Properties

Label 63.4.h.a.25.3
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 25.3
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.3

$q$-expansion

\(f(q)\) \(=\) \(q-4.87128 q^{2} +(-1.11598 - 5.07490i) q^{3} +15.7294 q^{4} +(3.10540 - 5.37871i) q^{5} +(5.43624 + 24.7213i) q^{6} +(17.8495 - 4.93906i) q^{7} -37.6522 q^{8} +(-24.5092 + 11.3269i) q^{9} +O(q^{10})\) \(q-4.87128 q^{2} +(-1.11598 - 5.07490i) q^{3} +15.7294 q^{4} +(3.10540 - 5.37871i) q^{5} +(5.43624 + 24.7213i) q^{6} +(17.8495 - 4.93906i) q^{7} -37.6522 q^{8} +(-24.5092 + 11.3269i) q^{9} +(-15.1273 + 26.2012i) q^{10} +(-27.7660 - 48.0921i) q^{11} +(-17.5536 - 79.8252i) q^{12} +(-6.74110 - 11.6759i) q^{13} +(-86.9501 + 24.0596i) q^{14} +(-30.7619 - 9.75707i) q^{15} +57.5792 q^{16} +(-43.1841 + 74.7970i) q^{17} +(119.391 - 55.1767i) q^{18} +(-42.1062 - 72.9300i) q^{19} +(48.8461 - 84.6039i) q^{20} +(-44.9849 - 85.0727i) q^{21} +(135.256 + 234.270i) q^{22} +(-5.26820 + 9.12479i) q^{23} +(42.0189 + 191.081i) q^{24} +(43.2130 + 74.8471i) q^{25} +(32.8378 + 56.8767i) q^{26} +(84.8347 + 111.741i) q^{27} +(280.763 - 77.6886i) q^{28} +(76.2157 - 132.009i) q^{29} +(149.850 + 47.5295i) q^{30} -254.065 q^{31} +20.7328 q^{32} +(-213.076 + 194.579i) q^{33} +(210.362 - 364.358i) q^{34} +(28.8641 - 111.345i) q^{35} +(-385.515 + 178.166i) q^{36} +(-172.072 - 298.038i) q^{37} +(205.111 + 355.263i) q^{38} +(-51.7312 + 47.2404i) q^{39} +(-116.925 + 202.520i) q^{40} +(-57.9241 - 100.328i) q^{41} +(219.134 + 414.413i) q^{42} +(46.7504 - 80.9741i) q^{43} +(-436.743 - 756.461i) q^{44} +(-15.1866 + 167.002i) q^{45} +(25.6629 - 44.4494i) q^{46} +319.841 q^{47} +(-64.2570 - 292.209i) q^{48} +(294.211 - 176.320i) q^{49} +(-210.503 - 364.602i) q^{50} +(427.780 + 135.683i) q^{51} +(-106.034 - 183.655i) q^{52} +(-136.535 + 236.486i) q^{53} +(-413.254 - 544.323i) q^{54} -344.898 q^{55} +(-672.074 + 185.967i) q^{56} +(-323.123 + 295.073i) q^{57} +(-371.268 + 643.055i) q^{58} +350.298 q^{59} +(-483.867 - 153.473i) q^{60} -291.131 q^{61} +1237.63 q^{62} +(-381.533 + 323.233i) q^{63} -561.629 q^{64} -83.7352 q^{65} +(1037.96 - 947.851i) q^{66} +833.381 q^{67} +(-679.260 + 1176.51i) q^{68} +(52.1865 + 16.5525i) q^{69} +(-140.605 + 542.394i) q^{70} +771.625 q^{71} +(922.825 - 426.484i) q^{72} +(-140.112 + 242.682i) q^{73} +(838.212 + 1451.83i) q^{74} +(331.617 - 302.829i) q^{75} +(-662.305 - 1147.15i) q^{76} +(-733.140 - 721.283i) q^{77} +(251.998 - 230.122i) q^{78} +345.885 q^{79} +(178.806 - 309.702i) q^{80} +(472.401 - 555.228i) q^{81} +(282.165 + 488.724i) q^{82} +(-62.9091 + 108.962i) q^{83} +(-707.586 - 1338.14i) q^{84} +(268.207 + 464.549i) q^{85} +(-227.735 + 394.448i) q^{86} +(-754.989 - 239.467i) q^{87} +(1045.45 + 1810.77i) q^{88} +(-163.146 - 282.578i) q^{89} +(73.9782 - 813.516i) q^{90} +(-177.994 - 175.115i) q^{91} +(-82.8657 + 143.528i) q^{92} +(283.531 + 1289.36i) q^{93} -1558.04 q^{94} -523.025 q^{95} +(-23.1373 - 105.217i) q^{96} +(124.352 - 215.384i) q^{97} +(-1433.19 + 858.904i) q^{98} +(1225.26 + 864.196i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.87128 −1.72226 −0.861130 0.508385i \(-0.830243\pi\)
−0.861130 + 0.508385i \(0.830243\pi\)
\(3\) −1.11598 5.07490i −0.214770 0.976665i
\(4\) 15.7294 1.96618
\(5\) 3.10540 5.37871i 0.277755 0.481086i −0.693071 0.720869i \(-0.743743\pi\)
0.970827 + 0.239783i \(0.0770762\pi\)
\(6\) 5.43624 + 24.7213i 0.369889 + 1.68207i
\(7\) 17.8495 4.93906i 0.963784 0.266684i
\(8\) −37.6522 −1.66401
\(9\) −24.5092 + 11.3269i −0.907748 + 0.419516i
\(10\) −15.1273 + 26.2012i −0.478367 + 0.828555i
\(11\) −27.7660 48.0921i −0.761069 1.31821i −0.942300 0.334770i \(-0.891341\pi\)
0.181231 0.983441i \(-0.441992\pi\)
\(12\) −17.5536 79.8252i −0.422275 1.92030i
\(13\) −6.74110 11.6759i −0.143819 0.249101i 0.785113 0.619353i \(-0.212605\pi\)
−0.928932 + 0.370251i \(0.879272\pi\)
\(14\) −86.9501 + 24.0596i −1.65989 + 0.459300i
\(15\) −30.7619 9.75707i −0.529513 0.167951i
\(16\) 57.5792 0.899675
\(17\) −43.1841 + 74.7970i −0.616099 + 1.06711i 0.374092 + 0.927392i \(0.377954\pi\)
−0.990191 + 0.139723i \(0.955379\pi\)
\(18\) 119.391 55.1767i 1.56338 0.722515i
\(19\) −42.1062 72.9300i −0.508411 0.880594i −0.999953 0.00973986i \(-0.996900\pi\)
0.491541 0.870854i \(-0.336434\pi\)
\(20\) 48.8461 84.6039i 0.546116 0.945901i
\(21\) −44.9849 85.0727i −0.467453 0.884018i
\(22\) 135.256 + 234.270i 1.31076 + 2.27030i
\(23\) −5.26820 + 9.12479i −0.0477607 + 0.0827239i −0.888917 0.458067i \(-0.848542\pi\)
0.841157 + 0.540791i \(0.181875\pi\)
\(24\) 42.0189 + 191.081i 0.357378 + 1.62518i
\(25\) 43.2130 + 74.8471i 0.345704 + 0.598777i
\(26\) 32.8378 + 56.8767i 0.247693 + 0.429017i
\(27\) 84.8347 + 111.741i 0.604683 + 0.796466i
\(28\) 280.763 77.6886i 1.89497 0.524349i
\(29\) 76.2157 132.009i 0.488031 0.845294i −0.511874 0.859060i \(-0.671049\pi\)
0.999905 + 0.0137662i \(0.00438205\pi\)
\(30\) 149.850 + 47.5295i 0.911959 + 0.289255i
\(31\) −254.065 −1.47198 −0.735992 0.676990i \(-0.763284\pi\)
−0.735992 + 0.676990i \(0.763284\pi\)
\(32\) 20.7328 0.114534
\(33\) −213.076 + 194.579i −1.12400 + 1.02642i
\(34\) 210.362 364.358i 1.06108 1.83785i
\(35\) 28.8641 111.345i 0.139398 0.537736i
\(36\) −385.515 + 178.166i −1.78479 + 0.824842i
\(37\) −172.072 298.038i −0.764554 1.32425i −0.940482 0.339843i \(-0.889626\pi\)
0.175928 0.984403i \(-0.443707\pi\)
\(38\) 205.111 + 355.263i 0.875616 + 1.51661i
\(39\) −51.7312 + 47.2404i −0.212401 + 0.193962i
\(40\) −116.925 + 202.520i −0.462187 + 0.800531i
\(41\) −57.9241 100.328i −0.220640 0.382159i 0.734363 0.678757i \(-0.237481\pi\)
−0.955002 + 0.296598i \(0.904148\pi\)
\(42\) 219.134 + 414.413i 0.805075 + 1.52251i
\(43\) 46.7504 80.9741i 0.165799 0.287173i −0.771139 0.636666i \(-0.780313\pi\)
0.936939 + 0.349493i \(0.113646\pi\)
