Properties

Label 43.6.g.a.24.5
Level 43
Weight 6
Character 43.24
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 24.5
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.60873 + 4.52520i) q^{2} +(-0.0525050 + 0.00791386i) q^{3} +(-0.333852 - 1.46270i) q^{4} +(-19.3143 + 13.1682i) q^{5} +(0.153664 - 0.266155i) q^{6} +(53.2202 + 92.1801i) q^{7} +(-159.048 - 76.5937i) q^{8} +(-232.201 + 71.6247i) q^{9} +O(q^{10})\) \(q+(-3.60873 + 4.52520i) q^{2} +(-0.0525050 + 0.00791386i) q^{3} +(-0.333852 - 1.46270i) q^{4} +(-19.3143 + 13.1682i) q^{5} +(0.153664 - 0.266155i) q^{6} +(53.2202 + 92.1801i) q^{7} +(-159.048 - 76.5937i) q^{8} +(-232.201 + 71.6247i) q^{9} +(10.1110 - 134.921i) q^{10} +(72.6939 - 318.493i) q^{11} +(0.0291045 + 0.0741571i) q^{12} +(-28.9290 - 386.031i) q^{13} +(-609.191 - 91.8207i) q^{14} +(0.909885 - 0.844250i) q^{15} +(963.820 - 464.151i) q^{16} +(-1252.61 - 854.014i) q^{17} +(513.836 - 1309.23i) q^{18} +(-1795.13 - 553.723i) q^{19} +(25.7093 + 23.8547i) q^{20} +(-3.52383 - 4.41874i) q^{21} +(1178.91 + 1478.31i) q^{22} +(1876.56 + 1741.19i) q^{23} +(8.95700 + 2.76287i) q^{24} +(-942.052 + 2400.31i) q^{25} +(1851.26 + 1262.17i) q^{26} +(23.2500 - 11.1966i) q^{27} +(117.064 - 108.620i) q^{28} +(-3584.75 - 540.314i) q^{29} +(0.536873 + 7.16407i) q^{30} +(3638.18 + 9269.93i) q^{31} +(-120.769 + 529.124i) q^{32} +(-1.29629 + 17.2978i) q^{33} +(8384.91 - 2586.40i) q^{34} +(-2241.76 - 1079.57i) q^{35} +(182.286 + 315.729i) q^{36} +(-5995.89 + 10385.2i) q^{37} +(8983.83 - 6125.07i) q^{38} +(4.57392 + 20.0396i) q^{39} +(4080.51 - 615.038i) q^{40} +(3849.10 - 4826.61i) q^{41} +32.7122 q^{42} +(-8519.04 - 8627.54i) q^{43} -490.128 q^{44} +(3541.63 - 4441.06i) q^{45} +(-14651.2 + 2208.31i) q^{46} +(-232.404 - 1018.23i) q^{47} +(-46.9322 + 31.9978i) q^{48} +(2738.71 - 4743.59i) q^{49} +(-7462.27 - 12925.0i) q^{50} +(72.5268 + 34.9271i) q^{51} +(-554.990 + 171.192i) q^{52} +(-554.764 + 7402.81i) q^{53} +(-33.2359 + 145.616i) q^{54} +(2789.96 + 7108.70i) q^{55} +(-1404.18 - 18737.4i) q^{56} +(98.6353 + 14.8669i) q^{57} +(15381.4 - 14271.9i) q^{58} +(-16003.5 + 7706.86i) q^{59} +(-1.53865 - 1.04903i) q^{60} +(-15690.9 + 39979.7i) q^{61} +(-55077.4 - 16989.1i) q^{62} +(-18960.2 - 17592.5i) q^{63} +(19384.9 + 24307.9i) q^{64} +(5642.10 + 7074.97i) q^{65} +(-73.5978 - 68.2888i) q^{66} +(25758.3 + 7945.37i) q^{67} +(-830.981 + 2117.31i) q^{68} +(-112.308 - 76.5704i) q^{69} +(12975.2 - 6248.52i) q^{70} +(-1925.83 + 1786.91i) q^{71} +(42417.3 + 6393.38i) q^{72} +(-1541.09 - 20564.4i) q^{73} +(-25357.5 - 64609.9i) q^{74} +(30.4668 - 133.484i) q^{75} +(-210.625 + 2810.59i) q^{76} +(33227.5 - 10249.3i) q^{77} +(-107.189 - 51.6197i) q^{78} +(26032.8 + 45090.2i) q^{79} +(-12503.4 + 21656.6i) q^{80} +(48786.9 - 33262.3i) q^{81} +(7951.05 + 34835.8i) q^{82} +(-105134. + 15846.4i) q^{83} +(-5.28686 + 6.62951i) q^{84} +35439.1 q^{85} +(69784.2 - 7415.91i) q^{86} +192.493 q^{87} +(-35956.4 + 45087.9i) q^{88} +(9276.90 - 1398.27i) q^{89} +(7315.93 + 32053.2i) q^{90} +(34044.8 - 23211.4i) q^{91} +(1920.35 - 3326.14i) q^{92} +(-264.384 - 457.926i) q^{93} +(5446.37 + 2622.84i) q^{94} +(41963.1 - 12943.9i) q^{95} +(2.15357 - 28.7374i) q^{96} +(-13378.9 + 58616.7i) q^{97} +(11582.4 + 29511.6i) q^{98} +(5932.31 + 79161.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.60873 + 4.52520i −0.637939 + 0.799950i −0.990743 0.135747i \(-0.956656\pi\)
0.352805 + 0.935697i \(0.385228\pi\)
\(3\) −0.0525050 + 0.00791386i −0.00336820 + 0.000507674i −0.150726 0.988576i \(-0.548161\pi\)
0.147358 + 0.989083i \(0.452923\pi\)
\(4\) −0.333852 1.46270i −0.0104329 0.0457094i
\(5\) −19.3143 + 13.1682i −0.345504 + 0.235561i −0.723622 0.690197i \(-0.757524\pi\)
0.378117 + 0.925758i \(0.376572\pi\)
\(6\) 0.153664 0.266155i 0.00174259 0.00301825i
\(7\) 53.2202 + 92.1801i 0.410517 + 0.711037i 0.994946 0.100408i \(-0.0320148\pi\)
−0.584429 + 0.811445i \(0.698681\pi\)
\(8\) −159.048 76.5937i −0.878627 0.423125i
\(9\) −232.201 + 71.6247i −0.955562 + 0.294752i
\(10\) 10.1110 134.921i 0.0319737 0.426659i
\(11\) 72.6939 318.493i 0.181141 0.793629i −0.799948 0.600070i \(-0.795140\pi\)
0.981089 0.193560i \(-0.0620033\pi\)
\(12\) 0.0291045 + 0.0741571i 5.83455e−5 + 0.000148662i
\(13\) −28.9290 386.031i −0.0474762 0.633525i −0.969294 0.245903i \(-0.920916\pi\)
0.921818 0.387622i \(-0.126704\pi\)
\(14\) −609.191 91.8207i −0.830679 0.125205i
\(15\) 0.909885 0.844250i 0.00104414 0.000968819i
\(16\) 963.820 464.151i 0.941230 0.453273i
\(17\) −1252.61 854.014i −1.05122 0.716709i −0.0909700 0.995854i \(-0.528997\pi\)
−0.960249 + 0.279145i \(0.909949\pi\)
\(18\) 513.836 1309.23i 0.373803 0.952435i
\(19\) −1795.13 553.723i −1.14080 0.351891i −0.333920 0.942601i \(-0.608372\pi\)
−0.806884 + 0.590710i \(0.798848\pi\)
\(20\) 25.7093 + 23.8547i 0.0143719 + 0.0133352i
\(21\) −3.52383 4.41874i −0.00174368 0.00218651i
\(22\) 1178.91 + 1478.31i 0.519307 + 0.651190i
\(23\) 1876.56 + 1741.19i 0.739676 + 0.686319i 0.957100 0.289758i \(-0.0935748\pi\)
−0.217424 + 0.976077i \(0.569765\pi\)
\(24\) 8.95700 + 2.76287i 0.00317420 + 0.000979111i
\(25\) −942.052 + 2400.31i −0.301457 + 0.768099i
\(26\) 1851.26 + 1262.17i 0.537075 + 0.366172i
\(27\) 23.2500 11.1966i 0.00613780 0.00295581i
\(28\) 117.064 108.620i 0.0282182 0.0261827i
\(29\) −3584.75 540.314i −0.791524 0.119303i −0.259178 0.965830i \(-0.583452\pi\)
−0.532346 + 0.846527i \(0.678690\pi\)
\(30\) 0.536873 + 7.16407i 0.000108910 + 0.00145331i
\(31\) 3638.18 + 9269.93i 0.679954 + 1.73250i 0.680772 + 0.732496i \(0.261645\pi\)
−0.000817346 1.00000i \(0.500260\pi\)
\(32\) −120.769 + 529.124i −0.0208488 + 0.0913446i
\(33\) −1.29629 + 17.2978i −0.000207213 + 0.00276506i
\(34\) 8384.91 2586.40i 1.24394 0.383706i
\(35\) −2241.76 1079.57i −0.309328 0.148964i
\(36\) 182.286 + 315.729i 0.0234422 + 0.0406030i
\(37\) −5995.89 + 10385.2i −0.720028 + 1.24713i 0.240960 + 0.970535i \(0.422538\pi\)
−0.960988 + 0.276590i \(0.910796\pi\)
\(38\) 8983.83 6125.07i 1.00926 0.688101i
\(39\) 4.57392 + 20.0396i 0.000481534 + 0.00210974i
\(40\) 4080.51 615.038i 0.403241 0.0607788i
\(41\) 3849.10 4826.61i 0.357601 0.448418i −0.570193 0.821511i \(-0.693131\pi\)
0.927794 + 0.373093i \(0.121703\pi\)
\(42\) 32.7122 0.00286145
\(43\) −8519.04 8627.54i −0.702618 0.711567i
