Properties

Label 570.2.bf.a.29.20
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.20
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.67471 + 0.441997i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.90673 - 1.16807i) q^{5} +(-1.72602 - 0.144472i) q^{6} +(-2.42894 - 1.40235i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.60928 + 1.48043i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.67471 + 0.441997i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.90673 - 1.16807i) q^{5} +(-1.72602 - 0.144472i) q^{6} +(-2.42894 - 1.40235i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.60928 + 1.48043i) q^{9} +(2.08060 + 0.819221i) q^{10} +(-5.08124 + 2.93365i) q^{11} +(1.72488 - 0.157442i) q^{12} +(-2.44808 - 2.05418i) q^{13} +(2.63556 + 0.959265i) q^{14} +(-2.67693 - 2.79894i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.740904 + 4.20188i) q^{17} +(-2.82671 - 1.00484i) q^{18} +(-1.47061 + 4.10333i) q^{19} +(-2.19124 - 0.445483i) q^{20} +(-3.44793 - 3.42211i) q^{21} +(4.49462 - 3.77143i) q^{22} +(-7.84429 + 2.85509i) q^{23} +(-1.67134 + 0.454573i) q^{24} +(2.27124 + 4.45438i) q^{25} +(2.76759 + 1.59787i) q^{26} +(3.71543 + 3.63257i) q^{27} +(-2.76209 - 0.487031i) q^{28} +(0.140039 - 0.794199i) q^{29} +(3.12229 + 2.29157i) q^{30} +(-0.327703 - 0.189199i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(-9.80625 + 2.66712i) q^{33} +(-1.45930 - 4.00938i) q^{34} +(2.99330 + 5.51107i) q^{35} +(2.95826 + 0.498722i) q^{36} +0.577661 q^{37} +(0.735732 - 4.29636i) q^{38} +(-3.19186 - 4.52219i) q^{39} +(2.23531 + 0.0582100i) q^{40} +(6.13650 - 5.14914i) q^{41} +(3.98979 + 2.77139i) q^{42} +(0.0911924 - 0.250549i) q^{43} +(-3.77143 + 4.49462i) q^{44} +(-3.24595 - 5.87059i) q^{45} +(7.22933 - 4.17386i) q^{46} +(1.53141 - 8.68509i) q^{47} +(1.56701 - 0.737891i) q^{48} +(0.433177 + 0.750284i) q^{49} +(-3.01023 - 3.99231i) q^{50} +(-0.616419 + 7.36438i) q^{51} +(-3.00301 - 1.09301i) q^{52} +(1.39838 + 3.84201i) q^{53} +(-4.28977 - 2.93221i) q^{54} +(13.1153 + 0.341536i) q^{55} +2.80470 q^{56} +(-4.27649 + 6.22186i) q^{57} +0.806451i q^{58} +(-1.97667 - 11.2102i) q^{59} +(-3.47278 - 1.71458i) q^{60} +(-5.56123 + 2.02412i) q^{61} +(0.355578 + 0.129420i) q^{62} +(-4.26171 - 7.25500i) q^{63} +(0.500000 - 0.866025i) q^{64} +(2.26840 + 6.77628i) q^{65} +(9.19413 - 4.32943i) q^{66} +(0.0547307 - 0.310393i) q^{67} +(2.13335 + 3.69507i) q^{68} +(-14.3988 + 1.31428i) q^{69} +(-3.90481 - 4.90757i) q^{70} +(-11.7903 - 4.29132i) q^{71} +(-2.99992 + 0.0225503i) q^{72} +(-0.930133 - 1.10849i) q^{73} +(-0.568885 + 0.100310i) q^{74} +(1.83484 + 8.46365i) q^{75} +(0.0215007 + 4.35885i) q^{76} +16.4561 q^{77} +(3.92864 + 3.89922i) q^{78} +(0.149928 + 0.178677i) q^{79} +(-2.21146 + 0.330832i) q^{80} +(4.61666 + 7.72570i) q^{81} +(-5.14914 + 6.13650i) q^{82} +(-1.81869 + 3.15006i) q^{83} +(-4.41043 - 2.03647i) q^{84} +(3.49537 - 8.87727i) q^{85} +(-0.0462996 + 0.262578i) q^{86} +(0.585557 - 1.26815i) q^{87} +(2.93365 - 5.08124i) q^{88} +(-11.3272 - 9.50467i) q^{89} +(4.21605 + 5.21775i) q^{90} +(3.06556 + 8.42254i) q^{91} +(-6.39472 + 5.36581i) q^{92} +(-0.465180 - 0.461696i) q^{93} +8.81907i q^{94} +(7.59702 - 6.10617i) q^{95} +(-1.41507 + 0.998789i) q^{96} +(2.19206 + 12.4318i) q^{97} +(-0.556881 - 0.663665i) q^{98} +(-17.6014 + 0.132309i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) 1.67471 + 0.441997i 0.966892 + 0.255187i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −1.90673 1.16807i −0.852716 0.522375i
\(6\) −1.72602 0.144472i −0.704643 0.0589805i
\(7\) −2.42894 1.40235i −0.918054 0.530039i −0.0350404 0.999386i \(-0.511156\pi\)
−0.883014 + 0.469347i \(0.844489\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 2.60928 + 1.48043i 0.869759 + 0.493476i
\(10\) 2.08060 + 0.819221i 0.657942 + 0.259060i
\(11\) −5.08124 + 2.93365i −1.53205 + 0.884530i −0.532784 + 0.846251i \(0.678854\pi\)
−0.999267 + 0.0382790i \(0.987812\pi\)
\(12\) 1.72488 0.157442i 0.497930 0.0454496i
\(13\) −2.44808 2.05418i −0.678974 0.569727i 0.236732 0.971575i \(-0.423924\pi\)
−0.915706 + 0.401848i \(0.868368\pi\)
\(14\) 2.63556 + 0.959265i 0.704382 + 0.256374i
\(15\) −2.67693 2.79894i −0.691181 0.722682i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.740904 + 4.20188i 0.179696 + 1.01910i 0.932583 + 0.360955i \(0.117549\pi\)
−0.752887 + 0.658149i \(0.771340\pi\)
\(18\) −2.82671 1.00484i −0.666262 0.236843i
\(19\) −1.47061 + 4.10333i −0.337381 + 0.941368i
\(20\) −2.19124 0.445483i −0.489977 0.0996131i
\(21\) −3.44793 3.42211i −0.752400 0.746766i
\(22\) 4.49462 3.77143i 0.958256 0.804072i
\(23\) −7.84429 + 2.85509i −1.63565 + 0.595327i −0.986270 0.165140i \(-0.947192\pi\)
−0.649377 + 0.760467i \(0.724970\pi\)
\(24\) −1.67134 + 0.454573i −0.341160 + 0.0927892i
\(25\) 2.27124 + 4.45438i 0.454248 + 0.890875i
\(26\) 2.76759 + 1.59787i 0.542769 + 0.313368i
\(27\) 3.71543 + 3.63257i 0.715034 + 0.699089i
\(28\) −2.76209 0.487031i −0.521986 0.0920403i
\(29\) 0.140039 0.794199i 0.0260045 0.147479i −0.969041 0.246900i \(-0.920588\pi\)
0.995045 + 0.0994211i \(0.0316991\pi\)
\(30\) 3.12229 + 2.29157i 0.570050 + 0.418381i
\(31\) −0.327703 0.189199i −0.0588571 0.0339812i 0.470283 0.882516i \(-0.344152\pi\)
−0.529140 + 0.848535i \(0.677485\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) −9.80625 + 2.66712i −1.70705 + 0.464286i
\(34\) −1.45930 4.00938i −0.250267 0.687604i
\(35\) 2.99330 + 5.51107i 0.505960 + 0.931541i
\(36\) 2.95826 + 0.498722i 0.493043 + 0.0831204i
\(37\) 0.577661 0.0949669 0.0474834 0.998872i \(-0.484880\pi\)
0.0474834 + 0.998872i \(0.484880\pi\)
\(38\) 0.735732 4.29636i 0.119351 0.696961i
\(39\) −3.19186 4.52219i −0.511107 0.724129i
\(40\) 2.23531 + 0.0582100i 0.353434 + 0.00920381i
\(41\) 6.13650 5.14914i 0.958361 0.804160i −0.0223246 0.999751i \(-0.507107\pi\)
0.980686 + 0.195590i \(0.0626623\pi\)
\(42\) 3.98979 + 2.77139i 0.615638 + 0.427635i
\(43\) 0.0911924 0.250549i 0.0139067 0.0382084i −0.932545 0.361054i \(-0.882417\pi\)
0.946452 + 0.322845i \(0.104639\pi\)
\(44\) −3.77143 + 4.49462i −0.568565 + 0.677589i
\(45\) −3.24595 5.87059i −0.483878 0.875136i
\(46\) 7.22933 4.17386i 1.06591 0.615402i
