Properties

Label 21.7.f.a.19.3
Level $21$
Weight $7$
Character 21.19
Analytic conductor $4.831$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 212 x^{6} + 473 x^{5} + 39800 x^{4} + 36821 x^{3} + 985651 x^{2} - 601290 x + 21068100\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{2}\cdot 3\cdot 7 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.3
Root \(-2.75320 + 4.76869i\) of defining polynomial
Character \(\chi\) \(=\) 21.19
Dual form 21.7.f.a.10.3

$q$-expansion

\(f(q)\) \(=\) \(q+(2.25320 - 3.90266i) q^{2} +(-13.5000 + 7.79423i) q^{3} +(21.8461 + 37.8386i) q^{4} +(53.9244 + 31.1333i) q^{5} +70.2479i q^{6} +(218.833 + 264.124i) q^{7} +485.305 q^{8} +(121.500 - 210.444i) q^{9} +O(q^{10})\) \(q+(2.25320 - 3.90266i) q^{2} +(-13.5000 + 7.79423i) q^{3} +(21.8461 + 37.8386i) q^{4} +(53.9244 + 31.1333i) q^{5} +70.2479i q^{6} +(218.833 + 264.124i) q^{7} +485.305 q^{8} +(121.500 - 210.444i) q^{9} +(243.005 - 140.299i) q^{10} +(-9.71675 - 16.8299i) q^{11} +(-589.846 - 340.548i) q^{12} +1642.65i q^{13} +(1523.86 - 258.906i) q^{14} -970.639 q^{15} +(-304.661 + 527.689i) q^{16} +(-186.054 + 107.418i) q^{17} +(-547.529 - 948.347i) q^{18} +(-8237.53 - 4755.94i) q^{19} +2720.57i q^{20} +(-5012.88 - 1860.04i) q^{21} -87.5753 q^{22} +(7223.90 - 12512.2i) q^{23} +(-6551.62 + 3782.58i) q^{24} +(-5873.94 - 10174.0i) q^{25} +(6410.70 + 3701.22i) q^{26} +3788.00i q^{27} +(-5213.43 + 14050.4i) q^{28} +43016.4 q^{29} +(-2187.05 + 3788.08i) q^{30} +(-7799.62 + 4503.11i) q^{31} +(16902.7 + 29276.3i) q^{32} +(262.352 + 151.469i) q^{33} +968.141i q^{34} +(3577.38 + 21055.7i) q^{35} +10617.2 q^{36} +(16564.6 - 28690.7i) q^{37} +(-37121.7 + 21432.2i) q^{38} +(-12803.2 - 22175.8i) q^{39} +(26169.8 + 15109.1i) q^{40} -73712.4i q^{41} +(-18554.1 + 15372.5i) q^{42} +4761.19 q^{43} +(424.547 - 735.337i) q^{44} +(13103.6 - 7565.38i) q^{45} +(-32553.9 - 56384.9i) q^{46} +(-63760.5 - 36812.2i) q^{47} -9498.40i q^{48} +(-21873.6 + 115598. i) q^{49} -52940.7 q^{50} +(1674.48 - 2900.29i) q^{51} +(-62155.6 + 35885.5i) q^{52} +(-119317. - 206663. i) q^{53} +(14783.3 + 8535.13i) q^{54} -1210.06i q^{55} +(106201. + 128181. i) q^{56} +148275. q^{57} +(96924.8 - 167879. i) q^{58} +(-282811. + 163281. i) q^{59} +(-21204.7 - 36727.6i) q^{60} +(350517. + 202371. i) q^{61} +40585.7i q^{62} +(82171.4 - 13961.0i) q^{63} +113344. q^{64} +(-51141.0 + 88578.8i) q^{65} +(1182.27 - 682.582i) q^{66} +(-109982. - 190494. i) q^{67} +(-8129.12 - 4693.35i) q^{68} +225219. i q^{69} +(90233.8 + 33481.4i) q^{70} +350228. q^{71} +(58964.6 - 102130. i) q^{72} +(-174606. + 100809. i) q^{73} +(-74646.7 - 129292. i) q^{74} +(158596. + 91565.7i) q^{75} -415596. i q^{76} +(2318.83 - 6249.36i) q^{77} -115393. q^{78} +(-197745. + 342505. i) q^{79} +(-32857.4 + 18970.2i) q^{80} +(-29524.5 - 51137.9i) q^{81} +(-287675. - 166089. i) q^{82} +13229.0i q^{83} +(-39130.8 - 230315. i) q^{84} -13377.1 q^{85} +(10727.9 - 18581.3i) q^{86} +(-580722. + 335280. i) q^{87} +(-4715.59 - 8167.65i) q^{88} +(-199460. - 115158. i) q^{89} -68185.4i q^{90} +(-433862. + 359465. i) q^{91} +631258. q^{92} +(70196.6 - 121584. i) q^{93} +(-287331. + 165891. i) q^{94} +(-296136. - 512922. i) q^{95} +(-456373. - 263487. i) q^{96} -662517. i q^{97} +(401853. + 345831. i) q^{98} -4722.34 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} - 108q^{3} - 173q^{4} - 294q^{5} - 656q^{7} + 3326q^{8} + 972q^{9} + O(q^{10}) \) \( 8q - 5q^{2} - 108q^{3} - 173q^{4} - 294q^{5} - 656q^{7} + 3326q^{8} + 972q^{9} - 3411q^{10} - 314q^{11} + 4671q^{12} - 5360q^{14} + 5292q^{15} - 12721q^{16} - 5532q^{17} + 1215q^{18} - 18234q^{19} + 9342q^{21} + 86106q^{22} + 3928q^{23} - 44901q^{24} - 17038q^{25} + 12366q^{26} + 85037q^{28} - 8300q^{29} + 30699q^{30} - 89508q^{31} - 186207q^{32} + 8478q^{33} - 25860q^{35} - 84078q^{36} + 64706q^{37} - 77136q^{38} + 29106q^{39} + 221823q^{40} + 173583q^{42} + 45740q^{43} + 92529q^{44} - 71442q^{45} - 111504q^{46} + 483276q^{47} - 310684q^{49} + 967216q^{50} + 49788q^{51} - 1673988q^{52} - 540974q^{53} - 32805q^{54} - 241885q^{56} + 328212q^{57} + 539799q^{58} - 181770q^{59} - 146367q^{60} + 418224q^{61} - 92826q^{63} + 2378626q^{64} - 414204q^{65} - 1162431q^{66} - 1158902q^{67} - 821250q^{68} + 1087917q^{70} + 1442344q^{71} + 404109q^{72} - 378666q^{73} - 432940q^{74} + 460026q^{75} + 1065994q^{77} - 222588q^{78} + 611452q^{79} - 2094945q^{80} - 236196q^{81} - 1561266q^{82} - 1579716q^{84} - 275112q^{85} + 816224q^{86} + 112050q^{87} - 366441q^{88} - 989196q^{89} + 304446q^{91} + 678720q^{92} + 805572q^{93} - 716148q^{94} - 591792q^{95} + 5027589q^{96} + 3509629q^{98} - 152604q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.25320 3.90266i 0.281650 0.487833i −0.690141 0.723675i \(-0.742451\pi\)
0.971791 + 0.235842i \(0.0757848\pi\)
\(3\) −13.5000 + 7.79423i −0.500000 + 0.288675i
\(4\) 21.8461 + 37.8386i 0.341346 + 0.591229i
\(5\) 53.9244 + 31.1333i 0.431395 + 0.249066i 0.699941 0.714201i \(-0.253210\pi\)
−0.268546 + 0.963267i \(0.586543\pi\)
\(6\) 70.2479i 0.325222i
\(7\) 218.833 + 264.124i 0.637996 + 0.770040i
\(8\) 485.305 0.947862
\(9\) 121.500 210.444i 0.166667 0.288675i
\(10\) 243.005 140.299i 0.243005 0.140299i
\(11\) −9.71675 16.8299i −0.00730034 0.0126446i 0.862352 0.506309i \(-0.168990\pi\)
−0.869652 + 0.493664i \(0.835657\pi\)
\(12\) −589.846 340.548i −0.341346 0.197076i
\(13\) 1642.65i 0.747678i 0.927494 + 0.373839i \(0.121959\pi\)
−0.927494 + 0.373839i \(0.878041\pi\)
\(14\) 1523.86 258.906i 0.555343 0.0943533i
\(15\) −970.639 −0.287597
\(16\) −304.661 + 527.689i −0.0743802 + 0.128830i
\(17\) −186.054 + 107.418i −0.0378697 + 0.0218641i −0.518815 0.854886i \(-0.673627\pi\)
0.480946 + 0.876750i \(0.340293\pi\)
\(18\) −547.529 948.347i −0.0938835 0.162611i
\(19\) −8237.53 4755.94i −1.20098 0.693387i −0.240208 0.970722i \(-0.577215\pi\)
−0.960773 + 0.277335i \(0.910549\pi\)
\(20\) 2720.57i 0.340071i
\(21\) −5012.88 1860.04i −0.541289 0.200846i
\(22\) −87.5753 −0.00822458
\(23\) 7223.90 12512.2i 0.593729 1.02837i −0.399996 0.916517i \(-0.630988\pi\)
