Properties

Label 63.4.h.a.25.6
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.6
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.6

$q$-expansion

\(f(q)\) \(=\) \(q-2.93457 q^{2} +(-3.89946 - 3.43427i) q^{3} +0.611720 q^{4} +(1.84855 - 3.20179i) q^{5} +(11.4432 + 10.0781i) q^{6} +(-18.1273 - 3.79476i) q^{7} +21.6814 q^{8} +(3.41152 + 26.7836i) q^{9} +O(q^{10})\) \(q-2.93457 q^{2} +(-3.89946 - 3.43427i) q^{3} +0.611720 q^{4} +(1.84855 - 3.20179i) q^{5} +(11.4432 + 10.0781i) q^{6} +(-18.1273 - 3.79476i) q^{7} +21.6814 q^{8} +(3.41152 + 26.7836i) q^{9} +(-5.42471 + 9.39588i) q^{10} +(32.8537 + 56.9043i) q^{11} +(-2.38537 - 2.10081i) q^{12} +(2.73952 + 4.74498i) q^{13} +(53.1960 + 11.1360i) q^{14} +(-18.2042 + 6.13679i) q^{15} -68.5196 q^{16} +(-25.1343 + 43.5340i) q^{17} +(-10.0113 - 78.5985i) q^{18} +(0.769884 + 1.33348i) q^{19} +(1.13080 - 1.95860i) q^{20} +(57.6545 + 77.0517i) q^{21} +(-96.4115 - 166.990i) q^{22} +(60.0078 - 103.936i) q^{23} +(-84.5459 - 74.4600i) q^{24} +(55.6657 + 96.4158i) q^{25} +(-8.03931 - 13.9245i) q^{26} +(78.6792 - 116.158i) q^{27} +(-11.0888 - 2.32133i) q^{28} +(-39.2967 + 68.0640i) q^{29} +(53.4215 - 18.0089i) q^{30} -303.332 q^{31} +27.6241 q^{32} +(67.3133 - 334.724i) q^{33} +(73.7586 - 127.754i) q^{34} +(-45.6593 + 51.0250i) q^{35} +(2.08689 + 16.3841i) q^{36} +(96.6335 + 167.374i) q^{37} +(-2.25928 - 3.91319i) q^{38} +(5.61294 - 27.9111i) q^{39} +(40.0793 - 69.4194i) q^{40} +(196.671 + 340.645i) q^{41} +(-169.191 - 226.114i) q^{42} +(-138.067 + 239.139i) q^{43} +(20.0972 + 34.8095i) q^{44} +(92.0618 + 38.5880i) q^{45} +(-176.097 + 305.009i) q^{46} -252.760 q^{47} +(267.189 + 235.315i) q^{48} +(314.200 + 137.578i) q^{49} +(-163.355 - 282.939i) q^{50} +(247.518 - 83.4405i) q^{51} +(1.67582 + 2.90260i) q^{52} +(-204.244 + 353.761i) q^{53} +(-230.890 + 340.873i) q^{54} +242.927 q^{55} +(-393.027 - 82.2758i) q^{56} +(1.57740 - 7.84383i) q^{57} +(115.319 - 199.739i) q^{58} +262.830 q^{59} +(-11.1359 + 3.75400i) q^{60} -112.254 q^{61} +890.149 q^{62} +(39.7955 - 498.461i) q^{63} +467.092 q^{64} +20.2566 q^{65} +(-197.536 + 982.273i) q^{66} -98.2686 q^{67} +(-15.3752 + 26.6306i) q^{68} +(-590.944 + 199.213i) q^{69} +(133.991 - 149.737i) q^{70} -255.003 q^{71} +(73.9667 + 580.707i) q^{72} +(344.146 - 596.078i) q^{73} +(-283.578 - 491.172i) q^{74} +(114.052 - 567.141i) q^{75} +(0.470953 + 0.815715i) q^{76} +(-379.612 - 1156.19i) q^{77} +(-16.4716 + 81.9071i) q^{78} -1084.44 q^{79} +(-126.662 + 219.385i) q^{80} +(-705.723 + 182.746i) q^{81} +(-577.146 - 999.647i) q^{82} +(152.083 - 263.415i) q^{83} +(35.2684 + 47.1340i) q^{84} +(92.9243 + 160.950i) q^{85} +(405.167 - 701.771i) q^{86} +(386.986 - 130.457i) q^{87} +(712.315 + 1233.77i) q^{88} +(550.553 + 953.585i) q^{89} +(-270.162 - 113.239i) q^{90} +(-31.6540 - 96.4096i) q^{91} +(36.7079 - 63.5800i) q^{92} +(1182.83 + 1041.72i) q^{93} +741.742 q^{94} +5.69269 q^{95} +(-107.719 - 94.8686i) q^{96} +(493.784 - 855.260i) q^{97} +(-922.042 - 403.731i) q^{98} +(-1412.02 + 1074.07i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.93457 −1.03753 −0.518764 0.854917i \(-0.673608\pi\)
−0.518764 + 0.854917i \(0.673608\pi\)
\(3\) −3.89946 3.43427i −0.750451 0.660926i
\(4\) 0.611720 0.0764650
\(5\) 1.84855 3.20179i 0.165340 0.286377i −0.771436 0.636307i \(-0.780461\pi\)
0.936776 + 0.349930i \(0.113795\pi\)
\(6\) 11.4432 + 10.0781i 0.778614 + 0.685730i
\(7\) −18.1273 3.79476i −0.978783 0.204898i
\(8\) 21.6814 0.958194
\(9\) 3.41152 + 26.7836i 0.126353 + 0.991985i
\(10\) −5.42471 + 9.39588i −0.171545 + 0.297124i
\(11\) 32.8537 + 56.9043i 0.900524 + 1.55975i 0.826816 + 0.562473i \(0.190150\pi\)
0.0737076 + 0.997280i \(0.476517\pi\)
\(12\) −2.38537 2.10081i −0.0573832 0.0505377i
\(13\) 2.73952 + 4.74498i 0.0584465 + 0.101232i 0.893768 0.448529i \(-0.148052\pi\)
−0.835322 + 0.549761i \(0.814719\pi\)
\(14\) 53.1960 + 11.1360i 1.01552 + 0.212587i
\(15\) −18.2042 + 6.13679i −0.313353 + 0.105634i
\(16\) −68.5196 −1.07062
\(17\) −25.1343 + 43.5340i −0.358587 + 0.621090i −0.987725 0.156203i \(-0.950075\pi\)
0.629138 + 0.777293i \(0.283408\pi\)
\(18\) −10.0113 78.5985i −0.131094 1.02921i
\(19\) 0.769884 + 1.33348i 0.00929597 + 0.0161011i 0.870636 0.491928i \(-0.163708\pi\)
−0.861340 + 0.508029i \(0.830374\pi\)
\(20\) 1.13080 1.95860i 0.0126427 0.0218978i
\(21\) 57.6545 + 77.0517i 0.599107 + 0.800669i
\(22\) −96.4115 166.990i −0.934319 1.61829i
\(23\) 60.0078 103.936i 0.544021 0.942272i −0.454647 0.890672i \(-0.650235\pi\)
0.998668 0.0516002i \(-0.0164322\pi\)
\(24\) −84.5459 74.4600i −0.719077 0.633296i
\(25\) 55.6657 + 96.4158i 0.445326 + 0.771327i
\(26\) −8.03931 13.9245i −0.0606399 0.105031i
\(27\) 78.6792 116.158i 0.560808 0.827946i
\(28\) −11.0888 2.32133i −0.0748426 0.0156675i
\(29\) −39.2967 + 68.0640i −0.251628 + 0.435833i −0.963974 0.265995i \(-0.914299\pi\)
0.712346 + 0.701829i \(0.247633\pi\)
\(30\) 53.4215 18.0089i 0.325113 0.109598i
\(31\) −303.332 −1.75742 −0.878709 0.477358i \(-0.841595\pi\)
−0.878709 + 0.477358i \(0.841595\pi\)
\(32\) 27.6241 0.152603
\(33\) 67.3133 334.724i 0.355083 1.76570i
\(34\) 73.7586 127.754i 0.372044 0.644399i
\(35\) −45.6593 + 51.0250i −0.220510 + 0.246423i
\(36\) 2.08689 + 16.3841i 0.00966154 + 0.0758521i
\(37\) 96.6335 + 167.374i 0.429363 + 0.743679i 0.996817 0.0797263i \(-0.0254046\pi\)
−0.567453 + 0.823406i \(0.692071\pi\)
\(38\) −2.25928 3.91319i −0.00964484 0.0167053i
\(39\) 5.61294 27.9111i 0.0230459 0.114599i
\(40\) 40.0793 69.4194i 0.158427 0.274404i
\(41\) 196.671 + 340.645i 0.749144 + 1.29756i 0.948233 + 0.317574i \(0.102868\pi\)
−0.199090 + 0.979981i \(0.563798\pi\)
\(42\) −169.191 226.114i −0.621590 0.830717i
\(43\) −138.067 + 239.139i −0.489651 + 0.848101i −0.999929 0.0119087i \(-0.996209\pi\)
0.510278 + 0.860010i \(0.329543\pi\)
\(44\) 20.0972 + 34.8095i 0.0688585 + 0.119266i
