Properties

Label 63.4.h.a.25.2
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 25.2
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.2

$q$-expansion

\(f(q)\) \(=\) \(q-5.07998 q^{2} +(-4.95329 + 1.57000i) q^{3} +17.8062 q^{4} +(-9.23499 + 15.9955i) q^{5} +(25.1626 - 7.97558i) q^{6} +(-8.82618 + 16.2818i) q^{7} -49.8155 q^{8} +(22.0702 - 15.5533i) q^{9} +O(q^{10})\) \(q-5.07998 q^{2} +(-4.95329 + 1.57000i) q^{3} +17.8062 q^{4} +(-9.23499 + 15.9955i) q^{5} +(25.1626 - 7.97558i) q^{6} +(-8.82618 + 16.2818i) q^{7} -49.8155 q^{8} +(22.0702 - 15.5533i) q^{9} +(46.9136 - 81.2567i) q^{10} +(-8.59062 - 14.8794i) q^{11} +(-88.1995 + 27.9558i) q^{12} +(-27.2834 - 47.2562i) q^{13} +(44.8368 - 82.7115i) q^{14} +(20.6307 - 93.7292i) q^{15} +110.612 q^{16} +(-7.61880 + 13.1962i) q^{17} +(-112.116 + 79.0108i) q^{18} +(43.7138 + 75.7145i) q^{19} +(-164.440 + 284.819i) q^{20} +(18.1561 - 94.5059i) q^{21} +(43.6402 + 75.5870i) q^{22} +(48.3456 - 83.7371i) q^{23} +(246.751 - 78.2104i) q^{24} +(-108.070 - 187.183i) q^{25} +(138.599 + 240.061i) q^{26} +(-84.9013 + 111.691i) q^{27} +(-157.161 + 289.918i) q^{28} +(57.3750 - 99.3765i) q^{29} +(-104.804 + 476.143i) q^{30} +50.0365 q^{31} -163.383 q^{32} +(65.9125 + 60.2147i) q^{33} +(38.7034 - 67.0362i) q^{34} +(-178.926 - 291.542i) q^{35} +(392.987 - 276.947i) q^{36} +(3.58236 + 6.20483i) q^{37} +(-222.065 - 384.629i) q^{38} +(209.335 + 191.239i) q^{39} +(460.046 - 796.822i) q^{40} +(-87.4719 - 151.506i) q^{41} +(-92.2327 + 480.088i) q^{42} +(-77.4059 + 134.071i) q^{43} +(-152.967 - 264.946i) q^{44} +(44.9652 + 496.658i) q^{45} +(-245.595 + 425.383i) q^{46} -117.733 q^{47} +(-547.894 + 173.661i) q^{48} +(-187.197 - 287.413i) q^{49} +(548.994 + 950.886i) q^{50} +(17.0202 - 77.3259i) q^{51} +(-485.814 - 841.454i) q^{52} +(-1.27556 + 2.20934i) q^{53} +(431.297 - 567.386i) q^{54} +317.337 q^{55} +(439.680 - 811.088i) q^{56} +(-335.399 - 306.405i) q^{57} +(-291.464 + 504.831i) q^{58} +412.179 q^{59} +(367.355 - 1668.96i) q^{60} -711.935 q^{61} -254.184 q^{62} +(58.4418 + 496.620i) q^{63} -54.9116 q^{64} +1007.85 q^{65} +(-334.834 - 305.889i) q^{66} +37.7556 q^{67} +(-135.662 + 234.974i) q^{68} +(-108.003 + 490.677i) q^{69} +(908.942 + 1481.03i) q^{70} -290.205 q^{71} +(-1099.44 + 774.798i) q^{72} +(209.932 - 363.612i) q^{73} +(-18.1983 - 31.5204i) q^{74} +(829.180 + 757.501i) q^{75} +(778.378 + 1348.19i) q^{76} +(318.086 - 8.54301i) q^{77} +(-1063.42 - 971.489i) q^{78} -1075.34 q^{79} +(-1021.50 + 1769.29i) q^{80} +(245.187 - 686.531i) q^{81} +(444.356 + 769.647i) q^{82} +(-634.888 + 1099.66i) q^{83} +(323.292 - 1682.79i) q^{84} +(-140.719 - 243.733i) q^{85} +(393.221 - 681.079i) q^{86} +(-128.174 + 582.320i) q^{87} +(427.946 + 741.224i) q^{88} +(5.74700 + 9.95410i) q^{89} +(-228.422 - 2523.01i) q^{90} +(1010.23 - 27.1322i) q^{91} +(860.854 - 1491.04i) q^{92} +(-247.845 + 78.5573i) q^{93} +598.083 q^{94} -1614.79 q^{95} +(809.285 - 256.512i) q^{96} +(935.304 - 1619.99i) q^{97} +(950.958 + 1460.05i) q^{98} +(-421.021 - 194.778i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.07998 −1.79605 −0.898023 0.439949i \(-0.854996\pi\)
−0.898023 + 0.439949i \(0.854996\pi\)
\(3\) −4.95329 + 1.57000i −0.953261 + 0.302147i
\(4\) 17.8062 2.22578
\(5\) −9.23499 + 15.9955i −0.826003 + 1.43068i 0.0751481 + 0.997172i \(0.476057\pi\)
−0.901151 + 0.433506i \(0.857276\pi\)
\(6\) 25.1626 7.97558i 1.71210 0.542670i
\(7\) −8.82618 + 16.2818i −0.476569 + 0.879137i
\(8\) −49.8155 −2.20155
\(9\) 22.0702 15.5533i 0.817414 0.576050i
\(10\) 46.9136 81.2567i 1.48354 2.56956i
\(11\) −8.59062 14.8794i −0.235470 0.407846i 0.723939 0.689864i \(-0.242330\pi\)
−0.959409 + 0.282018i \(0.908996\pi\)
\(12\) −88.1995 + 27.9558i −2.12175 + 0.672512i
\(13\) −27.2834 47.2562i −0.582080 1.00819i −0.995233 0.0975305i \(-0.968906\pi\)
0.413152 0.910662i \(-0.364428\pi\)
\(14\) 44.8368 82.7115i 0.855939 1.57897i
\(15\) 20.6307 93.7292i 0.355121 1.61338i
\(16\) 110.612 1.72831
\(17\) −7.61880 + 13.1962i −0.108696 + 0.188267i −0.915242 0.402904i \(-0.868001\pi\)
0.806546 + 0.591171i \(0.201334\pi\)
\(18\) −112.116 + 79.0108i −1.46811 + 1.03461i
\(19\) 43.7138 + 75.7145i 0.527823 + 0.914216i 0.999474 + 0.0324308i \(0.0103249\pi\)
−0.471651 + 0.881785i \(0.656342\pi\)
\(20\) −164.440 + 284.819i −1.83850 + 3.18437i
\(21\) 18.1561 94.5059i 0.188666 0.982041i
\(22\) 43.6402 + 75.5870i 0.422915 + 0.732510i
\(23\) 48.3456 83.7371i 0.438294 0.759147i −0.559264 0.828990i \(-0.688916\pi\)
0.997558 + 0.0698421i \(0.0222496\pi\)
\(24\) 246.751 78.2104i 2.09866 0.665193i
\(25\) −108.070 187.183i −0.864561 1.49746i
\(26\) 138.599 + 240.061i 1.04544 + 1.81076i
\(27\) −84.9013 + 111.691i −0.605158 + 0.796105i
\(28\) −157.161 + 289.918i −1.06074 + 1.95676i
\(29\) 57.3750 99.3765i 0.367389 0.636336i −0.621768 0.783202i \(-0.713585\pi\)
0.989156 + 0.146866i \(0.0469185\pi\)
\(30\) −104.804 + 476.143i −0.637814 + 2.89771i
\(31\) 50.0365 0.289897 0.144949 0.989439i \(-0.453698\pi\)
0.144949 + 0.989439i \(0.453698\pi\)
\(32\) −163.383 −0.902574
\(33\) 65.9125 + 60.2147i 0.347694 + 0.317637i
\(34\) 38.7034 67.0362i 0.195223 0.338136i
\(35\) −178.926 291.542i −0.864115 1.40799i
\(36\) 392.987 276.947i 1.81938 1.28216i
\(37\) 3.58236 + 6.20483i 0.0159172 + 0.0275694i 0.873874 0.486152i \(-0.161600\pi\)
−0.857957 + 0.513721i \(0.828267\pi\)
\(38\) −222.065 384.629i −0.947994 1.64197i
\(39\) 209.335 + 191.239i 0.859497 + 0.785197i
\(40\) 460.046 796.822i 1.81849 3.14972i
\(41\) −87.4719 151.506i −0.333191 0.577103i 0.649945 0.759981i \(-0.274792\pi\)
−0.983136 + 0.182878i \(0.941459\pi\)
\(42\) −92.2327 + 480.088i −0.338853 + 1.76379i
\(43\) −77.4059 + 134.071i −0.274519 + 0.475480i −0.970014 0.243051i \(-0.921852\pi\)
0.695495 + 0.718531i \(0.255185\pi\)
