Properties

Label 19.7.f.a.2.7
Level $19$
Weight $7$
Character 19.2
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 2.7
Character \(\chi\) \(=\) 19.2
Dual form 19.7.f.a.10.7

$q$-expansion

\(f(q)\) \(=\) \(q+(8.59619 + 1.51574i) q^{2} +(11.8818 - 14.1601i) q^{3} +(11.4566 + 4.16987i) q^{4} +(148.419 - 54.0202i) q^{5} +(123.601 - 103.714i) q^{6} +(77.3177 + 133.918i) q^{7} +(-391.636 - 226.111i) q^{8} +(67.2563 + 381.430i) q^{9} +O(q^{10})\) \(q+(8.59619 + 1.51574i) q^{2} +(11.8818 - 14.1601i) q^{3} +(11.4566 + 4.16987i) q^{4} +(148.419 - 54.0202i) q^{5} +(123.601 - 103.714i) q^{6} +(77.3177 + 133.918i) q^{7} +(-391.636 - 226.111i) q^{8} +(67.2563 + 381.430i) q^{9} +(1357.72 - 239.403i) q^{10} +(-325.610 + 563.973i) q^{11} +(195.171 - 112.682i) q^{12} +(-894.983 - 1066.60i) q^{13} +(461.652 + 1268.38i) q^{14} +(998.550 - 2743.49i) q^{15} +(-3621.58 - 3038.87i) q^{16} +(-1002.89 + 5687.65i) q^{17} +3380.78i q^{18} +(-6839.14 - 521.585i) q^{19} +1925.64 q^{20} +(2814.97 + 496.356i) q^{21} +(-3653.84 + 4354.48i) q^{22} +(-5536.10 - 2014.97i) q^{23} +(-7855.10 + 2859.02i) q^{24} +(7140.65 - 5991.71i) q^{25} +(-6076.76 - 10525.2i) q^{26} +(17870.2 + 10317.4i) q^{27} +(327.379 + 1856.66i) q^{28} +(37044.3 - 6531.91i) q^{29} +(12742.1 - 22070.0i) q^{30} +(24286.6 - 14021.9i) q^{31} +(-7921.94 - 9441.00i) q^{32} +(4117.12 + 11311.7i) q^{33} +(-17242.0 + 47372.0i) q^{34} +(18709.7 + 15699.3i) q^{35} +(-819.982 + 4650.35i) q^{36} -35362.3i q^{37} +(-57999.9 - 14850.0i) q^{38} -25737.2 q^{39} +(-70340.9 - 12403.0i) q^{40} +(-38791.5 + 46230.0i) q^{41} +(23445.7 + 8533.53i) q^{42} +(-9091.37 + 3308.99i) q^{43} +(-6082.09 + 5103.48i) q^{44} +(30587.0 + 52978.3i) q^{45} +(-44535.1 - 25712.4i) q^{46} +(1609.87 + 9130.02i) q^{47} +(-86061.6 + 15175.0i) q^{48} +(46868.4 - 81178.5i) q^{49} +(70464.2 - 40682.5i) q^{50} +(68621.9 + 81780.4i) q^{51} +(-5805.91 - 15951.6i) q^{52} +(76100.4 - 209084. i) q^{53} +(137978. + 115777. i) q^{54} +(-17860.9 + 101294. i) q^{55} -69929.6i q^{56} +(-88646.8 + 90645.8i) q^{57} +328340. q^{58} +(-293995. - 51839.3i) q^{59} +(22880.0 - 27267.3i) q^{60} +(-267478. - 97353.9i) q^{61} +(230025. - 83722.4i) q^{62} +(-45880.3 + 38498.1i) q^{63} +(97496.0 + 168868. i) q^{64} +(-190451. - 109957. i) q^{65} +(18245.9 + 103478. i) q^{66} +(213601. - 37663.6i) q^{67} +(-35206.5 + 60979.4i) q^{68} +(-94310.9 + 54450.4i) q^{69} +(137036. + 163313. i) q^{70} +(-82680.7 - 227163. i) q^{71} +(59905.5 - 164589. i) q^{72} +(518609. + 435165. i) q^{73} +(53600.1 - 303981. i) q^{74} -172305. i q^{75} +(-76178.5 - 34493.9i) q^{76} -100702. q^{77} +(-221242. - 39010.9i) q^{78} +(-479827. + 571836. i) q^{79} +(-701673. - 255388. i) q^{80} +(93102.1 - 33886.4i) q^{81} +(-403532. + 338604. i) q^{82} +(-485257. - 840490. i) q^{83} +(30180.4 + 17424.6i) q^{84} +(158400. + 898333. i) q^{85} +(-83166.7 + 14664.5i) q^{86} +(347659. - 602163. i) q^{87} +(255041. - 147248. i) q^{88} +(670280. + 798809. i) q^{89} +(182631. + 501773. i) q^{90} +(73639.0 - 202322. i) q^{91} +(-55022.8 - 46169.6i) q^{92} +(90016.0 - 510506. i) q^{93} +80923.5i q^{94} +(-1.04324e6 + 292038. i) q^{95} -227813. q^{96} +(632417. + 111512. i) q^{97} +(525935. - 626785. i) q^{98} +(-237015. - 86266.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 8.59619 + 1.51574i 1.07452 + 0.189467i 0.682792 0.730612i \(-0.260765\pi\)
0.391731 + 0.920080i \(0.371876\pi\)
\(3\) 11.8818 14.1601i 0.440066 0.524450i −0.499733 0.866180i \(-0.666568\pi\)
0.939798 + 0.341730i \(0.111013\pi\)
\(4\) 11.4566 + 4.16987i 0.179010 + 0.0651542i
\(5\) 148.419 54.0202i 1.18735 0.432161i 0.328560 0.944483i \(-0.393437\pi\)
0.858794 + 0.512322i \(0.171214\pi\)
\(6\) 123.601 103.714i 0.572227 0.480155i
\(7\) 77.3177 + 133.918i 0.225416 + 0.390432i 0.956444 0.291915i \(-0.0942925\pi\)
−0.731028 + 0.682347i \(0.760959\pi\)
\(8\) −391.636 226.111i −0.764914 0.441624i
\(9\) 67.2563 + 381.430i 0.0922584 + 0.523223i
\(10\) 1357.72 239.403i 1.35772 0.239403i
\(11\) −325.610 + 563.973i −0.244636 + 0.423721i −0.962029 0.272947i \(-0.912002\pi\)
0.717394 + 0.696668i \(0.245335\pi\)
\(12\) 195.171 112.682i 0.112946 0.0652095i
\(13\) −894.983 1066.60i −0.407366 0.485480i 0.522885 0.852403i \(-0.324856\pi\)
−0.930251 + 0.366923i \(0.880411\pi\)
\(14\) 461.652 + 1268.38i 0.168241 + 0.462237i
\(15\) 998.550 2743.49i 0.295867 0.812887i
\(16\) −3621.58 3038.87i −0.884175 0.741911i
\(17\) −1002.89 + 5687.65i −0.204129 + 1.15767i 0.694675 + 0.719323i \(0.255548\pi\)
−0.898804 + 0.438350i \(0.855563\pi\)
\(18\) 3380.78i 0.579695i
\(19\) −6839.14 521.585i −0.997104 0.0760440i
\(20\) 1925.64 0.240705
\(21\) 2814.97 + 496.356i 0.303960 + 0.0535963i
\(22\) −3653.84 + 4354.48i −0.343148 + 0.408948i
\(23\) −5536.10 2014.97i −0.455009 0.165610i 0.104340 0.994542i \(-0.466727\pi\)
−0.559350 + 0.828932i \(0.688949\pi\)
\(24\) −7855.10 + 2859.02i −0.568222 + 0.206816i
\(25\) 7140.65 5991.71i 0.457001 0.383470i
\(26\) −6076.76 10525.2i −0.345742 0.598842i
\(27\) 17870.2 + 10317.4i 0.907903 + 0.524178i
\(28\) 327.379 + 1856.66i 0.0149134 + 0.0845780i
\(29\) 37044.3 6531.91i 1.51889 0.267822i 0.648896 0.760877i \(-0.275231\pi\)
0.869998 + 0.493055i \(0.164120\pi\)
\(30\) 12742.1 22070.0i 0.471931 0.817409i
\(31\) 24286.6 14021.9i 0.815232 0.470675i −0.0335374 0.999437i \(-0.510677\pi\)
0.848770 + 0.528763i \(0.177344\pi\)
\(32\) −7921.94 9441.00i −0.241759 0.288117i
\(33\) 4117.12 + 11311.7i 0.114565 + 0.314764i
\(34\) −17242.0 + 47372.0i −0.438683 + 1.20527i
\(35\) 18709.7 + 15699.3i 0.436378 + 0.366165i
\(36\) −819.982 + 4650.35i −0.0175751 + 0.0996731i
\(37\) 35362.3i 0.698129i −0.937099 0.349065i \(-0.886499\pi\)
0.937099 0.349065i \(-0.113501\pi\)
\(38\) −57999.9 14850.0i −1.05700 0.270630i
\(39\) −25737.2 −0.433878
\(40\) −70340.9 12403.0i −1.09908 0.193797i
\(41\) −38791.5 + 46230.0i −0.562841 + 0.670767i −0.970145 0.242525i \(-0.922024\pi\)
0.407304 + 0.913292i \(0.366469\pi\)
\(42\) 23445.7 + 8533.53i 0.316457 + 0.115181i
\(43\) −9091.37 + 3308.99i −0.114347 + 0.0416188i −0.398560 0.917142i \(-0.630490\pi\)
0.284213 + 0.958761i \(0.408268\pi\)
\(44\) −6082.09 + 5103.48i −0.0713994 + 0.0599112i
\(45\) 30587.0 + 52978.3i 0.335660 + 0.581381i
\(46\) −44535.1 25712.4i −0.457540 0.264161i
