Properties

Label 576.2.bm.a.205.35
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.35
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.35

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.558490 + 1.29926i) q^{2} +(-0.103681 - 1.72894i) q^{3} +(-1.37618 - 1.45125i) q^{4} +(-0.832536 - 0.949325i) q^{5} +(2.30426 + 0.830889i) q^{6} +(-0.877285 - 0.115497i) q^{7} +(2.65414 - 0.977509i) q^{8} +(-2.97850 + 0.358517i) q^{9} +O(q^{10})\) \(q+(-0.558490 + 1.29926i) q^{2} +(-0.103681 - 1.72894i) q^{3} +(-1.37618 - 1.45125i) q^{4} +(-0.832536 - 0.949325i) q^{5} +(2.30426 + 0.830889i) q^{6} +(-0.877285 - 0.115497i) q^{7} +(2.65414 - 0.977509i) q^{8} +(-2.97850 + 0.358517i) q^{9} +(1.69839 - 0.551496i) q^{10} +(-0.764844 - 1.55095i) q^{11} +(-2.36645 + 2.52980i) q^{12} +(-0.0664904 - 0.195874i) q^{13} +(0.640016 - 1.07532i) q^{14} +(-1.55501 + 1.53784i) q^{15} +(-0.212269 + 3.99436i) q^{16} +(-1.23907 - 1.23907i) q^{17} +(1.19765 - 4.07009i) q^{18} +(-1.64561 + 8.27306i) q^{19} +(-0.231993 + 2.51466i) q^{20} +(-0.108730 + 1.52875i) q^{21} +(2.44225 - 0.127545i) q^{22} +(0.139552 + 1.06001i) q^{23} +(-1.96524 - 4.48752i) q^{24} +(0.444529 - 3.37653i) q^{25} +(0.291627 + 0.0230053i) q^{26} +(0.928670 + 5.11249i) q^{27} +(1.03969 + 1.43211i) q^{28} +(-7.86257 + 0.515340i) q^{29} +(-1.12960 - 2.87924i) q^{30} +(-1.77296 + 1.02362i) q^{31} +(-5.07119 - 2.50661i) q^{32} +(-2.60221 + 1.48318i) q^{33} +(2.30188 - 0.917869i) q^{34} +(0.620727 + 0.928984i) q^{35} +(4.61925 + 3.82917i) q^{36} +(1.88482 + 9.47565i) q^{37} +(-9.82983 - 6.75851i) q^{38} +(-0.331762 + 0.135267i) q^{39} +(-3.13764 - 1.70583i) q^{40} +(-0.845937 - 6.42553i) q^{41} +(-1.92553 - 0.995062i) q^{42} +(-2.65477 + 1.30919i) q^{43} +(-1.19826 + 3.24437i) q^{44} +(2.82006 + 2.52909i) q^{45} +(-1.45517 - 0.410687i) q^{46} +(-8.46311 + 2.26768i) q^{47} +(6.92804 - 0.0471380i) q^{48} +(-6.00519 - 1.60909i) q^{49} +(4.13874 + 2.46332i) q^{50} +(-2.01381 + 2.27075i) q^{51} +(-0.192761 + 0.366052i) q^{52} +(0.236729 - 0.354291i) q^{53} +(-7.16113 - 1.64869i) q^{54} +(-0.835596 + 2.01731i) q^{55} +(-2.44134 + 0.551009i) q^{56} +(14.4743 + 1.98742i) q^{57} +(3.72160 - 10.5034i) q^{58} +(-1.23769 - 1.41131i) q^{59} +(4.37176 + 0.140381i) q^{60} +(-0.0941635 - 1.43666i) q^{61} +(-0.339771 - 2.87522i) q^{62} +(2.65440 + 0.0294854i) q^{63} +(6.08895 - 5.18890i) q^{64} +(-0.130593 + 0.226193i) q^{65} +(-0.473733 - 4.20930i) q^{66} +(1.75901 + 0.867446i) q^{67} +(-0.0930228 + 3.50338i) q^{68} +(1.81822 - 0.351181i) q^{69} +(-1.55367 + 0.287661i) q^{70} +(-3.07366 - 7.42046i) q^{71} +(-7.55491 + 3.86307i) q^{72} +(6.36028 - 15.3551i) q^{73} +(-13.3640 - 2.84317i) q^{74} +(-5.88392 - 0.418484i) q^{75} +(14.2710 - 8.99700i) q^{76} +(0.491857 + 1.44896i) q^{77} +(0.00953867 - 0.506592i) q^{78} +(2.71740 + 10.1415i) q^{79} +(3.96867 - 3.12394i) q^{80} +(8.74293 - 2.13569i) q^{81} +(8.82091 + 2.48950i) q^{82} +(-1.77455 - 1.55624i) q^{83} +(2.36824 - 1.94604i) q^{84} +(-0.144710 + 2.20784i) q^{85} +(-0.218319 - 4.18041i) q^{86} +(1.70619 + 13.5405i) q^{87} +(-3.54608 - 3.36880i) q^{88} +(8.28056 - 3.42992i) q^{89} +(-4.86093 + 2.25153i) q^{90} +(0.0357082 + 0.179517i) q^{91} +(1.34629 - 1.66128i) q^{92} +(1.95360 + 2.95922i) q^{93} +(1.78024 - 12.2623i) q^{94} +(9.22385 - 5.32539i) q^{95} +(-3.80800 + 9.02769i) q^{96} +(-3.16745 - 1.82873i) q^{97} +(5.44447 - 6.90368i) q^{98} +(2.83413 + 4.34530i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.558490 + 1.29926i −0.394912 + 0.918719i
\(3\) −0.103681 1.72894i −0.0598602 0.998207i
\(4\) −1.37618 1.45125i −0.688089 0.725626i
\(5\) −0.832536 0.949325i −0.372321 0.424551i 0.535090 0.844795i \(-0.320278\pi\)
−0.907411 + 0.420244i \(0.861944\pi\)
\(6\) 2.30426 + 0.830889i 0.940711 + 0.339209i
\(7\) −0.877285 0.115497i −0.331583 0.0436537i −0.0371030 0.999311i \(-0.511813\pi\)
−0.294480 + 0.955658i \(0.595146\pi\)
\(8\) 2.65414 0.977509i 0.938381 0.345602i
\(9\) −2.97850 + 0.358517i −0.992834 + 0.119506i
\(10\) 1.69839 0.551496i 0.537077 0.174398i
\(11\) −0.764844 1.55095i −0.230609 0.467629i 0.750554 0.660809i \(-0.229787\pi\)
−0.981163 + 0.193180i \(0.938120\pi\)
\(12\) −2.36645 + 2.52980i −0.683136 + 0.730291i
\(13\) −0.0664904 0.195874i −0.0184411 0.0543258i 0.937320 0.348470i \(-0.113299\pi\)
−0.955761 + 0.294144i \(0.904965\pi\)
\(14\) 0.640016 1.07532i 0.171051 0.287392i
\(15\) −1.55501 + 1.53784i −0.401502 + 0.397067i
\(16\) −0.212269 + 3.99436i −0.0530672 + 0.998591i
\(17\) −1.23907 1.23907i −0.300518 0.300518i 0.540699 0.841216i \(-0.318160\pi\)
−0.841216 + 0.540699i \(0.818160\pi\)
\(18\) 1.19765 4.07009i 0.282290 0.959329i
\(19\) −1.64561 + 8.27306i −0.377530 + 1.89797i 0.0589603 + 0.998260i \(0.481221\pi\)
−0.436490 + 0.899709i \(0.643779\pi\)
\(20\) −0.231993 + 2.51466i −0.0518753 + 0.562295i
\(21\) −0.108730 + 1.52875i −0.0237268 + 0.333601i
\(22\) 2.44225 0.127545i 0.520690 0.0271926i
\(23\) 0.139552 + 1.06001i 0.0290987 + 0.221027i 0.999816 0.0191995i \(-0.00611176\pi\)
−0.970717 + 0.240226i \(0.922778\pi\)
\(24\) −1.96524 4.48752i −0.401154 0.916011i
\(25\) 0.444529 3.37653i 0.0889057 0.675306i
\(26\) 0.291627 + 0.0230053i 0.0571927 + 0.00451170i
\(27\) 0.928670 + 5.11249i 0.178723 + 0.983899i
\(28\) 1.03969 + 1.43211i 0.196482 + 0.270643i
\(29\) −7.86257 + 0.515340i −1.46004 + 0.0956962i −0.774610 0.632440i \(-0.782054\pi\)
−0.685433 + 0.728136i \(0.740387\pi\)
\(30\) −1.12960 2.87924i −0.206235 0.525675i
\(31\) −1.77296 + 1.02362i −0.318432 + 0.183847i −0.650694 0.759340i \(-0.725522\pi\)
0.332261 + 0.943187i \(0.392188\pi\)
\(32\) −5.07119 2.50661i −0.896468 0.443109i
\(33\) −2.60221 + 1.48318i −0.452986 + 0.258188i
\(34\) 2.30188 0.917869i 0.394770 0.157413i
\(35\) 0.620727 + 0.928984i 0.104922 + 0.157027i
\(36\) 4.61925 + 3.82917i 0.769874 + 0.638196i
\(37\) 1.88482 + 9.47565i 0.309863 + 1.55779i 0.750972 + 0.660334i \(0.229585\pi\)
−0.441109 + 0.897454i \(0.645415\pi\)
\(38\) −9.82983 6.75851i −1.59461 1.09637i
\(39\) −0.331762 + 0.135267i −0.0531245 + 0.0216600i
\(40\) −3.13764 1.70583i −0.496105 0.269716i
\(41\) −0.845937 6.42553i −0.132113 1.00350i −0.921165 0.389173i \(-0.872761\pi\)
0.789052 0.614327i \(-0.210572\pi\)
\(42\) −1.92553 0.995062i −0.297116 0.153541i
\(43\) −2.65477 + 1.30919i −0.404848 + 0.199649i −0.633300 0.773906i \(-0.718300\pi\)