\(44\) −152.967 264.946i −0.524104 0.907775i
\(45\) 44.9652 + 496.658i 0.148956 + 1.64528i
\(46\) −245.595 + 425.383i −0.787196 + 1.36346i
\(47\) −117.733 −0.365386 −0.182693 0.983170i \(-0.558481\pi\)
−0.182693 + 0.983170i \(0.558481\pi\)
\(48\) −547.894 + 173.661i −1.64753 + 0.522204i
\(49\) −187.197 287.413i −0.545764 0.837939i
\(50\) 548.994 + 950.886i 1.55279 + 2.68951i
\(51\) 17.0202 77.3259i 0.0467314 0.212310i
\(52\) −485.814 841.454i −1.29558 2.24401i
\(53\) −1.27556 + 2.20934i −0.00330588 + 0.00572596i −0.867674 0.497134i \(-0.834386\pi\)
0.864368 + 0.502860i \(0.167719\pi\)
\(54\) 431.297 567.386i 1.08689 1.42984i
\(55\) 317.337 0.777995
\(56\) 439.680 811.088i 1.04919 1.93547i
\(57\) −335.399 306.405i −0.779381 0.712007i
\(58\) −291.464 + 504.831i −0.659847 + 1.14289i
\(59\) 412.179 0.909511 0.454755 0.890616i \(-0.349727\pi\)
0.454755 + 0.890616i \(0.349727\pi\)
\(60\) 367.355 1668.96i 0.790421 3.59104i
\(61\) −711.935 −1.49433 −0.747163 0.664640i \(-0.768585\pi\)
−0.747163 + 0.664640i \(0.768585\pi\)
\(62\) −254.184 −0.520669
\(63\) 58.4418 + 496.620i 0.116873 + 0.993147i
\(64\) −54.9116 −0.107249
\(65\) 1007.85 1.92320
\(66\) −334.834 305.889i −0.624474 0.570491i
\(67\) 37.7556 0.0688444 0.0344222 0.999407i \(-0.489041\pi\)
0.0344222 + 0.999407i \(0.489041\pi\)
\(68\) −135.662 + 234.974i −0.241933 + 0.419040i
\(69\) −108.003 + 490.677i −0.188435 + 0.856095i
\(70\) 908.942 + 1481.03i 1.55199 + 2.52881i
\(71\) −290.205 −0.485084 −0.242542 0.970141i \(-0.577981\pi\)
−0.242542 + 0.970141i \(0.577981\pi\)
\(72\) −1099.44 + 774.798i −1.79958 + 1.26821i
\(73\) 209.932 363.612i 0.336584 0.582981i −0.647204 0.762317i \(-0.724062\pi\)
0.983788 + 0.179336i \(0.0573950\pi\)
\(74\) −18.1983 31.5204i −0.0285880 0.0495159i
\(75\) 829.180 + 757.501i 1.27661 + 1.16625i
\(76\) 778.378 + 1348.19i 1.17482 + 2.03484i
\(77\) 318.086 8.54301i 0.470770 0.0126437i
\(78\) −1063.42 971.489i −1.54370 1.41025i
\(79\) −1075.34 −1.53146 −0.765729 0.643163i \(-0.777622\pi\)
−0.765729 + 0.643163i \(0.777622\pi\)
\(80\) −1021.50 + 1769.29i −1.42759 + 2.47266i
\(81\) 245.187 686.531i 0.336333 0.941743i
\(82\) 444.356 + 769.647i 0.598425 + 1.03650i
\(83\) −634.888 + 1099.66i −0.839615 + 1.45426i 0.0506023 + 0.998719i \(0.483886\pi\)
−0.890217 + 0.455537i \(0.849447\pi\)
\(84\) 323.292 1682.79i 0.419929 2.18581i
\(85\) −140.719 243.733i −0.179566 0.311018i
\(86\) 393.221 681.079i 0.493048 0.853984i
\(87\) −128.174 + 582.320i −0.157951 + 0.717600i
\(88\) 427.946 + 741.224i 0.518400 + 0.897895i
\(89\) 5.74700 + 9.95410i 0.00684473 + 0.0118554i 0.869427 0.494061i \(-0.164488\pi\)
−0.862583 + 0.505916i \(0.831155\pi\)
\(90\) −228.422 2523.01i −0.267531 2.95499i
\(91\) 1010.23 27.1322i 1.16374 0.0312552i
\(92\) 860.854 1491.04i 0.975545 1.68969i
\(93\) −247.845 + 78.5573i −0.276348 + 0.0875916i
\(94\) 598.083 0.656250
\(95\) −1614.79 −1.74393
\(96\) 809.285 256.512i 0.860389 0.272710i
\(97\) 935.304 1619.99i 0.979029 1.69573i 0.313085 0.949725i \(-0.398637\pi\)
0.665943 0.746002i \(-0.268029\pi\)
\(98\) 950.958 + 1460.05i 0.980217 + 1.50498i
\(99\) −421.021 194.778i −0.427416 0.197737i
\(100\) −1924.32 3333.02i −1.92432 3.33302i
\(101\) −250.440 433.774i −0.246729 0.427348i 0.715887 0.698216i \(-0.246023\pi\)
−0.962616 + 0.270868i \(0.912689\pi\)
\(102\) −86.4622 + 392.814i −0.0839317 + 0.381318i
\(103\) −337.530 + 584.620i −0.322892 + 0.559265i −0.981083 0.193585i \(-0.937988\pi\)
0.658192 + 0.752850i \(0.271322\pi\)
\(104\) 1359.13 + 2354.09i 1.28148 + 2.21959i
\(105\) 1343.99 + 1163.18i 1.24915 + 1.08109i
\(106\) 6.47983 11.2234i 0.00593751 0.0102841i
\(107\) −327.267 566.844i −0.295683 0.512139i 0.679460 0.733712i \(-0.262214\pi\)
−0.975144 + 0.221574i \(0.928881\pi\)
\(108\) −1511.77 + 1988.79i −1.34695 + 1.77195i
\(109\) −216.870 + 375.630i −0.190573 + 0.330081i −0.945440 0.325796i \(-0.894368\pi\)
0.754868 + 0.655877i \(0.227701\pi\)
\(110\) −1612.07 −1.39731
\(111\) −27.4860 25.1100i −0.0235032 0.0214715i
\(112\) −976.282 + 1800.97i −0.823660 + 1.51942i
\(113\) −929.178 1609.38i −0.773537 1.33981i −0.935613 0.353028i \(-0.885152\pi\)
0.162076 0.986778i \(-0.448181\pi\)
\(114\) 1703.82 + 1556.53i 1.39980 + 1.27880i
\(115\) 892.943 + 1546.62i 0.724064 + 1.25412i
\(116\) 1021.63 1769.52i 0.817726 1.41634i
\(117\) −1337.14 618.605i −1.05657 0.488804i
\(118\) −2093.86 −1.63352
\(119\) −147.613 240.520i −0.113711 0.185281i
\(120\) −1027.73 + 4669.17i −0.781819 + 3.55195i
\(121\) 517.903 897.033i 0.389108 0.673955i
\(122\) 3616.62 2.68388
\(123\) 671.138 + 613.121i 0.491988 + 0.449457i
\(124\) 890.961 0.645247
\(125\) 1683.36 1.20451
\(126\) −296.884 2522.82i −0.209909 1.78374i
\(127\) 2418.53 1.68984 0.844919 0.534894i \(-0.179648\pi\)
0.844919 + 0.534894i \(0.179648\pi\)
\(128\) 1586.02 1.09520
\(129\) 172.922 785.620i 0.118023 0.536202i
\(130\) −5119.84 −3.45415
\(131\) −366.557 + 634.895i −0.244475 + 0.423443i −0.961984 0.273106i \(-0.911949\pi\)
0.717509 + 0.696549i \(0.245282\pi\)
\(132\) 1173.65 + 1072.20i 0.773889 + 0.706990i
\(133\) −1618.60 + 43.4715i −1.05527 + 0.0283418i
\(134\) −191.798 −0.123648
\(135\) −1002.48 2389.50i −0.639109 1.52337i
\(136\) 379.534 657.373i 0.239300 0.414480i
\(137\) −383.904 664.940i −0.239409 0.414669i 0.721136 0.692794i \(-0.243620\pi\)
−0.960545 + 0.278125i \(0.910287\pi\)
\(138\) 548.652 2492.63i 0.338437 1.53759i
\(139\) −839.190 1453.52i −0.512080 0.886949i −0.999902 0.0140058i \(-0.995542\pi\)
0.487822 0.872943i \(-0.337792\pi\)
\(140\) −3186.00 5191.26i −1.92333 3.13387i
\(141\) 583.167 184.841i 0.348309 0.110400i
\(142\) 1474.24 0.871233
\(143\) −468.762 + 811.919i −0.274125 + 0.474798i
\(144\) 2441.23 1720.39i 1.41275 0.995595i
\(145\) 1059.72 + 1835.48i 0.606928 + 1.05123i
\(146\) −1066.45 + 1847.14i −0.604521 + 1.04706i
