | 0.0724754i | ||||
\(638\) | 16.9076 | − | 17.7675i | 0.669379 | − | 0.703424i | ||||
\(639\) | 18.5327 | − | 32.0996i | 0.733142 | − | 1.26984i | ||||
\(640\) | 6.94281 | − | 13.3054i | 0.274439 | − | 0.525941i | ||||
\(641\) | 16.1845 | + | 28.0324i | 0.639250 | + | 1.10721i | 0.985598 | + | 0.169108i | \(0.0540886\pi\) |
−0.346347 | + | 0.938106i | \(0.612578\pi\) | |||||||
\(642\) | −2.56637 | − | 8.70820i | −0.101286 | − | 0.343685i | ||||
\(643\) | 1.89126 | + | 4.56590i | 0.0745839 | + | 0.180061i | 0.956774 | − | 0.290831i | \(-0.0939319\pi\) |
−0.882190 | + | 0.470893i | \(0.843932\pi\) | |||||||
\(644\) | −21.0886 | − | 17.9524i | −0.831006 | − | 0.707425i | ||||
\(645\) | −9.38279 | − | 3.88648i | −0.369447 | − | 0.153030i | ||||
\(646\) | −29.7000 | + | 23.9825i | −1.16853 | + | 0.943580i | ||||
\(647\) | 7.18841 | − | 26.8275i | 0.282606 | − | 1.05470i | −0.667965 | − | 0.744192i | \(-0.732835\pi\) |
0.950571 | − | 0.310507i | \(-0.100499\pi\) | |||||||
\(648\) | 12.6845 | + | 2.40552i | 0.498294 | + | 0.0944976i | ||||
\(649\) | 0.0961743 | + | 0.358927i | 0.00377517 | + | 0.0140891i | ||||
\(650\) | −2.49677 | + | 1.10749i | −0.0979313 | + | 0.0434393i | ||||
\(651\) | 20.1763 | + | 2.03111i | 0.790770 | + | 0.0796056i | ||||
\(652\) | −36.2374 | + | 17.1612i | −1.41917 | + | 0.672086i | ||||
\(653\) | −3.36747 | + | 25.5785i | −0.131779 | + | 1.00096i | 0.789961 | + | 0.613157i | \(0.210101\pi\) |
−0.921741 | + | 0.387807i | \(0.873233\pi\) | |||||||
\(654\) | −2.65646 | − | 4.34847i | −0.103876 | − | 0.170038i | ||||
\(655\) | −15.3927 | + | 8.88699i | −0.601444 | + | 0.347244i | ||||
\(656\) | −5.40510 | − | 14.3175i | −0.211034 | − | 0.559004i | ||||
\(657\) | 40.6511i | 1.58595i | ||||||||
\(658\) | −7.42302 | + | 35.4457i | −0.289379 | + | 1.38182i | ||||
\(659\) | −10.6410 | + | 4.40765i | −0.414515 | + | 0.171698i | −0.580187 | − | 0.814483i | \(-0.697021\pi\) |
0.165672 | + | 0.986181i | \(0.447021\pi\) | |||||||
\(660\) | −7.82100 | − | 9.20878i | −0.304432 | − | 0.358451i | ||||
\(661\) | 41.8739 | − | 5.51280i | 1.62870 | − | 0.214423i | 0.739902 | − | 0.672714i | \(-0.234872\pi\) |
0.888802 | + | 0.458291i | \(0.151538\pi\) | |||||||
\(662\) | −13.3781 | + | 18.3598i | −0.519954 | + | 0.713574i | ||||
\(663\) | −2.21062 | − | 8.25016i | −0.0858535 | − | 0.320410i | ||||
\(664\) | 26.5143 | + | 8.73703i | 1.02895 | + | 0.339063i | ||||
\(665\) | 9.26062 | + | 14.9641i | 0.359112 | + | 0.580284i | ||||
\(666\) | −12.6687 | + | 32.8669i | −0.490902 | + | 1.27357i | ||||
\(667\) | 42.0934 | − | 32.2994i | 1.62986 | − | 1.25064i | ||||
\(668\) | 16.6287 | + | 3.58274i | 0.643385 | + | 0.138620i | ||||
\(669\) | 27.0583 | − | 35.2631i | 1.04614 | − | 1.36335i | ||||
\(670\) | 24.8640 | − | 7.32759i | 0.960581 | − | 0.283090i | ||||
\(671\) | −6.99874 | −0.270183 | ||||||||
\(672\) | −27.4969 | + | 28.8288i | −1.06072 | + | 1.11209i | ||||
\(673\) | 44.7537 | 1.72513 | 0.862563 | − | 0.505949i | \(-0.168858\pi\) | ||||
0.862563 | + | 0.505949i | \(0.168858\pi\) | |||||||
\(674\) | −16.7366 | + | 4.93238i | −0.644669 | + | 0.189988i | ||||
\(675\) | 5.70039 | − | 7.42890i | 0.219408 | − | 0.285938i | ||||
\(676\) | 5.32652 | − | 24.7222i | 0.204866 | − | 0.950853i | ||||
\(677\) | −5.59437 | + | 4.29271i | −0.215009 | + | 0.164982i | −0.710651 | − | 0.703545i | \(-0.751599\pi\) |
0.495642 | + | 0.868527i | \(0.334933\pi\) | |||||||
\(678\) | −13.1409 | + | 34.0919i | −0.504673 | + | 1.30929i | ||||
\(679\) | −24.5631 | + | 0.751111i | −0.942646 | + | 0.0288250i | ||||
\(680\) | −18.0348 | + | 9.09492i | −0.691601 | + | 0.348774i | ||||
\(681\) | 2.01686 | + | 7.52701i | 0.0772861 | + | 0.288436i | ||||
\(682\) | −4.10253 | + | 5.63023i | −0.157094 | + | 0.215593i | ||||
