Properties

Label 546.2.ch.a.305.9
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.ch (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.9
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.315262 - 1.70312i) q^{3} +1.00000i q^{4} +(0.258772 - 0.965749i) q^{5} +(-0.981362 + 1.42721i) q^{6} +(-0.443687 - 2.60828i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.80122 + 1.07386i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.315262 - 1.70312i) q^{3} +1.00000i q^{4} +(0.258772 - 0.965749i) q^{5} +(-0.981362 + 1.42721i) q^{6} +(-0.443687 - 2.60828i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.80122 + 1.07386i) q^{9} +(-0.865867 + 0.499908i) q^{10} +(-2.62764 - 0.704074i) q^{11} +(1.70312 - 0.315262i) q^{12} +(3.59766 - 0.238399i) q^{13} +(-1.53060 + 2.15807i) q^{14} +(-1.72636 - 0.136254i) q^{15} -1.00000 q^{16} -2.39192 q^{17} +(2.74009 + 1.22143i) q^{18} +(-0.807382 - 3.01319i) q^{19} +(0.965749 + 0.258772i) q^{20} +(-4.30234 + 1.57794i) q^{21} +(1.36017 + 2.35588i) q^{22} -6.02053 q^{23} +(-1.42721 - 0.981362i) q^{24} +(3.46442 + 2.00018i) q^{25} +(-2.71250 - 2.37536i) q^{26} +(2.71202 + 4.43226i) q^{27} +(2.60828 - 0.443687i) q^{28} +(-2.49077 - 1.43804i) q^{29} +(1.12438 + 1.31707i) q^{30} +(-0.354443 - 1.32280i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-0.370725 + 4.69715i) q^{33} +(1.69134 + 1.69134i) q^{34} +(-2.63376 - 0.246460i) q^{35} +(-1.07386 - 2.80122i) q^{36} +(0.770187 + 0.770187i) q^{37} +(-1.55974 + 2.70155i) q^{38} +(-1.54023 - 6.05208i) q^{39} +(-0.499908 - 0.865867i) q^{40} +(0.406096 - 0.108813i) q^{41} +(4.15799 + 1.92644i) q^{42} +(-3.05357 + 1.76298i) q^{43} +(0.704074 - 2.62764i) q^{44} +(0.312200 + 2.98316i) q^{45} +(4.25716 + 4.25716i) q^{46} +(-0.717315 - 0.192204i) q^{47} +(0.315262 + 1.70312i) q^{48} +(-6.60628 + 2.31452i) q^{49} +(-1.03537 - 3.86406i) q^{50} +(0.754082 + 4.07372i) q^{51} +(0.238399 + 3.59766i) q^{52} +(2.12547 + 1.22714i) q^{53} +(1.21639 - 5.05177i) q^{54} +(-1.35992 + 2.35545i) q^{55} +(-2.15807 - 1.53060i) q^{56} +(-4.87728 + 2.32501i) q^{57} +(0.744387 + 2.77809i) q^{58} +(-7.69807 + 7.69807i) q^{59} +(0.136254 - 1.72636i) q^{60} +(-0.903521 + 1.56494i) q^{61} +(-0.684731 + 1.18599i) q^{62} +(4.04379 + 6.82992i) q^{63} -1.00000i q^{64} +(0.700739 - 3.53613i) q^{65} +(3.58353 - 3.05924i) q^{66} +(-0.116226 - 0.0311427i) q^{67} -2.39192i q^{68} +(1.89804 + 10.2537i) q^{69} +(1.68808 + 2.03662i) q^{70} +(3.68364 - 13.7475i) q^{71} +(-1.22143 + 2.74009i) q^{72} +(4.19031 - 1.12279i) q^{73} -1.08921i q^{74} +(2.31435 - 6.53089i) q^{75} +(3.01319 - 0.807382i) q^{76} +(-0.670575 + 7.16601i) q^{77} +(-3.19036 + 5.36857i) q^{78} +(-5.71760 - 9.90318i) q^{79} +(-0.258772 + 0.965749i) q^{80} +(6.69366 - 6.01622i) q^{81} +(-0.364096 - 0.210211i) q^{82} +(7.50388 + 7.50388i) q^{83} +(-1.57794 - 4.30234i) q^{84} +(-0.618961 + 2.30999i) q^{85} +(3.40581 + 0.912585i) q^{86} +(-1.66391 + 4.69543i) q^{87} +(-2.35588 + 1.36017i) q^{88} +(7.22489 - 7.22489i) q^{89} +(1.88865 - 2.33017i) q^{90} +(-2.21805 - 9.27795i) q^{91} -6.02053i q^{92} +(-2.14114 + 1.02069i) q^{93} +(0.371309 + 0.643127i) q^{94} -3.11891 q^{95} +(0.981362 - 1.42721i) q^{96} +(-4.73874 - 1.26974i) q^{97} +(6.30796 + 3.03473i) q^{98} +(8.11667 - 0.849444i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) −0.315262 1.70312i −0.182017 0.983295i
\(4\) 1.00000i 0.500000i
\(5\) 0.258772 0.965749i 0.115726 0.431896i −0.883614 0.468216i \(-0.844897\pi\)
0.999340 + 0.0363200i \(0.0115636\pi\)
\(6\) −0.981362 + 1.42721i −0.400639 + 0.582656i
\(7\) −0.443687 2.60828i −0.167698 0.985838i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.80122 + 1.07386i −0.933740 + 0.357952i
\(10\) −0.865867 + 0.499908i −0.273811 + 0.158085i
\(11\) −2.62764 0.704074i −0.792263 0.212286i −0.160079 0.987104i \(-0.551175\pi\)
−0.632184 + 0.774818i \(0.717841\pi\)
\(12\) 1.70312 0.315262i 0.491648 0.0910083i
\(13\) 3.59766 0.238399i 0.997812 0.0661200i
\(14\) −1.53060 + 2.15807i −0.409070 + 0.576768i
\(15\) −1.72636 0.136254i −0.445746 0.0351808i
\(16\) −1.00000 −0.250000
\(17\) −2.39192 −0.580126 −0.290063 0.957008i \(-0.593676\pi\)
−0.290063 + 0.957008i \(0.593676\pi\)
\(18\) 2.74009 + 1.22143i 0.645846 + 0.287894i
\(19\) −0.807382 3.01319i −0.185226 0.691273i −0.994582 0.103955i \(-0.966850\pi\)
0.809356 0.587319i \(-0.199816\pi\)
\(20\) 0.965749 + 0.258772i 0.215948 + 0.0578631i
\(21\) −4.30234 + 1.57794i −0.938847 + 0.344336i
\(22\) 1.36017 + 2.35588i 0.289988 + 0.502275i
\(23\) −6.02053 −1.25537 −0.627683 0.778469i \(-0.715997\pi\)
−0.627683 + 0.778469i \(0.715997\pi\)
\(24\) −1.42721 0.981362i −0.291328 0.200320i
\(25\) 3.46442 + 2.00018i 0.692884 + 0.400037i
\(26\) −2.71250 2.37536i −0.531966 0.465846i
\(27\) 2.71202 + 4.43226i 0.521929 + 0.852989i
\(28\) 2.60828 0.443687i 0.492919 0.0838489i
\(29\) −2.49077 1.43804i −0.462524 0.267038i 0.250581 0.968096i \(-0.419378\pi\)
−0.713105 + 0.701057i \(0.752712\pi\)
\(30\) 1.12438 + 1.31707i 0.205282 + 0.240463i
\(31\) −0.354443 1.32280i −0.0636598 0.237582i 0.926764 0.375645i \(-0.122579\pi\)
−0.990423 + 0.138064i \(0.955912\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −0.370725 + 4.69715i −0.0645350 + 0.817668i
\(34\) 1.69134 + 1.69134i 0.290063 + 0.290063i
\(35\) −2.63376 0.246460i −0.445187 0.0416593i
\(36\) −1.07386 2.80122i −0.178976 0.466870i
\(37\) 0.770187 + 0.770187i 0.126618 + 0.126618i 0.767576 0.640958i \(-0.221463\pi\)
−0.640958 + 0.767576i \(0.721463\pi\)
\(38\) −1.55974 + 2.70155i −0.253024 + 0.438250i
\(39\) −1.54023 6.05208i −0.246634 0.969109i
\(40\) −0.499908 0.865867i −0.0790425 0.136906i
\(41\) 0.406096 0.108813i 0.0634216 0.0169938i −0.226969 0.973902i \(-0.572882\pi\)
0.290390 + 0.956908i \(0.406215\pi\)
\(42\) 4.15799 + 1.92644i 0.641591 + 0.297256i
\(43\) −3.05357 + 1.76298i −0.465665 + 0.268852i −0.714423 0.699714i \(-0.753311\pi\)
0.248758 + 0.968566i \(0.419978\pi\)
\(44\) 0.704074 2.62764i 0.106143 0.396131i
\(45\) 0.312200 + 2.98316i 0.0465401 + 0.444703i
\(46\) 4.25716 + 4.25716i 0.627683 + 0.627683i
\(47\) −0.717315 0.192204i −0.104631 0.0280358i 0.206124 0.978526i \(-0.433915\pi\)