\(44\) −436.743 756.461i −1.49640 2.59184i
\(45\) −15.1866 + 167.002i −0.0503085 + 0.553228i
\(46\) 25.6629 44.4494i 0.0822562 0.142472i
\(47\) 319.841 0.992631 0.496316 0.868142i \(-0.334686\pi\)
0.496316 + 0.868142i \(0.334686\pi\)
\(48\) −64.2570 292.209i −0.193223 0.878681i
\(49\) 294.211 176.320i 0.857759 0.514052i
\(50\) −210.503 364.602i −0.595392 1.03125i
\(51\) 427.780 + 135.683i 1.17453 + 0.372538i
\(52\) −106.034 183.655i −0.282773 0.489777i
\(53\) −136.535 + 236.486i −0.353859 + 0.612902i −0.986922 0.161199i \(-0.948464\pi\)
0.633063 + 0.774100i \(0.281797\pi\)
\(54\) −413.254 544.323i −1.04142 1.37172i
\(55\) −344.898 −0.845564
\(56\) −672.074 + 185.967i −1.60374 + 0.443765i
\(57\) −323.123 + 295.073i −0.750854 + 0.685672i
\(58\) −371.268 + 643.055i −0.840515 + 1.45582i
\(59\) 350.298 0.772964 0.386482 0.922297i \(-0.373690\pi\)
0.386482 + 0.922297i \(0.373690\pi\)
\(60\) −483.867 153.473i −1.04112 0.330221i
\(61\) −291.131 −0.611073 −0.305536 0.952180i \(-0.598836\pi\)
−0.305536 + 0.952180i \(0.598836\pi\)
\(62\) 1237.63 2.53514
\(63\) −381.533 + 323.233i −0.762995 + 0.646405i
\(64\) −561.629 −1.09693
\(65\) −83.7352 −0.159786
\(66\) 1037.96 947.851i 1.93581 1.76776i
\(67\) 833.381 1.51961 0.759804 0.650153i \(-0.225295\pi\)
0.759804 + 0.650153i \(0.225295\pi\)
\(68\) −679.260 + 1176.51i −1.21136 + 2.09814i
\(69\) 52.1865 + 16.5525i 0.0910510 + 0.0288796i
\(70\) −140.605 + 542.394i −0.240079 + 0.926121i
\(71\) 771.625 1.28979 0.644895 0.764271i \(-0.276901\pi\)
0.644895 + 0.764271i \(0.276901\pi\)
\(72\) 922.825 426.484i 1.51050 0.698077i
\(73\) −140.112 + 242.682i −0.224643 + 0.389093i −0.956212 0.292674i \(-0.905455\pi\)
0.731569 + 0.681767i \(0.238788\pi\)
\(74\) 838.212 + 1451.83i 1.31676 + 2.28069i
\(75\) 331.617 302.829i 0.510558 0.466236i
\(76\) −662.305 1147.15i −0.999627 1.73140i
\(77\) −733.140 721.283i −1.08505 1.06750i
\(78\) 251.998 230.122i 0.365809 0.334053i
\(79\) 345.885 0.492596 0.246298 0.969194i \(-0.420786\pi\)
0.246298 + 0.969194i \(0.420786\pi\)
\(80\) 178.806 309.702i 0.249889 0.432821i
\(81\) 472.401 555.228i 0.648013 0.761629i
\(82\) 282.165 + 488.724i 0.379999 + 0.658177i
\(83\) −62.9091 + 108.962i −0.0831948 + 0.144098i −0.904621 0.426218i \(-0.859846\pi\)
0.821426 + 0.570315i \(0.193179\pi\)
\(84\) −707.586 1338.14i −0.919095 1.73814i
\(85\) 268.207 + 464.549i 0.342249 + 0.592793i
\(86\) −227.735 + 394.448i −0.285550 + 0.494586i
\(87\) −754.989 239.467i −0.930383 0.295099i
\(88\) 1045.45 + 1810.77i 1.26642 + 2.19351i
\(89\) −163.146 282.578i −0.194309 0.336552i 0.752365 0.658746i \(-0.228913\pi\)
−0.946674 + 0.322194i \(0.895580\pi\)
\(90\) 73.9782 813.516i 0.0866443 0.952802i
\(91\) −177.994 175.115i −0.205042 0.201726i
\(92\) −82.8657 + 143.528i −0.0939059 + 0.162650i
\(93\) 283.531 + 1289.36i 0.316138 + 1.43764i
\(94\) −1558.04 −1.70957
\(95\) −523.025 −0.564856
\(96\) −23.1373 105.217i −0.0245984 0.111861i
\(97\) 124.352 215.384i 0.130165 0.225453i −0.793575 0.608472i \(-0.791783\pi\)
0.923740 + 0.383020i \(0.125116\pi\)
\(98\) −1433.19 + 858.904i −1.47728 + 0.885331i
\(99\) 1225.26 + 864.196i 1.24387 + 0.877322i
\(100\) 679.715 + 1177.30i 0.679715 + 1.17730i
\(101\) −978.371 1694.59i −0.963877 1.66948i −0.712603 0.701567i \(-0.752484\pi\)
−0.251274 0.967916i \(-0.580849\pi\)
\(102\) −2083.84 660.951i −2.02285 0.641607i
\(103\) 947.900 1641.81i 0.906790 1.57061i 0.0882937 0.996094i \(-0.471859\pi\)
0.818496 0.574512i \(-0.194808\pi\)
\(104\) 253.817 + 439.624i 0.239315 + 0.414507i
\(105\) −597.277 22.2240i −0.555126 0.0206556i
\(106\) 665.101 1151.99i 0.609437 1.05558i
\(107\) −518.000 897.202i −0.468009 0.810615i 0.531323 0.847169i \(-0.321695\pi\)
−0.999332 + 0.0365546i \(0.988362\pi\)
\(108\) 1334.40 + 1757.62i 1.18891 + 1.56599i
\(109\) −21.1870 + 36.6969i −0.0186178 + 0.0322470i −0.875184 0.483790i \(-0.839260\pi\)
0.856566 + 0.516037i \(0.172593\pi\)
\(110\) 1680.10 1.45628
\(111\) −1320.48 + 1205.85i −1.12914 + 1.03112i
\(112\) 1027.76 284.387i 0.867092 0.239929i
\(113\) 1063.25 + 1841.60i 0.885149 + 1.53312i 0.845543 + 0.533908i \(0.179277\pi\)
0.0396063 + 0.999215i \(0.487390\pi\)
\(114\) 1574.02 1437.38i 1.29317 1.18091i
\(115\) 32.7197 + 56.6722i 0.0265315 + 0.0459540i
\(116\) 1198.83 2076.43i 0.959555 1.66200i
\(117\) 297.471 + 209.812i 0.235053 + 0.165787i
\(118\) −1706.40 −1.33124
\(119\) −401.388 + 1548.38i −0.309203 + 1.19277i
\(120\) 1158.25 + 367.375i 0.881114 + 0.279472i
\(121\) −876.401 + 1517.97i −0.658453 + 1.14047i
\(122\) 1418.18 1.05243
\(123\) −444.510 + 405.922i −0.325855 + 0.297567i
\(124\) −3996.30 −2.89418
\(125\) 1313.12 0.939595
\(126\) 1858.56 1574.56i 1.31407 1.11328i
\(127\) 1147.33 0.801646 0.400823 0.916156i \(-0.368724\pi\)
0.400823 + 0.916156i \(0.368724\pi\)
\(128\) 2569.99 1.77467
\(129\) −463.108 146.889i −0.316080 0.100254i
\(130\) 407.898 0.275192
\(131\) −71.4716 + 123.792i −0.0476679 + 0.0825633i −0.888875 0.458150i \(-0.848512\pi\)
0.841207 + 0.540713i \(0.181846\pi\)
\(132\) −3351.57 + 3060.62i −2.20997 + 2.01813i
\(133\) −1111.78 1093.80i −0.724839 0.713117i
\(134\) −4059.64 −2.61716
\(135\) 864.468 109.300i 0.551123 0.0696820i
\(136\) 1625.97 2816.27i 1.02519 1.77569i
\(137\) −682.289 1181.76i −0.425488 0.736967i 0.570978 0.820966i \(-0.306564\pi\)
−0.996466 + 0.0839984i \(0.973231\pi\)
\(138\) −254.216 80.6321i −0.156814 0.0497381i
\(139\) 549.346 + 951.496i 0.335215 + 0.580610i 0.983526 0.180766i \(-0.0578576\pi\)
−0.648311 + 0.761376i \(0.724524\pi\)
\(140\) 454.016 1751.39i 0.274081 1.05728i
\(141\) −356.935 1623.16i −0.213187 0.969468i
\(142\) −3758.81 −2.22135
\(143\) −374.346 + 648.387i −0.218912 + 0.379167i
\(144\) −1411.22 + 652.195i −0.816678 + 0.377428i
\(145\) −473.360 819.883i −0.271106 0.469570i
\(146\) 682.527 1182.17i 0.386893 0.670118i
