Properties

Label 63.4.h.a.25.5
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 25.5
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.5

$q$-expansion

\(f(q)\) \(=\) \(q-3.37342 q^{2} +(4.47377 - 2.64298i) q^{3} +3.37993 q^{4} +(4.87266 - 8.43970i) q^{5} +(-15.0919 + 8.91589i) q^{6} +(-16.1176 + 9.12268i) q^{7} +15.5854 q^{8} +(13.0293 - 23.6482i) q^{9} +O(q^{10})\) \(q-3.37342 q^{2} +(4.47377 - 2.64298i) q^{3} +3.37993 q^{4} +(4.87266 - 8.43970i) q^{5} +(-15.0919 + 8.91589i) q^{6} +(-16.1176 + 9.12268i) q^{7} +15.5854 q^{8} +(13.0293 - 23.6482i) q^{9} +(-16.4375 + 28.4706i) q^{10} +(-19.4562 - 33.6990i) q^{11} +(15.1210 - 8.93310i) q^{12} +(-31.2817 - 54.1816i) q^{13} +(54.3713 - 30.7746i) q^{14} +(-0.506819 - 50.6356i) q^{15} -79.6155 q^{16} +(63.3614 - 109.745i) q^{17} +(-43.9531 + 79.7753i) q^{18} +(22.7332 + 39.3751i) q^{19} +(16.4692 - 28.5256i) q^{20} +(-47.9953 + 83.4113i) q^{21} +(65.6337 + 113.681i) q^{22} +(-76.9324 + 133.251i) q^{23} +(69.7256 - 41.1920i) q^{24} +(15.0144 + 26.0056i) q^{25} +(105.526 + 182.777i) q^{26} +(-4.21196 - 140.233i) q^{27} +(-54.4763 + 30.8340i) q^{28} +(27.4655 - 47.5716i) q^{29} +(1.70971 + 170.815i) q^{30} +109.702 q^{31} +143.893 q^{32} +(-176.108 - 99.3395i) q^{33} +(-213.744 + 370.216i) q^{34} +(-1.54295 + 180.479i) q^{35} +(44.0380 - 79.9293i) q^{36} +(144.482 + 250.249i) q^{37} +(-76.6886 - 132.829i) q^{38} +(-283.148 - 159.719i) q^{39} +(75.9424 - 131.536i) q^{40} +(-11.3009 - 19.5738i) q^{41} +(161.908 - 281.381i) q^{42} +(23.9450 - 41.4740i) q^{43} +(-65.7604 - 113.900i) q^{44} +(-136.097 - 225.193i) q^{45} +(259.525 - 449.510i) q^{46} +386.770 q^{47} +(-356.182 + 210.423i) q^{48} +(176.554 - 294.071i) q^{49} +(-50.6496 - 87.7278i) q^{50} +(-6.59040 - 658.438i) q^{51} +(-105.730 - 183.130i) q^{52} +(-133.617 + 231.431i) q^{53} +(14.2087 + 473.064i) q^{54} -379.213 q^{55} +(-251.199 + 142.181i) q^{56} +(205.771 + 116.072i) q^{57} +(-92.6525 + 160.479i) q^{58} +386.742 q^{59} +(-1.71301 - 171.145i) q^{60} +35.6817 q^{61} -370.070 q^{62} +(5.73474 + 500.014i) q^{63} +151.514 q^{64} -609.701 q^{65} +(594.087 + 335.113i) q^{66} +35.7027 q^{67} +(214.157 - 370.931i) q^{68} +(8.00195 + 799.465i) q^{69} +(5.20500 - 608.832i) q^{70} -146.355 q^{71} +(203.066 - 368.567i) q^{72} +(-364.856 + 631.948i) q^{73} +(-487.396 - 844.195i) q^{74} +(135.903 + 76.6605i) q^{75} +(76.8367 + 133.085i) q^{76} +(621.012 + 365.655i) q^{77} +(955.177 + 538.798i) q^{78} +501.351 q^{79} +(-387.939 + 671.931i) q^{80} +(-389.477 - 616.238i) q^{81} +(38.1227 + 66.0304i) q^{82} +(169.622 - 293.794i) q^{83} +(-162.221 + 281.924i) q^{84} +(-617.477 - 1069.50i) q^{85} +(-80.7764 + 139.909i) q^{86} +(-2.85676 - 285.416i) q^{87} +(-303.232 - 525.214i) q^{88} +(-104.209 - 180.495i) q^{89} +(459.110 + 759.669i) q^{90} +(998.467 + 587.903i) q^{91} +(-260.026 + 450.378i) q^{92} +(490.781 - 289.940i) q^{93} -1304.74 q^{94} +443.085 q^{95} +(643.744 - 380.307i) q^{96} +(-56.7013 + 98.2095i) q^{97} +(-595.588 + 992.024i) q^{98} +(-1050.42 + 21.0297i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.37342 −1.19268 −0.596341 0.802731i \(-0.703379\pi\)
−0.596341 + 0.802731i \(0.703379\pi\)
\(3\) 4.47377 2.64298i 0.860978 0.508643i
\(4\) 3.37993 0.422491
\(5\) 4.87266 8.43970i 0.435824 0.754869i −0.561538 0.827451i \(-0.689790\pi\)
0.997363 + 0.0725813i \(0.0231237\pi\)
\(6\) −15.0919 + 8.91589i −1.02687 + 0.606649i
\(7\) −16.1176 + 9.12268i −0.870268 + 0.492578i
\(8\) 15.5854 0.688785
\(9\) 13.0293 23.6482i 0.482565 0.875860i
\(10\) −16.4375 + 28.4706i −0.519800 + 0.900319i
\(11\) −19.4562 33.6990i −0.533296 0.923695i −0.999244 0.0388830i \(-0.987620\pi\)
0.465948 0.884812i \(-0.345713\pi\)
\(12\) 15.1210 8.93310i 0.363755 0.214897i
\(13\) −31.2817 54.1816i −0.667384 1.15594i −0.978633 0.205615i \(-0.934081\pi\)
0.311249 0.950328i \(-0.399253\pi\)
\(14\) 54.3713 30.7746i 1.03795 0.587489i
\(15\) −0.506819 50.6356i −0.00872401 0.871604i
\(16\) −79.6155 −1.24399
\(17\) 63.3614 109.745i 0.903964 1.56571i 0.0816621 0.996660i \(-0.473977\pi\)
0.822302 0.569051i \(-0.192689\pi\)
\(18\) −43.9531 + 79.7753i −0.575547 + 1.04462i
\(19\) 22.7332 + 39.3751i 0.274493 + 0.475435i 0.970007 0.243077i \(-0.0781568\pi\)
−0.695514 + 0.718512i \(0.744823\pi\)
\(20\) 16.4692 28.5256i 0.184132 0.318926i
\(21\) −47.9953 + 83.4113i −0.498735 + 0.866754i
\(22\) 65.6337 + 113.681i 0.636052 + 1.10167i
\(23\) −76.9324 + 133.251i −0.697457 + 1.20803i 0.271889 + 0.962329i \(0.412352\pi\)
−0.969345 + 0.245702i \(0.920982\pi\)
\(24\) 69.7256 41.1920i 0.593028 0.350345i
\(25\) 15.0144 + 26.0056i 0.120115 + 0.208045i
\(26\) 105.526 + 182.777i 0.795977 + 1.37867i
\(27\) −4.21196 140.233i −0.0300219 0.999549i
\(28\) −54.4763 + 30.8340i −0.367681 + 0.208110i
\(29\) 27.4655 47.5716i 0.175869 0.304615i −0.764592 0.644514i \(-0.777060\pi\)
0.940462 + 0.339899i \(0.110393\pi\)
\(30\) 1.70971 + 170.815i 0.0104050 + 1.03955i
\(31\) 109.702 0.635581 0.317791 0.948161i \(-0.397059\pi\)
0.317791 + 0.948161i \(0.397059\pi\)
\(32\) 143.893 0.794903
\(33\) −176.108 99.3395i −0.928986 0.524024i
\(34\) −213.744 + 370.216i −1.07814 + 1.86740i
\(35\) −1.54295 + 180.479i −0.00745159 + 0.871616i
\(36\) 44.0380 79.9293i 0.203880 0.370043i
\(37\) 144.482 + 250.249i 0.641962 + 1.11191i 0.984994 + 0.172588i \(0.0552129\pi\)
−0.343032 + 0.939324i \(0.611454\pi\)
\(38\) −76.6886 132.829i −0.327383 0.567043i
\(39\) −283.148 159.719i −1.16256 0.655781i
\(40\) 75.9424 131.536i 0.300189 0.519942i
\(41\) −11.3009 19.5738i −0.0430465 0.0745587i 0.843699 0.536816i \(-0.180373\pi\)
−0.886746 + 0.462257i \(0.847040\pi\)
\(42\) 161.908 281.381i 0.594833 1.03376i
\(43\) 23.9450 41.4740i 0.0849204 0.147086i −0.820437 0.571737i \(-0.806270\pi\)
0.905357 + 0.424651i \(0.139603\pi\)
\(44\) −65.7604 113.900i −0.225313 0.390253i
