Properties

Label 43.4.e.a.11.1
Level $43$
Weight $4$
Character 43.11
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.08835 - 3.87267i) q^{2} +(-0.198541 + 0.248963i) q^{3} +(-3.67950 + 16.1209i) q^{4} +(-11.1889 + 5.38829i) q^{5} +1.57731 q^{6} +3.53619 q^{7} +(38.0923 - 18.3443i) q^{8} +(5.98550 + 26.2242i) q^{9} +O(q^{10})\) \(q+(-3.08835 - 3.87267i) q^{2} +(-0.198541 + 0.248963i) q^{3} +(-3.67950 + 16.1209i) q^{4} +(-11.1889 + 5.38829i) q^{5} +1.57731 q^{6} +3.53619 q^{7} +(38.0923 - 18.3443i) q^{8} +(5.98550 + 26.2242i) q^{9} +(55.4224 + 26.6900i) q^{10} +(-2.16594 - 9.48961i) q^{11} +(-3.28298 - 4.11672i) q^{12} +(-52.4796 + 25.2729i) q^{13} +(-10.9210 - 13.6945i) q^{14} +(0.879973 - 3.85541i) q^{15} +(-69.4999 - 33.4694i) q^{16} +(-86.9732 - 41.8841i) q^{17} +(83.0724 - 104.169i) q^{18} +(-29.0416 + 127.240i) q^{19} +(-45.6948 - 200.202i) q^{20} +(-0.702078 + 0.880378i) q^{21} +(-30.0610 + 37.6953i) q^{22} +(-19.1809 - 84.0371i) q^{23} +(-2.99584 + 13.1256i) q^{24} +(18.2217 - 22.8492i) q^{25} +(259.949 + 125.185i) q^{26} +(-15.4635 - 7.44683i) q^{27} +(-13.0114 + 57.0066i) q^{28} +(48.6360 + 60.9876i) q^{29} +(-17.6484 + 8.49903i) q^{30} +(-64.7237 - 81.1609i) q^{31} +(9.76017 + 42.7621i) q^{32} +(2.79259 + 1.34484i) q^{33} +(106.401 + 466.171i) q^{34} +(-39.5661 + 19.0540i) q^{35} -444.782 q^{36} +433.942 q^{37} +(582.448 - 280.492i) q^{38} +(4.12736 - 18.0832i) q^{39} +(-327.367 + 410.505i) q^{40} +(-165.335 - 207.323i) q^{41} +5.57768 q^{42} +(41.8303 - 278.850i) q^{43} +160.951 q^{44} +(-208.275 - 261.168i) q^{45} +(-266.211 + 333.818i) q^{46} +(-114.782 + 502.893i) q^{47} +(22.1312 - 10.6578i) q^{48} -330.495 q^{49} -144.763 q^{50} +(27.6953 - 13.3374i) q^{51} +(-214.323 - 939.012i) q^{52} +(128.168 + 61.7227i) q^{53} +(18.9176 + 82.8836i) q^{54} +(75.3673 + 94.5076i) q^{55} +(134.701 - 64.8688i) q^{56} +(-25.9119 - 32.4925i) q^{57} +(85.9799 - 376.703i) q^{58} +(397.521 + 191.436i) q^{59} +(58.9150 + 28.3720i) q^{60} +(290.545 - 364.332i) q^{61} +(-114.420 + 501.307i) q^{62} +(21.1659 + 92.7337i) q^{63} +(-249.303 + 312.616i) q^{64} +(451.012 - 565.551i) q^{65} +(-3.41637 - 14.9681i) q^{66} +(-99.1024 + 434.196i) q^{67} +(995.228 - 1247.98i) q^{68} +(24.7303 + 11.9095i) q^{69} +(195.984 + 94.3809i) q^{70} +(-217.825 + 954.353i) q^{71} +(709.065 + 889.140i) q^{72} +(25.6072 - 12.3318i) q^{73} +(-1340.17 - 1680.52i) q^{74} +(2.07086 + 9.07302i) q^{75} +(-1944.36 - 936.355i) q^{76} +(-7.65918 - 33.5570i) q^{77} +(-82.7769 + 39.8633i) q^{78} +6.16526 q^{79} +957.971 q^{80} +(-649.415 + 312.742i) q^{81} +(-292.282 + 1280.57i) q^{82} +(-482.260 + 604.735i) q^{83} +(-11.6092 - 14.5575i) q^{84} +1198.82 q^{85} +(-1209.08 + 699.192i) q^{86} -24.8399 q^{87} +(-256.586 - 321.748i) q^{88} +(-11.2455 + 14.1014i) q^{89} +(-368.193 + 1613.16i) q^{90} +(-185.578 + 89.3696i) q^{91} +1425.33 q^{92} +33.0563 q^{93} +(2302.03 - 1108.60i) q^{94} +(-360.660 - 1580.16i) q^{95} +(-12.5840 - 6.06011i) q^{96} +(-326.670 - 1431.24i) q^{97} +(1020.69 + 1279.90i) q^{98} +(235.893 - 113.600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.08835 3.87267i −1.09190 1.36920i −0.923554 0.383468i \(-0.874730\pi\)
−0.168344 0.985728i \(-0.553842\pi\)
\(3\) −0.198541 + 0.248963i −0.0382092 + 0.0479129i −0.800569 0.599241i \(-0.795469\pi\)
0.762360 + 0.647153i \(0.224041\pi\)
\(4\) −3.67950 + 16.1209i −0.459937 + 2.01512i
\(5\) −11.1889 + 5.38829i −1.00077 + 0.481944i −0.861198 0.508269i \(-0.830286\pi\)
−0.139568 + 0.990213i \(0.544571\pi\)
\(6\) 1.57731 0.107323
\(7\) 3.53619 0.190936 0.0954681 0.995432i \(-0.469565\pi\)
0.0954681 + 0.995432i \(0.469565\pi\)
\(8\) 38.0923 18.3443i 1.68346 0.810710i
\(9\) 5.98550 + 26.2242i 0.221685 + 0.971266i
\(10\) 55.4224 + 26.6900i 1.75261 + 0.844012i
\(11\) −2.16594 9.48961i −0.0593687 0.260111i 0.936530 0.350588i \(-0.114018\pi\)
−0.995899 + 0.0904764i \(0.971161\pi\)
\(12\) −3.28298 4.11672i −0.0789762 0.0990330i
\(13\) −52.4796 + 25.2729i −1.11963 + 0.539187i −0.899779 0.436346i \(-0.856272\pi\)
−0.219854 + 0.975533i \(0.570558\pi\)
\(14\) −10.9210 13.6945i −0.208483 0.261429i
\(15\) 0.879973 3.85541i 0.0151472 0.0663643i
\(16\) −69.4999 33.4694i −1.08594 0.522960i
\(17\) −86.9732 41.8841i −1.24083 0.597552i −0.305791 0.952099i \(-0.598921\pi\)
−0.935038 + 0.354547i \(0.884635\pi\)
\(18\) 83.0724 104.169i 1.08780 1.36405i
\(19\) −29.0416 + 127.240i −0.350663 + 1.53636i 0.424991 + 0.905198i \(0.360277\pi\)
−0.775654 + 0.631158i \(0.782580\pi\)
\(20\) −45.6948 200.202i −0.510883 2.23832i
\(21\) −0.702078 + 0.880378i −0.00729552 + 0.00914830i
\(22\) −30.0610 + 37.6953i −0.291319 + 0.365303i
\(23\) −19.1809 84.0371i −0.173891 0.761867i −0.984372 0.176102i \(-0.943651\pi\)
0.810481 0.585765i \(-0.199206\pi\)
\(24\) −2.99584 + 13.1256i −0.0254802 + 0.111636i
\(25\) 18.2217 22.8492i 0.145773 0.182794i
\(26\) 259.949 + 125.185i 1.96078 + 0.944261i
\(27\) −15.4635 7.44683i −0.110221 0.0530794i
\(28\) −13.0114 + 57.0066i −0.0878186 + 0.384759i
\(29\) 48.6360 + 60.9876i 0.311430 + 0.390521i 0.912771 0.408471i \(-0.133938\pi\)
−0.601341 + 0.798993i \(0.705367\pi\)
\(30\) −17.6484 + 8.49903i −0.107405 + 0.0517235i
\(31\) −64.7237 81.1609i −0.374991 0.470224i 0.558147 0.829742i \(-0.311512\pi\)
−0.933138 + 0.359518i \(0.882941\pi\)
\(32\) 9.76017 + 42.7621i 0.0539178 + 0.236229i
\(33\) 2.79259 + 1.34484i 0.0147311 + 0.00709413i
\(34\) 106.401 + 466.171i 0.536693 + 2.35140i
\(35\) −39.5661 + 19.0540i −0.191082 + 0.0920204i
\(36\) −444.782 −2.05918
\(37\) 433.942 1.92810 0.964050 0.265721i \(-0.0856100\pi\)
0.964050 + 0.265721i \(0.0856100\pi\)
\(38\) 582.448 280.492i 2.48646 1.19742i
\(39\) 4.12736 18.0832i 0.0169463 0.0742468i
\(40\) −327.367 + 410.505i −1.29403 + 1.62266i
\(41\) −165.335 207.323i −0.629778 0.789717i 0.359905 0.932989i \(-0.382809\pi\)
−0.989683 + 0.143272i \(0.954238\pi\)
\(42\) 5.57768 0.0204918
\(43\) 41.8303 278.850i 0.148350 0.988935i
\(44\) 160.951 0.551461
