Properties

Label 690.2.m.h.211.1
Level $690$
Weight $2$
Character 690.211
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 211.1
Character \(\chi\) \(=\) 690.211
Dual form 690.2.m.h.121.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.415415 - 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-0.841254 - 0.540641i) q^{5} +(0.654861 + 0.755750i) q^{6} +(-0.588355 - 4.09210i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\) \(q+(-0.415415 - 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-0.841254 - 0.540641i) q^{5} +(0.654861 + 0.755750i) q^{6} +(-0.588355 - 4.09210i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.142315 + 0.989821i) q^{10} +(1.71070 - 3.74591i) q^{11} +(0.415415 - 0.909632i) q^{12} +(-0.950503 + 6.61089i) q^{13} +(-3.47789 + 2.23511i) q^{14} +(0.959493 + 0.281733i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-1.01785 - 1.17466i) q^{17} +(-0.841254 - 0.540641i) q^{18} +(2.03851 - 2.35257i) q^{19} +(0.959493 - 0.281733i) q^{20} +(1.71740 + 3.76058i) q^{21} -4.11805 q^{22} +(-3.65046 + 3.11033i) q^{23} -1.00000 q^{24} +(0.415415 + 0.909632i) q^{25} +(6.40833 - 1.88166i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(3.47789 + 2.23511i) q^{28} +(-2.33110 - 2.69023i) q^{29} +(-0.142315 - 0.989821i) q^{30} +(-6.73851 - 1.97861i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(-0.586059 + 4.07613i) q^{33} +(-0.645678 + 1.41384i) q^{34} +(-1.71740 + 3.76058i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-9.03066 + 5.80365i) q^{37} +(-2.98680 - 0.877003i) q^{38} +(-0.950503 - 6.61089i) q^{39} +(-0.654861 - 0.755750i) q^{40} +(-8.31888 - 5.34622i) q^{41} +(2.70731 - 3.12440i) q^{42} +(-3.96316 + 1.16369i) q^{43} +(1.71070 + 3.74591i) q^{44} -1.00000 q^{45} +(4.34571 + 2.02850i) q^{46} +1.01242 q^{47} +(0.415415 + 0.909632i) q^{48} +(-9.68265 + 2.84308i) q^{49} +(0.654861 - 0.755750i) q^{50} +(1.30756 + 0.840316i) q^{51} +(-4.37373 - 5.04756i) q^{52} +(-0.927860 - 6.45341i) q^{53} +(0.959493 + 0.281733i) q^{54} +(-3.46432 + 2.22639i) q^{55} +(0.588355 - 4.09210i) q^{56} +(-1.29314 + 2.83159i) q^{57} +(-1.47875 + 3.23800i) q^{58} +(0.344016 - 2.39268i) q^{59} +(-0.841254 + 0.540641i) q^{60} +(8.74442 + 2.56759i) q^{61} +(0.999476 + 6.95151i) q^{62} +(-2.70731 - 3.12440i) q^{63} +(0.841254 + 0.540641i) q^{64} +(4.37373 - 5.04756i) q^{65} +(3.95124 - 1.16019i) q^{66} +(3.02680 + 6.62777i) q^{67} +1.55430 q^{68} +(2.62631 - 4.01279i) q^{69} +4.13418 q^{70} +(0.258490 + 0.566015i) q^{71} +(0.959493 - 0.281733i) q^{72} +(-4.71259 + 5.43862i) q^{73} +(9.03066 + 5.80365i) q^{74} +(-0.654861 - 0.755750i) q^{75} +(0.443011 + 3.08121i) q^{76} +(-16.3351 - 4.79643i) q^{77} +(-5.61863 + 3.61087i) q^{78} +(-1.65649 + 11.5212i) q^{79} +(-0.415415 + 0.909632i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-1.40731 + 9.78802i) q^{82} +(12.6674 - 8.14081i) q^{83} +(-3.96671 - 1.16473i) q^{84} +(0.221199 + 1.53848i) q^{85} +(2.70488 + 3.12160i) q^{86} +(2.99460 + 1.92451i) q^{87} +(2.69675 - 3.11221i) q^{88} +(8.17130 - 2.39931i) q^{89} +(0.415415 + 0.909632i) q^{90} +27.6117 q^{91} +(0.0399113 - 4.79567i) q^{92} +7.02299 q^{93} +(-0.420574 - 0.920928i) q^{94} +(-2.98680 + 0.877003i) q^{95} +(0.654861 - 0.755750i) q^{96} +(-1.31434 - 0.844676i) q^{97} +(6.60848 + 7.62659i) q^{98} +(-0.586059 - 4.07613i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} - 3q^{10} - 18q^{11} - 3q^{12} + 13q^{13} - 8q^{14} + 3q^{15} - 3q^{16} - 6q^{17} + 3q^{18} + 4q^{19} + 3q^{20} - 3q^{21} - 4q^{22} - 23q^{23} - 30q^{24} - 3q^{25} + 9q^{26} - 3q^{27} + 8q^{28} + 18q^{29} - 3q^{30} - 8q^{31} + 3q^{32} + 4q^{33} - 5q^{34} + 3q^{35} - 3q^{36} - 32q^{37} - 15q^{38} + 13q^{39} - 3q^{40} + 35q^{41} + 3q^{42} + 48q^{43} - 18q^{44} - 30q^{45} + q^{46} + 8q^{47} - 3q^{48} - 11q^{49} + 3q^{50} + 27q^{51} + 2q^{52} + 26q^{53} + 3q^{54} - 4q^{55} - 8q^{56} - 29q^{57} - 7q^{58} + 55q^{59} + 3q^{60} + 21q^{61} + 8q^{62} - 3q^{63} - 3q^{64} - 2q^{65} + 7q^{66} + 4q^{67} - 28q^{68} - 45q^{69} - 14q^{70} - 41q^{71} + 3q^{72} - 39q^{73} + 32q^{74} - 3q^{75} + 4q^{76} - 33q^{77} - 2q^{78} + 18q^{79} + 3q^{80} - 3q^{81} + 31q^{82} - 85q^{83} - 3q^{84} - 5q^{85} + 40q^{86} + 18q^{87} - 15q^{88} + 43q^{89} - 3q^{90} + 38q^{91} + 10q^{92} + 36q^{93} - 19q^{94} - 15q^{95} + 3q^{96} + 43q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.415415 0.909632i −0.293743 0.643207i
\(3\) −0.959493 + 0.281733i −0.553964 + 0.162658i
\(4\) −0.654861 + 0.755750i −0.327430 + 0.377875i
\(5\) −0.841254 0.540641i −0.376220 0.241782i
\(6\) 0.654861 + 0.755750i 0.267346 + 0.308533i
\(7\) −0.588355 4.09210i −0.222377 1.54667i −0.729008 0.684505i \(-0.760018\pi\)
0.506631 0.862163i \(-0.330891\pi\)
\(8\) 0.959493 + 0.281733i 0.339232 + 0.0996075i
\(9\) 0.841254 0.540641i 0.280418 0.180214i
\(10\) −0.142315 + 0.989821i −0.0450039 + 0.313009i
\(11\) 1.71070 3.74591i 0.515795 1.12943i −0.455212 0.890383i \(-0.650436\pi\)
0.971007 0.239051i \(-0.0768363\pi\)
\(12\) 0.415415 0.909632i 0.119920 0.262588i
\(13\) −0.950503 + 6.61089i −0.263622 + 1.83353i 0.241400 + 0.970426i \(0.422393\pi\)
−0.505022 + 0.863106i \(0.668516\pi\)
\(14\) −3.47789 + 2.23511i −0.929506 + 0.597357i
\(15\) 0.959493 + 0.281733i 0.247740 + 0.0727430i
\(16\) −0.142315 0.989821i −0.0355787 0.247455i
\(17\) −1.01785 1.17466i −0.246864 0.284897i 0.618771 0.785571i \(-0.287631\pi\)
−0.865636 + 0.500675i \(0.833085\pi\)
\(18\) −0.841254 0.540641i −0.198285 0.127430i
\(19\) 2.03851 2.35257i 0.467667 0.539716i −0.472095 0.881548i \(-0.656502\pi\)
0.939761 + 0.341832i \(0.111047\pi\)
\(20\) 0.959493 0.281733i 0.214549 0.0629973i
\(21\) 1.71740 + 3.76058i 0.374767 + 0.820626i
\(22\) −4.11805 −0.877971
\(23\) −3.65046 + 3.11033i −0.761173 + 0.648549i
\(24\) −1.00000 −0.204124
\(25\) 0.415415 + 0.909632i 0.0830830 + 0.181926i
\(26\) 6.40833 1.88166i 1.25678 0.369023i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 3.47789 + 2.23511i 0.657260 + 0.422395i
\(29\) −2.33110 2.69023i −0.432874 0.499563i 0.496842 0.867841i \(-0.334493\pi\)
−0.929716 + 0.368278i \(0.879947\pi\)
\(30\) −0.142315 0.989821i −0.0259830 0.180716i
\(31\) −6.73851 1.97861i −1.21027 0.355368i −0.386500 0.922289i \(-0.626316\pi\)
−0.823772 + 0.566921i \(0.808134\pi\)