\(45\) 92.0618 + 38.5880i 0.304973 + 0.127830i
\(46\) −176.097 + 305.009i −0.564437 + 0.977634i
\(47\) −252.760 −0.784443 −0.392221 0.919871i \(-0.628293\pi\)
−0.392221 + 0.919871i \(0.628293\pi\)
\(48\) 267.189 + 235.315i 0.803446 + 0.707600i
\(49\) 314.200 + 137.578i 0.916034 + 0.401101i
\(50\) −163.355 282.939i −0.462038 0.800273i
\(51\) 247.518 83.4405i 0.679597 0.229098i
\(52\) 1.67582 + 2.90260i 0.00446911 + 0.00774073i
\(53\) −204.244 + 353.761i −0.529341 + 0.916845i 0.470074 + 0.882627i \(0.344227\pi\)
−0.999414 + 0.0342180i \(0.989106\pi\)
\(54\) −230.890 + 340.873i −0.581854 + 0.859017i
\(55\) 242.927 0.595569
\(56\) −393.027 82.2758i −0.937864 0.196332i
\(57\) 1.57740 7.84383i 0.00366547 0.0182270i
\(58\) 115.319 199.739i 0.261072 0.452189i
\(59\) 262.830 0.579959 0.289980 0.957033i \(-0.406351\pi\)
0.289980 + 0.957033i \(0.406351\pi\)
\(60\) −11.1359 + 3.75400i −0.0239605 + 0.00807732i
\(61\) −112.254 −0.235617 −0.117809 0.993036i \(-0.537587\pi\)
−0.117809 + 0.993036i \(0.537587\pi\)
\(62\) 890.149 1.82337
\(63\) 39.7955 498.461i 0.0795836 0.996828i
\(64\) 467.092 0.912288
\(65\) 20.2566 0.0386541
\(66\) −197.536 + 982.273i −0.368409 + 1.83196i
\(67\) −98.2686 −0.179185 −0.0895926 0.995978i \(-0.528557\pi\)
−0.0895926 + 0.995978i \(0.528557\pi\)
\(68\) −15.3752 + 26.6306i −0.0274193 + 0.0474916i
\(69\) −590.944 + 199.213i −1.03103 + 0.347571i
\(70\) 133.991 149.737i 0.228785 0.255671i
\(71\) −255.003 −0.426243 −0.213122 0.977026i \(-0.568363\pi\)
−0.213122 + 0.977026i \(0.568363\pi\)
\(72\) 73.9667 + 580.707i 0.121070 + 0.950514i
\(73\) 344.146 596.078i 0.551770 0.955694i −0.446377 0.894845i \(-0.647286\pi\)
0.998147 0.0608488i \(-0.0193808\pi\)
\(74\) −283.578 491.172i −0.445477 0.771588i
\(75\) 114.052 567.141i 0.175595 0.873170i
\(76\) 0.470953 + 0.815715i 0.000710816 + 0.00123117i
\(77\) −379.612 1156.19i −0.561828 1.71117i
\(78\) −16.4716 + 81.9071i −0.0239108 + 0.118899i
\(79\) −1084.44 −1.54442 −0.772211 0.635366i \(-0.780849\pi\)
−0.772211 + 0.635366i \(0.780849\pi\)
\(80\) −126.662 + 219.385i −0.177016 + 0.306600i
\(81\) −705.723 + 182.746i −0.968070 + 0.250680i
\(82\) −577.146 999.647i −0.777258 1.34625i
\(83\) 152.083 263.415i 0.201124 0.348356i −0.747767 0.663961i \(-0.768874\pi\)
0.948891 + 0.315605i \(0.102207\pi\)
\(84\) 35.2684 + 47.1340i 0.0458107 + 0.0612231i
\(85\) 92.9243 + 160.950i 0.118577 + 0.205382i
\(86\) 405.167 701.771i 0.508027 0.879929i
\(87\) 386.986 130.457i 0.476888 0.160763i
\(88\) 712.315 + 1233.77i 0.862876 + 1.49455i
\(89\) 550.553 + 953.585i 0.655713 + 1.13573i 0.981715 + 0.190359i \(0.0609652\pi\)
−0.326002 + 0.945369i \(0.605701\pi\)
\(90\) −270.162 113.239i −0.316418 0.132627i
\(91\) −31.6540 96.4096i −0.0364642 0.111060i
\(92\) 36.7079 63.5800i 0.0415985 0.0720508i
\(93\) 1182.83 + 1041.72i 1.31886 + 1.16152i
\(94\) 741.742 0.813882
\(95\) 5.69269 0.00614797
\(96\) −107.719 94.8686i −0.114521 0.100859i
\(97\) 493.784 855.260i 0.516868 0.895242i −0.482940 0.875653i \(-0.660431\pi\)
0.999808 0.0195884i \(-0.00623557\pi\)
\(98\) −922.042 403.731i −0.950411 0.416153i
\(99\) −1412.02 + 1074.07i −1.43347 + 1.09038i
\(100\) 34.0518 + 58.9795i 0.0340518 + 0.0589795i
\(101\) −375.784 650.877i −0.370217 0.641235i 0.619382 0.785090i \(-0.287383\pi\)
−0.989599 + 0.143855i \(0.954050\pi\)
\(102\) −726.359 + 244.862i −0.705101 + 0.237696i
\(103\) 276.520 478.947i 0.264528 0.458175i −0.702912 0.711277i \(-0.748117\pi\)
0.967440 + 0.253102i \(0.0814507\pi\)
\(104\) 59.3967 + 102.878i 0.0560031 + 0.0970002i
\(105\) 353.281 42.1633i 0.328349 0.0391877i
\(106\) 599.369 1038.14i 0.549206 0.951253i
\(107\) 136.170 + 235.853i 0.123028 + 0.213091i 0.920960 0.389656i \(-0.127406\pi\)
−0.797932 + 0.602747i \(0.794073\pi\)
\(108\) 48.1296 71.0559i 0.0428822 0.0633088i
\(109\) −218.698 + 378.796i −0.192179 + 0.332863i −0.945972 0.324248i \(-0.894889\pi\)
0.753793 + 0.657112i \(0.228222\pi\)
\(110\) −712.888 −0.617920
\(111\) 197.991 984.534i 0.169301 0.841872i
\(112\) 1242.08 + 260.015i 1.04790 + 0.219367i
\(113\) 157.658 + 273.071i 0.131250 + 0.227331i 0.924159 0.382009i \(-0.124768\pi\)
−0.792909 + 0.609340i \(0.791434\pi\)
\(114\) −4.62900 + 23.0183i −0.00380303 + 0.0189111i
\(115\) −221.855 384.264i −0.179896 0.311590i
\(116\) −24.0386 + 41.6361i −0.0192408 + 0.0333260i
\(117\) −117.742 + 89.5617i −0.0930362 + 0.0707691i
\(118\) −771.295 −0.601724
\(119\) 620.819 693.775i 0.478238 0.534439i
\(120\) −394.693 + 133.055i −0.300253 + 0.101218i
\(121\) −1493.23 + 2586.35i −1.12189 + 1.94316i
\(122\) 329.417 0.244459
\(123\) 402.956 2003.75i 0.295393 1.46888i
\(124\) −185.554 −0.134381
\(125\) 873.742 0.625199
\(126\) −116.783 + 1462.77i −0.0825702 + 1.03424i
\(127\) 314.914 0.220032 0.110016 0.993930i \(-0.464910\pi\)
0.110016 + 0.993930i \(0.464910\pi\)
\(128\) −1591.71 −1.09913
\(129\) 1359.65 458.352i 0.927992 0.312834i
\(130\) −59.4444 −0.0401047
\(131\) −854.346 + 1479.77i −0.569806 + 0.986932i 0.426779 + 0.904356i \(0.359648\pi\)
−0.996585 + 0.0825765i \(0.973685\pi\)
\(132\) 41.1769 204.757i 0.0271514 0.135014i
\(133\) −8.89571 27.0939i −0.00579967 0.0176642i
\(134\) 288.376 0.185910
\(135\) −226.469 466.638i −0.144381 0.297495i
\(136\) −544.949 + 943.879i −0.343595 + 0.595125i
\(137\) 438.080 + 758.777i 0.273195 + 0.473188i 0.969678 0.244385i \(-0.0785862\pi\)
−0.696483 + 0.717573i \(0.745253\pi\)
\(138\) 1734.17 584.604i 1.06973 0.360615i
\(139\) −368.183 637.712i −0.224668 0.389137i 0.731552 0.681786i \(-0.238797\pi\)
−0.956220 + 0.292649i \(0.905463\pi\)
\(140\) −27.9307 + 31.2130i −0.0168613 + 0.0188427i
\(141\) 985.626 + 868.047i 0.588686 + 0.518459i
\(142\) 748.324 0.442239
\(143\) −180.006 + 311.780i −0.105265 + 0.182324i
\(144\) −233.756 1835.20i −0.135275 1.06204i
\(145\) 145.284 + 251.640i 0.0832083 + 0.144121i
\(146\) −1009.92 + 1749.23i −0.572477 + 0.991559i
