Properties

Label 43.7.f.a.22.18
Level 43
Weight 7
Character 43.22
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 22.18
Character \(\chi\) \(=\) 43.22
Dual form 43.7.f.a.2.18

$q$-expansion

\(f(q)\) \(=\) \(q+(4.32423 - 8.97936i) q^{2} +(20.4277 + 42.4185i) q^{3} +(-22.0266 - 27.6205i) q^{4} +(-183.723 + 41.9336i) q^{5} +469.225 q^{6} +28.9921i q^{7} +(278.591 - 63.5867i) q^{8} +(-927.514 + 1163.07i) q^{9} +O(q^{10})\) \(q+(4.32423 - 8.97936i) q^{2} +(20.4277 + 42.4185i) q^{3} +(-22.0266 - 27.6205i) q^{4} +(-183.723 + 41.9336i) q^{5} +469.225 q^{6} +28.9921i q^{7} +(278.591 - 63.5867i) q^{8} +(-927.514 + 1163.07i) q^{9} +(-417.925 + 1831.05i) q^{10} +(-675.300 + 846.799i) q^{11} +(721.666 - 1498.56i) q^{12} +(485.731 + 2128.13i) q^{13} +(260.330 + 125.368i) q^{14} +(-5531.80 - 6936.66i) q^{15} +(1136.84 - 4980.83i) q^{16} +(-1870.59 + 8195.58i) q^{17} +(6432.80 + 13357.8i) q^{18} +(6873.88 - 5481.74i) q^{19} +(5205.02 + 4150.87i) q^{20} +(-1229.80 + 592.240i) q^{21} +(4683.56 + 9725.51i) q^{22} +(7550.77 - 9468.37i) q^{23} +(8388.22 + 10518.5i) q^{24} +(17918.2 - 8628.94i) q^{25} +(21209.6 + 4840.96i) q^{26} +(-34820.9 - 7947.65i) q^{27} +(800.774 - 638.596i) q^{28} +(10457.7 - 21715.6i) q^{29} +(-86207.5 + 19676.3i) q^{30} +(-19566.6 - 9422.77i) q^{31} +(-25510.3 - 20343.8i) q^{32} +(-49714.7 - 11347.1i) q^{33} +(65502.2 + 52236.3i) q^{34} +(-1215.74 - 5326.52i) q^{35} +52554.4 q^{36} +17326.4i q^{37} +(-19498.2 - 85427.3i) q^{38} +(-80349.5 + 64076.6i) q^{39} +(-48517.3 + 23364.7i) q^{40} +(9818.61 + 4728.39i) q^{41} +13603.8i q^{42} +(58367.1 - 53987.4i) q^{43} +38263.5 q^{44} +(121634. - 252576. i) q^{45} +(-52368.6 - 108745. i) q^{46} +(84120.6 + 105484. i) q^{47} +(234502. - 53523.7i) q^{48} +116808. q^{49} -198207. i q^{50} +(-385856. + 88069.1i) q^{51} +(48080.8 - 60291.4i) q^{52} +(-40587.3 + 177825. i) q^{53} +(-221939. + 278302. i) q^{54} +(88558.9 - 183894. i) q^{55} +(1843.51 + 8076.94i) q^{56} +(372944. + 179600. i) q^{57} +(-149771. - 187807. i) q^{58} +(-70625.6 + 309431. i) q^{59} +(-69747.0 + 305582. i) q^{60} +(-29853.3 - 61991.0i) q^{61} +(-169221. + 134949. i) q^{62} +(-33719.7 - 26890.5i) q^{63} +(1604.25 - 772.564i) q^{64} +(-178480. - 370618. i) q^{65} +(-316867. + 397339. i) q^{66} +(-235227. - 294966. i) q^{67} +(267568. - 128854. i) q^{68} +(555878. + 126876. i) q^{69} +(-53085.9 - 12116.5i) q^{70} +(385247. - 307224. i) q^{71} +(-184442. + 382998. i) q^{72} +(-244490. + 55803.3i) q^{73} +(155580. + 74923.6i) q^{74} +(732053. + 583793. i) q^{75} +(-302816. - 69115.8i) q^{76} +(-24550.4 - 19578.3i) q^{77} +(227917. + 998569. i) q^{78} +419267. q^{79} +962767. i q^{80} +(-132865. - 582120. i) q^{81} +(84915.9 - 67718.2i) q^{82} +(-553608. + 266603. i) q^{83} +(43446.2 + 20922.6i) q^{84} -1.58416e6i q^{85} +(-232380. - 757554. i) q^{86} +1.13477e6 q^{87} +(-134288. + 278851. i) q^{88} +(50594.2 + 105060. i) q^{89} +(-1.74200e6 - 2.18440e6i) q^{90} +(-61698.7 + 14082.3i) q^{91} -427838. q^{92} -1.02247e6i q^{93} +(1.31094e6 - 299212. i) q^{94} +(-1.03302e6 + 1.29537e6i) q^{95} +(341837. - 1.49768e6i) q^{96} +(-292721. + 367061. i) q^{97} +(505107. - 1.04887e6i) q^{98} +(-358533. - 1.57084e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.32423 8.97936i 0.540529 1.12242i −0.434568 0.900639i \(-0.643099\pi\)
0.975097 0.221781i \(-0.0711869\pi\)
\(3\) 20.4277 + 42.4185i 0.756580 + 1.57105i 0.819529 + 0.573038i \(0.194235\pi\)
−0.0629486 + 0.998017i \(0.520050\pi\)
\(4\) −22.0266 27.6205i −0.344165 0.431570i
\(5\) −183.723 + 41.9336i −1.46979 + 0.335469i −0.881114 0.472903i \(-0.843206\pi\)
−0.588672 + 0.808372i \(0.700349\pi\)
\(6\) 469.225 2.17234
\(7\) 28.9921i 0.0845250i 0.999107 + 0.0422625i \(0.0134566\pi\)
−0.999107 + 0.0422625i \(0.986543\pi\)
\(8\) 278.591 63.5867i 0.544124 0.124193i
\(9\) −927.514 + 1163.07i −1.27231 + 1.59543i
\(10\) −417.925 + 1831.05i −0.417925 + 1.83105i
\(11\) −675.300 + 846.799i −0.507363 + 0.636213i −0.967872 0.251442i \(-0.919095\pi\)
0.460510 + 0.887655i \(0.347667\pi\)
\(12\) 721.666 1498.56i 0.417631 0.867220i
\(13\) 485.731 + 2128.13i 0.221088 + 0.968650i 0.956661 + 0.291205i \(0.0940560\pi\)
−0.735573 + 0.677446i \(0.763087\pi\)
\(14\) 260.330 + 125.368i 0.0948725 + 0.0456882i
\(15\) −5531.80 6936.66i −1.63905 2.05531i
\(16\) 1136.84 4980.83i 0.277550 1.21602i
\(17\) −1870.59 + 8195.58i −0.380743 + 1.66814i 0.314416 + 0.949285i \(0.398191\pi\)
−0.695158 + 0.718857i \(0.744666\pi\)
\(18\) 6432.80 + 13357.8i 1.10302 + 2.29044i
\(19\) 6873.88 5481.74i 1.00217 0.799203i 0.0224845 0.999747i \(-0.492842\pi\)
0.979685 + 0.200544i \(0.0642709\pi\)
\(20\) 5205.02 + 4150.87i 0.650628 + 0.518858i
\(21\) −1229.80 + 592.240i −0.132793 + 0.0639499i
\(22\) 4683.56 + 9725.51i 0.439854 + 0.913365i
\(23\) 7550.77 9468.37i 0.620594 0.778201i −0.367834 0.929892i \(-0.619900\pi\)
0.988428 + 0.151691i \(0.0484718\pi\)
\(24\) 8388.22 + 10518.5i 0.606787 + 0.760887i
\(25\) 17918.2 8628.94i 1.14676 0.552252i
\(26\) 21209.6 + 4840.96i 1.20674 + 0.275430i
\(27\) −34820.9 7947.65i −1.76909 0.403782i
\(28\) 800.774 638.596i 0.0364784 0.0290906i
\(29\) 10457.7 21715.6i 0.428788 0.890387i −0.568899 0.822407i \(-0.692630\pi\)
0.997687 0.0679796i \(-0.0216553\pi\)
\(30\) −86207.5 + 19676.3i −3.19287 + 0.728752i
\(31\) −19566.6 9422.77i −0.656795 0.316296i 0.0756373 0.997135i \(-0.475901\pi\)
−0.732433 + 0.680839i \(0.761615\pi\)
\(32\) −25510.3 20343.8i −0.778513 0.620843i
\(33\) −49714.7 11347.1i −1.38339 0.315749i
\(34\) 65502.2 + 52236.3i 1.66655 + 1.32903i
\(35\) −1215.74 5326.52i −0.0283555 0.124234i
\(36\) 52554.4 1.12642
\(37\) 17326.4i 0.342062i 0.985266 + 0.171031i \(0.0547098\pi\)
−0.985266 + 0.171031i \(0.945290\pi\)
\(38\) −19498.2 85427.3i −0.355340 1.55685i
\(39\) −80349.5 + 64076.6i −1.35453 + 1.08020i
\(40\) −48517.3 + 23364.7i −0.758083 + 0.365073i
\(41\) 9818.61 + 4728.39i 0.142462 + 0.0686060i 0.503757 0.863846i \(-0.331951\pi\)
−0.361295 + 0.932452i \(0.617665\pi\)
\(42\) 13603.8i 0.183617i
\(43\) 58367.1 53987.4i 0.734113 0.679027i
\(44\) 38263.5 0.449187
\(45\) 121634. 252576.i 1.33481 2.77176i