\(683\) | −10.4129 | + | 1.37088i | −0.398437 | + | 0.0524552i | −0.327082 | − | 0.944996i | \(-0.606065\pi\) |
−0.0713545 | + | 0.997451i | \(0.522732\pi\) | |||||||
\(684\) | −31.2288 | + | 26.5226i | −1.19406 | + | 1.01412i | ||||
\(685\) | 9.51559 | − | 3.94148i | 0.363572 | − | 0.150596i | ||||
\(686\) | −9.67367 | − | 24.3397i | −0.369343 | − | 0.929293i | ||||
\(687\) | − | 43.5836i | − | 1.66282i | ||||||
\(688\) | −7.87291 | − | 8.38896i | −0.300152 | − | 0.319826i | ||||
\(689\) | −3.58429 | + | 2.06939i | −0.136551 | + | 0.0788376i | ||||
\(690\) | −13.6252 | − | 22.3036i | −0.518702 | − | 0.849084i | ||||
\(691\) | −3.87592 | + | 29.4406i | −0.147447 | + | 1.11997i | 0.744432 | + | 0.667698i | \(0.232720\pi\) |
−0.891879 | + | 0.452273i | \(0.850613\pi\) | |||||||
\(692\) | −4.86081 | − | 10.2640i | −0.184780 | − | 0.390179i | ||||
\(693\) | 7.59583 | + | 16.8610i | 0.288542 | + | 0.640495i | ||||
\(694\) | 3.46673 | − | 1.53774i | 0.131595 | − | 0.0583716i | ||||
\(695\) | −0.471511 | − | 1.75970i | −0.0178854 | − | 0.0667493i | ||||
\(696\) | −42.9681 | − | 63.0792i | −1.62870 | − | 2.39101i | ||||
\(697\) | −5.33077 | + | 19.8947i | −0.201917 | + | 0.753566i | ||||
\(698\) | −20.2570 | + | 16.3574i | −0.766739 | + | 0.619136i | ||||
\(699\) | 25.5671 | + | 10.5903i | 0.967038 | + | 0.400560i | ||||
\(700\) | −5.74970 | − | 16.1535i | −0.217318 | − | 0.610546i | ||||
\(701\) | 7.49691 | + | 18.0991i | 0.283154 | + | 0.683595i | 0.999906 | − | 0.0137337i | \(-0.00437171\pi\) |
−0.716751 | + | 0.697329i | \(0.754372\pi\) | |||||||
\(702\) | −0.688589 | − | 2.33652i | −0.0259891 | − | 0.0881864i | ||||
\(703\) | 15.2838 | + | 26.4724i | 0.576441 | + | 0.998425i | ||||
\(704\) | −3.77790 | − | 13.1546i | −0.142385 | − | 0.495784i | ||||
\(705\) | −17.0881 | + | 29.5974i | −0.643574 | + | 1.11470i | ||||
\(706\) | −15.0538 | + | 15.8195i | −0.566558 | + | 0.595373i | ||||
\(707\) | −6.32294 | − | 38.8179i | −0.237799 | − | 1.45990i | ||||
\(708\) | 1.15491 | − | 0.0573172i | 0.0434042 | − | 0.00215411i | ||||
\(709\) | 14.8796 | − | 11.4175i | 0.558815 | − | 0.428794i | −0.290350 | − | 0.956920i | \(-0.593772\pi\) |
0.849166 | + | 0.528126i | \(0.177105\pi\) | |||||||
\(710\) | −2.63909 | − | 16.8133i | −0.0990434 | − | 0.630993i | ||||
\(711\) | 4.95502 | − | 18.4924i | 0.185828 | − | 0.693519i | ||||
\(712\) | −42.5126 | − | 20.4948i | −1.59323 | − | 0.768076i | ||||
\(713\) | −10.6562 | + | 10.6562i | −0.399077 | + | 0.399077i | ||||
\(714\) | 52.6903 | − | 9.92936i | 1.97189 | − | 0.371597i | ||||
\(715\) | 0.517638 | − | 1.24969i | 0.0193586 | − | 0.0467357i | ||||
\(716\) | −10.6177 | − | 0.865244i | −0.396801 | − | 0.0323357i | ||||
\(717\) | −3.53986 | − | 2.71623i | −0.132198 | − | 0.101439i | ||||
\(718\) | −0.214150 | − | 0.350551i | −0.00799202 | − | 0.0130824i | ||||
\(719\) | 10.9538 | + | 6.32419i | 0.408509 | + | 0.235853i | 0.690149 | − | 0.723667i | \(-0.257545\pi\) |
−0.281640 | + | 0.959520i | \(0.590878\pi\) | |||||||
\(720\) | −19.1086 | + | 10.2384i | −0.712135 | + | 0.381562i | ||||
\(721\) | 16.4286 | − | 4.94491i | 0.611832 | − | 0.184158i | ||||
\(722\) | 0.215331 | + | 8.68295i | 0.00801379 | + | 0.323146i | ||||
\(723\) | 2.64371 | − | 20.0810i | 0.0983208 | − | 0.746821i | ||||
\(724\) | 0.156334 | + | 0.856750i | 0.00581013 | + | 0.0318409i | ||||
\(725\) | 32.5674 | − | 4.28758i | 1.20952 | − | 0.159237i | ||||
\(726\) | 30.2203 | + | 3.21863i | 1.12158 | + | 0.119454i | ||||
\(727\) | −8.10183 | + | 8.10183i | −0.300480 | + | 0.300480i | −0.841202 | − | 0.540721i | \(-0.818151\pi\) |
0.540721 | + | 0.841202i | \(0.318151\pi\) | |||||||
\(728\) | −4.27696 | − | 1.26581i | −0.158515 | − | 0.0469141i | ||||
\(729\) | −29.5047 | − | 29.5047i | −1.09277 | − | 1.09277i | ||||
\(730\) | 11.7266 | + | 14.5222i | 0.434019 | + | 0.537491i | ||||
