Properties

Label 33.6.f.a.2.2
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.95379 + 9.09083i) q^{2} +(10.1153 - 11.8609i) q^{3} +(-48.0298 - 34.8957i) q^{4} +(91.6682 - 29.7848i) q^{5} +(77.9468 + 126.991i) q^{6} +(70.5766 - 97.1403i) q^{7} +(211.641 - 153.766i) q^{8} +(-38.3609 - 239.953i) q^{9} +O(q^{10})\) \(q+(-2.95379 + 9.09083i) q^{2} +(10.1153 - 11.8609i) q^{3} +(-48.0298 - 34.8957i) q^{4} +(91.6682 - 29.7848i) q^{5} +(77.9468 + 126.991i) q^{6} +(70.5766 - 97.1403i) q^{7} +(211.641 - 153.766i) q^{8} +(-38.3609 - 239.953i) q^{9} +921.319i q^{10} +(-277.875 + 289.545i) q^{11} +(-899.731 + 216.695i) q^{12} +(390.347 + 126.831i) q^{13} +(674.618 + 928.532i) q^{14} +(573.979 - 1388.55i) q^{15} +(185.656 + 571.392i) q^{16} +(-39.0029 - 120.038i) q^{17} +(2294.68 + 360.039i) q^{18} +(1063.98 + 1464.45i) q^{19} +(-5442.17 - 1768.27i) q^{20} +(-438.265 - 1819.70i) q^{21} +(-1811.43 - 3381.37i) q^{22} -379.653i q^{23} +(317.013 - 4065.65i) q^{24} +(4987.75 - 3623.81i) q^{25} +(-2306.01 + 3173.95i) q^{26} +(-3234.09 - 1972.21i) q^{27} +(-6779.56 + 2202.81i) q^{28} +(-582.330 - 423.088i) q^{29} +(10927.6 + 9319.43i) q^{30} +(-2348.72 + 7228.62i) q^{31} +2628.48 q^{32} +(623.472 + 6224.68i) q^{33} +1206.46 q^{34} +(3576.32 - 11006.8i) q^{35} +(-6530.87 + 12863.5i) q^{36} +(-9263.80 - 6730.55i) q^{37} +(-16455.9 + 5346.83i) q^{38} +(5452.81 - 3346.92i) q^{39} +(14820.9 - 20399.2i) q^{40} +(-6792.51 + 4935.05i) q^{41} +(17837.2 + 1390.83i) q^{42} +7794.19i q^{43} +(23450.2 - 4210.18i) q^{44} +(-10663.4 - 20853.5i) q^{45} +(3451.36 + 1121.42i) q^{46} +(1576.98 + 2170.53i) q^{47} +(8655.18 + 3577.76i) q^{48} +(738.460 + 2272.75i) q^{49} +(18210.7 + 56046.8i) q^{50} +(-1818.29 - 751.618i) q^{51} +(-14322.4 - 19713.1i) q^{52} +(-25601.9 - 8318.56i) q^{53} +(27481.8 - 23575.1i) q^{54} +(-16848.2 + 34818.6i) q^{55} -31411.2i q^{56} +(28132.2 + 2193.57i) q^{57} +(5566.30 - 4044.16i) q^{58} +(7740.08 - 10653.3i) q^{59} +(-76022.5 + 46662.4i) q^{60} +(-5205.04 + 1691.22i) q^{61} +(-58776.6 - 42703.7i) q^{62} +(-26016.5 - 13208.7i) q^{63} +(-13705.0 + 42179.6i) q^{64} +39560.1 q^{65} +(-58429.2 - 12718.5i) q^{66} +47737.6 q^{67} +(-2315.53 + 7126.46i) q^{68} +(-4503.02 - 3840.31i) q^{69} +(89497.2 + 65023.5i) q^{70} +(8273.65 - 2688.27i) q^{71} +(-45015.5 - 44885.4i) q^{72} +(-8641.33 + 11893.8i) q^{73} +(88549.6 - 64335.1i) q^{74} +(7471.05 - 95815.1i) q^{75} -107466. i q^{76} +(8515.08 + 47428.0i) q^{77} +(14319.8 + 59456.7i) q^{78} +(-54109.7 - 17581.3i) q^{79} +(34037.6 + 46848.7i) q^{80} +(-56105.9 + 18409.6i) q^{81} +(-24800.0 - 76326.7i) q^{82} +(15446.3 + 47538.8i) q^{83} +(-42450.1 + 102694. i) q^{84} +(-7150.65 - 9842.02i) q^{85} +(-70855.7 - 23022.4i) q^{86} +(-10908.6 + 2627.28i) q^{87} +(-14287.4 + 104008. i) q^{88} -69906.5i q^{89} +(221073. - 35342.6i) q^{90} +(39869.8 - 28967.1i) q^{91} +(-13248.3 + 18234.7i) q^{92} +(61979.8 + 100978. i) q^{93} +(-24390.0 + 7924.78i) q^{94} +(141152. + 102553. i) q^{95} +(26587.9 - 31176.1i) q^{96} +(-5484.25 + 16878.8i) q^{97} -22842.4 q^{98} +(80136.8 + 55569.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.95379 + 9.09083i −0.522161 + 1.60705i 0.247700 + 0.968837i \(0.420325\pi\)
−0.769862 + 0.638211i \(0.779675\pi\)
\(3\) 10.1153 11.8609i 0.648898 0.760876i
\(4\) −48.0298 34.8957i −1.50093 1.09049i
\(5\) 91.6682 29.7848i 1.63981 0.532807i 0.663315 0.748341i \(-0.269149\pi\)
0.976496 + 0.215534i \(0.0691492\pi\)
\(6\) 77.9468 + 126.991i 0.883934 + 1.44011i
\(7\) 70.5766 97.1403i 0.544397 0.749298i −0.444842 0.895609i \(-0.646740\pi\)
0.989239 + 0.146311i \(0.0467401\pi\)
\(8\) 211.641 153.766i 1.16916 0.849448i
\(9\) −38.3609 239.953i −0.157864 0.987461i
\(10\) 921.319i 2.91347i
\(11\) −277.875 + 289.545i −0.692417 + 0.721498i
\(12\) −899.731 + 216.695i −1.80368 + 0.434406i
\(13\) 390.347 + 126.831i 0.640608 + 0.208146i 0.611269 0.791423i \(-0.290660\pi\)
0.0293397 + 0.999569i \(0.490660\pi\)
\(14\) 674.618 + 928.532i 0.919894 + 1.26613i
\(15\) 573.979 1388.55i 0.658670 1.59343i
\(16\) 185.656 + 571.392i 0.181305 + 0.558000i
\(17\) −39.0029 120.038i −0.0327321 0.100739i 0.933356 0.358953i \(-0.116866\pi\)
−0.966088 + 0.258214i \(0.916866\pi\)
\(18\) 2294.68 + 360.039i 1.66933 + 0.261920i
\(19\) 1063.98 + 1464.45i 0.676163 + 0.930658i 0.999880 0.0154955i \(-0.00493256\pi\)
−0.323717 + 0.946154i \(0.604933\pi\)
\(20\) −5442.17 1768.27i −3.04227 0.988492i
\(21\) −438.265 1819.70i −0.216865 0.900436i
\(22\) −1811.43 3381.37i −0.797928 1.48948i
\(23\) 379.653i 0.149647i −0.997197 0.0748234i \(-0.976161\pi\)
0.997197 0.0748234i \(-0.0238393\pi\)
\(24\) 317.013 4065.65i 0.112344 1.44079i
\(25\) 4987.75 3623.81i 1.59608 1.15962i
\(26\) −2306.01 + 3173.95i −0.669002 + 0.920802i
\(27\) −3234.09 1972.21i −0.853772 0.520646i
\(28\) −6779.56 + 2202.81i −1.63421 + 0.530986i
\(29\) −582.330 423.088i −0.128580 0.0934190i 0.521636 0.853168i \(-0.325322\pi\)
−0.650217 + 0.759749i \(0.725322\pi\)
\(30\) 10927.6 + 9319.43i 2.21679 + 1.89054i
\(31\) −2348.72 + 7228.62i −0.438963 + 1.35099i 0.450008 + 0.893024i \(0.351421\pi\)
−0.888971 + 0.457963i \(0.848579\pi\)
\(32\) 2628.48 0.453764
\(33\) 623.472 + 6224.68i 0.0996626 + 0.995021i
\(34\) 1206.46 0.178984
\(35\) 3576.32 11006.8i 0.493477 1.51876i
\(36\) −6530.87 + 12863.5i −0.839875 + 1.65426i
\(37\) −9263.80 6730.55i −1.11246 0.808251i −0.129412 0.991591i \(-0.541309\pi\)
−0.983049 + 0.183340i \(0.941309\pi\)
\(38\) −16455.9 + 5346.83i −1.84868 + 0.600672i
\(39\) 5452.81 3346.92i 0.574063 0.352358i
\(40\) 14820.9 20399.2i 1.46462 2.01587i
\(41\) −6792.51 + 4935.05i −0.631060 + 0.458492i −0.856767 0.515703i \(-0.827531\pi\)
0.225707 + 0.974195i \(0.427531\pi\)
\(42\) 17837.2 + 1390.83i 1.56028 + 0.121661i
\(43\) 7794.19i 0.642835i 0.946938 + 0.321418i \(0.104159\pi\)
−0.946938 + 0.321418i \(0.895841\pi\)
\(44\) 23450.2 4210.18i 1.82606 0.327845i
\(45\) −10663.4 20853.5i −0.784993 1.53514i
\(46\) 3451.36 + 1121.42i 0.240490 + 0.0781398i
\(47\) 1576.98 + 2170.53i 0.104131 + 0.143325i 0.857903 0.513812i \(-0.171767\pi\)
−0.753771 + 0.657137i \(0.771767\pi\)