\(44\) −490.128 −0.0381661
\(45\) 3541.63 4441.06i 0.260719 0.326931i
\(46\) −14651.2 + 2208.31i −1.02089 + 0.153874i
\(47\) −232.404 1018.23i −0.0153461 0.0672359i 0.966675 0.256007i \(-0.0824069\pi\)
−0.982021 + 0.188771i \(0.939550\pi\)
\(48\) −46.9322 + 31.9978i −0.00294014 + 0.00200455i
\(49\) 2738.71 4743.59i 0.162951 0.282239i
\(50\) −7462.27 12925.0i −0.422130 0.731150i
\(51\) 72.5268 + 34.9271i 0.00390457 + 0.00188034i
\(52\) −554.990 + 171.192i −0.0284627 + 0.00877959i
\(53\) −554.764 + 7402.81i −0.0271281 + 0.361999i 0.967076 + 0.254488i \(0.0819070\pi\)
−0.994204 + 0.107511i \(0.965712\pi\)
\(54\) −33.2359 + 145.616i −0.00155104 + 0.00679556i
\(55\) 2789.96 + 7108.70i 0.124363 + 0.316872i
\(56\) −1404.18 18737.4i −0.0598345 0.798436i
\(57\) 98.6353 + 14.8669i 0.00402110 + 0.000606084i
\(58\) 15381.4 14271.9i 0.600380 0.557071i
\(59\) −16003.5 + 7706.86i −0.598527 + 0.288236i −0.708513 0.705698i \(-0.750634\pi\)
0.109986 + 0.993933i \(0.464919\pi\)
\(60\) −1.53865 1.04903i −5.51775e−5 3.76194e-5i
\(61\) −15690.9 + 39979.7i −0.539912 + 1.37567i 0.357265 + 0.934003i \(0.383709\pi\)
−0.897177 + 0.441671i \(0.854386\pi\)
\(62\) −55077.4 16989.1i −1.81968 0.561296i
\(63\) −18960.2 17592.5i −0.601854 0.558439i
\(64\) 19384.9 + 24307.9i 0.591581 + 0.741819i
\(65\) 5642.10 + 7074.97i 0.165637 + 0.207702i
\(66\) −73.5978 68.2888i −0.00207972 0.00192970i
\(67\) 25758.3 + 7945.37i 0.701019 + 0.216236i 0.624719 0.780849i \(-0.285213\pi\)
0.0762992 + 0.997085i \(0.475690\pi\)
\(68\) −830.981 + 2117.31i −0.0217931 + 0.0555279i
\(69\) −112.308 76.5704i −0.00283980 0.00193615i
\(70\) 12975.2 6248.52i 0.316496 0.152417i
\(71\) −1925.83 + 1786.91i −0.0453390 + 0.0420685i −0.702517 0.711667i \(-0.747940\pi\)
0.657178 + 0.753735i \(0.271750\pi\)
\(72\) 42417.3 + 6393.38i 0.964299 + 0.145345i
\(73\) −1541.09 20564.4i −0.0338470 0.451657i −0.988220 0.153040i \(-0.951094\pi\)
0.954373 0.298617i \(-0.0965254\pi\)
\(74\) −25357.5 64609.9i −0.538304 1.37158i
\(75\) 30.4668 133.484i 0.000625422 0.00274015i
\(76\) −210.625 + 2810.59i −0.00418288 + 0.0558167i
\(77\) 33227.5 10249.3i 0.638661 0.197001i
\(78\) −107.189 51.6197i −0.00199487 0.000960680i
\(79\) 26032.8 + 45090.2i 0.469303 + 0.812857i 0.999384 0.0350902i \(-0.0111718\pi\)
−0.530081 + 0.847947i \(0.677839\pi\)
\(80\) −12503.4 + 21656.6i −0.218426 + 0.378324i
\(81\) 48786.9 33262.3i 0.826210 0.563300i
\(82\) 7951.05 + 34835.8i 0.130584 + 0.572126i
\(83\) −105134. + 15846.4i −1.67512 + 0.252484i −0.916786 0.399378i \(-0.869226\pi\)
−0.758338 + 0.651862i \(0.773988\pi\)
\(84\) −5.28686 + 6.62951i −8.17522e−5 + 0.000102514i
\(85\) 35439.1 0.532029
\(86\) 69784.2 7415.91i 1.01744 0.108123i
\(87\) 192.493 0.00272658
\(88\) −35956.4 + 45087.9i −0.494959 + 0.620659i
\(89\) 9276.90 1398.27i 0.124145 0.0187118i −0.0866760 0.996237i \(-0.527625\pi\)
0.210821 + 0.977525i \(0.432386\pi\)
\(90\) 7315.93 + 32053.2i 0.0952057 + 0.417123i
\(91\) 34044.8 23211.4i 0.430970 0.293831i
\(92\) 1920.35 3326.14i 0.0236543 0.0409704i
\(93\) −264.384 457.926i −0.00316977 0.00549019i
\(94\) 5446.37 + 2622.84i 0.0635752 + 0.0306162i
\(95\) 41963.1 12943.9i 0.477044 0.147149i
\(96\) 2.15357 28.7374i 2.38496e−5 0.000318251i
\(97\) −13378.9 + 58616.7i −0.144375 + 0.632546i 0.850014 + 0.526760i \(0.176593\pi\)
−0.994389 + 0.105787i \(0.966264\pi\)
\(98\) 11582.4 + 29511.6i 0.121824 + 0.310404i
\(99\) 5932.31 + 79161.1i 0.0608325 + 0.811753i
\(100\) 3825.44 + 576.592i 0.0382544 + 0.00576592i
\(101\) −5443.81 + 5051.12i −0.0531006 + 0.0492702i −0.706277 0.707936i \(-0.749627\pi\)
0.653176 + 0.757206i \(0.273436\pi\)
\(102\) −419.781 + 202.156i −0.00399505 + 0.00192392i
\(103\) −20080.9 13690.9i −0.186505 0.127157i 0.466468 0.884538i \(-0.345526\pi\)
−0.652973 + 0.757381i \(0.726479\pi\)
\(104\) −24966.4 + 63613.5i −0.226346 + 0.576721i
\(105\) 126.247 + 38.9421i 0.00111750 + 0.000344704i
\(106\) −31497.2 29225.1i −0.272275 0.252634i
\(107\) −111703. 140071.i −0.943205 1.18274i −0.983013 0.183534i \(-0.941246\pi\)
0.0398088 0.999207i \(-0.487325\pi\)
\(108\) −24.1393 30.2697i −0.000199143 0.000249718i
\(109\) −42367.6 39311.4i −0.341561 0.316922i 0.490676 0.871342i \(-0.336750\pi\)
−0.832237 + 0.554420i \(0.812940\pi\)
\(110\) −42236.5 13028.2i −0.332817 0.102661i
\(111\) 232.628 592.725i 0.00179206 0.00456611i
\(112\) 94080.2 + 64142.8i 0.708685 + 0.483173i
\(113\) −56886.1 + 27394.9i −0.419092 + 0.201824i −0.631532 0.775350i \(-0.717573\pi\)
0.212439 + 0.977174i \(0.431859\pi\)
\(114\) −423.223 + 392.694i −0.00305005 + 0.00283003i
\(115\) −59172.7 8918.85i −0.417231 0.0628875i
\(116\) 406.458 + 5423.80i 0.00280460 + 0.0374248i
\(117\) 34366.7 + 87565.0i 0.232099 + 0.591379i
\(118\) 22877.0 100231.i 0.151250 0.662668i
\(119\) 12059.0 160917.i 0.0780629 1.04168i
\(120\) −209.380 + 64.5852i −0.00132734 + 0.000409430i
\(121\) 48948.8 + 23572.5i 0.303933 + 0.146367i
\(122\) −124292. 215280.i −0.756039 1.30950i
\(123\) −163.900 + 283.883i −0.000976822 + 0.00169191i
\(124\) 12344.5 8416.35i 0.0720974 0.0491552i
\(125\) −29668.1 129984.i −0.169830 0.744074i
\(126\) 148032. 22312.2i 0.830669 0.125203i
\(127\) 64292.7 80620.5i 0.353714 0.443544i −0.572861 0.819652i \(-0.694167\pi\)
0.926576 + 0.376109i \(0.122738\pi\)
\(128\) −197320. −1.06450
\(129\) 515.569 + 385.571i 0.00272780 + 0.00204000i
\(130\) −52376.4 −0.271817
\(131\) −30724.9 + 38527.9i −0.156427 + 0.196154i −0.853869 0.520488i \(-0.825750\pi\)
0.697442 + 0.716641i \(0.254322\pi\)
\(132\) 25.7342 3.87881i 0.000128551 1.93760e-5i
\(133\) −44494.8 194944.i −0.218112 0.955612i
\(134\) −128909. + 87888.6i −0.620184 + 0.422834i
\(135\) −301.617 + 522.415i −0.00142436 + 0.00246707i
\(136\) 133813. + 231772.i 0.620372 + 1.07452i
\(137\) 57268.9 + 27579.3i 0.260686 + 0.125540i 0.559662 0.828721i \(-0.310931\pi\)
−0.298976 + 0.954261i \(0.596645\pi\)
\(138\) 751.785 231.895i 0.00336044 0.00103656i
\(139\) 24595.3 328202.i 0.107973 1.44080i −0.635534 0.772073i \(-0.719220\pi\)
0.743507 0.668728i \(-0.233161\pi\)
\(140\) −830.679 + 3639.44i −0.00358190 + 0.0156933i
\(141\) 20.2605 + 51.6230i 8.58228e−5 + 0.000218673i
\(142\) −1136.33 15163.2i −0.00472914 0.0631060i
\(143\) −125051. 18848.4i −0.511384 0.0770788i
