Properties

Label 177.4.f.a.2.20
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.20
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.100013 + 1.84463i) q^{2} +(2.00907 - 4.79204i) q^{3} +(4.56043 + 0.495977i) q^{4} +(6.12126 - 18.1673i) q^{5} +(8.63862 + 4.18527i) q^{6} +(1.32430 + 1.95320i) q^{7} +(-3.76193 + 22.9468i) q^{8} +(-18.9273 - 19.2551i) q^{9} +O(q^{10})\) \(q+(-0.100013 + 1.84463i) q^{2} +(2.00907 - 4.79204i) q^{3} +(4.56043 + 0.495977i) q^{4} +(6.12126 - 18.1673i) q^{5} +(8.63862 + 4.18527i) q^{6} +(1.32430 + 1.95320i) q^{7} +(-3.76193 + 22.9468i) q^{8} +(-18.9273 - 19.2551i) q^{9} +(32.8997 + 13.1084i) q^{10} +(34.4557 - 7.58428i) q^{11} +(11.5390 - 20.8573i) q^{12} +(-2.61388 + 2.22025i) q^{13} +(-3.73539 + 2.24751i) q^{14} +(-74.7601 - 65.8326i) q^{15} +(-6.11157 - 1.34526i) q^{16} +(-95.2636 - 64.5903i) q^{17} +(37.4116 - 32.9881i) q^{18} +(-31.0271 + 58.5233i) q^{19} +(36.9261 - 79.8145i) q^{20} +(12.0204 - 2.42200i) q^{21} +(10.5442 + 64.3168i) q^{22} +(-26.8145 + 25.4000i) q^{23} +(102.404 + 64.1290i) q^{24} +(-193.068 - 146.766i) q^{25} +(-3.83412 - 5.04370i) q^{26} +(-130.297 + 52.0154i) q^{27} +(5.07066 + 9.56428i) q^{28} +(269.497 - 14.6117i) q^{29} +(128.914 - 131.321i) q^{30} +(285.949 - 151.601i) q^{31} +(-46.6742 + 168.105i) q^{32} +(32.8799 - 180.351i) q^{33} +(128.673 - 169.267i) q^{34} +(43.5908 - 12.1029i) q^{35} +(-76.7664 - 97.1990i) q^{36} +(217.413 - 35.6431i) q^{37} +(-104.851 - 63.0867i) q^{38} +(5.38804 + 16.9864i) q^{39} +(393.852 + 208.807i) q^{40} +(-272.365 + 287.533i) q^{41} +(3.26549 + 22.4156i) q^{42} +(-56.7474 + 257.806i) q^{43} +(160.895 - 17.4984i) q^{44} +(-465.671 + 225.991i) q^{45} +(-44.1719 - 52.0032i) q^{46} +(-70.1368 + 23.6318i) q^{47} +(-18.7251 + 26.5842i) q^{48} +(124.896 - 313.466i) q^{49} +(290.039 - 341.460i) q^{50} +(-500.911 + 326.740i) q^{51} +(-13.0216 + 8.82886i) q^{52} +(170.082 - 67.7669i) q^{53} +(-82.9178 - 245.553i) q^{54} +(73.1270 - 672.392i) q^{55} +(-49.8017 + 23.0407i) q^{56} +(218.110 + 266.260i) q^{57} +498.584i q^{58} +(149.809 + 427.711i) q^{59} +(-308.287 - 337.304i) q^{60} +(-126.175 - 6.84103i) q^{61} +(251.049 + 542.634i) q^{62} +(12.5436 - 62.4684i) q^{63} +(-352.867 - 118.895i) q^{64} +(24.3356 + 61.0777i) q^{65} +(329.392 + 78.6887i) q^{66} +(218.287 + 35.7863i) q^{67} +(-402.408 - 341.808i) q^{68} +(67.8456 + 179.526i) q^{69} +(17.9658 + 81.6194i) q^{70} +(181.212 + 537.818i) q^{71} +(513.045 - 361.884i) q^{72} +(-361.665 - 601.091i) q^{73} +(44.0043 + 404.613i) q^{74} +(-1091.20 + 630.324i) q^{75} +(-170.523 + 251.503i) q^{76} +(60.4436 + 57.2552i) q^{77} +(-31.8726 + 8.24010i) q^{78} +(-70.0583 - 32.4124i) q^{79} +(-61.8502 + 102.796i) q^{80} +(-12.5170 + 728.893i) q^{81} +(-503.153 - 531.172i) q^{82} +(272.955 + 983.095i) q^{83} +(56.0197 - 5.08348i) q^{84} +(-1756.56 + 1335.30i) q^{85} +(-469.882 - 130.462i) q^{86} +(471.418 - 1320.79i) q^{87} +(44.4147 + 819.180i) q^{88} +(-59.0986 - 1090.01i) q^{89} +(-370.298 - 881.594i) q^{90} +(-7.79816 - 2.16515i) q^{91} +(-134.883 + 102.536i) q^{92} +(-151.984 - 1674.86i) q^{93} +(-36.5775 - 131.740i) q^{94} +(873.282 + 921.913i) q^{95} +(711.795 + 561.400i) q^{96} +(-660.267 + 1097.37i) q^{97} +(565.738 + 261.738i) q^{98} +(-798.189 - 519.899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.100013 + 1.84463i −0.0353600 + 0.652177i 0.926108 + 0.377259i \(0.123133\pi\)
−0.961468 + 0.274918i \(0.911349\pi\)
\(3\) 2.00907 4.79204i 0.386646 0.922228i
\(4\) 4.56043 + 0.495977i 0.570054 + 0.0619971i
\(5\) 6.12126 18.1673i 0.547502 1.62493i −0.214048 0.976823i \(-0.568665\pi\)
0.761551 0.648105i \(-0.224438\pi\)
\(6\) 8.63862 + 4.18527i 0.587784 + 0.284771i
\(7\) 1.32430 + 1.95320i 0.0715057 + 0.105463i 0.861760 0.507315i \(-0.169362\pi\)
−0.790255 + 0.612779i \(0.790052\pi\)
\(8\) −3.76193 + 22.9468i −0.166256 + 1.01411i
\(9\) −18.9273 19.2551i −0.701010 0.713151i
\(10\) 32.8997 + 13.1084i 1.04038 + 0.414526i
\(11\) 34.4557 7.58428i 0.944436 0.207886i 0.284048 0.958810i \(-0.408323\pi\)
0.660389 + 0.750924i \(0.270392\pi\)
\(12\) 11.5390 20.8573i 0.277585 0.501749i
\(13\) −2.61388 + 2.22025i −0.0557661 + 0.0473681i −0.674836 0.737968i \(-0.735786\pi\)
0.619070 + 0.785336i \(0.287510\pi\)
\(14\) −3.73539 + 2.24751i −0.0713090 + 0.0429052i
\(15\) −74.7601 65.8326i −1.28687 1.13319i
\(16\) −6.11157 1.34526i −0.0954933 0.0210197i
\(17\) −95.2636 64.5903i −1.35911 0.921498i −0.359177 0.933270i \(-0.616942\pi\)
−0.999931 + 0.0117719i \(0.996253\pi\)
\(18\) 37.4116 32.9881i 0.489888 0.431965i
\(19\) −31.0271 + 58.5233i −0.374637 + 0.706640i −0.997108 0.0760032i \(-0.975784\pi\)
0.622471 + 0.782643i \(0.286129\pi\)
\(20\) 36.9261 79.8145i 0.412847 0.892353i
\(21\) 12.0204 2.42200i 0.124908 0.0251677i
\(22\) 10.5442 + 64.3168i 0.102183 + 0.623290i
\(23\) −26.8145 + 25.4000i −0.243096 + 0.230272i −0.799541 0.600612i \(-0.794924\pi\)
0.556445 + 0.830884i \(0.312165\pi\)
\(24\) 102.404 + 64.1290i 0.870963 + 0.545429i
\(25\) −193.068 146.766i −1.54454 1.17413i
\(26\) −3.83412 5.04370i −0.0289205 0.0380443i
\(27\) −130.297 + 52.0154i −0.928731 + 0.370754i
\(28\) 5.07066 + 9.56428i 0.0342237 + 0.0645528i
\(29\) 269.497 14.6117i 1.72566 0.0935628i 0.835583 0.549365i \(-0.185130\pi\)
0.890081 + 0.455802i \(0.150648\pi\)
\(30\) 128.914 131.321i 0.784546 0.799194i
\(31\) 285.949 151.601i 1.65671 0.878332i 0.665445 0.746447i \(-0.268242\pi\)
0.991265 0.131885i \(-0.0421029\pi\)
\(32\) −46.6742 + 168.105i −0.257841 + 0.928659i
\(33\) 32.8799 180.351i 0.173444 0.951364i
\(34\) 128.673 169.267i 0.649037 0.853794i
\(35\) 43.5908 12.1029i 0.210519 0.0584504i
\(36\) −76.7664 97.1990i −0.355400 0.449995i
\(37\) 217.413 35.6431i 0.966015 0.158370i 0.341929 0.939726i \(-0.388920\pi\)
0.624086 + 0.781356i \(0.285472\pi\)
\(38\) −104.851 63.0867i −0.447607 0.269316i
\(39\) 5.38804 + 16.9864i 0.0221225 + 0.0697437i
\(40\) 393.852 + 208.807i 1.55684 + 0.825383i
\(41\) −272.365 + 287.533i −1.03747 + 1.09525i −0.0421032 + 0.999113i \(0.513406\pi\)
−0.995369 + 0.0961324i \(0.969353\pi\)
\(42\) 3.26549 + 22.4156i 0.0119971 + 0.0823523i
\(43\) −56.7474 + 257.806i −0.201253 + 0.914304i 0.762391 + 0.647116i \(0.224025\pi\)
−0.963645 + 0.267187i \(0.913906\pi\)
