Properties

Label 177.2.e.a.19.3
Level $177$
Weight $2$
Character 177.19
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 177.19
Dual form 177.2.e.a.28.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0292574 - 0.0551852i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(1.12018 + 1.65215i) q^{4} +(-2.41343 + 0.531236i) q^{5} +(0.0167101 + 0.0601845i) q^{6} +(-2.91820 + 2.21836i) q^{7} +(0.248138 - 0.0269866i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(0.0292574 - 0.0551852i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(1.12018 + 1.65215i) q^{4} +(-2.41343 + 0.531236i) q^{5} +(0.0167101 + 0.0601845i) q^{6} +(-2.91820 + 2.21836i) q^{7} +(0.248138 - 0.0269866i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(-0.0412942 + 0.148728i) q^{10} +(-1.21445 - 3.04803i) q^{11} +(-1.94943 - 0.429102i) q^{12} +(0.167630 + 3.09175i) q^{13} +(0.0370418 + 0.225945i) q^{14} +(1.38681 - 2.04539i) q^{15} +(-1.47189 + 3.69418i) q^{16} +(5.50074 + 4.18155i) q^{17} +(-0.0535203 - 0.0322021i) q^{18} +(4.59260 - 1.54743i) q^{19} +(-3.58117 - 3.39226i) q^{20} +(0.593037 - 3.61736i) q^{21} +(-0.203738 - 0.0221578i) q^{22} +(-1.26009 + 0.758170i) q^{23} +(-0.161588 + 0.190237i) q^{24} +(1.00456 - 0.464759i) q^{25} +(0.175523 + 0.0812057i) q^{26} +(0.647386 + 0.762162i) q^{27} +(-6.93398 - 2.33633i) q^{28} +(0.671518 + 1.26662i) q^{29} +(-0.0723010 - 0.136374i) q^{30} +(5.47847 + 1.84591i) q^{31} +(0.483977 + 0.569782i) q^{32} +(2.97781 + 1.37768i) q^{33} +(0.391697 - 0.181218i) q^{34} +(5.86440 - 6.90411i) q^{35} +(1.71037 - 1.02910i) q^{36} +(-0.515008 - 0.0560105i) q^{37} +(0.0489723 - 0.298718i) q^{38} +(-2.24789 - 2.12932i) q^{39} +(-0.584528 + 0.196950i) q^{40} +(-4.21757 - 2.53763i) q^{41} +(-0.182274 - 0.138561i) q^{42} +(3.09969 - 7.77963i) q^{43} +(3.67540 - 5.42081i) q^{44} +(0.399797 + 2.43865i) q^{45} +(0.00497293 + 0.0917203i) q^{46} +(0.114449 + 0.0251921i) q^{47} +(-1.47189 - 3.69418i) q^{48} +(1.72208 - 6.20238i) q^{49} +(0.00374294 - 0.0690346i) q^{50} +(-6.86916 + 0.747067i) q^{51} +(-4.92025 + 3.74028i) q^{52} +(1.48873 + 5.36191i) q^{53} +(0.0610009 - 0.0134273i) q^{54} +(4.55021 + 6.71106i) q^{55} +(-0.664250 + 0.629211i) q^{56} +(-2.27004 + 4.28176i) q^{57} +0.0895455 q^{58} +(-2.54681 - 7.24664i) q^{59} +4.93277 q^{60} +(-0.707743 + 1.33494i) q^{61} +(0.262153 - 0.248324i) q^{62} +(2.05712 + 3.03402i) q^{63} +(-7.72167 + 1.69967i) q^{64} +(-2.04701 - 7.37267i) q^{65} +(0.163151 - 0.124024i) q^{66} +(10.3119 - 1.12148i) q^{67} +(-0.746704 + 13.7722i) q^{68} +(0.393425 - 1.41699i) q^{69} +(-0.209428 - 0.525624i) q^{70} +(-12.6642 - 2.78759i) q^{71} +(-0.0135131 - 0.249235i) q^{72} +(2.54705 + 15.5363i) q^{73} +(-0.0181587 + 0.0267821i) q^{74} +(-0.409692 + 1.02825i) q^{75} +(7.70114 + 5.85426i) q^{76} +(10.3056 + 6.20069i) q^{77} +(-0.183274 + 0.0617523i) q^{78} +(-2.29503 - 2.17397i) q^{79} +(1.58983 - 9.69756i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-0.263435 + 0.158503i) q^{82} +(-5.54894 + 6.53272i) q^{83} +(6.64073 - 3.07233i) q^{84} +(-15.4970 - 7.16970i) q^{85} +(-0.338632 - 0.398669i) q^{86} +(-1.35857 - 0.457756i) q^{87} +(-0.383607 - 0.723559i) q^{88} +(6.92334 + 13.0588i) q^{89} +(0.146275 + 0.0492856i) q^{90} +(-7.34779 - 8.65048i) q^{91} +(-2.66414 - 1.23256i) q^{92} +(-5.24678 + 2.42742i) q^{93} +(0.00473871 - 0.00557884i) q^{94} +(-10.2619 + 6.17437i) q^{95} +(-0.743204 - 0.0808283i) q^{96} +(2.63573 - 16.0773i) q^{97} +(-0.291896 - 0.276499i) q^{98} +(-3.10931 + 1.04765i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0292574 0.0551852i 0.0206881 0.0390219i −0.872953 0.487805i \(-0.837798\pi\)
0.893641 + 0.448783i \(0.148142\pi\)
\(3\) −0.725995 + 0.687699i −0.419154 + 0.397043i
\(4\) 1.12018 + 1.65215i 0.560092 + 0.826074i
\(5\) −2.41343 + 0.531236i −1.07932 + 0.237576i −0.718829 0.695187i \(-0.755322\pi\)
−0.360490 + 0.932763i \(0.617391\pi\)
\(6\) 0.0167101 + 0.0601845i 0.00682189 + 0.0245702i
\(7\) −2.91820 + 2.21836i −1.10298 + 0.838461i −0.987930 0.154900i \(-0.950495\pi\)
−0.115046 + 0.993360i \(0.536702\pi\)
\(8\) 0.248138 0.0269866i 0.0877300 0.00954122i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) −0.0412942 + 0.148728i −0.0130584 + 0.0470320i
\(11\) −1.21445 3.04803i −0.366170 0.919016i −0.990457 0.137822i \(-0.955990\pi\)
0.624288 0.781195i \(-0.285389\pi\)
\(12\) −1.94943 0.429102i −0.562752 0.123871i
\(13\) 0.167630 + 3.09175i 0.0464921 + 0.857497i 0.925046 + 0.379854i \(0.124026\pi\)
−0.878554 + 0.477643i \(0.841491\pi\)
\(14\) 0.0370418 + 0.225945i 0.00989983 + 0.0603863i
\(15\) 1.38681 2.04539i 0.358073 0.528118i
\(16\) −1.47189 + 3.69418i −0.367973 + 0.923544i
\(17\) 5.50074 + 4.18155i 1.33413 + 1.01418i 0.997362 + 0.0725862i \(0.0231253\pi\)
0.336763 + 0.941589i \(0.390668\pi\)
\(18\) −0.0535203 0.0322021i −0.0126149 0.00759011i
\(19\) 4.59260 1.54743i 1.05362 0.355004i 0.261390 0.965233i \(-0.415819\pi\)
0.792225 + 0.610229i \(0.208923\pi\)
\(20\) −3.58117 3.39226i −0.800774 0.758533i
\(21\) 0.593037 3.61736i 0.129411 0.789373i
\(22\) −0.203738 0.0221578i −0.0434371 0.00472407i
\(23\) −1.26009 + 0.758170i −0.262747 + 0.158089i −0.640832 0.767682i \(-0.721410\pi\)
0.378085 + 0.925771i \(0.376583\pi\)
\(24\) −0.161588 + 0.190237i −0.0329841 + 0.0388319i
\(25\) 1.00456 0.464759i 0.200912 0.0929519i
\(26\) 0.175523 + 0.0812057i 0.0344230 + 0.0159258i
\(27\) 0.647386 + 0.762162i 0.124590 + 0.146678i
\(28\) −6.93398 2.33633i −1.31040 0.441525i
\(29\) 0.671518 + 1.26662i 0.124698 + 0.235205i 0.937999 0.346638i \(-0.112677\pi\)
−0.813301 + 0.581843i \(0.802332\pi\)
\(30\) −0.0723010 0.136374i −0.0132003 0.0248984i
\(31\) 5.47847 + 1.84591i 0.983963 + 0.331536i 0.764882 0.644171i \(-0.222797\pi\)
0.219081 + 0.975707i \(0.429694\pi\)
\(32\) 0.483977 + 0.569782i 0.0855558 + 0.100724i
\(33\) 2.97781 + 1.37768i 0.518371 + 0.239824i
\(34\) 0.391697 0.181218i 0.0671755 0.0310787i
\(35\) 5.86440 6.90411i 0.991265 1.16701i
\(36\) 1.71037 1.02910i 0.285062 0.171516i
\(37\) −0.515008 0.0560105i −0.0846668 0.00920807i 0.0656875 0.997840i \(-0.479076\pi\)
−0.150354 + 0.988632i \(0.548041\pi\)
\(38\) 0.0489723 0.298718i 0.00794435 0.0484584i
\(39\) −2.24789 2.12932i −0.359951 0.340964i
\(40\) −0.584528 + 0.196950i −0.0924219 + 0.0311406i
\(41\) −4.21757 2.53763i −0.658674 0.396311i 0.146615 0.989194i \(-0.453162\pi\)
