Properties

Label 63.4.o.a.20.14
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 20.14
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.628557 + 0.362898i) q^{2} +(2.99138 - 4.24872i) q^{3} +(-3.73661 - 6.47200i) q^{4} +(5.53318 + 9.58374i) q^{5} +(3.42210 - 1.58500i) q^{6} +(4.49570 - 17.9663i) q^{7} -11.2304i q^{8} +(-9.10332 - 25.4191i) q^{9} +O(q^{10})\) \(q+(0.628557 + 0.362898i) q^{2} +(2.99138 - 4.24872i) q^{3} +(-3.73661 - 6.47200i) q^{4} +(5.53318 + 9.58374i) q^{5} +(3.42210 - 1.58500i) q^{6} +(4.49570 - 17.9663i) q^{7} -11.2304i q^{8} +(-9.10332 - 25.4191i) q^{9} +8.03191i q^{10} +(0.219645 + 0.126812i) q^{11} +(-38.6754 - 3.48437i) q^{12} +(12.3956 - 7.15663i) q^{13} +(9.34574 - 9.66138i) q^{14} +(57.2705 + 5.15965i) q^{15} +(-25.8174 + 44.7170i) q^{16} +92.5854 q^{17} +(3.50257 - 19.2809i) q^{18} +130.104i q^{19} +(41.3506 - 71.6214i) q^{20} +(-62.8856 - 72.8450i) q^{21} +(0.0920395 + 0.159417i) q^{22} +(-102.797 + 59.3500i) q^{23} +(-47.7148 - 33.5944i) q^{24} +(1.26793 - 2.19612i) q^{25} +10.3885 q^{26} +(-135.230 - 37.3606i) q^{27} +(-133.077 + 38.0370i) q^{28} +(248.320 + 143.368i) q^{29} +(34.1254 + 24.0265i) q^{30} +(-214.225 + 123.683i) q^{31} +(-110.262 + 63.6597i) q^{32} +(1.19583 - 0.553867i) q^{33} +(58.1952 + 33.5990i) q^{34} +(197.060 - 56.3252i) q^{35} +(-130.497 + 153.898i) q^{36} +188.615 q^{37} +(-47.2144 + 81.7777i) q^{38} +(6.67351 - 74.0738i) q^{39} +(107.629 - 62.1397i) q^{40} +(-53.2437 - 92.2207i) q^{41} +(-13.0919 - 68.6083i) q^{42} +(-21.5586 + 37.3406i) q^{43} -1.89539i q^{44} +(193.240 - 227.892i) q^{45} -86.1520 q^{46} +(68.8818 - 119.307i) q^{47} +(112.761 + 243.457i) q^{48} +(-302.577 - 161.542i) q^{49} +(1.59393 - 0.920258i) q^{50} +(276.958 - 393.370i) q^{51} +(-92.6354 - 53.4830i) q^{52} -419.280i q^{53} +(-71.4418 - 72.5580i) q^{54} +2.80669i q^{55} +(-201.769 - 50.4884i) q^{56} +(552.775 + 389.190i) q^{57} +(104.056 + 180.230i) q^{58} +(217.560 + 376.825i) q^{59} +(-180.604 - 389.934i) q^{60} +(163.504 + 94.3989i) q^{61} -179.537 q^{62} +(-497.613 + 49.2767i) q^{63} +320.670 q^{64} +(137.175 + 79.1977i) q^{65} +(0.952645 + 0.0858263i) q^{66} +(-185.350 - 321.035i) q^{67} +(-345.956 - 599.213i) q^{68} +(-55.3435 + 614.296i) q^{69} +(144.304 + 36.1090i) q^{70} -26.1630i q^{71} +(-285.466 + 102.234i) q^{72} -728.545i q^{73} +(118.555 + 68.4480i) q^{74} +(-5.53785 - 11.9565i) q^{75} +(842.032 - 486.147i) q^{76} +(3.26580 - 3.37610i) q^{77} +(31.0759 - 44.1378i) q^{78} +(-48.6779 + 84.3125i) q^{79} -571.409 q^{80} +(-563.259 + 462.796i) q^{81} -77.2880i q^{82} +(-401.359 + 695.174i) q^{83} +(-236.474 + 679.189i) q^{84} +(512.291 + 887.315i) q^{85} +(-27.1017 + 15.6471i) q^{86} +(1351.95 - 626.177i) q^{87} +(1.42415 - 2.46670i) q^{88} -236.618 q^{89} +(204.164 - 73.1170i) q^{90} +(-72.8512 - 254.878i) q^{91} +(768.227 + 443.536i) q^{92} +(-115.333 + 1280.16i) q^{93} +(86.5924 - 49.9941i) q^{94} +(-1246.88 + 719.887i) q^{95} +(-59.3623 + 658.903i) q^{96} +(-1268.09 - 732.133i) q^{97} +(-131.564 - 211.343i) q^{98} +(1.22395 - 6.73758i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.628557 + 0.362898i 0.222229 + 0.128304i 0.606982 0.794716i \(-0.292380\pi\)
−0.384753 + 0.923019i \(0.625713\pi\)
\(3\) 2.99138 4.24872i 0.575691 0.817667i
\(4\) −3.73661 6.47200i −0.467076 0.809000i
\(5\) 5.53318 + 9.58374i 0.494902 + 0.857196i 0.999983 0.00587635i \(-0.00187051\pi\)
−0.505080 + 0.863072i \(0.668537\pi\)
\(6\) 3.42210 1.58500i 0.232845 0.107846i
\(7\) 4.49570 17.9663i 0.242745 0.970090i
\(8\) 11.2304i 0.496318i
\(9\) −9.10332 25.4191i −0.337160 0.941447i
\(10\) 8.03191i 0.253991i
\(11\) 0.219645 + 0.126812i 0.00602049 + 0.00347593i 0.503007 0.864282i \(-0.332227\pi\)
−0.496987 + 0.867758i \(0.665560\pi\)
\(12\) −38.6754 3.48437i −0.930384 0.0838208i
\(13\) 12.3956 7.15663i 0.264456 0.152684i −0.361909 0.932213i \(-0.617875\pi\)
0.626366 + 0.779529i \(0.284542\pi\)
\(14\) 9.34574 9.66138i 0.178411 0.184437i
\(15\) 57.2705 + 5.15965i 0.985812 + 0.0888145i
\(16\) −25.8174 + 44.7170i −0.403397 + 0.698704i
\(17\) 92.5854 1.32090 0.660449 0.750871i \(-0.270366\pi\)
0.660449 + 0.750871i \(0.270366\pi\)
\(18\) 3.50257 19.2809i 0.0458646 0.252475i
\(19\) 130.104i 1.57094i 0.618899 + 0.785470i \(0.287579\pi\)
−0.618899 + 0.785470i \(0.712421\pi\)
\(20\) 41.3506 71.6214i 0.462314 0.800752i
\(21\) −62.8856 72.8450i −0.653465 0.756957i
\(22\) 0.0920395 + 0.159417i 0.000891950 + 0.00154490i
\(23\) −102.797 + 59.3500i −0.931944 + 0.538058i −0.887426 0.460951i \(-0.847509\pi\)
−0.0445181 + 0.999009i \(0.514175\pi\)
\(24\) −47.7148 33.5944i −0.405823 0.285726i
\(25\) 1.26793 2.19612i 0.0101434 0.0175689i
\(26\) 10.3885 0.0783597
\(27\) −135.230 37.3606i −0.963891 0.266298i
\(28\) −133.077 + 38.0370i −0.898183 + 0.256726i
\(29\) 248.320 + 143.368i 1.59007 + 0.918025i 0.993294 + 0.115615i \(0.0368837\pi\)
0.596772 + 0.802411i \(0.296450\pi\)
\(30\) 34.1254 + 24.0265i 0.207680 + 0.146220i
\(31\) −214.225 + 123.683i −1.24116 + 0.716582i −0.969330 0.245764i \(-0.920961\pi\)
−0.271827 + 0.962346i \(0.587628\pi\)
\(32\) −110.262 + 63.6597i −0.609117 + 0.351674i
\(33\) 1.19583 0.553867i 0.00630810 0.00292170i
\(34\) 58.1952 + 33.5990i 0.293541 + 0.169476i
\(35\) 197.060 56.3252i 0.951692 0.272020i
\(36\) −130.497 + 153.898i −0.604151 + 0.712490i
\(37\) 188.615 0.838058 0.419029 0.907973i \(-0.362371\pi\)
0.419029 + 0.907973i \(0.362371\pi\)
\(38\) −47.2144 + 81.7777i −0.201558 + 0.349108i
\(39\) 6.67351 74.0738i 0.0274004 0.304136i
\(40\) 107.629 62.1397i 0.425442 0.245629i
\(41\) −53.2437 92.2207i −0.202811 0.351279i 0.746622 0.665249i \(-0.231674\pi\)
−0.949433 + 0.313969i \(0.898341\pi\)
\(42\) −13.0919 68.6083i −0.0480983 0.252059i
\(43\) −21.5586 + 37.3406i −0.0764572 + 0.132428i −0.901719 0.432323i \(-0.857694\pi\)
0.825262 + 0.564750i \(0.191028\pi\)
\(44\) 1.89539i 0.00649410i
