# Properties

 Label 21.7.f.a.10.3 Level $21$ Weight $7$ Character 21.10 Analytic conductor $4.831$ Analytic rank $0$ Dimension $8$ CM no Inner twists $2$

# Related objects

## 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 10.3 Root $$-2.75320 - 4.76869i$$ of defining polynomial Character $$\chi$$ $$=$$ 21.10 Dual form 21.7.f.a.19.3

## $q$-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})$$ $$\operatorname{Tr}(f)(q)$$ $$=$$ $$8 q - 5 q^{2} - 108 q^{3} - 173 q^{4} - 294 q^{5} - 656 q^{7} + 3326 q^{8} + 972 q^{9} + O(q^{10})$$ $$8 q - 5 q^{2} - 108 q^{3} - 173 q^{4} - 294 q^{5} - 656 q^{7} + 3326 q^{8} + 972 q^{9} - 3411 q^{10} - 314 q^{11} + 4671 q^{12} - 5360 q^{14} + 5292 q^{15} - 12721 q^{16} - 5532 q^{17} + 1215 q^{18} - 18234 q^{19} + 9342 q^{21} + 86106 q^{22} + 3928 q^{23} - 44901 q^{24} - 17038 q^{25} + 12366 q^{26} + 85037 q^{28} - 8300 q^{29} + 30699 q^{30} - 89508 q^{31} - 186207 q^{32} + 8478 q^{33} - 25860 q^{35} - 84078 q^{36} + 64706 q^{37} - 77136 q^{38} + 29106 q^{39} + 221823 q^{40} + 173583 q^{42} + 45740 q^{43} + 92529 q^{44} - 71442 q^{45} - 111504 q^{46} + 483276 q^{47} - 310684 q^{49} + 967216 q^{50} + 49788 q^{51} - 1673988 q^{52} - 540974 q^{53} - 32805 q^{54} - 241885 q^{56} + 328212 q^{57} + 539799 q^{58} - 181770 q^{59} - 146367 q^{60} + 418224 q^{61} - 92826 q^{63} + 2378626 q^{64} - 414204 q^{65} - 1162431 q^{66} - 1158902 q^{67} - 821250 q^{68} + 1087917 q^{70} + 1442344 q^{71} + 404109 q^{72} - 378666 q^{73} - 432940 q^{74} + 460026 q^{75} + 1065994 q^{77} - 222588 q^{78} + 611452 q^{79} - 2094945 q^{80} - 236196 q^{81} - 1561266 q^{82} - 1579716 q^{84} - 275112 q^{85} + 816224 q^{86} + 112050 q^{87} - 366441 q^{88} - 989196 q^{89} + 304446 q^{91} + 678720 q^{92} + 805572 q^{93} - 716148 q^{94} - 591792 q^{95} + 5027589 q^{96} + 3509629 q^{98} - 152604 q^{99} + O(q^{100})$$

## Character values

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

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

## 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 Display $$a_n$$ with $$n$$ up to: 50 250 1000
$$n$$ $$a_n$$ $$a_n / n^{(k-1)/2}$$ $$\alpha_n$$ $$\theta_n$$
$$p$$ $$a_p$$ $$a_p / p^{(k-1)/2}$$ $$\alpha_p$$ $$\theta_p$$
$$2$$ 2.25320 + 3.90266i 0.281650 + 0.487833i 0.971791 0.235842i $$-0.0757848\pi$$
−0.690141 + 0.723675i $$0.742451\pi$$
$$3$$ −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 −0.268546 0.963267i $$-0.586543\pi$$
0.699941 + 0.714201i $$0.253210\pi$$
$$6$$ 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 −0.869652 0.493664i $$-0.835657\pi$$
0.862352 + 0.506309i $$0.168990\pi$$
$$12$$ −589.846 + 340.548i −0.341346 + 0.197076i
$$13$$ 1642.65i 0.747678i −0.927494 0.373839i $$-0.878041\pi$$
0.927494 0.373839i $$-0.121959\pi$$
$$14$$ 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 0.480946 0.876750i $$-0.340293\pi$$
−0.518815 + 0.854886i $$0.673627\pi$$
$$18$$ −547.529 + 948.347i −0.0938835 + 0.162611i
$$19$$ −8237.53 + 4755.94i −1.20098 + 0.693387i −0.960773 0.277335i $$-0.910549\pi$$
−0.240208 + 0.970722i $$0.577215\pi$$
$$20$$ 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 0.993725 + 0.111852i $$0.0356783\pi$$
−0.399996 + 0.916517i $$0.630988\pi$$
$$24$$ −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 0.363349 0.931653i $$-0.381633\pi$$
−0.625161 + 0.780496i $$0.714967\pi$$
$$32$$ 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 0.981919 0.189301i $$-0.0606221\pi$$
−0.654899 + 0.755717i $$0.727289\pi$$
$$38$$ −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 $$0.179598\pi$$
