Properties

Label 43.7.f.a.2.18
Level 43
Weight 7
Character 43.2
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 2.18
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.18

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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 0.975097 + 0.221781i \(0.0711869\pi\)
−0.434568 + 0.900639i \(0.643099\pi\)
\(3\) 20.4277 42.4185i 0.756580 1.57105i −0.0629486 0.998017i \(-0.520050\pi\)
0.819529 0.573038i \(-0.194235\pi\)
\(4\) −22.0266 + 27.6205i −0.344165 + 0.431570i
\(5\) −183.723 41.9336i −1.46979 0.335469i −0.588672 0.808372i \(-0.700349\pi\)
−0.881114 + 0.472903i \(0.843206\pi\)
\(6\) 469.225 2.17234
\(7\) 28.9921i 0.0845250i −0.999107 0.0422625i \(-0.986543\pi\)
0.999107 0.0422625i \(-0.0134566\pi\)
\(8\) 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 0.460510 0.887655i \(-0.347667\pi\)
−0.967872 + 0.251442i \(0.919095\pi\)
\(12\) 721.666 + 1498.56i 0.417631 + 0.867220i
\(13\) 485.731 2128.13i 0.221088 0.968650i −0.735573 0.677446i \(-0.763087\pi\)
0.956661 0.291205i \(-0.0940560\pi\)
\(14\) 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 −0.695158 0.718857i \(-0.744666\pi\)
0.314416 0.949285i \(-0.398191\pi\)
\(18\) 6432.80 13357.8i 1.10302 2.29044i
\(19\) 6873.88 + 5481.74i 1.00217 + 0.799203i 0.979685 0.200544i \(-0.0642709\pi\)
0.0224845 + 0.999747i \(0.492842\pi\)
\(20\) 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 0.988428 0.151691i \(-0.0484718\pi\)
−0.367834 + 0.929892i \(0.619900\pi\)
\(24\) 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 0.997687 + 0.0679796i \(0.0216553\pi\)
−0.568899 + 0.822407i \(0.692630\pi\)
\(30\) −86207.5 19676.3i −3.19287 0.728752i
\(31\) −19566.6 + 9422.77i −0.656795 + 0.316296i −0.732433 0.680839i \(-0.761615\pi\)
0.0756373 + 0.997135i \(0.475901\pi\)
\(32\) −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 \(-0.945290\pi\)
0.985266 0.171031i \(-0.0547098\pi\)
\(38\) −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 −0.361295 0.932452i \(-0.617665\pi\)
0.503757 + 0.863846i \(0.331951\pi\)
\(42\) 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 −0.189189 0.981941i \(-0.560586\pi\)
0.999420 0.0340568i \(-0.0108427\pi\)
\(48\) 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 −0.906904 0.421337i \(-0.861561\pi\)
0.634281 0.773103i \(-0.281296\pi\)
\(54\) −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 −0.790808 0.612064i \(-0.790339\pi\)
0.446928 0.894570i \(-0.352518\pi\)
\(60\) −69747.0 305582.i −0.322903 1.41473i
\(61\) −29853.3 + 61991.0i −0.131523 + 0.273111i −0.956322 0.292316i \(-0.905574\pi\)
0.824799 + 0.565427i \(0.191288\pi\)
\(62\) −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 0.217887 + 0.975974i \(0.430084\pi\)
−0.999989 + 0.00475081i \(0.998488\pi\)
\(68\) 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 0.990443 0.137919i \(-0.0440415\pi\)
0.0859329 + 0.996301i \(0.472613\pi\)
\(72\) −184442. 382998.i −0.494154 1.02612i
\(73\) −244490. 55803.3i −0.628482 0.143447i −0.103596 0.994619i \(-0.533035\pi\)
−0.524886 + 0.851172i \(0.675892\pi\)
\(74\) 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 −0.118173 0.992993i \(-0.537704\pi\)
−0.850033 + 0.526729i \(0.823418\pi\)
\(84\) 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 −0.861998 0.506911i \(-0.830787\pi\)
0.933766 + 0.357883i \(0.116501\pi\)
\(90\) −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 0.595163 0.803605i \(-0.297087\pi\)
−0.915893 + 0.401423i \(0.868516\pi\)
\(98\) 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 −0.497840 0.867269i \(-0.665873\pi\)
0.956304 + 0.292373i \(0.0944448\pi\)
