Properties

Label 19.7.f.a.3.2
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.2
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.22147 + 7.41446i) q^{2} +(3.87015 + 10.6332i) q^{3} +(-5.15404 - 29.2300i) q^{4} +(-26.3442 + 149.405i) q^{5} +(-102.917 - 37.4588i) q^{6} +(-266.785 - 462.086i) q^{7} +(-287.668 - 166.085i) q^{8} +(460.361 - 386.288i) q^{9} +O(q^{10})\) \(q+(-6.22147 + 7.41446i) q^{2} +(3.87015 + 10.6332i) q^{3} +(-5.15404 - 29.2300i) q^{4} +(-26.3442 + 149.405i) q^{5} +(-102.917 - 37.4588i) q^{6} +(-266.785 - 462.086i) q^{7} +(-287.668 - 166.085i) q^{8} +(460.361 - 386.288i) q^{9} +(-943.861 - 1124.85i) q^{10} +(-1054.16 + 1825.87i) q^{11} +(290.860 - 167.928i) q^{12} +(-381.977 + 1049.47i) q^{13} +(5085.91 + 896.784i) q^{14} +(-1690.61 + 298.100i) q^{15} +(4806.17 - 1749.30i) q^{16} +(-642.045 - 538.740i) q^{17} +5816.61i q^{18} +(-2762.43 + 6278.12i) q^{19} +4502.90 q^{20} +(3880.93 - 4625.11i) q^{21} +(-6979.36 - 19175.6i) q^{22} +(1517.27 + 8604.87i) q^{23} +(652.691 - 3701.59i) q^{24} +(-6945.25 - 2527.87i) q^{25} +(-5404.82 - 9361.42i) q^{26} +(13033.0 + 7524.61i) q^{27} +(-12131.8 + 10179.8i) q^{28} +(-41.4404 - 49.3867i) q^{29} +(8307.81 - 14389.6i) q^{30} +(-45269.9 + 26136.6i) q^{31} +(-9660.35 + 26541.6i) q^{32} +(-23494.5 - 4142.71i) q^{33} +(7988.93 - 1408.66i) q^{34} +(76066.3 - 27685.9i) q^{35} +(-13663.9 - 11465.4i) q^{36} -8618.84i q^{37} +(-29362.5 - 59541.1i) q^{38} -12637.5 q^{39} +(32392.4 - 38603.8i) q^{40} +(29963.5 + 82323.9i) q^{41} +(10147.6 + 57550.0i) q^{42} +(9878.56 - 56024.1i) q^{43} +(58803.3 + 21402.7i) q^{44} +(45585.7 + 78956.8i) q^{45} +(-73240.1 - 42285.2i) q^{46} +(37610.6 - 31559.0i) q^{47} +(37201.2 + 44334.7i) q^{48} +(-83524.3 + 144668. i) q^{49} +(61952.5 - 35768.3i) q^{50} +(3243.69 - 8911.97i) q^{51} +(32644.9 + 5756.17i) q^{52} +(174215. - 30718.7i) q^{53} +(-136875. + 49818.6i) q^{54} +(-245023. - 205599. i) q^{55} +177236. i q^{56} +(-77447.3 - 5076.07i) q^{57} +623.996 q^{58} +(-47074.8 + 56101.5i) q^{59} +(17426.9 + 47880.1i) q^{60} +(-52741.3 - 299111. i) q^{61} +(87856.8 - 498260. i) q^{62} +(-301316. - 109670. i) q^{63} +(26977.9 + 46727.1i) q^{64} +(-146734. - 84717.0i) q^{65} +(176886. - 148425. i) q^{66} +(316190. + 376821. i) q^{67} +(-12438.3 + 21543.7i) q^{68} +(-85624.9 + 49435.5i) q^{69} +(-267969. + 736238. i) q^{70} +(-103445. - 18240.2i) q^{71} +(-196588. + 34663.7i) q^{72} +(319079. - 116135. i) q^{73} +(63904.0 + 53621.9i) q^{74} -83633.2i q^{75} +(197747. + 48388.2i) q^{76} +1.12494e6 q^{77} +(78624.0 - 93700.4i) q^{78} +(173021. + 475371. i) q^{79} +(134741. + 764152. i) q^{80} +(46504.3 - 263739. i) q^{81} +(-796804. - 290013. i) q^{82} +(-431195. - 746851. i) q^{83} +(-155195. - 89601.6i) q^{84} +(97404.8 - 81732.3i) q^{85} +(353929. + 421797. i) q^{86} +(364.756 - 631.776i) q^{87} +(606499. - 350162. i) q^{88} +(-51988.6 + 142838. i) q^{89} +(-869032. - 153234. i) q^{90} +(586853. - 103478. i) q^{91} +(243701. - 88699.7i) q^{92} +(-453116. - 380210. i) q^{93} +475206. i q^{94} +(-865212. - 578114. i) q^{95} -319608. q^{96} +(-149536. + 178210. i) q^{97} +(-552994. - 1.51934e6i) q^{98} +(220015. + 1.24777e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} + O(q^{10}) \) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.22147 + 7.41446i −0.777684 + 0.926808i −0.998826 0.0484339i \(-0.984577\pi\)
0.221142 + 0.975242i \(0.429021\pi\)
\(3\) 3.87015 + 10.6332i 0.143339 + 0.393820i 0.990499 0.137517i \(-0.0439120\pi\)
−0.847161 + 0.531337i \(0.821690\pi\)
\(4\) −5.15404 29.2300i −0.0805319 0.456719i
\(5\) −26.3442 + 149.405i −0.210754 + 1.19524i 0.677371 + 0.735641i \(0.263119\pi\)
−0.888125 + 0.459602i \(0.847992\pi\)
\(6\) −102.917 37.4588i −0.476468 0.173420i
\(7\) −266.785 462.086i −0.777800 1.34719i −0.933207 0.359338i \(-0.883002\pi\)
0.155408 0.987850i \(-0.450331\pi\)
\(8\) −287.668 166.085i −0.561852 0.324385i
\(9\) 460.361 386.288i 0.631496 0.529888i
\(10\) −943.861 1124.85i −0.943861 1.12485i
\(11\) −1054.16 + 1825.87i −0.792010 + 1.37180i 0.132711 + 0.991155i \(0.457632\pi\)
−0.924721 + 0.380646i \(0.875702\pi\)
\(12\) 290.860 167.928i 0.168322 0.0971808i
\(13\) −381.977 + 1049.47i −0.173863 + 0.477685i −0.995764 0.0919456i \(-0.970691\pi\)
0.821901 + 0.569630i \(0.192914\pi\)
\(14\) 5085.91 + 896.784i 1.85347 + 0.326816i
\(15\) −1690.61 + 298.100i −0.500920 + 0.0883258i
\(16\) 4806.17 1749.30i 1.17338 0.427076i
\(17\) −642.045 538.740i −0.130683 0.109656i 0.575104 0.818081i \(-0.304962\pi\)
−0.705786 + 0.708425i \(0.749406\pi\)
\(18\) 5816.61i 0.997361i
\(19\) −2762.43 + 6278.12i −0.402746 + 0.915312i
\(20\) 4502.90 0.562863
\(21\) 3880.93 4625.11i 0.419062 0.499418i
\(22\) −6979.36 19175.6i −0.655462 1.80087i
\(23\) 1517.27 + 8604.87i 0.124704 + 0.707230i 0.981483 + 0.191547i \(0.0613506\pi\)
−0.856780 + 0.515683i \(0.827538\pi\)
\(24\) 652.691 3701.59i 0.0472143 0.267766i
\(25\) −6945.25 2527.87i −0.444496 0.161783i
\(26\) −5404.82 9361.42i −0.307511 0.532625i
\(27\) 13033.0 + 7524.61i 0.662146 + 0.382290i
\(28\) −12131.8 + 10179.8i −0.552649 + 0.463728i
\(29\) −41.4404 49.3867i −0.00169914 0.00202496i 0.765194 0.643800i \(-0.222643\pi\)
−0.766893 + 0.641775i \(0.778198\pi\)
\(30\) 8307.81 14389.6i 0.307697 0.532946i
\(31\) −45269.9 + 26136.6i −1.51958 + 0.877333i −0.519851 + 0.854257i \(0.674013\pi\)
−0.999734 + 0.0230756i \(0.992654\pi\)
\(32\) −9660.35 + 26541.6i −0.294810 + 0.809985i
\(33\) −23494.5 4142.71i −0.653769 0.115277i
\(34\) 7988.93 1408.66i 0.203260 0.0358402i
\(35\) 76066.3 27685.9i 1.77414 0.645735i
\(36\) −13663.9 11465.4i −0.292866 0.245743i
\(37\) 8618.84i 0.170155i −0.996374 0.0850773i \(-0.972886\pi\)
0.996374 0.0850773i \(-0.0271137\pi\)
\(38\) −29362.5 59541.1i −0.535109 1.08509i
\(39\) −12637.5 −0.213043
\(40\) 32392.4 38603.8i 0.506131 0.603184i
\(41\) 29963.5 + 82323.9i 0.434751 + 1.19447i 0.942864 + 0.333177i \(0.108121\pi\)
−0.508113 + 0.861290i \(0.669657\pi\)
\(42\) 10147.6 + 57550.0i 0.136967 + 0.776779i
\(43\) 9878.56 56024.1i 0.124248 0.704644i −0.857504 0.514477i \(-0.827986\pi\)
0.981752 0.190167i \(-0.0609028\pi\)
\(44\) 58803.3 + 21402.7i 0.690310 + 0.251252i
\(45\) 45585.7 + 78956.8i 0.500255 + 0.866467i
\(46\) −73240.1 42285.2i −0.752447 0.434425i