\(32\) −0.841254 + 0.540641i −0.148714 + 0.0955727i
\(33\) −0.586059 + 4.07613i −0.102020 + 0.709564i
\(34\) −0.645678 + 1.41384i −0.110733 + 0.242471i
\(35\) −1.71740 + 3.76058i −0.290294 + 0.635654i
\(36\) −0.142315 + 0.989821i −0.0237191 + 0.164970i
\(37\) −9.03066 + 5.80365i −1.48463 + 0.954115i −0.487937 + 0.872879i \(0.662250\pi\)
−0.996695 + 0.0812358i \(0.974113\pi\)
\(38\) −2.98680 0.877003i −0.484523 0.142269i
\(39\) −0.950503 6.61089i −0.152202 1.05859i
\(40\) −0.654861 0.755750i −0.103543 0.119494i
\(41\) −8.31888 5.34622i −1.29919 0.834940i −0.306068 0.952010i \(-0.599013\pi\)
−0.993124 + 0.117070i \(0.962650\pi\)
\(42\) 2.70731 3.12440i 0.417747 0.482106i
\(43\) −3.96316 + 1.16369i −0.604376 + 0.177461i −0.569583 0.821934i \(-0.692895\pi\)
−0.0347927 + 0.999395i \(0.511077\pi\)
\(44\) 1.71070 + 3.74591i 0.257898 + 0.564717i
\(45\) −1.00000 −0.149071
\(46\) 4.34571 + 2.02850i 0.640740 + 0.299085i
\(47\) 1.01242 0.147676 0.0738382 0.997270i \(-0.476475\pi\)
0.0738382 + 0.997270i \(0.476475\pi\)
\(48\) 0.415415 + 0.909632i 0.0599600 + 0.131294i
\(49\) −9.68265 + 2.84308i −1.38324 + 0.406155i
\(50\) 0.654861 0.755750i 0.0926113 0.106879i
\(51\) 1.30756 + 0.840316i 0.183095 + 0.117668i
\(52\) −4.37373 5.04756i −0.606528 0.699970i
\(53\) −0.927860 6.45341i −0.127451 0.886444i −0.948768 0.315972i \(-0.897669\pi\)
0.821317 0.570472i \(-0.193240\pi\)
\(54\) 0.959493 + 0.281733i 0.130570 + 0.0383389i
\(55\) −3.46432 + 2.22639i −0.467129 + 0.300206i
\(56\) 0.588355 4.09210i 0.0786222 0.546830i
\(57\) −1.29314 + 2.83159i −0.171281 + 0.375053i
\(58\) −1.47875 + 3.23800i −0.194169 + 0.425170i
\(59\) 0.344016 2.39268i 0.0447871 0.311501i −0.955097 0.296292i \(-0.904250\pi\)
0.999884 0.0152085i \(-0.00484120\pi\)
\(60\) −0.841254 + 0.540641i −0.108605 + 0.0697964i
\(61\) 8.74442 + 2.56759i 1.11961 + 0.328747i 0.788616 0.614887i \(-0.210798\pi\)
0.330993 + 0.943633i \(0.392616\pi\)
\(62\) 0.999476 + 6.95151i 0.126934 + 0.882842i
\(63\) −2.70731 3.12440i −0.341089 0.393638i
\(64\) 0.841254 + 0.540641i 0.105157 + 0.0675801i
\(65\) 4.37373 5.04756i 0.542495 0.626072i
\(66\) 3.95124 1.16019i 0.486364 0.142809i
\(67\) 3.02680 + 6.62777i 0.369783 + 0.809712i 0.999460 + 0.0328547i \(0.0104599\pi\)
−0.629677 + 0.776857i \(0.716813\pi\)
\(68\) 1.55430 0.188486
\(69\) 2.62631 4.01279i 0.316170 0.483083i
\(70\) 4.13418 0.494129
\(71\) 0.258490 + 0.566015i 0.0306772 + 0.0671736i 0.924350 0.381545i \(-0.124608\pi\)
−0.893673 + 0.448719i \(0.851881\pi\)
\(72\) 0.959493 0.281733i 0.113077 0.0332025i
\(73\) −4.71259 + 5.43862i −0.551567 + 0.636542i −0.961248 0.275687i \(-0.911095\pi\)
0.409681 + 0.912229i \(0.365640\pi\)
\(74\) 9.03066 + 5.80365i 1.04979 + 0.674661i
\(75\) −0.654861 0.755750i −0.0756168 0.0872664i
\(76\) 0.443011 + 3.08121i 0.0508168 + 0.353439i
\(77\) −16.3351 4.79643i −1.86156 0.546603i
\(78\) −5.61863 + 3.61087i −0.636184 + 0.408851i
\(79\) −1.65649 + 11.5212i −0.186370 + 1.29623i 0.654941 + 0.755680i \(0.272693\pi\)
−0.841311 + 0.540551i \(0.818216\pi\)
\(80\) −0.415415 + 0.909632i −0.0464448 + 0.101700i
\(81\) 0.415415 0.909632i 0.0461572 0.101070i
\(82\) −1.40731 + 9.78802i −0.155411 + 1.08091i
\(83\) 12.6674 8.14081i 1.39042 0.893570i 0.390785 0.920482i \(-0.372204\pi\)
0.999638 + 0.0269115i \(0.00856724\pi\)
\(84\) −3.96671 1.16473i −0.432804 0.127083i
\(85\) 0.221199 + 1.53848i 0.0239924 + 0.166871i
\(86\) 2.70488 + 3.12160i 0.291675 + 0.336611i
\(87\) 2.99460 + 1.92451i 0.321054 + 0.206329i
\(88\) 2.69675 3.11221i 0.287474 0.331763i
\(89\) 8.17130 2.39931i 0.866156 0.254326i 0.181677 0.983358i \(-0.441848\pi\)
0.684480 + 0.729032i \(0.260029\pi\)
\(90\) 0.415415 + 0.909632i 0.0437886 + 0.0958836i
\(91\) 27.6117 2.89449
\(92\) 0.0399113 4.79567i 0.00416104 0.499983i
\(93\) 7.02299 0.728250
\(94\) −0.420574 0.920928i −0.0433789 0.0949865i
\(95\) −2.98680 + 0.877003i −0.306439 + 0.0899786i
\(96\) 0.654861 0.755750i 0.0668364 0.0771334i
\(97\) −1.31434 0.844676i −0.133451 0.0857638i 0.472212 0.881485i \(-0.343456\pi\)
−0.605663 + 0.795721i \(0.707092\pi\)
\(98\) 6.60848 + 7.62659i 0.667557 + 0.770402i
\(99\) −0.586059 4.07613i −0.0589012 0.409667i
\(100\) −0.959493 0.281733i −0.0959493 0.0281733i
\(101\) −3.52843 + 2.26759i −0.351092 + 0.225633i −0.704285 0.709917i \(-0.748732\pi\)
0.353193 + 0.935550i \(0.385096\pi\)
\(102\) 0.221199 1.53848i 0.0219020 0.152332i
\(103\) −4.51783 + 9.89267i −0.445155 + 0.974754i 0.545468 + 0.838132i \(0.316352\pi\)
−0.990623 + 0.136622i \(0.956375\pi\)
\(104\) −2.77450 + 6.07532i −0.272063 + 0.595734i
\(105\) 0.588355 4.09210i 0.0574176 0.399348i
\(106\) −5.48478 + 3.52486i −0.532729 + 0.342364i
\(107\) −7.00637 2.05726i −0.677332 0.198883i −0.0750664 0.997179i \(-0.523917\pi\)
−0.602265 + 0.798296i \(0.705735\pi\)
\(108\) −0.142315 0.989821i −0.0136943 0.0952456i
\(109\) −10.0668 11.6177i −0.964225 1.11277i −0.993572 0.113205i \(-0.963888\pi\)
0.0293468 0.999569i \(-0.490657\pi\)
\(110\) 3.46432 + 2.22639i 0.330310 + 0.212278i
\(111\) 7.02978 8.11280i 0.667237 0.770033i
\(112\) −3.96671 + 1.16473i −0.374819 + 0.110057i
\(113\) −6.51649 14.2691i −0.613020 1.34233i −0.920489 0.390768i \(-0.872209\pi\)
0.307469 0.951558i \(-0.400518\pi\)
\(114\) 3.11289 0.291549
\(115\) 4.75253 0.642989i 0.443176 0.0599591i
\(116\) 3.55968 0.330508
\(117\) 2.77450 + 6.07532i 0.256503 + 0.561663i
\(118\) −2.31937 + 0.681029i −0.213515 + 0.0626938i
\(119\) −4.20796 + 4.85625i −0.385743 + 0.445171i
\(120\) 0.841254 + 0.540641i 0.0767956 + 0.0493535i
\(121\) −3.90188 4.50300i −0.354716 0.409364i
\(122\) −1.29700 9.02082i −0.117425 0.816707i
\(123\) 9.48811 + 2.78596i 0.855514 + 0.251202i
\(124\) 5.90812 3.79692i 0.530565 0.340973i
\(125\) 0.142315 0.989821i 0.0127290 0.0885323i
\(126\) −1.71740 + 3.76058i −0.152998 + 0.335019i
\(127\) 8.38913 18.3696i 0.744414 1.63004i −0.0317389 0.999496i \(-0.510104\pi\)
0.776153 0.630544i \(-0.217168\pi\)
\(128\) 0.142315 0.989821i 0.0125790 0.0874887i
\(129\) 3.47477 2.23310i 0.305937 0.196614i
\(130\) −6.40833 1.88166i −0.562048 0.165032i
\(131\) 1.51297 + 10.5229i 0.132189 + 0.919392i 0.942693 + 0.333660i \(0.108284\pi\)
−0.810505 + 0.585732i \(0.800807\pi\)
\(132\) −2.69675 3.11221i −0.234722 0.270883i
\(133\) −10.8263 6.95764i −0.938760 0.603304i