\(731\) | 2.02100 | + | 15.3511i | 0.0747496 | + | 0.567779i | ||||
\(732\) | −4.58716 | + | 21.2906i | −0.169546 | + | 0.786921i | ||||
\(733\) | −30.3827 | − | 3.99996i | −1.12221 | − | 0.147742i | −0.453495 | − | 0.891259i | \(-0.649823\pi\) |
−0.668717 | + | 0.743517i | \(0.733156\pi\) | |||||||
\(734\) | −25.3743 | − | 24.1463i | −0.936584 | − | 0.891255i | ||||
\(735\) | −1.51024 | − | 24.6711i | −0.0557060 | − | 0.910007i | ||||
\(736\) | −3.66105 | − | 29.3801i | −0.134948 | − | 1.08296i | ||||
\(737\) | 11.8194 | − | 20.4719i | 0.435374 | − | 0.754091i | ||||
\(738\) | −5.19034 | + | 21.4881i | −0.191059 | + | 0.790988i | ||||
\(739\) | 10.2948 | − | 13.4165i | 0.378702 | − | 0.493534i | −0.564649 | − | 0.825331i | \(-0.690988\pi\) |
0.943351 | + | 0.331797i | \(0.107655\pi\) | |||||||
\(740\) | 4.95529 | + | 15.3959i | 0.182160 | + | 0.565964i | ||||
\(741\) | −7.34980 | − | 3.04438i | −0.270001 | − | 0.111838i | ||||
\(742\) | −11.2557 | − | 23.4168i | −0.413209 | − | 0.859656i | ||||
\(743\) | −0.628600 | − | 0.628600i | −0.0230611 | − | 0.0230611i | 0.695482 | − | 0.718543i | \(-0.255191\pi\) |
−0.718543 | + | 0.695482i | \(0.755191\pi\) | |||||||
\(744\) | 14.4386 | + | 16.1703i | 0.529343 | + | 0.592833i | ||||
\(745\) | −12.2475 | − | 3.28172i | −0.448715 | − | 0.120233i | ||||
\(746\) | −1.87661 | + | 2.57541i | −0.0687074 | + | 0.0942926i | ||||
\(747\) | −24.5484 | − | 31.9922i | −0.898181 | − | 1.17053i | ||||
\(748\) | −6.19675 | + | 17.3461i | −0.226575 | + | 0.634238i | ||||
\(749\) | 4.03714 | + | 4.94096i | 0.147514 | + | 0.180539i | ||||
\(750\) | −1.02016 | − | 41.1367i | −0.0372510 | − | 1.50210i | ||||
\(751\) | −8.64463 | − | 4.99098i | −0.315447 | − | 0.182124i | 0.333914 | − | 0.942603i | \(-0.391630\pi\) |
−0.649361 | + | 0.760480i | \(0.724964\pi\) | |||||||
\(752\) | −31.4468 | + | 22.5822i | −1.14675 | + | 0.823488i | ||||
\(753\) | −70.1795 | + | 40.5182i | −2.55748 | + | 1.47656i | ||||
\(754\) | 4.08773 | − | 7.50384i | 0.148866 | − | 0.273274i | ||||
\(755\) | 12.8029 | − | 5.30313i | 0.465944 | − | 0.193001i | ||||
\(756\) | 14.9520 | − | 3.20344i | 0.543800 | − | 0.116508i | ||||
\(757\) | −6.50215 | + | 15.6976i | −0.236325 | + | 0.570539i | −0.996897 | − | 0.0787146i | \(-0.974918\pi\) |
0.760572 | + | 0.649253i | \(0.224918\pi\) | |||||||
\(758\) | 1.80742 | − | 16.9702i | 0.0656483 | − | 0.616384i | ||||
\(759\) | −23.0226 | − | 6.16890i | −0.835669 | − | 0.223917i | ||||
\(760\) | −3.50525 | + | 18.4835i | −0.127149 | + | 0.670465i | ||||
\(761\) | −0.398743 | + | 0.106843i | −0.0144544 | + | 0.00387305i | −0.266039 | − | 0.963962i | \(-0.585715\pi\) |
0.251585 | + | 0.967835i | \(0.419048\pi\) | |||||||
\(762\) | 53.9472 | + | 20.7942i | 1.95430 | + | 0.753295i | ||||
\(763\) | 2.90659 | + | 2.09233i | 0.105226 | + | 0.0757474i | ||||
\(764\) | −0.443894 | − | 8.94424i | −0.0160595 | − | 0.323591i | ||||
\(765\) | 28.9265 | + | 3.80824i | 1.04584 | + | 0.137687i | ||||
\(766\) | 39.7958 | + | 9.61248i | 1.43788 | + | 0.347313i | ||||
\(767\) | 0.0647303 | + | 0.112116i | 0.00233728 | + | 0.00404828i | ||||
\(768\) | −42.4933 | + | 2.87069i | −1.53334 | + | 0.103587i | ||||
\(769\) | 4.31950 | 0.155765 | 0.0778826 | − | 0.996963i | \(-0.475184\pi\) | ||||
0.0778826 | + | 0.996963i | \(0.475184\pi\) | |||||||
\(770\) | 7.57739 | + | 3.83225i | 0.273070 | + | 0.138105i | ||||
\(771\) | 14.7072 | + | 35.5063i | 0.529666 | + | 1.27873i | ||||
\(772\) | 40.3503 | + | 20.7006i | 1.45224 | + | 0.745029i | ||||
\(773\) | −4.02147 | − | 30.5461i | −0.144642 | − | 1.09867i | −0.897667 | − | 0.440675i | \(-0.854739\pi\) |
0.753025 | − | 0.657992i | \(-0.228594\pi\) | |||||||
\(774\) | 2.57693 | + | 16.4173i | 0.0926258 | + | 0.590108i | ||||
\(775\) | −9.01214 | + | 2.41479i | −0.323725 | + | 0.0867420i | ||||