\(45\) −136.097 225.193i −0.450846 0.745995i
\(46\) 259.525 449.510i 0.831845 1.44080i
\(47\) 386.770 1.20035 0.600173 0.799870i \(-0.295098\pi\)
0.600173 + 0.799870i \(0.295098\pi\)
\(48\) −356.182 + 210.423i −1.07105 + 0.632748i
\(49\) 176.554 294.071i 0.514733 0.857350i
\(50\) −50.6496 87.7278i −0.143259 0.248132i
\(51\) −6.59040 658.438i −0.0180949 1.80784i
\(52\) −105.730 183.130i −0.281964 0.488376i
\(53\) −133.617 + 231.431i −0.346296 + 0.599802i −0.985588 0.169162i \(-0.945894\pi\)
0.639293 + 0.768964i \(0.279227\pi\)
\(54\) 14.2087 + 473.064i 0.0358066 + 1.19214i
\(55\) −379.213 −0.929692
\(56\) −251.199 + 142.181i −0.599427 + 0.339280i
\(57\) 205.771 + 116.072i 0.478159 + 0.269720i
\(58\) −92.6525 + 160.479i −0.209756 + 0.363309i
\(59\) 386.742 0.853382 0.426691 0.904397i \(-0.359679\pi\)
0.426691 + 0.904397i \(0.359679\pi\)
\(60\) −1.71301 171.145i −0.00368582 0.368245i
\(61\) 35.6817 0.0748947 0.0374473 0.999299i \(-0.488077\pi\)
0.0374473 + 0.999299i \(0.488077\pi\)
\(62\) −370.070 −0.758047
\(63\) 5.73474 + 500.014i 0.0114684 + 0.999934i
\(64\) 151.514 0.295925
\(65\) −609.701 −1.16345
\(66\) 594.087 + 335.113i 1.10799 + 0.624994i
\(67\) 35.7027 0.0651011 0.0325506 0.999470i \(-0.489637\pi\)
0.0325506 + 0.999470i \(0.489637\pi\)
\(68\) 214.157 370.931i 0.381917 0.661499i
\(69\) 8.00195 + 799.465i 0.0139612 + 1.39484i
\(70\) 5.20500 608.832i 0.00888739 1.03956i
\(71\) −146.355 −0.244636 −0.122318 0.992491i \(-0.539033\pi\)
−0.122318 + 0.992491i \(0.539033\pi\)
\(72\) 203.066 368.567i 0.332383 0.603279i
\(73\) −364.856 + 631.948i −0.584974 + 1.01320i 0.409905 + 0.912128i \(0.365562\pi\)
−0.994879 + 0.101076i \(0.967771\pi\)
\(74\) −487.396 844.195i −0.765657 1.32616i
\(75\) 135.903 + 76.6605i 0.209237 + 0.118027i
\(76\) 76.8367 + 133.085i 0.115971 + 0.200867i
\(77\) 621.012 + 365.655i 0.919102 + 0.541173i
\(78\) 955.177 + 538.798i 1.38657 + 0.782139i
\(79\) 501.351 0.714005 0.357002 0.934103i \(-0.383799\pi\)
0.357002 + 0.934103i \(0.383799\pi\)
\(80\) −387.939 + 671.931i −0.542162 + 0.939052i
\(81\) −389.477 616.238i −0.534262 0.845319i
\(82\) 38.1227 + 66.0304i 0.0513408 + 0.0889249i
\(83\) 169.622 293.794i 0.224319 0.388532i −0.731796 0.681524i \(-0.761318\pi\)
0.956115 + 0.292992i \(0.0946510\pi\)
\(84\) −162.221 + 281.924i −0.210711 + 0.366196i
\(85\) −617.477 1069.50i −0.787938 1.36475i
\(86\) −80.7764 + 139.909i −0.101283 + 0.175427i
\(87\) −2.85676 285.416i −0.00352043 0.351721i
\(88\) −303.232 525.214i −0.367326 0.636227i
\(89\) −104.209 180.495i −0.124113 0.214971i 0.797273 0.603619i \(-0.206275\pi\)
−0.921386 + 0.388649i \(0.872942\pi\)
\(90\) 459.110 + 759.669i 0.537717 + 0.889735i
\(91\) 998.467 + 587.903i 1.15020 + 0.677242i
\(92\) −260.026 + 450.378i −0.294669 + 0.510382i
\(93\) 490.781 289.940i 0.547221 0.323284i
\(94\) −1304.74 −1.43163
\(95\) 443.085 0.478522
\(96\) 643.744 380.307i 0.684394 0.404322i
\(97\) −56.7013 + 98.2095i −0.0593520 + 0.102801i −0.894175 0.447718i \(-0.852237\pi\)
0.834823 + 0.550519i \(0.185570\pi\)
\(98\) −595.588 + 992.024i −0.613913 + 1.02255i
\(99\) −1050.42 + 21.0297i −1.06638 + 0.0213492i
\(100\) 50.7475 + 87.8972i 0.0507475 + 0.0878972i
\(101\) −539.004 933.582i −0.531019 0.919752i −0.999345 0.0361958i \(-0.988476\pi\)
0.468326 0.883556i \(-0.344857\pi\)
\(102\) 22.2321 + 2221.18i 0.0215815 + 2.15618i
\(103\) −855.186 + 1481.23i −0.818097 + 1.41699i 0.0889851 + 0.996033i \(0.471638\pi\)
−0.907082 + 0.420953i \(0.861696\pi\)
\(104\) −487.539 844.442i −0.459684 0.796196i
\(105\) 470.101 + 811.501i 0.436926 + 0.754232i
\(106\) 450.745 780.713i 0.413021 0.715373i
\(107\) −410.398 710.830i −0.370791 0.642229i 0.618896 0.785473i \(-0.287580\pi\)
−0.989687 + 0.143244i \(0.954247\pi\)
\(108\) −14.2361 473.977i −0.0126840 0.422301i
\(109\) 1064.55 1843.85i 0.935460 1.62026i 0.161648 0.986848i \(-0.448319\pi\)
0.773812 0.633416i \(-0.218348\pi\)
\(110\) 1279.24 1.10883
\(111\) 1307.78 + 737.696i 1.11828 + 0.630802i
\(112\) 1283.21 726.307i 1.08261 0.612764i
\(113\) 203.179 + 351.917i 0.169146 + 0.292970i 0.938120 0.346311i \(-0.112566\pi\)
−0.768974 + 0.639280i \(0.779232\pi\)
\(114\) −694.151 391.558i −0.570291 0.321691i
\(115\) 749.731 + 1298.57i 0.607937 + 1.05298i
\(116\) 92.8314 160.789i 0.0743033 0.128697i
\(117\) −1688.88 + 33.8118i −1.33450 + 0.0267171i
\(118\) −1304.64 −1.01781
\(119\) −20.0636 + 2346.85i −0.0154557 + 1.80786i
\(120\) −7.89899 789.178i −0.00600897 0.600348i
\(121\) −91.5839 + 158.628i −0.0688083 + 0.119180i
\(122\) −120.369 −0.0893256
\(123\) −102.291 57.7004i −0.0749858 0.0422981i
\(124\) 370.784 0.268528
\(125\) 1510.80 1.08104
\(126\) −19.3457 1686.76i −0.0136782 1.19260i
\(127\) −2300.05 −1.60706 −0.803529 0.595266i \(-0.797047\pi\)
−0.803529 + 0.595266i \(0.797047\pi\)
\(128\) −1662.26 −1.14785
\(129\) −2.49059 248.831i −0.00169988 0.169832i
\(130\) 2056.77 1.38762
\(131\) 291.851 505.501i 0.194650 0.337144i −0.752136 0.659008i \(-0.770976\pi\)
0.946786 + 0.321865i \(0.104310\pi\)
\(132\) −595.234 335.761i −0.392489 0.221395i
\(133\) −725.611 427.244i −0.473071 0.278547i
\(134\) −120.440 −0.0776449
\(135\) −1204.05 647.760i −0.767613 0.412965i
\(136\) 987.513 1710.42i 0.622636 1.07844i
\(137\) 84.3990 + 146.183i 0.0526328 + 0.0911626i 0.891141 0.453726i \(-0.149905\pi\)
−0.838509 + 0.544888i \(0.816572\pi\)
\(138\) −26.9939 2696.93i −0.0166513 1.66361i
\(139\) 671.306 + 1162.74i 0.409636 + 0.709511i 0.994849 0.101369i \(-0.0323223\pi\)
−0.585213 + 0.810880i \(0.698989\pi\)
\(140\) −5.21506 + 610.007i −0.00314823 + 0.368250i
\(141\) 1730.32 1022.23i 1.03347 0.610547i
\(142\) 493.716 0.291773
\(143\) −1217.24 + 2108.33i −0.711826 + 1.23292i
\(144\) −1037.33 + 1882.77i −0.600307 + 1.08956i
\(145\) −267.660 463.601i −0.153296 0.265517i
\(146\) 1230.81 2131.82i 0.697688 1.20843i
