Properties

Label 414.2.m.a.25.5
Level $414$
Weight $2$
Character 414.25
Analytic conductor $3.306$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 414 = 2 \cdot 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 414.m (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.30580664368\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.5
Character \(\chi\) \(=\) 414.25
Dual form 414.2.m.a.265.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.888835 - 0.458227i) q^{2} +(-0.301182 + 1.70566i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.115473 - 0.475985i) q^{5} +(0.513879 + 1.65406i) q^{6} +(1.23894 + 3.57969i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-2.81858 - 1.02743i) q^{9} +O(q^{10})\) \(q+(0.888835 - 0.458227i) q^{2} +(-0.301182 + 1.70566i) q^{3} +(0.580057 - 0.814576i) q^{4} +(-0.115473 - 0.475985i) q^{5} +(0.513879 + 1.65406i) q^{6} +(1.23894 + 3.57969i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-2.81858 - 1.02743i) q^{9} +(-0.320745 - 0.370160i) q^{10} +(0.226813 + 4.76139i) q^{11} +(1.21469 + 1.23472i) q^{12} +(0.731258 - 2.11283i) q^{13} +(2.74152 + 2.61404i) q^{14} +(0.846649 - 0.0535993i) q^{15} +(-0.327068 - 0.945001i) q^{16} +(0.843058 - 1.84604i) q^{17} +(-2.97605 + 0.378329i) q^{18} +(3.03905 + 6.65459i) q^{19} +(-0.454707 - 0.182037i) q^{20} +(-6.47889 + 1.03508i) q^{21} +(2.38340 + 4.12816i) q^{22} +(-4.37181 - 1.97161i) q^{23} +(1.64544 + 0.540858i) q^{24} +(4.23095 - 2.18121i) q^{25} +(-0.318187 - 2.21304i) q^{26} +(2.60136 - 4.49810i) q^{27} +(3.63458 + 1.06721i) q^{28} +(0.962636 + 1.35183i) q^{29} +(0.727971 - 0.435598i) q^{30} +(-2.27672 + 0.911461i) q^{31} +(-0.723734 - 0.690079i) q^{32} +(-8.18965 - 1.04718i) q^{33} +(-0.0965644 - 2.02714i) q^{34} +(1.56081 - 1.00307i) q^{35} +(-2.47186 + 1.69998i) q^{36} +(4.11600 - 1.20857i) q^{37} +(5.75052 + 4.52226i) q^{38} +(3.38354 + 1.88363i) q^{39} +(-0.487574 + 0.0465576i) q^{40} +(-0.653905 - 2.69543i) q^{41} +(-5.28437 + 3.88881i) q^{42} +(-2.18286 - 0.873887i) q^{43} +(4.01008 + 2.57712i) q^{44} +(-0.163573 + 1.46024i) q^{45} +(-4.78927 + 0.250841i) q^{46} +(-0.773294 + 1.33938i) q^{47} +(1.71036 - 0.273250i) q^{48} +(-5.77681 + 4.54293i) q^{49} +(2.76113 - 3.87747i) q^{50} +(2.89481 + 1.99397i) q^{51} +(-1.29689 - 1.82123i) q^{52} +(4.02152 - 4.64108i) q^{53} +(0.251031 - 5.19009i) q^{54} +(2.24016 - 0.657771i) q^{55} +(3.71957 - 0.716888i) q^{56} +(-12.2658 + 3.17935i) q^{57} +(1.47507 + 0.760452i) q^{58} +(3.72905 - 10.7744i) q^{59} +(0.447444 - 0.720750i) q^{60} +(-6.23304 - 4.90172i) q^{61} +(-1.60597 + 1.85339i) q^{62} +(0.185831 - 11.3626i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-1.09012 - 0.104093i) q^{65} +(-7.75910 + 2.82194i) q^{66} +(0.483290 - 10.1455i) q^{67} +(-1.01472 - 1.75754i) q^{68} +(4.67962 - 6.86303i) q^{69} +(0.927671 - 1.60677i) q^{70} +(-12.1527 - 7.81006i) q^{71} +(-1.41810 + 2.64367i) q^{72} +(6.05925 + 13.2679i) q^{73} +(3.10465 - 2.96027i) q^{74} +(2.44612 + 7.87352i) q^{75} +(7.18349 + 1.38450i) q^{76} +(-16.7633 + 6.71101i) q^{77} +(3.87054 + 0.123809i) q^{78} +(3.19230 - 0.615266i) q^{79} +(-0.412039 + 0.264801i) q^{80} +(6.88877 + 5.79180i) q^{81} +(-1.81633 - 2.09616i) q^{82} +(1.81612 - 7.48614i) q^{83} +(-2.91497 + 5.87795i) q^{84} +(-0.976037 - 0.188116i) q^{85} +(-2.34065 + 0.223505i) q^{86} +(-2.59570 + 1.23479i) q^{87} +(4.74521 + 0.453112i) q^{88} +(-2.12756 - 14.7975i) q^{89} +(0.523732 + 1.37287i) q^{90} +8.46926 q^{91} +(-4.14193 + 2.41753i) q^{92} +(-0.868939 - 4.15784i) q^{93} +(-0.0735896 + 1.54484i) q^{94} +(2.81656 - 2.21497i) q^{95} +(1.39502 - 1.02661i) q^{96} +(8.38035 - 7.99065i) q^{97} +(-3.05294 + 6.68500i) q^{98} +(4.25272 - 13.6534i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9} + 2 q^{11} + 11 q^{12} + 4 q^{13} + 2 q^{14} + 6 q^{15} + 12 q^{16} - 8 q^{17} - 18 q^{18} + 12 q^{19} - 29 q^{21} + 20 q^{22} + 10 q^{25} + 8 q^{26} - 18 q^{27} + 4 q^{28} - 8 q^{29} - 18 q^{30} - 12 q^{32} + 50 q^{33} - 4 q^{34} - 12 q^{35} - 4 q^{36} + 92 q^{37} + 6 q^{38} + 44 q^{39} + 2 q^{41} + 42 q^{42} - 14 q^{43} - 4 q^{44} - 2 q^{45} - 44 q^{46} + 10 q^{47} - 22 q^{48} + 43 q^{49} - 43 q^{50} - 90 q^{51} - 18 q^{52} + 16 q^{53} - 29 q^{54} - 8 q^{55} + 13 q^{56} + 7 q^{57} + 8 q^{58} - 84 q^{59} + 9 q^{60} - 53 q^{61} - 66 q^{62} + 11 q^{63} - 24 q^{64} + 79 q^{65} - 110 q^{66} + 46 q^{67} - 40 q^{68} - 55 q^{69} - 6 q^{70} - 14 q^{71} - 19 q^{72} + 16 q^{73} + 46 q^{74} - 44 q^{75} - 6 q^{76} - 96 q^{77} + 20 q^{78} + 20 q^{79} - 22 q^{80} - 56 q^{81} + 26 q^{82} + 57 q^{83} + 5 q^{84} - 2 q^{85} - 8 q^{86} - 198 q^{87} - 2 q^{88} + 60 q^{89} - 22 q^{90} - 252 q^{91} - 218 q^{93} - 10 q^{94} + 6 q^{95} - q^{97} + 20 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(235\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.888835 0.458227i 0.628502 0.324015i
\(3\) −0.301182 + 1.70566i −0.173888 + 0.984765i
\(4\) 0.580057 0.814576i 0.290028 0.407288i
\(5\) −0.115473 0.475985i −0.0516410 0.212867i 0.940145 0.340774i \(-0.110689\pi\)
−0.991786 + 0.127907i \(0.959174\pi\)
\(6\) 0.513879 + 1.65406i 0.209790 + 0.675269i
\(7\) 1.23894 + 3.57969i 0.468276 + 1.35299i 0.893970 + 0.448127i \(0.147909\pi\)
−0.425694 + 0.904867i \(0.639970\pi\)
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) −2.81858 1.02743i −0.939526 0.342477i
\(10\) −0.320745 0.370160i −0.101429 0.117055i
\(11\) 0.226813 + 4.76139i 0.0683867 + 1.43561i 0.728808 + 0.684719i \(0.240075\pi\)
−0.660421 + 0.750896i \(0.729622\pi\)
\(12\) 1.21469 + 1.23472i 0.350651 + 0.356432i
\(13\) 0.731258 2.11283i 0.202814 0.585994i −0.797024 0.603947i \(-0.793594\pi\)
0.999839 + 0.0179533i \(0.00571504\pi\)
\(14\) 2.74152 + 2.61404i 0.732703 + 0.698631i
\(15\) 0.846649 0.0535993i 0.218604 0.0138393i
\(16\) −0.327068 0.945001i −0.0817670 0.236250i
\(17\) 0.843058 1.84604i 0.204471 0.447730i −0.779419 0.626503i \(-0.784486\pi\)
0.983890 + 0.178773i \(0.0572128\pi\)
\(18\) −2.97605 + 0.378329i −0.701461 + 0.0891731i
\(19\) 3.03905 + 6.65459i 0.697206 + 1.52667i 0.843327 + 0.537401i \(0.180594\pi\)
−0.146121 + 0.989267i \(0.546679\pi\)
\(20\) −0.454707 0.182037i −0.101676 0.0407047i
\(21\) −6.47889 + 1.03508i −1.41381 + 0.225873i
\(22\) 2.38340 + 4.12816i 0.508142 + 0.880127i
\(23\) −4.37181 1.97161i −0.911586 0.411110i
\(24\) 1.64544 + 0.540858i 0.335874 + 0.110402i
\(25\) 4.23095 2.18121i 0.846190 0.436241i