\(102\) −877726. 3.84557e6i −0.827101 3.62377i
\(103\) −71218.0 312026.i −0.0651746 0.285548i 0.931830 0.362896i \(-0.118212\pi\)
−0.997004 + 0.0773476i \(0.975355\pi\)
\(104\) 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 −0.00171465 0.999999i \(-0.500546\pi\)
−0.782899 + 0.622148i \(0.786260\pi\)
\(108\) 547468. 1.13683e6i 0.434598 0.902452i
\(109\) 1.23358e6 + 1.54685e6i 0.952547 + 1.19446i 0.980832 + 0.194856i \(0.0624238\pi\)
−0.0282854 + 0.999600i \(0.509005\pi\)
\(110\) −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 −0.0740556 0.997254i \(-0.523594\pi\)
0.365971 + 0.930626i \(0.380737\pi\)
\(114\) 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 −0.0729421 0.997336i \(-0.523239\pi\)
0.734270 + 0.678857i \(0.237525\pi\)
\(128\) 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 0.920084 0.391722i \(-0.128120\pi\)
−0.879923 + 0.475116i \(0.842406\pi\)
\(132\) 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 −0.333211 0.942852i \(-0.608132\pi\)
−0.709301 + 0.704905i \(0.750989\pi\)
\(138\) 3.54301e6 + 4.44279e6i 1.34814 + 1.69051i
\(139\) 841122. + 3.68519e6i 0.313195 + 1.37220i 0.849240 + 0.528007i \(0.177060\pi\)
−0.536046 + 0.844189i \(0.680082\pi\)
\(140\) −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 −0.817367 0.576118i \(-0.804567\pi\)
0.379792 + 0.925072i \(0.375996\pi\)
\(150\) 8.40765e6 + 4.04891e6i 2.49116 + 1.19968i
\(151\) −1.94375e6 + 4.03623e6i −0.564558 + 1.17232i 0.401945 + 0.915664i \(0.368334\pi\)
−0.966504 + 0.256653i \(0.917380\pi\)
\(152\) 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 −0.208075 0.978113i \(-0.566720\pi\)
−0.999891 + 0.0147929i \(0.995291\pi\)
\(158\) 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 −0.0503935 0.998729i \(-0.516048\pi\)
0.962476 + 0.271368i \(0.0874761\pi\)
\(164\) −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 0.460053 + 0.887891i \(0.347830\pi\)
−0.799735 + 0.600353i \(0.795027\pi\)
\(168\) −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 \(0.0242832\pi\)
−0.997091 + 0.0762140i \(0.975717\pi\)
\(180\) −9.65546e6 2.20380e6i −1.65560 0.377880i
\(181\) 1.69670e6 + 2.12759e6i 0.286134 + 0.358801i 0.904037 0.427453i \(-0.140589\pi\)
−0.617903 + 0.786254i \(0.712018\pi\)
\(182\) −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 0.978387 0.206782i \(-0.0662990\pi\)
0.0161143 + 0.999870i \(0.494870\pi\)
\(192\) 65542.0 52268.0i 0.00926010 0.00738469i
\(193\) −519230. 250048.i −0.0722250 0.0347817i 0.397423 0.917636i \(-0.369905\pi\)
−0.469648 + 0.882854i \(0.655619\pi\)
\(194\) 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 −0.463848 0.885915i \(-0.653532\pi\)
−0.981841 + 0.189708i \(0.939246\pi\)
\(198\) −1.56555e7 + 3.57326e6i −2.01684 + 0.460330i
\(199\) 4.28724e6 978536.i 0.544025 0.124170i 0.0583282 0.998297i \(-0.481423\pi\)
0.485697 + 0.874127i \(0.338566\pi\)
\(200\) 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 0.683771 0.729696i \(-0.260339\pi\)
−0.559248 + 0.829000i \(0.688910\pi\)
\(212\) 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 0.803228 0.595672i \(-0.203114\pi\)
0.465231 + 0.885189i \(0.345971\pi\)
\(224\) 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 0.967623 + 0.252400i \(0.0812200\pi\)
−0.405968 + 0.913887i \(0.633066\pi\)
\(228\) −3.25404e6 + 1.42569e7i −0.274548 + 1.20287i
\(229\) 1.74711e7 8.41362e6i 1.45483 0.700610i 0.471405 0.881917i \(-0.343747\pi\)
0.983427 + 0.181307i \(0.0580328\pi\)
\(230\) 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 −0.861226 0.508223i \(-0.830303\pi\)
0.934310 + 0.356462i \(0.116017\pi\)
\(234\) −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 −0.955216 0.295908i \(-0.904378\pi\)
