Properties

Label 483.2.y.b.16.2
Level $483$
Weight $2$
Character 483.16
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 16.2
Character \(\chi\) \(=\) 483.16
Dual form 483.2.y.b.151.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.740363 - 2.13914i) q^{2} +(-0.888835 - 0.458227i) q^{3} +(-2.45566 + 1.93116i) q^{4} +(2.48488 + 0.237277i) q^{5} +(-0.322149 + 2.24059i) q^{6} +(-2.63923 + 0.185589i) q^{7} +(2.14051 + 1.37562i) q^{8} +(0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.740363 - 2.13914i) q^{2} +(-0.888835 - 0.458227i) q^{3} +(-2.45566 + 1.93116i) q^{4} +(2.48488 + 0.237277i) q^{5} +(-0.322149 + 2.24059i) q^{6} +(-2.63923 + 0.185589i) q^{7} +(2.14051 + 1.37562i) q^{8} +(0.580057 + 0.814576i) q^{9} +(-1.33214 - 5.49116i) q^{10} +(-1.88727 + 5.45291i) q^{11} +(3.06759 - 0.591229i) q^{12} +(0.0390196 + 0.0114572i) q^{13} +(2.35099 + 5.50828i) q^{14} +(-2.09992 - 1.34954i) q^{15} +(-0.115153 + 0.474667i) q^{16} +(-5.45057 + 2.18208i) q^{17} +(1.31304 - 1.84390i) q^{18} +(1.92779 + 0.771772i) q^{19} +(-6.56024 + 4.21601i) q^{20} +(2.43089 + 1.04441i) q^{21} +13.0618 q^{22} +(-0.891245 + 4.71229i) q^{23} +(-1.27221 - 2.20354i) q^{24} +(1.20867 + 0.232952i) q^{25} +(-0.00438015 - 0.0919507i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(6.12267 - 5.55252i) q^{28} +(0.0689247 - 0.479382i) q^{29} +(-1.33214 + 5.49116i) q^{30} +(-0.299001 + 6.27681i) q^{31} +(6.16644 - 0.588824i) q^{32} +(4.17614 - 3.98194i) q^{33} +(8.70317 + 10.0440i) q^{34} +(-6.60221 - 0.165064i) q^{35} +(-2.99750 - 0.880145i) q^{36} +(-3.77475 - 5.30090i) q^{37} +(0.223660 - 4.69520i) q^{38} +(-0.0294320 - 0.0280634i) q^{39} +(4.99250 + 3.92614i) q^{40} +(-3.09819 - 6.78410i) q^{41} +(0.434397 - 5.97324i) q^{42} +(6.13690 - 3.94394i) q^{43} +(-5.89591 - 17.0351i) q^{44} +(1.24809 + 2.16175i) q^{45} +(10.7401 - 1.58231i) q^{46} +(-1.01585 + 1.75951i) q^{47} +(0.319857 - 0.369134i) q^{48} +(6.93111 - 0.979624i) q^{49} +(-0.396537 - 2.75797i) q^{50} +(5.84455 + 0.558087i) q^{51} +(-0.117945 + 0.0472179i) q^{52} +(-1.16711 - 1.11284i) q^{53} +(-2.01200 + 1.03726i) q^{54} +(-5.98348 + 13.1020i) q^{55} +(-5.90460 - 3.23333i) q^{56} +(-1.35984 - 1.56934i) q^{57} +(-1.07649 + 0.207477i) q^{58} +(1.04007 + 4.28724i) q^{59} +(7.76287 - 0.741264i) q^{60} +(0.782586 - 0.403451i) q^{61} +(13.6483 - 4.00751i) q^{62} +(-1.68208 - 2.04220i) q^{63} +(-5.41917 - 11.8663i) q^{64} +(0.0942403 + 0.0377281i) q^{65} +(-11.6098 - 5.98525i) q^{66} +(-11.0901 - 2.13743i) q^{67} +(9.17084 - 15.8844i) q^{68} +(2.95147 - 3.78006i) q^{69} +(4.53493 + 14.2452i) q^{70} +(-7.17129 + 8.27611i) q^{71} +(0.121069 + 2.54154i) q^{72} +(7.04675 - 5.54163i) q^{73} +(-8.54467 + 11.9993i) q^{74} +(-0.967562 - 0.760899i) q^{75} +(-6.22442 + 1.82766i) q^{76} +(3.96895 - 14.7418i) q^{77} +(-0.0382410 + 0.0837361i) q^{78} +(0.612500 - 0.584018i) q^{79} +(-0.398768 + 1.15216i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(-12.2183 + 11.6501i) q^{82} +(-0.777518 + 1.70253i) q^{83} +(-7.98636 + 2.12970i) q^{84} +(-14.0618 + 4.12891i) q^{85} +(-12.9802 - 10.2077i) q^{86} +(-0.280928 + 0.394508i) q^{87} +(-11.5408 + 9.07582i) q^{88} +(0.765817 + 16.0765i) q^{89} +(3.70025 - 4.27032i) q^{90} +(-0.105108 - 0.0229966i) q^{91} +(-6.91157 - 13.2929i) q^{92} +(3.14196 - 5.44204i) q^{93} +(4.51592 + 0.870373i) q^{94} +(4.60720 + 2.37518i) q^{95} +(-5.75077 - 2.30226i) q^{96} +(7.04181 + 15.4194i) q^{97} +(-7.22709 - 14.1013i) q^{98} +(-5.53653 + 1.62567i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.740363 2.13914i −0.523515 1.51260i −0.828360 0.560196i \(-0.810726\pi\)
0.304845 0.952402i \(-0.401395\pi\)
\(3\) −0.888835 0.458227i −0.513169 0.264557i
\(4\) −2.45566 + 1.93116i −1.22783 + 0.965578i
\(5\) 2.48488 + 0.237277i 1.11127 + 0.106113i 0.634506 0.772918i \(-0.281203\pi\)
0.476764 + 0.879031i \(0.341810\pi\)
\(6\) −0.322149 + 2.24059i −0.131517 + 0.914719i
\(7\) −2.63923 + 0.185589i −0.997537 + 0.0701460i
\(8\) 2.14051 + 1.37562i 0.756784 + 0.486355i
\(9\) 0.580057 + 0.814576i 0.193352 + 0.271525i
\(10\) −1.33214 5.49116i −0.421260 1.73646i
\(11\) −1.88727 + 5.45291i −0.569033 + 1.64411i 0.181584 + 0.983375i \(0.441878\pi\)
−0.750617 + 0.660738i \(0.770244\pi\)
\(12\) 3.06759 0.591229i 0.885537 0.170673i
\(13\) 0.0390196 + 0.0114572i 0.0108221 + 0.00317765i 0.287139 0.957889i \(-0.407296\pi\)
−0.276317 + 0.961067i \(0.589114\pi\)
\(14\) 2.35099 + 5.50828i 0.628328 + 1.47215i
\(15\) −2.09992 1.34954i −0.542197 0.348449i
\(16\) −0.115153 + 0.474667i −0.0287882 + 0.118667i
\(17\) −5.45057 + 2.18208i −1.32196 + 0.529232i −0.921961 0.387284i \(-0.873413\pi\)
−0.399998 + 0.916516i \(0.630989\pi\)
\(18\) 1.31304 1.84390i 0.309486 0.434612i
\(19\) 1.92779 + 0.771772i 0.442266 + 0.177057i 0.582098 0.813119i \(-0.302232\pi\)
−0.139832 + 0.990175i \(0.544656\pi\)
\(20\) −6.56024 + 4.21601i −1.46691 + 0.942729i
\(21\) 2.43089 + 1.04441i 0.530463 + 0.227909i
\(22\) 13.0618 2.78478
\(23\) −0.891245 + 4.71229i −0.185837 + 0.982581i
\(24\) −1.27221 2.20354i −0.259689 0.449795i
\(25\) 1.20867 + 0.232952i 0.241734 + 0.0465903i
\(26\) −0.00438015 0.0919507i −0.000859018 0.0180330i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) 6.12267 5.55252i 1.15708 1.04933i
\(29\) 0.0689247 0.479382i 0.0127990 0.0890189i −0.982421 0.186680i \(-0.940227\pi\)
0.995220 + 0.0976614i \(0.0311362\pi\)
\(30\) −1.33214 + 5.49116i −0.243215 + 1.00254i
\(31\) −0.299001 + 6.27681i −0.0537022 + 1.12735i 0.797775 + 0.602956i \(0.206010\pi\)
−0.851477 + 0.524392i \(0.824293\pi\)
\(32\) 6.16644 0.588824i 1.09008 0.104090i
\(33\) 4.17614 3.98194i 0.726972 0.693167i
\(34\) 8.70317 + 10.0440i 1.49258 + 1.72253i
\(35\) −6.60221 0.165064i −1.11598 0.0279010i
\(36\) −2.99750 0.880145i −0.499583 0.146691i
\(37\) −3.77475 5.30090i −0.620566 0.871463i 0.377956 0.925824i \(-0.376627\pi\)
−0.998521 + 0.0543610i \(0.982688\pi\)
\(38\) 0.223660 4.69520i 0.0362825 0.761663i
\(39\) −0.0294320 0.0280634i −0.00471289 0.00449373i
\(40\) 4.99250 + 3.92614i 0.789383 + 0.620777i
\(41\) −3.09819 6.78410i −0.483856 1.05950i −0.981385 0.192050i \(-0.938486\pi\)
0.497529 0.867447i \(-0.334241\pi\)
\(42\) 0.434397 5.97324i 0.0670289 0.921691i
\(43\) 6.13690 3.94394i 0.935868 0.601446i 0.0186478 0.999826i \(-0.494064\pi\)
