Properties

Label 63.4.h.a.25.9
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 25.9
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.9

$q$-expansion

\(f(q)\) \(=\) \(q-1.80909 q^{2} +(-5.15261 + 0.671239i) q^{3} -4.72719 q^{4} +(1.04890 - 1.81674i) q^{5} +(9.32155 - 1.21433i) q^{6} +(18.3541 + 2.47507i) q^{7} +23.0246 q^{8} +(26.0989 - 6.91727i) q^{9} +O(q^{10})\) \(q-1.80909 q^{2} +(-5.15261 + 0.671239i) q^{3} -4.72719 q^{4} +(1.04890 - 1.81674i) q^{5} +(9.32155 - 1.21433i) q^{6} +(18.3541 + 2.47507i) q^{7} +23.0246 q^{8} +(26.0989 - 6.91727i) q^{9} +(-1.89755 + 3.28665i) q^{10} +(-11.7410 - 20.3360i) q^{11} +(24.3574 - 3.17307i) q^{12} +(27.8713 + 48.2745i) q^{13} +(-33.2043 - 4.47763i) q^{14} +(-4.18509 + 10.0650i) q^{15} -3.83620 q^{16} +(55.3837 - 95.9274i) q^{17} +(-47.2153 + 12.5140i) q^{18} +(9.75396 + 16.8944i) q^{19} +(-4.95833 + 8.58807i) q^{20} +(-96.2331 - 0.433071i) q^{21} +(21.2405 + 36.7896i) q^{22} +(6.87475 - 11.9074i) q^{23} +(-118.637 + 15.4550i) q^{24} +(60.2996 + 104.442i) q^{25} +(-50.4217 - 87.3329i) q^{26} +(-129.834 + 53.1606i) q^{27} +(-86.7634 - 11.7001i) q^{28} +(59.9165 - 103.778i) q^{29} +(7.57121 - 18.2085i) q^{30} +158.986 q^{31} -177.257 q^{32} +(74.1471 + 96.9025i) q^{33} +(-100.194 + 173.541i) q^{34} +(23.7481 - 30.7486i) q^{35} +(-123.374 + 32.6992i) q^{36} +(-79.4438 - 137.601i) q^{37} +(-17.6458 - 30.5634i) q^{38} +(-176.014 - 230.031i) q^{39} +(24.1505 - 41.8298i) q^{40} +(208.432 + 361.015i) q^{41} +(174.095 + 0.783466i) q^{42} +(131.264 - 227.355i) q^{43} +(55.5018 + 96.1320i) q^{44} +(14.8081 - 54.6704i) q^{45} +(-12.4371 + 21.5416i) q^{46} +190.228 q^{47} +(19.7664 - 2.57500i) q^{48} +(330.748 + 90.8554i) q^{49} +(-109.088 - 188.945i) q^{50} +(-220.981 + 531.453i) q^{51} +(-131.753 - 228.202i) q^{52} +(175.888 - 304.647i) q^{53} +(234.882 - 96.1724i) q^{54} -49.2603 q^{55} +(422.597 + 56.9876i) q^{56} +(-61.5985 - 80.5029i) q^{57} +(-108.394 + 187.745i) q^{58} -127.835 q^{59} +(19.7837 - 47.5793i) q^{60} +724.553 q^{61} -287.620 q^{62} +(496.143 - 62.3639i) q^{63} +351.364 q^{64} +116.936 q^{65} +(-134.139 - 175.305i) q^{66} -998.911 q^{67} +(-261.809 + 453.467i) q^{68} +(-27.4302 + 65.9689i) q^{69} +(-42.9625 + 55.6270i) q^{70} -404.187 q^{71} +(600.917 - 159.268i) q^{72} +(-120.380 + 208.504i) q^{73} +(143.721 + 248.932i) q^{74} +(-380.806 - 497.674i) q^{75} +(-46.1088 - 79.8628i) q^{76} +(-165.163 - 402.309i) q^{77} +(318.425 + 416.148i) q^{78} -921.591 q^{79} +(-4.02377 + 6.96937i) q^{80} +(633.303 - 361.066i) q^{81} +(-377.073 - 653.109i) q^{82} +(-502.189 + 869.817i) q^{83} +(454.912 + 2.04721i) q^{84} +(-116.183 - 201.236i) q^{85} +(-237.468 + 411.307i) q^{86} +(-239.067 + 574.949i) q^{87} +(-270.332 - 468.229i) q^{88} +(-239.332 - 414.535i) q^{89} +(-26.7892 + 98.9037i) q^{90} +(392.070 + 955.019i) q^{91} +(-32.4982 + 56.2886i) q^{92} +(-819.194 + 106.718i) q^{93} -344.141 q^{94} +40.9235 q^{95} +(913.338 - 118.982i) q^{96} +(431.323 - 747.072i) q^{97} +(-598.354 - 164.366i) q^{98} +(-447.096 - 449.531i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80909 −0.639610 −0.319805 0.947483i \(-0.603617\pi\)
−0.319805 + 0.947483i \(0.603617\pi\)
\(3\) −5.15261 + 0.671239i −0.991621 + 0.129180i
\(4\) −4.72719 −0.590898
\(5\) 1.04890 1.81674i 0.0938161 0.162494i −0.815298 0.579042i \(-0.803427\pi\)
0.909114 + 0.416548i \(0.136760\pi\)
\(6\) 9.32155 1.21433i 0.634251 0.0826249i
\(7\) 18.3541 + 2.47507i 0.991030 + 0.133641i
\(8\) 23.0246 1.01756
\(9\) 26.0989 6.91727i 0.966625 0.256195i
\(10\) −1.89755 + 3.28665i −0.0600057 + 0.103933i
\(11\) −11.7410 20.3360i −0.321822 0.557412i 0.659042 0.752106i \(-0.270962\pi\)
−0.980864 + 0.194694i \(0.937629\pi\)
\(12\) 24.3574 3.17307i 0.585947 0.0763322i
\(13\) 27.8713 + 48.2745i 0.594623 + 1.02992i 0.993600 + 0.112957i \(0.0360321\pi\)
−0.398977 + 0.916961i \(0.630635\pi\)
\(14\) −33.2043 4.47763i −0.633873 0.0854783i
\(15\) −4.18509 + 10.0650i −0.0720390 + 0.173252i
\(16\) −3.83620 −0.0599405
\(17\) 55.3837 95.9274i 0.790148 1.36858i −0.135726 0.990746i \(-0.543337\pi\)
0.925875 0.377831i \(-0.123330\pi\)
\(18\) −47.2153 + 12.5140i −0.618264 + 0.163865i
\(19\) 9.75396 + 16.8944i 0.117774 + 0.203991i 0.918885 0.394525i \(-0.129091\pi\)
−0.801111 + 0.598516i \(0.795757\pi\)
\(20\) −4.95833 + 8.58807i −0.0554358 + 0.0960176i
\(21\) −96.2331 0.433071i −0.999990 0.00450019i
\(22\) 21.2405 + 36.7896i 0.205841 + 0.356526i
\(23\) 6.87475 11.9074i 0.0623254 0.107951i −0.833179 0.553003i \(-0.813482\pi\)
0.895504 + 0.445053i \(0.146815\pi\)
\(24\) −118.637 + 15.4550i −1.00903 + 0.131448i
\(25\) 60.2996 + 104.442i 0.482397 + 0.835536i
\(26\) −50.4217 87.3329i −0.380327 0.658746i
\(27\) −129.834 + 53.1606i −0.925431 + 0.378917i
\(28\) −86.7634 11.7001i −0.585598 0.0789683i
\(29\) 59.9165 103.778i 0.383663 0.664523i −0.607920 0.793998i \(-0.707996\pi\)
0.991583 + 0.129475i \(0.0413292\pi\)
\(30\) 7.57121 18.2085i 0.0460769 0.110814i
\(31\) 158.986 0.921121 0.460561 0.887628i \(-0.347648\pi\)
0.460561 + 0.887628i \(0.347648\pi\)
\(32\) −177.257 −0.979217
\(33\) 74.1471 + 96.9025i 0.391132 + 0.511168i
\(34\) −100.194 + 173.541i −0.505387 + 0.875356i
\(35\) 23.7481 30.7486i 0.114690 0.148499i
\(36\) −123.374 + 32.6992i −0.571177 + 0.151385i
\(37\) −79.4438 137.601i −0.352986 0.611389i 0.633785 0.773509i \(-0.281500\pi\)
−0.986771 + 0.162120i \(0.948167\pi\)
\(38\) −17.6458 30.5634i −0.0753297 0.130475i
\(39\) −176.014 230.031i −0.722686 0.944475i
\(40\) 24.1505 41.8298i 0.0954630 0.165347i
\(41\) 208.432 + 361.015i 0.793942 + 1.37515i 0.923509 + 0.383578i \(0.125308\pi\)
−0.129566 + 0.991571i \(0.541358\pi\)
\(42\) 174.095 + 0.783466i 0.639604 + 0.00287837i
\(43\) 131.264 227.355i 0.465524 0.806311i −0.533701 0.845673i \(-0.679199\pi\)
0.999225 + 0.0393623i \(0.0125327\pi\)
