Properties

Label 33.6.f.a.2.17
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 2.17
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.17

$q$-expansion

\(f(q)\) \(=\) \(q+(2.95379 - 9.09083i) q^{2} +(14.4062 - 5.95502i) q^{3} +(-48.0298 - 34.8957i) q^{4} +(-91.6682 + 29.7848i) q^{5} +(-11.5833 - 148.554i) q^{6} +(70.5766 - 97.1403i) q^{7} +(-211.641 + 153.766i) q^{8} +(172.075 - 171.578i) q^{9} +O(q^{10})\) \(q+(2.95379 - 9.09083i) q^{2} +(14.4062 - 5.95502i) q^{3} +(-48.0298 - 34.8957i) q^{4} +(-91.6682 + 29.7848i) q^{5} +(-11.5833 - 148.554i) q^{6} +(70.5766 - 97.1403i) q^{7} +(-211.641 + 153.766i) q^{8} +(172.075 - 171.578i) 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} +(-1143.22 + 974.971i) q^{15} +(185.656 + 571.392i) q^{16} +(39.0029 + 120.038i) q^{17} +(-1051.51 - 2071.12i) 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} +(-2133.26 + 3475.51i) q^{24} +(4987.75 - 3623.81i) q^{25} +(2306.01 - 3173.95i) q^{26} +(1457.20 - 3496.50i) q^{27} +(-6779.56 + 2202.81i) q^{28} +(582.330 + 423.088i) q^{29} +(5486.47 + 13272.7i) q^{30} +(-2348.72 + 7228.62i) q^{31} -2628.48 q^{32} +(2278.86 - 5825.99i) q^{33} +1206.46 q^{34} +(-3576.32 + 11006.8i) q^{35} +(-14252.1 + 2236.17i) q^{36} +(-9263.80 - 6730.55i) q^{37} +(16455.9 - 5346.83i) q^{38} +(6378.69 - 497.370i) q^{39} +(14820.9 - 20399.2i) q^{40} +(6792.51 - 4935.05i) q^{41} +(-15248.1 - 9359.23i) 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} +(6077.25 + 7125.98i) q^{48} +(738.460 + 2272.75i) q^{49} +(-18210.7 - 56046.8i) q^{50} +(1276.71 + 1497.03i) 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} +(24048.8 + 14761.1i) q^{57} +(5566.30 - 4044.16i) q^{58} +(-7740.08 + 10653.3i) q^{59} +(88930.9 - 6934.27i) q^{60} +(-5205.04 + 1691.22i) q^{61} +(58776.6 + 42703.7i) q^{62} +(-4522.66 - 28824.9i) q^{63} +(-13705.0 + 42179.6i) q^{64} -39560.1 q^{65} +(-46231.8 - 37925.5i) q^{66} +47737.6 q^{67} +(2315.53 - 7126.46i) q^{68} +(2260.84 + 5469.35i) q^{69} +(89497.2 + 65023.5i) q^{70} +(-8273.65 + 2688.27i) q^{71} +(-10035.3 + 62772.5i) q^{72} +(-8641.33 + 11893.8i) q^{73} +(-88549.6 + 64335.1i) q^{74} +(50274.5 - 81907.4i) 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} +(170.914 - 59048.8i) q^{81} +(-24800.0 - 76326.7i) q^{82} +(-15446.3 - 47538.8i) q^{83} +(-84549.7 + 72106.6i) 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} +(158078. + 158536. i) q^{90} +(39869.8 - 28967.1i) q^{91} +(13248.3 - 18234.7i) q^{92} +(9210.52 + 118123. i) q^{93} +(-24390.0 + 7924.78i) q^{94} +(-141152. - 102553. i) q^{95} +(-37866.4 + 15652.7i) q^{96} +(-5484.25 + 16878.8i) q^{97} +22842.4 q^{98} +(-1864.22 - 97500.9i) 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 \(-0.579675\pi\)
0.769862 0.638211i \(-0.220325\pi\)
\(3\) 14.4062 5.95502i 0.924156 0.382015i
\(4\) −48.0298 34.8957i −1.50093 1.09049i
\(5\) −91.6682 + 29.7848i −1.63981 + 0.532807i −0.976496 0.215534i \(-0.930851\pi\)
−0.663315 + 0.748341i \(0.730851\pi\)
\(6\) −11.5833 148.554i −0.131357 1.68464i
\(7\) 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
\(9\) 172.075 171.578i 0.708129 0.706083i
\(10\) 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
\(15\) −1143.22 + 974.971i −1.31190 + 1.11883i
\(16\) 185.656 + 571.392i 0.181305 + 0.558000i
\(17\) 39.0029 + 120.038i 0.0327321 + 0.100739i 0.966088 0.258214i \(-0.0831339\pi\)
−0.933356 + 0.358953i \(0.883134\pi\)
\(18\) −1051.51 2071.12i −0.764951 1.50669i
\(19\) 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 \(0.0238393\pi\)
−0.997197 + 0.0748234i \(0.976161\pi\)
\(24\) −2133.26 + 3475.51i −0.755989 + 1.23166i
\(25\) 4987.75 3623.81i 1.59608 1.15962i
\(26\) 2306.01 3173.95i 0.669002 0.920802i
\(27\) 1457.20 3496.50i 0.384688 0.923047i
\(28\) −6779.56 + 2202.81i −1.63421 + 0.530986i
\(29\) 582.330 + 423.088i 0.128580 + 0.0934190i 0.650217 0.759749i \(-0.274678\pi\)
−0.521636 + 0.853168i \(0.674678\pi\)
\(30\) 5486.47 + 13272.7i 1.11299 + 2.69250i
\(31\) −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
\(33\) 2278.86 5825.99i 0.364278 0.931290i
\(34\) 1206.46 0.178984
\(35\) −3576.32 + 11006.8i −0.493477 + 1.51876i
\(36\) −14252.1 + 2236.17i −1.83283 + 0.287574i
\(37\) −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
\(39\) 6378.69 497.370i 0.671537 0.0523622i
\(40\) 14820.9 20399.2i 1.46462 2.01587i
\(41\) 6792.51 4935.05i 0.631060 0.458492i −0.225707 0.974195i \(-0.572469\pi\)
0.856767 + 0.515703i \(0.172469\pi\)