\(147\) −752.729 1615.53i −0.422340 0.906437i
\(148\) 59.1126 + 102.386i 0.0328313 + 0.0568654i
\(149\) 161.831 280.300i 0.0889781 0.154115i −0.818101 0.575074i \(-0.804973\pi\)
0.907079 + 0.420959i \(0.138307\pi\)
\(150\) −334.695 + 1664.32i −0.182185 + 0.905939i
\(151\) 1375.69 + 2382.76i 0.741404 + 1.28415i 0.951856 + 0.306545i \(0.0991732\pi\)
−0.210452 + 0.977604i \(0.567494\pi\)
\(152\) 16.6922 + 28.9117i 0.00890734 + 0.0154280i
\(153\) −1251.74 524.671i −0.661421 0.277236i
\(154\) 1114.00 + 3392.93i 0.582913 + 1.77539i
\(155\) −560.725 + 971.203i −0.290571 + 0.503283i
\(156\) 3.43355 17.0738i 0.00176220 0.00876279i
\(157\) −1710.03 −0.869267 −0.434634 0.900607i \(-0.643122\pi\)
−0.434634 + 0.900607i \(0.643122\pi\)
\(158\) 3182.38 1.60238
\(159\) 2011.35 678.045i 1.00321 0.338192i
\(160\) 51.0645 88.4464i 0.0252313 0.0437019i
\(161\) −1482.19 + 1656.38i −0.725548 + 0.810812i
\(162\) 2071.00 536.280i 1.00440 0.260087i
\(163\) −1694.66 2935.24i −0.814332 1.41046i −0.909807 0.415032i \(-0.863770\pi\)
0.0954751 0.995432i \(-0.469563\pi\)
\(164\) 120.308 + 208.379i 0.0572833 + 0.0992175i
\(165\) −947.284 834.279i −0.446945 0.393627i
\(166\) −446.298 + 773.011i −0.208672 + 0.361430i
\(167\) 782.792 + 1355.83i 0.362720 + 0.628249i 0.988407 0.151824i \(-0.0485148\pi\)
−0.625688 + 0.780074i \(0.715181\pi\)
\(168\) 1250.03 + 1670.59i 0.574060 + 0.767196i
\(169\) 1083.49 1876.66i 0.493168 0.854192i
\(170\) −272.693 472.319i −0.123027 0.213089i
\(171\) −33.0889 + 25.1695i −0.0147975 + 0.0112559i
\(172\) −84.4583 + 146.286i −0.0374412 + 0.0648500i
\(173\) 2848.83 1.25198 0.625991 0.779830i \(-0.284695\pi\)
0.625991 + 0.779830i \(0.284695\pi\)
\(174\) −1135.64 + 382.835i −0.494785 + 0.166797i
\(175\) −643.196 1959.00i −0.277834 0.846208i
\(176\) −2251.12 3899.05i −0.964117 1.66990i
\(177\) −1024.90 902.631i −0.435231 0.383310i
\(178\) −1615.64 2798.37i −0.680321 1.17835i
\(179\) 2004.75 3472.33i 0.837106 1.44991i −0.0551975 0.998475i \(-0.517579\pi\)
0.892304 0.451435i \(-0.149088\pi\)
\(180\) 56.3160 + 23.6050i 0.0233197 + 0.00977452i
\(181\) −4749.05 −1.95024 −0.975122 0.221668i \(-0.928850\pi\)
−0.975122 + 0.221668i \(0.928850\pi\)
\(182\) 92.8911 + 282.921i 0.0378327 + 0.115228i
\(183\) 437.729 + 385.511i 0.176819 + 0.155726i
\(184\) 1301.06 2253.49i 0.521278 0.902879i
\(185\) 714.529 0.283963
\(186\) −3471.10 3057.01i −1.36835 1.20511i
\(187\) −3303.02 −1.29166
\(188\) −154.618 −0.0599824
\(189\) −1867.03 + 1807.06i −0.718554 + 0.695472i
\(190\) −16.7056 −0.00637869
\(191\) 3102.96 1.17551 0.587755 0.809039i \(-0.300012\pi\)
0.587755 + 0.809039i \(0.300012\pi\)
\(192\) −1821.40 1604.12i −0.684627 0.602955i
\(193\) −2664.98 −0.993934 −0.496967 0.867769i \(-0.665553\pi\)
−0.496967 + 0.867769i \(0.665553\pi\)
\(194\) −1449.05 + 2509.82i −0.536265 + 0.928839i
\(195\) −78.9896 69.5666i −0.0290080 0.0255475i
\(196\) 192.202 + 84.1589i 0.0700445 + 0.0306701i
\(197\) −1434.52 −0.518810 −0.259405 0.965769i \(-0.583526\pi\)
−0.259405 + 0.965769i \(0.583526\pi\)
\(198\) 4143.68 3151.94i 1.48726 1.13131i
\(199\) 1019.11 1765.15i 0.363030 0.628786i −0.625428 0.780282i \(-0.715076\pi\)
0.988458 + 0.151496i \(0.0484089\pi\)
\(200\) 1206.91 + 2090.43i 0.426708 + 0.739080i
\(201\) 383.194 + 337.481i 0.134470 + 0.118428i
\(202\) 1102.77 + 1910.05i 0.384111 + 0.665299i
\(203\) 970.631 1084.70i 0.335591 0.375028i
\(204\) 151.412 51.0422i 0.0519653 0.0175180i
\(205\) 1454.23 0.495453
\(206\) −811.468 + 1405.50i −0.274455 + 0.475370i
\(207\) 2988.51 + 1252.64i 1.00346 + 0.420602i
\(208\) −187.710 325.124i −0.0625739 0.108381i
\(209\) −50.5871 + 87.6193i −0.0167425 + 0.0289988i
\(210\) −1036.73 + 123.731i −0.340671 + 0.0406584i
\(211\) 463.774 + 803.279i 0.151315 + 0.262085i 0.931711 0.363200i \(-0.118316\pi\)
−0.780396 + 0.625286i \(0.784983\pi\)
\(212\) −124.940 + 216.403i −0.0404760 + 0.0701065i
\(213\) 994.372 + 875.750i 0.319875 + 0.281715i
\(214\) −399.600 692.128i −0.127645 0.221088i
\(215\) 510.448 + 884.122i 0.161918 + 0.280449i
\(216\) 1705.88 2518.46i 0.537363 0.793333i
\(217\) 5498.59 + 1151.07i 1.72013 + 0.360091i
\(218\) 641.785 1111.60i 0.199391 0.345355i
\(219\) −3389.08 + 1142.49i −1.04572 + 0.352522i
\(220\) 148.603 0.0455402
\(221\) −275.424 −0.0838326
\(222\) −581.018 + 2889.19i −0.175655 + 0.873466i
\(223\) −2033.70 + 3522.47i −0.610702 + 1.05777i 0.380421 + 0.924814i \(0.375779\pi\)
−0.991122 + 0.132953i \(0.957554\pi\)
\(224\) −500.750 104.827i −0.149365 0.0312679i
\(225\) −2392.46 + 1819.85i −0.708877 + 0.539216i
\(226\) −462.658 801.348i −0.136175 0.235862i
\(227\) −380.784 659.537i −0.111337 0.192842i 0.804972 0.593312i \(-0.202180\pi\)
−0.916310 + 0.400471i \(0.868847\pi\)
\(228\) 0.964927 4.79823i 0.000280280 0.00139373i
\(229\) 2566.92 4446.04i 0.740729 1.28298i −0.211435 0.977392i \(-0.567814\pi\)
0.952164 0.305588i \(-0.0988531\pi\)
\(230\) 651.050 + 1127.65i 0.186648 + 0.323283i
\(231\) −2490.41 + 5812.22i −0.709336 + 1.65548i
\(232\) −852.010 + 1475.73i −0.241109 + 0.417613i
\(233\) −718.366 1244.25i −0.201982 0.349843i 0.747185 0.664616i \(-0.231405\pi\)
−0.949167 + 0.314773i \(0.898071\pi\)
\(234\) 345.522 262.825i 0.0965277 0.0734249i
\(235\) −467.240 + 809.284i −0.129700 + 0.224646i
\(236\) 160.778 0.0443466
\(237\) 4228.74 + 3724.28i 1.15901 + 1.02075i
\(238\) −1821.84 + 2035.93i −0.496186 + 0.554496i
\(239\) 1361.15 + 2357.57i 0.368390 + 0.638070i 0.989314 0.145801i \(-0.0465758\pi\)
−0.620924 + 0.783871i \(0.713242\pi\)
\(240\) 1247.34 420.490i 0.335482 0.113094i
\(241\) 3094.96 + 5360.63i 0.827237 + 1.43282i 0.900198 + 0.435482i \(0.143422\pi\)
−0.0729607 + 0.997335i \(0.523245\pi\)
\(242\) 4381.99 7589.83i 1.16399 2.01609i
\(243\) 3379.53 + 1711.04i 0.892170 + 0.451700i
\(244\) −68.6680 −0.0180165
\(245\) 1021.31 751.681i 0.266323 0.196013i
