Properties

Label 588.2.ba.b.187.3
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.3
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33511 - 0.466348i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.56504 + 1.24525i) q^{4} +(2.58391 - 1.01411i) q^{5} +(1.25069 + 0.660127i) q^{6} +(1.51456 - 2.16936i) q^{7} +(-1.50878 - 2.39240i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(-1.33511 - 0.466348i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.56504 + 1.24525i) q^{4} +(2.58391 - 1.01411i) q^{5} +(1.25069 + 0.660127i) q^{6} +(1.51456 - 2.16936i) q^{7} +(-1.50878 - 2.39240i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-3.92273 + 0.148948i) q^{10} +(-1.46471 - 4.74848i) q^{11} +(-1.36196 - 1.46460i) q^{12} +(1.62731 + 0.371422i) q^{13} +(-3.03378 + 2.19002i) q^{14} +(-2.70619 + 0.617671i) q^{15} +(0.898697 + 3.89774i) q^{16} +(-1.65529 + 2.42786i) q^{17} +(-1.13834 - 0.839160i) q^{18} +(0.522408 - 0.904838i) q^{19} +(5.30674 + 1.63050i) q^{20} +(-1.82097 + 1.91940i) q^{21} +(-0.258891 + 7.02281i) q^{22} +(-0.413634 - 0.606690i) q^{23} +(1.13536 + 2.59055i) q^{24} +(1.98290 - 1.83987i) q^{25} +(-1.99942 - 1.25478i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(5.07174 - 1.50913i) q^{28} +(3.85385 - 1.85591i) q^{29} +(3.90112 + 0.437368i) q^{30} +(0.702049 + 1.21599i) q^{31} +(0.617842 - 5.62301i) q^{32} +(0.740628 + 4.91375i) q^{33} +(3.34222 - 2.46953i) q^{34} +(1.71351 - 7.14135i) q^{35} +(1.12846 + 1.65123i) q^{36} +(-0.131088 + 1.74925i) q^{37} +(-1.11944 + 0.964434i) q^{38} +(-1.55377 - 0.609811i) q^{39} +(-6.32470 - 4.65168i) q^{40} +(-4.25079 - 3.38989i) q^{41} +(3.32630 - 1.71340i) q^{42} +(-7.54761 + 6.01902i) q^{43} +(3.62072 - 9.25550i) q^{44} +(2.76803 - 0.207435i) q^{45} +(0.269319 + 1.00290i) q^{46} +(-1.55491 - 1.44274i) q^{47} +(-0.307731 - 3.98815i) q^{48} +(-2.41223 - 6.57123i) q^{49} +(-3.50541 + 1.53170i) q^{50} +(1.99866 - 2.15404i) q^{51} +(2.08429 + 2.60770i) q^{52} +(-0.844926 - 11.2748i) q^{53} +(1.00055 + 0.999448i) q^{54} +(-8.60016 - 10.7843i) q^{55} +(-7.47511 - 0.350343i) q^{56} +(-0.651432 + 0.816870i) q^{57} +(-6.01081 + 0.680618i) q^{58} +(2.28926 - 5.83295i) q^{59} +(-5.00445 - 2.40321i) q^{60} +(14.9255 + 1.11851i) q^{61} +(-0.370241 - 1.95087i) q^{62} +(2.08670 - 1.62656i) q^{63} +(-3.44717 + 7.21921i) q^{64} +(4.58148 - 0.690546i) q^{65} +(1.30270 - 6.90579i) q^{66} +(-0.627522 + 0.362300i) q^{67} +(-5.61389 + 1.73845i) q^{68} +(0.318592 + 0.661563i) q^{69} +(-5.61808 + 8.73540i) q^{70} +(-1.13149 + 2.34957i) q^{71} +(-0.736576 - 2.73083i) q^{72} +(-7.13580 - 7.69056i) q^{73} +(0.990775 - 2.27431i) q^{74} +(-2.23498 + 1.52378i) q^{75} +(1.94434 - 0.765577i) q^{76} +(-12.5195 - 4.01436i) q^{77} +(1.79008 + 1.53876i) q^{78} +(13.9173 + 8.03517i) q^{79} +(6.27488 + 9.16002i) q^{80} +(0.826239 + 0.563320i) q^{81} +(4.09440 + 6.50823i) q^{82} +(0.263097 + 1.15270i) q^{83} +(-5.24002 + 0.736368i) q^{84} +(-1.81500 + 7.95202i) q^{85} +(12.8839 - 4.51624i) q^{86} +(-4.08741 + 1.26080i) q^{87} +(-9.15034 + 10.6686i) q^{88} +(3.12239 - 10.1225i) q^{89} +(-3.79236 - 1.01391i) q^{90} +(3.27040 - 2.96767i) q^{91} +(0.108128 - 1.46457i) q^{92} +(-0.512975 - 1.30704i) q^{93} +(1.40315 + 2.65135i) q^{94} +(0.432251 - 2.86780i) q^{95} +(-1.44901 + 5.46812i) q^{96} -14.9481i q^{97} +(0.156117 + 9.89826i) q^{98} -4.96925i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33511 0.466348i −0.944066 0.329758i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) 1.56504 + 1.24525i 0.782520 + 0.622626i
\(5\) 2.58391 1.01411i 1.15556 0.453523i 0.291330 0.956623i \(-0.405902\pi\)
0.864229 + 0.503099i \(0.167807\pi\)
\(6\) 1.25069 + 0.660127i 0.510593 + 0.269496i
\(7\) 1.51456 2.16936i 0.572449 0.819940i
\(8\) −1.50878 2.39240i −0.533434 0.845842i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) −3.92273 + 0.148948i −1.24048 + 0.0471014i
\(11\) −1.46471 4.74848i −0.441627 1.43172i −0.853793 0.520612i \(-0.825704\pi\)
0.412166 0.911109i \(-0.364772\pi\)
\(12\) −1.36196 1.46460i −0.393165 0.422794i
\(13\) 1.62731 + 0.371422i 0.451334 + 0.103014i 0.442145 0.896944i \(-0.354218\pi\)
0.00918920 + 0.999958i \(0.497075\pi\)
\(14\) −3.03378 + 2.19002i −0.810811 + 0.585308i
\(15\) −2.70619 + 0.617671i −0.698736 + 0.159482i
\(16\) 0.898697 + 3.89774i 0.224674 + 0.974434i
\(17\) −1.65529 + 2.42786i −0.401467 + 0.588843i −0.972735 0.231920i \(-0.925499\pi\)
0.571268 + 0.820763i \(0.306452\pi\)
\(18\) −1.13834 0.839160i −0.268309 0.197792i
\(19\) 0.522408 0.904838i 0.119849 0.207584i −0.799859 0.600188i \(-0.795092\pi\)
0.919708 + 0.392604i \(0.128426\pi\)
\(20\) 5.30674 + 1.63050i 1.18662 + 0.364590i
\(21\) −1.82097 + 1.91940i −0.397368 + 0.418846i
\(22\) −0.258891 + 7.02281i −0.0551958 + 1.49727i
\(23\) −0.413634 0.606690i −0.0862487 0.126504i 0.780690 0.624919i \(-0.214868\pi\)
−0.866939 + 0.498415i \(0.833916\pi\)
\(24\) 1.13536 + 2.59055i 0.231754 + 0.528794i
\(25\) 1.98290 1.83987i 0.396581 0.367973i
\(26\) −1.99942 1.25478i −0.392119 0.246083i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) 5.07174 1.50913i 0.958469 0.285198i
\(29\) 3.85385 1.85591i 0.715641 0.344635i −0.0403776 0.999184i \(-0.512856\pi\)
0.756019 + 0.654550i \(0.227142\pi\)
\(30\) 3.90112 + 0.437368i 0.712243 + 0.0798522i
\(31\) 0.702049 + 1.21599i 0.126092 + 0.218397i 0.922159 0.386811i \(-0.126423\pi\)
−0.796067 + 0.605208i \(0.793090\pi\)
\(32\) 0.617842 5.62301i 0.109220 0.994018i
\(33\) 0.740628 + 4.91375i 0.128927 + 0.855374i
\(34\) 3.34222 2.46953i 0.573186 0.423520i
\(35\) 1.71351 7.14135i 0.289636 1.20711i
\(36\) 1.12846 + 1.65123i 0.188077 + 0.275205i
\(37\) −0.131088 + 1.74925i −0.0215507 + 0.287575i 0.976008 + 0.217736i \(0.0698673\pi\)
−0.997558 + 0.0698381i \(0.977752\pi\)
\(38\) −1.11944 + 0.964434i −0.181597 + 0.156452i
\(39\) −1.55377 0.609811i −0.248803 0.0976480i
\(40\) −6.32470 4.65168i −1.00002 0.735495i
\(41\) −4.25079 3.38989i −0.663862 0.529412i 0.232578 0.972578i \(-0.425284\pi\)
−0.896440 + 0.443166i \(0.853855\pi\)
\(42\) 3.32630 1.71340i 0.513259 0.264384i
\(43\) −7.54761 + 6.01902i −1.15100 + 0.917892i −0.997529 0.0702613i \(-0.977617\pi\)
−0.153471 + 0.988153i \(0.549045\pi\)
\(44\) 3.62072 9.25550i 0.545844 1.39532i