\(147\) −1223.14 1296.32i −0.686277 0.727340i
\(148\) −2706.59 4687.96i −1.50325 2.60370i
\(149\) 298.978 517.845i 0.164384 0.284722i −0.772052 0.635559i \(-0.780770\pi\)
0.936436 + 0.350837i \(0.114103\pi\)
\(150\) −1615.40 + 1475.17i −0.879313 + 0.802979i
\(151\) 634.850 + 1099.59i 0.342141 + 0.592606i 0.984830 0.173521i \(-0.0555144\pi\)
−0.642689 + 0.766127i \(0.722181\pi\)
\(152\) 1585.39 + 2745.97i 0.846000 + 1.46532i
\(153\) 211.187 2322.36i 0.111591 1.22713i
\(154\) 3571.33 + 3513.58i 1.86874 + 1.83852i
\(155\) −788.975 + 1366.54i −0.408851 + 0.708151i
\(156\) −813.702 + 743.064i −0.417617 + 0.381364i
\(157\) 2565.17 1.30397 0.651984 0.758233i \(-0.273937\pi\)
0.651984 + 0.758233i \(0.273937\pi\)
\(158\) −1684.90 −0.848378
\(159\) 1352.51 + 428.989i 0.674598 + 0.213969i
\(160\) 64.3836 111.516i 0.0318123 0.0551006i
\(161\) −48.9670 + 188.893i −0.0239698 + 0.0924650i
\(162\) −2301.20 + 2704.67i −1.11605 + 1.31172i
\(163\) 1074.23 + 1860.62i 0.516196 + 0.894078i 0.999823 + 0.0188039i \(0.00598583\pi\)
−0.483627 + 0.875274i \(0.660681\pi\)
\(164\) −911.113 1578.09i −0.433817 0.751393i
\(165\) 384.898 + 1750.32i 0.181601 + 0.825832i
\(166\) 306.448 530.784i 0.143283 0.248174i
\(167\) −700.461 1213.23i −0.324570 0.562173i 0.656855 0.754017i \(-0.271886\pi\)
−0.981425 + 0.191845i \(0.938553\pi\)
\(168\) 1693.78 + 3203.17i 0.777845 + 1.47101i
\(169\) 1007.62 1745.24i 0.458632 0.794374i
\(170\) −1306.52 2262.95i −0.589442 1.02094i
\(171\) 1858.06 + 1310.52i 0.830932 + 0.586071i
\(172\) 735.357 1273.68i 0.325991 0.564633i
\(173\) −1337.28 −0.587698 −0.293849 0.955852i \(-0.594936\pi\)
−0.293849 + 0.955852i \(0.594936\pi\)
\(174\) 3677.77 + 1166.51i 1.60236 + 0.508237i
\(175\) 1141.01 + 1122.55i 0.492868 + 0.484898i
\(176\) −1598.74 2769.11i −0.684715 1.18596i
\(177\) −390.924 1777.73i −0.166009 0.754927i
\(178\) 794.732 + 1376.52i 0.334650 + 0.579630i
\(179\) 512.284 887.302i 0.213910 0.370503i −0.739025 0.673678i \(-0.764713\pi\)
0.952935 + 0.303175i \(0.0980467\pi\)
\(180\) −238.876 + 2626.85i −0.0989154 + 1.08774i
\(181\) −892.316 −0.366438 −0.183219 0.983072i \(-0.558652\pi\)
−0.183219 + 0.983072i \(0.558652\pi\)
\(182\) 867.057 + 853.035i 0.353135 + 0.347424i
\(183\) 324.895 + 1477.46i 0.131240 + 0.596813i
\(184\) 198.359 343.568i 0.0794741 0.137653i
\(185\) −2137.41 −0.849435
\(186\) −1381.16 6280.82i −0.544471 2.47598i
\(187\) 4796.19 1.87557
\(188\) 5030.92 1.95169
\(189\) 2066.16 + 1575.52i 0.795189 + 0.606362i
\(190\) 2547.81 0.972828
\(191\) −798.792 −0.302610 −0.151305 0.988487i \(-0.548348\pi\)
−0.151305 + 0.988487i \(0.548348\pi\)
\(192\) 626.764 + 2850.21i 0.235588 + 1.07133i
\(193\) −697.628 −0.260188 −0.130094 0.991502i \(-0.541528\pi\)
−0.130094 + 0.991502i \(0.541528\pi\)
\(194\) −605.753 + 1049.20i −0.224178 + 0.388288i
\(195\) 93.4464 + 424.947i 0.0343171 + 0.156057i
\(196\) 4627.77 2773.41i 1.68651 1.01072i
\(197\) 84.5351 0.0305730 0.0152865 0.999883i \(-0.495134\pi\)
0.0152865 + 0.999883i \(0.495134\pi\)
\(198\) −5968.58 4209.74i −2.14227 1.51098i
\(199\) −1291.09 + 2236.23i −0.459914 + 0.796595i −0.998956 0.0456844i \(-0.985453\pi\)
0.539042 + 0.842279i \(0.318786\pi\)
\(200\) −1627.06 2818.16i −0.575254 0.996369i
\(201\) −930.033 4229.32i −0.326365 1.48415i
\(202\) 4765.92 + 8254.82i 1.66005 + 2.87528i
\(203\) 708.411 2732.74i 0.244930 0.944831i
\(204\) 6728.72 + 2134.22i 2.30934 + 0.732476i
\(205\) −719.510 −0.245135
\(206\) −4617.49 + 7997.73i −1.56173 + 2.70499i
\(207\) 25.7635 283.314i 0.00865066 0.0951288i
\(208\) −388.147 672.290i −0.129390 0.224110i
\(209\) −2338.24 + 4049.95i −0.773872 + 1.34039i
\(210\) 2909.51 + 108.259i 0.956072 + 0.0355744i
\(211\) −456.706 791.037i −0.149009 0.258091i 0.781852 0.623464i \(-0.214275\pi\)
−0.930861 + 0.365372i \(0.880942\pi\)
\(212\) −2147.62 + 3719.78i −0.695749 + 1.20507i
\(213\) −861.115 3915.92i −0.277008 1.25969i
\(214\) 2523.32 + 4370.53i 0.806032 + 1.39609i
\(215\) −290.357 502.914i −0.0921033 0.159528i
\(216\) −3194.21 4207.30i −1.00620 1.32533i
\(217\) −4534.95 + 1254.85i −1.41867 + 0.392555i
\(218\) 103.208 178.761i 0.0320647 0.0555378i
\(219\) 1387.95 + 440.229i 0.428259 + 0.135835i
\(220\) −5425.04 −1.66253
\(221\) 1164.43 0.354426
\(222\) 6432.45 5874.05i 1.94467 1.77586i
\(223\) 484.137 838.550i 0.145382 0.251809i −0.784133 0.620592i \(-0.786892\pi\)
0.929515 + 0.368783i \(0.120226\pi\)
\(224\) 370.071 102.401i 0.110386 0.0305443i
\(225\) −1906.90 1344.97i −0.565009 0.398510i
\(226\) −5179.38 8970.95i −1.52446 2.64044i
\(227\) −1656.75 2869.57i −0.484415 0.839031i 0.515425 0.856935i \(-0.327634\pi\)
−0.999840 + 0.0179035i \(0.994301\pi\)
\(228\) −5082.53 + 4641.32i −1.47631 + 1.34815i
\(229\) −1794.95 + 3108.95i −0.517964 + 0.897140i 0.481818 + 0.876271i \(0.339977\pi\)
−0.999782 + 0.0208691i \(0.993357\pi\)
\(230\) −159.387 276.066i −0.0456942 0.0791447i
\(231\) −2842.27 + 4525.55i −0.809558 + 1.28900i
\(232\) −2869.69 + 4970.44i −0.812087 + 1.40658i
\(233\) 2516.03 + 4357.90i 0.707428 + 1.22530i 0.965808 + 0.259259i \(0.0834782\pi\)
−0.258379 + 0.966044i \(0.583188\pi\)
\(234\) −1449.07 1022.05i −0.404823 0.285528i
\(235\) 993.235 1720.33i 0.275709 0.477541i
\(236\) 5509.98 1.51978
\(237\) −385.999 1755.33i −0.105795 0.481101i
\(238\) 1955.28 7542.60i 0.532528 2.05426i
\(239\) −322.817 559.135i −0.0873694 0.151328i 0.819029 0.573752i \(-0.194513\pi\)
−0.906398 + 0.422424i \(0.861179\pi\)
\(240\) −1771.25 561.805i −0.476390 0.151101i
\(241\) −1597.86 2767.58i −0.427084 0.739731i 0.569529 0.821972i \(-0.307126\pi\)
−0.996613 + 0.0822404i \(0.973792\pi\)
\(242\) 4269.20 7394.47i 1.13403 1.96419i
\(243\) −3344.91 1777.77i −0.883030 0.469316i
\(244\) −4579.31 −1.20148
\(245\) −34.7297 2130.02i −0.00905632 0.555437i
\(246\) 2165.34 1977.36i 0.561206 0.512488i