\(47\) 37610.6 31559.0i 0.362257 0.303969i −0.443433 0.896308i \(-0.646240\pi\)
0.805689 + 0.592338i \(0.201795\pi\)
\(48\) 37201.2 + 44334.7i 0.336383 + 0.400885i
\(49\) −83524.3 + 144668.i −0.709945 + 1.22966i
\(50\) 61952.5 35768.3i 0.495620 0.286146i
\(51\) 3243.69 8911.97i 0.0244528 0.0671836i
\(52\) 32644.9 + 5756.17i 0.232169 + 0.0409377i
\(53\) 174215. 30718.7i 1.17019 0.206336i 0.445418 0.895323i \(-0.353055\pi\)
0.724774 + 0.688986i \(0.241944\pi\)
\(54\) −136875. + 49818.6i −0.869249 + 0.316381i
\(55\) −245023. 205599.i −1.47272 1.23576i
\(56\) 177236.i 1.00923i
\(57\) −77447.3 5076.07i −0.418198 0.0274096i
\(58\) 623.996 0.00319814
\(59\) −47074.8 + 56101.5i −0.229209 + 0.273161i −0.868375 0.495908i \(-0.834835\pi\)
0.639166 + 0.769069i \(0.279280\pi\)
\(60\) 17426.9 + 47880.1i 0.0806802 + 0.221667i
\(61\) −52741.3 299111.i −0.232360 1.31778i −0.848103 0.529832i \(-0.822255\pi\)
0.615743 0.787947i \(-0.288856\pi\)
\(62\) 87856.8 498260.i 0.368638 2.09065i
\(63\) −301316. 109670.i −1.20504 0.438597i
\(64\) 26977.9 + 46727.1i 0.102913 + 0.178250i
\(65\) −146734. 84717.0i −0.534307 0.308482i
\(66\) 176886. 148425.i 0.615265 0.516269i
\(67\) 316190. + 376821.i 1.05129 + 1.25288i 0.966550 + 0.256480i \(0.0825627\pi\)
0.0847437 + 0.996403i \(0.472993\pi\)
\(68\) −12438.3 + 21543.7i −0.0395579 + 0.0685162i
\(69\) −85624.9 + 49435.5i −0.260647 + 0.150485i
\(70\) −267969. + 736238.i −0.781250 + 2.14647i
\(71\) −103445. 18240.2i −0.289025 0.0509629i 0.0272560 0.999628i \(-0.491323\pi\)
−0.316281 + 0.948666i \(0.602434\pi\)
\(72\) −196588. + 34663.7i −0.526695 + 0.0928705i
\(73\) 319079. 116135.i 0.820219 0.298535i 0.102381 0.994745i \(-0.467354\pi\)
0.717838 + 0.696210i \(0.245132\pi\)
\(74\) 63904.0 + 53621.9i 0.157701 + 0.132326i
\(75\) 83633.2i 0.198242i
\(76\) 197747. + 48388.2i 0.450474 + 0.110230i
\(77\) 1.12494e6 2.46410
\(78\) 78624.0 93700.4i 0.165680 0.197450i
\(79\) 173021. + 475371.i 0.350927 + 0.964165i 0.982073 + 0.188501i \(0.0603628\pi\)
−0.631146 + 0.775664i \(0.717415\pi\)
\(80\) 134741. + 764152.i 0.263165 + 1.49248i
\(81\) 46504.3 263739.i 0.0875061 0.496272i
\(82\) −796804. 290013.i −1.44514 0.525988i
\(83\) −431195. 746851.i −0.754117 1.30617i −0.945812 0.324715i \(-0.894732\pi\)
0.191694 0.981455i \(-0.438602\pi\)
\(84\) −155195. 89601.6i −0.261842 0.151174i
\(85\) 97404.8 81732.3i 0.158607 0.133087i
\(86\) 353929. + 421797.i 0.556444 + 0.663144i
\(87\) 364.756 631.776i 0.000553917 0.000959413i
\(88\) 606499. 350162.i 0.889984 0.513832i
\(89\) −51988.6 + 142838.i −0.0737460 + 0.202615i −0.971089 0.238719i \(-0.923273\pi\)
0.897343 + 0.441334i \(0.145495\pi\)
\(90\) −869032. 153234.i −1.19209 0.210197i
\(91\) 586853. 103478.i 0.778762 0.137317i
\(92\) 243701. 88699.7i 0.312963 0.113909i
\(93\) −453116. 380210.i −0.563327 0.472688i
\(94\) 475206.i 0.572134i
\(95\) −865212. 578114.i −1.00914 0.674284i
\(96\) −319608. −0.361246
\(97\) −149536. + 178210.i −0.163844 + 0.195262i −0.841720 0.539915i \(-0.818456\pi\)
0.677876 + 0.735177i \(0.262901\pi\)
\(98\) −552994. 1.51934e6i −0.587546 1.61427i
\(99\) 220015. + 1.24777e6i 0.226750 + 1.28596i
\(100\) −38093.4 + 216039.i −0.0380934 + 0.216039i
\(101\) 77395.2 + 28169.6i 0.0751190 + 0.0273411i 0.379306 0.925271i \(-0.376163\pi\)
−0.304187 + 0.952612i \(0.598385\pi\)
\(102\) 45896.9 + 79495.8i 0.0432497 + 0.0749107i
\(103\) −720250. 415836.i −0.659131 0.380549i 0.132815 0.991141i \(-0.457598\pi\)
−0.791946 + 0.610592i \(0.790932\pi\)
\(104\) 284185. 238459.i 0.252639 0.211989i
\(105\) 588777. + 701677.i 0.508607 + 0.606135i
\(106\) −856109. + 1.48282e6i −0.718805 + 1.24501i
\(107\) −1.32555e6 + 765308.i −1.08204 + 0.624719i −0.931447 0.363876i \(-0.881453\pi\)
−0.150598 + 0.988595i \(0.548120\pi\)
\(108\) 152772. 419737.i 0.121275 0.333201i
\(109\) 1.58600e6 + 279654.i 1.22468 + 0.215944i 0.748339 0.663316i \(-0.230851\pi\)
0.476342 + 0.879260i \(0.341963\pi\)
\(110\) 3.04881e6 537587.i 2.29062 0.403897i
\(111\) 91645.4 33356.2i 0.0670103 0.0243898i
\(112\) −2.09054e6 1.75418e6i −1.48801 1.24859i
\(113\) 404808.i 0.280552i 0.990112 + 0.140276i \(0.0447990\pi\)
−0.990112 + 0.140276i \(0.955201\pi\)
\(114\) 519472. 542649.i 0.350629 0.366273i
\(115\) −1.32559e6 −0.871594
\(116\) −1229.99 + 1465.85i −0.000788003 + 0.000939105i
\(117\) 229552. + 630689.i 0.143326 + 0.393784i
\(118\) −123088. 698068.i −0.0749153 0.424866i
\(119\) −77655.8 + 440408.i −0.0460822 + 0.261345i
\(120\) 535843. + 195031.i 0.310094 + 0.112865i
\(121\) −1.33675e6 2.31531e6i −0.754558 1.30693i
\(122\) 2.54587e6 + 1.46986e6i 1.40203 + 0.809462i
\(123\) −759400. + 637212.i −0.408089 + 0.342427i
\(124\) 997297. + 1.18853e6i 0.523070 + 0.623370i
\(125\) −624592. + 1.08183e6i −0.319791 + 0.553895i
\(126\) 2.68777e6 1.55179e6i 1.34363 0.775747i
\(127\) 328044. 901293.i 0.160148 0.440002i −0.833502 0.552516i \(-0.813668\pi\)
0.993650 + 0.112513i \(0.0358901\pi\)
\(128\) −2.29451e6 404585.i −1.09411 0.192921i
\(129\) 633945. 111782.i 0.295313 0.0520716i
\(130\) 1.54103e6 560890.i 0.701426 0.255298i
\(131\) 1.47202e6 + 1.23517e6i 0.654788 + 0.549433i 0.908520 0.417842i \(-0.137213\pi\)
−0.253731 + 0.967275i \(0.581658\pi\)
\(132\) 708097.i 0.307872i
\(133\) 3.63801e6 398431.i 1.54635 0.169355i
\(134\) −4.76109e6 −1.97876
\(135\) −1.46756e6 + 1.74897e6i −0.596479 + 0.710856i
\(136\) 95219.1 + 261612.i 0.0378536 + 0.104002i
\(137\) 827385. + 4.69233e6i 0.321770 + 1.82485i 0.531462 + 0.847082i \(0.321643\pi\)
−0.209692 + 0.977768i \(0.567246\pi\)
\(138\) 166175. 942424.i 0.0632307 0.358599i
\(139\) −1.72403e6 627497.i −0.641950 0.233651i 0.000474156 1.00000i \(-0.499849\pi\)
−0.642424 + 0.766349i \(0.722071\pi\)
\(140\) −1.20131e6 2.08073e6i −0.437795 0.758282i
\(141\) 481130. + 277781.i 0.171635 + 0.0990934i
\(142\) 778822. 653510.i 0.272003 0.228237i
\(143\) −1.51353e6 1.80376e6i −0.517587 0.616836i
\(144\) 1.53684e6 2.66188e6i 0.514683 0.891458i
\(145\) 8470.36 4890.36i 0.00277842 0.00160412i
\(146\) −1.12406e6 + 3.08833e6i −0.361186 + 0.992351i
\(147\) −1.86153e6 328239.i −0.586029 0.103333i
\(148\) −251929. + 44421.9i −0.0777128 + 0.0137029i
\(149\) 203975. 74240.8i 0.0616621 0.0224432i −0.311005 0.950408i \(-0.600666\pi\)
0.372667 + 0.927965i \(0.378443\pi\)