\(147\) 12.6347 1782.24i 0.00708906 0.999975i
\(148\) 488.337 + 845.825i 0.271223 + 0.469773i
\(149\) 360.679 624.715i 0.198309 0.343481i −0.749671 0.661810i \(-0.769788\pi\)
0.947980 + 0.318329i \(0.103122\pi\)
\(150\) −458.458 258.608i −0.249553 0.140768i
\(151\) 1433.51 + 2482.90i 0.772563 + 1.33812i 0.936154 + 0.351590i \(0.114359\pi\)
−0.163591 + 0.986528i \(0.552308\pi\)
\(152\) 354.307 + 613.677i 0.189066 + 0.327472i
\(153\) −1769.72 2928.28i −0.935123 1.54730i
\(154\) −2094.93 1233.51i −1.09620 0.645447i
\(155\) 534.540 925.850i 0.277002 0.479781i
\(156\) −957.021 539.838i −0.491173 0.277062i
\(157\) −750.193 −0.381350 −0.190675 0.981653i \(-0.561068\pi\)
−0.190675 + 0.981653i \(0.561068\pi\)
\(158\) −1691.26 −0.851581
\(159\) 13.8979 + 1388.52i 0.00693190 + 0.692557i
\(160\) 701.141 1214.41i 0.346438 0.600048i
\(161\) 24.3610 2849.51i 0.0119249 1.39486i
\(162\) 1313.87 + 2078.83i 0.637204 + 1.00820i
\(163\) 1400.06 + 2424.98i 0.672769 + 1.16527i 0.977116 + 0.212709i \(0.0682285\pi\)
−0.304347 + 0.952561i \(0.598438\pi\)
\(164\) −38.1963 66.1579i −0.0181868 0.0315004i
\(165\) −1696.51 + 1002.25i −0.800444 + 0.472881i
\(166\) −572.206 + 991.090i −0.267541 + 0.463395i
\(167\) −0.0790177 0.136863i −3.66142e−5 6.34176e-5i 0.866007 0.500032i \(-0.166678\pi\)
−0.866044 + 0.499968i \(0.833345\pi\)
\(168\) −748.027 + 1300.00i −0.343521 + 0.597007i
\(169\) −858.594 + 1487.13i −0.390803 + 0.676890i
\(170\) 2083.01 + 3607.87i 0.939760 + 1.62771i
\(171\) 1227.35 24.5719i 0.548875 0.0109886i
\(172\) 80.9324 140.179i 0.0358781 0.0621427i
\(173\) 1262.62 0.554885 0.277443 0.960742i \(-0.410513\pi\)
0.277443 + 0.960742i \(0.410513\pi\)
\(174\) 9.63705 + 962.825i 0.00419875 + 0.419492i
\(175\) −479.236 282.177i −0.207011 0.121889i
\(176\) 1549.01 + 2682.97i 0.663416 + 1.14907i
\(177\) 1730.20 1022.15i 0.734743 0.434067i
\(178\) 351.539 + 608.884i 0.148028 + 0.256392i
\(179\) 1457.18 2523.91i 0.608462 1.05389i −0.383032 0.923735i \(-0.625120\pi\)
0.991494 0.130152i \(-0.0415465\pi\)
\(180\) −459.997 761.136i −0.190479 0.315176i
\(181\) 870.971 0.357673 0.178836 0.983879i \(-0.442767\pi\)
0.178836 + 0.983879i \(0.442767\pi\)
\(182\) −3368.24 1983.24i −1.37182 0.807734i
\(183\) 159.632 94.3062i 0.0644827 0.0380946i
\(184\) −1199.02 + 2076.77i −0.480398 + 0.832073i
\(185\) 2816.04 1.11913
\(186\) −1655.61 + 978.089i −0.652661 + 0.385575i
\(187\) −4931.07 −1.92832
\(188\) 1307.26 0.507135
\(189\) 1347.19 + 2221.79i 0.518483 + 0.855088i
\(190\) −1494.71 −0.570725
\(191\) 3177.67 1.20381 0.601907 0.798566i \(-0.294408\pi\)
0.601907 + 0.798566i \(0.294408\pi\)
\(192\) 677.838 400.449i 0.254785 0.150520i
\(193\) −1702.98 −0.635148 −0.317574 0.948234i \(-0.602868\pi\)
−0.317574 + 0.948234i \(0.602868\pi\)
\(194\) 191.277 331.301i 0.0707880 0.122608i
\(195\) −2727.66 + 1611.43i −1.00170 + 0.591779i
\(196\) 596.739 993.940i 0.217470 0.362223i
\(197\) 254.870 0.0921763 0.0460881 0.998937i \(-0.485324\pi\)
0.0460881 + 0.998937i \(0.485324\pi\)
\(198\) 3543.51 70.9421i 1.27185 0.0254628i
\(199\) −386.703 + 669.790i −0.137752 + 0.238594i −0.926645 0.375937i \(-0.877321\pi\)
0.788893 + 0.614530i \(0.210654\pi\)
\(200\) 234.005 + 405.308i 0.0827332 + 0.143298i
\(201\) 159.726 94.3616i 0.0560506 0.0331132i
\(202\) 1818.28 + 3149.36i 0.633337 + 1.09697i
\(203\) −8.69706 + 1017.30i −0.00300697 + 0.351726i
\(204\) −22.2751 2225.47i −0.00764494 0.763795i
\(205\) −220.262 −0.0750428
\(206\) 2884.90 4996.79i 0.975730 1.69001i
\(207\) 2148.77 + 3555.47i 0.721497 + 1.19383i
\(208\) 2490.51 + 4313.69i 0.830221 + 1.43798i
\(209\) 884.602 1532.18i 0.292771 0.507095i
\(210\) −1585.85 2737.53i −0.521113 0.899560i
\(211\) −1834.55 3177.54i −0.598558 1.03673i −0.993034 0.117827i \(-0.962407\pi\)
0.394476 0.918906i \(-0.370926\pi\)
\(212\) −451.615 + 782.220i −0.146307 + 0.253411i
\(213\) −654.759 + 386.814i −0.210626 + 0.124432i
\(214\) 1384.44 + 2397.92i 0.442236 + 0.765975i
\(215\) −233.352 404.177i −0.0740207 0.128208i
\(216\) −65.6451 2185.59i −0.0206786 0.688474i
\(217\) −1768.13 + 1000.77i −0.553126 + 0.313074i
\(218\) −3591.16 + 6220.07i −1.11571 + 1.93246i
\(219\) 37.9497 + 3791.50i 0.0117096 + 1.16989i
\(220\) −1281.71 −0.392787
\(221\) −7928.21 −2.41316
\(222\) −4411.69 2488.55i −1.33375 0.752346i
\(223\) 1002.18 1735.83i 0.300947 0.521256i −0.675404 0.737448i \(-0.736031\pi\)
0.976351 + 0.216192i \(0.0693639\pi\)
\(224\) −2319.21 + 1312.69i −0.691779 + 0.391552i
\(225\) 810.613 16.2287i 0.240182 0.00480850i
\(226\) −685.409 1187.16i −0.201738 0.349420i
\(227\) 1698.01 + 2941.04i 0.496479 + 0.859927i 0.999992 0.00406099i \(-0.00129266\pi\)
−0.503513 + 0.863988i \(0.667959\pi\)
\(228\) 695.492 + 392.314i 0.202018 + 0.113954i
\(229\) 2576.89 4463.31i 0.743606 1.28796i −0.207237 0.978291i \(-0.566447\pi\)
0.950843 0.309673i \(-0.100220\pi\)
\(230\) −2529.15 4380.62i −0.725076 1.25587i
\(231\) 3744.69 5.46667i 1.06659 0.00155706i
\(232\) 428.061 741.424i 0.121136 0.209814i
\(233\) −3053.12 5288.16i −0.858441 1.48686i −0.873416 0.486976i \(-0.838100\pi\)
0.0149746 0.999888i \(-0.495233\pi\)
\(234\) 5697.28 114.061i 1.59164 0.0318650i
\(235\) 1884.60 3264.22i 0.523139 0.906104i
\(236\) 1307.16 0.360546
\(237\) 2242.93 1325.06i 0.614742 0.363173i
\(238\) 67.6830 7916.91i 0.0184338 2.15620i
\(239\) −1301.70 2254.62i −0.352302 0.610205i 0.634350 0.773046i \(-0.281268\pi\)
−0.986652 + 0.162840i \(0.947934\pi\)
\(240\) 40.3507 + 4031.38i 0.0108526 + 1.08427i
\(241\) −1161.13 2011.14i −0.310354 0.537548i 0.668085 0.744085i \(-0.267114\pi\)
−0.978439 + 0.206536i \(0.933781\pi\)
\(242\) 308.950 535.118i 0.0820665 0.142143i
\(243\) −3371.14 1727.53i −0.889953 0.456053i
\(244\) 120.602 0.0316423
\(245\) −1621.59 2922.97i −0.422854 0.762210i
\(246\) 345.070 + 194.647i 0.0894343 + 0.0504482i
\(247\) 1422.27 2463.44i 0.366384 0.634596i
