Properties

Label 483.2.y.a.4.13
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.910508 - 1.27863i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-0.151733 - 0.438405i) q^{4} +(0.0858188 - 1.80156i) q^{5} +(1.02793 + 1.18629i) q^{6} +(-0.649635 - 2.56476i) q^{7} +(2.31350 + 0.679304i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.910508 - 1.27863i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-0.151733 - 0.438405i) q^{4} +(0.0858188 - 1.80156i) q^{5} +(1.02793 + 1.18629i) q^{6} +(-0.649635 - 2.56476i) q^{7} +(2.31350 + 0.679304i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-2.22539 - 1.75007i) q^{10} +(-3.08682 - 4.33483i) q^{11} +(0.461819 - 0.0440984i) q^{12} +(-0.0994541 + 0.691718i) q^{13} +(-3.87087 - 1.50459i) q^{14} +(1.73054 + 0.508133i) q^{15} +(3.70437 - 2.91315i) q^{16} +(1.31657 - 0.253747i) q^{17} +(-1.39519 + 0.719273i) q^{18} +(6.91073 + 1.33193i) q^{19} +(-0.802834 + 0.235733i) q^{20} +(2.64562 - 0.0266584i) q^{21} -8.35321 q^{22} +(1.25328 - 4.62918i) q^{23} +(-1.20558 + 2.08813i) q^{24} +(1.73911 + 0.166065i) q^{25} +(0.793898 + 0.756980i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-1.02583 + 0.673962i) q^{28} +(0.729514 + 0.841904i) q^{29} +(2.22539 - 1.75007i) q^{30} +(-5.80944 + 5.53929i) q^{31} +(-0.122524 - 2.57209i) q^{32} +(4.94038 - 1.97783i) q^{33} +(0.874295 - 1.91444i) q^{34} +(-4.67631 + 0.950251i) q^{35} +(-0.0660227 + 0.459198i) q^{36} +(-2.54438 - 1.31172i) q^{37} +(7.99533 - 7.62353i) q^{38} +(-0.648773 - 0.259729i) q^{39} +(1.42235 - 4.10960i) q^{40} +(-5.87250 - 3.77403i) q^{41} +(2.37477 - 3.40704i) q^{42} +(-6.31983 + 1.85567i) q^{43} +(-1.43204 + 2.01101i) q^{44} +(-0.901801 + 1.56197i) q^{45} +(-4.77788 - 5.81739i) q^{46} +(3.25423 + 5.63649i) q^{47} +(1.95769 + 4.28675i) q^{48} +(-6.15595 + 3.33231i) q^{49} +(1.79581 - 2.07247i) q^{50} +(-0.0637976 + 1.33928i) q^{51} +(0.318343 - 0.0613556i) q^{52} +(6.87233 + 2.75127i) q^{53} +(-0.370068 - 1.52544i) q^{54} +(-8.07436 + 5.18907i) q^{55} +(0.239321 - 6.37486i) q^{56} +(-2.92366 + 6.40191i) q^{57} +(1.74071 - 0.166218i) q^{58} +(6.70989 + 5.27672i) q^{59} +(-0.0398131 - 0.835779i) q^{60} +(2.04202 + 8.41733i) q^{61} +(1.79316 + 12.4717i) q^{62} +(-0.597821 + 2.57733i) q^{63} +(4.52870 + 2.91042i) q^{64} +(1.23764 + 0.238535i) q^{65} +(1.96934 - 8.11775i) q^{66} +(-7.62477 - 0.728078i) q^{67} +(-0.311011 - 0.538687i) q^{68} +(4.20321 + 2.30933i) q^{69} +(-3.04280 + 6.84448i) q^{70} +(-1.77779 - 3.89281i) q^{71} +(-1.74504 - 1.66390i) q^{72} +(2.53740 + 7.33133i) q^{73} +(-3.99388 + 2.05899i) q^{74} +(-0.571394 + 1.65094i) q^{75} +(-0.464662 - 3.23180i) q^{76} +(-9.11247 + 10.7330i) q^{77} +(-0.922810 + 0.593054i) q^{78} +(12.7121 - 5.08914i) q^{79} +(-4.93030 - 6.92364i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-10.1725 + 4.07247i) q^{82} +(4.03942 - 2.59598i) q^{83} +(-0.413116 - 1.15581i) q^{84} +(-0.344155 - 2.39365i) q^{85} +(-3.38154 + 9.77032i) q^{86} +(-0.990162 + 0.510464i) q^{87} +(-4.19668 - 12.1255i) q^{88} +(-0.477477 - 0.455274i) q^{89} +(1.17608 + 2.57525i) q^{90} +(1.83870 - 0.194289i) q^{91} +(-2.21962 + 0.152955i) q^{92} +(-4.01352 - 6.95162i) q^{93} +(10.1700 + 0.971116i) q^{94} +(2.99263 - 12.3358i) q^{95} +(2.52847 + 0.487323i) q^{96} +(7.17642 + 4.61201i) q^{97} +(-1.34425 + 10.9053i) q^{98} +(0.757339 + 5.26741i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.910508 1.27863i 0.643827 0.904128i −0.355709 0.934597i \(-0.615761\pi\)
0.999536 + 0.0304688i \(0.00970001\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) −0.151733 0.438405i −0.0758667 0.219202i
\(5\) 0.0858188 1.80156i 0.0383794 0.805682i −0.894843 0.446382i \(-0.852712\pi\)
0.933222 0.359300i \(-0.116985\pi\)
\(6\) 1.02793 + 1.18629i 0.419649 + 0.484301i
\(7\) −0.649635 2.56476i −0.245539 0.969387i
\(8\) 2.31350 + 0.679304i 0.817945 + 0.240170i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −2.22539 1.75007i −0.703730 0.553419i
\(11\) −3.08682 4.33483i −0.930710 1.30700i −0.951639 0.307219i \(-0.900602\pi\)
0.0209286 0.999781i \(-0.493338\pi\)
\(12\) 0.461819 0.0440984i 0.133316 0.0127301i
\(13\) −0.0994541 + 0.691718i −0.0275836 + 0.191848i −0.998954 0.0457209i \(-0.985442\pi\)
0.971371 + 0.237569i \(0.0763506\pi\)
\(14\) −3.87087 1.50459i −1.03453 0.402118i
\(15\) 1.73054 + 0.508133i 0.446824 + 0.131199i
\(16\) 3.70437 2.91315i 0.926092 0.728287i
\(17\) 1.31657 0.253747i 0.319314 0.0615428i −0.0270758 0.999633i \(-0.508620\pi\)
0.346390 + 0.938091i \(0.387407\pi\)
\(18\) −1.39519 + 0.719273i −0.328850 + 0.169534i
\(19\) 6.91073 + 1.33193i 1.58543 + 0.305567i 0.904399 0.426687i \(-0.140319\pi\)
0.681032 + 0.732254i \(0.261532\pi\)
\(20\) −0.802834 + 0.235733i −0.179519 + 0.0527116i
\(21\) 2.64562 0.0266584i 0.577321 0.00581734i
\(22\) −8.35321 −1.78091
\(23\) 1.25328 4.62918i 0.261328 0.965250i
\(24\) −1.20558 + 2.08813i −0.246089 + 0.426238i
\(25\) 1.73911 + 0.166065i 0.347822 + 0.0332130i
\(26\) 0.793898 + 0.756980i 0.155696 + 0.148456i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) −1.02583 + 0.673962i −0.193864 + 0.127367i
\(29\) 0.729514 + 0.841904i 0.135467 + 0.156338i 0.819430 0.573180i \(-0.194290\pi\)
−0.683962 + 0.729517i \(0.739745\pi\)
\(30\) 2.22539 1.75007i 0.406299 0.319517i
\(31\) −5.80944 + 5.53929i −1.04341 + 0.994886i −0.999991 0.00417113i \(-0.998672\pi\)
−0.0434151 + 0.999057i \(0.513824\pi\)
\(32\) −0.122524 2.57209i −0.0216594 0.454686i
\(33\) 4.94038 1.97783i 0.860010 0.344296i
\(34\) 0.874295 1.91444i 0.149940 0.328324i
\(35\) −4.67631 + 0.950251i −0.790441 + 0.160622i
\(36\) −0.0660227 + 0.459198i −0.0110038 + 0.0765330i
\(37\) −2.54438 1.31172i −0.418293 0.215645i 0.236214 0.971701i \(-0.424093\pi\)
−0.654507 + 0.756056i \(0.727124\pi\)
\(38\) 7.99533 7.62353i 1.29701 1.23670i
\(39\) −0.648773 0.259729i −0.103887 0.0415900i
\(40\) 1.42235 4.10960i 0.224893 0.649786i
\(41\) −5.87250 3.77403i −0.917131 0.589404i −0.00530694 0.999986i \(-0.501689\pi\)
−0.911824 + 0.410582i \(0.865326\pi\)
\(42\) 2.37477 3.40704i 0.366435 0.525717i
\(43\) −6.31983 + 1.85567i −0.963764 + 0.282987i −0.725507 0.688215i \(-0.758395\pi\)
−0.238258 + 0.971202i \(0.576576\pi\)
\(44\) −1.43204 + 2.01101i −0.215888 + 0.303172i
