Properties

Label 27.6.e.a.4.12
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.12

$q$-expansion

\(f(q)\) \(=\) \(q+(8.01235 + 2.91626i) q^{2} +(10.1819 - 11.8038i) q^{3} +(31.1798 + 26.1630i) q^{4} +(-3.30454 + 18.7410i) q^{5} +(116.004 - 64.8829i) q^{6} +(-6.74337 + 5.65836i) q^{7} +(37.1007 + 64.2603i) q^{8} +(-35.6577 - 240.370i) q^{9} +O(q^{10})\) \(q+(8.01235 + 2.91626i) q^{2} +(10.1819 - 11.8038i) q^{3} +(31.1798 + 26.1630i) q^{4} +(-3.30454 + 18.7410i) q^{5} +(116.004 - 64.8829i) q^{6} +(-6.74337 + 5.65836i) q^{7} +(37.1007 + 64.2603i) q^{8} +(-35.6577 - 240.370i) q^{9} +(-81.1307 + 140.523i) q^{10} +(81.7910 + 463.860i) q^{11} +(626.292 - 101.650i) q^{12} +(-883.772 + 321.667i) q^{13} +(-70.5315 + 25.6714i) q^{14} +(187.568 + 229.825i) q^{15} +(-116.308 - 659.617i) q^{16} +(380.791 - 659.550i) q^{17} +(415.278 - 2029.91i) q^{18} +(40.7246 + 70.5370i) q^{19} +(-593.355 + 497.884i) q^{20} +(-1.87040 + 137.210i) q^{21} +(-697.397 + 3955.13i) q^{22} +(-2601.59 - 2182.99i) q^{23} +(1136.27 + 216.364i) q^{24} +(2596.23 + 944.952i) q^{25} -8019.16 q^{26} +(-3200.33 - 2026.52i) q^{27} -358.297 q^{28} +(558.459 + 203.263i) q^{29} +(832.630 + 2388.44i) q^{30} +(7078.78 + 5939.80i) q^{31} +(1404.03 - 7962.64i) q^{32} +(6308.08 + 3757.53i) q^{33} +(4974.45 - 4174.06i) q^{34} +(-83.7595 - 145.076i) q^{35} +(5176.98 - 8427.59i) q^{36} +(392.306 - 679.493i) q^{37} +(120.596 + 683.931i) q^{38} +(-5201.60 + 13707.0i) q^{39} +(-1326.90 + 482.953i) q^{40} +(17791.0 - 6475.38i) q^{41} +(-415.126 + 1093.92i) q^{42} +(1368.62 + 7761.85i) q^{43} +(-9585.73 + 16603.0i) q^{44} +(4622.60 + 126.051i) q^{45} +(-14478.7 - 25077.8i) q^{46} +(2902.57 - 2435.54i) q^{47} +(-8970.21 - 5343.28i) q^{48} +(-2905.05 + 16475.4i) q^{49} +(18046.2 + 15142.6i) q^{50} +(-3907.99 - 11210.2i) q^{51} +(-35971.6 - 13092.6i) q^{52} -28430.8 q^{53} +(-19732.3 - 25570.2i) q^{54} -8963.48 q^{55} +(-613.791 - 223.402i) q^{56} +(1247.26 + 237.498i) q^{57} +(3881.81 + 3257.22i) q^{58} +(358.894 - 2035.39i) q^{59} +(-164.578 + 12073.2i) q^{60} +(17772.3 - 14912.7i) q^{61} +(39395.7 + 68235.4i) q^{62} +(1600.55 + 1419.14i) q^{63} +(23754.0 - 41143.1i) q^{64} +(-3107.89 - 17625.7i) q^{65} +(39584.6 + 48502.7i) q^{66} +(1515.29 - 551.522i) q^{67} +(29128.8 - 10602.0i) q^{68} +(-52256.6 + 8481.52i) q^{69} +(-248.033 - 1406.66i) q^{70} +(34769.1 - 60221.8i) q^{71} +(14123.3 - 11209.2i) q^{72} +(15419.1 + 26706.7i) q^{73} +(5124.87 - 4300.28i) q^{74} +(37588.6 - 21023.9i) q^{75} +(-575.674 + 3264.81i) q^{76} +(-3176.23 - 2665.18i) q^{77} +(-81650.3 + 94656.3i) q^{78} +(-94147.3 - 34266.8i) q^{79} +12746.2 q^{80} +(-56506.1 + 17142.1i) q^{81} +161431. q^{82} +(-87621.8 - 31891.7i) q^{83} +(-3648.14 + 4229.25i) q^{84} +(11102.3 + 9315.91i) q^{85} +(-11669.7 + 66182.0i) q^{86} +(8085.44 - 4522.32i) q^{87} +(-26773.3 + 22465.4i) q^{88} +(-17585.7 - 30459.4i) q^{89} +(36670.3 + 14490.6i) q^{90} +(4139.50 - 7169.82i) q^{91} +(-24003.5 - 136131. i) q^{92} +(142188. - 23077.8i) q^{93} +(30359.1 - 11049.8i) q^{94} +(-1456.51 + 530.126i) q^{95} +(-79693.5 - 97647.7i) q^{96} +(21720.4 + 123182. i) q^{97} +(-71322.7 + 123534. i) q^{98} +(108581. - 36200.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 8.01235 + 2.91626i 1.41640 + 0.515526i 0.933001 0.359875i \(-0.117181\pi\)
0.483397 + 0.875401i \(0.339403\pi\)
\(3\) 10.1819 11.8038i 0.653169 0.757212i
\(4\) 31.1798 + 26.1630i 0.974370 + 0.817593i
\(5\) −3.30454 + 18.7410i −0.0591135 + 0.335249i −0.999994 0.00348971i \(-0.998889\pi\)
0.940880 + 0.338739i \(0.110000\pi\)
\(6\) 116.004 64.8829i 1.31551 0.735787i
\(7\) −6.74337 + 5.65836i −0.0520154 + 0.0436461i −0.668425 0.743780i \(-0.733031\pi\)
0.616409 + 0.787426i \(0.288587\pi\)
\(8\) 37.1007 + 64.2603i 0.204954 + 0.354991i
\(9\) −35.6577 240.370i −0.146740 0.989175i
\(10\) −81.1307 + 140.523i −0.256558 + 0.444371i
\(11\) 81.7910 + 463.860i 0.203809 + 1.15586i 0.899303 + 0.437327i \(0.144075\pi\)
−0.695493 + 0.718533i \(0.744814\pi\)
\(12\) 626.292 101.650i 1.25552 0.203777i
\(13\) −883.772 + 321.667i −1.45038 + 0.527895i −0.942698 0.333648i \(-0.891720\pi\)
−0.507683 + 0.861544i \(0.669498\pi\)
\(14\) −70.5315 + 25.6714i −0.0961752 + 0.0350049i
\(15\) 187.568 + 229.825i 0.215243 + 0.263736i
\(16\) −116.308 659.617i −0.113582 0.644157i
\(17\) 380.791 659.550i 0.319569 0.553510i −0.660829 0.750536i \(-0.729795\pi\)
0.980398 + 0.197027i \(0.0631286\pi\)
\(18\) 415.278 2029.91i 0.302104 1.47671i
\(19\) 40.7246 + 70.5370i 0.0258805 + 0.0448263i 0.878676 0.477419i \(-0.158428\pi\)
−0.852795 + 0.522246i \(0.825094\pi\)
\(20\) −593.355 + 497.884i −0.331696 + 0.278326i
\(21\) −1.87040 + 137.210i −0.000925520 + 0.0678950i
\(22\) −697.397 + 3955.13i −0.307201 + 1.74223i
\(23\) −2601.59 2182.99i −1.02546 0.860463i −0.0351563 0.999382i \(-0.511193\pi\)
−0.990304 + 0.138919i \(0.955637\pi\)
\(24\) 1136.27 + 216.364i 0.402673 + 0.0766756i
\(25\) 2596.23 + 944.952i 0.830795 + 0.302385i
\(26\) −8019.16 −2.32646
\(27\) −3200.33 2026.52i −0.844861 0.534986i
\(28\) −358.297 −0.0863670
\(29\) 558.459 + 203.263i 0.123310 + 0.0448810i 0.402938 0.915227i \(-0.367989\pi\)
−0.279628 + 0.960108i \(0.590211\pi\)
\(30\) 832.630 + 2388.44i 0.168907 + 0.484518i
\(31\) 7078.78 + 5939.80i 1.32298 + 1.11011i 0.985663 + 0.168725i \(0.0539649\pi\)
0.337320 + 0.941390i \(0.390480\pi\)
\(32\) 1404.03 7962.64i 0.242382 1.37462i
\(33\) 6308.08 + 3757.53i 1.00835 + 0.600645i
\(34\) 4974.45 4174.06i 0.737985 0.619243i
\(35\) −83.7595 145.076i −0.0115575 0.0200182i
\(36\) 5176.98 8427.59i 0.665764 1.08380i
\(37\) 392.306 679.493i 0.0471108 0.0815983i −0.841508 0.540244i \(-0.818332\pi\)
0.888619 + 0.458646i \(0.151665\pi\)
\(38\) 120.596 + 683.931i 0.0135479 + 0.0768340i
\(39\) −5201.60 + 13707.0i −0.547616 + 1.44305i
\(40\) −1326.90 + 482.953i −0.131126 + 0.0477260i
\(41\) 17791.0 6475.38i 1.65288 0.601597i 0.663656 0.748038i \(-0.269004\pi\)
0.989219 + 0.146441i \(0.0467817\pi\)
\(42\) −415.126 + 1093.92i −0.0363126 + 0.0956891i
\(43\) 1368.62 + 7761.85i 0.112879 + 0.640168i 0.987779 + 0.155864i \(0.0498162\pi\)
−0.874900 + 0.484304i \(0.839073\pi\)