\(248\) 1709.75 0.437779
\(249\) −17.6429 1762.68i −0.00449025 0.448615i
\(250\) −5096.57 −1.28934
\(251\) −476.889 −0.119924 −0.0599621 0.998201i \(-0.519098\pi\)
−0.0599621 + 0.998201i \(0.519098\pi\)
\(252\) 19.3830 + 1690.01i 0.00484530 + 0.422463i
\(253\) 5987.23 1.48780
\(254\) 7759.02 1.91671
\(255\) −5589.13 3152.72i −1.37257 0.774240i
\(256\) 4395.39 1.07309
\(257\) −1868.42 + 3236.21i −0.453499 + 0.785483i −0.998600 0.0528872i \(-0.983158\pi\)
0.545102 + 0.838370i \(0.316491\pi\)
\(258\) 8.40179 + 839.411i 0.00202741 + 0.202556i
\(259\) −4611.64 2715.36i −1.10638 0.651445i
\(260\) −2060.75 −0.491546
\(261\) −767.129 1269.33i −0.181932 0.301034i
\(262\) −984.535 + 1705.26i −0.232156 + 0.402105i
\(263\) −504.567 873.935i −0.118300 0.204902i 0.800794 0.598940i \(-0.204411\pi\)
−0.919094 + 0.394038i \(0.871078\pi\)
\(264\) −2744.72 1548.25i −0.639871 0.360940i
\(265\) 1302.14 + 2255.37i 0.301848 + 0.522816i
\(266\) 2447.79 + 1441.27i 0.564224 + 0.332218i
\(267\) −943.251 532.070i −0.216202 0.121956i
\(268\) 120.672 0.0275046
\(269\) −4069.36 + 7048.33i −0.922354 + 1.59756i −0.126591 + 0.991955i \(0.540403\pi\)
−0.795763 + 0.605608i \(0.792930\pi\)
\(270\) 4061.75 + 2185.16i 0.915519 + 0.492536i
\(271\) 3384.69 + 5862.46i 0.758692 + 1.31409i 0.943518 + 0.331321i \(0.107494\pi\)
−0.184826 + 0.982771i \(0.559172\pi\)
\(272\) −5044.55 + 8737.41i −1.12452 + 1.94773i
\(273\) 6020.73 8.78935i 1.33477 0.00194856i
\(274\) −284.713 493.137i −0.0627742 0.108728i
\(275\) 584.243 1011.94i 0.128113 0.221899i
\(276\) 27.0460 + 2702.13i 0.00589848 + 0.589309i
\(277\) 3259.50 + 5645.62i 0.707019 + 1.22459i 0.965958 + 0.258700i \(0.0832940\pi\)
−0.258939 + 0.965894i \(0.583373\pi\)
\(278\) −2264.59 3922.39i −0.488566 0.846221i
\(279\) 1429.33 2594.25i 0.306709 0.556680i
\(280\) −24.0475 + 2812.84i −0.00513254 + 0.600356i
\(281\) −3138.53 + 5436.10i −0.666296 + 1.15406i 0.312636 + 0.949873i \(0.398788\pi\)
−0.978932 + 0.204185i \(0.934545\pi\)
\(282\) −5837.09 + 3448.40i −1.23260 + 0.728189i
\(283\) 806.332 0.169369 0.0846845 0.996408i \(-0.473012\pi\)
0.0846845 + 0.996408i \(0.473012\pi\)
\(284\) −494.670 −0.103357
\(285\) 1982.26 1171.07i 0.411997 0.243397i
\(286\) 4106.27 7112.27i 0.848982 1.47048i
\(287\) 360.709 + 212.387i 0.0741880 + 0.0436823i
\(288\) 1874.82 3402.81i 0.383593 0.696224i
\(289\) −5572.82 9652.42i −1.13430 1.96467i
\(290\) 902.929 + 1563.92i 0.182834 + 0.316677i
\(291\) 5.89766 + 589.227i 0.00118807 + 0.118698i
\(292\) −1233.19 + 2135.94i −0.247146 + 0.428070i
\(293\) 3084.92 + 5343.24i 0.615095 + 1.06538i 0.990368 + 0.138462i \(0.0442158\pi\)
−0.375272 + 0.926915i \(0.622451\pi\)
\(294\) −42.6220 + 6012.22i −0.00845499 + 1.19265i
\(295\) 1884.46 3263.99i 0.371924 0.644192i
\(296\) 2251.80 + 3900.24i 0.442174 + 0.765868i
\(297\) −4643.77 + 2870.33i −0.907268 + 0.560786i
\(298\) −1216.72 + 2107.42i −0.236519 + 0.409664i
\(299\) 9626.31 1.86189
\(300\) 459.343 + 259.107i 0.0884007 + 0.0498652i
\(301\) −7.58228 + 886.903i −0.00145195 + 0.169835i
\(302\) −4835.81 8375.87i −0.921423 1.59595i
\(303\) −4878.82 2752.05i −0.925020 0.521787i
\(304\) −1809.92 3134.87i −0.341467 0.591438i
\(305\) 173.865 301.143i 0.0326409 0.0565357i
\(306\) 5970.02 + 9878.31i 1.11530 + 1.84544i
\(307\) 4381.77 0.814596 0.407298 0.913295i \(-0.366471\pi\)
0.407298 + 0.913295i \(0.366471\pi\)
\(308\) 2098.98 + 1235.89i 0.388313 + 0.228641i
\(309\) 88.9504 + 8886.91i 0.0163761 + 1.63611i
\(310\) −1803.22 + 3123.28i −0.330375 + 0.572226i
\(311\) −8462.60 −1.54299 −0.771495 0.636235i \(-0.780491\pi\)
−0.771495 + 0.636235i \(0.780491\pi\)
\(312\) −4412.98 2489.28i −0.800757 0.451692i
\(313\) 5820.47 1.05109 0.525547 0.850765i \(-0.323861\pi\)
0.525547 + 0.850765i \(0.323861\pi\)
\(314\) 2530.71 0.454829
\(315\) 4247.91 + 2388.00i 0.759818 + 0.427138i
\(316\) 1694.53 0.301661
\(317\) −6415.18 −1.13663 −0.568316 0.822810i \(-0.692405\pi\)
−0.568316 + 0.822810i \(0.692405\pi\)
\(318\) −46.8832 4684.04i −0.00826755 0.826000i
\(319\) −2137.49 −0.375162
\(320\) 738.275 1278.73i 0.128971 0.223385i
\(321\) −3714.74 2095.41i −0.645908 0.364345i
\(322\) −82.1796 + 9612.58i −0.0142226 + 1.66363i
\(323\) 5761.63 0.992526
\(324\) −1316.40 2082.84i −0.225721 0.357140i
\(325\) 939.350 1627.00i 0.160325 0.277692i
\(326\) −4722.99 8180.46i −0.802400 1.38980i
\(327\) −110.727 11062.5i −0.0187254 1.87083i
\(328\) −176.130 305.065i −0.0296498 0.0513549i
\(329\) −6233.81 + 3528.38i −1.04462 + 0.591264i
\(330\) 5723.04 3381.02i 0.954676 0.563997i
\(331\) −828.837 −0.137634 −0.0688172 0.997629i \(-0.521923\pi\)
−0.0688172 + 0.997629i \(0.521923\pi\)
\(332\) 573.311 993.004i 0.0947727 0.164151i
\(333\) 7800.44 156.167i 1.28367 0.0256994i
\(334\) 0.266559 + 0.461694i 4.36691e−5 + 7.56371e-5i
\(335\) 173.967 301.320i 0.0283726 0.0491428i
\(336\) 3821.17 6640.84i 0.620423 1.07824i
\(337\) −2906.88 5034.86i −0.469875 0.813847i 0.529532 0.848290i \(-0.322368\pi\)
−0.999407 + 0.0344432i \(0.989034\pi\)
\(338\) 2896.39 5016.70i 0.466104 0.807315i
\(339\) 1839.09 + 1037.40i 0.294648 + 0.166205i
\(340\) −2087.03 3614.84i −0.332897 0.576595i
\(341\) −2134.37 3696.85i −0.338953 0.587083i
\(342\) −4140.36 + 82.8911i −0.654634 + 0.0131060i
\(343\) −162.903 + 6350.36i −0.0256441 + 0.999671i
\(344\) 373.193 646.389i 0.0584919 0.101311i
\(345\) 6786.23 + 3827.99i 1.05901 + 0.597368i
\(346\) −4259.34 −0.661802
\(347\) 3322.93 0.514075 0.257038 0.966401i \(-0.417254\pi\)
0.257038 + 0.966401i \(0.417254\pi\)
\(348\) −9.65566 964.684i −0.00148735 0.148599i
\(349\) −376.201 + 651.599i −0.0577008 + 0.0999407i −0.893433 0.449197i \(-0.851710\pi\)
0.835732 + 0.549137i \(0.185044\pi\)
\(350\) 1616.66 + 951.900i 0.246898 + 0.145375i
\(351\) −7466.28 + 4614.94i −1.13539 + 0.701787i
\(352\) −2799.60 4849.05i −0.423918 0.734248i
