Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 267.19 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.d.343.19 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.912296 | + | 1.08061i | 0.645091 | + | 0.764106i | ||||
\(3\) | −1.34016 | − | 1.34016i | −0.773742 | − | 0.773742i | 0.205017 | − | 0.978759i | \(-0.434275\pi\) |
−0.978759 | + | 0.205017i | \(0.934275\pi\) | |||||||
\(4\) | −0.335432 | + | 1.97167i | −0.167716 | + | 0.985835i | ||||
\(5\) | −2.21942 | − | 0.272360i | −0.992554 | − | 0.121803i | ||||
\(6\) | 0.225567 | − | 2.67081i | 0.0920873 | − | 1.09035i | ||||
\(7\) | 0.697742 | − | 0.697742i | 0.263722 | − | 0.263722i | −0.562842 | − | 0.826564i | \(-0.690292\pi\) |
0.826564 | + | 0.562842i | \(0.190292\pi\) | |||||||
\(8\) | −2.43662 | + | 1.43628i | −0.861475 | + | 0.507800i | ||||
\(9\) | 0.592060i | 0.197353i | ||||||||
\(10\) | −1.73045 | − | 2.64680i | −0.547217 | − | 0.836991i | ||||
\(11\) | − | 4.74628i | − | 1.43106i | −0.698584 | − | 0.715528i | \(-0.746186\pi\) | ||
0.698584 | − | 0.715528i | \(-0.253814\pi\) | |||||||
\(12\) | 3.09189 | − | 2.19282i | 0.892551 | − | 0.633013i | ||||
\(13\) | 3.30493 | − | 3.30493i | 0.916623 | − | 0.916623i | −0.0801589 | − | 0.996782i | \(-0.525543\pi\) |
0.996782 | + | 0.0801589i | \(0.0255428\pi\) | |||||||
\(14\) | 1.39053 | + | 0.117439i | 0.371636 | + | 0.0313870i | ||||
\(15\) | 2.60937 | + | 3.33938i | 0.673737 | + | 0.862225i | ||||
\(16\) | −3.77497 | − | 1.32272i | −0.943743 | − | 0.330681i | ||||
\(17\) | −1.03069 | − | 1.03069i | −0.249979 | − | 0.249979i | 0.570983 | − | 0.820962i | \(-0.306562\pi\) |
−0.820962 | + | 0.570983i | \(0.806562\pi\) | |||||||
\(18\) | −0.639785 | + | 0.540133i | −0.150799 | + | 0.127311i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | 1.28147 | − | 4.28460i | 0.286545 | − | 0.958067i | ||||
\(21\) | −1.87017 | −0.408105 | ||||||||
\(22\) | 5.12887 | − | 4.33001i | 1.09348 | − | 0.923161i | ||||
\(23\) | −6.40614 | − | 6.40614i | −1.33577 | − | 1.33577i | −0.900110 | − | 0.435662i | \(-0.856514\pi\) |
−0.435662 | − | 0.900110i | \(-0.643486\pi\) | |||||||
\(24\) | 5.19030 | + | 1.34062i | 1.05947 | + | 0.273653i | ||||
\(25\) | 4.85164 | + | 1.20896i | 0.970328 | + | 0.241793i | ||||
\(26\) | 6.58642 | + | 0.556264i | 1.29170 | + | 0.109092i | ||||
\(27\) | −3.22703 | + | 3.22703i | −0.621042 | + | 0.621042i | ||||
\(28\) | 1.14167 | + | 1.60976i | 0.215756 | + | 0.304217i | ||||
\(29\) | − | 1.98037i | − | 0.367746i | −0.982950 | − | 0.183873i | \(-0.941136\pi\) | ||
0.982950 | − | 0.183873i | \(-0.0588636\pi\) | |||||||
\(30\) | −1.22805 | + | 5.86622i | −0.224210 | + | 1.07102i | ||||
\(31\) | 9.29923i | 1.67019i | 0.550106 | + | 0.835095i | \(0.314587\pi\) | ||||
−0.550106 | + | 0.835095i | \(0.685413\pi\) | |||||||
\(32\) | −2.01454 | − | 5.28598i | −0.356124 | − | 0.934439i | ||||
\(33\) | −6.36077 | + | 6.36077i | −1.10727 | + | 1.10727i | ||||
\(34\) | 0.173479 | − | 2.05407i | 0.0297513 | − | 0.352269i | ||||
\(35\) | −1.73862 | + | 1.35854i | −0.293880 | + | 0.229636i | ||||
\(36\) | −1.16735 | − | 0.198596i | −0.194558 | − | 0.0330993i | ||||
\(37\) | −5.70256 | − | 5.70256i | −0.937496 | − | 0.937496i | 0.0606627 | − | 0.998158i | \(-0.480679\pi\) |
−0.998158 | + | 0.0606627i | \(0.980679\pi\) | |||||||
\(38\) | −0.912296 | − | 1.08061i | −0.147994 | − | 0.175298i | ||||
\(39\) | −8.85828 | −1.41846 | ||||||||
\(40\) | 5.79906 | − | 2.52406i | 0.916912 | − | 0.399089i | ||||
\(41\) | 9.41542 | 1.47044 | 0.735221 | − | 0.677828i | \(-0.237078\pi\) | ||||
0.735221 | + | 0.677828i | \(0.237078\pi\) | |||||||
\(42\) | −1.70615 | − | 2.02093i | −0.263265 | − | 0.311836i | ||||
\(43\) | 1.89635 | + | 1.89635i | 0.289191 | + | 0.289191i | 0.836760 | − | 0.547569i | \(-0.184447\pi\) |
−0.547569 | + | 0.836760i | \(0.684447\pi\) | |||||||
\(44\) | 9.35809 | + | 1.59205i | 1.41079 | + | 0.240011i | ||||
\(45\) | 0.161254 | − | 1.31403i | 0.0240383 | − | 0.195884i | ||||
\(46\) | 1.07824 | − | 12.7668i | 0.158978 | − | 1.88237i | ||||
\(47\) | 1.10706 | − | 1.10706i | 0.161482 | − | 0.161482i | −0.621741 | − | 0.783223i | \(-0.713574\pi\) |
0.783223 | + | 0.621741i | \(0.213574\pi\) | |||||||
\(48\) | 3.28640 | + | 6.83173i | 0.474351 | + | 0.986075i | ||||
\(49\) | 6.02631i | 0.860902i | ||||||||
\(50\) | 3.11971 | + | 6.34566i | 0.441194 | + | 0.897412i | ||||
\(51\) | 2.76258i | 0.386838i | ||||||||
\(52\) | 5.40766 | + | 7.62482i | 0.749907 | + | 1.05737i | ||||
\(53\) | −0.00450773 | + | 0.00450773i | −0.000619185 | + | 0.000619185i | −0.707416 | − | 0.706797i | \(-0.750139\pi\) |
0.706797 | + | 0.707416i | \(0.250139\pi\) | |||||||
\(54\) | −6.43116 | − | 0.543151i | −0.875170 | − | 0.0739135i | ||||
\(55\) | −1.29270 | + | 10.5340i | −0.174307 | + | 1.42040i | ||||
\(56\) | −0.697982 | + | 2.70228i | −0.0932717 | + | 0.361108i | ||||
\(57\) | 1.34016 | + | 1.34016i | 0.177509 | + | 0.177509i | ||||
\(58\) | 2.14001 | − | 1.80669i | 0.280997 | − | 0.237230i | ||||
\(59\) | −3.02457 | −0.393765 | −0.196883 | − | 0.980427i | \(-0.563082\pi\) | ||||
−0.196883 | + | 0.980427i | \(0.563082\pi\) | |||||||
\(60\) | −7.45943 | + | 4.02468i | −0.963009 | + | 0.519584i | ||||
\(61\) | −0.724786 | −0.0927993 | −0.0463997 | − | 0.998923i | \(-0.514775\pi\) | ||||
−0.0463997 | + | 0.998923i | \(0.514775\pi\) | |||||||
\(62\) | −10.0488 | + | 8.48365i | −1.27620 | + | 1.07742i | ||||
\(63\) | 0.413105 | + | 0.413105i | 0.0520463 | + | 0.0520463i | ||||
\(64\) | 3.87422 | − | 6.99931i | 0.484278 | − | 0.874914i | ||||
\(65\) | −8.23516 | + | 6.43490i | −1.02145 | + | 0.798151i | ||||
\(66\) | −12.6764 | − | 1.07060i | −1.56036 | − | 0.131782i | ||||
\(67\) | 10.1252 | − | 10.1252i | 1.23699 | − | 1.23699i | 0.275761 | − | 0.961226i | \(-0.411070\pi\) |
0.961226 | − | 0.275761i | \(-0.0889297\pi\) | |||||||
\(68\) | 2.37791 | − | 1.68645i | 0.288364 | − | 0.204512i | ||||
\(69\) | 17.1705i | 2.06709i | ||||||||
\(70\) | −3.05419 | − | 0.639373i | −0.365046 | − | 0.0764197i | ||||
\(71\) | 9.29365i | 1.10295i | 0.834190 | + | 0.551477i | \(0.185935\pi\) | ||||
−0.834190 | + | 0.551477i | \(0.814065\pi\) | |||||||
\(72\) | −0.850361 | − | 1.44262i | −0.100216 | − | 0.170015i | ||||
\(73\) | −4.54609 | + | 4.54609i | −0.532079 | + | 0.532079i | −0.921191 | − | 0.389112i | \(-0.872782\pi\) |
0.389112 | + | 0.921191i | \(0.372782\pi\) | |||||||
\(74\) | 0.959817 | − | 11.3647i | 0.111576 | − | 1.32112i | ||||
\(75\) | −4.88177 | − | 8.12218i | −0.563698 | − | 0.937869i | ||||
\(76\) | 0.335432 | − | 1.97167i | 0.0384767 | − | 0.226166i | ||||
\(77\) | −3.31168 | − | 3.31168i | −0.377401 | − | 0.377401i | ||||
\(78\) | −8.08137 | − | 9.57234i | −0.915035 | − | 1.08385i | ||||
\(79\) | 0.319115 | 0.0359032 | 0.0179516 | − | 0.999839i | \(-0.494286\pi\) | ||||
0.0179516 | + | 0.999839i | \(0.494286\pi\) | |||||||
\(80\) | 8.01798 | + | 3.96383i | 0.896438 | + | 0.443170i | ||||
\(81\) | 10.4256 | 1.15840 | ||||||||
\(82\) | 8.58965 | + | 10.1744i | 0.948568 | + | 1.12357i | ||||
\(83\) | −2.15376 | − | 2.15376i | −0.236406 | − | 0.236406i | 0.578954 | − | 0.815360i | \(-0.303461\pi\) |
−0.815360 | + | 0.578954i | \(0.803461\pi\) | |||||||
\(84\) | 0.627316 | − | 3.68736i | 0.0684458 | − | 0.402324i | ||||
\(85\) | 2.00681 | + | 2.56825i | 0.217669 | + | 0.278566i | ||||
\(86\) | −0.319181 | + | 3.77925i | −0.0344182 | + | 0.407527i | ||||
\(87\) | −2.65402 | + | 2.65402i | −0.284541 | + | 0.284541i | ||||
\(88\) | 6.81696 | + | 11.5649i | 0.726690 | + | 1.23282i | ||||
\(89\) | − | 8.13569i | − | 0.862381i | −0.902261 | − | 0.431191i | \(-0.858094\pi\) | ||
0.902261 | − | 0.431191i | \(-0.141906\pi\) | |||||||
\(90\) | 1.56706 | − | 1.02453i | 0.165183 | − | 0.107995i | ||||