\(45\) −0.901801 + 1.56197i −0.134433 + 0.232844i
\(46\) −4.77788 5.81739i −0.704460 0.857727i
\(47\) 3.25423 + 5.63649i 0.474678 + 0.822166i 0.999580 0.0289967i \(-0.00923123\pi\)
−0.524902 + 0.851163i \(0.675898\pi\)
\(48\) 1.95769 + 4.28675i 0.282569 + 0.618739i
\(49\) −6.15595 + 3.33231i −0.879421 + 0.476044i
\(50\) 1.79581 2.07247i 0.253966 0.293092i
\(51\) −0.0637976 + 1.33928i −0.00893346 + 0.187536i
\(52\) 0.318343 0.0613556i 0.0441462 0.00850849i
\(53\) 6.87233 + 2.75127i 0.943987 + 0.377915i 0.792037 0.610473i \(-0.209021\pi\)
0.151950 + 0.988388i \(0.451445\pi\)
\(54\) −0.370068 1.52544i −0.0503599 0.207586i
\(55\) −8.07436 + 5.18907i −1.08875 + 0.699694i
\(56\) 0.239321 6.37486i 0.0319806 0.851876i
\(57\) −2.92366 + 6.40191i −0.387248 + 0.847954i
\(58\) 1.74071 0.166218i 0.228567 0.0218255i
\(59\) 6.70989 + 5.27672i 0.873554 + 0.686970i 0.950721 0.310048i \(-0.100345\pi\)
−0.0771671 + 0.997018i \(0.524588\pi\)
\(60\) −0.0398131 0.835779i −0.00513985 0.107899i
\(61\) 2.04202 + 8.41733i 0.261454 + 1.07773i 0.939456 + 0.342669i \(0.111331\pi\)
−0.678002 + 0.735060i \(0.737154\pi\)
\(62\) 1.79316 + 12.4717i 0.227731 + 1.58391i
\(63\) −0.597821 + 2.57733i −0.0753184 + 0.324713i
\(64\) 4.52870 + 2.91042i 0.566088 + 0.363803i
\(65\) 1.23764 + 0.238535i 0.153510 + 0.0295866i
\(66\) 1.96934 8.11775i 0.242410 0.999226i
\(67\) −7.62477 0.728078i −0.931514 0.0889488i −0.381747 0.924267i \(-0.624678\pi\)
−0.549767 + 0.835318i \(0.685284\pi\)
\(68\) −0.311011 0.538687i −0.0377156 0.0653254i
\(69\) 4.20321 + 2.30933i 0.506008 + 0.278010i
\(70\) −3.04280 + 6.84448i −0.363684 + 0.818072i
\(71\) −1.77779 3.89281i −0.210985 0.461992i 0.774321 0.632793i \(-0.218092\pi\)
−0.985305 + 0.170801i \(0.945364\pi\)
\(72\) −1.74504 1.66390i −0.205655 0.196092i
\(73\) 2.53740 + 7.33133i 0.296980 + 0.858068i 0.990486 + 0.137616i \(0.0439441\pi\)
−0.693505 + 0.720451i \(0.743935\pi\)
\(74\) −3.99388 + 2.05899i −0.464279 + 0.239352i
\(75\) −0.571394 + 1.65094i −0.0659789 + 0.190634i
\(76\) −0.464662 3.23180i −0.0533004 0.370713i
\(77\) −9.11247 + 10.7330i −1.03846 + 1.22314i
\(78\) −0.922810 + 0.593054i −0.104488 + 0.0671502i
\(79\) 12.7121 5.08914i 1.43022 0.572573i 0.478101 0.878305i \(-0.341325\pi\)
0.952118 + 0.305731i \(0.0989010\pi\)
\(80\) −4.93030 6.92364i −0.551225 0.774087i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −10.1725 + 4.07247i −1.12337 + 0.449729i
\(83\) 4.03942 2.59598i 0.443384 0.284946i −0.299839 0.953990i \(-0.596933\pi\)
0.743222 + 0.669044i \(0.233296\pi\)
\(84\) −0.413116 1.15581i −0.0450746 0.126109i
\(85\) −0.344155 2.39365i −0.0373288 0.259628i
\(86\) −3.38154 + 9.77032i −0.364641 + 1.05356i
\(87\) −0.990162 + 0.510464i −0.106157 + 0.0547275i
\(88\) −4.19668 12.1255i −0.447367 1.29258i
\(89\) −0.477477 0.455274i −0.0506125 0.0482589i 0.664351 0.747421i \(-0.268708\pi\)
−0.714963 + 0.699162i \(0.753557\pi\)
\(90\) 1.17608 + 2.57525i 0.123970 + 0.271455i
\(91\) 1.83870 0.194289i 0.192748 0.0203670i
\(92\) −2.21962 + 0.152955i −0.231411 + 0.0159466i
\(93\) −4.01352 6.95162i −0.416183 0.720849i
\(94\) 10.1700 + 0.971116i 1.04895 + 0.100163i
\(95\) 2.99263 12.3358i 0.307037 1.26563i
\(96\) 2.52847 + 0.487323i 0.258061 + 0.0497372i
\(97\) 7.17642 + 4.61201i 0.728655 + 0.468278i 0.851638 0.524130i \(-0.175610\pi\)
−0.122983 + 0.992409i \(0.539246\pi\)
\(98\) −1.34425 + 10.9053i −0.135790 + 1.10160i
\(99\) 0.757339 + 5.26741i 0.0761155 + 0.529395i
\(100\) −0.191077 0.787631i −0.0191077 0.0787631i
\(101\) 0.535262 + 11.2365i 0.0532605 + 1.11808i 0.854406 + 0.519606i \(0.173921\pi\)
−0.801145 + 0.598470i \(0.795776\pi\)
\(102\) 1.65435 + 1.30100i 0.163805 + 0.128818i
\(103\) −10.2695 + 0.980614i −1.01188 + 0.0966228i −0.587803 0.809004i \(-0.700007\pi\)
−0.424076 + 0.905627i \(0.639401\pi\)
\(104\) −0.699974 + 1.53273i −0.0686381 + 0.150296i
\(105\) 0.179017 4.76852i 0.0174703 0.465360i
\(106\) 9.77516 6.28212i 0.949448 0.610173i
\(107\) −3.61836 14.9151i −0.349800 1.44190i −0.826553 0.562858i \(-0.809702\pi\)
0.476753 0.879037i \(-0.341814\pi\)
\(108\) −0.430688 0.172422i −0.0414430 0.0165913i
\(109\) −12.1563 + 2.34293i −1.16436 + 0.224412i −0.734580 0.678522i \(-0.762621\pi\)
−0.429779 + 0.902934i \(0.641409\pi\)
\(110\) −0.716863 + 15.0488i −0.0683502 + 1.43485i
\(111\) 1.87460 2.16341i 0.177929 0.205341i
\(112\) −9.87800 7.60832i −0.933383 0.718919i
\(113\) 7.07578 + 15.4938i 0.665633 + 1.45753i 0.877178 + 0.480165i \(0.159423\pi\)
−0.211545 + 0.977368i \(0.567849\pi\)
\(114\) 5.52367 + 9.56727i 0.517339 + 0.896057i
\(115\) −8.23218 2.65514i −0.767655 0.247593i
\(116\) 0.258403 0.447568i 0.0239921 0.0415556i
\(117\) 0.405362 0.569251i 0.0374757 0.0526273i
\(118\) 12.8564 3.77498i 1.18353 0.347515i
\(119\) −1.50609 3.21183i −0.138063 0.294428i
\(120\) 3.65843 + 2.35113i 0.333967 + 0.214628i
\(121\) −5.66455 + 16.3666i −0.514959 + 1.48788i
\(122\) 12.6219 + 5.05306i 1.14274 + 0.457483i
\(123\) 5.05214 4.81720i 0.455536 0.434353i
\(124\) 3.30994 + 1.70639i 0.297241 + 0.153238i
\(125\) 1.73182 12.0451i 0.154899 1.07734i
\(126\) 2.75113 + 3.11107i 0.245090 + 0.277156i
\(127\) 1.23401 2.70211i 0.109501 0.239773i −0.846947 0.531678i \(-0.821562\pi\)
0.956447 + 0.291905i \(0.0942890\pi\)
\(128\) 12.6259 5.05464i 1.11598 0.446771i
\(129\) −0.313405 6.57917i −0.0275937 0.579264i
\(130\) 1.43188 1.36529i 0.125584 0.119744i
\(131\) −1.57234 + 1.23651i −0.137376 + 0.108034i −0.684483 0.729029i \(-0.739972\pi\)
0.547106 + 0.837063i \(0.315729\pi\)
\(132\) −1.61671 1.86578i −0.140717 0.162396i
\(133\) −1.07336 18.5896i −0.0930725 1.61192i
\(134\) −7.87336 + 9.08634i −0.680155 + 0.784941i
\(135\) −1.30533 1.24463i −0.112345 0.107121i
\(136\) 3.21824 + 0.307305i 0.275962 + 0.0263512i
\(137\) −1.73431 + 3.00392i −0.148172 + 0.256642i −0.930552 0.366160i \(-0.880672\pi\)
0.782380 + 0.622802i \(0.214006\pi\)
\(138\) 6.77984 3.27170i 0.577138 0.278505i
\(139\) 9.72924 0.825224 0.412612 0.910907i \(-0.364617\pi\)
0.412612 + 0.910907i \(0.364617\pi\)
\(140\) 1.12615 + 1.90593i 0.0951768 + 0.161081i
\(141\) −6.24482 + 1.83364i −0.525908 + 0.154421i
\(142\) −6.59616 1.27131i −0.553537 0.106686i
\(143\) 3.30548 1.70409i 0.276418 0.142503i
\(144\) −4.62746 + 0.891869i −0.385621 + 0.0743224i
