Properties

Label 177.4.e.b.7.5
Level $177$
Weight $4$
Character 177.7
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.b.76.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28887 - 1.90094i) q^{2} +(0.162417 - 2.99560i) q^{3} +(1.00873 - 2.53171i) q^{4} +(8.34074 - 3.85884i) q^{5} +(-5.90378 + 3.55218i) q^{6} +(3.61604 - 13.0238i) q^{7} +(-24.0566 + 5.29526i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-1.28887 - 1.90094i) q^{2} +(0.162417 - 2.99560i) q^{3} +(1.00873 - 2.53171i) q^{4} +(8.34074 - 3.85884i) q^{5} +(-5.90378 + 3.55218i) q^{6} +(3.61604 - 13.0238i) q^{7} +(-24.0566 + 5.29526i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(-18.0855 - 10.8817i) q^{10} +(41.1733 - 39.0014i) q^{11} +(-7.42016 - 3.43293i) q^{12} +(1.22137 - 0.132832i) q^{13} +(-29.4180 + 9.91207i) q^{14} +(-10.2049 - 25.6123i) q^{15} +(25.2434 + 23.9118i) q^{16} +(4.41016 + 15.8839i) q^{17} +(9.68205 + 18.2623i) q^{18} +(78.0681 - 59.3458i) q^{19} +(-1.35594 - 25.0088i) q^{20} +(-38.4268 - 12.9475i) q^{21} +(-127.206 - 28.0002i) q^{22} +(-57.7795 + 108.984i) q^{23} +(11.9553 + 72.9240i) q^{24} +(-26.2460 + 30.8992i) q^{25} +(-1.82669 - 2.15054i) q^{26} +(-4.36811 + 26.6443i) q^{27} +(-29.3249 - 22.2922i) q^{28} +(-28.6233 + 42.2163i) q^{29} +(-35.5345 + 52.4095i) q^{30} +(-251.276 - 191.015i) q^{31} +(-18.9613 + 115.659i) q^{32} +(-110.145 - 129.673i) q^{33} +(24.5103 - 28.8557i) q^{34} +(-20.0963 - 122.582i) q^{35} +(-11.4888 + 21.6703i) q^{36} +(-103.863 - 22.8619i) q^{37} +(-213.432 - 71.9136i) q^{38} +(-0.199541 - 3.68031i) q^{39} +(-180.216 + 136.997i) q^{40} +(206.441 + 389.389i) q^{41} +(24.9146 + 89.7344i) q^{42} +(-124.866 - 118.280i) q^{43} +(-57.2078 - 143.581i) q^{44} +(-78.3815 + 26.4098i) q^{45} +(281.641 - 30.6303i) q^{46} +(414.756 + 191.887i) q^{47} +(75.7302 - 71.7355i) q^{48} +(137.359 + 82.6459i) q^{49} +(92.5650 + 10.0670i) q^{50} +(48.2982 - 10.6312i) q^{51} +(0.895735 - 3.22615i) q^{52} +(-249.105 + 149.882i) q^{53} +(56.2790 - 26.0375i) q^{54} +(192.916 - 484.182i) q^{55} +(-18.0252 + 332.456i) q^{56} +(-165.097 - 243.500i) q^{57} +117.142 q^{58} +(-254.799 - 374.775i) q^{59} -75.1367 q^{60} +(-463.637 - 683.813i) q^{61} +(-39.2462 + 723.853i) q^{62} +(-45.0267 + 113.008i) q^{63} +(496.755 - 229.823i) q^{64} +(9.67455 - 5.82098i) q^{65} +(-104.538 + 376.511i) q^{66} +(650.310 - 143.144i) q^{67} +(44.6622 + 4.85731i) q^{68} +(317.087 + 190.785i) q^{69} +(-207.119 + 196.193i) q^{70} +(615.075 + 284.564i) q^{71} +(220.393 - 23.9692i) q^{72} +(686.138 - 231.187i) q^{73} +(90.4060 + 226.902i) q^{74} +(88.2988 + 83.6411i) q^{75} +(-71.4972 - 257.510i) q^{76} +(-359.062 - 677.264i) q^{77} +(-6.73885 + 5.12274i) q^{78} +(8.66258 + 159.772i) q^{79} +(302.821 + 102.032i) q^{80} +(79.1063 + 17.4126i) q^{81} +(474.128 - 894.300i) q^{82} +(118.788 + 724.575i) q^{83} +(-71.5414 + 84.2250i) q^{84} +(98.0775 + 115.466i) q^{85} +(-63.9060 + 389.809i) q^{86} +(121.814 + 92.6007i) q^{87} +(-783.967 + 1156.27i) q^{88} +(782.189 - 1153.64i) q^{89} +(151.227 + 114.959i) q^{90} +(2.68654 - 16.3872i) q^{91} +(217.632 + 256.216i) q^{92} +(-613.017 + 721.699i) q^{93} +(-169.801 - 1035.74i) q^{94} +(422.140 - 796.240i) q^{95} +(343.388 + 75.5853i) q^{96} +(1013.59 + 341.520i) q^{97} +(-19.9323 - 367.629i) q^{98} +(-406.339 + 308.891i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28887 1.90094i −0.455683 0.672082i 0.528561 0.848895i \(-0.322732\pi\)
−0.984244 + 0.176813i \(0.943421\pi\)
\(3\) 0.162417 2.99560i 0.0312571 0.576504i
\(4\) 1.00873 2.53171i 0.126091 0.316464i
\(5\) 8.34074 3.85884i 0.746018 0.345145i −0.00977758 0.999952i \(-0.503112\pi\)
0.755796 + 0.654807i \(0.227250\pi\)
\(6\) −5.90378 + 3.55218i −0.401701 + 0.241696i
\(7\) 3.61604 13.0238i 0.195248 0.703219i −0.799482 0.600690i \(-0.794893\pi\)
0.994730 0.102529i \(-0.0326935\pi\)
\(8\) −24.0566 + 5.29526i −1.06316 + 0.234020i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) −18.0855 10.8817i −0.571913 0.344109i
\(11\) 41.1733 39.0014i 1.12857 1.06903i 0.131591 0.991304i \(-0.457991\pi\)
0.996974 0.0777302i \(-0.0247673\pi\)
\(12\) −7.42016 3.43293i −0.178501 0.0825835i
\(13\) 1.22137 0.132832i 0.0260575 0.00283392i −0.0950810 0.995470i \(-0.530311\pi\)
0.121138 + 0.992636i \(0.461345\pi\)
\(14\) −29.4180 + 9.91207i −0.561592 + 0.189222i
\(15\) −10.2049 25.6123i −0.175659 0.440870i
\(16\) 25.2434 + 23.9118i 0.394428 + 0.373622i
\(17\) 4.41016 + 15.8839i 0.0629188 + 0.226613i 0.988324 0.152366i \(-0.0486891\pi\)
−0.925405 + 0.378979i \(0.876275\pi\)
\(18\) 9.68205 + 18.2623i 0.126782 + 0.239137i
\(19\) 78.0681 59.3458i 0.942634 0.716572i −0.0163990 0.999866i \(-0.505220\pi\)
0.959033 + 0.283294i \(0.0914271\pi\)
\(20\) −1.35594 25.0088i −0.0151599 0.279607i
\(21\) −38.4268 12.9475i −0.399305 0.134542i
\(22\) −127.206 28.0002i −1.23275 0.271348i
\(23\) −57.7795 + 108.984i −0.523820 + 0.988029i 0.470581 + 0.882357i \(0.344044\pi\)
−0.994401 + 0.105673i \(0.966300\pi\)
\(24\) 11.9553 + 72.9240i 0.101682 + 0.620231i
\(25\) −26.2460 + 30.8992i −0.209968 + 0.247194i
\(26\) −1.82669 2.15054i −0.0137786 0.0162214i
\(27\) −4.36811 + 26.6443i −0.0311350 + 0.189915i
\(28\) −29.3249 22.2922i −0.197924 0.150458i
\(29\) −28.6233 + 42.2163i −0.183283 + 0.270323i −0.908220 0.418493i \(-0.862559\pi\)
0.724937 + 0.688815i \(0.241869\pi\)
\(30\) −35.5345 + 52.4095i −0.216256 + 0.318954i
\(31\) −251.276 191.015i −1.45582 1.10669i −0.972955 0.230996i \(-0.925801\pi\)
−0.482870 0.875692i \(-0.660405\pi\)
\(32\) −18.9613 + 115.659i −0.104747 + 0.638930i
\(33\) −110.145 129.673i −0.581026 0.684037i
\(34\) 24.5103 28.8557i 0.123632 0.145550i
\(35\) −20.0963 122.582i −0.0970539 0.592003i
\(36\) −11.4888 + 21.6703i −0.0531891 + 0.100325i
\(37\) −103.863 22.8619i −0.461484 0.101580i −0.0218575 0.999761i \(-0.506958\pi\)
−0.439626 + 0.898181i \(0.644889\pi\)
\(38\) −213.432 71.9136i −0.911138 0.306998i
\(39\) −0.199541 3.68031i −0.000819284 0.0151108i
\(40\) −180.216 + 136.997i −0.712367 + 0.541527i
\(41\) 206.441 + 389.389i 0.786357 + 1.48323i 0.873390 + 0.487021i \(0.161916\pi\)
−0.0870334 + 0.996205i \(0.527739\pi\)
\(42\) 24.9146 + 89.7344i 0.0915336 + 0.329674i