−0.310755 + 0.950490i \(0.600582\pi\)
\(48\) 0.315262 + 1.70312i 0.0455042 + 0.245824i
\(49\) −6.60628 + 2.31452i −0.943755 + 0.330646i
\(50\) −1.03537 3.86406i −0.146424 0.546460i
\(51\) 0.754082 + 4.07372i 0.105593 + 0.570435i
\(52\) 0.238399 + 3.59766i 0.0330600 + 0.498906i
\(53\) 2.12547 + 1.22714i 0.291956 + 0.168561i 0.638824 0.769353i \(-0.279421\pi\)
−0.346867 + 0.937914i \(0.612755\pi\)
\(54\) 1.21639 5.05177i 0.165530 0.687459i
\(55\) −1.35992 + 2.35545i −0.183371 + 0.317608i
\(56\) −2.15807 1.53060i −0.288384 0.204535i
\(57\) −4.87728 + 2.32501i −0.646012 + 0.307955i
\(58\) 0.744387 + 2.77809i 0.0977428 + 0.364781i
\(59\) −7.69807 + 7.69807i −1.00220 + 1.00220i −0.00220530 + 0.999998i \(0.500702\pi\)
−0.999998 + 0.00220530i \(0.999298\pi\)
\(60\) 0.136254 1.72636i 0.0175904 0.222873i
\(61\) −0.903521 + 1.56494i −0.115684 + 0.200371i −0.918053 0.396458i \(-0.870239\pi\)
0.802369 + 0.596828i \(0.203573\pi\)
\(62\) −0.684731 + 1.18599i −0.0869609 + 0.150621i
\(63\) 4.04379 + 6.82992i 0.509469 + 0.860489i
\(64\) 1.00000i 0.125000i
\(65\) 0.700739 3.53613i 0.0869160 0.438603i
\(66\) 3.58353 3.05924i 0.441102 0.376567i
\(67\) −0.116226 0.0311427i −0.0141993 0.00380469i 0.251712 0.967802i \(-0.419006\pi\)
−0.265912 + 0.963997i \(0.585673\pi\)
\(68\) 2.39192i 0.290063i
\(69\) 1.89804 + 10.2537i 0.228498 + 1.23440i
\(70\) 1.68808 + 2.03662i 0.201764 + 0.243423i
\(71\) 3.68364 13.7475i 0.437168 1.63153i −0.298657 0.954361i \(-0.596539\pi\)
0.735825 0.677172i \(-0.236795\pi\)
\(72\) −1.22143 + 2.74009i −0.143947 + 0.322923i
\(73\) 4.19031 1.12279i 0.490439 0.131413i −0.00512035 0.999987i \(-0.501630\pi\)
0.495559 + 0.868574i \(0.334963\pi\)
\(74\) 1.08921i 0.126618i
\(75\) 2.31435 6.53089i 0.267238 0.754123i
\(76\) 3.01319 0.807382i 0.345637 0.0926131i
\(77\) −0.670575 + 7.16601i −0.0764191 + 0.816643i
\(78\) −3.19036 + 5.36857i −0.361237 + 0.607871i
\(79\) −5.71760 9.90318i −0.643281 1.11419i −0.984696 0.174282i \(-0.944240\pi\)
0.341415 0.939913i \(-0.389094\pi\)
\(80\) −0.258772 + 0.965749i −0.0289315 + 0.107974i
\(81\) 6.69366 6.01622i 0.743740 0.668469i
\(82\) −0.364096 0.210211i −0.0402077 0.0232139i
\(83\) 7.50388 + 7.50388i 0.823658 + 0.823658i 0.986631 0.162972i \(-0.0521081\pi\)
−0.162972 + 0.986631i \(0.552108\pi\)
\(84\) −1.57794 4.30234i −0.172168 0.469423i
\(85\) −0.618961 + 2.30999i −0.0671357 + 0.250554i
\(86\) 3.40581 + 0.912585i 0.367258 + 0.0984066i
\(87\) −1.66391 + 4.69543i −0.178390 + 0.503403i
\(88\) −2.35588 + 1.36017i −0.251137 + 0.144994i
\(89\) 7.22489 7.22489i 0.765836 0.765836i −0.211534 0.977371i \(-0.567846\pi\)
0.977371 + 0.211534i \(0.0678460\pi\)
\(90\) 1.88865 2.33017i 0.199081 0.245622i
\(91\) −2.21805 9.27795i −0.232514 0.972593i
\(92\) 6.02053i 0.627683i
\(93\) −2.14114 + 1.02069i −0.222026 + 0.105840i
\(94\) 0.371309 + 0.643127i 0.0382977 + 0.0663335i
\(95\) −3.11891 −0.319994
\(96\) 0.981362 1.42721i 0.100160 0.145664i
\(97\) −4.73874 1.26974i −0.481146 0.128923i 0.0100903 0.999949i \(-0.496788\pi\)
−0.491236 + 0.871026i \(0.663455\pi\)
\(98\) 6.30796 + 3.03473i 0.637200 + 0.306554i
\(99\) 8.11667 0.849444i 0.815756 0.0853723i
\(100\) −2.00018 + 3.46442i −0.200018 + 0.346442i
\(101\) −2.21803 3.84175i −0.220703 0.382268i 0.734319 0.678805i \(-0.237502\pi\)
−0.955022 + 0.296537i \(0.904168\pi\)
\(102\) 2.34734 3.41377i 0.232421 0.338014i
\(103\) 6.30061 3.63766i 0.620817 0.358429i −0.156370 0.987699i \(-0.549979\pi\)
0.777187 + 0.629270i \(0.216646\pi\)
\(104\) 2.37536 2.71250i 0.232923 0.265983i
\(105\) 0.410575 + 4.56330i 0.0400680 + 0.445333i
\(106\) −0.635216 2.37066i −0.0616976 0.230259i
\(107\) 19.8288i 1.91692i −0.285230 0.958459i \(-0.592070\pi\)
0.285230 0.958459i \(-0.407930\pi\)
\(108\) −4.43226 + 2.71202i −0.426494 + 0.260965i
\(109\) −3.83882 14.3267i −0.367693 1.37225i −0.863734 0.503948i \(-0.831880\pi\)
0.496041 0.868299i \(-0.334786\pi\)
\(110\) 2.62716 0.703945i 0.250490 0.0671185i
\(111\) 1.06891 1.55453i 0.101456 0.147549i
\(112\) 0.443687 + 2.60828i 0.0419245 + 0.246460i
\(113\) 3.61436 2.08675i 0.340010 0.196305i −0.320266 0.947328i \(-0.603772\pi\)
0.660277 + 0.751022i \(0.270439\pi\)
\(114\) 5.09279 + 1.80473i 0.476983 + 0.169028i
\(115\) −1.55794 + 5.81432i −0.145279 + 0.542188i
\(116\) 1.43804 2.49077i 0.133519 0.231262i
\(117\) −9.82183 + 4.53118i −0.908029 + 0.418908i
\(118\) 10.8867 1.00220
\(119\) 1.06126 + 6.23880i 0.0972858 + 0.571910i
\(120\) −1.31707 + 1.12438i −0.120232 + 0.102641i
\(121\) −3.11751 1.79990i −0.283410 0.163627i
\(122\) 1.74547 0.467697i 0.158027 0.0423433i
\(123\) −0.313348 0.657325i −0.0282537 0.0592690i
\(124\) 1.32280 0.354443i 0.118791 0.0318299i
\(125\) 6.36305 6.36305i 0.569129 0.569129i
\(126\) 1.97009 7.68887i 0.175510 0.684979i
\(127\) 2.36521 + 1.36556i 0.209879 + 0.121173i 0.601255 0.799057i \(-0.294668\pi\)
−0.391376 + 0.920231i \(0.628001\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 3.96524 + 4.64479i 0.349119 + 0.408951i
\(130\) −2.99592 + 2.00492i −0.262759 + 0.175843i
\(131\) 12.6239 7.28842i 1.10296 0.636793i 0.165961 0.986132i \(-0.446927\pi\)
0.936996 + 0.349340i \(0.113594\pi\)
\(132\) −4.69715 0.370725i −0.408834 0.0322675i
\(133\) −7.50103 + 3.44279i −0.650422 + 0.298528i
\(134\) 0.0601631 + 0.104205i 0.00519730 + 0.00900198i
\(135\) 4.98225 1.47219i 0.428803 0.126706i
\(136\) −1.69134 + 1.69134i −0.145031 + 0.145031i
\(137\) −6.26105 + 6.26105i −0.534917 + 0.534917i −0.922032 0.387114i \(-0.873472\pi\)
0.387114 + 0.922032i \(0.373472\pi\)
\(138\) 5.90832 8.59256i 0.502949 0.731447i
\(139\) −11.2557 19.4954i −0.954695 1.65358i −0.735065 0.677996i \(-0.762849\pi\)
−0.219629 0.975583i \(-0.570485\pi\)
\(140\) 0.246460 2.63376i 0.0208296 0.222593i
\(141\) −0.101204 + 1.28227i −0.00852289 + 0.107986i
\(142\) −12.3257 + 7.11625i −1.03435 + 0.597182i
\(143\) −9.62120 1.90659i −0.804566 0.159437i
\(144\) 2.80122 1.07386i 0.233435 0.0894881i
\(145\) −2.03333 + 2.03333i −0.168859 + 0.168859i
\(146\) −3.75693 2.16906i −0.310926 0.179513i
\(147\) 6.02461 + 10.5216i 0.496902 + 0.867807i