\(26\) −0.318187 2.21304i −0.0624016 0.434013i
\(27\) 2.60136 4.49810i 0.500632 0.865660i
\(28\) 3.63458 + 1.06721i 0.686872 + 0.201684i
\(29\) 0.962636 + 1.35183i 0.178757 + 0.251029i 0.894226 0.447615i \(-0.147726\pi\)
−0.715469 + 0.698644i \(0.753787\pi\)
\(30\) 0.727971 0.435598i 0.132909 0.0795289i
\(31\) −2.27672 + 0.911461i −0.408911 + 0.163703i −0.566993 0.823723i \(-0.691893\pi\)
0.158082 + 0.987426i \(0.449469\pi\)
\(32\) −0.723734 0.690079i −0.127939 0.121990i
\(33\) −8.18965 1.04718i −1.42563 0.182291i
\(34\) −0.0965644 2.02714i −0.0165607 0.347651i
\(35\) 1.56081 1.00307i 0.263826 0.169550i
\(36\) −2.47186 + 1.69998i −0.411976 + 0.283330i
\(37\) 4.11600 1.20857i 0.676665 0.198687i 0.0746964 0.997206i \(-0.476201\pi\)
0.601969 + 0.798519i \(0.294383\pi\)
\(38\) 5.75052 + 4.52226i 0.932858 + 0.733608i
\(39\) 3.38354 + 1.88363i 0.541799 + 0.301622i
\(40\) −0.487574 + 0.0465576i −0.0770922 + 0.00736141i
\(41\) −0.653905 2.69543i −0.102123 0.420956i 0.897683 0.440641i \(-0.145249\pi\)
−0.999806 + 0.0196852i \(0.993734\pi\)
\(42\) −5.28437 + 3.88881i −0.815395 + 0.600057i
\(43\) −2.18286 0.873887i −0.332884 0.133267i 0.199199 0.979959i \(-0.436166\pi\)
−0.532082 + 0.846693i \(0.678590\pi\)
\(44\) 4.01008 + 2.57712i 0.604542 + 0.388516i
\(45\) −0.163573 + 1.46024i −0.0243841 + 0.217680i
\(46\) −4.78927 + 0.250841i −0.706139 + 0.0369846i
\(47\) −0.773294 + 1.33938i −0.112797 + 0.195369i −0.916897 0.399124i \(-0.869314\pi\)
0.804100 + 0.594494i \(0.202647\pi\)
\(48\) 1.71036 0.273250i 0.246869 0.0394403i
\(49\) −5.77681 + 4.54293i −0.825258 + 0.648990i
\(50\) 2.76113 3.87747i 0.390483 0.548357i
\(51\) 2.89481 + 1.99397i 0.405354 + 0.279211i
\(52\) −1.29689 1.82123i −0.179846 0.252559i
\(53\) 4.02152 4.64108i 0.552399 0.637502i −0.409042 0.912516i \(-0.634137\pi\)
0.961440 + 0.275014i \(0.0886824\pi\)
\(54\) 0.251031 5.19009i 0.0341610 0.706281i
\(55\) 2.24016 0.657771i 0.302063 0.0886938i
\(56\) 3.71957 0.716888i 0.497048 0.0957982i
\(57\) −12.2658 + 3.17935i −1.62464 + 0.421115i
\(58\) 1.47507 + 0.760452i 0.193686 + 0.0998523i
\(59\) 3.72905 10.7744i 0.485482 1.40271i −0.390607 0.920557i \(-0.627735\pi\)
0.876089 0.482150i \(-0.160144\pi\)
\(60\) 0.447444 0.720750i 0.0577647 0.0930485i
\(61\) −6.23304 4.90172i −0.798059 0.627601i 0.133558 0.991041i \(-0.457360\pi\)
−0.931617 + 0.363440i \(0.881602\pi\)
\(62\) −1.60597 + 1.85339i −0.203959 + 0.235381i
\(63\) 0.185831 11.3626i 0.0234125 1.43155i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −1.09012 0.104093i −0.135212 0.0129112i
\(66\) −7.75910 + 2.82194i −0.955079 + 0.347357i
\(67\) 0.483290 10.1455i 0.0590432 1.23947i −0.753846 0.657051i \(-0.771803\pi\)
0.812889 0.582418i \(-0.197893\pi\)
\(68\) −1.01472 1.75754i −0.123053 0.213133i
\(69\) 4.67962 6.86303i 0.563360 0.826211i
\(70\) 0.927671 1.60677i 0.110878 0.192046i
\(71\) −12.1527 7.81006i −1.44226 0.926883i −0.999543 0.0302212i \(-0.990379\pi\)
−0.442715 0.896662i \(-0.645985\pi\)
\(72\) −1.41810 + 2.64367i −0.167125 + 0.311560i
\(73\) 6.05925 + 13.2679i 0.709181 + 1.55289i 0.828472 + 0.560031i \(0.189211\pi\)
−0.119291 + 0.992859i \(0.538062\pi\)
\(74\) 3.10465 2.96027i 0.360908 0.344125i
\(75\) 2.44612 + 7.87352i 0.282453 + 0.909156i
\(76\) 7.18349 + 1.38450i 0.824003 + 0.158814i
\(77\) −16.7633 + 6.71101i −1.91035 + 0.764790i
\(78\) 3.87054 + 0.123809i 0.438252 + 0.0140186i
\(79\) 3.19230 0.615266i 0.359162 0.0692228i −0.00647829 0.999979i \(-0.502062\pi\)
0.365640 + 0.930756i \(0.380850\pi\)
\(80\) −0.412039 + 0.264801i −0.0460673 + 0.0296057i
\(81\) 6.88877 + 5.79180i 0.765419 + 0.643533i
\(82\) −1.81633 2.09616i −0.200580 0.231482i
\(83\) 1.81612 7.48614i 0.199345 0.821711i −0.781018 0.624509i \(-0.785299\pi\)
0.980363 0.197202i \(-0.0631856\pi\)
\(84\) −2.91497 + 5.87795i −0.318050 + 0.641337i
\(85\) −0.976037 0.188116i −0.105866 0.0204040i
\(86\) −2.34065 + 0.223505i −0.252398 + 0.0241011i
\(87\) −2.59570 + 1.23479i −0.278289 + 0.132383i
\(88\) 4.74521 + 0.453112i 0.505841 + 0.0483020i
\(89\) −2.12756 14.7975i −0.225521 1.56853i −0.716641 0.697442i \(-0.754321\pi\)
0.491120 0.871092i \(-0.336588\pi\)
\(90\) 0.523732 + 1.37287i 0.0552062 + 0.144713i
\(91\) 8.46926 0.887819
\(92\) −4.14193 + 2.41753i −0.431826 + 0.252045i
\(93\) −0.868939 4.15784i −0.0901047 0.431148i
\(94\) −0.0735896 + 1.54484i −0.00759019 + 0.159338i
\(95\) 2.81656 2.21497i 0.288973 0.227251i
\(96\) 1.39502 1.02661i 0.142379 0.104778i
\(97\) 8.38035 7.99065i 0.850896 0.811328i −0.132805 0.991142i \(-0.542398\pi\)
0.983700 + 0.179815i \(0.0575498\pi\)
\(98\) −3.05294 + 6.68500i −0.308393 + 0.675287i
\(99\) 4.25272 13.6534i 0.427414 1.37222i
\(100\) 0.677433 4.71165i 0.0677433 0.471165i
\(101\) 2.49030 10.2652i 0.247794 1.02142i −0.702899 0.711290i \(-0.748111\pi\)
0.950693 0.310132i \(-0.100373\pi\)
\(102\) 3.48670 + 0.445831i 0.345234 + 0.0441439i
\(103\) 10.9561 + 5.64828i 1.07954 + 0.556542i 0.903826 0.427899i \(-0.140746\pi\)
0.175714 + 0.984441i \(0.443777\pi\)
\(104\) −1.98726 1.02450i −0.194866 0.100461i
\(105\) 1.24082 + 2.96433i 0.121091 + 0.289289i
\(106\) 1.44780 5.96793i 0.140623 0.579657i
\(107\) −1.59912 + 11.1221i −0.154592 + 1.07521i 0.753803 + 0.657101i \(0.228217\pi\)
−0.908395 + 0.418113i \(0.862692\pi\)
\(108\) −2.15511 4.72816i −0.207375 0.454967i
\(109\) −5.36700 + 11.7521i −0.514065 + 1.12565i 0.457573 + 0.889172i \(0.348719\pi\)
−0.971638 + 0.236474i \(0.924008\pi\)
\(110\) 1.68973 1.61115i 0.161109 0.153617i
\(111\) 0.821741 + 7.38450i 0.0779962 + 0.700906i
\(112\) 2.97759 2.34160i 0.281356 0.221261i
\(113\) −0.418285 + 8.78087i −0.0393489 + 0.826035i 0.889805 + 0.456341i \(0.150840\pi\)
−0.929154 + 0.369694i \(0.879463\pi\)
\(114\) −9.44541 + 8.44643i −0.884644 + 0.791081i
\(115\) −0.433633 + 2.30858i −0.0404365 + 0.215277i
\(116\) 1.65956 0.154086
\(117\) −4.23190 + 5.20386i −0.391239 + 0.481097i
\(118\) −1.62260 11.2854i −0.149372 1.03891i
\(119\) 7.65274 + 0.730748i 0.701525 + 0.0669875i
\(120\) 0.0674370 0.845659i 0.00615612 0.0771978i
\(121\) −11.6692 + 1.11428i −1.06084 + 0.101298i
\(122\) −7.78625 1.50068i −0.704934 0.135865i
\(123\) 4.79445 0.303525i 0.432301 0.0273679i
\(124\) −0.578173 + 2.38326i −0.0519215 + 0.214023i
\(125\) −3.13051 3.61280i −0.280001 0.323138i
\(126\) −5.04145 10.1846i −0.449128 0.907316i
\(127\) −10.9404 + 7.03096i −0.970802 + 0.623896i −0.926967 0.375142i \(-0.877594\pi\)
−0.0438346 + 0.999039i \(0.513957\pi\)