0.993725 0.111852i \(-0.0356783\pi\)
\(24\) −6551.62 + 3782.58i −0.473931 + 0.273624i
\(25\) −5873.94 10174.0i −0.375932 0.651134i
\(26\) 6410.70 + 3701.22i 0.364742 + 0.210584i
\(27\) 3788.00i 0.192450i
\(28\) −5213.43 + 14050.4i −0.237492 + 0.640051i
\(29\) 43016.4 1.76376 0.881882 0.471471i \(-0.156277\pi\)
0.881882 + 0.471471i \(0.156277\pi\)
\(30\) −2187.05 + 3788.08i −0.0810017 + 0.140299i
\(31\) −7799.62 + 4503.11i −0.261811 + 0.151157i −0.625161 0.780496i \(-0.714967\pi\)
0.363349 + 0.931653i \(0.381633\pi\)
\(32\) 16902.7 + 29276.3i 0.515829 + 0.893443i
\(33\) 262.352 + 151.469i 0.00730034 + 0.00421485i
\(34\) 968.141i 0.0246321i
\(35\) 3577.38 + 21055.7i 0.0834375 + 0.491094i
\(36\) 10617.2 0.227564
\(37\) 16564.6 28690.7i 0.327020 0.566416i −0.654899 0.755717i \(-0.727289\pi\)
0.981919 + 0.189301i \(0.0606221\pi\)
\(38\) −37121.7 + 21432.2i −0.676514 + 0.390585i
\(39\) −12803.2 22175.8i −0.215836 0.373839i
\(40\) 26169.8 + 15109.1i 0.408903 + 0.236080i
\(41\) 73712.4i 1.06952i −0.845004 0.534760i \(-0.820402\pi\)
0.845004 0.534760i \(-0.179598\pi\)
\(42\) −18554.1 + 15372.5i −0.250434 + 0.207490i
\(43\) 4761.19 0.0598839 0.0299420 0.999552i \(-0.490468\pi\)
0.0299420 + 0.999552i \(0.490468\pi\)
\(44\) 424.547 735.337i 0.00498388 0.00863234i
\(45\) 13103.6 7565.38i 0.143798 0.0830220i
\(46\) −32553.9 56384.9i −0.334448 0.579281i
\(47\) −63760.5 36812.2i −0.614127 0.354567i 0.160452 0.987044i \(-0.448705\pi\)
−0.774579 + 0.632477i \(0.782038\pi\)
\(48\) 9498.40i 0.0858869i
\(49\) −21873.6 + 115598.i −0.185922 + 0.982564i
\(50\) −52940.7 −0.423526
\(51\) 1674.48 2900.29i 0.0126232 0.0218641i
\(52\) −62155.6 + 35885.5i −0.442049 + 0.255217i
\(53\) −119317. 206663.i −0.801447 1.38815i −0.918664 0.395041i \(-0.870730\pi\)
0.117216 0.993106i \(-0.462603\pi\)
\(54\) 14783.3 + 8535.13i 0.0938835 + 0.0542037i
\(55\) 1210.06i 0.00727307i
\(56\) 106201. + 128181.i 0.604732 + 0.729891i
\(57\) 148275. 0.800654
\(58\) 96924.8 167879.i 0.496765 0.860422i
\(59\) −282811. + 163281.i −1.37702 + 0.795023i −0.991800 0.127801i \(-0.959208\pi\)
−0.385221 + 0.922824i \(0.625875\pi\)
\(60\) −21204.7 36727.6i −0.0981700 0.170035i
\(61\) 350517. + 202371.i 1.54426 + 0.891578i 0.998563 + 0.0535954i \(0.0170681\pi\)
0.545696 + 0.837983i \(0.316265\pi\)
\(62\) 40585.7i 0.170294i
\(63\) 82171.4 13961.0i 0.328624 0.0558336i
\(64\) 113344. 0.432374
\(65\) −51141.0 + 88578.8i −0.186221 + 0.322545i
\(66\) 1182.27 682.582i 0.00411229 0.00237423i
\(67\) −109982. 190494.i −0.365676 0.633369i 0.623209 0.782056i \(-0.285829\pi\)
−0.988884 + 0.148687i \(0.952495\pi\)
\(68\) −8129.12 4693.35i −0.0258533 0.0149264i
\(69\) 225219.i 0.685579i
\(70\) 90233.8 + 33481.4i 0.263072 + 0.0976134i
\(71\) 350228. 0.978535 0.489267 0.872134i \(-0.337264\pi\)
0.489267 + 0.872134i \(0.337264\pi\)
\(72\) 58964.6 102130.i 0.157977 0.273624i
\(73\) −174606. + 100809.i −0.448838 + 0.259137i −0.707339 0.706874i \(-0.750105\pi\)
0.258501 + 0.966011i \(0.416771\pi\)
\(74\) −74646.7 129292.i −0.184211 0.319063i
\(75\) 158596. + 91565.7i 0.375932 + 0.217045i
\(76\) 415596.i 0.946739i
\(77\) 2318.83 6249.36i 0.00507923 0.0136887i
\(78\) −115393. −0.243161
\(79\) −197745. + 342505.i −0.401074 + 0.694681i −0.993856 0.110682i \(-0.964696\pi\)
0.592782 + 0.805363i \(0.298030\pi\)
\(80\) −32857.4 + 18970.2i −0.0641745 + 0.0370512i
\(81\) −29524.5 51137.9i −0.0555556 0.0962250i
\(82\) −287675. 166089.i −0.521747 0.301231i
\(83\) 13229.0i 0.0231362i 0.999933 + 0.0115681i \(0.00368232\pi\)
−0.999933 + 0.0115681i \(0.996318\pi\)
\(84\) −39130.8 230315.i −0.0660208 0.388584i
\(85\) −13377.1 −0.0217824
\(86\) 10727.9 18581.3i 0.0168663 0.0292134i
\(87\) −580722. + 335280.i −0.881882 + 0.509155i
\(88\) −4715.59 8167.65i −0.00691972 0.0119853i
\(89\) −199460. 115158.i −0.282934 0.163352i 0.351817 0.936069i \(-0.385564\pi\)
−0.634751 + 0.772717i \(0.718897\pi\)
\(90\) 68185.4i 0.0935328i
\(91\) −433862. + 359465.i −0.575742 + 0.477015i
\(92\) 631258. 0.810668
\(93\) 70196.6 121584.i 0.0872705 0.151157i
\(94\) −287331. + 165891.i −0.345939 + 0.199728i
\(95\) −296136. 512922.i −0.345398 0.598247i
\(96\) −456373. 263487.i −0.515829 0.297814i
\(97\) 662517.i 0.725909i −0.931807 0.362954i \(-0.881768\pi\)
0.931807 0.362954i \(-0.118232\pi\)
\(98\) 401853. + 345831.i 0.426962 + 0.367439i
\(99\) −4722.34 −0.00486689
\(100\) 256646. 444524.i 0.256646 0.444524i
\(101\) 1.62606e6 938803.i 1.57823 0.911193i 0.583127 0.812381i \(-0.301829\pi\)
0.995106 0.0988126i \(-0.0315044\pi\)
\(102\) −7545.91 13069.9i −0.00711068 0.0123161i
\(103\) 782887. + 452000.i 0.716452 + 0.413644i 0.813446 0.581641i \(-0.197589\pi\)
−0.0969931 + 0.995285i \(0.530922\pi\)
\(104\) 797186.i 0.708696i
\(105\) −212407. 256369.i −0.183485 0.221461i
\(106\) −1.07538e6 −0.902912
\(107\) −423106. + 732842.i −0.345381 + 0.598217i −0.985423 0.170123i \(-0.945584\pi\)
0.640042 + 0.768340i \(0.278917\pi\)
\(108\) −143333. + 82753.1i −0.113782 + 0.0656921i
\(109\) 847674. + 1.46821e6i 0.654560 + 1.13373i 0.982004 + 0.188861i \(0.0604794\pi\)
−0.327444 + 0.944871i \(0.606187\pi\)
\(110\) −4722.44 2726.50i −0.00354804 0.00204846i
\(111\) 516432.i 0.377611i
\(112\) −206045. + 35007.3i −0.146659 + 0.0249175i
\(113\) −152753. −0.105866 −0.0529328 0.998598i \(-0.516857\pi\)
−0.0529328 + 0.998598i \(0.516857\pi\)
\(114\) 334095. 578669.i 0.225505 0.390585i
\(115\) 779089. 449807.i 0.512264 0.295756i
\(116\) 939743. + 1.62768e6i 0.602054 + 1.04279i
\(117\) 345686. + 199582.i 0.215836 + 0.124613i
\(118\) 1.47162e6i 0.895675i
\(119\) −69086.3 25634.6i −0.0409969 0.0152120i
\(120\) −471056. −0.272602
\(121\) 885592. 1.53389e6i 0.499893 0.865841i
\(122\) 1.57957e6 911968.i 0.869883 0.502227i
\(123\) 574531. + 995117.i 0.308744 + 0.534760i
\(124\) −340783. 196751.i −0.178737 0.103194i
\(125\) 1.70441e6i 0.872660i
\(126\) 130664. 352145.i 0.0653196 0.176039i
\(127\) −2.82114e6 −1.37725 −0.688627 0.725116i \(-0.741786\pi\)
−0.688627 + 0.725116i \(0.741786\pi\)
\(128\) −826385. + 1.43134e6i −0.394051 + 0.682517i
