# Properties

 Label 71.10.g.a.2.7 Level $71$ Weight $10$ Character 71.2 Analytic conductor $36.568$ Analytic rank $0$ Dimension $1272$ CM no Inner twists $2$

# Related objects

Show commands: Magma / PariGP / SageMath

## Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [71,10,Mod(2,71)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(71, base_ring=CyclotomicField(70))

chi = DirichletCharacter(H, H._module([6]))

N = Newforms(chi, 10, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("71.2");

S:= CuspForms(chi, 10);

N := Newforms(S);

 Level: $$N$$ $$=$$ $$71$$ Weight: $$k$$ $$=$$ $$10$$ Character orbit: $$[\chi]$$ $$=$$ 71.g (of order $$35$$, degree $$24$$, minimal)

## Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

 Self dual: no Analytic conductor: $$36.5675443676$$ Analytic rank: $$0$$ Dimension: $$1272$$ Relative dimension: $$53$$ over $$\Q(\zeta_{35})$$ Twist minimal: yes Sato-Tate group: $\mathrm{SU}(2)[C_{35}]$

## Embedding invariants

 Embedding label 2.7 Character $$\chi$$ $$=$$ 71.2 Dual form 71.10.g.a.36.7

## $q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

 $$f(q)$$ $$=$$ $$q+(-1.68601 + 37.5420i) q^{2} +(77.6854 + 67.8717i) q^{3} +(-896.623 - 80.6975i) q^{4} +(226.028 + 695.642i) q^{5} +(-2679.02 + 2802.03i) q^{6} +(-2823.28 - 779.175i) q^{7} +(1958.50 - 14458.2i) q^{8} +(-1213.66 - 8959.59i) q^{9} +O(q^{10})$$ $$q+(-1.68601 + 37.5420i) q^{2} +(77.6854 + 67.8717i) q^{3} +(-896.623 - 80.6975i) q^{4} +(226.028 + 695.642i) q^{5} +(-2679.02 + 2802.03i) q^{6} +(-2823.28 - 779.175i) q^{7} +(1958.50 - 14458.2i) q^{8} +(-1213.66 - 8959.59i) q^{9} +(-26496.9 + 7312.68i) q^{10} +(43381.1 - 80615.6i) q^{11} +(-64177.4 - 67124.3i) q^{12} +(18035.5 + 33515.5i) q^{13} +(34011.9 - 104678. i) q^{14} +(-29655.3 + 69382.1i) q^{15} +(85969.9 + 15601.2i) q^{16} +(-310945. - 225915. i) q^{17} +(338408. - 30457.2i) q^{18} +(87763.9 + 205334. i) q^{19} +(-146525. - 641969. i) q^{20} +(-166443. - 252151. i) q^{21} +(2.95333e6 + 1.76453e6i) q^{22} +(-1.44632e6 - 1.81362e6i) q^{23} +(1.13345e6 - 990266. i) q^{24} +(1.14728e6 - 833549. i) q^{25} +(-1.28865e6 + 620580. i) q^{26} +(1.63239e6 - 2.47297e6i) q^{27} +(2.46854e6 + 926458. i) q^{28} +(4.62674e6 - 2.76435e6i) q^{29} +(-2.55475e6 - 1.23030e6i) q^{30} +(-1.19952e6 + 217681. i) q^{31} +(931631. - 4.08174e6i) q^{32} +(8.84159e6 - 3.31830e6i) q^{33} +(9.00557e6 - 1.12926e7i) q^{34} +(-96112.3 - 2.14011e6i) q^{35} +(365178. + 8.13132e6i) q^{36} +(-1.34500e7 + 1.68657e7i) q^{37} +(-7.85662e6 + 2.94864e6i) q^{38} +(-873661. + 3.82776e6i) q^{39} +(1.05004e7 - 1.90555e6i) q^{40} +(-1.26496e7 - 6.09172e6i) q^{41} +(9.74689e6 - 5.82349e6i) q^{42} +(1.15810e6 + 434641. i) q^{43} +(-4.54019e7 + 6.87810e7i) q^{44} +(5.95835e6 - 2.86939e6i) q^{45} +(7.05256e7 - 5.12398e7i) q^{46} +(-3.61711e7 + 3.16017e7i) q^{47} +(5.61972e6 + 7.04690e6i) q^{48} +(-2.72777e7 - 1.62977e7i) q^{49} +(2.93588e7 + 4.44767e7i) q^{50} +(-8.82268e6 - 3.86547e7i) q^{51} +(-1.34664e7 - 3.15062e7i) q^{52} +(3.61605e7 - 3.25450e6i) q^{53} +(9.00881e7 + 6.54528e7i) q^{54} +(6.58849e7 + 1.19564e7i) q^{55} +(-1.67949e7 + 3.92936e7i) q^{56} +(-7.11838e6 + 2.19081e7i) q^{57} +(9.59786e7 + 1.78358e8i) q^{58} +(8.80299e7 + 9.20720e7i) q^{59} +(3.21886e7 - 5.98165e7i) q^{60} +(-1.10897e8 + 3.06057e7i) q^{61} +(-6.14977e6 - 4.53994e7i) q^{62} +(-3.55460e6 + 2.62411e7i) q^{63} +(1.94790e8 + 5.37585e7i) q^{64} +(-1.92383e7 + 2.01217e7i) q^{65} +(1.09669e8 + 3.37526e8i) q^{66} +(-1.22168e8 - 1.09953e7i) q^{67} +(2.60570e8 + 2.27653e8i) q^{68} +(1.07360e7 - 2.39056e8i) q^{69} +8.05060e7 q^{70} +(1.28148e6 - 2.14119e8i) q^{71} -1.31917e8 q^{72} +(1.63211e7 - 3.63418e8i) q^{73} +(-6.10496e8 - 5.33375e8i) q^{74} +(1.45701e8 + 1.31134e7i) q^{75} +(-6.21212e7 - 1.91189e8i) q^{76} +(-1.85291e8 + 1.93799e8i) q^{77} +(-1.42229e8 - 3.92527e7i) q^{78} +(-7.38601e7 + 5.45257e8i) q^{79} +(8.57871e6 + 6.33306e7i) q^{80} +(1.23109e8 - 3.39758e7i) q^{81} +(2.50023e8 - 4.64620e8i) q^{82} +(-3.33262e8 - 3.48564e8i) q^{83} +(1.28889e8 + 2.39516e8i) q^{84} +(8.68738e7 - 2.67370e8i) q^{85} +(-1.82699e7 + 4.27445e7i) q^{86} +(5.47051e8 + 9.92751e7i) q^{87} +(-1.08060e9 - 7.85099e8i) q^{88} +(6.86507e8 - 6.17867e7i) q^{89} +(9.76769e7 + 2.28527e8i) q^{90} +(-2.48047e7 - 1.08676e8i) q^{91} +(1.15044e9 + 1.74285e9i) q^{92} +(-1.07959e8 - 6.45028e7i) q^{93} +(-1.12541e9 - 1.41122e9i) q^{94} +(-1.23002e8 + 1.07464e8i) q^{95} +(3.49409e8 - 2.53860e8i) q^{96} +(7.95366e8 - 3.83028e8i) q^{97} +(6.57839e8 - 9.96583e8i) q^{98} +(-7.74933e8 - 2.90837e8i) q^{99} +O(q^{100})$$ $$\operatorname{Tr}(f)(q)$$ $$=$$ $$1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9}+O(q^{10})$$ 1272 * q - 76 * q^2 - 395 * q^3 + 13542 * q^4 - 1610 * q^5 - 4334 * q^6 - 4827 * q^7 - 18627 * q^8 + 286810 * q^9 $$1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9} - 53448 q^{10} - 170685 q^{11} + 138323 q^{12} - 93291 q^{13} + 985964 q^{14} - 966194 q^{15} + 4755334 q^{16} + 2558412 q^{17} - 2619769 q^{18} - 172269 q^{19} + 738120 q^{20} + 1797929 q^{21} + 3015622 q^{22} + 6635088 q^{23} + 4803145 q^{24} - 115100016 q^{25} + 19254293 q^{26} - 17686931 q^{27} + 15761532 q^{28} - 10052927 q^{29} + 62637435 q^{30} - 23748991 q^{31} + 10388192 q^{32} - 15097203 q^{33} + 33217854 q^{34} - 24823174 q^{35} + 27856812 q^{36} - 27156308 q^{37} - 43400577 q^{38} + 251072838 q^{39} - 129856160 q^{40} + 62087988 q^{41} - 91873950 q^{42} - 167299067 q^{43} + 60914131 q^{44} - 31536191 q^{45} - 50201490 q^{46} - 23317743 q^{47} + 10641329 q^{48} + 338745866 q^{49} + 303770229 q^{50} + 448039613 q^{51} - 979580293 q^{52} + 12085215 q^{53} - 182583505 q^{54} - 243892552 q^{55} + 30440435 q^{56} + 714581966 q^{57} - 244549660 q^{58} - 859013315 q^{59} - 1894499000 q^{60} - 876373921 q^{61} + 186553636 q^{62} - 196611021 q^{63} + 5528242635 q^{64} + 867018244 q^{65} + 2727701199 q^{66} - 286780089 q^{67} - 1689988351 q^{68} - 3073308182 q^{69} - 41489396 q^{70} - 2538053548 q^{71} - 6821388000 q^{72} + 128479023 q^{73} + 3282772334 q^{74} + 3407782757 q^{75} + 7133788844 q^{76} + 1087098389 q^{77} + 2715049934 q^{78} + 144243625 q^{79} - 7443877603 q^{80} - 4083269278 q^{81} - 10375744380 q^{82} + 1543773955 q^{83} - 4117054288 q^{84} + 7843382686 q^{85} + 3545751759 q^{86} + 5261609811 q^{87} - 818728797 q^{88} - 1369081479 q^{89} + 10041256259 q^{90} - 7299574322 q^{91} + 602797624 q^{92} - 2146129677 q^{93} - 683447510 q^{94} - 7007204038 q^{95} + 6601829126 q^{96} - 10081488030 q^{97} - 5942379880 q^{98} - 4074592265 q^{99}+O(q^{100})$$ 1272 * q - 76 * q^2 - 395 * q^3 + 13542 * q^4 - 1610 * q^5 - 4334 * q^6 - 4827 * q^7 - 18627 * q^8 + 286810 * q^9 - 53448 * q^10 - 170685 * q^11 + 138323 * q^12 - 93291 * q^13 + 985964 * q^14 - 966194 * q^15 + 4755334 * q^16 + 2558412 * q^17 - 2619769 * q^18 - 172269 * q^19 + 738120 * q^20 + 1797929 * q^21 + 3015622 * q^22 + 6635088 * q^23 + 4803145 * q^24 - 115100016 * q^25 + 19254293 * q^26 - 17686931 * q^27 + 15761532 * q^28 - 10052927 * q^29 + 62637435 * q^30 - 23748991 * q^31 + 10388192 * q^32 - 15097203 * q^33 + 33217854 * q^34 - 24823174 * q^35 + 27856812 * q^36 - 27156308 * q^37 - 43400577 * q^38 + 251072838 * q^39 - 129856160 * q^40 + 62087988 * q^41 - 91873950 * q^42 - 167299067 * q^43 + 60914131 * q^44 - 31536191 * q^45 - 50201490 * q^46 - 23317743 * q^47 + 10641329 * q^48 + 338745866 * q^49 + 303770229 * q^50 + 448039613 * q^51 - 979580293 * q^52 + 12085215 * q^53 - 182583505 * q^54 - 243892552 * q^55 + 30440435 * q^56 + 714581966 * q^57 - 244549660 * q^58 - 859013315 * q^59 - 1894499000 * q^60 - 876373921 * q^61 + 186553636 * q^62 - 196611021 * q^63 + 5528242635 * q^64 + 867018244 * q^65 + 2727701199 * q^66 - 286780089 * q^67 - 1689988351 * q^68 - 3073308182 * q^69 - 41489396 * q^70 - 2538053548 * q^71 - 6821388000 * q^72 + 128479023 * q^73 + 3282772334 * q^74 + 3407782757 * q^75 + 7133788844 * q^76 + 1087098389 * q^77 + 2715049934 * q^78 + 144243625 * q^79 - 7443877603 * q^80 - 4083269278 * q^81 - 10375744380 * q^82 + 1543773955 * q^83 - 4117054288 * q^84 + 7843382686 * q^85 + 3545751759 * q^86 + 5261609811 * q^87 - 818728797 * q^88 - 1369081479 * q^89 + 10041256259 * q^90 - 7299574322 * q^91 + 602797624 * q^92 - 2146129677 * q^93 - 683447510 * q^94 - 7007204038 * q^95 + 6601829126 * q^96 - 10081488030 * q^97 - 5942379880 * q^98 - 4074592265 * q^99

