Properties

Label 177.2.e.a.28.3
Level $177$
Weight $2$
Character 177.28
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 28.3
Character \(\chi\) \(=\) 177.28
Dual form 177.2.e.a.19.3

$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{10}{29}\right)\) \(1\)

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 0.893641 0.448783i \(-0.148142\pi\)
−0.872953 + 0.487805i \(0.837798\pi\)
\(3\) −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 −0.360490 0.932763i \(-0.617391\pi\)
−0.718829 + 0.695187i \(0.755322\pi\)
\(6\) 0.0167101 0.0601845i 0.00682189 0.0245702i
\(7\) −2.91820 2.21836i −1.10298 0.838461i −0.115046 0.993360i \(-0.536702\pi\)
−0.987930 + 0.154900i \(0.950495\pi\)
\(8\) 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 0.624288 + 0.781195i \(0.285389\pi\)
−0.990457 + 0.137822i \(0.955990\pi\)
\(12\) −1.94943 + 0.429102i −0.562752 + 0.123871i
\(13\) 0.167630 3.09175i 0.0464921 0.857497i −0.878554 0.477643i \(-0.841491\pi\)
0.925046 0.379854i \(-0.124026\pi\)
\(14\) 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 0.336763 0.941589i \(-0.390668\pi\)
0.997362 0.0725862i \(-0.0231253\pi\)
\(18\) −0.0535203 + 0.0322021i −0.0126149 + 0.00759011i
\(19\) 4.59260 + 1.54743i 1.05362 + 0.355004i 0.792225 0.610229i \(-0.208923\pi\)
0.261390 + 0.965233i \(0.415819\pi\)
\(20\) −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 0.378085 0.925771i \(-0.376583\pi\)
−0.640832 + 0.767682i \(0.721410\pi\)
\(24\) −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 −0.813301 0.581843i \(-0.802332\pi\)
0.937999 + 0.346638i \(0.112677\pi\)
\(30\) −0.0723010 + 0.136374i −0.0132003 + 0.0248984i
\(31\) 5.47847 1.84591i 0.983963 0.331536i 0.219081 0.975707i \(-0.429694\pi\)
0.764882 + 0.644171i \(0.222797\pi\)
\(32\) 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 −0.150354 0.988632i \(-0.548041\pi\)
0.0656875 + 0.997840i \(0.479076\pi\)
\(38\) 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 −0.805289 0.592883i \(-0.797990\pi\)
0.146615 + 0.989194i \(0.453162\pi\)
\(42\) −0.182274 + 0.138561i −0.0281255 + 0.0213805i
\(43\) 3.09969 + 7.77963i 0.472698 + 1.18638i 0.951277 + 0.308338i \(0.0997728\pi\)
−0.478579 + 0.878045i \(0.658848\pi\)
\(44\) 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 −0.206616 0.978422i \(-0.566245\pi\)
0.223310 + 0.974748i \(0.428314\pi\)
\(48\) −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 −0.788156 0.615476i \(-0.788964\pi\)
0.992648 0.121038i \(-0.0386224\pi\)
\(54\) 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 0.834060 0.551673i \(-0.186010\pi\)
−0.924678 + 0.380751i \(0.875666\pi\)
\(62\) 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 0.713545 0.700610i \(-0.247089\pi\)
0.546252 + 0.837621i \(0.316054\pi\)
\(68\) −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 −0.888778 0.458338i \(-0.848445\pi\)
−0.614182 + 0.789165i \(0.710514\pi\)
\(72\) −0.0135131 + 0.249235i −0.00159254 + 0.0293726i
\(73\) 2.54705 15.5363i 0.298109 1.81839i −0.234606 0.972091i \(-0.575380\pi\)
0.532715 0.846295i \(-0.321172\pi\)
\(74\) −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 −0.805844 0.592128i \(-0.798288\pi\)
0.547632 + 0.836719i \(0.315529\pi\)
\(80\) 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 0.368030 0.929814i \(-0.380032\pi\)
−0.977106 + 0.212755i \(0.931756\pi\)
\(84\) 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 −0.182217 0.983258i \(-0.558327\pi\)
0.916090 0.400973i \(-0.131328\pi\)
\(90\) 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 0.688467 + 0.725268i \(0.258284\pi\)
−0.420848 + 0.907131i \(0.638268\pi\)
\(98\) −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 0.599301 0.800524i \(-0.295445\pi\)
0.931675 0.363293i \(-0.118348\pi\)
\(102\) −0.159747 0.400934i −0.0158173 0.0396983i
\(103\) −5.07556 7.48589i −0.500110 0.737606i 0.490926 0.871201i \(-0.336658\pi\)
−0.991036 + 0.133595i \(0.957348\pi\)