\(45\) 193.240 227.892i 0.640144 0.754937i
\(46\) −86.1520 −0.276139
\(47\) 68.8818 119.307i 0.213776 0.370270i −0.739118 0.673576i \(-0.764757\pi\)
0.952893 + 0.303306i \(0.0980906\pi\)
\(48\) 112.761 + 243.457i 0.339075 + 0.732082i
\(49\) −302.577 161.542i −0.882150 0.470969i
\(50\) 1.59393 0.920258i 0.00450832 0.00260288i
\(51\) 276.958 393.370i 0.760429 1.08006i
\(52\) −92.6354 53.4830i −0.247043 0.142630i
\(53\) 419.280i 1.08665i −0.839522 0.543325i \(-0.817165\pi\)
0.839522 0.543325i \(-0.182835\pi\)
\(54\) −71.4418 72.5580i −0.180037 0.182850i
\(55\) 2.80669i 0.00688098i
\(56\) −201.769 50.4884i −0.481473 0.120479i
\(57\) 552.775 + 389.190i 1.28451 + 0.904376i
\(58\) 104.056 + 180.230i 0.235572 + 0.408023i
\(59\) 217.560 + 376.825i 0.480066 + 0.831498i 0.999739 0.0228670i \(-0.00727943\pi\)
−0.519673 + 0.854365i \(0.673946\pi\)
\(60\) −180.604 389.934i −0.388599 0.839005i
\(61\) 163.504 + 94.3989i 0.343189 + 0.198140i 0.661681 0.749785i \(-0.269843\pi\)
−0.318493 + 0.947925i \(0.603177\pi\)
\(62\) −179.537 −0.367761
\(63\) −497.613 + 49.2767i −0.995133 + 0.0985440i
\(64\) 320.670 0.626310
\(65\) 137.175 + 79.1977i 0.261760 + 0.151127i
\(66\) 0.952645 + 0.0858263i 0.00177670 + 0.000160068i
\(67\) −185.350 321.035i −0.337971 0.585383i 0.646080 0.763270i \(-0.276407\pi\)
−0.984051 + 0.177887i \(0.943074\pi\)
\(68\) −345.956 599.213i −0.616960 1.06861i
\(69\) −55.3435 + 614.296i −0.0965591 + 1.07178i
\(70\) 144.304 + 36.1090i 0.246394 + 0.0616551i
\(71\) 26.1630i 0.0437321i −0.999761 0.0218661i \(-0.993039\pi\)
0.999761 0.0218661i \(-0.00696074\pi\)
\(72\) −285.466 + 102.234i −0.467257 + 0.167339i
\(73\) 728.545i 1.16808i −0.811725 0.584039i \(-0.801471\pi\)
0.811725 0.584039i \(-0.198529\pi\)
\(74\) 118.555 + 68.4480i 0.186240 + 0.107526i
\(75\) −5.53785 11.9565i −0.00852607 0.0184082i
\(76\) 842.032 486.147i 1.27089 0.733749i
\(77\) 3.26580 3.37610i 0.00483341 0.00499665i
\(78\) 31.0759 44.1378i 0.0451109 0.0640721i
\(79\) −48.6779 + 84.3125i −0.0693251 + 0.120075i −0.898604 0.438760i \(-0.855418\pi\)
0.829279 + 0.558834i \(0.188751\pi\)
\(80\) −571.409 −0.798568
\(81\) −563.259 + 462.796i −0.772646 + 0.634837i
\(82\) 77.2880i 0.104086i
\(83\) −401.359 + 695.174i −0.530781 + 0.919340i 0.468573 + 0.883425i \(0.344768\pi\)
−0.999355 + 0.0359157i \(0.988565\pi\)
\(84\) −236.474 + 679.189i −0.307160 + 0.882210i
\(85\) 512.291 + 887.315i 0.653715 + 1.13227i
\(86\) −27.1017 + 15.6471i −0.0339819 + 0.0196195i
\(87\) 1351.95 626.177i 1.66603 0.771647i
\(88\) 1.42415 2.46670i 0.00172517 0.00298808i
\(89\) −236.618 −0.281814 −0.140907 0.990023i \(-0.545002\pi\)
−0.140907 + 0.990023i \(0.545002\pi\)
\(90\) 204.164 73.1170i 0.239119 0.0856357i
\(91\) −72.8512 254.878i −0.0839218 0.293610i
\(92\) 768.227 + 443.536i 0.870578 + 0.502628i
\(93\) −115.333 + 1280.16i −0.128597 + 1.42738i
\(94\) 86.5924 49.9941i 0.0950141 0.0548564i
\(95\) −1246.88 + 719.887i −1.34660 + 0.777462i
\(96\) −59.3623 + 658.903i −0.0631108 + 0.700510i
\(97\) −1268.09 732.133i −1.32737 0.766360i −0.342481 0.939525i \(-0.611267\pi\)
−0.984893 + 0.173165i \(0.944601\pi\)
\(98\) −131.564 211.343i −0.135612 0.217846i
\(99\) 1.22395 6.73758i 0.00124254 0.00683992i
\(100\) −18.9510 −0.0189510
\(101\) −783.722 + 1357.45i −0.772112 + 1.33734i 0.164292 + 0.986412i \(0.447466\pi\)
−0.936404 + 0.350925i \(0.885867\pi\)
\(102\) 316.837 146.748i 0.307564 0.142453i
\(103\) 86.8588 50.1479i 0.0830918 0.0479730i −0.457878 0.889015i \(-0.651391\pi\)
0.540970 + 0.841042i \(0.318057\pi\)
\(104\) −80.3717 139.208i −0.0757798 0.131254i
\(105\) 350.171 1005.74i 0.325459 0.934767i
\(106\) 152.156 263.541i 0.139421 0.241485i
\(107\) 553.381i 0.499976i −0.968249 0.249988i \(-0.919573\pi\)
0.968249 0.249988i \(-0.0804266\pi\)
\(108\) 263.505 + 1014.81i 0.234775 + 0.904169i
\(109\) −400.600 −0.352023 −0.176012 0.984388i \(-0.556320\pi\)
−0.176012 + 0.984388i \(0.556320\pi\)
\(110\) −1.01854 + 1.76417i −0.000882856 + 0.00152915i
\(111\) 564.219 801.374i 0.482462 0.685253i
\(112\) 687.334 + 664.878i 0.579883 + 0.560938i
\(113\) −617.417 + 356.466i −0.513997 + 0.296756i −0.734475 0.678635i \(-0.762572\pi\)
0.220478 + 0.975392i \(0.429238\pi\)
\(114\) 206.215 + 445.229i 0.169419 + 0.365785i
\(115\) −1137.59 656.788i −0.922442 0.532572i
\(116\) 2142.84i 1.71515i
\(117\) −294.756 249.937i −0.232908 0.197493i
\(118\) 315.808i 0.246377i
\(119\) 416.236 1663.42i 0.320641 1.28139i
\(120\) 57.9449 643.170i 0.0440802 0.489276i
\(121\) −665.468 1152.62i −0.499976 0.865984i
\(122\) 68.5143 + 118.670i 0.0508442 + 0.0880648i
\(123\) −551.092 49.6494i −0.403986 0.0363962i
\(124\) 1600.95 + 924.307i 1.15943 + 0.669397i
\(125\) 1411.36 1.00988
\(126\) −330.661 149.609i −0.233790 0.105780i
\(127\) 102.170 0.0713865 0.0356932 0.999363i \(-0.488636\pi\)
0.0356932 + 0.999363i \(0.488636\pi\)
\(128\) 1083.65 + 625.648i 0.748300 + 0.432031i
\(129\) 94.1600 + 203.297i 0.0642661 + 0.138754i
\(130\) 57.4814 + 99.5606i 0.0387804 + 0.0671696i
\(131\) −236.423 409.496i −0.157682 0.273113i 0.776350 0.630302i \(-0.217069\pi\)
−0.934032 + 0.357188i \(0.883735\pi\)
\(132\) −8.05298 5.66982i −0.00531001 0.00373859i
\(133\) 2337.49 + 584.907i 1.52395 + 0.381338i
\(134\) 269.052i 0.173452i
\(135\) −390.198 1502.73i −0.248762 0.958035i
\(136\) 1039.77i 0.655585i
\(137\) 2268.47 + 1309.70i 1.41466 + 0.816756i 0.995823 0.0913039i \(-0.0291035\pi\)
0.418840 + 0.908060i \(0.362437\pi\)
\(138\) −257.713 + 366.036i −0.158971 + 0.225790i
\(139\) −1075.92 + 621.185i −0.656537 + 0.379052i −0.790956 0.611873i \(-0.790417\pi\)
0.134419 + 0.990925i \(0.457083\pi\)
\(140\) −1100.87 1064.91i −0.664577 0.642865i
\(141\) −300.850 649.552i −0.179689 0.387958i
\(142\) 9.49451 16.4450i 0.00561100 0.00971853i
\(143\) 3.63018 0.00212287
\(144\) 1371.69 + 249.181i 0.793802 + 0.144202i
\(145\) 3173.12i 1.81733i
\(146\) 264.387 457.932i 0.149869 0.259581i
