Properties

Label 403.2.bs.a.4.17
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.17
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0525799 + 0.247369i) q^{2} +(0.690263 + 0.766614i) q^{3} +(1.76866 + 0.787460i) q^{4} +3.00880i q^{5} +(-0.225931 + 0.130441i) q^{6} +(-0.278018 + 0.624439i) q^{7} +(-0.585086 + 0.805302i) q^{8} +(0.202350 - 1.92523i) q^{9} +O(q^{10})\) \(q+(-0.0525799 + 0.247369i) q^{2} +(0.690263 + 0.766614i) q^{3} +(1.76866 + 0.787460i) q^{4} +3.00880i q^{5} +(-0.225931 + 0.130441i) q^{6} +(-0.278018 + 0.624439i) q^{7} +(-0.585086 + 0.805302i) q^{8} +(0.202350 - 1.92523i) q^{9} +(-0.744285 - 0.158203i) q^{10} +(-0.385366 + 0.0405036i) q^{11} +(0.617165 + 1.89944i) q^{12} +(-0.696679 + 3.53760i) q^{13} +(-0.139849 - 0.101606i) q^{14} +(-2.30659 + 2.07686i) q^{15} +(2.42249 + 2.69045i) q^{16} +(0.685186 - 6.51911i) q^{17} +(0.465604 + 0.151284i) q^{18} +(-4.45601 - 4.01221i) q^{19} +(-2.36931 + 5.32156i) q^{20} +(-0.670609 + 0.217894i) q^{21} +(0.0102432 - 0.0974573i) q^{22} +(2.54744 - 1.13419i) q^{23} +(-1.02122 + 0.107334i) q^{24} -4.05289 q^{25} +(-0.838463 - 0.358344i) q^{26} +(4.11929 - 2.99284i) q^{27} +(-0.983441 + 0.885494i) q^{28} +(-7.49118 - 1.59230i) q^{29} +(-0.392472 - 0.679781i) q^{30} +(4.78673 + 2.84381i) q^{31} +(-2.51700 + 1.45319i) q^{32} +(-0.297054 - 0.267469i) q^{33} +(1.57660 + 0.512268i) q^{34} +(-1.87881 - 0.836501i) q^{35} +(1.87394 - 3.24575i) q^{36} +(9.45331 + 5.45787i) q^{37} +(1.22679 - 0.891317i) q^{38} +(-3.19287 + 1.90779i) q^{39} +(-2.42299 - 1.76041i) q^{40} +(-0.546642 + 2.57175i) q^{41} +(-0.0186397 - 0.177345i) q^{42} +(2.40896 - 2.67543i) q^{43} +(-0.713477 - 0.231823i) q^{44} +(5.79265 + 0.608832i) q^{45} +(0.146620 + 0.689794i) q^{46} +(6.78350 + 2.20409i) q^{47} +(-0.390381 + 3.71423i) q^{48} +(4.37128 + 4.85480i) q^{49} +(0.213101 - 1.00256i) q^{50} +(5.47060 - 3.97463i) q^{51} +(-4.01791 + 5.70823i) q^{52} +(-6.94373 - 5.04492i) q^{53} +(0.523744 + 1.17635i) q^{54} +(-0.121867 - 1.15949i) q^{55} +(-0.340197 - 0.589239i) q^{56} -6.18552i q^{57} +(0.787772 - 1.76936i) q^{58} +(-0.854831 - 4.02166i) q^{59} +(-5.71503 + 1.85693i) q^{60} +(4.29684 + 7.44235i) q^{61} +(-0.955157 + 1.03456i) q^{62} +(1.14593 + 0.661605i) q^{63} +(2.01037 + 6.18728i) q^{64} +(-10.6439 - 2.09617i) q^{65} +(0.0817826 - 0.0594186i) q^{66} +(-2.54983 - 1.47215i) q^{67} +(6.34540 - 10.9906i) q^{68} +(2.62789 + 1.17001i) q^{69} +(0.305712 - 0.420777i) q^{70} +(-12.7867 - 1.34394i) q^{71} +(1.43200 + 1.28938i) q^{72} +(-6.80702 - 9.36905i) q^{73} +(-1.84716 + 2.05148i) q^{74} +(-2.79756 - 3.10700i) q^{75} +(-4.72173 - 10.6052i) q^{76} +(0.0818466 - 0.251898i) q^{77} +(-0.304048 - 0.890129i) q^{78} +(6.68904 + 4.85987i) q^{79} +(-8.09502 + 7.28879i) q^{80} +(-0.542865 - 0.115390i) q^{81} +(-0.607429 - 0.270445i) q^{82} +(12.5297 - 4.07114i) q^{83} +(-1.35767 - 0.142696i) q^{84} +(19.6147 + 2.06159i) q^{85} +(0.535155 + 0.736577i) q^{86} +(-3.95021 - 6.84196i) q^{87} +(0.192855 - 0.334034i) q^{88} +(0.304553 - 0.0320098i) q^{89} +(-0.455183 + 1.40091i) q^{90} +(-2.01533 - 1.41855i) q^{91} +5.39870 q^{92} +(1.12399 + 5.63255i) q^{93} +(-0.901901 + 1.56214i) q^{94} +(12.0719 - 13.4072i) q^{95} +(-2.85143 - 0.926487i) q^{96} +(7.05944 - 15.8558i) q^{97} +(-1.43077 + 0.826056i) q^{98} +0.750115i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0525799 + 0.247369i −0.0371796 + 0.174916i −0.992820 0.119621i \(-0.961832\pi\)
0.955640 + 0.294537i \(0.0951655\pi\)
\(3\) 0.690263 + 0.766614i 0.398523 + 0.442605i 0.908691 0.417470i \(-0.137083\pi\)
−0.510167 + 0.860075i \(0.670416\pi\)
\(4\) 1.76866 + 0.787460i 0.884332 + 0.393730i
\(5\) 3.00880i 1.34558i 0.739835 + 0.672789i \(0.234904\pi\)
−0.739835 + 0.672789i \(0.765096\pi\)
\(6\) −0.225931 + 0.130441i −0.0922358 + 0.0532524i
\(7\) −0.278018 + 0.624439i −0.105081 + 0.236016i −0.958432 0.285321i \(-0.907900\pi\)
0.853351 + 0.521337i \(0.174566\pi\)
\(8\) −0.585086 + 0.805302i −0.206859 + 0.284717i
\(9\) 0.202350 1.92523i 0.0674501 0.641745i
\(10\) −0.744285 0.158203i −0.235364 0.0500281i
\(11\) −0.385366 + 0.0405036i −0.116192 + 0.0122123i −0.162446 0.986717i \(-0.551938\pi\)
0.0462539 + 0.998930i \(0.485272\pi\)
\(12\) 0.617165 + 1.89944i 0.178160 + 0.548320i
\(13\) −0.696679 + 3.53760i −0.193224 + 0.981155i
\(14\) −0.139849 0.101606i −0.0373761 0.0271554i
\(15\) −2.30659 + 2.07686i −0.595559 + 0.536244i
\(16\) 2.42249 + 2.69045i 0.605622 + 0.672612i
\(17\) 0.685186 6.51911i 0.166182 1.58112i −0.520309 0.853978i \(-0.674183\pi\)
0.686491 0.727138i \(-0.259150\pi\)
\(18\) 0.465604 + 0.151284i 0.109744 + 0.0356580i
\(19\) −4.45601 4.01221i −1.02228 0.920463i −0.0254203 0.999677i \(-0.508092\pi\)
−0.996858 + 0.0792137i \(0.974759\pi\)
\(20\) −2.36931 + 5.32156i −0.529794 + 1.18994i
\(21\) −0.670609 + 0.217894i −0.146339 + 0.0475484i
\(22\) 0.0102432 0.0974573i 0.00218385 0.0207780i
\(23\) 2.54744 1.13419i 0.531178 0.236496i −0.123579 0.992335i \(-0.539437\pi\)
0.654758 + 0.755839i \(0.272771\pi\)
\(24\) −1.02122 + 0.107334i −0.208455 + 0.0219096i
\(25\) −4.05289 −0.810578
\(26\) −0.838463 0.358344i −0.164436 0.0702770i
\(27\) 4.11929 2.99284i 0.792757 0.575972i
\(28\) −0.983441 + 0.885494i −0.185853 + 0.167343i
\(29\) −7.49118 1.59230i −1.39108 0.295683i −0.549354 0.835590i \(-0.685126\pi\)
−0.841725 + 0.539907i \(0.818459\pi\)
\(30\) −0.392472 0.679781i −0.0716552 0.124110i
\(31\) 4.78673 + 2.84381i 0.859721 + 0.510764i
\(32\) −2.51700 + 1.45319i −0.444948 + 0.256891i
\(33\) −0.297054 0.267469i −0.0517105 0.0465603i
\(34\) 1.57660 + 0.512268i 0.270385 + 0.0878533i
\(35\) −1.87881 0.836501i −0.317577 0.141394i
\(36\) 1.87394 3.24575i 0.312323 0.540958i
\(37\) 9.45331 + 5.45787i 1.55411 + 0.897268i 0.997800 + 0.0662962i \(0.0211182\pi\)
0.556314 + 0.830972i \(0.312215\pi\)
\(38\) 1.22679 0.891317i 0.199012 0.144591i
\(39\) −3.19287 + 1.90779i −0.511268 + 0.305491i
\(40\) −2.42299 1.76041i −0.383109 0.278345i
\(41\) −0.546642 + 2.57175i −0.0853711 + 0.401640i −0.999996 0.00266294i \(-0.999152\pi\)
0.914625 + 0.404302i \(0.132486\pi\)