\(128\) −0.981929 + 0.189251i −0.0867911 + 0.0167276i
\(129\) 2.14800 3.46003i 0.189121 0.304639i
\(130\) −1.01663 + 0.406998i −0.0891645 + 0.0356961i
\(131\) −12.2879 2.36830i −1.07360 0.206919i −0.378331 0.925670i \(-0.623502\pi\)
−0.695268 + 0.718751i \(0.744714\pi\)
\(132\) −5.60347 + 6.06367i −0.487720 + 0.527774i
\(133\) −20.0561 + 19.1235i −1.73909 + 1.65822i
\(134\) −4.21937 9.23913i −0.364498 0.798140i
\(135\) −2.44142 0.718800i −0.210124 0.0618645i
\(136\) −1.70727 1.09720i −0.146397 0.0940837i
\(137\) −3.57213 + 6.18711i −0.305188 + 0.528601i −0.977303 0.211846i \(-0.932053\pi\)
0.672115 + 0.740447i \(0.265386\pi\)
\(138\) 1.01459 8.24443i 0.0863678 0.701812i
\(139\) 1.43978 + 2.49377i 0.122121 + 0.211519i 0.920604 0.390498i \(-0.127697\pi\)
−0.798483 + 0.602017i \(0.794364\pi\)
\(140\) 0.0882807 1.85324i 0.00746108 0.156627i
\(141\) −2.05164 1.72238i −0.172779 0.145050i
\(142\) −14.3805 1.37317i −1.20679 0.115234i
\(143\) 10.2259 + 3.00259i 0.855131 + 0.251089i
\(144\) −0.0490575 + 2.99960i −0.00408812 + 0.249967i
\(145\) 0.532294 0.614300i 0.0442046 0.0510149i
\(146\) 11.4654 + 9.01647i 0.948881 + 0.746208i
\(147\) −6.00884 11.2215i −0.495601 0.925537i
\(148\) 1.40304 4.05383i 0.115329 0.333223i
\(149\) 17.1404 + 8.83651i 1.40420 + 0.723915i 0.983095 0.183098i \(-0.0586124\pi\)
0.421104 + 0.907012i \(0.361643\pi\)
\(150\) 5.78205 + 5.87739i 0.472102 + 0.479887i
\(151\) −3.99512 + 0.769995i −0.325118 + 0.0626613i −0.349199 0.937049i \(-0.613546\pi\)
0.0240809 + 0.999710i \(0.492334\pi\)
\(152\) 7.01936 2.06107i 0.569345 0.167175i
\(153\) −4.27290 + 4.33702i −0.345444 + 0.350627i
\(154\) −11.8246 + 13.6464i −0.952857 + 1.09966i
\(155\) 0.696741 + 0.978436i 0.0559636 + 0.0785899i
\(156\) 3.49700 1.66354i 0.279984 0.133190i
\(157\) −5.58975 + 7.84970i −0.446110 + 0.626474i −0.974997 0.222218i \(-0.928670\pi\)
0.528887 + 0.848692i \(0.322610\pi\)
\(158\) 2.55550 2.00967i 0.203305 0.159881i
\(159\) 6.70492 + 8.25718i 0.531735 + 0.654837i
\(160\) −0.244896 + 0.424172i −0.0193607 + 0.0335337i
\(161\) 1.64133 18.0924i 0.129355 1.42588i
\(162\) 8.77693 + 1.99134i 0.689581 + 0.156454i
\(163\) 13.6005 + 8.74054i 1.06528 + 0.684612i 0.951111 0.308850i \(-0.0999441\pi\)
0.114166 + 0.993462i \(0.463580\pi\)
\(164\) −2.57494 1.03085i −0.201069 0.0804958i
\(165\) 0.447238 + 4.01907i 0.0348175 + 0.312884i
\(166\) −1.81612 7.48614i −0.140958 0.581037i
\(167\) −10.5203 + 1.00457i −0.814085 + 0.0777357i −0.493789 0.869582i \(-0.664388\pi\)
−0.320296 + 0.947318i \(0.603782\pi\)
\(168\) 0.102501 + 6.56025i 0.00790815 + 0.506134i
\(169\) 6.28938 + 4.94602i 0.483798 + 0.380463i
\(170\) −0.953736 + 0.280042i −0.0731482 + 0.0214782i
\(171\) −1.72866 21.8789i −0.132194 1.67312i
\(172\) −1.97803 + 1.27120i −0.150824 + 0.0969285i
\(173\) 0.380648 + 7.99078i 0.0289401 + 0.607528i 0.966028 + 0.258436i \(0.0832070\pi\)
−0.937088 + 0.349092i \(0.886490\pi\)
\(174\) −1.74134 + 2.28694i −0.132011 + 0.173373i
\(175\) 13.0499 + 12.4431i 0.986482 + 0.940609i
\(176\) 4.42534 1.77164i 0.333572 0.133542i
\(177\) 17.2544 + 9.60557i 1.29692 + 0.721999i
\(178\) −8.67167 12.1777i −0.649969 0.912754i
\(179\) −0.115270 0.0338462i −0.00861566 0.00252979i 0.277422 0.960748i \(-0.410520\pi\)
−0.286038 + 0.958218i \(0.592338\pi\)
\(180\) 1.09460 + 0.980266i 0.0815864 + 0.0730647i
\(181\) −3.15253 21.9263i −0.234325 1.62977i −0.679043 0.734099i \(-0.737605\pi\)
0.444717 0.895671i \(-0.353304\pi\)
\(182\) 7.52777 3.88084i 0.557996 0.287667i
\(183\) 10.2380 9.15516i 0.756812 0.676769i
\(184\) −2.57372 + 4.04672i −0.189737 + 0.298328i
\(185\) −1.05054 1.81960i −0.0772375 0.133779i
\(186\) −2.67757 3.29746i −0.196329 0.241782i
\(187\) 8.98093 + 3.59542i 0.656751 + 0.262923i
\(188\) 0.642476 + 1.40683i 0.0468574 + 0.102603i
\(189\) 19.3247 + 3.73917i 1.40567 + 0.271984i
\(190\) 1.48850 3.25936i 0.107987 0.236459i
\(191\) 3.43600 + 9.92768i 0.248620 + 0.718341i 0.998394 + 0.0566473i \(0.0180410\pi\)
−0.749774 + 0.661694i \(0.769838\pi\)
\(192\) 0.769523 1.55172i 0.0555356 0.111986i
\(193\) −2.73452 2.60736i −0.196835 0.187682i 0.585251 0.810852i \(-0.300996\pi\)
−0.782086 + 0.623170i \(0.785844\pi\)
\(194\) 3.78723 10.9425i 0.271907 0.785624i
\(195\) 0.505872 1.82802i 0.0362263 0.130907i
\(196\) 0.349686 + 7.34081i 0.0249775 + 0.524343i
\(197\) 12.7126 + 14.6711i 0.905733 + 1.04527i 0.998769 + 0.0496094i \(0.0157976\pi\)
−0.0930352 + 0.995663i \(0.529657\pi\)
\(198\) −2.47638 14.0843i −0.175989 1.00093i
\(199\) 2.04818 14.2454i 0.145191 1.00983i −0.778761 0.627321i \(-0.784152\pi\)
0.923952 0.382507i \(-0.124939\pi\)
\(200\) −1.55688 4.49830i −0.110088 0.318078i
\(201\) 17.1592 + 3.87998i 1.21032 + 0.273672i
\(202\) −2.49030 10.2652i −0.175217 0.722254i
\(203\) −3.64649 + 5.12078i −0.255933 + 0.359408i
\(204\) 3.30339 1.20143i 0.231284 0.0841166i
\(205\) −1.20748 + 0.622498i −0.0843339 + 0.0434771i
\(206\) 12.3264 0.858821
\(207\) 10.2966 + 10.0489i 0.715663 + 0.698446i
\(208\) −2.23580 −0.155025
\(209\) −30.9958 + 15.9795i −2.14403 + 1.10532i
\(210\) 2.46122 + 2.06623i 0.169840 + 0.142583i
\(211\) 8.96961 12.5961i 0.617493 0.867148i −0.380853 0.924636i \(-0.624370\pi\)
0.998346 + 0.0574877i \(0.0183090\pi\)
\(212\) −1.44780 5.96793i −0.0994356 0.409879i
\(213\) 16.9815 18.3761i 1.16355 1.25911i
\(214\) 3.67509 + 10.6185i 0.251224 + 0.725863i
\(215\) −0.163896 + 1.13992i −0.0111776 + 0.0777420i
\(216\) −4.08211 3.21503i −0.277752 0.218755i
\(217\) −6.08347 7.02070i −0.412973 0.476596i
\(218\) 0.614740 + 12.9050i 0.0416354 + 0.874035i
\(219\) −24.4555 + 6.33898i −1.65255 + 0.428348i
\(220\) 0.763617 2.20633i 0.0514830 0.148750i
\(221\) −3.28387 3.13117i −0.220897 0.210625i
\(222\) 4.11417 + 6.18706i 0.276125 + 0.415249i
\(223\) 0.619578 + 1.79015i 0.0414900 + 0.119877i 0.963843 0.266471i \(-0.0858575\pi\)
−0.922353 + 0.386348i \(0.873736\pi\)
\(224\) 1.57360 3.44571i 0.105141 0.230226i
\(225\) −14.1663 + 1.80089i −0.944420 + 0.120059i
\(226\) 3.65184 + 7.99642i 0.242917 + 0.531914i
\(227\) 8.74330 + 3.50029i 0.580313 + 0.232322i 0.643200 0.765698i \(-0.277606\pi\)
−0.0628868 + 0.998021i \(0.520031\pi\)
\(228\) −4.52504 + 11.8356i −0.299678 + 0.783834i
\(229\) −8.91504 15.4413i −0.589123 1.02039i −0.994348 0.106173i \(-0.966140\pi\)
0.405225 0.914217i \(-0.367193\pi\)
\(230\) 0.672427 + 2.25065i 0.0443385 + 0.148404i
\(231\) −6.39792 30.6138i −0.420952 2.01424i
\(232\) 1.47507 0.760452i 0.0968432 0.0499261i