\(48\) 8655.18 + 3577.76i 0.542217 + 0.224134i
\(49\) 738.460 + 2272.75i 0.0439376 + 0.135226i
\(50\) 18210.7 + 56046.8i 1.03015 + 3.17048i
\(51\) −1818.29 751.618i −0.0978897 0.0404643i
\(52\) −14322.4 19713.1i −0.734528 1.01099i
\(53\) −25601.9 8318.56i −1.25194 0.406779i −0.393322 0.919401i \(-0.628674\pi\)
−0.858615 + 0.512622i \(0.828674\pi\)
\(54\) 27481.8 23575.1i 1.28251 1.10019i
\(55\) −16848.2 + 34818.6i −0.751014 + 1.55204i
\(56\) 31411.2i 1.33849i
\(57\) 28132.2 + 2193.57i 1.14688 + 0.0894261i
\(58\) 5566.30 4044.16i 0.217269 0.157855i
\(59\) 7740.08 10653.3i 0.289478 0.398432i −0.639367 0.768902i \(-0.720803\pi\)
0.928844 + 0.370470i \(0.120803\pi\)
\(60\) −76022.5 + 46662.4i −2.72624 + 1.67336i
\(61\) −5205.04 + 1691.22i −0.179102 + 0.0581937i −0.397195 0.917734i \(-0.630016\pi\)
0.218093 + 0.975928i \(0.430016\pi\)
\(62\) −58776.6 42703.7i −1.94189 1.41087i
\(63\) −26016.5 13208.7i −0.825843 0.419284i
\(64\) −13705.0 + 42179.6i −0.418243 + 1.28722i
\(65\) 39560.1 1.16138
\(66\) −58429.2 12718.5i −1.65109 0.359399i
\(67\) 47737.6 1.29919 0.649597 0.760279i \(-0.274938\pi\)
0.649597 + 0.760279i \(0.274938\pi\)
\(68\) −2315.53 + 7126.46i −0.0607264 + 0.186897i
\(69\) −4503.02 3840.31i −0.113863 0.0971055i
\(70\) 89497.2 + 65023.5i 2.18305 + 1.58608i
\(71\) 8273.65 2688.27i 0.194783 0.0632889i −0.210001 0.977701i \(-0.567347\pi\)
0.404784 + 0.914412i \(0.367347\pi\)
\(72\) −45015.5 44885.4i −1.02336 1.02041i
\(73\) −8641.33 + 11893.8i −0.189790 + 0.261224i −0.893299 0.449463i \(-0.851615\pi\)
0.703509 + 0.710686i \(0.251615\pi\)
\(74\) 88549.6 64335.1i 1.87978 1.36574i
\(75\) 7471.05 95815.1i 0.153366 1.96689i
\(76\) 107466.i 2.13421i
\(77\) 8515.08 + 47428.0i 0.163667 + 0.911607i
\(78\) 14319.8 + 59456.7i 0.266502 + 1.10653i
\(79\) −54109.7 17581.3i −0.975455 0.316945i −0.222439 0.974947i \(-0.571402\pi\)
−0.753016 + 0.658002i \(0.771402\pi\)
\(80\) 34037.6 + 46848.7i 0.594612 + 0.818413i
\(81\) −56105.9 + 18409.6i −0.950158 + 0.311768i
\(82\) −24800.0 76326.7i −0.407303 1.25355i
\(83\) 15446.3 + 47538.8i 0.246110 + 0.757448i 0.995452 + 0.0952652i \(0.0303699\pi\)
−0.749342 + 0.662183i \(0.769630\pi\)
\(84\) −42450.1 + 102694.i −0.656418 + 1.58798i
\(85\) −7150.65 9842.02i −0.107349 0.147753i
\(86\) −70855.7 23022.4i −1.03307 0.335664i
\(87\) −10908.6 + 2627.28i −0.154516 + 0.0372142i
\(88\) −14287.4 + 104008.i −0.196674 + 1.43172i
\(89\) 69906.5i 0.935498i −0.883861 0.467749i \(-0.845065\pi\)
0.883861 0.467749i \(-0.154935\pi\)
\(90\) 221073. 35342.6i 2.87693 0.459930i
\(91\) 39869.8 28967.1i 0.504708 0.366692i
\(92\) −13248.3 + 18234.7i −0.163189 + 0.224610i
\(93\) 61979.8 + 100978.i 0.743092 + 1.21065i
\(94\) −24390.0 + 7924.78i −0.284703 + 0.0925055i
\(95\) 141152. + 102553.i 1.60464 + 1.16584i
\(96\) 26587.9 31176.1i 0.294447 0.345258i
\(97\) −5484.25 + 16878.8i −0.0591818 + 0.182143i −0.976277 0.216526i \(-0.930528\pi\)
0.917095 + 0.398668i \(0.130528\pi\)
\(98\) −22842.4 −0.240257
\(99\) 80136.8 + 55569.7i 0.821758 + 0.569836i
\(100\) −366016. −3.66016
\(101\) −15886.0 + 48892.0i −0.154957 + 0.476908i −0.998157 0.0606925i \(-0.980669\pi\)
0.843200 + 0.537600i \(0.180669\pi\)
\(102\) 12203.7 14309.6i 0.116142 0.136185i
\(103\) 121685. + 88409.1i 1.13017 + 0.821115i 0.985719 0.168397i \(-0.0538592\pi\)
0.144448 + 0.989512i \(0.453859\pi\)
\(104\) 102116. 33179.5i 0.925786 0.300806i
\(105\) −94374.6 153755.i −0.835376 1.36100i
\(106\) 151245. 208171.i 1.30743 1.79952i
\(107\) −114518. + 83202.4i −0.966975 + 0.702549i −0.954760 0.297377i \(-0.903888\pi\)
−0.0122150 + 0.999925i \(0.503888\pi\)
\(108\) 86511.1 + 207581.i 0.713694 + 1.71249i
\(109\) 20912.8i 0.168595i −0.996441 0.0842976i \(-0.973135\pi\)
0.996441 0.0842976i \(-0.0268646\pi\)
\(110\) −266764. 256011.i −2.10206 2.01733i
\(111\) −173536. + 41795.2i −1.33685 + 0.321973i
\(112\) 68608.1 + 22292.1i 0.516810 + 0.167922i
\(113\) 54553.6 + 75086.6i 0.401909 + 0.553180i 0.961222 0.275777i \(-0.0889350\pi\)
−0.559313 + 0.828957i \(0.688935\pi\)
\(114\) −103038. + 249266.i −0.742566 + 1.79639i
\(115\) −11307.9 34802.1i −0.0797328 0.245392i
\(116\) 13205.3 + 40641.7i 0.0911177 + 0.280431i
\(117\) 15459.5 98530.3i 0.104407 0.665434i
\(118\) 73984.8 + 101831.i 0.489145 + 0.673251i
\(119\) −14413.3 4683.15i −0.0933028 0.0303159i
\(120\) −92034.5 382133.i −0.583442 2.42249i
\(121\) −6622.12 160915.i −0.0411182 0.999154i
\(122\) 52313.7i 0.318212i
\(123\) −10174.4 + 130485.i −0.0606380 + 0.777673i
\(124\) 365057. 265229.i 2.13209 1.54906i
\(125\) 172240. 237067.i 0.985957 1.35705i
\(126\) 196925. 197496.i 1.10503 1.10823i
\(127\) −333795. + 108457.i −1.83641 + 0.596687i −0.837692 + 0.546143i \(0.816096\pi\)
−0.998722 + 0.0505444i \(0.983904\pi\)
\(128\) −274919. 199740.i −1.48313 1.07756i
\(129\) 92445.9 + 78840.6i 0.489118 + 0.417134i
\(130\) −116852. + 359634.i −0.606427 + 1.86639i
\(131\) −11791.4 −0.0600328 −0.0300164 0.999549i \(-0.509556\pi\)
−0.0300164 + 0.999549i \(0.509556\pi\)
\(132\) 187270. 320727.i 0.935475 1.60214i
\(133\) 217349. 1.06544
\(134\) −141007. + 433975.i −0.678389 + 2.08787i
\(135\) −355205. 84462.0i −1.67743 0.398866i
\(136\) −26712.5 19407.8i −0.123842 0.0899764i
\(137\) 229704. 74635.5i 1.04561 0.339738i 0.264663 0.964341i \(-0.414739\pi\)
0.780942 + 0.624603i \(0.214739\pi\)
\(138\) 48212.6 29592.7i 0.215508 0.132278i
\(139\) −127049. + 174867.i −0.557741 + 0.767665i −0.991037 0.133587i \(-0.957351\pi\)
0.433296 + 0.901252i \(0.357351\pi\)
\(140\) −555860. + 403856.i −2.39688 + 1.74143i
\(141\) 41696.0 + 3251.19i 0.176623 + 0.0137719i
\(142\) 83155.0i 0.346073i
\(143\) −145191. + 77779.9i −0.593745 + 0.318074i
\(144\) 129985. 66467.9i 0.522381 0.267120i
\(145\) −65982.8 21439.1i −0.260622 0.0846811i
\(146\) −82599.6 113689.i −0.320698 0.441402i
\(147\) 34426.5 + 14230.8i 0.131401 + 0.0543168i
\(148\) 210072. + 646534.i 0.788339 + 2.42626i
\(149\) −143829. 442661.i −0.530740 1.63345i −0.752679 0.658388i \(-0.771239\pi\)
0.221939 0.975061i \(-0.428761\pi\)
\(150\) 848971. + 350936.i 3.08081 + 1.27350i