\(145\) 1.57935 1.24201i 0.131158 0.103143i
\(146\) 11.6844 + 3.43085i 0.967007 + 0.283939i
\(147\) −1.78706 6.76804i −0.147394 0.558219i
\(148\) −0.188996 + 1.31450i −0.0155354 + 0.108051i
\(149\) 11.1900 1.06851i 0.916720 0.0875361i 0.373980 0.927437i \(-0.377993\pi\)
0.542740 + 0.839901i \(0.317387\pi\)
\(150\) 1.59068 + 2.23379i 0.129878 + 0.182388i
\(151\) −13.9998 11.0096i −1.13929 0.895948i −0.143687 0.989623i \(-0.545896\pi\)
−0.995603 + 0.0936753i \(0.970138\pi\)
\(152\) 15.0832 + 7.77592i 1.22341 + 0.630710i
\(153\) −1.28648 0.377746i −0.104006 0.0305389i
\(154\) 5.42654 + 21.4240i 0.437283 + 1.72639i
\(155\) 9.48080 + 10.9414i 0.761516 + 0.878837i
\(156\) −0.0154261 + 0.323835i −0.00123508 + 0.0259275i
\(157\) 5.40715 + 15.6229i 0.431537 + 1.24685i 0.925959 + 0.377623i \(0.123259\pi\)
−0.494422 + 0.869222i \(0.664620\pi\)
\(158\) 5.06731 20.8877i 0.403134 1.66174i
\(159\) −4.29393 + 6.02997i −0.340530 + 0.478208i
\(160\) −4.64429 −0.367163
\(161\) −12.6869 0.207094i −0.999867 0.0163213i
\(162\) 1.56969 0.123326
\(163\) 5.40929 7.59628i 0.423688 0.594987i −0.546464 0.837482i \(-0.684027\pi\)
0.970153 + 0.242496i \(0.0779660\pi\)
\(164\) −0.763497 + 3.14718i −0.0596191 + 0.245753i
\(165\) −3.13920 9.07012i −0.244386 0.706108i
\(166\) 0.358631 7.52858i 0.0278351 0.584331i
\(167\) −0.344714 0.397821i −0.0266748 0.0307843i 0.742255 0.670117i \(-0.233756\pi\)
−0.768930 + 0.639333i \(0.779211\pi\)
\(168\) 6.13874 + 1.73550i 0.473614 + 0.133897i
\(169\) 12.0048 + 3.52493i 0.923448 + 0.271149i
\(170\) −3.37395 1.73939i −0.258770 0.133405i
\(171\) −5.53218 4.35055i −0.423056 0.332695i
\(172\) 1.77246 + 2.48908i 0.135149 + 0.189790i
\(173\) 10.2213 0.976020i 0.777114 0.0742054i 0.301041 0.953611i \(-0.402666\pi\)
0.476073 + 0.879406i \(0.342060\pi\)
\(174\) −0.248856 + 1.73083i −0.0188657 + 0.131214i
\(175\) −0.703870 4.56827i −0.0532076 0.345329i
\(176\) −24.0627 7.06545i −1.81379 0.532578i
\(177\) −6.70989 + 5.27672i −0.504347 + 0.396622i
\(178\) −1.01687 + 0.195986i −0.0762179 + 0.0146898i
\(179\) 4.78911 2.46896i 0.357955 0.184539i −0.269863 0.962899i \(-0.586978\pi\)
0.627818 + 0.778360i \(0.283948\pi\)
\(180\) 0.821606 + 0.158352i 0.0612389 + 0.0118028i
\(181\) −15.3317 + 4.50179i −1.13959 + 0.334615i −0.796472 0.604675i \(-0.793303\pi\)
−0.343123 + 0.939291i \(0.611485\pi\)
\(182\) 1.42573 2.52792i 0.105682 0.187382i
\(183\) −8.66149 −0.640276
\(184\) 6.04409 9.85823i 0.445576 0.726758i
\(185\) −2.58149 + 4.47127i −0.189795 + 0.328735i
\(186\) −12.5429 1.19770i −0.919689 0.0878197i
\(187\) −5.16395 4.92381i −0.377625 0.360065i
\(188\) 1.97729 2.28191i 0.144209 0.166426i
\(189\) −2.36373 1.18860i −0.171936 0.0864577i
\(190\) −13.0481 15.0583i −0.946608 1.09244i
\(191\) −9.58671 + 7.53907i −0.693670 + 0.545508i −0.901565 0.432643i \(-0.857581\pi\)
0.207895 + 0.978151i \(0.433339\pi\)
\(192\) −3.89606 + 3.71489i −0.281174 + 0.268099i
\(193\) 1.03451 + 21.7170i 0.0744655 + 1.56322i 0.659180 + 0.751985i \(0.270903\pi\)
−0.584715 + 0.811239i \(0.698793\pi\)
\(194\) 12.4312 4.97672i 0.892511 0.357308i
\(195\) −0.523595 + 1.14651i −0.0374954 + 0.0821035i
\(196\) 2.39496 + 2.19318i 0.171069 + 0.156655i
\(197\) 3.69324 25.6870i 0.263132 1.83012i −0.245804 0.969320i \(-0.579052\pi\)
0.508936 0.860804i \(-0.330039\pi\)
\(198\) 7.42463 + 3.82766i 0.527646 + 0.272020i
\(199\) 6.79578 6.47976i 0.481740 0.459338i −0.409869 0.912144i \(-0.634426\pi\)
0.891609 + 0.452806i \(0.149577\pi\)
\(200\) 3.91062 + 1.56557i 0.276522 + 0.110703i
\(201\) 2.50516 7.23819i 0.176701 0.510543i
\(202\) 14.8547 + 9.54655i 1.04517 + 0.671693i
\(203\) 1.68536 2.41796i 0.118289 0.169707i
\(204\) 0.596826 0.175244i 0.0417862 0.0122695i
\(205\) −7.30311 + 10.2558i −0.510071 + 0.716295i
\(206\) −8.09658 + 14.0237i −0.564115 + 0.977077i
\(207\) −3.23517 + 3.54029i −0.224860 + 0.246067i
\(208\) 1.64666 + 2.85210i 0.114175 + 0.197758i
\(209\) −15.5585 34.0683i −1.07620 2.35655i
\(210\) −5.93418 4.57068i −0.409497 0.315407i
\(211\) 0.434308 0.501218i 0.0298990 0.0345053i −0.740603 0.671943i \(-0.765460\pi\)
0.770502 + 0.637437i \(0.220006\pi\)
\(212\) 0.163406 3.43032i 0.0112228 0.235595i
\(213\) 4.20221 0.809910i 0.287931 0.0554941i
\(214\) −22.3654 8.95376i −1.52887 0.612067i
\(215\) 2.80074 + 11.5448i 0.191009 + 0.787348i
\(216\) 2.02840 1.30357i 0.138015 0.0886970i
\(217\) 17.9809 + 11.3013i 1.22063 + 0.767181i
\(218\) −8.07264 + 17.6766i −0.546748 + 1.19721i
\(219\) −7.72289 + 0.737447i −0.521864 + 0.0498320i
\(220\) 3.50006 + 2.75248i 0.235974 + 0.185572i
\(221\) 0.0445838 + 0.935929i 0.00299903 + 0.0629574i
\(222\) −1.05935 4.36672i −0.0710992 0.293075i
\(223\) −1.24237 8.64090i −0.0831955 0.578637i −0.988192 0.153219i \(-0.951036\pi\)
0.904997 0.425418i \(-0.139873\pi\)
\(224\) −6.51719 + 1.98516i −0.435448 + 0.132639i
\(225\) −1.46969 0.944510i −0.0979791 0.0629674i
\(226\) 26.2534 + 5.05992i 1.74635 + 0.336581i
\(227\) −0.944628 + 3.89381i −0.0626972 + 0.258441i −0.994531 0.104445i \(-0.966693\pi\)
0.931834 + 0.362886i \(0.118209\pi\)
\(228\) 3.25025 + 0.310361i 0.215253 + 0.0205542i
\(229\) −4.66096 8.07302i −0.308005 0.533480i 0.669921 0.742432i \(-0.266328\pi\)
−0.977926 + 0.208952i \(0.932995\pi\)
\(230\) −10.8904 + 8.10839i −0.718092 + 0.534651i
\(231\) −8.28209 11.3860i −0.544922 0.749144i
\(232\) 1.11582 + 2.44331i 0.0732572 + 0.160411i
\(233\) 4.10404 + 3.91319i 0.268864 + 0.256362i 0.812502 0.582958i \(-0.198105\pi\)
−0.543638 + 0.839320i \(0.682953\pi\)
\(234\) −0.358776 1.03662i −0.0234539 0.0677657i
\(235\) 10.4337 5.37897i 0.680622 0.350885i
\(236\) 1.29522 3.74230i 0.0843119 0.243603i
\(237\) 1.94871 + 13.5535i 0.126582 + 0.880397i
\(238\) −5.47804 0.998668i −0.355089 0.0647340i
\(239\) −14.1638 + 9.10252i −0.916180 + 0.588793i −0.911547 0.411196i \(-0.865111\pi\)
−0.00463332 + 0.999989i \(0.501475\pi\)
\(240\) 7.89084 3.15901i 0.509351 0.203914i
\(241\) −8.23868 11.5696i −0.530700 0.745264i 0.458997 0.888438i \(-0.348209\pi\)
−0.989698 + 0.143173i \(0.954269\pi\)
\(242\) 15.7692 + 22.1448i 1.01369 + 1.42352i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) 3.38036 2.17242i 0.216405 0.139075i
\(245\) 5.47506 + 11.3763i 0.349789 + 0.726804i
\(246\) −1.55941 10.8459i −0.0994242 0.691511i