\(776\) | −19.9058 | − | 17.1448i | −0.714576 | − | 0.615461i | ||||
\(777\) | −1.31226 | − | 42.9141i | −0.0470772 | − | 1.53954i | ||||
\(778\) | −7.87259 | + | 3.49204i | −0.282246 | + | 0.125196i | ||||
\(779\) | 11.6784 | + | 15.2196i | 0.418421 | + | 0.545297i | ||||
\(780\) | −3.46235 | − | 2.39376i | −0.123972 | − | 0.0857104i | ||||
\(781\) | −12.3133 | − | 9.44836i | −0.440606 | − | 0.338089i | ||||
\(782\) | −19.0618 | + | 34.9917i | −0.681648 | + | 1.25130i | ||||
\(783\) | 29.2947i | 1.04691i | ||||||||
\(784\) | 9.94967 | − | 26.1726i | 0.355345 | − | 0.934735i | ||||
\(785\) | 18.5628i | 0.662534i | ||||||||
\(786\) | 44.2942 | + | 24.1293i | 1.57992 | + | 0.860664i | ||||
\(787\) | −17.6022 | − | 13.5067i | −0.627452 | − | 0.481461i | 0.245416 | − | 0.969418i | \(-0.421076\pi\) |
−0.872868 | + | 0.487957i | \(0.837742\pi\) | |||||||
\(788\) | 19.3200 | − | 3.52540i | 0.688247 | − | 0.125587i | ||||
\(789\) | 19.2705 | + | 25.1138i | 0.686048 | + | 0.894075i | ||||
\(790\) | −3.56434 | − | 8.03559i | −0.126813 | − | 0.285893i | ||||
\(791\) | −0.784864 | − | 25.6669i | −0.0279065 | − | 0.912610i | ||||
\(792\) | −6.18731 | + | 18.7766i | −0.219856 | + | 0.667198i | ||||
\(793\) | −2.35526 | + | 0.631090i | −0.0836378 | + | 0.0224107i | ||||
\(794\) | −30.7602 | + | 4.82825i | −1.09164 | + | 0.171348i | ||||
\(795\) | −3.20036 | − | 24.3092i | −0.113505 | − | 0.862157i | ||||
\(796\) | 2.40321 | + | 7.46668i | 0.0851796 | + | 0.264649i | ||||
\(797\) | −16.0161 | − | 38.6663i | −0.567319 | − | 1.36963i | −0.903806 | − | 0.427942i | \(-0.859239\pi\) |
0.336487 | − | 0.941688i | \(-0.390761\pi\) | |||||||
\(798\) | 22.5386 | − | 44.5649i | 0.797858 | − | 1.57758i | ||||
\(799\) | 52.1046 | 1.84333 | ||||||||
\(800\) | 7.13182 | − | 16.8859i | 0.252148 | − | 0.597005i | ||||
\(801\) | 34.0861 | + | 59.0389i | 1.20437 | + | 2.08604i | ||||
\(802\) | 9.32622 | − | 38.6107i | 0.329320 | − | 1.36339i | ||||
\(803\) | 16.8765 | + | 2.22183i | 0.595558 | + | 0.0784067i | ||||
\(804\) | −54.5297 | − | 49.3731i | −1.92312 | − | 1.74126i | ||||
\(805\) | 14.9081 | + | 10.7317i | 0.525442 | + | 0.378243i | ||||
\(806\) | −0.872922 | + | 2.26465i | −0.0307473 | + | 0.0797690i | ||||
\(807\) | 17.3436 | − | 4.64721i | 0.610525 | − | 0.163590i | ||||
\(808\) | 23.0458 | − | 35.1664i | 0.810747 | − | 1.23715i | ||||
\(809\) | 25.4770 | + | 6.82653i | 0.895723 | + | 0.240008i | 0.677178 | − | 0.735819i | \(-0.263203\pi\) |
0.218544 | + | 0.975827i | \(0.429869\pi\) | |||||||
\(810\) | −8.51490 | − | 0.906884i | −0.299183 | − | 0.0318646i | ||||
\(811\) | 1.07609 | − | 2.59792i | 0.0377868 | − | 0.0912253i | −0.903859 | − | 0.427829i | \(-0.859278\pi\) |
0.941646 | + | 0.336604i | \(0.109278\pi\) | |||||||
\(812\) | 45.0349 | + | 29.1425i | 1.58042 | + | 1.02270i | ||||
\(813\) | 66.0182 | − | 27.3456i | 2.31536 | − | 0.959053i | ||||
\(814\) | 12.9524 | + | 7.05584i | 0.453982 | + | 0.247307i | ||||
\(815\) | 23.0309 | − | 13.2969i | 0.806737 | − | 0.465770i | ||||
\(816\) | 48.7064 | + | 30.2199i | 1.70506 | + | 1.05791i | ||||
\(817\) | 12.4894 | + | 7.21076i | 0.436949 | + | 0.252273i | ||||
\(818\) | 23.7177 | − | 0.588181i | 0.829269 | − | 0.0205653i | ||||
\(819\) | 4.07658 | + | 4.98922i | 0.142447 | + | 0.174338i | ||||
\(820\) | 4.34444 | + | 9.17365i | 0.151714 | + | 0.320358i | ||||
\(821\) | −8.28284 | − | 10.7944i | −0.289073 | − | 0.376728i | 0.626131 | − | 0.779718i | \(-0.284637\pi\) |
−0.915204 | + | 0.402990i | \(0.867971\pi\) | |||||||
\(822\) | −23.6227 | − | 17.2130i | −0.823938 | − | 0.600372i | ||||
\(823\) | −9.74972 | − | 2.61243i | −0.339854 | − | 0.0910636i | 0.0848556 | − | 0.996393i | \(-0.472957\pi\) |
−0.424710 | + | 0.905330i | \(0.639624\pi\) | |||||||