\(46\) −52368.6 108745.i −0.538019 1.11721i
\(47\) 84120.6 + 105484.i 0.810231 + 1.01600i 0.999420 + 0.0340568i \(0.0108427\pi\)
−0.189189 + 0.981941i \(0.560586\pi\)
\(48\) 234502. 53523.7i 2.12043 0.483974i
\(49\) 116808. 0.992856
\(50\) 198207.i 1.58566i
\(51\) −385856. + 88069.1i −2.90880 + 0.663916i
\(52\) 48080.8 60291.4i 0.341949 0.428791i
\(53\) −40587.3 + 177825.i −0.272623 + 1.19444i 0.634281 + 0.773103i \(0.281296\pi\)
−0.906904 + 0.421337i \(0.861561\pi\)
\(54\) −221939. + 278302.i −1.40946 + 1.76740i
\(55\) 88558.9 183894.i 0.532285 1.10530i
\(56\) 1843.51 + 8076.94i 0.0104974 + 0.0459920i
\(57\) 372944. + 179600.i 2.01381 + 0.969801i
\(58\) −149771. 187807.i −0.767616 0.962560i
\(59\) −70625.6 + 309431.i −0.343879 + 1.50663i 0.446928 + 0.894570i \(0.352518\pi\)
−0.790808 + 0.612064i \(0.790339\pi\)
\(60\) −69747.0 + 305582.i −0.322903 + 1.41473i
\(61\) −29853.3 61991.0i −0.131523 0.273111i 0.824799 0.565427i \(-0.191288\pi\)
−0.956322 + 0.292316i \(0.905574\pi\)
\(62\) −169221. + 134949.i −0.710034 + 0.566233i
\(63\) −33719.7 26890.5i −0.134853 0.107542i
\(64\) 1604.25 772.564i 0.00611971 0.00294710i
\(65\) −178480. 370618.i −0.649905 1.34954i
\(66\) −316867. + 397339.i −1.10216 + 1.38207i
\(67\) −235227. 294966.i −0.782102 0.980725i −0.999989 0.00475081i \(-0.998488\pi\)
0.217887 0.975974i \(-0.430084\pi\)
\(68\) 267568. 128854.i 0.850958 0.409800i
\(69\) 555878. + 126876.i 1.69213 + 0.386217i
\(70\) −53085.9 12116.5i −0.154769 0.0353251i
\(71\) 385247. 307224.i 1.07638 0.858382i 0.0859329 0.996301i \(-0.472613\pi\)
0.990443 + 0.137919i \(0.0440415\pi\)
\(72\) −184442. + 382998.i −0.494154 + 1.02612i
\(73\) −244490. + 55803.3i −0.628482 + 0.143447i −0.524886 0.851172i \(-0.675892\pi\)
−0.103596 + 0.994619i \(0.533035\pi\)
\(74\) 155580. + 74923.6i 0.383937 + 0.184894i
\(75\) 732053. + 583793.i 1.73524 + 1.38380i
\(76\) −302816. 69115.8i −0.689824 0.157448i
\(77\) −24550.4 19578.3i −0.0537758 0.0428848i
\(78\) 227917. + 998569.i 0.480278 + 2.10424i
\(79\) 419267. 0.850374 0.425187 0.905106i \(-0.360208\pi\)
0.425187 + 0.905106i \(0.360208\pi\)
\(80\) 962767.i 1.88040i
\(81\) −132865. 582120.i −0.250009 1.09536i
\(82\) 84915.9 67718.2i 0.154010 0.122818i
\(83\) −553608. + 266603.i −0.968206 + 0.466264i −0.850033 0.526729i \(-0.823418\pi\)
−0.118173 + 0.992993i \(0.537704\pi\)
\(84\) 43446.2 + 20922.6i 0.0733017 + 0.0353002i
\(85\) 1.58416e6i 2.57954i
\(86\) −232380. 757554.i −0.365344 1.19102i
\(87\) 1.13477e6 1.72326
\(88\) −134288. + 278851.i −0.197055 + 0.409189i
\(89\) 50594.2 + 105060.i 0.0717680 + 0.149028i 0.933766 0.357883i \(-0.116501\pi\)
−0.861998 + 0.506911i \(0.830787\pi\)
\(90\) −1.74200e6 2.18440e6i −2.38957 2.99643i
\(91\) −61698.7 + 14082.3i −0.0818751 + 0.0186875i
\(92\) −427838. −0.549435
\(93\) 1.02247e6i 1.27116i
\(94\) 1.31094e6 299212.i 1.57833 0.360243i
\(95\) −1.03302e6 + 1.29537e6i −1.20487 + 1.51085i
\(96\) 341837. 1.49768e6i 0.386371 1.69280i
\(97\) −292721. + 367061.i −0.320729 + 0.402182i −0.915893 0.401423i \(-0.868516\pi\)
0.595163 + 0.803605i \(0.297087\pi\)
\(98\) 505107. 1.04887e6i 0.536667 1.11440i
\(99\) −358533. 1.57084e6i −0.369508 1.61892i
\(100\) −633011. 304842.i −0.633011 0.304842i
\(101\) 472356. + 592316.i 0.458464 + 0.574896i 0.956304 0.292373i \(-0.0944448\pi\)
−0.497840 + 0.867269i \(0.665873\pi\)
\(102\) −877726. + 3.84557e6i −0.827101 + 3.62377i
\(103\) −71218.0 + 312026.i −0.0651746 + 0.285548i −0.997004 0.0773476i \(-0.975355\pi\)
0.931830 + 0.362896i \(0.118212\pi\)
\(104\) 270641. + 561991.i 0.240599 + 0.499608i
\(105\) 201108. 160378.i 0.173725 0.138541i
\(106\) 1.42124e6 + 1.13340e6i 1.19330 + 0.951627i
\(107\) −961186. + 462883.i −0.784614 + 0.377850i −0.782899 0.622148i \(-0.786260\pi\)
−0.00171465 + 0.999999i \(0.500546\pi\)
\(108\) 547468. + 1.13683e6i 0.434598 + 0.902452i
\(109\) 1.23358e6 1.54685e6i 0.952547 1.19446i −0.0282854 0.999600i \(-0.509005\pi\)
0.980832 0.194856i \(-0.0624238\pi\)
\(110\) −1.26831e6 1.59040e6i −0.952897 1.19489i
\(111\) −734962. + 353939.i −0.537398 + 0.258797i
\(112\) 144405. + 32959.4i 0.102784 + 0.0234599i
\(113\) 421203. + 96136.9i 0.291915 + 0.0666277i 0.365971 0.930626i \(-0.380737\pi\)
−0.0740556 + 0.997254i \(0.523594\pi\)
\(114\) 3.22539e6 2.57217e6i 2.17705 1.73614i
\(115\) −990209. + 2.05619e6i −0.651079 + 1.35198i
\(116\) −830144. + 189475.i −0.531838 + 0.121389i
\(117\) −2.92567e6 1.40893e6i −1.82670 0.879694i
\(118\) 2.47309e6 + 1.97222e6i 1.50520 + 1.20036i
\(119\) −237607. 54232.2i −0.141000 0.0321822i
\(120\) −1.98219e6 1.58074e6i −1.14710 0.914782i
\(121\) 133170. + 583458.i 0.0751713 + 0.329347i
\(122\) −685732. −0.377637
\(123\) 513081.i 0.275721i
\(124\) 170724. + 747990.i 0.0895425 + 0.392311i
\(125\) −628039. + 500844.i −0.321556 + 0.256432i
\(126\) −387272. + 186500.i −0.193599 + 0.0932325i
\(127\) 1.35465e6 + 652367.i 0.661328 + 0.318479i 0.734270 0.678857i \(-0.237525\pi\)
−0.0729421 + 0.997336i \(0.523239\pi\)
\(128\) 2.10600e6i 1.00422i
\(129\) 3.48237e6 + 1.37301e6i 1.62220 + 0.639593i
\(130\) −4.09970e6 −1.86604
\(131\) 90284.9 187479.i 0.0401607 0.0833946i −0.879923 0.475116i \(-0.842406\pi\)
0.920084 + 0.391722i \(0.128120\pi\)
\(132\) 781634. + 1.62308e6i 0.339846 + 0.705697i
\(133\) 158927. + 199288.i 0.0675526 + 0.0847083i
\(134\) −3.66578e6 + 836691.i −1.52353 + 0.347737i
\(135\) 6.73069e6 2.73564
\(136\) 2.40216e6i 0.954961i
\(137\) −2.68067e6 + 611845.i −1.04251 + 0.237947i −0.709301 0.704905i \(-0.750989\pi\)
−0.333211 + 0.942852i \(0.608132\pi\)
\(138\) 3.54301e6 4.44279e6i 1.34814 1.69051i
\(139\) 841122. 3.68519e6i 0.313195 1.37220i −0.536046 0.844189i \(-0.680082\pi\)
0.849240 0.528007i \(-0.177060\pi\)
\(140\) −120342. + 150904.i −0.0438565 + 0.0549943i
\(141\) −2.75608e6 + 5.72306e6i −0.983183 + 2.04160i
\(142\) −1.09278e6 4.78778e6i −0.381652 1.67213i
\(143\) −2.13011e6 1.02581e6i −0.728440 0.350798i
\(144\) 4.73860e6 + 5.94202e6i 1.58695 + 1.98997i
\(145\) −1.01071e6 + 4.42820e6i −0.331529 + 1.45252i
\(146\) −556155. + 2.43667e6i −0.178705 + 0.782958i
\(147\) 2.38612e6 + 4.95484e6i 0.751175 + 1.55983i
