Properties

Label 43.6.g.a.9.7
Level 43
Weight 6
Character 43.9
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 9.7
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.80763 - 2.26670i) q^{2} +(21.5746 + 3.25185i) q^{3} +(5.25028 - 23.0030i) q^{4} +(62.1654 + 42.3837i) q^{5} +(-31.6280 - 54.7813i) q^{6} +(1.33082 - 2.30504i) q^{7} +(-145.219 + 69.9337i) q^{8} +(222.685 + 68.6892i) q^{9} +O(q^{10})\) \(q+(-1.80763 - 2.26670i) q^{2} +(21.5746 + 3.25185i) q^{3} +(5.25028 - 23.0030i) q^{4} +(62.1654 + 42.3837i) q^{5} +(-31.6280 - 54.7813i) q^{6} +(1.33082 - 2.30504i) q^{7} +(-145.219 + 69.9337i) q^{8} +(222.685 + 68.6892i) q^{9} +(-16.3012 - 217.525i) q^{10} +(124.242 + 544.341i) q^{11} +(188.075 - 479.207i) q^{12} +(82.1364 - 1096.03i) q^{13} +(-7.63048 + 1.15011i) q^{14} +(1203.37 + 1116.56i) q^{15} +(-259.233 - 124.840i) q^{16} +(522.203 - 356.032i) q^{17} +(-246.835 - 628.925i) q^{18} +(22.1918 - 6.84526i) q^{19} +(1301.34 - 1207.46i) q^{20} +(36.2075 - 45.4028i) q^{21} +(1009.27 - 1265.59i) q^{22} +(495.405 - 459.669i) q^{23} +(-3360.45 + 1036.56i) q^{24} +(926.475 + 2360.62i) q^{25} +(-2632.85 + 1795.05i) q^{26} +(-195.829 - 94.3064i) q^{27} +(-46.0357 - 42.7149i) q^{28} +(-8135.05 + 1226.16i) q^{29} +(355.665 - 4746.02i) q^{30} +(-2825.48 + 7199.20i) q^{31} +(1333.34 + 5841.73i) q^{32} +(910.363 + 12148.0i) q^{33} +(-1750.97 - 540.102i) q^{34} +(180.427 - 86.8891i) q^{35} +(2749.21 - 4761.77i) q^{36} +(-2449.75 - 4243.10i) q^{37} +(-55.6308 - 37.9284i) q^{38} +(5336.19 - 23379.4i) q^{39} +(-11991.6 - 1807.45i) q^{40} +(-634.352 - 795.453i) q^{41} -168.365 q^{42} +(4687.88 - 11181.8i) q^{43} +13173.8 q^{44} +(10932.0 + 13708.3i) q^{45} +(-1937.44 - 292.023i) q^{46} +(-2523.30 + 11055.3i) q^{47} +(-5186.88 - 3536.35i) q^{48} +(8399.96 + 14549.2i) q^{49} +(3676.09 - 6367.18i) q^{50} +(12424.1 - 5983.12i) q^{51} +(-24780.8 - 7643.86i) q^{52} +(-465.397 - 6210.29i) q^{53} +(140.223 + 614.358i) q^{54} +(-15347.6 + 39105.0i) q^{55} +(-32.0595 + 427.805i) q^{56} +(501.039 - 75.5195i) q^{57} +(17484.5 + 16223.3i) q^{58} +(-11101.3 - 5346.08i) q^{59} +(32002.3 - 21818.8i) q^{60} +(-2373.92 - 6048.64i) q^{61} +(21425.9 - 6609.01i) q^{62} +(454.684 - 421.885i) q^{63} +(5090.66 - 6383.48i) q^{64} +(51560.0 - 64654.2i) q^{65} +(25890.2 - 24022.6i) q^{66} +(-65719.0 + 20271.6i) q^{67} +(-5448.08 - 13881.5i) q^{68} +(12182.9 - 8306.19i) q^{69} +(-523.098 - 251.911i) q^{70} +(14399.3 + 13360.6i) q^{71} +(-37141.7 + 5598.21i) q^{72} +(-4923.37 + 65697.8i) q^{73} +(-5189.58 + 13222.8i) q^{74} +(12311.9 + 53942.2i) q^{75} +(-40.9483 - 546.417i) q^{76} +(1420.07 + 438.035i) q^{77} +(-62640.0 + 30165.8i) q^{78} +(11064.0 - 19163.4i) q^{79} +(-10824.1 - 18748.0i) q^{80} +(-50706.7 - 34571.2i) q^{81} +(-656.377 + 2875.77i) q^{82} +(67053.4 + 10106.7i) q^{83} +(-854.299 - 1071.26i) q^{84} +47552.9 q^{85} +(-33819.7 + 9586.55i) q^{86} -179498. q^{87} +(-56110.1 - 70359.8i) q^{88} +(67631.8 + 10193.9i) q^{89} +(11311.6 - 49559.1i) q^{90} +(-2417.10 - 1647.95i) q^{91} +(-7972.73 - 13809.2i) q^{92} +(-84369.3 + 146132. i) q^{93} +(29620.2 - 14264.4i) q^{94} +(1669.69 + 515.031i) q^{95} +(9769.80 + 130369. i) q^{96} +(-14107.9 - 61810.9i) q^{97} +(17794.5 - 45339.7i) q^{98} +(-9723.46 + 129751. i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80763 2.26670i −0.319548 0.400700i 0.595951 0.803021i \(-0.296775\pi\)
−0.915499 + 0.402321i \(0.868204\pi\)
\(3\) 21.5746 + 3.25185i 1.38401 + 0.208606i 0.798469 0.602036i \(-0.205644\pi\)
0.585542 + 0.810642i \(0.300882\pi\)
\(4\) 5.25028 23.0030i 0.164071 0.718843i
\(5\) 62.1654 + 42.3837i 1.11205 + 0.758182i 0.972701 0.232061i \(-0.0745470\pi\)
0.139348 + 0.990243i \(0.455499\pi\)
\(6\) −31.6280 54.7813i −0.358669 0.621233i
\(7\) 1.33082 2.30504i 0.0102653 0.0177801i −0.860847 0.508864i \(-0.830066\pi\)
0.871112 + 0.491084i \(0.163399\pi\)
\(8\) −145.219 + 69.9337i −0.802228 + 0.386333i
\(9\) 222.685 + 68.6892i 0.916398 + 0.282671i
\(10\) −16.3012 217.525i −0.0515490 0.687873i
\(11\) 124.242 + 544.341i 0.309590 + 1.35640i 0.855171 + 0.518346i \(0.173452\pi\)
−0.545580 + 0.838058i \(0.683691\pi\)
\(12\) 188.075 479.207i 0.377031 0.960660i
\(13\) 82.1364 1096.03i 0.134796 1.79873i −0.363369 0.931645i \(-0.618373\pi\)
0.498165 0.867082i \(-0.334007\pi\)
\(14\) −7.63048 + 1.15011i −0.0104048 + 0.00156826i
\(15\) 1203.37 + 1116.56i 1.38093 + 1.28131i
\(16\) −259.233 124.840i −0.253157 0.121914i
\(17\) 522.203 356.032i 0.438245 0.298790i −0.324026 0.946048i \(-0.605037\pi\)
0.762271 + 0.647258i \(0.224084\pi\)
\(18\) −246.835 628.925i −0.179566 0.457528i
\(19\) 22.1918 6.84526i 0.0141029 0.00435017i −0.287696 0.957722i \(-0.592889\pi\)
0.301799 + 0.953372i \(0.402413\pi\)
\(20\) 1301.34 1207.46i 0.727469 0.674992i
\(21\) 36.2075 45.4028i 0.0179164 0.0224664i
\(22\) 1009.27 1265.59i 0.444582 0.557489i
\(23\) 495.405 459.669i 0.195272 0.181186i −0.576476 0.817114i \(-0.695573\pi\)
0.771749 + 0.635927i \(0.219382\pi\)
\(24\) −3360.45 + 1036.56i −1.19088 + 0.367339i
\(25\) 926.475 + 2360.62i 0.296472 + 0.755398i
\(26\) −2632.85 + 1795.05i −0.763824 + 0.520766i
\(27\) −195.829 94.3064i −0.0516973 0.0248961i
\(28\) −46.0357 42.7149i −0.0110968 0.0102964i
\(29\) −8135.05 + 1226.16i −1.79624 + 0.270740i −0.960480 0.278348i \(-0.910213\pi\)
−0.835764 + 0.549088i \(0.814975\pi\)
\(30\) 355.665 4746.02i 0.0721502 0.962778i
\(31\) −2825.48 + 7199.20i −0.528066 + 1.34549i 0.379349 + 0.925254i \(0.376148\pi\)
−0.907415 + 0.420236i \(0.861947\pi\)
\(32\) 1333.34 + 5841.73i 0.230179 + 1.00848i
\(33\) 910.363 + 12148.0i 0.145522 + 1.94186i
\(34\) −1750.97 540.102i −0.259765 0.0801270i
\(35\) 180.427 86.8891i 0.0248961 0.0119893i
\(36\) 2749.21 4761.77i 0.353551 0.612368i
\(37\) −2449.75 4243.10i −0.294183 0.509540i 0.680611 0.732645i \(-0.261714\pi\)
−0.974795 + 0.223104i \(0.928381\pi\)
\(38\) −55.6308 37.9284i −0.00624966 0.00426095i
\(39\) 5336.19 23379.4i 0.561785 2.46134i
\(40\) −11991.6 1807.45i −1.18503 0.178614i
\(41\) −634.352 795.453i −0.0589347 0.0739017i 0.751490 0.659744i \(-0.229335\pi\)
−0.810425 + 0.585842i \(0.800764\pi\)
\(42\) −168.365 −0.0147274
\(43\) 4687.88 11181.8i 0.386639 0.922231i
