Properties

Label 135.2.q.a.32.12
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.12
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.119567 - 1.36666i) q^{2} +(-1.50279 + 0.861169i) q^{3} +(0.116159 + 0.0204819i) q^{4} +(1.52669 + 1.63378i) q^{5} +(0.997239 + 2.15677i) q^{6} +(1.87969 - 2.68447i) q^{7} +(0.752017 - 2.80657i) q^{8} +(1.51678 - 2.58832i) q^{9} +O(q^{10})\) \(q+(0.119567 - 1.36666i) q^{2} +(-1.50279 + 0.861169i) q^{3} +(0.116159 + 0.0204819i) q^{4} +(1.52669 + 1.63378i) q^{5} +(0.997239 + 2.15677i) q^{6} +(1.87969 - 2.68447i) q^{7} +(0.752017 - 2.80657i) q^{8} +(1.51678 - 2.58832i) q^{9} +(2.41535 - 1.89111i) q^{10} +(-1.85785 + 5.10439i) q^{11} +(-0.192201 + 0.0692523i) q^{12} +(2.45985 - 0.215209i) q^{13} +(-3.44400 - 2.88986i) q^{14} +(-3.70125 - 1.14049i) q^{15} +(-3.52402 - 1.28264i) q^{16} +(-0.925208 - 3.45292i) q^{17} +(-3.35599 - 2.38239i) q^{18} +(-0.417150 + 0.240842i) q^{19} +(0.143875 + 0.221047i) q^{20} +(-0.512998 + 5.65293i) q^{21} +(6.75381 + 3.14935i) q^{22} +(-5.73060 + 4.01261i) q^{23} +(1.28680 + 4.86530i) q^{24} +(-0.338453 + 4.98853i) q^{25} -3.38750i q^{26} +(-0.0504220 + 5.19591i) q^{27} +(0.273325 - 0.273325i) q^{28} +(-0.0993465 + 0.0833616i) q^{29} +(-2.00121 + 4.92198i) q^{30} +(0.509526 - 2.88966i) q^{31} +(0.281608 - 0.603911i) q^{32} +(-1.60378 - 9.27076i) q^{33} +(-4.82959 + 0.851587i) q^{34} +(7.25552 - 1.02736i) q^{35} +(0.229201 - 0.269590i) q^{36} +(-6.26774 + 1.67943i) q^{37} +(0.279271 + 0.598898i) q^{38} +(-3.51131 + 2.44176i) q^{39} +(5.73340 - 3.05612i) q^{40} +(0.215101 - 0.256347i) q^{41} +(7.66428 + 1.37700i) q^{42} +(-5.27405 + 2.45933i) q^{43} +(-0.320353 + 0.554867i) q^{44} +(6.54438 - 1.47348i) q^{45} +(4.79867 + 8.31155i) q^{46} +(-9.71652 - 6.80358i) q^{47} +(6.40045 - 1.10724i) q^{48} +(-1.27902 - 3.51408i) q^{49} +(6.77715 + 1.05901i) q^{50} +(4.36395 + 4.39227i) q^{51} +(0.290141 + 0.0253840i) q^{52} +(0.167838 + 0.167838i) q^{53} +(7.09500 + 0.690169i) q^{54} +(-11.1758 + 4.75750i) q^{55} +(-6.12058 - 7.29423i) q^{56} +(0.419485 - 0.721172i) q^{57} +(0.102048 + 0.145740i) q^{58} +(3.62976 - 1.32113i) q^{59} +(-0.406574 - 0.208287i) q^{60} +(-0.855508 - 4.85182i) q^{61} +(-3.88826 - 1.04186i) q^{62} +(-4.09720 - 8.93697i) q^{63} +(-7.28718 - 4.20726i) q^{64} +(4.10702 + 3.69029i) q^{65} +(-12.8617 + 1.08334i) q^{66} +(0.372661 + 4.25953i) q^{67} +(-0.0367485 - 0.420038i) q^{68} +(5.15637 - 10.9651i) q^{69} +(-0.536526 - 10.0386i) q^{70} +(7.10207 + 4.10038i) q^{71} +(-6.12364 - 6.20339i) q^{72} +(13.1228 + 3.51625i) q^{73} +(1.54580 + 8.76665i) q^{74} +(-3.78734 - 7.78820i) q^{75} +(-0.0533886 + 0.0194318i) q^{76} +(10.2104 + 14.5820i) q^{77} +(2.91721 + 5.09072i) q^{78} +(-6.44655 - 7.68270i) q^{79} +(-3.28453 - 7.71565i) q^{80} +(-4.39878 - 7.85180i) q^{81} +(-0.324619 - 0.324619i) q^{82} +(-0.0147020 - 0.00128626i) q^{83} +(-0.175372 + 0.646131i) q^{84} +(4.22880 - 6.78312i) q^{85} +(2.73046 + 7.50188i) q^{86} +(0.0775088 - 0.210829i) q^{87} +(12.9287 + 9.05275i) q^{88} +(2.55837 + 4.43123i) q^{89} +(-1.23125 - 9.12010i) q^{90} +(4.04602 - 7.00791i) q^{91} +(-0.747846 + 0.348726i) q^{92} +(1.72278 + 4.78135i) q^{93} +(-10.4599 + 12.4657i) q^{94} +(-1.03034 - 0.313840i) q^{95} +(0.0968703 + 1.15007i) q^{96} +(1.75805 + 3.77015i) q^{97} +(-4.95547 + 1.32781i) q^{98} +(10.3938 + 12.5509i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.119567 1.36666i 0.0845467 0.966373i −0.828895 0.559404i \(-0.811030\pi\)
0.913442 0.406969i \(-0.133414\pi\)
\(3\) −1.50279 + 0.861169i −0.867638 + 0.497196i
\(4\) 0.116159 + 0.0204819i 0.0580794 + 0.0102410i
\(5\) 1.52669 + 1.63378i 0.682755 + 0.730647i
\(6\) 0.997239 + 2.15677i 0.407121 + 0.880498i
\(7\) 1.87969 2.68447i 0.710455 1.01463i −0.287921 0.957654i \(-0.592964\pi\)
0.998375 0.0569801i \(-0.0181472\pi\)
\(8\) 0.752017 2.80657i 0.265878 0.992271i
\(9\) 1.51678 2.58832i 0.505592 0.862773i
\(10\) 2.41535 1.89111i 0.763802 0.598022i
\(11\) −1.85785 + 5.10439i −0.560161 + 1.53903i 0.259241 + 0.965813i \(0.416527\pi\)
−0.819403 + 0.573218i \(0.805695\pi\)
\(12\) −0.192201 + 0.0692523i −0.0554837 + 0.0199914i
\(13\) 2.45985 0.215209i 0.682239 0.0596882i 0.259233 0.965815i \(-0.416530\pi\)
0.423006 + 0.906127i \(0.360975\pi\)
\(14\) −3.44400 2.88986i −0.920449 0.772348i
\(15\) −3.70125 1.14049i −0.955659 0.294474i
\(16\) −3.52402 1.28264i −0.881006 0.320660i
\(17\) −0.925208 3.45292i −0.224396 0.837457i −0.982646 0.185493i \(-0.940612\pi\)
0.758250 0.651964i \(-0.226055\pi\)
\(18\) −3.35599 2.38239i −0.791014 0.561535i
\(19\) −0.417150 + 0.240842i −0.0957007 + 0.0552529i −0.547087 0.837076i \(-0.684263\pi\)
0.451386 + 0.892329i \(0.350930\pi\)
\(20\) 0.143875 + 0.221047i 0.0321715 + 0.0494276i
\(21\) −0.512998 + 5.65293i −0.111945 + 1.23357i
\(22\) 6.75381 + 3.14935i 1.43992 + 0.671445i
\(23\) −5.73060 + 4.01261i −1.19491 + 0.836687i −0.989858 0.142063i \(-0.954626\pi\)
−0.205055 + 0.978750i \(0.565737\pi\)
\(24\) 1.28680 + 4.86530i 0.262667 + 0.993125i
\(25\) −0.338453 + 4.98853i −0.0676907 + 0.997706i
\(26\) 3.38750i 0.664344i
\(27\) −0.0504220 + 5.19591i −0.00970372 + 0.999953i
\(28\) 0.273325 0.273325i 0.0516536 0.0516536i
\(29\) −0.0993465 + 0.0833616i −0.0184482 + 0.0154799i −0.651965 0.758249i \(-0.726055\pi\)
0.633517 + 0.773729i \(0.281611\pi\)
\(30\) −2.00121 + 4.92198i −0.365370 + 0.898627i
\(31\) 0.509526 2.88966i 0.0915135 0.518999i −0.904247 0.427011i \(-0.859567\pi\)
0.995760 0.0919882i \(-0.0293222\pi\)
\(32\) 0.281608 0.603911i 0.0497818 0.106757i
\(33\) −1.60378 9.27076i −0.279183 1.61383i
\(34\) −4.82959 + 0.851587i −0.828268 + 0.146046i
\(35\) 7.25552 1.02736i 1.22641 0.173655i
\(36\) 0.229201 0.269590i 0.0382001 0.0449316i
\(37\) −6.26774 + 1.67943i −1.03041 + 0.276097i −0.734134 0.679005i \(-0.762411\pi\)
−0.296276 + 0.955102i \(0.595745\pi\)
\(38\) 0.279271 + 0.598898i 0.0453037 + 0.0971540i
\(39\) −3.51131 + 2.44176i −0.562260 + 0.390994i
\(40\) 5.73340 3.05612i 0.906529 0.483215i
\(41\) 0.215101 0.256347i 0.0335931 0.0400346i −0.748986 0.662585i \(-0.769459\pi\)
0.782579 + 0.622551i \(0.213904\pi\)
\(42\) 7.66428 + 1.37700i 1.18262 + 0.212475i
\(43\) −5.27405 + 2.45933i −0.804285 + 0.375044i −0.780880 0.624682i \(-0.785229\pi\)
−0.0234058 + 0.999726i \(0.507451\pi\)