\(148\) 478565. 381642.i 0.147623 0.117726i
\(149\) −1.44747e6 1.15432e6i −0.437574 0.348954i 0.379792 0.925072i \(-0.375996\pi\)
−0.817367 + 0.576118i \(0.804567\pi\)
\(150\) 8.40765e6 4.04891e6i 2.49116 1.19968i
\(151\) −1.94375e6 4.03623e6i −0.564558 1.17232i −0.966504 0.256653i \(-0.917380\pi\)
0.401945 0.915664i \(-0.368334\pi\)
\(152\) 1.56644e6 1.96425e6i 0.446049 0.559328i
\(153\) −7.79700e6 9.77713e6i −2.17697 2.72984i
\(154\) −281963. + 135786.i −0.0772022 + 0.0371786i
\(155\) 3.98997e6 + 910685.i 1.07146 + 0.244553i
\(156\) 3.53965e6 + 807902.i 0.932366 + 0.212806i
\(157\) −4.67470e6 + 3.72795e6i −1.20797 + 0.963320i −0.999891 0.0147929i \(-0.995291\pi\)
−0.208075 + 0.978113i \(0.566720\pi\)
\(158\) 1.81301e6 3.76475e6i 0.459652 0.954477i
\(159\) −8.37216e6 + 1.91089e6i −2.08279 + 0.475384i
\(160\) 5.53992e6 + 2.66789e6i 1.35252 + 0.651340i
\(161\) 274507. + 218912.i 0.0657774 + 0.0524557i
\(162\) −5.80160e6 1.32418e6i −1.36459 0.311459i
\(163\) 3.95000e6 + 3.15002e6i 0.912082 + 0.727361i 0.962476 0.271368i \(-0.0874761\pi\)
−0.0503935 + 0.998729i \(0.516048\pi\)
\(164\) −85670.0 375345.i −0.0194222 0.0850940i
\(165\) 9.60957e6 2.13920
\(166\) 6.12390e6i 1.33876i
\(167\) −1.58206e6 6.93144e6i −0.339682 1.48824i −0.799735 0.600353i \(-0.795027\pi\)
0.460053 0.887891i \(-0.347830\pi\)
\(168\) −304953. + 243192.i −0.0643139 + 0.0512886i
\(169\) 55822.8 26882.9i 0.0115652 0.00556949i
\(170\) −1.42247e7 6.85027e6i −2.89533 1.39432i
\(171\) 1.30792e7i 2.61572i
\(172\) −2.77679e6 422968.i −0.545704 0.0831233i
\(173\) 4.45136e6 0.859715 0.429857 0.902897i \(-0.358564\pi\)
0.429857 + 0.902897i \(0.358564\pi\)
\(174\) 4.90701e6 1.01895e7i 0.931472 1.93422i
\(175\) 250171. + 519485.i 0.0466791 + 0.0969301i
\(176\) 3.45006e6 + 4.32623e6i 0.632831 + 0.793546i
\(177\) −1.45683e7 + 3.32512e6i −2.62718 + 0.599636i
\(178\) 1.16215e6 0.206064
\(179\) 874226.i 0.152428i −0.997091 0.0762140i \(-0.975717\pi\)
0.997091 0.0762140i \(-0.0242832\pi\)
\(180\) −9.65546e6 + 2.20380e6i −1.65560 + 0.377880i
\(181\) 1.69670e6 2.12759e6i 0.286134 0.358801i −0.617903 0.786254i \(-0.712018\pi\)
0.904037 + 0.427453i \(0.140589\pi\)
\(182\) −140349. + 614910.i −0.0232807 + 0.101999i
\(183\) 2.01973e6 2.53266e6i 0.329564 0.413261i
\(184\) 1.50152e6 3.11793e6i 0.241033 0.500511i
\(185\) −726561. 3.18327e6i −0.114751 0.502758i
\(186\) −9.18113e6 4.42140e6i −1.42678 0.687102i
\(187\) −5.67680e6 7.11849e6i −0.868118 1.08859i
\(188\) 1.06062e6 4.64690e6i 0.159620 0.699342i
\(189\) 230419. 1.00953e6i 0.0341297 0.149532i
\(190\) 7.16456e6 + 1.48774e7i 1.04455 + 2.16903i
\(191\) 6.92956e6 5.52614e6i 0.994501 0.793088i 0.0161143 0.999870i \(-0.494870\pi\)
0.978387 + 0.206782i \(0.0662990\pi\)
\(192\) 65542.0 + 52268.0i 0.00926010 + 0.00738469i
\(193\) −519230. + 250048.i −0.0722250 + 0.0347817i −0.469648 0.882854i \(-0.655619\pi\)
0.397423 + 0.917636i \(0.369905\pi\)
\(194\) 2.03018e6 + 4.21570e6i 0.278054 + 0.577384i
\(195\) 1.20751e7 1.51417e7i 1.62850 2.04207i
\(196\) −2.57289e6 3.22630e6i −0.341706 0.428486i
\(197\) −1.10528e7 + 5.32276e6i −1.44569 + 0.696207i −0.981841 0.189708i \(-0.939246\pi\)
−0.463848 + 0.885915i \(0.653532\pi\)
\(198\) −1.56555e7 3.57326e6i −2.01684 0.460330i
\(199\) 4.28724e6 + 978536.i 0.544025 + 0.124170i 0.485697 0.874127i \(-0.338566\pi\)
0.0583282 + 0.998297i \(0.481423\pi\)
\(200\) 4.44316e6 3.54330e6i 0.555395 0.442913i
\(201\) 7.70685e6 1.60034e7i 0.949050 1.97072i
\(202\) 7.36120e6 1.68015e6i 0.893088 0.203842i
\(203\) 629581. + 303190.i 0.0752599 + 0.0362433i
\(204\) 1.09316e7 + 8.71766e6i 1.28764 + 1.02686i
\(205\) −2.00219e6 456986.i −0.232404 0.0530446i
\(206\) 2.49384e6 + 1.98877e6i 0.285277 + 0.227500i
\(207\) 4.00889e6 + 1.75641e7i 0.451973 + 1.98022i
\(208\) 1.11520e7 1.23926
\(209\) 9.52261e6i 1.04308i
\(210\) −570457. 2.49933e6i −0.0615977 0.269877i
\(211\) 1.16976e6 932855.i 0.124523 0.0993040i −0.559248 0.829000i \(-0.688910\pi\)
0.683771 + 0.729696i \(0.260339\pi\)
\(212\) 5.80560e6 2.79583e6i 0.609312 0.293429i
\(213\) 2.09017e7 + 1.00657e7i 2.16293 + 1.04161i
\(214\) 1.06324e7i 1.08491i
\(215\) −8.45951e6 + 1.23663e7i −0.851197 + 1.24430i
\(216\) −1.02062e7 −1.01275
\(217\) 273186. 567276.i 0.0267349 0.0555156i
\(218\) −8.55550e6 1.77657e7i −0.825802 1.71480i
\(219\) −7.36146e6 9.23098e6i −0.700860 0.878851i
\(220\) −7.02990e6 + 1.60453e6i −0.660208 + 0.150688i
\(221\) −1.83498e7 −1.70002
\(222\) 8.13000e6i 0.743073i
\(223\) 1.40667e7 3.21062e6i 1.26846 0.289517i 0.465231 0.885189i \(-0.345971\pi\)
0.803228 + 0.595672i \(0.203114\pi\)
\(224\) 589808. 739596.i 0.0524767 0.0658037i
\(225\) −6.58333e6 + 2.88435e7i −0.577961 + 2.53221i
\(226\) 2.68463e6 3.36642e6i 0.232573 0.291637i
\(227\) 6.56972e6 1.36422e7i 0.561654 1.16629i −0.405968 0.913887i \(-0.633066\pi\)
0.967623 0.252400i \(-0.0812200\pi\)
\(228\) −3.25404e6 1.42569e7i −0.274548 1.20287i
\(229\) 1.74711e7 + 8.41362e6i 1.45483 + 0.700610i 0.983427 0.181307i \(-0.0580328\pi\)
0.471405 + 0.881917i \(0.343747\pi\)
\(230\) 1.41814e7 + 1.77829e7i 1.16556 + 1.46157i
\(231\) 328975. 1.44133e6i 0.0266886 0.116931i
\(232\) 1.53260e6 6.71476e6i 0.122734 0.537733i
\(233\) 924466. + 1.91967e6i 0.0730842 + 0.151761i 0.934310 0.356462i \(-0.116017\pi\)
−0.861226 + 0.508223i \(0.830303\pi\)
\(234\) −2.53026e7 + 2.01781e7i −1.97477 + 1.57483i
\(235\) −1.98782e7 1.58524e7i −1.53170 1.22149i
\(236\) 1.01023e7 4.86500e6i 0.768569 0.370123i
\(237\) 8.56465e6 + 1.77847e7i 0.643376 + 1.33598i
\(238\) −1.51444e6 + 1.89904e6i −0.112336 + 0.140865i
\(239\) −6.20031e6 7.77494e6i −0.454171 0.569513i 0.501045 0.865421i \(-0.332949\pi\)
−0.955216 + 0.295908i \(0.904378\pi\)
\(240\) −4.08391e7 + 1.96671e7i −2.95422 + 1.42268i
\(241\) 151815. + 34650.8i 0.0108458 + 0.00247549i 0.227940 0.973675i \(-0.426801\pi\)
−0.217095 + 0.976151i \(0.569658\pi\)
\(242\) 5.81494e6 + 1.32722e6i 0.410298 + 0.0936478i
\(243\) 1.62177e6 1.29332e6i 0.113024 0.0901334i
\(244\) −1.05465e6 + 2.19001e6i −0.0726007 + 0.150757i
\(245\) −2.14604e7 + 4.89820e6i −1.45929 + 0.333072i
\(246\) 4.60714e6 + 2.21868e6i 0.309475 + 0.149035i
\(247\) 1.50047e7 + 1.19658e7i 0.995716 + 0.794057i