\(91\) | − | 4.61198i | − | 0.483467i | ||||||
\(92\) | 14.7796 | − | 10.4820i | 1.54088 | − | 1.09282i | ||||
\(93\) | 12.4625 | − | 12.4625i | 1.29230 | − | 1.29230i | ||||
\(94\) | 2.20627 | + | 0.186333i | 0.227560 | + | 0.0192188i | ||||
\(95\) | 2.21942 | + | 0.272360i | 0.227708 | + | 0.0279436i | ||||
\(96\) | −4.38426 | + | 9.78387i | −0.447466 | + | 0.998563i | ||||
\(97\) | −8.29185 | − | 8.29185i | −0.841910 | − | 0.841910i | 0.147197 | − | 0.989107i | \(-0.452975\pi\) |
−0.989107 | + | 0.147197i | \(0.952975\pi\) | |||||||
\(98\) | −6.51209 | + | 5.49778i | −0.657820 | + | 0.555360i | ||||
\(99\) | 2.81008 | 0.282423 | ||||||||
\(100\) | −4.01107 | + | 9.16031i | −0.401107 | + | 0.916031i | ||||
\(101\) | 2.37691 | 0.236512 | 0.118256 | − | 0.992983i | \(-0.462270\pi\) | ||||
0.118256 | + | 0.992983i | \(0.462270\pi\) | |||||||
\(102\) | −2.98527 | + | 2.52029i | −0.295585 | + | 0.249546i | ||||
\(103\) | −3.18098 | − | 3.18098i | −0.313432 | − | 0.313432i | 0.532806 | − | 0.846237i | \(-0.321138\pi\) |
−0.846237 | + | 0.532806i | \(0.821138\pi\) | |||||||
\(104\) | −3.30607 | + | 12.7997i | −0.324186 | + | 1.25511i | ||||
\(105\) | 4.15070 | + | 0.509361i | 0.405066 | + | 0.0497085i | ||||
\(106\) | −0.00898348 | 0.000758711i | −0.000872553 | 7.36925e-5i | ||||||
\(107\) | 11.3868 | − | 11.3868i | 1.10080 | − | 1.10080i | 0.106490 | − | 0.994314i | \(-0.466039\pi\) |
0.994314 | − | 0.106490i | \(-0.0339613\pi\) | |||||||
\(108\) | −5.28018 | − | 7.44508i | −0.508086 | − | 0.716403i | ||||
\(109\) | − | 10.1057i | − | 0.967951i | −0.875082 | − | 0.483975i | \(-0.839192\pi\) | ||
0.875082 | − | 0.483975i | \(-0.160808\pi\) | |||||||
\(110\) | −12.5624 | + | 8.21320i | −1.19778 | + | 0.783098i | ||||
\(111\) | 15.2847i | 1.45076i | ||||||||
\(112\) | −3.55688 | + | 1.71104i | −0.336093 | + | 0.161678i | ||||
\(113\) | 4.33960 | − | 4.33960i | 0.408236 | − | 0.408236i | −0.472887 | − | 0.881123i | \(-0.656788\pi\) |
0.881123 | + | 0.472887i | \(0.156788\pi\) | |||||||
\(114\) | −0.225567 | + | 2.67081i | −0.0211263 | + | 0.250144i | ||||
\(115\) | 12.4731 | + | 15.9627i | 1.16312 | + | 1.48853i | ||||
\(116\) | 3.90465 | + | 0.664282i | 0.362537 | + | 0.0616770i | ||||
\(117\) | 1.95672 | + | 1.95672i | 0.180899 | + | 0.180899i | ||||
\(118\) | −2.75930 | − | 3.26838i | −0.254014 | − | 0.300878i | ||||
\(119\) | −1.43831 | −0.131850 | ||||||||
\(120\) | −11.1543 | − | 4.38903i | −1.01825 | − | 0.400662i | ||||
\(121\) | −11.5271 | −1.04792 | ||||||||
\(122\) | −0.661219 | − | 0.783210i | −0.0598640 | − | 0.0709085i | ||||
\(123\) | −12.6182 | − | 12.6182i | −1.13774 | − | 1.13774i | ||||
\(124\) | −18.3350 | − | 3.11926i | −1.64653 | − | 0.280118i | ||||
\(125\) | −10.4385 | − | 4.00459i | −0.933652 | − | 0.358181i | ||||
\(126\) | −0.0695310 | + | 0.823279i | −0.00619432 | + | 0.0733435i | ||||
\(127\) | −5.74713 | + | 5.74713i | −0.509976 | + | 0.509976i | −0.914519 | − | 0.404543i | \(-0.867430\pi\) |
0.404543 | + | 0.914519i | \(0.367430\pi\) | |||||||
\(128\) | 11.0980 | − | 2.19892i | 0.980930 | − | 0.194359i | ||||
\(129\) | − | 5.08283i | − | 0.447518i | ||||||
\(130\) | −14.4665 | − | 3.02846i | −1.26880 | − | 0.265614i | ||||
\(131\) | 8.12224i | 0.709644i | 0.934934 | + | 0.354822i | \(0.115458\pi\) | ||||
−0.934934 | + | 0.354822i | \(0.884542\pi\) | |||||||
\(132\) | −10.4077 | − | 14.6750i | −0.905877 | − | 1.27729i | ||||
\(133\) | −0.697742 | + | 0.697742i | −0.0605019 | + | 0.0605019i | ||||
\(134\) | 20.1785 | + | 1.70420i | 1.74316 | + | 0.147221i | ||||
\(135\) | 8.04104 | − | 6.28321i | 0.692062 | − | 0.540773i | ||||
\(136\) | 3.99175 | + | 1.03104i | 0.342290 | + | 0.0884112i | ||||
\(137\) | 4.96810 | + | 4.96810i | 0.424453 | + | 0.424453i | 0.886734 | − | 0.462281i | \(-0.152969\pi\) |
−0.462281 | + | 0.886734i | \(0.652969\pi\) | |||||||
\(138\) | −18.5546 | + | 15.6646i | −1.57947 | + | 1.33346i | ||||
\(139\) | 4.21496 | 0.357508 | 0.178754 | − | 0.983894i | \(-0.442793\pi\) | ||||
0.178754 | + | 0.983894i | \(0.442793\pi\) | |||||||
\(140\) | −2.09541 | − | 3.88368i | −0.177095 | − | 0.328231i | ||||
\(141\) | −2.96728 | −0.249890 | ||||||||
\(142\) | −10.0428 | + | 8.47856i | −0.842774 | + | 0.711505i | ||||
\(143\) | −15.6861 | − | 15.6861i | −1.31174 | − | 1.31174i | ||||
\(144\) | 0.783132 | − | 2.23501i | 0.0652610 | − | 0.186251i | ||||
\(145\) | −0.539375 | + | 4.39528i | −0.0447927 | + | 0.365008i | ||||
\(146\) | −9.05992 | − | 0.765167i | −0.749804 | − | 0.0633256i | ||||
\(147\) | 8.07622 | − | 8.07622i | 0.666116 | − | 0.666116i | ||||
\(148\) | 13.1564 | − | 9.33075i | 1.08145 | − | 0.766983i | ||||
\(149\) | − | 7.03834i | − | 0.576603i | −0.957540 | − | 0.288302i | \(-0.906909\pi\) | ||
0.957540 | − | 0.288302i | \(-0.0930906\pi\) | |||||||
\(150\) | 4.32328 | − | 12.6851i | 0.352995 | − | 1.03574i | ||||
\(151\) | 16.8075i | 1.36777i | 0.729589 | + | 0.683886i | \(0.239711\pi\) | ||||
−0.729589 | + | 0.683886i | \(0.760289\pi\) | |||||||
\(152\) | 2.43662 | − | 1.43628i | 0.197636 | − | 0.116497i | ||||
\(153\) | 0.610229 | − | 0.610229i | 0.0493341 | − | 0.0493341i | ||||
\(154\) | 0.557399 | − | 6.59986i | 0.0449165 | − | 0.531832i | ||||
\(155\) | 2.53274 | − | 20.6389i | 0.203435 | − | 1.65775i | ||||
\(156\) | 2.97135 | − | 17.4656i | 0.237899 | − | 1.39837i | ||||
\(157\) | 11.5208 | + | 11.5208i | 0.919458 | + | 0.919458i | 0.996990 | − | 0.0775322i | \(-0.0247040\pi\) |
−0.0775322 | + | 0.996990i | \(0.524704\pi\) | |||||||
\(158\) | 0.291127 | + | 0.344839i | 0.0231608 | + | 0.0274339i | ||||
\(159\) | 0.0120822 | 0.000958178 | ||||||||
\(160\) | 3.03142 | + | 12.2805i | 0.239655 | + | 0.970858i | ||||
\(161\) | −8.93967 | −0.704544 | ||||||||
\(162\) | 9.51127 | + | 11.2660i | 0.747276 | + | 0.885144i | ||||
\(163\) | 8.50009 | + | 8.50009i | 0.665778 | + | 0.665778i | 0.956736 | − | 0.290958i | \(-0.0939739\pi\) |
−0.290958 | + | 0.956736i | \(0.593974\pi\) | |||||||
\(164\) | −3.15824 | + | 18.5641i | −0.246617 | + | 1.44961i | ||||
\(165\) | 15.8496 | − | 12.3848i | 1.23389 | − | 0.964155i | ||||
\(166\) | 0.362506 | − | 4.29223i | 0.0281359 | − | 0.333142i | ||||
\(167\) | 11.7917 | − | 11.7917i | 0.912471 | − | 0.912471i | −0.0839953 | − | 0.996466i | \(-0.526768\pi\) |
0.996466 | + | 0.0839953i | \(0.0267681\pi\) | |||||||
\(168\) | 4.55690 | − | 2.68608i | 0.351572 | − | 0.207236i | ||||
\(169\) | − | 8.84515i | − | 0.680396i | ||||||
\(170\) | −0.944468 | + | 4.51158i | −0.0724374 | + | 0.346023i | ||||
\(171\) | − | 0.592060i | − | 0.0452759i | ||||||
\(172\) | −4.37508 | + | 3.10288i | −0.333597 | + | 0.236593i | ||||
\(173\) | −14.0451 | + | 14.0451i | −1.06783 | + | 1.06783i | −0.0703074 | + | 0.997525i | \(0.522398\pi\) |
−0.997525 | + | 0.0703074i | \(0.977602\pi\) | |||||||
\(174\) | −5.28921 | − | 0.446707i | −0.400974 | − | 0.0338647i | ||||
\(175\) | 4.22874 | − | 2.54165i | 0.319663 | − | 0.192131i | ||||
\(176\) | −6.27801 | + | 17.9170i | −0.473223 | + | 1.35055i | ||||
\(177\) | 4.05341 | + | 4.05341i | 0.304673 | + | 0.304673i | ||||
\(178\) | 8.79150 | − | 7.42215i | 0.658951 | − | 0.556314i | ||||
\(179\) | 8.86640 | 0.662706 | 0.331353 | − | 0.943507i | \(-0.392495\pi\) | ||||
0.331353 | + | 0.943507i | \(0.392495\pi\) | |||||||
\(180\) | 2.53674 | + | 0.758706i | 0.189078 | + | 0.0565506i | ||||
\(181\) | 5.73740 | 0.426457 | 0.213229 | − | 0.977002i | \(-0.431602\pi\) | ||||
0.213229 | + | 0.977002i | \(0.431602\pi\) | |||||||
\(182\) | 4.98375 | − | 4.20749i | 0.369420 | − | 0.311880i | ||||
\(183\) | 0.971329 | + | 0.971329i | 0.0718027 | + | 0.0718027i | ||||
\(184\) | 24.8103 | + | 6.40834i | 1.82904 | + | 0.472429i | ||||
