Properties

Label 63.4.o.a.20.6
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.6
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.28475 - 1.89645i) q^{2} +(4.97559 - 1.49782i) q^{3} +(3.19307 + 5.53055i) q^{4} +(9.97590 + 17.2788i) q^{5} +(-19.1841 - 4.51602i) q^{6} +(-13.5672 + 12.6068i) q^{7} +6.12125i q^{8} +(22.5131 - 14.9051i) q^{9} +O(q^{10})\) \(q+(-3.28475 - 1.89645i) q^{2} +(4.97559 - 1.49782i) q^{3} +(3.19307 + 5.53055i) q^{4} +(9.97590 + 17.2788i) q^{5} +(-19.1841 - 4.51602i) q^{6} +(-13.5672 + 12.6068i) q^{7} +6.12125i q^{8} +(22.5131 - 14.9051i) q^{9} -75.6753i q^{10} +(31.1676 + 17.9946i) q^{11} +(24.1712 + 22.7352i) q^{12} +(-6.59980 + 3.81040i) q^{13} +(68.4731 - 15.6805i) q^{14} +(75.5165 + 71.0301i) q^{15} +(37.1532 - 64.3512i) q^{16} +21.4747 q^{17} +(-102.217 + 6.26447i) q^{18} -97.3022i q^{19} +(-63.7074 + 110.345i) q^{20} +(-48.6223 + 83.0474i) q^{21} +(-68.2518 - 118.216i) q^{22} +(-35.6964 + 20.6094i) q^{23} +(9.16851 + 30.4568i) q^{24} +(-136.537 + 236.489i) q^{25} +28.9050 q^{26} +(89.6909 - 107.882i) q^{27} +(-113.043 - 34.7800i) q^{28} +(-51.8612 - 29.9421i) q^{29} +(-113.348 - 376.530i) q^{30} +(-61.1449 + 35.3020i) q^{31} +(-201.669 + 116.434i) q^{32} +(182.030 + 42.8505i) q^{33} +(-70.5390 - 40.7257i) q^{34} +(-353.175 - 108.661i) q^{35} +(154.319 + 76.9169i) q^{36} +355.309 q^{37} +(-184.529 + 319.614i) q^{38} +(-27.1307 + 28.8443i) q^{39} +(-105.768 + 61.0649i) q^{40} +(-7.30794 - 12.6577i) q^{41} +(317.208 - 180.580i) q^{42} +(-48.8575 + 84.6237i) q^{43} +229.832i q^{44} +(482.130 + 240.307i) q^{45} +156.339 q^{46} +(234.897 - 406.853i) q^{47} +(88.4728 - 375.834i) q^{48} +(25.1387 - 342.078i) q^{49} +(896.982 - 517.873i) q^{50} +(106.849 - 32.1651i) q^{51} +(-42.1472 - 24.3337i) q^{52} +710.531i q^{53} +(-499.206 + 184.271i) q^{54} +718.049i q^{55} +(-77.1691 - 83.0483i) q^{56} +(-145.741 - 484.136i) q^{57} +(113.568 + 196.705i) q^{58} +(-232.735 - 403.109i) q^{59} +(-151.706 + 644.452i) q^{60} +(-542.558 - 313.246i) q^{61} +267.794 q^{62} +(-117.535 + 486.038i) q^{63} +288.792 q^{64} +(-131.678 - 76.0243i) q^{65} +(-516.659 - 485.964i) q^{66} +(-262.327 - 454.364i) q^{67} +(68.5700 + 118.767i) q^{68} +(-146.742 + 156.011i) q^{69} +(954.021 + 1026.70i) q^{70} -115.729i q^{71} +(91.2376 + 137.808i) q^{72} -708.180i q^{73} +(-1167.10 - 673.827i) q^{74} +(-325.136 + 1381.18i) q^{75} +(538.135 - 310.692i) q^{76} +(-649.711 + 148.786i) q^{77} +(143.819 - 43.2944i) q^{78} +(128.747 - 222.997i) q^{79} +1482.55 q^{80} +(284.678 - 671.118i) q^{81} +55.4366i q^{82} +(-200.583 + 347.420i) q^{83} +(-614.552 - 3.73248i) q^{84} +(214.229 + 371.056i) q^{85} +(320.970 - 185.312i) q^{86} +(-302.888 - 71.3010i) q^{87} +(-110.149 + 190.784i) q^{88} +977.834 q^{89} +(-1127.95 - 1703.68i) q^{90} +(41.5042 - 134.899i) q^{91} +(-227.962 - 131.614i) q^{92} +(-251.356 + 267.233i) q^{93} +(-1543.16 + 890.942i) q^{94} +(1681.26 - 970.677i) q^{95} +(-829.026 + 881.389i) q^{96} +(521.193 + 300.911i) q^{97} +(-731.308 + 1075.97i) q^{98} +(969.889 - 59.4408i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.28475 1.89645i −1.16134 0.670497i −0.209712 0.977763i \(-0.567253\pi\)
−0.951624 + 0.307266i \(0.900586\pi\)
\(3\) 4.97559 1.49782i 0.957554 0.288255i
\(4\) 3.19307 + 5.53055i 0.399133 + 0.691319i
\(5\) 9.97590 + 17.2788i 0.892272 + 1.54546i 0.837145 + 0.546981i \(0.184223\pi\)
0.0551264 + 0.998479i \(0.482444\pi\)
\(6\) −19.1841 4.51602i −1.30532 0.307276i
\(7\) −13.5672 + 12.6068i −0.732561 + 0.680702i
\(8\) 6.12125i 0.270523i
\(9\) 22.5131 14.9051i 0.833818 0.552040i
\(10\) 75.6753i 2.39306i
\(11\) 31.1676 + 17.9946i 0.854307 + 0.493234i 0.862102 0.506735i \(-0.169148\pi\)
−0.00779501 + 0.999970i \(0.502481\pi\)
\(12\) 24.1712 + 22.7352i 0.581468 + 0.546923i
\(13\) −6.59980 + 3.81040i −0.140804 + 0.0812934i −0.568747 0.822512i \(-0.692572\pi\)
0.427943 + 0.903806i \(0.359238\pi\)
\(14\) 68.4731 15.6805i 1.30716 0.299343i
\(15\) 75.5165 + 71.0301i 1.29988 + 1.22266i
\(16\) 37.1532 64.3512i 0.580519 1.00549i
\(17\) 21.4747 0.306375 0.153187 0.988197i \(-0.451046\pi\)
0.153187 + 0.988197i \(0.451046\pi\)
\(18\) −102.217 + 6.26447i −1.33848 + 0.0820306i
\(19\) 97.3022i 1.17488i −0.809269 0.587438i \(-0.800136\pi\)
0.809269 0.587438i \(-0.199864\pi\)
\(20\) −63.7074 + 110.345i −0.712271 + 1.23369i
\(21\) −48.6223 + 83.0474i −0.505250 + 0.862973i
\(22\) −68.2518 118.216i −0.661424 1.14562i
\(23\) −35.6964 + 20.6094i −0.323618 + 0.186841i −0.653004 0.757354i \(-0.726492\pi\)
0.329386 + 0.944195i \(0.393158\pi\)
\(24\) 9.16851 + 30.4568i 0.0779798 + 0.259041i
\(25\) −136.537 + 236.489i −1.09230 + 1.89191i
\(26\) 28.9050 0.218028
\(27\) 89.6909 107.882i 0.639297 0.768960i
\(28\) −113.043 34.7800i −0.762971 0.234743i
\(29\) −51.8612 29.9421i −0.332082 0.191728i 0.324683 0.945823i \(-0.394742\pi\)
−0.656765 + 0.754095i \(0.728076\pi\)
\(30\) −113.348 376.530i −0.689813 2.29149i
\(31\) −61.1449 + 35.3020i −0.354256 + 0.204530i −0.666558 0.745453i \(-0.732233\pi\)
0.312302 + 0.949983i \(0.398900\pi\)
\(32\) −201.669 + 116.434i −1.11407 + 0.643211i
\(33\) 182.030 + 42.8505i 0.960222 + 0.226040i
\(34\) −70.5390 40.7257i −0.355804 0.205423i
\(35\) −353.175 108.661i −1.70564 0.524773i
\(36\) 154.319 + 76.9169i 0.714440 + 0.356097i
\(37\) 355.309 1.57872 0.789358 0.613933i \(-0.210414\pi\)
0.789358 + 0.613933i \(0.210414\pi\)
\(38\) −184.529 + 319.614i −0.787752 + 1.36443i
\(39\) −27.1307 + 28.8443i −0.111394 + 0.118430i
\(40\) −105.768 + 61.0649i −0.418083 + 0.241380i
\(41\) −7.30794 12.6577i −0.0278368 0.0482147i 0.851771 0.523914i \(-0.175529\pi\)
−0.879608 + 0.475699i \(0.842195\pi\)
\(42\) 317.208 180.580i 1.16539 0.663432i
\(43\) −48.8575 + 84.6237i −0.173272 + 0.300116i −0.939562 0.342379i \(-0.888767\pi\)
0.766290 + 0.642495i \(0.222101\pi\)