\(248\) −6.05025e6 1.38093e6i −0.396660 0.0905350i
\(249\) −2.26178e7 1.80371e7i −1.46505 1.16834i
\(250\) 1.78148e6 + 7.80516e6i 0.114014 + 0.499530i
\(251\) −2.29998e7 −1.45446 −0.727231 0.686393i \(-0.759193\pi\)
−0.727231 + 0.686393i \(0.759193\pi\)
\(252\) 1.52366e6i 0.0952108i
\(253\) 2.91877e6 + 1.27880e7i 0.180235 + 0.789660i
\(254\) 1.17157e7 9.34293e6i 0.714934 0.570141i
\(255\) 6.71976e7 3.23607e7i 4.05260 1.95163i
\(256\) −1.88078e7 9.05737e6i −1.12103 0.539861i
\(257\) 9.42878e6i 0.555464i −0.960659 0.277732i \(-0.910417\pi\)
0.960659 0.277732i \(-0.0895827\pi\)
\(258\) 2.73873e7 2.53322e7i 1.59474 1.47508i
\(259\) −502329. −0.0289127
\(260\) −6.30532e6 + 1.30931e7i −0.358746 + 0.744944i
\(261\) 1.55571e7 + 3.23046e7i 0.874996 + 1.81695i
\(262\) −1.29303e6 1.62140e6i −0.0718957 0.0901544i
\(263\) −1.08855e6 + 248455.i −0.0598387 + 0.0136578i −0.252335 0.967640i \(-0.581199\pi\)
0.192497 + 0.981298i \(0.438342\pi\)
\(264\) −1.45716e7 −0.791947
\(265\) 3.43725e7i 1.84703i
\(266\) 2.47671e6 565294.i 0.131592 0.0300351i
\(267\) −3.42296e6 + 4.29226e6i −0.179833 + 0.225503i
\(268\) −2.96584e6 + 1.29942e7i −0.154079 + 0.675063i
\(269\) 1.64068e7 2.05735e7i 0.842884 1.05694i −0.154734 0.987956i \(-0.549452\pi\)
0.997618 0.0689867i \(-0.0219766\pi\)
\(270\) 2.91051e7 6.04373e7i 1.47869 3.07053i
\(271\) −1.85242e6 8.11597e6i −0.0930746 0.407786i 0.906831 0.421493i \(-0.138494\pi\)
−0.999906 + 0.0137070i \(0.995637\pi\)
\(272\) 3.86943e7 + 1.86342e7i 1.92283 + 0.925984i
\(273\) −1.85771e6 2.32950e6i −0.0913041 0.114492i
\(274\) −6.09785e6 + 2.67164e7i −0.296432 + 1.29875i
\(275\) −4.79316e6 + 2.10002e7i −0.230475 + 1.00978i
\(276\) −8.73974e6 1.81483e7i −0.415692 0.863192i
\(277\) −805749. + 642564.i −0.0379106 + 0.0302327i −0.642262 0.766485i \(-0.722004\pi\)
0.604351 + 0.796718i \(0.293432\pi\)
\(278\) −2.94535e7 2.34884e7i −1.37089 1.09325i
\(279\) 2.91076e7 1.40175e7i 1.34027 0.645442i
\(280\) −677391. 1.40662e6i −0.0308578 0.0640769i
\(281\) −1.06150e7 + 1.33108e7i −0.478411 + 0.599909i −0.961208 0.275824i \(-0.911049\pi\)
0.482797 + 0.875732i \(0.339621\pi\)
\(282\) 3.94715e7 + 4.94957e7i 1.76009 + 2.20709i
\(283\) −7.19187e6 + 3.46342e6i −0.317309 + 0.152808i −0.585758 0.810486i \(-0.699203\pi\)
0.268449 + 0.963294i \(0.413489\pi\)
\(284\) −1.69713e7 3.87360e6i −0.740903 0.169106i
\(285\) −7.60498e7 1.73579e7i −3.28521 0.749829i
\(286\) −1.84222e7 + 1.46912e7i −0.787485 + 0.627999i
\(287\) −137086. + 284662.i −0.00579892 + 0.0120416i
\(288\) 4.73223e7 1.08010e7i 1.98102 0.452155i
\(289\) −4.19213e7 2.01882e7i −1.73676 0.836381i
\(290\) 3.53919e7 + 2.82241e7i 1.45114 + 1.15725i
\(291\) −2.15498e7 4.91859e6i −0.874508 0.199601i
\(292\) 6.92660e6 + 5.52378e6i 0.278209 + 0.221864i
\(293\) −6.45136e6 2.82652e7i −0.256477 1.12370i −0.924988 0.379996i \(-0.875925\pi\)
0.668511 0.743702i \(-0.266932\pi\)
\(294\) 5.48094e7 2.15682
\(295\) 5.98113e7i 2.32979i
\(296\) 1.10173e6 + 4.82700e6i 0.0424816 + 0.186124i
\(297\) 3.02446e7 2.41193e7i 1.15446 0.920651i
\(298\) −1.66243e7 + 8.00583e6i −0.628195 + 0.302523i
\(299\) 2.38175e7 + 1.14699e7i 0.891010 + 0.429088i
\(300\) 3.30786e7i 1.22513i
\(301\) 1.56521e6 + 1.69218e6i 0.0573948 + 0.0620509i
\(302\) −4.46480e7 −1.62099
\(303\) −1.54760e7 + 3.21363e7i −0.556328 + 1.15523i
\(304\) −1.94891e7 4.04695e7i −0.693699 1.44048i
\(305\) 8.08425e6 + 1.01373e7i 0.284931 + 0.357293i
\(306\) −1.21508e8 + 2.77335e7i −4.24075 + 0.967922i
\(307\) −3.38841e7 −1.17107 −0.585533 0.810649i \(-0.699115\pi\)
−0.585533 + 0.810649i \(0.699115\pi\)
\(308\) 1.10934e6i 0.0379675i
\(309\) −1.46905e7 + 3.35301e6i −0.497922 + 0.113647i
\(310\) 2.54309e7 3.18894e7i 0.853644 1.07044i
\(311\) −4.38796e6 + 1.92249e7i −0.145875 + 0.639120i 0.848130 + 0.529788i \(0.177728\pi\)
−0.994005 + 0.109332i \(0.965129\pi\)
\(312\) −1.83103e7 + 2.29603e7i −0.602880 + 0.755987i
\(313\) 1.40884e7 2.92550e7i 0.459441 0.954040i −0.534607 0.845101i \(-0.679540\pi\)
0.994048 0.108939i \(-0.0347454\pi\)
\(314\) 1.32601e7 + 5.80963e7i 0.428310 + 1.87655i
\(315\) 7.32271e6 + 3.52643e6i 0.234283 + 0.112825i
\(316\) −9.23503e6 1.15804e7i −0.292669 0.366996i
\(317\) −3.99746e6 + 1.75140e7i −0.125489 + 0.549803i 0.872624 + 0.488393i \(0.162417\pi\)
−0.998113 + 0.0614101i \(0.980440\pi\)
\(318\) −1.90446e7 + 8.34397e7i −0.592229 + 2.59473i
\(319\) 1.13267e7 + 2.35201e7i 0.348925 + 0.724549i
\(320\) −262341. + 209210.i −0.00800601 + 0.00638458i
\(321\) −3.92696e7 3.13164e7i −1.18725 0.946798i
\(322\) 3.15273e6 1.51827e6i 0.0944319 0.0454760i
\(323\) 3.20678e7 + 6.65895e7i 0.951616 + 1.97605i
\(324\) −1.31519e7 + 1.64919e7i −0.386680 + 0.484882i
\(325\) 2.70669e7 + 3.39408e7i 0.788475 + 0.988716i
\(326\) 4.53658e7 2.18470e7i 1.30941 0.630579i
\(327\) 9.08143e7 + 2.07278e7i 2.59723 + 0.592801i
\(328\) 3.03604e6 + 692957.i 0.0860372 + 0.0196374i
\(329\) −3.05820e6 + 2.43883e6i −0.0858771 + 0.0684847i
\(330\) 4.15540e7 8.62878e7i 1.15630 2.40109i
\(331\) 4.83756e7 1.10414e7i 1.33396 0.304467i 0.504681 0.863306i \(-0.331610\pi\)
0.829276 + 0.558839i \(0.188753\pi\)
\(332\) 1.95578e7 + 9.41854e6i 0.534448 + 0.257377i
\(333\) −2.01518e7 1.60705e7i −0.545734 0.435208i
\(334\) −6.90811e7 1.57673e7i −1.85404 0.423173i
\(335\) 5.55857e7 + 4.43281e7i 1.47853 + 1.17908i
\(336\) 1.55176e6 + 6.79871e6i 0.0409079 + 0.179229i
\(337\) 1.95984e7 0.512072 0.256036 0.966667i \(-0.417583\pi\)
0.256036 + 0.966667i \(0.417583\pi\)
\(338\) 617501.i 0.0159914i
\(339\) 4.52622e6 + 1.98306e7i 0.116181 + 0.509023i
\(340\) −4.37552e7 + 3.48936e7i −1.11325 + 0.887788i
\(341\) 2.11925e7 1.02058e7i 0.534465 0.257385i
\(342\) 1.17442e8 + 5.65573e7i 2.93594 + 1.41387i
\(343\) 6.79740e6i 0.168446i
\(344\) 1.28277e7 1.87518e7i 0.315118 0.460646i
\(345\) −1.07448e8 −2.61663
\(346\) 1.92487e7 3.99704e7i 0.464701 0.964961i
\(347\) −9.38480e6 1.94877e7i −0.224614 0.466416i 0.757957 0.652305i \(-0.226198\pi\)
−0.982571 + 0.185889i \(0.940483\pi\)
\(348\) −2.49951e7 3.13429e7i −0.593086 0.743706i
\(349\) −2.68519e7 + 6.12878e6i −0.631683 + 0.144178i −0.526362 0.850261i \(-0.676444\pi\)