\(151\) 35033.2 + 48219.1i 0.125037 + 0.172098i 0.866946 0.498402i \(-0.166080\pi\)
−0.741909 + 0.670500i \(0.766080\pi\)
\(152\) 450366. + 146333.i 1.58109 + 0.513728i
\(153\) −27307.4 + 13963.6i −0.0943087 + 0.0482247i
\(154\) −456312. 62683.1i −1.55046 0.212985i
\(155\) 732591.i 2.44925i
\(156\) −378691. 29527.9i −1.24587 0.0971452i
\(157\) 250320. 181868.i 0.810488 0.588854i −0.103484 0.994631i \(-0.532999\pi\)
0.913972 + 0.405777i \(0.132999\pi\)
\(158\) 319657. 439971.i 1.01869 1.40211i
\(159\) −357637. + 219516.i −1.12189 + 0.688611i
\(160\) 240948. 78288.9i 0.744088 0.241769i
\(161\) −36879.6 26794.6i −0.112130 0.0814672i
\(162\) −1633.71 564427.i −0.00489089 1.68974i
\(163\) 106241. 326976.i 0.313201 0.963932i −0.663288 0.748364i \(-0.730840\pi\)
0.976489 0.215568i \(-0.0691603\pi\)
\(164\) 498455. 1.44716
\(165\) 242554. + 552036.i 0.693582 + 1.57855i
\(166\) −477792. −1.34576
\(167\) −70695.0 + 217577.i −0.196154 + 0.603700i 0.803807 + 0.594890i \(0.202804\pi\)
−0.999961 + 0.00881022i \(0.997196\pi\)
\(168\) −372565. 317734.i −1.01842 0.868542i
\(169\) −164098. 119224.i −0.441963 0.321105i
\(170\) 110594. 35934.1i 0.293500 0.0953639i
\(171\) 310584. 311484.i 0.812247 0.814602i
\(172\) 271984. 374354.i 0.701006 0.964852i
\(173\) 606298. 440501.i 1.54018 1.11900i 0.589953 0.807438i \(-0.299146\pi\)
0.950224 0.311567i \(-0.100854\pi\)
\(174\) 8337.65 106929.i 0.0208771 0.267746i
\(175\) 740268.i 1.82723i
\(176\) −217033. 105019.i −0.528134 0.255557i
\(177\) −48064.2 199566.i −0.115316 0.478798i
\(178\) 635509. + 206489.i 1.50339 + 0.488481i
\(179\) 133755. + 184098.i 0.312016 + 0.429453i 0.936009 0.351977i \(-0.114491\pi\)
−0.623993 + 0.781430i \(0.714491\pi\)
\(180\) −215535. + 1.37370e6i −0.495834 + 3.16017i
\(181\) −58633.2 180454.i −0.133029 0.409422i 0.862249 0.506485i \(-0.169055\pi\)
−0.995278 + 0.0970625i \(0.969055\pi\)
\(182\) 145568. + 448013.i 0.325752 + 1.00256i
\(183\) −32591.3 + 78843.6i −0.0719405 + 0.174036i
\(184\) −58377.9 80350.3i −0.127117 0.174962i
\(185\) −1.04966e6 341057.i −2.25487 0.732651i
\(186\) −1.10105e6 + 265181.i −2.33358 + 0.562030i
\(187\) 45594.5 + 22062.6i 0.0953473 + 0.0461373i
\(188\) 159280.i 0.328675i
\(189\) −419831. + 174969.i −0.854910 + 0.356292i
\(190\) −1.34922e6 + 980269.i −2.71144 + 1.96998i
\(191\) 240841. 331489.i 0.477690 0.657484i −0.500369 0.865812i \(-0.666802\pi\)
0.978059 + 0.208328i \(0.0668023\pi\)
\(192\) 361657. + 589214.i 0.708018 + 1.15351i
\(193\) 336632. 109378.i 0.650521 0.211367i 0.0348773 0.999392i \(-0.488896\pi\)
0.615644 + 0.788024i \(0.288896\pi\)
\(194\) −137243. 99712.8i −0.261810 0.190216i
\(195\) 400162. 469217.i 0.753616 0.883664i
\(196\) 43841.0 134929.i 0.0815155 0.250879i
\(197\) 591565. 1.08602 0.543009 0.839727i \(-0.317285\pi\)
0.543009 + 0.839727i \(0.317285\pi\)
\(198\) −741882. + 564369.i −1.34484 + 1.02306i
\(199\) 240641. 0.430762 0.215381 0.976530i \(-0.430901\pi\)
0.215381 + 0.976530i \(0.430901\pi\)
\(200\) 498393. 1.53390e6i 0.881043 2.71157i
\(201\) 482881. 566210.i 0.843043 0.988525i
\(202\) −397545. 288834.i −0.685501 0.498046i
\(203\) −82197.7 + 26707.7i −0.139997 + 0.0454879i
\(204\) 61103.8 + 99550.6i 0.102800 + 0.167482i
\(205\) −475668. + 654701.i −0.790531 + 1.08807i
\(206\) −1.16314e6 + 845073.i −1.90970 + 1.38748i
\(207\) −91098.9 + 14563.8i −0.147770 + 0.0236238i
\(208\) 246588.i 0.395197i
\(209\) −719679. 98861.7i −1.13965 0.156553i
\(210\) 1.67653e6 403782.i 2.62339 0.631828i
\(211\) 142739. + 46378.8i 0.220718 + 0.0717155i 0.417288 0.908774i \(-0.362980\pi\)
−0.196571 + 0.980490i \(0.562980\pi\)
\(212\) 939373. + 1.29294e6i 1.43548 + 1.97577i
\(213\) 51805.3 125325.i 0.0782393 0.189274i
\(214\) −418116. 1.28683e6i −0.624112 1.92082i
\(215\) 232148. + 714479.i 0.342507 + 1.05413i
\(216\) −987725. + 79893.5i −1.44046 + 0.116514i
\(217\) 536426. + 738327.i 0.773322 + 1.06439i
\(218\) 190114. + 61771.9i 0.270940 + 0.0880339i
\(219\) 53660.8 + 222803.i 0.0756043 + 0.313914i
\(220\) 2.02424e6 1.08440e6i 2.81971 1.51054i
\(221\) 51803.4i 0.0713474i
\(222\) 132637. 1.70105e6i 0.180626 2.31651i
\(223\) −285255. + 207250.i −0.384124 + 0.279082i −0.763043 0.646347i \(-0.776296\pi\)
0.378920 + 0.925430i \(0.376296\pi\)
\(224\) 185509. 255332.i 0.247028 0.340005i
\(225\) −1.06088e6 1.05781e6i −1.39704 1.39300i
\(226\) −843740. + 274148.i −1.09885 + 0.357037i
\(227\) −480558. 349146.i −0.618987 0.449720i 0.233581 0.972337i \(-0.424956\pi\)
−0.852568 + 0.522617i \(0.824956\pi\)
\(228\) −1.27464e6 1.08705e6i −1.62387 1.38488i
\(229\) −8267.06 + 25443.4i −0.0104175 + 0.0320617i −0.956130 0.292942i \(-0.905366\pi\)
0.945713 + 0.325004i \(0.105366\pi\)
\(230\) 349782. 0.435991
\(231\) 648670. + 378752.i 0.799823 + 0.467009i
\(232\) −188302. −0.229686
\(233\) −41684.4 + 128291.i −0.0503019 + 0.154813i −0.973052 0.230585i \(-0.925936\pi\)
0.922750 + 0.385398i \(0.125936\pi\)
\(234\) 850059. + 431578.i 1.01487 + 0.515252i
\(235\) 209208. + 151998.i 0.247120 + 0.179543i
\(236\) −743509. + 241581.i −0.868973 + 0.282347i
\(237\) −755866. + 463948.i −0.874126 + 0.536536i
\(238\) 85147.5 117196.i 0.0974383 0.134112i
\(239\) 1.36402e6 991016.i 1.54463 1.12224i 0.597287 0.802028i \(-0.296246\pi\)
0.947346 0.320213i \(-0.103754\pi\)
\(240\) 899968. + 70173.8i 1.00855 + 0.0786406i
\(241\) 1.31312e6i 1.45633i 0.685400 + 0.728167i \(0.259627\pi\)
−0.685400 + 0.728167i \(0.740373\pi\)
\(242\) 1.48241e6 + 415108.i 1.62716 + 0.455641i
\(243\) −349174. + 851684.i −0.379338 + 0.925258i
\(244\) 309014. + 100405.i 0.332279 + 0.107964i
\(245\) 135387. + 186344.i 0.144099 + 0.198335i
\(246\) −1.15616e6 477918.i −1.21809 0.503519i
\(247\) 229585. + 706590.i 0.239443 + 0.736928i
\(248\) 614433. + 1.89103e6i 0.634374 + 1.95240i
\(249\) 720096. + 297663.i 0.736024 + 0.304247i
\(250\) 1.64638e6 + 2.26605e6i 1.66602 + 2.29308i
\(251\) −66780.3 21698.2i −0.0669058 0.0217390i 0.275373 0.961338i \(-0.411199\pi\)
−0.342279 + 0.939598i \(0.611199\pi\)
\(252\) 788642. + 1.54227e6i 0.782309 + 1.52989i
\(253\) 109927. + 105496.i 0.107970 + 0.103618i
\(254\) 3.35483e6i 3.26277i
\(255\) −189066. 14742.2i −0.182080 0.0141975i