\(185\) | 11.1032 | + | 14.2095i | 0.816325 | + | 1.04471i | ||||
\(186\) | 24.8365 | + | 2.09760i | 1.82110 | + | 0.153803i | ||||
\(187\) | −4.89194 | + | 4.89194i | −0.357734 | + | 0.357734i | ||||
\(188\) | 1.81142 | + | 2.55411i | 0.132111 | + | 0.186278i | ||||
\(189\) | 4.50326i | 0.327564i | ||||||||
\(190\) | 1.73045 | + | 2.64680i | 0.125540 | + | 0.192019i | ||||
\(191\) | − | 3.42146i | − | 0.247568i | −0.992309 | − | 0.123784i | \(-0.960497\pi\) | ||
0.992309 | − | 0.123784i | \(-0.0395030\pi\) | |||||||
\(192\) | −14.5723 | + | 4.18812i | −1.05166 | + | 0.302252i | ||||
\(193\) | 14.1458 | − | 14.1458i | 1.01824 | − | 1.01824i | 0.0184059 | − | 0.999831i | \(-0.494141\pi\) |
0.999831 | − | 0.0184059i | \(-0.00585912\pi\) | |||||||
\(194\) | 1.39563 | − | 16.5249i | 0.100200 | − | 1.18642i | ||||
\(195\) | 19.6602 | + | 2.41264i | 1.40790 | + | 0.172773i | ||||
\(196\) | −11.8819 | − | 2.02142i | −0.848707 | − | 0.144387i | ||||
\(197\) | −3.94287 | − | 3.94287i | −0.280918 | − | 0.280918i | 0.552557 | − | 0.833475i | \(-0.313652\pi\) |
−0.833475 | + | 0.552557i | \(0.813652\pi\) | |||||||
\(198\) | 2.56362 | + | 3.03660i | 0.182189 | + | 0.215801i | ||||
\(199\) | 22.6493 | 1.60557 | 0.802785 | − | 0.596269i | \(-0.203351\pi\) | ||||
0.802785 | + | 0.596269i | \(0.203351\pi\) | |||||||
\(200\) | −13.5580 | + | 4.02251i | −0.958696 | + | 0.284434i | ||||
\(201\) | −27.1387 | −1.91422 | ||||||||
\(202\) | 2.16845 | + | 2.56851i | 0.152571 | + | 0.180720i | ||||
\(203\) | −1.38179 | − | 1.38179i | −0.0969827 | − | 0.0969827i | ||||
\(204\) | −5.44689 | − | 0.926658i | −0.381359 | − | 0.0648790i | ||||
\(205\) | −20.8968 | − | 2.56439i | −1.45949 | − | 0.179105i | ||||
\(206\) | 0.535402 | − | 6.33940i | 0.0373032 | − | 0.441687i | ||||
\(207\) | 3.79282 | − | 3.79282i | 0.263619 | − | 0.263619i | ||||
\(208\) | −16.8475 | + | 8.10451i | −1.16817 | + | 0.561946i | ||||
\(209\) | 4.74628i | 0.328307i | ||||||||
\(210\) | 3.23624 | + | 4.94997i | 0.223322 | + | 0.341580i | ||||
\(211\) | − | 23.7055i | − | 1.63196i | −0.578083 | − | 0.815978i | \(-0.696199\pi\) | ||
0.578083 | − | 0.815978i | \(-0.303801\pi\) | |||||||
\(212\) | −0.00737572 | − | 0.0103998i | −0.000506567 | − | 0.000714261i | ||||
\(213\) | 12.4550 | − | 12.4550i | 0.853402 | − | 0.853402i | ||||
\(214\) | 22.6928 | + | 1.91655i | 1.55125 | + | 0.131013i | ||||
\(215\) | −3.69231 | − | 4.72529i | −0.251813 | − | 0.322262i | ||||
\(216\) | 3.22813 | − | 12.4979i | 0.219647 | − | 0.850377i | ||||
\(217\) | 6.48846 | + | 6.48846i | 0.440465 | + | 0.440465i | ||||
\(218\) | 10.9203 | − | 9.21939i | 0.739617 | − | 0.624416i | ||||
\(219\) | 12.1850 | 0.823384 | ||||||||
\(220\) | −20.3359 | − | 6.08221i | −1.37105 | − | 0.410062i | ||||
\(221\) | −6.81272 | −0.458273 | ||||||||
\(222\) | −16.5168 | + | 13.9442i | −1.10853 | + | 0.935871i | ||||
\(223\) | 12.4637 | + | 12.4637i | 0.834631 | + | 0.834631i | 0.988146 | − | 0.153515i | \(-0.0490594\pi\) |
−0.153515 | + | 0.988146i | \(0.549059\pi\) | |||||||
\(224\) | −5.09388 | − | 2.28262i | −0.340349 | − | 0.152514i | ||||
\(225\) | −0.715778 | + | 2.87246i | −0.0477186 | + | 0.191497i | ||||
\(226\) | 8.64842 | + | 0.730413i | 0.575284 | + | 0.0485863i | ||||
\(227\) | 0.871636 | − | 0.871636i | 0.0578525 | − | 0.0578525i | −0.677589 | − | 0.735441i | \(-0.736975\pi\) |
0.735441 | + | 0.677589i | \(0.236975\pi\) | |||||||
\(228\) | −3.09189 | + | 2.19282i | −0.204765 | + | 0.145223i | ||||
\(229\) | 10.1929i | 0.673563i | 0.941583 | + | 0.336782i | \(0.109338\pi\) | ||||
−0.941583 | + | 0.336782i | \(0.890662\pi\) | |||||||
\(230\) | −5.87024 | + | 28.0413i | −0.387072 | + | 1.84899i | ||||
\(231\) | 8.87635i | 0.584021i | ||||||||
\(232\) | 2.84436 | + | 4.82542i | 0.186742 | + | 0.316804i | ||||
\(233\) | −5.24568 | + | 5.24568i | −0.343656 | + | 0.343656i | −0.857740 | − | 0.514084i | \(-0.828132\pi\) |
0.514084 | + | 0.857740i | \(0.328132\pi\) | |||||||
\(234\) | −0.329341 | + | 3.89955i | −0.0215297 | + | 0.254922i | ||||
\(235\) | −2.75856 | + | 2.15552i | −0.179948 | + | 0.140610i | ||||
\(236\) | 1.01454 | − | 5.96345i | 0.0660408 | − | 0.388188i | ||||
\(237\) | −0.427665 | − | 0.427665i | −0.0277798 | − | 0.0277798i | ||||
\(238\) | −1.31216 | − | 1.55425i | −0.0850550 | − | 0.100747i | ||||
\(239\) | −0.785993 | −0.0508417 | −0.0254208 | − | 0.999677i | \(-0.508093\pi\) | ||||
−0.0254208 | + | 0.999677i | \(0.508093\pi\) | |||||||
\(240\) | −5.43321 | − | 16.0576i | −0.350712 | − | 1.03651i | ||||
\(241\) | 18.3499 | 1.18202 | 0.591009 | − | 0.806665i | \(-0.298730\pi\) | ||||
0.591009 | + | 0.806665i | \(0.298730\pi\) | |||||||
\(242\) | −10.5162 | − | 12.4563i | −0.676004 | − | 0.800723i | ||||
\(243\) | −4.29096 | − | 4.29096i | −0.275265 | − | 0.275265i | ||||
\(244\) | 0.243117 | − | 1.42904i | 0.0155639 | − | 0.0914848i | ||||
\(245\) | 1.64133 | − | 13.3749i | 0.104861 | − | 0.854492i | ||||
\(246\) | 2.12381 | − | 25.1468i | 0.135409 | − | 1.60330i | ||||
\(247\) | −3.30493 | + | 3.30493i | −0.210288 | + | 0.210288i | ||||
\(248\) | −13.3563 | − | 22.6587i | −0.848123 | − | 1.43883i | ||||
\(249\) | 5.77276i | 0.365834i | ||||||||
\(250\) | −5.19565 | − | 14.9334i | −0.328602 | − | 0.944469i | ||||
\(251\) | 8.10035i | 0.511290i | 0.966771 | + | 0.255645i | \(0.0822878\pi\) | ||||
−0.966771 | + | 0.255645i | \(0.917712\pi\) | |||||||
\(252\) | −0.953075 | + | 0.675938i | −0.0600381 | + | 0.0425801i | ||||
\(253\) | −30.4053 | + | 30.4053i | −1.91156 | + | 1.91156i | ||||
\(254\) | −11.4535 | − | 0.967319i | −0.718656 | − | 0.0606950i | ||||
\(255\) | 0.752417 | − | 6.13132i | 0.0471182 | − | 0.383958i | ||||
\(256\) | 12.5008 | + | 9.98649i | 0.781300 | + | 0.624156i | ||||
\(257\) | 8.11783 | + | 8.11783i | 0.506376 | + | 0.506376i | 0.913412 | − | 0.407036i | \(-0.133438\pi\) |
−0.407036 | + | 0.913412i | \(0.633438\pi\) | |||||||
\(258\) | 5.49255 | − | 4.63704i | 0.341951 | − | 0.288690i | ||||
\(259\) | −7.95784 | −0.494476 | ||||||||
\(260\) | −9.92516 | − | 18.3955i | −0.615532 | − | 1.14084i | ||||
\(261\) | 1.17250 | 0.0725759 | ||||||||
\(262\) | −8.77697 | + | 7.40989i | −0.542243 | + | 0.457784i | ||||
\(263\) | −7.91763 | − | 7.91763i | −0.488222 | − | 0.488222i | 0.419523 | − | 0.907745i | \(-0.362197\pi\) |
−0.907745 | + | 0.419523i | \(0.862197\pi\) | |||||||
\(264\) | 6.36295 | − | 24.6346i | 0.391613 | − | 1.51615i | ||||
\(265\) | 0.0112323 | − | 0.00877682i | 0.000689993 | − | 0.000539156i | ||||
\(266\) | −1.39053 | − | 0.117439i | −0.0852591 | − | 0.00720066i | ||||
\(267\) | −10.9031 | + | 10.9031i | −0.667261 | + | 0.667261i | ||||
\(268\) | 16.5672 | + | 23.3598i | 1.01200 | + | 1.42693i | ||||
\(269\) | − | 17.7957i | − | 1.08502i | −0.840049 | − | 0.542510i | \(-0.817474\pi\) | ||
0.840049 | − | 0.542510i | \(-0.182526\pi\) | |||||||
\(270\) | 14.1255 | + | 2.95707i | 0.859650 | + | 0.179962i | ||||
\(271\) | − | 16.0644i | − | 0.975843i | −0.872888 | − | 0.487921i | \(-0.837755\pi\) | ||
0.872888 | − | 0.487921i | \(-0.162245\pi\) | |||||||
\(272\) | 2.52750 | + | 5.25414i | 0.153252 | + | 0.318579i | ||||
\(273\) | −6.18079 | + | 6.18079i | −0.374079 | + | 0.374079i | ||||
\(274\) | −0.836197 | + | 9.90095i | −0.0505165 | + | 0.598138i | ||||
\(275\) | 5.73807 | − | 23.0272i | 0.346019 | − | 1.38859i | ||||
\(276\) | −33.8546 | − | 5.75954i | −2.03781 | − | 0.346684i | ||||
\(277\) | −9.82279 | − | 9.82279i | −0.590195 | − | 0.590195i | 0.347489 | − | 0.937684i | \(-0.387034\pi\) |
−0.937684 | + | 0.347489i | \(0.887034\pi\) | |||||||
\(278\) | 3.84529 | + | 4.55472i | 0.230625 | + | 0.273174i | ||||
\(279\) | −5.50569 | −0.329617 | ||||||||
\(280\) | 2.28511 | − | 5.80739i | 0.136561 | − | 0.347058i | ||||