## Character values

We give the values of $$\chi$$ on generators for $$\left(\mathbb{Z}/71\mathbb{Z}\right)^\times$$.

 $$n$$ $$7$$ $$\chi(n)$$ $$e\left(\frac{3}{35}\right)$$

## 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
$$n$$ $$a_n$$ $$a_n / n^{(k-1)/2}$$ $$\alpha_n$$ $$\theta_n$$
$$p$$ $$a_p$$ $$a_p / p^{(k-1)/2}$$ $$\alpha_p$$ $$\theta_p$$
$$2$$ −1.68601 + 37.5420i −0.0745120 + 1.65914i 0.519342 + 0.854566i $$0.326177\pi$$
−0.593854 + 0.804573i $$0.702394\pi$$
$$3$$ 77.6854 + 67.8717i 0.553724 + 0.483774i 0.888723 0.458444i $$-0.151593\pi$$
−0.334999 + 0.942219i $$0.608736\pi$$
$$4$$ −896.623 80.6975i −1.75122 0.157612i
$$5$$ 226.028 + 695.642i 0.161732 + 0.497761i 0.998781 0.0493679i $$-0.0157207\pi$$
−0.837048 + 0.547129i $$0.815721\pi$$
$$6$$ −2679.02 + 2802.03i −0.843908 + 0.882659i
$$7$$ −2823.28 779.175i −0.444439 0.122657i 0.0366518 0.999328i $$-0.488331\pi$$
−0.481091 + 0.876671i $$0.659759\pi$$
$$8$$ 1958.50 14458.2i 0.169051 1.24799i
$$9$$ −1213.66 8959.59i −0.0616603 0.455195i
$$10$$ −26496.9 + 7312.68i −0.837906 + 0.231247i
$$11$$ 43381.1 80615.6i 0.893374 1.66017i 0.152732 0.988268i $$-0.451193\pi$$
0.740642 0.671900i $$-0.234521\pi$$
$$12$$ −64177.4 67124.3i −0.893442 0.934467i
$$13$$ 18035.5 + 33515.5i 0.175139 + 0.325462i 0.952998 0.302976i $$-0.0979802\pi$$
−0.777860 + 0.628438i $$0.783695\pi$$
$$14$$ 34011.9 104678.i 0.236622 0.728247i
$$15$$ −29655.3 + 69382.1i −0.151249 + 0.353864i
$$16$$ 85969.9 + 15601.2i 0.327949 + 0.0595140i
$$17$$ −310945. 225915.i −0.902951 0.656032i 0.0362716 0.999342i $$-0.488452\pi$$
−0.939222 + 0.343310i $$0.888452\pi$$
$$18$$ 338408. 30457.2i 0.759826 0.0683855i
$$19$$ 87763.9 + 205334.i 0.154499 + 0.361468i 0.978841 0.204625i $$-0.0655974\pi$$
−0.824342 + 0.566092i $$0.808455\pi$$
$$20$$ −146525. 641969.i −0.204775 0.897179i
$$21$$ −166443. 252151.i −0.186758 0.282927i
$$22$$ 2.95333e6 + 1.76453e6i 2.68788 + 1.60593i
$$23$$ −1.44632e6 1.81362e6i −1.07768 1.35136i −0.932177 0.362004i $$-0.882093\pi$$
−0.145499 0.989358i $$-0.546479\pi$$
$$24$$ 1.13345e6 990266.i 0.697352 0.609258i
$$25$$ 1.14728e6 833549.i 0.587408 0.426777i
$$26$$ −1.28865e6 + 620580.i −0.553037 + 0.266329i
$$27$$ 1.63239e6 2.47297e6i 0.591136 0.895534i
$$28$$ 2.46854e6 + 926458.i 0.758977 + 0.284849i
$$29$$ 4.62674e6 2.76435e6i 1.21474 0.725775i 0.244910 0.969546i $$-0.421242\pi$$
0.969833 + 0.243771i $$0.0783845\pi$$
$$30$$ −2.55475e6 1.23030e6i −0.575841 0.277310i
$$31$$ −1.19952e6 + 217681.i −0.233281 + 0.0423343i −0.293938 0.955824i $$-0.594966\pi$$
0.0606572 + 0.998159i $$0.480680\pi$$
$$32$$ 931631. 4.08174e6i 0.157061 0.688131i
$$33$$ 8.84159e6 3.31830e6i 1.29783 0.487083i
$$34$$ 9.00557e6 1.12926e7i 1.15573 1.44924i
$$35$$ −96112.3 2.14011e6i −0.0108261 0.241062i
$$36$$ 365178. + 8.13132e6i 0.0362362 + 0.806863i
$$37$$ −1.34500e7 + 1.68657e7i −1.17981 + 1.47944i −0.336774 + 0.941585i $$0.609336\pi$$
−0.843039 + 0.537853i $$0.819236\pi$$
$$38$$ −7.85662e6 + 2.94864e6i −0.611237 + 0.229401i
$$39$$ −873661. + 3.82776e6i −0.0604717 + 0.264944i
$$40$$ 1.05004e7 1.90555e6i 0.648540 0.117693i
$$41$$ −1.26496e7 6.09172e6i −0.699115 0.336676i 0.0503392 0.998732i $$-0.483970\pi$$
−0.749454 + 0.662056i $$0.769684\pi$$
$$42$$ 9.74689e6 5.82349e6i 0.483331 0.288777i
$$43$$ 1.15810e6 + 434641.i 0.0516579 + 0.0193875i 0.377070 0.926185i $$-0.376932\pi$$
−0.325412 + 0.945572i $$0.605503\pi$$
$$44$$ −4.54019e7 + 6.87810e7i −1.82615 + 2.76651i
$$45$$ 5.95835e6 2.86939e6i 0.216606 0.104312i
$$46$$ 7.05256e7 5.12398e7i 2.32240 1.68732i
$$47$$ −3.61711e7 + 3.16017e7i −1.08124 + 0.944648i −0.998650 0.0519357i $$-0.983461\pi$$
−0.0825865 + 0.996584i $$0.526318\pi$$
$$48$$ 5.61972e6 + 7.04690e6i 0.152802 + 0.191608i
$$49$$ −2.72777e7 1.62977e7i −0.675967 0.403872i
$$50$$ 2.93588e7 + 4.44767e7i 0.664313 + 1.00639i
$$51$$ −8.82268e6 3.86547e7i −0.182614 0.800085i
$$52$$ −1.34664e7 3.15062e7i −0.255409 0.597559i
$$53$$ 3.61605e7 3.25450e6i 0.629496 0.0566557i 0.229702 0.973261i $$-0.426225\pi$$
0.399793 + 0.916605i $$0.369082\pi$$
$$54$$ 9.00881e7 + 6.54528e7i 1.44177 + 1.04751i
$$55$$ 6.58849e7 + 1.19564e7i 0.970854 + 0.176184i
$$56$$ −1.67949e7 + 3.92936e7i −0.228208 + 0.533919i
$$57$$ −7.11838e6 + 2.19081e7i −0.0893191 + 0.274896i
$$58$$ 9.59786e7 + 1.78358e8i 1.11365 + 2.06951i
$$59$$ 8.80299e7 + 9.20720e7i 0.945793 + 0.989222i 0.999957 0.00931013i $$-0.00296355\pi$$
−0.0541636 + 0.998532i $$0.517249\pi$$
$$60$$ 3.21886e7 5.98165e7i 0.320643 0.595855i
$$61$$ −1.10897e8 + 3.06057e7i −1.02550 + 0.283020i −0.738029 0.674769i $$-0.764243\pi$$
−0.287472 + 0.957789i $$0.592815\pi$$
$$62$$ −6.14977e6 4.53994e7i −0.0528562 0.390200i
$$63$$ −3.55460e6 + 2.62411e7i −0.0284287 + 0.209869i
$$64$$ 1.94790e8 + 5.37585e7i 1.45130 + 0.400532i
$$65$$ −1.92383e7 + 2.01217e7i −0.133677 + 0.139815i
$$66$$ 1.09669e8 + 3.37526e8i 0.711435 + 2.18957i
$$67$$ −1.22168e8 1.09953e7i −0.740663 0.0666609i −0.287119 0.957895i $$-0.592698\pi$$
−0.453544 + 0.891234i $$0.649840\pi$$
$$68$$ 2.60570e8 + 2.27653e8i 1.47786 + 1.29117i
$$69$$ 1.07360e7 2.39056e8i 0.0570193 1.26963i
$$70$$ 8.05060e7 0.400763
$$71$$ 1.28148e6 2.14119e8i 0.00598478 0.999982i
$$72$$ −1.31917e8 −0.578500
$$73$$ 1.63211e7 3.63418e8i 0.0672663 1.49780i −0.627529 0.778593i $$-0.715934\pi$$
0.694796 0.719207i $$-0.255495\pi$$
$$74$$ −6.10496e8 5.33375e8i −2.36668 2.06771i
$$75$$ 1.45701e8 + 1.31134e7i 0.531726 + 0.0478562i
$$76$$ −6.21212e7 1.91189e8i −0.213589 0.657359i
$$77$$ −1.85291e8 + 1.93799e8i −0.600682 + 0.628265i
$$78$$ −1.42229e8 3.92527e7i −0.435073 0.120072i
$$79$$ −7.38601e7 + 5.45257e8i −0.213348 + 1.57500i 0.494847 + 0.868980i $$0.335224\pi$$
−0.708195 + 0.706017i $$0.750490\pi$$
$$80$$ 8.57871e6 + 6.33306e7i 0.0234162 + 0.172866i
$$81$$ 1.23109e8 3.39758e7i 0.317765 0.0876975i
$$82$$ 2.50023e8 4.64620e8i 0.610685 1.13484i
$$83$$ −3.33262e8 3.48564e8i −0.770786 0.806179i 0.214566 0.976709i $$-0.431166\pi$$
−0.985352 + 0.170530i $$0.945452\pi$$
$$84$$ 1.28889e8 + 2.39516e8i 0.282461 + 0.524901i
$$85$$ 8.68738e7 2.67370e8i 0.180511 0.555555i
$$86$$ −1.82699e7 + 4.27445e7i −0.0360158 + 0.0842631i