\(44\) 13173.8 1.02584
\(45\) 10932.0 + 13708.3i 0.804763 + 1.00914i
\(46\) −1937.44 292.023i −0.135000 0.0203480i
\(47\) −2523.30 + 11055.3i −0.166619 + 0.730004i 0.820714 + 0.571340i \(0.193576\pi\)
−0.987333 + 0.158665i \(0.949281\pi\)
\(48\) −5186.88 3536.35i −0.324940 0.221540i
\(49\) 8399.96 + 14549.2i 0.499789 + 0.865660i
\(50\) 3676.09 6367.18i 0.207951 0.360182i
\(51\) 12424.1 5983.12i 0.668865 0.322109i
\(52\) −24780.8 7643.86i −1.27089 0.392016i
\(53\) −465.397 6210.29i −0.0227580 0.303684i −0.996955 0.0779835i \(-0.975152\pi\)
0.974197 0.225701i \(-0.0724672\pi\)
\(54\) 140.223 + 614.358i 0.00654388 + 0.0286706i
\(55\) −15347.6 + 39105.0i −0.684122 + 1.74311i
\(56\) −32.0595 + 427.805i −0.00136611 + 0.0182295i
\(57\) 501.039 75.5195i 0.0204260 0.00307873i
\(58\) 17484.5 + 16223.3i 0.682471 + 0.633241i
\(59\) −11101.3 5346.08i −0.415185 0.199943i 0.214617 0.976698i \(-0.431150\pi\)
−0.629802 + 0.776756i \(0.716864\pi\)
\(60\) 32002.3 21818.8i 1.14763 0.782443i
\(61\) −2373.92 6048.64i −0.0816848 0.208129i 0.884196 0.467116i \(-0.154707\pi\)
−0.965881 + 0.258986i \(0.916612\pi\)
\(62\) 21425.9 6609.01i 0.707880 0.218352i
\(63\) 454.684 421.885i 0.0144331 0.0133919i
\(64\) 5090.66 6383.48i 0.155354 0.194808i
\(65\) 51560.0 64654.2i 1.51366 1.89807i
\(66\) 25890.2 24022.6i 0.731603 0.678828i
\(67\) −65719.0 + 20271.6i −1.78856 + 0.551698i −0.998146 0.0608708i \(-0.980612\pi\)
−0.790417 + 0.612569i \(0.790136\pi\)
\(68\) −5448.08 13881.5i −0.142880 0.364052i
\(69\) 12182.9 8306.19i 0.308056 0.210029i
\(70\) −523.098 251.911i −0.0127596 0.00614471i
\(71\) 14399.3 + 13360.6i 0.338997 + 0.314544i 0.831239 0.555915i \(-0.187632\pi\)
−0.492242 + 0.870458i \(0.663822\pi\)
\(72\) −37141.7 + 5598.21i −0.844366 + 0.127268i
\(73\) −4923.37 + 65697.8i −0.108132 + 1.44293i 0.634343 + 0.773052i \(0.281271\pi\)
−0.742475 + 0.669874i \(0.766348\pi\)
\(74\) −5189.58 + 13222.8i −0.110167 + 0.280702i
\(75\) 12311.9 + 53942.2i 0.252740 + 1.10733i
\(76\) −40.9483 546.417i −0.000813208 0.0108515i
\(77\) 1420.07 + 438.035i 0.0272951 + 0.00841941i
\(78\) −62640.0 + 30165.8i −1.16578 + 0.561408i
\(79\) 11064.0 19163.4i 0.199454 0.345465i −0.748897 0.662686i \(-0.769416\pi\)
0.948352 + 0.317221i \(0.102750\pi\)
\(80\) −10824.1 18748.0i −0.189090 0.327513i
\(81\) −50706.7 34571.2i −0.858723 0.585467i
\(82\) −656.377 + 2875.77i −0.0107800 + 0.0472302i
\(83\) 67053.4 + 10106.7i 1.06838 + 0.161032i 0.659612 0.751606i \(-0.270720\pi\)
0.408768 + 0.912638i \(0.365959\pi\)
\(84\) −854.299 1071.26i −0.0132103 0.0165652i
\(85\) 47552.9 0.713887
\(86\) −33819.7 + 9586.55i −0.493087 + 0.139771i
\(87\) −179498. −2.54250
\(88\) −56110.1 70359.8i −0.772386 0.968541i
\(89\) 67631.8 + 10193.9i 0.905057 + 0.136415i 0.585047 0.810999i \(-0.301076\pi\)
0.320009 + 0.947414i \(0.396314\pi\)
\(90\) 11311.6 49559.1i 0.147203 0.644937i
\(91\) −2417.10 1647.95i −0.0305978 0.0208612i
\(92\) −7972.73 13809.2i −0.0982059 0.170098i
\(93\) −84369.3 + 146132.i −1.01153 + 1.75201i
\(94\) 29620.2 14264.4i 0.345755 0.166507i
\(95\) 1669.69 + 515.031i 0.0189813 + 0.00585497i
\(96\) 9769.80 + 130369.i 0.108195 + 1.44376i
\(97\) −14107.9 61810.9i −0.152242 0.667016i −0.992231 0.124412i \(-0.960296\pi\)
0.839989 0.542604i \(-0.182561\pi\)
\(98\) 17794.5 45339.7i 0.187164 0.476885i
\(99\) −9723.46 + 129751.i −0.0997086 + 1.33052i
\(100\) 59165.5 8917.76i 0.591655 0.0891776i
\(101\) −80925.5 75087.9i −0.789373 0.732431i 0.178481 0.983943i \(-0.442882\pi\)
−0.967854 + 0.251512i \(0.919072\pi\)
\(102\) −36020.1 17346.4i −0.342803 0.165085i
\(103\) 92701.5 63202.8i 0.860981 0.587007i −0.0503268 0.998733i \(-0.516026\pi\)
0.911308 + 0.411726i \(0.135074\pi\)
\(104\) 64721.9 + 164909.i 0.586770 + 1.49507i
\(105\) 4175.19 1287.88i 0.0369576 0.0113999i
\(106\) −13235.6 + 12280.9i −0.114414 + 0.106161i
\(107\) 115299. 144580.i 0.973568 1.22082i −0.00174703 0.999998i \(-0.500556\pi\)
0.975315 0.220817i \(-0.0708725\pi\)
\(108\) −3197.48 + 4009.52i −0.0263784 + 0.0330775i
\(109\) 34297.8 31823.7i 0.276503 0.256557i −0.529715 0.848175i \(-0.677701\pi\)
0.806218 + 0.591618i \(0.201511\pi\)
\(110\) 116382. 35899.2i 0.917075 0.282880i
\(111\) −39054.5 99509.3i −0.300860 0.766578i
\(112\) −632.753 + 431.404i −0.00476638 + 0.00324967i
\(113\) 129823. + 62519.3i 0.956433 + 0.460594i 0.845937 0.533283i \(-0.179042\pi\)
0.110496 + 0.993877i \(0.464756\pi\)
\(114\) −1076.87 999.194i −0.00776074 0.00720091i
\(115\) 50279.5 7578.42i 0.354525 0.0534360i
\(116\) −14505.9 + 193568.i −0.100092 + 1.33564i
\(117\) 93576.1 238428.i 0.631976 1.61025i
\(118\) 7949.03 + 34827.0i 0.0525544 + 0.230256i
\(119\) −125.712 1677.51i −0.000813786 0.0108592i
\(120\) −252837. 77990.0i −1.60283 0.494408i
\(121\) −135769. + 65382.9i −0.843018 + 0.405976i
\(122\) −9419.29 + 16314.7i −0.0572953 + 0.0992383i
\(123\) −11099.2 19224.4i −0.0661499 0.114575i
\(124\) 150768. + 102792.i 0.880555 + 0.600352i
\(125\) 9862.57 43210.8i 0.0564567 0.247353i
\(126\) −1778.19 268.019i −0.00997820 0.00150397i
\(127\) −103927. 130320.i −0.571767 0.716973i 0.408917 0.912571i \(-0.365906\pi\)
−0.980684 + 0.195599i \(0.937335\pi\)
\(128\) 168071. 0.906711
\(129\) 137501. 225998.i 0.727495 1.19572i
\(130\) −239753. −1.24425
\(131\) −78093.1 97925.7i −0.397589 0.498561i 0.542232 0.840229i \(-0.317580\pi\)
−0.939821 + 0.341668i \(0.889008\pi\)
\(132\) 284219. + 42839.1i 1.41977 + 0.213996i
\(133\) 13.7546 60.2629i 6.74247e−5 0.000295407i
\(134\) 164746. + 112322.i 0.792596 + 0.540383i
\(135\) −8176.76 14162.6i −0.0386142 0.0668817i
\(136\) −50935.0 + 88222.1i −0.236140 + 0.409006i
\(137\) −332055. + 159909.i −1.51150 + 0.727901i −0.991961 0.126545i \(-0.959611\pi\)
−0.519540 + 0.854446i \(0.673897\pi\)
\(138\) −40850.0 12600.5i −0.182597 0.0563237i
\(139\) 8743.63 + 116676.i 0.0383844 + 0.512204i 0.982949 + 0.183879i \(0.0588653\pi\)
−0.944565 + 0.328326i \(0.893516\pi\)
\(140\) −1051.42 4606.55i −0.00453371 0.0198635i
\(141\) −90389.3 + 230308.i −0.382886 + 0.975577i
\(142\) 4255.83 56790.1i 0.0177118 0.236348i
\(143\) 606821. 91463.5i 2.48153 0.374031i
\(144\) −49152.0 45606.4i −0.197531 0.183282i
\(145\) −557688. 268569.i −2.20278 1.06080i