0.228452 + 0.973555i \(0.426634\pi\)
\(44\) −1.19826 + 3.24437i −0.180645 + 0.489107i
\(45\) 2.82006 + 2.52909i 0.420389 + 0.377014i
\(46\) −1.45517 0.410687i −0.214553 0.0605525i
\(47\) −8.46311 + 2.26768i −1.23447 + 0.330776i −0.816319 0.577601i \(-0.803989\pi\)
−0.418153 + 0.908377i \(0.637322\pi\)
\(48\) 6.92804 0.0471380i 0.999977 0.00680379i
\(49\) −6.00519 1.60909i −0.857884 0.229869i
\(50\) 4.13874 + 2.46332i 0.585307 + 0.348366i
\(51\) −2.01381 + 2.27075i −0.281990 + 0.317968i
\(52\) −0.192761 + 0.366052i −0.0267311 + 0.0507623i
\(53\) 0.236729 0.354291i 0.0325173 0.0486655i −0.814855 0.579665i \(-0.803183\pi\)
0.847372 + 0.531000i \(0.178183\pi\)
\(54\) −7.16113 1.64869i −0.974507 0.224358i
\(55\) −0.835596 + 2.01731i −0.112672 + 0.272014i
\(56\) −2.44134 + 0.551009i −0.326238 + 0.0736317i
\(57\) 14.4743 + 1.98742i 1.91716 + 0.263240i
\(58\) 3.72160 10.5034i 0.488670 1.37916i
\(59\) −1.23769 1.41131i −0.161133 0.183737i 0.665639 0.746274i \(-0.268159\pi\)
−0.826773 + 0.562536i \(0.809826\pi\)
\(60\) 4.37176 + 0.140381i 0.564392 + 0.0181232i
\(61\) −0.0941635 1.43666i −0.0120564 0.183945i −0.999640 0.0268478i \(-0.991453\pi\)
0.987583 0.157097i \(-0.0502136\pi\)
\(62\) −0.339771 2.87522i −0.0431510 0.365153i
\(63\) 2.65440 + 0.0294854i 0.334423 + 0.00371481i
\(64\) 6.08895 5.18890i 0.761119 0.648612i
\(65\) −0.130593 + 0.226193i −0.0161980 + 0.0280558i
\(66\) −0.473733 4.20930i −0.0583125 0.518129i
\(67\) 1.75901 + 0.867446i 0.214897 + 0.105975i 0.546552 0.837425i \(-0.315940\pi\)
−0.331655 + 0.943401i \(0.607607\pi\)
\(68\) −0.0930228 + 3.50338i −0.0112807 + 0.424847i
\(69\) 1.81822 0.351181i 0.218888 0.0422772i
\(70\) −1.55367 + 0.287661i −0.185699 + 0.0343820i
\(71\) −3.07366 7.42046i −0.364776 0.880647i −0.994588 0.103899i \(-0.966868\pi\)
0.629812 0.776748i \(-0.283132\pi\)
\(72\) −7.55491 + 3.86307i −0.890355 + 0.455267i
\(73\) 6.36028 15.3551i 0.744414 1.79717i 0.157512 0.987517i \(-0.449653\pi\)
0.586902 0.809658i \(-0.300347\pi\)
\(74\) −13.3640 2.84317i −1.55354 0.330512i
\(75\) −5.88392 0.418484i −0.679417 0.0483223i
\(76\) 14.2710 8.99700i 1.63699 1.03203i
\(77\) 0.491857 + 1.44896i 0.0560523 + 0.165125i
\(78\) 0.00953867 0.506592i 0.00108004 0.0573602i
\(79\) 2.71740 + 10.1415i 0.305732 + 1.14101i 0.932314 + 0.361651i \(0.117787\pi\)
−0.626582 + 0.779356i \(0.715547\pi\)
\(80\) 3.96867 3.12394i 0.443711 0.349267i
\(81\) 8.74293 2.13569i 0.971437 0.237299i
\(82\) 8.82091 + 2.48950i 0.974107 + 0.274919i
\(83\) −1.77455 1.55624i −0.194783 0.170820i 0.556399 0.830915i \(-0.312183\pi\)
−0.751182 + 0.660095i \(0.770516\pi\)
\(84\) 2.36824 1.94604i 0.258396 0.212330i
\(85\) −0.144710 + 2.20784i −0.0156960 + 0.239474i
\(86\) −0.218319 4.18041i −0.0235419 0.450785i
\(87\) 1.70619 + 13.5405i 0.182923 + 1.45170i
\(88\) −3.54608 3.36880i −0.378013 0.359116i
\(89\) 8.28056 3.42992i 0.877738 0.363571i 0.102119 0.994772i \(-0.467438\pi\)
0.775619 + 0.631201i \(0.217438\pi\)
\(90\) −4.86093 + 2.25153i −0.512387 + 0.237332i
\(91\) 0.0357082 + 0.179517i 0.00374323 + 0.0188185i
\(92\) 1.34629 1.66128i 0.140360 0.173201i
\(93\) 1.95360 + 2.95922i 0.202579 + 0.306856i
\(94\) 1.78024 12.2623i 0.183618 1.26476i
\(95\) 9.22385 5.32539i 0.946347 0.546374i
\(96\) −3.80800 + 9.02769i −0.388652 + 0.921385i
\(97\) −3.16745 1.82873i −0.321606 0.185679i 0.330502 0.943805i \(-0.392782\pi\)
−0.652108 + 0.758126i \(0.726115\pi\)
\(98\) 5.44447 6.90368i 0.549974 0.697376i
\(99\) 2.83413 + 4.34530i 0.284841 + 0.436719i
\(100\) −5.51195 + 4.00158i −0.551195 + 0.400158i
\(101\) −0.680206 0.230899i −0.0676830 0.0229753i 0.287393 0.957813i \(-0.407212\pi\)
−0.355076 + 0.934838i \(0.615545\pi\)
\(102\) −1.82561 3.88466i −0.180762 0.384639i
\(103\) 11.5457 + 8.85930i 1.13763 + 0.872933i 0.993181 0.116580i \(-0.0371931\pi\)
0.144447 + 0.989513i \(0.453860\pi\)
\(104\) −0.367944 0.454884i −0.0360799 0.0446050i
\(105\) 1.54180 1.16952i 0.150465 0.114134i
\(106\) 0.328106 + 0.505442i 0.0318685 + 0.0490929i
\(107\) −10.5857 7.07311i −1.02335 0.683783i −0.0737632 0.997276i \(-0.523501\pi\)
−0.949591 + 0.313493i \(0.898501\pi\)
\(108\) 6.14150 8.38343i 0.590966 0.806696i
\(109\) 0.524468 2.63668i 0.0502350 0.252548i −0.947505 0.319741i \(-0.896404\pi\)
0.997740 + 0.0671925i \(0.0214042\pi\)
\(110\) −2.15434 2.21231i −0.205409 0.210935i
\(111\) 16.1875 4.24120i 1.53645 0.402557i
\(112\) 0.647556 3.47968i 0.0611883 0.328799i
\(113\) −10.3318 2.76839i −0.971931 0.260428i −0.262288 0.964990i \(-0.584477\pi\)
−0.709643 + 0.704562i \(0.751144\pi\)
\(114\) −10.6659 + 17.6960i −0.998955 + 1.65738i
\(115\) 0.890108 1.01497i 0.0830030 0.0946468i
\(116\) 11.5682 + 10.7014i 1.07408 + 0.993598i
\(117\) 0.268266 + 0.559574i 0.0248012 + 0.0517326i
\(118\) 2.52490 0.819880i 0.232436 0.0754761i
\(119\) 0.943906 + 1.23012i 0.0865278 + 0.112765i
\(120\) −2.62398 + 5.60167i −0.239535 + 0.511360i
\(121\) 4.87591 6.35441i 0.443265 0.577674i
\(122\) 1.91919 + 0.680015i 0.173755 + 0.0615657i
\(123\) −11.0217 + 2.12878i −0.993792 + 0.191946i
\(124\) 3.92543 + 1.16433i 0.352514 + 0.104560i
\(125\) −8.82487 + 5.89659i −0.789320 + 0.527407i
\(126\) −1.52077 + 3.43230i −0.135481 + 0.305774i
\(127\) −22.3348 −1.98189 −0.990945 0.134265i \(-0.957133\pi\)
−0.990945 + 0.134265i \(0.957133\pi\)
\(128\) 3.34114 + 10.8091i 0.295317 + 0.955399i
\(129\) 2.53876 + 4.45421i 0.223525 + 0.392171i
\(130\) −0.220950 0.296001i −0.0193786 0.0259610i
\(131\) 7.57919 + 3.73764i 0.662197 + 0.326559i 0.742145 0.670240i \(-0.233809\pi\)
−0.0799477 + 0.996799i \(0.525475\pi\)
\(132\) 5.73357 + 1.73535i 0.499043 + 0.151043i
\(133\) 2.39918 7.06777i 0.208036 0.612853i
\(134\) −2.10943 + 1.80095i −0.182227 + 0.155579i
\(135\) 4.08026 5.13794i 0.351173 0.442204i
\(136\) −4.49986 2.07746i −0.385860 0.178141i
\(137\) 3.29453 + 4.29352i 0.281471 + 0.366820i 0.912597 0.408860i \(-0.134074\pi\)
−0.631126 + 0.775680i \(0.717407\pi\)
\(138\) −0.559182 + 2.55848i −0.0476008 + 0.217793i
\(139\) −6.24857 0.409553i −0.529996 0.0347378i −0.201944 0.979397i \(-0.564726\pi\)
−0.328053 + 0.944659i \(0.606392\pi\)
\(140\) 0.493959 2.17928i 0.0417472 0.184183i
\(141\) 4.79816 + 14.3971i 0.404078 + 1.21246i
\(142\) 11.3577 + 0.150761i 0.953121 + 0.0126516i
\(143\) −0.252937 + 0.252937i −0.0211516 + 0.0211516i