\(47\) 1.53141 8.68509i 0.223380 1.26685i −0.642379 0.766388i \(-0.722052\pi\)
0.865758 0.500462i \(-0.166837\pi\)
\(48\) 1.56701 0.737891i 0.226178 0.106505i
\(49\) 0.433177 + 0.750284i 0.0618824 + 0.107183i
\(50\) −3.01023 3.99231i −0.425711 0.564597i
\(51\) −0.616419 + 7.36438i −0.0863159 + 1.03122i
\(52\) −3.00301 1.09301i −0.416442 0.151573i
\(53\) 1.39838 + 3.84201i 0.192082 + 0.527741i 0.997925 0.0643884i \(-0.0205096\pi\)
−0.805843 + 0.592129i \(0.798287\pi\)
\(54\) −4.28977 2.93221i −0.583764 0.399023i
\(55\) 13.1153 + 0.341536i 1.76846 + 0.0460527i
\(56\) 2.80470 0.374794
\(57\) −4.27649 + 6.22186i −0.566436 + 0.824106i
\(58\) 0.806451i 0.105892i
\(59\) −1.97667 11.2102i −0.257340 1.45945i −0.789993 0.613116i \(-0.789916\pi\)
0.532653 0.846334i \(-0.321195\pi\)
\(60\) −3.47278 1.71458i −0.448335 0.221351i
\(61\) −5.56123 + 2.02412i −0.712042 + 0.259162i −0.672544 0.740057i \(-0.734798\pi\)
−0.0394986 + 0.999220i \(0.512576\pi\)
\(62\) 0.355578 + 0.129420i 0.0451585 + 0.0164363i
\(63\) −4.26171 7.25500i −0.536925 0.914044i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 2.26840 + 6.77628i 0.281361 + 0.840494i
\(66\) 9.19413 4.32943i 1.13172 0.532917i
\(67\) 0.0547307 0.310393i 0.00668642 0.0379206i −0.981282 0.192576i \(-0.938316\pi\)
0.987968 + 0.154656i \(0.0494268\pi\)
\(68\) 2.13335 + 3.69507i 0.258707 + 0.448093i
\(69\) −14.3988 + 1.31428i −1.73341 + 0.158221i
\(70\) −3.90481 4.90757i −0.466714 0.586566i
\(71\) −11.7903 4.29132i −1.39925 0.509286i −0.471295 0.881976i \(-0.656213\pi\)
−0.927956 + 0.372690i \(0.878435\pi\)
\(72\) −2.99992 + 0.0225503i −0.353543 + 0.00265758i
\(73\) −0.930133 1.10849i −0.108864 0.129739i 0.708861 0.705348i \(-0.249209\pi\)
−0.817725 + 0.575609i \(0.804765\pi\)
\(74\) −0.568885 + 0.100310i −0.0661315 + 0.0116608i
\(75\) 1.83484 + 8.46365i 0.211869 + 0.977298i
\(76\) 0.0215007 + 4.35885i 0.00246630 + 0.499994i
\(77\) 16.4561 1.87534
\(78\) 3.92864 + 3.89922i 0.444831 + 0.441500i
\(79\) 0.149928 + 0.178677i 0.0168682 + 0.0201028i 0.774413 0.632681i \(-0.218046\pi\)
−0.757544 + 0.652784i \(0.773601\pi\)
\(80\) −2.21146 + 0.330832i −0.247249 + 0.0369881i
\(81\) 4.61666 + 7.72570i 0.512963 + 0.858411i
\(82\) −5.14914 + 6.13650i −0.568627 + 0.677664i
\(83\) −1.81869 + 3.15006i −0.199627 + 0.345764i −0.948408 0.317054i \(-0.897306\pi\)
0.748780 + 0.662818i \(0.230640\pi\)
\(84\) −4.41043 2.03647i −0.481217 0.222197i
\(85\) 3.49537 8.87727i 0.379126 0.962875i
\(86\) −0.0462996 + 0.262578i −0.00499262 + 0.0283145i
\(87\) 0.585557 1.26815i 0.0627783 0.135960i
\(88\) 2.93365 5.08124i 0.312729 0.541662i
\(89\) −11.3272 9.50467i −1.20068 1.00749i −0.999610 0.0279174i \(-0.991112\pi\)
−0.201074 0.979576i \(-0.564443\pi\)
\(90\) 4.21605 + 5.21775i 0.444411 + 0.549999i
\(91\) 3.06556 + 8.42254i 0.321358 + 0.882923i
\(92\) −6.39472 + 5.36581i −0.666696 + 0.559424i
\(93\) −0.465180 0.461696i −0.0482369 0.0478757i
\(94\) 8.81907i 0.909617i
\(95\) 7.59702 6.10617i 0.779437 0.626480i
\(96\) −1.41507 + 0.998789i −0.144425 + 0.101938i
\(97\) 2.19206 + 12.4318i 0.222570 + 1.26226i 0.867276 + 0.497828i \(0.165869\pi\)
−0.644705 + 0.764431i \(0.723020\pi\)
\(98\) −0.556881 0.663665i −0.0562535 0.0670403i
\(99\) −17.6014 + 0.132309i −1.76901 + 0.0132976i
\(100\) 3.65776 + 3.40893i 0.365776 + 0.340893i
\(101\) −6.16510 + 7.34728i −0.613450 + 0.731081i −0.979929 0.199345i \(-0.936119\pi\)
0.366479 + 0.930426i \(0.380563\pi\)
\(102\) −0.671758 7.35954i −0.0665139 0.728703i
\(103\) −4.45159 7.71039i −0.438629 0.759727i 0.558955 0.829198i \(-0.311202\pi\)
−0.997584 + 0.0694708i \(0.977869\pi\)
\(104\) 3.14718 + 0.554934i 0.308607 + 0.0544157i
\(105\) 2.57702 + 10.5525i 0.251492 + 1.02981i
\(106\) −2.04429 3.54082i −0.198559 0.343915i
\(107\) 2.42461 + 1.39985i 0.234396 + 0.135329i 0.612598 0.790394i \(-0.290124\pi\)
−0.378202 + 0.925723i \(0.623458\pi\)
\(108\) 4.73377 + 2.14275i 0.455508 + 0.206186i
\(109\) −4.43192 + 12.1766i −0.424501 + 1.16631i 0.524604 + 0.851347i \(0.324213\pi\)
−0.949105 + 0.314960i \(0.898009\pi\)
\(110\) −12.9753 + 1.94109i −1.23715 + 0.185076i
\(111\) 0.967412 + 0.255324i 0.0918227 + 0.0242343i
\(112\) −2.76209 + 0.487031i −0.260993 + 0.0460201i
\(113\) 9.30807i 0.875629i −0.899065 0.437815i \(-0.855753\pi\)
0.899065 0.437815i \(-0.144247\pi\)
\(114\) 3.13111 6.86995i 0.293255 0.643429i
\(115\) 18.2919 + 3.71877i 1.70573 + 0.346777i
\(116\) −0.140039 0.794199i −0.0130023 0.0737396i
\(117\) −3.34664 8.98412i −0.309397 0.830583i
\(118\) 3.89328 + 10.6967i 0.358405 + 0.984710i
\(119\) 4.09289 11.2451i 0.375195 1.03084i
\(120\) 3.71776 + 1.08548i 0.339383 + 0.0990907i
\(121\) 11.7127 20.2869i 1.06479 1.84427i
\(122\) 5.12526 2.95907i 0.464019 0.267901i
\(123\) 12.5527 5.91098i 1.13184 0.532975i
\(124\) −0.372650 0.0657082i −0.0334649 0.00590077i
\(125\) 0.872361 11.1463i 0.0780263 0.996951i
\(126\) 5.45678 + 6.40474i 0.486129 + 0.570580i
\(127\) 9.55303 + 8.01594i 0.847694 + 0.711300i 0.959281 0.282455i \(-0.0911488\pi\)
−0.111587 + 0.993755i \(0.535593\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 0.263462 0.379289i 0.0231966 0.0333946i
\(130\) −3.41063 6.27943i −0.299132 0.550742i
\(131\) −5.96444 + 1.05169i −0.521116 + 0.0918868i −0.428018 0.903770i \(-0.640788\pi\)
−0.0930978 + 0.995657i \(0.529677\pi\)
\(132\) −8.30265 + 5.86020i −0.722653 + 0.510065i
\(133\) 9.32633 7.90444i 0.808696 0.685402i
\(134\) 0.315182i 0.0272276i
\(135\) −2.84123 11.2662i −0.244534 0.969641i
\(136\) −2.74258 3.26848i −0.235174 0.280270i
\(137\) 18.0494 6.56946i 1.54207 0.561267i 0.575527 0.817782i \(-0.304797\pi\)
0.966540 + 0.256516i \(0.0825746\pi\)
\(138\) 13.9518 3.79464i 1.18766 0.323021i
\(139\) 1.23736 + 1.03826i 0.104951 + 0.0880645i 0.693753 0.720213i \(-0.255956\pi\)
−0.588802 + 0.808277i \(0.700400\pi\)
\(140\) 4.69768 + 4.15494i 0.397026 + 0.351157i
\(141\) 6.40345 13.8681i 0.539268 1.16790i
\(142\) 12.3564 + 2.17876i 1.03692 + 0.182837i
\(143\) 18.4655 + 3.25597i 1.54416 + 0.272278i
\(144\) 2.95042 0.543138i 0.245869 0.0452615i
\(145\) −1.19469 + 1.35075i −0.0992139 + 0.112174i
\(146\) 1.10849 + 0.930133i 0.0917393 + 0.0769784i
\(147\) 0.393820 + 1.44797i 0.0324818 + 0.119426i