\(247\) −567.683 + 983.256i −0.146238 + 0.253292i
\(248\) 9566.12 2.44939
\(249\) 623.175 + 197.659i 0.158603 + 0.0503057i
\(250\) −6396.60 −1.61823
\(251\) −3686.56 −0.927066 −0.463533 0.886080i \(-0.653418\pi\)
−0.463533 + 0.886080i \(0.653418\pi\)
\(252\) −6001.29 + 5084.26i −1.50018 + 1.27095i
\(253\) 585.107 0.145397
\(254\) −5588.97 −1.38064
\(255\) 2058.23 1879.55i 0.505455 0.461577i
\(256\) −8026.13 −1.95951
\(257\) −795.880 + 1378.50i −0.193174 + 0.334586i −0.946300 0.323289i \(-0.895211\pi\)
0.753127 + 0.657876i \(0.228545\pi\)
\(258\) 2255.93 + 715.536i 0.544372 + 0.172664i
\(259\) −4543.43 4469.96i −1.09002 1.07239i
\(260\) −1317.11 −0.314167
\(261\) −372.724 + 4098.73i −0.0883947 + 0.972051i
\(262\) 348.158 603.028i 0.0820966 0.142195i
\(263\) 1955.64 + 3387.26i 0.458516 + 0.794173i 0.998883 0.0472564i \(-0.0150478\pi\)
−0.540367 + 0.841430i \(0.681714\pi\)
\(264\) 8022.79 7326.33i 1.87034 1.70797i
\(265\) 847.991 + 1468.76i 0.196572 + 0.340473i
\(266\) 5415.80 + 5328.22i 1.24836 + 1.22817i
\(267\) −1251.99 + 1143.30i −0.286967 + 0.262056i
\(268\) 13108.6 2.98782
\(269\) −191.371 + 331.465i −0.0433759 + 0.0751292i −0.886898 0.461965i \(-0.847145\pi\)
0.843522 + 0.537094i \(0.180478\pi\)
\(270\) −4211.07 + 532.433i −0.949176 + 0.120010i
\(271\) 403.244 + 698.439i 0.0903887 + 0.156558i 0.907675 0.419674i \(-0.137856\pi\)
−0.817286 + 0.576232i \(0.804522\pi\)
\(272\) −2486.50 + 4306.75i −0.554289 + 0.960056i
\(273\) −690.055 + 1098.72i −0.152982 + 0.243582i
\(274\) 3323.62 + 5756.69i 0.732801 + 1.26925i
\(275\) 2399.70 4156.41i 0.526209 0.911421i
\(276\) 820.864 + 260.362i 0.179022 + 0.0567824i
\(277\) 666.775 + 1154.89i 0.144630 + 0.250507i 0.929235 0.369489i \(-0.120467\pi\)
−0.784605 + 0.619996i \(0.787134\pi\)
\(278\) −2676.02 4635.01i −0.577328 0.999961i
\(279\) 6226.94 2877.78i 1.33619 0.617521i
\(280\) −1086.80 + 4192.39i −0.231959 + 0.894797i
\(281\) 1518.16 2629.53i 0.322299 0.558238i −0.658663 0.752438i \(-0.728878\pi\)
0.980962 + 0.194200i \(0.0622111\pi\)
\(282\) 1738.73 + 7906.89i 0.367163 + 1.66967i
\(283\) 2538.14 0.533133 0.266566 0.963817i \(-0.414111\pi\)
0.266566 + 0.963817i \(0.414111\pi\)
\(284\) 12137.2 2.53595
\(285\) 583.684 + 2654.30i 0.121314 + 0.551675i
\(286\) 1823.55 3158.48i 0.377023 0.653024i
\(287\) −1529.44 1504.71i −0.314565 0.309478i
\(288\) −508.144 + 234.839i −0.103968 + 0.0480487i
\(289\) −1273.23 2205.30i −0.259155 0.448870i
\(290\) 2305.87 + 3993.89i 0.466915 + 0.808721i
\(291\) −1231.82 390.710i −0.248147 0.0787073i
\(292\) −2203.89 + 3817.24i −0.441687 + 0.765025i
\(293\) 1537.15 + 2662.43i 0.306489 + 0.530855i 0.977592 0.210510i \(-0.0675123\pi\)
−0.671102 + 0.741365i \(0.734179\pi\)
\(294\) 5958.25 + 6314.76i 1.18195 + 1.25267i
\(295\) 1087.81 1884.15i 0.214695 0.371862i
\(296\) 6478.89 + 11221.8i 1.27222 + 2.20355i
\(297\) 3018.35 7182.48i 0.589705 1.40327i
\(298\) −1456.41 + 2522.57i −0.283112 + 0.490365i
\(299\) 142.054 0.0274755
\(300\) 5216.14 4763.33i 1.00385 0.916703i
\(301\) 434.537 1676.25i 0.0832103 0.320989i
\(302\) −3092.54 5356.43i −0.589256 1.02062i
\(303\) −7508.03 + 6856.25i −1.42351 + 1.29994i
\(304\) −2424.44 4199.25i −0.457405 0.792249i
\(305\) −904.076 + 1565.91i −0.169729 + 0.293979i
\(306\) −1028.75 + 11312.9i −0.192189 + 2.11344i
\(307\) −8776.30 −1.63156 −0.815781 0.578360i \(-0.803693\pi\)
−0.815781 + 0.578360i \(0.803693\pi\)
\(308\) −11531.9 11345.4i −2.13341 2.09890i
\(309\) −9389.86 2978.28i −1.72871 0.548311i
\(310\) 3843.32 6656.82i 0.704148 1.21962i
\(311\) 2424.94 0.442140 0.221070 0.975258i \(-0.429045\pi\)
0.221070 + 0.975258i \(0.429045\pi\)
\(312\) 1947.79 1778.71i 0.353436 0.322754i
\(313\) −6509.24 −1.17548 −0.587738 0.809051i \(-0.699982\pi\)
−0.587738 + 0.809051i \(0.699982\pi\)
\(314\) −12495.7 −2.24577
\(315\) 553.762 + 3055.92i 0.0990507 + 0.546609i
\(316\) 5440.56 0.968531
\(317\) 9739.86 1.72569 0.862847 0.505464i \(-0.168679\pi\)
0.862847 + 0.505464i \(0.168679\pi\)
\(318\) −6588.46 2089.73i −1.16183 0.368510i
\(319\) −8464.81 −1.48570
\(320\) −1744.08 + 3020.84i −0.304679 + 0.527719i
\(321\) −3975.13 + 3630.05i −0.691185 + 0.631183i
\(322\) 238.532 920.152i 0.0412822 0.159249i
\(323\) 7273.26 1.25293
\(324\) 7430.60 8733.41i 1.27411 1.49750i
\(325\) 582.606 1009.10i 0.0994375 0.172231i
\(326\) −5232.87 9063.59i −0.889024 1.53983i
\(327\) 209.877 + 66.5689i 0.0354931 + 0.0112577i
\(328\) 2180.97 + 3777.55i 0.367146 + 0.635916i
\(329\) 5709.02 1579.72i 0.956682 0.264719i
\(330\) −1874.95 8526.32i −0.312765 1.42230i
\(331\) 7350.00 1.22052 0.610261 0.792201i \(-0.291065\pi\)
0.610261 + 0.792201i \(0.291065\pi\)
\(332\) −989.524 + 1713.91i −0.163576 + 0.283322i
\(333\) 7593.20 + 5355.62i 1.24956 + 0.881339i
\(334\) 3412.14 + 5910.00i 0.558994 + 0.968207i
\(335\) 2587.98 4482.51i 0.422079 0.731062i
\(336\) −2590.19 4898.42i −0.420556 0.795329i
\(337\) −2340.00 4053.01i −0.378244 0.655137i 0.612563 0.790422i \(-0.290139\pi\)
−0.990807 + 0.135284i \(0.956805\pi\)
\(338\) −4908.38 + 8501.56i −0.789884 + 1.36812i
\(339\) 8159.36 7451.05i 1.30724 1.19376i
\(340\) 4218.75 + 7307.08i 0.672923 + 1.16554i
\(341\) 7054.38 + 12218.5i 1.12028 + 1.94039i
\(342\) −9051.14 6383.93i −1.43108 1.00937i
\(343\) 4380.68 4600.35i 0.689605 0.724186i
\(344\) −1760.26 + 3048.85i −0.275891 + 0.477858i
\(345\) 251.091 229.294i 0.0391835 0.0357820i
\(346\) 6514.29 1.01217
\(347\) −7602.37 −1.17613 −0.588064 0.808814i \(-0.700110\pi\)
−0.588064 + 0.808814i \(0.700110\pi\)
\(348\) −11875.5 3766.68i −1.82930 0.580217i
\(349\) −5989.27 + 10373.7i −0.918619 + 1.59109i −0.117105 + 0.993120i \(0.537361\pi\)
−0.801515 + 0.597975i \(0.795972\pi\)
\(350\) −5558.17 5468.28i −0.848847 0.835120i
\(351\) 732.802 1743.78i 0.111436 0.265174i
\(352\) −575.667 997.084i −0.0871681 0.150979i