\(144\) −0.799805 11.9733i −0.0666504 0.997776i
\(145\) 7.03509 + 7.03509i 0.584233 + 0.584233i
\(146\) 16.3981 + 16.8393i 1.35712 + 1.39363i
\(147\) −2.15940 + 10.5495i −0.178104 + 0.870106i
\(148\) 11.1577 15.7755i 0.917158 1.29674i
\(149\) 0.301219 4.59572i 0.0246768 0.376496i −0.967603 0.252477i \(-0.918755\pi\)
0.992280 0.124019i \(-0.0395784\pi\)
\(150\) 3.82983 7.41106i 0.312705 0.605110i
\(151\) −10.1691 + 7.80302i −0.827549 + 0.635001i −0.933182 0.359404i \(-0.882980\pi\)
0.105633 + 0.994405i \(0.466313\pi\)
\(152\) 3.71930 + 23.5665i 0.301675 + 1.91149i
\(153\) 4.13479 + 3.24633i 0.334278 + 0.262451i
\(154\) −2.15728 0.170179i −0.173839 0.0137134i
\(155\) 2.44780 + 0.830915i 0.196612 + 0.0667407i
\(156\) 0.652870 + 0.295320i 0.0522714 + 0.0236445i
\(157\) −4.14530 + 8.40584i −0.330831 + 0.670859i −0.997201 0.0747618i \(-0.976180\pi\)
0.666370 + 0.745621i \(0.267847\pi\)
\(158\) −14.6941 2.13329i −1.16900 0.169716i
\(159\) −0.637093 0.372559i −0.0505248 0.0295458i
\(160\) 1.84236 + 6.90104i 0.145651 + 0.545575i
\(161\) 0.946045i 0.0745588i
\(162\) −2.10802 + 12.5521i −0.165621 + 0.986189i
\(163\) −5.24135 7.84423i −0.410534 0.614408i 0.567370 0.823463i \(-0.307961\pi\)
−0.977904 + 0.209056i \(0.932961\pi\)
\(164\) −8.16091 + 10.0703i −0.637260 + 0.786362i
\(165\) 3.57445 + 1.23554i 0.278271 + 0.0961869i
\(166\) 3.01304 1.43647i 0.233857 0.111492i
\(167\) 3.48051 + 2.67069i 0.269330 + 0.206664i 0.734593 0.678508i \(-0.237373\pi\)
−0.465262 + 0.885173i \(0.654040\pi\)
\(168\) 1.20578 + 4.16381i 0.0930283 + 0.321245i
\(169\) 10.2796 7.88785i 0.790742 0.606758i
\(170\) −2.78776 1.42108i −0.213811 0.108991i
\(171\) 1.93543 25.2313i 0.148006 1.92948i
\(172\) 5.55339 + 2.05106i 0.423442 + 0.156392i
\(173\) −1.92779 1.69062i −0.146567 0.128536i 0.582923 0.812528i \(-0.301909\pi\)
−0.729490 + 0.683992i \(0.760242\pi\)
\(174\) −18.5456 5.34545i −1.40594 0.405237i
\(175\) −0.779957 + 2.91084i −0.0589592 + 0.220039i
\(176\) 6.35742 2.72585i 0.479208 0.205469i
\(177\) −2.31176 + 2.28622i −0.173762 + 0.171843i
\(178\) −0.168235 + 12.6742i −0.0126098 + 0.949973i
\(179\) 9.94158 + 1.97750i 0.743069 + 0.147806i 0.552085 0.833788i \(-0.313832\pi\)
0.190983 + 0.981593i \(0.438832\pi\)
\(180\) −0.210557 7.57309i −0.0156940 0.564465i
\(181\) 6.12021 9.15953i 0.454911 0.680823i −0.531136 0.847286i \(-0.678235\pi\)
0.986048 + 0.166464i \(0.0532348\pi\)
\(182\) −0.253183 0.0538641i −0.0187672 0.00399267i
\(183\) −2.47414 + 0.311757i −0.182894 + 0.0230458i
\(184\) 1.40656 + 2.67699i 0.103693 + 0.197351i
\(185\) 7.42629 9.67813i 0.545992 0.711550i
\(186\) −4.93587 + 0.885551i −0.361916 + 0.0649317i
\(187\) −0.974039 + 2.86943i −0.0712288 + 0.209833i
\(188\) 14.9377 + 9.16138i 1.08945 + 0.668162i
\(189\) −0.224232 4.59237i −0.0163105 0.334046i
\(190\) 1.76767 + 14.9584i 0.128240 + 1.08520i
\(191\) 2.04121 3.53548i 0.147697 0.255819i −0.782679 0.622426i \(-0.786147\pi\)
0.930376 + 0.366607i \(0.119481\pi\)
\(192\) −9.60263 9.98947i −0.693010 0.720928i
\(193\) 0.658806 + 1.14109i 0.0474219 + 0.0821372i 0.888762 0.458369i \(-0.151566\pi\)
−0.841340 + 0.540506i \(0.818233\pi\)
\(194\) 4.14499 3.09403i 0.297593 0.222138i
\(195\) 0.404616 + 0.202336i 0.0289751 + 0.0144896i
\(196\) 5.92902 + 10.9294i 0.423501 + 0.780674i
\(197\) 14.4739 2.87904i 1.03122 0.205123i 0.349655 0.936879i \(-0.386299\pi\)
0.681567 + 0.731756i \(0.261299\pi\)
\(198\) −7.22853 + 1.25548i −0.513709 + 0.0892232i
\(199\) −6.01873 14.5305i −0.426656 1.03004i −0.980341 0.197313i \(-0.936778\pi\)
0.553684 0.832727i \(-0.313222\pi\)
\(200\) −2.12075 9.39633i −0.149959 0.664421i
\(201\) 1.31739 3.13116i 0.0929216 0.220855i
\(202\) 0.679887 0.754813i 0.0478367 0.0531084i
\(203\) 6.95723 + 0.456001i 0.488302 + 0.0320050i
\(204\) 6.06679 0.202402i 0.424760 0.0141710i
\(205\) −5.39564 + 6.15255i −0.376848 + 0.429713i
\(206\) −17.9587 + 10.0530i −1.25124 + 0.700429i
\(207\) −0.795688 3.10720i −0.0553041 0.215965i
\(208\) 0.796507 0.224009i 0.0552278 0.0155322i
\(209\) 14.0897 3.77534i 0.974608 0.261145i
\(210\) 0.658435 + 2.65638i 0.0454363 + 0.183307i
\(211\) 1.77250 0.601681i 0.122024 0.0414214i −0.259760 0.965673i \(-0.583643\pi\)
0.381783 + 0.924252i \(0.375310\pi\)
\(212\) −0.839947 + 0.144013i −0.0576878 + 0.00989083i
\(213\) −12.5109 + 6.08354i −0.857232 + 0.416837i
\(214\) 15.1018 9.80331i 1.03234 0.670140i
\(215\) 3.45303 + 1.43029i 0.235495 + 0.0975451i
\(216\) 7.46233 + 12.6615i 0.507747 + 0.861506i
\(217\) 1.67361 0.693233i 0.113612 0.0470597i
\(218\) 3.13284 + 2.15398i 0.212182 + 0.145886i
\(219\) −27.2075 9.40454i −1.83851 0.635500i
\(220\) 4.07755 1.56351i 0.274909 0.105412i
\(221\) −0.160315 + 0.325087i −0.0107840 + 0.0218677i
\(222\) −3.53009 + 23.4005i −0.236924 + 1.57054i
\(223\) 3.17817 + 1.83492i 0.212826 + 0.122875i 0.602624 0.798025i \(-0.294122\pi\)
−0.389798 + 0.920900i \(0.627455\pi\)
\(224\) 4.15937 + 2.78471i 0.277910 + 0.186061i
\(225\) −0.113485 + 10.2164i −0.00756563 + 0.681091i
\(226\) 9.36705 11.8776i 0.623087 0.790085i
\(227\) −22.1233 + 1.45004i −1.46838 + 0.0962424i −0.778482 0.627668i \(-0.784010\pi\)
−0.689894 + 0.723910i \(0.742343\pi\)
\(228\) −17.0349 23.7409i −1.12817 1.57228i
\(229\) −10.9125 + 9.56998i −0.721116 + 0.632402i −0.939137 0.343542i \(-0.888373\pi\)
0.218021 + 0.975944i \(0.430040\pi\)
\(230\) 0.821603 + 1.72334i 0.0541749 + 0.113634i
\(231\) 2.45418 1.00062i 0.161473 0.0658362i
\(232\) −20.3646 + 9.05352i −1.33700 + 0.594393i
\(233\) −14.0401 5.81560i −0.919797 0.380992i −0.127998 0.991774i \(-0.540855\pi\)
−0.791799 + 0.610782i \(0.790855\pi\)
\(234\) −0.876859 + 0.0360321i −0.0573220 + 0.00235549i
\(235\) 9.19861 + 6.14632i 0.600051 + 0.400941i
\(236\) −0.344892 + 3.73841i −0.0224506 + 0.243350i
\(237\) 17.2523 5.74972i 1.12066 0.373484i
\(238\) −2.12542 + 0.539373i −0.137770 + 0.0349624i
\(239\) 5.97064 22.2827i 0.386209 1.44135i −0.450044 0.893006i \(-0.648592\pi\)
0.836253 0.548344i \(-0.184742\pi\)
\(240\) −5.81259 6.53772i −0.375201 0.422008i
\(241\) −5.49799 20.5188i −0.354157 1.32173i −0.881543 0.472105i \(-0.843494\pi\)
0.527386 0.849626i \(-0.323172\pi\)
\(242\) 5.53292 + 9.88398i 0.355669 + 0.635366i
\(243\) −4.59896 14.8946i −0.295023 0.955490i
\(244\) −1.95537 + 2.11375i −0.125180 + 0.135319i