\(42\) −15248.1 9359.23i −1.33380 0.818685i
\(43\) 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 0.753771 0.657137i \(-0.228233\pi\)
−0.857903 + 0.513812i \(0.828233\pi\)
\(48\) 6077.25 + 7125.98i 0.380718 + 0.446418i
\(49\) 738.460 + 2272.75i 0.0439376 + 0.135226i
\(50\) −18210.7 56046.8i −1.03015 3.17048i
\(51\) 1276.71 + 1497.03i 0.0687334 + 0.0805945i
\(52\) −14322.4 19713.1i −0.734528 1.01099i
\(53\) 25601.9 + 8318.56i 1.25194 + 0.406779i 0.858615 0.512622i \(-0.171326\pi\)
0.393322 + 0.919401i \(0.371326\pi\)
\(54\) −27481.8 23575.1i −1.28251 1.10019i
\(55\) −16848.2 + 34818.6i −0.751014 + 1.55204i
\(56\) 31411.2i 1.33849i
\(57\) 24048.8 + 14761.1i 0.980406 + 0.601770i
\(58\) 5566.30 4044.16i 0.217269 0.157855i
\(59\) −7740.08 + 10653.3i −0.289478 + 0.398432i −0.928844 0.370470i \(-0.879197\pi\)
0.639367 + 0.768902i \(0.279197\pi\)
\(60\) 88930.9 6934.27i 3.18915 0.248670i
\(61\) −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
\(63\) −4522.66 28824.9i −0.143563 0.914989i
\(64\) −13705.0 + 42179.6i −0.418243 + 1.28722i
\(65\) −39560.1 −1.16138
\(66\) −46231.8 37925.5i −1.30642 1.07170i
\(67\) 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
\(69\) 2260.84 + 5469.35i 0.0571673 + 0.138297i
\(70\) 89497.2 + 65023.5i 2.18305 + 1.58608i
\(71\) −8273.65 + 2688.27i −0.194783 + 0.0632889i −0.404784 0.914412i \(-0.632653\pi\)
0.210001 + 0.977701i \(0.432653\pi\)
\(72\) −10035.3 + 62772.5i −0.228139 + 1.42705i
\(73\) −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
\(75\) 50274.5 81907.4i 1.03204 1.68140i
\(76\) 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
\(81\) 170.914 59048.8i 0.00289445 0.999996i
\(82\) −24800.0 76326.7i −0.407303 1.25355i
\(83\) −15446.3 47538.8i −0.246110 0.757448i −0.995452 0.0952652i \(-0.969630\pi\)
0.749342 0.662183i \(-0.230370\pi\)
\(84\) −84549.7 + 72106.6i −1.30742 + 1.11500i
\(85\) −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 \(0.154935\pi\)
−0.883861 + 0.467749i \(0.845065\pi\)
\(90\) 158078. + 158536.i 2.05715 + 2.06311i
\(91\) 39869.8 28967.1i 0.504708 0.366692i
\(92\) 13248.3 18234.7i 0.163189 0.224610i
\(93\) 9210.52 + 118123.i 0.110427 + 1.41621i
\(94\) −24390.0 + 7924.78i −0.284703 + 0.0925055i
\(95\) −141152. 102553.i −1.60464 1.16584i
\(96\) −37866.4 + 15652.7i −0.419349 + 0.173345i
\(97\) −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
\(99\) −1864.22 97500.9i −0.0191165 0.999817i
\(100\) −366016. −3.66016
\(101\) 15886.0 48892.0i 0.154957 0.476908i −0.843200 0.537600i \(-0.819331\pi\)
0.998157 + 0.0606925i \(0.0193309\pi\)
\(102\) 17380.4 7184.47i 0.165409 0.0683745i
\(103\) 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
\(105\) 14024.6 + 179863.i 0.124141 + 1.59209i
\(106\) 151245. 208171.i 1.30743 1.79952i
\(107\) 114518. 83202.4i 0.966975 0.702549i 0.0122150 0.999925i \(-0.496112\pi\)
0.954760 + 0.297377i \(0.0961117\pi\)
\(108\) −192002. + 117086.i −1.58397 + 0.965932i
\(109\) 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 0.559313 0.828957i \(-0.311065\pi\)
−0.961222 + 0.275777i \(0.911065\pi\)
\(114\) 205225. 175022.i 1.47900 1.26134i
\(115\) −11307.9 34802.1i −0.0797328 0.245392i
\(116\) −13205.3 40641.7i −0.0911177 0.280431i
\(117\) 88930.6 45150.4i 0.600602 0.304928i
\(118\) 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
\(123\) 68465.7 111545.i 0.408047 0.664792i
\(124\) 365057. 265229.i 2.13209 1.54906i
\(125\) −172240. + 237067.i −0.985957 + 1.35705i
\(126\) −275401. 44027.9i −1.54539 0.247059i
\(127\) −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
\(129\) 46414.5 + 112284.i 0.245573 + 0.594080i
\(130\) −116852. + 359634.i −0.606427 + 1.86639i
\(131\) 11791.4 0.0600328 0.0300164 0.999549i \(-0.490444\pi\)
0.0300164 + 0.999549i \(0.490444\pi\)
\(132\) −312756. + 200299.i −1.56232 + 1.00056i
\(133\) 217349. 1.06544
\(134\) 141007. 433975.i 0.678389 2.08787i
\(135\) −29436.2 + 363920.i −0.139010 + 1.71859i
\(136\) −26712.5 19407.8i −0.123842 0.0899764i
\(137\) −229704. + 74635.5i −1.04561 + 0.339738i −0.780942 0.624603i \(-0.785261\pi\)
−0.264663 + 0.964341i \(0.585261\pi\)
\(138\) 56399.0 4397.64i 0.252100 0.0196572i
\(139\) −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
\(141\) −35643.8 21878.0i −0.150986 0.0926745i
\(142\) 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
\(147\) 24172.6 + 28344.0i 0.0922636 + 0.108185i
\(148\) 210072. + 646534.i 0.788339 + 2.42626i