\(146\) 157817. 107598.i 0.612734 0.417755i
\(147\) 133914. + 341208.i 0.511132 + 1.30234i
\(148\) −110466. + 34074.1i −0.414546 + 0.127871i
\(149\) 199578. 185181.i 0.736456 0.683331i −0.219905 0.975521i \(-0.570575\pi\)
0.956360 + 0.292190i \(0.0943841\pi\)
\(150\) 100015. 125415.i 0.362943 0.455116i
\(151\) 142591. 178804.i 0.508921 0.638167i −0.459295 0.888284i \(-0.651898\pi\)
0.968216 + 0.250117i \(0.0804692\pi\)
\(152\) −2743.95 + 2546.02i −0.00963313 + 0.00893824i
\(153\) 140742. 43413.2i 0.486066 0.149932i
\(154\) −1574.08 4010.69i −0.00534841 0.0136275i
\(155\) −480776. + 327787.i −1.60736 + 1.09588i
\(156\) −509779. 245497.i −1.67714 0.807670i
\(157\) 176670. + 163925.i 0.572022 + 0.530759i 0.912277 0.409575i \(-0.134323\pi\)
−0.340255 + 0.940333i \(0.610513\pi\)
\(158\) −63437.2 + 9561.62i −0.202163 + 0.0304711i
\(159\) 10154.2 135498.i 0.0318531 0.425050i
\(160\) −164707. + 419666.i −0.508641 + 1.29600i
\(161\) −400.263 1753.67i −0.00121697 0.00533190i
\(162\) 13296.5 + 177429.i 0.0398060 + 0.531175i
\(163\) 597774. + 184389.i 1.76225 + 0.543583i 0.995188 0.0979884i \(-0.0312408\pi\)
0.767064 + 0.641571i \(0.221717\pi\)
\(164\) −21628.3 + 10415.6i −0.0627932 + 0.0302396i
\(165\) −458282. + 793767.i −1.31046 + 2.26978i
\(166\) −98299.2 170259.i −0.276873 0.479557i
\(167\) 29472.1 + 20093.8i 0.0817750 + 0.0557532i 0.603517 0.797350i \(-0.293765\pi\)
−0.521742 + 0.853103i \(0.674718\pi\)
\(168\) −2082.83 + 9125.47i −0.00569351 + 0.0249449i
\(169\) −827397. 124710.i −2.22842 0.335880i
\(170\) −85958.2 107788.i −0.228121 0.286055i
\(171\) 5411.97 0.0141535
\(172\) −232601. 166543.i −0.599503 0.429244i
\(173\) −625842. −1.58983 −0.794913 0.606724i \(-0.792483\pi\)
−0.794913 + 0.606724i \(0.792483\pi\)
\(174\) 324466. + 406868.i 0.812450 + 1.01878i
\(175\) 6674.30 + 1005.99i 0.0164744 + 0.00248312i
\(176\) 35747.8 156621.i 0.0869896 0.381126i
\(177\) −222121. 151439.i −0.532912 0.363333i
\(178\) −99147.1 171728.i −0.234547 0.406247i
\(179\) 113613. 196783.i 0.265030 0.459046i −0.702541 0.711643i \(-0.747951\pi\)
0.967572 + 0.252597i \(0.0812847\pi\)
\(180\) 372727. 179496.i 0.857452 0.412927i
\(181\) 272645. + 84099.9i 0.618588 + 0.190809i 0.588182 0.808729i \(-0.299844\pi\)
0.0304059 + 0.999538i \(0.490320\pi\)
\(182\) 633.819 + 8457.73i 0.00141836 + 0.0189267i
\(183\) −31547.1 138217.i −0.0696356 0.305093i
\(184\) −39795.8 + 101398.i −0.0866549 + 0.220793i
\(185\) 27548.1 367603.i 0.0591782 0.789678i
\(186\) 483746. 72913.0i 1.02526 0.154534i
\(187\) 258682. + 240022.i 0.540957 + 0.501935i
\(188\) 241056. + 116087.i 0.497421 + 0.239545i
\(189\) −477.994 + 325.890i −0.000973347 + 0.000663616i
\(190\) −1850.77 4715.68i −0.00371935 0.00947676i
\(191\) 169840. 52388.6i 0.336865 0.103909i −0.121708 0.992566i \(-0.538837\pi\)
0.458573 + 0.888657i \(0.348361\pi\)
\(192\) 130587. 121167.i 0.255651 0.237209i
\(193\) 170677. 214022.i 0.329824 0.413586i −0.589075 0.808078i \(-0.700508\pi\)
0.918899 + 0.394492i \(0.129079\pi\)
\(194\) −114605. + 143710.i −0.218625 + 0.274146i
\(195\) 1.32263e6 1.22722e6i 2.49088 2.31120i
\(196\) 378776. 116837.i 0.704274 0.217240i
\(197\) 301866. + 769142.i 0.554177 + 1.41202i 0.883781 + 0.467902i \(0.154990\pi\)
−0.329603 + 0.944120i \(0.606915\pi\)
\(198\) 311682. 212501.i 0.565001 0.385211i
\(199\) 515685. + 248341.i 0.923106 + 0.444544i 0.834179 0.551494i \(-0.185942\pi\)
0.0889270 + 0.996038i \(0.471656\pi\)
\(200\) −299628. 278015.i −0.529673 0.491465i
\(201\) −1.48378e6 + 223644.i −2.59048 + 0.390452i
\(202\) −23918.1 + 319166.i −0.0412429 + 0.550348i
\(203\) −7999.92 + 20383.5i −0.0136253 + 0.0347166i
\(204\) −72399.7 317204.i −0.121804 0.533658i
\(205\) −5720.58 76335.8i −0.00950726 0.126866i
\(206\) −310832. 95879.0i −0.510338 0.157418i
\(207\) 141893. 68332.3i 0.230164 0.110841i
\(208\) −158121. + 273874.i −0.253414 + 0.438927i
\(209\) 6483.31 + 11229.4i 0.0102667 + 0.0177825i
\(210\) −10466.5 7135.91i −0.0163776 0.0111661i
\(211\) 212156. 929515.i 0.328057 1.43731i −0.494773 0.869022i \(-0.664749\pi\)
0.822830 0.568288i \(-0.192394\pi\)
\(212\) −145299. 21900.2i −0.222035 0.0334664i
\(213\) 267213. + 335075.i 0.403560 + 0.506049i
\(214\) −536139. −0.800282
\(215\) 765349. 496431.i 1.12918 0.732424i
\(216\) 35033.3 0.0510913
\(217\) 12834.3 + 16093.7i 0.0185022 + 0.0232010i
\(218\) −134133. 20217.2i −0.191158 0.0288125i
\(219\) −319859. + 1.40139e6i −0.450660 + 1.97447i
\(220\) 818952. + 558352.i 1.14078 + 0.777771i
\(221\) −347331. 601595.i −0.478369 0.828559i
\(222\) −154962. + 268401.i −0.211029 + 0.365513i
\(223\) 115466. 55605.5i 0.155486 0.0748782i −0.354522 0.935048i \(-0.615357\pi\)
0.510009 + 0.860169i \(0.329642\pi\)
\(224\) 15239.9 + 4700.88i 0.0202937 + 0.00625978i
\(225\) 44162.9 + 589313.i 0.0581569 + 0.776050i
\(226\) −92959.3 407281.i −0.121066 0.530424i
\(227\) −437595. + 1.11497e6i −0.563648 + 1.43615i 0.310538 + 0.950561i \(0.399491\pi\)
−0.874186 + 0.485591i \(0.838605\pi\)
\(228\) 893.421 11921.9i 0.00113820 0.0151882i
\(229\) −909517. + 137088.i −1.14610 + 0.172747i −0.694513 0.719481i \(-0.744380\pi\)
−0.451587 + 0.892227i \(0.649142\pi\)
\(230\) −108065. 100270.i −0.134699 0.124983i
\(231\) 29213.1 + 14068.3i 0.0360203 + 0.0173465i
\(232\) 1.09561e6 746976.i 1.33640 0.911144i
\(233\) −206707. 526682.i −0.249440 0.635563i 0.750232 0.661175i \(-0.229942\pi\)
−0.999672 + 0.0256120i \(0.991847\pi\)
\(234\) −709597. + 218882.i −0.847173 + 0.261318i
\(235\) −625426. + 580310.i −0.738765 + 0.685473i
\(236\) −181260. + 227293.i −0.211847 + 0.265648i
\(237\) 301017. 377463.i 0.348113 0.436520i
\(238\) −3575.18 + 3317.28i −0.00409125 + 0.00379612i
\(239\) 729930. 225154.i 0.826583 0.254967i 0.147531 0.989057i \(-0.452867\pi\)
0.679052 + 0.734090i \(0.262391\pi\)
\(240\) −172561. 439678.i −0.193381 0.492727i
\(241\) 434200. 296033.i 0.481557 0.328320i −0.298092 0.954537i \(-0.596350\pi\)
0.779649 + 0.626217i \(0.215398\pi\)
\(242\) 393624. + 189559.i 0.432059 + 0.208069i
\(243\) −942839. 874827.i −1.02429 0.950400i
\(244\) −151600. + 22850.1i −0.163014 + 0.0245705i
\(245\) −94459.6 + 1.26048e6i −0.100538 + 1.34159i
\(246\) −23512.6 + 59909.2i −0.0247722 + 0.0631184i