\(44\) 229.832i 0.787465i
\(45\) 482.130 + 240.307i 1.59715 + 0.796063i
\(46\) 156.339 0.501106
\(47\) 234.897 406.853i 0.729005 1.26267i −0.228299 0.973591i \(-0.573316\pi\)
0.957304 0.289083i \(-0.0933503\pi\)
\(48\) 88.4728 375.834i 0.266041 1.13015i
\(49\) 25.1387 342.078i 0.0732907 0.997311i
\(50\) 896.982 517.873i 2.53705 1.46477i
\(51\) 106.849 32.1651i 0.293370 0.0883141i
\(52\) −42.1472 24.3337i −0.112399 0.0648938i
\(53\) 710.531i 1.84149i 0.390167 + 0.920744i \(0.372417\pi\)
−0.390167 + 0.920744i \(0.627583\pi\)
\(54\) −499.206 + 184.271i −1.25802 + 0.464374i
\(55\) 718.049i 1.76040i
\(56\) −77.1691 83.0483i −0.184146 0.198175i
\(57\) −145.741 484.136i −0.338664 1.12501i
\(58\) 113.568 + 196.705i 0.257106 + 0.445321i
\(59\) −232.735 403.109i −0.513551 0.889497i −0.999876 0.0157191i \(-0.994996\pi\)
0.486325 0.873778i \(-0.338337\pi\)
\(60\) −151.706 + 644.452i −0.326420 + 1.38664i
\(61\) −542.558 313.246i −1.13881 0.657492i −0.192674 0.981263i \(-0.561716\pi\)
−0.946136 + 0.323771i \(0.895049\pi\)
\(62\) 267.794 0.548547
\(63\) −117.535 + 486.038i −0.235048 + 0.971984i
\(64\) 288.792 0.564047
\(65\) −131.678 76.0243i −0.251271 0.145072i
\(66\) −516.659 485.964i −0.963580 0.906334i
\(67\) −262.327 454.364i −0.478334 0.828498i 0.521358 0.853338i \(-0.325426\pi\)
−0.999691 + 0.0248401i \(0.992092\pi\)
\(68\) 68.5700 + 118.767i 0.122284 + 0.211803i
\(69\) −146.742 + 156.011i −0.256024 + 0.272195i
\(70\) 954.021 + 1026.70i 1.62896 + 1.75306i
\(71\) 115.729i 0.193443i −0.995311 0.0967216i \(-0.969164\pi\)
0.995311 0.0967216i \(-0.0308356\pi\)
\(72\) 91.2376 + 137.808i 0.149340 + 0.225567i
\(73\) 708.180i 1.13543i −0.823226 0.567714i \(-0.807828\pi\)
0.823226 0.567714i \(-0.192172\pi\)
\(74\) −1167.10 673.827i −1.83342 1.05852i
\(75\) −325.136 + 1381.18i −0.500579 + 2.12647i
\(76\) 538.135 310.692i 0.812215 0.468933i
\(77\) −649.711 + 148.786i −0.961577 + 0.220204i
\(78\) 143.819 43.2944i 0.208774 0.0628477i
\(79\) 128.747 222.997i 0.183357 0.317584i −0.759665 0.650315i \(-0.774637\pi\)
0.943022 + 0.332731i \(0.107970\pi\)
\(80\) 1482.55 2.07192
\(81\) 284.678 671.118i 0.390504 0.920601i
\(82\) 55.4366i 0.0746579i
\(83\) −200.583 + 347.420i −0.265263 + 0.459449i −0.967632 0.252364i \(-0.918792\pi\)
0.702370 + 0.711812i \(0.252125\pi\)
\(84\) −614.552 3.73248i −0.798252 0.00484817i
\(85\) 214.229 + 371.056i 0.273370 + 0.473490i
\(86\) 320.970 185.312i 0.402454 0.232357i
\(87\) −302.888 71.3010i −0.373253 0.0878652i
\(88\) −110.149 + 190.784i −0.133431 + 0.231110i
\(89\) 977.834 1.16461 0.582304 0.812971i \(-0.302151\pi\)
0.582304 + 0.812971i \(0.302151\pi\)
\(90\) −1127.95 1703.68i −1.32107 1.99538i
\(91\) 41.5042 134.899i 0.0478112 0.155398i
\(92\) −227.962 131.614i −0.258334 0.149149i
\(93\) −251.356 + 267.233i −0.280263 + 0.297965i
\(94\) −1543.16 + 890.942i −1.69324 + 0.977592i
\(95\) 1681.26 970.677i 1.81573 1.04831i
\(96\) −829.026 + 881.389i −0.881376 + 0.937046i
\(97\) 521.193 + 300.911i 0.545558 + 0.314978i 0.747328 0.664455i \(-0.231336\pi\)
−0.201770 + 0.979433i \(0.564670\pi\)
\(98\) −731.308 + 1075.97i −0.753809 + 1.10907i
\(99\) 969.889 59.4408i 0.984621 0.0603437i
\(100\) −1743.89 −1.74389
\(101\) −212.644 + 368.310i −0.209494 + 0.362853i −0.951555 0.307478i \(-0.900515\pi\)
0.742062 + 0.670332i \(0.233848\pi\)
\(102\) −411.973 96.9800i −0.399916 0.0941417i
\(103\) 657.161 379.412i 0.628660 0.362957i −0.151573 0.988446i \(-0.548434\pi\)
0.780233 + 0.625489i \(0.215101\pi\)
\(104\) −23.3244 40.3990i −0.0219918 0.0380909i
\(105\) −1920.01 11.6611i −1.78451 0.0108382i
\(106\) 1347.49 2333.92i 1.23471 2.13859i
\(107\) 866.455i 0.782835i −0.920213 0.391418i \(-0.871985\pi\)
0.920213 0.391418i \(-0.128015\pi\)
\(108\) 883.037 + 151.566i 0.786761 + 0.135041i
\(109\) −94.9205 −0.0834104 −0.0417052 0.999130i \(-0.513279\pi\)
−0.0417052 + 0.999130i \(0.513279\pi\)
\(110\) 1361.75 2358.61i 1.18034 2.04441i
\(111\) 1767.87 532.189i 1.51170 0.455073i
\(112\) 307.195 + 1341.45i 0.259172 + 1.13174i
\(113\) −1432.66 + 827.148i −1.19269 + 0.688597i −0.958915 0.283694i \(-0.908440\pi\)
−0.233771 + 0.972292i \(0.575107\pi\)
\(114\) −439.419 + 1866.66i −0.361012 + 1.53358i
\(115\) −712.208 411.194i −0.577511 0.333426i
\(116\) 382.428i 0.306100i
\(117\) −91.7877 + 184.154i −0.0725280 + 0.145513i
\(118\) 1765.48i 1.37734i
\(119\) −291.351 + 270.726i −0.224438 + 0.208550i
\(120\) −434.792 + 462.255i −0.330758 + 0.351649i
\(121\) −17.8889 30.9845i −0.0134402 0.0232791i
\(122\) 1188.11 + 2057.87i 0.881693 + 1.52714i
\(123\) −55.3203 52.0337i −0.0405534 0.0381441i
\(124\) −390.479 225.443i −0.282791 0.163269i
\(125\) −2954.35 −2.11396
\(126\) 1307.82 1373.61i 0.924682 0.971200i
\(127\) −280.600 −0.196057 −0.0980284 0.995184i \(-0.531254\pi\)
−0.0980284 + 0.995184i \(0.531254\pi\)
\(128\) 664.740 + 383.788i 0.459026 + 0.265019i
\(129\) −116.344 + 494.233i −0.0794073 + 0.337324i
\(130\) 288.353 + 499.442i 0.194540 + 0.336954i
\(131\) −1095.66 1897.74i −0.730751 1.26570i −0.956563 0.291527i \(-0.905837\pi\)
0.225812 0.974171i \(-0.427497\pi\)
\(132\) 344.246 + 1143.55i 0.226991 + 0.754040i
\(133\) 1226.67 + 1320.12i 0.799741 + 0.860669i
\(134\) 1989.96i 1.28289i
\(135\) 2758.82 + 473.527i 1.75882 + 0.301887i
\(136\) 131.452i 0.0828815i
\(137\) 985.315 + 568.872i 0.614461 + 0.354759i 0.774709 0.632318i \(-0.217896\pi\)
−0.160248 + 0.987077i \(0.551230\pi\)
\(138\) 777.878 234.167i 0.479836 0.144446i
\(139\) 1842.29 1063.64i 1.12418 0.649044i 0.181713 0.983352i \(-0.441836\pi\)
0.942464 + 0.334308i \(0.108502\pi\)
\(140\) −526.755 2300.21i −0.317992 1.38860i
\(141\) 559.359 2376.17i 0.334089 1.41922i
\(142\) −219.474 + 380.140i −0.129703 + 0.224652i
\(143\) −274.266 −0.160387
\(144\) −122.727 2002.51i −0.0710223 1.15886i
\(145\) 1194.80i 0.684293i
\(146\) −1343.03 + 2326.20i −0.761301 + 1.31861i