\(148\) 0.542824 0.197572i 0.0446198 0.0162403i
\(149\) 12.1342 + 14.4610i 0.994073 + 1.18469i 0.982785 + 0.184754i \(0.0591487\pi\)
0.0112880 + 0.999936i \(0.496407\pi\)
\(150\) −3.27666 8.01645i −0.267538 0.654540i
\(151\) 2.05253i 0.167033i −0.996506 0.0835163i \(-0.973385\pi\)
0.996506 0.0835163i \(-0.0266151\pi\)
\(152\) −0.778080 4.28889i −0.0631106 0.347875i
\(153\) −4.28735 + 12.0607i −0.346612 + 0.975051i
\(154\) −16.2061 + 2.85756i −1.30592 + 0.230269i
\(155\) 0.403843 + 0.743530i 0.0324375 + 0.0597218i
\(156\) −4.54605 3.15778i −0.363975 0.252825i
\(157\) −1.00557 + 2.76277i −0.0802528 + 0.220493i −0.973329 0.229412i \(-0.926320\pi\)
0.893077 + 0.449905i \(0.148542\pi\)
\(158\) −0.178677 0.149928i −0.0142148 0.0119276i
\(159\) 0.643715 + 7.05232i 0.0510499 + 0.559285i
\(160\) 2.12041 0.709822i 0.167633 0.0561163i
\(161\) 23.0572 + 4.06560i 1.81716 + 0.320414i
\(162\) −5.88808 6.80665i −0.462611 0.534781i
\(163\) −12.2818 + 7.09091i −0.961986 + 0.555403i −0.896784 0.442469i \(-0.854103\pi\)
−0.0652022 + 0.997872i \(0.520769\pi\)
\(164\) 4.00532 6.93742i 0.312763 0.541721i
\(165\) 21.8132 + 6.36887i 1.69816 + 0.495816i
\(166\) 1.24406 3.41802i 0.0965575 0.265290i
\(167\) 3.24444 + 8.91402i 0.251062 + 0.689788i 0.999642 + 0.0267434i \(0.00851371\pi\)
−0.748580 + 0.663044i \(0.769264\pi\)
\(168\) 4.69705 + 1.23967i 0.362385 + 0.0956425i
\(169\) −0.484006 2.74493i −0.0372312 0.211149i
\(170\) −1.90074 + 9.34937i −0.145780 + 0.717064i
\(171\) −9.91191 + 8.52959i −0.757983 + 0.652274i
\(172\) 0.266629i 0.0203303i
\(173\) −1.47394 + 0.259896i −0.112062 + 0.0197595i −0.229398 0.973333i \(-0.573676\pi\)
0.117336 + 0.993092i \(0.462565\pi\)
\(174\) −0.356449 + 1.35057i −0.0270223 + 0.102386i
\(175\) 0.729881 14.0045i 0.0551738 1.05864i
\(176\) −2.00674 + 5.51347i −0.151264 + 0.415593i
\(177\) 1.64455 19.6475i 0.123612 1.47680i
\(178\) 12.8056 + 7.39332i 0.959821 + 0.554153i
\(179\) 6.01949 + 10.4261i 0.449918 + 0.779280i 0.998380 0.0568949i \(-0.0181200\pi\)
−0.548463 + 0.836175i \(0.684787\pi\)
\(180\) −5.05806 4.40637i −0.377005 0.328431i
\(181\) 12.8250 + 2.26140i 0.953277 + 0.168088i 0.628593 0.777734i \(-0.283631\pi\)
0.324684 + 0.945823i \(0.394742\pi\)
\(182\) −4.48154 7.76226i −0.332194 0.575377i
\(183\) −10.2081 + 0.931764i −0.754603 + 0.0688780i
\(184\) 5.36581 6.39472i 0.395573 0.471425i
\(185\) −1.10144 0.674746i −0.0809797 0.0496083i
\(186\) 0.538286 + 0.373905i 0.0394690 + 0.0274160i
\(187\) −16.0916 19.1772i −1.17673 1.40237i
\(188\) −1.53141 8.68509i −0.111690 0.633425i
\(189\) −3.93042 14.0337i −0.285896 1.02080i
\(190\) −6.42127 + 7.33261i −0.465848 + 0.531964i
\(191\) 22.7737i 1.64785i 0.566699 + 0.823925i \(0.308220\pi\)
−0.566699 + 0.823925i \(0.691780\pi\)
\(192\) 1.22013 1.22934i 0.0880555 0.0887199i
\(193\) −16.0924 + 13.5031i −1.15836 + 0.971976i −0.999882 0.0153865i \(-0.995102\pi\)
−0.158475 + 0.987363i \(0.550658\pi\)
\(194\) −4.31752 11.8623i −0.309980 0.851663i
\(195\) 0.803812 + 12.3509i 0.0575622 + 0.884466i
\(196\) 0.663665 + 0.556881i 0.0474046 + 0.0397772i
\(197\) −3.42024 + 5.92404i −0.243682 + 0.422070i −0.961760 0.273892i \(-0.911689\pi\)
0.718078 + 0.695963i \(0.245022\pi\)
\(198\) 17.3111 3.18676i 1.23024 0.226473i
\(199\) 1.29993 7.37224i 0.0921493 0.522604i −0.903434 0.428726i \(-0.858962\pi\)
0.995584 0.0938782i \(-0.0299264\pi\)
\(200\) −4.19414 2.72198i −0.296571 0.192473i
\(201\) 0.228851 0.495627i 0.0161419 0.0349588i
\(202\) 4.79559 8.30621i 0.337417 0.584423i
\(203\) −1.45389 + 1.73268i −0.102043 + 0.121610i
\(204\) 1.93952 + 7.13109i 0.135794 + 0.499276i
\(205\) −17.7152 + 2.65017i −1.23728 + 0.185096i
\(206\) 5.72286 + 6.82024i 0.398730 + 0.475188i
\(207\) −24.6947 4.16319i −1.71640 0.289362i
\(208\) −3.19574 −0.221584
\(209\) −4.56523 25.1643i −0.315784 1.74065i
\(210\) −4.37029 9.94464i −0.301578 0.686245i
\(211\) −9.93375 + 1.75159i −0.683868 + 0.120584i −0.504779 0.863249i \(-0.668426\pi\)
−0.179089 + 0.983833i \(0.557315\pi\)
\(212\) 2.62809 + 3.13204i 0.180498 + 0.215109i
\(213\) −17.8485 12.3980i −1.22296 0.849494i
\(214\) −2.63086 0.957553i −0.179842 0.0654570i
\(215\) −0.466537 + 0.371211i −0.0318176 + 0.0253164i
\(216\) −5.03394 1.28819i −0.342516 0.0876500i
\(217\) 0.530647 + 0.919108i 0.0360227 + 0.0623931i
\(218\) 2.25015 12.7612i 0.152399 0.864298i
\(219\) −1.06775 2.26751i −0.0721519 0.153224i
\(220\) 12.4411 4.16474i 0.838780 0.280787i
\(221\) 6.81762 11.8085i 0.458603 0.794323i
\(222\) −0.997051 0.0834559i −0.0669177 0.00560119i
\(223\) 19.0599 + 6.93723i 1.27634 + 0.464551i 0.889222 0.457477i \(-0.151247\pi\)
0.387123 + 0.922028i \(0.373469\pi\)
\(224\) 2.63556 0.959265i 0.176096 0.0640936i
\(225\) −0.668084 + 14.9851i −0.0445389 + 0.999008i
\(226\) 1.61633 + 9.16666i 0.107517 + 0.609757i
\(227\) 27.1644i 1.80297i 0.432814 + 0.901483i \(0.357521\pi\)
−0.432814 + 0.901483i \(0.642479\pi\)
\(228\) −1.89059 + 7.30929i −0.125207 + 0.484069i
\(229\) −0.853480 −0.0563995 −0.0281998 0.999602i \(-0.508977\pi\)
−0.0281998 + 0.999602i \(0.508977\pi\)
\(230\) −18.6597 0.485920i −1.23039 0.0320406i
\(231\) 27.5590 + 7.27352i 1.81325 + 0.478563i
\(232\) 0.275823 + 0.757816i 0.0181086 + 0.0497531i
\(233\) −10.1506 3.69452i −0.664989 0.242036i −0.0125999 0.999921i \(-0.504011\pi\)
−0.652389 + 0.757885i \(0.726233\pi\)
\(234\) 4.85588 + 8.26650i 0.317439 + 0.540398i
\(235\) −13.0648 + 14.7713i −0.852250 + 0.963575i
\(236\) −5.69159 9.85813i −0.370491 0.641709i
\(237\) 0.172111 + 0.365500i 0.0111798 + 0.0237418i
\(238\) −2.07802 + 11.7850i −0.134698 + 0.763909i
\(239\) −17.8849 + 10.3259i −1.15688 + 0.667924i −0.950554 0.310559i \(-0.899484\pi\)
−0.206325 + 0.978484i \(0.566150\pi\)
\(240\) −3.84977 0.423411i −0.248502 0.0273311i
\(241\) 0.922717 1.09965i 0.0594374 0.0708348i −0.735507 0.677518i \(-0.763056\pi\)
0.794944 + 0.606683i \(0.207500\pi\)
\(242\) −8.01193 + 22.0126i −0.515026 + 1.41502i
\(243\) 4.31682 + 14.9788i 0.276924 + 0.960892i
\(244\) −4.53355 + 3.80410i −0.290231 + 0.243533i
\(245\) 0.0504304 1.93657i 0.00322188 0.123723i
\(246\) −11.3356 + 8.00094i −0.722732 + 0.510121i
\(247\) 12.0291 7.02436i 0.765395 0.446950i
\(248\) 0.378398 0.0240283