\(45\) −208.275 261.168i −0.689951 0.865171i
\(46\) −266.211 + 333.818i −0.853275 + 1.06997i
\(47\) −114.782 + 502.893i −0.356227 + 1.56073i 0.406277 + 0.913750i \(0.366827\pi\)
−0.762504 + 0.646984i \(0.776030\pi\)
\(48\) 22.1312 10.6578i 0.0665493 0.0320485i
\(49\) −330.495 −0.963543
\(50\) −144.763 −0.409450
\(51\) 27.6953 13.3374i 0.0760415 0.0366197i
\(52\) −214.323 939.012i −0.571564 2.50418i
\(53\) 128.168 + 61.7227i 0.332175 + 0.159967i 0.592535 0.805544i \(-0.298127\pi\)
−0.260360 + 0.965512i \(0.583841\pi\)
\(54\) 18.9176 + 82.8836i 0.0476734 + 0.208871i
\(55\) 75.3673 + 94.5076i 0.184773 + 0.231698i
\(56\) 134.701 64.8688i 0.321433 0.154794i
\(57\) −25.9119 32.4925i −0.0602126 0.0755042i
\(58\) 85.9799 376.703i 0.194650 0.852818i
\(59\) 397.521 + 191.436i 0.877167 + 0.422421i 0.817589 0.575802i \(-0.195310\pi\)
0.0595782 + 0.998224i \(0.481024\pi\)
\(60\) 58.9150 + 28.3720i 0.126765 + 0.0610468i
\(61\) 290.545 364.332i 0.609844 0.764721i −0.377032 0.926200i \(-0.623055\pi\)
0.986876 + 0.161480i \(0.0516266\pi\)
\(62\) −114.420 + 501.307i −0.234377 + 1.02687i
\(63\) 21.1659 + 92.7337i 0.0423277 + 0.185450i
\(64\) −249.303 + 312.616i −0.486920 + 0.610578i
\(65\) 451.012 565.551i 0.860633 1.07920i
\(66\) −3.41637 14.9681i −0.00637161 0.0279159i
\(67\) −99.1024 + 434.196i −0.180706 + 0.791724i 0.800589 + 0.599214i \(0.204520\pi\)
−0.981295 + 0.192510i \(0.938337\pi\)
\(68\) 995.228 1247.98i 1.77484 2.22558i
\(69\) 24.7303 + 11.9095i 0.0431475 + 0.0207787i
\(70\) 195.984 + 94.3809i 0.334636 + 0.161152i
\(71\) −217.825 + 954.353i −0.364099 + 1.59522i 0.378575 + 0.925571i \(0.376414\pi\)
−0.742674 + 0.669653i \(0.766443\pi\)
\(72\) 709.065 + 889.140i 1.16061 + 1.45536i
\(73\) 25.6072 12.3318i 0.0410561 0.0197716i −0.413243 0.910621i \(-0.635604\pi\)
0.454299 + 0.890849i \(0.349890\pi\)
\(74\) −1340.17 1680.52i −2.10529 2.63995i
\(75\) 2.07086 + 9.07302i 0.00318830 + 0.0139688i
\(76\) −1944.36 936.355i −2.93465 1.41325i
\(77\) −7.65918 33.5570i −0.0113356 0.0496647i
\(78\) −82.7769 + 39.8633i −0.120162 + 0.0578670i
\(79\) 6.16526 0.00878033 0.00439017 0.999990i \(-0.498603\pi\)
0.00439017 + 0.999990i \(0.498603\pi\)
\(80\) 957.971 1.33881
\(81\) −649.415 + 312.742i −0.890831 + 0.429001i
\(82\) −292.282 + 1280.57i −0.393624 + 1.72458i
\(83\) −482.260 + 604.735i −0.637770 + 0.799738i −0.990722 0.135903i \(-0.956606\pi\)
0.352952 + 0.935641i \(0.385178\pi\)
\(84\) −11.6092 14.5575i −0.0150794 0.0189090i
\(85\) 1198.82 1.52977
\(86\) −1209.08 + 699.192i −1.51603 + 0.876695i
\(87\) −24.8399 −0.0306105
\(88\) −256.586 321.748i −0.310820 0.389756i
\(89\) −11.2455 + 14.1014i −0.0133935 + 0.0167949i −0.788483 0.615056i \(-0.789133\pi\)
0.775090 + 0.631851i \(0.217705\pi\)
\(90\) −368.193 + 1613.16i −0.431233 + 1.88936i
\(91\) −185.578 + 89.3696i −0.213778 + 0.102950i
\(92\) 1425.33 1.61523
\(93\) 33.0563 0.0368579
\(94\) 2302.03 1108.60i 2.52591 1.21642i
\(95\) −360.660 1580.16i −0.389505 1.70653i
\(96\) −12.5840 6.06011i −0.0133786 0.00644279i
\(97\) −326.670 1431.24i −0.341942 1.49814i −0.794971 0.606648i \(-0.792514\pi\)
0.453029 0.891496i \(-0.350343\pi\)
\(98\) 1020.69 + 1279.90i 1.05209 + 1.31928i
\(99\) 235.893 113.600i 0.239476 0.115326i
\(100\) 301.305 + 377.824i 0.301305 + 0.377824i
\(101\) −101.911 + 446.503i −0.100402 + 0.439888i 0.899593 + 0.436728i \(0.143863\pi\)
−0.999995 + 0.00315955i \(0.998994\pi\)
\(102\) −137.184 66.0644i −0.133169 0.0641309i
\(103\) 1566.57 + 754.418i 1.49862 + 0.721699i 0.990232 0.139427i \(-0.0445260\pi\)
0.508392 + 0.861126i \(0.330240\pi\)
\(104\) −1535.46 + 1925.40i −1.44773 + 1.81540i
\(105\) 3.11175 13.6335i 0.00289215 0.0126713i
\(106\) −156.798 686.976i −0.143675 0.629481i
\(107\) −8.23050 + 10.3207i −0.00743619 + 0.00932469i −0.785536 0.618816i \(-0.787612\pi\)
0.778099 + 0.628141i \(0.216184\pi\)
\(108\) 176.948 221.886i 0.157656 0.197694i
\(109\) 241.960 + 1060.10i 0.212620 + 0.931548i 0.962779 + 0.270290i \(0.0871197\pi\)
−0.750159 + 0.661257i \(0.770023\pi\)
\(110\) 133.236 583.746i 0.115487 0.505982i
\(111\) −86.1554 + 108.035i −0.0736712 + 0.0923808i
\(112\) −245.765 118.354i −0.207345 0.0998519i
\(113\) −360.367 173.543i −0.300004 0.144474i 0.277826 0.960631i \(-0.410386\pi\)
−0.577830 + 0.816157i \(0.696100\pi\)
\(114\) −45.8077 + 200.697i −0.0376341 + 0.164886i
\(115\) 667.430 + 836.931i 0.541202 + 0.678645i
\(116\) −1162.13 + 559.654i −0.930184 + 0.447953i
\(117\) −976.877 1224.97i −0.771900 0.967933i
\(118\) −486.317 2130.69i −0.379399 1.66226i
\(119\) −307.553 148.110i −0.236919 0.114094i
\(120\) −37.2046 163.004i −0.0283025 0.124001i
\(121\) 1113.83 536.391i 0.836836 0.402999i
\(122\) −2308.25 −1.71294
\(123\) 84.4413 0.0619010
\(124\) 1546.54 744.775i 1.12003 0.539377i
\(125\) 264.667 1159.58i 0.189380 0.829729i
\(126\) 293.759 368.363i 0.207700 0.260447i
\(127\) −583.311 731.449i −0.407563 0.511068i 0.535112 0.844781i \(-0.320270\pi\)
−0.942675 + 0.333714i \(0.891698\pi\)
\(128\) 2331.49 1.60997
\(129\) 61.1181 + 65.7773i 0.0417144 + 0.0448943i
\(130\) −3583.08 −2.41736
\(131\) 83.0414 + 104.131i 0.0553844 + 0.0694499i 0.808752 0.588150i \(-0.200143\pi\)
−0.753368 + 0.657599i \(0.771572\pi\)
\(132\) −31.9554 + 40.0708i −0.0210709 + 0.0264221i
\(133\) −102.697 + 449.943i −0.0669543 + 0.293346i
\(134\) 1987.56 957.159i 1.28134 0.617060i
\(135\) 213.145 0.135886
\(136\) −4081.34 −2.57332
\(137\) −469.186 + 225.948i −0.292593 + 0.140905i −0.574422 0.818559i \(-0.694773\pi\)
0.281829 + 0.959465i \(0.409059\pi\)
\(138\) −30.2544 132.553i −0.0186625 0.0817657i
\(139\) −1627.36 783.697i −0.993029 0.478218i −0.134462 0.990919i \(-0.542931\pi\)
−0.858567 + 0.512701i \(0.828645\pi\)
\(140\) −161.585 707.951i −0.0975460 0.427377i
\(141\) −102.413 128.421i −0.0611680 0.0767023i
\(142\) 4368.62 2103.81i 2.58173 1.24330i
\(143\) 353.498 + 443.272i 0.206720 + 0.259219i
\(144\) 461.716 2022.91i 0.267197 1.17067i
\(145\) −872.803 420.320i −0.499878 0.240729i