\(281\) | 10.4171 | 0.621431 | 0.310715 | − | 0.950503i | \(-0.399431\pi\) | ||||
0.310715 | + | 0.950503i | \(0.399431\pi\) | |||||||
\(282\) | −2.70704 | − | 3.20648i | −0.161202 | − | 0.190943i | ||||
\(283\) | −9.74230 | − | 9.74230i | −0.579120 | − | 0.579120i | 0.355541 | − | 0.934661i | \(-0.384297\pi\) |
−0.934661 | + | 0.355541i | \(0.884297\pi\) | |||||||
\(284\) | −18.3240 | − | 3.11739i | −1.08733 | − | 0.184983i | ||||
\(285\) | −2.60937 | − | 3.33938i | −0.154566 | − | 0.197808i | ||||
\(286\) | 2.64018 | − | 31.2609i | 0.156117 | − | 1.84850i | ||||
\(287\) | 6.56954 | − | 6.56954i | 0.387787 | − | 0.387787i | ||||
\(288\) | 3.12962 | − | 1.19273i | 0.184414 | − | 0.0702822i | ||||
\(289\) | − | 14.8754i | − | 0.875021i | ||||||
\(290\) | −5.24165 | + | 3.42694i | −0.307800 | + | 0.201237i | ||||
\(291\) | 22.2248i | 1.30284i | ||||||||
\(292\) | −7.43848 | − | 10.4883i | −0.435304 | − | 0.613781i | ||||
\(293\) | −17.9213 | + | 17.9213i | −1.04697 | + | 1.04697i | −0.0481339 | + | 0.998841i | \(0.515327\pi\) |
−0.998841 | + | 0.0481339i | \(0.984673\pi\) | |||||||
\(294\) | 16.0951 | + | 1.35934i | 0.938688 | + | 0.0792781i | ||||
\(295\) | 6.71278 | + | 0.823773i | 0.390833 | + | 0.0479619i | ||||
\(296\) | 22.0854 | + | 5.70452i | 1.28369 | + | 0.331569i | ||||
\(297\) | 15.3164 | + | 15.3164i | 0.888745 | + | 0.888745i | ||||
\(298\) | 7.60569 | − | 6.42105i | 0.440586 | − | 0.371961i | ||||
\(299\) | −42.3437 | −2.44880 | ||||||||
\(300\) | 17.6518 | − | 6.90080i | 1.01913 | − | 0.398418i | ||||
\(301\) | 2.64633 | 0.152532 | ||||||||
\(302\) | −18.1623 | + | 15.3334i | −1.04512 | + | 0.882337i | ||||
\(303\) | −3.18544 | − | 3.18544i | −0.182999 | − | 0.182999i | ||||
\(304\) | 3.77497 | + | 1.32272i | 0.216509 | + | 0.0758634i | ||||
\(305\) | 1.60860 | + | 0.197403i | 0.0921083 | + | 0.0113033i | ||||
\(306\) | 1.21613 | + | 0.102710i | 0.0695215 | + | 0.00587152i | ||||
\(307\) | −4.46875 | + | 4.46875i | −0.255045 | + | 0.255045i | −0.823035 | − | 0.567990i | \(-0.807721\pi\) |
0.567990 | + | 0.823035i | \(0.307721\pi\) | |||||||
\(308\) | 7.64038 | − | 5.41869i | 0.435351 | − | 0.308759i | ||||
\(309\) | 8.52605i | 0.485030i | ||||||||
\(310\) | 24.6132 | − | 16.0919i | 1.39793 | − | 0.913956i | ||||
\(311\) | − | 0.594436i | − | 0.0337074i | −0.999858 | − | 0.0168537i | \(-0.994635\pi\) | ||
0.999858 | − | 0.0168537i | \(-0.00536495\pi\) | |||||||
\(312\) | 21.5842 | − | 12.7229i | 1.22197 | − | 0.720294i | ||||
\(313\) | 14.2529 | − | 14.2529i | 0.805624 | − | 0.805624i | −0.178344 | − | 0.983968i | \(-0.557074\pi\) |
0.983968 | + | 0.178344i | \(0.0570740\pi\) | |||||||
\(314\) | −1.93910 | + | 22.9598i | −0.109430 | + | 1.29570i | ||||
\(315\) | −0.804339 | − | 1.02937i | −0.0453194 | − | 0.0579982i | ||||
\(316\) | −0.107041 | + | 0.629190i | −0.00602155 | + | 0.0353947i | ||||
\(317\) | −8.72134 | − | 8.72134i | −0.489840 | − | 0.489840i | 0.418416 | − | 0.908256i | \(-0.362585\pi\) |
−0.908256 | + | 0.418416i | \(0.862585\pi\) | |||||||
\(318\) | 0.0110225 | + | 0.0130561i | 0.000618112 | + | 0.000732150i | ||||
\(319\) | −9.39940 | −0.526265 | ||||||||
\(320\) | −10.5049 | + | 14.4792i | −0.587240 | + | 0.809413i | ||||
\(321\) | −30.5203 | −1.70348 | ||||||||
\(322\) | −8.15562 | − | 9.66028i | −0.454495 | − | 0.538347i | ||||
\(323\) | 1.03069 | + | 1.03069i | 0.0573491 | + | 0.0573491i | ||||
\(324\) | −3.49710 | + | 20.5559i | −0.194283 | + | 1.14200i | ||||
\(325\) | 20.0299 | − | 12.0388i | 1.11106 | − | 0.667792i | ||||
\(326\) | −1.43068 | + | 16.9399i | −0.0792379 | + | 0.938213i | ||||
\(327\) | −13.5433 | + | 13.5433i | −0.748944 | + | 0.748944i | ||||
\(328\) | −22.9418 | + | 13.5231i | −1.26675 | + | 0.746690i | ||||
\(329\) | − | 1.54489i | − | 0.0851725i | ||||||
\(330\) | 27.8427 | + | 5.82867i | 1.53269 | + | 0.320858i | ||||
\(331\) | 12.5175i | 0.688023i | 0.938966 | + | 0.344011i | \(0.111786\pi\) | ||||
−0.938966 | + | 0.344011i | \(0.888214\pi\) | |||||||
\(332\) | 4.96894 | − | 3.52406i | 0.272706 | − | 0.193408i | ||||
\(333\) | 3.37626 | − | 3.37626i | 0.185018 | − | 0.185018i | ||||
\(334\) | 23.4998 | + | 1.98470i | 1.28585 | + | 0.108598i | ||||
\(335\) | −25.2297 | + | 19.7143i | −1.37845 | + | 1.07711i | ||||
\(336\) | 7.05985 | + | 2.47372i | 0.385146 | + | 0.134953i | ||||
\(337\) | −10.1313 | − | 10.1313i | −0.551887 | − | 0.551887i | 0.375098 | − | 0.926985i | \(-0.377609\pi\) |
−0.926985 | + | 0.375098i | \(0.877609\pi\) | |||||||
\(338\) | 9.55815 | − | 8.06939i | 0.519895 | − | 0.438917i | ||||
\(339\) | −11.6315 | −0.631738 | ||||||||
\(340\) | −5.73689 | + | 3.09530i | −0.311127 | + | 0.167866i | ||||
\(341\) | 44.1367 | 2.39014 | ||||||||
\(342\) | 0.639785 | − | 0.540133i | 0.0345956 | − | 0.0292071i | ||||
\(343\) | 9.08901 | + | 9.08901i | 0.490760 | + | 0.490760i | ||||
\(344\) | −7.34437 | − | 1.89700i | −0.395982 | − | 0.102279i | ||||
\(345\) | 4.67657 | − | 38.1085i | 0.251778 | − | 2.05169i | ||||
\(346\) | −27.9906 | − | 2.36398i | −1.50479 | − | 0.127089i | ||||
\(347\) | −0.483917 | + | 0.483917i | −0.0259781 | + | 0.0259781i | −0.719976 | − | 0.693998i | \(-0.755847\pi\) |
0.693998 | + | 0.719976i | \(0.255847\pi\) | |||||||
\(348\) | −4.34261 | − | 6.12309i | −0.232788 | − | 0.328232i | ||||
\(349\) | 12.0418i | 0.644582i | 0.946641 | + | 0.322291i | \(0.104453\pi\) | ||||
−0.946641 | + | 0.322291i | \(0.895547\pi\) | |||||||
\(350\) | 6.60439 | + | 2.25088i | 0.353019 | + | 0.120314i | ||||
\(351\) | 21.3302i | 1.13852i | ||||||||
\(352\) | −25.0887 | + | 9.56157i | −1.33723 | + | 0.509633i | ||||
\(353\) | −19.3284 | + | 19.3284i | −1.02875 | + | 1.02875i | −0.0291749 | + | 0.999574i | \(0.509288\pi\) |
−0.999574 | + | 0.0291749i | \(0.990712\pi\) | |||||||
\(354\) | −0.682242 | + | 8.07806i | −0.0362608 | + | 0.429344i | ||||
\(355\) | 2.53122 | − | 20.6265i | 0.134343 | − | 1.09474i | ||||
\(356\) | 16.0409 | + | 2.72897i | 0.850166 | + | 0.144635i | ||||
\(357\) | 1.92757 | + | 1.92757i | 0.102018 | + | 0.102018i | ||||
\(358\) | 8.08878 | + | 9.58112i | 0.427505 | + | 0.506378i | ||||
\(359\) | −23.7453 | −1.25323 | −0.626614 | − | 0.779330i | \(-0.715560\pi\) | ||||
−0.626614 | + | 0.779330i | \(0.715560\pi\) | |||||||
\(360\) | 1.49439 | + | 3.43339i | 0.0787614 | + | 0.180956i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | 5.23420 | + | 6.19988i | 0.275104 | + | 0.325859i | ||||
\(363\) | 15.4482 | + | 15.4482i | 0.810820 | + | 0.810820i | ||||
\(364\) | 9.09331 | + | 1.54701i | 0.476619 | + | 0.0810852i | ||||
\(365\) | 11.3278 | − | 8.85150i | 0.592926 | − | 0.463308i | ||||
\(366\) | −0.163488 | + | 1.93577i | −0.00854563 | + | 0.101184i | ||||
\(367\) | −13.2536 | + | 13.2536i | −0.691835 | + | 0.691835i | −0.962635 | − | 0.270801i | \(-0.912712\pi\) |
0.270801 | + | 0.962635i | \(0.412712\pi\) | |||||||
\(368\) | 15.7094 | + | 32.6565i | 0.818910 | + | 1.70234i | ||||
\(369\) | 5.57449i | 0.290196i | ||||||||
\(370\) | −5.22552 | + | 24.9615i | −0.271662 | + | 1.29769i | ||||
\(371\) | 0.00629047i | 0.000326585i | ||||||||
\(372\) | 20.3915 | + | 28.7522i | 1.05725 | + | 1.49073i | ||||
\(373\) | −8.99990 | + | 8.99990i | −0.465997 | + | 0.465997i | −0.900615 | − | 0.434618i | \(-0.856883\pi\) |
0.434618 | + | 0.900615i | \(0.356883\pi\) | |||||||
\(374\) | −9.74916 | − | 0.823378i | −0.504117 | − | 0.0425758i | ||||
\(375\) | 8.62253 | + | 19.3561i | 0.445266 | + | 0.999546i | ||||
\(376\) | −1.10744 | + | 4.28754i | −0.0571120 | + | 0.221113i | ||||
\(377\) | −6.54500 | − | 6.54500i | −0.337085 | − | 0.337085i | ||||
\(378\) | −4.86627 | + | 4.10831i | −0.250294 | + | 0.211309i | ||||
\(379\) | 1.33948 | 0.0688044 | 0.0344022 | − | 0.999408i | \(-0.489047\pi\) | ||||