\(134\) 4.77146 5.50655i 0.412191 0.475694i
\(135\) 0.959493 0.281733i 0.0825800 0.0242477i
\(136\) −0.645678 1.41384i −0.0553664 0.121236i
\(137\) 1.36262 0.116416 0.0582082 0.998304i \(-0.481461\pi\)
0.0582082 + 0.998304i \(0.481461\pi\)
\(138\) −4.74117 0.721999i −0.403595 0.0614607i
\(139\) 7.97454 0.676392 0.338196 0.941076i \(-0.390183\pi\)
0.338196 + 0.941076i \(0.390183\pi\)
\(140\) −1.71740 3.76058i −0.145147 0.317827i
\(141\) −0.971409 + 0.285231i −0.0818074 + 0.0240208i
\(142\) 0.407484 0.470262i 0.0341953 0.0394635i
\(143\) 23.1378 + 14.8697i 1.93488 + 1.24347i
\(144\) −0.654861 0.755750i −0.0545717 0.0629791i
\(145\) 0.506596 + 3.52345i 0.0420705 + 0.292607i
\(146\) 6.90482 + 2.02744i 0.571447 + 0.167792i
\(147\) 8.48945 5.45584i 0.700198 0.449990i
\(148\) 1.52772 10.6255i 0.125578 0.873411i
\(149\) 0.0294510 0.0644886i 0.00241272 0.00528311i −0.908422 0.418055i \(-0.862712\pi\)
0.910835 + 0.412772i \(0.135439\pi\)
\(150\) −0.415415 + 0.909632i −0.0339185 + 0.0742711i
\(151\) −0.995787 + 6.92585i −0.0810360 + 0.563618i 0.908339 + 0.418234i \(0.137351\pi\)
−0.989375 + 0.145384i \(0.953558\pi\)
\(152\) 2.61873 1.68296i 0.212407 0.136506i
\(153\) −1.49134 0.437896i −0.120567 0.0354018i
\(154\) 2.42287 + 16.8515i 0.195241 + 1.35793i
\(155\) 4.59908 + 5.30762i 0.369407 + 0.426319i
\(156\) 5.61863 + 3.61087i 0.449850 + 0.289101i
\(157\) 3.63654 4.19679i 0.290228 0.334941i −0.591847 0.806050i \(-0.701601\pi\)
0.882075 + 0.471110i \(0.156146\pi\)
\(158\) 11.1681 3.27926i 0.888490 0.260884i
\(159\) 2.70841 + 5.93059i 0.214791 + 0.470327i
\(160\) 1.00000 0.0790569
\(161\) 14.8755 + 13.1081i 1.17236 + 1.03306i
\(162\) −1.00000 −0.0785674
\(163\) −10.0381 21.9804i −0.786246 1.72164i −0.687095 0.726567i \(-0.741115\pi\)
−0.0991509 0.995072i \(-0.531613\pi\)
\(164\) 9.48811 2.78596i 0.740897 0.217547i
\(165\) 2.69675 3.11221i 0.209942 0.242286i
\(166\) −12.6674 8.14081i −0.983177 0.631850i
\(167\) −5.23177 6.03778i −0.404847 0.467218i 0.516315 0.856399i \(-0.327303\pi\)
−0.921161 + 0.389181i \(0.872758\pi\)
\(168\) 0.588355 + 4.09210i 0.0453926 + 0.315712i
\(169\) −30.3270 8.90482i −2.33285 0.684987i
\(170\) 1.30756 0.840316i 0.100285 0.0644493i
\(171\) 0.443011 3.08121i 0.0338779 0.235626i
\(172\) 1.71586 3.75721i 0.130833 0.286484i
\(173\) −1.04105 + 2.27959i −0.0791497 + 0.173314i −0.945070 0.326869i \(-0.894006\pi\)
0.865920 + 0.500183i \(0.166734\pi\)
\(174\) 0.506596 3.52345i 0.0384049 0.267112i
\(175\) 3.47789 2.23511i 0.262904 0.168958i
\(176\) −3.95124 1.16019i −0.297836 0.0874525i
\(177\) 0.344016 + 2.39268i 0.0258578 + 0.179845i
\(178\) −5.57697 6.43617i −0.418012 0.482411i
\(179\) −16.1333 10.3683i −1.20586 0.774961i −0.225901 0.974150i \(-0.572533\pi\)
−0.979961 + 0.199189i \(0.936169\pi\)
\(180\) 0.654861 0.755750i 0.0488104 0.0563302i
\(181\) 15.7806 4.63360i 1.17296 0.344413i 0.363505 0.931592i \(-0.381580\pi\)
0.809457 + 0.587180i \(0.199762\pi\)
\(182\) −11.4703 25.1164i −0.850235 1.86175i
\(183\) −9.11358 −0.673696
\(184\) −4.37887 + 1.95589i −0.322815 + 0.144190i
\(185\) 10.7348 0.789236
\(186\) −2.91746 6.38834i −0.213918 0.468416i
\(187\) −6.14140 + 1.80328i −0.449103 + 0.131869i
\(188\) −0.662993 + 0.765135i −0.0483538 + 0.0558032i
\(189\) 3.47789 + 2.23511i 0.252979 + 0.162580i
\(190\) 2.03851 + 2.35257i 0.147889 + 0.170673i
\(191\) 0.944967 + 6.57239i 0.0683754 + 0.475561i 0.995024 + 0.0996332i \(0.0317669\pi\)
−0.926649 + 0.375928i \(0.877324\pi\)
\(192\) −0.959493 0.281733i −0.0692454 0.0203323i
\(193\) 1.15563 0.742677i 0.0831839 0.0534591i −0.498388 0.866954i \(-0.666074\pi\)
0.581572 + 0.813495i \(0.302438\pi\)
\(194\) −0.222347 + 1.54646i −0.0159636 + 0.111029i
\(195\) −2.77450 + 6.07532i −0.198686 + 0.435063i
\(196\) 4.19213 9.17949i 0.299438 0.655678i
\(197\) −0.286779 + 1.99460i −0.0204322 + 0.142109i −0.997484 0.0708932i \(-0.977415\pi\)
0.977052 + 0.213002i \(0.0683241\pi\)
\(198\) −3.46432 + 2.22639i −0.246199 + 0.158222i
\(199\) −10.0722 2.95746i −0.713998 0.209649i −0.0954939 0.995430i \(-0.530443\pi\)
−0.618505 + 0.785781i \(0.712261\pi\)
\(200\) 0.142315 + 0.989821i 0.0100632 + 0.0699909i
\(201\) −4.77146 5.50655i −0.336553 0.388402i
\(202\) 3.52843 + 2.26759i 0.248260 + 0.159547i
\(203\) −9.63717 + 11.1219i −0.676396 + 0.780603i
\(204\) −1.49134 + 0.437896i −0.104414 + 0.0306588i
\(205\) 4.10790 + 8.99506i 0.286908 + 0.628242i
\(206\) 10.8755 0.757730
\(207\) −1.38939 + 4.59016i −0.0965693 + 0.319038i
\(208\) 6.67887 0.463097
\(209\) −5.32522 11.6606i −0.368353 0.806581i
\(210\) −3.96671 + 1.16473i −0.273729 + 0.0803742i
\(211\) 10.6711 12.3151i 0.734630 0.847808i −0.258355 0.966050i \(-0.583180\pi\)
0.992985 + 0.118242i \(0.0377258\pi\)
\(212\) 5.48478 + 3.52486i 0.376696 + 0.242088i
\(213\) −0.407484 0.470262i −0.0279204 0.0322218i
\(214\) 1.03921 + 7.22784i 0.0710387 + 0.494085i
\(215\) 3.96316 + 1.16369i 0.270285 + 0.0793628i
\(216\) −0.841254 + 0.540641i −0.0572401 + 0.0367859i
\(217\) −4.13201 + 28.7388i −0.280499 + 1.95092i
\(218\) −6.38594 + 13.9833i −0.432510 + 0.947066i
\(219\) 2.98946 6.54601i 0.202009 0.442338i
\(220\) 0.586059 4.07613i 0.0395121 0.274813i
\(221\) 8.73301 5.61236i 0.587446 0.377528i
\(222\) −10.2999 3.02433i −0.691286 0.202980i
\(223\) −1.77710 12.3600i −0.119003 0.827685i −0.958657 0.284563i \(-0.908151\pi\)
0.839654 0.543122i \(-0.182758\pi\)
\(224\) 2.70731 + 3.12440i 0.180890 + 0.208758i
\(225\) 0.841254 + 0.540641i 0.0560836 + 0.0360427i
\(226\) −10.2726 + 11.8552i −0.683323 + 0.788597i
\(227\) 6.01000 1.76470i 0.398898 0.117127i −0.0761296 0.997098i \(-0.524256\pi\)
0.475028 + 0.879971i \(0.342438\pi\)
\(228\) −1.29314 2.83159i −0.0856404 0.187526i
\(229\) 24.2957 1.60550 0.802751 0.596314i \(-0.203369\pi\)
0.802751 + 0.596314i \(0.203369\pi\)
\(230\) −2.55916 4.05595i −0.168746 0.267441i
\(231\) 17.0247 1.12015
\(232\) −1.47875 3.23800i −0.0970844 0.212585i
\(233\) −0.144385 + 0.0423954i −0.00945900 + 0.00277741i −0.286459 0.958093i \(-0.592478\pi\)
0.277000 + 0.960870i \(0.410660\pi\)
\(234\) 4.37373 5.04756i 0.285920 0.329969i
\(235\) −0.851701 0.547355i −0.0555588 0.0357055i
\(236\) 1.58299 + 1.82686i 0.103044 + 0.118919i
\(237\) −1.65649 11.5212i −0.107601 0.748379i