−0.805289 + 0.592883i \(0.797990\pi\)
\(42\) −0.182274 0.138561i −0.0281255 0.0213805i
\(43\) 3.09969 7.77963i 0.472698 1.18638i −0.478579 0.878045i \(-0.658848\pi\)
0.951277 0.308338i \(-0.0997728\pi\)
\(44\) 3.67540 5.42081i 0.554087 0.817217i
\(45\) 0.399797 + 2.43865i 0.0595982 + 0.363533i
\(46\) 0.00497293 + 0.0917203i 0.000733219 + 0.0135234i
\(47\) 0.114449 + 0.0251921i 0.0166941 + 0.00367465i 0.223310 0.974748i \(-0.428314\pi\)
−0.206616 + 0.978422i \(0.566245\pi\)
\(48\) −1.47189 3.69418i −0.212450 0.533208i
\(49\) 1.72208 6.20238i 0.246012 0.886054i
\(50\) 0.00374294 0.0690346i 0.000529332 0.00976296i
\(51\) −6.86916 + 0.747067i −0.961875 + 0.104610i
\(52\) −4.92025 + 3.74028i −0.682316 + 0.518683i
\(53\) 1.48873 + 5.36191i 0.204492 + 0.736515i 0.992648 + 0.121038i \(0.0386224\pi\)
−0.788156 + 0.615476i \(0.788964\pi\)
\(54\) 0.0610009 0.0134273i 0.00830117 0.00182723i
\(55\) 4.55021 + 6.71106i 0.613550 + 0.904919i
\(56\) −0.664250 + 0.629211i −0.0887642 + 0.0840819i
\(57\) −2.27004 + 4.28176i −0.300675 + 0.567132i
\(58\) 0.0895455 0.0117579
\(59\) −2.54681 7.24664i −0.331567 0.943432i
\(60\) 4.93277 0.636818
\(61\) −0.707743 + 1.33494i −0.0906172 + 0.170922i −0.924678 0.380751i \(-0.875666\pi\)
0.834060 + 0.551673i \(0.186010\pi\)
\(62\) 0.262153 0.248324i 0.0332934 0.0315372i
\(63\) 2.05712 + 3.03402i 0.259172 + 0.382251i
\(64\) −7.72167 + 1.69967i −0.965209 + 0.212458i
\(65\) −2.04701 7.37267i −0.253901 0.914468i
\(66\) 0.163151 0.124024i 0.0200825 0.0152663i
\(67\) 10.3119 1.12148i 1.25980 0.137011i 0.546252 0.837621i \(-0.316054\pi\)
0.713545 + 0.700610i \(0.247089\pi\)
\(68\) −0.746704 + 13.7722i −0.0905512 + 1.67012i
\(69\) 0.393425 1.41699i 0.0473629 0.170586i
\(70\) −0.209428 0.525624i −0.0250314 0.0628241i
\(71\) −12.6642 2.78759i −1.50296 0.330826i −0.614182 0.789165i \(-0.710514\pi\)
−0.888778 + 0.458338i \(0.848445\pi\)
\(72\) −0.0135131 0.249235i −0.00159254 0.0293726i
\(73\) 2.54705 + 15.5363i 0.298109 + 1.81839i 0.532715 + 0.846295i \(0.321172\pi\)
−0.234606 + 0.972091i \(0.575380\pi\)
\(74\) −0.0181587 + 0.0267821i −0.00211091 + 0.00311336i
\(75\) −0.409692 + 1.02825i −0.0473071 + 0.118732i
\(76\) 7.70114 + 5.85426i 0.883382 + 0.671529i
\(77\) 10.3056 + 6.20069i 1.17444 + 0.706634i
\(78\) −0.183274 + 0.0617523i −0.0207517 + 0.00699207i
\(79\) −2.29503 2.17397i −0.258212 0.244591i 0.547632 0.836719i \(-0.315529\pi\)
−0.805844 + 0.592128i \(0.798288\pi\)
\(80\) 1.58983 9.69756i 0.177749 1.08422i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) −0.263435 + 0.158503i −0.0290915 + 0.0175038i
\(83\) −5.54894 + 6.53272i −0.609076 + 0.717059i −0.977106 0.212755i \(-0.931756\pi\)
0.368030 + 0.929814i \(0.380032\pi\)
\(84\) 6.64073 3.07233i 0.724563 0.335219i
\(85\) −15.4970 7.16970i −1.68089 0.777663i
\(86\) −0.338632 0.398669i −0.0365156 0.0429895i
\(87\) −1.35857 0.457756i −0.145654 0.0490766i
\(88\) −0.383607 0.723559i −0.0408926 0.0771316i
\(89\) 6.92334 + 13.0588i 0.733873 + 1.38423i 0.916090 + 0.400973i \(0.131328\pi\)
−0.182217 + 0.983258i \(0.558327\pi\)
\(90\) 0.146275 + 0.0492856i 0.0154187 + 0.00519516i
\(91\) −7.34779 8.65048i −0.770257 0.906817i
\(92\) −2.66414 1.23256i −0.277756 0.128504i
\(93\) −5.24678 + 2.42742i −0.544066 + 0.251712i
\(94\) 0.00473871 0.00557884i 0.000488761 0.000575414i
\(95\) −10.2619 + 6.17437i −1.05285 + 0.633477i
\(96\) −0.743204 0.0808283i −0.0758529 0.00824950i
\(97\) 2.63573 16.0773i 0.267618 1.63240i −0.420848 0.907131i \(-0.638268\pi\)
0.688467 0.725268i \(-0.258284\pi\)
\(98\) −0.291896 0.276499i −0.0294860 0.0279306i
\(99\) −3.10931 + 1.04765i −0.312497 + 0.105293i
\(100\) 1.89315 + 1.13907i 0.189315 + 0.113907i
\(101\) 15.3861 + 11.6962i 1.53098 + 1.16382i 0.931675 + 0.363293i \(0.118348\pi\)
0.599301 + 0.800524i \(0.295445\pi\)
\(102\) −0.159747 + 0.400934i −0.0158173 + 0.0396983i
\(103\) −5.07556 + 7.48589i −0.500110 + 0.737606i −0.991036 0.133595i \(-0.957348\pi\)
0.490926 + 0.871201i \(0.336658\pi\)
\(104\) 0.125031 + 0.762657i 0.0122603 + 0.0747846i
\(105\) 0.490422 + 9.04530i 0.0478603 + 0.882731i
\(106\) 0.339454 + 0.0747195i 0.0329707 + 0.00725740i
\(107\) 3.88547 + 9.75180i 0.375623 + 0.942742i 0.988316 + 0.152421i \(0.0487069\pi\)
−0.612693 + 0.790321i \(0.709914\pi\)
\(108\) −0.534013 + 1.92334i −0.0513854 + 0.185074i
\(109\) 1.01826 18.7807i 0.0975319 1.79887i −0.384923 0.922949i \(-0.625772\pi\)
0.482455 0.875921i \(-0.339745\pi\)
\(110\) 0.503478 0.0547566i 0.0480048 0.00522083i
\(111\) 0.412412 0.313508i 0.0391444 0.0297568i
\(112\) −3.89972 14.0455i −0.368489 1.32718i
\(113\) 7.34611 1.61700i 0.691064 0.152115i 0.144466 0.989510i \(-0.453854\pi\)
0.546598 + 0.837395i \(0.315923\pi\)
\(114\) 0.169874 + 0.250546i 0.0159102 + 0.0234658i
\(115\) 2.63837 2.49920i 0.246029 0.233051i
\(116\) −1.34042 + 2.52829i −0.124455 + 0.234746i
\(117\) 3.09629 0.286252
\(118\) −0.474420 0.0714709i −0.0436739 0.00657943i
\(119\) −25.3284 −2.32185
\(120\) 0.288922 0.544964i 0.0263748 0.0497482i
\(121\) 0.170332 0.161347i 0.0154848 0.0146679i
\(122\) 0.0529625 + 0.0781139i 0.00479500 + 0.00707210i
\(123\) 4.80706 1.05811i 0.433438 0.0954070i
\(124\) 3.08718 + 11.1190i 0.277237 + 0.998517i
\(125\) 7.65901 5.82223i 0.685043 0.520756i
\(126\) 0.227619 0.0247550i 0.0202779 0.00220536i
\(127\) 0.359057 6.62241i 0.0318611 0.587644i −0.938395 0.345564i \(-0.887688\pi\)
0.970256 0.242080i \(-0.0778297\pi\)
\(128\) −0.532120 + 1.91652i −0.0470332 + 0.169398i
\(129\) 3.09969 + 7.77963i 0.272912 + 0.684958i
\(130\) −0.466753 0.102740i −0.0409369 0.00901090i
\(131\) −0.236219 4.35680i −0.0206385 0.380655i −0.990546 0.137181i \(-0.956196\pi\)
0.969907 0.243474i \(-0.0782871\pi\)
\(132\) 1.05956 + 6.46305i 0.0922231 + 0.562536i
\(133\) −9.96939 + 14.7037i −0.864455 + 1.27498i
\(134\) 0.239809 0.601875i 0.0207163 0.0519941i
\(135\) −1.96731 1.49551i −0.169319 0.128713i
\(136\) 1.47779 + 0.889156i 0.126719 + 0.0762445i
\(137\) −14.9731 + 5.04502i −1.27924 + 0.431025i −0.875219 0.483726i \(-0.839283\pi\)
−0.404017 + 0.914751i \(0.632387\pi\)
\(138\) −0.0666864 0.0631687i −0.00567672 0.00537727i
\(139\) 0.915362 5.58346i 0.0776400 0.473583i −0.919176 0.393847i \(-0.871144\pi\)
0.996816 0.0797361i \(-0.0254078\pi\)
\(140\) 17.9758 + 1.95499i 1.51924 + 0.165227i
\(141\) −0.100414 + 0.0604172i −0.00845640 + 0.00508804i
\(142\) −0.524354 + 0.617317i −0.0440028 + 0.0518041i