\(147\) −387.290 1739.69i −0.217300 0.976105i
\(148\) 1134.53 + 1965.06i 0.630118 + 1.09140i
\(149\) −362.688 + 209.398i −0.199413 + 0.115131i −0.596382 0.802701i \(-0.703395\pi\)
0.396969 + 0.917832i \(0.370062\pi\)
\(150\) 3687.34 3920.24i 2.00713 2.13391i
\(151\) 475.546 823.669i 0.256287 0.443902i −0.708957 0.705252i \(-0.750834\pi\)
0.965244 + 0.261349i \(0.0841674\pi\)
\(152\) 595.611 0.317832
\(153\) 483.461 320.081i 0.255461 0.169131i
\(154\) 2416.30 + 743.422i 1.26436 + 0.389004i
\(155\) −1219.95 704.339i −0.632186 0.364993i
\(156\) −246.155 57.9458i −0.126334 0.0297396i
\(157\) −1885.26 + 1088.45i −0.958343 + 0.553300i −0.895663 0.444734i \(-0.853298\pi\)
−0.0626806 + 0.998034i \(0.519965\pi\)
\(158\) −845.807 + 488.327i −0.425878 + 0.245881i
\(159\) 1064.25 + 3535.31i 0.530819 + 1.76332i
\(160\) −4023.66 2323.06i −1.98811 1.14784i
\(161\) 224.484 729.628i 0.109887 0.357160i
\(162\) −2207.84 + 1664.58i −1.07077 + 0.807294i
\(163\) −382.330 −0.183720 −0.0918601 0.995772i \(-0.529281\pi\)
−0.0918601 + 0.995772i \(0.529281\pi\)
\(164\) 46.6695 80.8339i 0.0222212 0.0384882i
\(165\) 1075.51 + 3572.72i 0.507443 + 1.68567i
\(166\) 1317.73 760.792i 0.616118 0.355716i
\(167\) 123.092 + 213.202i 0.0570370 + 0.0987909i 0.893134 0.449791i \(-0.148501\pi\)
−0.836097 + 0.548582i \(0.815168\pi\)
\(168\) −508.353 297.629i −0.233454 0.136682i
\(169\) −1069.46 + 1852.36i −0.486783 + 0.843132i
\(170\) 1625.10i 0.733174i
\(171\) −1450.30 2190.57i −0.648579 0.979633i
\(172\) −624.021 −0.276635
\(173\) −1988.82 + 3444.74i −0.874031 + 1.51387i −0.0162391 + 0.999868i \(0.505169\pi\)
−0.857792 + 0.513998i \(0.828164\pi\)
\(174\) 859.694 + 808.620i 0.374559 + 0.352306i
\(175\) −1128.94 4929.80i −0.487655 2.12947i
\(176\) 2315.95 1337.11i 0.991882 0.572663i
\(177\) −1761.78 1657.11i −0.748155 0.703707i
\(178\) −3211.94 1854.42i −1.35250 0.780867i
\(179\) 1454.87i 0.607498i 0.952752 + 0.303749i \(0.0982384\pi\)
−0.952752 + 0.303749i \(0.901762\pi\)
\(180\) 210.442 + 3433.76i 0.0871413 + 1.42187i
\(181\) 735.896i 0.302203i −0.988518 0.151101i \(-0.951718\pi\)
0.988518 0.151101i \(-0.0482820\pi\)
\(182\) −392.160 + 364.398i −0.159719 + 0.148412i
\(183\) −3168.73 745.931i −1.28000 0.301316i
\(184\) −126.155 218.507i −0.0505449 0.0875463i
\(185\) 3544.53 + 6139.31i 1.40864 + 2.43984i
\(186\) 1332.44 401.107i 0.525263 0.158122i
\(187\) 669.313 + 386.428i 0.261738 + 0.151115i
\(188\) 3000.17 1.16388
\(189\) 143.189 + 2594.37i 0.0551083 + 0.998480i
\(190\) −7363.38 −2.81155
\(191\) 2390.26 + 1380.02i 0.905515 + 0.522799i 0.878985 0.476849i \(-0.158221\pi\)
0.0265297 + 0.999648i \(0.491554\pi\)
\(192\) 1436.91 432.558i 0.540105 0.162589i
\(193\) −616.442 1067.71i −0.229909 0.398214i 0.727872 0.685713i \(-0.240510\pi\)
−0.957781 + 0.287499i \(0.907176\pi\)
\(194\) −1141.33 1976.84i −0.422384 0.731590i
\(195\) −769.047 181.037i −0.282424 0.0664836i
\(196\) 1972.15 953.245i 0.718713 0.347393i
\(197\) 497.068i 0.179770i 0.995952 + 0.0898849i \(0.0286499\pi\)
−0.995952 + 0.0898849i \(0.971350\pi\)
\(198\) −3298.57 1644.10i −1.18394 0.590106i
\(199\) 4502.53i 1.60390i −0.597391 0.801950i \(-0.703796\pi\)
0.597391 0.801950i \(-0.296204\pi\)
\(200\) −1447.61 835.778i −0.511807 0.295492i
\(201\) −1985.79 1867.81i −0.696849 0.655449i
\(202\) 1396.96 806.538i 0.486585 0.280930i
\(203\) 1081.09 247.572i 0.373780 0.0855967i
\(204\) 519.068 + 488.230i 0.178147 + 0.167563i
\(205\) 145.807 252.544i 0.0496759 0.0860413i
\(206\) −2878.15 −0.973447
\(207\) −496.453 + 996.038i −0.166695 + 0.334442i
\(208\) 566.274i 0.188769i
\(209\) 1750.91 3032.67i 0.579489 1.00371i
\(210\) 6284.64 + 3679.51i 2.06515 + 1.20910i
\(211\) 1714.83 + 2970.17i 0.559495 + 0.969074i 0.997539 + 0.0701201i \(0.0223383\pi\)
−0.438043 + 0.898954i \(0.644328\pi\)
\(212\) −3929.63 + 2268.77i −1.27306 + 0.734999i
\(213\) −173.340 575.819i −0.0557610 0.185232i
\(214\) −1643.19 + 2846.09i −0.524889 + 0.909134i
\(215\) −1949.59 −0.618424
\(216\) 660.373 + 549.020i 0.208022 + 0.172945i
\(217\) 384.522 1249.79i 0.120290 0.390974i
\(218\) 311.790 + 180.012i 0.0968675 + 0.0559265i
\(219\) −1060.72 3523.62i −0.327293 1.08723i
\(220\) −3971.21 + 2292.78i −1.21700 + 0.702632i
\(221\) −141.729 + 81.8270i −0.0431389 + 0.0249063i
\(222\) −6816.30 1604.58i −2.06072 0.485102i
\(223\) 2145.46 + 1238.68i 0.644263 + 0.371965i 0.786255 0.617903i \(-0.212017\pi\)
−0.141992 + 0.989868i \(0.545351\pi\)
\(224\) 1268.23 4122.07i 0.378292 1.22954i
\(225\) 451.018 + 7359.20i 0.133635 + 2.18050i
\(226\) 6274.59 1.84681
\(227\) −84.0252 + 145.536i −0.0245681 + 0.0425531i −0.878048 0.478573i \(-0.841154\pi\)
0.853480 + 0.521126i \(0.174488\pi\)
\(228\) 2212.18 2351.91i 0.642567 0.683153i
\(229\) 989.455 571.262i 0.285524 0.164847i −0.350397 0.936601i \(-0.613953\pi\)
0.635922 + 0.771754i \(0.280620\pi\)
\(230\) 1559.62 + 2701.34i 0.447123 + 0.774439i
\(231\) −3009.84 + 1713.45i −0.857286 + 0.488037i
\(232\) 183.283 317.455i 0.0518669 0.0898361i
\(233\) 2181.50i 0.613370i −0.951811 0.306685i \(-0.900780\pi\)
0.951811 0.306685i \(-0.0992198\pi\)
\(234\) 650.740 430.831i 0.181796 0.120360i
\(235\) 9373.23 2.60188
\(236\) 1486.28 2574.31i 0.409951 0.710056i
\(237\) 306.586 1302.38i 0.0840291 0.356957i
\(238\) 1470.44 336.734i 0.400480 0.0917111i
\(239\) −1654.14 + 955.020i −0.447689 + 0.258473i −0.706854 0.707360i \(-0.749886\pi\)
0.259165 + 0.965833i \(0.416553\pi\)
\(240\) 7376.55 2220.58i 1.98398 0.597242i
\(241\) 1962.89 + 1133.28i 0.524651 + 0.302907i 0.738836 0.673886i \(-0.235376\pi\)
−0.214184 + 0.976793i \(0.568709\pi\)
\(242\) 135.702i 0.0360464i
\(243\) 411.228 3765.61i 0.108561 0.994090i
\(244\) 4000.86i 1.04971i
\(245\) 6161.46 2978.17i 1.60670 0.776604i
\(246\) 83.0340 + 275.830i 0.0215205 + 0.0714890i
\(247\) 370.760 + 642.176i 0.0955098 + 0.165428i