\(256\) 1.47969e6 1.07506e6i 1.41115 1.02526i
\(257\) −336991. + 463828.i −0.318262 + 0.438051i −0.937936 0.346809i \(-0.887265\pi\)
0.619673 + 0.784860i \(0.287265\pi\)
\(258\) −989793. + 607532.i −0.925753 + 0.568224i
\(259\) −1.30761e6 + 424870.i −1.21124 + 0.393556i
\(260\) −1.90006e6 1.38048e6i −1.74315 1.26647i
\(261\) −79182.5 + 155962.i −0.0719495 + 0.141715i
\(262\) 34829.5 107194.i 0.0313468 0.0964756i
\(263\) −1.06257e6 −0.947259 −0.473629 0.880724i \(-0.657056\pi\)
−0.473629 + 0.880724i \(0.657056\pi\)
\(264\) 1.08910e6 + 1.22153e6i 0.961740 + 1.07869i
\(265\) −2.59465e6 −2.26967
\(266\) −642005. + 1.97589e6i −0.556332 + 1.71221i
\(267\) −829153. 707127.i −0.711798 0.607042i
\(268\) −2.29283e6 1.66584e6i −1.95000 1.41676i
\(269\) −254015. + 82534.4i −0.214032 + 0.0695432i −0.414070 0.910245i \(-0.635893\pi\)
0.200039 + 0.979788i \(0.435893\pi\)
\(270\) 1.81703e6 2.97962e6i 1.51689 2.48744i
\(271\) 418731. 576334.i 0.346348 0.476707i −0.599934 0.800049i \(-0.704807\pi\)
0.946282 + 0.323343i \(0.104807\pi\)
\(272\) 61347.8 44571.8i 0.0502779 0.0365290i
\(273\) 59720.2 765902.i 0.0484970 0.621966i
\(274\) 2.30866e6i 1.85774i
\(275\) −336712. + 2.45115e6i −0.268489 + 1.95451i
\(276\) 82268.9 + 341586.i 0.0650075 + 0.269915i
\(277\) 694976. + 225811.i 0.544215 + 0.176826i 0.568206 0.822886i \(-0.307638\pi\)
−0.0239917 + 0.999712i \(0.507638\pi\)
\(278\) −1.21442e6 1.67150e6i −0.942443 1.29716i
\(279\) 1.82463e6 + 286287.i 1.40334 + 0.220186i
\(280\) −935577. 2.87941e6i −0.713156 2.19487i
\(281\) −402333. 1.23825e6i −0.303962 0.935500i −0.980062 0.198690i \(-0.936331\pi\)
0.676100 0.736810i \(-0.263669\pi\)
\(282\) −152717. + 369448.i −0.114358 + 0.276650i
\(283\) −1.17802e6 1.62140e6i −0.874350 1.20344i −0.977954 0.208821i \(-0.933037\pi\)
0.103604 0.994619i \(-0.466963\pi\)
\(284\) −491191. 159598.i −0.361372 0.117417i
\(285\) 2.64416e6 636831.i 1.92831 0.464421i
\(286\) −278220. 1.54965e6i −0.201129 1.12026i
\(287\) 1.00813e6i 0.722453i
\(288\) −100831. 630712.i −0.0716329 0.448074i
\(289\) 1.13580e6 825207.i 0.799940 0.581190i
\(290\) 389799. 536512.i 0.272173 0.374614i
\(291\) 144722. + 235782.i 0.100185 + 0.163222i
\(292\) 830083. 269710.i 0.569724 0.185115i
\(293\) 1.71267e6 + 1.24433e6i 1.16548 + 0.846772i 0.990461 0.137793i \(-0.0440007\pi\)
0.175021 + 0.984565i \(0.444001\pi\)
\(294\) −231058. + 270931.i −0.155902 + 0.182806i
\(295\) 392213. 1.20711e6i 0.262402 0.807589i
\(296\) −2.99554e6 −1.98722
\(297\) 1.46971e6 388388.i 0.966812 0.255491i
\(298\) 4.44900e6 2.90216
\(299\) 48152.0 148197.i 0.0311484 0.0958650i
\(300\) −3.70237e6 + 4.34128e6i −2.37507 + 2.78493i
\(301\) 757130. + 550087.i 0.481675 + 0.349957i
\(302\) −541833. + 176052.i −0.341860 + 0.111077i
\(303\) 419211. + 682980.i 0.262317 + 0.427367i
\(304\) −639238. + 879836.i −0.396715 + 0.546032i
\(305\) −426764. + 310063.i −0.262687 + 0.190853i
\(306\) −46280.7 289493.i −0.0282551 0.176740i
\(307\) 2.28943e6i 1.38637i 0.720757 + 0.693187i \(0.243794\pi\)
−0.720757 + 0.693187i \(0.756206\pi\)
\(308\) 1.24606e6 2.57510e6i 0.748446 1.54674i
\(309\) 2.27949e6 549002.i 1.35813 0.327098i
\(310\) −6.65987e6 2.16392e6i −3.93606 1.27890i
\(311\) −1.42811e6 1.96563e6i −0.837263 1.15239i −0.986527 0.163597i \(-0.947690\pi\)
0.149264 0.988797i \(-0.452310\pi\)
\(312\) 639397. 1.54681e6i 0.371864 0.899600i
\(313\) −264631. 814449.i −0.152679 0.469897i 0.845239 0.534388i \(-0.179458\pi\)
−0.997918 + 0.0644904i \(0.979458\pi\)
\(314\) 913940. + 2.81282e6i 0.523111 + 1.60997i
\(315\) −2.77830e6 435919.i −1.57762 0.247531i
\(316\) 1.98537e6 + 2.73262e6i 1.11847 + 1.53944i
\(317\) −2.59415e6 842889.i −1.44993 0.471110i −0.524950 0.851133i \(-0.675916\pi\)
−0.924977 + 0.380023i \(0.875916\pi\)
\(318\) −939201. 3.89962e6i −0.520824 2.16249i
\(319\) 284318. 51045.6i 0.156433 0.0280855i
\(320\) 4.27473e6i 2.33364i
\(321\) −171535. + 2.19991e6i −0.0929158 + 1.19163i
\(322\) 352520. 256121.i 0.189472 0.137659i
\(323\) 134292. 184837.i 0.0716215 0.0985785i
\(324\) 3.33717e6 + 1.07364e6i 1.76610 + 0.568196i
\(325\) 2.40657e6 781941.i 1.26383 0.410644i
\(326\) 2.65867e6 + 1.93164e6i 1.38554 + 1.00666i
\(327\) −248044. 211539.i −0.128280 0.109401i
\(328\) −678731. + 2.08892e6i −0.348348 + 1.07210i
\(329\) 322143. 0.164081
\(330\) −5.73492e6 + 574417.i −2.89896 + 0.290364i
\(331\) −406510. −0.203939 −0.101970 0.994788i \(-0.532514\pi\)
−0.101970 + 0.994788i \(0.532514\pi\)
\(332\) 917018. 2.82229e6i 0.456597 1.40526i
\(333\) −1.25965e6 + 2.48107e6i −0.622499 + 1.22611i
\(334\) −1.76914e6 1.28535e6i −0.867751 0.630458i
\(335\) 4.37602e6 1.42186e6i 2.13043 0.692219i
\(336\) 958397. 588261.i 0.463124 0.284264i
\(337\) −782650. + 1.07723e6i −0.375399 + 0.516692i −0.954358 0.298664i \(-0.903459\pi\)
0.578959 + 0.815356i \(0.303459\pi\)
\(338\) 1.56856e6 1.13962e6i 0.746807 0.542587i
\(339\) 1.44242e6 + 112471.i 0.681699 + 0.0531545i
\(340\) 722238.i 0.338831i
\(341\) −1.44036e6 2.68871e6i −0.670790 1.25216i
\(342\) 1.91425e6 + 3.74352e6i 0.884980 + 1.73067i
\(343\) 2.19217e6 + 712280.i 1.00610 + 0.326901i
\(344\) 1.19848e6 + 1.64957e6i 0.546055 + 0.751580i
\(345\) −527167. 217913.i −0.238452 0.0985678i
\(346\) 2.21365e6 + 6.81290e6i 0.994072 + 3.05944i
\(347\) −869217. 2.67517e6i −0.387529 1.19269i −0.934629 0.355625i \(-0.884268\pi\)
0.547100 0.837067i \(-0.315732\pi\)
\(348\) 615621. + 254477.i 0.272499 + 0.112642i
\(349\) −2.53030e6 3.48266e6i −1.11201 1.53055i −0.818423 0.574617i \(-0.805151\pi\)
−0.293586 0.955933i \(-0.594849\pi\)
\(350\) 6.72965e6 + 2.18660e6i 2.93645 + 0.954110i
\(351\) −1.01228e6 1.18003e6i −0.438563 0.511240i
\(352\) −730389. + 761065.i −0.314194 + 0.327390i
\(353\) 1.52326e6i 0.650633i −0.945605 0.325316i \(-0.894529\pi\)
0.945605 0.325316i \(-0.105471\pi\)
\(354\) 1.95619e6 + 152531.i 0.829665 + 0.0646920i
\(355\) 678361. 492858.i 0.285687 0.207564i
\(356\) −2.43944e6 + 3.35760e6i −1.02015 + 1.40412i
\(357\) −201341. + 123582.i −0.0836107 + 0.0513199i
\(358\) −2.06868e6 + 672156.i −0.853074 + 0.277181i