\(147\) 1378.48 + 1129.74i 0.773437 + 0.633874i
\(148\) 63.7883 + 110.485i 0.0354281 + 0.0613633i
\(149\) −1647.86 + 2854.18i −0.906029 + 1.56929i −0.0864987 + 0.996252i \(0.527568\pi\)
−0.819530 + 0.573036i \(0.805766\pi\)
\(150\) −4212.22 3848.09i −2.29284 2.09464i
\(151\) 750.361 + 1299.66i 0.404394 + 0.700431i 0.994251 0.107077i \(-0.0341491\pi\)
−0.589857 + 0.807508i \(0.700816\pi\)
\(152\) −2177.62 3771.76i −1.16203 2.01270i
\(153\) 37.0960 + 409.740i 0.0196015 + 0.216506i
\(154\) −1615.87 + 43.3984i −0.845524 + 0.0227087i
\(155\) −462.086 + 800.357i −0.239456 + 0.414750i
\(156\) 3727.46 + 3405.24i 1.91305 + 1.74768i
\(157\) −418.873 −0.212928 −0.106464 0.994317i \(-0.533953\pi\)
−0.106464 + 0.994317i \(0.533953\pi\)
\(158\) 5462.71 2.75057
\(159\) 2.84956 12.9461i 0.00142129 0.00645720i
\(160\) 1508.84 2613.39i 0.745528 1.29129i
\(161\) 936.687 + 1526.23i 0.458517 + 0.747107i
\(162\) −1245.54 + 3487.56i −0.604069 + 1.69141i
\(163\) −1643.60 2846.80i −0.789796 1.36797i −0.926091 0.377299i \(-0.876853\pi\)
0.136295 0.990668i \(-0.456481\pi\)
\(164\) −1557.54 2697.75i −0.741608 1.28450i
\(165\) −1571.86 + 498.220i −0.741633 + 0.235069i
\(166\) 3225.22 5586.25i 1.50799 2.61191i
\(167\) −452.893 784.434i −0.209856 0.363481i 0.741813 0.670607i \(-0.233966\pi\)
−0.951669 + 0.307126i \(0.900633\pi\)
\(168\) −904.456 + 4707.86i −0.415359 + 2.16202i
\(169\) −390.263 + 675.956i −0.177635 + 0.307672i
\(170\) 714.851 + 1238.16i 0.322509 + 0.558602i
\(171\) 2142.39 + 991.138i 0.958084 + 0.443241i
\(172\) −1378.31 + 2387.30i −0.611018 + 1.05831i
\(173\) −285.213 −0.125343 −0.0626715 0.998034i \(-0.519962\pi\)
−0.0626715 + 0.998034i \(0.519962\pi\)
\(174\) 651.122 2958.17i 0.283686 1.28884i
\(175\) 4001.53 107.471i 1.72850 0.0464232i
\(176\) −950.226 1645.84i −0.406966 0.704885i
\(177\) −2041.64 + 647.122i −0.867001 + 0.274806i
\(178\) −29.1947 50.5667i −0.0122934 0.0212929i
\(179\) −1438.75 + 2492.00i −0.600768 + 1.04056i 0.391937 + 0.919992i \(0.371805\pi\)
−0.992705 + 0.120569i \(0.961528\pi\)
\(180\) 800.660 + 8843.61i 0.331543 + 3.66202i
\(181\) 918.462 0.377175 0.188588 0.982056i \(-0.439609\pi\)
0.188588 + 0.982056i \(0.439609\pi\)
\(182\) −5131.93 + 137.831i −2.09013 + 0.0561358i
\(183\) 3526.42 1117.74i 1.42448 0.451506i
\(184\) −2408.36 + 4171.40i −0.964928 + 1.67130i
\(185\) −132.332 −0.0525906
\(186\) 1259.05 399.070i 0.496333 0.157318i
\(187\) 261.801 0.102379
\(188\) −2096.39 −0.813269
\(189\) −1069.17 2368.15i −0.411486 0.911416i
\(190\) 8203.09 3.13218
\(191\) 3162.46 1.19805 0.599024 0.800731i \(-0.295555\pi\)
0.599024 + 0.800731i \(0.295555\pi\)
\(192\) 271.993 86.2114i 0.102237 0.0324050i
\(193\) 1788.05 0.666873 0.333437 0.942773i \(-0.391792\pi\)
0.333437 + 0.942773i \(0.391792\pi\)
\(194\) −4751.33 + 8229.55i −1.75838 + 3.04560i
\(195\) −4992.16 + 1582.32i −1.83331 + 0.581089i
\(196\) −3333.28 5117.74i −1.21475 1.86507i
\(197\) −5091.77 −1.84149 −0.920746 0.390163i \(-0.872419\pi\)
−0.920746 + 0.390163i \(0.872419\pi\)
\(198\) 2138.78 + 989.469i 0.767659 + 0.355144i
\(199\) −1275.06 + 2208.47i −0.454205 + 0.786706i −0.998642 0.0520957i \(-0.983410\pi\)
0.544437 + 0.838802i \(0.316743\pi\)
\(200\) 5383.56 + 9324.61i 1.90338 + 3.29675i
\(201\) −187.014 + 59.2763i −0.0656267 + 0.0208011i
\(202\) 1272.23 + 2203.57i 0.443137 + 0.767536i
\(203\) 1111.63 + 1811.29i 0.384341 + 0.626243i
\(204\) 303.065 1376.88i 0.104014 0.472554i
\(205\) 3231.21 1.10086
\(206\) 1714.65 2969.86i 0.579928 1.00447i
\(207\) −235.395 2600.03i −0.0790390 0.873017i
\(208\) −3017.87 5227.10i −1.00602 1.74247i
\(209\) 751.057 1300.87i 0.248573 0.430541i
\(210\) −6827.47 5908.92i −2.24352 1.94169i
\(211\) −1457.71 2524.82i −0.475605 0.823771i 0.524005 0.851715i \(-0.324437\pi\)
−0.999609 + 0.0279438i \(0.991104\pi\)
\(212\) −22.7129 + 39.3400i −0.00735816 + 0.0127447i
\(213\) 1437.47 455.622i 0.462412 0.146567i
\(214\) 1662.51 + 2879.56i 0.531061 + 0.919825i
\(215\) −1429.69 2476.29i −0.453506 0.785495i
\(216\) 4229.40 5563.92i 1.33229 1.75267i
\(217\) −441.631 + 814.686i −0.138156 + 0.254859i
\(218\) 1101.70 1908.20i 0.342277 0.592841i
\(219\) −468.981 + 2130.67i −0.144707 + 0.657431i
\(220\) 5650.58 1.73164
\(221\) 831.466 0.253079
\(222\) 139.629 + 127.558i 0.0422129 + 0.0385638i
\(223\) −337.754 + 585.007i −0.101425 + 0.175673i −0.912272 0.409585i \(-0.865673\pi\)
0.810847 + 0.585258i \(0.199007\pi\)
\(224\) 1442.05 2660.18i 0.430139 0.793486i
\(225\) −5296.45 2450.31i −1.56932 0.726018i
\(226\) 4720.21 + 8175.64i 1.38931 + 2.40635i
\(227\) 321.655 + 557.122i 0.0940483 + 0.162897i 0.909211 0.416336i \(-0.136686\pi\)
−0.815163 + 0.579232i \(0.803353\pi\)
\(228\) −5972.19 5455.93i −1.73473 1.58477i
\(229\) −1831.99 + 3173.09i −0.528651 + 0.915650i 0.470791 + 0.882245i \(0.343969\pi\)
−0.999442 + 0.0334054i \(0.989365\pi\)
\(230\) −4536.13 7856.82i −1.30045 2.25245i
\(231\) −1562.16 + 541.712i −0.444947 + 0.154295i
\(232\) −2858.17 + 4950.49i −0.808827 + 1.40093i
\(233\) −2093.55 3626.13i −0.588639 1.01955i −0.994411 0.105578i \(-0.966331\pi\)
0.405772 0.913974i \(-0.367003\pi\)
\(234\) 6792.65 + 3142.50i 1.89765 + 0.877914i
\(235\) 1087.27 1883.20i 0.301810 0.522750i
\(236\) 7339.35 2.02437
\(237\) 5326.47 1688.29i 1.45988 0.462726i
\(238\) 749.871 + 1221.84i 0.204231 + 0.332773i
\(239\) −62.9867 109.096i −0.0170472 0.0295266i 0.857376 0.514691i \(-0.172093\pi\)
−0.874423 + 0.485164i \(0.838760\pi\)
\(240\) 2282.00 10367.6i 0.613761 2.78843i
\(241\) −3303.25 5721.40i −0.882909 1.52924i −0.848092 0.529849i \(-0.822249\pi\)
−0.0348166 0.999394i \(-0.511085\pi\)
\(242\) −2630.94 + 4556.92i −0.698855 + 1.21045i
\(243\) −136.626 + 3785.53i −0.0360683 + 0.999349i
\(244\) −12676.9 −3.32604
\(245\) 6326.07 340.050i 1.64962 0.0886736i