\(245\) 3.47199 + 7.04050i 0.221817 + 0.449801i
\(246\) 3.38964 15.5090i 0.216116 0.988817i
\(247\) 1.72990 0.227745i 0.110071 0.0144911i
\(248\) −3.70509 + 4.44991i −0.235273 + 0.282569i
\(249\) −2.50667 + 3.22946i −0.158854 + 0.204659i
\(250\) −2.73263 14.7590i −0.172827 0.933443i
\(251\) 9.21281 1.83254i 0.581507 0.115669i 0.104433 0.994532i \(-0.466697\pi\)
0.477074 + 0.878863i \(0.341697\pi\)
\(252\) −3.61014 3.89278i −0.227417 0.245222i
\(253\) 1.53728 1.02718i 0.0966481 0.0645782i
\(254\) 12.4737 29.0188i 0.782673 1.82080i
\(255\) 3.83224 + 0.0212838i 0.239984 + 0.00133285i
\(256\) −15.9099 1.69576i −0.994368 0.105985i
\(257\) −8.56276 14.8311i −0.534130 0.925141i −0.999205 0.0398692i \(-0.987306\pi\)
0.465075 0.885271i \(-0.346027\pi\)
\(258\) −7.20506 + 0.810890i −0.448568 + 0.0504838i
\(259\) −0.559121 8.53054i −0.0347421 0.530062i
\(260\) 0.507983 0.121759i 0.0315037 0.00755118i
\(261\) 23.2339 4.35381i 1.43814 0.269494i
\(262\) −9.08909 + 7.75994i −0.561526 + 0.479411i
\(263\) 1.79497 + 0.236312i 0.110683 + 0.0145716i 0.185664 0.982613i \(-0.440556\pi\)
−0.0749814 + 0.997185i \(0.523890\pi\)
\(264\) −5.45682 + 6.48025i −0.335844 + 0.398832i
\(265\) −0.533422 + 0.0702264i −0.0327679 + 0.00431397i
\(266\) 7.84298 + 7.06445i 0.480884 + 0.433149i
\(267\) −6.78868 13.9610i −0.415461 0.854401i
\(268\) −1.16182 3.74652i −0.0709696 0.228855i
\(269\) −22.5442 4.48431i −1.37454 0.273413i −0.548089 0.836420i \(-0.684645\pi\)
−0.826452 + 0.563007i \(0.809645\pi\)
\(270\) 4.39676 + 8.17083i 0.267578 + 0.497261i
\(271\) −14.4621 + 14.4621i −0.878509 + 0.878509i −0.993380 0.114871i \(-0.963354\pi\)
0.114871 + 0.993380i \(0.463354\pi\)
\(272\) 5.21230 4.68627i 0.316042 0.284147i
\(273\) 0.306673 0.0803499i 0.0185607 0.00486300i
\(274\) −7.41839 + 1.88258i −0.448161 + 0.113731i
\(275\) −5.57683 + 1.89308i −0.336295 + 0.114157i
\(276\) −3.01185 2.15541i −0.181292 0.129741i
\(277\) −9.82861 + 4.84693i −0.590544 + 0.291224i −0.712904 0.701262i \(-0.752620\pi\)
0.122360 + 0.992486i \(0.460954\pi\)
\(278\) 4.02188 7.88981i 0.241216 0.473199i
\(279\) 4.91377 3.68448i 0.294180 0.220584i
\(280\) 2.55559 + 1.85889i 0.152726 + 0.111090i
\(281\) −2.78315 + 21.1401i −0.166029 + 1.26111i 0.682075 + 0.731282i \(0.261078\pi\)
−0.848104 + 0.529830i \(0.822256\pi\)
\(282\) −21.3854 1.80657i −1.27348 0.107580i
\(283\) −5.09489 + 4.46810i −0.302860 + 0.265601i −0.797263 0.603632i \(-0.793720\pi\)
0.494404 + 0.869232i \(0.335386\pi\)
\(284\) −6.53907 + 14.6725i −0.388022 + 0.870654i
\(285\) −10.1636 15.3954i −0.602043 0.911944i
\(286\) −0.187369 0.469894i −0.0110794 0.0277854i
\(287\) 5.73472i 0.338510i
\(288\) 16.0032 + 5.64782i 0.942997 + 0.332801i
\(289\) 13.9294i 0.819378i
\(290\) −13.0695 + 5.21142i −0.767466 + 0.306025i
\(291\) −2.83337 + 5.66595i −0.166095 + 0.332144i
\(292\) −31.0370 + 11.9009i −1.81630 + 0.696450i
\(293\) −18.1711 + 15.9356i −1.06157 + 0.930968i −0.997753 0.0669942i \(-0.978659\pi\)
−0.0638119 + 0.997962i \(0.520326\pi\)
\(294\) −12.5006 8.69741i −0.729048 0.507243i
\(295\) −0.309375 + 2.34994i −0.0180125 + 0.136819i
\(296\) 14.2651 + 23.3073i 0.829144 + 1.35471i
\(297\) 7.21894 5.35058i 0.418885 0.310472i
\(298\) 5.80283 + 2.95803i 0.336149 + 0.171354i
\(299\) 0.198349 0.0978150i 0.0114708 0.00565679i
\(300\) 7.49000 + 9.11497i 0.432435 + 0.526253i
\(301\) 2.48019 0.841912i 0.142956 0.0485270i
\(302\) −4.45885 17.5703i −0.256578 1.01105i
\(303\) −0.328687 + 1.19998i −0.0188826 + 0.0689369i
\(304\) −32.6963 8.32929i −1.87526 0.477718i
\(305\) −1.28546 + 1.28546i −0.0736052 + 0.0736052i
\(306\) −6.52709 + 3.55914i −0.373129 + 0.203462i
\(307\) 12.2346 + 2.43362i 0.698268 + 0.138894i 0.531445 0.847093i \(-0.321649\pi\)
0.166823 + 0.985987i \(0.446649\pi\)
\(308\) 1.42593 2.70784i 0.0812499 0.154293i
\(309\) 14.1202 20.8804i 0.803269 1.18784i
\(310\) −2.44665 + 2.71628i −0.138960 + 0.154274i
\(311\) 19.4129 2.55576i 1.10080 0.144924i 0.441837 0.897095i \(-0.354327\pi\)
0.658967 + 0.752171i \(0.270994\pi\)
\(312\) −0.748320 + 0.683318i −0.0423653 + 0.0386852i
\(313\) −11.8890 1.56521i −0.672004 0.0884710i −0.213200 0.977009i \(-0.568389\pi\)
−0.458804 + 0.888538i \(0.651722\pi\)
\(314\) −8.60630 10.0804i −0.485682 0.568871i
\(315\) −2.18189 2.54444i −0.122936 0.143363i
\(316\) 10.9782 17.9001i 0.617574 1.00696i
\(317\) −1.77310 27.0522i −0.0995870 1.51940i −0.696767 0.717297i \(-0.745379\pi\)
0.597180 0.802107i \(-0.296288\pi\)
\(318\) 0.839863 0.619682i 0.0470972 0.0347501i
\(319\) 6.81291 + 11.8003i 0.381450 + 0.660690i
\(320\) −9.99522 1.46045i −0.558750 0.0816416i
\(321\) −11.1315 + 19.0354i −0.621299 + 1.06245i
\(322\) 1.22916 + 0.528357i 0.0684986 + 0.0294442i
\(323\) 12.2899 8.21185i 0.683828 0.456919i
\(324\) −15.1313 9.74912i −0.840625 0.541618i
\(325\) −0.690933 + 0.137435i −0.0383260 + 0.00762353i
\(326\) 13.1190 2.42897i 0.726593 0.134528i
\(327\) −4.61305 0.633404i −0.255102 0.0350273i
\(328\) −8.52625 16.2274i −0.470784 0.896006i
\(329\) 7.68647 1.01194i 0.423769 0.0557902i
\(330\) −3.60159 + 3.95412i −0.198261 + 0.217667i
\(331\) −11.7757 23.8788i −0.647251 1.31249i −0.934952 0.354775i \(-0.884558\pi\)
0.287701 0.957720i \(-0.407109\pi\)
\(332\) 0.183601 + 4.71699i 0.0100764 + 0.258879i
\(333\) −9.01113 27.5475i −0.493807 1.50959i
\(334\) −5.41377 + 3.03055i −0.296228 + 0.165825i
\(335\) −0.640947 2.39205i −0.0350187 0.130692i
\(336\) −6.08331 0.758813i −0.331872 0.0413966i
\(337\) −7.87591 + 29.3933i −0.429028 + 1.60116i 0.325937 + 0.945391i \(0.394320\pi\)
−0.754966 + 0.655764i \(0.772347\pi\)
\(338\) 4.50733 + 17.7613i 0.245166 + 0.966086i
\(339\) −3.71518 + 18.1501i −0.201781 + 0.985777i
\(340\) 3.40329 2.82838i 0.184569 0.153390i
\(341\) 2.94362 + 1.96686i 0.159406 + 0.106512i
\(342\) 31.7012 + 16.6061i 1.71420 + 0.897952i
\(343\) 10.8049 + 4.47554i 0.583411 + 0.241657i
\(344\) −5.76639 + 6.06982i −0.310903 + 0.327263i
\(345\) −1.84712 1.43371i −0.0994456 0.0771886i
\(346\) 3.27322 1.56051i 0.175969 0.0838934i
\(347\) 15.5588 13.6447i 0.835242 0.732487i −0.130652 0.991428i \(-0.541707\pi\)
0.965893 + 0.258941i \(0.0833736\pi\)
\(348\) 17.3027 21.1103i 0.927521 1.13163i
\(349\) 10.3511 0.678448i 0.554083 0.0363165i 0.214209 0.976788i \(-0.431283\pi\)
0.339873 + 0.940471i \(0.389616\pi\)
\(350\) −3.34635 2.63904i −0.178870 0.141063i