\(45\) 2.76803 0.207435i 0.412633 0.0309226i
\(46\) 0.269319 + 1.00290i 0.0397089 + 0.147869i
\(47\) −1.55491 1.44274i −0.226807 0.210446i 0.558581 0.829450i \(-0.311346\pi\)
−0.785388 + 0.619004i \(0.787536\pi\)
\(48\) −0.307731 3.98815i −0.0444172 0.575639i
\(49\) −2.41223 6.57123i −0.344605 0.938748i
\(50\) −3.50541 + 1.53170i −0.495741 + 0.216615i
\(51\) 1.99866 2.15404i 0.279868 0.301626i
\(52\) 2.08429 + 2.60770i 0.289038 + 0.361623i
\(53\) −0.844926 11.2748i −0.116060 1.54871i −0.686355 0.727267i \(-0.740790\pi\)
0.570295 0.821440i \(-0.306829\pi\)
\(54\) 1.00055 + 0.999448i 0.136158 + 0.136008i
\(55\) −8.60016 10.7843i −1.15965 1.45415i
\(56\) −7.47511 0.350343i −0.998904 0.0468166i
\(57\) −0.651432 + 0.816870i −0.0862843 + 0.108197i
\(58\) −6.01081 + 0.680618i −0.789258 + 0.0893695i
\(59\) 2.28926 5.83295i 0.298037 0.759385i −0.700899 0.713260i \(-0.747218\pi\)
0.998936 0.0461245i \(-0.0146871\pi\)
\(60\) −5.00445 2.40321i −0.646072 0.310253i
\(61\) 14.9255 + 1.11851i 1.91101 + 0.143210i 0.976889 0.213747i \(-0.0685668\pi\)
0.934121 + 0.356957i \(0.116186\pi\)
\(62\) −0.370241 1.95087i −0.0470207 0.247761i
\(63\) 2.08670 1.62656i 0.262899 0.204927i
\(64\) −3.44717 + 7.21921i −0.430896 + 0.902402i
\(65\) 4.58148 0.690546i 0.568262 0.0856517i
\(66\) 1.30270 6.90579i 0.160351 0.850044i
\(67\) −0.627522 + 0.362300i −0.0766640 + 0.0442620i −0.537842 0.843046i \(-0.680760\pi\)
0.461178 + 0.887308i \(0.347427\pi\)
\(68\) −5.61389 + 1.73845i −0.680785 + 0.210818i
\(69\) 0.318592 + 0.661563i 0.0383540 + 0.0796428i
\(70\) −5.61808 + 8.73540i −0.671489 + 1.04408i
\(71\) −1.13149 + 2.34957i −0.134283 + 0.278842i −0.957258 0.289236i \(-0.906599\pi\)
0.822974 + 0.568078i \(0.192313\pi\)
\(72\) −0.736576 2.73083i −0.0868064 0.321832i
\(73\) −7.13580 7.69056i −0.835182 0.900112i 0.161041 0.986948i \(-0.448515\pi\)
−0.996223 + 0.0868358i \(0.972324\pi\)
\(74\) 0.990775 2.27431i 0.115175 0.264383i
\(75\) −2.23498 + 1.52378i −0.258073 + 0.175951i
\(76\) 1.94434 0.765577i 0.223031 0.0878177i
\(77\) −12.5195 4.01436i −1.42674 0.457479i
\(78\) 1.79008 + 1.53876i 0.202686 + 0.174231i
\(79\) 13.9173 + 8.03517i 1.56582 + 0.904027i 0.996648 + 0.0818086i \(0.0260696\pi\)
0.569172 + 0.822218i \(0.307264\pi\)
\(80\) 6.27488 + 9.16002i 0.701553 + 1.02412i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) 4.09440 + 6.50823i 0.452151 + 0.718713i
\(83\) 0.263097 + 1.15270i 0.0288787 + 0.126526i 0.987313 0.158789i \(-0.0507590\pi\)
−0.958434 + 0.285315i \(0.907902\pi\)
\(84\) −5.24002 + 0.736368i −0.571733 + 0.0803443i
\(85\) −1.81500 + 7.95202i −0.196864 + 0.862518i
\(86\) 12.8839 4.51624i 1.38930 0.486999i
\(87\) −4.08741 + 1.26080i −0.438216 + 0.135172i
\(88\) −9.15034 + 10.6686i −0.975430 + 1.13728i
\(89\) 3.12239 10.1225i 0.330972 1.07299i −0.625270 0.780409i \(-0.715011\pi\)
0.956242 0.292577i \(-0.0945128\pi\)
\(90\) −3.79236 1.01391i −0.399750 0.106876i
\(91\) 3.27040 2.96767i 0.342831 0.311097i
\(92\) 0.108128 1.46457i 0.0112731 0.152692i
\(93\) −0.512975 1.30704i −0.0531930 0.135534i
\(94\) 1.40315 + 2.65135i 0.144724 + 0.273466i
\(95\) 0.432251 2.86780i 0.0443480 0.294230i
\(96\) −1.44901 + 5.46812i −0.147889 + 0.558088i
\(97\) 14.9481i 1.51775i −0.651234 0.758877i \(-0.725748\pi\)
0.651234 0.758877i \(-0.274252\pi\)
\(98\) 0.156117 + 9.89826i 0.0157702 + 0.999876i
\(99\) 4.96925i 0.499429i
\(100\) 5.39442 0.410248i 0.539442 0.0410248i
\(101\) −2.60866 + 17.3073i −0.259571 + 1.72214i 0.356367 + 0.934346i \(0.384015\pi\)
−0.615938 + 0.787795i \(0.711223\pi\)
\(102\) −3.67296 + 1.94381i −0.363677 + 0.192466i
\(103\) 4.51346 + 11.5001i 0.444724 + 1.13314i 0.960959 + 0.276692i \(0.0892382\pi\)
−0.516234 + 0.856447i \(0.672667\pi\)
\(104\) −1.56666 4.45357i −0.153623 0.436708i
\(105\) −2.75873 + 6.80620i −0.269225 + 0.664217i
\(106\) −4.12989 + 15.4471i −0.401130 + 1.50035i
\(107\) 0.974302 3.15861i 0.0941893 0.305354i −0.896202 0.443646i \(-0.853685\pi\)
0.990392 + 0.138291i \(0.0441611\pi\)
\(108\) −0.869757 1.80098i −0.0836924 0.173299i
\(109\) 7.61812 2.34988i 0.729684 0.225078i 0.0924165 0.995720i \(-0.470541\pi\)
0.637267 + 0.770643i \(0.280065\pi\)
\(110\) 6.45295 + 18.4088i 0.615264 + 1.75521i
\(111\) 0.390336 1.71017i 0.0370490 0.162322i
\(112\) 9.81671 + 3.95375i 0.927592 + 0.373594i
\(113\) 2.69255 + 11.7968i 0.253294 + 1.10975i 0.928268 + 0.371911i \(0.121298\pi\)
−0.674974 + 0.737841i \(0.735845\pi\)
\(114\) 1.25068 0.786818i 0.117137 0.0736923i
\(115\) −1.68404 1.14816i −0.157038 0.107067i
\(116\) 8.34250 + 1.89443i 0.774582 + 0.175893i
\(117\) 1.44553 + 0.834578i 0.133639 + 0.0771568i
\(118\) −5.77660 + 6.72003i −0.531779 + 0.618629i
\(119\) 2.75988 + 7.26805i 0.252997 + 0.666261i
\(120\) 5.56077 + 5.54237i 0.507626 + 0.505947i
\(121\) −11.3141 + 7.71380i −1.02855 + 0.701254i
\(122\) −19.4055 8.45379i −1.75689 0.765370i
\(123\) 3.69807 + 3.98558i 0.333444 + 0.359367i
\(124\) −0.415473 + 2.77729i −0.0373106 + 0.249408i
\(125\) −2.76403 + 5.73956i −0.247222 + 0.513362i
\(126\) −3.54451 + 1.19850i −0.315770 + 0.106771i
\(127\) −7.11965 14.7841i −0.631766 1.31188i −0.933532 0.358494i \(-0.883290\pi\)
0.301766 0.953382i \(-0.402424\pi\)
\(128\) 7.96901 8.03087i 0.704368 0.709835i
\(129\) 8.36040 4.82688i 0.736092 0.424983i
\(130\) −6.43881 1.21461i −0.564721 0.106528i
\(131\) 11.2970 1.70274i 0.987019 0.148769i 0.364357 0.931260i \(-0.381289\pi\)
0.622663 + 0.782490i \(0.286051\pi\)
\(132\) −4.95974 + 8.61248i −0.431690 + 0.749620i
\(133\) −1.17170 2.50372i −0.101599 0.217100i
\(134\) 1.00677 0.191067i 0.0869715 0.0165057i
\(135\) −2.76803 0.207435i −0.238234 0.0178532i
\(136\) 8.30589 + 0.297004i 0.712224 + 0.0254679i
\(137\) −8.16022 + 20.7919i −0.697175 + 1.77637i −0.0699276 + 0.997552i \(0.522277\pi\)
−0.627247 + 0.778820i \(0.715818\pi\)
\(138\) −0.116837 1.03183i −0.00994582 0.0878356i
\(139\) 4.02172 5.04308i 0.341118 0.427749i −0.581450 0.813582i \(-0.697515\pi\)
0.922569 + 0.385833i \(0.126086\pi\)
\(140\) 11.5745 9.04274i 0.978223 0.764251i
\(141\) 1.32251 + 1.65838i 0.111376 + 0.139660i
\(142\) 2.60638 2.60926i 0.218723 0.218964i
\(143\) −0.619846 8.27126i −0.0518341 0.691678i
\(144\) −0.290108 + 3.98947i −0.0241757 + 0.332455i
\(145\) 8.07588 8.70373i 0.670666 0.722806i