\(44\) 160.895 17.4984i 0.551268 0.0599540i
\(45\) −465.671 + 225.991i −1.54262 + 0.748639i
\(46\) −44.1719 52.0032i −0.141582 0.166684i
\(47\) −70.1368 + 23.6318i −0.217670 + 0.0733416i −0.426024 0.904712i \(-0.640086\pi\)
0.208354 + 0.978054i \(0.433189\pi\)
\(48\) −18.7251 + 26.5842i −0.0563070 + 0.0799395i
\(49\) 124.896 313.466i 0.364129 0.913894i
\(50\) 290.039 341.460i 0.820355 0.965796i
\(51\) −500.911 + 326.740i −1.37532 + 0.897114i
\(52\) −13.0216 + 8.82886i −0.0347264 + 0.0235451i
\(53\) 170.082 67.7669i 0.440803 0.175632i −0.139168 0.990269i \(-0.544443\pi\)
0.579972 + 0.814637i \(0.303064\pi\)
\(54\) −82.9178 245.553i −0.208957 0.618806i
\(55\) 73.1270 672.392i 0.179281 1.64846i
\(56\) −49.8017 + 23.0407i −0.118840 + 0.0549811i
\(57\) 218.110 + 266.260i 0.506831 + 0.618720i
\(58\) 498.584i 1.12875i
\(59\) 149.809 + 427.711i 0.330566 + 0.943783i
\(60\) −308.287 337.304i −0.663328 0.725764i
\(61\) −126.175 6.84103i −0.264838 0.0143591i −0.0787580 0.996894i \(-0.525095\pi\)
−0.186080 + 0.982535i \(0.559578\pi\)
\(62\) 251.049 + 542.634i 0.514246 + 1.11153i
\(63\) 12.5436 62.4684i 0.0250849 0.124925i
\(64\) −352.867 118.895i −0.689193 0.232216i
\(65\) 24.3356 + 61.0777i 0.0464378 + 0.116550i
\(66\) 329.392 + 78.6887i 0.614324 + 0.146756i
\(67\) 218.287 + 35.7863i 0.398029 + 0.0652536i 0.357472 0.933924i \(-0.383639\pi\)
0.0405566 + 0.999177i \(0.487087\pi\)
\(68\) −402.408 341.808i −0.717634 0.609564i
\(69\) 67.8456 + 179.526i 0.118372 + 0.313224i
\(70\) 17.9658 + 81.6194i 0.0306760 + 0.139363i
\(71\) 181.212 + 537.818i 0.302900 + 0.898976i 0.985721 + 0.168390i \(0.0538567\pi\)
−0.682820 + 0.730586i \(0.739247\pi\)
\(72\) 513.045 361.884i 0.839764 0.592339i
\(73\) −361.665 601.091i −0.579858 0.963731i −0.998455 0.0555595i \(-0.982306\pi\)
0.418597 0.908172i \(-0.362522\pi\)
\(74\) 44.0043 + 404.613i 0.0691270 + 0.635612i
\(75\) −1091.20 + 630.324i −1.68001 + 0.970447i
\(76\) −170.523 + 251.503i −0.257373 + 0.379596i
\(77\) 60.4436 + 57.2552i 0.0894569 + 0.0847381i
\(78\) −31.8726 + 8.24010i −0.0462675 + 0.0119616i
\(79\) −70.0583 32.4124i −0.0997743 0.0461605i 0.369367 0.929284i \(-0.379574\pi\)
−0.469141 + 0.883123i \(0.655437\pi\)
\(80\) −61.8502 + 102.796i −0.0864382 + 0.143661i
\(81\) −12.5170 + 728.893i −0.0171701 + 0.999853i
\(82\) −503.153 531.172i −0.677609 0.715343i
\(83\) 272.955 + 983.095i 0.360972 + 1.30010i 0.891725 + 0.452578i \(0.149495\pi\)
−0.530753 + 0.847527i \(0.678091\pi\)
\(84\) 56.0197 5.08348i 0.0727649 0.00660302i
\(85\) −1756.56 + 1335.30i −2.24148 + 1.70393i
\(86\) −469.882 130.462i −0.589171 0.163583i
\(87\) 471.418 1320.79i 0.580934 1.62763i
\(88\) 44.4147 + 819.180i 0.0538025 + 0.992328i
\(89\) −59.0986 1090.01i −0.0703869 1.29821i −0.793963 0.607966i \(-0.791986\pi\)
0.723576 0.690245i \(-0.242497\pi\)
\(90\) −370.298 881.594i −0.433698 1.03254i
\(91\) −7.79816 2.16515i −0.00898318 0.00249417i
\(92\) −134.883 + 102.536i −0.152854 + 0.116196i
\(93\) −151.984 1674.86i −0.169463 1.86747i
\(94\) −36.5775 131.740i −0.0401349 0.144553i
\(95\) 873.282 + 921.913i 0.943125 + 0.995645i
\(96\) 711.795 + 561.400i 0.756742 + 0.596850i
\(97\) −660.267 + 1097.37i −0.691134 + 1.14867i 0.290312 + 0.956932i \(0.406241\pi\)
−0.981446 + 0.191741i \(0.938587\pi\)
\(98\) 565.738 + 261.738i 0.583145 + 0.269792i
\(99\) −798.189 519.899i −0.810314 0.527796i
\(100\) −807.679 765.074i −0.807679 0.765074i
\(101\) −296.253 + 436.940i −0.291864 + 0.430467i −0.945146 0.326647i \(-0.894081\pi\)
0.653282 + 0.757114i \(0.273391\pi\)
\(102\) −552.619 956.675i −0.536445 0.928676i
\(103\) −7.30899 67.2050i −0.00699200 0.0642904i 0.990122 0.140208i \(-0.0447770\pi\)
−0.997114 + 0.0759173i \(0.975812\pi\)
\(104\) −41.1143 68.3325i −0.0387653 0.0644284i
\(105\) 29.5793 233.204i 0.0274918 0.216747i
\(106\) 107.995 + 320.517i 0.0989564 + 0.293692i
\(107\) 2.81253 + 12.7774i 0.00254110 + 0.0115443i 0.977874 0.209195i \(-0.0670842\pi\)
−0.975333 + 0.220739i \(0.929153\pi\)
\(108\) −620.011 + 172.588i −0.552413 + 0.153771i
\(109\) 1152.51 + 978.953i 1.01276 + 0.860245i 0.990222 0.139501i \(-0.0445498\pi\)
0.0225370 + 0.999746i \(0.492826\pi\)
\(110\) 1233.00 + 202.141i 1.06875 + 0.175212i
\(111\) 265.996 1113.46i 0.227452 0.952119i
\(112\) −5.46602 13.7187i −0.00461152 0.0115740i
\(113\) −332.086 111.893i −0.276460 0.0931502i 0.177656 0.984093i \(-0.443148\pi\)
−0.454116 + 0.890942i \(0.650045\pi\)
\(114\) −512.967 + 375.704i −0.421436 + 0.308666i
\(115\) 297.310 + 642.625i 0.241081 + 0.521088i
\(116\) 1236.27 + 67.0285i 0.989522 + 0.0536503i
\(117\) 92.2246 + 8.30722i 0.0728732 + 0.00656413i
\(118\) −803.952 + 233.565i −0.627202 + 0.182215i
\(119\) 271.607i 0.209228i
\(120\) 1791.89 1467.85i 1.36314 1.11663i
\(121\) −78.3056 + 36.2280i −0.0588321 + 0.0272186i
\(122\) 25.2384 232.063i 0.0187293 0.172213i
\(123\) 830.666 + 1882.86i 0.608932 + 1.38026i
\(124\) 1379.24 549.540i 0.998868 0.397985i
\(125\) −1864.72 + 1264.31i −1.33429 + 0.904670i
\(126\) 113.977 + 29.3861i 0.0805862 + 0.0207771i
\(127\) 731.478 861.163i 0.511088 0.601699i −0.444728 0.895666i \(-0.646700\pi\)
0.955816 + 0.293966i \(0.0949754\pi\)
\(128\) −261.999 + 657.568i −0.180919 + 0.454073i
\(129\) 1121.41 + 789.886i 0.765383 + 0.539113i
\(130\) −115.100 + 38.7816i −0.0776532 + 0.0261644i
\(131\) −322.269 379.404i −0.214937 0.253043i 0.644119 0.764926i \(-0.277224\pi\)
−0.859056 + 0.511882i \(0.828948\pi\)
\(132\) 239.396 806.169i 0.157854 0.531576i
\(133\) −155.397 + 16.9005i −0.101313 + 0.0110185i
\(134\) −87.8441 + 399.080i −0.0566311 + 0.257278i
\(135\) 147.392 + 2685.54i 0.0939666 + 1.71211i
\(136\) 1840.52 1943.01i 1.16046 1.22509i
\(137\) 1459.31 + 773.677i 0.910053 + 0.482479i 0.856536 0.516087i \(-0.172612\pi\)
0.0535170 + 0.998567i \(0.482957\pi\)
\(138\) −337.946 + 107.195i −0.208463 + 0.0661237i
\(139\) 1848.93 + 1112.47i 1.12823 + 0.678836i 0.952178 0.305544i \(-0.0988384\pi\)
0.176056 + 0.984380i \(0.443666\pi\)
\(140\) 204.795 33.5745i 0.123631 0.0202683i
\(141\) −27.6651 + 383.576i −0.0165236 + 0.229099i
\(142\) −1010.20 + 280.481i −0.597002 + 0.165757i
\(143\) −73.2241 + 96.3246i −0.0428203 + 0.0563292i
\(144\) 89.7723 + 143.141i 0.0519516 + 0.0828362i
\(145\) 1384.20 4985.45i 0.792772 2.85531i