\(104\) 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 −0.612693 0.790321i \(-0.709914\pi\)
0.988316 0.152421i \(-0.0487069\pi\)
\(108\) −0.534013 1.92334i −0.0513854 0.185074i
\(109\) 1.01826 + 18.7807i 0.0975319 + 1.79887i 0.482455 + 0.875921i \(0.339745\pi\)
−0.384923 + 0.922949i \(0.625772\pi\)
\(110\) 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 0.546598 0.837395i \(-0.315923\pi\)
0.144466 + 0.989510i \(0.453854\pi\)
\(114\) 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 0.970256 + 0.242080i \(0.0778297\pi\)
−0.938395 + 0.345564i \(0.887688\pi\)
\(128\) −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 0.969907 + 0.243474i \(0.0782871\pi\)
−0.990546 + 0.137181i \(0.956196\pi\)
\(132\) 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 −0.404017 0.914751i \(-0.632387\pi\)
−0.875219 + 0.483726i \(0.839283\pi\)
\(138\) −0.0666864 + 0.0631687i −0.00567672 + 0.00537727i
\(139\) 0.915362 + 5.58346i 0.0776400 + 0.473583i 0.996816 + 0.0797361i \(0.0254078\pi\)
−0.919176 + 0.393847i \(0.871144\pi\)
\(140\) 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 −0.139496 0.990223i \(-0.544548\pi\)
0.488206 + 0.872729i \(0.337652\pi\)
\(150\) 0.0447577 0.0526928i 0.00365445 0.00430235i
\(151\) −2.41615 + 1.11783i −0.196624 + 0.0909678i −0.515730 0.856751i \(-0.672479\pi\)
0.319107 + 0.947719i \(0.396617\pi\)
\(152\) 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 −0.860568 0.509335i \(-0.829892\pi\)
0.461998 + 0.886881i \(0.347133\pi\)
\(158\) −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 0.733279 + 0.679928i \(0.237989\pi\)
−0.911996 + 0.410198i \(0.865459\pi\)
\(164\) −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 0.817290 + 0.576226i \(0.195475\pi\)
−0.403226 + 0.915101i \(0.632111\pi\)
\(168\) 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 −0.914102 0.405484i \(-0.867103\pi\)
0.715029 + 0.699095i \(0.246413\pi\)
\(174\) −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 0.780443 + 0.625227i \(0.214994\pi\)
0.0795189 + 0.996833i \(0.474662\pi\)
\(180\) −3.58117 3.39226i −0.266925 0.252844i
\(181\) 14.0248 20.6850i 1.04245 1.53751i 0.214490 0.976726i \(-0.431191\pi\)
0.827965 0.560780i \(-0.189499\pi\)
\(182\) −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 −0.717221 0.696846i \(-0.754586\pi\)
0.902181 0.431358i \(-0.141965\pi\)
\(192\) 4.43704 + 6.54414i 0.320215 + 0.472283i
\(193\) −4.83572 12.1367i −0.348083 0.873622i −0.993916 0.110143i \(-0.964869\pi\)
0.645833 0.763479i \(-0.276510\pi\)
\(194\) −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 −0.842787 0.538248i \(-0.819086\pi\)
0.491831 + 0.870691i \(0.336328\pi\)
\(198\) −0.0331555 0.202239i −0.00235626 0.0143725i
\(199\) 10.4309 1.13442i 0.739424 0.0804172i 0.269348 0.963043i \(-0.413192\pi\)
0.470076 + 0.882626i \(0.344226\pi\)
\(200\) 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 0.125782 0.992058i \(-0.459856\pi\)
−0.674679 + 0.738111i \(0.735718\pi\)
\(212\) −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 −0.755215 0.655478i \(-0.772467\pi\)
0.821657 0.569982i \(-0.193050\pi\)
\(224\) −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 −0.710082 0.704119i \(-0.751342\pi\)
0.629790 0.776765i \(-0.283141\pi\)
\(228\) −9.61697 1.04591i −0.636899 0.0692670i
\(229\) 15.4269 + 11.7272i 1.01944 + 0.774957i 0.974581 0.224036i \(-0.0719233\pi\)
0.0448582 + 0.998993i \(0.485716\pi\)
\(230\) −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 0.343708 0.939077i \(-0.388317\pi\)
−0.919091 + 0.394044i \(0.871076\pi\)
\(234\) 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 0.911462 0.411384i \(-0.134954\pi\)
−0.361435 + 0.932397i \(0.617713\pi\)
\(240\) 5.51479 8.13371i 0.355978 0.525029i
\(241\) 0.462276 + 0.101755i 0.0297778 + 0.00655459i 0.229834 0.973230i \(-0.426182\pi\)
−0.200057 + 0.979784i \(0.564113\pi\)