\(353\) 1106.83 + 1917.08i 0.166885 + 0.289054i 0.937323 0.348461i \(-0.113296\pi\)
−0.770438 + 0.637515i \(0.779962\pi\)
\(354\) −5836.67 + 3448.15i −0.876315 + 0.517704i
\(355\) −713.139 + 1235.19i −0.106618 + 0.184668i
\(356\) −352.218 610.060i −0.0524368 0.0908233i
\(357\) 6112.93 + 10552.3i 0.906249 + 1.56439i
\(358\) −4915.67 + 8514.19i −0.725702 + 1.25695i
\(359\) −435.090 753.599i −0.0639643 0.110789i 0.832270 0.554371i \(-0.187041\pi\)
−0.896234 + 0.443581i \(0.853708\pi\)
\(360\) −2121.12 3509.72i −0.310536 0.513830i
\(361\) 2395.90 4149.82i 0.349308 0.605018i
\(362\) −2938.15 −0.426590
\(363\) 9.52590 + 951.720i 0.00137736 + 0.137610i
\(364\) 3374.75 + 1987.07i 0.485947 + 0.286129i
\(365\) 3555.63 + 6158.54i 0.509892 + 0.883158i
\(366\) −538.504 + 318.134i −0.0769073 + 0.0454348i
\(367\) 1264.33 + 2189.89i 0.179830 + 0.311475i 0.941822 0.336111i \(-0.109112\pi\)
−0.761992 + 0.647586i \(0.775779\pi\)
\(368\) 6125.01 10608.8i 0.867631 1.50278i
\(369\) −610.127 + 12.2149i −0.0860758 + 0.00172326i
\(370\) −9499.66 −1.33477
\(371\) 42.3103 4949.05i 0.00592087 0.692566i
\(372\) 1658.80 979.977i 0.231196 0.136585i
\(373\) −2685.29 + 4651.06i −0.372759 + 0.645637i −0.989989 0.141145i \(-0.954921\pi\)
0.617230 + 0.786783i \(0.288255\pi\)
\(374\) 16634.6 2.29987
\(375\) 6758.99 3993.03i 0.930755 0.549865i
\(376\) 6027.98 0.826780
\(377\) −3436.67 −0.469490
\(378\) −4544.62 7495.03i −0.618386 1.01985i
\(379\) −9923.53 −1.34495 −0.672477 0.740118i \(-0.734770\pi\)
−0.672477 + 0.740118i \(0.734770\pi\)
\(380\) 1497.60 0.202171
\(381\) −10289.9 + 6078.99i −1.38364 + 0.817418i
\(382\) −10719.6 −1.43577
\(383\) −5593.82 + 9688.78i −0.746295 + 1.29262i 0.203293 + 0.979118i \(0.434836\pi\)
−0.949587 + 0.313503i \(0.898498\pi\)
\(384\) −7436.58 + 4393.33i −0.988272 + 0.583845i
\(385\) 6112.00 3459.44i 0.809081 0.457946i
\(386\) 5744.87 0.757529
\(387\) −668.800 1106.63i −0.0878475 0.145357i
\(388\) −191.646 + 331.941i −0.0250757 + 0.0434324i
\(389\) 841.686 + 1457.84i 0.109705 + 0.190014i 0.915651 0.401975i \(-0.131676\pi\)
−0.805946 + 0.591989i \(0.798343\pi\)
\(390\) 9201.54 5436.03i 1.19471 0.705805i
\(391\) 9749.08 + 16885.9i 1.26095 + 2.18403i
\(392\) 2751.66 4583.22i 0.354540 0.590530i
\(393\) −30.3563 3032.85i −0.00389636 0.389280i
\(394\) −859.782 −0.109937
\(395\) 2442.91 4231.25i 0.311180 0.538980i
\(396\) −3550.35 + 71.0791i −0.450535 + 0.00901984i
\(397\) −1775.41 3075.09i −0.224446 0.388752i 0.731707 0.681619i \(-0.238724\pi\)
−0.956153 + 0.292867i \(0.905391\pi\)
\(398\) 1304.51 2259.48i 0.164295 0.284566i
\(399\) −4375.42 + 6.38744i −0.548985 + 0.000801434i
\(400\) −1195.38 2070.45i −0.149422 0.258806i
\(401\) 1900.83 3292.34i 0.236716 0.410004i −0.723054 0.690791i \(-0.757262\pi\)
0.959770 + 0.280788i \(0.0905957\pi\)
\(402\) −538.821 + 318.321i −0.0668506 + 0.0394935i
\(403\) −3431.66 5943.81i −0.424177 0.734696i
\(404\) −1821.80 3155.44i −0.224351 0.388587i
\(405\) −7098.65 + 284.348i −0.870950 + 0.0348873i
\(406\) 29.3388 3431.77i 0.00358636 0.419498i
\(407\) 5622.11 9737.78i 0.684712 1.18596i
\(408\) −102.714 10262.0i −0.0124635 1.24521i
\(409\) 13244.8 1.60125 0.800626 0.599164i \(-0.204500\pi\)
0.800626 + 0.599164i \(0.204500\pi\)
\(410\) 743.036 0.0895022
\(411\) 763.942 + 430.925i 0.0916849 + 0.0517177i
\(412\) −2890.47 + 5006.44i −0.345639 + 0.598664i
\(413\) −6233.35 + 3528.12i −0.742671 + 0.420357i
\(414\) −7248.70 11994.1i −0.860517 1.42386i
\(415\) −1653.02 2863.12i −0.195527 0.338663i
\(416\) −4501.22 7796.34i −0.530506 0.918863i
\(417\) 6076.37 + 3427.57i 0.713575 + 0.402515i
\(418\) −2984.13 + 5168.67i −0.349183 + 0.604803i
\(419\) 1435.52 + 2486.39i 0.167374 + 0.289900i 0.937496 0.347997i \(-0.113138\pi\)
−0.770122 + 0.637897i \(0.779805\pi\)
\(420\) 1588.91 + 2742.82i 0.184597 + 0.318656i
\(421\) −441.098 + 764.004i −0.0510637 + 0.0884449i −0.890427 0.455125i \(-0.849594\pi\)
0.839364 + 0.543570i \(0.182928\pi\)
\(422\) 6188.70 + 10719.1i 0.713890 + 1.23649i
\(423\) 5039.33 9146.43i 0.579245 1.05133i
\(424\) −2082.47 + 3606.95i −0.238523 + 0.413134i
\(425\) 3805.32 0.434318
\(426\) 2208.77 1304.89i 0.251210 0.148408i
\(427\) −575.103 + 325.513i −0.0651785 + 0.0368915i
\(428\) −1387.12 2402.55i −0.156656 0.271336i
\(429\) 126.609 + 12649.3i 0.0142488 + 1.42358i
\(430\) 787.192 + 1363.46i 0.0882832 + 0.152911i
\(431\) −4337.40 + 7512.59i −0.484745 + 0.839603i −0.999846 0.0175265i \(-0.994421\pi\)
0.515102 + 0.857129i \(0.327754\pi\)
\(432\) 335.337 + 11164.7i 0.0373470 + 1.24343i
\(433\) −10521.0 −1.16769 −0.583843 0.811866i \(-0.698452\pi\)
−0.583843 + 0.811866i \(0.698452\pi\)
\(434\) 5964.63 3376.03i 0.659704 0.373397i
\(435\) −2422.74 1366.62i −0.267038 0.150631i
\(436\) 3598.09 6232.08i 0.395224 0.684547i
\(437\) −6995.68 −0.765787
\(438\) −128.020 12790.3i −0.0139658 1.39531i
\(439\) −11207.0 −1.21841 −0.609205 0.793013i \(-0.708511\pi\)
−0.609205 + 0.793013i \(0.708511\pi\)
\(440\) −5910.19 −0.640358
\(441\) −4653.90 8006.71i −0.502526 0.864562i
\(442\) 26745.2 2.87814
\(443\) −2560.78 −0.274642 −0.137321 0.990527i \(-0.543849\pi\)
−0.137321 + 0.990527i \(0.543849\pi\)
\(444\) 4420.21 + 2493.36i 0.472464 + 0.266508i
\(445\) −2031.09 −0.216367
\(446\) −3380.78 + 5855.69i −0.358934 + 0.621693i
\(447\) −37.5153 3748.10i −0.00396960 0.396598i
\(448\) −2442.04 + 1382.21i −0.257534 + 0.145766i
\(449\) 10296.7 1.08225 0.541126 0.840941i \(-0.317998\pi\)
0.541126 + 0.840941i \(0.317998\pi\)
\(450\) −2734.53 + 54.7461i −0.286460 + 0.00573502i
\(451\) −439.745 + 761.660i −0.0459130 + 0.0795237i
\(452\) 686.732 + 1189.46i 0.0714628 + 0.123777i
\(453\) 12975.5 + 7319.21i 1.34578 + 0.759132i
\(454\) −5728.08 9921.33i −0.592142 1.02562i
\(455\) 9826.91 5562.11i 1.01251 0.573089i
\(456\) 3207.03 + 1809.02i 0.329348 + 0.185779i