\(42\) −0.0186397 0.177345i −0.00287617 0.0273649i
\(43\) 2.40896 2.67543i 0.367364 0.407999i −0.530915 0.847425i \(-0.678152\pi\)
0.898279 + 0.439426i \(0.144818\pi\)
\(44\) −0.713477 0.231823i −0.107561 0.0349486i
\(45\) 5.79265 + 0.608832i 0.863517 + 0.0907593i
\(46\) 0.146620 + 0.689794i 0.0216180 + 0.101705i
\(47\) 6.78350 + 2.20409i 0.989475 + 0.321500i 0.758652 0.651496i \(-0.225858\pi\)
0.230823 + 0.972996i \(0.425858\pi\)
\(48\) −0.390381 + 3.71423i −0.0563467 + 0.536103i
\(49\) 4.37128 + 4.85480i 0.624469 + 0.693543i
\(50\) 0.213101 1.00256i 0.0301370 0.141783i
\(51\) 5.47060 3.97463i 0.766038 0.556559i
\(52\) −4.01791 + 5.70823i −0.557184 + 0.791588i
\(53\) −6.94373 5.04492i −0.953795 0.692973i −0.00209350 0.999998i \(-0.500666\pi\)
−0.951701 + 0.307025i \(0.900666\pi\)
\(54\) 0.523744 + 1.17635i 0.0712725 + 0.160081i
\(55\) −0.121867 1.15949i −0.0164326 0.156345i
\(56\) −0.340197 0.589239i −0.0454608 0.0787403i
\(57\) 6.18552i 0.819292i
\(58\) 0.787772 1.76936i 0.103440 0.232329i
\(59\) −0.854831 4.02166i −0.111290 0.523576i −0.998109 0.0614609i \(-0.980424\pi\)
0.886820 0.462115i \(-0.152909\pi\)
\(60\) −5.71503 + 1.85693i −0.737807 + 0.239728i
\(61\) 4.29684 + 7.44235i 0.550154 + 0.952895i 0.998263 + 0.0589161i \(0.0187644\pi\)
−0.448109 + 0.893979i \(0.647902\pi\)
\(62\) −0.955157 + 1.03456i −0.121305 + 0.131389i
\(63\) 1.14593 + 0.661605i 0.144374 + 0.0833544i
\(64\) 2.01037 + 6.18728i 0.251296 + 0.773410i
\(65\) −10.6439 2.09617i −1.32022 0.259998i
\(66\) 0.0817826 0.0594186i 0.0100667 0.00731392i
\(67\) −2.54983 1.47215i −0.311512 0.179851i 0.336091 0.941830i \(-0.390895\pi\)
−0.647603 + 0.761978i \(0.724228\pi\)
\(68\) 6.34540 10.9906i 0.769493 1.33280i
\(69\) 2.62789 + 1.17001i 0.316361 + 0.140853i
\(70\) 0.305712 0.420777i 0.0365396 0.0502925i
\(71\) −12.7867 1.34394i −1.51750 0.159496i −0.691175 0.722688i \(-0.742907\pi\)
−0.826326 + 0.563192i \(0.809573\pi\)
\(72\) 1.43200 + 1.28938i 0.168763 + 0.151955i
\(73\) −6.80702 9.36905i −0.796701 1.09656i −0.993241 0.116069i \(-0.962971\pi\)
0.196540 0.980496i \(-0.437029\pi\)
\(74\) −1.84716 + 2.05148i −0.214728 + 0.238480i
\(75\) −2.79756 3.10700i −0.323034 0.358766i
\(76\) −4.72173 10.6052i −0.541619 1.21650i
\(77\) 0.0818466 0.251898i 0.00932729 0.0287064i
\(78\) −0.304048 0.890129i −0.0344267 0.100787i
\(79\) 6.68904 + 4.85987i 0.752576 + 0.546778i 0.896624 0.442792i \(-0.146012\pi\)
−0.144048 + 0.989571i \(0.546012\pi\)
\(80\) −8.09502 + 7.28879i −0.905051 + 0.814912i
\(81\) −0.542865 0.115390i −0.0603184 0.0128211i
\(82\) −0.607429 0.270445i −0.0670793 0.0298656i
\(83\) 12.5297 4.07114i 1.37531 0.446866i 0.474187 0.880424i \(-0.342742\pi\)
0.901126 + 0.433558i \(0.142742\pi\)
\(84\) −1.35767 0.142696i −0.148133 0.0155695i
\(85\) 19.6147 + 2.06159i 2.12751 + 0.223611i
\(86\) 0.535155 + 0.736577i 0.0577072 + 0.0794272i
\(87\) −3.95021 6.84196i −0.423506 0.733535i
\(88\) 0.192855 0.334034i 0.0205584 0.0356081i
\(89\) 0.304553 0.0320098i 0.0322825 0.00339303i −0.0883734 0.996087i \(-0.528167\pi\)
0.120656 + 0.992694i \(0.461500\pi\)
\(90\) −0.455183 + 1.40091i −0.0479805 + 0.147669i
\(91\) −2.01533 1.41855i −0.211264 0.148705i
\(92\) 5.39870 0.562853
\(93\) 1.12399 + 5.63255i 0.116552 + 0.584068i
\(94\) −0.901901 + 1.56214i −0.0930239 + 0.161122i
\(95\) 12.0719 13.4072i 1.23855 1.37555i
\(96\) −2.85143 0.926487i −0.291023 0.0945592i
\(97\) 7.05944 15.8558i 0.716778 1.60991i −0.0735989 0.997288i \(-0.523448\pi\)
0.790377 0.612621i \(-0.209885\pi\)
\(98\) −1.43077 + 0.826056i −0.144530 + 0.0834442i
\(99\) 0.750115i 0.0753894i
\(100\) −7.16820 3.19149i −0.716820 0.319149i
\(101\) 1.83207 0.815690i 0.182298 0.0811642i −0.313558 0.949569i \(-0.601521\pi\)
0.495856 + 0.868405i \(0.334854\pi\)
\(102\) 0.695556 + 1.56224i 0.0688703 + 0.154685i
\(103\) −5.67961 17.4800i −0.559628 1.72236i −0.683397 0.730047i \(-0.739498\pi\)
0.123769 0.992311i \(-0.460502\pi\)
\(104\) −2.44122 2.63084i −0.239381 0.257975i
\(105\) −0.655600 2.01773i −0.0639800 0.196910i
\(106\) 1.61306 1.45240i 0.156674 0.141070i
\(107\) −7.02601 + 3.12818i −0.679230 + 0.302413i −0.717201 0.696866i \(-0.754577\pi\)
0.0379709 + 0.999279i \(0.487911\pi\)
\(108\) 9.64238 2.04955i 0.927838 0.197218i
\(109\) −7.60295 2.47035i −0.728230 0.236616i −0.0786424 0.996903i \(-0.525059\pi\)
−0.649588 + 0.760287i \(0.725059\pi\)
\(110\) 0.293230 + 0.0308197i 0.0279583 + 0.00293854i
\(111\) 2.34118 + 11.0144i 0.222215 + 1.04544i
\(112\) −2.35351 + 0.764703i −0.222386 + 0.0722577i
\(113\) 3.38612 + 1.50760i 0.318540 + 0.141823i 0.559777 0.828643i \(-0.310887\pi\)
−0.241238 + 0.970466i \(0.577553\pi\)
\(114\) 1.53011 + 0.325234i 0.143308 + 0.0304610i
\(115\) 3.41257 + 7.66475i 0.318223 + 0.714741i
\(116\) −11.9955 8.71525i −1.11376 0.809191i
\(117\) 6.66974 + 2.05711i 0.616618 + 0.190179i
\(118\) 1.03978 0.0957197
\(119\) 3.88029 + 2.24029i 0.355706 + 0.205367i
\(120\) −0.322948 3.07265i −0.0294810 0.280493i
\(121\) −10.6128 + 2.25581i −0.964796 + 0.205074i
\(122\) −2.06694 + 0.671588i −0.187132 + 0.0608027i
\(123\) −2.34887 + 1.35612i −0.211790 + 0.122277i
\(124\) 6.22672 + 8.79910i 0.559176 + 0.790183i
\(125\) 2.84967i 0.254882i
\(126\) −0.223914 + 0.248682i −0.0199478 + 0.0221543i
\(127\) −12.3403 13.7053i −1.09503 1.21615i −0.974724 0.223413i \(-0.928280\pi\)
−0.120302 0.992737i \(-0.538386\pi\)
\(128\) −7.41718 + 0.779577i −0.655592 + 0.0689055i
\(129\) 3.71384 0.326985
\(130\) 1.07819 2.52277i 0.0945631 0.221261i
\(131\) −3.97513 + 2.88810i −0.347309 + 0.252335i −0.747739 0.663993i \(-0.768861\pi\)
0.400430 + 0.916327i \(0.368861\pi\)
\(132\) −0.314768 0.706981i −0.0273971 0.0615348i
\(133\) 3.74423 1.66704i 0.324666 0.144550i
\(134\) 0.498234 0.553345i 0.0430409 0.0478017i
\(135\) 9.00486 + 12.3941i 0.775015 + 1.06672i
\(136\) 4.84896 + 4.36602i 0.415795 + 0.374383i
\(137\) −0.473860 2.22934i −0.0404846 0.190465i 0.953258 0.302157i \(-0.0977065\pi\)
−0.993743 + 0.111691i \(0.964373\pi\)
\(138\) −0.427600 + 0.588541i −0.0363997 + 0.0500999i
\(139\) 11.9091 2.53135i 1.01011 0.214706i 0.327005 0.945023i \(-0.393961\pi\)