\(233\) 1.80430 + 12.5492i 0.118204 + 0.822124i 0.959532 + 0.281600i \(0.0908650\pi\)
−0.841328 + 0.540524i \(0.818226\pi\)
\(234\) −1.37691 + 6.56454i −0.0900116 + 0.429138i
\(235\) 0.726822 + 0.213414i 0.0474126 + 0.0139216i
\(236\) −6.61350 9.28736i −0.430502 0.604556i
\(237\) 0.0879713 + 5.63030i 0.00571435 + 0.365727i
\(238\) 7.13687 2.85717i 0.462615 0.185203i
\(239\) 2.56574 + 2.44643i 0.165964 + 0.158246i 0.768510 0.639838i \(-0.220999\pi\)
−0.602546 + 0.798084i \(0.705847\pi\)
\(240\) −0.327563 0.782553i −0.0211441 0.0505136i
\(241\) 0.957807 + 20.1068i 0.0616978 + 1.29520i 0.791344 + 0.611371i \(0.209382\pi\)
−0.729647 + 0.683824i \(0.760315\pi\)
\(242\) −9.86144 + 6.33756i −0.633917 + 0.407394i
\(243\) −11.9536 + 10.0055i −0.766826 + 0.641855i
\(244\) −7.60834 + 2.23401i −0.487074 + 0.143018i
\(245\) 2.82943 + 2.22509i 0.180766 + 0.142156i
\(246\) 4.12239 2.46673i 0.262834 0.157273i
\(247\) 16.2823 1.55478i 1.03602 0.0989280i
\(248\) 0.578173 + 2.38326i 0.0367140 + 0.151337i
\(249\) 12.2219 + 5.35238i 0.774529 + 0.339193i
\(250\) −4.43799 1.77670i −0.280683 0.112368i
\(251\) 2.91637 + 1.87424i 0.184080 + 0.118301i 0.629435 0.777053i \(-0.283286\pi\)
−0.445355 + 0.895354i \(0.646923\pi\)
\(252\) −9.14787 6.74230i −0.576262 0.424725i
\(253\) 8.39604 21.2631i 0.527854 1.33680i
\(254\) −6.50243 + 11.2625i −0.407999 + 0.706674i
\(255\) 0.614827 1.60813i 0.0385020 0.100705i
\(256\) −0.786053 + 0.618159i −0.0491283 + 0.0386349i
\(257\) −6.41460 + 9.00805i −0.400132 + 0.561907i −0.964657 0.263509i \(-0.915120\pi\)
0.564525 + 0.825416i \(0.309059\pi\)
\(258\) 0.323738 4.05967i 0.0201550 0.252744i
\(259\) 9.42576 + 13.2366i 0.585688 + 0.822484i
\(260\) −0.717121 + 0.827602i −0.0444740 + 0.0513257i
\(261\) −1.32435 4.79929i −0.0819751 0.297069i
\(262\) −12.0071 + 3.52562i −0.741804 + 0.217813i
\(263\) −19.4707 + 3.75266i −1.20061 + 0.231399i −0.750072 0.661357i \(-0.769981\pi\)
−0.450541 + 0.892756i \(0.648769\pi\)
\(264\) −2.20203 + 7.95726i −0.135526 + 0.489736i
\(265\) −2.67346 1.37827i −0.164230 0.0846662i
\(266\) −9.06372 + 26.1879i −0.555732 + 1.60568i
\(267\) 25.8804 + 0.827848i 1.58385 + 0.0506635i
\(268\) −7.98394 6.27864i −0.487697 0.383529i
\(269\) 16.3585 18.8787i 0.997394 1.15105i 0.00887427 0.999961i \(-0.497175\pi\)
0.988520 0.151093i \(-0.0482794\pi\)
\(270\) −2.49939 + 0.479826i −0.152108 + 0.0292013i
\(271\) −26.3029 7.72323i −1.59779 0.469153i −0.642858 0.765985i \(-0.722252\pi\)
−0.954930 + 0.296832i \(0.904070\pi\)
\(272\) −2.02025 0.192910i −0.122495 0.0116969i
\(273\) −2.55079 + 14.4457i −0.154381 + 0.874294i
\(274\) −0.339938 + 7.13617i −0.0205364 + 0.431112i
\(275\) 11.3452 + 19.6505i 0.684142 + 1.18497i
\(276\) −2.87601 7.79285i −0.173115 0.469075i
\(277\) 11.1039 19.2326i 0.667170 1.15557i −0.311522 0.950239i \(-0.600839\pi\)
0.978692 0.205334i \(-0.0658279\pi\)
\(278\) 2.42244 + 1.55681i 0.145288 + 0.0933712i
\(279\) 7.35358 0.229850i 0.440247 0.0137607i
\(280\) −0.770737 1.68768i −0.0460603 0.100858i
\(281\) 8.15965 7.78021i 0.486764 0.464128i −0.406507 0.913648i \(-0.633253\pi\)
0.893271 + 0.449519i \(0.148405\pi\)
\(282\) −2.61281 0.590797i −0.155590 0.0351814i
\(283\) −24.9421 4.80719i −1.48265 0.285758i −0.617222 0.786789i \(-0.711742\pi\)
−0.865429 + 0.501031i \(0.832954\pi\)
\(284\) −13.4111 + 5.36901i −0.795804 + 0.318592i
\(285\) 2.92969 + 5.47121i 0.173540 + 0.324086i
\(286\) 10.4650 2.01696i 0.618808 0.119265i
\(287\) 8.83865 5.68026i 0.521729 0.335295i
\(288\) 1.33089 + 2.68863i 0.0784235 + 0.158429i
\(289\) 8.43552 + 9.73511i 0.496207 + 0.572653i
\(290\) 0.191633 0.789923i 0.0112531 0.0463859i
\(291\) 11.1053 + 16.7007i 0.651007 + 0.979013i
\(292\) 14.3224 + 2.76042i 0.838156 + 0.161541i
\(293\) 2.37106 0.226409i 0.138519 0.0132270i −0.0255662 0.999673i \(-0.508139\pi\)
0.164085 + 0.986446i \(0.447533\pi\)
\(294\) −10.4829 7.22069i −0.611374 0.421119i
\(295\) −5.55906 0.530825i −0.323661 0.0309059i
\(296\) −0.610497 4.24610i −0.0354844 0.246799i
\(297\) 22.0073 + 11.3659i 1.27699 + 0.659515i
\(298\) 19.2841 1.11710
\(299\) −7.36260 + 7.79514i −0.425790 + 0.450805i
\(300\) 7.83247 + 2.57454i 0.452208 + 0.148641i
\(301\) 0.423800 8.89667i 0.0244275 0.512795i
\(302\) −3.19817 + 2.51507i −0.184034 + 0.144726i
\(303\) 16.7589 + 7.33930i 0.962773 + 0.421632i
\(304\) 5.29462 5.04841i 0.303667 0.289546i
\(305\) −1.61340 + 3.53285i −0.0923829 + 0.202290i
\(306\) −1.81057 + 5.81285i −0.103503 + 0.332299i
\(307\) 1.75425 12.2011i 0.100120 0.696351i −0.876504 0.481395i \(-0.840130\pi\)
0.976624 0.214956i \(-0.0689607\pi\)
\(308\) −4.25703 + 17.5477i −0.242567 + 0.999875i
\(309\) −12.9339 + 16.9863i −0.735782 + 0.966319i
\(310\) 1.06763 + 0.550403i 0.0606375 + 0.0312608i
\(311\) −22.3757 11.5355i −1.26881 0.654116i −0.313461 0.949601i \(-0.601489\pi\)
−0.955347 + 0.295485i \(0.904519\pi\)
\(312\) 2.34598 3.08103i 0.132815 0.174429i
\(313\) −4.09701 + 16.8881i −0.231577 + 0.954573i 0.730743 + 0.682653i \(0.239174\pi\)
−0.962320 + 0.271920i \(0.912341\pi\)
\(314\) −1.37142 + 9.53846i −0.0773939 + 0.538287i
\(315\) −5.42986 + 1.22361i −0.305938 + 0.0689427i
\(316\) 1.35054 2.95726i 0.0759736 0.166359i
\(317\) 0.243516 0.232192i 0.0136772 0.0130412i −0.683210 0.730222i \(-0.739416\pi\)
0.696887 + 0.717181i \(0.254568\pi\)
\(318\) 9.74323 + 4.26690i 0.546373 + 0.239276i
\(319\) −6.21827 + 4.89010i −0.348156 + 0.273793i
\(320\) −0.0233052 + 0.489237i −0.00130280 + 0.0273492i
\(321\) −18.4889 6.07733i −1.03195 0.339204i
\(322\) −6.83156 16.8333i −0.380708 0.938083i
\(323\) 14.8467 0.826094
\(324\) 8.71373 2.25185i 0.484096 0.125103i
\(325\) −1.51460 10.5343i −0.0840151 0.584338i
\(326\) 16.0938 + 1.53677i 0.891353 + 0.0851138i
\(327\) −18.4287 12.6938i −1.01911 0.701970i
\(328\) −2.76106 + 0.263649i −0.152454 + 0.0145576i
\(329\) −5.75264 1.10873i −0.317154 0.0611263i
\(330\) 2.23917 + 3.36736i 0.123262 + 0.185367i
\(331\) 6.07165 25.0277i 0.333728 1.37565i −0.519661 0.854372i \(-0.673942\pi\)
0.853389 0.521274i \(-0.174543\pi\)
\(332\) −5.04458 5.82176i −0.276857 0.319510i
\(333\) −12.8430 0.822470i −0.703791 0.0450711i
\(334\) −8.89049 + 5.71357i −0.486466 + 0.312633i
\(335\) −4.88491 + 0.941490i −0.266891 + 0.0514391i
\(336\) 3.09719 + 5.78401i 0.168965 + 0.315544i
\(337\) −25.9878 + 10.4039i −1.41564 + 0.566738i −0.948311 0.317343i \(-0.897209\pi\)
−0.467333 + 0.884081i \(0.654785\pi\)
\(338\) 7.85662 + 1.51424i 0.427344 + 0.0823637i