\(150\) 620095. + 520321.i 0.183732 + 0.154169i
\(151\) 1.05808e6i 0.307318i −0.988124 0.153659i \(-0.950894\pi\)
0.988124 0.153659i \(-0.0491057\pi\)
\(152\) 1.83737e6 1.34722e6i 0.523197 0.383625i
\(153\) −503681. −0.140631
\(154\) −6.99880e6 + 8.34084e6i −1.91629 + 2.28375i
\(155\) −2.71235e6 7.45212e6i −0.728368 2.00117i
\(156\) 65134.3 + 369395.i 0.0171568 + 0.0973010i
\(157\) 395673. 2.24397e6i 0.102244 0.579854i −0.890041 0.455880i \(-0.849325\pi\)
0.992285 0.123975i \(-0.0395642\pi\)
\(158\) −4.60107e6 1.67465e6i −1.16651 0.424574i
\(159\) 1.00087e6 + 1.73357e6i 0.248994 + 0.431270i
\(160\) −3.71096e6 2.14252e6i −0.905997 0.523077i
\(161\) 3.57140e6 2.99676e6i 0.855778 0.718083i
\(162\) 1.66616e6 + 1.98565e6i 0.391897 + 0.467044i
\(163\) 2.96178e6 5.12996e6i 0.683896 1.18454i −0.289886 0.957061i \(-0.593617\pi\)
0.973782 0.227482i \(-0.0730493\pi\)
\(164\) 2.25190e6 1.30013e6i 0.510525 0.294752i
\(165\) 1.23789e6 3.40107e6i 0.275568 0.757118i
\(166\) 8.22016e6 + 1.44944e6i 1.79703 + 0.316865i
\(167\) 1.39559e6 246081.i 0.299646 0.0528357i −0.0218037 0.999762i \(-0.506941\pi\)
0.321450 + 0.946927i \(0.395830\pi\)
\(168\) −1.88458e6 + 685932.i −0.397454 + 0.144662i
\(169\) 2.74206e6 + 2.30086e6i 0.568090 + 0.476684i
\(170\) 1.23070e6i 0.250499i
\(171\) 1.15345e6 + 3.95730e6i 0.230681 + 0.791426i
\(172\) −1.68850e6 −0.331830
\(173\) −4.43301e6 + 5.28306e6i −0.856171 + 1.02035i 0.143358 + 0.989671i \(0.454210\pi\)
−0.999529 + 0.0306742i \(0.990235\pi\)
\(174\) 2414.96 + 6635.05i 0.000458419 + 0.00125949i
\(175\) 684801. + 3.88370e6i 0.127776 + 0.724655i
\(176\) −1.87250e6 + 1.06195e7i −0.343466 + 1.94789i
\(177\) −778723. 283432.i −0.140431 0.0511127i
\(178\) −735618. 1.27413e6i −0.130434 0.225919i
\(179\) 1.47483e6 + 851496.i 0.257148 + 0.148465i 0.623033 0.782195i \(-0.285900\pi\)
−0.365885 + 0.930660i \(0.619234\pi\)
\(180\) 2.07296e6 1.73942e6i 0.355446 0.298254i
\(181\) 3.43532e6 + 4.09406e6i 0.579338 + 0.690428i 0.973519 0.228605i \(-0.0734163\pi\)
−0.394182 + 0.919033i \(0.628972\pi\)
\(182\) −2.88385e6 + 4.99498e6i −0.478365 + 0.828552i
\(183\) 2.97637e6 1.71841e6i 0.485662 0.280397i
\(184\) 992672. 2.72734e6i 0.159350 0.437811i
\(185\) 1.28770e6 + 227056.i 0.203376 + 0.0358607i
\(186\) 5.63810e6 994149.i 0.876181 0.154494i
\(187\) 1.66049e6 604369.i 0.253928 0.0924224i
\(188\) −1.11632e6 936701.i −0.168002 0.140970i
\(189\) 8.02983e6i 1.18938i
\(190\) 9.66930e6 2.81836e6i 1.40972 0.410899i
\(191\) −1.11727e7 −1.60346 −0.801730 0.597687i \(-0.796087\pi\)
−0.801730 + 0.597687i \(0.796087\pi\)
\(192\) −392448. + 467701.i −0.0554471 + 0.0660792i
\(193\) −1.21879e6 3.34861e6i −0.169535 0.465793i 0.825607 0.564246i \(-0.190833\pi\)
−0.995142 + 0.0984527i \(0.968611\pi\)
\(194\) −390997. 2.21746e6i −0.0535511 0.303704i
\(195\) 332925. 1.88811e6i 0.0448997 0.254639i
\(196\) 4.65915e6 + 1.69579e6i 0.618783 + 0.225219i
\(197\) −3.72135e6 6.44557e6i −0.486746 0.843069i 0.513138 0.858306i \(-0.328483\pi\)
−0.999884 + 0.0152375i \(0.995150\pi\)
\(198\) −1.06204e7 6.13166e6i −1.36818 0.789919i
\(199\) −1.18926e6 + 997908.i −0.150910 + 0.126628i −0.715117 0.699005i \(-0.753626\pi\)
0.564207 + 0.825633i \(0.309182\pi\)
\(200\) 1.57809e6 + 1.88069e6i 0.197261 + 0.235086i
\(201\) −2.78309e6 + 4.82045e6i −0.342720 + 0.593608i
\(202\) −690374. + 398588.i −0.0837588 + 0.0483582i
\(203\) −11765.2 + 32324.7i −0.00140641 + 0.00386408i
\(204\) −277215. 48880.5i −0.0326533 0.00575765i
\(205\) −1.30890e7 + 2.30794e6i −1.51930 + 0.267894i
\(206\) 7.56422e6 2.75315e6i 0.865291 0.314940i
\(207\) 4.02245e6 + 3.37524e6i 0.453503 + 0.380534i
\(208\) 5.71214e6i 0.634760i
\(209\) −8.55096e6 1.16620e7i −0.936647 1.27742i
\(210\) −8.86561e6 −0.957306
\(211\) −3.87668e6 + 4.62005e6i −0.412679 + 0.491812i −0.931842 0.362863i \(-0.881799\pi\)
0.519163 + 0.854675i \(0.326244\pi\)
\(212\) −1.79582e6 4.93397e6i −0.188476 0.517832i
\(213\) −206398. 1.17054e6i −0.0213583 0.121129i
\(214\) 2.57254e6 1.45896e7i 0.262495 1.48868i
\(215\) 8.11006e6 + 2.95182e6i 0.816035 + 0.297012i
\(216\) −2.49945e6 4.32918e6i −0.248018 0.429580i
\(217\) 2.41547e7 + 1.39457e7i 2.36387 + 1.36478i
\(218\) −1.19407e7 + 1.00195e7i −1.15255 + 0.967107i
\(219\) 2.46977e6 + 2.94336e6i 0.235139 + 0.280227i
\(220\) −4.74680e6 + 8.22170e6i −0.445793 + 0.772136i
\(221\) 810640. 468023.i 0.0751019 0.0433601i
\(222\) −322851. + 887026.i −0.0295082 + 0.0810732i
\(223\) −2.05884e7 3.63028e6i −1.85655 0.327360i −0.870289 0.492542i \(-0.836068\pi\)
−0.986263 + 0.165182i \(0.947179\pi\)
\(224\) 1.48417e7 2.61700e6i 1.32051 0.232841i
\(225\) −4.17381e6 + 1.51914e6i −0.366425 + 0.133368i
\(226\) −3.00143e6 2.51850e6i −0.260018 0.218181i
\(227\) 481495.i 0.0411637i −0.999788 0.0205818i \(-0.993448\pi\)
0.999788 0.0205818i \(-0.00655187\pi\)
\(228\) 250793. + 2.28995e6i 0.0211598 + 0.193206i
\(229\) 1.68622e7 1.40413 0.702067 0.712111i \(-0.252261\pi\)
0.702067 + 0.712111i \(0.252261\pi\)
\(230\) 8.24709e6 9.82850e6i 0.677825 0.807800i
\(231\) 4.35370e6 + 1.19617e7i 0.353201 + 0.970413i
\(232\) 3718.67 + 21089.6i 0.000297799 + 0.00168890i
\(233\) −1.57564e6 + 8.93588e6i −0.124563 + 0.706431i 0.857004 + 0.515310i \(0.172323\pi\)
−0.981567 + 0.191121i \(0.938788\pi\)
\(234\) −6.10438e6 2.22181e6i −0.476424 0.173404i
\(235\) 3.72427e6 + 6.45062e6i 0.286970 + 0.497047i
\(236\) 1.88248e6 + 1.08685e6i 0.143217 + 0.0826861i
\(237\) −4.38508e6 + 3.67952e6i −0.329407 + 0.276405i
\(238\) −2.78225e6 3.31576e6i −0.206379 0.245953i
\(239\) 9.49765e6 1.64504e7i 0.695701 1.20499i −0.274243 0.961660i \(-0.588427\pi\)
0.969944 0.243329i \(-0.0782394\pi\)
\(240\) −7.60388e6 + 4.39010e6i −0.550049 + 0.317571i
\(241\) −932889. + 2.56309e6i −0.0666467 + 0.183110i −0.968545 0.248838i \(-0.919951\pi\)
0.901898 + 0.431948i \(0.142174\pi\)
\(242\) 2.54833e7 + 4.49340e6i 1.79808 + 0.317051i
\(243\) 1.37886e7 2.43130e6i 0.960949 0.169441i
\(244\) −8.47118e6 + 3.08326e6i −0.583142 + 0.212246i
\(245\) −1.94139e7 1.62902e7i −1.32012 1.10771i
\(246\) 9.59493e6i 0.644520i
\(247\) −5.53354e6 5.29720e6i −0.367208 0.351524i
\(248\) 1.73636e7 1.13837
\(249\) 6.27259e6 7.47538e6i 0.406302 0.484212i
\(250\) −4.13527e6 1.13616e7i −0.264657 0.727140i
\(251\) 4.36943e6 + 2.47803e7i 0.276314 + 1.56706i 0.734755 + 0.678332i \(0.237297\pi\)