\(149\) 143829. + 442661.i 0.530740 + 1.63345i 0.752679 + 0.658388i \(0.228761\pi\)
−0.221939 + 0.975061i \(0.571239\pi\)
\(150\) −596106. 698974.i −2.16319 2.53649i
\(151\) 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
\(156\) −323724. 198700.i −1.06503 0.653713i
\(157\) 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
\(159\) 418363. 32621.3i 1.31238 0.102331i
\(160\) 240948. 78288.9i 0.744088 0.241769i
\(161\) 36879.6 + 26794.6i 0.112130 + 0.0814672i
\(162\) −536298. 175971.i −1.60553 0.526811i
\(163\) 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
\(165\) −35373.3 + 601934.i −0.101150 + 1.72123i
\(166\) −477792. −1.34576
\(167\) 70695.0 217577.i 0.196154 0.603700i −0.803807 0.594890i \(-0.797196\pi\)
0.999961 0.00881022i \(-0.00280442\pi\)
\(168\) 187054. + 452515.i 0.511322 + 1.23697i
\(169\) −164098. 119224.i −0.441963 0.321105i
\(170\) −110594. + 35934.1i −0.293500 + 0.0953639i
\(171\) 434353. + 69439.3i 1.13593 + 0.181600i
\(172\) 271984. 374354.i 0.701006 0.964852i
\(173\) −606298. + 440501.i −1.54018 + 1.11900i −0.589953 + 0.807438i \(0.700854\pi\)
−0.950224 + 0.311567i \(0.899146\pi\)
\(174\) 56106.1 91408.2i 0.140487 0.228882i
\(175\) 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 0.623993 0.781430i \(-0.285509\pi\)
−0.936009 + 0.351977i \(0.885509\pi\)
\(180\) 1.23986e6 629482.i 2.85228 1.44811i
\(181\) −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
\(183\) −64913.5 + 55360.2i −0.143287 + 0.122200i
\(184\) −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
\(189\) −236807. 388323.i −0.482214 0.790749i
\(190\) −1.34922e6 + 980269.i −2.71144 + 1.96998i
\(191\) −240841. + 331489.i −0.477690 + 0.657484i −0.978059 0.208328i \(-0.933198\pi\)
0.500369 + 0.865812i \(0.333198\pi\)
\(192\) 53744.2 + 689261.i 0.105215 + 1.34937i
\(193\) 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
\(195\) −569909. + 235581.i −1.07329 + 0.443664i
\(196\) 43841.0 134929.i 0.0815155 0.250879i
\(197\) −591565. −1.08602 −0.543009 0.839727i \(-0.682715\pi\)
−0.543009 + 0.839727i \(0.682715\pi\)
\(198\) −891871. 271050.i −1.61674 0.491345i
\(199\) 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
\(201\) 687716. 284279.i 1.20066 0.496311i
\(202\) −397545. 288834.i −0.685501 0.498046i
\(203\) 82197.7 26707.7i 0.139997 0.0454879i
\(204\) −9080.35 116454.i −0.0152766 0.195920i
\(205\) −475668. + 654701.i −0.790531 + 1.08807i
\(206\) 1.16314e6 845073.i 1.90970 1.38748i
\(207\) 65140.2 + 65329.0i 0.105663 + 0.105969i
\(208\) 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
\(213\) −103183. + 87997.5i −0.155833 + 0.132899i
\(214\) −418116. 1.28683e6i −0.624112 1.92082i
\(215\) −232148. 714479.i −0.342507 1.05413i
\(216\) 229241. + 964071.i 0.334316 + 1.40597i
\(217\) 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
\(222\) −892544. + 1.45414e6i −1.21548 + 1.98026i
\(223\) −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
\(225\) 236502. 1.47936e6i 0.311443 1.94813i
\(226\) −843740. + 274148.i −1.09885 + 0.357037i
\(227\) 480558. + 349146.i 0.618987 + 0.449720i 0.852568 0.522617i \(-0.175044\pi\)
−0.233581 + 0.972337i \(0.575044\pi\)
\(228\) −639961. 1.54817e6i −0.815298 1.97234i
\(229\) −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
\(231\) −405104. 632548.i −0.499502 0.779944i
\(232\) −188302. −0.229686
\(233\) 41684.4 128291.i 0.0503019 0.154813i −0.922750 0.385398i \(-0.874064\pi\)
0.973052 + 0.230585i \(0.0740640\pi\)
\(234\) −147773. 941819.i −0.176423 1.12442i
\(235\) 209208. + 151998.i 0.247120 + 0.179543i
\(236\) 743509. 241581.i 0.868973 0.282347i
\(237\) −884210. + 68945.1i −1.02255 + 0.0797320i
\(238\) 85147.5 117196.i 0.0974383 0.134112i
\(239\) −1.36402e6 + 991016.i −1.54463 + 1.12224i −0.597287 + 0.802028i \(0.703754\pi\)
−0.947346 + 0.320213i \(0.896246\pi\)
\(240\) −769336. 472216.i −0.862160 0.529191i
\(241\) 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
\(246\) −811801. 951890.i −0.855287 1.00288i
\(247\) 229585. + 706590.i 0.239443 + 0.736928i
\(248\) −614433. 1.89103e6i −0.634374 1.95240i
\(249\) −505616. 592869.i −0.516800 0.605983i
\(250\) 1.64638e6 + 2.26605e6i 1.66602 + 2.29308i
\(251\) 66780.3 + 21698.2i 0.0669058 + 0.0217390i 0.342279 0.939598i \(-0.388801\pi\)
−0.275373 + 0.961338i \(0.588801\pi\)
\(252\) −788642. + 1.54227e6i −0.782309 + 1.52989i
\(253\) 109927. + 105496.i 0.107970 + 0.103618i
\(254\) 3.35483e6i 3.26277i