−0.845004 + 0.534760i $$0.820402\pi$$
$$42$$ −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 −0.774579 0.632477i $$-0.782038\pi$$
0.160452 + 0.987044i $$0.448705\pi$$
$$48$$ 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 0.117216 + 0.993106i $$0.462603\pi$$
−0.918664 + 0.395041i $$0.870730\pi$$
$$54$$ 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 −0.385221 0.922824i $$-0.625875\pi$$
−0.991800 + 0.127801i $$0.959208\pi$$
$$60$$ −21204.7 + 36727.6i −0.0981700 + 0.170035i
$$61$$ 350517. 202371.i 1.54426 0.891578i 0.545696 0.837983i $$-0.316265\pi$$
0.998563 0.0535954i $$-0.0170681\pi$$
$$62$$ 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 −0.988884 0.148687i $$-0.952495\pi$$
0.623209 + 0.782056i $$0.285829\pi$$
$$68$$ −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 0.258501 0.966011i $$-0.416771\pi$$
−0.707339 + 0.706874i $$0.750105\pi$$
$$74$$ −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 0.592782 0.805363i $$-0.298030\pi$$
−0.993856 + 0.110682i $$0.964696\pi$$
$$80$$ −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 $$-0.996318\pi$$
0.999933 0.0115681i $$-0.00368232\pi$$
$$84$$ −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 −0.634751 0.772717i $$-0.718897\pi$$
0.351817 + 0.936069i $$0.385564\pi$$
$$90$$ 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 $$0.118232\pi$$
−0.931807 + 0.362954i $$0.881768\pi$$
$$98$$ 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 0.995106 + 0.0988126i $$0.0315044\pi$$
0.583127 + 0.812381i $$0.301829\pi$$
$$102$$ −7545.91 + 13069.9i −0.00711068 + 0.0123161i
$$103$$ 782887. 452000.i 0.716452 0.413644i −0.0969931 0.995285i $$-0.530922\pi$$
0.813446 + 0.581641i $$0.197589\pi$$
$$104$$ 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 0.640042 0.768340i $$-0.278917\pi$$
−0.985423 + 0.170123i $$0.945584\pi$$
$$108$$ −143333. 82753.1i −0.113782 0.0656921i
$$109$$ 847674. 1.46821e6i 0.654560 1.13373i −0.327444 0.944871i $$-0.606187\pi$$
0.982004 0.188861i $$-0.0604794\pi$$
$$110$$ −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 −0.794333 + 0.607482i $$0.792180\pi$$
−0.923262 + 0.384171i $$0.874487\pi$$
$$132$$ 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 −0.964252 0.264989i $$-0.914632\pi$$
0.711613 + 0.702572i $$0.247965\pi$$
$$138$$ 878954. 507464.i 0.334448 0.193094i
$$139$$ 119566.i 0.0445207i 0.999752 + 0.0222603i $$0.00708627\pi$$
−0.999752 + 0.0222603i $$0.992914\pi$$
$$140$$ −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 −0.753845 0.657052i $$-0.771803\pi$$
−0.192101 0.981375i $$-0.561530\pi$$
$$150$$ 714700. + 412632.i 0.211763 + 0.122261i
$$151$$ 753969. 1.30591e6i 0.218989 0.379300i −0.735510 0.677514i $$-0.763057\pi$$
0.954499 + 0.298213i $$0.0963907\pi$$
$$152$$ −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 0.751118 0.660169i $$-0.229515\pi$$
−0.196164 + 0.980571i $$0.562848\pi$$
$$158$$ 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 −0.942407 0.334468i $$-0.891444\pi$$
0.181546 0.983382i $$-0.441890\pi$$
$$164$$ 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 $$0.198941\pi$$
−0.810969 + 0.585089i $$0.801059\pi$$
$$168$$ −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 −0.250955 0.967999i $$-0.580745\pi$$
0.712834 + 0.701333i $$0.247411\pi$$
$$174$$ 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 −0.793861 0.608099i $$-0.791932\pi$$
0.923560 + 0.383455i $$0.125266\pi$$
$$180$$ 572527. 330549.i 0.0981700 0.0566785i
$$181$$ 6.01679e6i 1.01468i −0.861746 0.507340i $$-0.830629\pi$$