\(44\) −9585.73 + 16603.0i −0.746437 + 1.29287i
\(45\) 4622.60 + 126.051i 0.340294 + 0.00927926i
\(46\) −14478.7 25077.8i −1.00887 1.74741i
\(47\) 2902.57 2435.54i 0.191663 0.160824i −0.541907 0.840439i \(-0.682297\pi\)
0.733569 + 0.679615i \(0.237853\pi\)
\(48\) −8970.21 5343.28i −0.561952 0.334738i
\(49\) −2905.05 + 16475.4i −0.172848 + 0.980267i
\(50\) 18046.2 + 15142.6i 1.02085 + 0.856594i
\(51\) −3907.99 11210.2i −0.210391 0.603517i
\(52\) −35971.6 13092.6i −1.84481 0.671456i
\(53\) −28430.8 −1.39027 −0.695136 0.718878i \(-0.744656\pi\)
−0.695136 + 0.718878i \(0.744656\pi\)
\(54\) −19732.3 25570.2i −0.920859 1.19330i
\(55\) −8963.48 −0.399549
\(56\) −613.791 223.402i −0.0261548 0.00951955i
\(57\) 1247.26 + 237.498i 0.0508474 + 0.00968217i
\(58\) 3881.81 + 3257.22i 0.151518 + 0.127139i
\(59\) 358.894 2035.39i 0.0134226 0.0761233i −0.977361 0.211580i \(-0.932139\pi\)
0.990783 + 0.135457i \(0.0432502\pi\)
\(60\) −164.578 + 12073.2i −0.00590192 + 0.432958i
\(61\) 17772.3 14912.7i 0.611531 0.513136i −0.283597 0.958943i \(-0.591528\pi\)
0.895129 + 0.445808i \(0.147083\pi\)
\(62\) 39395.7 + 68235.4i 1.30158 + 2.25440i
\(63\) 1600.55 + 1419.14i 0.0508064 + 0.0450477i
\(64\) 23754.0 41143.1i 0.724915 1.25559i
\(65\) −3107.89 17625.7i −0.0912394 0.517445i
\(66\) 39584.6 + 48502.7i 1.11858 + 1.37058i
\(67\) 1515.29 551.522i 0.0412392 0.0150098i −0.321318 0.946971i \(-0.604126\pi\)
0.362557 + 0.931961i \(0.381904\pi\)
\(68\) 29128.8 10602.0i 0.763924 0.278046i
\(69\) −52256.6 + 8481.52i −1.32135 + 0.214462i
\(70\) −248.033 1406.66i −0.00605011 0.0343119i
\(71\) 34769.1 60221.8i 0.818554 1.41778i −0.0881943 0.996103i \(-0.528110\pi\)
0.906748 0.421673i \(-0.138557\pi\)
\(72\) 14123.3 11209.2i 0.321074 0.254827i
\(73\) 15419.1 + 26706.7i 0.338651 + 0.586560i 0.984179 0.177176i \(-0.0566962\pi\)
−0.645528 + 0.763736i \(0.723363\pi\)
\(74\) 5124.87 4300.28i 0.108794 0.0912887i
\(75\) 37588.6 21023.9i 0.771619 0.431579i
\(76\) −575.674 + 3264.81i −0.0114325 + 0.0648371i
\(77\) −3176.23 2665.18i −0.0610500 0.0512270i
\(78\) −81650.3 + 94656.3i −1.51957 + 1.76162i
\(79\) −94147.3 34266.8i −1.69723 0.617741i −0.701724 0.712449i \(-0.747586\pi\)
−0.995505 + 0.0947086i \(0.969808\pi\)
\(80\) 12746.2 0.222667
\(81\) −56506.1 + 17142.1i −0.956935 + 0.290302i
\(82\) 161431. 2.65127
\(83\) −87621.8 31891.7i −1.39610 0.508139i −0.469082 0.883154i \(-0.655415\pi\)
−0.927019 + 0.375015i \(0.877637\pi\)
\(84\) −3648.14 + 4229.25i −0.0564123 + 0.0653981i
\(85\) 11102.3 + 9315.91i 0.166673 + 0.139855i
\(86\) −11669.7 + 66182.0i −0.170142 + 0.964925i
\(87\) 8085.44 4522.32i 0.114526 0.0640565i
\(88\) −26773.3 + 22465.4i −0.368548 + 0.309249i
\(89\) −17585.7 30459.4i −0.235334 0.407611i 0.724036 0.689763i \(-0.242285\pi\)
−0.959370 + 0.282152i \(0.908952\pi\)
\(90\) 36670.3 + 14490.6i 0.477208 + 0.188574i
\(91\) 4139.50 7169.82i 0.0524016 0.0907621i
\(92\) −24003.5 136131.i −0.295668 1.67682i
\(93\) 142188. 23077.8i 1.70472 0.276686i
\(94\) 30359.1 11049.8i 0.354379 0.128984i
\(95\) −1456.51 + 530.126i −0.0165579 + 0.00602657i
\(96\) −79693.5 97647.7i −0.882561 1.08139i
\(97\) 21720.4 + 123182.i 0.234389 + 1.32929i 0.843896 + 0.536507i \(0.180256\pi\)
−0.609507 + 0.792781i \(0.708632\pi\)
\(98\) −71322.7 + 123534.i −0.750175 + 1.29934i
\(99\) 108581. 36200.3i 1.11344 0.371213i
\(100\) 56227.4 + 97388.7i 0.562274 + 0.973887i
\(101\) −42910.7 + 36006.4i −0.418564 + 0.351217i −0.827617 0.561294i \(-0.810304\pi\)
0.409052 + 0.912511i \(0.365859\pi\)
\(102\) 1379.75 101217.i 0.0131311 0.963282i
\(103\) −5626.96 + 31912.1i −0.0522614 + 0.296389i −0.999724 0.0234763i \(-0.992527\pi\)
0.947463 + 0.319865i \(0.103638\pi\)
\(104\) −53458.9 44857.4i −0.484660 0.406678i
\(105\) −2565.27 488.469i −0.0227070 0.00432379i
\(106\) −227798. 82911.7i −1.96918 0.716722i
\(107\) 80401.9 0.678901 0.339451 0.940624i \(-0.389759\pi\)
0.339451 + 0.940624i \(0.389759\pi\)
\(108\) −46765.8 146917.i −0.385806 1.21203i
\(109\) −168646. −1.35960 −0.679799 0.733398i \(-0.737933\pi\)
−0.679799 + 0.733398i \(0.737933\pi\)
\(110\) −71818.6 26139.8i −0.565920 0.205978i
\(111\) −4026.16 11549.2i −0.0310159 0.0889703i
\(112\) 4516.66 + 3789.93i 0.0340230 + 0.0285487i
\(113\) −20862.2 + 118316.i −0.153697 + 0.871658i 0.806271 + 0.591547i \(0.201483\pi\)
−0.959968 + 0.280111i \(0.909629\pi\)
\(114\) 9300.85 + 5540.24i 0.0670287 + 0.0399270i
\(115\) 49508.5 41542.5i 0.349088 0.292920i
\(116\) 12094.7 + 20948.7i 0.0834546 + 0.144548i
\(117\) 108832. + 200962.i 0.735009 + 1.35722i
\(118\) 8811.31 15261.6i 0.0582553 0.100901i
\(119\) 1164.15 + 6602.24i 0.00753603 + 0.0427390i
\(120\) −7809.72 + 20579.8i −0.0495088 + 0.130463i
\(121\) −57137.8 + 20796.5i −0.354781 + 0.129130i
\(122\) 185887. 67657.4i 1.13071 0.411544i
\(123\) 104712. 275932.i 0.624071 1.64452i
\(124\) 65312.2 + 370404.i 0.381452 + 2.16332i
\(125\) −56023.2 + 97035.1i −0.320696 + 0.555461i
\(126\) 8685.61 + 16038.2i 0.0487387 + 0.0899975i
\(127\) −84232.1 145894.i −0.463413 0.802655i 0.535715 0.844399i \(-0.320042\pi\)
−0.999128 + 0.0417436i \(0.986709\pi\)
\(128\) 112107. 94068.8i 0.604793 0.507482i
\(129\) 105554. + 62875.5i 0.558472 + 0.332665i
\(130\) 26499.7 150287.i 0.137525 0.779943i
\(131\) 59520.8 + 49943.9i 0.303033 + 0.254275i 0.781606 0.623773i \(-0.214401\pi\)
−0.478572 + 0.878048i \(0.658845\pi\)
\(132\) 98376.6 + 282197.i 0.491425 + 1.40967i
\(133\) −673.745 245.223i −0.00330268 0.00120208i
\(134\) 13749.4 0.0661490
\(135\) 48554.7 53280.6i 0.229296 0.251614i
\(136\) 56510.4 0.261988
\(137\) 52452.8 + 19091.3i 0.238763 + 0.0869027i 0.458630 0.888627i \(-0.348340\pi\)
−0.219867 + 0.975530i \(0.570562\pi\)
\(138\) −443433. 84436.8i −1.98212 0.377428i
\(139\) 183151. + 153682.i 0.804032 + 0.674663i 0.949175 0.314748i \(-0.101920\pi\)
−0.145144 + 0.989411i \(0.546364\pi\)
\(140\) 1184.01 6714.83i 0.00510545 0.0289544i
\(141\) 805.080 59059.7i 0.00341029 0.250175i
\(142\) 454204. 381123.i 1.89030 1.58615i
\(143\) −221493. 383637.i −0.905774 1.56885i
\(144\) −154405. + 51477.4i −0.620518 + 0.206876i
\(145\) −5654.80 + 9794.39i −0.0223356 + 0.0386863i
\(146\) 45659.8 + 258949.i 0.177277 + 1.00539i