\(353\) 3279.66 + 5680.54i 0.494500 + 0.856500i 0.999980 0.00633882i \(-0.00201772\pi\)
−0.505480 + 0.862839i \(0.668684\pi\)
\(354\) 1904.30 + 8659.81i 0.285911 + 1.30018i
\(355\) 2396.20 4150.35i 0.358246 0.620500i
\(356\) −2566.19 4444.78i −0.382045 0.661721i
\(357\) 8305.81 + 309.050i 1.23135 + 0.0458170i
\(358\) −2495.48 + 4322.30i −0.368409 + 0.638103i
\(359\) 132.469 + 229.443i 0.0194747 + 0.0337313i 0.875599 0.483040i \(-0.160467\pi\)
−0.856124 + 0.516771i \(0.827134\pi\)
\(360\) 571.808 6288.01i 0.0837137 0.920575i
\(361\) −116.356 + 201.535i −0.0169640 + 0.0293825i
\(362\) 4346.72 0.631102
\(363\) 8681.59 + 2753.63i 1.25528 + 0.398149i
\(364\) −2799.73 2754.46i −0.403148 0.396628i
\(365\) 870.210 + 1507.25i 0.124791 + 0.216145i
\(366\) −1582.65 7197.12i −0.226029 1.02787i
\(367\) 3000.03 + 5196.21i 0.426704 + 0.739073i 0.996578 0.0826591i \(-0.0263413\pi\)
−0.569874 + 0.821732i \(0.693008\pi\)
\(368\) −303.339 + 525.398i −0.0429691 + 0.0744246i
\(369\) 2556.08 + 1802.85i 0.360607 + 0.254342i
\(370\) 10411.9 1.46295
\(371\) −1269.07 + 4895.51i −0.177592 + 0.685073i
\(372\) 4459.78 + 20280.8i 0.621582 + 2.82664i
\(373\) −459.470 + 795.825i −0.0637813 + 0.110473i −0.896153 0.443746i \(-0.853649\pi\)
0.832371 + 0.554218i \(0.186983\pi\)
\(374\) −23363.6 −3.23023
\(375\) −1465.41 6663.97i −0.201796 0.917669i
\(376\) −12042.7 −1.65175
\(377\) −2055.11 −0.280752
\(378\) −10064.8 7674.82i −1.36952 1.04431i
\(379\) 6188.59 0.838751 0.419375 0.907813i \(-0.362249\pi\)
0.419375 + 0.907813i \(0.362249\pi\)
\(380\) −8226.89 −1.11061
\(381\) −1280.39 5822.58i −0.172169 0.782939i
\(382\) 3891.14 0.521173
\(383\) 2070.97 3587.03i 0.276297 0.478560i −0.694165 0.719816i \(-0.744226\pi\)
0.970462 + 0.241256i \(0.0775594\pi\)
\(384\) −2868.05 13042.5i −0.381145 1.73325i
\(385\) −6156.26 + 1703.47i −0.814941 + 0.225499i
\(386\) 3398.34 0.448112
\(387\) −228.627 + 2514.15i −0.0300305 + 0.330236i
\(388\) 1955.98 3387.86i 0.255928 0.443280i
\(389\) −497.767 862.158i −0.0648786 0.112373i 0.831762 0.555133i \(-0.187333\pi\)
−0.896640 + 0.442760i \(0.853999\pi\)
\(390\) −455.204 2070.04i −0.0591030 0.268771i
\(391\) −455.005 788.091i −0.0588506 0.101932i
\(392\) −11077.7 + 6638.83i −1.42732 + 0.855386i
\(393\) 707.995 + 224.562i 0.0908743 + 0.0288235i
\(394\) −411.795 −0.0526546
\(395\) 1074.11 1860.41i 0.136821 0.236981i
\(396\) 19272.6 + 13593.3i 2.44567 + 1.72497i
\(397\) 4285.78 + 7423.18i 0.541806 + 0.938435i 0.998800 + 0.0489659i \(0.0155926\pi\)
−0.456994 + 0.889470i \(0.651074\pi\)
\(398\) 6289.26 10893.3i 0.792091 1.37194i
\(399\) −4310.21 + 6862.83i −0.540803 + 0.861081i
\(400\) 2488.17 + 4309.64i 0.311021 + 0.538705i
\(401\) 7048.55 12208.4i 0.877775 1.52035i 0.0239977 0.999712i \(-0.492361\pi\)
0.853777 0.520639i \(-0.174306\pi\)
\(402\) 4530.45 + 20602.2i 0.562086 + 2.55609i
\(403\) 1712.68 + 2966.45i 0.211699 + 0.366673i
\(404\) −15389.2 26654.9i −1.89515 3.28250i
\(405\) −1519.41 4265.11i −0.186420 0.523297i
\(406\) −3450.87 + 13312.0i −0.421832 + 1.62724i
\(407\) −9555.51 + 16550.6i −1.16376 + 2.01569i
\(408\) −16106.8 5108.77i −1.95443 0.619906i
\(409\) 4858.23 0.587345 0.293673 0.955906i \(-0.405122\pi\)
0.293673 + 0.955906i \(0.405122\pi\)
\(410\) 3504.94 0.422187
\(411\) −5235.89 + 4781.36i −0.628388 + 0.573837i
\(412\) 14909.9 25824.7i 1.78291 3.08809i
\(413\) 6252.65 1730.14i 0.744970 0.206137i
\(414\) −125.501 + 1380.10i −0.0148987 + 0.163836i
\(415\) 390.716 + 676.739i 0.0462156 + 0.0800478i
\(416\) −139.762 242.075i −0.0164721 0.0285305i
\(417\) 4215.69 3849.72i 0.495067 0.452091i
\(418\) 11390.2 19728.4i 1.33281 2.30849i
\(419\) −3476.72 6021.85i −0.405367 0.702116i 0.588997 0.808135i \(-0.299523\pi\)
−0.994364 + 0.106019i \(0.966190\pi\)
\(420\) −9394.82 349.571i −1.09148 0.0406126i
\(421\) 4777.73 8275.27i 0.553094 0.957986i −0.444956 0.895553i \(-0.646781\pi\)
0.998049 0.0624335i \(-0.0198861\pi\)
\(422\) 2224.74 + 3853.37i 0.256632 + 0.444500i
\(423\) −7839.06 + 3622.82i −0.901059 + 0.416425i
\(424\) 5140.84 8904.20i 0.588824 1.01987i
\(425\) −7464.45 −0.851951
\(426\) 4194.74 + 19075.6i 0.477079 + 2.16952i
\(427\) −5196.54 + 1437.91i −0.588942 + 0.162964i
\(428\) −8147.83 14112.5i −0.920188 1.59381i
\(429\) 3708.26 + 1176.19i 0.417335 + 0.132370i
\(430\) 1414.41 + 2449.84i 0.158626 + 0.274748i
\(431\) −1817.99 + 3148.84i −0.203177 + 0.351913i −0.949550 0.313615i \(-0.898460\pi\)
0.746373 + 0.665527i \(0.231793\pi\)
\(432\) 4884.71 + 6433.96i 0.544018 + 0.716561i
\(433\) 2102.96 0.233399 0.116700 0.993167i \(-0.462768\pi\)
0.116700 + 0.993167i \(0.462768\pi\)
\(434\) 22091.0 6112.71i 2.44333 0.676082i
\(435\) −3632.57 + 3317.22i −0.400387 + 0.365629i
\(436\) −333.259 + 577.221i −0.0366060 + 0.0634034i
\(437\) 887.294 0.0971282
\(438\) −6761.09 2144.48i −0.737574 0.233944i
\(439\) −4046.29 −0.439907 −0.219953 0.975510i \(-0.570591\pi\)
−0.219953 + 0.975510i \(0.570591\pi\)
\(440\) 12986.2 1.40702
\(441\) −5213.72 + 7653.97i −0.562976 + 0.826473i
\(442\) −5672.28 −0.610414
\(443\) −3813.53 −0.408999 −0.204499 0.978867i \(-0.565557\pi\)
−0.204499 + 0.978867i \(0.565557\pi\)
\(444\) −20770.4 + 18967.3i −2.22009 + 2.02737i
\(445\) −2026.54 −0.215881
\(446\) −2358.37 + 4084.82i −0.250386 + 0.433681i
\(447\) −2961.66 939.381i −0.313382 0.0993986i
\(448\) −10024.8 + 2773.92i −1.05721 + 0.292534i
\(449\) 2025.85 0.212931 0.106465 0.994316i \(-0.466047\pi\)
0.106465 + 0.994316i \(0.466047\pi\)
\(450\) 9289.07 + 6551.74i 0.973091 + 0.686338i
\(451\) −3216.64 + 5571.39i −0.335844 + 0.581699i
\(452\) 16724.3 + 28967.3i 1.74036 + 3.01439i
\(453\) 4871.84 4448.92i 0.505296 0.461431i
\(454\) 8070.49 + 13978.5i 0.834288 + 1.44503i
\(455\) −1494.63 + 413.573i −0.153999 + 0.0426123i
\(456\) 12166.3 11110.1i 1.24943 1.14096i
