Properties

Label 441.2.z.a.142.47
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.47
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.47

$q$-expansion

\(f(q)\) \(=\) \(q+(0.796483 - 2.02941i) q^{2} +(1.67833 + 0.428020i) q^{3} +(-2.01800 - 1.87243i) q^{4} +(0.0340513 - 0.0163983i) q^{5} +(2.20539 - 3.06511i) q^{6} +(1.56656 + 2.13211i) q^{7} +(-1.47880 + 0.712152i) q^{8} +(2.63360 + 1.43672i) q^{9} +O(q^{10})\) \(q+(0.796483 - 2.02941i) q^{2} +(1.67833 + 0.428020i) q^{3} +(-2.01800 - 1.87243i) q^{4} +(0.0340513 - 0.0163983i) q^{5} +(2.20539 - 3.06511i) q^{6} +(1.56656 + 2.13211i) q^{7} +(-1.47880 + 0.712152i) q^{8} +(2.63360 + 1.43672i) q^{9} +(-0.00615741 - 0.0821649i) q^{10} +(-1.93823 - 2.43047i) q^{11} +(-2.58543 - 4.00630i) q^{12} +(0.517776 - 1.31927i) q^{13} +(5.57465 - 1.48099i) q^{14} +(0.0641682 - 0.0129471i) q^{15} +(-0.144038 - 1.92205i) q^{16} +(-0.288207 + 0.267417i) q^{17} +(5.01330 - 4.20031i) q^{18} +(0.0784099 - 0.135810i) q^{19} +(-0.0994200 - 0.0306670i) q^{20} +(1.71662 + 4.24891i) q^{21} +(-6.47618 + 1.99764i) q^{22} +(0.328297 - 1.43836i) q^{23} +(-2.78673 + 0.562272i) q^{24} +(-3.11656 + 3.90804i) q^{25} +(-2.26494 - 2.10156i) q^{26} +(3.80511 + 3.53853i) q^{27} +(0.830916 - 7.23586i) q^{28} +(-7.05116 - 2.17500i) q^{29} +(0.0248341 - 0.140535i) q^{30} +(-3.54110 + 6.13337i) q^{31} +(-7.15219 - 2.20616i) q^{32} +(-2.21271 - 4.90874i) q^{33} +(0.313145 + 0.797881i) q^{34} +(0.0883062 + 0.0469124i) q^{35} +(-2.62444 - 7.83052i) q^{36} +(6.77609 + 2.09015i) q^{37} +(-0.213161 - 0.267296i) q^{38} +(1.43368 - 1.99256i) q^{39} +(-0.0386770 + 0.0484994i) q^{40} +(2.56883 + 1.75140i) q^{41} +(9.99002 - 0.0995277i) q^{42} +(-4.11885 + 2.80818i) q^{43} +(-0.639526 + 8.53389i) q^{44} +(0.113237 + 0.00573583i) q^{45} +(-2.65754 - 1.81188i) q^{46} +(0.487063 - 1.24102i) q^{47} +(0.580933 - 3.28749i) q^{48} +(-2.09180 + 6.68015i) q^{49} +(5.44871 + 9.43745i) q^{50} +(-0.598166 + 0.325456i) q^{51} +(-3.51512 + 1.69279i) q^{52} +(-7.14239 + 2.20314i) q^{53} +(10.2118 - 4.90373i) q^{54} +(-0.105855 - 0.0509770i) q^{55} +(-3.83501 - 2.03734i) q^{56} +(0.189727 - 0.194373i) q^{57} +(-10.0301 + 12.5773i) q^{58} +(11.0167 - 7.51104i) q^{59} +(-0.153734 - 0.0940232i) q^{60} +(3.79195 - 3.51841i) q^{61} +(9.62667 + 12.0715i) q^{62} +(1.06243 + 7.86583i) q^{63} +(-7.77031 + 9.74366i) q^{64} +(-0.00400280 - 0.0534136i) q^{65} +(-11.7242 + 0.580762i) q^{66} +(-2.95590 + 5.11977i) q^{67} +1.08232 q^{68} +(1.16664 - 2.27353i) q^{69} +(0.165539 - 0.141844i) q^{70} +(-1.31625 + 5.76686i) q^{71} +(-4.91772 - 0.249098i) q^{72} +(-10.1909 - 1.53603i) q^{73} +(9.63880 - 12.0867i) q^{74} +(-6.90334 + 5.22504i) q^{75} +(-0.412525 + 0.127247i) q^{76} +(2.14568 - 7.94000i) q^{77} +(-2.90181 - 4.49655i) q^{78} +(-7.38578 - 12.7925i) q^{79} +(-0.0364229 - 0.0630864i) q^{80} +(4.87167 + 7.56748i) q^{81} +(5.60034 - 3.81824i) q^{82} +(4.37733 + 11.1533i) q^{83} +(4.49165 - 11.7885i) q^{84} +(-0.00542865 + 0.0138320i) q^{85} +(2.41835 + 10.5955i) q^{86} +(-10.9033 - 6.66841i) q^{87} +(4.59712 + 2.21386i) q^{88} +(-5.30744 - 13.5231i) q^{89} +(0.101832 - 0.225236i) q^{90} +(3.62396 - 0.962760i) q^{91} +(-3.35573 + 2.28790i) q^{92} +(-8.56836 + 8.77817i) q^{93} +(-2.13059 - 1.97690i) q^{94} +(0.000442915 - 0.00591029i) q^{95} +(-11.0595 - 6.76395i) q^{96} +(-3.43310 + 5.94631i) q^{97} +(11.8907 + 9.56573i) q^{98} +(-1.61263 - 9.18558i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 8q^{2} - 13q^{3} + 44q^{4} + 3q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 39q^{9} + O(q^{10}) \) \( 648q - 8q^{2} - 13q^{3} + 44q^{4} + 3q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 39q^{9} - 22q^{10} - 5q^{11} + 2q^{12} - 4q^{13} + 52q^{14} - 4q^{15} + 38q^{16} - 37q^{17} - 16q^{18} - 14q^{19} - 11q^{20} - 6q^{21} - q^{22} - 20q^{23} - 26q^{24} - 97q^{25} - 44q^{26} + 14q^{27} - 22q^{28} - 53q^{29} - 9q^{30} + 10q^{31} - 10q^{32} + 2q^{33} - 7q^{34} - 32q^{35} - 22q^{36} - 39q^{37} + 59q^{38} - 26q^{39} - 19q^{40} - 17q^{41} - 83q^{42} - q^{43} - 31q^{44} + 81q^{45} + 56q^{46} + 50q^{47} - 23q^{48} - 19q^{49} - 21q^{50} - 30q^{51} - 9q^{52} + 50q^{53} + 48q^{54} + 20q^{55} - 239q^{56} + 33q^{57} + 17q^{58} - 37q^{59} - 152q^{60} - 105q^{61} - 30q^{62} + 6q^{63} - 88q^{64} - 5q^{65} - 99q^{66} + 13q^{67} - 290q^{68} + 64q^{69} + 17q^{70} - 19q^{71} + 11q^{72} - 40q^{73} - 57q^{74} + 69q^{75} - 41q^{76} + 19q^{77} + 81q^{78} + 13q^{79} + 163q^{80} - 179q^{81} - 28q^{82} + 73q^{83} - 341q^{84} - 10q^{85} + 15q^{86} + 13q^{87} - 13q^{88} - 104q^{89} + 171q^{90} - 49q^{91} - 91q^{92} - 275q^{93} - 4q^{94} - 29q^{95} + 231q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.796483 2.02941i 0.563199 1.43501i −0.311456 0.950260i \(-0.600817\pi\)
0.874655 0.484746i \(-0.161088\pi\)
\(3\) 1.67833 + 0.428020i 0.968985 + 0.247118i
\(4\) −2.01800 1.87243i −1.00900 0.936214i
\(5\) 0.0340513 0.0163983i 0.0152282 0.00733352i −0.426254 0.904603i \(-0.640167\pi\)
0.441482 + 0.897270i \(0.354453\pi\)
\(6\) 2.20539 3.06511i 0.900347 1.25132i
\(7\) 1.56656 + 2.13211i 0.592103 + 0.805862i
\(8\) −1.47880 + 0.712152i −0.522834 + 0.251784i
\(9\) 2.63360 + 1.43672i 0.877866 + 0.478907i
\(10\) −0.00615741 0.0821649i −0.00194714 0.0259828i
\(11\) −1.93823 2.43047i −0.584400 0.732814i 0.398457 0.917187i \(-0.369546\pi\)
−0.982856 + 0.184373i \(0.940975\pi\)
\(12\) −2.58543 4.00630i −0.746350 1.15652i
\(13\) 0.517776 1.31927i 0.143605 0.365900i −0.840916 0.541166i \(-0.817983\pi\)
0.984521 + 0.175265i \(0.0560783\pi\)
\(14\) 5.57465 1.48099i 1.48989 0.395811i
\(15\) 0.0641682 0.0129471i 0.0165682 0.00334292i
\(16\) −0.144038 1.92205i −0.0360094 0.480513i
\(17\) −0.288207 + 0.267417i −0.0699004 + 0.0648581i −0.714349 0.699789i \(-0.753277\pi\)
0.644449 + 0.764647i \(0.277087\pi\)
\(18\) 5.01330 4.20031i 1.18165 0.990023i
\(19\) 0.0784099 0.135810i 0.0179885 0.0311569i −0.856891 0.515498i \(-0.827607\pi\)
0.874880 + 0.484341i \(0.160940\pi\)
\(20\) −0.0994200 0.0306670i −0.0222310 0.00685735i
\(21\) 1.71662 + 4.24891i 0.374596 + 0.927188i
\(22\) −6.47618 + 1.99764i −1.38073 + 0.425898i
\(23\) 0.328297 1.43836i 0.0684546 0.299919i −0.929099 0.369832i \(-0.879415\pi\)
0.997553 + 0.0699133i \(0.0222723\pi\)
\(24\) −2.78673 + 0.562272i −0.568839 + 0.114773i
\(25\) −3.11656 + 3.90804i −0.623312 + 0.781608i
\(26\) −2.26494 2.10156i −0.444191 0.412149i
\(27\) 3.80511 + 3.53853i 0.732293 + 0.680990i
\(28\) 0.830916 7.23586i 0.157028 1.36745i