\(249\) −4.43809 + 4.47157i −0.281252 + 0.283374i
\(250\) 1.07642 + 11.1284i 0.0680787 + 0.703822i
\(251\) −9.26299 25.4498i −0.584675 1.60638i −0.780095 0.625661i \(-0.784829\pi\)
0.195421 0.980719i \(-0.437393\pi\)
\(252\) −6.48605 5.35988i −0.408583 0.337641i
\(253\) 31.4829 37.5198i 1.97931 2.35885i
\(254\) −10.7998 6.23529i −0.677643 0.391237i
\(255\) 9.77743 13.3219i 0.612287 0.834248i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 23.9090 + 4.21581i 1.49140 + 0.262975i 0.859125 0.511766i \(-0.171009\pi\)
0.632279 + 0.774741i \(0.282120\pi\)
\(258\) −0.193597 + 0.419277i −0.0120528 + 0.0261030i
\(259\) −1.40311 0.810083i −0.0871847 0.0503361i
\(260\) 4.44922 + 5.59178i 0.275929 + 0.346788i
\(261\) 1.54116 1.86497i 0.0953951 0.115439i
\(262\) 5.69121 2.07143i 0.351604 0.127973i
\(263\) −17.5337 + 14.7126i −1.08118 + 0.907215i −0.996018 0.0891523i \(-0.971584\pi\)
−0.0851589 + 0.996367i \(0.527140\pi\)
\(264\) 7.15890 7.21291i 0.440600 0.443924i
\(265\) 1.82140 8.95908i 0.111887 0.550352i
\(266\) −7.81205 + 9.40386i −0.478988 + 0.576587i
\(267\) −14.7687 20.9241i −0.903832 1.28054i
\(268\) −0.0547307 0.310393i −0.00334321 0.0189603i
\(269\) −9.51096 + 7.98064i −0.579893 + 0.486588i −0.884912 0.465758i \(-0.845782\pi\)
0.305019 + 0.952346i \(0.401337\pi\)
\(270\) 4.75442 + 10.6017i 0.289345 + 0.645197i
\(271\) −24.9123 9.06735i −1.51332 0.550802i −0.553848 0.832618i \(-0.686841\pi\)
−0.959468 + 0.281816i \(0.909063\pi\)
\(272\) 3.26848 + 2.74258i 0.198181 + 0.166293i
\(273\) 1.41117 + 15.4602i 0.0854077 + 0.935697i
\(274\) −16.6345 + 9.60390i −1.00492 + 0.580193i
\(275\) −24.6083 15.9707i −1.48394 0.963070i
\(276\) −13.0809 + 6.15970i −0.787380 + 0.370771i
\(277\) 0.521644 0.301171i 0.0313426 0.0180956i −0.484247 0.874931i \(-0.660906\pi\)
0.515589 + 0.856836i \(0.327573\pi\)
\(278\) −1.39885 0.807627i −0.0838975 0.0484382i
\(279\) −0.574971 0.978814i −0.0344226 0.0586000i
\(280\) −5.34781 3.27608i −0.319593 0.195783i
\(281\) 8.68753 3.16200i 0.518255 0.188629i −0.0696316 0.997573i \(-0.522182\pi\)
0.587886 + 0.808943i \(0.299960\pi\)
\(282\) −3.89800 + 14.7693i −0.232122 + 0.879501i
\(283\) −5.42480 + 0.956539i −0.322471 + 0.0568604i −0.332541 0.943089i \(-0.607906\pi\)
0.0100694 + 0.999949i \(0.496795\pi\)
\(284\) −12.5470 −0.744526
\(285\) 15.4217 6.86819i 0.913501 0.406836i
\(286\) −18.7504 −1.10873
\(287\) −22.1261 + 3.90143i −1.30606 + 0.230294i
\(288\) −2.81129 + 1.04722i −0.165657 + 0.0617081i
\(289\) −1.13206 + 0.412034i −0.0665915 + 0.0242373i
\(290\) 0.941989 1.53768i 0.0553155 0.0902960i
\(291\) −1.82376 + 21.7885i −0.106911 + 1.27727i
\(292\) −1.25317 0.723515i −0.0733359 0.0423405i
\(293\) 10.8441 6.26085i 0.633520 0.365763i −0.148594 0.988898i \(-0.547475\pi\)
0.782114 + 0.623135i \(0.214141\pi\)
\(294\) −0.639274 1.35758i −0.0372832 0.0791759i
\(295\) −9.32534 + 23.6838i −0.542942 + 1.37892i
\(296\) −0.500269 + 0.288830i −0.0290775 + 0.0167879i
\(297\) −29.5357 7.55819i −1.71383 0.438571i
\(298\) −14.4610 12.1342i −0.837702 0.702916i
\(299\) 25.0683 + 9.12410i 1.44973 + 0.527660i
\(300\) 4.61893 + 7.32568i 0.266674 + 0.422948i
\(301\) −0.572859 + 0.480686i −0.0330191 + 0.0277063i
\(302\) 0.356418 + 2.02135i 0.0205096 + 0.116316i
\(303\) −13.5722 + 9.57957i −0.779702 + 0.550332i
\(304\) 1.51102 + 4.08862i 0.0866628 + 0.234499i
\(305\) 12.9681 + 2.63643i 0.742550 + 0.150962i
\(306\) 2.12790 12.6220i 0.121644 0.721551i
\(307\) −11.9257 + 10.0068i −0.680635 + 0.571121i −0.916192 0.400740i \(-0.868753\pi\)
0.235557 + 0.971861i \(0.424309\pi\)
\(308\) 15.4636 5.62830i 0.881122 0.320702i
\(309\) −4.04714 14.8802i −0.230234 0.846506i
\(310\) −0.526821 0.662108i −0.0299214 0.0376052i
\(311\) 20.1822 + 11.6522i 1.14443 + 0.660737i 0.947524 0.319686i \(-0.103577\pi\)
0.196906 + 0.980422i \(0.436911\pi\)
\(312\) 5.02533 + 2.32040i 0.284503 + 0.131367i
\(313\) 1.39481 + 0.245942i 0.0788392 + 0.0139015i 0.212929 0.977068i \(-0.431700\pi\)
−0.134089 + 0.990969i \(0.542811\pi\)
\(314\) 0.510539 2.89541i 0.0288114 0.163397i
\(315\) −0.348395 + 18.8113i −0.0196298 + 1.05990i
\(316\) 0.201998 + 0.116623i 0.0113633 + 0.00656058i
\(317\) 11.2821 13.4455i 0.633667 0.755175i −0.349689 0.936866i \(-0.613713\pi\)
0.983356 + 0.181691i \(0.0581571\pi\)
\(318\) −1.85856 6.83340i −0.104223 0.383198i
\(319\) 1.61834 + 4.44634i 0.0906094 + 0.248947i
\(320\) −1.96494 + 1.06724i −0.109844 + 0.0596607i
\(321\) 3.44178 + 3.41600i 0.192101 + 0.190663i
\(322\) −23.4129 −1.30475
\(323\) −18.3313 3.13914i −1.01998 0.174667i
\(324\) 6.98059 + 5.68079i 0.387810 + 0.315599i
\(325\) 3.58991 15.5702i 0.199133 0.863678i
\(326\) 10.8639 9.11590i 0.601696 0.504883i
\(327\) −12.8042 + 18.4333i −0.708073 + 1.01937i
\(328\) −2.73980 + 7.52754i −0.151280 + 0.415639i
\(329\) −15.8993 + 18.9480i −0.876554 + 1.04464i
\(330\) −22.5878 2.48429i −1.24342 0.136755i
\(331\) 1.47859 0.853667i 0.0812709 0.0469218i −0.458814 0.888532i \(-0.651726\pi\)
0.540085 + 0.841611i \(0.318392\pi\)
\(332\) −0.631624 + 3.58212i −0.0346649 + 0.196594i
\(333\) 1.50728 + 0.855186i 0.0825983 + 0.0468639i
\(334\) −4.74305 8.21521i −0.259528 0.449516i
\(335\) −0.466917 + 0.527907i −0.0255104 + 0.0288427i
\(336\) −4.84096 0.405201i −0.264096 0.0221055i
\(337\) −25.3177 9.21487i −1.37914 0.501966i −0.457223 0.889352i \(-0.651156\pi\)
−0.921918 + 0.387386i \(0.873378\pi\)
\(338\) 0.953305 + 2.61918i 0.0518530 + 0.142465i
\(339\) 4.11413 15.5883i 0.223449 0.846639i
\(340\) 0.248364 9.53739i 0.0134695 0.517238i
\(341\) 2.22018 0.120230
\(342\) 8.28018 10.1212i 0.447741 0.547292i
\(343\) 17.2031i 0.928877i
\(344\) 0.0462996 + 0.262578i 0.00249631 + 0.0141573i
\(345\) 28.9898 + 14.3128i 1.56076 + 0.770574i
\(346\) 1.40642 0.511895i 0.0756096 0.0275196i
\(347\) −2.97628 1.08328i −0.159775 0.0581534i 0.260894 0.965367i \(-0.415983\pi\)
−0.420670 + 0.907214i \(0.638205\pi\)
\(348\) 0.116510 1.39195i 0.00624558 0.0746162i
\(349\) 3.83396 6.64061i 0.205227 0.355464i −0.744978 0.667089i \(-0.767540\pi\)
0.950205 + 0.311625i \(0.100873\pi\)
\(350\) 1.71306 + 13.9185i 0.0915671 + 0.743974i
\(351\) −1.63369 16.5250i −0.0871999 0.882038i
\(352\) 1.01885 5.77817i 0.0543048 0.307978i