\(47\) 1609.87 + 9130.02i 0.0155059 + 0.0879383i 0.991579 0.129506i \(-0.0413391\pi\)
−0.976073 + 0.217444i \(0.930228\pi\)
\(48\) −86061.6 + 15175.0i −0.778190 + 0.137216i
\(49\) 46868.4 81178.5i 0.398375 0.690006i
\(50\) 70464.2 40682.5i 0.563714 0.325460i
\(51\) 68621.9 + 81780.4i 0.517311 + 0.616508i
\(52\) −5805.91 15951.6i −0.0412914 0.113447i
\(53\) 76100.4 209084.i 0.511163 1.40441i −0.368863 0.929484i \(-0.620253\pi\)
0.880026 0.474925i \(-0.157525\pi\)
\(54\) 137978. + 115777.i 0.876248 + 0.735259i
\(55\) −17860.9 + 101294.i −0.107353 + 0.608829i
\(56\) 69929.6i 0.398196i
\(57\) −88646.8 + 90645.8i −0.478673 + 0.489467i
\(58\) 328340. 1.68283
\(59\) −293995. 51839.3i −1.43148 0.252408i −0.596464 0.802640i \(-0.703428\pi\)
−0.835012 + 0.550232i \(0.814539\pi\)
\(60\) 22880.0 27267.3i 0.105926 0.126238i
\(61\) −267478. 97353.9i −1.17841 0.428908i −0.322773 0.946477i \(-0.604615\pi\)
−0.855642 + 0.517569i \(0.826837\pi\)
\(62\) 230025. 83722.4i 0.965163 0.351291i
\(63\) −45880.3 + 38498.1i −0.183487 + 0.153964i
\(64\) 97496.0 + 168868.i 0.371918 + 0.644181i
\(65\) −190451. 109957.i −0.693493 0.400389i
\(66\) 18245.9 + 103478.i 0.0634650 + 0.359928i
\(67\) 213601. 37663.6i 0.710197 0.125227i 0.193132 0.981173i \(-0.438135\pi\)
0.517065 + 0.855946i \(0.327024\pi\)
\(68\) −35206.5 + 60979.4i −0.111968 + 0.193935i
\(69\) −94310.9 + 54450.4i −0.287088 + 0.165750i
\(70\) 137036. + 163313.i 0.399522 + 0.476132i
\(71\) −82680.7 227163.i −0.231009 0.634692i 0.768981 0.639272i \(-0.220764\pi\)
−0.999990 + 0.00458026i \(0.998542\pi\)
\(72\) 59905.5 164589.i 0.160498 0.440964i
\(73\) 518609. + 435165.i 1.33313 + 1.11863i 0.983336 + 0.181798i \(0.0581917\pi\)
0.349791 + 0.936828i \(0.386253\pi\)
\(74\) 53600.1 303981.i 0.132273 0.750156i
\(75\) 172305.i 0.408426i
\(76\) −76178.5 34493.9i −0.173537 0.0785782i
\(77\) −100702. −0.220579
\(78\) −221242. 39010.9i −0.466212 0.0822057i
\(79\) −479827. + 571836.i −0.973204 + 1.15982i 0.0139269 + 0.999903i \(0.495567\pi\)
−0.987131 + 0.159916i \(0.948878\pi\)
\(80\) −701673. 255388.i −1.37045 0.498805i
\(81\) 93102.1 33886.4i 0.175188 0.0637632i
\(82\) −403532. + 338604.i −0.731874 + 0.614115i
\(83\) −485257. 840490.i −0.848667 1.46994i −0.882398 0.470504i \(-0.844072\pi\)
0.0337302 0.999431i \(-0.489261\pi\)
\(84\) 30180.4 + 17424.6i 0.0509198 + 0.0293985i
\(85\) 158400. + 898333.i 0.257928 + 1.46278i
\(86\) −83166.7 + 14664.5i −0.130754 + 0.0230554i
\(87\) 347659. 602163.i 0.527954 0.914443i
\(88\) 255041. 147248.i 0.374251 0.216074i
\(89\) 670280. + 798809.i 0.950794 + 1.13311i 0.990992 + 0.133920i \(0.0427566\pi\)
−0.0401983 + 0.999192i \(0.512799\pi\)
\(90\) 182631. + 501773.i 0.250522 + 0.688304i
\(91\) 73639.0 202322.i 0.0977201 0.268484i
\(92\) −55022.8 46169.6i −0.0706609 0.0592915i
\(93\) 90016.0 510506.i 0.111910 0.634676i
\(94\) 80923.5i 0.0974296i
\(95\) −1.04324e6 + 292038.i −1.21678 + 0.340619i
\(96\) −227813. −0.257492
\(97\) 632417. + 111512.i 0.692928 + 0.122182i 0.509011 0.860760i \(-0.330011\pi\)
0.183917 + 0.982942i \(0.441122\pi\)
\(98\) 525935. 626785.i 0.558797 0.665948i
\(99\) −237015. 86266.5i −0.244270 0.0889072i
\(100\) 106792. 38869.2i 0.106792 0.0388692i
\(101\) 1.33735e6 1.12217e6i 1.29802 1.08917i 0.307533 0.951537i \(-0.400497\pi\)
0.990484 0.137628i \(-0.0439479\pi\)
\(102\) 465929. + 807012.i 0.439055 + 0.760466i
\(103\) −392103. 226381.i −0.358830 0.207170i 0.309738 0.950822i \(-0.399759\pi\)
−0.668567 + 0.743652i \(0.733092\pi\)
\(104\) 109338. + 620085.i 0.0972008 + 0.551253i
\(105\) 444609. 78396.6i 0.384070 0.0677220i
\(106\) 971090. 1.68198e6i 0.815346 1.41222i
\(107\) 623059. 359723.i 0.508602 0.293641i −0.223657 0.974668i \(-0.571800\pi\)
0.732259 + 0.681027i \(0.238466\pi\)
\(108\) 161711. + 192719.i 0.128371 + 0.152987i
\(109\) 36817.3 + 101155.i 0.0284297 + 0.0781099i 0.953096 0.302670i \(-0.0978779\pi\)
−0.924666 + 0.380780i \(0.875656\pi\)
\(110\) −307071. + 843669.i −0.230707 + 0.633861i
\(111\) −500736. 420167.i −0.366134 0.307223i
\(112\) 126947. 719954.i 0.0903586 0.512449i
\(113\) 1.78231e6i 1.23523i 0.786481 + 0.617615i \(0.211901\pi\)
−0.786481 + 0.617615i \(0.788099\pi\)
\(114\) −899420. + 644843.i −0.607083 + 0.435251i
\(115\) −930512. −0.611827
\(116\) 451640. + 79636.3i 0.289347 + 0.0510196i
\(117\) 346639. 413109.i 0.216431 0.257933i
\(118\) −2.44866e6 891240.i −1.49033 0.542436i
\(119\) −839221. + 305451.i −0.498007 + 0.181260i
\(120\) −1.01140e6 + 848668.i −0.585303 + 0.491127i
\(121\) 673737. + 1.16695e6i 0.380307 + 0.658711i
\(122\) −2.15172e6 1.24230e6i −1.18497 0.684142i
\(123\) 193711. + 1.09859e6i 0.104097 + 0.590363i
\(124\) 336712. 59371.3i 0.176601 0.0311395i
\(125\) −497805. + 862224.i −0.254876 + 0.441459i
\(126\) −452749. + 261395.i −0.226332 + 0.130673i
\(127\) −127838. 152352.i −0.0624093 0.0743765i 0.733937 0.679218i \(-0.237681\pi\)
−0.796346 + 0.604841i \(0.793236\pi\)
\(128\) 851905. + 2.34059e6i 0.406220 + 1.11608i
\(129\) −61165.8 + 168052.i −0.0284931 + 0.0782842i
\(130\) −1.47048e6 1.23388e6i −0.669314 0.561621i
\(131\) 581720. 3.29910e6i 0.258762 1.46751i −0.527467 0.849576i \(-0.676858\pi\)
0.786228 0.617936i \(-0.212031\pi\)
\(132\) 146762.i 0.0638102i
\(133\) −458937. 956213.i −0.195073 0.406443i
\(134\) 1.89324e6 0.786850
\(135\) 3.20964e6 + 565945.i 1.30453 + 0.230024i
\(136\) 1.67881e6 2.00073e6i 0.667397 0.795373i
\(137\) −1.02711e6 373836.i −0.399442 0.145385i 0.134485 0.990916i \(-0.457062\pi\)
−0.533927 + 0.845531i \(0.679284\pi\)
\(138\) −893247. + 325115.i −0.339887 + 0.123709i
\(139\) −3.90570e6 + 3.27727e6i −1.45430 + 1.22030i −0.524936 + 0.851142i \(0.675911\pi\)
−0.929365 + 0.369161i \(0.879645\pi\)
\(140\) 148886. + 257878.i 0.0542588 + 0.0939790i
\(141\) 148410. + 85684.8i 0.0529428 + 0.0305666i
\(142\) −366418. 2.07806e6i −0.127971 0.725760i
\(143\) 892949. 157451.i 0.305364 0.0538440i
\(144\) 915540. 1.58576e6i 0.306612 0.531068i
\(145\) 5.14523e6 2.97060e6i 1.68772 0.974407i
\(146\) 3.79846e6 + 4.52683e6i 1.22053 + 1.45457i
\(147\) −592619. 1.62821e6i −0.186562 0.512576i
\(148\) 147456. 405133.i 0.0454861 0.124972i
\(149\) 1.18645e6 + 995551.i 0.358667 + 0.300957i 0.804259 0.594279i \(-0.202562\pi\)
−0.445592 + 0.895236i \(0.647007\pi\)