\(129\) −64276.1 + 37109.8i −0.0299420 + 0.0172870i
\(130\) 230462. + 399172.i 0.104899 + 0.181690i
\(131\) −3.86131e6 2.22933e6i −1.71759 0.991654i −0.923262 0.384171i \(-0.874487\pi\)
−0.794333 0.607482i \(-0.792180\pi\)
\(132\) 13236.1i 0.00575489i
\(133\) −546484. 3.21648e6i −0.232286 1.36718i
\(134\) −991245. −0.411971
\(135\) −117933. + 204265.i −0.0479328 + 0.0830220i
\(136\) −90292.9 + 52130.6i −0.0358952 + 0.0207241i
\(137\) −649623. 1.12518e6i −0.252639 0.437583i 0.711613 0.702572i \(-0.247965\pi\)
−0.964252 + 0.264989i \(0.914632\pi\)
\(138\) 878954. + 507464.i 0.334448 + 0.193094i
\(139\) 119566.i 0.0445207i −0.999752 0.0222603i \(-0.992914\pi\)
0.999752 0.0222603i \(-0.00708627\pi\)
\(140\) −718566. + 595349.i −0.261868 + 0.216964i
\(141\) 1.14769e6 0.409418
\(142\) 789136. 1.36682e6i 0.275605 0.477361i
\(143\) 27645.6 15961.2i 0.00945406 0.00545830i
\(144\) 74032.7 + 128228.i 0.0247934 + 0.0429434i
\(145\) 2.31963e6 + 1.33924e6i 0.760879 + 0.439293i
\(146\) 908570.i 0.291944i
\(147\) −605702. 1.73106e6i −0.190681 0.544953i
\(148\) 1.44749e6 0.446509
\(149\) −3.12914e6 + 5.41983e6i −0.945946 + 1.63843i −0.192101 + 0.981375i \(0.561530\pi\)
−0.753845 + 0.657052i \(0.771803\pi\)
\(150\) 714700. 412632.i 0.211763 0.122261i
\(151\) 753969. + 1.30591e6i 0.218989 + 0.379300i 0.954499 0.298213i \(-0.0963907\pi\)
−0.735510 + 0.677514i \(0.763057\pi\)
\(152\) −3.99772e6 2.30808e6i −1.13836 0.657235i
\(153\) 52205.3i 0.0145761i
\(154\) −19164.3 23130.7i −0.00524725 0.00633325i
\(155\) −560786. −0.150592
\(156\) 559400. 968910.i 0.147350 0.255217i
\(157\) 2.14761e6 1.23992e6i 0.554954 0.320403i −0.196164 0.980571i \(-0.562848\pi\)
0.751118 + 0.660169i \(0.229515\pi\)
\(158\) 891121. + 1.54347e6i 0.225925 + 0.391314i
\(159\) 3.22156e6 + 1.85997e6i 0.801447 + 0.462716i
\(160\) 2.10494e6i 0.513902i
\(161\) 4.88558e6 830066.i 1.17068 0.198900i
\(162\) −266099. −0.0625890
\(163\) −3.29510e6 + 5.70727e6i −0.760861 + 1.31785i 0.181546 + 0.983382i \(0.441890\pi\)
−0.942407 + 0.334468i \(0.891444\pi\)
\(164\) 2.78918e6 1.61033e6i 0.632331 0.365076i
\(165\) 9431.46 + 16335.8i 0.00209955 + 0.00363653i
\(166\) 51628.2 + 29807.5i 0.0112866 + 0.00651631i
\(167\) 5.45006e6i 1.17018i −0.810969 0.585089i \(-0.801059\pi\)
0.810969 0.585089i \(-0.198941\pi\)
\(168\) −2.43278e6 902686.i −0.513068 0.190375i
\(169\) 2.12851e6 0.440978
\(170\) −30141.4 + 52206.4i −0.00613502 + 0.0106262i
\(171\) −2.00172e6 + 1.15569e6i −0.400327 + 0.231129i
\(172\) 104014. + 180157.i 0.0204411 + 0.0354051i
\(173\) 2.39148e6 + 1.38072e6i 0.461879 + 0.266666i 0.712834 0.701333i \(-0.247411\pi\)
−0.250955 + 0.967999i \(0.580745\pi\)
\(174\) 3.02182e6i 0.573615i
\(175\) 1.40177e6 3.77784e6i 0.261556 0.704903i
\(176\) 11841.3 0.00217200
\(177\) 2.54530e6 4.40859e6i 0.459007 0.795023i
\(178\) −898847. + 518949.i −0.159377 + 0.0920164i
\(179\) 743863. + 1.28841e6i 0.129698 + 0.224644i 0.923560 0.383455i \(-0.125266\pi\)
−0.793861 + 0.608099i \(0.791932\pi\)
\(180\) 572527. + 330549.i 0.0981700 + 0.0566785i
\(181\) 6.01679e6i 1.01468i 0.861746 + 0.507340i \(0.169371\pi\)
−0.861746 + 0.507340i \(0.830629\pi\)
\(182\) 425291. + 2.50317e6i 0.0705459 + 0.415217i
\(183\) −6.30931e6 −1.02951
\(184\) 3.50580e6 6.07222e6i 0.562773 0.974752i
\(185\) 1.78647e6 1.03142e6i 0.282150 0.162899i
\(186\) −316334. 547907.i −0.0491595 0.0851468i
\(187\) 3615.68 + 2087.51i 0.000552923 + 0.000319230i
\(188\) 3.21682e6i 0.484120i
\(189\) −1.00050e6 + 828937.i −0.148194 + 0.122782i
\(190\) −2.66902e6 −0.389126
\(191\) −3.20172e6 + 5.54554e6i −0.459498 + 0.795874i −0.998934 0.0461527i \(-0.985304\pi\)
0.539437 + 0.842026i \(0.318637\pi\)
\(192\) −1.53015e6 + 883431.i −0.216187 + 0.124816i
\(193\) −4.92592e6 8.53194e6i −0.685197 1.18680i −0.973375 0.229219i \(-0.926383\pi\)
0.288178 0.957577i \(-0.406951\pi\)
\(194\) −2.58558e6 1.49279e6i −0.354122 0.204453i
\(195\) 1.59442e6i 0.215030i
\(196\) −4.85191e6 + 1.69770e6i −0.644384 + 0.225472i
\(197\) 2.38883e6 0.312454 0.156227 0.987721i \(-0.450067\pi\)
0.156227 + 0.987721i \(0.450067\pi\)
\(198\) −10640.4 + 18429.7i −0.00137076 + 0.00237423i
\(199\) −1.36103e7 + 7.85789e6i −1.72706 + 0.997118i −0.825594 + 0.564264i \(0.809160\pi\)
−0.901464 + 0.432854i \(0.857507\pi\)
\(200\) −2.85066e6 4.93748e6i −0.356332 0.617185i
\(201\) 2.96951e6 + 1.71445e6i 0.365676 + 0.211123i
\(202\) 8.46126e6i 1.02655i
\(203\) 9.41339e6 + 1.13617e7i 1.12527 + 1.35817i
\(204\) 146324. 0.0172356
\(205\) 2.29491e6 3.97490e6i 0.266381 0.461386i
\(206\) 3.52801e6 2.03690e6i 0.403578 0.233006i
\(207\) −1.75541e6 3.04046e6i −0.197910 0.342790i
\(208\) −866808. 500452.i −0.0963236 0.0556125i
\(209\) 184849.i 0.0202478i
\(210\) −1.47912e6 + 251304.i −0.159715 + 0.0271357i
\(211\) 1.46740e6 0.156207 0.0781034 0.996945i \(-0.475114\pi\)
0.0781034 + 0.996945i \(0.475114\pi\)
\(212\) 5.21324e6 9.02959e6i 0.547142 0.947677i
\(213\) −4.72808e6 + 2.72976e6i −0.489267 + 0.282479i
\(214\) 1.90669e6 + 3.30248e6i 0.194553 + 0.336976i
\(215\) 256744. + 148231.i 0.0258336 + 0.0149151i
\(216\) 1.83833e6i 0.182416i
\(217\) −2.89619e6 1.07464e6i −0.283431 0.105168i
\(218\) 7.63993e6 0.737429
\(219\) 1.57145e6 2.72183e6i 0.149613 0.259137i
\(220\) 45786.9 26435.1i 0.00430005 0.00248263i
\(221\) −176450. 305621.i −0.0163473 0.0283143i
\(222\) 2.01546e6 + 1.16363e6i 0.184211 + 0.106354i
\(223\) 3.63341e6i 0.327642i 0.986490 + 0.163821i \(0.0523820\pi\)
−0.986490 + 0.163821i \(0.947618\pi\)
\(224\) −4.03371e6 + 1.08710e7i −0.358889 + 0.967222i
\(225\) −2.85474e6 −0.250621
\(226\) −344184. + 596144.i −0.0298171 + 0.0516447i
\(227\) 5.14121e6 2.96828e6i 0.439529 0.253762i −0.263869 0.964559i \(-0.584999\pi\)
0.703398 + 0.710796i \(0.251665\pi\)
\(228\) 3.23925e6 + 5.61054e6i 0.273300 + 0.473370i
\(229\) 1.05964e7 + 6.11784e6i 0.882373 + 0.509438i 0.871440 0.490502i \(-0.163187\pi\)
0.0109329 + 0.999940i \(0.496520\pi\)
\(230\) 4.05403e6i 0.333199i
\(231\) 17404.6 + 102440.i 0.00141198 + 0.00831061i
\(232\) 2.08761e7 1.67180
\(233\) −6.06046e6 + 1.04970e7i −0.479113 + 0.829848i −0.999713 0.0239524i \(-0.992375\pi\)