\(147\) −1591.47 + 802.334i −0.892941 + 0.450173i
\(148\) −704.781 1220.72i −0.391437 0.677989i
\(149\) 973.891 562.276i 0.535465 0.309151i −0.207774 0.978177i \(-0.566622\pi\)
0.743239 + 0.669026i \(0.233289\pi\)
\(150\) 0.858135 9.52502i 0.000467109 0.00518476i
\(151\) 237.798 411.879i 0.128157 0.221975i −0.794805 0.606864i \(-0.792427\pi\)
0.922963 + 0.384889i \(0.125760\pi\)
\(152\) 1461.12 0.779686
\(153\) −842.835 2353.44i −0.445354 1.24356i
\(154\) 3.27792 0.936921i 0.00171521 0.000490255i
\(155\) −2370.68 1368.71i −1.22850 0.709276i
\(156\) −504.342 + 233.594i −0.258844 + 0.119888i
\(157\) −1674.30 + 966.660i −0.851108 + 0.491388i −0.861025 0.508563i \(-0.830177\pi\)
0.00991644 + 0.999951i \(0.496843\pi\)
\(158\) −61.1936 + 35.3302i −0.0308121 + 0.0177893i
\(159\) −1781.40 1254.22i −0.888519 0.625575i
\(160\) −1220.20 704.481i −0.602906 0.348088i
\(161\) 604.156 + 2113.71i 0.295740 + 1.03468i
\(162\) −521.988 + 86.4882i −0.253156 + 0.0419454i
\(163\) −743.323 −0.357187 −0.178594 0.983923i \(-0.557155\pi\)
−0.178594 + 0.983923i \(0.557155\pi\)
\(164\) −397.902 + 689.186i −0.189457 + 0.328149i
\(165\) 11.9249 + 8.39587i 0.00562636 + 0.00396132i
\(166\) −504.554 + 291.304i −0.235910 + 0.136202i
\(167\) 1811.60 + 3137.78i 0.839435 + 1.45394i 0.890368 + 0.455242i \(0.150447\pi\)
−0.0509327 + 0.998702i \(0.516219\pi\)
\(168\) −818.078 + 706.230i −0.375691 + 0.324326i
\(169\) −996.065 + 1725.24i −0.453375 + 0.785269i
\(170\) 743.638i 0.335496i
\(171\) 3307.12 1184.38i 1.47896 0.529658i
\(172\) 322.225 0.142845
\(173\) 1648.50 2855.29i 0.724470 1.25482i −0.234722 0.972063i \(-0.575418\pi\)
0.959192 0.282756i \(-0.0912488\pi\)
\(174\) 1077.02 + 97.0313i 0.469244 + 0.0422754i
\(175\) −33.7559 32.6531i −0.0145812 0.0141048i
\(176\) −11.3413 + 6.54791i −0.00485729 + 0.00280436i
\(177\) 2251.83 + 202.873i 0.956259 + 0.0861519i
\(178\) −148.728 85.8680i −0.0626270 0.0361577i
\(179\) 2746.77i 1.14695i 0.819225 + 0.573473i \(0.194404\pi\)
−0.819225 + 0.573473i \(0.805596\pi\)
\(180\) −2196.98 399.103i −0.909740 0.165263i
\(181\) 738.434i 0.303245i 0.988438 + 0.151622i \(0.0484498\pi\)
−0.988438 + 0.151622i \(0.951550\pi\)
\(182\) 46.7035 186.643i 0.0190214 0.0760159i
\(183\) 890.177 412.299i 0.359583 0.166547i
\(184\) 666.524 + 1154.45i 0.267048 + 0.462541i
\(185\) 1043.64 + 1807.64i 0.414757 + 0.718380i
\(186\) −537.062 + 762.801i −0.211716 + 0.300706i
\(187\) 20.3359 + 11.7409i 0.00795245 + 0.00459135i
\(188\) −1029.54 −0.399398
\(189\) −1279.19 + 2261.63i −0.492313 + 0.870418i
\(190\) −1044.98 −0.399005
\(191\) −2879.69 1662.59i −1.09093 0.629848i −0.157105 0.987582i \(-0.550216\pi\)
−0.933823 + 0.357734i \(0.883549\pi\)
\(192\) 959.247 1362.44i 0.360561 0.512113i
\(193\) 1660.75 + 2876.50i 0.619394 + 1.07282i 0.989596 + 0.143871i \(0.0459550\pi\)
−0.370202 + 0.928951i \(0.620712\pi\)
\(194\) −531.379 920.376i −0.196654 0.340614i
\(195\) 746.830 345.906i 0.274265 0.127030i
\(196\) 85.1126 + 2561.90i 0.0310177 + 0.933638i
\(197\) 501.482i 0.181366i 0.995880 + 0.0906830i \(0.0289050\pi\)
−0.995880 + 0.0906830i \(0.971095\pi\)
\(198\) 3.21437 3.79079i 0.00115371 0.00136060i
\(199\) 4067.59i 1.44896i −0.689294 0.724482i \(-0.742079\pi\)
0.689294 0.724482i \(-0.257921\pi\)
\(200\) −24.6633 14.2393i −0.00871978 0.00503437i
\(201\) −1918.44 172.837i −0.673215 0.0606518i
\(202\) −985.229 + 568.822i −0.343171 + 0.198130i
\(203\) 3692.16 3816.86i 1.27655 1.31966i
\(204\) −3580.77 322.602i −1.22894 0.110719i
\(205\) 589.213 1020.55i 0.200744 0.347698i
\(206\) 72.7943 0.0246205
\(207\) 2444.42 + 2072.73i 0.820767 + 0.695965i
\(208\) 739.062i 0.246369i
\(209\) −16.4987 + 28.5766i −0.00546048 + 0.00945783i
\(210\) 585.085 505.092i 0.192260 0.165974i
\(211\) −2456.95 4255.56i −0.801628 1.38846i −0.918544 0.395319i \(-0.870634\pi\)
0.116916 0.993142i \(-0.462699\pi\)
\(212\) −2713.58 + 1566.68i −0.879100 + 0.507549i
\(213\) −111.160 78.2635i −0.0357583 0.0251762i
\(214\) 200.821 347.832i 0.0641487 0.111109i
\(215\) −477.150 −0.151355
\(216\) −419.574 + 1518.69i −0.132169 + 0.478396i
\(217\) 1259.03 + 4404.87i 0.393865 + 1.37798i
\(218\) −251.800 145.377i −0.0782296 0.0451659i
\(219\) −3095.39 2179.35i −0.955100 0.672452i
\(220\) 18.1649 10.4875i 0.00556672 0.00321394i
\(221\) 1147.66 662.599i 0.349320 0.201680i
\(222\) 645.461 298.956i 0.195137 0.0903810i
\(223\) 1033.31 + 596.580i 0.310293 + 0.179148i 0.647058 0.762441i \(-0.275999\pi\)
−0.336765 + 0.941589i \(0.609333\pi\)
\(224\) 648.027 + 2267.20i 0.193295 + 0.676265i
\(225\) −67.3657 12.2376i −0.0199602 0.00362597i
\(226\) −517.443 −0.152300
\(227\) −2804.31 + 4857.22i −0.819951 + 1.42020i 0.0857665 + 0.996315i \(0.472666\pi\)
−0.905718 + 0.423882i \(0.860667\pi\)
\(228\) 453.330 5031.81i 0.131678 1.46158i
\(229\) 4618.56 2666.53i 1.33276 0.769472i 0.347042 0.937850i \(-0.387186\pi\)
0.985722 + 0.168378i \(0.0538530\pi\)
\(230\) −476.694 825.658i −0.136662 0.236706i
\(231\) −4.57487 23.9747i −0.00130305 0.00682865i
\(232\) 1610.08 2788.73i 0.455632 0.789179i
\(233\) 111.828i 0.0314424i −0.999876 0.0157212i \(-0.994996\pi\)
0.999876 0.0157212i \(-0.00500442\pi\)
\(234\) −94.5698 264.066i −0.0264197 0.0737715i
\(235\) 1524.54 0.423192
\(236\) 1625.87 2816.09i 0.448455 0.776746i
\(237\) 212.607 + 459.029i 0.0582713 + 0.125811i
\(238\) 865.279 894.503i 0.235663 0.243622i
\(239\) 4132.66 2385.99i 1.11849 0.645762i 0.177477 0.984125i \(-0.443206\pi\)
0.941016 + 0.338363i \(0.109873\pi\)
\(240\) −1709.30 + 2427.76i −0.459728 + 0.652963i
\(241\) −4621.37 2668.15i −1.23522 0.713156i −0.267109 0.963666i \(-0.586068\pi\)
−0.968114 + 0.250510i \(0.919402\pi\)
\(242\) 965.987i 0.256595i
\(243\) 281.371 + 3777.53i 0.0742797 + 0.997237i
\(244\) 1410.93i 0.370186i
\(245\) −126.035 3793.67i −0.0328656 0.989259i
\(246\) −328.375 231.198i −0.0851075 0.0599212i
\(247\) 931.104 + 1612.72i 0.239857 + 0.415445i