\(29\) −7.05116 2.17500i −1.30937 0.403887i −0.439976 0.898010i \(-0.645013\pi\)
−0.869392 + 0.494123i \(0.835489\pi\)
\(30\) 0.0248341 0.140535i 0.00453406 0.0256581i
\(31\) −3.54110 + 6.13337i −0.636001 + 1.10159i 0.350301 + 0.936637i \(0.386079\pi\)
−0.986302 + 0.164949i \(0.947254\pi\)
\(32\) −7.15219 2.20616i −1.26434 0.389997i
\(33\) −2.21271 4.90874i −0.385184 0.854502i
\(34\) 0.313145 + 0.797881i 0.0537040 + 0.136835i
\(35\) 0.0883062 + 0.0469124i 0.0149265 + 0.00792964i
\(36\) −2.62444 7.83052i −0.437406 1.30509i
\(37\) 6.77609 + 2.09015i 1.11398 + 0.343618i 0.796495 0.604645i \(-0.206685\pi\)
0.317487 + 0.948263i \(0.397161\pi\)
\(38\) −0.213161 0.267296i −0.0345793 0.0433611i
\(39\) 1.43368 1.99256i 0.229572 0.319065i
\(40\) −0.0386770 + 0.0484994i −0.00611537 + 0.00766843i
\(41\) 2.56883 + 1.75140i 0.401184 + 0.273523i 0.747059 0.664758i \(-0.231465\pi\)
−0.345874 + 0.938281i \(0.612418\pi\)
\(42\) 9.99002 0.0995277i 1.54149 0.0153575i
\(43\) −4.11885 + 2.80818i −0.628119 + 0.428244i −0.835098 0.550101i \(-0.814589\pi\)
0.206979 + 0.978345i \(0.433637\pi\)
\(44\) −0.639526 + 8.53389i −0.0964122 + 1.28653i
\(45\) 0.113237 + 0.00573583i 0.0168804 + 0.000855047i
\(46\) −2.65754 1.81188i −0.391832 0.267147i
\(47\) 0.487063 1.24102i 0.0710454 0.181021i −0.890940 0.454120i \(-0.849954\pi\)
0.961986 + 0.273100i \(0.0880489\pi\)
\(48\) 0.580933 3.28749i 0.0838505 0.474508i
\(49\) −2.09180 + 6.68015i −0.298828 + 0.954307i
\(50\) 5.44871 + 9.43745i 0.770564 + 1.33466i
\(51\) −0.598166 + 0.325456i −0.0837600 + 0.0455729i
\(52\) −3.51512 + 1.69279i −0.487459 + 0.234748i
\(53\) −7.14239 + 2.20314i −0.981083 + 0.302624i −0.743495 0.668742i \(-0.766833\pi\)
−0.237589 + 0.971366i \(0.576357\pi\)
\(54\) 10.2118 4.90373i 1.38965 0.667313i
\(55\) −0.105855 0.0509770i −0.0142735 0.00687374i
\(56\) −3.83501 2.03734i −0.512475 0.272250i
\(57\) 0.189727 0.194373i 0.0251300 0.0257454i
\(58\) −10.0301 + 12.5773i −1.31701 + 1.65148i
\(59\) 11.0167 7.51104i 1.43425 0.977854i 0.437338 0.899297i \(-0.355921\pi\)
0.996910 0.0785566i \(-0.0250311\pi\)
\(60\) −0.153734 0.0940232i −0.0198469 0.0121383i
\(61\) 3.79195 3.51841i 0.485509 0.450487i −0.399040 0.916934i \(-0.630657\pi\)
0.884549 + 0.466447i \(0.154466\pi\)
\(62\) 9.62667 + 12.0715i 1.22259 + 1.53308i
\(63\) 1.06243 + 7.86583i 0.133854 + 0.991001i
\(64\) −7.77031 + 9.74366i −0.971288 + 1.21796i
\(65\) −0.00400280 0.0534136i −0.000496486 0.00662514i
\(66\) −11.7242 + 0.580762i −1.44315 + 0.0714869i
\(67\) −2.95590 + 5.11977i −0.361121 + 0.625479i −0.988146 0.153520i \(-0.950939\pi\)
0.627025 + 0.778999i \(0.284272\pi\)
\(68\) 1.08232 0.131250
\(69\) 1.16664 2.27353i 0.140447 0.273701i
\(70\) 0.165539 0.141844i 0.0197857 0.0169536i
\(71\) −1.31625 + 5.76686i −0.156210 + 0.684400i 0.834793 + 0.550563i \(0.185587\pi\)
−0.991003 + 0.133837i \(0.957270\pi\)
\(72\) −4.91772 0.249098i −0.579559 0.0293565i
\(73\) −10.1909 1.53603i −1.19276 0.179779i −0.477494 0.878635i \(-0.658455\pi\)
−0.715262 + 0.698856i \(0.753693\pi\)
\(74\) 9.63880 12.0867i 1.12049 1.40505i
\(75\) −6.90334 + 5.22504i −0.797129 + 0.603336i
\(76\) −0.412525 + 0.127247i −0.0473199 + 0.0145963i
\(77\) 2.14568 7.94000i 0.244522 0.904847i
\(78\) −2.90181 4.49655i −0.328566 0.509134i
\(79\) −7.38578 12.7925i −0.830965 1.43927i −0.897274 0.441475i \(-0.854455\pi\)
0.0663081 0.997799i \(-0.478878\pi\)
\(80\) −0.0364229 0.0630864i −0.00407221 0.00705327i
\(81\) 4.87167 + 7.56748i 0.541297 + 0.840832i
\(82\) 5.60034 3.81824i 0.618454 0.421655i
\(83\) 4.37733 + 11.1533i 0.480475 + 1.22423i 0.941551 + 0.336869i \(0.109368\pi\)
−0.461077 + 0.887360i \(0.652537\pi\)
\(84\) 4.49165 11.7885i 0.490079 1.28623i
\(85\) −0.00542865 + 0.0138320i −0.000588820 + 0.00150029i
\(86\) 2.41835 + 10.5955i 0.260777 + 1.14254i
\(87\) −10.9033 6.66841i −1.16895 0.714928i
\(88\) 4.59712 + 2.21386i 0.490055 + 0.235998i
\(89\) −5.30744 13.5231i −0.562588 1.43345i −0.875290 0.483599i \(-0.839329\pi\)
0.312702 0.949851i \(-0.398766\pi\)
\(90\) 0.101832 0.225236i 0.0107340 0.0237419i
\(91\) 3.62396 0.962760i 0.379895 0.100925i
\(92\) −3.35573 + 2.28790i −0.349859 + 0.238530i
\(93\) −8.56836 + 8.77817i −0.888497 + 0.910254i
\(94\) −2.13059 1.97690i −0.219753 0.203901i
\(95\) 0.000442915 0.00591029i 4.54421e−5 0.000606383i
\(96\) −11.0595 6.76395i −1.12875 0.690342i
\(97\) −3.43310 + 5.94631i −0.348579 + 0.603756i −0.985997 0.166762i \(-0.946669\pi\)
0.637418 + 0.770518i \(0.280002\pi\)
\(98\) 11.8907 + 9.56573i 1.20114 + 0.966284i
\(99\) −1.61263 9.18558i −0.162075 0.923185i
\(100\) 13.6067 2.05089i 1.36067 0.205089i
\(101\) 13.7425 6.61806i 1.36743 0.658521i 0.401152 0.916011i \(-0.368610\pi\)
0.966281 + 0.257490i \(0.0828955\pi\)
\(102\) 0.184052 + 1.47314i 0.0182239 + 0.145863i
\(103\) 1.17454 0.565629i 0.115731 0.0557331i −0.375122 0.926975i \(-0.622399\pi\)
0.490853 + 0.871242i \(0.336685\pi\)
\(104\) 0.173836 + 2.31967i 0.0170460 + 0.227463i
\(105\) 0.128128 + 0.116531i 0.0125040 + 0.0113723i
\(106\) −1.21774 + 16.2496i −0.118277 + 1.57830i
\(107\) 2.81097 + 7.16223i 0.271746 + 0.692398i 0.999975 + 0.00706424i \(0.00224864\pi\)
−0.728229 + 0.685334i \(0.759656\pi\)
\(108\) −1.05306 14.2655i −0.101331 1.37270i
\(109\) 0.453150 1.15461i 0.0434039 0.110591i −0.907528 0.419991i \(-0.862033\pi\)
0.950932 + 0.309400i \(0.100128\pi\)
\(110\) −0.187765 + 0.174220i −0.0179027 + 0.0166112i
\(111\) 10.4779 + 6.40826i 0.994519 + 0.608246i
\(112\) 3.87238 3.31811i 0.365906 0.313532i
\(113\) 11.8573 + 1.78719i 1.11544 + 0.168125i 0.680792 0.732477i \(-0.261636\pi\)
0.434645 + 0.900602i \(0.356874\pi\)
\(114\) −0.243347 0.539848i −0.0227916 0.0505614i
\(115\) −0.0124077 0.0543616i −0.00115702 0.00506924i
\(116\) 10.1567 + 17.5919i 0.943027 + 1.63337i
\(117\) 3.25904 2.73053i 0.301298 0.252438i
\(118\) −6.46835 28.3397i −0.595460 2.60888i
\(119\) −1.02165 0.195565i −0.0936549 0.0179274i
\(120\) −0.0856716 + 0.0648436i −0.00782071 + 0.00591938i
\(121\) 0.297303 1.30257i 0.0270275 0.118415i
\(122\) −4.12007 10.4978i −0.373013 0.950422i
\(123\) 3.56172 + 4.03895i 0.321150 + 0.364180i
\(124\) 18.6302 5.74667i 1.67304 0.516066i
\(125\) −0.0840878 + 0.368413i −0.00752104 + 0.0329518i
\(126\) 16.8092 + 4.10889i 1.49748 + 0.366049i
\(127\) 1.97199 + 8.63984i 0.174986 + 0.766662i 0.983898 + 0.178732i \(0.0571996\pi\)
−0.808912 + 0.587930i \(0.799943\pi\)
\(128\) 6.10020 + 10.5659i 0.539187 + 0.933898i
\(129\) −8.11476 + 2.95011i −0.714464 + 0.259743i