\(146\) 1144.96 607.022i 0.649027 0.344092i
\(147\) −1251.21 1228.28i −0.702030 0.689163i
\(148\) 1009.18 54.7160i 0.560499 0.0303894i
\(149\) 920.836 + 1736.88i 0.506294 + 0.954972i 0.996518 + 0.0833756i \(0.0265701\pi\)
−0.490224 + 0.871596i \(0.663085\pi\)
\(150\) −1053.58 2075.90i −0.573498 1.12998i
\(151\) −583.195 767.180i −0.314303 0.413458i 0.611631 0.791143i \(-0.290514\pi\)
−0.925934 + 0.377684i \(0.876720\pi\)
\(152\) −1226.20 932.132i −0.654328 0.497407i
\(153\) 559.387 + 3056.83i 0.295580 + 1.61523i
\(154\) −111.660 + 105.770i −0.0584274 + 0.0553454i
\(155\) −1003.80 6122.90i −0.520174 3.17292i
\(156\) 16.1469 + 80.1378i 0.00828711 + 0.0411292i
\(157\) −230.648 + 498.537i −0.117247 + 0.253424i −0.957310 0.289064i \(-0.906656\pi\)
0.840063 + 0.542489i \(0.182518\pi\)
\(158\) 66.7958 125.990i 0.0336328 0.0634382i
\(159\) 16.9654 951.189i 0.00846190 0.474429i
\(160\) 2768.30 + 1876.96i 1.36784 + 0.927415i
\(161\) −85.1219 18.7367i −0.0416680 0.00917181i
\(162\) −1343.29 95.9881i −0.651473 0.0465527i
\(163\) 129.626 77.9936i 0.0622891 0.0374781i −0.484069 0.875030i \(-0.660841\pi\)
0.546358 + 0.837552i \(0.316014\pi\)
\(164\) −1384.71 + 1176.19i −0.659317 + 0.560029i
\(165\) −3075.21 1701.31i −1.45094 0.802708i
\(166\) −1840.75 + 405.179i −0.860661 + 0.189446i
\(167\) −1702.34 678.273i −0.788807 0.314289i −0.0592799 0.998241i \(-0.518880\pi\)
−0.729527 + 0.683952i \(0.760260\pi\)
\(168\) 10.3569 + 284.942i 0.00475625 + 0.130856i
\(169\) −353.532 + 2156.45i −0.160916 + 0.981543i
\(170\) −2287.47 3373.76i −1.03200 1.52209i
\(171\) 1714.13 510.256i 0.766565 0.228189i
\(172\) −386.659 + 1147.56i −0.171410 + 0.508725i
\(173\) 2386.36 + 259.533i 1.04874 + 0.114057i 0.616225 0.787570i \(-0.288661\pi\)
0.432514 + 0.901627i \(0.357627\pi\)
\(174\) 2389.23 + 1001.69i 1.04096 + 0.436425i
\(175\) 30.9838 571.463i 0.0133838 0.246849i
\(176\) −220.782 −0.0945570
\(177\) 2350.58 + 141.412i 0.998195 + 0.0600520i
\(178\) 2016.58 0.849151
\(179\) 110.648 2040.78i 0.0462024 0.852152i −0.879965 0.475039i \(-0.842434\pi\)
0.926167 0.377113i \(-0.123083\pi\)
\(180\) −2235.75 + 799.655i −0.925793 + 0.331126i
\(181\) −3894.52 423.554i −1.59932 0.173937i −0.735425 0.677606i \(-0.763017\pi\)
−0.863896 + 0.503670i \(0.831983\pi\)
\(182\) 4.77383 14.1682i 0.00194428 0.00577043i
\(183\) −286.278 + 590.893i −0.115641 + 0.238689i
\(184\) −481.974 710.858i −0.193106 0.284811i
\(185\) 683.307 4167.99i 0.271555 1.65641i
\(186\) 3104.70 112.847i 1.22391 0.0444859i
\(187\) −3772.25 1503.00i −1.47516 0.587756i
\(188\) −331.575 + 72.9851i −0.128631 + 0.0283138i
\(189\) −274.150 185.613i −0.105510 0.0714358i
\(190\) −1787.93 + 1518.68i −0.682685 + 0.579878i
\(191\) −2821.07 + 1697.38i −1.06872 + 0.643028i −0.937380 0.348310i \(-0.886756\pi\)
−0.131341 + 0.991337i \(0.541928\pi\)
\(192\) −1278.68 + 1452.08i −0.480630 + 0.545808i
\(193\) 749.494 + 164.976i 0.279532 + 0.0615298i 0.352524 0.935803i \(-0.385324\pi\)
−0.0729914 + 0.997333i \(0.523255\pi\)
\(194\) −1958.21 1327.70i −0.724699 0.491358i
\(195\) 341.578 + 6.09238i 0.125441 + 0.00223736i
\(196\) 725.052 1367.59i 0.264232 0.498394i
\(197\) −1640.85 + 3546.64i −0.593431 + 1.28268i 0.345450 + 0.938437i \(0.387726\pi\)
−0.938881 + 0.344243i \(0.888136\pi\)
\(198\) 1038.85 1420.37i 0.372869 0.509805i
\(199\) −516.263 3149.07i −0.183904 1.12177i −0.903886 0.427773i \(-0.859298\pi\)
0.719982 0.693993i \(-0.244150\pi\)
\(200\) 4094.12 3878.16i 1.44749 1.37113i
\(201\) 610.042 974.140i 0.214075 0.341844i
\(202\) −776.365 590.178i −0.270420 0.205568i
\(203\) 385.435 + 507.031i 0.133262 + 0.175304i
\(204\) −2446.43 + 1241.64i −0.839628 + 0.426137i
\(205\) 3556.46 + 6708.20i 1.21168 + 2.28547i
\(206\) 124.700 6.76102i 0.0421759 0.00228671i
\(207\) 996.604 + 35.5621i 0.334632 + 0.0119408i
\(208\) 18.9617 10.0529i 0.00632095 0.00335115i
\(209\) −625.204 + 2251.78i −0.206920 + 0.745258i
\(210\) 427.218 + 77.8864i 0.140385 + 0.0255937i
\(211\) 68.3980 89.9760i 0.0223162 0.0293564i −0.784800 0.619750i \(-0.787234\pi\)
0.807116 + 0.590393i \(0.201027\pi\)
\(212\) 809.259 224.690i 0.262170 0.0727913i
\(213\) 2941.31 + 212.140i 0.946176 + 0.0682422i
\(214\) −23.8510 + 3.91017i −0.00761879 + 0.00124904i
\(215\) 4336.26 + 2609.04i 1.37549 + 0.827606i
\(216\) −703.415 3185.58i −0.221580 1.00348i
\(217\) 674.791 + 357.752i 0.211096 + 0.111916i
\(218\) −1921.08 + 2028.06i −0.596843 + 0.630079i
\(219\) −3607.06 + 525.476i −1.11298 + 0.162139i
\(220\) 666.981 3030.13i 0.204399 0.928596i
\(221\) 392.414 42.6776i 0.119442 0.0129901i
\(222\) 2027.33 + 602.026i 0.612907 + 0.182006i
\(223\) 1478.97 + 1741.17i 0.444121 + 0.522860i 0.937983 0.346681i \(-0.112691\pi\)
−0.493862 + 0.869540i \(0.664415\pi\)
\(224\) −390.154 + 131.458i −0.116376 + 0.0392117i
\(225\) 828.246 + 6495.42i 0.245406 + 1.92457i
\(226\) 239.614 601.386i 0.0705260 0.177007i
\(227\) 858.255 1010.42i 0.250945 0.295435i −0.622238 0.782828i \(-0.713776\pi\)
0.873182 + 0.487393i \(0.162052\pi\)
\(228\) 862.618 + 1322.44i 0.250562 + 0.384126i
\(229\) 2437.19 1652.45i 0.703292 0.476844i −0.156375 0.987698i \(-0.549981\pi\)
0.859668 + 0.510854i \(0.170671\pi\)
\(230\) −1215.14 + 484.157i −0.348366 + 0.138802i
\(231\) 395.804 174.618i 0.112736 0.0497361i
\(232\) −678.537 + 6239.05i −0.192018 + 1.76558i
\(233\) −3950.25 + 1827.58i −1.11069 + 0.513858i −0.887449 0.460906i \(-0.847524\pi\)
−0.223237 + 0.974764i \(0.571662\pi\)
\(234\) −24.5475 + 169.290i −0.00685777 + 0.0472941i
\(235\) 1418.85i 0.393853i
\(236\) 471.057 + 2024.85i 0.129929 + 0.558501i
\(237\) −296.074 + 270.603i −0.0811479 + 0.0741669i
\(238\) 501.015 + 27.1642i 0.136454 + 0.00739830i
\(239\) 62.5062 + 135.105i 0.0169171 + 0.0365657i 0.915850 0.401521i \(-0.131518\pi\)
−0.898933 + 0.438087i \(0.855656\pi\)
\(240\) 368.340 + 502.912i 0.0990677 + 0.135262i
\(241\) 104.061 + 35.0621i 0.0278138 + 0.00937158i 0.333174 0.942865i \(-0.391880\pi\)
−0.305360 + 0.952237i \(0.598777\pi\)
\(242\) −58.9958 148.068i −0.0156711 0.0393314i
\(243\) 3467.73 + 1524.38i 0.915454 + 0.402424i
\(244\) −572.021 93.7781i −0.150081 0.0246046i
\(245\) −4930.29 4187.83i −1.28565 1.09204i
\(246\) −3556.26 + 1343.96i −0.921704 + 0.348325i