\(247\) −5679.88 24885.2i −0.00592375 0.0259537i
\(248\) −93154.2 1.24306e6i −0.0961774 1.28340i
\(249\) 1.41379e6 + 436095.i 1.44506 + 0.445741i
\(250\) −115774. + 55753.7i −0.117155 + 0.0564188i
\(251\) −846117. + 1.46552e6i −0.847708 + 1.46827i 0.0355411 + 0.999368i \(0.488685\pi\)
−0.883249 + 0.468905i \(0.844649\pi\)
\(252\) −7317.40 12674.1i −0.00725864 0.0125723i
\(253\) 311767. + 212559.i 0.306217 + 0.208775i
\(254\) −107535. + 471143.i −0.104584 + 0.458214i
\(255\) 1.02593e6 + 154635.i 0.988028 + 0.148921i
\(256\) −466713. 585239.i −0.445092 0.558127i
\(257\) 827281. 0.781305 0.390652 0.920538i \(-0.372249\pi\)
0.390652 + 0.920538i \(0.372249\pi\)
\(258\) −760821. + 96849.3i −0.711596 + 0.0905831i
\(259\) −13040.7 −0.0120796
\(260\) −1.21653e6 1.52548e6i −1.11607 1.39950i
\(261\) −1.89578e6 285742.i −1.72261 0.259641i
\(262\) −80804.5 + 354028.i −0.0727247 + 0.318628i
\(263\) 18536.6 + 12638.1i 0.0165250 + 0.0112666i 0.571554 0.820564i \(-0.306341\pi\)
−0.555029 + 0.831831i \(0.687293\pi\)
\(264\) −981753. 1.70045e6i −0.866947 1.50160i
\(265\) 234283. 405791.i 0.204940 0.354967i
\(266\) −161.461 + 77.7556i −0.000139915 + 6.73795e-5i
\(267\) 1.42598e6 + 439857.i 1.22415 + 0.377601i
\(268\) 121265. + 1.61816e6i 0.103133 + 1.37621i
\(269\) −193165. 846311.i −0.162760 0.713098i −0.988770 0.149443i \(-0.952252\pi\)
0.826010 0.563655i \(-0.190605\pi\)
\(270\) −17321.7 + 44135.0i −0.0144604 + 0.0368446i
\(271\) 10710.9 142927.i 0.00885935 0.118220i −0.991021 0.133709i \(-0.957311\pi\)
0.999880 + 0.0154888i \(0.00493043\pi\)
\(272\) −179819. + 27103.3i −0.147371 + 0.0222127i
\(273\) −46789.0 43413.9i −0.0379960 0.0352551i
\(274\) 962700. + 463612.i 0.774666 + 0.373060i
\(275\) −1.16987e6 + 797607.i −0.932841 + 0.636000i
\(276\) −127103. 323854.i −0.100435 0.255903i
\(277\) 352266. 108660.i 0.275849 0.0850880i −0.153744 0.988111i \(-0.549133\pi\)
0.429593 + 0.903023i \(0.358657\pi\)
\(278\) 248664. 230726.i 0.192975 0.179054i
\(279\) −1.12370e6 + 1.40907e6i −0.864250 + 1.08373i
\(280\) −20124.9 + 25235.9i −0.0153405 + 0.0192364i
\(281\) −894072. + 829578.i −0.675471 + 0.626746i −0.941418 0.337242i \(-0.890506\pi\)
0.265947 + 0.963988i \(0.414315\pi\)
\(282\) 685430. 211427.i 0.513264 0.158321i
\(283\) 242920. + 618949.i 0.180300 + 0.459398i 0.992239 0.124345i \(-0.0396830\pi\)
−0.811939 + 0.583743i \(0.801588\pi\)
\(284\) 382934. 261080.i 0.281727 0.192078i
\(285\) 34348.1 + 16541.2i 0.0250490 + 0.0120630i
\(286\) −1.30423e6 1.21015e6i −0.942842 0.874830i
\(287\) −2677.76 + 403.607i −0.00191896 + 0.000289237i
\(288\) −104350. + 1.39245e6i −0.0741328 + 0.989233i
\(289\) −372795. + 949866.i −0.262558 + 0.668987i
\(290\) 399332. + 1.74959e6i 0.278830 + 1.22163i
\(291\) −103373. 1.37942e6i −0.0715610 0.954916i
\(292\) 1.48540e6 + 458184.i 1.01949 + 0.314473i
\(293\) 1.71702e6 826873.i 1.16844 0.562691i 0.253917 0.967226i \(-0.418281\pi\)
0.914522 + 0.404536i \(0.132567\pi\)
\(294\) 531348. 920322.i 0.358518 0.620971i
\(295\) −463528. 802854.i −0.310114 0.537132i
\(296\) 652486. + 444857.i 0.432854 + 0.295115i
\(297\) 27004.6 118315.i 0.0177642 0.0778301i
\(298\) −780514. 117644.i −0.509143 0.0767410i
\(299\) −463122. 580736.i −0.299583 0.375665i
\(300\) 1.30547e6 0.837460
\(301\) −19535.8 25686.7i −0.0124284 0.0163415i
\(302\) −663047. −0.418338
\(303\) −1.50176e6 1.88315e6i −0.939711 1.17836i
\(304\) −6607.40 995.905i −0.00410059 0.000618065i
\(305\) 108788. 476632.i 0.0669625 0.293382i
\(306\) −352815. 240545.i −0.215399 0.146856i
\(307\) 1.43742e6 + 2.48968e6i 0.870437 + 1.50764i 0.861545 + 0.507681i \(0.169497\pi\)
0.00889158 + 0.999960i \(0.497170\pi\)
\(308\) 17531.9 30366.1i 0.0105306 0.0182395i
\(309\) 2.20552e6 1.06212e6i 1.31406 0.632818i
\(310\) 1.61206e6 + 497256.i 0.952747 + 0.293884i
\(311\) 114683. + 1.53034e6i 0.0672353 + 0.897192i 0.924222 + 0.381855i \(0.124715\pi\)
−0.856987 + 0.515338i \(0.827666\pi\)
\(312\) 860092. + 3.76831e6i 0.500217 + 2.19159i
\(313\) 39300.7 100137.i 0.0226746 0.0577739i −0.919088 0.394052i \(-0.871073\pi\)
0.941763 + 0.336278i \(0.109168\pi\)
\(314\) 52216.0 696774.i 0.0298868 0.398812i
\(315\) 46146.7 6955.50i 0.0262038 0.00394959i
\(316\) −382725. 355117.i −0.215610 0.200057i
\(317\) −1.19095e6 573532.i −0.665650 0.320560i 0.0703691 0.997521i \(-0.477582\pi\)
−0.736019 + 0.676961i \(0.763297\pi\)
\(318\) −325489. + 221914.i −0.180496 + 0.123060i
\(319\) −1.67817e6 4.27590e6i −0.923334 2.35262i
\(320\) 587018. 181071.i 0.320462 0.0988495i
\(321\) 2.95769e6 2.74433e6i 1.60210 1.48653i
\(322\) −3251.51 + 4077.26i −0.00174761 + 0.00219144i
\(323\) 9151.48 11475.6i 0.00488074 0.00612025i
\(324\) −1.06147e6 + 984896.i −0.561750 + 0.521228i
\(325\) 2.66342e6 821555.i 1.39872 0.431448i
\(326\) −662602. 1.68828e6i −0.345310 0.879834i
\(327\) 843446. 575052.i 0.436202 0.297398i
\(328\) 147749. + 71152.1i 0.0758297 + 0.0365177i
\(329\) 22124.9 + 20528.9i 0.0112692 + 0.0104562i
\(330\) 2.62764e6 396053.i 1.32825 0.200202i
\(331\) 26825.2 357958.i 0.0134578 0.179582i −0.986424 0.164217i \(-0.947490\pi\)
0.999882 0.0153643i \(-0.00489079\pi\)
\(332\) 584533. 1.48936e6i 0.291047 0.741576i
\(333\) −254068. 1.11314e6i −0.125557 0.550099i
\(334\) −7728.28 103127.i −0.00379068 0.0505830i
\(335\) −4.94464e6 1.52522e6i −2.40726 0.742541i
\(336\) −15054.2 + 7249.74i −0.00727463 + 0.00350328i
\(337\) −601067. + 1.04108e6i −0.288302 + 0.499355i −0.973405 0.229092i \(-0.926424\pi\)
0.685102 + 0.728447i \(0.259758\pi\)
\(338\) 1.21295e6 + 2.10089e6i 0.577499 + 1.00026i
\(339\) 2.59757e6 + 1.77099e6i 1.22763 + 0.836985i
\(340\) 249666. 1.09386e6i 0.117128 0.513173i
\(341\) −4.26986e6 643579.i −1.98851 0.299720i
\(342\) −9782.86 12267.3i −0.00452273 0.00567132i
\(343\) 89449.4 0.0410527
\(344\) 101215. + 1.95165e6i 0.0461157 + 0.889211i
\(345\) 1.10941e6 0.501814
\(346\) 1.13129e6 + 1.41860e6i 0.508025 + 0.637043i
\(347\) 1.87677e6 + 282877.i 0.836733 + 0.126117i 0.553412 0.832908i \(-0.313326\pi\)
0.283321 + 0.959025i \(0.408564\pi\)
\(348\) −942413. + 4.12898e6i −0.417151 + 1.82766i
\(349\) −887689. 605216.i −0.390119 0.265979i 0.352337 0.935873i \(-0.385387\pi\)
−0.742456 + 0.669894i \(0.766339\pi\)