−0.458441 + 0.888725i \(0.651592\pi\)
\(252\) −1.65266e6 + 9.37271e6i −0.103272 + 0.585684i
\(253\) −1.73108e7 6.30062e6i −1.06895 0.389064i
\(254\) 4.64169e6 + 8.03964e6i 0.283253 + 0.490609i
\(255\) 1.24604e6 + 719404.i 0.0751472 + 0.0433863i
\(256\) 1.46297e7 1.22758e7i 0.872001 0.731696i
\(257\) −8.73977e6 1.04156e7i −0.514873 0.613602i 0.444487 0.895785i \(-0.353386\pi\)
−0.959361 + 0.282183i \(0.908941\pi\)
\(258\) −3.11527e6 + 5.39580e6i −0.181400 + 0.314193i
\(259\) −3.98264e6 + 2.29938e6i −0.229230 + 0.132346i
\(260\) −1.72001e6 + 4.72568e6i −0.0978610 + 0.268871i
\(261\) −38155.0 6727.76i −0.00214600 0.000378398i
\(262\) −1.83163e7 + 3.22966e6i −1.01844 + 0.179578i
\(263\) 1.88578e7 6.86366e6i 1.03663 0.377302i 0.233027 0.972470i \(-0.425137\pi\)
0.803601 + 0.595169i \(0.202915\pi\)
\(264\) 6.07057e6 + 5.09382e6i 0.329927 + 0.276842i
\(265\) 2.68379e7i 1.44215i
\(266\) −1.96796e7 + 2.94527e7i −1.04561 + 1.56488i
\(267\) −1.72002e6 −0.0903648
\(268\) 9.38482e6 1.11844e7i 0.487553 0.581043i
\(269\) 7.51258e6 + 2.06406e7i 0.385951 + 1.06039i 0.968807 + 0.247816i \(0.0797130\pi\)
−0.582856 + 0.812575i \(0.698065\pi\)
\(270\) −3.83729e6 2.17624e7i −0.194955 1.10564i
\(271\) 3.60441e6 2.04416e7i 0.181103 1.02709i −0.749757 0.661713i \(-0.769830\pi\)
0.930861 0.365375i \(-0.119059\pi\)
\(272\) −4.02820e6 1.46614e6i −0.200172 0.0728568i
\(273\) 3.37151e6 + 5.83962e6i 0.165705 + 0.287010i
\(274\) −3.99387e7 2.30586e7i −1.94152 1.12094i
\(275\) 1.19370e7 1.00163e7i 0.573980 0.481626i
\(276\) 1.88632e6 + 2.24802e6i 0.0897196 + 0.106924i
\(277\) −5.25117e6 + 9.09529e6i −0.247068 + 0.427934i −0.962711 0.270532i \(-0.912800\pi\)
0.715643 + 0.698466i \(0.246134\pi\)
\(278\) 1.53786e7 8.87883e6i 0.715784 0.413258i
\(279\) −1.07442e7 + 2.95195e7i −0.494723 + 1.35924i
\(280\) −2.64801e7 4.66915e6i −1.20627 0.212698i
\(281\) −1.63479e7 + 2.88257e6i −0.736788 + 0.129916i −0.529435 0.848350i \(-0.677596\pi\)
−0.207353 + 0.978266i \(0.566485\pi\)
\(282\) −5.05293e6 + 1.83912e6i −0.225318 + 0.0820091i
\(283\) −845543. 709495.i −0.0373058 0.0313033i 0.623944 0.781469i \(-0.285529\pi\)
−0.661250 + 0.750166i \(0.729974\pi\)
\(284\) 3.11772e6i 0.136107i
\(285\) 2.79868e6 1.14373e7i 0.120898 0.494071i
\(286\) 2.27903e7 0.974208
\(287\) 3.00469e7 3.58085e7i 1.27102 1.51475i
\(288\) 5.80546e6 + 1.59504e7i 0.243030 + 0.667719i
\(289\) −4.06946e6 2.30791e7i −0.168595 0.956147i
\(290\) −16438.7 + 93228.4i −0.000674020 + 0.00382256i
\(291\) −2.47366e6 900339.i −0.100383 0.0365365i
\(292\) −5.03918e6 8.72812e6i −0.202401 0.350568i
\(293\) −1.47577e7 8.52034e6i −0.586698 0.338730i 0.177093 0.984194i \(-0.443331\pi\)
−0.763791 + 0.645464i \(0.776664\pi\)
\(294\) 1.40152e7 1.17601e7i 0.551514 0.462776i
\(295\) −7.14173e6 8.51118e6i −0.278187 0.331531i
\(296\) −1.43146e6 + 2.47936e6i −0.0551956 + 0.0956016i
\(297\) −2.74779e7 + 1.58644e7i −1.04885 + 0.605555i
\(298\) −718569. + 1.97425e6i −0.0271531 + 0.0746026i
\(299\) −9.61015e6 1.69453e6i −0.359515 0.0633921i
\(300\) −2.44460e6 + 431049.i −0.0905407 + 0.0159648i
\(301\) −2.85234e7 + 1.03817e7i −1.04593 + 0.380687i
\(302\) 7.84509e6 + 6.58281e6i 0.284824 + 0.238996i
\(303\) 931976.i 0.0335025i
\(304\) −2.29438e6 + 3.50061e7i −0.0816665 + 1.24601i
\(305\) 4.60782e7 1.62404
\(306\) 3.13364e6 3.73453e6i 0.109367 0.130338i
\(307\) 6.00793e6 + 1.65066e7i 0.207639 + 0.570484i 0.999174 0.0406403i \(-0.0129398\pi\)
−0.791535 + 0.611124i \(0.790718\pi\)
\(308\) −5.79800e6 3.28821e7i −0.198439 1.12540i
\(309\) 1.63418e6 9.26788e6i 0.0553890 0.314127i
\(310\) 7.21283e7 + 2.62525e7i 2.42114 + 0.881224i
\(311\) 9.84506e6 + 1.70521e7i 0.327293 + 0.566889i 0.981974 0.189017i \(-0.0605301\pi\)
−0.654680 + 0.755906i \(0.727197\pi\)
\(312\) 3.63541e6 + 2.09891e6i 0.119699 + 0.0691081i
\(313\) −2.97632e7 + 2.49743e7i −0.970614 + 0.814442i −0.982647 0.185486i \(-0.940614\pi\)
0.0120329 + 0.999928i \(0.496170\pi\)
\(314\) 1.41762e7 + 1.68945e7i 0.457900 + 0.545704i
\(315\) 2.43232e7 4.21290e7i 0.778196 1.34788i
\(316\) 1.30034e7 7.50749e6i 0.412092 0.237921i
\(317\) 1.22774e7 3.37318e7i 0.385414 1.05892i −0.583628 0.812021i \(-0.698367\pi\)
0.969042 0.246895i \(-0.0794104\pi\)
\(318\) −1.90804e7 3.36438e6i −0.593342 0.104622i
\(319\) 133859. 23602.9i 0.00412358 0.000727098i
\(320\) −7.69199e6 + 2.79966e6i −0.234741 + 0.0854388i
\(321\) −1.32677e7 1.11329e7i −0.401126 0.336585i
\(322\) 4.51243e7i 1.35158i
\(323\) 5.15588e6 2.54261e6i 0.153001 0.0754522i
\(324\) −7.94879e6 −0.233704
\(325\) 5.30586e6 6.32327e6i 0.154563 0.184201i
\(326\) 1.96092e7 + 5.38759e7i 0.565989 + 1.55504i
\(327\) 3.16445e6 + 1.79465e7i 0.0905012 + 0.513258i
\(328\) 5.05326e6 2.86584e7i 0.143202 0.812140i
\(329\) −2.46169e7 8.95983e6i −0.691267 0.251601i
\(330\) 1.75156e7 + 3.03379e7i 0.487398 + 0.844197i
\(331\) 4.91703e7 + 2.83885e7i 1.35587 + 0.782813i 0.989064 0.147484i \(-0.0471174\pi\)
0.366808 + 0.930297i \(0.380451\pi\)
\(332\) −1.96081e7 + 1.64531e7i −0.535822 + 0.449608i
\(333\) −3.32936e6 3.96777e6i −0.0901628 0.107452i
\(334\) −6.85808e6 + 1.18785e7i −0.184062 + 0.318804i
\(335\) −6.46288e7 + 3.73135e7i −1.71906 + 0.992502i
\(336\) 1.05617e7 2.90180e7i 0.278430 0.764979i
\(337\) 4.52667e7 + 7.98174e6i 1.18274 + 0.208549i 0.730224 0.683208i \(-0.239416\pi\)
0.452515 + 0.891757i \(0.350527\pi\)
\(338\) −3.41193e7 + 6.01616e6i −0.883589 + 0.155801i
\(339\) −4.30438e6 + 1.56667e6i −0.110487 + 0.0402140i
\(340\) −2.89107e6 2.42589e6i −0.0735566 0.0617213i
\(341\) 1.10209e8i 2.77942i
\(342\) −3.65174e7 1.60680e7i −0.912896 0.401683i
\(343\) 2.63582e7 0.653181
\(344\) −1.21465e7 + 1.44757e7i −0.298385 + 0.355601i
\(345\) −5.13022e6 1.40952e7i −0.124933 0.343252i
\(346\) −1.15912e7 6.57368e7i −0.279833 1.58701i
\(347\) 1.03486e6 5.86897e6i 0.0247681 0.140467i −0.969916 0.243439i \(-0.921724\pi\)
0.994684 + 0.102973i \(0.0328354\pi\)
\(348\) −20346.8 7405.63i −0.000482790 0.000175721i
\(349\) 9.05400e6 + 1.56820e7i 0.212992 + 0.368914i 0.952650 0.304070i \(-0.0983457\pi\)
−0.739657 + 0.672984i \(0.765012\pi\)
\(350\) −3.30560e7 1.90849e7i −0.770986 0.445129i
\(351\) −1.28752e7 + 1.08036e7i −0.297737 + 0.249831i
\(352\) −3.82778e7 4.56177e7i −0.877645 1.04594i
