Properties

Label 43.6.g.a.24.7
Level 43
Weight 6
Character 43.24
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 24.7
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.7

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80763 + 2.26670i −0.319548 + 0.400700i −0.915499 0.402321i \(-0.868204\pi\)
0.595951 + 0.803021i \(0.296775\pi\)
\(3\) 21.5746 3.25185i 1.38401 0.208606i 0.585542 0.810642i \(-0.300882\pi\)
0.798469 + 0.602036i \(0.205644\pi\)
\(4\) 5.25028 + 23.0030i 0.164071 + 0.718843i
\(5\) 62.1654 42.3837i 1.11205 0.758182i 0.139348 0.990243i \(-0.455499\pi\)
0.972701 + 0.232061i \(0.0745470\pi\)
\(6\) −31.6280 + 54.7813i −0.358669 + 0.621233i
\(7\) 1.33082 + 2.30504i 0.0102653 + 0.0177801i 0.871112 0.491084i \(-0.163399\pi\)
−0.860847 + 0.508864i \(0.830066\pi\)
\(8\) −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 −0.545580 0.838058i \(-0.683691\pi\)
0.855171 0.518346i \(-0.173452\pi\)
\(12\) 188.075 + 479.207i 0.377031 + 0.960660i
\(13\) 82.1364 + 1096.03i 0.134796 + 1.79873i 0.498165 + 0.867082i \(0.334007\pi\)
−0.363369 + 0.931645i \(0.618373\pi\)
\(14\) −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 0.762271 0.647258i \(-0.224084\pi\)
−0.324026 + 0.946048i \(0.605037\pi\)
\(18\) −246.835 + 628.925i −0.179566 + 0.457528i
\(19\) 22.1918 + 6.84526i 0.0141029 + 0.00435017i 0.301799 0.953372i \(-0.402413\pi\)
−0.287696 + 0.957722i \(0.592889\pi\)
\(20\) 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 0.771749 0.635927i \(-0.219382\pi\)
−0.576476 + 0.817114i \(0.695573\pi\)
\(24\) −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 −0.835764 0.549088i \(-0.814975\pi\)
−0.960480 + 0.278348i \(0.910213\pi\)
\(30\) 355.665 + 4746.02i 0.0721502 + 0.962778i
\(31\) −2825.48 7199.20i −0.528066 1.34549i −0.907415 0.420236i \(-0.861947\pi\)
0.379349 0.925254i \(-0.376148\pi\)
\(32\) 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 −0.974795 0.223104i \(-0.928381\pi\)
0.680611 + 0.732645i \(0.261714\pi\)
\(38\) −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 −0.810425 0.585842i \(-0.800764\pi\)
0.751490 + 0.659744i \(0.229335\pi\)
\(42\) −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 −0.987333 0.158665i \(-0.949281\pi\)
0.820714 0.571340i \(-0.193576\pi\)
\(48\) −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 0.974197 + 0.225701i \(0.0724672\pi\)
−0.996955 + 0.0779835i \(0.975152\pi\)
\(54\) 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 −0.629802 0.776756i \(-0.716864\pi\)
0.214617 + 0.976698i \(0.431150\pi\)
\(60\) 32002.3 + 21818.8i 1.14763 + 0.782443i
\(61\) −2373.92 + 6048.64i −0.0816848 + 0.208129i −0.965881 0.258986i \(-0.916612\pi\)
0.884196 + 0.467116i \(0.154707\pi\)
\(62\) 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 −0.790417 0.612569i \(-0.790136\pi\)
−0.998146 + 0.0608708i \(0.980612\pi\)
\(68\) −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 −0.492242 0.870458i \(-0.663822\pi\)
0.831239 + 0.555915i \(0.187632\pi\)
\(72\) −37141.7 5598.21i −0.844366 0.127268i
\(73\) −4923.37 65697.8i −0.108132 1.44293i −0.742475 0.669874i \(-0.766348\pi\)
0.634343 0.773052i \(-0.281271\pi\)
\(74\) −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 0.948352 0.317221i \(-0.102750\pi\)
−0.748897 + 0.662686i \(0.769416\pi\)
\(80\) −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 0.408768 0.912638i \(-0.365959\pi\)
0.659612 + 0.751606i \(0.270720\pi\)
\(84\) −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 0.320009 0.947414i \(-0.396314\pi\)
0.585047 + 0.810999i \(0.301076\pi\)
\(90\) 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 0.839989 + 0.542604i \(0.182561\pi\)
−0.992231 + 0.124412i \(0.960296\pi\)
\(98\) 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 −0.967854 0.251512i \(-0.919072\pi\)