\(238\) 6.16545 + 1.81034i 0.399647 + 0.117347i
\(239\) 14.9118 9.58325i 0.964566 0.619889i 0.0393078 0.999227i \(-0.487485\pi\)
0.925258 + 0.379338i \(0.123848\pi\)
\(240\) 0.142315 0.989821i 0.00918638 0.0638927i
\(241\) −0.481717 + 1.05481i −0.0310301 + 0.0679465i −0.924512 0.381152i \(-0.875527\pi\)
0.893482 + 0.449098i \(0.148255\pi\)
\(242\) −2.47518 + 5.41989i −0.159111 + 0.348403i
\(243\) −0.142315 + 0.989821i −0.00912950 + 0.0634971i
\(244\) −7.66684 + 4.92718i −0.490819 + 0.315430i
\(245\) 9.68265 + 2.84308i 0.618602 + 0.181638i
\(246\) −1.40731 9.78802i −0.0897265 0.624062i
\(247\) 13.6150 + 15.7125i 0.866299 + 0.999763i
\(248\) −5.90812 3.79692i −0.375166 0.241104i
\(249\) −9.86071 + 11.3799i −0.624897 + 0.721169i
\(250\) −0.959493 + 0.281733i −0.0606837 + 0.0178183i
\(251\) −10.1422 22.2083i −0.640170 1.40178i −0.899900 0.436096i \(-0.856361\pi\)
0.259730 0.965681i \(-0.416366\pi\)
\(252\) 4.13418 0.260429
\(253\) 5.40618 + 18.9951i 0.339883 + 1.19421i
\(254\) −20.1946 −1.26712
\(255\) −0.645678 1.41384i −0.0404339 0.0885379i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) −17.5814 + 20.2900i −1.09670 + 1.26565i −0.135204 + 0.990818i \(0.543169\pi\)
−0.961491 + 0.274836i \(0.911376\pi\)
\(258\) −3.47477 2.23310i −0.216330 0.139027i
\(259\) 29.0624 + 33.5397i 1.80585 + 2.08406i
\(260\) 0.950503 + 6.61089i 0.0589477 + 0.409990i
\(261\) −3.41549 1.00288i −0.211414 0.0620766i
\(262\) 8.94348 5.74763i 0.552530 0.355089i
\(263\) 1.74630 12.1458i 0.107682 0.748943i −0.862411 0.506209i \(-0.831047\pi\)
0.970093 0.242734i \(-0.0780443\pi\)
\(264\) −1.71070 + 3.74591i −0.105286 + 0.230545i
\(265\) −2.70841 + 5.93059i −0.166376 + 0.364313i
\(266\) −1.83149 + 12.7383i −0.112296 + 0.781033i
\(267\) −7.16434 + 4.60424i −0.438451 + 0.281775i
\(268\) −6.99107 2.05276i −0.427048 0.125393i
\(269\) 1.93518 + 13.4594i 0.117990 + 0.820637i 0.959764 + 0.280807i \(0.0906022\pi\)
−0.841774 + 0.539830i \(0.818489\pi\)
\(270\) −0.654861 0.755750i −0.0398536 0.0459935i
\(271\) 16.2613 + 10.4505i 0.987802 + 0.634822i 0.931557 0.363595i \(-0.118451\pi\)
0.0562452 + 0.998417i \(0.482087\pi\)
\(272\) −1.01785 + 1.17466i −0.0617161 + 0.0712241i
\(273\) −26.4932 + 7.77910i −1.60344 + 0.470813i
\(274\) −0.566052 1.23948i −0.0341965 0.0748798i
\(275\) 4.11805 0.248328
\(276\) 1.31280 + 4.61265i 0.0790213 + 0.277649i
\(277\) −7.06148 −0.424283 −0.212142 0.977239i \(-0.568044\pi\)
−0.212142 + 0.977239i \(0.568044\pi\)
\(278\) −3.31274 7.25390i −0.198685 0.435060i
\(279\) −6.73851 + 1.97861i −0.403424 + 0.118456i
\(280\) −2.70731 + 3.12440i −0.161793 + 0.186719i
\(281\) −26.7908 17.2174i −1.59820 1.02710i −0.968091 0.250600i \(-0.919372\pi\)
−0.630113 0.776503i \(-0.716992\pi\)
\(282\) 0.662993 + 0.765135i 0.0394807 + 0.0455631i
\(283\) −4.44778 30.9350i −0.264393 1.83890i −0.498750 0.866746i \(-0.666208\pi\)
0.234357 0.972151i \(-0.424702\pi\)
\(284\) −0.597041 0.175307i −0.0354278 0.0104026i
\(285\) 2.61873 1.68296i 0.155120 0.0996898i
\(286\) 3.91422 27.2240i 0.231453 1.60979i
\(287\) −16.9828 + 37.1872i −1.00246 + 2.19509i
\(288\) −0.415415 + 0.909632i −0.0244786 + 0.0536006i
\(289\) 2.07554 14.4357i 0.122091 0.849160i
\(290\) 2.99460 1.92451i 0.175849 0.113011i
\(291\) 1.49907 + 0.440168i 0.0878773 + 0.0258031i
\(292\) −1.02414 7.12308i −0.0599335 0.416847i
\(293\) 10.5111 + 12.1305i 0.614066 + 0.708669i 0.974569 0.224089i \(-0.0719405\pi\)
−0.360503 + 0.932758i \(0.617395\pi\)
\(294\) −8.48945 5.45584i −0.495115 0.318191i
\(295\) −1.58299 + 1.82686i −0.0921651 + 0.106364i
\(296\) −10.2999 + 3.02433i −0.598672 + 0.175786i
\(297\) 1.71070 + 3.74591i 0.0992648 + 0.217360i
\(298\) −0.0708953 −0.00410685
\(299\) −17.0923 27.0892i −0.988473 1.56661i
\(300\) 1.00000 0.0577350
\(301\) 7.09367 + 15.5330i 0.408872 + 0.895305i
\(302\) 6.71364 1.97130i 0.386326 0.113436i
\(303\) 2.74665 3.16981i 0.157791 0.182101i
\(304\) −2.61873 1.68296i −0.150195 0.0965242i
\(305\) −5.96813 6.88759i −0.341734 0.394382i
\(306\) 0.221199 + 1.53848i 0.0126451 + 0.0879488i
\(307\) 16.5158 + 4.84948i 0.942608 + 0.276775i 0.716706 0.697375i \(-0.245649\pi\)
0.225902 + 0.974150i \(0.427467\pi\)
\(308\) 14.3221 9.20427i 0.816079 0.524462i
\(309\) 1.54774 10.7648i 0.0880479 0.612386i
\(310\) 2.91746 6.38834i 0.165700 0.362833i
\(311\) 1.15249 2.52360i 0.0653518 0.143101i −0.874138 0.485678i \(-0.838573\pi\)
0.939490 + 0.342578i \(0.111300\pi\)
\(312\) 0.950503 6.61089i 0.0538116 0.374268i
\(313\) −14.4709 + 9.29991i −0.817946 + 0.525662i −0.881427 0.472321i \(-0.843416\pi\)
0.0634804 + 0.997983i \(0.479780\pi\)
\(314\) −5.32821 1.56450i −0.300688 0.0882901i
\(315\) 0.588355 + 4.09210i 0.0331500 + 0.230564i
\(316\) −7.62234 8.79664i −0.428790 0.494850i
\(317\) 2.32519 + 1.49431i 0.130596 + 0.0839288i 0.604308 0.796751i \(-0.293450\pi\)
−0.473712 + 0.880680i \(0.657086\pi\)
\(318\) 4.26954 4.92732i 0.239424 0.276310i
\(319\) −14.0652 + 4.12990i −0.787497 + 0.231230i
\(320\) −0.415415 0.909632i −0.0232224 0.0508500i
\(321\) 7.30216 0.407567
\(322\) 5.74398 18.9766i 0.320100 1.05752i
\(323\) −4.83836 −0.269213
\(324\) 0.415415 + 0.909632i 0.0230786 + 0.0505351i
\(325\) −6.40833 + 1.88166i −0.355470 + 0.104376i
\(326\) −15.8241 + 18.2620i −0.876416 + 1.01144i
\(327\) 12.9321 + 8.31096i 0.715147 + 0.459597i
\(328\) −6.47571 7.47336i −0.357561 0.412647i
\(329\) −0.595661 4.14292i −0.0328399 0.228406i
\(330\) −3.95124 1.16019i −0.217509 0.0638663i
\(331\) 12.0186 7.72386i 0.660599 0.424541i −0.166926 0.985969i \(-0.553384\pi\)
0.827526 + 0.561428i \(0.189748\pi\)
\(332\) −2.14294 + 14.9044i −0.117609 + 0.817988i
\(333\) −4.45938 + 9.76469i −0.244373 + 0.535102i
\(334\) −3.31881 + 7.26717i −0.181597 + 0.397642i
\(335\) 1.03694 7.21205i 0.0566539 0.394036i
\(336\) 3.47789 2.23511i 0.189735 0.121935i
\(337\) −5.31951 1.56195i −0.289772 0.0850849i 0.133616 0.991033i \(-0.457341\pi\)
−0.423388 + 0.905948i \(0.639159\pi\)
\(338\) 4.49820 + 31.2857i 0.244670 + 1.70172i
\(339\) 10.2726 + 11.8552i 0.557931 + 0.643887i
\(340\) −1.30756 0.840316i −0.0709122 0.0455725i
\(341\) −18.9392 + 21.8571i −1.02562 + 1.18363i
\(342\) −2.98680 + 0.877003i −0.161508 + 0.0474229i
\(343\) 5.30922 + 11.6256i 0.286671 + 0.627722i
\(344\) −4.13047 −0.222700
\(345\) −4.37887 + 1.95589i −0.235750 + 0.105301i