\(143\) 9.22017 4.26571i 0.771030 0.356716i
\(144\) 3.60907 + 1.66973i 0.300756 + 0.139144i
\(145\) −2.29354 2.70016i −0.190468 0.224236i
\(146\) 0.931894 + 0.313992i 0.0771241 + 0.0259861i
\(147\) 3.01515 + 5.68717i 0.248685 + 0.469070i
\(148\) −0.484367 0.913612i −0.0398147 0.0750985i
\(149\) 4.25655 + 1.43420i 0.348710 + 0.117494i 0.488206 0.872729i \(-0.337652\pi\)
−0.139496 + 0.990223i \(0.544548\pi\)
\(150\) 0.0447577 + 0.0526928i 0.00365445 + 0.00430235i
\(151\) −2.41615 1.11783i −0.196624 0.0909678i 0.319107 0.947719i \(-0.396617\pi\)
−0.515730 + 0.856751i \(0.672479\pi\)
\(152\) 1.09784 0.507915i 0.0890465 0.0411973i
\(153\) 4.47322 5.26629i 0.361639 0.425754i
\(154\) 0.643702 0.387303i 0.0518710 0.0312097i
\(155\) −14.2025 1.54462i −1.14078 0.124067i
\(156\) 0.999894 6.09908i 0.0800556 0.488317i
\(157\) −4.99408 4.73064i −0.398571 0.377546i 0.461998 0.886881i \(-0.347133\pi\)
−0.860568 + 0.509335i \(0.829892\pi\)
\(158\) −0.187118 + 0.0630473i −0.0148863 + 0.00501578i
\(159\) −4.76819 2.86892i −0.378142 0.227520i
\(160\) −1.47073 1.11802i −0.116272 0.0883875i
\(161\) 1.99530 5.00782i 0.157252 0.394672i
\(162\) −0.0350524 + 0.0516985i −0.00275398 + 0.00406181i
\(163\) −2.28171 13.9178i −0.178717 1.09013i −0.911996 0.410198i \(-0.865459\pi\)
0.733279 0.679928i \(-0.237989\pi\)
\(164\) −0.531919 9.81067i −0.0415359 0.766084i
\(165\) −7.91862 1.74302i −0.616464 0.135694i
\(166\) 0.198162 + 0.497350i 0.0153804 + 0.0386018i
\(167\) 5.35090 19.2722i 0.414065 1.49133i −0.403226 0.915101i \(-0.632111\pi\)
0.817290 0.576226i \(-0.195475\pi\)
\(168\) 0.0495345 0.913609i 0.00382167 0.0704865i
\(169\) 3.39298 0.369009i 0.260998 0.0283853i
\(170\) −0.849064 + 0.645442i −0.0651203 + 0.0495031i
\(171\) −1.29652 4.66964i −0.0991474 0.357097i
\(172\) 16.3253 3.59348i 1.24480 0.274000i
\(173\) −2.61840 3.86185i −0.199073 0.293611i 0.715029 0.699095i \(-0.246413\pi\)
−0.914102 + 0.405484i \(0.867103\pi\)
\(174\) −0.0650096 + 0.0615804i −0.00492837 + 0.00466840i
\(175\) −1.90051 + 3.58474i −0.143665 + 0.270981i
\(176\) 13.0475 0.983492
\(177\) 6.83248 + 3.50958i 0.513561 + 0.263796i
\(178\) 0.923212 0.0691977
\(179\) 11.5055 21.7017i 0.859962 1.62206i 0.0795189 0.996833i \(-0.474662\pi\)
0.780443 0.625227i \(-0.214994\pi\)
\(180\) −3.58117 + 3.39226i −0.266925 + 0.252844i
\(181\) 14.0248 + 20.6850i 1.04245 + 1.53751i 0.827965 + 0.560780i \(0.189499\pi\)
0.214490 + 0.976726i \(0.431191\pi\)
\(182\) −0.692356 + 0.152399i −0.0513208 + 0.0112966i
\(183\) −0.404222 1.45588i −0.0298810 0.107622i
\(184\) −0.292215 + 0.222136i −0.0215424 + 0.0163761i
\(185\) 1.27269 0.138414i 0.0935702 0.0101764i
\(186\) −0.0195492 + 0.360565i −0.00143342 + 0.0264379i
\(187\) 6.06515 21.8447i 0.443528 1.59744i
\(188\) 0.0865829 + 0.217307i 0.00631471 + 0.0158487i
\(189\) −3.57995 0.788007i −0.260403 0.0573191i
\(190\) 0.0404985 + 0.746950i 0.00293807 + 0.0541894i
\(191\) 2.55619 + 15.5921i 0.184960 + 1.12820i 0.902181 + 0.431358i \(0.141965\pi\)
−0.717221 + 0.696846i \(0.754586\pi\)
\(192\) 4.43704 6.54414i 0.320215 0.472283i
\(193\) −4.83572 + 12.1367i −0.348083 + 0.873622i 0.645833 + 0.763479i \(0.276510\pi\)
−0.993916 + 0.110143i \(0.964869\pi\)
\(194\) −0.810113 0.615832i −0.0581627 0.0442142i
\(195\) 6.55631 + 3.94480i 0.469507 + 0.282493i
\(196\) 12.1763 4.10267i 0.869736 0.293048i
\(197\) −4.92590 4.66606i −0.350956 0.332443i 0.491831 0.870691i \(-0.336328\pi\)
−0.842787 + 0.538248i \(0.819086\pi\)
\(198\) −0.0331555 + 0.202239i −0.00235626 + 0.0143725i
\(199\) 10.4309 + 1.13442i 0.739424 + 0.0804172i 0.470076 0.882626i \(-0.344226\pi\)
0.269348 + 0.963043i \(0.413192\pi\)
\(200\) 0.236727 0.142434i 0.0167392 0.0100716i
\(201\) −6.71513 + 7.90567i −0.473649 + 0.557623i
\(202\) 1.09562 0.506886i 0.0770872 0.0356644i
\(203\) −4.76944 2.20658i −0.334749 0.154871i
\(204\) −8.92900 10.5120i −0.625155 0.735989i
\(205\) 11.5269 + 3.88386i 0.805073 + 0.271261i
\(206\) 0.264613 + 0.499113i 0.0184365 + 0.0347749i
\(207\) 0.688838 + 1.29929i 0.0478776 + 0.0903067i
\(208\) −11.6682 3.93147i −0.809044 0.272599i
\(209\) −10.2941 12.1191i −0.712057 0.838298i
\(210\) 0.513515 + 0.237578i 0.0354359 + 0.0163944i
\(211\) −7.97318 + 3.68879i −0.548897 + 0.253947i −0.674679 0.738111i \(-0.735718\pi\)
0.125782 + 0.992058i \(0.459856\pi\)
\(212\) −7.19102 + 8.46592i −0.493881 + 0.581442i
\(213\) 11.1111 6.68536i 0.761323 0.458073i
\(214\) 0.651834 + 0.0708912i 0.0445584 + 0.00484602i
\(215\) −3.34806 + 20.4223i −0.228336 + 1.39279i
\(216\) 0.181209 + 0.171651i 0.0123297 + 0.0116793i
\(217\) −20.0822 + 6.76647i −1.36327 + 0.459338i
\(218\) −1.00663 0.605668i −0.0681775 0.0410210i
\(219\) −12.5334 9.52767i −0.846932 0.643821i
\(220\) −5.99059 + 15.0352i −0.403886 + 1.01368i
\(221\) −12.0062 + 17.7079i −0.807626 + 1.19116i
\(222\) −0.00523490 0.0319315i −0.000351343 0.00214310i
\(223\) 0.992198 + 18.3000i 0.0664425 + 1.22546i 0.821657 + 0.569982i \(0.193050\pi\)
−0.755215 + 0.655478i \(0.772467\pi\)
\(224\) −2.67632 0.589103i −0.178819 0.0393611i
\(225\) −0.409692 1.02825i −0.0273128 0.0685499i
\(226\) 0.125693 0.452706i 0.00836099 0.0301136i
\(227\) −1.20971 + 22.3118i −0.0802912 + 1.48088i 0.629790 + 0.776765i \(0.283141\pi\)
−0.710082 + 0.704119i \(0.751342\pi\)
\(228\) −9.61697 + 1.04591i −0.636899 + 0.0692670i
\(229\) 15.4269 11.7272i 1.01944 0.774957i 0.0448582 0.998993i \(-0.485716\pi\)
0.974581 + 0.224036i \(0.0719233\pi\)
\(230\) −0.0607270 0.218719i −0.00400422 0.0144219i
\(231\) −11.7461 + 2.58550i −0.772833 + 0.170113i
\(232\) 0.200811 + 0.296174i 0.0131839 + 0.0194448i
\(233\) −8.78285 + 8.31956i −0.575384 + 0.545032i −0.919091 0.394044i \(-0.871076\pi\)
0.343708 + 0.939077i \(0.388317\pi\)
\(234\) 0.0905893 0.170870i 0.00592201 0.0111701i
\(235\) −0.289598 −0.0188913
\(236\) 9.11962 12.3253i 0.593637 0.802308i
\(237\) 3.16122 0.205344
\(238\) −0.741043 + 1.39776i −0.0480347 + 0.0906031i
\(239\) 8.50322 8.05468i 0.550028 0.521014i −0.361435 0.932397i \(-0.617713\pi\)
0.911462 + 0.411384i \(0.134954\pi\)
\(240\) 5.51479 + 8.13371i 0.355978 + 0.525029i
\(241\) 0.462276 0.101755i 0.0297778 0.00655459i −0.200057 0.979784i \(-0.564113\pi\)
0.229834 + 0.973230i \(0.426182\pi\)
\(242\) −0.00392052 0.0141204i −0.000252020 0.000907695i
\(243\) 0.796093 0.605174i 0.0510694 0.0388219i
\(244\) −2.99833 + 0.326088i −0.191948 + 0.0208756i