0.178481 + 0.983943i \(0.442882\pi\)
\(102\) −36020.1 + 17346.4i −0.342803 + 0.165085i
\(103\) 92701.5 + 63202.8i 0.860981 + 0.587007i 0.911308 0.411726i \(-0.135074\pi\)
−0.0503268 + 0.998733i \(0.516026\pi\)
\(104\) 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 0.975315 + 0.220817i \(0.0708725\pi\)
−0.00174703 + 0.999998i \(0.500556\pi\)
\(108\) −3197.48 4009.52i −0.0263784 0.0330775i
\(109\) 34297.8 + 31823.7i 0.276503 + 0.256557i 0.806218 0.591618i \(-0.201511\pi\)
−0.529715 + 0.848175i \(0.677701\pi\)
\(110\) 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 0.110496 0.993877i \(-0.464756\pi\)
0.845937 + 0.533283i \(0.179042\pi\)
\(114\) −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 −0.980684 0.195599i \(-0.937335\pi\)
0.408917 + 0.912571i \(0.365906\pi\)
\(128\) 168071. 0.906711
\(129\) 137501. + 225998.i 0.727495 + 1.19572i
\(130\) −239753. −1.24425
\(131\) −78093.1 + 97925.7i −0.397589 + 0.498561i −0.939821 0.341668i \(-0.889008\pi\)
0.542232 + 0.840229i \(0.317580\pi\)
\(132\) 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 −0.519540 0.854446i \(-0.673897\pi\)
−0.991961 + 0.126545i \(0.959611\pi\)
\(138\) −40850.0 + 12600.5i −0.182597 + 0.0563237i
\(139\) 8743.63 116676.i 0.0383844 0.512204i −0.944565 0.328326i \(-0.893516\pi\)
0.982949 0.183879i \(-0.0588653\pi\)
\(140\) −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 0.956360 0.292190i \(-0.0943841\pi\)
−0.219905 + 0.975521i \(0.570575\pi\)
\(150\) 100015. + 125415.i 0.362943 + 0.455116i
\(151\) 142591. + 178804.i 0.508921 + 0.638167i 0.968216 0.250117i \(-0.0804692\pi\)
−0.459295 + 0.888284i \(0.651898\pi\)
\(152\) −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 −0.340255 0.940333i \(-0.610513\pi\)
0.912277 + 0.409575i \(0.134323\pi\)
\(158\) −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 0.767064 0.641571i \(-0.221717\pi\)
0.995188 + 0.0979884i \(0.0312408\pi\)
\(164\) −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 −0.521742 0.853103i \(-0.674718\pi\)
0.603517 + 0.797350i \(0.293765\pi\)
\(168\) −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 0.967572 0.252597i \(-0.0812847\pi\)
−0.702541 + 0.711643i \(0.747951\pi\)
\(180\) 372727. + 179496.i 0.857452 + 0.412927i
\(181\) 272645. 84099.9i 0.618588 0.190809i 0.0304059 0.999538i \(-0.490320\pi\)
0.588182 + 0.808729i \(0.299844\pi\)
\(182\) 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 0.458573 0.888657i \(-0.348361\pi\)
−0.121708 + 0.992566i \(0.538837\pi\)
\(192\) 130587. + 121167.i 0.255651 + 0.237209i
\(193\) 170677. + 214022.i 0.329824 + 0.413586i 0.918899 0.394492i \(-0.129079\pi\)
−0.589075 + 0.808078i \(0.700508\pi\)
\(194\) −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 −0.329603 0.944120i \(-0.606915\pi\)
0.883781 0.467902i \(-0.154990\pi\)
\(198\) 311682. + 212501.i 0.565001 + 0.385211i
\(199\) 515685. 248341.i 0.923106 0.444544i 0.0889270 0.996038i \(-0.471656\pi\)
0.834179 + 0.551494i \(0.185942\pi\)
\(200\) −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 0.822830 + 0.568288i \(0.192394\pi\)
−0.494773 + 0.869022i \(0.664749\pi\)
\(212\) −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 0.510009 0.860169i \(-0.329642\pi\)
−0.354522 + 0.935048i \(0.615357\pi\)
\(224\) 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 −0.874186 0.485591i \(-0.838605\pi\)
0.310538 0.950561i \(-0.399491\pi\)
\(228\) 893.421 + 11921.9i 0.00113820 + 0.0151882i
\(229\) −909517. 137088.i −1.14610 0.172747i −0.451587 0.892227i \(-0.649142\pi\)
−0.694513 + 0.719481i \(0.744380\pi\)
\(230\) −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 −0.999672 0.0256120i \(-0.991847\pi\)
0.750232 + 0.661175i \(0.229942\pi\)
\(234\) −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 0.679052 0.734090i \(-0.262391\pi\)