\(359\) 1.31009e6 + 951835.i 0.536494 + 0.389786i 0.822781 0.568358i \(-0.192421\pi\)
−0.286287 + 0.958144i \(0.592421\pi\)
\(360\) −5.46339e6 2.77378e6i −2.22181 1.12802i
\(361\) −247392. + 761393.i −0.0999119 + 0.307497i
\(362\) 1.81367e6 0.727424
\(363\) −1.97558e6 1.54916e6i −0.786914 0.617063i
\(364\) −2.92577e6 −1.15741
\(365\) −437881. + 1.34766e6i −0.172038 + 0.529479i
\(366\) −620487. 529170.i −0.242119 0.206487i
\(367\) 918272. + 667163.i 0.355882 + 0.258563i 0.751332 0.659924i \(-0.229412\pi\)
−0.395450 + 0.918487i \(0.629412\pi\)
\(368\) 216931. 70485.0i 0.0835029 0.0271317i
\(369\) 1.44475e6 + 1.44057e6i 0.552364 + 0.550768i
\(370\) 6.20098e6 8.53491e6i 2.35481 3.24112i
\(371\) −2.61496e6 + 1.89988e6i −0.986349 + 0.716624i
\(372\) 546812. 7.01277e6i 0.204871 2.62744i
\(373\) 1.21196e6i 0.451041i −0.974238 0.225520i \(-0.927592\pi\)
0.974238 0.225520i \(-0.0724082\pi\)
\(374\) −335244. + 349324.i −0.123932 + 0.129137i
\(375\) −1.06957e6 4.44092e6i −0.392764 1.63078i
\(376\) 667508. + 216887.i 0.243493 + 0.0791158i
\(377\) −173650. 239009.i −0.0629248 0.0866085i
\(378\) −350516. 4.33344e6i −0.126176 1.55992i
\(379\) −999226. 3.07530e6i −0.357327 1.09974i −0.954648 0.297737i \(-0.903768\pi\)
0.597321 0.802002i \(-0.296232\pi\)
\(380\) −3.20085e6 9.85120e6i −1.13712 3.49969i
\(381\) −2.09005e6 + 5.05617e6i −0.737640 + 1.78447i
\(382\) 2.30212e6 + 3.16859e6i 0.807177 + 1.11098i
\(383\) 309499. + 100562.i 0.107811 + 0.0350299i 0.362426 0.932013i \(-0.381949\pi\)
−0.254615 + 0.967043i \(0.581949\pi\)
\(384\) −5.14998e6 + 1.24034e6i −1.78229 + 0.429254i
\(385\) 2.19320e6 + 4.09402e6i 0.754094 + 1.40766i
\(386\) 3.38334e6i 1.15579i
\(387\) 1.87024e6 298992.i 0.634775 0.101480i
\(388\) 852405. 619309.i 0.287453 0.208847i
\(389\) −2.67594e6 + 3.68311e6i −0.896606 + 1.23407i 0.0749317 + 0.997189i \(0.476126\pi\)
−0.971538 + 0.236884i \(0.923874\pi\)
\(390\) 3.08358e6 + 5.02378e6i 1.02658 + 1.67251i
\(391\) −45573.0 + 14807.6i −0.0150753 + 0.00489826i
\(392\) 505761. + 367457.i 0.166238 + 0.120779i
\(393\) −119274. + 139857.i −0.0389552 + 0.0456775i
\(394\) −1.74736e6 + 5.37782e6i −0.567076 + 1.74528i
\(395\) −5.48380e6 −1.76843
\(396\) −1.90981e6 5.46544e6i −0.612003 1.75141i
\(397\) −715291. −0.227775 −0.113888 0.993494i \(-0.536330\pi\)
−0.113888 + 0.993494i \(0.536330\pi\)
\(398\) −710804. + 2.18763e6i −0.224927 + 0.692255i
\(399\) 2.19856e6 2.57796e6i 0.691362 0.810668i
\(400\) 2.99662e6 + 2.17717e6i 0.936445 + 0.680367i
\(401\) 2.04260e6 663680.i 0.634340 0.206109i 0.0258431 0.999666i \(-0.491773\pi\)
0.608496 + 0.793557i \(0.291773\pi\)
\(402\) 3.72099e6 + 6.06226e6i 1.14840 + 1.87098i
\(403\) −1.83363e6 + 2.52378e6i −0.562406 + 0.774085i
\(404\) 2.46912e6 1.79392e6i 0.752644 0.546828i
\(405\) −4.59480e6 + 3.35868e6i −1.39197 + 1.01749i
\(406\) 826135.i 0.248734i
\(407\) 4.52298e6 812042.i 1.35344 0.242992i
\(408\) −500399. + 120518.i −0.148822 + 0.0358428i
\(409\) −5.06194e6 1.64472e6i −1.49627 0.486166i −0.557339 0.830285i \(-0.688178\pi\)
−0.938926 + 0.344119i \(0.888178\pi\)
\(410\) −4.54675e6 6.25807e6i −1.33580 1.83857i
\(411\) 1.43829e6 3.47946e6i 0.419993 1.01603i
\(412\) −2.75940e6 8.49255e6i −0.800887 2.46488i
\(413\) −488597. 1.50375e6i −0.140953 0.433810i
\(414\) 136690. 871184.i 0.0391954 0.249809i
\(415\) 2.83187e6 + 3.89773e6i 0.807147 + 1.11094i
\(416\) 1.02602e6 + 333374.i 0.290685 + 0.0944493i
\(417\) 788944. + 3.27575e6i 0.222181 + 0.922508i
\(418\) 3.02452e6 6.25047e6i 0.846672 1.74973i
\(419\) 1.71145e6i 0.476244i 0.971235 + 0.238122i \(0.0765318\pi\)
−0.971235 + 0.238122i \(0.923468\pi\)
\(420\) −832612. + 1.06781e7i −0.230314 + 2.95374i
\(421\) 2.44833e6 1.77881e6i 0.673231 0.489131i −0.197874 0.980227i \(-0.563404\pi\)
0.871105 + 0.491097i \(0.163404\pi\)
\(422\) −843244. + 1.16063e6i −0.230501 + 0.317257i
\(423\) 460330. 461664.i 0.125089 0.125451i
\(424\) −6.69754e6 + 2.17616e6i −1.80926 + 0.587863i
\(425\) −629533. 457383.i −0.169062 0.122831i
\(426\) 986291. + 841139.i 0.263318 + 0.224566i
\(427\) −203068. + 624980.i −0.0538980 + 0.165881i
\(428\) 8.40370e6 2.21749
\(429\) −546115. + 2.50886e6i −0.143265 + 0.658163i
\(430\) −7.18093e6 −1.87288
\(431\) 511802. 1.57517e6i 0.132712 0.408444i −0.862515 0.506031i \(-0.831112\pi\)
0.995227 + 0.0975864i \(0.0311122\pi\)
\(432\) 526473. 2.21408e6i 0.135727 0.570800i
\(433\) 1.68879e6 + 1.22698e6i 0.432868 + 0.314497i 0.782795 0.622280i \(-0.213794\pi\)
−0.349927 + 0.936777i \(0.613794\pi\)
\(434\) −8.29650e6 + 2.69570e6i −2.11432 + 0.686984i
\(435\) −921723. + 565750.i −0.233549 + 0.143351i
\(436\) −729766. + 1.00444e6i −0.183852 + 0.253050i
\(437\) 555983. 403945.i 0.139270 0.101186i
\(438\) −2.18397e6 170292.i −0.543952 0.0424139i
\(439\) 5.32419e6i 1.31854i −0.751908 0.659268i \(-0.770866\pi\)
0.751908 0.659268i \(-0.229134\pi\)
\(440\) 1.78814e6 + 9.95974e6i 0.440322 + 2.45254i
\(441\) 517024. 264380.i 0.126594 0.0647340i
\(442\) 470937. + 153017.i 0.114659 + 0.0372548i
\(443\) 2.31158e6 + 3.18162e6i 0.559629 + 0.770263i 0.991279 0.131778i \(-0.0420685\pi\)
−0.431650 + 0.902041i \(0.642069\pi\)
\(444\) 9.79340e6 + 4.04826e6i 2.35763 + 0.974566i
\(445\) −2.08215e6 6.40821e6i −0.498440 1.53404i
\(446\) −1.04149e6 3.20538e6i −0.247924 0.763031i
\(447\) −6.70522e6 2.77171e6i −1.58725 0.656114i
\(448\) 3.13009e6 + 4.30820e6i 0.736821 + 1.01415i
\(449\) 5.15921e6 + 1.67633e6i 1.20772 + 0.392413i 0.842596 0.538546i \(-0.181026\pi\)
0.365126 + 0.930958i \(0.381026\pi\)
\(450\) 1.27500e7 6.51972e6i 2.96811 1.51774i
\(451\) 458547. 3.33807e6i 0.106156 0.772776i
\(452\) 5.51009e6i 1.26856i
\(453\) 926293. + 72226.5i 0.212082 + 0.0165368i
\(454\) 4.59350e6 3.33737e6i 1.04593 0.759915i
\(455\) 2.79201e6 3.84288e6i 0.632250 0.870218i
\(456\) 6.29123e6 3.86154e6i 1.41685 0.869657i
\(457\) −2.15486e6 + 700158.i −0.482647 + 0.156821i −0.540227 0.841519i \(-0.681662\pi\)
0.0575800 + 0.998341i \(0.481662\pi\)
\(458\) −206882. 150309.i −0.0460850 0.0334827i
\(459\) −110602. + 465136.i −0.0245037 + 0.103050i
\(460\) −671329. + 2.06614e6i −0.147925 + 0.455266i
\(461\) −94509.9 −0.0207121 −0.0103561 0.999946i \(-0.503296\pi\)