\(242\) −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 0.818549 0.574437i \(-0.194779\pi\)
−0.836615 + 0.547791i \(0.815469\pi\)
\(252\) −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 0.988003 + 0.154436i \(0.0493561\pi\)
−0.886972 + 0.461823i \(0.847196\pi\)
\(258\) 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 −0.913443 0.406967i \(-0.866586\pi\)
0.549384 + 0.835570i \(0.314862\pi\)
\(264\) 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 −0.279577 0.960123i \(-0.590194\pi\)
0.550776 + 0.834653i \(0.314332\pi\)
\(270\) −0.140088 0.0648118i −0.00852551 0.00394432i
\(271\) −8.20160 9.65567i −0.498212 0.586540i 0.454374 0.890811i \(-0.349863\pi\)
−0.952586 + 0.304271i \(0.901587\pi\)
\(272\) −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 −0.874460 0.485098i \(-0.838784\pi\)
0.0189854 + 0.999820i \(0.493956\pi\)
\(278\) −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 0.910271 + 0.414012i \(0.135873\pi\)
−0.994816 + 0.101689i \(0.967575\pi\)
\(282\) 0.000396284 0.00730903i 2.35984e−5 0.000435246i
\(283\) −9.49428 + 2.08985i −0.564377 + 0.124229i −0.487989 0.872850i \(-0.662270\pi\)
−0.0763871 + 0.997078i \(0.524338\pi\)
\(284\) −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 0.785901 + 0.618352i \(0.212199\pi\)
0.0707654 + 0.997493i \(0.477456\pi\)
\(294\) 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 −0.593170 0.805078i \(-0.702124\pi\)
−0.200303 + 0.979734i \(0.564193\pi\)
\(308\) 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 −0.980337 0.197328i \(-0.936774\pi\)
0.576018 0.817437i \(-0.304606\pi\)
\(312\) −0.615251 + 0.467701i −0.0348317 + 0.0264784i
\(313\) −9.86387 + 5.93489i −0.557539 + 0.335460i −0.766276 0.642512i \(-0.777892\pi\)
0.208737 + 0.977972i \(0.433065\pi\)
\(314\) −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 −0.159298 0.987231i \(-0.550923\pi\)
0.0566515 + 0.998394i \(0.481958\pi\)
\(318\) −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 0.928953 0.370197i \(-0.120710\pi\)
0.108056 + 0.994145i \(0.465537\pi\)
\(332\) −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 −0.567802 0.823165i \(-0.692206\pi\)
0.641258 + 0.767326i \(0.278413\pi\)
\(338\) 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 0.739867 0.672753i \(-0.234888\pi\)
−0.450296 + 0.892879i \(0.648682\pi\)
\(348\) −0.765570 + 2.75733i −0.0410389 + 0.147809i
\(349\) −3.82758 0.842514i −0.204886 0.0450987i 0.111342 0.993782i \(-0.464485\pi\)
−0.316227 + 0.948683i \(0.602416\pi\)
\(350\) 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 0.983174 0.182671i \(-0.0584743\pi\)
0.815603 + 0.578612i \(0.196405\pi\)
\(360\) 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 −0.818107 0.575066i \(-0.804977\pi\)
0.875487 0.483242i \(-0.160541\pi\)
\(368\) −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 0.949131 0.314880i \(-0.101964\pi\)
0.565040 + 0.825064i \(0.308861\pi\)
\(374\) −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 0.556608 0.830775i \(-0.312103\pi\)
−0.272845 + 0.962058i \(0.587965\pi\)
\(380\) −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 −0.998682 0.0513273i \(-0.983655\pi\)
0.602930 + 0.797794i \(0.294000\pi\)
\(384\) −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 0.603589 0.797295i \(-0.293737\pi\)
−0.884442 + 0.466650i \(0.845461\pi\)
\(390\) 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 0.997829 0.0658516i \(-0.0209764\pi\)
−0.769706 + 0.638399i \(0.779597\pi\)
\(398\) 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 0.324786 0.945788i \(-0.394708\pi\)
0.691893 + 0.722000i \(0.256777\pi\)
\(402\) 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 0.290967 + 0.956733i \(0.406023\pi\)
−0.996481 + 0.0838213i \(0.973287\pi\)
\(410\) 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 0.628058 + 0.778167i \(0.283850\pi\)
−0.939343 + 0.342980i \(0.888564\pi\)
\(420\) −14.3948 10.9427i −0.702395 0.533947i
