Properties

Label 546.2.u.a.185.7
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.7
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.685609 + 1.59058i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.587127 - 1.01693i) q^{5} +(1.38904 - 1.03468i) q^{6} +(-1.73688 + 1.99580i) q^{7} -1.00000i q^{8} +(-2.05988 - 2.18103i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.685609 + 1.59058i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.587127 - 1.01693i) q^{5} +(1.38904 - 1.03468i) q^{6} +(-1.73688 + 1.99580i) q^{7} -1.00000i q^{8} +(-2.05988 - 2.18103i) q^{9} +1.17425i q^{10} +0.918984i q^{11} +(-1.72029 + 0.201534i) q^{12} +(-0.207654 - 3.59957i) q^{13} +(2.50209 - 0.859975i) q^{14} +(2.02005 - 0.236653i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.08618 - 1.88131i) q^{17} +(0.693394 + 2.91877i) q^{18} +0.0298751i q^{19} +(0.587127 - 1.01693i) q^{20} +(-1.98366 - 4.13099i) q^{21} +(0.459492 - 0.795863i) q^{22} +(-2.48855 - 1.43677i) q^{23} +(1.59058 + 0.685609i) q^{24} +(1.81056 - 3.13599i) q^{25} +(-1.61995 + 3.22114i) q^{26} +(4.88137 - 1.78107i) q^{27} +(-2.59686 - 0.506284i) q^{28} +(-0.0565664 + 0.0326586i) q^{29} +(-1.86774 - 0.805079i) q^{30} +(3.64262 + 2.10307i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-1.46172 - 0.630064i) q^{33} +2.17235i q^{34} +(3.04937 + 0.594506i) q^{35} +(0.858887 - 2.87442i) q^{36} +(1.47158 - 2.54886i) q^{37} +(0.0149376 - 0.0258726i) q^{38} +(5.86776 + 2.13761i) q^{39} +(-1.01693 + 0.587127i) q^{40} +(-4.01799 - 6.95937i) q^{41} +(-0.347597 + 4.56937i) q^{42} +(2.74795 - 4.75959i) q^{43} +(-0.795863 + 0.459492i) q^{44} +(-1.00855 + 3.37530i) q^{45} +(1.43677 + 2.48855i) q^{46} +(-6.53683 - 11.3221i) q^{47} +(-1.03468 - 1.38904i) q^{48} +(-0.966466 - 6.93296i) q^{49} +(-3.13599 + 1.81056i) q^{50} +(3.73707 - 0.437804i) q^{51} +(3.01349 - 1.97962i) q^{52} +(1.75697 + 1.01439i) q^{53} +(-5.11793 - 0.898236i) q^{54} +(0.934545 - 0.539560i) q^{55} +(1.99580 + 1.73688i) q^{56} +(-0.0475187 - 0.0204827i) q^{57} +0.0653172 q^{58} +(-1.80579 - 3.12771i) q^{59} +(1.21497 + 1.63109i) q^{60} -0.759641i q^{61} +(-2.10307 - 3.64262i) q^{62} +(7.93068 - 0.322921i) q^{63} -1.00000 q^{64} +(-3.53860 + 2.32457i) q^{65} +(0.950851 + 1.27651i) q^{66} -13.0820 q^{67} +(1.08618 - 1.88131i) q^{68} +(3.99146 - 2.97318i) q^{69} +(-2.34358 - 2.03954i) q^{70} +(8.16075 + 4.71161i) q^{71} +(-2.18103 + 2.05988i) q^{72} +(-2.34499 - 1.35388i) q^{73} +(-2.54886 + 1.47158i) q^{74} +(3.74670 + 5.02991i) q^{75} +(-0.0258726 + 0.0149376i) q^{76} +(-1.83411 - 1.59617i) q^{77} +(-4.01283 - 4.78510i) q^{78} +(3.71017 + 6.42620i) q^{79} +1.17425 q^{80} +(-0.513784 + 8.98532i) q^{81} +8.03598i q^{82} -11.8735 q^{83} +(2.58571 - 3.78340i) q^{84} +(-1.27545 + 2.20914i) q^{85} +(-4.75959 + 2.74795i) q^{86} +(-0.0131637 - 0.112364i) q^{87} +0.918984 q^{88} +(-5.01737 + 8.69033i) q^{89} +(2.56108 - 2.41882i) q^{90} +(7.54470 + 5.83759i) q^{91} -2.87353i q^{92} +(-5.84251 + 4.35199i) q^{93} +13.0737i q^{94} +(0.0303810 - 0.0175405i) q^{95} +(0.201534 + 1.72029i) q^{96} +(-8.74505 - 5.04896i) q^{97} +(-2.62950 + 6.48735i) q^{98} +(2.00433 - 1.89300i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + O(q^{10}) \) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + 2 q^{13} + 12 q^{15} - 38 q^{16} - 8 q^{21} - 42 q^{25} + 20 q^{28} + 20 q^{30} + 12 q^{31} - 4 q^{36} - 6 q^{37} + 12 q^{39} + 8 q^{42} - 2 q^{43} - 4 q^{46} + 2 q^{49} + 10 q^{51} - 14 q^{52} + 18 q^{54} + 24 q^{55} + 8 q^{57} + 16 q^{58} - 12 q^{60} + 32 q^{63} - 76 q^{64} - 24 q^{66} + 96 q^{67} - 30 q^{69} - 54 q^{73} - 12 q^{75} + 18 q^{76} - 12 q^{78} - 60 q^{79} + 8 q^{81} + 8 q^{84} + 8 q^{85} - 24 q^{87} + 48 q^{91} + 16 q^{93} - 66 q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −0.685609 + 1.59058i −0.395837 + 0.918321i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.587127 1.01693i −0.262571 0.454786i 0.704353 0.709850i \(-0.251237\pi\)
−0.966924 + 0.255063i \(0.917904\pi\)
\(6\) 1.38904 1.03468i 0.567075 0.422405i
\(7\) −1.73688 + 1.99580i −0.656481 + 0.754343i
\(8\) 1.00000i 0.353553i
\(9\) −2.05988 2.18103i −0.686627 0.727010i
\(10\) 1.17425i 0.371332i
\(11\) 0.918984i 0.277084i 0.990357 + 0.138542i \(0.0442416\pi\)
−0.990357 + 0.138542i \(0.955758\pi\)
\(12\) −1.72029 + 0.201534i −0.496604 + 0.0581780i
\(13\) −0.207654 3.59957i −0.0575928 0.998340i
\(14\) 2.50209 0.859975i 0.668711 0.229838i
\(15\) 2.02005 0.236653i 0.521575 0.0611034i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.08618 1.88131i −0.263436 0.456285i 0.703716 0.710481i \(-0.251523\pi\)
−0.967153 + 0.254196i \(0.918189\pi\)
\(18\) 0.693394 + 2.91877i 0.163435 + 0.687960i
\(19\) 0.0298751i 0.00685382i 0.999994 + 0.00342691i \(0.00109082\pi\)
−0.999994 + 0.00342691i \(0.998909\pi\)
\(20\) 0.587127 1.01693i 0.131286 0.227393i
\(21\) −1.98366 4.13099i −0.432870 0.901456i
\(22\) 0.459492 0.795863i 0.0979640 0.169679i
\(23\) −2.48855 1.43677i −0.518899 0.299586i 0.217585 0.976041i \(-0.430182\pi\)
−0.736484 + 0.676455i \(0.763515\pi\)
\(24\) 1.59058 + 0.685609i 0.324675 + 0.139949i
\(25\) 1.81056 3.13599i 0.362113 0.627198i
\(26\) −1.61995 + 3.22114i −0.317698 + 0.631718i
\(27\) 4.88137 1.78107i 0.939421 0.342767i
\(28\) −2.59686 0.506284i −0.490760 0.0956787i
\(29\) −0.0565664 + 0.0326586i −0.0105041 + 0.00606455i −0.505243 0.862977i \(-0.668597\pi\)
0.494739 + 0.869042i \(0.335264\pi\)
\(30\) −1.86774 0.805079i −0.341002 0.146987i
\(31\) 3.64262 + 2.10307i 0.654234 + 0.377722i 0.790076 0.613008i \(-0.210041\pi\)
−0.135843 + 0.990730i \(0.543374\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −1.46172 0.630064i −0.254452 0.109680i
\(34\) 2.17235i 0.372555i
\(35\) 3.04937 + 0.594506i 0.515438 + 0.100490i
\(36\) 0.858887 2.87442i 0.143148 0.479071i
\(37\) 1.47158 2.54886i 0.241927 0.419029i −0.719336 0.694662i \(-0.755554\pi\)
0.961263 + 0.275633i \(0.0888873\pi\)
\(38\) 0.0149376 0.0258726i 0.00242319 0.00419709i
\(39\) 5.86776 + 2.13761i 0.939594 + 0.342291i