\(146\) 5.94060 + 13.5955i 0.491648 + 1.12517i
\(147\) 1.40590 + 6.85736i 0.115957 + 0.565586i
\(148\) −2.38341 + 2.57440i −0.195915 + 0.211615i
\(149\) 13.5676 + 12.5889i 1.11150 + 1.03132i 0.999291 + 0.0376406i \(0.0119842\pi\)
0.112212 + 0.993684i \(0.464206\pi\)
\(150\) 3.69455 0.992139i 0.301659 0.0810078i
\(151\) 5.08554 0.381109i 0.413855 0.0310142i 0.133824 0.991005i \(-0.457274\pi\)
0.280031 + 0.959991i \(0.409655\pi\)
\(152\) −2.95293 + 0.115391i −0.239515 + 0.00935942i
\(153\) −2.29737 + 1.83210i −0.185732 + 0.148116i
\(154\) 14.8429 + 11.1981i 1.19607 + 0.902367i
\(155\) 3.04717 + 2.43004i 0.244755 + 0.195185i
\(156\) −1.67235 2.88922i −0.133895 0.231323i
\(157\) −6.84677 2.68716i −0.546432 0.214459i 0.0760347 0.997105i \(-0.475774\pi\)
−0.622466 + 0.782647i \(0.713869\pi\)
\(158\) −14.8340 17.2181i −1.18013 1.36980i
\(159\) −0.844926 + 11.2748i −0.0670070 + 0.894146i
\(160\) −4.10590 15.1559i −0.324600 1.19818i
\(161\) −1.94260 0.0215456i −0.153098 0.00169803i
\(162\) −0.840417 1.13741i −0.0660294 0.0893633i
\(163\) 2.43496 + 16.1549i 0.190721 + 1.26535i 0.855300 + 0.518133i \(0.173373\pi\)
−0.664579 + 0.747218i \(0.731389\pi\)
\(164\) −2.43138 10.5986i −0.189859 0.827613i
\(165\) 6.89679 + 11.9456i 0.536915 + 0.929964i
\(166\) 0.186297 1.66168i 0.0144595 0.128972i
\(167\) 17.7766 8.56078i 1.37560 0.662453i 0.407542 0.913187i \(-0.366386\pi\)
0.968056 + 0.250734i \(0.0806719\pi\)
\(168\) 7.33940 + 1.46054i 0.566247 + 0.112683i
\(169\) −9.20242 4.43165i −0.707879 0.340896i
\(170\) 6.13163 9.77041i 0.470274 0.749356i
\(171\) 0.765905 0.710656i 0.0585702 0.0543452i
\(172\) −19.3075 + 0.0213265i −1.47218 + 0.00162613i
\(173\) 2.62029 + 3.84326i 0.199217 + 0.292198i 0.912828 0.408345i \(-0.133894\pi\)
−0.713611 + 0.700542i \(0.752941\pi\)
\(174\) 6.04512 + 0.222849i 0.458279 + 0.0168941i
\(175\) −0.988109 7.08822i −0.0746940 0.535819i
\(176\) 17.1920 9.97651i 1.29590 0.752007i
\(177\) −3.13305 + 5.42660i −0.235494 + 0.407888i
\(178\) −8.88935 + 12.0586i −0.666285 + 0.903828i
\(179\) −10.8230 + 15.8744i −0.808948 + 1.18651i 0.170608 + 0.985339i \(0.445427\pi\)
−0.979556 + 0.201170i \(0.935526\pi\)
\(180\) 4.59038 + 3.12225i 0.342147 + 0.232718i
\(181\) 2.73047 0.623212i 0.202954 0.0463230i −0.119835 0.992794i \(-0.538237\pi\)
0.322789 + 0.946471i \(0.395379\pi\)
\(182\) −5.75031 + 2.43703i −0.426241 + 0.180645i
\(183\) −14.5921 3.33054i −1.07868 0.246201i
\(184\) −0.827363 + 1.90494i −0.0609940 + 0.140434i
\(185\) 1.43521 + 4.65283i 0.105519 + 0.342083i
\(186\) 0.0753434 + 1.98427i 0.00552445 + 0.145493i
\(187\) 13.9532 + 4.30399i 1.02036 + 0.314739i
\(188\) −0.636913 4.19420i −0.0464517 0.305894i
\(189\) −2.30582 + 1.29738i −0.167724 + 0.0943707i
\(190\) −1.91449 + 3.62725i −0.138892 + 0.263148i
\(191\) −23.5225 + 9.23191i −1.70203 + 0.667997i −0.999065 0.0432283i \(-0.986236\pi\)
−0.702964 + 0.711225i \(0.748140\pi\)
\(192\) 4.48463 6.62481i 0.323650 0.478104i
\(193\) −7.38095 1.11250i −0.531292 0.0800795i −0.122083 0.992520i \(-0.538957\pi\)
−0.409210 + 0.912440i \(0.634195\pi\)
\(194\) −6.97103 + 19.9574i −0.500491 + 1.43286i
\(195\) −4.63322 −0.331792
\(196\) 4.40760 13.2881i 0.314829 0.949149i
\(197\) −9.09835 −0.648231 −0.324115 0.946018i \(-0.605067\pi\)
−0.324115 + 0.946018i \(0.605067\pi\)
\(198\) −2.31740 + 6.63450i −0.164690 + 0.471493i
\(199\) −16.2305 2.44635i −1.15055 0.173417i −0.454049 0.890977i \(-0.650021\pi\)
−0.696497 + 0.717560i \(0.745259\pi\)
\(200\) −7.39347 1.96795i −0.522797 0.139155i
\(201\) 0.674511 0.264726i 0.0475763 0.0186723i
\(202\) 11.5541 21.8906i 0.812941 1.54022i
\(203\) 1.81073 11.1713i 0.127088 0.784069i
\(204\) 5.81029 0.882326i 0.406802 0.0617752i
\(205\) −14.4214 4.44840i −1.00723 0.310690i
\(206\) −0.662917 17.4588i −0.0461876 1.21641i
\(207\) −0.216433 0.701658i −0.0150431 0.0487686i
\(208\) 0.0147496 + 6.67661i 0.00102270 + 0.462940i
\(209\) −5.06178 1.15532i −0.350131 0.0799151i
\(210\) 6.85727 7.80050i 0.473197 0.538286i
\(211\) 8.35431 1.90682i 0.575135 0.131271i 0.0749466 0.997188i \(-0.476121\pi\)
0.500188 + 0.865917i \(0.333264\pi\)
\(212\) 12.7176 18.6976i 0.873446 1.28416i
\(213\) 1.46904 2.15468i 0.100657 0.147637i
\(214\) −2.77381 + 3.76273i −0.189614 + 0.257215i
\(215\) −13.3984 + 23.2067i −0.913763 + 1.58268i
\(216\) 0.321340 + 2.81011i 0.0218644 + 0.191204i
\(217\) 3.70120 + 0.318682i 0.251254 + 0.0216336i
\(218\) −11.2669 0.415346i −0.763091 0.0281308i
\(219\) 5.90988 + 8.66820i 0.399352 + 0.585743i
\(220\) −0.0304719 27.5872i −0.00205442 1.85993i
\(221\) −3.59543 + 3.33607i −0.241855 + 0.224408i
\(222\) −1.31868 + 2.10124i −0.0885038 + 0.141026i
\(223\) 19.8943 + 9.58061i 1.33222 + 0.641565i 0.958265 0.285880i \(-0.0922860\pi\)
0.373958 + 0.927446i \(0.378000\pi\)
\(224\) −11.2626 9.85669i −0.752512 0.658578i
\(225\) 2.43712 1.17366i 0.162475 0.0782437i
\(226\) 1.90658 17.0057i 0.126824 1.13120i
\(227\) 8.20617 + 14.2135i 0.544663 + 0.943384i 0.998628 + 0.0523644i \(0.0166757\pi\)
−0.453965 + 0.891019i \(0.649991\pi\)
\(228\) −2.03673 + 0.467237i −0.134886 + 0.0309435i
\(229\) −1.96280 13.0223i −0.129705 0.860539i −0.955164 0.296076i \(-0.904322\pi\)
0.825459 0.564462i \(-0.190916\pi\)
\(230\) 1.71294 + 2.31827i 0.112948 + 0.152862i
\(231\) 11.7814 + 5.83546i 0.775160 + 0.383945i
\(232\) −10.2547 6.41978i −0.673254 0.421479i
\(233\) 0.514827 6.86990i 0.0337275 0.450062i −0.954618 0.297833i \(-0.903736\pi\)
0.988345 0.152228i \(-0.0486449\pi\)
\(234\) −1.54074 1.78837i −0.100721 0.116910i
\(235\) −5.48084 2.15107i −0.357531 0.140320i
\(236\) 10.8463 6.27808i 0.706032 0.408668i
\(237\) −12.5643 10.0197i −0.816138 0.650849i
\(238\) −0.295299 10.9907i −0.0191414 0.712422i
\(239\) −4.31315 + 3.43962i −0.278994 + 0.222491i −0.752982 0.658041i \(-0.771385\pi\)
0.473988 + 0.880531i \(0.342814\pi\)
\(240\) −4.83956 9.99293i −0.312393 0.645041i
\(241\) 21.0121 1.57464i 1.35351 0.101431i 0.621867 0.783123i \(-0.286375\pi\)
0.731639 + 0.681692i \(0.238756\pi\)
\(242\) 18.7028 5.02248i 1.20226 0.322857i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) 21.9661 + 20.3365i 1.40624 + 1.30191i
\(245\) −12.8969 14.5332i −0.823955 0.928492i
\(246\) −3.07867 7.04577i −0.196289 0.449222i