\(346\) 2.50605 0.134726
\(347\) 2.13797 + 4.68151i 0.114772 + 0.251317i 0.958297 0.285774i \(-0.0922506\pi\)
−0.843525 + 0.537091i \(0.819523\pi\)
\(348\) −3.41549 + 1.00288i −0.183089 + 0.0537599i
\(349\) 5.49002 6.33582i 0.293874 0.339149i −0.589542 0.807737i \(-0.700692\pi\)
0.883416 + 0.468589i \(0.155237\pi\)
\(350\) −3.47789 2.23511i −0.185901 0.119471i
\(351\) −4.37373 5.04756i −0.233453 0.269419i
\(352\) 0.586059 + 4.07613i 0.0312371 + 0.217259i
\(353\) 30.5074 + 8.95779i 1.62375 + 0.476775i 0.962022 0.272972i \(-0.0880067\pi\)
0.661724 + 0.749747i \(0.269825\pi\)
\(354\) 2.03355 1.30688i 0.108082 0.0694601i
\(355\) 0.0885548 0.615912i 0.00470000 0.0326892i
\(356\) −3.53779 + 7.74667i −0.187502 + 0.410573i
\(357\) 2.66935 5.84506i 0.141277 0.309353i
\(358\) −2.72928 + 18.9825i −0.144247 + 1.00326i
\(359\) −22.2744 + 14.3149i −1.17560 + 0.755512i −0.974572 0.224073i \(-0.928064\pi\)
−0.201028 + 0.979586i \(0.564428\pi\)
\(360\) −0.959493 0.281733i −0.0505697 0.0148486i
\(361\) 1.32494 + 9.21514i 0.0697335 + 0.485007i
\(362\) −10.7704 12.4297i −0.566078 0.653288i
\(363\) 5.01246 + 3.22132i 0.263086 + 0.169075i
\(364\) −18.0818 + 20.8675i −0.947743 + 1.09375i
\(365\) 6.90482 2.02744i 0.361415 0.106121i
\(366\) 3.78592 + 8.29001i 0.197893 + 0.433326i
\(367\) −17.5654 −0.916908 −0.458454 0.888718i \(-0.651597\pi\)
−0.458454 + 0.888718i \(0.651597\pi\)
\(368\) 3.59819 + 3.17066i 0.187568 + 0.165282i
\(369\) −9.88868 −0.514784
\(370\) −4.45938 9.76469i −0.231832 0.507642i
\(371\) −25.8621 + 7.59379i −1.34269 + 0.394250i
\(372\) −4.59908 + 5.30762i −0.238451 + 0.275187i
\(373\) −1.03916 0.667825i −0.0538054 0.0345787i 0.513462 0.858113i \(-0.328363\pi\)
−0.567267 + 0.823534i \(0.691999\pi\)
\(374\) 4.19155 + 4.83730i 0.216740 + 0.250131i
\(375\) 0.142315 + 0.989821i 0.00734911 + 0.0511142i
\(376\) 0.971409 + 0.285231i 0.0500966 + 0.0147097i
\(377\) 20.0005 12.8536i 1.03008 0.661992i
\(378\) 0.588355 4.09210i 0.0302617 0.210475i
\(379\) −4.24855 + 9.30303i −0.218233 + 0.477864i −0.986808 0.161896i \(-0.948239\pi\)
0.768575 + 0.639760i \(0.220966\pi\)
\(380\) 1.29314 2.83159i 0.0663368 0.145257i
\(381\) −2.87399 + 19.9890i −0.147239 + 1.02407i
\(382\) 5.58590 3.58984i 0.285800 0.183672i
\(383\) 34.8626 + 10.2366i 1.78139 + 0.523064i 0.995454 0.0952388i \(-0.0303615\pi\)
0.785940 + 0.618303i \(0.212180\pi\)
\(384\) 0.142315 + 0.989821i 0.00726247 + 0.0505116i
\(385\) 11.1488 + 12.8664i 0.568197 + 0.655735i
\(386\) −1.15563 0.742677i −0.0588199 0.0378013i
\(387\) −2.70488 + 3.12160i −0.137497 + 0.158680i
\(388\) 1.49907 0.440168i 0.0761039 0.0223461i
\(389\) −9.61441 21.0526i −0.487470 1.06741i −0.980341 0.197308i \(-0.936780\pi\)
0.492871 0.870102i \(-0.335947\pi\)
\(390\) 6.67887 0.338198
\(391\) 7.36919 + 1.12220i 0.372676 + 0.0567521i
\(392\) −10.0914 −0.509694
\(393\) −4.41633 9.67042i −0.222775 0.487808i
\(394\) 1.93348 0.567721i 0.0974073 0.0286014i
\(395\) 7.62234 8.79664i 0.383521 0.442607i
\(396\) 3.46432 + 2.22639i 0.174089 + 0.111880i
\(397\) −19.2154 22.1757i −0.964392 1.11297i −0.993550 0.113393i \(-0.963828\pi\)
0.0291586 0.999575i \(-0.490717\pi\)
\(398\) 1.49394 + 10.3906i 0.0748843 + 0.520832i
\(399\) 12.3480 + 3.62569i 0.618171 + 0.181511i
\(400\) 0.841254 0.540641i 0.0420627 0.0270320i
\(401\) −2.86416 + 19.9207i −0.143029 + 0.994791i 0.784256 + 0.620437i \(0.213045\pi\)
−0.927286 + 0.374354i \(0.877864\pi\)
\(402\) −3.02680 + 6.62777i −0.150963 + 0.330563i
\(403\) 19.4853 42.6669i 0.970633 2.12539i
\(404\) 0.596905 4.15156i 0.0296971 0.206548i
\(405\) −0.841254 + 0.540641i −0.0418022 + 0.0268647i
\(406\) 14.1202 + 4.14608i 0.700776 + 0.205766i
\(407\) 6.29121 + 43.7563i 0.311844 + 2.16892i
\(408\) 1.01785 + 1.17466i 0.0503910 + 0.0581543i
\(409\) 0.0555562 + 0.0357038i 0.00274708 + 0.00176544i 0.542014 0.840370i \(-0.317662\pi\)
−0.539267 + 0.842135i \(0.681298\pi\)
\(410\) 6.47571 7.47336i 0.319812 0.369083i
\(411\) −1.30742 + 0.383894i −0.0644904 + 0.0189361i
\(412\) −4.51783 9.89267i −0.222578 0.487377i
\(413\) −9.99350 −0.491748
\(414\) 4.75253 0.642989i 0.233574 0.0316012i
\(415\) −15.0577 −0.739154
\(416\) −2.77450 6.07532i −0.136031 0.297867i
\(417\) −7.65152 + 2.24669i −0.374696 + 0.110021i
\(418\) −8.39469 + 9.68799i −0.410598 + 0.473855i
\(419\) 0.313354 + 0.201380i 0.0153083 + 0.00983808i 0.548273 0.836300i \(-0.315286\pi\)
−0.532964 + 0.846138i \(0.678922\pi\)
\(420\) 2.70731 + 3.12440i 0.132103 + 0.152455i
\(421\) 3.27394 + 22.7707i 0.159562 + 1.10978i 0.899443 + 0.437039i \(0.143973\pi\)
−0.739881 + 0.672738i \(0.765118\pi\)
\(422\) −15.6352 4.59090i −0.761109 0.223482i
\(423\) 0.851701 0.547355i 0.0414111 0.0266133i
\(424\) 0.927860 6.45341i 0.0450609 0.313405i
\(425\) 0.645678 1.41384i 0.0313200 0.0685812i
\(426\) −0.258490 + 0.566015i −0.0125239 + 0.0274235i
\(427\) 5.36202 37.2937i 0.259486 1.80477i
\(428\) 6.14297 3.94785i 0.296932 0.190826i
\(429\) −26.3898 7.74875i −1.27411 0.374113i
\(430\) −0.587827 4.08843i −0.0283475 0.197161i
\(431\) 4.09594 + 4.72696i 0.197294 + 0.227690i 0.845773 0.533543i \(-0.179140\pi\)
−0.648478 + 0.761233i \(0.724594\pi\)
\(432\) 0.841254 + 0.540641i 0.0404748 + 0.0260116i
\(433\) 24.7910 28.6103i 1.19138 1.37492i 0.281755 0.959486i \(-0.409083\pi\)
0.909622 0.415436i \(-0.136371\pi\)
\(434\) 27.8582 8.17991i 1.33724 0.392648i
\(435\) −1.47875 3.23800i −0.0709004 0.155250i
\(436\) 15.3724 0.736206
\(437\) −0.124240 + 14.9284i −0.00594319 + 0.714122i
\(438\) −7.19632 −0.343854
\(439\) −1.39784 3.06084i −0.0667152 0.146086i 0.873337 0.487117i \(-0.161951\pi\)
−0.940052 + 0.341031i \(0.889224\pi\)
\(440\) −3.95124 + 1.16019i −0.188368 + 0.0553098i
\(441\) −6.60848 + 7.62659i −0.314690 + 0.363171i
\(442\) −8.73301 5.61236i −0.415387 0.266953i
\(443\) −19.4716 22.4714i −0.925122 1.06765i −0.997528 0.0702725i \(-0.977613\pi\)
0.0724058 0.997375i \(-0.476932\pi\)
\(444\) 1.52772 + 10.6255i 0.0725022 + 0.504264i
\(445\) −8.17130 2.39931i −0.387357 0.113738i
\(446\) −10.5048 + 6.75102i −0.497416 + 0.319670i
\(447\) −0.0100895 + 0.0701737i −0.000477215 + 0.00331910i
\(448\) 1.71740 3.76058i 0.0811395 0.177671i
\(449\) −15.2745 + 33.4465i −0.720848 + 1.57844i 0.0918638 + 0.995772i \(0.470718\pi\)