0.520600 + 0.853801i \(0.325708\pi\)
\(234\) 1.55780e6 899397.i 0.121581 0.0701946i
\(235\) −2.29216e6 3.97015e6i −0.176621 0.305917i
\(236\) −1.23567e7 7.13413e6i −0.940081 0.542756i
\(237\) 6.16509e6i 0.463121i
\(238\) −255709. + 211861.i −0.0189677 + 0.0157152i
\(239\) 1.19016e7 0.871790 0.435895 0.899998i \(-0.356432\pi\)
0.435895 + 0.899998i \(0.356432\pi\)
\(240\) 295716. 512195.i 0.0213915 0.0370512i
\(241\) −8.62117e6 + 4.97743e6i −0.615907 + 0.355594i −0.775274 0.631625i \(-0.782388\pi\)
0.159367 + 0.987219i \(0.449055\pi\)
\(242\) −3.99084e6 6.91233e6i −0.281590 0.487729i
\(243\) 797162. + 460241.i 0.0555556 + 0.0320750i
\(244\) 1.76841e7i 1.21735i
\(245\) −4.77845e6 + 5.55254e6i −0.324929 + 0.377566i
\(246\) 5.17814e6 0.347831
\(247\) 7.81234e6 1.35314e7i 0.518430 0.897947i
\(248\) −3.78520e6 + 2.18539e6i −0.248161 + 0.143276i
\(249\) −103109. 178591.i −0.00667883 0.0115681i
\(250\) −6.65175e6 3.84039e6i −0.425712 0.245785i
\(251\) 4.57737e6i 0.289464i −0.989471 0.144732i \(-0.953768\pi\)
0.989471 0.144732i \(-0.0462320\pi\)
\(252\) 2.32340e6 + 2.80426e6i 0.145185 + 0.175233i
\(253\) −280772. −0.0173377
\(254\) −6.35661e6 + 1.10100e7i −0.387904 + 0.671870i
\(255\) 180591. 104264.i 0.0108912 0.00628804i
\(256\) 7.35104e6 + 1.27324e7i 0.438156 + 0.758909i
\(257\) −3.50429e6 2.02320e6i −0.206443 0.119190i 0.393214 0.919447i \(-0.371363\pi\)
−0.599657 + 0.800257i \(0.704696\pi\)
\(258\) 334464.i 0.0194756i
\(259\) 1.12028e7 1.90336e6i 0.644801 0.109552i
\(260\) −4.46893e6 −0.254263
\(261\) 5.22650e6 9.05256e6i 0.293961 0.509155i
\(262\) −1.74006e7 + 1.00463e7i −0.967523 + 0.558600i
\(263\) −1.48379e7 2.56999e7i −0.815651 1.41275i −0.908860 0.417102i \(-0.863046\pi\)
0.0932094 0.995647i \(-0.470287\pi\)
\(264\) 127321. + 73508.8i 0.00691972 + 0.00399510i
\(265\) 1.48589e7i 0.798453i
\(266\) −1.37842e7 5.11464e6i −0.732379 0.271751i
\(267\) 3.59027e6 0.188623
\(268\) 4.80535e6 8.32312e6i 0.249644 0.432396i
\(269\) −1.77285e7 + 1.02355e7i −0.910783 + 0.525841i −0.880683 0.473706i \(-0.842916\pi\)
−0.0300997 + 0.999547i \(0.509582\pi\)
\(270\) 531452. + 920503.i 0.0270006 + 0.0467664i
\(271\) 2.19287e6 + 1.26606e6i 0.110181 + 0.0636128i 0.554078 0.832465i \(-0.313071\pi\)
−0.443897 + 0.896078i \(0.646404\pi\)
\(272\) 130905.i 0.00650502i
\(273\) 3.05539e6 8.23440e6i 0.150168 0.404710i
\(274\) −5.85494e6 −0.284623
\(275\) −114151. + 197716.i −0.00548887 + 0.00950700i
\(276\) −8.52198e6 + 4.92017e6i −0.405334 + 0.234020i
\(277\) −1.52864e7 2.64769e7i −0.719229 1.24574i −0.961306 0.275484i \(-0.911162\pi\)
0.242077 0.970257i \(-0.422171\pi\)
\(278\) −466624. 269405.i −0.0217186 0.0125393i
\(279\) 2.18851e6i 0.100771i
\(280\) 1.73612e6 + 1.02184e7i 0.0790872 + 0.465490i
\(281\) −2.27089e7 −1.02348 −0.511738 0.859142i \(-0.670998\pi\)
−0.511738 + 0.859142i \(0.670998\pi\)
\(282\) 2.58598e6 4.47905e6i 0.115313 0.199728i
\(283\) 3.54922e7 2.04914e7i 1.56593 0.904092i 0.569297 0.822132i \(-0.307216\pi\)
0.996636 0.0819595i \(-0.0261178\pi\)
\(284\) 7.65114e6 + 1.32522e7i 0.334019 + 0.578538i
\(285\) 7.99566e6 + 4.61630e6i 0.345398 + 0.199416i
\(286\) 143855.i 0.00614934i
\(287\) 1.94692e7 1.61307e7i 0.823573 0.682349i
\(288\) 8.21471e6 0.343886
\(289\) −1.20457e7 + 2.08638e7i −0.499044 + 0.864369i
\(290\) 1.04532e7 6.03517e6i 0.428604 0.247454i
\(291\) 5.16381e6 + 8.94398e6i 0.209552 + 0.362954i
\(292\) −7.62892e6 4.40456e6i −0.306418 0.176911i
\(293\) 2.94333e7i 1.17014i 0.810984 + 0.585069i \(0.198932\pi\)
−0.810984 + 0.585069i \(0.801068\pi\)
\(294\) −8.12050e6 1.53658e6i −0.319552 0.0604661i
\(295\) −2.03339e7 −0.792053
\(296\) 8.03887e6 1.39237e7i 0.309970 0.536884i
\(297\) 63751.6 36807.0i 0.00243345 0.00140495i
\(298\) 1.41012e7 + 2.44240e7i 0.532853 + 0.922928i
\(299\) 2.05531e7 + 1.18663e7i 0.768889 + 0.443918i
\(300\) 8.00143e6i 0.296349i
\(301\) 1.04190e6 + 1.25754e6i 0.0382057 + 0.0461130i
\(302\) 6.79538e6 0.246714
\(303\) −1.46345e7 + 2.53477e7i −0.526078 + 0.911193i
\(304\) 5.01931e6 2.89790e6i 0.178658 0.103148i
\(305\) 1.26010e7 + 2.18255e7i 0.444124 + 0.769245i
\(306\) 203740. + 117629.i 0.00711068 + 0.00410535i
\(307\) 4.67295e6i 0.161501i 0.996734 + 0.0807506i \(0.0257317\pi\)
−0.996734 + 0.0807506i \(0.974268\pi\)
\(308\) 287125. 48782.8i 0.00982694 0.00166961i
\(309\) −1.40920e7 −0.477635
\(310\) −1.26357e6 + 2.18856e6i −0.0424143 + 0.0734638i
\(311\) 2.77399e7 1.60156e7i 0.922196 0.532430i 0.0378610 0.999283i \(-0.487946\pi\)
0.884335 + 0.466853i \(0.154612\pi\)
\(312\) −6.21345e6 1.07620e7i −0.204583 0.354348i
\(313\) 1.88804e7 + 1.09006e7i 0.615714 + 0.355483i 0.775199 0.631718i \(-0.217650\pi\)
−0.159484 + 0.987200i \(0.550983\pi\)
\(314\) 1.11752e7i 0.360966i
\(315\) 4.86570e6 + 1.80542e6i 0.155673 + 0.0577627i
\(316\) −1.72799e7 −0.547620
\(317\) −5.26241e6 + 9.11476e6i −0.165199 + 0.286133i −0.936726 0.350064i \(-0.886160\pi\)
0.771527 + 0.636196i \(0.219493\pi\)
\(318\) 1.45177e7 8.38178e6i 0.451456 0.260648i
\(319\) −417980. 723962.i −0.0128761 0.0223020i
\(320\) 6.11202e6 + 3.52878e6i 0.186524 + 0.107690i
\(321\) 1.31911e7i 0.398811i
\(322\) 7.76875e6 2.09371e7i 0.232693 0.627117i
\(323\) 2.04350e6 0.0606410
\(324\) 1.28999e6 2.23433e6i 0.0379273 0.0656921i
\(325\) 1.67122e7 9.64882e6i 0.486838 0.281076i
\(326\) 1.48490e7 + 2.57193e7i 0.428594 + 0.742346i
\(327\) −2.28872e7 1.32139e7i −0.654560 0.377910i
\(328\) 3.57730e7i 1.01376i
\(329\) −4.22992e6 2.48964e7i −0.118780 0.699114i
\(330\) 85004.0 0.00236536
\(331\) −2.03472e7 + 3.52425e7i −0.561076 + 0.971812i 0.436327 + 0.899788i \(0.356279\pi\)
−0.997403 + 0.0720239i \(0.977054\pi\)
\(332\) −500566. + 289002.i −0.0136788 + 0.00789744i
\(333\) −4.02519e6 6.97183e6i −0.109007 0.188805i
\(334\) −2.12698e7 1.22801e7i −0.570852 0.329581i
\(335\) 1.36964e7i 0.364310i
\(336\) 2.50875e6 2.07856e6i 0.0661363 0.0547955i
\(337\) −4.05258e7 −1.05887 −0.529434 0.848351i \(-0.677596\pi\)
−0.529434 + 0.848351i \(0.677596\pi\)
\(338\) 4.79598e6 8.30688e6i 0.124202 0.215123i
\(339\) 2.06217e6 1.19059e6i 0.0529328 0.0305607i