\(150\) 261169. 1.48116e6i 0.0773834 0.438863i
\(151\) 3.95483e6i 1.14867i 0.818619 + 0.574337i \(0.194740\pi\)
−0.818619 + 0.574337i \(0.805260\pi\)
\(152\) 2.56052e6 + 1.75068e6i 0.729117 + 0.498512i
\(153\) −2.23689e6 −0.624554
\(154\) −865651. 152638.i −0.237018 0.0417926i
\(155\) 2.84713e6 3.39308e6i 0.764562 0.911169i
\(156\) −294861. 107321.i −0.0776683 0.0282690i
\(157\) −451040. + 164165.i −0.116551 + 0.0424211i −0.399637 0.916673i \(-0.630864\pi\)
0.283086 + 0.959094i \(0.408642\pi\)
\(158\) −4.99144e6 + 4.18832e6i −1.26548 + 1.06186i
\(159\) −2.05645e6 3.56188e6i −0.511597 0.886111i
\(160\) −1.68577e6 973282.i −0.411566 0.237618i
\(161\) −158197. 897177.i −0.0379070 0.214981i
\(162\) 851686. 150175.i 0.200325 0.0353226i
\(163\) −1.75690e6 + 3.04304e6i −0.405681 + 0.702660i −0.994400 0.105677i \(-0.966299\pi\)
0.588719 + 0.808337i \(0.299632\pi\)
\(164\) −637193. + 367884.i −0.144457 + 0.0834025i
\(165\) 1.22212e6 + 1.45646e6i 0.272058 + 0.324226i
\(166\) −2.89740e6 7.96053e6i −0.633408 1.74027i
\(167\) −1.66490e6 + 4.57427e6i −0.357469 + 0.982138i 0.622436 + 0.782671i \(0.286143\pi\)
−0.979905 + 0.199467i \(0.936079\pi\)
\(168\) −990214. 830888.i −0.208834 0.175232i
\(169\) 501527. 2.84430e6i 0.103904 0.589272i
\(170\) 7.96233e6i 1.62067i
\(171\) −261027. 2.64373e6i −0.0522033 0.528724i
\(172\) −117954. −0.0231808
\(173\) 1.21771e6 + 214715.i 0.235182 + 0.0414690i 0.289997 0.957028i \(-0.406346\pi\)
−0.0548147 + 0.998497i \(0.517457\pi\)
\(174\) 3.90126e6 4.64935e6i 0.740556 0.882560i
\(175\) 1.35450e6 + 492997.i 0.252734 + 0.0919878i
\(176\) 2.89306e6 1.05299e6i 0.530664 0.193146i
\(177\) −4.22723e6 + 3.54707e6i −0.762319 + 0.639661i
\(178\) 4.55107e6 + 7.88268e6i 0.806962 + 1.39770i
\(179\) −5.58228e6 3.22293e6i −0.973313 0.561943i −0.0730686 0.997327i \(-0.523279\pi\)
−0.900245 + 0.435384i \(0.856613\pi\)
\(180\) 129512. + 734497.i 0.0222071 + 0.125942i
\(181\) 3.87097e6 682557.i 0.652806 0.115107i 0.162570 0.986697i \(-0.448022\pi\)
0.490236 + 0.871590i \(0.336911\pi\)
\(182\) 939682. 1.62758e6i 0.155871 0.269977i
\(183\) −4.55665e6 + 2.63078e6i −0.743520 + 0.429271i
\(184\) 1.71253e6 + 2.04091e6i 0.274906 + 0.327620i
\(185\) −1.91028e6 5.24845e6i −0.301705 0.828926i
\(186\) 1.54759e6 4.25196e6i 0.240501 0.660771i
\(187\) −2.88113e6 2.41756e6i −0.440594 0.369702i
\(188\) −19627.3 + 111312.i −0.00295385 + 0.0167521i
\(189\) 3.19087e6i 0.472633i
\(190\) −9.41051e6 + 929141.i −1.37199 + 0.135463i
\(191\) −2.88573e6 −0.414148 −0.207074 0.978325i \(-0.566394\pi\)
−0.207074 + 0.978325i \(0.566394\pi\)
\(192\) 3.54962e6 + 625894.i 0.501509 + 0.0884295i
\(193\) −3.14451e6 + 3.74748e6i −0.437402 + 0.521276i −0.939043 0.343801i \(-0.888286\pi\)
0.501640 + 0.865076i \(0.332730\pi\)
\(194\) 5.26735e6 + 1.91716e6i 0.721418 + 0.262575i
\(195\) −3.81989e6 + 1.39033e6i −0.515166 + 0.187505i
\(196\) 875458. 734596.i 0.116270 0.0975620i
\(197\) 1.58381e6 + 2.74324e6i 0.207160 + 0.358811i 0.950819 0.309748i \(-0.100245\pi\)
−0.743659 + 0.668559i \(0.766911\pi\)
\(198\) −1.90667e6 1.10082e6i −0.245629 0.141814i
\(199\) −1.30165e6 7.38203e6i −0.165172 0.936734i −0.948887 0.315615i \(-0.897789\pi\)
0.783716 0.621119i \(-0.213322\pi\)
\(200\) −4.15133e6 + 731991.i −0.518916 + 0.0914989i
\(201\) 2.00464e6 3.47213e6i 0.246858 0.427571i
\(202\) 1.31970e7 7.61930e6i 1.60111 0.924402i
\(203\) 3.73892e6 + 4.45587e6i 0.446949 + 0.532654i
\(204\) 445162. + 1.22307e6i 0.0524357 + 0.144066i
\(205\) −3.26006e6 + 8.95694e6i −0.378411 + 1.03968i
\(206\) −3.02746e6 2.54034e6i −0.346319 0.290596i
\(207\) 396233. 2.24715e6i 0.0446725 0.253350i
\(208\) 6.58251e6i 0.731479i
\(209\) 2.52105e6 3.68726e6i 0.276149 0.403891i
\(210\) 3.94077e6 0.425524
\(211\) 9.75994e6 + 1.72094e6i 1.03896 + 0.183197i 0.667005 0.745053i \(-0.267576\pi\)
0.371957 + 0.928250i \(0.378687\pi\)
\(212\) 1.74371e6 2.07807e6i 0.183006 0.218098i
\(213\) −4.19906e6 1.52833e6i −0.434523 0.158153i
\(214\) 5.90118e6 2.14785e6i 0.602140 0.219161i
\(215\) −1.17058e6 + 982235.i −0.117784 + 0.0988326i
\(216\) −4.66576e6 8.08133e6i −0.462979 0.801902i
\(217\) 3.75557e6 + 2.16828e6i 0.367533 + 0.212195i
\(218\) 163164. + 925349.i 0.0157491 + 0.0893174i
\(219\) 1.23240e7 2.17305e6i 1.17333 0.206889i
\(220\) −627008. + 1.08601e6i −0.0588850 + 0.101992i
\(221\) 6.96401e6 4.02067e6i 0.645183 0.372496i
\(222\) −3.66755e6 4.37082e6i −0.335210 0.399488i
\(223\) 3.07327e6 + 8.44375e6i 0.277132 + 0.761414i 0.997684 + 0.0680133i \(0.0216660\pi\)
−0.720552 + 0.693400i \(0.756112\pi\)
\(224\) 651816. 1.79085e6i 0.0579937 0.159336i
\(225\) 2.76567e6 + 2.32067e6i 0.242802 + 0.203735i
\(226\) −2.70152e6 + 1.53211e7i −0.234036 + 1.32728i
\(227\) 1.75761e7i 1.50261i −0.659956 0.751304i \(-0.729425\pi\)
0.659956 0.751304i \(-0.270575\pi\)
\(228\) −1.39357e6 + 668850.i −0.117578 + 0.0564318i
\(229\) 5.87546e6 0.489255 0.244627 0.969617i \(-0.421334\pi\)
0.244627 + 0.969617i \(0.421334\pi\)
\(230\) −7.99886e6 1.41041e6i −0.657422 0.115921i
\(231\) −1.19651e6 + 1.42595e6i −0.0970693 + 0.115683i
\(232\) −1.59848e7 5.81800e6i −1.28010 0.465918i
\(233\) −1.74822e7 + 6.36299e6i −1.38206 + 0.503029i −0.922803 0.385273i \(-0.874107\pi\)
−0.459259 + 0.888303i \(0.651885\pi\)
\(234\) 3.60594e6 3.02574e6i 0.281431 0.236148i
\(235\) 732141. + 1.26811e6i 0.0564145 + 0.0977128i
\(236\) −3.15203e6 1.81982e6i −0.239803 0.138450i
\(237\) 2.39608e6 + 1.35888e7i 0.179993 + 1.02079i
\(238\) −7.67708e6 + 1.35368e6i −0.569463 + 0.100412i
\(239\) 6.72035e6 1.16400e7i 0.492264 0.852627i −0.507696 0.861536i \(-0.669503\pi\)
0.999960 + 0.00890968i \(0.00283608\pi\)
\(240\) −1.19534e7 + 6.90132e6i −0.864688 + 0.499228i
\(241\) −8.73855e6 1.04142e7i −0.624292 0.744003i 0.357510 0.933909i \(-0.383626\pi\)
−0.981802 + 0.189907i \(0.939181\pi\)
\(242\) 4.02278e6 + 1.10525e7i 0.283844 + 0.779856i
\(243\) −4.51855e6 + 1.24146e7i −0.314905 + 0.865195i
\(244\) −2.65844e6 2.23069e6i −0.183002 0.153557i
\(245\) 2.57090e6 1.45803e7i 0.174818 0.991444i
\(246\) 9.73728e6i 0.654082i
\(247\) 5.56459e6 + 7.76143e6i 0.369269 + 0.515052i
\(248\) −1.26820e7 −0.831444
\(249\) −1.76672e7 3.11520e6i −1.14438 0.201784i
\(250\) −5.58613e6 + 6.65730e6i −0.357513 + 0.426067i
\(251\) −5.09602e6 1.85480e6i −0.322263 0.117294i 0.175823 0.984422i \(-0.443741\pi\)