\(255\) −161623. 99203.6i −0.155651 0.0955381i
\(256\) 1.47969e6 1.07506e6i 1.41115 1.02526i
\(257\) 336991. 463828.i 0.318262 0.438051i −0.619673 0.784860i \(-0.712735\pi\)
0.937936 + 0.346809i \(0.112735\pi\)
\(258\) 1.15786e6 90282.4i 1.08294 0.0844411i
\(259\) −1.30761e6 + 424870.i −1.21124 + 0.393556i
\(260\) 1.90006e6 + 1.38048e6i 1.74315 + 1.26647i
\(261\) 172797. 27112.1i 0.157013 0.0246355i
\(262\) 34829.5 107194.i 0.0313468 0.0964756i
\(263\) 1.06257e6 0.947259 0.473629 0.880724i \(-0.342944\pi\)
0.473629 + 0.880724i \(0.342944\pi\)
\(264\) 413540. + 1.58343e6i 0.365181 + 1.39827i
\(265\) −2.59465e6 −2.26967
\(266\) 642005. 1.97589e6i 0.556332 1.71221i
\(267\) 416295. + 1.00709e6i 0.357374 + 0.864546i
\(268\) −2.29283e6 1.66584e6i −1.95000 1.41676i
\(269\) 254015. 82534.4i 0.214032 0.0695432i −0.200039 0.979788i \(-0.564107\pi\)
0.414070 + 0.910245i \(0.364107\pi\)
\(270\) 3.22139e6 + 1.34254e6i 2.68926 + 1.12078i
\(271\) 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
\(273\) 401871. 654731.i 0.326348 0.531687i
\(274\) 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
\(279\) 836116. + 1.64686e6i 0.643067 + 1.26662i
\(280\) −935577. 2.87941e6i −0.713156 2.19487i
\(281\) 402333. + 1.23825e6i 0.303962 + 0.935500i 0.980062 + 0.198690i \(0.0636688\pi\)
−0.676100 + 0.736810i \(0.736331\pi\)
\(282\) −304174. + 259409.i −0.227771 + 0.194250i
\(283\) −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
\(288\) −452297. + 450990.i −0.321324 + 0.320395i
\(289\) 1.13580e6 825207.i 0.799940 0.581190i
\(290\) −389799. + 536512.i −0.272173 + 0.374614i
\(291\) 21506.5 + 275818.i 0.0148880 + 0.190937i
\(292\) 830083. 269710.i 0.569724 0.185115i
\(293\) −1.71267e6 1.24433e6i −1.16548 0.846772i −0.175021 0.984565i \(-0.555999\pi\)
−0.990461 + 0.137793i \(0.955999\pi\)
\(294\) 329072. 136027.i 0.222035 0.0917819i
\(295\) 392213. 1.20711e6i 0.262402 0.807589i
\(296\) 2.99554e6 1.98722
\(297\) −607476. 1.39351e6i −0.399612 0.916685i
\(298\) 4.44900e6 2.90216
\(299\) −48152.0 + 148197.i −0.0311484 + 0.0958650i
\(300\) −5.27289e6 + 2.17964e6i −3.38256 + 1.39824i
\(301\) 757130. + 550087.i 0.481675 + 0.349957i
\(302\) 541833. 176052.i 0.341860 0.111077i
\(303\) −62296.9 798948.i −0.0389816 0.499933i
\(304\) −639238. + 879836.i −0.396715 + 0.546032i
\(305\) 426764. 310063.i 0.262687 0.190853i
\(306\) 207601. 207001.i 0.126744 0.126378i
\(307\) 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 \(0.0523096\pi\)
−0.149264 + 0.988797i \(0.547690\pi\)
\(312\) −1.27352e6 + 1.08609e6i −0.740658 + 0.631656i
\(313\) −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
\(315\) 1.27313e6 + 2.50762e6i 0.722928 + 1.42392i
\(316\) 1.98537e6 + 2.73262e6i 1.11847 + 1.53944i
\(317\) 2.59415e6 + 842889.i 1.44993 + 0.471110i 0.924977 0.380023i \(-0.124084\pi\)
0.524950 + 0.851133i \(0.324084\pi\)
\(318\) 939201. 3.89962e6i 0.520824 2.16249i
\(319\) 284318. 51045.6i 0.156433 0.0280855i
\(320\) 4.27473e6i 2.33364i
\(321\) 1.15430e6 1.88059e6i 0.625252 1.01866i
\(322\) 352520. 256121.i 0.189472 0.137659i
\(323\) −134292. + 184837.i −0.0716215 + 0.0985785i
\(324\) −2.06876e6 + 2.83014e6i −1.09483 + 1.49777i
\(325\) 2.40657e6 781941.i 1.26383 0.410644i
\(326\) −2.65867e6 1.93164e6i −1.38554 1.00666i
\(327\) −124536. 301273.i −0.0644058 0.155808i
\(328\) −678731. + 2.08892e6i −0.348348 + 1.07210i
\(329\) −322143. −0.164081
\(330\) 5.36759e6 + 2.09956e6i 2.71328 + 1.06131i
\(331\) −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
\(333\) −2.74889e6 + 431304.i −1.35846 + 0.213144i
\(334\) −1.76914e6 1.28535e6i −0.867751 0.630458i
\(335\) −4.37602e6 + 1.42186e6i −2.13043 + 0.692219i
\(336\) 1.12113e6 87418.7i 0.541761 0.0422431i
\(337\) −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
\(339\) −1.23305e6 756843.i −0.582749 0.357690i
\(340\) 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
\(345\) −370151. 434027.i −0.167429 0.196322i
\(346\) 2.21365e6 + 6.81290e6i 0.994072 + 3.05944i
\(347\) 869217. + 2.67517e6i 0.387529 + 1.19269i 0.934629 + 0.355625i \(0.115732\pi\)
−0.547100 + 0.837067i \(0.684268\pi\)
\(348\) −432260. 506853.i −0.191336 0.224354i
\(349\) −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 \(0.105471\pi\)
−0.945605 + 0.325316i \(0.894529\pi\)
\(354\) 1.67225e6 + 1.02642e6i 0.709238 + 0.435328i
\(355\) 678361. 492858.i 0.285687 0.207564i
\(356\) 2.43944e6 3.35760e6i 1.02015 1.40412i
\(357\) 235528. 18365.0i 0.0978075 0.00762641i