\(246\) −1182.50 + 5880.16i −0.306479 + 1.52400i
\(247\) −4.21822 + 7.30617i −0.00108663 + 0.00188211i
\(248\) −6576.67 −1.68395
\(249\) −1497.68 + 504.882i −0.381171 + 0.128496i
\(250\) −2564.06 −0.648662
\(251\) −4822.76 −1.21279 −0.606394 0.795164i \(-0.707385\pi\)
−0.606394 + 0.795164i \(0.707385\pi\)
\(252\) 24.3437 304.918i 0.00608536 0.0762224i
\(253\) 7885.90 1.95961
\(254\) −924.137 −0.228290
\(255\) 190.391 946.744i 0.0467559 0.232500i
\(256\) 934.248 0.228088
\(257\) −2991.46 + 5181.36i −0.726078 + 1.25760i 0.232451 + 0.972608i \(0.425325\pi\)
−0.958529 + 0.284995i \(0.908008\pi\)
\(258\) −3990.01 + 1345.07i −0.962818 + 0.324575i
\(259\) −1116.56 3400.74i −0.267876 0.815876i
\(260\) 12.3913 0.00295569
\(261\) −1957.06 820.307i −0.464134 0.194543i
\(262\) 2507.14 4342.50i 0.591190 1.02397i
\(263\) −1874.95 3247.51i −0.439598 0.761407i 0.558060 0.829801i \(-0.311546\pi\)
−0.997658 + 0.0683939i \(0.978213\pi\)
\(264\) 1459.45 7257.31i 0.340238 1.69188i
\(265\) 755.112 + 1307.89i 0.175042 + 0.303182i
\(266\) 26.1051 + 79.5091i 0.00601732 + 0.0183271i
\(267\) 1128.02 5609.21i 0.258553 1.28569i
\(268\) −60.1128 −0.0137014
\(269\) −599.355 + 1038.11i −0.135849 + 0.235297i −0.925921 0.377716i \(-0.876709\pi\)
0.790073 + 0.613013i \(0.210043\pi\)
\(270\) 664.591 + 1369.38i 0.149799 + 0.308659i
\(271\) 2007.66 + 3477.37i 0.450024 + 0.779465i 0.998387 0.0567755i \(-0.0180819\pi\)
−0.548362 + 0.836241i \(0.684749\pi\)
\(272\) 1722.19 2982.93i 0.383909 0.664950i
\(273\) −207.663 + 484.654i −0.0460380 + 0.107445i
\(274\) −1285.58 2226.69i −0.283448 0.490946i
\(275\) −3657.65 + 6335.23i −0.802052 + 1.38920i
\(276\) −361.492 + 121.862i −0.0788379 + 0.0265770i
\(277\) 2209.33 + 3826.67i 0.479226 + 0.830044i 0.999716 0.0238239i \(-0.00758409\pi\)
−0.520490 + 0.853868i \(0.674251\pi\)
\(278\) 1080.46 + 1871.41i 0.233100 + 0.403741i
\(279\) −1034.82 8124.31i −0.222054 1.74333i
\(280\) −989.960 + 1106.30i −0.211291 + 0.236121i
\(281\) 786.552 1362.35i 0.166981 0.289220i −0.770376 0.637590i \(-0.779931\pi\)
0.937357 + 0.348370i \(0.113265\pi\)
\(282\) −2892.39 2547.35i −0.610778 0.537916i
\(283\) 4868.35 1.02259 0.511296 0.859405i \(-0.329166\pi\)
0.511296 + 0.859405i \(0.329166\pi\)
\(284\) −155.990 −0.0325927
\(285\) −22.1984 19.5502i −0.00461375 0.00406336i
\(286\) 528.242 914.942i 0.109215 0.189167i
\(287\) −2272.46 6921.30i −0.467384 1.42352i
\(288\) 94.2400 + 739.872i 0.0192818 + 0.151380i
\(289\) 1193.03 + 2066.39i 0.242831 + 0.420596i
\(290\) −426.347 738.455i −0.0863310 0.149530i
\(291\) −4862.69 + 1639.26i −0.979573 + 0.330223i
\(292\) 210.521 364.633i 0.0421911 0.0730771i
\(293\) −4379.03 7584.70i −0.873125 1.51230i −0.858747 0.512401i \(-0.828756\pi\)
−0.0143787 0.999897i \(-0.504577\pi\)
\(294\) 2208.94 + 4740.88i 0.438190 + 0.940454i
\(295\) 485.856 841.527i 0.0958902 0.166087i
\(296\) 2095.15 + 3628.91i 0.411413 + 0.712589i
\(297\) 9194.76 + 660.975i 1.79641 + 0.129137i
\(298\) −474.906 + 822.561i −0.0923173 + 0.159898i
\(299\) 657.569 0.127185
\(300\) 69.7681 346.931i 0.0134269 0.0667669i
\(301\) 3410.26 3811.02i 0.653036 0.729779i
\(302\) −4037.06 6992.40i −0.769228 1.33234i
\(303\) −769.937 + 3828.61i −0.145979 + 0.725901i
\(304\) −52.7521 91.3693i −0.00995244 0.0172381i
\(305\) −207.507 + 359.413i −0.0389569 + 0.0674752i
\(306\) 3673.33 + 1539.69i 0.686243 + 0.287641i
\(307\) −5488.53 −1.02035 −0.510174 0.860071i \(-0.670419\pi\)
−0.510174 + 0.860071i \(0.670419\pi\)
\(308\) −232.216 707.266i −0.0429602 0.130845i
\(309\) −2723.11 + 917.986i −0.501335 + 0.169005i
\(310\) 1645.49 2850.07i 0.301475 0.522171i
\(311\) 1704.90 0.310855 0.155428 0.987847i \(-0.450324\pi\)
0.155428 + 0.987847i \(0.450324\pi\)
\(312\) 121.697 605.153i 0.0220824 0.109808i
\(313\) −6652.59 −1.20136 −0.600681 0.799488i \(-0.705104\pi\)
−0.600681 + 0.799488i \(0.705104\pi\)
\(314\) 5018.20 0.901889
\(315\) −1522.40 1048.85i −0.272310 0.187606i
\(316\) −663.375 −0.118094
\(317\) −4225.84 −0.748728 −0.374364 0.927282i \(-0.622139\pi\)
−0.374364 + 0.927282i \(0.622139\pi\)
\(318\) −5902.46 + 1989.77i −1.04086 + 0.350884i
\(319\) −5164.17 −0.906389
\(320\) 863.444 1495.53i 0.150837 0.261258i
\(321\) 278.996 1387.34i 0.0485110 0.241227i
\(322\) 4349.61 4860.76i 0.752777 0.841240i
\(323\) −77.4021 −0.0133336
\(324\) −431.705 + 111.789i −0.0740234 + 0.0191682i
\(325\) −304.994 + 528.265i −0.0520555 + 0.0901627i
\(326\) 4973.11 + 8613.67i 0.844892 + 1.46340i
\(327\) 2153.69 726.030i 0.364219 0.122781i
\(328\) 4264.12 + 7385.67i 0.717825 + 1.24331i
\(329\) 4581.86 + 959.162i 0.767800 + 0.160730i
\(330\) 2779.87 + 2448.25i 0.463718 + 0.408399i
\(331\) 4414.80 0.733109 0.366555 0.930396i \(-0.380537\pi\)
0.366555 + 0.930396i \(0.380537\pi\)
\(332\) 93.0321 161.136i 0.0153789 0.0266371i
\(333\) −4153.22 + 3159.19i −0.683468 + 0.519888i
\(334\) −2297.16 3978.80i −0.376332 0.651827i
\(335\) −181.655 + 314.635i −0.0296264 + 0.0513145i
\(336\) −3950.46 5279.55i −0.641414 0.857211i
\(337\) 1290.74 + 2235.63i 0.208638 + 0.361372i 0.951286 0.308311i \(-0.0997636\pi\)
−0.742648 + 0.669682i \(0.766430\pi\)
\(338\) −3179.58 + 5507.20i −0.511676 + 0.886248i
\(339\) 323.022 1606.27i 0.0517527 0.257347i
\(340\) 56.8436 + 98.4561i 0.00906700 + 0.0157045i
\(341\) −9965.56 17260.9i −1.58260 2.74114i
\(342\) 97.1017 73.8616i 0.0153528 0.0116783i
\(343\) −5173.53 3686.22i −0.814414 0.580284i
\(344\) −2993.49 + 5184.88i −0.469181 + 0.812645i
\(345\) −454.555 + 2260.33i −0.0709345 + 0.352731i
\(346\) −8360.11 −1.29897
\(347\) 6048.17 0.935685 0.467843 0.883812i \(-0.345031\pi\)
0.467843 + 0.883812i \(0.345031\pi\)
\(348\) 236.727 79.8029i 0.0364652 0.0122928i
\(349\) 5649.71 9785.58i 0.866538 1.50089i 0.00102701 0.999999i \(-0.499673\pi\)
0.865511 0.500889i \(-0.166994\pi\)
\(350\) 1887.50 + 5748.82i 0.288261 + 0.877965i
\(351\) 766.708 + 55.1157i 0.116592 + 0.00838136i