0.683109 + 0.730316i \(0.260627\pi\)
\(140\) −2.66428 2.95898i −0.225172 0.250079i
\(141\) 2.99271 + 6.72173i 0.252032 + 0.566072i
\(142\) 1.00477 3.09237i 0.0843185 0.259506i
\(143\) 0.125191 1.39149i 0.0104690 0.116362i
\(144\) 5.66993 4.11945i 0.472494 0.343287i
\(145\) 4.79092 22.5395i 0.397864 1.87180i
\(146\) 2.67553 1.19122i 0.221428 0.0985862i
\(147\) −0.704428 + 6.70218i −0.0581002 + 0.552787i
\(148\) 12.4219 + 17.0972i 1.02107 + 1.40538i
\(149\) −10.0996 + 5.83100i −0.827390 + 0.477694i −0.852958 0.521979i \(-0.825194\pi\)
0.0255682 + 0.999673i \(0.491861\pi\)
\(150\) 0.915672 0.528664i 0.0747643 0.0431652i
\(151\) 0.360175 + 0.495738i 0.0293106 + 0.0403426i 0.823421 0.567431i \(-0.192063\pi\)
−0.794110 + 0.607774i \(0.792063\pi\)
\(152\) 5.83818 1.24094i 0.473539 0.100654i
\(153\) −12.4122 2.63829i −1.00346 0.213293i
\(154\) 0.0580083 + 0.0334911i 0.00467444 + 0.00269879i
\(155\) −8.55647 + 14.4023i −0.687272 + 1.15682i
\(156\) −7.14942 + 0.859986i −0.572412 + 0.0688540i
\(157\) 6.04184 + 18.5949i 0.482191 + 1.48403i 0.836008 + 0.548717i \(0.184883\pi\)
−0.353817 + 0.935315i \(0.615117\pi\)
\(158\) −1.55389 + 1.39913i −0.123621 + 0.111309i
\(159\) −0.925494 8.80548i −0.0733964 0.698320i
\(160\) −4.37237 7.57317i −0.345666 0.598712i
\(161\) 1.90605i 0.150218i
\(162\) 0.0570876 0.128221i 0.00448523 0.0100740i
\(163\) 1.39795 + 0.146930i 0.109496 + 0.0115085i 0.159118 0.987260i \(-0.449135\pi\)
−0.0496220 + 0.998768i \(0.515802\pi\)
\(164\) −2.99197 + 4.11810i −0.233634 + 0.321570i
\(165\) 0.804761 0.893777i 0.0626505 0.0695805i
\(166\) 0.348265 + 3.31352i 0.0270306 + 0.257179i
\(167\) −1.71140 + 8.05153i −0.132432 + 0.623046i 0.860998 + 0.508608i \(0.169840\pi\)
−0.993430 + 0.114437i \(0.963493\pi\)
\(168\) 0.216894 0.667530i 0.0167337 0.0515010i
\(169\) −12.0293 4.92915i −0.925329 0.379165i
\(170\) −1.54131 + 4.74368i −0.118213 + 0.363823i
\(171\) −8.62611 + 7.76699i −0.659655 + 0.593956i
\(172\) 6.36744 2.83497i 0.485513 0.216164i
\(173\) −3.12552 + 0.664350i −0.237629 + 0.0505096i −0.325187 0.945650i \(-0.605427\pi\)
0.0875577 + 0.996159i \(0.472094\pi\)
\(174\) 1.90019 0.617409i 0.144053 0.0468057i
\(175\) 1.12678 2.53078i 0.0851763 0.191309i
\(176\) −1.04252 0.938687i −0.0785827 0.0707562i
\(177\) 2.49301 3.43133i 0.187386 0.257915i
\(178\) −0.00809513 + 0.0770200i −0.000606755 + 0.00577289i
\(179\) −1.25649 11.9547i −0.0939148 0.893539i −0.935479 0.353382i \(-0.885032\pi\)
0.841564 0.540157i \(-0.181635\pi\)
\(180\) 9.76582 + 5.63830i 0.727901 + 0.420254i
\(181\) 0.415349 0.0308726 0.0154363 0.999881i \(-0.495086\pi\)
0.0154363 + 0.999881i \(0.495086\pi\)
\(182\) 0.456871 0.423942i 0.0338656 0.0314247i
\(183\) −2.73946 + 8.43120i −0.202507 + 0.623252i
\(184\) −0.577104 + 2.71506i −0.0425447 + 0.200157i
\(185\) −16.4216 + 28.4431i −1.20734 + 2.09118i
\(186\) −1.45242 0.0181184i −0.106496 0.00132850i
\(187\) 2.53999i 0.185743i
\(188\) 10.2621 + 9.24003i 0.748440 + 0.673899i
\(189\) 0.723608 + 3.40431i 0.0526347 + 0.247627i
\(190\) 2.68180 + 3.69118i 0.194558 + 0.267786i
\(191\) −2.92375 5.06408i −0.211555 0.366424i 0.740646 0.671895i \(-0.234519\pi\)
−0.952201 + 0.305471i \(0.901186\pi\)
\(192\) −3.35558 + 5.81203i −0.242168 + 0.419447i
\(193\) −8.88674 + 0.934034i −0.639681 + 0.0672332i −0.418816 0.908071i \(-0.637555\pi\)
−0.220865 + 0.975304i \(0.570888\pi\)
\(194\) 3.55104 + 2.57998i 0.254950 + 0.185232i
\(195\) −5.74017 9.60671i −0.411062 0.687951i
\(196\) 3.90837 + 12.0287i 0.279169 + 0.859195i
\(197\) −17.6640 + 1.85656i −1.25851 + 0.132275i −0.710200 0.704000i \(-0.751395\pi\)
−0.548310 + 0.836275i \(0.684729\pi\)
\(198\) −0.185555 0.0394410i −0.0131868 0.00280295i
\(199\) 19.8997 4.22981i 1.41065 0.299843i 0.561274 0.827630i \(-0.310311\pi\)
0.849377 + 0.527787i \(0.176978\pi\)
\(200\) 2.37129 3.26380i 0.167675 0.230785i
\(201\) −0.631486 2.97091i −0.0445416 0.209552i
\(202\) 0.105446 + 0.496086i 0.00741918 + 0.0349045i
\(203\) 3.07698 4.23510i 0.215962 0.297246i
\(204\) 12.8055 2.72190i 0.896565 0.190571i
\(205\) −7.73788 1.64474i −0.540437 0.114873i
\(206\) 4.62265 0.485860i 0.322075 0.0338515i
\(207\) −1.66811 5.13393i −0.115942 0.356833i
\(208\) −11.2054 + 6.69543i −0.776957 + 0.464244i
\(209\) 1.87970 + 1.36568i 0.130022 + 0.0944662i
\(210\) 0.533596 0.0560832i 0.0368216 0.00387011i
\(211\) −0.942962 + 1.63326i −0.0649162 + 0.112438i −0.896657 0.442726i \(-0.854011\pi\)
0.831741 + 0.555164i \(0.187345\pi\)
\(212\) −8.30846 14.3907i −0.570627 0.988355i
\(213\) −7.79590 10.7301i −0.534166 0.735216i
\(214\) −0.404389 1.90250i −0.0276434 0.130052i
\(215\) 8.04983 + 7.24810i 0.548994 + 0.494316i
\(216\) 5.06834i 0.344857i
\(217\) −3.10658 + 2.19839i −0.210888 + 0.149236i
\(218\) 1.01085 1.75084i 0.0684634 0.118582i
\(219\) 2.48382 11.6855i 0.167841 0.789631i
\(220\) 0.697509 2.14671i 0.0470261 0.144731i
\(221\) 22.5847 + 6.96564i 1.51921 + 0.468560i
\(222\) −2.84772 −0.191127
\(223\) 4.60004 + 2.65584i 0.308042 + 0.177848i 0.646050 0.763295i \(-0.276420\pi\)
−0.338008 + 0.941143i \(0.609753\pi\)
\(224\) −0.207657 1.97573i −0.0138747 0.132009i
\(225\) −0.820103 + 7.80276i −0.0546736 + 0.520184i
\(226\) −0.550975 + 0.758353i −0.0366503 + 0.0504449i
\(227\) 15.9232 + 14.3374i 1.05686 + 0.951604i 0.998908 0.0467153i \(-0.0148754\pi\)
0.0579549 + 0.998319i \(0.481542\pi\)
\(228\) 4.87085 10.9401i 0.322580 0.724526i
\(229\) −22.9397 + 7.45357i −1.51590 + 0.492546i −0.944608 0.328201i \(-0.893558\pi\)
−0.571293 + 0.820746i \(0.693558\pi\)
\(230\) −2.07545 + 0.441151i −0.136851 + 0.0290887i
\(231\) 0.249604 0.111131i 0.0164228 0.00731188i
\(232\) 5.66527 5.10103i 0.371943 0.334899i
\(233\) 4.72224 14.5335i 0.309364 0.952124i −0.668649 0.743578i \(-0.733127\pi\)
0.978013 0.208546i \(-0.0668730\pi\)
\(234\) −0.859559 + 1.54173i −0.0561911 + 0.100786i
\(235\) −6.63168 + 20.4102i −0.432603 + 1.33142i
\(236\) 1.65499 7.78612i 0.107731 0.506833i
\(237\) 0.891547 + 8.48250i 0.0579122 + 0.550998i
\(238\) −0.758203 + 0.842070i −0.0491470 + 0.0545833i
\(239\) 6.42393 8.84178i 0.415529 0.571927i −0.549027 0.835805i \(-0.685002\pi\)