−0.812712 + 0.582666i \(0.802010\pi\)
\(450\) 0.142315 0.989821i 0.00670879 0.0466606i
\(451\) −34.2576 + 22.0160i −1.61313 + 1.03669i
\(452\) 15.0513 + 4.41945i 0.707953 + 0.207874i
\(453\) −0.995787 6.92585i −0.0467861 0.325405i
\(454\) −4.10187 4.73381i −0.192510 0.222169i
\(455\) −23.2284 14.9280i −1.08896 0.699835i
\(456\) −2.03851 + 2.35257i −0.0954620 + 0.110169i
\(457\) −5.99798 + 1.76117i −0.280574 + 0.0823839i −0.418992 0.907990i \(-0.637616\pi\)
0.138418 + 0.990374i \(0.455798\pi\)
\(458\) −10.0928 22.1001i −0.471605 1.03267i
\(459\) 1.55430 0.0725483
\(460\) −2.62631 + 4.01279i −0.122452 + 0.187097i
\(461\) 13.7881 0.642177 0.321089 0.947049i \(-0.395951\pi\)
0.321089 + 0.947049i \(0.395951\pi\)
\(462\) −7.07234 15.4863i −0.329035 0.720486i
\(463\) −2.63688 + 0.774257i −0.122546 + 0.0359828i −0.342431 0.939543i \(-0.611250\pi\)
0.219884 + 0.975526i \(0.429432\pi\)
\(464\) −2.33110 + 2.69023i −0.108218 + 0.124891i
\(465\) −5.90812 3.79692i −0.273982 0.176078i
\(466\) 0.0985440 + 0.113726i 0.00456496 + 0.00526825i
\(467\) −2.54852 17.7254i −0.117932 0.820232i −0.959827 0.280592i \(-0.909469\pi\)
0.841896 0.539640i \(-0.181440\pi\)
\(468\) −6.40833 1.88166i −0.296225 0.0869796i
\(469\) 25.3407 16.2855i 1.17012 0.751993i
\(470\) −0.144082 + 1.00211i −0.00664602 + 0.0462241i
\(471\) −2.30686 + 5.05133i −0.106295 + 0.232753i
\(472\) 1.00418 2.19884i 0.0462210 0.101210i
\(473\) −2.42070 + 16.8363i −0.111304 + 0.774136i
\(474\) −9.79188 + 6.29286i −0.449756 + 0.289041i
\(475\) 2.98680 + 0.877003i 0.137044 + 0.0402397i
\(476\) −0.914478 6.36033i −0.0419150 0.291525i
\(477\) −4.26954 4.92732i −0.195489 0.225606i
\(478\) −14.9118 9.58325i −0.682051 0.438328i
\(479\) 25.9018 29.8922i 1.18348 1.36581i 0.268016 0.963415i \(-0.413632\pi\)
0.915466 0.402396i \(-0.131822\pi\)
\(480\) −0.959493 + 0.281733i −0.0437947 + 0.0128593i
\(481\) −29.7837 65.2171i −1.35802 2.97365i
\(482\) 1.15960 0.0528186
\(483\) −17.9659 8.38616i −0.817479 0.381584i
\(484\) 5.95833 0.270833
\(485\) 0.649028 + 1.42117i 0.0294708 + 0.0645321i
\(486\) 0.959493 0.281733i 0.0435235 0.0127796i
\(487\) −0.298755 + 0.344781i −0.0135379 + 0.0156235i −0.762478 0.647014i \(-0.776018\pi\)
0.748940 + 0.662638i \(0.230563\pi\)
\(488\) 7.66684 + 4.92718i 0.347061 + 0.223043i
\(489\) 15.8241 + 18.2620i 0.715591 + 0.825836i
\(490\) −1.43616 9.98871i −0.0648791 0.451244i
\(491\) −21.9761 6.45277i −0.991769 0.291210i −0.254695 0.967022i \(-0.581975\pi\)
−0.737074 + 0.675812i \(0.763793\pi\)
\(492\) −8.31888 + 5.34622i −0.375044 + 0.241026i
\(493\) −0.787399 + 5.47648i −0.0354627 + 0.246648i
\(494\) 8.63674 18.9118i 0.388585 0.850883i
\(495\) −1.71070 + 3.74591i −0.0768902 + 0.168366i
\(496\) −0.999476 + 6.95151i −0.0448778 + 0.312132i
\(497\) 2.16410 1.39079i 0.0970733 0.0623852i
\(498\) 14.4478 + 4.24225i 0.647420 + 0.190100i
\(499\) −0.765534 5.32440i −0.0342700 0.238353i 0.965486 0.260456i \(-0.0838729\pi\)
−0.999756 + 0.0221030i \(0.992964\pi\)
\(500\) 0.654861 + 0.755750i 0.0292863 + 0.0337981i
\(501\) 6.72089 + 4.31925i 0.300267 + 0.192970i
\(502\) −15.9882 + 18.4513i −0.713587 + 0.823524i
\(503\) −39.6936 + 11.6551i −1.76985 + 0.519675i −0.993819 0.111017i \(-0.964589\pi\)
−0.776033 + 0.630692i \(0.782771\pi\)
\(504\) −1.71740 3.76058i −0.0764991 0.167510i
\(505\) 4.19425 0.186642
\(506\) 15.0328 12.8085i 0.668288 0.569407i
\(507\) 31.6074 1.40373
\(508\) 8.38913 + 18.3696i 0.372207 + 0.815020i
\(509\) −17.3856 + 5.10487i −0.770603 + 0.226269i −0.643320 0.765597i \(-0.722444\pi\)
−0.127283 + 0.991866i \(0.540626\pi\)
\(510\) −1.01785 + 1.17466i −0.0450710 + 0.0520148i
\(511\) 25.0280 + 16.0845i 1.10718 + 0.711538i
\(512\) 0.654861 + 0.755750i 0.0289410 + 0.0333997i
\(513\) 0.443011 + 3.08121i 0.0195594 + 0.136039i
\(514\) 25.7600 + 7.56381i 1.13622 + 0.333625i
\(515\) 9.14902 5.87972i 0.403154 0.259091i
\(516\) −0.587827 + 4.08843i −0.0258776 + 0.179983i
\(517\) 1.73194 3.79243i 0.0761708 0.166791i
\(518\) 18.4359 40.3690i 0.810026 1.77371i
\(519\) 0.356649 2.48055i 0.0156551 0.108884i
\(520\) 5.61863 3.61087i 0.246393 0.158347i
\(521\) −17.4114 5.11244i −0.762805 0.223980i −0.122885 0.992421i \(-0.539215\pi\)
−0.639921 + 0.768441i \(0.721033\pi\)
\(522\) 0.506596 + 3.52345i 0.0221731 + 0.154217i
\(523\) 1.35109 + 1.55924i 0.0590790 + 0.0681808i 0.784520 0.620104i \(-0.212910\pi\)
−0.725441 + 0.688285i \(0.758364\pi\)
\(524\) −8.94348 5.74763i −0.390698 0.251086i
\(525\) −2.70731 + 3.12440i −0.118157 + 0.136360i
\(526\) −11.7737 + 3.45706i −0.513356 + 0.150735i
\(527\) 4.53459 + 9.92937i 0.197530 + 0.432530i
\(528\) 4.11805 0.179215
\(529\) 3.65169 22.7083i 0.158769 0.987316i
\(530\) 6.51977 0.283201
\(531\) −1.00418 2.19884i −0.0435776 0.0954216i
\(532\) 12.3480 3.62569i 0.535352 0.157193i
\(533\) 43.2504 49.9137i 1.87338 2.16200i
\(534\) 7.16434 + 4.60424i 0.310032 + 0.199245i
\(535\) 4.78190 + 5.51861i 0.206740 + 0.238590i
\(536\) 1.03694 + 7.21205i 0.0447888 + 0.311513i
\(537\) 18.4009 + 5.40299i 0.794058 + 0.233156i
\(538\) 11.4392 7.35156i 0.493181 0.316948i
\(539\) −5.91418 + 41.1340i −0.254742 + 1.77177i
\(540\) −0.415415 + 0.909632i −0.0178766 + 0.0391443i
\(541\) −5.44020 + 11.9124i −0.233892 + 0.512153i −0.989789 0.142538i \(-0.954474\pi\)
0.755897 + 0.654690i \(0.227201\pi\)
\(542\) 2.75092 19.1331i 0.118162 0.821836i
\(543\) −13.8359 + 8.89181i −0.593756 + 0.381584i
\(544\) 1.49134 + 0.437896i 0.0639405 + 0.0187746i
\(545\) 2.18773 + 15.2160i 0.0937119 + 0.651780i
\(546\) 18.0818 + 20.8675i 0.773829 + 0.893047i
\(547\) 26.7602 + 17.1977i 1.14418 + 0.735321i 0.968472 0.249121i \(-0.0801416\pi\)
0.175710 + 0.984442i \(0.443778\pi\)
\(548\) −0.892325 + 1.02980i −0.0381182 + 0.0439908i
\(549\) 8.74442 2.56759i 0.373203 0.109582i
\(550\) −1.71070 3.74591i −0.0729445 0.159726i
\(551\) −11.0809 −0.472063
\(552\) 3.65046 3.11033i 0.155374 0.132384i
\(553\) 48.1203 2.04628
\(554\) 2.93344 + 6.42335i 0.124630 + 0.272902i
\(555\) −10.2999 + 3.02433i −0.437208 + 0.128376i
\(556\) −5.22221 + 6.02676i −0.221471 + 0.255591i
\(557\) −1.80566 1.16043i −0.0765083 0.0491689i 0.501827 0.864968i \(-0.332661\pi\)
−0.578336 + 0.815799i \(0.696298\pi\)
\(558\) 4.59908 + 5.30762i 0.194695 + 0.224690i
\(559\) −3.92602 27.3061i −0.166053 1.15492i