\(247\) 1.18620 1.27841i 0.0754758 0.0813436i
\(248\) 1.84989 3.51424i 0.117468 0.223154i
\(249\) −0.0883570 1.17904i −0.00559940 0.0747187i
\(250\) 6.36692 6.37395i 0.402679 0.403124i
\(251\) 9.37517 + 11.7561i 0.591755 + 0.742038i 0.984068 0.177794i \(-0.0568962\pi\)
−0.392312 + 0.919832i \(0.628325\pi\)
\(252\) 5.29124 + 0.0528405i 0.333317 + 0.00332864i
\(253\) −2.27500 + 2.85276i −0.143028 + 0.179352i
\(254\) 2.61098 + 23.0586i 0.163828 + 1.44683i
\(255\) 2.97991 7.59269i 0.186609 0.475473i
\(256\) −14.3847 + 7.00576i −0.899043 + 0.437860i
\(257\) 3.14679 + 0.235819i 0.196291 + 0.0147100i 0.172513 0.985007i \(-0.444811\pi\)
0.0237784 + 0.999717i \(0.492430\pi\)
\(258\) −13.4131 + 2.54556i −0.835061 + 0.158480i
\(259\) 3.59621 + 2.93371i 0.223457 + 0.182292i
\(260\) 8.03009 + 4.62436i 0.498005 + 0.286790i
\(261\) 4.22967 0.637520i 0.261810 0.0394615i
\(262\) −15.8767 2.99496i −0.980869 0.185029i
\(263\) −21.8911 + 12.6388i −1.34986 + 0.779344i −0.988230 0.152976i \(-0.951114\pi\)
−0.361634 + 0.932320i \(0.617781\pi\)
\(264\) 10.6382 9.18565i 0.654737 0.565337i
\(265\) −13.6170 28.2761i −0.836489 1.73699i
\(266\) 0.396745 + 3.88916i 0.0243260 + 0.238460i
\(267\) −4.59620 + 9.54410i −0.281283 + 0.584090i
\(268\) −1.43325 0.214409i −0.0875497 0.0130971i
\(269\) 0.254593 + 0.274386i 0.0155228 + 0.0167296i 0.740766 0.671764i \(-0.234463\pi\)
−0.725243 + 0.688493i \(0.758272\pi\)
\(270\) 3.59888 + 1.56781i 0.219021 + 0.0954140i
\(271\) 8.46968 5.77453i 0.514496 0.350778i −0.278073 0.960560i \(-0.589696\pi\)
0.792569 + 0.609782i \(0.208743\pi\)
\(272\) −10.9508 4.26997i −0.663988 0.258905i
\(273\) −3.67618 + 2.44710i −0.222492 + 0.148105i
\(274\) 20.5911 23.9540i 1.24395 1.44711i
\(275\) −11.6410 6.72091i −0.701976 0.405286i
\(276\) −0.325204 + 1.43210i −0.0195750 + 0.0862023i
\(277\) 4.80462 + 3.27573i 0.288681 + 0.196820i 0.698998 0.715123i \(-0.253630\pi\)
−0.410317 + 0.911943i \(0.634582\pi\)
\(278\) −7.72128 + 4.85755i −0.463091 + 0.291337i
\(279\) 0.312441 + 1.36890i 0.0187054 + 0.0819536i
\(280\) −19.6703 + 6.67532i −1.17552 + 0.398927i
\(281\) −4.06111 + 17.7929i −0.242265 + 1.06143i 0.696684 + 0.717378i \(0.254658\pi\)
−0.938949 + 0.344055i \(0.888199\pi\)
\(282\) −0.992318 2.83087i −0.0590917 0.168576i
\(283\) 7.90707 2.43901i 0.470027 0.144984i −0.0506884 0.998715i \(-0.516142\pi\)
0.520715 + 0.853730i \(0.325665\pi\)
\(284\) −4.69663 + 2.26817i −0.278694 + 0.134591i
\(285\) −0.854846 + 2.77134i −0.0506367 + 0.164160i
\(286\) −3.02972 + 11.3321i −0.179151 + 0.670082i
\(287\) −13.7920 + 4.08730i −0.814113 + 0.241266i
\(288\) 2.24780 5.19109i 0.132453 0.305888i
\(289\) 3.05626 + 7.78722i 0.179780 + 0.458072i
\(290\) −14.8412 + 7.85427i −0.871503 + 0.461219i
\(291\) −2.22791 + 14.7812i −0.130602 + 0.866488i
\(292\) −1.59112 20.9219i −0.0931133 1.22436i
\(293\) 17.1179i 1.00004i −0.866014 0.500020i \(-0.833326\pi\)
0.866014 0.500020i \(-0.166674\pi\)
\(294\) 1.32089 9.81098i 0.0770356 0.572188i
\(295\) 17.3934i 1.01268i
\(296\) 4.38268 2.32561i 0.254738 0.135174i
\(297\) −0.740628 + 4.91375i −0.0429756 + 0.285125i
\(298\) −12.2435 23.1348i −0.709245 1.34017i
\(299\) −0.447772 1.14090i −0.0258953 0.0659802i
\(300\) −5.39531 0.398330i −0.311499 0.0229976i
\(301\) 1.62612 + 25.4896i 0.0937282 + 1.46920i
\(302\) −6.96749 1.86281i −0.400934 0.107193i
\(303\) 5.15904 16.7252i 0.296379 0.960837i
\(304\) 3.99630 + 1.22303i 0.229204 + 0.0701459i
\(305\) 39.7003 12.2459i 2.27323 0.701200i
\(306\) 3.92164 1.37467i 0.224185 0.0785849i
\(307\) −7.23271 + 31.6886i −0.412793 + 1.80856i 0.157965 + 0.987445i \(0.449507\pi\)
−0.570758 + 0.821119i \(0.693350\pi\)
\(308\) −14.5947 21.8726i −0.831610 1.24631i
\(309\) −2.74905 12.0444i −0.156388 0.685180i
\(310\) −2.93507 4.66541i −0.166701 0.264978i
\(311\) −2.33203 1.58995i −0.132237 0.0901577i 0.495395 0.868668i \(-0.335023\pi\)
−0.627632 + 0.778510i \(0.715976\pi\)
\(312\) 0.885389 + 4.63732i 0.0501253 + 0.262537i
\(313\) −15.9190 9.19085i −0.899796 0.519498i −0.0226623 0.999743i \(-0.507214\pi\)
−0.877134 + 0.480245i \(0.840548\pi\)
\(314\) 7.88804 + 6.78063i 0.445148 + 0.382653i
\(315\) 3.74233 6.31901i 0.210857 0.356036i
\(316\) 11.7753 + 29.9059i 0.662415 + 1.68234i
\(317\) 18.8182 12.8300i 1.05693 0.720606i 0.0954417 0.995435i \(-0.469574\pi\)
0.961493 + 0.274829i \(0.0886213\pi\)
\(318\) 6.38603 14.6590i 0.358111 0.822037i
\(319\) −14.4576 15.5815i −0.809467 0.872398i
\(320\) −1.58609 + 22.1496i −0.0886652 + 1.23820i
\(321\) −1.43419 + 2.97812i −0.0800485 + 0.166222i
\(322\) 2.58354 + 0.934694i 0.143975 + 0.0520885i
\(323\) 1.33209 + 2.76610i 0.0741192 + 0.153910i
\(324\) 0.591621 + 1.91049i 0.0328678 + 0.106139i
\(325\) 3.91016 2.25753i 0.216897 0.125225i
\(326\) 4.28287 22.7041i 0.237206 1.25747i
\(327\) −7.88327 + 1.18821i −0.435946 + 0.0657082i
\(328\) −1.69647 + 15.2842i −0.0936721 + 0.843928i
\(329\) −5.48483 + 1.18804i −0.302388 + 0.0654985i
\(330\) −3.63718 19.1650i −0.200220 1.05500i
\(331\) 18.6476 + 1.39744i 1.02496 + 0.0768105i 0.576589 0.817034i \(-0.304383\pi\)
0.448376 + 0.893845i \(0.352003\pi\)
\(332\) −1.02365 + 2.13165i −0.0561800 + 0.116989i
\(333\) −0.640864 + 1.63289i −0.0351191 + 0.0894821i
\(334\) −27.7261 + 3.13949i −1.51710 + 0.171785i
\(335\) −1.25405 + 1.57253i −0.0685159 + 0.0859162i
\(336\) −9.11779 5.37269i −0.497416 0.293104i
\(337\) 5.30322 + 6.65003i 0.288885 + 0.362250i 0.905004 0.425403i \(-0.139867\pi\)
−0.616119 + 0.787653i \(0.711296\pi\)
\(338\) 10.2196 + 10.2083i 0.555871 + 0.555257i
\(339\) −0.904250 12.0664i −0.0491121 0.655356i
\(340\) −12.7428 + 10.1851i −0.691076 + 0.552364i
\(341\) 4.74578 5.11474i 0.256999 0.276979i
\(342\) −1.35398 + 0.591626i −0.0732149 + 0.0319915i
\(343\) −17.9088 4.71951i −0.966986 0.254830i
\(344\) 25.7876 + 8.97554i 1.39037 + 0.483929i
\(345\) 1.49411 + 1.38633i 0.0804402 + 0.0746376i
\(346\) −1.70608 6.35314i −0.0917195 0.341547i
\(347\) 8.95423 0.671027i 0.480688 0.0360226i 0.167817 0.985818i \(-0.446328\pi\)
0.312871 + 0.949796i \(0.398709\pi\)
\(348\) −7.96697 3.11665i −0.427075 0.167070i
\(349\) 28.4120 22.6578i 1.52086 1.21285i 0.615549 0.788098i \(-0.288934\pi\)
0.905312 0.424748i \(-0.139637\pi\)
\(350\) −1.98634 + 9.92435i −0.106174 + 0.530479i