0.0344022 | + | 0.999408i | \(0.489047\pi\) | |||||||
\(380\) | −1.28147 | + | 4.28460i | −0.0657380 | + | 0.219796i | ||||
\(381\) | 15.4042 | 0.789179 | ||||||||
\(382\) | 3.69726 | − | 3.12138i | 0.189168 | − | 0.159704i | ||||
\(383\) | 2.40611 | + | 2.40611i | 0.122946 | + | 0.122946i | 0.765903 | − | 0.642956i | \(-0.222292\pi\) |
−0.642956 | + | 0.765903i | \(0.722292\pi\) | |||||||
\(384\) | −17.8200 | − | 11.9261i | −0.909371 | − | 0.608603i | ||||
\(385\) | 6.44803 | + | 8.25197i | 0.328622 | + | 0.420559i | ||||
\(386\) | 28.1912 | + | 2.38092i | 1.43490 | + | 0.121186i | ||||
\(387\) | −1.12275 | + | 1.12275i | −0.0570727 | + | 0.0570727i | ||||
\(388\) | 19.1302 | − | 13.5674i | 0.971186 | − | 0.688783i | ||||
\(389\) | 26.3685i | 1.33693i | 0.743742 | + | 0.668467i | \(0.233049\pi\) | ||||
−0.743742 | + | 0.668467i | \(0.766951\pi\) | |||||||
\(390\) | 15.3288 | + | 23.4461i | 0.776205 | + | 1.18724i | ||||
\(391\) | 13.2055i | 0.667830i | ||||||||
\(392\) | −8.65545 | − | 14.6838i | −0.437166 | − | 0.741645i | ||||
\(393\) | 10.8851 | − | 10.8851i | 0.549081 | − | 0.549081i | ||||
\(394\) | 0.663637 | − | 7.85777i | 0.0334336 | − | 0.395869i | ||||
\(395\) | −0.708250 | − | 0.0869143i | −0.0356359 | − | 0.00437313i | ||||
\(396\) | −0.942591 | + | 5.54055i | −0.0473670 | + | 0.278423i | ||||
\(397\) | 15.2631 | + | 15.2631i | 0.766032 | + | 0.766032i | 0.977405 | − | 0.211373i | \(-0.0677935\pi\) |
−0.211373 | + | 0.977405i | \(0.567793\pi\) | |||||||
\(398\) | 20.6629 | + | 24.4751i | 1.03574 | + | 1.22683i | ||||
\(399\) | 1.87017 | 0.0936257 | ||||||||
\(400\) | −16.7157 | − | 10.9812i | −0.835783 | − | 0.549059i | ||||
\(401\) | −13.0632 | −0.652343 | −0.326171 | − | 0.945311i | \(-0.605759\pi\) | ||||
−0.326171 | + | 0.945311i | \(0.605759\pi\) | |||||||
\(402\) | −24.7585 | − | 29.3263i | −1.23484 | − | 1.46267i | ||||
\(403\) | 30.7333 | + | 30.7333i | 1.53094 | + | 1.53094i | ||||
\(404\) | −0.797293 | + | 4.68649i | −0.0396668 | + | 0.233161i | ||||
\(405\) | −23.1389 | − | 2.83953i | −1.14978 | − | 0.141097i | ||||
\(406\) | 0.232574 | − | 2.75378i | 0.0115424 | − | 0.136668i | ||||
\(407\) | −27.0659 | + | 27.0659i | −1.34161 | + | 1.34161i | ||||
\(408\) | −3.96782 | − | 6.73135i | −0.196437 | − | 0.333251i | ||||
\(409\) | − | 30.5100i | − | 1.50862i | −0.656517 | − | 0.754312i | \(-0.727971\pi\) | ||
0.656517 | − | 0.754312i | \(-0.272029\pi\) | |||||||
\(410\) | −16.2929 | − | 24.9207i | −0.804650 | − | 1.23075i | ||||
\(411\) | − | 13.3161i | − | 0.656834i | ||||||
\(412\) | 7.33885 | − | 5.20485i | 0.361559 | − | 0.256424i | ||||
\(413\) | −2.11037 | + | 2.11037i | −0.103844 | + | 0.103844i | ||||
\(414\) | 7.55872 | + | 0.638381i | 0.371491 | + | 0.0313747i | ||||
\(415\) | 4.19349 | + | 5.36669i | 0.205850 | + | 0.263440i | ||||
\(416\) | −24.1277 | − | 10.8119i | −1.18296 | − | 0.530097i | ||||
\(417\) | −5.64872 | − | 5.64872i | −0.276619 | − | 0.276619i | ||||
\(418\) | −5.12887 | + | 4.33001i | −0.250861 | + | 0.211788i | ||||
\(419\) | −9.78783 | −0.478167 | −0.239083 | − | 0.970999i | \(-0.576847\pi\) | ||||
−0.239083 | + | 0.970999i | \(0.576847\pi\) | |||||||
\(420\) | −2.39657 | + | 8.01295i | −0.116941 | + | 0.390992i | ||||
\(421\) | 26.7931 | 1.30582 | 0.652909 | − | 0.757437i | \(-0.273549\pi\) | ||||
0.652909 | + | 0.757437i | \(0.273549\pi\) | |||||||
\(422\) | 25.6164 | − | 21.6264i | 1.24699 | − | 1.05276i | ||||
\(423\) | 0.655447 | + | 0.655447i | 0.0318689 | + | 0.0318689i | ||||
\(424\) | 0.00450928 | − | 0.0174580i | 0.000218990 | − | 0.000847834i | ||||
\(425\) | −3.75447 | − | 6.24660i | −0.182118 | − | 0.303005i | ||||
\(426\) | 24.8216 | + | 2.09634i | 1.20261 | + | 0.101568i | ||||
\(427\) | −0.505714 | + | 0.505714i | −0.0244732 | + | 0.0244732i | ||||
\(428\) | 18.6315 | + | 26.2705i | 0.900589 | + | 1.26983i | ||||
\(429\) | 42.0438i | 2.02989i | ||||||||
\(430\) | 1.73771 | − | 8.30080i | 0.0838000 | − | 0.400300i | ||||
\(431\) | − | 2.45196i | − | 0.118107i | −0.998255 | − | 0.0590534i | \(-0.981192\pi\) | ||
0.998255 | − | 0.0590534i | \(-0.0188082\pi\) | |||||||
\(432\) | 16.4504 | − | 7.91346i | 0.791470 | − | 0.380737i | ||||
\(433\) | 20.7659 | − | 20.7659i | 0.997948 | − | 0.997948i | −0.00205006 | − | 0.999998i | \(-0.500653\pi\) |
0.999998 | + | 0.00205006i | \(0.000652555\pi\) | |||||||
\(434\) | −1.09209 | + | 12.9309i | −0.0524222 | + | 0.620702i | ||||
\(435\) | 6.61323 | − | 5.16753i | 0.317080 | − | 0.247764i | ||||
\(436\) | 19.9251 | + | 3.38978i | 0.954240 | + | 0.162341i | ||||
\(437\) | 6.40614 | + | 6.40614i | 0.306447 | + | 0.306447i | ||||
\(438\) | 11.1163 | + | 13.1672i | 0.531157 | + | 0.629153i | ||||
\(439\) | −24.9711 | −1.19180 | −0.595902 | − | 0.803057i | \(-0.703205\pi\) | ||||
−0.595902 | + | 0.803057i | \(0.703205\pi\) | |||||||
\(440\) | −11.9799 | − | 27.5239i | −0.571118 | − | 1.31215i | ||||
\(441\) | −3.56794 | −0.169902 | ||||||||
\(442\) | −6.21521 | − | 7.36188i | −0.295628 | − | 0.350169i | ||||
\(443\) | −14.4843 | − | 14.4843i | −0.688170 | − | 0.688170i | 0.273657 | − | 0.961827i | \(-0.411767\pi\) |
−0.961827 | + | 0.273657i | \(0.911767\pi\) | |||||||
\(444\) | −30.1364 | − | 5.12698i | −1.43021 | − | 0.243316i | ||||
\(445\) | −2.21584 | + | 18.0565i | −0.105041 | + | 0.855960i | ||||
\(446\) | −2.09781 | + | 24.8390i | −0.0993340 | + | 1.17616i | ||||
\(447\) | −9.43250 | + | 9.43250i | −0.446142 | + | 0.446142i | ||||
\(448\) | −2.18051 | − | 7.58693i | −0.103019 | − | 0.358449i | ||||
\(449\) | − | 33.6613i | − | 1.58857i | −0.607543 | − | 0.794286i | \(-0.707845\pi\) | ||
0.607543 | − | 0.794286i | \(-0.292155\pi\) | |||||||
\(450\) | −3.75701 | + | 1.84706i | −0.177107 | + | 0.0870711i | ||||
\(451\) | − | 44.6882i | − | 2.10428i | ||||||
\(452\) | 7.10063 | + | 10.0119i | 0.333985 | + | 0.470921i | ||||
\(453\) | 22.5247 | − | 22.5247i | 1.05830 | − | 1.05830i | ||||
\(454\) | 1.73709 | + | 0.146708i | 0.0815256 | + | 0.00688535i | ||||
\(455\) | −1.25612 | + | 10.2359i | −0.0588878 | + | 0.479867i | ||||
\(456\) | −5.19030 | − | 1.34062i | −0.243058 | − | 0.0627803i | ||||
\(457\) | 7.29974 | + | 7.29974i | 0.341468 | + | 0.341468i | 0.856919 | − | 0.515451i | \(-0.172376\pi\) |
−0.515451 | + | 0.856919i | \(0.672376\pi\) | |||||||
\(458\) | −11.0145 | + | 9.29890i | −0.514674 | + | 0.434509i | ||||
\(459\) | 6.65212 | 0.310495 | ||||||||
\(460\) | −35.6570 | + | 19.2385i | −1.66252 | + | 0.896999i | ||||
\(461\) | −0.951158 | −0.0442999 | −0.0221499 | − | 0.999755i | \(-0.507051\pi\) | ||||
−0.0221499 | + | 0.999755i | \(0.507051\pi\) | |||||||
\(462\) | −9.59187 | + | 8.09786i | −0.446254 | + | 0.376747i | ||||
\(463\) | −13.1374 | − | 13.1374i | −0.610549 | − | 0.610549i | 0.332540 | − | 0.943089i | \(-0.392094\pi\) |
−0.943089 | + | 0.332540i | \(0.892094\pi\) | |||||||
\(464\) | −2.61949 | + | 7.47585i | −0.121607 | + | 0.347058i | ||||
\(465\) | −31.0537 | + | 24.2651i | −1.44008 | + | 1.12527i | ||||
\(466\) | −10.4541 | − | 0.882918i | −0.484279 | − | 0.0409004i | ||||
\(467\) | 19.9319 | − | 19.9319i | 0.922339 | − | 0.922339i | −0.0748550 | − | 0.997194i | \(-0.523849\pi\) |
0.997194 | + | 0.0748550i | \(0.0238494\pi\) | |||||||
\(468\) | −4.51435 | + | 3.20165i | −0.208676 | + | 0.147997i | ||||
\(469\) | − | 14.1295i | − | 0.652441i | ||||||
\(470\) | −4.84589 | − | 1.01445i | −0.223524 | − | 0.0467932i | ||||
\(471\) | − | 30.8794i | − | 1.42285i | ||||||
\(472\) | 7.36972 | − | 4.34411i | 0.339219 | − | 0.199954i | ||||
\(473\) | 9.00060 | − | 9.00060i | 0.413848 | − | 0.413848i | ||||
\(474\) | 0.0719817 | − | 0.852296i | 0.00330623 | − | 0.0391473i | ||||