\(130\) −0.111586 0.0344197i −0.00978674 0.00301881i
\(131\) −7.71199 3.71390i −0.673800 0.324485i 0.0655084 0.997852i \(-0.479133\pi\)
−0.739308 + 0.673367i \(0.764847\pi\)
\(132\) −4.72601 + 14.0490i −0.411347 + 1.22281i
\(133\) 0.412396 0.0455754i 0.0357592 0.00395189i
\(134\) 8.03576 + 10.0765i 0.694184 + 0.870479i
\(135\) 0.187595 + 0.0580944i 0.0161456 + 0.00499997i
\(136\) 0.235758 0.600702i 0.0202161 0.0515098i
\(137\) −8.50874 4.09759i −0.726951 0.350081i 0.0335333 0.999438i \(-0.489324\pi\)
−0.760484 + 0.649357i \(0.775038\pi\)
\(138\) −3.68471 4.17841i −0.313663 0.355690i
\(139\) 2.99627 + 2.04282i 0.254140 + 0.173270i 0.683688 0.729774i \(-0.260375\pi\)
−0.429548 + 0.903044i \(0.641327\pi\)
\(140\) −0.0903617 0.260016i −0.00763696 0.0219754i
\(141\) 1.34863 1.87436i 0.113575 0.157850i
\(142\) 10.6549 + 7.26441i 0.894142 + 0.609615i
\(143\) −4.21002 + 1.29862i −0.352060 + 0.108596i
\(144\) 2.38211 5.26885i 0.198509 0.439071i
\(145\) −0.275768 + 0.0415653i −0.0229012 + 0.00345181i
\(146\) −11.2341 + 19.4581i −0.929742 + 1.61036i
\(147\) −6.36997 + 10.3162i −0.525386 + 0.850864i
\(148\) −9.76048 16.9057i −0.802307 1.38964i
\(149\) 0.167802 + 0.210416i 0.0137468 + 0.0172380i 0.788657 0.614833i \(-0.210777\pi\)
−0.774911 + 0.632071i \(0.782205\pi\)
\(150\) 5.10533 + 18.1713i 0.416849 + 1.48368i
\(151\) −1.57051 + 6.88085i −0.127806 + 0.559956i 0.869958 + 0.493126i \(0.164146\pi\)
−0.997764 + 0.0668301i \(0.978711\pi\)
\(152\) −0.0192352 + 0.256675i −0.00156018 + 0.0208191i
\(153\) −1.14322 + 0.290196i −0.0924241 + 0.0234609i
\(154\) −14.4045 10.6785i −1.16075 0.860500i
\(155\) −0.0200027 + 0.266917i −0.00160665 + 0.0214393i
\(156\) −6.62408 + 1.33652i −0.530351 + 0.107008i
\(157\) 11.7961 8.04242i 0.941428 0.641855i 0.00775077 0.999970i \(-0.497533\pi\)
0.933677 + 0.358115i \(0.116580\pi\)
\(158\) −31.8439 + 4.79970i −2.53337 + 0.381844i
\(159\) −12.9303 + 0.640506i −1.02544 + 0.0507954i
\(160\) −0.279719 + 0.0421608i −0.0221137 + 0.00333310i
\(161\) 3.58104 1.55331i 0.282226 0.122418i
\(162\) 19.2377 3.85922i 1.51146 0.303209i
\(163\) 10.0470 6.84994i 0.786943 0.536529i −0.101870 0.994798i \(-0.532483\pi\)
0.888814 + 0.458269i \(0.151530\pi\)
\(164\) −1.90453 8.34428i −0.148719 0.651579i
\(165\) −0.155840 0.130864i −0.0121322 0.0101878i
\(166\) 26.1210 2.02738
\(167\) 3.91554 3.63309i 0.302994 0.281137i −0.513992 0.857795i \(-0.671834\pi\)
0.816986 + 0.576658i \(0.195643\pi\)
\(168\) −5.56440 5.06079i −0.429303 0.390448i
\(169\) 8.05729 + 7.47607i 0.619791 + 0.575082i
\(170\) 0.0237469 + 0.0220339i 0.00182130 + 0.00168992i
\(171\) 0.401621 0.245016i 0.0307127 0.0187368i
\(172\) 13.5700 + 2.04534i 1.03470 + 0.155956i
\(173\) −10.3816 + 3.20229i −0.789295 + 0.243465i −0.663091 0.748539i \(-0.730756\pi\)
−0.126204 + 0.992004i \(0.540279\pi\)
\(174\) −22.2172 + 16.8158i −1.68428 + 1.27481i
\(175\) −13.2146 0.522680i −0.998933 0.0395109i
\(176\) −4.39231 + 4.07546i −0.331082 + 0.307200i
\(177\) 21.7045 7.89066i 1.63141 0.593098i
\(178\) −31.6712 −2.37386
\(179\) 10.9335 10.1448i 0.817208 0.758258i −0.156105 0.987740i \(-0.549894\pi\)
0.973313 + 0.229482i \(0.0737033\pi\)
\(180\) −0.217772 0.223603i −0.0162318 0.0166664i
\(181\) 1.09086 1.36790i 0.0810832 0.101675i −0.739635 0.673008i \(-0.765002\pi\)
0.820718 + 0.571333i \(0.193573\pi\)
\(182\) 0.932595 8.12131i 0.0691286 0.601992i
\(183\) 7.87010 4.28204i 0.581775 0.316537i
\(184\) 0.538847 + 2.36084i 0.0397243 + 0.174044i
\(185\) 0.265010 0.0399438i 0.0194839 0.00293672i
\(186\) 10.9899 + 24.3803i 0.805820 + 1.78765i
\(187\) 1.20856 + 0.182161i 0.0883787 + 0.0133209i
\(188\) −3.30661 + 1.59238i −0.241159 + 0.116136i
\(189\) −1.58362 + 13.6562i −0.115191 + 0.993343i
\(190\) −0.0116416 0.00560630i −0.000844571 0.000406724i
\(191\) −6.03525 4.11476i −0.436695 0.297734i 0.324946 0.945733i \(-0.394654\pi\)
−0.761641 + 0.647999i \(0.775606\pi\)
\(192\) −17.2116 + 13.0272i −1.24214 + 0.940160i
\(193\) 0.384546 5.13141i 0.0276802 0.369367i −0.966113 0.258121i \(-0.916897\pi\)
0.993793 0.111246i \(-0.0354843\pi\)
\(194\) 9.33306 + 11.7033i 0.670075 + 0.840247i
\(195\) 0.0161441 0.0913591i 0.00115610 0.00654236i
\(196\) 16.7293 9.56379i 1.19495 0.683128i
\(197\) −15.8760 −1.13112 −0.565559 0.824708i \(-0.691340\pi\)
−0.565559 + 0.824708i \(0.691340\pi\)
\(198\) −19.9257 4.04349i −1.41606 0.287358i
\(199\) −2.82136 1.92357i −0.200001 0.136358i 0.459178 0.888344i \(-0.348144\pi\)
−0.659179 + 0.751986i \(0.729096\pi\)
\(200\) 1.82564 7.99867i 0.129092 0.565591i
\(201\) −7.15234 + 7.32749i −0.504487 + 0.516841i
\(202\) −2.48502 33.1603i −0.174846 2.33315i
\(203\) −6.40872 18.4411i −0.449804 1.29431i
\(204\) 1.81649 + 0.463254i 0.127180 + 0.0324343i
\(205\) 0.116192 + 0.0175131i 0.00811521 + 0.00122317i
\(206\) −0.212389 2.83414i −0.0147978 0.197464i
\(207\) 2.93112 3.31639i 0.203727 0.230505i
\(208\) −2.61029 0.805167i −0.180991 0.0558283i
\(209\) −0.482059 + 0.0726587i −0.0333447 + 0.00502590i
\(210\) 0.338541 0.167208i 0.0233616 0.0115384i
\(211\) 1.78432 + 0.268944i 0.122838 + 0.0185148i 0.210173 0.977664i \(-0.432597\pi\)
−0.0873355 + 0.996179i \(0.527835\pi\)
\(212\) 18.5386 + 8.92770i 1.27323 + 0.613157i
\(213\) −4.67743 + 9.11532i −0.320492 + 0.624572i
\(214\) 16.7739 1.14664
\(215\) −0.0942030 + 0.163164i −0.00642459 + 0.0111277i
\(216\) −8.14695 2.52295i −0.554330 0.171665i
\(217\) −18.6244 + 2.05825i −1.26430 + 0.139723i
\(218\) −1.98224 1.83925i −0.134254 0.124570i
\(219\) −16.4463 6.93989i −1.11134 0.468954i
\(220\) 0.118164 + 0.301077i 0.00796662 + 0.0202986i
\(221\) 0.203569 + 0.518685i 0.0136935 + 0.0348905i
\(222\) 21.3504 16.1598i 1.43295 1.08458i
\(223\) −20.9192 19.4102i −1.40086 1.29980i −0.901082 0.433648i \(-0.857226\pi\)
−0.499773 0.866156i \(-0.666583\pi\)
\(224\) −6.50054 18.7053i −0.434335 1.24980i
\(225\) −13.8225 + 5.81458i −0.921501 + 0.387639i
\(226\) 13.0710 22.6397i 0.869473 1.50597i
\(227\) 19.1373 1.27019 0.635093 0.772435i \(-0.280962\pi\)
0.635093 + 0.772435i \(0.280962\pi\)
\(228\) −0.746819 + 0.0369939i −0.0494593 + 0.00244998i
\(229\) −6.62370 3.18981i −0.437707 0.210788i 0.202035 0.979378i \(-0.435244\pi\)
−0.639742 + 0.768590i \(0.720959\pi\)
\(230\) −0.120204 0.0181179i −0.00792603 0.00119466i
\(231\) 6.99964 12.4076i 0.460542 0.816358i
\(232\) 11.9762 1.80512i 0.786274 0.118512i
\(233\) −29.0806 8.97017i −1.90513 0.587655i −0.975930 0.218084i \(-0.930019\pi\)
−0.929202 0.369572i \(-0.879504\pi\)