\(246\) −3409.37 3114.64i −0.883632 0.807246i
\(247\) 2385.32 4131.49i 0.614470 1.06429i
\(248\) −2492.59 −0.638225
\(249\) 1418.32 6443.70i 0.360974 1.63997i
\(250\) −8551.42 −2.16336
\(251\) 7221.02 1.81588 0.907942 0.419095i \(-0.137653\pi\)
0.907942 + 0.419095i \(0.137653\pi\)
\(252\) 1040.63 + 8842.93i 0.260133 + 2.21053i
\(253\) −1661.28 −0.412820
\(254\) −12286.1 −3.03503
\(255\) 1079.68 + 986.350i 0.265147 + 0.242226i
\(256\) −7617.65 −1.85978
\(257\) 2156.42 3735.04i 0.523401 0.906557i −0.476228 0.879322i \(-0.657996\pi\)
0.999629 0.0272353i \(-0.00867033\pi\)
\(258\) −878.443 + 3990.94i −0.211975 + 0.963042i
\(259\) −132.645 + 3.56250i −0.0318229 + 0.000854685i
\(260\) 17945.9 4.28062
\(261\) −279.359 3085.63i −0.0662525 0.731785i
\(262\) 1862.10 3225.26i 0.439088 0.760523i
\(263\) −2132.27 3693.20i −0.499930 0.865904i 0.500070 0.865985i \(-0.333308\pi\)
−1.00000 8.10967e-5i \(0.999974\pi\)
\(264\) −3283.46 2999.62i −0.765467 0.699296i
\(265\) −23.5596 40.8064i −0.00546133 0.00945931i
\(266\) 8222.45 220.835i 1.89530 0.0509032i
\(267\) −44.0945 40.2828i −0.0101069 0.00923320i
\(268\) 672.284 0.153232
\(269\) 329.686 571.032i 0.0747260 0.129429i −0.826241 0.563317i \(-0.809525\pi\)
0.900967 + 0.433887i \(0.142858\pi\)
\(270\) 5092.58 + 12138.6i 1.14787 + 2.73604i
\(271\) −1808.63 3132.63i −0.405410 0.702191i 0.588959 0.808163i \(-0.299538\pi\)
−0.994369 + 0.105972i \(0.966205\pi\)
\(272\) −842.731 + 1459.65i −0.187861 + 0.325384i
\(273\) −4961.34 + 1720.45i −1.09991 + 0.381415i
\(274\) 1950.22 + 3377.89i 0.429990 + 0.744765i
\(275\) −1856.78 + 3216.03i −0.407156 + 0.705215i
\(276\) −1923.12 + 8737.11i −0.419414 + 1.90548i
\(277\) 337.358 + 584.322i 0.0731765 + 0.126745i 0.900292 0.435287i \(-0.143353\pi\)
−0.827115 + 0.562032i \(0.810020\pi\)
\(278\) 4263.07 + 7383.86i 0.919719 + 1.59300i
\(279\) 1104.31 778.235i 0.236966 0.166995i
\(280\) 8913.30 + 14523.3i 1.90240 + 3.09976i
\(281\) −4209.37 + 7290.84i −0.893630 + 1.54781i −0.0581382 + 0.998309i \(0.518516\pi\)
−0.835491 + 0.549503i \(0.814817\pi\)
\(282\) −2962.48 + 938.991i −0.625578 + 0.198284i
\(283\) −6478.24 −1.36075 −0.680373 0.732866i \(-0.738182\pi\)
−0.680373 + 0.732866i \(0.738182\pi\)
\(284\) −5167.45 −1.07969
\(285\) 7998.51 2535.22i 1.66242 0.526924i
\(286\) 2381.30 4124.54i 0.492340 0.852759i
\(287\) 3238.84 86.9871i 0.666141 0.0178909i
\(288\) −3605.90 + 2541.16i −0.737777 + 0.519928i
\(289\) 2340.41 + 4053.71i 0.476370 + 0.825098i
\(290\) −5383.34 9324.22i −1.09007 1.88806i
\(291\) −2089.44 + 9492.74i −0.420911 + 1.91228i
\(292\) 3738.09 6474.57i 0.749162 1.29759i
\(293\) 565.462 + 979.409i 0.112746 + 0.195282i 0.916877 0.399171i \(-0.130702\pi\)
−0.804130 + 0.594453i \(0.797369\pi\)
\(294\) −7002.66 5739.06i −1.38913 1.13847i
\(295\) −3806.47 + 6593.00i −0.751258 + 1.30122i
\(296\) −178.457 309.096i −0.0350426 0.0606955i
\(297\) 2391.24 + 303.789i 0.467185 + 0.0593523i
\(298\) 8371.12 14499.2i 1.62727 2.81851i
\(299\) −5276.12 −1.02049
\(300\) 14764.6 + 13488.2i 2.84144 + 2.59581i
\(301\) −1499.73 2443.65i −0.287185 0.467938i
\(302\) −3811.82 6602.27i −0.726310 1.25801i
\(303\) 1921.53 + 1755.42i 0.364319 + 0.332826i
\(304\) 4835.27 + 8374.94i 0.912243 + 1.58005i
\(305\) 6574.71 11387.7i 1.23432 2.13790i
\(306\) −188.447 2081.47i −0.0352052 0.388855i
\(307\) −1352.97 −0.251525 −0.125763 0.992060i \(-0.540138\pi\)
−0.125763 + 0.992060i \(0.540138\pi\)
\(308\) 5663.92 152.119i 1.04783 0.0281421i
\(309\) 754.033 3425.72i 0.138820 0.630687i
\(310\) 2347.39 4065.80i 0.430074 0.744909i
\(311\) −9595.43 −1.74954 −0.874770 0.484538i \(-0.838988\pi\)
−0.874770 + 0.484538i \(0.838988\pi\)
\(312\) −10428.1 9526.65i −1.89223 1.72865i
\(313\) −1310.27 −0.236616 −0.118308 0.992977i \(-0.537747\pi\)
−0.118308 + 0.992977i \(0.537747\pi\)
\(314\) 2127.87 0.382428
\(315\) −8483.38 3651.48i −1.51741 0.653135i
\(316\) −19147.8 −3.40869
\(317\) 6645.44 1.17743 0.588714 0.808341i \(-0.299634\pi\)
0.588714 + 0.808341i \(0.299634\pi\)
\(318\) −14.4757 + 65.7661i −0.00255270 + 0.0115974i
\(319\) −1971.55 −0.346036
\(320\) 507.108 878.338i 0.0885882 0.153439i
\(321\) 2511.00 + 2293.93i 0.436605 + 0.398862i
\(322\) −4758.36 7753.25i −0.823518 1.34184i
\(323\) −1332.19 −0.229489
\(324\) 4365.85 12224.5i 0.748603 2.09611i
\(325\) −5897.03 + 10214.0i −1.00649 + 1.74329i
\(326\) 8349.47 + 14461.7i 1.41851 + 2.45693i
\(327\) 484.482 2201.09i 0.0819324 0.372235i
\(328\) 4357.45 + 7547.33i 0.733537 + 1.27052i
\(329\) 1039.13 1916.91i 0.174132 0.321225i
\(330\) 7985.04 2530.95i 1.33201 0.422194i
\(331\) −2622.33 −0.435457 −0.217728 0.976009i \(-0.569865\pi\)
−0.217728 + 0.976009i \(0.569865\pi\)
\(332\) −11305.0 + 19580.8i −1.86880 + 3.23685i
\(333\) 175.569 + 81.2240i 0.0288923 + 0.0133665i
\(334\) 2300.69 + 3984.91i 0.376910 + 0.652828i
\(335\) −348.672 + 603.918i −0.0568657 + 0.0984942i
\(336\) 2008.28 10453.5i 0.326074 1.69727i
\(337\) 5564.34 + 9637.71i 0.899432 + 1.55786i 0.828221 + 0.560401i \(0.189353\pi\)
0.0712112 + 0.997461i \(0.477314\pi\)
\(338\) 1982.53 3433.85i 0.319040 0.552593i
\(339\) 7129.22 + 6512.93i 1.14220 + 1.04346i
\(340\) −2505.68 4339.96i −0.399675 0.692257i
\(341\) −429.844 744.512i −0.0682621 0.118233i
\(342\) −10883.3 5034.96i −1.72076 0.796081i
\(343\) 6331.85 511.157i 0.996757 0.0804661i
\(344\) 3856.02 6678.81i 0.604367 1.04680i
\(345\) −6851.21 6258.95i −1.06915 0.976726i
\(346\) 1448.88 0.225122
\(347\) 8577.04 1.32692 0.663458 0.748214i \(-0.269088\pi\)
0.663458 + 0.748214i \(0.269088\pi\)
\(348\) −2282.30 + 10368.9i −0.351563 + 1.59722i
\(349\) −368.128 + 637.616i −0.0564626 + 0.0977960i −0.892875 0.450304i \(-0.851315\pi\)
0.836413 + 0.548100i \(0.184649\pi\)
\(350\) −20327.7 + 545.952i −3.10446 + 0.0833781i
\(351\) 7594.46 + 964.818i 1.15488 + 0.146718i