−0.498086 + 0.867128i \(0.665964\pi\)
\(252\) −686165. + 249744.i −0.0428773 + 0.0156061i
\(253\) 2.93900e6 2.46611e6i 0.181484 0.152283i
\(254\) −867996. 1.50341e6i −0.0529683 0.0917438i
\(255\) 1.46026e7 + 8.43081e6i 0.880663 + 0.508451i
\(256\) 1.60837e6 + 9.12152e6i 0.0958663 + 0.543685i
\(257\) 706563. 124586.i 0.0416247 0.00733957i −0.152797 0.988258i \(-0.548828\pi\)
0.194422 + 0.980918i \(0.437717\pi\)
\(258\) −780516. + 1.35189e6i −0.0454488 + 0.0787196i
\(259\) 4.73566e6 2.73414e6i 0.272572 0.157370i
\(260\) −1.72342e6 2.05389e6i −0.0980551 0.116857i
\(261\) 4.98293e6 + 1.36905e7i 0.280261 + 0.770012i
\(262\) 1.00012e7 2.74779e7i 0.556091 1.52785i
\(263\) 1.93289e7 + 1.62189e7i 1.06253 + 0.891568i 0.994355 0.106105i \(-0.0338381\pi\)
0.0681745 + 0.997673i \(0.478283\pi\)
\(264\) 945287. 5.36099e6i 0.0513750 0.291362i
\(265\) 3.51431e7i 1.88843i
\(266\) −2.49574e6 8.91542e6i −0.132603 0.473693i
\(267\) 1.92754e7 1.01267
\(268\) 2.60420e6 + 459191.i 0.135291 + 0.0238555i
\(269\) −5.53083e6 + 6.59138e6i −0.284140 + 0.338625i −0.889169 0.457578i \(-0.848717\pi\)
0.605029 + 0.796203i \(0.293162\pi\)
\(270\) 2.67328e7 + 9.72995e6i 1.35817 + 0.494332i
\(271\) 7.06916e6 2.57296e6i 0.355189 0.129278i −0.158262 0.987397i \(-0.550589\pi\)
0.513451 + 0.858119i \(0.328367\pi\)
\(272\) 2.09160e7 1.75506e7i 1.03938 0.872140i
\(273\) −1.98994e6 3.44668e6i −0.0978030 0.169400i
\(274\) −8.26255e6 4.77039e6i −0.401664 0.231901i
\(275\) 1.05410e6 + 5.97809e6i 0.0506855 + 0.287452i
\(276\) −1.30754e6 + 230554.i −0.0621909 + 0.0109659i
\(277\) −3.88846e6 + 6.73502e6i −0.182953 + 0.316883i −0.942885 0.333119i \(-0.891899\pi\)
0.759932 + 0.650003i \(0.225232\pi\)
\(278\) −3.85416e7 + 2.22520e7i −1.79389 + 1.03570i
\(279\) 6.98178e6 + 8.32056e6i 0.321480 + 0.383125i
\(280\) −3.77761e6 1.03789e7i −0.172085 0.472800i
\(281\) 1.02511e7 2.81648e7i 0.462012 1.26937i −0.461958 0.886902i \(-0.652853\pi\)
0.923970 0.382465i \(-0.124925\pi\)
\(282\) 1.14589e6 + 961514.i 0.0510969 + 0.0428754i
\(283\) −1.42529e6 + 8.08325e6i −0.0628847 + 0.356637i 0.937087 + 0.349096i \(0.113511\pi\)
−0.999972 + 0.00754070i \(0.997600\pi\)
\(284\) 2.94729e6i 0.128667i
\(285\) −8.26019e6 + 1.82423e7i −0.356825 + 0.788034i
\(286\) 7.91461e6 0.338323
\(287\) −9.19031e6 1.62050e6i −0.388763 0.0685493i
\(288\) 3.06828e6 3.65663e6i 0.128445 0.153075i
\(289\) −8.66168e6 3.15260e6i −0.358847 0.130609i
\(290\) 4.87320e7 1.77370e7i 1.99811 0.727254i
\(291\) 9.09326e6 7.63015e6i 0.369012 0.309638i
\(292\) 4.12693e6 + 7.14805e6i 0.165759 + 0.287104i
\(293\) 1.18728e7 + 6.85475e6i 0.472008 + 0.272514i 0.717080 0.696991i \(-0.245478\pi\)
−0.245072 + 0.969505i \(0.578812\pi\)
\(294\) −2.62633e6 1.48946e7i −0.103349 0.586122i
\(295\) −4.64349e7 + 8.18773e6i −1.80875 + 0.318931i
\(296\) −7.99582e6 + 1.38492e7i −0.308310 + 0.534009i
\(297\) −1.16375e7 + 6.71889e6i −0.444211 + 0.256465i
\(298\) 8.68996e6 + 1.03563e7i 0.328374 + 0.391341i
\(299\) 2.80554e6 + 7.70817e6i 0.104955 + 0.288362i
\(300\) 718488. 1.97403e6i 0.0266107 0.0731122i
\(301\) −1.14606e6 961657.i −0.0420249 0.0352631i
\(302\) −5.99449e6 + 3.39964e7i −0.217636 + 1.23428i
\(303\) 3.22704e7i 1.16005i
\(304\) 2.31835e7 + 2.26722e7i 0.825197 + 0.806999i
\(305\) −4.49579e7 −1.58455
\(306\) −1.92287e7 3.39054e6i −0.671098 0.118333i
\(307\) −2.34833e7 + 2.79863e7i −0.811602 + 0.967230i −0.999889 0.0148840i \(-0.995262\pi\)
0.188287 + 0.982114i \(0.439707\pi\)
\(308\) −1.15370e6 419913.i −0.0394858 0.0143717i
\(309\) −7.86446e6 + 2.86243e6i −0.266559 + 0.0970196i
\(310\) 2.96175e7 2.48520e7i 0.994176 0.834213i
\(311\) −1.41766e7 2.45547e7i −0.471294 0.816305i 0.528167 0.849141i \(-0.322880\pi\)
−0.999461 + 0.0328354i \(0.989546\pi\)
\(312\) 1.00796e7 + 5.81947e6i 0.331879 + 0.191611i
\(313\) 2.88137e6 + 1.63411e7i 0.0939650 + 0.532902i 0.995060 + 0.0992793i \(0.0316537\pi\)
−0.901095 + 0.433622i \(0.857235\pi\)
\(314\) −4.12606e6 + 727535.i −0.133274 + 0.0234999i
\(315\) −4.72984e6 + 8.19232e6i −0.151326 + 0.262105i
\(316\) −7.88168e6 + 4.55049e6i −0.249780 + 0.144211i
\(317\) −3.18114e7 3.79113e7i −0.998630 1.19012i −0.981733 0.190263i \(-0.939066\pi\)
−0.0168966 0.999857i \(-0.505379\pi\)
\(318\) −1.22788e7 3.37357e7i −0.381833 1.04908i
\(319\) −8.37817e6 + 2.30188e7i −0.258094 + 0.709106i
\(320\) 2.35926e7 + 1.97965e7i 0.719988 + 0.604142i
\(321\) 2.30931e6 1.30968e7i 0.0698180 0.395958i
\(322\) 7.95209e6i 0.238185i
\(323\) 9.82547e6 3.83755e7i 0.291572 1.13880i
\(324\) 1.20794e6 0.0355148
\(325\) −1.27815e7 2.25373e6i −0.372334 0.0656525i
\(326\) −1.97151e7 + 2.34956e7i −0.569045 + 0.678161i
\(327\) 1.86982e6 + 680558.i 0.0534757 + 0.0194635i
\(328\) 2.56453e7 9.33412e6i 0.726752 0.264516i
\(329\) −1.09820e6 + 921503.i −0.0308387 + 0.0258767i
\(330\) 8.29794e6 + 1.43724e7i 0.230902 + 0.399935i
\(331\) 3.88169e7 + 2.24110e7i 1.07038 + 0.617983i 0.928285 0.371871i \(-0.121284\pi\)
0.142093 + 0.989853i \(0.454617\pi\)
\(332\) −2.05467e6 1.16526e7i −0.0561473 0.318427i
\(333\) 1.34882e7 2.37834e6i 0.365277 0.0644082i
\(334\) −2.12452e7 + 3.67977e7i −0.570192 + 0.987601i
\(335\) 2.96679e7 1.71288e7i 0.789137 0.455609i
\(336\) −8.68629e6 1.03519e7i −0.228990 0.272900i
\(337\) 5.61840e6 + 1.54364e7i 0.146799 + 0.403327i 0.991198 0.132388i \(-0.0422645\pi\)
−0.844399 + 0.535715i \(0.820042\pi\)
\(338\) 8.62244e6 2.36900e7i 0.223296 0.613500i
\(339\) 2.52377e7 + 2.11770e7i 0.647816 + 0.543582i
\(340\) −1.93120e6 + 1.09524e7i −0.0491349 + 0.278658i
\(341\) 1.82626e7i 0.460575i
\(342\) 1.76337e6 2.31217e7i 0.0440823 0.578017i
\(343\) 3.26878e7 0.810033
\(344\) 4.30871e6 + 759742.i 0.105845 + 0.0186634i
\(345\) −1.10561e7 + 1.31762e7i −0.269244 + 0.320873i
\(346\) 1.01422e7 + 3.69145e6i 0.244852 + 0.0891187i
\(347\) −5.23735e7 + 1.90624e7i −1.25350 + 0.456235i −0.881582 0.472032i \(-0.843521\pi\)
−0.371915 + 0.928267i \(0.621299\pi\)
\(348\) 6.49394e6 5.44906e6i 0.154089 0.129296i
\(349\) −2.58716e7 4.48109e7i −0.608620 1.05416i −0.991468 0.130350i \(-0.958390\pi\)
0.382848 0.923812i \(-0.374943\pi\)
\(350\) 1.08963e7 + 6.29096e6i 0.254140 + 0.146728i
\(351\) −4.98905e6 2.82943e7i −0.115371 0.654301i
\(352\) 7.90394e6 1.39368e6i 0.181224 0.0319547i