\(234\) −2.94559 8.78874i −0.192559 0.574538i
\(235\) −0.00376536 0.0502452i −0.000245625 0.00327764i
\(236\) −36.2955 5.47066i −2.36264 0.356110i
\(237\) −6.92033 24.6314i −0.449523 1.59998i
\(238\) −1.21061 + 1.91759i −0.0784723 + 0.124299i
\(239\) −1.69669 22.6408i −0.109750 1.46451i −0.731792 0.681528i \(-0.761316\pi\)
0.622042 0.782984i \(-0.286303\pi\)
\(240\) −0.0341275 0.121470i −0.00220292 0.00784083i
\(241\) 1.38444 6.06564i 0.0891798 0.390722i −0.910564 0.413369i \(-0.864352\pi\)
0.999744 + 0.0226465i \(0.00720921\pi\)
\(242\) −2.40664 1.64082i −0.154705 0.105476i
\(243\) 4.93724 + 14.7859i 0.316724 + 0.948518i
\(244\) −14.2401 −0.911631
\(245\) 0.0383143 + 0.261770i 0.00244781 + 0.0167239i
\(246\) 11.0335 4.01123i 0.703471 0.255746i
\(247\) −0.138572 0.173763i −0.00881710 0.0110563i
\(248\) 0.868687 11.5918i 0.0551617 0.736081i
\(249\) 2.57280 + 20.5925i 0.163044 + 1.30499i
\(250\) 0.680684 + 0.464083i 0.0430503 + 0.0293512i
\(251\) 0.485748 + 0.233924i 0.0306602 + 0.0147652i 0.449151 0.893456i \(-0.351727\pi\)
−0.418491 + 0.908221i \(0.637441\pi\)
\(252\) 12.5842 17.8626i 0.792731 1.12524i
\(253\) −4.13221 + 1.98997i −0.259790 + 0.125108i
\(254\) 19.1044 + 2.87952i 1.19872 + 0.180677i
\(255\) −0.0150314 + 0.0208911i −0.000941305 + 0.00130825i
\(256\) 1.65430 0.249345i 0.103394 0.0155841i
\(257\) 3.48744 + 15.2795i 0.217540 + 0.953107i 0.959288 + 0.282428i \(0.0911399\pi\)
−0.741748 + 0.670679i \(0.766003\pi\)
\(258\) −0.476287 + 18.8178i −0.0296523 + 1.17155i
\(259\) 6.15871 + 17.7217i 0.382683 + 1.10117i
\(260\) −0.0919355 + 0.115284i −0.00570160 + 0.00714958i
\(261\) −15.4451 15.8586i −0.956025 0.981623i
\(262\) −13.6795 + 12.6927i −0.845121 + 0.784158i
\(263\) 5.43837 0.335344 0.167672 0.985843i \(-0.446375\pi\)
0.167672 + 0.985843i \(0.446375\pi\)
\(264\) 6.76792 + 5.68325i 0.416537 + 0.349780i
\(265\) −0.207080 + 0.192143i −0.0127208 + 0.0118032i
\(266\) 0.235975 0.873218i 0.0144686 0.0535404i
\(267\) −3.11947 24.9680i −0.190909 1.52802i
\(268\) 15.5514 4.79697i 0.949953 0.293022i
\(269\) −7.39279 1.11428i −0.450746 0.0679391i −0.0802536 0.996774i \(-0.525573\pi\)
−0.370493 + 0.928835i \(0.620811\pi\)
\(270\) 0.267313 0.334434i 0.0162681 0.0203530i
\(271\) 15.2855 + 14.1829i 0.928531 + 0.861551i 0.990637 0.136519i \(-0.0435915\pi\)
−0.0621068 + 0.998070i \(0.519782\pi\)
\(272\) 0.555501 + 0.515430i 0.0336822 + 0.0312525i
\(273\) 6.49429 0.0647008i 0.393053 0.00391587i
\(274\) −15.0927 + 14.0040i −0.911786 + 0.846014i
\(275\) 15.5390 0.937037
\(276\) −6.61130 + 2.40353i −0.397953 + 0.144676i
\(277\) 4.34452 + 19.0346i 0.261037 + 1.14368i 0.920129 + 0.391615i \(0.128083\pi\)
−0.659092 + 0.752062i \(0.729059\pi\)
\(278\) 6.53219 4.45357i 0.391775 0.267108i
\(279\) −18.1378 + 11.0653i −1.08588 + 0.662460i
\(280\) −0.163996 0.00648654i −0.00980063 0.000387645i
\(281\) −27.8414 + 4.19641i −1.66088 + 0.250337i −0.911348 0.411636i \(-0.864958\pi\)
−0.749528 + 0.661973i \(0.769719\pi\)
\(282\) −2.72968 4.22982i −0.162550 0.251882i
\(283\) 29.4174 4.43396i 1.74868 0.263572i 0.804729 0.593643i \(-0.202311\pi\)
0.943956 + 0.330071i \(0.107073\pi\)
\(284\) 13.4542 9.17293i 0.798361 0.544313i
\(285\) 0.00327308 0.00972986i 0.000193881 0.000576347i
\(286\) −0.717785 + 9.57818i −0.0424435 + 0.566369i
\(287\) 0.290043 + 8.22071i 0.0171207 + 0.485253i
\(288\) −15.6664 16.0858i −0.923149 0.947866i
\(289\) −1.25886 + 16.7983i −0.0740506 + 0.988137i
\(290\) −0.135291 + 0.592750i −0.00794458 + 0.0348075i
\(291\) −8.30703 + 8.51044i −0.486967 + 0.498891i
\(292\) 17.6891 + 22.1815i 1.03518 + 1.29807i
\(293\) −10.0052 17.3294i −0.584508 1.01240i −0.994937 0.100504i \(-0.967954\pi\)
0.410429 0.911893i \(-0.365379\pi\)
\(294\) 15.8621 + 21.1439i 0.925099 + 1.23314i
\(295\) 0.251964 0.436415i 0.0146699 0.0254091i
\(296\) −11.5090 + 1.73470i −0.668945 + 0.100827i
\(297\) 1.22509 16.1067i 0.0710871 0.934605i
\(298\) 0.560671 0.172944i 0.0324788 0.0100184i
\(299\) −1.72761 1.17786i −0.0999101 0.0681175i
\(300\) 23.7144 + 2.38189i 1.36915 + 0.137519i
\(301\) −12.4398 4.38266i −0.717017 0.252613i
\(302\) 12.7132 + 8.66768i 0.731560 + 0.498769i
\(303\) 25.8972 5.22521i 1.48776 0.300181i
\(304\) −0.272328 0.131146i −0.0156191 0.00752174i
\(305\) 0.0714250 0.181988i 0.00408978 0.0104206i
\(306\) −0.321633 + 2.55120i −0.0183866 + 0.145842i
\(307\) 20.4721 + 25.6712i 1.16841 + 1.46514i 0.857343 + 0.514746i \(0.172114\pi\)
0.311064 + 0.950389i \(0.399315\pi\)
\(308\) −19.1971 + 12.0053i −1.09385 + 0.684064i
\(309\) 2.21337 0.446586i 0.125914 0.0254054i
\(310\) 0.525752 + 0.253189i 0.0298607 + 0.0143801i
\(311\) 0.865667 + 0.267023i 0.0490875 + 0.0151415i 0.319202 0.947687i \(-0.396585\pi\)
−0.270114 + 0.962828i \(0.587061\pi\)
\(312\) −0.701114 + 3.96759i −0.0396927 + 0.224620i
\(313\) −13.3744 23.1651i −0.755964 1.30937i −0.944893 0.327378i \(-0.893835\pi\)
0.188929 0.981991i \(-0.439498\pi\)
\(314\) −6.92597 30.3446i −0.390855 1.71245i
\(315\) 0.165163 + 0.250420i 0.00930589 + 0.0141096i
\(316\) −9.04864 + 39.6447i −0.509026 + 2.23019i
\(317\) 13.5877 4.19127i 0.763164 0.235405i 0.111347 0.993782i \(-0.464483\pi\)
0.651817 + 0.758377i \(0.274007\pi\)
\(318\) −8.99891 + 26.7510i −0.504634 + 1.50012i
\(319\) 8.38055 + 21.3533i 0.469221 + 1.19555i
\(320\) −0.104810 + 0.459204i −0.00585907 + 0.0256703i
\(321\) 1.65216 + 13.2237i 0.0922145 + 0.738077i
\(322\) −0.300058 8.50457i −0.0167216 0.473941i
\(323\) 0.0137196 + 0.0601094i 0.000763378 + 0.00334458i
\(324\) 4.33855 24.3930i 0.241031 1.35517i
\(325\) 3.54209 + 6.13508i 0.196480 + 0.340313i
\(326\) −5.89903 25.8453i −0.326717 1.43144i
\(327\) 1.25473 1.74386i 0.0693867 0.0964354i
\(328\) −5.04605 0.760570i −0.278622 0.0419954i
\(329\) 3.40900 0.905650i 0.187944 0.0499301i
\(330\) −0.389701 + 0.212032i −0.0214523 + 0.0116720i
\(331\) 16.7891 15.5780i 0.922810 0.856243i −0.0671276 0.997744i \(-0.521383\pi\)
0.989938 + 0.141501i \(0.0451930\pi\)
\(332\) 12.0502 30.7035i 0.661343 1.68507i
\(333\) 14.8425 + 15.2400i 0.813366 + 0.835144i
\(334\) −4.25436 10.8399i −0.232788 0.593134i
\(335\) −0.0166970 + 0.222806i −0.000912256 + 0.0121732i
\(336\) 7.91936 3.91143i 0.432037 0.213386i
\(337\) −2.46042 32.8320i −0.134028 1.78847i −0.508326 0.861165i \(-0.669735\pi\)
0.374298 0.927308i \(-0.377884\pi\)
\(338\) 21.5895 10.3969i 1.17431 0.565519i
\(339\) 19.1355 + 8.07465i 1.03929 + 0.438555i
\(340\) 0.0368544 0.0177481i 0.00199871 0.000962528i