\(144\) −190556. + 176810.i −0.765801 + 0.710559i
\(145\) 76351.9 36769.1i 0.301578 0.145232i
\(146\) 98619.4 + 67237.6i 0.382895 + 0.261054i
\(147\) −106.256 + 270.736i −0.000405565 + 0.00103336i
\(148\) 17192.2 + 5303.08i 0.0645173 + 0.0199009i
\(149\) 373933. + 346959.i 1.37984 + 1.28030i 0.919792 + 0.392407i \(0.128357\pi\)
0.460046 + 0.887895i \(0.347833\pi\)
\(150\) 494.094 + 619.574i 0.00179300 + 0.00224836i
\(151\) 149530. + 187505.i 0.533688 + 0.669223i 0.973452 0.228890i \(-0.0735096\pi\)
−0.439765 + 0.898113i \(0.644938\pi\)
\(152\) 243100. + 225564.i 0.853448 + 0.791884i
\(153\) 352026. + 108586.i 1.21576 + 0.375011i
\(154\) −73528.6 + 187348.i −0.249836 + 0.636571i
\(155\) −192337. 131133.i −0.643035 0.438414i
\(156\) 27.7850 13.3805i 9.14110e−5 4.40212e-5i
\(157\) −102032. + 94671.8i −0.330360 + 0.306529i −0.827860 0.560935i \(-0.810442\pi\)
0.497500 + 0.867464i \(0.334251\pi\)
\(158\) −297987. 44914.3i −0.949631 0.143134i
\(159\) −29.4569 393.075i −9.24048e−5 0.00123306i
\(160\) −4635.07 11810.0i −0.0143138 0.0364711i
\(161\) −60632.3 + 265648.i −0.184348 + 0.807683i
\(162\) −25539.8 + 340805.i −0.0764592 + 1.02028i
\(163\) −92316.2 + 28475.8i −0.272150 + 0.0839473i −0.427827 0.903861i \(-0.640721\pi\)
0.155676 + 0.987808i \(0.450244\pi\)
\(164\) −8344.91 4018.70i −0.0242277 0.0116674i
\(165\) −202.744 351.163i −0.000579747 0.00100415i
\(166\) 307691. 532936.i 0.866651 1.50108i
\(167\) −235837. + 160791.i −0.654367 + 0.446140i −0.844454 0.535627i \(-0.820075\pi\)
0.190088 + 0.981767i \(0.439123\pi\)
\(168\) 222.012 + 972.698i 0.000606880 + 0.00265892i
\(169\) 218963. 33003.3i 0.589730 0.0888875i
\(170\) −127890. + 160369.i −0.339402 + 0.425596i
\(171\) 456491. 1.19383
\(172\) −9775.41 + 15341.1i −0.0251950 + 0.0395399i
\(173\) 242961. 0.617194 0.308597 0.951193i \(-0.400141\pi\)
0.308597 + 0.951193i \(0.400141\pi\)
\(174\) −694.656 + 871.071i −0.00173939 + 0.00218112i
\(175\) −271397. + 40906.5i −0.669900 + 0.100971i
\(176\) −77764.9 340710.i −0.189235 0.829094i
\(177\) 779.271 531.298i 0.00186963 0.00127469i
\(178\) −27150.3 + 47025.8i −0.0642281 + 0.111246i
\(179\) −142999. 247682.i −0.333581 0.577779i 0.649631 0.760250i \(-0.274924\pi\)
−0.983211 + 0.182472i \(0.941590\pi\)
\(180\) −7678.33 3697.69i −0.0176638 0.00850646i
\(181\) 677797. 209073.i 1.53781 0.474352i 0.593897 0.804541i \(-0.297589\pi\)
0.943915 + 0.330189i \(0.107113\pi\)
\(182\) −17822.4 + 237823.i −0.0398829 + 0.532200i
\(183\) 507.457 2223.31i 0.00112014 0.00490764i
\(184\) −165099. 420666.i −0.359501 0.915994i
\(185\) −20948.5 279538.i −0.0450011 0.600497i
\(186\) 3026.29 + 456.140i 0.00641399 + 0.000966754i
\(187\) −363054. + 336865.i −0.759220 + 0.704453i
\(188\) −1411.78 + 679.875i −0.00291321 + 0.00140293i
\(189\) 2269.47 + 1547.30i 0.00462137 + 0.00315079i
\(190\) −92859.6 + 236602.i −0.186613 + 0.475483i
\(191\) 347064. + 107055.i 0.688377 + 0.212336i 0.619159 0.785265i \(-0.287473\pi\)
0.0692178 + 0.997602i \(0.477950\pi\)
\(192\) −1210.18 1122.88i −0.00236916 0.00219826i
\(193\) −369016. 462731.i −0.713102 0.894202i 0.284823 0.958580i \(-0.408065\pi\)
−0.997926 + 0.0643781i \(0.979494\pi\)
\(194\) −216972. 272074.i −0.413903 0.519018i
\(195\) −352.229 326.821i −0.000663343 0.000615493i
\(196\) −7852.78 2422.26i −0.0146010 0.00450382i
\(197\) 231264. 589252.i 0.424564 1.08177i −0.545326 0.838224i \(-0.683594\pi\)
0.969889 0.243546i \(-0.0783108\pi\)
\(198\) −379628. 258826.i −0.688169 0.469186i
\(199\) −560724. + 270030.i −1.00373 + 0.483370i −0.862202 0.506564i \(-0.830915\pi\)
−0.141527 + 0.989934i \(0.545201\pi\)
\(200\) 333681. 309610.i 0.589870 0.547319i
\(201\) −1415.32 213.325i −0.00247095 0.000372435i
\(202\) −3212.10 42862.4i −0.00553873 0.0739092i
\(203\) −140975. 359199.i −0.240106 0.611779i
\(204\) 26.8746 117.745i 4.52134e−5 0.000198093i
\(205\) −10784.4 + 143908.i −0.0179231 + 0.239167i
\(206\) 134421. 41463.3i 0.220698 0.0680762i
\(207\) −560451. 269899.i −0.909100 0.437800i
\(208\) −207059. 358637.i −0.331846 0.574774i
\(209\) −306851. + 531482.i −0.485917 + 0.841634i
\(210\) −631.813 + 430.763i −0.000988644 + 0.000674046i
\(211\) 183735. + 804998.i 0.284110 + 1.24477i 0.892470 + 0.451107i \(0.148971\pi\)
−0.608360 + 0.793661i \(0.708172\pi\)
\(212\) 11013.3 1659.99i 0.0168298 0.00253668i
\(213\) 86.9744 109.063i 0.000131354 0.000164712i
\(214\) 1.03696e6 1.54784
\(215\) 278149. + 54453.9i 0.410375 + 0.0803401i
\(216\) −4555.46 −0.00664352
\(217\) −660878. + 828715.i −0.952735 + 1.19469i
\(218\) 330785. 49857.8i 0.471416 0.0710546i
\(219\) 243.659 + 1067.54i 0.000343298 + 0.00150409i
\(220\) 9466.47 6454.13i 0.0131866 0.00899044i
\(221\) −293439. + 508252.i −0.404146 + 0.700001i
\(222\) 1842.71 + 3191.67i 0.00250943 + 0.00434646i
\(223\) −1.30701e6 629421.i −1.76001 0.847577i −0.973056 0.230568i \(-0.925942\pi\)
−0.786956 0.617009i \(-0.788344\pi\)
\(224\) −55202.1 + 17027.6i −0.0735082 + 0.0226743i
\(225\) 46824.5 624830.i 0.0616619 0.822821i
\(226\) 81318.9 356281.i 0.105906 0.464004i
\(227\) −146662. 373689.i −0.188909 0.481333i 0.804770 0.593586i \(-0.202288\pi\)
−0.993680 + 0.112253i \(0.964193\pi\)
\(228\) −11.1838 149.237i −1.42479e−5 0.000190125i
\(229\) 648923. + 97809.4i 0.817720 + 0.123251i 0.544565 0.838719i \(-0.316695\pi\)
0.273155 + 0.961970i \(0.411933\pi\)
\(230\) 253898. 235583.i 0.316475 0.293646i
\(231\) −1663.50 + 801.098i −0.00205113 + 0.000987770i
\(232\) 528765. + 360506.i 0.644974 + 0.439736i
\(233\) −559410. + 1.42535e6i −0.675058 + 1.72002i 0.0187155 + 0.999825i \(0.494042\pi\)
−0.693773 + 0.720194i \(0.744053\pi\)
\(234\) −520269. 160482.i −0.621138 0.191596i
\(235\) 17897.0 + 16606.0i 0.0211403 + 0.0196153i
\(236\) 16615.6 + 20835.3i 0.0194194 + 0.0243512i
\(237\) −1723.69 2161.44i −0.00199337 0.00249961i
\(238\) 684661. + 635273.i 0.783490 + 0.726972i
\(239\) 623247. + 192246.i 0.705773 + 0.217702i 0.626806 0.779175i \(-0.284362\pi\)
0.0789668 + 0.996877i \(0.474838\pi\)
\(240\) 485.105 1236.03i 0.000543636 0.00138516i
\(241\) 402587. + 274479.i 0.446495 + 0.304415i 0.765615 0.643299i \(-0.222435\pi\)
−0.319120 + 0.947714i \(0.603387\pi\)
\(242\) −283313. + 136436.i −0.310977 + 0.149759i
\(243\) −6895.10 + 6397.72i −0.00749075 + 0.00695040i
\(244\) 63716.8 + 9603.76i 0.0685140 + 0.0103268i