\(339\) −14.8512 3.35810i −0.806609 0.182387i
\(340\) −0.719391 + 0.685938i −0.0390145 + 0.0372002i
\(341\) −4.85622 10.6336i −0.262979 0.575843i
\(342\) −11.5620 18.6546i −0.625200 1.00873i
\(343\) −1.11257 0.715004i −0.0600730 0.0386066i
\(344\) −1.17565 + 2.03628i −0.0633866 + 0.109789i
\(345\) −3.80707 1.43494i −0.204966 0.0772544i
\(346\) 3.99992 + 6.92807i 0.215037 + 0.372455i
\(347\) −0.715824 + 15.0270i −0.0384275 + 0.806692i 0.894596 + 0.446876i \(0.147463\pi\)
−0.933023 + 0.359816i \(0.882840\pi\)
\(348\) −0.499829 + 2.83064i −0.0267936 + 0.151738i
\(349\) −35.3679 3.37722i −1.89320 0.180779i −0.917181 0.398471i \(-0.869541\pi\)
−0.976017 + 0.217693i \(0.930147\pi\)
\(350\) 17.3010 + 5.08003i 0.924777 + 0.271539i
\(351\) −7.60146 8.78550i −0.405736 0.468936i
\(352\) 3.12159 3.60250i 0.166381 0.192014i
\(353\) 7.42940 + 5.84254i 0.395427 + 0.310967i 0.795999 0.605298i \(-0.206946\pi\)
−0.400572 + 0.916265i \(0.631189\pi\)
\(354\) 19.7378 + 0.631363i 1.04905 + 0.0335566i
\(355\) −2.31417 + 6.68635i −0.122823 + 0.354874i
\(356\) −13.2878 6.85035i −0.704253 0.363068i
\(357\) −3.55128 + 12.8329i −0.187954 + 0.679190i
\(358\) −0.117965 + 0.0227359i −0.00623465 + 0.00120163i
\(359\) −26.7193 + 7.84548i −1.41019 + 0.414069i −0.896170 0.443710i \(-0.853662\pi\)
−0.514019 + 0.857779i \(0.671844\pi\)
\(360\) 1.42210 + 0.369722i 0.0749512 + 0.0194861i
\(361\) −22.6054 + 26.0880i −1.18976 + 1.37305i
\(362\) −12.8493 18.0443i −0.675344 0.948388i
\(363\) 1.61399 20.2394i 0.0847123 1.06229i
\(364\) 4.91265 6.89885i 0.257493 0.361598i
\(365\) 5.61564 4.41619i 0.293936 0.231154i
\(366\) 4.90473 12.8287i 0.256374 0.670569i
\(367\) 17.1668 29.7337i 0.896098 1.55209i 0.0636579 0.997972i \(-0.479723\pi\)
0.832440 0.554115i \(-0.186943\pi\)
\(368\) −0.433295 + 4.77622i −0.0225871 + 0.248978i
\(369\) −0.926291 + 8.26913i −0.0482208 + 0.430474i
\(370\) −1.76755 1.13593i −0.0918904 0.0590544i
\(371\) 21.5961 + 8.64576i 1.12121 + 0.448865i
\(372\) −3.89091 1.70397i −0.201734 0.0883465i
\(373\) −2.74531 11.3163i −0.142147 0.585936i −0.997673 0.0681775i \(-0.978282\pi\)
0.855527 0.517759i \(-0.173234\pi\)
\(374\) 9.63009 0.919562i 0.497960 0.0475494i
\(375\) 7.10507 4.25148i 0.366904 0.219546i
\(376\) 1.21570 + 0.956038i 0.0626950 + 0.0493039i
\(377\) 3.56013 1.04535i 0.183356 0.0538382i
\(378\) 18.8899 5.53160i 0.971591 0.284515i
\(379\) 12.6841 8.15160i 0.651541 0.418720i −0.172688 0.984977i \(-0.555245\pi\)
0.824229 + 0.566257i \(0.191609\pi\)
\(380\) −0.170494 3.57911i −0.00874615 0.183604i
\(381\) −8.69740 20.7782i −0.445581 1.06450i
\(382\) 7.60316 + 7.24960i 0.389012 + 0.370922i
\(383\) 11.6156 4.65020i 0.593531 0.237614i −0.0553963 0.998464i \(-0.517642\pi\)
0.648927 + 0.760851i \(0.275218\pi\)
\(384\) −0.0270593 1.73184i −0.00138086 0.0883776i
\(385\) 5.13004 + 7.20414i 0.261451 + 0.367157i
\(386\) −3.62530 1.06448i −0.184523 0.0541808i
\(387\) 5.25472 + 4.70586i 0.267112 + 0.239213i
\(388\) −1.64791 11.4615i −0.0836599 0.581868i
\(389\) 1.28678 0.663382i 0.0652424 0.0336348i −0.425297 0.905054i \(-0.639830\pi\)
0.490539 + 0.871419i \(0.336800\pi\)
\(390\) −0.388010 1.85661i −0.0196477 0.0940133i
\(391\) −7.32536 + 6.40835i −0.370459 + 0.324084i
\(392\) 3.67456 + 6.36453i 0.185594 + 0.321457i
\(393\) 7.74042 20.2457i 0.390453 1.02126i
\(394\) 18.0221 + 7.21495i 0.907939 + 0.363484i
\(395\) −0.661481 1.44844i −0.0332827 0.0728790i
\(396\) −8.65491 11.3839i −0.434926 0.572063i
\(397\) −2.40072 + 5.25685i −0.120489 + 0.263834i −0.960260 0.279107i \(-0.909962\pi\)
0.839771 + 0.542940i \(0.182689\pi\)
\(398\) −4.70712 13.6003i −0.235946 0.681723i
\(399\) −26.5777 39.9687i −1.33055 2.00094i
\(400\) −3.44505 3.28485i −0.172252 0.164242i
\(401\) −5.39881 + 15.5988i −0.269604 + 0.778968i 0.726203 + 0.687481i \(0.241283\pi\)
−0.995806 + 0.0914877i \(0.970838\pi\)
\(402\) 17.0297 4.41416i 0.849362 0.220158i
\(403\) 0.260894 + 5.47684i 0.0129961 + 0.272821i
\(404\) −6.91724 7.98292i −0.344145 0.397165i
\(405\) 1.96134 3.94774i 0.0974599 0.196165i
\(406\) −0.894653 + 6.22245i −0.0444009 + 0.308815i
\(407\) 6.68802 + 19.3238i 0.331513 + 0.957843i
\(408\) 2.38565 2.58157i 0.118107 0.127807i
\(409\) −4.05405 16.7110i −0.200460 0.826307i −0.979845 0.199762i \(-0.935983\pi\)
0.779385 0.626546i \(-0.215532\pi\)
\(410\) −0.788003 + 1.10660i −0.0389167 + 0.0546509i
\(411\) −9.47727 7.95631i −0.467479 0.392456i
\(412\) 10.9561 5.64828i 0.539770 0.278271i
\(413\) 43.1890 2.12519
\(414\) 13.7566 + 4.21363i 0.676102 + 0.207089i
\(415\) −3.77300 −0.185209
\(416\) −1.98726 + 1.02450i −0.0974332 + 0.0502303i
\(417\) −4.68718 + 1.70470i −0.229532 + 0.0834796i
\(418\) −20.2280 + 28.4062i −0.989383 + 1.38939i
\(419\) 0.739756 + 3.04932i 0.0361395 + 0.148969i 0.987023 0.160581i \(-0.0513368\pi\)
−0.950883 + 0.309550i \(0.899822\pi\)
\(420\) 3.13442 + 0.708741i 0.152944 + 0.0345830i
\(421\) −3.72950 10.7757i −0.181765 0.525175i 0.816903 0.576775i \(-0.195689\pi\)
−0.998668 + 0.0516002i \(0.983568\pi\)
\(422\) 2.20066 15.3059i 0.107126 0.745081i
\(423\) 3.55572 2.98065i 0.172885 0.144924i
\(424\) −4.02152 4.64108i −0.195302 0.225391i
\(425\) −0.459657 9.64938i −0.0222966 0.468064i
\(426\) 6.67333 24.1147i 0.323324 1.16836i
\(427\) 9.82424 28.3853i 0.475428 1.37366i
\(428\) 8.13221 + 7.75405i 0.393085 + 0.374806i
\(429\) −8.20126 + 16.5376i −0.395961 + 0.798442i
\(430\) 0.376666 + 1.08830i 0.0181644 + 0.0524827i
\(431\) −3.47922 + 7.61843i −0.167588 + 0.366967i −0.974729 0.223393i \(-0.928287\pi\)
0.807140 + 0.590360i \(0.201014\pi\)
\(432\) −5.10153 0.987102i −0.245448 0.0474920i
\(433\) −5.64731 12.3659i −0.271393 0.594267i 0.724037 0.689761i \(-0.242284\pi\)
−0.995430 + 0.0954938i \(0.969557\pi\)
\(434\) −8.62427 3.45264i −0.413978 0.165732i
\(435\) 0.887472 + 1.09293i 0.0425510 + 0.0524021i
\(436\) 6.45980 + 11.1887i 0.309369 + 0.535842i
\(437\) −0.165882 35.0844i −0.00793523 1.67832i
\(438\) −18.8322 + 16.8405i −0.899839 + 0.804669i
\(439\) 0.138093 0.0711921i 0.00659083 0.00339781i −0.454928 0.890528i \(-0.650335\pi\)
0.461519 + 0.887130i \(0.347305\pi\)
\(440\) −0.332267 2.31097i −0.0158402 0.110171i
\(441\) 20.9499 6.86933i 0.997616 0.327111i
\(442\) −4.35361 1.27833i −0.207080 0.0608042i
\(443\) −20.9842 29.4682i −0.996989 1.40008i −0.915005 0.403441i \(-0.867814\pi\)
−0.0819835 0.996634i \(-0.526125\pi\)
\(444\) 6.49189 + 3.61406i 0.308092 + 0.171516i
\(445\) −6.79773 + 2.72140i −0.322243 + 0.129007i