$$87$$ 5.47051e8 + 9.92751e7i 1.02374 + 0.185782i
$$88$$ −1.08060e9 7.85099e8i −1.92084 1.39557i
$$89$$ 6.86507e8 6.17867e7i 1.15982 0.104386i 0.507032 0.861927i $$-0.330743\pi$$
0.652786 + 0.757542i $$0.273600\pi$$
$$90$$ 9.76769e7 + 2.28527e8i 0.156928 + 0.367152i
$$91$$ −2.48047e7 1.08676e8i −0.0379181 0.166130i
$$92$$ 1.15044e9 + 1.74285e9i 1.67425 + 2.53638i
$$93$$ −1.07959e8 6.45028e7i −0.149654 0.0894139i
$$94$$ −1.12541e9 1.41122e9i −1.48674 1.86431i
$$95$$ −1.23002e8 + 1.07464e8i −0.154937 + 0.135365i
$$96$$ 3.49409e8 2.53860e8i 0.419869 0.305052i
$$97$$ 7.95366e8 3.83028e8i 0.912209 0.439297i 0.0819258 0.996638i $$-0.473893\pi$$
0.830283 + 0.557342i $$0.188179\pi$$
$$98$$ 6.57839e8 9.96583e8i 0.720447 1.09143i
$$99$$ −7.74933e8 2.90837e8i −0.810785 0.304293i
$$100$$ −1.09594e9 + 6.54796e8i −1.09594 + 0.654796i
$$101$$ −4.05580e7 1.95317e7i −0.0387820 0.0186764i 0.414392 0.910098i $$-0.363994\pi$$
−0.453174 + 0.891422i $$0.649708\pi$$
$$102$$ 1.46605e9 2.66049e8i 1.34106 0.243366i
$$103$$ 6.53359e7 2.86255e8i 0.0571984 0.250603i −0.938243 0.345977i $$-0.887548\pi$$
0.995442 + 0.0953741i $$0.0304047\pi$$
$$104$$ 5.19897e8 1.95121e8i 0.435780 0.163551i
$$105$$ 1.37786e8 1.72778e8i 0.110625 0.138719i
$$106$$ 6.12136e7 + 1.36303e9i 0.0470946 + 1.04864i
$$107$$ −5.18119e7 1.15368e9i −0.0382123 0.850862i −0.922984 0.384838i $$-0.874257\pi$$
0.884772 0.466024i $$-0.154314\pi$$
$$108$$ −1.66320e9 + 2.08559e9i −1.17635 + 1.47510i
$$109$$ 7.35337e8 2.75977e8i 0.498962 0.187264i −0.0891891 0.996015i $$-0.528428\pi$$
0.588151 + 0.808751i $$0.299856\pi$$
$$110$$ −5.59949e8 + 2.45330e9i −0.364654 + 1.59765i
$$111$$ −2.18957e9 + 3.97348e8i −1.36901 + 0.248438i
$$112$$ −2.30561e8 1.11032e8i −0.138454 0.0666757i
$$113$$ 3.83787e8 2.29302e8i 0.221431 0.132299i −0.397900 0.917429i $$-0.630261\pi$$
0.619331 + 0.785130i $$0.287404\pi$$
$$114$$ −8.10474e8 3.04176e8i −0.449435 0.168676i
$$115$$ 9.34725e8 1.41605e9i 0.498361 0.754984i
$$116$$ −4.37152e9 + 2.10521e9i −2.24167 + 1.07953i
$$117$$ 2.78396e8 2.02267e8i 0.137350 0.0997903i
$$118$$ −3.60499e9 + 3.14959e9i −1.71173 + 1.49549i
$$119$$ 7.01858e8 + 8.80102e8i 0.320839 + 0.402320i
$$120$$ 9.45062e8 + 5.64648e8i 0.416049 + 0.248578i
$$121$$ −3.31797e9 5.02650e9i −1.40714 2.13173i
$$122$$ −9.62024e8 4.21490e9i −0.393158 1.72254i
$$123$$ −5.69232e8 1.33179e9i −0.224242 0.524640i
$$124$$ 1.09308e9 9.83792e7i 0.415198 0.0373685i
$$125$$ 1.99493e9 + 1.44940e9i 0.730857 + 0.530999i
$$126$$ −9.79150e8 1.77690e8i −0.346084 0.0628050i
$$127$$ 7.62001e8 1.78279e9i 0.259919 0.608112i −0.737843 0.674973i $$-0.764155\pi$$
0.997762 + 0.0668607i $$0.0212983\pi$$
$$128$$ −1.68421e9 + 5.18348e9i −0.554565 + 1.70677i
$$129$$ 6.04674e7 + 1.12367e8i 0.0192250 + 0.0357261i
$$130$$ −7.22972e8 7.56170e8i −0.222012 0.232206i
$$131$$ −1.74558e9 + 3.24384e9i −0.517869 + 0.962362i 0.478570 + 0.878049i $$0.341155\pi$$
−0.996439 + 0.0843127i $$0.973131\pi$$
$$132$$ −8.19535e9 + 2.26177e9i −2.34955 + 0.648435i
$$133$$ −8.77909e7 6.48098e8i −0.0243286 0.179601i
$$134$$ 6.18764e8 4.56790e9i 0.165788 1.22390i
$$135$$ 2.08927e9 + 5.76602e8i 0.541368 + 0.149408i
$$136$$ −3.87532e9 + 4.05326e9i −0.971364 + 1.01597i
$$137$$ −3.15897e8 9.72231e8i −0.0766131 0.235791i 0.905414 0.424529i $$-0.139560\pi$$
−0.982027 + 0.188738i $$0.939560\pi$$
$$138$$ 8.95654e9 + 8.06103e8i 2.10225 + 0.189206i
$$139$$ 5.58129e8 + 4.87622e8i 0.126814 + 0.110794i 0.719010 0.695000i $$-0.244596\pi$$
−0.592195 + 0.805794i $$0.701739\pi$$
$$140$$ −8.65248e7 + 1.92662e9i −0.0190355 + 0.423859i
$$141$$ −4.95482e9 −1.05570
$$142$$ 8.03629e9 + 4.09117e8i 1.65866 + 0.0844403i
$$143$$ 3.48427e9 0.696786
$$144$$ 3.54425e7 7.89190e8i 0.00686900 0.152950i
$$145$$ 2.96877e9 + 2.59374e9i 0.557726 + 0.487270i
$$146$$ 1.36159e10 + 1.22546e9i 2.48005 + 0.223208i
$$147$$ −1.01293e9 3.11748e9i −0.178917 0.550649i
$$148$$ 1.34206e10 1.40368e10i 2.29929 2.40486i
$$149$$ 2.66748e9 + 7.36177e8i 0.443366 + 0.122361i 0.480590 0.876946i $$-0.340423\pi$$
−0.0372233 + 0.999307i $$0.511851\pi$$
$$150$$ −7.37957e8 + 5.44781e9i −0.119020 + 0.878641i
$$151$$ −7.64869e8 5.64649e9i −0.119727 0.883858i −0.946813 0.321783i $$-0.895718\pi$$
0.827087 0.562074i $$-0.189997\pi$$
$$152$$ 3.14065e9 8.66764e8i 0.477225 0.131706i
$$153$$ −1.64673e9 + 3.06013e9i −0.242946 + 0.451469i
$$154$$ −6.96319e9 7.28293e9i −0.997620 1.04343i
$$155$$ −4.22553e8 7.85235e8i −0.0588015 0.109272i
$$156$$ 1.09224e9 3.36155e9i 0.147657 0.454443i
$$157$$ −5.90131e8 + 1.38068e9i −0.0775175 + 0.181361i −0.953804 0.300429i $$-0.902870\pi$$
0.876287 + 0.481790i $$0.160013\pi$$
$$158$$ −2.03455e10 3.69217e9i −2.59724 0.471330i
$$159$$ 3.03003e9 + 2.20145e9i 0.375976 + 0.273162i
$$160$$ 3.05001e9 2.74506e8i 0.367927 0.0331140i
$$161$$ 2.67022e9 + 6.24729e9i 0.313207 + 0.732783i
$$162$$ 1.06796e9 + 4.67903e9i 0.121825 + 0.533750i
$$163$$ −7.07326e9 1.07155e10i −0.784830 1.18897i −0.978164 0.207833i $$-0.933359\pi$$
0.193335 0.981133i $$-0.438070\pi$$
$$164$$ 1.08503e10 + 6.48276e9i 1.17124 + 0.699782i
$$165$$ 4.30680e9 + 5.40055e9i 0.452352 + 0.567232i
$$166$$ 1.36477e10 1.19236e10i 1.39500 1.21877i
$$167$$ 1.34574e10 9.77739e9i 1.33887 0.972745i 0.339384 0.940648i $$-0.389781\pi$$
0.999485 0.0320970i $$-0.0102185\pi$$
$$168$$ −3.97164e9 + 1.91264e9i −0.384660 + 0.185243i
$$169$$ 5.04398e9 7.64130e9i 0.475645 0.720571i
$$170$$ 9.89114e9 + 3.71221e9i 0.908293 + 0.340888i
$$171$$ 1.73319e9 1.03553e9i 0.155012 0.0926152i
$$172$$ −1.00330e9 4.83165e8i −0.0874085 0.0420937i
$$173$$ −1.28420e10 + 2.33048e9i −1.09000 + 0.197805i −0.693662 0.720300i $$-0.744004\pi$$
−0.396335 + 0.918106i $$0.629718\pi$$
$$174$$ −4.64933e9 + 2.03700e10i −0.384520 + 1.68469i
$$175$$ −3.88857e9 + 1.45941e9i −0.313415 + 0.117626i
$$176$$ 4.98717e9 6.25371e9i 0.391784 0.491282i
$$177$$ 5.89552e8 + 1.31274e10i 0.0451484 + 1.00531i
$$178$$ 1.16214e9 + 2.58770e10i 0.0867697 + 1.93208i
$$179$$ 6.75453e9 8.46991e9i 0.491764 0.616652i −0.472586 0.881285i $$-0.656679\pi$$
0.964349 + 0.264633i $$0.0852507\pi$$
$$180$$ −5.57395e9 + 2.09194e9i −0.395764 + 0.148533i