\(146\) −126.841 61.0833i −0.0719002 0.0346253i
\(147\) 65.6169 82.2810i 0.0368163 0.0461661i
\(148\) −1596.69 + 6995.56i −0.886805 + 3.88535i
\(149\) 295.378 + 1294.14i 0.162405 + 0.711542i 0.988898 + 0.148596i \(0.0474752\pi\)
−0.826493 + 0.562947i \(0.809668\pi\)
\(150\) 28.7413 36.0405i 0.0156448 0.0196179i
\(151\) −992.249 + 1244.24i −0.534756 + 0.670562i −0.973669 0.227967i \(-0.926792\pi\)
0.438913 + 0.898529i \(0.355364\pi\)
\(152\) 1227.86 + 5379.59i 0.655213 + 2.87068i
\(153\) 577.798 2531.50i 0.305309 1.33764i
\(154\) −106.301 + 133.297i −0.0556233 + 0.0697495i
\(155\) 1161.51 + 559.352i 0.601899 + 0.289859i
\(156\) 276.331 + 133.074i 0.141822 + 0.0682977i
\(157\) −154.435 + 676.625i −0.0785049 + 0.343952i −0.998892 0.0470553i \(-0.985016\pi\)
0.920387 + 0.391008i \(0.127873\pi\)
\(158\) −19.0405 23.8760i −0.00958722 0.0120220i
\(159\) −40.8133 + 19.6547i −0.0203566 + 0.00980324i
\(160\) −339.620 425.870i −0.167808 0.210425i
\(161\) −67.8273 297.171i −0.0332021 0.145468i
\(162\) 3216.77 + 1549.12i 1.56008 + 0.751296i
\(163\) 503.613 + 2206.47i 0.242000 + 1.06027i 0.939194 + 0.343388i \(0.111575\pi\)
−0.697194 + 0.716883i \(0.745568\pi\)
\(164\) 3950.59 1902.50i 1.88103 0.905857i
\(165\) −38.4924 −0.0181614
\(166\) 3831.33 1.79138
\(167\) −780.848 + 376.036i −0.361819 + 0.174243i −0.605957 0.795498i \(-0.707210\pi\)
0.244137 + 0.969741i \(0.421495\pi\)
\(168\) −10.5939 + 46.4147i −0.00486508 + 0.0213153i
\(169\) 745.588 934.938i 0.339366 0.425552i
\(170\) −3702.37 4642.63i −1.67035 2.09455i
\(171\) −3510.58 −1.56995
\(172\) 4341.41 + 1700.37i 1.92459 + 0.753791i
\(173\) −2626.97 −1.15448 −0.577240 0.816575i \(-0.695870\pi\)
−0.577240 + 0.816575i \(0.695870\pi\)
\(174\) 76.7143 + 96.1967i 0.0334235 + 0.0419118i
\(175\) 64.4352 80.7992i 0.0278334 0.0349020i
\(176\) −167.079 + 732.020i −0.0715571 + 0.313512i
\(177\) −126.585 + 60.9600i −0.0537553 + 0.0258872i
\(178\) 89.3403 0.0376199
\(179\) 609.964 0.254698 0.127349 0.991858i \(-0.459353\pi\)
0.127349 + 0.991858i \(0.459353\pi\)
\(180\) 4976.63 2396.62i 2.06075 0.992407i
\(181\) 326.443 + 1430.24i 0.134057 + 0.587341i 0.996675 + 0.0814850i \(0.0259663\pi\)
−0.862618 + 0.505856i \(0.831177\pi\)
\(182\) 919.229 + 442.677i 0.374383 + 0.180294i
\(183\) 33.0199 + 144.670i 0.0133383 + 0.0584388i
\(184\) −2272.25 2849.31i −0.910392 1.14160i
\(185\) −4855.34 + 2338.21i −1.92958 + 0.929235i
\(186\) −102.090 128.016i −0.0402450 0.0504657i
\(187\) −209.085 + 916.060i −0.0817636 + 0.358230i
\(188\) −7684.77 3700.79i −2.98122 1.43568i
\(189\) −54.6819 26.3334i −0.0210451 0.0101348i
\(190\) −5005.58 + 6276.80i −1.91128 + 2.39667i
\(191\) −142.559 + 624.593i −0.0540064 + 0.236618i −0.994726 0.102568i \(-0.967294\pi\)
0.940720 + 0.339185i \(0.110151\pi\)
\(192\) −28.3328 124.134i −0.0106497 0.0466594i
\(193\) 127.997 160.504i 0.0477381 0.0598617i −0.757389 0.652964i \(-0.773525\pi\)
0.805127 + 0.593102i \(0.202097\pi\)
\(194\) −4533.83 + 5685.25i −1.67789 + 2.10400i
\(195\) 51.2567 + 224.570i 0.0188234 + 0.0824708i
\(196\) 1216.06 5327.89i 0.443170 1.94165i
\(197\) 2335.81 2929.02i 0.844771 1.05931i −0.152703 0.988272i \(-0.548798\pi\)
0.997474 0.0710372i \(-0.0226309\pi\)
\(198\) −1168.46 562.700i −0.419387 0.201966i
\(199\) −150.181 72.3233i −0.0534977 0.0257631i 0.406944 0.913453i \(-0.366595\pi\)
−0.460441 + 0.887690i \(0.652309\pi\)
\(200\) 274.952 1204.64i 0.0972102 0.425906i
\(201\) −88.4227 110.878i −0.0310291 0.0389093i
\(202\) 2043.90 984.289i 0.711921 0.342843i
\(203\) 171.986 + 215.664i 0.0594633 + 0.0745646i
\(204\) 113.106 + 495.549i 0.0388186 + 0.170075i
\(205\) 2967.03 + 1428.85i 1.01086 + 0.486805i
\(206\) −1916.49 8396.70i −0.648196 2.83993i
\(207\) 2089.00 1006.01i 0.701427 0.337790i
\(208\) 4493.20 1.49782
\(209\) 1270.36 0.420442
\(210\) −62.4081 + 30.0542i −0.0205075 + 0.00987588i
\(211\) 1105.74 4844.58i 0.360770 1.58064i −0.390473 0.920614i \(-0.627689\pi\)
0.751244 0.660025i \(-0.229454\pi\)
\(212\) −1466.62 + 1839.09i −0.475132 + 0.595797i
\(213\) −194.351 243.708i −0.0625198 0.0783973i
\(214\) 65.3875 0.0208869
\(215\) 1034.49 + 3345.42i 0.328147 + 1.06119i
\(216\) −725.647 −0.228584
\(217\) −228.875 287.000i −0.0715993 0.0897827i
\(218\) 3358.14 4210.98i 1.04331 1.30827i
\(219\) −2.01393 + 8.82359i −0.000621409 + 0.00272257i
\(220\) −1800.87 + 867.251i −0.551883 + 0.265773i
\(221\) 5622.85 1.71147
\(222\) 684.464 0.206929
\(223\) −3878.16 + 1867.63i −1.16458 + 0.560832i −0.913382 0.407104i \(-0.866539\pi\)
−0.251197 + 0.967936i \(0.580824\pi\)
\(224\) 34.5138 + 151.215i 0.0102949 + 0.0451047i
\(225\) 708.269 + 341.084i 0.209857 + 0.101062i
\(226\) 440.863 + 1931.55i 0.129760 + 0.568516i
\(227\) 711.670 + 892.406i 0.208085 + 0.260930i 0.874911 0.484283i \(-0.160919\pi\)
−0.666827 + 0.745213i \(0.732348\pi\)
\(228\) 619.153 298.168i 0.179844 0.0866083i
\(229\) 1370.78 + 1718.90i 0.395562 + 0.496019i 0.939234 0.343279i \(-0.111538\pi\)
−0.543671 + 0.839298i \(0.682966\pi\)
\(230\) 1179.90 5169.48i 0.338262 1.48202i
\(231\) 9.87511 + 4.75560i 0.00281270 + 0.00135453i
\(232\) 2971.43 + 1430.97i 0.840879 + 0.404946i
\(233\) −1744.84 + 2187.95i −0.490592 + 0.615183i −0.964078 0.265618i \(-0.914424\pi\)
0.473486 + 0.880801i \(0.342995\pi\)
\(234\) −1726.95 + 7566.25i −0.482453 + 2.11377i
\(235\) −1425.45 6245.30i −0.395685 1.73361i
\(236\) −4548.81 + 5704.03i −1.25467 + 1.57331i
\(237\) −1.22406 + 1.53492i −0.000335490 + 0.000420691i
\(238\) 376.252 + 1648.47i 0.102474 + 0.448968i
\(239\) −428.350 + 1876.72i −0.115932 + 0.507930i 0.883303 + 0.468803i \(0.155315\pi\)
−0.999234 + 0.0391265i \(0.987542\pi\)
\(240\) −190.197 + 238.499i −0.0511547 + 0.0641460i
\(241\) −269.739 129.899i −0.0720971 0.0347202i 0.397488 0.917607i \(-0.369882\pi\)
−0.469585 + 0.882887i \(0.655596\pi\)
\(242\) −5517.16 2656.93i −1.46552 0.705759i
\(243\) 154.192 675.560i 0.0407055 0.178342i
\(244\) 4804.32 + 6024.42i 1.26051 + 1.58063i
\(245\) 3697.88 1780.81i 0.964282 0.464374i