0.501045 + 0.865421i \(0.332949\pi\)
\(240\) −4.08391e7 1.96671e7i −2.95422 1.42268i
\(241\) 151815. 34650.8i 0.0108458 0.00247549i −0.217095 0.976151i \(-0.569658\pi\)
0.227940 + 0.973675i \(0.426801\pi\)
\(242\) 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 \(0.0895827\pi\)
−0.960659 + 0.277732i \(0.910417\pi\)
\(258\) 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 0.192497 0.981298i \(-0.438342\pi\)
−0.252335 + 0.967640i \(0.581199\pi\)
\(264\) −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 0.997618 + 0.0689867i \(0.0219766\pi\)
−0.154734 + 0.987956i \(0.549452\pi\)
\(270\) 2.91051e7 + 6.04373e7i 1.47869 + 3.07053i
\(271\) −1.85242e6 + 8.11597e6i −0.0930746 + 0.407786i −0.999906 0.0137070i \(-0.995637\pi\)
0.906831 + 0.421493i \(0.138494\pi\)
\(272\) 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 0.604351 0.796718i \(-0.293432\pi\)
−0.642262 + 0.766485i \(0.722004\pi\)
\(278\) −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 0.482797 0.875732i \(-0.339621\pi\)
−0.961208 + 0.275824i \(0.911049\pi\)
\(282\) 3.94715e7 4.94957e7i 1.76009 2.20709i
\(283\) −7.19187e6 3.46342e6i −0.317309 0.152808i 0.268449 0.963294i \(-0.413489\pi\)
−0.585758 + 0.810486i \(0.699203\pi\)
\(284\) −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 0.668511 + 0.743702i \(0.266932\pi\)
−0.924988 + 0.379996i \(0.875925\pi\)
\(294\) 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 −0.994005 0.109332i \(-0.965129\pi\)
0.848130 0.529788i \(-0.177728\pi\)
\(312\) −1.83103e7 2.29603e7i −0.602880 0.755987i
\(313\) 1.40884e7 + 2.92550e7i 0.459441 + 0.954040i 0.994048 + 0.108939i \(0.0347454\pi\)
−0.534607 + 0.845101i \(0.679540\pi\)
\(314\) 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 −0.998113 0.0614101i \(-0.980440\pi\)
0.872624 0.488393i \(-0.162417\pi\)
\(318\) −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 0.829276 0.558839i \(-0.188753\pi\)
0.504681 + 0.863306i \(0.331610\pi\)
\(332\) 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 −0.982571 0.185889i \(-0.940483\pi\)
0.757957 + 0.652305i \(0.226198\pi\)
\(348\) −2.49951e7 + 3.13429e7i −0.593086 + 0.743706i
\(349\) −2.68519e7 6.12878e6i −0.631683 0.144178i −0.105321 0.994438i \(-0.533587\pi\)
−0.526362 + 0.850261i \(0.676444\pi\)
\(350\) 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 0.930175 + 0.367116i \(0.119655\pi\)
0.150928 + 0.988545i \(0.451774\pi\)
\(354\) −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 −0.717663 0.696390i \(-0.754788\pi\)
0.838625 + 0.544709i \(0.183360\pi\)
\(360\) 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 0.999804 + 0.0197863i \(0.00629858\pi\)
−0.203187 + 0.979140i \(0.565130\pi\)
\(368\) −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 −0.814942 0.579542i \(-0.803232\pi\)
0.0550042 0.998486i \(-0.482483\pi\)
\(374\) −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 −0.972395 0.233340i \(-0.925034\pi\)
0.977340 + 0.211674i \(0.0678916\pi\)
\(380\) 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 0.605267 0.796023i \(-0.293066\pi\)
−0.641380 + 0.767223i \(0.721638\pi\)
\(384\) 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 0.678629 0.734481i \(-0.262574\pi\)
−0.997359 + 0.0726318i \(0.976860\pi\)
\(390\) −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 0.994867 0.101187i \(-0.0322642\pi\)
−0.940248 + 0.340490i \(0.889407\pi\)
\(398\) 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 −0.390965 0.920406i \(-0.627859\pi\)
0.475840 + 0.879532i \(0.342144\pi\)
\(402\) −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 0.389052 + 0.921216i \(0.372803\pi\)