\(353\) −1.29175e7 + 2.23738e7i −0.293666 + 0.508645i −0.974674 0.223631i \(-0.928209\pi\)
0.681007 + 0.732276i \(0.261542\pi\)
\(354\) 6.94630e6 4.01045e6i 0.156583 0.0904030i
\(355\) 5.45036e6 1.49747e7i 0.121826 0.334714i
\(356\) 4.44310e6 + 783438.i 0.0984773 + 0.0173642i
\(357\) −4.98346e6 + 878719.i −0.109528 + 0.0193128i
\(358\) −1.54890e7 + 5.63754e6i −0.337579 + 0.122869i
\(359\) 3.16956e7 + 2.65958e7i 0.685040 + 0.574817i 0.917474 0.397795i \(-0.130225\pi\)
−0.232434 + 0.972612i \(0.574669\pi\)
\(360\) 3.02845e7i 0.649101i
\(361\) −3.17838e7 3.46858e7i −0.675592 0.737276i
\(362\) −5.17280e7 −1.09044
\(363\) 1.94457e7 2.31744e7i 0.406540 0.484495i
\(364\) −6.04933e6 1.66204e7i −0.125430 0.344617i
\(365\) 8.94535e6 + 5.07316e7i 0.183958 + 1.04328i
\(366\) −5.77634e6 + 3.27592e7i −0.117817 + 0.668176i
\(367\) 2.26088e7 + 8.22894e6i 0.457383 + 0.166474i 0.560428 0.828203i \(-0.310636\pi\)
−0.103045 + 0.994677i \(0.532859\pi\)
\(368\) 2.23448e7 + 3.87023e7i 0.448366 + 0.776593i
\(369\) 4.55948e7 + 2.63241e7i 0.907477 + 0.523932i
\(370\) −9.69489e6 + 8.13498e6i −0.191398 + 0.160602i
\(371\) −6.06726e7 7.23068e7i −1.18815 1.41598i
\(372\) −8.77816e6 + 1.52042e7i −0.170520 + 0.295349i
\(373\) 4.59934e7 2.65543e7i 0.886275 0.511691i 0.0135530 0.999908i \(-0.495686\pi\)
0.872722 + 0.488217i \(0.162352\pi\)
\(374\) −5.84962e6 + 1.60717e7i −0.111818 + 0.307218i
\(375\) −1.39205e7 2.45456e6i −0.263974 0.0465457i
\(376\) −1.60608e7 + 2.83196e6i −0.302138 + 0.0532750i
\(377\) 67659.4 24626.0i 0.00126271 0.000459589i
\(378\) 5.95368e7 + 4.99573e7i 1.10233 + 0.924962i
\(379\) 5.67816e7i 1.04301i 0.853247 + 0.521506i \(0.174630\pi\)
−0.853247 + 0.521506i \(0.825370\pi\)
\(380\) −1.24390e7 + 2.82698e7i −0.226690 + 0.515195i
\(381\) 1.08532e7 0.196237
\(382\) 6.95106e7 8.28395e7i 1.24698 1.48610i
\(383\) −1.58146e7 4.34503e7i −0.281490 0.773387i −0.997185 0.0749746i \(-0.976112\pi\)
0.715696 0.698412i \(-0.246110\pi\)
\(384\) −4.57810e6 2.59637e7i −0.0808522 0.458536i
\(385\) −2.96357e7 + 1.68073e8i −0.519318 + 2.94520i
\(386\) 3.24108e7 + 1.17966e7i 0.563545 + 0.205114i
\(387\) −1.70938e7 2.96073e7i −0.294920 0.510817i
\(388\) 5.97980e6 + 3.45244e6i 0.102374 + 0.0591059i
\(389\) 1.16440e7 9.77045e6i 0.197812 0.165984i −0.538502 0.842625i \(-0.681009\pi\)
0.736313 + 0.676641i \(0.236565\pi\)
\(390\) 1.19281e7 + 1.42153e7i 0.201083 + 0.239642i
\(391\) 3.66163e6 6.34213e6i 0.0612554 0.106097i
\(392\) 4.80546e7 2.77443e7i 0.797768 0.460591i
\(393\) −7.43685e6 + 2.04326e7i −0.122521 + 0.336624i
\(394\) 7.09428e7 + 1.25091e7i 1.15990 + 0.204521i
\(395\) −7.55811e7 + 1.33270e7i −1.22637 + 0.216242i
\(396\) 3.53383e7 1.28621e7i 0.569063 0.207122i
\(397\) 2.41796e7 + 2.02891e7i 0.386436 + 0.324258i 0.815223 0.579147i \(-0.196614\pi\)
−0.428787 + 0.903406i \(0.641059\pi\)
\(398\) 1.50262e7i 0.238341i
\(399\) 1.83162e7 + 3.71415e7i 0.288348 + 0.584711i
\(400\) −3.78021e7 −0.590658
\(401\) −7.28964e7 + 8.68745e7i −1.13051 + 1.34728i −0.200520 + 0.979690i \(0.564263\pi\)
−0.929986 + 0.367595i \(0.880181\pi\)
\(402\) −1.84261e7 5.06254e7i −0.283633 0.779274i
\(403\) −1.01376e7 5.74932e7i −0.154889 0.878418i
\(404\) 424499. 2.40745e6i 0.00643772 0.0365101i
\(405\) 3.81789e7 + 1.38960e7i 0.574723 + 0.209182i
\(406\) −166473. 288340.i −0.00248752 0.00430850i
\(407\) 1.57369e7 + 9.08567e6i 0.233418 + 0.134764i
\(408\) −2.41325e6 + 2.02496e6i −0.0355322 + 0.0298151i
\(409\) −4.37793e6 5.21741e6i −0.0639880 0.0762579i 0.733101 0.680120i \(-0.238072\pi\)
−0.797089 + 0.603862i \(0.793628\pi\)
\(410\) 6.43207e7 1.11407e8i 0.933252 1.61644i
\(411\) −4.66922e7 + 2.69577e7i −0.672541 + 0.388292i
\(412\) −8.44271e6 + 2.31962e7i −0.120723 + 0.331684i
\(413\) 3.84826e7 + 6.78552e6i 0.546279 + 0.0963236i
\(414\) −5.00512e7 + 8.82537e6i −0.705364 + 0.124375i
\(415\) 1.22943e8 4.47476e7i 1.72012 0.626074i
\(416\) −2.41647e7 2.02766e7i −0.335661 0.281653i
\(417\) 2.07604e7i 0.286304i
\(418\) 1.39667e8 + 9.15409e6i 1.91234 + 0.125339i
\(419\) −4.09986e7 −0.557348 −0.278674 0.960386i \(-0.589895\pi\)
−0.278674 + 0.960386i \(0.589895\pi\)
\(420\) 1.74754e7 2.08264e7i 0.235874 0.281104i
\(421\) −4.13017e7 1.13476e8i −0.553506 1.52074i −0.828891 0.559411i \(-0.811028\pi\)
0.275385 0.961334i \(-0.411195\pi\)
\(422\) −1.01365e7 5.74870e7i −0.134881 0.764949i
\(423\) 5.12354e6 2.90570e7i 0.0676938 0.383911i
\(424\) −5.52179e7 2.00977e7i −0.724407 0.263662i
\(425\) 3.09730e6 + 5.36469e6i 0.0403475 + 0.0698840i
\(426\) 9.96303e6 + 5.75216e6i 0.128873 + 0.0744050i
\(427\) −1.24144e8 + 1.04169e8i −1.59457 + 1.33800i
\(428\) 2.92019e7 + 3.48015e7i 0.372460 + 0.443881i
\(429\) 1.33220e7 2.30744e7i 0.168732 0.292253i
\(430\) −7.23427e7 + 4.17671e7i −0.909891 + 0.525326i
\(431\) 1.29454e7 3.55672e7i 0.161690 0.444241i −0.832218 0.554448i \(-0.812929\pi\)
0.993909 + 0.110208i \(0.0351516\pi\)
\(432\) 7.58017e7 + 1.33659e7i 0.940217 + 0.165786i
\(433\) −8.37640e6 + 1.47698e6i −0.103180 + 0.0181933i −0.225000 0.974359i \(-0.572238\pi\)
0.121820 + 0.992552i \(0.461127\pi\)
\(434\) −2.53678e8 + 9.23312e7i −3.10323 + 1.12948i
\(435\) 84781.6 + 71140.2i 0.00102999 + 0.000864265i
\(436\) 4.78001e7i 0.576726i
\(437\) −5.82138e7 1.42448e7i −0.697560 0.170691i
\(438\) −3.71890e7 −0.442580
\(439\) −4.81819e7 + 5.74210e7i −0.569496 + 0.678699i −0.971527 0.236927i \(-0.923860\pi\)
0.402032 + 0.915626i \(0.368304\pi\)
\(440\) 3.63384e7 + 9.98390e7i 0.426587 + 1.17204i
\(441\) 1.74324e7 + 9.88641e7i 0.203255 + 1.15272i
\(442\) −1.57323e6 + 8.92225e6i −0.0182191 + 0.103326i
\(443\) 9.88789e7 + 3.59890e7i 1.13735 + 0.413960i 0.840954 0.541106i \(-0.181994\pi\)
0.296392 + 0.955066i \(0.404217\pi\)
\(444\) −1.44735e6 2.50688e6i −0.0165357 0.0286408i
\(445\) −1.99711e7 1.15303e7i −0.226632 0.130846i
\(446\) 1.55006e8 1.30066e8i 1.74721 1.46608i
\(447\) 1.57883e6 + 1.88157e6i 0.0176772 + 0.0210668i
\(448\) 1.43946e7 2.49322e7i 0.160091 0.277285i
\(449\) 5.88439e7 3.39735e7i 0.650073 0.375320i −0.138411 0.990375i \(-0.544199\pi\)
0.788484 + 0.615055i \(0.210866\pi\)
\(450\) 1.47036e7 4.03978e7i 0.161356 0.443323i
\(451\) −1.81899e8 3.20737e7i −1.98290 0.349638i
\(452\) 1.18325e7 2.08640e6i 0.128133 0.0225934i
\(453\) 1.12507e7 4.09493e6i 0.121028 0.0440506i
\(454\) 3.57003e6 + 2.99561e6i 0.0381508 + 0.0320123i