\(350\) −9784.42 16947.1i −0.00426938 0.00739478i
\(351\) −119448. + 206889.i −0.0517499 + 0.0896335i
\(352\) −3.01424e6 + 1.45158e6i −1.29664 + 0.624431i
\(353\) −563637. 173859.i −0.240748 0.0742609i 0.172033 0.985091i \(-0.444966\pi\)
−0.412781 + 0.910830i \(0.635443\pi\)
\(354\) 58245.1 + 777227.i 0.0247031 + 0.329640i
\(355\) 328868. + 1.44087e6i 0.138500 + 0.606810i
\(356\) 589574. 1.50221e6i 0.246555 0.628211i
\(357\) 2742.83 36600.5i 0.00113901 0.0151990i
\(358\) −651420. + 98185.8i −0.268629 + 0.0404894i
\(359\) −2.08524e6 1.93482e6i −0.853927 0.792329i 0.125928 0.992039i \(-0.459809\pi\)
−0.979855 + 0.199711i \(0.936000\pi\)
\(360\) −2.54620e6 1.22619e6i −1.03547 0.498655i
\(361\) −2.04540e6 + 1.39453e6i −0.826059 + 0.563197i
\(362\) −302213. 770027.i −0.121211 0.308841i
\(363\) −3.14178e6 + 969109.i −1.25144 + 0.386017i
\(364\) −50598.1 + 46948.2i −0.0200162 + 0.0185723i
\(365\) −3.09058e6 + 3.87546e6i −1.21425 + 1.52262i
\(366\) −256270. + 321353.i −0.0999990 + 0.125395i
\(367\) 3.40416e6 3.15860e6i 1.31930 1.22413i 0.362989 0.931794i \(-0.381756\pi\)
0.956314 0.292341i \(-0.0944341\pi\)
\(368\) −185810. + 57314.8i −0.0715237 + 0.0220621i
\(369\) −86621.6 220708.i −0.0331177 0.0843826i
\(370\) −883044. + 602049.i −0.335334 + 0.228627i
\(371\) −14934.4 7192.01i −0.00563316 0.00271279i
\(372\) 2.91851e6 + 2.70798e6i 1.09346 + 1.01458i
\(373\) 532391. 80245.1i 0.198134 0.0298639i −0.0492254 0.998788i \(-0.515675\pi\)
0.247359 + 0.968924i \(0.420437\pi\)
\(374\) 76455.5 1.02023e6i 0.0282637 0.377153i
\(375\) 353296. 900183.i 0.129736 0.330562i
\(376\) −406707. 1.78190e6i −0.148358 0.650000i
\(377\) 675731. + 9.01700e6i 0.244861 + 3.26745i
\(378\) 1602.73 + 494.378i 0.000576942 + 0.000177963i
\(379\) 762911. 367398.i 0.272820 0.131383i −0.292472 0.956274i \(-0.594478\pi\)
0.565292 + 0.824891i \(0.308764\pi\)
\(380\) 20613.6 35703.8i 0.00732309 0.0126840i
\(381\) −1.81840e6 3.14956e6i −0.641767 1.11157i
\(382\) −425757. 290276.i −0.149281 0.101778i
\(383\) −4291.29 + 18801.4i −0.00149483 + 0.00654927i −0.975670 0.219245i \(-0.929641\pi\)
0.974175 + 0.225794i \(0.0724977\pi\)
\(384\) 3.62607e6 + 546543.i 1.25490 + 0.189146i
\(385\) 69714.0 + 87418.6i 0.0239700 + 0.0300574i
\(386\) −793647. −0.271118
\(387\) 1.81199e6 2.16801e6i 0.615003 0.735839i
\(388\) −1.49590e6 −0.504458
\(389\) 1.17012e6 + 1.46728e6i 0.392062 + 0.491630i 0.938214 0.346056i \(-0.112479\pi\)
−0.546152 + 0.837686i \(0.683908\pi\)
\(390\) −5.17258e6 779641.i −1.72205 0.259557i
\(391\) 95045.2 416420.i 0.0314404 0.137750i
\(392\) −2.23731e6 1.52537e6i −0.735378 0.501372i
\(393\) −1.36639e6 2.36665e6i −0.446265 0.772954i
\(394\) 1.19775e6 2.07457e6i 0.388711 0.673267i
\(395\) 1.50001e6 722367.i 0.483728 0.232951i
\(396\) 2.93360e6 + 904894.i 0.940074 + 0.289975i
\(397\) −388500. 5.18418e6i −0.123713 1.65083i −0.621411 0.783485i \(-0.713440\pi\)
0.497698 0.867350i \(-0.334179\pi\)
\(398\) −369255. 1.61781e6i −0.116847 0.511942i
\(399\) 492.716 1255.42i 0.000154940 0.000394781i
\(400\) 54526.9 727610.i 0.0170396 0.227378i
\(401\) 1.16244e6 175209.i 0.361001 0.0544121i 0.0339623 0.999423i \(-0.489187\pi\)
0.327039 + 0.945011i \(0.393949\pi\)
\(402\) 3.18907e6 + 2.95902e6i 0.984235 + 0.913237i
\(403\) 7.65849e6 + 3.68814e6i 2.34899 + 1.13121i
\(404\) −2.15213e6 + 1.46729e6i −0.656016 + 0.447264i
\(405\) −1.68695e6 4.29827e6i −0.511051 1.30214i
\(406\) 60664.1 18712.4i 0.0182649 0.00563397i
\(407\) 2.00533e6 1.86067e6i 0.600067 0.556780i
\(408\) −1.38579e6 + 1.73772e6i −0.412142 + 0.516809i
\(409\) −3.96146e6 + 4.96751e6i −1.17097 + 1.46835i −0.316703 + 0.948525i \(0.602576\pi\)
−0.854270 + 0.519829i \(0.825996\pi\)
\(410\) −162690. + 150954.i −0.0477970 + 0.0443491i
\(411\) −7.68395e6 + 2.37019e6i −2.24378 + 0.692114i
\(412\) −967143. 2.46424e6i −0.280703 0.715221i
\(413\) −27096.7 + 18474.2i −0.00781702 + 0.00532956i
\(414\) −411380. 198110.i −0.117962 0.0568076i
\(415\) 3.74005e6 + 3.47026e6i 1.06600 + 0.989103i
\(416\) 6.51225e6 981564.i 1.84501 0.278090i
\(417\) −190771. + 2.54566e6i −0.0537245 + 0.716904i
\(418\) 13734.3 34994.4i 0.00384473 0.00979621i
\(419\) 581785. + 2.54896e6i 0.161893 + 0.709298i 0.989081 + 0.147373i \(0.0470818\pi\)
−0.827188 + 0.561925i \(0.810061\pi\)
\(420\) −7704.06 102804.i −0.00213106 0.0284371i
\(421\) −3.30122e6 1.01829e6i −0.907756 0.280006i −0.194494 0.980904i \(-0.562307\pi\)
−0.713261 + 0.700898i \(0.752783\pi\)
\(422\) −2.49043e6 + 1.19933e6i −0.680760 + 0.327837i
\(423\) −1.32128e6 + 2.28852e6i −0.359041 + 0.621876i
\(424\) 501893. + 869305.i 0.135580 + 0.234832i
\(425\) 1.32426e6 + 902867.i 0.355633 + 0.242466i
\(426\) 276491. 1.21138e6i 0.0738170 0.323413i
\(427\) −17101.6 2577.66i −0.00453908 0.000684157i
\(428\) −2.72043e6 3.41131e6i −0.717840 0.900143i
\(429\) 1.33893e7 3.51250
\(430\) −2.50873e6 837453.i −0.654309 0.218418i
\(431\) 2.67649e6 0.694021 0.347011 0.937861i \(-0.387197\pi\)
0.347011 + 0.937861i \(0.387197\pi\)
\(432\) 38992.1 + 48894.6i 0.0100524 + 0.0126052i
\(433\) −258796. 39007.2i −0.0663342 0.00999827i 0.115791 0.993274i \(-0.463060\pi\)
−0.182126 + 0.983275i \(0.558298\pi\)
\(434\) 13279.9 58183.0i 0.00338431 0.0148276i
\(435\) −1.11586e7 7.60778e6i −2.82739 1.92768i
\(436\) −551966. 956033.i −0.139058 0.240856i
\(437\) 7847.38 13592.1i 0.00196572 0.00340472i
\(438\) 3.75473e6 1.80818e6i 0.935176 0.450357i
\(439\) −717461. 221307.i −0.177679 0.0548068i 0.204639 0.978838i \(-0.434398\pi\)
−0.382318 + 0.924031i \(0.624874\pi\)
\(440\) −506000. 6.75210e6i −0.124600 1.66267i
\(441\) 871174. + 3.81686e6i 0.213309 + 0.934566i
\(442\) −735789. + 1.87476e6i −0.179142 + 0.456446i
\(443\) −198934. + 2.65459e6i −0.0481614 + 0.642670i 0.919932 + 0.392079i \(0.128244\pi\)
−0.968093 + 0.250591i \(0.919375\pi\)
\(444\) −2.49406e6 + 375919.i −0.600411 + 0.0904975i
\(445\) 3.77231e6 + 3.50019e6i 0.903040 + 0.837899i
\(446\) −334761. 161212.i −0.0796889 0.0383762i
\(447\) 4.90799e6 3.34621e6i 1.16181 0.792109i
\(448\) −7939.47 20229.4i −0.00186894 0.00476199i
\(449\) 4.25660e6 1.31299e6i 0.996429 0.307358i 0.246692 0.969094i \(-0.420656\pi\)
0.749737 + 0.661736i \(0.230180\pi\)
\(450\) 1.25597e6 1.16537e6i 0.292379 0.271288i