\(824\) | 16.5215 | + | 7.96485i | 0.575555 | + | 0.277469i | ||||
\(825\) | −10.4343 | − | 10.4343i | −0.363276 | − | 0.363276i | ||||
\(826\) | −0.732473 | + | 0.352076i | −0.0254860 | + | 0.0122503i | ||||
\(827\) | 8.63772 | + | 3.57786i | 0.300363 | + | 0.124414i | 0.527775 | − | 0.849384i | \(-0.323026\pi\) |
−0.227412 | + | 0.973799i | \(0.573026\pi\) | |||||||
\(828\) | −19.5215 | + | 38.0520i | −0.678418 | + | 1.32240i | ||||
\(829\) | −7.46453 | + | 9.72797i | −0.259254 | + | 0.337866i | −0.904786 | − | 0.425867i | \(-0.859969\pi\) |
0.645532 | + | 0.763733i | \(0.276636\pi\) | |||||||
\(830\) | −17.9984 | − | 4.34742i | −0.624734 | − | 0.150901i | ||||
\(831\) | −14.9711 | + | 25.9308i | −0.519343 | + | 0.899529i | ||||
\(832\) | −2.45754 | − | 4.08622i | −0.0852000 | − | 0.141664i | ||||
\(833\) | −31.4228 | + | 20.8007i | −1.08874 | + | 0.720700i | ||||
\(834\) | −3.56395 | + | 3.74521i | −0.123409 | + | 0.129686i | ||||
\(835\) | −11.1857 | − | 1.47263i | −0.387098 | − | 0.0509624i | ||||
\(836\) | 9.30413 | + | 14.4144i | 0.321790 | + | 0.498532i | ||||
\(837\) | −1.08607 | − | 8.24949i | −0.0375400 | − | 0.285144i | ||||
\(838\) | 26.6866 | − | 21.5492i | 0.921873 | − | 0.744405i | ||||
\(839\) | 25.1919 | + | 25.1919i | 0.869721 | + | 0.869721i | 0.992441 | − | 0.122720i | \(-0.0391618\pi\) |
−0.122720 | + | 0.992441i | \(0.539162\pi\) | |||||||
\(840\) | 16.6243 | − | 20.5391i | 0.573593 | − | 0.708665i | ||||
\(841\) | −52.1600 | + | 52.1600i | −1.79862 | + | 1.79862i | ||||
\(842\) | 2.00279 | − | 18.8046i | 0.0690208 | − | 0.648049i | ||||
\(843\) | 48.8532 | − | 6.43164i | 1.68259 | − | 0.221517i | ||||
\(844\) | −25.5301 | + | 36.9269i | −0.878782 | + | 1.27107i | ||||
\(845\) | −2.18938 | + | 16.6300i | −0.0753170 | + | 0.572089i | ||||
\(846\) | 55.9062 | − | 1.38643i | 1.92209 | − | 0.0476665i | ||||
\(847\) | −20.4532 | + | 6.15629i | −0.702779 | + | 0.211533i | ||||
\(848\) | 8.03611 | − | 26.5874i | 0.275961 | − | 0.913015i | ||||
\(849\) | −20.7241 | − | 11.9651i | −0.711249 | − | 0.410640i | ||||
\(850\) | −21.0521 | + | 12.8607i | −0.722082 | + | 0.441117i | ||||
\(851\) | 25.3137 | + | 19.4239i | 0.867743 | + | 0.665842i | ||||
\(852\) | −36.8129 | + | 31.2652i | −1.26119 | + | 1.07113i | ||||
\(853\) | −8.82371 | + | 21.3023i | −0.302118 | + | 0.729378i | 0.697796 | + | 0.716296i | \(0.254164\pi\) |
−0.999914 | + | 0.0130814i | \(0.995836\pi\) | |||||||
\(854\) | −2.83464 | − | 15.0421i | −0.0969994 | − | 0.514729i | ||||
\(855\) | 19.2156 | − | 19.2156i | 0.657159 | − | 0.657159i | ||||
\(856\) | −0.385304 | + | 6.81022i | −0.0131694 | + | 0.232768i | ||||
\(857\) | −0.479471 | + | 1.78941i | −0.0163784 | + | 0.0611250i | −0.973631 | − | 0.228127i | \(-0.926740\pi\) |
0.957253 | + | 0.289252i | \(0.0934065\pi\) | |||||||
\(858\) | −3.79220 | + | 0.595240i | −0.129464 | + | 0.0203212i | ||||
\(859\) | −4.44475 | + | 3.41058i | −0.151653 | + | 0.116367i | −0.681801 | − | 0.731538i | \(-0.738803\pi\) |
0.530148 | + | 0.847905i | \(0.322136\pi\) | |||||||
\(860\) | 5.65646 | + | 5.12155i | 0.192884 | + | 0.174644i | ||||
\(861\) | −4.33188 | − | 26.5944i | −0.147630 | − | 0.906335i | ||||
\(862\) | 10.6082 | + | 10.0948i | 0.361316 | + | 0.343829i | ||||
\(863\) | 1.82430 | − | 3.15978i | 0.0620999 | − | 0.107560i | −0.833304 | − | 0.552815i | \(-0.813554\pi\) |
0.895404 | + | 0.445255i | \(0.146887\pi\) | |||||||
\(864\) | 14.1001 | + | 8.27145i | 0.479693 | + | 0.281401i | ||||
\(865\) | 3.76626 | + | 6.52335i | 0.128057 | + | 0.221801i | ||||
\(866\) | 25.1112 | − | 7.40045i | 0.853315 | − | 0.251478i | ||||
\(867\) | −12.2044 | − | 29.4640i | −0.414483 | − | 1.00065i | ||||
\(868\) | −13.7624 | − | 6.53702i | −0.467126 | − | 0.221881i | ||||
\(869\) | −7.40637 | − | 3.06782i | −0.251244 | − | 0.104069i | ||||