\(44\) 55.5018 + 96.1320i 0.190164 + 0.329374i
\(45\) 14.8081 54.6704i 0.0490547 0.181106i
\(46\) −12.4371 + 21.5416i −0.0398640 + 0.0690465i
\(47\) 190.228 0.590376 0.295188 0.955439i \(-0.404618\pi\)
0.295188 + 0.955439i \(0.404618\pi\)
\(48\) 19.7664 2.57500i 0.0594383 0.00774312i
\(49\) 330.748 + 90.8554i 0.964280 + 0.264885i
\(50\) −109.088 188.945i −0.308546 0.534418i
\(51\) −220.981 + 531.453i −0.606735 + 1.45918i
\(52\) −131.753 228.202i −0.351362 0.608577i
\(53\) 175.888 304.647i 0.455851 0.789557i −0.542886 0.839807i \(-0.682668\pi\)
0.998737 + 0.0502494i \(0.0160016\pi\)
\(54\) 234.882 96.1724i 0.591915 0.242359i
\(55\) −49.2603 −0.120768
\(56\) 422.597 + 56.9876i 1.00843 + 0.135987i
\(57\) −61.5985 80.5029i −0.143139 0.187068i
\(58\) −108.394 + 187.745i −0.245395 + 0.425036i
\(59\) −127.835 −0.282080 −0.141040 0.990004i \(-0.545045\pi\)
−0.141040 + 0.990004i \(0.545045\pi\)
\(60\) 19.7837 47.5793i 0.0425677 0.102374i
\(61\) 724.553 1.52081 0.760406 0.649448i \(-0.225000\pi\)
0.760406 + 0.649448i \(0.225000\pi\)
\(62\) −287.620 −0.589159
\(63\) 496.143 62.3639i 0.992192 0.124716i
\(64\) 351.364 0.686258
\(65\) 116.936 0.223141
\(66\) −134.139 175.305i −0.250172 0.326949i
\(67\) −998.911 −1.82144 −0.910720 0.413025i \(-0.864472\pi\)
−0.910720 + 0.413025i \(0.864472\pi\)
\(68\) −261.809 + 453.467i −0.466897 + 0.808690i
\(69\) −27.4302 + 65.9689i −0.0478581 + 0.115097i
\(70\) −42.9625 + 55.6270i −0.0733572 + 0.0949815i
\(71\) −404.187 −0.675607 −0.337804 0.941217i \(-0.609684\pi\)
−0.337804 + 0.941217i \(0.609684\pi\)
\(72\) 600.917 159.268i 0.983594 0.260693i
\(73\) −120.380 + 208.504i −0.193005 + 0.334295i −0.946245 0.323452i \(-0.895157\pi\)
0.753240 + 0.657746i \(0.228490\pi\)
\(74\) 143.721 + 248.932i 0.225773 + 0.391051i
\(75\) −380.806 497.674i −0.586290 0.766219i
\(76\) −46.1088 79.8628i −0.0695927 0.120538i
\(77\) −165.163 402.309i −0.244442 0.595420i
\(78\) 318.425 + 416.148i 0.462237 + 0.604096i
\(79\) −921.591 −1.31250 −0.656248 0.754546i \(-0.727857\pi\)
−0.656248 + 0.754546i \(0.727857\pi\)
\(80\) −4.02377 + 6.96937i −0.00562339 + 0.00973999i
\(81\) 633.303 361.066i 0.868728 0.495289i
\(82\) −377.073 653.109i −0.507814 0.879559i
\(83\) −502.189 + 869.817i −0.664125 + 1.15030i 0.315397 + 0.948960i \(0.397862\pi\)
−0.979522 + 0.201339i \(0.935471\pi\)
\(84\) 454.912 + 2.04721i 0.590892 + 0.00265915i
\(85\) −116.183 201.236i −0.148257 0.256789i
\(86\) −237.468 + 411.307i −0.297754 + 0.515725i
\(87\) −239.067 + 574.949i −0.294605 + 0.708517i
\(88\) −270.332 468.229i −0.327471 0.567197i
\(89\) −239.332 414.535i −0.285046 0.493714i 0.687574 0.726114i \(-0.258676\pi\)
−0.972620 + 0.232400i \(0.925342\pi\)
\(90\) −26.7892 + 98.9037i −0.0313759 + 0.115837i
\(91\) 392.070 + 955.019i 0.451650 + 1.10015i
\(92\) −32.4982 + 56.2886i −0.0368280 + 0.0637880i
\(93\) −819.194 + 106.718i −0.913403 + 0.118990i
\(94\) −344.141 −0.377610
\(95\) 40.9235 0.0441965
\(96\) 913.338 118.982i 0.971012 0.126495i
\(97\) 431.323 747.072i 0.451486 0.781997i −0.546992 0.837138i \(-0.684227\pi\)
0.998479 + 0.0551405i \(0.0175607\pi\)
\(98\) −598.354 164.366i −0.616764 0.169423i
\(99\) −447.096 449.531i −0.453887 0.456359i
\(100\) −285.048 493.717i −0.285048 0.493717i
\(101\) 637.016 + 1103.34i 0.627579 + 1.08700i 0.988036 + 0.154223i \(0.0492874\pi\)
−0.360457 + 0.932776i \(0.617379\pi\)
\(102\) 399.774 961.446i 0.388074 0.933308i
\(103\) 299.573 518.876i 0.286581 0.496373i −0.686410 0.727214i \(-0.740815\pi\)
0.972991 + 0.230842i \(0.0741479\pi\)
\(104\) 641.726 + 1111.50i 0.605062 + 1.04800i
\(105\) −101.725 + 174.376i −0.0945464 + 0.162070i
\(106\) −318.198 + 551.135i −0.291567 + 0.505009i
\(107\) −445.936 772.383i −0.402899 0.697842i 0.591175 0.806543i \(-0.298664\pi\)
−0.994074 + 0.108701i \(0.965331\pi\)
\(108\) 613.751 251.300i 0.546836 0.223902i
\(109\) −653.865 + 1132.53i −0.574577 + 0.995196i 0.421511 + 0.906824i \(0.361500\pi\)
−0.996087 + 0.0883729i \(0.971833\pi\)
\(110\) 89.1163 0.0772446
\(111\) 501.706 + 655.677i 0.429007 + 0.560668i
\(112\) −70.4100 9.49485i −0.0594029 0.00801052i
\(113\) −468.201 810.947i −0.389775 0.675111i 0.602644 0.798010i \(-0.294114\pi\)
−0.992419 + 0.122900i \(0.960781\pi\)
\(114\) 111.437 + 145.637i 0.0915532 + 0.119651i
\(115\) −14.4218 24.9793i −0.0116943 0.0202550i
\(116\) −283.237 + 490.580i −0.226706 + 0.392666i
\(117\) 1061.34 + 1067.12i 0.838638 + 0.843205i
\(118\) 231.265 0.180421
\(119\) 1253.95 1623.59i 0.965959 1.25070i
\(120\) −96.3602 + 231.744i −0.0733037 + 0.176293i
\(121\) 389.799 675.151i 0.292861 0.507251i
\(122\) −1310.78 −0.972727
\(123\) −1316.30 1720.26i −0.964932 1.26106i
\(124\) −751.557 −0.544289
\(125\) 515.216 0.368659
\(126\) −897.568 + 112.822i −0.634617 + 0.0797698i
\(127\) 1407.32 0.983301 0.491651 0.870793i \(-0.336394\pi\)
0.491651 + 0.870793i \(0.336394\pi\)
\(128\) 782.408 0.540279
\(129\) −523.741 + 1259.58i −0.357464 + 0.859691i
\(130\) −211.548 −0.142723
\(131\) −942.678 + 1632.77i −0.628719 + 1.08897i 0.359091 + 0.933303i \(0.383087\pi\)
−0.987809 + 0.155670i \(0.950246\pi\)
\(132\) −350.507 458.076i −0.231119 0.302049i
\(133\) 137.211 + 334.223i 0.0894562 + 0.217901i
\(134\) 1807.12 1.16501
\(135\) −39.6036 + 291.635i −0.0252484 + 0.185926i
\(136\) 1275.19 2208.69i 0.804020 1.39260i
\(137\) 485.766 + 841.371i 0.302933 + 0.524695i 0.976799 0.214159i \(-0.0687009\pi\)
−0.673866 + 0.738853i \(0.735368\pi\)
\(138\) 49.6238 119.344i 0.0306106 0.0736176i
\(139\) 143.370 + 248.324i 0.0874854 + 0.151529i 0.906448 0.422318i \(-0.138784\pi\)
−0.818962 + 0.573848i \(0.805450\pi\)
\(140\) −112.262 + 145.354i −0.0677704 + 0.0877478i
\(141\) −980.173 + 127.689i −0.585429 + 0.0762647i
\(142\) 731.211 0.432126
\(143\) 654.472 1133.58i 0.382725 0.662900i
\(144\) −100.120 + 26.5360i −0.0579400 + 0.0153565i
\(145\) −125.692 217.706i −0.0719875 0.124686i