\(44\) −0.320353 + 0.554867i −0.0482950 + 0.0836494i
\(45\) 6.54438 1.47348i 0.975578 0.219653i
\(46\) 4.79867 + 8.31155i 0.707526 + 1.22547i
\(47\) −9.71652 6.80358i −1.41730 0.992405i −0.996354 0.0853195i \(-0.972809\pi\)
−0.420947 0.907085i \(-0.638302\pi\)
\(48\) 6.40045 1.10724i 0.923825 0.159816i
\(49\) −1.27902 3.51408i −0.182717 0.502011i
\(50\) 6.77715 + 1.05901i 0.958433 + 0.149767i
\(51\) 4.36395 + 4.39227i 0.611075 + 0.615041i
\(52\) 0.290141 + 0.0253840i 0.0402353 + 0.00352013i
\(53\) 0.167838 + 0.167838i 0.0230543 + 0.0230543i 0.718540 0.695486i \(-0.244811\pi\)
−0.695486 + 0.718540i \(0.744811\pi\)
\(54\) 7.09500 + 0.690169i 0.965507 + 0.0939201i
\(55\) −11.1758 + 4.75750i −1.50694 + 0.641501i
\(56\) −6.12058 7.29423i −0.817898 0.974732i
\(57\) 0.419485 0.721172i 0.0555621 0.0955215i
\(58\) 0.102048 + 0.145740i 0.0133996 + 0.0191366i
\(59\) 3.62976 1.32113i 0.472555 0.171996i −0.0947544 0.995501i \(-0.530207\pi\)
0.567309 + 0.823505i \(0.307984\pi\)
\(60\) −0.406574 0.208287i −0.0524884 0.0268898i
\(61\) −0.855508 4.85182i −0.109537 0.621212i −0.989311 0.145821i \(-0.953418\pi\)
0.879774 0.475391i \(-0.157694\pi\)
\(62\) −3.88826 1.04186i −0.493809 0.132316i
\(63\) −4.09720 8.93697i −0.516199 1.12595i
\(64\) −7.28718 4.20726i −0.910898 0.525907i
\(65\) 4.10702 + 3.69029i 0.509413 + 0.457724i
\(66\) −12.8617 + 1.08334i −1.58317 + 0.133350i
\(67\) 0.372661 + 4.25953i 0.0455277 + 0.520385i 0.984379 + 0.176062i \(0.0563359\pi\)
−0.938851 + 0.344323i \(0.888109\pi\)
\(68\) −0.0367485 0.420038i −0.00445641 0.0509370i
\(69\) 5.15637 10.9651i 0.620755 1.32005i
\(70\) −0.536526 10.0386i −0.0641271 1.19985i
\(71\) 7.10207 + 4.10038i 0.842861 + 0.486626i 0.858236 0.513256i \(-0.171561\pi\)
−0.0153747 + 0.999882i \(0.504894\pi\)
\(72\) −6.12364 6.20339i −0.721678 0.731076i
\(73\) 13.1228 + 3.51625i 1.53591 + 0.411546i 0.924942 0.380108i \(-0.124113\pi\)
0.610969 + 0.791654i \(0.290780\pi\)
\(74\) 1.54580 + 8.76665i 0.179695 + 1.01910i
\(75\) −3.78734 7.78820i −0.437325 0.899304i
\(76\) −0.0533886 + 0.0194318i −0.00612409 + 0.00222899i
\(77\) 10.2104 + 14.5820i 1.16358 + 1.66177i
\(78\) 2.91721 + 5.09072i 0.330309 + 0.576410i
\(79\) −6.44655 7.68270i −0.725293 0.864371i 0.269840 0.962905i \(-0.413029\pi\)
−0.995134 + 0.0985341i \(0.968585\pi\)
\(80\) −3.28453 7.71565i −0.367222 0.862636i
\(81\) −4.39878 7.85180i −0.488753 0.872422i
\(82\) −0.324619 0.324619i −0.0358482 0.0358482i
\(83\) −0.0147020 0.00128626i −0.00161375 0.000141185i 0.0863488 0.996265i \(-0.472480\pi\)
−0.0879626 + 0.996124i \(0.528036\pi\)
\(84\) −0.175372 + 0.646131i −0.0191347 + 0.0704987i
\(85\) 4.22880 6.78312i 0.458678 0.735732i
\(86\) 2.73046 + 7.50188i 0.294433 + 0.808948i
\(87\) 0.0775088 0.210829i 0.00830982 0.0226033i
\(88\) 12.9287 + 9.05275i 1.37820 + 0.965026i
\(89\) 2.55837 + 4.43123i 0.271187 + 0.469709i 0.969166 0.246409i \(-0.0792506\pi\)
−0.697979 + 0.716118i \(0.745917\pi\)
\(90\) −1.23125 9.12010i −0.129785 0.961343i
\(91\) 4.04602 7.00791i 0.424138 0.734629i
\(92\) −0.747846 + 0.348726i −0.0779683 + 0.0363572i
\(93\) 1.72278 + 4.78135i 0.178644 + 0.495803i
\(94\) −10.4599 + 12.4657i −1.07886 + 1.28574i
\(95\) −1.03034 0.313840i −0.105711 0.0321993i
\(96\) 0.0968703 + 1.15007i 0.00988679 + 0.117378i
\(97\) 1.75805 + 3.77015i 0.178503 + 0.382800i 0.975118 0.221686i \(-0.0711561\pi\)
−0.796615 + 0.604487i \(0.793378\pi\)
\(98\) −4.95547 + 1.32781i −0.500578 + 0.134129i
\(99\) 10.3938 + 12.5509i 1.04462 + 1.26141i
\(100\) −0.141489 + 0.572530i −0.0141489 + 0.0572530i
\(101\) 7.79700 1.37482i 0.775831 0.136800i 0.228306 0.973589i \(-0.426681\pi\)
0.547525 + 0.836789i \(0.315570\pi\)
\(102\) 6.52451 5.43885i 0.646023 0.538526i
\(103\) 2.27837 4.88597i 0.224494 0.481429i −0.761509 0.648154i \(-0.775541\pi\)
0.986004 + 0.166725i \(0.0533191\pi\)
\(104\) 1.24585 7.06556i 0.122166 0.692836i
\(105\) −10.0188 + 7.79213i −0.977736 + 0.760434i
\(106\) 0.249444 0.209309i 0.0242282 0.0203299i
\(107\) 6.45665 6.45665i 0.624188 0.624188i −0.322412 0.946600i \(-0.604494\pi\)
0.946600 + 0.322412i \(0.104494\pi\)
\(108\) −0.112279 + 0.602518i −0.0108041 + 0.0579773i
\(109\) 10.2697i 0.983654i 0.870693 + 0.491827i \(0.163671\pi\)
−0.870693 + 0.491827i \(0.836329\pi\)
\(110\) 5.16562 + 15.8423i 0.492522 + 1.51050i
\(111\) 7.97284 7.92142i 0.756748 0.751868i
\(112\) −10.0673 + 7.04917i −0.951267 + 0.666084i
\(113\) 9.42875 + 4.39670i 0.886982 + 0.413607i 0.812054 0.583582i \(-0.198349\pi\)
0.0749283 + 0.997189i \(0.476127\pi\)
\(114\) −0.935438 0.659520i −0.0876118 0.0617697i
\(115\) −15.3045 3.23652i −1.42716 0.301807i
\(116\) −0.0132474 + 0.00764838i −0.00122999 + 0.000710134i
\(117\) 3.17401 6.69329i 0.293437 0.618795i
\(118\) −1.37153 5.11861i −0.126259 0.471206i
\(119\) −11.0084 4.00672i −1.00914 0.367295i
\(120\) −5.98427 + 9.53014i −0.546287 + 0.869979i
\(121\) −14.1767 11.8957i −1.28879 1.08142i
\(122\) −6.73307 + 0.589068i −0.609584 + 0.0533317i
\(123\) −0.102494 + 0.570474i −0.00924155 + 0.0514379i
\(124\) 0.118372 0.325224i 0.0106301 0.0292060i
\(125\) −8.66686 + 7.06297i −0.775187 + 0.631731i
\(126\) −12.7037 + 4.53090i −1.13173 + 0.403645i
\(127\) −3.39311 + 12.6633i −0.301090 + 1.12368i 0.635169 + 0.772373i \(0.280931\pi\)
−0.936259 + 0.351311i \(0.885736\pi\)
\(128\) −5.85679 + 8.36436i −0.517672 + 0.739312i
\(129\) 5.80791 8.23772i 0.511358 0.725290i
\(130\) 5.53442 5.17166i 0.485401 0.453584i
\(131\) −3.19816 0.563922i −0.279425 0.0492701i 0.0321796 0.999482i \(-0.489755\pi\)
−0.311604 + 0.950212i \(0.600866\pi\)
\(132\) 0.00358957 1.10973i 0.000312432 0.0965895i
\(133\) −0.137579 + 1.57253i −0.0119296 + 0.136356i
\(134\) 5.86588 0.506735
\(135\) −8.56593 + 7.85015i −0.737238 + 0.675633i
\(136\) −10.3866 −0.890646
\(137\) 0.410087 4.68732i 0.0350361 0.400465i −0.958346 0.285609i \(-0.907804\pi\)
0.993382 0.114855i \(-0.0366404\pi\)
\(138\) −14.3691 8.35807i −1.22318 0.711486i
\(139\) 11.3538 + 2.00197i 0.963013 + 0.169805i 0.632983 0.774165i \(-0.281830\pi\)
0.330030 + 0.943971i \(0.392941\pi\)
\(140\) 0.863835 + 0.0292703i 0.0730074 + 0.00247380i
\(141\) 20.4610 + 1.85681i 1.72312 + 0.156372i
\(142\) 6.45299 9.21583i 0.541523 0.773375i
\(143\) −3.47151 + 12.9558i −0.290302 + 1.08342i
\(144\) −8.66503 + 7.17581i −0.722086 + 0.597984i
