Properties

Label 354.3.h.a.5.18
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.18
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.87597 + 0.853709i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-5.83416 - 2.32454i) q^{5} +(-2.44280 + 3.46882i) q^{6} +(6.28996 - 2.91005i) q^{7} +(2.34106 - 1.58728i) q^{8} +(7.54236 + 4.91048i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(2.87597 + 0.853709i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-5.83416 - 2.32454i) q^{5} +(-2.44280 + 3.46882i) q^{6} +(6.28996 - 2.91005i) q^{7} +(2.34106 - 1.58728i) q^{8} +(7.54236 + 4.91048i) q^{9} +(5.74979 - 6.76917i) q^{10} +(1.90068 + 0.527722i) q^{11} +(-3.54579 - 4.84018i) q^{12} +(1.67994 - 3.16871i) q^{13} +(1.05970 + 9.74377i) q^{14} +(-14.7944 - 11.6660i) q^{15} +(1.07011 + 3.85420i) q^{16} +(4.38691 - 9.48215i) q^{17} +(-9.98677 + 7.89078i) q^{18} +(14.2733 - 3.14180i) q^{19} +(6.47556 + 10.7625i) q^{20} +(20.5740 - 2.99940i) q^{21} +(-1.56552 + 2.30896i) q^{22} +(34.7612 + 5.69881i) q^{23} +(8.08788 - 2.56637i) q^{24} +(10.4840 + 9.93098i) q^{25} +(3.48806 + 3.68230i) q^{26} +(17.4995 + 20.5613i) q^{27} +(-13.5370 - 2.97971i) q^{28} +(-0.805635 - 2.39104i) q^{29} +(22.3151 - 14.5593i) q^{30} +(48.2639 + 10.6237i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(5.01577 + 3.14034i) q^{33} +(10.7269 + 10.1610i) q^{34} +(-43.4611 + 2.35639i) q^{35} +(-6.06546 - 16.9473i) q^{36} +(0.968740 - 1.42878i) q^{37} +(-2.23469 + 20.5476i) q^{38} +(7.53662 - 7.67892i) q^{39} +(-17.3478 + 3.81854i) q^{40} +(-36.6745 + 6.01249i) q^{41} +(-5.27068 + 28.9274i) q^{42} +(-13.0341 - 46.9446i) q^{43} +(-2.38751 - 3.14072i) q^{44} +(-32.5887 - 46.1810i) q^{45} +(-23.3342 + 44.0130i) q^{46} +(8.14544 - 3.24544i) q^{47} +(-0.212755 + 11.9981i) q^{48} +(-0.626682 + 0.737787i) q^{49} +(-18.0435 + 9.56606i) q^{50} +(20.7116 - 23.5252i) q^{51} +(-6.51003 + 3.01186i) q^{52} +(-35.8487 + 30.4501i) q^{53} +(-35.4580 + 14.1678i) q^{54} +(-9.86216 - 7.49702i) q^{55} +(10.1061 - 16.7965i) q^{56} +(43.7318 + 3.14957i) q^{57} +3.56823 q^{58} +(54.2970 + 23.0833i) q^{59} +(9.43548 + 36.4807i) q^{60} +(-34.3369 - 11.5694i) q^{61} +(-36.0318 + 59.8853i) q^{62} +(61.7309 + 8.93808i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-17.1668 + 14.5817i) q^{65} +(-6.47356 + 5.30401i) q^{66} +(-8.44928 - 12.4618i) q^{67} +(-18.4615 + 9.78766i) q^{68} +(95.1069 + 46.0655i) q^{69} +(16.4673 - 59.3100i) q^{70} +(15.0733 - 6.00575i) q^{71} +(25.4514 - 0.476107i) q^{72} +(-121.664 + 13.2318i) q^{73} +(1.47739 + 1.94347i) q^{74} +(21.6735 + 37.5114i) q^{75} +(-26.5285 - 12.2734i) q^{76} +(13.4909 - 2.21172i) q^{77} +(6.88792 + 13.5679i) q^{78} +(100.064 - 60.2066i) q^{79} +(2.71603 - 24.9735i) q^{80} +(32.7745 + 74.0732i) q^{81} +(8.50294 - 51.8656i) q^{82} +(17.8711 - 0.968941i) q^{83} +(-36.3880 - 20.1262i) q^{84} +(-47.6356 + 45.1228i) q^{85} +(68.8001 + 3.73023i) q^{86} +(-0.275727 - 7.56433i) q^{87} +(5.28725 - 1.78148i) q^{88} +(10.3983 + 30.8610i) q^{89} +(76.6068 - 22.8214i) q^{90} +(1.34569 - 24.8198i) q^{91} +(-48.4487 - 51.1467i) q^{92} +(129.736 + 71.7567i) q^{93} +(0.671327 + 12.3819i) q^{94} +(-90.5761 - 14.8492i) q^{95} +(-15.9836 - 5.70301i) q^{96} +(-86.8064 - 9.44077i) q^{97} +(-0.705786 - 1.17303i) q^{98} +(11.7443 + 13.3135i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) 2.87597 + 0.853709i 0.958655 + 0.284570i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −5.83416 2.32454i −1.16683 0.464908i −0.295375 0.955381i \(-0.595445\pi\)
−0.871456 + 0.490473i \(0.836824\pi\)
\(6\) −2.44280 + 3.46882i −0.407133 + 0.578137i
\(7\) 6.28996 2.91005i 0.898566 0.415721i 0.0844530 0.996427i \(-0.473086\pi\)
0.814113 + 0.580707i \(0.197224\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) 7.54236 + 4.91048i 0.838040 + 0.545608i
\(10\) 5.74979 6.76917i 0.574979 0.676917i
\(11\) 1.90068 + 0.527722i 0.172789 + 0.0479747i 0.352845 0.935682i \(-0.385214\pi\)
−0.180056 + 0.983656i \(0.557628\pi\)
\(12\) −3.54579 4.84018i −0.295482 0.403349i
\(13\) 1.67994 3.16871i 0.129226 0.243747i −0.810453 0.585804i \(-0.800779\pi\)
0.939679 + 0.342057i \(0.111124\pi\)
\(14\) 1.05970 + 9.74377i 0.0756928 + 0.695983i
\(15\) −14.7944 11.6660i −0.986290 0.777731i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) 4.38691 9.48215i 0.258054 0.557774i −0.734637 0.678460i \(-0.762648\pi\)
0.992691 + 0.120687i \(0.0385096\pi\)
\(18\) −9.98677 + 7.89078i −0.554821 + 0.438376i
\(19\) 14.2733 3.14180i 0.751228 0.165358i 0.177179 0.984179i \(-0.443303\pi\)
0.574049 + 0.818821i \(0.305372\pi\)
\(20\) 6.47556 + 10.7625i 0.323778 + 0.538123i
\(21\) 20.5740 2.99940i 0.979717 0.142828i
\(22\) −1.56552 + 2.30896i −0.0711599 + 0.104953i
\(23\) 34.7612 + 5.69881i 1.51136 + 0.247774i 0.859723 0.510760i \(-0.170636\pi\)
0.651633 + 0.758535i \(0.274084\pi\)
\(24\) 8.08788 2.56637i 0.336995 0.106932i
\(25\) 10.4840 + 9.93098i 0.419360 + 0.397239i
\(26\) 3.48806 + 3.68230i 0.134156 + 0.141627i
\(27\) 17.4995 + 20.5613i 0.648128 + 0.761531i
\(28\) −13.5370 2.97971i −0.483463 0.106418i
\(29\) −0.805635 2.39104i −0.0277805 0.0824497i 0.932866 0.360224i \(-0.117300\pi\)
−0.960646 + 0.277774i \(0.910403\pi\)
\(30\) 22.3151 14.5593i 0.743836 0.485309i
\(31\) 48.2639 + 10.6237i 1.55690 + 0.342700i 0.908264 0.418398i \(-0.137408\pi\)
0.648637 + 0.761098i \(0.275339\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) 5.01577 + 3.14034i 0.151993 + 0.0951618i
\(34\) 10.7269 + 10.1610i 0.315496 + 0.298854i
\(35\) −43.4611 + 2.35639i −1.24175 + 0.0673256i
\(36\) −6.06546 16.9473i −0.168485 0.470758i
\(37\) 0.968740 1.42878i 0.0261822 0.0386158i −0.814373 0.580342i \(-0.802919\pi\)
0.840555 + 0.541726i \(0.182229\pi\)
\(38\) −2.23469 + 20.5476i −0.0588075 + 0.540726i
\(39\) 7.53662 7.67892i 0.193247 0.196895i
\(40\) −17.3478 + 3.81854i −0.433695 + 0.0954634i
\(41\) −36.6745 + 6.01249i −0.894501 + 0.146646i −0.591463 0.806332i \(-0.701449\pi\)
−0.303038 + 0.952978i \(0.598001\pi\)
\(42\) −5.27068 + 28.9274i −0.125492 + 0.688748i