\(43\) −124.866 118.280i −0.442835 0.419476i 0.433518 0.901145i \(-0.357272\pi\)
−0.876353 + 0.481669i \(0.840031\pi\)
\(44\) −57.2078 143.581i −0.196009 0.491946i
\(45\) −78.3815 + 26.4098i −0.259654 + 0.0874876i
\(46\) 281.641 30.6303i 0.902733 0.0981781i
\(47\) 414.756 + 191.887i 1.28720 + 0.595522i 0.939649 0.342139i \(-0.111151\pi\)
0.347551 + 0.937661i \(0.387013\pi\)
\(48\) 75.7302 71.7355i 0.227723 0.215711i
\(49\) 137.359 + 82.6459i 0.400462 + 0.240950i
\(50\) 92.5650 + 10.0670i 0.261813 + 0.0284739i
\(51\) 48.2982 10.6312i 0.132610 0.0291896i
\(52\) 0.895735 3.22615i 0.00238877 0.00860358i
\(53\) −249.105 + 149.882i −0.645608 + 0.388449i −0.800373 0.599502i \(-0.795365\pi\)
0.154765 + 0.987951i \(0.450538\pi\)
\(54\) 56.2790 26.0375i 0.141826 0.0656157i
\(55\) 192.916 484.182i 0.472959 1.18704i
\(56\) −18.0252 + 332.456i −0.0430129 + 0.793327i
\(57\) −165.097 243.500i −0.383642 0.565830i
\(58\) 117.142 0.265198
\(59\) −254.799 374.775i −0.562238 0.826976i
\(60\) −75.1367 −0.161668
\(61\) −463.637 683.813i −0.973157 1.43530i −0.898947 0.438057i \(-0.855667\pi\)
−0.0742096 0.997243i \(-0.523643\pi\)
\(62\) −39.2462 + 723.853i −0.0803914 + 1.48273i
\(63\) −45.0267 + 113.008i −0.0900448 + 0.225996i
\(64\) 496.755 229.823i 0.970225 0.448874i
\(65\) 9.67455 5.82098i 0.0184612 0.0111078i
\(66\) −104.538 + 376.511i −0.194965 + 0.702201i
\(67\) 650.310 143.144i 1.18579 0.261012i 0.422073 0.906562i \(-0.361303\pi\)
0.763718 + 0.645550i \(0.223372\pi\)
\(68\) 44.6622 + 4.85731i 0.0796483 + 0.00866228i
\(69\) 317.087 + 190.785i 0.553229 + 0.332867i
\(70\) −207.119 + 196.193i −0.353649 + 0.334994i
\(71\) 615.075 + 284.564i 1.02811 + 0.475655i 0.860098 0.510129i \(-0.170402\pi\)
0.168014 + 0.985785i \(0.446265\pi\)
\(72\) 220.393 23.9692i 0.360744 0.0392332i
\(73\) 686.138 231.187i 1.10009 0.370662i 0.290032 0.957017i \(-0.406334\pi\)
0.810055 + 0.586354i \(0.199437\pi\)
\(74\) 90.4060 + 226.902i 0.142020 + 0.356443i
\(75\) 88.2988 + 83.6411i 0.135945 + 0.128774i
\(76\) −71.4972 257.510i −0.107912 0.388663i
\(77\) −359.062 677.264i −0.531415 1.00236i
\(78\) −6.73885 + 5.12274i −0.00978236 + 0.00743636i
\(79\) 8.66258 + 159.772i 0.0123369 + 0.227541i 0.998199 + 0.0599842i \(0.0191050\pi\)
−0.985862 + 0.167557i \(0.946412\pi\)
\(80\) 302.821 + 102.032i 0.423205 + 0.142594i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) 474.128 894.300i 0.638521 1.20438i
\(83\) 118.788 + 724.575i 0.157092 + 0.958222i 0.941263 + 0.337676i \(0.109641\pi\)
−0.784170 + 0.620546i \(0.786911\pi\)
\(84\) −71.5414 + 84.2250i −0.0929263 + 0.109401i
\(85\) 98.0775 + 115.466i 0.125153 + 0.147341i
\(86\) −63.9060 + 389.809i −0.0801297 + 0.488770i
\(87\) 121.814 + 92.6007i 0.150113 + 0.114113i
\(88\) −783.967 + 1156.27i −0.949673 + 1.40066i
\(89\) 782.189 1153.64i 0.931594 1.37400i 0.00416878 0.999991i \(-0.498673\pi\)
0.927426 0.374008i \(-0.122017\pi\)
\(90\) 151.227 + 114.959i 0.177119 + 0.134642i
\(91\) 2.68654 16.3872i 0.00309479 0.0188774i
\(92\) 217.632 + 256.216i 0.246627 + 0.290351i
\(93\) −613.017 + 721.699i −0.683515 + 0.804696i
\(94\) −169.801 1035.74i −0.186315 1.13647i
\(95\) 422.140 796.240i 0.455901 0.859921i
\(96\) 343.388 + 75.5853i 0.365071 + 0.0803583i
\(97\) 1013.59 + 341.520i 1.06098 + 0.357485i 0.795073 0.606514i \(-0.207433\pi\)
0.265905 + 0.963999i \(0.414329\pi\)
\(98\) −19.9323 367.629i −0.0205455 0.378940i
\(99\) −406.339 + 308.891i −0.412511 + 0.313583i
\(100\) 51.7528 + 97.6161i 0.0517528 + 0.0976161i
\(101\) −289.654 1043.24i −0.285363 1.02778i −0.957754 0.287588i \(-0.907146\pi\)
0.672391 0.740196i \(-0.265267\pi\)
\(102\) −82.4593 78.1096i −0.0800459 0.0758235i
\(103\) −56.0161 140.590i −0.0535867 0.134492i 0.899746 0.436413i \(-0.143751\pi\)
−0.953333 + 0.301921i \(0.902372\pi\)
\(104\) −28.6786 + 9.66295i −0.0270401 + 0.00911087i
\(105\) −370.470 + 40.2910i −0.344325 + 0.0374476i
\(106\) 605.978 + 280.355i 0.555262 + 0.256892i
\(107\) 409.237 387.650i 0.369742 0.350238i −0.480158 0.877182i \(-0.659421\pi\)
0.849900 + 0.526944i \(0.176662\pi\)
\(108\) 63.0495 + 37.9356i 0.0561754 + 0.0337996i
\(109\) −483.369 52.5696i −0.424756 0.0461950i −0.106755 0.994285i \(-0.534046\pi\)
−0.318001 + 0.948090i \(0.603012\pi\)
\(110\) −1169.04 + 257.325i −1.01331 + 0.223046i
\(111\) −85.3540 + 307.417i −0.0729860 + 0.262872i
\(112\) 402.704 242.299i 0.339750 0.204421i
\(113\) 747.437 345.801i 0.622238 0.287878i −0.0833277 0.996522i \(-0.526555\pi\)
0.705566 + 0.708644i \(0.250693\pi\)
\(114\) −250.089 + 627.677i −0.205465 + 0.515678i
\(115\) −61.3734 + 1131.97i −0.0497661 + 0.917882i
\(116\) 78.0063 + 115.051i 0.0624371 + 0.0920878i
\(117\) −11.0571 −0.00873704
\(118\) −384.021 + 967.392i −0.299593 + 0.754709i
\(119\) 222.817 0.171643
\(120\) 381.118 + 562.106i 0.289926 + 0.427609i
\(121\) 102.071 1882.59i 0.0766875 1.41442i
\(122\) −702.318 + 1762.69i −0.521188 + 1.30808i
\(123\) 1199.98 555.171i 0.879664 0.406976i
\(124\) −737.064 + 443.477i −0.533793 + 0.321173i
\(125\) −407.004 + 1465.89i −0.291228 + 1.04891i
\(126\) 272.855 60.0599i 0.192919 0.0424648i
\(127\) −63.9410 6.95401i −0.0446760 0.00485881i 0.0857537 0.996316i \(-0.472670\pi\)
−0.130430 + 0.991458i \(0.541636\pi\)
\(128\) −273.722 164.693i −0.189015 0.113726i
\(129\) −374.599 + 354.839i −0.255671 + 0.242185i
\(130\) −23.5345 10.8882i −0.0158778 0.00734585i
\(131\) −1726.48 + 187.766i −1.15147 + 0.125230i −0.663878 0.747840i \(-0.731091\pi\)
−0.487594 + 0.873071i \(0.662125\pi\)
\(132\) −439.402 + 148.052i −0.289735 + 0.0976231i
\(133\) −490.611 1231.34i −0.319860 0.802787i
\(134\) −1110.27 1051.70i −0.715767 0.678010i
\(135\) 66.3828 + 239.089i 0.0423209 + 0.152426i
\(136\) −190.203 358.761i −0.119925 0.226202i
\(137\) −1211.54 + 920.985i −0.755536 + 0.574344i −0.910467 0.413582i \(-0.864278\pi\)
0.154931 + 0.987925i \(0.450485\pi\)
\(138\) −46.0129 848.659i −0.0283832 0.523497i
\(139\) 414.572 + 139.685i 0.252975 + 0.0852372i 0.442932 0.896555i \(-0.353938\pi\)
−0.189957 + 0.981792i \(0.560835\pi\)
\(140\) −330.613 72.7735i −0.199585 0.0439320i
\(141\) 642.179 1211.28i 0.383555 0.723461i
\(142\) −251.811 1535.98i −0.148814 0.907724i
\(143\) 45.1072 53.1043i 0.0263780 0.0310546i