0.964556 + 0.263878i \(0.0850016\pi\)
\(240\) −11.1754 1.17458i −0.721368 0.0758188i
\(241\) −9.46559 + 21.2601i −0.609732 + 1.36948i 0.299862 + 0.953983i \(0.403059\pi\)
−0.909594 + 0.415498i \(0.863607\pi\)
\(242\) 2.74388i 0.176383i
\(243\) −7.92384 13.7245i −0.508315 0.880427i
\(244\) 1.73912 + 16.5466i 0.111336 + 1.05929i
\(245\) −14.6071 + 13.1523i −0.933216 + 0.840272i
\(246\) −0.211959 0.652342i −0.0135140 0.0415918i
\(247\) 17.2980 12.9684i 1.10065 0.825157i
\(248\) −5.09077 + 2.19088i −0.323264 + 0.139121i
\(249\) 11.7698 + 6.79529i 0.745880 + 0.430634i
\(250\) −0.704920 0.149835i −0.0445831 0.00947642i
\(251\) 27.7455 5.89750i 1.75128 0.372247i 0.782984 0.622042i \(-0.213697\pi\)
0.968299 + 0.249795i \(0.0803632\pi\)
\(252\) 1.50578 + 2.07253i 0.0948555 + 0.130557i
\(253\) −0.935758 + 0.540260i −0.0588306 + 0.0339659i
\(254\) 4.03913 2.33199i 0.253437 0.146322i
\(255\) 11.9589 + 16.4600i 0.748893 + 1.03076i
\(256\) −1.16291 + 11.0643i −0.0726818 + 0.691521i
\(257\) −14.1057 + 6.28027i −0.879890 + 0.391752i −0.796410 0.604757i \(-0.793270\pi\)
−0.0834804 + 0.996509i \(0.526604\pi\)
\(258\) −0.195273 + 0.918689i −0.0121572 + 0.0571951i
\(259\) −6.03629 + 4.38562i −0.375077 + 0.272509i
\(260\) −17.1749 12.0891i −1.06514 0.749734i
\(261\) −4.58140 + 14.1001i −0.283581 + 0.872773i
\(262\) −0.505415 1.13518i −0.0312247 0.0701317i
\(263\) −1.76244 1.95739i −0.108677 0.120698i 0.686352 0.727269i \(-0.259211\pi\)
−0.795029 + 0.606572i \(0.792544\pi\)
\(264\) 0.389195 0.0827260i 0.0239533 0.00509144i
\(265\) 15.1792 20.8923i 0.932448 1.28340i
\(266\) 0.215502 + 1.01386i 0.0132133 + 0.0621637i
\(267\) 0.234760 + 0.211379i 0.0143671 + 0.0129362i
\(268\) −3.35054 4.61163i −0.204667 0.281700i
\(269\) 11.8053 13.1111i 0.719781 0.799398i −0.266612 0.963804i \(-0.585904\pi\)
0.986393 + 0.164406i \(0.0525707\pi\)
\(270\) −3.53940 + 1.57584i −0.215401 + 0.0959027i
\(271\) 4.06900 + 9.13913i 0.247174 + 0.555163i 0.993940 0.109925i \(-0.0350609\pi\)
−0.746766 + 0.665087i \(0.768394\pi\)
\(272\) 19.1992 13.9490i 1.16412 0.845783i
\(273\) −0.303624 2.52415i −0.0183761 0.152769i
\(274\) 0.576385 0.0348207
\(275\) 1.56184 0.164156i 0.0941828 0.00989901i
\(276\) 3.72652 + 4.13872i 0.224310 + 0.249122i
\(277\) −8.08831 + 8.98297i −0.485979 + 0.539735i −0.935403 0.353584i \(-0.884963\pi\)
0.449423 + 0.893319i \(0.351629\pi\)
\(278\) 3.07903i 0.184668i
\(279\) 6.44360 8.64012i 0.385768 0.517271i
\(280\) 1.77290 1.02359i 0.105951 0.0611710i
\(281\) 3.26216 1.05994i 0.194604 0.0632307i −0.210093 0.977681i \(-0.567377\pi\)
0.404697 + 0.914451i \(0.367377\pi\)
\(282\) −1.82011 + 0.386875i −0.108386 + 0.0230381i
\(283\) 1.32568 + 12.6130i 0.0788034 + 0.749764i 0.960563 + 0.278064i \(0.0896927\pi\)
−0.881759 + 0.471700i \(0.843641\pi\)
\(284\) −21.5571 12.4460i −1.27918 0.738533i
\(285\) 18.6110 1.10242
\(286\) 0.337629 + 0.104133i 0.0199644 + 0.00615750i
\(287\) −1.45392 1.05634i −0.0858223 0.0623536i
\(288\) 2.28842 + 5.13988i 0.134847 + 0.302870i
\(289\) −25.4008 5.39911i −1.49416 0.317595i
\(290\) 5.32367 + 2.37025i 0.312617 + 0.139186i
\(291\) 17.0281 5.53277i 0.998207 0.324337i
\(292\) −4.66157 21.9310i −0.272798 1.28341i
\(293\) 1.60287 + 0.168468i 0.0936406 + 0.00984202i 0.151233 0.988498i \(-0.451676\pi\)
−0.0575923 + 0.998340i \(0.518342\pi\)
\(294\) −1.62087 0.526654i −0.0945313 0.0307151i
\(295\) 12.1004 2.57202i 0.704512 0.149749i
\(296\) −9.92623 + 4.41944i −0.576950 + 0.256875i
\(297\) −1.46621 + 1.32018i −0.0850783 + 0.0766048i
\(298\) −0.911373 2.80492i −0.0527944 0.162485i
\(299\) 2.23758 + 9.80201i 0.129403 + 0.566865i
\(300\) −2.50130 7.69821i −0.144413 0.444456i
\(301\) 1.00090 + 2.24807i 0.0576911 + 0.129576i
\(302\) −0.141568 + 0.0630302i −0.00814633 + 0.00362698i
\(303\) 1.88993 + 0.841451i 0.108574 + 0.0483401i
\(304\) 21.7082i 1.24505i
\(305\) −22.3926 + 12.9283i −1.28219 + 0.740275i
\(306\) 1.30526 2.93167i 0.0746169 0.167592i
\(307\) −9.56717 3.10856i −0.546027 0.177415i 0.0229974 0.999736i \(-0.492679\pi\)
−0.569025 + 0.822321i \(0.692679\pi\)
\(308\) 0.343119 0.381072i 0.0195510 0.0217136i
\(309\) 9.48002 16.4199i 0.539300 0.934094i
\(310\) −3.11279 2.87388i −0.176794 0.163225i
\(311\) −28.8367 −1.63518 −0.817591 0.575800i \(-0.804691\pi\)
−0.817591 + 0.575800i \(0.804691\pi\)
\(312\) 0.331755 3.68745i 0.0187819 0.208761i
\(313\) −7.98599 + 24.5784i −0.451395 + 1.38925i 0.423921 + 0.905699i \(0.360654\pi\)
−0.875316 + 0.483552i \(0.839346\pi\)
\(314\) −4.91747 + 0.516847i −0.277509 + 0.0291674i
\(315\) −1.99064 + 3.44789i −0.112160 + 0.194267i
\(316\) 8.00371 + 13.8628i 0.450244 + 0.779845i
\(317\) −12.8753 17.7213i −0.723149 0.995329i −0.999413 0.0342477i \(-0.989097\pi\)
0.276264 0.961082i \(-0.410903\pi\)
\(318\) 2.22687 + 0.234053i 0.124877 + 0.0131250i
\(319\) 2.95134 + 0.310198i 0.165243 + 0.0173678i
\(320\) −18.6163 + 6.04881i −1.04068 + 0.338139i
\(321\) −7.24791 3.22698i −0.404539 0.180112i
\(322\) −0.471497 0.100220i −0.0262755 0.00558503i
\(323\) −29.2092 + 26.3001i −1.62524 + 1.46338i
\(324\) −0.869282 0.631570i −0.0482934 0.0350872i
\(325\) 2.82356 14.3375i 0.156623 0.795302i
\(326\) −0.109850 + 0.338084i −0.00608403 + 0.0187247i
\(327\) −3.35423 7.53372i −0.185489 0.416616i
\(328\) −1.75120 1.94491i −0.0966939 0.107389i
\(329\) −3.26226 + 3.62310i −0.179854 + 0.199748i
\(330\) 0.178779 + 0.246068i 0.00984144 + 0.0135456i
\(331\) −2.26854 2.04260i −0.124690 0.112272i 0.604427 0.796661i \(-0.293402\pi\)
−0.729117 + 0.684389i \(0.760069\pi\)
\(332\) 25.3667 + 2.66615i 1.39218 + 0.146324i
\(333\) 12.4206 17.0954i 0.680643 0.936824i
\(334\) −1.90171 0.846697i −0.104057 0.0463292i
\(335\) 4.42940 7.67195i 0.242004 0.419163i
\(336\) −2.21078 1.27639i −0.120608 0.0696329i
\(337\) 14.1222 10.2604i 0.769283 0.558917i −0.132460 0.991188i \(-0.542288\pi\)
0.901744 + 0.432271i \(0.142288\pi\)
\(338\) 1.85182 2.71650i 0.100726 0.147758i
\(339\) 1.18157 + 3.63649i 0.0641739 + 0.197507i
\(340\) 33.0684 + 19.0921i 1.79339 + 1.03541i
\(341\) −1.95982 0.902028i −0.106130 0.0488476i
\(342\) −1.46775 2.54222i −0.0793670 0.137468i