−0.962805 + 0.270195i \(0.912912\pi\)
\(410\) −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 −0.605121 0.796134i \(-0.706875\pi\)
0.641521 + 0.767105i \(0.278304\pi\)
\(420\) −8.85944e6 + 2.02211e6i −0.119580 + 0.0272933i
\(421\) −6.02962e7 + 4.80846e7i −0.808060 + 0.644406i −0.937813 0.347140i \(-0.887153\pi\)
0.129754 + 0.991546i \(0.458581\pi\)
\(422\) −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 −0.681529 0.731791i \(-0.738685\pi\)
0.997064 + 0.0765761i \(0.0243988\pi\)
\(434\) −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 0.797783 0.602945i \(-0.206006\pi\)
−0.765351 + 0.643613i \(0.777435\pi\)
\(440\) 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 −0.681940 0.731408i \(-0.738864\pi\)
0.931753 0.363093i \(-0.118279\pi\)
\(444\) 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 0.675697 0.737180i \(-0.263843\pi\)
−0.568340 + 0.822794i \(0.692414\pi\)
\(450\) 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 −0.685486 0.728086i \(-0.740410\pi\)
−0.301697 + 0.953404i \(0.597553\pi\)
\(458\) 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 −0.688280 0.725445i \(-0.741634\pi\)
0.138040 + 0.990427i \(0.455920\pi\)
\(462\) −1.15197e7 + 9.18664e6i −0.116819 + 0.0931602i
\(463\) 1.42598e8 3.25471e7i 1.43672 0.327921i 0.567917 0.823086i \(-0.307749\pi\)
0.868799 + 0.495164i \(0.164892\pi\)
\(464\) −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 \(-0.767929\pi\)
0.745793 0.666177i \(-0.232071\pi\)
\(468\) 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 0.120439 0.992721i \(-0.461570\pi\)
0.851233 + 0.524788i \(0.175855\pi\)
\(488\) −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 −0.602621 0.798027i \(-0.705877\pi\)
0.999651 0.0264138i \(-0.00840875\pi\)
\(492\) 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 −0.446796 0.894636i \(-0.647435\pi\)
−0.0143810 + 0.999897i \(0.504578\pi\)
\(500\) 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 0.0564453 0.998406i \(-0.482023\pi\)
−0.382337 + 0.924023i \(0.624880\pi\)
\(504\) −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 0.522102 0.852883i \(-0.325148\pi\)
0.100346 + 0.994953i \(0.468005\pi\)
\(522\) 3.57347e8 2.51234
\(523\) 1.03523e8i 0.723653i −0.932245 0.361827i \(-0.882153\pi\)
0.932245 0.361827i \(-0.117847\pi\)
\(524\) −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 0.695697 0.718335i \(-0.255096\pi\)
−0.127857 + 0.991793i \(0.540810\pi\)
\(542\) −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 −0.678103 0.734967i \(-0.737198\pi\)
0.151830 + 0.988407i \(0.451483\pi\)
\(548\) 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 0.443075 0.896485i \(-0.353888\pi\)
0.977153 + 0.212539i \(0.0681733\pi\)
\(558\) 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 −0.422712 0.906264i \(-0.638922\pi\)
0.977604 + 0.210451i \(0.0674932\pi\)
\(564\) 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 0.971205 + 0.238246i \(0.0765724\pi\)
−0.771654 + 0.636042i \(0.780570\pi\)
\(570\) −4.84720e8 6.07819e8i −2.61738 3.28209i
\(571\) 1.35954e7 + 2.82312e7i 0.0730271 + 0.151642i 0.934286 0.356523i \(-0.116038\pi\)
−0.861259 + 0.508166i \(0.830324\pi\)
\(572\) 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 −0.912350 0.409411i \(-0.865734\pi\)
0.888931 + 0.458040i \(0.151448\pi\)
\(578\) −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 0.290016 0.957022i \(-0.406339\pi\)
−0.868493 + 0.495702i \(0.834911\pi\)
\(588\) 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 −0.00584655 0.999983i \(-0.501861\pi\)
0.973610 + 0.228217i \(0.0732896\pi\)