\(421\) −10.8702 1.18220i −0.529781 0.0576171i −0.160680 0.987007i \(-0.551369\pi\)
−0.369101 + 0.929389i \(0.620334\pi\)
\(422\) −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 −0.00762029 0.999971i \(-0.502426\pi\)
0.879917 + 0.475127i \(0.157598\pi\)
\(432\) −3.76844 1.26974i −0.181309 0.0610902i
\(433\) 0.0864767 0.0819151i 0.00415581 0.00393659i −0.685619 0.727961i \(-0.740468\pi\)
0.689775 + 0.724024i \(0.257710\pi\)
\(434\) −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 −0.344130 0.938922i \(-0.611826\pi\)
0.492826 + 0.870128i \(0.335964\pi\)
\(440\) 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 −0.908914 0.416983i \(-0.863087\pi\)
0.855203 + 0.518293i \(0.173432\pi\)
\(444\) 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 0.550095 0.835102i \(-0.314592\pi\)
−0.480154 + 0.877184i \(0.659419\pi\)
\(450\) −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 0.779841 0.625977i \(-0.215300\pi\)
−0.870167 + 0.492756i \(0.835989\pi\)
\(458\) −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 −0.934263 0.356583i \(-0.883942\pi\)
0.923493 + 0.383614i \(0.125321\pi\)
\(462\) −0.200977 0.723853i −0.00935029 0.0336767i
\(463\) −1.83136 33.7774i −0.0851103 1.56977i −0.659829 0.751416i \(-0.729371\pi\)
0.574719 0.818351i \(-0.305112\pi\)
\(464\) −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 0.919669 0.392694i \(-0.128457\pi\)
0.669782 + 0.742558i \(0.266388\pi\)
\(468\) 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 0.535099 0.844789i \(-0.320274\pi\)
−0.670842 + 0.741600i \(0.734067\pi\)
\(480\) 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 0.907626 0.419780i \(-0.137893\pi\)
−0.725913 + 0.687786i \(0.758583\pi\)
\(488\) −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 −0.742225 0.670151i \(-0.766229\pi\)
−0.996438 + 0.0843269i \(0.973126\pi\)
\(492\) 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 −0.266638 0.963797i \(-0.585913\pi\)
0.994237 + 0.107201i \(0.0341888\pi\)
\(500\) 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 −0.804944 + 0.593351i \(0.797805\pi\)
−0.999891 + 0.0147690i \(0.995299\pi\)
\(504\) 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 −0.527652 0.849461i \(-0.676927\pi\)
−0.332707 + 0.943030i \(0.607962\pi\)
\(510\) 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 −0.978908 0.204303i \(-0.934507\pi\)
0.733455 0.679738i \(-0.237907\pi\)
\(522\) 0.00484789 + 0.0894141i 0.000212187 + 0.00391355i
\(523\) −4.20379 0.457189i −0.183819 0.0199915i 0.0157466 0.999876i \(-0.494987\pi\)
−0.199565 + 0.979885i \(0.563953\pi\)
\(524\) 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 0.954488 + 0.298249i \(0.0964025\pi\)
−0.664097 + 0.747647i \(0.731184\pi\)
\(542\) 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 0.959890 0.280377i \(-0.0904596\pi\)
−0.889691 + 0.456563i \(0.849080\pi\)
\(548\) −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 −0.867809 0.496898i \(-0.834472\pi\)
−0.183091 + 0.983096i \(0.558610\pi\)
\(558\) −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 −0.399624 0.916679i \(-0.630859\pi\)
0.969255 + 0.246058i \(0.0791353\pi\)
\(564\) −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 0.993221 + 0.116243i \(0.0370851\pi\)
−0.904112 + 0.427295i \(0.859467\pi\)
\(570\) −0.543079 + 0.514432i −0.0227471 + 0.0215472i
\(571\) −6.33799 2.13552i −0.265237 0.0893686i 0.183541 0.983012i \(-0.441244\pi\)
−0.448778 + 0.893643i \(0.648141\pi\)
\(572\) 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 −0.999459 0.0328804i \(-0.989532\pi\)
0.997155 + 0.0753729i \(0.0240147\pi\)
\(578\) 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 0.878596 0.477566i \(-0.158481\pi\)
−0.429300 + 0.903162i \(0.641240\pi\)
\(588\) −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 0.317266 0.948337i \(-0.397235\pi\)
−0.929769 + 0.368143i \(0.879994\pi\)
\(594\) −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 −0.992802 0.119771i \(-0.961784\pi\)