\(246\) −260.785 327.014i −0.0675895 0.0847546i
\(247\) −1691.62 7411.45i −0.435769 1.90923i
\(248\) −3954.31 1904.30i −1.01250 0.487592i
\(249\) −54.8079 240.129i −0.0139490 0.0611147i
\(250\) −5308.06 + 2556.23i −1.34285 + 0.646680i
\(251\) 4016.43 1.01002 0.505010 0.863114i \(-0.331489\pi\)
0.505010 + 0.863114i \(0.331489\pi\)
\(252\) −1572.83 −0.393171
\(253\) −755.935 + 364.039i −0.187847 + 0.0904622i
\(254\) −1031.19 + 4517.95i −0.254735 + 1.11607i
\(255\) −238.015 + 298.461i −0.0584512 + 0.0732955i
\(256\) −5206.04 6528.16i −1.27101 1.59379i
\(257\) −3740.00 −0.907762 −0.453881 0.891062i \(-0.649961\pi\)
−0.453881 + 0.891062i \(0.649961\pi\)
\(258\) 65.9795 439.834i 0.0159213 0.106135i
\(259\) 1534.50 0.368144
\(260\) 7457.72 + 9351.68i 1.77888 + 2.23064i
\(261\) −1308.24 + 1640.48i −0.310261 + 0.389055i
\(262\) 146.803 643.184i 0.0346164 0.151664i
\(263\) 5363.35 2582.85i 1.25748 0.605572i 0.317976 0.948099i \(-0.396997\pi\)
0.939508 + 0.342526i \(0.111283\pi\)
\(264\) 131.046 0.0305505
\(265\) −1766.64 −0.409525
\(266\) 2059.64 991.872i 0.474755 0.228630i
\(267\) −1.27803 5.59942i −0.000292937 0.00128344i
\(268\) −6635.00 3195.25i −1.51230 0.728286i
\(269\) −197.382 864.788i −0.0447383 0.196011i 0.947620 0.319399i \(-0.103481\pi\)
−0.992358 + 0.123388i \(0.960624\pi\)
\(270\) −658.268 825.443i −0.148374 0.186055i
\(271\) 7779.45 3746.39i 1.74379 0.839767i 0.762566 0.646910i \(-0.223939\pi\)
0.981227 0.192857i \(-0.0617753\pi\)
\(272\) 4642.80 + 5821.88i 1.03497 + 1.29781i
\(273\) 14.5951 63.9454i 0.00323567 0.0141764i
\(274\) 2324.04 + 1119.20i 0.512409 + 0.246763i
\(275\) −256.298 123.426i −0.0562012 0.0270651i
\(276\) −282.987 + 354.855i −0.0617167 + 0.0773903i
\(277\) 1564.87 6856.13i 0.339436 1.48717i −0.460813 0.887497i \(-0.652442\pi\)
0.800249 0.599668i \(-0.204701\pi\)
\(278\) 1990.87 + 8722.57i 0.429513 + 1.88182i
\(279\) 1740.98 2183.12i 0.373582 0.468458i
\(280\) −1157.63 + 1451.62i −0.247077 + 0.309825i
\(281\) 1454.95 + 6374.55i 0.308879 + 1.35329i 0.856321 + 0.516443i \(0.172744\pi\)
−0.547442 + 0.836843i \(0.684399\pi\)
\(282\) −181.047 + 793.221i −0.0382313 + 0.167502i
\(283\) −3317.98 + 4160.61i −0.696938 + 0.873932i −0.996791 0.0800532i \(-0.974491\pi\)
0.299853 + 0.953985i \(0.403062\pi\)
\(284\) −14583.6 7023.08i −3.04710 1.46741i
\(285\) 465.005 + 223.935i 0.0966475 + 0.0465430i
\(286\) 624.922 2737.96i 0.129204 0.566080i
\(287\) −584.654 733.133i −0.120247 0.150786i
\(288\) −1062.98 + 511.905i −0.217489 + 0.104737i
\(289\) 2746.85 + 3444.44i 0.559099 + 0.701088i
\(290\) 1067.76 + 4678.17i 0.216211 + 0.947282i
\(291\) 421.181 + 202.830i 0.0848457 + 0.0408595i
\(292\) 104.578 + 458.186i 0.0209588 + 0.0918264i
\(293\) −8740.08 + 4209.00i −1.74267 + 0.839223i −0.760965 + 0.648793i \(0.775274\pi\)
−0.981701 + 0.190430i \(0.939012\pi\)
\(294\) −521.295 −0.103410
\(295\) −5479.34 −1.08142
\(296\) 16529.9 7960.36i 3.24587 1.56313i
\(297\) −37.1745 + 162.872i −0.00726291 + 0.0318209i
\(298\) 4099.53 5140.65i 0.796912 0.999295i
\(299\) 3130.47 + 3925.48i 0.605483 + 0.759252i
\(300\) −153.885 −0.0296152
\(301\) 147.920 986.065i 0.0283254 0.188823i
\(302\) 7882.95 1.50203
\(303\) −90.9288 114.021i −0.0172400 0.0216183i
\(304\) 6277.02 7871.14i 1.18425 1.48500i
\(305\) −1287.75 + 5642.02i −0.241759 + 1.05922i
\(306\) −11588.1 + 5580.54i −2.16486 + 1.04254i
\(307\) 917.394 0.170549 0.0852743 0.996358i \(-0.472823\pi\)
0.0852743 + 0.996358i \(0.472823\pi\)
\(308\) 569.153 0.105294
\(309\) −498.849 + 240.233i −0.0918399 + 0.0442278i
\(310\) −1420.95 6225.61i −0.260338 1.14062i
\(311\) −1837.76 885.020i −0.335080 0.161366i 0.258776 0.965937i \(-0.416681\pi\)
−0.593856 + 0.804571i \(0.702395\pi\)
\(312\) −174.502 764.543i −0.0316642 0.138730i
\(313\) 635.478 + 796.864i 0.114758 + 0.143902i 0.835893 0.548893i \(-0.184950\pi\)
−0.721135 + 0.692795i \(0.756379\pi\)
\(314\) 3097.30 1491.58i 0.556658 0.268072i
\(315\) −736.499 923.540i −0.131737 0.165192i
\(316\) −22.6851 + 99.3898i −0.00403840 + 0.0176934i
\(317\) 180.839 + 87.0874i 0.0320408 + 0.0154300i 0.449836 0.893111i \(-0.351483\pi\)
−0.417795 + 0.908541i \(0.637197\pi\)
\(318\) 202.162 + 97.3561i 0.0356499 + 0.0171681i
\(319\) 473.406 593.632i 0.0830898 0.104191i
\(320\) 1104.96 4841.15i 0.193029 0.845714i
\(321\) −0.935381 4.09817i −0.000162641 0.000712579i
\(322\) −941.371 + 1180.44i −0.162921 + 0.204296i
\(323\) 7855.15 9850.05i 1.35316 1.69682i
\(324\) −2652.17 11619.9i −0.454762 1.99244i
\(325\) −378.801 + 1659.63i −0.0646525 + 0.283261i
\(326\) 6989.61 8764.69i 1.18748 1.48905i
\(327\) −311.963 150.233i −0.0527572 0.0254065i
\(328\) −10101.2 4864.46i −1.70044 0.818887i
\(329\) −405.891 + 1778.32i −0.0680167 + 0.298000i
\(330\) 118.878 + 149.068i 0.0198304 + 0.0248665i
\(331\) −10756.9 + 5180.23i −1.78626 + 0.860216i −0.836011 + 0.548713i \(0.815118\pi\)
−0.950245 + 0.311503i \(0.899168\pi\)
\(332\) −7974.41 9999.60i −1.31823 1.65301i
\(333\) 2597.36 + 11379.8i 0.427431 + 1.87270i
\(334\) 3867.80 + 1862.63i 0.633642 + 0.305146i
\(335\) −1230.73 5392.17i −0.200722 0.879420i
\(336\) 78.2601 37.6881i 0.0127067 0.00611921i
\(337\) −9933.49 −1.60567 −0.802837 0.596199i \(-0.796677\pi\)
−0.802837 + 0.596199i \(0.796677\pi\)
\(338\) −5923.35 −0.953218
\(339\) 114.753 55.2623i 0.0183851 0.00885380i
\(340\) −4411.05 + 19326.1i −0.703596 + 3.08266i
\(341\) −629.998 + 789.992i −0.100048 + 0.125456i
\(342\) 10841.9 + 13595.3i 1.71422 + 2.14957i
\(343\) −2381.61 −0.374911
\(344\) −3521.89 11389.4i −0.551999 1.78510i
\(345\) −340.877 −0.0531947
\(346\) 8113.02 + 10173.4i 1.26057 + 1.58071i
\(347\) −2424.21 + 3039.86i −0.375038 + 0.470283i −0.933152 0.359481i \(-0.882954\pi\)
0.558114 + 0.829764i \(0.311525\pi\)
\(348\) 91.3982 400.442i 0.0140789 0.0616837i
\(349\) 1764.61 849.793i 0.270652 0.130339i −0.293635 0.955917i \(-0.594865\pi\)
0.564288 + 0.825578i \(0.309151\pi\)
\(350\) −511.908 −0.0781789
\(351\) 999.722 0.152026