\(353\) 7.63016e6 1.32158e7i 0.173464 0.300449i −0.766165 0.642644i \(-0.777837\pi\)
0.939629 + 0.342196i \(0.111171\pi\)
\(354\) −4.17145e7 + 2.40839e7i −0.940324 + 0.542896i
\(355\) −2.45428e7 2.92490e7i −0.548579 0.653771i
\(356\) 4.34822e6 + 1.19466e7i 0.0963743 + 0.264786i
\(357\) −5.64619e6 + 1.55128e7i −0.124094 + 0.340946i
\(358\) −4.31012e7 3.61662e7i −0.939378 0.788232i
\(359\) −1.04062e7 + 5.90167e7i −0.224911 + 1.27553i 0.637945 + 0.770082i \(0.279785\pi\)
−0.862856 + 0.505450i \(0.831326\pi\)
\(360\) 2.76643e7i 0.592942i
\(361\) 4.65018e7 + 7.13439e6i 0.988435 + 0.151648i
\(362\) 3.43102e7 0.723264
\(363\) 2.45293e7 + 4.32518e6i 0.512821 + 0.0904241i
\(364\) 1.68731e6 2.01086e6i 0.0349857 0.0416943i
\(365\) 1.00479e8 + 3.65714e7i 2.06632 + 0.752079i
\(366\) −4.31574e7 + 1.57080e7i −0.880262 + 0.320389i
\(367\) 2.27920e7 1.91248e7i 0.461088 0.386899i −0.382443 0.923979i \(-0.624917\pi\)
0.843531 + 0.537080i \(0.180473\pi\)
\(368\) 1.39262e7 + 2.41209e7i 0.279440 + 0.484004i
\(369\) −2.02425e7 1.16870e7i −0.402888 0.232607i
\(370\) −8.46584e6 4.80121e7i −0.167134 0.947864i
\(371\) 3.38841e7 5.97468e6i 0.663551 0.117002i
\(372\) 3.16002e6 5.47332e6i 0.0613849 0.106322i
\(373\) 4.94374e7 2.85427e7i 0.952640 0.550007i 0.0587402 0.998273i \(-0.481292\pi\)
0.893900 + 0.448266i \(0.147958\pi\)
\(374\) −2.11024e7 2.51488e7i −0.403382 0.480732i
\(375\) 6.29441e6 + 1.72937e7i 0.119361 + 0.327941i
\(376\) 1.43392e6 3.93966e6i 0.0269749 0.0741130i
\(377\) −4.01210e7 3.36655e7i −0.748768 0.628291i
\(378\) −4.83653e6 + 2.74293e7i −0.0895485 + 0.507855i
\(379\) 1.63717e7i 0.300730i 0.988631 + 0.150365i \(0.0480449\pi\)
−0.988631 + 0.150365i \(0.951955\pi\)
\(380\) −1.31697e7 1.00439e6i −0.240008 0.0183042i
\(381\) −3.67626e6 −0.0664709
\(382\) −2.48062e7 4.37401e6i −0.445011 0.0784675i
\(383\) 2.81094e7 3.34994e7i 0.500328 0.596267i −0.455485 0.890243i \(-0.650534\pi\)
0.955813 + 0.293976i \(0.0949786\pi\)
\(384\) 4.32652e7 + 1.57473e7i 0.764092 + 0.278107i
\(385\) −1.49461e7 + 5.43992e6i −0.261906 + 0.0953258i
\(386\) −3.27110e7 + 2.74478e7i −0.568764 + 0.477249i
\(387\) −1.87360e6 3.24517e6i −0.0323254 0.0559892i
\(388\) 6.78037e6 + 3.91465e6i 0.116080 + 0.0670189i
\(389\) 2.03508e6 + 1.15415e7i 0.0345726 + 0.196071i 0.997202 0.0747502i \(-0.0238160\pi\)
−0.962630 + 0.270821i \(0.912705\pi\)
\(390\) −3.49439e7 + 6.16155e6i −0.589084 + 0.103871i
\(391\) 1.70125e7 2.94666e7i 0.284603 0.492946i
\(392\) −3.67107e7 + 2.11950e7i −0.609446 + 0.351864i
\(393\) −3.98039e7 4.74364e7i −0.655764 0.781509i
\(394\) 9.45671e6 + 2.59821e7i 0.154615 + 0.424801i
\(395\) −4.03249e7 + 1.10792e8i −0.654308 + 1.79770i
\(396\) −2.35568e6 1.97665e6i −0.0379341 0.0318305i
\(397\) −1.37589e7 + 7.80308e7i −0.219894 + 1.24708i 0.652315 + 0.757948i \(0.273798\pi\)
−0.872209 + 0.489133i \(0.837313\pi\)
\(398\) 6.54302e7i 1.03784i
\(399\) −1.89931e7 4.86289e6i −0.299004 0.0765555i
\(400\) −4.40685e7 −0.688570
\(401\) 9.03051e6 + 1.59232e6i 0.140049 + 0.0246944i 0.243233 0.969968i \(-0.421792\pi\)
−0.103184 + 0.994662i \(0.532903\pi\)
\(402\) 2.24951e7 2.68086e7i 0.346266 0.412663i
\(403\) −3.66918e7 1.33547e7i −0.560601 0.204042i
\(404\) 2.00008e7 7.27969e6i 0.303321 0.110400i
\(405\) 1.19876e7 1.00588e7i 0.180454 0.151419i
\(406\) 2.53865e7 + 4.39708e7i 0.379337 + 0.657031i
\(407\) 1.99434e7 + 1.15143e7i 0.295812 + 0.170787i
\(408\) −8.38335e6 4.75443e7i −0.123435 0.700032i
\(409\) 3.71791e6 655568.i 0.0543412 0.00958182i −0.146411 0.989224i \(-0.546772\pi\)
0.200753 + 0.979642i \(0.435661\pi\)
\(410\) −4.16005e7 + 7.20541e7i −0.603597 + 1.04546i
\(411\) −1.74974e7 + 1.01021e7i −0.252028 + 0.145508i
\(412\) −3.54820e6 4.22858e6i −0.0507360 0.0604648i
\(413\) −1.57888e7 4.33794e7i −0.224130 0.615791i
\(414\) 6.81219e6 1.87163e7i 0.0960032 0.263767i
\(415\) −1.17425e8 9.85312e7i −1.64292 1.37857i
\(416\) −2.97976e6 + 1.68991e7i −0.0413906 + 0.234738i
\(417\) 9.42450e7i 1.29972i
\(418\) 2.72604e7 2.78751e7i 0.373252 0.381669i
\(419\) −1.46967e7 −0.199792 −0.0998959 0.994998i \(-0.531851\pi\)
−0.0998959 + 0.994998i \(0.531851\pi\)
\(420\) 5.42063e6 + 955803.i 0.0731647 + 0.0129009i
\(421\) 1.19268e7 1.42138e7i 0.159837 0.190486i −0.680182 0.733043i \(-0.738099\pi\)
0.840019 + 0.542557i \(0.182544\pi\)
\(422\) 8.12897e7 + 2.95870e7i 1.08168 + 0.393699i
\(423\) −3.37419e6 + 1.22810e6i −0.0445808 + 0.0162261i
\(424\) −7.70799e7 + 6.46778e7i −1.01122 + 0.848511i
\(425\) 2.69175e7 + 4.66225e7i 0.350645 + 0.607336i
\(426\) −3.37793e7 1.95025e7i −0.436940 0.252268i
\(427\) −7.64330e6 4.33473e7i −0.0981742 0.556773i
\(428\) 8.63815e6 1.52314e6i 0.110177 0.0194271i
\(429\) 8.38028e6 1.45151e7i 0.106142 0.183843i
\(430\) −1.15514e7 + 6.66918e6i −0.145287 + 0.0838816i
\(431\) 2.94785e7 + 3.51311e7i 0.368192 + 0.438794i 0.918050 0.396464i \(-0.129763\pi\)
−0.549859 + 0.835258i \(0.685318\pi\)
\(432\) −3.33654e7 9.16706e7i −0.413852 1.13705i
\(433\) 5.46141e6 1.50051e7i 0.0672730 0.184831i −0.901501 0.432778i \(-0.857534\pi\)
0.968774 + 0.247947i \(0.0797557\pi\)
\(434\) 2.89970e7 + 2.43314e7i 0.354719 + 0.297644i
\(435\) 1.90703e7 1.08153e8i 0.231681 1.31393i
\(436\) 1.31241e6i 0.0158348i
\(437\) 3.68112e7 + 1.66682e7i 0.441098 + 0.199731i
\(438\) 1.09233e8 1.29997
\(439\) 7.07079e7 + 1.24677e7i 0.835746 + 0.147365i 0.575114 0.818074i \(-0.304958\pi\)
0.260632 + 0.965438i \(0.416069\pi\)
\(440\) 2.98987e7 3.56318e7i 0.350989 0.418293i
\(441\) 3.41161e7 + 1.24172e7i 0.397781 + 0.144780i
\(442\) 6.59582e7 2.40068e7i 0.763840 0.278015i
\(443\) 2.87285e7 2.41061e7i 0.330447 0.277278i −0.462435 0.886653i \(-0.653024\pi\)
0.792882 + 0.609375i \(0.208580\pi\)
\(444\) −3.98470e6 6.90170e6i −0.0455246 0.0788510i
\(445\) 1.42634e8 + 8.23499e7i 1.61862 + 0.934508i
\(446\) 1.36199e7 + 7.72423e7i 0.153522 + 0.870664i
\(447\) 2.81943e7 4.97141e6i 0.315674 0.0556618i
\(448\) −1.50763e7 + 2.61130e7i −0.167673 + 0.290417i
\(449\) 8.93364e7 5.15784e7i 0.986937 0.569808i 0.0825795 0.996584i \(-0.473684\pi\)
0.904357 + 0.426776i \(0.140351\pi\)
\(450\) 2.02567e7 + 2.41410e7i 0.222296 + 0.264922i
\(451\) −1.34415e7 3.69303e7i −0.146528 0.402581i
\(452\) −7.43200e6 + 2.04192e7i −0.0804804 + 0.221118i
\(453\) 5.60009e7 + 4.69903e7i 0.602421 + 0.505492i
\(454\) 2.66408e7 1.51088e8i 0.284695 1.61459i