\(248\) 1389.00 + 2405.83i 0.355653 + 0.616008i
\(249\) 1752.99 + 3784.79i 0.446149 + 0.963258i
\(250\) 887.119 + 512.178i 0.224425 + 0.129572i
\(251\) −3081.73 −0.774970 −0.387485 0.921876i \(-0.626656\pi\)
−0.387485 + 0.921876i \(0.626656\pi\)
\(252\) 2178.30 + 3036.42i 0.544525 + 0.759035i
\(253\) −30.1052 −0.00748101
\(254\) 64.2194 + 37.0771i 0.0158641 + 0.00915915i
\(255\) 5302.41 + 477.709i 1.30216 + 0.117315i
\(256\) −828.589 1435.16i −0.202292 0.350381i
\(257\) −1067.55 1849.05i −0.259113 0.448797i 0.706892 0.707322i \(-0.250097\pi\)
−0.966005 + 0.258525i \(0.916764\pi\)
\(258\) −14.5909 + 161.954i −0.00352088 + 0.0390807i
\(259\) 847.957 3388.72i 0.203434 0.812992i
\(260\) 1183.72i 0.282352i
\(261\) 1383.74 7617.20i 0.328166 1.80649i
\(262\) 343.189i 0.0809248i
\(263\) −1429.14 825.115i −0.335075 0.193455i 0.323017 0.946393i \(-0.395303\pi\)
−0.658092 + 0.752938i \(0.728636\pi\)
\(264\) −6.22015 13.4296i −0.00145009 0.00313082i
\(265\) 4018.27 2319.95i 0.931473 0.537786i
\(266\) 1256.98 + 1215.92i 0.289739 + 0.280273i
\(267\) −707.812 + 1005.32i −0.162238 + 0.230430i
\(268\) −1385.16 + 2399.16i −0.315716 + 0.546837i
\(269\) −5477.73 −1.24157 −0.620787 0.783979i \(-0.713187\pi\)
−0.620787 + 0.783979i \(0.713187\pi\)
\(270\) 300.077 1086.16i 0.0676374 0.244820i
\(271\) 3607.16i 0.808558i −0.914636 0.404279i \(-0.867523\pi\)
0.914636 0.404279i \(-0.132477\pi\)
\(272\) −2390.31 + 4140.15i −0.532846 + 0.922916i
\(273\) −1300.83 452.912i −0.288388 0.100408i
\(274\) 950.577 + 1646.45i 0.209586 + 0.363013i
\(275\) 0.556988 0.321577i 0.000122137 7.05158e-5i
\(276\) 4182.52 1937.20i 0.912167 0.422485i
\(277\) −1488.99 + 2579.00i −0.322977 + 0.559413i −0.981101 0.193497i \(-0.938017\pi\)
0.658124 + 0.752910i \(0.271350\pi\)
\(278\) −901.707 −0.194535
\(279\) 5094.05 + 4319.47i 1.09309 + 0.926881i
\(280\) −632.554 2213.06i −0.135008 0.472342i
\(281\) −4936.36 2850.01i −1.04797 0.605043i −0.125886 0.992045i \(-0.540177\pi\)
−0.922079 + 0.387002i \(0.873511\pi\)
\(282\) 46.6192 517.458i 0.00984445 0.109270i
\(283\) −476.719 + 275.234i −0.100134 + 0.0578125i −0.549231 0.835671i \(-0.685079\pi\)
0.449097 + 0.893483i \(0.351746\pi\)
\(284\) −169.327 + 97.7611i −0.0353793 + 0.0204262i
\(285\) −671.291 + 7451.11i −0.139522 + 1.54865i
\(286\) 2.28178 + 1.31739i 0.000471763 + 0.000272373i
\(287\) −1896.23 + 541.996i −0.390004 + 0.111474i
\(288\) 2621.92 + 2223.24i 0.536452 + 0.454881i
\(289\) 3659.06 0.744771
\(290\) −1151.52 + 1994.49i −0.233170 + 0.403863i
\(291\) −6903.98 + 3197.69i −1.39078 + 0.644164i
\(292\) −4715.14 + 2722.29i −0.944976 + 0.545582i
\(293\) −3915.00 6780.98i −0.780603 1.35204i −0.931591 0.363508i \(-0.881579\pi\)
0.150988 0.988536i \(-0.451754\pi\)
\(294\) −1291.50 73.2286i −0.256196 0.0145265i
\(295\) −2407.59 + 4170.08i −0.475171 + 0.823021i
\(296\) 2118.22i 0.415943i
\(297\) −24.9648 25.3548i −0.00487746 0.00495366i
\(298\) 816.195 0.158661
\(299\) −849.492 + 1471.36i −0.164306 + 0.284586i
\(300\) −56.6897 + 80.5177i −0.0109099 + 0.0154956i
\(301\) 573.953 + 555.201i 0.109907 + 0.106316i
\(302\) 298.940 172.593i 0.0569604 0.0328861i
\(303\) 3423.01 + 7390.46i 0.648999 + 1.40122i
\(304\) −5817.86 3358.94i −1.09762 0.633712i
\(305\) 2089.30i 0.392240i
\(306\) 324.287 1785.13i 0.0605825 0.333494i
\(307\) 5845.06i 1.08663i −0.839529 0.543315i \(-0.817169\pi\)
0.839529 0.543315i \(-0.182831\pi\)
\(308\) −34.0531 8.52109i −0.00629986 0.00157641i
\(309\) 46.7627 519.050i 0.00860917 0.0955591i
\(310\) −993.407 1720.63i −0.182006 0.315243i
\(311\) 2909.85 + 5040.01i 0.530554 + 0.918947i 0.999364 + 0.0356482i \(0.0113496\pi\)
−0.468810 + 0.883299i \(0.655317\pi\)
\(312\) −831.878 74.9462i −0.150948 0.0135993i
\(313\) 5754.23 + 3322.21i 1.03913 + 0.599943i 0.919587 0.392886i \(-0.128523\pi\)
0.119545 + 0.992829i \(0.461857\pi\)
\(314\) −1403.19 −0.252187
\(315\) −3225.64 4496.34i −0.576965 0.804254i
\(316\) 727.561 0.129521
\(317\) 5206.82 + 3006.16i 0.922536 + 0.532626i 0.884443 0.466648i \(-0.154538\pi\)
0.0380927 + 0.999274i \(0.487872\pi\)
\(318\) −664.559 1434.82i −0.117191 0.253021i
\(319\) 36.3615 + 62.9800i 0.00638198 + 0.0110539i
\(320\) 1774.33 + 3073.22i 0.309962 + 0.536870i
\(321\) −2351.16 1655.37i −0.408814 0.287831i
\(322\) −387.313 + 1547.83i −0.0670314 + 0.267880i
\(323\) 12045.7i 2.07505i
\(324\) 5099.89 + 1916.13i 0.874468 + 0.328554i
\(325\) 36.2964i 0.00619496i
\(326\) −467.221 269.750i −0.0793772 0.0458285i
\(327\) −1198.35 + 1702.04i −0.202657 + 0.287838i
\(328\) −1035.68 + 597.947i −0.174346 + 0.100659i
\(329\) −1833.83 1773.92i −0.307302 0.297263i
\(330\) 4.44861 + 9.60479i 0.000742085 + 0.00160220i
\(331\) 1371.24 2375.06i 0.227705 0.394397i −0.729422 0.684064i \(-0.760211\pi\)
0.957128 + 0.289667i \(0.0935444\pi\)
\(332\) 5998.89 0.991662
\(333\) −1717.02 4794.42i −0.282560 0.788988i
\(334\) 2629.70i 0.430811i
\(335\) 2051.14 3552.68i 0.334525 0.579414i
\(336\) 4880.96 931.390i 0.792494 0.151225i
\(337\) 1953.27 + 3383.16i 0.315731 + 0.546862i 0.979593 0.200993i \(-0.0644169\pi\)
−0.663862 + 0.747856i \(0.731084\pi\)
\(338\) −1252.17 + 722.940i −0.201506 + 0.116339i
\(339\) −332.402 + 3689.56i −0.0532555 + 0.591119i
\(340\) 3828.47 6631.10i 0.610670 1.05771i
\(341\) −62.7377 −0.00996316
\(342\) 2508.52 + 455.698i 0.396624 + 0.0720506i
\(343\) −4262.62 + 4709.96i −0.671019 + 0.741440i
\(344\) 419.350 + 242.112i 0.0657262 + 0.0379471i
\(345\) −6193.48 + 2868.61i −0.966509 + 0.447654i
\(346\) 2072.36 1196.48i 0.321996 0.185904i
\(347\) −509.871 + 294.374i −0.0788799 + 0.0455413i −0.538921 0.842356i \(-0.681168\pi\)
0.460041 + 0.887898i \(0.347835\pi\)
\(348\) −9104.33 6410.04i −1.40242 0.987397i
\(349\) 6360.33 + 3672.14i 0.975532 + 0.563224i 0.900918 0.433989i \(-0.142894\pi\)
0.0746138 + 0.997213i \(0.476228\pi\)
\(350\) −9.36780 32.7743i −0.00143066 0.00500532i