\(352\) 384.656 185.240i 0.0582450 0.0280493i
\(353\) 624.316 + 2735.31i 0.0941331 + 0.412424i 0.999936 0.0112743i \(-0.00358880\pi\)
−0.905803 + 0.423698i \(0.860732\pi\)
\(354\) 627.016 + 301.955i 0.0941399 + 0.0453354i
\(355\) −2705.11 11851.9i −0.404429 1.77192i
\(356\) −185.950 233.174i −0.0276836 0.0347141i
\(357\) 97.9358 47.1634i 0.0145191 0.00699202i
\(358\) −1883.79 2362.19i −0.278104 0.348731i
\(359\) −1294.55 + 5671.81i −0.190317 + 0.833835i 0.786127 + 0.618065i \(0.212083\pi\)
−0.976444 + 0.215770i \(0.930774\pi\)
\(360\) −12724.6 6127.85i −1.86291 0.897128i
\(361\) −9166.74 4414.47i −1.33646 0.643603i
\(362\) 4530.67 5681.29i 0.657809 0.824867i
\(363\) −87.5992 + 383.797i −0.0126660 + 0.0554935i
\(364\) −757.888 3320.52i −0.109132 0.478139i
\(365\) −220.069 + 275.958i −0.0315587 + 0.0395734i
\(366\) 458.281 574.667i 0.0654501 0.0820719i
\(367\) −426.504 1868.63i −0.0606630 0.265782i 0.935497 0.353335i \(-0.114952\pi\)
−0.996160 + 0.0875531i \(0.972095\pi\)
\(368\) −1479.60 + 6482.55i −0.209591 + 0.918278i
\(369\) 4447.27 5576.70i 0.627413 0.786751i
\(370\) 24050.1 + 11581.9i 3.37921 + 1.62734i
\(371\) 453.228 + 218.263i 0.0634243 + 0.0305435i
\(372\) −121.631 + 532.899i −0.0169523 + 0.0742729i
\(373\) 4223.20 + 5295.73i 0.586245 + 0.735127i 0.983164 0.182726i \(-0.0584921\pi\)
−0.396919 + 0.917854i \(0.629921\pi\)
\(374\) 4193.33 2019.40i 0.579764 0.279200i
\(375\) 236.145 + 296.117i 0.0325186 + 0.0407770i
\(376\) 4852.90 + 21261.9i 0.665609 + 2.91623i
\(377\) −4093.73 1971.44i −0.559252 0.269321i
\(378\) 66.8963 + 293.092i 0.00910257 + 0.0398810i
\(379\) −6758.45 + 3254.70i −0.915985 + 0.441115i −0.831636 0.555321i \(-0.812595\pi\)
−0.0843492 + 0.996436i \(0.526881\pi\)
\(380\) 26800.6 3.61801
\(381\) 297.915 0.0400594
\(382\) 2859.12 1376.88i 0.382946 0.184417i
\(383\) −821.290 + 3598.31i −0.109572 + 0.480065i 0.890131 + 0.455704i \(0.150612\pi\)
−0.999703 + 0.0243614i \(0.992245\pi\)
\(384\) −462.896 + 580.453i −0.0615158 + 0.0771384i
\(385\) 266.513 + 334.197i 0.0352799 + 0.0442396i
\(386\) −1016.88 −0.134088
\(387\) 7562.99 572.091i 0.993406 0.0751448i
\(388\) 24274.8 3.17621
\(389\) 2152.44 + 2699.08i 0.280548 + 0.351796i 0.902062 0.431607i \(-0.142053\pi\)
−0.621514 + 0.783403i \(0.713482\pi\)
\(390\) 711.388 892.053i 0.0923655 0.115823i
\(391\) −1851.59 + 8112.35i −0.239486 + 1.04926i
\(392\) −12589.3 + 6062.70i −1.62208 + 0.781155i
\(393\) −42.4117 −0.00544374
\(394\) −18557.0 −2.37281
\(395\) −68.9825 + 33.2202i −0.00878706 + 0.00423162i
\(396\) 963.372 + 4220.81i 0.122251 + 0.535615i
\(397\) 5139.35 + 2474.98i 0.649714 + 0.312886i 0.729555 0.683922i \(-0.239727\pi\)
−0.0798414 + 0.996808i \(0.525441\pi\)
\(398\) 183.727 + 804.961i 0.0231392 + 0.101379i
\(399\) −91.6294 114.900i −0.0114968 0.0144165i
\(400\) −2031.16 + 978.153i −0.253894 + 0.122269i
\(401\) −6616.65 8297.02i −0.823989 1.03325i −0.998816 0.0486506i \(-0.984508\pi\)
0.174827 0.984599i \(-0.444063\pi\)
\(402\) −156.316 + 684.864i −0.0193938 + 0.0849699i
\(403\) 5447.84 + 2623.54i 0.673391 + 0.324288i
\(404\) −6823.06 3285.81i −0.840247 0.404642i
\(405\) 5581.10 6998.48i 0.684759 0.858660i
\(406\) 304.041 1332.09i 0.0371658 0.162834i
\(407\) −939.894 4117.95i −0.114469 0.501521i
\(408\) 810.313 1016.10i 0.0983247 0.123295i
\(409\) 5716.86 7168.72i 0.691151 0.866675i −0.305177 0.952296i \(-0.598716\pi\)
0.996328 + 0.0856201i \(0.0272871\pi\)
\(410\) −3629.78 15903.1i −0.437225 1.91561i
\(411\) 36.9001 161.670i 0.00442858 0.0194029i
\(412\) −17926.1 + 22478.6i −2.14358 + 2.68797i
\(413\) 1405.71 + 676.954i 0.167483 + 0.0806555i
\(414\) −10347.5 4983.10i −1.22839 0.591560i
\(415\) 2137.47 9364.87i 0.252830 1.10772i
\(416\) −1592.93 1997.47i −0.187740 0.235419i
\(417\) 518.209 249.556i 0.0608557 0.0293065i
\(418\) −3923.31 4919.67i −0.459080 0.575668i
\(419\) −2144.58 9396.00i −0.250046 1.09552i −0.931522 0.363684i \(-0.881519\pi\)
0.681476 0.731840i \(-0.261338\pi\)
\(420\) 208.335 + 100.329i 0.0242040 + 0.0116560i
\(421\) 1762.48 + 7721.92i 0.204033 + 0.893927i 0.968451 + 0.249206i \(0.0801695\pi\)
−0.764418 + 0.644722i \(0.776973\pi\)
\(422\) −22176.4 + 10679.6i −2.55813 + 1.23193i
\(423\) −13875.0 −1.59486
\(424\) 6014.49 0.688890
\(425\) −2541.82 + 1224.07i −0.290109 + 0.139709i
\(426\) −343.578 + 1505.31i −0.0390761 + 0.171204i
\(427\) 1027.42 1288.35i 0.116441 0.146013i
\(428\) −136.096 170.659i −0.0153702 0.0192736i
\(429\) −180.542 −0.0203185
\(430\) 9760.84 14338.1i 1.09467 1.60801i
\(431\) 11681.4 1.30550 0.652751 0.757572i \(-0.273615\pi\)
0.652751 + 0.757572i \(0.273615\pi\)
\(432\) 825.472 + 1035.11i 0.0919341 + 0.115282i
\(433\) 829.424 1040.06i 0.0920544 0.115433i −0.733671 0.679505i \(-0.762195\pi\)
0.825725 + 0.564072i \(0.190766\pi\)
\(434\) −404.611 + 1772.72i −0.0447510 + 0.196067i
\(435\) 277.931 133.844i 0.0306339 0.0147525i
\(436\) −17980.0 −1.97497
\(437\) 11249.9 1.23148
\(438\) 40.3906 19.4511i 0.00440625 0.00212194i
\(439\) 2134.68 + 9352.64i 0.232079 + 1.01680i 0.947912 + 0.318533i \(0.103190\pi\)
−0.715833 + 0.698272i \(0.753953\pi\)
\(440\) 4604.59 + 2217.45i 0.498898 + 0.240257i
\(441\) −1978.18 8666.98i −0.213603 0.935857i
\(442\) −17365.3 21775.5i −1.86875 2.34333i
\(443\) −8036.30 + 3870.08i −0.861887 + 0.415063i −0.811976 0.583691i \(-0.801608\pi\)
−0.0499112 + 0.998754i \(0.515894\pi\)
\(444\) −1424.62 1786.42i −0.152274 0.190945i
\(445\) 49.8423 218.374i 0.00530956 0.0232627i
\(446\) 19209.8 + 9250.97i 2.03949 + 0.982167i
\(447\) −380.836 183.401i −0.0402974 0.0194062i
\(448\) −881.582 + 1105.47i −0.0929706 + 0.116581i
\(449\) 3302.96 14471.2i 0.347163 1.52102i −0.436425 0.899741i \(-0.643756\pi\)
0.783588 0.621280i \(-0.213387\pi\)
\(450\) −866.477 3796.28i −0.0907691 0.397685i
\(451\) −1609.31 + 2018.01i −0.168025 + 0.210697i
\(452\) 4123.65 5170.90i 0.429116 0.538094i
\(453\) −112.767 494.066i −0.0116960 0.0512433i
\(454\) 1258.11 5512.13i 0.130057 0.569817i
\(455\) 1594.86 1999.90i 0.164326 0.206058i