\(40\) −1.01693 + 0.587127i −0.160791 + 0.0928329i
\(41\) −4.01799 6.95937i −0.627505 1.08687i −0.988051 0.154129i \(-0.950743\pi\)
0.360546 0.932742i \(-0.382590\pi\)
\(42\) −0.347597 + 4.56937i −0.0536353 + 0.705070i
\(43\) 2.74795 4.75959i 0.419059 0.725831i −0.576786 0.816895i \(-0.695693\pi\)
0.995845 + 0.0910640i \(0.0290268\pi\)
\(44\) −0.795863 + 0.459492i −0.119981 + 0.0692710i
\(45\) −1.00855 + 3.37530i −0.150346 + 0.503160i
\(46\) 1.43677 + 2.48855i 0.211840 + 0.366917i
\(47\) −6.53683 11.3221i −0.953495 1.65150i −0.737774 0.675047i \(-0.764123\pi\)
−0.215721 0.976455i \(-0.569210\pi\)
\(48\) −1.03468 1.38904i −0.149343 0.200491i
\(49\) −0.966466 6.93296i −0.138067 0.990423i
\(50\) −3.13599 + 1.81056i −0.443496 + 0.256052i
\(51\) 3.73707 0.437804i 0.523294 0.0613048i
\(52\) 3.01349 1.97962i 0.417896 0.274523i
\(53\) 1.75697 + 1.01439i 0.241339 + 0.139337i 0.615792 0.787909i \(-0.288836\pi\)
−0.374453 + 0.927246i \(0.622170\pi\)
\(54\) −5.11793 0.898236i −0.696462 0.122234i
\(55\) 0.934545 0.539560i 0.126014 0.0727542i
\(56\) 1.99580 + 1.73688i 0.266701 + 0.232101i
\(57\) −0.0475187 0.0204827i −0.00629401 0.00271299i
\(58\) 0.0653172 0.00857657
\(59\) −1.80579 3.12771i −0.235093 0.407194i 0.724206 0.689583i \(-0.242206\pi\)
−0.959300 + 0.282389i \(0.908873\pi\)
\(60\) 1.21497 + 1.63109i 0.156852 + 0.210573i
\(61\) 0.759641i 0.0972621i −0.998817 0.0486310i \(-0.984514\pi\)
0.998817 0.0486310i \(-0.0154859\pi\)
\(62\) −2.10307 3.64262i −0.267090 0.462613i
\(63\) 7.93068 0.322921i 0.999172 0.0406842i
\(64\) −1.00000 −0.125000
\(65\) −3.53860 + 2.32457i −0.438909 + 0.288328i
\(66\) 0.950851 + 1.27651i 0.117042 + 0.157127i
\(67\) −13.0820 −1.59822 −0.799112 0.601182i \(-0.794697\pi\)
−0.799112 + 0.601182i \(0.794697\pi\)
\(68\) 1.08618 1.88131i 0.131718 0.228143i
\(69\) 3.99146 2.97318i 0.480516 0.357928i
\(70\) −2.34358 2.03954i −0.280111 0.243772i
\(71\) 8.16075 + 4.71161i 0.968503 + 0.559166i 0.898780 0.438401i \(-0.144455\pi\)
0.0697237 + 0.997566i \(0.477788\pi\)
\(72\) −2.18103 + 2.05988i −0.257037 + 0.242759i
\(73\) −2.34499 1.35388i −0.274460 0.158460i 0.356453 0.934313i \(-0.383986\pi\)
−0.630913 + 0.775854i \(0.717319\pi\)
\(74\) −2.54886 + 1.47158i −0.296298 + 0.171068i
\(75\) 3.74670 + 5.02991i 0.432632 + 0.580804i
\(76\) −0.0258726 + 0.0149376i −0.00296779 + 0.00171346i
\(77\) −1.83411 1.59617i −0.209016 0.181900i
\(78\) −4.01283 4.78510i −0.454363 0.541806i
\(79\) 3.71017 + 6.42620i 0.417427 + 0.723004i 0.995680 0.0928534i \(-0.0295988\pi\)
−0.578253 + 0.815857i \(0.696265\pi\)
\(80\) 1.17425 0.131286
\(81\) −0.513784 + 8.98532i −0.0570871 + 0.998369i
\(82\) 8.03598i 0.887426i
\(83\) −11.8735 −1.30329 −0.651645 0.758524i \(-0.725921\pi\)
−0.651645 + 0.758524i \(0.725921\pi\)
\(84\) 2.58571 3.78340i 0.282125 0.412802i
\(85\) −1.27545 + 2.20914i −0.138342 + 0.239615i
\(86\) −4.75959 + 2.74795i −0.513240 + 0.296319i
\(87\) −0.0131637 0.112364i −0.00141129 0.0120467i
\(88\) 0.918984 0.0979640
\(89\) −5.01737 + 8.69033i −0.531840 + 0.921174i 0.467469 + 0.884009i \(0.345166\pi\)
−0.999309 + 0.0371643i \(0.988168\pi\)
\(90\) 2.56108 2.41882i 0.269962 0.254966i
\(91\) 7.54470 + 5.83759i 0.790899 + 0.611946i
\(92\) 2.87353i 0.299586i
\(93\) −5.84251 + 4.35199i −0.605840 + 0.451280i
\(94\) 13.0737i 1.34845i
\(95\) 0.0303810 0.0175405i 0.00311703 0.00179962i
\(96\) 0.201534 + 1.72029i 0.0205690 + 0.175576i
\(97\) −8.74505 5.04896i −0.887925 0.512644i −0.0146618 0.999893i \(-0.504667\pi\)
−0.873263 + 0.487249i \(0.838001\pi\)
\(98\) −2.62950 + 6.48735i −0.265619 + 0.655322i
\(99\) 2.00433 1.89300i 0.201443 0.190253i
\(100\) 3.62113 0.362113
\(101\) −8.84955 −0.880563 −0.440282 0.897860i \(-0.645121\pi\)
−0.440282 + 0.897860i \(0.645121\pi\)
\(102\) −3.45530 1.48938i −0.342125 0.147471i
\(103\) 8.65368 4.99621i 0.852673 0.492291i −0.00887895 0.999961i \(-0.502826\pi\)
0.861552 + 0.507670i \(0.169493\pi\)
\(104\) −3.59957 + 0.207654i −0.352967 + 0.0203621i
\(105\) −3.03628 + 4.44266i −0.296311 + 0.433560i
\(106\) −1.01439 1.75697i −0.0985261 0.170652i
\(107\) −3.54160 2.04475i −0.342380 0.197673i 0.318944 0.947774i \(-0.396672\pi\)
−0.661324 + 0.750100i \(0.730005\pi\)
\(108\) 3.98314 + 3.33686i 0.383277 + 0.321089i
\(109\) 3.22047 5.57802i 0.308465 0.534277i −0.669562 0.742756i \(-0.733518\pi\)
0.978027 + 0.208479i \(0.0668514\pi\)
\(110\) −1.07912 −0.102890
\(111\) 3.04523 + 4.08819i 0.289040 + 0.388033i
\(112\) −0.859975 2.50209i −0.0812600 0.236425i
\(113\) 18.3720 + 10.6071i 1.72829 + 0.997828i 0.897081 + 0.441865i \(0.145683\pi\)
0.831207 + 0.555963i \(0.187650\pi\)
\(114\) 0.0309111 + 0.0414979i 0.00289509 + 0.00388663i
\(115\) 3.37425i 0.314651i
\(116\) −0.0565664 0.0326586i −0.00525206 0.00303228i
\(117\) −7.42302 + 7.86758i −0.686259 + 0.727358i
\(118\) 3.61157i 0.332472i
\(119\) 5.64129 + 1.09983i 0.517136 + 0.100821i
\(120\) −0.236653 2.02005i −0.0216033 0.184405i
\(121\) 10.1555 0.923224
\(122\) −0.379821 + 0.657869i −0.0343873 + 0.0595606i
\(123\) 13.8242 1.61953i 1.24649 0.146028i
\(124\) 4.20614i 0.377722i
\(125\) −10.1234 −0.905464
\(126\) −7.02963 3.68568i −0.626249 0.328347i
\(127\) 0.00158663 + 0.00274813i 0.000140791 + 0.000243857i 0.866096 0.499878i \(-0.166622\pi\)
−0.865955 + 0.500122i \(0.833289\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 5.68649 + 7.63405i 0.500667 + 0.672141i
\(130\) 4.22680 0.243838i 0.370715 0.0213860i
\(131\) 3.60456 + 6.24329i 0.314932 + 0.545478i 0.979423 0.201818i \(-0.0646849\pi\)
−0.664491 + 0.747296i \(0.731352\pi\)
\(132\) −0.185207 1.58091i −0.0161202 0.137601i
\(133\) −0.0596249 0.0518896i −0.00517013 0.00449940i
\(134\) 11.3294 + 6.54101i 0.978708 + 0.565057i
\(135\) −4.67721 3.91832i −0.402550 0.337235i
\(136\) −1.88131 + 1.08618i −0.161321 + 0.0931388i
\(137\) −17.8232 + 10.2902i −1.52273 + 0.879151i −0.523096 + 0.852274i \(0.675223\pi\)
−0.999639 + 0.0268778i \(0.991443\pi\)
\(138\) −4.94330 + 0.579116i −0.420801 + 0.0492976i
\(139\) −5.48328 3.16577i −0.465085 0.268517i 0.249095 0.968479i \(-0.419867\pi\)