\(343\) −8.79737 + 2.85844i −0.475014 + 0.154341i
\(344\) 0.745074 + 3.50530i 0.0401717 + 0.188993i
\(345\) −3.52034 + 7.90681i −0.189529 + 0.425688i
\(346\) 0.808089i 0.0434431i
\(347\) 7.17137 + 12.4212i 0.384979 + 0.666804i 0.991766 0.128061i \(-0.0408752\pi\)
−0.606787 + 0.794865i \(0.707542\pi\)
\(348\) −1.59882 15.2118i −0.0857057 0.815435i
\(349\) 2.95497 + 6.63698i 0.158176 + 0.355269i 0.975197 0.221339i \(-0.0710427\pi\)
−0.817021 + 0.576608i \(0.804376\pi\)
\(350\) 0.566791 + 0.411798i 0.0302963 + 0.0220115i
\(351\) 7.71765 + 16.6575i 0.411938 + 0.889109i
\(352\) 0.911108 0.661959i 0.0485622 0.0352825i
\(353\) 1.95044 9.17610i 0.103811 0.488394i −0.895269 0.445525i \(-0.853017\pi\)
0.999081 0.0428689i \(-0.0136498\pi\)
\(354\) 0.717723 + 0.797112i 0.0381465 + 0.0423660i
\(355\) 4.04364 38.4726i 0.214614 2.04191i
\(356\) 0.563858 + 0.183208i 0.0298844 + 0.00971003i
\(357\) 0.960984 + 4.52107i 0.0508607 + 0.239281i
\(358\) 3.02330 + 0.317762i 0.159786 + 0.0167942i
\(359\) −34.6698 11.2649i −1.82980 0.594538i −0.999296 0.0375249i \(-0.988053\pi\)
−0.830504 0.557013i \(-0.811947\pi\)
\(360\) −3.87949 + 4.30861i −0.204467 + 0.227084i
\(361\) 1.77215 + 16.8609i 0.0932712 + 0.887417i
\(362\) −0.0218390 + 0.102744i −0.00114783 + 0.00540013i
\(363\) −9.05493 6.57879i −0.475261 0.345297i
\(364\) −2.44738 4.09593i −0.128278 0.214685i
\(365\) 28.1896 20.4810i 1.47551 1.07202i
\(366\) −1.94158 1.12097i −0.101488 0.0585941i
\(367\) 5.40048 9.35390i 0.281903 0.488270i −0.689951 0.723856i \(-0.742368\pi\)
0.971853 + 0.235587i \(0.0757012\pi\)
\(368\) 9.22264 + 4.10618i 0.480763 + 0.214050i
\(369\) 4.84061 + 1.57281i 0.251992 + 0.0818771i
\(370\) −6.17250 5.55775i −0.320893 0.288934i
\(371\) 5.08072 2.93336i 0.263778 0.152292i
\(372\) −2.44744 + 10.8472i −0.126894 + 0.562400i
\(373\) −2.03719 3.52852i −0.105482 0.182700i 0.808453 0.588560i \(-0.200305\pi\)
−0.913935 + 0.405861i \(0.866972\pi\)
\(374\) −0.628316 0.133553i −0.0324895 0.00690585i
\(375\) −2.18460 + 1.96702i −0.112812 + 0.101576i
\(376\) −5.74389 + 4.17318i −0.296219 + 0.215215i
\(377\) 10.8519 25.3915i 0.558900 1.30773i
\(378\) −0.880168 −0.0452709
\(379\) 21.6404 2.27450i 1.11159 0.116833i 0.469114 0.883137i \(-0.344573\pi\)
0.642478 + 0.766304i \(0.277907\pi\)
\(380\) 31.9089 14.2067i 1.63689 0.728790i
\(381\) 1.98863 18.9205i 0.101881 0.969328i
\(382\) 1.40643 0.456976i 0.0719591 0.0233809i
\(383\) 6.27234 14.0879i 0.320502 0.719858i −0.679402 0.733766i \(-0.737761\pi\)
0.999903 + 0.0139083i \(0.00442729\pi\)
\(384\) −5.71744 5.14800i −0.291767 0.262708i
\(385\) 0.757911 + 0.246260i 0.0386267 + 0.0125506i
\(386\) 0.236213 2.24742i 0.0120229 0.114390i
\(387\) −4.66337 5.17920i −0.237052 0.263273i
\(388\) 24.9716 22.4845i 1.26774 1.14148i
\(389\) −3.82197 2.77682i −0.193782 0.140791i 0.486664 0.873589i \(-0.338214\pi\)
−0.680445 + 0.732799i \(0.738214\pi\)
\(390\) 2.67822 0.914820i 0.135617 0.0463237i
\(391\) −5.64846 17.3842i −0.285655 0.879156i
\(392\) −6.46716 + 0.679726i −0.326641 + 0.0343313i
\(393\) −4.95795 1.05384i −0.250095 0.0531594i
\(394\) 0.469517 4.46715i 0.0236539 0.225052i
\(395\) −14.6224 + 20.1260i −0.735732 + 1.01265i
\(396\) −0.590686 + 1.32670i −0.0296831 + 0.0666693i
\(397\) −18.0996 + 10.4498i −0.908395 + 0.524462i −0.879914 0.475132i \(-0.842400\pi\)
−0.0284806 + 0.999594i \(0.509067\pi\)
\(398\) 5.14497i 0.257894i
\(399\) 3.86247 + 1.71968i 0.193366 + 0.0860919i
\(400\) −9.81808 10.9041i −0.490904 0.545204i
\(401\) −4.85138 + 22.8240i −0.242267 + 1.13977i 0.673852 + 0.738867i \(0.264639\pi\)
−0.916118 + 0.400908i \(0.868695\pi\)
\(402\) 0.768115 0.0383101
\(403\) −13.3951 + 14.9523i −0.667257 + 0.744828i
\(404\) 3.88264 0.193168
\(405\) 0.347184 1.63337i 0.0172517 0.0811630i
\(406\) 0.885845 + 0.983831i 0.0439638 + 0.0488267i
\(407\) −3.86404 1.72038i −0.191534 0.0852762i
\(408\) 6.73098i 0.333233i
\(409\) −0.0956802 + 0.0552410i −0.00473108 + 0.00273149i −0.502364 0.864656i \(-0.667536\pi\)
0.497633 + 0.867388i \(0.334203\pi\)
\(410\) 0.813714 1.82763i 0.0401865 0.0902603i
\(411\) 1.38195 1.90210i 0.0681668 0.0938235i
\(412\) 3.71951 35.3888i 0.183247 1.74348i
\(413\) 2.74894 + 0.584305i 0.135267 + 0.0287518i
\(414\) 1.35768 0.142698i 0.0667266 0.00701324i
\(415\) 12.2493 + 37.6994i 0.601293 + 1.85059i
\(416\) −3.38728 9.91657i −0.166075 0.486200i
\(417\) 10.1610 + 7.38237i 0.497584 + 0.361516i
\(418\) −0.436662 + 0.393172i −0.0213578 + 0.0192307i
\(419\) 11.0192 + 12.2381i 0.538323 + 0.597869i 0.949531 0.313673i \(-0.101560\pi\)
−0.411208 + 0.911542i \(0.634893\pi\)
\(420\) 0.429345 4.08495i 0.0209499 0.199325i
\(421\) −21.5611 7.00563i −1.05082 0.341433i −0.267832 0.963466i \(-0.586307\pi\)
−0.782992 + 0.622032i \(0.786307\pi\)
\(422\) −0.354437 0.319136i −0.0172537 0.0155353i
\(423\) 5.61604 12.6138i 0.273061 0.613305i
\(424\) 8.12536 2.64009i 0.394602 0.128214i
\(425\) −2.77698 + 26.4212i −0.134703 + 1.28162i
\(426\) 3.06421 1.36427i 0.148462 0.0660993i
\(427\) −5.84189 + 0.614007i −0.282709 + 0.0297139i
\(428\) −14.8900 −0.719734
\(429\) 1.15315 0.864520i 0.0556746 0.0417394i
\(430\) −2.21621 + 1.61017i −0.106875 + 0.0776495i
\(431\) 1.03606 0.932875i 0.0499054 0.0449350i −0.643801 0.765193i \(-0.722643\pi\)
0.693706 + 0.720258i \(0.255977\pi\)
\(432\) 18.0310 + 3.83261i 0.867517 + 0.184396i
\(433\) 6.80917 + 11.7938i 0.327228 + 0.566775i 0.981961 0.189085i \(-0.0605522\pi\)
−0.654733 + 0.755860i \(0.727219\pi\)
\(434\) −0.380469 0.884063i −0.0182631 0.0424364i
\(435\) 20.5861 11.8854i 0.987028 0.569861i
\(436\) −11.5018 10.3562i −0.550834 0.495974i
\(437\) −15.9020 5.16688i −0.760698 0.247166i
\(438\) 2.76002 + 1.22884i 0.131879 + 0.0587163i
\(439\) 10.8256 18.7505i 0.516677 0.894910i −0.483136 0.875545i \(-0.660502\pi\)
0.999812 0.0193649i \(-0.00616442\pi\)
\(440\) 1.00504 + 0.580261i 0.0479135 + 0.0276629i
\(441\) 10.2312 7.43338i 0.487198 0.353970i
\(442\) −2.91059 + 5.22050i −0.138442 + 0.248314i
\(443\) 27.8765 + 20.2535i 1.32445 + 0.962271i 0.999865 + 0.0164157i \(0.00522552\pi\)
0.324588 + 0.945856i \(0.394774\pi\)