\(358\) −2.06868e6 + 672156.i −0.853074 + 0.277181i
\(359\) −1.31009e6 951835.i −0.536494 0.389786i 0.286287 0.958144i \(-0.407579\pi\)
−0.822781 + 0.568358i \(0.807579\pi\)
\(360\) −949745. 6.05314e6i −0.386234 2.46164i
\(361\) −247392. + 761393.i −0.0999119 + 0.307497i
\(362\) −1.81367e6 −0.727424
\(363\) −1.05365e6 2.27873e6i −0.419691 0.907667i
\(364\) −2.92577e6 −1.15741
\(365\) 437881. 1.34766e6i 0.172038 0.529479i
\(366\) 311529. + 753640.i 0.121562 + 0.294077i
\(367\) 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
\(369\) 322078. 2.01465e6i 0.123139 0.770252i
\(370\) 6.20098e6 8.53491e6i 2.35481 3.24112i
\(371\) 2.61496e6 1.89988e6i 0.986349 0.716624i
\(372\) 3.67962e6 5.99486e6i 1.37863 2.24606i
\(373\) 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
\(378\) −4.22966e6 + 1.00575e6i −1.52257 + 0.362042i
\(379\) −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
\(381\) −4.16285e6 + 3.55020e6i −1.46919 + 1.25297i
\(382\) 2.30212e6 + 3.16859e6i 0.807177 + 1.11098i
\(383\) −309499. 100562.i −0.107811 0.0350299i 0.254615 0.967043i \(-0.418051\pi\)
−0.362426 + 0.932013i \(0.618051\pi\)
\(384\) 5.14998e6 + 1.24034e6i 1.78229 + 0.429254i
\(385\) 2.19320e6 + 4.09402e6i 0.754094 + 1.40766i
\(386\) 3.38334e6i 1.15579i
\(387\) 1.33731e6 + 1.34119e6i 0.453895 + 0.455210i
\(388\) 852405. 619309.i 0.287453 0.208847i
\(389\) 2.67594e6 3.68311e6i 0.896606 1.23407i −0.0749317 0.997189i \(-0.523874\pi\)
0.971538 0.236884i \(-0.0761261\pi\)
\(390\) 458236. + 5.87681e6i 0.152555 + 1.95650i
\(391\) −45573.0 + 14807.6i −0.0150753 + 0.00489826i
\(392\) −505761. 367457.i −0.166238 0.120779i
\(393\) 169870. 70218.3i 0.0554797 0.0229334i
\(394\) −1.74736e6 + 5.37782e6i −0.567076 + 1.74528i
\(395\) 5.48380e6 1.76843
\(396\) −3.31283e6 + 4.74801e6i −1.06160 + 1.52150i
\(397\) −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
\(399\) 3.13117e6 1.29432e6i 0.984634 0.407014i
\(400\) 2.99662e6 + 2.17717e6i 0.936445 + 0.680367i
\(401\) −2.04260e6 + 663680.i −0.634340 + 0.206109i −0.608496 0.793557i \(-0.708227\pi\)
−0.0258431 + 0.999666i \(0.508227\pi\)
\(402\) −552959. 7.09161e6i −0.170658 2.18867i
\(403\) −1.83363e6 + 2.52378e6i −0.562406 + 0.774085i
\(404\) −2.46912e6 + 1.79392e6i −0.752644 + 0.546828i
\(405\) 1.74309e6 + 5.41798e6i 0.528058 + 1.64135i
\(406\) 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
\(411\) −2.86470e6 + 2.44311e6i −0.836518 + 0.713407i
\(412\) −2.75940e6 8.49255e6i −0.800887 2.46488i
\(413\) 488597. + 1.50375e6i 0.140953 + 0.433810i
\(414\) 786305. 399210.i 0.225471 0.114472i
\(415\) 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 \(-0.923468\pi\)
0.971235 0.238122i \(-0.0765318\pi\)
\(420\) 5.60284e6 9.12818e6i 1.54983 2.52500i
\(421\) 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
\(423\) −643774. 102919.i −0.174937 0.0279670i
\(424\) −6.69754e6 + 2.17616e6i −1.80926 + 0.587863i
\(425\) 629533. + 457383.i 0.169062 + 0.122831i
\(426\) 495190. + 1.19794e6i 0.132205 + 0.319825i
\(427\) −203068. + 624980.i −0.0538980 + 0.165881i
\(428\) −8.40370e6 −2.21749
\(429\) 1.62847e6 1.98513e6i 0.427204 0.520769i
\(430\) −7.18093e6 −1.87288
\(431\) −511802. + 1.57517e6i −0.132712 + 0.408444i −0.995227 0.0975864i \(-0.968888\pi\)
0.862515 + 0.506031i \(0.168888\pi\)
\(432\) 2.26841e6 + 183483.i 0.584805 + 0.0473028i
\(433\) 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
\(435\) −1.07823e6 + 84073.5i −0.273205 + 0.0213028i
\(436\) −729766. + 1.00444e6i −0.183852 + 0.253050i
\(437\) −555983. + 403945.i −0.139270 + 0.101186i
\(438\) 1.86696e6 + 1.14593e6i 0.464997 + 0.285414i
\(439\) 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 0.431650 0.902041i \(-0.357931\pi\)
−0.991279 + 0.131778i \(0.957931\pi\)
\(444\) 6.87645e6 + 8.06310e6i 1.65542 + 1.94109i
\(445\) −2.08215e6 6.40821e6i −0.498440 1.53404i
\(446\) 1.04149e6 + 3.20538e6i 0.247924 + 0.763031i
\(447\) 4.70808e6 + 5.52054e6i 1.11449 + 1.30681i
\(448\) 3.13009e6 + 4.30820e6i 0.736821 + 1.01415i
\(449\) −5.15921e6 1.67633e6i −1.20772 0.392413i −0.365126 0.930958i \(-0.618974\pi\)
−0.842596 + 0.538546i \(0.818974\pi\)
\(450\) −1.27500e7 6.51972e6i −2.96811 1.51774i
\(451\) 458547. 3.33807e6i 0.106156 0.772776i
\(452\) 5.51009e6i 1.26856i
\(453\) 791841. + 486029.i 0.181298 + 0.111280i
\(454\) 4.59350e6 3.33737e6i 1.04593 0.759915i
\(455\) −2.79201e6 + 3.84288e6i −0.632250 + 0.870218i