\(145\) −0.287865 0.0350429i −0.0239059 0.00291015i
\(146\) 6.37457 17.5140i 0.527563 1.44947i
\(147\) 4.94831 + 4.17948i 0.408130 + 0.344718i
\(148\) −0.762451 + 0.0667058i −0.0626731 + 0.00548319i
\(149\) −8.56384 7.18592i −0.701577 0.588693i 0.220645 0.975354i \(-0.429184\pi\)
−0.922222 + 0.386661i \(0.873628\pi\)
\(150\) −11.0966 + 4.24479i −0.906037 + 0.346586i
\(151\) 11.0074 + 4.00638i 0.895773 + 0.326035i 0.748558 0.663070i \(-0.230747\pi\)
0.147215 + 0.989104i \(0.452969\pi\)
\(152\) 0.362234 + 1.35188i 0.0293810 + 0.109652i
\(153\) −10.3406 2.84258i −0.835988 0.229809i
\(154\) 21.1494 12.2106i 1.70427 0.983959i
\(155\) 5.49895 3.57916i 0.441686 0.287485i
\(156\) −0.457882 + 0.211713i −0.0366599 + 0.0169506i
\(157\) −18.4349 8.59634i −1.47127 0.686062i −0.488781 0.872407i \(-0.662558\pi\)
−0.982485 + 0.186344i \(0.940336\pi\)
\(158\) −11.2704 + 7.89163i −0.896626 + 0.627824i
\(159\) −0.396762 0.107689i −0.0314653 0.00854027i
\(160\) 1.41658 0.461898i 0.111991 0.0365163i
\(161\) 22.9261i 1.80683i
\(162\) −11.2567 + 5.07281i −0.884407 + 0.398558i
\(163\) −6.89303 + 6.89303i −0.539904 + 0.539904i −0.923501 0.383597i \(-0.874685\pi\)
0.383597 + 0.923501i \(0.374685\pi\)
\(164\) 0.0302363 0.0253713i 0.00236106 0.00198116i
\(165\) 12.6979 16.7738i 0.988528 1.30584i
\(166\) −0.00351574 + 0.0199388i −0.000272875 + 0.00154755i
\(167\) 3.38405 7.25712i 0.261866 0.561573i −0.730782 0.682611i \(-0.760844\pi\)
0.992648 + 0.121038i \(0.0386222\pi\)
\(168\) 15.4795 + 5.69086i 1.19427 + 0.439060i
\(169\) −6.79796 + 1.19866i −0.522920 + 0.0922049i
\(170\) −8.76457 6.59036i −0.672212 0.505458i
\(171\) −0.00934832 + 1.44502i −0.000714884 + 0.110503i
\(172\) −0.663000 + 0.177650i −0.0505532 + 0.0135457i
\(173\) −6.47315 13.8817i −0.492145 1.05541i −0.982905 0.184113i \(-0.941059\pi\)
0.490760 0.871295i \(-0.336719\pi\)
\(174\) −0.278864 0.131136i −0.0211406 0.00994141i
\(175\) 12.7554 + 10.2854i 0.964216 + 0.777506i
\(176\) 13.0942 15.6050i 0.987011 1.17627i
\(177\) −4.31707 + 5.11122i −0.324491 + 0.384183i
\(178\) 6.36186 2.96659i 0.476842 0.222355i
\(179\) 10.5577 18.2866i 0.789123 1.36680i −0.137382 0.990518i \(-0.543869\pi\)
0.926505 0.376283i \(-0.122798\pi\)
\(180\) 0.790367 0.0371160i 0.0589105 0.00276646i
\(181\) 5.12182 + 8.87125i 0.380702 + 0.659395i 0.991163 0.132651i \(-0.0423491\pi\)
−0.610461 + 0.792046i \(0.709016\pi\)
\(182\) −9.09365 6.36744i −0.674066 0.471986i
\(183\) 5.46389 + 6.55455i 0.403902 + 0.484527i
\(184\) 6.95214 + 19.1009i 0.512519 + 1.40813i
\(185\) −12.3127 7.67611i −0.905247 0.564359i
\(186\) 6.74046 1.78275i 0.494235 0.130718i
\(187\) 19.3440 + 1.69238i 1.41457 + 0.123759i
\(188\) −0.989310 0.989310i −0.0721528 0.0721528i
\(189\) 13.8535 + 9.90203i 1.00769 + 0.720267i
\(190\) −0.552106 + 1.37060i −0.0400540 + 0.0994334i
\(191\) −3.94811 4.70518i −0.285676 0.340455i 0.604054 0.796944i \(-0.293551\pi\)
−0.889729 + 0.456489i \(0.849107\pi\)
\(192\) 14.5743 + 0.0471425i 1.05181 + 0.00340222i
\(193\) −3.63906 5.19711i −0.261945 0.374096i 0.666538 0.745471i \(-0.267775\pi\)
−0.928483 + 0.371375i \(0.878887\pi\)
\(194\) 5.36270 1.95186i 0.385020 0.140136i
\(195\) −9.34996 2.00890i −0.669565 0.143860i
\(196\) −0.0765943 0.434388i −0.00547102 0.0310277i
\(197\) −0.329097 0.0881812i −0.0234472 0.00628265i 0.247076 0.968996i \(-0.420530\pi\)
−0.270524 + 0.962713i \(0.587197\pi\)
\(198\) 18.3956 12.7041i 1.30732 0.902845i
\(199\) 17.6952 + 10.2163i 1.25438 + 0.724216i 0.971976 0.235079i \(-0.0755350\pi\)
0.282404 + 0.959296i \(0.408868\pi\)
\(200\) 13.7461 + 4.70135i 0.971997 + 0.332436i
\(201\) −4.22821 6.08027i −0.298235 0.428869i
\(202\) −0.946646 10.8202i −0.0666058 0.761308i
\(203\) 0.0370415 + 0.423386i 0.00259980 + 0.0297159i
\(204\) 0.416949 + 0.599583i 0.0291923 + 0.0419792i
\(205\) 0.747205 0.0399351i 0.0521870 0.00278919i
\(206\) −6.40504 3.69795i −0.446260 0.257648i
\(207\) 1.69387 + 20.9189i 0.117732 + 1.45396i
\(208\) −8.94459 2.39670i −0.620196 0.166181i
\(209\) −0.454349 2.57674i −0.0314280 0.178237i
\(210\) 9.45126 + 14.6240i 0.652199 + 1.00915i
\(211\) −5.48650 + 1.99692i −0.377706 + 0.137474i −0.523895 0.851783i \(-0.675522\pi\)
0.146189 + 0.989257i \(0.453299\pi\)
\(212\) 0.0160582 + 0.0229335i 0.00110288 + 0.00157508i
\(213\) −14.2041 0.0459450i −0.973247 0.00314810i
\(214\) −8.05203 9.59603i −0.550425 0.655971i
\(215\) −12.0698 4.86199i −0.823155 0.331585i
\(216\) 14.5447 + 4.04892i 0.989644 + 0.275494i
\(217\) −6.79947 6.79947i −0.461578 0.461578i
\(218\) 14.0351 + 1.22791i 0.950577 + 0.0831647i
\(219\) −22.7490 + 6.01677i −1.53723 + 0.406576i
\(220\) −1.39561 + 0.323724i −0.0940919 + 0.0218255i
\(221\) −3.01897 8.29455i −0.203078 0.557952i
\(222\) −9.87259 11.8433i −0.662605 0.794869i
\(223\) 16.0285 + 11.2233i 1.07335 + 0.751567i 0.970006 0.243079i \(-0.0781575\pi\)
0.103342 + 0.994646i \(0.467046\pi\)
\(224\) −1.09185 1.89113i −0.0729521 0.126357i
\(225\) 12.3985 + 8.44251i 0.826570 + 0.562834i
\(226\) 7.13615 12.3602i 0.474690 0.822187i
\(227\) −9.06123 + 4.22532i −0.601415 + 0.280444i −0.699385 0.714745i \(-0.746543\pi\)
0.0979701 + 0.995189i \(0.468765\pi\)
\(228\) 0.0634979 0.0751786i 0.00420525 0.00497882i
\(229\) 8.12582 9.68397i 0.536969 0.639935i −0.427536 0.903998i \(-0.640618\pi\)
0.964505 + 0.264063i \(0.0850628\pi\)
\(230\) −6.25314 + 20.5291i −0.412320 + 1.35365i
\(231\) −27.9017 13.1208i −1.83580 0.863286i
\(232\) 0.159249 + 0.341512i 0.0104552 + 0.0224213i
\(233\) 1.46682 0.393034i 0.0960947 0.0257485i −0.210451 0.977604i \(-0.567493\pi\)
0.306546 + 0.951856i \(0.400827\pi\)
\(234\) −8.76793 5.13808i −0.573178 0.335887i
\(235\) −3.71856 26.2616i −0.242572 1.71312i
\(236\) 0.448688 0.0791159i 0.0292071 0.00515000i
\(237\) 16.3039 + 5.99394i 1.05905 + 0.389348i
\(238\) −6.79205 + 14.5656i −0.440263 + 0.944148i
\(239\) 3.47433 19.7039i 0.224735 1.27454i −0.638455 0.769659i \(-0.720426\pi\)
0.863190 0.504879i \(-0.168463\pi\)
\(240\) 11.5805 + 8.76650i 0.747515 + 0.565875i
\(241\) −8.08193 + 6.78155i −0.520603 + 0.436838i −0.864842 0.502044i \(-0.832581\pi\)
0.344239 + 0.938882i \(0.388137\pi\)
\(242\) −17.9524 + 17.9524i −1.15402 + 1.15402i
\(243\) 13.3722 + 8.01154i 0.857826 + 0.513940i
\(244\) 0.581105i 0.0372014i