\(247\) −1.60862 + 4.64781i −0.102354 + 0.295733i
\(248\) −17.2030 + 8.86876i −1.09239 + 0.563167i
\(249\) 1.57047 + 4.53758i 0.0995246 + 0.287557i
\(250\) −13.8244 13.1815i −0.874329 0.833671i
\(251\) −7.89194 17.2809i −0.498135 1.09076i −0.977071 0.212914i \(-0.931705\pi\)
0.478936 0.877850i \(-0.341023\pi\)
\(252\) 1.22062 0.128979i 0.0768919 0.00812490i
\(253\) −23.9353 + 8.85665i −1.50480 + 0.556813i
\(254\) −2.33142 4.03813i −0.146286 0.253375i
\(255\) 2.40731 + 0.229870i 0.150752 + 0.0143950i
\(256\) 2.49464 10.2831i 0.155915 0.642691i
\(257\) −30.5180 5.88187i −1.90366 0.366901i −0.905335 0.424699i \(-0.860380\pi\)
−0.998328 + 0.0577980i \(0.981592\pi\)
\(258\) −8.69768 5.58966i −0.541494 0.347997i
\(259\) −1.71132 + 7.37784i −0.106336 + 0.458437i
\(260\) −0.0832159 0.578779i −0.00516083 0.0358944i
\(261\) −0.262635 1.08260i −0.0162567 0.0670111i
\(262\) 0.149400 + 3.13630i 0.00922997 + 0.193761i
\(263\) 11.0353 + 8.67823i 0.680464 + 0.535123i 0.897485 0.441044i \(-0.145392\pi\)
−0.217022 + 0.976167i \(0.569634\pi\)
\(264\) 12.7731 1.21968i 0.786130 0.0750663i
\(265\) 5.54634 12.1448i 0.340709 0.746049i
\(266\) −24.7465 15.5536i −1.51731 0.953650i
\(267\) 0.555010 0.356683i 0.0339660 0.0218287i
\(268\) 0.837740 + 3.45321i 0.0511731 + 0.210938i
\(269\) −11.4286 4.57531i −0.696812 0.278961i −0.00390900 0.999992i \(-0.501244\pi\)
−0.692903 + 0.721031i \(0.743669\pi\)
\(270\) −2.77993 + 0.535788i −0.169181 + 0.0326070i
\(271\) 0.771862 16.2034i 0.0468873 0.984285i −0.845770 0.533548i \(-0.820858\pi\)
0.892657 0.450737i \(-0.148839\pi\)
\(272\) 4.13784 4.77532i 0.250893 0.289547i
\(273\) −0.244677 + 1.83267i −0.0148085 + 0.110918i
\(274\) 2.26179 + 4.95263i 0.136640 + 0.299200i
\(275\) −4.64845 8.05135i −0.280312 0.485515i
\(276\) 0.374652 2.19311i 0.0225514 0.132010i
\(277\) 7.47526 12.9475i 0.449145 0.777942i −0.549185 0.835700i \(-0.685062\pi\)
0.998331 + 0.0577583i \(0.0183953\pi\)
\(278\) 8.85856 12.4401i 0.531301 0.746108i
\(279\) 7.70189 2.26148i 0.461100 0.135391i
\(280\) −11.4641 0.978234i −0.685113 0.0584607i
\(281\) 12.5611 + 8.07252i 0.749331 + 0.481566i 0.858728 0.512432i \(-0.171255\pi\)
−0.109396 + 0.993998i \(0.534892\pi\)
\(282\) −3.34141 + 9.65436i −0.198978 + 0.574909i
\(283\) 10.5011 + 4.20400i 0.624224 + 0.249902i 0.662141 0.749379i \(-0.269648\pi\)
−0.0379168 + 0.999281i \(0.512072\pi\)
\(284\) −1.43688 + 1.37006i −0.0852630 + 0.0812981i
\(285\) 11.2825 + 5.81654i 0.668319 + 0.344542i
\(286\) 0.830761 5.77807i 0.0491239 0.341664i
\(287\) −5.86448 + 17.5133i −0.346169 + 1.03378i
\(288\) −1.06970 + 2.34231i −0.0630325 + 0.138022i
\(289\) −14.1133 + 5.65011i −0.830194 + 0.332360i
\(290\) −0.150065 3.15026i −0.00881215 0.184990i
\(291\) −6.17391 + 5.88681i −0.361921 + 0.345091i
\(292\) 2.82908 2.22482i 0.165560 0.130198i
\(293\) −13.9971 16.1535i −0.817717 0.943696i 0.181494 0.983392i \(-0.441907\pi\)
−0.999212 + 0.0396958i \(0.987361\pi\)
\(294\) −10.2810 3.87738i −0.599597 0.226133i
\(295\) 10.0822 11.6354i 0.587006 0.677441i
\(296\) −4.99535 4.76306i −0.290349 0.276847i
\(297\) −5.29748 0.505848i −0.307391 0.0293523i
\(298\) 8.82234 15.2807i 0.511065 0.885190i
\(299\) 3.07744 + 1.32731i 0.177973 + 0.0767603i
\(300\) 0.810478 0.0467929
\(301\) 8.86492 + 15.0033i 0.510965 + 0.864776i
\(302\) −26.8242 + 7.87628i −1.54356 + 0.453229i
\(303\) −11.0460 2.12894i −0.634575 0.122304i
\(304\) 29.4800 15.1980i 1.69080 0.871665i
\(305\) 15.3396 2.95646i 0.878341 0.169286i
\(306\) −1.65435 + 1.30100i −0.0945730 + 0.0743730i
\(307\) 16.4416 + 4.82770i 0.938373 + 0.275531i 0.714938 0.699188i \(-0.246455\pi\)
0.223435 + 0.974719i \(0.428273\pi\)
\(308\) 6.08806 + 2.36640i 0.346899 + 0.134838i
\(309\) 1.46814 10.2112i 0.0835198 0.580893i
\(310\) 22.6224 2.16018i 1.28487 0.122690i
\(311\) −18.4240 25.8729i −1.04473 1.46711i −0.876521 0.481363i \(-0.840142\pi\)
−0.168206 0.985752i \(-0.553797\pi\)
\(312\) −1.32450 1.04160i −0.0749849 0.0589688i
\(313\) 24.7817 + 12.7759i 1.40075 + 0.722135i 0.982511 0.186203i \(-0.0596183\pi\)
0.418236 + 0.908339i \(0.362649\pi\)
\(314\) 24.8992 + 7.31106i 1.40514 + 0.412587i
\(315\) 4.59190 + 1.29819i 0.258724 + 0.0731449i
\(316\) −4.15995 4.80084i −0.234015 0.270068i
\(317\) −0.451602 + 9.48028i −0.0253645 + 0.532466i 0.950051 + 0.312094i \(0.101030\pi\)
−0.975416 + 0.220372i \(0.929273\pi\)
\(318\) 3.80045 + 10.9807i 0.213119 + 0.615766i
\(319\) 1.39763 5.76112i 0.0782525 0.322561i
\(320\) 5.63194 7.90896i 0.314835 0.442124i
\(321\) 15.3477 0.856626
\(322\) −11.8163 + 16.0333i −0.658497 + 0.893499i
\(323\) 9.43641 0.525056
\(324\) 0.269100 0.377898i 0.0149500 0.0209943i
\(325\) −0.287832 + 1.18646i −0.0159660 + 0.0658128i
\(326\) −4.78763 13.8330i −0.265163 0.766137i
\(327\) 0.589063 12.3660i 0.0325753 0.683839i
\(328\) −11.0223 12.7204i −0.608605 0.702367i
\(329\) 12.3422 12.0080i 0.680445 0.662020i
\(330\) −14.4556 4.24455i −0.795754 0.233655i
\(331\) 6.67727 + 3.44237i 0.367016 + 0.189210i 0.631862 0.775081i \(-0.282291\pi\)
−0.264846 + 0.964291i \(0.585321\pi\)
\(332\) −1.75100 1.37700i −0.0960988 0.0755729i
\(333\) 1.66047 + 2.33180i 0.0909931 + 0.127782i
\(334\) −0.822532 + 0.0785422i −0.0450069 + 0.00429764i
\(335\) −1.96602 + 13.6740i −0.107415 + 0.747090i
\(336\) 9.72268 7.80582i 0.530416 0.425843i
\(337\) 29.1667 + 8.56412i 1.58881 + 0.466517i 0.952405 0.304836i \(-0.0986016\pi\)
0.636407 + 0.771353i \(0.280420\pi\)
\(338\) 15.4376 12.1402i 0.839694 0.660342i
\(339\) −16.7252 + 3.22352i −0.908390 + 0.175078i
\(340\) −0.997167 + 0.514075i −0.0540790 + 0.0278796i
\(341\) 41.9446 + 8.08415i 2.27142 + 0.437781i
\(342\) −10.5998 + 3.11239i −0.573174 + 0.168299i
\(343\) 12.5457 + 13.6237i 0.677403 + 0.735612i
\(344\) −15.8815 −0.856271
\(345\) 4.52110 7.37416i 0.243408 0.397011i
\(346\) 8.05865 13.9580i 0.433236 0.750386i
\(347\) −3.03293 0.289610i −0.162816 0.0155471i 0.0133295 0.999911i \(-0.495757\pi\)
−0.176146 + 0.984364i \(0.556363\pi\)
\(348\) 0.374030 + 0.356637i 0.0200501 + 0.0191178i
\(349\) −2.44473 + 2.82137i −0.130863 + 0.151025i −0.817399 0.576071i \(-0.804585\pi\)
0.686536 + 0.727096i \(0.259130\pi\)
\(350\) −6.48201 3.25946i −0.346478 0.174226i
\(351\) 0.457637 + 0.528141i 0.0244269 + 0.0281901i
\(352\) −10.7714 + 8.47069i −0.574116 + 0.451489i