$$181$$ 4.96099e9 2.17355e10i 0.343570 1.50528i −0.447907 0.894080i $$-0.647831\pi$$
0.791477 0.611198i $$-0.209312\pi$$
$$182$$ 4.12175e9 7.47987e8i 0.278459 0.0505328i
$$183$$ −1.06923e10 5.14916e9i −0.704763 0.339396i
$$184$$ −2.90544e10 + 1.73592e10i −1.86866 + 1.11647i
$$185$$ −1.47726e10 5.54424e9i −0.927221 0.347992i
$$186$$ 2.60359e9 3.94427e9i 0.159501 0.241634i
$$187$$ −3.17014e10 + 1.52666e10i −1.89580 + 0.912967i
$$188$$ 3.49820e10 2.54159e10i 2.04237 1.48387i
$$189$$ −6.53557e9 + 5.70996e9i −0.372568 + 0.325503i
$$190$$ −3.82702e9 4.79893e9i −0.213044 0.267149i
$$191$$ 1.75711e10 + 1.04983e10i 0.955321 + 0.570778i 0.903828 0.427895i $$-0.140745\pi$$
0.0514931 + 0.998673i $$0.483602\pi$$
$$192$$ 1.14836e10 + 1.73969e10i 0.609850 + 0.923884i
$$193$$ 3.23479e9 + 1.41725e10i 0.167818 + 0.735259i 0.986867 + 0.161535i $$0.0516445\pi$$
−0.819049 + 0.573724i $$0.805498\pi$$
$$194$$ 1.30387e10 + 3.05055e10i 0.660884 + 1.54621i
$$195$$ −2.86022e9 + 2.57425e8i −0.141659 + 0.0127495i
$$196$$ 2.31426e10 + 1.68141e10i 1.12011 + 0.813807i
$$197$$ −2.98554e10 5.41796e9i −1.41229 0.256293i −0.581804 0.813329i $$-0.697653\pi$$
−0.830489 + 0.557035i $$0.811939\pi$$
$$198$$ 1.22252e10 2.86022e10i 0.565277 1.32253i
$$199$$ −9.24466e9 + 2.84521e10i −0.417880 + 1.28610i 0.491769 + 0.870726i $$0.336351\pi$$
−0.909649 + 0.415377i $$0.863649\pi$$
$$200$$ −9.80468e9 1.82202e10i −0.433310 0.805225i
$$201$$ −8.74439e9 9.14592e9i −0.377874 0.395226i
$$202$$ 8.01642e8 1.48970e9i 0.0338766 0.0629532i
$$203$$ −1.52165e10 + 4.19948e9i −0.628901 + 0.173566i
$$204$$ 4.79128e9 + 3.53706e10i 0.193694 + 1.42990i
$$205$$ 1.37850e9 1.01765e10i 0.0545147 0.402444i
$$206$$ 1.06364e10 + 2.93547e9i 0.411523 + 0.113573i
$$207$$ −1.44940e10 + 1.51595e10i −0.548683 + 0.573877i
$$208$$ 1.02762e9 + 3.16270e9i 0.0380670 + 0.117158i
$$209$$ 2.03604e10 + 1.83247e9i 0.738122 + 0.0664322i
$$210$$ 6.25414e9 + 5.46408e9i 0.221912 + 0.193879i
$$211$$ −6.71372e8 + 1.49493e10i −0.0233180 + 0.519216i 0.953012 + 0.302932i $$0.0979654\pi$$
−0.976330 + 0.216285i $$0.930606\pi$$
$$212$$ −3.26850e10 −1.11131
$$213$$ 1.46322e10 1.65469e10i 0.487080 0.550819i
$$214$$ 4.33989e10 1.41455
$$215$$ −4.05925e7 + 9.03862e8i −0.00129561 + 0.0288489i
$$216$$ −3.25577e10 2.84448e10i −1.01768 0.889122i
$$217$$ 3.55619e9 + 3.20063e8i 0.108872 + 0.00979865i
$$218$$ 9.12094e9 + 2.80714e10i 0.273518 + 0.841801i
$$219$$ 2.59337e10 2.71245e10i 0.761844 0.796827i
$$220$$ −5.81091e10 1.60371e10i −1.67241 0.461555i
$$221$$ 1.96361e9 1.44960e10i 0.0553720 0.408773i
$$222$$ −1.12256e10 8.28708e10i −0.310186 2.28988i
$$223$$ −5.24048e10 + 1.44628e10i −1.41905 + 0.391634i −0.889614 0.456713i $$-0.849027\pi$$
−0.529441 + 0.848347i $$0.677598\pi$$
$$224$$ −5.81065e9 + 1.07980e10i −0.154209 + 0.286567i
$$225$$ −8.86067e9 9.26753e9i −0.230486 0.241070i
$$226$$ 7.96140e9 + 1.47948e10i 0.203003 + 0.377242i
$$227$$ −9.64239e9 + 2.96762e10i −0.241028 + 0.741809i 0.755236 + 0.655453i $$0.227522\pi$$
−0.996264 + 0.0863562i $$0.972478\pi$$
$$228$$ 8.15043e9 1.90689e10i 0.199744 0.467324i
$$229$$ 6.94573e9 + 1.26046e9i 0.166901 + 0.0302880i 0.261364 0.965240i $$-0.415828\pi$$
−0.0944632 + 0.995528i $$0.530113\pi$$
$$230$$ 5.15854e10 + 3.74790e10i 1.21549 + 0.883105i
$$231$$ −2.75478e10 + 2.47935e9i −0.636551 + 0.0572906i
$$232$$ −3.09061e10 7.23084e10i −0.700404 1.63868i
$$233$$ −2.42324e8 1.06169e9i −0.00538635 0.0235991i 0.972163 0.234304i $$-0.0752812\pi$$
−0.977550 + 0.210705i $$0.932424\pi$$
$$234$$ 7.12412e9 + 1.07926e10i 0.155332 + 0.235318i
$$235$$ −3.01592e10 1.80193e10i −0.645080 0.385418i
$$236$$ −7.14996e10 8.96577e10i −1.50037 1.88141i
$$237$$ −4.27454e10 + 3.73455e10i −0.880079 + 0.768902i
$$238$$ −3.42242e10 + 2.48653e10i −0.691411 + 0.502340i
$$239$$ −2.15035e10 + 1.03556e10i −0.426304 + 0.205297i −0.634718 0.772743i $$-0.718884\pi$$
0.208415 + 0.978041i $$0.433170\pi$$
$$240$$ −3.63191e9 + 5.50211e9i −0.0706618 + 0.107048i
$$241$$ 1.07218e10 + 4.02396e9i 0.204734 + 0.0768381i 0.451635 0.892203i $$-0.350841\pi$$
−0.246901 + 0.969041i $$0.579412\pi$$
$$242$$ 1.94299e11 1.16088e11i 3.64168 2.17580i
$$243$$ −4.06782e10 1.95896e10i −0.748399 0.360410i
$$244$$ 1.01903e11 1.84926e10i 1.84048 0.333998i
$$245$$ 5.17183e9 2.26593e10i 0.0917058 0.401789i
$$246$$ 5.09577e10 1.91247e10i 0.887159 0.332956i
$$247$$ −5.29901e9 + 6.64474e9i −0.0905854 + 0.113590i
$$248$$ 7.98018e8 + 1.77692e10i 0.0133962 + 0.298289i
$$249$$ −2.23191e9 4.96974e10i −0.0367942 0.819287i
$$250$$ −5.77769e10 + 7.24500e10i −0.935458 + 1.17303i
$$251$$ 5.37238e10 2.01629e10i 0.854348 0.320642i 0.114506 0.993423i $$-0.463472\pi$$
0.739842 + 0.672781i $$0.234900\pi$$
$$252$$ 5.30472e9 2.32415e10i 0.0828629 0.363046i
$$253$$ −2.08949e11 + 3.79187e10i −3.20625 + 0.581849i
$$254$$ 6.56448e10 + 3.16129e10i 0.989575 + 0.476554i
$$255$$ 2.48957e10 1.48745e10i 0.368717 0.220298i
$$256$$ −9.48951e10 3.56147e10i −1.38091 0.518263i
$$257$$ 1.34471e10 2.03715e10i 0.192279 0.291290i −0.725627 0.688088i $$-0.758450\pi$$
0.917906 + 0.396798i $$0.129879\pi$$
$$258$$ −4.32044e9 + 2.08062e9i −0.0607071 + 0.0292350i
$$259$$ 5.11143e10 3.71367e10i 0.705819 0.512808i
$$260$$ 1.88732e10 1.64891e10i 0.256134 0.223777i
$$261$$ −3.03827e10 3.80988e10i −0.405270 0.508193i
$$262$$ −1.18837e11 7.10019e10i −1.55810 0.930924i
$$263$$ 1.92505e10 + 2.91633e10i 0.248108 + 0.375868i 0.937192 0.348814i $$-0.113415\pi$$
−0.689084 + 0.724682i $$0.741987\pi$$
$$264$$ −3.06605e10 1.34333e11i −0.388474 1.70202i
$$265$$ 1.04373e10 + 2.44192e10i 0.130011 + 0.304176i
$$266$$ 2.44789e10 2.20314e9i 0.299796 0.0269821i
$$267$$ 5.75251e10 + 4.17944e10i 0.692718 + 0.503289i
$$268$$ 1.08651e11 + 1.97173e10i 1.28656 + 0.233475i
$$269$$ −2.39606e10 + 5.60586e10i −0.279005 + 0.652765i −0.999157 0.0410512i $$-0.986929\pi$$
0.720152 + 0.693817i $$0.244072\pi$$
$$270$$ −2.51693e10 + 7.74632e10i −0.288227 + 0.887072i
$$271$$ 8.00805e10 + 1.48815e11i 0.901914 + 1.67604i 0.721463 + 0.692453i $$0.243470\pi$$
0.180451 + 0.983584i $$0.442244\pi$$
$$272$$ −2.32074e10 2.42730e10i −0.257079 0.268883i