0.974032 0.226409i \(-0.0726987\pi\)
\(600\) −0.0739111 0.266204i −0.00301741 0.0108677i
\(601\) −6.07664 + 15.2512i −0.247871 + 0.622110i −0.999288 0.0377173i \(-0.987991\pi\)
0.751417 + 0.659828i \(0.229371\pi\)
\(602\) 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 −0.773066 0.634325i \(-0.781278\pi\)
0.404387 + 0.914588i \(0.367485\pi\)
\(608\) 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 −0.434398 0.900721i \(-0.643039\pi\)
−0.999274 + 0.0381093i \(0.987866\pi\)
\(614\) −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 0.0929808 0.995668i \(-0.470360\pi\)
0.967509 0.252837i \(-0.0813636\pi\)
\(618\) −0.535348 + 0.180380i −0.0215348 + 0.00725593i
\(619\) 16.8912 31.8602i 0.678915 1.28057i −0.269335 0.963046i \(-0.586804\pi\)
0.948250 0.317523i \(-0.102851\pi\)
\(620\) −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 −0.477727 0.878508i \(-0.658539\pi\)
0.552402 + 0.833578i \(0.313712\pi\)
\(632\) −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 0.276015 0.961153i \(-0.410986\pi\)
0.0629429 + 0.998017i \(0.479951\pi\)
\(642\) −0.521980 0.396799i −0.0206009 0.0156604i
\(643\) −1.41893 + 5.11052i −0.0559570 + 0.201539i −0.986245 0.165292i \(-0.947143\pi\)
0.930288 + 0.366831i \(0.119557\pi\)
\(644\) 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 0.998088 0.0618130i \(-0.0196882\pi\)
−0.611276 + 0.791418i \(0.709343\pi\)
\(648\) −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 −0.956920 0.290353i \(-0.906227\pi\)
0.623923 + 0.781486i \(0.285538\pi\)
\(654\) 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 0.990040 0.140789i \(-0.0449638\pi\)
−0.920907 + 0.389783i \(0.872550\pi\)
\(660\) −5.99059 + 15.0352i −0.233183 + 0.585246i
\(661\) −22.3533 + 4.92033i −0.869442 + 0.191379i −0.627220 0.778842i \(-0.715807\pi\)
−0.242222 + 0.970221i \(0.577876\pi\)
\(662\) −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 0.995790 0.0916585i \(-0.0292168\pi\)
−0.251552 + 0.967844i \(0.580941\pi\)
\(674\) 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 −0.464237 0.885711i \(-0.653671\pi\)
0.166434 + 0.986053i \(0.446775\pi\)
\(678\) 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 −0.130183 0.991490i \(-0.541556\pi\)
−0.839954 + 0.542657i \(0.817418\pi\)
\(684\) 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 −0.938175 0.346162i \(-0.887485\pi\)
0.0825563 + 0.996586i \(0.473692\pi\)
\(692\) 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 0.0916612 0.995790i \(-0.470782\pi\)
−0.934972 + 0.354722i \(0.884575\pi\)
\(702\) 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 −0.981898 0.189412i \(-0.939342\pi\)
0.843112 + 0.537738i \(0.180721\pi\)
\(720\) −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 0.497318 0.867568i \(-0.334318\pi\)
−0.129119 + 0.991629i \(0.541215\pi\)
\(728\) −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 −0.0595663 0.998224i \(-0.518972\pi\)
−0.799371 + 0.600838i \(0.794834\pi\)
\(734\) 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 −0.382215 0.924073i \(-0.624839\pi\)
0.254947 + 0.966955i \(0.417942\pi\)
\(740\) 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 0.878406 0.477915i \(-0.158607\pi\)
−0.613729 + 0.789516i \(0.710331\pi\)
\(744\) −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 0.825536 0.564349i \(-0.190873\pi\)
−0.987438 + 0.158005i \(0.949494\pi\)
\(752\) −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 0.999847 0.0175121i \(-0.00557455\pi\)
−0.865754 + 0.500469i \(0.833161\pi\)
\(758\) 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 0.129244 + 0.991613i \(0.458745\pi\)
−0.621974 + 0.783038i \(0.713669\pi\)
\(762\) 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 0.990682 + 0.136196i \(0.0434877\pi\)
−0.443230 + 0.896408i \(0.646167\pi\)
\(770\) −1.34778 1.27669i −0.0485707 0.0460086i
\(771\) 5.61819 8.28621i 0.202334 0.298421i