\(248\) −216.092 374.283i −0.0553302 0.0958346i
\(249\) −477.647 + 2029.06i −0.121565 + 0.516410i
\(250\) 9704.31 + 5602.79i 2.45502 + 1.41741i
\(251\) 315.743 0.0794004 0.0397002 0.999212i \(-0.487360\pi\)
0.0397002 + 0.999212i \(0.487360\pi\)
\(252\) −3063.35 + 901.916i −0.765767 + 0.225458i
\(253\) −1483.43 −0.368626
\(254\) 921.702 + 532.145i 0.227688 + 0.131456i
\(255\) 1621.69 + 1525.35i 0.398252 + 0.374592i
\(256\) −2610.84 4522.11i −0.637412 1.10403i
\(257\) −2047.88 3547.03i −0.497055 0.860924i 0.502939 0.864322i \(-0.332252\pi\)
−0.999994 + 0.00339730i \(0.998919\pi\)
\(258\) 1319.45 1402.79i 0.318393 0.338504i
\(259\) −4820.56 + 4479.30i −1.15651 + 1.07463i
\(260\) 971.003i 0.231612i
\(261\) −1613.85 + 98.9065i −0.382738 + 0.0234566i
\(262\) 8311.48i 1.95987i
\(263\) 4270.21 + 2465.41i 1.00119 + 0.578036i 0.908600 0.417668i \(-0.137153\pi\)
0.0925883 + 0.995704i \(0.470486\pi\)
\(264\) −262.298 + 1114.25i −0.0611490 + 0.259762i
\(265\) −12277.1 + 7088.18i −2.84595 + 1.64311i
\(266\) −1525.75 6662.58i −0.351691 1.53575i
\(267\) 4865.30 1464.62i 1.11518 0.335705i
\(268\) 1675.26 2901.63i 0.381838 0.661362i
\(269\) 5506.26 1.24804 0.624019 0.781409i \(-0.285499\pi\)
0.624019 + 0.781409i \(0.285499\pi\)
\(270\) −8164.01 6787.38i −1.84017 1.52988i
\(271\) 7622.48i 1.70861i 0.519774 + 0.854304i \(0.326016\pi\)
−0.519774 + 0.854304i \(0.673984\pi\)
\(272\) 797.852 1381.92i 0.177856 0.308056i
\(273\) 4.45410 733.367i 0.000987451 0.162584i
\(274\) −2157.68 3737.21i −0.475730 0.823989i
\(275\) −8511.06 + 4913.86i −1.86631 + 1.07752i
\(276\) −1331.38 313.412i −0.290361 0.0683522i
\(277\) −1811.14 + 3136.99i −0.392856 + 0.680446i −0.992825 0.119577i \(-0.961846\pi\)
0.599969 + 0.800023i \(0.295179\pi\)
\(278\) −8068.60 −1.74073
\(279\) −850.381 + 1706.13i −0.182477 + 0.366104i
\(280\) 665.140 2161.87i 0.141963 0.461416i
\(281\) −1888.83 1090.51i −0.400989 0.231511i 0.285922 0.958253i \(-0.407700\pi\)
−0.686911 + 0.726742i \(0.741034\pi\)
\(282\) −6343.65 + 6744.33i −1.33957 + 1.42418i
\(283\) 1985.61 1146.39i 0.417075 0.240799i −0.276750 0.960942i \(-0.589257\pi\)
0.693825 + 0.720143i \(0.255924\pi\)
\(284\) 640.043 369.529i 0.133731 0.0772096i
\(285\) 6911.38 7347.92i 1.43647 1.52720i
\(286\) 900.897 + 520.133i 0.186263 + 0.107539i
\(287\) 258.721 + 79.6005i 0.0532120 + 0.0163717i
\(288\) −2804.74 + 5627.17i −0.573856 + 1.15133i
\(289\) −4451.84 −0.906134
\(290\) −2265.88 + 3924.61i −0.458817 + 0.794694i
\(291\) 3043.95 + 716.558i 0.613195 + 0.144348i
\(292\) 3916.63 2261.27i 0.784943 0.453187i
\(293\) −273.105 473.031i −0.0544537 0.0943166i 0.837514 0.546416i \(-0.184008\pi\)
−0.891967 + 0.452100i \(0.850675\pi\)
\(294\) −2027.09 + 6448.94i −0.402117 + 1.27928i
\(295\) 4643.48 8042.75i 0.916455 1.58735i
\(296\) 2174.94i 0.427080i
\(297\) 4736.74 1748.47i 0.925433 0.341604i
\(298\) 1588.45 0.308780
\(299\) 157.060 272.035i 0.0303779 0.0526161i
\(300\) −8676.89 + 2612.03i −1.66987 + 0.502685i
\(301\) −403.971 1764.04i −0.0773572 0.337800i
\(302\) −3124.10 + 1803.70i −0.595271 + 0.343680i
\(303\) −506.368 + 2151.06i −0.0960069 + 0.407839i
\(304\) −6261.52 3615.09i −1.18132 0.682038i
\(305\) 12499.6i 2.34665i
\(306\) −2195.07 + 134.528i −0.410078 + 0.0251321i
\(307\) 6193.21i 1.15135i 0.817677 + 0.575677i \(0.195261\pi\)
−0.817677 + 0.575677i \(0.804739\pi\)
\(308\) −2897.44 3118.18i −0.536028 0.576866i
\(309\) 2701.48 2872.11i 0.497351 0.528765i
\(310\) 2671.49 + 4627.16i 0.489453 + 0.847758i
\(311\) −2335.25 4044.78i −0.425788 0.737486i 0.570706 0.821155i \(-0.306670\pi\)
−0.996494 + 0.0836685i \(0.973336\pi\)
\(312\) −176.563 166.073i −0.0320382 0.0301348i
\(313\) 2218.64 + 1280.93i 0.400655 + 0.231318i 0.686767 0.726878i \(-0.259029\pi\)
−0.286112 + 0.958196i \(0.592363\pi\)
\(314\) 8256.81 1.48394
\(315\) −9570.65 + 2817.80i −1.71189 + 0.504016i
\(316\) 1644.40 0.292736
\(317\) 2351.36 + 1357.56i 0.416611 + 0.240530i 0.693626 0.720335i \(-0.256012\pi\)
−0.277015 + 0.960865i \(0.589345\pi\)
\(318\) 3208.77 13630.9i 0.565845 2.40372i
\(319\) −1077.59 1866.44i −0.189133 0.327589i
\(320\) 2880.96 + 4989.97i 0.503283 + 0.871712i
\(321\) −1297.79 4311.13i −0.225656 0.749607i
\(322\) −2121.08 + 1970.93i −0.367091 + 0.341104i
\(323\) 2089.53i 0.359953i
\(324\) 4620.65 568.500i 0.792292 0.0974794i
\(325\) 2081.04i 0.355186i
\(326\) 1255.86 + 725.070i 0.213361 + 0.123184i
\(327\) −472.286 + 142.174i −0.0798700 + 0.0240435i
\(328\) 77.4810 44.7337i 0.0130432 0.00753050i
\(329\) 1942.21 + 8481.16i 0.325463 + 1.42122i
\(330\) 3242.72 13775.2i 0.540927 2.29787i
\(331\) −2272.97 + 3936.89i −0.377443 + 0.653750i −0.990689 0.136142i \(-0.956530\pi\)
0.613247 + 0.789891i \(0.289863\pi\)
\(332\) −2561.90 −0.423501
\(333\) 7999.11 5295.91i 1.31636 0.871514i
\(334\) 933.756i 0.152973i
\(335\) 5233.90 9065.38i 0.853607 1.47849i
\(336\) 3537.73 + 6214.38i 0.574401 + 1.00899i
\(337\) 3627.36 + 6282.78i 0.586336 + 1.01556i 0.994707 + 0.102747i \(0.0327634\pi\)
−0.408372 + 0.912816i \(0.633903\pi\)
\(338\) 7025.83 4056.37i 1.13064 0.652773i
\(339\) −5889.43 + 6261.42i −0.943569 + 1.00317i
\(340\) −1368.10 + 2369.61i −0.218222 + 0.377971i
\(341\) −2540.98 −0.403525
\(342\) 609.547 + 9945.91i 0.0963759 + 1.57255i
\(343\) 3971.43 + 4957.96i 0.625181 + 0.780480i
\(344\) −518.003 299.069i −0.0811885 0.0468742i
\(345\) −4159.55 979.175i −0.649110 0.152803i
\(346\) 13065.6 7543.41i 2.03009 1.17207i
\(347\) −7611.25 + 4394.36i −1.17750 + 0.679832i −0.955436 0.295200i \(-0.904614\pi\)
−0.222067 + 0.975031i \(0.571280\pi\)
\(348\) −572.808 1902.81i −0.0882349 0.293107i
\(349\) −6314.40 3645.62i −0.968487 0.559156i −0.0697122 0.997567i \(-0.522208\pi\)
−0.898775 + 0.438411i \(0.855541\pi\)
\(350\) −5640.84 + 18334.1i −0.861474 + 2.80000i
\(351\) −180.868 + 1053.76i −0.0275044 + 0.160244i