−0.105321 + 0.994438i \(0.533587\pi\)
\(350\) 5.74644e6 0.134028
\(351\) 7.79637e7i 1.80290i
\(352\) 3.44542e7 7.86394e6i 0.789976 0.180307i
\(353\) 4.75545e7 5.96314e7i 1.08110 1.35566i 0.150928 0.988545i \(-0.451774\pi\)
0.930175 0.367116i \(-0.119655\pi\)
\(354\) −3.31393e7 + 1.45193e8i −0.747022 + 3.27292i
\(355\) −5.78958e7 + 7.25990e7i −1.29408 + 1.62273i
\(356\) 1.78739e6 3.71155e6i 0.0396158 0.0822631i
\(357\) −2.55330e6 1.11868e7i −0.0561174 0.245867i
\(358\) −7.84999e6 3.78036e6i −0.171088 0.0823918i
\(359\) 5.59671e6 + 7.01805e6i 0.120962 + 0.151682i 0.838625 0.544709i \(-0.183360\pi\)
−0.717663 + 0.696390i \(0.754788\pi\)
\(360\) 1.78258e7 7.80999e7i 0.382069 1.67395i
\(361\) 6.73209e6 2.94952e7i 0.143096 0.626946i
\(362\) −1.17675e7 2.44355e7i −0.248061 0.515105i
\(363\) −2.20290e7 + 1.75676e7i −0.460549 + 0.367275i
\(364\) 1.74797e6 + 1.39396e6i 0.0362435 + 0.0289033i
\(365\) 4.25785e7 2.05047e7i 0.875613 0.421673i
\(366\) −1.40079e7 2.90877e7i −0.285713 0.593289i
\(367\) 3.93775e7 4.93778e7i 0.796617 0.998926i −0.203187 0.979140i \(-0.565130\pi\)
0.999804 0.0197863i \(-0.00629858\pi\)
\(368\) −3.85763e7 4.83732e7i −0.774065 0.970647i
\(369\) −1.46063e7 + 7.03404e6i −0.290711 + 0.139999i
\(370\) −3.17256e7 7.24115e6i −0.626331 0.142956i
\(371\) −5.15550e6 1.17671e6i −0.100960 0.0230435i
\(372\) −2.82411e7 + 2.25215e7i −0.548596 + 0.437491i
\(373\) −3.94371e7 + 8.18919e7i −0.759938 + 1.57803i 0.0550042 + 0.998486i \(0.482483\pi\)
−0.814942 + 0.579542i \(0.803232\pi\)
\(374\) −8.84673e7 + 2.01921e7i −1.69109 + 0.385981i
\(375\) −3.40744e7 1.64094e7i −0.646152 0.311171i
\(376\) 3.01426e7 + 2.40380e7i 0.567045 + 0.452204i
\(377\) 5.12932e7 + 1.17073e7i 0.957274 + 0.218491i
\(378\) −8.06855e6 6.43446e6i −0.149390 0.119134i
\(379\) 269209. + 1.17948e6i 0.00494506 + 0.0216657i 0.977340 0.211674i \(-0.0678916\pi\)
−0.972395 + 0.233340i \(0.925034\pi\)
\(380\) 5.85326e7 1.06671
\(381\) 7.07887e7i 1.27994i
\(382\) −1.96562e7 8.61193e7i −0.352621 1.54494i
\(383\) −2.02892e6 + 1.61801e6i −0.0361134 + 0.0287995i −0.641380 0.767223i \(-0.721638\pi\)
0.605267 + 0.796023i \(0.293066\pi\)
\(384\) 8.93331e7 4.30206e7i 1.57768 0.759770i
\(385\) 5.33148e6 + 2.56751e6i 0.0934255 + 0.0449914i
\(386\) 5.74362e6i 0.0998673i
\(387\) 8.65460e6 + 1.17959e8i 0.149319 + 2.03516i
\(388\) 1.65860e7 0.283954
\(389\) −1.87617e7 + 3.89590e7i −0.318730 + 0.661850i −0.997359 0.0726318i \(-0.976860\pi\)
0.678629 + 0.734481i \(0.262574\pi\)
\(390\) −8.37473e7 1.73903e8i −1.41181 2.93166i
\(391\) 6.34744e7 + 7.95944e7i 1.06186 + 1.33153i
\(392\) 3.25418e7 7.42746e6i 0.540236 0.123305i
\(393\) 9.79687e6 0.161402
\(394\) 1.22264e8i 1.99899i
\(395\) −7.70292e7 + 1.75814e7i −1.24987 + 0.285274i
\(396\) −3.54900e7 + 4.45030e7i −0.571505 + 0.716644i
\(397\) 3.41757e6 1.49734e7i 0.0546193 0.239303i −0.940248 0.340490i \(-0.889407\pi\)
0.994867 + 0.101187i \(0.0322642\pi\)
\(398\) 2.73257e7 3.42653e7i 0.433433 0.543507i
\(399\) −5.20699e6 + 1.08124e7i −0.0819724 + 0.170217i
\(400\) −2.26092e7 9.90572e7i −0.353268 1.54777i
\(401\) 5.47282e6 + 2.63557e6i 0.0848747 + 0.0408735i 0.475840 0.879532i \(-0.342144\pi\)
−0.390965 + 0.920406i \(0.627859\pi\)
\(402\) −1.10374e8 1.38405e8i −1.69899 2.13046i
\(403\) 1.05487e7 4.62171e7i 0.161171 0.706134i
\(404\) 5.95565e6 2.60934e7i 0.0903202 0.395719i
\(405\) 4.88208e7 + 1.01377e8i 0.734920 + 1.52608i
\(406\) 5.44491e6 4.34217e6i 0.0813603 0.0648827i
\(407\) −1.46720e7 1.17005e7i −0.217624 0.173549i
\(408\) −1.01896e8 + 4.90706e7i −1.50030 + 0.722505i
\(409\) −3.92550e7 8.15139e7i −0.573753 1.19141i −0.962805 0.270195i \(-0.912912\pi\)
0.389052 0.921216i \(-0.372803\pi\)
\(410\) −1.27614e7 + 1.60022e7i −0.185159 + 0.232182i
\(411\) −8.07133e7 1.01211e8i −1.16257 1.45782i
\(412\) 1.01870e7 4.90580e6i 0.145665 0.0701485i
\(413\) −8.97104e6 2.04758e6i −0.127348 0.0290664i
\(414\) 1.75050e8 + 3.99539e7i 2.46695 + 0.563065i
\(415\) 9.05310e7 7.21960e7i 1.26664 1.01011i
\(416\) 3.09030e7 6.41707e7i 0.429260 0.891368i
\(417\) 1.73502e8 3.96008e7i 2.39275 0.546130i
\(418\) 8.55069e7 + 4.11780e7i 1.17077 + 0.563814i
\(419\) 2.67761e6 + 2.13532e6i 0.0364003 + 0.0290283i 0.641521 0.767105i \(-0.278304\pi\)
−0.605121 + 0.796134i \(0.706875\pi\)
\(420\) −8.85944e6 2.02211e6i −0.119580 0.0272933i
\(421\) −6.02962e7 4.80846e7i −0.808060 0.644406i 0.129754 0.991546i \(-0.458581\pi\)
−0.937813 + 0.347140i \(0.887153\pi\)
\(422\) −3.31811e6 1.45376e7i −0.0441524 0.193444i
\(423\) −2.00708e8 −2.65181
\(424\) 5.21212e7i 0.683781i
\(425\) 3.72016e7 + 1.62991e8i 0.484613 + 2.12323i
\(426\) 1.80767e8 1.44157e8i 2.33825 1.86469i
\(427\) 1.79725e6 865509.i 0.0230847 0.0111170i
\(428\) 3.39567e7 + 1.63527e7i 0.433106 + 0.208573i
\(429\) 1.11311e8i 1.40983i
\(430\) 7.44605e7 + 1.29436e8i 0.936528 + 1.62798i
\(431\) −1.18344e8 −1.47814 −0.739068 0.673630i \(-0.764734\pi\)
−0.739068 + 0.673630i \(0.764734\pi\)
\(432\) −7.91718e7 + 1.64402e8i −0.982018 + 2.03918i
\(433\) 2.56160e7 + 5.31922e7i 0.315535 + 0.655215i 0.997064 0.0765761i \(-0.0243988\pi\)
−0.681529 + 0.731791i \(0.738685\pi\)
\(434\) −3.91246e6 4.90606e6i −0.0478608 0.0600156i
\(435\) −2.08484e8 + 4.75851e7i −2.53282 + 0.578100i
\(436\) −6.98963e7 −0.843324
\(437\) 1.06476e8i 1.27587i
\(438\) −1.14721e8 + 2.61843e7i −1.36528 + 0.311615i
\(439\) 2.74383e6 3.44065e6i 0.0324312 0.0406675i −0.765351 0.643613i \(-0.777435\pi\)
0.797783 + 0.602945i \(0.206006\pi\)
\(440\) 1.29785e7 5.68626e7i 0.152359 0.667527i
\(441\) −1.08341e8 + 1.35856e8i −1.26322 + 1.58403i
\(442\) −7.93489e7 + 1.64770e8i −0.918912 + 1.90814i
\(443\) 2.17183e7 + 9.51541e7i 0.249813 + 1.09450i 0.931753 + 0.363093i \(0.118279\pi\)
−0.681940 + 0.731408i \(0.738864\pi\)
\(444\) 2.59646e7 + 1.25039e7i 0.296643 + 0.142856i
\(445\) −1.37009e7 1.71804e7i −0.155478 0.194963i
\(446\) 3.19981e7 1.40193e8i 0.360678 1.58024i
\(447\) 1.93961e7 8.49798e7i 0.217166 0.951465i
\(448\) 22398.2 + 46510.4i 0.000249103 + 0.000517268i
\(449\) 9.71779e6 7.74968e6i 0.107356 0.0856139i −0.568340 0.822794i \(-0.692414\pi\)
0.675697 + 0.737180i \(0.263843\pi\)