\(352\) 907.552 + 1571.93i 0.137422 + 0.238023i
\(353\) −518.102 897.379i −0.0781183 0.135305i 0.824320 0.566125i \(-0.191558\pi\)
−0.902438 + 0.430820i \(0.858225\pi\)
\(354\) 3007.63 + 2648.84i 0.451564 + 0.397695i
\(355\) −471.386 + 816.465i −0.0704749 + 0.122066i
\(356\) 336.784 + 583.327i 0.0501391 + 0.0868434i
\(357\) −4803.47 + 573.284i −0.712119 + 0.0849899i
\(358\) −5883.08 + 10189.8i −0.868522 + 1.50432i
\(359\) 5156.80 + 8931.83i 0.758121 + 1.31310i 0.943808 + 0.330495i \(0.107216\pi\)
−0.185687 + 0.982609i \(0.559451\pi\)
\(360\) 1996.03 + 836.643i 0.292223 + 0.122486i
\(361\) 3428.31 5938.01i 0.499827 0.865726i
\(362\) 13936.4 2.02343
\(363\) 14705.0 4957.20i 2.12621 0.716764i
\(364\) −19.3634 58.9756i −0.00278824 0.00849221i
\(365\) −1272.34 2203.76i −0.182459 0.316028i
\(366\) −1284.55 1131.31i −0.183455 0.161570i
\(367\) 1033.03 + 1789.26i 0.146931 + 0.254493i 0.930092 0.367327i \(-0.119727\pi\)
−0.783160 + 0.621820i \(0.786394\pi\)
\(368\) −4111.71 + 7121.68i −0.582439 + 1.00881i
\(369\) −8452.75 + 6429.68i −1.19250 + 0.907089i
\(370\) −2096.84 −0.294620
\(371\) 5044.83 5637.68i 0.705969 0.788932i
\(372\) 723.559 + 637.243i 0.100846 + 0.0888159i
\(373\) −2409.82 + 4173.92i −0.334519 + 0.579404i −0.983392 0.181493i \(-0.941907\pi\)
0.648873 + 0.760896i \(0.275240\pi\)
\(374\) 9692.96 1.34014
\(375\) −3407.12 3000.67i −0.469181 0.413211i
\(376\) −5480.20 −0.751648
\(377\) −430.616 −0.0588272
\(378\) 5478.94 5302.94i 0.745520 0.721571i
\(379\) −4459.20 −0.604363 −0.302182 0.953250i \(-0.597715\pi\)
−0.302182 + 0.953250i \(0.597715\pi\)
\(380\) 3.48233 0.000470104
\(381\) −1227.99 1081.50i −0.165123 0.145425i
\(382\) −9105.87 −1.21963
\(383\) −4505.18 + 7803.19i −0.601054 + 1.04106i 0.391608 + 0.920132i \(0.371919\pi\)
−0.992662 + 0.120924i \(0.961414\pi\)
\(384\) 6206.79 + 5466.36i 0.824841 + 0.726443i
\(385\) −4403.62 921.849i −0.582933 0.122031i
\(386\) 7820.57 1.03124
\(387\) −6876.02 2882.10i −0.903173 0.378567i
\(388\) 302.058 523.179i 0.0395223 0.0684546i
\(389\) −694.134 1202.28i −0.0904730 0.156704i 0.817237 0.576301i \(-0.195505\pi\)
−0.907710 + 0.419598i \(0.862171\pi\)
\(390\) 231.801 + 204.148i 0.0300966 + 0.0265063i
\(391\) 3016.51 + 5224.75i 0.390157 + 0.675772i
\(392\) 6812.30 + 2982.88i 0.877738 + 0.384332i
\(393\) 8413.42 2836.24i 1.07990 0.364045i
\(394\) 4209.71 0.538280
\(395\) −2004.65 + 3472.16i −0.255354 + 0.442287i
\(396\) −863.760 + 657.030i −0.109610 + 0.0833762i
\(397\) 1056.07 + 1829.16i 0.133507 + 0.231242i 0.925026 0.379903i \(-0.124043\pi\)
−0.791519 + 0.611145i \(0.790709\pi\)
\(398\) −2990.66 + 5179.97i −0.376654 + 0.652384i
\(399\) −58.3595 + 136.202i −0.00732238 + 0.0170893i
\(400\) −3814.19 6606.37i −0.476774 0.825796i
\(401\) 7681.86 13305.4i 0.956642 1.65695i 0.226078 0.974109i \(-0.427409\pi\)
0.730564 0.682844i \(-0.239257\pi\)
\(402\) −1124.51 990.363i −0.139516 0.122873i
\(403\) −830.982 1439.30i −0.102715 0.177908i
\(404\) −229.875 398.154i −0.0283086 0.0490320i
\(405\) −719.454 + 2597.39i −0.0882715 + 0.318680i
\(406\) −2848.39 + 3183.12i −0.348185 + 0.389102i
\(407\) −6349.53 + 10997.7i −0.773304 + 1.33940i
\(408\) 5366.54 1809.11i 0.651185 0.219520i
\(409\) 2526.36 0.305429 0.152714 0.988270i \(-0.451199\pi\)
0.152714 + 0.988270i \(0.451199\pi\)
\(410\) −4267.54 −0.514046
\(411\) 897.575 4463.31i 0.107723 0.535666i
\(412\) 169.153 292.981i 0.0202271 0.0350343i
\(413\) −4764.41 997.377i −0.567654 0.118832i
\(414\) −8770.01 3675.97i −1.04112 0.436387i
\(415\) −562.267 973.874i −0.0665074 0.115194i
\(416\) 75.6765 + 131.076i 0.00891911 + 0.0154483i
\(417\) −754.364 + 3751.17i −0.0885884 + 0.440517i
\(418\) 148.451 257.125i 0.0173708 0.0300871i
\(419\) 7146.27 + 12377.7i 0.833217 + 1.44317i 0.895474 + 0.445114i \(0.146837\pi\)
−0.0622570 + 0.998060i \(0.519830\pi\)
\(420\) 216.109 25.7921i 0.0251072 0.00299649i
\(421\) 4922.61 8526.22i 0.569866 0.987036i −0.426713 0.904387i \(-0.640329\pi\)
0.996579 0.0826493i \(-0.0263381\pi\)
\(422\) −1360.98 2357.28i −0.156994 0.271921i
\(423\) −862.295 6769.82i −0.0991163 0.778156i
\(424\) −4428.30 + 7670.05i −0.507211 + 0.878515i
\(425\) −5596.48 −0.638751
\(426\) −2918.06 2569.95i −0.331879 0.292288i
\(427\) 2034.86 + 425.976i 0.230618 + 0.0482774i
\(428\) 83.2977 + 144.276i 0.00940735 + 0.0162940i
\(429\) 1772.67 597.582i 0.199499 0.0672530i
\(430\) −1497.95 2594.52i −0.167994 0.290974i
\(431\) −185.814 + 321.839i −0.0207664 + 0.0359685i −0.876222 0.481908i \(-0.839944\pi\)
0.855455 + 0.517876i \(0.173277\pi\)
\(432\) −5391.06 + 7959.07i −0.600411 + 0.886414i
\(433\) −1175.51 −0.130466 −0.0652328 0.997870i \(-0.520779\pi\)
−0.0652328 + 0.997870i \(0.520779\pi\)
\(434\) −16136.0 3377.90i −1.78469 0.373604i
\(435\) 297.670 1480.20i 0.0328096 0.163150i
\(436\) −133.782 + 231.717i −0.0146949 + 0.0254524i
\(437\) 184.796 0.0202288
\(438\) 9945.49 3352.72i 1.08496 0.365751i
\(439\) 13454.2 1.46272 0.731358 0.681994i \(-0.238887\pi\)
0.731358 + 0.681994i \(0.238887\pi\)
\(440\) 5267.01 0.570670
\(441\) −2612.92 + 8884.75i −0.282143 + 0.959372i
\(442\) 808.251 0.0869787
\(443\) 6329.65 0.678851 0.339425 0.940633i \(-0.389767\pi\)
0.339425 + 0.940633i \(0.389767\pi\)
\(444\) 121.115 602.259i 0.0129456 0.0643737i
\(445\) 4070.90 0.433661
\(446\) 5968.03 10336.9i 0.633620 1.09746i
\(447\) −1593.68 + 537.245i −0.168632 + 0.0568474i
\(448\) −8467.12 1772.50i −0.892933 0.186926i
\(449\) 644.573 0.0677489 0.0338745 0.999426i \(-0.489215\pi\)
0.0338745 + 0.999426i \(0.489215\pi\)
\(450\) 7020.85 5340.49i 0.735480 0.559451i
\(451\) −12922.8 + 22382.9i −1.34924 + 2.33696i
\(452\) 96.4424 + 167.043i 0.0100360 + 0.0173828i
\(453\) 2818.63 14016.0i 0.292341 1.45370i
\(454\) 1117.44 + 1935.46i 0.115515 + 0.200079i
\(455\) −367.197 76.8687i −0.0378340 0.00792013i
\(456\) 34.2003 170.066i 0.00351223 0.0174650i