\(352\) −8380.70 −1.26901
\(353\) −5012.28 + 8681.52i −0.755741 + 1.30898i 0.189264 + 0.981926i \(0.439390\pi\)
−0.945005 + 0.327056i \(0.893943\pi\)
\(354\) 2644.37 + 8784.34i 0.397025 + 1.31888i
\(355\) 1999.65 1154.50i 0.298959 0.172604i
\(356\) 3122.29 + 5407.96i 0.464834 + 0.805116i
\(357\) −1044.15 + 1783.42i −0.154796 + 0.264393i
\(358\) 2759.09 4778.89i 0.407326 0.705509i
\(359\) 11205.2i 1.64732i −0.567083 0.823660i \(-0.691928\pi\)
0.567083 0.823660i \(-0.308072\pi\)
\(360\) −1470.98 + 2951.23i −0.215354 + 0.432066i
\(361\) −2608.72 −0.380336
\(362\) −1395.59 + 2417.24i −0.202626 + 0.350959i
\(363\) −135.417 127.372i −0.0195800 0.0184168i
\(364\) 878.590 201.200i 0.126513 0.0289718i
\(365\) 12236.5 7064.73i 1.75476 1.01311i
\(366\) 8993.88 + 8459.55i 1.28447 + 1.20816i
\(367\) −2597.53 1499.68i −0.369455 0.213305i 0.303766 0.952747i \(-0.401756\pi\)
−0.673220 + 0.739442i \(0.735089\pi\)
\(368\) 3062.81i 0.433859i
\(369\) −353.188 176.039i −0.0498272 0.0248353i
\(370\) 26888.1i 3.77797i
\(371\) −8957.50 9639.92i −1.25350 1.34900i
\(372\) −2280.54 536.848i −0.317851 0.0748233i
\(373\) −2052.54 3555.11i −0.284924 0.493503i 0.687667 0.726026i \(-0.258635\pi\)
−0.972591 + 0.232524i \(0.925302\pi\)
\(374\) −1465.68 2538.64i −0.202644 0.350989i
\(375\) −14699.7 + 4425.08i −2.02423 + 0.609360i
\(376\) 2490.45 + 1437.86i 0.341583 + 0.197213i
\(377\) 456.365 0.0623449
\(378\) 4449.76 8793.42i 0.605479 1.19652i
\(379\) −2051.20 −0.278002 −0.139001 0.990292i \(-0.544389\pi\)
−0.139001 + 0.990292i \(0.544389\pi\)
\(380\) 10736.8 + 6198.87i 1.44943 + 0.836830i
\(381\) −1396.15 + 420.288i −0.187735 + 0.0565144i
\(382\) −5234.28 9066.04i −0.701071 1.21429i
\(383\) 2786.12 + 4825.70i 0.371708 + 0.643817i 0.989828 0.142266i \(-0.0454389\pi\)
−0.618120 + 0.786083i \(0.712106\pi\)
\(384\) 3882.32 + 913.914i 0.515935 + 0.121453i
\(385\) −9052.28 9741.93i −1.19830 1.28960i
\(386\) 4676.21i 0.616614i
\(387\) 161.389 + 2633.37i 0.0211986 + 0.345895i
\(388\) 3843.31i 0.502873i
\(389\) 1483.30 + 856.385i 0.193333 + 0.111621i 0.593542 0.804803i \(-0.297729\pi\)
−0.400209 + 0.916424i \(0.631063\pi\)
\(390\) 2182.80 + 2053.12i 0.283411 + 0.266574i
\(391\) −766.569 + 442.579i −0.0991485 + 0.0572434i
\(392\) 2093.94 + 153.880i 0.269796 + 0.0198269i
\(393\) −8294.04 7801.29i −1.06458 1.00133i
\(394\) 942.667 1632.75i 0.120535 0.208773i
\(395\) 5137.48 0.654417
\(396\) 3425.66 + 5174.22i 0.434712 + 0.656602i
\(397\) 5977.49i 0.755672i −0.925872 0.377836i \(-0.876668\pi\)
0.925872 0.377836i \(-0.123332\pi\)
\(398\) −8538.84 + 14789.7i −1.07541 + 1.86267i
\(399\) 8080.70 + 4731.06i 1.01389 + 0.593607i
\(400\) 10145.6 + 17572.7i 1.26820 + 2.19658i
\(401\) 2620.36 1512.86i 0.326320 0.188401i −0.327886 0.944717i \(-0.606336\pi\)
0.654206 + 0.756316i \(0.273003\pi\)
\(402\) 2980.60 + 9901.25i 0.369798 + 1.22843i
\(403\) 269.030 465.973i 0.0332539 0.0575974i
\(404\) −2715.94 −0.334463
\(405\) 14436.0 1776.13i 1.77119 0.217917i
\(406\) −4020.61 1237.02i −0.491476 0.151212i
\(407\) 11074.1 + 6393.65i 1.34871 + 0.778676i
\(408\) 196.891 + 654.050i 0.0238910 + 0.0793635i
\(409\) −9538.96 + 5507.32i −1.15323 + 0.665818i −0.949672 0.313245i \(-0.898584\pi\)
−0.203558 + 0.979063i \(0.565250\pi\)
\(410\) −957.877 + 553.030i −0.115381 + 0.0666152i
\(411\) 5754.59 + 1354.65i 0.690640 + 0.162579i
\(412\) 4196.72 + 2422.98i 0.501838 + 0.289736i
\(413\) 8239.47 + 2535.03i 0.981690 + 0.302035i
\(414\) 3519.67 2330.24i 0.417831 0.276630i
\(415\) −8003.98 −0.946746
\(416\) 887.316 1536.88i 0.104578 0.181134i
\(417\) 7573.32 8051.67i 0.889370 0.945544i
\(418\) −11502.6 + 6641.05i −1.34596 + 0.777092i
\(419\) −5849.85 10132.2i −0.682062 1.18137i −0.974351 0.225036i \(-0.927750\pi\)
0.292289 0.956330i \(-0.405583\pi\)
\(420\) −6066.22 10655.9i −0.704765 1.23799i
\(421\) 3481.75 6030.57i 0.403064 0.698128i −0.591030 0.806650i \(-0.701278\pi\)
0.994094 + 0.108522i \(0.0346117\pi\)
\(422\) 13008.3i 1.50056i
\(423\) −775.925 12660.7i −0.0891886 1.45528i
\(424\) −4349.33 −0.498166
\(425\) −2932.09 + 5078.53i −0.334652 + 0.579635i
\(426\) −522.633 + 2220.15i −0.0594405 + 0.252504i
\(427\) 11310.0 2590.03i 1.28180 0.293537i
\(428\) 4791.98 2766.65i 0.541189 0.312456i
\(429\) −1364.64 + 410.801i −0.153579 + 0.0462323i
\(430\) 6403.93 + 3697.31i 0.718197 + 0.414651i
\(431\) 12686.3i 1.41781i 0.705305 + 0.708904i \(0.250810\pi\)
−0.705305 + 0.708904i \(0.749190\pi\)
\(432\) −3610.04 9779.88i −0.402056 1.08920i
\(433\) 12891.4i 1.43077i 0.698730 + 0.715385i \(0.253749\pi\)
−0.698730 + 0.715385i \(0.746251\pi\)
\(434\) −3633.23 + 3376.02i −0.401844 + 0.373397i
\(435\) −1789.59 5944.83i −0.197251 0.655248i
\(436\) −303.088 524.963i −0.0332919 0.0576632i
\(437\) 2005.34 + 3473.34i 0.219515 + 0.380212i
\(438\) −3198.15 + 13585.8i −0.348890 + 1.48209i
\(439\) −10467.6 6043.45i −1.13802 0.657035i −0.192078 0.981380i \(-0.561523\pi\)
−0.945939 + 0.324345i \(0.894856\pi\)
\(440\) −4395.36 −0.476228
\(441\) −4532.74 8075.91i −0.489444 0.872035i
\(442\) 620.724 0.0667983
\(443\) −8703.97 5025.24i −0.933495 0.538953i −0.0455796 0.998961i \(-0.514513\pi\)
−0.887915 + 0.460007i \(0.847847\pi\)
\(444\) 8588.24 + 8078.01i 0.917973 + 0.863436i
\(445\) 9754.77 + 16895.8i 1.03915 + 1.79986i
\(446\) −4698.20 8137.53i −0.498803 0.863953i
\(447\) −1490.95 + 1585.12i −0.157761 + 0.167726i
\(448\) −3918.10 + 3640.73i −0.413199 + 0.383947i
\(449\) 10044.6i 1.05575i 0.849321 + 0.527877i \(0.177012\pi\)
−0.849321 + 0.527877i \(0.822988\pi\)
\(450\) 12474.9 25028.5i 1.30683 2.62190i
\(451\) 526.014i 0.0549202i
\(452\) −9149.17 5282.27i −0.952081 0.549684i
\(453\) 1132.42 4810.53i 0.117452 0.498937i
\(454\) 552.004 318.700i 0.0570635 0.0329456i
\(455\) 2744.92 628.596i 0.282822 0.0647671i
\(456\) 2963.52 892.117i 0.304341 0.0916166i