0.861746 0.507340i $$-0.169371\pi$$
$$182$$ 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 0.539437 0.842026i $$-0.318637\pi$$
−0.998934 + 0.0461527i $$0.985304\pi$$
$$192$$ −1.53015e6 883431.i −0.216187 0.124816i
$$193$$ −4.92592e6 + 8.53194e6i −0.685197 + 1.18680i 0.288178 + 0.957577i $$0.406951\pi$$
−0.973375 + 0.229219i $$0.926383\pi$$
$$194$$ −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 −0.901464 0.432854i $$-0.857507\pi$$
−0.825594 0.564264i $$-0.809160\pi$$
$$200$$ −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 $$-0.947618\pi$$
0.986490 0.163821i $$-0.0523820\pi$$
$$224$$ −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 0.703398 0.710796i $$-0.251665\pi$$
−0.263869 + 0.964559i $$0.584999\pi$$
$$228$$ 3.23925e6 5.61054e6i 0.273300 0.473370i
$$229$$ 1.05964e7 6.11784e6i 0.882373 0.509438i 0.0109329 0.999940i $$-0.496520\pi$$
0.871440 + 0.490502i $$0.163187\pi$$
$$230$$ 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 0.520600 0.853801i $$-0.325708\pi$$
−0.999713 + 0.0239524i $$0.992375\pi$$
$$234$$ 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 0.159367 0.987219i $$-0.449055\pi$$
−0.775274 + 0.631625i $$0.782388\pi$$
$$242$$ −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 $$0.0462320\pi$$
−0.989471 + 0.144732i $$0.953768\pi$$
$$252$$ 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 −0.599657 0.800257i $$-0.704696\pi$$
0.393214 + 0.919447i $$0.371363\pi$$
$$258$$ 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 0.0932094 + 0.995647i $$0.470287\pi$$
−0.908860 + 0.417102i $$0.863046\pi$$
$$264$$ 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 −0.0300997 0.999547i $$-0.509582\pi$$
−0.880683 + 0.473706i $$0.842916\pi$$
$$270$$ 531452. 920503.i 0.0270006 0.0467664i
$$271$$ 2.19287e6 1.26606e6i 0.110181 0.0636128i −0.443897 0.896078i $$-0.646404\pi$$
0.554078 + 0.832465i $$0.313071\pi$$
$$272$$ 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 0.242077 + 0.970257i $$0.422171\pi$$
−0.961306 + 0.275484i $$0.911162\pi$$
$$278$$ −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 0.996636 + 0.0819595i $$0.0261178\pi$$
0.569297 + 0.822132i $$0.307216\pi$$
$$284$$ 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 $$-0.801068\pi$$
0.810984 0.585069i $$-0.198932\pi$$
$$294$$ −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 $$-0.974268\pi$$
0.996734 0.0807506i $$-0.0257317\pi$$
$$308$$ 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 0.884335 0.466853i $$-0.154612\pi$$
0.0378610 + 0.999283i $$0.487946\pi$$
$$312$$ −6.21345e6 + 1.07620e7i −0.204583 + 0.354348i
$$313$$ 1.88804e7 1.09006e7i 0.615714 0.355483i −0.159484 0.987200i $$-0.550983\pi$$
0.775199 + 0.631718i $$0.217650\pi$$
$$314$$ 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 0.771527 0.636196i $$-0.219493\pi$$
−0.936726 + 0.350064i $$0.886160\pi$$
$$318$$ 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 −0.997403 0.0720239i $$-0.977054\pi$$
0.436327 0.899788i $$-0.356279\pi$$
$$332$$ −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 −0.749962 0.661481i $$-0.769928\pi$$
0.947840 + 0.318745i $$0.103262\pi$$
$$348$$ −2.53731e7 + 1.46491e7i −0.602054 + 0.347596i
$$349$$ 5.07209e6i 0.119319i −0.998219 0.0596597i $$-0.980998\pi$$
0.998219 0.0596597i $$-0.0190015\pi$$
$$350$$ −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 −0.0204200 0.999791i $$-0.506500\pi$$
−0.876055 + 0.482211i $$0.839834\pi$$
$$354$$ −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 0.997083 0.0763210i $$-0.0243174\pi$$