−0.0103561 + 0.999946i \(0.503296\pi\)
\(462\) −5.35921e6 + 4.77820e6i −1.16814 + 1.04150i
\(463\) −4.10098e6 −0.889068 −0.444534 0.895762i \(-0.646631\pi\)
−0.444534 + 0.895762i \(0.646631\pi\)
\(464\) 133635. 411287.i 0.0288155 0.0886851i
\(465\) 8.68918e6 + 7.41039e6i 1.86357 + 1.58931i
\(466\) −1.04315e6 757892.i −0.222526 0.161675i
\(467\) −2.01586e6 + 654993.i −0.427729 + 0.138977i −0.514967 0.857210i \(-0.672196\pi\)
0.0872384 + 0.996187i \(0.472196\pi\)
\(468\) −4.18081e6 + 4.19292e6i −0.882359 + 0.884917i
\(469\) 3.36916e6 4.63725e6i 0.707276 0.973483i
\(470\) −1.99975e6 + 1.45290e6i −0.417571 + 0.303383i
\(471\) 374949. 4.80867e6i 0.0778790 0.998786i
\(472\) 3.44484e6i 0.711729i
\(473\) −2.25677e6 2.16581e6i −0.463804 0.445110i
\(474\) −1.98500e6 8.24186e6i −0.405803 1.68492i
\(475\) 1.06138e7 + 3.44863e6i 2.15842 + 0.701313i
\(476\) 528845. + 727892.i 0.106982 + 0.147248i
\(477\) −1.01395e6 + 6.46236e6i −0.204043 + 1.30045i
\(478\) 4.98014e6 + 1.53273e7i 0.996947 + 3.06829i
\(479\) 1.03361e6 + 3.18114e6i 0.205835 + 0.633496i 0.999678 + 0.0253729i \(0.00807731\pi\)
−0.793843 + 0.608123i \(0.791923\pi\)
\(480\) 1.50869e6 3.64978e6i 0.298881 0.723041i
\(481\) −2.76245e6 3.80219e6i −0.544418 0.749327i
\(482\) −1.19373e7 3.87867e6i −2.34040 0.760441i
\(483\) −690857. + 166389.i −0.134747 + 0.0324531i
\(484\) −5.29718e6 + 7.95980e6i −1.02785 + 1.54450i
\(485\) 1.71060e6i 0.330212i
\(486\) −6.71113e6 5.68998e6i −1.28886 1.09275i
\(487\) −5.61963e6 + 4.08290e6i −1.07371 + 0.780094i −0.976575 0.215178i \(-0.930967\pi\)
−0.0971319 + 0.995272i \(0.530967\pi\)
\(488\) −841550. + 1.15829e6i −0.159967 + 0.220176i
\(489\) −2.80356e6 4.56757e6i −0.530197 0.863800i
\(490\) −2.09392e6 + 680357.i −0.393977 + 0.128011i
\(491\) 2.47432e6 + 1.79770e6i 0.463182 + 0.336522i 0.794778 0.606900i \(-0.207587\pi\)
−0.331596 + 0.943421i \(0.607587\pi\)
\(492\) 5.04203e6 5.91212e6i 0.939059 1.10111i
\(493\) −28074.2 + 86403.7i −0.00520225 + 0.0160109i
\(494\) −7.10164e6 −1.30931
\(495\) 9.00113e6 + 2.70711e6i 1.65114 + 0.496585i
\(496\) −4.56643e6 −0.833437
\(497\) 322786. 993434.i 0.0586171 0.180405i
\(498\) −4.83302e6 + 5.66704e6i −0.873263 + 1.02396i
\(499\) 3.48962e6 + 2.53536e6i 0.627374 + 0.455814i 0.855490 0.517820i \(-0.173256\pi\)
−0.228115 + 0.973634i \(0.573256\pi\)
\(500\) −1.65453e7 + 5.37589e6i −2.95971 + 0.961668i
\(501\) 1.86555e6 + 3.03936e6i 0.332057 + 0.540989i
\(502\) 394510. 542997.i 0.0698713 0.0961696i
\(503\) −1.10376e6 + 801926.i −0.194515 + 0.141324i −0.680780 0.732488i \(-0.738359\pi\)
0.486265 + 0.873811i \(0.338359\pi\)
\(504\) −7.53722e6 + 1.20496e6i −1.32171 + 0.211299i
\(505\) 4.95500e6i 0.864601i
\(506\) −1.28375e6 + 687713.i −0.222897 + 0.119407i
\(507\) −3.07400e6 + 740355.i −0.531110 + 0.127915i
\(508\) 1.98168e7 + 6.43887e6i 3.40702 + 1.10701i
\(509\) 1.04578e6 + 1.43939e6i 0.178915 + 0.246255i 0.889050 0.457810i \(-0.151366\pi\)
−0.710135 + 0.704066i \(0.751366\pi\)
\(510\) 692480. 1.67522e6i 0.117891 0.285198i
\(511\) 545489. + 1.67884e6i 0.0924131 + 0.284418i
\(512\) 2.04218e6 + 6.28518e6i 0.344286 + 1.05960i
\(513\) −552822. 6.83455e6i −0.0927453 1.14661i
\(514\) −3.22118e6 4.43358e6i −0.537784 0.740196i
\(515\) 1.37879e7 + 4.47995e6i 2.29076 + 0.744312i
\(516\) −1.68896e6 7.01267e6i −0.279251 1.15947i
\(517\) −1.06667e6 146527.i −0.175511 0.0241097i
\(518\) 1.31423e7i 2.15202i
\(519\) 908161. 1.16470e7i 0.147994 1.89800i
\(520\) 8.37255e6 6.08301e6i 1.35784 0.986530i
\(521\) −6.11192e6 + 8.41233e6i −0.986468 + 1.35776i −0.0531969 + 0.998584i \(0.516941\pi\)
−0.933271 + 0.359173i \(0.883059\pi\)
\(522\) −1.18394e6 1.18051e6i −0.190174 0.189625i
\(523\) −3.16332e6 + 1.02782e6i −0.505695 + 0.164310i −0.550743 0.834675i \(-0.685656\pi\)
0.0450486 + 0.998985i \(0.485656\pi\)
\(524\) 566341. + 411471.i 0.0901052 + 0.0654653i
\(525\) −8.78023e6 7.48804e6i −1.39030 1.18569i
\(526\) 3.13861e6 9.65966e6i 0.494622 1.52229i
\(527\) 959320. 0.150465
\(528\) −3.44098e6 + 1.51190e6i −0.537152 + 0.236014i
\(529\) 6.29221e6 0.977606
\(530\) 7.66405e6 2.35875e7i 1.18514 3.64748i
\(531\) −2.85321e6 1.44858e6i −0.439134 0.222950i
\(532\) −1.04393e7 7.58457e6i −1.59916 1.16185i
\(533\) −3.27736e6 + 1.06488e6i −0.499696 + 0.162361i
\(534\) 8.87752e6 5.44899e6i 1.34722 0.826919i
\(535\) −8.01952e6 + 1.10379e7i −1.21133 + 1.66726i
\(536\) 1.01033e7 7.34044e6i 1.51897 1.10360i
\(537\) 3.53653e6 + 275756.i 0.529227 + 0.0412657i
\(538\) 2.55300e6i 0.380272i
\(539\) −863263. 417721.i −0.127989 0.0619319i
\(540\) 1.41131e7 + 1.64518e7i 2.08275 + 2.42789i
\(541\) −2.05521e6 667778.i −0.301900 0.0980932i 0.154150 0.988047i \(-0.450736\pi\)
−0.456050 + 0.889954i \(0.650736\pi\)
\(542\) 4.00252e6 + 5.50899e6i 0.585241 + 0.805515i
\(543\) −2.73344e6 1.12991e6i −0.397842 0.164454i
\(544\) −102518. 315519.i −0.0148527 0.0457118i
\(545\) −622882. 1.91704e6i −0.0898286 0.276464i
\(546\) 6.78629e6 + 2.80522e6i 0.974206 + 0.402704i
\(547\) −1.35637e6 1.86689e6i −0.193826 0.266778i 0.701032 0.713130i \(-0.252723\pi\)
−0.894858 + 0.446352i \(0.852723\pi\)
\(548\) −1.36371e7 4.43097e6i −1.93986 0.630300i
\(549\) 605484. + 1.18409e6i 0.0857377 + 0.167669i
\(550\) −2.12884e7 1.03012e7i −3.00079 1.45204i
\(551\) 1.30295e6i 0.182831i
\(552\) −1.54354e6 120355.i −0.215610 0.0168119i
\(553\) −5.52673e6 + 4.01540e6i −0.768520 + 0.558363i
\(554\) −4.10563e6 + 5.65091e6i −0.568336 + 0.782247i
\(555\) −1.46629e7 + 9.00005e6i −2.02063 + 1.24026i
\(556\) 1.22042e7 3.96540e6i 1.67426 0.544001i
\(557\) −5.72045e6 4.15615e6i −0.781254 0.567614i 0.124101 0.992270i \(-0.460395\pi\)
−0.905355 + 0.424655i \(0.860395\pi\)
\(558\) −7.99216e6 + 1.57418e7i −1.08662 + 2.14027i
\(559\) −988548. + 3.04244e6i −0.133804 + 0.411806i
\(560\) 6.95315e6 0.936940
\(561\) 722884. 317621.i 0.0969754 0.0426091i
\(562\) 1.24452e7 1.66211
\(563\) −2.97741e6 + 9.16354e6i −0.395884 + 1.21841i 0.532387 + 0.846501i \(0.321295\pi\)
−0.928271 + 0.371905i \(0.878705\pi\)
\(564\) −1.88920e6 1.61117e6i −0.250081 0.213276i
\(565\) 7.23727e6 + 5.25819e6i 0.953792 + 0.692971i