\(457\) 7705.51 13346.3i 0.788727 1.36612i −0.138020 0.990430i \(-0.544074\pi\)
0.926747 0.375686i \(-0.122593\pi\)
\(458\) −4333.49 −0.442119
\(459\) 1926.08 2316.73i 0.195864 0.235590i
\(460\) 5251.88i 0.532326i
\(461\) −2887.34 + 5001.02i −0.291707 + 0.505251i −0.974214 0.225628i \(-0.927557\pi\)
0.682506 + 0.730880i \(0.260890\pi\)
\(462\) 13136.1 + 79.7817i 1.32282 + 0.00803416i
\(463\) −4764.84 8252.94i −0.478274 0.828395i 0.521416 0.853303i \(-0.325404\pi\)
−0.999690 + 0.0249078i \(0.992071\pi\)
\(464\) −3853.62 + 2224.89i −0.385560 + 0.222603i
\(465\) −7124.95 1677.24i −0.710563 0.167269i
\(466\) −4137.12 + 7165.70i −0.411263 + 0.712328i
\(467\) −8268.97 −0.819363 −0.409681 0.912229i \(-0.634360\pi\)
−0.409681 + 0.912229i \(0.634360\pi\)
\(468\) −1311.56 + 80.3806i −0.129545 + 0.00793930i
\(469\) 9287.11 + 2857.35i 0.914368 + 0.281323i
\(470\) −30788.8 17775.9i −3.02166 1.74456i
\(471\) −7749.97 + 8239.48i −0.758174 + 0.806062i
\(472\) 2467.53 1424.63i 0.240630 0.138928i
\(473\) −3045.54 + 1758.34i −0.296055 + 0.170928i
\(474\) −3476.97 + 3696.58i −0.336925 + 0.358206i
\(475\) 23010.9 + 13285.4i 2.22277 + 1.28332i
\(476\) −2427.57 746.888i −0.233755 0.0719192i
\(477\) 10590.5 + 15996.2i 1.01657 + 1.53547i
\(478\) 7244.60 0.693222
\(479\) 7295.72 12636.6i 0.695929 1.20538i −0.273938 0.961747i \(-0.588326\pi\)
0.969867 0.243637i \(-0.0783404\pi\)
\(480\) −23499.6 5531.89i −2.23459 0.526032i
\(481\) −2344.97 + 1353.87i −0.222290 + 0.128339i
\(482\) −4298.41 7445.06i −0.406197 0.703554i
\(483\) 24.0909 3966.57i 0.00226951 0.373675i
\(484\) 114.241 197.871i 0.0107288 0.0185829i
\(485\) 12007.4i 1.12418i
\(486\) −8492.08 + 11589.2i −0.792610 + 1.08168i
\(487\) −14380.5 −1.33807 −0.669036 0.743230i \(-0.733293\pi\)
−0.669036 + 0.743230i \(0.733293\pi\)
\(488\) 1917.45 3321.13i 0.177867 0.308075i
\(489\) −1902.32 + 572.661i −0.175922 + 0.0529583i
\(490\) −25886.8 1902.38i −2.38663 0.175389i
\(491\) −512.614 + 295.958i −0.0471160 + 0.0272024i −0.523373 0.852104i \(-0.675327\pi\)
0.476257 + 0.879306i \(0.341993\pi\)
\(492\) 111.134 472.099i 0.0101835 0.0432599i
\(493\) −1113.70 642.997i −0.101742 0.0587406i
\(494\) 2812.52i 0.256156i
\(495\) 10702.6 + 16165.5i 0.971808 + 1.46785i
\(496\) 5246.33i 0.474934i
\(497\) 1458.96 + 1570.12i 0.131677 + 0.141709i
\(498\) 5416.96 5759.11i 0.487429 0.518217i
\(499\) 2075.90 + 3595.56i 0.186232 + 0.322564i 0.943991 0.329971i \(-0.107039\pi\)
−0.757759 + 0.652535i \(0.773706\pi\)
\(500\) −9433.44 16339.2i −0.843752 1.46142i
\(501\) 931.796 + 876.438i 0.0830930 + 0.0781564i
\(502\) −1037.14 598.791i −0.0922105 0.0532378i
\(503\) −13272.2 −1.17650 −0.588248 0.808681i \(-0.700182\pi\)
−0.588248 + 0.808681i \(0.700182\pi\)
\(504\) −2975.16 719.461i −0.262944 0.0635860i
\(505\) −8485.25 −0.747701
\(506\) 4872.69 + 2813.25i 0.428098 + 0.247163i
\(507\) −2546.71 + 10818.5i −0.223083 + 0.947662i
\(508\) −895.974 1551.87i −0.0782528 0.135538i
\(509\) 7547.02 + 13071.8i 0.657202 + 1.13831i 0.981337 + 0.192296i \(0.0615935\pi\)
−0.324135 + 0.946011i \(0.605073\pi\)
\(510\) −2434.11 8085.85i −0.211341 0.702054i
\(511\) 8927.86 + 9608.03i 0.772887 + 0.831769i
\(512\) 13664.7i 1.17949i
\(513\) −10497.2 8727.12i −0.903433 0.751095i
\(514\) 15534.8i 1.33310i
\(515\) 13111.5 + 7569.95i 1.12187 + 0.647713i
\(516\) −3104.88 + 934.671i −0.264893 + 0.0797414i
\(517\) 14642.3 8453.75i 1.24559 0.719140i
\(518\) 24329.1 5571.44i 2.06363 0.472577i
\(519\) −4735.98 + 20118.5i −0.400552 + 1.70155i
\(520\) 465.364 806.033i 0.0392453 0.0679748i
\(521\) −5002.27 −0.420640 −0.210320 0.977633i \(-0.567451\pi\)
−0.210320 + 0.977633i \(0.567451\pi\)
\(522\) 5488.65 + 2735.70i 0.460214 + 0.229384i
\(523\) 909.042i 0.0760031i 0.999278 + 0.0380016i \(0.0120992\pi\)
−0.999278 + 0.0380016i \(0.987901\pi\)
\(524\) 6997.04 12119.2i 0.583334 1.01036i
\(525\) −13001.1 22837.7i −1.08079 1.89851i
\(526\) −9351.05 16196.5i −0.775143 1.34259i
\(527\) −1313.07 + 758.099i −0.108535 + 0.0626628i
\(528\) 9520.47 10121.8i 0.784707 0.834271i
\(529\) −5234.01 + 9065.57i −0.430181 + 0.745095i
\(530\) 53769.6 4.40680
\(531\) −11248.0 5606.29i −0.919246 0.458178i
\(532\) −3384.17 + 10999.4i −0.275794 + 0.896398i
\(533\) 96.4619 + 55.6923i 0.00783908 + 0.00452589i
\(534\) −18758.9 4415.92i −1.52018 0.357856i
\(535\) 14971.3 8643.67i 1.20984 0.698502i
\(536\) 2781.27 1605.77i 0.224128 0.129400i
\(537\) 2179.13 + 7238.84i 0.175114 + 0.581712i
\(538\) −18086.7 10442.4i −1.44939 0.836807i
\(539\) 6939.06 10209.4i 0.554520 0.815860i
\(540\) 6190.22 + 16769.8i 0.493305 + 1.33640i
\(541\) 21816.1 1.73373 0.866865 0.498544i \(-0.166132\pi\)
0.866865 + 0.498544i \(0.166132\pi\)
\(542\) 14455.7 25038.0i 1.14562 1.98427i
\(543\) −1102.24 3661.52i −0.0871116 0.289376i
\(544\) −4330.77 + 2500.37i −0.341324 + 0.197063i
\(545\) −946.918 1640.11i −0.0744248 0.128907i
\(546\) −1405.43 + 2400.48i −0.110159 + 0.188152i
\(547\) 3976.21 6887.00i 0.310805 0.538330i −0.667732 0.744402i \(-0.732735\pi\)
0.978537 + 0.206072i \(0.0660680\pi\)
\(548\) 7265.78i 0.566385i
\(549\) −16883.6 + 1034.73i −1.31252 + 0.0804395i
\(550\) 37275.6 2.88989
\(551\) −2913.43 + 5046.21i −0.225257 + 0.390156i
\(552\) −954.979 898.244i −0.0736352 0.0692605i
\(553\) 1064.53 + 4648.54i 0.0818596 + 0.357461i
\(554\) 11898.3 6869.49i 0.912474 0.526817i
\(555\) 26831.7 + 25237.6i 2.05215 + 1.93023i
\(556\) 11765.1 + 6792.57i 0.897393 + 0.518110i
\(557\) 16793.7i 1.27750i −0.769413 0.638752i \(-0.779451\pi\)
0.769413 0.638752i \(-0.220549\pi\)
\(558\) 6028.88 3991.50i 0.457389 0.302820i
\(559\) 744.667i 0.0563436i
\(560\) −20114.0 + 18690.1i −1.51781 + 1.41036i
\(561\) 3909.03 + 920.200i 0.294188 + 0.0692529i
\(562\) 4136.22 + 7164.14i 0.310455 + 0.537724i
\(563\) 3810.86 + 6600.60i 0.285273 + 0.494107i 0.972675 0.232170i \(-0.0745825\pi\)