\(245\) 3.78855 7.45452i 0.242042 0.476252i
\(246\) 0.767388 + 0.208284i 0.0489269 + 0.0132797i
\(247\) −0.974294 + 0.682208i −0.0619929 + 0.0434079i
\(248\) −7.72686 3.60309i −0.490656 0.228797i
\(249\) 0.0232017 0.0107279i 0.00147035 0.000679853i
\(250\) 8.61639 + 12.6891i 0.544948 + 0.802531i
\(251\) −8.94339 + 5.16347i −0.564502 + 0.325915i −0.754950 0.655782i \(-0.772339\pi\)
0.190449 + 0.981697i \(0.439006\pi\)
\(252\) −0.292880 1.12203i −0.0184497 0.0706810i
\(253\) −9.83535 36.7060i −0.618343 2.30769i
\(254\) 16.9007 + 6.15134i 1.06044 + 0.385969i
\(255\) −0.513608 + 13.8353i −0.0321634 + 0.866402i
\(256\) −2.16084 1.81316i −0.135053 0.113323i
\(257\) 15.3834 1.34587i 0.959591 0.0839533i 0.403414 0.915017i \(-0.367823\pi\)
0.556177 + 0.831064i \(0.312268\pi\)
\(258\) −10.5637 8.92238i −0.657667 0.555483i
\(259\) −7.27299 + 19.9824i −0.451921 + 1.24164i
\(260\) 0.401483 + 0.512779i 0.0248989 + 0.0318012i
\(261\) 0.0650799 + 0.383581i 0.00402835 + 0.0237431i
\(262\) −1.15308 + 4.30336i −0.0712377 + 0.265863i
\(263\) 7.80938 11.1530i 0.481547 0.687721i −0.502712 0.864454i \(-0.667664\pi\)
0.984259 + 0.176734i \(0.0565531\pi\)
\(264\) −27.2251 2.47065i −1.67559 0.152058i
\(265\) −0.0179737 + 0.530445i −0.00110411 + 0.0325850i
\(266\) 2.13266 + 0.376046i 0.130762 + 0.0230569i
\(267\) −7.66073 4.45603i −0.468829 0.272705i
\(268\) −0.0439556 + 0.502415i −0.00268502 + 0.0306899i
\(269\) 11.6016 0.707363 0.353681 0.935366i \(-0.384930\pi\)
0.353681 + 0.935366i \(0.384930\pi\)
\(270\) 9.70426 + 12.6453i 0.590582 + 0.769569i
\(271\) 10.5393 0.640216 0.320108 0.947381i \(-0.396281\pi\)
0.320108 + 0.947381i \(0.396281\pi\)
\(272\) −1.16840 + 13.3549i −0.0708447 + 0.809759i
\(273\) −0.0453358 + 14.0158i −0.00274385 + 0.848272i
\(274\) −6.35693 1.12090i −0.384036 0.0677159i
\(275\) −24.8346 10.9955i −1.49758 0.663055i
\(276\) 0.823546 1.16809i 0.0495716 0.0703105i
\(277\) −9.50648 + 13.5767i −0.571189 + 0.815743i −0.995983 0.0895477i \(-0.971458\pi\)
0.424793 + 0.905290i \(0.360347\pi\)
\(278\) 4.09355 15.2773i 0.245515 0.916273i
\(279\) −6.70653 5.70179i −0.401510 0.341357i
\(280\) 2.57292 21.1357i 0.153762 1.26310i
\(281\) −4.02535 + 11.0596i −0.240132 + 0.659758i 0.759821 + 0.650132i \(0.225286\pi\)
−0.999954 + 0.00962623i \(0.996936\pi\)
\(282\) 4.98408 27.7411i 0.296798 1.65196i
\(283\) 7.29153 0.637926i 0.433437 0.0379208i 0.131650 0.991296i \(-0.457973\pi\)
0.301787 + 0.953375i \(0.402417\pi\)
\(284\) 0.740985 + 0.621760i 0.0439694 + 0.0368947i
\(285\) 1.81866 0.415659i 0.107728 0.0246215i
\(286\) 17.2911 + 6.29345i 1.02245 + 0.372140i
\(287\) −0.283834 1.05928i −0.0167542 0.0625275i
\(288\) −1.13598 1.64489i −0.0669381 0.0969261i
\(289\) 3.65576 2.11066i 0.215045 0.124156i
\(290\) −0.0823108 + 0.389223i −0.00483346 + 0.0228560i
\(291\) −5.88872 4.15178i −0.345203 0.243381i
\(292\) 1.45231 + 0.677225i 0.0849902 + 0.0396316i
\(293\) −6.51480 + 4.56171i −0.380599 + 0.266498i −0.748183 0.663492i \(-0.769074\pi\)
0.367585 + 0.929990i \(0.380185\pi\)
\(294\) 6.30357 6.26292i 0.367632 0.365261i
\(295\) 7.69994 + 3.91328i 0.448308 + 0.227840i
\(296\) 18.8538i 1.09585i
\(297\) −26.4283 9.91057i −1.53352 0.575069i
\(298\) −10.8446 + 10.8446i −0.628213 + 0.628213i
\(299\) −13.2329 + 11.1037i −0.765276 + 0.642143i
\(300\) −0.280416 0.982240i −0.0161898 0.0567097i
\(301\) −3.31156 + 18.7808i −0.190875 + 1.08251i
\(302\) 6.79148 14.5644i 0.390806 0.838086i
\(303\) −10.5333 + 8.78061i −0.605124 + 0.504433i
\(304\) 1.77896 0.313678i 0.102030 0.0179907i
\(305\) 6.62071 8.80493i 0.379101 0.504169i
\(306\) −5.12123 + 13.7922i −0.292761 + 0.788446i
\(307\) 9.07696 2.43216i 0.518049 0.138811i 0.00968516 0.999953i \(-0.496917\pi\)
0.508364 + 0.861142i \(0.330250\pi\)
\(308\) 0.887362 + 1.90295i 0.0505622 + 0.108431i
\(309\) 0.783734 + 9.30467i 0.0445851 + 0.529324i
\(310\) −4.23399 7.94313i −0.240475 0.451140i
\(311\) −3.85633 + 4.59579i −0.218672 + 0.260603i −0.864217 0.503119i \(-0.832186\pi\)
0.645545 + 0.763722i \(0.276630\pi\)
\(312\) 4.21239 + 11.6910i 0.238480 + 0.661871i
\(313\) −8.36871 + 3.90239i −0.473027 + 0.220576i −0.644488 0.764615i \(-0.722929\pi\)
0.171460 + 0.985191i \(0.445151\pi\)
\(314\) −13.9525 + 24.1664i −0.787383 + 1.36379i
\(315\) 8.34587 20.3379i 0.470236 1.14591i
\(316\) −0.591467 1.02445i −0.0332726 0.0576299i
\(317\) 26.2573 + 18.3856i 1.47476 + 1.03264i 0.987190 + 0.159551i \(0.0510047\pi\)
0.487568 + 0.873085i \(0.337884\pi\)
\(318\) −0.194613 + 0.529362i −0.0109134 + 0.0296851i
\(319\) −0.240939 0.661976i −0.0134900 0.0370635i
\(320\) −4.25153 18.3288i −0.237668 1.02461i
\(321\) −4.14274 + 15.2633i −0.231225 + 0.851913i
\(322\) 31.3321 + 2.74120i 1.74607 + 0.152761i
\(323\) 1.21756 + 1.21756i 0.0677467 + 0.0677467i
\(324\) −0.350137 1.00215i −0.0194521 0.0556751i
\(325\) 0.241032 + 12.3439i 0.0133701 + 0.684715i
\(326\) 8.59623 + 10.2446i 0.476101 + 0.567396i
\(327\) −8.84391 15.4332i −0.489069 0.853456i
\(328\) −0.557695 0.796471i −0.0307935 0.0439777i
\(329\) −36.5280 + 13.2951i −2.01386 + 0.732984i
\(330\) −21.4058 19.3592i −1.17835 1.06569i
\(331\) −5.34763 30.3279i −0.293932 1.66697i −0.671511 0.740995i \(-0.734354\pi\)
0.377579 0.925977i \(-0.376757\pi\)
\(332\) −0.00168142 0.000450535i −9.22799e−5 2.47263e-5i
\(333\) −5.15984 + 18.7702i −0.282758 + 1.02860i
\(334\) −9.51338 5.49255i −0.520549 0.300539i
\(335\) −6.39019 + 7.11182i −0.349133 + 0.388560i
\(336\) 9.05849 19.2631i 0.494181 1.05089i
\(337\) 0.275916 + 3.15374i 0.0150301 + 0.171795i 1.00000 0.000933572i \(-0.000297165\pi\)
−0.984969 + 0.172729i \(0.944742\pi\)
\(338\) 0.825351 + 9.43381i 0.0448932 + 0.513132i
\(339\) −17.9558 + 1.51242i −0.975223 + 0.0821433i
\(340\) 0.630144 0.701305i 0.0341744 0.0380336i
\(341\) 13.8033 + 7.96936i 0.747493 + 0.431565i
\(342\) 1.97373 + 0.185553i 0.106727 + 0.0100335i
\(343\) 10.3207 + 2.76542i 0.557265 + 0.149319i
\(344\) 2.93610 + 16.6514i 0.158304 + 0.897785i
\(345\) 25.7868 8.31597i 1.38831 0.447717i
\(346\) −19.7455 + 7.18679i −1.06153 + 0.386364i
\(347\) 16.7182 + 23.8760i 0.897479 + 1.28173i 0.958936 + 0.283624i \(0.0915367\pi\)
−0.0614562 + 0.998110i \(0.519574\pi\)
\(348\) 0.0133215 0.0229022i 0.000714109 0.00122768i
\(349\) −13.9918 16.6748i −0.748963 0.892579i 0.248134 0.968726i \(-0.420183\pi\)