\(352\) 1403.56 + 2431.04i 0.212529 + 0.368111i
\(353\) 4599.09 + 7965.85i 0.693441 + 1.20107i 0.970703 + 0.240281i \(0.0772395\pi\)
−0.277263 + 0.960794i \(0.589427\pi\)
\(354\) 10371.5 3287.37i 1.55717 0.493564i
\(355\) 2680.04 4641.96i 0.400681 0.693999i
\(356\) 102.332 + 177.245i 0.0152349 + 0.0263876i
\(357\) 1108.79 + 959.612i 0.164379 + 0.142263i
\(358\) 7308.85 12659.3i 1.07901 1.86890i
\(359\) −731.205 1266.48i −0.107497 0.186191i 0.807258 0.590198i \(-0.200950\pi\)
−0.914756 + 0.404007i \(0.867617\pi\)
\(360\) −2239.96 24741.3i −0.327934 3.62216i
\(361\) −392.294 + 679.472i −0.0571940 + 0.0990629i
\(362\) −4665.77 −0.677424
\(363\) −1156.98 + 5256.38i −0.167288 + 0.760023i
\(364\) 17988.3 483.121i 2.59023 0.0695672i
\(365\) 3877.43 + 6715.91i 0.556039 + 0.963088i
\(366\) −17914.2 + 5678.10i −2.55844 + 0.810926i
\(367\) 2555.69 + 4426.58i 0.363503 + 0.629606i 0.988535 0.150993i \(-0.0482472\pi\)
−0.625031 + 0.780600i \(0.714914\pi\)
\(368\) 5347.61 9262.33i 0.757509 1.31204i
\(369\) −4286.94 1983.28i −0.604795 0.279798i
\(370\) 672.245 0.0944550
\(371\) −24.7138 40.2685i −0.00345842 0.00563514i
\(372\) −4413.19 + 1398.81i −0.615089 + 0.194959i
\(373\) −6215.48 + 10765.5i −0.862802 + 1.49442i 0.00641036 + 0.999979i \(0.497960\pi\)
−0.869213 + 0.494438i \(0.835374\pi\)
\(374\) −1329.94 −0.183876
\(375\) −8338.15 + 2642.87i −1.14821 + 0.363939i
\(376\) 5864.94 0.804418
\(377\) −6261.54 −0.855399
\(378\) 5431.38 + 12030.2i 0.739048 + 1.63694i
\(379\) 10316.4 1.39820 0.699102 0.715022i \(-0.253583\pi\)
0.699102 + 0.715022i \(0.253583\pi\)
\(380\) −28753.3 −3.88161
\(381\) −11979.7 + 3797.09i −1.61086 + 0.510580i
\(382\) −16065.2 −2.15175
\(383\) −1009.97 + 1749.32i −0.134745 + 0.233385i −0.925500 0.378748i \(-0.876355\pi\)
0.790755 + 0.612132i \(0.209688\pi\)
\(384\) −7856.00 + 2490.05i −1.04401 + 0.330911i
\(385\) −2800.87 + 5166.83i −0.370768 + 0.683964i
\(386\) −9083.26 −1.19773
\(387\) 376.890 + 4162.89i 0.0495048 + 0.546801i
\(388\) 16654.2 28846.0i 2.17910 3.77431i
\(389\) 2249.02 + 3895.42i 0.293136 + 0.507726i 0.974550 0.224172i \(-0.0719679\pi\)
−0.681414 + 0.731898i \(0.738635\pi\)
\(390\) 25360.1 8038.16i 3.29271 1.04366i
\(391\) 736.672 + 1275.95i 0.0952816 + 0.165032i
\(392\) 9325.32 + 14317.6i 1.20153 + 1.84477i
\(393\) 818.876 3720.31i 0.105106 0.477519i
\(394\) 25866.1 3.30740
\(395\) 9930.76 17200.6i 1.26499 2.19103i
\(396\) −7496.80 3468.26i −0.951334 0.440118i
\(397\) 331.900 + 574.868i 0.0419587 + 0.0726746i 0.886242 0.463222i \(-0.153307\pi\)
−0.844283 + 0.535897i \(0.819974\pi\)
\(398\) 6477.30 11219.0i 0.815773 1.41296i
\(399\) 7949.14 2756.53i 0.997380 0.345862i
\(400\) −11953.8 20704.7i −1.49423 2.58808i
\(401\) 873.433 1512.83i 0.108771 0.188397i −0.806502 0.591232i \(-0.798642\pi\)
0.915273 + 0.402835i \(0.131975\pi\)
\(402\) 950.030 301.123i 0.117869 0.0373598i
\(403\) −1365.16 2364.53i −0.168743 0.292272i
\(404\) −4459.39 7723.88i −0.549165 0.951182i
\(405\) 8717.09 + 10262.0i 1.06952 + 1.25907i
\(406\) −5647.06 9201.30i −0.690293 1.12476i
\(407\) 61.5493 106.607i 0.00749604 0.0129835i
\(408\) −847.868 + 3852.03i −0.102882 + 0.467411i
\(409\) −10319.3 −1.24757 −0.623785 0.781596i \(-0.714406\pi\)
−0.623785 + 0.781596i \(0.714406\pi\)
\(410\) −16414.5 −1.97720
\(411\) 2945.54 + 2690.91i 0.353511 + 0.322951i
\(412\) −6010.14 + 10409.9i −0.718686 + 1.24480i
\(413\) −3637.96 + 6711.03i −0.433444 + 0.799585i
\(414\) 1195.80 + 13208.1i 0.141958 + 1.56798i
\(415\) −11726.4 20310.7i −1.38705 2.40244i
\(416\) 4457.65 + 7720.87i 0.525370 + 0.909968i
\(417\) 6438.78 + 5882.18i 0.756135 + 0.690771i
\(418\) −3815.36 + 6608.40i −0.446448 + 0.773271i
\(419\) −205.621 356.146i −0.0239743 0.0415248i 0.853789 0.520619i \(-0.174299\pi\)
−0.877764 + 0.479094i \(0.840965\pi\)
\(420\) 23931.5 + 20711.8i 2.78032 + 2.40627i
\(421\) 1545.97 2677.70i 0.178969 0.309983i −0.762559 0.646919i \(-0.776057\pi\)
0.941528 + 0.336936i \(0.109390\pi\)
\(422\) 7405.12 + 12826.0i 0.854208 + 1.47953i
\(423\) −2598.40 + 1831.15i −0.298672 + 0.210481i
\(424\) 63.5427 110.059i 0.00727808 0.0126060i
\(425\) 3293.46 0.375897
\(426\) −7302.32 + 2314.55i −0.830513 + 0.263240i
\(427\) 6283.67 11591.6i 0.712150 1.31372i
\(428\) −5827.40 10093.4i −0.658126 1.13991i
\(429\) 1047.20 4757.63i 0.117854 0.535433i
\(430\) 7262.78 + 12579.5i 0.814517 + 1.41079i
\(431\) −3186.48 + 5519.14i −0.356119 + 0.616816i −0.987309 0.158812i \(-0.949233\pi\)
0.631190 + 0.775628i \(0.282567\pi\)
\(432\) −9391.11 + 12354.3i −1.04590 + 1.37592i
\(433\) −15703.9 −1.74292 −0.871458 0.490471i \(-0.836825\pi\)
−0.871458 + 0.490471i \(0.836825\pi\)
\(434\) 2243.48 4138.59i 0.248134 0.457739i
\(435\) −8130.79 7427.92i −0.896187 0.818716i
\(436\) −3861.64 + 6688.56i −0.424172 + 0.734688i
\(437\) 8453.49 0.925366
\(438\) 2382.42 10823.8i 0.259900 1.18078i
\(439\) 6344.64 0.689779 0.344890 0.938643i \(-0.387916\pi\)
0.344890 + 0.938643i \(0.387916\pi\)
\(440\) −15808.3 −1.71280
\(441\) −8601.71 3431.72i −0.928810 0.370556i
\(442\) −4223.83 −0.454541
\(443\) 8017.09 0.859828 0.429914 0.902870i \(-0.358544\pi\)
0.429914 + 0.902870i \(0.358544\pi\)
\(444\) −489.423 447.115i −0.0523130 0.0477908i
\(445\) −212.294 −0.0226151
\(446\) 1715.79 2971.83i 0.182163 0.315516i
\(447\) 3681.28 16724.8i 0.389527 1.76970i
\(448\) 484.660 894.063i 0.0511117 0.0942868i
\(449\) 3077.02 0.323416 0.161708 0.986839i \(-0.448300\pi\)
0.161708 + 0.986839i \(0.448300\pi\)
\(450\) 26905.9 + 12447.5i 2.81857 + 1.30396i
\(451\) −1502.88 + 2603.06i −0.156913 + 0.271781i
\(452\) −16545.2 28657.1i −1.72172 2.98211i
\(453\) −5757.23 5259.54i −0.597126 0.545508i
\(454\) −1634.00 2830.17i −0.168915 0.292570i
\(455\) −8895.43 + 16409.6i −0.916537 + 1.69076i
\(456\) 16708.1 + 15263.7i 1.71585 + 1.56752i