\(43\) −13.0341 46.9446i −0.303119 1.09174i −0.945573 0.325411i \(-0.894497\pi\)
0.642454 0.766324i \(-0.277916\pi\)
\(44\) −2.38751 3.14072i −0.0542616 0.0713799i
\(45\) −32.5887 46.1810i −0.724194 1.02624i
\(46\) −23.3342 + 44.0130i −0.507266 + 0.956805i
\(47\) 8.14544 3.24544i 0.173307 0.0690519i −0.281871 0.959452i \(-0.590955\pi\)
0.455178 + 0.890400i \(0.349576\pi\)
\(48\) −0.212755 + 11.9981i −0.00443240 + 0.249961i
\(49\) −0.626682 + 0.737787i −0.0127894 + 0.0150569i
\(50\) −18.0435 + 9.56606i −0.360870 + 0.191321i
\(51\) 20.7116 23.5252i 0.406110 0.461279i
\(52\) −6.51003 + 3.01186i −0.125193 + 0.0579204i
\(53\) −35.8487 + 30.4501i −0.676390 + 0.574531i −0.918357 0.395754i \(-0.870483\pi\)
0.241967 + 0.970285i \(0.422207\pi\)
\(54\) −35.4580 + 14.1678i −0.656631 + 0.262367i
\(55\) −9.86216 7.49702i −0.179312 0.136309i
\(56\) 10.1061 16.7965i 0.180466 0.299937i
\(57\) 43.7318 + 3.14957i 0.767224 + 0.0552555i
\(58\) 3.56823 0.0615212
\(59\) 54.2970 + 23.0833i 0.920288 + 0.391243i
\(60\) 9.43548 + 36.4807i 0.157258 + 0.608012i
\(61\) −34.3369 11.5694i −0.562900 0.189663i 0.0234444 0.999725i \(-0.492537\pi\)
−0.586344 + 0.810062i \(0.699433\pi\)
\(62\) −36.0318 + 59.8853i −0.581158 + 0.965892i
\(63\) 61.7309 + 8.93808i 0.979855 + 0.141874i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −17.1668 + 14.5817i −0.264105 + 0.224333i
\(66\) −6.47356 + 5.30401i −0.0980842 + 0.0803638i
\(67\) −8.44928 12.4618i −0.126109 0.185996i 0.759393 0.650632i \(-0.225496\pi\)
−0.885502 + 0.464635i \(0.846185\pi\)
\(68\) −18.4615 + 9.78766i −0.271492 + 0.143936i
\(69\) 95.1069 + 46.0655i 1.37836 + 0.667616i
\(70\) 16.4673 59.3100i 0.235248 0.847285i
\(71\) 15.0733 6.00575i 0.212300 0.0845881i −0.261564 0.965186i \(-0.584238\pi\)
0.473864 + 0.880598i \(0.342859\pi\)
\(72\) 25.4514 0.476107i 0.353492 0.00661260i
\(73\) −121.664 + 13.2318i −1.66663 + 0.181257i −0.892276 0.451491i \(-0.850892\pi\)
−0.774357 + 0.632748i \(0.781927\pi\)
\(74\) 1.47739 + 1.94347i 0.0199647 + 0.0262631i
\(75\) 21.6735 + 37.5114i 0.288980 + 0.500153i
\(76\) −26.5285 12.2734i −0.349059 0.161492i
\(77\) 13.4909 2.21172i 0.175207 0.0287237i
\(78\) 6.88792 + 13.5679i 0.0883067 + 0.173948i
\(79\) 100.064 60.2066i 1.26663 0.762109i 0.286052 0.958214i \(-0.407657\pi\)
0.980583 + 0.196105i \(0.0628294\pi\)
\(80\) 2.71603 24.9735i 0.0339504 0.312169i
\(81\) 32.7745 + 74.0732i 0.404623 + 0.914484i
\(82\) 8.50294 51.8656i 0.103694 0.632508i
\(83\) 17.8711 0.968941i 0.215314 0.0116740i 0.0538336 0.998550i \(-0.482856\pi\)
0.161480 + 0.986876i \(0.448373\pi\)
\(84\) −36.3880 20.1262i −0.433191 0.239597i
\(85\) −47.6356 + 45.1228i −0.560419 + 0.530857i
\(86\) 68.8001 + 3.73023i 0.800001 + 0.0433748i
\(87\) −0.275727 7.56433i −0.00316928 0.0869463i
\(88\) 5.28725 1.78148i 0.0600823 0.0202441i
\(89\) 10.3983 + 30.8610i 0.116835 + 0.346753i 0.990076 0.140536i \(-0.0448826\pi\)
−0.873241 + 0.487288i \(0.837986\pi\)
\(90\) 76.6068 22.8214i 0.851187 0.253571i
\(91\) 1.34569 24.8198i 0.0147878 0.272745i
\(92\) −48.4487 51.1467i −0.526617 0.555942i
\(93\) 129.736 + 71.7567i 1.39501 + 0.771578i
\(94\) 0.671327 + 12.3819i 0.00714177 + 0.131722i
\(95\) −90.5761 14.8492i −0.953432 0.156307i
\(96\) −15.9836 5.70301i −0.166496 0.0594063i
\(97\) −86.8064 9.44077i −0.894912 0.0973275i −0.350908 0.936410i \(-0.614127\pi\)
−0.544004 + 0.839083i \(0.683092\pi\)
\(98\) −0.705786 1.17303i −0.00720190 0.0119696i
\(99\) 11.7443 + 13.3135i 0.118629 + 0.134480i
\(100\) −4.67255 28.5013i −0.0467255 0.285013i
\(101\) 68.1621 147.330i 0.674872 1.45871i −0.202687 0.979244i \(-0.564967\pi\)
0.877559 0.479468i \(-0.159170\pi\)
\(102\) 22.1756 + 38.3804i 0.217407 + 0.376279i
\(103\) −31.5652 + 23.9953i −0.306458 + 0.232964i −0.747088 0.664726i \(-0.768548\pi\)
0.440629 + 0.897689i \(0.354755\pi\)
\(104\) −1.09677 10.0847i −0.0105459 0.0969680i
\(105\) −127.004 30.3263i −1.20957 0.288821i
\(106\) −24.6209 61.7939i −0.232273 0.582961i
\(107\) −78.9199 21.9120i −0.737569 0.204785i −0.121626 0.992576i \(-0.538811\pi\)
−0.615943 + 0.787791i \(0.711225\pi\)
\(108\) −2.97601 53.9179i −0.0275556 0.499240i
\(109\) −48.4024 91.2967i −0.444059 0.837584i −0.999980 0.00634906i \(-0.997979\pi\)
0.555921 0.831235i \(-0.312366\pi\)
\(110\) 14.5008 9.83175i 0.131825 0.0893796i
\(111\) 4.00583 3.28211i 0.0360886 0.0295686i
\(112\) 17.9469 + 21.1287i 0.160240 + 0.188649i
\(113\) 57.1486 + 22.7701i 0.505740 + 0.201505i 0.609032 0.793146i \(-0.291558\pi\)
−0.103292 + 0.994651i \(0.532938\pi\)
\(114\) −23.9685 + 57.1864i −0.210250 + 0.501635i
\(115\) −189.555 114.052i −1.64831 0.991752i
\(116\) −1.61127 + 4.78208i −0.0138903 + 0.0412248i
\(117\) 28.2306 15.6502i 0.241287 0.133763i
\(118\) −55.4543 + 62.3444i −0.469951 + 0.528343i
\(119\) 72.4085i 0.608475i
\(120\) −53.1516 3.82798i −0.442930 0.0318998i
\(121\) −100.346 60.3760i −0.829303 0.498975i
\(122\) 31.0104 40.7934i 0.254183 0.334372i
\(123\) −110.608 14.0177i −0.899249 0.113965i
\(124\) −63.9868 75.3310i −0.516022 0.607508i
\(125\) 27.8443 + 60.1844i 0.222754 + 0.481475i
\(126\) −39.8539 + 78.6946i −0.316301 + 0.624561i
\(127\) 105.770 + 199.504i 0.832835 + 1.57089i 0.820975 + 0.570964i \(0.193431\pi\)
0.0118604 + 0.999930i \(0.496225\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) 2.59138 146.138i 0.0200882 1.13286i
\(130\) −11.7902 29.5912i −0.0906940 0.227625i
\(131\) −81.7286 43.3298i −0.623883 0.330762i 0.126300 0.991992i \(-0.459690\pi\)
−0.750183 + 0.661230i \(0.770035\pi\)
\(132\) −4.18514 11.0708i −0.0317056 0.0838700i
\(133\) 80.6359 61.2978i 0.606285 0.460886i
\(134\) 20.5164 5.69635i 0.153108 0.0425101i
\(135\) −54.2989 160.636i −0.402214 1.18990i
\(136\) −4.78079 29.1615i −0.0351528 0.214423i
\(137\) −6.79895 30.8879i −0.0496274 0.225459i 0.945279 0.326263i \(-0.105790\pi\)
−0.994906 + 0.100804i \(0.967859\pi\)
\(138\) −104.683 + 106.659i −0.758571 + 0.772894i
\(139\) −247.767 26.9463i −1.78250 0.193858i −0.843347 0.537369i \(-0.819418\pi\)
−0.939149 + 0.343511i \(0.888384\pi\)
\(140\) 72.0503 + 48.8513i 0.514645 + 0.348938i
\(141\) 26.1967 2.37994i 0.185792 0.0168790i