\(457\) 14364.8 1.47037 0.735184 0.677868i \(-0.237096\pi\)
0.735184 + 0.677868i \(0.237096\pi\)
\(458\) −8692.93 + 15056.6i −0.886886 + 1.53613i
\(459\) −15656.7 8423.10i −1.59214 0.856551i
\(460\) 2534.04 + 4389.08i 0.256848 + 0.444874i
\(461\) −2747.56 + 4758.92i −0.277585 + 0.480792i −0.970784 0.239955i \(-0.922867\pi\)
0.693199 + 0.720746i \(0.256201\pi\)
\(462\) −12632.4 + 18.4413i −1.27210 + 0.00185708i
\(463\) 3667.94 + 6353.05i 0.368172 + 0.637692i 0.989280 0.146033i \(-0.0466506\pi\)
−0.621108 + 0.783725i \(0.713317\pi\)
\(464\) −2186.68 + 3787.44i −0.218780 + 0.378939i
\(465\) −55.5990 5554.82i −0.00554482 0.553976i
\(466\) 10299.5 + 17839.2i 1.02385 + 1.77336i
\(467\) 1503.29 + 2603.77i 0.148959 + 0.258004i 0.930843 0.365420i \(-0.119074\pi\)
−0.781884 + 0.623424i \(0.785741\pi\)
\(468\) −5708.28 + 114.281i −0.563815 + 0.0112877i
\(469\) −575.441 + 325.704i −0.0566554 + 0.0320674i
\(470\) −6357.54 + 11011.6i −0.623939 + 1.08069i
\(471\) −3356.19 + 1982.75i −0.328334 + 0.193971i
\(472\) 6027.54 0.587796
\(473\) −1863.51 −0.181151
\(474\) −7566.33 + 4469.99i −0.733192 + 0.433150i
\(475\) −682.649 + 1182.38i −0.0659413 + 0.114214i
\(476\) −67.8137 + 7932.19i −0.00652990 + 0.763806i
\(477\) 3732.00 + 6175.17i 0.358232 + 0.592750i
\(478\) 4391.19 + 7605.76i 0.420185 + 0.727781i
\(479\) −5301.89 9183.14i −0.505740 0.875968i −0.999978 0.00664089i \(-0.997886\pi\)
0.494238 0.869327i \(-0.335447\pi\)
\(480\) −72.9277 7286.11i −0.00693474 0.692841i
\(481\) 9039.26 15656.5i 0.856871 1.48414i
\(482\) 3916.99 + 6784.42i 0.370153 + 0.641124i
\(483\) −7422.23 12812.4i −0.699220 1.20701i
\(484\) −309.547 + 536.151i −0.0290709 + 0.0503523i
\(485\) 552.572 + 957.083i 0.0517340 + 0.0896060i
\(486\) 11372.2 + 5827.66i 1.06143 + 0.543926i
\(487\) 7160.77 12402.8i 0.666294 1.15406i −0.312638 0.949872i \(-0.601213\pi\)
0.978933 0.204183i \(-0.0654538\pi\)
\(488\) 556.114 0.0515863
\(489\) 12672.7 + 7148.46i 1.17194 + 0.661072i
\(490\) 5470.28 + 9860.38i 0.504331 + 0.909075i
\(491\) −2111.73 3657.62i −0.194096 0.336184i 0.752508 0.658583i \(-0.228844\pi\)
−0.946604 + 0.322399i \(0.895511\pi\)
\(492\) −345.736 195.023i −0.0316809 0.0178706i
\(493\) −3480.50 6028.41i −0.317959 0.550722i
\(494\) −4797.91 + 8310.22i −0.436980 + 0.756871i
\(495\) −4940.86 + 8967.71i −0.448637 + 0.814280i
\(496\) −8733.96 −0.790658
\(497\) 2358.89 1335.15i 0.212899 0.120502i
\(498\) 59.5168 + 5946.25i 0.00535545 + 0.535055i
\(499\) −9348.72 + 16192.5i −0.838690 + 1.45265i 0.0523011 + 0.998631i \(0.483344\pi\)
−0.890991 + 0.454022i \(0.849989\pi\)
\(500\) 5106.41 0.456731
\(501\) −0.715233 0.403449i −6.37809e−5 3.59776e-5i
\(502\) 1608.74 0.143031
\(503\) −7096.25 −0.629038 −0.314519 0.949251i \(-0.601843\pi\)
−0.314519 + 0.949251i \(0.601843\pi\)
\(504\) 89.3783 + 7792.93i 0.00789926 + 0.688739i
\(505\) −10505.5 −0.925723
\(506\) −20197.4 −1.77448
\(507\) 89.3048 + 8922.32i 0.00782281 + 0.781566i
\(508\) −7774.00 −0.678967
\(509\) 3209.87 5559.65i 0.279518 0.484140i −0.691747 0.722140i \(-0.743159\pi\)
0.971265 + 0.238000i \(0.0764919\pi\)
\(510\) 18854.4 + 10635.4i 1.63704 + 0.923422i
\(511\) 115.533 13513.9i 0.0100017 1.16991i
\(512\) −1529.38 −0.132011
\(513\) 5425.93 3353.79i 0.466980 0.288642i
\(514\) 6302.97 10917.1i 0.540880 0.936831i
\(515\) 8334.07 + 14435.0i 0.713093 + 1.23511i
\(516\) −8.41801 841.032i −0.000718183 0.0717527i
\(517\) −7525.06 13033.8i −0.640139 1.10875i
\(518\) 15557.0 + 9160.03i 1.31956 + 0.776966i
\(519\) 5648.67 3337.08i 0.477744 0.282238i
\(520\) −9502.45 −0.801365
\(521\) 4877.13 8447.45i 0.410117 0.710344i −0.584785 0.811188i \(-0.698821\pi\)
0.994902 + 0.100844i \(0.0321544\pi\)
\(522\) 2587.85 + 4281.99i 0.216986 + 0.359037i
\(523\) −2134.28 3696.68i −0.178443 0.309072i 0.762905 0.646511i \(-0.223773\pi\)
−0.941347 + 0.337439i \(0.890439\pi\)
\(524\) 986.436 1708.56i 0.0822379 0.142440i
\(525\) −2889.78 + 4.21864i −0.240229 + 0.000350698i
\(526\) 1702.11 + 2948.15i 0.141094 + 0.244383i
\(527\) 6950.86 12039.2i 0.574543 0.995137i
\(528\) 14021.0 + 7908.97i 1.15565 + 0.651882i
\(529\) −5753.68 9965.67i −0.472892 0.819073i
\(530\) −4392.65 7608.30i −0.360009 0.623553i
\(531\) 5038.96 9145.76i 0.411813 0.747443i
\(532\) −2452.51 1444.05i −0.199868 0.117684i
\(533\) −707.025 + 1224.60i −0.0574571 + 0.0995186i
\(534\) 3181.98 + 1794.89i 0.257861 + 0.145454i
\(535\) −7998.92 −0.646399
\(536\) 556.441 0.0448406
\(537\) −151.565 15142.7i −0.0121798 1.21686i
\(538\) 13727.6 23777.0i 1.10007 1.90539i
\(539\) −13345.0 228.194i −1.06644 0.0182356i
\(540\) −4069.59 2189.38i −0.324310 0.174474i
\(541\) 10185.3 + 17641.4i 0.809426 + 1.40197i 0.913262 + 0.407373i \(0.133555\pi\)
−0.103836 + 0.994594i \(0.533112\pi\)
\(542\) −11418.0 19776.5i −0.904878 1.56729i
\(543\) 3896.53 2301.96i 0.307948 0.181928i
\(544\) 9117.25 15791.5i 0.718564 1.24459i
\(545\) −10374.4 17968.9i −0.815392 1.41230i
\(546\) −20310.4 + 29.6501i −1.59195 + 0.00232401i
\(547\) −1046.82 + 1813.14i −0.0818258 + 0.141726i −0.904034 0.427460i \(-0.859408\pi\)
0.822208 + 0.569187i \(0.192742\pi\)
\(548\) 285.263 + 494.089i 0.0222369 + 0.0385154i
\(549\) 464.906 843.809i 0.0361416 0.0655973i
\(550\) −1970.89 + 3413.69i −0.152799 + 0.264655i
\(551\) 2497.52 0.193100
\(552\) 124.714 + 12460.0i 0.00961625 + 0.960747i
\(553\) −8080.57 + 4573.66i −0.621376 + 0.351703i
\(554\) −10995.6 19045.0i −0.843249 1.46055i
\(555\) 12598.3 7442.74i 0.963547 0.569238i
\(556\) 2268.97 + 3929.97i 0.173068 + 0.299762i
\(557\) 844.740 1463.13i 0.0642599 0.111301i −0.832106 0.554617i \(-0.812865\pi\)
0.896365 + 0.443316i \(0.146198\pi\)
\(558\) −4821.73 + 8751.49i −0.365807 + 0.663943i
\(559\) −2996.16 −0.226698
\(560\) 122.843 14369.0i 0.00926973 1.08428i
\(561\) −22060.5 + 13032.8i −1.66024 + 0.980826i
\(562\) 10587.6 18338.2i 0.794679 1.37642i