−0.714180 + 0.699962i \(0.753200\pi\)
\(140\) 1.00983 + 2.93809i 0.0853461 + 0.248314i
\(141\) 22.4905 2.63480i 1.89404 0.221890i
\(142\) −4.71161 8.16075i −0.395390 0.684835i
\(143\) 3.30794 0.190830i 0.276624 0.0159580i
\(144\) 2.91877 0.693394i 0.243231 0.0577828i
\(145\) 0.0664233 + 0.0383495i 0.00551615 + 0.00318475i
\(146\) 1.35388 + 2.34499i 0.112048 + 0.194073i
\(147\) 11.6900 + 3.21606i 0.964178 + 0.265256i
\(148\) 2.94317 0.241927
\(149\) 7.30980i 0.598842i 0.954121 + 0.299421i \(0.0967935\pi\)
−0.954121 + 0.299421i \(0.903207\pi\)
\(150\) −0.729782 6.22938i −0.0595865 0.508627i
\(151\) −4.87258 + 8.43956i −0.396525 + 0.686802i −0.993295 0.115611i \(-0.963117\pi\)
0.596769 + 0.802413i \(0.296451\pi\)
\(152\) 0.0298751 0.00242319
\(153\) −1.86581 + 6.24426i −0.150841 + 0.504819i
\(154\) 0.790303 + 2.29938i 0.0636844 + 0.185289i
\(155\) 4.93907i 0.396716i
\(156\) 1.08266 + 6.15043i 0.0866822 + 0.492429i
\(157\) −7.68731 4.43827i −0.613514 0.354213i 0.160825 0.986983i \(-0.448584\pi\)
−0.774340 + 0.632770i \(0.781918\pi\)
\(158\) 7.42034i 0.590330i
\(159\) −2.81806 + 2.09913i −0.223487 + 0.166472i
\(160\) −1.01693 0.587127i −0.0803956 0.0464164i
\(161\) 7.18983 2.47116i 0.566638 0.194755i
\(162\) 4.93761 7.52463i 0.387935 0.591190i
\(163\) 3.11766 0.244194 0.122097 0.992518i \(-0.461038\pi\)
0.122097 + 0.992518i \(0.461038\pi\)
\(164\) 4.01799 6.95937i 0.313752 0.543435i
\(165\) 0.217480 + 1.85639i 0.0169308 + 0.144520i
\(166\) 10.2828 + 5.93677i 0.798099 + 0.460783i
\(167\) −3.69401 6.39822i −0.285851 0.495109i 0.686964 0.726691i \(-0.258943\pi\)
−0.972815 + 0.231583i \(0.925610\pi\)
\(168\) −4.13099 + 1.98366i −0.318713 + 0.153043i
\(169\) −12.9138 + 1.49493i −0.993366 + 0.114994i
\(170\) 2.20914 1.27545i 0.169433 0.0978222i
\(171\) 0.0651585 0.0615392i 0.00498280 0.00470602i
\(172\) 5.49590 0.419059
\(173\) 9.97622 0.758478 0.379239 0.925299i \(-0.376186\pi\)
0.379239 + 0.925299i \(0.376186\pi\)
\(174\) −0.0447821 + 0.103892i −0.00339492 + 0.00787605i
\(175\) 3.11408 + 9.06038i 0.235402 + 0.684901i
\(176\) −0.795863 0.459492i −0.0599905 0.0346355i
\(177\) 6.21294 0.727857i 0.466993 0.0547091i
\(178\) 8.69033 5.01737i 0.651368 0.376068i
\(179\) 16.1480i 1.20695i 0.797380 + 0.603477i \(0.206219\pi\)
−0.797380 + 0.603477i \(0.793781\pi\)
\(180\) −3.42737 + 0.814220i −0.255461 + 0.0606884i
\(181\) 11.7575i 0.873927i −0.899479 0.436964i \(-0.856054\pi\)
0.899479 0.436964i \(-0.143946\pi\)
\(182\) −3.61510 8.82785i −0.267969 0.654364i
\(183\) 1.20827 + 0.520817i 0.0893178 + 0.0384999i
\(184\) −1.43677 + 2.48855i −0.105920 + 0.183458i
\(185\) −3.45602 −0.254092
\(186\) 7.23576 0.847681i 0.530551 0.0621550i
\(187\) 1.72890 0.998178i 0.126429 0.0729940i
\(188\) 6.53683 11.3221i 0.476748 0.825751i
\(189\) −4.92372 + 12.8358i −0.358148 + 0.933665i
\(190\) −0.0350810 −0.00254504
\(191\) 1.12191i 0.0811783i −0.999176 0.0405892i \(-0.987077\pi\)
0.999176 0.0405892i \(-0.0129235\pi\)
\(192\) 0.685609 1.59058i 0.0494796 0.114790i
\(193\) −16.7496 −1.20566 −0.602832 0.797868i \(-0.705961\pi\)
−0.602832 + 0.797868i \(0.705961\pi\)
\(194\) 5.04896 + 8.74505i 0.362494 + 0.627858i
\(195\) −1.27132 7.22217i −0.0910410 0.517190i
\(196\) 5.52089 4.30346i 0.394349 0.307390i
\(197\) 18.6511 10.7682i 1.32883 0.767202i 0.343714 0.939075i \(-0.388315\pi\)
0.985119 + 0.171873i \(0.0549817\pi\)
\(198\) −2.68230 + 0.637218i −0.190623 + 0.0452851i
\(199\) 11.2776 6.51112i 0.799447 0.461561i −0.0438307 0.999039i \(-0.513956\pi\)
0.843278 + 0.537478i \(0.180623\pi\)
\(200\) −3.13599 1.81056i −0.221748 0.128026i
\(201\) 8.96915 20.8080i 0.632635 1.46768i
\(202\) 7.66394 + 4.42478i 0.539233 + 0.311326i
\(203\) 0.0330691 0.169620i 0.00232099 0.0119050i
\(204\) 2.24768 + 3.01749i 0.157369 + 0.211267i
\(205\) −4.71814 + 8.17206i −0.329529 + 0.570761i
\(206\) −9.99241 −0.696204
\(207\) 1.99249 + 8.38717i 0.138488 + 0.582949i
\(208\) 3.22114 + 1.61995i 0.223346 + 0.112323i
\(209\) −0.0274548 −0.00189909
\(210\) 4.85083 2.32932i 0.334739 0.160738i
\(211\) −10.6556 18.4561i −0.733562 1.27057i −0.955351 0.295472i \(-0.904523\pi\)
0.221789 0.975095i \(-0.428810\pi\)
\(212\) 2.02878i 0.139337i
\(213\) −13.0893 + 9.75000i −0.896863 + 0.668059i
\(214\) 2.04475 + 3.54160i 0.139776 + 0.242099i
\(215\) −6.45358 −0.440131
\(216\) −1.78107 4.88137i −0.121186 0.332135i
\(217\) −10.5241 + 3.61717i −0.714424 + 0.245550i
\(218\) −5.57802 + 3.22047i −0.377791 + 0.218118i
\(219\) 3.76120 2.80166i 0.254158 0.189318i
\(220\) 0.934545 + 0.539560i 0.0630070 + 0.0363771i
\(221\) −6.54636 + 4.30042i −0.440356 + 0.289278i
\(222\) −0.593149 5.06309i −0.0398096 0.339812i
\(223\) −20.1451 + 11.6308i −1.34902 + 0.778856i −0.988110 0.153746i \(-0.950866\pi\)
−0.360907 + 0.932602i \(0.617533\pi\)
\(224\) −0.506284 + 2.59686i −0.0338275 + 0.173510i
\(225\) −10.5692 + 2.51087i −0.704616 + 0.167391i
\(226\) −10.6071 18.3720i −0.705571 1.22208i
\(227\) −11.6786 20.2278i −0.775133 1.34257i −0.934720 0.355386i \(-0.884350\pi\)
0.159587 0.987184i \(-0.448984\pi\)
\(228\) −0.00602087 0.0513938i −0.000398742 0.00340363i
\(229\) 3.19792 1.84632i 0.211325 0.122008i −0.390602 0.920560i \(-0.627733\pi\)
0.601927 + 0.798551i \(0.294400\pi\)
\(230\) 1.68713 2.92219i 0.111246 0.192683i
\(231\) 3.79631 1.82295i 0.249779 0.119941i
\(232\) 0.0326586 + 0.0565664i 0.00214414 + 0.00371377i
\(233\) 7.98666 4.61110i 0.523223 0.302083i −0.215029 0.976608i \(-0.568985\pi\)
0.738252 + 0.674524i \(0.235651\pi\)
\(234\) 10.3623 3.10201i 0.677406 0.202785i
\(235\) −7.67590 + 13.2950i −0.500721 + 0.867273i
\(236\) 1.80579 3.12771i 0.117547 0.203597i
\(237\) −12.7651 + 1.49545i −0.829182 + 0.0971402i
\(238\) −4.33559 3.77312i −0.281034 0.244575i
\(239\) 13.3075i 0.860788i 0.902641 + 0.430394i \(0.141625\pi\)
−0.902641 + 0.430394i \(0.858375\pi\)
\(240\) −0.805079 + 1.86774i −0.0519676 + 0.120562i
\(241\) −22.2936 + 12.8712i −1.43605 + 0.829107i −0.997573 0.0696331i \(-0.977817\pi\)
−0.438482 + 0.898740i \(0.644484\pi\)
\(242\) −8.79489 5.07773i −0.565357 0.326409i