\(340\) −292238. 506172.i −0.00743533 0.0128784i
\(341\) 151574. + 87511.3i 0.00382262 + 0.00220699i
\(342\) 1.04160e7i 0.260390i
\(343\) −3.53187e7 + 1.95192e7i −0.875231 + 0.483704i
\(344\) 2.31063e6 0.0567617
\(345\) −7.01180e6 + 1.21448e7i −0.170755 + 0.295756i
\(346\) 1.07770e7 6.22209e6i 0.260177 0.150213i
\(347\) 8.26775e6 + 1.43202e7i 0.197879 + 0.342736i 0.947840 0.318745i \(-0.103262\pi\)
−0.749962 + 0.661481i \(0.769928\pi\)
\(348\) −2.53731e7 1.46491e7i −0.602054 0.347596i
\(349\) 5.07209e6i 0.119319i 0.998219 + 0.0596597i \(0.0190015\pi\)
−0.998219 + 0.0596597i \(0.980998\pi\)
\(350\) −1.15852e7 1.39829e7i −0.270208 0.326132i
\(351\) −6.22234e6 −0.143891
\(352\) 328479. 568942.i 0.00753146 0.0130449i
\(353\) −3.94332e7 + 2.27668e7i −0.896475 + 0.517580i −0.876055 0.482211i \(-0.839834\pi\)
−0.0204200 + 0.999791i \(0.506500\pi\)
\(354\) −1.14702e7 1.98669e7i −0.258559 0.447837i
\(355\) 1.88858e7 + 1.09037e7i 0.422135 + 0.243720i
\(356\) 1.00630e7i 0.223038i
\(357\) 1.13247e6 192408.i 0.0248898 0.00422880i
\(358\) 6.70430e6 0.146118
\(359\) 2.00085e7 3.46558e7i 0.432446 0.749018i −0.564638 0.825339i \(-0.690984\pi\)
0.997083 + 0.0763210i \(0.0243174\pi\)
\(360\) 6.35926e6 3.67152e6i 0.136301 0.0786934i
\(361\) 2.17150e7 + 3.76114e7i 0.461570 + 0.799463i
\(362\) 2.34815e7 + 1.35570e7i 0.494994 + 0.285785i
\(363\) 2.76100e7i 0.577227i
\(364\) −2.30799e7 8.56383e6i −0.478552 0.177568i
\(365\) −1.25540e7 −0.258169
\(366\) −1.42162e7 + 2.46231e7i −0.289961 + 0.502227i
\(367\) 1.53736e7 8.87597e6i 0.311013 0.179563i −0.336367 0.941731i \(-0.609198\pi\)
0.647380 + 0.762168i \(0.275865\pi\)
\(368\) 4.40169e6 + 7.62395e6i 0.0883234 + 0.152981i
\(369\) −1.55123e7 8.95606e6i −0.308744 0.178253i
\(370\) 9.29598e6i 0.183523i
\(371\) 2.84742e7 7.67391e7i 0.557609 1.50278i
\(372\) 6.13410e6 0.119158
\(373\) 2.69790e6 4.67291e6i 0.0519876 0.0900452i −0.838860 0.544346i \(-0.816778\pi\)
0.890848 + 0.454301i \(0.150111\pi\)
\(374\) 16293.7 9407.18i 0.000311462 0.000179823i
\(375\) 1.32846e7 + 2.30096e7i 0.251915 + 0.436330i
\(376\) −3.09433e7 1.78651e7i −0.582108 0.336080i
\(377\) 7.06609e7i 1.31873i
\(378\) 980733. + 5.77237e6i 0.0181583 + 0.106876i
\(379\) 3.47845e7 0.638951 0.319475 0.947595i \(-0.396493\pi\)
0.319475 + 0.947595i \(0.396493\pi\)
\(380\) 1.29388e7 2.24107e7i 0.235801 0.408418i
\(381\) 3.80854e7 2.19886e7i 0.688627 0.397579i
\(382\) 1.44283e7 + 2.49905e7i 0.258836 + 0.448316i
\(383\) −4.90000e7 2.82902e7i −0.872168 0.503546i −0.00409994 0.999992i \(-0.501305\pi\)
−0.868068 + 0.496445i \(0.834638\pi\)
\(384\) 2.57641e7i 0.455011i
\(385\) 319605. 264800.i 0.00560055 0.00464019i
\(386\) −4.43964e7 −0.771944
\(387\) 578485. 1.00196e6i 0.00998065 0.0172870i
\(388\) 2.50688e7 1.44735e7i 0.429178 0.247786i
\(389\) 1.30039e7 + 2.25234e7i 0.220915 + 0.382636i 0.955086 0.296329i \(-0.0957624\pi\)
−0.734171 + 0.678964i \(0.762429\pi\)
\(390\) −6.22248e6 3.59255e6i −0.104899 0.0605632i
\(391\) 3.10392e6i 0.0519254i
\(392\) −1.06154e7 + 5.61002e7i −0.176229 + 0.931336i
\(393\) 6.95036e7 1.14506
\(394\) 5.38252e6 9.32280e6i 0.0880029 0.152425i
\(395\) −2.13266e7 + 1.23129e7i −0.346043 + 0.199788i
\(396\) −103165. 178687.i −0.00166129 0.00287745i
\(397\) −1.18039e7 6.81496e6i −0.188648 0.108916i 0.402701 0.915331i \(-0.368071\pi\)
−0.591350 + 0.806415i \(0.701405\pi\)
\(398\) 7.08217e7i 1.12335i
\(399\) 3.24475e7 + 3.91631e7i 0.510814 + 0.616535i
\(400\) 7.15825e6 0.111848
\(401\) 2.00929e7 3.48019e7i 0.311609 0.539722i −0.667102 0.744966i \(-0.732465\pi\)
0.978711 + 0.205244i \(0.0657988\pi\)
\(402\) 1.33818e7 7.72599e6i 0.205986 0.118926i
\(403\) −7.39703e6 1.28120e7i −0.113017 0.195751i
\(404\) 7.10461e7 + 4.10185e7i 1.07745 + 0.622064i
\(405\) 3.67677e6i 0.0553480i
\(406\) 6.55510e7 1.11372e7i 0.979493 0.166417i
\(407\) −643815. −0.00954944
\(408\) 812636. 1.40753e6i 0.0119651 0.0207241i
\(409\) 6.55577e6 3.78497e6i 0.0958194 0.0553214i −0.451325 0.892360i \(-0.649048\pi\)
0.547144 + 0.837038i \(0.315715\pi\)
\(410\) −1.03418e7 1.79125e7i −0.150053 0.259899i
\(411\) 1.75398e7 + 1.01266e7i 0.252639 + 0.145861i
\(412\) 3.94978e7i 0.564783i
\(413\) −1.05015e8 3.89659e7i −1.49073 0.553139i
\(414\) −1.58212e7 −0.222965
\(415\) −411860. + 713363.i −0.00576243 + 0.00998082i
\(416\) −4.80907e7 + 2.77652e7i −0.668008 + 0.385674i
\(417\) 931921. + 1.61413e6i 0.0128520 + 0.0222603i
\(418\) 721404. + 416503.i 0.00987756 + 0.00570281i
\(419\) 3.12413e7i 0.424705i −0.977193 0.212353i \(-0.931887\pi\)
0.977193 0.212353i \(-0.0681125\pi\)
\(420\) 5.06036e6 1.36379e7i 0.0683020 0.184077i
\(421\) 5.98978e7 0.802721 0.401361 0.915920i \(-0.368537\pi\)
0.401361 + 0.915920i \(0.368537\pi\)
\(422\) 3.30634e6 5.72675e6i 0.0439957 0.0762029i
\(423\) −1.54938e7 + 8.94536e6i −0.204709 + 0.118189i
\(424\) −5.79052e7 1.00295e8i −0.759661 1.31577i
\(425\) 2.18574e6 + 1.26194e6i 0.0284729 + 0.0164388i
\(426\) 2.46028e7i 0.318241i
\(427\) 2.32536e7 + 1.36865e8i 0.298680 + 1.75796i
\(428\) −3.69730e7 −0.471577
\(429\) −248811. + 430953.i −0.00315135 + 0.00545830i
\(430\) 1.15699e6 667991.i 0.0145521 0.00840166i
\(431\) −4.81510e7 8.33999e7i −0.601414 1.04168i −0.992607 0.121371i \(-0.961271\pi\)
0.391194 0.920308i \(-0.372062\pi\)
\(432\) −1.99888e6 1.15406e6i −0.0247934 0.0143145i
\(433\) 1.11186e8i 1.36958i −0.728741 0.684790i \(-0.759894\pi\)
0.728741 0.684790i \(-0.240106\pi\)
\(434\) −1.07197e7 + 8.88148e6i −0.131133 + 0.108647i
\(435\) −4.17534e7 −0.507252
\(436\) −3.70368e7 + 6.41497e7i −0.446863 + 0.773989i
\(437\) −1.19014e8 + 6.87129e7i −1.42611 + 0.823368i
\(438\) −7.08160e6 1.22657e7i −0.0842770 0.145972i
\(439\) −7.90517e7 4.56405e7i −0.934367 0.539457i −0.0461770 0.998933i \(-0.514704\pi\)
−0.888190 + 0.459476i \(0.848037\pi\)
\(440\) 587247.i 0.00689386i
\(441\) 2.16692e7 + 1.86483e7i 0.252655 + 0.217432i
\(442\) −1.59031e6 −0.0184169
\(443\) 5.31635e7 9.20820e7i 0.611509 1.05916i −0.379477 0.925201i \(-0.623896\pi\)
0.990986 0.133963i \(-0.0427705\pi\)
\(444\) −1.95411e7 + 1.12821e7i −0.223254 + 0.128896i