\(341\) 21.7705 3.28137i 1.17894 0.177696i
\(342\) −0.177352 1.01020i −0.00959008 0.0546255i
\(343\) −17.5197 + 6.00489i −0.945977 + 0.324234i
\(344\) 4.09109 7.08598i 0.220577 0.382051i
\(345\) 0.00244365 0.0965475i 0.000131562 0.00519794i
\(346\) −1.77000 + 23.6190i −0.0951556 + 1.26976i
\(347\) −0.388671 0.360634i −0.0208649 0.0193598i 0.669671 0.742658i \(-0.266435\pi\)
−0.690536 + 0.723298i \(0.742625\pi\)
\(348\) 9.51663 + 33.8724i 0.510145 + 1.81575i
\(349\) 3.84847 2.62384i 0.206004 0.140451i −0.455924 0.890019i \(-0.650691\pi\)
0.661927 + 0.749568i \(0.269739\pi\)
\(350\) −11.5860 + 26.4016i −0.619296 + 1.41122i
\(351\) 6.63848 3.18781i 0.354336 0.170153i
\(352\) 8.50062 + 21.6592i 0.453084 + 1.15444i
\(353\) 25.4839 + 12.2724i 1.35637 + 0.653193i 0.963824 0.266540i \(-0.0858805\pi\)
0.392545 + 0.919733i \(0.371595\pi\)
\(354\) 1.27392 50.3320i 0.0677082 2.67512i
\(355\) 0.0497464 + 0.217953i 0.00264027 + 0.0115678i
\(356\) −14.6107 + 37.2275i −0.774366 + 1.97305i
\(357\) −1.63097 0.765512i −0.0863201 0.0405152i
\(358\) −11.8796 30.2687i −0.627855 1.59975i
\(359\) 20.2460 13.8035i 1.06854 0.728522i 0.104571 0.994517i \(-0.466653\pi\)
0.963974 + 0.265996i \(0.0857008\pi\)
\(360\) −0.171540 + 0.0721599i −0.00904094 + 0.00380316i
\(361\) 9.48770 + 16.4332i 0.499353 + 0.864904i
\(362\) −1.90717 3.30331i −0.100238 0.173618i
\(363\) 1.05650 2.05889i 0.0554518 0.108064i
\(364\) −9.11585 4.84276i −0.477800 0.253830i
\(365\) −0.372202 + 0.114809i −0.0194820 + 0.00600939i
\(366\) −2.42159 19.3822i −0.126578 1.01312i
\(367\) 11.8130 14.8130i 0.616634 0.773234i −0.371233 0.928540i \(-0.621065\pi\)
0.987866 + 0.155306i \(0.0496363\pi\)
\(368\) −2.81189 0.423824i −0.146580 0.0220934i
\(369\) 4.24900 + 8.30318i 0.221194 + 0.432246i
\(370\) 0.130014 0.569626i 0.00675908 0.0296135i
\(371\) −15.8863 11.7770i −0.824776 0.611433i
\(372\) 33.7274 1.67070i 1.74869 0.0866216i
\(373\) −15.4534 −0.800147 −0.400073 0.916483i \(-0.631015\pi\)
−0.400073 + 0.916483i \(0.631015\pi\)
\(374\) 1.33228 2.30757i 0.0688904 0.119322i
\(375\) −0.298815 + 0.582328i −0.0154308 + 0.0300713i
\(376\) 0.163524 + 2.18207i 0.00843310 + 0.112532i
\(377\) −6.52034 + 8.17625i −0.335815 + 0.421098i
\(378\) 26.4527 + 14.0907i 1.36058 + 0.724749i
\(379\) 21.0612 + 26.4099i 1.08184 + 1.35658i 0.929739 + 0.368219i \(0.120032\pi\)
0.152100 + 0.988365i \(0.451396\pi\)
\(380\) −0.0119604 + 0.0110976i −0.000613556 + 0.000569297i
\(381\) −0.388377 + 15.3446i −0.0198972 + 0.786126i
\(382\) −13.1575 + 8.97063i −0.673196 + 0.458977i
\(383\) −9.22953 + 11.5735i −0.471607 + 0.591377i −0.959564 0.281491i \(-0.909171\pi\)
0.487957 + 0.872868i \(0.337742\pi\)
\(384\) 5.71576 + 20.3440i 0.291681 + 1.03818i
\(385\) −0.0571391 0.305553i −0.00291208 0.0155724i
\(386\) −10.1074 4.86748i −0.514455 0.247748i
\(387\) −14.8820 + 1.47799i −0.756493 + 0.0751305i
\(388\) 18.0620 5.57140i 0.916961 0.282845i
\(389\) −22.2108 + 10.6961i −1.12613 + 0.542316i −0.901781 0.432193i \(-0.857740\pi\)
−0.224349 + 0.974509i \(0.572026\pi\)
\(390\) −0.172546 0.105529i −0.00873721 0.00534366i
\(391\) 0.290024 + 0.502337i 0.0146672 + 0.0254043i
\(392\) −1.66393 11.3683i −0.0840414 0.574184i
\(393\) −11.3537 9.53405i −0.572716 0.480929i
\(394\) −12.6450 + 32.2188i −0.637044 + 1.62316i
\(395\) −0.461271 0.314489i −0.0232091 0.0158237i
\(396\) −13.9451 + 21.5560i −0.700766 + 1.08323i
\(397\) 0.961555 12.8311i 0.0482591 0.643973i −0.919661 0.392714i \(-0.871536\pi\)
0.967920 0.251259i \(-0.0808446\pi\)
\(398\) −6.15087 + 4.19359i −0.308315 + 0.210206i
\(399\) 0.711644 + 0.100023i 0.0356268 + 0.00500741i
\(400\) 7.96035 + 5.42728i 0.398018 + 0.271364i
\(401\) 8.35568 10.4777i 0.417263 0.523231i −0.528131 0.849163i \(-0.677107\pi\)
0.945393 + 0.325933i \(0.105678\pi\)
\(402\) 9.17372 + 20.3512i 0.457544 + 1.01503i
\(403\) 6.25809 + 7.84740i 0.311738 + 0.390907i
\(404\) −40.1242 12.3767i −1.99626 0.615763i
\(405\) 0.289980 + 0.177796i 0.0144092 + 0.00883475i
\(406\) −42.5289 1.68215i −2.11068 0.0834837i
\(407\) −8.05361 20.5203i −0.399203 1.01715i
\(408\) 0.652793 0.907268i 0.0323181 0.0449165i
\(409\) 33.0155 + 10.1839i 1.63251 + 0.503563i 0.969509 0.245055i \(-0.0788061\pi\)
0.663001 + 0.748618i \(0.269282\pi\)
\(410\) 0.128086 0.221852i 0.00632573 0.0109565i
\(411\) −12.5266 10.5190i −0.617894 0.518866i
\(412\) −3.42932 1.05781i −0.168951 0.0521144i
\(413\) 33.2726 + 11.7223i 1.63724 + 0.576816i
\(414\) −4.39572 8.58989i −0.216038 0.422170i
\(415\) 0.331948 + 0.308003i 0.0162947 + 0.0151193i
\(416\) −6.61376 + 8.29339i −0.324266 + 0.406617i
\(417\) 4.15437 + 4.71100i 0.203440 + 0.230699i
\(418\) −0.236498 + 1.03616i −0.0115675 + 0.0506804i
\(419\) 5.22099 1.61046i 0.255062 0.0786763i −0.164587 0.986363i \(-0.552629\pi\)
0.419649 + 0.907686i \(0.362153\pi\)
\(420\) −0.0403647 0.475070i −0.00196960 0.0231811i
\(421\) −30.3222 9.35316i −1.47781 0.455845i −0.552006 0.833840i \(-0.686137\pi\)
−0.925808 + 0.377995i \(0.876614\pi\)
\(422\) 1.96698 3.40691i 0.0957511 0.165846i
\(423\) 3.06572 2.56856i 0.149060 0.124888i
\(424\) 8.99319 8.34446i 0.436748 0.405243i
\(425\) −0.146862 1.95974i −0.00712387 0.0950615i
\(426\) 14.7732 + 16.7526i 0.715764 + 0.811667i
\(427\) 13.4420 + 2.57306i 0.650502 + 0.124519i
\(428\) 7.73823 19.7167i 0.374041 0.953042i
\(429\) −7.62166 + 0.377541i −0.367977 + 0.0182279i
\(430\) 0.256095 + 0.321134i 0.0123500 + 0.0154864i
\(431\) −2.04872 27.3382i −0.0986832 1.31684i −0.798275 0.602293i \(-0.794254\pi\)
0.699592 0.714542i \(-0.253365\pi\)
\(432\) 6.25315 7.82329i 0.300855 0.376398i
\(433\) 30.0713 14.4816i 1.44514 0.695941i 0.463392 0.886153i \(-0.346632\pi\)
0.981743 + 0.190213i \(0.0609177\pi\)
\(434\) −10.6570 + 39.4358i −0.511551 + 1.89298i
\(435\) −0.480620 0.0482738i −0.0230440 0.00231455i
\(436\) −3.07637 + 1.48150i −0.147332 + 0.0709511i
\(437\) −0.169602 0.157368i −0.00811317 0.00752792i
\(438\) −27.1830 + 27.8487i −1.29886 + 1.33066i
\(439\) 6.32092 16.1054i 0.301681 0.768671i −0.696987 0.717083i \(-0.745477\pi\)
0.998668 0.0515874i \(-0.0164281\pi\)
\(440\) 0.192841 0.00919335
\(441\) −15.1065 + 14.5875i −0.719355 + 0.694643i
\(442\) 1.21476 0.0577803
\(443\) 4.60078 11.7226i 0.218590 0.556958i −0.778948 0.627088i \(-0.784246\pi\)
0.997538 + 0.0701309i \(0.0223417\pi\)
\(444\) −9.14537 32.5510i −0.434020 1.54480i
\(445\) −0.402481 0.373448i −0.0190794 0.0177031i
\(446\) −56.0530 + 26.9937i −2.65419 + 1.27819i
\(447\) 0.191564 + 0.424971i 0.00906068 + 0.0201004i