\(144\) −202.591 238.509i −0.117240 0.138026i
\(145\) −75.8341 + 462.567i −0.0434323 + 0.264925i
\(146\) −1323.81 1006.33i −0.750407 0.570444i
\(147\) 269.883 398.048i 0.151426 0.223336i
\(148\) −162.648 + 239.889i −0.0903353 + 0.133235i
\(149\) −1105.52 840.392i −0.607835 0.462064i 0.255421 0.966830i \(-0.417786\pi\)
−0.863256 + 0.504766i \(0.831579\pi\)
\(150\) 45.1909 275.653i 0.0245988 0.150046i
\(151\) 65.7031 + 77.3517i 0.0354096 + 0.0416874i 0.779582 0.626300i \(-0.215432\pi\)
−0.744172 + 0.667988i \(0.767156\pi\)
\(152\) −1563.80 + 1841.05i −0.834481 + 0.982427i
\(153\) −24.0025 146.409i −0.0126829 0.0773625i
\(154\) −824.651 + 1555.46i −0.431508 + 0.813911i
\(155\) −2832.93 623.574i −1.46804 0.323140i
\(156\) −9.51876 3.20724i −0.00488533 0.00164606i
\(157\) −56.2233 1036.98i −0.0285803 0.527133i −0.977411 0.211347i \(-0.932215\pi\)
0.948831 0.315785i \(-0.102268\pi\)
\(158\) 292.551 222.392i 0.147305 0.111978i
\(159\) 408.526 + 770.563i 0.203763 + 0.384337i
\(160\) 288.157 + 1037.85i 0.142380 + 0.512807i
\(161\) 1210.45 + 1146.60i 0.592526 + 0.561271i
\(162\) −68.8572 172.818i −0.0333946 0.0838142i
\(163\) 2537.22 854.890i 1.21921 0.410798i 0.365135 0.930955i \(-0.381023\pi\)
0.854071 + 0.520156i \(0.174126\pi\)
\(164\) 1194.06 129.862i 0.568540 0.0618324i
\(165\) −1419.08 656.537i −0.669548 0.309766i
\(166\) 1224.27 1159.69i 0.572419 0.542224i
\(167\) 2102.45 + 1265.00i 0.974204 + 0.586159i 0.911248 0.411857i \(-0.135120\pi\)
0.0629558 + 0.998016i \(0.479947\pi\)
\(168\) 992.978 + 107.993i 0.456011 + 0.0495942i
\(169\) −2144.16 + 471.966i −0.975950 + 0.214823i
\(170\) 93.0842 335.259i 0.0419955 0.151254i
\(171\) −756.242 + 455.016i −0.338195 + 0.203485i
\(172\) −425.406 + 196.814i −0.188586 + 0.0872494i
\(173\) 621.933 1560.93i 0.273322 0.685986i −0.726678 0.686979i \(-0.758937\pi\)
1.00000 0.000992368i \(0.000315881\pi\)
\(174\) 19.0258 350.911i 0.00828933 0.152888i
\(175\) 307.518 + 453.555i 0.132835 + 0.195917i
\(176\) 1971.95 0.844553
\(177\) −1164.06 + 702.407i −0.494328 + 0.298283i
\(178\) −3201.14 −1.34795
\(179\) −374.327 552.091i −0.156304 0.230532i 0.741471 0.670984i \(-0.234128\pi\)
−0.897776 + 0.440453i \(0.854818\pi\)
\(180\) −12.2035 + 225.080i −0.00505329 + 0.0932025i
\(181\) −1468.97 + 3686.85i −0.603248 + 1.51404i 0.236817 + 0.971554i \(0.423896\pi\)
−0.840066 + 0.542485i \(0.817484\pi\)
\(182\) −34.6136 + 16.0140i −0.0140974 + 0.00652216i
\(183\) −2123.73 + 1277.81i −0.857873 + 0.516165i
\(184\) 812.882 2927.73i 0.325687 1.17302i
\(185\) −954.510 + 210.104i −0.379335 + 0.0834980i
\(186\) 2162.00 + 235.132i 0.852288 + 0.0926919i
\(187\) 801.077 + 481.992i 0.313265 + 0.188485i
\(188\) 904.177 856.482i 0.350765 0.332263i
\(189\) 331.215 + 153.236i 0.127473 + 0.0589751i
\(190\) −2057.68 + 223.786i −0.785684 + 0.0854483i
\(191\) 4542.66 1530.60i 1.72092 0.579845i 0.726675 0.686982i \(-0.241065\pi\)
0.994244 + 0.107137i \(0.0341682\pi\)
\(192\) −607.778 1525.41i −0.228451 0.573368i
\(193\) 1576.93 + 1493.75i 0.588135 + 0.557111i 0.922826 0.385217i \(-0.125873\pi\)
−0.334691 + 0.942328i \(0.608632\pi\)
\(194\) −657.180 2366.95i −0.243210 0.875965i
\(195\) −15.8660 29.9265i −0.00582661 0.0109902i
\(196\) 347.793 264.385i 0.126747 0.0963502i
\(197\) 9.80833 + 180.904i 0.00354728 + 0.0654258i 0.999771 0.0213969i \(-0.00681138\pi\)
−0.996224 + 0.0868227i \(0.972329\pi\)
\(198\) 1110.90 + 374.305i 0.398728 + 0.134347i
\(199\) 330.756 + 72.8048i 0.117822 + 0.0259347i 0.273490 0.961875i \(-0.411822\pi\)
−0.155668 + 0.987809i \(0.549753\pi\)
\(200\) 467.771 882.309i 0.165382 0.311943i
\(201\) −323.181 1971.32i −0.113410 0.691771i
\(202\) −1609.81 + 1895.21i −0.560720 + 0.660131i
\(203\) 446.313 + 525.440i 0.154310 + 0.181668i
\(204\) 21.8044 133.001i 0.00748341 0.0456468i
\(205\) 3224.45 + 2451.17i 1.09856 + 0.835107i
\(206\) −195.055 + 287.684i −0.0659714 + 0.0973005i
\(207\) 623.016 918.880i 0.209191 0.308534i
\(208\) 34.0078 + 25.8521i 0.0113366 + 0.00861787i
\(209\) 899.750 5488.23i 0.297785 1.81641i
\(210\) 554.077 + 652.310i 0.182071 + 0.214351i
\(211\) −2491.41 + 2933.11i −0.812870 + 0.956984i −0.999677 0.0254121i \(-0.991910\pi\)
0.186807 + 0.982397i \(0.440186\pi\)
\(212\) 128.178 + 781.852i 0.0415250 + 0.253291i
\(213\) 952.338 1796.30i 0.306353 0.577843i
\(214\) −1264.35 278.304i −0.403874 0.0888994i
\(215\) −1497.90 504.701i −0.475143 0.160094i
\(216\) −36.0066 664.102i −0.0113423 0.209196i
\(217\) −3396.37 + 2581.85i −1.06249 + 0.807684i
\(218\) 523.067 + 986.609i 0.162507 + 0.306521i
\(219\) −581.103 2092.94i −0.179303 0.645790i
\(220\) −1031.21 976.813i −0.316019 0.299349i
\(221\) 7.49633 + 18.8144i 0.00228171 + 0.00572665i
\(222\) 694.391 233.967i 0.209930 0.0707336i
\(223\) 877.931 95.4808i 0.263635 0.0286720i 0.0246532 0.999696i \(-0.492152\pi\)
0.238982 + 0.971024i \(0.423186\pi\)
\(224\) 1437.75 + 665.174i 0.428856 + 0.198410i
\(225\) 264.897 250.923i 0.0784879 0.0743476i
\(226\) −1620.69 975.138i −0.477021 0.287014i
\(227\) 2640.89 + 287.214i 0.772167 + 0.0839782i 0.485716 0.874117i \(-0.338559\pi\)
0.286451 + 0.958095i \(0.407524\pi\)
\(228\) −783.008 + 172.353i −0.227438 + 0.0500630i
\(229\) 893.983 3219.84i 0.257974 0.929139i −0.715171 0.698949i \(-0.753651\pi\)
0.973146 0.230190i \(-0.0739348\pi\)
\(230\) 2230.90 1342.29i 0.639569 0.384816i
\(231\) −2087.13 + 965.609i −0.594472 + 0.275032i
\(232\) 465.034 1167.15i 0.131599 0.330289i
\(233\) −211.789 + 3906.23i −0.0595485 + 1.09831i 0.804192 + 0.594370i \(0.202598\pi\)
−0.863740 + 0.503937i \(0.831884\pi\)
\(234\) 14.2512 + 21.0189i 0.00398132 + 0.00587201i
\(235\) 4199.83 1.16582
\(236\) −1205.84 + 267.033i −0.332601 + 0.0736540i
\(237\) 480.020 0.131564
\(238\) −287.181 423.560i −0.0782150 0.115358i
\(239\) 0.493237 9.09722i 0.000133493 0.00246214i −0.998466 0.0553699i \(-0.982366\pi\)
0.998599 + 0.0529078i \(0.0168489\pi\)
\(240\) 354.831 890.557i 0.0954342 0.239522i
\(241\) 96.1435 44.4807i 0.0256977 0.0118890i −0.406998 0.913429i \(-0.633424\pi\)
0.432696 + 0.901540i \(0.357562\pi\)
\(242\) −3710.24 + 2232.38i −0.985550 + 0.592986i
\(243\) 65.0094 234.143i 0.0171620 0.0618118i
\(244\) −2198.90 + 484.014i −0.576926 + 0.126991i
\(245\) 1464.59 + 159.284i 0.381915 + 0.0415357i