\(142\) 1.24230 + 22.9130i 0.00874862 + 0.161359i
\(143\) 4.86523 5.13616i 0.0340226 0.0359172i
\(144\) −10.8548 + 34.3245i −0.0753804 + 0.238365i
\(145\) −0.857868 + 15.8224i −0.00591633 + 0.109120i
\(146\) 37.2057 169.027i 0.254834 1.15772i
\(147\) −2.43217 + 1.58685i −0.0165454 + 0.0107949i
\(148\) −3.27174 + 1.10238i −0.0221064 + 0.00744850i
\(149\) −22.3128 + 101.368i −0.149750 + 0.680323i 0.840591 + 0.541671i \(0.182208\pi\)
−0.990341 + 0.138652i \(0.955723\pi\)
\(150\) −60.0591 + 12.1078i −0.400394 + 0.0807184i
\(151\) −39.7222 + 37.6269i −0.263061 + 0.249184i −0.807849 0.589389i \(-0.799369\pi\)
0.544789 + 0.838573i \(0.316610\pi\)
\(152\) 28.4278 30.0108i 0.187025 0.197440i
\(153\) 79.6496 49.9760i 0.520585 0.326641i
\(154\) −3.12785 + 19.0790i −0.0203107 + 0.123890i
\(155\) −256.884 174.172i −1.65732 1.12369i
\(156\) −21.2939 + 3.10434i −0.136499 + 0.0198996i
\(157\) −18.2440 + 10.9770i −0.116204 + 0.0699174i −0.572469 0.819926i \(-0.694014\pi\)
0.456265 + 0.889844i \(0.349187\pi\)
\(158\) 35.5029 + 161.291i 0.224702 + 1.02083i
\(159\) −129.095 + 56.9692i −0.811919 + 0.358297i
\(160\) 32.2427 + 14.9170i 0.201517 + 0.0932315i
\(161\) 235.230 65.3114i 1.46106 0.405661i
\(162\) −114.071 + 10.4753i −0.704144 + 0.0646622i
\(163\) −28.4513 + 3.09427i −0.174548 + 0.0189832i −0.194976 0.980808i \(-0.562463\pi\)
0.0204276 + 0.999791i \(0.493497\pi\)
\(164\) 65.6699 + 34.8160i 0.400426 + 0.212293i
\(165\) −21.9630 29.9806i −0.133109 0.181701i
\(166\) −6.77131 + 24.3880i −0.0407910 + 0.146916i
\(167\) 171.565 + 145.728i 1.02733 + 0.872625i 0.991935 0.126748i \(-0.0404540\pi\)
0.0353989 + 0.999373i \(0.488730\pi\)
\(168\) 43.4042 39.6785i 0.258358 0.236181i
\(169\) 87.6221 + 129.233i 0.518474 + 0.764692i
\(170\) −38.9625 84.2161i −0.229191 0.495389i
\(171\) 123.082 + 46.3923i 0.719780 + 0.271300i
\(172\) −36.0666 + 90.5204i −0.209690 + 0.526281i
\(173\) 66.0047 86.8276i 0.381530 0.501894i −0.564741 0.825268i \(-0.691024\pi\)
0.946271 + 0.323374i \(0.104817\pi\)
\(174\) 10.2621 + 3.04623i 0.0589776 + 0.0175071i
\(175\) 94.8436 + 31.9565i 0.541963 + 0.182609i
\(176\) 7.89033i 0.0448314i
\(177\) 136.450 + 112.741i 0.770903 + 0.636953i
\(178\) −46.0548 −0.258735
\(179\) −86.5672 + 256.922i −0.483616 + 1.43532i 0.377070 + 0.926185i \(0.376932\pi\)
−0.860686 + 0.509136i \(0.829965\pi\)
\(180\) −4.00780 + 112.972i −0.0222656 + 0.627625i
\(181\) −24.1538 18.3613i −0.133447 0.101443i 0.536322 0.844014i \(-0.319813\pi\)
−0.669768 + 0.742570i \(0.733607\pi\)
\(182\) 32.6554 + 13.0111i 0.179425 + 0.0714896i
\(183\) −88.8748 62.5870i −0.485654 0.342006i
\(184\) 90.4235 41.8344i 0.491432 0.227361i
\(185\) −8.97305 + 6.08388i −0.0485030 + 0.0328858i
\(186\) −154.751 + 141.467i −0.831993 + 0.760577i
\(187\) 13.3421 15.7075i 0.0713479 0.0839972i
\(188\) −16.8972 4.69147i −0.0898785 0.0249546i
\(189\) 169.905 + 78.4058i 0.898970 + 0.414846i
\(190\) 60.8012 114.683i 0.320006 0.603596i
\(191\) −5.01349 46.0983i −0.0262486 0.241352i −0.999911 0.0133566i \(-0.995748\pi\)
0.973662 0.227996i \(-0.0732172\pi\)
\(192\) 14.8606 18.8457i 0.0773992 0.0981548i
\(193\) −23.1966 83.5468i −0.120190 0.432885i 0.878831 0.477134i \(-0.158324\pi\)
−0.999021 + 0.0442490i \(0.985911\pi\)
\(194\) 51.8507 112.073i 0.267272 0.577698i
\(195\) −61.8198 + 27.2808i −0.317024 + 0.139902i
\(196\) 1.89077 0.416191i 0.00964681 0.00212342i
\(197\) −49.4089 82.1182i −0.250807 0.416844i 0.705719 0.708492i \(-0.250624\pi\)
−0.956526 + 0.291648i \(0.905796\pi\)
\(198\) −23.1458 + 9.72761i −0.116898 + 0.0491294i
\(199\) 119.980 176.957i 0.602915 0.889233i −0.396672 0.917960i \(-0.629835\pi\)
0.999587 + 0.0287270i \(0.00914535\pi\)
\(200\) 40.3069 + 6.60798i 0.201534 + 0.0330399i
\(201\) −13.6611 43.0528i −0.0679658 0.214193i
\(202\) 166.670 + 157.878i 0.825098 + 0.781575i
\(203\) −12.0255 12.6951i −0.0592387 0.0625375i
\(204\) −61.4504 + 12.3882i −0.301228 + 0.0607267i
\(205\) 227.941 + 50.1737i 1.11191 + 0.244750i
\(206\) −17.9045 53.1385i −0.0869148 0.257954i
\(207\) 234.198 + 213.676i 1.13139 + 1.03225i
\(208\) 14.0106 + 3.08396i 0.0673585 + 0.0148267i
\(209\) 28.7870 + 1.56079i 0.137737 + 0.00746789i
\(210\) 97.9929 156.515i 0.466633 0.745310i
\(211\) 204.066 + 193.302i 0.967139 + 0.916122i 0.996512 0.0834462i \(-0.0265927\pi\)
−0.0293737 + 0.999568i \(0.509351\pi\)
\(212\) 93.9330 5.09290i 0.443080 0.0240231i
\(213\) 48.4775 4.40413i 0.227594 0.0206767i
\(214\) 65.0032 95.8726i 0.303753 0.448003i
\(215\) −33.0816 + 304.180i −0.153868 + 1.41479i
\(216\) 73.6038 + 20.3588i 0.340758 + 0.0942538i
\(217\) 334.494 73.6276i 1.54145 0.339298i
\(218\) 144.211 23.6422i 0.661518 0.108450i
\(219\) −361.198 65.8117i −1.64931 0.300510i
\(220\) 6.62839 + 23.8733i 0.0301290 + 0.108515i
\(221\) −22.6764 29.8303i −0.102608 0.134979i
\(222\) 2.58976 + 6.85062i 0.0116656 + 0.0308587i
\(223\) 157.808 297.657i 0.707658 1.33478i −0.225120 0.974331i \(-0.572277\pi\)
0.932777 0.360453i \(-0.117378\pi\)
\(224\) −36.4204 + 14.5112i −0.162591 + 0.0647823i
\(225\) 30.3083 + 126.385i 0.134704 + 0.561709i
\(226\) −56.3222 + 66.3076i −0.249213 + 0.293396i
\(227\) −371.738 + 197.083i −1.63761 + 0.868206i −0.642848 + 0.765994i \(0.722247\pi\)
−0.994763 + 0.102213i \(0.967408\pi\)
\(228\) −65.8171 57.9454i −0.288671 0.254146i
\(229\) −335.273 + 155.114i −1.46407 + 0.677353i −0.980241 0.197807i \(-0.936618\pi\)
−0.483834 + 0.875160i \(0.660756\pi\)
\(230\) 238.446 202.538i 1.03672 0.880598i
\(231\) 40.6876 + 5.15647i 0.176137 + 0.0223224i
\(232\) −5.68128 4.31880i −0.0244883 0.0186155i
\(233\) −140.903 + 234.183i −0.604735 + 1.00508i 0.391649 + 0.920115i \(0.371905\pi\)
−0.996384 + 0.0849627i \(0.972923\pi\)
\(234\) 8.22636 + 44.9012i 0.0351554 + 0.191886i
\(235\) −55.0659 −0.234323
\(236\) −58.5120 102.471i −0.247932 0.434200i
\(237\) 339.180 87.7265i 1.43114 0.370154i
\(238\) 97.0407 + 32.6968i 0.407734 + 0.137382i
\(239\) −187.826 + 312.170i −0.785884 + 1.30615i 0.161763 + 0.986830i \(0.448282\pi\)
−0.947647 + 0.319320i \(0.896545\pi\)
\(240\) 29.1313 69.5043i 0.121381 0.289601i