\(351\) −1.30500 1.04070i −0.0696557 0.0555486i
\(352\) −27.6057 + 5.30229i −1.47139 + 0.282613i
\(353\) 17.0890 + 6.70692i 0.909554 + 0.356973i 0.773550 0.633735i \(-0.218479\pi\)
0.136003 + 0.990708i \(0.456574\pi\)
\(354\) 6.71365 5.78402i 0.356826 0.307417i
\(355\) −0.540953 + 7.21852i −0.0287108 + 0.383119i
\(356\) 17.4918 11.9540i 0.927061 0.633561i
\(357\) −1.64580 7.59821i −0.0871052 0.402140i
\(358\) 21.8529 16.1468i 1.15496 0.853385i
\(359\) −4.37145 29.0027i −0.230717 1.53070i −0.741475 0.670980i \(-0.765874\pi\)
0.510759 0.859724i \(-0.329365\pi\)
\(360\) −4.67261 6.30926i −0.246268 0.332527i
\(361\) 8.95418 + 15.5091i 0.471273 + 0.816268i
\(362\) −3.93611 0.441292i −0.206878 0.0231938i
\(363\) 12.3374 5.94137i 0.647544 0.311841i
\(364\) 8.81380 0.572057i 0.461969 0.0299839i
\(365\) −26.2373 12.6352i −1.37332 0.661358i
\(366\) 17.9288 + 11.2516i 0.937154 + 0.588131i
\(367\) −18.4574 + 17.1259i −0.963467 + 0.893967i −0.994414 0.105554i \(-0.966338\pi\)
0.0309467 + 0.999521i \(0.490148\pi\)
\(368\) 1.99299 2.15747i 0.103892 0.112466i
\(369\) −3.06275 4.49223i −0.159440 0.233856i
\(370\) 0.253676 6.88135i 0.0131880 0.357744i
\(371\) −25.7387 15.2433i −1.33629 0.791393i
\(372\) 0.824766 2.68435i 0.0427621 0.139177i
\(373\) −8.31904 + 14.4090i −0.430743 + 0.746069i −0.996937 0.0782025i \(-0.975082\pi\)
0.566194 + 0.824272i \(0.308415\pi\)
\(374\) −16.6219 12.2533i −0.859497 0.633605i
\(375\) 3.58859 5.26350i 0.185314 0.271806i
\(376\) −1.10561 + 5.89675i −0.0570174 + 0.304101i
\(377\) 6.96072 1.58874i 0.358495 0.0818242i
\(378\) 3.68355 0.656836i 0.189462 0.0337840i
\(379\) 1.13606 + 0.259298i 0.0583554 + 0.0133192i 0.251599 0.967832i \(-0.419044\pi\)
−0.193244 + 0.981151i \(0.561901\pi\)
\(380\) 4.24762 3.94995i 0.217898 0.202628i
\(381\) 4.83667 + 15.6801i 0.247790 + 0.803316i
\(382\) 35.7104 1.35594i 1.82710 0.0693759i
\(383\) 5.33632 + 1.64604i 0.272673 + 0.0841085i 0.428076 0.903743i \(-0.359191\pi\)
−0.155403 + 0.987851i \(0.549668\pi\)
\(384\) −9.07694 + 6.75345i −0.463206 + 0.344636i
\(385\) −36.4204 + 2.32346i −1.85615 + 0.118414i
\(386\) 9.33557 + 4.92740i 0.475168 + 0.250798i
\(387\) −8.98643 + 3.52691i −0.456806 + 0.179283i
\(388\) 18.6142 23.3944i 0.944993 1.18767i
\(389\) −3.96177 0.597141i −0.200870 0.0302762i 0.0478366 0.998855i \(-0.484767\pi\)
−0.248706 + 0.968579i \(0.580005\pi\)
\(390\) 6.18587 + 2.16069i 0.313234 + 0.109411i
\(391\) 2.15765 0.109117
\(392\) −12.0815 + 15.6856i −0.610208 + 0.792241i
\(393\) −11.4246 −0.576293
\(394\) 12.1473 + 4.24300i 0.611972 + 0.213759i
\(395\) 44.1096 + 6.64845i 2.21940 + 0.334520i
\(396\) 6.18797 7.77707i 0.310957 0.390813i
\(397\) 12.7051 4.98640i 0.637652 0.250260i −0.0244179 0.999702i \(-0.507773\pi\)
0.662070 + 0.749442i \(0.269678\pi\)
\(398\) 20.5286 + 10.8352i 1.02901 + 0.543118i
\(399\) 0.785453 + 2.65039i 0.0393219 + 0.132685i
\(400\) 8.95335 + 6.07536i 0.447667 + 0.303768i
\(401\) 0.905163 + 0.279206i 0.0452017 + 0.0139429i 0.317274 0.948334i \(-0.397233\pi\)
−0.272072 + 0.962277i \(0.587709\pi\)
\(402\) −1.02400 + 0.0388817i −0.0510725 + 0.00193925i
\(403\) 0.690806 + 2.23954i 0.0344115 + 0.111559i
\(404\) −25.6346 + 23.8382i −1.27537 + 1.18599i
\(405\) 2.70619 + 0.617671i 0.134472 + 0.0306923i
\(406\) −7.62721 + 14.0704i −0.378532 + 0.698304i
\(407\) 8.49828 1.93968i 0.421244 0.0961462i
\(408\) −8.16885 1.53162i −0.404419 0.0758263i
\(409\) −9.09469 + 13.3395i −0.449703 + 0.659594i −0.982417 0.186702i \(-0.940220\pi\)
0.532713 + 0.846296i \(0.321172\pi\)
\(410\) 17.1796 + 12.6645i 0.848441 + 0.625454i
\(411\) 11.1680 19.3435i 0.550874 0.954142i
\(412\) −7.25679 + 23.6185i −0.357516 + 1.16360i
\(413\) −9.18653 13.8006i −0.452040 0.679081i
\(414\) −0.0382550 + 1.03772i −0.00188013 + 0.0510013i
\(415\) 1.84879 + 2.71167i 0.0907534 + 0.133111i
\(416\) 3.09393 8.92089i 0.151692 0.437383i
\(417\) −4.72844 + 4.38735i −0.231553 + 0.214849i
\(418\) 6.21926 + 3.90303i 0.304194 + 0.190903i
\(419\) 12.9880 + 6.25469i 0.634505 + 0.305561i 0.723347 0.690484i \(-0.242603\pi\)
−0.0888426 + 0.996046i \(0.528317\pi\)
\(420\) −12.7930 + 7.21666i −0.624233 + 0.352137i
\(421\) 3.56491 1.71677i 0.173743 0.0836703i −0.344991 0.938606i \(-0.612118\pi\)
0.518734 + 0.854936i \(0.326404\pi\)
\(422\) −12.0432 1.35020i −0.586252 0.0657269i
\(423\) −1.06057 1.83696i −0.0515668 0.0893162i
\(424\) −25.6989 + 19.0325i −1.24805 + 0.924301i
\(425\) 1.18466 + 7.85973i 0.0574647 + 0.381253i
\(426\) −2.96616 + 2.19166i −0.143711 + 0.106186i
\(427\) 25.0319 30.6846i 1.21138 1.48493i
\(428\) 5.45809 3.73010i 0.263826 0.180301i
\(429\) −0.619846 + 8.27126i −0.0299264 + 0.399340i
\(430\) 28.7107 24.7352i 1.38455 1.19284i
\(431\) 13.7637 + 5.40186i 0.662975 + 0.260199i 0.672879 0.739752i \(-0.265057\pi\)
−0.00990410 + 0.999951i \(0.503153\pi\)
\(432\) 0.881467 3.90167i 0.0424096 0.187719i
\(433\) −24.6828 19.6839i −1.18618 0.945948i −0.186845 0.982389i \(-0.559826\pi\)
−0.999336 + 0.0364418i \(0.988398\pi\)
\(434\) −4.79290 2.15152i −0.230066 0.103276i
\(435\) −9.28291 + 7.40287i −0.445081 + 0.354941i
\(436\) 14.8489 + 5.80883i 0.711131 + 0.278192i
\(437\) −0.765042 + 0.0573320i −0.0365969 + 0.00274256i
\(438\) −3.84794 14.3291i −0.183862 0.684669i
\(439\) −17.6527 16.3793i −0.842517 0.781742i 0.135387 0.990793i \(-0.456772\pi\)
−0.977905 + 0.209051i \(0.932963\pi\)
\(440\) −12.8245 + 36.8461i −0.611385 + 1.75657i
\(441\) −0.368160 6.99031i −0.0175314 0.332872i
\(442\) 6.35606 2.77730i 0.302327 0.132103i
\(443\) −8.90459 + 9.59686i −0.423070 + 0.455961i −0.908234 0.418462i \(-0.862569\pi\)
0.485164 + 0.874423i \(0.338760\pi\)
\(444\) 2.74049 2.19042i 0.130058 0.103953i
\(445\) −2.19739 29.3221i −0.104166 1.39000i
\(446\) −22.0932 22.0689i −1.04615 1.04499i
\(447\) −11.5398 14.4705i −0.545814 0.684430i
\(448\) 10.4401 + 18.4121i 0.493250 + 0.869888i
\(449\) −25.1470 + 31.5334i −1.18676 + 1.48815i −0.353355 + 0.935489i \(0.614959\pi\)
−0.833406 + 0.552662i \(0.813612\pi\)
\(450\) −3.80116 + 0.430414i −0.179188 + 0.0202899i
\(451\) −9.87065 + 25.1500i −0.464791 + 1.18427i
\(452\) −10.4761 + 21.8154i −0.492753 + 1.02611i
\(453\) −5.08554 0.381109i −0.238940 0.0179060i
\(454\) −4.32771 22.8035i −0.203109 1.07022i