\(448\) −32.9472 1.30316i −1.55661 0.0615686i
\(449\) −37.3734 + 17.9981i −1.76376 + 0.849382i −0.793038 + 0.609172i \(0.791502\pi\)
−0.970721 + 0.240209i \(0.922784\pi\)
\(450\) 0.790745 + 32.6827i 0.0372761 + 1.54068i
\(451\) −0.722276 9.63810i −0.0340106 0.453840i
\(452\) −20.5815 25.8084i −0.968073 1.21393i
\(453\) −5.58098 + 10.8761i −0.262217 + 0.511006i
\(454\) 15.2425 38.8373i 0.715367 1.82273i
\(455\) 0.107613 0.0922099i 0.00504498 0.00432287i
\(456\) −0.142145 + 0.422553i −0.00665656 + 0.0197879i
\(457\) −0.798536 10.6557i −0.0373539 0.498454i −0.984235 0.176868i \(-0.943403\pi\)
0.946881 0.321585i \(-0.104216\pi\)
\(458\) −11.7491 + 10.9016i −0.548998 + 0.509396i
\(459\) −2.04292 0.00227809i −0.0953552 0.000106332i
\(460\) −0.0767495 + 0.132934i −0.00357846 + 0.00619808i
\(461\) −17.0543 5.26056i −0.794299 0.245009i −0.129058 0.991637i \(-0.541195\pi\)
−0.665242 + 0.746628i \(0.731671\pi\)
\(462\) −19.6049 24.0875i −0.912102 1.12065i
\(463\) 35.9567 11.0912i 1.67105 0.515450i 0.692491 0.721426i \(-0.256513\pi\)
0.978557 + 0.205976i \(0.0660370\pi\)
\(464\) −3.16482 + 13.8660i −0.146923 + 0.643712i
\(465\) −0.147817 + 0.439414i −0.00685486 + 0.0203774i
\(466\) −41.3663 + 51.8717i −1.91626 + 2.40291i
\(467\) 17.0210 + 15.7932i 0.787637 + 0.730820i 0.967500 0.252872i \(-0.0813750\pi\)
−0.179863 + 0.983692i \(0.557565\pi\)
\(468\) −11.6895 0.592109i −0.540346 0.0273703i
\(469\) −15.5465 + 1.71810i −0.717871 + 0.0793346i
\(470\) −0.104967 0.0323780i −0.00484176 0.00149349i
\(471\) 23.2400 8.44890i 1.07084 0.389305i
\(472\) −10.9424 + 18.9528i −0.503666 + 0.872375i
\(473\) 14.8085 + 4.56782i 0.680896 + 0.210028i
\(474\) −55.4990 5.57435i −2.54916 0.256039i
\(475\) 0.286382 + 0.729689i 0.0131401 + 0.0334804i
\(476\) 1.69551 + 2.30762i 0.0777138 + 0.105770i
\(477\) −21.9755 4.45945i −1.00619 0.204184i
\(478\) −47.2988 14.5897i −2.16340 0.667319i
\(479\) −6.73183 8.44144i −0.307585 0.385699i 0.603881 0.797074i \(-0.293620\pi\)
−0.911466 + 0.411375i \(0.865049\pi\)
\(480\) −0.487506 0.0489654i −0.0222515 0.00223495i
\(481\) 6.26597 7.85728i 0.285704 0.358261i
\(482\) −11.2070 7.64077i −0.510463 0.348028i
\(483\) 6.67502 1.07421i 0.303724 0.0488784i
\(484\) −3.03892 + 2.07190i −0.138133 + 0.0941774i
\(485\) −0.0193926 + 0.258777i −0.000880574 + 0.0117504i
\(486\) 33.9391 + 1.75707i 1.53951 + 0.0797022i
\(487\) 8.59869 + 5.86249i 0.389644 + 0.265655i 0.742258 0.670114i \(-0.233755\pi\)
−0.352614 + 0.935769i \(0.614707\pi\)
\(488\) −3.10188 + 7.90347i −0.140416 + 0.357773i
\(489\) 19.7941 7.19615i 0.895122 0.325421i
\(490\) 0.561754 + 0.130740i 0.0253774 + 0.00590622i
\(491\) 8.62964 + 14.9470i 0.389450 + 0.674548i 0.992376 0.123250i \(-0.0393317\pi\)
−0.602925 + 0.797798i \(0.705998\pi\)
\(492\) 0.375091 14.8197i 0.0169104 0.668122i
\(493\) 2.61382 1.25875i 0.117721 0.0566913i
\(494\) −0.463006 + 0.142818i −0.0208316 + 0.00642571i
\(495\) −0.205539 0.286337i −0.00923831 0.0128699i
\(496\) 12.2987 + 5.92274i 0.552228 + 0.265939i
\(497\) −14.3576 + 6.22773i −0.644025 + 0.279352i
\(498\) 43.8397 + 11.1803i 1.96450 + 0.501001i
\(499\) −10.0398 + 12.5895i −0.449444 + 0.563585i −0.954005 0.299791i \(-0.903083\pi\)
0.504561 + 0.863376i \(0.331654\pi\)
\(500\) 0.859515 0.586008i 0.0384387 0.0262071i
\(501\) 8.12662 4.42161i 0.363071 0.197543i
\(502\) 0.861617 0.799464i 0.0384558 0.0356818i
\(503\) 13.4307 + 16.8416i 0.598846 + 0.750929i 0.985198 0.171422i \(-0.0548362\pi\)
−0.386351 + 0.922352i \(0.626265\pi\)
\(504\) −7.17279 10.8754i −0.319501 0.484427i
\(505\) 0.359427 0.450707i 0.0159943 0.0200562i
\(506\) 0.747216 + 9.97090i 0.0332178 + 0.443261i
\(507\) 10.3229 + 15.9960i 0.458456 + 0.710408i
\(508\) 12.1980 21.1276i 0.541200 0.937385i
\(509\) −22.1323 −0.980996 −0.490498 0.871442i \(-0.663185\pi\)
−0.490498 + 0.871442i \(0.663185\pi\)
\(510\) 0.0304242 + 0.0471443i 0.00134721 + 0.00208758i
\(511\) −12.6897 24.1344i −0.561357 1.06764i
\(512\) −4.61809 + 20.2332i −0.204093 + 0.894189i
\(513\) 0.778925 0.239316i 0.0343904 0.0105660i
\(514\) 33.7859 + 5.09241i 1.49023 + 0.224617i
\(515\) 0.0307194 0.0385209i 0.00135366 0.00169743i
\(516\) 21.8994 + 9.24098i 0.964069 + 0.406811i
\(517\) −3.96029 + 1.22159i −0.174173 + 0.0537254i
\(518\) 40.8698 + 1.61653i 1.79572 + 0.0710261i
\(519\) −18.7943 + 0.930983i −0.824980 + 0.0408656i
\(520\) 0.0439579 + 0.0761374i 0.00192768 + 0.00333884i
\(521\) 21.4587 + 37.1675i 0.940121 + 1.62834i 0.765237 + 0.643749i \(0.222622\pi\)
0.174884 + 0.984589i \(0.444045\pi\)
\(522\) −44.4853 + 18.7132i −1.94707 + 0.819054i
\(523\) −7.01299 + 4.78138i −0.306657 + 0.209075i −0.706864 0.707350i \(-0.749891\pi\)
0.400207 + 0.916425i \(0.368938\pi\)
\(524\) 8.60877 + 21.9348i 0.376076 + 0.958226i
\(525\) −21.9548 6.53337i −0.958188 0.285139i
\(526\) 4.33157 11.0367i 0.188865 0.481221i
\(527\) −0.619596 2.71463i −0.0269900 0.118251i
\(528\) −9.11613 + 4.95999i −0.396729 + 0.215856i
\(529\) 18.7612 + 9.03491i 0.815703 + 0.392822i
\(530\) 0.224999 + 0.573288i 0.00977333 + 0.0249021i
\(531\) 39.8047 3.95318i 1.72738 0.171553i
\(532\) −0.917550 0.680210i −0.0397808 0.0294908i
\(533\) 3.64066 2.48216i 0.157694 0.107514i
\(534\) −53.1548 13.5559i −2.30023 0.586622i
\(535\) 0.213165 + 0.197788i 0.00921593 + 0.00855113i
\(536\) 0.725127 9.67615i 0.0313207 0.417946i
\(537\) 22.6922 12.3466i 0.979242 0.532795i
\(538\) −8.14956 + 14.1155i −0.351353 + 0.608560i
\(539\) 20.2903 7.86365i 0.873965 0.338711i
\(540\) −0.269788 0.468492i −0.0116098 0.0201607i
\(541\) −39.7565 + 5.99233i −1.70927 + 0.257631i −0.929602 0.368566i \(-0.879849\pi\)
−0.779665 + 0.626197i \(0.784611\pi\)
\(542\) 40.9576 19.7241i 1.75928 0.847223i
\(543\) 2.41632 1.82888i 0.103694 0.0784846i
\(544\) 2.65127 1.27678i 0.113672 0.0547417i
\(545\) −0.00350318 0.0467467i −0.000150060 0.00200241i
\(546\) 5.04129 13.2311i 0.215747 0.566238i
\(547\) 2.65330 35.4058i 0.113447 1.51384i −0.592496 0.805573i \(-0.701858\pi\)
0.705943 0.708268i \(-0.250523\pi\)
\(548\) 9.49817 + 24.2009i 0.405742 + 1.03381i
\(549\) 15.0414 3.81812i 0.641953 0.162953i
\(550\) 12.3765 31.5349i 0.527738 1.34465i
\(551\) −0.848267 + 0.787077i −0.0361374 + 0.0335306i
\(552\) −0.106124 + 4.19292i −0.00451695 + 0.178462i
\(553\) 15.7049 35.7876i 0.667840 1.52184i
\(554\) 42.0892 + 6.34393i 1.78820 + 0.269528i
\(555\) 0.461871 + 0.0463905i 0.0196053 + 0.00196917i
\(556\) −2.22143 9.73271i −0.0942095 0.412759i
\(557\) −2.79335 4.83822i −0.118358 0.205002i 0.800759 0.598986i \(-0.204430\pi\)