\(241\) −32.2397 + 80.9156i −0.133775 + 0.335749i −0.980570 0.196170i \(-0.937150\pi\)
0.846795 + 0.531919i \(0.178529\pi\)
\(242\) 126.227 107.218i 0.521599 0.443050i
\(243\) 31.0213 + 241.012i 0.127660 + 0.991818i
\(244\) 40.6676 + 59.9803i 0.166671 + 0.245821i
\(245\) 5.37118 2.84762i 0.0219232 0.0116229i
\(246\) 68.7323 141.905i 0.279400 0.576849i
\(247\) 14.0229 50.5061i 0.0567730 0.204478i
\(248\) 129.851 51.7375i 0.523594 0.208619i
\(249\) 52.2238 + 12.4700i 0.209734 + 0.0500805i
\(250\) −93.2316 + 10.1395i −0.372926 + 0.0405582i
\(251\) −64.5145 84.8673i −0.257030 0.338117i 0.649420 0.760430i \(-0.275012\pi\)
−0.906450 + 0.422313i \(0.861218\pi\)
\(252\) −87.4689 88.9470i −0.347099 0.352964i
\(253\) 63.0626 + 29.1758i 0.249259 + 0.115320i
\(254\) −315.133 + 51.6634i −1.24068 + 0.203399i
\(255\) −175.520 + 89.1048i −0.688314 + 0.349430i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −5.57243 + 51.2377i −0.0216826 + 0.199368i −0.999969 0.00788992i \(-0.997489\pi\)
0.978286 + 0.207258i \(0.0664541\pi\)
\(258\) 194.682 + 69.4633i 0.754582 + 0.269238i
\(259\) 1.93551 11.8061i 0.00747301 0.0455833i
\(260\) 44.9817 2.43884i 0.173007 0.00938014i
\(261\) 5.66475 21.9902i 0.0217040 0.0842534i
\(262\) 94.9753 89.9654i 0.362501 0.343379i
\(263\) −421.089 22.8308i −1.60110 0.0868090i −0.768191 0.640221i \(-0.778843\pi\)
−0.832908 + 0.553412i \(0.813326\pi\)
\(264\) 16.7268 0.609709i 0.0633591 0.00230950i
\(265\) 279.929 94.3191i 1.05634 0.355921i
\(266\) 45.7384 + 135.747i 0.171949 + 0.510326i
\(267\) 3.55879 + 97.6322i 0.0133288 + 0.365664i
\(268\) −1.63024 + 30.0680i −0.00608299 + 0.112194i
\(269\) −148.238 156.493i −0.551072 0.581760i 0.389639 0.920968i \(-0.372600\pi\)
−0.940711 + 0.339208i \(0.889841\pi\)
\(270\) 239.801 0.233525i 0.888154 0.000864909i
\(271\) 22.9415 + 423.131i 0.0846551 + 1.56137i 0.664902 + 0.746930i \(0.268473\pi\)
−0.580247 + 0.814440i \(0.697044\pi\)
\(272\) 41.2406 + 6.76105i 0.151620 + 0.0248568i
\(273\) 25.0590 70.2320i 0.0917913 0.257260i
\(274\) 44.4657 + 4.83593i 0.162283 + 0.0176494i
\(275\) 14.6860 + 24.4083i 0.0534035 + 0.0887573i
\(276\) −95.6725 188.457i −0.346640 0.682816i
\(277\) 55.8134 + 340.446i 0.201492 + 1.22905i 0.872877 + 0.487940i \(0.162251\pi\)
−0.671385 + 0.741109i \(0.734300\pi\)
\(278\) 147.995 319.885i 0.532355 1.15067i
\(279\) 311.857 + 317.127i 1.11777 + 1.13665i
\(280\) −98.0048 + 74.5013i −0.350017 + 0.266076i
\(281\) 18.6571 + 171.549i 0.0663954 + 0.610496i 0.979313 + 0.202352i \(0.0648584\pi\)
−0.912917 + 0.408144i \(0.866176\pi\)
\(282\) −8.63982 + 36.1830i −0.0306377 + 0.128309i
\(283\) −4.51120 11.3223i −0.0159406 0.0400080i 0.920791 0.390056i \(-0.127544\pi\)
−0.936732 + 0.350048i \(0.886165\pi\)
\(284\) −31.2686 8.68167i −0.110101 0.0305693i
\(285\) −247.817 120.031i −0.869533 0.421163i
\(286\) 4.68646 + 8.83960i 0.0163862 + 0.0309077i
\(287\) −213.185 + 144.543i −0.742804 + 0.503634i
\(288\) −41.0996 30.0470i −0.142707 0.104330i
\(289\) 116.428 + 137.070i 0.402866 + 0.474291i
\(290\) −20.8176 8.29449i −0.0717848 0.0286017i
\(291\) −241.593 101.259i −0.830215 0.347968i
\(292\) 209.727 + 126.189i 0.718244 + 0.432153i
\(293\) 161.788 480.170i 0.552177 1.63880i −0.199964 0.979803i \(-0.564083\pi\)
0.752142 0.659001i \(-0.229021\pi\)
\(294\) −1.02839 3.97612i −0.00349794 0.0135242i
\(295\) −263.119 260.887i −0.891929 0.884363i
\(296\) 4.88253i 0.0164950i
\(297\) 22.4102 + 48.3154i 0.0754553 + 0.162678i
\(298\) −125.776 75.6772i −0.422069 0.253950i
\(299\) 76.4547 100.574i 0.255701 0.336369i
\(300\) 10.8937 85.9577i 0.0363123 0.286526i
\(301\) −218.595 257.350i −0.726229 0.854983i
\(302\) −32.4899 70.2258i −0.107583 0.232536i
\(303\) 321.809 365.525i 1.06207 1.20635i
\(304\) 27.3832 + 51.6502i 0.0900763 + 0.169902i
\(305\) 173.433 + 147.315i 0.568633 + 0.483001i
\(306\) 31.0105 + 129.312i 0.101341 + 0.422589i
\(307\) 140.844 + 353.491i 0.458774 + 1.15144i 0.958459 + 0.285229i \(0.0920698\pi\)
−0.499685 + 0.866207i \(0.666551\pi\)
\(308\) −24.1570 12.8072i −0.0784318 0.0415819i
\(309\) −111.265 + 42.0620i −0.360082 + 0.136123i
\(310\) 349.421 265.623i 1.12716 0.856848i
\(311\) 50.1789 13.9321i 0.161347 0.0447977i −0.185916 0.982566i \(-0.559525\pi\)
0.347262 + 0.937768i \(0.387111\pi\)
\(312\) 5.45509 29.9395i 0.0174843 0.0959599i
\(313\) 6.39363 + 38.9994i 0.0204269 + 0.124599i 0.995072 0.0991599i \(-0.0316155\pi\)
−0.974645 + 0.223759i \(0.928167\pi\)
\(314\) −6.47298 29.4071i −0.0206146 0.0936531i
\(315\) −339.371 195.642i −1.07737 0.621086i
\(316\) −232.192 25.2524i −0.734784 0.0799126i
\(317\) 484.325 + 328.381i 1.52784 + 1.03590i 0.979925 + 0.199367i \(0.0638885\pi\)
0.547915 + 0.836534i \(0.315422\pi\)
\(318\) −18.0550 198.736i −0.0567767 0.624956i
\(319\) −0.269452 4.96976i −0.000844679 0.0155792i
\(320\) −34.5511 + 36.4752i −0.107972 + 0.113985i
\(321\) −208.264 130.393i −0.648799 0.406208i
\(322\) −18.6915 + 344.744i −0.0580480 + 1.07063i
\(323\) 32.8248 149.125i 0.101625 0.461686i
\(324\) 37.4713 157.607i 0.115652 0.486441i
\(325\) 49.0809 16.5373i 0.151018 0.0508840i
\(326\) 8.70060 39.5272i 0.0266890 0.121249i
\(327\) −61.2630 303.888i −0.187349 0.929321i
\(328\) −76.3138 + 72.2882i −0.232664 + 0.220391i
\(329\) 41.7901 44.1173i 0.127022 0.134095i
\(330\) 50.0971 15.8964i 0.151809 0.0481708i
\(331\) 85.1515 519.401i 0.257255 1.56919i −0.469903 0.882718i \(-0.655711\pi\)
0.727158 0.686470i \(-0.240841\pi\)
\(332\) −29.6268 20.0875i −0.0892374 0.0605044i
\(333\) 14.3226 6.01944i 0.0430108 0.0180764i
\(334\) −272.775 + 164.123i −0.816691 + 0.491387i
\(335\) 20.3266 + 92.3445i 0.0606763 + 0.275655i
\(336\) 33.5768 + 76.0868i 0.0999311 + 0.226449i
\(337\) 18.0847 + 8.36686i 0.0536637 + 0.0248275i 0.446537 0.894765i \(-0.352657\pi\)
−0.392874 + 0.919592i \(0.628519\pi\)
\(338\) −212.763 + 59.0732i −0.629475 + 0.174773i
\(339\) 144.918 + 114.274i 0.427488 + 0.337092i
\(340\) 130.459 14.1883i 0.383703 0.0417302i
\(341\) 86.1280 + 45.6622i 0.252575 + 0.133907i
\(342\) −117.753 + 144.004i −0.344308 + 0.421064i