\(870\) | 31.8030 | + | 39.3849i | 1.07822 | + | 1.33527i | ||||
\(871\) | 2.13156 | − | 7.95510i | 0.0722252 | − | 0.269548i | ||||
\(872\) | 0.780441 | + | 3.74824i | 0.0264291 | + | 0.126931i | ||||
\(873\) | 9.82181 | + | 36.6555i | 0.332418 | + | 1.24060i | ||||
\(874\) | 15.0486 | + | 33.9260i | 0.509025 | + | 1.14757i | ||||
\(875\) | 11.8789 | + | 26.3684i | 0.401582 | + | 0.891416i | ||||
\(876\) | 17.8202 | − | 49.8829i | 0.602089 | − | 1.68539i | ||||
\(877\) | 3.27416 | − | 24.8697i | 0.110560 | − | 0.839790i | −0.842857 | − | 0.538137i | \(-0.819128\pi\) |
0.953418 | − | 0.301653i | \(-0.0975384\pi\) | |||||||
\(878\) | 23.6970 | − | 14.4764i | 0.799734 | − | 0.488554i | ||||
\(879\) | −18.8100 | + | 10.8599i | −0.634444 | + | 0.366297i | ||||
\(880\) | 3.20611 | + | 8.49260i | 0.108078 | + | 0.286285i | ||||
\(881\) | 25.2286i | 0.849972i | 0.905200 | + | 0.424986i | \(0.139721\pi\) | ||||
−0.905200 | + | 0.424986i | \(0.860279\pi\) | |||||||
\(882\) | −33.1620 | + | 23.1544i | −1.11662 | + | 0.779650i | ||||
\(883\) | −42.5118 | + | 17.6089i | −1.43063 | + | 0.592588i | −0.957508 | − | 0.288406i | \(-0.906875\pi\) |
−0.473126 | + | 0.880995i | \(0.656875\pi\) | |||||||
\(884\) | −0.521233 | + | 6.39620i | −0.0175310 | + | 0.215128i | ||||
\(885\) | −0.760388 | + | 0.100107i | −0.0255601 | + | 0.00336506i | ||||
\(886\) | −34.2645 | − | 24.9673i | −1.15114 | − | 0.838791i | ||||
\(887\) | 2.77928 | + | 10.3724i | 0.0933190 | + | 0.348271i | 0.996759 | − | 0.0804428i | \(-0.0256334\pi\) |
−0.903440 | + | 0.428714i | \(0.858967\pi\) | |||||||
\(888\) | 29.9536 | − | 34.7773i | 1.00518 | − | 1.16705i | ||||
\(889\) | −40.6154 | + | 1.24197i | −1.36220 | + | 0.0416544i | ||||
\(890\) | 29.2078 | + | 11.2583i | 0.979047 | + | 0.377378i | ||||
\(891\) | −6.19535 | + | 4.75386i | −0.207552 | + | 0.159260i | ||||
\(892\) | −28.0586 | + | 18.1111i | −0.939471 | + | 0.606404i | ||||
\(893\) | 29.5437 | − | 38.5021i | 0.988641 | − | 1.28842i | ||||
\(894\) | 10.1719 | + | 34.5152i | 0.340198 | + | 1.15436i | ||||
\(895\) | 7.06562 | 0.236178 | ||||||||
\(896\) | 26.7425 | − | 13.4476i | 0.893405 | − | 0.449252i | ||||
\(897\) | −8.30399 | −0.277262 | ||||||||
\(898\) | −10.8885 | − | 36.9470i | −0.363355 | − | 1.23294i | ||||
\(899\) | 17.7690 | − | 23.1570i | 0.592629 | − | 0.772329i | ||||
\(900\) | −22.2459 | + | 14.3592i | −0.741530 | + | 0.478639i | ||||
\(901\) | −29.6566 | + | 22.7563i | −0.988004 | + | 0.758122i | ||||
\(902\) | 8.63719 | + | 3.32925i | 0.287587 | + | 0.110852i | ||||
\(903\) | −10.6594 | − | 17.2244i | −0.354723 | − | 0.573192i | ||||
\(904\) | 17.9152 | − | 20.8003i | 0.595851 | − | 0.691807i | ||||
\(905\) | −0.149502 | − | 0.557948i | −0.00496961 | − | 0.0185468i | ||||
\(906\) | −31.7835 | − | 23.1595i | −1.05594 | − | 0.769421i | ||||
\(907\) | −13.1217 | + | 1.72751i | −0.435700 | + | 0.0573610i | −0.345186 | − | 0.938534i | \(-0.612184\pi\) |
−0.0905138 | + | 0.995895i | \(0.528851\pi\) | |||||||
\(908\) | 0.475546 | − | 5.83556i | 0.0157815 | − | 0.193660i | ||||
\(909\) | −56.1103 | + | 23.2417i | −1.86106 | + | 0.770877i | ||||
\(910\) | 2.89555 | + | 0.606384i | 0.0959866 | + | 0.0201014i | ||||
\(911\) | 17.1732i | 0.568975i | 0.958680 | + | 0.284487i | \(0.0918234\pi\) | ||||
−0.958680 | + | 0.284487i | \(0.908177\pi\) | |||||||
\(912\) | 49.9475 | − | 18.8561i | 1.65393 | − | 0.624387i | ||||
\(913\) | −14.6234 | + | 8.44283i | −0.483964 | + | 0.279417i | ||||
\(914\) | −20.8483 | + | 12.7361i | −0.689601 | + | 0.421274i | ||||
\(915\) | 1.88548 | − | 14.3216i | 0.0623320 | − | 0.473458i | ||||
\(916\) | −11.0165 | + | 30.8378i | −0.363996 | + | 1.01891i | ||||
\(917\) | −35.2721 | − | 3.55078i | −1.16479 | − | 0.117257i | ||||
\(918\) | −8.92064 | − | 20.1110i | −0.294425 | − | 0.663763i | ||||