\(457\) −18786.7 −1.92299 −0.961495 0.274822i \(-0.911381\pi\)
−0.961495 + 0.274822i \(0.911381\pi\)
\(458\) 8743.73 15144.6i 0.892069 1.54511i
\(459\) −12021.4 + 1519.94i −1.22246 + 0.154564i
\(460\) 514.662 + 891.420i 0.0521657 + 0.0903537i
\(461\) 2012.59 3485.90i 0.203331 0.352179i −0.746269 0.665645i \(-0.768157\pi\)
0.949600 + 0.313466i \(0.101490\pi\)
\(462\) 13845.5 22045.2i 1.39427 2.21999i
\(463\) −6347.17 10993.6i −0.637101 1.10349i −0.986066 0.166356i \(-0.946800\pi\)
0.348965 0.937136i \(-0.386533\pi\)
\(464\) 4388.44 7601.00i 0.439069 0.760490i
\(465\) 7815.55 + 2478.94i 0.779435 + 0.247221i
\(466\) −12256.3 21228.6i −1.21838 2.11029i
\(467\) −1929.44 3341.89i −0.191186 0.331144i 0.754457 0.656349i \(-0.227900\pi\)
−0.945644 + 0.325205i \(0.894567\pi\)
\(468\) 4679.05 + 3300.21i 0.462156 + 0.325967i
\(469\) 14875.5 4116.12i 1.46457 0.405255i
\(470\) −4838.33 + 8380.23i −0.474842 + 0.822450i
\(471\) −2862.67 13018.0i −0.280053 1.27354i
\(472\) −13189.5 −1.28622
\(473\) −5192.29 −0.504739
\(474\) 1880.31 + 8550.71i 0.182206 + 0.828581i
\(475\) 3639.07 6303.05i 0.351520 0.608850i
\(476\) −6313.60 + 24355.1i −0.607949 + 2.34520i
\(477\) 667.708 7342.59i 0.0640928 0.704810i
\(478\) 1572.53 + 2723.71i 0.150473 + 0.260627i
\(479\) −4745.91 8220.15i −0.452706 0.784109i 0.545848 0.837885i \(-0.316208\pi\)
−0.998553 + 0.0537755i \(0.982874\pi\)
\(480\) −637.782 202.292i −0.0606471 0.0192360i
\(481\) −2319.91 + 4018.20i −0.219914 + 0.380903i
\(482\) 7783.63 + 13481.6i 0.735549 + 1.27401i
\(483\) 1013.26 + 37.7022i 0.0954553 + 0.00355178i
\(484\) −13785.3 + 23876.8i −1.29463 + 2.24237i
\(485\) −772.324 1337.70i −0.0723081 0.125241i
\(486\) 16294.0 + 8660.02i 1.52081 + 0.808285i
\(487\) 7850.24 13597.0i 0.730448 1.26517i −0.226244 0.974071i \(-0.572645\pi\)
0.956692 0.291102i \(-0.0940220\pi\)
\(488\) 10961.7 1.01683
\(489\) 8243.63 7528.00i 0.762351 0.696172i
\(490\) 169.178 + 10375.9i 0.0155973 + 0.956606i
\(491\) 5964.99 + 10331.7i 0.548261 + 0.949616i 0.998394 + 0.0566544i \(0.0180433\pi\)
−0.450133 + 0.892962i \(0.648623\pi\)
\(492\) −6991.89 + 6384.92i −0.640688 + 0.585070i
\(493\) 6582.61 + 11401.4i 0.601350 + 1.04157i
\(494\) 2765.35 4789.72i 0.251860 0.436234i
\(495\) 8453.17 3906.63i 0.767559 0.354727i
\(496\) −14628.9 −1.32431
\(497\) 13773.1 3811.10i 1.24308 0.343967i
\(498\) −3035.66 962.852i −0.273155 0.0866394i
\(499\) −9098.13 + 15758.4i −0.816209 + 1.41372i 0.0922478 + 0.995736i \(0.470595\pi\)
−0.908457 + 0.417979i \(0.862739\pi\)
\(500\) 20654.7 1.84741
\(501\) −5375.34 + 4908.71i −0.479346 + 0.437734i
\(502\) 17958.3 1.59665
\(503\) 1851.20 0.164097 0.0820487 0.996628i \(-0.473854\pi\)
0.0820487 + 0.996628i \(0.473854\pi\)
\(504\) 14365.6 12170.4i 1.26963 1.07562i
\(505\) −12152.9 −1.07089
\(506\) −2850.22 −0.250411
\(507\) −9981.39 3165.90i −0.874338 0.277323i
\(508\) 18046.8 1.57618
\(509\) −10796.3 + 18699.7i −0.940151 + 1.62839i −0.174971 + 0.984574i \(0.555983\pi\)
−0.765180 + 0.643816i \(0.777350\pi\)
\(510\) −10026.2 + 9155.83i −0.870525 + 0.794955i
\(511\) −1302.32 + 5023.78i −0.112742 + 0.434910i
\(512\) 18537.6 1.60011
\(513\) 4577.22 10892.0i 0.393936 0.937413i
\(514\) 3876.96 6715.09i 0.332695 0.576245i
\(515\) −5887.21 10197.0i −0.503731 0.872488i
\(516\) −7284.42 2310.47i −0.621470 0.197118i
\(517\) −8880.71 15381.8i −0.755461 1.30850i
\(518\) 22132.4 + 21774.4i 1.87730 + 1.84694i
\(519\) 1492.38 + 6786.58i 0.126220 + 0.573984i
\(520\) 3152.81 0.265885
\(521\) −647.296 + 1121.15i −0.0544310 + 0.0942772i −0.891957 0.452120i \(-0.850668\pi\)
0.837526 + 0.546397i \(0.184001\pi\)
\(522\) 1815.64 19966.1i 0.152239 1.67412i
\(523\) 5051.51 + 8749.48i 0.422347 + 0.731526i 0.996169 0.0874543i \(-0.0278732\pi\)
−0.573822 + 0.818980i \(0.694540\pi\)
\(524\) −1124.21 + 1947.18i −0.0937236 + 0.162334i
\(525\) 4423.51 7043.23i 0.367729 0.585509i
\(526\) −9526.47 16500.3i −0.789684 1.36777i
\(527\) 10971.6 19003.3i 0.906887 1.57078i
\(528\) −12268.8 + 11203.7i −1.01123 + 0.923445i
\(529\) 6027.99 + 10440.8i 0.495438 + 0.858124i
\(530\) −4130.81 7154.77i −0.338549 0.586383i
\(531\) −8585.51 + 3967.80i −0.701656 + 0.324271i
\(532\) −17487.7 17204.9i −1.42516 1.40211i
\(533\) −780.945 + 1352.64i −0.0634643 + 0.109923i
\(534\) 6098.78 5569.34i 0.494232 0.451328i
\(535\) −6434.38 −0.519967
\(536\) −31378.6 −2.52864
\(537\) −5074.66 1609.58i −0.407799 0.129346i
\(538\) 932.224 1614.66i 0.0747045 0.129392i
\(539\) −16648.7 9253.55i −1.33044 0.739478i
\(540\) 13597.6 1719.23i 1.08360 0.137007i
\(541\) 284.987 + 493.612i 0.0226480 + 0.0392275i 0.877127 0.480258i \(-0.159457\pi\)
−0.854479 + 0.519485i \(0.826124\pi\)
\(542\) −1964.32 3402.30i −0.155673 0.269633i
\(543\) 995.803 + 4528.41i 0.0786998 + 0.357887i
\(544\) −895.327 + 1550.75i −0.0705640 + 0.122220i
\(545\) 131.588 + 227.917i 0.0103424 + 0.0179136i
\(546\) 3361.45 5352.19i 0.263474 0.419511i
\(547\) 7263.43 12580.6i 0.567755 0.983380i −0.429033 0.903289i \(-0.641145\pi\)
0.996788 0.0800915i \(-0.0255212\pi\)
\(548\) −10732.0 18588.4i −0.836585 1.44901i
\(549\) 7135.37 3297.61i 0.554700 0.256355i
\(550\) −11689.6 + 20247.1i −0.906269 + 1.56970i
\(551\) −12836.6 −0.992481
\(552\) −1964.94 623.239i −0.151510 0.0480558i
\(553\) 6173.88 1708.35i 0.474756 0.131368i
\(554\) −3248.05 5625.79i −0.249091 0.431438i
\(555\) 2385.30 + 10847.1i 0.182433 + 0.829613i
\(556\) 8640.90 + 14966.5i 0.659093 + 1.14158i
\(557\) −8262.96 + 14311.9i −0.628569 + 1.08871i 0.359270 + 0.933234i \(0.383026\pi\)
−0.987839 + 0.155480i \(0.950308\pi\)
\(558\) −30333.2 + 14018.5i −2.30127 + 1.06353i
\(559\) −1260.60 −0.0953803
\(560\) 1661.97 6411.16i 0.125413 0.483788i
\(561\) −5352.44 24340.2i −0.402817 1.83181i
\(562\) −7395.40 + 12809.2i −0.555082 + 0.961431i
\(563\) −20739.3 −1.55250 −0.776249 0.630427i \(-0.782880\pi\)