\(353\) 15.5942 14.8690i 0.829994 0.791398i −0.150363 0.988631i \(-0.548044\pi\)
0.980357 + 0.197233i \(0.0631956\pi\)
\(354\) 0.637557 + 13.3840i 0.0338858 + 0.711350i
\(355\) −7.16570 + 2.86871i −0.380316 + 0.152256i
\(356\) −0.127145 + 0.278409i −0.00673867 + 0.0147556i
\(357\) 3.47636 0.706416i 0.183989 0.0373875i
\(358\) 1.20364 8.37151i 0.0636144 0.442448i
\(359\) −13.5273 6.97382i −0.713945 0.368064i 0.0626749 0.998034i \(-0.480037\pi\)
−0.776620 + 0.629970i \(0.783067\pi\)
\(360\) −3.14736 + 3.00100i −0.165881 + 0.158167i
\(361\) 28.3452 + 11.3477i 1.49185 + 0.597248i
\(362\) −8.20350 + 23.7025i −0.431167 + 1.24577i
\(363\) −14.5698 9.36345i −0.764717 0.491454i
\(364\) −0.364169 0.776614i −0.0190876 0.0407056i
\(365\) 13.4256 3.94211i 0.702727 0.206339i
\(366\) −7.88636 + 11.0748i −0.412226 + 0.578891i
\(367\) −13.2159 + 22.8906i −0.689864 + 1.19488i 0.282017 + 0.959409i \(0.408997\pi\)
−0.971881 + 0.235471i \(0.924337\pi\)
\(368\) −8.84285 20.7992i −0.460965 1.08423i
\(369\) 3.49033 + 6.04543i 0.181699 + 0.314712i
\(370\) 3.36664 + 7.37190i 0.175023 + 0.383247i
\(371\) 2.59182 19.4132i 0.134561 1.00788i
\(372\) −2.43864 + 2.81434i −0.126438 + 0.145917i
\(373\) −1.28557 + 26.9874i −0.0665641 + 1.39735i 0.680572 + 0.732682i \(0.261732\pi\)
−0.747136 + 0.664672i \(0.768571\pi\)
\(374\) −10.9976 + 2.11961i −0.568670 + 0.109602i
\(375\) 11.2973 + 4.52274i 0.583388 + 0.233553i
\(376\) 3.69976 + 15.2506i 0.190800 + 0.786490i
\(377\) −0.654914 + 0.420888i −0.0337298 + 0.0216768i
\(378\) −3.67197 + 1.94011i −0.188866 + 0.0997887i
\(379\) 1.97006 4.31384i 0.101195 0.221587i −0.852262 0.523116i \(-0.824770\pi\)
0.953457 + 0.301529i \(0.0974969\pi\)
\(380\) −5.86215 + 0.559768i −0.300722 + 0.0287155i
\(381\) 2.33501 + 1.83627i 0.119626 + 0.0940750i
\(382\) 0.910905 + 19.1222i 0.0466059 + 0.978379i
\(383\) −4.75710 19.6091i −0.243077 1.00198i −0.954262 0.298971i \(-0.903357\pi\)
0.711185 0.703004i \(-0.248159\pi\)
\(384\) 1.93549 + 13.4617i 0.0987702 + 0.686962i
\(385\) 18.5541 + 17.3378i 0.945604 + 0.883614i
\(386\) 28.7099 + 18.4508i 1.46130 + 0.939119i
\(387\) 6.46760 + 1.24653i 0.328767 + 0.0633646i
\(388\) 0.933023 3.84597i 0.0473671 0.195250i
\(389\) 9.76098 + 0.932060i 0.494901 + 0.0472573i 0.339523 0.940598i \(-0.389734\pi\)
0.155378 + 0.987855i \(0.450340\pi\)
\(390\) 0.989228 + 1.71339i 0.0500915 + 0.0867610i
\(391\) 0.475390 6.41263i 0.0240415 0.324301i
\(392\) −16.5054 + 3.52753i −0.833650 + 0.178167i
\(393\) −0.830956 1.81954i −0.0419162 0.0917836i
\(394\) −29.4815 28.1105i −1.48525 1.41619i
\(395\) −8.07746 23.3383i −0.406421 1.17428i
\(396\) 2.19434 1.13126i 0.110270 0.0568481i
\(397\) −2.58498 + 7.46881i −0.129736 + 0.374849i −0.991096 0.133146i \(-0.957492\pi\)
0.861360 + 0.507995i \(0.169613\pi\)
\(398\) −2.09760 14.5892i −0.105143 0.731288i
\(399\) 18.3187 + 3.33956i 0.917080 + 0.167187i
\(400\) 6.92607 4.45112i 0.346304 0.222556i
\(401\) −20.2427 + 8.10395i −1.01087 + 0.404692i −0.817188 0.576372i \(-0.804468\pi\)
−0.193684 + 0.981064i \(0.562044\pi\)
\(402\) −6.97400 9.79361i −0.347831 0.488461i
\(403\) −3.25386 4.56940i −0.162086 0.227618i
\(404\) 4.84493 1.93962i 0.241044 0.0964995i
\(405\) 1.51729 0.975101i 0.0753946 0.0484532i
\(406\) −1.55714 4.35652i −0.0772794 0.216211i
\(407\) 2.16796 + 15.0785i 0.107462 + 0.747412i
\(408\) −1.05737 + 3.05508i −0.0523477 + 0.151249i
\(409\) −25.2364 + 13.0103i −1.24786 + 0.643317i −0.950285 0.311381i \(-0.899208\pi\)
−0.297576 + 0.954698i \(0.596178\pi\)
\(410\) 6.46381 + 18.6759i 0.319225 + 0.922339i
\(411\) −2.51036 2.39362i −0.123827 0.118069i
\(412\) 1.98812 + 4.35339i 0.0979479 + 0.214476i
\(413\) 9.17452 20.6372i 0.451448 1.01549i
\(414\) 1.58107 + 7.36005i 0.0777051 + 0.361727i
\(415\) −4.33015 7.50004i −0.212559 0.368162i
\(416\) 1.79135 + 0.171053i 0.0878280 + 0.00838656i
\(417\) −2.29376 + 9.45499i −0.112326 + 0.463013i
\(418\) −57.7268 11.1259i −2.82351 0.544187i
\(419\) −14.5484 9.34971i −0.710738 0.456763i 0.134666 0.990891i \(-0.457004\pi\)
−0.845404 + 0.534128i \(0.820640\pi\)
\(420\) −2.11771 + 0.645062i −0.103333 + 0.0314758i
\(421\) −5.68730 39.5560i −0.277182 1.92784i −0.363542 0.931578i \(-0.618433\pi\)
0.0863602 0.996264i \(-0.472476\pi\)
\(422\) −0.245431 1.01168i −0.0119474 0.0492479i
\(423\) −0.309685 6.50108i −0.0150574 0.316093i
\(424\) 14.0302 + 11.0334i 0.681365 + 0.535832i
\(425\) 2.33179 0.222659i 0.113108 0.0108005i
\(426\) 2.79057 6.11050i 0.135204 0.296055i
\(427\) 20.2618 10.7055i 0.980539 0.518075i
\(428\) −5.98982 + 3.84942i −0.289529 + 0.186069i
\(429\) 0.876760 + 3.61405i 0.0423304 + 0.174488i
\(430\) 17.3116 + 6.93052i 0.834840 + 0.334220i
\(431\) −29.2778 + 5.64283i −1.41026 + 0.271805i −0.836836 0.547453i \(-0.815597\pi\)
−0.573424 + 0.819259i \(0.694385\pi\)
\(432\) 0.224235 4.70728i 0.0107885 0.226479i
\(433\) 1.70135 1.96346i 0.0817617 0.0943580i −0.713395 0.700762i \(-0.752843\pi\)
0.795156 + 0.606404i \(0.207389\pi\)
\(434\) 30.8220 12.7011i 1.47950 0.609671i
\(435\) 0.834657 + 1.82764i 0.0400187 + 0.0876288i
\(436\) 2.87166 + 4.97386i 0.137528 + 0.238205i
\(437\) 14.8269 30.3217i 0.709266 1.45048i
\(438\) −6.08883 + 10.5462i −0.290936 + 0.503915i
\(439\) −13.3826 + 18.7932i −0.638717 + 0.896952i −0.999361 0.0357513i \(-0.988618\pi\)
0.360644 + 0.932704i \(0.382557\pi\)
\(440\) −22.2050 + 6.51996i −1.05858 + 0.310827i
\(441\) 6.99858 0.141056i 0.333266 0.00671694i
\(442\) 1.23730 + 0.795165i 0.0588524 + 0.0378221i
\(443\) −12.0192 + 34.7273i −0.571050 + 1.64994i 0.175397 + 0.984498i \(0.443879\pi\)
−0.746448 + 0.665444i \(0.768242\pi\)
\(444\) −1.23289 0.493573i −0.0585102 0.0234240i
\(445\) −0.861179 + 0.821133i −0.0408238 + 0.0389254i
\(446\) −12.1797 6.27907i −0.576726 0.297323i
\(447\) −1.59975 + 11.1265i −0.0756653 + 0.526264i
\(448\) 4.52252 13.5057i 0.213669 0.638086i
\(449\) −7.15637 + 15.6703i −0.337730 + 0.739526i −0.999952 0.00978193i \(-0.996886\pi\)
0.662222 + 0.749308i \(0.269614\pi\)
\(450\) −2.54584 + 1.01920i −0.120012 + 0.0480456i
\(451\) 1.76758 + 37.1060i 0.0832320 + 1.74725i
\(452\) 5.71892 5.45298i 0.268995 0.256487i
\(453\) 13.9998 11.0096i 0.657770 0.517276i
\(454\) 4.11865 + 4.75318i 0.193298 + 0.223078i
\(455\) −0.192228 3.32920i −0.00901178 0.156075i