\(455\) 5.44086 10.9847i 0.255072 0.514972i
\(456\) 2.93715 + 0.326010i 0.137545 + 0.0152668i
\(457\) −5.24380 + 0.790375i −0.245295 + 0.0369722i −0.270539 0.962709i \(-0.587202\pi\)
0.0252441 + 0.999681i \(0.491964\pi\)
\(458\) −3.45238 + 18.3016i −0.161319 + 0.855176i
\(459\) 2.54477 1.46923i 0.118780 0.0685776i
\(460\) −1.20584 3.89398i −0.0562228 0.181558i
\(461\) 16.8345 + 34.9572i 0.784062 + 1.62812i 0.778102 + 0.628138i \(0.216183\pi\)
0.00595974 + 0.999982i \(0.498103\pi\)
\(462\) −13.0081 13.2852i −0.605193 0.618084i
\(463\) −0.404783 + 0.840540i −0.0188118 + 0.0390632i −0.910163 0.414250i \(-0.864044\pi\)
0.891351 + 0.453313i \(0.149758\pi\)
\(464\) 10.6973 + 13.3534i 0.496610 + 0.619915i
\(465\) −2.65096 2.85706i −0.122935 0.132493i
\(466\) −3.89111 + 8.93198i −0.180252 + 0.413766i
\(467\) 7.95438 5.42320i 0.368085 0.250956i −0.365125 0.930959i \(-0.618974\pi\)
0.733210 + 0.680003i \(0.238021\pi\)
\(468\) 1.22305 + 3.10620i 0.0565357 + 0.143584i
\(469\) −0.164459 + 1.91004i −0.00759402 + 0.0881976i
\(470\) 6.31438 + 5.42789i 0.291261 + 0.250370i
\(471\) 6.36980 + 3.67760i 0.293505 + 0.169455i
\(472\) −17.4087 + 3.32380i −0.801302 + 0.152990i
\(473\) 39.6363 + 27.0236i 1.82248 + 1.24254i
\(474\) 12.1021 + 19.2367i 0.555866 + 0.883572i
\(475\) −0.628895 2.75537i −0.0288557 0.126425i
\(476\) −4.73124 + 14.8115i −0.216856 + 0.678885i
\(477\) 2.51590 11.0229i 0.115195 0.504704i
\(478\) 7.36259 2.58085i 0.336757 0.118045i
\(479\) −3.82430 + 1.17964i −0.174737 + 0.0538991i −0.380889 0.924621i \(-0.624382\pi\)
0.206152 + 0.978520i \(0.433906\pi\)
\(480\) 1.80117 + 15.5986i 0.0822119 + 0.711975i
\(481\) −0.863030 + 2.79787i −0.0393508 + 0.127572i
\(482\) −28.7877 7.69662i −1.31125 0.350571i
\(483\) 1.91769 + 0.310835i 0.0872581 + 0.0141435i
\(484\) −27.3126 2.01646i −1.24148 0.0916572i
\(485\) −15.1591 38.6246i −0.688337 1.75385i
\(486\) 0.661508 + 1.24996i 0.0300066 + 0.0566995i
\(487\) −3.77151 + 25.0223i −0.170903 + 1.13387i 0.724715 + 0.689048i \(0.241971\pi\)
−0.895619 + 0.444822i \(0.853267\pi\)
\(488\) −19.8433 37.3953i −0.898265 1.69280i
\(489\) 16.3374i 0.738803i
\(490\) 10.4413 + 25.4179i 0.471690 + 1.14826i
\(491\) 19.7225i 0.890064i 0.895515 + 0.445032i \(0.146808\pi\)
−0.895515 + 0.445032i \(0.853192\pi\)
\(492\) 0.824586 + 10.8426i 0.0371752 + 0.488823i
\(493\) −1.87332 + 12.4287i −0.0843702 + 0.559760i
\(494\) −2.17989 + 1.15365i −0.0980778 + 0.0519049i
\(495\) −5.03936 12.8401i −0.226503 0.577119i
\(496\) −4.10866 + 3.82921i −0.184484 + 0.171936i
\(497\) 3.38334 + 6.01317i 0.151764 + 0.269727i
\(498\) −0.431877 + 1.61536i −0.0193529 + 0.0723858i
\(499\) 3.29085 10.6687i 0.147319 0.477595i −0.851595 0.524201i \(-0.824364\pi\)
0.998913 + 0.0466056i \(0.0148404\pi\)
\(500\) −11.4730 + 5.54073i −0.513089 + 0.247789i
\(501\) −18.8540 + 5.81569i −0.842335 + 0.259826i
\(502\) −7.03446 20.0678i −0.313963 0.895668i
\(503\) 1.35101 5.91915i 0.0602384 0.263922i −0.935837 0.352434i \(-0.885354\pi\)
0.996075 + 0.0885122i \(0.0282112\pi\)
\(504\) −7.03975 2.53811i −0.313575 0.113056i
\(505\) 10.8110 + 47.3659i 0.481082 + 2.10776i
\(506\) 4.36776 2.74781i 0.194171 0.122155i
\(507\) 8.43913 + 5.75370i 0.374795 + 0.255531i
\(508\) 7.26740 32.0034i 0.322439 1.41992i
\(509\) −23.4972 13.5661i −1.04149 0.601306i −0.121237 0.992624i \(-0.538686\pi\)
−0.920256 + 0.391317i \(0.872020\pi\)
\(510\) −7.51935 + 8.74741i −0.332962 + 0.387342i
\(511\) −27.4912 + 3.83231i −1.21614 + 0.169531i
\(512\) 22.4723 2.64520i 0.993143 0.116902i
\(513\) −0.863268 + 0.588566i −0.0381142 + 0.0259858i
\(514\) −4.09134 1.78234i −0.180461 0.0786158i
\(515\) 23.3247 + 25.1381i 1.02781 + 1.10772i
\(516\) 19.0950 + 2.85655i 0.840612 + 0.125752i
\(517\) −4.57335 + 9.49666i −0.201136 + 0.417662i
\(518\) −3.43320 5.59391i −0.150846 0.245782i
\(519\) −2.01822 4.19087i −0.0885898 0.183959i
\(520\) −8.56450 9.91884i −0.375578 0.434970i
\(521\) 13.9578 8.05852i 0.611501 0.353050i −0.162052 0.986782i \(-0.551811\pi\)
0.773553 + 0.633732i \(0.218478\pi\)
\(522\) −5.94438 1.12134i −0.260179 0.0490796i
\(523\) 21.8962 3.30033i 0.957456 0.144313i 0.348317 0.937377i \(-0.386753\pi\)
0.609139 + 0.793064i \(0.291515\pi\)
\(524\) 19.8005 + 11.4027i 0.864990 + 0.498129i
\(525\) −0.0793715 + 7.15632i −0.00346406 + 0.312327i
\(526\) 35.1211 6.66537i 1.53135 0.290624i
\(527\) −4.11434 0.308327i −0.179224 0.0134309i
\(528\) −18.4869 + 7.30274i −0.804539 + 0.317811i
\(529\) 8.20586 20.9082i 0.356777 0.909052i
\(530\) 4.99377 + 44.1020i 0.216915 + 1.91567i
\(531\) 3.90685 4.89903i 0.169543 0.212600i
\(532\) 1.28400 5.37748i 0.0556686 0.233143i
\(533\) −5.65826 7.09523i −0.245086 0.307329i
\(534\) 10.5873 10.5990i 0.458157 0.458664i
\(535\) −0.685668 9.14961i −0.0296440 0.395572i
\(536\) 1.81356 + 0.954653i 0.0783338 + 0.0412347i
\(537\) 13.0681 14.0840i 0.563929 0.607770i
\(538\) −0.211950 0.485065i −0.00913783 0.0209126i
\(539\) −27.6702 + 21.0794i −1.19184 + 0.907955i
\(540\) −4.07376 3.77153i −0.175307 0.162301i
\(541\) 27.6878 + 25.6905i 1.19039 + 1.10452i 0.992239 + 0.124349i \(0.0396842\pi\)
0.198151 + 0.980171i \(0.436506\pi\)
\(542\) −14.0009 + 3.75982i −0.601390 + 0.161498i
\(543\) −2.79286 + 0.209296i −0.119853 + 0.00898174i
\(544\) 12.6292 + 10.8077i 0.541473 + 0.463378i
\(545\) 17.3015 13.7975i 0.741115 0.591019i
\(546\) 6.04930 1.55277i 0.258886 0.0664524i
\(547\) 18.9733 + 15.1307i 0.811240 + 0.646942i 0.938636 0.344910i \(-0.112090\pi\)
−0.127396 + 0.991852i \(0.540662\pi\)
\(548\) −38.6622 + 22.3786i −1.65157 + 0.955967i
\(549\) 13.9327 + 5.46817i 0.594632 + 0.233376i
\(550\) 12.4077 + 14.4019i 0.529065 + 0.614099i
\(551\) 0.333980 4.45665i 0.0142280 0.189860i
\(552\) 1.10204 1.76035i 0.0469059 0.0749256i
\(553\) 38.5097 18.0219i 1.63760 0.766371i
\(554\) −4.88706 6.61409i −0.207631 0.281006i
\(555\) −0.725710 4.81477i −0.0308047 0.204376i
\(556\) 12.5741 2.88456i 0.533259 0.122333i
\(557\) 15.8160 + 27.3941i 0.670146 + 1.16073i 0.977862 + 0.209249i \(0.0671018\pi\)
−0.307717 + 0.951478i \(0.599565\pi\)
\(558\) 0.221238 1.97333i 0.00936573 0.0835378i
\(559\) −14.5179 + 6.99144i −0.614041 + 0.295706i
\(560\) 29.3750 + 0.260902i 1.24132 + 0.0110251i
\(561\) −13.1559 6.33553i −0.555441 0.267486i