−0.997097 + 0.0761464i \(0.975738\pi\)
\(350\) 15.5818 16.2024i 0.832882 0.866057i
\(351\) 0.994175 + 12.7920i 0.0530651 + 0.682786i
\(352\) 2.55941 + 2.55941i 0.136417 + 0.136417i
\(353\) 4.00305 + 0.350221i 0.213061 + 0.0186404i 0.193186 0.981162i \(-0.438118\pi\)
0.0198744 + 0.999802i \(0.493673\pi\)
\(354\) 6.46911 + 6.51109i 0.343829 + 0.346061i
\(355\) 4.14353 + 17.8632i 0.219916 + 0.948080i
\(356\) 0.206417 + 0.567126i 0.0109401 + 0.0300576i
\(357\) 19.9938 3.45880i 1.05818 0.183059i
\(358\) −23.7291 16.6153i −1.25412 0.878146i
\(359\) 4.90370 + 8.49346i 0.258807 + 0.448268i 0.965923 0.258831i \(-0.0833372\pi\)
−0.707115 + 0.707098i \(0.750004\pi\)
\(360\) 0.786069 19.4753i 0.0414295 1.02644i
\(361\) −9.38399 + 16.2535i −0.493894 + 0.855450i
\(362\) 12.7364 5.93907i 0.669409 0.312150i
\(363\) 31.5488 + 5.66819i 1.65588 + 0.297503i
\(364\) 0.613517 0.731161i 0.0321570 0.0383232i
\(365\) 14.2897 + 26.8080i 0.747956 + 1.40319i
\(366\) 9.61113 6.68356i 0.502382 0.349355i
\(367\) −15.6137 33.4836i −0.815027 1.74783i −0.647650 0.761938i \(-0.724248\pi\)
−0.167377 0.985893i \(-0.553530\pi\)
\(368\) 25.3415 6.79023i 1.32102 0.353965i
\(369\) −0.337248 0.945569i −0.0175564 0.0492244i
\(370\) −11.9628 + 15.9094i −0.621917 + 0.827092i
\(371\) 0.766037 0.135073i 0.0397707 0.00701264i
\(372\) 0.102184 + 0.590682i 0.00529801 + 0.0306255i
\(373\) 11.0077 23.6061i 0.569958 1.22228i −0.384276 0.923218i \(-0.625549\pi\)
0.954234 0.299061i \(-0.0966735\pi\)
\(374\) 4.62580 26.2342i 0.239194 1.35654i
\(375\) 6.94209 18.0778i 0.358488 0.933534i
\(376\) −26.4017 + 22.1537i −1.36156 + 1.14249i
\(377\) −0.226437 + 0.226437i −0.0116621 + 0.0116621i
\(378\) 15.1891 17.7490i 0.781243 0.912911i
\(379\) 25.9056i 1.33068i −0.746541 0.665340i \(-0.768287\pi\)
0.746541 0.665340i \(-0.231713\pi\)
\(380\) −0.113255 0.0575586i −0.00580985 0.00295270i
\(381\) −5.80607 21.9523i −0.297454 1.12465i
\(382\) −6.90243 + 4.83314i −0.353159 + 0.247285i
\(383\) −8.86756 4.13501i −0.453111 0.211289i 0.182645 0.983179i \(-0.441534\pi\)
−0.635757 + 0.771890i \(0.719312\pi\)
\(384\) 1.59842 17.6136i 0.0815688 0.898840i
\(385\) −8.23559 + 38.9436i −0.419725 + 1.98475i
\(386\) −7.53778 + 4.35194i −0.383663 + 0.221508i
\(387\) −1.63403 + 17.3812i −0.0830622 + 0.883535i
\(388\) 0.126993 + 0.473944i 0.00644709 + 0.0240609i
\(389\) −11.3841 4.14348i −0.577198 0.210083i 0.0368917 0.999319i \(-0.488254\pi\)
−0.614089 + 0.789236i \(0.710477\pi\)
\(390\) −3.86342 + 12.5380i −0.195632 + 0.634886i
\(391\) 19.1572 + 16.0748i 0.968823 + 0.812939i
\(392\) −10.8243 + 0.947006i −0.546711 + 0.0478310i
\(393\) 5.29181 1.90670i 0.266936 0.0961802i
\(394\) −0.159863 + 0.439219i −0.00805376 + 0.0221275i
\(395\) 2.70995 22.2613i 0.136352 1.12009i
\(396\) 0.950270 + 1.67078i 0.0477529 + 0.0839601i
\(397\) 3.07416 11.4729i 0.154288 0.575810i −0.844878 0.534960i \(-0.820327\pi\)
0.999165 0.0408499i \(-0.0130066\pi\)
\(398\) 16.0780 22.9617i 0.805917 1.15097i
\(399\) −1.14746 2.48167i −0.0574451 0.124239i
\(400\) 7.59120 17.1456i 0.379560 0.857279i
\(401\) −31.8998 5.62479i −1.59300 0.280889i −0.694377 0.719612i \(-0.744320\pi\)
−0.898622 + 0.438723i \(0.855431\pi\)
\(402\) −8.81520 + 5.05151i −0.439662 + 0.251947i
\(403\) 0.631475 7.21779i 0.0314560 0.359544i
\(404\) 0.933850 0.0464608
\(405\) 6.11252 19.1739i 0.303734 0.952757i
\(406\) 0.583053 0.0289364
\(407\) 3.07200 35.1131i 0.152273 1.74049i
\(408\) 15.6090 8.94464i 0.772758 0.442826i
\(409\) −4.62791 0.816026i −0.228836 0.0403499i 0.0580544 0.998313i \(-0.481510\pi\)
−0.286890 + 0.957964i \(0.592621\pi\)
\(410\) 0.0347634 1.02595i 0.00171684 0.0506680i
\(411\) 3.42030 + 7.39722i 0.168711 + 0.364878i
\(412\) 0.364727 0.520884i 0.0179688 0.0256621i
\(413\) 3.27629 12.2273i 0.161216 0.601666i
\(414\) 28.7914 + 0.186261i 1.41502 + 0.00915425i
\(415\) −0.0203439 0.0259835i −0.000998641 0.00127548i
\(416\) 0.562747 1.54613i 0.0275909 0.0758055i
\(417\) −18.7864 + 6.76895i −0.919973 + 0.331477i
\(418\) −3.57585 + 0.312846i −0.174900 + 0.0153018i
\(419\) 16.7939 + 14.0917i 0.820435 + 0.688427i 0.953074 0.302737i \(-0.0979005\pi\)
−0.132639 + 0.991164i \(0.542345\pi\)
\(420\) −1.32337 + 0.699920i −0.0645739 + 0.0341526i
\(421\) 26.6703 + 9.70721i 1.29983 + 0.473101i 0.896942 0.442148i \(-0.145783\pi\)
0.402891 + 0.915248i \(0.368005\pi\)
\(422\) 2.07311 + 7.73694i 0.100917 + 0.376628i
\(423\) −32.3476 + 14.8299i −1.57280 + 0.721057i
\(424\) 0.597264 0.344831i 0.0290057 0.0167465i
\(425\) 17.5382 3.44678i 0.850726 0.167193i
\(426\) −1.76113 + 19.4066i −0.0853270 + 0.940253i
\(427\) −14.6327 6.82332i −0.708124 0.330204i
\(428\) 0.882242 0.617752i 0.0426448 0.0298602i
\(429\) −5.94021 22.4595i −0.286796 1.08436i
\(430\) −8.08784 + 15.9140i −0.390030 + 0.767440i
\(431\) 34.6874i 1.67083i −0.549617 0.835417i \(-0.685226\pi\)
0.549617 0.835417i \(-0.314774\pi\)
\(432\) 6.84216 18.2458i 0.329194 0.877852i
\(433\) −3.65895 + 3.65895i −0.175838 + 0.175838i −0.789539 0.613701i \(-0.789680\pi\)
0.613701 + 0.789539i \(0.289680\pi\)
\(434\) −10.1055 + 8.47955i −0.485081 + 0.407031i
\(435\) 0.462780 0.195238i 0.0221886 0.00936096i
\(436\) −0.210342 + 1.19291i −0.0100736 + 0.0571301i
\(437\) 1.42412 3.05403i 0.0681247 0.146094i
\(438\) 5.50284 + 31.8095i 0.262936 + 1.51992i
\(439\) 30.7144 5.41577i 1.46592 0.258481i 0.616982 0.786977i \(-0.288355\pi\)
0.848935 + 0.528496i \(0.177244\pi\)
\(440\) 4.94785 + 34.9433i 0.235880 + 1.66585i
\(441\) −11.0355 2.01956i −0.525501 0.0961694i
\(442\) −11.6968 + 3.13414i −0.556359 + 0.149076i
\(443\) 13.1309 + 28.1594i 0.623869 + 1.33789i 0.923413 + 0.383809i \(0.125388\pi\)
−0.299544 + 0.954083i \(0.596834\pi\)
\(444\) 1.08836 0.756844i 0.0516514 0.0359182i
\(445\) −3.33380 + 10.9449i −0.158037 + 0.518838i
\(446\) 17.2549 20.5636i 0.817042 0.973712i
\(447\) 19.0580 + 3.42403i 0.901411 + 0.161951i
\(448\) −24.9919 + 11.6539i −1.18075 + 0.550595i
\(449\) −5.46364 + 9.46330i −0.257845 + 0.446601i −0.965664 0.259793i \(-0.916346\pi\)
0.707819 + 0.706394i \(0.249679\pi\)
\(450\) 13.0205 15.9351i 0.613791 0.751189i
\(451\) 0.908870 + 1.57421i 0.0427970 + 0.0741266i
\(452\) 1.00518 + 0.703835i 0.0472797 + 0.0331056i
\(453\) −19.9921 + 3.45850i −0.939310 + 0.162495i
\(454\) 4.69114 + 12.8888i 0.220166 + 0.604902i