\(919\) | −8.07953 | − | 30.1532i | −0.266519 | − | 0.994663i | −0.961314 | − | 0.275455i | \(-0.911172\pi\) |
0.694795 | − | 0.719208i | \(-0.255495\pi\) | |||||||
\(920\) | 4.00294 | + | 19.2250i | 0.131973 | + | 0.633830i | ||||
\(921\) | −17.7369 | + | 66.1952i | −0.584452 | + | 2.18121i | ||||
\(922\) | −8.04674 | − | 9.96510i | −0.265005 | − | 0.328183i | ||||
\(923\) | −4.99574 | − | 2.06930i | −0.164437 | − | 0.0681120i | ||||
\(924\) | −1.92951 | − | 24.0198i | −0.0634762 | − | 0.790195i | ||||
\(925\) | 7.55956 | + | 18.2504i | 0.248557 | + | 0.600069i | ||||
\(926\) | −16.0131 | + | 4.71916i | −0.526223 | + | 0.155081i | ||||
\(927\) | −13.2468 | − | 22.9441i | −0.435082 | − | 0.753584i | ||||
\(928\) | 14.4579 | + | 55.4929i | 0.474605 | + | 1.82164i | ||||
\(929\) | 17.7486 | − | 30.7415i | 0.582314 | − | 1.00860i | −0.412891 | − | 0.910781i | \(-0.635481\pi\) |
0.995204 | − | 0.0978163i | \(-0.0311858\pi\) | |||||||
\(930\) | −10.4160 | − | 9.91187i | −0.341554 | − | 0.325023i | ||||
\(931\) | −2.44656 | + | 35.0137i | −0.0801828 | + | 1.14753i | ||||
\(932\) | −15.4133 | − | 13.9557i | −0.504878 | − | 0.457135i | ||||
\(933\) | −50.4360 | + | 38.7009i | −1.65120 | + | 1.26701i | ||||
\(934\) | −19.2006 | + | 3.01380i | −0.628262 | + | 0.0986146i | ||||
\(935\) | 3.16202 | − | 11.8008i | 0.103409 | − | 0.385928i | ||||
\(936\) | −0.389068 | + | 6.87674i | −0.0127171 | + | 0.224773i | ||||
\(937\) | −3.04316 | + | 3.04316i | −0.0994158 | + | 0.0994158i | −0.755065 | − | 0.655650i | \(-0.772395\pi\) |
0.655650 | + | 0.755065i | \(0.272395\pi\) | |||||||
\(938\) | 48.7863 | + | 17.1114i | 1.59293 | + | 0.558707i | ||||
\(939\) | −13.4736 | + | 32.5282i | −0.439695 | + | 1.06152i | ||||
\(940\) | 19.5720 | − | 16.6224i | 0.638367 | − | 0.542165i | ||||
\(941\) | 13.3746 | + | 10.2627i | 0.435998 | + | 0.334553i | 0.803327 | − | 0.595538i | \(-0.203061\pi\) |
−0.367329 | + | 0.930091i | \(0.619728\pi\) | |||||||
\(942\) | 44.9539 | − | 27.4622i | 1.46468 | − | 0.894766i | ||||
\(943\) | 17.3417 | + | 10.0123i | 0.564725 | + | 0.326044i | ||||
\(944\) | −0.831650 | − | 0.251369i | −0.0270679 | − | 0.00818135i | ||||
\(945\) | −9.71173 | + | 2.92318i | −0.315923 | + | 0.0950909i | ||||
\(946\) | 6.95656 | − | 0.172518i | 0.226177 | − | 0.00560903i | ||||
\(947\) | −6.43786 | + | 48.9004i | −0.209202 | + | 1.58905i | 0.488437 | + | 0.872599i | \(0.337567\pi\) |
−0.697639 | + | 0.716449i | \(0.745766\pi\) | |||||||
\(948\) | −14.1868 | + | 20.5199i | −0.460766 | + | 0.666454i | ||||
\(949\) | 5.87972 | − | 0.774080i | 0.190864 | − | 0.0251277i | ||||
\(950\) | −2.43347 | + | 22.8483i | −0.0789522 | + | 0.741297i | ||||
\(951\) | 56.8460 | − | 56.8460i | 1.84336 | − | 1.84336i | ||||
\(952\) | −39.7910 | − | 6.29281i | −1.28964 | − | 0.203951i | ||||
\(953\) | 36.4273 | + | 36.4273i | 1.18000 | + | 1.18000i | 0.979744 | + | 0.200253i | \(0.0641764\pi\) |
0.200253 | + | 0.979744i | \(0.435824\pi\) | |||||||
\(954\) | −31.2148 | + | 25.2057i | −1.01062 | + | 0.816066i | ||||
\(955\) | 0.775280 | + | 5.88884i | 0.0250875 | + | 0.190558i | ||||
\(956\) | 1.81807 | + | 2.81664i | 0.0588005 | + | 0.0910966i | ||||
\(957\) | 45.7699 | + | 6.02572i | 1.47953 | + | 0.194784i | ||||
\(958\) | 0.497308 | − | 0.522601i | 0.0160673 | − | 0.0168845i | ||||
\(959\) | 19.9959 | + | 4.70785i | 0.645700 | + | 0.152025i | ||||
\(960\) | 27.9363 | − | 4.18688i | 0.901640 | − | 0.135131i | ||||
\(961\) | 11.3547 | − | 19.6669i | 0.366281 | − | 0.634417i | ||||
\(962\) | 4.99506 | + | 1.20653i | 0.161047 | + | 0.0389002i | ||||
\(963\) | 5.99812 | − | 7.81690i | 0.193287 | − | 0.251896i | ||||
\(964\) | −6.94639 | + | 13.5401i | −0.223728 | + | 0.436099i | ||||
\(965\) | −27.7894 | − | 11.5108i | −0.894574 | − | 0.370545i | ||||