\(146\) 217.778 377.202i 0.123448 0.213818i
\(147\) −1765.20 246.132i −0.990418 0.138100i
\(148\) 375.546 + 650.464i 0.208579 + 0.361269i
\(149\) 1122.40 1944.06i 0.617120 1.06888i −0.372889 0.927876i \(-0.621633\pi\)
0.990009 0.141006i \(-0.0450338\pi\)
\(150\) 688.914 + 900.338i 0.374997 + 0.490082i
\(151\) 1367.01 + 2367.74i 0.736728 + 1.27605i 0.953961 + 0.299930i \(0.0969635\pi\)
−0.217233 + 0.976120i \(0.569703\pi\)
\(152\) 224.581 + 388.987i 0.119842 + 0.207572i
\(153\) 781.897 2886.70i 0.413154 1.52533i
\(154\) 298.794 + 727.814i 0.156348 + 0.380837i
\(155\) 166.760 288.837i 0.0864160 0.149677i
\(156\) 832.050 + 1087.40i 0.427034 + 0.558089i
\(157\) 1155.56 0.587411 0.293706 0.955896i \(-0.405111\pi\)
0.293706 + 0.955896i \(0.405111\pi\)
\(158\) 1667.24 0.839486
\(159\) −701.793 + 1687.79i −0.350037 + 0.841828i
\(160\) −185.924 + 322.030i −0.0918663 + 0.159117i
\(161\) 155.652 201.535i 0.0761930 0.0986532i
\(162\) −1145.70 + 653.201i −0.555648 + 0.316792i
\(163\) −110.460 191.321i −0.0530789 0.0919353i 0.838265 0.545263i \(-0.183570\pi\)
−0.891344 + 0.453328i \(0.850237\pi\)
\(164\) −985.298 1706.59i −0.469139 0.812573i
\(165\) 253.819 33.0654i 0.119756 0.0156008i
\(166\) 908.506 1573.58i 0.424781 0.735743i
\(167\) −655.094 1134.66i −0.303549 0.525763i 0.673388 0.739289i \(-0.264838\pi\)
−0.976937 + 0.213526i \(0.931505\pi\)
\(168\) −2215.73 9.97132i −1.01754 0.00457919i
\(169\) −455.117 + 788.285i −0.207154 + 0.358801i
\(170\) 210.187 + 364.054i 0.0948269 + 0.164245i
\(171\) 371.430 + 373.453i 0.166105 + 0.167010i
\(172\) −620.508 + 1074.75i −0.275077 + 0.476448i
\(173\) −3988.06 −1.75264 −0.876319 0.481732i \(-0.840008\pi\)
−0.876319 + 0.481732i \(0.840008\pi\)
\(174\) 432.493 1040.14i 0.188432 0.453175i
\(175\) 848.246 + 2066.19i 0.366408 + 0.892509i
\(176\) 45.0407 + 78.0128i 0.0192902 + 0.0334116i
\(177\) 658.684 85.8078i 0.279716 0.0364390i
\(178\) 432.973 + 749.931i 0.182318 + 0.315785i
\(179\) 550.723 953.881i 0.229961 0.398304i −0.727835 0.685752i \(-0.759474\pi\)
0.957796 + 0.287448i \(0.0928069\pi\)
\(180\) −70.0007 + 258.437i −0.0289864 + 0.107015i
\(181\) −2585.41 −1.06173 −0.530863 0.847458i \(-0.678132\pi\)
−0.530863 + 0.847458i \(0.678132\pi\)
\(182\) −709.291 1727.72i −0.288880 0.703664i
\(183\) −3733.34 + 486.348i −1.50807 + 0.196458i
\(184\) 158.289 274.164i 0.0634196 0.109846i
\(185\) −333.313 −0.132463
\(186\) 1482.00 193.062i 0.584222 0.0761075i
\(187\) −2601.04 −1.01715
\(188\) −899.245 −0.348852
\(189\) −2514.57 + 654.368i −0.967768 + 0.251843i
\(190\) −74.0344 −0.0282685
\(191\) −2309.72 −0.875003 −0.437501 0.899218i \(-0.644136\pi\)
−0.437501 + 0.899218i \(0.644136\pi\)
\(192\) −1810.44 + 235.849i −0.680508 + 0.0886508i
\(193\) −2064.34 −0.769919 −0.384959 0.922934i \(-0.625785\pi\)
−0.384959 + 0.922934i \(0.625785\pi\)
\(194\) −780.302 + 1351.52i −0.288775 + 0.500174i
\(195\) −602.527 + 78.4921i −0.221271 + 0.0288253i
\(196\) −1563.51 429.491i −0.569792 0.156520i
\(197\) 289.661 0.104759 0.0523793 0.998627i \(-0.483320\pi\)
0.0523793 + 0.998627i \(0.483320\pi\)
\(198\) 808.837 + 813.242i 0.290311 + 0.291892i
\(199\) −356.099 + 616.781i −0.126850 + 0.219711i −0.922455 0.386106i \(-0.873820\pi\)
0.795604 + 0.605816i \(0.207153\pi\)
\(200\) 1388.38 + 2404.74i 0.490866 + 0.850204i
\(201\) 5147.01 670.508i 1.80618 0.235294i
\(202\) −1152.42 1996.05i −0.401406 0.695256i
\(203\) 1356.57 1756.47i 0.469029 0.607289i
\(204\) 1044.62 2512.28i 0.358519 0.862228i
\(205\) 874.494 0.297938
\(206\) −541.956 + 938.695i −0.183300 + 0.317485i
\(207\) 97.0565 358.325i 0.0325888 0.120315i
\(208\) −106.920 185.190i −0.0356420 0.0617338i
\(209\) 229.042 396.713i 0.0758047 0.131298i
\(210\) 184.030 315.463i 0.0604729 0.103662i
\(211\) 2560.52 + 4434.96i 0.835421 + 1.44699i 0.893687 + 0.448690i \(0.148109\pi\)
−0.0582665 + 0.998301i \(0.518557\pi\)
\(212\) −831.457 + 1440.13i −0.269362 + 0.466548i
\(213\) 2082.62 271.306i 0.669947 0.0872749i
\(214\) 806.738 + 1397.31i 0.257699 + 0.446347i
\(215\) −275.364 476.944i −0.0873472 0.151290i
\(216\) −2989.39 + 1224.00i −0.941677 + 0.385569i
\(217\) 2918.05 + 393.502i 0.912858 + 0.123100i
\(218\) 1182.90 2048.84i 0.367505 0.636538i
\(219\) 480.314 1155.14i 0.148204 0.356426i
\(220\) 232.863 0.0713618
\(221\) 6174.46 1.87936
\(222\) −907.632 1186.18i −0.274398 0.358609i
\(223\) 2662.56 4611.69i 0.799544 1.38485i −0.120370 0.992729i \(-0.538408\pi\)
0.919913 0.392121i \(-0.128259\pi\)
\(224\) −3253.40 438.724i −0.970433 0.130864i
\(225\) 2296.21 + 2308.71i 0.680357 + 0.684063i
\(226\) 847.018 + 1467.08i 0.249304 + 0.431808i
\(227\) −1538.19 2664.22i −0.449749 0.778988i 0.548620 0.836072i \(-0.315153\pi\)
−0.998369 + 0.0570832i \(0.981820\pi\)
\(228\) 291.188 + 380.552i 0.0845806 + 0.110538i
\(229\) 1715.33 2971.04i 0.494988 0.857344i −0.504995 0.863122i \(-0.668506\pi\)
0.999983 + 0.00577775i \(0.00183912\pi\)
\(230\) 26.0903 + 45.1898i 0.00747977 + 0.0129553i
\(231\) 1121.06 + 1962.08i 0.319310 + 0.558854i
\(232\) 1379.56 2389.46i 0.390398 0.676189i
\(233\) 3426.47 + 5934.81i 0.963413 + 1.66868i 0.713819 + 0.700330i \(0.246964\pi\)
0.249594 + 0.968351i \(0.419703\pi\)
\(234\) −1920.06 1930.51i −0.536401 0.539323i
\(235\) 199.530 345.596i 0.0553867 0.0959326i
\(236\) 604.300 0.166680
\(237\) 4748.60 618.608i 1.30150 0.169548i
\(238\) −2268.50 + 2937.21i −0.617837 + 0.799964i
\(239\) −2711.27 4696.06i −0.733797 1.27097i −0.955249 0.295803i \(-0.904413\pi\)
0.221451 0.975171i \(-0.428921\pi\)
\(240\) 16.0548 38.6114i 0.00431806 0.0103848i
\(241\) 543.588 + 941.522i 0.145293 + 0.251654i 0.929482 0.368867i \(-0.120254\pi\)
−0.784189 + 0.620522i \(0.786921\pi\)
\(242\) −705.181 + 1221.41i −0.187317 + 0.324443i
\(243\) −3020.80 + 2285.53i −0.797468 + 0.603362i
\(244\) −3425.10 −0.898645
\(245\) 511.981 505.586i 0.133507 0.131839i