\(245\) −0.861197 + 15.8838i −0.0550199 + 1.01478i
\(246\) 0.0822497 0.296237i 0.00524405 0.0188874i
\(247\) 5.55412 + 13.9398i 0.353400 + 0.886967i
\(248\) 1.40923 + 0.310196i 0.0894863 + 0.0196974i
\(249\) −0.464041 8.55873i −0.0294074 0.542388i
\(250\) −0.0972186 0.593007i −0.00614865 0.0375051i
\(251\) −0.286227 + 0.422154i −0.0180665 + 0.0266461i −0.836615 0.547791i \(-0.815469\pi\)
0.818549 + 0.574437i \(0.194779\pi\)
\(252\) −2.70830 + 6.79733i −0.170607 + 0.428191i
\(253\) 3.84124 + 2.92003i 0.241497 + 0.183581i
\(254\) −0.354954 0.213569i −0.0222718 0.0134005i
\(255\) 16.1814 5.45214i 1.01332 0.341426i
\(256\) −11.3900 10.7892i −0.711875 0.674324i
\(257\) 1.61964 9.87938i 0.101031 0.616259i −0.886972 0.461823i \(-0.847196\pi\)
0.988003 0.154436i \(-0.0493561\pi\)
\(258\) 0.520010 + 0.0565544i 0.0323744 + 0.00352093i
\(259\) 1.62715 0.979023i 0.101106 0.0608335i
\(260\) 9.88772 11.6407i 0.613210 0.721927i
\(261\) 1.30112 0.601960i 0.0805370 0.0372604i
\(262\) −0.247342 0.114433i −0.0152809 0.00706968i
\(263\) −5.90404 6.95077i −0.364058 0.428603i 0.549384 0.835570i \(-0.314862\pi\)
−0.913443 + 0.406967i \(0.866586\pi\)
\(264\) 0.776088 + 0.261494i 0.0477649 + 0.0160939i
\(265\) −6.44138 12.1497i −0.395691 0.746352i
\(266\) 0.519752 + 0.980356i 0.0318680 + 0.0601095i
\(267\) −14.0069 4.71946i −0.857206 0.288826i
\(268\) 13.4041 + 15.7805i 0.818784 + 0.963947i
\(269\) 4.44799 + 2.05786i 0.271199 + 0.125470i 0.550776 0.834653i \(-0.314332\pi\)
−0.279577 + 0.960123i \(0.590194\pi\)
\(270\) −0.140088 + 0.0648118i −0.00852551 + 0.00394432i
\(271\) −8.20160 + 9.65567i −0.498212 + 0.586540i −0.952586 0.304271i \(-0.901587\pi\)
0.454374 + 0.890811i \(0.349863\pi\)
\(272\) −23.5439 + 14.1659i −1.42756 + 0.858933i
\(273\) 11.2834 + 1.22714i 0.682902 + 0.0742701i
\(274\) −0.159662 + 0.973897i −0.00964555 + 0.0588353i
\(275\) −2.63659 2.49751i −0.158992 0.150605i
\(276\) 2.78179 0.937294i 0.167444 0.0564184i
\(277\) −14.2379 8.56668i −0.855474 0.514722i 0.0189854 0.999820i \(-0.493956\pi\)
−0.874460 + 0.485098i \(0.838784\pi\)
\(278\) −0.281344 0.213872i −0.0168739 0.0128272i
\(279\) 2.13980 5.37050i 0.128107 0.321524i
\(280\) 1.26886 1.87143i 0.0758290 0.111839i
\(281\) −1.41723 8.64472i −0.0845448 0.515701i −0.994816 0.101689i \(-0.967575\pi\)
0.910271 0.414012i \(-0.135873\pi\)
\(282\) 0.000396284 0.00730903i 2.35984e−5 0.000435246i
\(283\) −9.49428 2.08985i −0.564377 0.124229i −0.0763871 0.997078i \(-0.524338\pi\)
−0.487989 + 0.872850i \(0.662270\pi\)
\(284\) −9.58068 24.0457i −0.568509 1.42685i
\(285\) 3.20397 11.5397i 0.189787 0.683550i
\(286\) 0.0343539 0.633621i 0.00203139 0.0374668i
\(287\) 17.9371 1.95078i 1.05879 0.115151i
\(288\) 0.595148 0.452420i 0.0350694 0.0266591i
\(289\) 8.22476 + 29.6229i 0.483810 + 1.74252i
\(290\) −0.216112 + 0.0475698i −0.0126905 + 0.00279340i
\(291\) 9.14280 + 13.4846i 0.535960 + 0.790482i
\(292\) −22.8151 + 21.6116i −1.33515 + 1.26472i
\(293\) 14.6638 27.6588i 0.856667 1.61584i 0.0707654 0.997493i \(-0.477456\pi\)
0.785901 0.618352i \(-0.212199\pi\)
\(294\) 0.402063 0.0234488
\(295\) 9.99624 + 16.1363i 0.582003 + 0.939492i
\(296\) −0.129305 −0.00751568
\(297\) 1.53688 2.89886i 0.0891787 0.168209i
\(298\) 0.203682 0.192938i 0.0117990 0.0111766i
\(299\) −2.55530 3.76879i −0.147777 0.217955i
\(300\) −2.15775 + 0.474957i −0.124578 + 0.0274217i
\(301\) 8.21250 + 29.5787i 0.473361 + 1.70489i
\(302\) −0.132378 + 0.100631i −0.00761749 + 0.00579067i
\(303\) −19.2137 + 2.08962i −1.10380 + 0.120045i
\(304\) −1.04335 + 19.2435i −0.0598404 + 1.10369i
\(305\) 0.998917 3.59778i 0.0571978 0.206008i
\(306\) −0.159747 0.400934i −0.00913210 0.0229198i
\(307\) −13.9028 3.06023i −0.793472 0.174656i −0.200303 0.979734i \(-0.564193\pi\)
−0.593170 + 0.805078i \(0.702124\pi\)
\(308\) 1.29974 + 23.9723i 0.0740597 + 1.36595i
\(309\) −1.46321 8.92518i −0.0832390 0.507736i
\(310\) −0.500769 + 0.738579i −0.0284418 + 0.0419485i
\(311\) −7.13025 + 17.8956i −0.404319 + 1.01477i 0.576018 + 0.817437i \(0.304606\pi\)
−0.980337 + 0.197328i \(0.936774\pi\)
\(312\) −0.615251 0.467701i −0.0348317 0.0264784i
\(313\) −9.86387 5.93489i −0.557539 0.335460i 0.208737 0.977972i \(-0.433065\pi\)
−0.766276 + 0.642512i \(0.777892\pi\)
\(314\) −0.407175 + 0.137193i −0.0229782 + 0.00774227i
\(315\) −6.57649 6.22958i −0.370543 0.350997i
\(316\) 1.02086 6.22699i 0.0574280 0.350295i
\(317\) −1.82757 0.198760i −0.102647 0.0111635i 0.0566515 0.998394i \(-0.481958\pi\)
−0.159298 + 0.987231i \(0.550923\pi\)
\(318\) −0.297827 + 0.179196i −0.0167013 + 0.0100488i
\(319\) 3.04517 3.58505i 0.170497 0.200724i
\(320\) 17.7328 8.20406i 0.991293 0.458621i
\(321\) −9.52714 4.40773i −0.531753 0.246015i
\(322\) −0.217981 0.256627i −0.0121476 0.0143012i
\(323\) 31.7334 + 10.6922i 1.76569 + 0.594931i
\(324\) −0.934989 1.76358i −0.0519439 0.0979765i
\(325\) 1.60531 + 3.02794i 0.0890468 + 0.167960i
\(326\) −0.834813 0.281281i −0.0462360 0.0155787i
\(327\) 12.1763 + 14.3350i 0.673349 + 0.792727i
\(328\) −1.11502 0.515864i −0.0615668 0.0284838i
\(329\) −0.389871 + 0.180373i −0.0214943 + 0.00994430i
\(330\) −0.327867 + 0.385995i −0.0180485 + 0.0212483i
\(331\) 18.8667 11.3517i 1.03701 0.623948i 0.108056 0.994145i \(-0.465537\pi\)
0.928953 + 0.370197i \(0.120710\pi\)
\(332\) −17.0089 1.84983i −0.933483 0.101522i
\(333\) −0.0838104 + 0.511221i −0.00459278 + 0.0280147i
\(334\) −0.906987 0.859144i −0.0496281 0.0470103i
\(335\) −24.2912 + 8.18467i −1.32717 + 0.447176i
\(336\) 12.4903 + 7.51516i 0.681401 + 0.409985i
\(337\) 1.34847 + 1.02508i 0.0734556 + 0.0558395i 0.641258 0.767326i \(-0.278413\pi\)
−0.567802 + 0.823165i \(0.692206\pi\)
\(338\) 0.0789058 0.198039i 0.00429191 0.0107719i
\(339\) −4.22123 + 6.22586i −0.229266 + 0.338142i
\(340\) −5.51415 33.6348i −0.299047 1.82410i
\(341\) −1.02691 18.9403i −0.0556105 1.02568i
\(342\) −0.295628 0.0650727i −0.0159857 0.00351873i
\(343\) −0.763865 1.91716i −0.0412449 0.103517i
\(344\) 0.559205 2.01407i 0.0301503 0.108592i
\(345\) −0.196748 + 3.62881i −0.0105926 + 0.195369i
\(346\) −0.289725 + 0.0315095i −0.0155757 + 0.00169396i
\(347\) 5.39411 4.10050i 0.289571 0.220126i −0.450296 0.892879i \(-0.648682\pi\)
0.739867 + 0.672753i \(0.234888\pi\)
\(348\) −0.765570 2.75733i −0.0410389 0.147809i
\(349\) −3.82758 + 0.842514i −0.204886 + 0.0450987i −0.316227 0.948683i \(-0.602416\pi\)