\(147\) 164892. + 202041.i 0.629371 + 0.771163i
\(148\) 30009.6 10922.6i 0.112618 0.0409894i
\(149\) 52893.0 19251.5i 0.195179 0.0710392i −0.242581 0.970131i \(-0.577994\pi\)
0.437760 + 0.899092i \(0.355772\pi\)
\(150\) 362484. 58833.1i 1.31541 0.213498i
\(151\) −25712.0 145820.i −0.0917685 0.520445i −0.995690 0.0927461i \(-0.970435\pi\)
0.903921 0.427699i \(-0.140676\pi\)
\(152\) −3021.82 + 5233.94i −0.0106086 + 0.0183747i
\(153\) −172114. 68012.6i −0.594411 0.234888i
\(154\) −17676.8 30617.0i −0.0600622 0.104031i
\(155\) −134710. + 113035.i −0.450371 + 0.377906i
\(156\) −520802. + 291293.i −1.71341 + 0.958338i
\(157\) −53026.0 + 300725.i −0.171688 + 0.973691i 0.770210 + 0.637791i \(0.220151\pi\)
−0.941898 + 0.335900i \(0.890960\pi\)
\(158\) −654411. 549116.i −2.08549 1.74993i
\(159\) −289480. + 335591.i −0.908083 + 1.05273i
\(160\) 144588. + 52625.8i 0.446512 + 0.162517i
\(161\) 29895.6 0.0908956
\(162\) −502737. 27438.0i −1.50506 0.0821420i
\(163\) −401560. −1.18381 −0.591904 0.806009i \(-0.701623\pi\)
−0.591904 + 0.806009i \(0.701623\pi\)
\(164\) 724135. + 263564.i 2.10237 + 0.765201i
\(165\) −91265.3 + 105803.i −0.260973 + 0.302543i
\(166\) −609052. 511055.i −1.71547 1.43945i
\(167\) 7599.22 43097.3i 0.0210852 0.119580i −0.972448 0.233118i \(-0.925107\pi\)
0.993534 + 0.113538i \(0.0362183\pi\)
\(168\) −8886.54 + 4970.39i −0.0242918 + 0.0135868i
\(169\) 393157. 329898.i 1.05889 0.888511i
\(170\) 61787.7 + 107019.i 0.163976 + 0.284015i
\(171\) 15502.8 12304.1i 0.0405434 0.0321781i
\(172\) −160400. + 277820.i −0.413411 + 0.716050i
\(173\) 105495. + 598291.i 0.267988 + 1.51984i 0.760388 + 0.649469i \(0.225009\pi\)
−0.492400 + 0.870369i \(0.663880\pi\)
\(174\) 77971.7 12655.2i 0.195238 0.0316881i
\(175\) −22854.2 + 8318.27i −0.0564120 + 0.0205323i
\(176\) 296457. 107902.i 0.721407 0.262571i
\(177\) −20371.0 24960.4i −0.0488742 0.0598851i
\(178\) −52075.6 295336.i −0.123193 0.698660i
\(179\) 271201. 469733.i 0.632642 1.09577i −0.354367 0.935106i \(-0.615304\pi\)
0.987009 0.160662i \(-0.0513629\pi\)
\(180\) 140834. + 124871.i 0.323986 + 0.287264i
\(181\) −139672. 241918.i −0.316892 0.548874i 0.662945 0.748668i \(-0.269306\pi\)
−0.979838 + 0.199794i \(0.935973\pi\)
\(182\) 54076.2 45375.3i 0.121012 0.101541i
\(183\) 4929.47 361620.i 0.0108811 0.798224i
\(184\) 43758.9 248169.i 0.0952844 0.540385i
\(185\) 11438.0 + 9597.62i 0.0245709 + 0.0206174i
\(186\) 1.20656e6 + 229748.i 2.55721 + 0.486934i
\(187\) 337084. + 122688.i 0.704910 + 0.256566i
\(188\) 154223. 0.318239
\(189\) 33047.8 4443.01i 0.0672958 0.00904738i
\(190\) −13216.1 −0.0265594
\(191\) 394592. + 143620.i 0.782645 + 0.284860i 0.702275 0.711906i \(-0.252168\pi\)
0.0803699 + 0.996765i \(0.474390\pi\)
\(192\) −243783. 699302.i −0.477255 1.36903i
\(193\) 303785. + 254906.i 0.587047 + 0.492591i 0.887253 0.461283i \(-0.152611\pi\)
−0.300206 + 0.953875i \(0.597055\pi\)
\(194\) −185200. + 1.05032e6i −0.353295 + 2.00363i
\(195\) −239694. 142779.i −0.451410 0.268891i
\(196\) −521623. + 437694.i −0.969877 + 0.813824i
\(197\) −71446.4 123749.i −0.131164 0.227183i 0.792961 0.609272i \(-0.208538\pi\)
−0.924126 + 0.382089i \(0.875205\pi\)
\(198\) 975561. + 26601.9i 1.76844 + 0.0482226i
\(199\) −91763.8 + 158940.i −0.164263 + 0.284511i −0.936393 0.350953i \(-0.885858\pi\)
0.772131 + 0.635464i \(0.219191\pi\)
\(200\) 35599.2 + 201893.i 0.0629311 + 0.356900i
\(201\) 8918.54 23501.7i 0.0155705 0.0410307i
\(202\) −448820. + 163357.i −0.773915 + 0.281682i
\(203\) −4916.03 + 1789.29i −0.00837287 + 0.00304748i
\(204\) 171443. 451778.i 0.288432 0.760063i
\(205\) 62564.1 + 354819.i 0.103978 + 0.589687i
\(206\) −138149. + 239281.i −0.226819 + 0.392863i
\(207\) −431958. + 703183.i −0.700673 + 1.14062i
\(208\) 314967. + 545539.i 0.504785 + 0.874314i
\(209\) −29388.4 + 24659.8i −0.0465383 + 0.0390502i
\(210\) −19129.4 11394.8i −0.0299331 0.0178303i
\(211\) 116960. 663312.i 0.180855 1.02568i −0.750312 0.661084i \(-0.770097\pi\)
0.931166 0.364594i \(-0.118792\pi\)
\(212\) −886468. 743835.i −1.35464 1.13668i
\(213\) −356829. 1.02358e6i −0.538903 1.54587i
\(214\) 644208. + 234473.i 0.961594 + 0.349992i
\(215\) −149988. −0.221289
\(216\) 11490.6 280839.i 0.0167575 0.409566i
\(217\) −81344.4 −0.117268
\(218\) −1.35125e6 491816.i −1.92573 0.700909i
\(219\) 472235. + 89921.3i 0.665347 + 0.126693i
\(220\) −279480. 234511.i −0.389308 0.326668i
\(221\) −124377. + 705380.i −0.171301 + 0.971499i
\(222\) 1421.48 104278.i 0.00193579 0.142007i
\(223\) −598994. + 502616.i −0.806604 + 0.676822i −0.949795 0.312874i \(-0.898708\pi\)
0.143190 + 0.989695i \(0.454264\pi\)
\(224\) 35587.6 + 61639.5i 0.0473891 + 0.0820804i
\(225\) 134562. 657751.i 0.177201 0.866174i
\(226\) −512195. + 887147.i −0.667059 + 1.15538i
\(227\) −204671. 1.16075e6i −0.263628 1.49511i −0.772914 0.634511i \(-0.781201\pi\)
0.509286 0.860598i \(-0.329910\pi\)
\(228\) 32675.6 + 40037.1i 0.0416281 + 0.0510065i
\(229\) 1.27835e6 465281.i 1.61087 0.586309i 0.629260 0.777195i \(-0.283358\pi\)
0.981612 + 0.190886i \(0.0611360\pi\)
\(230\) 517828. 188474.i 0.645455 0.234926i
\(231\) −63799.2 + 10354.9i −0.0786657 + 0.0127679i
\(232\) 7657.51 + 43427.9i 0.00934045 + 0.0529723i
\(233\) 568805. 985200.i 0.686395 1.18887i −0.286602 0.958050i \(-0.592526\pi\)
0.972996 0.230821i \(-0.0741411\pi\)
\(234\) 285945. + 1.92756e6i 0.341384 + 2.30128i
\(235\) 36052.8 + 62445.3i 0.0425863 + 0.0737616i
\(236\) 64442.1 54073.3i 0.0753164 0.0631980i
\(237\) −1.36308e6 + 762392.i −1.57634 + 0.881672i
\(238\) −9926.23 + 56294.4i −0.0113590 + 0.0644204i
\(239\) −258519. 216924.i −0.292751 0.245647i 0.484568 0.874753i \(-0.338977\pi\)
−0.777319 + 0.629106i \(0.783421\pi\)
\(240\) 129781. 150453.i 0.145440 0.168606i
\(241\) 79325.9 + 28872.3i 0.0879777 + 0.0320213i 0.385634 0.922652i \(-0.373983\pi\)
−0.297656 + 0.954673i \(0.596205\pi\)
\(242\) −518456. −0.569080
\(243\) −372998. + 841523.i −0.405220 + 0.914219i
\(244\) 944298. 1.01539
\(245\) −299165. 108887.i −0.318416 0.115894i
\(246\) 1.64368e6 1.90550e6i 1.73173 2.00757i
\(247\) −58680.7 49238.9i −0.0612002 0.0513531i
\(248\) −119066. + 675255.i −0.122930 + 0.697170i