\(246\) 2381.30 + 3112.12i 0.617180 + 0.806590i
\(247\) −543.711 + 941.735i −0.140063 + 0.242596i
\(248\) 3660.60 0.937292
\(249\) 2003.73 4818.92i 0.509965 1.22645i
\(250\) −932.073 −0.235798
\(251\) 1560.79 0.392496 0.196248 0.980554i \(-0.437124\pi\)
0.196248 + 0.980554i \(0.437124\pi\)
\(252\) −2345.36 + 294.806i −0.586285 + 0.0736946i
\(253\) −322.865 −0.0802307
\(254\) −2545.97 −0.628930
\(255\) 733.726 + 958.903i 0.180187 + 0.235486i
\(256\) −4226.36 −1.03183
\(257\) −1763.04 + 3053.67i −0.427919 + 0.741177i −0.996688 0.0813198i \(-0.974086\pi\)
0.568769 + 0.822497i \(0.307420\pi\)
\(258\) 947.496 2278.70i 0.228638 0.549867i
\(259\) −1117.55 2722.17i −0.268113 0.653078i
\(260\) −552.780 −0.131854
\(261\) 845.890 3122.96i 0.200610 0.740638i
\(262\) 1705.39 2953.82i 0.402135 0.696518i
\(263\) 2802.96 + 4854.86i 0.657177 + 1.13826i 0.981343 + 0.192264i \(0.0615831\pi\)
−0.324166 + 0.946000i \(0.605084\pi\)
\(264\) 1707.21 + 2231.15i 0.397998 + 0.520142i
\(265\) −368.977 639.087i −0.0855323 0.148146i
\(266\) −248.227 604.640i −0.0572172 0.139372i
\(267\) 1511.44 + 1975.29i 0.346436 + 0.452755i
\(268\) 4722.04 1.07629
\(269\) −3964.70 + 6867.07i −0.898633 + 1.55648i −0.0693891 + 0.997590i \(0.522105\pi\)
−0.829243 + 0.558888i \(0.811228\pi\)
\(270\) 71.6466 527.595i 0.0161492 0.118920i
\(271\) −980.645 1698.53i −0.219815 0.380731i 0.734936 0.678136i \(-0.237212\pi\)
−0.954751 + 0.297405i \(0.903879\pi\)
\(272\) −212.463 + 367.996i −0.0473619 + 0.0820333i
\(273\) −2661.23 4657.67i −0.589982 1.03258i
\(274\) −878.795 1522.12i −0.193759 0.335600i
\(275\) 1415.95 2452.50i 0.310492 0.537788i
\(276\) 129.668 311.848i 0.0282793 0.0680109i
\(277\) −2769.18 4796.36i −0.600664 1.04038i −0.992721 0.120440i \(-0.961570\pi\)
0.392056 0.919941i \(-0.371764\pi\)
\(278\) −259.369 449.241i −0.0559566 0.0969197i
\(279\) 4149.36 1099.75i 0.890379 0.235987i
\(280\) 546.792 707.976i 0.116704 0.151106i
\(281\) −3855.77 + 6678.39i −0.818562 + 1.41779i 0.0881789 + 0.996105i \(0.471895\pi\)
−0.906741 + 0.421687i \(0.861438\pi\)
\(282\) 1773.22 231.000i 0.374447 0.0487797i
\(283\) −3065.92 −0.643994 −0.321997 0.946741i \(-0.604354\pi\)
−0.321997 + 0.946741i \(0.604354\pi\)
\(284\) 1910.67 0.399215
\(285\) −210.863 + 27.4695i −0.0438262 + 0.00570930i
\(286\) −1184.00 + 2050.75i −0.244795 + 0.423998i
\(287\) 2932.05 + 7142.00i 0.603044 + 1.46892i
\(288\) −4626.21 + 1226.14i −0.946535 + 0.250871i
\(289\) −3678.21 6370.85i −0.748669 1.29673i
\(290\) 227.389 + 393.849i 0.0460439 + 0.0797504i
\(291\) −1720.97 + 4138.90i −0.346685 + 0.833768i
\(292\) 569.057 985.636i 0.114046 0.197534i
\(293\) 291.895 + 505.577i 0.0582003 + 0.100806i 0.893658 0.448750i \(-0.148130\pi\)
−0.835457 + 0.549555i \(0.814797\pi\)
\(294\) 3193.41 + 445.276i 0.633482 + 0.0883299i
\(295\) −134.086 + 232.243i −0.0264636 + 0.0458363i
\(296\) −1829.16 3168.21i −0.359183 0.622122i
\(297\) 2605.46 + 2016.15i 0.509037 + 0.393902i
\(298\) −2030.53 + 3516.98i −0.394716 + 0.683668i
\(299\) 766.432 0.148241
\(300\) 1800.14 + 2352.60i 0.346438 + 0.452758i
\(301\) 2971.95 3848.02i 0.569104 0.736865i
\(302\) −2473.05 4283.45i −0.471219 0.816175i
\(303\) −4022.91 5257.52i −0.762739 0.996820i
\(304\) −37.4181 64.8100i −0.00705946 0.0122273i
\(305\) 759.981 1316.32i 0.142677 0.247123i
\(306\) −1414.52 + 5222.31i −0.264258 + 0.975619i
\(307\) −3933.30 −0.731223 −0.365611 0.930768i \(-0.619140\pi\)
−0.365611 + 0.930768i \(0.619140\pi\)
\(308\) 780.754 + 1901.79i 0.144440 + 0.351833i
\(309\) −1195.30 + 2874.66i −0.220058 + 0.529234i
\(310\) −301.684 + 522.532i −0.0552726 + 0.0957349i
\(311\) −722.137 −0.131668 −0.0658338 0.997831i \(-0.520971\pi\)
−0.0658338 + 0.997831i \(0.520971\pi\)
\(312\) −4052.65 5296.39i −0.735373 0.961055i
\(313\) −1440.05 −0.260052 −0.130026 0.991511i \(-0.541506\pi\)
−0.130026 + 0.991511i \(0.541506\pi\)
\(314\) −2090.51 −0.375714
\(315\) 407.103 966.776i 0.0728179 0.172926i
\(316\) 4356.53 0.775551
\(317\) −7723.77 −1.36849 −0.684244 0.729254i \(-0.739867\pi\)
−0.684244 + 0.729254i \(0.739867\pi\)
\(318\) 1269.61 3053.37i 0.223887 0.538442i
\(319\) −2813.92 −0.493884
\(320\) 368.544 638.337i 0.0643820 0.111513i
\(321\) 2816.19 + 3680.46i 0.489671 + 0.639948i
\(322\) −281.588 + 364.595i −0.0487338 + 0.0630996i
\(323\) 2160.84 0.372237
\(324\) −2993.74 + 1706.83i −0.513330 + 0.292666i
\(325\) −3361.26 + 5821.87i −0.573689 + 0.993659i
\(326\) 199.831 + 346.118i 0.0339498 + 0.0588028i
\(327\) 2608.92 6274.37i 0.441203 1.06108i
\(328\) 4799.08 + 8312.25i 0.807880 + 1.39929i
\(329\) 3491.48 + 470.828i 0.585080 + 0.0788985i
\(330\) −459.182 + 59.8183i −0.0765974 + 0.00997846i
\(331\) −1653.90 −0.274642 −0.137321 0.990527i \(-0.543849\pi\)
−0.137321 + 0.990527i \(0.543849\pi\)
\(332\) 2373.94 4111.79i 0.392431 0.679710i
\(333\) −3025.21 3041.69i −0.497840 0.500551i
\(334\) 1185.13 + 2052.70i 0.194153 + 0.336283i
\(335\) −1047.75 + 1814.76i −0.170880 + 0.295973i
\(336\) 369.169 + 1.66135i 0.0599399 + 0.000269744i
\(337\) −2547.13 4411.76i −0.411725 0.713128i 0.583354 0.812218i \(-0.301740\pi\)
−0.995078 + 0.0990902i \(0.968407\pi\)
\(338\) 823.347 1426.08i 0.132498 0.229493i
\(339\) 2956.80 + 3864.22i 0.473720 + 0.619103i
\(340\) 549.221 + 951.279i 0.0876050 + 0.151736i
\(341\) −1866.65 3233.14i −0.296437 0.513444i
\(342\) −671.951 675.610i −0.106243 0.106821i
\(343\) 5845.72 + 2486.20i 0.920231 + 0.391376i
\(344\) 3022.30 5234.78i 0.473696 0.820466i
\(345\) 91.0770 + 119.028i 0.0142128 + 0.0185747i
\(346\) 7214.76 1.12101
\(347\) −9246.63 −1.43050 −0.715252 0.698867i \(-0.753688\pi\)
−0.715252 + 0.698867i \(0.753688\pi\)
\(348\) 1130.11 2717.89i 0.174082 0.418662i
\(349\) −1826.95 + 3164.36i −0.280213 + 0.485342i −0.971437 0.237298i \(-0.923738\pi\)
0.691224 + 0.722640i \(0.257072\pi\)
\(350\) −1534.55 3737.92i −0.234358 0.570858i