0.111342 + 0.993782i \(0.464485\pi\)
\(350\) 0.142221 + 0.209760i 0.00760202 + 0.0112121i
\(351\) −2.24789 + 2.12932i −0.119984 + 0.113655i
\(352\) 1.14895 2.16715i 0.0612392 0.115509i
\(353\) 6.09766 0.324546 0.162273 0.986746i \(-0.448118\pi\)
0.162273 + 0.986746i \(0.448118\pi\)
\(354\) 0.393578 0.274371i 0.0209184 0.0145827i
\(355\) 32.0449 1.70077
\(356\) −13.8197 + 26.0667i −0.732441 + 1.38153i
\(357\) 18.3883 17.4184i 0.973214 0.921877i
\(358\) −0.860992 1.26987i −0.0455048 0.0671146i
\(359\) 34.0820 7.50201i 1.79878 0.395941i 0.815603 0.578612i \(-0.196405\pi\)
0.983174 + 0.182671i \(0.0584743\pi\)
\(360\) 0.165016 + 0.594333i 0.00869709 + 0.0313241i
\(361\) 3.57170 2.71513i 0.187984 0.142902i
\(362\) 1.55184 0.168772i 0.0815627 0.00887048i
\(363\) −0.0127020 + 0.234275i −0.000666683 + 0.0122962i
\(364\) 6.06101 21.8298i 0.317683 1.14419i
\(365\) −14.4006 36.1427i −0.753760 1.89179i
\(366\) −0.0921694 0.0202880i −0.00481777 0.00106047i
\(367\) 1.09924 + 20.2743i 0.0573798 + 1.05831i 0.875487 + 0.483242i \(0.160541\pi\)
−0.818107 + 0.575066i \(0.804977\pi\)
\(368\) −0.946097 5.77093i −0.0493187 0.300831i
\(369\) −2.76224 + 4.07400i −0.143797 + 0.212084i
\(370\) 0.0295972 0.0742834i 0.00153869 0.00386181i
\(371\) −16.2390 12.3446i −0.843089 0.640899i
\(372\) −9.88782 5.94930i −0.512660 0.308457i
\(373\) 29.2435 9.85328i 1.51417 0.510184i 0.565040 0.825064i \(-0.308861\pi\)
0.949131 + 0.314880i \(0.101964\pi\)
\(374\) −1.02805 0.973825i −0.0531594 0.0503553i
\(375\) −1.55646 + 9.49401i −0.0803754 + 0.490269i
\(376\) 0.0290790 + 0.00316253i 0.00149964 + 0.000163095i
\(377\) −3.80350 + 2.28849i −0.195890 + 0.117863i
\(378\) −0.148226 + 0.174505i −0.00762394 + 0.00897559i
\(379\) 5.52428 2.55580i 0.283763 0.131283i −0.272845 0.962058i \(-0.587965\pi\)
0.556608 + 0.830775i \(0.312103\pi\)
\(380\) −21.6962 10.0377i −1.11299 0.514924i
\(381\) 4.29356 + 5.05477i 0.219966 + 0.258964i
\(382\) 0.935240 + 0.315119i 0.0478511 + 0.0161229i
\(383\) −7.74501 14.6086i −0.395751 0.746466i 0.602930 0.797794i \(-0.294000\pi\)
−0.998682 + 0.0513273i \(0.983655\pi\)
\(384\) −0.931675 1.75733i −0.0475443 0.0896781i
\(385\) −28.1660 9.49022i −1.43547 0.483666i
\(386\) 0.528289 + 0.621950i 0.0268892 + 0.0316564i
\(387\) −7.60041 3.51632i −0.386351 0.178745i
\(388\) 29.5145 13.6549i 1.49837 0.693222i
\(389\) −5.53928 + 6.52134i −0.280853 + 0.330645i −0.884442 0.466650i \(-0.845461\pi\)
0.603589 + 0.797295i \(0.293737\pi\)
\(390\) 0.409515 0.246397i 0.0207366 0.0124768i
\(391\) −10.1017 1.09863i −0.510867 0.0555602i
\(392\) 0.259933 1.58552i 0.0131286 0.0800808i
\(393\) 3.16766 + 3.00057i 0.159787 + 0.151359i
\(394\) −0.401616 + 0.135320i −0.0202331 + 0.00681734i
\(395\) 6.69380 + 4.02753i 0.336802 + 0.202647i
\(396\) −5.21387 3.96348i −0.262007 0.199173i
\(397\) 4.54533 11.4079i 0.228124 0.572547i −0.769706 0.638399i \(-0.779597\pi\)
0.997829 + 0.0658516i \(0.0209764\pi\)
\(398\) 0.367783 0.542439i 0.0184353 0.0271900i
\(399\) −2.87403 17.5308i −0.143881 0.877637i
\(400\) 0.238295 + 4.39510i 0.0119148 + 0.219755i
\(401\) 20.3590 + 4.48135i 1.01668 + 0.223788i 0.691893 0.722000i \(-0.256777\pi\)
0.324786 + 0.945788i \(0.394708\pi\)
\(402\) 0.239809 + 0.601875i 0.0119606 + 0.0300188i
\(403\) −4.78874 + 17.2475i −0.238544 + 0.859159i
\(404\) −2.08861 + 38.5221i −0.103912 + 1.91654i
\(405\) 2.45672 0.267184i 0.122075 0.0132765i
\(406\) −0.261312 + 0.198644i −0.0129687 + 0.00985853i
\(407\) 0.454728 + 1.63778i 0.0225400 + 0.0811819i
\(408\) −1.68434 + 0.370751i −0.0833872 + 0.0183549i
\(409\) −14.2681 21.0439i −0.705513 1.04055i −0.996481 0.0838213i \(-0.973287\pi\)
0.290967 0.956733i \(-0.406023\pi\)
\(410\) 0.551579 0.522483i 0.0272405 0.0258036i
\(411\) 7.40093 13.9596i 0.365061 0.688578i
\(412\) −18.0534 −0.889425
\(413\) 23.5077 + 15.4974i 1.15674 + 0.762577i
\(414\) 0.0918551 0.00451443
\(415\) 9.92157 18.7141i 0.487031 0.918638i
\(416\) −1.68049 + 1.59185i −0.0823930 + 0.0780468i
\(417\) 3.17520 + 4.68306i 0.155490 + 0.229331i
\(418\) −0.969975 + 0.213508i −0.0474430 + 0.0104430i
\(419\) −6.37184 22.9493i −0.311285 1.12115i −0.939343 0.342980i \(-0.888564\pi\)
0.628058 0.778167i \(-0.283850\pi\)
\(420\) −14.3948 + 10.9427i −0.702395 + 0.533947i
\(421\) −10.8702 + 1.18220i −0.529781 + 0.0576171i −0.369101 0.929389i \(-0.620334\pi\)
−0.160680 + 0.987007i \(0.551369\pi\)
\(422\) −0.0297077 + 0.547926i −0.00144615 + 0.0266726i
\(423\) 0.0313513 0.112917i 0.00152435 0.00549023i
\(424\) 0.514109 + 1.29032i 0.0249674 + 0.0626633i
\(425\) 7.46924 + 1.64410i 0.362312 + 0.0797508i
\(426\) −0.0438501 0.808767i −0.00212454 0.0391849i
\(427\) −0.896050 5.46566i −0.0433629 0.264502i
\(428\) −11.7590 + 17.3432i −0.568392 + 0.838315i
\(429\) −3.76028 + 9.43759i −0.181548 + 0.455651i
\(430\) 1.02905 + 0.782265i 0.0496253 + 0.0377242i
\(431\) 18.1094 + 10.8960i 0.872297 + 0.524844i 0.879917 0.475127i \(-0.157598\pi\)
−0.00762029 + 0.999971i \(0.502426\pi\)
\(432\) −3.76844 + 1.26974i −0.181309 + 0.0610902i
\(433\) 0.0864767 + 0.0819151i 0.00415581 + 0.00393659i 0.689775 0.724024i \(-0.257710\pi\)
−0.685619 + 0.727961i \(0.740468\pi\)
\(434\) −0.214142 + 1.30621i −0.0102791 + 0.0627000i
\(435\) 3.52200 + 0.383040i 0.168867 + 0.0183654i
\(436\) 32.1692 19.3556i 1.54063 0.926964i
\(437\) −4.61387 + 5.43187i −0.220711 + 0.259842i
\(438\) −0.892482 + 0.412906i −0.0426445 + 0.0197294i
\(439\) 3.11553 + 1.44140i 0.148696 + 0.0687942i 0.492826 0.870128i \(-0.335964\pi\)
−0.344130 + 0.938922i \(0.611826\pi\)
\(440\) 1.31019 + 1.54247i 0.0624608 + 0.0735345i
\(441\) −6.10005 2.05535i −0.290479 0.0978737i
\(442\) 0.625942 + 1.18065i 0.0297730 + 0.0561579i
\(443\) −1.13048 2.13231i −0.0537108 0.101309i 0.855203 0.518293i \(-0.173432\pi\)
−0.908914 + 0.416983i \(0.863087\pi\)
\(444\) 0.979939 + 0.330180i 0.0465058 + 0.0156696i
\(445\) −23.6463 27.8386i −1.12094 1.31968i
\(446\) 1.03892 + 0.480655i 0.0491943 + 0.0227597i
\(447\) −4.07653 + 1.88600i −0.192813 + 0.0892049i
\(448\) 18.7629 22.0894i 0.886464 1.04363i
\(449\) 1.48202 0.891703i 0.0699409 0.0420820i −0.480154 0.877184i \(-0.659419\pi\)
0.550095 + 0.835102i \(0.314592\pi\)
\(450\) −0.0687307 0.00747491i −0.00324000 0.000352371i
\(451\) −2.61276 + 15.9371i −0.123030 + 0.750449i
\(452\) 10.9005 + 10.3255i 0.512718 + 0.485672i
\(453\) 2.52285 0.850046i 0.118534 0.0399386i