\(249\) −1.26860e6 + 709548.i −1.29666 + 0.725243i
\(250\) −731858. + 614101.i −0.740588 + 0.621427i
\(251\) 303753. + 526116.i 0.304324 + 0.527105i 0.977111 0.212732i \(-0.0682361\pi\)
−0.672786 + 0.739837i \(0.734903\pi\)
\(252\) 12776.0 + 86123.6i 0.0126734 + 0.0854321i
\(253\) 799815. 1.38532e6i 0.785576 1.36066i
\(254\) −249432. 1.41460e6i −0.242587 1.37578i
\(255\) 223005. 36194.9i 0.214765 0.0348576i
\(256\) −256006. + 93178.5i −0.244146 + 0.0888619i
\(257\) −572734. + 208458.i −0.540904 + 0.196873i −0.598000 0.801496i \(-0.704038\pi\)
0.0570967 + 0.998369i \(0.481816\pi\)
\(258\) 662377. + 811604.i 0.619521 + 0.759093i
\(259\) 1199.36 + 6801.88i 0.00111096 + 0.00630057i
\(260\) 364238. 630879.i 0.334158 0.578779i
\(261\) 28944.8 141485.i 0.0263008 0.128561i
\(262\) 331253. + 573746.i 0.298130 + 0.516377i
\(263\) −133430. + 111961.i −0.118950 + 0.0998108i −0.700322 0.713827i \(-0.746960\pi\)
0.581372 + 0.813638i \(0.302516\pi\)
\(264\) −7426.05 + 544766.i −0.00655765 + 0.481061i
\(265\) 93950.9 532822.i 0.0821838 0.466088i
\(266\) −4683.15 3929.63i −0.00405820 0.00340524i
\(267\) −538591. 102557.i −0.462361 0.0880411i
\(268\) 61676.0 + 22448.2i 0.0524541 + 0.0190917i
\(269\) 82240.3 0.0692953 0.0346477 0.999400i \(-0.488969\pi\)
0.0346477 + 0.999400i \(0.488969\pi\)
\(270\) 544417. 285305.i 0.454488 0.238177i
\(271\) 116930. 0.0967172 0.0483586 0.998830i \(-0.484601\pi\)
0.0483586 + 0.998830i \(0.484601\pi\)
\(272\) −479339. 174465.i −0.392845 0.142984i
\(273\) −42482.9 121864.i −0.0344991 0.0989621i
\(274\) 364596. + 305932.i 0.293383 + 0.246178i
\(275\) −225977. + 1.28158e6i −0.180191 + 1.02191i
\(276\) −1.85125e6 1.10274e6i −1.46283 0.871363i
\(277\) −1.08310e6 + 908826.i −0.848140 + 0.711674i −0.959379 0.282120i \(-0.908963\pi\)
0.111239 + 0.993794i \(0.464518\pi\)
\(278\) 1.01930e6 + 1.76547e6i 0.791022 + 1.37009i
\(279\) 1.17533e6 1.91332e6i 0.903964 1.47156i
\(280\) 6215.07 10764.8i 0.00473752 0.00820562i
\(281\) 365501. + 2.07286e6i 0.276136 + 1.56605i 0.735330 + 0.677709i \(0.237027\pi\)
−0.459194 + 0.888336i \(0.651862\pi\)
\(282\) 178684. 470859.i 0.133802 0.352588i
\(283\) −946557. + 344519.i −0.702556 + 0.255709i −0.668502 0.743711i \(-0.733064\pi\)
−0.0340542 + 0.999420i \(0.510842\pi\)
\(284\) 2.65967e6 968042.i 1.95674 0.712194i
\(285\) −8572.56 + 22590.0i −0.00625170 + 0.0164742i
\(286\) −655895. 3.71977e6i −0.474154 2.68906i
\(287\) −83331.1 + 144334.i −0.0597176 + 0.103434i
\(288\) −1.96404e6 53556.1i −1.39531 0.0380477i
\(289\) 419925. + 727331.i 0.295751 + 0.512257i
\(290\) −73871.2 + 61985.3i −0.0515799 + 0.0432806i
\(291\) 1.67517e6 + 997848.i 1.15965 + 0.690768i
\(292\) −217961. + 1.23612e6i −0.149597 + 0.848405i
\(293\) −58246.8 48874.9i −0.0396372 0.0332596i 0.622754 0.782418i \(-0.286014\pi\)
−0.662391 + 0.749158i \(0.730458\pi\)
\(294\) 731971. + 2.09969e6i 0.493885 + 1.41673i
\(295\) 36959.2 + 13452.1i 0.0247268 + 0.00899982i
\(296\) 58219.2 0.0386222
\(297\) 678265. 1.65026e6i 0.446178 1.08558i
\(298\) 479939. 0.313073
\(299\) 3.00141e6 + 1.09242e6i 1.94154 + 0.706664i
\(300\) 1.72205e6 + 327907.i 1.10470 + 0.210353i
\(301\) −53148.5 44596.9i −0.0338123 0.0283719i
\(302\) 219235. 1.24334e6i 0.138323 0.784466i
\(303\) −11902.1 + 873121.i −0.00744759 + 0.546346i
\(304\) 41790.8 35066.7i 0.0259357 0.0217626i
\(305\) 220750. + 382350.i 0.135879 + 0.235349i
\(306\) −1.18069e6 1.04687e6i −0.720832 0.639129i
\(307\) 764632. 1.32438e6i 0.463027 0.801986i −0.536083 0.844165i \(-0.680097\pi\)
0.999110 + 0.0421788i \(0.0134299\pi\)
\(308\) −29305.4 166199.i −0.0176024 0.0998281i
\(309\) 319390. + 391345.i 0.190294 + 0.233165i
\(310\) −1.40898e6 + 512828.i −0.832725 + 0.303087i
\(311\) 466682. 169858.i 0.273602 0.0995832i −0.201575 0.979473i \(-0.564606\pi\)
0.475178 + 0.879890i \(0.342384\pi\)
\(312\) −1.07380e6 + 174283.i −0.624506 + 0.101361i
\(313\) −497019. 2.81874e6i −0.286756 1.62627i −0.698945 0.715175i \(-0.746347\pi\)
0.412189 0.911098i \(-0.364764\pi\)
\(314\) −1.30186e6 + 2.25488e6i −0.745142 + 1.29062i
\(315\) −31885.1 + 25306.3i −0.0181055 + 0.0143699i
\(316\) −2.03898e6 3.53161e6i −1.14867 1.98955i
\(317\) 740746. 621559.i 0.414020 0.347404i −0.411863 0.911246i \(-0.635122\pi\)
0.825883 + 0.563842i \(0.190677\pi\)
\(318\) −3.29809e6 + 1.84467e6i −1.82892 + 1.02294i
\(319\) −48608.4 + 275672.i −0.0267445 + 0.151676i
\(320\) 692567. + 581133.i 0.378083 + 0.317249i
\(321\) 818644. 949045.i 0.443438 0.514072i
\(322\) 239534. + 87183.3i 0.128744 + 0.0468591i
\(323\) 62030.2 0.0330824
\(324\) −2.21034e6 943880.i −1.16976 0.499522i
\(325\) −2.59844e6 −1.36460
\(326\) −3.21744e6 1.17105e6i −1.67674 0.610284i
\(327\) −1.71714e6 + 1.99066e6i −0.888048 + 1.02950i
\(328\) 1.07617e6 + 903011.i 0.552325 + 0.463456i
\(329\) −5791.90 + 32847.5i −0.00295007 + 0.0167307i
\(330\) −1.03980e6 + 581576.i −0.525610 + 0.293983i
\(331\) −2.31622e6 + 1.94354e6i −1.16201 + 0.975041i −0.999931 0.0117372i \(-0.996264\pi\)
−0.162077 + 0.986778i \(0.551819\pi\)
\(332\) −1.89765e6 3.28683e6i −0.944867 1.63656i
\(333\) −177318. 70069.2i −0.0876280 0.0346271i
\(334\) 186571. 323150.i 0.0915118 0.158503i
\(335\) 5328.71 + 30220.6i 0.00259424 + 0.0147127i
\(336\) 90723.6 14724.9i 0.0438402 0.00711549i
\(337\) 2.82974e6 1.02994e6i 1.35729 0.494012i 0.442072 0.896979i \(-0.354243\pi\)
0.915214 + 0.402968i \(0.132021\pi\)
\(338\) 4.11218e6 1.49671e6i 1.95785 0.712601i
\(339\) 1.18415e6 + 1.45093e6i 0.559640 + 0.685722i
\(340\) 102435. + 580937.i 0.0480563 + 0.272541i
\(341\) −2.17626e6 + 3.76939e6i −1.01350 + 1.75543i
\(342\) 160096. 53374.9i 0.0740143 0.0246758i
\(343\) −147608. 255665.i −0.0677447 0.117337i
\(344\) −448002. + 375918.i −0.204119 + 0.171276i
\(345\) 13732.1 1.00737e6i 0.00621139 0.455660i
\(346\) −899509. + 5.10137e6i −0.403939 + 2.29085i
\(347\) −2.13666e6 1.79287e6i −0.952605 0.799330i 0.0271296 0.999632i \(-0.491363\pi\)
−0.979734 + 0.200302i \(0.935808\pi\)
\(348\) 370420. + 70534.0i 0.163963 + 0.0312213i
\(349\) 2.84285e6 + 1.03471e6i 1.24937 + 0.454732i 0.880188 0.474626i \(-0.157417\pi\)
0.369179 + 0.929358i \(0.379639\pi\)
\(350\) −207375. −0.0904868
\(351\) 3.48023e6 + 761546.i 1.50779 + 0.329935i