\(247\) −48.8351 221.860i −0.0125802 0.0571524i
\(248\) 2403.03 + 7131.93i 0.615292 + 1.82612i
\(249\) 5259.41 + 667.096i 1.33856 + 0.169781i
\(250\) −2145.70 3566.18i −0.542824 0.902181i
\(251\) −823.413 7571.16i −0.207065 1.90393i −0.390012 0.920810i \(-0.627529\pi\)
0.182947 0.983123i \(-0.441436\pi\)
\(252\) 88.1873 278.662i 0.0220448 0.0696589i
\(253\) −731.271 + 1078.54i −0.181718 + 0.268014i
\(254\) 1515.37 + 1435.44i 0.374342 + 0.354596i
\(255\) 2869.77 + 11100.2i 0.704753 + 2.72598i
\(256\) −3890.32 1799.85i −0.949784 0.439417i
\(257\) 2764.33 4594.36i 0.670951 1.11513i −0.315160 0.949039i \(-0.602058\pi\)
0.986111 0.166090i \(-0.0531144\pi\)
\(258\) −1569.21 + 1989.59i −0.378661 + 0.480102i
\(259\) 357.540 + 377.450i 0.0857778 + 0.0905545i
\(260\) 80.6876 + 290.610i 0.0192463 + 0.0693188i
\(261\) −5382.18 4912.62i −1.27643 1.16507i
\(262\) 732.093 556.522i 0.172629 0.131229i
\(263\) −4381.67 1216.56i −1.02732 0.285234i −0.287316 0.957836i \(-0.592763\pi\)
−0.740005 + 0.672602i \(0.765177\pi\)
\(264\) 4014.77 + 1432.95i 0.935956 + 0.334061i
\(265\) −190.022 3504.74i −0.0440488 0.812433i
\(266\) −15.6334 288.341i −0.00360355 0.0664636i
\(267\) −5342.10 1906.70i −1.22446 0.437035i
\(268\) 977.732 + 271.466i 0.222853 + 0.0618747i
\(269\) 2748.07 2089.03i 0.622872 0.473495i −0.245508 0.969395i \(-0.578955\pi\)
0.868380 + 0.495900i \(0.165162\pi\)
\(270\) −4968.59 + 3.29478i −1.11992 + 0.000742645i
\(271\) −660.459 2378.76i −0.148044 0.533207i −0.999955 0.00951977i \(-0.996970\pi\)
0.851910 0.523688i \(-0.175444\pi\)
\(272\) 495.320 + 522.903i 0.110416 + 0.116565i
\(273\) −26.0425 + 33.0192i −0.00577350 + 0.00732018i
\(274\) −1573.10 + 2614.51i −0.346841 + 0.576455i
\(275\) −7765.41 3592.66i −1.70281 0.787802i
\(276\) 220.365 + 852.367i 0.0480594 + 0.185893i
\(277\) −5756.55 5452.89i −1.24866 1.18279i −0.975302 0.220876i \(-0.929109\pi\)
−0.273353 0.961914i \(-0.588133\pi\)
\(278\) −2237.01 + 3299.34i −0.482615 + 0.711804i
\(279\) −8331.32 2636.59i −1.78775 0.565766i
\(280\) 113.737 + 1045.80i 0.0242754 + 0.223208i
\(281\) 1092.94 + 1816.48i 0.232026 + 0.385630i 0.950894 0.309516i \(-0.100167\pi\)
−0.718868 + 0.695146i \(0.755340\pi\)
\(282\) −704.791 89.3946i −0.148829 0.0188772i
\(283\) −971.202 2882.43i −0.204000 0.605450i −1.00000 0.000153615i \(-0.999951\pi\)
0.796000 0.605296i \(-0.206945\pi\)
\(284\) 559.660 + 2542.56i 0.116936 + 0.531244i
\(285\) 6172.33 2332.61i 1.28287 0.484814i
\(286\) −170.360 144.705i −0.0352224 0.0299182i
\(287\) −922.305 151.204i −0.189693 0.0310986i
\(288\) 4120.29 2283.06i 0.843023 0.467119i
\(289\) 3084.76 + 7742.16i 0.627877 + 1.57585i
\(290\) 9057.90 + 3051.96i 1.83413 + 0.617991i
\(291\) 3932.13 + 5368.72i 0.792115 + 1.08151i
\(292\) −1351.22 2920.61i −0.270802 0.585329i
\(293\) 927.455 + 50.2851i 0.184923 + 0.0100262i 0.146368 0.989230i \(-0.453242\pi\)
0.0385553 + 0.999256i \(0.487724\pi\)
\(294\) 2390.87 2185.19i 0.474280 0.433479i
\(295\) 8687.34 103.482i 1.71457 0.0204236i
\(296\) 5123.03i 1.00598i
\(297\) −4094.99 + 2780.44i −0.800053 + 0.543224i
\(298\) −3296.01 + 1524.89i −0.640713 + 0.296425i
\(299\) 13.6954 125.927i 0.00264891 0.0243564i
\(300\) −5288.95 + 2333.34i −1.01786 + 0.449052i
\(301\) −578.698 + 230.575i −0.110816 + 0.0441531i
\(302\) 1473.49 999.053i 0.280762 0.190361i
\(303\) 1498.64 + 2297.50i 0.284141 + 0.435603i
\(304\) 268.353 315.930i 0.0506286 0.0596046i
\(305\) −896.634 + 2250.38i −0.168332 + 0.422480i
\(306\) −5694.68 + 726.142i −1.06387 + 0.135656i
\(307\) −985.833 + 332.166i −0.183272 + 0.0617515i −0.409441 0.912337i \(-0.634276\pi\)
0.226169 + 0.974088i \(0.427380\pi\)
\(308\) 247.252 + 291.087i 0.0457418 + 0.0538514i
\(309\) −336.733 99.9947i −0.0619938 0.0184094i
\(310\) 11394.9 1239.27i 2.08770 0.227051i
\(311\) 444.942 2021.39i 0.0811265 0.368562i −0.918514 0.395390i \(-0.870610\pi\)
0.999640 + 0.0268280i \(0.00854064\pi\)
\(312\) −410.053 + 59.7365i −0.0744061 + 0.0108395i
\(313\) −5439.72 + 5742.64i −0.982336 + 1.03704i 0.0169723 + 0.999856i \(0.494597\pi\)
−0.999308 + 0.0371837i \(0.988161\pi\)
\(314\) −896.551 475.321i −0.161132 0.0854265i
\(315\) −1058.10 610.269i −0.189260 0.109158i
\(316\) −303.420 182.562i −0.0540149 0.0324997i
\(317\) −1762.63 + 288.968i −0.312300 + 0.0511989i −0.315894 0.948795i \(-0.602304\pi\)
0.00359401 + 0.999994i \(0.498856\pi\)
\(318\) 1752.90 + 126.426i 0.309112 + 0.0222945i
\(319\) 9174.88 2547.39i 1.61033 0.447106i
\(320\) −4319.98 + 5682.84i −0.754669 + 0.992751i
\(321\) 66.8806 + 12.1931i 0.0116290 + 0.00212009i
\(322\) 43.0757 155.145i 0.00745502 0.0268506i
\(323\) 6735.79 3571.09i 1.16034 0.615173i
\(324\) −418.597 + 3317.86i −0.0717759 + 0.568905i
\(325\) 830.512 45.0290i 0.141749 0.00768542i
\(326\) 130.905 + 246.914i 0.0222398 + 0.0419487i
\(327\) 7006.66 3556.10i 1.18492 0.601385i
\(328\) −5573.33 7331.59i −0.938219 1.23421i
\(329\) −139.040 105.696i −0.0232995 0.0177118i
\(330\) 3445.86 5502.48i 0.574812 0.917884i
\(331\) −1594.98 + 1510.85i −0.264858 + 0.250887i −0.808591 0.588372i \(-0.799769\pi\)
0.543732 + 0.839259i \(0.317011\pi\)
\(332\) 757.200 + 4618.72i 0.125171 + 0.763509i
\(333\) −4801.35 3511.69i −0.790128 0.577896i
\(334\) 1421.42 3072.35i 0.232864 0.503328i
\(335\) 1986.33 3746.61i 0.323954 0.611042i
\(336\) −76.7220 1.36841i −0.0124569 0.000222182i
\(337\) −9369.62 6352.76i −1.51453 1.02688i −0.983787 0.179342i \(-0.942603\pi\)
−0.530741 0.847534i \(-0.678086\pi\)
\(338\) −3942.50 867.811i −0.634450 0.139653i
\(339\) −1203.38 + 1366.57i −0.192798 + 0.218943i
\(340\) −8672.97 + 5218.35i −1.38340 + 0.832367i
\(341\) 8702.81 7392.24i 1.38206 1.17394i
\(342\) 769.801 + 3212.97i 0.121714 + 0.508005i
\(343\) 1568.16 345.178i 0.246859 0.0543378i
\(344\) −5702.34 2272.02i −0.893749 0.356102i
\(345\) 3676.80 133.642i 0.573775 0.0208552i
\(346\) −717.410 + 4376.01i −0.111469 + 0.679930i
\(347\) −3933.29 5801.17i −0.608502 0.897474i 0.391237 0.920290i \(-0.372047\pi\)
−0.999740 + 0.0228161i \(0.992737\pi\)
\(348\) 2804.95 5789.58i 0.432072 0.891822i
\(349\) 342.167 1015.52i 0.0524807 0.155757i −0.918207 0.396100i \(-0.870363\pi\)
0.970688 + 0.240343i \(0.0772599\pi\)
\(350\) 1051.04 + 114.308i 0.160516 + 0.0174572i
\(351\) 225.094 425.254i 0.0342298 0.0646677i