\(457\) −4414.66 −0.451879 −0.225940 0.974141i \(-0.572545\pi\)
−0.225940 + 0.974141i \(0.572545\pi\)
\(458\) 9306.46 16119.3i 0.949481 1.64455i
\(459\) −827.039 1971.32i −0.0841021 0.200465i
\(460\) 15899.9 + 27539.5i 1.61161 + 2.79138i
\(461\) 1139.72 1974.05i 0.115146 0.199438i −0.802692 0.596393i \(-0.796600\pi\)
0.917838 + 0.396955i \(0.129933\pi\)
\(462\) 7935.75 2751.89i 0.799144 0.277120i
\(463\) 3230.05 + 5594.62i 0.324219 + 0.561563i 0.981354 0.192209i \(-0.0615653\pi\)
−0.657135 + 0.753773i \(0.728232\pi\)
\(464\) 6346.37 10992.2i 0.634963 1.09979i
\(465\) 1032.29 4689.88i 0.102949 0.467716i
\(466\) 10635.2 + 18420.7i 1.05722 + 1.83116i
\(467\) −7609.58 13180.2i −0.754024 1.30601i −0.945858 0.324581i \(-0.894777\pi\)
0.191834 0.981427i \(-0.438557\pi\)
\(468\) −23809.4 11015.0i −2.35169 1.08797i
\(469\) −333.237 + 614.730i −0.0328091 + 0.0605237i
\(470\) −5523.29 + 9566.62i −0.542065 + 0.938883i
\(471\) 2074.80 657.631i 0.202976 0.0643355i
\(472\) −20532.9 −2.00234
\(473\) 2659.86 0.258563
\(474\) −27058.4 + 8576.47i −2.62201 + 0.831076i
\(475\) 9448.31 16364.9i 0.912670 1.58079i
\(476\) −2628.43 4282.75i −0.253096 0.412394i
\(477\) 6.21071 + 68.5997i 0.000596161 + 0.00658483i
\(478\) 319.972 + 554.207i 0.0306175 + 0.0530311i
\(479\) −9610.99 16646.7i −0.916779 1.58791i −0.804275 0.594257i \(-0.797446\pi\)
−0.112504 0.993651i \(-0.535887\pi\)
\(480\) −3370.71 + 15313.8i −0.320523 + 1.45620i
\(481\) 195.478 338.577i 0.0185302 0.0320952i
\(482\) 16780.5 + 29064.6i 1.58574 + 2.74659i
\(483\) −7035.88 6089.28i −0.662823 0.573648i
\(484\) 9221.89 15972.8i 0.866068 1.50007i
\(485\) 17275.1 + 29921.3i 1.61736 + 2.80135i
\(486\) 694.060 19230.4i 0.0647803 1.79488i
\(487\) −4166.80 + 7217.11i −0.387712 + 0.671537i −0.992141 0.125122i \(-0.960068\pi\)
0.604430 + 0.796659i \(0.293401\pi\)
\(488\) 35465.4 3.28984
\(489\) 12610.7 + 11520.6i 1.16621 + 1.06540i
\(490\) −32136.3 + 1727.45i −2.96280 + 0.159262i
\(491\) −5352.23 9270.34i −0.491941 0.852066i 0.508016 0.861347i \(-0.330379\pi\)
−0.999957 + 0.00928128i \(0.997046\pi\)
\(492\) 11950.4 + 10917.4i 1.09506 + 1.00039i
\(493\) 874.258 + 1514.26i 0.0798674 + 0.138334i
\(494\) −12117.4 + 20987.9i −1.10362 + 1.91152i
\(495\) 7003.69 4935.66i 0.635944 0.448164i
\(496\) 5534.64 0.501033
\(497\) 2561.40 4725.07i 0.231176 0.426455i
\(498\) −7205.04 + 32733.9i −0.648325 + 2.94547i
\(499\) −5446.06 + 9432.85i −0.488575 + 0.846237i −0.999914 0.0131421i \(-0.995817\pi\)
0.511338 + 0.859380i \(0.329150\pi\)
\(500\) 29974.2 2.68098
\(501\) 3474.87 + 3174.49i 0.309872 + 0.283085i
\(502\) −36682.7 −3.26141
\(503\) −13166.9 −1.16716 −0.583581 0.812055i \(-0.698349\pi\)
−0.583581 + 0.812055i \(0.698349\pi\)
\(504\) −2911.31 24739.4i −0.257302 2.18647i
\(505\) 9251.23 0.815197
\(506\) 8439.25 0.741444
\(507\) 871.836 3960.92i 0.0763700 0.346964i
\(508\) 43064.8 3.76121
\(509\) 2074.54 3593.20i 0.180653 0.312900i −0.761450 0.648223i \(-0.775512\pi\)
0.942103 + 0.335324i \(0.108846\pi\)
\(510\) −5484.77 5010.64i −0.476215 0.435049i
\(511\) 4067.39 + 6627.38i 0.352115 + 0.573734i
\(512\) 26009.4 2.24505
\(513\) −12168.0 1545.85i −1.04723 0.133042i
\(514\) −10954.6 + 18973.9i −0.940052 + 1.62822i
\(515\) −6234.18 10797.9i −0.533419 0.923909i
\(516\) 3079.10 13988.9i 0.262693 1.19347i
\(517\) 1011.40 + 1751.80i 0.0860375 + 0.149021i
\(518\) 673.832 18.0975i 0.0571554 0.00153505i
\(519\) 1412.74 447.785i 0.119485 0.0378720i
\(520\) −50206.4 −4.23403
\(521\) −1219.25 + 2111.80i −0.102526 + 0.177580i −0.912725 0.408575i \(-0.866026\pi\)
0.810199 + 0.586155i \(0.199359\pi\)
\(522\) 1419.14 + 15675.0i 0.118992 + 1.31432i
\(523\) −610.745 1057.84i −0.0510631 0.0884439i 0.839364 0.543570i \(-0.182928\pi\)
−0.890427 + 0.455126i \(0.849594\pi\)
\(524\) −6526.99 + 11305.1i −0.544147 + 0.942490i
\(525\) −19652.0 + 6814.74i −1.63368 + 0.566514i
\(526\) 10831.9 + 18761.4i 0.897897 + 1.55520i
\(527\) −381.218 + 660.289i −0.0315107 + 0.0545781i
\(528\) 7290.72 + 6660.47i 0.600924 + 0.548976i
\(529\) 1408.90 + 2440.29i 0.115797 + 0.200566i
\(530\) 119.682 + 207.296i 0.00980881 + 0.0169893i
\(531\) 9096.87 6410.76i 0.743447 0.523924i
\(532\) −28821.1 + 774.064i −2.34879 + 0.0630826i
\(533\) −4773.05 + 8267.17i −0.387887 + 0.671840i
\(534\) 224.000 + 204.636i 0.0181524 + 0.0165832i
\(535\) 12089.2 0.976941
\(536\) −1880.81 −0.151565
\(537\) 3214.13 14602.4i 0.258287 1.17345i
\(538\) −1674.80 + 2900.83i −0.134211 + 0.232461i
\(539\) −2668.39 + 5254.43i −0.213239 + 0.419897i
\(540\) −17850.4 42547.9i −1.42252 3.39069i
\(541\) −4410.12 7638.56i −0.350473 0.607037i 0.635859 0.771805i \(-0.280646\pi\)
−0.986332 + 0.164768i \(0.947313\pi\)
\(542\) 9187.79 + 15913.7i 0.728135 + 1.26117i
\(543\) −4549.41 + 1441.99i −0.359547 + 0.113962i
\(544\) 1244.79 2156.03i 0.0981061 0.169925i
\(545\) −4005.59 6937.89i −0.314827 0.545296i
\(546\) 25203.5 8739.85i 1.97548 0.685039i
\(547\) 6262.47 10846.9i 0.489514 0.847862i −0.510414 0.859929i \(-0.670508\pi\)
0.999927 + 0.0120667i \(0.00384105\pi\)
\(548\) −6835.87 11840.1i −0.532872 0.922962i
\(549\) −15712.5 + 11073.0i −1.22148 + 0.860807i
\(550\) 9432.40 16337.4i 0.731271 1.26660i
\(551\) 10032.3 0.775665
\(552\) 5380.20 24443.3i 0.414849 1.88474i
\(553\) 9491.15 17508.5i 0.729846 1.34636i
\(554\) −1713.77 2968.34i −0.131428 0.227641i
\(555\) 655.480 207.762i 0.0501325 0.0158901i
\(556\) −14942.8 25881.7i −1.13978 1.97415i
\(557\) 4686.71 8117.61i 0.356521 0.617512i −0.630856 0.775900i \(-0.717296\pi\)
0.987377 + 0.158388i \(0.0506295\pi\)
\(558\) −5609.90 + 3953.42i −0.425602 + 0.299931i
\(559\) 8447.58 0.639167
\(560\) −19791.4 32248.0i −1.49346 2.43344i
\(561\) −1296.78 + 411.028i −0.0975935 + 0.0309333i
\(562\) 21383.5 37037.4i 1.60500 2.77994i
\(563\) −16171.1 −1.21054 −0.605268 0.796022i \(-0.706934\pi\)