0.147531 + 0.989057i \(0.452867\pi\)
\(240\) −172561. + 439678.i −0.193381 + 0.492727i
\(241\) 434200. + 296033.i 0.481557 + 0.328320i 0.779649 0.626217i \(-0.215398\pi\)
−0.298092 + 0.954537i \(0.596350\pi\)
\(242\) 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 −0.883249 0.468905i \(-0.844649\pi\)
0.0355411 0.999368i \(-0.488685\pi\)
\(252\) −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 −0.555029 0.831831i \(-0.687293\pi\)
0.571554 + 0.820564i \(0.306341\pi\)
\(264\) −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 0.826010 + 0.563655i \(0.190605\pi\)
−0.988770 + 0.149443i \(0.952252\pi\)
\(270\) −17321.7 44135.0i −0.0144604 0.0368446i
\(271\) 10710.9 + 142927.i 0.00885935 + 0.118220i 0.999880 0.0154888i \(-0.00493043\pi\)
−0.991021 + 0.133709i \(0.957311\pi\)
\(272\) −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 0.429593 0.903023i \(-0.358657\pi\)
−0.153744 + 0.988111i \(0.549133\pi\)
\(278\) 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 0.265947 0.963988i \(-0.414315\pi\)
−0.941418 + 0.337242i \(0.890506\pi\)
\(282\) 685430. + 211427.i 0.513264 + 0.158321i
\(283\) 242920. 618949.i 0.180300 0.459398i −0.811939 0.583743i \(-0.801588\pi\)
0.992239 + 0.124345i \(0.0396830\pi\)
\(284\) 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 0.914522 0.404536i \(-0.132567\pi\)
0.253917 + 0.967226i \(0.418281\pi\)
\(294\) 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 0.00889158 0.999960i \(-0.497170\pi\)
0.861545 0.507681i \(-0.169497\pi\)
\(308\) 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 −0.856987 0.515338i \(-0.827666\pi\)
0.924222 0.381855i \(-0.124715\pi\)
\(312\) 860092. 3.76831e6i 0.500217 2.19159i
\(313\) 39300.7 + 100137.i 0.0226746 + 0.0577739i 0.941763 0.336278i \(-0.109168\pi\)
−0.919088 + 0.394052i \(0.871073\pi\)
\(314\) 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 −0.736019 0.676961i \(-0.763297\pi\)
0.0703691 + 0.997521i \(0.477582\pi\)
\(318\) −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 0.999882 + 0.0153643i \(0.00489079\pi\)
−0.986424 + 0.164217i \(0.947490\pi\)
\(332\) 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 0.685102 0.728447i \(-0.259758\pi\)
−0.973405 + 0.229092i \(0.926424\pi\)
\(338\) 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 0.283321 0.959025i \(-0.408564\pi\)
0.553412 + 0.832908i \(0.313326\pi\)
\(348\) −942413. 4.12898e6i −0.417151 1.82766i
\(349\) −887689. + 605216.i −0.390119 + 0.265979i −0.742456 0.669894i \(-0.766339\pi\)
0.352337 + 0.935873i \(0.385387\pi\)
\(350\) −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 −0.412781 0.910830i \(-0.635443\pi\)
0.172033 + 0.985091i \(0.444966\pi\)
\(354\) 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 −0.979855 0.199711i \(-0.936000\pi\)
0.125928 + 0.992039i \(0.459809\pi\)
\(360\) −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 0.956314 + 0.292341i \(0.0944341\pi\)
0.362989 + 0.931794i \(0.381756\pi\)
\(368\) −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 0.247359 0.968924i \(-0.420437\pi\)
−0.0492254 + 0.998788i \(0.515675\pi\)
\(374\) 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 0.565292 0.824891i \(-0.308764\pi\)
−0.292472 + 0.956274i \(0.594478\pi\)
\(380\) 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 0.974175 0.225794i \(-0.0724977\pi\)
−0.975670 + 0.219245i \(0.929641\pi\)
\(384\) 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 −0.546152 0.837686i \(-0.683908\pi\)
0.938214 + 0.346056i \(0.112479\pi\)
\(390\) −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 0.497698 + 0.867350i \(0.334179\pi\)
−0.621411 + 0.783485i \(0.713440\pi\)
\(398\) −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 0.327039 0.945011i \(-0.393949\pi\)
0.0339623 + 0.999423i \(0.489187\pi\)