\(594\) −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 0.245361 0.969432i \(-0.421093\pi\)
−0.604952 + 0.796262i \(0.706808\pi\)
\(600\) 2.41065e8 1.16091e8i 1.11604 0.537457i
\(601\) 3.57119e8i 1.64509i 0.568699 + 0.822546i \(0.307447\pi\)
−0.568699 + 0.822546i \(0.692553\pi\)
\(602\) 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 0.345454 0.938436i \(-0.387725\pi\)
−0.0959290 + 0.995388i \(0.530582\pi\)
\(608\) −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 0.582587 0.812769i \(-0.302041\pi\)
−0.922029 + 0.387122i \(0.873469\pi\)
\(614\) −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 −0.00957373 + 0.999954i \(0.503047\pi\)
−0.972753 + 0.231844i \(0.925524\pi\)
\(618\) −3.34173e7 1.46411e8i −0.141581 0.620307i
\(619\) 3.38851e7 + 1.48460e8i 0.142869 + 0.625949i 0.994761 + 0.102231i \(0.0325981\pi\)
−0.851892 + 0.523718i \(0.824545\pi\)
\(620\) −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 0.767213 0.641393i \(-0.221643\pi\)
−0.979810 + 0.199929i \(0.935929\pi\)
\(632\) 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 0.831219 0.555945i \(-0.187643\pi\)
−0.357042 + 0.934088i \(0.616215\pi\)
\(642\) −4.51012e8 2.17196e8i −1.70445 0.820818i
\(643\) −2.37101e8 + 1.14182e8i −0.891869 + 0.429502i −0.822946 0.568120i \(-0.807671\pi\)
−0.0689238 + 0.997622i \(0.521957\pi\)
\(644\) 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 0.884099 0.467300i \(-0.154773\pi\)
−0.916576 + 0.399860i \(0.869059\pi\)
\(648\) −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 0.976299 0.216428i \(-0.0694406\pi\)
0.785710 + 0.618595i \(0.212298\pi\)
\(654\) 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 0.356304 0.934370i \(-0.384037\pi\)
0.952672 + 0.304001i \(0.0983226\pi\)
\(660\) −2.11666e8 + 2.65421e8i −0.736240 + 0.923216i
\(661\) 1.75012e7 + 7.66776e7i 0.0605986 + 0.265500i 0.996147 0.0876985i \(-0.0279512\pi\)
−0.935548 + 0.353198i \(0.885094\pi\)
\(662\) 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 0.169236 0.985576i \(-0.445870\pi\)
−0.923207 + 0.384304i \(0.874441\pi\)
\(674\) 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 −0.349850 0.936806i \(-0.613767\pi\)
0.835469 + 0.549537i \(0.185196\pi\)
\(678\) 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 0.779411 + 0.626513i \(0.215518\pi\)
−0.974059 + 0.226295i \(0.927339\pi\)
\(684\) 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 −0.739112 0.673582i \(-0.764755\pi\)
0.987457 + 0.157890i \(0.0504691\pi\)
\(692\) −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 −0.998784 0.0493016i \(-0.984300\pi\)
0.921264 + 0.388937i \(0.127158\pi\)
\(702\) −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 −0.0295905 0.999562i \(-0.509420\pi\)
−0.799938 + 0.600082i \(0.795135\pi\)
\(710\) 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 −0.662927 0.748684i \(-0.730686\pi\)
0.172016 + 0.985094i \(0.444972\pi\)
\(720\) −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 0.809251 0.587463i \(-0.199873\pi\)
−0.392658 + 0.919684i \(0.628444\pi\)
\(728\) −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 0.684483 0.729029i \(-0.260028\pi\)
−0.996746 + 0.0806079i \(0.974314\pi\)
\(734\) −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 −0.711374 0.702814i \(-0.751927\pi\)
−0.945865 + 0.324560i \(0.894784\pi\)
\(740\) −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 0.890792 0.454411i \(-0.150150\pi\)
−0.910673 + 0.413129i \(0.864436\pi\)
\(744\) −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 −0.734447 0.678666i \(-0.762558\pi\)
0.498220 + 0.867050i \(0.333987\pi\)
\(752\) 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 + 2.21101e7