\(351\) 0.939658 0.521834i 0.0501553 0.0278535i
\(352\) −0.00895453 + 9.78233i −0.000477278 + 0.521400i
\(353\) 12.5365 + 7.23794i 0.667250 + 0.385237i 0.795034 0.606565i \(-0.207453\pi\)
−0.127784 + 0.991802i \(0.540786\pi\)
\(354\) −1.67931 4.28042i −0.0892544 0.227501i
\(355\) −4.48550 + 9.09570i −0.238066 + 0.482749i
\(356\) −16.3732 7.29701i −0.867778 0.386741i
\(357\) 2.02895 1.75950i 0.107383 0.0931227i
\(358\) −8.12157 + 11.8123i −0.429238 + 0.624301i
\(359\) 26.0464 10.7888i 1.37468 0.569410i 0.431625 0.902053i \(-0.357940\pi\)
0.943053 + 0.332642i \(0.107940\pi\)
\(360\) 9.95704 + 3.95593i 0.524782 + 0.208496i
\(361\) −48.1817 19.9575i −2.53588 1.05040i
\(362\) 8.48259 + 13.0673i 0.445835 + 0.686801i
\(363\) −11.4920 7.77135i −0.603172 0.407890i
\(364\) 0.211384 0.298869i 0.0110795 0.0156650i
\(365\) −19.8721 + 6.74567i −1.04015 + 0.353085i
\(366\) 0.976726 3.38867i 0.0510543 0.177129i
\(367\) 6.02629 1.61474i 0.314570 0.0842887i −0.0980798 0.995179i \(-0.531270\pi\)
0.412650 + 0.910890i \(0.364603\pi\)
\(368\) −4.26367 + 0.332417i −0.222259 + 0.0173284i
\(369\) 4.82329 + 18.8352i 0.251090 + 0.980519i
\(370\) 8.42694 + 15.0539i 0.438096 + 0.782613i
\(371\) −0.248599 + 0.283472i −0.0129066 + 0.0147171i
\(372\) 1.60607 6.90757i 0.0832708 0.358141i
\(373\) −9.68679 0.634906i −0.501563 0.0328742i −0.187477 0.982269i \(-0.560031\pi\)
−0.314085 + 0.949395i \(0.601698\pi\)
\(374\) −3.18415 2.86808i −0.164649 0.148305i
\(375\) 11.1098 + 14.6463i 0.573710 + 0.756334i
\(376\) −20.2456 + 14.2915i −1.04409 + 0.737029i
\(377\) 0.623727 + 1.50581i 0.0321236 + 0.0775532i
\(378\) 6.09194 + 2.27346i 0.313335 + 0.116934i
\(379\) −6.44185 + 1.28136i −0.330896 + 0.0658193i −0.357742 0.933820i \(-0.616453\pi\)
0.0268466 + 0.999640i \(0.491453\pi\)
\(380\) −20.4222 6.05745i −1.04763 0.310741i
\(381\) 2.31569 + 38.6156i 0.118636 + 1.97834i
\(382\) 3.45353 + 4.62661i 0.176698 + 0.236718i
\(383\) 6.60102 + 11.4333i 0.337296 + 0.584214i 0.983923 0.178592i \(-0.0571543\pi\)
−0.646627 + 0.762806i \(0.723821\pi\)
\(384\) 18.3419 6.89734i 0.936008 0.351978i
\(385\) 0.966049 1.67325i 0.0492344 0.0852765i
\(386\) −1.85051 + 0.218679i −0.0941885 + 0.0111305i
\(387\) 7.43786 4.85119i 0.378087 0.246600i
\(388\) 1.70503 + 7.11343i 0.0865597 + 0.361129i
\(389\) −3.29095 + 9.69483i −0.166858 + 0.491547i −0.997908 0.0646502i \(-0.979407\pi\)
0.831050 + 0.556197i \(0.187740\pi\)
\(390\) −0.488862 + 0.412701i −0.0247545 + 0.0208979i
\(391\) 1.14050 1.48633i 0.0576777 0.0751671i
\(392\) −17.5115 + 1.59939i −0.884466 + 0.0807812i
\(393\) 5.67636 13.4915i 0.286335 0.680558i
\(394\) −4.34289 + 20.4133i −0.218792 + 1.02841i
\(395\) 7.36523 11.0228i 0.370585 0.554620i
\(396\) 2.40586 10.0929i 0.120899 0.507190i
\(397\) 23.3100 + 4.63664i 1.16989 + 0.232706i 0.741542 0.670906i \(-0.234095\pi\)
0.428351 + 0.903612i \(0.359095\pi\)
\(398\) 22.2404 + 0.295215i 1.11481 + 0.0147978i
\(399\) −12.4685 3.41526i −0.624207 0.170977i
\(400\) 13.3927 + 2.49234i 0.669637 + 0.124617i
\(401\) 6.31275 23.5595i 0.315244 1.17651i −0.608519 0.793540i \(-0.708236\pi\)
0.923762 0.382966i \(-0.125097\pi\)
\(402\) 3.33246 + 3.46036i 0.166208 + 0.172587i
\(403\) 0.318385 + 0.279216i 0.0158599 + 0.0139087i
\(404\) 0.600992 + 1.30491i 0.0299005 + 0.0649216i
\(405\) −9.30626 6.52185i −0.462432 0.324073i
\(406\) −4.47801 + 8.78462i −0.222240 + 0.435973i
\(407\) 13.2547 10.1707i 0.657010 0.504141i
\(408\) −3.12527 + 7.99540i −0.154724 + 0.395831i
\(409\) 17.0813 + 13.1069i 0.844616 + 0.648096i 0.937655 0.347566i \(-0.112992\pi\)
−0.0930400 + 0.995662i \(0.529658\pi\)
\(410\) −4.98038 10.4465i −0.245964 0.515916i
\(411\) 7.08168 6.14122i 0.349314 0.302924i
\(412\) −3.03180 28.9476i −0.149366 1.42615i
\(413\) 0.922803 + 1.38107i 0.0454082 + 0.0679581i
\(414\) 4.48146 + 0.701530i 0.220251 + 0.0344783i
\(415\) 2.98025i 0.146295i
\(416\) −0.153795 + 1.15998i −0.00754040 + 0.0568727i
\(417\) −0.0602368 + 10.8459i −0.00294981 + 0.531125i
\(418\) −2.96382 + 20.4148i −0.144965 + 0.998520i
\(419\) −9.62703 + 19.5217i −0.470311 + 0.953696i 0.524447 + 0.851443i \(0.324272\pi\)
−0.994758 + 0.102254i \(0.967395\pi\)
\(420\) −3.81907 0.628079i −0.186351 0.0306471i
\(421\) 30.8979 + 10.4884i 1.50587 + 0.511174i 0.947867 0.318665i \(-0.103235\pi\)
0.558002 + 0.829839i \(0.311568\pi\)
\(422\) −0.208178 + 2.63897i −0.0101339 + 0.128463i
\(423\) 24.3944 9.78847i 1.18610 0.475932i
\(424\) 0.281991 1.17174i 0.0136947 0.0569049i
\(425\) −4.73455 + 3.63295i −0.229659 + 0.176224i
\(426\) −0.916925 19.6526i −0.0444252 0.952169i
\(427\) −0.0833210 + 1.27123i −0.00403219 + 0.0615193i
\(428\) 4.30288 + 25.0963i 0.207987 + 1.21308i
\(429\) 0.463538 + 0.411089i 0.0223798 + 0.0198476i
\(430\) −3.78681 + 3.68760i −0.182616 + 0.177832i
\(431\) 10.0845 + 10.0845i 0.485751 + 0.485751i 0.906963 0.421211i \(-0.138395\pi\)
−0.421211 + 0.906963i \(0.638395\pi\)
\(432\) −20.6183 + 2.62422i −0.991997 + 0.126258i
\(433\) −16.0076 + 16.0076i −0.769275 + 0.769275i −0.977979 0.208704i \(-0.933076\pi\)
0.208704 + 0.977979i \(0.433076\pi\)
\(434\) −0.0340026 + 2.56163i −0.00163218 + 0.122962i
\(435\) 11.4339 12.8927i 0.548213 0.618157i
\(436\) −4.54825 + 2.86741i −0.217822 + 0.137324i
\(437\) −8.99914 0.589835i −0.430487 0.0282156i
\(438\) 27.4141 30.0974i 1.30990 1.43811i
\(439\) 18.3122 + 23.8650i 0.873995 + 1.13901i 0.989331 + 0.145686i \(0.0465391\pi\)
−0.115335 + 0.993327i \(0.536794\pi\)
\(440\) −0.245855 + 6.17103i −0.0117207 + 0.294192i
\(441\) 18.4634 + 2.63970i 0.879207 + 0.125700i
\(442\) −0.332840 0.389850i −0.0158316 0.0185433i
\(443\) −7.42959 + 21.8869i −0.352991 + 1.03988i 0.614922 + 0.788588i \(0.289188\pi\)
−0.967912 + 0.251288i \(0.919146\pi\)
\(444\) −28.4319 17.6554i −1.34932 0.837890i
\(445\) −10.1500 5.00541i −0.481155 0.237279i
\(446\) −4.15902 + 3.10450i −0.196935 + 0.147002i
\(447\) −7.97697 0.0443032i −0.377298 0.00209547i
\(448\) −5.94105 + 3.84889i −0.280688 + 0.181843i
\(449\) −12.8707 −0.607408 −0.303704 0.952766i \(-0.598223\pi\)
−0.303704 + 0.952766i \(0.598223\pi\)
\(450\) −13.2104 5.85319i −0.622744 0.275922i
\(451\) −9.31867 + 6.22654i −0.438799 + 0.293196i
\(452\) 10.2007 + 18.8038i 0.479801 + 0.884456i
\(453\) 14.5453 + 16.7728i 0.683399 + 0.788054i
\(454\) 10.4717 29.5539i 0.491460 1.38703i