\(148\) −0.770187 + 0.770187i −0.0633090 + 0.0633090i
\(149\) 21.6763 5.80816i 1.77580 0.475823i 0.785989 0.618241i \(-0.212154\pi\)
0.989807 + 0.142418i \(0.0454878\pi\)
\(150\) −6.25453 + 2.98155i −0.510680 + 0.243443i
\(151\) 11.9716 3.20779i 0.974237 0.261046i 0.263621 0.964626i \(-0.415083\pi\)
0.710616 + 0.703580i \(0.248416\pi\)
\(152\) −2.70155 1.55974i −0.219125 0.126512i
\(153\) 6.70029 2.56858i 0.541686 0.207657i
\(154\) 5.54131 4.59297i 0.446531 0.370112i
\(155\) −1.36921 −0.109978
\(156\) 6.05208 1.54023i 0.484554 0.123317i
\(157\) −2.86148 + 4.95622i −0.228371 + 0.395550i −0.957325 0.289012i \(-0.906673\pi\)
0.728955 + 0.684562i \(0.240007\pi\)
\(158\) −2.95965 + 11.0456i −0.235457 + 0.878738i
\(159\) 1.41989 4.00680i 0.112604 0.317760i
\(160\) 0.865867 0.499908i 0.0684528 0.0395212i
\(161\) 2.67123 + 15.7032i 0.210522 + 1.23759i
\(162\) −8.98724 0.479024i −0.706104 0.0376357i
\(163\) 22.5241 6.03532i 1.76422 0.472723i 0.776658 0.629923i \(-0.216913\pi\)
0.987567 + 0.157200i \(0.0502468\pi\)
\(164\) 0.108813 + 0.406096i 0.00849688 + 0.0317108i
\(165\) 4.44033 + 1.57352i 0.345679 + 0.122498i
\(166\) 10.6121i 0.823658i
\(167\) −1.91833 7.15930i −0.148445 0.554003i −0.999578 0.0290533i \(-0.990751\pi\)
0.851133 0.524950i \(-0.175916\pi\)
\(168\) −1.92644 + 4.15799i −0.148628 + 0.320796i
\(169\) 12.8863 1.71536i 0.991256 0.131951i
\(170\) 2.07108 1.19574i 0.158845 0.0917091i
\(171\) 5.49739 + 7.57360i 0.420396 + 0.579167i
\(172\) −1.76298 3.05357i −0.134426 0.232832i
\(173\) −8.83631 + 15.3049i −0.671812 + 1.16361i 0.305577 + 0.952167i \(0.401151\pi\)
−0.977390 + 0.211446i \(0.932183\pi\)
\(174\) 4.49673 2.14360i 0.340897 0.162506i
\(175\) 3.67993 9.92364i 0.278176 0.750157i
\(176\) 2.62764 + 0.704074i 0.198066 + 0.0530716i
\(177\) 15.5376 + 10.6838i 1.16788 + 0.803044i
\(178\) −10.2175 −0.765836
\(179\) 4.83492 + 8.37432i 0.361379 + 0.625926i 0.988188 0.153247i \(-0.0489729\pi\)
−0.626809 + 0.779173i \(0.715640\pi\)
\(180\) −2.98316 + 0.312200i −0.222352 + 0.0232700i
\(181\) 5.02844i 0.373761i 0.982383 + 0.186880i \(0.0598377\pi\)
−0.982383 + 0.186880i \(0.940162\pi\)
\(182\) −4.99210 + 8.12889i −0.370039 + 0.602554i
\(183\) 2.95013 + 1.04544i 0.218080 + 0.0772808i
\(184\) −4.25716 + 4.25716i −0.313842 + 0.313842i
\(185\) 0.943109 0.544504i 0.0693388 0.0400328i
\(186\) 2.23575 + 0.792280i 0.163933 + 0.0580928i
\(187\) 6.28510 + 1.68409i 0.459612 + 0.123153i
\(188\) 0.192204 0.717315i 0.0140179 0.0523156i
\(189\) 10.3573 9.04026i 0.753383 0.657582i
\(190\) 2.20540 + 2.20540i 0.159997 + 0.159997i
\(191\) −19.9816 11.5364i −1.44582 0.834745i −0.447592 0.894238i \(-0.647718\pi\)
−0.998229 + 0.0594925i \(0.981052\pi\)
\(192\) −1.70312 + 0.315262i −0.122912 + 0.0227521i
\(193\) −0.188846 + 0.704783i −0.0135934 + 0.0507314i −0.972389 0.233364i \(-0.925027\pi\)
0.958796 + 0.284095i \(0.0916933\pi\)
\(194\) 2.45295 + 4.24863i 0.176112 + 0.305034i
\(195\) −6.24336 0.0786339i −0.447096 0.00563109i
\(196\) −2.31452 6.60628i −0.165323 0.471877i
\(197\) −12.8434 + 3.44137i −0.915051 + 0.245187i −0.685469 0.728102i \(-0.740403\pi\)
−0.229582 + 0.973289i \(0.573736\pi\)
\(198\) −6.34000 5.13870i −0.450564 0.365192i
\(199\) 8.74434i 0.619870i 0.950758 + 0.309935i \(0.100307\pi\)
−0.950758 + 0.309935i \(0.899693\pi\)
\(200\) 3.86406 1.03537i 0.273230 0.0732118i
\(201\) −0.0163980 + 0.207765i −0.00115662 + 0.0146546i
\(202\) −1.14814 + 4.28491i −0.0807828 + 0.301485i
\(203\) −2.64571 + 7.13467i −0.185692 + 0.500755i
\(204\) −4.07372 + 0.754082i −0.285217 + 0.0527963i
\(205\) 0.420345i 0.0293581i
\(206\) −7.02742 1.88299i −0.489623 0.131194i
\(207\) 16.8648 6.46519i 1.17219 0.449362i
\(208\) −3.59766 + 0.238399i −0.249453 + 0.0165300i
\(209\) 8.48603i 0.586991i
\(210\) 2.93642 3.51706i 0.202632 0.242700i
\(211\) −8.87901 + 15.3789i −0.611256 + 1.05873i 0.379773 + 0.925080i \(0.376002\pi\)
−0.991029 + 0.133647i \(0.957331\pi\)
\(212\) −1.22714 + 2.12547i −0.0842805 + 0.145978i
\(213\) −24.5750 1.93960i −1.68385 0.132899i
\(214\) −14.0210 + 14.0210i −0.958459 + 0.958459i
\(215\) 0.912418 + 3.40519i 0.0622264 + 0.232232i
\(216\) 5.05177 + 1.21639i 0.343730 + 0.0827649i
\(217\) −3.29297 + 1.51140i −0.223542 + 0.102600i
\(218\) −7.41604 + 12.8450i −0.502277 + 0.869970i
\(219\) −3.23329 6.78262i −0.218486 0.458327i
\(220\) −2.35545 1.35992i −0.158804 0.0916856i
\(221\) −8.60532 + 0.570231i −0.578856 + 0.0383579i
\(222\) −1.85505 + 0.343386i −0.124503 + 0.0230466i
\(223\) 0.888970 + 3.31768i 0.0595299 + 0.222168i 0.989282 0.146018i \(-0.0466456\pi\)
−0.929752 + 0.368186i \(0.879979\pi\)
\(224\) 1.53060 2.15807i 0.102268 0.144192i
\(225\) −11.8525 1.88266i −0.790167 0.125511i
\(226\) −4.03129 1.08018i −0.268158 0.0718526i
\(227\) −12.3677 12.3677i −0.820873 0.820873i 0.165360 0.986233i \(-0.447121\pi\)
−0.986233 + 0.165360i \(0.947121\pi\)
\(228\) −2.32501 4.87728i −0.153978 0.323006i
\(229\) −1.31243 + 4.89806i −0.0867279 + 0.323673i −0.995636 0.0933240i \(-0.970251\pi\)
0.908908 + 0.416997i \(0.136917\pi\)
\(230\) 5.21298 3.00971i 0.343733 0.198455i
\(231\) 12.4160 1.11711i 0.816911 0.0735001i
\(232\) −2.77809 + 0.744387i −0.182390 + 0.0488714i
\(233\) −12.0628 20.8933i −0.790258 1.36877i −0.925807 0.377996i \(-0.876613\pi\)
0.135549 0.990771i \(-0.456720\pi\)
\(234\) 10.1491 + 3.74106i 0.663468 + 0.244560i
\(235\) −0.371241 + 0.643009i −0.0242171 + 0.0419453i
\(236\) −7.69807 7.69807i −0.501101 0.501101i
\(237\) −15.0637 + 12.8598i −0.978495 + 0.835337i
\(238\) 3.66107 5.16193i 0.237312 0.334598i
\(239\) 13.7771 + 13.7771i 0.891170 + 0.891170i 0.994633 0.103464i \(-0.0329925\pi\)
−0.103464 + 0.994633i \(0.532993\pi\)
\(240\) 1.72636 + 0.136254i 0.111436 + 0.00879519i
\(241\) 6.68381 + 6.68381i 0.430542 + 0.430542i 0.888813 0.458270i \(-0.151531\pi\)
−0.458270 + 0.888813i \(0.651531\pi\)
\(242\) 0.931695 + 3.47713i 0.0598916 + 0.223519i
\(243\) −12.3566 9.50341i −0.792675 0.609644i
\(244\) −1.56494 0.903521i −0.100185 0.0578420i
\(245\) 0.525728 + 6.97894i 0.0335875 + 0.445868i
\(246\) −0.243228 + 0.686370i −0.0155077 + 0.0437613i
\(247\) −3.62303 10.6480i −0.230528 0.677513i