\(455\) 17.6264 4.08860i 0.826337 0.191676i
\(456\) −1.70856 1.71964i −0.0800105 0.0805297i
\(457\) −25.8119 2.25825i −1.20743 0.105637i −0.534388 0.845239i \(-0.679458\pi\)
−0.673044 + 0.739603i \(0.735013\pi\)
\(458\) −12.2631 12.2631i −0.573017 0.573017i
\(459\) 17.9877 4.63319i 0.839595 0.216259i
\(460\) −1.71147 0.689418i −0.0797976 0.0321443i
\(461\) −10.5103 12.5256i −0.489512 0.583377i 0.463582 0.886054i \(-0.346564\pi\)
−0.953093 + 0.302677i \(0.902120\pi\)
\(462\) −21.2678 + 36.5632i −0.989467 + 1.70108i
\(463\) −0.681583 0.973401i −0.0316758 0.0452378i 0.803002 0.595977i \(-0.203235\pi\)
−0.834678 + 0.550739i \(0.814346\pi\)
\(464\) 0.457022 0.166342i 0.0212167 0.00772225i
\(465\) −5.18153 + 10.1143i −0.240288 + 0.469038i
\(466\) −0.361759 2.05164i −0.0167582 0.0950403i
\(467\) −15.4210 4.13206i −0.713601 0.191209i −0.116286 0.993216i \(-0.537099\pi\)
−0.597315 + 0.802007i \(0.703766\pi\)
\(468\) 0.505781 0.712475i 0.0233797 0.0329342i
\(469\) 12.1351 + 7.00619i 0.560345 + 0.323516i
\(470\) −36.3352 + 1.94197i −1.67602 + 0.0895765i
\(471\) 35.1067 2.95705i 1.61763 0.136254i
\(472\) −0.978183 11.1807i −0.0450245 0.514632i
\(473\) −2.75501 31.4899i −0.126675 1.44791i
\(474\) 10.1411 21.5652i 0.465795 0.990523i
\(475\) −1.06026 2.16248i −0.0486481 0.0992213i
\(476\) −1.19665 0.690889i −0.0548486 0.0316668i
\(477\) 0.688989 0.179845i 0.0315467 0.00823454i
\(478\) −26.5130 7.10415i −1.21268 0.324936i
\(479\) 1.29177 + 7.32601i 0.0590226 + 0.334734i 0.999993 0.00375516i \(-0.00119531\pi\)
−0.940970 + 0.338489i \(0.890084\pi\)
\(480\) −1.73106 + 1.91406i −0.0790118 + 0.0873643i
\(481\) −15.0563 + 5.48003i −0.686506 + 0.249868i
\(482\) 8.30172 + 11.8561i 0.378133 + 0.540030i
\(483\) −19.7432 34.4532i −0.898348 1.56767i
\(484\) −1.40310 1.67215i −0.0637774 0.0760069i
\(485\) −3.47559 + 8.62809i −0.157818 + 0.391782i
\(486\) 12.5479 17.3173i 0.569184 0.785528i
\(487\) 13.2649 + 13.2649i 0.601090 + 0.601090i 0.940602 0.339512i \(-0.110262\pi\)
−0.339512 + 0.940602i \(0.610262\pi\)
\(488\) −14.2603 1.24762i −0.645534 0.0564769i
\(489\) 4.42274 16.2949i 0.200003 0.736879i
\(490\) −9.73480 6.06897i −0.439773 0.274168i
\(491\) 12.3391 + 33.9013i 0.556855 + 1.52995i 0.824173 + 0.566337i \(0.191640\pi\)
−0.267319 + 0.963608i \(0.586138\pi\)
\(492\) −0.0235900 + 0.0641664i −0.00106352 + 0.00289284i
\(493\) 0.379757 + 0.265909i 0.0171034 + 0.0119759i
\(494\) 0.815851 + 1.41310i 0.0367069 + 0.0635782i
\(495\) −4.63723 + 36.1425i −0.208428 + 1.62449i
\(496\) −5.50198 + 9.52970i −0.247046 + 0.427896i
\(497\) 24.3570 11.3579i 1.09256 0.509470i
\(498\) −0.0118872 0.0329915i −0.000532679 0.00147838i
\(499\) −20.6192 + 24.5730i −0.923042 + 1.10004i 0.0716800 + 0.997428i \(0.477164\pi\)
−0.994722 + 0.102610i \(0.967280\pi\)
\(500\) −1.15140 + 0.642912i −0.0514920 + 0.0287519i
\(501\) 1.16408 + 13.8202i 0.0520072 + 0.617441i
\(502\) 5.98736 + 12.8399i 0.267229 + 0.573074i
\(503\) −34.1605 + 9.15328i −1.52314 + 0.408124i −0.920775 0.390095i \(-0.872442\pi\)
−0.602367 + 0.798220i \(0.705775\pi\)
\(504\) −28.1633 + 4.77831i −1.25449 + 0.212843i
\(505\) 14.1497 + 10.6396i 0.629655 + 0.473458i
\(506\) −51.3405 + 9.05272i −2.28237 + 0.402443i
\(507\) 9.18368 7.65554i 0.407862 0.339994i
\(508\) −0.653509 + 1.40145i −0.0289948 + 0.0621795i
\(509\) −3.11515 + 17.6669i −0.138077 + 0.783072i 0.834591 + 0.550870i \(0.185704\pi\)
−0.972668 + 0.232202i \(0.925407\pi\)
\(510\) 18.8468 + 2.35618i 0.834548 + 0.104333i
\(511\) 34.1061 28.6184i 1.50876 1.26600i
\(512\) −17.1769 + 17.1769i −0.759118 + 0.759118i
\(513\) −1.23036 2.17962i −0.0543216 0.0962324i
\(514\) 21.1848i 0.934420i
\(515\) 11.4609 3.73701i 0.505030 0.164672i
\(516\) 0.843365 0.837926i 0.0371271 0.0368876i
\(517\) 52.7799 36.9569i 2.32126 1.62536i
\(518\) 26.4394 + 12.3289i 1.16168 + 0.541701i
\(519\) 21.6823 + 15.2869i 0.951748 + 0.671020i
\(520\) 13.4456 8.75147i 0.589628 0.383777i
\(521\) 5.38399 3.10845i 0.235877 0.136184i −0.377403 0.926049i \(-0.623183\pi\)
0.613280 + 0.789865i \(0.289850\pi\)
\(522\) 0.532005 0.0430783i 0.0232852 0.00188549i
\(523\) 11.0715 + 41.3195i 0.484124 + 1.80677i 0.583975 + 0.811771i \(0.301497\pi\)
−0.0998516 + 0.995002i \(0.531837\pi\)
\(524\) −0.359944 0.131009i −0.0157242 0.00572316i
\(525\) −28.0262 4.47236i −1.22316 0.195190i
\(526\) −14.3085 12.0063i −0.623881 0.523499i
\(527\) −10.4492 + 0.914187i −0.455174 + 0.0398226i
\(528\) −6.23927 + 34.7274i −0.271529 + 1.51132i
\(529\) 8.87229 24.3764i 0.385752 1.05984i
\(530\) 0.722787 + 0.0879876i 0.0313959 + 0.00382194i
\(531\) 2.08604 11.3988i 0.0905266 0.494667i
\(532\) −0.0481895 + 0.179846i −0.00208928 + 0.00779730i
\(533\) 0.473947 0.676866i 0.0205289 0.0293183i
\(534\) −7.00584 + 9.93681i −0.303172 + 0.430008i
\(535\) 20.4060 + 0.691441i 0.882229 + 0.0298936i
\(536\) 12.2349 + 2.15734i 0.528467 + 0.0931830i
\(537\) −0.118300 + 36.5729i −0.00510502 + 1.57824i
\(538\) 1.38717 15.8554i 0.0598052 0.683576i
\(539\) 20.3134 0.874961
\(540\) −1.15579 + 0.736417i −0.0497375 + 0.0316903i
\(541\) 16.3822 0.704326 0.352163 0.935939i \(-0.385446\pi\)
0.352163 + 0.935939i \(0.385446\pi\)
\(542\) 1.26015 14.4036i 0.0541281 0.618687i
\(543\) −15.3367 8.92091i −0.658160 0.382833i
\(544\) −2.34581 0.413629i −0.100576 0.0177342i
\(545\) −16.7783 + 15.6785i −0.718704 + 0.671595i
\(546\) 19.1493 + 1.73778i 0.819515 + 0.0743702i
\(547\) −12.1838 + 17.4002i −0.520940 + 0.743980i −0.990288 0.139034i \(-0.955600\pi\)
0.469347 + 0.883014i \(0.344489\pi\)
\(548\) 0.143641 0.536074i 0.00613602 0.0228999i
\(549\) −13.8557 5.14481i −0.591346 0.219575i
\(550\) −17.9965 + 32.6257i −0.767374 + 1.39116i
\(551\) 0.0213654 0.0587010i 0.000910198 0.00250075i
\(552\) −26.8967 22.7177i −1.14480 0.966928i
\(553\) −32.7415 + 2.86451i −1.39231 + 0.121811i
\(554\) 17.4180 + 14.6154i 0.740019 + 0.620950i
\(555\) 25.1139 + 0.932299i 1.06602 + 0.0395739i
\(556\) 1.27783 + 0.465094i 0.0541923 + 0.0197244i
\(557\) 4.42599 + 16.5180i 0.187535 + 0.699891i 0.994074 + 0.108709i \(0.0346718\pi\)
−0.806538 + 0.591182i \(0.798662\pi\)
\(558\) −8.59427 + 8.48379i −0.363824 + 0.359147i
\(559\) −12.4441 + 7.18460i −0.526329 + 0.303876i
\(560\) −26.8863 5.68578i −1.13616 0.240268i
\(561\) −30.5274 + 14.1151i −1.28887 + 0.595941i