0.917220 + 0.398380i \(0.130428\pi\)
\(44\) −5.89591 17.0351i −0.888842 2.56814i
\(45\) 1.24809 + 2.16175i 0.186054 + 0.322255i
\(46\) 10.7401 1.58231i 1.58354 0.233299i
\(47\) −1.01585 + 1.75951i −0.148177 + 0.256650i −0.930554 0.366155i \(-0.880674\pi\)
0.782377 + 0.622806i \(0.214007\pi\)
\(48\) 0.319857 0.369134i 0.0461673 0.0532800i
\(49\) 6.93111 0.979624i 0.990159 0.139946i
\(50\) −0.396537 2.75797i −0.0560788 0.390036i
\(51\) 5.84455 + 0.558087i 0.818401 + 0.0781478i
\(52\) −0.117945 + 0.0472179i −0.0163560 + 0.00654794i
\(53\) −1.16711 1.11284i −0.160315 0.152860i 0.605676 0.795711i \(-0.292903\pi\)
−0.765991 + 0.642852i \(0.777751\pi\)
\(54\) −2.01200 + 1.03726i −0.273798 + 0.141153i
\(55\) −5.98348 + 13.1020i −0.806812 + 1.76667i
\(56\) −5.90460 3.23333i −0.789036 0.432072i
\(57\) −1.35984 1.56934i −0.180116 0.207865i
\(58\) −1.07649 + 0.207477i −0.141350 + 0.0272431i
\(59\) 1.04007 + 4.28724i 0.135406 + 0.558151i 0.998581 + 0.0532468i \(0.0169570\pi\)
−0.863175 + 0.504904i \(0.831528\pi\)
\(60\) 7.76287 0.741264i 1.00218 0.0956967i
\(61\) 0.782586 0.403451i 0.100200 0.0516566i −0.407398 0.913251i \(-0.633564\pi\)
0.507598 + 0.861594i \(0.330534\pi\)
\(62\) 13.6483 4.00751i 1.73334 0.508954i
\(63\) −1.68208 2.04220i −0.211922 0.257294i
\(64\) −5.41917 11.8663i −0.677397 1.48329i
\(65\) 0.0942403 + 0.0377281i 0.0116891 + 0.00467960i
\(66\) −11.6098 5.98525i −1.42906 0.736734i
\(67\) −11.0901 2.13743i −1.35487 0.261129i −0.540433 0.841387i \(-0.681740\pi\)
−0.814433 + 0.580258i \(0.802952\pi\)
\(68\) 9.17084 15.8844i 1.11213 1.92626i
\(69\) 2.95147 3.78006i 0.355315 0.455066i
\(70\) 4.53493 + 14.2452i 0.542028 + 1.70263i
\(71\) −7.17129 + 8.27611i −0.851075 + 0.982193i −0.999978 0.00665850i \(-0.997881\pi\)
0.148902 + 0.988852i \(0.452426\pi\)
\(72\) 0.121069 + 2.54154i 0.0142681 + 0.299524i
\(73\) 7.04675 5.54163i 0.824760 0.648598i −0.113881 0.993494i \(-0.536328\pi\)
0.938641 + 0.344896i \(0.112086\pi\)
\(74\) −8.54467 + 11.9993i −0.993297 + 1.39489i
\(75\) −0.967562 0.760899i −0.111724 0.0878611i
\(76\) −6.22442 + 1.82766i −0.713991 + 0.209647i
\(77\) 3.96895 14.7418i 0.452303 1.67998i
\(78\) −0.0382410 + 0.0837361i −0.00432994 + 0.00948125i
\(79\) 0.612500 0.584018i 0.0689116 0.0657071i −0.654841 0.755767i \(-0.727264\pi\)
0.723752 + 0.690060i \(0.242416\pi\)
\(80\) −0.398768 + 1.15216i −0.0445836 + 0.128816i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) −12.2183 + 11.6501i −1.34929 + 1.28654i
\(83\) −0.777518 + 1.70253i −0.0853437 + 0.186877i −0.947492 0.319779i \(-0.896391\pi\)
0.862148 + 0.506656i \(0.169119\pi\)
\(84\) −7.98636 + 2.12970i −0.871383 + 0.232370i
\(85\) −14.0618 + 4.12891i −1.52521 + 0.447843i
\(86\) −12.9802 10.2077i −1.39969 1.10073i
\(87\) −0.280928 + 0.394508i −0.0301187 + 0.0422957i
\(88\) −11.5408 + 9.07582i −1.23026 + 0.967486i
\(89\) 0.765817 + 16.0765i 0.0811764 + 1.70410i 0.561879 + 0.827220i \(0.310079\pi\)
−0.480702 + 0.876884i \(0.659618\pi\)
\(90\) 3.70025 4.27032i 0.390041 0.450131i
\(91\) −0.105108 0.0229966i −0.0110183 0.00241070i
\(92\) −6.91157 13.2929i −0.720581 1.38588i
\(93\) 3.14196 5.44204i 0.325806 0.564313i
\(94\) 4.51592 + 0.870373i 0.465782 + 0.0897721i
\(95\) 4.60720 + 2.37518i 0.472689 + 0.243688i
\(96\) −5.75077 2.30226i −0.586935 0.234973i
\(97\) 7.04181 + 15.4194i 0.714987 + 1.56560i 0.820799 + 0.571218i \(0.193529\pi\)
−0.105811 + 0.994386i \(0.533744\pi\)
\(98\) −7.22709 14.1013i −0.730046 1.42445i
\(99\) −5.53653 + 1.62567i −0.556442 + 0.163386i
\(100\) −3.41795 + 1.76207i −0.341795 + 0.176207i
\(101\) −7.88766 + 0.753180i −0.784851 + 0.0749442i −0.479784 0.877387i \(-0.659285\pi\)
−0.305067 + 0.952331i \(0.598679\pi\)
\(102\) −3.13326 12.9155i −0.310239 1.27882i
\(103\) 6.40870 1.23518i 0.631468 0.121706i 0.136533 0.990636i \(-0.456404\pi\)
0.494935 + 0.868930i \(0.335192\pi\)
\(104\) 0.0677610 + 0.0782003i 0.00664451 + 0.00766817i
\(105\) 5.79264 + 3.17202i 0.565304 + 0.309558i
\(106\) −1.51642 + 3.32051i −0.147288 + 0.322516i
\(107\) −16.9949 + 8.76148i −1.64296 + 0.847004i −0.646500 + 0.762914i \(0.723768\pi\)
−0.996458 + 0.0840900i \(0.973202\pi\)
\(108\) 2.26098 + 2.15584i 0.217563 + 0.207446i
\(109\) 13.2722 5.31338i 1.27125 0.508930i 0.364734 0.931112i \(-0.381160\pi\)
0.906511 + 0.422182i \(0.138736\pi\)
\(110\) 32.4569 + 3.09926i 3.09464 + 0.295503i
\(111\) 0.926122 + 6.44132i 0.0879036 + 0.611383i
\(112\) 0.215823 1.27413i 0.0203933 0.120394i
\(113\) −2.79001 + 3.21985i −0.262462 + 0.302898i −0.871650 0.490128i \(-0.836950\pi\)
0.609188 + 0.793026i \(0.291495\pi\)
\(114\) −2.35026 + 4.07078i −0.220122 + 0.381263i
\(115\) −3.33275 + 11.4980i −0.310781 + 1.07219i
\(116\) 0.756505 + 1.31031i 0.0702397 + 0.121659i
\(117\) 0.0133008 + 0.0384302i 0.00122966 + 0.00355288i
\(118\) 8.40096 5.39897i 0.773371 0.497015i
\(119\) 13.9804 6.77059i 1.28158 0.620659i
\(120\) −2.63844 5.77739i −0.240856 0.527401i
\(121\) −17.5258 13.7825i −1.59326 1.25295i
\(122\) −1.44244 1.37536i −0.130592 0.124519i
\(123\) −0.354869 + 7.44962i −0.0319975 + 0.671709i
\(124\) −11.3873 15.9912i −1.02261 1.43605i
\(125\) −9.02722 2.65063i −0.807419 0.237080i
\(126\) −3.12321 + 5.11018i −0.278237 + 0.455251i
\(127\) 0.370631 + 0.427731i 0.0328882 + 0.0379550i 0.771955 0.635677i \(-0.219279\pi\)
−0.739067 + 0.673632i \(0.764733\pi\)
\(128\) −12.4052 + 11.8284i −1.09648 + 1.04549i
\(129\) −7.26191 + 0.693429i −0.639376 + 0.0610530i
\(130\) 0.0109336 0.229525i 0.000958944 0.0201307i
\(131\) −3.80245 + 15.6739i −0.332222 + 1.36944i 0.523511 + 0.852019i \(0.324622\pi\)
−0.855733 + 0.517418i \(0.826893\pi\)
\(132\) −2.56545 + 17.8431i −0.223294 + 1.55304i
\(133\) −5.23113 1.67911i −0.453596 0.145597i
\(134\) 3.63840 + 25.3056i 0.314310 + 2.18607i
\(135\) −0.118773 2.49335i −0.0102224 0.214594i
\(136\) −14.6687 2.82716i −1.25783 0.242427i
\(137\) 2.67780 + 4.63809i 0.228780 + 0.396259i 0.957447 0.288610i \(-0.0931930\pi\)
−0.728667 + 0.684869i \(0.759860\pi\)
\(138\) −10.2712 3.51498i −0.874344 0.299215i
\(139\) −5.37665 −0.456041 −0.228021 0.973656i \(-0.573225\pi\)
−0.228021 + 0.973656i \(0.573225\pi\)
\(140\) 16.5316 12.3446i 1.39717 1.04330i
\(141\) 1.70918 1.09842i 0.143939 0.0925038i
\(142\) 23.0131 + 9.21305i 1.93122 + 0.773142i
\(143\) −0.136115 + 0.191147i −0.0113825 + 0.0159845i