\(343\) −92.6461 + 333.681i −0.270105 + 0.972831i
\(344\) −105.028 89.2113i −0.305313 0.259335i
\(345\) −447.787 489.833i −1.29793 1.41981i
\(346\) 86.5599 + 127.666i 0.250173 + 0.368978i
\(347\) −87.9789 190.163i −0.253542 0.548021i 0.738452 0.674306i \(-0.235557\pi\)
−0.991994 + 0.126284i \(0.959695\pi\)
\(348\) −8.71647 + 12.3775i −0.0250473 + 0.0355677i
\(349\) 56.3234 141.361i 0.161385 0.405046i −0.825940 0.563758i \(-0.809355\pi\)
0.987325 + 0.158712i \(0.0507342\pi\)
\(350\) −85.6553 + 112.678i −0.244729 + 0.321936i
\(351\) 94.5510 20.9088i 0.269376 0.0595693i
\(352\) −10.5745 3.56296i −0.0300412 0.0101220i
\(353\) 539.801i 1.52918i −0.644517 0.764590i \(-0.722941\pi\)
0.644517 0.764590i \(-0.277059\pi\)
\(354\) −212.709 + 131.959i −0.600872 + 0.372765i
\(355\) −101.901 −0.287044
\(356\) 20.7965 61.7219i 0.0584173 0.173376i
\(357\) 61.8158 208.244i 0.173153 0.583318i
\(358\) −305.233 232.032i −0.852606 0.648134i
\(359\) −205.669 81.9460i −0.572894 0.228262i 0.0656558 0.997842i \(-0.479086\pi\)
−0.638550 + 0.769580i \(0.720465\pi\)
\(360\) −149.594 56.3851i −0.415539 0.156625i
\(361\) −133.778 + 61.8922i −0.370575 + 0.171446i
\(362\) 35.5144 24.0794i 0.0981061 0.0665176i
\(363\) −237.047 259.305i −0.653022 0.714339i
\(364\) −32.1832 + 37.8889i −0.0884153 + 0.104091i
\(365\) 740.566 + 205.617i 2.02895 + 0.563335i
\(366\) 124.010 90.8467i 0.338826 0.248215i
\(367\) 194.209 366.317i 0.529180 0.998138i −0.464467 0.885591i \(-0.653754\pi\)
0.993646 0.112548i \(-0.0359012\pi\)
\(368\) 15.2341 + 140.075i 0.0413969 + 0.380638i
\(369\) −306.137 134.741i −0.829639 0.365152i
\(370\) −4.10164 14.7728i −0.0110855 0.0399264i
\(371\) −136.875 + 295.851i −0.368936 + 0.797443i
\(372\) −119.713 271.276i −0.321809 0.729236i
\(373\) −290.918 + 64.0359i −0.779941 + 0.171678i −0.587059 0.809544i \(-0.699714\pi\)
−0.192882 + 0.981222i \(0.561783\pi\)
\(374\) 15.0262 + 24.9737i 0.0401769 + 0.0667746i
\(375\) 28.6992 + 196.859i 0.0765313 + 0.524958i
\(376\) 13.9175 20.5268i 0.0370147 0.0545926i
\(377\) −8.92994 1.46399i −0.0236868 0.00388326i
\(378\) −181.801 + 192.300i −0.480954 + 0.508729i
\(379\) 322.661 + 305.641i 0.851349 + 0.806441i 0.982760 0.184887i \(-0.0591920\pi\)
−0.131410 + 0.991328i \(0.541951\pi\)
\(380\) 126.241 + 133.271i 0.332214 + 0.350714i
\(381\) 133.873 + 664.062i 0.351373 + 1.74295i
\(382\) 64.0441 + 14.0972i 0.167655 + 0.0369036i
\(383\) 124.114 + 368.358i 0.324058 + 0.961770i 0.978605 + 0.205748i \(0.0659629\pi\)
−0.654547 + 0.756021i \(0.727141\pi\)
\(384\) 18.5463 + 28.4260i 0.0482975 + 0.0740260i
\(385\) −83.8493 18.4566i −0.217790 0.0479393i
\(386\) 122.443 + 6.63865i 0.317209 + 0.0171986i
\(387\) 132.212 418.077i 0.341634 1.08030i
\(388\) 126.785 + 120.097i 0.326766 + 0.309530i
\(389\) −170.991 + 9.27088i −0.439566 + 0.0238326i −0.272594 0.962129i \(-0.587882\pi\)
−0.166972 + 0.985962i \(0.553399\pi\)
\(390\) −8.64599 95.1688i −0.0221692 0.244023i
\(391\) 206.531 304.611i 0.528213 0.779056i
\(392\) −0.296027 + 2.72192i −0.000755170 + 0.00694368i
\(393\) −198.058 194.387i −0.503964 0.494624i
\(394\) 132.365 29.1357i 0.335951 0.0739484i
\(395\) −723.743 + 118.652i −1.83226 + 0.300384i
\(396\) −2.58506 35.4122i −0.00652793 0.0894249i
\(397\) 179.927 + 648.037i 0.453216 + 1.63234i 0.738759 + 0.673969i \(0.235412\pi\)
−0.285544 + 0.958366i \(0.592174\pi\)
\(398\) 182.977 + 240.702i 0.459742 + 0.604780i
\(399\) 284.237 107.451i 0.712372 0.269300i
\(400\) −27.0569 + 51.0347i −0.0676423 + 0.127587i
\(401\) −289.938 + 115.522i −0.723038 + 0.288085i −0.702479 0.711704i \(-0.747924\pi\)
−0.0205583 + 0.999789i \(0.506544\pi\)
\(402\) 63.8675 + 1.13252i 0.158874 + 0.00281722i
\(403\) 114.744 135.087i 0.284725 0.335204i
\(404\) −286.847 + 152.077i −0.710018 + 0.376428i
\(405\) −19.0252 508.340i −0.0469758 1.25516i
\(406\) 22.4440 10.3837i 0.0552808 0.0255756i
\(407\) 2.59527 2.20444i 0.00637658 0.00541631i
\(408\) 11.1461 87.9489i 0.0273188 0.215561i
\(409\) 376.129 + 285.926i 0.919631 + 0.699085i 0.953836 0.300330i \(-0.0970966\pi\)
−0.0342045 + 0.999415i \(0.510890\pi\)
\(410\) −170.171 + 282.827i −0.415052 + 0.689821i
\(411\) 6.81576 94.6370i 0.0165834 0.230260i
\(412\) 79.3003 0.192477
\(413\) 408.699 12.8136i 0.989587 0.0310256i
\(414\) −392.120 + 217.380i −0.947150 + 0.525072i
\(415\) −106.515 35.8890i −0.256662 0.0864796i
\(416\) −10.4597 + 17.3841i −0.0251435 + 0.0417888i
\(417\) −689.565 289.017i −1.65363 0.693087i
\(418\) −15.0908 + 37.8751i −0.0361025 + 0.0906104i
\(419\) 319.862 271.693i 0.763393 0.648432i −0.178654 0.983912i \(-0.557174\pi\)
0.942047 + 0.335480i \(0.108898\pi\)
\(420\) 165.509 + 202.005i 0.394070 + 0.480963i
\(421\) 74.8570 + 110.406i 0.177808 + 0.262247i 0.906140 0.422977i \(-0.139015\pi\)
−0.728333 + 0.685224i \(0.759704\pi\)
\(422\) −351.208 + 186.199i −0.832247 + 0.441229i
\(423\) 77.3725 + 15.5197i 0.182914 + 0.0366896i
\(424\) −35.5910 + 128.187i −0.0839411 + 0.302328i
\(425\) 140.159 55.8446i 0.329787 0.131399i
\(426\) −15.9882 + 66.9574i −0.0375309 + 0.157177i
\(427\) −249.645 + 27.1506i −0.584649 + 0.0635844i
\(428\) 99.1340 + 130.409i 0.231622 + 0.304693i
\(429\) 18.3770 10.6179i 0.0428369 0.0247504i
\(430\) −392.719 181.691i −0.913301 0.422538i
\(431\) −56.4379 + 9.25252i −0.130946 + 0.0214676i −0.226899 0.973918i \(-0.572859\pi\)
0.0959523 + 0.995386i \(0.469410\pi\)
\(432\) −60.5211 + 89.4494i −0.140095 + 0.207059i
\(433\) 219.387 132.001i 0.506668 0.304852i −0.239172 0.970977i \(-0.576876\pi\)
0.745840 + 0.666125i \(0.232048\pi\)
\(434\) −52.3696 + 481.530i −0.120667 + 1.10952i
\(435\) −15.9750 + 44.7724i −0.0367240 + 0.102925i
\(436\) −33.4351 + 203.945i −0.0766860 + 0.467764i
\(437\) 514.062 27.8716i 1.17634 0.0637795i
\(438\) 251.303 454.354i 0.573750 1.03734i
\(439\) −236.703 + 224.217i −0.539187 + 0.510745i −0.908119 0.418711i \(-0.862482\pi\)
0.368933 + 0.929456i \(0.379723\pi\)
\(440\) −34.9877 1.89698i −0.0795176 0.00431132i
\(441\) −8.34955 + 2.48735i −0.0189332 + 0.00564025i
\(442\) 50.2179 16.9204i 0.113615 0.0382814i