\(446\) 1.37100 + 1.30724i 0.0649186 + 0.0618998i
\(447\) −20.2345 + 26.5744i −0.957059 + 1.25693i
\(448\) −0.180241 3.78373i −0.00851561 0.178765i
\(449\) −21.1802 + 13.6117i −0.999555 + 0.642375i −0.934670 0.355518i \(-0.884305\pi\)
−0.0648857 + 0.997893i \(0.520668\pi\)
\(450\) −11.7663 + 8.09207i −0.554669 + 0.381464i
\(451\) 12.6857 3.72486i 0.597346 0.175397i
\(452\) 6.91006 + 5.43413i 0.325022 + 0.255600i
\(453\) −0.110095 7.04623i −0.00517270 0.331061i
\(454\) 9.37528 0.895231i 0.440004 0.0420152i
\(455\) −0.977968 4.03124i −0.0458478 0.188987i
\(456\) 1.40138 + 12.5934i 0.0656258 + 0.589741i
\(457\) −7.28818 2.91775i −0.340927 0.136486i 0.194880 0.980827i \(-0.437568\pi\)
−0.535807 + 0.844341i \(0.679992\pi\)
\(458\) −14.9996 9.63967i −0.700886 0.450432i
\(459\) −6.11057 8.59437i −0.285217 0.401151i
\(460\) 1.62899 + 1.69234i 0.0759519 + 0.0789056i
\(461\) 12.6176 21.8543i 0.587658 1.01785i −0.406880 0.913482i \(-0.633383\pi\)
0.994538 0.104373i \(-0.0332834\pi\)
\(462\) −19.7147 24.2789i −0.917213 1.12956i
\(463\) −10.5451 + 8.29278i −0.490073 + 0.385398i −0.832393 0.554185i \(-0.813030\pi\)
0.342320 + 0.939584i \(0.388787\pi\)
\(464\) 0.962636 1.35183i 0.0446893 0.0627573i
\(465\) −1.87873 + 0.893718i −0.0871240 + 0.0414452i
\(466\) 7.35409 + 10.3274i 0.340672 + 0.478407i
\(467\) −22.8147 + 26.3296i −1.05574 + 1.21839i −0.0806122 + 0.996746i \(0.525688\pi\)
−0.975128 + 0.221643i \(0.928858\pi\)
\(468\) 1.78420 + 6.46574i 0.0824746 + 0.298879i
\(469\) 36.9165 10.8397i 1.70464 0.500529i
\(470\) 0.743817 0.143359i 0.0343097 0.00661265i
\(471\) −11.7054 11.8984i −0.539357 0.548250i
\(472\) −10.1340 5.22445i −0.466456 0.240475i
\(473\) 3.66582 10.5917i 0.168555 0.487006i
\(474\) 2.65815 + 4.96410i 0.122093 + 0.228009i
\(475\) 27.3731 + 21.5264i 1.25596 + 0.987701i
\(476\) 5.03427 5.80986i 0.230746 0.266295i
\(477\) −16.1034 + 8.94942i −0.737323 + 0.409766i
\(478\) 3.40154 + 0.998782i 0.155583 + 0.0456832i
\(479\) 19.7001 + 1.88113i 0.900121 + 0.0859511i 0.534847 0.844949i \(-0.320369\pi\)
0.365274 + 0.930900i \(0.380975\pi\)
\(480\) −0.649736 0.545463i −0.0296563 0.0248969i
\(481\) 0.456360 9.58017i 0.0208082 0.436818i
\(482\) 10.0648 + 17.4328i 0.458440 + 0.794041i
\(483\) 30.3653 + 8.24869i 1.38167 + 0.375328i
\(484\) −5.86116 + 10.1518i −0.266416 + 0.461446i
\(485\) −4.77113 3.06622i −0.216646 0.139230i
\(486\) −6.04001 + 14.3707i −0.273980 + 0.651870i
\(487\) −9.70343 21.2475i −0.439704 0.962818i −0.991652 0.128940i \(-0.958843\pi\)
0.551948 0.833878i \(-0.313885\pi\)
\(488\) −5.73888 + 5.47201i −0.259787 + 0.247706i
\(489\) −19.0047 + 20.5655i −0.859421 + 0.930002i
\(490\) 3.53449 + 0.681218i 0.159672 + 0.0307743i
\(491\) −16.5979 + 6.64480i −0.749053 + 0.299876i −0.714602 0.699531i \(-0.753392\pi\)
−0.0344505 + 0.999406i \(0.510968\pi\)
\(492\) 2.53381 4.08150i 0.114233 0.184008i
\(493\) 3.30710 0.637390i 0.148944 0.0287066i
\(494\) 13.7599 8.84294i 0.619087 0.397863i
\(495\) −6.98989 0.447635i −0.314172 0.0201197i
\(496\) 1.60597 + 1.85339i 0.0721104 + 0.0832198i
\(497\) 12.9011 53.1790i 0.578693 2.38540i
\(498\) 13.3158 0.842993i 0.596696 0.0377754i
\(499\) 37.3924 + 7.20680i 1.67392 + 0.322621i 0.935927 0.352193i \(-0.114564\pi\)
0.737988 + 0.674814i \(0.235776\pi\)
\(500\) −4.75877 + 0.454407i −0.212819 + 0.0203217i
\(501\) 1.45508 18.2466i 0.0650080 0.815200i
\(502\) 3.45100 + 0.329531i 0.154026 + 0.0147077i
\(503\) −0.332646 2.31361i −0.0148320 0.103159i 0.981061 0.193701i \(-0.0620491\pi\)
−0.995893 + 0.0905422i \(0.971140\pi\)
\(504\) −11.2205 1.80100i −0.499799 0.0802229i
\(505\) −5.17363 −0.230223
\(506\) −2.28062 22.7467i −0.101386 1.01121i
\(507\) −10.3305 + 9.23791i −0.458793 + 0.410270i
\(508\) −0.618796 + 12.9901i −0.0274546 + 0.576344i
\(509\) 10.1591 7.98924i 0.450296 0.354117i −0.367111 0.930177i \(-0.619653\pi\)
0.817407 + 0.576060i \(0.195411\pi\)
\(510\) −0.190409 1.71110i −0.00843146 0.0757686i
\(511\) −39.9879 + 38.1283i −1.76896 + 1.68670i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) 37.8387 + 3.64103i 1.67062 + 0.160755i
\(514\) −1.57380 + 10.9460i −0.0694173 + 0.482808i
\(515\) 1.42336 5.86718i 0.0627209 0.258539i
\(516\) −1.57250 3.75672i −0.0692254 0.165381i
\(517\) −6.55273 3.37817i −0.288189 0.148572i
\(518\) 14.4433 + 7.44605i 0.634603 + 0.327161i
\(519\) −13.7442 1.75743i −0.603305 0.0771424i
\(520\) −0.258174 + 1.06421i −0.0113217 + 0.0466685i
\(521\) −2.38601 + 16.5951i −0.104533 + 0.727044i 0.868384 + 0.495892i \(0.165159\pi\)
−0.972918 + 0.231152i \(0.925750\pi\)
\(522\) −3.37629 3.65893i −0.147776 0.160147i
\(523\) 8.84904 19.3767i 0.386942 0.847284i −0.611488 0.791254i \(-0.709429\pi\)
0.998429 0.0560297i \(-0.0178442\pi\)
\(524\) −9.05684 + 8.63568i −0.395650 + 0.377252i
\(525\) −25.1541 + 18.5112i −1.09782 + 0.807893i
\(526\) −15.5866 + 12.2575i −0.679610 + 0.534451i
\(527\) −0.236814 + 4.97133i −0.0103158 + 0.216554i
\(528\) 1.68898 + 8.08172i 0.0735036 + 0.351712i
\(529\) 15.2255 + 17.2390i 0.661978 + 0.749523i
\(530\) −3.00783 −0.130652
\(531\) −21.5806 + 26.5371i −0.936518 + 1.15161i
\(532\) 3.94383 + 27.4300i 0.170987 + 1.18924i
\(533\) −6.17316 0.589466i −0.267389 0.0255326i
\(534\) 23.3828 11.1233i 1.01187 0.481351i
\(535\) 5.47860 0.523143i 0.236861 0.0226175i
\(536\) −9.97345 1.92223i −0.430787 0.0830275i
\(537\) 0.0924475 0.186417i 0.00398940 0.00804451i
\(538\) 5.88928 24.2759i 0.253905 1.04661i
\(539\) −22.9409 26.4753i −0.988136 1.14037i
\(540\) −2.00168 + 1.57177i −0.0861385 + 0.0676384i
\(541\) 11.7301 7.53849i 0.504317 0.324105i −0.263624 0.964626i \(-0.584918\pi\)
0.767941 + 0.640521i \(0.221281\pi\)
\(542\) −26.9179 + 5.18801i −1.15622 + 0.222844i
\(543\) 38.3484 + 1.22667i 1.64569 + 0.0526413i
\(544\) −1.88406 + 0.754265i −0.0807785 + 0.0323388i
\(545\) 6.21356 + 1.19757i 0.266160 + 0.0512981i
\(546\) 4.35217 + 14.0087i 0.186256 + 0.599517i
\(547\) −28.2575 + 26.9434i −1.20820 + 1.15202i −0.224071 + 0.974573i \(0.571935\pi\)
−0.984131 + 0.177445i \(0.943217\pi\)
\(548\) 2.96783 + 6.49865i 0.126780 + 0.277609i
\(549\) 12.5321 + 20.2199i 0.534858 + 0.862964i
\(550\) 19.0884 + 12.2674i 0.813932 + 0.523083i
\(551\) −6.07040 + 10.5142i −0.258608 + 0.447922i
\(552\) −6.12719 5.60870i −0.260791 0.238722i
\(553\) 6.15754 + 10.6652i 0.261845 + 0.453529i
\(554\) 1.05669 22.1827i 0.0448945 0.942452i
\(555\) 3.42002 1.24384i 0.145172 0.0527983i