\(560\) 3.96671 + 1.16473i 0.167624 + 0.0492189i
\(561\) 5.38458 3.46046i 0.227337 0.146101i
\(562\) −4.53220 + 31.5221i −0.191179 + 1.32968i
\(563\) 4.27396 9.35866i 0.180126 0.394420i −0.797934 0.602745i \(-0.794074\pi\)
0.978060 + 0.208324i \(0.0668010\pi\)
\(564\) 0.420574 0.920928i 0.0177094 0.0387781i
\(565\) −2.23245 + 15.5270i −0.0939199 + 0.653227i
\(566\) −26.2918 + 16.8967i −1.10513 + 0.710222i
\(567\) −3.96671 1.16473i −0.166586 0.0489142i
\(568\) 0.0885548 + 0.615912i 0.00371568 + 0.0258431i
\(569\) 3.15835 + 3.64493i 0.132405 + 0.152804i 0.818080 0.575104i \(-0.195038\pi\)
−0.685675 + 0.727908i \(0.740493\pi\)
\(570\) −2.61873 1.68296i −0.109687 0.0704913i
\(571\) 4.71324 5.43937i 0.197243 0.227631i −0.648509 0.761207i \(-0.724607\pi\)
0.845752 + 0.533577i \(0.179152\pi\)
\(572\) −26.3898 + 7.74875i −1.10341 + 0.323992i
\(573\) −2.75834 6.03993i −0.115231 0.252322i
\(574\) 40.8815 1.70636
\(575\) −4.34571 2.02850i −0.181229 0.0845941i
\(576\) 1.00000 0.0416667
\(577\) 15.3677 + 33.6505i 0.639764 + 1.40089i 0.900234 + 0.435406i \(0.143395\pi\)
−0.260470 + 0.965482i \(0.583877\pi\)
\(578\) −13.9934 + 4.10883i −0.582049 + 0.170905i
\(579\) −0.899580 + 1.03817i −0.0373853 + 0.0431449i
\(580\) −2.99460 1.92451i −0.124344 0.0799109i
\(581\) −40.7659 47.0464i −1.69125 1.95181i
\(582\) −0.222347 1.54646i −0.00921658 0.0641027i
\(583\) −25.7612 7.56416i −1.06692 0.313276i
\(584\) −6.05393 + 3.89063i −0.250514 + 0.160995i
\(585\) 0.950503 6.61089i 0.0392985 0.273327i
\(586\) 6.66779 14.6004i 0.275444 0.603138i
\(587\) −3.71825 + 8.14182i −0.153468 + 0.336049i −0.970713 0.240242i \(-0.922773\pi\)
0.817245 + 0.576291i \(0.195500\pi\)
\(588\) −1.43616 + 9.98871i −0.0592262 + 0.411928i
\(589\) −18.3913 + 11.8194i −0.757802 + 0.487010i
\(590\) 2.31937 + 0.681029i 0.0954870 + 0.0280375i
\(591\) −0.286779 1.99460i −0.0117965 0.0820467i
\(592\) 7.02978 + 8.11280i 0.288922 + 0.333434i
\(593\) 8.64769 + 5.55753i 0.355118 + 0.228220i 0.706020 0.708192i \(-0.250489\pi\)
−0.350902 + 0.936412i \(0.614125\pi\)
\(594\) 2.69675 3.11221i 0.110649 0.127696i
\(595\) 6.16545 1.81034i 0.252759 0.0742167i
\(596\) 0.0294510 + 0.0644886i 0.00120636 + 0.00264156i
\(597\) 10.4974 0.429630
\(598\) −17.5408 + 26.8009i −0.717296 + 1.09597i
\(599\) 41.3573 1.68981 0.844907 0.534913i \(-0.179656\pi\)
0.844907 + 0.534913i \(0.179656\pi\)
\(600\) −0.415415 0.909632i −0.0169592 0.0371356i
\(601\) −34.2011 + 10.0424i −1.39509 + 0.409637i −0.890996 0.454010i \(-0.849993\pi\)
−0.504097 + 0.863647i \(0.668175\pi\)
\(602\) 11.1825 12.9053i 0.455763 0.525979i
\(603\) 6.12955 + 3.93923i 0.249615 + 0.160418i
\(604\) −4.58211 5.28803i −0.186443 0.215167i
\(605\) 0.847959 + 5.89768i 0.0344744 + 0.239775i
\(606\) −4.02436 1.18166i −0.163478 0.0480016i
\(607\) 25.1692 16.1753i 1.02159 0.656535i 0.0812211 0.996696i \(-0.474118\pi\)
0.940367 + 0.340161i \(0.110482\pi\)
\(608\) −0.443011 + 3.08121i −0.0179665 + 0.124959i
\(609\) 6.11340 13.3865i 0.247727 0.542447i
\(610\) −3.78592 + 8.29001i −0.153287 + 0.335653i
\(611\) −0.962307 + 6.69299i −0.0389308 + 0.270769i
\(612\) 1.30756 0.840316i 0.0528549 0.0339678i
\(613\) 22.6122 + 6.63954i 0.913298 + 0.268168i 0.704428 0.709775i \(-0.251203\pi\)
0.208870 + 0.977944i \(0.433022\pi\)
\(614\) −2.44968 17.0379i −0.0988609 0.687593i
\(615\) −6.47571 7.47336i −0.261126 0.301355i
\(616\) −14.3221 9.20427i −0.577055 0.370851i
\(617\) 25.4519 29.3730i 1.02465 1.18251i 0.0416114 0.999134i \(-0.486751\pi\)
0.983042 0.183379i \(-0.0587037\pi\)
\(618\) −10.4349 + 3.06397i −0.419755 + 0.123251i
\(619\) 4.22932 + 9.26092i 0.169991 + 0.372228i 0.975384 0.220513i \(-0.0707732\pi\)
−0.805393 + 0.592741i \(0.798046\pi\)
\(620\) −7.02299 −0.282050
\(621\) 0.0399113 4.79567i 0.00160159 0.192443i
\(622\) −2.77431 −0.111240
\(623\) −14.6258 32.0261i −0.585972 1.28310i
\(624\) −6.40833 + 1.88166i −0.256539 + 0.0753265i
\(625\) −0.654861 + 0.755750i −0.0261944 + 0.0302300i
\(626\) 14.4709 + 9.29991i 0.578375 + 0.371699i
\(627\) 8.39469 + 9.68799i 0.335252 + 0.386901i
\(628\) 0.790296 + 5.49663i 0.0315363 + 0.219339i
\(629\) 16.0091 + 4.70071i 0.638326 + 0.187430i
\(630\) 3.47789 2.23511i 0.138563 0.0890487i
\(631\) 0.819206 5.69770i 0.0326121 0.226822i −0.966997 0.254789i \(-0.917994\pi\)
0.999609 + 0.0279667i \(0.00890323\pi\)
\(632\) −4.83528 + 10.5878i −0.192337 + 0.421159i
\(633\) −6.76929 + 14.8227i −0.269055 + 0.589149i
\(634\) 0.393353 2.73583i 0.0156220 0.108654i
\(635\) −16.9887 + 10.9180i −0.674178 + 0.433268i
\(636\) −6.25568 1.83683i −0.248054 0.0728351i
\(637\) −9.59193 66.7134i −0.380046 2.64328i
\(638\) 9.59957 + 11.0785i 0.380051 + 0.438602i
\(639\) 0.523467 + 0.336412i 0.0207080 + 0.0133082i
\(640\) −0.654861 + 0.755750i −0.0258856 + 0.0298736i
\(641\) −1.68187 + 0.493842i −0.0664299 + 0.0195056i −0.314779 0.949165i \(-0.601930\pi\)
0.248349 + 0.968671i \(0.420112\pi\)
\(642\) −3.03343 6.64228i −0.119720 0.262150i
\(643\) −5.79881 −0.228683 −0.114341 0.993442i \(-0.536476\pi\)
−0.114341 + 0.993442i \(0.536476\pi\)
\(644\) −19.6478 + 2.65823i −0.774232 + 0.104749i
\(645\) −4.13047 −0.162637
\(646\) 2.00993 + 4.40112i 0.0790795 + 0.173160i
\(647\) 2.80155 0.822609i 0.110140 0.0323401i −0.226198 0.974081i \(-0.572630\pi\)
0.336338 + 0.941741i \(0.390811\pi\)
\(648\) 0.654861 0.755750i 0.0257254 0.0296886i
\(649\) −8.37427 5.38182i −0.328719 0.211255i
\(650\) 4.37373 + 5.04756i 0.171552 + 0.197981i
\(651\) −4.13201 28.7388i −0.161946 1.12636i
\(652\) 23.1853 + 6.80781i 0.908005 + 0.266614i
\(653\) 12.3088 7.91039i 0.481681 0.309557i −0.277171 0.960821i \(-0.589397\pi\)
0.758852 + 0.651263i \(0.225761\pi\)
\(654\) 2.18773 15.2160i 0.0855468 0.594991i
\(655\) 4.41633 9.67042i 0.172560 0.377855i
\(656\) −4.10790 + 8.99506i −0.160387 + 0.351198i
\(657\) −1.02414 + 7.12308i −0.0399557 + 0.277898i
\(658\) −3.52108 + 2.26286i −0.137266 + 0.0882156i
\(659\) 5.08161 + 1.49209i 0.197951 + 0.0581238i 0.379205 0.925313i \(-0.376197\pi\)
−0.181254 + 0.983436i \(0.558016\pi\)
\(660\) 0.586059 + 4.07613i 0.0228123 + 0.158663i
\(661\) −8.20829 9.47287i −0.319265 0.368452i 0.573319 0.819332i \(-0.305656\pi\)
−0.892584 + 0.450880i \(0.851110\pi\)
\(662\) −12.0186 7.72386i −0.467114 0.300196i