\(351\) −6184.95 4786.03i −0.940536 0.727804i
\(352\) 2081.17 + 3604.70i 0.315133 + 0.545827i
\(353\) −3348.17 5799.21i −0.504831 0.874393i −0.999984 0.00558738i \(-0.998221\pi\)
0.495153 0.868806i \(-0.335112\pi\)
\(354\) −1191.62 + 155.234i −0.178909 + 0.0233068i
\(355\) −423.950 + 734.302i −0.0633828 + 0.109782i
\(356\) 1131.37 + 1959.58i 0.168433 + 0.291735i
\(357\) −5371.29 + 9207.41i −0.796299 + 1.36501i
\(358\) −996.309 + 1725.66i −0.147085 + 0.254759i
\(359\) 2361.26 + 4089.83i 0.347139 + 0.601262i 0.985740 0.168276i \(-0.0538200\pi\)
−0.638601 + 0.769538i \(0.720487\pi\)
\(360\) 340.952 1258.77i 0.0499159 0.184286i
\(361\) 3239.22 5610.49i 0.472258 0.817976i
\(362\) 4677.25 0.679091
\(363\) −1555.29 + 3740.44i −0.224881 + 0.540833i
\(364\) −1853.39 4514.56i −0.266879 0.650074i
\(365\) 252.531 + 437.397i 0.0362140 + 0.0627244i
\(366\) 6753.96 879.848i 0.964577 0.125657i
\(367\) 506.931 + 878.031i 0.0721025 + 0.124885i 0.899823 0.436256i \(-0.143696\pi\)
−0.827720 + 0.561141i \(0.810362\pi\)
\(368\) −26.3729 + 45.6792i −0.00373582 + 0.00647063i
\(369\) 7937.08 + 7980.31i 1.11975 + 1.12585i
\(370\) 602.994 0.0847247
\(371\) 3982.30 5156.20i 0.557279 0.721554i
\(372\) 3872.48 504.474i 0.539728 0.0703112i
\(373\) −2604.70 + 4511.47i −0.361572 + 0.626261i −0.988220 0.153042i \(-0.951093\pi\)
0.626648 + 0.779303i \(0.284426\pi\)
\(374\) 4705.51 0.650578
\(375\) −2654.71 + 345.833i −0.365570 + 0.0476233i
\(376\) 4379.94 0.600740
\(377\) 6679.80 0.912539
\(378\) 4549.09 1183.81i 0.618995 0.161081i
\(379\) 6181.07 0.837731 0.418865 0.908048i \(-0.362428\pi\)
0.418865 + 0.908048i \(0.362428\pi\)
\(380\) −193.453 −0.0261156
\(381\) −7251.37 + 944.646i −0.975062 + 0.127023i
\(382\) 4178.50 0.559661
\(383\) 1214.42 2103.44i 0.162021 0.280629i −0.773572 0.633708i \(-0.781532\pi\)
0.935593 + 0.353079i \(0.114865\pi\)
\(384\) −4031.45 + 525.182i −0.535752 + 0.0697932i
\(385\) −904.129 121.923i −0.119685 0.0161396i
\(386\) 3734.58 0.492448
\(387\) 1853.16 6841.70i 0.243414 0.898665i
\(388\) −2038.94 + 3531.55i −0.266783 + 0.462081i
\(389\) −4799.00 8312.11i −0.625498 1.08339i −0.988444 0.151585i \(-0.951562\pi\)
0.362946 0.931810i \(-0.381771\pi\)
\(390\) 1090.03 141.999i 0.141527 0.0184370i
\(391\) −761.498 1318.95i −0.0984927 0.170594i
\(392\) 7615.36 + 2091.91i 0.981208 + 0.269535i
\(393\) 3761.28 9045.77i 0.482777 1.16107i
\(394\) −524.023 −0.0670048
\(395\) −966.653 + 1674.29i −0.123133 + 0.213273i
\(396\) 2113.51 + 2125.02i 0.268201 + 0.269662i
\(397\) −1454.85 2519.87i −0.183921 0.318561i 0.759291 0.650751i \(-0.225546\pi\)
−0.943212 + 0.332190i \(0.892212\pi\)
\(398\) 644.215 1115.81i 0.0811347 0.140529i
\(399\) −931.337 1630.02i −0.116855 0.204519i
\(400\) −231.321 400.660i −0.0289151 0.0500825i
\(401\) −6811.46 + 11797.8i −0.848250 + 1.46921i 0.0345184 + 0.999404i \(0.489010\pi\)
−0.882769 + 0.469808i \(0.844323\pi\)
\(402\) −9311.40 + 1213.01i −1.15525 + 0.150496i
\(403\) 4431.15 + 7674.97i 0.547720 + 0.948679i
\(404\) −3011.29 5215.72i −0.370835 0.642306i
\(405\) 8.30539 1529.27i 0.00101901 0.187629i
\(406\) −2454.17 + 3177.61i −0.299996 + 0.388429i
\(407\) −1865.50 + 3231.13i −0.227197 + 0.393517i
\(408\) −5088.00 + 12236.5i −0.617387 + 1.48480i
\(409\) −3876.99 −0.468716 −0.234358 0.972150i \(-0.575299\pi\)
−0.234358 + 0.972150i \(0.575299\pi\)
\(410\) −1582.04 −0.190564
\(411\) −3067.73 4009.20i −0.368174 0.481166i
\(412\) −1416.14 + 2452.83i −0.169340 + 0.293306i
\(413\) −2346.30 316.400i −0.279549 0.0376974i
\(414\) −175.584 + 648.242i −0.0208442 + 0.0769550i
\(415\) 1053.49 + 1824.69i 0.124611 + 0.215833i
\(416\) −4940.38 8557.00i −0.582265 1.00851i
\(417\) −905.414 1183.28i −0.106327 0.138958i
\(418\) −414.358 + 717.689i −0.0484855 + 0.0839793i
\(419\) −4355.74 7544.37i −0.507857 0.879634i −0.999959 0.00909631i \(-0.997105\pi\)
0.492102 0.870538i \(-0.336229\pi\)
\(420\) 480.874 824.310i 0.0558673 0.0957671i
\(421\) −3899.07 + 6753.39i −0.451376 + 0.781806i −0.998472 0.0552641i \(-0.982400\pi\)
0.547096 + 0.837070i \(0.315733\pi\)
\(422\) −4632.22 8023.25i −0.534344 0.925511i
\(423\) 4964.75 1315.86i 0.570672 0.151251i
\(424\) 4049.76 7014.40i 0.463854 0.803418i
\(425\) 13358.5 1.52466
\(426\) −3767.65 + 490.817i −0.428505 + 0.0558220i
\(427\) 13298.5 + 1793.32i 1.50717 + 0.203243i
\(428\) 2108.02 + 3651.20i 0.238073 + 0.412354i
\(429\) −2611.34 + 6280.21i −0.293885 + 0.706786i
\(430\) 498.158 + 862.835i 0.0558682 + 0.0967666i
\(431\) 4725.88 8185.46i 0.528162 0.914803i −0.471299 0.881973i \(-0.656215\pi\)
0.999461 0.0328294i \(-0.0104518\pi\)
\(432\) 498.070 203.934i 0.0554708 0.0227125i
\(433\) 3004.68 0.333478 0.166739 0.986001i \(-0.446676\pi\)
0.166739 + 0.986001i \(0.446676\pi\)
\(434\) −5279.02 711.880i −0.583874 0.0787358i
\(435\) 793.777 + 1037.38i 0.0874912 + 0.114342i
\(436\) 3090.94 5353.67i 0.339517 0.588060i
\(437\) 268.224 0.0293613
\(438\) −868.933 + 2089.76i −0.0947927 + 0.227974i
\(439\) 2084.94 0.226672 0.113336 0.993557i \(-0.463846\pi\)
0.113336 + 0.993557i \(0.463846\pi\)
\(440\) −1134.20 −0.122888
\(441\) 9260.62 + 83.3516i 0.999959 + 0.00900028i
\(442\) −11170.2 −1.20206
\(443\) 13926.6 1.49362 0.746808 0.665040i \(-0.231585\pi\)
0.746808 + 0.665040i \(0.231585\pi\)
\(444\) −2371.66 3099.51i −0.253500 0.331298i
\(445\) −1004.14 −0.106968
\(446\) −4816.82 + 8342.97i −0.511397 + 0.885765i
\(447\) −4478.38 + 10770.4i −0.473871 + 1.13965i
\(448\) 6448.98 + 869.650i 0.680102 + 0.0917123i
\(449\) 6510.81 0.684330 0.342165 0.939640i \(-0.388840\pi\)
0.342165 + 0.939640i \(0.388840\pi\)
\(450\) −4154.05 4176.67i −0.435164 0.437534i
\(451\) 4894.40 8477.34i 0.511016 0.885105i
\(452\) 2213.27 + 3833.50i 0.230318 + 0.398922i
\(453\) −8633.01 11282.4i −0.895395 1.17019i
\(454\) 2782.72 + 4819.82i 0.287664 + 0.498249i
\(455\) 2146.26 + 289.425i 0.221139 + 0.0298208i