\(456\) −7.35947e6 + 573845.i −1.65743 + 0.129236i
\(457\) −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
\(459\) 476549. + 38546.3i 0.105579 + 0.00853987i
\(460\) −671329. + 2.06614e6i −0.147925 + 0.455266i
\(461\) 94509.9 0.0207121 0.0103561 0.999946i \(-0.496704\pi\)
0.0103561 + 0.999946i \(0.496704\pi\)
\(462\) −6.94698e6 + 1.81432e6i −1.51423 + 0.395466i
\(463\) −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
\(465\) −4.36260e6 1.05538e7i −0.935649 2.26349i
\(466\) −1.04315e6 757892.i −0.222526 0.161675i
\(467\) 2.01586e6 654993.i 0.427729 0.138977i −0.0872384 0.996187i \(-0.527804\pi\)
0.514967 + 0.857210i \(0.327804\pi\)
\(468\) −5.84688e6 934731.i −1.23398 0.197275i
\(469\) 3.36916e6 4.63725e6i 0.707276 0.973483i
\(470\) 1.99975e6 1.45290e6i 0.417571 0.303383i
\(471\) 2.52312e6 4.11068e6i 0.524066 0.853811i
\(472\) 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
\(477\) 5.83274e6 2.96130e6i 1.17375 0.595919i
\(478\) 4.98014e6 + 1.53273e7i 0.996947 + 3.06829i
\(479\) −1.03361e6 3.18114e6i −0.205835 0.633496i −0.999678 0.0253729i \(-0.991923\pi\)
0.793843 0.608123i \(-0.208077\pi\)
\(480\) 3.00493e6 2.56270e6i 0.595294 0.507685i
\(481\) −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
\(486\) −8.77391e6 + 658589.i −1.68501 + 0.126481i
\(487\) −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
\(489\) −416624. 5.34313e6i −0.0787901 1.01047i
\(490\) −2.09392e6 + 680357.i −0.393977 + 0.128011i
\(491\) −2.47432e6 1.79770e6i −0.463182 0.336522i 0.331596 0.943421i \(-0.392413\pi\)
−0.794778 + 0.606900i \(0.792413\pi\)
\(492\) −7.18083e6 + 2.96831e6i −1.33740 + 0.552837i
\(493\) −28074.2 + 86403.7i −0.00520225 + 0.0160109i
\(494\) 7.10164e6 1.30931
\(495\) 3.07494e6 + 8.88221e6i 0.564057 + 1.62933i
\(496\) −4.56643e6 −0.833437
\(497\) −322786. + 993434.i −0.0586171 + 0.180405i
\(498\) −6.88316e6 + 2.84526e6i −1.24370 + 0.514102i
\(499\) 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
\(501\) −277231. 3.55544e6i −0.0493454 0.632847i
\(502\) 394510. 542997.i 0.0698713 0.0961696i
\(503\) 1.10376e6 801926.i 0.194515 0.141324i −0.486265 0.873811i \(-0.661641\pi\)
0.680780 + 0.732488i \(0.261641\pi\)
\(504\) 5.38948e6 + 5.40510e6i 0.945084 + 0.947823i
\(505\) 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 0.710135 0.704066i \(-0.248634\pi\)
−0.889050 + 0.457810i \(0.848634\pi\)
\(510\) −1.37924e6 + 1.17626e6i −0.234809 + 0.200252i
\(511\) 545489. + 1.67884e6i 0.0924131 + 0.284418i
\(512\) −2.04218e6 6.28518e6i −0.344286 1.05960i
\(513\) 6.67088e6 1.58623e6i 1.11915 0.266117i
\(514\) −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
\(519\) −6.11123e6 + 9.95645e6i −0.995888 + 1.62251i
\(520\) 8.37255e6 6.08301e6i 1.35784 0.986530i
\(521\) 6.11192e6 8.41233e6i 0.986468 1.35776i 0.0531969 0.998584i \(-0.483059\pi\)
0.933271 0.359173i \(-0.116941\pi\)
\(522\) 263935. 1.65096e6i 0.0423957 0.265191i
\(523\) −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
\(525\) −4.40831e6 1.06644e7i −0.698030 1.68865i
\(526\) 3.13861e6 9.65966e6i 0.494622 1.52229i
\(527\) −959320. −0.150465
\(528\) 3.75201e6 + 220491.i 0.585705 + 0.0344196i
\(529\) 6.29221e6 0.977606
\(530\) −7.66405e6 + 2.35875e7i −1.18514 + 3.64748i
\(531\) 495996. + 3.16120e6i 0.0763382 + 0.486537i
\(532\) −1.04393e7 7.58457e6i −1.59916 1.16185i
\(533\) 3.27736e6 1.06488e6i 0.499696 0.162361i
\(534\) 1.03849e7 809748.i 1.57597 0.122884i
\(535\) −8.01952e6 + 1.10379e7i −1.21133 + 1.66726i
\(536\) −1.01033e7 + 7.34044e6i −1.51897 + 1.10360i
\(537\) −3.02320e6 1.85563e6i −0.452409 0.277687i
\(538\) 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
\(543\) −1.91929e6 2.25050e6i −0.279345 0.327551i
\(544\) −102518. 315519.i −0.0148527 0.0457118i
\(545\) 622882. + 1.91704e6i 0.0898286 + 0.276464i
\(546\) −4.76500e6 5.58728e6i −0.684040 0.802083i
\(547\) −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
\(552\) −1.31949e6 809899.i −0.184314 0.113131i
\(553\) −5.52673e6 + 4.01540e6i −0.768520 + 0.558363i
\(554\) 4.10563e6 5.65091e6i 0.568336 0.782247i
\(555\) 1.71526e7 1.33745e6i 2.36373 0.184309i
\(556\) 1.22042e7 3.96540e6i 1.67426 0.544001i
\(557\) 5.72045e6 + 4.15615e6i 0.781254 + 0.567614i 0.905355 0.424655i \(-0.139605\pi\)
−0.124101 + 0.992270i \(0.539605\pi\)
\(558\) 1.74410e7 2.73652e6i 2.37130 0.372060i
\(559\) −988548. + 3.04244e6i −0.133804 + 0.411806i
\(560\) −6.95315e6 −0.936940
\(561\) 788225. + 46320.9i 0.105741 + 0.00621398i