\(566\) 1.82195e7 5.91988e6i 2.39054 0.776733i
\(567\) −2.17144e6 + 6.74943e6i −0.283655 + 0.881677i
\(568\) 1.33768e6 1.84116e6i 0.173973 0.239453i
\(569\) 9.87475e6 7.17443e6i 1.27863 0.928980i 0.279121 0.960256i \(-0.409957\pi\)
0.999511 + 0.0312754i \(0.00995691\pi\)
\(570\) −2.02098e6 + 2.59187e7i −0.260540 + 3.34138i
\(571\) 1.21484e7i 1.55930i −0.626217 0.779649i \(-0.715397\pi\)
0.626217 0.779649i \(-0.284603\pi\)
\(572\) 9.68769e6 + 1.33079e6i 1.23803 + 0.170067i
\(573\) −1.49557e6 6.20969e6i −0.190292 0.790103i
\(574\) −9.16470e6 2.97779e6i −1.16102 0.377237i
\(575\) −1.37579e6 1.89361e6i −0.173533 0.238848i
\(576\) 1.06469e7 + 1.67051e6i 1.33711 + 0.209793i
\(577\) 3.43440e6 + 1.05700e7i 0.429448 + 1.32171i 0.898670 + 0.438626i \(0.144535\pi\)
−0.469222 + 0.883080i \(0.655465\pi\)
\(578\) 4.14691e6 + 1.27629e7i 0.516303 + 1.58902i
\(579\) 2.10781e6 5.09914e6i 0.261298 0.632121i
\(580\) 2.42101e6 + 3.33223e6i 0.298832 + 0.411306i
\(581\) 5.70808e6 + 1.85467e6i 0.701536 + 0.227943i
\(582\) −2.57094e6 + 619195.i −0.314618 + 0.0757740i
\(583\) 9.52273e6 5.10139e6i 1.16035 0.621609i
\(584\) 3.84596e6i 0.466630i
\(585\) −1.51756e6 9.49256e6i −0.183339 1.14682i
\(586\) −1.63709e7 + 1.18941e7i −1.96937 + 1.43083i
\(587\) −1.84061e6 + 2.53338e6i −0.220478 + 0.303462i −0.904900 0.425624i \(-0.860055\pi\)
0.684422 + 0.729086i \(0.260055\pi\)
\(588\) −1.15691e6 1.88484e6i −0.137992 0.224818i
\(589\) −1.30850e7 + 4.25156e6i −1.55412 + 0.504964i
\(590\) 9.81509e6 + 7.13108e6i 1.16082 + 0.843384i
\(591\) 5.98386e6 7.01648e6i 0.704714 0.826324i
\(592\) 2.12589e6 6.54283e6i 0.249309 0.767293i
\(593\) −390659. −0.0456206 −0.0228103 0.999740i \(-0.507261\pi\)
−0.0228103 + 0.999740i \(0.507261\pi\)
\(594\) −810455. + 1.45081e7i −0.0942460 + 1.68712i
\(595\) −1.46072e6 −0.169152
\(596\) −8.53888e6 + 2.62800e7i −0.984657 + 3.03046i
\(597\) 2.43416e6 2.85421e6i 0.279520 0.327756i
\(598\) 1.20500e6 + 875483.i 0.137795 + 0.100114i
\(599\) 1.44025e7 4.67965e6i 1.64010 0.532901i 0.663540 0.748141i \(-0.269053\pi\)
0.976561 + 0.215240i \(0.0690533\pi\)
\(600\) −1.31520e7 2.14272e7i −1.49146 2.42990i
\(601\) −3.74592e6 + 5.15581e6i −0.423031 + 0.582252i −0.966336 0.257283i \(-0.917173\pi\)
0.543305 + 0.839535i \(0.317173\pi\)
\(602\) −7.23715e6 + 5.25810e6i −0.813910 + 0.591340i
\(603\) −1.83126e6 1.14548e7i −0.205095 1.28290i
\(604\) 3.53847e6i 0.394660i
\(605\) −5.39985e6 1.45535e7i −0.599782 1.61652i
\(606\) −7.44712e6 + 1.79359e6i −0.823771 + 0.198400i
\(607\) 1.40402e6 + 456194.i 0.154668 + 0.0502548i 0.385328 0.922780i \(-0.374088\pi\)
−0.230659 + 0.973035i \(0.574088\pi\)
\(608\) 2.79667e6 + 3.84928e6i 0.306819 + 0.422300i
\(609\) −514680. + 1.24509e6i −0.0562333 + 0.136038i
\(610\) −1.55815e6 4.79550e6i −0.169545 0.521807i
\(611\) 340278. + 1.04727e6i 0.0368749 + 0.113489i
\(612\) 1.79884e6 + 282240.i 0.194140 + 0.0304608i
\(613\) 8.15850e6 + 1.12292e7i 0.876918 + 1.20697i 0.977265 + 0.212022i \(0.0680049\pi\)
−0.100346 + 0.994953i \(0.531995\pi\)
\(614\) −2.08128e7 6.76249e6i −2.22797 0.723911i
\(615\) 2.95380e6 + 1.22643e7i 0.314914 + 1.30754i
\(616\) 9.09497e6 + 8.72839e6i 0.965717 + 0.926792i
\(617\) 2.43985e6i 0.258018i −0.991643 0.129009i \(-0.958820\pi\)
0.991643 0.129009i \(-0.0411796\pi\)
\(618\) −1.74225e6 + 2.23441e7i −0.183501 + 2.35338i
\(619\) 9.38770e6 6.82056e6i 0.984765 0.715474i 0.0259964 0.999662i \(-0.491724\pi\)
0.958768 + 0.284188i \(0.0917241\pi\)
\(620\) 2.55643e7 3.51862e7i 2.67088 3.67615i
\(621\) −748754. + 1.22783e6i −0.0779131 + 0.127764i
\(622\) 2.20876e7 7.17669e6i 2.28914 0.743786i
\(623\) −6.79074e6 4.93376e6i −0.700966 0.509282i
\(624\) 2.92475e6 + 2.49432e6i 0.300696 + 0.256442i
\(625\) 2.77429e6 8.53838e6i 0.284087 0.874331i
\(626\) 8.18568e6 0.834871
\(627\) −8.45237e6 + 7.53601e6i −0.858637 + 0.765548i
\(628\) −1.83693e7 −1.85863
\(629\) −446610. + 1.37452e6i −0.0450092 + 0.138524i
\(630\) 1.21694e7 2.39695e7i 1.22157 2.40606i
\(631\) −1.03709e7 7.53488e6i −1.03691 0.753360i −0.0672314 0.997737i \(-0.521417\pi\)
−0.969680 + 0.244377i \(0.921417\pi\)
\(632\) −1.41553e7 + 4.59932e6i −1.40970 + 0.458038i
\(633\) 1.99395e6 1.22388e6i 0.197790 0.121403i
\(634\) 1.53251e7 2.10932e7i 1.51419 2.08411i
\(635\) −2.73680e7 + 1.98840e7i −2.69345 + 1.95691i
\(636\) 2.48374e7 + 1.93666e6i 2.43480 + 0.189850i
\(637\) 980820.i 0.0957724i
\(638\) −375769. + 2.73547e6i −0.0365484 + 0.266060i
\(639\) −962443. 1.88216e6i −0.0932445 0.182350i
\(640\) −3.11505e7 1.01214e7i −3.00618 0.976769i
\(641\) −1.11350e7 1.53260e7i −1.07040 1.47328i −0.869671 0.493631i \(-0.835669\pi\)
−0.200728 0.979647i \(-0.564331\pi\)
\(642\) −1.94923e7 8.05746e6i −1.86649 0.771543i
\(643\) −4.60668e6 1.41779e7i −0.439401 1.35234i −0.888509 0.458859i \(-0.848258\pi\)
0.449108 0.893477i \(-0.351742\pi\)
\(644\) 836305. + 2.57388e6i 0.0794603 + 0.244554i
\(645\) 1.08226e7 + 4.47370e6i 1.02431 + 0.423416i
\(646\) 1.28365e6 + 1.76679e6i 0.121022 + 0.166573i
\(647\) 1.11214e7 + 3.61357e6i 1.04448 + 0.339371i 0.780499 0.625157i \(-0.214965\pi\)
0.263979 + 0.964528i \(0.414965\pi\)
\(648\) −9.04354e6 + 1.25234e7i −0.846060 + 1.17162i
\(649\) 933842. + 5.20139e6i 0.0870286 + 0.484739i
\(650\) 2.41874e7i 2.24546i
\(651\) 1.41833e7 + 1.10593e6i 1.31167 + 0.102276i
\(652\) −1.65128e7 + 1.19972e7i −1.52125 + 1.10525i
\(653\) 8.21505e6 1.13071e7i 0.753924 1.03769i −0.243771 0.969833i \(-0.578385\pi\)
0.997695 0.0678544i \(-0.0216153\pi\)
\(654\) 2.65574e6 1.63008e6i 0.242795 0.149027i
\(655\) −1.08090e6 + 351206.i −0.0984425 + 0.0319859i
\(656\) −4.08092e6 2.96496e6i −0.370253 0.269004i
\(657\) 3.18543e6 + 1.61726e6i 0.287909 + 0.146172i
\(658\) −951545. + 2.92855e6i −0.0856770 + 0.263687i
\(659\) 3.88498e6 0.348478 0.174239 0.984703i \(-0.444253\pi\)
0.174239 + 0.984703i \(0.444253\pi\)
\(660\) 7.61387e6 3.49783e7i 0.680371 3.12564i
\(661\) −8.87493e6 −0.790062 −0.395031 0.918668i \(-0.629266\pi\)
−0.395031 + 0.918668i \(0.629266\pi\)
\(662\) 1.20074e6 3.69551e6i 0.106489 0.327740i
\(663\) −614434. 524008.i −0.0542865 0.0462971i
\(664\) 1.05789e7 + 7.68606e6i 0.931156 + 0.676524i