\(451\) 354184. 444133.i 0.0819950 0.102819i
\(452\) 2.11974e6 2.65806e6i 0.488018 0.611955i
\(453\) 3.65779e6 3.39393e6i 0.837478 0.777066i
\(454\) 3.31833e6 1.02357e6i 0.755578 0.233065i
\(455\) −80413.8 204891.i −0.0182097 0.0463975i
\(456\) −67478.9 + 46006.4i −0.0151969 + 0.0103611i
\(457\) −5.01942e6 2.41723e6i −1.12425 0.541411i −0.223048 0.974808i \(-0.571601\pi\)
−0.901203 + 0.433397i \(0.857315\pi\)
\(458\) 1.95481e6 + 1.81380e6i 0.435453 + 0.404041i
\(459\) −135839. + 20474.4i −0.0300948 + 0.00453606i
\(460\) 89655.3 1.19637e6i 0.0197552 0.263615i
\(461\) 2.34740e6 5.98108e6i 0.514440 1.31077i −0.403836 0.914831i \(-0.632323\pi\)
0.918276 0.395940i \(-0.129581\pi\)
\(462\) −20918.0 91647.7i −0.00455948 0.0199764i
\(463\) −191939. 2.56125e6i −0.0416113 0.555264i −0.978582 0.205857i \(-0.934002\pi\)
0.936971 0.349408i \(-0.113617\pi\)
\(464\) 2.26195e6 + 697718.i 0.487739 + 0.150447i
\(465\) −1.14385e7 + 5.50847e6i −2.45321 + 1.18141i
\(466\) −820179. + 1.42059e6i −0.174962 + 0.303043i
\(467\) 2.12587e6 + 3.68211e6i 0.451070 + 0.781277i 0.998453 0.0556057i \(-0.0177090\pi\)
−0.547382 + 0.836883i \(0.684376\pi\)
\(468\) −4.99325e6 3.40434e6i −1.05383 0.718486i
\(469\) −40733.0 + 178463.i −0.00855096 + 0.0374642i
\(470\) 2.44593e6 + 368665.i 0.510740 + 0.0769816i
\(471\) 3.27851e6 + 4.11113e6i 0.680965 + 0.853903i
\(472\) 1.98598e6 0.410318
\(473\) 6.66913e6 + 1.16255e6i 1.37062 + 0.238924i
\(474\) −1.39973e6 −0.286152
\(475\) 36719.2 + 46044.4i 0.00746722 + 0.00936360i
\(476\) −39247.8 5915.66i −0.00793959 0.00119670i
\(477\) 322943. 1.41491e6i 0.0649875 0.284729i
\(478\) −1.82980e6 1.24754e6i −0.366298 0.249738i
\(479\) 2.22009e6 + 3.84531e6i 0.442111 + 0.765759i 0.997846 0.0656006i \(-0.0208963\pi\)
−0.555735 + 0.831360i \(0.687563\pi\)
\(480\) −4.91817e6 + 8.51852e6i −0.974317 + 1.68757i
\(481\) −4.85179e6 + 2.33650e6i −0.956179 + 0.460472i
\(482\) −1.45589e6 449084.i −0.285438 0.0880460i
\(483\) −2932.86 39136.3i −0.000572036 0.00763328i
\(484\) 791175. + 3.46636e6i 0.153518 + 0.672606i
\(485\) 1.74275e6 4.44045e6i 0.336419 0.857181i
\(486\) −278663. + 3.71850e6i −0.0535166 + 0.714130i
\(487\) −9.66171e6 + 1.45627e6i −1.84600 + 0.278240i −0.976472 0.215644i \(-0.930815\pi\)
−0.869528 + 0.493884i \(0.835577\pi\)
\(488\) 767742. + 712360.i 0.145937 + 0.135410i
\(489\) 1.22971e7 + 5.92198e6i 2.32558 + 1.11994i
\(490\) 3.02787e6 2.06437e6i 0.569701 0.388416i
\(491\) −1.52370e6 3.88232e6i −0.285230 0.726754i −0.999635 0.0270216i \(-0.991398\pi\)
0.714405 0.699733i \(-0.246698\pi\)
\(492\) −500492. + 154381.i −0.0932147 + 0.0287529i
\(493\) −3.81159e6 + 3.53664e6i −0.706300 + 0.655351i
\(494\) −46140.2 + 57857.9i −0.00850671 + 0.0106671i
\(495\) −6.10377e6 + 7.65388e6i −1.11966 + 1.40401i
\(496\) 1.63120e6 1.51354e6i 0.297717 0.276241i
\(497\) 49959.7 15410.5i 0.00907254 0.00279851i
\(498\) −1.56711e6 3.99293e6i −0.283156 0.721470i
\(499\) 1.54478e6 1.05321e6i 0.277725 0.189350i −0.416445 0.909161i \(-0.636724\pi\)
0.694170 + 0.719811i \(0.255772\pi\)
\(500\) −942194. 453737.i −0.168545 0.0811669i
\(501\) 570508. + 529354.i 0.101547 + 0.0942219i
\(502\) 4.85136e6 731225.i 0.859220 0.129507i
\(503\) −528039. + 7.04619e6i −0.0930563 + 1.24175i 0.733811 + 0.679354i \(0.237740\pi\)
−0.826867 + 0.562397i \(0.809879\pi\)
\(504\) −36524.7 + 93063.5i −0.00640487 + 0.0163194i
\(505\) −1.84827e6 8.09780e6i −0.322505 1.41299i
\(506\) −81752.5 1.09091e6i −0.0141946 0.189414i
\(507\) −1.74452e7 5.38114e6i −3.01409 0.929725i
\(508\) −3.54340e6 + 1.70641e6i −0.609201 + 0.293376i
\(509\) 828787. 1.43550e6i 0.141791 0.245589i −0.786380 0.617743i \(-0.788047\pi\)
0.928171 + 0.372154i \(0.121381\pi\)
\(510\) −1.50400e6 2.60501e6i −0.256049 0.443490i
\(511\) 144884. + 98780.5i 0.0245453 + 0.0167347i
\(512\) 713865. 3.12764e6i 0.120349 0.527281i
\(513\) −4991.35 752.326i −0.000837385 0.000126215i
\(514\) −1.49542e6 1.87520e6i −0.249664 0.313069i
\(515\) 8.44159e6 1.40251
\(516\) −4.47671e6 4.34947e6i −0.740176 0.719138i
\(517\) −6.33135e6 −1.04176
\(518\) 23572.8 + 29559.4i 0.00386000 + 0.00484028i
\(519\) −1.35023e7 2.03514e6i −2.20034 0.331647i
\(520\) −2.96597e6 + 1.29948e7i −0.481015 + 2.10747i
\(521\) 2.25178e6 + 1.53523e6i 0.363438 + 0.247788i 0.731246 0.682114i \(-0.238939\pi\)
−0.367808 + 0.929902i \(0.619891\pi\)
\(522\) 2.77918e6 + 4.81368e6i 0.446416 + 0.773216i
\(523\) 3.75385e6 6.50185e6i 0.600098 1.03940i −0.392708 0.919663i \(-0.628462\pi\)
0.992806 0.119737i \(-0.0382051\pi\)
\(524\) −2.66259e6 + 1.28224e6i −0.423620 + 0.204005i
\(525\) 140724. + 43407.6i 0.0222828 + 0.00687334i
\(526\) −4860.74 64862.0i −0.000766016 0.0102218i
\(527\) 1.08767e6 + 4.76540e6i 0.170597 + 0.747435i
\(528\) 1.28055e6 3.26280e6i 0.199900 0.509337i
\(529\) −446858. + 5.96290e6i −0.0694273 + 0.926442i
\(530\) −1.34331e6 + 202471.i −0.207723 + 0.0313092i
\(531\) −2.10486e6 1.95303e6i −0.323957 0.300588i
\(532\) −1314.01 632.793i −0.000201289 9.69355e-5i
\(533\) −923946. + 629936.i −0.140873 + 0.0960458i
\(534\) −1.58063e6 4.02737e6i −0.239870 0.611179i
\(535\) 1.32955e7 4.10111e6i 2.00826 0.619465i
\(536\) 8.12597e6 7.53980e6i 1.22170 1.13357i
\(537\) 3.09106e6 3.87607e6i 0.462565 0.580038i
\(538\) −1.56916e6 + 1.96767e6i −0.233729 + 0.293087i
\(539\) −6.87607e6 + 6.38006e6i −1.01946 + 0.945917i
\(540\) −368711. + 113732.i −0.0544129 + 0.0167842i
\(541\) −1.92626e6 4.90804e6i −0.282958 0.720966i −0.999720 0.0236479i \(-0.992472\pi\)
0.716762 0.697318i \(-0.245623\pi\)
\(542\) −343334. + 234081.i −0.0502017 + 0.0342269i
\(543\) 5.60873e6 + 2.70102e6i 0.816329 + 0.393123i
\(544\) 2.77612e6 + 2.57586e6i 0.402198 + 0.373186i
\(545\) 3.48094e6 524667.i 0.502002 0.0756646i
\(546\) −13828.8 + 184533.i −0.00198520 + 0.0264907i
\(547\) −2.18935e6 + 5.57838e6i −0.312858 + 0.797149i 0.684799 + 0.728732i \(0.259890\pi\)
−0.997657 + 0.0684172i \(0.978205\pi\)
\(548\) 1.93501e6 + 8.47781e6i 0.275252 + 1.20596i
\(549\) −113159. 1.51000e6i −0.0160235 0.213819i
\(550\) 3.92264e6 + 1.20997e6i 0.552932 + 0.170557i
\(551\) −172138. + 82897.3i −0.0241545 + 0.0116322i
\(552\) −1.18831e6 + 2.05821e6i −0.165990 + 0.287503i
\(553\) −29448.2 51005.9i −0.00409493 0.00709263i