\(144\) −0.453447 + 0.181533i −0.0377873 + 0.0151277i
\(145\) 0.285016 1.17485i 0.0236693 0.0975660i
\(146\) −17.0715 10.9712i −1.41284 0.907979i
\(147\) −6.60951 2.30530i −0.545143 0.190138i
\(148\) 19.5064 + 5.72760i 1.60342 + 0.470805i
\(149\) 23.4527 4.52014i 1.92132 0.370304i 0.921484 0.388415i \(-0.126977\pi\)
0.999836 + 0.0181110i \(0.00576522\pi\)
\(150\) −0.911321 + 2.63309i −0.0744091 + 0.214991i
\(151\) 0.269099 + 1.10924i 0.0218990 + 0.0902689i 0.981712 0.190370i \(-0.0609688\pi\)
−0.959813 + 0.280639i \(0.909454\pi\)
\(152\) 3.06479 + 4.30390i 0.248587 + 0.349092i
\(153\) −4.93911 3.17418i −0.399304 0.256617i
\(154\) −34.4731 + 2.42412i −2.77792 + 0.195341i
\(155\) −2.23232 + 15.5261i −0.179304 + 1.24709i
\(156\) 0.126470 + 0.0120764i 0.0101257 + 0.000966886i
\(157\) −0.800132 + 0.629231i −0.0638575 + 0.0502181i −0.649578 0.760295i \(-0.725054\pi\)
0.585720 + 0.810513i \(0.300812\pi\)
\(158\) −1.70277 0.877837i −0.135465 0.0698369i
\(159\) 0.527437 + 1.52393i 0.0418284 + 0.120855i
\(160\) 15.4626 1.22242
\(161\) 1.47766 12.6022i 0.116456 0.993196i
\(162\) 2.26364 0.177848
\(163\) −7.98249 23.0639i −0.625237 1.80650i −0.590400 0.807111i \(-0.701030\pi\)
−0.0348369 0.999393i \(-0.511091\pi\)
\(164\) 20.7093 + 10.6764i 1.61712 + 0.833684i
\(165\) 11.3220 8.90373i 0.881417 0.693154i
\(166\) 4.21758 + 0.402730i 0.327348 + 0.0312579i
\(167\) 2.05908 14.3212i 0.159336 1.10821i −0.740524 0.672030i \(-0.765422\pi\)
0.899860 0.436179i \(-0.143668\pi\)
\(168\) 3.76662 + 5.57955i 0.290601 + 0.430471i
\(169\) −10.9349 7.02744i −0.841147 0.540572i
\(170\) 19.2431 + 27.0231i 1.47588 + 2.07258i
\(171\) 0.489563 + 2.01801i 0.0374378 + 0.154321i
\(172\) −7.45379 + 21.5363i −0.568346 + 1.64213i
\(173\) 12.1125 2.33449i 0.920896 0.177488i 0.293294 0.956022i \(-0.405249\pi\)
0.627602 + 0.778534i \(0.284036\pi\)
\(174\) 1.05190 + 0.308865i 0.0797440 + 0.0234150i
\(175\) −3.23319 0.390499i −0.244406 0.0295189i
\(176\) −2.37099 1.52374i −0.178720 0.114856i
\(177\) 1.04007 4.28724i 0.0781767 0.322249i
\(178\) 33.8228 13.5406i 2.53513 1.01491i
\(179\) 2.55891 3.59349i 0.191262 0.268590i −0.707798 0.706414i \(-0.750311\pi\)
0.899060 + 0.437825i \(0.144251\pi\)
\(180\) −7.23958 2.89829i −0.539606 0.216026i
\(181\) −7.13216 + 4.58356i −0.530129 + 0.340693i −0.778167 0.628057i \(-0.783850\pi\)
0.248038 + 0.968750i \(0.420214\pi\)
\(182\) 0.0286253 + 0.241867i 0.00212185 + 0.0179283i
\(183\) −0.880463 −0.0650857
\(184\) −8.39004 + 8.86068i −0.618522 + 0.653218i
\(185\) −8.12202 14.0677i −0.597143 1.03428i
\(186\) −13.9675 2.69201i −1.02414 0.197388i
\(187\) −1.61198 33.8396i −0.117880 2.47460i
\(188\) −0.903291 6.28253i −0.0658793 0.458200i
\(189\) 0.559302 + 2.58596i 0.0406832 + 0.188101i
\(190\) 1.66983 11.6139i 0.121142 0.842563i
\(191\) 1.43339 5.90851i 0.103716 0.427525i −0.896152 0.443747i \(-0.853649\pi\)
0.999868 + 0.0162222i \(0.00516393\pi\)
\(192\) −0.620716 + 13.0304i −0.0447963 + 0.940390i
\(193\) −7.40721 + 0.707302i −0.533182 + 0.0509127i −0.358175 0.933654i \(-0.616601\pi\)
−0.175007 + 0.984567i \(0.555995\pi\)
\(194\) 27.7707 26.4793i 1.99382 1.90111i
\(195\) −0.0664761 0.0767175i −0.00476045 0.00549385i
\(196\) −15.1287 + 15.7907i −1.08062 + 1.12791i
\(197\) −19.2997 5.66690i −1.37505 0.403750i −0.491004 0.871158i \(-0.663370\pi\)
−0.884042 + 0.467408i \(0.845188\pi\)
\(198\) 7.57657 + 10.6398i 0.538444 + 0.756138i
\(199\) 0.0220856 0.463634i 0.00156561 0.0328662i −0.997949 0.0640086i \(-0.979612\pi\)
0.999515 + 0.0311424i \(0.00991454\pi\)
\(200\) 2.26671 + 2.16130i 0.160281 + 0.152827i
\(201\) 8.87780 + 6.98158i 0.626192 + 0.492443i
\(202\) 7.45088 + 16.3152i 0.524242 + 1.14793i
\(203\) −0.0929405 + 1.27799i −0.00652315 + 0.0896975i
\(204\) −15.4300 + 9.91626i −1.08032 + 0.694277i
\(205\) −6.08892 17.5928i −0.425268 1.22873i
\(206\) −7.38697 12.7946i −0.514675 0.891443i
\(207\) −4.35549 + 2.00741i −0.302728 + 0.139525i
\(208\) −0.00993156 + 0.0172020i −0.000688630 + 0.00119274i
\(209\) −7.84666 + 9.05553i −0.542765 + 0.626384i
\(210\) 2.49674 14.7397i 0.172291 1.01714i
\(211\) 0.0234410 + 0.163036i 0.00161374 + 0.0112238i 0.990612 0.136701i \(-0.0436498\pi\)
−0.988999 + 0.147924i \(0.952741\pi\)
\(212\) 5.01509 + 0.478883i 0.344438 + 0.0328898i
\(213\) 10.1664 4.07002i 0.696592 0.278873i
\(214\) 31.3244 + 29.8677i 2.14129 + 2.04172i
\(215\) 16.1852 8.34407i 1.10382 0.569061i
\(216\) 1.05699 2.31449i 0.0719193 0.157481i
\(217\) −0.375771 16.6215i −0.0255090 1.12834i
\(218\) −21.1923 24.4572i −1.43532 1.65645i
\(219\) −8.80272 + 1.69659i −0.594833 + 0.114645i
\(220\) −10.6086 43.7291i −0.715230 2.94822i
\(221\) −0.237680 + 0.0226956i −0.0159881 + 0.00152667i
\(222\) 13.0932 6.75002i 0.878758 0.453031i
\(223\) 7.64726 2.24544i 0.512099 0.150366i −0.0154664 0.999880i \(-0.504923\pi\)
0.527565 + 0.849515i \(0.323105\pi\)
\(224\) −16.1654 + 2.69847i −1.08010 + 0.180299i
\(225\) 0.511339 + 1.11968i 0.0340893 + 0.0746451i
\(226\) 8.95331 + 3.58436i 0.595565 + 0.238428i
\(227\) 22.4610 + 11.5795i 1.49079 + 0.768556i 0.994999 0.0998856i \(-0.0318477\pi\)
0.495792 + 0.868442i \(0.334878\pi\)
\(228\) 6.36997 + 1.22771i 0.421862 + 0.0813072i
\(229\) −11.4054 + 19.7548i −0.753692 + 1.30543i 0.192330 + 0.981330i \(0.438396\pi\)
−0.946022 + 0.324103i \(0.894938\pi\)
\(230\) 27.0632 1.38347i 1.78450 0.0912231i
\(231\) −10.2828 + 11.2843i −0.676559 + 0.742453i
\(232\) 0.806981 0.931306i 0.0529809 0.0611432i
\(233\) 0.0663213 + 1.39225i 0.00434485 + 0.0912096i 0.999998 0.00192749i \(-0.000613538\pi\)
−0.995653 + 0.0931371i \(0.970311\pi\)
\(234\) 0.0723601 0.0569046i 0.00473033 0.00371997i
\(235\) −2.94176 + 4.13112i −0.191899 + 0.269484i
\(236\) −10.8334 8.51948i −0.705194 0.554571i
\(237\) −0.812024 + 0.238432i −0.0527466 + 0.0154878i
\(238\) −24.8338 24.8932i −1.60973 1.61359i
\(239\) −0.861143 + 1.88564i −0.0557027 + 0.121972i −0.935437 0.353494i \(-0.884993\pi\)
0.879734 + 0.475466i \(0.157721\pi\)
\(240\) 0.882392 0.841359i 0.0569581 0.0543095i
\(241\) −1.18729 + 3.43046i −0.0764804 + 0.220975i −0.976760 0.214337i \(-0.931241\pi\)
0.900279 + 0.435313i \(0.143362\pi\)
\(242\) −16.5071 + 47.6941i −1.06112 + 3.06589i
\(243\) 0.723734 0.690079i 0.0464276 0.0442686i
\(244\) −1.14264 + 2.50204i −0.0731502 + 0.160177i