\(455\) 0.140692 0.183353i 0.00659573 0.00859572i
\(456\) 40.3595 8.87385i 1.89001 0.415556i
\(457\) −20.5504 26.7817i −0.961305 1.25280i −0.967514 0.252816i \(-0.918643\pi\)
0.00620916 0.999981i \(-0.498024\pi\)
\(458\) −6.33943 19.5229i −0.296222 0.912247i
\(459\) 5.18403 7.48540i 0.241970 0.349389i
\(460\) −2.69793 + 0.105013i −0.125792 + 0.00489624i
\(461\) −22.1720 + 25.2823i −1.03265 + 1.17751i −0.0487494 + 0.998811i \(0.515524\pi\)
−0.983903 + 0.178703i \(0.942810\pi\)
\(462\) −0.0705614 + 3.74747i −0.00328282 + 0.174348i
\(463\) −3.65829 0.980235i −0.170015 0.0455554i 0.172807 0.984956i \(-0.444716\pi\)
−0.342822 + 0.939400i \(0.611383\pi\)
\(464\) −0.389476 31.5153i −0.0180810 1.46306i
\(465\) 1.18282 4.31825i 0.0548518 0.200254i
\(466\) 15.3972 14.9938i 0.713264 0.694576i
\(467\) −5.95704 + 29.9481i −0.275659 + 1.38583i 0.556294 + 0.830986i \(0.312223\pi\)
−0.831953 + 0.554846i \(0.812777\pi\)
\(468\) 0.442901 1.15939i 0.0204731 0.0535931i
\(469\) −1.44296 0.964157i −0.0666298 0.0445206i
\(470\) −13.1230 + 8.51878i −0.605320 + 0.392942i
\(471\) 14.9630 + 6.29547i 0.689460 + 0.290080i
\(472\) −4.66457 2.53597i −0.214704 0.116728i
\(473\) 4.06097 + 3.11609i 0.186723 + 0.143278i
\(474\) −2.16485 + 25.6265i −0.0994346 + 1.17706i
\(475\) 27.2027 + 9.23408i 1.24815 + 0.423688i
\(476\) 0.486236 3.06271i 0.0222866 0.140379i
\(477\) −0.578079 + 1.14013i −0.0264684 + 0.0522028i
\(478\) 25.6166 + 20.2021i 1.17168 + 0.924024i
\(479\) −3.98933 2.30324i −0.182277 0.105238i 0.406085 0.913835i \(-0.366894\pi\)
−0.588362 + 0.808598i \(0.700227\pi\)
\(480\) 11.7405 3.90084i 0.535878 0.178048i
\(481\) 1.73071 0.999228i 0.0789138 0.0455609i
\(482\) 29.7299 + 4.31619i 1.35416 + 0.196597i
\(483\) −1.63566 + 0.0980869i −0.0744251 + 0.00446311i
\(484\) −15.9320 + 1.66862i −0.724181 + 0.0758464i
\(485\) 0.900958 + 4.52942i 0.0409104 + 0.205670i
\(486\) 21.9205 + 2.34323i 0.994335 + 0.106291i
\(487\) −0.782908 + 0.324291i −0.0354770 + 0.0146950i −0.400351 0.916362i \(-0.631112\pi\)
0.364874 + 0.931057i \(0.381112\pi\)
\(488\) −1.65427 3.72105i −0.0748852 0.168444i
\(489\) −13.0188 + 9.87530i −0.588731 + 0.446576i
\(490\) −11.0865 + 0.578986i −0.500839 + 0.0261559i
\(491\) 0.305103 4.65497i 0.0137691 0.210076i −0.985431 0.170078i \(-0.945598\pi\)
0.999200 0.0399980i \(-0.0127352\pi\)
\(492\) 18.2572 + 13.0657i 0.823098 + 0.589045i
\(493\) 10.3808 + 9.10371i 0.467527 + 0.410010i
\(494\) −0.670229 + 2.37479i −0.0301550 + 0.106847i
\(495\) 1.76558 6.30813i 0.0793571 0.283529i
\(496\) −3.71236 7.29912i −0.166690 0.327740i
\(497\) 1.83943 + 6.86486i 0.0825098 + 0.307931i
\(498\) −2.79597 5.06045i −0.125290 0.226764i
\(499\) −2.47121 7.27994i −0.110626 0.325895i 0.877492 0.479592i \(-0.159215\pi\)
−0.988118 + 0.153697i \(0.950882\pi\)
\(500\) 20.7020 + 4.69236i 0.925823 + 0.209849i
\(501\) 4.25662 6.29452i 0.190172 0.281218i
\(502\) −2.76430 + 12.9933i −0.123377 + 0.579921i
\(503\) −15.4049 + 37.1906i −0.686869 + 1.65825i 0.0641282 + 0.997942i \(0.479573\pi\)
−0.750997 + 0.660306i \(0.770427\pi\)
\(504\) 7.07398 2.51644i 0.315100 0.112091i
\(505\) 0.347098 + 0.837968i 0.0154456 + 0.0372891i
\(506\) 0.476021 + 2.57101i 0.0211617 + 0.114295i
\(507\) −14.7035 16.9551i −0.653004 0.753003i
\(508\) 30.7366 + 32.4134i 1.36372 + 1.43811i
\(509\) −31.3094 15.4401i −1.38776 0.684369i −0.413652 0.910435i \(-0.635747\pi\)
−0.974112 + 0.226066i \(0.927414\pi\)
\(510\) −2.16792 + 4.96721i −0.0959973 + 0.219952i
\(511\) −7.35324 + 12.7362i −0.325288 + 0.563415i
\(512\) 11.0888 19.7241i 0.490058 0.871690i
\(513\) −43.8242 0.730243i −1.93488 0.0322410i
\(514\) 24.0518 2.84225i 1.06088 0.125366i
\(515\) −1.20182 18.3363i −0.0529586 0.807992i
\(516\) 2.97040 9.81416i 0.130764 0.432044i
\(517\) 9.99003 + 11.3914i 0.439361 + 0.500995i
\(518\) 11.3957 + 4.03777i 0.500698 + 0.177410i
\(519\) −2.72312 + 3.50832i −0.119532 + 0.153998i
\(520\) −0.125506 + 0.728005i −0.00550380 + 0.0319251i
\(521\) 4.68836 11.3187i 0.205401 0.495881i −0.787288 0.616586i \(-0.788515\pi\)
0.992688 + 0.120705i \(0.0385154\pi\)
\(522\) −7.31916 + 32.6186i −0.320351 + 1.42768i
\(523\) −3.17194 + 4.74714i −0.138699 + 0.207578i −0.894316 0.447436i \(-0.852337\pi\)
0.755617 + 0.655014i \(0.227337\pi\)
\(524\) −5.00605 16.1430i −0.218690 0.705210i
\(525\) 5.11354 + 1.04670i 0.223173 + 0.0456819i
\(526\) −1.30951 + 2.20016i −0.0570972 + 0.0959317i
\(527\) 3.46514 + 0.928482i 0.150944 + 0.0404453i
\(528\) −5.37198 10.7090i −0.233786 0.466050i
\(529\) 21.1122 5.65699i 0.917920 0.245956i
\(530\) 0.206668 0.732278i 0.00897710 0.0318081i
\(531\) 4.19243 + 3.75986i 0.181936 + 0.163164i
\(532\) −13.5588 + 6.24468i −0.587849 + 0.270741i
\(533\) −1.20235 + 0.592933i −0.0520796 + 0.0256828i
\(534\) 21.9305 1.02321i 0.949024 0.0442784i
\(535\) 2.09826 + 15.9378i 0.0907155 + 0.689053i
\(536\) 5.51659 + 0.582881i 0.238280 + 0.0251766i
\(537\) 2.38824 17.3935i 0.103060 0.750584i
\(538\) 18.4170 26.7864i 0.794013 1.15484i
\(539\) 2.09742 + 10.5445i 0.0903424 + 0.454182i
\(540\) −13.0716 + 1.14923i −0.562513 + 0.0494548i
\(541\) −18.6957 27.9801i −0.803791 1.20296i −0.975973 0.217892i \(-0.930082\pi\)
0.172182 0.985065i \(-0.444918\pi\)
\(542\) −10.7131 26.8670i −0.460169 1.15404i
\(543\) −16.4709 9.63183i −0.706833 0.413341i
\(544\) 3.17769 + 9.38939i 0.136242 + 0.402567i
\(545\) −2.93971 + 1.69724i −0.125923 + 0.0727018i
\(546\) −0.0668779 + 0.443324i −0.00286211 + 0.0189725i
\(547\) 7.94776 0.520924i 0.339822 0.0222731i 0.105463 0.994423i \(-0.466368\pi\)
0.234359 + 0.972150i \(0.424701\pi\)
\(548\) 1.69712 10.6899i 0.0724973 0.456648i
\(549\) 0.795532 + 4.24532i 0.0339525 + 0.181186i
\(550\) 0.654993 8.30304i 0.0279290 0.354043i
\(551\) 8.67531 65.8955i 0.369581 2.80724i
\(552\) 4.48254 2.70941i 0.190790 0.115320i
\(553\) −1.21263 9.21082i −0.0515662 0.391684i
\(554\) −0.808270 15.4769i −0.0343401 0.657552i
\(555\) −17.5029 11.8362i −0.742957 0.502419i
\(556\) 8.00477 + 9.63187i 0.339478 + 0.408482i
\(557\) −7.25161 + 36.4563i −0.307261 + 1.54470i 0.450863 + 0.892593i \(0.351116\pi\)
−0.758124 + 0.652111i \(0.773884\pi\)
\(558\) 2.04282 + 8.44203i 0.0864797 + 0.357380i
\(559\) 0.432952 + 0.432952i 0.0183119 + 0.0183119i
\(560\) −3.84246 + 2.28222i −0.162374 + 0.0964412i
\(561\) 5.06207 + 1.38655i 0.213721 + 0.0585404i