\(248\) −1.18599 0.684731i −0.0753104 0.0434805i
\(249\) 10.4143 15.1457i 0.659980 0.959819i
\(250\) −8.99872 −0.569129
\(251\) 11.7459 + 20.3444i 0.741393 + 1.28413i 0.951861 + 0.306529i \(0.0991678\pi\)
−0.210468 + 0.977601i \(0.567499\pi\)
\(252\) −6.82992 + 4.04379i −0.430244 + 0.254735i
\(253\) 15.8198 + 4.23890i 0.994581 + 0.266497i
\(254\) −0.706864 2.63805i −0.0443526 0.165526i
\(255\) 4.12933 + 0.325910i 0.258588 + 0.0204093i
\(256\) 1.00000 0.0625000
\(257\) 2.71554 0.169390 0.0846952 0.996407i \(-0.473008\pi\)
0.0846952 + 0.996407i \(0.473008\pi\)
\(258\) 0.480515 6.08820i 0.0299156 0.379035i
\(259\) 1.66714 2.35059i 0.103591 0.146058i
\(260\) 3.53613 + 0.700739i 0.219301 + 0.0434580i
\(261\) 8.52144 + 1.35355i 0.527464 + 0.0837827i
\(262\) −14.0802 3.77277i −0.869875 0.233082i
\(263\) 23.2354 13.4150i 1.43276 0.827202i 0.435426 0.900224i \(-0.356598\pi\)
0.997330 + 0.0730218i \(0.0232643\pi\)
\(264\) 3.05924 + 3.58353i 0.188283 + 0.220551i
\(265\) 1.73512 1.73512i 0.106588 0.106588i
\(266\) 7.73845 + 2.86961i 0.474475 + 0.175947i
\(267\) −14.5826 10.0271i −0.892439 0.613648i
\(268\) 0.0311427 0.116226i 0.00190234 0.00709964i
\(269\) 14.3365i 0.874109i −0.899435 0.437055i \(-0.856022\pi\)
0.899435 0.437055i \(-0.143978\pi\)
\(270\) −4.56398 2.48198i −0.277755 0.151049i
\(271\) 11.0330 + 11.0330i 0.670208 + 0.670208i 0.957764 0.287556i \(-0.0928428\pi\)
−0.287556 + 0.957764i \(0.592843\pi\)
\(272\) 2.39192 0.145031
\(273\) −15.1022 + 6.70258i −0.914025 + 0.405659i
\(274\) 8.85446 0.534917
\(275\) −7.69497 7.69497i −0.464024 0.464024i
\(276\) −10.2537 + 1.89804i −0.617198 + 0.114249i
\(277\) 6.79670i 0.408374i −0.978932 0.204187i \(-0.934545\pi\)
0.978932 0.204187i \(-0.0654551\pi\)
\(278\) −5.82637 + 21.7443i −0.349442 + 1.30414i
\(279\) 2.41337 + 3.32483i 0.144485 + 0.199052i
\(280\) −2.03662 + 1.68808i −0.121712 + 0.100882i
\(281\) −13.1459 + 13.1459i −0.784217 + 0.784217i −0.980539 0.196322i \(-0.937100\pi\)
0.196322 + 0.980539i \(0.437100\pi\)
\(282\) 0.978261 0.835137i 0.0582546 0.0497317i
\(283\) −27.7672 + 16.0314i −1.65059 + 0.952968i −0.673760 + 0.738950i \(0.735322\pi\)
−0.976830 + 0.214018i \(0.931345\pi\)
\(284\) 13.7475 + 3.68364i 0.815766 + 0.218584i
\(285\) 0.983275 + 5.31188i 0.0582442 + 0.314648i
\(286\) 5.45505 + 8.15138i 0.322564 + 0.482001i
\(287\) −0.463995 1.01093i −0.0273888 0.0596736i
\(288\) −2.74009 1.22143i −0.161462 0.0719734i
\(289\) −11.2787 −0.663454
\(290\) 2.87556 0.168859
\(291\) −0.668573 + 8.47093i −0.0391925 + 0.496575i
\(292\) 1.12279 + 4.19031i 0.0657063 + 0.245219i
\(293\) 29.4602 + 7.89384i 1.72108 + 0.461163i 0.978098 0.208145i \(-0.0667427\pi\)
0.742985 + 0.669308i \(0.233409\pi\)
\(294\) 3.17985 11.6999i 0.185452 0.682354i
\(295\) 5.44236 + 9.42644i 0.316866 + 0.548829i
\(296\) 1.08921 0.0633090
\(297\) −4.00558 13.5558i −0.232427 0.786590i
\(298\) −19.4345 11.2205i −1.12581 0.649986i
\(299\) −21.6598 + 1.43529i −1.25262 + 0.0830048i
\(300\) 6.53089 + 2.31435i 0.377061 + 0.133619i
\(301\) 5.95318 + 7.18236i 0.343135 + 0.413984i
\(302\) −10.7335 6.19697i −0.617641 0.356595i
\(303\) −5.84369 + 4.98873i −0.335711 + 0.286595i
\(304\) 0.807382 + 3.01319i 0.0463065 + 0.172818i
\(305\) 1.27754 + 1.27754i 0.0731516 + 0.0731516i
\(306\) −6.55408 2.92156i −0.374672 0.167015i
\(307\) −19.5251 19.5251i −1.11436 1.11436i −0.992554 0.121801i \(-0.961133\pi\)
−0.121801 0.992554i \(-0.538867\pi\)
\(308\) −7.16601 0.670575i −0.408322 0.0382096i
\(309\) −8.18170 9.58386i −0.465441 0.545207i
\(310\) 0.968179 + 0.968179i 0.0549888 + 0.0549888i
\(311\) 0.849686 1.47170i 0.0481813 0.0834525i −0.840929 0.541146i \(-0.817991\pi\)
0.889110 + 0.457693i \(0.151324\pi\)
\(312\) −5.36857 3.19036i −0.303936 0.180619i
\(313\) 13.0269 + 22.5633i 0.736325 + 1.27535i 0.954140 + 0.299362i \(0.0967737\pi\)
−0.217815 + 0.975990i \(0.569893\pi\)
\(314\) 5.52795 1.48121i 0.311960 0.0835895i
\(315\) 7.64240 2.13789i 0.430601 0.120457i
\(316\) 9.90318 5.71760i 0.557097 0.321640i
\(317\) −1.99671 + 7.45184i −0.112147 + 0.418537i −0.999058 0.0434034i \(-0.986180\pi\)
0.886911 + 0.461940i \(0.152847\pi\)
\(318\) −3.83725 + 1.82923i −0.215182 + 0.102578i
\(319\) 5.53234 + 5.53234i 0.309752 + 0.309752i
\(320\) −0.965749 0.258772i −0.0539870 0.0144658i
\(321\) −33.7707 + 6.25126i −1.88490 + 0.348911i
\(322\) 9.21503 12.9927i 0.513533 0.724056i
\(323\) 1.93119 + 7.20731i 0.107454 + 0.401025i
\(324\) 6.01622 + 6.69366i 0.334234 + 0.371870i
\(325\) 12.9406 + 6.37007i 0.717818 + 0.353348i
\(326\) −20.1946 11.6593i −1.11847 0.645751i
\(327\) −23.1898 + 11.0546i −1.28240 + 0.611322i
\(328\) 0.210211 0.364096i 0.0116070 0.0201038i
\(329\) −0.183059 + 1.95624i −0.0100924 + 0.107851i
\(330\) −2.02714 4.25243i −0.111591 0.234089i
\(331\) −8.83538 32.9741i −0.485636 1.81242i −0.577178 0.816618i \(-0.695846\pi\)
0.0915418 0.995801i \(-0.470820\pi\)
\(332\) −7.50388 + 7.50388i −0.411829 + 0.411829i
\(333\) −2.98453 1.33039i −0.163551 0.0729050i
\(334\) −3.70593 + 6.41885i −0.202779 + 0.351224i
\(335\) −0.0601520 + 0.104186i −0.00328646 + 0.00569231i
\(336\) 4.30234 1.57794i 0.234712 0.0860839i
\(337\) 10.9669i 0.597406i −0.954346 0.298703i \(-0.903446\pi\)
0.954346 0.298703i \(-0.0965539\pi\)
\(338\) −10.3250 7.89907i −0.561603 0.429653i
\(339\) −4.69345 5.49781i −0.254913 0.298600i
\(340\) −2.30999 0.618961i −0.125277 0.0335679i
\(341\) 3.72539i 0.201741i
\(342\) 1.46810 9.24258i 0.0793857 0.499782i
\(343\) 8.96805 + 16.2041i 0.484229 + 0.874941i
\(344\) −0.912585 + 3.40581i −0.0492033 + 0.183629i
\(345\) 10.3936 + 0.820324i 0.559574 + 0.0441647i
\(346\) 17.0704 4.57401i 0.917713 0.245900i
\(347\) 25.9795i 1.39465i 0.716754 + 0.697327i \(0.245627\pi\)
−0.716754 + 0.697327i \(0.754373\pi\)
\(348\) −4.69543 1.66391i −0.251701 0.0891952i
\(349\) −22.9606 + 6.15227i −1.22905 + 0.329324i −0.814210 0.580570i \(-0.802830\pi\)
−0.414842 + 0.909893i \(0.636163\pi\)
\(350\) −9.61918 + 4.41497i −0.514167 + 0.235990i
\(351\) 10.8136 + 15.2992i 0.577187 + 0.816612i
\(352\) −1.36017 2.35588i −0.0724971 0.125569i
\(353\) 5.04647 18.8337i 0.268596 1.00242i −0.691416 0.722457i \(-0.743013\pi\)