\(562\) 1.24452e7 1.66211
\(563\) 2.97741e6 9.16354e6i 0.395884 1.21841i −0.532387 0.846501i \(-0.678705\pi\)
0.928271 0.371905i \(-0.121295\pi\)
\(564\) 948515. + 2.29461e6i 0.125559 + 0.303747i
\(565\) 7.23727e6 + 5.25819e6i 0.953792 + 0.692971i
\(566\) −1.82195e7 + 5.91988e6i −2.39054 + 0.776733i
\(567\) −5.72395e6 4.18406e6i −0.747719 0.546563i
\(568\) 1.33768e6 1.84116e6i 0.173973 0.239453i
\(569\) −9.87475e6 + 7.17443e6i −1.27863 + 0.928980i −0.999511 0.0312754i \(-0.990043\pi\)
−0.279121 + 0.960256i \(0.590043\pi\)
\(570\) −1.35996e7 + 2.21566e7i −1.75323 + 2.85638i
\(571\) 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
\(576\) 4.87881e6 + 9.60956e6i 0.612714 + 1.20683i
\(577\) 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
\(579\) 4.19822e6 3.58037e6i 0.520438 0.443845i
\(580\) 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
\(585\) −6.80732e6 + 6.78764e6i −0.822406 + 0.820029i
\(586\) −1.63709e7 + 1.18941e7i −1.96937 + 1.43083i
\(587\) 1.84061e6 2.53338e6i 0.220478 0.303462i −0.684422 0.729086i \(-0.739945\pi\)
0.904900 + 0.425624i \(0.139945\pi\)
\(588\) −171923. 2.20488e6i −0.0205064 0.262991i
\(589\) −1.30850e7 + 4.25156e6i −1.55412 + 0.504964i
\(590\) −9.81509e6 7.13108e6i −1.16082 0.843384i
\(591\) −8.52218e6 + 3.52278e6i −1.00365 + 0.414875i
\(592\) 2.12589e6 6.54283e6i 0.249309 0.767293i
\(593\) 390659. 0.0456206 0.0228103 0.999740i \(-0.492739\pi\)
0.0228103 + 0.999740i \(0.492739\pi\)
\(594\) −1.44626e7 + 1.40632e6i −1.68182 + 0.163538i
\(595\) −1.46072e6 −0.169152
\(596\) 8.53888e6 2.62800e7i 0.984657 3.03046i
\(597\) 3.46672e6 1.43302e6i 0.398091 0.164557i
\(598\) 1.20500e6 + 875483.i 0.137795 + 0.100114i
\(599\) −1.44025e7 + 4.67965e6i −1.64010 + 0.532901i −0.976561 0.215240i \(-0.930947\pi\)
−0.663540 + 0.748141i \(0.730947\pi\)
\(600\) 1.95445e6 + 2.50655e7i 0.221639 + 2.84249i
\(601\) −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
\(603\) 8.21447e6 8.19073e6i 0.919997 0.917338i
\(604\) 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
\(609\) 1.02511e6 874244.i 0.112002 0.0955190i
\(610\) −1.55815e6 4.79550e6i −0.169545 0.521807i
\(611\) −340278. 1.04727e6i −0.0368749 0.113489i
\(612\) −824299. 1.62358e6i −0.0889624 0.175225i
\(613\) 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 \(0.0411796\pi\)
−0.991643 + 0.129009i \(0.958820\pi\)
\(618\) 1.17240e7 1.91008e7i 1.23482 2.01178i
\(619\) 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
\(621\) 1.32746e6 + 553229.i 0.138131 + 0.0575674i
\(622\) 2.20876e7 7.17669e6i 2.28914 0.743786i
\(623\) 6.79074e6 + 4.93376e6i 0.700966 + 0.509282i
\(624\) 1.46844e6 + 3.55239e6i 0.150971 + 0.365224i
\(625\) 2.77429e6 8.53838e6i 0.284087 0.874331i
\(626\) −8.18568e6 −0.834871
\(627\) 1.09565e7 2.86149e6i 1.11302 0.290685i
\(628\) −1.83693e7 −1.85863
\(629\) 446610. 1.37452e6i 0.0450092 0.138524i
\(630\) 2.65569e7 4.16681e6i 2.66579 0.418266i
\(631\) −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
\(633\) 2.33251e6 181875.i 0.231374 0.0180411i
\(634\) 1.53251e7 2.10932e7i 1.51419 2.08411i
\(635\) 2.73680e7 1.98840e7i 2.69345 1.95691i
\(636\) −2.12322e7 1.30323e7i −2.08139 1.27755i
\(637\) 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 \(0.164331\pi\)
0.200728 + 0.979647i \(0.435669\pi\)
\(642\) −1.36865e7 1.60484e7i −1.31056 1.53672i
\(643\) −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
\(645\) −7.59911e6 8.91046e6i −0.719223 0.843336i
\(646\) 1.28365e6 + 1.76679e6i 0.121022 + 0.166573i
\(647\) −1.11214e7 3.61357e6i −1.04448 0.339371i −0.263979 0.964528i \(-0.585035\pi\)
−0.780499 + 0.625157i \(0.785035\pi\)
\(648\) 9.04354e6 + 1.25234e7i 0.846060 + 1.17162i
\(649\) 933842. + 5.20139e6i 0.0870286 + 0.484739i
\(650\) 2.41874e7i 2.24546i
\(651\) 1.21246e7 + 7.44204e6i 1.12128 + 0.688239i
\(652\) −1.65128e7 + 1.19972e7i −1.52125 + 1.10525i
\(653\) −8.21505e6 + 1.13071e7i −0.753924 + 1.03769i 0.243771 + 0.969833i \(0.421615\pi\)
−0.997695 + 0.0678544i \(0.978385\pi\)
\(654\) −3.10667e6 + 242239.i −0.284022 + 0.0221462i
\(655\) −1.08090e6 + 351206.i −0.0984425 + 0.0319859i
\(656\) 4.08092e6 + 2.96496e6i 0.370253 + 0.269004i
\(657\) 553750. + 3.52929e6i 0.0500495 + 0.318987i
\(658\) −951545. + 2.92855e6i −0.0856770 + 0.263687i
\(659\) −3.88498e6 −0.348478 −0.174239 0.984703i \(-0.555747\pi\)
−0.174239 + 0.984703i \(0.555747\pi\)
\(660\) 2.27039e7 2.76764e7i 2.02881 2.47315i