\(456\) −1583.10 762.379i −0.162577 0.0782932i
\(457\) −12200.5 5875.47i −1.24883 0.601407i −0.311635 0.950202i \(-0.600877\pi\)
−0.937199 + 0.348795i \(0.886591\pi\)
\(458\) 2423.30 10617.2i 0.247234 1.08320i
\(459\) 1033.01 + 1295.35i 0.105047 + 0.131725i
\(460\) −15947.9 + 7680.11i −1.61647 + 0.778450i
\(461\) 7506.17 + 9412.44i 0.758345 + 0.950935i 0.999810 0.0194745i \(-0.00619933\pi\)
−0.241465 + 0.970410i \(0.577628\pi\)
\(462\) −12.0809 52.9300i −0.00121657 0.00533015i
\(463\) 11753.9 + 5660.40i 1.17981 + 0.568167i 0.917856 0.396914i \(-0.129919\pi\)
0.261954 + 0.965080i \(0.415633\pi\)
\(464\) −1338.98 5866.45i −0.133967 0.586947i
\(465\) −369.864 + 178.117i −0.0368861 + 0.0177634i
\(466\) 13861.9 1.37798
\(467\) 8743.50 0.866383 0.433192 0.901302i \(-0.357387\pi\)
0.433192 + 0.901302i \(0.357387\pi\)
\(468\) 23342.0 11240.9i 2.30552 1.11028i
\(469\) −350.445 + 1535.40i −0.0345033 + 0.151169i
\(470\) −19783.7 + 24808.0i −1.94161 + 2.43470i
\(471\) −137.793 172.786i −0.0134801 0.0169036i
\(472\) 18654.3 1.81913
\(473\) −2736.78 + 207.020i −0.266041 + 0.0201243i
\(474\) 9.72456 0.000942329
\(475\) 2378.14 + 2982.10i 0.229719 + 0.288059i
\(476\) 3519.31 4413.08i 0.338881 0.424943i
\(477\) −851.475 + 3730.56i −0.0817324 + 0.358093i
\(478\) 8590.83 4137.13i 0.822041 0.395874i
\(479\) −1878.47 −0.179185 −0.0895924 0.995979i \(-0.528556\pi\)
−0.0895924 + 0.995979i \(0.528556\pi\)
\(480\) 173.454 0.0164939
\(481\) −22773.1 + 10967.0i −2.15876 + 1.03961i
\(482\) 329.991 + 1445.79i 0.0311840 + 0.136626i
\(483\) 87.4509 + 42.1142i 0.00823842 + 0.00396741i
\(484\) 4548.80 + 19929.6i 0.427198 + 1.87168i
\(485\) 11367.0 + 14253.8i 1.06422 + 1.33450i
\(486\) −3092.42 + 1489.23i −0.288632 + 0.138998i
\(487\) −6315.58 7919.49i −0.587652 0.736892i 0.395745 0.918360i \(-0.370486\pi\)
−0.983397 + 0.181468i \(0.941915\pi\)
\(488\) 4384.12 19208.1i 0.406680 1.78178i
\(489\) −649.317 312.694i −0.0600473 0.0289172i
\(490\) −18316.8 8820.93i −1.68872 0.813242i
\(491\) 5636.17 7067.53i 0.518038 0.649599i −0.452153 0.891940i \(-0.649344\pi\)
0.970191 + 0.242341i \(0.0779154\pi\)
\(492\) −310.702 + 1361.27i −0.0284706 + 0.124738i
\(493\) −1675.62 7341.36i −0.153075 0.670666i
\(494\) −23477.8 + 29440.2i −2.13829 + 2.68133i
\(495\) −2027.28 + 2542.12i −0.184079 + 0.230828i
\(496\) 1781.88 + 7806.94i 0.161308 + 0.706738i
\(497\) −770.269 + 3374.77i −0.0695197 + 0.304586i
\(498\) −760.675 + 953.857i −0.0684472 + 0.0858300i
\(499\) 10178.9 + 4901.91i 0.913169 + 0.439759i 0.830627 0.556829i \(-0.187982\pi\)
0.0825416 + 0.996588i \(0.473696\pi\)
\(500\) 17719.7 + 8533.35i 1.58490 + 0.763246i
\(501\) 61.4113 269.060i 0.00547636 0.0239935i
\(502\) −12404.2 15554.3i −1.10284 1.38291i
\(503\) 7664.75 3691.15i 0.679432 0.327197i −0.0621428 0.998067i \(-0.519793\pi\)
0.741575 + 0.670870i \(0.234079\pi\)
\(504\) 2507.39 + 3144.16i 0.221603 + 0.277881i
\(505\) −1265.61 5545.00i −0.111523 0.488613i
\(506\) 3744.40 + 1803.21i 0.328970 + 0.158424i
\(507\) 84.7347 + 371.247i 0.00742248 + 0.0325200i
\(508\) 13937.9 6712.16i 1.21731 0.586228i
\(509\) 963.852 0.0839332 0.0419666 0.999119i \(-0.486638\pi\)
0.0419666 + 0.999119i \(0.486638\pi\)
\(510\) 1890.91 0.164179
\(511\) 90.5517 43.6074i 0.00783909 0.00377511i
\(512\) −5052.92 + 22138.3i −0.436152 + 1.91090i
\(513\) 1396.62 1751.30i 0.120199 0.150725i
\(514\) 11550.4 + 14483.8i 0.991183 + 1.24290i
\(515\) −21593.2 −1.84759
\(516\) −1285.28 + 743.254i −0.109653 + 0.0634107i
\(517\) 5020.87 0.427113
\(518\) −4739.08 5942.62i −0.401976 0.504061i
\(519\) 521.562 654.018i 0.0441118 0.0553144i
\(520\) 6805.45 29816.6i 0.573921 2.51451i
\(521\) −2023.94 + 974.680i −0.170193 + 0.0819607i −0.517041 0.855961i \(-0.672966\pi\)
0.346848 + 0.937922i \(0.387252\pi\)
\(522\) 10393.4 0.871465
\(523\) 5441.13 0.454921 0.227461 0.973787i \(-0.426958\pi\)
0.227461 + 0.973787i \(0.426958\pi\)
\(524\) −1984.23 + 955.557i −0.165423 + 0.0796635i
\(525\) 7.32294 + 32.0839i 0.000608761 + 0.00266716i
\(526\) −26566.5 12793.7i −2.20219 1.06052i
\(527\) 2229.87 + 9769.71i 0.184317 + 0.807543i
\(528\) −149.074 186.932i −0.0122871 0.0154076i
\(529\) 4267.76 2055.24i 0.350765 0.168920i
\(530\) 5456.02 + 6841.63i 0.447159 + 0.560720i
\(531\) −2640.90 + 11570.5i −0.215829 + 0.945608i
\(532\) −6875.63 3311.13i −0.560331 0.269841i
\(533\) 13916.3 + 6701.76i 1.13093 + 0.544625i
\(534\) −17.7377 + 22.2424i −0.00143743 + 0.00180248i
\(535\) 36.4792 159.826i 0.00294792 0.0129157i
\(536\) 4189.98 + 18357.5i 0.337648 + 1.47933i
\(537\) −121.103 + 151.858i −0.00973180 + 0.0122033i
\(538\) −2739.45 + 3435.17i −0.219528 + 0.275280i
\(539\) 715.834 + 3136.27i 0.0572044 + 0.250629i
\(540\) −784.268 + 3436.10i −0.0624991 + 0.273827i
\(541\) 5017.65 6291.93i 0.398753 0.500021i −0.541404 0.840763i \(-0.682107\pi\)
0.940157 + 0.340742i \(0.110678\pi\)
\(542\) −38534.2 18557.1i −3.05385 1.47066i
\(543\) −420.888 202.689i −0.0332634 0.0160188i
\(544\) 942.178 4127.95i 0.0742565 0.325339i
\(545\) −8419.37 10557.6i −0.661736 0.829791i
\(546\) −292.715 + 140.964i −0.0229433 + 0.0110489i
\(547\) −3555.93 4459.00i −0.277954 0.348543i 0.623185 0.782075i \(-0.285839\pi\)
−0.901138 + 0.433532i \(0.857267\pi\)
\(548\) −1916.13 8395.09i −0.149366 0.654417i
\(549\) 11293.4 + 5438.60i 0.877941 + 0.422794i
\(550\) 313.547 + 1373.74i 0.0243086 + 0.106503i
\(551\) −9172.50 + 4417.24i −0.709187 + 0.341526i
\(552\) 1160.50 0.0894825
\(553\) 21.8015 0.00167648
\(554\) −31384.4 + 15113.9i −2.40685 + 1.15908i
\(555\) 381.858 1673.03i 0.0292053 0.127957i
\(556\) 18621.8 23351.0i 1.42040 1.78112i
\(557\) −12874.1 16143.6i −0.979340 1.22805i −0.973645 0.228069i \(-0.926759\pi\)
−0.00569462 0.999984i \(-0.501813\pi\)
\(558\) −13831.2 −1.04932
\(559\) 4852.10 + 15691.1i 0.367123 + 1.18723i
\(560\) 3387.57 0.255626
\(561\) −186.553 233.930i −0.0140397 0.0176052i
\(562\) 20193.1 25321.4i 1.51565 1.90057i
\(563\) −2671.54 + 11704.8i −0.199986 + 0.876195i 0.770958 + 0.636886i \(0.219778\pi\)