0.960012 0.279958i \(-0.0903206\pi\)
\(354\) −3.43217 18.5413i −0.182418 0.985462i
\(355\) −12.3234 7.11495i −0.654061 0.377622i
\(356\) 7.22489 + 7.22489i 0.382918 + 0.382918i
\(357\) 10.2908 3.77431i 0.544649 0.199758i
\(358\) 2.50274 9.34034i 0.132274 0.493652i
\(359\) 14.5356 + 3.89480i 0.767160 + 0.205560i 0.621116 0.783718i \(-0.286679\pi\)
0.146043 + 0.989278i \(0.453346\pi\)
\(360\) 2.33017 + 1.88865i 0.122811 + 0.0995407i
\(361\) 8.02703 4.63441i 0.422475 0.243916i
\(362\) 3.55564 3.55564i 0.186880 0.186880i
\(363\) −2.08260 + 5.87693i −0.109308 + 0.308459i
\(364\) 9.27795 2.21805i 0.486296 0.116257i
\(365\) 4.33733i 0.227026i
\(366\) −1.34682 2.82529i −0.0703996 0.147680i
\(367\) 11.9462 + 20.6914i 0.623585 + 1.08008i 0.988813 + 0.149162i \(0.0476578\pi\)
−0.365228 + 0.930918i \(0.619009\pi\)
\(368\) 6.02053 0.313842
\(369\) −1.02071 + 0.740899i −0.0531363 + 0.0385697i
\(370\) −1.05190 0.281856i −0.0546858 0.0146530i
\(371\) 2.25769 6.08831i 0.117214 0.316089i
\(372\) −1.02069 2.14114i −0.0529201 0.111013i
\(373\) −9.33247 + 16.1643i −0.483217 + 0.836956i −0.999814 0.0192724i \(-0.993865\pi\)
0.516598 + 0.856228i \(0.327198\pi\)
\(374\) −3.25341 5.63507i −0.168230 0.291382i
\(375\) −12.8431 8.83100i −0.663213 0.456031i
\(376\) −0.643127 + 0.371309i −0.0331667 + 0.0191488i
\(377\) −9.30376 4.57980i −0.479168 0.235872i
\(378\) −13.7161 0.931288i −0.705483 0.0479003i
\(379\) −6.24281 23.2985i −0.320672 1.19676i −0.918592 0.395207i \(-0.870673\pi\)
0.597921 0.801555i \(-0.295994\pi\)
\(380\) 3.11891i 0.159997i
\(381\) 1.58004 4.45874i 0.0809479 0.228428i
\(382\) 5.97168 + 22.2866i 0.305538 + 1.14028i
\(383\) 33.3679 8.94090i 1.70502 0.456859i 0.730825 0.682565i \(-0.239136\pi\)
0.974195 + 0.225707i \(0.0724691\pi\)
\(384\) 1.42721 + 0.981362i 0.0728320 + 0.0500799i
\(385\) 6.74705 + 2.50197i 0.343861 + 0.127512i
\(386\) 0.631891 0.364823i 0.0321624 0.0185690i
\(387\) 6.66053 8.21759i 0.338574 0.417723i
\(388\) 1.26974 4.73874i 0.0644613 0.240573i
\(389\) −2.31745 + 4.01394i −0.117499 + 0.203515i −0.918776 0.394779i \(-0.870821\pi\)
0.801277 + 0.598294i \(0.204154\pi\)
\(390\) 4.35912 + 4.47032i 0.220733 + 0.226364i
\(391\) 14.4006 0.728271
\(392\) −3.03473 + 6.30796i −0.153277 + 0.318600i
\(393\) −16.3929 19.2023i −0.826912 0.968626i
\(394\) 11.5150 + 6.64821i 0.580119 + 0.334932i
\(395\) −11.0435 + 2.95911i −0.555661 + 0.148889i
\(396\) 0.849444 + 8.11667i 0.0426862 + 0.407878i
\(397\) −25.0585 + 6.71440i −1.25765 + 0.336986i −0.825287 0.564713i \(-0.808987\pi\)
−0.432363 + 0.901700i \(0.642320\pi\)
\(398\) 6.18318 6.18318i 0.309935 0.309935i
\(399\) 8.22827 + 11.6898i 0.411929 + 0.585220i
\(400\) −3.46442 2.00018i −0.173221 0.100009i
\(401\) −3.93609 + 3.93609i −0.196559 + 0.196559i −0.798523 0.601964i \(-0.794385\pi\)
0.601964 + 0.798523i \(0.294385\pi\)
\(402\) 0.158507 0.135317i 0.00790561 0.00674899i
\(403\) −1.59052 4.67448i −0.0792294 0.232853i
\(404\) 3.84175 2.21803i 0.191134 0.110351i
\(405\) −4.07803 8.02122i −0.202639 0.398578i
\(406\) 6.91577 3.17417i 0.343224 0.157532i
\(407\) −1.48150 2.56604i −0.0734354 0.127194i
\(408\) 3.41377 + 2.34734i 0.169007 + 0.116211i
\(409\) 28.0275 28.0275i 1.38587 1.38587i 0.552083 0.833789i \(-0.313833\pi\)
0.833789 0.552083i \(-0.186167\pi\)
\(410\) −0.297229 + 0.297229i −0.0146791 + 0.0146791i
\(411\) 12.6372 + 8.68943i 0.623346 + 0.428618i
\(412\) 3.63766 + 6.30061i 0.179215 + 0.310409i
\(413\) 23.4943 + 16.6632i 1.15608 + 0.819943i
\(414\) −16.4968 7.35365i −0.810774 0.361412i
\(415\) 9.18866 5.30508i 0.451054 0.260416i
\(416\) 2.71250 + 2.37536i 0.132991 + 0.116461i
\(417\) −29.6545 + 25.3159i −1.45219 + 1.23973i
\(418\) 6.00053 6.00053i 0.293496 0.293496i
\(419\) 0.209157 + 0.120757i 0.0102180 + 0.00589935i 0.505100 0.863061i \(-0.331456\pi\)
−0.494882 + 0.868960i \(0.664789\pi\)
\(420\) −4.56330 + 0.410575i −0.222666 + 0.0200340i
\(421\) 6.40219 6.40219i 0.312024 0.312024i −0.533669 0.845693i \(-0.679187\pi\)
0.845693 + 0.533669i \(0.179187\pi\)
\(422\) 17.1529 4.59611i 0.834992 0.223735i
\(423\) 2.21576 0.231888i 0.107734 0.0112748i
\(424\) 2.37066 0.635216i 0.115129 0.0308488i
\(425\) −8.28661 4.78428i −0.401960 0.232072i
\(426\) 16.0056 + 18.7486i 0.775476 + 0.908375i
\(427\) 4.48270 + 1.66229i 0.216933 + 0.0804441i
\(428\) 19.8288 0.958459
\(429\) −0.213950 + 16.9871i −0.0103296 + 0.820146i
\(430\) 1.76266 3.05301i 0.0850028 0.147229i
\(431\) −0.795097 + 2.96734i −0.0382985 + 0.142932i −0.982428 0.186644i \(-0.940239\pi\)
0.944129 + 0.329576i \(0.106906\pi\)
\(432\) −2.71202 4.43226i −0.130482 0.213247i
\(433\) 17.7654 10.2569i 0.853750 0.492913i −0.00816416 0.999967i \(-0.502599\pi\)
0.861914 + 0.507054i \(0.169265\pi\)
\(434\) 3.39720 + 1.25976i 0.163071 + 0.0604706i
\(435\) 4.10403 + 2.82197i 0.196773 + 0.135303i
\(436\) 14.3267 3.83882i 0.686124 0.183846i
\(437\) 4.86087 + 18.1410i 0.232527 + 0.867802i
\(438\) −2.50975 + 7.08232i −0.119921 + 0.338406i
\(439\) 20.2834i 0.968075i 0.875047 + 0.484038i \(0.160830\pi\)
−0.875047 + 0.484038i \(0.839170\pi\)
\(440\) 0.703945 + 2.62716i 0.0335593 + 0.125245i
\(441\) 16.0202 13.5777i 0.762866 0.646557i
\(442\) 6.48809 + 5.68166i 0.308607 + 0.270249i
\(443\) −26.0451 + 15.0372i −1.23744 + 0.714437i −0.968570 0.248740i \(-0.919984\pi\)
−0.268870 + 0.963176i \(0.586650\pi\)
\(444\) 1.55453 + 1.06891i 0.0737747 + 0.0507281i
\(445\) −5.10783 8.84702i −0.242134 0.419389i
\(446\) 1.71736 2.97455i 0.0813193 0.140849i
\(447\) −16.7257 35.0863i −0.791099 1.65952i
\(448\) −2.60828 + 0.443687i −0.123230 + 0.0209622i
\(449\) 25.8278 + 6.92055i 1.21889 + 0.326601i 0.810244 0.586092i \(-0.199334\pi\)
0.408646 + 0.912693i \(0.366001\pi\)
\(450\) 7.04975 + 9.71223i 0.332328 + 0.457839i
\(451\) −1.14369 −0.0538541
\(452\) 2.08675 + 3.61436i 0.0981525 + 0.170005i
\(453\) −9.23744 19.3778i −0.434013 0.910448i
\(454\) 17.4906i 0.820873i
\(455\) −9.53413 0.258793i −0.446967 0.0121324i
\(456\) −1.80473 + 5.09279i −0.0845141 + 0.238492i
\(457\) −1.89243 + 1.89243i −0.0885243 + 0.0885243i −0.749982 0.661458i \(-0.769938\pi\)