\(454\) 1.19589 + 0.719542i 0.0561258 + 0.0337698i
\(455\) 22.3288 + 16.9739i 1.04679 + 0.795750i
\(456\) −0.447734 + 1.12373i −0.0209671 + 0.0526233i
\(457\) −1.93095 + 2.84794i −0.0903261 + 0.133221i −0.870167 0.492756i \(-0.835989\pi\)
0.779841 + 0.625977i \(0.215300\pi\)
\(458\) −0.195819 1.19445i −0.00915004 0.0558128i
\(459\) 0.374082 + 6.89954i 0.0174606 + 0.322043i
\(460\) 7.08451 + 1.55942i 0.330317 + 0.0727082i
\(461\) −0.231245 0.580381i −0.0107701 0.0270310i 0.923493 0.383614i \(-0.125321\pi\)
−0.934263 + 0.356583i \(0.883942\pi\)
\(462\) −0.200977 + 0.723853i −0.00935029 + 0.0336767i
\(463\) −1.83136 + 33.7774i −0.0851103 + 1.56977i 0.574719 + 0.818351i \(0.305112\pi\)
−0.659829 + 0.751416i \(0.729371\pi\)
\(464\) −5.66751 + 0.616379i −0.263108 + 0.0286147i
\(465\) 11.3732 8.64569i 0.527420 0.400934i
\(466\) 0.202154 + 0.728092i 0.00936459 + 0.0337282i
\(467\) 34.3483 7.56064i 1.58945 0.349865i 0.669782 0.742558i \(-0.266388\pi\)
0.919669 + 0.392694i \(0.128457\pi\)
\(468\) 3.46842 + 5.11553i 0.160328 + 0.236466i
\(469\) −27.6043 + 26.1482i −1.27465 + 1.20741i
\(470\) −0.00847287 + 0.0159815i −0.000390824 + 0.000737173i
\(471\) 6.87894 0.316965
\(472\) −0.827524 1.72944i −0.0380899 0.0796037i
\(473\) −27.4770 −1.26339
\(474\) 0.0924891 0.174453i 0.00424816 0.00801289i
\(475\) 3.89437 3.68894i 0.178686 0.169260i
\(476\) −28.3725 41.8464i −1.30045 1.91802i
\(477\) 5.43464 1.19625i 0.248835 0.0547728i
\(478\) −0.195718 0.704911i −0.00895191 0.0322419i
\(479\) −2.97088 + 2.25840i −0.135743 + 0.103189i −0.670842 0.741600i \(-0.734067\pi\)
0.535099 + 0.844789i \(0.320274\pi\)
\(480\) 1.83661 0.199743i 0.0838294 0.00911699i
\(481\) 0.0868398 1.60167i 0.00395955 0.0730297i
\(482\) 0.00790962 0.0284879i 0.000360273 0.00129759i
\(483\) 1.99530 + 5.00782i 0.0907892 + 0.227864i
\(484\) 0.457374 + 0.100676i 0.0207897 + 0.00457616i
\(485\) 2.17967 + 40.2016i 0.0989735 + 1.82546i
\(486\) −0.0101051 0.0616384i −0.000458377 0.00279597i
\(487\) 4.01005 5.91438i 0.181713 0.268006i −0.725913 0.687786i \(-0.758583\pi\)
0.907626 + 0.419780i \(0.137893\pi\)
\(488\) −0.139592 + 0.350350i −0.00631904 + 0.0158596i
\(489\) 11.2278 + 8.53513i 0.507737 + 0.385972i
\(490\) 0.851358 + 0.512245i 0.0384604 + 0.0231409i
\(491\) −38.5262 + 12.9810i −1.73866 + 0.585824i −0.996438 0.0843269i \(-0.973126\pi\)
−0.742225 + 0.670151i \(0.766229\pi\)
\(492\) 7.13296 + 6.75670i 0.321579 + 0.304616i
\(493\) −1.60258 + 9.77533i −0.0721767 + 0.440259i
\(494\) 0.931769 + 0.101336i 0.0419223 + 0.00455932i
\(495\) 6.94756 4.18021i 0.312270 0.187886i
\(496\) −14.8829 + 17.5215i −0.668260 + 0.786736i
\(497\) 43.1404 19.9589i 1.93511 0.895279i
\(498\) −0.485892 0.224798i −0.0217733 0.0100734i
\(499\) 16.2533 + 19.1349i 0.727599 + 0.856596i 0.994237 0.107201i \(-0.0341888\pi\)
−0.266638 + 0.963797i \(0.585913\pi\)
\(500\) 18.1987 + 6.13185i 0.813870 + 0.274225i
\(501\) 9.36875 + 17.6713i 0.418565 + 0.789497i
\(502\) 0.0149224 + 0.0281466i 0.000666019 + 0.00125625i
\(503\) −40.4782 13.6387i −1.80483 0.608120i −0.999891 0.0147690i \(-0.995299\pi\)
−0.804944 0.593351i \(-0.797805\pi\)
\(504\) 0.592327 + 0.697341i 0.0263843 + 0.0310620i
\(505\) −43.3468 20.0544i −1.92891 0.892407i
\(506\) 0.273527 0.126547i 0.0121598 0.00562571i
\(507\) −2.20952 + 2.60125i −0.0981283 + 0.115526i
\(508\) 11.3434 6.82511i 0.503283 0.302815i
\(509\) −19.4106 2.11103i −0.860358 0.0935696i −0.332707 0.943030i \(-0.607962\pi\)
−0.527652 + 0.849461i \(0.676927\pi\)
\(510\) 0.172547 1.05249i 0.00764050 0.0466050i
\(511\) −41.8978 39.6878i −1.85345 1.75568i
\(512\) −4.69845 + 1.58309i −0.207644 + 0.0699635i
\(513\) 4.15258 + 2.49852i 0.183341 + 0.110313i
\(514\) −0.497810 0.378425i −0.0219574 0.0166916i
\(515\) 8.27273 20.7630i 0.364540 0.914927i
\(516\) −9.38089 + 13.8358i −0.412971 + 0.609086i
\(517\) −0.0622059 0.379439i −0.00273581 0.0166877i
\(518\) −0.00642153 0.118438i −0.000282146 0.00520388i
\(519\) 4.55674 + 1.00301i 0.200019 + 0.0440275i
\(520\) −0.706905 1.77420i −0.0309998 0.0778037i
\(521\) −5.60257 + 20.1786i −0.245453 + 0.884042i 0.733455 + 0.679738i \(0.237907\pi\)
−0.978908 + 0.204303i \(0.934507\pi\)
\(522\) 0.00484789 0.0894141i 0.000212187 0.00391355i
\(523\) −4.20379 + 0.457189i −0.183819 + 0.0199915i −0.199565 0.979885i \(-0.563953\pi\)
0.0157466 + 0.999876i \(0.494987\pi\)
\(524\) 6.93347 5.27069i 0.302890 0.230251i
\(525\) −1.08546 3.90948i −0.0473734 0.170624i
\(526\) −0.556316 + 0.122454i −0.0242565 + 0.00533927i
\(527\) 22.4169 + 33.0624i 0.976494 + 1.44022i
\(528\) −9.47243 + 8.97276i −0.412234 + 0.390489i
\(529\) −9.76039 + 18.4101i −0.424365 + 0.800437i
\(530\) −0.858943 −0.0373101
\(531\) −7.37389 + 2.15075i −0.320000 + 0.0933348i
\(532\) −35.4603 −1.53740
\(533\) 7.13872 13.4651i 0.309212 0.583236i
\(534\) −0.670248 + 0.634893i −0.0290045 + 0.0274745i
\(535\) −14.5578 21.4712i −0.629390 0.928281i
\(536\) 2.52850 0.556566i 0.109215 0.0240400i
\(537\) 6.57129 + 23.6677i 0.283572 + 1.02133i
\(538\) 0.243700 0.185256i 0.0105067 0.00798695i
\(539\) −20.9964 + 2.28350i −0.904380 + 0.0983573i
\(540\) 0.267055 4.92554i 0.0114922 0.211961i
\(541\) 6.75433 24.3269i 0.290391 1.04590i −0.664097 0.747647i \(-0.731184\pi\)
0.954488 0.298249i \(-0.0964025\pi\)
\(542\) 0.292893 + 0.735107i 0.0125808 + 0.0315755i
\(543\) −24.4070 5.37239i −1.04741 0.230551i
\(544\) 0.279658 + 5.15800i 0.0119903 + 0.221147i
\(545\) 7.51951 + 45.8670i 0.322100 + 1.96473i
\(546\) 0.397842 0.586774i 0.0170261 0.0251116i
\(547\) 1.64181 4.12064i 0.0701988 0.176186i −0.889691 0.456563i \(-0.849080\pi\)
0.959890 + 0.280377i \(0.0904596\pi\)
\(548\) −25.1077 19.0864i −1.07255 0.815331i
\(549\) 1.29467 + 0.778977i 0.0552552 + 0.0332459i
\(550\) −0.214965 + 0.0724302i −0.00916614 + 0.00308843i
\(551\) 5.04402 + 4.77795i 0.214882 + 0.203547i
\(552\) 0.0593840 0.362226i 0.00252755 0.0154174i
\(553\) 11.5200 + 1.25288i 0.489881 + 0.0532778i
\(554\) −0.889319 + 0.535085i −0.0377835 + 0.0227336i
\(555\) −0.828782 + 0.975717i −0.0351798 + 0.0414169i
\(556\) 10.2501 4.74220i 0.434701 0.201114i
\(557\) −24.8021 11.4747i −1.05090 0.486198i −0.183091 0.983096i \(-0.558610\pi\)
−0.867809 + 0.496898i \(0.834472\pi\)
\(558\) −0.233767 0.275212i −0.00989617 0.0116507i
\(559\) 24.5723 + 8.27936i 1.03930 + 0.350180i
\(560\) 16.8732 + 31.8263i 0.713023 + 1.34490i
\(561\) 10.6193 + 20.0302i 0.448348 + 0.845674i