−0.776249 + 0.630427i \(0.782880\pi\)
\(564\) −5614.38 25531.4i −0.419163 1.90615i
\(565\) 13207.2 0.983419
\(566\) −12364.0 −0.918193
\(567\) 5689.84 12243.8i 0.421430 0.906861i
\(568\) −29053.4 −2.14622
\(569\) −14758.4 −1.08735 −0.543675 0.839296i \(-0.682968\pi\)
−0.543675 + 0.839296i \(0.682968\pi\)
\(570\) −2843.29 12929.9i −0.208934 0.950127i
\(571\) 9524.35 0.698041 0.349021 0.937115i \(-0.386514\pi\)
0.349021 + 0.937115i \(0.386514\pi\)
\(572\) −5888.25 + 10198.8i −0.430420 + 0.745509i
\(573\) 891.432 + 4053.79i 0.0649915 + 0.295549i
\(574\) 7450.35 + 7329.86i 0.541762 + 0.533001i
\(575\) −910.619 −0.0660442
\(576\) 13765.1 6361.53i 0.995738 0.460180i
\(577\) −3301.32 + 5718.06i −0.238190 + 0.412558i −0.960195 0.279330i \(-0.909888\pi\)
0.722005 + 0.691888i \(0.243221\pi\)
\(578\) 6202.26 + 10742.6i 0.446332 + 0.773070i
\(579\) 778.536 + 3540.39i 0.0558805 + 0.254117i
\(580\) −7445.67 12896.3i −0.533043 0.923257i
\(581\) −584.729 + 2255.63i −0.0417533 + 0.161066i
\(582\) 6000.57 + 1903.26i 0.427374 + 0.135554i
\(583\) 15164.1 1.07724
\(584\) 5275.54 9137.50i 0.373807 0.647453i
\(585\) 2052.28 948.462i 0.145045 0.0670326i
\(586\) −7487.90 12969.4i −0.527854 0.914270i
\(587\) −9789.93 + 16956.7i −0.688371 + 1.19229i 0.283994 + 0.958826i \(0.408341\pi\)
−0.972365 + 0.233467i \(0.924993\pi\)
\(588\) −19239.2 20390.4i −1.34934 1.43008i
\(589\) 10697.7 + 18529.0i 0.748373 + 1.29622i
\(590\) −5299.05 + 9178.22i −0.369760 + 0.640443i
\(591\) −94.3391 429.007i −0.00656615 0.0298596i
\(592\) −9907.78 17160.8i −0.687850 1.19139i
\(593\) −207.262 358.988i −0.0143528 0.0248598i 0.858760 0.512378i \(-0.171235\pi\)
−0.873113 + 0.487519i \(0.837902\pi\)
\(594\) −14703.2 + 34987.9i −1.01562 + 2.41679i
\(595\) 7081.81 + 6967.29i 0.487943 + 0.480052i
\(596\) 4702.75 8145.40i 0.323208 0.559813i
\(597\) 12789.5 + 4056.57i 0.876781 + 0.278098i
\(598\) −691.984 −0.0473200
\(599\) 3780.11 0.257849 0.128924 0.991654i \(-0.458848\pi\)
0.128924 + 0.991654i \(0.458848\pi\)
\(600\) −12486.1 + 11402.2i −0.849572 + 0.775820i
\(601\) −9461.13 + 16387.2i −0.642143 + 1.11222i 0.342811 + 0.939404i \(0.388621\pi\)
−0.984954 + 0.172819i \(0.944712\pi\)
\(602\) −2116.75 + 8165.51i −0.143310 + 0.552826i
\(603\) −20425.5 + 9439.65i −1.37942 + 0.637499i
\(604\) 9985.82 + 17295.9i 0.672711 + 1.16517i
\(605\) 5443.15 + 9427.81i 0.365777 + 0.633545i
\(606\) 36573.7 33398.8i 2.45166 2.23883i
\(607\) 14088.3 24401.6i 0.942050 1.63168i 0.180498 0.983575i \(-0.442229\pi\)
0.761552 0.648104i \(-0.224438\pi\)
\(608\) −872.979 1512.04i −0.0582302 0.100858i
\(609\) −14658.9 545.443i −0.975387 0.0362930i
\(610\) 4404.01 7627.97i 0.292317 0.506308i
\(611\) −2156.08 3734.44i −0.142759 0.247266i
\(612\) 3321.84 36529.3i 0.219408 2.41276i
\(613\) 3008.42 5210.73i 0.198220 0.343327i −0.749731 0.661742i \(-0.769817\pi\)
0.947951 + 0.318415i \(0.103151\pi\)
\(614\) 42751.9 2.80997
\(615\) 802.956 + 3651.44i 0.0526477 + 0.239415i
\(616\) 27604.3 + 27157.9i 1.80554 + 1.77634i
\(617\) 3597.75 + 6231.49i 0.234749 + 0.406597i 0.959200 0.282729i \(-0.0912399\pi\)
−0.724451 + 0.689327i \(0.757907\pi\)
\(618\) 45740.7 + 14508.0i 2.97728 + 0.944334i
\(619\) −4582.96 7937.92i −0.297584 0.515431i 0.677998 0.735063i \(-0.262848\pi\)
−0.975583 + 0.219632i \(0.929514\pi\)
\(620\) −12410.1 + 21494.9i −0.803874 + 1.39235i
\(621\) −1466.54 + 185.424i −0.0947668 + 0.0119820i
\(622\) −11812.6 −0.761480
\(623\) −4307.75 4238.09i −0.277025 0.272545i
\(624\) −2978.64 + 2720.07i −0.191092 + 0.174503i
\(625\) −1323.85 + 2292.98i −0.0847266 + 0.146751i
\(626\) 31708.4 2.02448
\(627\) 23162.5 + 7346.68i 1.47531 + 0.467940i
\(628\) 40348.6 2.56383
\(629\) 29723.1 1.88416
\(630\) −2697.53 14886.3i −0.170591 0.941402i
\(631\) 19395.9 1.22368 0.611838 0.790983i \(-0.290431\pi\)
0.611838 + 0.790983i \(0.290431\pi\)
\(632\) −13023.3 −0.819683
\(633\) −3504.76 + 3200.51i −0.220066 + 0.200962i
\(634\) −47445.7 −2.97209
\(635\) 3562.91 6171.15i 0.222661 0.385661i
\(636\) 21274.2 + 6747.75i 1.32638 + 0.420701i
\(637\) −4042.00 2246.60i −0.251413 0.139739i
\(638\) 41234.5 2.55876
\(639\) −18911.9 + 8740.14i −1.17080 + 0.541087i
\(640\) 7980.85 13823.2i 0.492923 0.853768i
\(641\) −3889.62 6737.03i −0.239674 0.415127i 0.720947 0.692990i \(-0.243707\pi\)
−0.960621 + 0.277863i \(0.910374\pi\)
\(642\) 19364.0 17683.0i 1.19040 1.08706i
\(643\) 1786.80 + 3094.83i 0.109587 + 0.189810i 0.915603 0.402083i \(-0.131714\pi\)
−0.806016 + 0.591894i \(0.798380\pi\)
\(644\) −770.222 + 2971.18i −0.0471289 + 0.181803i
\(645\) −2228.21 + 2034.77i −0.136024 + 0.124216i
\(646\) −35430.1 −2.15786
\(647\) 8518.34 14754.2i 0.517605 0.896518i −0.482186 0.876069i \(-0.660157\pi\)
0.999791 0.0204493i \(-0.00650967\pi\)
\(648\) −17786.9 + 20905.5i −1.07830 + 1.26736i
\(649\) −9726.36 16846.6i −0.588279 1.01893i
\(650\) −2838.04 + 4915.63i −0.171257 + 0.296626i
\(651\) 11429.1 + 21614.0i 0.688083 + 1.30126i
\(652\) 16897.0 + 29266.4i 1.01493 + 1.75792i
\(653\) −2113.89 + 3661.36i −0.126681 + 0.219418i −0.922389 0.386263i \(-0.873766\pi\)
0.795708 + 0.605681i \(0.207099\pi\)
\(654\) −1022.37 324.276i −0.0611283 0.0193887i
\(655\) 443.895 + 768.849i 0.0264800 + 0.0458648i
\(656\) −3335.23 5776.78i −0.198504 0.343819i
\(657\) 685.203 7534.98i 0.0406885 0.447439i
\(658\) −27810.3 + 7695.25i −1.64765 + 0.455915i
\(659\) 9443.52 16356.6i 0.558220 0.966866i −0.439425 0.898279i \(-0.644818\pi\)
0.997645 0.0685865i \(-0.0218489\pi\)
\(660\) 6054.22 + 27531.5i 0.357061 + 1.62373i
\(661\) −1558.01 −0.0916788 −0.0458394 0.998949i \(-0.514596\pi\)
−0.0458394 + 0.998949i \(0.514596\pi\)
\(662\) −35804.0 −2.10205
\(663\) −1299.48 5909.38i −0.0761200 0.346156i
\(664\) 2368.67 4102.65i 0.138437 0.239780i
\(665\) −9335.76 + 2583.26i −0.544399 + 0.150638i