\(351\) −1943.64 + 504.683i −0.295566 + 0.0767464i
\(352\) −32.2913 −0.00488957
\(353\) 4370.77 7570.40i 0.659016 1.14145i −0.321855 0.946789i \(-0.604306\pi\)
0.980871 0.194660i \(-0.0623604\pi\)
\(354\) 1341.78 + 944.701i 0.201454 + 0.141837i
\(355\) 250.740 144.765i 0.0374870 0.0216431i
\(356\) 884.148 + 1531.39i 0.131628 + 0.227987i
\(357\) −5822.29 6744.39i −0.863161 0.999862i
\(358\) −996.797 + 1726.50i −0.147157 + 0.254884i
\(359\) 7817.81i 1.14933i −0.818390 0.574663i \(-0.805133\pi\)
0.818390 0.574663i \(-0.194867\pi\)
\(360\) −2559.32 2170.16i −0.374689 0.317715i
\(361\) −10068.0 −1.46785
\(362\) −267.976 + 464.148i −0.0389075 + 0.0673897i
\(363\) −6887.85 620.545i −0.995918 0.0897249i
\(364\) −1377.35 + 1423.87i −0.198332 + 0.205031i
\(365\) 6982.19 4031.17i 1.00127 0.578085i
\(366\) 709.150 + 63.8892i 0.101278 + 0.00912443i
\(367\) 2084.12 + 1203.27i 0.296431 + 0.171145i 0.640839 0.767676i \(-0.278587\pi\)
−0.344407 + 0.938820i \(0.611920\pi\)
\(368\) 6129.05i 0.868204i
\(369\) −1859.47 + 2192.92i −0.262331 + 0.309374i
\(370\) 1514.94i 0.212859i
\(371\) −7532.91 1884.95i −1.05415 0.263779i
\(372\) 8716.16 4037.03i 1.21482 0.562662i
\(373\) −2185.08 3784.67i −0.303322 0.525370i 0.673564 0.739129i \(-0.264763\pi\)
−0.976886 + 0.213759i \(0.931429\pi\)
\(374\) 8.52152 + 14.7597i 0.00117817 + 0.00204066i
\(375\) 4221.90 5996.47i 0.581381 0.825750i
\(376\) −1339.86 773.570i −0.183772 0.106101i
\(377\) 4104.12 0.560671
\(378\) −1624.78 + 957.348i −0.221084 + 0.130266i
\(379\) 11260.9 1.52620 0.763102 0.646278i \(-0.223675\pi\)
0.763102 + 0.646278i \(0.223675\pi\)
\(380\) 9318.22 + 5379.88i 1.25793 + 0.726268i
\(381\) 305.628 434.090i 0.0410965 0.0583704i
\(382\) −1206.70 2090.07i −0.161624 0.279940i
\(383\) −1486.57 2574.82i −0.198330 0.343517i 0.749657 0.661826i \(-0.230218\pi\)
−0.947987 + 0.318309i \(0.896885\pi\)
\(384\) 5899.83 2732.60i 0.784048 0.363144i
\(385\) 50.4259 + 12.6180i 0.00667518 + 0.00167032i
\(386\) 2410.72i 0.317882i
\(387\) 1145.42 + 208.077i 0.150452 + 0.0273311i
\(388\) 10942.8i 1.43179i
\(389\) −5714.27 3299.13i −0.744794 0.430007i 0.0790159 0.996873i \(-0.474822\pi\)
−0.823810 + 0.566866i \(0.808156\pi\)
\(390\) 594.954 + 53.6010i 0.0772479 + 0.00695947i
\(391\) −9517.53 + 5494.95i −1.23100 + 0.710720i
\(392\) −1814.18 + 3398.06i −0.233750 + 0.437827i
\(393\) −2447.07 220.463i −0.314092 0.0282974i
\(394\) −181.987 + 315.210i −0.0232699 + 0.0403047i
\(395\) −1077.37 −0.137237
\(396\) −48.1790 + 17.2543i −0.00611385 + 0.00218955i
\(397\) 5908.48i 0.746947i −0.927641 0.373474i \(-0.878167\pi\)
0.927641 0.373474i \(-0.121833\pi\)
\(398\) 1476.12 2556.71i 0.185907 0.322001i
\(399\) 9477.42 8181.66i 1.18913 1.02655i
\(400\) 65.4693 + 113.396i 0.00818366 + 0.0141745i
\(401\) −4847.53 + 2798.72i −0.603676 + 0.348532i −0.770486 0.637457i \(-0.779986\pi\)
0.166811 + 0.985989i \(0.446653\pi\)
\(402\) −1143.13 804.835i −0.141826 0.0998546i
\(403\) −1770.30 + 3066.25i −0.218821 + 0.379009i
\(404\) 11713.9 1.44254
\(405\) −7551.93 2837.40i −0.926564 0.348127i
\(406\) 3705.87 1059.24i 0.453003 0.129481i
\(407\) 41.4283 + 23.9187i 0.00504552 + 0.00291303i
\(408\) −4417.70 3110.35i −0.536051 0.377415i
\(409\) 948.568 547.656i 0.114679 0.0662099i −0.441563 0.897230i \(-0.645576\pi\)
0.556242 + 0.831020i \(0.312243\pi\)
\(410\) 740.708 427.648i 0.0892219 0.0515123i
\(411\) 12350.4 5720.30i 1.48224 0.686525i
\(412\) −649.115 374.767i −0.0776204 0.0448141i
\(413\) 7748.24 2214.66i 0.923162 0.263865i
\(414\) 784.269 + 2189.90i 0.0931031 + 0.259971i
\(415\) −8883.16 −1.05074
\(416\) −911.178 + 1578.21i −0.107390 + 0.186005i
\(417\) −579.251 + 6429.50i −0.0680241 + 0.755046i
\(418\) −20.7408 + 11.9747i −0.00242695 + 0.00140120i
\(419\) 6796.78 + 11772.4i 0.792468 + 1.37260i 0.924434 + 0.381341i \(0.124538\pi\)
−0.131966 + 0.991254i \(0.542129\pi\)
\(420\) −7817.63 + 1491.77i −0.908241 + 0.173312i
\(421\) 2842.13 4922.72i 0.329019 0.569878i −0.653298 0.757101i \(-0.726615\pi\)
0.982318 + 0.187222i \(0.0599485\pi\)
\(422\) 3566.49i 0.411407i
\(423\) −3659.72 664.825i −0.420666 0.0764182i
\(424\) −4708.68 −0.539324
\(425\) 117.392 203.329i 0.0133984 0.0232068i
\(426\) −41.4685 89.5327i −0.00471633 0.0101828i
\(427\) 2431.06 2513.17i 0.275521 0.284826i
\(428\) −3581.48 + 2067.77i −0.404480 + 0.233527i
\(429\) 10.8592 15.4236i 0.00122212 0.00173581i
\(430\) −299.916 173.157i −0.0336355 0.0194194i
\(431\) 4806.22i 0.537140i 0.963260 + 0.268570i \(0.0865511\pi\)
−0.963260 + 0.268570i \(0.913449\pi\)
\(432\) 5161.95 5082.54i 0.574894 0.566050i
\(433\) 9621.49i 1.06785i 0.845532 + 0.533925i \(0.179284\pi\)
−0.845532 + 0.533925i \(0.820716\pi\)
\(434\) −807.142 + 3225.61i −0.0892720 + 0.356761i
\(435\) 13481.7 + 9491.99i 1.48597 + 1.04622i
\(436\) 1496.89 + 2592.68i 0.164422 + 0.284787i
\(437\) −7721.67 13374.3i −0.845257 1.46403i
\(438\) −1154.75 2493.16i −0.125972 0.271981i
\(439\) −11200.0 6466.31i −1.21764 0.703007i −0.253230 0.967406i \(-0.581493\pi\)
−0.964413 + 0.264399i \(0.914826\pi\)
\(440\) 31.5202 0.00341516
\(441\) −1351.80 + 9161.81i −0.145967 + 0.989290i
\(442\) 961.823 0.103505
\(443\) 11401.0 + 6582.35i 1.22275 + 0.705953i 0.965502 0.260394i \(-0.0838524\pi\)
0.257244 + 0.966347i \(0.417186\pi\)
\(444\) −7294.76 657.205i −0.779716 0.0702467i
\(445\) −1309.25 2267.68i −0.139470 0.241569i
\(446\) 432.995 + 749.969i 0.0459706 + 0.0796235i
\(447\) 524.319 5819.78i 0.0554798 0.615807i
\(448\) 1441.64 5761.27i 0.152033 0.607577i
\(449\) 7787.86i 0.818557i 0.912410 + 0.409278i \(0.134219\pi\)
−0.912410 + 0.409278i \(0.865781\pi\)
\(450\) −37.9022 32.1389i −0.00397050 0.00336676i
\(451\) 27.0077i 0.00281983i
\(452\) 4614.09 + 2663.95i 0.480152 + 0.277216i
\(453\) −1038.61 2242.42i −0.107723 0.232579i
\(454\) −3525.34 + 2035.36i −0.364433 + 0.210406i
\(455\) 2039.59 2108.47i 0.210148 0.217246i
\(456\) 4370.75 6207.88i 0.448858 0.637524i