\(456\) −1418.28 1853.55i −0.145652 0.190352i
\(457\) −2404.12 −0.246083 −0.123042 0.992402i \(-0.539265\pi\)
−0.123042 + 0.992402i \(0.539265\pi\)
\(458\) −3103.19 + 5374.88i −0.316599 + 0.548366i
\(459\) −2091.15 + 15398.9i −0.212650 + 1.56592i
\(460\) 68.1745 + 118.082i 0.00691012 + 0.0119687i
\(461\) −7955.77 + 13779.8i −0.803768 + 1.39217i 0.113352 + 0.993555i \(0.463841\pi\)
−0.917120 + 0.398612i \(0.869492\pi\)
\(462\) −2028.11 3549.58i −0.204234 0.357449i
\(463\) −1500.50 2598.94i −0.150614 0.260870i 0.780840 0.624732i \(-0.214792\pi\)
−0.931453 + 0.363861i \(0.881458\pi\)
\(464\) −229.851 + 398.114i −0.0229970 + 0.0398319i
\(465\) −665.371 + 1600.20i −0.0663566 + 0.159586i
\(466\) −6198.79 10736.6i −0.616209 1.06731i
\(467\) −3778.59 6544.71i −0.374416 0.648507i 0.615823 0.787884i \(-0.288823\pi\)
−0.990239 + 0.139377i \(0.955490\pi\)
\(468\) −5017.14 5044.46i −0.495550 0.498248i
\(469\) −18334.1 2472.37i −1.80510 0.243419i
\(470\) −360.967 + 625.214i −0.0354259 + 0.0613595i
\(471\) −5954.14 + 775.655i −0.582489 + 0.0758817i
\(472\) −2943.36 −0.287032
\(473\) −6164.66 −0.599263
\(474\) −8590.66 + 1119.12i −0.832452 + 0.108445i
\(475\) −1176.32 + 2037.45i −0.113628 + 0.196809i
\(476\) −5927.64 + 7674.99i −0.570784 + 0.739039i
\(477\) 2483.16 9167.62i 0.238356 0.879993i
\(478\) 4904.94 + 8495.60i 0.469345 + 0.812929i
\(479\) 5895.39 + 10211.1i 0.562353 + 0.974024i 0.997291 + 0.0735633i \(0.0234371\pi\)
−0.434938 + 0.900461i \(0.643230\pi\)
\(480\) 741.837 1784.10i 0.0705418 0.169651i
\(481\) 4428.40 7670.21i 0.419787 0.727093i
\(482\) −983.400 1703.30i −0.0929308 0.160961i
\(483\) −666.735 + 1142.91i −0.0628106 + 0.107669i
\(484\) −1842.65 + 3191.57i −0.173051 + 0.299734i
\(485\) −904.825 1567.20i −0.0847133 0.146728i
\(486\) 5464.91 4134.73i 0.510069 0.385916i
\(487\) 2814.85 4875.46i 0.261916 0.453651i −0.704835 0.709371i \(-0.748979\pi\)
0.966751 + 0.255720i \(0.0823125\pi\)
\(488\) 16682.6 1.54751
\(489\) 697.578 + 911.661i 0.0645103 + 0.0843083i
\(490\) −926.220 + 914.651i −0.0853926 + 0.0843259i
\(491\) −4852.62 8404.98i −0.446019 0.772528i 0.552103 0.833776i \(-0.313825\pi\)
−0.998123 + 0.0612476i \(0.980492\pi\)
\(492\) 6222.39 + 8132.01i 0.570177 + 0.745161i
\(493\) −6636.80 11495.3i −0.606301 1.05014i
\(494\) 983.622 1703.68i 0.0895856 0.155167i
\(495\) −1285.64 + 340.747i −0.116738 + 0.0309402i
\(496\) −609.902 −0.0552125
\(497\) −7418.49 1000.39i −0.669547 0.0902890i
\(498\) −3624.93 + 8717.86i −0.326179 + 0.784452i
\(499\) −3661.41 + 6341.75i −0.328471 + 0.568929i −0.982209 0.187792i \(-0.939867\pi\)
0.653737 + 0.756721i \(0.273200\pi\)
\(500\) −2435.52 −0.217840
\(501\) 4137.07 + 5406.72i 0.368924 + 0.482145i
\(502\) −2823.62 −0.251044
\(503\) 469.151 0.0415873 0.0207936 0.999784i \(-0.493381\pi\)
0.0207936 + 0.999784i \(0.493381\pi\)
\(504\) 11423.5 1435.91i 1.00961 0.126906i
\(505\) 2672.65 0.235508
\(506\) 584.093 0.0513164
\(507\) 1815.91 4367.22i 0.159068 0.382554i
\(508\) −6652.66 −0.581031
\(509\) −4738.52 + 8207.35i −0.412635 + 0.714704i −0.995177 0.0980962i \(-0.968725\pi\)
0.582542 + 0.812800i \(0.302058\pi\)
\(510\) −1327.38 1734.74i −0.115250 0.150619i
\(511\) −2725.52 + 3528.96i −0.235949 + 0.305503i
\(512\) 1386.61 0.119688
\(513\) −2164.51 1674.94i −0.186288 0.144153i
\(514\) 3189.49 5524.37i 0.273701 0.474065i
\(515\) −628.443 1088.49i −0.0537718 0.0931355i
\(516\) 2475.82 5954.29i 0.211225 0.507990i
\(517\) −2233.47 3868.48i −0.189996 0.329082i
\(518\) 2021.75 + 4924.65i 0.171488 + 0.417716i
\(519\) 20548.9 2676.94i 1.73795 0.226406i
\(520\) 2692.42 0.227058
\(521\) −1997.47 + 3459.71i −0.167966 + 0.290926i −0.937705 0.347433i \(-0.887053\pi\)
0.769738 + 0.638360i \(0.220387\pi\)
\(522\) −1530.29 + 5649.72i −0.128312 + 0.473720i
\(523\) 11193.5 + 19387.6i 0.935861 + 1.62096i 0.773091 + 0.634296i \(0.218710\pi\)
0.162771 + 0.986664i \(0.447957\pi\)
\(524\) 4456.21 7718.39i 0.371509 0.643472i
\(525\) −5757.59 10076.9i −0.478632 0.837699i
\(526\) −5070.80 8782.89i −0.420337 0.728046i
\(527\) 8805.24 15251.1i 0.727822 1.26063i
\(528\) −284.443 371.737i −0.0234446 0.0306397i
\(529\) 5988.98 + 10373.2i 0.492231 + 0.852569i
\(530\) 667.513 + 1156.17i 0.0547074 + 0.0947559i
\(531\) −3336.35 + 884.269i −0.272665 + 0.0722674i
\(532\) −648.621 1579.93i −0.0528596 0.128757i
\(533\) −11618.5 + 20123.9i −0.944193 + 1.63539i
\(534\) −2734.32 3573.48i −0.221584 0.289587i
\(535\) −1870.96 −0.151194
\(536\) −22999.6 −1.85342
\(537\) −2197.38 + 5284.65i −0.176581 + 0.424673i
\(538\) 7172.51 12423.2i 0.574775 0.995539i
\(539\) −2035.67 7792.82i −0.162677 0.622747i
\(540\) 187.214 1378.61i 0.0149193 0.109863i
\(541\) −4232.81 7331.44i −0.336382 0.582631i 0.647367 0.762178i \(-0.275870\pi\)
−0.983749 + 0.179547i \(0.942537\pi\)
\(542\) 1774.08 + 3072.79i 0.140596 + 0.243520i
\(543\) 13321.6 1735.43i 1.05283 0.137154i
\(544\) −9817.16 + 17003.8i −0.773727 + 1.34013i
\(545\) 1371.67 + 2375.81i 0.107809 + 0.186731i
\(546\) 4814.42 + 8426.16i 0.377359 + 0.660451i
\(547\) 8049.79 13942.6i 0.629221 1.08984i −0.358487 0.933535i \(-0.616707\pi\)
0.987708 0.156308i \(-0.0499594\pi\)
\(548\) −2296.31 3977.32i −0.179002 0.310041i
\(549\) 18910.0 5011.93i 1.47005 0.389625i
\(550\) −2561.59 + 4436.80i −0.198594 + 0.343975i
\(551\) 2337.69 0.180742
\(552\) −631.571 + 1518.91i −0.0486983 + 0.117118i
\(553\) −16915.0 2281.00i −1.30072 0.175403i
\(554\) 5009.70 + 8677.06i 0.384191 + 0.665439i
\(555\) 1717.43 223.733i 0.131353 0.0171116i
\(556\) −677.736 1173.87i −0.0516950 0.0895384i
\(557\) 1064.93 1844.51i 0.0810098 0.140313i −0.822674 0.568513i \(-0.807519\pi\)
0.903684 + 0.428200i \(0.140852\pi\)
\(558\) −7506.57 + 1989.55i −0.569496 + 0.150940i
\(559\) 14633.9 1.10724
\(560\) −91.1024 + 117.958i −0.00687461 + 0.00890111i
\(561\) 13402.1 1745.92i 1.00863 0.131395i
\(562\) 6975.44 12081.8i 0.523561 0.906834i