\(563\) 12909.2 0.966356 0.483178 0.875522i \(-0.339482\pi\)
0.483178 + 0.875522i \(0.339482\pi\)
\(564\) 5848.37 3455.06i 0.436632 0.257951i
\(565\) 3960.10 0.294872
\(566\) −2720.09 −0.202004
\(567\) 11899.2 + 6379.20i 0.881337 + 0.472489i
\(568\) −2281.01 −0.168501
\(569\) −26422.8 −1.94675 −0.973377 0.229211i \(-0.926385\pi\)
−0.973377 + 0.229211i \(0.926385\pi\)
\(570\) −6686.99 + 3950.50i −0.491381 + 0.290295i
\(571\) −12785.6 −0.937057 −0.468528 0.883448i \(-0.655216\pi\)
−0.468528 + 0.883448i \(0.655216\pi\)
\(572\) −4114.20 + 7126.00i −0.300740 + 0.520897i
\(573\) 14216.2 8398.54i 1.03646 0.612311i
\(574\) −1216.82 716.471i −0.0884827 0.0520991i
\(575\) −4620.36 −0.335100
\(576\) 1974.11 3583.03i 0.142803 0.259189i
\(577\) −2294.12 + 3973.54i −0.165521 + 0.286691i −0.936840 0.349758i \(-0.886264\pi\)
0.771319 + 0.636449i \(0.219597\pi\)
\(578\) 18799.5 + 32561.6i 1.35286 + 2.34323i
\(579\) −7618.76 + 4500.96i −0.546848 + 0.323063i
\(580\) −904.672 1566.94i −0.0647663 0.112179i
\(581\) −53.7116 + 6282.67i −0.00383534 + 0.448621i
\(582\) −19.8953 1987.71i −0.00141698 0.141569i
\(583\) 10398.7 0.738712
\(584\) −5686.43 + 9849.18i −0.402921 + 0.697880i
\(585\) −7943.95 + 14418.3i −0.561439 + 1.01902i
\(586\) −10406.7 18025.0i −0.733613 1.27066i
\(587\) 10298.2 17837.0i 0.724111 1.25420i −0.235228 0.971940i \(-0.575584\pi\)
0.959339 0.282256i \(-0.0910829\pi\)
\(588\) 42.7043 6023.83i 0.00299506 0.422481i
\(589\) 2493.88 + 4319.52i 0.174462 + 0.302178i
\(590\) −6357.08 + 11010.8i −0.443588 + 0.768316i
\(591\) 1140.23 673.617i 0.0793617 0.0468848i
\(592\) −11503.0 19923.7i −0.798596 1.38321i
\(593\) −3894.55 6745.56i −0.269697 0.467128i 0.699087 0.715037i \(-0.253590\pi\)
−0.968783 + 0.247909i \(0.920257\pi\)
\(594\) 15665.3 9682.82i 1.08208 0.668840i
\(595\) 19709.0 + 11604.7i 1.35796 + 0.799577i
\(596\) 1219.07 2111.49i 0.0837837 0.145118i
\(597\) 40.2221 + 4018.54i 0.00275742 + 0.275490i
\(598\) −32473.5 −2.22064
\(599\) 21873.9 1.49206 0.746031 0.665912i \(-0.231957\pi\)
0.746031 + 0.665912i \(0.231957\pi\)
\(600\) 2118.11 + 1194.79i 0.144119 + 0.0812949i
\(601\) −13992.6 + 24235.9i −0.949702 + 1.64493i −0.203650 + 0.979044i \(0.565281\pi\)
−0.746052 + 0.665888i \(0.768053\pi\)
\(602\) 25.5782 2991.89i 0.00173171 0.202559i
\(603\) 465.179 844.304i 0.0314155 0.0570195i
\(604\) 4845.15 + 8392.04i 0.326401 + 0.565343i
\(605\) 892.514 + 1545.88i 0.0599766 + 0.103883i
\(606\) 16458.3 + 9283.82i 1.10326 + 0.622326i
\(607\) 2341.73 4055.99i 0.156586 0.271215i −0.777049 0.629440i \(-0.783284\pi\)
0.933635 + 0.358225i \(0.116618\pi\)
\(608\) 3271.15 + 5665.80i 0.218195 + 0.377925i
\(609\) 2649.80 + 4574.15i 0.176314 + 0.304358i
\(610\) −586.518 + 1015.88i −0.0389302 + 0.0674291i
\(611\) −12098.8 20955.8i −0.801091 1.38753i
\(612\) −5981.54 9897.38i −0.395081 0.653722i
\(613\) −13144.7 + 22767.2i −0.866082 + 1.50010i −0.000113990 1.00000i \(0.500036\pi\)
−0.865968 + 0.500099i \(0.833297\pi\)
\(614\) −14781.5 −0.971555
\(615\) −985.403 + 582.150i −0.0646102 + 0.0381700i
\(616\) 9678.73 + 5698.89i 0.633063 + 0.372751i
\(617\) −215.459 373.186i −0.0140584 0.0243499i 0.858911 0.512126i \(-0.171142\pi\)
−0.872969 + 0.487776i \(0.837808\pi\)
\(618\) −300.067 29979.2i −0.0195315 1.95136i
\(619\) 8689.07 + 15049.9i 0.564205 + 0.977232i 0.997123 + 0.0757988i \(0.0241507\pi\)
−0.432918 + 0.901433i \(0.642516\pi\)
\(620\) 1806.71 3129.31i 0.117031 0.202703i
\(621\) 19010.2 + 10227.2i 1.22843 + 0.660875i
\(622\) 28547.9 1.84030
\(623\) 3326.19 + 1958.48i 0.213902 + 0.125947i
\(624\) 22543.0 + 12716.1i 1.44622 + 0.815787i
\(625\) 5484.84 9500.03i 0.351030 0.608002i
\(626\) −19634.8 −1.25362
\(627\) −92.0100 9192.60i −0.00586049 0.585513i
\(628\) −2535.60 −0.161117
\(629\) 36618.2 2.32124
\(630\) −14330.0 8055.71i −0.906221 0.509440i
\(631\) −176.931 −0.0111625 −0.00558123 0.999984i \(-0.501777\pi\)
−0.00558123 + 0.999984i \(0.501777\pi\)
\(632\) 7813.76 0.491795
\(633\) −16605.5 9366.88i −1.04267 0.588152i
\(634\) 21641.1 1.35564
\(635\) −11207.4 + 19411.7i −0.700394 + 1.21312i
\(636\) 46.9738 + 4693.09i 0.00292867 + 0.292599i
\(637\) −21456.1 366.891i −1.33457 0.0228206i
\(638\) 7210.65 0.447449
\(639\) −1906.90 + 3461.04i −0.118053 + 0.214267i
\(640\) −8099.64 + 14029.0i −0.500260 + 0.866475i
\(641\) 10514.9 + 18212.4i 0.647917 + 1.12223i 0.983619 + 0.180257i \(0.0576930\pi\)
−0.335702 + 0.941968i \(0.608974\pi\)
\(642\) 12531.4 + 7068.70i 0.770363 + 0.434547i
\(643\) −6304.53 10919.8i −0.386666 0.669725i 0.605333 0.795973i \(-0.293040\pi\)
−0.991999 + 0.126247i \(0.959707\pi\)
\(644\) 82.3383 9631.15i 0.00503817 0.589317i
\(645\) −2112.20 1191.45i −0.128942 0.0727338i
\(646\) −19436.4 −1.18377
\(647\) −5084.38 + 8806.41i −0.308945 + 0.535109i −0.978132 0.207985i \(-0.933309\pi\)
0.669187 + 0.743094i \(0.266643\pi\)
\(648\) −6070.16 9604.32i −0.367991 0.582243i
\(649\) −7524.52 13032.8i −0.455105 0.788265i
\(650\) −3168.82 + 5488.55i −0.191217 + 0.331198i
\(651\) −5265.17 + 9150.37i −0.316987 + 0.550893i
\(652\) 4732.11 + 8196.26i 0.284239 + 0.492316i
\(653\) −8663.76 + 15006.1i −0.519203 + 0.899285i 0.480548 + 0.876968i \(0.340438\pi\)
−0.999751 + 0.0223171i \(0.992896\pi\)
\(654\) 373.527 + 37318.6i 0.0223334 + 2.23130i
\(655\) −2844.18 4926.27i −0.169666 0.293871i
\(656\) 899.728 + 1558.38i 0.0535495 + 0.0927505i
\(657\) 10190.7 + 16862.0i 0.605137 + 1.00129i
\(658\) 21029.2 11902.7i 1.24590 0.705190i
\(659\) 7431.15 12871.1i 0.439266 0.760831i −0.558367 0.829594i \(-0.688572\pi\)
0.997633 + 0.0687629i \(0.0219052\pi\)
\(660\) −5734.09 + 3387.55i −0.338181 + 0.199788i
\(661\) 31289.4 1.84118 0.920588 0.390535i \(-0.127710\pi\)
0.920588 + 0.390535i \(0.127710\pi\)
\(662\) 2796.01 0.164154
\(663\) −35469.0 + 20954.1i −2.07768 + 1.22744i
\(664\) 2643.63 4578.91i 0.154507 0.267615i