\(663\) −6.79808 + 7.84540i −0.264015 + 0.304690i
\(664\) 14.4478 4.24225i 0.560682 0.164631i
\(665\) 5.34608 + 11.7063i 0.207312 + 0.453950i
\(666\) 10.7348 0.415964
\(667\) 16.8771 + 2.57009i 0.653483 + 0.0995142i
\(668\) 7.98913 0.309109
\(669\) 5.18732 + 11.3586i 0.200553 + 0.439150i
\(670\) −6.99107 + 2.05276i −0.270089 + 0.0793052i
\(671\) 24.5770 28.3634i 0.948786 1.09496i
\(672\) −3.47789 2.23511i −0.134163 0.0862211i
\(673\) −2.53897 2.93012i −0.0978700 0.112948i 0.704702 0.709504i \(-0.251081\pi\)
−0.802572 + 0.596556i \(0.796535\pi\)
\(674\) 0.789006 + 5.48766i 0.0303914 + 0.211377i
\(675\) −0.959493 0.281733i −0.0369309 0.0108439i
\(676\) 26.5898 17.0882i 1.02269 0.657240i
\(677\) 3.21789 22.3809i 0.123673 0.860167i −0.829665 0.558262i \(-0.811468\pi\)
0.953338 0.301905i \(-0.0976226\pi\)
\(678\) 6.51649 14.2691i 0.250264 0.548002i
\(679\) −2.68320 + 5.87538i −0.102972 + 0.225476i
\(680\) −0.221199 + 1.53848i −0.00848261 + 0.0589978i
\(681\) −5.26938 + 3.38643i −0.201923 + 0.129768i
\(682\) 27.7495 + 8.14799i 1.06258 + 0.312003i
\(683\) −2.33450 16.2368i −0.0893270 0.621283i −0.984476 0.175517i \(-0.943840\pi\)
0.895149 0.445766i \(-0.147069\pi\)
\(684\) 2.03851 + 2.35257i 0.0779444 + 0.0899527i
\(685\) −1.14631 0.736687i −0.0437982 0.0281474i
\(686\) 8.36946 9.65887i 0.319547 0.368777i
\(687\) −23.3115 + 6.84488i −0.889390 + 0.261148i
\(688\) 1.71586 + 3.75721i 0.0654165 + 0.143242i
\(689\) 43.5447 1.65892
\(690\) 3.59819 + 3.17066i 0.136981 + 0.120705i
\(691\) 3.67109 0.139655 0.0698274 0.997559i \(-0.477755\pi\)
0.0698274 + 0.997559i \(0.477755\pi\)
\(692\) −1.04105 2.27959i −0.0395749 0.0866569i
\(693\) −16.3351 + 4.79643i −0.620520 + 0.182201i
\(694\) 3.37031 3.88954i 0.127935 0.147645i
\(695\) −6.70861 4.31136i −0.254472 0.163539i
\(696\) 2.33110 + 2.69023i 0.0883600 + 0.101973i
\(697\) 2.18737 + 15.2135i 0.0828525 + 0.576252i
\(698\) −8.04390 2.36190i −0.304466 0.0893994i
\(699\) 0.126593 0.0813561i 0.00478817 0.00307717i
\(700\) −0.588355 + 4.09210i −0.0222377 + 0.154667i
\(701\) −4.85377 + 10.6283i −0.183324 + 0.401424i −0.978874 0.204464i \(-0.934455\pi\)
0.795550 + 0.605888i \(0.207182\pi\)
\(702\) −2.77450 + 6.07532i −0.104717 + 0.229298i
\(703\) −4.75562 + 33.0761i −0.179362 + 1.24749i
\(704\) 3.46432 2.22639i 0.130567 0.0839101i
\(705\) 0.971409 + 0.285231i 0.0365854 + 0.0107424i
\(706\) −4.52495 31.4717i −0.170299 1.18445i
\(707\) 11.3552 + 13.1045i 0.427054 + 0.492847i
\(708\) −2.03355 1.30688i −0.0764256 0.0491157i
\(709\) 2.74995 3.17362i 0.103277 0.119188i −0.701758 0.712415i \(-0.747601\pi\)
0.805035 + 0.593228i \(0.202147\pi\)
\(710\) −0.597041 + 0.175307i −0.0224065 + 0.00657915i
\(711\) 4.83528 + 10.5878i 0.181337 + 0.397073i
\(712\) 8.51627 0.319161
\(713\) 30.7528 13.7362i 1.15170 0.514424i
\(714\) −6.42574 −0.240477
\(715\) −11.4255 25.0185i −0.427291 0.935637i
\(716\) 18.4009 5.40299i 0.687674 0.201919i
\(717\) −11.6079 + 13.3962i −0.433504 + 0.500290i
\(718\) 22.2744 + 14.3149i 0.831275 + 0.534228i
\(719\) −29.1285 33.6161i −1.08631 1.25367i −0.965335 0.261015i \(-0.915943\pi\)
−0.120977 0.992655i \(-0.538603\pi\)
\(720\) 0.142315 + 0.989821i 0.00530376 + 0.0368885i
\(721\) 43.1399 + 12.6670i 1.60661 + 0.471744i
\(722\) 7.83199 5.03331i 0.291476 0.187320i
\(723\) 0.165029 1.14780i 0.00613749 0.0426872i
\(724\) −6.83225 + 14.9605i −0.253918 + 0.556004i
\(725\) 1.47875 3.23800i 0.0549192 0.120256i
\(726\) 0.847959 5.89768i 0.0314707 0.218883i
\(727\) −5.85473 + 3.76261i −0.217140 + 0.139547i −0.644689 0.764445i \(-0.723013\pi\)
0.427550 + 0.903992i \(0.359377\pi\)
\(728\) 26.4932 + 7.77910i 0.981903 + 0.288313i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −4.71259 5.43862i −0.174421 0.201292i
\(731\) 5.40082 + 3.47090i 0.199757 + 0.128376i
\(732\) 5.96813 6.88759i 0.220588 0.254573i
\(733\) −7.49462 + 2.20062i −0.276820 + 0.0812817i −0.417196 0.908817i \(-0.636987\pi\)
0.140376 + 0.990098i \(0.455169\pi\)
\(734\) 7.29695 + 15.9781i 0.269335 + 0.589762i
\(735\) −10.0914 −0.372228
\(736\) 1.38939 4.59016i 0.0512136 0.169196i
\(737\) 30.0050 1.10525
\(738\) 4.10790 + 8.99506i 0.151214 + 0.331113i
\(739\) 36.3039 10.6598i 1.33546 0.392127i 0.465413 0.885094i \(-0.345906\pi\)
0.870048 + 0.492967i \(0.164088\pi\)
\(740\) −7.02978 + 8.11280i −0.258420 + 0.298232i
\(741\) −17.4902 11.2403i −0.642518 0.412921i
\(742\) 17.6511 + 20.3704i 0.647990 + 0.747821i
\(743\) 5.45157 + 37.9165i 0.199999 + 1.39102i 0.804279 + 0.594251i \(0.202552\pi\)
−0.604281 + 0.796772i \(0.706539\pi\)
\(744\) 6.73851 + 1.97861i 0.247046 + 0.0725392i
\(745\) −0.0596409 + 0.0383289i −0.00218507 + 0.00140426i
\(746\) −0.175794 + 1.22267i −0.00643627 + 0.0447653i
\(747\) 6.25520 13.6970i 0.228866 0.501146i
\(748\) 2.65893 5.82225i 0.0972202 0.212883i
\(749\) −4.29626 + 29.8812i −0.156982 + 1.09183i
\(750\) 0.841254 0.540641i 0.0307182 0.0197414i
\(751\) −3.67194 1.07818i −0.133991 0.0393433i 0.214049 0.976823i \(-0.431335\pi\)
−0.348041 + 0.937479i \(0.613153\pi\)
\(752\) −0.144082 1.00211i −0.00525414 0.0365433i
\(753\) 15.9882 + 18.4513i 0.582642 + 0.672404i
\(754\) −20.0005 12.8536i −0.728376 0.468099i
\(755\) 4.58211 5.28803i 0.166760 0.192451i
\(756\) −3.96671 + 1.16473i −0.144268 + 0.0423609i
\(757\) −20.2901 44.4292i −0.737457 1.61480i −0.787693 0.616068i \(-0.788725\pi\)
0.0502366 0.998737i \(-0.484002\pi\)
\(758\) 10.2272 0.371470
\(759\) −10.5387 16.7026i −0.382532 0.606266i
\(760\) −3.11289 −0.112916
\(761\) −13.8019 30.2220i −0.500319 1.09555i −0.976366 0.216126i \(-0.930658\pi\)
0.476046 0.879420i \(-0.342069\pi\)
\(762\) 19.3765 5.68947i 0.701938 0.206108i
\(763\) −41.6180 + 48.0297i −1.50667 + 1.73879i
\(764\) −5.58590 3.58984i −0.202091 0.129876i
\(765\) 1.01785 + 1.17466i 0.0368004 + 0.0424699i
\(766\) −5.17092 35.9645i −0.186833 1.29945i
\(767\) 15.4908 + 4.54851i 0.559340 + 0.164237i
\(768\) 0.841254 0.540641i 0.0303561 0.0195087i
\(769\) −6.70228 + 46.6154i −0.241690 + 1.68099i 0.401947 + 0.915663i \(0.368334\pi\)
−0.643638 + 0.765330i \(0.722576\pi\)
\(770\) 7.07234 15.4863i 0.254869 0.558086i
\(771\) 11.1528 24.4213i 0.401660 0.879513i
\(772\) −0.195498 + 1.35972i −0.00703611 + 0.0489372i
\(773\) 6.76800 4.34953i 0.243428 0.156442i −0.413238 0.910623i \(-0.635602\pi\)
0.656666 +