\(245\) 9568.53 + 127683.i 0.0101843 + 0.135900i
\(246\) −693.156 1766.13i −0.000730287 0.00186074i
\(247\) −161823. + 708994.i −0.168771 + 0.739435i
\(248\) 131371. 1.75303e6i 0.135635 1.80992i
\(249\) 5394.65 1664.03i 0.00551397 0.00170083i
\(250\) 695269. + 334824.i 0.703562 + 0.338818i
\(251\) −455537. 789014.i −0.456394 0.790497i 0.542373 0.840137i \(-0.317526\pi\)
−0.998767 + 0.0496405i \(0.984192\pi\)
\(252\) −19402.6 + 33606.4i −0.0192468 + 0.0333365i
\(253\) 690970. 471095.i 0.678669 0.462708i
\(254\) 132809. + 581875.i 0.129165 + 0.565907i
\(255\) −1860.73 + 280.460i −0.00179198 + 0.000270098i
\(256\) 91757.7 115061.i 0.0875070 0.109730i
\(257\) 1.48932e6 1.40655 0.703277 0.710916i \(-0.251719\pi\)
0.703277 + 0.710916i \(0.251719\pi\)
\(258\) −3605.33 + 941.635i −0.00337207 + 0.000880711i
\(259\) −1.27641e6 −1.18234
\(260\) 8464.93 10614.7i 0.00776587 0.00973809i
\(261\) 871085. 131295.i 0.791515 0.119302i
\(262\) −63468.3 278073.i −0.0571221 0.250268i
\(263\) −50203.8 + 34228.4i −0.0447556 + 0.0305139i −0.585491 0.810679i \(-0.699098\pi\)
0.540736 + 0.841193i \(0.318146\pi\)
\(264\) 1531.07 2651.89i 0.00135203 0.00234178i
\(265\) −86767.2 150285.i −0.0758998 0.131462i
\(266\) 1.04273e6 + 502153.i 0.903583 + 0.435143i
\(267\) −476.018 + 146.832i −0.000408644 + 0.000126050i
\(268\) 3022.25 40329.2i 0.00257036 0.0342991i
\(269\) −249026. + 1.09106e6i −0.209828 + 0.919319i 0.754852 + 0.655895i \(0.227709\pi\)
−0.964680 + 0.263423i \(0.915148\pi\)
\(270\) −1275.58 3250.13i −0.00106488 0.00271326i
\(271\) −86544.3 1.15485e6i −0.0715838 0.955220i −0.911180 0.412009i \(-0.864827\pi\)
0.839596 0.543211i \(-0.182792\pi\)
\(272\) −1.60368e6 241716.i −1.31430 0.198099i
\(273\) −1603.83 + 1488.14i −0.00130242 + 0.00120847i
\(274\) −331469. + 159627.i −0.266727 + 0.128449i
\(275\) 696000. + 474525.i 0.554980 + 0.378379i
\(276\) −74.5052 + 189.836i −5.88727e−5 + 0.000150005i
\(277\) −1.37510e6 424164.i −1.07680 0.332150i −0.294886 0.955532i \(-0.595282\pi\)
−0.781917 + 0.623383i \(0.785758\pi\)
\(278\) 1.39642e6 + 1.29569e6i 1.08369 + 1.00552i
\(279\) −1.50875e6 1.89191e6i −1.16039 1.45509i
\(280\) 273860. + 343410.i 0.208753 + 0.261768i
\(281\) 1.70313e6 + 1.58027e6i 1.28671 + 1.19390i 0.969375 + 0.245583i \(0.0789795\pi\)
0.317338 + 0.948312i \(0.397211\pi\)
\(282\) −306.719 94.6102i −0.000229677 7.08460e-5i
\(283\) −857744. + 2.18550e6i −0.636636 + 1.62212i 0.138524 + 0.990359i \(0.455764\pi\)
−0.775161 + 0.631764i \(0.782331\pi\)
\(284\) 3256.66 + 2220.35i 0.00239594 + 0.00163352i
\(285\) −2100.84 + 1011.71i −0.00153208 + 0.000737809i
\(286\) 536568. 497862.i 0.387891 0.359910i
\(287\) 649768. + 97936.7i 0.465643 + 0.0701844i
\(288\) −9855.57 131513.i −0.00700165 0.0934306i
\(289\) 320957. + 817785.i 0.226049 + 0.575963i
\(290\) −109145. + 478197.i −0.0762097 + 0.333896i
\(291\) 238.574 3183.55i 0.000165155 0.00220384i
\(292\) −29565.1 + 9119.62i −0.0202919 + 0.00625921i
\(293\) −1.42284e6 685206.i −0.968252 0.466285i −0.118203 0.992989i \(-0.537713\pi\)
−0.850049 + 0.526704i \(0.823428\pi\)
\(294\) −841.686 1457.84i −0.000567913 0.000983654i
\(295\) 207609. 359590.i 0.138897 0.240576i
\(296\) 1.74908e6 1.19250e6i 1.16033 0.791097i
\(297\) −1875.90 8218.87i −0.00123401 0.00540656i
\(298\) −2.91948e6 + 440041.i −1.90443 + 0.287046i
\(299\) 617866. 774780.i 0.399684 0.501188i
\(300\) −205.418 −0.000131776
\(301\) 341903. 1.24445e6i 0.217514 0.791698i
\(302\) −1.38811e6 −0.875805
\(303\) 245.854 308.291i 0.000153840 0.000192910i
\(304\) −1.98719e6 + 299521.i −1.23326 + 0.185884i
\(305\) −223405. 978801.i −0.137513 0.602483i
\(306\) −1.76174e6 + 1.20113e6i −1.07557 + 0.733309i
\(307\) 562553. 974371.i 0.340657 0.590036i −0.643898 0.765112i \(-0.722684\pi\)
0.984555 + 0.175076i \(0.0560171\pi\)
\(308\) −26084.7 45180.1i −0.0156679 0.0271375i
\(309\) 1162.70 + 559.925i 0.000692740 + 0.000333606i
\(310\) 1.28750e6 397140.i 0.760926 0.234714i
\(311\) 136213. 1.81764e6i 0.0798580 1.06563i −0.802996 0.595984i \(-0.796762\pi\)
0.882854 0.469647i \(-0.155619\pi\)
\(312\) 807.436 3537.61i 0.000469593 0.00205742i
\(313\) 433308. + 1.10405e6i 0.249998 + 0.636984i 0.999692 0.0248000i \(-0.00789490\pi\)
−0.749695 + 0.661784i \(0.769800\pi\)
\(314\) −60203.5 803359.i −0.0344586 0.459818i
\(315\) 597864. + 90113.6i 0.339489 + 0.0511698i
\(316\) 57262.3 53131.6i 0.0322590 0.0299320i
\(317\) −1.07065e6 + 515598.i −0.598411 + 0.288180i −0.708465 0.705746i \(-0.750612\pi\)
0.110054 + 0.993926i \(0.464898\pi\)
\(318\) 1885.04 + 1285.20i 0.00104533 + 0.000712695i
\(319\) −432676. + 1.10244e6i −0.238060 + 0.606566i
\(320\) −694498. 214224.i −0.379137 0.116948i
\(321\) 6973.48 + 6470.44i 0.00377735 + 0.00350487i
\(322\) −983303. 1.23302e6i −0.528503 0.662722i
\(323\) 1.77570e6 + 2.22666e6i 0.947031 + 1.18754i
\(324\) −64940.4 60255.9i −0.0343679 0.0318887i
\(325\) 953847. + 294223.i 0.500922 + 0.154514i
\(326\) 204285. 520510.i 0.106462 0.271260i
\(327\) 2535.62 + 1728.76i 0.00131134 + 0.000894055i
\(328\) −981881. + 472849.i −0.503935 + 0.242682i
\(329\) 81491.9 75613.5i 0.0415073 0.0385132i
\(330\) 2320.73 + 349.794i 0.00117311 + 0.000176818i
\(331\) −237545. 3.16982e6i −0.119172 1.59025i −0.661412 0.750022i \(-0.730043\pi\)
0.542240 0.840224i \(-0.317576\pi\)
\(332\) 58277.6 + 148489.i 0.0290172 + 0.0739347i
\(333\) 648419. 2.84091e6i 0.320439 1.40393i
\(334\) 123460. 1.64746e6i 0.0605565 0.808070i
\(335\) −602129. + 185732.i −0.293141 + 0.0904222i
\(336\) −5447.30 2623.28i −0.00263229 0.00126764i
\(337\) −1.69210e6 2.93081e6i −0.811618 1.40576i −0.911731 0.410787i \(-0.865254\pi\)
0.100113 0.994976i \(-0.468079\pi\)
\(338\) −640830. + 1.10995e6i −0.305106 + 0.528459i
\(339\) 2770.01 1888.56i 0.00130913 0.000892547i
\(340\) −11831.4 51836.8i −0.00555059 0.0243187i
\(341\) 3.21688e6 484866.i 1.49813 0.225806i
\(342\) −1.64735e6 + 2.06571e6i −0.761590 + 0.955003i
\(343\) 2.37196e6 1.08861
\(344\) 694125. + 2.02470e6i 0.316258 + 0.922497i
\(345\) 3177.45 0.00143724
\(346\) −876780. + 1.09945e6i −0.393732 + 0.493724i
\(347\) −2.60037e6 + 391943.i −1.15934 + 0.174743i −0.700418 0.713732i \(-0.747003\pi\)
−0.458925 + 0.888475i \(0.651765\pi\)
\(348\) −64.2643 281.560i −2.84460e−5 0.000124630i