\(246\) −2601.96 1565.55i −0.674370 0.405755i
\(247\) 87.4670 82.8531i 0.0225319 0.0213434i
\(248\) 7056.33 + 3264.60i 1.80676 + 0.835898i
\(249\) 2189.83 238.158i 0.557328 0.0606131i
\(250\) 3311.14 1115.65i 0.837661 0.282241i
\(251\) 805.910 + 2022.68i 0.202664 + 0.508648i 0.994818 0.101674i \(-0.0324197\pi\)
−0.792154 + 0.610321i \(0.791040\pi\)
\(252\) 240.685 + 227.989i 0.0601656 + 0.0569919i
\(253\) 1871.55 + 6740.71i 0.465072 + 1.67504i
\(254\) 69.1923 + 130.511i 0.0170926 + 0.0322400i
\(255\) 361.819 275.047i 0.0888547 0.0675456i
\(256\) −197.340 3639.73i −0.0481788 0.888605i
\(257\) −3082.69 1038.68i −0.748221 0.252105i −0.0807432 0.996735i \(-0.525729\pi\)
−0.667477 + 0.744630i \(0.732626\pi\)
\(258\) 1157.33 + 254.748i 0.279273 + 0.0614726i
\(259\) −673.319 + 1270.01i −0.161537 + 0.304691i
\(260\) −4.97808 30.3649i −0.00118741 0.00724290i
\(261\) 297.179 349.866i 0.0704787 0.0829739i
\(262\) 2582.13 + 3039.91i 0.608871 + 0.716819i
\(263\) 298.626 1821.54i 0.0700156 0.427076i −0.928438 0.371487i \(-0.878848\pi\)
0.998454 0.0555891i \(-0.0177037\pi\)
\(264\) 3336.38 + 2536.25i 0.777803 + 0.591270i
\(265\) −1499.35 + 2211.38i −0.347564 + 0.512618i
\(266\) −1708.37 + 2519.65i −0.393784 + 0.580788i
\(267\) −3328.81 2530.50i −0.762996 0.580015i
\(268\) 293.585 1790.79i 0.0669163 0.408171i
\(269\) 249.257 + 293.447i 0.0564960 + 0.0665123i 0.789684 0.613514i \(-0.210244\pi\)
−0.733188 + 0.680026i \(0.761969\pi\)
\(270\) 368.934 434.343i 0.0831579 0.0979010i
\(271\) 1257.26 + 7668.94i 0.281819 + 1.71902i 0.625747 + 0.780026i \(0.284794\pi\)
−0.343928 + 0.938996i \(0.611757\pi\)
\(272\) −268.487 + 506.420i −0.0598508 + 0.112891i
\(273\) −48.6531 10.7094i −0.0107862 0.00237421i
\(274\) 3312.24 + 1116.02i 0.730291 + 0.246064i
\(275\) 124.478 + 2295.85i 0.0272956 + 0.503437i
\(276\) 802.867 610.324i 0.175097 0.133106i
\(277\) −211.687 399.283i −0.0459170 0.0866087i 0.859492 0.511150i \(-0.170780\pi\)
−0.905409 + 0.424541i \(0.860435\pi\)
\(278\) −268.794 968.110i −0.0579900 0.208861i
\(279\) 2062.36 + 1953.57i 0.442545 + 0.419201i
\(280\) 1132.55 + 2842.48i 0.241724 + 0.606682i
\(281\) −149.978 + 50.5334i −0.0318396 + 0.0107280i −0.335176 0.942155i \(-0.608796\pi\)
0.303337 + 0.952883i \(0.401899\pi\)
\(282\) −3130.24 + 340.435i −0.661005 + 0.0718886i
\(283\) −3644.74 1686.23i −0.765573 0.354192i −0.00207131 0.999998i \(-0.500659\pi\)
−0.763501 + 0.645806i \(0.776521\pi\)
\(284\) 1340.88 1270.14i 0.280163 0.265385i
\(285\) −2316.65 1393.88i −0.481497 0.289707i
\(286\) −159.085 17.3015i −0.0328912 0.00357714i
\(287\) 5817.81 1280.60i 1.19657 0.263384i
\(288\) 282.195 1016.38i 0.0577379 0.207953i
\(289\) 3976.89 2392.81i 0.809462 0.487037i
\(290\) 977.051 452.032i 0.197843 0.0915318i
\(291\) 1187.68 2980.85i 0.239255 0.600484i
\(292\) 106.827 1970.31i 0.0214095 0.394875i
\(293\) 414.903 + 611.936i 0.0827266 + 0.122013i 0.866801 0.498654i \(-0.166172\pi\)
−0.784074 + 0.620667i \(0.786862\pi\)
\(294\) −1104.51 −0.219103
\(295\) −3571.41 2142.67i −0.704866 0.422885i
\(296\) 2619.64 0.514403
\(297\) 859.317 + 1267.40i 0.167888 + 0.247616i
\(298\) −172.668 + 3184.67i −0.0335650 + 0.619070i
\(299\) −56.0936 + 140.784i −0.0108494 + 0.0272300i
\(300\) 300.824 139.176i 0.0578937 0.0267845i
\(301\) −1991.97 + 1198.53i −0.381446 + 0.229508i
\(302\) 62.3581 224.593i 0.0118818 0.0427944i
\(303\) −3172.17 + 698.248i −0.601441 + 0.132387i
\(304\) 3389.77 + 368.660i 0.639529 + 0.0695530i
\(305\) −6505.79 3914.40i −1.22138 0.734879i
\(306\) −247.378 + 234.329i −0.0462145 + 0.0437767i
\(307\) −4884.96 2260.02i −0.908141 0.420151i −0.0905113 0.995895i \(-0.528850\pi\)
−0.817629 + 0.575745i \(0.804712\pi\)
\(308\) −2076.83 + 225.869i −0.384216 + 0.0417860i
\(309\) −430.248 + 144.968i −0.0792103 + 0.0266891i
\(310\) 2465.89 + 6188.91i 0.451784 + 1.13389i
\(311\) −4036.70 3823.76i −0.736013 0.697189i 0.224794 0.974406i \(-0.427829\pi\)
−0.960807 + 0.277218i \(0.910588\pi\)
\(312\) 24.2885 + 87.4791i 0.00440725 + 0.0158735i
\(313\) −1322.69 2494.86i −0.238859 0.450536i 0.734882 0.678195i \(-0.237238\pi\)
−0.973741 + 0.227659i \(0.926893\pi\)
\(314\) −1898.76 + 1443.40i −0.341253 + 0.259414i
\(315\) 60.5253 + 1116.32i 0.0108261 + 0.199675i
\(316\) 413.235 + 139.235i 0.0735641 + 0.0247866i
\(317\) −2319.09 510.470i −0.410893 0.0904443i 0.00471375 0.999989i \(-0.498500\pi\)
−0.415606 + 0.909545i \(0.636431\pi\)
\(318\) 938.254 1769.73i 0.165455 0.312081i
\(319\) 467.977 + 2854.53i 0.0821370 + 0.501013i
\(320\) 3256.45 3833.79i 0.568879 0.669736i
\(321\) −1094.78 1288.87i −0.190357 0.224105i
\(322\) 619.502 3778.80i 0.107216 0.653988i
\(323\) 1286.94 + 978.305i 0.221694 + 0.168527i
\(324\) 123.880 182.710i 0.0212415 0.0313288i
\(325\) −27.9517 + 41.2256i −0.00477071 + 0.00703627i
\(326\) −4895.23 3721.26i −0.831662 0.632213i
\(327\) −235.985 + 1439.44i −0.0399082 + 0.243429i
\(328\) −7028.18 8274.21i −1.18313 1.39289i
\(329\) 3998.87 4707.83i 0.670105 0.788909i
\(330\) 580.972 + 3543.77i 0.0969135 + 0.591146i
\(331\) −1934.77 + 3649.36i −0.321282 + 0.606003i −0.990571 0.137000i \(-0.956254\pi\)
0.669289 + 0.743002i \(0.266599\pi\)
\(332\) 1954.24 + 430.160i 0.323050 + 0.0711088i
\(333\) 907.037 + 305.616i 0.149265 + 0.0502933i
\(334\) −305.089 5627.03i −0.0499812 0.921848i
\(335\) 4871.70 3703.37i 0.794535 0.603990i
\(336\) −660.425 1245.69i −0.107230 0.202256i
\(337\) 2065.53 + 7439.38i 0.333878 + 1.20252i 0.919877 + 0.392208i \(0.128288\pi\)
−0.585999 + 0.810312i \(0.699298\pi\)
\(338\) 3660.71 + 3467.61i 0.589102 + 0.558027i
\(339\) −914.486 2295.19i −0.146513 0.367721i
\(340\) 391.259 131.831i 0.0624089 0.0210280i
\(341\) −17795.7 + 1935.40i −2.82608 + 0.307355i
\(342\) 1839.65 + 851.113i 0.290868 + 0.134570i
\(343\) 4938.88 4678.36i 0.777477 0.736465i
\(344\) 3630.18 + 2184.21i 0.568971 + 0.342339i
\(345\) 3380.95 + 367.700i 0.527606 + 0.0573807i
\(346\) −3768.82 + 829.581i −0.585587 + 0.128898i
\(347\) −2940.73 + 10591.6i −0.454948 + 1.63857i 0.279672 + 0.960096i \(0.409774\pi\)
−0.734620 + 0.678479i \(0.762640\pi\)
\(348\) 357.315 214.989i 0.0550405 0.0331168i
\(349\) 10570.3 4890.33i 1.62124 0.750068i 0.621793 0.783182i \(-0.286405\pi\)