\(457\) 2638.21 0.270044 0.135022 0.990843i \(-0.456889\pi\)
0.135022 + 0.990843i \(0.456889\pi\)
\(458\) −7532.82 + 13047.2i −0.768527 + 1.33113i
\(459\) 3079.25 + 6344.76i 0.313131 + 0.645203i
\(460\) −135.713 235.062i −0.0137558 0.0238257i
\(461\) 1820.24 3152.75i 0.183898 0.318521i −0.759307 0.650733i \(-0.774462\pi\)
0.943205 + 0.332212i \(0.107795\pi\)
\(462\) 7308.28 17056.4i 0.735957 1.71761i
\(463\) −3186.10 5518.49i −0.319807 0.553923i 0.660640 0.750703i \(-0.270285\pi\)
−0.980448 + 0.196780i \(0.936952\pi\)
\(464\) 2692.60 4663.71i 0.269398 0.466611i
\(465\) 5521.90 1861.48i 0.550692 0.185643i
\(466\) 2108.10 + 3651.33i 0.209562 + 0.362972i
\(467\) 2398.70 + 4154.67i 0.237684 + 0.411681i 0.960049 0.279831i \(-0.0902783\pi\)
−0.722365 + 0.691512i \(0.756945\pi\)
\(468\) −72.0250 + 54.7867i −0.00711401 + 0.00541135i
\(469\) 1781.35 + 372.905i 0.175384 + 0.0367146i
\(470\) 1371.15 2374.90i 0.134567 0.233077i
\(471\) 6668.17 + 5872.70i 0.652342 + 0.574522i
\(472\) 5698.54 0.555713
\(473\) −18144.0 −1.76377
\(474\) −12409.5 10929.2i −1.20251 1.05906i
\(475\) −85.7123 + 148.458i −0.00827947 + 0.0143405i
\(476\) 379.767 424.396i 0.0365685 0.0408659i
\(477\) −10171.8 4263.53i −0.976381 0.409253i
\(478\) −3994.38 6918.47i −0.382215 0.662016i
\(479\) −5969.99 10340.3i −0.569470 0.986350i −0.996618 0.0821690i \(-0.973815\pi\)
0.427149 0.904181i \(-0.359518\pi\)
\(480\) −502.873 + 169.523i −0.0478186 + 0.0161201i
\(481\) −529.458 + 917.048i −0.0501896 + 0.0869310i
\(482\) −9082.40 15731.2i −0.858282 1.48659i
\(483\) 11468.2 1368.70i 1.08037 0.128940i
\(484\) −913.438 + 1582.12i −0.0857849 + 0.148584i
\(485\) −1825.57 3161.99i −0.170918 0.296038i
\(486\) −9917.49 5021.17i −0.925651 0.468652i
\(487\) 4633.83 8026.04i 0.431168 0.746806i −0.565806 0.824539i \(-0.691435\pi\)
0.996974 + 0.0777329i \(0.0247681\pi\)
\(488\) −2433.83 −0.225767
\(489\) −3472.16 + 17265.8i −0.321097 + 1.59670i
\(490\) −2997.11 + 2205.86i −0.276317 + 0.203369i
\(491\) 2769.69 + 4797.25i 0.254571 + 0.440931i 0.964779 0.263062i \(-0.0847323\pi\)
−0.710208 + 0.703992i \(0.751399\pi\)
\(492\) 246.496 1225.73i 0.0225872 0.112318i
\(493\) −1975.40 3421.49i −0.180461 0.312568i
\(494\) 12.3787 21.4405i 0.00112741 0.00195274i
\(495\) 828.750 + 6506.47i 0.0752516 + 0.590796i
\(496\) 20784.1 1.88152
\(497\) 4622.52 + 967.673i 0.417200 + 0.0873362i
\(498\) 4395.05 1481.61i 0.395476 0.133319i
\(499\) −2601.07 + 4505.19i −0.233347 + 0.404168i −0.958791 0.284113i \(-0.908301\pi\)
0.725444 + 0.688281i \(0.241634\pi\)
\(500\) 534.485 0.0478058
\(501\) 1603.85 7975.34i 0.143023 0.711201i
\(502\) 14152.7 1.25830
\(503\) 8925.34 0.791176 0.395588 0.918428i \(-0.370541\pi\)
0.395588 + 0.918428i \(0.370541\pi\)
\(504\) 862.825 10807.4i 0.0762565 0.955155i
\(505\) −2778.63 −0.244846
\(506\) −23141.8 −2.03316
\(507\) −10670.0 + 3596.95i −0.934656 + 0.315081i
\(508\) 192.639 0.0168247
\(509\) −441.724 + 765.088i −0.0384658 + 0.0666246i −0.884617 0.466318i \(-0.845580\pi\)
0.846152 + 0.532942i \(0.178914\pi\)
\(510\) −558.716 + 2778.29i −0.0485105 + 0.241225i
\(511\) −8500.41 + 9499.35i −0.735883 + 0.822361i
\(512\) 9992.04 0.862480
\(513\) 215.467 + 15.4891i 0.0185441 + 0.00133306i
\(514\) 8778.65 15205.1i 0.753326 1.30480i
\(515\) −1022.32 1770.72i −0.0874738 0.151509i
\(516\) 831.727 280.383i 0.0709588 0.0239209i
\(517\) −8304.09 14383.1i −0.706409 1.22354i
\(518\) 3276.63 + 9979.73i 0.277929 + 0.846495i
\(519\) −11108.9 9783.68i −0.939550 0.827468i
\(520\) 439.192 0.0370381
\(521\) 3383.38 5860.18i 0.284507 0.492781i −0.687982 0.725728i \(-0.741503\pi\)
0.972490 + 0.232946i \(0.0748366\pi\)
\(522\) 5743.14 + 2407.25i 0.481552 + 0.201844i
\(523\) −2074.51 3593.15i −0.173445 0.300416i 0.766177 0.642630i \(-0.222157\pi\)
−0.939622 + 0.342214i \(0.888823\pi\)
\(524\) −522.620 + 905.205i −0.0435702 + 0.0754658i
\(525\) −4219.62 + 9847.94i −0.350780 + 0.818665i
\(526\) 5502.18 + 9530.05i 0.456096 + 0.789981i
\(527\) 7624.04 13205.2i 0.630187 1.09152i
\(528\) −4612.28 + 22935.2i −0.380158 + 1.89039i
\(529\) −1118.36 1937.06i −0.0919177 0.159206i
\(530\) −2215.93 3838.10i −0.181611 0.314560i
\(531\) 896.650 + 7039.54i 0.0732793 + 0.575311i
\(532\) −5.44168 16.5739i −0.000443472 0.00135069i
\(533\) −1077.57 + 1866.40i −0.0875697 + 0.151675i
\(534\) −3310.25 + 16460.6i −0.268256 + 1.33394i
\(535\) 1006.87 0.0813658
\(536\) −2130.60 −0.171694
\(537\) −19742.4 + 6655.33i −1.58649 + 0.534821i
\(538\) 1758.85 3046.42i 0.140947 0.244127i
\(539\) 2493.87 + 22399.2i 0.199293 + 1.78999i
\(540\) −138.536 285.451i −0.0110401 0.0227479i
\(541\) 525.578 + 910.327i 0.0417677 + 0.0723439i 0.886154 0.463392i \(-0.153368\pi\)
−0.844386 + 0.535736i \(0.820034\pi\)
\(542\) −5891.62 10204.6i −0.466913 0.808717i
\(543\) 18518.7 + 16309.5i 1.46356 + 1.28897i
\(544\) −694.312 + 1202.58i −0.0547213 + 0.0947801i
\(545\) 808.550 + 1400.45i 0.0635495 + 0.110071i
\(546\) 609.403 1422.25i 0.0477657 0.111478i
\(547\) −8242.51 + 14276.4i −0.644286 + 1.11594i 0.340180 + 0.940360i \(0.389512\pi\)
−0.984466 + 0.175575i \(0.943821\pi\)
\(548\) 267.982 + 464.159i 0.0208899 + 0.0361823i
\(549\) −382.956 3006.57i −0.0297708 0.233729i
\(550\) 10733.6 18591.2i 0.832152 1.44133i
\(551\) −121.016 −0.00935652
\(552\) −12812.5 + 4319.22i −0.987930 + 0.333040i
\(553\) 19658.1 + 4115.20i 1.51166 + 0.316448i
\(554\) −6483.43 11229.6i −0.497211 0.861194i
\(555\) −2786.27 2453.89i −0.213100 0.187679i
\(556\) −225.225 390.101i −0.0171793 0.0297553i
\(557\) −4592.38 + 7954.23i −0.349345 + 0.605084i −0.986133 0.165955i \(-0.946929\pi\)
0.636788 + 0.771039i \(0.280263\pi\)
\(558\) 3036.76 + 23841.4i 0.230388 + 1.80876i
\(559\) −1512.95 −0.114474
\(560\) 3128.56 3496.21i 0.236082 0.263825i
\(561\) 12880.0 + 11343.5i 0.969329 + 0.853694i
\(562\) −2308.19 + 3997.91i −0.173248 + 0.300074i