\(353\) −3.71414 6.43309i −0.197684 0.342399i 0.750093 0.661332i \(-0.230009\pi\)
−0.947777 + 0.318934i \(0.896675\pi\)
\(354\) 1.79219 + 19.6346i 0.0952539 + 1.04357i
\(355\) 17.4684 + 21.9542i 0.927125 + 1.16521i
\(356\) −13.8949 5.05733i −0.736429 0.268038i
\(357\) 11.8247 17.0232i 0.625829 0.900965i
\(358\) −7.73850 9.22239i −0.408993 0.487418i
\(359\) 21.2531 3.74750i 1.12170 0.197786i 0.418111 0.908396i \(-0.362692\pi\)
0.703586 + 0.710610i \(0.251581\pi\)
\(360\) 5.74637 + 3.46110i 0.302860 + 0.182416i
\(361\) −14.6746 12.0688i −0.772348 0.635199i
\(362\) −13.0229 −0.684467
\(363\) 28.5820 28.7977i 1.50017 1.51149i
\(364\) 5.76136 + 6.86612i 0.301977 + 0.359883i
\(365\) 0.478724 + 3.20005i 0.0250576 + 0.167498i
\(366\) 9.89119 2.69022i 0.517021 0.140620i
\(367\) −4.65967 + 5.55318i −0.243233 + 0.289874i −0.873825 0.486241i \(-0.838368\pi\)
0.630592 + 0.776115i \(0.282812\pi\)
\(368\) −4.17386 + 7.22933i −0.217577 + 0.376855i
\(369\) 23.6348 4.35088i 1.23038 0.226498i
\(370\) 1.20188 + 0.473232i 0.0624827 + 0.0246021i
\(371\) 1.99127 11.2930i 0.103382 0.586306i
\(372\) −0.595036 0.274752i −0.0308512 0.0142452i
\(373\) 5.38050 9.31930i 0.278592 0.482535i −0.692443 0.721472i \(-0.743466\pi\)
0.971035 + 0.238937i \(0.0767990\pi\)
\(374\) 19.1772 + 16.0916i 0.991629 + 0.832075i
\(375\) 6.38755 18.2811i 0.329852 0.944033i
\(376\) 3.01630 + 8.28721i 0.155554 + 0.427380i
\(377\) −1.97425 + 1.65659i −0.101679 + 0.0853190i
\(378\) 6.30763 + 13.1379i 0.324429 + 0.675743i
\(379\) 30.9213i 1.58832i 0.607708 + 0.794161i \(0.292089\pi\)
−0.607708 + 0.794161i \(0.707911\pi\)
\(380\) 5.05043 8.33626i 0.259081 0.427641i
\(381\) 12.4555 + 17.6467i 0.638114 + 0.904070i
\(382\) −3.95462 22.4277i −0.202336 1.14750i
\(383\) −5.21084 6.21003i −0.266261 0.317318i 0.616303 0.787509i \(-0.288629\pi\)
−0.882565 + 0.470191i \(0.844185\pi\)
\(384\) −0.988124 + 1.42254i −0.0504250 + 0.0725935i
\(385\) −31.3773 19.2218i −1.59913 0.979632i
\(386\) 13.5031 16.0924i 0.687291 0.819082i
\(387\) 0.608867 0.518749i 0.0309504 0.0263695i
\(388\) 6.31180 + 10.9324i 0.320433 + 0.555006i
\(389\) −1.30120 0.229437i −0.0659736 0.0116329i 0.140564 0.990072i \(-0.455108\pi\)
−0.206538 + 0.978439i \(0.566220\pi\)
\(390\) −2.93631 12.0237i −0.148686 0.608843i
\(391\) −17.8086 30.8454i −0.900619 1.55992i
\(392\) −0.750284 0.433177i −0.0378951 0.0218787i
\(393\) −10.4535 0.874989i −0.527311 0.0441374i
\(394\) 2.33959 6.42796i 0.117867 0.323836i
\(395\) −0.0771655 0.515816i −0.00388262 0.0259535i
\(396\) −16.4947 + 6.14437i −0.828889 + 0.308766i
\(397\) −0.339352 + 0.0598368i −0.0170316 + 0.00300312i −0.182157 0.983269i \(-0.558308\pi\)
0.165126 + 0.986272i \(0.447197\pi\)
\(398\) 7.48597i 0.375238i
\(399\) 19.1126 9.11541i 0.956827 0.456341i
\(400\) 4.60309 + 1.95232i 0.230154 + 0.0976162i
\(401\) 4.53340 + 25.7102i 0.226387 + 1.28391i 0.860016 + 0.510268i \(0.170454\pi\)
−0.633628 + 0.773638i \(0.718435\pi\)
\(402\) −0.139309 + 0.527837i −0.00694811 + 0.0263261i
\(403\) 0.413592 + 1.13633i 0.0206025 + 0.0566048i
\(404\) −3.28038 + 9.01277i −0.163205 + 0.448402i
\(405\) 0.221398 20.1234i 0.0110014 0.999939i
\(406\) 1.13093 1.95882i 0.0561270 0.0972148i
\(407\) −2.93523 + 1.69466i −0.145494 + 0.0840011i
\(408\) −3.14836 6.68595i −0.155867 0.331004i
\(409\) 9.60037 + 1.69280i 0.474708 + 0.0837038i 0.405883 0.913925i \(-0.366964\pi\)
0.0688245 + 0.997629i \(0.478075\pi\)
\(410\) 16.9859 5.68612i 0.838872 0.280818i
\(411\) 33.1312 3.02412i 1.63424 0.149169i
\(412\) −6.82024 5.72286i −0.336009 0.281945i
\(413\) −10.9195 + 30.0010i −0.537313 + 1.47625i
\(414\) 25.0424 0.188243i 1.23077 0.00925165i
\(415\) 7.14723 3.88197i 0.350844 0.190558i
\(416\) 3.14718 0.554934i 0.154303 0.0272079i
\(417\) 1.61330 + 2.28570i 0.0790035 + 0.111931i
\(418\) 8.86561 + 23.9892i 0.433631 + 1.17335i
\(419\) 18.9014i 0.923392i −0.887038 0.461696i \(-0.847241\pi\)
0.887038 0.461696i \(-0.152759\pi\)
\(420\) 6.03076 + 9.03467i 0.294271 + 0.440847i
\(421\) −21.2072 25.2737i −1.03358 1.23177i −0.972322 0.233645i \(-0.924935\pi\)
−0.0612531 0.998122i \(-0.519510\pi\)
\(422\) 9.47868 3.44996i 0.461415 0.167941i
\(423\) 16.8535 20.3947i 0.819447 0.991622i
\(424\) −3.13204 2.62809i −0.152105 0.127631i
\(425\) −17.0340 + 12.8437i −0.826269 + 0.623013i
\(426\) 19.7303 + 9.11025i 0.955934 + 0.441393i
\(427\) 16.3464 + 2.88232i 0.791060 + 0.139485i
\(428\) 2.75716 + 0.486162i 0.133273 + 0.0234995i
\(429\) 29.4852 + 13.6145i 1.42356 + 0.657313i
\(430\) 0.394990 0.446585i 0.0190481 0.0215362i
\(431\) −1.20151 1.00818i −0.0578746 0.0485626i 0.613392 0.789779i \(-0.289805\pi\)
−0.671266 + 0.741216i \(0.734249\pi\)
\(432\) 5.18116 + 0.394482i 0.249279 + 0.0189795i
\(433\) −35.7640 + 13.0170i −1.71871 + 0.625558i −0.997726 0.0673985i \(-0.978530\pi\)
−0.720980 + 0.692956i \(0.756308\pi\)
\(434\) −0.682187 0.812999i −0.0327460 0.0390252i
\(435\) −2.59779 + 1.73406i −0.124554 + 0.0831417i
\(436\) 12.9581i 0.620579i
\(437\) −0.179482 36.3864i −0.00858579 1.74060i
\(438\) 1.44528 + 2.04765i 0.0690581 + 0.0978404i
\(439\) 24.2706 4.27957i 1.15837 0.204253i 0.438745 0.898612i \(-0.355423\pi\)
0.719629 + 0.694359i \(0.244312\pi\)
\(440\) −11.5289 + 6.26185i −0.549619 + 0.298522i
\(441\) 0.0195365 + 2.59899i 0.000930310 + 0.123761i
\(442\) −4.66352 + 12.8129i −0.221821 + 0.609449i
\(443\) −20.8019 17.4549i −0.988330 0.829307i −0.00300464 0.999995i \(-0.500956\pi\)
−0.985325 + 0.170688i \(0.945401\pi\)
\(444\) 0.996396 0.0909481i 0.0472869 0.00431621i
\(445\) 10.4959 + 31.3538i 0.497553 + 1.48631i
\(446\) −19.9750 3.52212i −0.945842 0.166777i
\(447\) 13.9295 + 29.5812i 0.658844 + 1.39914i
\(448\) −2.42894 + 1.40235i −0.114757 + 0.0662549i
\(449\) −4.16071 + 7.20657i −0.196356 + 0.340099i −0.947344 0.320217i \(-0.896244\pi\)
0.750988 + 0.660316i \(0.229578\pi\)
\(450\) −1.94420 14.8735i −0.0916506 0.701142i
\(451\) −16.0753 + 44.1664i −0.756954 + 2.07971i
\(452\) −3.18355 8.74672i −0.149741 0.411411i
\(453\) 0.907212 3.43739i 0.0426245 0.161502i
\(454\) −4.71705 26.7517i −0.221382 1.25552i
\(455\) 3.99290 19.6403i 0.187190 0.920751i
\(456\) 0.592621 7.52654i 0.0277520 0.352463i
\(457\) 20.3458i 0.951736i −0.879517 0.475868i \(-0.842134\pi\)