\(475\) | −4.85164 | − | 1.20896i | −0.222608 | − | 0.0554710i | ||||
\(476\) | 0.482456 | − | 2.83587i | 0.0221133 | − | 0.129982i | ||||
\(477\) | −0.00266885 | − | 0.00266885i | −0.000122198 | − | 0.000122198i | ||||
\(478\) | −0.717058 | − | 0.849352i | −0.0327975 | − | 0.0388484i | ||||
\(479\) | −29.5471 | −1.35004 | −0.675021 | − | 0.737799i | \(-0.735865\pi\) | ||||
−0.675021 | + | 0.737799i | \(0.735865\pi\) | |||||||
\(480\) | 12.3952 | − | 20.5204i | 0.565763 | − | 0.936625i | ||||
\(481\) | −37.6932 | −1.71866 | ||||||||
\(482\) | 16.7405 | + | 19.8290i | 0.762509 | + | 0.903188i | ||||
\(483\) | 11.9806 | + | 11.9806i | 0.545135 | + | 0.545135i | ||||
\(484\) | 3.86657 | − | 22.7277i | 0.175753 | − | 1.03308i | ||||
\(485\) | 16.1447 | + | 20.6615i | 0.733094 | + | 0.938189i | ||||
\(486\) | 0.722225 | − | 8.55147i | 0.0327608 | − | 0.387902i | ||||
\(487\) | 28.7952 | − | 28.7952i | 1.30483 | − | 1.30483i | 0.379742 | − | 0.925092i | \(-0.376013\pi\) |
0.925092 | − | 0.379742i | \(-0.123987\pi\) | |||||||
\(488\) | 1.76603 | − | 1.04099i | 0.0799443 | − | 0.0471235i | ||||
\(489\) | − | 22.7830i | − | 1.03028i | ||||||
\(490\) | 15.9504 | − | 10.4282i | 0.720567 | − | 0.471100i | ||||
\(491\) | 2.85127i | 0.128676i | 0.997928 | + | 0.0643380i | \(0.0204936\pi\) | ||||
−0.997928 | + | 0.0643380i | \(0.979506\pi\) | |||||||
\(492\) | 29.1114 | − | 20.6463i | 1.31244 | − | 0.930809i | ||||
\(493\) | −2.04115 | + | 2.04115i | −0.0919288 | + | 0.0919288i | ||||
\(494\) | −6.58642 | − | 0.556264i | −0.296337 | − | 0.0250275i | ||||
\(495\) | −6.23674 | − | 0.765354i | −0.280321 | − | 0.0344001i | ||||
\(496\) | 12.3003 | − | 35.1043i | 0.552300 | − | 1.57623i | ||||
\(497\) | 6.48457 | + | 6.48457i | 0.290873 | + | 0.290873i | ||||
\(498\) | −6.23810 | + | 5.26647i | −0.279536 | + | 0.235996i | ||||
\(499\) | −12.2247 | −0.547252 | −0.273626 | − | 0.961836i | \(-0.588223\pi\) | ||||
−0.273626 | + | 0.961836i | \(0.588223\pi\) | |||||||
\(500\) | 11.3972 | − | 19.2381i | 0.509696 | − | 0.860354i | ||||
\(501\) | −31.6056 | −1.41203 | ||||||||
\(502\) | −8.75331 | + | 7.38992i | −0.390680 | + | 0.329828i | ||||
\(503\) | 22.0965 | + | 22.0965i | 0.985234 | + | 0.985234i | 0.999893 | − | 0.0146587i | \(-0.00466618\pi\) |
−0.0146587 | + | 0.999893i | \(0.504666\pi\) | |||||||
\(504\) | −1.59991 | − | 0.413247i | −0.0712657 | − | 0.0184075i | ||||
\(505\) | −5.27536 | − | 0.647377i | −0.234751 | − | 0.0288079i | ||||
\(506\) | −60.5949 | − | 5.11761i | −2.69377 | − | 0.227506i | ||||
\(507\) | −11.8539 | + | 11.8539i | −0.526451 | + | 0.526451i | ||||
\(508\) | −9.40368 | − | 13.2592i | −0.417221 | − | 0.588283i | ||||
\(509\) | 5.44703i | 0.241435i | 0.992687 | + | 0.120718i | \(0.0385196\pi\) | ||||
−0.992687 | + | 0.120718i | \(0.961480\pi\) | |||||||
\(510\) | 7.31198 | − | 4.78051i | 0.323780 | − | 0.211684i | ||||
\(511\) | 6.34399i | 0.280642i | ||||||||
\(512\) | 0.612936 | + | 22.6191i | 0.0270882 | + | 0.999633i | ||||
\(513\) | 3.22703 | − | 3.22703i | 0.142477 | − | 0.142477i | ||||
\(514\) | −1.36634 | + | 16.1781i | −0.0602666 | + | 0.713584i | ||||
\(515\) | 6.19356 | + | 7.92631i | 0.272921 | + | 0.349275i | ||||
\(516\) | 10.0217 | + | 1.70495i | 0.441179 | + | 0.0750560i | ||||
\(517\) | −5.25443 | − | 5.25443i | −0.231089 | − | 0.231089i | ||||
\(518\) | −7.25990 | − | 8.59931i | −0.318982 | − | 0.377832i | ||||
\(519\) | 37.6455 | 1.65245 | ||||||||
\(520\) | 10.8237 | − | 27.5074i | 0.474649 | − | 1.20628i | ||||
\(521\) | −14.5598 | −0.637877 | −0.318938 | − | 0.947775i | \(-0.603326\pi\) | ||||
−0.318938 | + | 0.947775i | \(0.603326\pi\) | |||||||
\(522\) | 1.06967 | + | 1.26701i | 0.0468180 | + | 0.0554557i | ||||
\(523\) | −1.82937 | − | 1.82937i | −0.0799929 | − | 0.0799929i | 0.665978 | − | 0.745971i | \(-0.268014\pi\) |
−0.745971 | + | 0.665978i | \(0.768014\pi\) | |||||||
\(524\) | −16.0144 | − | 2.72446i | −0.699592 | − | 0.119019i | ||||
\(525\) | −9.07340 | − | 2.26097i | −0.395996 | − | 0.0986768i | ||||
\(526\) | 1.33264 | − | 15.7791i | 0.0581060 | − | 0.688001i | ||||
\(527\) | 9.58461 | − | 9.58461i | 0.417512 | − | 0.417512i | ||||
\(528\) | 32.4253 | − | 15.5982i | 1.41113 | − | 0.678823i | ||||
\(529\) | 59.0772i | 2.56857i | ||||||||
\(530\) | 0.0197315 | + | 0.00413064i | 0.000857080 | + | 0.000179424i | ||||
\(531\) | − | 1.79072i | − | 0.0777108i | ||||||
\(532\) | −1.14167 | − | 1.60976i | −0.0494978 | − | 0.0697921i | ||||
\(533\) | 31.1173 | − | 31.1173i | 1.34784 | − | 1.34784i | ||||
\(534\) | −21.7289 | − | 1.83514i | −0.940301 | − | 0.0794143i | ||||
\(535\) | −28.3734 | + | 22.1708i | −1.22669 | + | 0.958526i | ||||
\(536\) | −10.1287 | + | 39.2137i | −0.437491 | + | 1.69378i | ||||
\(537\) | −11.8824 | − | 11.8824i | −0.512763 | − | 0.512763i | ||||
\(538\) | 19.2301 | − | 16.2349i | 0.829071 | − | 0.699936i | ||||
\(539\) | 28.6025 | 1.23200 | ||||||||
\(540\) | 9.69119 | + | 17.9619i | 0.417043 | + | 0.772956i | ||||
\(541\) | −36.8551 | −1.58452 | −0.792262 | − | 0.610181i | \(-0.791097\pi\) | ||||
−0.792262 | + | 0.610181i | \(0.791097\pi\) | |||||||
\(542\) | 17.3593 | − | 14.6555i | 0.745647 | − | 0.629507i | ||||
\(543\) | −7.68903 | − | 7.68903i | −0.329968 | − | 0.329968i | ||||
\(544\) | −3.37184 | + | 7.52457i | −0.144566 | + | 0.322613i | ||||
\(545\) | −2.75239 | + | 22.4288i | −0.117900 | + | 0.960744i | ||||
\(546\) | −12.3177 | − | 1.04031i | −0.527150 | − | 0.0445211i | ||||
\(547\) | −7.80179 | + | 7.80179i | −0.333580 | + | 0.333580i | −0.853944 | − | 0.520364i | \(-0.825796\pi\) |
0.520364 | + | 0.853944i | \(0.325796\pi\) | |||||||
\(548\) | −11.4619 | + | 8.12899i | −0.489629 | + | 0.347253i | ||||
\(549\) | − | 0.429116i | − | 0.0183142i | ||||||
\(550\) | 30.1182 | − | 14.8070i | 1.28425 | − | 0.631374i | ||||
\(551\) | 1.98037i | 0.0843668i | ||||||||
\(552\) | −24.6616 | − | 41.8380i | −1.04967 | − | 1.78074i | ||||
\(553\) | 0.222660 | − | 0.222660i | 0.00946846 | − | 0.00946846i | ||||
\(554\) | 1.65331 | − | 19.5759i | 0.0702423 | − | 0.831700i | ||||
\(555\) | 4.16295 | − | 33.9231i | 0.176707 | − | 1.43996i | ||||
\(556\) | −1.41383 | + | 8.31051i | −0.0599599 | + | 0.352444i | ||||
\(557\) | −1.76844 | − | 1.76844i | −0.0749310 | − | 0.0749310i | 0.668648 | − | 0.743579i | \(-0.266873\pi\) |
−0.743579 | + | 0.668648i | \(0.766873\pi\) | |||||||
\(558\) | −5.02282 | − | 5.94950i | −0.212633 | − | 0.251863i | ||||
\(559\) | 12.5346 | 0.530158 | ||||||||
\(560\) | 8.36022 | − | 2.82875i | 0.353284 | − | 0.119537i | ||||
\(561\) | 13.1120 | 0.553587 | ||||||||
\(562\) | 9.50346 | + | 11.2568i | 0.400879 | + | 0.474839i | ||||
\(563\) | 6.91763 | + | 6.91763i | 0.291543 | + | 0.291543i | 0.837690 | − | 0.546146i | \(-0.183906\pi\) |
−0.546146 | + | 0.837690i | \(0.683906\pi\) | |||||||
\(564\) | 0.995323 | − | 5.85051i | 0.0419107 | − | 0.246351i | ||||
\(565\) | −10.8133 | + | 8.44946i | −0.454920 | + | 0.355472i | ||||
\(566\) | 1.63976 | − | 19.4155i | 0.0689242 | − | 0.816094i | ||||
\(567\) | 7.27441 | − | 7.27441i | 0.305497 | − | 0.305497i | ||||
\(568\) | −13.3482 | − | 22.6451i | −0.560080 | − | 0.950167i | ||||
\(569\) | 8.71597i | 0.365392i | 0.983169 | + | 0.182696i | \(0.0584825\pi\) | ||||
−0.983169 | + | 0.182696i | \(0.941518\pi\) | |||||||
\(570\) | 1.22805 | − | 5.86622i | 0.0514374 | − | 0.245709i | ||||
\(571\) | − | 44.1078i | − | 1.84586i | −0.384973 | − | 0.922928i | \(-0.625789\pi\) | ||
0.384973 | − | 0.922928i | \(-0.374211\pi\) | |||||||
\(572\) | 36.1895 | − | 25.6662i | 1.51316 | − | 1.07316i | ||||
\(573\) | −4.58530 | + | 4.58530i | −0.191554 | + | 0.191554i | ||||
\(574\) | 13.0925 | + | 1.10574i | 0.546469 | + | 0.0461527i | ||||
\(575\) | −23.3355 | − | 38.8251i | −0.973157 | − | 1.61912i | ||||