\(445\) −7.17049e6 1.24197e7i −0.0813709 0.140939i
\(446\) 1.41800e7 + 8.18681e6i 0.159835 + 0.0922806i
\(447\) 9.75570e7i 1.09228i
\(448\) 2.48034e7 + 2.99369e7i 0.275853 + 0.332945i
\(449\) 7.74221e7 0.855315 0.427657 0.903941i \(-0.359339\pi\)
0.427657 + 0.903941i \(0.359339\pi\)
\(450\) −6.43230e6 + 1.11411e7i −0.0705877 + 0.122261i
\(451\) −1.24057e6 + 716245.i −0.0135236 + 0.00780786i
\(452\) −3.33707e6 5.77997e6i −0.0361368 0.0625907i
\(453\) −2.03572e7 1.17532e7i −0.218989 0.126433i
\(454\) 2.67525e7i 0.285889i
\(455\) −3.45871e7 + 5.87638e6i −0.367180 + 0.0623844i
\(456\) 7.19589e7 0.758909
\(457\) −9.50468e6 + 1.64626e7i −0.0995838 + 0.172484i −0.911512 0.411272i \(-0.865084\pi\)
0.811929 + 0.583757i \(0.198418\pi\)
\(458\) 4.77517e7 2.75695e7i 0.497042 0.286967i
\(459\) −406900. 704771.i −0.00420774 0.00728803i
\(460\) 3.40402e7 + 1.96531e7i 0.349718 + 0.201910i
\(461\) 1.05709e8i 1.07897i −0.841996 0.539483i \(-0.818620\pi\)
0.841996 0.539483i \(-0.181380\pi\)
\(462\) 439004. + 162893.i 0.00445188 + 0.00165188i
\(463\) −2.82212e7 −0.284336 −0.142168 0.989843i \(-0.545407\pi\)
−0.142168 + 0.989843i \(0.545407\pi\)
\(464\) −1.31054e7 + 2.26993e7i −0.131189 + 0.227226i
\(465\) 7.57062e6 4.37090e6i 0.0752961 0.0434722i
\(466\) 2.73109e7 + 4.73039e7i 0.269885 + 0.467454i
\(467\) 1.49701e8 + 8.64297e7i 1.46985 + 0.848619i 0.999428 0.0338227i \(-0.0107681\pi\)
0.470423 + 0.882441i \(0.344101\pi\)
\(468\) 1.74404e7i 0.170145i
\(469\) 2.62464e7 7.07351e7i 0.254420 0.685672i
\(470\) −2.06589e7 −0.198982
\(471\) −1.93285e7 + 3.34779e7i −0.184985 + 0.320403i
\(472\) −1.37250e8 + 7.92412e7i −1.30523 + 0.753572i
\(473\) −46263.3 80130.4i −0.000437173 0.000757206i
\(474\) −2.40603e7 1.38912e7i −0.225925 0.130438i
\(475\) 1.11744e8i 1.04267i
\(476\) −539292. 3.17415e6i −0.00500038 0.0294311i
\(477\) −5.79881e7 −0.534298
\(478\) 2.68167e7 4.64480e7i 0.245540 0.425288i
\(479\) −2.41808e7 + 1.39608e7i −0.220021 + 0.127029i −0.605960 0.795495i \(-0.707211\pi\)
0.385939 + 0.922524i \(0.373878\pi\)
\(480\) −1.64064e7 2.84167e7i −0.148351 0.256951i
\(481\) 4.71287e7 + 2.72098e7i 0.423497 + 0.244506i
\(482\) 4.48607e7i 0.400613i
\(483\) −5.94857e7 + 4.92853e7i −0.527923 + 0.437397i
\(484\) 7.73871e7 0.682546
\(485\) 2.06263e7 3.57258e7i 0.180799 0.313153i
\(486\) 3.59233e6 2.07404e6i 0.0312945 0.0180679i
\(487\) −2.68794e7 4.65566e7i −0.232720 0.403082i 0.725888 0.687813i \(-0.241429\pi\)
−0.958608 + 0.284731i \(0.908096\pi\)
\(488\) 1.70108e8 + 9.82119e7i 1.46374 + 0.845093i
\(489\) 1.02731e8i 0.878567i
\(490\) 1.09029e7 + 3.11597e7i 0.0926728 + 0.264853i
\(491\) 9.34867e7 0.789779 0.394889 0.918729i \(-0.370783\pi\)
0.394889 + 0.918729i \(0.370783\pi\)
\(492\) −2.51026e7 + 4.34790e7i −0.210777 + 0.365076i
\(493\) −8.00337e6 + 4.62075e6i −0.0667932 + 0.0385631i
\(494\) −3.52056e7 6.09778e7i −0.292032 0.505814i
\(495\) −254649. 147022.i −0.00209955 0.00121218i
\(496\) 5.48770e6i 0.0449723i
\(497\) 7.66414e7 + 9.25036e7i 0.624301 + 0.753511i
\(498\) −929307. −0.00752439
\(499\) −2.51376e6 + 4.35396e6i −0.0202312 + 0.0350415i −0.875964 0.482377i \(-0.839774\pi\)
0.855733 + 0.517418i \(0.173107\pi\)
\(500\) 6.44927e7 3.72349e7i 0.515941 0.297879i
\(501\) 4.24790e7 + 7.35759e7i 0.337802 + 0.585089i
\(502\) −1.78639e7 1.03137e7i −0.141210 0.0815277i
\(503\) 1.45016e8i 1.13949i 0.821820 + 0.569747i \(0.192959\pi\)
−0.821820 + 0.569747i \(0.807041\pi\)
\(504\) 3.98782e7 6.77536e6i 0.311490 0.0529225i
\(505\) 1.16912e8 0.907789
\(506\) −632635. + 1.09576e6i −0.00488317 + 0.00845790i
\(507\) −2.87349e7 + 1.65901e7i −0.220489 + 0.127299i
\(508\) −6.16311e7 1.06748e8i −0.470120 0.814272i
\(509\) 1.14421e7 + 6.60609e6i 0.0867665 + 0.0500946i 0.542755 0.839891i \(-0.317381\pi\)
−0.455989 + 0.889985i \(0.650714\pi\)
\(510\) 939715.i 0.00708411i
\(511\) −6.48353e7 2.40573e7i −0.485903 0.180295i
\(512\) −3.95237e7 −0.294474
\(513\) 1.80155e7 3.12037e7i 0.133442 0.231129i
\(514\) −1.57918e7 + 9.11737e6i −0.116290 + 0.0671399i
\(515\) 2.81445e7 + 4.87476e7i 0.206049 + 0.356888i
\(516\) −2.80837e6 1.62141e6i −0.0204411 0.0118017i
\(517\) 1.43078e6i 0.0103538i
\(518\) 1.78139e7 4.80092e7i 0.128165 0.345410i
\(519\) −4.30466e7 −0.307919
\(520\) −2.48190e7 + 4.29878e7i −0.176512 + 0.305728i
\(521\) −6.70170e7 + 3.86923e7i −0.473884 + 0.273597i −0.717864 0.696183i \(-0.754880\pi\)
0.243980 + 0.969780i \(0.421547\pi\)
\(522\) −2.35527e7 4.07945e7i −0.165588 0.286807i
\(523\) −1.16424e8 6.72177e7i −0.813840 0.469871i 0.0344475 0.999407i \(-0.489033\pi\)
−0.848288 + 0.529536i \(0.822366\pi\)
\(524\) 1.94809e8i 1.35399i
\(525\) 1.05214e7 + 6.19266e7i 0.0727103 + 0.427956i
\(526\) −1.33731e8 −0.918913
\(527\) 967433. 1.67564e6i 0.00660981 0.0114485i
\(528\) −159857. + 92293.6i −0.00108600 + 0.000627003i
\(529\) −3.03516e7 5.25705e7i −0.205029 0.355120i
\(530\) −5.79893e7 3.34802e7i −0.389512 0.224885i
\(531\) 7.93546e7i 0.530016i
\(532\) 1.09769e8 9.09459e7i 0.729027 0.604016i
\(533\) 1.21084e8 0.799657
\(534\) 8.08962e6 1.40116e7i 0.0531257 0.0920164i
\(535\) −4.56315e7 + 2.63453e7i −0.297991 + 0.172045i
\(536\) −5.33747e7 9.24478e7i −0.346610 0.600347i
\(537\) −2.00843e7 1.15957e7i −0.129698 0.0748813i
\(538\) 9.22511e7i 0.592413i
\(539\) 2.15804e6 755104.i 0.0137814 0.00482215i
\(540\) −1.03055e7 −0.0654467
\(541\) 7.51469e7 1.30158e8i 0.474590 0.822015i −0.524986 0.851111i \(-0.675930\pi\)
0.999577 + 0.0290960i \(0.00926284\pi\)
\(542\) 9.88197e6 5.70536e6i 0.0620649 0.0358332i
\(543\) −4.68962e7 8.12266e7i −0.292913 0.507340i
\(544\) −6.28962e6 3.63132e6i −0.0390686 0.0225563i
\(545\) 1.05563e8i 0.652115i
\(546\) −2.52517e7 3.04779e7i −0.155136 0.187244i
\(547\) −6.65431e7 −0.406576 −0.203288 0.979119i \(-0.565163\pi\)
−0.203288 + 0.979119i \(0.565163\pi\)
\(548\) 2.83835e7 4.91617e7i 0.172474 0.298735i
\(549\) 8.51757e7 4.91762e7i 0.514753 0.297193i
\(550\) 514412. + 890988.i 0.00309188 + 0.00535530i
\(551\) −3.54349e8 2.04583e8i −2.11825 1.22297i
\(552\) 1.09300e8i 0.649835i
\(553\) −1.33737e8 + 2.27220e7i −0.790816 + 0.134360i