0.999452 + 0.0331142i \(0.0105425\pi\)
\(350\) 465.830 1169.14i 0.0711418 0.178553i
\(351\) −1.79587 + 33.1228i −0.000273095 + 0.00503693i
\(352\) 3730.16 + 5501.57i 0.564824 + 0.833053i
\(353\) −11285.6 −1.70163 −0.850814 0.525468i \(-0.823890\pi\)
−0.850814 + 0.525468i \(0.823890\pi\)
\(354\) 2835.55 + 1307.49i 0.425728 + 0.196307i
\(355\) 6228.26 0.931160
\(356\) −2131.68 3143.99i −0.317356 0.468065i
\(357\) 36.1891 667.469i 0.00536508 0.0989530i
\(358\) −567.032 + 1423.14i −0.0837110 + 0.210099i
\(359\) 3188.75 1475.27i 0.468791 0.216886i −0.171248 0.985228i \(-0.554780\pi\)
0.640039 + 0.768342i \(0.278918\pi\)
\(360\) 1745.75 1050.38i 0.255580 0.153778i
\(361\) 737.724 2657.04i 0.107556 0.387381i
\(362\) 8901.76 1959.43i 1.29245 0.284489i
\(363\) −5622.91 611.528i −0.813020 0.0884212i
\(364\) −38.7777 23.3317i −0.00558379 0.00335966i
\(365\) 4830.78 4575.96i 0.692753 0.656210i
\(366\) 5166.24 + 2390.15i 0.737824 + 0.341354i
\(367\) 723.021 78.6333i 0.102838 0.0111843i −0.0565555 0.998399i \(-0.518012\pi\)
0.159393 + 0.987215i \(0.449046\pi\)
\(368\) −4064.55 + 1369.51i −0.575759 + 0.193996i
\(369\) −1468.17 3684.84i −0.207127 0.519851i
\(370\) 1629.63 + 1543.67i 0.228974 + 0.216896i
\(371\) 1051.25 + 3786.27i 0.147111 + 0.529847i
\(372\) 1208.77 + 2279.98i 0.168472 + 0.317772i
\(373\) −8939.92 + 6795.95i −1.24100 + 0.943381i −0.999634 0.0270545i \(-0.991387\pi\)
−0.241362 + 0.970435i \(0.577594\pi\)
\(374\) −116.245 2144.02i −0.0160719 0.296430i
\(375\) 4325.13 + 1457.31i 0.595597 + 0.200680i
\(376\) −10993.7 2419.90i −1.50787 0.331906i
\(377\) −29.3520 + 55.3637i −0.00400983 + 0.00756334i
\(378\) −135.599 827.119i −0.0184510 0.112546i
\(379\) 125.768 148.066i 0.0170456 0.0200676i −0.753573 0.657364i \(-0.771671\pi\)
0.770619 + 0.637296i \(0.219947\pi\)
\(380\) −1590.03 1871.92i −0.214649 0.252704i
\(381\) −31.2165 + 190.412i −0.00419756 + 0.0256040i
\(382\) −8764.46 6662.57i −1.17390 0.892373i
\(383\) −5533.12 + 8160.74i −0.738197 + 1.08876i 0.254376 + 0.967105i \(0.418130\pi\)
−0.992573 + 0.121653i \(0.961180\pi\)
\(384\) −537.812 + 793.214i −0.0714717 + 0.105413i
\(385\) −5608.29 4263.31i −0.742403 0.564360i
\(386\) 807.066 4922.89i 0.106421 0.649141i
\(387\) 1002.11 + 1179.78i 0.131629 + 0.154965i
\(388\) 1887.07 2221.63i 0.246911 0.290686i
\(389\) −1699.88 10368.8i −0.221562 1.35147i −0.829955 0.557831i \(-0.811634\pi\)
0.608393 0.793636i \(-0.291815\pi\)
\(390\) −36.4392 + 68.7315i −0.00473120 + 0.00892399i
\(391\) −1985.91 437.131i −0.256859 0.0565388i
\(392\) −3742.01 1260.83i −0.482143 0.162453i
\(393\) 282.062 + 5202.33i 0.0362039 + 0.667742i
\(394\) 331.245 251.806i 0.0423551 0.0321975i
\(395\) 688.786 + 1299.19i 0.0877382 + 0.165492i
\(396\) 372.138 + 1340.32i 0.0472238 + 0.170085i
\(397\) −8096.04 7668.97i −1.02350 0.969508i −0.0239538 0.999713i \(-0.507625\pi\)
−0.999544 + 0.0302047i \(0.990384\pi\)
\(398\) −287.902 722.581i −0.0362594 0.0910043i
\(399\) −3768.29 + 1269.68i −0.472808 + 0.159307i
\(400\) −1401.40 + 152.411i −0.175174 + 0.0190514i
\(401\) −5003.33 2314.79i −0.623078 0.288266i 0.0828372 0.996563i \(-0.473602\pi\)
−0.705915 + 0.708297i \(0.749464\pi\)
\(402\) −3330.81 + 3155.11i −0.413248 + 0.391449i
\(403\) −332.274 199.923i −0.0410713 0.0247118i
\(404\) −2933.36 319.022i −0.361238 0.0392870i
\(405\) 726.997 160.024i 0.0891970 0.0196337i
\(406\) 423.590 1525.63i 0.0517794 0.186492i
\(407\) −5168.01 + 3109.49i −0.629407 + 0.378702i
\(408\) −1105.60 + 511.503i −0.134155 + 0.0620666i
\(409\) 3278.88 8229.37i 0.396406 0.994905i −0.586360 0.810051i \(-0.699439\pi\)
0.982766 0.184854i \(-0.0591812\pi\)
\(410\) 503.619 9288.71i 0.0606633 1.11887i
\(411\) 2562.13 + 3778.86i 0.307495 + 0.453522i
\(412\) −412.437 −0.0493188
\(413\) −5802.36 + 1963.25i −0.691320 + 0.233911i
\(414\) −2549.72 −0.302685
\(415\) 3786.79 + 5585.10i 0.447919 + 0.660631i
\(416\) −7.79556 + 143.781i −0.000918771 + 0.0169457i
\(417\) 485.775 1219.20i 0.0570468 0.143177i
\(418\) −11592.4 + 5363.23i −1.35647 + 0.627570i
\(419\) −1993.61 + 1199.52i −0.232445 + 0.139858i −0.627012 0.779010i \(-0.715722\pi\)
0.394567 + 0.918867i \(0.370895\pi\)
\(420\) −271.697 + 978.565i −0.0315654 + 0.113688i
\(421\) 5231.00 1151.43i 0.605566 0.133295i 0.0984049 0.995146i \(-0.468626\pi\)
0.507161 + 0.861851i \(0.330695\pi\)
\(422\) 8786.75 + 955.616i 1.01358 + 0.110234i
\(423\) −3524.20 2120.44i −0.405089 0.243734i
\(424\) 5198.96 4924.72i 0.595481 0.564069i
\(425\) −606.550 280.620i −0.0692282 0.0320284i
\(426\) −4642.09 + 504.857i −0.527957 + 0.0574188i
\(427\) −10582.4 + 3565.61i −1.19934 + 0.404103i
\(428\) −568.609 1427.10i −0.0642167 0.161172i
\(429\) −151.753 143.748i −0.0170786 0.0161777i
\(430\) 971.187 + 3497.90i 0.108918 + 0.392288i
\(431\) 7664.83 + 14457.4i 0.856617 + 1.61575i 0.785983 + 0.618248i \(0.212157\pi\)
0.0706338 + 0.997502i \(0.477498\pi\)
\(432\) −747.381 + 568.144i −0.0832370 + 0.0632751i
\(433\) 163.611 + 3017.63i 0.0181586 + 0.334915i 0.993471 + 0.114085i \(0.0363937\pi\)
−0.975312 + 0.220830i \(0.929124\pi\)
\(434\) 9285.40 + 3128.61i 1.02699 + 0.346033i
\(435\) 1373.35 + 302.297i 0.151373 + 0.0333196i
\(436\) −620.678 + 1170.72i −0.0681768 + 0.128595i
\(437\) 1956.99 + 11937.1i 0.214223 + 1.30671i
\(438\) −3229.59 + 3802.16i −0.352319 + 0.414782i
\(439\) 6448.27 + 7591.49i 0.701046 + 0.825335i 0.991301 0.131614i \(-0.0420160\pi\)
−0.290255 + 0.956949i \(0.593740\pi\)
\(440\) −2077.03 + 12669.3i −0.225042 + 1.37269i
\(441\) −1148.56 873.112i −0.124021 0.0942784i
\(442\) 26.1031 38.4992i 0.00280905 0.00414303i
\(443\) 4310.61 6357.67i 0.462310 0.681856i −0.523058 0.852297i \(-0.675209\pi\)
0.985368 + 0.170441i \(0.0545192\pi\)
\(444\) 692.193 + 526.192i 0.0739866 + 0.0562431i
\(445\) 2072.32 12640.6i 0.220758 1.34656i
\(446\) −1313.04 1545.83i −0.139404 0.164119i
\(447\) −2697.03 + 3175.19i −0.285381 + 0.335976i
\(448\) −1196.89 7300.69i −0.126222 0.769922i
\(449\) 278.742 525.763i 0.0292976 0.0552612i −0.868431 0.495810i \(-0.834871\pi\)
0.897729 + 0.440549i \(0.145216\pi\)
\(450\) −818.405 180.145i −0.0857333 0.0188713i
\(451\) 23686.6 + 7980.93i 2.47308 + 0.833276i
\(452\) −121.510 2241.11i −0.0126445 0.233215i