\(444\) −4.53264 + 21.3244i −0.215109 + 1.01201i
\(445\) 0.0963110 + 0.916338i 0.00456558 + 0.0434386i
\(446\) −0.898842 + 0.998265i −0.0425614 + 0.0472692i
\(447\) −11.4415 3.71757i −0.541164 0.175835i
\(448\) −4.42250 0.464823i −0.208943 0.0219608i
\(449\) −2.78181 13.0874i −0.131282 0.617631i −0.993760 0.111538i \(-0.964422\pi\)
0.862479 0.506094i \(-0.168911\pi\)
\(450\) −1.88704 0.613137i −0.0889560 0.0289036i
\(451\) 0.106492 1.01320i 0.00501452 0.0477099i
\(452\) 4.80174 + 5.33287i 0.225855 + 0.250837i
\(453\) −0.131425 + 0.618304i −0.00617487 + 0.0290505i
\(454\) −4.38386 + 3.18506i −0.205745 + 0.149482i
\(455\) 4.26814 6.06372i 0.200093 0.284272i
\(456\) 4.98121 + 3.61906i 0.233266 + 0.169478i
\(457\) −6.10489 13.7118i −0.285575 0.641412i 0.712615 0.701556i \(-0.247511\pi\)
−0.998190 + 0.0601437i \(0.980844\pi\)
\(458\) −0.637614 6.06649i −0.0297937 0.283469i
\(459\) −16.6882 28.9047i −0.778937 1.34916i
\(460\) 16.2436i 0.757363i
\(461\) −0.696100 + 1.56347i −0.0324206 + 0.0728179i −0.929030 0.370005i \(-0.879356\pi\)
0.896609 + 0.442822i \(0.146023\pi\)
\(462\) 0.0143662 + 0.0675877i 0.000668376 + 0.00314446i
\(463\) 19.1026 6.20682i 0.887774 0.288455i 0.170592 0.985342i \(-0.445432\pi\)
0.717182 + 0.696886i \(0.245432\pi\)
\(464\) −13.8633 24.0120i −0.643588 1.11473i
\(465\) −16.9472 + 3.38187i −0.785909 + 0.156830i
\(466\) 3.34686 + 1.93231i 0.155040 + 0.0895125i
\(467\) −11.7810 36.2583i −0.545161 1.67783i −0.720607 0.693343i \(-0.756137\pi\)
0.175447 0.984489i \(-0.443863\pi\)
\(468\) 10.1766 + 8.89049i 0.470416 + 0.410963i
\(469\) 1.62817 1.18293i 0.0751817 0.0546227i
\(470\) −4.70016 2.71364i −0.216802 0.125171i
\(471\) −10.0846 + 17.4671i −0.464675 + 0.804841i
\(472\) 3.73880 + 1.66462i 0.172092 + 0.0766204i
\(473\) −0.819968 + 1.12859i −0.0377022 + 0.0518926i
\(474\) −2.14519 0.225468i −0.0985317 0.0103561i
\(475\) 18.0597 + 16.2610i 0.828636 + 0.746107i
\(476\) 5.09879 + 7.01789i 0.233703 + 0.321664i
\(477\) −11.1177 + 12.3475i −0.509045 + 0.565352i
\(478\) 1.84941 + 2.05398i 0.0845902 + 0.0939469i
\(479\) −9.55994 21.4720i −0.436805 0.981080i −0.989075 0.147415i \(-0.952905\pi\)
0.552270 0.833665i \(-0.313762\pi\)
\(480\) 2.78762 8.57940i 0.127237 0.391594i
\(481\) −25.8937 + 29.6397i −1.18065 + 1.35145i
\(482\) −4.76138 3.45935i −0.216875 0.157569i
\(483\) −1.46120 + 1.31567i −0.0664871 + 0.0598652i
\(484\) −20.5468 4.36735i −0.933944 0.198516i
\(485\) 47.7069 + 21.2405i 2.16626 + 0.964480i
\(486\) 3.81165 1.23848i 0.172900 0.0561786i
\(487\) −18.9895 1.99588i −0.860498 0.0904420i −0.336008 0.941859i \(-0.609077\pi\)
−0.524489 + 0.851417i \(0.675744\pi\)
\(488\) −8.50736 0.894160i −0.385110 0.0404767i
\(489\) 0.852313 + 1.17311i 0.0385429 + 0.0530498i
\(490\) −2.48544 4.30490i −0.112281 0.194476i
\(491\) −16.3879 + 28.3846i −0.739575 + 1.28098i 0.213112 + 0.977028i \(0.431640\pi\)
−0.952687 + 0.303953i \(0.901693\pi\)
\(492\) −5.22224 + 0.548880i −0.235437 + 0.0247454i
\(493\) −15.5132 + 47.7448i −0.698681 + 2.15032i
\(494\) 2.29845 + 4.96087i 0.103412 + 0.223200i
\(495\) −2.25695 −0.101442
\(496\) 3.94467 + 19.7675i 0.177121 + 0.887588i
\(497\) 4.39414 7.61087i 0.197104 0.341394i
\(498\) −2.29980 + 2.55418i −0.103056 + 0.114456i
\(499\) −5.62659 1.82819i −0.251881 0.0818410i 0.180355 0.983602i \(-0.442275\pi\)
−0.432236 + 0.901761i \(0.642275\pi\)
\(500\) −2.24400 + 5.04011i −0.100355 + 0.225400i
\(501\) −7.35374 + 4.24568i −0.328541 + 0.189683i
\(502\) 7.17348i 0.320168i
\(503\) 25.5902 + 11.3935i 1.14101 + 0.508010i 0.888178 0.459500i \(-0.151971\pi\)
0.252832 + 0.967510i \(0.418638\pi\)
\(504\) −1.20326 + 0.535727i −0.0535975 + 0.0238632i
\(505\) 2.45425 + 5.51233i 0.109213 + 0.245296i
\(506\) −0.0844416 0.259884i −0.00375389 0.0115533i
\(507\) −4.52461 12.6242i −0.200945 0.560662i
\(508\) −11.0335 33.9576i −0.489532 1.50663i
\(509\) −28.2965 + 25.4783i −1.25422 + 1.12931i −0.268080 + 0.963397i \(0.586389\pi\)
−0.986141 + 0.165909i \(0.946944\pi\)
\(510\) −4.70048 + 2.09279i −0.208141 + 0.0926703i
\(511\) 7.74287 1.64580i 0.342525 0.0728058i
\(512\) −16.8619 5.47875i −0.745196 0.242129i
\(513\) −30.3635 3.19133i −1.34058 0.140901i
\(514\) −0.811867 3.81954i −0.0358099 0.168472i
\(515\) 52.5939 17.0888i 2.31757 0.753023i
\(516\) 6.56853 + 2.92450i 0.289164 + 0.128744i
\(517\) −2.70340 0.574626i −0.118895 0.0252720i
\(518\) −0.767480 1.72379i −0.0337211 0.0757389i
\(519\) −2.66673 1.93749i −0.117056 0.0850465i
\(520\) 7.91567 7.34515i 0.347125 0.322106i
\(521\) −30.4143 −1.33248 −0.666238 0.745739i \(-0.732096\pi\)
−0.666238 + 0.745739i \(0.732096\pi\)
\(522\) −3.24704 1.87468i −0.142119 0.0820524i
\(523\) −0.763609 7.26526i −0.0333903 0.317687i −0.998450 0.0556572i \(-0.982275\pi\)
0.965060 0.262030i \(-0.0843920\pi\)
\(524\) −9.30494 + 1.97783i −0.406488 + 0.0864017i
\(525\) 2.71790 0.883101i 0.118619 0.0385417i
\(526\) 0.576866 0.333054i 0.0251526 0.0145218i
\(527\) 21.8189 29.2566i 0.950447 1.27444i
\(528\) 1.44715i 0.0629791i
\(529\) −10.1869 + 11.3137i −0.442911 + 0.491902i
\(530\) 4.36999 + 4.85337i 0.189820 + 0.210817i
\(531\) −7.91562 + 0.831965i −0.343509 + 0.0361042i
\(532\) 7.93500 0.344026
\(533\) −8.71699 3.72548i −0.377575 0.161369i
\(534\) −0.0646324 + 0.0469582i −0.00279692 + 0.00203208i
\(535\) −9.41208 21.1399i −0.406920 0.913957i
\(536\) 2.67740 1.19205i 0.115646 0.0514889i
\(537\) 8.29737 9.21516i 0.358058 0.397663i
\(538\) 2.62256 + 3.60965i 0.113067 + 0.155623i
\(539\) −1.88118 1.69382i −0.0810282 0.0729581i
\(540\) 6.16669 + 29.0120i 0.265372 + 1.24848i
\(541\) −5.61044 + 7.72210i −0.241211 + 0.331999i −0.912409 0.409279i \(-0.865780\pi\)
0.671198 + 0.741278i \(0.265780\pi\)
\(542\) −2.47469 + 0.526011i −0.106297 + 0.0225941i
\(543\) 0.286700 + 0.318412i 0.0123035 + 0.0136644i
\(544\) 7.74891 + 17.4043i 0.332232 + 0.746205i
\(545\) 7.43279 22.8758i 0.318386 0.979890i
\(546\) 0.640362 + 0.0576126i 0.0274050 + 0.00246559i
\(547\) 10.3071 7.48853i 0.440699 0.320186i −0.345214 0.938524i \(-0.612194\pi\)
0.785912 + 0.618338i \(0.212194\pi\)
\(548\) 0.917414 4.31609i 0.0391900 0.184374i