\(457\) −2408.56 + 4171.76i −0.246538 + 0.427017i −0.962563 0.271058i \(-0.912626\pi\)
0.716025 + 0.698075i \(0.245960\pi\)
\(458\) 3870.71 0.394904
\(459\) −12520.3 3459.05i −1.27320 0.351753i
\(460\) 9816.65i 0.995008i
\(461\) 25.6446 44.4177i 0.00259086 0.00448750i −0.864727 0.502242i \(-0.832509\pi\)
0.867318 + 0.497755i \(0.165842\pi\)
\(462\) 5.82478 16.7297i 0.000586566 0.00168471i
\(463\) 4787.43 + 8292.07i 0.480542 + 0.832322i 0.999751 0.0223247i \(-0.00710677\pi\)
−0.519209 + 0.854647i \(0.673773\pi\)
\(464\) −12822.0 + 7402.77i −1.28286 + 0.740657i
\(465\) −12906.9 + 5978.04i −1.28719 + 0.596183i
\(466\) 40.5820 70.2901i 0.00403418 0.00698740i
\(467\) −12806.5 −1.26898 −0.634492 0.772929i \(-0.718791\pi\)
−0.634492 + 0.772929i \(0.718791\pi\)
\(468\) −516.201 + 2841.58i −0.0509859 + 0.280667i
\(469\) −6601.09 + 1886.77i −0.649915 + 0.185764i
\(470\) 958.262 + 553.253i 0.0940453 + 0.0542971i
\(471\) −901.404 + 10005.3i −0.0881837 + 0.978811i
\(472\) 4231.89 2443.28i 0.412688 0.238265i
\(473\) −9.47047 + 5.46778i −0.000920619 + 0.000531520i
\(474\) −32.9452 + 365.681i −0.00319245 + 0.0354352i
\(475\) 285.723 + 164.962i 0.0275998 + 0.0159347i
\(476\) −12321.0 + 3521.67i −1.18641 + 0.339108i
\(477\) −10657.7 + 3816.84i −1.02302 + 0.366375i
\(478\) 3463.49 0.331415
\(479\) 2542.79 4404.24i 0.242553 0.420114i −0.718888 0.695126i \(-0.755348\pi\)
0.961441 + 0.275012i \(0.0886818\pi\)
\(480\) −6643.21 + 3076.91i −0.631708 + 0.292586i
\(481\) 2338.01 1349.85i 0.221630 0.127958i
\(482\) −1936.53 3354.17i −0.183001 0.316967i
\(483\) 10787.8 + 3756.01i 1.01628 + 0.353839i
\(484\) −4973.19 + 8613.81i −0.467054 + 0.808961i
\(485\) 16204.1i 1.51709i
\(486\) −1194.00 + 2476.50i −0.111442 + 0.231145i
\(487\) 16991.3 1.58100 0.790501 0.612461i \(-0.209820\pi\)
0.790501 + 0.612461i \(0.209820\pi\)
\(488\) 1060.14 1836.21i 0.0983405 0.170331i
\(489\) −2223.56 + 3158.17i −0.205629 + 0.292060i
\(490\) 1297.49 2430.27i 0.119622 0.224058i
\(491\) 8055.59 4650.90i 0.740415 0.427479i −0.0818052 0.996648i \(-0.526069\pi\)
0.822220 + 0.569170i \(0.192735\pi\)
\(492\) 1737.89 + 3752.19i 0.159248 + 0.343825i
\(493\) 22990.8 + 13273.8i 2.10032 + 1.21262i
\(494\) 1351.58i 0.123098i
\(495\) 71.3435 25.5502i 0.00647808 0.00231999i
\(496\) 12772.6i 1.15627i
\(497\) −470.054 117.621i −0.0424241 0.0106157i
\(498\) −271.640 + 3015.11i −0.0244427 + 0.271306i
\(499\) 250.332 + 433.588i 0.0224577 + 0.0388979i 0.877036 0.480425i \(-0.159518\pi\)
−0.854578 + 0.519323i \(0.826184\pi\)
\(500\) −5273.69 9134.30i −0.471693 0.816997i
\(501\) 18750.7 + 1689.30i 1.67210 + 0.150644i
\(502\) −1937.05 1118.35i −0.172220 0.0994315i
\(503\) 3581.09 0.317441 0.158721 0.987324i \(-0.449263\pi\)
0.158721 + 0.987324i \(0.449263\pi\)
\(504\) 553.396 + 5588.39i 0.0489092 + 0.493902i
\(505\) −17345.9 −1.52848
\(506\) −18.9228 10.9251i −0.00166249 0.000959842i
\(507\) 4350.44 + 9392.84i 0.381085 + 0.822782i
\(508\) −381.768 661.241i −0.0333429 0.0577516i
\(509\) 5085.37 + 8808.13i 0.442839 + 0.767020i 0.997899 0.0647904i \(-0.0206379\pi\)
−0.555060 + 0.831811i \(0.687305\pi\)
\(510\) 3159.51 + 2224.50i 0.274325 + 0.193142i
\(511\) −13089.3 3275.32i −1.13314 0.283545i
\(512\) 11213.1i 0.967882i
\(513\) 4860.76 17594.0i 0.418338 1.51421i
\(514\) 1549.65i 0.132981i
\(515\) 961.210 + 554.955i 0.0822446 + 0.0474839i
\(516\) 963.895 1369.04i 0.0822348 0.116800i
\(517\) 30.2591 17.4701i 0.00257407 0.00148614i
\(518\) 1762.75 1822.28i 0.149519 0.154569i
\(519\) −7200.05 15545.3i −0.608954 1.31476i
\(520\) 889.422 1540.52i 0.0750072 0.129916i
\(521\) 389.899 0.0327865 0.0163933 0.999866i \(-0.494782\pi\)
0.0163933 + 0.999866i \(0.494782\pi\)
\(522\) 3634.02 4285.69i 0.304707 0.359348i
\(523\) 14306.4i 1.19613i −0.801448 0.598065i \(-0.795937\pi\)
0.801448 0.598065i \(-0.204063\pi\)
\(524\) −1766.84 + 3060.25i −0.147299 + 0.255130i
\(525\) −239.711 + 45.7419i −0.0199273 + 0.00380255i
\(526\) −598.865 1037.26i −0.0496421 0.0859827i
\(527\) −19834.1 + 11451.2i −1.63944 + 0.946532i
\(528\) −6.10589 + 67.7734i −0.000503266 + 0.00558609i
\(529\) 961.351 1665.11i 0.0790130 0.136854i
\(530\) 3367.62 0.276000
\(531\) 7598.02 8960.53i 0.620953 0.732305i
\(532\) −4948.76 17313.8i −0.403301 1.41099i
\(533\) −1319.98 762.090i −0.107269 0.0619320i
\(534\) −809.730 + 375.039i −0.0656188 + 0.0303924i
\(535\) 5303.46 3061.96i 0.428577 0.247439i
\(536\) −3605.35 + 2081.55i −0.290536 + 0.167741i
\(537\) 11670.3 + 8216.63i 0.937820 + 0.660286i
\(538\) −3443.07 1987.86i −0.275913 0.159299i
\(539\) −45.9740 73.8523i −0.00367392 0.00590175i
\(540\) −8267.67 + 8140.49i −0.658859 + 0.648724i
\(541\) 21775.6 1.73051 0.865257 0.501328i \(-0.167155\pi\)
0.865257 + 0.501328i \(0.167155\pi\)
\(542\) 1309.03 2267.30i 0.103741 0.179685i
\(543\) 3137.40 + 2208.93i 0.247954 + 0.174575i
\(544\) −10208.6 + 5893.96i −0.804581 + 0.464525i
\(545\) −2216.59 3839.25i −0.174217 0.301753i
\(546\) −653.287 756.750i −0.0512053 0.0593149i
\(547\) 8960.85 15520.7i 0.700436 1.21319i −0.267878 0.963453i \(-0.586322\pi\)
0.968314 0.249738i \(-0.0803444\pi\)
\(548\) 19575.4i 1.52595i
\(549\) 911.107 5015.46i 0.0708290 0.389899i
\(550\) 0.466799 3.61897e−5
\(551\) −18652.7 + 32307.4i −1.44216 + 2.49790i
\(552\) 6898.78 + 621.530i 0.531941 + 0.0479240i
\(553\) 1295.94 + 1253.61i 0.0996549 + 0.0963991i
\(554\) −1871.83 + 1080.70i −0.143550 + 0.0828783i
\(555\) 10802.1 + 973.189i 0.826168 + 0.0744317i
\(556\) 8040.62 + 4642.25i 0.613306 + 0.354092i
\(557\) 19309.8i 1.46891i −0.678657 0.734455i \(-0.737438\pi\)
0.678657 0.734455i \(-0.262562\pi\)
\(558\) 1634.38 + 4563.65i 0.123994 + 0.346227i
\(559\) 617.148i 0.0466951i
\(560\) −2568.88 + 10266.1i −0.193848 + 0.774683i
\(561\) 110.716 51.2801i 0.00833235 0.00385926i
\(562\) −2068.52 3582.78i −0.155259 0.268916i
\(563\) −3232.24 5598.41i −0.241959 0.419085i 0.719313 0.694686i \(-0.244457\pi\)