\(456\) −11.1127 + 12.8248i −0.520401 + 0.600574i
\(457\) −5.22341 4.98051i −0.244341 0.232979i 0.558005 0.829837i \(-0.311567\pi\)
−0.802346 + 0.596859i \(0.796415\pi\)
\(458\) −14.5662 1.39091i −0.680636 0.0649928i
\(459\) 0.670398 1.16116i 0.0312915 0.0541985i
\(460\) 0.0850722 + 4.01190i 0.00396651 + 0.187056i
\(461\) 10.1831 0.474275 0.237137 0.971476i \(-0.423791\pi\)
0.237137 + 0.971476i \(0.423791\pi\)
\(462\) −22.0994 + 0.222683i −1.02816 + 0.0103602i
\(463\) 22.4280 6.58545i 1.04232 0.306052i 0.284608 0.958644i \(-0.408137\pi\)
0.757710 + 0.652592i \(0.226318\pi\)
\(464\) 5.15498 + 0.993541i 0.239314 + 0.0461240i
\(465\) −12.8682 + 6.63401i −0.596748 + 0.307645i
\(466\) 8.74028 1.68455i 0.404886 0.0780353i
\(467\) −7.03433 + 5.53186i −0.325510 + 0.255984i −0.767518 0.641027i \(-0.778509\pi\)
0.442008 + 0.897011i \(0.354266\pi\)
\(468\) −0.311069 0.0913382i −0.0143792 0.00422211i
\(469\) 3.08598 + 20.0287i 0.142497 + 0.924838i
\(470\) 2.62230 18.2385i 0.120958 0.841279i
\(471\) −16.4573 + 1.57148i −0.758313 + 0.0724101i
\(472\) 11.9388 + 16.7657i 0.549529 + 0.771705i
\(473\) 27.5522 + 21.6673i 1.26685 + 0.996261i
\(474\) 19.1043 + 9.84894i 0.877489 + 0.452377i
\(475\) 11.7973 + 3.46401i 0.541299 + 0.158940i
\(476\) −1.17956 + 1.14762i −0.0540649 + 0.0526009i
\(477\) −4.84767 5.59451i −0.221959 0.256155i
\(478\) −1.25750 + 26.3982i −0.0575167 + 1.20743i
\(479\) −4.63182 13.3828i −0.211633 0.611474i 0.788360 0.615215i \(-0.210931\pi\)
−0.999993 + 0.00374038i \(0.998809\pi\)
\(480\) 1.09493 4.51337i 0.0499766 0.206006i
\(481\) 1.16039 1.62954i 0.0529091 0.0743004i
\(482\) −22.2946 −1.01549
\(483\) 3.19230 12.2804i 0.145255 0.558779i
\(484\) 8.03471 0.365214
\(485\) 8.92468 12.5330i 0.405249 0.569092i
\(486\) −0.370068 + 1.52544i −0.0167866 + 0.0691954i
\(487\) 2.08196 + 6.01543i 0.0943427 + 0.272585i 0.982292 0.187356i \(-0.0599917\pi\)
−0.887949 + 0.459941i \(0.847871\pi\)
\(488\) −0.993714 + 20.8606i −0.0449833 + 0.944316i
\(489\) 6.10687 + 7.04770i 0.276162 + 0.318708i
\(490\) 19.5311 + 3.35763i 0.882327 + 0.151682i
\(491\) 40.4646 + 11.8815i 1.82614 + 0.536203i 0.999643 0.0267359i \(-0.00851130\pi\)
0.826498 + 0.562939i \(0.190329\pi\)
\(492\) −2.87846 1.48395i −0.129771 0.0669017i
\(493\) 1.17408 + 0.923310i 0.0528781 + 0.0415838i
\(494\) 4.47817 + 6.28871i 0.201482 + 0.282942i
\(495\) 9.55454 0.912348i 0.429445 0.0410070i
\(496\) −5.38354 + 37.4433i −0.241728 + 1.68126i
\(497\) −8.82920 + 7.08850i −0.396044 + 0.317963i
\(498\) 7.23181 + 2.12345i 0.324065 + 0.0951541i
\(499\) −10.5727 + 8.31448i −0.473300 + 0.372207i −0.826129 0.563480i \(-0.809462\pi\)
0.352829 + 0.935688i \(0.385220\pi\)
\(500\) −5.54339 + 1.06840i −0.247908 + 0.0477804i
\(501\) 0.467877 0.241207i 0.0209032 0.0107763i
\(502\) −29.2816 5.64357i −1.30690 0.251885i
\(503\) −32.6547 + 9.58830i −1.45600 + 0.427521i −0.911522 0.411252i \(-0.865092\pi\)
−0.544481 + 0.838773i \(0.683273\pi\)
\(504\) −3.13384 + 5.55653i −0.139593 + 0.247508i
\(505\) 20.2892 0.902857
\(506\) −10.4689 + 38.6685i −0.465402 + 1.71902i
\(507\) −6.25582 + 10.8354i −0.277831 + 0.481217i
\(508\) −1.37186 0.130996i −0.0608663 0.00581203i
\(509\) −9.76784 9.31362i −0.432952 0.412819i 0.442010 0.897010i \(-0.354265\pi\)
−0.874962 + 0.484191i \(0.839114\pi\)
\(510\) 2.48580 2.86876i 0.110073 0.127031i
\(511\) 17.1547 11.2705i 0.758879 0.498578i
\(512\) 6.93549 + 8.00398i 0.306508 + 0.353729i
\(513\) 5.53218 4.35055i 0.244252 0.192082i
\(514\) −35.3077 + 33.6658i −1.55735 + 1.48493i
\(515\) 0.885321 + 18.5852i 0.0390119 + 0.818961i
\(516\) −2.83679 + 1.13568i −0.124883 + 0.0499954i
\(517\) 14.3880 31.5053i 0.632783 1.38560i
\(518\) 7.87536 + 8.90573i 0.346023 + 0.391295i
\(519\) −1.46127 + 10.1633i −0.0641424 + 0.446120i
\(520\) 2.70123 + 1.39258i 0.118457 + 0.0610687i
\(521\) −3.73504 + 3.56136i −0.163635 + 0.156026i −0.767473 0.641082i \(-0.778486\pi\)
0.603838 + 0.797107i \(0.293638\pi\)
\(522\) −1.62337 0.649901i −0.0710531 0.0284454i
\(523\) −2.36122 + 6.82230i −0.103249 + 0.298318i −0.984779 0.173809i \(-0.944392\pi\)
0.881530 + 0.472127i \(0.156514\pi\)
\(524\) 0.780667 + 0.501704i 0.0341036 + 0.0219171i
\(525\) 4.60544 + 0.392982i 0.200998 + 0.0171511i
\(526\) 21.1440 6.20842i 0.921920 0.270700i
\(527\) −6.24293 + 8.76697i −0.271946 + 0.381895i
\(528\) 12.5393 21.7187i 0.545702 0.945184i
\(529\) −19.8586 11.6033i −0.863416 0.504493i
\(530\) −10.4787 18.1497i −0.455166 0.788371i
\(531\) −3.54606 7.76479i −0.153886 0.336963i
\(532\) −7.98691 + 3.29123i −0.346277 + 0.142693i
\(533\) 3.19461 3.68677i 0.138374 0.159692i
\(534\) 0.0492753 1.03442i 0.00213235 0.0447635i
\(535\) −27.1809 + 5.23869i −1.17513 + 0.226489i
\(536\) −17.1453 6.86394i −0.740564 0.296477i
\(537\) 1.27029 + 5.23619i 0.0548169 + 0.225958i
\(538\) −16.2559 + 10.4470i −0.700843 + 0.450404i
\(539\) 33.4473 + 16.3988i 1.44068 + 0.706344i
\(540\) −0.347589 + 0.761114i −0.0149578 + 0.0327531i
\(541\) 0.552603 0.0527672i 0.0237582 0.00226864i −0.0831702 0.996535i \(-0.526504\pi\)
0.106928 + 0.994267i \(0.465898\pi\)
\(542\) −20.0153 15.7402i −0.859732 0.676101i
\(543\) −0.760309 15.9608i −0.0326280 0.684945i
\(544\) −0.813972 3.35524i −0.0348987 0.143855i
\(545\) 3.17769 + 22.1013i 0.136117 + 0.946715i
\(546\) 2.12053 + 1.98152i 0.0907503 + 0.0848010i
\(547\) −20.6537 13.2733i −0.883089 0.567527i 0.0186411 0.999826i \(-0.494066\pi\)
−0.901730 + 0.432299i \(0.857702\pi\)
\(548\) 1.58008 + 0.304536i 0.0674978 + 0.0130091i
\(549\) 2.04202 8.41733i 0.0871514 0.359243i
\(550\) −14.5272 1.38717i −0.619440 0.0591493i
\(551\) 3.92012 + 6.78984i 0.167003 + 0.289257i
\(552\) 8.15539 + 8.19788i 0.347116 + 0.348925i
\(553\) −21.3106 29.2973i −0.906219 1.24585i
\(554\) −9.74882 21.3469i −0.414188 0.906944i
\(555\) −3.73663 3.56287i −0.158611 0.151235i
\(556\) −1.47625 4.26535i −0.0626070 0.180891i
\(557\) 1.01439 0.522955i 0.0429811 0.0221583i −0.436602 0.899655i \(-0.643818\pi\)
0.479583 + 0.877496i \(0.340788\pi\)
\(558\) 4.12104 11.9070i 0.174457 0.504062i
\(559\) −0.655067 4.55609i −0.0277064 0.192702i
\(560\) −14.5546 + 17.1429i −0.615042 + 0.724418i
\(561\) 6.00247 3.85755i 0.253424 0.162866i
\(562\) 21.7587 8.71088i 0.917837 0.367446i