$$273$$ 5.44908e9 1.01261e10i 0.0593733 0.110334i
$$274$$ 3.70321e10 1.02202e10i 0.396918 0.109542i
$$275$$ −1.74267e10 1.28649e11i −0.183746 1.35647i
$$276$$ −2.89174e10 + 2.13477e11i −0.299963 + 2.21442i
$$277$$ −1.99056e10 5.49360e9i −0.203150 0.0560658i 0.162981 0.986629i $$-0.447889\pi$$
−0.366131 + 0.930563i $$0.619318\pi$$
$$278$$ −1.92474e10 + 2.01312e10i −0.193272 + 0.202147i
$$279$$ 3.40614e9 + 1.04830e10i 0.0336545 + 0.103578i
$$280$$ −3.11304e10 2.80178e9i −0.302673 0.0272410i
$$281$$ 2.49318e10 + 2.17823e10i 0.238548 + 0.208413i 0.768908 0.639359i $$-0.220800\pi$$
−0.530360 + 0.847773i $$0.677943\pi$$
$$282$$ 8.35390e9 1.86014e11i 0.0786626 1.75156i
$$283$$ 1.97151e10 0.182709 0.0913545 0.995818i $$-0.470880\pi$$
0.0913545 + 0.995818i $$0.470880\pi$$
$$284$$ −1.84279e10 + 1.91880e11i −0.168090 + 1.75024i
$$285$$ −1.68492e10 −0.151278
$$286$$ −5.87453e9 + 1.30807e11i −0.0519189 + 1.15606i
$$287$$ 3.09668e10 + 2.70548e10i 0.269418 + 0.235384i
$$288$$ −3.77015e10 3.39319e9i −0.322918 0.0290631i
$$289$$ 9.00376e9 + 2.77107e10i 0.0759248 + 0.233672i
$$290$$ −1.02380e11 + 1.07081e11i −0.850007 + 0.889037i
$$291$$ 8.77851e10 + 2.42271e10i 0.717633 + 0.198054i
$$292$$ −4.39608e10 + 3.24532e11i −0.353870 + 2.61237i
$$293$$ 1.38738e10 + 1.02421e11i 0.109975 + 0.811865i 0.958979 + 0.283478i $$0.0914884\pi$$
−0.849004 + 0.528386i $$0.822797\pi$$
$$294$$ 1.18744e11 3.27713e10i 0.926935 0.255818i
$$295$$ −4.41520e10 + 8.20482e10i −0.339431 + 0.630768i
$$296$$ 2.17506e11 + 2.27494e11i 1.64687 + 1.72249i
$$297$$ −1.28545e11 2.38876e11i −0.958629 1.78143i
$$298$$ −3.21350e10 + 9.89013e10i −0.236051 + 0.726489i
$$299$$ 3.46995e10 8.11835e10i 0.251075 0.587418i
$$300$$ −1.29581e11 2.35155e10i −0.923624 0.167613i
$$301$$ −2.93097e9 2.12947e9i −0.0205808 0.0149528i
$$302$$ 2.13270e11 1.91947e10i 1.47536 0.132785i
$$303$$ −1.82512e9 4.27007e9i −0.0124394 0.0291034i
$$304$$ 4.34159e9 + 1.90218e10i 0.0291553 + 0.127738i
$$305$$ −4.63564e10 7.02270e10i −0.306733 0.464681i
$$306$$ −1.12107e11 6.69808e10i −0.730948 0.436721i
$$307$$ −2.58927e9 3.24685e9i −0.0166362 0.0208612i 0.773444 0.633865i $$-0.218532\pi$$
−0.790080 + 0.613004i $$0.789961\pi$$
$$308$$ 1.81775e11 1.58812e11i 1.15095 1.00555i
$$309$$ 2.45043e10 1.78034e10i 0.152907 0.111094i
$$310$$ 3.01917e10 1.45396e10i 0.185678 0.0894178i
$$311$$ 7.59883e9 1.15117e10i 0.0460601 0.0697781i −0.810814 0.585304i $$-0.800975\pi$$
0.856874 + 0.515526i $$0.172404\pi$$
$$312$$ 5.36315e10 + 2.01282e10i 0.320424 + 0.120257i
$$313$$ −2.43721e11 + 1.45616e11i −1.43530 + 0.857553i −0.999105 0.0422990i $$-0.986532\pi$$
−0.436196 + 0.899852i $$0.643675\pi$$
$$314$$ −5.08386e10 2.44826e10i −0.295128 0.142126i
$$315$$ −1.90578e10 + 3.45849e9i −0.109063 + 0.0197920i
$$316$$ 1.10226e11 4.82930e11i 0.621857 2.72453i
$$317$$ −3.25161e9 + 1.22035e9i −0.0180856 + 0.00678763i −0.360401 0.932797i $$-0.617360\pi$$
0.342316 + 0.939585i $$0.388789\pi$$
$$318$$ −8.77554e10 + 1.10042e11i −0.481229 + 0.603442i
$$319$$ −2.21365e10 4.92908e11i −0.119688 2.66506i
$$320$$ 6.63118e9 + 1.47655e11i 0.0353522 + 0.787177i
$$321$$ 7.42773e10 9.31408e10i 0.390466 0.489629i
$$322$$ −2.39038e11 + 8.97125e10i −1.23913 + 0.465052i
$$323$$ 1.90982e10 8.36748e10i 0.0976297 0.427744i
$$324$$ −1.13124e11 + 2.05289e10i −0.570297 + 0.103494i
$$325$$ 4.86285e10 + 2.34183e10i 0.241778 + 0.116434i
$$326$$ 4.14208e11 2.47478e11i 2.03114 1.21355i
$$327$$ 7.58559e10 + 2.84692e10i 0.366881 + 0.137693i
$$328$$ −1.12850e11 + 1.70960e11i −0.538354 + 0.815571i
$$329$$ 1.26744e11 6.10368e10i 0.596412 0.287217i
$$330$$ −2.10009e11 + 1.52581e11i −0.974822 + 0.708250i
$$331$$ 2.28005e11 1.99202e11i 1.04404 0.912152i 0.0478076 0.998857i $$-0.484777\pi$$
0.996234 + 0.0867049i $$0.0276337\pi$$
$$332$$ 2.70682e11 + 3.39424e11i 1.22275 + 1.53328i
$$333$$ 1.67434e11 + 1.00037e11i 0.746180 + 0.445822i
$$334$$ 3.44374e11 + 5.21704e11i 1.51416 + 2.29385i
$$335$$ −1.99646e10 8.74705e10i −0.0866081 0.379455i
$$336$$ −1.03753e10 2.42741e10i −0.0444091 0.103900i
$$337$$ 3.29742e10 2.96773e9i 0.139264 0.0125340i −0.0197878 0.999804i $$-0.506299\pi$$
0.159052 + 0.987270i $$0.449156\pi$$
$$338$$ 2.78366e11 + 2.02244e11i 1.16009 + 0.842852i
$$339$$ 4.53778e10 + 8.23486e9i 0.186614 + 0.0338655i
$$340$$ −9.94691e10 + 2.32719e11i −0.403676 + 0.944447i
$$341$$ −3.44880e10 + 1.06143e11i −0.138125 + 0.425106i
$$342$$ 3.59539e10 + 6.68135e10i 0.142111 + 0.264087i
$$343$$ 1.45990e11 + 1.52693e11i 0.569506 + 0.595657i
$$344$$ 8.55227e9 1.58928e10i 0.0329282 0.0611909i
$$345$$ 1.68724e11 4.65649e10i 0.641196 0.176959i
$$346$$ −6.58392e10 4.86044e11i −0.246969 1.82320i
$$347$$ 3.86380e10 2.85237e11i 0.143064 1.05614i −0.766991 0.641657i $$-0.778247\pi$$
0.910056 0.414486i $$-0.136039\pi$$
$$348$$ −4.82487e11 1.33158e11i −1.76352 0.486699i
$$349$$ 1.15795e11 1.21112e11i 0.417807 0.436992i −0.480075 0.877227i $$-0.659391\pi$$
0.897882 + 0.440235i $$0.145105\pi$$
$$350$$ −4.82329e10 1.48446e11i −0.171806 0.528763i
$$351$$ 1.12324e11 + 1.01093e10i 0.394993 + 0.0355500i
$$352$$ −2.88637e11 2.52174e11i −1.00210 0.875506i
$$353$$ −1.82406e10 + 4.06158e11i −0.0625248 + 1.39222i 0.685268 + 0.728291i $$0.259685\pi$$
−0.747793 + 0.663932i $$0.768886\pi$$
$$354$$ −4.93823e11 −1.67131
$$355$$ 1.49240e11 4.75054e10i 0.498720 0.158751i
$$356$$ −6.20524e11 −2.04754
$$357$$ −5.20989e9 + 1.16007e11i −0.0169755 + 0.377988i
$$358$$ 3.06589e11 + 2.67859e11i 0.986469 + 0.861852i
$$359$$ −4.40538e11 3.96491e10i −1.39977 0.125982i −0.636111 0.771597i $$-0.719458\pi$$
−0.763663 + 0.645615i $$0.776601\pi$$
$$360$$ −2.98169e10 9.17669e10i −0.0935623 0.287955i
$$361$$ 1.88538e11 1.97195e11i 0.584274 0.611102i
$$362$$ 8.07632e11 + 2.22892e11i 2.47187 + 0.682192i
$$363$$ 8.33997e10 6.15681e11i 0.252107 1.86113i
$$364$$ 1.34705e10 + 9.94433e10i 0.0402187 + 0.296906i
$$365$$ 2.56498e11 7.07890e10i 0.756426 0.208760i
$$366$$ 2.11337e11 3.92731e11i 0.615618 1.14401i
$$367$$ −8.83177e9 9.23731e9i −0.0254127 0.0265796i 0.709966 0.704236i $$-0.248710\pi$$
−0.735379 + 0.677656i $$0.762996\pi$$
$$368$$ −9.60448e10 1.78481e11i −0.272998 0.507314i