\(665\) −7141.47 + 4042.12i −0.416442 + 0.235709i
\(666\) −26314.1 + 526.816i −1.53101 + 0.0306512i
\(667\) 4225.97 + 7319.60i 0.245323 + 0.424911i
\(668\) −0.267074 0.462586i −1.54692e−5 2.67934e-5i
\(669\) −104.240 10414.5i −0.00602415 0.601864i
\(670\) −586.863 + 1016.48i −0.0338395 + 0.0586118i
\(671\) −694.229 1202.44i −0.0399410 0.0691798i
\(672\) −6906.18 + 12002.3i −0.396446 + 0.688986i
\(673\) 2162.02 3744.73i 0.123833 0.214485i −0.797443 0.603394i \(-0.793815\pi\)
0.921276 + 0.388909i \(0.127148\pi\)
\(674\) 9806.11 + 16984.7i 0.560411 + 0.970661i
\(675\) 3583.60 2215.04i 0.204345 0.126307i
\(676\) −2901.99 + 5026.39i −0.165111 + 0.285980i
\(677\) −4809.41 −0.273029 −0.136514 0.990638i \(-0.543590\pi\)
−0.136514 + 0.990638i \(0.543590\pi\)
\(678\) −6204.02 3499.57i −0.351421 0.198230i
\(679\) 17.9547 2100.17i 0.00101478 0.118700i
\(680\) −9623.63 16668.6i −0.542720 0.940018i
\(681\) 15369.6 + 8669.71i 0.864853 + 0.487847i
\(682\) 7200.13 + 12471.0i 0.404263 + 0.700204i
\(683\) −13158.2 + 22790.8i −0.737169 + 1.27681i 0.216596 + 0.976261i \(0.430504\pi\)
−0.953765 + 0.300553i \(0.902829\pi\)
\(684\) 4148.35 83.0512i 0.231895 0.00464260i
\(685\) 1644.99 0.0917545
\(686\) 549.538 21422.4i 0.0305852 1.19229i
\(687\) −268.030 26778.5i −0.0148850 1.48714i
\(688\) −1906.39 + 3301.97i −0.105640 + 0.182974i
\(689\) 16719.1 0.924449
\(690\) −22892.8 12913.4i −1.26306 0.712470i
\(691\) 2191.19 0.120632 0.0603161 0.998179i \(-0.480789\pi\)
0.0603161 + 0.998179i \(0.480789\pi\)
\(692\) 4267.56 0.234434
\(693\) 16738.4 9921.61i 0.917518 0.543854i
\(694\) −11209.6 −0.613128
\(695\) 13084.2 0.714117
\(696\) −44.5239 4448.32i −0.00242482 0.242260i
\(697\) −2864.17 −0.155650
\(698\) 1269.08 2198.11i 0.0688187 0.119198i
\(699\) −27635.5 15588.7i −1.49538 0.843517i
\(700\) −1619.78 953.738i −0.0874601 0.0514970i
\(701\) 7938.38 0.427715 0.213858 0.976865i \(-0.431397\pi\)
0.213858 + 0.976865i \(0.431397\pi\)
\(702\) 25186.9 15568.1i 1.35415 0.837009i
\(703\) −6569.06 + 11377.9i −0.352428 + 0.610423i
\(704\) −2947.88 5105.87i −0.157816 0.273345i
\(705\) −196.023 19584.4i −0.0104718 1.04623i
\(706\) −3733.79 6467.11i −0.199041 0.344749i
\(707\) 17204.2 + 10129.9i 0.915178 + 0.538862i
\(708\) 5847.94 3454.81i 0.310422 0.183389i
\(709\) 22878.6 1.21188 0.605940 0.795510i \(-0.292797\pi\)
0.605940 + 0.795510i \(0.292797\pi\)
\(710\) 2405.71 4166.82i 0.127162 0.220251i
\(711\) 6532.23 11856.1i 0.344554 0.625368i
\(712\) −1624.14 2813.09i −0.0854875 0.148069i
\(713\) −8439.62 + 14617.8i −0.443291 + 0.767802i
\(714\) −20621.5 35597.3i −1.08087 1.86582i
\(715\) 11862.4 + 20546.3i 0.620462 + 1.07467i
\(716\) 4925.16 8530.63i 0.257070 0.445258i
\(717\) −11782.4 6646.26i −0.613701 0.346177i
\(718\) 1467.74 + 2542.20i 0.0762891 + 0.132137i
\(719\) −5773.81 10000.5i −0.299481 0.518716i 0.676536 0.736409i \(-0.263480\pi\)
−0.976017 + 0.217693i \(0.930147\pi\)
\(720\) 10835.4 + 17928.8i 0.560849 + 0.928012i
\(721\) 270.798 31675.4i 0.0139876 1.63613i
\(722\) −8082.37 + 13999.1i −0.416613 + 0.721595i
\(723\) −10510.1 5928.54i −0.540628 0.304958i
\(724\) 2943.82 0.151114
\(725\) 1649.51 0.0844981
\(726\) −32.1348 3210.55i −0.00164275 0.164125i
\(727\) −9053.60 + 15681.3i −0.461870 + 0.799982i −0.999054 0.0434827i \(-0.986155\pi\)
0.537184 + 0.843465i \(0.319488\pi\)
\(728\) 15561.5 + 9162.71i 0.792237 + 0.466474i
\(729\) −19647.5 + 1181.31i −0.998197 + 0.0600168i
\(730\) −11994.6 20775.3i −0.608139 1.05333i
\(731\) −3034.38 5255.69i −0.153530 0.265922i
\(732\) 539.544 318.748i 0.0272434 0.0160946i
\(733\) −11550.6 + 20006.1i −0.582032 + 1.00811i 0.413207 + 0.910637i \(0.364409\pi\)
−0.995238 + 0.0974713i \(0.968925\pi\)
\(734\) −4265.12 7387.41i −0.214480 0.371491i
\(735\) −14980.0 8790.86i −0.751761 0.441164i
\(736\) −11070.0 + 19173.8i −0.554411 + 0.960267i
\(737\) −694.636 1203.15i −0.0347181 0.0601336i
\(738\) 2058.21 41.2060i 0.102661 0.00205530i
\(739\) −5479.70 + 9491.12i −0.272766 + 0.472444i −0.969569 0.244818i \(-0.921272\pi\)
0.696803 + 0.717262i \(0.254605\pi\)
\(740\) 9518.01 0.472823
\(741\) −147.934 14779.9i −0.00733401 0.732731i
\(742\) −142.730 + 16695.2i −0.00706171 + 0.826011i
\(743\) −2774.77 4806.05i −0.137008 0.237304i 0.789355 0.613937i \(-0.210415\pi\)
−0.926363 + 0.376633i \(0.877082\pi\)
\(744\) 7649.02 4518.84i 0.376918 0.222673i
\(745\) −3514.94 6088.05i −0.172855 0.299394i
\(746\) 9058.60 15690.0i 0.444583 0.770040i
\(747\) −4737.66 7839.19i −0.232051 0.383964i
\(748\) −16666.7 −0.814698
\(749\) 13099.3 + 7712.94i 0.639036 + 0.376268i
\(750\) −22800.9 + 13470.2i −1.11009 + 0.655814i
\(751\) 8301.78 14379.1i 0.403377 0.698670i −0.590754 0.806852i \(-0.701170\pi\)
0.994131 + 0.108182i \(0.0345029\pi\)
\(752\) −30792.9 −1.49322
\(753\) −2133.49 + 1260.41i −0.103252 + 0.0609986i
\(754\) 11593.3 0.559952
\(755\) 27939.9 1.34681
\(756\) 4553.39 + 7509.50i 0.219055 + 0.361267i
\(757\) 2336.31 0.112172 0.0560862 0.998426i \(-0.482138\pi\)
0.0560862 + 0.998426i \(0.482138\pi\)
\(758\) 33476.2 1.60410
\(759\) 26785.5 15824.2i 1.28096 0.756760i
\(760\) 6905.67 0.329599
\(761\) −5034.41 + 8719.85i −0.239812 + 0.415367i −0.960660 0.277726i \(-0.910419\pi\)
0.720848 + 0.693093i \(0.243753\pi\)
\(762\) 34712.1 20507.0i 1.65024 0.974920i
\(763\) −337.093 + 39429.9i −0.0159942 + 1.87085i
\(764\) 10740.3 0.508601
\(765\) −33337.1 + 667.418i −1.57556 + 0.0315432i
\(766\) 18870.3 32684.3i 0.890093 1.54169i
\(767\) −12098.0 20954.3i −0.569534 0.986461i
\(768\) 19664.0 11616.9i 0.923909 0.545821i
\(769\) −1220.38 2113.76i −0.0572277 0.0991213i 0.835992 0.548741i \(-0.184893\pi\)
−0.893220 + 0.449620i \(0.851559\pi\)
\(770\) −20618.3 + 11670.1i −0.964977 + 0.546184i
\(771\) 194.340 + 19416.3i 0.00907781 + 0.906952i
\(772\) −5755.97 −0.268344
\(773\) 5436.01 9415.44i 0.252936 0.438098i −0.711397