\(352\) 3.80839e6 1.63827
\(353\) 167281. + 60885.4i 0.0714513 + 0.0260061i 0.377499 0.926010i \(-0.376784\pi\)
−0.306047 + 0.952016i \(0.599007\pi\)
\(354\) −90428.8 259399.i −0.0383529 0.110017i
\(355\) 1.01372e6 + 850612.i 0.426921 + 0.358229i
\(356\) 248588. 1.40981e6i 0.103957 0.589571i
\(357\) 89784.6 + 53482.0i 0.0372847 + 0.0222094i
\(358\) 3.54282e6 2.97278e6i 1.46097 1.22590i
\(359\) −1.33379e6 2.31019e6i −0.546198 0.946044i −0.998530 0.0541939i \(-0.982741\pi\)
0.452332 0.891850i \(-0.350592\pi\)
\(360\) 163401. + 301726.i 0.0664507 + 0.122703i
\(361\) 1.23473e6 2.13862e6i 0.498660 0.863705i
\(362\) −413602. 2.34565e6i −0.165887 0.940790i
\(363\) −336295. + 886189.i −0.133953 + 0.352988i
\(364\) 316653. 115252.i 0.125265 0.0455927i
\(365\) −551463. + 200716.i −0.216663 + 0.0788587i
\(366\) 1.09407e6 2.88305e6i 0.426917 1.12499i
\(367\) 818039. + 4.63933e6i 0.317036 + 1.79800i 0.560567 + 0.828109i \(0.310583\pi\)
−0.243531 + 0.969893i \(0.578306\pi\)
\(368\) −1.13735e6 + 1.96995e6i −0.437800 + 0.758291i
\(369\) −2.19087e6 4.04551e6i −0.837627 1.54671i
\(370\) 63656.1 + 110256.i 0.0241733 + 0.0418694i
\(371\) 191720. 160872.i 0.0723156 0.0606800i
\(372\) 5.03717e6 + 3.00049e6i 1.88725 + 1.12418i
\(373\) 237907. 1.34924e6i 0.0885392 0.502131i −0.907997 0.418976i \(-0.862389\pi\)
0.996537 0.0831551i \(-0.0264997\pi\)
\(374\) 2.34304e6 + 1.96605e6i 0.866167 + 0.726800i
\(375\) 574956. + 1.64929e6i 0.211133 + 0.605645i
\(376\) 264196. + 96159.4i 0.0963732 + 0.0350770i
\(377\) −558934. −0.202538
\(378\) 277748. + 60777.0i 0.0999818 + 0.0218781i
\(379\) −3.98264e6 −1.42421 −0.712103 0.702075i \(-0.752257\pi\)
−0.712103 + 0.702075i \(0.752257\pi\)
\(380\) −59283.4 21577.4i −0.0210608 0.00766549i
\(381\) −2.57975e6 491226.i −0.910467 0.173368i
\(382\) 2.74278e6 + 2.30146e6i 0.961684 + 0.806949i
\(383\) 318052. 1.80376e6i 0.110790 0.628323i −0.877958 0.478737i \(-0.841095\pi\)
0.988749 0.149586i \(-0.0477941\pi\)
\(384\) 31094.9 2.28108e6i 0.0107612 0.789428i
\(385\) 60444.0 50718.6i 0.0207827 0.0174387i
\(386\) 1.69066e6 + 2.92831e6i 0.577548 + 1.00034i
\(387\) 1.81691e6 605745.i 0.616675 0.205595i
\(388\) −2.54558e6 + 4.40907e6i −0.858435 + 1.48685i
\(389\) −439346. 2.49166e6i −0.147208 0.834861i −0.965567 0.260153i \(-0.916227\pi\)
0.818359 0.574708i \(-0.194884\pi\)
\(390\) −1.50414e6 1.84300e6i −0.500755 0.613571i
\(391\) −2.43045e6 + 884612.i −0.803980 + 0.292625i
\(392\) −1.16649e6 + 424567.i −0.383412 + 0.139551i
\(393\) 1.19556e6 194046.i 0.390472 0.0633757i
\(394\) −211570. 1.19988e6i −0.0686617 0.389400i
\(395\) 953308. 1.65118e6i 0.307426 0.532478i
\(396\) 4.33265e6 + 1.71209e6i 1.38840 + 0.548643i
\(397\) 1.12753e6 + 1.95294e6i 0.359047 + 0.621888i 0.987802 0.155716i \(-0.0497684\pi\)
−0.628755 + 0.777604i \(0.716435\pi\)
\(398\) −1.19875e6 + 1.00587e6i −0.379334 + 0.318299i
\(399\) −9754.56 + 5455.89i −0.00306744 + 0.00171567i
\(400\) 321343. 1.82243e6i 0.100420 0.569508i
\(401\) −1.63007e6 1.36779e6i −0.506226 0.424774i 0.353573 0.935407i \(-0.384967\pi\)
−0.859799 + 0.510633i \(0.829411\pi\)
\(402\) 139996. 162295.i 0.0432065 0.0500888i
\(403\) −8.16667e6 2.97242e6i −2.50485 0.911692i
\(404\) −2.27998e6 −0.694989
\(405\) −134533. 1.11563e6i −0.0407558 0.337972i
\(406\) −44607.0 −0.0134304
\(407\) 347277. + 126398.i 0.103918 + 0.0378230i
\(408\) 575384. 667036.i 0.171123 0.198380i
\(409\) −2.99386e6 2.51215e6i −0.884960 0.742570i 0.0822326 0.996613i \(-0.473795\pi\)
−0.967193 + 0.254043i \(0.918239\pi\)
\(410\) −533457. + 3.02539e6i −0.156726 + 0.888835i
\(411\) 759419. 424755.i 0.221757 0.124032i
\(412\) −1.01036e6 + 847795.i −0.293248 + 0.246064i
\(413\) 9096.81 + 15756.1i 0.00262430 + 0.00454543i
\(414\) −5.51166e6 + 4.37445e6i −1.58045 + 1.25436i
\(415\) 887233. 1.53673e6i 0.252882 0.438004i
\(416\) 1.32048e6 + 7.48879e6i 0.374108 + 2.12167i
\(417\) 3.67886e6 597098.i 1.03603 0.168153i
\(418\) −307385. + 111879.i −0.0860481 + 0.0313190i
\(419\) −5.33695e6 + 1.94249e6i −1.48511 + 0.540535i −0.952157 0.305610i \(-0.901139\pi\)
−0.532952 + 0.846146i \(0.678917\pi\)
\(420\) −67204.9 82345.5i −0.0185899 0.0227781i
\(421\) 966429. + 5.48089e6i 0.265745 + 1.50711i 0.766906 + 0.641760i \(0.221795\pi\)
−0.501161 + 0.865354i \(0.667094\pi\)
\(422\) 2.87151e6 4.97360e6i 0.784927 1.35953i
\(423\) −688929. 610843.i −0.187208 0.165989i
\(424\) −1.05480e6 1.82697e6i −0.284942 0.493534i
\(425\) 1.61187e6 1.35252e6i 0.432869 0.363220i
\(426\) 125982. 9.24187e6i 0.0336344 2.46738i
\(427\) −35463.6 + 201124.i −0.00941267 + 0.0533819i
\(428\) 2.50692e6 + 2.10355e6i 0.661501 + 0.555065i
\(429\) −6.78358e6 1.29170e6i −1.77957 0.338860i
\(430\) −1.20175e6 437402.i −0.313433 0.114080i
\(431\) 3.12006e6 0.809039 0.404520 0.914529i \(-0.367439\pi\)
0.404520 + 0.914529i \(0.367439\pi\)
\(432\) −964505. + 2.34669e6i −0.248654 + 0.604988i
\(433\) 5.40428e6 1.38522 0.692609 0.721314i \(-0.256461\pi\)
0.692609 + 0.721314i \(0.256461\pi\)
\(434\) −651760. 237221.i −0.166098 0.0604546i
\(435\) 58034.1 + 166473.i 0.0147048 + 0.0421815i
\(436\) −5.25836e6 4.41229e6i −1.32475 1.11160i
\(437\) 48033.2 272410.i 0.0120320 0.0682368i
\(438\) 3.52148e6 + 2.09764e6i 0.877082 + 0.522451i
\(439\) 744013. 624301.i 0.184255 0.154608i −0.545995 0.837789i \(-0.683848\pi\)
0.730250 + 0.683180i \(0.239404\pi\)
\(440\) −332551. 575995.i −0.0818892 0.141836i
\(441\) 4.06376e6 + 110812.i 0.995020 + 0.0271325i
\(442\) −3.05362e6 + 5.28903e6i −0.743464 + 1.28772i
\(443\) −615588. 3.49117e6i −0.149032 0.845205i −0.964041 0.265755i \(-0.914379\pi\)
0.815008 0.579450i \(-0.196732\pi\)
\(444\) 176627. 465439.i 0.0425206 0.112048i
\(445\) 628951. 228920.i 0.150563 0.0548003i
\(446\) −6.26511e6 + 2.28031e6i −1.49139 + 0.542822i
\(447\) 311311. 820353.i 0.0736930 0.194192i
\(448\) 72620.6 + 411852.i 0.0170948 + 0.0969497i
\(449\) 1.89682e6 3.28539e6i 0.444028 0.769078i −0.553956 0.832546i \(-0.686883\pi\)
0.997984 + 0.0634674i \(0.0202159\pi\)
\(450\) 2.99633e6 4.87771e6i 0.697522 1.13549i
\(451\) 4.45881e6 + 7.72289e6i 1.03223 + 1.78788i
\(452\) −3.74597e6 + 3.14324e6i −0.862419 + 0.723656i