\(554\) −883066. 602064.i −0.122242 0.0833429i
\(555\) 1.78973e6 7.84132e6i 0.246635 1.08058i
\(556\) 2.72979e6 + 411450.i 0.374492 + 0.0564456i
\(557\) −8.45754e6 1.06054e7i −1.15506 1.44840i −0.872136 0.489263i \(-0.837266\pi\)
−0.282927 0.959141i \(-0.591306\pi\)
\(558\) 5.22518e6 0.710421
\(559\) −1.18706e7 6.05650e6i −1.60673 0.819771i
\(560\) −57619.8 −0.00776429
\(561\) 4.80045e6 + 6.01958e6i 0.643984 + 0.807530i
\(562\) 3.49656e6 + 527022.i 0.466982 + 0.0703862i
\(563\) 44148.3 193427.i 0.00587007 0.0257185i −0.971908 0.235361i \(-0.924373\pi\)
0.977778 + 0.209642i \(0.0672300\pi\)
\(564\) 4.82320e6 + 3.28840e6i 0.638466 + 0.435298i
\(565\) 5.42069e6 + 9.38891e6i 0.714387 + 1.23735i
\(566\) 963863. 1.66946e6i 0.126466 0.219046i
\(567\) −147170. + 70873.2i −0.0192247 + 0.00925815i
\(568\) −3.02541e6 933216.i −0.393472 0.121370i
\(569\) 657374. + 8.77205e6i 0.0851201 + 1.13585i 0.862241 + 0.506498i \(0.169060\pi\)
−0.777121 + 0.629351i \(0.783321\pi\)
\(570\) −24594.9 107757.i −0.00317072 0.0138918i
\(571\) 3.51463e6 8.95512e6i 0.451117 1.14943i −0.506719 0.862111i \(-0.669142\pi\)
0.957836 0.287315i \(-0.0927628\pi\)
\(572\) 1.08204e6 1.44389e7i 0.138279 1.84520i
\(573\) 3.83458e6 577970.i 0.487901 0.0735392i
\(574\) 5755.27 + 5340.11i 0.000729098 + 0.000676504i
\(575\) 1.54408e6 + 743592.i 0.194761 + 0.0937918i
\(576\) 1.57209e6 1.07183e6i 0.197433 0.134608i
\(577\) 162774. + 414741.i 0.0203538 + 0.0518605i 0.940689 0.339269i \(-0.110180\pi\)
−0.920336 + 0.391130i \(0.872084\pi\)
\(578\) 2.82694e6 871995.i 0.351963 0.108566i
\(579\) 4.37826e6 4.06243e6i 0.542757 0.503605i
\(580\) −9.10589e6 + 1.14184e7i −1.12396 + 1.40941i
\(581\) 112532. 141111.i 0.0138305 0.0173429i
\(582\) −2.93988e6 + 2.72781e6i −0.359767 + 0.333815i
\(583\) 3.32269e6 1.02492e6i 0.404873 0.124887i
\(584\) −3.87953e6 9.88487e6i −0.470703 1.19933i
\(585\) 1.59227e7 1.08559e7i 1.92365 1.31152i
\(586\) −4.97801e6 2.39729e6i −0.598842 0.288387i
\(587\) 1.63982e6 + 1.52153e6i 0.196427 + 0.182257i 0.772254 0.635314i \(-0.219129\pi\)
−0.575827 + 0.817572i \(0.695320\pi\)
\(588\) 8.55187e6 1.28899e6i 1.02004 0.153747i
\(589\) −13422.0 + 179104.i −0.00159415 + 0.0212725i
\(590\) −981941. + 2.50194e6i −0.116133 + 0.295902i
\(591\) 4.01151e6 + 1.75756e7i 0.472432 + 2.06986i
\(592\) 105348. + 1.40578e6i 0.0123544 + 0.164859i
\(593\) −9.62284e6 2.96825e6i −1.12374 0.346629i −0.323454 0.946244i \(-0.604844\pi\)
−0.800288 + 0.599615i \(0.795320\pi\)
\(594\) −316998. + 152658.i −0.0368630 + 0.0177523i
\(595\) 63284.2 109612.i 0.00732830 0.0126930i
\(596\) −3.21188e6 5.56313e6i −0.370376 0.641511i
\(597\) 1.03181e7 + 7.03478e6i 1.18485 + 0.807820i
\(598\) −479201. + 2.09952e6i −0.0547980 + 0.240086i
\(599\) −2.11868e6 319339.i −0.241267 0.0363651i 0.0272957 0.999627i \(-0.491310\pi\)
−0.268562 + 0.963262i \(0.586549\pi\)
\(600\) −5.56030e6 6.97240e6i −0.630551 0.790686i
\(601\) 2.04377e6 0.230805 0.115403 0.993319i \(-0.463184\pi\)
0.115403 + 0.993319i \(0.463184\pi\)
\(602\) −22910.5 + 90713.9i −0.00257658 + 0.0102019i
\(603\) −1.60271e7 −1.79498
\(604\) −3.36437e6 4.21879e6i −0.375242 0.470539i
\(605\) −1.12113e7 1.68983e6i −1.24528 0.187696i
\(606\) −1.55390e6 + 6.80809e6i −0.171887 + 0.753085i
\(607\) −487228. 332186.i −0.0536736 0.0365940i 0.536186 0.844100i \(-0.319865\pi\)
−0.589860 + 0.807506i \(0.700817\pi\)
\(608\) 69577.4 + 120512.i 0.00763324 + 0.0132212i
\(609\) −238879. + 413750.i −0.0260996 + 0.0452059i
\(610\) −1.27703e6 + 614986.i −0.138956 + 0.0669176i
\(611\) 1.19097e7 + 3.67366e6i 1.29062 + 0.398103i
\(612\) −259697. 3.46542e6i −0.0280278 0.374005i
\(613\) 2.75690e6 + 1.20788e7i 0.296326 + 1.29829i 0.875552 + 0.483124i \(0.160498\pi\)
−0.579226 + 0.815167i \(0.696645\pi\)
\(614\) 3.04504e6 7.75863e6i 0.325966 0.830547i
\(615\) 124813. 1.66552e6i 0.0133068 0.177567i
\(616\) −236855. + 35700.1i −0.0251496 + 0.00379069i
\(617\) 7.47219e6 + 6.93318e6i 0.790197 + 0.733195i 0.968022 0.250867i \(-0.0807156\pi\)
−0.177825 + 0.984062i \(0.556906\pi\)
\(618\) −6.39430e6 3.07933e6i −0.673475 0.324329i
\(619\) −7.64339e6 + 5.21117e6i −0.801788 + 0.546650i −0.893462 0.449140i \(-0.851731\pi\)
0.0916740 + 0.995789i \(0.470778\pi\)
\(620\) 5.01588e6 + 1.27802e7i 0.524044 + 1.33524i
\(621\) −140365. + 43296.7i −0.0146059 + 0.00450533i
\(622\) 3.26151e6 3.02624e6i 0.338020 0.313637i
\(623\) 113503. 142328.i 0.0117162 0.0146916i
\(624\) −4.30199e6 + 5.39453e6i −0.442291 + 0.554616i
\(625\) 8.25379e6 7.65840e6i 0.845188 0.784220i
\(626\) −298021. + 91927.3i −0.0303956 + 0.00937581i
\(627\) 103359. + 263353.i 0.0104997 + 0.0267528i
\(628\) 4.69833e6 3.20327e6i 0.475384 0.324111i
\(629\) −2.78994e6 1.34357e6i −0.281170 0.135404i
\(630\) −99182.4 92027.8i −0.00995596 0.00923778i
\(631\) −1.71820e7 + 2.58977e6i −1.71791 + 0.258933i −0.932792 0.360414i \(-0.882635\pi\)
−0.785117 + 0.619348i \(0.787397\pi\)
\(632\) −266532. + 3.55662e6i −0.0265434 + 0.354197i
\(633\) 7.59982e6 1.93640e7i 0.753866 1.92082i
\(634\) 852778. + 3.73627e6i 0.0842584 + 0.369160i
\(635\) −937212. 1.25062e7i −0.0922366 1.23081i
\(636\) −3.06354e6 944978.i −0.300318 0.0926358i
\(637\) 1.66363e7 8.01162e6i 1.62446 0.782297i
\(638\) −6.65868e6 + 1.15332e7i −0.647644 + 1.12175i
\(639\) 2.28878e6 + 3.96428e6i 0.221744 + 0.384072i
\(640\) 1.04482e7 + 7.12349e6i 1.00831 + 0.687452i
\(641\) −758335. + 3.32248e6i −0.0728981 + 0.319387i −0.998209 0.0598217i \(-0.980947\pi\)
0.925311 + 0.379209i \(0.123804\pi\)
\(642\) −1.15670e7 1.74344e6i −1.10760 0.166944i
\(643\) −5.14070e6 6.44624e6i −0.490337 0.614864i 0.473682 0.880696i \(-0.342925\pi\)
−0.964019 + 0.265832i \(0.914353\pi\)
\(644\) −42441.0 −0.00403247
\(645\) 1.81264e7 8.22150e6i 1.71559 0.778129i
\(646\) −42554.3 −0.00401201
\(647\) 34564.6 + 43342.7i 0.00324617 + 0.00407057i 0.783452 0.621452i \(-0.213457\pi\)
−0.780206 + 0.625523i \(0.784886\pi\)
\(648\) 9.78126e6 + 1.47429e6i 0.915077 + 0.137926i
\(649\) 1.53085e6 6.70708e6i 0.142666 0.625060i
\(650\) −6.67670e6 4.55210e6i −0.619838 0.422599i
\(651\) 224560. + 388950.i 0.0207673 + 0.0359701i
\(652\) 7.37997e6 1.27825e7i 0.679885 1.17760i