\(402\) 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 −0.854270 0.519829i \(-0.825996\pi\)
−0.316703 0.948525i \(-0.602576\pi\)
\(410\) −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 −0.827188 0.561925i \(-0.810061\pi\)
0.989081 0.147373i \(-0.0470818\pi\)
\(420\) −7704.06 + 102804.i −0.00213106 + 0.0284371i
\(421\) −3.30122e6 + 1.01829e6i −0.907756 + 0.280006i −0.713261 0.700898i \(-0.752783\pi\)
−0.194494 + 0.980904i \(0.562307\pi\)
\(422\) −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 −0.182126 0.983275i \(-0.558298\pi\)
0.115791 + 0.993274i \(0.463060\pi\)
\(434\) 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 −0.382318 0.924031i \(-0.624874\pi\)
0.204639 + 0.978838i \(0.434398\pi\)
\(440\) −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 −0.968093 0.250591i \(-0.919375\pi\)
0.919932 0.392079i \(-0.128244\pi\)
\(444\) −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 0.749737 0.661736i \(-0.230180\pi\)
0.246692 + 0.969094i \(0.420656\pi\)
\(450\) 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 −0.901203 0.433397i \(-0.857315\pi\)
−0.223048 + 0.974808i \(0.571601\pi\)
\(458\) 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 0.918276 + 0.395940i \(0.129581\pi\)
−0.403836 + 0.914831i \(0.632323\pi\)
\(462\) −20918.0 + 91647.7i −0.00455948 + 0.0199764i
\(463\) −191939. + 2.56125e6i −0.0416113 + 0.555264i 0.936971 + 0.349408i \(0.113617\pi\)
−0.978582 + 0.205857i \(0.934002\pi\)
\(464\) 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 −0.547382 0.836883i \(-0.684376\pi\)
0.998453 + 0.0556057i \(0.0177090\pi\)
\(468\) −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 −0.555735 0.831360i \(-0.687563\pi\)
0.997846 + 0.0656006i \(0.0208963\pi\)
\(480\) −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 −0.869528 0.493884i \(-0.835577\pi\)
−0.976472 + 0.215644i \(0.930815\pi\)
\(488\) 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 0.714405 + 0.699733i \(0.246698\pi\)
−0.999635 + 0.0270216i \(0.991398\pi\)
\(492\) −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 0.694170 0.719811i \(-0.255772\pi\)
−0.416445 + 0.909161i \(0.636724\pi\)
\(500\) −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 −0.826867 0.562397i \(-0.809879\pi\)
0.733811 0.679354i \(-0.237740\pi\)
\(504\) −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 0.928171 0.372154i \(-0.121381\pi\)
−0.786380 + 0.617743i \(0.788047\pi\)
\(510\) −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 −0.367808 0.929902i \(-0.619891\pi\)
0.731246 + 0.682114i \(0.238939\pi\)
\(522\) 2.77918e6 4.81368e6i 0.446416 0.773216i
\(523\) 3.75385e6 + 6.50185e6i 0.600098 + 1.03940i 0.992806 + 0.119737i \(0.0382051\pi\)
−0.392708 + 0.919663i \(0.628462\pi\)
\(524\) −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 0.716762 + 0.697318i \(0.245623\pi\)
−0.999720 + 0.0236479i \(0.992472\pi\)
\(542\) −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 −0.997657 0.0684172i \(-0.978205\pi\)
0.684799 0.728732i \(-0.259890\pi\)
\(548\) 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 −0.282927 + 0.959141i \(0.591306\pi\)
−0.872136 + 0.489263i \(0.837266\pi\)
\(558\) 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 0.977778 0.209642i \(-0.0672300\pi\)
−0.971908 + 0.235361i \(0.924373\pi\)
\(564\) 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 −0.777121 0.629351i \(-0.783321\pi\)
0.862241 0.506498i \(-0.169060\pi\)
\(570\) −24594.9 + 107757.i −0.00317072 + 0.0138918i
\(571\) 3.51463e6 + 8.95512e6i 0.451117 + 1.14943i 0.957836 + 0.287315i \(0.0927628\pi\)
−0.506719 + 0.862111i \(0.669142\pi\)
\(572\) 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 −0.920336 0.391130i \(-0.872084\pi\)
0.940689 + 0.339269i \(0.110180\pi\)