\(450\) 2.30528e8 + 1.83840e8i 2.52980 + 2.01745i
\(451\) −1.06345e7 + 5.12131e6i −0.115928 + 0.0558279i
\(452\) −6.62232e6 1.37514e7i −0.0717125 0.148913i
\(453\) 1.31505e8 1.64901e8i 1.41464 1.77390i
\(454\) −9.40889e7 1.17984e8i −1.00547 1.26082i
\(455\) 1.07450e7 5.17450e6i 0.114070 0.0549332i
\(456\) 1.15319e8 + 2.63209e7i 1.21621 + 0.277591i
\(457\) −9.42207e7 2.15052e7i −0.987183 0.225318i −0.301697 0.953404i \(-0.597553\pi\)
−0.685486 + 0.728086i \(0.740410\pi\)
\(458\) 1.51098e8 1.20496e8i 1.57276 1.25423i
\(459\) 1.30271e8 2.70511e8i 1.34713 2.79735i
\(460\) 7.86039e7 1.79408e7i 0.807552 0.184318i
\(461\) −5.39082e7 2.59608e7i −0.550240 0.264982i 0.138040 0.990427i \(-0.455920\pi\)
−0.688280 + 0.725445i \(0.741634\pi\)
\(462\) −1.15197e7 9.18664e6i −0.116819 0.0931602i
\(463\) 1.42598e8 + 3.25471e7i 1.43672 + 0.327921i 0.868799 0.495164i \(-0.164892\pi\)
0.567917 + 0.823086i \(0.307749\pi\)
\(464\) −9.62733e7 7.67754e7i −0.963722 0.768543i
\(465\) 4.28759e7 + 1.87852e8i 0.426437 + 1.86834i
\(466\) 2.12351e7 0.209844
\(467\) 1.35697e8i 1.33235i 0.745793 + 0.666177i \(0.232071\pi\)
−0.745793 + 0.666177i \(0.767929\pi\)
\(468\) 2.55273e7 + 1.11842e8i 0.249039 + 1.09111i
\(469\) 8.55167e6 6.81973e6i 0.0828957 0.0661071i
\(470\) −2.28302e8 + 1.09945e8i −2.19896 + 1.05896i
\(471\) −2.53627e8 1.22140e8i −2.42735 1.16895i
\(472\) 9.06957e7i 0.862503i
\(473\) 6.30119e6 + 8.58829e7i 0.0595442 + 0.811565i
\(474\) 1.96731e8 1.84730
\(475\) 7.58658e7 1.57537e8i 0.707889 1.46995i
\(476\) 3.73575e6 + 7.75736e6i 0.0346383 + 0.0719272i
\(477\) −1.69176e8 2.12141e8i −1.55878 1.95465i
\(478\) −9.66256e7 + 2.20542e7i −0.884725 + 0.201933i
\(479\) 1.53882e8 1.40017 0.700086 0.714058i \(-0.253145\pi\)
0.700086 + 0.714058i \(0.253145\pi\)
\(480\) 2.89494e8i 2.61767i
\(481\) −3.68729e7 + 8.41599e6i −0.331338 + 0.0756258i
\(482\) 967625. 1.21336e6i 0.00864104 0.0108355i
\(483\) −3.67839e6 + 1.61161e7i −0.0326449 + 0.143027i
\(484\) 1.31821e7 1.65298e7i 0.116265 0.145791i
\(485\) 3.83875e7 7.97125e7i 0.336484 0.698716i
\(486\) −4.60025e6 2.01550e7i −0.0400750 0.175580i
\(487\) 1.12229e8 + 5.40468e7i 0.971672 + 0.467933i 0.851233 0.524788i \(-0.175855\pi\)
0.120439 + 0.992721i \(0.461570\pi\)
\(488\) −1.22587e7 1.53719e7i −0.105483 0.132272i
\(489\) −5.29297e7 + 2.31900e8i −0.452661 + 1.98324i
\(490\) −4.88172e7 + 2.13882e8i −0.414939 + 1.81797i
\(491\) 4.69967e7 + 9.75897e7i 0.397030 + 0.824441i 0.999651 + 0.0264138i \(0.00840875\pi\)
−0.602621 + 0.798027i \(0.705877\pi\)
\(492\) 1.41715e7 1.13014e7i 0.118993 0.0948937i
\(493\) 1.58410e8 + 1.26328e8i 1.32203 + 1.05429i
\(494\) 1.72329e8 8.29893e7i 1.42948 0.688401i
\(495\) 1.31742e8 + 2.73564e8i 1.08619 + 2.25551i
\(496\) −6.91774e7 + 8.67457e7i −0.566917 + 0.710891i
\(497\) 8.90706e6 + 1.11691e7i 0.0725547 + 0.0909807i
\(498\) −2.59766e8 + 1.25097e8i −2.10327 + 1.01288i
\(499\) −5.73019e7 1.30788e7i −0.461177 0.105261i −0.0143810 0.999897i \(-0.504578\pi\)
−0.446796 + 0.894636i \(0.647435\pi\)
\(500\) 2.76671e7 + 6.31484e6i 0.221337 + 0.0505187i
\(501\) 2.61703e8 2.08702e8i 2.08112 1.65963i
\(502\) −9.94564e7 + 2.06523e8i −0.786179 + 1.63252i
\(503\) −4.14741e7 + 9.46619e6i −0.325891 + 0.0743826i −0.382337 0.924023i \(-0.624880\pi\)
0.0564453 + 0.998406i \(0.482023\pi\)
\(504\) −1.11039e7 5.34735e6i −0.0867328 0.0417683i
\(505\) −1.11621e8 8.90146e7i −0.866704 0.691174i
\(506\) 1.27449e8 + 2.90895e7i 0.983752 + 0.224535i
\(507\) 2.28066e6 + 1.81877e6i 0.0174999 + 0.0139557i
\(508\) −1.18197e7 5.17856e7i −0.0901604 0.395019i
\(509\) −1.41953e8 −1.07644 −0.538222 0.842803i \(-0.680904\pi\)
−0.538222 + 0.842803i \(0.680904\pi\)
\(510\) 7.43327e8i 5.60363i
\(511\) −1.61785e6 7.08828e6i −0.0121249 0.0531224i
\(512\) −5.72806e7 + 4.56798e7i −0.426774 + 0.340341i
\(513\) −2.82922e8 + 1.36248e8i −2.09563 + 1.00920i
\(514\) −8.46644e7 4.07722e7i −0.623464 0.300244i
\(515\) 6.03130e7i 0.441559i
\(516\) −3.87816e7 1.26427e8i −0.282277 0.920220i
\(517\) −1.46130e8 −1.05747
\(518\) −2.17219e6 + 4.51060e6i −0.0156282 + 0.0324522i
\(519\) 9.09309e7 + 1.88820e8i 0.650443 + 1.35066i
\(520\) −7.32893e7 9.19019e7i −0.521232 0.653604i
\(521\) 8.80271e7 2.00916e7i 0.622448 0.142070i 0.100346 0.994953i \(-0.468005\pi\)
0.522102 + 0.852883i \(0.325148\pi\)
\(522\) 3.57347e8 2.51234
\(523\) 1.03523e8i 0.723653i 0.932245 + 0.361827i \(0.117847\pi\)
−0.932245 + 0.361827i \(0.882153\pi\)
\(524\) −7.16691e6 + 1.63580e6i −0.0498125 + 0.0113694i
\(525\) −1.69254e7 + 2.12237e7i −0.116966 + 0.146671i
\(526\) −2.47619e6 + 1.08489e7i −0.0170148 + 0.0745466i
\(527\) 1.13826e8 1.42733e8i 0.777697 0.975201i
\(528\) −1.13036e8 + 2.34721e8i −0.767916 + 1.59459i
\(529\) 305247. + 1.33737e6i 0.00206198 + 0.00903413i
\(530\) −3.08643e8 1.48635e8i −2.07314 0.998372i
\(531\) −2.94382e8 3.69144e8i −1.96620 2.46554i
\(532\) 2.00381e6 8.77926e6i 0.0133083 0.0583073i
\(533\) −5.29341e6 + 2.31920e7i −0.0349586 + 0.153164i
\(534\) 2.37401e7 + 4.92967e7i 0.155904 + 0.323739i
\(535\) 1.57182e8 1.25348e8i 1.02646 0.818573i
\(536\) −8.42882e7 6.72176e7i −0.547359 0.436504i
\(537\) 3.70834e7 1.78584e7i 0.239473 0.115324i
\(538\) −1.13790e8 2.36287e8i −0.730731 1.51738i
\(539\) −7.88807e7 + 9.89133e7i −0.503738 + 0.631667i
\(540\) −1.48254e8 1.85905e8i −0.941511 1.18062i
\(541\) 8.99121e7 4.32994e7i 0.567840 0.273458i −0.127857 0.991793i \(-0.540810\pi\)
0.695697 + 0.718335i \(0.255096\pi\)
\(542\) −8.08865e7 1.84618e7i −0.508017 0.115952i
\(543\) 1.24909e8 + 2.85097e7i 0.780179 + 0.178071i
\(544\) 2.14448e8 1.71017e8i 1.33207 1.06229i
\(545\) −1.61771e8 + 3.35921e8i −0.999337 + 2.07514i
\(546\) −2.89506e7 + 6.60778e6i −0.177860 + 0.0405955i
\(547\) −8.61338e7 4.14798e7i −0.526273 0.253440i 0.151830 0.988407i \(-0.451483\pi\)
−0.678103 + 0.734967i \(0.737198\pi\)
\(548\) 7.59454e7 + 6.05644e7i 0.461487 + 0.368024i
\(549\) 9.97890e7 + 2.27762e7i 0.603067 + 0.137646i
\(550\) 1.67842e8 + 1.33849e8i 1.00882 + 0.804504i
\(551\) −4.71544e7 2.06597e8i −0.281882 1.23501i
\(552\) 1.62931e8 0.968691
\(553\) 1.21554e7i 0.0718778i
\(554\) 2.28556e6 + 1.00137e7i 0.0134420 + 0.0588933i
\(555\) 1.20188e8 9.58464e7i 0.703041 0.560657i