\(245\) 17.4554 0.789652i 1.11518 0.0504490i
\(246\) 16.1985 4.75630i 1.03278 0.303251i
\(247\) 0.0663793 + 0.0522013i 0.00422362 + 0.00332149i
\(248\) −9.27452 + 13.0242i −0.588933 + 0.827040i
\(249\) 1.47123 1.15699i 0.0932353 0.0733211i
\(250\) 1.01335 + 21.2729i 0.0640900 + 1.34542i
\(251\) 20.1969 23.3085i 1.27482 1.47122i 0.464099 0.885784i \(-0.346378\pi\)
0.810719 0.585435i \(-0.199076\pi\)
\(252\) 8.07445 + 1.76661i 0.508642 + 0.111286i
\(253\) −24.0137 13.7532i −1.50973 0.864659i
\(254\) 0.640574 1.10951i 0.0401932 0.0696167i
\(255\) 14.3906 + 2.77355i 0.901172 + 0.173687i
\(256\) 11.2968 + 5.82390i 0.706049 + 0.363994i
\(257\) −7.60983 3.04652i −0.474688 0.190037i 0.121967 0.992534i \(-0.461080\pi\)
−0.596655 + 0.802498i \(0.703504\pi\)
\(258\) 6.85979 + 15.0208i 0.427072 + 0.935157i
\(259\) 10.9462 + 13.2898i 0.680167 + 0.825786i
\(260\) −0.304282 + 0.0893451i −0.0188707 + 0.00554095i
\(261\) 0.430473 0.221924i 0.0266456 0.0137368i
\(262\) 36.3439 3.47042i 2.24533 0.214403i
\(263\) 0.0395370 + 0.162974i 0.00243795 + 0.0100494i 0.973018 0.230731i \(-0.0741118\pi\)
−0.970580 + 0.240780i \(0.922597\pi\)
\(264\) 14.4167 2.77859i 0.887286 0.171010i
\(265\) −2.63607 3.04219i −0.161932 0.186880i
\(266\) 0.281086 + 12.4333i 0.0172345 + 0.762332i
\(267\) 6.68598 14.6403i 0.409176 0.895969i
\(268\) 31.3612 16.1678i 1.91569 0.987606i
\(269\) 20.2914 + 19.3478i 1.23719 + 1.17966i 0.976800 + 0.214154i \(0.0686995\pi\)
0.260390 + 0.965504i \(0.416149\pi\)
\(270\) −5.24569 + 2.10006i −0.319242 + 0.127805i
\(271\) −2.63319 0.251439i −0.159955 0.0152739i 0.0147712 0.999891i \(-0.495298\pi\)
−0.174726 + 0.984617i \(0.555904\pi\)
\(272\) −0.408111 2.83848i −0.0247454 0.172108i
\(273\) 0.0828862 + 0.0686035i 0.00501650 + 0.00415207i
\(274\) 7.93897 9.16206i 0.479611 0.553500i
\(275\) −3.55134 + 6.15111i −0.214154 + 0.370926i
\(276\) 0.0520707 + 14.9823i 0.00313429 + 0.901829i
\(277\) 7.02022 + 12.1594i 0.421804 + 0.730587i 0.996116 0.0880502i \(-0.0280636\pi\)
−0.574312 + 0.818637i \(0.694730\pi\)
\(278\) 3.98067 + 11.5014i 0.238745 + 0.689807i
\(279\) −5.28637 + 3.39735i −0.316487 + 0.203394i
\(280\) −13.9050 9.43546i −0.830983 0.563876i
\(281\) 10.9753 + 24.0326i 0.654734 + 1.43367i 0.887349 + 0.461099i \(0.152545\pi\)
−0.232615 + 0.972569i \(0.574728\pi\)
\(282\) −3.61509 2.84294i −0.215275 0.169294i
\(283\) −4.86919 4.64276i −0.289443 0.275983i 0.531420 0.847109i \(-0.321659\pi\)
−0.820863 + 0.571125i \(0.806507\pi\)
\(284\) 1.62782 34.1722i 0.0965936 2.02775i
\(285\) −3.00668 4.22229i −0.178100 0.250107i
\(286\) 0.509665 + 0.149651i 0.0301371 + 0.00884906i
\(287\) 9.43591 + 17.3298i 0.556984 + 1.02295i
\(288\) 4.05653 + 4.68148i 0.239033 + 0.275859i
\(289\) 12.6438 12.0558i 0.743753 0.709167i
\(290\) −2.72418 + 0.260128i −0.159969 + 0.0152752i
\(291\) 0.806574 16.9321i 0.0472822 0.992575i
\(292\) −6.60271 + 27.2168i −0.386395 + 1.59274i
\(293\) −2.31626 + 16.1100i −0.135318 + 0.941154i 0.803148 + 0.595780i \(0.203157\pi\)
−0.938465 + 0.345374i \(0.887752\pi\)
\(294\) −0.0379095 + 15.8454i −0.00221093 + 0.924123i
\(295\) 1.56719 + 10.9000i 0.0912453 + 0.634625i
\(296\) −0.787862 16.5393i −0.0457935 0.961325i
\(297\) 5.66599 + 1.09203i 0.328774 + 0.0633660i
\(298\) −27.0327 46.8220i −1.56596 2.71233i
\(299\) −0.0887656 + 0.173660i −0.00513345 + 0.0100430i
\(300\) 3.84542 0.222016
\(301\) −15.4648 + 11.5479i −0.891374 + 0.665612i
\(302\) 2.17359 1.39688i 0.125076 0.0803815i
\(303\) 7.35596 + 2.94488i 0.422589 + 0.169179i
\(304\) −0.588325 + 0.826187i −0.0337428 + 0.0473851i
\(305\) 2.04036 0.816837i 0.116831 0.0467719i
\(306\) −3.13326 + 12.9155i −0.179117 + 0.738329i
\(307\) 24.4495 + 15.7127i 1.39540 + 0.896772i 0.999766 0.0216341i \(-0.00688689\pi\)
0.395639 + 0.918406i \(0.370523\pi\)
\(308\) 18.7222 + 43.8655i 1.06680 + 2.49947i
\(309\) −6.26227 1.83877i −0.356248 0.104604i
\(310\) 34.8653 6.71973i 1.98022 0.381655i
\(311\) 3.67824 10.6276i 0.208574 0.602635i −0.791388 0.611314i \(-0.790641\pi\)
0.999962 + 0.00867878i \(0.00276257\pi\)
\(312\) −0.0243949 0.100557i −0.00138109 0.00569293i
\(313\) 11.6457 + 16.3542i 0.658257 + 0.924392i 0.999881 0.0154446i \(-0.00491637\pi\)
−0.341624 + 0.939837i \(0.610977\pi\)
\(314\) 1.93840 + 1.24573i 0.109390 + 0.0703008i
\(315\) −3.69520 5.47375i −0.208201 0.308411i
\(316\) −0.376266 + 2.61698i −0.0211666 + 0.147217i
\(317\) 17.1700 + 1.63953i 0.964362 + 0.0920854i 0.565342 0.824857i \(-0.308744\pi\)
0.399020 + 0.916942i \(0.369350\pi\)
\(318\) 2.86940 2.25652i 0.160908 0.126539i
\(319\) 2.48394 + 1.28056i 0.139074 + 0.0716977i
\(320\) −10.6504 30.7722i −0.595374 1.72022i
\(321\) 19.1204 1.06720
\(322\) −28.0519 + 6.16932i −1.56327 + 0.343803i
\(323\) −12.1916 −0.678361
\(324\) −1.02177 2.95222i −0.0567653 0.164012i
\(325\) 0.0444927 + 0.0229376i 0.00246801 + 0.00127235i
\(326\) −43.4269 + 34.1513i −2.40519 + 1.89147i
\(327\) −14.2315 1.35895i −0.787005 0.0751499i
\(328\) 2.70064 18.7833i 0.149118 1.03714i
\(329\) 2.35453 4.83228i 0.129809 0.266412i
\(330\) −27.4287 17.6273i −1.50990 0.970353i
\(331\) −2.42950 3.41175i −0.133537 0.187527i 0.742393 0.669965i \(-0.233691\pi\)
−0.875930 + 0.482438i \(0.839751\pi\)
\(332\) −1.37852 5.68234i −0.0756562 0.311859i
\(333\) 2.12841 6.14965i 0.116636 0.336999i
\(334\) −32.1595 + 6.19824i −1.75969 + 0.339153i
\(335\) −27.0502 7.94267i −1.47791 0.433954i
\(336\) −0.775670 + 1.03359i −0.0423162 + 0.0563872i
\(337\) 28.7262 + 18.4612i 1.56482 + 1.00565i 0.981057 + 0.193719i \(0.0620550\pi\)
0.583759 + 0.811927i \(0.301581\pi\)
\(338\) −6.93686 + 28.5941i −0.377315 + 1.55531i
\(339\) 3.95528 1.58346i 0.214821 0.0860015i
\(340\) 26.5574 37.2947i 1.44028 2.02259i
\(341\) −33.6625 13.4765i −1.82293 0.729791i
\(342\) 3.95434 2.54130i 0.213826 0.137418i
\(343\) −18.1110 + 3.87179i −0.977903 + 0.209057i
\(344\) 18.5615 1.00077
\(345\) 8.23095 8.69266i 0.443140 0.467997i
\(346\) −13.9614 24.1819i −0.750572 1.30003i
\(347\) −26.7867 5.16272i −1.43799 0.277149i −0.590101 0.807329i \(-0.700912\pi\)
−0.847885 + 0.530180i \(0.822124\pi\)
\(348\) −0.0719919 1.51130i −0.00385917 0.0810140i
\(349\) −1.22571 8.52502i −0.0656109 0.456334i −0.995970 0.0896846i \(-0.971414\pi\)
0.930359 0.366649i \(-0.119495\pi\)
\(350\) 1.55840 + 7.20535i 0.0833001 + 0.385142i