\(352\) −333.236 + 6146.18i −0.0504589 + 0.930660i
\(353\) −4740.65 −0.714786 −0.357393 0.933954i \(-0.616334\pi\)
−0.357393 + 0.933954i \(0.616334\pi\)
\(354\) −495.943 + 4321.82i −0.0744607 + 0.648876i
\(355\) 10879.9 1.62661
\(356\) 271.104 5000.23i 0.0403610 0.744414i
\(357\) −1301.55 545.677i −0.192956 0.0808971i
\(358\) 3753.43 + 408.210i 0.554120 + 0.0602642i
\(359\) 3290.15 9764.82i 0.483698 1.43556i −0.376888 0.926259i \(-0.623006\pi\)
0.860586 0.509305i \(-0.170098\pi\)
\(360\) −3433.94 11535.8i −0.502735 1.68886i
\(361\) 1386.89 + 2045.51i 0.202200 + 0.298223i
\(362\) 1170.81 7141.60i 0.169989 1.03689i
\(363\) 16.2846 + 448.028i 0.00235460 + 0.0647806i
\(364\) −34.4891 13.7417i −0.00496627 0.00197874i
\(365\) −13134.0 + 2891.02i −1.88347 + 0.414583i
\(366\) −1061.35 587.174i −0.151578 0.0838582i
\(367\) −1079.25 + 916.725i −0.153506 + 0.130389i −0.720848 0.693093i \(-0.756247\pi\)
0.567342 + 0.823482i \(0.307972\pi\)
\(368\) 198.048 119.162i 0.0280543 0.0168797i
\(369\) 10691.6 197.787i 1.50835 0.0279035i
\(370\) 7620.07 + 1677.30i 1.07067 + 0.235673i
\(371\) 357.603 + 242.461i 0.0500427 + 0.0339298i
\(372\) 137.577 7713.45i 0.0191748 1.07506i
\(373\) −5195.06 + 9798.93i −0.721153 + 1.36024i 0.203366 + 0.979103i \(0.434812\pi\)
−0.924519 + 0.381136i \(0.875533\pi\)
\(374\) 3149.76 6808.10i 0.435482 0.941280i
\(375\) 2312.28 + 11475.9i 0.318415 + 1.58031i
\(376\) −278.425 1698.31i −0.0381879 0.232936i
\(377\) −671.989 + 636.542i −0.0918016 + 0.0869591i
\(378\) 369.807 487.143i 0.0503196 0.0662855i
\(379\) −1132.58 860.963i −0.153500 0.116688i 0.525605 0.850729i \(-0.323839\pi\)
−0.679105 + 0.734041i \(0.737632\pi\)
\(380\) 3525.30 + 4637.45i 0.475905 + 0.626042i
\(381\) −2657.13 5235.41i −0.357294 0.703985i
\(382\) −2848.91 5373.60i −0.381578 0.719732i
\(383\) −3703.08 + 200.775i −0.494044 + 0.0267863i −0.299478 0.954103i \(-0.596812\pi\)
−0.194566 + 0.980889i \(0.562330\pi\)
\(384\) 2624.72 + 2576.61i 0.348807 + 0.342414i
\(385\) 1410.16 747.620i 0.186671 0.0989668i
\(386\) −379.280 + 1366.04i −0.0500125 + 0.180129i
\(387\) 6038.15 3786.89i 0.793118 0.497412i
\(388\) −3555.37 + 4677.01i −0.465198 + 0.611957i
\(389\) 6134.13 1703.13i 0.799519 0.221985i 0.156342 0.987703i \(-0.450030\pi\)
0.643177 + 0.765718i \(0.277616\pi\)
\(390\) −45.4005 + 629.478i −0.00589473 + 0.0817304i
\(391\) 4195.04 687.741i 0.542589 0.0889529i
\(392\) 6723.18 + 4045.20i 0.866255 + 0.521208i
\(393\) −2465.58 + 782.075i −0.316468 + 0.100383i
\(394\) −6378.15 3381.48i −0.815550 0.432377i
\(395\) −1017.69 + 1074.36i −0.129634 + 0.136853i
\(396\) −3382.23 2766.85i −0.429201 0.351109i
\(397\) 2008.13 9123.02i 0.253867 1.15333i −0.661258 0.750158i \(-0.729977\pi\)
0.915125 0.403170i \(-0.132092\pi\)
\(398\) 5860.51 637.368i 0.738092 0.0802723i
\(399\) −231.216 + 778.623i −0.0290107 + 0.0976940i
\(400\) 982.508 + 1156.70i 0.122814 + 0.144587i
\(401\) −11742.3 + 3956.43i −1.46230 + 0.492705i −0.934284 0.356530i \(-0.883960\pi\)
−0.528014 + 0.849236i \(0.677063\pi\)
\(402\) 1735.92 + 1222.73i 0.215373 + 0.151702i
\(403\) −410.845 + 1031.14i −0.0507832 + 0.127456i
\(404\) −1567.75 + 1845.70i −0.193066 + 0.227295i
\(405\) 13165.4 + 4689.14i 1.61529 + 0.575322i
\(406\) −973.835 + 660.277i −0.119041 + 0.0807118i
\(407\) 7220.82 2877.04i 0.879417 0.350392i
\(408\) −5613.25 12723.5i −0.681121 1.54389i
\(409\) −434.109 + 3991.56i −0.0524824 + 0.482568i 0.938172 + 0.346170i \(0.112518\pi\)
−0.990654 + 0.136398i \(0.956448\pi\)
\(410\) −12729.9 + 5889.46i −1.53337 + 0.709414i
\(411\) 6639.35 5438.70i 0.796824 0.652728i
\(412\) 310.109i 0.0370825i
\(413\) −637.014 + 859.026i −0.0758968 + 0.102348i
\(414\) −165.273 + 1834.81i −0.0196201 + 0.217817i
\(415\) 19531.0 + 1058.94i 2.31021 + 0.125256i
\(416\) −251.234 543.034i −0.0296100 0.0640011i
\(417\) 9045.62 6625.14i 1.06227 0.778020i
\(418\) −4091.18 1378.48i −0.478723 0.161301i
\(419\) −999.348 2508.17i −0.116519 0.292440i 0.859138 0.511744i \(-0.171000\pi\)
−0.975656 + 0.219305i \(0.929621\pi\)
\(420\) 250.558 1048.84i 0.0291095 0.121853i
\(421\) 1971.56 + 323.220i 0.228237 + 0.0374175i 0.274815 0.961497i \(-0.411383\pi\)
−0.0465782 + 0.998915i \(0.514832\pi\)
\(422\) 159.132 + 135.168i 0.0183565 + 0.0155921i
\(423\) 1782.53 + 903.204i 0.204893 + 0.103819i
\(424\) 915.195 + 4157.77i 0.104825 + 0.476225i
\(425\) 8912.64 + 26451.8i 1.01724 + 3.01906i
\(426\) −685.490 + 5404.43i −0.0779627 + 0.614661i
\(427\) −153.733 255.506i −0.0174230 0.0289573i
\(428\) 6.48903 + 59.6656i 0.000732848 + 0.00673843i
\(429\) 314.479 + 544.416i 0.0353920 + 0.0612695i
\(430\) −5246.41 + 7737.88i −0.588382 + 0.867799i
\(431\) 2101.10 + 1990.26i 0.234817 + 0.222431i 0.796056 0.605224i \(-0.206916\pi\)
−0.561238 + 0.827654i \(0.689675\pi\)
\(432\) 866.296 142.612i 0.0964807 0.0158829i
\(433\) −459.379 212.531i −0.0509846 0.0235880i 0.394231 0.919011i \(-0.371011\pi\)
−0.445216 + 0.895423i \(0.646873\pi\)
\(434\) −727.408 + 1208.96i −0.0804533 + 0.133714i
\(435\) −21109.5 16649.3i −2.32672 1.83511i
\(436\) 4770.42 + 5036.07i 0.523995 + 0.553174i
\(437\) −654.517 2357.36i −0.0716471 0.258050i
\(438\) −608.557 6706.26i −0.0663881 0.731593i
\(439\) 4862.20 3696.15i 0.528611 0.401839i −0.306542 0.951857i \(-0.599172\pi\)
0.835153 + 0.550018i \(0.185379\pi\)
\(440\) 15154.1 + 4207.52i 1.64192 + 0.455877i
\(441\) −8399.75 + 3528.16i −0.907003 + 0.380970i
\(442\) 39.4780 + 728.128i 0.00424836 + 0.0783564i
\(443\) −868.272 16014.3i −0.0931215 1.71753i −0.556066 0.831138i \(-0.687690\pi\)
0.462945 0.886387i \(-0.346793\pi\)
\(444\) 1765.31 4945.95i 0.188689 0.528658i
\(445\) −20164.2 5598.57i −2.14804 0.596399i
\(446\) −3359.75 + 2554.01i −0.356701 + 0.271157i
\(447\) 10173.2 923.165i 1.07646 0.0976828i
\(448\) −235.078 846.673i −0.0247910 0.0892892i
\(449\) −536.480 566.355i −0.0563876 0.0595277i 0.697191 0.716885i \(-0.254433\pi\)
−0.753579 + 0.657357i \(0.771674\pi\)
\(450\) −12064.5 + 878.184i −1.26384 + 0.0919956i
\(451\) −7203.83 + 11972.9i −0.752140 + 1.25007i
\(452\) −1458.96 674.986i −0.151822 0.0702404i
\(453\) −4848.04 + 1253.37i −0.502827 + 0.129997i
\(454\) 1778.01 + 1684.22i 0.183802 + 0.174107i
\(455\) −87.0694 + 128.418i −0.00897115 + 0.0132315i