$$369$$ −3.92270e10 + 1.20728e11i −0.110145 + 0.338993i
$$370$$ 2.33049e11 5.45245e11i 0.646456 1.51246i
$$371$$ −1.04627e11 1.89870e10i −0.286722 0.0520324i
$$372$$ 9.15937e10 + 6.65467e10i 0.247983 + 0.180170i
$$373$$ −7.08644e11 + 6.37791e10i −1.89556 + 0.170604i −0.975328 0.220761i $$-0.929146\pi$$
−0.920236 + 0.391365i $$0.872003\pi$$
$$374$$ −5.19690e11 1.21588e12i −1.37348 3.21342i
$$375$$ 5.66036e10 + 2.47996e11i 0.147810 + 0.647597i
$$376$$ 3.86063e11 + 5.84861e11i 0.996124 + 1.50906i
$$377$$ 1.76094e11 + 1.05211e11i 0.448961 + 0.268242i
$$378$$ −2.03344e11 2.54986e11i −0.512294 0.642396i
$$379$$ 1.68529e11 1.47240e11i 0.419565 0.366563i −0.422112 0.906543i $$-0.638711\pi$$
0.841677 + 0.539981i $$0.181568\pi$$
$$380$$ 1.18958e11 8.64283e10i 0.292664 0.212633i
$$381$$ 1.80197e11 8.67784e10i 0.438113 0.210984i
$$382$$ −4.23751e11 + 6.41956e11i −1.01818 + 1.54248i
$$383$$ −6.09288e11 2.28670e11i −1.44687 0.543018i −0.500392 0.865799i $$-0.666811\pi$$
−0.946474 + 0.322781i $$0.895382\pi$$
$$384$$ −4.82650e11 + 2.88370e11i −1.13277 + 0.676798i
$$385$$ −1.76695e11 8.50920e10i −0.409876 0.197386i
$$386$$ −5.37520e11 + 9.75455e10i −1.23240 + 0.223648i
$$387$$ 2.48867e9 1.09036e10i 0.00563986 0.0247098i
$$388$$ −7.44053e11 + 2.79248e11i −1.66671 + 0.625528i
$$389$$ −1.02217e11 + 1.28176e11i −0.226334 + 0.283813i −0.882012 0.471227i $$-0.843811\pi$$
0.655678 + 0.755040i $$0.272383\pi$$
$$390$$ −4.84187e9 1.07813e11i −0.0105980 0.235982i
$$391$$ 4.00006e10 + 8.90682e11i 0.0865508 + 1.92720i
$$392$$ −2.89059e11 + 3.62468e11i −0.618300 + 0.775323i
$$393$$ −3.55771e11 + 1.33523e11i −0.752323 + 0.282351i
$$394$$ 2.53738e11 1.11170e12i 0.530459 2.32409i
$$395$$ −3.95999e11 + 7.18631e10i −0.818477 + 0.148532i
$$396$$ 6.71352e11 + 3.23306e11i 1.37190 + 0.660672i
$$397$$ −1.26888e11 + 7.58119e10i −0.256367 + 0.153172i −0.635333 0.772239i $$-0.719137\pi$$
0.378966 + 0.925411i $$0.376280\pi$$
$$398$$ −1.05256e12 3.95034e11i −2.10269 0.789152i
$$399$$ 3.71674e10 5.63063e10i 0.0734150 0.111219i
$$400$$ 1.11636e11 5.37611e10i 0.218039 0.105002i
$$401$$ 1.24851e11 9.07098e10i 0.241126 0.175188i −0.460659 0.887577i $$-0.652387\pi$$
0.701785 + 0.712389i $$0.252387\pi$$
$$402$$ 3.58100e11 3.12862e11i 0.683891 0.597497i
$$403$$ −2.89296e10 3.62765e10i −0.0546348 0.0685098i
$$404$$ 3.47891e10 + 2.07855e10i 0.0649721 + 0.0388190i
$$405$$ 5.14610e10 + 7.79601e10i 0.0950453 + 0.143987i
$$406$$ −1.32002e11 5.78338e11i −0.241109 1.05637i
$$407$$ 7.76165e11 + 1.81593e12i 1.40210 + 3.28038i
$$408$$ −5.76157e11 + 5.18551e10i −1.02937 + 0.0926447i
$$409$$ 7.62123e11 + 5.53715e11i 1.34670 + 0.978433i 0.999169 + 0.0407638i $$0.0129791\pi$$
0.347529 + 0.937669i $$0.387021\pi$$
$$410$$ 3.79722e11 + 6.89093e10i 0.663648 + 0.120434i
$$411$$ 4.14463e10 9.69686e10i 0.0716470 0.167627i
$$412$$ −8.16817e10 + 2.51390e11i −0.139665 + 0.429844i
$$413$$ −1.76793e11 3.28536e11i −0.299012 0.555658i
$$414$$ −5.44682e11 5.69693e11i −0.911259 0.953102i
$$415$$ 1.67150e11 3.10616e11i 0.276624 0.514053i
$$416$$ 1.53604e11 4.23920e10i 0.251468 0.0694007i
$$417$$ 1.02627e10 + 7.57623e10i 0.0166207 + 0.122699i
$$418$$ −1.03123e11 + 7.61281e11i −0.165219 + 1.21970i
$$419$$ 4.72471e11 + 1.30394e11i 0.748879 + 0.206678i 0.619586 0.784929i $$-0.287301\pi$$
0.129293 + 0.991606i $$0.458729\pi$$
$$420$$ −1.37485e11 + 1.43798e11i −0.215592 + 0.225492i
$$421$$ −9.66069e10 2.97325e11i −0.149878 0.461278i 0.847728 0.530432i $$-0.177970\pi$$
−0.997606 + 0.0691537i $$0.977970\pi$$
$$422$$ −5.60093e11 5.04093e10i −0.859715 0.0773757i
$$423$$ 3.27038e11 + 2.85724e11i 0.496668 + 0.433926i
$$424$$ 2.37660e10 5.29190e11i 0.0357116 0.795180i
$$425$$ −5.45053e11 −0.810380
$$426$$ 5.96535e11 + 5.77219e11i 0.877592 + 0.849175i
$$427$$ 3.36940e11 0.490487
$$428$$ −4.66435e10 + 1.03860e12i −0.0671884 + 1.49607i
$$429$$ 2.70677e11 + 2.36483e11i 0.385827 + 0.337087i
$$430$$ −3.38644e10 3.04785e9i −0.0477678 0.00429918i
$$431$$ 3.24511e10 + 9.98743e10i 0.0452983 + 0.139414i 0.971148 0.238479i $$-0.0766488\pi$$
−0.925849 + 0.377893i $$0.876649\pi$$
$$432$$ 1.78918e11 1.87133e11i 0.247159 0.258508i
$$433$$ 5.23922e9 + 1.44593e9i 0.00716260 + 0.00197675i 0.269616 0.962968i $$-0.413103\pi$$
−0.262454 + 0.964945i $$0.584532\pi$$
$$434$$ −1.80116e10 + 1.32967e11i −0.0243696 + 0.179904i
$$435$$ 5.45888e10 + 4.02991e11i 0.0730974 + 0.539627i
$$436$$ −6.81591e11 + 1.88107e11i −0.903305 + 0.249296i
$$437$$ 2.45464e11 4.56148e11i 0.321974 0.598329i
$$438$$ 9.74586e11 + 1.01934e12i 1.26528 + 1.32338i
$$439$$ −2.44756e11 4.54834e11i −0.314517 0.584470i 0.673432 0.739249i $$-0.264819\pi$$
−0.987949 + 0.154779i $$0.950534\pi$$
$$440$$ 3.01903e11 9.29163e11i 0.384000 1.18183i
$$441$$ −1.12915e11 + 2.64177e11i −0.142160 + 0.332600i
$$442$$ 5.40897e11 + 9.81584e10i 0.674085 + 0.122328i
$$443$$ −9.68695e11 7.03798e11i −1.19501 0.868223i −0.201222 0.979546i $$-0.564491\pi$$
−0.993784 + 0.111323i $$0.964491\pi$$
$$444$$ 1.99528e12 1.79579e11i 2.43658 0.219296i
$$445$$ 1.98151e11 + 4.63598e11i 0.239539 + 0.560430i
$$446$$ −4.54608e11 1.99177e12i −0.544039 2.38359i
$$447$$ 1.57258e11 + 2.38236e11i 0.186307 + 0.282244i
$$448$$ −5.08058e11 3.03550e11i −0.595884 0.356024i
$$449$$ −1.79864e11 2.25542e11i −0.208850 0.261890i 0.666363 0.745628i $$-0.267850\pi$$
−0.875213 + 0.483738i $$0.839279\pi$$
$$450$$ 3.62861e11 3.17022e11i 0.417142 0.364446i
$$451$$ −1.03984e12 + 7.55488e11i −1.18351 + 0.859870i
$$452$$ −3.62617e11 + 1.74627e11i −0.408625 + 0.196783i
$$453$$ 3.23818e11 4.90563e11i 0.361292 0.547334i
$$454$$ −1.09785e12 4.12029e11i −1.21281 0.455173i
$$455$$ 6.99933e10 4.18191e10i 0.0765606 0.0457428i
$$456$$ 3.02811e11 + 1.45826e11i 0.327967 + 0.157941i
$$457$$ 1.32202e12 2.39912e11i 1.41780 0.257293i 0.585077 0.810978i $$-0.301064\pi$$
0.832727 + 0.553684i $$0.186779\pi$$
$$458$$ −5.90310e10 + 2.58632e11i −0.0626881 + 0.274655i
$$459$$ −1.06627e12 + 4.00176e11i −1.12127 + 0.420818i
$$460$$ −9.52367e11 + 1.19423e12i −0.991732 + 1.24359i
$$461$$ 3.06474e10 + 6.82418e11i 0.0316038 + 0.703714i 0.950780 + 0.309867i $$0.100285\pi$$
−0.919176 + 0.393847i $$0.871144\pi$$