\(563\) 23668.7 1.77179 0.885893 0.463890i \(-0.153547\pi\)
0.885893 + 0.463890i \(0.153547\pi\)
\(564\) 4633.46 603.608i 0.345929 0.0450647i
\(565\) −1964.37 −0.146269
\(566\) 5546.54 0.411905
\(567\) 12517.4 5059.58i 0.927126 0.374749i
\(568\) −9306.26 −0.687468
\(569\) 18495.6 1.36270 0.681349 0.731959i \(-0.261394\pi\)
0.681349 + 0.731959i \(0.261394\pi\)
\(570\) 381.471 49.6948i 0.0280317 0.00365173i
\(571\) 17098.8 1.25318 0.626589 0.779350i \(-0.284451\pi\)
0.626589 + 0.779350i \(0.284451\pi\)
\(572\) −3093.81 + 5358.64i −0.226152 + 0.391707i
\(573\) 11901.1 1550.37i 0.867671 0.113033i
\(574\) −5304.35 12920.5i −0.385713 0.939534i
\(575\) 1658.18 0.120262
\(576\) 9170.21 2430.48i 0.663354 0.175816i
\(577\) −9919.30 + 17180.7i −0.715677 + 1.23959i 0.247020 + 0.969010i \(0.420549\pi\)
−0.962698 + 0.270579i \(0.912785\pi\)
\(578\) 6654.22 + 11525.4i 0.478857 + 0.829404i
\(579\) 10636.7 1385.66i 0.763468 0.0994581i
\(580\) 594.171 + 1029.14i 0.0425373 + 0.0736767i
\(581\) −11370.1 + 14721.8i −0.811895 + 1.05123i
\(582\) 3113.40 7487.64i 0.221743 0.533287i
\(583\) −8260.40 −0.586811
\(584\) −2771.70 + 4800.72i −0.196393 + 0.340163i
\(585\) 3051.91 808.880i 0.215694 0.0571676i
\(586\) −528.065 914.635i −0.0372255 0.0644765i
\(587\) 2844.95 4927.59i 0.200040 0.346480i −0.748501 0.663134i \(-0.769226\pi\)
0.948541 + 0.316654i \(0.102559\pi\)
\(588\) 8344.45 + 1163.51i 0.585237 + 0.0816028i
\(589\) 1550.74 + 2685.97i 0.108484 + 0.187900i
\(590\) 242.573 420.149i 0.0169264 0.0293174i
\(591\) −1492.51 + 194.431i −0.103881 + 0.0135327i
\(592\) 304.762 + 527.863i 0.0211582 + 0.0366470i
\(593\) −13577.3 23516.6i −0.940225 1.62852i −0.765042 0.643981i \(-0.777282\pi\)
−0.175183 0.984536i \(-0.556052\pi\)
\(594\) −4713.51 3647.40i −0.325585 0.251944i
\(595\) −1634.37 3981.07i −0.112610 0.274299i
\(596\) −5305.81 + 9189.93i −0.364655 + 0.631601i
\(597\) 1420.83 3417.06i 0.0974050 0.234256i
\(598\) −1386.55 −0.0948162
\(599\) −20353.2 −1.38833 −0.694165 0.719816i \(-0.744226\pi\)
−0.694165 + 0.719816i \(0.744226\pi\)
\(600\) −8767.93 11458.8i −0.596582 0.779671i
\(601\) 14628.9 25338.1i 0.992891 1.71974i 0.393361 0.919384i \(-0.371312\pi\)
0.599529 0.800353i \(-0.295355\pi\)
\(602\) −5376.53 + 6961.42i −0.364005 + 0.471306i
\(603\) −26070.5 + 6909.74i −1.76065 + 0.466644i
\(604\) −6462.13 11192.7i −0.435331 0.754016i
\(605\) −817.716 1416.33i −0.0549502 0.0951766i
\(606\) 7277.81 + 9511.33i 0.487856 + 0.637577i
\(607\) −12797.9 + 22166.6i −0.855766 + 1.48223i 0.0201659 + 0.999797i \(0.493581\pi\)
−0.875932 + 0.482434i \(0.839753\pi\)
\(608\) −1728.96 2994.65i −0.115327 0.199751i
\(609\) −5810.90 + 9960.98i −0.386649 + 0.662790i
\(610\) −1374.87 + 2381.35i −0.0912574 + 0.158063i
\(611\) 5301.91 + 9183.17i 0.351051 + 0.608038i
\(612\) −3696.17 + 13646.0i −0.244132 + 0.901317i
\(613\) 4831.57 8368.52i 0.318345 0.551389i −0.661798 0.749682i \(-0.730206\pi\)
0.980143 + 0.198293i \(0.0635398\pi\)
\(614\) 7115.70 0.467698
\(615\) −4505.93 + 586.995i −0.295442 + 0.0384877i
\(616\) −3802.81 9263.02i −0.248733 0.605873i
\(617\) 5763.95 + 9983.45i 0.376090 + 0.651408i 0.990490 0.137588i \(-0.0439349\pi\)
−0.614399 + 0.788995i \(0.710602\pi\)
\(618\) 2162.40 5200.51i 0.140752 0.338504i
\(619\) 7322.06 + 12682.2i 0.475441 + 0.823489i 0.999604 0.0281293i \(-0.00895501\pi\)
−0.524163 + 0.851618i \(0.675622\pi\)
\(620\) −788.305 + 1365.38i −0.0510631 + 0.0884438i
\(621\) −259.573 + 1911.46i −0.0167734 + 0.123517i
\(622\) 1306.41 0.0842159
\(623\) −3366.72 8200.78i −0.216509 0.527379i
\(624\) 675.223 + 882.446i 0.0433182 + 0.0566123i
\(625\) −6997.05 + 12119.2i −0.447811 + 0.775631i
\(626\) 2605.17 0.166332
\(627\) −913.877 + 2197.85i −0.0582085 + 0.139990i
\(628\) −5462.54 −0.347100
\(629\) −17599.6 −1.11564
\(630\) −736.487 + 1748.99i −0.0465751 + 0.110605i
\(631\) −17953.8 −1.13269 −0.566347 0.824167i \(-0.691644\pi\)
−0.566347 + 0.824167i \(0.691644\pi\)
\(632\) −21219.3 −1.33554
\(633\) −16170.3 21132.9i −1.01534 1.32695i
\(634\) 13973.0 0.875299
\(635\) 1476.13 2556.73i 0.0922495 0.159781i
\(636\) 3317.51 7978.52i 0.206836 0.497435i
\(637\) 4832.37 + 18498.9i 0.300574 + 1.15064i
\(638\) 5090.63 0.315893
\(639\) −10548.8 + 2795.87i −0.653059 + 0.173087i
\(640\) 820.664 1421.43i 0.0506869 0.0877922i
\(641\) −8246.56 14283.5i −0.508142 0.880129i −0.999956 0.00942780i \(-0.996999\pi\)
0.491813 0.870701i \(-0.336334\pi\)
\(642\) −5094.74 6658.30i −0.313198 0.409318i
\(643\) 485.787 + 841.407i 0.0297940 + 0.0516047i 0.880538 0.473976i \(-0.157182\pi\)
−0.850744 + 0.525580i \(0.823848\pi\)
\(644\) −735.795 + 952.693i −0.0450223 + 0.0582940i
\(645\) 1738.99 + 2272.67i 0.106159 + 0.138739i
\(646\) −3909.16 −0.238087
\(647\) −1590.63 + 2755.05i −0.0966523 + 0.167407i −0.910297 0.413956i \(-0.864147\pi\)
0.813645 + 0.581362i \(0.197480\pi\)
\(648\) 14581.6 8313.42i 0.883979 0.503984i
\(649\) 1500.91 + 2599.65i 0.0907794 + 0.157234i
\(650\) 6080.82 10532.3i 0.366938 0.635554i
\(651\) −15299.7 68.8523i −0.921112 0.00414522i
\(652\) 522.163 + 904.413i 0.0313642 + 0.0543244i
\(653\) 13809.8 23919.3i 0.827595 1.43344i −0.0723246 0.997381i \(-0.523042\pi\)
0.899920 0.436056i \(-0.143625\pi\)
\(654\) −4719.77 + 11350.9i −0.282198 + 0.678679i
\(655\) 1977.54 + 3425.20i 0.117968 + 0.204326i
\(656\) −799.586 1384.92i −0.0475893 0.0824272i
\(657\) −1699.50 + 6274.41i −0.100919 + 0.372585i
\(658\) −6316.40 851.771i −0.374223 0.0504643i
\(659\) −2282.74 + 3953.82i −0.134936 + 0.233716i −0.925573 0.378569i \(-0.876416\pi\)
0.790637 + 0.612285i \(0.209750\pi\)
\(660\) −1199.85 + 156.306i −0.0707638 + 0.00921851i
\(661\) −14735.0 −0.867058 −0.433529 0.901140i \(-0.642732\pi\)
−0.433529 + 0.901140i \(0.642732\pi\)
\(662\) 2992.05 0.175664
\(663\) −31814.6 + 4144.54i −1.86362 + 0.242776i
\(664\) −11562.7 + 20027.2i −0.675784 + 1.17049i