−0.919117 + 0.393985i \(0.871096\pi\)
\(558\) 8.00946 + 45.6222i 0.339067 + 1.93134i
\(559\) 1.57212 + 6.88790i 0.0664935 + 0.291327i
\(560\) 0.0774486 0.176486i 0.00327280 0.00745790i
\(561\) 1.95040 + 0.823015i 0.0823458 + 0.0347477i
\(562\) −13.6590 + 59.8438i −0.576168 + 2.52436i
\(563\) −3.87556 9.87476i −0.163335 0.416171i 0.825651 0.564182i \(-0.190808\pi\)
−0.988986 + 0.148010i \(0.952713\pi\)
\(564\) −6.23115 + 1.25724i −0.262379 + 0.0529395i
\(565\) 0.433062 0.133582i 0.0182191 0.00561983i
\(566\) 14.4322 63.2315i 0.606629 2.65782i
\(567\) −8.50297 + 22.2418i −0.357091 + 0.934070i
\(568\) −2.16041 9.46539i −0.0906489 0.397159i
\(569\) 0.595385 + 1.03124i 0.0249598 + 0.0432317i 0.878236 0.478228i \(-0.158721\pi\)
−0.853276 + 0.521460i \(0.825388\pi\)
\(570\) −0.0171389 0.0143921i −0.000717868 0.000602818i
\(571\) 4.45875 + 1.37534i 0.186593 + 0.0575563i 0.386643 0.922229i \(-0.373634\pi\)
−0.200050 + 0.979786i \(0.564111\pi\)
\(572\) 10.9274 + 5.26236i 0.456897 + 0.220030i
\(573\) −8.36795 9.48915i −0.349576 0.396415i
\(574\) 16.9142 + 5.95904i 0.705984 + 0.248726i
\(575\) 4.59802 + 5.76573i 0.191751 + 0.240448i
\(576\) −34.4628 + 14.4971i −1.43595 + 0.604046i
\(577\) −4.30685 + 10.9737i −0.179296 + 0.456840i −0.992062 0.125751i \(-0.959866\pi\)
0.812765 + 0.582591i \(0.197961\pi\)
\(578\) 33.0879 + 15.9343i 1.37628 + 0.662780i
\(579\) 2.84175 8.44762i 0.118099 0.351071i
\(580\) 0.634326 + 0.432476i 0.0263390 + 0.0179576i
\(581\) −16.9227 + 26.8052i −0.702070 + 1.11207i
\(582\) 10.6547 + 23.6367i 0.441653 + 0.979775i
\(583\) 19.1983 + 13.0892i 0.795112 + 0.542098i
\(584\) 16.1642 4.98599i 0.668879 0.206322i
\(585\) 0.0661987 0.146421i 0.00273698 0.00605376i
\(586\) −43.1374 + 6.50192i −1.78199 + 0.268592i
\(587\) −4.16086 + 7.20683i −0.171737 + 0.297458i −0.939027 0.343843i \(-0.888271\pi\)
0.767290 + 0.641300i \(0.221605\pi\)
\(588\) 32.1709 8.89071i 1.32670 0.366647i
\(589\) 0.555315 + 0.961834i 0.0228814 + 0.0396317i
\(590\) −0.684977 0.858934i −0.0282001 0.0353618i
\(591\) −26.6452 6.79525i −1.09604 0.279519i
\(592\) 3.04136 13.3250i 0.124999 0.547656i
\(593\) −2.34885 + 31.3432i −0.0964557 + 1.28711i 0.713514 + 0.700641i \(0.247102\pi\)
−0.809970 + 0.586472i \(0.800517\pi\)
\(594\) −31.7112 15.3149i −1.30113 0.628378i
\(595\) −0.0379956 + 0.0100941i −0.00155767 + 0.000413818i
\(596\) 0.0553666 0.738816i 0.00226791 0.0302631i
\(597\) −3.91185 4.43599i −0.160101 0.181553i
\(598\) −3.76637 + 2.56787i −0.154018 + 0.105008i
\(599\) −7.91096 + 1.19239i −0.323233 + 0.0487195i −0.308655 0.951174i \(-0.599879\pi\)
−0.0145784 + 0.999894i \(0.504641\pi\)
\(600\) 6.48763 12.6430i 0.264856 0.516149i
\(601\) 27.0951 4.08392i 1.10523 0.166587i 0.429020 0.903295i \(-0.358859\pi\)
0.676211 + 0.736708i \(0.263621\pi\)
\(602\) −18.8023 + 21.7546i −0.766323 + 0.886652i
\(603\) −15.1403 + 9.23661i −0.616562 + 0.376144i
\(604\) 16.0532 10.9449i 0.653195 0.445341i
\(605\) −0.0112363 0.0492294i −0.000456820 0.00200146i
\(606\) 10.0226 56.7177i 0.407140 2.30400i
\(607\) 35.7248 1.45002 0.725012 0.688736i \(-0.241834\pi\)
0.725012 + 0.688736i \(0.241834\pi\)
\(608\) −0.860421 + 0.798354i −0.0348947 + 0.0323775i
\(609\) −2.86278 33.6934i −0.116006 1.36532i
\(610\) −0.312439 0.289901i −0.0126503 0.0117377i
\(611\) −1.38505 1.28514i −0.0560331 0.0519911i
\(612\) 2.85039 + 1.55499i 0.115220 + 0.0628567i
\(613\) −5.74369 0.865722i −0.231986 0.0349662i 0.0320205 0.999487i \(-0.489806\pi\)
−0.264006 + 0.964521i \(0.585044\pi\)
\(614\) 68.4031 21.0996i 2.76052 0.851509i
\(615\) 0.187513 + 0.0791254i 0.00756125 + 0.00319065i
\(616\) 2.48146 + 13.2697i 0.0999810 + 0.534652i
\(617\) 9.88520 9.17212i 0.397963 0.369256i −0.455654 0.890157i \(-0.650595\pi\)
0.853617 + 0.520901i \(0.174404\pi\)
\(618\) 0.856608 4.84753i 0.0344578 0.194996i
\(619\) −42.8288 −1.72144 −0.860718 0.509082i \(-0.829985\pi\)
−0.860718 + 0.509082i \(0.829985\pi\)
\(620\) 0.540149 0.501185i 0.0216929 0.0201281i
\(621\) 6.33888 4.31143i 0.254371 0.173012i
\(622\) 1.23139 1.54411i 0.0493741 0.0619132i
\(623\) 20.5184 32.5008i 0.822054 1.30212i
\(624\) −4.03630 2.46859i −0.161581 0.0988229i
\(625\) −5.55826 24.3523i −0.222330 0.974092i
\(626\) −57.6638 + 8.69143i −2.30471 + 0.347379i
\(627\) −0.840154 0.0843855i −0.0335525 0.00337003i
\(628\) −38.8633 5.85770i −1.55081 0.233748i
\(629\) −2.51185 + 1.20965i −0.100154 + 0.0482317i
\(630\) 0.639753 0.135728i 0.0254884 0.00540753i
\(631\) 20.0002 + 9.63159i 0.796196 + 0.383428i 0.787329 0.616533i \(-0.211463\pi\)
0.00886668 + 0.999961i \(0.497178\pi\)
\(632\) 20.0323 + 13.6578i 0.796843 + 0.543278i
\(633\) 2.87958 + 1.21510i 0.114453 + 0.0482960i
\(634\) 2.31663 30.9133i 0.0920053 1.22772i
\(635\) 0.208827 + 0.261861i 0.00828705 + 0.0103916i
\(636\) 27.2926 + 22.9185i 1.08222 + 0.908778i
\(637\) 7.72986 + 6.21847i 0.306268 + 0.246385i
\(638\) 50.0094 1.97989
\(639\) −11.7518 + 13.2965i −0.464895 + 0.526002i
\(640\) 0.380981 + 0.259749i 0.0150596 + 0.0102675i
\(641\) 1.07299 4.70108i 0.0423806 0.185681i −0.949307 0.314350i \(-0.898213\pi\)
0.991688 + 0.128669i \(0.0410705\pi\)
\(642\) 28.1523 + 7.17959i 1.11108 + 0.283356i
\(643\) −0.0315011 0.420352i −0.00124228 0.0165771i 0.996548 0.0830161i \(-0.0264553\pi\)
−0.997790 + 0.0664390i \(0.978836\pi\)
\(644\) −10.1350 3.57067i −0.399375 0.140704i
\(645\) −0.227941 + 0.233523i −0.00897519 + 0.00919496i
\(646\) 0.132914 + 0.0200335i 0.00522943 + 0.000788209i
\(647\) 1.95206 + 26.0484i 0.0767433 + 1.02407i 0.894080 + 0.447908i \(0.147831\pi\)
−0.817336 + 0.576161i \(0.804550\pi\)
\(648\) −12.5934 7.72142i −0.494716 0.303326i
\(649\) −39.6082 12.2175i −1.55476 0.479580i
\(650\) 15.2718 2.30185i 0.599009 0.0902860i
\(651\) −32.1389 4.51718i −1.25962 0.177042i
\(652\) −33.1009 4.98916i −1.29633 0.195390i
\(653\) 6.28260 + 3.02554i 0.245857 + 0.118399i 0.552755 0.833344i \(-0.313577\pi\)
−0.306898 + 0.951743i \(0.599291\pi\)
\(654\) −2.53962 3.93531i −0.0993070 0.153883i
\(655\) −0.323505 −0.0126404
\(656\) 2.99627 5.18970i 0.116985 0.202624i
\(657\) −24.6319 18.6868i −0.960982 0.729041i
\(658\) 0.877275 7.63957i 0.0341998 0.297821i
\(659\) 26.8374 + 24.9015i 1.04544 + 0.970023i 0.999582 0.0289248i \(-0.00920833\pi\)
0.0458549 + 0.998948i \(0.485399\pi\)
\(660\) 0.0694515 + 0.555884i 0.00270339 + 0.0216378i
\(661\) −4.10720 10.4650i −0.159752 0.407040i 0.828477 0.560022i \(-0.189208\pi\)
−0.988229 + 0.152982i \(0.951112\pi\)