\(562\) 13.7197 21.8616i 0.578730 0.922174i
\(563\) −14.1840 + 13.1609i −0.597786 + 0.554664i −0.919958 0.392017i \(-0.871778\pi\)
0.322172 + 0.946681i \(0.395587\pi\)
\(564\) 0.00468590 + 4.24228i 0.000197312 + 0.178632i
\(565\) 18.9206 + 27.7514i 0.795995 + 1.16751i
\(566\) −11.6942 0.431100i −0.491546 0.0181205i
\(567\) 2.47343 0.939228i 0.103874 0.0394439i
\(568\) 7.32828 0.837997i 0.307488 0.0351616i
\(569\) −11.1133 + 19.2489i −0.465896 + 0.806955i −0.999241 0.0389422i \(-0.987601\pi\)
0.533346 + 0.845897i \(0.320935\pi\)
\(570\) 2.43372 3.30139i 0.101937 0.138280i
\(571\) 8.49018 12.4528i 0.355303 0.521134i −0.606425 0.795141i \(-0.707397\pi\)
0.961728 + 0.274007i \(0.0883492\pi\)
\(572\) 9.32972 13.7167i 0.390095 0.573525i
\(573\) 24.6357 5.62294i 1.02917 0.234902i
\(574\) 20.3199 + 0.974847i 0.848136 + 0.0406893i
\(575\) −1.93643 0.441977i −0.0807546 0.0184317i
\(576\) −5.42192 + 5.88241i −0.225913 + 0.245101i
\(577\) −7.01060 22.7278i −0.291855 0.946170i −0.976174 0.216988i \(-0.930377\pi\)
0.684319 0.729182i \(-0.260099\pi\)
\(578\) −0.448889 11.8221i −0.0186713 0.491734i
\(579\) 7.13270 + 2.20015i 0.296425 + 0.0914350i
\(580\) 23.4774 3.56518i 0.974847 0.148036i
\(581\) 2.89910 + 1.17508i 0.120275 + 0.0487507i
\(582\) 9.86767 18.6955i 0.409028 0.774955i
\(583\) −52.3004 + 20.5264i −2.16606 + 0.850116i
\(584\) −7.63256 + 28.6750i −0.315837 + 1.18658i
\(585\) 4.58148 + 0.690546i 0.189421 + 0.0285506i
\(586\) −7.98290 + 22.8543i −0.329771 + 0.944103i
\(587\) 17.1712 0.708731 0.354365 0.935107i \(-0.384697\pi\)
0.354365 + 0.935107i \(0.384697\pi\)
\(588\) −6.33886 + 12.4827i −0.261410 + 0.514780i
\(589\) 1.46703 0.0604477
\(590\) −8.11136 + 23.2221i −0.333939 + 0.956037i
\(591\) 8.99673 + 1.35604i 0.370076 + 0.0557800i
\(592\) −6.93591 + 1.06110i −0.285064 + 0.0436108i
\(593\) −3.85779 + 1.51407i −0.158420 + 0.0621754i −0.443226 0.896410i \(-0.646166\pi\)
0.284806 + 0.958585i \(0.408071\pi\)
\(594\) 3.28034 6.21501i 0.134594 0.255005i
\(595\) 14.5019 + 15.9812i 0.594519 + 0.655164i
\(596\) 5.55750 + 36.5973i 0.227644 + 1.49908i
\(597\) 15.6846 + 4.83805i 0.641926 + 0.198008i
\(598\) 0.0657667 + 1.73205i 0.00268940 + 0.0708288i
\(599\) −12.5822 40.7904i −0.514093 1.66665i −0.724689 0.689076i \(-0.758017\pi\)
0.210596 0.977573i \(-0.432459\pi\)
\(600\) 7.01758 + 3.04791i 0.286492 + 0.124430i
\(601\) −15.5000 3.53778i −0.632259 0.144309i −0.105632 0.994405i \(-0.533686\pi\)
−0.526627 + 0.850096i \(0.676544\pi\)
\(602\) 9.71598 34.7898i 0.395994 1.41793i
\(603\) −0.706432 + 0.161239i −0.0287682 + 0.00656614i
\(604\) 8.43365 + 5.73633i 0.343160 + 0.233408i
\(605\) −21.4119 + 31.4054i −0.870516 + 1.27681i
\(606\) −14.6876 + 19.9241i −0.596645 + 0.809360i
\(607\) 4.54878 7.87872i 0.184629 0.319787i −0.758822 0.651298i \(-0.774225\pi\)
0.943452 + 0.331510i \(0.107558\pi\)
\(608\) −4.76515 3.49655i −0.193252 0.141804i
\(609\) −3.45549 + 10.7766i −0.140024 + 0.436690i
\(610\) −58.7152 2.16449i −2.37731 0.0876378i
\(611\) −1.99445 2.92531i −0.0806866 0.118346i
\(612\) −5.87690 + 0.00649144i −0.237560 + 0.000262401i
\(613\) −14.8010 + 13.7333i −0.597806 + 0.554683i −0.919964 0.392003i \(-0.871782\pi\)
0.322158 + 0.946686i \(0.395592\pi\)
\(614\) 24.4344 38.9348i 0.986091 1.57128i
\(615\) 13.5973 + 6.54811i 0.548296 + 0.264045i
\(616\) 9.28529 + 36.0086i 0.374115 + 1.45083i
\(617\) 7.05649 3.39823i 0.284084 0.136807i −0.286416 0.958105i \(-0.592464\pi\)
0.570500 + 0.821298i \(0.306750\pi\)
\(618\) −1.94658 + 17.3626i −0.0783030 + 0.698425i
\(619\) −18.3723 31.8217i −0.738443 1.27902i −0.953196 0.302353i \(-0.902228\pi\)
0.214753 0.976668i \(-0.431105\pi\)
\(620\) 1.74294 + 7.59761i 0.0699980 + 0.305127i
\(621\) 0.109439 + 0.726078i 0.00439162 + 0.0291365i
\(622\) 2.37204 + 3.21029i 0.0951102 + 0.128721i
\(623\) −17.2304 22.1047i −0.690320 0.885607i
\(624\) 0.980512 6.60424i 0.0392519 0.264381i
\(625\) −2.33217 + 31.1207i −0.0932870 + 1.24483i
\(626\) 16.9675 + 19.6946i 0.678159 + 0.787155i
\(627\) 4.83306 + 1.89683i 0.193014 + 0.0757523i
\(628\) −7.36927 12.7315i −0.294066 0.508041i
\(629\) −4.02995 3.21377i −0.160684 0.128142i
\(630\) −7.94329 + 6.69135i −0.316468 + 0.266590i
\(631\) 34.2227 27.2917i 1.36239 1.08647i 0.375191 0.926948i \(-0.377577\pi\)
0.987195 0.159519i \(-0.0509942\pi\)
\(632\) −1.77483 45.4191i −0.0705988 1.80667i
\(633\) −8.54520 + 0.640374i −0.339641 + 0.0254526i
\(634\) −31.1076 + 8.35368i −1.23544 + 0.331767i
\(635\) −33.3892 30.9807i −1.32501 1.22943i
\(636\) −15.3623 + 16.5933i −0.609153 + 0.657967i
\(637\) −1.48474 11.5894i −0.0588276 0.459188i
\(638\) 12.0360 + 27.5453i 0.476510 + 1.09053i
\(639\) −1.77377 + 1.91167i −0.0701693 + 0.0756245i
\(640\) 12.4470 28.8325i 0.492012 1.13970i
\(641\) −1.90320 25.3964i −0.0751718 1.00310i −0.899482 0.436959i \(-0.856056\pi\)
0.824310 0.566139i \(-0.191563\pi\)
\(642\) 3.30364 3.30729i 0.130384 0.130528i
\(643\) 13.1527 + 16.4930i 0.518693 + 0.650420i 0.970331 0.241781i \(-0.0777316\pi\)
−0.451638 + 0.892201i \(0.649160\pi\)
\(644\) −3.01342 2.45275i −0.118745 0.0966518i
\(645\) 16.7075 20.9506i 0.657858 0.824928i
\(646\) −0.488515 4.31427i −0.0192203 0.169743i
\(647\) −5.78889 + 14.7498i −0.227585 + 0.579876i −0.998361 0.0572295i \(-0.981773\pi\)
0.770776 + 0.637106i \(0.219869\pi\)
\(648\) 0.101075 2.82662i 0.00397061 0.111040i
\(649\) −31.0507 2.32693i −1.21885 0.0913401i
\(650\) −6.27329 + 1.19056i −0.246059 + 0.0466976i
\(651\) −3.61237 0.866758i −0.141580 0.0339709i
\(652\) −16.3061 + 28.3152i −0.638597 + 1.10891i
\(653\) −16.1213 + 2.42990i −0.630875 + 0.0950892i −0.456693 0.889624i \(-0.650966\pi\)
−0.174182 + 0.984713i \(0.555728\pi\)
\(654\) 11.0792 + 2.08995i 0.433229 + 0.0817236i
\(655\) 27.4635 15.8561i 1.07309 0.619548i
\(656\) 9.39273 19.6149i 0.366725 0.765835i
\(657\) −4.55194 9.45220i −0.177588 0.368766i
\(658\) 7.87688 + 0.971678i 0.307073 + 0.0378800i
\(659\) 8.19896 17.0253i 0.319386 0.663212i −0.678032 0.735033i \(-0.737167\pi\)
0.997418 + 0.0718210i \(0.0228810\pi\)
\(660\) −4.08152 + 27.2836i −0.158873 + 1.06201i
\(661\) −7.99548 8.61708i −0.310988 0.335165i 0.558145 0.829743i \(-0.311513\pi\)
−0.869133 + 0.494578i \(0.835323\pi\)
\(662\) −24.2449 10.5620i −0.942305 0.410504i