\(456\) −6930.33 + 4003.27i −0.711716 + 0.411119i
\(457\) −855.360 7864.90i −0.0875537 0.805043i −0.952780 0.303661i \(-0.901791\pi\)
0.865226 0.501381i \(-0.167175\pi\)
\(458\) 2804.42 + 4660.99i 0.286118 + 0.475532i
\(459\) 15772.3 + 3460.78i 1.60389 + 0.351929i
\(460\) 1037.13 + 3078.11i 0.105123 + 0.311994i
\(461\) 1046.49 + 4754.24i 0.105726 + 0.480319i 0.999495 + 0.0317901i \(0.0101208\pi\)
−0.893768 + 0.448529i \(0.851948\pi\)
\(462\) 282.521 + 747.578i 0.0284504 + 0.0752825i
\(463\) −310.856 264.044i −0.0312024 0.0265036i 0.631649 0.775254i \(-0.282378\pi\)
−0.662852 + 0.748751i \(0.730654\pi\)
\(464\) −1666.70 273.242i −0.166756 0.0273383i
\(465\) −31357.9 7491.10i −3.12728 0.747078i
\(466\) −2976.14 7469.56i −0.295852 0.742533i
\(467\) 14896.3 + 5019.15i 1.47606 + 0.497342i 0.938319 0.345770i \(-0.112382\pi\)
0.537738 + 0.843112i \(0.319279\pi\)
\(468\) 416.464 + 83.6258i 0.0411347 + 0.00825984i
\(469\) 219.180 + 473.750i 0.0215795 + 0.0466434i
\(470\) −2617.26 141.904i −0.256862 0.0139266i
\(471\) 1925.62 + 2106.87i 0.188382 + 0.206114i
\(472\) −10378.2 + 1828.61i −1.01206 + 0.178323i
\(473\) 9313.29i 0.905339i
\(474\) −469.552 573.211i −0.0455005 0.0555453i
\(475\) 14579.6 6745.22i 1.40833 0.651562i
\(476\) 134.711 1238.64i 0.0129715 0.119271i
\(477\) −4524.05 1992.30i −0.434260 0.191240i
\(478\) −255.470 + 101.789i −0.0244455 + 0.00973998i
\(479\) 1800.15 1220.53i 0.171714 0.116425i −0.472303 0.881436i \(-0.656577\pi\)
0.644017 + 0.765012i \(0.277267\pi\)
\(480\) 14556.2 9494.88i 1.38416 0.902875i
\(481\) −489.155 + 575.878i −0.0463692 + 0.0545900i
\(482\) −75.0842 + 188.447i −0.00709542 + 0.0178082i
\(483\) −260.803 + 370.264i −0.0245693 + 0.0348811i
\(484\) −375.076 + 126.378i −0.0352250 + 0.0118687i
\(485\) 15894.6 + 18712.5i 1.48811 + 1.75194i
\(486\) −3158.74 + 6244.24i −0.294822 + 0.582808i
\(487\) −15104.7 + 1642.74i −1.40546 + 0.152853i −0.779208 0.626766i \(-0.784378\pi\)
−0.626254 + 0.779619i \(0.715413\pi\)
\(488\) 631.643 2869.58i 0.0585924 0.266188i
\(489\) −113.320 777.870i −0.0104796 0.0719356i
\(490\) 8218.10 8675.74i 0.757665 0.799857i
\(491\) 4172.08 + 2211.90i 0.383470 + 0.203303i 0.648980 0.760805i \(-0.275196\pi\)
−0.265511 + 0.964108i \(0.585541\pi\)
\(492\) 2854.34 + 8998.64i 0.261552 + 0.824574i
\(493\) −26617.0 16014.9i −2.43158 1.46303i
\(494\) 414.135 67.8940i 0.0377183 0.00618360i
\(495\) −14331.1 + 11318.5i −1.30128 + 1.02773i
\(496\) −1951.54 + 541.843i −0.176667 + 0.0490513i
\(497\) −810.489 + 1066.18i −0.0731497 + 0.0962267i
\(498\) −1756.56 + 9634.97i −0.158059 + 0.866975i
\(499\) −3758.76 + 13537.8i −0.337205 + 1.21450i 0.579511 + 0.814964i \(0.303244\pi\)
−0.916716 + 0.399539i \(0.869170\pi\)
\(500\) −9131.02 + 4840.96i −0.816703 + 0.432989i
\(501\) −6670.42 + 6794.96i −0.594836 + 0.605941i
\(502\) 14048.4 761.680i 1.24902 0.0677200i
\(503\) 10214.4 + 19266.5i 0.905446 + 1.70785i 0.679448 + 0.733724i \(0.262219\pi\)
0.225998 + 0.974128i \(0.427436\pi\)
\(504\) 1386.26 + 522.838i 0.122518 + 0.0462085i
\(505\) 6124.56 + 8056.72i 0.539682 + 0.709939i
\(506\) −1916.38 1456.80i −0.168367 0.127989i
\(507\) 9623.53 + 6026.60i 0.842990 + 0.527911i
\(508\) 3762.97 3564.48i 0.328651 0.311315i
\(509\) 36.7691 + 224.281i 0.00320189 + 0.0195307i 0.988379 0.152009i \(-0.0485742\pi\)
−0.985177 + 0.171539i \(0.945126\pi\)
\(510\) −20762.9 + 4183.51i −1.80274 + 0.363233i
\(511\) 695.099 1502.43i 0.0601749 0.130066i
\(512\) 1056.68 1993.11i 0.0912093 0.172039i
\(513\) 998.637 9239.31i 0.0859472 0.795176i
\(514\) 8198.44 + 5558.68i 0.703536 + 0.477009i
\(515\) −1265.67 278.595i −0.108295 0.0238376i
\(516\) 4722.34 + 4158.42i 0.402886 + 0.354775i
\(517\) −2237.38 + 1346.19i −0.190329 + 0.114517i
\(518\) −732.016 + 621.780i −0.0620906 + 0.0527403i
\(519\) 6038.06 10914.1i 0.510677 0.923077i
\(520\) −1493.08 + 328.653i −0.125916 + 0.0277161i
\(521\) −14484.6 5771.20i −1.21801 0.485299i −0.329498 0.944156i \(-0.606880\pi\)
−0.888510 + 0.458857i \(0.848259\pi\)
\(522\) 9600.27 9436.83i 0.804967 0.791262i
\(523\) 1558.72 9507.76i 0.130321 0.794924i −0.838084 0.545542i \(-0.816324\pi\)
0.968405 0.249383i \(-0.0802277\pi\)
\(524\) −1281.51 1890.08i −0.106838 0.157574i
\(525\) −2676.23 1296.59i −0.222476 0.107786i
\(526\) 2682.34 7960.90i 0.222349 0.659909i
\(527\) −37032.5 4027.53i −3.06103 0.332907i
\(528\) −443.566 + 1057.99i −0.0365601 + 0.0872032i
\(529\) −584.853 + 10787.0i −0.0480688 + 0.886577i
\(530\) 6483.97 0.531407
\(531\) 5400.14 10980.0i 0.441330 0.897345i
\(532\) −717.060 −0.0584370
\(533\) 73.5361 1356.29i 0.00597599 0.110221i
\(534\) 4051.45 9663.52i 0.328321 0.783112i
\(535\) 249.347 + 27.1182i 0.0201500 + 0.00219144i
\(536\) −1642.36 + 4874.35i −0.132349 + 0.392798i
\(537\) −9557.21 4630.31i −0.768015 0.372090i
\(538\) 3578.65 + 5278.11i 0.286778 + 0.422965i
\(539\) 1925.98 11747.9i 0.153910 0.938812i
\(540\) −659.796 + 12320.3i −0.0525798 + 0.981821i
\(541\) −10539.5 4199.34i −0.837579 0.333722i −0.0883964 0.996085i \(-0.528174\pi\)
−0.749183 + 0.662363i \(0.769554\pi\)
\(542\) 4453.99 980.397i 0.352980 0.0776968i
\(543\) −9854.05 + 17811.7i −0.778780 + 1.40769i
\(544\) 15304.3 12999.6i 1.20619 1.02455i
\(545\) 24839.7 14945.6i 1.95232 1.17467i
\(546\) −58.3037 51.3413i −0.00456990 0.00402418i
\(547\) 5133.96 + 1130.07i 0.401302 + 0.0883332i 0.411035 0.911619i \(-0.365167\pi\)
−0.00973351 + 0.999953i \(0.503098\pi\)
\(548\) 6271.36 + 4252.09i 0.488867 + 0.331460i
\(549\) 2256.43 + 2559.00i 0.175414 + 0.198935i
\(550\) 7403.78 13965.0i 0.573997 1.08267i
\(551\) −7506.56 + 16225.2i −0.580382 + 1.25447i
\(552\) −4374.78 + 881.473i −0.337324 + 0.0679674i
\(553\) −29.4705 179.762i −0.00226621 0.0138232i
\(554\) 10634.3 10073.4i 0.815540 0.772520i
\(555\) −18600.3 11648.2i −1.42260 0.890881i
\(556\) 7880.18 + 5990.36i 0.601068 + 0.456920i
\(557\) 779.433 + 1025.33i 0.0592920 + 0.0779973i 0.824783 0.565449i \(-0.191297\pi\)
−0.765491 + 0.643446i \(0.777504\pi\)
\(558\) 5696.79 15104.5i 0.432194 1.14593i
\(559\) −424.062 799.866i −0.0320857 0.0605201i
\(560\) −282.690 + 15.3270i −0.0213318 + 0.00115658i
\(561\) −14781.2 + 15057.1i −1.11241 + 1.13318i
\(562\) −3460.05 + 1834.40i −0.259703 + 0.137686i