\(562\) −0.518525 0.174712i −0.0218727 0.00736976i
\(563\) 13.5160 + 15.9122i 0.569631 + 0.670621i 0.969255 0.246058i \(-0.0791353\pi\)
−0.399624 + 0.916679i \(0.630859\pi\)
\(564\) −0.212301 0.0982207i −0.00893947 0.00413584i
\(565\) −16.8703 + 7.80505i −0.709740 + 0.328361i
\(566\) −0.393106 + 0.462801i −0.0165235 + 0.0194530i
\(567\) 3.14094 1.88984i 0.131907 0.0793659i
\(568\) −3.21769 0.349945i −0.135011 0.0146833i
\(569\) 2.12557 12.9654i 0.0891085 0.543538i −0.904112 0.427295i \(-0.859467\pi\)
0.993221 0.116243i \(-0.0370851\pi\)
\(570\) −0.543079 0.514432i −0.0227471 0.0215472i
\(571\) −6.33799 + 2.13552i −0.265237 + 0.0893686i −0.448778 0.893643i \(-0.648141\pi\)
0.183541 + 0.983012i \(0.441244\pi\)
\(572\) 17.3759 + 10.4547i 0.726522 + 0.437134i
\(573\) −12.5785 9.56189i −0.525472 0.399454i
\(574\) 0.417138 1.04694i 0.0174110 0.0436983i
\(575\) −0.913469 + 1.34727i −0.0380943 + 0.0561849i
\(576\) 1.27913 + 7.80236i 0.0532972 + 0.325098i
\(577\) −0.0553409 1.02070i −0.00230387 0.0424924i 0.997155 0.0753729i \(-0.0240147\pi\)
−0.999459 + 0.0328804i \(0.989532\pi\)
\(578\) 1.87538 + 0.412803i 0.0780056 + 0.0171703i
\(579\) −4.83572 12.1367i −0.200966 0.504386i
\(580\) 1.89188 6.81394i 0.0785561 0.282934i
\(581\) 1.70101 31.3733i 0.0705699 1.30159i
\(582\) 1.01165 0.110023i 0.0419341 0.00456060i
\(583\) 14.5353 11.0494i 0.601990 0.457621i
\(584\) 1.05129 + 3.78641i 0.0435027 + 0.156683i
\(585\) −7.47268 + 1.64486i −0.308957 + 0.0680067i
\(586\) −1.09733 1.61845i −0.0453305 0.0668574i
\(587\) 10.8856 10.3114i 0.449296 0.425596i −0.429300 0.903162i \(-0.641240\pi\)
0.878596 + 0.477566i \(0.158481\pi\)
\(588\) −6.01854 + 11.3522i −0.248200 + 0.468155i
\(589\) 28.0169 1.15442
\(590\) 1.18295 0.0795392i 0.0487012 0.00327458i
\(591\) 6.78503 0.279099
\(592\) 0.964950 1.82009i 0.0396592 0.0748052i
\(593\) −14.9154 + 14.1286i −0.612503 + 0.580194i −0.929769 0.368143i \(-0.879994\pi\)
0.317266 + 0.948337i \(0.397235\pi\)
\(594\) −0.115009 0.169626i −0.00471889 0.00695984i
\(595\) 61.1285 13.4554i 2.50602 0.551617i
\(596\) 2.39861 + 8.63901i 0.0982509 + 0.353868i
\(597\) −8.35290 + 6.34971i −0.341861 + 0.259876i
\(598\) −0.282743 + 0.0307501i −0.0115622 + 0.00125747i
\(599\) −0.459370 + 8.47258i −0.0187693 + 0.346180i 0.974032 + 0.226409i \(0.0726987\pi\)
−0.992802 + 0.119771i \(0.961784\pi\)
\(600\) −0.0739111 + 0.266204i −0.00301741 + 0.0108677i
\(601\) −6.07664 15.2512i −0.247871 0.622110i 0.751417 0.659828i \(-0.229371\pi\)
−0.999288 + 0.0377173i \(0.987991\pi\)
\(602\) 1.87259 + 0.412187i 0.0763209 + 0.0167995i
\(603\) −0.561566 10.3575i −0.0228687 0.421789i
\(604\) −0.859713 5.24402i −0.0349812 0.213376i
\(605\) −0.325372 + 0.479887i −0.0132282 + 0.0195102i
\(606\) −0.446827 + 1.12145i −0.0181511 + 0.0455558i
\(607\) −9.08328 6.90493i −0.368679 0.280262i 0.404387 0.914588i \(-0.367485\pi\)
−0.773066 + 0.634325i \(0.781278\pi\)
\(608\) 3.10441 + 1.86786i 0.125900 + 0.0757518i
\(609\) 4.98005 1.67798i 0.201802 0.0679950i
\(610\) −0.169318 0.160387i −0.00685550 0.00649387i
\(611\) −0.0587027 + 0.358071i −0.00237486 + 0.0144860i
\(612\) 13.7115 + 1.49122i 0.554256 + 0.0602789i
\(613\) −35.4960 + 21.3573i −1.43367 + 0.862612i −0.999274 0.0381093i \(-0.987866\pi\)
−0.434398 + 0.900721i \(0.643039\pi\)
\(614\) −0.575637 + 0.677693i −0.0232308 + 0.0273495i
\(615\) −11.0394 + 5.10737i −0.445152 + 0.205949i
\(616\) 2.72455 + 1.26051i 0.109775 + 0.0507875i
\(617\) 26.3420 + 31.0122i 1.06049 + 1.24850i 0.967509 + 0.252837i \(0.0813636\pi\)
0.0929808 + 0.995668i \(0.470360\pi\)
\(618\) −0.535348 0.180380i −0.0215348 0.00725593i
\(619\) 16.8912 + 31.8602i 0.678915 + 1.28057i 0.948250 + 0.317523i \(0.102851\pi\)
−0.269335 + 0.963046i \(0.586804\pi\)
\(620\) −13.3575 25.1950i −0.536451 1.01185i
\(621\) −1.39361 0.469563i −0.0559237 0.0188429i
\(622\) 0.778959 + 0.917062i 0.0312334 + 0.0367708i
\(623\) −49.1728 22.7498i −1.97007 0.911450i
\(624\) 11.1747 5.16998i 0.447347 0.206965i
\(625\) −18.9744 + 22.3383i −0.758974 + 0.893533i
\(626\) −0.616109 + 0.370701i −0.0246247 + 0.0148162i
\(627\) 15.8078 + 1.71920i 0.631302 + 0.0686582i
\(628\) 2.22144 13.5502i 0.0886449 0.540710i
\(629\) −2.59872 2.46163i −0.103618 0.0981518i
\(630\) −0.536192 + 0.180664i −0.0213624 + 0.00719783i
\(631\) 1.87581 + 1.12864i 0.0746748 + 0.0449303i 0.552402 0.833578i \(-0.313712\pi\)
−0.477727 + 0.878508i \(0.658539\pi\)
\(632\) −0.628153 0.477510i −0.0249866 0.0189943i
\(633\) 3.25172 8.16120i 0.129244 0.324378i
\(634\) −0.0644386 + 0.0950398i −0.00255918 + 0.00377451i
\(635\) 2.65151 + 16.1735i 0.105222 + 0.641825i
\(636\) −0.601363 11.0915i −0.0238456 0.439806i
\(637\) 19.4649 + 4.28454i 0.771226 + 0.169760i
\(638\) −0.108748 0.272937i −0.00430538 0.0108057i
\(639\) −3.46913 + 12.4947i −0.137237 + 0.494281i
\(640\) 0.266108 4.90808i 0.0105189 0.194009i
\(641\) 8.58174 0.933320i 0.338958 0.0368639i 0.0629429 0.998017i \(-0.479951\pi\)
0.276015 + 0.961153i \(0.410986\pi\)
\(642\) −0.521980 + 0.396799i −0.0206009 + 0.0156604i
\(643\) −1.41893 5.11052i −0.0559570 0.201539i 0.930288 0.366831i \(-0.119557\pi\)
−0.986245 + 0.165292i \(0.947143\pi\)
\(644\) 10.5088 2.31315i 0.414103 0.0911511i
\(645\) −11.6137 17.1289i −0.457289 0.674451i
\(646\) 1.51849 1.43839i 0.0597441 0.0565926i
\(647\) 9.83902 18.5584i 0.386812 0.729605i −0.611276 0.791418i \(-0.709343\pi\)
0.998088 + 0.0618130i \(0.0196882\pi\)
\(648\) −0.249601 −0.00980526
\(649\) −18.9950 + 16.5634i −0.745619 + 0.650171i
\(650\) 0.214065 0.00839632
\(651\) 9.92627 18.7229i 0.389041 0.733810i
\(652\) 20.4383 19.3602i 0.800427 0.758205i
\(653\) −8.50934 12.5503i −0.332996 0.491133i 0.623923 0.781486i \(-0.285538\pi\)
−0.956920 + 0.290353i \(0.906227\pi\)
\(654\) 1.14733 0.252545i 0.0448640 0.00987531i
\(655\) 2.88459 + 10.3894i 0.112710 + 0.405946i
\(656\) 15.5823 11.8453i 0.608385 0.462482i
\(657\) 15.6514 1.70219i 0.610619 0.0664088i
\(658\) −0.00145264 + 0.0267923i −5.66298e−5 + 0.00104447i
\(659\) 1.77471 6.39193i 0.0691330 0.248994i −0.920907 0.389783i \(-0.872550\pi\)
0.990040 + 0.140789i \(0.0449638\pi\)
\(660\) −5.99059 15.0352i −0.233183 0.585246i
\(661\) −22.3533 4.92033i −0.869442 0.191379i −0.242222 0.970221i \(-0.577876\pi\)
−0.627220 + 0.778842i \(0.715807\pi\)
\(662\) −0.0744574 1.37329i −0.00289387 0.0533743i
\(663\) −3.46122 21.1125i −0.134423 0.819942i