\(665\) 1.99240e7 6.47371e6i 1.74712 0.567674i
\(666\) −1.88342e7 1.87798e7i −1.64537 1.64061i
\(667\) −160627. + 221084.i −0.0139799 + 0.0192416i
\(668\) 1.09880e7 7.98323e6i 0.952744 0.692209i
\(669\) −427278. + 5.47977e6i −0.0369101 + 0.473366i
\(670\) 4.39816e7i 3.78515i
\(671\) 956666. 1.97704e6i 0.0820264 0.169516i
\(672\) −1.15197e6 4.78306e6i −0.0984055 0.408586i
\(673\) 1.09499e7 + 3.55783e6i 0.931904 + 0.302794i 0.735341 0.677697i \(-0.237022\pi\)
0.196563 + 0.980491i \(0.437022\pi\)
\(674\) −7.48110e6 1.02968e7i −0.634330 0.873081i
\(675\) −2.32777e7 + 1.88285e6i −1.96644 + 0.159058i
\(676\) 3.72118e6 + 1.14526e7i 0.313195 + 0.963914i
\(677\) −1.54294e6 4.74869e6i −0.129383 0.398200i 0.865291 0.501270i \(-0.167134\pi\)
−0.994674 + 0.103069i \(0.967134\pi\)
\(678\) −5.28306e6 + 1.27806e7i −0.441379 + 1.06777i
\(679\) 1.25255e6 + 1.72399e6i 0.104261 + 0.143503i
\(680\) −3.02674e6 983449.i −0.251017 0.0815604i
\(681\) −9.00218e6 + 2.16812e6i −0.743840 + 0.179150i
\(682\) 2.86972e7 5.15221e6i 2.36254 0.424163i
\(683\) 5.47780e6i 0.449319i 0.974437 + 0.224659i \(0.0721269\pi\)
−0.974437 + 0.224659i \(0.927873\pi\)
\(684\) −2.57867e7 + 4.12248e6i −2.10744 + 0.336914i
\(685\) 1.88336e7 1.36834e7i 1.53358 1.11421i
\(686\) −1.29504e7 + 1.78248e7i −1.05069 + 1.44615i
\(687\) 218157. + 355422.i 0.0176351 + 0.0287311i
\(688\) −4.45353e6 + 1.44704e6i −0.358702 + 0.116549i
\(689\) −8.93857e6 6.49425e6i −0.717332 0.521172i
\(690\) 3.53815e6 4.14872e6i 0.282913 0.331735i
\(691\) −2.96672e6 + 9.13063e6i −0.236364 + 0.727454i 0.760573 + 0.649252i \(0.224918\pi\)
−0.996938 + 0.0782022i \(0.975082\pi\)
\(692\) −4.44920e7 −3.53197
\(693\) 1.10538e7 3.86260e6i 0.874339 0.305525i
\(694\) 2.68870e7 2.11907
\(695\) −6.43793e6 + 1.98139e7i −0.505573 + 1.55599i
\(696\) −1.90473e6 + 2.23343e6i −0.149043 + 0.174763i
\(697\) 857323. + 622882.i 0.0668440 + 0.0485650i
\(698\) 3.91342e7 1.27155e7i 3.04031 0.987858i
\(699\) 1.10000e6 + 1.79212e6i 0.0851528 + 0.138731i
\(700\) −2.58322e7 + 3.55549e7i −1.99258 + 2.74255i
\(701\) −7.59425e6 + 5.51755e6i −0.583700 + 0.424083i −0.840056 0.542499i \(-0.817478\pi\)
0.256356 + 0.966582i \(0.417478\pi\)
\(702\) 1.37175e7 5.71689e6i 1.05059 0.437842i
\(703\) 2.07276e7i 1.58183i
\(704\) −8.40465e6 1.56889e7i −0.639128 1.19305i
\(705\) 3.91903e6 943877.i 0.296966 0.0715225i
\(706\) 1.38477e7 + 4.49938e6i 1.04560 + 0.339735i
\(707\) 3.62821e6 + 4.99380e6i 0.272988 + 0.375736i
\(708\) −4.65547e6 + 1.12623e7i −0.349044 + 0.844395i
\(709\) −3.32598e6 1.02363e7i −0.248487 0.764765i −0.995043 0.0994424i \(-0.968294\pi\)
0.746556 0.665322i \(-0.231706\pi\)
\(710\) 2.47675e6 + 7.62267e6i 0.184390 + 0.567494i
\(711\) −2.14299e6 + 1.36582e7i −0.158981 + 1.01326i
\(712\) −1.07493e7 1.47951e7i −0.794656 1.09375i
\(713\) 2.74437e6 + 891700.i 0.202171 + 0.0656893i
\(714\) −528748. 2.19539e6i −0.0388153 0.161164i
\(715\) −1.09927e7 + 1.14544e7i −0.804158 + 0.837932i
\(716\) 1.35097e7i 0.984831i
\(717\) 2.04313e6 2.62029e7i 0.148422 1.90349i
\(718\) −1.25227e7 + 9.09828e6i −0.906540 + 0.658640i
\(719\) −2.98681e6 + 4.11100e6i −0.215470 + 0.296568i −0.903046 0.429543i \(-0.858675\pi\)
0.687577 + 0.726112i \(0.258675\pi\)
\(720\) 9.93578e6 9.96458e6i 0.714283 0.716354i
\(721\) 1.71762e7 5.58088e6i 1.23052 0.399820i
\(722\) −6.19096e6 4.49799e6i −0.441992 0.321126i
\(723\) 1.55747e7 + 1.32826e7i 1.10809 + 0.945011i
\(724\) −3.48095e6 + 1.07133e7i −0.246803 + 0.759582i
\(725\) −4.43771e6 −0.313555
\(726\) 1.99186e7 1.33837e7i 1.40255 0.942401i
\(727\) 1.40886e7 0.988629 0.494314 0.869283i \(-0.335419\pi\)
0.494314 + 0.869283i \(0.335419\pi\)
\(728\) 3.98393e6 1.22613e7i 0.278601 0.857447i
\(729\) 6.56971e6 + 1.27566e7i 0.457855 + 0.889027i
\(730\) −1.09579e7 7.96142e6i −0.761066 0.552947i
\(731\) 935602. 303996.i 0.0647586 0.0210414i
\(732\) 4.31666e6 2.64955e6i 0.297763 0.182766i
\(733\) 2.00607e6 2.76112e6i 0.137907 0.189813i −0.734477 0.678633i \(-0.762573\pi\)
0.872384 + 0.488820i \(0.162573\pi\)
\(734\) −8.77745e6 + 6.37719e6i −0.601352 + 0.436907i
\(735\) 3.57968e6 + 279121.i 0.244414 + 0.0190578i
\(736\) 997912.i 0.0679044i
\(737\) −1.32651e7 + 1.38222e7i −0.899583 + 0.937365i
\(738\) −1.73635e7 + 8.87880e6i −1.17353 + 0.600086i
\(739\) −2.24982e7 7.31012e6i −1.51544 0.492395i −0.570960 0.820978i \(-0.693429\pi\)
−0.944475 + 0.328583i \(0.893429\pi\)
\(740\) 3.85138e7 + 5.30097e7i 2.58546 + 3.55857i
\(741\) 1.07031e7 + 4.42430e6i 0.716084 + 0.296005i
\(742\) −9.54745e6 2.93840e7i −0.636616 1.95930i
\(743\) −3.78094e6 1.16365e7i −0.251263 0.773307i −0.994543 0.104327i \(-0.966731\pi\)
0.743280 0.668980i \(-0.233269\pi\)
\(744\) 2.86445e7 + 1.18407e7i 1.89718 + 0.784230i
\(745\) −2.63691e7 3.62940e7i −1.74063 2.39577i
\(746\) 1.10177e7 + 3.57987e6i 0.724844 + 0.235516i
\(747\) 1.08145e7 5.53001e6i 0.709099 0.362597i
\(748\) −1.42001e6 2.65072e6i −0.0927976 0.173224i
\(749\) 1.69965e7i 1.10702i
\(750\) 4.35310e7 + 3.39427e6i 2.82583 + 0.220340i
\(751\) 5.82098e6 4.22919e6i 0.376614 0.273626i −0.383334 0.923610i \(-0.625224\pi\)
0.759948 + 0.649984i \(0.225224\pi\)
\(752\) −947444. + 1.30405e6i −0.0610955 + 0.0840907i
\(753\) −932864. + 572589.i −0.0599557 + 0.0368006i
\(754\) 2.68572e6 872642.i 0.172041 0.0558995i
\(755\) 4.64763e6 + 3.37670e6i 0.296732 + 0.215588i
\(756\) 2.62701e7 + 6.24661e6i 1.67170 + 0.397502i
\(757\) −4.24655e6 + 1.30695e7i −0.269338 + 0.828936i 0.721325 + 0.692597i \(0.243534\pi\)
−0.990662 + 0.136339i \(0.956466\pi\)
\(758\) 3.09086e7 1.95392
\(759\) 2.36322e6 236703.i 0.148902 0.0149142i
\(760\) 4.56428e7 2.86641
\(761\) 4.19040e6 1.28967e7i 0.262298 0.807269i −0.730006 0.683441i \(-0.760483\pi\)
0.992304 0.123828i \(-0.0395172\pi\)
\(762\) −3.97913e7 3.39352e7i −2.48256 2.11720i
\(763\) −2.03147e6 1.47595e6i −0.126328 0.0917826i
\(764\) −2.31351e7 + 7.51704e6i −1.43396 + 0.465922i
\(765\) −2.08732e6 + 2.09337e6i −0.128954 + 0.129328i
\(766\) −1.82839e6 + 2.51657e6i −0.112589 + 0.154966i
\(767\) 4.37249e6 3.17680e6i 0.268374 0.194985i
\(768\) 2.21640e6 2.84250e7i 0.135596 1.73899i
\(769\)