\(349\) 122582. 83575.2i 0.0538721 0.0367294i −0.536085 0.844164i \(-0.680097\pi\)
0.589957 + 0.807435i \(0.299145\pi\)
\(350\) 794288. 1.37575e6i 0.346583 0.600300i
\(351\) −4994.84 8651.31i −0.00216398 0.00374812i
\(352\) 159743. + 76928.2i 0.0687171 + 0.0330924i
\(353\) 3.70320e6 1.14229e6i 1.58176 0.487908i 0.625449 0.780265i \(-0.284916\pi\)
0.956309 + 0.292357i \(0.0944395\pi\)
\(354\) −407.946 + 5443.67i −0.000173019 + 0.00230878i
\(355\) 13665.5 59872.7i 0.00575514 0.0252149i
\(356\) −5142.35 13102.5i −0.00215049 0.00547935i
\(357\) 640.311 + 8544.36i 0.000265901 + 0.00354821i
\(358\) 1.63685e6 + 246716.i 0.674998 + 0.101740i
\(359\) −1.39459e6 + 1.29399e6i −0.571097 + 0.529901i −0.911996 0.410199i \(-0.865459\pi\)
0.340899 + 0.940100i \(0.389269\pi\)
\(360\) −903449. + 435078.i −0.367407 + 0.176934i
\(361\) 870021. + 593170.i 0.351368 + 0.239558i
\(362\) −1.49989e6 + 3.82165e6i −0.601571 + 1.53278i
\(363\) −2756.61 850.301i −0.00109802 0.000338693i
\(364\) −45317.2 42048.2i −0.0179271 0.0166339i
\(365\) 300562. + 376893.i 0.118087 + 0.148076i
\(366\) 8229.66 + 10319.7i 0.00321129 + 0.00402683i
\(367\) 1.11168e6 + 1.03148e6i 0.430837 + 0.399758i 0.865559 0.500806i \(-0.166963\pi\)
−0.434722 + 0.900564i \(0.643154\pi\)
\(368\) 2.61684e6 + 807187.i 1.00730 + 0.310710i
\(369\) −548061. + 1.39644e6i −0.209538 + 0.533894i
\(370\) 1.34056e6 + 913979.i 0.509075 + 0.347082i
\(371\) −711917. + 342841.i −0.268531 + 0.129318i
\(372\) −581.543 + 539.593i −0.000217884 + 0.000202166i
\(373\) −768456. 115826.i −0.285987 0.0431057i 0.00448194 0.999990i \(-0.498573\pi\)
−0.290469 + 0.956884i \(0.593811\pi\)
\(374\) −214218. 2.85855e6i −0.0791914 1.05674i
\(375\) 2586.40 + 6590.04i 0.000949768 + 0.00241997i
\(376\) −41026.4 + 179749.i −0.0149656 + 0.0655686i
\(377\) −104875. + 1.39946e6i −0.0380030 + 0.507115i
\(378\) −15191.7 + 4686.03i −0.00546862 + 0.00168685i
\(379\) 159181. + 76657.7i 0.0569238 + 0.0274131i 0.462129 0.886813i \(-0.347086\pi\)
−0.405205 + 0.914226i \(0.632800\pi\)
\(380\) −32942.5 57058.1i −0.0117030 0.0202702i
\(381\) −2737.67 + 4741.79i −0.000966204 + 0.00167352i
\(382\) −1.73691e6 + 1.18420e6i −0.609001 + 0.415210i
\(383\) 711399. + 3.11684e6i 0.247808 + 1.08572i 0.933711 + 0.358027i \(0.116550\pi\)
−0.685903 + 0.727693i \(0.740593\pi\)
\(384\) 10360.3 1561.57i 0.00358546 0.000540421i
\(385\) −506799. + 635506.i −0.174254 + 0.218508i
\(386\) 3.42563e6 1.17023
\(387\) 2.59608e6 + 1.39315e6i 0.881131 + 0.472848i
\(388\) 90205.3 0.0304195
\(389\) −2.89918e6 + 3.63546e6i −0.971408 + 1.21811i 0.00451446 + 0.999990i \(0.498563\pi\)
−0.975923 + 0.218117i \(0.930008\pi\)
\(390\) 2750.02 414.500i 0.000915535 0.000137995i
\(391\) −863590. 3.78363e6i −0.285671 1.25160i
\(392\) −798918. + 544693.i −0.262595 + 0.179034i
\(393\) 1308.31 2266.06i 0.000427297 0.000740099i
\(394\) 1.83191e6 + 3.17296e6i 0.594516 + 1.02973i
\(395\) −1.09656e6 528077.i −0.353623 0.170296i
\(396\) 113809. 35105.3i 0.0364701 0.0112495i
\(397\) 79163.3 1.05636e6i 0.0252085 0.336384i −0.970313 0.241852i \(-0.922245\pi\)
0.995522 0.0945327i \(-0.0301357\pi\)
\(398\) 801557. 3.51185e6i 0.253645 1.11129i
\(399\) 3878.96 + 9883.43i 0.00121978 + 0.00310796i
\(400\) 206138. + 2.75072e6i 0.0644181 + 0.859600i
\(401\) −4.58026e6 690362.i −1.42242 0.214396i −0.607663 0.794195i \(-0.707893\pi\)
−0.814760 + 0.579799i \(0.803131\pi\)
\(402\) 6072.83 5634.76i 0.00187424 0.00173904i
\(403\) 3.47323e6 1.67262e6i 1.06530 0.513021i
\(404\) 9205.70 + 6276.34i 0.00280610 + 0.00191317i
\(405\) −504276. + 1.28488e6i −0.152768 + 0.389245i
\(406\) 2.13419e6 + 658309.i 0.642565 + 0.198205i
\(407\) 2.87174e6 + 2.66459e6i 0.859329 + 0.797340i
\(408\) −8860.09 11110.2i −0.00263504 0.00330424i
\(409\) −4.01830e6 5.03879e6i −1.18777 1.48942i −0.831934 0.554874i \(-0.812766\pi\)
−0.355840 0.934547i \(-0.615805\pi\)
\(410\) −612296. 568127.i −0.179888 0.166911i
\(411\) −3225.17 994.832i −0.000941776 0.000290499i
\(412\) −13321.7 + 33943.1i −0.00386648 + 0.00985163i
\(413\) −1.56213e6 1.06504e6i −0.450652 0.307249i
\(414\) 3.24386e6 1.56216e6i 0.930168 0.447945i
\(415\) 1.82191e6 1.69049e6i 0.519287 0.481828i
\(416\) 207752. + 31313.6i 0.0588589 + 0.00887155i
\(417\) 1305.97 + 17426.9i 0.000367783 + 0.00490772i
\(418\) −1.29772e6 3.30654e6i −0.363279 0.925620i
\(419\) 74107.0 324684.i 0.0206217 0.0903495i −0.963570 0.267457i \(-0.913817\pi\)
0.984192 + 0.177107i \(0.0566739\pi\)
\(420\) 14.8128 197.663i 4.09745e−6 5.46766e-5i
\(421\) −1.04637e6 + 322761.i −0.287725 + 0.0887515i −0.435258 0.900306i \(-0.643343\pi\)
0.147533 + 0.989057i \(0.452867\pi\)
\(422\) −4.30583e6 2.07358e6i −1.17700 0.566812i
\(423\) 126895. + 219789.i 0.0344821 + 0.0597247i
\(424\) 655243. 1.13491e6i 0.177006 0.306583i
\(425\) 3.22992e6 2.20212e6i 0.867401 0.591384i
\(426\) 179.663 + 787.153i 4.79660e−5 + 0.000210153i
\(427\) −4.52041e6 + 681342.i −1.19980 + 0.180840i
\(428\) −167590. + 210151.i −0.0442220 + 0.0554527i
\(429\) 6714.97 0.00176157
\(430\) −1.25018e6 + 1.06217e6i −0.326062 + 0.277027i
\(431\) −3.83720e6 −0.994996 −0.497498 0.867465i \(-0.665748\pi\)
−0.497498 + 0.867465i \(0.665748\pi\)
\(432\) 17211.9 21583.0i 0.00443730 0.00556420i
\(433\) −1.71259e6 + 258131.i −0.438968 + 0.0661638i −0.364809 0.931083i \(-0.618866\pi\)
−0.0741598 + 0.997246i \(0.523627\pi\)
\(434\) −1.36517e6 5.98121e6i −0.347907 1.52428i
\(435\) −3717.87 + 2534.80i −0.000942044 + 0.000642275i
\(436\) −43356.3 + 75095.3i −0.0109229 + 0.0189189i
\(437\) −2.40452e6 4.16475e6i −0.602316 1.04324i
\(438\) −5710.12 2749.85i −0.00142220 0.000684895i
\(439\) 3.03465e6 936066.i 0.751532 0.231817i 0.104757 0.994498i \(-0.466594\pi\)
0.646775 + 0.762681i \(0.276117\pi\)
\(440\) 100743. 1.34432e6i 0.0248075 0.331033i
\(441\) −296175. + 1.29763e6i −0.0725191 + 0.317727i
\(442\) −1.24100e6 3.16201e6i −0.302145 0.769853i
\(443\) 155421. + 2.07394e6i 0.0376270 + 0.502097i 0.983899 + 0.178725i \(0.0571974\pi\)
−0.946272 + 0.323372i \(0.895184\pi\)
\(444\) −944.643 142.382i −0.000227410 3.42766e-5i
\(445\) −160764. + 149167.i −0.0384847 + 0.0357086i
\(446\) 7.56488e6 3.64306e6i 1.80080 0.867219i
\(447\) −22379.1 15257.8i −0.00529754 0.00361180i
\(448\) −1.20904e6 + 3.08058e6i −0.284606 + 0.725165i
\(449\) 2.36162e6 + 728462.i 0.552832 + 0.170526i 0.558570 0.829457i \(-0.311350\pi\)