$$462$$ −4.66337e10 1.03838e12i −0.0476224 1.06039i
$$463$$ 7.63910e11 9.57913e11i 0.772552 0.968750i −0.227435 0.973793i $$-0.573034\pi$$
0.999987 + 0.00504330i $$0.00160534\pi$$
$$464$$ 4.40888e11 1.65468e11i 0.441567 0.165723i
$$465$$ 2.04690e10 8.96806e10i 0.0203029 0.0889530i
$$466$$ 4.02666e10 7.30731e9i 0.0395556 0.00717829i
$$467$$ −6.76441e11 3.25757e11i −0.658118 0.316933i 0.0748513 0.997195i $$-0.476152\pi$$
−0.732969 + 0.680262i $$0.761866\pi$$
$$468$$ −2.65939e11 + 1.58891e11i −0.256257 + 0.153106i
$$469$$ 3.36347e11 + 1.26233e11i 0.321003 + 0.120475i
$$470$$ 7.27328e11 1.10186e12i 0.687528 1.04156i
$$471$$ −1.39554e11 + 6.72055e10i −0.130661 + 0.0629232i
$$472$$ 1.50360e12 1.09243e12i 1.39442 1.01311i
$$473$$ 8.52784e10 7.45055e10i 0.0783364 0.0684405i
$$474$$ −1.32996e12 1.66771e12i −1.21014 1.51747i
$$475$$ 2.71846e11 + 1.62420e11i 0.245020 + 0.146393i
$$476$$ −5.58280e11 8.45757e11i −0.498449 0.755118i
$$477$$ −7.30456e10 3.20034e11i −0.0646043 0.283050i
$$478$$ −3.52513e11 8.24746e11i −0.308852 0.722594i
$$479$$ 2.51911e11 2.26724e10i 0.218644 0.0196783i 0.0202242 0.999795i $$-0.493562\pi$$
0.198420 + 0.980117i $$0.436419\pi$$
$$480$$ 2.55572e11 + 1.85684e11i 0.219750 + 0.159657i
$$481$$ −8.07839e11 1.46601e11i −0.688132 0.124878i
$$482$$ −1.69145e11 + 3.95733e11i −0.142740 + 0.333957i
$$483$$ −2.16577e11 + 6.66556e11i −0.181072 + 0.557281i
$$484$$ 2.56934e12 + 4.77463e12i 2.12822 + 3.95490i
$$485$$ 4.46226e11 + 4.66715e11i 0.366199 + 0.383014i
$$486$$ 8.04017e11 1.49411e12i 0.653735 1.21484i
$$487$$ 1.84011e11 5.07837e10i 0.148239 0.0409114i −0.191130 0.981565i $$-0.561215\pi$$
0.339369 + 0.940653i $$0.389787\pi$$
$$488$$ 2.25311e11 + 1.66332e12i 0.179843 + 1.32766i
$$489$$ 1.77792e11 1.31251e12i 0.140612 1.03804i
$$490$$ 8.41955e11 + 2.32365e11i 0.659791 + 0.182091i
$$491$$ 3.95622e11 4.13788e11i 0.307194 0.321300i −0.551118 0.834427i $$-0.685799\pi$$
0.858313 + 0.513127i $$0.171513\pi$$
$$492$$ 4.02915e11 + 1.24004e12i 0.310006 + 0.954101i
$$493$$ −2.06317e12 1.85689e11i −1.57298 0.141571i
$$494$$ −2.40523e11 2.10139e11i −0.181713 0.158758i
$$495$$ 2.71622e10 6.04813e11i 0.0203349 0.452791i
$$496$$ −1.06519e11 −0.0790238
$$497$$ −1.70454e11 + 6.03518e11i −0.125315 + 0.443697i
$$498$$ 1.86950e12 1.36205
$$499$$ −1.01879e11 + 2.26851e12i −0.0735584 + 1.63790i 0.535326 + 0.844645i $$0.320189\pi$$
−0.608885 + 0.793259i $$0.708383\pi$$
$$500$$ −1.67174e12 1.46055e12i −1.19620 1.04509i
$$501$$ 1.70905e12 + 1.53818e11i 1.21195 + 0.109078i
$$502$$ 6.66376e11 + 2.05089e12i 0.468331 + 1.44137i
$$503$$ 2.18027e11 2.28039e11i 0.151864 0.158837i −0.642486 0.766297i $$-0.722097\pi$$
0.794351 + 0.607460i $$0.207811\pi$$
$$504$$ 3.72438e11 + 1.02786e11i 0.257108 + 0.0709574i
$$505$$ 4.41984e9 3.26286e10i 0.00302410 0.0223248i
$$506$$ −1.07125e12 7.90830e12i −0.726465 5.36298i
$$507$$ 9.10471e11 2.51274e11i 0.611970 0.168893i
$$508$$ −8.27094e11 + 1.53700e12i −0.551021 + 1.02397i
$$509$$ 6.18884e11 + 6.47302e11i 0.408676 + 0.427441i 0.894813 0.446441i $$-0.147309\pi$$
−0.486137 + 0.873883i $$0.661594\pi$$
$$510$$ 5.16443e11 + 9.59712e11i 0.338031 + 0.628167i
$$511$$ −3.29246e11 + 1.01331e12i −0.213612 + 0.657430i
$$512$$ 4.00301e11 9.36550e11i 0.257437 0.602305i
$$513$$ 6.51050e11 + 1.18148e11i 0.415036 + 0.0753180i
$$514$$ 7.42117e11 + 5.39180e11i 0.468963 + 0.340721i
$$515$$ 2.13899e11 1.92513e10i 0.133991 0.0120594i
$$516$$ −4.51487e10 1.05631e11i −0.0280363 0.0655943i
$$517$$ 9.78449e11 + 4.28687e12i 0.602325 + 2.63896i
$$518$$ 1.30801e12 + 1.98155e12i 0.798227 + 1.20926i
$$519$$ −1.15581e12 6.90564e11i −0.699251 0.417783i
$$520$$ 2.53245e11 + 3.17560e11i 0.151889 + 0.190463i
$$521$$ 1.81116e12 1.58236e12i 1.07693 0.940885i 0.0785002 0.996914i $$-0.474987\pi$$
0.998429 + 0.0560292i $$0.0178440\pi$$
$$522$$ 1.48153e12 1.07639e12i 0.873360 0.634533i
$$523$$ −1.90217e12 + 9.16036e11i −1.11171 + 0.535371i −0.897322 0.441377i $$-0.854490\pi$$
−0.214388 + 0.976749i $$0.568776\pi$$
$$524$$ 1.82690e12 2.76764e12i 1.05858 1.60368i
$$525$$ −4.01138e11 1.50549e11i −0.230450 0.0864893i
$$526$$ −1.12730e12 + 6.73533e11i −0.642104 + 0.383639i
$$527$$ 4.22162e11 + 2.03303e11i 0.238414 + 0.114814i
$$528$$ 8.11880e11 1.47334e11i 0.454610 0.0824996i
$$529$$ −7.96604e11 + 3.49015e12i −0.442274 + 1.93773i
$$530$$ −9.34342e11 + 3.50665e11i −0.514357 + 0.193041i
$$531$$ 7.18090e11 9.00456e11i 0.391971 0.491516i
$$532$$ 2.64154e10 + 5.88184e11i 0.0142973 + 0.318354i
$$533$$ −2.39741e10 5.33824e11i −0.0128668 0.286501i
$$534$$ −1.66604e12 + 2.08914e12i −0.886643 + 1.11182i
$$535$$ 7.90839e11 2.96807e11i 0.417346 0.156633i
$$536$$ −3.98239e11 + 1.74480e12i −0.208402 + 0.913069i
$$537$$ 1.09959e12 1.99547e11i 0.570622 0.103553i
$$538$$ −2.06416e12 9.94046e11i −1.06224 0.511548i
$$539$$ −2.49718e12 + 1.49200e12i −1.27439 + 0.761410i
$$540$$ −1.82676e12 6.85593e11i −0.924504 0.346972i
$$541$$ 1.26993e12 1.92386e12i 0.637371 0.965575i −0.362071 0.932151i $$-0.617930\pi$$
0.999441 0.0334247i $$-0.0106414\pi$$
$$542$$ −5.72182e12 + 2.75548e12i −2.84798 + 1.37152i
$$543$$ 1.86062e12 1.35182e12i 0.918458 0.667299i
$$544$$ −1.21181e12 + 1.05873e12i −0.593254 + 0.518311i
$$545$$ 3.58188e11 + 4.49153e11i 0.173911 + 0.218077i
$$546$$ 3.70967e11 + 2.21642e11i 0.178636 + 0.106730i
$$547$$ −1.06751e11 1.61721e11i −0.0509834 0.0772366i 0.808188 0.588925i $$-0.200449\pi$$
−0.859171 + 0.511689i $$0.829020\pi$$
$$548$$ 2.04784e11 + 8.97216e11i 0.0970025 + 0.424996i
$$549$$ 4.08806e11 + 9.56448e11i 0.192062 + 0.449351i
$$550$$ 4.85913e12 4.37329e11i 2.26426 0.203787i
$$551$$ 9.73676e11 + 7.07417e11i 0.450020 + 0.326959i
$$552$$ −3.43530e12 6.23414e11i −1.57485 0.285793i
$$553$$ 6.33379e11 1.48186e12i 0.288005 0.673822i
$$554$$ 2.39802e11 7.38035e11i 0.108158 0.332876i
$$555$$ −7.71316e11 1.43335e12i −0.345075 0.641257i
$$556$$ −4.61081e11 4.82253e11i −0.204617 0.214012i
$$557$$ −1.99632e11 + 3.70978e11i −0.0878782 + 0.163305i −0.920741 0.390175i $$-0.872415\pi$$
0.832863 + 0.553480i $$0.186700\pi$$
$$558$$ −3.99297e11 + 1.10199e11i −0.174358 + 0.0481197i