\(443\) −139.461 413.904i −0.314809 0.934321i −0.981909 0.189353i \(-0.939361\pi\)
0.667100 0.744968i \(-0.267536\pi\)
\(444\) −10.3505 + 0.377287i −0.0233120 + 0.000849746i
\(445\) 11.0724 204.219i 0.0248819 0.458919i
\(446\) 327.655 + 345.901i 0.734653 + 0.775564i
\(447\) −150.710 + 272.483i −0.337158 + 0.609581i
\(448\) −3.00168 55.3628i −0.00670018 0.123578i
\(449\) 113.590 + 18.6221i 0.252985 + 0.0414747i 0.286940 0.957949i \(-0.407362\pi\)
−0.0339552 + 0.999423i \(0.510810\pi\)
\(450\) −183.065 16.4515i −0.406810 0.0365589i
\(451\) −72.8795 7.92613i −0.161595 0.0175746i
\(452\) −63.4315 105.424i −0.140335 0.233239i
\(453\) −146.362 + 74.3024i −0.323095 + 0.164023i
\(454\) −96.2652 587.192i −0.212038 1.29337i
\(455\) −65.5455 + 141.674i −0.144056 + 0.311372i
\(456\) 107.378 62.0411i 0.235478 0.136055i
\(457\) −76.8193 + 58.3965i −0.168095 + 0.127782i −0.685839 0.727753i \(-0.740565\pi\)
0.517745 + 0.855535i \(0.326772\pi\)
\(458\) −56.4850 519.371i −0.123330 1.13400i
\(459\) 271.734 75.7318i 0.592014 0.164993i
\(460\) 163.765 + 411.019i 0.356011 + 0.893519i
\(461\) 332.358 + 92.2786i 0.720949 + 0.200171i 0.608576 0.793496i \(-0.291741\pi\)
0.112373 + 0.993666i \(0.464155\pi\)
\(462\) −25.2835 + 52.2004i −0.0547262 + 0.112988i
\(463\) −353.087 665.992i −0.762606 1.43843i −0.894455 0.447158i \(-0.852436\pi\)
0.131849 0.991270i \(-0.457909\pi\)
\(464\) 8.35343 5.66377i 0.0180031 0.0122064i
\(465\) −590.098 720.216i −1.26903 1.54885i
\(466\) −250.222 294.584i −0.536957 0.632155i
\(467\) −293.224 116.831i −0.627889 0.250174i 0.0344168 0.999408i \(-0.489043\pi\)
−0.662306 + 0.749234i \(0.730422\pi\)
\(468\) −63.8906 9.25079i −0.136518 0.0197667i
\(469\) −89.4099 53.7962i −0.190640 0.114704i
\(470\) 24.8656 73.7984i 0.0529055 0.157018i
\(471\) −61.8402 + 15.9945i −0.131296 + 0.0339587i
\(472\) 163.752 32.1449i 0.346932 0.0681037i
\(473\) 96.1051i 0.203182i
\(474\) −35.5907 + 494.177i −0.0750858 + 1.04257i
\(475\) 180.843 + 108.809i 0.380722 + 0.229073i
\(476\) −87.6395 + 115.288i −0.184117 + 0.242201i
\(477\) −419.908 + 53.6319i −0.880311 + 0.112436i
\(478\) −333.550 392.685i −0.697803 0.821518i
\(479\) 162.193 + 350.574i 0.338607 + 0.731887i 0.999833 0.0183004i \(-0.00582553\pi\)
−0.661226 + 0.750187i \(0.729963\pi\)
\(480\) 79.9940 + 70.4268i 0.166654 + 0.146722i
\(481\) −2.89998 5.46993i −0.00602905 0.0113720i
\(482\) −93.8835 79.7454i −0.194779 0.165447i
\(483\) 732.271 + 12.9849i 1.51609 + 0.0268839i
\(484\) 86.6930 + 217.583i 0.179118 + 0.449551i
\(485\) 484.497 + 256.864i 0.998963 + 0.529616i
\(486\) −337.008 67.2572i −0.693432 0.138389i
\(487\) −389.921 + 296.410i −0.800659 + 0.608645i −0.923420 0.383791i \(-0.874618\pi\)
0.122761 + 0.992436i \(0.460825\pi\)
\(488\) −98.7485 + 27.4174i −0.202354 + 0.0561832i
\(489\) −84.4666 15.3901i −0.172733 0.0314727i
\(490\) 1.39092 + 8.48424i 0.00283861 + 0.0173148i
\(491\) −156.244 709.825i −0.318217 1.44567i −0.815839 0.578279i \(-0.803724\pi\)
0.497622 0.867394i \(-0.334207\pi\)
\(492\) 159.142 + 156.193i 0.323459 + 0.317465i
\(493\) −26.2065 2.85013i −0.0531571 0.00578119i
\(494\) 61.3552 + 41.5999i 0.124201 + 0.0842103i
\(495\) −37.5701 104.973i −0.0758991 0.212067i
\(496\) 10.7020 + 197.387i 0.0215767 + 0.397958i
\(497\) 77.3335 81.6399i 0.155601 0.164265i
\(498\) −40.2943 + 64.3585i −0.0809123 + 0.129234i
\(499\) −24.8103 + 457.599i −0.0497201 + 0.917033i 0.862175 + 0.506610i \(0.169102\pi\)
−0.911895 + 0.410423i \(0.865381\pi\)
\(500\) 28.5108 129.526i 0.0570217 0.259052i
\(501\) 369.005 + 565.576i 0.736536 + 1.12889i
\(502\) 142.870 48.1385i 0.284602 0.0958935i
\(503\) 207.698 943.583i 0.412919 1.87591i −0.0656215 0.997845i \(-0.520903\pi\)
0.478541 0.878065i \(-0.341166\pi\)
\(504\) 158.703 77.0594i 0.314886 0.152896i
\(505\) −740.142 + 701.100i −1.46563 + 1.38832i
\(506\) −67.5776 + 71.3408i −0.133552 + 0.140990i
\(507\) 141.671 + 446.473i 0.279430 + 0.880618i
\(508\) 73.0631 445.665i 0.143825 0.877294i
\(509\) −648.324 439.575i −1.27372 0.863605i −0.278423 0.960459i \(-0.589812\pi\)
−0.995299 + 0.0968537i \(0.969122\pi\)
\(510\) −40.1589 275.465i −0.0787428 0.540128i
\(511\) −726.758 + 437.276i −1.42223 + 0.855726i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) 314.375 + 238.499i 0.612817 + 0.464910i
\(514\) −66.1516 30.6050i −0.128700 0.0595428i
\(515\) 239.934 66.6175i 0.465892 0.129354i
\(516\) −181.004 + 229.543i −0.350784 + 0.444851i
\(517\) 17.1946 1.87002i 0.0332583 0.00361706i
\(518\) 14.9483 + 7.92510i 0.0288578 + 0.0152994i
\(519\) 263.953 193.365i 0.508579 0.372571i
\(520\) −17.0435 + 61.3850i −0.0327759 + 0.118048i
\(521\) −644.553 547.488i −1.23714 1.05084i −0.996782 0.0801573i \(-0.974458\pi\)
−0.240363 0.970683i \(-0.577266\pi\)
\(522\) 26.9129 + 17.5217i 0.0515572 + 0.0335665i
\(523\) −271.558 400.518i −0.519232 0.765810i 0.474178 0.880429i \(-0.342745\pi\)
−0.993409 + 0.114620i \(0.963435\pi\)
\(524\) 77.6830 + 167.909i 0.148250 + 0.320437i
\(525\) 245.485 + 172.875i 0.467591 + 0.329285i
\(526\) 220.745 554.027i 0.419667 1.05328i
\(527\) 312.465 411.041i 0.592913 0.779963i
\(528\) −6.73604 + 22.6923i −0.0127577 + 0.0429779i
\(529\) 674.555 + 227.284i 1.27515 + 0.429648i
\(530\) 417.747i 0.788203i
\(531\) 296.177 + 440.727i 0.557773 + 0.829994i
\(532\) −202.579 −0.380788
\(533\) −42.5593 + 126.312i −0.0798487 + 0.236982i
\(534\) −132.452 39.3174i −0.248038 0.0736281i
\(535\) 409.496 + 311.291i 0.765412 + 0.581851i
\(536\) −39.5605 15.7623i −0.0738069 0.0294074i
\(537\) −468.301 + 664.997i −0.872070 + 1.23836i
\(538\) 276.669 128.001i 0.514254 0.237919i
\(539\) −1.58047 + 1.07159i −0.00293223 + 0.00198810i
\(540\) −107.972 + 321.484i −0.199948 + 0.595340i
\(541\) −216.772 + 255.204i −0.400687 + 0.471726i −0.925092 0.379744i \(-0.876012\pi\)
0.524404 + 0.851469i \(0.324288\pi\)
\(542\) −577.434 160.324i −1.06538 0.295800i
\(543\) −53.7904 73.4267i −0.0990616 0.135224i
\(544\) −27.6837 + 52.2170i −0.0508891 + 0.0959871i
\(545\) 70.1646 + 645.153i 0.128742 + 1.18377i
\(546\) 82.8081 + 65.2977i 0.151663 + 0.119593i