\(554\) −1.37774e8 −0.810284
\(555\) −1.60782e7 + 2.78483e7i −0.0940500 + 0.162899i
\(556\) 4.52420e6 2.61205e6i 0.0263219 0.0151969i
\(557\) 1.26843e8 + 2.19698e8i 0.734007 + 1.27134i 0.955158 + 0.296097i \(0.0956852\pi\)
−0.221151 + 0.975240i \(0.570981\pi\)
\(558\) 8.54103e6 + 4.93117e6i 0.0491595 + 0.0283823i
\(559\) 7.82096e6i 0.0447739i
\(560\) −1.22007e7 4.52710e6i −0.0694740 0.0257784i
\(561\) −65082.2 −0.000368616
\(562\) −5.11678e7 + 8.86252e7i −0.288262 + 0.499285i
\(563\) 1.43519e8 8.28606e7i 0.804236 0.464326i −0.0407139 0.999171i \(-0.512963\pi\)
0.844950 + 0.534845i \(0.179630\pi\)
\(564\) 2.50726e7 + 4.34270e7i 0.139753 + 0.242060i
\(565\) −8.23711e6 4.75570e6i −0.0456699 0.0263675i
\(566\) 1.84685e8i 1.01855i
\(567\) 7.04581e6 1.89888e7i 0.0386529 0.104171i
\(568\) 1.69968e8 0.927516
\(569\) −8.19891e7 + 1.42009e8i −0.445061 + 0.770868i −0.998056 0.0623160i \(-0.980151\pi\)
0.552996 + 0.833184i \(0.313485\pi\)
\(570\) 3.60317e7 2.08029e7i 0.194563 0.112331i
\(571\) 1.70285e8 + 2.94942e8i 0.914677 + 1.58427i 0.807373 + 0.590042i \(0.200889\pi\)
0.107305 + 0.994226i \(0.465778\pi\)
\(572\) 1.20790e6 + 697382.i 0.00645421 + 0.00372634i
\(573\) 9.98198e7i 0.530582i
\(574\) −1.90846e7 1.12327e8i −0.100913 0.593950i
\(575\) −1.69731e8 −0.892808
\(576\) 1.37713e7 2.38526e7i 0.0720623 0.124816i
\(577\) 2.37115e8 1.36899e8i 1.23433 0.712642i 0.266402 0.963862i \(-0.414165\pi\)
0.967930 + 0.251220i \(0.0808317\pi\)
\(578\) 5.42829e7 + 9.40207e7i 0.281112 + 0.486900i
\(579\) 1.33000e8 + 7.67875e7i 0.685197 + 0.395599i
\(580\) 1.17029e8i 0.599804i
\(581\) −3.49408e6 + 2.89493e6i −0.0178158 + 0.0147608i
\(582\) 4.65405e7 0.236081
\(583\) −2.31875e6 + 4.01619e6i −0.0117017 + 0.0202679i
\(584\) −8.47371e7 + 4.89230e7i −0.425437 + 0.245626i
\(585\) 1.24273e7 + 2.15246e7i 0.0620737 + 0.107515i
\(586\) 1.14868e8 + 6.63193e7i 0.570831 + 0.329570i
\(587\) 2.96429e8i 1.46557i 0.680460 + 0.732785i \(0.261780\pi\)
−0.680460 + 0.732785i \(0.738220\pi\)
\(588\) 5.22686e7 6.07358e7i 0.257104 0.298754i
\(589\) 8.56661e7 0.419241
\(590\) −4.58164e7 + 7.93563e7i −0.223082 + 0.386390i
\(591\) −3.22492e7 + 1.86191e7i −0.156227 + 0.0901978i
\(592\) 1.00932e7 + 1.74819e7i 0.0486477 + 0.0842603i
\(593\) −1.12529e8 6.49684e7i −0.539633 0.311557i 0.205297 0.978700i \(-0.434184\pi\)
−0.744930 + 0.667142i \(0.767517\pi\)
\(594\) 331735.i 0.00158282i
\(595\) −2.92735e6 3.53321e6i −0.0138971 0.0167733i
\(596\) −2.73439e8 −1.29158
\(597\) 1.22492e8 2.12163e8i 0.575686 0.997118i
\(598\) 9.26206e7 5.34745e7i 0.433116 0.250060i
\(599\) 3.82426e7 + 6.62382e7i 0.177937 + 0.308197i 0.941174 0.337923i \(-0.109724\pi\)
−0.763237 + 0.646119i \(0.776391\pi\)
\(600\) 7.69677e7 + 4.44373e7i 0.356332 + 0.205728i
\(601\) 1.12466e8i 0.518080i −0.965867 0.259040i \(-0.916594\pi\)
0.965867 0.259040i \(-0.0834061\pi\)
\(602\) 7.25539e6 1.23270e6i 0.0332561 0.00565025i
\(603\) −5.34511e7 −0.243784
\(604\) −3.29426e7 + 5.70583e7i −0.149502 + 0.258945i
\(605\) 9.55100e7 5.51427e7i 0.431303 0.249013i
\(606\) 6.59490e7 + 1.14227e8i 0.296340 + 0.513276i
\(607\) −4.03159e6 2.32764e6i −0.0180264 0.0104076i 0.490960 0.871182i \(-0.336646\pi\)
−0.508986 + 0.860775i \(0.669980\pi\)
\(608\) 3.21553e8i 1.43068i
\(609\) −2.15636e8 8.00122e7i −0.954706 0.354245i
\(610\) 1.13570e8 0.500351
\(611\) 6.04695e7 1.04736e8i 0.265102 0.459170i
\(612\) −1.97538e6 + 1.14048e6i −0.00861778 + 0.00497548i
\(613\) 1.02768e8 + 1.78000e8i 0.446147 + 0.772749i 0.998131 0.0611054i \(-0.0194626\pi\)
−0.551984 + 0.833854i \(0.686129\pi\)
\(614\) 1.82369e7 + 1.05291e7i 0.0787856 + 0.0454869i
\(615\) 7.15481e7i 0.307590i
\(616\) 1.12534e6 3.03285e6i 0.00481441 0.0129750i
\(617\) 1.85696e8 0.790583 0.395292 0.918556i \(-0.370644\pi\)
0.395292 + 0.918556i \(0.370644\pi\)
\(618\) −3.17521e7 + 5.49962e7i −0.134526 + 0.233006i
\(619\) 7.59648e7 4.38583e7i 0.320288 0.184918i −0.331233 0.943549i \(-0.607465\pi\)
0.651521 + 0.758631i \(0.274131\pi\)
\(620\) −1.22510e7 2.12194e7i −0.0514040 0.0890344i
\(621\) 4.73960e7 + 2.73641e7i 0.197910 + 0.114263i
\(622\) 1.44346e8i 0.599837i
\(623\) −1.32323e7 7.78824e7i −0.0547232 0.322088i
\(624\) 1.56025e7 0.0642157
\(625\) −3.87164e7 + 6.70588e7i −0.158582 + 0.274673i
\(626\) 8.50830e7 4.91227e7i 0.346832 0.200244i
\(627\) −1.44076e6 2.49546e6i −0.00584505 0.0101239i
\(628\) 9.38340e7 + 5.41751e7i 0.378862 + 0.218736i
\(629\) 7.11735e6i 0.0286000i
\(630\) 1.80094e7 1.49212e7i 0.0720239 0.0596735i
\(631\) −4.15732e8 −1.65472 −0.827362 0.561670i \(-0.810159\pi\)
−0.827362 + 0.561670i \(0.810159\pi\)
\(632\) −9.59668e7 + 1.66219e8i −0.380163 + 0.658462i
\(633\) −1.98099e7 + 1.14372e7i −0.0781034 + 0.0450930i
\(634\) 2.37146e7 + 4.10748e7i 0.0930566 + 0.161179i
\(635\) −1.52128e8 8.78313e7i −0.594140 0.343027i
\(636\) 1.62533e8i 0.631785i
\(637\) −1.89886e8 3.59306e7i −0.734642 0.139010i
\(638\) −3.76718e6 −0.0145062
\(639\) 4.25527e7 7.37035e7i 0.163089 0.282479i
\(640\) −8.91246e7 + 5.14561e7i −0.339983 + 0.196289i
\(641\) −8.98600e7 1.55642e8i −0.341187 0.590953i 0.643466 0.765474i \(-0.277496\pi\)
−0.984653 + 0.174521i \(0.944162\pi\)
\(642\) −5.14806e7 2.97223e7i −0.194553 0.112325i
\(643\) 8.10561e7i 0.304897i 0.988311 + 0.152448i \(0.0487158\pi\)
−0.988311 + 0.152448i \(0.951284\pi\)
\(644\) 1.38140e8 + 1.66730e8i 0.517203 + 0.624247i
\(645\) −4.62140e6 −0.0172224
\(646\) 4.60442e6 7.97508e6i 0.0170796 0.0295827i
\(647\) 9.06246e7 5.23221e7i 0.334606 0.193185i −0.323278 0.946304i \(-0.604785\pi\)
0.657884 + 0.753119i \(0.271452\pi\)
\(648\) −1.43284e7 2.48175e7i −0.0526590 0.0912081i
\(649\) 5.49601e6 + 3.17312e6i 0.0201054 + 0.0116079i
\(650\) 8.69630e7i 0.316661i
\(651\) 4.74745e7 8.06598e6i 0.172075 0.0292357i
\(652\) −2.87941e8 −1.03887
\(653\) −2.36179e8 + 4.09074e8i −0.848206 + 1.46914i 0.0346020 + 0.999401i \(0.488984\pi\)
−0.882808 + 0.469734i \(0.844350\pi\)
\(654\) −1.03139e8 + 5.95474e7i −0.368714 + 0.212877i
\(655\) −1.38812e8 2.40430e8i −0.493975 0.855589i
\(656\) 3.88972e7 + 2.24573e7i 0.137787 + 0.0795511i
\(657\) 4.89930e7i 0.172758i