\(661\) −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
\(663\) 308491. + 746289.i 0.0272558 + 0.0659361i
\(664\) 1.05789e7 + 7.68606e6i 0.931156 + 0.676524i
\(665\) −1.99240e7 + 6.47371e6i −1.74712 + 0.567674i
\(666\) −4.19873e6 + 2.62637e7i −0.366802 + 2.29440i
\(667\) −160627. + 221084.i −0.0139799 + 0.0192416i
\(668\) −1.09880e7 + 7.98323e6i −0.952744 + 0.692209i
\(669\) −2.87525e6 + 4.68438e6i −0.248377 + 0.404657i
\(670\) 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
\(675\) −5.40251e6 2.27203e7i −0.456390 1.91935i
\(676\) 3.72118e6 + 1.14526e7i 0.313195 + 0.963914i
\(677\) 1.54294e6 + 4.74869e6i 0.129383 + 0.398200i 0.994674 0.103069i \(-0.0328664\pi\)
−0.865291 + 0.501270i \(0.832866\pi\)
\(678\) −1.05225e7 + 8.97391e6i −0.879113 + 0.749734i
\(679\) 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 \(-0.927873\pi\)
0.974437 0.224659i \(-0.0721269\pi\)
\(684\) −1.84388e7 1.84922e7i −1.50693 1.51129i
\(685\) 1.88336e7 1.36834e7i 1.53358 1.11421i
\(686\) 1.29504e7 1.78248e7i 1.05069 1.44615i
\(687\) 32419.3 + 415772.i 0.00262066 + 0.0336096i
\(688\) −4.45353e6 + 1.44704e6i −0.358702 + 0.116549i
\(689\) 8.93857e6 + 6.49425e6i 0.717332 + 0.521172i
\(690\) −5.03901e6 + 2.08296e6i −0.402924 + 0.166555i
\(691\) −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
\(693\) −9.60284e6 6.70019e6i −0.759568 0.529973i
\(694\) 2.68870e7 2.11907
\(695\) 6.43793e6 1.98139e7i 0.505573 1.55599i
\(696\) −2.71271e6 + 1.12134e6i −0.212266 + 0.0877435i
\(697\) 857323. + 622882.i 0.0668440 + 0.0485650i
\(698\) −3.91342e7 + 1.27155e7i −3.04031 + 0.987858i
\(699\) −163466. 2.09642e6i −0.0126542 0.162288i
\(700\) −2.58322e7 + 3.55549e7i −1.99258 + 2.74255i
\(701\) 7.59425e6 5.51755e6i 0.583700 0.424083i −0.256356 0.966582i \(-0.582522\pi\)
0.840056 + 0.542499i \(0.182522\pi\)
\(702\) −7.73739e6 1.26880e7i −0.592586 0.971741i
\(703\) 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
\(708\) 9.27250e6 7.90787e6i 0.695207 0.592893i
\(709\) −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
\(711\) −1.23275e7 + 6.25873e6i −0.914538 + 0.464314i
\(712\) −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
\(717\) −1.37487e7 + 2.23995e7i −0.998769 + 1.62720i
\(718\) −1.25227e7 + 9.09828e6i −0.906540 + 0.658640i
\(719\) 2.98681e6 4.11100e6i 0.215470 0.296568i −0.687577 0.726112i \(-0.741325\pi\)
0.903046 + 0.429543i \(0.141325\pi\)
\(720\) −1.38952e7 2.22141e6i −0.998930 0.159697i
\(721\) 1.71762e7 5.58088e6i 1.23052 0.399820i
\(722\) 6.19096e6 + 4.49799e6i 0.441992 + 0.321126i
\(723\) 7.81964e6 + 1.89170e7i 0.556341 + 1.34588i
\(724\) −3.48095e6 + 1.07133e7i −0.246803 + 0.759582i
\(725\) 4.43771e6 0.313555
\(726\) −2.38278e7 + 2.84767e6i −1.67781 + 0.200515i
\(727\) 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
\(729\) −1.01021e7 1.01902e7i −0.704030 0.710170i
\(730\) −1.09579e7 7.96142e6i −0.761066 0.552947i
\(731\) −935602. + 303996.i −0.0647586 + 0.0210414i
\(732\) 5.04962e6 393737.i 0.348322 0.0271599i
\(733\) 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
\(735\) −3.06008e6 1.87827e6i −0.208937 0.128245i
\(736\) 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
\(741\) 7.51520e6 + 8.81207e6i 0.502800 + 0.589566i
\(742\) −9.54745e6 2.93840e7i −0.636616 1.95930i
\(743\) 3.78094e6 + 1.16365e7i 0.251263 + 0.773307i 0.994543 + 0.104327i \(0.0332688\pi\)
−0.743280 + 0.668980i \(0.766731\pi\)
\(744\) −2.01128e7 2.35835e7i −1.33211 1.56198i
\(745\) −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
\(750\) 3.72124e7 + 2.28408e7i 2.41565 + 1.48272i
\(751\) 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
\(753\) 1.09126e6 85089.7i 0.0701361 0.00546877i
\(754\) 2.68572e6 872642.i 0.172041 0.0558995i
\(755\) −4.64763e6 3.37670e6i −0.296732 0.215588i
\(756\) −2.17703e6 + 2.69146e7i −0.138535 + 1.71271i
\(757\) −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
\(759\) 2.21186e6 + 865178.i 0.139365 + 0.0545131i
\(760\) 4.56428e7 2.86641
\(761\) −4.19040e6 + 1.28967e7i −0.262298 + 0.807269i 0.730006 + 0.683441i \(0.239517\pi\)
−0.992304 + 0.123828i \(0.960483\pi\)
\(762\) 1.99781e7 + 4.83303e7i 1.24643 + 3.01531i
\(763\) −2.03147e6 1.47595e6i −0.126328 0.0917826i
\(764\) 2.31351e7 7.51704e6i 1.43396 0.465922i
\(765\) −2.91913e6 466676.i −0.180343 0.0288311i
\(766\) −1.82839e6 + 2.51657e6i −0.112589 + 0.154966i
\(767\) −4.37249e6 + 3.17680e6i −0.268374 + 0.194985i
\(768\) 1.49147e7 2.42991e7i 0.912455 1.48658i
\(769\)