\(351\) 0.00578750 0.0402529i 0.000308914 0.00214854i
\(352\) −8.42694 + 34.7363i −0.449157 + 1.85145i
\(353\) 0.144770 3.03909i 0.00770532 0.161755i −0.991735 0.128303i \(-0.959047\pi\)
0.999440 0.0334516i \(-0.0106500\pi\)
\(354\) −9.94102 + 0.949253i −0.528359 + 0.0504522i
\(355\) −19.7835 + 18.8635i −1.05000 + 1.00117i
\(356\) −32.9268 37.9995i −1.74512 2.01397i
\(357\) −15.5287 0.388239i −0.821867 0.0205478i
\(358\) −9.58149 2.81338i −0.506397 0.148692i
\(359\) −14.5313 20.4064i −0.766935 1.07701i −0.994652 0.103282i \(-0.967065\pi\)
0.227717 0.973727i \(-0.426874\pi\)
\(360\) −0.302209 + 6.34415i −0.0159278 + 0.334366i
\(361\) −10.6302 10.1359i −0.559484 0.533467i
\(362\) 15.0852 + 11.8632i 0.792863 + 0.623514i
\(363\) 9.26208 + 20.2811i 0.486133 + 1.06448i
\(364\) 0.302520 0.146508i 0.0158564 0.00767912i
\(365\) 18.8252 12.0982i 0.985357 0.633250i
\(366\) 0.651862 + 1.88343i 0.0340733 + 0.0984485i
\(367\) 4.52145 + 7.83138i 0.236018 + 0.408795i 0.959568 0.281477i \(-0.0908244\pi\)
−0.723550 + 0.690272i \(0.757491\pi\)
\(368\) −2.13414 0.965678i −0.111250 0.0503394i
\(369\) 3.72903 6.45887i 0.194126 0.336236i
\(370\) −24.0796 + 27.7893i −1.25184 + 1.44470i
\(371\) 3.28680 + 2.72043i 0.170642 + 0.141238i
\(372\) 2.79382 + 19.4314i 0.144853 + 1.00747i
\(373\) 31.1854 + 2.97785i 1.61472 + 0.154187i 0.862968 0.505258i \(-0.168603\pi\)
0.751753 + 0.659445i \(0.229209\pi\)
\(374\) −71.1942 + 28.5018i −3.68136 + 1.47380i
\(375\) 6.80912 + 6.49248i 0.351622 + 0.335270i
\(376\) −4.59485 + 2.36881i −0.236961 + 0.122162i
\(377\) 0.00818178 0.0179156i 0.000421383 0.000922700i
\(378\) 5.11763 3.11097i 0.263223 0.160011i
\(379\) −6.84635 7.90111i −0.351673 0.405853i 0.552159 0.833739i \(-0.313804\pi\)
−0.903833 + 0.427886i \(0.859259\pi\)
\(380\) −15.9006 + 3.06459i −0.815683 + 0.157210i
\(381\) −0.133432 0.550016i −0.00683595 0.0281782i
\(382\) −13.7004 + 1.30822i −0.700971 + 0.0669346i
\(383\) −17.2809 + 8.90892i −0.883013 + 0.455225i −0.839205 0.543815i \(-0.816979\pi\)
−0.0438077 + 0.999040i \(0.513949\pi\)
\(384\) 16.4463 4.82906i 0.839271 0.246432i
\(385\) 13.3602 35.6897i 0.680900 1.81892i
\(386\) 6.99703 + 15.3214i 0.356140 + 0.779837i
\(387\) 6.77239 + 2.71126i 0.344260 + 0.137821i
\(388\) −47.0696 24.2661i −2.38960 1.23192i
\(389\) 11.7236 + 2.25955i 0.594412 + 0.114564i 0.477580 0.878588i \(-0.341514\pi\)
0.116832 + 0.993152i \(0.462726\pi\)
\(390\) −0.114893 + 0.199000i −0.00581783 + 0.0100768i
\(391\) −5.42480 27.6295i −0.274344 1.39728i
\(392\) 16.1837 + 7.43769i 0.817400 + 0.375660i
\(393\) 10.5620 12.1892i 0.532780 0.614861i
\(394\) 2.16649 + 45.4802i 0.109146 + 2.29126i
\(395\) 1.66056 1.30588i 0.0835519 0.0657059i
\(396\) 10.4564 14.6840i 0.525456 0.737899i
\(397\) 11.7185 + 9.21552i 0.588134 + 0.462514i 0.867339 0.497718i \(-0.165829\pi\)
−0.279205 + 0.960231i \(0.590071\pi\)
\(398\) −1.00813 + 0.296013i −0.0505329 + 0.0148378i
\(399\) 3.88020 + 3.88949i 0.194253 + 0.194718i
\(400\) −0.249756 + 0.546889i −0.0124878 + 0.0273445i
\(401\) 2.23988 2.13572i 0.111854 0.106653i −0.632089 0.774896i \(-0.717802\pi\)
0.743943 + 0.668244i \(0.232954\pi\)
\(402\) 8.36177 24.1597i 0.417047 1.20498i
\(403\) −0.0835814 + 0.241493i −0.00416349 + 0.0120296i
\(404\) 17.9149 17.0819i 0.891302 0.849854i
\(405\) −1.03695 + 2.27060i −0.0515265 + 0.112827i
\(406\) 2.80261 0.747365i 0.139091 0.0370911i
\(407\) 36.0293 10.5792i 1.78591 0.524389i
\(408\) 11.7426 + 9.23448i 0.581345 + 0.457175i
\(409\) −4.98306 + 6.99773i −0.246397 + 0.346015i −0.919190 0.393815i \(-0.871155\pi\)
0.672793 + 0.739831i \(0.265094\pi\)
\(410\) −33.1253 + 26.0501i −1.63594 + 1.28652i
\(411\) −0.254830 5.34954i −0.0125698 0.263873i
\(412\) −13.3523 + 15.4094i −0.657821 + 0.759166i
\(413\) −3.54066 11.1220i −0.174224 0.547278i
\(414\) 7.51877 + 7.83078i 0.369527 + 0.384862i
\(415\) −2.33601 + 4.04608i −0.114670 + 0.198614i
\(416\) 0.247358 + 0.0476744i 0.0121277 + 0.00233743i
\(417\) 4.77895 + 2.46372i 0.234026 + 0.120649i
\(418\) 25.1804 + 10.0807i 1.23161 + 0.493064i
\(419\) 8.10984 + 17.7581i 0.396191 + 0.867538i 0.997642 + 0.0686285i \(0.0218623\pi\)
−0.601451 + 0.798910i \(0.705410\pi\)
\(420\) −20.3504 + 3.39707i −0.993000 + 0.165760i
\(421\) −1.68238 + 0.493992i −0.0819943 + 0.0240757i −0.322472 0.946579i \(-0.604514\pi\)
0.240478 + 0.970655i \(0.422696\pi\)
\(422\) 0.331401 0.170849i 0.0161323 0.00831680i
\(423\) −2.02250 + 0.193126i −0.0983375 + 0.00939009i
\(424\) −0.967365 3.98753i −0.0469794 0.193652i
\(425\) −7.09625 + 1.36769i −0.344219 + 0.0663427i
\(426\) −16.2332 18.7341i −0.786500 0.907670i
\(427\) −1.99055 + 1.21004i −0.0963296 + 0.0585580i
\(428\) 24.8140 54.3350i 1.19943 2.62638i
\(429\) 0.208573 0.107527i 0.0100700 0.00519144i
\(430\) −29.8321 28.4448i −1.43863 1.37173i
\(431\) 23.5876 9.44306i 1.13618 0.454856i 0.274133 0.961692i \(-0.411609\pi\)
0.862043 + 0.506836i \(0.169185\pi\)
\(432\) 0.486223 + 0.0464287i 0.0233934 + 0.00223380i
\(433\) −4.06352 28.2624i −0.195280 1.35820i −0.817756 0.575565i \(-0.804782\pi\)
0.622476 0.782639i \(-0.286127\pi\)
\(434\) −35.2774 + 13.1097i −1.69337 + 0.629287i
\(435\) −0.791679 + 0.913647i −0.0379581 + 0.0438060i
\(436\) −22.3311 + 38.6786i −1.06946 + 1.85237i
\(437\) −5.35495 + 8.39648i −0.256162 + 0.401658i
\(438\) 10.1464 + 17.5741i 0.484816 + 0.839725i
\(439\) −4.95939 14.3292i −0.236699 0.683896i −0.999314 0.0370431i \(-0.988206\pi\)
0.762615 0.646853i \(-0.223915\pi\)
\(440\) −30.8311 + 19.8139i −1.46981 + 0.944592i
\(441\) 4.81842 + 5.07768i 0.229449 + 0.241794i
\(442\) 0.224518 + 0.491626i 0.0106792 + 0.0233843i
\(443\) −11.5268 9.06479i −0.547656 0.430681i 0.305611 0.952157i \(-0.401139\pi\)
−0.853266 + 0.521475i \(0.825382\pi\)
\(444\) −14.7134 14.0292i −0.698269 0.665798i
\(445\) −1.91162 + 40.1298i −0.0906193 + 1.90233i
\(446\) −10.4650 14.6961i −0.495534 0.695881i
\(447\) −22.9168 6.72899i −1.08393 0.318270i
\(448\) 16.5047 + 30.3123i 0.779775 + 1.43212i
\(449\) −21.7805 25.1360i −1.02789 1.18624i −0.982306 0.187282i \(-0.940032\pi\)
−0.0455789 0.998961i \(-0.514513\pi\)
\(450\) 2.01657 1.92279i 0.0950618 0.0906413i
\(451\) 42.8402 4.09074i 2.01726 0.192625i
\(452\) 0.633310 13.2948i 0.0297884 0.625335i
\(453\) 0.269099 1.10924i 0.0126434 0.0521167i
\(454\) 8.14076 56.6202i 0.382065 2.65732i