−0.605268 + 0.796022i \(0.706934\pi\)
\(564\) 10384.0 3291.33i 0.775258 0.245727i
\(565\) 34323.8 2.55578
\(566\) 32909.4 2.44396
\(567\) 9013.93 + 10051.5i 0.667636 + 0.744488i
\(568\) 14456.7 1.06794
\(569\) −15902.7 −1.17167 −0.585833 0.810432i \(-0.699232\pi\)
−0.585833 + 0.810432i \(0.699232\pi\)
\(570\) −40632.3 + 12878.9i −2.98579 + 0.946379i
\(571\) 13216.1 0.968608 0.484304 0.874900i \(-0.339073\pi\)
0.484304 + 0.874900i \(0.339073\pi\)
\(572\) −8346.88 + 14457.2i −0.610141 + 1.05680i
\(573\) −15664.6 + 4965.06i −1.14205 + 0.361987i
\(574\) −16453.2 + 441.893i −1.19642 + 0.0321329i
\(575\) −20898.9 −1.51573
\(576\) −1211.91 + 854.060i −0.0876671 + 0.0617810i
\(577\) 3146.59 5450.06i 0.227027 0.393222i −0.729899 0.683555i \(-0.760433\pi\)
0.956926 + 0.290334i \(0.0937662\pi\)
\(578\) −11889.2 20592.8i −0.855583 1.48191i
\(579\) −8856.72 + 2807.24i −0.635705 + 0.201494i
\(580\) 18869.5 + 32683.0i 1.35089 + 2.33981i
\(581\) −12300.8 20042.9i −0.878356 1.43119i
\(582\) 10614.3 48222.9i 0.755976 3.43454i
\(583\) 43.8314 0.00311374
\(584\) −10457.9 + 18113.5i −0.741009 + 1.28346i
\(585\) 22243.4 15675.4i 1.57205 1.10786i
\(586\) −2872.54 4975.38i −0.202497 0.350736i
\(587\) −7722.40 + 13375.6i −0.542994 + 0.940493i 0.455736 + 0.890115i \(0.349376\pi\)
−0.998730 + 0.0503782i \(0.983957\pi\)
\(588\) 24545.5 + 20116.4i 1.72150 + 1.41086i
\(589\) 2187.28 + 3788.49i 0.153014 + 0.265029i
\(590\) 19336.8 33492.3i 1.34929 2.33705i
\(591\) 25221.0 7994.09i 1.75542 0.556401i
\(592\) 396.252 + 686.328i 0.0275099 + 0.0476485i
\(593\) 4163.34 + 7211.12i 0.288310 + 0.499368i 0.973407 0.229085i \(-0.0735732\pi\)
−0.685096 + 0.728453i \(0.740240\pi\)
\(594\) −12147.5 1543.24i −0.839085 0.106599i
\(595\) 5210.43 139.939i 0.359003 0.00964193i
\(596\) −29342.3 + 50822.3i −2.01662 + 3.49289i
\(597\) 2848.45 12941.1i 0.195275 0.887173i
\(598\) 26802.6 1.83284
\(599\) −5945.91 −0.405582 −0.202791 0.979222i \(-0.565001\pi\)
−0.202791 + 0.979222i \(0.565001\pi\)
\(600\) −41306.0 37735.3i −2.81052 2.56756i
\(601\) −867.852 + 1503.16i −0.0589025 + 0.102022i −0.893973 0.448121i \(-0.852093\pi\)
0.835071 + 0.550143i \(0.185427\pi\)
\(602\) 7618.58 + 12413.7i 0.515798 + 0.840439i
\(603\) 833.273 587.226i 0.0562744 0.0396578i
\(604\) 13361.1 + 23142.1i 0.900092 + 1.55900i
\(605\) 9565.65 + 16568.2i 0.642808 + 1.11338i
\(606\) −9761.32 8917.50i −0.654334 0.597770i
\(607\) −7230.40 + 12523.4i −0.483481 + 0.837413i −0.999820 0.0189710i \(-0.993961\pi\)
0.516339 + 0.856384i \(0.327294\pi\)
\(608\) −7142.11 12370.5i −0.476399 0.825148i
\(609\) −8349.95 7226.57i −0.555595 0.480846i
\(610\) −33399.4 + 57849.5i −2.21689 + 3.83977i
\(611\) 3212.16 + 5563.62i 0.212684 + 0.368380i
\(612\) 660.539 + 7295.92i 0.0436286 + 0.481895i
\(613\) −9264.27 + 16046.2i −0.610408 + 1.05726i 0.380763 + 0.924673i \(0.375661\pi\)
−0.991172 + 0.132586i \(0.957672\pi\)
\(614\) 6873.08 0.451750
\(615\) −16005.1 + 5073.00i −1.04941 + 0.332623i
\(616\) −15845.6 + 425.574i −1.03643 + 0.0278358i
\(617\) 3589.01 + 6216.34i 0.234178 + 0.405609i 0.959034 0.283292i \(-0.0914267\pi\)
−0.724855 + 0.688901i \(0.758093\pi\)
\(618\) −3830.47 + 17402.6i −0.249327 + 1.13274i
\(619\) −4541.26 7865.70i −0.294877 0.510742i 0.680079 0.733139i \(-0.261945\pi\)
−0.974956 + 0.222397i \(0.928612\pi\)
\(620\) −8228.02 + 14251.3i −0.532976 + 0.923141i
\(621\) 5248.03 + 12509.1i 0.339124 + 0.808332i
\(622\) 48744.7 3.14225
\(623\) −212.795 + 5.71515i −0.0136845 + 0.000367533i
\(624\) 23154.9 + 21153.3i 1.48548 + 1.35707i
\(625\) −2037.02 + 3528.22i −0.130369 + 0.225806i
\(626\) 6656.16 0.424974
\(627\) −1677.84 + 7622.75i −0.106868 + 0.485523i
\(628\) −7458.54 −0.473930
\(629\) −109.173 −0.00692054
\(630\) 43095.4 + 18549.4i 2.72534 + 1.17306i
\(631\) −15257.6 −0.962595 −0.481297 0.876557i \(-0.659834\pi\)
−0.481297 + 0.876557i \(0.659834\pi\)
\(632\) 53568.6 3.37159
\(633\) 11184.4 + 10217.6i 0.702276 + 0.641567i
\(634\) −33758.7 −2.11472
\(635\) −22335.1 + 38685.5i −1.39581 + 2.41762i
\(636\) 50.7400 230.522i 0.00316348 0.0143723i
\(637\) −8474.67 + 16687.8i −0.527125 + 1.03798i
\(638\) 10015.4 0.621497
\(639\) −6404.88 + 4513.66i −0.396515 + 0.279433i
\(640\) −14646.8 + 25369.1i −0.904637 + 1.56688i
\(641\) 7720.77 + 13372.8i 0.475744 + 0.824013i 0.999614 0.0277854i \(-0.00884549\pi\)
−0.523870 + 0.851798i \(0.675512\pi\)
\(642\) −12755.8 11653.1i −0.784162 0.716375i
\(643\) −5388.32 9332.85i −0.330474 0.572398i 0.652131 0.758106i \(-0.273875\pi\)
−0.982605 + 0.185709i \(0.940542\pi\)
\(644\) 16678.9 + 27176.5i 1.02056 + 1.66289i
\(645\) 10969.4 + 10021.2i 0.669645 + 0.611757i
\(646\) 6767.49 0.412172
\(647\) −4762.72 + 8249.27i −0.289400 + 0.501255i −0.973667 0.227977i \(-0.926789\pi\)
0.684267 + 0.729232i \(0.260122\pi\)
\(648\) −12214.1 + 34199.9i −0.740455 + 2.07330i
\(649\) −3540.87 6132.97i −0.214162 0.370940i
\(650\) 29956.8 51886.7i 1.80770 3.13102i
\(651\) 908.468 4728.74i 0.0546938 0.284691i
\(652\) −29266.4 50690.8i −1.75791 3.04479i
\(653\) 10699.0 18531.2i 0.641169 1.11054i −0.344003 0.938968i \(-0.611783\pi\)
0.985172 0.171569i \(-0.0548835\pi\)
\(654\) −2461.16 + 11181.5i −0.147154 + 0.668550i
\(655\) −6770.30 11726.5i −0.403874 0.699530i
\(656\) −9675.44 16758.4i −0.575858 0.997414i
\(657\) −1022.16 11290.1i −0.0606974 0.670426i
\(658\) −5278.79 + 9737.89i −0.312749 + 0.576934i
\(659\) 5564.91 9638.70i 0.328950 0.569758i −0.653354 0.757053i \(-0.726639\pi\)
0.982304 + 0.187295i \(0.0599719\pi\)
\(660\) −27989.0 + 8871.42i −1.65071 + 0.523211i
\(661\) −12527.1 −0.737136 −0.368568 0.929601i \(-0.620152\pi\)
−0.368568 + 0.929601i \(0.620152\pi\)
\(662\) 13321.4 0.782100
\(663\) −4118.49 + 1305.40i −0.241250 + 0.0764670i
\(664\) 31627.3 54780.0i 1.84846 3.20162i