\(576\) | 4.14401 | + | 2.29377i | 0.172667 | + | 0.0955738i | ||||
\(577\) | −9.97337 | − | 9.97337i | −0.415197 | − | 0.415197i | 0.468348 | − | 0.883544i | \(-0.344850\pi\) |
−0.883544 | + | 0.468348i | \(0.844850\pi\) | |||||||
\(578\) | 16.0744 | − | 13.5707i | 0.668609 | − | 0.564468i | ||||
\(579\) | −37.9153 | −1.57570 | ||||||||
\(580\) | −8.48512 | − | 2.53779i | −0.352325 | − | 0.105376i | ||||
\(581\) | −3.00553 | −0.124691 | ||||||||
\(582\) | −24.0163 | + | 20.2756i | −0.995510 | + | 0.840451i | ||||
\(583\) | 0.0213949 | + | 0.0213949i | 0.000886088 | + | 0.000886088i | ||||
\(584\) | 4.54765 | − | 17.6065i | 0.188183 | − | 0.728563i | ||||
\(585\) | −3.80984 | − | 4.87571i | −0.157518 | − | 0.201586i | ||||
\(586\) | −35.7155 | − | 3.01640i | −1.47539 | − | 0.124606i | ||||
\(587\) | −5.10277 | + | 5.10277i | −0.210614 | + | 0.210614i | −0.804528 | − | 0.593914i | \(-0.797582\pi\) |
0.593914 | + | 0.804528i | \(0.297582\pi\) | |||||||
\(588\) | 13.2146 | + | 18.6327i | 0.544962 | + | 0.768399i | ||||
\(589\) | − | 9.29923i | − | 0.383168i | ||||||
\(590\) | 5.23387 | + | 8.00542i | 0.215475 | + | 0.329578i | ||||
\(591\) | 10.5682i | 0.434716i | ||||||||
\(592\) | 13.9841 | + | 29.0699i | 0.574742 | + | 1.19477i | ||||
\(593\) | 3.54561 | − | 3.54561i | 0.145601 | − | 0.145601i | −0.630549 | − | 0.776150i | \(-0.717170\pi\) |
0.776150 | + | 0.630549i | \(0.217170\pi\) | |||||||
\(594\) | −2.57795 | + | 30.5240i | −0.105774 | + | 1.25242i | ||||
\(595\) | 3.19221 | + | 0.391739i | 0.130868 | + | 0.0160597i | ||||
\(596\) | 13.8773 | + | 2.36089i | 0.568436 | + | 0.0967057i | ||||
\(597\) | −30.3537 | − | 30.3537i | −1.24230 | − | 1.24230i | ||||
\(598\) | −38.6300 | − | 45.7570i | −1.57970 | − | 1.87114i | ||||
\(599\) | 30.4232 | 1.24306 | 0.621529 | − | 0.783391i | \(-0.286512\pi\) | ||||
0.621529 | + | 0.783391i | \(0.286512\pi\) | |||||||
\(600\) | 23.5607 | + | 12.7791i | 0.961862 | + | 0.521704i | ||||
\(601\) | 26.2371 | 1.07023 | 0.535117 | − | 0.844778i | \(-0.320268\pi\) | ||||
0.535117 | + | 0.844778i | \(0.320268\pi\) | |||||||
\(602\) | 2.41423 | + | 2.85965i | 0.0983968 | + | 0.116550i | ||||
\(603\) | 5.99471 | + | 5.99471i | 0.244123 | + | 0.244123i | ||||
\(604\) | −33.1388 | − | 5.63777i | −1.34840 | − | 0.229397i | ||||
\(605\) | 25.5835 | + | 3.13953i | 1.04012 | + | 0.127640i | ||||
\(606\) | 0.536152 | − | 6.34829i | 0.0217797 | − | 0.257881i | ||||
\(607\) | −0.273256 | + | 0.273256i | −0.0110911 | + | 0.0110911i | −0.712631 | − | 0.701539i | \(-0.752496\pi\) |
0.701539 | + | 0.712631i | \(0.252496\pi\) | |||||||
\(608\) | 2.01454 | + | 5.28598i | 0.0817005 | + | 0.214375i | ||||
\(609\) | 3.70364i | 0.150079i | ||||||||
\(610\) | 1.25421 | + | 1.91836i | 0.0507813 | + | 0.0776722i | ||||
\(611\) | − | 7.31754i | − | 0.296036i | ||||||
\(612\) | 0.998481 | + | 1.40786i | 0.0403612 | + | 0.0569095i | ||||
\(613\) | −6.40183 | + | 6.40183i | −0.258567 | + | 0.258567i | −0.824471 | − | 0.565904i | \(-0.808527\pi\) |
0.565904 | + | 0.824471i | \(0.308527\pi\) | |||||||
\(614\) | −8.90579 | − | 0.752149i | −0.359408 | − | 0.0303543i | ||||
\(615\) | 24.5683 | + | 31.4417i | 0.990690 | + | 1.26785i | ||||
\(616\) | 12.8258 | + | 3.31281i | 0.516765 | + | 0.133477i | ||||
\(617\) | 21.3006 | + | 21.3006i | 0.857530 | + | 0.857530i | 0.991047 | − | 0.133517i | \(-0.0426269\pi\) |
−0.133517 | + | 0.991047i | \(0.542627\pi\) | |||||||
\(618\) | −9.21333 | + | 7.77828i | −0.370615 | + | 0.312888i | ||||
\(619\) | −21.5289 | −0.865320 | −0.432660 | − | 0.901557i | \(-0.642425\pi\) | ||||
−0.432660 | + | 0.901557i | \(0.642425\pi\) | |||||||
\(620\) | 39.8435 | + | 11.9167i | 1.60015 | + | 0.478585i | ||||
\(621\) | 41.3456 | 1.65914 | ||||||||
\(622\) | 0.642353 | − | 0.542302i | 0.0257560 | − | 0.0217443i | ||||
\(623\) | −5.67661 | − | 5.67661i | −0.227429 | − | 0.227429i | ||||
\(624\) | 33.4397 | + | 11.7171i | 1.33866 | + | 0.469058i | ||||
\(625\) | 22.0768 | + | 11.7309i | 0.883073 | + | 0.469236i | ||||
\(626\) | 28.4048 | + | 2.39896i | 1.13528 | + | 0.0958817i | ||||
\(627\) | 6.36077 | − | 6.36077i | 0.254025 | − | 0.254025i | ||||
\(628\) | −26.5796 | + | 18.8507i | −1.06064 | + | 0.752226i | ||||
\(629\) | 11.7551i | 0.468708i | ||||||||
\(630\) | 0.378547 | − | 1.80826i | 0.0150817 | − | 0.0720429i | ||||
\(631\) | − | 33.6642i | − | 1.34015i | −0.742294 | − | 0.670074i | \(-0.766262\pi\) | ||
0.742294 | − | 0.670074i | \(-0.233738\pi\) | |||||||
\(632\) | −0.777562 | + | 0.458337i | −0.0309297 | + | 0.0182317i | ||||
\(633\) | −31.7692 | + | 31.7692i | −1.26271 | + | 1.26271i | ||||
\(634\) | 1.46792 | − | 17.3808i | 0.0582985 | − | 0.690280i | ||||
\(635\) | 14.3206 | − | 11.1900i | 0.568295 | − | 0.444062i | ||||
\(636\) | −0.00405275 | + | 0.0238221i | −0.000160702 | + | 0.000944606i | ||||
\(637\) | 19.9166 | + | 19.9166i | 0.789122 | + | 0.789122i | ||||
\(638\) | −8.57503 | − | 10.1571i | −0.339489 | − | 0.402123i | ||||
\(639\) | −5.50240 | −0.217671 | ||||||||
\(640\) | −25.2299 | + | 1.85769i | −0.997300 | + | 0.0734315i | ||||
\(641\) | −11.4028 | −0.450383 | −0.225192 | − | 0.974314i | \(-0.572301\pi\) | ||||
−0.225192 | + | 0.974314i | \(0.572301\pi\) | |||||||
\(642\) | −27.8435 | − | 32.9805i | −1.09890 | − | 1.30164i | ||||
\(643\) | 31.2371 | + | 31.2371i | 1.23187 | + | 1.23187i | 0.963244 | + | 0.268629i | \(0.0865704\pi\) |
0.268629 | + | 0.963244i | \(0.413430\pi\) | |||||||
\(644\) | 2.99865 | − | 17.6261i | 0.118163 | − | 0.694565i | ||||
\(645\) | −1.38436 | + | 11.2809i | −0.0545092 | + | 0.444186i | ||||
\(646\) | −0.173479 | + | 2.05407i | −0.00682543 | + | 0.0808161i | ||||
\(647\) | 26.4732 | − | 26.4732i | 1.04077 | − | 1.04077i | 0.0416381 | − | 0.999133i | \(-0.486742\pi\) |
0.999133 | − | 0.0416381i | \(-0.0132576\pi\) | |||||||
\(648\) | −25.4033 | + | 14.9741i | −0.997937 | + | 0.588238i | ||||
\(649\) | 14.3554i | 0.563500i | ||||||||
\(650\) | 31.2824 | + | 10.6615i | 1.22700 | + | 0.418180i | ||||
\(651\) | − | 17.3912i | − | 0.681613i | ||||||
\(652\) | −19.6106 | + | 13.9082i | −0.768010 | + | 0.544686i | ||||
\(653\) | −17.1865 | + | 17.1865i | −0.672558 | + | 0.672558i | −0.958305 | − | 0.285747i | \(-0.907758\pi\) |
0.285747 | + | 0.958305i | \(0.407758\pi\) | |||||||
\(654\) | −26.9904 | − | 2.27951i | −1.05541 | − | 0.0891359i | ||||
\(655\) | 2.21218 | − | 18.0267i | 0.0864369 | − | 0.704360i | ||||
\(656\) | −35.5429 | − | 12.4540i | −1.38772 | − | 0.486247i | ||||
\(657\) | −2.69155 | − | 2.69155i | −0.105008 | − | 0.105008i | ||||
\(658\) | 1.66942 | − | 1.40940i | 0.0650808 | − | 0.0549440i | ||||
\(659\) | 46.1104 | 1.79621 | 0.898104 | − | 0.439783i | \(-0.144945\pi\) | ||||
0.898104 | + | 0.439783i | \(0.144945\pi\) | |||||||
\(660\) | 19.1022 | + | 35.4045i | 0.743554 | + | 1.37812i | ||||
\(661\) | 8.33816 | 0.324317 | 0.162158 | − | 0.986765i | \(-0.448154\pi\) | ||||
0.162158 | + | 0.986765i | \(0.448154\pi\) | |||||||
\(662\) | −13.5265 | + | 11.4196i | −0.525722 | + | 0.443837i | ||||
\(663\) | 9.13013 | + | 9.13013i | 0.354585 | + | 0.354585i | ||||
\(664\) | 8.34128 | + | 2.15450i | 0.323704 | + | 0.0836107i | ||||
\(665\) | 1.73862 | − | 1.35854i | 0.0674208 | − | 0.0526821i | ||||
\(666\) | 6.72856 | + | 0.568269i | 0.260726 | + | 0.0220200i | ||||
\(667\) | −12.6865 | + | 12.6865i | −0.491225 | + | 0.491225i | ||||
\(668\) | 19.2941 | + | 27.2047i | 0.746510 | + | 1.05258i | ||||
\(669\) | − | 33.4067i | − | 1.29158i | ||||||
\(670\) | −44.3204 | − | 9.27816i | −1.71225 | − | 0.358447i | ||||
\(671\) | 3.44003i | 0.132801i | ||||||||
\(672\) | 3.76754 | + | 9.88570i | 0.145336 | + | 0.381349i | ||||