\(563\) 19540.3 1.46275 0.731373 0.681977i \(-0.238880\pi\)
0.731373 + 0.681977i \(0.238880\pi\)
\(564\) 602.927 + 531.001i 0.0450138 + 0.0396440i
\(565\) 1165.76 0.0868030
\(566\) −14286.5 −1.06097
\(567\) 13486.3 634.641i 0.998895 0.0470060i
\(568\) −5528.83 −0.408424
\(569\) 18980.7 1.39844 0.699220 0.714906i \(-0.253531\pi\)
0.699220 + 0.714906i \(0.253531\pi\)
\(570\) 65.1428 + 57.3716i 0.00478690 + 0.00421585i
\(571\) 19907.7 1.45904 0.729519 0.683960i \(-0.239744\pi\)
0.729519 + 0.683960i \(0.239744\pi\)
\(572\) −110.113 + 190.722i −0.00804908 + 0.0139414i
\(573\) −12099.9 10656.4i −0.882163 0.776926i
\(574\) 6668.70 + 20311.1i 0.484924 + 1.47695i
\(575\) 13361.5 0.969066
\(576\) 1593.49 + 12510.4i 0.115270 + 0.904977i
\(577\) 759.050 1314.71i 0.0547655 0.0948566i −0.837343 0.546678i \(-0.815892\pi\)
0.892108 + 0.451821i \(0.149226\pi\)
\(578\) −3501.03 6063.97i −0.251944 0.436380i
\(579\) 10392.0 + 9152.27i 0.745899 + 0.656917i
\(580\) 88.8733 + 153.933i 0.00636252 + 0.0110202i
\(581\) −3756.45 + 4197.90i −0.268234 + 0.299756i
\(582\) 14269.9 4810.52i 1.01633 0.342616i
\(583\) −26840.7 −1.90674
\(584\) 7461.58 12923.8i 0.528703 0.915740i
\(585\) 69.1056 + 542.544i 0.00488405 + 0.0383443i
\(586\) 12850.6 + 22257.9i 0.905892 + 1.56905i
\(587\) 49.6245 85.9522i 0.00348931 0.00604366i −0.864275 0.503019i \(-0.832223\pi\)
0.867765 + 0.496975i \(0.165556\pi\)
\(588\) −460.459 988.249i −0.0322942 0.0693107i
\(589\) −233.530 404.486i −0.0163369 0.0282964i
\(590\) −1425.78 + 2469.52i −0.0994888 + 0.172320i
\(591\) 5593.86 + 4926.55i 0.389341 + 0.342895i
\(592\) −6621.28 11468.4i −0.459684 0.796196i
\(593\) −1602.40 2775.44i −0.110966 0.192199i 0.805194 0.593011i \(-0.202061\pi\)
−0.916160 + 0.400813i \(0.868728\pi\)
\(594\) −26982.7 1939.68i −1.86383 0.133983i
\(595\) −1073.70 3270.21i −0.0739792 0.225320i
\(596\) 98.9954 171.465i 0.00680371 0.0117844i
\(597\) −10036.0 + 3383.23i −0.688018 + 0.231937i
\(598\) −1929.68 −0.131958
\(599\) −19758.0 −1.34773 −0.673866 0.738854i \(-0.735368\pi\)
−0.673866 + 0.738854i \(0.735368\pi\)
\(600\) 2472.82 12296.4i 0.168254 0.836666i
\(601\) 745.047 1290.46i 0.0505676 0.0875856i −0.839634 0.543153i \(-0.817230\pi\)
0.890201 + 0.455568i \(0.150564\pi\)
\(602\) −10007.6 + 11183.7i −0.677544 + 0.757166i
\(603\) −335.245 2631.99i −0.0226405 0.177749i
\(604\) 841.536 + 1457.58i 0.0566914 + 0.0981925i
\(605\) 5520.63 + 9562.01i 0.370984 + 0.642563i
\(606\) 2259.44 11235.3i 0.151458 0.753143i
\(607\) 1207.26 2091.04i 0.0807269 0.139823i −0.822835 0.568280i \(-0.807609\pi\)
0.903562 + 0.428457i \(0.140942\pi\)
\(608\) 21.2673 + 36.8361i 0.00141859 + 0.00245707i
\(609\) −7510.08 + 896.311i −0.499710 + 0.0596394i
\(610\) 608.946 1054.72i 0.0404188 0.0700075i
\(611\) −692.440 1199.34i −0.0458480 0.0794110i
\(612\) −765.716 320.952i −0.0505755 0.0211989i
\(613\) 6831.31 11832.2i 0.450105 0.779604i −0.548287 0.836290i \(-0.684720\pi\)
0.998392 + 0.0566858i \(0.0180533\pi\)
\(614\) 16106.5 1.05864
\(615\) −5670.71 4994.22i −0.371813 0.327458i
\(616\) −8230.53 25067.9i −0.538340 1.63964i
\(617\) 1876.84 + 3250.78i 0.122461 + 0.212109i 0.920738 0.390182i \(-0.127588\pi\)
−0.798276 + 0.602291i \(0.794255\pi\)
\(618\) 7991.17 2693.90i 0.520149 0.175347i
\(619\) −12799.7 22169.7i −0.831118 1.43954i −0.897152 0.441721i \(-0.854368\pi\)
0.0660345 0.997817i \(-0.478965\pi\)
\(620\) −343.006 + 594.104i −0.0222185 + 0.0384836i
\(621\) −7351.65 15148.0i −0.475059 0.978854i
\(622\) −5003.15 −0.322521
\(623\) −6361.42 19375.2i −0.409093 1.24599i
\(624\) −384.596 + 1912.46i −0.0246734 + 0.122692i
\(625\) −5343.05 + 9254.44i −0.341955 + 0.592284i
\(626\) 19522.5 1.24645
\(627\) 498.171 167.938i 0.0317305 0.0106966i
\(628\) −1046.06 −0.0664685
\(629\) −9715.27 −0.615856
\(630\) 4467.60 + 3077.92i 0.282529 + 0.194647i
\(631\) 718.485 0.0453288 0.0226644 0.999743i \(-0.492785\pi\)
0.0226644 + 0.999743i \(0.492785\pi\)
\(632\) −23512.3 −1.47986
\(633\) 950.217 4725.08i 0.0596647 0.296690i
\(634\) 12401.0 0.776826
\(635\) 582.135 1008.29i 0.0363800 0.0630121i
\(636\) 1230.38 414.774i 0.0767105 0.0258598i
\(637\) 207.952 + 1867.77i 0.0129347 + 0.116175i
\(638\) 15154.6 0.940404
\(639\) −869.947 6829.90i −0.0538569 0.422827i
\(640\) −2942.36 + 5096.31i −0.181729 + 0.314765i
\(641\) −4421.16 7657.67i −0.272426 0.471856i 0.697056 0.717016i \(-0.254493\pi\)
−0.969483 + 0.245160i \(0.921159\pi\)
\(642\) −818.733 + 4071.26i −0.0503315 + 0.250280i
\(643\) −15033.0 26037.9i −0.921997 1.59695i −0.796321 0.604874i \(-0.793224\pi\)
−0.125676 0.992071i \(-0.540110\pi\)
\(644\) −906.687 + 1013.24i −0.0554790 + 0.0619987i
\(645\) 1045.85 5200.61i 0.0638453 0.317479i
\(646\) 227.142 0.0138340
\(647\) −2937.46 + 5087.84i −0.178491 + 0.309155i −0.941364 0.337393i \(-0.890455\pi\)
0.762873 + 0.646548i \(0.223788\pi\)
\(648\) −15301.1 + 3962.19i −0.927599 + 0.240200i
\(649\) 8634.94 + 14956.2i 0.522267 + 0.904593i
\(650\) 895.028 1550.23i 0.0540090 0.0935464i
\(651\) −17488.4 23372.2i −1.05288 1.40711i
\(652\) −1036.66 1795.54i −0.0622678 0.107851i
\(653\) 9099.17 15760.2i 0.545296 0.944480i −0.453292 0.891362i \(-0.649751\pi\)
0.998588 0.0531181i \(-0.0169160\pi\)
\(654\) −6320.17 + 2130.59i −0.377887 + 0.127389i
\(655\) 3158.61 + 5470.87i 0.188423 + 0.326358i
\(656\) −13475.8 23340.8i −0.802047 1.38919i
\(657\) 17139.2 + 7183.93i 1.01775 + 0.426594i
\(658\) −13445.8 2814.73i −0.796614 0.166762i
\(659\) −5816.45 + 10074.4i −0.343819 + 0.595512i −0.985138 0.171762i \(-0.945054\pi\)
0.641320 + 0.767274i \(0.278387\pi\)
\(660\) −579.472 510.345i −0.0341756 0.0300987i
\(661\) −8940.79 −0.526107 −0.263053 0.964781i \(-0.584730\pi\)
−0.263053 + 0.964781i \(0.584730\pi\)
\(662\) −12955.5 −0.760622
\(663\) 1074.00 + 945.881i 0.0629122 + 0.0554072i
\(664\) 3297.38 5711.22i 0.192715 0.333793i
\(665\) −103.193 21.6024i −0.00601753 0.00125970i