\(453\) −1.98302e6 1.18123e6i −0.454027 0.270451i
\(454\) 1.74514e6 9.89719e6i 0.397366 2.25358i
\(455\) 120690. + 101271.i 0.0273303 + 0.0229328i
\(456\) 31012.4 + 88960.3i 0.00698430 + 0.0200348i
\(457\) 2.36156e6 + 859537.i 0.528942 + 0.192519i 0.592666 0.805448i \(-0.298075\pi\)
−0.0637239 + 0.997968i \(0.520298\pi\)
\(458\) 1.15995e7 2.58389
\(459\) −2.55525e6 + 1.33909e6i −0.566111 + 0.296674i
\(460\) 2.63054e6 0.579630
\(461\) 2.18863e6 + 796597.i 0.479646 + 0.174577i 0.570517 0.821286i \(-0.306743\pi\)
−0.0908712 + 0.995863i \(0.528965\pi\)
\(462\) −541379. 103087.i −0.118004 0.0224699i
\(463\) 994165. + 834203.i 0.215529 + 0.180850i 0.744160 0.668001i \(-0.232850\pi\)
−0.528631 + 0.848852i \(0.677294\pi\)
\(464\) 69122.0 392011.i 0.0149046 0.0845284i
\(465\) −37364.3 + 2.74100e6i −0.00801354 + 0.587863i
\(466\) 7.43057e6 6.23499e6i 1.58510 1.33006i
\(467\) −397906. 689194.i −0.0844284 0.146234i 0.820719 0.571332i \(-0.193573\pi\)
−0.905147 + 0.425098i \(0.860240\pi\)
\(468\) −1.86440e6 + 9.11334e6i −0.393481 + 1.92337i
\(469\) −7097.48 + 12293.2i −0.00148995 + 0.00258067i
\(470\) 106761. + 605473.i 0.0222930 + 0.126430i
\(471\) 3.00979e6 + 3.68786e6i 0.625149 + 0.765989i
\(472\) 144110. 52451.7i 0.0297741 0.0108369i
\(473\) −3.48847e6 + 1.26970e6i −0.716939 + 0.260944i
\(474\) −1.31448e7 + 2.13347e6i −2.68725 + 0.436154i
\(475\) 39076.4 + 221613.i 0.00794659 + 0.0450674i
\(476\) −136436. + 236314.i −0.0276002 + 0.0478049i
\(477\) 1.01378e6 + 6.83391e6i 0.204008 + 1.37522i
\(478\) −1.43874e6 2.49198e6i −0.288014 0.498855i
\(479\) 2.28936e6 1.92100e6i 0.455905 0.382550i −0.385717 0.922617i \(-0.626046\pi\)
0.841622 + 0.540067i \(0.181601\pi\)
\(480\) 2.09336e6 1.17085e6i 0.414707 0.231953i
\(481\) −128138. + 726709.i −0.0252532 + 0.143218i
\(482\) 551388. + 462670.i 0.108104 + 0.0907097i
\(483\) 304394. 352881.i 0.0593702 0.0688272i
\(484\) −2.32564e6 846465.i −0.451263 0.164246i
\(485\) −2.38033e6 −0.459498
\(486\) −5.44269e6 + 5.65482e6i −1.04526 + 1.08600i
\(487\) −4.13211e6 −0.789494 −0.394747 0.918790i \(-0.629168\pi\)
−0.394747 + 0.918790i \(0.629168\pi\)
\(488\) 1.61766e6 + 588780.i 0.307495 + 0.111919i
\(489\) −4.08864e6 + 4.73991e6i −0.773227 + 0.896393i
\(490\) −2.07947e6 1.74488e6i −0.391257 0.328304i
\(491\) 544616. 3.08867e6i 0.101950 0.578186i −0.890445 0.455091i \(-0.849607\pi\)
0.992395 0.123095i \(-0.0392821\pi\)
\(492\) 1.04841e7 5.86394e6i 1.95263 1.09214i
\(493\) 346718. 290931.i 0.0642479 0.0539104i
\(494\) −326577. 565648.i −0.0602099 0.104287i
\(495\) 319617. + 2.15455e6i 0.0586296 + 0.395224i
\(496\) 3.09468e6 5.36014e6i 0.564821 0.978299i
\(497\) 106296. + 602834.i 0.0193030 + 0.109473i
\(498\) −1.22337e7 + 1.98559e6i −2.21047 + 0.358770i
\(499\) 4.65530e6 1.69439e6i 0.836944 0.304623i 0.112238 0.993681i \(-0.464198\pi\)
0.724706 + 0.689059i \(0.241976\pi\)
\(500\) −4.28552e6 + 1.55980e6i −0.766618 + 0.279026i
\(501\) −431336. 528512.i −0.0767753 0.0940721i
\(502\) 899488. + 5.10125e6i 0.159307 + 0.903477i
\(503\) 4.12408e6 7.14312e6i 0.726787 1.25883i −0.231447 0.972848i \(-0.574346\pi\)
0.958234 0.285985i \(-0.0923207\pi\)
\(504\) −31812.6 + 155503.i −0.00557857 + 0.0272685i
\(505\) −532995. 923174.i −0.0930025 0.161085i
\(506\) 1.04484e7 8.76721e6i 1.81414 1.52225i
\(507\) 109049. 7.99972e6i 0.0188410 1.38215i
\(508\) 1.19069e6 6.75272e6i 0.204710 1.16097i
\(509\) 5.68202e6 + 4.76778e6i 0.972094 + 0.815684i 0.982878 0.184258i \(-0.0589882\pi\)
−0.0107839 + 0.999942i \(0.503433\pi\)
\(510\) 1.89235e6 + 360334.i 0.322163 + 0.0613451i
\(511\) −255093. 92846.1i −0.0432161 0.0157294i
\(512\) −7.00598e6 −1.18112
\(513\) 12613.0 308271.i 0.00211604 0.0517177i
\(514\) −5.19686e6 −0.867628
\(515\) −579470. 210910.i −0.0962748 0.0350412i
\(516\) 1.64615e6 + 4.72206e6i 0.272174 + 0.780742i
\(517\) 1.36715e6 + 1.14718e6i 0.224953 + 0.188758i
\(518\) −10226.4 + 57996.7i −0.00167455 + 0.00949684i
\(519\) 8.13623e6 + 4.84651e6i 1.32588 + 0.789788i
\(520\) 1.01733e6 853641.i 0.164988 0.138442i
\(521\) 4.13138e6 + 7.15576e6i 0.666808 + 1.15495i 0.978792 + 0.204858i \(0.0656732\pi\)
−0.311984 + 0.950087i \(0.600993\pi\)
\(522\) 644521. 1.04921e6i 0.103529 0.168534i
\(523\) −443157. + 767571.i −0.0708441 + 0.122706i −0.899271 0.437391i \(-0.855903\pi\)
0.828427 + 0.560096i \(0.189236\pi\)
\(524\) 549167. + 3.11448e6i 0.0873729 + 0.495516i
\(525\) −134513. + 354462.i −0.0212993 + 0.0561269i
\(526\) −1.39560e6 + 507955.i −0.219935 + 0.0800499i
\(527\) 6.61313e6 2.40698e6i 1.03724 0.377526i
\(528\) 1.74485e6 4.59795e6i 0.272379 0.717761i
\(529\) 885147. + 5.01992e6i 0.137523 + 0.779934i
\(530\) 2.30661e6 3.99517e6i 0.356685 0.617797i
\(531\) −502043. 13689.9i −0.0772689 0.00210699i
\(532\) −14591.5 25273.2i −0.00223522 0.00387151i
\(533\) −1.36403e7 + 1.14455e7i −2.07972 + 1.74509i
\(534\) −4.01630e6 2.39239e6i −0.609499 0.363060i
\(535\) −265691. + 1.50681e6i −0.0401322 + 0.227601i
\(536\) 91659.4 + 76911.3i 0.0137805 + 0.0115632i
\(537\) −2.78328e6 7.98397e6i −0.416506 1.19477i
\(538\) 658938. + 239834.i 0.0981497 + 0.0357236i
\(539\) −7.87986e6 −1.16828
\(540\) 2.90791e6 390944.i 0.429137 0.0576940i
\(541\) −1.07194e7 −1.57463 −0.787315 0.616551i \(-0.788530\pi\)
−0.787315 + 0.616551i \(0.788530\pi\)
\(542\) 936886. + 340999.i 0.136990 + 0.0498603i
\(543\) −4.27767e6 814539.i −0.622598 0.118553i
\(544\) −4.71712e6 3.95813e6i −0.683407 0.573446i
\(545\) 557299. 3.16060e6i 0.0803706 0.455804i
\(546\) 14999.0 1.10031e6i 0.00215318 0.157955i
\(547\) 4.62017e6 3.87679e6i 0.660222 0.553992i −0.249931 0.968264i \(-0.580408\pi\)
0.910153 + 0.414271i \(0.135964\pi\)
\(548\) 1.13599e6 + 1.96758e6i 0.161593 + 0.279887i
\(549\) −4.21828e6 3.74016e6i −0.597317 0.529614i
\(550\) −5.54802e6 + 9.60945e6i −0.782044 + 1.35454i
\(551\) 8405.48 + 47669.9i 0.00117946 + 0.00668906i
\(552\) −2.48378e6 3.04335e6i −0.346949 0.425113i
\(553\) 828764. 301646.i 0.115244 0.0419454i
\(554\) −1.13285e7 + 4.12324e6i −1.56819 + 0.570775i
\(555\) 229749. 37289.4i 0.0316607 0.00513869i
\(556\) 1.68984e6 + 9.58357e6i 0.231824 + 1.31474i
\(557\) −5.23872e6 + 9.07374e6i −0.715464 + 1.23922i 0.247317 + 0.968935i \(0.420451\pi\)