−0.687403 + 0.726277i \(0.741249\pi\)
\(564\) 14927.6 4493.70i 1.11448 0.335495i
\(565\) −28584.2 16503.1i −2.12840 1.22883i
\(566\) −8696.32 −0.645819
\(567\) 4598.35 + 12694.1i 0.340586 + 0.940213i
\(568\) 708.403 0.0523309
\(569\) −2201.40 1270.98i −0.162193 0.0936420i 0.416707 0.909041i \(-0.363184\pi\)
−0.578899 + 0.815399i \(0.696518\pi\)
\(570\) −36637.2 + 11029.0i −2.69221 + 0.810445i
\(571\) −2123.22 3677.53i −0.155611 0.269527i 0.777670 0.628673i \(-0.216401\pi\)
−0.933281 + 0.359146i \(0.883068\pi\)
\(572\) −875.751 1516.84i −0.0640157 0.110878i
\(573\) 13960.0 + 3286.24i 1.01778 + 0.239589i
\(574\) −698.877 752.121i −0.0508198 0.0546915i
\(575\) 11255.8i 0.816345i
\(576\) 6501.60 4304.46i 0.470312 0.311376i
\(577\) 26192.0i 1.88975i −0.327426 0.944877i \(-0.606181\pi\)
0.327426 0.944877i \(-0.393819\pi\)
\(578\) 14623.2 + 8442.70i 1.05233 + 0.607561i
\(579\) −4666.40 4389.17i −0.334938 0.315039i
\(580\) 6607.89 3815.07i 0.473065 0.273124i
\(581\) −1658.49 7242.22i −0.118426 0.517139i
\(582\) −8639.72 8126.43i −0.615340 0.578783i
\(583\) −12785.7 + 22145.5i −0.908285 + 1.57320i
\(584\) 4334.94 0.307160
\(585\) −4097.63 + 251.128i −0.289600 + 0.0177485i
\(586\) 2071.72i 0.146044i
\(587\) −1377.78 + 2386.39i −0.0968777 + 0.167797i −0.910391 0.413750i \(-0.864219\pi\)
0.813513 + 0.581547i \(0.197552\pi\)
\(588\) 8384.82 7696.88i 0.588068 0.539820i
\(589\) 3434.97 + 5949.53i 0.240298 + 0.416208i
\(590\) −30505.4 + 17612.3i −2.12862 + 1.22896i
\(591\) 744.518 + 2473.21i 0.0518196 + 0.172139i
\(592\) 13200.9 22864.6i 0.916474 1.58738i
\(593\) 14044.3 0.972567 0.486284 0.873801i \(-0.338352\pi\)
0.486284 + 0.873801i \(0.338352\pi\)
\(594\) −18874.9 3239.71i −1.30378 0.223783i
\(595\) −7584.31 2333.46i −0.522565 0.160777i
\(596\) −2316.17 1337.24i −0.159185 0.0919053i
\(597\) −6743.98 22402.8i −0.462333 1.53582i
\(598\) −1031.80 + 595.713i −0.0705579 + 0.0407366i
\(599\) −10357.8 + 5980.08i −0.706524 + 0.407912i −0.809773 0.586744i \(-0.800410\pi\)
0.103248 + 0.994656i \(0.467076\pi\)
\(600\) −8454.56 1990.24i −0.575260 0.135418i
\(601\) 21071.9 + 12165.9i 1.43019 + 0.825718i 0.997134 0.0756510i \(-0.0241035\pi\)
0.433051 + 0.901369i \(0.357437\pi\)
\(602\) −2018.48 + 6560.56i −0.136656 + 0.444167i
\(603\) −12678.1 6319.13i −0.856207 0.426757i
\(604\) 6073.80 0.409171
\(605\) 356.915 618.196i 0.0239846 0.0415425i
\(606\) 5742.68 6105.40i 0.384951 0.409266i
\(607\) 8989.19 5189.91i 0.601087 0.347038i −0.168382 0.985722i \(-0.553854\pi\)
0.769469 + 0.638684i \(0.220521\pi\)
\(608\) 11329.2 + 19622.8i 0.755693 + 1.30890i
\(609\) 5008.23 2851.09i 0.333241 0.189707i
\(610\) −23705.0 + 41058.2i −1.57342 + 2.72524i
\(611\) 3580.20i 0.237053i
\(612\) 3313.95 + 1651.77i 0.218886 + 0.109099i
\(613\) −7728.54 −0.509222 −0.254611 0.967044i \(-0.581947\pi\)
−0.254611 + 0.967044i \(0.581947\pi\)
\(614\) 11745.1 20343.2i 0.771979 1.33711i
\(615\) 347.209 1474.95i 0.0227655 0.0967085i
\(616\) −910.753 3977.04i −0.0595703 0.260129i
\(617\) 6665.11 3848.10i 0.434890 0.251084i −0.266538 0.963825i \(-0.585880\pi\)
0.701428 + 0.712741i \(0.252546\pi\)
\(618\) −14320.5 + 4310.94i −0.932127 + 0.280601i
\(619\) 25350.2 + 14635.9i 1.64606 + 0.950352i 0.978617 + 0.205689i \(0.0659436\pi\)
0.667441 + 0.744663i \(0.267390\pi\)
\(620\) 8996.01i 0.582723i
\(621\) −978.266 + 5699.48i −0.0632149 + 0.368297i
\(622\) 17714.8i 1.14196i
\(623\) −13266.5 + 12327.3i −0.853147 + 0.792751i
\(624\) 848.175 + 2817.55i 0.0544138 + 0.180757i
\(625\) −12405.2 21486.4i −0.793931 1.37513i
\(626\) −4858.46 8415.10i −0.310197 0.537276i
\(627\) 4169.45 17711.9i 0.265569 1.12814i
\(628\) −12039.5 6951.01i −0.765014 0.441681i
\(629\) 7630.15 0.483679
\(630\) 36781.0 + 8894.50i 2.32602 + 0.562485i
\(631\) −16177.9 −1.02065 −0.510326 0.859981i \(-0.670475\pi\)
−0.510326 + 0.859981i \(0.670475\pi\)
\(632\) 1365.02 + 788.094i 0.0859138 + 0.0496024i
\(633\) 12981.0 + 12209.8i 0.815087 + 0.766663i
\(634\) −5149.09 8918.49i −0.322550 0.558673i
\(635\) −2799.24 4848.42i −0.174936 0.302998i
\(636\) −16154.0 + 17174.4i −1.00715 + 1.07077i
\(637\) 1137.54 + 2353.43i 0.0707551 + 0.146384i
\(638\) 8174.41i 0.507254i
\(639\) −1724.94 2605.41i −0.106788 0.161296i
\(640\) 15314.5i 0.945875i
\(641\) −23508.3 13572.5i −1.44855 0.836321i −0.450155 0.892951i \(-0.648631\pi\)
−0.998395 + 0.0566298i \(0.981965\pi\)
\(642\) −3912.93 + 16622.2i −0.240547 + 1.02185i
\(643\) −18843.1 + 10879.1i −1.15567 + 0.667229i −0.950263 0.311447i \(-0.899186\pi\)
−0.205411 + 0.978676i \(0.565853\pi\)
\(644\) 4752.04 1088.23i 0.290771 0.0665874i
\(645\) −9700.38 + 2920.13i −0.592174 + 0.178264i
\(646\) −3962.70 + 6863.60i −0.241347 + 0.418026i
\(647\) −24932.0 −1.51496 −0.757478 0.652860i \(-0.773569\pi\)
−0.757478 + 0.652860i \(0.773569\pi\)
\(648\) 4108.08 + 1742.58i 0.249044 + 0.105641i
\(649\) 16751.9i 1.01320i
\(650\) −3946.60 + 6835.72i −0.238152 + 0.412491i
\(651\) 41.2657 6794.39i 0.00248438 0.409053i
\(652\) −1220.80 2114.50i −0.0733288 0.127009i
\(653\) 838.558 484.142i 0.0502531 0.0290137i −0.474663 0.880168i \(-0.657430\pi\)
0.524916 + 0.851154i \(0.324097\pi\)
\(654\) 1820.97 + 428.663i 0.108877 + 0.0256300i
\(655\) 21860.4 37863.3i 1.30406 2.25869i
\(656\) −1086.05 −0.0646391
\(657\) −10555.5 15943.3i −0.626801 0.946739i
\(658\) 9704.44 31541.8i 0.574952 1.86874i
\(659\) −3413.73 1970.92i −0.201791 0.116504i 0.395700 0.918380i \(-0.370502\pi\)
−0.597491 + 0.801876i \(0.703835\pi\)
\(660\) −16325.0 + 17356.1i −0.962801 + 1.02361i
\(661\) −2506.55 + 1447.16i −0.147494 + 0.0851555i −0.571931 0.820302i \(-0.693805\pi\)
0.424437 + 0.905457i \(0.360472\pi\)
\(662\) 14932.3 8621.15i 0.876675 0.506149i
\(663\) −582.622 + 619.422i −0.0341284 + 0.0362841i
\(664\) −2126.64 1227.82i −0.124292 0.0717598i