\(665\) 14252.4 26291.7i 0.831104 1.53316i
\(666\) −891.888 412.617i −0.0518919 0.0240069i
\(667\) −5547.67 9608.84i −0.322049 0.557805i
\(668\) −8064.32 13967.8i −0.467093 0.809028i
\(669\) 754.532 3427.99i 0.0436052 0.198107i
\(670\) 1771.25 3067.89i 0.102133 0.176900i
\(671\) 6115.96 + 10593.2i 0.351869 + 0.609455i
\(672\) −2966.41 + 15440.7i −0.170285 + 0.886365i
\(673\) 4494.06 7783.93i 0.257404 0.445837i −0.708141 0.706071i \(-0.750466\pi\)
0.965546 + 0.260233i \(0.0837994\pi\)
\(674\) −28266.7 48959.4i −1.61542 2.79799i
\(675\) 30081.8 + 3821.67i 1.71533 + 0.217920i
\(676\) −6949.12 + 12036.2i −0.395376 + 0.684811i
\(677\) −16486.6 −0.935941 −0.467971 0.883744i \(-0.655015\pi\)
−0.467971 + 0.883744i \(0.655015\pi\)
\(678\) −36216.3 33085.6i −2.05145 1.87411i
\(679\) 18121.3 + 29526.8i 1.02420 + 1.66883i
\(680\) 7009.99 + 12141.7i 0.395325 + 0.684723i
\(681\) −2467.93 2254.59i −0.138871 0.126867i
\(682\) 2183.60 + 3782.11i 0.122602 + 0.212353i
\(683\) 7398.40 12814.4i 0.414483 0.717905i −0.580891 0.813981i \(-0.697296\pi\)
0.995374 + 0.0960760i \(0.0306292\pi\)
\(684\) 38147.8 + 17648.4i 2.13248 + 0.986557i
\(685\) 14181.4 0.791011
\(686\) −32165.7 + 2596.67i −1.79022 + 0.144521i
\(687\) 4092.60 18593.5i 0.227282 1.03258i
\(688\) −8562.03 + 14829.9i −0.474454 + 0.821778i
\(689\) 139.206 0.00769715
\(690\) 34804.0 + 31795.4i 1.92024 + 1.75424i
\(691\) −8746.66 −0.481532 −0.240766 0.970583i \(-0.577399\pi\)
−0.240766 + 0.970583i \(0.577399\pi\)
\(692\) −5078.57 −0.278986
\(693\) 6887.35 5135.85i 0.377531 0.281522i
\(694\) −43571.2 −2.38320
\(695\) 30999.6 1.69192
\(696\) 6385.05 29008.5i 0.347737 1.57984i
\(697\) 2665.72 0.144866
\(698\) 1870.08 3239.08i 0.101409 0.175646i
\(699\) 16063.0 + 14674.4i 0.869181 + 0.794045i
\(700\) 71252.1 1913.66i 3.84725 0.103328i
\(701\) 6101.34 0.328737 0.164368 0.986399i \(-0.447441\pi\)
0.164368 + 0.986399i \(0.447441\pi\)
\(702\) −38579.7 4901.26i −2.07421 0.263513i
\(703\) −313.197 + 542.473i −0.0168029 + 0.0291035i
\(704\) 471.725 + 817.052i 0.0252540 + 0.0437412i
\(705\) −2428.92 + 11035.0i −0.129756 + 0.589509i
\(706\) −23363.3 40466.4i −1.24545 2.15718i
\(707\) 9273.07 249.052i 0.493281 0.0132483i
\(708\) −36354.0 + 11522.8i −1.92975 + 0.611657i
\(709\) 10293.3 0.545237 0.272618 0.962122i \(-0.412110\pi\)
0.272618 + 0.962122i \(0.412110\pi\)
\(710\) −13614.6 + 23581.1i −0.719641 + 1.24645i
\(711\) −23733.0 + 16725.1i −1.25184 + 0.882197i
\(712\) −286.290 495.868i −0.0150691 0.0261004i
\(713\) 2419.04 4189.91i 0.127060 0.220075i
\(714\) −5632.61 4874.81i −0.295231 0.255512i
\(715\) −8658.02 14996.1i −0.452855 0.784369i
\(716\) −25618.8 + 44373.0i −1.33718 + 2.31606i
\(717\) 483.273 + 441.496i 0.0251718 + 0.0229958i
\(718\) 3714.51 + 6433.72i 0.193070 + 0.334407i
\(719\) −3415.37 5915.59i −0.177151 0.306835i 0.763752 0.645509i \(-0.223355\pi\)
−0.940904 + 0.338674i \(0.890021\pi\)
\(720\) 4973.69 + 54936.4i 0.257442 + 2.84355i
\(721\) −6539.59 10655.6i −0.337791 0.550395i
\(722\) 1992.84 3451.71i 0.102723 0.177921i
\(723\) 25344.6 + 23153.6i 1.30370 + 1.19100i
\(724\) 16354.3 0.839509
\(725\) −24802.1 −1.27052
\(726\) 5877.43 26702.3i 0.300457 1.36503i
\(727\) −4704.28 + 8148.05i −0.239989 + 0.415673i −0.960711 0.277551i \(-0.910477\pi\)
0.720722 + 0.693224i \(0.243810\pi\)
\(728\) −50324.9 + 1351.60i −2.56204 + 0.0688100i
\(729\) −5266.54 18965.3i −0.267568 0.963539i
\(730\) −19697.3 34116.7i −0.998671 1.72975i
\(731\) −1179.48 2042.92i −0.0596781 0.103365i
\(732\) 62792.3 19902.7i 3.17059 1.00495i
\(733\) −14180.5 + 24561.3i −0.714554 + 1.23764i 0.248578 + 0.968612i \(0.420037\pi\)
−0.963131 + 0.269032i \(0.913296\pi\)
\(734\) −12982.8 22486.9i −0.652869 1.13080i
\(735\) −30801.0 + 11616.3i −1.54573 + 0.582958i
\(736\) −7898.87 + 13681.2i −0.395593 + 0.685187i
\(737\) −324.344 561.780i −0.0162108 0.0280779i
\(738\) 21777.6 + 10075.0i 1.08624 + 0.502530i
\(739\) 11135.5 19287.2i 0.554296 0.960069i −0.443662 0.896194i \(-0.646321\pi\)
0.997958 0.0638750i \(-0.0203459\pi\)
\(740\) −2356.34 −0.117055
\(741\) −5328.73 + 24209.4i −0.264178 + 1.20021i
\(742\) 125.545 + 204.563i 0.00621148 + 0.0101210i
\(743\) 1289.88 + 2234.14i 0.0636892 + 0.110313i 0.896112 0.443828i \(-0.146380\pi\)
−0.832423 + 0.554141i \(0.813047\pi\)
\(744\) 12346.5 3913.37i 0.608395 0.192838i
\(745\) −30436.0 52716.7i −1.49676 2.59247i
\(746\) 31574.5 54688.7i 1.54963 2.68404i
\(747\) 3091.27 + 34144.3i 0.151411 + 1.67239i
\(748\) 4661.69 0.227872
\(749\) 12117.8 325.454i 0.591154 0.0158769i
\(750\) 42357.7 13425.7i 2.06225 0.653652i
\(751\) −4300.14 + 7448.05i −0.208940 + 0.361895i −0.951381 0.308017i \(-0.900335\pi\)
0.742441 + 0.669912i \(0.233668\pi\)
\(752\) −13022.7 −0.631502
\(753\) −35767.8 + 11337.0i −1.73101 + 0.548664i
\(754\) 31808.5 1.53634
\(755\) −27718.3 −1.33612
\(756\) −19038.0 42167.8i −0.915878 2.02861i
\(757\) 16640.3 0.798947 0.399474 0.916745i \(-0.369193\pi\)
0.399474 + 0.916745i \(0.369193\pi\)
\(758\) −52407.3 −2.51124
\(759\) 8228.78 2608.21i 0.393526 0.124732i
\(760\) 80441.4 3.83936
\(761\) 14745.1 25539.2i 0.702376 1.21655i −0.265254 0.964179i \(-0.585456\pi\)
0.967630 0.252373i \(-0.0812109\pi\)
\(762\) 60856.5 19289.2i 2.89317 0.917024i
\(763\) −4201.82 6846.43i −0.199366 0.324846i
\(764\) 56311.4 2.66659
\(765\) −6896.56 3190.57i −0.325942 0.150791i
\(766\) 5130.64 8886.54i 0.242007 0.419169i
\(767\) −11245.6 19478.0i −0.529408 0.916962i
\(768\) 37732.4 11959.7i 1.77285 0.561926i
\(769\) −7237.30 12535.4i −0.339381 0.587825i 0.644936 0.764237i \(-0.276884\pi\)
−0.984316 + 0.176412i \(0.943551\pi\)
\(770\) 14228.4 26247.4i 0.665917 1.22843i
\(771\) −4817.38 + 21886.3i −0.225024 + 1.02233i
\(772\) 31838.4 1.48431
\(773\) −12775.8 + 22128.4i −0.594455 + 1.02963i 0.399168 + 0.916878i \(0.369299\pi\)
−0.993623