\(243\) −13.9396 6.97763i −0.894226 0.447615i
\(244\) 0.657869 0.379821i 0.0421157 0.0243155i
\(245\) −6.48292 + 5.05336i −0.414179 + 0.322847i
\(246\) −12.7819 5.50954i −0.814942 0.351276i
\(247\) 0.107538 0.00620368i 0.00684245 0.000394731i
\(248\) 2.10307 3.64262i 0.133545 0.231307i
\(249\) 8.14061 18.8858i 0.515890 1.19684i
\(250\) 8.76711 + 5.06169i 0.554481 + 0.320130i
\(251\) 15.4915 26.8320i 0.977813 1.69362i 0.307493 0.951550i \(-0.400510\pi\)
0.670320 0.742072i \(-0.266157\pi\)
\(252\) 4.24500 + 6.70671i 0.267410 + 0.422483i
\(253\) 1.32036 2.28694i 0.0830106 0.143779i
\(254\) 0.00317326i 0.000199108i
\(255\) −2.63935 3.54330i −0.165282 0.221890i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −15.6430 + 27.0945i −0.975784 + 1.69011i −0.298462 + 0.954421i \(0.596474\pi\)
−0.677322 + 0.735687i \(0.736860\pi\)
\(258\) −1.10761 9.45453i −0.0689571 0.588613i
\(259\) 2.53105 + 7.36406i 0.157272 + 0.457580i
\(260\) −3.78244 1.90223i −0.234577 0.117971i
\(261\) 0.187749 + 0.0561001i 0.0116214 + 0.00347251i
\(262\) 7.20912i 0.445381i
\(263\) 3.27772i 0.202113i −0.994881 0.101056i \(-0.967778\pi\)
0.994881 0.101056i \(-0.0322222\pi\)
\(264\) −0.630064 + 1.46172i −0.0387777 + 0.0899624i
\(265\) 2.38230i 0.146343i
\(266\) 0.0256919 + 0.0747502i 0.00157527 + 0.00458323i
\(267\) −10.3827 13.9387i −0.635411 0.853034i
\(268\) −6.54101 11.3294i −0.399556 0.692051i
\(269\) −3.92353 6.79575i −0.239222 0.414344i 0.721270 0.692654i \(-0.243559\pi\)
−0.960491 + 0.278311i \(0.910226\pi\)
\(270\) 2.09143 + 5.73197i 0.127280 + 0.348836i
\(271\) 9.66596 + 5.58065i 0.587165 + 0.339000i 0.763976 0.645245i \(-0.223245\pi\)
−0.176811 + 0.984245i \(0.556578\pi\)
\(272\) 2.17235 0.131718
\(273\) −14.4579 + 7.99813i −0.875030 + 0.484069i
\(274\) 20.5804 1.24331
\(275\) 2.88192 + 1.66388i 0.173787 + 0.100336i
\(276\) 4.57058 + 1.97012i 0.275116 + 0.118587i
\(277\) −9.54535 16.5330i −0.573524 0.993373i −0.996200 0.0870923i \(-0.972242\pi\)
0.422676 0.906281i \(-0.361091\pi\)
\(278\) 3.16577 + 5.48328i 0.189870 + 0.328865i
\(279\) −2.91651 12.2767i −0.174607 0.734989i
\(280\) 0.594506 3.04937i 0.0355285 0.182235i
\(281\) 12.3375i 0.735995i −0.929827 0.367997i \(-0.880044\pi\)
0.929827 0.367997i \(-0.119956\pi\)
\(282\) −20.7947 8.96343i −1.23831 0.533764i
\(283\) 10.7847i 0.641081i −0.947235 0.320541i \(-0.896135\pi\)
0.947235 0.320541i \(-0.103865\pi\)
\(284\) 9.42323i 0.559166i
\(285\) 0.00707003 + 0.0603493i 0.000418792 + 0.00357478i
\(286\) −2.96018 1.48871i −0.175039 0.0880291i
\(287\) 20.8683 + 4.06849i 1.23182 + 0.240155i
\(288\) −2.87442 0.858887i −0.169377 0.0506104i
\(289\) 6.14044 10.6356i 0.361203 0.625621i
\(290\) −0.0383495 0.0664233i −0.00225196 0.00390051i
\(291\) 14.0264 10.4481i 0.822245 0.612477i
\(292\) 2.70776i 0.158460i
\(293\) 8.93398 15.4741i 0.521929 0.904007i −0.477746 0.878498i \(-0.658546\pi\)
0.999675 0.0255089i \(-0.00812062\pi\)
\(294\) −8.51584 8.63021i −0.496654 0.503324i
\(295\) −2.12045 + 3.67273i −0.123457 + 0.213835i
\(296\) −2.54886 1.47158i −0.148149 0.0855340i
\(297\) 1.63677 + 4.48590i 0.0949752 + 0.260298i
\(298\) 3.65490 6.33047i 0.211723 0.366714i
\(299\) −4.65498 + 9.25606i −0.269204 + 0.535291i
\(300\) −2.48268 + 5.75969i −0.143338 + 0.332536i
\(301\) 4.72634 + 13.7512i 0.272422 + 0.792608i
\(302\) 8.43956 4.87258i 0.485642 0.280386i
\(303\) 6.06733 14.0759i 0.348559 0.808640i
\(304\) −0.0258726 0.0149376i −0.00148390 0.000856728i
\(305\) −0.772504 + 0.446006i −0.0442335 + 0.0255382i
\(306\) 4.73797 4.47479i 0.270851 0.255807i
\(307\) 15.9984i 0.913075i 0.889704 + 0.456537i \(0.150911\pi\)
−0.889704 + 0.456537i \(0.849089\pi\)
\(308\) 0.465267 2.38647i 0.0265110 0.135982i
\(309\) 2.01382 + 17.1898i 0.114562 + 0.977894i
\(310\) −2.46953 + 4.27736i −0.140260 + 0.242938i
\(311\) 7.50229 12.9943i 0.425416 0.736842i −0.571043 0.820920i \(-0.693461\pi\)
0.996459 + 0.0840780i \(0.0267945\pi\)
\(312\) 2.13761 5.86776i 0.121018 0.332197i
\(313\) −7.96283 + 4.59734i −0.450086 + 0.259857i −0.707866 0.706346i \(-0.750342\pi\)
0.257781 + 0.966203i \(0.417009\pi\)
\(314\) 4.43827 + 7.68731i 0.250466 + 0.433820i
\(315\) −4.98470 7.87538i −0.280856 0.443727i
\(316\) −3.71017 + 6.42620i −0.208713 + 0.361502i
\(317\) 26.2887 15.1778i 1.47652 0.852470i 0.476873 0.878972i \(-0.341770\pi\)
0.999649 + 0.0265020i \(0.00843682\pi\)
\(318\) 3.49007 0.408868i 0.195714 0.0229282i
\(319\) −0.0300127 0.0519836i −0.00168039 0.00291052i
\(320\) 0.587127 + 1.01693i 0.0328214 + 0.0568483i
\(321\) 5.68048 4.23130i 0.317054 0.236168i
\(322\) −7.46216 1.45482i −0.415850 0.0810741i
\(323\) 0.0562044 0.0324496i 0.00312730 0.00180555i
\(324\) −8.03841 + 4.04771i −0.446578 + 0.224873i
\(325\) −11.6642 5.86605i −0.647012 0.325390i
\(326\) −2.69997 1.55883i −0.149538 0.0863357i
\(327\) 6.66429 + 8.94675i 0.368536 + 0.494756i
\(328\) −6.95937 + 4.01799i −0.384267 + 0.221857i
\(329\) 33.9505 + 6.61899i 1.87175 + 0.364917i
\(330\) 0.739854 1.71642i 0.0407276 0.0944861i
\(331\) 30.2522 1.66281 0.831405 0.555666i \(-0.187537\pi\)
0.831405 + 0.555666i \(0.187537\pi\)
\(332\) −5.93677 10.2828i −0.325823 0.564341i
\(333\) −8.59042 + 2.04077i −0.470752 + 0.111834i
\(334\) 7.38803i 0.404255i
\(335\) 7.68081 + 13.3035i 0.419647 + 0.726850i
\(336\) 4.56937 + 0.347597i 0.249280 + 0.0189629i
\(337\) −15.1212 −0.823705 −0.411852 0.911251i \(-0.635118\pi\)
−0.411852 + 0.911251i \(0.635118\pi\)
\(338\) 11.9311 + 5.16223i 0.648967 + 0.280789i
\(339\) −29.4673 + 21.9498i −1.60045 + 1.19215i
\(340\) −2.55089 −0.138342
\(341\) −1.93269 + 3.34751i −0.104661 + 0.181278i
\(342\) −0.0871986 + 0.0207152i −0.00471516 + 0.00112015i
\(343\) 15.5155 + 10.1129i 0.837757 + 0.546044i
\(344\) −4.75959 2.74795i −0.256620 0.148160i
\(345\) −5.36702 2.31342i −0.288950 0.124550i
\(346\) −8.63966 4.98811i −0.464471 0.268162i
\(347\) −2.80775 + 1.62106i −0.150728 + 0.0870229i −0.573467 0.819229i \(-0.694402\pi\)
0.422739 + 0.906251i \(0.361069\pi\)
\(348\) 0.0907285 0.0675822i 0.00486356 0.00362279i