\(453\) 242.386 184.257i 0.0251397 0.0191107i
\(454\) −2857.78 5390.34i −0.295423 0.557227i
\(455\) −40.8277 147.048i −0.00420667 0.0151510i
\(456\) 5261.06 + 4983.54i 0.540289 + 0.511789i
\(457\) 3055.19 + 7667.94i 0.312726 + 0.784882i 0.998377 + 0.0569518i \(0.0181381\pi\)
−0.685651 + 0.727930i \(0.740483\pi\)
\(458\) −7272.93 + 2450.53i −0.742012 + 0.250013i
\(459\) −442.481 + 48.1227i −0.0449962 + 0.00489363i
\(460\) 2803.90 + 1297.22i 0.284201 + 0.131486i
\(461\) −744.239 + 704.981i −0.0751902 + 0.0712240i −0.724372 0.689409i \(-0.757870\pi\)
0.649182 + 0.760633i \(0.275111\pi\)
\(462\) 4525.59 + 2722.96i 0.455735 + 0.274207i
\(463\) −4009.50 436.059i −0.402456 0.0437698i −0.0953472 0.995444i \(-0.530396\pi\)
−0.307109 + 0.951674i \(0.599362\pi\)
\(464\) −1732.02 + 381.246i −0.173291 + 0.0381442i
\(465\) −2328.09 + 8385.03i −0.232178 + 0.836229i
\(466\) 7698.45 4632.01i 0.765288 0.460458i
\(467\) −7970.75 + 3687.66i −0.789812 + 0.365406i −0.772962 0.634452i \(-0.781226\pi\)
−0.0168498 + 0.999858i \(0.505364\pi\)
\(468\) −11.1536 + 27.9935i −0.00110166 + 0.00276496i
\(469\) 487.267 8987.12i 0.0479742 0.884833i
\(470\) −5413.02 7983.61i −0.531243 0.783524i
\(471\) −3115.50 −0.304787
\(472\) 8114.13 + 7666.59i 0.791278 + 0.747634i
\(473\) −9754.23 −0.948203
\(474\) −618.681 912.487i −0.0599514 0.0884217i
\(475\) −215.238 + 3969.83i −0.0207912 + 0.383470i
\(476\) 224.761 564.107i 0.0216426 0.0543189i
\(477\) 2374.65 1098.63i 0.227941 0.105457i
\(478\) −17.9290 + 10.7875i −0.00171559 + 0.00103224i
\(479\) 255.204 919.161i 0.0243435 0.0876775i −0.950380 0.311090i \(-0.899306\pi\)
0.974724 + 0.223413i \(0.0717197\pi\)
\(480\) 3155.78 694.639i 0.300085 0.0660537i
\(481\) −129.891 14.1265i −0.0123130 0.00133912i
\(482\) −208.471 125.433i −0.0197004 0.0118533i
\(483\) 3631.35 3439.79i 0.342095 0.324050i
\(484\) −4663.21 2157.43i −0.437942 0.202614i
\(485\) 9771.99 1062.77i 0.914893 0.0995006i
\(486\) −528.878 + 178.200i −0.0493630 + 0.0166323i
\(487\) 5913.94 + 14842.9i 0.550280 + 1.38110i 0.896541 + 0.442960i \(0.146072\pi\)
−0.346262 + 0.938138i \(0.612549\pi\)
\(488\) 14774.5 + 13995.1i 1.37051 + 1.29822i
\(489\) −2148.82 7739.35i −0.198718 0.715717i
\(490\) −1584.87 2989.38i −0.146117 0.275605i
\(491\) −7098.72 + 5396.31i −0.652466 + 0.495992i −0.878260 0.478183i \(-0.841295\pi\)
0.225794 + 0.974175i \(0.427502\pi\)
\(492\) −195.079 3598.02i −0.0178757 0.329698i
\(493\) −796.794 268.471i −0.0727907 0.0245260i
\(494\) −270.232 59.4825i −0.0246119 0.00541750i
\(495\) −2197.21 + 4144.37i −0.199509 + 0.376314i
\(496\) −1775.55 10830.4i −0.160735 0.980438i
\(497\) 5930.24 6981.61i 0.535226 0.630117i
\(498\) −3275.12 3855.77i −0.294702 0.346950i
\(499\) 2759.72 16833.5i 0.247579 1.51017i −0.511566 0.859244i \(-0.670934\pi\)
0.759145 0.650922i \(-0.225617\pi\)
\(500\) 3300.67 + 2509.10i 0.295221 + 0.224421i
\(501\) 4130.90 6092.63i 0.368374 0.543311i
\(502\) 2806.28 4138.95i 0.249503 0.367989i
\(503\) −3844.70 2922.67i −0.340809 0.259076i 0.420744 0.907180i \(-0.361769\pi\)
−0.761552 + 0.648104i \(0.775562\pi\)
\(504\) 484.780 2957.02i 0.0428448 0.261342i
\(505\) −6441.62 7583.66i −0.567620 0.668254i
\(506\) 10401.5 12245.6i 0.913837 1.07585i
\(507\) 1065.57 + 6499.71i 0.0933407 + 0.569353i
\(508\) −82.1045 + 154.866i −0.00717086 + 0.0135257i
\(509\) 11544.4 + 2541.11i 1.00530 + 0.221283i 0.686960 0.726695i \(-0.258945\pi\)
0.318337 + 0.947978i \(0.396876\pi\)
\(510\) −989.183 333.295i −0.0858858 0.0289383i
\(511\) −529.828 9772.10i −0.0458673 0.845973i
\(512\) −8699.03 + 6612.83i −0.750872 + 0.570798i
\(513\) 1240.22 + 2339.30i 0.106739 + 0.201331i
\(514\) 1998.71 + 7198.70i 0.171516 + 0.617746i
\(515\) −1009.73 956.465i −0.0863960 0.0818386i
\(516\) 520.482 + 1306.31i 0.0444049 + 0.111448i
\(517\) 24560.7 8275.48i 2.08932 0.703975i
\(518\) 3282.03 356.943i 0.278387 0.0302764i
\(519\) −4574.92 2116.58i −0.386930 0.179013i
\(520\) −201.913 + 191.262i −0.0170278 + 0.0161296i
\(521\) 14264.8 + 8582.86i 1.19953 + 0.721731i 0.967964 0.251089i \(-0.0807887\pi\)
0.231562 + 0.972820i \(0.425616\pi\)
\(522\) −1048.10 113.988i −0.0878812 0.00955766i
\(523\) 15780.4 3473.53i 1.31937 0.290414i 0.501167 0.865350i \(-0.332904\pi\)
0.818198 + 0.574936i \(0.194973\pi\)
\(524\) −1266.17 + 4560.34i −0.105559 + 0.380190i
\(525\) 1408.62 847.536i 0.117099 0.0704562i
\(526\) −3847.52 + 1780.05i −0.318935 + 0.147555i
\(527\) 1925.91 4833.67i 0.159191 0.399540i
\(528\) 320.278 5907.18i 0.0263983 0.486888i
\(529\) −1711.02 2523.56i −0.140628 0.207410i
\(530\) 6136.15 0.502901
\(531\) 1915.07 + 3601.14i 0.156510 + 0.294305i
\(532\) −3612.29 −0.294385
\(533\) 303.864 + 448.165i 0.0246938 + 0.0364206i
\(534\) −519.918 + 9589.33i −0.0421331 + 0.777099i
\(535\) 1917.46 4812.46i 0.154951 0.388899i
\(536\) −14886.3 + 6887.12i −1.19961 + 0.554997i
\(537\) −1714.64 + 1031.66i −0.137788 + 0.0829043i
\(538\) 236.566 852.035i 0.0189574 0.0682785i
\(539\) 8878.81 1954.37i 0.709532 0.156180i
\(540\) 672.266 + 73.1134i 0.0535736 + 0.00582648i
\(541\) −17194.2 10345.4i −1.36643 0.822153i −0.372068 0.928206i \(-0.621351\pi\)
−0.994360 + 0.106053i \(0.966179\pi\)
\(542\) 12957.7 12274.2i 1.02690 0.972735i
\(543\) 10805.7 + 4999.26i 0.853993 + 0.395099i
\(544\) −1920.74 + 208.893i −0.151381 + 0.0164636i
\(545\) −4234.51 + 1426.77i −0.332820 + 0.112140i
\(546\) 42.3496 + 106.289i 0.00331940 + 0.00833107i
\(547\) 749.848 + 710.294i 0.0586128 + 0.0555210i 0.716445 0.697643i \(-0.245768\pi\)
−0.657833 + 0.753164i \(0.728527\pi\)
\(548\) 1109.56 + 3996.28i 0.0864929 + 0.311519i
\(549\) 3482.87 + 6569.39i 0.270756 + 0.510701i
\(550\) 4203.84 3195.67i 0.325913 0.247753i
\(551\) 270.789 + 4994.42i 0.0209365 + 0.386151i
\(552\) −8638.30 2910.58i −0.666069 0.224425i
\(553\) 2112.16 + 464.922i 0.162420 + 0.0357513i
\(554\) −486.176 + 917.025i −0.0372845 + 0.0703261i
\(555\) 474.358 + 2893.46i 0.0362800 + 0.221298i
\(556\) 771.833 908.672i 0.0588723 0.0693098i
\(557\) −2197.43 2587.01i −0.167160 0.196796i 0.672204 0.740366i \(-0.265348\pi\)
−0.839364 + 0.543570i \(0.817072\pi\)
\(558\) 1055.51 6438.30i 0.0800773 0.488450i
\(559\) −168.219 127.877i −0.0127279 0.00967552i
\(560\) 2423.86 3574.92i 0.182905 0.269764i