\(455\) 9.04050e7i 0.959750i
\(456\) 2.14360e7 + 1.43231e7i 0.226074 + 0.151057i
\(457\) 3.81523e7 0.399735 0.199868 0.979823i \(-0.435949\pi\)
0.199868 + 0.979823i \(0.435949\pi\)
\(458\) −1.04908e8 + 1.25024e8i −1.09197 + 1.30136i
\(459\) −4.31397e6 1.18525e7i −0.0446107 0.122567i
\(460\) 6.83212e6 + 3.87469e7i 0.0701911 + 0.398074i
\(461\) 7.49263e6 4.24928e7i 0.0764771 0.433723i −0.922395 0.386247i \(-0.873771\pi\)
0.998872 0.0474760i \(-0.0151177\pi\)
\(462\) −1.15776e8 4.21390e7i −1.17407 0.427325i
\(463\) −1.96307e7 3.40014e7i −0.197785 0.342574i 0.750025 0.661409i \(-0.230041\pi\)
−0.947810 + 0.318836i \(0.896708\pi\)
\(464\) −285562. 164869.i −0.00285856 0.00165039i
\(465\) 6.87423e7 5.76817e7i 0.683700 0.573692i
\(466\) −5.64520e7 6.72768e7i −0.557855 0.664826i
\(467\) −3.29631e7 + 5.70937e7i −0.323651 + 0.560580i −0.981238 0.192798i \(-0.938244\pi\)
0.657587 + 0.753378i \(0.271577\pi\)
\(468\) 1.72519e7 9.96042e6i 0.168306 0.0971717i
\(469\) 8.97686e7 2.46637e8i 0.870174 2.39078i
\(470\) −7.09983e7 1.25189e7i −0.683840 0.120579i
\(471\) 2.53918e7 4.47727e6i 0.243014 0.0428499i
\(472\) 2.28595e7 8.32019e6i 0.217391 0.0791239i
\(473\) 9.18789e7 + 7.70956e7i 0.868226 + 0.728528i
\(474\) 5.54050e7i 0.520252i
\(475\) 3.50560e7 3.66201e7i 0.327101 0.341695i
\(476\) 1.32734e7 0.123072
\(477\) 6.83353e7 8.14388e7i 0.629636 0.750371i
\(478\) 6.28816e7 + 1.72766e8i 0.575758 + 1.58188i
\(479\) −699940. 3.96956e6i −0.00636875 0.0361190i 0.981458 0.191678i \(-0.0613931\pi\)
−0.987827 + 0.155559i \(0.950282\pi\)
\(480\) 8.41981e6 4.77511e7i 0.0761340 0.431777i
\(481\) 9.04524e6 + 3.29220e6i 0.0812802 + 0.0295836i
\(482\) −1.32000e7 2.28631e7i −0.117878 0.204171i
\(483\) 4.56869e7 + 2.63773e7i 0.405462 + 0.234094i
\(484\) −6.07870e7 + 5.10063e7i −0.536135 + 0.449871i
\(485\) −2.26861e7 2.70363e7i −0.198854 0.236985i
\(486\) −6.77585e7 + 1.17361e8i −0.590275 + 1.02239i
\(487\) −1.39962e7 + 8.08069e6i −0.121177 + 0.0699619i −0.559364 0.828922i \(-0.688954\pi\)
0.438186 + 0.898884i \(0.355621\pi\)
\(488\) −3.45059e7 + 9.48041e7i −0.296916 + 0.815770i
\(489\) 6.60102e7 + 1.16394e7i 0.564526 + 0.0995412i
\(490\) 2.41565e8 4.25945e7i 2.05327 0.362047i
\(491\) 7.45465e7 2.71327e7i 0.629771 0.229218i −0.00736055 0.999973i \(-0.502343\pi\)
0.637132 + 0.770755i \(0.280121\pi\)
\(492\) 2.25397e7 + 1.89131e7i 0.189257 + 0.158806i
\(493\) 54034.1i 0.000450949i
\(494\) 7.37026e7 8.07185e6i 0.611367 0.0669564i
\(495\) −1.92219e8 −1.58483
\(496\) −1.71854e8 + 2.04808e8i −1.40837 + 1.67842i
\(497\) 1.91691e7 + 5.26668e7i 0.156147 + 0.429010i
\(498\) 1.64012e7 + 9.30158e7i 0.132797 + 0.753128i
\(499\) 8.96159e6 5.08237e7i 0.0721246 0.409039i −0.927275 0.374382i \(-0.877855\pi\)
0.999399 0.0346573i \(-0.0110340\pi\)
\(500\) 3.48410e7 + 1.26811e7i 0.278728 + 0.101449i
\(501\) 8.01777e6 + 1.38872e7i 0.0637588 + 0.110433i
\(502\) −2.10917e8 1.21773e8i −1.66725 0.962585i
\(503\) 2.55230e7 2.14163e7i 0.200552 0.168283i −0.536981 0.843595i \(-0.680435\pi\)
0.737533 + 0.675311i \(0.235991\pi\)
\(504\) 6.84644e7 + 8.15926e7i 0.534777 + 0.637323i
\(505\) −6.24760e6 + 1.08212e7i −0.0485108 + 0.0840233i
\(506\) 1.54414e8 8.91512e7i 1.19189 0.688138i
\(507\) −1.38532e7 + 3.80615e7i −0.106299 + 0.292053i
\(508\) −2.80356e7 4.94343e6i −0.213855 0.0377083i
\(509\) 2.12781e8 3.75191e7i 1.61354 0.284511i 0.707186 0.707028i \(-0.249964\pi\)
0.906355 + 0.422517i \(0.138853\pi\)
\(510\) −1.30862e7 + 4.76299e6i −0.0986515 + 0.0359062i
\(511\) −1.38790e8 1.16459e8i −1.04015 0.872789i
\(512\) 3.57311e7i 0.266217i
\(513\) −8.32433e7 + 6.10367e7i −0.616591 + 0.452104i
\(514\) 1.31601e8 0.969100
\(515\) 8.11026e7 9.66543e7i 0.593763 0.707619i
\(516\) −6.53475e6 1.79541e7i −0.0475642 0.130682i
\(517\) 1.79748e7 + 1.01940e8i 0.130075 + 0.737691i
\(518\) 7.72924e6 4.38347e7i 0.0556093 0.315376i
\(519\) −7.33320e7 2.66907e7i −0.524555 0.190923i
\(520\) 2.81405e7 + 4.87407e7i 0.200134 + 0.346643i
\(521\) −6.71560e6 3.87725e6i −0.0474866 0.0274164i 0.476069 0.879408i \(-0.342061\pi\)
−0.523555 + 0.851992i \(0.675395\pi\)
\(522\) 287263. 241042.i 0.00201961 0.00169466i
\(523\) 1.52660e8 + 1.81933e8i 1.06714 + 1.27176i 0.960743 + 0.277440i \(0.0894859\pi\)
0.106393 + 0.994324i \(0.466070\pi\)
\(524\) 2.85173e7 4.93934e7i 0.198205 0.343301i
\(525\) −3.86457e7 + 2.23121e7i −0.267069 + 0.154192i
\(526\) −6.64326e7 + 1.82522e8i −0.456483 + 1.25418i
\(527\) 4.31462e7 + 7.60784e6i 0.294789 + 0.0519792i
\(528\) −1.20165e8 + 2.11884e7i −0.816353 + 0.143945i
\(529\) 6.73665e7 2.45194e7i 0.455069 0.165632i
\(530\) −1.98988e8 1.66971e8i −1.33660 1.12154i
\(531\) 4.40114e7i 0.293955i
\(532\) −3.03966e7 1.04286e8i −0.201879 0.692611i
\(533\) −9.78421e7 −0.646166
\(534\) 1.07010e7 1.27530e7i 0.0702752 0.0837508i
\(535\) −7.94205e7 2.18206e8i −0.518646 1.42497i
\(536\) −2.83734e7 1.60914e8i −0.184254 1.04496i
\(537\) −3.34625e6 + 1.89776e7i −0.0216091 + 0.122551i
\(538\) −1.99779e8 7.27134e7i −1.28293 0.466947i
\(539\) −1.76097e8 3.05009e8i −1.12457 1.94781i
\(540\) 5.86864e7 + 3.38826e7i 0.372697 + 0.215177i
\(541\) −1.97719e8 + 1.65906e8i −1.24869 + 1.04778i −0.251901 + 0.967753i \(0.581056\pi\)
−0.996793 + 0.0800255i \(0.974500\pi\)
\(542\) 1.29139e8 + 1.53902e8i 0.811071 + 0.966597i
\(543\) −3.02375e7 + 5.23729e7i −0.188863 + 0.327120i
\(544\) 2.05014e7 1.18365e7i 0.127346 0.0735235i
\(545\) −8.35637e7 + 2.29589e8i −0.516212 + 1.41828i
\(546\) −6.42734e7 1.13331e7i −0.394869 0.0696261i
\(547\) 1.51358e8 2.66885e7i 0.924791 0.163066i 0.309079 0.951037i \(-0.399979\pi\)
0.615712 + 0.787971i \(0.288868\pi\)
\(548\) 1.32893e8 4.83690e7i 0.807531 0.293917i
\(549\) −1.39823e8 1.17325e8i −0.845010 0.709047i
\(550\) 1.50823e8i 0.906522i
\(551\) 424532. 123740.i 0.00253779 0.000739702i
\(552\) 3.28420e7 0.195260
\(553\) 1.73503e8 2.06773e8i 1.02596 1.22269i
\(554\) −3.47667e7 9.55207e7i −0.204472 0.561782i
\(555\) 2.56927e6 + 1.45711e7i 0.0150290 + 0.0852339i
\(556\) −9.45601e6 + 5.36277e7i −0.0550153 + 0.312007i
\(557\) −9.82126e7 3.57465e7i −0.568331 0.206856i 0.0418413 0.999124i \(-0.486678\pi\)
−0.610172 + 0.792269i \(0.708900\pi\)
\(558\) −1.52026e8 2.63317e8i −0.875017 1.51557i
\(559\) 5.50224e7 + 3.17672e7i 0.314996 + 0.181863i