0.879517 0.475868i \(-0.157866\pi\)
\(458\) 0.840514 0.148205i 0.0392746 0.00692518i
\(459\) −12.5109 + 18.3032i −0.583957 + 0.854318i
\(460\) 18.4606 2.76169i 0.860731 0.128764i
\(461\) −3.68782 + 10.1322i −0.171759 + 0.471904i −0.995467 0.0951107i \(-0.969680\pi\)
0.823708 + 0.567015i \(0.191902\pi\)
\(462\) −28.4034 2.37744i −1.32145 0.110609i
\(463\) −32.5056 18.7671i −1.51066 0.872181i −0.999923 0.0124456i \(-0.996038\pi\)
−0.510740 0.859736i \(-0.670628\pi\)
\(464\) −0.403226 0.698407i −0.0187193 0.0324227i
\(465\) 0.347681 + 1.42369i 0.0161233 + 0.0660221i
\(466\) 10.6379 + 1.87576i 0.492793 + 0.0868928i
\(467\) 12.8925 + 22.3305i 0.596594 + 1.03333i 0.993320 + 0.115394i \(0.0368132\pi\)
−0.396725 + 0.917937i \(0.629853\pi\)
\(468\) −6.21757 7.29770i −0.287407 0.337336i
\(469\) −0.568218 + 0.677176i −0.0262379 + 0.0312691i
\(470\) 10.3013 16.8156i 0.475161 0.775645i
\(471\) −2.90516 + 4.18237i −0.133863 + 0.192713i
\(472\) 7.31697 + 8.72002i 0.336791 + 0.401372i
\(473\) 0.271654 + 1.54063i 0.0124907 + 0.0708381i
\(474\) −0.232964 0.330060i −0.0107004 0.0151602i
\(475\) −21.6179 + 2.76901i −0.991896 + 0.127051i
\(476\) 11.9668i 0.548498i
\(477\) −2.03907 + 12.0951i −0.0933625 + 0.553796i
\(478\) 15.8201 13.2747i 0.723596 0.607169i
\(479\) 1.44121 + 3.95968i 0.0658504 + 0.180922i 0.968253 0.249970i \(-0.0804209\pi\)
−0.902403 + 0.430893i \(0.858199\pi\)
\(480\) 3.86481 0.251527i 0.176404 0.0114806i
\(481\) −1.41416 1.18662i −0.0644800 0.0541052i
\(482\) −0.717747 + 1.24317i −0.0326925 + 0.0566250i
\(483\) 36.8170 + 16.9999i 1.67523 + 0.773521i
\(484\) 4.06776 23.0694i 0.184898 1.04861i
\(485\) 10.3415 26.2646i 0.469584 1.19261i
\(486\) −6.85228 14.0017i −0.310826 0.635128i
\(487\) 14.5391 25.1824i 0.658827 1.14112i −0.322092 0.946708i \(-0.604386\pi\)
0.980920 0.194414i \(-0.0622806\pi\)
\(488\) 3.80410 4.53355i 0.172204 0.205224i
\(489\) −23.7026 + 6.44666i −1.07187 + 0.291528i
\(490\) 0.286617 + 1.91590i 0.0129480 + 0.0865517i
\(491\) −25.0503 29.8538i −1.13050 1.34728i −0.929987 0.367593i \(-0.880182\pi\)
−0.200518 0.979690i \(-0.564262\pi\)
\(492\) 9.77405 9.84779i 0.440648 0.443973i
\(493\) 3.44088 0.154970
\(494\) −10.6266 + 9.00648i −0.478114 + 0.405221i
\(495\) 33.7157 + 20.3074i 1.51541 + 0.912748i
\(496\) −0.372650 + 0.0657082i −0.0167325 + 0.00295038i
\(497\) 22.6200 + 26.9575i 1.01465 + 1.20921i
\(498\) 3.59418 5.17430i 0.161059 0.231866i
\(499\) −11.7882 4.29054i −0.527711 0.192071i 0.0644052 0.997924i \(-0.479485\pi\)
−0.592116 + 0.805853i \(0.701707\pi\)
\(500\) −2.99249 10.7724i −0.133828 0.481757i
\(501\) 1.49351 + 16.3624i 0.0667252 + 0.731018i
\(502\) 13.5416 + 23.4547i 0.604390 + 1.04683i
\(503\) 4.61087 26.1495i 0.205588 1.16595i −0.690923 0.722929i \(-0.742795\pi\)
0.896511 0.443021i \(-0.146093\pi\)
\(504\) 7.31825 + 4.15216i 0.325981 + 0.184952i
\(505\) 20.3373 6.80803i 0.904997 0.302953i
\(506\) −24.4893 + 42.4167i −1.08868 + 1.88565i
\(507\) 0.402684 4.81088i 0.0178838 0.213659i
\(508\) 11.7185 + 4.26519i 0.519925 + 0.189237i
\(509\) −1.93283 + 0.703491i −0.0856710 + 0.0311817i −0.384500 0.923125i \(-0.625626\pi\)
0.298829 + 0.954307i \(0.403404\pi\)
\(510\) −7.31557 + 14.8173i −0.323939 + 0.656122i
\(511\) 0.704749 + 3.99683i 0.0311763 + 0.176809i
\(512\) 1.00000i 0.0441942i
\(513\) −20.3696 + 9.90353i −0.899339 + 0.437251i
\(514\) −24.2779 −1.07085
\(515\) −0.518255 + 19.9014i −0.0228370 + 0.876960i
\(516\) 0.117849 0.446525i 0.00518802 0.0196572i
\(517\) 17.6976 + 48.6236i 0.778338 + 2.13847i
\(518\) 1.52246 + 0.554130i 0.0668930 + 0.0243471i
\(519\) −2.58329 0.216229i −0.113394 0.00949138i
\(520\) −5.35263 4.73423i −0.234728 0.207610i
\(521\) −1.30575 2.26163i −0.0572061 0.0990838i 0.836004 0.548723i \(-0.184886\pi\)
−0.893210 + 0.449639i \(0.851553\pi\)
\(522\) −1.19389 + 2.10426i −0.0522553 + 0.0921008i
\(523\) −1.55123 + 8.79748i −0.0678307 + 0.384687i 0.931926 + 0.362647i \(0.118127\pi\)
−0.999757 + 0.0220395i \(0.992984\pi\)
\(524\) −5.24504 + 3.02823i −0.229131 + 0.132289i
\(525\) 7.41228 23.1308i 0.323498 1.00951i
\(526\) 14.7126 17.5337i 0.641498 0.764508i
\(527\) 0.552195 1.51714i 0.0240540 0.0660879i
\(528\) −5.79763 + 8.34646i −0.252309 + 0.363233i
\(529\) 35.7623 30.0081i 1.55488 1.30470i
\(530\) −0.237996 + 9.13925i −0.0103379 + 0.396984i
\(531\) 11.4383 32.1770i 0.496380 1.39636i
\(532\) 6.06041 10.6175i 0.262752 0.460329i
\(533\) −25.5999 −1.10885
\(534\) 18.1778 + 18.0417i 0.786631 + 0.780740i
\(535\) −2.98796 5.50124i −0.129181 0.237839i
\(536\) 0.107798 + 0.296174i 0.00465619 + 0.0127928i
\(537\) 5.47259 + 20.1212i 0.236160 + 0.868293i
\(538\) 7.98064 9.51096i 0.344070 0.410046i
\(539\) −4.40215 2.54158i −0.189614 0.109474i
\(540\) −6.52315 9.61501i −0.280712 0.413764i
\(541\) −7.17164 + 40.6724i −0.308333 + 1.74864i 0.299054 + 0.954236i \(0.403329\pi\)
−0.607387 + 0.794406i \(0.707782\pi\)
\(542\) 26.1084 + 4.60361i 1.12145 + 0.197742i
\(543\) 20.4786 + 9.45580i 0.878822 + 0.405787i
\(544\) −3.69507 2.13335i −0.158425 0.0914666i
\(545\) 22.6736 18.0407i 0.971229 0.772780i
\(546\) −4.07437 14.9803i −0.174367 0.641099i
\(547\) 29.6537 10.7931i 1.26790 0.461478i 0.381487 0.924374i \(-0.375412\pi\)
0.886412 + 0.462896i \(0.153190\pi\)
\(548\) 14.7140 12.3465i 0.628552 0.527418i
\(549\) −17.5074 2.95151i −0.747196 0.125967i
\(550\) 27.0078 + 11.4549i 1.15161 + 0.488438i
\(551\) 3.05292 + 1.74258i 0.130059 + 0.0742365i
\(552\) 11.8126 8.33761i 0.502777 0.354872i
\(553\) −0.113598 0.644249i −0.00483070 0.0273963i
\(554\) −0.461421 + 0.387179i −0.0196039 + 0.0164496i
\(555\) −1.54636 1.61684i −0.0656392 0.0686309i
\(556\) 1.51784 + 0.552449i 0.0643708 + 0.0234291i
\(557\) −3.04384 2.55408i −0.128971 0.108220i 0.576020 0.817435i \(-0.304605\pi\)
−0.704992 + 0.709215i \(0.749049\pi\)
\(558\) 0.736205 + 0.864100i 0.0311661 + 0.0365803i
\(559\) −0.737919 + 0.426038i −0.0312106 + 0.0180195i
\(560\) 5.83545 + 2.29767i 0.246593 + 0.0970943i
\(561\) −18.4724 39.2286i −0.779905 1.65623i
\(562\) −8.00648 + 4.62254i −0.337733 + 0.194990i
\(563\) −29.3130 16.9238i −1.23539 0.713255i −0.267245 0.963629i \(-0.586113\pi\)
−0.968149 + 0.250374i \(0.919447\pi\)