−0.00573763 + 0.999984i \(0.501826\pi\)
\(450\) 2.65850e6 + 2.46673e6i 0.618879 + 0.574236i
\(451\) −1.25743e6 1.57677e6i −0.291101 0.365029i
\(452\) 59062.0 + 74061.4i 0.0135976 + 0.0170509i
\(453\) −9334.99 8661.60i −0.00213731 0.00198314i
\(454\) 2.22028e6 + 684865.i 0.505554 + 0.155943i
\(455\) −351898. + 896621.i −0.0796871 + 0.203039i
\(456\) −14549.1 9919.40i −0.00327660 0.00223395i
\(457\) −3.94252e6 + 1.89862e6i −0.883047 + 0.425253i −0.819736 0.572741i \(-0.805880\pi\)
−0.0633102 + 0.997994i \(0.520166\pi\)
\(458\) −2.78439e6 + 2.58354e6i −0.620250 + 0.575508i
\(459\) −38685.2 5830.85i −0.00857063 0.00129182i
\(460\) 6709.31 + 89529.5i 0.00147837 + 0.0197275i
\(461\) 735688. + 1.87450e6i 0.161228 + 0.410803i 0.988544 0.150935i \(-0.0482283\pi\)
−0.827315 + 0.561738i \(0.810133\pi\)
\(462\) 2377.98 10418.6i 0.000518326 0.00227093i
\(463\) −258312. + 3.44694e6i −0.0560005 + 0.747275i 0.896559 + 0.442924i \(0.146059\pi\)
−0.952560 + 0.304352i \(0.901560\pi\)
\(464\) −3.70584e6 + 1.14310e6i −0.799083 + 0.246485i
\(465\) 11136.5 + 5363.03i 0.00238844 + 0.00115021i
\(466\) −4.43125e6 7.67516e6i −0.945283 1.63728i
\(467\) 148704. 257563.i 0.0315523 0.0546502i −0.849818 0.527076i \(-0.823288\pi\)
0.881370 + 0.472426i \(0.156622\pi\)
\(468\) 116608. 79502.0i 0.0246101 0.0167789i
\(469\) 638455. + 2.79725e6i 0.134029 + 0.587219i
\(470\) −139731. + 21061.0i −0.0291775 + 0.00439780i
\(471\) 4607.97 5778.21i 0.000957100 0.00120017i
\(472\) 3.13562e6 0.647842
\(473\) −3.36709e6 + 2.08608e6i −0.691993 + 0.428725i
\(474\) 16001.3 0.00327121
\(475\) 3.02021e6 3.78722e6i 0.614191 0.770171i
\(476\) −239399. + 36083.5i −0.0484288 + 0.00729947i
\(477\) −401407. 1.75868e6i −0.0807772 0.353908i
\(478\) −3.11908e6 + 2.12655e6i −0.624391 + 0.425702i
\(479\) −4.17224e6 + 7.22653e6i −0.830865 + 1.43910i 0.0664886 + 0.997787i \(0.478820\pi\)
−0.897353 + 0.441313i \(0.854513\pi\)
\(480\) 336.827 + 583.401i 6.67273e−5 + 0.000115575i
\(481\) 4.18246e6 + 2.01417e6i 0.824270 + 0.396947i
\(482\) −2.69490e6 + 831266.i −0.528354 + 0.162975i
\(483\) 1081.20 14427.7i 0.000210882 0.00281403i
\(484\) 18137.9 79467.1i 0.00351943 0.0154196i
\(485\) −513476. 1.30832e6i −0.0991211 0.252556i
\(486\) −4068.42 54289.3i −0.000781331 0.0104261i
\(487\) 3.17119e6 + 477980.i 0.605898 + 0.0913244i 0.444824 0.895618i \(-0.353266\pi\)
0.161074 + 0.986942i \(0.448504\pi\)
\(488\) 5.55781e6 5.15689e6i 1.05646 0.980254i
\(489\) 4621.71 2225.70i 0.000874039 0.000420915i
\(490\) −612322. 417474.i −0.115210 0.0785487i
\(491\) −866525. + 2.20787e6i −0.162210 + 0.413304i −0.988751 0.149573i \(-0.952210\pi\)
0.826541 + 0.562877i \(0.190305\pi\)
\(492\) 469.953 + 144.961i 8.75270e−5 + 2.69985e-5i
\(493\) 4.02886e6 + 3.73823e6i 0.746560 + 0.692706i
\(494\) −2.62436e6 3.29084e6i −0.483845 0.606722i
\(495\) −1.15699e6 1.45082e6i −0.212235 0.266134i
\(496\) 7.80919e6 + 7.24587e6i 1.42529 + 1.32247i
\(497\) −267211. 82423.6i −0.0485247 0.0149679i
\(498\) −11937.7 + 30416.9i −0.00215699 + 0.00549593i
\(499\) 6.46060e6 + 4.40476e6i 1.16151 + 0.791901i 0.981443 0.191754i \(-0.0614176\pi\)
0.180062 + 0.983655i \(0.442370\pi\)
\(500\) −180223. + 86791.0i −0.0322393 + 0.0155256i
\(501\) 11110.2 10308.7i 0.00197754 0.00183489i
\(502\) 5.21435e6 + 785937.i 0.923509 + 0.139197i
\(503\) 76819.0 + 1.02508e6i 0.0135378 + 0.180650i 0.999874 + 0.0159020i \(0.00506197\pi\)
−0.986336 + 0.164748i \(0.947319\pi\)
\(504\) 1.66812e6 + 4.25029e6i 0.292516 + 0.745319i
\(505\) 38628.9 169244.i 0.00674037 0.0295315i
\(506\) −361721. + 4.82683e6i −0.0628054 + 0.838080i
\(507\) −11235.5 + 3465.68i −0.00194120 + 0.000598782i
\(508\) −139388. 67125.7i −0.0239644 0.0115406i
\(509\) −3.58451e6 6.20855e6i −0.613246 1.06217i −0.990689 0.136141i \(-0.956530\pi\)
0.377443 0.926033i \(-0.376803\pi\)
\(510\) 5445.73 9432.28i 0.000927109 0.00160580i
\(511\) 1.81361e6 1.23650e6i 0.307250 0.209480i
\(512\) −1.21551e6 5.32550e6i −0.204920 0.897812i
\(513\) −47936.5 + 7225.26i −0.00804216 + 0.00121216i
\(514\) −5.37456e6 + 6.73949e6i −0.897295 + 1.12517i
\(515\) 568133. 0.0943914
\(516\) 391.851 882.847i 6.47883e−5 0.000145969i
\(517\) −341193. −0.0561402
\(518\) 4.60622e6 5.77601e6i 0.754258 0.945810i
\(519\) −12756.7 + 1922.76i −0.00207883 + 0.000313333i
\(520\) −355469. 1.55741e6i −0.0576492 0.252578i
\(521\) −6.26996e6 + 4.27479e6i −1.01198 + 0.689954i −0.951320 0.308204i \(-0.900272\pi\)
−0.0606568 + 0.998159i \(0.519320\pi\)
\(522\) −2.54937e6 + 4.41564e6i −0.409503 + 0.709279i
\(523\) 4.62858e6 + 8.01693e6i 0.739935 + 1.28160i 0.952524 + 0.304463i \(0.0984770\pi\)
−0.212589 + 0.977142i \(0.568190\pi\)
\(524\) 66612.3 + 32078.8i 0.0105981 + 0.00510375i
\(525\) 13926.0 4295.60i 0.00220510 0.000680182i
\(526\) 26281.6 350703.i 0.00414178 0.0552682i
\(527\) 3.35944e6 1.47187e7i 0.526914 2.30856i
\(528\) 6779.38 + 17273.6i 0.00105829 + 0.00269648i
\(529\) 8732.59 + 116528.i 0.00135676 + 0.0181047i
\(530\) 993189. + 149699.i 0.153583 + 0.0231489i
\(531\) 3.16403e6 2.93579e6i 0.486972 0.451844i
\(532\) −270290. + 130165.i −0.0414049 + 0.0199395i
\(533\) −1.97457e6 1.34624e6i −0.301062 0.205260i
\(534\) 1053.37 2683.95i 0.000159856 0.000407307i
\(535\) 4.00196e6 + 1.23444e6i 0.604488 + 0.186460i
\(536\) −3.48825e6 3.23662e6i −0.524439 0.486609i
\(537\) 9468.29 + 11872.9i 0.00141689 + 0.00177672i
\(538\) −4.03857e6 5.06421e6i −0.601551 0.754321i
\(539\) −1.31171e6 1.21709e6i −0.194476 0.180448i
\(540\) 864.832 + 266.765i 0.000127628 + 3.93682e-5i
\(541\) −93162.1 + 237373.i −0.0136850 + 0.0348689i −0.937553 0.347842i \(-0.886914\pi\)
0.923868 + 0.382711i \(0.125010\pi\)
\(542\) 5.53825e6 + 3.77592e6i 0.809794 + 0.552108i
\(543\) −33933.2 + 16341.4i −0.00493884 + 0.00237842i
\(544\) 603156. 559647.i 0.0873841 0.0810806i
\(545\) 1.33596e6 + 201364.i 0.192665 + 0.0290396i
\(546\) −946.333 12627.9i −0.000135851 0.00181280i
\(547\) 540659. + 1.37758e6i 0.0772601 + 0.196856i 0.964285 0.264865i \(-0.0853275\pi\)
−0.887025 + 0.461721i \(0.847232\pi\)
\(548\) 21220.9 92974.7i 0.00301864 0.0132255i
\(549\) 779913. 1.04072e7i 0.110437 1.47368i
\(550\) −4.65899e6 + 1.43711e6i −0.656727 + 0.202574i
\(551\) 6.13590e6 + 2.95489e6i 0.860992 + 0.414632i