\(455\) 3.40064e7i 0.361016i
\(456\) 5.52133e7 1.54561e7i 0.582304 0.163007i
\(457\) −1.65450e8 −1.73348 −0.866740 0.498761i \(-0.833789\pi\)
−0.866740 + 0.498761i \(0.833789\pi\)
\(458\) 5.05065e7 + 8.90566e6i 0.525716 + 0.0926979i
\(459\) −7.66035e7 + 9.12926e7i −0.792156 + 0.944055i
\(460\) −1.06605e7 3.88012e6i −0.109523 0.0398631i
\(461\) −1.00053e8 + 3.64164e7i −1.02124 + 0.371702i −0.797740 0.603002i \(-0.793971\pi\)
−0.223502 + 0.974703i \(0.571749\pi\)
\(462\) −1.24468e7 + 1.04441e7i −0.126221 + 0.105912i
\(463\) −5.34280e7 9.25400e7i −0.538302 0.932366i −0.998996 0.0448072i \(-0.985733\pi\)
0.460694 0.887559i \(-0.347601\pi\)
\(464\) −1.54009e8 8.89169e7i −1.54167 0.890082i
\(465\) −1.42175e7 8.06316e7i −0.141405 0.801948i
\(466\) −1.59925e8 + 2.81990e7i −1.58036 + 0.278661i
\(467\) −3.79778e7 + 6.57794e7i −0.372888 + 0.645861i −0.990009 0.141007i \(-0.954966\pi\)
0.617120 + 0.786869i \(0.288299\pi\)
\(468\) 5.69393e6 3.28739e6i 0.0555488 0.0320711i
\(469\) 2.15590e7 + 2.56930e7i 0.208983 + 0.249056i
\(470\) 4.37150e6 + 1.20106e7i 0.0421053 + 0.115683i
\(471\) −3.03455e6 + 8.33737e6i −0.0290424 + 0.0797933i
\(472\) 1.03418e8 + 8.67777e7i 0.983487 + 0.825244i
\(473\) 1.09406e6 6.20473e6i 0.0103385 0.0586326i
\(474\) 1.20444e8i 1.13097i
\(475\) −5.19611e7 + 3.72537e7i −0.484839 + 0.347607i
\(476\) −1.08883e7 −0.100958
\(477\) 8.48691e7 + 1.49647e7i 0.781978 + 0.137884i
\(478\) 7.54126e7 8.98732e7i 0.690494 0.822899i
\(479\) −1.67289e8 6.08882e7i −1.52216 0.554022i −0.560475 0.828171i \(-0.689382\pi\)
−0.961687 + 0.274149i \(0.911604\pi\)
\(480\) −3.38118e7 + 1.23065e7i −0.305734 + 0.111278i
\(481\) −3.77174e7 + 3.16487e7i −0.338928 + 0.284394i
\(482\) −5.93330e7 1.02768e8i −0.529852 0.917731i
\(483\) −1.45838e7 8.41997e6i −0.129428 0.0747256i
\(484\) 2.85273e6 + 1.61787e7i 0.0251608 + 0.142694i
\(485\) 9.98867e7 1.76127e7i 0.875553 0.154384i
\(486\) −5.76596e7 + 9.98693e7i −0.502299 + 0.870008i
\(487\) −1.09635e8 + 6.32976e7i −0.949207 + 0.548025i −0.892834 0.450385i \(-0.851287\pi\)
−0.0563723 + 0.998410i \(0.517953\pi\)
\(488\) 8.27411e7 + 9.86070e7i 0.711970 + 0.848493i
\(489\) 2.22148e7 + 6.10347e7i 0.189984 + 0.521976i
\(490\) 4.41999e7 1.21438e8i 0.375693 1.03221i
\(491\) −1.01130e8 8.48585e7i −0.854353 0.716887i 0.106391 0.994324i \(-0.466071\pi\)
−0.960744 + 0.277437i \(0.910515\pi\)
\(492\) −2.36170e6 + 1.33939e7i −0.0198303 + 0.112463i
\(493\) 2.17246e8i 1.81305i
\(494\) 3.60700e7 + 7.51532e7i 0.299202 + 0.623400i
\(495\) −3.98378e7 −0.328458
\(496\) −1.30566e8 2.30224e7i −1.07001 0.188671i
\(497\) 2.40286e7 2.86362e7i 0.195731 0.233263i
\(498\) −1.47148e8 5.35577e7i −1.19143 0.433644i
\(499\) 2.18363e8 7.94776e7i 1.75743 0.639651i 0.757512 0.652821i \(-0.226414\pi\)
0.999913 + 0.0131700i \(0.00419227\pi\)
\(500\) −9.29853e6 + 7.80239e6i −0.0743883 + 0.0624192i
\(501\) 4.49904e7 + 7.79256e7i 0.357772 + 0.619679i
\(502\) −4.09950e7 2.36684e7i −0.324055 0.187093i
\(503\) 7.09114e6 + 4.02159e7i 0.0557202 + 0.316005i 0.999910 0.0133963i \(-0.00426431\pi\)
−0.944190 + 0.329401i \(0.893153\pi\)
\(504\) 2.66732e7 4.70321e6i 0.208346 0.0367369i
\(505\) 1.37868e8 2.38795e8i 1.07051 1.85418i
\(506\) 2.90022e7 1.67444e7i 0.223861 0.129246i
\(507\) −3.43167e7 4.08970e7i −0.263319 0.313811i
\(508\) −829308. 2.27850e6i −0.00632593 0.0173804i
\(509\) 2.03752e7 5.59805e7i 0.154507 0.424505i −0.838154 0.545434i \(-0.816365\pi\)
0.992661 + 0.120928i \(0.0385872\pi\)
\(510\) 1.12748e8 + 9.46066e7i 0.849958 + 0.713199i
\(511\) −1.81788e7 + 1.03097e8i −0.136239 + 0.772652i
\(512\) 7.85633e7i 0.585343i
\(513\) −1.16836e8 7.98830e7i −0.865413 0.591701i
\(514\) 6.26259e6 0.0461174
\(515\) −7.04247e7 1.24178e7i −0.515589 0.0909122i
\(516\) −1.40151e6 + 1.67025e6i −0.0102011 + 0.0121572i
\(517\) −5.67327e6 2.06490e6i −0.0410546 0.0149427i
\(518\) 4.48529e7 1.63251e7i 0.322701 0.117454i
\(519\) 1.75089e7 1.46917e7i 0.125244 0.105092i
\(520\) 4.97249e7 + 8.61261e7i 0.353642 + 0.612526i
\(521\) −1.30897e8 7.55732e7i −0.925582 0.534385i −0.0401706 0.999193i \(-0.512790\pi\)
−0.885412 + 0.464808i \(0.846123\pi\)
\(522\) 2.20830e7 + 1.25239e8i 0.155255 + 0.880496i
\(523\) 3.00440e7 5.29757e6i 0.210016 0.0370316i −0.0676500 0.997709i \(-0.521550\pi\)
0.277666 + 0.960678i \(0.410439\pi\)
\(524\) 2.04214e7 3.53709e7i 0.141936 0.245840i
\(525\) 2.30747e7 1.33222e7i 0.159463 0.0920658i
\(526\) 1.41572e8 + 1.68718e8i 0.972789 + 1.15933i
\(527\) 5.53948e7 + 1.52196e8i 0.378475 + 1.03985i
\(528\) 1.94642e7 5.34775e7i 0.132232 0.363304i
\(529\) −8.68138e7 7.28455e7i −0.586438 0.492080i
\(530\) 5.32677e7 3.02096e8i 0.357797 2.02917i
\(531\) 1.15625e8i 0.772268i
\(532\) −1.27058e6 1.28687e7i −0.00843855 0.0854672i
\(533\) 8.40266e7 0.554926
\(534\) 1.65695e8 + 2.92164e7i 1.08814 + 0.191868i
\(535\) 7.30416e7 8.70476e7i 0.476990 0.568454i
\(536\) −9.21701e7 3.35472e7i −0.598543 0.217852i
\(537\) −1.11965e8 + 4.07518e7i −0.723032 + 0.263162i
\(538\) −5.75348e7 + 4.82774e7i −0.369474 + 0.310026i
\(539\) 3.05217e7 + 5.28651e7i 0.194913 + 0.337600i
\(540\) 3.44117e7 + 1.98676e7i 0.218537 + 0.126172i
\(541\) 5.33034e7 + 3.02298e8i 0.336638 + 1.90917i 0.410426 + 0.911894i \(0.365380\pi\)
−0.0737881 + 0.997274i \(0.523509\pi\)
\(542\) 6.46677e7 1.14027e7i 0.406153 0.0716158i
\(543\) 3.63289e7 6.29235e7i 0.226909 0.393019i
\(544\) 6.16419e7 3.55890e7i 0.382895 0.221064i
\(545\) 1.09288e7 + 1.30244e7i 0.0675122 + 0.0804579i
\(546\) −1.18816e7 3.26445e7i −0.0729959 0.200555i
\(547\) −5.48464e7 + 1.50689e8i −0.335109 + 0.920704i 0.651651 + 0.758519i \(0.274077\pi\)
−0.986760 + 0.162185i \(0.948146\pi\)
\(548\) −1.02083e7 8.56579e6i −0.0620315 0.0520506i
\(549\) 1.91441e7 1.08572e8i 0.115696 0.656144i
\(550\) 5.29865e7i 0.318477i
\(551\) −2.56758e8 + 2.53509e7i −1.53486 + 0.151544i
\(552\) 4.92474e7 0.292797
\(553\) −1.13678e8 2.00446e7i −0.672206 0.118528i
\(554\) −4.36345e7 + 5.20016e7i −0.256626 + 0.305835i
\(555\) −9.70163e7 3.53111e7i −0.567500 0.206553i
\(556\) −5.84119e7 + 2.12602e7i −0.339842 + 0.123692i
\(557\) 1.15252e8 9.67077e7i 0.666933 0.559623i −0.245223 0.969467i \(-0.578861\pi\)
0.912156 + 0.409844i \(0.134417\pi\)
\(558\) 4.74049e7 + 8.21077e7i 0.272848 + 0.472586i
\(559\) 1.16660e7 + 6.73536e6i 0.0667861 + 0.0385590i