\(564\) 1.27411 15.2218i 0.0536497 0.640955i
\(565\) −10.8724 + 17.7480i −0.457407 + 0.746663i
\(566\) 5.17629 1.88401i 0.217576 0.0791911i
\(567\) −0.379470 25.2395i −0.0159362 1.05996i
\(568\) 12.3564 2.17876i 0.518461 0.0914187i
\(569\) −0.590427 −0.0247520 −0.0123760 0.999923i \(-0.503940\pi\)
−0.0123760 + 0.999923i \(0.503940\pi\)
\(570\) −13.9947 + 9.44179i −0.586175 + 0.395473i
\(571\) 34.7096 1.45255 0.726275 0.687404i \(-0.241250\pi\)
0.726275 + 0.687404i \(0.241250\pi\)
\(572\) 18.4655 3.25597i 0.772082 0.136139i
\(573\) −10.0659 + 38.1393i −0.420510 + 1.59329i
\(574\) 21.1125 7.68432i 0.881219 0.320737i
\(575\) −30.5339 28.4568i −1.27335 1.18673i
\(576\) 2.58673 1.51949i 0.107780 0.0633119i
\(577\) 24.0060 + 13.8599i 0.999383 + 0.576994i 0.908066 0.418828i \(-0.137559\pi\)
0.0913174 + 0.995822i \(0.470892\pi\)
\(578\) 1.04331 0.602354i 0.0433959 0.0250546i
\(579\) −32.9184 + 15.5010i −1.36804 + 0.644199i
\(580\) −0.660661 + 1.67790i −0.0274325 + 0.0696710i
\(581\) 8.83499 5.10088i 0.366537 0.211620i
\(582\) −1.98748 21.7742i −0.0823839 0.902569i
\(583\) −18.3766 15.4198i −0.761082 0.638624i
\(584\) 1.35976 + 0.494914i 0.0562674 + 0.0204797i
\(585\) −4.11291 + 21.0394i −0.170048 + 0.869872i
\(586\) −9.59219 + 8.04880i −0.396250 + 0.332493i
\(587\) 5.05176 + 28.6499i 0.208508 + 1.18251i 0.891823 + 0.452385i \(0.149427\pi\)
−0.683315 + 0.730124i \(0.739462\pi\)
\(588\) 0.865304 + 1.22595i 0.0356845 + 0.0505573i
\(589\) 1.25827 1.06643i 0.0518461 0.0439416i
\(590\) 5.07102 24.9433i 0.208770 1.02690i
\(591\) −8.34631 + 8.40928i −0.343321 + 0.345912i
\(592\) 0.442514 0.371313i 0.0181872 0.0152609i
\(593\) 38.9574 14.1793i 1.59979 0.582276i 0.620405 0.784282i \(-0.286968\pi\)
0.979384 + 0.202006i \(0.0647460\pi\)
\(594\) 30.3994 + 2.31455i 1.24730 + 0.0949671i
\(595\) −20.9391 + 16.6607i −0.858419 + 0.683020i
\(596\) 16.3484 + 9.43874i 0.669655 + 0.386626i
\(597\) 5.43550 11.7718i 0.222460 0.481787i
\(598\) −26.2718 4.63243i −1.07433 0.189434i
\(599\) −4.28225 + 24.2858i −0.174968 + 0.992293i 0.763213 + 0.646147i \(0.223621\pi\)
−0.938181 + 0.346146i \(0.887490\pi\)
\(600\) −5.82084 6.41231i −0.237635 0.261782i
\(601\) −4.73014 2.73095i −0.192946 0.111398i 0.400415 0.916334i \(-0.368866\pi\)
−0.593361 + 0.804936i \(0.702199\pi\)
\(602\) 0.480686 0.572859i 0.0195913 0.0233480i
\(603\) 0.602323 0.728878i 0.0245285 0.0296822i
\(604\) −0.702007 1.92875i −0.0285643 0.0784797i
\(605\) −46.0294 + 25.0005i −1.87136 + 1.01642i
\(606\) 11.7025 11.7908i 0.475383 0.478969i
\(607\) −17.1854 −0.697535 −0.348767 0.937209i \(-0.613400\pi\)
−0.348767 + 0.937209i \(0.613400\pi\)
\(608\) −2.19804 3.76412i −0.0891424 0.152655i
\(609\) −3.20068 + 2.25912i −0.129698 + 0.0915440i
\(610\) −13.2289 0.344495i −0.535621 0.0139482i
\(611\) −21.5897 + 18.1159i −0.873427 + 0.732892i
\(612\) 0.0962152 + 12.7997i 0.00388927 + 0.517398i
\(613\) −10.1908 + 27.9989i −0.411602 + 1.13087i 0.544737 + 0.838607i \(0.316629\pi\)
−0.956339 + 0.292260i \(0.905593\pi\)
\(614\) 10.0068 11.9257i 0.403843 0.481282i
\(615\) −30.8391 3.39180i −1.24355 0.136770i
\(616\) −14.2514 + 8.22803i −0.574204 + 0.331517i
\(617\) 7.35764 41.7272i 0.296207 1.67987i −0.366048 0.930596i \(-0.619289\pi\)
0.662255 0.749279i \(-0.269600\pi\)
\(618\) 6.56958 + 13.9514i 0.264267 + 0.561207i
\(619\) −9.94278 17.2214i −0.399634 0.692187i 0.594046 0.804431i \(-0.297530\pi\)
−0.993681 + 0.112244i \(0.964196\pi\)
\(620\) 0.633791 + 0.560567i 0.0254537 + 0.0225129i
\(621\) −39.5162 17.8871i −1.58573 0.717784i
\(622\) −21.8990 7.97059i −0.878070 0.319591i
\(623\) 14.1843 + 38.9711i 0.568282 + 1.56134i
\(624\) −5.35192 1.41250i −0.214248 0.0565454i
\(625\) −14.6829 + 20.2339i −0.587317 + 0.809357i
\(626\) −1.41632 −0.0566077
\(627\) 3.47709 44.1605i 0.138862 1.76360i
\(628\) 2.94008i 0.117322i
\(629\) 0.427991 + 2.42726i 0.0170651 + 0.0967812i
\(630\) −2.92344 18.5860i −0.116473 0.740484i
\(631\) −15.0088 + 5.46277i −0.597492 + 0.217469i −0.623021 0.782205i \(-0.714095\pi\)
0.0255294 + 0.999674i \(0.491873\pi\)
\(632\) −0.219180 0.0797751i −0.00871852 0.00317328i
\(633\) −17.4103 1.45729i −0.691998 0.0579221i
\(634\) −8.77593 + 15.2004i −0.348537 + 0.603683i
\(635\) −8.85189 26.4428i −0.351277 1.04935i
\(636\) 3.01693 + 6.40685i 0.119629 + 0.254048i
\(637\) 0.480768 2.72657i 0.0190487 0.108031i
\(638\) −2.36585 4.09777i −0.0936649 0.162232i
\(639\) −24.4112 28.6519i −0.965691 1.13345i
\(640\) 1.74976 1.39224i 0.0691655 0.0550330i
\(641\) −8.79759 3.20206i −0.347484 0.126474i 0.162381 0.986728i \(-0.448083\pi\)
−0.509865 + 0.860254i \(0.670305\pi\)
\(642\) −3.98267 2.76645i −0.157184 0.109183i
\(643\) 6.26523 + 7.46661i 0.247076 + 0.294454i 0.875302 0.483577i \(-0.160663\pi\)
−0.628225 + 0.778032i \(0.716218\pi\)
\(644\) 23.0572 4.06560i 0.908579 0.160207i
\(645\) −0.945387 + 0.415461i −0.0372246 + 0.0163588i
\(646\) 18.5979 0.0917371i 0.731724 0.00360935i
\(647\) 11.8796 0.467034 0.233517 0.972353i \(-0.424976\pi\)
0.233517 + 0.972353i \(0.424976\pi\)
\(648\) −7.86100 4.38232i −0.308809 0.172154i
\(649\) 42.9309 + 51.1631i 1.68519 + 2.00833i
\(650\) −0.831642 + 15.9570i −0.0326197 + 0.625886i
\(651\) 0.482435 + 1.77378i 0.0189081 + 0.0695199i
\(652\) −9.11590 + 10.8639i −0.357006 + 0.425463i
\(653\) −2.15300 + 3.72910i −0.0842532 + 0.145931i −0.905073 0.425257i \(-0.860184\pi\)
0.820820 + 0.571188i \(0.193517\pi\)
\(654\) 9.40874 20.3767i 0.367911 0.796792i
\(655\) 12.6010 + 4.96157i 0.492363 + 0.193865i
\(656\) 1.39103 7.88894i 0.0543107 0.308011i
\(657\) −0.785937 4.26935i −0.0306623 0.166563i
\(658\) 12.3674 21.4210i 0.482132 0.835078i
\(659\) 2.44487 + 2.05149i 0.0952387 + 0.0799147i 0.689164 0.724606i \(-0.257978\pi\)
−0.593925 + 0.804520i \(0.702422\pi\)
\(660\) 22.6760 1.47578i 0.882663 0.0574448i
\(661\) −2.66247 7.31507i −0.103558 0.284523i 0.877083 0.480340i \(-0.159487\pi\)
−0.980641 + 0.195816i \(0.937264\pi\)
\(662\) −1.30789 + 1.09745i −0.0508327 + 0.0426537i
\(663\) 16.6368 16.7623i 0.646120 0.650995i
\(664\) 3.63738i 0.141158i
\(665\) −27.0157 + 4.17786i −1.04762 + 0.162011i
\(666\) −1.63288 0.580457i −0.0632728 0.0224923i
\(667\) 1.16900 + 6.62975i 0.0452640 + 0.256705i