\(578\) 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 −0.575827 0.817572i \(-0.695320\pi\)
0.772254 + 0.635314i \(0.219129\pi\)
\(588\) 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 −0.800288 0.599615i \(-0.795320\pi\)
−0.323454 + 0.946244i \(0.604844\pi\)
\(594\) −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 −0.268562 0.963262i \(-0.586549\pi\)
0.0272957 + 0.999627i \(0.491310\pi\)
\(600\) −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 −0.589860 0.807506i \(-0.700817\pi\)
0.536186 + 0.844100i \(0.319865\pi\)
\(608\) 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 −0.579226 0.815167i \(-0.696645\pi\)
0.875552 0.483124i \(-0.160498\pi\)
\(614\) 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 −0.177825 0.984062i \(-0.556906\pi\)
0.968022 + 0.250867i \(0.0807156\pi\)
\(618\) −6.39430e6 + 3.07933e6i −0.673475 + 0.324329i
\(619\) −7.64339e6 5.21117e6i −0.801788 0.546650i 0.0916740 0.995789i \(-0.470778\pi\)
−0.893462 + 0.449140i \(0.851731\pi\)
\(620\) 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 −0.785117 0.619348i \(-0.787397\pi\)
−0.932792 + 0.360414i \(0.882635\pi\)
\(632\) −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 0.925311 0.379209i \(-0.123804\pi\)
−0.998209 + 0.0598217i \(0.980947\pi\)
\(642\) −1.15670e7 + 1.74344e6i −1.10760 + 0.166944i
\(643\) −5.14070e6 + 6.44624e6i −0.490337 + 0.614864i −0.964019 0.265832i \(-0.914353\pi\)
0.473682 + 0.880696i \(0.342925\pi\)
\(644\) −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 −0.780206 0.625523i \(-0.784886\pi\)
0.783452 + 0.621452i \(0.213457\pi\)
\(648\) 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 0.665332 0.746548i \(-0.268290\pi\)
−0.168847 + 0.985642i \(0.554004\pi\)
\(654\) −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 −0.160861 0.986977i \(-0.551427\pi\)
−0.444631 + 0.895714i \(0.646665\pi\)
\(660\) 1.58529e7 1.47093e7i 1.41661 1.31442i
\(661\) −1.16122e7 + 5.59215e6i −1.03374 + 0.497823i −0.872255 0.489051i \(-0.837343\pi\)
−0.161486 + 0.986875i \(0.551629\pi\)
\(662\) −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 −0.0889756 + 0.996034i \(0.528359\pi\)
−0.999898 + 0.0142931i \(0.995450\pi\)
\(674\) 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 −0.829762 0.558118i \(-0.811524\pi\)
0.989748 0.142827i \(-0.0456192\pi\)
\(678\) −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 −0.383960 0.923350i \(-0.625440\pi\)
0.719246 + 0.694756i \(0.244487\pi\)
\(684\) 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 −0.769041 0.639200i \(-0.779266\pi\)
−0.546467 + 0.837481i \(0.684028\pi\)
\(692\) −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 −0.720063 0.693909i \(-0.755887\pi\)
0.608599 0.793478i \(-0.291732\pi\)
\(702\) 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 0.920201 + 0.391447i \(0.128025\pi\)
0.176869 + 0.984234i \(0.443403\pi\)
\(710\) 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 0.997626 0.0688623i \(-0.0219369\pi\)
−0.778150 + 0.628078i \(0.783842\pi\)
\(720\) −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 0.991453 0.130464i \(-0.0416467\pi\)
−0.949875 + 0.312631i \(0.898790\pi\)
\(728\) 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 −0.544582 0.838708i \(-0.683312\pi\)
0.938861 + 0.344298i \(0.111883\pi\)
\(734\) −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 0.799752 0.600331i \(-0.204964\pi\)
0.0292793 + 0.999571i \(0.490679\pi\)
\(740\) −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 0.919489 0.393116i \(-0.128603\pi\)
−0.941420 + 0.337237i \(0.890508\pi\)
\(744\) 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 0.894368 0.447332i \(-0.147626\pi\)
−0.379245 + 0.925296i \(0.623816\pi\)
\(752\) 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 + 5.07187e6i 1.04979 + 0.323818i