\(562\) 14.6333 + 6.82364i 0.617270 + 0.287838i
\(563\) 35.9806 25.1939i 1.51640 1.06180i 0.541088 0.840966i \(-0.318013\pi\)
0.975313 0.220829i \(-0.0708763\pi\)
\(564\) 2.33869 + 0.634765i 0.0984767 + 0.0267284i
\(565\) 7.21153 + 22.1169i 0.303391 + 0.930463i
\(566\) 10.0413i 0.422067i
\(567\) −29.3462 2.95052i −1.23243 0.123910i
\(568\) 16.8489 16.8489i 0.706963 0.706963i
\(569\) −31.1911 + 26.1725i −1.30760 + 1.09721i −0.318823 + 0.947814i \(0.603288\pi\)
−0.988778 + 0.149393i \(0.952268\pi\)
\(570\) −0.350612 2.53518i −0.0146855 0.106187i
\(571\) 6.97321 39.5470i 0.291820 1.65499i −0.388035 0.921645i \(-0.626846\pi\)
0.679855 0.733347i \(-0.262043\pi\)
\(572\) −0.668607 + 1.43383i −0.0279559 + 0.0599515i
\(573\) 9.98516 + 3.67092i 0.417136 + 0.153355i
\(574\) −1.48161 + 0.261248i −0.0618414 + 0.0109043i
\(575\) −18.0775 29.9454i −0.753884 1.24881i
\(576\) −21.9427 + 12.4801i −0.914281 + 0.520003i
\(577\) 11.2139 3.00476i 0.466841 0.125090i −0.0177276 0.999843i \(-0.505643\pi\)
0.484569 + 0.874753i \(0.338976\pi\)
\(578\) −2.44743 5.24854i −0.101800 0.218311i
\(579\) 9.94434 + 4.67634i 0.413273 + 0.194342i
\(580\) −0.0327203 0.00996658i −0.00135864 0.000413840i
\(581\) −0.0310880 + 0.0370492i −0.00128975 + 0.00153706i
\(582\) −6.37815 + 7.55144i −0.264383 + 0.313017i
\(583\) −1.16852 + 0.544892i −0.0483953 + 0.0225671i
\(584\) 19.7372 34.1858i 0.816730 1.41462i
\(585\) 15.7811 5.03294i 0.652467 0.208086i
\(586\) 5.45534 + 9.44893i 0.225358 + 0.390332i
\(587\) −34.5111 24.1649i −1.42442 0.997393i −0.995570 0.0940196i \(-0.970028\pi\)
−0.428855 0.903374i \(-0.641083\pi\)
\(588\) 0.489187 + 0.586834i 0.0201737 + 0.0242006i
\(589\) 0.483403 + 1.32814i 0.0199183 + 0.0547250i
\(590\) 6.26877 10.0553i 0.258081 0.413969i
\(591\) 0.570503 0.150890i 0.0234674 0.00620677i
\(592\) 24.2418 + 2.12088i 0.996330 + 0.0871676i
\(593\) 10.2163 + 10.2163i 0.419534 + 0.419534i 0.885043 0.465509i \(-0.154129\pi\)
−0.465509 + 0.885043i \(0.654129\pi\)
\(594\) −16.7043 + 34.9334i −0.685386 + 1.43333i
\(595\) −10.2603 24.1022i −0.420629 0.988095i
\(596\) −0.847584 1.01011i −0.0347184 0.0413758i
\(597\) −35.3902 0.114474i −1.44843 0.00468513i
\(598\) 13.5927 + 19.4124i 0.555848 + 0.793833i
\(599\) 4.58046 1.66715i 0.187153 0.0681180i −0.246744 0.969081i \(-0.579361\pi\)
0.433896 + 0.900963i \(0.357138\pi\)
\(600\) −24.7062 + 4.77257i −1.00863 + 0.194839i
\(601\) −6.94695 39.3981i −0.283372 1.60708i −0.711043 0.703149i \(-0.751777\pi\)
0.427671 0.903935i \(-0.359334\pi\)
\(602\) 25.2710 + 6.77134i 1.02997 + 0.275979i
\(603\) 11.5903 + 5.49619i 0.471992 + 0.223822i
\(604\) 1.19655 + 0.690830i 0.0486871 + 0.0281095i
\(605\) −2.20852 41.3225i −0.0897893 1.68000i
\(606\) 10.7407 + 15.4453i 0.436309 + 0.627424i
\(607\) −0.829363 9.47967i −0.0336628 0.384768i −0.994273 0.106869i \(-0.965917\pi\)
0.960610 0.277899i \(-0.0896381\pi\)
\(608\) 0.0279740 + 0.319745i 0.00113450 + 0.0129674i
\(609\) −0.420273 0.604363i −0.0170303 0.0244900i
\(610\) −11.2417 10.1010i −0.455163 0.408978i
\(611\) −25.3654 14.6447i −1.02617 0.592461i
\(612\) −1.14293 0.541986i −0.0462002 0.0219085i
\(613\) −19.5042 5.22613i −0.787766 0.211081i −0.157560 0.987509i \(-0.550363\pi\)
−0.630206 + 0.776428i \(0.717029\pi\)
\(614\) −2.23863 12.6959i −0.0903437 0.512365i
\(615\) −1.08850 + 0.703484i −0.0438927 + 0.0283672i
\(616\) 48.6037 17.6903i 1.95830 0.712762i
\(617\) −17.1129 24.4398i −0.688940 0.983908i −0.999444 0.0333358i \(-0.989387\pi\)
0.310505 0.950572i \(-0.399502\pi\)
\(618\) 12.8100 + 0.0414357i 0.515294 + 0.00166679i
\(619\) −1.44832 1.72604i −0.0582129 0.0693754i 0.736152 0.676816i \(-0.236641\pi\)
−0.794365 + 0.607441i \(0.792196\pi\)
\(620\) 0.712060 0.303122i 0.0285970 0.0121737i
\(621\) −20.5602 29.9780i −0.825053 1.20298i
\(622\) 5.81978 + 5.81978i 0.233352 + 0.233352i
\(623\) 16.7044 + 1.46145i 0.669249 + 0.0585517i
\(624\) 15.5058 4.10107i 0.620730 0.164174i
\(625\) −24.7709 3.37677i −0.990836 0.135071i
\(626\) 4.33261 + 11.9038i 0.173166 + 0.475770i
\(627\) 2.90180 + 3.48104i 0.115887 + 0.139019i
\(628\) −1.96531 1.37612i −0.0784243 0.0549133i
\(629\) 11.5979 + 20.0882i 0.462439 + 0.800968i
\(630\) −26.7970 13.8377i −1.06762 0.551306i
\(631\) −10.8829 + 18.8498i −0.433243 + 0.750399i −0.997150 0.0754390i \(-0.975964\pi\)
0.563907 + 0.825838i \(0.309298\pi\)
\(632\) −26.4099 + 12.3151i −1.05053 + 0.489870i
\(633\) 6.52539 7.72577i 0.259361 0.307072i
\(634\) 28.2663 33.6864i 1.12260 1.33786i
\(635\) −25.8692 + 13.7893i −1.02659 + 0.547210i
\(636\) −0.0438817 0.0206355i −0.00174002 0.000818249i
\(637\) −3.90245 8.36884i −0.154621 0.331585i
\(638\) −0.933502 + 0.250131i −0.0369577 + 0.00990279i
\(639\) 21.3854 12.1631i 0.845991 0.481163i
\(640\) −22.6070 + 3.20108i −0.893619 + 0.126534i
\(641\) −15.8779 + 2.79971i −0.627141 + 0.110582i −0.478181 0.878261i \(-0.658704\pi\)
−0.148960 + 0.988843i \(0.547593\pi\)
\(642\) 20.3643 + 7.48670i 0.803716 + 0.295476i
\(643\) 6.92110 14.8423i 0.272941 0.585325i −0.721284 0.692640i \(-0.756448\pi\)
0.994225 + 0.107315i \(0.0342254\pi\)
\(644\) −0.469571 + 2.66307i −0.0185037 + 0.104940i
\(645\) 22.3255 3.08758i 0.879064 0.121573i
\(646\) 1.80956 1.51841i 0.0711964 0.0597408i
\(647\) 11.6159 11.6159i 0.456669 0.456669i −0.440892 0.897560i \(-0.645338\pi\)
0.897560 + 0.440892i \(0.145338\pi\)
\(648\) −25.3445 + 6.44078i −0.995628 + 0.253018i
\(649\) 20.9822i 0.823622i
\(650\) 16.8987 + 1.14651i 0.662820 + 0.0449699i
\(651\) 16.0737 + 4.36270i 0.629977 + 0.170988i
\(652\) −0.941869 + 0.659504i −0.0368864 + 0.0258282i
\(653\) 40.4576 + 18.8657i 1.58323 + 0.738271i 0.997393 0.0721611i \(-0.0229896\pi\)
0.585833 + 0.810432i \(0.300767\pi\)
\(654\) −22.1493 + 10.2413i −0.866106 + 0.400466i
\(655\) −3.96127 6.08601i −0.154780 0.237800i
\(656\) −1.08682 + 0.627476i −0.0424332 + 0.0244988i
\(657\) 29.0056 28.6327i 1.13162 1.11707i
\(658\) 13.8023 + 51.5110i 0.538071 + 2.00811i
\(659\) 0.617551 + 0.224770i 0.0240564 + 0.00875580i 0.354020 0.935238i \(-0.384814\pi\)
−0.329964 + 0.943994i \(0.607037\pi\)
\(660\) 1.81853 1.68834i 0.0707862 0.0657187i
\(661\) 29.7997 + 25.0049i 1.15907 + 0.972578i 0.999892 0.0146714i \(-0.00467022\pi\)
0.159181 + 0.987249i \(0.449115\pi\)
\(662\) −42.0873 + 3.68216i −1.63577 + 0.143111i