\(653\) 5.40989e6 2.60527e6i 0.496484 0.239094i −0.168847 0.985642i \(-0.554004\pi\)
0.665332 + 0.746548i \(0.268290\pi\)
\(654\) −2.82811e6 872357.i −0.258555 0.0797535i
\(655\) −704243. 9.39747e6i −0.0641385 0.855869i
\(656\) 65140.6 + 285400.i 0.00591006 + 0.0258937i
\(657\) −5.60909e6 + 1.42917e7i −0.506966 + 1.29173i
\(658\) 6539.17 87259.2i 0.000588787 0.00785682i
\(659\) −6.75029e6 + 1.01744e6i −0.605493 + 0.0912633i −0.444631 0.895714i \(-0.646665\pi\)
−0.160861 + 0.986977i \(0.551427\pi\)
\(660\) 1.58529e7 + 1.47093e7i 1.41661 + 1.31442i
\(661\) −1.16122e7 5.59215e6i −1.03374 0.497823i −0.161486 0.986875i \(-0.551629\pi\)
−0.872255 + 0.489051i \(0.837343\pi\)
\(662\) −859874. + 586252.i −0.0762587 + 0.0519923i
\(663\) −5.53723e6 1.41086e7i −0.489225 1.24653i
\(664\) −1.04442e7 + 3.22161e6i −0.919297 + 0.283566i
\(665\) 3409.22 3163.30i 0.000298952 0.000277387i
\(666\) −2.06390e6 + 2.58805e6i −0.180303 + 0.226093i
\(667\) −3.46652e6 + 4.34688e6i −0.301703 + 0.378323i
\(668\) 616953. 572449.i 0.0534947 0.0496358i
\(669\) 2.67195e6 824188.i 0.230815 0.0711969i
\(670\) 5.48088e6 + 1.39651e7i 0.471697 + 1.20186i
\(671\) 2.99758e6 2.04372e6i 0.257019 0.175232i
\(672\) 313508. + 150977.i 0.0267809 + 0.0128970i
\(673\) −1.27943e7 1.18713e7i −1.08887 1.01033i −0.999898 0.0142931i \(-0.995450\pi\)
−0.0889756 0.996034i \(-0.528359\pi\)
\(674\) 3.44632e6 519450.i 0.292218 0.0440447i
\(675\) 41190.6 549651.i 0.00347968 0.0464331i
\(676\) −7.21276e6 + 1.83778e7i −0.607065 + 1.54678i
\(677\) 1.90789e6 + 8.35902e6i 0.159986 + 0.700945i 0.989748 + 0.142827i \(0.0456192\pi\)
−0.829762 + 0.558118i \(0.811524\pi\)
\(678\) −681143. 9.08923e6i −0.0569068 0.759369i
\(679\) −161252. 49739.7i −0.0134224 0.00414027i
\(680\) −6.90558e6 + 3.32555e6i −0.572701 + 0.275798i
\(681\) −1.30667e7 + 2.26321e7i −1.07969 + 1.87007i
\(682\) 6.25955e6 + 1.08419e7i 0.515326 + 0.892571i
\(683\) 4.08759e6 + 2.78687e6i 0.335286 + 0.228594i 0.719246 0.694756i \(-0.244487\pi\)
−0.383960 + 0.923350i \(0.625440\pi\)
\(684\) 28414.3 124491.i 0.00232219 0.0101742i
\(685\) −2.74199e7 4.13288e6i −2.23275 0.336532i
\(686\) −161692. 202755.i −0.0131183 0.0164498i
\(687\) −2.00683e7 −1.62225
\(688\) −2.61118e6 + 2.31345e6i −0.210313 + 0.186333i
\(689\) −6.84492e6 −0.549313
\(690\) −2.00540e6 2.51469e6i −0.160353 0.201077i
\(691\) −1.65116e7 2.48872e6i −1.31551 0.198281i −0.546467 0.837481i \(-0.684028\pi\)
−0.769041 + 0.639200i \(0.779266\pi\)
\(692\) −3.28584e6 + 1.43962e7i −0.260844 + 1.14283i
\(693\) 286141. + 195087.i 0.0226332 + 0.0154311i
\(694\) −2.75131e6 4.76541e6i −0.216841 0.375579i
\(695\) −4.40159e6 + 7.62378e6i −0.345659 + 0.598699i
\(696\) 2.60665e7 1.25529e7i 2.03967 0.982251i
\(697\) −614467. 189538.i −0.0479089 0.0147779i
\(698\) 232773. + 3.10613e6i 0.0180840 + 0.241314i
\(699\) −2.74694e6 1.20351e7i −0.212645 0.931661i
\(700\) 58182.6 148247.i 0.00448795 0.0114351i
\(701\) −1.45021e6 + 1.93517e7i −0.111464 + 1.48739i 0.608599 + 0.793478i \(0.291732\pi\)
−0.720063 + 0.693909i \(0.755887\pi\)
\(702\) 684874. 103228.i 0.0524527 0.00790598i
\(703\) −83409.5 77392.7i −0.00636542 0.00590625i
\(704\) 4.10726e6 + 1.97795e6i 0.312335 + 0.150413i
\(705\) −1.53804e7 + 1.04862e7i −1.16545 + 0.794592i
\(706\) 624763. + 1.59187e6i 0.0471741 + 0.120198i
\(707\) −280778. + 86608.6i −0.0211259 + 0.00651647i
\(708\) −4.64974e6 + 4.31433e6i −0.348615 + 0.323467i
\(709\) 1.46842e7 1.84134e7i 1.09707 1.37568i 0.176869 0.984234i \(-0.443403\pi\)
0.920201 0.391447i \(-0.128025\pi\)
\(710\) 2.67154e6 3.35000e6i 0.198891 0.249402i
\(711\) 3.78009e6 3.50741e6i 0.280432 0.260203i
\(712\) −1.05343e7 + 3.24940e6i −0.778764 + 0.240217i
\(713\) 1.90949e6 + 4.86531e6i 0.140668 + 0.358415i
\(714\) −87920.4 + 59943.1i −0.00645423 + 0.00440042i
\(715\) 4.15998e7 + 2.00334e7i 3.04317 + 1.46551i
\(716\) −3.93010e6 3.64660e6i −0.286498 0.265831i
\(717\) 1.64801e7 2.48398e6i 1.19719 0.180447i
\(718\) −616310. + 8.22408e6i −0.0446157 + 0.595355i
\(719\) 3.04235e6 7.75179e6i 0.219476 0.559216i −0.778150 0.628078i \(-0.783842\pi\)
0.997626 + 0.0688623i \(0.0219369\pi\)
\(720\) −1.12259e6 4.91838e6i −0.0807030 0.353583i
\(721\) −22316.5 297792.i −0.00159877 0.0213342i
\(722\) 6.85833e6 + 2.11551e6i 0.489638 + 0.151033i
\(723\) 1.03304e7 4.97484e6i 0.734970 0.353943i
\(724\) 3.36601e6 5.83010e6i 0.238654 0.413361i
\(725\) −1.04314e7 1.80678e7i −0.737053 1.27661i
\(726\) 7.87586e6 + 5.36967e6i 0.554570 + 0.378099i
\(727\) 592523. 2.59601e6i 0.0415785 0.182167i −0.949875 0.312631i \(-0.898790\pi\)
0.991453 + 0.130464i \(0.0416467\pi\)
\(728\) 466255. + 70276.7i 0.0326058 + 0.00491454i
\(729\) −8.19845e6 1.02805e7i −0.571364 0.716468i
\(730\) 1.43712e7 0.998124
\(731\) −1.53305e6 7.50819e6i −0.106111 0.519687i
\(732\) −3.34502e6 −0.230739
\(733\) 5.73540e6 + 7.19196e6i 0.394279 + 0.494410i 0.938861 0.344298i \(-0.111883\pi\)
−0.544582 + 0.838708i \(0.683312\pi\)
\(734\) −1.33131e7 2.00662e6i −0.912091 0.137476i
\(735\) −6.13680e6 + 2.68871e7i −0.419009 + 1.83580i
\(736\) 3.34581e6 + 2.28113e6i 0.227670 + 0.155223i
\(737\) −1.91998e7 3.32550e7i −1.30205 2.25521i
\(738\) −343700. + 595305.i −0.0232294 + 0.0402345i
\(739\) 1.23078e7 5.92714e6i 0.829031 0.399240i 0.0292793 0.999571i \(-0.490679\pi\)
0.799752 + 0.600331i \(0.204964\pi\)
\(740\) −8.31133e6 2.56371e6i −0.557945 0.172103i
\(741\) −41618.4 555358.i −0.00278445 0.0371559i
\(742\) 10693.7 + 46852.2i 0.000713048 + 0.00312407i
\(743\) −330006. + 840842.i −0.0219306 + 0.0558782i −0.941420 0.337237i \(-0.890508\pi\)
0.919489 + 0.393116i \(0.128603\pi\)
\(744\) 2.03247e6 2.71214e7i 0.134614 1.79630i
\(745\) 2.02555e7 3.05303e6i 1.33706 0.201530i
\(746\) −1.14426e6 1.06172e6i −0.0752797 0.0698493i
\(747\) 1.42376e7 + 6.85645e6i 0.933542 + 0.449570i
\(748\) 6.87937e6 4.69028e6i 0.449567 0.306510i
\(749\) −179822. 458180.i −0.0117122 0.0298422i
\(750\) −2.67908e6 + 826386.i −0.173913 + 0.0536450i
\(751\) 7.96180e6 7.38747e6i 0.515123 0.477965i −0.379245 0.925296i \(-0.623816\pi\)
0.894368 + 0.447332i \(0.147626\pi\)
\(752\) 2.03426e6 2.55088e6i 0.131178 0.164492i
\(753\) −2.30203e7 + 2.88665e7i −1.47953 + 1.85527i
\(754\) 1.92174e7 1.78311e7i 1.23102 1.14222i
\(755\) 1.64426e7