\(966\) | 3.93386 | − | 51.9800i | 0.126570 | − | 1.67243i | ||||
\(967\) | 2.44248 | + | 2.44248i | 0.0785448 | + | 0.0785448i | 0.745288 | − | 0.666743i | \(-0.232312\pi\) |
−0.666743 | + | 0.745288i | \(0.732312\pi\) | |||||||
\(968\) | −20.5689 | − | 9.91604i | −0.661110 | − | 0.318714i | ||||
\(969\) | −69.4041 | − | 18.5968i | −2.22958 | − | 0.597414i | ||||
\(970\) | 14.0827 | + | 10.2615i | 0.452168 | + | 0.329478i | ||||
\(971\) | −5.16730 | − | 6.73416i | −0.165827 | − | 0.216109i | 0.703047 | − | 0.711143i | \(-0.251822\pi\) |
−0.868874 | + | 0.495034i | \(0.835156\pi\) | |||||||
\(972\) | 17.8220 | + | 37.6327i | 0.571642 | + | 1.20707i | ||||
\(973\) | 1.28725 | − | 3.39789i | 0.0412672 | − | 0.108931i | ||||
\(974\) | −32.9691 | + | 0.817610i | −1.05640 | + | 0.0261979i | ||||
\(975\) | −4.45231 | − | 2.57054i | −0.142588 | − | 0.0823232i | ||||
\(976\) | 8.62721 | − | 13.9047i | 0.276150 | − | 0.445080i | ||||
\(977\) | 14.2021 | − | 8.19960i | 0.454366 | − | 0.262328i | −0.255306 | − | 0.966860i | \(-0.582176\pi\) |
0.709672 | + | 0.704532i | \(0.248843\pi\) | |||||||
\(978\) | −66.2738 | − | 36.1027i | −2.11920 | − | 1.15444i | ||||
\(979\) | 26.3733 | − | 10.9242i | 0.842894 | − | 0.349138i | ||||
\(980\) | −5.16746 | + | 17.8379i | −0.165069 | + | 0.569810i | ||||
\(981\) | 2.11639 | − | 5.10942i | 0.0675711 | − | 0.163131i | ||||
\(982\) | −3.28240 | − | 0.349594i | −0.104746 | − | 0.0111560i | ||||
\(983\) | 36.5269 | + | 9.78736i | 1.16503 | + | 0.312168i | 0.788972 | − | 0.614429i | \(-0.210613\pi\) |
0.376056 | + | 0.926597i | \(0.377280\pi\) | |||||||
\(984\) | 15.7888 | − | 24.0927i | 0.503328 | − | 0.768048i | ||||
\(985\) | −12.5819 | + | 3.37132i | −0.400894 | + | 0.107419i | ||||
\(986\) | 27.7580 | − | 72.0135i | 0.883993 | − | 2.29338i | ||||
\(987\) | −62.1491 | + | 27.9981i | −1.97823 | + | 0.891188i | ||||
\(988\) | 4.43086 | + | 4.01185i | 0.140964 | + | 0.127634i | ||||
\(989\) | 14.9247 | + | 1.96488i | 0.474579 | + | 0.0624795i | ||||
\(990\) | 3.07872 | − | 12.7459i | 0.0978480 | − | 0.405093i | ||||
\(991\) | −25.3302 | − | 43.8732i | −0.804640 | − | 1.39368i | −0.916534 | − | 0.399958i | \(-0.869025\pi\) |
0.111893 | − | 0.993720i | \(-0.464308\pi\) | |||||||
\(992\) | −6.12873 | − | 15.0910i | −0.194587 | − | 0.479139i | ||||
\(993\) | −42.7585 | −1.35690 | ||||||||
\(994\) | 15.3197 | − | 30.2913i | 0.485913 | − | 0.960781i | ||||
\(995\) | −1.99093 | − | 4.80652i | −0.0631166 | − | 0.152377i | ||||
\(996\) | 16.0990 | + | 50.0188i | 0.510116 | + | 1.58491i | ||||
\(997\) | 2.09044 | + | 15.8785i | 0.0662049 | + | 0.502876i | 0.992134 | + | 0.125179i | \(0.0399506\pi\) |
−0.925929 | + | 0.377697i | \(0.876716\pi\) | |||||||
\(998\) | 45.2595 | − | 7.10412i | 1.43266 | − | 0.224877i | ||||
\(999\) | −17.0167 | + | 4.55961i | −0.538385 | + | 0.144260i |
(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 | 224.2.bd.a.37.14 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bh.a.625.4 | 240 | |||
7.4 | even | 3 | inner | 224.2.bd.a.165.28 | yes | 240 | |
28.11 | odd | 6 | 896.2.bh.a.753.27 | 240 | |||
32.13 | even | 8 | inner | 224.2.bd.a.205.28 | yes | 240 | |
32.19 | odd | 8 | 896.2.bh.a.401.27 | 240 | |||
224.109 | even | 24 | inner | 224.2.bd.a.109.14 | yes | 240 | |
224.179 | odd | 24 | 896.2.bh.a.529.4 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.14 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.109.14 | yes | 240 | 224.109 | even | 24 | inner | |
224.2.bd.a.165.28 | yes | 240 | 7.4 | even | 3 | inner | |
224.2.bd.a.205.28 | yes | 240 | 32.13 | even | 8 | inner | |
896.2.bh.a.401.27 | 240 | 32.19 | odd | 8 | |||
896.2.bh.a.529.4 | 240 | 224.179 | odd | 24 | |||
896.2.bh.a.625.4 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.753.27 | 240 | 28.11 | odd | 6 |