\(560\) 3.17157e8 2.66126e8i 1.80597 1.51539i
\(561\) 1.28527e7 + 1.53172e7i 0.0727956 + 0.0867545i
\(562\) 8.03352e7 1.39145e8i 0.452582 0.783895i
\(563\) −1.61277e8 + 9.31134e7i −0.903748 + 0.521779i −0.878414 0.477900i \(-0.841398\pi\)
−0.0253339 + 0.999679i \(0.508065\pi\)
\(564\) 5.63977e6 1.54951e7i 0.0314358 0.0863691i
\(565\) −6.04804e7 1.06643e7i −0.335328 0.0591273i
\(566\) 1.05210e7 1.85514e6i 0.0580243 0.0102312i
\(567\) −1.34277e8 + 4.88728e7i −0.736634 + 0.268113i
\(568\) 2.67284e7 + 2.24278e7i 0.145857 + 0.122389i
\(569\) 9.36389e7i 0.508299i 0.967165 + 0.254150i \(0.0817956\pi\)
−0.967165 + 0.254150i \(0.918204\pi\)
\(570\) 6.73896e7 + 9.19076e7i 0.363889 + 0.496280i
\(571\) 2.53210e8 1.36011 0.680053 0.733163i \(-0.261957\pi\)
0.680053 + 0.733163i \(0.261957\pi\)
\(572\) −4.49231e7 + 5.35372e7i −0.240039 + 0.286067i
\(573\) −4.32400e7 1.18801e8i −0.229838 0.631475i
\(574\) 7.85648e7 + 4.45563e8i 0.415425 + 2.35599i
\(575\) 1.12141e7 6.35985e7i 0.0589878 0.334536i
\(576\) 3.04697e7 + 1.10901e7i 0.159441 + 0.0580319i
\(577\) 1.54287e8 + 2.67234e8i 0.803162 + 1.39112i 0.917525 + 0.397678i \(0.130184\pi\)
−0.114363 + 0.993439i \(0.536483\pi\)
\(578\) 1.96437e8 + 1.13413e8i 1.01728 + 0.587326i
\(579\) 3.08894e7 2.59193e7i 0.159138 0.133533i
\(580\) −186602. 222384.i −0.000956384 0.00113977i
\(581\) −2.30073e8 + 3.98498e8i −1.17310 + 2.03188i
\(582\) 2.20653e7 1.27394e7i 0.111929 0.0646221i
\(583\) −1.27563e8 + 3.50475e8i −0.643751 + 1.76869i
\(584\) −1.11077e8 1.95859e7i −0.557682 0.0983343i
\(585\) −1.00276e8 + 1.76813e7i −0.500874 + 0.0883176i
\(586\) 1.54988e8 5.64110e7i 0.770203 0.280331i
\(587\) 2.42615e7 + 2.03578e7i 0.119951 + 0.100651i 0.700790 0.713368i \(-0.252831\pi\)
−0.580839 + 0.814018i \(0.697275\pi\)
\(588\) 5.61044e7i 0.275972i
\(589\) −3.90338e7 3.56411e8i −0.191027 1.74424i
\(590\) 1.07538e8 0.523607
\(591\) 5.41346e7 6.45151e7i 0.262248 0.312535i
\(592\) −1.50770e7 4.14236e7i −0.0726689 0.199656i
\(593\) 5.18766e7 + 2.94207e8i 0.248775 + 1.41087i 0.811559 + 0.584271i \(0.198619\pi\)
−0.562784 + 0.826604i \(0.690270\pi\)
\(594\) 5.33272e7 3.02433e8i 0.254442 1.44301i
\(595\) −6.37535e7 2.32044e7i −0.302659 0.110159i
\(596\) −3.22136e6 5.57955e6i −0.0152160 0.0263549i
\(597\) −1.52135e7 8.78353e6i −0.0715001 0.0412806i
\(598\) 7.23533e7 6.07116e7i 0.338341 0.283902i
\(599\) 1.16781e8 + 1.39175e8i 0.543367 + 0.647560i 0.965939 0.258770i \(-0.0833171\pi\)
−0.422572 + 0.906329i \(0.638873\pi\)
\(600\) −1.38902e7 + 2.40586e7i −0.0643066 + 0.111382i
\(601\) 2.87183e8 1.65805e8i 1.32293 0.763792i 0.338732 0.940883i \(-0.390002\pi\)
0.984195 + 0.177091i \(0.0566686\pi\)
\(602\) 1.00483e8 2.76075e8i 0.460578 1.26543i
\(603\) 2.91123e8 + 5.13328e7i 1.32777 + 0.234123i
\(604\) −3.09277e7 + 5.45339e6i −0.140358 + 0.0247489i
\(605\) 3.81136e8 1.38722e8i 1.72113 0.626440i
\(606\) −6.91010e6 5.79826e6i −0.0310503 0.0260543i
\(607\) 1.67399e7i 0.0748489i 0.999299 + 0.0374245i \(0.0119154\pi\)
−0.999299 + 0.0374245i \(0.988085\pi\)
\(608\) −1.39945e8 1.33968e8i −0.622655 0.596061i
\(609\) −389246. −0.00172335
\(610\) −2.86674e8 + 3.41645e8i −1.26299 + 1.50517i
\(611\) 1.87540e7 + 5.15261e7i 0.0822185 + 0.225894i
\(612\) 2.59599e6 + 1.47226e7i 0.0113253 + 0.0642289i
\(613\) −1.23247e7 + 6.98968e7i −0.0535050 + 0.303442i −0.999803 0.0198539i \(-0.993680\pi\)
0.946298 + 0.323296i \(0.104791\pi\)
\(614\) −1.59766e8 5.81501e7i −0.690207 0.251215i
\(615\) −7.51971e7 1.30245e8i −0.323278 0.559934i
\(616\) −3.23610e8 1.86836e8i −1.38446 0.799317i
\(617\) −4.38586e7 + 3.68018e7i −0.186724 + 0.156680i −0.731358 0.681994i \(-0.761113\pi\)
0.544634 + 0.838674i \(0.316669\pi\)
\(618\) 5.85493e7 + 6.97764e7i 0.248060 + 0.295626i
\(619\) −7.91936e7 + 1.37167e8i −0.333901 + 0.578334i −0.983273 0.182137i \(-0.941699\pi\)
0.649372 + 0.760471i \(0.275032\pi\)
\(620\) −2.03846e8 + 1.17691e8i −0.855318 + 0.493818i
\(621\) −4.49737e7 + 1.23564e8i −0.187795 + 0.515962i
\(622\) −1.87683e8 3.30936e7i −0.779928 0.137522i
\(623\) 7.98730e7 1.40838e7i 0.330321 0.0582445i
\(624\) −6.07381e7 + 2.21069e7i −0.249981 + 0.0909858i
\(625\) −2.33642e8 1.96049e8i −0.956998 0.803017i
\(626\) 3.76055e8i 1.53295i
\(627\) 9.09104e7 1.36057e8i 0.368817 0.551975i
\(628\) −6.76308e7 −0.273065
\(629\) −4.64331e6 + 5.53368e6i −0.0186585 + 0.0222363i
\(630\) 1.61038e8 + 4.42448e8i 0.644031 + 1.76946i
\(631\) −6.88673e7 3.90566e8i −0.274110 1.55456i −0.741775 0.670649i \(-0.766016\pi\)
0.467665 0.883906i \(-0.345096\pi\)
\(632\) 2.91795e7 1.65485e8i 0.115592 0.655554i
\(633\) −6.41290e7 2.33411e7i −0.252839 0.0920258i
\(634\) 1.73720e8 + 3.00892e8i 0.681682 + 1.18071i
\(635\) 1.26016e8 + 7.27554e7i 0.492158 + 0.284148i
\(636\) 4.55136e7 3.81905e7i 0.176917 0.148451i
\(637\) −1.19921e8 1.42917e8i −0.463957 0.552923i
\(638\) −657795. + 1.13933e6i −0.00253296 + 0.00438722i
\(639\) −5.46680e7 + 3.15626e7i −0.209523 + 0.120968i
\(640\) 1.20894e8 3.32154e8i 0.461175 1.26707i
\(641\) 1.21398e8 + 2.14058e7i 0.460933 + 0.0812749i 0.399293 0.916823i \(-0.369256\pi\)
0.0616404 + 0.998098i \(0.480367\pi\)
\(642\) 1.65089e8 2.91097e7i 0.623899 0.110010i
\(643\) −7.20116e7 + 2.62101e7i −0.270875 + 0.0985905i −0.473887 0.880586i \(-0.657149\pi\)
0.203011 + 0.979176i \(0.434927\pi\)
\(644\) −1.06003e8 8.89468e7i −0.396880 0.333022i
\(645\) 9.76595e7i 0.363945i
\(646\) −1.32251e7 + 5.40469e7i −0.0490571 + 0.200481i
\(647\) −1.49163e8 −0.550741 −0.275370 0.961338i \(-0.588801\pi\)
−0.275370 + 0.961338i \(0.588801\pi\)
\(648\) −5.71810e7 + 6.81457e7i −0.210149 + 0.250445i
\(649\) −5.28094e7 1.45093e8i −0.193187 0.530776i
\(650\) 1.38734e7 + 7.86801e7i 0.0505177 + 0.286500i
\(651\) −5.48047e7 + 3.10813e8i −0.198644 + 1.12656i
\(652\) −1.65214e8 6.01330e7i −0.596079 0.216955i
\(653\) −2.31610e8 4.01161e8i −0.831798 1.44072i −0.896611 0.442819i \(-0.853978\pi\)
0.0648126 0.997897i \(-0.479355\pi\)
\(654\) −1.52751e8 8.81907e7i −0.546073 0.315275i
\(655\) −2.23321e8 + 1.87389e8i −0.794705 + 0.666836i
\(656\) 2.88019e8 + 3.43248e8i 1.02026 + 1.21590i
\(657\) 1.02030e8 1.76721e8i 0.359775 0.623148i
\(658\) 2.19586e8 1.26778e8i 0.770773 0.445006i
\(659\) −6.48688e7 + 1.78225e8i −0.226662 + 0.622750i −0.999936 0.0113229i \(-0.996396\pi\)
0.773274 + 0.634073i \(0.218618\pi\)