\(455\) −0.255724 0.0820834i −0.0119885 0.00384813i
\(456\) −0.751935 5.22982i −0.0352126 0.244909i
\(457\) −0.419696 8.81051i −0.0196326 0.412138i −0.987196 0.159511i \(-0.949008\pi\)
0.967564 0.252627i \(-0.0812947\pi\)
\(458\) 50.7024 + 9.77208i 2.36917 + 0.456619i
\(459\) 2.93557 + 5.08455i 0.137021 + 0.237327i
\(460\) −14.0203 34.6713i −0.653699 1.61656i
\(461\) 10.7464 0.500511 0.250255 0.968180i \(-0.419485\pi\)
0.250255 + 0.968180i \(0.419485\pi\)
\(462\) 31.7517 + 13.6418i 1.47722 + 0.634676i
\(463\) 22.9664 14.7596i 1.06734 0.685937i 0.115740 0.993280i \(-0.463076\pi\)
0.951599 + 0.307342i \(0.0994397\pi\)
\(464\) 0.219610 + 0.0879184i 0.0101951 + 0.00408151i
\(465\) 9.09866 12.7773i 0.421940 0.592532i
\(466\) 2.92912 1.17264i 0.135689 0.0543217i
\(467\) 1.76226 7.26412i 0.0815475 0.336144i −0.916394 0.400278i \(-0.868914\pi\)
0.997941 + 0.0641345i \(0.0204287\pi\)
\(468\) −0.106877 0.0686858i −0.00494040 0.00317500i
\(469\) 29.6659 + 3.58300i 1.36985 + 0.165447i
\(470\) 11.0150 + 3.23429i 0.508084 + 0.149187i
\(471\) 0.999516 0.192641i 0.0460553 0.00887643i
\(472\) −3.67133 + 10.6076i −0.168987 + 0.488255i
\(473\) 9.92398 + 40.9072i 0.456305 + 1.88092i
\(474\) 1.11123 + 1.56050i 0.0510405 + 0.0716764i
\(475\) 2.15028 + 1.38190i 0.0986614 + 0.0634058i
\(476\) −21.2560 + 43.6246i −0.974269 + 1.99953i
\(477\) 0.229500 1.59621i 0.0105081 0.0730853i
\(478\) 4.67120 + 0.446046i 0.213656 + 0.0204017i
\(479\) −18.6541 + 14.6697i −0.852326 + 0.670277i −0.945588 0.325365i \(-0.894513\pi\)
0.0932626 + 0.995642i \(0.470270\pi\)
\(480\) −13.7437 7.08536i −0.627310 0.323401i
\(481\) −0.0865559 0.250087i −0.00394661 0.0114030i
\(482\) 8.21726 0.374286
\(483\) −7.08808 + 10.5242i −0.322519 + 0.478869i
\(484\) 69.6536 3.16607
\(485\) 13.8394 + 39.9862i 0.628413 + 1.81568i
\(486\) −2.01200 1.03726i −0.0912661 0.0470510i
\(487\) −13.0117 + 10.2325i −0.589617 + 0.463680i −0.867845 0.496835i \(-0.834495\pi\)
0.278228 + 0.960515i \(0.410253\pi\)
\(488\) 2.23013 + 0.212951i 0.100953 + 0.00963986i
\(489\) −3.47337 + 24.1578i −0.157071 + 1.09245i
\(490\) −14.6125 36.7549i −0.660126 1.66042i
\(491\) 4.82396 + 3.10017i 0.217702 + 0.139909i 0.644947 0.764227i \(-0.276879\pi\)
−0.427245 + 0.904136i \(0.640516\pi\)
\(492\) −13.5149 18.9791i −0.609300 0.855643i
\(493\) 0.670370 + 2.76330i 0.0301920 + 0.124453i
\(494\) 0.0625209 0.180642i 0.00281295 0.00812748i
\(495\) −14.1433 + 2.72590i −0.635695 + 0.122520i
\(496\) −2.94496 0.864718i −0.132233 0.0388270i
\(497\) 17.3908 23.1735i 0.780082 1.03947i
\(498\) −3.56420 2.29057i −0.159715 0.102643i
\(499\) −3.87740 + 15.9829i −0.173576 + 0.715491i 0.816780 + 0.576949i \(0.195757\pi\)
−0.990356 + 0.138542i \(0.955758\pi\)
\(500\) 27.2866 10.9239i 1.22029 0.488532i
\(501\) −8.39255 + 11.7857i −0.374951 + 0.526545i
\(502\) −64.8131 25.9472i −2.89275 1.15808i
\(503\) −23.6342 + 15.1888i −1.05380 + 0.677235i −0.948362 0.317191i \(-0.897260\pi\)
−0.105437 + 0.994426i \(0.533624\pi\)
\(504\) −0.791211 6.68526i −0.0352433 0.297785i
\(505\) −19.7786 −0.880135
\(506\) −11.6412 + 61.5509i −0.517516 + 2.73627i
\(507\) 6.49917 + 11.2569i 0.288638 + 0.499936i
\(508\) −1.73616 0.334618i −0.0770298 0.0148463i
\(509\) 0.630694 + 13.2399i 0.0279550 + 0.586848i 0.968775 + 0.247941i \(0.0797541\pi\)
−0.940820 + 0.338907i \(0.889943\pi\)
\(510\) −4.72122 32.8368i −0.209059 1.45404i
\(511\) −17.5696 + 15.9334i −0.777232 + 0.704854i
\(512\) −0.784322 + 5.45508i −0.0346625 + 0.241083i
\(513\) 0.489563 2.01801i 0.0216147 0.0890971i
\(514\) −0.882884 + 18.5340i −0.0389423 + 0.817500i
\(515\) 16.2179 1.54862i 0.714647 0.0682405i
\(516\) 16.4937 15.7267i 0.726095 0.692330i
\(517\) −7.67724 8.86001i −0.337645 0.389663i
\(518\) 20.3244 33.2548i 0.893005 1.46113i
\(519\) −11.8357 3.47529i −0.519531 0.152548i
\(520\) 0.149823 + 0.210396i 0.00657015 + 0.00922649i
\(521\) 1.36452 28.6448i 0.0597807 1.25495i −0.747291 0.664497i \(-0.768646\pi\)
0.807071 0.590454i \(-0.201051\pi\)
\(522\) −0.793433 0.756536i −0.0347276 0.0331127i
\(523\) 27.1460 + 21.3479i 1.18701 + 0.933477i 0.998816 0.0486549i \(-0.0154935\pi\)
0.188196 + 0.982131i \(0.439736\pi\)
\(524\) −20.9312 45.8330i −0.914386 2.00223i
\(525\) 2.69484 + 1.82862i 0.117612 + 0.0798076i
\(526\) 0.319351 0.205235i 0.0139244 0.00894866i
\(527\) −12.0668 34.8646i −0.525637 1.51873i
\(528\) 1.40920 + 2.44080i 0.0613275 + 0.106222i
\(529\) −21.4114 8.39961i −0.930929 0.365201i
\(530\) −4.55601 + 7.89124i −0.197900 + 0.342773i
\(531\) −2.88898 + 3.33406i −0.125371 + 0.144686i
\(532\) 16.0885 5.97880i 0.697526 0.259214i
\(533\) −0.0431635 0.300209i −0.00186962 0.0130035i
\(534\) −36.2676 3.46313i −1.56945 0.149864i
\(535\) −44.3091 + 17.7387i −1.91565 + 0.766910i
\(536\) −20.7981 19.8309i −0.898339 0.856564i
\(537\) −3.92108 + 2.02146i −0.169207 + 0.0872324i
\(538\) 26.3647 57.7305i 1.13666 2.48894i
\(539\) −7.73908 + 39.6435i −0.333346 + 1.70757i
\(540\) 5.10672 + 5.89347i 0.219758 + 0.253614i
\(541\) −16.2134 + 3.12487i −0.697068 + 0.134349i −0.525462 0.850817i \(-0.676108\pi\)
−0.171606 + 0.985166i \(0.554895\pi\)
\(542\) 1.41165 + 5.81892i 0.0606357 + 0.249944i
\(543\) 8.43962 0.805886i 0.362179 0.0345839i
\(544\) −32.3258 + 16.6651i −1.38596 + 0.714510i
\(545\) 34.2405 10.0539i 1.46670 0.430663i
\(546\) 0.0853865 0.228096i 0.00365420 0.00976162i
\(547\) −0.251189 0.550028i −0.0107401 0.0235175i 0.904186 0.427139i \(-0.140479\pi\)
−0.914926 + 0.403622i \(0.867751\pi\)
\(548\) −15.5327 6.21834i −0.663523 0.265634i
\(549\) 0.782586 + 0.403451i 0.0334000 + 0.0172189i
\(550\) 15.7873 + 3.04276i 0.673175 + 0.129744i
\(551\) 0.502846 0.870954i 0.0214220 0.0371039i
\(552\) 11.5176 4.03115i 0.490220 0.171577i
\(553\) −1.50814 + 1.65503i −0.0641328 + 0.0703791i
\(554\) 20.8131 24.0196i 0.884263 1.02049i
\(555\) 0.772922 + 16.2256i 0.0328087 + 0.688740i
\(556\) 13.2032 10.3831i 0.559942 0.440343i
\(557\) 23.5507 33.0724i 0.997876 1.40132i 0.0834760 0.996510i \(-0.473398\pi\)
0.914400 0.404811i \(-0.132663\pi\)
\(558\) 11.1812 + 8.79301i 0.473339 + 0.372238i
\(559\) 0.284646 0.0835795i 0.0120392 0.00353504i
\(560\) 0.838613 3.11484i 0.0354379 0.131626i
\(561\) −14.0734 + 30.8165i −0.594181 + 1.30107i
\(562\) 43.2834 41.2706i 1.82580 1.74090i