\(658\) −1.06693e8 3.95886e7i −0.374506 0.138961i
\(659\) 1.73758e8 0.607141 0.303570 0.952809i \(-0.401821\pi\)
0.303570 + 0.952809i \(0.401821\pi\)
\(660\) −412082. + 713747.i −0.00143335 + 0.00248263i
\(661\) −1.91974e7 + 1.10836e7i −0.0664720 + 0.0383776i −0.532868 0.846199i \(-0.678886\pi\)
0.466396 + 0.884576i \(0.345552\pi\)
\(662\) 9.16930e7 + 1.58817e8i 0.316055 + 0.547423i
\(663\) 4.76416e6 + 2.75059e6i 0.0163473 + 0.00943811i
\(664\) 6.42008e6i 0.0219299i
\(665\) 7.06707e7 1.90460e8i 0.240311 0.647649i
\(666\) −3.62783e7 −0.122807
\(667\) 3.10746e8 5.38229e8i 1.04720 1.81380i
\(668\) 2.06223e8 1.19063e8i 0.691843 0.399436i
\(669\) −2.83196e7 4.90510e7i −0.0945821 0.163821i
\(670\) −5.34523e7 3.08607e7i −0.177722 0.102608i
\(671\) 7.86557e6i 0.0260353i
\(672\) −3.02761e7 1.78198e8i −0.0997682 0.587213i
\(673\) −4.00045e8 −1.31239 −0.656195 0.754591i \(-0.727835\pi\)
−0.656195 + 0.754591i \(0.727835\pi\)
\(674\) −9.13128e7 + 1.58158e8i −0.298230 + 0.516550i
\(675\) 3.85389e7 2.22505e7i 0.125311 0.0723482i
\(676\) 4.64998e7 + 8.05401e7i 0.150526 + 0.260719i
\(677\) −2.51224e8 1.45044e8i −0.809646 0.467449i 0.0371872 0.999308i \(-0.488160\pi\)
−0.846833 + 0.531859i \(0.821494\pi\)
\(678\) 1.07306e7i 0.0344298i
\(679\) 1.74987e8 1.44980e8i 0.558979 0.463127i
\(680\) −6.49199e6 −0.0206467
\(681\) −4.62709e7 + 8.01435e7i −0.146510 + 0.253762i
\(682\) 683054. 394362.i 0.00215329 0.00124320i
\(683\) −5.77014e7 9.99417e7i −0.181102 0.313678i 0.761154 0.648571i \(-0.224633\pi\)
−0.942256 + 0.334893i \(0.891300\pi\)
\(684\) −8.74597e7 5.04949e7i −0.273300 0.157790i
\(685\) 8.08996e7i 0.251695i
\(686\) −3.40341e6 + 1.81818e8i −0.0105425 + 0.563202i
\(687\) −1.90735e8 −0.588249
\(688\) −1.45055e6 + 2.51243e6i −0.00445418 + 0.00771487i
\(689\) 3.39475e8 1.95996e8i 1.03789 0.599224i
\(690\) 3.15980e7 + 5.47294e7i 0.0961862 + 0.166599i
\(691\) 3.59314e8 + 2.07450e8i 1.08903 + 0.628752i 0.933318 0.359051i \(-0.116899\pi\)
0.155712 + 0.987802i \(0.450233\pi\)
\(692\) 1.20654e8i 0.364101i
\(693\) −1.03340e6 1.24728e6i −0.00310506 0.00374770i
\(694\) 7.45157e7 0.222930
\(695\) 3.72246e6 6.44750e6i 0.0110886 0.0192060i
\(696\) −2.81827e8 + 1.62713e8i −0.835902 + 0.482608i
\(697\) 7.91806e6 + 1.37145e7i 0.0233841 + 0.0405024i
\(698\) 1.97947e7 + 1.14285e7i 0.0582079 + 0.0336063i
\(699\) 1.88947e8i 0.553232i
\(700\) 1.73572e8 2.94900e7i 0.506040 0.0859768i
\(701\) 5.13427e8 1.49047 0.745237 0.666800i \(-0.232336\pi\)
0.745237 + 0.666800i \(0.232336\pi\)
\(702\) −1.40202e7 + 2.42837e7i −0.0405269 + 0.0701946i
\(703\) −2.72902e8 + 1.57560e8i −0.785491 + 0.453503i
\(704\) −1.10134e6 1.90757e6i −0.00315648 0.00546718i
\(705\) 6.18885e7 + 3.57313e7i 0.176621 + 0.101972i
\(706\) 2.05193e8i 0.583107i
\(707\) 6.03794e8 + 2.24039e8i 1.70856 + 0.633965i
\(708\) 2.22420e8 0.626721
\(709\) −1.64200e8 + 2.84402e8i −0.460716 + 0.797984i −0.998997 0.0447818i \(-0.985741\pi\)
0.538281 + 0.842766i \(0.319074\pi\)
\(710\) 8.51073e7 4.91367e7i 0.237789 0.137288i
\(711\) 4.80521e7 + 8.32287e7i 0.133691 + 0.231560i
\(712\) −9.67989e7 5.58869e7i −0.268182 0.154835i
\(713\) 1.30120e8i 0.358985i
\(714\) 1.80078e6 4.85317e6i 0.00494727 0.0133331i
\(715\) 1.98770e6 0.00543791
\(716\) −3.25011e7 + 5.62935e7i −0.0885439 + 0.153363i
\(717\) −1.60672e8 + 9.27638e7i −0.435895 + 0.251664i
\(718\) −9.01665e7 1.56173e8i −0.243597 0.421923i
\(719\) 9.79686e7 + 5.65622e7i 0.263573 + 0.152174i 0.625963 0.779853i \(-0.284706\pi\)
−0.362391 + 0.932026i \(0.618039\pi\)
\(720\) 9.21952e6i 0.0247008i
\(721\) 5.19373e7 + 3.05691e8i 0.138571 + 0.815600i
\(722\) 1.95713e8 0.520006
\(723\) 7.75905e7 1.34391e8i 0.205302 0.355594i
\(724\) −2.27667e8 + 1.31444e8i −0.599907 + 0.346357i
\(725\) −2.52676e8 4.37648e8i −0.663055 1.14845i
\(726\) 1.07753e8 + 6.22110e7i 0.281590 + 0.162576i
\(727\) 9.97740e7i 0.259666i 0.991536 + 0.129833i \(0.0414440\pi\)
−0.991536 + 0.129833i \(0.958556\pi\)
\(728\) −2.10556e8 + 1.74450e8i −0.545724 + 0.452145i
\(729\) −1.43489e7 −0.0370370
\(730\) −2.82867e7 + 4.89940e7i −0.0727133 + 0.125943i
\(731\) −885838. + 511439.i −0.00226779 + 0.00130931i
\(732\) −1.37834e8 2.38736e8i −0.351418 0.608673i
\(733\) 3.13962e8 + 1.81266e8i 0.797197 + 0.460262i 0.842490 0.538712i \(-0.181089\pi\)
−0.0452931 + 0.998974i \(0.514422\pi\)
\(734\) 7.99975e7i 0.202296i
\(735\) 2.12314e7 1.12204e8i 0.0534707 0.282582i
\(736\) 4.88414e8 1.22505
\(737\) −2.13733e6 + 3.70197e6i −0.00533912 + 0.00924762i
\(738\) −6.99050e7 + 4.03596e7i −0.173916 + 0.100410i
\(739\) 1.02140e8 + 1.76912e8i 0.253083 + 0.438352i 0.964373 0.264546i \(-0.0852221\pi\)
−0.711290 + 0.702899i \(0.751889\pi\)
\(740\) 7.80549e7 + 4.50650e7i 0.192622 + 0.111210i
\(741\) 2.43565e8i 0.598631i
\(742\) −2.35329e8 2.84034e8i −0.576054 0.695278i
\(743\) 2.63900e8 0.643389 0.321695 0.946844i \(-0.395748\pi\)
0.321695 + 0.946844i \(0.395748\pi\)
\(744\) 3.40668e7 5.90054e7i 0.0827203 0.143276i
\(745\) −3.37474e8 + 1.94841e8i −0.816153 + 0.471206i
\(746\) −1.21579e7 2.10580e7i −0.0292847 0.0507226i
\(747\) 2.78396e6 + 1.60732e6i 0.00667883 + 0.00385603i
\(748\) 182416.i 0.000435872i
\(749\) −2.86150e8 + 4.86172e7i −0.681002 + 0.115703i
\(750\) 1.19732e8 0.283808
\(751\) 3.68938e8 6.39019e8i 0.871031 1.50867i 0.0100992 0.999949i \(-0.496785\pi\)
0.860932 0.508721i \(-0.169881\pi\)
\(752\) 3.88508e7 2.24305e7i 0.0913579 0.0527455i
\(753\) 3.56770e7 + 6.17945e7i 0.0835611 + 0.144732i
\(754\) 2.75766e8 + 1.59213e8i 0.643318 + 0.371420i
\(755\) 9.38940e7i 0.218171i
\(756\) −5.32229e7 1.97484e7i −0.123178 0.0457054i
\(757\) −1.43307e8 −0.330355 −0.165177 0.986264i \(-0.552820\pi\)
−0.165177 + 0.986264i \(0.552820\pi\)
\(758\) 7.83765e7 1.35752e8i 0.179961 0.311701i
\(759\) 3.79042e6 2.18840e6i 0.00866885 0.00500496i
\(760\) −1.43716e8 2.48924e8i −0.327390 0.567056i
\(761\) −6.67428e8 3.85340e8i −1.51444 0.874360i −0.999857 0.0169164i \(-0.994615\pi\)
−0.514578 0.857443i \(-0.672052\pi\)
\(762\) 1.98179e8i 0.447913i
\(763\) −2.02291e8 + 5.45184e8i −0.455411 + 1.22735i
\(764\) −2.79781e8 −0.627391