−0.970943 + 0.239309i \(0.923079\pi\)
\(564\) 2447.10 1178.46i 0.182698 0.0879825i
\(565\) 4967.21 0.369862
\(566\) 26359.8 1.95757
\(567\) −2296.45 + 1105.91i −0.170092 + 0.0819119i
\(568\) 9209.47 + 40349.3i 0.680318 + 2.98067i
\(569\) −11158.0 5373.42i −0.822089 0.395897i −0.0249468 0.999689i \(-0.507942\pi\)
−0.797142 + 0.603792i \(0.793656\pi\)
\(570\) −568.875 2492.40i −0.0418027 0.183150i
\(571\) 3333.91 + 4180.58i 0.244343 + 0.306396i 0.888846 0.458205i \(-0.151507\pi\)
−0.644504 + 0.764601i \(0.722936\pi\)
\(572\) −8446.65 + 4067.69i −0.617434 + 0.297341i
\(573\) −127.196 159.499i −0.00927348 0.0116286i
\(574\) −1033.57 + 4528.35i −0.0751571 + 0.329285i
\(575\) −2269.69 1093.03i −0.164613 0.0792737i
\(576\) −9690.30 4666.60i −0.700977 0.337573i
\(577\) −9144.73 + 11467.1i −0.659792 + 0.827353i −0.993321 0.115387i \(-0.963189\pi\)
0.333528 + 0.942740i \(0.391761\pi\)
\(578\) 4855.95 21275.3i 0.349448 1.53103i
\(579\) 14.5467 + 63.7331i 0.00104411 + 0.00457454i
\(580\) 9987.42 12523.8i 0.715009 0.896593i
\(581\) −1705.36 + 2138.45i −0.121773 + 0.152699i
\(582\) −515.262 2257.51i −0.0366981 0.160785i
\(583\) 308.119 1349.96i 0.0218885 0.0958996i
\(584\) 749.218 939.490i 0.0530871 0.0665691i
\(585\) 17530.7 + 8442.32i 1.23898 + 0.596662i
\(586\) 43292.5 + 20848.6i 3.05187 + 1.46971i
\(587\) −2381.32 + 10433.3i −0.167441 + 0.733606i 0.819574 + 0.572974i \(0.194210\pi\)
−0.987014 + 0.160632i \(0.948647\pi\)
\(588\) 1085.01 + 1360.56i 0.0760970 + 0.0954226i
\(589\) 12206.6 5878.37i 0.853926 0.411229i
\(590\) 16922.1 + 21219.7i 1.18080 + 1.48068i
\(591\) 265.461 + 1163.06i 0.0184765 + 0.0809508i
\(592\) −30159.0 14523.8i −2.09379 1.00832i
\(593\) −5807.27 25443.3i −0.402152 1.76194i −0.618657 0.785661i \(-0.712323\pi\)
0.216505 0.976281i \(-0.430534\pi\)
\(594\) 745.558 359.042i 0.0514994 0.0248008i
\(595\) 4239.24 0.292088
\(596\) −21949.5 −1.50854
\(597\) 47.8228 23.0303i 0.00327849 0.00157884i
\(598\) 5534.12 24246.5i 0.378439 1.65805i
\(599\) 13632.9 17095.1i 0.929926 1.16609i −0.0559200 0.998435i \(-0.517809\pi\)
0.985846 0.167655i \(-0.0536194\pi\)
\(600\) 245.322 + 307.624i 0.0166920 + 0.0209312i
\(601\) 20916.6 1.41965 0.709823 0.704380i \(-0.248775\pi\)
0.709823 + 0.704380i \(0.248775\pi\)
\(602\) −4275.53 + 2472.47i −0.289465 + 0.167393i
\(603\) −11979.6 −0.809035
\(604\) −16407.4 20574.2i −1.10531 1.38601i
\(605\) −9572.28 + 12003.3i −0.643254 + 0.806615i
\(606\) −160.746 + 704.275i −0.0107754 + 0.0472099i
\(607\) −4901.39 + 2360.39i −0.327745 + 0.157834i −0.590519 0.807024i \(-0.701077\pi\)
0.262774 + 0.964857i \(0.415363\pi\)
\(608\) −5724.48 −0.381839
\(609\) −87.8384 −0.00584465
\(610\) 25826.7 12437.5i 1.71425 0.825541i
\(611\) −6685.83 29292.5i −0.442683 1.93952i
\(612\) 38684.1 + 18629.3i 2.55509 + 1.23046i
\(613\) −4477.37 19616.7i −0.295007 1.29251i −0.877461 0.479648i \(-0.840765\pi\)
0.582454 0.812864i \(-0.302093\pi\)
\(614\) −2833.24 3552.76i −0.186222 0.233515i
\(615\) −944.806 + 454.995i −0.0619484 + 0.0298328i
\(616\) −907.335 1137.76i −0.0593467 0.0744184i
\(617\) 569.814 2496.52i 0.0371796 0.162895i −0.952930 0.303190i \(-0.901948\pi\)
0.990110 + 0.140296i \(0.0448053\pi\)
\(618\) 2470.97 + 1189.95i 0.160836 + 0.0774547i
\(619\) 5107.93 + 2459.85i 0.331672 + 0.159725i 0.592306 0.805713i \(-0.298217\pi\)
−0.260635 + 0.965438i \(0.583932\pi\)
\(620\) −13291.0 + 16666.4i −0.860937 + 1.07958i
\(621\) −329.206 + 1442.35i −0.0212731 + 0.0932035i
\(622\) 2248.27 + 9850.31i 0.144931 + 0.634986i
\(623\) −39.7662 + 49.8653i −0.00255730 + 0.00320676i
\(624\) −892.084 + 1118.64i −0.0572307 + 0.0717650i
\(625\) 4099.74 + 17962.1i 0.262383 + 1.14958i
\(626\) 1123.41 4921.99i 0.0717262 0.314253i
\(627\) −252.218 + 316.271i −0.0160648 + 0.0201446i
\(628\) −10339.6 4979.28i −0.656997 0.316393i
\(629\) −37741.3 18175.3i −2.39244 1.15214i
\(630\) −1302.00 + 5704.44i −0.0823380 + 0.360746i
\(631\) −4641.91 5820.77i −0.292855 0.367228i 0.613537 0.789666i \(-0.289746\pi\)
−0.906392 + 0.422437i \(0.861175\pi\)
\(632\) 234.849 113.097i 0.0147813 0.00711831i
\(633\) 986.584 + 1237.14i 0.0619482 + 0.0776805i
\(634\) −221.233 969.286i −0.0138585 0.0607181i
\(635\) 10467.9 + 5041.06i 0.654181 + 0.315037i
\(636\) −166.679 730.268i −0.0103919 0.0455299i
\(637\) 17344.3 8352.56i 1.07882 0.519530i
\(638\) −3760.99 −0.233384
\(639\) −26330.9 −1.63010
\(640\) −26086.8 + 12562.7i −1.61121 + 0.775916i
\(641\) 2295.26 10056.2i 0.141431 0.619649i −0.853672 0.520810i \(-0.825630\pi\)
0.995103 0.0988392i \(-0.0315130\pi\)
\(642\) −12.9821 + 16.2790i −0.000798072 + 0.00100075i
\(643\) −1187.73 1489.37i −0.0728454 0.0913452i 0.744074 0.668098i \(-0.232891\pi\)
−0.816919 + 0.576752i \(0.804320\pi\)
\(644\) 5040.24 0.308406
\(645\) −1038.27 406.653i −0.0633828 0.0248247i
\(646\) −62405.5 −3.80079
\(647\) 13696.2 + 17174.5i 0.832233 + 1.04359i 0.998347 + 0.0574808i \(0.0183068\pi\)
−0.166113 + 0.986107i \(0.553122\pi\)
\(648\) −19000.7 + 23826.1i −1.15188 + 1.44441i
\(649\) 955.647 4186.96i 0.0578003 0.253240i
\(650\) 7597.09 3658.56i 0.458434 0.220770i
\(651\) 116.893 0.00703750
\(652\) −37423.4 −2.24788
\(653\) −17511.3 + 8433.00i −1.04942 + 0.505373i −0.877419 0.479724i \(-0.840737\pi\)
−0.171999 + 0.985097i \(0.555023\pi\)
\(654\) 381.647 + 1672.10i 0.0228189 + 0.0999762i
\(655\) −1490.23 717.656i −0.0888978 0.0428109i
\(656\) 4551.76 + 19942.6i 0.270909 + 1.18693i
\(657\) 476.662 + 597.716i 0.0283050 + 0.0354933i
\(658\) 8140.40 3920.21i 0.482288 0.232258i
\(659\) 13900.5 + 17430.7i 0.821680 + 1.03035i 0.998933 + 0.0461890i \(0.0147076\pi\)
−0.177252 + 0.984165i \(0.556721\pi\)
\(660\) 141.633 620.533i 0.00835309 0.0365973i
\(661\) −2496.77 1202.38i −0.146918 0.0707522i 0.358980 0.933345i \(-0.383125\pi\)
−0.505898 + 0.862593i \(0.668839\pi\)
\(662\) 53282.3 + 25659.4i 3.12821 + 1.50647i
\(663\) −1116.37 + 1399.88i −0.0653938 + 0.0820012i
\(664\) −7276.96 + 31882.4i −0.425302 + 1.86337i