\(560\) −2.00506e7 1.13713e8i −0.114173 0.647508i
\(561\) −6.84659e7 + 1.20724e7i −0.387780 + 0.0683761i
\(562\) 1.30811e8 2.26571e8i 0.736946 1.27643i
\(563\) 5.43976e7 3.14065e7i 0.304828 0.175992i −0.339782 0.940504i \(-0.610353\pi\)
0.644610 + 0.764512i \(0.277020\pi\)
\(564\) 1.34299e6 + 1.60051e6i 0.00748574 + 0.00892116i
\(565\) 9.62806e7 + 2.64529e8i 0.533819 + 1.46665i
\(566\) −2.45042e7 + 6.73247e7i −0.135142 + 0.371300i
\(567\) 1.17364e7 + 9.84805e6i 0.0643854 + 0.0540258i
\(568\) −1.89834e7 + 1.07660e8i −0.103593 + 0.587504i
\(569\) 2.49614e8i 1.35498i −0.735533 0.677489i \(-0.763068\pi\)
0.735533 0.677489i \(-0.236932\pi\)
\(570\) −9.86567e7 + 1.44294e8i −0.532724 + 0.779154i
\(571\) 3.25962e8 1.75089 0.875444 0.483319i \(-0.160569\pi\)
0.875444 + 0.483319i \(0.160569\pi\)
\(572\) 1.08867e7 + 1.91962e6i 0.0581714 + 0.0102572i
\(573\) −3.42875e7 + 4.08623e7i −0.182252 + 0.217200i
\(574\) −7.65454e7 2.78602e7i −0.404747 0.147316i
\(575\) −5.16044e7 + 1.87825e7i −0.271446 + 0.0987983i
\(576\) −5.78541e7 + 4.85453e7i −0.302738 + 0.254027i
\(577\) −7.41303e7 1.28397e8i −0.385894 0.668388i 0.605999 0.795466i \(-0.292774\pi\)
−0.991893 + 0.127077i \(0.959440\pi\)
\(578\) −6.96789e7 4.02292e7i −0.360843 0.208333i
\(579\) 1.57025e7 + 8.90534e7i 0.0808972 + 0.458791i
\(580\) 7.13340e7 1.25781e7i 0.365605 0.0644661i
\(581\) 7.50379e7 1.29970e8i 0.382607 0.662694i
\(582\) 8.97327e7 5.18072e7i 0.455178 0.262797i
\(583\) 9.31388e7 + 1.10998e8i 0.470029 + 0.560159i
\(584\) −1.04710e8 2.87689e8i −0.525716 1.44439i
\(585\) 2.91317e7 8.00388e7i 0.145512 0.399791i
\(586\) 9.16706e7 + 7.69208e7i 0.455551 + 0.382253i
\(587\) −7.30657e6 + 4.14376e7i −0.0361243 + 0.204871i −0.997528 0.0702707i \(-0.977614\pi\)
0.961404 + 0.275142i \(0.0887248\pi\)
\(588\) 2.11249e7i 0.103911i
\(589\) −1.73413e8 + 8.32300e7i −0.848664 + 0.407318i
\(590\) −4.11574e8 −2.00397
\(591\) 5.76632e7 + 1.01676e7i 0.279342 + 0.0492556i
\(592\) −1.07461e8 + 1.28068e8i −0.517950 + 0.617268i
\(593\) −2.08841e8 7.60120e7i −1.00150 0.364517i −0.211339 0.977413i \(-0.567782\pi\)
−0.790164 + 0.612896i \(0.790005\pi\)
\(594\) −1.10222e8 + 4.01175e7i −0.525906 + 0.191414i
\(595\) −1.08056e8 + 9.06697e7i −0.512977 + 0.430439i
\(596\) 9.44141e6 + 1.63530e7i 0.0445962 + 0.0772429i
\(597\) −1.19996e8 6.92800e7i −0.563956 0.325600i
\(598\) 1.24334e7 + 7.05133e7i 0.0581415 + 0.329737i
\(599\) 2.30322e8 4.06120e7i 1.07165 0.188962i 0.390132 0.920759i \(-0.372429\pi\)
0.681522 + 0.731797i \(0.261318\pi\)
\(600\) −3.89600e7 + 6.74808e7i −0.180371 + 0.312411i
\(601\) 2.29470e8 1.32485e8i 1.05707 0.610298i 0.132447 0.991190i \(-0.457716\pi\)
0.924619 + 0.380892i \(0.124383\pi\)
\(602\) −8.39411e6 1.00037e7i −0.0384756 0.0458534i
\(603\) 2.87321e7 + 7.89407e7i 0.131043 + 0.360039i
\(604\) −1.64911e7 + 4.53090e7i −0.0748409 + 0.205624i
\(605\) 1.63034e8 + 1.36802e8i 0.736228 + 0.617769i
\(606\) 4.89135e7 2.77402e8i 0.219791 1.24650i
\(607\) 9.68023e7i 0.432832i 0.976301 + 0.216416i \(0.0694368\pi\)
−0.976301 + 0.216416i \(0.930563\pi\)
\(608\) 4.92550e7 + 6.87003e7i 0.219149 + 0.305667i
\(609\) 1.07521e8 0.476037
\(610\) −3.86466e8 6.81445e7i −1.70264 0.300221i
\(611\) 8.29727e6 9.88830e6i 0.0363757 0.0433509i
\(612\) −2.56272e7 9.32754e6i −0.111801 0.0406923i
\(613\) −5.39563e7 + 1.96385e7i −0.234240 + 0.0852563i −0.456473 0.889737i \(-0.650888\pi\)
0.222233 + 0.974993i \(0.428665\pi\)
\(614\) −2.44286e8 + 2.04981e8i −1.05534 + 0.885539i
\(615\) 8.80963e7 + 1.52587e8i 0.378732 + 0.655984i
\(616\) 3.94384e7 + 2.27698e7i 0.168724 + 0.0974130i
\(617\) 3.39922e7 + 1.92780e8i 0.144719 + 0.820740i 0.967593 + 0.252516i \(0.0812581\pi\)
−0.822874 + 0.568224i \(0.807631\pi\)
\(618\) −7.19431e7 + 1.26855e7i −0.304806 + 0.0537455i
\(619\) 2.10644e8 3.64846e8i 0.888132 1.53829i 0.0460504 0.998939i \(-0.485337\pi\)
0.842081 0.539350i \(-0.181330\pi\)
\(620\) 4.67672e7 2.70011e7i 0.196231 0.113294i
\(621\) −7.81421e7 9.31262e7i −0.326295 0.388863i
\(622\) −8.46465e7 2.32564e8i −0.351753 0.966434i
\(623\) −5.51505e7 + 1.51525e8i −0.228079 + 0.626642i
\(624\) 9.32093e7 + 7.82119e7i 0.383624 + 0.321899i
\(625\) −5.25978e7 + 2.98297e8i −0.215441 + 1.22183i
\(626\) 1.44838e8i 0.590419i
\(627\) −2.22575e7 7.95096e7i −0.0902972 0.322565i
\(628\) −5.85195e6 −0.0236277
\(629\) 2.01129e8 + 3.54644e7i 0.808206 + 0.142508i
\(630\) −5.30760e7 + 6.32535e7i −0.212264 + 0.252967i
\(631\) 6.08078e7 + 2.21322e7i 0.242031 + 0.0880921i 0.460188 0.887822i \(-0.347782\pi\)
−0.218157 + 0.975914i \(0.570004\pi\)
\(632\) 3.17216e8 1.15457e8i 1.25662 0.457373i
\(633\) 1.40334e8 1.17754e8i 0.553289 0.464265i
\(634\) −2.15993e8 3.74110e8i −0.847562 1.46802i
\(635\) −2.72037e7 1.57061e7i −0.106245 0.0613404i
\(636\) −8.70743e6 4.93823e7i −0.0338469 0.191955i
\(637\) −1.28531e8 + 2.26636e7i −0.497269 + 0.0876819i
\(638\) −1.06911e8 + 1.85175e8i −0.411680 + 0.713051i
\(639\) 8.10860e7 4.68150e7i 0.310773 0.179425i
\(640\) 2.52878e8 + 3.01369e8i 0.964654 + 1.14963i
\(641\) 1.48661e6 + 4.08444e6i 0.00564448 + 0.0155081i 0.942483 0.334254i \(-0.108484\pi\)
−0.936838 + 0.349763i \(0.886262\pi\)
\(642\) 3.97025e7 1.09082e8i 0.150042 0.412237i
\(643\) −2.06364e8 1.73160e8i −0.776249 0.651351i 0.166052 0.986117i \(-0.446898\pi\)
−0.942301 + 0.334766i \(0.891343\pi\)
\(644\) 1.92871e6 1.09383e7i 0.00722122 0.0409536i
\(645\) 2.82463e7i 0.105265i
\(646\) 1.42629e8 3.14990e8i 0.529066 1.16842i
\(647\) 1.58555e8 0.585420 0.292710 0.956201i \(-0.405443\pi\)
0.292710 + 0.956201i \(0.405443\pi\)
\(648\) −4.41242e7 7.78029e6i −0.162163 0.0285937i
\(649\) 1.24964e8 1.48926e8i 0.457141 0.544799i
\(650\) −1.06456e8 3.87469e7i −0.387642 0.141090i
\(651\) 7.53259e7 2.74164e7i 0.273024 0.0993727i
\(652\) −3.28173e7 + 2.75370e7i −0.118402 + 0.0993512i
\(653\) 2.23459e8 + 3.87043e8i 0.802526 + 1.39001i 0.917949 + 0.396699i \(0.129844\pi\)
−0.115423 + 0.993316i \(0.536822\pi\)
\(654\) 1.50418e7 + 8.68436e6i 0.0537731 + 0.0310459i
\(655\) −9.18795e7 5.21075e8i −0.326960 1.85428i
\(656\) 2.80973e8 4.95432e7i 0.995300 0.175498i
\(657\) −1.31105e8 + 2.27080e8i −0.462299 + 0.800725i
\(658\) −1.08371e7 + 6.25682e6i −0.0380397 + 0.0219622i
\(659\) 1.71170e7 + 2.03993e7i 0.0598097 + 0.0712784i 0.795120 0.606452i \(-0.207408\pi\)