\(552\) 11997.6 + 20780.5i 0.00167590 + 0.00290274i
\(553\) −2.77094e6 + 4.79942e6i −0.385314 + 0.667384i
\(554\) 6.88180e6 4.69193e6i 0.952637 0.649497i
\(555\) 3312.12 + 14511.4i 0.000456430 + 0.00199975i
\(556\) −488272. + 73595.2i −0.0669846 + 0.0100963i
\(557\) −5.63827e6 + 7.07017e6i −0.770031 + 0.965588i −0.999971 0.00761684i \(-0.997575\pi\)
0.229940 + 0.973205i \(0.426147\pi\)
\(558\) 1.40059e7 1.90426
\(559\) −3.08405e6 + 3.53820e6i −0.417438 + 0.478909i
\(560\) −2.66174e6 −0.358670
\(561\) 16396.3 20560.3i 0.00219957 0.00275817i
\(562\) −1.32972e7 + 2.00423e6i −1.77590 + 0.267674i
\(563\) −1.29980e6 5.69478e6i −0.172824 0.757192i −0.984827 0.173539i \(-0.944480\pi\)
0.812003 0.583653i \(-0.198377\pi\)
\(564\) 68.7449 46.8695i 9.10003e−6 6.20429e-6i
\(565\) 737970. 1.27820e6i 0.0972563 0.168453i
\(566\) −6.79444e6 1.17683e7i −0.891482 1.54409i
\(567\) 5.66257e6 + 2.72695e6i 0.739701 + 0.356221i
\(568\) 443167. 136699.i 0.0576363 0.0177784i
\(569\) −1.10434e6 + 1.47364e7i −0.142996 + 1.90815i 0.218605 + 0.975813i \(0.429849\pi\)
−0.361601 + 0.932333i \(0.617770\pi\)
\(570\) 3003.16 13157.7i 0.000387161 0.00169626i
\(571\) 1.98425e6 + 5.05577e6i 0.254686 + 0.648929i 0.999839 0.0179646i \(-0.00571862\pi\)
−0.745153 + 0.666894i \(0.767623\pi\)
\(572\) 14178.9 + 189205.i 0.00181198 + 0.0241792i
\(573\) −19069.8 2874.32i −0.00242639 0.000365719i
\(574\) −2.78802e6 + 2.58690e6i −0.353196 + 0.327718i
\(575\) −5.94721e6 + 2.86402e6i −0.750142 + 0.361249i
\(576\) −6.24225e6 4.25590e6i −0.783944 0.534484i
\(577\) 1.28033e6 3.26222e6i 0.160096 0.407918i −0.828207 0.560423i \(-0.810639\pi\)
0.988303 + 0.152504i \(0.0487338\pi\)
\(578\) −4.85888e6 1.49877e6i −0.604946 0.186601i
\(579\) 23037.2 + 21375.4i 0.00285583 + 0.00264983i
\(580\) −79272.4 99404.5i −0.00978480 0.0122698i
\(581\) −7.05596e6 8.84790e6i −0.867193 1.08743i
\(582\) 13545.3 + 12568.2i 0.00165760 + 0.00153803i
\(583\) 2.31741e6 + 714827.i 0.282379 + 0.0871023i
\(584\) −1.33000e6 + 3.38878e6i −0.161368 + 0.411160i
\(585\) −1.81685e6 1.23870e6i −0.219497 0.149650i
\(586\) 8.23534e6 3.96593e6i 0.990690 0.477091i
\(587\) 4.33224e6 4.01973e6i 0.518940 0.481506i −0.376669 0.926348i \(-0.622931\pi\)
0.895609 + 0.444842i \(0.146740\pi\)
\(588\) 431.480 + 65.0351i 5.14656e−5 + 7.75719e-6i
\(589\) −1.39802e6 1.86552e7i −0.166044 2.21571i
\(590\) 878011. + 2.23713e6i 0.103841 + 0.264583i
\(591\) −7479.28 + 32768.9i −0.000880828 + 0.00385916i
\(592\) −958662. + 1.27924e7i −0.112425 + 1.50020i
\(593\) −8.84062e6 + 2.72697e6i −1.03239 + 0.318452i −0.764245 0.644926i \(-0.776888\pi\)
−0.268149 + 0.963377i \(0.586412\pi\)
\(594\) 43961.6 + 21170.8i 0.00511220 + 0.00246190i
\(595\) 1.88608e6 + 3.26678e6i 0.218407 + 0.378292i
\(596\) 382659. 662785.i 0.0441262 0.0764287i
\(597\) 27303.8 18615.4i 0.00313536 0.00213766i
\(598\) 1.27632e6 + 5.59193e6i 0.145951 + 0.639454i
\(599\) −1.18943e7 + 1.79278e6i −1.35448 + 0.204155i −0.785839 0.618431i \(-0.787769\pi\)
−0.568641 + 0.822586i \(0.692531\pi\)
\(600\) −15069.7 + 18896.8i −0.00170894 + 0.00214294i
\(601\) −615059. −0.0694593 −0.0347297 0.999397i \(-0.511057\pi\)
−0.0347297 + 0.999397i \(0.511057\pi\)
\(602\) 4.39753e6 + 6.03804e6i 0.494558 + 0.679055i
\(603\) −6.55019e6 −0.733602
\(604\) 224343. 281317.i 0.0250219 0.0313765i
\(605\) −1.25582e6 + 189284.i −0.139489 + 0.0210245i
\(606\) 507.858 + 2225.07i 5.61773e−5 + 0.000246129i
\(607\) 4.25543e6 2.90130e6i 0.468782 0.319610i −0.305786 0.952100i \(-0.598919\pi\)
0.774569 + 0.632490i \(0.217967\pi\)
\(608\) 509784. 882972.i 0.0559278 0.0968697i
\(609\) 10244.5 + 17744.1i 0.00111931 + 0.00193870i
\(610\) 5.23548e6 + 2.52127e6i 0.569681 + 0.274344i
\(611\) −386345. + 119172.i −0.0418671 + 0.0129143i
\(612\) 41303.8 551160.i 0.00445770 0.0594839i
\(613\) 2.90368e6 1.27218e7i 0.312102 1.36741i −0.538954 0.842335i \(-0.681180\pi\)
0.851057 0.525074i \(-0.175962\pi\)
\(614\) 2.37912e6 + 6.06190e6i 0.254680 + 0.648915i
\(615\) −572.633 7641.26i −6.10504e−5 0.000814661i
\(616\) −6.06981e6 914877.i −0.644501 0.0971429i
\(617\) 1.02637e7 9.52335e6i 1.08541 1.00711i 0.0854645 0.996341i \(-0.472763\pi\)
0.999942 0.0107688i \(-0.00342789\pi\)
\(618\) −6729.62 + 3240.82i −0.000708793 + 0.000341337i
\(619\) −1.38699e7 9.45633e6i −1.45494 0.991964i −0.994551 0.104249i \(-0.966756\pi\)
−0.460393 0.887715i \(-0.652292\pi\)
\(620\) −127597. + 325111.i −0.0133309 + 0.0339666i
\(621\) 63125.2 + 19471.6i 0.00656862 + 0.00202615i
\(622\) 7.73363e6 + 7.17576e6i 0.801507 + 0.743690i
\(623\) 622611. + 780730.i 0.0642683 + 0.0805899i
\(624\) 13709.9 + 17191.6i 0.00140952 + 0.00176748i
\(625\) −3.62224e6 3.36095e6i −0.370917 0.344161i
\(626\) −6.55974e6 2.02341e6i −0.669038 0.206371i
\(627\) 11905.2 30333.9i 0.00120939 0.00308148i
\(628\) 172540. + 117636.i 0.0174578 + 0.0119026i
\(629\) 1.63796e7 7.88800e6i 1.65073 0.794951i
\(630\) −2.56531e6 + 2.38026e6i −0.257507 + 0.238931i
\(631\) 1.37120e7 + 2.06674e6i 1.37096 + 0.206639i 0.792900 0.609352i \(-0.208570\pi\)
0.578064 + 0.815992i \(0.303808\pi\)
\(632\) −686857. 9.16547e6i −0.0684028 0.912772i
\(633\) −16017.7 40812.4i −0.00158888 0.00404839i
\(634\) 1.53050e6 6.70556e6i 0.151220 0.662539i
\(635\) −180136. + 2.40375e6i −0.0177283 + 0.236567i
\(636\) −565.117 + 174.315i −5.53982e−5 + 1.70881e-5i
\(637\) −1.91040e6 920002.i −0.186542 0.0898339i
\(638\) −3.42735e6 5.93634e6i −0.333355 0.577388i
\(639\) 319194. 552860.i 0.0309245 0.0535628i
\(640\) 3.81110e6 2.59836e6i 0.367790 0.250755i
\(641\) 3.77469e6 + 1.65380e7i 0.362857 + 1.58978i 0.745905 + 0.666052i \(0.232017\pi\)
−0.383048 + 0.923729i \(0.625126\pi\)
\(642\) −54445.4 + 8206.33i −0.00521343 + 0.000785799i
\(643\) −83434.6 + 104624.i −0.00795827 + 0.00997935i −0.785795 0.618487i \(-0.787746\pi\)
0.777836 + 0.628467i \(0.216317\pi\)
\(644\) 408805. 0.0388420
\(645\) −15035.1 657.872i −0.00142301 6.22648e-5i
\(646\) −1.64841e7 −1.55412
\(647\) −3.13191e6 + 3.92729e6i −0.294136 + 0.368835i −0.906838 0.421479i \(-0.861511\pi\)
0.612702 + 0.790314i \(0.290083\pi\)
\(648\) −1.03072e7 + 1.55356e6i −0.964277 + 0.145341i
\(649\) 1.29122e6 + 5.65723e6i 0.120335 + 0.527220i
\(650\) −4.77359e6 + 3.25458e6i −0.443161 + 0.302142i
\(651\) 28141.1 48741.8i 0.00260249 0.00450764i
\(652\) 72471.5 + 125524.i 0.00667649 + 0.0115640i