\(547\) 6.71986 + 24.2027i 0.0122849 + 0.0442463i 0.969438 0.245335i \(-0.0788978\pi\)
−0.957154 + 0.289581i \(0.906484\pi\)
\(548\) −26.5600 + 57.4085i −0.0484671 + 0.104760i
\(549\) −202.170 255.871i −0.368251 0.466068i
\(550\) −39.3432 + 8.66009i −0.0715330 + 0.0157456i
\(551\) −19.0113 31.5970i −0.0345032 0.0573448i
\(552\) 295.769 43.1189i 0.535814 0.0781139i
\(553\) 454.196 669.888i 0.821330 1.21137i
\(554\) −481.464 78.9320i −0.869069 0.142477i
\(555\) −31.0000 + 9.83666i −0.0558559 + 0.0177237i
\(556\) 361.877 + 342.788i 0.650857 + 0.616525i
\(557\) −121.293 128.047i −0.217761 0.229887i 0.607958 0.793969i \(-0.291989\pi\)
−0.825719 + 0.564082i \(0.809230\pi\)
\(558\) −565.830 + 274.743i −1.01403 + 0.492372i
\(559\) −170.650 37.5630i −0.305278 0.0671968i
\(560\) −55.5904 164.986i −0.0992685 0.294618i
\(561\) 51.7809 33.7840i 0.0923011 0.0602210i
\(562\) −238.333 52.4610i −0.424079 0.0933469i
\(563\) −798.736 43.3062i −1.41871 0.0769205i −0.671254 0.741227i \(-0.734244\pi\)
−0.747460 + 0.664307i \(0.768727\pi\)
\(564\) −44.5905 27.9178i −0.0790612 0.0494996i
\(565\) −280.484 265.689i −0.496432 0.470245i
\(566\) 17.2110 0.933153i 0.0304081 0.00164868i
\(567\) 421.706 + 370.542i 0.743750 + 0.653514i
\(568\) 25.7547 37.9853i 0.0453427 0.0668755i
\(569\) −1.44882 + 13.3217i −0.00254626 + 0.0234125i −0.995342 0.0964053i \(-0.969266\pi\)
0.992796 + 0.119818i \(0.0382310\pi\)
\(570\) 272.768 277.919i 0.478541 0.487577i
\(571\) 1024.07 225.414i 1.79346 0.394770i 0.811575 0.584248i \(-0.198610\pi\)
0.981885 + 0.189478i \(0.0606794\pi\)
\(572\) −13.9629 + 2.28910i −0.0244107 + 0.00400193i
\(573\) 24.9359 136.857i 0.0435181 0.238843i
\(574\) −97.4482 350.977i −0.169770 0.611458i
\(575\) 307.842 + 404.959i 0.535377 + 0.704276i
\(576\) 58.8275 41.5130i 0.102131 0.0720712i
\(577\) −56.3109 + 106.214i −0.0975925 + 0.184079i −0.927501 0.373820i \(-0.878048\pi\)
0.829909 + 0.557899i \(0.188392\pi\)
\(578\) −236.274 + 94.1400i −0.408778 + 0.162872i
\(579\) 4.61185 260.081i 0.00796520 0.449190i
\(580\) 20.5165 24.1539i 0.0353734 0.0416447i
\(581\) 109.589 58.1002i 0.188621 0.100000i
\(582\) 244.799 278.054i 0.420617 0.477756i
\(583\) −84.2061 + 38.9579i −0.144436 + 0.0668231i
\(584\) −263.820 + 224.091i −0.451747 + 0.383718i
\(585\) −201.081 + 25.6827i −0.343729 + 0.0439021i
\(586\) 570.459 + 433.651i 0.973479 + 0.740019i
\(587\) −449.566 + 747.185i −0.765871 + 1.27289i 0.190775 + 0.981634i \(0.438900\pi\)
−0.956646 + 0.291254i \(0.905928\pi\)
\(588\) 5.79311 + 0.417220i 0.00985223 + 0.000709558i
\(589\) 722.264 1.22625
\(590\) 468.451 234.821i 0.793985 0.398002i
\(591\) −71.9932 278.350i −0.121816 0.470981i
\(592\) 6.54348 + 2.20476i 0.0110532 + 0.00372425i
\(593\) 463.561 770.445i 0.781722 1.29923i −0.167891 0.985806i \(-0.553696\pi\)
0.949612 0.313426i \(-0.101477\pi\)
\(594\) −74.8711 + 8.21651i −0.126046 + 0.0138325i
\(595\) −168.316 + 422.442i −0.282885 + 0.709987i
\(596\) 158.217 134.391i 0.265465 0.225488i
\(597\) 496.129 406.495i 0.831037 0.680897i
\(598\) 100.264 + 147.879i 0.167666 + 0.247289i
\(599\) 6.79338 3.60162i 0.0113412 0.00601273i −0.462728 0.886500i \(-0.653129\pi\)
0.474069 + 0.880487i \(0.342785\pi\)
\(600\) 110.280 + 53.4147i 0.183800 + 0.0890244i
\(601\) 292.097 1052.04i 0.486018 1.75048i −0.159960 0.987123i \(-0.551137\pi\)
0.645978 0.763356i \(-0.276450\pi\)
\(602\) 443.605 176.748i 0.736886 0.293602i
\(603\) −2.53438 135.481i −0.00420295 0.224678i
\(604\) 108.787 11.8313i 0.180110 0.0195882i
\(605\) 445.086 + 585.500i 0.735679 + 0.967769i
\(606\) 344.555 + 596.340i 0.568573 + 0.984059i
\(607\) −365.799 169.237i −0.602635 0.278808i 0.0947551 0.995501i \(-0.469793\pi\)
−0.697390 + 0.716692i \(0.745655\pi\)
\(608\) −81.5859 + 13.3753i −0.134187 + 0.0219989i
\(609\) −23.7469 46.7770i −0.0389932 0.0768095i
\(610\) −275.745 + 165.910i −0.452041 + 0.271984i
\(611\) 3.40002 31.2627i 0.00556468 0.0511664i
\(612\) −187.305 16.8326i −0.306054 0.0275043i
\(613\) 180.896 1103.41i 0.295099 1.80002i −0.257178 0.966364i \(-0.582793\pi\)
0.552277 0.833660i \(-0.313759\pi\)
\(614\) −537.343 + 29.1339i −0.875151 + 0.0474493i
\(615\) 612.718 + 338.893i 0.996289 + 0.551046i
\(616\) 28.0724 26.5916i 0.0455720 0.0431681i
\(617\) 993.973 + 53.8917i 1.61098 + 0.0873447i 0.837485 0.546460i \(-0.184025\pi\)
0.773493 + 0.633805i \(0.218508\pi\)
\(618\) −6.12777 168.110i −0.00991548 0.272022i
\(619\) 665.470 224.223i 1.07507 0.362234i 0.274572 0.961566i \(-0.411464\pi\)
0.800500 + 0.599332i \(0.204567\pi\)
\(620\) 198.199 + 588.233i 0.319675 + 0.948763i
\(621\) 491.127 + 814.463i 0.790865 + 1.31153i
\(622\) −3.98723 + 73.5401i −0.00641034 + 0.118232i
\(623\) 155.212 + 163.855i 0.249136 + 0.263009i
\(624\) 37.6611 + 20.8303i 0.0603544 + 0.0333819i
\(625\) −42.0921 776.343i −0.0673473 1.24215i
\(626\) −55.1535 9.04196i −0.0881046 0.0144440i
\(627\) 81.4581 + 29.0645i 0.129917 + 0.0463549i
\(628\) 42.3338 + 4.60408i 0.0674105 + 0.00733134i
\(629\) −9.29818 15.4537i −0.0147825 0.0245687i
\(630\) 415.443 366.475i 0.659433 0.581706i
\(631\) 99.8661 + 609.157i 0.158266 + 0.965383i 0.939851 + 0.341584i \(0.110963\pi\)
−0.781585 + 0.623799i \(0.785588\pi\)
\(632\) 138.691 299.777i 0.219448 0.474330i
\(633\) 421.864 + 730.143i 0.666452 + 1.15346i
\(634\) −658.793 + 500.801i −1.03910 + 0.789907i
\(635\) −153.325 1409.80i −0.241457 2.22016i
\(636\) 274.496 + 65.5444i 0.431597 + 0.103057i
\(637\) 1.28504 + 3.22522i 0.00201734 + 0.00506313i
\(638\) 6.78206 + 1.88303i 0.0106302 + 0.00295146i
\(639\) 143.179 + 28.7195i 0.224068 + 0.0449445i
\(640\) −33.2815 62.7756i −0.0520023 0.0980868i
\(641\) −650.067 + 440.756i −1.01414 + 0.687607i −0.950615 0.310373i \(-0.899546\pi\)
−0.0635296 + 0.997980i \(0.520236\pi\)
\(642\) 268.794 220.232i 0.418683 0.343041i
\(643\) −191.796 225.800i −0.298284 0.351167i 0.592519 0.805556i \(-0.298133\pi\)
−0.890803 + 0.454389i \(0.849857\pi\)
\(644\) −453.580 180.723i −0.704317 0.280625i
\(645\) −354.823 + 846.571i −0.550114 + 1.31251i
\(646\) 185.032 + 111.330i 0.286427 + 0.172338i
\(647\) 192.648 571.758i 0.297755 0.883706i −0.689462 0.724322i \(-0.742153\pi\)