−0.961272 + 0.275601i \(0.911123\pi\)
\(564\) −3079.74 + 4374.23i −0.229930 + 0.326575i
\(565\) −6832.55 3944.78i −0.508757 0.293731i
\(566\) −399.527 −0.0296702
\(567\) 5782.50 + 12200.3i 0.428293 + 0.903640i
\(568\) −293.821 −0.0217050
\(569\) 17286.9 + 9980.61i 1.27365 + 0.735341i 0.975673 0.219233i \(-0.0703555\pi\)
0.297975 + 0.954574i \(0.403689\pi\)
\(570\) −3125.94 + 4439.84i −0.229704 + 0.326253i
\(571\) 6257.56 + 10838.4i 0.458617 + 0.794349i 0.998888 0.0471426i \(-0.0150115\pi\)
−0.540271 + 0.841491i \(0.681678\pi\)
\(572\) −13.5646 23.4945i −0.000991545 0.00171741i
\(573\) −15678.1 + 7261.58i −1.14304 + 0.529419i
\(574\) −1388.58 347.463i −0.100973 0.0252663i
\(575\) 301.007i 0.0218310i
\(576\) −2919.17 8151.15i −0.211166 0.589638i
\(577\) 547.118i 0.0394746i 0.999805 + 0.0197373i \(0.00628298\pi\)
−0.999805 + 0.0197373i \(0.993717\pi\)
\(578\) 2299.93 + 1327.87i 0.165509 + 0.0955569i
\(579\) 17189.4 + 1548.64i 1.23379 + 0.111156i
\(580\) 20536.4 11856.7i 1.47022 0.848832i
\(581\) 10685.3 + 10336.2i 0.762999 + 0.738071i
\(582\) −5499.98 495.508i −0.391721 0.0352912i
\(583\) 53.1697 92.0926i 0.00377712 0.00654217i
\(584\) −8181.85 −0.579739
\(585\) 764.391 4207.81i 0.0540234 0.297387i
\(586\) 5682.98i 0.400617i
\(587\) −902.414 + 1563.03i −0.0634525 + 0.109903i −0.896006 0.444041i \(-0.853544\pi\)
0.832554 + 0.553944i \(0.186878\pi\)
\(588\) 11139.4 + 7302.00i 0.781262 + 0.512124i
\(589\) −16091.6 27871.4i −1.12571 1.94978i
\(590\) −3026.62 + 1747.42i −0.211193 + 0.121933i
\(591\) 2130.66 + 1500.12i 0.148297 + 0.104411i
\(592\) −4869.55 + 8434.31i −0.338070 + 0.585554i
\(593\) −20359.7 −1.40990 −0.704951 0.709256i \(-0.749031\pi\)
−0.704951 + 0.709256i \(0.749031\pi\)
\(594\) −6.49060 24.9967i −0.000448338 0.00172664i
\(595\) 18244.9 5214.89i 1.25709 0.359311i
\(596\) −7278.10 4202.01i −0.500206 0.288794i
\(597\) −17282.1 12167.7i −1.18477 0.834155i
\(598\) −1067.91 + 616.557i −0.0730268 + 0.0421620i
\(599\) −3739.33 + 2158.90i −0.255067 + 0.147263i −0.622082 0.782952i \(-0.713713\pi\)
0.367015 + 0.930215i \(0.380380\pi\)
\(600\) −134.276 + 62.1922i −0.00913634 + 0.00423164i
\(601\) −6928.17 3999.98i −0.470227 0.271485i 0.246108 0.969242i \(-0.420848\pi\)
−0.716335 + 0.697757i \(0.754182\pi\)
\(602\) 159.281 + 557.262i 0.0107837 + 0.0377281i
\(603\) −6473.11 + 7633.90i −0.437157 + 0.515549i
\(604\) −3554.24 −0.239437
\(605\) 7364.30 12755.3i 0.494878 0.857154i
\(606\) −530.423 + 5887.53i −0.0355561 + 0.394661i
\(607\) 3079.67 1778.05i 0.205931 0.118894i −0.393488 0.919330i \(-0.628732\pi\)
0.599419 + 0.800435i \(0.295398\pi\)
\(608\) −8282.37 14345.5i −0.552458 0.956886i
\(609\) −5172.14 27104.7i −0.344148 1.80351i
\(610\) −758.204 + 1313.25i −0.0503258 + 0.0871669i
\(611\) 1971.85i 0.130560i
\(612\) −12082.1 + 14248.7i −0.798022 + 0.941127i
\(613\) −7113.75 −0.468714 −0.234357 0.972151i \(-0.575298\pi\)
−0.234357 + 0.972151i \(0.575298\pi\)
\(614\) 2121.16 3673.96i 0.139419 0.241480i
\(615\) −2573.46 5556.25i −0.168735 0.364308i
\(616\) −37.9149 36.6762i −0.00247993 0.00239891i
\(617\) 790.942 456.650i 0.0516080 0.0297959i −0.473974 0.880539i \(-0.657181\pi\)
0.525582 + 0.850743i \(0.323848\pi\)
\(618\) 217.755 309.283i 0.0141738 0.0201314i
\(619\) 819.836 + 473.333i 0.0532342 + 0.0307348i 0.526381 0.850249i \(-0.323549\pi\)
−0.473147 + 0.880984i \(0.656882\pi\)
\(620\) 20457.4i 1.32514i
\(621\) 16118.6 4185.35i 1.04158 0.270454i
\(622\) 4223.91i 0.272288i
\(623\) −1063.76 + 4251.15i −0.0684088 + 0.273385i
\(624\) 3140.07 + 2210.81i 0.201448 + 0.141832i
\(625\) 7650.79 + 13251.6i 0.489651 + 0.848100i
\(626\) 2411.24 + 4176.39i 0.153950 + 0.266649i
\(627\) 72.0603 + 155.582i 0.00458981 + 0.00990964i
\(628\) 12512.4 + 7224.06i 0.795065 + 0.459031i
\(629\) 17463.0 1.10699
\(630\) −395.786 3996.78i −0.0250293 0.252755i
\(631\) 3209.46 0.202482 0.101241 0.994862i \(-0.467719\pi\)
0.101241 + 0.994862i \(0.467719\pi\)
\(632\) 946.863 + 546.671i 0.0595952 + 0.0344073i
\(633\) −25430.4 2291.09i −1.59679 0.143859i
\(634\) 2181.85 + 3779.08i 0.136676 + 0.236730i
\(635\) 565.322 + 979.167i 0.0353293 + 0.0611922i
\(636\) −1460.92 + 16215.8i −0.0910840 + 1.01100i
\(637\) −4906.74 + 163.014i −0.305199 + 0.0101395i
\(638\) 52.7820i 0.00327533i
\(639\) −665.040 + 238.170i −0.0411715 + 0.0147447i
\(640\) 13847.3i 0.855253i
\(641\) 12387.1 + 7151.71i 0.763279 + 0.440679i 0.830472 0.557061i \(-0.188071\pi\)
−0.0671928 + 0.997740i \(0.521404\pi\)
\(642\) −877.111 1893.73i −0.0539202 0.116417i
\(643\) 844.276 487.443i 0.0517807 0.0298956i −0.473886 0.880586i \(-0.657149\pi\)
0.525667 + 0.850691i \(0.323816\pi\)
\(644\) 11422.4 11808.2i 0.698923 0.722529i
\(645\) −1427.34 + 2027.28i −0.0871339 + 0.123758i
\(646\) −4371.36 + 7571.43i −0.266237 + 0.461136i
\(647\) 12668.5 0.769783 0.384891 0.922962i \(-0.374239\pi\)
0.384891 + 0.922962i \(0.374239\pi\)
\(648\) 5197.38 + 6325.62i 0.315081 + 0.383478i
\(649\) 110.357i 0.00667470i
\(650\) 13.1719 22.8144i 0.000794836 0.00137670i
\(651\) 22481.3 + 7827.34i 1.35347 + 0.471240i
\(652\) 2777.51 + 4810.78i 0.166834 + 0.288964i
\(653\) −13746.7 + 7936.65i −0.823812 + 0.475628i −0.851729 0.523982i \(-0.824446\pi\)
0.0279172 + 0.999610i \(0.491113\pi\)
\(654\) −1370.90 + 634.952i −0.0819668 + 0.0379642i
\(655\) 2616.34 4531.63i 0.156074 0.270329i
\(656\) 5498.45 0.327254
\(657\) −18518.9 + 6632.18i −1.09968 + 0.393829i
\(658\) −508.918 1780.50i −0.0301515 0.105488i
\(659\) −26410.9 15248.4i −1.56119 0.901353i −0.997137 0.0756145i \(-0.975908\pi\)
−0.564053 0.825739i \(-0.690759\pi\)
\(660\) 9.77954 108.550i 0.000576770 0.00640196i
\(661\) −14464.7 + 8351.23i −0.851155 + 0.491415i −0.861040 0.508536i \(-0.830187\pi\)
0.00988528 + 0.999951i \(0.496853\pi\)
\(662\) 1723.81 995.243i 0.101205 0.0584308i
\(663\) 617.870 6858.16i 0.0361932 0.401733i