\(556\) −1.20314e8 + 5.79401e7i −0.699989 + 0.337097i
\(557\) 2.45428e8 + 1.18192e8i 1.42023 + 0.683945i 0.977153 0.212539i \(-0.0681733\pi\)
0.443075 + 0.896485i \(0.353888\pi\)
\(558\) 3.21982e8i 1.85323i
\(559\) 1.43243e8 + 9.79892e7i 0.820044 + 0.560974i
\(560\) −2.79126e7 −0.158941
\(561\) 1.85992e8 3.86215e8i 1.05343 2.18746i
\(562\) 7.36207e7 + 1.52875e8i 0.414754 + 0.861246i
\(563\) 9.90225e7 + 1.24170e8i 0.554893 + 0.695813i 0.977604 0.210451i \(-0.0674932\pi\)
−0.422712 + 0.906264i \(0.638922\pi\)
\(564\) 2.18781e8 4.99352e7i 1.21947 0.278336i
\(565\) −8.14162e7 −0.451404
\(566\) 7.95550e7i 0.438751i
\(567\) 1.68769e7 3.85203e6i 0.0925854 0.0211320i
\(568\) 8.77911e7 1.10087e8i 0.479077 0.600744i
\(569\) 3.67612e7 1.61061e8i 0.199551 0.874288i −0.771654 0.636042i \(-0.780570\pi\)
0.971205 0.238246i \(-0.0765724\pi\)
\(570\) −4.84720e8 + 6.07819e8i −2.61738 + 3.28209i
\(571\) 1.35954e7 2.82312e7i 0.0730271 0.151642i −0.861259 0.508166i \(-0.830324\pi\)
0.934286 + 0.356523i \(0.116038\pi\)
\(572\) 1.85858e7 + 8.14296e7i 0.0993099 + 0.435105i
\(573\) 3.75965e8 + 1.81055e8i 1.99841 + 0.962381i
\(574\) 1.96329e6 + 2.46189e6i 0.0103812 + 0.0130176i
\(575\) 5.35941e7 2.34811e8i 0.281912 1.23514i
\(576\) −589418. + 2.58241e6i −0.00308429 + 0.0135132i
\(577\) −4.49871e6 9.34166e6i −0.0234186 0.0486292i 0.888931 0.458040i \(-0.151448\pi\)
−0.912350 + 0.409411i \(0.865734\pi\)
\(578\) −3.62555e8 + 2.89128e8i −1.87754 + 1.49729i
\(579\) −2.12133e7 1.69170e7i −0.109288 0.0871543i
\(580\) 1.44571e8 6.96219e7i 0.740966 0.356830i
\(581\) −7.72938e6 1.60502e7i −0.0394109 0.0818376i
\(582\) −1.37352e8 + 1.72234e8i −0.696733 + 0.873675i
\(583\) −1.23173e8 1.54454e8i −0.621599 0.779461i
\(584\) −6.45646e7 + 3.10926e7i −0.324157 + 0.156106i
\(585\) 5.96595e8 + 1.36169e8i 2.97997 + 0.680159i
\(586\) −2.81701e8 6.42964e7i −1.39989 0.319517i
\(587\) −1.17004e8 + 9.33074e7i −0.578476 + 0.461320i −0.868493 0.495702i \(-0.834911\pi\)
0.290016 + 0.957022i \(0.406339\pi\)
\(588\) 8.42967e7 1.75044e8i 0.414647 0.861024i
\(589\) −1.86152e8 + 4.24879e7i −0.911005 + 0.207931i
\(590\) −5.37067e8 2.58638e8i −2.61500 1.25932i
\(591\) −4.51567e8 3.60113e8i −2.18756 1.74452i
\(592\) 8.63002e7 + 1.96974e7i 0.415955 + 0.0949390i
\(593\) 2.01806e8 + 1.60935e8i 0.967764 + 0.771766i 0.973610 0.228217i \(-0.0732896\pi\)
−0.00584655 + 0.999983i \(0.501861\pi\)
\(594\) −8.57910e7 3.75875e8i −0.409338 1.79343i
\(595\) 4.59281e7 0.218035
\(596\) 6.54057e7i 0.308942i
\(597\) 4.60704e7 + 2.01848e8i 0.216520 + 0.948638i
\(598\) 2.05985e8 1.64267e8i 0.963234 0.768153i
\(599\) −7.72839e7 + 3.72179e7i −0.359591 + 0.173170i −0.604952 0.796262i \(-0.706808\pi\)
0.245361 + 0.969432i \(0.421093\pi\)
\(600\) 2.41065e8 + 1.16091e8i 1.11604 + 0.537457i
\(601\) 3.57119e8i 1.64509i −0.568699 0.822546i \(-0.692553\pi\)
0.568699 0.822546i \(-0.307447\pi\)
\(602\) 2.19630e7 6.73716e6i 0.100671 0.0308807i
\(603\) 5.61241e8 2.55975
\(604\) −6.86684e7 + 1.42591e8i −0.311635 + 0.647117i
\(605\) −4.89330e7 1.01611e8i −0.220971 0.458852i
\(606\) 2.21641e8 + 2.77929e8i 0.995939 + 1.24887i
\(607\) 5.58058e7 1.27373e7i 0.249525 0.0569524i −0.0959290 0.995388i \(-0.530582\pi\)
0.345454 + 0.938436i \(0.387725\pi\)
\(608\) −2.86874e8 −1.27638
\(609\) 3.28994e7i 0.145658i
\(610\) 1.25985e8 2.87552e7i 0.555046 0.126686i
\(611\) −1.83623e8 + 2.30256e8i −0.805014 + 1.00946i
\(612\) −9.83076e7 + 4.30714e8i −0.428877 + 1.87903i
\(613\) −7.81892e7 + 9.80462e7i −0.339442 + 0.425647i −0.922029 0.387122i \(-0.873469\pi\)
0.582587 + 0.812769i \(0.302041\pi\)
\(614\) −1.46523e8 + 3.04258e8i −0.632995 + 1.31443i
\(615\) −2.15153e7 9.42649e7i −0.0924960 0.405251i
\(616\) −8.08446e6 3.89327e6i −0.0345867 0.0166561i
\(617\) −2.30734e8 2.89331e8i −0.982327 1.23180i −0.972753 0.231844i \(-0.925524\pi\)
−0.00957373 0.999954i \(-0.503047\pi\)
\(618\) −3.34173e7 + 1.46411e8i −0.141581 + 0.620307i
\(619\) 3.38851e7 1.48460e8i 0.142869 0.625949i −0.851892 0.523718i \(-0.824545\pi\)
0.994761 0.102231i \(-0.0325981\pi\)
\(620\) −6.27319e7 1.30264e8i −0.263217 0.546575i
\(621\) −3.38176e8 + 2.69686e8i −1.41211 + 1.12612i
\(622\) 1.53653e8 + 1.22534e8i 0.638512 + 0.509196i
\(623\) −3.04591e6 + 1.46683e6i −0.0125966 + 0.00606619i
\(624\) 2.27810e8 + 4.73052e8i 0.937603 + 1.94695i
\(625\) −9.93631e7 + 1.24597e8i −0.406991 + 0.510351i
\(626\) −2.01769e8 2.53011e8i −0.822492 1.03137i
\(627\) −4.03935e8 + 1.94525e8i −1.63873 + 0.789172i
\(628\) 2.05935e8 + 4.70034e7i 0.831479 + 0.189780i
\(629\) −1.42000e8 3.24106e7i −0.570607 0.130237i
\(630\) 6.33302e7 5.05041e7i 0.253273 0.201979i
\(631\) −5.34130e7 + 1.10913e8i −0.212598 + 0.441464i −0.979810 0.199929i \(-0.935929\pi\)
0.767213 + 0.641393i \(0.221643\pi\)
\(632\) 1.16804e8 2.66598e7i 0.462709 0.105610i
\(633\) 6.34658e7 + 3.05635e7i 0.250224 + 0.120501i
\(634\) 1.39979e8 + 1.11629e8i 0.549280 + 0.438036i
\(635\) −2.76237e8 6.30494e7i −1.07885 0.246241i
\(636\) 2.37190e8 + 1.89152e8i 0.921986 + 0.735259i
\(637\) 5.67374e7 + 2.48583e8i 0.219509 + 0.961730i
\(638\) 2.60175e8 1.00185
\(639\) 7.33022e8i 2.80941i
\(640\) 8.83120e7 + 3.86920e8i 0.336884 + 1.47598i
\(641\) 1.24886e8 9.95935e7i 0.474177 0.378144i −0.357042 0.934088i \(-0.616215\pi\)
0.831219 + 0.555945i \(0.187643\pi\)
\(642\) −4.51012e8 + 2.17196e8i −1.70445 + 0.820818i
\(643\) −2.37101e8 1.14182e8i −0.891869 0.429502i −0.0689238 0.997622i \(-0.521957\pi\)
−0.822946 + 0.568120i \(0.807671\pi\)
\(644\) 1.24039e7i 0.0464410i
\(645\) −6.97367e8 1.06225e8i −2.59886 0.395866i
\(646\) 7.36600e8 2.73234
\(647\) −8.79624e6 + 1.82656e7i −0.0324776 + 0.0674405i −0.916576 0.399860i \(-0.869059\pi\)
0.884099 + 0.467300i \(0.154773\pi\)
\(648\) −7.40301e7 1.53725e8i −0.272072 0.564963i
\(649\) −2.14332e8 2.68764e8i −0.784068 0.983190i
\(650\) 4.21810e8 9.62753e7i 1.53595 0.350570i
\(651\) 2.96435e7 0.107445
\(652\) 1.78485e8i 0.643959i
\(653\) 4.90623e8 1.11981e8i 1.76201 0.402167i 0.785710 0.618595i \(-0.212298\pi\)
0.976299 + 0.216428i \(0.0694406\pi\)
\(654\) 5.78824e8 7.25822e8i 2.06925 2.59476i
\(655\) −8.72579e6 + 3.82302e7i −0.0310514 + 0.136045i