\(562\) −25.9122 15.4226i −1.09304 0.650562i
\(563\) 12.6785 + 37.3497i 0.534336 + 1.57410i 0.793691 + 0.608321i \(0.208157\pi\)
−0.259355 + 0.965782i \(0.583510\pi\)
\(564\) 14.2908 26.7764i 0.601750 1.12749i
\(565\) 5.97346 + 12.1130i 0.251305 + 0.509597i
\(566\) −2.95980 9.11500i −0.124410 0.383132i
\(567\) −7.91671 + 0.863826i −0.332470 + 0.0362773i
\(568\) −15.4115 16.6904i −0.646652 0.700315i
\(569\) 18.7130 + 2.46362i 0.784491 + 0.103280i 0.512122 0.858913i \(-0.328860\pi\)
0.272369 + 0.962193i \(0.412193\pi\)
\(570\) 25.6790 4.60710i 1.07557 0.192970i
\(571\) 12.0255 + 13.7125i 0.503253 + 0.573850i 0.946563 0.322519i \(-0.104529\pi\)
−0.443311 + 0.896368i \(0.646196\pi\)
\(572\) 0.715161 + 0.0189892i 0.0299024 + 0.000793978i
\(573\) −6.32429 3.16258i −0.264201 0.132119i
\(574\) −7.45093 3.20279i −0.310996 0.133682i
\(575\) 3.64118 0.151848
\(576\) −16.2756 + 17.6381i −0.678151 + 0.734922i
\(577\) 17.6303 0.733959 0.366979 0.930229i \(-0.380392\pi\)
0.366979 + 0.930229i \(0.380392\pi\)
\(578\) 18.0980 + 7.77945i 0.752778 + 0.323582i
\(579\) 1.90457 1.25735i 0.0791512 0.0522536i
\(580\) 0.528159 19.8912i 0.0219306 0.825939i
\(581\) 1.37705 + 1.57022i 0.0571296 + 0.0651438i
\(582\) −5.77916 6.84567i −0.239554 0.283762i
\(583\) −0.730548 0.0961785i −0.0302562 0.00398331i
\(584\) 1.87136 46.9718i 0.0774376 1.94371i
\(585\) 0.307876 0.720537i 0.0127291 0.0297905i
\(586\) −10.5562 32.5089i −0.436073 1.34293i
\(587\) −9.41911 19.1001i −0.388768 0.788344i 0.611227 0.791455i \(-0.290676\pi\)
−0.999995 + 0.00311153i \(0.999010\pi\)
\(588\) 18.2817 11.3841i 0.753923 0.469473i
\(589\) −5.55084 16.3523i −0.228718 0.673783i
\(590\) −2.88041 1.71438i −0.118584 0.0705797i
\(591\) −6.47836 24.7261i −0.266484 1.01709i
\(592\) −38.2493 + 5.51729i −1.57204 + 0.226759i
\(593\) 24.2021 + 24.2021i 0.993861 + 0.993861i 0.999981 0.00612074i \(-0.00194830\pi\)
−0.00612074 + 0.999981i \(0.501948\pi\)
\(594\) 2.92012 + 12.3676i 0.119814 + 0.507447i
\(595\) 0.381951 1.92019i 0.0156584 0.0787203i
\(596\) −7.08408 + 5.88738i −0.290175 + 0.241156i
\(597\) −24.4984 + 11.9126i −1.00265 + 0.487550i
\(598\) 0.0163115 + 0.312337i 0.000667028 + 0.0127724i
\(599\) −5.52003 41.9288i −0.225542 1.71316i −0.612002 0.790856i \(-0.709635\pi\)
0.386460 0.922306i \(-0.373698\pi\)
\(600\) −16.0258 + 4.64088i −0.654253 + 0.189463i
\(601\) 2.09240 15.8933i 0.0853506 0.648303i −0.894282 0.447504i \(-0.852313\pi\)
0.979633 0.200799i \(-0.0643537\pi\)
\(602\) −0.291296 + 3.69263i −0.0118723 + 0.150500i
\(603\) −5.55020 1.95305i −0.226021 0.0795345i
\(604\) 25.3186 + 4.01958i 1.03020 + 0.163554i
\(605\) −10.0918 + 0.661450i −0.410289 + 0.0268918i
\(606\) −1.37552 1.09723i −0.0558767 0.0445718i
\(607\) −39.3110 + 22.6962i −1.59558 + 0.921210i −0.603259 + 0.797546i \(0.706131\pi\)
−0.992324 + 0.123664i \(0.960535\pi\)
\(608\) 29.0825 37.8293i 1.17945 1.53418i
\(609\) 0.0670684 12.0760i 0.00271775 0.489342i
\(610\) −0.952236 2.38807i −0.0385549 0.0966901i
\(611\) 1.00690 + 1.50693i 0.0407347 + 0.0609638i
\(612\) −0.978952 10.4682i −0.0395718 0.423150i
\(613\) 4.28627 + 21.5485i 0.173121 + 0.870337i 0.965519 + 0.260333i \(0.0838323\pi\)
−0.792398 + 0.610004i \(0.791168\pi\)
\(614\) −9.99484 + 14.5369i −0.403359 + 0.586661i
\(615\) 11.1968 + 8.69087i 0.451501 + 0.350450i
\(616\) 2.72183 + 3.36496i 0.109666 + 0.135578i
\(617\) 2.01187 + 15.2817i 0.0809948 + 0.615216i 0.983015 + 0.183523i \(0.0587503\pi\)
−0.902021 + 0.431693i \(0.857916\pi\)
\(618\) 19.2431 + 30.0073i 0.774072 + 1.20707i
\(619\) 32.7579 16.1544i 1.31665 0.649301i 0.357957 0.933738i \(-0.383473\pi\)
0.958695 + 0.284437i \(0.0918067\pi\)
\(620\) −2.16273 4.69586i −0.0868575 0.188590i
\(621\) −5.28967 + 1.69786i −0.212267 + 0.0681327i
\(622\) −7.52131 + 26.6499i −0.301577 + 1.06856i
\(623\) −7.66056 + 2.05264i −0.306914 + 0.0822373i
\(624\) −0.469881 1.35389i −0.0188103 0.0541990i
\(625\) −3.50332 0.938710i −0.140133 0.0375484i
\(626\) 8.67349 14.5728i 0.346662 0.582445i
\(627\) −7.98819 23.9690i −0.319017 0.957228i
\(628\) 17.9037 5.55205i 0.714434 0.221551i
\(629\) 9.40554 14.0764i 0.375024 0.561262i
\(630\) 4.52446 1.41381i 0.180259 0.0563277i
\(631\) 18.0099 43.4797i 0.716962 1.73090i 0.0351391 0.999382i \(-0.488813\pi\)
0.681823 0.731517i \(-0.261187\pi\)
\(632\) 17.1258 + 24.2607i 0.681227 + 0.965038i
\(633\) −1.22405 3.00216i −0.0486515 0.119325i
\(634\) 36.1383 + 12.8047i 1.43523 + 0.508539i
\(635\) 18.5945 + 21.2030i 0.737900 + 0.841414i
\(636\) 0.336076 + 1.43729i 0.0133263 + 0.0569923i
\(637\) 0.0841088 + 1.28325i 0.00333251 + 0.0508443i
\(638\) −19.1367 + 2.26142i −0.757628 + 0.0895305i
\(639\) 11.8152 + 20.9999i 0.467404 + 0.830743i
\(640\) 7.47974 12.1708i 0.295663 0.481093i
\(641\) −15.4691 + 26.7933i −0.610994 + 1.05827i 0.380079 + 0.924954i \(0.375897\pi\)
−0.991073 + 0.133319i \(0.957436\pi\)
\(642\) −18.5151 25.0938i −0.730735 0.990373i
\(643\) −19.0995 9.41884i −0.753211 0.371443i 0.0248004 0.999692i \(-0.492105\pi\)
−0.778012 + 0.628250i \(0.783772\pi\)
\(644\) −1.37295 + 1.30193i −0.0541018 + 0.0513031i
\(645\) 2.11488 6.11839i 0.0832734 0.240911i
\(646\) 3.80558 + 20.5541i 0.149728 + 0.808689i
\(647\) −7.76894 18.7559i −0.305428 0.737369i −0.999842 0.0177930i \(-0.994336\pi\)
0.694413 0.719576i \(-0.255664\pi\)
\(648\) 21.1173 14.2147i 0.829567 0.558407i
\(649\) −1.24224 + 2.99903i −0.0487621 + 0.117722i
\(650\) 0.207314 0.974461i 0.00813154 0.0382215i
\(651\) −1.37208 2.82171i −0.0537762 0.110592i
\(652\) −4.17094 + 18.4016i −0.163346 + 0.720661i
\(653\) −1.37746 4.05787i −0.0539042 0.158797i 0.916643 0.399706i \(-0.130888\pi\)
−0.970548 + 0.240909i \(0.922554\pi\)
\(654\) 3.39930 5.63983i 0.132923 0.220535i
\(655\) −2.76171 10.3068i −0.107909 0.402722i
\(656\) 25.8455 2.01504i 1.00910 0.0786741i
\(657\) −13.4390 + 48.0154i −0.524307 + 1.87326i
\(658\) −2.97804 + 10.5519i −0.116096 + 0.411357i
\(659\) 24.0189 + 21.0640i 0.935644 + 0.820538i 0.983977 0.178294i \(-0.0570577\pi\)
−0.0483336 + 0.998831i \(0.515391\pi\)
\(660\) −3.12599 6.88776i −0.121679 0.268106i
\(661\) −0.925532 + 14.1209i −0.0359990 + 0.549239i 0.941327 + 0.337497i \(0.109580\pi\)
−0.977326 + 0.211742i \(0.932086\pi\)
\(662\) 37.6014 1.96370i 1.46142 0.0763216i
\(663\) 0.578680 + 0.243471i 0.0224741 + 0.00945563i
\(664\) −6.23116 2.39585i −0.241816 0.0929768i