0.661458 + 0.749982i \(0.269938\pi\)
\(458\) 4.39148 2.53542i 0.205200 0.118473i
\(459\) −6.48694 10.6016i −0.302785 0.494841i
\(460\) −5.81432 1.55794i −0.271094 0.0726394i
\(461\) −0.317785 + 1.18599i −0.0148007 + 0.0552371i −0.972931 0.231095i \(-0.925769\pi\)
0.958131 + 0.286332i \(0.0924360\pi\)
\(462\) −9.56933 7.98951i −0.445206 0.371705i
\(463\) 0.583009 + 0.583009i 0.0270947 + 0.0270947i 0.720524 0.693430i \(-0.243901\pi\)
−0.693430 + 0.720524i \(0.743901\pi\)
\(464\) 2.49077 + 1.43804i 0.115631 + 0.0667595i
\(465\) 0.431660 + 2.33193i 0.0200178 + 0.108141i
\(466\) −6.24415 + 23.3035i −0.289254 + 1.07951i
\(467\) 12.3655 + 21.4176i 0.572206 + 0.991089i 0.996339 + 0.0854895i \(0.0272454\pi\)
−0.424133 + 0.905600i \(0.639421\pi\)
\(468\) −4.53118 9.82183i −0.209454 0.454014i
\(469\) −0.0296610 + 0.316968i −0.00136962 + 0.0146362i
\(470\) 0.717183 0.192169i 0.0330812 0.00886408i
\(471\) 9.34315 + 3.31092i 0.430510 + 0.152559i
\(472\) 10.8867i 0.501101i
\(473\) 9.26494 2.48253i 0.426003 0.114147i
\(474\) 19.7450 + 1.55838i 0.906916 + 0.0715789i
\(475\) 3.22982 12.0539i 0.148194 0.553069i
\(476\) −6.23880 + 1.06126i −0.285955 + 0.0486429i
\(477\) −7.27170 1.15504i −0.332948 0.0528857i
\(478\) 19.4838i 0.891170i
\(479\) 33.5692 + 8.99484i 1.53382 + 0.410985i 0.924261 0.381760i \(-0.124682\pi\)
0.609554 + 0.792745i \(0.291349\pi\)
\(480\) −1.12438 1.31707i −0.0513206 0.0601158i
\(481\) 2.95448 + 2.58726i 0.134713 + 0.117969i
\(482\) 9.45234i 0.430542i
\(483\) 25.9023 9.50006i 1.17860 0.432267i
\(484\) 1.79990 3.11751i 0.0818135 0.141705i
\(485\) −2.45250 + 4.24786i −0.111362 + 0.192885i
\(486\) 2.01750 + 15.4574i 0.0915158 + 0.701160i
\(487\) 14.4968 14.4968i 0.656912 0.656912i −0.297736 0.954648i \(-0.596231\pi\)
0.954648 + 0.297736i \(0.0962315\pi\)
\(488\) 0.467697 + 1.74547i 0.0211717 + 0.0790137i
\(489\) −17.3799 36.4585i −0.785944 1.64871i
\(490\) 4.56311 5.30660i 0.206140 0.239728i
\(491\) 9.58871 16.6081i 0.432732 0.749514i −0.564375 0.825518i \(-0.690883\pi\)
0.997107 + 0.0760042i \(0.0242162\pi\)
\(492\) 0.657325 0.313348i 0.0296345 0.0141268i
\(493\) 5.95771 + 3.43969i 0.268322 + 0.154916i
\(494\) −4.96738 + 10.0911i −0.223493 + 0.454021i
\(495\) 1.28001 8.05848i 0.0575324 0.362202i
\(496\) 0.354443 + 1.32280i 0.0159150 + 0.0593954i
\(497\) −37.4919 3.50838i −1.68174 0.157372i
\(498\) −18.0736 + 3.34559i −0.809900 + 0.149920i
\(499\) −19.3527 5.18555i −0.866348 0.232137i −0.201840 0.979418i \(-0.564692\pi\)
−0.664508 + 0.747281i \(0.731359\pi\)
\(500\) 6.36305 + 6.36305i 0.284564 + 0.284564i
\(501\) −11.5884 + 5.52419i −0.517729 + 0.246803i
\(502\) 6.08011 22.6913i 0.271369 1.01276i
\(503\) 28.1802 16.2699i 1.25649 0.725437i 0.284103 0.958794i \(-0.408304\pi\)
0.972391 + 0.233357i \(0.0749710\pi\)
\(504\) 7.68887 + 1.97009i 0.342490 + 0.0877549i
\(505\) −4.28413 + 1.14793i −0.190641 + 0.0510821i
\(506\) −8.18892 14.1836i −0.364042 0.630539i
\(507\) −6.98403 21.4062i −0.310172 0.950681i
\(508\) −1.36556 + 2.36521i −0.0605867 + 0.104939i
\(509\) −7.11266 7.11266i −0.315263 0.315263i 0.531681 0.846944i \(-0.321560\pi\)
−0.846944 + 0.531681i \(0.821560\pi\)
\(510\) −2.68942 3.15033i −0.119090 0.139499i
\(511\) −4.78774 10.4313i −0.211797 0.461456i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 11.1656 11.7504i 0.492974 0.518792i
\(514\) −1.92017 1.92017i −0.0846952 0.0846952i
\(515\) −1.88265 7.02613i −0.0829593 0.309608i
\(516\) −4.64479 + 3.96524i −0.204475 + 0.174560i
\(517\) 1.74952 + 1.01009i 0.0769437 + 0.0444235i
\(518\) −2.84096 + 0.483267i −0.124825 + 0.0212336i
\(519\) 28.8519 + 10.2242i 1.26646 + 0.448793i
\(520\) −2.00492 2.99592i −0.0879217 0.131380i
\(521\) −9.70219 5.60156i −0.425060 0.245409i 0.272180 0.962246i \(-0.412256\pi\)
−0.697240 + 0.716838i \(0.745589\pi\)
\(522\) −5.06846 6.98267i −0.221840 0.305623i
\(523\) 25.7922 1.12781 0.563906 0.825839i \(-0.309298\pi\)
0.563906 + 0.825839i \(0.309298\pi\)
\(524\) 7.28842 + 12.6239i 0.318396 + 0.551479i
\(525\) −18.0613 3.13880i −0.788258 0.136988i
\(526\) −25.9157 6.94410i −1.12998 0.302777i
\(527\) 0.847799 + 3.16403i 0.0369307 + 0.137827i
\(528\) 0.370725 4.69715i 0.0161337 0.204417i
\(529\) 13.2468 0.575946
\(530\) −2.45384 −0.106588
\(531\) 13.2974 29.8306i 0.577056 1.29454i
\(532\) −3.44279 7.50103i −0.149264 0.325211i
\(533\) 1.43506 0.488286i 0.0621592 0.0211500i
\(534\) 3.22120 + 17.4017i 0.139395 + 0.753044i
\(535\) −19.1496 5.13112i −0.827909 0.221838i
\(536\) −0.104205 + 0.0601631i −0.00450099 + 0.00259865i
\(537\) 12.7382 10.8745i 0.549693 0.469271i
\(538\) −10.1374 + 10.1374i −0.437055 + 0.437055i
\(539\) 18.9885 1.43042i 0.817894 0.0616124i
\(540\) 1.47219 + 4.98225i 0.0633530 + 0.214402i
\(541\) −8.11996 + 30.3041i −0.349104 + 1.30288i 0.538639 + 0.842537i \(0.318939\pi\)
−0.887743 + 0.460339i \(0.847728\pi\)
\(542\) 15.6030i 0.670208i
\(543\) 8.56402 1.58528i 0.367517 0.0680307i
\(544\) −1.69134 1.69134i −0.0725157 0.0725157i
\(545\) −14.8294 −0.635220
\(546\) 15.4183 + 5.93940i 0.659842 + 0.254183i
\(547\) −34.3963 −1.47068 −0.735340 0.677699i \(-0.762977\pi\)
−0.735340 + 0.677699i \(0.762977\pi\)
\(548\) −6.26105 6.26105i −0.267459 0.267459i
\(549\) 0.850434 5.35401i 0.0362957 0.228503i
\(550\) 10.8823i 0.464024i
\(551\) −2.32210 + 8.66620i −0.0989249 + 0.369193i
\(552\) 8.59256 + 5.90832i 0.365724 + 0.251475i
\(553\) −23.2935 + 19.3070i −0.990539 + 0.821019i
\(554\) −4.80600 + 4.80600i −0.204187 + 0.204187i
\(555\) −1.22468 1.43456i −0.0519849 0.0608939i
\(556\) 19.4954 11.2557i 0.826790 0.477347i
\(557\) 5.45470 + 1.46158i 0.231123 + 0.0619293i 0.372522 0.928023i \(-0.378493\pi\)
−0.141398 + 0.989953i \(0.545160\pi\)
\(558\) 0.644499 4.05752i 0.0272838 0.171768i
\(559\) −10.5654 + 7.07057i −0.446869 + 0.299053i
\(560\) 2.63376 + 0.246460i 0.111297 + 0.0104148i
\(561\) 0.886745 11.2352i 0.0374384 0.474350i
\(562\) 18.5911 0.784217
\(563\) 33.6191 1.41688 0.708438 0.705773i \(-0.249400\pi\)
0.708438 + 0.705773i \(0.249400\pi\)
\(564\) −1.28227 0.101204i −0.0539931 0.00426144i
\(565\) −1.07998 4.03056i −0.0454353 0.169567i
\(566\) 30.9703 + 8.29847i 1.30178 + 0.348811i