−0.962780 + 0.270285i \(0.912882\pi\)
\(558\) 1.49969e7 1.19026e7i 2.03900 1.61830i
\(559\) −3.70628e6 6.41947e6i −0.501659 0.868900i
\(560\) −85952.5 + 72122.7i −0.0115821 + 0.00971857i
\(561\) 4.88034e6 2.72966e6i 0.654701 0.366185i
\(562\) −3.11647e6 + 1.76744e7i −0.416219 + 2.36050i
\(563\) 1.91717e6 + 1.60870e6i 0.254912 + 0.213897i 0.761284 0.648419i \(-0.224569\pi\)
−0.506372 + 0.862315i \(0.669014\pi\)
\(564\) 1.57028e6 1.82041e6i 0.207864 0.240974i
\(565\) −2.14841e6 781959.i −0.283137 0.103053i
\(566\) −8.58886e6 −1.12692
\(567\) 284045. 435327.i 0.0371048 0.0568667i
\(568\) 5.15982e6 0.671064
\(569\) 6.09703e6 + 2.21914e6i 0.789474 + 0.287345i 0.705117 0.709091i \(-0.250894\pi\)
0.0843566 + 0.996436i \(0.473117\pi\)
\(570\) −134565. + 155999.i −0.0173478 + 0.0201111i
\(571\) −2.74174e6 2.30059e6i −0.351913 0.295290i 0.449645 0.893208i \(-0.351551\pi\)
−0.801558 + 0.597917i \(0.795995\pi\)
\(572\) 3.13098e6 1.77567e7i 0.400120 2.26919i
\(573\) 5.71295e6 3.19535e6i 0.726899 0.406567i
\(574\) −1.08859e6 + 913437.i −0.137907 + 0.115717i
\(575\) −4.69151e6 8.12593e6i −0.591756 1.02495i
\(576\) −1.07366e7 4.24267e6i −1.34837 0.532823i
\(577\) 348455. 603542.i 0.0435720 0.0754689i −0.843417 0.537260i \(-0.819460\pi\)
0.886989 + 0.461791i \(0.152793\pi\)
\(578\) 1.24350e6 + 7.05224e6i 0.154820 + 0.878027i
\(579\) 6.10196e6 990380.i 0.756437 0.122774i
\(580\) −432566. + 157441.i −0.0533928 + 0.0194334i
\(581\) 771321. 280738.i 0.0947970 0.0345033i
\(582\) 1.05121e7 + 1.28803e7i 1.28641 + 1.57623i
\(583\) −2.32539e6 1.31879e7i −0.283350 1.60696i
\(584\) −1.14412e6 + 1.98167e6i −0.138816 + 0.240436i
\(585\) −4.12587e6 + 1.37554e6i −0.498455 + 0.166181i
\(586\) −324162. 561465.i −0.0389958 0.0675428i
\(587\) 1.04207e6 874403.i 0.124825 0.104741i −0.578238 0.815868i \(-0.696259\pi\)
0.703063 + 0.711127i \(0.251815\pi\)
\(588\) −144682. + 1.06137e7i −0.0172572 + 1.26597i
\(589\) −130696. + 741212.i −0.0155229 + 0.0880348i
\(590\) 256901. + 215565.i 0.0303833 + 0.0254946i
\(591\) −2.18816e6 416662.i −0.257698 0.0490699i
\(592\) −493834. 179741.i −0.0579131 0.0210786i
\(593\) 6.72890e6 0.785791 0.392896 0.919583i \(-0.371473\pi\)
0.392896 + 0.919583i \(0.371473\pi\)
\(594\) 1.02471e7 1.12444e7i 1.19161 1.30759i
\(595\) −127580. −0.0147737
\(596\) 2.15287e6 + 783580.i 0.248257 + 0.0903583i
\(597\) 941755. + 2.70147e6i 0.108144 + 0.310216i
\(598\) 2.08625e7 + 1.75058e7i 2.38569 + 2.00183i
\(599\) −632476. + 3.58695e6i −0.0720240 + 0.408468i 0.927386 + 0.374107i \(0.122051\pi\)
−0.999409 + 0.0343611i \(0.989060\pi\)
\(600\) 2.74557e6 + 1.63545e6i 0.311353 + 0.185464i
\(601\) 9.35813e6 7.85241e6i 1.05682 0.886781i 0.0630302 0.998012i \(-0.479924\pi\)
0.993795 + 0.111230i \(0.0354791\pi\)
\(602\) −295788. 512321.i −0.0332652 0.0576170i
\(603\) −186601. 344564.i −0.0208988 0.0385902i
\(604\) 3.01339e6 5.21935e6i 0.336096 0.582135i
\(605\) −200932. 1.13954e6i −0.0223183 0.126573i
\(606\) −2.64161e6 + 6.96105e6i −0.292205 + 0.770004i
\(607\) −1.56440e7 + 5.69396e6i −1.72336 + 0.627253i −0.998123 0.0612442i \(-0.980493\pi\)
−0.725239 + 0.688497i \(0.758271\pi\)
\(608\) 618840. 225239.i 0.0678921 0.0247107i
\(609\) −28934.2 + 76246.0i −0.00316132 + 0.00833056i
\(610\) 653695. + 3.70729e6i 0.0711296 + 0.403396i
\(611\) −1.78177e6 + 3.08612e6i −0.193086 + 0.334434i
\(612\) −3.58707e6 6.62363e6i −0.387134 0.714854i
\(613\) 4.46752e6 + 7.73798e6i 0.480193 + 0.831719i 0.999742 0.0227221i \(-0.00723330\pi\)
−0.519549 + 0.854441i \(0.673900\pi\)
\(614\) 9.98874e6 8.38155e6i 1.06928 0.897229i
\(615\) 4.82522e6 + 2.87424e6i 0.514433 + 0.306433i
\(616\) 53424.5 302985.i 0.00567269 0.0321714i
\(617\) 350110. + 293777.i 0.0370247 + 0.0310674i 0.661112 0.750287i \(-0.270085\pi\)
−0.624088 + 0.781354i \(0.714529\pi\)
\(618\) 1.41780e6 + 4.06702e6i 0.149329 + 0.428356i
\(619\) 8.41151e6 + 3.06154e6i 0.882363 + 0.321154i 0.743163 0.669110i \(-0.233325\pi\)
0.139200 + 0.990264i \(0.455547\pi\)
\(620\) −7.15757e6 −0.747801
\(621\) 3.90205e6 + 1.22585e7i 0.406035 + 1.27558i
\(622\) 4.23457e6 0.438868
\(623\) 290937. + 105892.i 0.0300316 + 0.0109306i
\(624\) 9.64638e6 + 1.83683e6i 0.991751 + 0.188846i
\(625\) 4.98056e6 + 4.17919e6i 0.510010 + 0.427949i
\(626\) 4.23787e6 2.40341e7i 0.432227 2.45128i
\(627\) −8151.41 + 597977.i −0.000828064 + 0.0607458i
\(628\) −9.52121e6 + 7.98925e6i −0.963370 + 0.808363i
\(629\) −298773. 517490.i −0.0301103 0.0521525i
\(630\) −329275. + 109778.i −0.0330527 + 0.0110195i
\(631\) 5.93626e6 1.02819e7i 0.593526 1.02802i −0.400227 0.916416i \(-0.631069\pi\)
0.993753 0.111601i \(-0.0355979\pi\)
\(632\) −1.29093e6 7.32126e6i −0.128562 0.729110i
\(633\) −6.63870e6 8.13434e6i −0.658527 0.806887i
\(634\) 7.74774e6 2.81995e6i 0.765512 0.278624i
\(635\) 3.01255e6 1.09648e6i 0.296483 0.107911i
\(636\) −1.78060e7 + 2.89001e6i −1.74551 + 0.283306i
\(637\) −2.73217e6 1.54949e7i −0.266784 1.51301i
\(638\) −1.19340e6 + 2.06703e6i −0.116074 + 0.201046i
\(639\) −1.57153e7 6.21005e6i −1.52254 0.601649i
\(640\) 1.39248e6 + 2.41185e6i 0.134381 + 0.232755i
\(641\) −1.10025e7 + 9.23222e6i −1.05766 + 0.887485i −0.993878 0.110479i \(-0.964762\pi\)
−0.0637849 + 0.997964i \(0.520317\pi\)
\(642\) 9.32692e6 5.21670e6i 0.893102 0.499527i
\(643\) −1.56827e6 + 8.89410e6i −0.149587 + 0.848349i 0.813982 + 0.580890i \(0.197295\pi\)
−0.963569 + 0.267459i \(0.913816\pi\)
\(644\) 932140. + 782158.i 0.0885659 + 0.0743156i
\(645\) −1.52716e6 + 1.77042e6i −0.144539 + 0.167562i
\(646\) 497008. + 180896.i 0.0468578 + 0.0170549i
\(647\) 158674. 0.0149020 0.00745099 0.999972i \(-0.497628\pi\)
0.00745099 + 0.999972i \(0.497628\pi\)
\(648\) −3.19797e6 2.99511e6i −0.299183 0.280205i
\(649\) 973490. 0.0907235
\(650\) −2.08196e7 7.57772e6i −1.93281 0.703486i
\(651\) −828241. + 960170.i −0.0765956 + 0.0887965i
\(652\) −1.25206e7 1.05060e7i −1.15347 0.967872i
\(653\) −2.19293e6 + 1.24367e7i −0.201253 + 1.14136i 0.701976 + 0.712200i \(0.252301\pi\)
−0.903229 + 0.429159i \(0.858810\pi\)
\(654\) −1.95636e7 + 1.09423e7i −1.78857 + 1.00037i
\(655\) −1.13269e6 + 950437.i −0.103159 + 0.0865606i
\(656\) −6.34051e6 1.09821e7i −0.575261 0.996381i