\(549\) 15.1977 6.76647i 0.648624 0.288786i
\(550\) −0.0415144 + 0.394983i −0.00177018 + 0.0168422i
\(551\) 26.9921 + 37.1515i 1.14990 + 1.58271i
\(552\) −2.47976 + 1.43169i −0.105546 + 0.0609367i
\(553\) −4.89437 + 2.82576i −0.208130 + 0.120164i
\(554\) −1.79683 2.47312i −0.0763399 0.105073i
\(555\) −33.1402 + 7.04416i −1.40672 + 0.299008i
\(556\) 23.0565 + 4.90080i 0.977812 + 0.207840i
\(557\) 19.7123 + 11.3809i 0.835237 + 0.482224i 0.855642 0.517567i \(-0.173162\pi\)
−0.0204053 + 0.999792i \(0.506496\pi\)
\(558\) 1.79850 + 2.04824i 0.0761364 + 0.0867091i
\(559\) 7.78632 + 10.3859i 0.329326 + 0.439276i
\(560\) −2.30084 7.08126i −0.0972283 0.299238i
\(561\) −1.94720 + 1.75326i −0.0822107 + 0.0740228i
\(562\) 0.0906722 + 0.862688i 0.00382478 + 0.0363903i
\(563\) 6.18609 + 10.7146i 0.260713 + 0.451567i 0.966431 0.256925i \(-0.0827092\pi\)
−0.705719 + 0.708492i \(0.749376\pi\)
\(564\) 14.2451i 0.599828i
\(565\) −4.53607 + 10.1882i −0.190834 + 0.428620i
\(566\) −3.18977 0.335258i −0.134076 0.0140919i
\(567\) 0.222980 0.306906i 0.00936428 0.0128888i
\(568\) 8.56359 9.51083i 0.359320 0.399065i
\(569\) 3.83588 + 36.4959i 0.160808 + 1.52999i 0.715902 + 0.698201i \(0.246016\pi\)
−0.555093 + 0.831788i \(0.687317\pi\)
\(570\) −0.978565 + 4.60378i −0.0409876 + 0.192831i
\(571\) 4.05830 12.4902i 0.169834 0.522697i −0.829526 0.558469i \(-0.811389\pi\)
0.999360 + 0.0357721i \(0.0113890\pi\)
\(572\) 1.31716 2.36249i 0.0550733 0.0987808i
\(573\) 1.86404 5.73693i 0.0778715 0.239664i
\(574\) 0.337752 0.304113i 0.0140975 0.0126935i
\(575\) −10.3245 + 4.59676i −0.430561 + 0.191698i
\(576\) 12.3188 2.61844i 0.513282 0.109101i
\(577\) 17.8309 5.79362i 0.742311 0.241191i 0.0866416 0.996240i \(-0.472386\pi\)
0.655669 + 0.755048i \(0.272386\pi\)
\(578\) 2.67114 5.99949i 0.111105 0.249546i
\(579\) −6.85023 6.16797i −0.284686 0.256332i
\(580\) 26.2225 36.0921i 1.08883 1.49864i
\(581\) −0.941301 + 8.95588i −0.0390517 + 0.371552i
\(582\) 0.473300 + 4.50315i 0.0196189 + 0.186661i
\(583\) 2.88021 + 1.66289i 0.119286 + 0.0688699i
\(584\) 11.5276 0.477016
\(585\) −6.18942 + 20.0679i −0.255901 + 0.829707i
\(586\) −0.125953 + 0.387642i −0.00520305 + 0.0160134i
\(587\) −0.518621 + 2.43992i −0.0214058 + 0.100706i −0.987554 0.157283i \(-0.949727\pi\)
0.966148 + 0.257989i \(0.0830599\pi\)
\(588\) −6.52359 + 11.2992i −0.269028 + 0.465971i
\(589\) −9.91972 31.8774i −0.408735 1.31348i
\(590\) 3.12850i 0.128798i
\(591\) −13.6161 12.2600i −0.560091 0.504308i
\(592\) 8.21643 + 38.6553i 0.337693 + 1.58872i
\(593\) 8.33313 + 11.4696i 0.342201 + 0.470999i 0.945083 0.326832i \(-0.105981\pi\)
−0.602882 + 0.797830i \(0.705981\pi\)
\(594\) −0.249479 0.432111i −0.0102363 0.0177297i
\(595\) −6.74058 + 11.6750i −0.276337 + 0.478629i
\(596\) −22.4544 + 2.36006i −0.919770 + 0.0966717i
\(597\) 16.9786 + 12.3357i 0.694890 + 0.504867i
\(598\) −2.54237 + 0.0381194i −0.103965 + 0.00155882i
\(599\) 2.68116 + 8.25176i 0.109549 + 0.337158i 0.990771 0.135545i \(-0.0432785\pi\)
−0.881222 + 0.472703i \(0.843279\pi\)
\(600\) 4.13889 0.435015i 0.168969 0.0177594i
\(601\) 12.0706 + 2.56569i 0.492371 + 0.104657i 0.447404 0.894332i \(-0.352348\pi\)
0.0449668 + 0.998988i \(0.485682\pi\)
\(602\) −0.608730 + 0.129390i −0.0248100 + 0.00527352i
\(603\) −3.35019 + 4.61114i −0.136430 + 0.187780i
\(604\) 0.246654 + 1.16042i 0.0100362 + 0.0472167i
\(605\) −6.78729 31.9317i −0.275943 1.29821i
\(606\) −0.307521 + 0.423267i −0.0124922 + 0.0171940i
\(607\) −2.56275 + 0.544730i −0.104019 + 0.0221099i −0.259627 0.965709i \(-0.583600\pi\)
0.155608 + 0.987819i \(0.450266\pi\)
\(608\) 17.0463 + 3.62330i 0.691319 + 0.146944i
\(609\) 5.37061 0.564474i 0.217628 0.0228736i
\(610\) −2.02068 6.21900i −0.0818147 0.251800i
\(611\) −12.5231 + 22.4618i −0.506632 + 0.908707i
\(612\) −19.8754 14.4403i −0.803416 0.583716i
\(613\) 7.07921 0.744055i 0.285926 0.0300521i 0.0395204 0.999219i \(-0.487417\pi\)
0.246406 + 0.969167i \(0.420750\pi\)
\(614\) 1.27200 2.20317i 0.0513339 0.0889129i
\(615\) −4.08029 7.06727i −0.164533 0.284980i
\(616\) 0.154967 + 0.213293i 0.00624378 + 0.00859383i
\(617\) 0.305085 + 1.43531i 0.0122823 + 0.0577835i 0.983862 0.178929i \(-0.0572633\pi\)
−0.971580 + 0.236713i \(0.923930\pi\)
\(618\) 3.56331 + 3.20842i 0.143337 + 0.129062i
\(619\) 1.74173i 0.0700061i −0.999387 0.0350031i \(-0.988856\pi\)
0.999387 0.0350031i \(-0.0111441\pi\)
\(620\) −26.4748 + 18.7350i −1.06325 + 0.752415i
\(621\) 7.09919 12.2962i 0.284881 0.493428i
\(622\) 1.51623 7.13332i 0.0607954 0.286020i
\(623\) −0.0646830 + 0.199074i −0.00259147 + 0.00797572i
\(624\) −12.8675 3.96864i −0.515112 0.158873i
\(625\) −28.8385 −1.15354
\(626\) −5.66003 3.26782i −0.226220 0.130608i
\(627\) 0.250535 + 2.38369i 0.0100054 + 0.0951952i
\(628\) −3.95673 + 37.6458i −0.157891 + 1.50223i
\(629\) 42.0577 57.8875i 1.67695 2.30813i
\(630\) −0.748234 0.673712i −0.0298103 0.0268413i
\(631\) −10.6464 + 23.9122i −0.423826 + 0.951929i 0.567845 + 0.823135i \(0.307777\pi\)
−0.991671 + 0.128794i \(0.958889\pi\)
\(632\) −7.82733 + 2.54325i −0.311354 + 0.101165i
\(633\) −1.90297 + 0.404489i −0.0756363 + 0.0160770i
\(634\) 5.06069 2.25317i 0.200986 0.0894847i
\(635\) 41.2366 37.1296i 1.63642 1.47344i
\(636\) 5.29708 16.3027i 0.210043 0.646445i
\(637\) −20.2198 + 12.0816i −0.801136 + 0.478692i
\(638\) −0.231915 + 0.713760i −0.00918159 + 0.0282580i
\(639\) −5.17478 + 24.3454i −0.204711 + 0.963091i
\(640\) −2.34559 22.3168i −0.0927177 0.882150i
\(641\) −8.42192 + 9.35349i −0.332646 + 0.369441i −0.886144 0.463410i \(-0.846626\pi\)
0.553498 + 0.832850i \(0.313293\pi\)
\(642\) 1.17935 1.62323i 0.0465452 0.0640639i
\(643\) 32.2612 + 3.39079i 1.27226 + 0.133720i 0.716478 0.697610i \(-0.245753\pi\)
0.555780 + 0.831329i \(0.312420\pi\)
\(644\) −1.50094 + 3.37116i −0.0591452 + 0.132842i
\(645\) 11.1742i 0.439984i
\(646\) −4.97001 8.60831i −0.195542 0.338690i
\(647\) 0.892638 + 8.49288i 0.0350932 + 0.333890i 0.997956 + 0.0638997i \(0.0203538\pi\)
−0.962863 + 0.269990i \(0.912980\pi\)
\(648\) 0.410546 0.369658i 0.0161278 0.0145215i
\(649\) 0.492314 + 1.51519i 0.0193250 + 0.0594763i