\(666\) 12187.9 9270.88i 0.709117 0.539399i
\(667\) 4716.22 + 8168.73i 0.273782 + 0.474205i
\(668\) 478.849 + 829.391i 0.0277354 + 0.0480391i
\(669\) 20027.4 6751.43i 1.15741 0.390173i
\(670\) 533.079 923.320i 0.0307383 0.0532402i
\(671\) −3687.96 6387.73i −0.212179 0.367504i
\(672\) 1592.65 + 2128.48i 0.0914253 + 0.122184i
\(673\) 5154.45 8927.77i 0.295229 0.511352i −0.679809 0.733389i \(-0.737937\pi\)
0.975038 + 0.222037i \(0.0712706\pi\)
\(674\) −3787.77 6560.61i −0.216468 0.374933i
\(675\) 15579.2 + 1119.92i 0.888359 + 0.0638606i
\(676\) 662.792 1147.99i 0.0377101 0.0653158i
\(677\) 19108.4 1.08478 0.542389 0.840128i \(-0.317520\pi\)
0.542389 + 0.840128i \(0.317520\pi\)
\(678\) −947.932 + 4713.72i −0.0536949 + 0.267005i
\(679\) −12196.5 + 13629.8i −0.689335 + 0.770343i
\(680\) 2014.73 + 3489.62i 0.113620 + 0.196795i
\(681\) −780.182 + 3879.55i −0.0439011 + 0.218304i
\(682\) 29244.7 + 50653.2i 1.64199 + 2.84401i
\(683\) −7772.25 + 13461.9i −0.435427 + 0.754182i −0.997330 0.0730208i \(-0.976736\pi\)
0.561903 + 0.827203i \(0.310069\pi\)
\(684\) −20.2411 + 15.3967i −0.00113149 + 0.000860681i
\(685\) 3239.26 0.180680
\(686\) 15182.1 + 10817.5i 0.844978 + 0.602061i
\(687\) −25278.5 + 8521.62i −1.40384 + 0.473246i
\(688\) 9460.28 16385.7i 0.524230 0.907992i
\(689\) −2238.12 −0.123753
\(690\) 1333.92 6633.11i 0.0735966 0.365969i
\(691\) 13845.9 0.762261 0.381131 0.924521i \(-0.375535\pi\)
0.381131 + 0.924521i \(0.375535\pi\)
\(692\) 1742.69 0.0957327
\(693\) 29672.0 14111.7i 1.62647 0.773537i
\(694\) −17748.8 −0.970800
\(695\) −2722.43 −0.148586
\(696\) 8390.42 2828.49i 0.456951 0.154043i
\(697\) −19772.8 −1.07453
\(698\) −16579.5 + 28716.5i −0.899058 + 1.55721i
\(699\) −1471.85 + 7318.95i −0.0796429 + 0.396035i
\(700\) −393.455 1198.36i −0.0212446 0.0647052i
\(701\) 21818.9 1.17559 0.587794 0.809011i \(-0.299997\pi\)
0.587794 + 0.809011i \(0.299997\pi\)
\(702\) −2249.96 161.741i −0.120968 0.00869590i
\(703\) −148.793 + 257.717i −0.00798270 + 0.0138264i
\(704\) 15345.7 + 26579.5i 0.821537 + 1.42294i
\(705\) 4601.28 1551.14i 0.245808 0.0828640i
\(706\) 1520.41 + 2633.42i 0.0810500 + 0.140383i
\(707\) 4342.04 + 13224.7i 0.230975 + 0.703486i
\(708\) −626.949 552.157i −0.0332799 0.0293098i
\(709\) 490.782 0.0259968 0.0129984 0.999916i \(-0.495862\pi\)
0.0129984 + 0.999916i \(0.495862\pi\)
\(710\) 1383.32 2395.98i 0.0731197 0.126647i
\(711\) −3699.60 29045.3i −0.195142 1.53204i
\(712\) 11936.8 + 20675.1i 0.628300 + 1.08825i
\(713\) −18202.2 + 31527.2i −0.956072 + 1.65597i
\(714\) 14096.1 1682.34i 0.738844 0.0881794i
\(715\) 665.503 + 1152.68i 0.0348089 + 0.0602909i
\(716\) 1226.34 2124.09i 0.0640093 0.110867i
\(717\) 2788.83 13867.8i 0.145259 0.722319i
\(718\) −15133.0 26211.1i −0.786572 1.36238i
\(719\) −3069.85 5317.13i −0.159229 0.275794i 0.775362 0.631518i \(-0.217568\pi\)
−0.934591 + 0.355724i \(0.884234\pi\)
\(720\) −6308.03 2644.03i −0.326509 0.136857i
\(721\) −6830.05 + 7632.70i −0.352794 + 0.394253i
\(722\) −10060.6 + 17425.5i −0.518585 + 0.898215i
\(723\) 6341.21 31532.5i 0.326186 1.62200i
\(724\) −2905.09 −0.149125
\(725\) −8749.92 −0.448226
\(726\) −43152.9 + 14547.3i −2.20600 + 0.743663i
\(727\) −9687.53 + 16779.3i −0.494210 + 0.855997i −0.999978 0.00667304i \(-0.997876\pi\)
0.505768 + 0.862670i \(0.331209\pi\)
\(728\) −686.306 2090.30i −0.0349398 0.106417i
\(729\) −7302.17 18278.4i −0.370989 0.928637i
\(730\) 3733.79 + 6467.11i 0.189306 + 0.327888i
\(731\) −6940.44 12021.2i −0.351165 0.608235i
\(732\) 267.768 + 235.825i 0.0135205 + 0.0119076i
\(733\) −4090.20 + 7084.44i −0.206105 + 0.356985i −0.950484 0.310773i \(-0.899412\pi\)
0.744379 + 0.667757i \(0.232746\pi\)
\(734\) −3031.51 5250.72i −0.152445 0.264043i
\(735\) −6564.03 576.306i −0.329412 0.0289216i
\(736\) 1657.66 2871.15i 0.0830191 0.143793i
\(737\) −3228.48 5591.90i −0.161361 0.279485i
\(738\) 24805.2 18868.4i 1.23725 0.941131i
\(739\) −3994.83 + 6919.24i −0.198853 + 0.344423i −0.948157 0.317803i \(-0.897055\pi\)
0.749304 + 0.662226i \(0.230388\pi\)
\(740\) 437.091 0.0217132
\(741\) 41.5402 14.0036i 0.00205940 0.000694243i
\(742\) −14804.4 + 16544.2i −0.732463 + 0.818540i
\(743\) 11091.9 + 19211.7i 0.547674 + 0.948599i 0.998433 + 0.0559534i \(0.0178198\pi\)
−0.450760 + 0.892645i \(0.648847\pi\)
\(744\) 25645.4 + 22586.1i 1.26372 + 1.11297i
\(745\) −598.308 1036.30i −0.0294232 0.0509625i
\(746\) 7071.78 12248.7i 0.347073 0.601148i
\(747\) 7574.04 + 3174.68i 0.370977 + 0.155496i
\(748\) −2020.52 −0.0987669
\(749\) −1573.39 4792.11i −0.0767562 0.233778i
\(750\) 9998.44 + 8805.69i 0.486789 + 0.428718i
\(751\) −6605.32 + 11440.7i −0.320947 + 0.555897i −0.980684 0.195600i \(-0.937335\pi\)
0.659736 + 0.751497i \(0.270668\pi\)
\(752\) 17319.0 0.839839
\(753\) 18806.1 + 16562.7i 0.910138 + 0.801564i
\(754\) 1263.67 0.0610349
\(755\) 10172.1 0.490334
\(756\) −1142.10 + 1105.41i −0.0549442 + 0.0531792i
\(757\) −5945.66 −0.285467 −0.142734 0.989761i \(-0.545589\pi\)
−0.142734 + 0.989761i \(0.545589\pi\)
\(758\) 13085.8 0.627044
\(759\) −30750.7 27082.4i −1.47059 1.29516i
\(760\) 123.426 0.00589095
\(761\) −3981.91 + 6896.87i −0.189677 + 0.328530i −0.945142 0.326658i \(-0.894077\pi\)
0.755466 + 0.655188i \(0.227411\pi\)
\(762\) 3603.63 + 3173.74i 0.171320 + 0.150883i
\(763\) 5401.85 6036.65i 0.256304 0.286424i
\(764\) 1898.14 0.0898854
\(765\) −3993.80 + 3037.93i −0.188753 + 0.143577i
\(766\) 13220.8 22899.0i 0.623611 1.08013i
\(767\) 720.028 + 1247.12i 0.0338966 + 0.0587106i
\(768\) −3643.06 3208.46i −0.171169 0.150749i
\(769\) 11183.7 + 19370.7i 0.524439 + 0.908355i 0.999595 + 0.0284535i \(0.00905826\pi\)
−0.475156 + 0.879902i \(0.657608\pi\)
\(770\) 12922.7 + 2705.23i 0.604809 + 0.126610i
\(771\) 29459.3 9930.98i 1.37607 0.463885i
\(772\) −1630.22 −0.0760012
\(773\) −14269.9 + 24716.1i −0.663974 + 1.15004i 0.315589 + 0.948896i