\(561\) 1573.96 2321.42i 0.118454 0.174707i
\(562\) 289.362 + 219.967i 0.0217189 + 0.0165102i
\(563\) −3792.51 + 23133.3i −0.283899 + 1.73171i 0.331467 + 0.943467i \(0.392457\pi\)
−0.615366 + 0.788242i \(0.710992\pi\)
\(564\) −2418.82 2847.66i −0.180587 0.212603i
\(565\) 4899.78 5768.47i 0.364842 0.429525i
\(566\) 1492.15 + 9101.74i 0.110813 + 0.675927i
\(567\) 512.830 967.299i 0.0379838 0.0716451i
\(568\) −16303.4 3588.66i −1.20436 0.265100i
\(569\) 20200.9 + 6806.46i 1.48834 + 0.501479i 0.941863 0.335997i \(-0.109073\pi\)
0.546474 + 0.837476i \(0.315970\pi\)
\(570\) 336.173 + 6200.34i 0.0247030 + 0.455620i
\(571\) 19806.0 15056.2i 1.45159 1.10347i 0.477148 0.878823i \(-0.341671\pi\)
0.974441 0.224646i \(-0.0721225\pi\)
\(572\) −88.9440 167.766i −0.00650163 0.0122634i
\(573\) −3847.27 13856.6i −0.280492 1.01024i
\(574\) −9932.72 9408.77i −0.722271 0.684172i
\(575\) −1851.03 4645.73i −0.134249 0.336940i
\(576\) −4668.22 + 1572.91i −0.337690 + 0.113781i
\(577\) 14801.0 1609.70i 1.06789 0.116140i 0.442744 0.896648i \(-0.354005\pi\)
0.625145 + 0.780508i \(0.285040\pi\)
\(578\) −9674.26 4475.79i −0.696187 0.322091i
\(579\) 4730.79 4481.25i 0.339560 0.321648i
\(580\) 1094.59 + 658.594i 0.0783628 + 0.0471493i
\(581\) 9866.25 + 1073.02i 0.704511 + 0.0766202i
\(582\) −7197.17 + 1584.22i −0.512599 + 0.112832i
\(583\) −4410.89 + 15886.6i −0.313345 + 1.12857i
\(584\) −15281.9 + 9194.84i −1.08283 + 0.651516i
\(585\) −92.2247 + 42.6677i −0.00651799 + 0.00301554i
\(586\) 628.497 1577.41i 0.0443054 0.111198i
\(587\) 1216.16 22430.7i 0.0855131 1.57720i −0.569764 0.821808i \(-0.692965\pi\)
0.655277 0.755389i \(-0.272552\pi\)
\(588\) −735.505 1084.79i −0.0515845 0.0760815i
\(589\) −30952.6 −2.16533
\(590\) 529.988 + 9550.63i 0.0369818 + 0.666429i
\(591\) 543.509 0.0378291
\(592\) −2075.18 3060.66i −0.144070 0.212487i
\(593\) −421.864 + 7780.82i −0.0292140 + 0.538820i 0.946896 + 0.321541i \(0.104201\pi\)
−0.976110 + 0.217279i \(0.930282\pi\)
\(594\) 1301.70 3267.01i 0.0899146 0.225669i
\(595\) 1858.45 859.812i 0.128049 0.0592418i
\(596\) −3242.79 + 1951.12i −0.222869 + 0.134096i
\(597\) 271.814 978.987i 0.0186342 0.0671143i
\(598\) 339.919 74.8219i 0.0232447 0.00511654i
\(599\) 6100.34 + 663.452i 0.416115 + 0.0452553i 0.313782 0.949495i \(-0.398404\pi\)
0.102333 + 0.994750i \(0.467369\pi\)
\(600\) −2567.07 1544.56i −0.174667 0.105094i
\(601\) −20666.3 + 19576.1i −1.40265 + 1.32866i −0.523580 + 0.851976i \(0.675404\pi\)
−0.879073 + 0.476687i \(0.841837\pi\)
\(602\) 4845.71 + 2241.86i 0.328067 + 0.151780i
\(603\) −5957.77 + 647.947i −0.402354 + 0.0437586i
\(604\) 262.109 88.3147i 0.0176574 0.00594946i
\(605\) −6413.26 16096.1i −0.430968 1.08165i
\(606\) 5415.83 + 5130.15i 0.363041 + 0.343891i
\(607\) 5519.41 + 19879.1i 0.369071 + 1.32927i 0.882165 + 0.470941i \(0.156085\pi\)
−0.513094 + 0.858332i \(0.671501\pi\)
\(608\) 5383.59 + 10154.5i 0.359101 + 0.677336i
\(609\) 1646.50 1251.63i 0.109556 0.0832821i
\(610\) 944.064 + 17412.2i 0.0626623 + 1.15574i
\(611\) 532.059 + 179.272i 0.0352288 + 0.0118700i
\(612\) −394.877 86.9190i −0.0260816 0.00574100i
\(613\) −8719.01 + 16445.8i −0.574482 + 1.08359i 0.410650 + 0.911793i \(0.365302\pi\)
−0.985133 + 0.171796i \(0.945043\pi\)
\(614\) 1999.90 + 12198.9i 0.131449 + 0.801801i
\(615\) 7866.42 9261.07i 0.515780 0.607223i
\(616\) 12224.1 + 14391.3i 0.799551 + 0.941304i
\(617\) 3456.86 21085.9i 0.225556 1.37583i −0.594752 0.803909i \(-0.702750\pi\)
0.820308 0.571922i \(-0.193802\pi\)
\(618\) 830.107 + 631.031i 0.0540320 + 0.0410741i
\(619\) 10797.4 15925.0i 0.701106 1.03405i −0.295784 0.955255i \(-0.595581\pi\)
0.996890 0.0787995i \(-0.0251087\pi\)
\(620\) −4436.35 + 6543.13i −0.287368 + 0.423836i
\(621\) −2651.41 2015.55i −0.171332 0.130243i
\(622\) −2065.96 + 12601.8i −0.133179 + 0.812358i
\(623\) −12196.4 14358.7i −0.784330 0.923385i
\(624\) 82.9659 97.6750i 0.00532258 0.00626623i
\(625\) 1442.08 + 8796.28i 0.0922929 + 0.562962i
\(626\) −3037.80 + 5729.89i −0.193953 + 0.365835i
\(627\) −16294.4 3586.67i −1.03786 0.228450i
\(628\) −2682.04 903.685i −0.170422 0.0574219i
\(629\) −94.9132 1750.57i −0.00601659 0.110970i
\(630\) 2044.05 1553.85i 0.129265 0.0982646i
\(631\) −366.865 691.980i −0.0231453 0.0436566i 0.871670 0.490094i \(-0.163037\pi\)
−0.894815 + 0.446437i \(0.852693\pi\)
\(632\) −1054.43 3797.70i −0.0663652 0.239026i
\(633\) 8381.78 + 7939.65i 0.526297 + 0.498535i
\(634\) 2018.62 + 5066.36i 0.126451 + 0.317368i
\(635\) −560.150 + 188.736i −0.0350061 + 0.0117949i
\(636\) 2362.93 256.984i 0.147321 0.0160222i
\(637\) 178.744 + 82.6956i 0.0111179 + 0.00514367i
\(638\) 4823.13 4568.71i 0.299294 0.283506i
\(639\) −5226.32 3144.57i −0.323553 0.194675i
\(640\) −2918.57 317.414i −0.180260 0.0196045i
\(641\) −8326.92 + 1832.89i −0.513094 + 0.112941i −0.463968 0.885852i \(-0.653575\pi\)
−0.0491263 + 0.998793i \(0.515644\pi\)
\(642\) −1039.04 + 3742.28i −0.0638748 + 0.230056i
\(643\) 10046.5 6044.80i 0.616169 0.370737i −0.172991 0.984923i \(-0.555343\pi\)
0.789161 + 0.614186i \(0.210516\pi\)
\(644\) 4123.87 1907.90i 0.252334 0.116742i
\(645\) −1755.16 + 4405.13i −0.107147 + 0.268918i
\(646\) 201.003 3707.29i 0.0122421 0.225792i
\(647\) 15975.0 + 23561.3i 0.970697 + 1.43167i 0.900858 + 0.434113i \(0.142938\pi\)
0.0698391 + 0.997558i \(0.477751\pi\)
\(648\) −1995.23 −0.120957
\(649\) −25107.7 5493.20i −1.51859 0.332245i
\(650\) 114.393 0.00690288
\(651\) 7182.57 + 10593.5i 0.432423 + 0.637776i
\(652\) 395.028 7285.86i 0.0237277 0.437633i
\(653\) 7306.23 18337.2i 0.437848 1.09892i −0.530138 0.847911i \(-0.677860\pi\)
0.967986 0.251004i \(-0.0807608\pi\)
\(654\) 3040.44 1406.66i 0.181790 0.0841050i
\(655\) −13675.5 + 8228.29i −0.815797 + 0.490849i
\(656\) −4099.73 + 14765.9i −0.244005 + 0.878827i
\(657\) −6364.00 + 1400.82i −0.377905 + 0.0831831i
\(658\) −14103.3 1533.82i −0.835567 0.0908734i
\(659\) −8040.50 4837.81i −0.475286 0.285970i 0.257686 0.966229i \(-0.417040\pi\)
−0.732972 + 0.680258i \(0.761868\pi\)
\(660\) −3093.63 + 2930.44i −0.182454 + 0.172829i
\(661\) −15828.9 7323.24i −0.931428 0.430924i −0.105321 0.994438i \(-0.533587\pi\)
−0.826107 + 0.563514i \(0.809449\pi\)
\(662\) 9430.85 1025.67i 0.553687 0.0602170i