\(662\) −18.2418 46.4794i −0.708989 1.80647i
\(663\) 0.119649 + 0.957658i 0.00464676 + 0.0371923i
\(664\) −14.4160 13.3761i −0.559450 0.519093i
\(665\) 0.0132953 0.00831447i 0.000515568 0.000322421i
\(666\) 42.7499 17.9832i 1.65652 0.696833i
\(667\) −5.44330 + 9.42807i −0.210765 + 0.365056i
\(668\) −14.7043 −0.568925
\(669\) −26.8015 41.5306i −1.03620 1.60567i
\(670\) 0.438866 + 0.211347i 0.0169549 + 0.00816503i
\(671\) −15.9011 2.39670i −0.613855 0.0925237i
\(672\) −2.90380 34.1761i −0.112017 1.31837i
\(673\) −4.06353 + 0.612478i −0.156638 + 0.0236093i −0.226893 0.973920i \(-0.572857\pi\)
0.0702553 + 0.997529i \(0.477619\pi\)
\(674\) −68.5891 21.1569i −2.64195 0.814935i
\(675\) −25.6875 + 3.84248i −0.988714 + 0.147897i
\(676\) −2.26118 30.1734i −0.0869686 1.16051i
\(677\) 8.90037 + 1.34151i 0.342069 + 0.0515586i 0.317830 0.948148i \(-0.397046\pi\)
0.0242386 + 0.999706i \(0.492284\pi\)
\(678\) 31.6278 32.4023i 1.21466 1.24440i
\(679\) −18.0563 + 1.99548i −0.692939 + 0.0765793i
\(680\) −0.00182259 0.0243207i −6.98930e−5 0.000932657i
\(681\) 32.1187 + 8.19115i 1.23079 + 0.313885i
\(682\) 10.6806 46.7946i 0.408980 1.79186i
\(683\) −5.71329 3.89525i −0.218613 0.149048i 0.449062 0.893500i \(-0.351758\pi\)
−0.667675 + 0.744453i \(0.732711\pi\)
\(684\) −1.26924 0.257566i −0.0485308 0.00984827i
\(685\) −0.356927 −0.0136375
\(686\) −1.76781 + 40.3375i −0.0674954 + 1.54009i
\(687\) −9.75147 8.18863i −0.372042 0.312416i
\(688\) 5.99074 + 7.51215i 0.228395 + 0.286398i
\(689\) −0.791625 + 10.5635i −0.0301585 + 0.402437i
\(690\) −0.193988 0.0818576i −0.00738499 0.00311627i
\(691\) 25.7343 + 17.5454i 0.978981 + 0.667458i 0.943312 0.331906i \(-0.107692\pi\)
0.0356682 + 0.999364i \(0.488644\pi\)
\(692\) 26.9460 + 12.9765i 1.02433 + 0.493293i
\(693\) 17.0584 17.8280i 0.647995 0.677231i
\(694\) −1.04144 + 0.501532i −0.0395326 + 0.0190379i
\(695\) 0.135526 + 0.0204272i 0.00514078 + 0.000774848i
\(696\) 20.8726 + 2.09646i 0.791175 + 0.0794660i
\(697\) −1.20871 + 0.182184i −0.0457831 + 0.00690069i
\(698\) −2.25960 9.89994i −0.0855270 0.374718i
\(699\) −44.9675 27.5020i −1.70083 1.04022i
\(700\) 25.6884 + 25.7982i 0.970932 + 0.975082i
\(701\) −1.24901 + 1.56621i −0.0471745 + 0.0591550i −0.804859 0.593466i \(-0.797759\pi\)
0.757685 + 0.652621i \(0.226331\pi\)
\(702\) −1.18192 16.0112i −0.0446087 0.604304i
\(703\) 0.815175 0.756372i 0.0307449 0.0285271i
\(704\) 38.7423 1.46016
\(705\) 0.0151864 0.0859398i 0.000571955 0.00323668i
\(706\) 45.2031 41.9423i 1.70124 1.57852i
\(707\) 35.6389 + 18.9330i 1.34034 + 0.712051i
\(708\) −58.5743 24.7168i −2.20136 0.928914i
\(709\) −17.8958 + 5.52011i −0.672090 + 0.207312i −0.611972 0.790879i \(-0.709624\pi\)
−0.0601172 + 0.998191i \(0.519147\pi\)
\(710\) 0.481938 + 0.0726405i 0.0180868 + 0.00272615i
\(711\) −1.07186 44.3017i −0.0401980 1.66144i
\(712\) 17.4792 + 16.2183i 0.655059 + 0.607806i
\(713\) 7.65947 + 7.10695i 0.286849 + 0.266157i
\(714\) −2.85257 + 2.70018i −0.106755 + 0.101052i
\(715\) −0.122062 + 0.113257i −0.00456485 + 0.00423556i
\(716\) −41.0592 −1.53445
\(717\) 6.84311 38.7250i 0.255561 1.44621i
\(718\) −11.8873 52.0817i −0.443630 1.94367i
\(719\) −18.6739 + 12.7316i −0.696419 + 0.474810i −0.859060 0.511875i \(-0.828951\pi\)
0.162641 + 0.986685i \(0.447999\pi\)
\(720\) −0.00528588 0.218474i −0.000196993 0.00814204i
\(721\) 3.04597 + 1.61816i 0.113438 + 0.0602635i
\(722\) 40.9064 6.16565i 1.52238 0.229462i
\(723\) 4.91977 9.58759i 0.182968 0.356566i
\(724\) −4.76265 + 0.717854i −0.177002 + 0.0266788i
\(725\) 30.4753 20.7777i 1.13183 0.771666i
\(726\) −3.33684 3.78394i −0.123842 0.140435i
\(727\) −3.87645 + 51.7276i −0.143769 + 1.91847i 0.200666 + 0.979660i \(0.435689\pi\)
−0.344435 + 0.938810i \(0.611930\pi\)
\(728\) −4.67348 + 4.00454i −0.173211 + 0.148418i
\(729\) 1.95766 + 26.9289i 0.0725059 + 0.997368i
\(730\) −0.0634583 + 0.846793i −0.00234870 + 0.0313412i
\(731\) 0.436124 1.91079i 0.0161306 0.0706730i
\(732\) −23.8997 6.09506i −0.883357 0.225280i
\(733\) 0.249556 + 0.312933i 0.00921755 + 0.0115584i 0.786419 0.617694i \(-0.211933\pi\)
−0.777201 + 0.629252i \(0.783361\pi\)
\(734\) −20.6528 35.7717i −0.762309 1.32036i
\(735\) −0.0477386 + 0.455736i −0.00176086 + 0.0168101i
\(736\) −5.52129 + 9.56315i −0.203517 + 0.352503i
\(737\) 18.1727 2.73909i 0.669399 0.100896i
\(738\) 20.2348 2.00960i 0.744853 0.0739745i
\(739\) 30.2266 9.32368i 1.11190 0.342977i 0.316218 0.948686i \(-0.397587\pi\)
0.795686 + 0.605709i \(0.207111\pi\)
\(740\) −0.609581 0.415605i −0.0224086 0.0152779i
\(741\) −0.158195 0.350944i −0.00581144 0.0128922i
\(742\) −36.5536 + 22.8595i −1.34192 + 0.839200i
\(743\) −25.5695 17.4330i −0.938052 0.639553i −0.00526713 0.999986i \(-0.501677\pi\)
−0.932785 + 0.360433i \(0.882629\pi\)
\(744\) 6.41948 19.0831i 0.235350 0.699621i
\(745\) 0.00916433 + 0.00441331i 0.000335755 + 0.000161691i
\(746\) −12.3084 + 31.3612i −0.450641 + 1.14822i
\(747\) −4.49598 + 35.6622i −0.164499 + 1.30481i
\(748\) −2.09779 2.63054i −0.0767027 0.0961822i
\(749\) −10.8671 + 17.2133i −0.397076 + 0.628961i
\(750\) 0.943778 + 1.07023i 0.0344619 + 0.0390793i
\(751\) −19.4249 9.35454i −0.708825 0.341352i 0.0444921 0.999010i \(-0.485833\pi\)
−0.753317 + 0.657658i \(0.771547\pi\)
\(752\) −2.45545 0.757406i −0.0895411 0.0276198i
\(753\) 0.715123 + 0.600512i 0.0260605 + 0.0218839i
\(754\) 11.3996 + 19.7447i 0.415148 + 0.719058i
\(755\) 0.0593560 + 0.260056i 0.00216019 + 0.00946439i
\(756\) 28.7660 24.5930i 1.04621 0.894439i
\(757\) 4.08936 17.9166i 0.148630 0.651191i −0.844636 0.535340i \(-0.820183\pi\)
0.993267 0.115851i \(-0.0369595\pi\)
\(758\) 70.3712 21.7066i 2.55600 0.788421i
\(759\) −7.78696 + 1.57116i −0.282649 + 0.0570293i
\(760\) 0.00355404 + 0.00905555i 0.000128919 + 0.000328479i
\(761\) 0.581667 2.54845i 0.0210854 0.0923813i −0.963290 0.268462i \(-0.913485\pi\)
0.984376 + 0.176080i \(0.0563419\pi\)
\(762\) 30.8310 + 13.0099i 1.11689 + 0.471298i
\(763\) 3.17163 0.842592i 0.114821 0.0305039i
\(764\) 4.47452 + 19.6042i 0.161883 + 0.709254i
\(765\) −0.0341696 + 0.0286284i −0.00123540 + 0.00103506i
\(766\) 16.1361 + 27.9485i 0.583021 + 1.00982i
\(767\) −4.20494 18.4230i −0.151831 0.665217i
\(768\) 2.88319 + 0.289589i 0.104038 + 0.0104496i
\(769\) −48.3794 7.29202i −1.74461 0.262957i −0.802111 0.597175i \(-0.796290\pi\)
−0.942496 + 0.334218i \(0.891528\pi\)
\(770\) −0.665601 0.127409i −0.0239866 0.00459151i
\(771\) −0.686841 + 27.1367i −0.0247360 + 0.977305i
\(772\) −10.3842 + 9.63515i