−0.735310 + 0.677731i \(0.762963\pi\)
\(660\) 7.92809e6 + 2.17822e7i 0.0275763 + 0.0757653i
\(661\) 1.13056e8 3.10618e8i 0.391460 1.07553i −0.574875 0.818241i \(-0.694949\pi\)
0.966335 0.257287i \(-0.0828285\pi\)
\(662\) 2.99708e8 + 2.51485e8i 1.03306 + 0.866838i
\(663\) 2.58115e7 1.46384e8i 0.0885670 0.502289i
\(664\) 4.38888e8i 1.49917i
\(665\) −1.19770e8 1.17129e8i −0.407270 0.398289i
\(666\) 1.19552e8 0.404702
\(667\) −2.18242e8 3.84820e7i −0.735464 0.129682i
\(668\) −3.81482e7 + 4.54633e7i −0.127981 + 0.152522i
\(669\) 1.56081e8 + 5.68087e7i 0.521279 + 0.189730i
\(670\) 2.80994e8 1.02273e8i 0.934270 0.340046i
\(671\) 1.41998e8 1.19151e8i 0.470019 0.394393i
\(672\) −1.76140e7 3.05083e7i −0.0580429 0.100533i
\(673\) −2.26634e8 1.30847e8i −0.743499 0.429259i 0.0798412 0.996808i \(-0.474559\pi\)
−0.823340 + 0.567548i \(0.807892\pi\)
\(674\) 2.48992e7 + 1.41210e8i 0.0813215 + 0.461197i
\(675\) 1.89424e8 3.34006e7i 0.615919 0.108603i
\(676\) 1.76062e7 3.04948e7i 0.0569935 0.0987156i
\(677\) −3.65622e8 + 2.11092e8i −1.17833 + 0.680308i −0.955627 0.294579i \(-0.904821\pi\)
−0.222701 + 0.974887i \(0.571487\pi\)
\(678\) 1.84850e8 + 2.20295e8i 0.593102 + 0.706831i
\(679\) 3.39635e7 + 9.33140e7i 0.108493 + 0.298083i
\(680\) 1.41088e8 3.87636e8i 0.448707 1.23281i
\(681\) −2.48881e8 2.08836e8i −0.788042 0.661246i
\(682\) −2.76814e7 + 1.56989e8i −0.0872640 + 0.494899i
\(683\) 8.88246e7i 0.278786i 0.990237 + 0.139393i \(0.0445152\pi\)
−0.990237 + 0.139393i \(0.955485\pi\)
\(684\) 8.03352e6 3.13767e7i 0.0251037 0.0980480i
\(685\) −1.72637e8 −0.537108
\(686\) 2.80990e8 + 4.95461e7i 0.870399 + 0.153475i
\(687\) 6.98108e7 8.31973e7i 0.215304 0.256590i
\(688\) 4.29807e7 + 1.56437e7i 0.131980 + 0.0480368i
\(689\) −2.91118e8 + 1.05958e8i −0.890043 + 0.323949i
\(690\) −1.15012e8 + 9.65068e7i −0.350104 + 0.293772i
\(691\) −3.35427e7 5.80977e7i −0.101663 0.176086i 0.810707 0.585452i \(-0.199083\pi\)
−0.912370 + 0.409366i \(0.865750\pi\)
\(692\) 1.30555e7 + 7.53758e6i 0.0393980 + 0.0227465i
\(693\) −6.77283e6 3.84106e7i −0.0203503 0.115412i
\(694\) −4.79106e8 + 8.44793e7i −1.43335 + 0.252739i
\(695\) −4.02642e8 + 6.97396e8i −1.19940 + 2.07742i
\(696\) −2.72312e8 + 1.57219e8i −0.807679 + 0.466314i
\(697\) −2.24036e8 2.66996e8i −0.661638 0.788509i
\(698\) −1.54475e8 4.24417e8i −0.454248 1.24803i
\(699\) −1.17618e8 + 3.23153e8i −0.344384 + 0.946188i
\(700\) 1.34622e7 + 1.12962e7i 0.0392485 + 0.0329334i
\(701\) −4.90063e7 + 2.77929e8i −0.142265 + 0.806825i 0.827257 + 0.561823i \(0.189900\pi\)
−0.969523 + 0.245002i \(0.921211\pi\)
\(702\) 2.50785e8i 0.724921i
\(703\) −1.84445e7 + 2.41848e8i −0.0530885 + 0.696108i
\(704\) −1.26983e8 −0.363937
\(705\) 2.66557e7 + 4.70012e6i 0.0760716 + 0.0134135i
\(706\) 8.56220e7 1.02040e8i 0.243316 0.289973i
\(707\) 2.53680e8 + 9.23318e7i 0.717839 + 0.261272i
\(708\) −6.32207e7 + 2.30104e7i −0.178139 + 0.0648373i
\(709\) −2.87838e8 + 2.41525e8i −0.807624 + 0.677677i −0.950039 0.312130i \(-0.898958\pi\)
0.142415 + 0.989807i \(0.454513\pi\)
\(710\) −1.66641e8 2.88630e8i −0.465592 0.806430i
\(711\) −2.50387e8 1.44561e8i −0.696630 0.402200i
\(712\) −8.18863e7 4.64400e8i −0.226867 1.28663i
\(713\) −1.62707e8 + 2.86896e7i −0.448886 + 0.0791508i
\(714\) −7.20491e7 + 1.24793e8i −0.197940 + 0.342842i
\(715\) 1.24025e8 7.16060e7i 0.339306 0.195899i
\(716\) −5.05149e7 6.02013e7i −0.137620 0.164009i
\(717\) −8.49742e7 2.33465e8i −0.230531 0.633379i
\(718\) −1.78908e8 + 4.91545e8i −0.483344 + 1.32798i
\(719\) 1.01303e8 + 8.50032e7i 0.272543 + 0.228691i 0.768807 0.639481i \(-0.220851\pi\)
−0.496264 + 0.868172i \(0.665295\pi\)
\(720\) 5.02206e7 2.84815e8i 0.134550 0.763072i
\(721\) 7.00130e7i 0.186798i
\(722\) 3.88924e8 + 1.31813e8i 1.03336 + 0.350225i
\(723\) −2.51296e8 −0.664922
\(724\) 4.71944e7 + 8.32165e6i 0.124358 + 0.0219277i
\(725\) 2.25383e8 2.68601e8i 0.591435 0.704845i
\(726\) 2.04303e8 + 7.43601e7i 0.533905 + 0.194326i
\(727\) −2.76240e8 + 1.00543e8i −0.718925 + 0.261667i −0.675469 0.737388i \(-0.736059\pi\)
−0.0434558 + 0.999055i \(0.513837\pi\)
\(728\) −7.45869e7 + 6.25858e7i −0.193316 + 0.162212i
\(729\) 1.58218e8 + 2.74041e8i 0.408388 + 0.707349i
\(730\) 8.08305e8 + 4.66675e8i 2.07781 + 1.19963i
\(731\) −9.70276e6 5.50271e7i −0.0248395 0.140872i
\(732\) −6.31739e7 + 1.11393e7i −0.161066 + 0.0284003i
\(733\) 3.11946e8 5.40307e8i 0.792078 1.37192i −0.132599 0.991170i \(-0.542332\pi\)
0.924678 0.380750i \(-0.124334\pi\)
\(734\) 2.24912e8 1.29853e8i 0.568755 0.328371i
\(735\) −1.75912e8 2.09644e8i −0.443031 0.527984i
\(736\) 2.48333e7 + 6.82288e7i 0.0622874 + 0.171133i
\(737\) −4.83094e7 + 1.32729e8i −0.120678 + 0.331561i
\(738\) −1.56294e8 1.31146e8i −0.388841 0.326276i
\(739\) 3.31425e7 1.87960e8i 0.0821206 0.465729i −0.915820 0.401588i \(-0.868458\pi\)
0.997941 0.0641406i \(-0.0204306\pi\)
\(740\) 6.80951e7i 0.168043i
\(741\) 1.76020e8 + 1.34241e7i 0.432621 + 0.0329938i
\(742\) 3.00330e8 0.735169
\(743\) 4.82741e8 + 8.51203e7i 1.17692 + 0.207523i 0.727699 0.685896i \(-0.240590\pi\)
0.449223 + 0.893419i \(0.351701\pi\)
\(744\) −1.50685e8 + 1.79579e8i −0.365890 + 0.436050i
\(745\) 2.29872e8 + 8.36666e7i 0.555926 + 0.202341i
\(746\) 4.68236e8 1.70424e8i 1.12784 0.410501i
\(747\) 2.87951e8 2.41620e8i 0.690808 0.579656i
\(748\) −2.29271e7 3.97110e7i −0.0547829 0.0948868i
\(749\) 9.63470e7 + 5.56260e7i 0.229294 + 0.132383i
\(750\) 2.78951e7 + 1.58201e8i 0.0661217 + 0.374995i
\(751\) 6.65339e7 1.17317e7i 0.157081 0.0276976i −0.0945546 0.995520i \(-0.530143\pi\)
0.251636 + 0.967822i \(0.419032\pi\)
\(752\) 2.19146e7 3.79573e7i 0.0515325 0.0892569i
\(753\) −8.68140e7 + 5.01221e7i −0.203332 + 0.117394i
\(754\) −2.93859e8 3.50208e8i −0.685528 0.816980i
\(755\) 2.13640e8 + 5.86972e8i 0.496412 + 1.36388i
\(756\) −1.33055e7 + 3.65566e7i −0.0307940 + 0.0846059i
\(757\) −5.93827e8 4.98280e8i −1.36890 1.14865i −0.973119 0.230301i \(-0.926029\pi\)
−0.395783 0.918344i \(-0.629527\pi\)
\(758\) −2.48153e7 + 1.40735e8i −0.0569786 + 0.323142i
\(759\) 7.09184e7i 0.162194i
\(760\) 4.74602e8 + 1.21515e8i 1.08116 + 0.276814i
\(761\) −3.95662e8 −0.897782 −0.448891 0.893587i \(-0.648181\pi\)
−0.448891 + 0.893587i \(0.648181\pi\)
\(762\) −3.16019e7 5.57226e6i −0.0714246 0.0125941i