\(563\) −5272.46 + 18989.7i −0.394685 + 1.42153i 0.453230 + 0.891394i \(0.350272\pi\)
−0.847915 + 0.530133i \(0.822142\pi\)
\(564\) −316.410 + 1735.55i −0.0236228 + 0.129574i
\(565\) −4065.56 + 5348.16i −0.302725 + 0.398228i
\(566\) 5414.15 1503.23i 0.402074 0.111635i
\(567\) −1440.25 + 940.828i −0.106675 + 0.0696844i
\(568\) −13022.9 + 2135.00i −0.962023 + 0.157716i
\(569\) 9779.37 + 5884.05i 0.720514 + 0.433519i 0.828030 0.560684i \(-0.189462\pi\)
−0.107515 + 0.994203i \(0.534289\pi\)
\(570\) 3685.50 + 11619.0i 0.270822 + 0.853799i
\(571\) 12979.5 + 6881.31i 0.951273 + 0.504333i 0.870375 0.492390i \(-0.163876\pi\)
0.0808977 + 0.996722i \(0.474221\pi\)
\(572\) −381.708 + 402.965i −0.0279021 + 0.0294559i
\(573\) 2466.19 + 16928.8i 0.179802 + 1.23423i
\(574\) 371.159 1686.19i 0.0269893 0.122614i
\(575\) 8904.86 968.462i 0.645841 0.0702394i
\(576\) 4389.48 + 9044.83i 0.317526 + 0.654285i
\(577\) 2225.94 + 2620.57i 0.160601 + 0.189074i 0.836577 0.547850i \(-0.184553\pi\)
−0.675976 + 0.736924i \(0.736278\pi\)
\(578\) −14590.0 + 4915.93i −1.04994 + 0.353764i
\(579\) 2296.36 3260.16i 0.164825 0.234003i
\(580\) 8785.24 22049.3i 0.628943 1.57853i
\(581\) −1558.71 + 1835.05i −0.111301 + 0.131034i
\(582\) −10296.6 + 6716.39i −0.733346 + 0.478356i
\(583\) 5346.34 3624.91i 0.379799 0.257510i
\(584\) 15153.7 6037.77i 1.07374 0.427816i
\(585\) 715.450 1624.62i 0.0505645 0.114820i
\(586\) −185.515 + 1705.79i −0.0130778 + 0.120248i
\(587\) −13480.7 + 6236.83i −0.947883 + 0.438538i −0.832031 0.554729i \(-0.812822\pi\)
−0.115852 + 0.993266i \(0.536960\pi\)
\(588\) −5096.88 6222.07i −0.357469 0.436384i
\(589\) 21438.4i 1.49975i
\(590\) −677.962 + 16035.3i −0.0473072 + 1.11892i
\(591\) 13699.1 + 14988.5i 0.953476 + 1.04322i
\(592\) −1376.69 74.6418i −0.0955768 0.00518203i
\(593\) −9465.43 20459.2i −0.655478 1.41679i −0.895073 0.445920i \(-0.852877\pi\)
0.239595 0.970873i \(-0.422985\pi\)
\(594\) −4719.34 7831.85i −0.325988 0.540984i
\(595\) −4934.34 1662.57i −0.339981 0.114553i
\(596\) 3337.96 + 8377.64i 0.229410 + 0.575774i
\(597\) −16127.7 3852.74i −1.10563 0.264124i
\(598\) 230.920 + 37.8574i 0.0157910 + 0.00258880i
\(599\) 760.311 + 645.814i 0.0518622 + 0.0440522i 0.672943 0.739695i \(-0.265030\pi\)
−0.621080 + 0.783747i \(0.713306\pi\)
\(600\) −10358.9 27410.7i −0.704834 1.86506i
\(601\) −5282.80 24000.0i −0.358552 1.62892i −0.718204 0.695833i \(-0.755036\pi\)
0.359652 0.933087i \(-0.382895\pi\)
\(602\) −367.448 1090.55i −0.0248772 0.0738329i
\(603\) −3442.50 4880.46i −0.232487 0.329598i
\(604\) −2279.12 3787.92i −0.153536 0.255179i
\(605\) 178.835 + 1644.36i 0.0120176 + 0.110500i
\(606\) −4387.93 + 2534.66i −0.294137 + 0.169907i
\(607\) −8897.84 + 13123.3i −0.594979 + 0.877528i −0.999312 0.0370838i \(-0.988193\pi\)
0.404334 + 0.914612i \(0.367503\pi\)
\(608\) −8389.90 7947.34i −0.559631 0.530110i
\(609\) 3204.08 828.358i 0.213195 0.0551178i
\(610\) −4061.46 1879.03i −0.269580 0.124721i
\(611\) 130.860 217.492i 0.00866456 0.0144006i
\(612\) 1034.93 + 14217.9i 0.0683573 + 0.939093i
\(613\) −19522.1 20609.3i −1.28628 1.35791i −0.900218 0.435440i \(-0.856593\pi\)
−0.386065 0.922472i \(-0.626166\pi\)
\(614\) −514.128 1851.72i −0.0337924 0.121709i
\(615\) 39291.1 3565.45i 2.57621 0.233777i
\(616\) −1541.21 + 1171.59i −0.100807 + 0.0766313i
\(617\) 20164.6 + 5598.67i 1.31572 + 0.365307i 0.853329 0.521372i \(-0.174580\pi\)
0.462386 + 0.886679i \(0.346993\pi\)
\(618\) 218.131 611.149i 0.0141983 0.0397800i
\(619\) 1246.35 + 22987.6i 0.0809292 + 1.49265i 0.703840 + 0.710358i \(0.251467\pi\)
−0.622911 + 0.782293i \(0.714050\pi\)
\(620\) −1540.94 28420.9i −0.0998154 1.84099i
\(621\) 2172.66 4704.32i 0.140396 0.303990i
\(622\) 3684.23 + 1022.92i 0.237499 + 0.0659412i
\(623\) 2050.75 1558.94i 0.131880 0.100253i
\(624\) −10.0783 111.062i −0.000646561 0.00712507i
\(625\) 3444.57 + 12406.2i 0.220453 + 0.793999i
\(626\) −10049.0 10608.6i −0.641598 0.677326i
\(627\) 9534.54 + 7519.99i 0.607293 + 0.478978i
\(628\) −1299.12 + 2159.15i −0.0825484 + 0.137197i
\(629\) −23013.8 10647.3i −1.45886 0.674938i
\(630\) 1231.55 1890.77i 0.0778825 0.119571i
\(631\) −5291.33 5012.22i −0.333827 0.316218i 0.502364 0.864656i \(-0.332464\pi\)
−0.836191 + 0.548439i \(0.815222\pi\)
\(632\) 1007.32 1485.68i 0.0634001 0.0935081i
\(633\) −293.752 508.534i −0.0184449 0.0319311i
\(634\) −356.754 3280.30i −0.0223478 0.205485i
\(635\) −11167.4 18560.4i −0.697897 1.15991i
\(636\) 549.137 4329.42i 0.0342370 0.269925i
\(637\) 369.508 + 1096.66i 0.0229834 + 0.0682124i
\(638\) 3781.40 + 17179.1i 0.234651 + 1.06603i
\(639\) 6925.89 13668.7i 0.428770 0.846205i
\(640\) 10342.4 + 8784.95i 0.638782 + 0.542587i
\(641\) 7176.42 + 1176.51i 0.442202 + 0.0724954i 0.378770 0.925491i \(-0.376347\pi\)
0.0634322 + 0.997986i \(0.479795\pi\)
\(642\) −29.1807 + 122.151i −0.00179388 + 0.00750920i
\(643\) −9878.56 24793.3i −0.605867 1.52061i −0.836725 0.547624i \(-0.815533\pi\)
0.230858 0.972987i \(-0.425847\pi\)
\(644\) −378.899 127.666i −0.0231844 0.00781172i
\(645\) 21214.5 15537.8i 1.29507 0.948527i
\(646\) 5913.69 + 12782.2i 0.360172 + 0.778498i
\(647\) −7775.47 421.574i −0.472466 0.0256163i −0.183631 0.982995i \(-0.558785\pi\)
−0.288835 + 0.957379i \(0.593268\pi\)
\(648\) −16678.6 3029.27i −1.01111 0.183644i
\(649\) 8405.65 + 13600.9i 0.508398 + 0.822623i
\(650\) 1536.49i 0.0927173i
\(651\) 3070.06 2514.88i 0.184831 0.151407i
\(652\) 629.836 291.393i 0.0378317 0.0175028i
\(653\) −2600.00 + 23906.6i −0.155813 + 1.43267i 0.611420 + 0.791306i \(0.290598\pi\)
−0.767233 + 0.641368i \(0.778367\pi\)
\(654\) 5858.94 + 13280.4i 0.350310 + 0.794043i
\(655\) −8865.42 + 3532.31i −0.528856 + 0.210715i
\(656\) 2051.39 1390.88i 0.122093 0.0827813i
\(657\) −4728.74 + 18340.9i −0.280800 + 1.08911i
\(658\) 208.876 245.907i 0.0123751 0.0145691i
\(659\) 4728.77 11868.3i 0.279525 0.701554i −0.720443 0.693514i \(-0.756061\pi\)
0.999968 0.00804002i \(-0.00255925\pi\)
\(660\) −13180.5 9283.94i −0.777347 0.547541i
\(661\) −4200.43 + 1415.29i −0.247168 + 0.0832805i −0.440159 0.897920i \(-0.645078\pi\)
0.192991 + 0.981201i \(0.438181\pi\)
\(662\) −2627.44 3093.26i −0.154257 0.181606i
\(663\) 583.875 1966.20i 0.0342018 0.115175i
\(664\) −23585.7 + 2565.10i −1.37847 + 0.149917i
\(665\) −644.191 + 2926.59i −0.0375649 + 0.170659i