0.987217 0.159384i \(-0.0509507\pi\)
\(648\) 194.302 + 121.387i 0.299848 + 0.187326i
\(649\) 91.0197 + 72.5277i 0.140246 + 0.111753i
\(650\) 73.2451i 0.112685i
\(651\) 1024.85 + 73.8097i 1.57427 + 0.113379i
\(652\) 49.0449 + 29.5093i 0.0752223 + 0.0452597i
\(653\) 52.7488 69.3899i 0.0807792 0.106263i −0.753928 0.656957i \(-0.771843\pi\)
0.834708 + 0.550693i \(0.185637\pi\)
\(654\) 434.930 + 55.1201i 0.665030 + 0.0842815i
\(655\) 376.096 + 442.774i 0.574192 + 0.675991i
\(656\) −62.4192 134.917i −0.0951513 0.205666i
\(657\) −982.610 497.630i −1.49560 0.757428i
\(658\) 40.2545 + 75.9280i 0.0611771 + 0.115392i
\(659\) 436.087 + 370.415i 0.661740 + 0.562087i 0.914071 0.405554i \(-0.132921\pi\)
−0.252331 + 0.967641i \(0.581197\pi\)
\(660\) −1.31783 + 74.3175i −0.00199671 + 0.112602i
\(661\) 8.59465 + 21.5709i 0.0130025 + 0.0326338i 0.935335 0.353764i \(-0.115098\pi\)
−0.922332 + 0.386398i \(0.873719\pi\)
\(662\) 657.642 + 348.660i 0.993417 + 0.526676i
\(663\) −39.7502 105.150i −0.0599551 0.158597i
\(664\) 40.2992 30.6347i 0.0606916 0.0461365i
\(665\) −612.932 + 170.180i −0.921702 + 0.255909i
\(666\) 1.59963 + 21.9131i 0.00240185 + 0.0329025i
\(667\) −14.3788 87.7066i −0.0215574 0.131494i
\(668\) −96.7809 439.680i −0.144882 0.658203i
\(669\) 707.962 721.329i 1.05824 1.07822i
\(670\) −132.937 14.4578i −0.198414 0.0215788i
\(671\) −59.1580 40.1101i −0.0881640 0.0597766i
\(672\) −117.132 + 10.6413i −0.174304 + 0.0158353i
\(673\) 6.73318 + 124.186i 0.0100047 + 0.184526i 0.999264 + 0.0383559i \(0.0122121\pi\)
−0.989259 + 0.146170i \(0.953305\pi\)
\(674\) −19.3795 + 20.4586i −0.0287529 + 0.0303541i
\(675\) −20.7298 + 389.352i −0.0307108 + 0.576818i
\(676\) 16.9062 311.816i 0.0250091 0.461267i
\(677\) 89.4151 406.217i 0.132076 0.600025i −0.863360 0.504589i \(-0.831644\pi\)
0.995436 0.0954367i \(-0.0304247\pi\)
\(678\) −218.588 + 142.616i −0.322401 + 0.210348i
\(679\) −573.482 + 193.229i −0.844598 + 0.284578i
\(680\) −39.8953 + 181.246i −0.0586695 + 0.266538i
\(681\) −1237.36 + 249.448i −1.81697 + 0.366296i
\(682\) −100.088 + 94.8081i −0.146756 + 0.139015i
\(683\) −481.964 + 508.803i −0.705657 + 0.744953i −0.975990 0.217813i \(-0.930108\pi\)
0.270333 + 0.962767i \(0.412866\pi\)
\(684\) −139.819 222.838i −0.204414 0.325786i
\(685\) −32.1341 + 196.010i −0.0469111 + 0.286145i
\(686\) −405.359 274.840i −0.590902 0.400641i
\(687\) −1096.66 + 159.877i −1.59630 + 0.232717i
\(688\) 166.986 100.472i 0.242712 0.146035i
\(689\) 36.2639 + 164.748i 0.0526326 + 0.239112i
\(690\) 858.670 378.928i 1.24445 0.549171i
\(691\) −40.9694 18.9545i −0.0592900 0.0274305i 0.390020 0.920806i \(-0.372468\pi\)
−0.449310 + 0.893376i \(0.648330\pi\)
\(692\) −210.183 + 58.3571i −0.303733 + 0.0843311i
\(693\) 112.614 + 49.5652i 0.162502 + 0.0715226i
\(694\) 294.582 32.0377i 0.424469 0.0461638i
\(695\) 1382.87 + 733.153i 1.98975 + 1.05490i
\(696\) −12.6522 17.2709i −0.0181784 0.0248145i
\(697\) −103.877 + 374.130i −0.149034 + 0.536772i
\(698\) 164.017 + 139.317i 0.234981 + 0.199594i
\(699\) −605.157 + 553.212i −0.865747 + 0.791434i
\(700\) −112.330 165.675i −0.160472 0.236678i
\(701\) −87.8888 189.968i −0.125376 0.270996i 0.834716 0.550681i \(-0.185632\pi\)
−0.960092 + 0.279685i \(0.909770\pi\)
\(702\) −14.6739 + 136.157i −0.0209029 + 0.193956i
\(703\) 9.33819 23.4371i 0.0132833 0.0333387i
\(704\) 9.55005 12.5629i 0.0135654 0.0178450i
\(705\) −158.368 47.0103i −0.224635 0.0666812i
\(706\) 723.432 + 243.753i 1.02469 + 0.345259i
\(707\) 1125.05i 1.59131i
\(708\) −80.7981 344.656i −0.114122 0.486802i
\(709\) −66.1200 −0.0932582 −0.0466291 0.998912i \(-0.514848\pi\)
−0.0466291 + 0.998912i \(0.514848\pi\)
\(710\) 46.0143 136.566i 0.0648089 0.192346i
\(711\) 1050.36 + 37.2626i 1.47730 + 0.0524087i
\(712\) 73.3279 + 55.7424i 0.102989 + 0.0782899i
\(713\) 1617.17 + 644.339i 2.26812 + 0.903701i
\(714\) 251.172 + 176.879i 0.351782 + 0.247730i
\(715\) −40.3238 + 18.6558i −0.0563969 + 0.0260920i
\(716\) 448.797 304.292i 0.626811 0.424988i
\(717\) −806.684 + 737.441i −1.12508 + 1.02851i
\(718\) 202.695 238.631i 0.282305 0.332355i
\(719\) 872.520 + 242.254i 1.21352 + 0.336932i 0.814583 0.580047i \(-0.196966\pi\)
0.398936 + 0.916979i \(0.369380\pi\)
\(720\) 143.117 175.022i 0.198774 0.243087i
\(721\) −128.717 + 242.785i −0.178525 + 0.336734i
\(722\) −22.5381 207.235i −0.0312163 0.287029i
\(723\) −161.799 + 205.187i −0.223788 + 0.283800i
\(724\) 16.2339 + 58.4691i 0.0224225 + 0.0807584i
\(725\) 15.2991 33.0684i 0.0211022 0.0456116i
\(726\) 454.558 200.595i 0.626113 0.276301i
\(727\) 498.850 109.805i 0.686176 0.151039i 0.141819 0.989893i \(-0.454705\pi\)
0.544357 + 0.838854i \(0.316774\pi\)
\(728\) −36.2455 60.2405i −0.0497878 0.0827480i
\(729\) −116.538 + 719.625i −0.159860 + 0.987140i
\(730\) −609.975 + 899.646i −0.835582 + 1.23239i
\(731\) −502.315 82.3504i −0.687162 0.112654i
\(732\) 65.7531 + 207.220i 0.0898266 + 0.283087i
\(733\) −375.046 355.263i −0.511659 0.484670i 0.387757 0.921761i \(-0.373250\pi\)
−0.899417 + 0.437092i \(0.856008\pi\)
\(734\) 403.235 + 425.690i 0.549366 + 0.579959i
\(735\) 17.8784 3.60423i 0.0243243 0.00490372i
\(736\) −194.605 42.8359i −0.264409 0.0582009i
\(737\) −9.48305 28.1447i −0.0128671 0.0381882i
\(738\) 318.817 349.436i 0.432002 0.473490i
\(739\) −334.455 73.6191i −0.452578 0.0996199i −0.0171688 0.999853i \(-0.505465\pi\)
−0.435409 + 0.900233i \(0.643396\pi\)
\(740\) 21.6504 + 1.17385i 0.0292573 + 0.00158628i
\(741\) 83.4470 133.282i 0.112614 0.179868i
\(742\) −334.688 317.033i −0.451062 0.427268i
\(743\) 688.998 37.3564i 0.927319 0.0502778i 0.415711 0.909497i \(-0.363533\pi\)
0.511608 + 0.859219i \(0.329050\pi\)
\(744\) 417.617 37.9401i 0.561313 0.0509947i
\(745\) 365.811 539.531i 0.491021 0.724202i
\(746\) 45.5472 418.800i 0.0610552 0.561393i
\(747\) 139.548 + 80.4473i 0.186811 + 0.107694i
\(748\) −40.2546 + 8.86070i −0.0538163 + 0.0118459i
\(749\) −560.168 + 91.8349i −0.747888 + 0.122610i
\(750\) −276.787 50.4316i −0.369049 0.0672422i
\(751\) 99.4846 + 358.311i 0.132470 + 0.477112i 0.999787