\(665\) −8.70701 + 3.60656i −0.337643 + 0.139856i
\(666\) 40.8241 + 3.67715i 1.58190 + 0.142487i
\(667\) −1.64350 8.26245i −0.0636367 0.319923i
\(668\) −0.913957 8.72645i −0.0353620 0.337637i
\(669\) 2.84296 5.68513i 0.109915 0.219800i
\(670\) 3.46587 + 0.503175i 0.133898 + 0.0194393i
\(671\) −2.15616 + 1.24486i −0.0832378 + 0.0480574i
\(672\) 4.38337 7.48004i 0.169092 0.288549i
\(673\) −0.689637 0.398162i −0.0265835 0.0153480i 0.486649 0.873597i \(-0.338219\pi\)
−0.513233 + 0.858249i \(0.671552\pi\)
\(674\) −33.7911 26.6488i −1.30158 1.02647i
\(675\) 17.6753 0.863034i 0.680323 0.0332182i
\(676\) −25.5939 4.06328i −0.984380 0.156280i
\(677\) 25.5447 + 8.67124i 0.981761 + 0.333263i 0.765757 0.643130i \(-0.222364\pi\)
0.216003 + 0.976393i \(0.430698\pi\)
\(678\) −21.5069 14.9636i −0.825966 0.574675i
\(679\) 2.56754 + 1.97015i 0.0985333 + 0.0756073i
\(680\) 1.77411 + 6.00139i 0.0680339 + 0.230143i
\(681\) 4.80080 + 38.0997i 0.183967 + 1.45998i
\(682\) −4.19945 + 2.72606i −0.160805 + 0.104386i
\(683\) 8.60496 + 5.74965i 0.329260 + 0.220004i 0.709201 0.705006i \(-0.249056\pi\)
−0.379941 + 0.925011i \(0.624056\pi\)
\(684\) −39.2805 + 31.9139i −1.50193 + 1.22026i
\(685\) 1.33313 6.70209i 0.0509362 0.256074i
\(686\) −11.8494 + 11.5389i −0.452410 + 0.440557i
\(687\) 17.6774 + 17.8748i 0.674434 + 0.681968i
\(688\) −4.66584 10.8820i −0.177883 0.414872i
\(689\) −0.0851367 0.0228123i −0.00324345 0.000869079i
\(690\) 2.89437 1.59918i 0.110187 0.0608799i
\(691\) 7.68412 8.76206i 0.292318 0.333324i −0.586976 0.809604i \(-0.699682\pi\)
0.879294 + 0.476280i \(0.158015\pi\)
\(692\) 0.199455 + 5.12430i 0.00758215 + 0.194797i
\(693\) −1.98447 4.13940i −0.0753839 0.157243i
\(694\) 9.03866 + 27.8355i 0.343103 + 1.05662i
\(695\) 4.81336 + 6.27289i 0.182581 + 0.237944i
\(696\) 17.7645 + 34.2706i 0.673360 + 1.29903i
\(697\) −6.91349 + 9.00983i −0.261867 + 0.341272i
\(698\) −4.89951 + 13.8277i −0.185449 + 0.523388i
\(699\) −8.59915 + 24.8775i −0.325250 + 0.940954i
\(700\) 5.29772 2.87392i 0.200235 0.108624i
\(701\) 24.5775 16.4222i 0.928281 0.620257i 0.00318645 0.999995i \(-0.498986\pi\)
0.925094 + 0.379738i \(0.123986\pi\)
\(702\) 0.153211 + 1.51230i 0.00578258 + 0.0570782i
\(703\) −81.4943 −3.07362
\(704\) −12.7048 5.47497i −0.478831 0.206346i
\(705\) 9.67292 16.5411i 0.364303 0.622976i
\(706\) −16.4055 + 12.2459i −0.617429 + 0.460880i
\(707\) 0.570066 + 0.281126i 0.0214395 + 0.0105728i
\(708\) 6.49927 + 0.208698i 0.244258 + 0.00784334i
\(709\) 5.41061 15.9391i 0.203200 0.598607i −0.796784 0.604264i \(-0.793467\pi\)
0.999984 + 0.00565700i \(0.00180069\pi\)
\(710\) −9.31261 10.9077i −0.349496 0.409359i
\(711\) −11.7297 29.2322i −0.439897 1.09629i
\(712\) 18.6250 17.1978i 0.698002 0.644516i
\(713\) −1.33246 1.73650i −0.0499011 0.0650323i
\(714\) 1.15291 + 3.61881i 0.0431466 + 0.135430i
\(715\) 0.450698 + 0.0295403i 0.0168552 + 0.00110474i
\(716\) −10.8115 17.1491i −0.404046 0.640893i
\(717\) −39.1447 8.01261i −1.46188 0.299237i
\(718\) −0.529183 + 39.8667i −0.0197489 + 1.48781i
\(719\) −26.3752 + 26.3752i −0.983627 + 0.983627i −0.999868 0.0162407i \(-0.994830\pi\)
0.0162407 + 0.999868i \(0.494830\pi\)
\(720\) −10.7007 + 10.7275i −0.398792 + 0.399790i
\(721\) −9.10562 9.10562i −0.339111 0.339111i
\(722\) 52.8391 51.4547i 1.96647 1.91495i
\(723\) −34.9058 + 11.6331i −1.29816 + 0.432641i
\(724\) −21.7153 + 3.72318i −0.807042 + 0.138371i
\(725\) −1.75508 + 26.7773i −0.0651819 + 0.994483i
\(726\) 16.5152 10.5909i 0.612936 0.393065i
\(727\) 18.1144 13.8997i 0.671825 0.515510i −0.215588 0.976484i \(-0.569167\pi\)
0.887413 + 0.460975i \(0.152500\pi\)
\(728\) 0.270254 + 0.441559i 0.0100163 + 0.0163653i
\(729\) −25.2751 + 9.49564i −0.936116 + 0.351690i
\(730\) 2.33396 29.5865i 0.0863837 1.09505i
\(731\) 4.91160 + 1.66726i 0.181662 + 0.0616660i
\(732\) 3.85729 + 3.16157i 0.142570 + 0.116855i
\(733\) 19.2701 39.0760i 0.711759 1.44330i −0.176660 0.984272i \(-0.556529\pi\)
0.888419 0.459033i \(-0.151804\pi\)
\(734\) −1.26765 + 8.73156i −0.0467898 + 0.322288i
\(735\) 11.8127 6.73284i 0.435716 0.248345i
\(736\) 1.94932 5.72529i 0.0718529 0.211037i
\(737\) 3.39159i 0.124931i
\(738\) −27.1656 4.25252i −0.999980 0.156538i
\(739\) −6.28764 9.41012i −0.231295 0.346157i 0.697609 0.716479i \(-0.254247\pi\)
−0.928903 + 0.370322i \(0.879247\pi\)
\(740\) −24.2653 + 2.54140i −0.892010 + 0.0934239i
\(741\) −0.573116 2.96728i −0.0210540 0.109006i
\(742\) −0.229466 0.481312i −0.00842395 0.0176695i
\(743\) −41.8794 32.1352i −1.53641 1.17893i −0.920267 0.391291i \(-0.872029\pi\)
−0.616140 0.787636i \(-0.711305\pi\)
\(744\) 8.07779 + 5.94452i 0.296146 + 0.217937i
\(745\) −4.61361 + 3.54014i −0.169029 + 0.129701i
\(746\) 6.23488 12.2311i 0.228275 0.447813i
\(747\) 5.84345 + 3.99906i 0.213801 + 0.146318i
\(748\) 5.50471 2.53526i 0.201272 0.0926984i
\(749\) 8.46971 + 7.42774i 0.309477 + 0.271404i
\(750\) −25.2342 + 6.25479i −0.921423 + 0.228393i
\(751\) 6.42133 23.9647i 0.234318 0.874486i −0.744137 0.668027i \(-0.767139\pi\)
0.978455 0.206459i \(-0.0661941\pi\)
\(752\) −7.26150 34.2861i −0.264800 1.25029i
\(753\) −4.12356 15.7384i −0.150271 0.573541i
\(754\) −2.30479 0.0305934i −0.0839356 0.00111415i
\(755\) 15.8737 + 3.15748i 0.577704 + 0.114913i
\(756\) −6.35611 + 6.64534i −0.231169 + 0.241689i
\(757\) −11.8732 + 17.7695i −0.431539 + 0.645844i −0.981970 0.189037i \(-0.939464\pi\)
0.550431 + 0.834881i \(0.314464\pi\)
\(758\) 1.93288 9.08530i 0.0702053 0.329993i
\(759\) −1.93532 2.55138i −0.0702478 0.0926091i
\(760\) 19.2758 23.1508i 0.699207 0.839766i
\(761\) −30.5210 + 39.7758i −1.10639 + 1.44187i −0.222040 + 0.975037i \(0.571272\pi\)
−0.884346 + 0.466833i \(0.845395\pi\)
\(762\) −51.4652 18.5577i −1.86439 0.672276i
\(763\) −0.764636 + 2.25255i −0.0276817 + 0.0815477i
\(764\) −7.93995 + 1.90314i −0.287257 + 0.0688532i
\(765\) −0.360532 6.62795i −0.0130351 0.239634i
\(766\) −18.5415 + 2.19109i −0.669931 + 0.0791672i
\(767\) −0.194146 + 0.336270i −0.00701019 + 0.0121420i
\(768\) −1.28232 + 27.6831i −0.0462718 + 0.998929i
\(769\) 12.6034 + 21.8297i 0.454489 + 0.787198i 0.998659 0.0517770i \(-0.0164885\pi\)
−0.544170 + 0.838975i \(0.683155\pi\)
\(770\) 1.63446 + 2.18964i 0.0589019 + 0.0789093i
\(771\) −24.7544 + 16.3422i −0.891508 + 0.588551i
\(772\) 0.749369 2.52643i 0.0269704 0.0909283i