\(349\) 8.93794 5.16032i 0.478437 0.276226i −0.241328 0.970444i \(-0.577583\pi\)
0.719765 + 0.694218i \(0.244250\pi\)
\(350\) 1.83332 9.40356i 0.0979950 0.502641i
\(351\) −7.42471 17.2010i −0.396302 0.918120i
\(352\) 0.459492 + 0.795863i 0.0244910 + 0.0424197i
\(353\) 22.8607 1.21675 0.608377 0.793648i \(-0.291821\pi\)
0.608377 + 0.793648i \(0.291821\pi\)
\(354\) −5.74449 2.47613i −0.305316 0.131605i
\(355\) 11.0653i 0.587283i
\(356\) −10.0347 −0.531840
\(357\) −5.61708 + 8.21887i −0.297288 + 0.434989i
\(358\) 8.07398 13.9845i 0.426723 0.739106i
\(359\) −0.0612770 + 0.0353783i −0.00323408 + 0.00186719i −0.501616 0.865090i \(-0.667261\pi\)
0.498382 + 0.866957i \(0.333928\pi\)
\(360\) 3.37530 + 1.00855i 0.177894 + 0.0531553i
\(361\) 18.9991 0.999953
\(362\) −5.87874 + 10.1823i −0.308980 + 0.535169i
\(363\) −6.96268 + 16.1531i −0.365446 + 0.847816i
\(364\) −1.28316 + 9.45270i −0.0672556 + 0.495456i
\(365\) 3.17960i 0.166428i
\(366\) −0.785983 1.05518i −0.0410840 0.0551549i
\(367\) 16.4240i 0.857325i 0.903465 + 0.428662i \(0.141015\pi\)
−0.903465 + 0.428662i \(0.858985\pi\)
\(368\) 2.48855 1.43677i 0.129725 0.0748966i
\(369\) −6.90200 + 23.0988i −0.359304 + 1.20248i
\(370\) 2.99300 + 1.72801i 0.155599 + 0.0898350i
\(371\) −5.07618 + 1.74470i −0.263542 + 0.0905801i
\(372\) −6.69019 2.88376i −0.346870 0.149516i
\(373\) 0.280532 0.0145254 0.00726269 0.999974i \(-0.497688\pi\)
0.00726269 + 0.999974i \(0.497688\pi\)
\(374\) −1.99636 −0.103229
\(375\) 6.94069 16.1020i 0.358416 0.831506i
\(376\) −11.3221 + 6.53683i −0.583894 + 0.337112i
\(377\) 0.129303 + 0.196833i 0.00665945 + 0.0101374i
\(378\) 10.6819 8.65425i 0.549420 0.445126i
\(379\) −15.8106 27.3847i −0.812133 1.40666i −0.911368 0.411592i \(-0.864973\pi\)
0.0992346 0.995064i \(-0.468361\pi\)
\(380\) 0.0303810 + 0.0175405i 0.00155851 + 0.000899808i
\(381\) −0.00545892 0.000639522i −0.000279669 3.27637e-5i
\(382\) −0.560953 + 0.971600i −0.0287009 + 0.0497114i
\(383\) 26.3828 1.34810 0.674050 0.738686i \(-0.264553\pi\)
0.674050 + 0.738686i \(0.264553\pi\)
\(384\) −1.38904 + 1.03468i −0.0708844 + 0.0528006i
\(385\) −0.546341 + 2.80232i −0.0278441 + 0.142820i
\(386\) 14.5056 + 8.37481i 0.738315 + 0.426266i
\(387\) −16.0413 + 3.81083i −0.815423 + 0.193715i
\(388\) 10.0979i 0.512644i
\(389\) −20.3683 11.7596i −1.03271 0.596237i −0.114952 0.993371i \(-0.536671\pi\)
−0.917760 + 0.397135i \(0.870005\pi\)
\(390\) −2.51009 + 6.89024i −0.127103 + 0.348901i
\(391\) 6.24232i 0.315688i
\(392\) −6.93296 + 0.966466i −0.350167 + 0.0488139i
\(393\) −12.4018 + 1.45289i −0.625586 + 0.0732885i
\(394\) −21.5364 −1.08499
\(395\) 4.35668 7.54599i 0.219208 0.379680i
\(396\) 2.64155 + 0.789303i 0.132743 + 0.0396640i
\(397\) 11.1419i 0.559195i −0.960117 0.279598i \(-0.909799\pi\)
0.960117 0.279598i \(-0.0902010\pi\)
\(398\) −13.0222 −0.652746
\(399\) 0.123414 0.0592621i 0.00617842 0.00296681i
\(400\) 1.81056 + 3.13599i 0.0905282 + 0.156799i
\(401\) −0.974806 0.562805i −0.0486795 0.0281051i 0.475463 0.879736i \(-0.342281\pi\)
−0.524142 + 0.851631i \(0.675614\pi\)
\(402\) −18.1715 + 13.5357i −0.906313 + 0.675098i
\(403\) 6.81373 13.5486i 0.339416 0.674902i
\(404\) −4.42478 7.66394i −0.220141 0.381295i
\(405\) 9.43913 4.75304i 0.469034 0.236180i
\(406\) −0.113448 + 0.130360i −0.00563035 + 0.00646968i
\(407\) 2.34236 + 1.35236i 0.116106 + 0.0670340i
\(408\) −0.437804 3.73707i −0.0216745 0.185012i
\(409\) −7.85440 + 4.53474i −0.388375 + 0.224228i −0.681456 0.731859i \(-0.738653\pi\)
0.293081 + 0.956088i \(0.405320\pi\)
\(410\) 8.17206 4.71814i 0.403589 0.233012i
\(411\) −4.14766 35.4042i −0.204589 1.74636i
\(412\) 8.65368 + 4.99621i 0.426336 + 0.246145i
\(413\) 9.37875 + 1.82848i 0.461498 + 0.0899737i
\(414\) 2.46804 8.25975i 0.121297 0.405944i
\(415\) 6.97127 + 12.0746i 0.342206 + 0.592719i
\(416\) −1.97962 3.01349i −0.0970587 0.147748i
\(417\) 8.79479 6.55110i 0.430683 0.320809i
\(418\) 0.0237765 + 0.0137274i 0.00116295 + 0.000671428i
\(419\) 14.1783 + 24.5576i 0.692657 + 1.19972i 0.970964 + 0.239225i \(0.0768934\pi\)
−0.278307 + 0.960492i \(0.589773\pi\)
\(420\) −5.36560 0.408166i −0.261815 0.0199165i
\(421\) 19.4027 0.945627 0.472814 0.881162i \(-0.343238\pi\)
0.472814 + 0.881162i \(0.343238\pi\)
\(422\) 21.3112i 1.03741i
\(423\) −11.2288 + 37.5793i −0.545963 + 1.82717i
\(424\) 1.01439 1.75697i 0.0492630 0.0853261i
\(425\) −7.86637 −0.381575
\(426\) 16.2106 1.89911i 0.785408 0.0920120i
\(427\) 1.51609 + 1.31941i 0.0733690 + 0.0638507i
\(428\) 4.08949i 0.197673i
\(429\) −1.96442 + 5.39238i −0.0948433 + 0.260347i
\(430\) 5.58897 + 3.22679i 0.269524 + 0.155610i
\(431\) 17.7238i 0.853728i −0.904316 0.426864i \(-0.859618\pi\)
0.904316 0.426864i \(-0.140382\pi\)
\(432\) −0.898236 + 5.11793i −0.0432164 + 0.246236i
\(433\) 0.325897 + 0.188157i 0.0156616 + 0.00904223i 0.507810 0.861469i \(-0.330455\pi\)
−0.492149 + 0.870511i \(0.663788\pi\)
\(434\) 10.9227 + 2.12950i 0.524308 + 0.102219i
\(435\) −0.106538 + 0.0793587i −0.00510812 + 0.00380496i
\(436\) 6.44094 0.308465
\(437\) 0.0429236 0.0743458i 0.00205331 0.00355644i
\(438\) −4.65812 + 0.545707i −0.222574 + 0.0260749i
\(439\) 24.2861 + 14.0216i 1.15911 + 0.669214i 0.951091 0.308911i \(-0.0999645\pi\)
0.208021 + 0.978124i \(0.433298\pi\)
\(440\) −0.539560 0.934545i −0.0257225 0.0445527i
\(441\) −13.1302 + 16.3890i −0.625247 + 0.780427i
\(442\) 7.81953 0.451097i 0.371937 0.0214565i
\(443\) −13.9270 + 8.04074i −0.661691 + 0.382027i −0.792921 0.609325i \(-0.791441\pi\)
0.131230 + 0.991352i \(0.458107\pi\)
\(444\) −2.01786 + 4.68134i −0.0957634 + 0.222166i
\(445\) 11.7833 0.558583
\(446\) 23.2616 1.10147
\(447\) −11.6268 5.01166i −0.549929 0.237043i
\(448\) 1.73688 1.99580i 0.0820601 0.0942929i
\(449\) 30.1974 + 17.4345i 1.42510 + 0.822783i 0.996729 0.0808182i \(-0.0257533\pi\)
0.428374 + 0.903602i \(0.359087\pi\)
\(450\) 10.4087 + 3.11014i 0.490669 + 0.146613i
\(451\) 6.39555 3.69247i 0.301154 0.173872i
\(452\) 21.2141i 0.997828i
\(453\) −10.0831 13.5365i −0.473745 0.635999i
\(454\) 23.3571i 1.09620i