\(663\) 4.05248 2.76294i 0.157385 0.107304i
\(664\) 2.36077 2.36861i 0.0916158 0.0919199i
\(665\) −5.56661 5.28115i −0.215864 0.204794i
\(666\) 1.61712 1.88123i 0.0626622 0.0728961i
\(667\) −2.72005 1.57042i −0.105321 0.0608069i
\(668\) 38.4815 + 8.73843i 1.48889 + 0.338100i
\(669\) −18.2442 12.4387i −0.705362 0.480908i
\(670\) 2.40763 1.51467i 0.0930150 0.0585169i
\(671\) −16.5503 72.5116i −0.638917 2.79928i
\(672\) 9.66772 + 11.4252i 0.372940 + 0.440737i
\(673\) 5.35931 23.4807i 0.206586 0.905114i −0.760232 0.649651i \(-0.774915\pi\)
0.966819 0.255463i \(-0.0822279\pi\)
\(674\) −3.97916 11.3517i −0.153272 0.437250i
\(675\) −2.58482 + 0.797313i −0.0994899 + 0.0306886i
\(676\) −8.88363 18.3950i −0.341678 0.707502i
\(677\) 9.82608 31.8554i 0.377647 1.22430i −0.544928 0.838483i \(-0.683443\pi\)
0.922575 0.385818i \(-0.126081\pi\)
\(678\) −4.41985 + 16.5316i −0.169743 + 0.634894i
\(679\) −32.4279 22.6398i −1.24447 0.868836i
\(680\) 21.7629 7.65565i 0.834567 0.293581i
\(681\) −5.99610 15.2778i −0.229771 0.585447i
\(682\) −8.72139 + 4.61555i −0.333959 + 0.176739i
\(683\) 2.21226 14.6774i 0.0846496 0.561614i −0.905796 0.423713i \(-0.860726\pi\)
0.990446 0.137901i \(-0.0440354\pi\)
\(684\) 2.08362 0.158460i 0.0796691 0.00605887i
\(685\) 61.9997i 2.36889i
\(686\) 21.7093 + 14.6528i 0.828866 + 0.559447i
\(687\) 13.1694i 0.502444i
\(688\) −30.2436 24.0093i −1.15302 0.915347i
\(689\) 2.81274 18.6613i 0.107157 0.710940i
\(690\) −1.34829 2.54768i −0.0513285 0.0969885i
\(691\) 3.92447 + 9.99939i 0.149294 + 0.380395i 0.985883 0.167436i \(-0.0535489\pi\)
−0.836589 + 0.547831i \(0.815454\pi\)
\(692\) −0.684968 + 9.27777i −0.0260386 + 0.352688i
\(693\) −10.7801 7.52621i −0.409502 0.285897i
\(694\) −12.2678 3.27989i −0.465680 0.124503i
\(695\) 5.27753 17.1093i 0.200188 0.648994i
\(696\) 9.18334 + 7.87646i 0.348094 + 0.298556i
\(697\) 15.2665 4.70908i 0.578259 0.178369i
\(698\) −48.4996 + 17.0008i −1.83574 + 0.643491i
\(699\) −1.53298 + 6.71643i −0.0579827 + 0.254039i
\(700\) 7.28018 12.3238i 0.275165 0.465795i
\(701\) 4.12818 + 18.0868i 0.155919 + 0.683127i 0.991096 + 0.133146i \(0.0425080\pi\)
−0.835177 + 0.549981i \(0.814635\pi\)
\(702\) 1.25699 + 1.99804i 0.0474420 + 0.0754110i
\(703\) 1.51430 + 1.03243i 0.0571130 + 0.0389390i
\(704\) 39.3294 + 5.79473i 1.48228 + 0.218397i
\(705\) 5.09902 + 2.94392i 0.192040 + 0.110875i
\(706\) −19.6879 16.9239i −0.740963 0.636939i
\(707\) 33.5948 + 31.8720i 1.26346 + 1.19867i
\(708\) −11.6608 + 4.59141i −0.438241 + 0.172556i
\(709\) −39.5643 + 26.9745i −1.48587 + 1.01305i −0.496431 + 0.868076i \(0.665356\pi\)
−0.989436 + 0.144971i \(0.953691\pi\)
\(710\) 4.08857 9.38525i 0.153441 0.352222i
\(711\) 10.9306 + 11.7804i 0.409930 + 0.441799i
\(712\) −28.9281 + 7.80267i −1.08413 + 0.292417i
\(713\) 0.447335 0.928900i 0.0167528 0.0347876i
\(714\) −1.34608 + 10.9120i −0.0503758 + 0.408370i
\(715\) −9.98959 20.7436i −0.373589 0.775767i
\(716\) −36.7060 + 11.3667i −1.37177 + 0.424795i
\(717\) 4.77762 2.75836i 0.178424 0.103013i
\(718\) −7.68898 + 40.7604i −0.286950 + 1.52117i
\(719\) −33.7820 + 5.09181i −1.25985 + 0.189892i −0.744813 0.667273i \(-0.767461\pi\)
−0.515041 + 0.857165i \(0.672223\pi\)
\(720\) 3.29614 + 10.6026i 0.122840 + 0.395136i
\(721\) 31.7838 + 7.62626i 1.18369 + 0.284017i
\(722\) −4.72219 24.8821i −0.175742 0.926016i
\(723\) −21.0121 1.57464i −0.781447 0.0585614i
\(724\) 5.04935 + 2.42477i 0.187658 + 0.0901159i
\(725\) 4.22717 10.7707i 0.156993 0.400012i
\(726\) −19.2425 + 2.17887i −0.714156 + 0.0808655i
\(727\) 5.69934 7.14674i 0.211377 0.265058i −0.664829 0.746996i \(-0.731495\pi\)
0.876205 + 0.481938i \(0.160067\pi\)
\(728\) −12.0342 3.34654i −0.446016 0.124031i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 29.1373 + 29.1051i 1.07842 + 1.07723i
\(731\) −2.11988 28.2878i −0.0784065 1.04626i
\(732\) −18.6898 23.3832i −0.690794 0.864268i
\(733\) 21.2555 22.9080i 0.785090 0.846125i −0.206106 0.978530i \(-0.566079\pi\)
0.991196 + 0.132404i \(0.0422697\pi\)
\(734\) 32.6293 14.2575i 1.20437 0.526252i
\(735\) 10.5868 + 16.2931i 0.390501 + 0.600979i
\(736\) −3.66699 + 1.95103i −0.135167 + 0.0719160i
\(737\) 2.63951 + 2.44911i 0.0972277 + 0.0902141i
\(738\) 1.99417 + 7.42593i 0.0734063 + 0.273352i
\(739\) −11.1389 + 0.834744i −0.409750 + 0.0307065i −0.278011 0.960578i \(-0.589675\pi\)
−0.131739 + 0.991284i \(0.542056\pi\)
\(740\) −3.54779 + 9.06906i −0.130419 + 0.333385i
\(741\) −1.36348 + 1.08734i −0.0500889 + 0.0399445i
\(742\) 27.2553 + 32.3547i 1.00057 + 1.18778i
\(743\) −0.966449 0.770718i −0.0354556 0.0282749i 0.605602 0.795768i \(-0.292932\pi\)
−0.641057 + 0.767493i \(0.721504\pi\)
\(744\) −2.35299 + 3.19928i −0.0862650 + 0.117291i
\(745\) 47.8241 + 18.7696i 1.75214 + 0.687664i
\(746\) 17.8264 15.3580i 0.652672 0.562297i
\(747\) −0.0883570 + 1.17904i −0.00323281 + 0.0431389i
\(748\) 16.4777 + 24.1111i 0.602486 + 0.881591i
\(749\) −5.37652 6.89751i −0.196454 0.252029i
\(750\) −7.24579 + 5.35382i −0.264579 + 0.195494i
\(751\) 5.80467 + 38.5115i 0.211815 + 1.40530i 0.801657 + 0.597785i \(0.203952\pi\)
−0.589841 + 0.807519i \(0.700810\pi\)
\(752\) 4.22604 7.35721i 0.154108 0.268290i
\(753\) −7.51830 13.0221i −0.273982 0.474551i
\(754\) −10.0342 1.12497i −0.365425 0.0409692i
\(755\) 12.7541 6.14204i 0.464169 0.223532i
\(756\) −5.22426 0.840869i −0.190005 0.0305821i
\(757\) −18.0674 8.70080i −0.656671 0.316236i 0.0757112 0.997130i \(-0.475877\pi\)
−0.732382 + 0.680894i \(0.761592\pi\)
\(758\) −1.39584 0.875990i −0.0506992 0.0318174i
\(759\) 2.67477 2.48183i 0.0970882 0.0900846i
\(760\) −7.51309 + 3.29276i −0.272528 + 0.119441i
\(761\) −10.2551 15.0415i −0.371748 0.545254i 0.594091 0.804398i \(-0.297512\pi\)
−0.965839 + 0.259144i \(0.916560\pi\)
\(762\) 0.854892 23.1902i 0.0309695 0.840093i
\(763\) 6.44035 20.0855i 0.233156 0.727143i
\(764\) −48.3097 14.8432i −1.74778 0.537006i
\(765\) −4.07826 + 7.06375i −0.147450 + 0.255391i
\(766\) −6.35695 4.68622i −0.229686 0.169320i
\(767\) 5.89182 8.64171i 0.212741 0.312034i
\(768\) 15.2682 4.78359i 0.550943 0.172613i
\(769\) −5.68570 + 1.29772i −0.205032 + 0.0467971i −0.323803 0.946124i \(-0.604962\pi\)
0.118772 + 0.992922i \(0.462104\pi\)
\(770\) 49.7087 + 13.8825i 1.79138 + 0.500290i
\(771\) −3.07650 0.702190i