\(665\) −10572.9 + 34364.7i −0.616543 + 2.00392i
\(666\) −36318.5 + 2225.83i −2.11308 + 0.129503i
\(667\) 2468.35 0.143291
\(668\) −786.084 + 1361.54i −0.0455307 + 0.0788615i
\(669\) 12530.3 + 2949.67i 0.724137 + 0.170465i
\(670\) −34384.1 + 19851.7i −1.98265 + 1.14468i
\(671\) −11273.5 19526.2i −0.648595 1.12340i
\(672\) 136.103 22409.3i 0.00781292 1.28640i
\(673\) −6948.10 + 12034.5i −0.397964 + 0.689293i −0.993475 0.114054i \(-0.963616\pi\)
0.595511 + 0.803347i \(0.296950\pi\)
\(674\) 27516.5i 1.57255i
\(675\) 13266.8 + 35940.9i 0.756504 + 2.04943i
\(676\) −13659.4 −0.777165
\(677\) −4561.28 + 7900.37i −0.258943 + 0.448502i −0.965959 0.258695i \(-0.916707\pi\)
0.707016 + 0.707197i \(0.250041\pi\)
\(678\) 31219.8 9398.19i 1.76842 0.532353i
\(679\) −10864.7 + 2488.04i −0.614060 + 0.140622i
\(680\) −2271.32 + 1311.35i −0.128090 + 0.0739529i
\(681\) −200.089 + 849.982i −0.0112591 + 0.0478288i
\(682\) 8346.50 + 4818.85i 0.468628 + 0.270562i
\(683\) 5500.02i 0.308129i −0.988061 0.154065i \(-0.950764\pi\)
0.988061 0.154065i \(-0.0492364\pi\)
\(684\) 7484.19 15015.6i 0.418370 0.839379i
\(685\) 22700.0i 1.26617i
\(686\) −3642.63 23817.3i −0.202735 1.32558i
\(687\) 4067.48 4324.39i 0.225886 0.240154i
\(688\) 3630.43 + 6288.08i 0.201175 + 0.348446i
\(689\) −2707.41 4689.36i −0.149701 0.259290i
\(690\) 11806.1 + 11104.7i 0.651380 + 0.612682i
\(691\) −9079.68 5242.16i −0.499866 0.288598i 0.228792 0.973475i \(-0.426522\pi\)
−0.728658 + 0.684877i \(0.759856\pi\)
\(692\) −25401.8 −1.39542
\(693\) −12409.3 + 13033.6i −0.680219 + 0.714438i
\(694\) 33334.8 1.82330
\(695\) 36756.9 + 21221.6i 2.00614 + 1.15825i
\(696\) 436.451 1854.05i 0.0237696 0.100974i
\(697\) −156.935 271.820i −0.00852849 0.0147718i
\(698\) 13827.5 + 23949.9i 0.749825 + 1.29874i
\(699\) −3267.50 10854.3i −0.176807 0.587334i
\(700\) 23659.7 21984.8i 1.27751 1.18707i
\(701\) 15162.7i 0.816955i 0.912768 + 0.408477i \(0.133940\pi\)
−0.912768 + 0.408477i \(0.866060\pi\)
\(702\) 2592.51 3118.33i 0.139385 0.167655i
\(703\) 34572.4i 1.85480i
\(704\) 9000.94 + 5196.69i 0.481869 + 0.278207i
\(705\) 46637.4 14039.4i 2.49144 0.750006i
\(706\) 32928.2 19011.1i 1.75534 1.01345i
\(707\) −1758.21 7677.69i −0.0935282 0.408415i
\(708\) 3539.27 15034.9i 0.187873 0.798087i
\(709\) 1871.41 3241.38i 0.0991289 0.171696i −0.812195 0.583385i \(-0.801728\pi\)
0.911324 + 0.411689i \(0.135061\pi\)
\(710\) −8757.80 −0.462922
\(711\) −425.286 6939.34i −0.0224324 0.366027i
\(712\) 5985.56i 0.315054i
\(713\) 1455.10 2520.31i 0.0764293 0.132379i
\(714\) 6811.93 3877.90i 0.357045 0.203259i
\(715\) −2736.05 4738.98i −0.143109 0.247871i
\(716\) −8046.24 + 4645.50i −0.419975 + 0.242473i
\(717\) −6799.90 + 7229.40i −0.354180 + 0.376551i
\(718\) −21250.1 + 36806.3i −1.10452 + 1.91309i
\(719\) −24366.5 −1.26386 −0.631931 0.775024i \(-0.717738\pi\)
−0.631931 + 0.775024i \(0.717738\pi\)
\(720\) 33376.7 22097.5i 1.72760 1.14378i
\(721\) −4132.68 + 13432.2i −0.213466 + 0.693818i
\(722\) 8569.01 + 4947.32i 0.441697 + 0.255014i
\(723\) 11464.0 + 2698.67i 0.589696 + 0.138817i
\(724\) 4069.91 2349.77i 0.208919 0.120619i
\(725\) 14162.0 8176.42i 0.725466 0.418848i
\(726\) 203.256 + 675.197i 0.0103906 + 0.0345164i
\(727\) −20385.8 11769.7i −1.03998 0.600433i −0.120153 0.992755i \(-0.538339\pi\)
−0.919828 + 0.392322i \(0.871672\pi\)
\(728\) 825.748 + 254.057i 0.0420388 + 0.0129340i
\(729\) −3594.09 19352.1i −0.182599 0.983188i
\(730\) −53591.7 −2.71715
\(731\) −1049.20 + 1817.27i −0.0530862 + 0.0919481i
\(732\) −5992.56 19906.7i −0.302584 1.00515i
\(733\) −11851.1 + 6842.23i −0.597176 + 0.344780i −0.767930 0.640534i \(-0.778713\pi\)
0.170754 + 0.985314i \(0.445380\pi\)
\(734\) 5688.16 + 9852.18i 0.286040 + 0.495437i
\(735\) 26196.2 24046.9i 1.31464 1.20678i
\(736\) 4799.24 8312.53i 0.240356 0.416310i
\(737\) 18881.9i 0.943722i
\(738\) 826.287 + 1248.05i 0.0412141 + 0.0622511i
\(739\) 12978.1 0.646017 0.323009 0.946396i \(-0.395306\pi\)
0.323009 + 0.946396i \(0.395306\pi\)
\(740\) −22635.8 + 39206.4i −1.12447 + 1.94764i
\(741\) 2806.62 + 2639.87i 0.139141 + 0.130875i
\(742\) 11141.5 + 48652.2i 0.551236 + 2.40712i
\(743\) −24571.4 + 14186.3i −1.21324 + 0.700464i −0.963463 0.267840i \(-0.913690\pi\)
−0.249775 + 0.968304i \(0.580357\pi\)
\(744\) −1635.80 1538.61i −0.0806064 0.0758176i
\(745\) −7236.27 4177.86i −0.355861 0.205456i
\(746\) 15570.2i 0.764163i
\(747\) 662.577 + 10811.2i 0.0324530 + 0.529532i
\(748\) 4935.56i 0.241259i
\(749\) 10923.2 + 11755.4i 0.532877 + 0.573474i
\(750\) 56676.7 + 13341.9i 2.75939 + 0.649570i
\(751\) 13262.7 + 22971.6i 0.644423 + 1.11617i 0.984434 + 0.175752i \(0.0562358\pi\)
−0.340011 + 0.940421i \(0.610431\pi\)
\(752\) −17454.3 30231.8i −0.846402 1.46601i
\(753\) 1571.01 472.925i 0.0760302 0.0228876i
\(754\) −1499.05 865.475i −0.0724033 0.0418021i
\(755\) 18976.0 0.914711
\(756\) −13891.1 + 9075.92i −0.668273 + 0.436624i
\(757\) 15064.7 0.723296 0.361648 0.932315i \(-0.382214\pi\)
0.361648 + 0.932315i \(0.382214\pi\)
\(758\) 6737.68 + 3890.00i 0.322854 + 0.186400i
\(759\) −7380.94 + 2221.91i −0.352979 + 0.106258i
\(760\) 5941.75 + 10291.4i 0.283592 + 0.491196i
\(761\) 2369.82 + 4104.66i 0.112886 + 0.195524i 0.916933 0.399042i \(-0.130657\pi\)
−0.804047 + 0.594566i \(0.797324\pi\)
\(762\) 5383.07 + 1267.19i 0.255916 + 0.0602436i
\(763\) 1287.81 1196.64i 0.0611032 0.0567776i
\(764\) 17626.0i 0.834667i
\(765\) 10353.6 + 5160.51i 0.489326 + 0.243894i
\(766\) 21135.0i 0.996917i
\(767\) 3072.01 + 1773.63i 0.144621 + 0.0834967i
\(768\) −19763.8 18589.6i −0.928599 0.873431i
\(769\) 17949.9 10363.4i 0.841730 0.485973i −0.0161222 0.999870i \(-0.505132\pi\)
0.857852 + 0.513897i \(0.171799\pi\)
\(770\) 11259.4 + 49167.1i 0.526962 + 2.30111i
\(771\) −15502.2 14581.2i −0.724123 0.681103i
\(772\) 3936.68 6818.53i 0.183529 0.317881i
\(773\) 10493.9 0.488279 0.244139