\(567\) −18.6619 14.7896i −0.783726 0.621107i
\(568\) −7.11625 12.3257i −0.298591 0.517175i
\(569\) −17.5200 −0.734475 −0.367237 0.930127i \(-0.619696\pi\)
−0.367237 + 0.930127i \(0.619696\pi\)
\(570\) 3.06078 4.45134i 0.128202 0.186446i
\(571\) −26.9908 15.5831i −1.12953 0.652134i −0.185712 0.982604i \(-0.559459\pi\)
−0.943816 + 0.330470i \(0.892793\pi\)
\(572\) 1.90659 9.62120i 0.0797186 0.402283i
\(573\) −13.3484 + 37.6681i −0.557638 + 1.57361i
\(574\) −0.386745 + 1.04293i −0.0161424 + 0.0435312i
\(575\) −20.8576 12.0422i −0.869823 0.502193i
\(576\) 1.07386 + 2.80122i 0.0447440 + 0.116717i
\(577\) −7.26401 27.1097i −0.302405 1.12859i −0.935156 0.354235i \(-0.884741\pi\)
0.632752 0.774355i \(-0.281925\pi\)
\(578\) 7.97526 + 7.97526i 0.331727 + 0.331727i
\(579\) 1.25986 + 0.0994356i 0.0523582 + 0.00413240i
\(580\) −2.03333 2.03333i −0.0844294 0.0844294i
\(581\) 16.2429 22.9016i 0.673868 0.950120i
\(582\) 6.46260 5.51710i 0.267883 0.228691i
\(583\) −4.72098 4.72098i −0.195523 0.195523i
\(584\) 2.16906 3.75693i 0.0897565 0.155463i
\(585\) 1.83437 + 10.6580i 0.0758420 + 0.440653i
\(586\) −15.2497 26.4133i −0.629960 1.09112i
\(587\) −31.1188 + 8.33825i −1.28441 + 0.344156i −0.835534 0.549438i \(-0.814842\pi\)
−0.448875 + 0.893595i \(0.648175\pi\)
\(588\) −10.5216 + 6.02461i −0.433903 + 0.248451i
\(589\) −3.69967 + 2.13601i −0.152442 + 0.0880127i
\(590\) 2.81717 10.5138i 0.115981 0.432847i
\(591\) 9.91008 + 20.7888i 0.407646 + 0.855137i
\(592\) −0.770187 0.770187i −0.0316545 0.0316545i
\(593\) 35.2590 + 9.44763i 1.44791 + 0.387967i 0.895298 0.445468i \(-0.146963\pi\)
0.552617 + 0.833436i \(0.313629\pi\)
\(594\) −6.75306 + 12.4178i −0.277081 + 0.509509i
\(595\) 6.29974 + 0.589512i 0.258264 + 0.0241676i
\(596\) 5.80816 + 21.6763i 0.237911 + 0.887898i
\(597\) 14.8926 2.75676i 0.609515 0.112827i
\(598\) 16.3307 + 14.3009i 0.667812 + 0.584807i
\(599\) −33.3012 19.2265i −1.36065 0.785572i −0.370941 0.928656i \(-0.620965\pi\)
−0.989711 + 0.143084i \(0.954298\pi\)
\(600\) −2.98155 6.25453i −0.121721 0.255340i
\(601\) 3.79158 6.56721i 0.154662 0.267882i −0.778274 0.627925i \(-0.783905\pi\)
0.932936 + 0.360043i \(0.117238\pi\)
\(602\) 0.869166 9.28823i 0.0354245 0.378560i
\(603\) 0.359018 0.0375727i 0.0146203 0.00153008i
\(604\) 3.20779 + 11.9716i 0.130523 + 0.487118i
\(605\) −2.54497 + 2.54497i −0.103468 + 0.103468i
\(606\) 7.65967 + 0.604545i 0.311153 + 0.0245580i
\(607\) −12.8583 + 22.2711i −0.521900 + 0.903958i 0.477775 + 0.878482i \(0.341443\pi\)
−0.999675 + 0.0254758i \(0.991890\pi\)
\(608\) 1.55974 2.70155i 0.0632559 0.109562i
\(609\) 12.9853 + 2.25666i 0.526190 + 0.0914445i
\(610\) 1.80671i 0.0731516i
\(611\) −2.62648 0.520478i −0.106256 0.0210563i
\(612\) 2.56858 + 6.70029i 0.103829 + 0.270843i
\(613\) 16.8054 + 4.50299i 0.678763 + 0.181874i 0.581699 0.813404i \(-0.302388\pi\)
0.0970638 + 0.995278i \(0.469055\pi\)
\(614\) 27.6127i 1.11436i
\(615\) −0.715897 + 0.132519i −0.0288677 + 0.00534367i
\(616\) 4.59297 + 5.54131i 0.185056 + 0.223266i
\(617\) 6.86571 25.6232i 0.276403 1.03155i −0.678492 0.734607i \(-0.737366\pi\)
0.954895 0.296942i \(-0.0959670\pi\)
\(618\) −0.991476 + 12.5622i −0.0398830 + 0.505324i
\(619\) −34.5242 + 9.25074i −1.38765 + 0.371819i −0.873892 0.486119i \(-0.838412\pi\)
−0.513753 + 0.857938i \(0.671745\pi\)
\(620\) 1.36921i 0.0549888i
\(621\) −16.3278 26.6845i −0.655213 1.07081i
\(622\) −1.64147 + 0.439830i −0.0658169 + 0.0176356i
\(623\) −22.0501 15.6390i −0.883420 0.626562i
\(624\) 1.54023 + 6.05208i 0.0616585 + 0.242277i
\(625\) 5.50238 + 9.53040i 0.220095 + 0.381216i
\(626\) 6.74323 25.1661i 0.269514 1.00584i
\(627\) 14.4527 2.67533i 0.577186 0.106842i
\(628\) −4.95622 2.86148i −0.197775 0.114185i
\(629\) −1.84222 1.84222i −0.0734543 0.0734543i
\(630\) −6.91572 3.89228i −0.275529 0.155072i
\(631\) −1.50154 + 5.60383i −0.0597754 + 0.223085i −0.989352 0.145545i \(-0.953506\pi\)
0.929576 + 0.368630i \(0.120173\pi\)
\(632\) −11.0456 2.95965i −0.439369 0.117729i
\(633\) 28.9913 + 10.2736i 1.15230 + 0.408340i
\(634\) 6.68113 3.85735i 0.265342 0.153195i
\(635\) 1.93083 1.93083i 0.0766228 0.0766228i
\(636\) 4.00680 + 1.41989i 0.158880 + 0.0563022i
\(637\) −23.2154 + 9.90180i −0.919827 + 0.392323i
\(638\) 7.82392i 0.309752i
\(639\) 4.44420 + 42.4656i 0.175810 + 1.67991i
\(640\) 0.499908 + 0.865867i 0.0197606 + 0.0342264i
\(641\) −3.15937 −0.124787 −0.0623937 0.998052i \(-0.519873\pi\)
−0.0623937 + 0.998052i \(0.519873\pi\)
\(642\) 28.2998 + 19.4592i 1.11690 + 0.767993i
\(643\) −6.54863 1.75470i −0.258253 0.0691986i 0.127370 0.991855i \(-0.459347\pi\)
−0.385622 + 0.922657i \(0.626013\pi\)
\(644\) −15.7032 + 2.67123i −0.618794 + 0.105261i
\(645\) 5.51179 2.62748i 0.217026 0.103457i
\(646\) 3.73078 6.46190i 0.146785 0.254240i
\(647\) 12.2604 + 21.2357i 0.482008 + 0.834861i 0.999787 0.0206528i \(-0.00657446\pi\)
−0.517779 + 0.855514i \(0.673241\pi\)
\(648\) 0.479024 8.98724i 0.0188179 0.353052i
\(649\) 25.6477 14.8077i 1.00676 0.581254i
\(650\) −4.64610 13.6547i −0.182235 0.535583i
\(651\) 3.61223 + 5.13183i 0.141575 + 0.201132i
\(652\) 6.03532 + 22.5241i 0.236361 + 0.882112i
\(653\) 16.0114i 0.626573i 0.949659 + 0.313287i \(0.101430\pi\)
−0.949659 + 0.313287i \(0.898570\pi\)
\(654\) 24.2145 + 8.58086i 0.946860 + 0.335538i
\(655\) −3.77207 14.0776i −0.147387 0.550056i
\(656\) −0.406096 + 0.108813i −0.0158554 + 0.00424844i
\(657\) −10.5323 + 7.64498i −0.410903 + 0.298259i
\(658\) 1.51271 1.25383i 0.0589717 0.0488793i
\(659\) 20.1690 11.6446i 0.785671 0.453608i −0.0527651 0.998607i \(-0.516803\pi\)
0.838436 + 0.544999i \(0.183470\pi\)
\(660\) −1.57352 + 4.44033i −0.0612490 + 0.172840i
\(661\) 2.84919 10.6333i 0.110821 0.413588i −0.888120 0.459612i \(-0.847988\pi\)
0.998940 + 0.0460240i \(0.0146551\pi\)
\(662\) −17.0686 + 29.5638i −0.663392 + 1.14903i
\(663\) 3.68410 + 14.4761i 0.143079 + 0.562205i
\(664\) 10.6121 0.411829
\(665\) 1.38382 + 8.13501i 0.0536623 + 0.315462i
\(666\) 1.16965 + 3.05111i 0.0453232 + 0.118228i
\(667\) 14.9957 + 8.65779i 0.580637 + 0.335231i
\(668\) 7.15930 1.91833i 0.277002 0.0742223i