\(653\) −5.62158e6 2.70721e6i −0.515911 0.248450i 0.157765 0.987477i \(-0.449571\pi\)
−0.673676 + 0.739027i \(0.735286\pi\)
\(654\) −16973.3 + 5235.57i −0.00155175 + 0.000478652i
\(655\) 86085.5 1.14873e6i 0.00784019 0.104620i
\(656\) 1.46956e6 6.43855e6i 0.133330 0.584155i
\(657\) 1.83076e6 + 4.66471e6i 0.165470 + 0.421610i
\(658\) 48083.9 + 641635.i 0.00432947 + 0.0577728i
\(659\) 5.19812e6 + 783491.i 0.466265 + 0.0702782i 0.377973 0.925816i \(-0.376621\pi\)
0.0882919 + 0.996095i \(0.471859\pi\)
\(660\) −445.960 + 413.791i −3.98507e−5 + 3.69761e-5i
\(661\) 6.14105e6 2.95738e6i 0.546688 0.263271i −0.140090 0.990139i \(-0.544739\pi\)
0.686777 + 0.726868i \(0.259025\pi\)
\(662\) 1.52013e7 + 1.03641e7i 1.34814 + 0.919147i
\(663\) 11384.8 29008.0i 0.00100587 0.00256292i
\(664\) 1.79351e7 + 5.53225e6i 1.57864 + 0.486946i
\(665\) 3.42646e6 + 3.17929e6i 0.300463 + 0.278789i
\(666\) 1.05157e7 + 1.31863e7i 0.918657 + 1.15196i
\(667\) −5.78620e6 7.25566e6i −0.503592 0.631484i
\(668\) 313924. + 291279.i 0.0272197 + 0.0252562i
\(669\) 73605.6 + 22704.3i 0.00635836 + 0.00196130i
\(670\) 1.33244e6 3.39501e6i 0.114673 0.292182i
\(671\) 1.15926e7 + 7.90372e6i 0.993975 + 0.677680i
\(672\) 2763.63 1330.90i 0.000236079 0.000113690i
\(673\) −7.76431e6 + 7.20423e6i −0.660793 + 0.613126i −0.937565 0.347810i \(-0.886926\pi\)
0.276773 + 0.960935i \(0.410735\pi\)
\(674\) 1.93688e7 + 2.91938e6i 1.64230 + 0.247537i
\(675\) 4972.61 + 66354.9i 0.000420074 + 0.00560549i
\(676\) −121375. 309259.i −0.0102156 0.0260289i
\(677\) 4.50135e6 1.97217e7i 0.377460 1.65376i −0.327750 0.944764i \(-0.606290\pi\)
0.705211 0.708998i \(-0.250852\pi\)
\(678\) −1450.09 + 19350.1i −0.000121149 + 0.00161662i
\(679\) −6.11533e6 + 1.88633e6i −0.509032 + 0.157016i
\(680\) −5.63654e6 2.71441e6i −0.467455 0.225115i
\(681\) 10657.8 + 18459.9i 0.000880644 + 0.00152532i
\(682\) −9.41471e6 + 1.63068e7i −0.775079 + 1.34248i
\(683\) 2.05320e6 1.39985e6i 0.168415 0.114823i −0.476179 0.879348i \(-0.657979\pi\)
0.644594 + 0.764525i \(0.277026\pi\)
\(684\) −152400. 667710.i −0.0124551 0.0545692i
\(685\) −1.46928e6 + 221458.i −0.119640 + 0.0180329i
\(686\) −8.55977e6 + 1.07336e7i −0.694467 + 0.870834i
\(687\) −34845.8 −0.00281681
\(688\) −1.22153e7 4.36127e6i −0.983859 0.351271i
\(689\) 2.87377e6 0.230623
\(690\) −11466.5 + 14378.6i −0.000916873 + 0.00114972i
\(691\) −1.22691e6 + 184928.i −0.0977505 + 0.0147335i −0.197735 0.980255i \(-0.563359\pi\)
0.0999848 + 0.994989i \(0.468121\pi\)
\(692\) −81113.0 355379.i −0.00643910 0.0282115i
\(693\) −6.98137e6 + 4.75981e6i −0.552214 + 0.376493i
\(694\) 7.61041e6 1.31816e7i 0.599804 1.03889i
\(695\) 3.84680e6 + 6.66286e6i 0.302091 + 0.523237i
\(696\) −30615.8 14743.8i −0.00239565 0.00115368i
\(697\) −8.94341e6 + 2.75868e6i −0.697302 + 0.215089i
\(698\) −64171.5 + 856309.i −0.00498544 + 0.0665261i
\(699\) 18091.8 79265.4i 0.00140052 0.00613607i
\(700\) 150440. + 383316.i 0.0116043 + 0.0295673i
\(701\) 1.64617e6 + 2.19666e7i 0.126526 + 1.68837i 0.594081 + 0.804405i \(0.297516\pi\)
−0.467555 + 0.883964i \(0.654865\pi\)
\(702\) 57173.9 + 8617.58i 0.00437880 + 0.000659998i
\(703\) 1.65139e7 1.53227e7i 1.26026 1.16935i
\(704\) 9.15106e6 4.40692e6i 0.695888 0.335122i
\(705\) −1071.10 730.264i −8.11629e−5 5.53359e-5i
\(706\) −8.19476e6 + 2.08799e7i −0.618763 + 1.57658i
\(707\) −755334. 232990.i −0.0568317 0.0175302i
\(708\) −1037.29 962.465i −7.77710e−5 7.21609e-5i
\(709\) −742809. 931453.i −0.0554960 0.0695897i 0.753309 0.657667i \(-0.228457\pi\)
−0.808805 + 0.588077i \(0.799885\pi\)
\(710\) 221620. + 277903.i 0.0164992 + 0.0206894i
\(711\) −9.27443e6 8.60541e6i −0.688039 0.638407i
\(712\) −1.58258e6 488160.i −0.116994 0.0360879i
\(713\) −9.31345e6 + 2.37303e7i −0.686099 + 1.74815i
\(714\) −40975.6 27936.7i −0.00300802 0.00205083i
\(715\) 2.66347e6 1.28266e6i 0.194842 0.0938310i
\(716\) −314544. + 291854.i −0.0229297 + 0.0212757i
\(717\) −34245.0 5161.60i −0.00248771 0.000374961i
\(718\) −822871. 1.09804e7i −0.0595690 0.794893i
\(719\) 5.58790e6 + 1.42377e7i 0.403113 + 1.02711i 0.977949 + 0.208846i \(0.0669706\pi\)
−0.574836 + 0.818269i \(0.694934\pi\)
\(720\) 1.35217e6 5.92424e6i 0.0972075 0.425894i
\(721\) 193321. 2.57969e6i 0.0138497 0.184812i
\(722\) −5.82388e6 + 1.79643e6i −0.415786 + 0.128253i
\(723\) −23310.0 11225.5i −0.00165843 0.000798657i
\(724\) −532094. 921614.i −0.0377261 0.0653436i
\(725\) 4.67395e6 8.09551e6i 0.330247 0.572004i
\(726\) 13795.6 9405.69i 0.000971403 0.000662292i
\(727\) −3.78770e6 1.65950e7i −0.265791 1.16451i −0.914859 0.403775i \(-0.867698\pi\)
0.649068 0.760731i \(-0.275159\pi\)
\(728\) −7.19262e6 + 1.08411e6i −0.502989 + 0.0758134i
\(729\) −8.94577e6 + 1.12176e7i −0.623446 + 0.781777i
\(730\) −2.79016e6 −0.193786
\(731\) 3.30298e6 + 1.80823e7i 0.228619 + 1.25159i
\(732\) −3421.46 −0.000236012
\(733\) 1.30154e7 1.63208e7i 0.894744 1.12197i −0.0971956 0.995265i \(-0.530987\pi\)
0.991940 0.126709i \(-0.0404413\pi\)
\(734\) −8.67940e6 + 1.30821e6i −0.594634 + 0.0896266i
\(735\) −1512.86 6628.28i −0.000103295 0.000452567i
\(736\) −1.14794e6 + 782649.i −0.0781129 + 0.0532565i
\(737\) 4.40301e6 7.62624e6i 0.298594 0.517180i
\(738\) −4.34135e6 7.51944e6i −0.293416 0.508212i
\(739\) 1.15090e7 + 5.54245e6i 0.775224 + 0.373328i 0.779290 0.626664i \(-0.215580\pi\)
−0.00406622 + 0.999992i \(0.501294\pi\)
\(740\) −401886. + 123965.i −0.0269789 + 0.00832188i
\(741\) 2885.65 38506.4i 0.000193063 0.00257624i
\(742\) 1.01769e6 4.45878e6i 0.0678586 0.297308i
\(743\) −6.43627e6 1.63994e7i −0.427723 1.08982i −0.968579 0.248705i \(-0.919995\pi\)
0.540857 0.841115i \(-0.318100\pi\)
\(744\) 6975.57 + 93082.5i 0.000462006 + 0.00616504i
\(745\) −1.17911e7 1.77722e6i −0.778329 0.117314i
\(746\) 3.29728e6 3.05943e6i 0.216925 0.201277i
\(747\) 2.32772e7 1.12097e7i 1.52626 0.735010i
\(748\) 613939. + 418577.i 0.0401210 + 0.0273540i
\(749\) 6.96693e6 1.77514e7i 0.453771 1.15619i
\(750\) −39154.9 12077.7i −0.00254175 0.000784025i
\(751\) −1.46114e7 1.35574e7i −0.945349 0.877156i 0.0472140 0.998885i \(-0.484966\pi\)
−0.992563 + 0.121729i \(0.961156\pi\)
\(752\) −696608. 873519.i −0.0449204 0.0563284i
\(753\) 30162.1 + 37822.1i 0.00193854 + 0.00243085i
\(754\) −5.95436e6 5.52484e6i −0.381423 0.353908i
\(755\)