\(650\) 3.39820 + 1.45233i 0.133288 + 0.0569650i
\(651\) −3.82967 0.864087i −0.150097 0.0338662i
\(652\) 2.35680 + 1.36070i 0.0922994 + 0.0532891i
\(653\) 22.4975 + 4.78199i 0.880394 + 0.187134i 0.625865 0.779931i \(-0.284746\pi\)
0.254529 + 0.967065i \(0.418079\pi\)
\(654\) 2.03997 0.433610i 0.0797693 0.0169555i
\(655\) −8.68973 11.9604i −0.339536 0.467331i
\(656\) −8.24339 + 4.75932i −0.321850 + 0.185820i
\(657\) −19.4150 + 11.2093i −0.757453 + 0.437315i
\(658\) −0.724714 0.997484i −0.0282523 0.0388860i
\(659\) −4.06171 + 38.6446i −0.158222 + 1.50538i 0.570914 + 0.821010i \(0.306589\pi\)
−0.729135 + 0.684370i \(0.760078\pi\)
\(660\) 2.12717 0.947075i 0.0827998 0.0368648i
\(661\) 3.52225 16.5709i 0.137000 0.644532i −0.855035 0.518569i \(-0.826465\pi\)
0.992035 0.125963i \(-0.0402019\pi\)
\(662\) 0.624557 0.453767i 0.0242741 0.0176362i
\(663\) 10.2494 + 22.1219i 0.398054 + 0.859142i
\(664\) −4.05245 + 12.4722i −0.157266 + 0.484014i
\(665\) 5.01578 + 11.2656i 0.194504 + 0.436863i
\(666\) 3.57581 + 3.97134i 0.138560 + 0.153886i
\(667\) −20.8893 + 4.44016i −0.808838 + 0.171924i
\(668\) −9.36715 + 12.8928i −0.362426 + 0.498837i
\(669\) 1.13924 + 5.35968i 0.0440454 + 0.207217i
\(670\) 1.66491 + 1.49909i 0.0643209 + 0.0579148i
\(671\) −1.95730 2.69399i −0.0755606 0.104000i
\(672\) 1.37128 1.52297i 0.0528984 0.0587497i
\(673\) −0.0255495 + 0.0113754i −0.000984860 + 0.000438488i −0.407229 0.913326i \(-0.633505\pi\)
0.406244 + 0.913765i \(0.366838\pi\)
\(674\) 1.79555 + 4.03288i 0.0691621 + 0.155341i
\(675\) −16.6950 + 12.1296i −0.642592 + 0.466870i
\(676\) −17.3942 18.1906i −0.669009 0.699638i
\(677\) 19.2601 0.740226 0.370113 0.928987i \(-0.379319\pi\)
0.370113 + 0.928987i \(0.379319\pi\)
\(678\) −0.961682 + 0.101077i −0.0369332 + 0.00388183i
\(679\) 7.93830 + 8.81638i 0.304644 + 0.338341i
\(680\) −13.1365 + 14.5896i −0.503762 + 0.559484i
\(681\) 22.1035i 0.847009i
\(682\) 0.326181 0.437371i 0.0124901 0.0167478i
\(683\) 2.11657 1.22200i 0.0809881 0.0467585i −0.458959 0.888457i \(-0.651778\pi\)
0.539947 + 0.841699i \(0.318444\pi\)
\(684\) −21.3729 + 6.94447i −0.817213 + 0.265529i
\(685\) 6.70763 1.42575i 0.256286 0.0544752i
\(686\) −0.244525 2.32650i −0.00933599 0.0888260i
\(687\) −21.5485 12.4410i −0.822125 0.474654i
\(688\) 13.0338 0.496908
\(689\) 22.6845 21.0495i 0.864209 0.801921i
\(690\) −1.77080 1.28656i −0.0674133 0.0489786i
\(691\) −11.7742 26.4454i −0.447913 1.00603i −0.986545 0.163488i \(-0.947725\pi\)
0.538632 0.842541i \(-0.318941\pi\)
\(692\) −6.05114 1.28621i −0.230030 0.0488944i
\(693\) −0.468401 0.208546i −0.0177931 0.00792199i
\(694\) −3.44969 + 1.12087i −0.130948 + 0.0425477i
\(695\) 7.61633 + 35.8320i 0.288904 + 1.35919i
\(696\) 7.82105 + 0.822026i 0.296456 + 0.0311588i
\(697\) 16.3910 + 5.32574i 0.620852 + 0.201727i
\(698\) −1.79716 + 0.381997i −0.0680233 + 0.0144588i
\(699\) 14.4012 6.41183i 0.544704 0.242518i
\(700\) 3.98578 3.58881i 0.150648 0.135644i
\(701\) 13.2140 + 40.6686i 0.499087 + 1.53603i 0.810490 + 0.585753i \(0.199201\pi\)
−0.311403 + 0.950278i \(0.600799\pi\)
\(702\) −4.52633 + 1.03326i −0.170835 + 0.0389979i
\(703\) −20.2259 62.2489i −0.762834 2.34776i
\(704\) −1.02533 2.30294i −0.0386438 0.0867953i
\(705\) −20.2244 + 9.00447i −0.761694 + 0.339128i
\(706\) 2.16733 + 0.964957i 0.0815685 + 0.0363166i
\(707\) 1.37079i 0.0515539i
\(708\) 7.11133 4.10573i 0.267260 0.154303i
\(709\) 5.23229 11.7519i 0.196503 0.441352i −0.788240 0.615368i \(-0.789008\pi\)
0.984743 + 0.174015i \(0.0556743\pi\)
\(710\) 9.30432 + 3.02316i 0.349185 + 0.113457i
\(711\) 10.7099 11.8946i 0.401654 0.446081i
\(712\) −0.152412 + 0.263985i −0.00571188 + 0.00989326i
\(713\) 15.4193 + 1.81537i 0.577459 + 0.0679861i
\(714\) −1.16890 −0.0437451
\(715\) 4.18672 + 0.376674i 0.156574 + 0.0140868i
\(716\) 7.19156 22.1334i 0.268761 0.827162i
\(717\) 11.2124 1.17847i 0.418736 0.0440109i
\(718\) 4.60952 7.98392i 0.172026 0.297957i
\(719\) −5.68361 9.84429i −0.211963 0.367130i 0.740366 0.672204i \(-0.234652\pi\)
−0.952329 + 0.305074i \(0.901319\pi\)
\(720\) 12.3946 + 17.0597i 0.461920 + 0.635778i
\(721\) 12.4942 + 1.31320i 0.465310 + 0.0489060i
\(722\) −4.26405 0.448170i −0.158691 0.0166791i
\(723\) −22.8320 + 7.41857i −0.849132 + 0.275900i
\(724\) 0.734612 + 0.327071i 0.0273017 + 0.0121555i
\(725\) 30.3609 + 6.45342i 1.12758 + 0.239674i
\(726\) 2.10350 1.89400i 0.0780681 0.0702928i
\(727\) −32.1426 23.3530i −1.19210 0.866115i −0.198619 0.980077i \(-0.563646\pi\)
−0.993485 + 0.113962i \(0.963646\pi\)
\(728\) 2.32150 0.792972i 0.0860406 0.0293895i
\(729\) 4.53736 13.9646i 0.168050 0.517206i
\(730\) 3.58415 + 8.05013i 0.132655 + 0.297949i
\(731\) −15.7908 17.5375i −0.584044 0.648647i
\(732\) −11.4844 + 12.7547i −0.424476 + 0.471429i
\(733\) −7.17701 9.87831i −0.265089 0.364864i 0.655635 0.755078i \(-0.272401\pi\)
−0.920724 + 0.390214i \(0.872401\pi\)
\(734\) 2.02991 + 1.82774i 0.0749253 + 0.0674631i
\(735\) −20.1655 2.11948i −0.743817 0.0781783i
\(736\) −4.76372 + 6.55670i −0.175593 + 0.241683i
\(737\) 1.04225 + 0.464038i 0.0383916 + 0.0170931i
\(738\) −0.643583 + 1.11472i −0.0236906 + 0.0410333i
\(739\) −1.14943 0.663622i −0.0422824 0.0244117i 0.478710 0.877973i \(-0.341105\pi\)
−0.520992 + 0.853561i \(0.674438\pi\)
\(740\) −51.4422 + 37.3750i −1.89105 + 1.37393i
\(741\) 21.8819 + 4.30932i 0.803852 + 0.158307i
\(742\) 0.458478 + 1.41105i 0.0168313 + 0.0518013i
\(743\) 13.8784 + 8.01273i 0.509151 + 0.293958i 0.732485 0.680784i \(-0.238361\pi\)
−0.223334 + 0.974742i \(0.571694\pi\)
\(744\) −5.19353 2.39037i −0.190404 0.0876354i
\(745\) −17.5443 30.3876i −0.642774 1.11332i
\(746\) 0.979961 0.318409i 0.0358789 0.0116578i
\(747\) −5.30252 24.9464i −0.194009 0.912741i
\(748\) −2.00014 + 4.49240i −0.0731325 + 0.164258i
\(749\) 5.25701i 0.192087i
\(750\) −0.371714 0.643828i −0.0135731 0.0235093i
\(751\) 1.40026 + 13.3226i 0.0510961 + 0.486147i 0.989907 + 0.141715i \(0.0452618\pi\)
−0.938811 + 0.344432i \(0.888072\pi\)
\(752\) 10.5030 + 23.5900i 0.383004 + 0.860240i
\(753\) 23.6728 + 17.1993i 0.862686 + 0.626778i
\(754\) 5.71049 + 4.01950i 0.207964 + 0.146382i