\(563\) −7.87799 + 22.7619i −0.332017 + 0.959302i 0.648216 + 0.761457i \(0.275515\pi\)
−0.980233 + 0.197845i \(0.936606\pi\)
\(564\) −2.07594 + 5.99804i −0.0874130 + 0.252563i
\(565\) −7.69683 + 7.33891i −0.323808 + 0.308750i
\(566\) −6.32654 + 13.8532i −0.265924 + 0.582293i
\(567\) 0.687827 2.55478i 0.0288860 0.107291i
\(568\) −26.7350 + 7.85010i −1.12178 + 0.329383i
\(569\) −5.61359 4.41458i −0.235334 0.185069i 0.493527 0.869731i \(-0.335707\pi\)
−0.728861 + 0.684662i \(0.759950\pi\)
\(570\) −6.80602 + 9.55771i −0.285073 + 0.400329i
\(571\) 34.4213 27.0692i 1.44049 1.13281i 0.472646 0.881253i \(-0.343299\pi\)
0.967842 0.251559i \(-0.0809434\pi\)
\(572\) −0.0348815 0.732254i −0.00145847 0.0306171i
\(573\) −3.98149 + 4.59488i −0.166329 + 0.191954i
\(574\) 30.0849 33.0151i 1.25572 1.37802i
\(575\) −2.17495 + 5.48798i −0.0907019 + 0.228864i
\(576\) 6.52260 11.2975i 0.271775 0.470728i
\(577\) −13.9427 2.68723i −0.580442 0.111871i −0.109425 0.993995i \(-0.534901\pi\)
−0.471017 + 0.882124i \(0.656113\pi\)
\(578\) −35.1501 18.1211i −1.46205 0.753739i
\(579\) 6.90789 + 2.76550i 0.287082 + 0.114930i
\(580\) 1.56892 + 3.43545i 0.0651457 + 0.142649i
\(581\) 1.73608 4.63766i 0.0720248 0.192403i
\(582\) −36.8172 + 10.8105i −1.52612 + 0.448109i
\(583\) 8.27084 4.26391i 0.342543 0.176593i
\(584\) 22.7068 2.16824i 0.939614 0.0897223i
\(585\) 0.0239323 + 0.0986503i 0.000989479 + 0.00407869i
\(586\) 36.1763 6.97241i 1.49443 0.288028i
\(587\) −9.35029 10.7908i −0.385928 0.445384i 0.529231 0.848478i \(-0.322480\pi\)
−0.915159 + 0.403093i \(0.867935\pi\)
\(588\) 20.6826 7.10296i 0.852937 0.292921i
\(589\) −5.42068 + 11.8696i −0.223355 + 0.489079i
\(590\) 22.1564 11.4224i 0.912165 0.470254i
\(591\) 14.5575 + 13.8806i 0.598816 + 0.570970i
\(592\) 2.95083 1.18134i 0.121279 0.0485526i
\(593\) 31.4721 + 3.00522i 1.29240 + 0.123409i 0.718507 0.695519i \(-0.244826\pi\)
0.573895 + 0.818929i \(0.305432\pi\)
\(594\) −1.85888 12.9288i −0.0762710 0.530476i
\(595\) 36.3460 13.5069i 1.49004 0.553727i
\(596\) −48.8629 + 56.3908i −2.00150 + 2.30986i
\(597\) −0.232080 + 0.401974i −0.00949840 + 0.0164517i
\(598\) 0.437202 + 0.0613101i 0.0178785 + 0.00250715i
\(599\) 9.49438 + 16.4447i 0.387930 + 0.671914i 0.992171 0.124888i \(-0.0398570\pi\)
−0.604241 + 0.796801i \(0.706524\pi\)
\(600\) −1.02437 2.95971i −0.0418195 0.120830i
\(601\) 1.16615 0.749439i 0.0475682 0.0305703i −0.516641 0.856202i \(-0.672818\pi\)
0.564209 + 0.825632i \(0.309181\pi\)
\(602\) 36.1521 + 24.5316i 1.47345 + 0.999833i
\(603\) −4.69176 10.2735i −0.191063 0.418370i
\(604\) −2.80294 2.20425i −0.114050 0.0896898i
\(605\) −40.2792 38.4062i −1.63758 1.56143i
\(606\) 0.853429 17.9157i 0.0346682 0.727775i
\(607\) 2.67970 + 3.76311i 0.108766 + 0.152740i 0.865371 0.501132i \(-0.167083\pi\)
−0.756605 + 0.653872i \(0.773144\pi\)
\(608\) 12.3421 + 3.62396i 0.500537 + 0.146971i
\(609\) 0.668219 1.09334i 0.0270776 0.0443042i
\(610\) −3.25793 3.75985i −0.131910 0.152232i
\(611\) −0.0597971 + 0.0570164i −0.00241913 + 0.00230664i
\(612\) 18.2586 1.74349i 0.738062 0.0704763i
\(613\) 1.25504 26.3465i 0.0506905 1.06412i −0.820022 0.572332i \(-0.806039\pi\)
0.870713 0.491792i \(-0.163658\pi\)
\(614\) 15.5102 63.9339i 0.625940 2.58016i
\(615\) −2.64943 + 18.4272i −0.106835 + 0.743056i
\(616\) 28.7746 26.0951i 1.15936 1.05140i
\(617\) −0.501419 3.48744i −0.0201864 0.140399i 0.977236 0.212156i \(-0.0680485\pi\)
−0.997422 + 0.0717569i \(0.977139\pi\)
\(618\) 0.702973 + 14.7572i 0.0282777 + 0.593622i
\(619\) −7.93717 1.52977i −0.319022 0.0614865i 0.0272265 0.999629i \(-0.491332\pi\)
−0.346248 + 0.938143i \(0.612545\pi\)
\(620\) −24.5016 42.4380i −0.984007 1.70435i
\(621\) 4.79116 + 0.211545i 0.192263 + 0.00848899i
\(622\) −25.4571 −1.02074
\(623\) −5.00478 42.2875i −0.200512 1.69421i
\(624\) 0.0167099 0.0107388i 0.000668932 0.000429896i
\(625\) −27.5163 11.0159i −1.10065 0.440634i
\(626\) 26.3617 37.0199i 1.05363 1.47961i
\(627\) 11.1239 4.45333i 0.444245 0.177849i
\(628\) 0.749714 3.09036i 0.0299168 0.123319i
\(629\) 32.1416 + 20.6561i 1.28157 + 0.823614i
\(630\) −8.97331 + 11.9571i −0.357505 + 0.476382i
\(631\) 18.4605 + 5.42050i 0.734903 + 0.215787i 0.627705 0.778451i \(-0.283994\pi\)
0.107197 + 0.994238i \(0.465812\pi\)
\(632\) 2.11445 0.407526i 0.0841082 0.0162105i
\(633\) 0.0538721 0.155653i 0.00214122 0.00618666i
\(634\) −9.20482 37.9428i −0.365570 1.50690i
\(635\) 0.819482 + 1.15080i 0.0325202 + 0.0456682i
\(636\) −4.23815 2.72369i −0.168054 0.108001i
\(637\) 0.281673 + 0.0411865i 0.0111603 + 0.00163187i
\(638\) 0.900279 6.26158i 0.0356424 0.247898i
\(639\) −10.9013 1.04095i −0.431248 0.0411792i
\(640\) −33.6321 + 26.4485i −1.32942 + 1.04547i
\(641\) 3.35006 + 1.72707i 0.132319 + 0.0682153i 0.523115 0.852262i \(-0.324770\pi\)
−0.390796 + 0.920477i \(0.627800\pi\)
\(642\) −14.1560 40.9012i −0.558694 1.61424i
\(643\) 10.5874 0.417527 0.208764 0.977966i \(-0.433056\pi\)
0.208764 + 0.977966i \(0.433056\pi\)
\(644\) 20.7083 + 33.8005i 0.816020 + 1.33193i
\(645\) −18.2095 −0.716998
\(646\) 9.02624 + 26.0796i 0.355133 + 1.02609i
\(647\) −5.30291 2.73384i −0.208479 0.107478i 0.350825 0.936441i \(-0.385901\pi\)
−0.559304 + 0.828963i \(0.688932\pi\)
\(648\) −2.00005 + 1.57286i −0.0785696 + 0.0617878i
\(649\) −25.3408 2.41975i −0.994714 0.0949836i
\(650\) 0.0161259 0.112158i 0.000632510 0.00439921i
\(651\) −7.28239 + 14.9459i −0.285420 + 0.585777i
\(652\) 64.1423 + 41.2218i 2.51201 + 1.61437i
\(653\) 18.6847 + 26.2391i 0.731191 + 1.02681i 0.998009 + 0.0630667i \(0.0200881\pi\)
−0.266819 + 0.963747i \(0.585973\pi\)
\(654\) 7.62952 + 31.4493i 0.298338 + 1.22976i
\(655\) −13.1677 + 38.0455i −0.514504 + 1.48656i
\(656\) 3.57695 0.689400i 0.139656 0.0269166i
\(657\) 8.60159 + 2.52566i 0.335580 + 0.0985352i
\(658\) −12.0801 1.45901i −0.470932 0.0568783i
\(659\) −19.5077 12.5368i −0.759911 0.488365i 0.102400 0.994743i \(-0.467348\pi\)
−0.862312 + 0.506378i \(0.830984\pi\)
\(660\) −10.6086 + 43.7291i −0.412938 + 1.70215i
\(661\) −41.4042 + 16.5757i −1.61044 + 0.644722i −0.990195 0.139689i \(-0.955390\pi\)
−0.620242 + 0.784411i \(0.712965\pi\)
\(662\) −5.49949 + 7.72296i −0.213744 + 0.300161i
\(663\) 0.221658 + 0.0887384i 0.00860847 + 0.00344631i
\(664\) −4.00631 + 2.57470i −0.155475 + 0.0999178i
\(665\) −12.6003 5.41361i −0.488618 0.209931i