\(668\) 6.09755 + 7.26678i 0.235921 + 0.281160i
\(669\) 28.8535 + 20.0422i 1.11554 + 0.774877i
\(670\) 0.368153 0.600967i 0.0142230 0.0232174i
\(671\) 22.3199 26.5998i 0.861649 1.02687i
\(672\) 4.83778 0.441578i 0.186621 0.0170342i
\(673\) −3.97910 6.89200i −0.153383 0.265667i 0.779086 0.626917i \(-0.215683\pi\)
−0.932469 + 0.361250i \(0.882350\pi\)
\(674\) 26.5332 + 4.67851i 1.02202 + 0.180210i
\(675\) −7.74221 + 24.8004i −0.297998 + 0.954567i
\(676\) −1.39364 2.41385i −0.0536015 0.0928405i
\(677\) 8.19808 + 4.73316i 0.315078 + 0.181910i 0.649196 0.760621i \(-0.275105\pi\)
−0.334119 + 0.942531i \(0.608439\pi\)
\(678\) −1.34476 + 16.0659i −0.0516451 + 0.617006i
\(679\) 12.1094 33.2702i 0.464715 1.27679i
\(680\) 1.41156 + 9.43563i 0.0541308 + 0.361840i
\(681\) −12.0066 + 45.4924i −0.460093 + 1.74327i
\(682\) −2.18645 + 0.385530i −0.0837235 + 0.0147627i
\(683\) 12.9727i 0.496385i −0.968711 0.248193i \(-0.920163\pi\)
0.968711 0.248193i \(-0.0798366\pi\)
\(684\) −6.39686 + 11.4053i −0.244590 + 0.436091i
\(685\) −42.0890 8.55676i −1.60814 0.326937i
\(686\) −2.98728 16.9417i −0.114055 0.646837i
\(687\) −1.42933 0.377235i −0.0545323 0.0143924i
\(688\) −0.0911924 0.250549i −0.00347668 0.00955210i
\(689\) 4.46885 12.2781i 0.170249 0.467757i
\(690\) −31.0348 9.06131i −1.18147 0.344958i
\(691\) 9.46593 16.3955i 0.360101 0.623713i −0.627876 0.778313i \(-0.716076\pi\)
0.987977 + 0.154600i \(0.0494090\pi\)
\(692\) −1.29616 + 0.748340i −0.0492727 + 0.0284476i
\(693\) 42.9384 + 24.3620i 1.63110 + 0.925436i
\(694\) 3.11918 + 0.549995i 0.118402 + 0.0208775i
\(695\) −1.14654 3.42501i −0.0434908 0.129918i
\(696\) 0.126969 + 1.39103i 0.00481276 + 0.0527269i
\(697\) 26.1826 + 21.9698i 0.991737 + 0.832166i
\(698\) −2.62258 + 7.20549i −0.0992662 + 0.272732i
\(699\) −15.3663 10.6738i −0.581208 0.403719i
\(700\) −4.10396 13.4096i −0.155115 0.506834i
\(701\) −36.6308 + 6.45900i −1.38353 + 0.243953i −0.815357 0.578958i \(-0.803459\pi\)
−0.568170 + 0.822911i \(0.692348\pi\)
\(702\) 4.47840 + 15.9902i 0.169026 + 0.603512i
\(703\) −0.849513 + 2.37033i −0.0320400 + 0.0893988i
\(704\) 5.86731i 0.221133i
\(705\) −28.4085 + 18.9630i −1.06993 + 0.714189i
\(706\) 4.77481 + 5.69040i 0.179702 + 0.214161i
\(707\) 25.2781 9.20049i 0.950682 0.346020i
\(708\) −5.17448 19.0251i −0.194469 0.715008i
\(709\) −6.29278 5.28027i −0.236330 0.198305i 0.516929 0.856028i \(-0.327075\pi\)
−0.753259 + 0.657724i \(0.771519\pi\)
\(710\) −21.0153 18.5873i −0.788690 0.697571i
\(711\) 0.126685 + 0.688177i 0.00475106 + 0.0258086i
\(712\) 14.5620 + 2.56767i 0.545734 + 0.0962277i
\(713\) 3.11077 + 0.548513i 0.116499 + 0.0205420i
\(714\) −8.68900 + 18.8180i −0.325178 + 0.704244i
\(715\) −31.4056 27.7772i −1.17450 1.03881i
\(716\) 9.22239 + 7.73850i 0.344657 + 0.289201i
\(717\) −34.5160 + 9.38770i −1.28902 + 0.350590i
\(718\) −20.2795 + 7.38113i −0.756824 + 0.275462i
\(719\) 20.8681 + 24.8696i 0.778249 + 0.927481i 0.998853 0.0478821i \(-0.0152472\pi\)
−0.220604 + 0.975364i \(0.570803\pi\)
\(720\) −6.26008 2.41067i −0.233300 0.0898405i
\(721\) 24.9708i 0.929961i
\(722\) 16.5474 + 9.33721i 0.615830 + 0.347495i
\(723\) 2.03132 1.43375i 0.0755457 0.0533219i
\(724\) 12.8250 2.26140i 0.476639 0.0840442i
\(725\) 3.85572 1.18003i 0.143198 0.0438253i
\(726\) −23.1471 + 33.3234i −0.859070 + 1.23675i
\(727\) −1.29903 + 3.56904i −0.0481782 + 0.132368i −0.961448 0.274987i \(-0.911327\pi\)
0.913270 + 0.407355i \(0.133549\pi\)
\(728\) −6.86612 5.76136i −0.254475 0.213530i
\(729\) 0.608812 + 26.9931i 0.0225486 + 0.999746i
\(730\) −1.02713 3.06830i −0.0380159 0.113563i
\(731\) 1.12034 + 0.197546i 0.0414373 + 0.00730652i
\(732\) −9.27377 + 4.36694i −0.342768 + 0.161407i
\(733\) 11.0282 6.36716i 0.407337 0.235176i −0.282308 0.959324i \(-0.591100\pi\)
0.689645 + 0.724148i \(0.257767\pi\)
\(734\) 3.62458 6.27796i 0.133786 0.231724i
\(735\) 0.940413 3.22089i 0.0346876 0.118804i
\(736\) 2.85509 7.84429i 0.105240 0.289144i
\(737\) 0.632487 + 1.73774i 0.0232980 + 0.0640106i
\(738\) −22.5202 + 8.38891i −0.828980 + 0.308800i
\(739\) 4.53532 + 25.7211i 0.166834 + 0.946164i 0.947153 + 0.320782i \(0.103946\pi\)
−0.780319 + 0.625382i \(0.784943\pi\)
\(740\) −1.26580 0.257338i −0.0465316 0.00945994i
\(741\) 23.2500 6.44690i 0.854110 0.236833i
\(742\) 11.4673i 0.420976i
\(743\) −29.0022 + 5.11387i −1.06399 + 0.187610i −0.678125 0.734947i \(-0.737207\pi\)
−0.385862 + 0.922556i \(0.626096\pi\)
\(744\) 0.633706 + 0.167251i 0.0232328 + 0.00613171i
\(745\) −6.24527 41.7468i −0.228809 1.52948i
\(746\) −3.68048 + 10.1120i −0.134752 + 0.370228i
\(747\) −9.40891 + 5.52695i −0.344254 + 0.202220i
\(748\) −21.6801 12.5170i −0.792703 0.457667i
\(749\) −3.92616 6.80031i −0.143459 0.248478i
\(750\) −3.11603 + 19.1126i −0.113781 + 0.697892i
\(751\) 25.9604 + 4.57753i 0.947310 + 0.167036i 0.625899 0.779904i \(-0.284732\pi\)
0.321410 + 0.946940i \(0.395843\pi\)
\(752\) −4.40953 7.63754i −0.160799 0.278512i
\(753\) −4.26403 46.7152i −0.155390 1.70240i
\(754\) 1.65659 1.97425i 0.0603296 0.0718981i
\(755\) −2.39749 + 3.91362i −0.0872537 + 0.142431i
\(756\) −8.49318 11.8430i −0.308894 0.430727i
\(757\) −5.17672 6.16937i −0.188151 0.224230i 0.663720 0.747981i \(-0.268977\pi\)
−0.851871 + 0.523751i \(0.824532\pi\)
\(758\) −5.36943 30.4516i −0.195026 1.10605i
\(759\) 69.3081 48.9193i 2.51573 1.77566i
\(760\) −3.52612 + 9.08661i −0.127906 + 0.329606i
\(761\) 37.1501i 1.34669i −0.739328 0.673345i \(-0.764857\pi\)
0.739328 0.673345i \(-0.235143\pi\)
\(762\) −15.3306 15.2158i −0.555369 0.551210i
\(763\) 27.8408 23.3612i 1.00790 0.845731i
\(764\) 7.78907 + 21.4003i 0.281799 + 0.774236i
\(765\) 22.2625 17.9886i 0.804904 0.650380i
\(766\) 6.21003 + 5.21084i 0.224378 + 0.188275i
\(767\) −18.1888 + 31.5040i −0.656760 + 1.13754i
\(768\) 0.726091 1.57251i 0.0262006 0.0567431i
\(769\) −2.04832 + 11.6166i −0.0738644 + 0.418906i 0.925344 + 0.379128i \(0.123776\pi\)
−0.999209 + 0.0397776i \(0.987335\pi\)
\(770\) 34.2384 + 13.4811i 1.23387 + 0.485827i
\(771\) 38.1772 + 17.6279i 1.37492 + 0.634855i
\(772\) −10.5036 + 18.1927i −0.378032 + 0.654770i
\(773\) −11.3515 + 13.5282i −0.408284 + 0.486574i −0.930527 0.366222i \(-0.880651\pi\)
0.522243 + 0.852797i \(0.325095\pi\)