\(664\) 7807.08 + 4507.42i 0.456285 + 0.263436i
\(665\) 7328.13 + 25638.3i 0.427327 + 1.49505i
\(666\) 660.638 3636.67i 0.0384372 0.211589i
\(667\) −34035.5 −1.97580
\(668\) 13538.5 23449.3i 0.784160 1.35821i
\(669\) 5625.71 2605.64i 0.325116 0.150583i
\(670\) 2578.52 1488.71i 0.148682 0.0858416i
\(671\) 23.9418 + 41.4685i 0.00137744 + 0.00238580i
\(672\) 11571.2 + 4028.75i 0.664238 + 0.231268i
\(673\) −12445.2 + 21555.7i −0.712820 + 1.23464i 0.250975 + 0.967994i \(0.419249\pi\)
−0.963794 + 0.266646i \(0.914084\pi\)
\(674\) 2835.35i 0.162038i
\(675\) −253.511 + 249.611i −0.0144557 + 0.0142334i
\(676\) 14887.6 0.847043
\(677\) 756.276 1309.91i 0.0429336 0.0743632i −0.843760 0.536721i \(-0.819663\pi\)
0.886694 + 0.462357i \(0.152996\pi\)
\(678\) −1547.87 + 2198.47i −0.0876776 + 0.124531i
\(679\) −18854.7 + 19491.5i −1.06565 + 1.10164i
\(680\) 9964.90 5753.23i 0.561965 0.324451i
\(681\) 12248.2 + 26444.5i 0.689210 + 1.48804i
\(682\) −39.4342 22.7674i −0.00221410 0.00127831i
\(683\) 2180.44i 0.122156i 0.998133 + 0.0610778i \(0.0194538\pi\)
−0.998133 + 0.0610778i \(0.980546\pi\)
\(684\) −20022.7 16978.1i −1.11928 0.949086i
\(685\) 28987.3i 1.61686i
\(686\) −4388.53 + 1413.58i −0.244249 + 0.0786748i
\(687\) 2486.52 27599.6i 0.138088 1.53274i
\(688\) −1113.17 1928.08i −0.0616852 0.106842i
\(689\) −3000.63 5197.24i −0.165914 0.287372i
\(690\) −4933.97 444.514i −0.272222 0.0245252i
\(691\) −24166.2 13952.4i −1.33043 0.768124i −0.345064 0.938579i \(-0.612143\pi\)
−0.985365 + 0.170455i \(0.945476\pi\)
\(692\) −24639.2 −1.35353
\(693\) −115.547 52.2799i −0.00633372 0.00286573i
\(694\) −427.311 −0.0233725
\(695\) −11906.6 6874.25i −0.649844 0.375187i
\(696\) −7032.22 15182.9i −0.382982 0.826879i
\(697\) −4929.59 8538.30i −0.267893 0.464004i
\(698\) 2665.22 + 4616.30i 0.144527 + 0.250329i
\(699\) −475.125 334.519i −0.0257094 0.0181011i
\(700\) −85.1981 + 340.480i −0.00460027 + 0.0183842i
\(701\) 15696.6i 0.845722i 0.906195 + 0.422861i \(0.138974\pi\)
−0.906195 + 0.422861i \(0.861026\pi\)
\(702\) −1404.84 388.120i −0.0755302 0.0208670i
\(703\) 24539.6i 1.31654i
\(704\) 70.4336 + 40.6648i 0.00377069 + 0.00217701i
\(705\) 4560.48 6477.36i 0.243628 0.346030i
\(706\) 5494.56 3172.29i 0.292904 0.169108i
\(707\) 20864.9 + 20183.3i 1.10991 + 1.07365i
\(708\) −7101.21 15331.9i −0.376949 0.813853i
\(709\) 9253.46 16027.5i 0.490157 0.848976i −0.509779 0.860305i \(-0.670273\pi\)
0.999936 + 0.0113291i \(0.00360624\pi\)
\(710\) 210.139 0.0111076
\(711\) 2586.28 + 469.823i 0.136418 + 0.0247816i
\(712\) 2657.31i 0.139869i
\(713\) 14681.1 25428.5i 0.771126 1.33563i
\(714\) −1212.12 6352.13i −0.0635329 0.332945i
\(715\) 20.0864 + 34.7907i 0.00105062 + 0.00181972i
\(716\) 17777.1 10263.6i 0.927879 0.535711i
\(717\) 2224.93 24696.0i 0.115888 1.28631i
\(718\) 2837.06 4913.94i 0.147463 0.255413i
\(719\) 12998.8 0.674232 0.337116 0.941463i \(-0.390549\pi\)
0.337116 + 0.941463i \(0.390549\pi\)
\(720\) 5201.72 + 14524.7i 0.269245 + 0.751810i
\(721\) −510.483 1785.98i −0.0263681 0.0922517i
\(722\) −6328.32 3653.66i −0.326199 0.188331i
\(723\) −25160.5 + 11653.5i −1.29423 + 0.599444i
\(724\) 4779.14 2759.24i 0.245325 0.141639i
\(725\) 629.705 363.561i 0.0322575 0.0186239i
\(726\) −4104.21 2889.63i −0.209809 0.147719i
\(727\) 1646.14 + 950.399i 0.0839779 + 0.0484846i 0.541401 0.840765i \(-0.317894\pi\)
−0.457423 + 0.889249i \(0.651227\pi\)
\(728\) −2862.38 + 818.148i −0.145724 + 0.0416519i
\(729\) 16891.4 + 10104.6i 0.858171 + 0.513364i
\(730\) 5851.61 0.296682
\(731\) −1996.01 + 3457.20i −0.100992 + 0.174923i
\(732\) −5994.64 4220.62i −0.302689 0.213113i
\(733\) 4804.26 2773.74i 0.242087 0.139769i −0.374049 0.927409i \(-0.622031\pi\)
0.616135 + 0.787640i \(0.288697\pi\)
\(734\) 873.327 + 1512.65i 0.0439170 + 0.0760665i
\(735\) −16495.3 10812.8i −0.827805 0.542634i
\(736\) 7556.41 13088.1i 0.378442 0.655480i
\(737\) 94.0181i 0.00469905i
\(738\) −1964.59 + 703.577i −0.0979913 + 0.0350936i
\(739\) −15681.5 −0.780586 −0.390293 0.920691i \(-0.627626\pi\)
−0.390293 + 0.920691i \(0.627626\pi\)
\(740\) 7799.36 13508.9i 0.387446 0.671076i
\(741\) 9637.29 + 868.249i 0.477780 + 0.0430445i
\(742\) −4050.82 3918.48i −0.200418 0.193870i
\(743\) 15659.4 9040.97i 0.773201 0.446408i −0.0608145 0.998149i \(-0.519370\pi\)
0.834015 + 0.551741i \(0.186036\pi\)
\(744\) 14376.7 + 1295.24i 0.708436 + 0.0638249i
\(745\) 10777.4 + 6222.35i 0.530006 + 0.305999i
\(746\) 3171.84i 0.155669i
\(747\) 21324.4 + 3873.78i 1.04447 + 0.189738i
\(748\) 175.485i 0.00857804i
\(749\) −9942.23 2487.83i −0.485021 0.121366i
\(750\) 4829.81 2237.00i 0.235146 0.108912i
\(751\) −11091.4 19210.8i −0.538921 0.933438i −0.998962 0.0455407i \(-0.985499\pi\)
0.460042 0.887897i \(-0.347834\pi\)
\(752\) 3556.70 + 6160.39i 0.172473 + 0.298732i
\(753\) −9218.63 + 13093.4i −0.446143 + 0.633667i
\(754\) 2579.67 + 1489.38i 0.124597 + 0.0719361i
\(755\) 5263.12 0.253701
\(756\) 19417.1 171.925i 0.934116 0.00827098i
\(757\) −2531.12 −0.121526 −0.0607630 0.998152i \(-0.519353\pi\)
−0.0607630 + 0.998152i \(0.519353\pi\)
\(758\) 7078.10 + 4086.54i 0.339166 + 0.195818i
\(759\) −90.0559 + 127.909i −0.00430675 + 0.00611698i
\(760\) 8084.62 + 14003.0i 0.385868 + 0.668344i
\(761\) 1897.02 + 3285.73i 0.0903637 + 0.156514i 0.907664 0.419697i \(-0.137864\pi\)
−0.817301 + 0.576212i \(0.804530\pi\)
\(762\) 349.635 161.939i 0.0166220 0.00769873i
\(763\) −1800.98 + 7197.31i −0.0854518 + 0.341494i
\(764\) 24849.8i 1.17675i
\(765\) 17891.2 21099.5i 0.845564 0.997194i
\(766\) 2157.89i 0.101786i
\(767\) 5393.59 + 3113.99i 0.253913 + 0.146597i
\(768\) −8576.22 772.654i −0.402953 0.0363031i
\(769\) 5524.12 3189.35i 0.259044 0.149559i −0.364854 0.931065i \(-0.618881\pi\)
0.623898 + 0.781506i \(0.285548\pi\)
\(770\) 27.1165 + 26.2306i 0.00126911 + 0.00122764i
\(771\) −11049.6 995.485i −0.516135 0.0465000i
\(772\) 12411.1 21496.7i 0.578609 1.00218i
\(773\) 29728.9