\(666\) 6957.98 8505.53i 0.404829 0.494868i
\(667\) −6855.26 + 7237.01i −0.397956 + 0.420117i
\(668\) −7426.98 3937.54i −0.430178 0.228066i
\(669\) 11315.1 3589.12i 0.653913 0.207419i
\(670\) 6712.46 + 4038.76i 0.387052 + 0.232882i
\(671\) −4399.35 + 721.237i −0.253107 + 0.0414948i
\(672\) −153.894 + 2133.74i −0.00883424 + 0.122487i
\(673\) 12641.6 3509.92i 0.724068 0.201037i 0.114108 0.993468i \(-0.463599\pi\)
0.609961 + 0.792432i \(0.291185\pi\)
\(674\) 12655.6 16648.2i 0.723258 0.951429i
\(675\) 32790.3 + 9080.76i 1.86978 + 0.517806i
\(676\) −2681.81 + 9659.00i −0.152584 + 0.549556i
\(677\) −5189.84 + 2751.48i −0.294626 + 0.156201i −0.609165 0.793044i \(-0.708495\pi\)
0.314538 + 0.949245i \(0.398150\pi\)
\(678\) −2400.46 2356.47i −0.135972 0.133480i
\(679\) −3017.79 + 163.620i −0.170563 + 0.00924763i
\(680\) −24032.9 45330.8i −1.35532 2.55641i
\(681\) −3117.66 6142.79i −0.175432 0.345657i
\(682\) 12765.6 + 16792.8i 0.716743 + 0.942860i
\(683\) 2776.26 + 2110.45i 0.155535 + 0.118235i 0.680047 0.733168i \(-0.261959\pi\)
−0.524512 + 0.851403i \(0.675752\pi\)
\(684\) 8070.24 1476.82i 0.451131 0.0825551i
\(685\) 22988.4 21775.8i 1.28225 1.21461i
\(686\) 479.891 + 2927.20i 0.0267089 + 0.162917i
\(687\) −3022.14 14999.0i −0.167834 0.832966i
\(688\) 693.632 1499.26i 0.0384367 0.0830796i
\(689\) −294.114 + 554.759i −0.0162625 + 0.0306743i
\(690\) −121.208 + 6795.72i −0.00668742 + 0.374940i
\(691\) 5384.83 + 3651.01i 0.296453 + 0.201000i 0.700341 0.713808i \(-0.253031\pi\)
−0.403888 + 0.914808i \(0.632342\pi\)
\(692\) 10754.1 + 2367.16i 0.590767 + 0.130038i
\(693\) −41.5778 2247.53i −0.00227909 0.123199i
\(694\) 11094.4 6675.29i 0.606828 0.365116i
\(695\) 31528.3 26780.3i 1.72077 1.46164i
\(696\) 28534.5 + 15786.3i 1.55402 + 0.859737i
\(697\) 44518.4 9799.23i 2.41930 0.532529i
\(698\) 1839.03 + 732.738i 0.0997255 + 0.0397343i
\(699\) 821.504 + 22601.5i 0.0444523 + 1.22299i
\(700\) 424.732 2590.75i 0.0229334 0.139888i
\(701\) 17308.1 + 25527.5i 0.932550 + 1.37541i 0.926853 + 0.375425i \(0.122503\pi\)
0.00569709 + 0.999984i \(0.498187\pi\)
\(702\) 761.925 + 457.747i 0.0409644 + 0.0246105i
\(703\) −4659.75 + 13829.6i −0.249994 + 0.741956i
\(704\) −13060.0 1420.36i −0.699173 0.0760397i
\(705\) 6799.18 + 2850.57i 0.363223 + 0.152282i
\(706\) 474.127 8744.77i 0.0252748 0.466167i
\(707\) −1245.76 −0.0662683
\(708\) 10649.5 + 1810.74i 0.565302 + 0.0961181i
\(709\) −12807.8 −0.678429 −0.339215 0.940709i \(-0.610161\pi\)
−0.339215 + 0.940709i \(0.610161\pi\)
\(710\) −1088.14 + 20069.5i −0.0575169 + 1.06084i
\(711\) 701.908 + 1962.46i 0.0370234 + 0.103513i
\(712\) 25234.5 + 2744.42i 1.32824 + 0.144454i
\(713\) −3816.91 + 11328.2i −0.200483 + 0.595013i
\(714\) 1136.75 2346.31i 0.0595821 0.122981i
\(715\) 1301.73 + 1919.91i 0.0680866 + 0.100420i
\(716\) 1516.78 9251.97i 0.0791688 0.482908i
\(717\) 773.007 28.0967i 0.0402629 0.00146345i
\(718\) 17683.5 + 7045.73i 0.919138 + 0.366218i
\(719\) −4308.85 + 948.449i −0.223495 + 0.0491950i −0.325306 0.945609i \(-0.605467\pi\)
0.101811 + 0.994804i \(0.467536\pi\)
\(720\) 3150.00 754.713i 0.163046 0.0390646i
\(721\) 121.586 103.276i 0.00628029 0.00533453i
\(722\) −3911.92 + 2353.72i −0.201644 + 0.121325i
\(723\) 377.084 428.220i 0.0193968 0.0220272i
\(724\) −17550.6 3863.18i −0.900916 0.198307i
\(725\) −54175.5 36731.9i −2.77521 1.88164i
\(726\) −828.076 14.7696i −0.0423317 0.000755027i
\(727\) 297.260 560.693i 0.0151648 0.0286038i −0.875814 0.482649i \(-0.839675\pi\)
0.890979 + 0.454045i \(0.150020\pi\)
\(728\) 79.0194 170.798i 0.00402287 0.00869530i
\(729\) 14271.8 13554.9i 0.725083 0.688662i
\(730\) −4019.29 24516.6i −0.203782 1.24301i
\(731\) 22057.7 20894.2i 1.11605 1.05718i
\(732\) −1598.62 + 2552.74i −0.0807195 + 0.128896i
\(733\) 7150.62 + 5435.76i 0.360320 + 0.273908i 0.769634 0.638486i \(-0.220439\pi\)
−0.409314 + 0.912394i \(0.634232\pi\)
\(734\) −1583.08 2082.51i −0.0796085 0.104723i
\(735\) −29973.5 + 15212.5i −1.50420 + 0.763431i
\(736\) −3018.33 5693.17i −0.151164 0.285126i
\(737\) 7792.64 422.505i 0.389478 0.0211169i
\(738\) −704.455 + 19741.9i −0.0351374 + 0.984700i
\(739\) 22615.9 11990.2i 1.12576 0.596842i 0.201839 0.979419i \(-0.435308\pi\)
0.923924 + 0.382577i \(0.124963\pi\)
\(740\) 5183.40 18668.9i 0.257494 0.927409i
\(741\) −1161.28 211.713i −0.0575716 0.0104959i
\(742\) −483.017 + 635.398i −0.0238977 + 0.0314369i
\(743\) 3837.87 1065.58i 0.189499 0.0526142i −0.171482 0.985187i \(-0.554856\pi\)
0.360981 + 0.932573i \(0.382442\pi\)
\(744\) 39004.3 + 2813.15i 1.92200 + 0.138623i
\(745\) 37191.0 6097.16i 1.82896 0.299843i
\(746\) −17555.9 10563.0i −0.861616 0.518417i
\(747\) 13763.3 23863.1i 0.674126 1.16881i
\(748\) −16457.6 8725.29i −0.804480 0.426508i
\(749\) −21.2323 + 22.4147i −0.00103580 + 0.00109348i
\(750\) −21400.1 + 3117.57i −1.04190 + 0.151783i
\(751\) −5890.37 + 26760.2i −0.286209 + 1.30026i 0.585675 + 0.810546i \(0.300829\pi\)
−0.871884 + 0.489713i \(0.837102\pi\)
\(752\) 460.437 50.0755i 0.0223277 0.00242828i
\(753\) −37935.6 11265.2i −1.83592 0.545186i
\(754\) −1106.98 1303.24i −0.0534666 0.0629457i
\(755\) −17507.4 + 5898.94i −0.843922 + 0.284350i
\(756\) −1158.18 982.448i −0.0557179 0.0472636i
\(757\) −7986.60 + 20044.9i −0.383458 + 0.962408i 0.602903 + 0.797815i \(0.294011\pi\)
−0.986361 + 0.164594i \(0.947369\pi\)
\(758\) 1701.43 2003.08i 0.0815288 0.0959832i
\(759\) 3699.25 + 5671.15i 0.176909 + 0.271212i
\(760\) −24440.2 + 16570.8i −1.16650 + 0.790905i
\(761\) −5489.25 + 2187.12i −0.261479 + 0.104183i −0.497194 0.867640i \(-0.665636\pi\)
0.235715 + 0.971822i \(0.424257\pi\)
\(762\) 9923.16 4377.83i 0.471756 0.208126i
\(763\) −385.817 + 3547.52i −0.0183060 + 0.168321i
\(764\) −13707.2 + 6341.61i −0.649094 + 0.300303i
\(765\) 58958.3 + 8549.11i 2.78646 + 0.404044i
\(766\) 6850.91i 0.323151i
\(767\) −1341.20 785.371i −0.0631396 0.0369727i
\(768\) −16440.9 + 15026.5i −0.772473 + 0.706019i
\(769\) −28133.0 1525.33i −1.31925 0.0715276i −0.618980 0.785407i \(-0.712454\pi\)
−0.700269 + 0.713879i \(0.746937\pi\)
\(770\) 1238.05 + 2676.00i 0.0579431 + 0.125242i
\(771\) −16462.6 22477.2i −0.768983 1.04993i
\(772\) 3336.19 + 1124.09i 0.155534 + 0.0524055i
\(773\) 8164.98 + 20492.5i 0.379914 +