\(664\) −1.20061 + 1.77076i −0.0465926 + 0.0687190i
\(665\) 16.2493 40.7826i 0.630119 1.58148i
\(666\) 0.0257598 + 0.0195821i 0.000998170 + 0.000758789i
\(667\) −1.80648 1.08693i −0.0699474 0.0420859i
\(668\) 37.8345 12.7479i 1.46386 0.493232i
\(669\) −13.3052 12.6034i −0.514410 0.487275i
\(670\) −0.259024 + 1.57998i −0.0100070 + 0.0610399i
\(671\) 4.92847 + 0.536003i 0.190261 + 0.0206922i
\(672\) 2.34812 1.41282i 0.0905808 0.0545007i
\(673\) 19.3072 22.7302i 0.744238 0.876185i −0.251552 0.967844i \(-0.580941\pi\)
0.995790 + 0.0916585i \(0.0292168\pi\)
\(674\) 0.0960217 0.0444244i 0.00369862 0.00171116i
\(675\) 1.00456 + 0.464759i 0.0386656 + 0.0178886i
\(676\) 4.41042 + 5.19235i 0.169632 + 0.199706i
\(677\) −7.74860 2.61081i −0.297803 0.100341i 0.166434 0.986053i \(-0.446775\pi\)
−0.464237 + 0.885711i \(0.653671\pi\)
\(678\) 0.220073 + 0.415102i 0.00845186 + 0.0159419i
\(679\) 27.9735 + 52.7637i 1.07353 + 2.02488i
\(680\) −4.03889 1.36086i −0.154884 0.0521867i
\(681\) −14.4656 17.0302i −0.554321 0.652597i
\(682\) −1.07527 0.497473i −0.0411743 0.0190492i
\(683\) −25.3538 + 11.7299i −0.970137 + 0.448833i −0.839954 0.542657i \(-0.817418\pi\)
−0.130183 + 0.991490i \(0.541556\pi\)
\(684\) 6.26260 7.37291i 0.239457 0.281910i
\(685\) 33.4564 20.1301i 1.27830 0.769130i
\(686\) −0.128147 0.0139369i −0.00489269 0.000532113i
\(687\) −3.13506 + 19.1230i −0.119610 + 0.729588i
\(688\) 24.1769 + 22.9016i 0.921736 + 0.873115i
\(689\) −16.3281 + 5.50158i −0.622052 + 0.209594i
\(690\) 0.194500 + 0.117027i 0.00740450 + 0.00445514i
\(691\) −22.4915 17.0976i −0.855618 0.650424i 0.0825563 0.996586i \(-0.473692\pi\)
−0.938175 + 0.346162i \(0.887485\pi\)
\(692\) 3.44726 8.65198i 0.131045 0.328899i
\(693\) 6.74953 9.95481i 0.256394 0.378152i
\(694\) −0.0684694 0.417645i −0.00259906 0.0158536i
\(695\) 0.756975 + 13.9616i 0.0287137 + 0.529593i
\(696\) −0.349467 0.0769234i −0.0132465 0.00291577i
\(697\) −12.5885 31.5948i −0.476825 1.19674i
\(698\) −0.0654905 + 0.235876i −0.00247885 + 0.00892802i
\(699\) 0.654954 12.0799i 0.0247727 0.456905i
\(700\) −8.05144 + 0.875647i −0.304316 + 0.0330963i
\(701\) −22.3278 + 16.9732i −0.843311 + 0.641068i −0.934972 0.354722i \(-0.884575\pi\)
0.0916612 + 0.995790i \(0.470782\pi\)
\(702\) 0.0517395 + 0.186349i 0.00195278 + 0.00703328i
\(703\) −2.45190 + 0.539704i −0.0924752 + 0.0203553i
\(704\) 14.5582 + 21.4717i 0.548683 + 0.809247i
\(705\) 0.210247 0.199156i 0.00791835 0.00750066i
\(706\) 0.178401 0.336501i 0.00671423 0.0126644i
\(707\) −70.8462 −2.66444
\(708\) 1.85529 + 15.2197i 0.0697261 + 0.571990i
\(709\) 11.6154 0.436225 0.218112 0.975924i \(-0.430010\pi\)
0.218112 + 0.975924i \(0.430010\pi\)
\(710\) 0.937551 1.76841i 0.0351856 0.0663672i
\(711\) −2.29503 + 2.17397i −0.0860705 + 0.0815303i
\(712\) 2.07036 + 3.05355i 0.0775899 + 0.114437i
\(713\) −8.30288 + 1.82760i −0.310945 + 0.0684442i
\(714\) −0.423242 1.52438i −0.0158394 0.0570485i
\(715\) −19.9862 + 15.1931i −0.747440 + 0.568189i
\(716\) 48.7427 5.30109i 1.82160 0.198111i
\(717\) −0.634102 + 11.6953i −0.0236810 + 0.436770i
\(718\) 0.583148 2.10031i 0.0217629 0.0783829i
\(719\) −3.72143 9.34008i −0.138786 0.348326i 0.843112 0.537738i \(-0.180721\pi\)
−0.981898 + 0.189412i \(0.939342\pi\)
\(720\) −9.59727 2.11252i −0.357669 0.0787289i
\(721\) −1.79489 33.1047i −0.0668451 1.23288i
\(722\) −0.0453369 0.276543i −0.00168726 0.0102919i
\(723\) −0.265634 + 0.391780i −0.00987903 + 0.0145705i
\(724\) −18.4644 + 46.3421i −0.686223 + 1.72229i
\(725\) 1.26325 + 0.960300i 0.0469161 + 0.0356647i
\(726\) 0.0125569 + 0.00755523i 0.000466030 + 0.000280401i
\(727\) 9.92772 3.34504i 0.368199 0.124061i −0.129119 0.991629i \(-0.541215\pi\)
0.497318 + 0.867568i \(0.334318\pi\)
\(728\) −2.05671 1.94822i −0.0762268 0.0722059i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) −2.41586 0.262741i −0.0894152 0.00972449i
\(731\) 49.5815 29.8322i 1.83384 1.10338i
\(732\) 1.95252 2.29869i 0.0721673 0.0849619i
\(733\) −23.2548 + 10.7588i −0.858937 + 0.397387i −0.799371 0.600838i \(-0.794834\pi\)
−0.0595663 + 0.998224i \(0.518972\pi\)
\(734\) 1.15100 + 0.532509i 0.0424842 + 0.0196553i
\(735\) −10.2981 12.1238i −0.379851 0.447195i
\(736\) −1.04185 0.351039i −0.0384029 0.0129395i
\(737\) −15.9416 30.0690i −0.587215 1.10760i
\(738\) 0.144009 + 0.271629i 0.00530104 + 0.00999882i
\(739\) −3.45973 1.16572i −0.127268 0.0428817i 0.254947 0.966955i \(-0.417942\pi\)
−0.382215 + 0.924073i \(0.624839\pi\)
\(740\) 1.65433 + 1.94763i 0.0608144 + 0.0715962i
\(741\) −13.6186 6.30066i −0.500293 0.231460i
\(742\) −1.15635 + 0.534985i −0.0424510 + 0.0196399i
\(743\) 7.21457 8.49364i 0.264677 0.311602i −0.613729 0.789516i \(-0.710331\pi\)
0.878406 + 0.477915i \(0.158607\pi\)
\(744\) −1.23642 + 0.743928i −0.0453293 + 0.0272737i
\(745\) −11.0348 1.20010i −0.404283 0.0439684i
\(746\) 0.311832 1.90209i 0.0114170 0.0696405i
\(747\) 6.22273 + 5.89448i 0.227678 + 0.215668i
\(748\) 42.8848 14.4496i 1.56802 0.528329i
\(749\) −32.9716 19.8383i −1.20475 0.724877i
\(750\) 0.478391 + 0.363663i 0.0174684 + 0.0132791i
\(751\) −4.43683 + 11.1356i −0.161902 + 0.406344i −0.987438 0.158005i \(-0.949494\pi\)
0.825536 + 0.564349i \(0.190873\pi\)
\(752\) −0.261521 + 0.385715i −0.00953669 + 0.0140656i
\(753\) −0.0825152 0.503320i −0.00300702 0.0183420i
\(754\) 0.0150105 + 0.276852i 0.000546650 + 0.0100824i
\(755\) 6.42505 + 1.41426i 0.233831 + 0.0514702i
\(756\) −2.70830 6.79733i −0.0985000 0.247216i
\(757\) 3.68937 13.2879i 0.134092 0.482957i −0.865754 0.500469i \(-0.833161\pi\)
0.999847 + 0.0175121i \(0.00557455\pi\)
\(758\) 0.0205832 0.379635i 0.000747615 0.0137890i
\(759\) −4.79683 + 0.521686i −0.174114 + 0.0189360i
\(760\) −2.37974 + 1.80903i −0.0863221 + 0.0656204i
\(761\) −13.5925 48.9559i −0.492729 1.77465i −0.621974 0.783038i \(-0.713669\pi\)
0.129244 0.991613i \(-0.458745\pi\)
\(762\) 0.404567 0.0890518i 0.0146559 0.00322601i
\(763\) 38.6909 + 57.0649i 1.40071 + 2.06589i
\(764\) −22.8970 + 21.6892i −0.828386 + 0.784689i
\(765\) −7.99818 + 15.0862i −0.289175 + 0.545441i
\(766\) −1.03278 −0.0373158
\(767\) 21.9779 9.08886i 0.793575 0.328180i
\(768\) 15.6888 0.566121
\(769\) 15.1813 28.6350i 0.547452 1.03260i −0.443230 0.896408i \(-0.646167\pi\)
0.990682 0.136196i \(-0.0434877\pi\)
\(770\) −1.34778 + 1.27669i −0.0485707 + 0.0460086i
\(771\) 5.61819 + 8.28621i 0.202334 + 0.298421i