\(665\) −1275.36 5587.73i −0.0743706 0.325839i
\(666\) 36048.6 45203.5i 2.09738 2.63003i
\(667\) 4192.34 5257.03i 0.243370 0.305177i
\(668\) −3188.93 13971.6i −0.184706 0.809249i
\(669\) 305.006 1336.32i 0.0176266 0.0772273i
\(670\) −17081.2 + 21419.1i −0.984931 + 1.23506i
\(671\) −4086.68 1968.04i −0.235118 0.113227i
\(672\) −44.4992 21.4297i −0.00255446 0.00123016i
\(673\) 631.552 2767.01i 0.0361732 0.158485i −0.953616 0.301027i \(-0.902671\pi\)
0.989789 + 0.142542i \(0.0455277\pi\)
\(674\) 30678.1 + 38469.2i 1.75323 + 2.19848i
\(675\) −451.925 + 217.636i −0.0257698 + 0.0124101i
\(676\) 12328.7 + 15459.7i 0.701450 + 0.879590i
\(677\) −4334.13 18989.0i −0.246047 1.07800i −0.935404 0.353581i \(-0.884964\pi\)
0.689357 0.724422i \(-0.257893\pi\)
\(678\) −568.412 273.733i −0.0321972 0.0155054i
\(679\) −1155.17 5061.12i −0.0652890 0.286050i
\(680\) 45665.7 21991.5i 2.57530 1.24020i
\(681\) −363.471 −0.0204526
\(682\) 5005.04 0.281016
\(683\) −9626.50 + 4635.88i −0.539309 + 0.259717i −0.683649 0.729811i \(-0.739608\pi\)
0.144341 + 0.989528i \(0.453894\pi\)
\(684\) 12917.2 56593.9i 0.722077 3.16363i
\(685\) 4032.20 5056.22i 0.224909 0.282027i
\(686\) 7355.24 + 9223.18i 0.409365 + 0.513327i
\(687\) −700.099 −0.0388798
\(688\) −12240.1 + 17980.0i −0.678272 + 0.996340i
\(689\) −8286.14 −0.458167
\(690\) 1052.75 + 1320.10i 0.0580832 + 0.0728340i
\(691\) −11529.7 + 14457.8i −0.634749 + 0.795951i −0.990335 0.138693i \(-0.955710\pi\)
0.355586 + 0.934644i \(0.384281\pi\)
\(692\) 9665.94 42349.2i 0.530988 2.32641i
\(693\) 834.162 401.711i 0.0457247 0.0220199i
\(694\) 19259.2 1.05341
\(695\) 22431.2 1.22426
\(696\) −946.207 + 455.669i −0.0515315 + 0.0248162i
\(697\) 5696.14 + 24956.4i 0.309550 + 1.35623i
\(698\) −8740.72 4209.31i −0.473985 0.228259i
\(699\) −198.297 868.797i −0.0107300 0.0470113i
\(700\) 1065.47 + 1336.06i 0.0575299 + 0.0721403i
\(701\) 24101.6 11606.7i 1.29858 0.625363i 0.348483 0.937315i \(-0.386697\pi\)
0.950098 + 0.311952i \(0.100983\pi\)
\(702\) −3087.50 3871.60i −0.165997 0.208154i
\(703\) −12602.4 + 55214.6i −0.676114 + 2.96225i
\(704\) 3506.58 + 1688.68i 0.187726 + 0.0904041i
\(705\) 1837.86 + 885.065i 0.0981811 + 0.0472815i
\(706\) 8664.84 10865.4i 0.461906 0.579212i
\(707\) −360.377 + 1578.92i −0.0191703 + 0.0839905i
\(708\) −516.964 2264.97i −0.0274416 0.120230i
\(709\) 11983.9 15027.3i 0.634788 0.795999i −0.355553 0.934656i \(-0.615707\pi\)
0.990340 + 0.138658i \(0.0442788\pi\)
\(710\) −37544.1 + 47078.8i −1.98451 + 2.48850i
\(711\) 36.9022 + 161.679i 0.00194647 + 0.00852804i
\(712\) −169.687 + 743.446i −0.00893157 + 0.0391318i
\(713\) −5579.07 + 6995.93i −0.293040 + 0.367461i
\(714\) −485.109 233.616i −0.0254268 0.0122449i
\(715\) −6343.73 3054.98i −0.331807 0.159790i
\(716\) −2244.36 + 9833.20i −0.117145 + 0.513246i
\(717\) −382.189 479.250i −0.0199067 0.0249622i
\(718\) 25963.1 12503.2i 1.34949 0.649881i
\(719\) −9816.51 12309.5i −0.509171 0.638480i 0.459100 0.888385i \(-0.348172\pi\)
−0.968270 + 0.249905i \(0.919601\pi\)
\(720\) 5733.94 + 25122.0i 0.296793 + 1.30034i
\(721\) 5539.67 + 2667.76i 0.286141 + 0.137798i
\(722\) 11214.3 + 49133.2i 0.578053 + 2.53262i
\(723\) 85.8943 41.3645i 0.00441832 0.00212775i
\(724\) −24257.9 −1.24522
\(725\) 2279.75 0.116783
\(726\) 1756.86 846.058i 0.0898114 0.0432509i
\(727\) 5331.05 23356.8i 0.271964 1.19155i −0.635728 0.771913i \(-0.719300\pi\)
0.907692 0.419637i \(-0.137843\pi\)
\(728\) −5429.66 + 6808.58i −0.276424 + 0.346625i
\(729\) −11996.5 15043.1i −0.609484 0.764269i
\(730\) 1748.35 0.0886427
\(731\) −15317.5 + 22500.4i −0.775017 + 1.13845i
\(732\) −2453.71 −0.123896
\(733\) −1867.34 2341.57i −0.0940953 0.117992i 0.732555 0.680708i \(-0.238328\pi\)
−0.826650 + 0.562716i \(0.809756\pi\)
\(734\) −5919.41 + 7422.71i −0.297670 + 0.373266i
\(735\) −290.827 + 1274.20i −0.0145950 + 0.0639448i
\(736\) 3406.39 1640.43i 0.170600 0.0821565i
\(737\) 4335.00 0.216665
\(738\) −35331.5 −1.76229
\(739\) 5414.86 2607.66i 0.269538 0.129803i −0.294233 0.955734i \(-0.595064\pi\)
0.563771 + 0.825931i \(0.309350\pi\)
\(740\) −19828.9 86876.1i −0.985033 4.31571i
\(741\) 2181.03 + 1050.33i 0.108127 + 0.0520712i
\(742\) −554.466 2429.27i −0.0274327 0.120191i
\(743\) 7753.14 + 9722.13i 0.382820 + 0.480041i 0.935487 0.353361i \(-0.114961\pi\)
−0.552667 + 0.833402i \(0.686390\pi\)
\(744\) 1259.19 606.395i 0.0620486 0.0298811i
\(745\) −10278.1 12888.4i −0.505452 0.633817i
\(746\) 7465.88 32710.2i 0.366415 1.60537i
\(747\) −18745.2 9027.23i −0.918143 0.442154i
\(748\) −13998.4 6741.28i −0.684269 0.329526i
\(749\) −29.1046 + 36.4960i −0.00141984 + 0.00178042i
\(750\) 417.463 1829.02i 0.0203248 0.0890487i
\(751\) 7377.49 + 32322.9i 0.358467 + 1.57055i 0.757014 + 0.653398i \(0.226657\pi\)
−0.398548 + 0.917148i \(0.630486\pi\)
\(752\) 24808.9 31109.4i 1.20304 1.50857i
\(753\) −797.426 + 999.941i −0.0385921 + 0.0483929i
\(754\) 5008.16 + 21942.2i 0.241892 + 1.05980i
\(755\) 4397.85 19268.2i 0.211992 0.928798i
\(756\) 625.721 784.629i 0.0301022 0.0377469i
\(757\) 1895.98 + 913.057i 0.0910312 + 0.0438383i 0.478845 0.877899i \(-0.341055\pi\)
−0.387814 + 0.921738i \(0.626770\pi\)
\(758\) 33476.9 + 16121.6i 1.60414 + 0.772511i
\(759\) 59.4520 260.476i 0.00284318 0.0124568i
\(760\) −42725.2 53575.7i −2.03922 2.55710i
\(761\) −6692.60 + 3222.99i −0.318800 + 0.153526i −0.586439 0.809993i \(-0.699471\pi\)
0.267639 + 0.963519i \(0.413756\pi\)
\(762\) −920.066 1153.73i −0.0437408 0.0548492i
\(763\) 855.615 + 3748.69i 0.0405968 + 0.177866i
\(764\) −9544.48 4596.38i −0.451973 0.217659i
\(765\) 7175.53 + 31438.0i 0.339126 + 1.48581i
\(766\) 16471.5 7932.26i 0.776945 0.374157i
\(767\) −25699.9 −1.20987
\(768\) 2658.88 0.124927
\(769\) −24568.7 + 11831.7i −1.15211 + 0.554826i −0.909667 0.415339i \(-0.863663\pi\)
−0.242442 + 0.970166i \(0.577949\pi\)
\(770\) 471.148 2064.23i 0.0220506 0.0966102i
\(771\) 742.543 931.120i 0.0346849 0.0434935i
\(772\) 2116.50 + 2654.01i 0.0986718 + 0.123731i