\(665\) 751.116 + 101.289i 0.0438000 + 0.00590647i
\(666\) 5472.89 + 5502.69i 0.318424 + 0.320158i
\(667\) −823.822 1426.90i −0.0478239 0.0828334i
\(668\) 3096.75 + 5363.74i 0.179367 + 0.310672i
\(669\) −10623.6 + 25549.5i −0.613950 + 1.47653i
\(670\) 1895.48 3283.07i 0.109297 0.189308i
\(671\) −8506.96 14734.5i −0.489430 0.847718i
\(672\) 17058.0 + 76.7650i 0.979207 + 0.00440666i
\(673\) −232.966 + 403.509i −0.0133435 + 0.0231116i −0.872620 0.488400i \(-0.837581\pi\)
0.859277 + 0.511511i \(0.170914\pi\)
\(674\) 4608.00 + 7981.28i 0.263343 + 0.456124i
\(675\) −13381.2 10354.6i −0.763024 0.590442i
\(676\) 2151.42 3726.37i 0.122407 0.212015i
\(677\) 9543.85 0.541802 0.270901 0.962607i \(-0.412678\pi\)
0.270901 + 0.962607i \(0.412678\pi\)
\(678\) −5349.12 6990.74i −0.302996 0.395985i
\(679\) 9765.60 12644.3i 0.551943 0.714645i
\(680\) −2675.08 4633.38i −0.150860 0.261297i
\(681\) 9714.01 + 12695.2i 0.546611 + 0.714363i
\(682\) 3376.95 + 5849.04i 0.189604 + 0.328404i
\(683\) 3244.02 5618.81i 0.181741 0.314784i −0.760733 0.649065i \(-0.775160\pi\)
0.942473 + 0.334281i \(0.108493\pi\)
\(684\) −1755.82 1765.38i −0.0981513 0.0986858i
\(685\) 2038.07 0.113680
\(686\) −10575.4 4497.76i −0.588589 0.250328i
\(687\) −6844.16 + 16460.0i −0.380089 + 0.914103i
\(688\) −503.553 + 872.179i −0.0279037 + 0.0483307i
\(689\) 19608.9 1.08424
\(690\) −164.767 215.333i −0.00909066 0.0118805i
\(691\) 18130.4 0.998136 0.499068 0.866563i \(-0.333676\pi\)
0.499068 + 0.866563i \(0.333676\pi\)
\(692\) 18852.3 1.03563
\(693\) −7093.44 9357.34i −0.388827 0.512923i
\(694\) 16728.0 0.914965
\(695\) 601.520 0.0328302
\(696\) −5504.43 + 13238.0i −0.299777 + 0.720955i
\(697\) 46175.0 2.50933
\(698\) 3305.11 5724.62i 0.179227 0.310430i
\(699\) −21638.9 28279.8i −1.17090 1.53025i
\(700\) −4009.82 9767.26i −0.216510 0.527382i
\(701\) 6289.70 0.338886 0.169443 0.985540i \(-0.445803\pi\)
0.169443 + 0.985540i \(0.445803\pi\)
\(702\) 11189.1 + 8658.37i 0.601577 + 0.465511i
\(703\) 1549.78 2684.30i 0.0831453 0.144012i
\(704\) −4125.36 7145.33i −0.220853 0.382528i
\(705\) −796.122 + 1914.65i −0.0425301 + 0.102284i
\(706\) 6057.15 + 10491.3i 0.322895 + 0.559271i
\(707\) 8961.02 + 21827.6i 0.476682 + 1.16112i
\(708\) −3113.72 + 405.630i −0.165284 + 0.0215318i
\(709\) 3200.46 0.169529 0.0847643 0.996401i \(-0.472986\pi\)
0.0847643 + 0.996401i \(0.472986\pi\)
\(710\) 766.964 1328.42i 0.0405403 0.0702179i
\(711\) −24052.5 + 6374.90i −1.26869 + 0.336255i
\(712\) −5510.53 9544.51i −0.290050 0.502382i
\(713\) 1092.99 1893.11i 0.0574092 0.0994357i
\(714\) 9717.16 16657.0i 0.509321 0.873073i
\(715\) −1372.95 2378.01i −0.0718116 0.124381i
\(716\) −2603.37 + 4509.17i −0.135884 + 0.235357i
\(717\) 17122.3 + 22377.1i 0.891834 + 1.16553i
\(718\) −4271.74 7398.88i −0.222034 0.384573i
\(719\) 737.217 + 1276.90i 0.0382386 + 0.0662312i 0.884511 0.466519i \(-0.154492\pi\)
−0.846273 + 0.532750i \(0.821159\pi\)
\(720\) −56.8068 + 209.726i −0.00294037 + 0.0108556i
\(721\) 6782.66 8782.06i 0.350346 0.453621i
\(722\) −5860.05 + 10149.9i −0.302061 + 0.523186i
\(723\) −3432.88 4486.42i −0.176584 0.230777i
\(724\) 12221.7 0.627372
\(725\) 14451.8 0.740311
\(726\) 2813.67 6766.80i 0.143836 0.345922i
\(727\) −4395.62 + 7613.44i −0.224243 + 0.388400i −0.956092 0.293067i \(-0.905324\pi\)
0.731849 + 0.681467i \(0.238658\pi\)
\(728\) 9027.28 + 21989.0i 0.459579 + 1.11946i
\(729\) 14030.9 13804.1i 0.712844 0.701323i
\(730\) −456.852 791.292i −0.0231628 0.0401192i
\(731\) −14539.7 25183.6i −0.735666 1.27421i
\(732\) 17648.2 2299.06i 0.891116 0.116087i
\(733\) 3810.46 6599.91i 0.192009 0.332569i −0.753907 0.656981i \(-0.771833\pi\)
0.945916 + 0.324412i \(0.105166\pi\)
\(734\) −917.085 1588.44i −0.0461175 0.0798778i
\(735\) −2298.67 + 2948.75i −0.115358 + 0.147981i
\(736\) −1218.60 + 2110.67i −0.0610301 + 0.105707i
\(737\) 11728.2 + 20313.8i 0.586179 + 1.01529i
\(738\) −14358.9 14437.1i −0.716204 0.720105i
\(739\) −10731.6 + 18587.7i −0.534193 + 0.925250i 0.465009 + 0.885306i \(0.346051\pi\)
−0.999202 + 0.0399438i \(0.987282\pi\)
\(740\) 1575.63 0.0782722
\(741\) 2169.40 5217.35i 0.107551 0.258656i
\(742\) −7204.34 + 9328.04i −0.356442 + 0.461514i
\(743\) −12726.2 22042.5i −0.628371 1.08837i −0.987879 0.155228i \(-0.950389\pi\)
0.359508 0.933142i \(-0.382945\pi\)
\(744\) −18861.7 + 2457.14i −0.929438 + 0.121079i
\(745\) −2354.57 4078.23i −0.115791 0.200557i
\(746\) 4712.14 8161.67i 0.231265 0.400563i
\(747\) −7089.81 + 26175.0i −0.347259 + 1.28205i
\(748\) 12295.6 0.601031
\(749\) −6273.06 15280.1i −0.306025 0.745426i
\(750\) 4802.61 625.643i 0.233822 0.0304604i
\(751\) 394.289 682.928i 0.0191582 0.0331830i −0.856287 0.516500i \(-0.827235\pi\)
0.875446 + 0.483317i \(0.160568\pi\)
\(752\) −729.753 −0.0353874
\(753\) −8042.17 + 1047.67i −0.389207 + 0.0507026i
\(754\) −12084.4 −0.583670
\(755\) 5735.41 0.276468
\(756\) 11886.9 3093.32i 0.571853 0.148813i
\(757\) −15168.3 −0.728273 −0.364136 0.931346i \(-0.618636\pi\)
−0.364136 + 0.931346i \(0.618636\pi\)
\(758\) −11182.1 −0.535821
\(759\) 1663.60 216.720i 0.0795585 0.0103642i
\(760\) 942.250 0.0449724
\(761\) −1854.92 + 3212.81i −0.0883584 + 0.153041i −0.906817 0.421524i \(-0.861495\pi\)
0.818459 + 0.574565i \(0.194829\pi\)
\(762\) 13118.4 1708.95i 0.623660 0.0812451i
\(763\) −14804.2 + 19168.2i −0.702422 + 0.909482i
\(764\) 10918.5 0.517038
\(765\) −4424.26 4448.35i −0.209097 0.210236i
\(766\) −2197.00 + 3805.32i −0.103631 + 0.179493i
\(767\) −3562.92 6171.17i −0.167731 0.290519i
\(768\) 21776.8 2836.90i 1.02318 0.133291i
\(769\) −19688.0 34100.6i −0.923234 1.59909i −0.794378 0.607424i \(-0.792203\pi\)
−0.128856 0.991663i \(-0.541131\pi\)
\(770\) 1635.65 + 220.569i 0.0765517 + 0.0103231i
\(771\) 7034.51 16917.8i 0.328588 0.790246i
\(772\) 9758.51 0.454944
\(773\) −4083.31 + 7072.51i −0.189996 + 0.329082i