\(673\) | −0.923216 | + | 0.923216i | −0.0355873 | + | 0.0355873i | −0.724677 | − | 0.689089i | \(-0.758011\pi\) |
0.689089 | + | 0.724677i | \(0.258011\pi\) | |||||||
\(674\) | 1.70523 | − | 20.1907i | 0.0656831 | − | 0.777718i | ||||
\(675\) | −19.5577 | + | 11.7550i | −0.752777 | + | 0.452451i | ||||
\(676\) | 17.4397 | + | 2.96695i | 0.670759 | + | 0.114113i | ||||
\(677\) | 3.76247 | + | 3.76247i | 0.144603 | + | 0.144603i | 0.775702 | − | 0.631099i | \(-0.217396\pi\) |
−0.631099 | + | 0.775702i | \(0.717396\pi\) | |||||||
\(678\) | −10.6114 | − | 12.5691i | −0.407528 | − | 0.482715i | ||||
\(679\) | −11.5711 | −0.444060 | ||||||||
\(680\) | −8.57855 | − | 3.37551i | −0.328972 | − | 0.129445i | ||||
\(681\) | −2.33626 | −0.0895259 | ||||||||
\(682\) | 40.2657 | + | 47.6945i | 1.54185 | + | 1.82632i | ||||
\(683\) | −13.9942 | − | 13.9942i | −0.535473 | − | 0.535473i | 0.386723 | − | 0.922196i | \(-0.373607\pi\) |
−0.922196 | + | 0.386723i | \(0.873607\pi\) | |||||||
\(684\) | 1.16735 | + | 0.198596i | 0.0446346 | + | 0.00759351i | ||||
\(685\) | −9.67317 | − | 12.3794i | −0.369593 | − | 0.472993i | ||||
\(686\) | −1.52980 | + | 18.1135i | −0.0584081 | + | 0.691578i | ||||
\(687\) | 13.6601 | − | 13.6601i | 0.521164 | − | 0.521164i | ||||
\(688\) | −4.65032 | − | 9.66702i | −0.177292 | − | 0.368552i | ||||
\(689\) | 0.0297955i | 0.00113512i | ||||||||
\(690\) | 45.4469 | − | 29.7127i | 1.73013 | − | 1.13114i | ||||
\(691\) | 10.1227i | 0.385087i | 0.981288 | + | 0.192544i | \(0.0616737\pi\) | ||||
−0.981288 | + | 0.192544i | \(0.938326\pi\) | |||||||
\(692\) | −22.9812 | − | 32.4036i | −0.873614 | − | 1.23180i | ||||
\(693\) | 1.96071 | − | 1.96071i | 0.0744812 | − | 0.0744812i | ||||
\(694\) | −0.964402 | − | 0.0814497i | −0.0366082 | − | 0.00309179i | ||||
\(695\) | −9.35475 | − | 1.14799i | −0.354846 | − | 0.0435456i | ||||
\(696\) | 2.65493 | − | 10.2787i | 0.100635 | − | 0.389614i | ||||
\(697\) | −9.70437 | − | 9.70437i | −0.367579 | − | 0.367579i | ||||
\(698\) | −13.0125 | + | 10.9857i | −0.492529 | + | 0.415814i | ||||
\(699\) | 14.0601 | 0.531802 | ||||||||
\(700\) | 3.59284 | + | 9.19023i | 0.135797 | + | 0.347358i | ||||
\(701\) | −21.0307 | −0.794320 | −0.397160 | − | 0.917749i | \(-0.630004\pi\) | ||||
−0.397160 | + | 0.917749i | \(0.630004\pi\) | |||||||
\(702\) | −23.0496 | + | 19.4595i | −0.869952 | + | 0.734450i | ||||
\(703\) | 5.70256 | + | 5.70256i | 0.215076 | + | 0.215076i | ||||
\(704\) | −33.2207 | − | 18.3881i | −1.25205 | − | 0.693029i | ||||
\(705\) | 6.58565 | + | 0.808171i | 0.248030 | + | 0.0304375i | ||||
\(706\) | −38.5198 | − | 3.25323i | −1.44971 | − | 0.122437i | ||||
\(707\) | 1.65847 | − | 1.65847i | 0.0623732 | − | 0.0623732i | ||||
\(708\) | −9.35163 | + | 6.63234i | −0.351456 | + | 0.249259i | ||||
\(709\) | − | 24.7345i | − | 0.928924i | −0.885593 | − | 0.464462i | \(-0.846248\pi\) | ||
0.885593 | − | 0.464462i | \(-0.153752\pi\) | |||||||
\(710\) | 24.5984 | − | 16.0822i | 0.923162 | − | 0.603555i | ||||
\(711\) | 0.188935i | 0.00708562i | ||||||||
\(712\) | 11.6851 | + | 19.8236i | 0.437917 | + | 0.742920i | ||||
\(713\) | 59.5721 | − | 59.5721i | 2.23099 | − | 2.23099i | ||||
\(714\) | −0.324435 | + | 3.84146i | −0.0121417 | + | 0.143763i | ||||
\(715\) | 30.5418 | + | 39.0863i | 1.14220 | + | 1.46175i | ||||
\(716\) | −2.97408 | + | 17.4816i | −0.111147 | + | 0.653319i | ||||
\(717\) | 1.05336 | + | 1.05336i | 0.0393383 | + | 0.0393383i | ||||
\(718\) | −21.6627 | − | 25.6594i | −0.808446 | − | 0.957599i | ||||
\(719\) | 26.9815 | 1.00624 | 0.503120 | − | 0.864216i | \(-0.332185\pi\) | ||||
0.503120 | + | 0.864216i | \(0.332185\pi\) | |||||||
\(720\) | −2.34682 | + | 4.74712i | −0.0874610 | + | 0.176915i | ||||
\(721\) | −4.43901 | −0.165317 | ||||||||
\(722\) | 0.912296 | + | 1.08061i | 0.0339521 | + | 0.0402161i | ||||
\(723\) | −24.5918 | − | 24.5918i | −0.914578 | − | 0.914578i | ||||
\(724\) | −1.92451 | + | 11.3123i | −0.0715238 | + | 0.420417i | ||||
\(725\) | 2.39420 | − | 9.60806i | 0.0889183 | − | 0.356834i | ||||
\(726\) | −2.60014 | + | 30.7868i | −0.0965001 | + | 1.14261i | ||||
\(727\) | −29.4984 | + | 29.4984i | −1.09404 | + | 1.09404i | −0.0989427 | + | 0.995093i | \(0.531546\pi\) |
−0.995093 | + | 0.0989427i | \(0.968454\pi\) | |||||||
\(728\) | 6.62408 | + | 11.2376i | 0.245505 | + | 0.416495i | ||||
\(729\) | − | 19.7758i | − | 0.732437i | ||||||
\(730\) | 19.8994 | + | 4.16579i | 0.736508 | + | 0.154183i | ||||
\(731\) | − | 3.90910i | − | 0.144583i | ||||||
\(732\) | −2.24096 | + | 1.58933i | −0.0828281 | + | 0.0587432i | ||||
\(733\) | −19.4831 | + | 19.4831i | −0.719625 | + | 0.719625i | −0.968528 | − | 0.248904i | \(-0.919930\pi\) |
0.248904 | + | 0.968528i | \(0.419930\pi\) | |||||||
\(734\) | −26.4133 | − | 2.23076i | −0.974931 | − | 0.0823390i | ||||
\(735\) | −20.1242 | + | 15.7249i | −0.742291 | + | 0.580021i | ||||
\(736\) | −20.9573 | + | 46.7682i | −0.772497 | + | 1.72390i | ||||
\(737\) | −48.0569 | − | 48.0569i | −1.77020 | − | 1.77020i | ||||
\(738\) | −6.02384 | + | 5.08558i | −0.221741 | + | 0.187203i | ||||
\(739\) | 37.1086 | 1.36506 | 0.682532 | − | 0.730856i | \(-0.260879\pi\) | ||||
0.682532 | + | 0.730856i | \(0.260879\pi\) | |||||||
\(740\) | −31.7409 | + | 17.1256i | −1.16682 | + | 0.629548i | ||||
\(741\) | 8.85828 | 0.325417 | ||||||||
\(742\) | −0.00679754 | + | 0.00573877i | −0.000249545 | + | 0.000210677i | ||||
\(743\) | 12.3911 | + | 12.3911i | 0.454586 | + | 0.454586i | 0.896873 | − | 0.442288i | \(-0.145833\pi\) |
−0.442288 | + | 0.896873i | \(0.645833\pi\) | |||||||
\(744\) | −12.4667 | + | 48.2658i | −0.457053 | + | 1.76951i | ||||
\(745\) | −1.91696 | + | 15.6210i | −0.0702322 | + | 0.572310i | ||||
\(746\) | −17.9359 | − | 1.51480i | −0.656681 | − | 0.0554609i | ||||
\(747\) | 1.27515 | − | 1.27515i | 0.0466554 | − | 0.0466554i | ||||
\(748\) | −8.00437 | − | 11.2862i | −0.292669 | − | 0.412664i | ||||
\(749\) | − | 15.8901i | − | 0.580612i | ||||||
\(750\) | −13.0501 | + | 26.9761i | −0.476522 | + | 0.985028i | ||||
\(751\) | 4.32457i | 0.157806i | 0.996882 | + | 0.0789029i | \(0.0251417\pi\) | ||||
−0.996882 | + | 0.0789029i | \(0.974858\pi\) | |||||||
\(752\) | −5.64347 | + | 2.71479i | −0.205796 | + | 0.0989983i | ||||
\(753\) | 10.8558 | − | 10.8558i | 0.395606 | − | 0.395606i | ||||
\(754\) | 1.10161 | − | 13.0436i | 0.0401183 | − | 0.475019i | ||||
\(755\) | 4.57769 | − | 37.3028i | 0.166599 | − | 1.35759i | ||||
\(756\) | −8.87895 | − | 1.51054i | −0.322924 | − | 0.0549378i | ||||
\(757\) | 4.02457 | + | 4.02457i | 0.146275 | + | 0.146275i | 0.776452 | − | 0.630177i | \(-0.217017\pi\) |
−0.630177 | + | 0.776452i | \(0.717017\pi\) | |||||||
\(758\) | 1.22200 | + | 1.44745i | 0.0443851 | + | 0.0525739i | ||||
\(759\) | 81.4959 | 2.95812 | ||||||||
\(760\) | −5.79906 | + | 2.52406i | −0.210354 | + | 0.0915572i | ||||
\(761\) | 35.1030 | 1.27248 | 0.636241 | − | 0.771490i | \(-0.280488\pi\) | ||||
0.636241 | + | 0.771490i | \(0.280488\pi\) | |||||||
\(762\) | 14.0532 | + | 16.6459i | 0.509092 | + | 0.603016i | ||||
\(763\) | −7.05117 | − | 7.05117i | −0.255270 | − | 0.255270i | ||||
\(764\) | 6.74599 | + | 1.14767i | 0.244061 | + | 0.0415212i | ||||
\(765\) | −1.52056 | + | 1.18815i | −0.0549759 | + | 0.0429577i | ||||
\(766\) | −0.404980 | + | 4.79515i | −0.0146325 | + | 0.173256i | ||||
\(767\) | −9.99599 | + | 9.99599i | −0.360934 | + | 0.360934i | ||||
\(768\) | −3.36958 | − | 30.1366i | −0.121589 | − | 1.08746i | ||||
\(769\) | − | 50.0247i | − | 1.80394i | −0.431802 | − | 0.901968i | \(-0.642122\pi\) | ||
0.431802 | − | 0.901968i | \(-0.357878\pi\) | |||||||
\(770\) | −3.03464 | + | 14.4960i | −0.109361 | + | 0.522401i | ||||
\(771\) | − | 21.7584i | − | 0.783609i |