\(663\) 11.6799 + 9.86516i 0.453610 + 0.383131i
\(664\) −0.0146661 + 0.0402948i −0.000569155 + 0.00156374i
\(665\) −2.77921 + 2.17599i −0.107773 + 0.0843814i
\(666\) 25.0355 + 9.29604i 0.970107 + 0.360214i
\(667\) 0.234817 0.876351i 0.00909217 0.0339324i
\(668\) 0.541728 0.773667i 0.0209601 0.0299341i
\(669\) −33.7527 3.06302i −1.30495 0.118423i
\(670\) 8.95536 + 9.58354i 0.345976 + 0.370244i
\(671\) 26.3550 + 4.64710i 1.01742 + 0.179399i
\(672\) 3.26940 + 1.90172i 0.126120 + 0.0733604i
\(673\) −0.350216 + 4.00299i −0.0134998 + 0.154304i −0.999953 0.00974205i \(-0.996899\pi\)
0.986453 + 0.164046i \(0.0524545\pi\)
\(674\) 4.34307 0.167289
\(675\) −25.9029 2.01010i −0.997003 0.0773689i
\(676\) −0.814194 −0.0313152
\(677\) −2.56187 + 29.2823i −0.0984607 + 1.12541i 0.772820 + 0.634626i \(0.218846\pi\)
−0.871280 + 0.490786i \(0.836710\pi\)
\(678\) −0.0799609 + 24.7202i −0.00307088 + 0.949374i
\(679\) 13.4254 + 2.36727i 0.515221 + 0.0908473i
\(680\) −15.8571 16.9694i −0.608093 0.650748i
\(681\) 9.97844 14.1530i 0.382375 0.542346i
\(682\) 12.5418 17.9116i 0.480251 0.685869i
\(683\) 1.99616 7.44976i 0.0763808 0.285057i −0.917162 0.398515i \(-0.869526\pi\)
0.993543 + 0.113457i \(0.0361925\pi\)
\(684\) −0.0306827 + 0.167660i −0.00117318 + 0.00641065i
\(685\) 8.28411 6.48608i 0.316519 0.247820i
\(686\) 5.01340 13.7742i 0.191412 0.525901i
\(687\) −3.87189 + 21.5507i −0.147722 + 0.822211i
\(688\) 21.7403 1.90203i 0.828841 0.0725142i
\(689\) 0.448975 + 0.376735i 0.0171046 + 0.0143525i
\(690\) −8.28184 36.2360i −0.315284 1.37948i
\(691\) −32.4494 11.8106i −1.23443 0.449297i −0.359320 0.933215i \(-0.616991\pi\)
−0.875114 + 0.483918i \(0.839213\pi\)
\(692\) −0.467589 1.74507i −0.0177751 0.0663375i
\(693\) 53.2297 4.31019i 2.02203 0.163731i
\(694\) 34.6293 19.9933i 1.31451 0.758933i
\(695\) 14.0629 + 21.6059i 0.533434 + 0.819558i
\(696\) −0.533418 0.376081i −0.0202192 0.0142553i
\(697\) −1.08416 0.505551i −0.0410654 0.0191491i
\(698\) −24.4616 + 17.1282i −0.925887 + 0.648313i
\(699\) −1.86586 + 1.85383i −0.0705734 + 0.0701183i
\(700\) 1.27098 + 1.45600i 0.0480387 + 0.0550316i
\(701\) 2.02183i 0.0763636i −0.999271 0.0381818i \(-0.987843\pi\)
0.999271 0.0381818i \(-0.0121566\pi\)
\(702\) 17.6011 + 0.170805i 0.664313 + 0.00644660i
\(703\) 2.21011 2.21011i 0.0833558 0.0833558i
\(704\) 35.0139 29.3802i 1.31964 1.10731i
\(705\) 28.2039 + 36.2634i 1.06222 + 1.36576i
\(706\) 0.957265 5.42892i 0.0360272 0.204320i
\(707\) 10.9653 23.5151i 0.412391 0.884375i
\(708\) −0.606154 + 0.505291i −0.0227807 + 0.0189900i
\(709\) −0.162501 + 0.0286532i −0.00610284 + 0.00107609i −0.176699 0.984265i \(-0.556542\pi\)
0.170596 + 0.985341i \(0.445431\pi\)
\(710\) 24.9083 3.52694i 0.934792 0.132364i
\(711\) −29.6632 + 5.03279i −1.11246 + 0.188744i
\(712\) 14.3605 3.84787i 0.538181 0.144205i
\(713\) 8.67521 + 18.6040i 0.324889 + 0.696727i
\(714\) −2.33639 27.7382i −0.0874373 1.03808i
\(715\) −26.4669 + 14.1078i −0.989804 + 0.527604i
\(716\) 1.60092 1.90790i 0.0598292 0.0713017i
\(717\) 11.7472 + 32.6028i 0.438706 + 1.21758i
\(718\) 12.1940 5.68614i 0.455075 0.212205i
\(719\) −0.704484 + 1.22020i −0.0262728 + 0.0455059i −0.878863 0.477074i \(-0.841697\pi\)
0.852590 + 0.522580i \(0.175031\pi\)
\(720\) −24.9525 3.20150i −0.929924 0.119313i
\(721\) −8.83364 15.3003i −0.328982 0.569813i
\(722\) 21.0910 + 14.7681i 0.784926 + 0.549611i
\(723\) 6.30542 17.1512i 0.234501 0.637859i
\(724\) 0.413244 + 1.13538i 0.0153581 + 0.0421960i
\(725\) −0.382228 0.523807i −0.0141956 0.0194537i
\(726\) 11.5187 42.4387i 0.427498 1.57505i
\(727\) −32.9194 2.88007i −1.22091 0.106816i −0.541581 0.840648i \(-0.682174\pi\)
−0.679330 + 0.733832i \(0.737730\pi\)
\(728\) −16.6255 16.6255i −0.616182 0.616182i
\(729\) −26.9949 0.523976i −0.999812 0.0194065i
\(730\) 38.3459 16.3238i 1.41925 0.604169i
\(731\) 13.3715 + 15.9355i 0.494562 + 0.589396i
\(732\) 0.500429 + 0.873280i 0.0184964 + 0.0322774i
\(733\) −8.49132 12.1269i −0.313634 0.447916i 0.631125 0.775681i \(-0.282593\pi\)
−0.944759 + 0.327765i \(0.893705\pi\)
\(734\) −47.6275 + 17.3350i −1.75796 + 0.639847i
\(735\) 0.726192 + 14.4652i 0.0267860 + 0.533557i
\(736\) 0.809475 + 4.59076i 0.0298376 + 0.169218i
\(737\) −22.4346 6.01134i −0.826391 0.221431i
\(738\) −1.33259 + 0.347843i −0.0490534 + 0.0128043i
\(739\) −10.7323 6.19632i −0.394796 0.227935i 0.289440 0.957196i \(-0.406531\pi\)
−0.684236 + 0.729261i \(0.739864\pi\)
\(740\) −1.27301 1.14384i −0.0467967 0.0420482i
\(741\) 0.876666 1.86425i 0.0322051 0.0684849i
\(742\) −0.0930058 1.06306i −0.00341435 0.0390262i
\(743\) −0.328934 3.75974i −0.0120674 0.137931i 0.987771 0.155912i \(-0.0498317\pi\)
−0.999838 + 0.0179809i \(0.994276\pi\)
\(744\) 14.7147 1.23943i 0.539469 0.0454395i
\(745\) −1.33412 24.9621i −0.0488785 0.914539i
\(746\) −30.9454 17.8663i −1.13299 0.654132i
\(747\) −0.0256288 + 0.0361024i −0.000937710 + 0.00132092i
\(748\) 2.21231 + 0.592786i 0.0808900 + 0.0216744i
\(749\) −5.19621 29.4692i −0.189865 1.07678i
\(750\) −23.8761 11.6490i −0.871833 0.425360i
\(751\) −11.6339 + 4.23440i −0.424528 + 0.154516i −0.545444 0.838147i \(-0.683639\pi\)
0.120916 + 0.992663i \(0.461417\pi\)
\(752\) 25.5147 + 36.4388i 0.930426 + 1.32879i
\(753\) 8.99345 15.4614i 0.327739 0.563444i
\(754\) 0.282387 + 0.336536i 0.0102839 + 0.0122559i
\(755\) 10.2594 + 24.1002i 0.373377 + 0.877096i
\(756\) 1.40639 + 1.43395i 0.0511500 + 0.0521524i
\(757\) 14.6821 + 14.6821i 0.533632 + 0.533632i 0.921651 0.388019i \(-0.126841\pi\)
−0.388019 + 0.921651i \(0.626841\pi\)
\(758\) −35.4040 3.09745i −1.28593 0.112505i
\(759\) 46.3906 + 46.6917i 1.68387 + 1.69480i
\(760\) −1.65564 + 2.65570i −0.0600565 + 0.0963324i
\(761\) −0.142795 0.392327i −0.00517632 0.0142218i 0.937078 0.349121i \(-0.113520\pi\)
−0.942254 + 0.334899i \(0.891298\pi\)
\(762\) −30.6955 + 5.31013i −1.11198 + 0.192366i
\(763\) 27.5686 + 19.3037i 0.998050 + 0.698842i
\(764\) −0.362237 0.627413i −0.0131053 0.0226990i
\(765\) −11.1427 21.2340i −0.402866 0.767715i
\(766\) −6.71141 + 11.6245i −0.242493 + 0.420010i
\(767\) 8.64435 4.03093i 0.312129 0.145548i
\(768\) 4.80874 + 0.863958i 0.173520 + 0.0311754i
\(769\) −11.9703 + 14.2656i −0.431660 + 0.514432i −0.937400 0.348254i \(-0.886775\pi\)
0.505741 + 0.862685i \(0.331219\pi\)
\(770\) 52.2379 + 15.9116i 1.88252