\(556\) 2.86652 + 0.273720i 0.121568 + 0.0116083i
\(557\) −13.2782 3.89884i −0.562616 0.165199i −0.0119559 0.999929i \(-0.503806\pi\)
−0.550660 + 0.834730i \(0.685624\pi\)
\(558\) 6.43080 3.57390i 0.272237 0.151295i
\(559\) −3.44261 + 3.97299i −0.145607 + 0.168039i
\(560\) −1.45840 1.14690i −0.0616285 0.0484652i
\(561\) −8.83748 + 14.2356i −0.373119 + 0.601026i
\(562\) 3.68749 10.6543i 0.155547 0.449424i
\(563\) 10.8456 + 5.59130i 0.457088 + 0.235645i 0.671364 0.741128i \(-0.265709\pi\)
−0.214276 + 0.976773i \(0.568739\pi\)
\(564\) −2.59308 + 0.672137i −0.109188 + 0.0283021i
\(565\) 4.22786 0.814854i 0.177868 0.0342812i
\(566\) −24.3722 + 7.15632i −1.02444 + 0.300802i
\(567\) −12.1980 + 31.8353i −0.512269 + 1.33696i
\(568\) −9.46007 + 10.9175i −0.396936 + 0.458088i
\(569\) 15.9360 + 22.3790i 0.668072 + 0.938176i 0.999987 0.00513312i \(-0.00163393\pi\)
−0.331914 + 0.943309i \(0.607695\pi\)
\(570\) 5.11106 + 3.52054i 0.214079 + 0.147459i
\(571\) −23.3219 + 32.7510i −0.975990 + 1.37059i −0.0476452 + 0.998864i \(0.515172\pi\)
−0.928344 + 0.371721i \(0.878768\pi\)
\(572\) 8.37743 6.58808i 0.350278 0.275461i
\(573\) −17.9681 + 2.87062i −0.750630 + 0.119922i
\(574\) 5.25326 9.09892i 0.219267 0.379781i
\(575\) −22.7974 + 1.19403i −0.950718 + 0.0497946i
\(576\) 2.41494 + 1.77990i 0.100623 + 0.0741625i
\(577\) −9.42218 6.05526i −0.392250 0.252084i 0.329618 0.944114i \(-0.393080\pi\)
−0.721868 + 0.692030i \(0.756716\pi\)
\(578\) 11.9587 + 4.78753i 0.497415 + 0.199135i
\(579\) 5.27087 3.87888i 0.219050 0.161201i
\(580\) −0.191633 0.789923i −0.00795714 0.0327998i
\(581\) 29.0481 2.77376i 1.20512 0.115075i
\(582\) 17.5235 + 9.75542i 0.726374 + 0.404375i
\(583\) 23.0102 + 18.0954i 0.952984 + 0.749435i
\(584\) 13.9952 4.10935i 0.579124 0.170046i
\(585\) 2.96563 + 1.41342i 0.122614 + 0.0584375i
\(586\) 2.00374 1.28773i 0.0827737 0.0531954i
\(587\) 0.734102 + 15.4107i 0.0302996 + 0.636068i 0.962034 + 0.272928i \(0.0879921\pi\)
−0.931735 + 0.363139i \(0.881705\pi\)
\(588\) −12.6263 1.61448i −0.520698 0.0665799i
\(589\) −12.9845 12.3807i −0.535016 0.510136i
\(590\) −5.18432 + 2.07549i −0.213435 + 0.0854466i
\(591\) −28.8528 + 17.2647i −1.18684 + 0.710175i
\(592\) −2.48831 3.49434i −0.102269 0.143616i
\(593\) −19.0298 5.58767i −0.781462 0.229458i −0.133417 0.991060i \(-0.542595\pi\)
−0.648045 + 0.761602i \(0.724413\pi\)
\(594\) 24.7690 + 0.0180784i 1.01628 + 0.000741764i
\(595\) −0.535857 3.72697i −0.0219680 0.152791i
\(596\) 17.1404 8.83651i 0.702099 0.361957i
\(597\) 23.6809 + 7.78396i 0.969197 + 0.318576i
\(598\) −2.97220 + 10.3023i −0.121542 + 0.421294i
\(599\) −11.0515 19.1417i −0.451551 0.782109i 0.546932 0.837177i \(-0.315796\pi\)
−0.998483 + 0.0550681i \(0.982462\pi\)
\(600\) 8.14150 1.30070i 0.332375 0.0531009i
\(601\) −8.19642 3.28135i −0.334339 0.133849i 0.198418 0.980118i \(-0.436420\pi\)
−0.532757 + 0.846268i \(0.678844\pi\)
\(602\) −3.70000 8.10187i −0.150801 0.330208i
\(603\) −11.7860 + 28.0993i −0.479963 + 1.14429i
\(604\) −1.69017 + 3.70097i −0.0687722 + 0.150590i
\(605\) 1.87786 + 5.42571i 0.0763458 + 0.220587i
\(606\) 18.2590 1.15593i 0.741719 0.0469565i
\(607\) −6.84169 6.52354i −0.277696 0.264782i 0.538413 0.842681i \(-0.319024\pi\)
−0.816108 + 0.577899i \(0.803873\pi\)
\(608\) 2.39273 6.91334i 0.0970380 0.280373i
\(609\) −7.63607 7.76198i −0.309429 0.314531i
\(610\) 0.184800 + 3.87942i 0.00748232 + 0.157073i
\(611\) 2.26442 + 2.61328i 0.0916085 + 0.105722i
\(612\) 1.05431 + 5.99632i 0.0426178 + 0.242387i
\(613\) −3.93843 + 27.3924i −0.159072 + 1.10637i 0.741278 + 0.671198i \(0.234220\pi\)
−0.900349 + 0.435168i \(0.856689\pi\)
\(614\) −4.03161 11.6486i −0.162703 0.470098i
\(615\) −0.698101 2.24704i −0.0281501 0.0906092i
\(616\) 4.25703 + 17.5477i 0.171521 + 0.707018i
\(617\) 21.4419 30.1109i 0.863219 1.21222i −0.112600 0.993640i \(-0.535918\pi\)
0.975819 0.218581i \(-0.0701427\pi\)
\(618\) −3.71250 + 21.0247i −0.149338 + 0.845737i
\(619\) 29.8133 15.3698i 1.19830 0.617766i 0.260678 0.965426i \(-0.416054\pi\)
0.937621 + 0.347660i \(0.113024\pi\)
\(620\) 1.20116 0.0482397
\(621\) −20.2412 + 14.5360i −0.812250 + 0.583309i
\(622\) −25.1742 −1.00939
\(623\) 50.3346 25.9493i 2.01661 1.03964i
\(624\) 0.673383 3.81352i 0.0269569 0.152663i
\(625\) 12.4475 17.4801i 0.497900 0.699203i
\(626\) 4.09701 + 16.8881i 0.163750 + 0.674985i
\(627\) −17.9202 57.6812i −0.715663 2.30356i
\(628\) 3.15181 + 9.10655i 0.125771 + 0.363391i
\(629\) 1.23896 8.61718i 0.0494007 0.343589i
\(630\) −4.26556 + 3.57570i −0.169944 + 0.142459i
\(631\) −6.47491 7.47244i −0.257762 0.297473i 0.612088 0.790790i \(-0.290330\pi\)
−0.869850 + 0.493317i \(0.835784\pi\)
\(632\) −0.154691 3.24737i −0.00615329 0.129173i
\(633\) 18.7831 + 19.0928i 0.746563 + 0.758872i
\(634\) 0.110049 0.317966i 0.00437060 0.0126280i
\(635\) 4.60995 + 4.39557i 0.182940 + 0.174433i
\(636\) 10.6153 0.672031i 0.420925 0.0266478i
\(637\) 5.37411 + 15.5275i 0.212930 + 0.615221i
\(638\) −3.28625 + 7.19588i −0.130104 + 0.284887i
\(639\) 26.2290 + 34.4993i 1.03760 + 1.36477i
\(640\) 0.203467 + 0.445530i 0.00804273 + 0.0176111i
\(641\) 8.32889 + 3.33439i 0.328972 + 0.131700i 0.530268 0.847830i \(-0.322091\pi\)
−0.201297 + 0.979530i \(0.564515\pi\)
\(642\) −19.2184 + 3.07037i −0.758490 + 0.121178i
\(643\) 7.66733 + 13.2802i 0.302370 + 0.523720i 0.976672 0.214735i \(-0.0688888\pi\)
−0.674302 + 0.738455i \(0.735556\pi\)
\(644\) −13.7856 11.8316i −0.543228 0.466232i
\(645\) −1.89496 0.622876i −0.0746140 0.0245257i
\(646\) 13.1963 6.80316i 0.519201 0.267667i
\(647\) 4.00494 + 27.8550i 0.157451 + 1.09509i 0.903310 + 0.428989i \(0.141130\pi\)
−0.745859 + 0.666104i \(0.767961\pi\)
\(648\) 6.71322 5.99439i 0.263720 0.235482i
\(649\) 52.1469 + 15.3117i 2.04695 + 0.601038i
\(650\) −6.17333 8.66923i −0.242138 0.340035i
\(651\) 13.8072 8.26184i 0.541146 0.323807i
\(652\) 15.0089 6.00866i 0.587795 0.235317i
\(653\) 7.11892 + 6.78788i 0.278585 + 0.265630i 0.816470 0.577388i \(-0.195928\pi\)
−0.537885 + 0.843018i \(0.680777\pi\)
\(654\) −22.1967 2.83821i −0.867960 0.110983i
\(655\) 0.291643 + 6.12233i 0.0113954 + 0.239219i
\(656\) −2.33331 + 1.49953i −0.0911006 + 0.0585468i
\(657\) −3.44660 43.6221i −0.134464 1.70186i
\(658\) −5.62120 + 1.65053i −0.219137 + 0.0643445i
\(659\) 9.89532 + 7.78177i 0.385467 + 0.303135i 0.792023 0.610491i \(-0.209028\pi\)
−0.406556 + 0.913626i \(0.633270\pi\)
\(660\) 3.53326 + 1.96698i 0.137532 + 0.0765646i