\(657\) 5.86966e6 4.65858e6i 0.530517 0.421056i
\(658\) −142199. + 246295.i −0.0128036 + 0.0221764i
\(659\) 17274.1 + 97966.1i 0.00154946 + 0.00878744i 0.985573 0.169253i \(-0.0541354\pi\)
−0.984023 + 0.178040i \(0.943024\pi\)
\(660\) −5.61375e6 + 911141.i −0.501641 + 0.0814190i
\(661\) −575121. + 209327.i −0.0511983 + 0.0186347i −0.367492 0.930027i \(-0.619784\pi\)
0.316294 + 0.948661i \(0.397561\pi\)
\(662\) −2.42262e7 + 8.81762e6i −2.14853 + 0.781999i
\(663\) 7.05973e6 + 8.65023e6i 0.623741 + 0.764265i
\(664\) −1.20146e6 6.81380e6i −0.105752 0.599749i
\(665\) 6822.14 11816.3i 0.000598228 0.00103616i
\(666\) −1.21640e6 1.07852e6i −0.106265 0.0942203i
\(667\) −1.00916e6 1.74792e6i −0.0878306 0.152127i
\(668\) 1.36450e6 1.14495e6i 0.118313 0.0992762i
\(669\) −166142. + 1.21880e7i −0.0143521 + 1.05285i
\(670\) −45435.6 + 257678.i −0.00391030 + 0.0221764i
\(671\) 8.37103e6 + 7.02413e6i 0.717749 + 0.602263i
\(672\) 1.08993e6 + 207540.i 0.0931054 + 0.0177288i
\(673\) −11089.3 4036.17i −0.000943770 0.000343504i 0.341548 0.939864i \(-0.389049\pi\)
−0.342492 + 0.939521i \(0.611271\pi\)
\(674\) 2.56764e7 2.17713
\(675\) −6.39384e6 8.28549e6i −0.540135 0.699937i
\(676\) 2.08897e7 1.75819
\(677\) −1.19979e7 4.36687e6i −1.00608 0.366183i −0.214154 0.976800i \(-0.568699\pi\)
−0.791926 + 0.610617i \(0.790922\pi\)
\(678\) 5.25656e6 + 1.50787e7i 0.439165 + 1.25976i
\(679\) −843478. 707762.i −0.0702101 0.0589133i
\(680\) −186741. + 1.05906e6i −0.0154870 + 0.0878312i
\(681\) −1.57851e7 9.40272e6i −1.30431 0.776937i
\(682\) −2.84294e7 + 2.38551e7i −2.34049 + 1.96391i
\(683\) 4.14368e6 + 7.17707e6i 0.339887 + 0.588702i 0.984411 0.175882i \(-0.0562778\pi\)
−0.644524 + 0.764584i \(0.722944\pi\)
\(684\) 805288. + 21958.9i 0.0658129 + 0.00179461i
\(685\) −531122. + 919930.i −0.0432482 + 0.0749081i
\(686\) −437105. 2.47894e6i −0.0354630 0.201121i
\(687\) 7.52396e6 1.98268e7i 0.608212 1.60273i
\(688\) 4.96067e6 1.80554e6i 0.399548 0.145424i
\(689\) 2.51264e7 9.14526e6i 2.01642 0.733918i
\(690\) 3.04777e6 8.03135e6i 0.243702 0.642193i
\(691\) −1.26000e6 7.14579e6i −0.100386 0.569319i −0.992963 0.118424i \(-0.962216\pi\)
0.892577 0.450895i \(-0.148895\pi\)
\(692\) −1.23638e7 + 2.14147e7i −0.981489 + 1.69999i
\(693\) −527370. + 858504.i −0.0417140 + 0.0679062i
\(694\) −1.18912e7 2.05962e7i −0.937191 1.62326i
\(695\) −3.48539e6 + 2.92459e6i −0.273709 + 0.229669i
\(696\) 590581. + 351791.i 0.0462122 + 0.0275272i
\(697\) 2.50381e6 1.41998e7i 0.195218 1.10713i
\(698\) 1.97604e7 + 1.65810e7i 1.53517 + 1.28816i
\(699\) −5.83755e6 1.67453e7i −0.451895 1.29628i
\(700\) −930222. 338573.i −0.0717532 0.0261160i
\(701\) 1.46059e7 1.12262 0.561312 0.827604i \(-0.310297\pi\)
0.561312 + 0.827604i \(0.310297\pi\)
\(702\) 2.56640e7 + 1.62510e7i 1.96553 + 1.24462i
\(703\) 63905.9 0.00487700
\(704\) 2.10275e7 + 7.65339e6i 1.59903 + 0.581999i
\(705\) 1.10418e6 + 210253.i 0.0836692 + 0.0159320i
\(706\) 1.16276e6 + 975670.i 0.0877966 + 0.0736701i
\(707\) 85625.9 485608.i 0.00644253 0.0365374i
\(708\) 17874.2 1.31123e6i 0.00134012 0.0983095i
\(709\) −6.49482e6 + 5.44980e6i −0.485234 + 0.407160i −0.852315 0.523029i \(-0.824802\pi\)
0.367080 + 0.930189i \(0.380357\pi\)
\(710\) 5.64168e6 + 9.77168e6i 0.420013 + 0.727484i
\(711\) −4.87962e6 + 2.38520e7i −0.362003 + 1.76950i
\(712\) 1.30488e6 2.26013e6i 0.0964655 0.167083i
\(713\) −5.44953e6 3.09058e7i −0.401454 2.27676i
\(714\) 563418. + 690351.i 0.0413605 + 0.0506786i
\(715\) 7.92167e6 2.88325e6i 0.579498 0.210920i
\(716\) 2.07456e7 7.55078e6i 1.51232 0.550439i
\(717\) −5.19273e6 + 842808.i −0.377223 + 0.0612253i
\(718\) −3.94967e6 2.23997e7i −0.285924 1.62155i
\(719\) −7.46996e6 + 1.29383e7i −0.538885 + 0.933376i 0.460080 + 0.887878i \(0.347821\pi\)
−0.998964 + 0.0454981i \(0.985513\pi\)
\(720\) −454501. 3.06381e6i −0.0326741 0.220257i
\(721\) −142625. 247034.i −0.0102178 0.0176978i
\(722\) 1.61299e7 1.35346e7i 1.15156 0.966277i
\(723\) 1.14849e6 642370.i 0.0817112 0.0457024i
\(724\) 1.97437e6 1.11972e7i 0.139985 0.793895i
\(725\) 1.25782e6 + 1.05543e6i 0.0888736 + 0.0745738i
\(726\) −5.27887e6 + 6.11973e6i −0.371706 + 0.430914i
\(727\) −6.16270e6 2.24304e6i −0.432449 0.157399i 0.116618 0.993177i \(-0.462795\pi\)
−0.549067 + 0.835778i \(0.685017\pi\)
\(728\) 614313. 0.0429597
\(729\) 6.13531e6 + 1.29711e7i 0.427580 + 0.903978i
\(730\) −5.00385e6 −0.347534
\(731\) 5.64049e6 + 2.05297e6i 0.390412 + 0.142098i
\(732\) 9.61475e6 1.11463e7i 0.663224 0.768868i
\(733\) −401924. 337254.i −0.0276302 0.0231845i 0.628868 0.777512i \(-0.283519\pi\)
−0.656498 + 0.754328i \(0.727963\pi\)
\(734\) −6.97507e6 + 3.95576e7i −0.477868 + 2.71013i
\(735\) −4.33134e6 + 2.42259e6i −0.295736 + 0.165410i
\(736\) −2.10351e7 + 1.76505e7i −1.43136 + 1.20106i
\(737\) 379766. + 657774.i 0.0257542 + 0.0446075i
\(738\) −5.75628e6 3.88032e7i −0.389046 2.62257i
\(739\) 2.49041e6 4.31352e6i 0.167749 0.290550i −0.769879 0.638190i \(-0.779684\pi\)
0.937628 + 0.347640i \(0.113017\pi\)
\(740\) 105532. + 598504.i 0.00708446 + 0.0401779i
\(741\) −1.17869e6 + 191307.i −0.0788592 + 0.0127993i
\(742\) 2.00527e6 729858.i 0.133710 0.0486664i
\(743\) −1.48320e7 + 5.39839e6i −0.985659 + 0.358750i −0.784038 0.620713i \(-0.786843\pi\)
−0.201621 + 0.979464i \(0.564621\pi\)
\(744\) 6.75824e6 + 8.28081e6i 0.447611 + 0.548454i
\(745\) 186005. + 1.05488e6i 0.0122781 + 0.0696328i
\(746\) 5.84093e6 1.01168e7i 0.384269 0.665573i
\(747\) −4.54141e6 + 2.21988e7i −0.297775 + 1.45555i
\(748\) 7.30032e6 + 1.26445e7i 0.477076 + 0.826320i
\(749\) −542180. + 454943.i −0.0353133 + 0.0296314i
\(750\) −202994. + 1.48914e7i −0.0131774 + 0.966679i
\(751\) −2.15569e6 + 1.22255e7i −0.139472 + 0.790985i 0.832169 + 0.554522i \(0.187099\pi\)
−0.971641 + 0.236462i \(0.924012\pi\)
\(752\) −1.94412e6 1.63131e6i −0.125366 0.105194i
\(753\) 9.30293e6 + 1.77143e6i 0.597905 + 0.113851i
\(754\) −4.47838e6 1.63000e6i −0.286875 0.104414i
\(755\) 2.81778e6 0.179903
\(756\) 1.14667e6 + 726097.i 0.0729681 + 0.0462051i
\(757\) −7.30140e6 −0.463091 −0.231545 0.972824i \(-0.574378\pi\)
−0.231545 + 0.972824i \(0.574378\pi\)
\(758\) −3.19103e7 1.16144e7i −2.01724 0.734216i