−0.564638 + 0.825339i $$0.690984\pi$$
$$360$$ 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 0.647380 0.762168i $$-0.275865\pi$$
−0.336367 + 0.941731i $$0.609198\pi$$
$$368$$ 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 0.890848 0.454301i $$-0.150111\pi$$
−0.838860 + 0.544346i $$0.816778\pi$$
$$374$$ 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 −0.868068 0.496445i $$-0.834638\pi$$
−0.00409994 + 0.999992i $$0.501305\pi$$
$$384$$ 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 −0.734171 0.678964i $$-0.762429\pi$$
0.955086 + 0.296329i $$0.0957624\pi$$
$$390$$ −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 −0.591350 0.806415i $$-0.701405\pi$$
0.402701 + 0.915331i $$0.368071\pi$$
$$398$$ 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 0.978711 0.205244i $$-0.0657988\pi$$
−0.667102 + 0.744966i $$0.732465\pi$$
$$402$$ 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 0.547144 0.837038i $$-0.315715\pi$$
−0.451325 + 0.892360i $$0.649048\pi$$
$$410$$ −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 $$0.0681125\pi$$
−0.977193 + 0.212353i $$0.931887\pi$$
$$420$$ 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 0.391194 + 0.920308i $$0.372062\pi$$
−0.992607 + 0.121371i $$0.961271\pi$$
$$432$$ −1.99888e6 + 1.15406e6i −0.0247934 + 0.0143145i
$$433$$ 1.11186e8i 1.36958i 0.728741 + 0.684790i $$0.240106\pi$$
−0.728741 + 0.684790i $$0.759894\pi$$
$$434$$ −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 −0.888190 0.459476i $$-0.848037\pi$$
−0.0461770 + 0.998933i $$0.514704\pi$$
$$440$$ 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 0.990986 + 0.133963i $$0.0427705\pi$$
−0.379477 + 0.925201i $$0.623896\pi$$
$$444$$ −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 0.811929 0.583757i $$-0.198418\pi$$
−0.911512 + 0.411272i $$0.865084\pi$$
$$458$$ 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 $$0.181380\pi$$
−0.841996 + 0.539483i $$0.818620\pi$$
$$462$$ 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 0.470423 0.882441i $$-0.344101\pi$$
0.999428 + 0.0338227i $$0.0107681\pi$$
$$468$$ 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 0.385939 0.922524i $$-0.373878\pi$$
−0.605960 + 0.795495i $$0.707211\pi$$
$$480$$ −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 −0.958608 0.284731i $$-0.908096\pi$$
0.725888 + 0.687813i $$0.241429\pi$$
$$488$$ 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 0.855733 0.517418i $$-0.173107\pi$$
−0.875964 + 0.482377i $$0.839774\pi$$
$$500$$ 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 $$-0.807041\pi$$
0.821820 0.569747i $$-0.192959\pi$$
$$504$$ 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 −0.455989 0.889985i $$-0.650714\pi$$
0.542755 + 0.839891i $$0.317381\pi$$
$$510$$ 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 0.243980 0.969780i $$-0.421547\pi$$
−0.717864 + 0.696183i $$0.754880\pi$$
$$522$$ −2.35527e7 + 4.07945e7i −0.165588 + 0.286807i
$$523$$ −1.16424e8 + 6.72177e7i −0.813840 + 0.469871i −0.848288 0.529536i $$-0.822366\pi$$
0.0344475 + 0.999407i $$0.489033\pi$$
$$524$$ 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 0.999577 0.0290960i $$-0.00926284\pi$$
−0.524986 + 0.851111i $$0.675930\pi$$
$$542$$ 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 −0.221151 0.975240i $$-0.570981\pi$$
0.955158 0.296097i $$-0.0956852\pi$$
$$558$$ 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 0.844950 0.534845i $$-0.179630\pi$$
−0.0407139 + 0.999171i $$0.512963\pi$$