\(563\) 15.0449 + 21.1276i 0.634065 + 0.890420i 0.999178 0.0405433i \(-0.0129089\pi\)
−0.365113 + 0.930963i \(0.618969\pi\)
\(564\) 1.75143 + 2.45953i 0.0737483 + 0.103565i
\(565\) 28.5202 11.4178i 1.19985 0.480349i
\(566\) 14.9367 9.59922i 0.627835 0.403485i
\(567\) 1.71236 2.01688i 0.0719125 0.0847011i
\(568\) −1.46850 10.2137i −0.0616171 0.428556i
\(569\) 2.54997 7.36764i 0.106900 0.308868i −0.878846 0.477105i \(-0.841686\pi\)
0.985747 + 0.168237i \(0.0538075\pi\)
\(570\) 17.7100 9.13016i 0.741792 0.382420i
\(571\) −10.7571 31.0805i −0.450169 1.30068i −0.910713 0.413040i \(-0.864467\pi\)
0.460544 0.887637i \(-0.347654\pi\)
\(572\) −1.24863 1.19057i −0.0522080 0.0497802i
\(573\) −5.06641 11.0939i −0.211652 0.463454i
\(574\) 17.0533 + 23.4445i 0.711793 + 0.978554i
\(575\) 2.94834 7.84252i 0.122954 0.327056i
\(576\) −2.69164 4.66206i −0.112152 0.194252i
\(577\) 12.4455 + 1.18840i 0.518112 + 0.0494737i 0.350837 0.936437i \(-0.385897\pi\)
0.167275 + 0.985910i \(0.446503\pi\)
\(578\) −5.62587 + 23.1902i −0.234005 + 0.964583i
\(579\) −21.3487 4.11463i −0.887223 0.170998i
\(580\) −0.784144 0.503939i −0.0325598 0.0209249i
\(581\) −9.28220 8.67369i −0.385090 0.359845i
\(582\) 1.90566 + 13.2541i 0.0789920 + 0.549402i
\(583\) −9.28736 38.2830i −0.384643 1.58552i
\(584\) 0.890061 + 18.6847i 0.0368310 + 0.773178i
\(585\) −0.990752 0.779136i −0.0409625 0.0322133i
\(586\) −33.3988 + 3.18920i −1.37969 + 0.131744i
\(587\) −5.13432 + 11.2426i −0.211916 + 0.464031i −0.985503 0.169659i \(-0.945733\pi\)
0.773587 + 0.633690i \(0.218461\pi\)
\(588\) −2.69599 + 1.81039i −0.111181 + 0.0746593i
\(589\) −47.5255 + 30.5428i −1.95825 + 1.25849i
\(590\) −5.69752 23.4855i −0.234563 0.966883i
\(591\) 24.0922 + 9.64507i 0.991022 + 0.396745i
\(592\) −13.2465 + 2.55306i −0.544429 + 0.104930i
\(593\) −1.82832 + 38.3812i −0.0750802 + 1.57613i 0.576212 + 0.817300i \(0.304530\pi\)
−0.651292 + 0.758827i \(0.725773\pi\)
\(594\) −5.47019 + 6.31294i −0.224445 + 0.259023i
\(595\) −5.91555 + 2.43767i −0.242514 + 0.0999347i
\(596\) −2.16634 4.74361i −0.0887366 0.194306i
\(597\) 4.69494 + 8.13187i 0.192151 + 0.332815i
\(598\) 4.49917 2.72638i 0.183985 0.111490i
\(599\) −6.03678 + 10.4560i −0.246656 + 0.427221i −0.962596 0.270941i \(-0.912665\pi\)
0.715940 + 0.698162i \(0.245999\pi\)
\(600\) −2.44341 + 3.43128i −0.0997516 + 0.140082i
\(601\) −19.7570 + 5.80118i −0.805904 + 0.236635i −0.658636 0.752462i \(-0.728866\pi\)
−0.147268 + 0.989097i \(0.547048\pi\)
\(602\) 27.2553 + 2.32569i 1.11084 + 0.0947880i
\(603\) 6.44354 + 4.14101i 0.262401 + 0.168635i
\(604\) −2.70242 + 7.80812i −0.109960 + 0.317708i
\(605\) 28.9993 + 11.6096i 1.17899 + 0.471997i
\(606\) −12.7796 + 12.1853i −0.519135 + 0.494994i
\(607\) 0.932735 + 0.480858i 0.0378585 + 0.0195174i 0.477052 0.878875i \(-0.341705\pi\)
−0.439193 + 0.898393i \(0.644736\pi\)
\(608\) 2.57913 17.9382i 0.104597 0.727491i
\(609\) 1.95246 + 2.20791i 0.0791176 + 0.0894690i
\(610\) 10.1866 22.3055i 0.412443 0.903124i
\(611\) −4.22251 + 1.69044i −0.170824 + 0.0683878i
\(612\) 0.0295970 + 0.621317i 0.00119639 + 0.0251153i
\(613\) 4.72314 4.50351i 0.190766 0.181895i −0.588677 0.808369i \(-0.700351\pi\)
0.779443 + 0.626474i \(0.215502\pi\)
\(614\) 21.1431 16.6271i 0.853265 0.671015i
\(615\) −8.24491 9.51513i −0.332467 0.383687i
\(616\) −28.3726 + 18.6406i −1.14317 + 0.751051i
\(617\) −23.3262 + 26.9199i −0.939078 + 1.08375i 0.0572691 + 0.998359i \(0.481761\pi\)
−0.996347 + 0.0853951i \(0.972785\pi\)
\(618\) −11.7195 11.1746i −0.471429 0.449507i
\(619\) 26.2186 + 2.50357i 1.05381 + 0.100627i 0.607556 0.794277i \(-0.292150\pi\)
0.446259 + 0.894904i \(0.352756\pi\)
\(620\) 3.35822 5.81661i 0.134869 0.233601i
\(621\) −2.67777 3.97864i −0.107455 0.159657i
\(622\) −49.8570 −1.99908
\(623\) −0.857480 + 1.52037i −0.0343542 + 0.0609125i
\(624\) −3.15992 + 0.927837i −0.126498 + 0.0371432i
\(625\) −12.9740 2.50054i −0.518962 0.100022i
\(626\) 38.8996 20.0541i 1.55474 0.801525i
\(627\) 36.7760 7.08799i 1.46869 0.283067i
\(628\) 6.02872 4.74104i 0.240572 0.189188i
\(629\) −3.68268 1.08133i −0.146838 0.0431156i
\(630\) 5.84087 4.68933i 0.232706 0.186827i
\(631\) 3.23561 22.5042i 0.128808 0.895876i −0.818261 0.574846i \(-0.805062\pi\)
0.947069 0.321030i \(-0.104029\pi\)
\(632\) 32.8664 3.13836i 1.30736 0.124837i
\(633\) 0.384697 + 0.540232i 0.0152904 + 0.0214723i
\(634\) 11.7106 + 9.20931i 0.465087 + 0.365748i
\(635\) −4.76210 2.45503i −0.188978 0.0974251i
\(636\) 3.29510 + 0.967529i 0.130659 + 0.0383650i
\(637\) −1.69279 4.58959i −0.0670706 0.181846i
\(638\) −6.09379 7.03261i −0.241255 0.278424i
\(639\) −0.203629 + 4.27470i −0.00805544 + 0.169105i
\(640\) −8.02269 23.1801i −0.317125 0.916272i
\(641\) −1.65886 + 6.83793i −0.0655212 + 0.270082i −0.995144 0.0984307i \(-0.968618\pi\)
0.929623 + 0.368513i \(0.120133\pi\)
\(642\) 13.9742 19.6240i 0.551518 0.774499i
\(643\) 35.1943 1.38793 0.693965 0.720009i \(-0.255862\pi\)
0.693965 + 0.720009i \(0.255862\pi\)
\(644\) 1.83423 + 5.59342i 0.0722789 + 0.220411i
\(645\) −11.8797 −0.467761
\(646\) 8.59193 12.0657i 0.338045 0.474718i
\(647\) 0.703855 2.90133i 0.0276714 0.114063i −0.956301 0.292384i \(-0.905551\pi\)
0.983972 + 0.178321i \(0.0570666\pi\)
\(648\) 0.788615 + 2.27855i 0.0309797 + 0.0895101i
\(649\) 2.16145 45.3745i 0.0848445 1.78110i
\(650\) 1.25497 + 1.44831i 0.0492239 + 0.0568074i
\(651\) −15.2219 + 14.8097i −0.596593 + 0.580438i
\(652\) −4.15102 1.21885i −0.162566 0.0477338i
\(653\) 23.6087 + 12.1711i 0.923880 + 0.476293i 0.853422 0.521221i \(-0.174523\pi\)
0.0704588 + 0.997515i \(0.477554\pi\)
\(654\) −15.2751 12.0125i −0.597305 0.469726i
\(655\) 2.09270 + 2.93879i 0.0817686 + 0.114828i
\(656\) −32.7482 + 3.12707i −1.27860 + 0.122092i
\(657\) 1.10408 7.67905i 0.0430743 0.299588i
\(658\) −4.11610 26.7144i −0.160462 1.04144i
\(659\) −28.1946 8.27867i −1.09830 0.322491i −0.318126 0.948049i \(-0.603053\pi\)
−0.780178 + 0.625557i \(0.784872\pi\)
\(660\) −3.50006 + 2.75248i −0.136240 + 0.107140i
\(661\) 5.49495 1.05906i 0.213729 0.0411928i −0.0812628 0.996693i \(-0.525895\pi\)
0.294991 + 0.955500i \(0.404683\pi\)
\(662\) 10.4812 5.40345i 0.407365 0.210011i
\(663\) −0.920057 0.177327i −0.0357321 0.00688679i
\(664\) 11.1086 3.26179i 0.431099 0.126582i
\(665\) −33.5824 + 0.338391i −1.30227 + 0.0131222i