\(669\) 5.37014 2.55996i 0.207622 0.0989738i
\(670\) 0.116205 0.0311370i 0.00448938 0.00120293i
\(671\) 3.47596 3.47596i 0.134188 0.134188i
\(672\) −4.15799 1.92644i −0.160398 0.0743139i
\(673\) 18.9312 + 10.9299i 0.729745 + 0.421318i 0.818329 0.574750i \(-0.194901\pi\)
−0.0885839 + 0.996069i \(0.528234\pi\)
\(674\) −7.75478 + 7.75478i −0.298703 + 0.298703i
\(675\) 0.530254 + 20.7797i 0.0204095 + 0.799813i
\(676\) 1.71536 + 12.8863i 0.0659753 + 0.495628i
\(677\) 23.4518 13.5399i 0.901327 0.520381i 0.0236963 0.999719i \(-0.492457\pi\)
0.877630 + 0.479338i \(0.159123\pi\)
\(678\) −0.568763 + 7.20631i −0.0218432 + 0.276757i
\(679\) −1.20933 + 12.9233i −0.0464098 + 0.495952i
\(680\) 1.19574 + 2.07108i 0.0458546 + 0.0794224i
\(681\) −17.1646 + 24.9627i −0.657748 + 0.956573i
\(682\) 2.63425 2.63425i 0.100871 0.100871i
\(683\) −14.0948 + 14.0948i −0.539324 + 0.539324i −0.923331 0.384006i \(-0.874544\pi\)
0.384006 + 0.923331i \(0.374544\pi\)
\(684\) −7.57360 + 5.49739i −0.289584 + 0.210198i
\(685\) 4.42642 + 7.66678i 0.169125 + 0.292933i
\(686\) 5.11669 17.7994i 0.195356 0.679585i
\(687\) 8.75573 + 0.691052i 0.334052 + 0.0263653i
\(688\) 3.05357 1.76298i 0.116416 0.0672129i
\(689\) 7.93929 + 3.90813i 0.302463 + 0.148888i
\(690\) −6.76935 7.92946i −0.257705 0.301869i
\(691\) −20.3155 + 20.3155i −0.772839 + 0.772839i −0.978602 0.205763i \(-0.934032\pi\)
0.205763 + 0.978602i \(0.434032\pi\)
\(692\) −15.3049 8.83631i −0.581807 0.335906i
\(693\) −5.81685 20.7937i −0.220964 0.789887i
\(694\) 18.3703 18.3703i 0.697327 0.697327i
\(695\) −21.7403 + 5.82530i −0.824658 + 0.220966i
\(696\) 2.14360 + 4.49673i 0.0812531 + 0.170448i
\(697\) −0.971349 + 0.260272i −0.0367925 + 0.00985852i
\(698\) 20.5859 + 11.8853i 0.779188 + 0.449864i
\(699\) −31.7808 + 27.1312i −1.20206 + 1.02620i
\(700\) 9.92364 + 3.67993i 0.375078 + 0.139088i
\(701\) −7.84194 −0.296186 −0.148093 0.988973i \(-0.547313\pi\)
−0.148093 + 0.988973i \(0.547313\pi\)
\(702\) 3.17183 18.4645i 0.119713 0.696899i
\(703\) 1.69888 2.94255i 0.0640746 0.110981i
\(704\) −0.704074 + 2.62764i −0.0265358 + 0.0990329i
\(705\) 1.21216 + 0.429551i 0.0456525 + 0.0161778i
\(706\) −16.8858 + 9.74903i −0.635506 + 0.366909i
\(707\) −9.03625 + 7.48979i −0.339843 + 0.281683i
\(708\) −10.6838 + 15.5376i −0.401522 + 0.583940i
\(709\) 32.2135 8.63157i 1.20980 0.324166i 0.403118 0.915148i \(-0.367926\pi\)
0.806684 + 0.590982i \(0.201260\pi\)
\(710\) 3.68297 + 13.7450i 0.138219 + 0.515841i
\(711\) 26.6509 + 21.6011i 0.999485 + 0.810104i
\(712\) 10.2175i 0.382918i
\(713\) 2.13393 + 7.96395i 0.0799164 + 0.298252i
\(714\) −9.94557 4.60788i −0.372203 0.172446i
\(715\) −4.33098 + 8.79830i −0.161970 + 0.329038i
\(716\) −8.37432 + 4.83492i −0.312963 + 0.180689i
\(717\) 19.1207 27.8075i 0.714075 1.03849i
\(718\) −7.52418 13.0323i −0.280800 0.486360i
\(719\) −19.1095 + 33.0985i −0.712662 + 1.23437i 0.251192 + 0.967937i \(0.419178\pi\)
−0.963854 + 0.266430i \(0.914156\pi\)
\(720\) −0.312200 2.98316i −0.0116350 0.111176i
\(721\) −12.2835 14.8198i −0.457463 0.551918i
\(722\) −8.95299 2.39895i −0.333196 0.0892795i
\(723\) 9.27617 13.4905i 0.344984 0.501716i
\(724\) −5.02844 −0.186880
\(725\) −5.75270 9.96398i −0.213650 0.370053i
\(726\) 5.62824 2.68300i 0.208884 0.0995753i
\(727\) 39.4219i 1.46208i 0.682337 + 0.731038i \(0.260964\pi\)
−0.682337 + 0.731038i \(0.739036\pi\)
\(728\) −8.12889 4.99210i −0.301277 0.185020i
\(729\) −12.2899 + 24.0408i −0.455180 + 0.890400i
\(730\) −3.06696 + 3.06696i −0.113513 + 0.113513i
\(731\) 7.30389 4.21690i 0.270144 0.155968i
\(732\) −1.04544 + 2.95013i −0.0386404 + 0.109040i
\(733\) 42.0320 + 11.2625i 1.55249 + 0.415988i 0.930276 0.366860i \(-0.119567\pi\)
0.622213 + 0.782848i \(0.286234\pi\)
\(734\) 6.18379 23.0782i 0.228248 0.851833i
\(735\) 11.7202 3.09557i 0.432307 0.114182i
\(736\) −4.25716 4.25716i −0.156921 0.156921i
\(737\) 0.283474 + 0.163664i 0.0104419 + 0.00602862i
\(738\) 1.24565 + 0.197860i 0.0458530 + 0.00728332i
\(739\) −0.950364 + 3.54681i −0.0349597 + 0.130471i −0.981200 0.192992i \(-0.938181\pi\)
0.946241 + 0.323464i \(0.104847\pi\)
\(740\) 0.544504 + 0.943109i 0.0200164 + 0.0346694i
\(741\) −16.9925 + 9.52734i −0.624236 + 0.349996i
\(742\) −5.90151 + 2.70865i −0.216651 + 0.0994378i
\(743\) −17.5705 + 4.70799i −0.644598 + 0.172720i −0.566285 0.824209i \(-0.691620\pi\)
−0.0783128 + 0.996929i \(0.524953\pi\)
\(744\) −0.792280 + 2.23575i −0.0290464 + 0.0819665i
\(745\) 22.4369i 0.822024i
\(746\) 18.0289 4.83084i 0.660086 0.176870i
\(747\) −29.0781 12.9619i −1.06391 0.474252i
\(748\) −1.68409 + 6.28510i −0.0615763 + 0.229806i
\(749\) −51.7190 + 8.79776i −1.88977 + 0.321463i
\(750\) 2.83696 + 15.3259i 0.103591 + 0.559622i
\(751\) 21.9597i 0.801322i 0.916226 + 0.400661i \(0.131220\pi\)
−0.916226 + 0.400661i \(0.868780\pi\)
\(752\) 0.717315 + 0.192204i 0.0261578 + 0.00700896i
\(753\) 30.9460 26.4184i 1.12773 0.962741i
\(754\) 3.34034 + 9.81716i 0.121648 + 0.357520i
\(755\) 12.3917i 0.450979i
\(756\) 9.04026 + 10.3573i 0.328791 + 0.376691i
\(757\) 7.52013 13.0252i 0.273324 0.473411i −0.696387 0.717666i \(-0.745210\pi\)
0.969711 + 0.244256i \(0.0785436\pi\)
\(758\) −12.0602 + 20.8888i −0.438045 + 0.758717i
\(759\) 2.23196 28.2793i 0.0810151 1.02647i
\(760\) −2.20540 + 2.20540i −0.0799984 + 0.0799984i
\(761\) −5.89968 22.0179i −0.213863 0.798149i −0.986564 0.163378i \(-0.947761\pi\)
0.772700 0.634771i \(-0.218906\pi\)
\(762\) −4.27006 + 2.03555i −0.154688 + 0.0737402i
\(763\) −35.6648 + 16.3693i −1.29115 + 0.592608i
\(764\) 11.5364 19.9816i 0.417373 0.722911i
\(765\) −0.746758 7.13548i −0.0269991 0.257984i
\(766\) −29.9168 17.2725i −1.08094 0.624081i
\(767\) −25.8598 + 29.5302i −0.933744 + 1.06628i
\(768\) −0.315262 1.70312i −0.0113760 0.0614560i
\(769\) −2.22659 8.30976i −0.0802930 0.299658i 0.914088 0.405515i \(-0.132908\pi\)
−0.994381 + 0.105858i \(0.966241\pi\)
\(770\) −3.00172 6.54004i −0.108175 0.235687i
\(771\) −0.856106 4.62488i −0.0308319 0.166561i
\(772\) −0.704783 0.188846i −0.0253657 0.00679672i
\(773\) −18.6176 18.6176i −0.669627 0.669627i 0.288002 0.957630i \(-0.407009\pi\)
−0.957630 + 0.288002i \(0.907009\pi\)