$$564$$ 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 0.552996 0.833184i $$-0.313485\pi$$
−0.998056 + 0.0623160i $$0.980151\pi$$
$$570$$ 3.60317e7 + 2.08029e7i 0.194563 + 0.112331i
$$571$$ 1.70285e8 2.94942e8i 0.914677 1.58427i 0.107305 0.994226i $$-0.465778\pi$$
0.807373 0.590042i $$-0.200889\pi$$
$$572$$ 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 0.967930 0.251220i $$-0.0808317\pi$$
0.266402 + 0.963862i $$0.414165\pi$$
$$578$$ 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 $$-0.738220\pi$$
0.680460 0.732785i $$-0.261780\pi$$
$$588$$ 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 −0.744930 0.667142i $$-0.767517\pi$$
0.205297 + 0.978700i $$0.434184\pi$$
$$594$$ 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 −0.763237 0.646119i $$-0.776391\pi$$
0.941174 + 0.337923i $$0.109724\pi$$
$$600$$ 7.69677e7 4.44373e7i 0.356332 0.205728i
$$601$$ 1.12466e8i 0.518080i 0.965867 + 0.259040i $$0.0834061\pi$$
−0.965867 + 0.259040i $$0.916594\pi$$
$$602$$ 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 −0.508986 0.860775i $$-0.669980\pi$$
0.490960 + 0.871182i $$0.336646\pi$$
$$608$$ 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 −0.551984 0.833854i $$-0.686129\pi$$
0.998131 + 0.0611054i $$0.0194626\pi$$
$$614$$ 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 0.651521 0.758631i $$-0.274131\pi$$
−0.331233 + 0.943549i $$0.607465\pi$$
$$620$$ −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 −0.984653 0.174521i $$-0.944162\pi$$
0.643466 + 0.765474i $$0.277496\pi$$
$$642$$ −5.14806e7 + 2.97223e7i −0.194553 + 0.112325i
$$643$$ 8.10561e7i 0.304897i −0.988311 0.152448i $$-0.951284\pi$$
0.988311 0.152448i $$-0.0487158\pi$$
$$644$$ 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 0.657884 0.753119i $$-0.271452\pi$$
−0.323278 + 0.946304i $$0.604785\pi$$
$$648$$ −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 −0.882808 0.469734i $$-0.844350\pi$$
0.0346020 0.999401i $$-0.488984\pi$$
$$654$$ −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 0.466396 0.884576i $$-0.345552\pi$$
−0.532868 + 0.846199i $$0.678886\pi$$
$$662$$ 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 −0.846833 0.531859i $$-0.821494\pi$$
0.0371872 + 0.999308i $$0.488160\pi$$
$$678$$ 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 −0.942256 0.334893i $$-0.891300\pi$$
0.761154 + 0.648571i $$0.224633\pi$$
$$684$$ −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 0.155712 0.987802i $$-0.450233\pi$$
0.933318 + 0.359051i $$0.116899\pi$$
$$692$$ 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 0.538281 0.842766i $$-0.319074\pi$$
−0.998997 + 0.0447818i $$0.985741\pi$$
$$710$$ 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 −0.362391 0.932026i $$-0.618039\pi$$
0.625963 + 0.779853i $$0.284706\pi$$
$$720$$ 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 $$-0.958556\pi$$
0.991536 0.129833i $$-0.0414440\pi$$
$$728$$ −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 −0.0452931 0.998974i $$-0.514422\pi$$
0.842490 + 0.538712i $$0.181089\pi$$
$$734$$ 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 −0.711290 0.702899i $$-0.751889\pi$$
0.964373 + 0.264546i $$0.0852221\pi$$
$$740$$ 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 0.860932 + 0.508721i $$0.169881\pi$$
0.0100992 + 0.999949i $$0.496785\pi$$
$$752$$ 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 −0.514578 + 0.857443i $$0.672052\pi$$
−0.999857 + 0.0169164i $$0.994615\pi$$
$$762$$ 1.98179e8i 0.447913i
$$763$$ −2.02291e8 5.45184e8i −0.455411 1.22735i
$$764$$ −2.79781e8 −0.627391