\(455\) 1.50675 11.0999i 0.0706375 0.520370i
\(456\) −0.0204827 + 0.0475187i −0.000959188 + 0.00222527i
\(457\) −1.39850 + 2.42227i −0.0654191 + 0.113309i −0.896880 0.442274i \(-0.854172\pi\)
0.831461 + 0.555584i \(0.187505\pi\)
\(458\) −3.69265 −0.172546
\(459\) −8.65278 7.24883i −0.403877 0.338346i
\(460\) −2.92219 + 1.68713i −0.136248 + 0.0786627i
\(461\) −11.5533 + 20.0109i −0.538091 + 0.932001i 0.460916 + 0.887444i \(0.347521\pi\)
−0.999007 + 0.0445574i \(0.985812\pi\)
\(462\) −4.19918 0.319436i −0.195364 0.0148615i
\(463\) 7.03737 0.327054 0.163527 0.986539i \(-0.447713\pi\)
0.163527 + 0.986539i \(0.447713\pi\)
\(464\) 0.0653172i 0.00303228i
\(465\) 7.85598 + 3.38627i 0.364312 + 0.157035i
\(466\) −9.22220 −0.427210
\(467\) −14.7390 25.5287i −0.682039 1.18133i −0.974358 0.225005i \(-0.927760\pi\)
0.292319 0.956321i \(-0.405573\pi\)
\(468\) −10.5250 2.49474i −0.486520 0.115319i
\(469\) 22.7220 26.1092i 1.04920 1.20561i
\(470\) 13.2950 7.67590i 0.613255 0.354063i
\(471\) 12.3299 9.18435i 0.568132 0.423193i
\(472\) −3.12771 + 1.80579i −0.143965 + 0.0831181i
\(473\) 4.37399 + 2.52532i 0.201116 + 0.116114i
\(474\) 11.8026 + 5.08745i 0.542113 + 0.233674i
\(475\) 0.0936881 + 0.0540908i 0.00429870 + 0.00248186i
\(476\) 1.86817 + 5.43542i 0.0856273 + 0.249132i
\(477\) −1.40674 5.92153i −0.0644102 0.271128i
\(478\) 6.65373 11.5246i 0.304335 0.527123i
\(479\) −14.8402 −0.678065 −0.339033 0.940775i \(-0.610100\pi\)
−0.339033 + 0.940775i \(0.610100\pi\)
\(480\) 1.63109 1.21497i 0.0744487 0.0554557i
\(481\) −9.48036 4.76778i −0.432267 0.217392i
\(482\) 25.7424 1.17253
\(483\) −0.998829 + 13.1302i −0.0454483 + 0.597447i
\(484\) 5.07773 + 8.79489i 0.230806 + 0.399768i
\(485\) 11.8575i 0.538422i
\(486\) 8.58324 + 13.0126i 0.389344 + 0.590264i
\(487\) 13.0447 + 22.5940i 0.591111 + 1.02383i 0.994083 + 0.108622i \(0.0346438\pi\)
−0.402972 + 0.915212i \(0.632023\pi\)
\(488\) −0.759641 −0.0343873
\(489\) −2.13750 + 4.95889i −0.0966610 + 0.224249i
\(490\) 8.14105 1.13488i 0.367775 0.0512685i
\(491\) −19.2964 + 11.1408i −0.870834 + 0.502776i −0.867625 0.497219i \(-0.834355\pi\)
−0.00320842 + 0.999995i \(0.501021\pi\)
\(492\) 8.31465 + 11.1623i 0.374853 + 0.503237i
\(493\) 0.122882 + 0.0709460i 0.00553433 + 0.00319525i
\(494\) −0.0962321 0.0483962i −0.00432968 0.00217745i
\(495\) −3.10185 0.926842i −0.139418 0.0416585i
\(496\) −3.64262 + 2.10307i −0.163558 + 0.0944305i
\(497\) −23.5777 + 8.10374i −1.05761 + 0.363502i
\(498\) −16.4929 + 12.2853i −0.739063 + 0.550517i
\(499\) −11.3535 19.6649i −0.508254 0.880321i −0.999954 0.00955703i \(-0.996958\pi\)
0.491701 0.870764i \(-0.336375\pi\)
\(500\) −5.06169 8.76711i −0.226366 0.392077i
\(501\) 12.7095 1.48894i 0.567819 0.0665210i
\(502\) −26.8320 + 15.4915i −1.19757 + 0.691418i
\(503\) −13.8434 + 23.9774i −0.617246 + 1.06910i 0.372740 + 0.927936i \(0.378418\pi\)
−0.989986 + 0.141165i \(0.954915\pi\)
\(504\) −0.322921 7.93068i −0.0143840 0.353261i
\(505\) 5.19581 + 8.99940i 0.231210 + 0.400468i
\(506\) −2.28694 + 1.32036i −0.101667 + 0.0586974i
\(507\) 6.47599 21.5653i 0.287609 0.957748i
\(508\) −0.00158663 + 0.00274813i −7.03954e−5 + 0.000121928i
\(509\) 9.55630 16.5520i 0.423575 0.733654i −0.572711 0.819757i \(-0.694108\pi\)
0.996286 + 0.0861033i \(0.0274415\pi\)
\(510\) 0.514093 + 4.38826i 0.0227644 + 0.194316i
\(511\) 6.77505 2.32860i 0.299711 0.103011i
\(512\) 1.00000i 0.0441942i
\(513\) 0.0532096 + 0.145832i 0.00234926 + 0.00643862i
\(514\) 27.0945 15.6430i 1.19509 0.689984i
\(515\) −10.1616 5.86681i −0.447774 0.258523i
\(516\) −3.76804 + 8.74167i −0.165879 + 0.384830i
\(517\) 10.4049 6.00725i 0.457605 0.264198i
\(518\) 1.49008 7.64299i 0.0654702 0.335813i
\(519\) −6.83978 + 15.8680i −0.300233 + 0.696526i
\(520\) 2.32457 + 3.53860i 0.101939 + 0.155178i
\(521\) −7.05557 + 12.2206i −0.309110 + 0.535394i −0.978168 0.207816i \(-0.933365\pi\)
0.669058 + 0.743210i \(0.266698\pi\)
\(522\) −0.134546 0.142459i −0.00588891 0.00623526i
\(523\) −1.17718 0.679646i −0.0514745 0.0297188i 0.474042 0.880502i \(-0.342795\pi\)
−0.525516 + 0.850783i \(0.676128\pi\)
\(524\) −3.60456 + 6.24329i −0.157466 + 0.272739i
\(525\) −16.5463 1.25869i −0.722139 0.0549338i
\(526\) −1.63886 + 2.83858i −0.0714576 + 0.123768i
\(527\) 9.13721i 0.398023i
\(528\) 1.27651 0.950851i 0.0555529 0.0413805i
\(529\) −7.37141 12.7677i −0.320496 0.555115i
\(530\) −1.19115 + 2.06313i −0.0517402 + 0.0896166i
\(531\) −3.10193 + 10.3812i −0.134612 + 0.450506i
\(532\) 0.0151253 0.0775815i 0.000655765 0.00336358i
\(533\) −24.2164 + 15.9082i −1.04893 + 0.689059i
\(534\) 2.02234 + 17.2626i 0.0875154 + 0.747026i
\(535\) 4.80210i 0.207613i
\(536\) 13.0820i 0.565057i
\(537\) −25.6846 11.0712i −1.10837 0.477757i
\(538\) 7.84705i 0.338310i
\(539\) 6.37128 0.888167i 0.274430 0.0382560i
\(540\) 1.05476 6.00974i 0.0453895 0.258618i
\(541\) 16.1920 + 28.0454i 0.696150 + 1.20577i 0.969792 + 0.243935i \(0.0784383\pi\)
−0.273642 + 0.961832i \(0.588228\pi\)
\(542\) −5.58065 9.66596i −0.239709 0.415189i
\(543\) 18.7012 + 8.06104i 0.802546 + 0.345932i
\(544\) −1.88131 1.08618i −0.0806606 0.0465694i
\(545\) −7.56329 −0.323976
\(546\) 16.5199 + 0.302349i 0.706988 + 0.0129393i
\(547\) −20.9799 −0.897036 −0.448518 0.893774i \(-0.648048\pi\)
−0.448518 + 0.893774i \(0.648048\pi\)
\(548\) −17.8232 10.2902i −0.761367 0.439576i
\(549\) −1.65680 + 1.56477i −0.0707105 + 0.0667828i
\(550\) −1.66388 2.88192i −0.0709481 0.122886i
\(551\) −0.000975680 0.00168993i −4.15654e−5 7.19934e-5i
\(552\) −2.97318 3.99146i −0.126547 0.169888i
\(553\) −19.2696 3.75680i −0.819425 0.159755i
\(554\) 19.0907i 0.811086i
\(555\) 2.36948 5.49707i 0.100579 0.233338i
\(556\) 6.33154i 0.268517i
\(557\) 2.04448i 0.0866275i 0.999062 + 0.0433137i \(0.0137915\pi\)
−0.999062 + 0.0433137i \(0.986208\pi\)
\(558\) −3.61260 + 12.0902i −0.152933 + 0.511820i
\(559\) −17.7031 8.90309i −0.748761 0.376561i
\(560\) −2.03954 + 2.34358i −0.0861864 + 0.0990343i
\(561\) 0.402335 + 3.43430i 0.0169866 + 0.144996i
\(562\) −6.16876 + 10.6846i −0.260214 + 0.450703i