\(666\) −36988.6 26088.7i −2.15207 1.51789i
\(667\) 803.038 + 1390.90i 0.0466173 + 0.0807436i
\(668\) −11017.8 19083.5i −0.638163 1.10533i
\(669\) −4795.84 1521.15i −0.277157 0.0879086i
\(670\) −12606.8 + 21835.6i −0.726929 + 1.25908i
\(671\) 8083.53 + 14001.1i 0.465069 + 0.805523i
\(672\) −932.663 1763.80i −0.0535391 0.101250i
\(673\) −4809.90 + 8330.98i −0.275495 + 0.477171i −0.970260 0.242066i \(-0.922175\pi\)
0.694765 + 0.719237i \(0.255508\pi\)
\(674\) 11398.8 + 19743.3i 0.651434 + 1.12832i
\(675\) −4697.54 + 11178.3i −0.267864 + 0.637412i
\(676\) 15849.2 27451.6i 0.901752 1.56188i
\(677\) 13651.3 0.774981 0.387491 0.921874i \(-0.373342\pi\)
0.387491 + 0.921874i \(0.373342\pi\)
\(678\) −39746.6 + 36296.2i −2.25141 + 2.05597i
\(679\) 1155.83 4458.68i 0.0653264 0.252001i
\(680\) −10098.6 17491.3i −0.569505 0.986412i
\(681\) −12713.9 + 11610.2i −0.715415 + 0.653309i
\(682\) −34363.9 59520.0i −1.92942 3.34185i
\(683\) 1545.24 2676.43i 0.0865694 0.149943i −0.819489 0.573094i \(-0.805743\pi\)
0.906059 + 0.423152i \(0.139076\pi\)
\(684\) 29226.2 + 20613.7i 1.63376 + 1.15232i
\(685\) −8475.12 −0.472726
\(686\) −21339.5 + 22409.6i −1.18768 + 1.24724i
\(687\) 17780.7 + 5639.69i 0.987448 + 0.313199i
\(688\) 2691.85 4662.43i 0.149166 0.258362i
\(689\) 3681.58 0.203566
\(690\) −1223.14 + 1116.96i −0.0674841 + 0.0616258i
\(691\) 1058.30 0.0582630 0.0291315 0.999576i \(-0.490726\pi\)
0.0291315 + 0.999576i \(0.490726\pi\)
\(692\) −21034.7 −1.15552
\(693\) 26138.6 + 9373.86i 1.43279 + 0.513829i
\(694\) 37033.3 2.02560
\(695\) 6823.76 0.372431
\(696\) 28427.0 + 9016.47i 1.54816 + 0.491047i
\(697\) 10005.6 0.543744
\(698\) 29175.4 50533.3i 1.58210 2.74028i
\(699\) 19308.1 17631.9i 1.04478 0.954078i
\(700\) 17947.4 + 17657.1i 0.969067 + 0.953395i
\(701\) 3542.05 0.190844 0.0954219 0.995437i \(-0.469580\pi\)
0.0954219 + 0.995437i \(0.469580\pi\)
\(702\) −3569.69 + 8494.45i −0.191922 + 0.456699i
\(703\) −14490.6 + 25098.4i −0.777415 + 1.34652i
\(704\) 15594.2 + 27009.9i 0.834841 + 1.44599i
\(705\) −9838.94 3120.72i −0.525611 0.166713i
\(706\) −15976.2 27671.5i −0.851658 1.47511i
\(707\) −25833.1 25415.4i −1.37419 1.35197i
\(708\) −6149.00 27962.6i −0.326403 1.48432i
\(709\) 20868.8 1.10542 0.552712 0.833372i \(-0.313593\pi\)
0.552712 + 0.833372i \(0.313593\pi\)
\(710\) −11672.6 + 20217.5i −0.616992 + 1.06866i
\(711\) −8477.36 + 3917.81i −0.447153 + 0.206652i
\(712\) 6142.81 + 10639.7i 0.323331 + 0.560026i
\(713\) 1338.47 2318.29i 0.0703029 0.121768i
\(714\) −40460.0 1505.47i −2.12070 0.0789087i
\(715\) 2324.99 + 4027.00i 0.121608 + 0.210631i
\(716\) 8057.93 13956.7i 0.420585 0.728475i
\(717\) −2477.30 + 2262.24i −0.129033 + 0.117831i
\(718\) −645.293 1117.68i −0.0335406 0.0580940i
\(719\) −4711.93 8161.31i −0.244403 0.423318i 0.717561 0.696496i \(-0.245258\pi\)
−0.961963 + 0.273178i \(0.911925\pi\)
\(720\) −874.431 + 9615.87i −0.0452613 + 0.497725i
\(721\) 8810.56 33987.3i 0.455094 1.75555i
\(722\) 566.803 981.732i 0.0292164 0.0506043i
\(723\) −12262.0 + 11197.5i −0.630745 + 0.575990i
\(724\) −14035.6 −0.720482
\(725\) 13174.0 0.674857
\(726\) −42290.5 13413.7i −2.16191 0.685715i
\(727\) −5340.37 + 9249.79i −0.272439 + 0.471879i −0.969486 0.245147i \(-0.921164\pi\)
0.697047 + 0.717026i \(0.254497\pi\)
\(728\) 6701.85 + 6593.46i 0.341191 + 0.335673i
\(729\) −5289.15 + 18959.0i −0.268717 + 0.963219i
\(730\) −4239.04 7342.23i −0.214923 0.372258i
\(731\) 4037.75 + 6993.59i 0.204298 + 0.353854i
\(732\) 5110.40 + 23239.6i 0.258041 + 1.17344i
\(733\) −13755.7 + 23825.6i −0.693149 + 1.20057i 0.277651 + 0.960682i \(0.410444\pi\)
−0.970801 + 0.239888i \(0.922889\pi\)
\(734\) −14614.0 25312.2i −0.734895 1.27288i
\(735\) −10770.9 + 2553.30i −0.540530 + 0.128136i
\(736\) −109.225 + 189.182i −0.00547020 + 0.00947467i
\(737\) −23139.6 40079.0i −1.15653 2.00316i
\(738\) −12451.4 8782.17i −0.621059 0.438044i
\(739\) 10392.7 18000.7i 0.517322 0.896028i −0.482476 0.875909i \(-0.660262\pi\)
0.999798 0.0201186i \(-0.00640440\pi\)
\(740\) −33620.2 −1.67014
\(741\) 5623.45 + 1783.65i 0.278789 + 0.0884262i
\(742\) 6181.99 23847.4i 0.305860 1.17987i
\(743\) 2159.74 + 3740.79i 0.106640 + 0.184705i 0.914407 0.404796i \(-0.132658\pi\)
−0.807767 + 0.589502i \(0.799324\pi\)
\(744\) −10675.6 48547.1i −0.526055 2.39224i
\(745\) −1856.89 3216.23i −0.0913171 0.158166i
\(746\) 2238.21 3876.69i 0.109848 0.190262i
\(747\) 307.650 3383.13i 0.0150687 0.165706i
\(748\) 75441.3 3.68771
\(749\) −13677.4 13456.2i −0.667237 0.656447i
\(750\) 7138.45 + 32462.1i 0.347546 + 1.58046i
\(751\) 4532.84 7851.11i 0.220247 0.381480i −0.734636 0.678462i \(-0.762647\pi\)
0.954883 + 0.296982i \(0.0959802\pi\)
\(752\) 18416.2 0.893045
\(753\) 4114.11 + 18708.9i 0.199106 + 0.905433i
\(754\) 10011.0 0.483528
\(755\) 7885.85 0.380126
\(756\) 32499.4 + 24782.0i 1.56348 + 1.19221i
\(757\) −21632.0 −1.03861 −0.519305 0.854589i \(-0.673809\pi\)
−0.519305 + 0.854589i \(0.673809\pi\)
\(758\) −30146.4 −1.44455
\(759\) −652.965 2969.36i −0.0312268 0.142004i
\(760\) 19693.1 0.939924
\(761\) −9534.67 + 16514.5i −0.454181 + 0.786664i −0.998641 0.0521229i \(-0.983401\pi\)
0.544460 + 0.838787i \(0.316735\pi\)
\(762\) 6237.15 + 28363.4i 0.296520 + 1.34842i
\(763\) −196.929 + 759.666i −0.00934379 + 0.0360443i
\(764\) −12564.5 −0.594985
\(765\) −11835.5 8347.76i −0.559362 0.394528i
\(766\) −10088.3 + 17473.4i −0.475855 + 0.824205i
\(767\) −2361.39 4090.05i −0.111167 0.192546i
\(768\) 8956.97 + 40731.8i 0.420842 + 1.91378i
\(769\) −13418.5 23241.4i −0.629235 1.08987i −0.987706 0.156326i \(-0.950035\pi\)
0.358471 0.933541i \(-0.383298\pi\)
\(770\) 29988.9 8298.10i 1.40354 0.388367i
\(771\) 7883.95 + 2500.63i 0.368267 + 0.116807i
\(772\) −10973.3 −0.511576
\(773\) −12766.9 + 22113.0i −0.594043 + 1.02891i 0.399639 + 0.916673i \(0.369136\pi\)
−0.993681