\(656\) 3.47136e7 4.35294e7i 0.122967 0.154195i
\(657\) 1.61865e8 3.36117e8i 0.570765 1.18521i
\(658\) 8.67478e6 + 3.80067e7i 0.0304496 + 0.133408i
\(659\) 3.74617e8 + 1.80406e8i 1.30898 + 0.630369i 0.952672 0.304001i \(-0.0983226\pi\)
0.356304 + 0.934370i \(0.384037\pi\)
\(660\) −2.11666e8 2.65421e8i −0.736240 0.923216i
\(661\) 1.75012e7 7.66776e7i 0.0605986 0.265500i −0.935548 0.353198i \(-0.885094\pi\)
0.996147 + 0.0876985i \(0.0279512\pi\)
\(662\) 1.10042e8 4.82127e8i 0.379303 1.66183i
\(663\) −3.74844e8 7.78372e8i −1.28620 2.67083i
\(664\) −1.37278e8 + 1.09475e8i −0.468918 + 0.373949i
\(665\) −3.75554e7 2.99494e7i −0.127705 0.101841i
\(666\) −2.31444e8 + 1.11458e8i −0.783472 + 0.377300i
\(667\) −1.26648e8 2.62987e8i −0.426797 0.886252i
\(668\) −1.56602e8 + 1.96373e8i −0.525374 + 0.658798i
\(669\) 4.23539e8 + 5.31101e8i 1.41454 + 1.77377i
\(670\) 6.38404e8 3.07439e8i 2.12261 1.02220i
\(671\) 7.26538e7 + 1.65828e7i 0.240487 + 0.0548895i
\(672\) 4.34209e7 + 9.91055e6i 0.143084 + 0.0326580i
\(673\) −2.29826e8 + 1.83280e8i −0.753970 + 0.601271i −0.923207 0.384304i \(-0.874441\pi\)
0.169236 + 0.985576i \(0.445870\pi\)
\(674\) 8.47480e7 1.75981e8i 0.276790 0.574760i
\(675\) −6.92507e8 + 1.58060e8i −2.25171 + 0.513939i
\(676\) −1.97210e6 949715.i −0.00638395 0.00307435i
\(677\) 1.50682e8 + 1.20165e8i 0.485620 + 0.387269i 0.835469 0.549537i \(-0.185196\pi\)
−0.349850 + 0.936806i \(0.613767\pi\)
\(678\) 1.97639e8 + 4.51098e7i 0.634137 + 0.144738i
\(679\) −1.06418e7 8.48659e6i −0.0339944 0.0271096i
\(680\) −1.00731e8 4.41333e8i −0.320360 1.40359i
\(681\) 7.12884e8 2.25724
\(682\) 2.34427e8i 0.739018i
\(683\) −6.20171e7 2.71715e8i −0.194648 0.852807i −0.974059 0.226295i \(-0.927339\pi\)
0.779411 0.626513i \(-0.215518\pi\)
\(684\) 3.61252e8 2.88089e8i 1.12887 0.900241i
\(685\) 4.66844e8 2.24820e8i 1.45245 0.699462i
\(686\) 6.10363e7 + 2.93936e7i 0.189067 + 0.0910500i
\(687\) 9.12966e8i 2.81569i
\(688\) −2.02548e8 3.52092e8i −0.621961 1.08116i
\(689\) −3.98148e8 −1.21727
\(690\) −4.64631e8 + 9.64816e8i −1.41436 + 2.93695i
\(691\) 8.19385e7 + 1.70147e8i 0.248344 + 0.515692i 0.987457 0.157890i \(-0.0504691\pi\)
−0.739112 + 0.673582i \(0.764755\pi\)
\(692\) −9.80482e7 1.22949e8i −0.295884 0.371027i
\(693\) 4.55418e7 1.03946e7i 0.136839 0.0312326i
\(694\) −2.15570e8 −0.644925
\(695\) 7.12327e8i 2.12190i
\(696\) 3.16138e8 7.21563e7i 0.937666 0.214016i
\(697\) −5.71185e7 + 7.16244e7i −0.168686 + 0.211525i
\(698\) −6.10815e7 + 2.67615e8i −0.179615 + 0.786946i
\(699\) −6.25450e7 + 7.84289e7i −0.183131 + 0.229639i
\(700\) 8.83800e6 1.83523e7i 0.0257668 0.0535053i
\(701\) −2.67033e7 1.16995e8i −0.0775196 0.339635i 0.921264 0.388937i \(-0.127158\pi\)
−0.998784 + 0.0493016i \(0.984300\pi\)
\(702\) −7.00064e8 3.37133e8i −2.02361 0.974519i
\(703\) 9.49790e7 + 1.19100e8i 0.273377 + 0.342804i
\(704\) −429140. + 1.88019e6i −0.00122993 + 0.00538868i
\(705\) 2.66367e8 1.16703e9i 0.760175 3.33054i
\(706\) −3.29815e8 6.84869e8i −0.937253 1.94623i
\(707\) −1.71725e7 + 1.36946e7i −0.0485931 + 0.0387517i
\(708\) 4.12731e8 + 3.29142e8i 1.16297 + 0.927436i
\(709\) −2.95645e8 + 1.42375e8i −0.829529 + 0.399480i −0.799938 0.600082i \(-0.795135\pi\)
−0.0295905 + 0.999562i \(0.509420\pi\)
\(710\) 4.01538e8 + 8.33802e8i 1.12189 + 2.32964i
\(711\) −3.88876e8 + 4.87636e8i −1.08194 + 1.35671i
\(712\) 2.07755e7 + 2.60517e7i 0.0575589 + 0.0721765i
\(713\) −2.36961e8 + 1.14114e8i −0.653745 + 0.314827i
\(714\) −1.11491e8 2.54471e7i −0.306299 0.0699107i
\(715\) 4.34366e8 + 9.91412e7i 1.18833 + 0.271229i
\(716\) −2.41465e7 + 1.92562e7i −0.0657833 + 0.0524604i
\(717\) 2.03143e8 4.21832e8i 0.551119 1.14441i
\(718\) 8.72191e7 1.99072e7i 0.235634 0.0537819i
\(719\) −1.82469e8 8.78725e7i −0.490911 0.236410i 0.172016 0.985094i \(-0.444972\pi\)
−0.662927 + 0.748684i \(0.730686\pi\)
\(720\) −1.11976e9 8.92980e8i −3.00005 2.39246i
\(721\) −9.04629e6 2.06476e6i −0.0241360 0.00550888i
\(722\) −2.35737e8 1.87994e8i −0.626349 0.499497i
\(723\) 1.63139e6 + 7.14759e6i 0.00431662 + 0.0189123i
\(724\) −9.61376e7 −0.253325
\(725\) 4.79344e8i 1.25786i
\(726\) 6.24869e7 + 2.73773e8i 0.163297 + 0.715452i
\(727\) 1.60072e8 1.27653e8i 0.416593 0.332222i −0.392658 0.919684i \(-0.628444\pi\)
0.809251 + 0.587463i \(0.199873\pi\)
\(728\) −1.62933e7 + 7.84643e6i −0.0422294 + 0.0203366i
\(729\) −3.04183e8 1.46487e8i −0.785150 0.378108i
\(730\) 4.70995e8i 1.21073i
\(731\) 3.33277e8 + 5.79341e8i 0.853206 + 1.48314i
\(732\) −1.14441e8 −0.291775
\(733\) −1.22980e8 + 2.55370e8i −0.312263 + 0.648421i −0.996746 0.0806079i \(-0.974314\pi\)
0.684483 + 0.729029i \(0.260028\pi\)
\(734\) −2.73104e8 5.67105e8i −0.690620 1.43409i
\(735\) −6.46161e8 8.10260e8i −1.62734 2.04062i
\(736\) −3.85245e8 + 8.79296e7i −0.966281 + 0.220547i
\(737\) 4.08626e8 1.02076
\(738\) 1.61572e8i 0.401974i
\(739\) −6.68834e8 + 1.52657e8i −1.65724 + 0.378254i −0.945865 0.324560i \(-0.894784\pi\)
−0.711374 + 0.702814i \(0.751927\pi\)
\(740\) −7.19198e7 + 9.01846e7i −0.177482 + 0.222555i
\(741\) −2.01062e8 + 8.80909e8i −0.494168 + 2.16509i
\(742\) −3.28597e7 + 4.12048e7i −0.0804363 + 0.100864i
\(743\) −8.15447e6 + 1.69329e7i −0.0198806 + 0.0412825i −0.910673 0.413129i \(-0.864436\pi\)
0.890792 + 0.454411i \(0.150150\pi\)
\(744\) −6.50155e7 2.84851e8i −0.157869 0.691671i
\(745\) 3.14340e8 + 1.51378e8i 0.760204 + 0.366095i
\(746\) 5.64802e8 + 7.08240e8i 1.36044 + 1.70594i
\(747\) 2.03402e8 8.91161e8i 0.487969 2.13793i
\(748\) −7.15753e7 + 3.13592e8i −0.171024 + 0.749307i
\(749\) −1.34199e7 2.78668e7i −0.0319378 0.0663195i
\(750\) −2.94692e8 + 2.35009e8i −0.698528 + 0.557058i
\(751\) −1.00057e8 7.97931e7i −0.236227 0.188385i 0.498220 0.867050i \(-0.333987\pi\)
−0.734447 + 0.678666i \(0.762558\pi\)
\(752\) 6.21030e8 2.99072e8i 1.46036 0.703271i
\(753\) −4.69832e8 9.75616e8i −1.10042 2.28504i
\(754\) 3.26928e8 4.09955e8i 0.762673 0.956362i
\(755\) 5.26365e8 + 6.60041e8i 1.22306 + 1.53366i
\(756\) −3.29590e7 + 1.58722e7i −0.0762797 + 0.0367344i
\(757\) −9.68705e7 2.21101e7i −0.223308 0.0509685i 0.109403 0.993997i \(-0.465106\pi\)
−0.332711 + 0.943029i \(0.607963\pi\)