\(661\) −9.41481 + 0.899006i −0.366194 + 0.0349673i −0.276531 0.961005i \(-0.589185\pi\)
−0.0896626 + 0.995972i \(0.528579\pi\)
\(662\) −6.07165 25.0277i −0.235981 0.972729i
\(663\) 6.32976 4.65813i 0.245828 0.180907i
\(664\) −7.15148 2.86302i −0.277531 0.111107i
\(665\) 11.4184 + 7.33818i 0.442788 + 0.284562i
\(666\) −11.7922 + 5.15395i −0.456937 + 0.199712i
\(667\) −1.54317 7.80791i −0.0597519 0.302323i
\(668\) −5.28407 + 9.15229i −0.204447 + 0.354113i
\(669\) −3.24000 + 0.517629i −0.125266 + 0.0200127i
\(670\) −3.91047 + 3.07523i −0.151075 + 0.118806i
\(671\) 21.9253 30.7897i 0.846416 1.18862i
\(672\) 5.40328 + 3.72182i 0.208436 + 0.143572i
\(673\) −28.3599 39.8259i −1.09319 1.53518i −0.819256 0.573429i \(-0.805613\pi\)
−0.273938 0.961747i \(-0.588326\pi\)
\(674\) −18.3315 + 21.1557i −0.706103 + 0.814886i
\(675\) 1.19493 24.7053i 0.0459930 0.950909i
\(676\) 7.67710 2.25420i 0.295273 0.0867001i
\(677\) 6.56478 1.26526i 0.252305 0.0486278i −0.0615304 0.998105i \(-0.519598\pi\)
0.313835 + 0.949477i \(0.398386\pi\)
\(678\) −14.7391 + 3.82043i −0.566051 + 0.146723i
\(679\) 38.9868 + 20.0991i 1.49618 + 0.771332i
\(680\) −0.325105 + 0.939331i −0.0124672 + 0.0360217i
\(681\) −8.60364 + 13.8589i −0.329692 + 0.531074i
\(682\) −9.18899 7.22630i −0.351865 0.276709i
\(683\) −29.4340 + 33.9687i −1.12626 + 1.29978i −0.177382 + 0.984142i \(0.556763\pi\)
−0.948881 + 0.315634i \(0.897783\pi\)
\(684\) −18.8247 11.2829i −0.719782 0.431412i
\(685\) 3.35746 + 0.985839i 0.128282 + 0.0376670i
\(686\) −1.31652 0.125713i −0.0502651 0.00479974i
\(687\) 29.0227 10.5554i 1.10729 0.402714i
\(688\) −0.111879 + 2.34863i −0.00426535 + 0.0895407i
\(689\) −6.86506 11.8906i −0.261538 0.452997i
\(690\) −4.04138 + 0.469076i −0.153853 + 0.0178574i
\(691\) −11.0380 + 19.1183i −0.419904 + 0.727295i −0.995929 0.0901370i \(-0.971270\pi\)
0.576026 + 0.817432i \(0.304603\pi\)
\(692\) 6.72990 + 4.32504i 0.255832 + 0.164413i
\(693\) 54.1437 1.69236i 2.05675 0.0642875i
\(694\) 6.24952 + 13.6845i 0.237229 + 0.519458i
\(695\) 1.02074 0.973277i 0.0387190 0.0369185i
\(696\) 0.852810 + 2.74501i 0.0323257 + 0.104049i
\(697\) −5.52715 1.06527i −0.209356 0.0403500i
\(698\) −32.9837 + 13.2047i −1.24845 + 0.499805i
\(699\) −21.9481 0.702064i −0.830154 0.0265545i
\(700\) 17.7055 3.41246i 0.669207 0.128979i
\(701\) −6.32357 + 4.06391i −0.238838 + 0.153492i −0.654585 0.755989i \(-0.727157\pi\)
0.415747 + 0.909480i \(0.363520\pi\)
\(702\) −10.7822 4.32568i −0.406948 0.163262i
\(703\) 20.5512 + 23.7174i 0.775104 + 0.894517i
\(704\) 1.12381 4.63242i 0.0423553 0.174591i
\(705\) −0.582919 + 1.17544i −0.0219540 + 0.0442695i
\(706\) 9.28072 + 1.78871i 0.349284 + 0.0673191i
\(707\) 39.8314 3.80344i 1.49801 0.143043i
\(708\) 17.8330 8.48322i 0.670205 0.318819i
\(709\) 15.6815 + 1.49740i 0.588930 + 0.0562360i 0.385267 0.922805i \(-0.374109\pi\)
0.203663 + 0.979041i \(0.434715\pi\)
\(710\) 1.00695 + 7.00347i 0.0377901 + 0.262836i
\(711\) −9.62990 1.54570i −0.361149 0.0579682i
\(712\) −14.9497 −0.560263
\(713\) 11.7504 + 0.504072i 0.440058 + 0.0188776i
\(714\) 2.72388 + 13.0336i 0.101938 + 0.487772i
\(715\) 0.248377 5.21408i 0.00928878 0.194996i
\(716\) −0.0944333 + 0.0742632i −0.00352914 + 0.00277535i
\(717\) −4.94554 + 3.63947i −0.184695 + 0.135918i
\(718\) −20.1540 + 19.2168i −0.752141 + 0.717165i
\(719\) 13.9866 30.6263i 0.521611 1.14217i −0.447215 0.894426i \(-0.647584\pi\)
0.968826 0.247742i \(-0.0796884\pi\)
\(720\) 1.43343 0.323021i 0.0534207 0.0120383i
\(721\) −6.64507 + 46.2174i −0.247475 + 1.72123i
\(722\) −8.13825 + 33.5463i −0.302874 + 1.24846i
\(723\) −34.5840 4.42213i −1.28619 0.164461i
\(724\) −19.6893 10.1505i −0.731747 0.377242i
\(725\) 7.02149 + 3.61983i 0.260772 + 0.134437i
\(726\) −7.83966 18.7291i −0.290957 0.695101i
\(727\) 2.60790 10.7499i 0.0967218 0.398693i −0.902785 0.430092i \(-0.858481\pi\)
0.999507 + 0.0313991i \(0.00999629\pi\)
\(728\) 1.20530 8.38305i 0.0446714 0.310697i
\(729\) −13.4659 23.4024i −0.498735 0.866754i
\(730\) 2.96777 6.49850i 0.109842 0.240520i
\(731\) −3.45351 + 3.29292i −0.127733 + 0.121793i
\(732\) −1.51897 13.6501i −0.0561428 0.504523i
\(733\) 28.9613 22.7754i 1.06971 0.841230i 0.0818619 0.996644i \(-0.473913\pi\)
0.987850 + 0.155413i \(0.0496709\pi\)
\(734\) 1.63366 34.2946i 0.0602993 1.26584i
\(735\) −4.64743 + 4.15590i −0.171423 + 0.153293i
\(736\) 1.80346 + 4.44382i 0.0664765 + 0.163801i
\(737\) 48.4163 1.78344
\(738\) 2.96581 + 7.77435i 0.109173 + 0.286178i
\(739\) 2.17705 + 15.1417i 0.0800842 + 0.556998i 0.989876 + 0.141934i \(0.0453319\pi\)
−0.909792 + 0.415065i \(0.863759\pi\)
\(740\) −2.09157 0.199721i −0.0768878 0.00734190i
\(741\) −2.25203 + 28.2405i −0.0827305 + 1.03744i
\(742\) 23.1571 2.21123i 0.850122 0.0811768i
\(743\) −37.3778 7.20399i −1.37126 0.264289i −0.550153 0.835064i \(-0.685431\pi\)
−0.821106 + 0.570775i \(0.806643\pi\)
\(744\) −4.23918 + 0.268372i −0.155416 + 0.00983900i
\(745\) 2.22679 9.17896i 0.0815834 0.336291i
\(746\) −7.62556 8.80037i −0.279192 0.322204i
\(747\) −12.8104 + 19.2343i −0.468707 + 0.703748i
\(748\) 8.13820 5.23010i 0.297562 0.191231i
\(749\) −41.7948 + 8.05529i −1.52715 + 0.294334i
\(750\) 4.36710 7.03460i 0.159464 0.256867i
\(751\) −33.0055 + 13.2134i −1.20439 + 0.482164i −0.885059 0.465480i \(-0.845882\pi\)
−0.319329 + 0.947644i \(0.603458\pi\)
\(752\) 1.51864 + 0.292694i 0.0553791 + 0.0106734i
\(753\) −4.07518 + 4.40987i −0.148508 + 0.160704i
\(754\) 2.68536 2.56049i 0.0977952 0.0932475i
\(755\) 0.827833 + 1.81270i 0.0301279 + 0.0659710i
\(756\) 14.2553 13.5725i 0.518459 0.493628i
\(757\) 10.7245 + 6.89222i 0.389789 + 0.250502i 0.720827 0.693115i \(-0.243762\pi\)
−0.331038 + 0.943618i \(0.607399\pi\)
\(758\) 7.53884 13.0576i 0.273823 0.474275i
\(759\) 33.7390 + 20.7249i 1.22465 + 0.752266i
\(760\) −1.79158 3.10311i −0.0649875 0.112562i
\(761\) −0.931718 + 19.5592i −0.0337748 + 0.709020i 0.916953 + 0.398994i \(0.130641\pi\)
−0.950728 + 0.310025i \(0.899662\pi\)
\(762\) −17.2517 14.4830i −0.624962 0.524665i
\(763\) −48.7182 4.65202i −1.76372 0.168415i
\(764\) 10.0799 + 2.95973i 0.364679 + 0.107079i
\(765\) 2.55776 + 1.53303i 0.0924760 + 0.0554268i
\(766\) 8.19354 9.45585i 0.296045 0.341654i
\(767\) −20.0376 15.7577i −0.723515 0.568978i
\(768\) −0.817626 1.52692i −0.0295035 0.0550980i
\(769\) 3.82346 11.0472i 0.137878 0.398371i −0.854832 0.518906i \(-0.826340\pi\)
0.992709 + 0.120535i \(0.0384609\pi\)
\(770\) 7.86089 + 4.05257i 0.283287 + 0.146044i