\(666\) −14.7307 −0.570805
\(667\) 2.19756 + 0.752040i 0.0850898 + 0.0291191i
\(668\) 22.6001 + 39.1445i 0.874424 + 1.51455i
\(669\) −7.82608 1.50835i −0.302574 0.0583163i
\(670\) 3.03653 + 63.7446i 0.117311 + 2.46267i
\(671\) 0.723031 + 5.02879i 0.0279123 + 0.194134i
\(672\) 15.6049 + 5.00893i 0.601972 + 0.193223i
\(673\) −6.47838 + 45.0581i −0.249723 + 1.73686i 0.350085 + 0.936718i \(0.386153\pi\)
−0.599808 + 0.800144i \(0.704756\pi\)
\(674\) 18.2233 75.1173i 0.701933 2.89341i
\(675\) 0.0585691 1.22952i 0.00225433 0.0473242i
\(676\) 40.4235 3.85998i 1.55475 0.148461i
\(677\) −20.0027 + 19.0725i −0.768765 + 0.733016i −0.969088 0.246714i \(-0.920649\pi\)
0.200323 + 0.979730i \(0.435801\pi\)
\(678\) −6.31557 7.28856i −0.242548 0.279915i
\(679\) −21.4467 39.3886i −0.823047 1.51159i
\(680\) −35.7791 10.5057i −1.37207 0.402875i
\(681\) −14.6581 20.5845i −0.561701 0.788799i
\(682\) −3.90549 + 81.9863i −0.149549 + 3.13942i
\(683\) −16.7976 16.0165i −0.642742 0.612853i 0.296943 0.954895i \(-0.404033\pi\)
−0.939685 + 0.342042i \(0.888881\pi\)
\(684\) −5.09929 4.01012i −0.194976 0.153331i
\(685\) 5.55350 + 12.1605i 0.212188 + 0.464628i
\(686\) 21.6910 + 35.8754i 0.828167 + 1.36973i
\(687\) 19.1897 12.3325i 0.732133 0.470514i
\(688\) 1.16538 + 3.36714i 0.0444296 + 0.128371i
\(689\) −0.0327901 0.0567941i −0.00124920 0.00216368i
\(690\) −24.6887 11.1714i −0.939882 0.425288i
\(691\) −9.35815 + 16.2088i −0.356001 + 0.616611i −0.987289 0.158937i \(-0.949193\pi\)
0.631288 + 0.775548i \(0.282527\pi\)
\(692\) −25.2360 + 29.1239i −0.959327 + 1.10712i
\(693\) 14.3105 5.31805i 0.543611 0.202016i
\(694\) 8.78812 + 61.1227i 0.333593 + 2.32019i
\(695\) −13.3603 1.27575i −0.506785 0.0483921i
\(696\) −1.14402 + 0.457998i −0.0433641 + 0.0173604i
\(697\) 31.6904 + 30.2167i 1.20036 + 1.14454i
\(698\) −17.3287 + 8.93357i −0.655901 + 0.338141i
\(699\) 0.579019 1.26788i 0.0219005 0.0479554i
\(700\) 8.69375 5.28486i 0.328593 0.199749i
\(701\) −12.7942 14.7653i −0.483229 0.557676i 0.460815 0.887496i \(-0.347557\pi\)
−0.944044 + 0.329820i \(0.893012\pi\)
\(702\) −0.0903914 + 0.0174215i −0.00341160 + 0.000657533i
\(703\) −3.18586 13.1323i −0.120157 0.495294i
\(704\) 74.9334 7.15527i 2.82416 0.269675i
\(705\) 4.50773 2.32389i 0.169771 0.0875229i
\(706\) −6.60822 + 1.94035i −0.248704 + 0.0730260i
\(707\) 20.6776 3.45168i 0.777661 0.129814i
\(708\) 5.72526 + 12.5366i 0.215168 + 0.471153i
\(709\) 33.2805 + 13.3235i 1.24988 + 0.500375i 0.899782 0.436340i \(-0.143726\pi\)
0.350093 + 0.936715i \(0.386150\pi\)
\(710\) 54.9986 + 28.3538i 2.06406 + 1.06410i
\(711\) 0.831011 + 0.160164i 0.0311654 + 0.00600663i
\(712\) −20.4759 + 35.4653i −0.767367 + 1.32912i
\(713\) −29.3117 7.00316i −1.09773 0.262270i
\(714\) 10.6664 + 33.5055i 0.399179 + 1.25391i
\(715\) −0.383585 + 0.442680i −0.0143453 + 0.0165553i
\(716\) 0.655758 + 13.7661i 0.0245068 + 0.514462i
\(717\) 1.62946 1.28143i 0.0608535 0.0478557i
\(718\) −32.8937 + 46.1927i −1.22758 + 1.72390i
\(719\) 21.7919 + 17.1374i 0.812702 + 0.639116i 0.935504 0.353315i \(-0.114946\pi\)
−0.122802 + 0.992431i \(0.539188\pi\)
\(720\) −1.16983 + 0.343494i −0.0435971 + 0.0128013i
\(721\) −16.6848 + 4.44930i −0.621376 + 0.165701i
\(722\) −13.8118 + 30.2437i −0.514023 + 1.12555i
\(723\) 2.62724 2.50507i 0.0977080 0.0931644i
\(724\) 8.66262 25.0290i 0.321944 0.930195i
\(725\) 0.194980 0.563357i 0.00724137 0.0209226i
\(726\) 36.5268 34.8282i 1.35564 1.29260i
\(727\) −10.8519 + 23.7623i −0.402474 + 0.881294i 0.594540 + 0.804066i \(0.297334\pi\)
−0.997013 + 0.0772281i \(0.975393\pi\)
\(728\) −0.193350 0.193813i −0.00716603 0.00718320i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) −39.8172 31.3126i −1.47370 1.15893i
\(731\) −24.8436 + 34.8880i −0.918874 + 1.29038i
\(732\) 2.16212 1.70031i 0.0799143 0.0628453i
\(733\) 0.0133116 + 0.279445i 0.000491676 + 0.0103216i 0.999100 0.0424205i \(-0.0135069\pi\)
−0.998608 + 0.0527421i \(0.983204\pi\)
\(734\) 13.4049 15.4701i 0.494783 0.571010i
\(735\) −15.8768 7.29666i −0.585625 0.269141i
\(736\) −2.72110 + 29.5829i −0.100301 + 1.09044i
\(737\) 32.5851 56.4391i 1.20029 2.07896i
\(738\) −16.5773 3.19500i −0.610217 0.117610i
\(739\) 14.8324 + 7.64662i 0.545618 + 0.281286i 0.708918 0.705291i \(-0.249184\pi\)
−0.163300 + 0.986576i \(0.552214\pi\)
\(740\) 47.1120 + 18.8608i 1.73187 + 0.693336i
\(741\) −0.0350803 0.0768151i −0.00128871 0.00282187i
\(742\) 3.38595 9.04503i 0.124302 0.332053i
\(743\) −11.8524 + 3.48018i −0.434823 + 0.127675i −0.491816 0.870699i \(-0.663667\pi\)
0.0569935 + 0.998375i \(0.481849\pi\)
\(744\) 14.2116 7.32658i 0.521022 0.268605i
\(745\) 59.3496 5.66720i 2.17440 0.207630i
\(746\) −16.7185 68.9146i −0.612108 2.52314i
\(747\) −1.83784 + 0.354215i −0.0672431 + 0.0129600i
\(748\) 69.3081 + 79.9858i 2.53416 + 2.92457i
\(749\) 43.2275 26.2776i 1.57950 0.960164i
\(750\) 8.84710 19.3724i 0.323050 0.707381i
\(751\) −7.50223 + 3.86767i −0.273760 + 0.141133i −0.589641 0.807666i \(-0.700731\pi\)
0.315880 + 0.948799i \(0.397700\pi\)
\(752\) −0.718201 0.684803i −0.0261901 0.0249722i
\(753\) −28.6323 + 11.4626i −1.04342 + 0.417722i
\(754\) −0.0443814 0.00423791i −0.00161627 0.000154336i
\(755\) 0.405481 + 2.82018i 0.0147570 + 0.102637i
\(756\) −6.36735 5.27015i −0.231578 0.191673i
\(757\) −28.9784 + 33.4429i −1.05324 + 1.21550i −0.0774022 + 0.997000i \(0.524663\pi\)
−0.975836 + 0.218502i \(0.929883\pi\)
\(758\) −11.8328 + 20.4950i −0.429786 + 0.744411i
\(759\) 15.0421 + 23.2281i 0.545993 + 0.843125i
\(760\) 6.59441 + 11.4219i 0.239204 + 0.414314i
\(761\) −10.7551 31.0749i −0.389873 1.12646i −0.953749 0.300604i \(-0.902812\pi\)
0.563876 0.825859i \(-0.309309\pi\)
\(762\) −1.07777 + 0.692641i −0.0390435 + 0.0250918i
\(763\) −34.0423 + 16.4864i −1.23241 + 0.596849i
\(764\) 7.89034 + 17.2774i 0.285462 + 0.625076i
\(765\) −11.5199 9.05937i −0.416504 0.327542i
\(766\) 31.8515 + 30.3704i 1.15084 + 1.09733i
\(767\) −0.00853647 + 0.179203i −0.000308234 + 0.00647063i
\(768\) −7.37232 10.3530i −0.266026 0.373581i
\(769\) 9.32556 + 2.73823i 0.336288 + 0.0987431i 0.445517 0.895274i \(-0.353020\pi\)
−0.109229 + 0.994017i \(0.534838\pi\)
\(770\) −86.2366 2.15603i −3.10775 0.0776980i
\(771\) 5.36790 + 6.19488i 0.193320 + 0.223103i
\(772\) 16.8237 16.0414i 0.605498 0.577342i
\(773\) 8.7611