\(563\) 17.3267 + 30.0108i 0.730235 + 1.26480i 0.956783 + 0.290804i \(0.0939227\pi\)
−0.226548 + 0.974000i \(0.572744\pi\)
\(564\) 13.5270 + 18.1599i 0.569591 + 0.764670i
\(565\) 24.9107i 1.04800i
\(566\) −5.39233 + 9.33979i −0.226656 + 0.392580i
\(567\) −17.0406 16.6319i −0.715636 0.698473i
\(568\) 4.71161 8.16075i 0.197695 0.342418i
\(569\) −8.82762 5.09663i −0.370073 0.213662i 0.303417 0.952858i \(-0.401872\pi\)
−0.673490 + 0.739196i \(0.735206\pi\)
\(570\) 0.0240518 0.0557990i 0.00100742 0.00233716i
\(571\) 4.05162 7.01761i 0.169555 0.293678i −0.768709 0.639599i \(-0.779100\pi\)
0.938263 + 0.345922i \(0.112434\pi\)
\(572\) 1.81924 + 2.76935i 0.0760661 + 0.115792i
\(573\) 1.78448 + 0.769189i 0.0745478 + 0.0321333i
\(574\) −16.0382 13.9576i −0.669424 0.582578i
\(575\) −9.01136 + 5.20271i −0.375800 + 0.216968i
\(576\) 2.05988 + 2.18103i 0.0858284 + 0.0908763i
\(577\) 14.1521 + 8.17074i 0.589161 + 0.340153i 0.764766 0.644308i \(-0.222855\pi\)
−0.175604 + 0.984461i \(0.556188\pi\)
\(578\) −10.6356 + 6.14044i −0.442381 + 0.255409i
\(579\) 11.4837 26.6416i 0.477246 1.10719i
\(580\) 0.0766990i 0.00318475i
\(581\) 20.6230 23.6973i 0.855585 0.983128i
\(582\) −17.3713 + 2.03508i −0.720063 + 0.0843567i
\(583\) −0.932206 + 1.61463i −0.0386080 + 0.0668711i
\(584\) −1.35388 + 2.34499i −0.0560239 + 0.0970363i
\(585\) 12.3591 + 2.92945i 0.510984 + 0.121118i
\(586\) −15.4741 + 8.93398i −0.639229 + 0.369059i
\(587\) 11.5145 + 19.9438i 0.475256 + 0.823167i 0.999598 0.0283405i \(-0.00902228\pi\)
−0.524343 + 0.851507i \(0.675689\pi\)
\(588\) 3.05983 + 11.7319i 0.126185 + 0.483815i
\(589\) −0.0628294 + 0.108824i −0.00258884 + 0.00448400i
\(590\) 3.67273 2.12045i 0.151204 0.0872976i
\(591\) 4.34032 + 37.0487i 0.178537 + 1.52398i
\(592\) 1.47158 + 2.54886i 0.0604817 + 0.104757i
\(593\) 3.13509 + 5.43014i 0.128743 + 0.222989i 0.923190 0.384344i \(-0.125572\pi\)
−0.794447 + 0.607334i \(0.792239\pi\)
\(594\) 0.825464 4.70329i 0.0338692 0.192978i
\(595\) −2.19370 6.38256i −0.0899330 0.261659i
\(596\) −6.33047 + 3.65490i −0.259306 + 0.149710i
\(597\) 2.62443 + 22.4020i 0.107411 + 0.916852i
\(598\) 8.65936 5.68849i 0.354107 0.232620i
\(599\) 4.15122 + 2.39671i 0.169614 + 0.0979269i 0.582404 0.812900i \(-0.302112\pi\)
−0.412790 + 0.910826i \(0.635446\pi\)
\(600\) 5.02991 3.74670i 0.205345 0.152958i
\(601\) 42.1719 24.3480i 1.72023 0.993174i 0.801794 0.597601i \(-0.203879\pi\)
0.918434 0.395574i \(-0.129454\pi\)
\(602\) 2.78249 14.2721i 0.113406 0.581687i
\(603\) 26.9474 + 28.5323i 1.09738 + 1.16192i
\(604\) −9.74517 −0.396525
\(605\) −5.96255 10.3274i −0.242412 0.419870i
\(606\) −12.2924 + 9.15643i −0.499345 + 0.371954i
\(607\) 35.3201i 1.43360i 0.697279 + 0.716800i \(0.254394\pi\)
−0.697279 + 0.716800i \(0.745606\pi\)
\(608\) 0.0149376 + 0.0258726i 0.000605798 + 0.00104927i
\(609\) 0.247121 + 0.168892i 0.0100138 + 0.00684384i
\(610\) 0.892011 0.0361165
\(611\) −39.3974 + 25.8809i −1.59385 + 1.04703i
\(612\) −6.34059 + 1.50630i −0.256303 + 0.0608884i
\(613\) 41.7258 1.68529 0.842645 0.538469i \(-0.180997\pi\)
0.842645 + 0.538469i \(0.180997\pi\)
\(614\) 7.99918 13.8550i 0.322821 0.559142i
\(615\) −9.76350 13.1074i −0.393702 0.528542i
\(616\) −1.59617 + 1.83411i −0.0643115 + 0.0738985i
\(617\) −25.8310 14.9135i −1.03992 0.600395i −0.120106 0.992761i \(-0.538323\pi\)
−0.919809 + 0.392366i \(0.871657\pi\)
\(618\) 6.85089 15.8937i 0.275583 0.639339i
\(619\) 11.2355 + 6.48683i 0.451594 + 0.260728i 0.708503 0.705708i \(-0.249371\pi\)
−0.256909 + 0.966436i \(0.582704\pi\)
\(620\) 4.27736 2.46953i 0.171783 0.0991789i
\(621\) −14.7065 2.58111i −0.590152 0.103576i
\(622\) −12.9943 + 7.50229i −0.521026 + 0.300814i
\(623\) −8.62962 25.1078i −0.345738 1.00592i
\(624\) −4.78510 + 4.01283i −0.191557 + 0.160642i
\(625\) −3.10911 5.38514i −0.124364 0.215405i
\(626\) 9.19469 0.367494
\(627\) 0.0188232 0.0436689i 0.000751727 0.00174397i
\(628\) 8.87654i 0.354213i
\(629\) −6.39359 −0.254929
\(630\) 0.379191 + 9.31263i 0.0151073 + 0.371024i
\(631\) −14.7342 + 25.5203i −0.586557 + 1.01595i 0.408122 + 0.912927i \(0.366184\pi\)
−0.994679 + 0.103020i \(0.967150\pi\)
\(632\) 6.42620 3.71017i 0.255620 0.147583i
\(633\) 36.6614 4.29494i 1.45716 0.170709i
\(634\) −30.3556 −1.20557
\(635\) 0.00186311 0.00322700i 7.39351e−5 0.000128059i
\(636\) −3.22693 1.39095i −0.127956 0.0551546i
\(637\) −24.7550 + 4.91851i −0.980827 + 0.194879i
\(638\) 0.0600255i 0.00237643i
\(639\) −6.53401 27.5042i −0.258481 1.08805i
\(640\) 1.17425i 0.0464164i
\(641\) −24.6081 + 14.2075i −0.971963 + 0.561163i −0.899834 0.436232i \(-0.856313\pi\)
−0.0721291 + 0.997395i \(0.522979\pi\)
\(642\) −7.03510 + 0.824174i −0.277653 + 0.0325275i
\(643\) −27.7370 16.0140i −1.09384 0.631530i −0.159245 0.987239i \(-0.550906\pi\)
−0.934597 + 0.355709i \(0.884239\pi\)
\(644\) 5.73500 + 4.99099i 0.225991 + 0.196673i
\(645\) 4.42464 10.2649i 0.174220 0.404181i
\(646\) −0.0648993 −0.00255343
\(647\) 15.0516 0.591741 0.295870 0.955228i \(-0.404390\pi\)
0.295870 + 0.955228i \(0.404390\pi\)
\(648\) 8.98532 + 0.513784i 0.352977 + 0.0201833i
\(649\) 2.87432 1.65949i 0.112827 0.0651406i
\(650\) 7.16845 + 10.9122i 0.281170 + 0.428013i
\(651\) 1.46204 19.2194i 0.0573018 0.753268i
\(652\) 1.55883 + 2.69997i 0.0610485 + 0.105739i
\(653\) 11.8120 + 6.81968i 0.462240 + 0.266875i 0.712986 0.701178i \(-0.247342\pi\)
−0.250745 + 0.968053i \(0.580676\pi\)
\(654\) −1.29807 11.0803i −0.0507586 0.433272i
\(655\) 4.23267 7.33120i 0.165384 0.286454i
\(656\) 8.03598 0.313752
\(657\) 1.87754 + 7.90332i 0.0732500 + 0.308338i
\(658\) −26.0925 22.7075i −1.01719 0.885229i
\(659\) 7.63539 + 4.40829i 0.297432 + 0.171723i 0.641289 0.767300i \(-0.278400\pi\)
−0.343856 + 0.939022i \(0.611733\pi\)
\(660\) −1.49894 + 1.11654i −0.0583464 + 0.0434613i
\(661\) 28.6027i 1.11252i −0.831010 0.556258i \(-0.812237\pi\)
0.831010 0.556258i \(-0.187763\pi\)
\(662\) −26.1992 15.1261i −1.01826 0.587892i
\(663\) −2.35192 13.3609i −0.0913410 0.518895i
\(664\) 11.8735i 0.460783i
\(665\) −0.0177609 + 0.0911003i −0.000688739 + 0.00353272i