\(663\) 57.5778 19.4002i 0.00337276 0.00113641i
\(664\) −6694.44 16801.8i −0.391257 0.981982i
\(665\) −8843.59 8377.10i −0.515699 0.488496i
\(666\) −588.092 2118.12i −0.0342164 0.123236i
\(667\) −2947.04 5558.71i −0.171079 0.322690i
\(668\) 5323.40 4046.75i 0.308336 0.234391i
\(669\) −143.432 2645.44i −0.00828906 0.152883i
\(670\) −13318.8 4487.63i −0.767987 0.258765i
\(671\) −45759.1 10072.3i −2.63266 0.579491i
\(672\) 2226.11 4198.89i 0.127789 0.241035i
\(673\) 2641.42 + 16111.9i 0.151291 + 0.922837i 0.947953 + 0.318411i \(0.103149\pi\)
−0.796661 + 0.604426i \(0.793403\pi\)
\(674\) 11479.6 13514.8i 0.656049 0.772361i
\(675\) −708.642 834.278i −0.0404084 0.0475724i
\(676\) −967.991 + 5904.48i −0.0550746 + 0.335940i
\(677\) −355.535 270.271i −0.0201836 0.0153432i 0.595034 0.803701i \(-0.297139\pi\)
−0.615217 + 0.788357i \(0.710932\pi\)
\(678\) −3184.35 + 4696.57i −0.180375 + 0.266033i
\(679\) 8113.08 11965.9i 0.458544 0.676302i
\(680\) −2970.83 2258.37i −0.167539 0.127359i
\(681\) 1289.30 7864.39i 0.0725494 0.442532i
\(682\) 26615.4 + 31334.1i 1.49436 + 1.75930i
\(683\) −21877.9 + 25756.7i −1.22568 + 1.44298i −0.367184 + 0.930148i \(0.619678\pi\)
−0.858492 + 0.512828i \(0.828598\pi\)
\(684\) 389.127 + 2373.57i 0.0217524 + 0.132684i
\(685\) −6551.17 + 12356.8i −0.365412 + 0.689240i
\(686\) −15258.8 3358.72i −0.849248 0.186934i
\(687\) −9500.15 3200.97i −0.527588 0.177765i
\(688\) −323.769 5971.56i −0.0179412 0.330906i
\(689\) −284.340 + 216.150i −0.0157221 + 0.0119516i
\(690\) −3658.62 6900.88i −0.201857 0.380742i
\(691\) −3780.41 13615.8i −0.208124 0.749594i −0.991731 0.128337i \(-0.959036\pi\)
0.783607 0.621257i \(-0.213378\pi\)
\(692\) −3324.47 3149.11i −0.182627 0.172993i
\(693\) 2553.59 + 6409.03i 0.139975 + 0.351312i
\(694\) 23924.1 8060.97i 1.30857 0.440908i
\(695\) 3996.86 434.684i 0.218143 0.0237245i
\(696\) −3420.78 1582.62i −0.186299 0.0861912i
\(697\) −5274.59 + 4996.36i −0.286642 + 0.271522i
\(698\) −22919.9 13790.4i −1.24288 0.747816i
\(699\) 11667.1 + 1268.87i 0.631316 + 0.0686598i
\(700\) 1458.47 321.034i 0.0787501 0.0173342i
\(701\) −342.982 + 1235.31i −0.0184797 + 0.0665578i −0.972215 0.234090i \(-0.924789\pi\)
0.953735 + 0.300648i \(0.0972028\pi\)
\(702\) 65.2789 39.2770i 0.00350968 0.00211170i
\(703\) −9465.11 + 4379.03i −0.507800 + 0.234933i
\(704\) 11489.6 28836.7i 0.615101 1.54379i
\(705\) 682.123 12581.0i 0.0364400 0.672097i
\(706\) 14545.7 + 21453.3i 0.775403 + 1.14363i
\(707\) −14634.3 −0.778474
\(708\) 604.074 + 3655.60i 0.0320657 + 0.194048i
\(709\) −2950.91 −0.156310 −0.0781551 0.996941i \(-0.524903\pi\)
−0.0781551 + 0.996941i \(0.524903\pi\)
\(710\) −8027.40 11839.5i −0.424314 0.625816i
\(711\) 77.9632 1437.95i 0.00411231 0.0758470i
\(712\) −12708.0 + 31894.6i −0.668893 + 1.67879i
\(713\) 35336.2 16348.3i 1.85603 0.858691i
\(714\) −1315.46 + 791.485i −0.0689493 + 0.0414854i
\(715\) 171.307 616.990i 0.00896014 0.0322715i
\(716\) −1775.33 + 390.779i −0.0926635 + 0.0203968i
\(717\) −27.1715 2.95508i −0.00141526 0.000153919i
\(718\) −6914.28 4160.18i −0.359385 0.216235i
\(719\) −13644.8 + 12925.0i −0.707740 + 0.670407i −0.954344 0.298710i \(-0.903444\pi\)
0.246604 + 0.969116i \(0.420685\pi\)
\(720\) −2610.12 1207.57i −0.135102 0.0625049i
\(721\) −2033.57 + 221.164i −0.105040 + 0.0114238i
\(722\) −6001.70 + 2022.21i −0.309363 + 0.104236i
\(723\) −117.631 295.232i −0.00605083 0.0151864i
\(724\) 7852.24 + 7438.03i 0.403075 + 0.381813i
\(725\) −553.200 1992.45i −0.0283384 0.102066i
\(726\) 6084.70 + 11477.0i 0.311053 + 0.586708i
\(727\) −451.432 + 343.169i −0.0230298 + 0.0175068i −0.616626 0.787256i \(-0.711501\pi\)
0.593596 + 0.804763i \(0.297708\pi\)
\(728\) 22.1453 + 408.446i 0.00112742 + 0.0207940i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) −14924.8 3285.21i −0.756703 0.166563i
\(731\) 1328.07 2505.00i 0.0671961 0.126745i
\(732\) 1092.78 + 6665.63i 0.0551778 + 0.336570i
\(733\) 1701.75 2003.46i 0.0857512 0.100954i −0.717613 0.696442i \(-0.754765\pi\)
0.803364 + 0.595488i \(0.203041\pi\)
\(734\) −1081.35 1273.07i −0.0543781 0.0640188i
\(735\) 715.023 4361.45i 0.0358830 0.218877i
\(736\) −11509.3 8749.18i −0.576413 0.438178i
\(737\) 21192.6 31256.7i 1.05921 1.56222i
\(738\) −5112.36 + 7540.16i −0.254998 + 0.376094i
\(739\) 15645.3 + 11893.3i 0.778787 + 0.592018i 0.917233 0.398352i \(-0.130418\pi\)
−0.138446 + 0.990370i \(0.544211\pi\)
\(740\) −430.918 + 2628.48i −0.0214066 + 0.130574i
\(741\) −233.989 275.473i −0.0116003 0.0136569i
\(742\) 5842.53 6878.36i 0.289065 0.340313i
\(743\) −4274.13 26071.1i −0.211040 1.28729i −0.853550 0.521010i \(-0.825555\pi\)
0.642510 0.766277i \(-0.277893\pi\)
\(744\) 10925.5 20607.7i 0.538372 1.01548i
\(745\) −12463.8 2743.48i −0.612935 0.134917i
\(746\) 24441.0 + 8235.14i 1.19953 + 0.404169i
\(747\) −357.762 6598.53i −0.0175232 0.323196i
\(748\) 2028.33 1541.90i 0.0991487 0.0753709i
\(749\) −3568.85 6731.57i −0.174103 0.328393i
\(750\) −2804.27 10100.1i −0.136530 0.491736i
\(751\) −2336.14 2212.91i −0.113511 0.107524i 0.628839 0.777535i \(-0.283530\pi\)
−0.742350 + 0.670012i \(0.766289\pi\)
\(752\) 5881.50 + 14761.5i 0.285208 + 0.715818i
\(753\) 6190.04 2085.67i 0.299572 0.100937i
\(754\) 143.074 15.5602i 0.00691039 0.000751551i
\(755\) 846.500 + 391.633i 0.0408044 + 0.0188781i
\(756\) 722.055 683.967i 0.0347366 0.0329043i
\(757\) −26687.5 16057.3i −1.28134 0.770956i −0.298321 0.954466i \(-0.596427\pi\)
−0.983018 + 0.183509i \(0.941254\pi\)
\(758\) −443.562 48.2402i −0.0212545 0.00231156i
\(759\) 20496.4 4511.61i 0.980202 0.215759i
\(760\) −5938.95 + 21390.2i −0.283458 + 1.02092i
\(761\) 10502.7 6319.29i 0.500295 0.301017i −0.242948 0.970039i \(-0.578114\pi\)
0.743243 + 0.669022i \(0.233287\pi\)
\(762\) 402.195 186.075i 0.0191207 0.00884620i
\(763\) −2432.54 + 6105.21i −0.115418 + 0.289677i
\(764\) 707.261 13044.7i 0.0334919 0.617722i
\(765\) −765.167 1128.54i −0.0361629 0.0533364i
\(766\) 22644.5 1.06812
\(767\) −360.986 423.893i −0.0169941 0.0199555i
\(768\) −10935.2 −0.513790
\(769\) −4231.79 6241.42i −0.198442 0.292681i 0.715428 0.698686i \(-0.246232\pi\)
−0.913871 + 0.406006i \(0.866921\pi\)
\(770\) −875.945 + 16155.8i −0.0409959 + 0.756125i