\(666\) 4.49338 0.174115
\(667\) 4.81161 2.32191i 0.186306 0.0899045i
\(668\) −0.122102 + 0.211487i −0.00472428 + 0.00818268i
\(669\) 8.69023 + 0.829816i 0.335984 + 0.0320825i
\(670\) 15.6939 + 14.9641i 0.606308 + 0.578114i
\(671\) 30.1843 34.8346i 1.16525 1.34477i
\(672\) −0.392719 6.80150i −0.0151495 0.262374i
\(673\) −9.08839 10.4886i −0.350332 0.404304i 0.553046 0.833151i \(-0.313465\pi\)
−0.903377 + 0.428847i \(0.858920\pi\)
\(674\) 37.5069 29.4957i 1.44471 1.13613i
\(675\) 1.26438 1.20558i 0.0486659 0.0464029i
\(676\) −0.276184 5.79782i −0.0106225 0.222993i
\(677\) −18.5748 + 7.43621i −0.713886 + 0.285797i −0.700036 0.714107i \(-0.746833\pi\)
−0.0138496 + 0.999904i \(0.504409\pi\)
\(678\) −11.1068 + 24.3204i −0.426553 + 0.934020i
\(679\) 7.16662 21.4019i 0.275030 0.821329i
\(680\) 0.829814 5.77148i 0.0318219 0.221326i
\(681\) −3.56135 1.83600i −0.136471 0.0703557i
\(682\) 48.5275 46.2709i 1.85821 1.77180i
\(683\) −10.7231 4.29288i −0.410308 0.164262i 0.157320 0.987548i \(-0.449715\pi\)
−0.567628 + 0.823285i \(0.692139\pi\)
\(684\) −1.06789 + 3.08546i −0.0408317 + 0.117975i
\(685\) 5.26290 + 3.38226i 0.201085 + 0.129229i
\(686\) 28.8427 3.63677i 1.10122 0.138852i
\(687\) 8.94431 2.62629i 0.341247 0.100199i
\(688\) −18.0051 + 25.2847i −0.686439 + 0.963969i
\(689\) −2.58658 + 4.48009i −0.0985409 + 0.170678i
\(690\) −5.31232 12.4950i −0.202236 0.475678i
\(691\) 18.3832 + 31.8406i 0.699328 + 1.21127i 0.968700 + 0.248236i \(0.0798508\pi\)
−0.269371 + 0.963036i \(0.586816\pi\)
\(692\) −1.97881 4.33299i −0.0752231 0.164716i
\(693\) 13.0176 5.36428i 0.494499 0.203772i
\(694\) −3.13181 + 3.61430i −0.118882 + 0.137197i
\(695\) 0.834952 17.5278i 0.0316716 0.664868i
\(696\) −2.63750 + 0.508336i −0.0999741 + 0.0192684i
\(697\) −8.68918 3.47862i −0.329126 0.131762i
\(698\) 1.38154 + 5.69479i 0.0522921 + 0.215551i
\(699\) −4.77045 + 3.06578i −0.180435 + 0.115958i
\(700\) −1.89595 + 1.00174i −0.0716603 + 0.0378622i
\(701\) 15.1113 33.0892i 0.570747 1.24976i −0.375652 0.926761i \(-0.622581\pi\)
0.946399 0.323001i \(-0.104692\pi\)
\(702\) 1.09198 0.104271i 0.0412141 0.00393547i
\(703\) −15.8364 12.4539i −0.597280 0.469707i
\(704\) −1.36310 28.6151i −0.0513739 1.07847i
\(705\) 2.76749 + 11.4078i 0.104230 + 0.429641i
\(706\) −4.81334 33.4775i −0.181153 1.25994i
\(707\) 28.4712 8.67245i 1.07077 0.326161i
\(708\) 3.33145 + 2.14100i 0.125204 + 0.0804635i
\(709\) 24.1142 + 4.64763i 0.905627 + 0.174545i 0.620741 0.784016i \(-0.286832\pi\)
0.284887 + 0.958561i \(0.408044\pi\)
\(710\) −2.85641 + 11.7743i −0.107199 + 0.441880i
\(711\) −13.6309 1.30159i −0.511199 0.0488136i
\(712\) −0.795373 1.37763i −0.0298079 0.0516287i
\(713\) 18.3615 + 33.8352i 0.687643 + 1.26714i
\(714\) 2.26201 5.08818i 0.0846538 0.190420i
\(715\) −2.78635 6.10125i −0.104204 0.228174i
\(716\) −1.80907 1.72495i −0.0676082 0.0644643i
\(717\) −5.50669 15.9105i −0.205651 0.594190i
\(718\) −21.2337 + 10.9467i −0.792434 + 0.408528i
\(719\) −10.9137 + 31.5330i −0.407011 + 1.17598i 0.536288 + 0.844035i \(0.319826\pi\)
−0.943299 + 0.331946i \(0.892295\pi\)
\(720\) 1.20963 + 8.41317i 0.0450803 + 0.313540i
\(721\) 9.18643 + 25.7016i 0.342121 + 0.957178i
\(722\) 40.3180 25.9108i 1.50048 0.964301i
\(723\) 13.1858 5.27881i 0.490386 0.196321i
\(724\) 4.29993 + 6.03841i 0.159806 + 0.224416i
\(725\) 1.12889 + 1.58531i 0.0419261 + 0.0588770i
\(726\) −25.2383 + 10.1039i −0.936682 + 0.374991i
\(727\) 10.0407 6.45276i 0.372388 0.239319i −0.341038 0.940049i \(-0.610779\pi\)
0.713427 + 0.700730i \(0.247142\pi\)
\(728\) 4.38580 + 0.799548i 0.162549 + 0.0296332i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 7.18361 20.7557i 0.265877 0.768202i
\(731\) −7.84960 + 4.04675i −0.290328 + 0.149674i
\(732\) 1.31424 + 3.79724i 0.0485756 + 0.140350i
\(733\) −33.9333 32.3554i −1.25336 1.19507i −0.971873 0.235507i \(-0.924325\pi\)
−0.281484 0.959566i \(-0.590827\pi\)
\(734\) 17.2354 + 37.7403i 0.636172 + 1.39302i
\(735\) −12.3464 + 2.63866i −0.455404 + 0.0973286i
\(736\) −12.0602 2.65638i −0.444546 0.0979153i
\(737\) 20.3802 + 35.2995i 0.750714 + 1.30027i
\(738\) 10.9078 + 1.04157i 0.401523 + 0.0383408i
\(739\) −5.98783 + 24.6822i −0.220266 + 0.907949i 0.749125 + 0.662428i \(0.230474\pi\)
−0.969391 + 0.245521i \(0.921041\pi\)
\(740\) 2.35193 + 0.453297i 0.0864585 + 0.0166635i
\(741\) −4.13755 2.65904i −0.151997 0.0976824i
\(742\) −22.4624 20.9898i −0.824620 0.770561i
\(743\) 2.46031 + 17.1118i 0.0902599 + 0.627772i 0.983864 + 0.178916i \(0.0572591\pi\)
−0.893604 + 0.448855i \(0.851832\pi\)
\(744\) −4.56300 18.8089i −0.167288 0.689570i
\(745\) −0.964680 20.2511i −0.0353431 0.741944i
\(746\) 33.3363 + 26.2160i 1.22053 + 0.959836i
\(747\) −4.77992 + 0.456427i −0.174888 + 0.0166998i
\(748\) −1.37508 + 3.01101i −0.0502779 + 0.110093i
\(749\) −35.9029 + 18.9696i −1.31186 + 0.693133i
\(750\) 16.0691 10.3270i 0.586762 0.377089i
\(751\) −9.09333 37.4832i −0.331820 1.36778i −0.856353 0.516391i \(-0.827275\pi\)
0.524532 0.851390i \(-0.324240\pi\)
\(752\) 28.4748 + 11.3996i 1.03837 + 0.415700i
\(753\) 18.6544 3.59534i 0.679805 0.131022i
\(754\) −0.0581450 + 1.22061i −0.00211752 + 0.0444521i
\(755\) −21.0359 + 24.2767i −0.765574 + 0.883519i
\(756\) −0.162429 + 1.21662i −0.00590750 + 0.0442481i
\(757\) −10.0096 21.9180i −0.363805 0.796621i −0.999691 0.0248390i \(-0.992093\pi\)
0.635887 0.771782i \(-0.280635\pi\)
\(758\) −3.72204 6.44677i −0.135191 0.234157i
\(759\) −2.96402 25.3487i −0.107587 0.920099i
\(760\) 15.3032 26.5059i 0.555105 0.961470i
\(761\) 28.3547 39.8185i 1.02786 1.44342i 0.136213 0.990680i \(-0.456507\pi\)
0.891642 0.452741i \(-0.149554\pi\)
\(762\) 4.47396 1.31367i 0.162074 0.0475893i
\(763\) 13.9062 + 29.6558i 0.503437 + 1.07361i
\(764\) 4.75979 + 3.05893i 0.172203 + 0.110668i
\(765\) −0.790936 + 2.28526i −0.0285964 + 0.0826237i
\(766\) −29.4041 11.7716i −1.06241 0.425326i
\(767\) −4.31733 + 4.11656i −0.155890 + 0.148641i
\(768\) 9.40506 + 4.84864i 0.339376 + 0.174960i
\(769\) −6.67705 + 46.4399i −0.240781 + 1.67467i 0.407455 + 0.913225i \(0.366416\pi\)
−0.648235 + 0.761440i \(0.724493\pi\)
\(770\) 39.0622 7.93765i 1.40770 0.286053i
\(771\) 12.9110 28.2711i 0.464977 1.01816i
\(772\) 9.36387 3.74873i 0.337013 0.134920i
\(773\) −1.18870