\(660\) −1.05793e8 1.86542e7i −0.367982 0.0648852i
\(661\) 4.70287e8 8.29244e7i 1.62839 0.287129i 0.716509 0.697578i \(-0.245739\pi\)
0.911884 + 0.410449i \(0.134628\pi\)
\(662\) −5.16397e8 + 1.87953e8i −1.77996 + 0.647851i
\(663\) 8.11386e6 + 6.80834e6i 0.0278411 + 0.0233615i
\(664\) 2.86460e8i 0.978498i
\(665\) −3.63126e7 + 5.54034e8i −0.123479 + 1.88396i
\(666\) 5.01324e7 0.169705
\(667\) 362090. 431522.i 0.00122022 0.00145421i
\(668\) −1.43859e7 3.95249e7i −0.0482622 0.132599i
\(669\) −4.10787e7 2.32969e8i −0.137195 0.778072i
\(670\) 1.25427e8 7.11333e8i 0.417030 2.36509i
\(671\) 6.01734e8 + 2.19013e8i 1.99176 + 0.724942i
\(672\) 8.52667e7 + 1.47686e8i 0.280977 + 0.486667i
\(673\) −3.07157e8 1.77337e8i −1.00766 0.581775i −0.0971574 0.995269i \(-0.530975\pi\)
−0.910507 + 0.413494i \(0.864308\pi\)
\(674\) −3.40806e8 + 2.85970e8i −1.11308 + 0.933987i
\(675\) −7.14964e7 8.52060e7i −0.232473 0.277051i
\(676\) 5.31216e7 9.20093e7i 0.171961 0.297846i
\(677\) −1.53410e8 + 8.85716e7i −0.494412 + 0.285449i −0.726403 0.687269i \(-0.758809\pi\)
0.231991 + 0.972718i \(0.425476\pi\)
\(678\) 1.51636e7 4.16616e7i 0.0486534 0.133674i
\(679\) 1.22242e8 + 2.15546e7i 0.390492 + 0.0688543i
\(680\) −4.15948e7 + 7.33428e6i −0.132285 + 0.0233255i
\(681\) 5.11981e6 1.86346e6i 0.0162111 0.00590036i
\(682\) 8.17142e8 + 6.85663e8i 2.57599 + 2.16151i
\(683\) 4.57228e8i 1.43506i −0.696527 0.717531i \(-0.745272\pi\)
0.696527 0.717531i \(-0.254728\pi\)
\(684\) 1.09727e8 5.41115e7i 0.342882 0.169091i
\(685\) −7.22857e8 −2.24895
\(686\) −1.63987e8 + 1.95432e8i −0.507969 + 0.605373i
\(687\) 6.52594e7 + 1.79299e8i 0.201267 + 0.552977i
\(688\) −5.05251e7 2.86542e8i −0.155147 0.879880i
\(689\) −3.43075e7 + 1.94568e8i −0.104889 + 0.594857i
\(690\) 1.36425e8 + 4.96548e7i 0.415287 + 0.151152i
\(691\) 1.21635e8 + 2.10679e8i 0.368660 + 0.638537i 0.989356 0.145514i \(-0.0464835\pi\)
−0.620697 + 0.784051i \(0.713150\pi\)
\(692\) 1.77272e8 + 1.02348e8i 0.534960 + 0.308859i
\(693\) 5.17879e8 4.34552e8i 1.55607 1.30570i
\(694\) 3.70769e7 + 4.41866e7i 0.110924 + 0.132194i
\(695\) 1.39170e8 2.41049e8i 0.414563 0.718044i
\(696\) −209857. + 121161.i −0.000622439 + 0.000359365i
\(697\) 2.51133e7 6.89982e7i 0.0741661 0.203770i
\(698\) −1.72603e8 3.04345e7i −0.507553 0.0894952i
\(699\) −1.01115e8 + 1.78292e7i −0.296062 + 0.0522037i
\(700\) 1.09991e8 4.00335e7i 0.320674 0.116716i
\(701\) −3.43161e8 2.87946e8i −0.996193 0.835905i −0.00974034 0.999953i \(-0.503100\pi\)
−0.986452 + 0.164048i \(0.947545\pi\)
\(702\) 1.62677e8i 0.470234i
\(703\) 5.41101e7 + 2.38089e7i 0.155744 + 0.0685290i
\(704\) −1.13757e8 −0.326031
\(705\) −5.41769e7 + 6.45656e7i −0.154613 + 0.184261i
\(706\) −8.55235e7 2.34974e8i −0.243036 0.667737i
\(707\) −7.63116e6 4.32784e7i −0.0215940 0.122465i
\(708\) −4.27115e6 + 2.42229e7i −0.0120350 + 0.0682538i
\(709\) 1.62924e8 + 5.92994e7i 0.457136 + 0.166384i 0.560316 0.828279i \(-0.310680\pi\)
−0.103180 + 0.994663i \(0.532902\pi\)
\(710\) 7.71204e7 + 1.33576e8i 0.215474 + 0.373211i
\(711\) 2.63282e8 + 1.52006e8i 0.732509 + 0.422914i
\(712\) 3.86787e7 3.24553e7i 0.107160 0.0899177i
\(713\) −2.93589e8 3.49886e8i −0.809974 0.965290i
\(714\) 2.44893e7 4.24166e7i 0.0672792 0.116531i
\(715\) 3.09364e8 1.78611e8i 0.846353 0.488642i
\(716\) 1.72879e7 4.74981e7i 0.0470980 0.129401i
\(717\) 2.11677e8 + 3.73244e7i 0.574271 + 0.101259i
\(718\) −3.94387e8 + 6.95410e7i −1.06549 + 0.187874i
\(719\) 5.38142e8 1.95868e8i 1.44780 0.526958i 0.505827 0.862635i \(-0.331187\pi\)
0.941977 + 0.335677i \(0.108965\pi\)
\(720\) 3.57212e8 + 2.99737e8i 0.957037 + 0.803050i
\(721\) 4.43756e8i 1.18396i
\(722\) 4.54919e8 1.98633e7i 1.20871 0.0527765i
\(723\) −3.08642e7 −0.0816657
\(724\) 1.01964e8 1.21516e8i 0.268676 0.320196i
\(725\) 162971. + 447759.i 0.000427658 + 0.00117498i
\(726\) 5.08453e7 + 2.88358e8i 0.132874 + 0.753568i
\(727\) −1.08630e8 + 6.16069e8i −0.282712 + 1.60334i 0.430632 + 0.902528i \(0.358291\pi\)
−0.713344 + 0.700814i \(0.752820\pi\)
\(728\) −1.86005e8 6.77002e7i −0.482092 0.175467i
\(729\) −1.83997e7 3.18693e7i −0.0474929 0.0822602i
\(730\) −4.31801e8 2.49300e8i −1.10998 0.640847i
\(731\) −3.65249e7 + 3.06480e7i −0.0935055 + 0.0784604i
\(732\) −6.55695e7 7.81427e7i −0.167174 0.199230i
\(733\) −7.27205e7 + 1.25956e8i −0.184648 + 0.319820i −0.943458 0.331492i \(-0.892448\pi\)
0.758810 + 0.651312i \(0.225781\pi\)
\(734\) −2.01673e8 + 1.16436e8i −0.509989 + 0.294442i
\(735\) 9.80812e7 2.69476e8i 0.247015 0.678669i
\(736\) −2.43044e8 4.28553e7i −0.609610 0.107491i
\(737\) −1.02134e9 + 1.80090e8i −2.55134 + 0.449870i
\(738\) −4.78846e8 + 1.74286e8i −1.19131 + 0.433603i
\(739\) 2.73353e8 + 2.29370e8i 0.677315 + 0.568335i 0.915220 0.402954i \(-0.132016\pi\)
−0.237906 + 0.971288i \(0.576461\pi\)
\(740\) 3.88098e7i 0.0957737i
\(741\) 3.49103e7 7.93399e7i 0.0858023 0.195001i
\(742\) 9.13589e8 2.23635
\(743\) 1.67794e8 1.99969e8i 0.409081 0.487523i −0.521686 0.853138i \(-0.674697\pi\)
0.930766 + 0.365614i \(0.119141\pi\)
\(744\) 6.71998e7 + 1.84630e8i 0.163173 + 0.448315i
\(745\) 5.71842e6 + 3.24308e7i 0.0138295 + 0.0784311i
\(746\) −8.92607e7 + 5.06223e8i −0.215003 + 1.21934i
\(747\) −4.87005e8 1.77255e8i −1.16835 0.425243i
\(748\) −2.62239e7 4.54212e7i −0.0626604 0.108531i
\(749\) 7.07275e8 + 4.08346e8i 1.68323 + 0.971813i
\(750\) 1.04805e8 8.79419e7i 0.248427 0.208455i
\(751\) −2.71527e8 3.23593e8i −0.641051 0.763975i 0.343485 0.939158i \(-0.388393\pi\)
−0.984536 + 0.175183i \(0.943948\pi\)
\(752\) 1.25557e8 2.17470e8i 0.295247 0.511383i
\(753\) −2.46582e8 + 1.42364e8i −0.577533 + 0.333439i
\(754\) −238352. + 654868.i −0.000556039 + 0.00152770i
\(755\) 1.58083e8 + 2.78743e7i 0.367319 + 0.0647683i
\(756\) −2.34712e8 + 4.13861e7i −0.543213 + 0.0957831i
\(757\) −2.71334e8 + 9.87576e7i −0.625485 + 0.227658i −0.635265 0.772294i \(-0.719109\pi\)
0.00977970 + 0.999952i \(0.496887\pi\)
\(758\) −4.21005e8 3.53265e8i −0.966672 0.811134i
\(759\) 2.08453e8i 0.476741i
\(760\) 1.52877e8 + 3.10004e8i 0.348259 + 0.706198i
\(761\) −2.09410e8 −0.475164 −0.237582 0.971368i \(-0.576355\pi\)
−0.237582 + 0.971368i \(0.576355\pi\)
\(762\) −6.75227e7 + 8.04704e7i −0.152611 + 0.181874i
\(763\) −2.93897e8 8.07475e8i −0.661639 1.81784i
\(764\) 5.75845e7 + 3.26578e8i 0.129130 +