\(666\) 8.45990 + 2.52785i 0.327815 + 0.0979521i
\(667\) 0.187691 0.00726743
\(668\) 3.69401 6.39822i 0.142926 0.247554i
\(669\) −4.68801 40.0166i −0.181249 1.54713i
\(670\) 15.3616i 0.593471i
\(671\) 0.698098 0.0269498
\(672\) −3.78340 2.58571i −0.145948 0.0997461i
\(673\) 9.49994 + 16.4544i 0.366196 + 0.634270i 0.988967 0.148134i \(-0.0473267\pi\)
−0.622771 + 0.782404i \(0.713993\pi\)
\(674\) 13.0953 + 7.56060i 0.504414 + 0.291224i
\(675\) 3.25263 18.5327i 0.125194 0.713323i
\(676\) −7.75152 10.4362i −0.298136 0.401392i
\(677\) −24.1275 41.7901i −0.927297 1.60612i −0.787825 0.615899i \(-0.788793\pi\)
−0.139471 0.990226i \(-0.544540\pi\)
\(678\) 36.4943 4.27538i 1.40156 0.164195i
\(679\) 25.2659 8.68395i 0.969615 0.333259i
\(680\) 2.20914 + 1.27545i 0.0847165 + 0.0489111i
\(681\) 40.1809 4.70726i 1.53974 0.180383i
\(682\) 3.34751 1.93269i 0.128183 0.0740063i
\(683\) 6.11835 3.53243i 0.234112 0.135165i −0.378356 0.925660i \(-0.623510\pi\)
0.612468 + 0.790496i \(0.290177\pi\)
\(684\) 0.0858738 + 0.0256594i 0.00328347 + 0.000981110i
\(685\) 20.9289 + 12.0833i 0.799652 + 0.461679i
\(686\) −8.38035 16.5157i −0.319963 0.630574i
\(687\) 0.744195 + 6.35241i 0.0283928 + 0.242359i
\(688\) 2.74795 + 4.75959i 0.104765 + 0.181458i
\(689\) 3.28652 6.53498i 0.125206 0.248963i
\(690\) 3.49126 + 4.68699i 0.132910 + 0.178431i
\(691\) −23.8298 13.7581i −0.906527 0.523384i −0.0272151 0.999630i \(-0.508664\pi\)
−0.879312 + 0.476246i \(0.841997\pi\)
\(692\) 4.98811 + 8.63966i 0.189619 + 0.328430i
\(693\) 0.296759 + 7.28817i 0.0112729 + 0.276855i
\(694\) 3.24211 0.123069
\(695\) 7.43483i 0.282019i
\(696\) −0.112364 + 0.0131637i −0.00425916 + 0.000498968i
\(697\) −8.72849 + 15.1182i −0.330615 + 0.572643i
\(698\) −10.3206 −0.390642
\(699\) 1.85859 + 15.8648i 0.0702984 + 0.600063i
\(700\) −6.28948 + 7.22706i −0.237720 + 0.273157i
\(701\) 1.43708i 0.0542779i 0.999632 + 0.0271389i \(0.00863965\pi\)
−0.999632 + 0.0271389i \(0.991360\pi\)
\(702\) −2.17050 + 18.6088i −0.0819204 + 0.702345i
\(703\) 0.0761474 + 0.0439637i 0.00287195 + 0.00165812i
\(704\) 0.918984i 0.0346355i
\(705\) −15.8842 21.3243i −0.598232 0.803121i
\(706\) −19.7980 11.4304i −0.745106 0.430187i
\(707\) 15.3706 17.6620i 0.578073 0.664247i
\(708\) 3.73681 + 5.01664i 0.140438 + 0.188537i
\(709\) 19.0147 0.714111 0.357056 0.934083i \(-0.383781\pi\)
0.357056 + 0.934083i \(0.383781\pi\)
\(710\) −5.53263 + 9.58279i −0.207636 + 0.359636i
\(711\) 6.37323 21.3292i 0.239015 0.799907i
\(712\) 8.69033 + 5.01737i 0.325684 + 0.188034i
\(713\) −6.04323 10.4672i −0.226321 0.391999i
\(714\) 8.97397 4.30921i 0.335842 0.161268i
\(715\) −2.13624 3.25192i −0.0798910 0.121615i
\(716\) −13.9845 + 8.07398i −0.522627 + 0.301739i
\(717\) −21.1666 9.12372i −0.790480 0.340731i
\(718\) 0.0707566 0.00264061
\(719\) 38.3391 1.42981 0.714904 0.699222i \(-0.246470\pi\)
0.714904 + 0.699222i \(0.246470\pi\)
\(720\) −2.41882 2.56108i −0.0901442 0.0954459i
\(721\) −5.05900 + 25.9489i −0.188407 + 0.966387i
\(722\) −16.4537 9.49955i −0.612344 0.353537i
\(723\) −5.18798 44.2843i −0.192943 1.64695i
\(724\) 10.1823 5.87874i 0.378422 0.218482i
\(725\) 0.236522i 0.00878421i
\(726\) 14.1064 10.5076i 0.523537 0.389975i
\(727\) 36.3302i 1.34741i −0.738998 0.673707i \(-0.764701\pi\)
0.738998 0.673707i \(-0.235299\pi\)
\(728\) 5.83759 7.54470i 0.216356 0.279625i
\(729\) 20.6556 17.3881i 0.765022 0.644004i
\(730\) 1.58980 2.75361i 0.0588411 0.101916i
\(731\) −11.9390 −0.441581
\(732\) 0.153094 + 1.30680i 0.00565851 + 0.0483007i
\(733\) −16.1295 + 9.31236i −0.595756 + 0.343960i −0.767370 0.641204i \(-0.778435\pi\)
0.171614 + 0.985164i \(0.445102\pi\)
\(734\) 8.21199 14.2236i 0.303110 0.525002i
\(735\) −3.59301 13.7762i −0.132530 0.508144i
\(736\) −2.87353 −0.105920
\(737\) 12.0222i 0.442842i
\(738\) 17.5267 16.5532i 0.645168 0.609331i
\(739\) −33.0261 −1.21488 −0.607442 0.794364i \(-0.707804\pi\)
−0.607442 + 0.794364i \(0.707804\pi\)
\(740\) −1.72801 2.99300i −0.0635229 0.110025i
\(741\) −0.0638612 + 0.175300i −0.00234600 + 0.00643981i
\(742\) 5.26844 + 1.02714i 0.193411 + 0.0377074i
\(743\) 2.44292 1.41042i 0.0896221 0.0517434i −0.454519 0.890737i \(-0.650189\pi\)
0.544141 + 0.838994i \(0.316856\pi\)
\(744\) 4.35199 + 5.84251i 0.159552 + 0.214197i
\(745\) 7.43357 4.29178i 0.272345 0.157239i
\(746\) −0.242947 0.140266i −0.00889494 0.00513549i
\(747\) 24.4581 + 25.8966i 0.894874 + 0.947505i
\(748\) 1.72890 + 0.998178i 0.0632147 + 0.0364970i
\(749\) 10.2323 3.51686i 0.373879 0.128503i
\(750\) −14.0618 + 10.4744i −0.513466 + 0.382472i
\(751\) −21.7233 + 37.6258i −0.792693 + 1.37298i 0.131601 + 0.991303i \(0.457988\pi\)
−0.924294 + 0.381682i \(0.875345\pi\)
\(752\) 13.0737 0.476748
\(753\) 32.0573 + 43.0367i 1.16823 + 1.56834i
\(754\) −0.0135634 0.235114i −0.000493949 0.00856234i
\(755\) 11.4433 0.416464
\(756\) −13.5780 + 2.15382i −0.493826 + 0.0783338i
\(757\) 4.02158 + 6.96557i 0.146167 + 0.253168i 0.929808 0.368046i \(-0.119973\pi\)
−0.783641 + 0.621214i \(0.786640\pi\)
\(758\) 31.6211i 1.14853i
\(759\) 2.73230 + 3.66809i 0.0991762 + 0.133143i
\(760\) −0.0175405 0.0303810i −0.000636260 0.00110204i
\(761\) 34.6666 1.25666 0.628332 0.777945i \(-0.283738\pi\)
0.628332 + 0.777945i \(0.283738\pi\)
\(762\) 0.00504732 + 0.00217562i 0.000182845 + 7.88143e-5i
\(763\) 5.53905 + 16.1158i 0.200527 + 0.583431i
\(764\) 0.971600 0.560953i 0.0351512 0.0202946i
\(765\) 7.44546 1.76877i 0.269191 0.0639501i
\(766\) −22.8482 13.1914i −0.825539 0.476625i
\(767\) −10.8834 + 7.14953i −0.392978 + 0.258155i
\(768\) 1.72029 0.201534i 0.0620755 0.00727225i
\(769\) 37.8048 21.8266i 1.36328 0.787089i 0.373219 0.927743i \(-0.378254\pi\)
0.990059 + 0.140655i \(0.0449207\pi\)
\(770\) 1.87431 2.15371i 0.0675453 0.0776144i
\(771\) −32.3709 43.4577i −1.16581 1.56509i
\(772\) −8.37481 14.5056i −0.301416 0.522068i
\(773\) −15.3590 26.6026i −0.552426 0.956830i −0.998099 0.0616338i \(-0.980369\pi\)
0.445673 0.895196i \(-0.352964\pi\)
\(774\) 15.7976 + 4.72036i 0.567831 + 0.169670i
\(775\) 13.1904 7.61548i