$$559$$ 6.31960e9 + 4.66531e10i 0.00273739 + 0.0202082i
$$560$$ 2.51255e10 1.85484e11i 0.0107962 0.0797004i
$$561$$ −3.49891e12 9.65637e11i −1.49142 0.411605i
$$562$$ −8.59787e11 + 8.99267e11i −0.363561 + 0.380255i
$$563$$ −3.63673e11 1.11927e12i −0.152554 0.469513i 0.845351 0.534211i $$-0.179391\pi$$
−0.997905 + 0.0646987i $$0.979391\pi$$
$$564$$ 4.44261e12 + 3.99842e11i 1.84877 + 0.166392i
$$565$$ 2.46259e11 + 2.15150e11i 0.101666 + 0.0888226i
$$566$$ −3.32400e10 + 7.40145e11i −0.0136140 + 0.303140i
$$567$$ −3.74043e11 −0.151984
$$568$$ −3.09327e12 4.37879e11i −1.24695 0.176517i
$$569$$ −6.27305e10 −0.0250884 −0.0125442 0.999921i $$-0.503993\pi$$
−0.0125442 + 0.999921i $$0.503993\pi$$
$$570$$ 2.84080e10 6.32552e11i 0.0112721 0.250992i
$$571$$ 8.73753e11 + 7.63375e11i 0.343974 + 0.300521i 0.812538 0.582908i $$-0.198085\pi$$
−0.468563 + 0.883430i $$0.655228\pi$$
$$572$$ −3.12407e12 2.81172e11i −1.22022 0.109822i
$$573$$ 6.52485e11 + 2.00814e12i 0.252857 + 0.778214i
$$574$$ −1.06790e12 + 1.11694e12i −0.410609 + 0.429464i
$$575$$ −3.17107e12 8.75161e11i −1.20977 0.333874i
$$576$$ 2.45246e11 1.81048e12i 0.0928327 0.685319i
$$577$$ −7.81310e10 5.76786e11i −0.0293449 0.216633i 0.970340 0.241745i $$-0.0777198\pi$$
−0.999685 + 0.0251126i $$0.992006\pi$$
$$578$$ −1.05550e12 + 2.91299e11i −0.393352 + 0.108558i
$$579$$ −7.10618e11 + 1.32055e12i −0.262774 + 0.488317i
$$580$$ −2.45256e12 2.56518e12i −0.899899 0.941220i
$$581$$ 6.69297e11 + 1.24376e12i 0.243684 + 0.452840i
$$582$$ −1.05754e12 + 3.25478e12i −0.382072 + 1.17590i
$$583$$ 1.30632e12 3.05628e12i 0.468318 1.09568i
$$584$$ −5.22242e12 9.47729e11i −1.85786 0.337152i
$$585$$ 2.03631e11 + 1.47946e11i 0.0718856 + 0.0522279i
$$586$$ −3.86848e12 + 3.48169e11i −1.35519 + 0.121969i
$$587$$ −9.17219e11 2.14594e12i −0.318861 0.746013i −0.999905 0.0137703i $$-0.995617\pi$$
0.681044 0.732242i $$-0.261526\pi$$
$$588$$ 6.56643e11 + 2.87694e12i 0.226533 + 0.992505i
$$589$$ −1.49972e11 2.27198e11i −0.0513441 0.0777830i
$$590$$ −3.00581e12 1.79589e12i −1.02124 0.610163i
$$591$$ −1.95160e12 2.44723e12i −0.658033 0.825147i
$$592$$ −1.41942e12 + 1.24011e12i −0.474966 + 0.414965i
$$593$$ 3.88677e12 2.82390e12i 1.29075 0.937785i 0.290931 0.956744i $$-0.406035\pi$$
0.999820 + 0.0189588i $$0.00603512\pi$$
$$594$$ 9.18463e12 4.42309e12i 3.02707 1.45776i
$$595$$ −4.53597e11 + 6.87170e11i −0.148369 + 0.224770i
$$596$$ −2.33231e12 8.75332e11i −0.757144 0.284161i
$$597$$ −2.64927e12 + 1.58286e12i −0.853574 + 0.509987i
$$598$$ 2.98929e12 + 1.43957e12i 0.955901 + 0.460337i
$$599$$ −1.81105e12 + 3.28657e11i −0.574791 + 0.104309i −0.458166 0.888867i $$-0.651493\pi$$
−0.116625 + 0.993176i $$0.537208\pi$$
$$600$$ 4.74952e11 2.08090e12i 0.149613 0.655497i
$$601$$ 2.89354e12 1.08597e12i 0.904680 0.339532i 0.144698 0.989476i $$-0.453779\pi$$
0.759982 + 0.649944i $$0.225208\pi$$
$$602$$ 8.48864e10 1.06444e11i 0.0263423 0.0330322i
$$603$$ 4.97568e10 + 1.10792e12i 0.0153258 + 0.341256i
$$604$$ 2.30141e11 + 5.12449e12i 0.0703604 + 1.56670i
$$605$$ 2.74670e12 3.44425e12i 0.833511 1.04519i
$$606$$ 1.63384e11 6.13191e10i 0.0492134 0.0184701i
$$607$$ 7.73175e11 3.38750e12i 0.231169 1.01282i −0.717504 0.696555i $$-0.754715\pi$$
0.948672 0.316261i $$-0.102428\pi$$
$$608$$ 9.19884e11 1.66934e11i 0.273003 0.0495427i
$$609$$ −1.46712e12 7.06530e11i −0.432204 0.208139i
$$610$$ 2.71462e12 1.62191e12i 0.793826 0.474289i
$$611$$ −1.71151e12 6.42340e11i −0.496814 0.186457i
$$612$$ 1.72344e12 2.61089e12i 0.496608 0.752329i
$$613$$ −4.21026e12 + 2.02756e12i −1.20431 + 0.579964i −0.924900 0.380209i $$-0.875852\pi$$
−0.279406 + 0.960173i $$0.590138\pi$$
$$614$$ 1.26259e11 9.17324e10i 0.0358512 0.0260474i
$$615$$ 7.97784e11 6.97003e11i 0.224878 0.196470i
$$616$$ 2.43909e12 + 3.05853e12i 0.682520 + 0.855852i
$$617$$ 2.90059e12 + 1.73302e12i 0.805756 + 0.481417i 0.855785 0.517331i $$-0.173074\pi$$
−0.0500296 + 0.998748i $$0.515932\pi$$
$$618$$ 6.27061e11 + 9.49956e11i 0.172926 + 0.261972i
$$619$$ −8.21146e11 3.59768e12i −0.224808 0.984950i −0.953804 0.300431i $$-0.902869\pi$$
0.728995 0.684519i $$-0.239988\pi$$
$$620$$ 3.15504e11 + 7.38158e11i 0.0857516 + 0.200626i
$$621$$ −6.84599e12 + 6.16150e11i −1.84724 + 0.166255i
$$622$$ 4.19362e11 + 3.04685e11i 0.112340 + 0.0816194i
$$623$$ −1.98634e12 3.60468e11i −0.528272 0.0958673i
$$624$$ −1.34826e11 + 3.15442e11i −0.0355995 + 0.0832892i
$$625$$ 2.98548e11 9.18838e11i 0.0782627 0.240868i
$$626$$ −5.05582e12 9.39529e12i −1.31585 2.44526i
$$627$$ 1.45733e12 + 1.52425e12i 0.376578 + 0.393870i
$$628$$ 6.40542e11 1.19033e12i 0.164335 0.305385i
$$629$$ 7.99242e12 2.20577e12i 2.03587 0.561865i
$$630$$ −9.77069e10 7.21301e11i −0.0247111 0.182425i
$$631$$ 9.15491e11 6.75842e12i 0.229891 1.69712i −0.396840 0.917888i $$-0.629893\pi$$
0.626731 0.779235i $$-0.284392\pi$$
$$632$$ 7.73880e12 + 2.13577e12i 1.92951 + 0.532510i
$$633$$ −1.06679e12 + 1.11577e12i −0.264095 + 0.276222i
$$634$$ −4.03322e10 1.24130e11i −0.00991402 0.0305122i
$$635$$ 1.41242e12 + 1.27120e11i 0.344732 + 0.0310264i
$$636$$ −2.53914e12 2.21838e12i −0.615361 0.537625i
$$637$$ 5.42586e10 1.20816e12i 0.0130569 0.290735i
$$638$$ 1.85421e13 4.43063
$$639$$ −1.91997e12 + 2.48386e11i −0.455555 + 0.0589349i
$$640$$ −3.98653e12 −0.939257
$$641$$ −3.45740e11 + 7.69850e12i −0.0808888 + 1.80113i 0.391956 + 0.919984i $$0.371798\pi$$
−0.472845 + 0.881146i $$0.656773\pi$$
$$642$$ 3.37146e12 + 2.94556e12i 0.783268 + 0.684321i
$$643$$ −1.33204e12 1.19886e11i −0.307303 0.0276578i −0.0650854 0.997880i $$-0.520732\pi$$
−0.242218 + 0.970222i $$0.577875\pi$$
$$644$$ −1.89004e12 5.81695e12i −0.432997 1.33263i
$$645$$ −6.45001e10 + 6.74618e10i −0.0146738 + 0.0153476i
$$646$$ 3.10912e12 + 8.58064e11i 0.702412 + 0.193853i
$$647$$ 2.45036e11 1.80893e12i 0.0549745 0.405838i −0.942464 0.334308i $$-0.891497\pi$$
0.997438 0.0715302i $$-0.0227882\pi$$
$$648$$ −2.50122e11 1.84647e12i −0.0557268 0.411391i
$$649$$ 1.12413e13 3.10239e12i 2.48722 0.686429i
$$650$$ −9.61158e11 + 1.78613e12i −0.211196 + 0.392467i
$$651$$ 2.54541e11 + 2.66229e11i 0.0555447 + 0.0580952i
$$652$$ 5.47733e12 + 1.01786e13i 1.18701 + 2.20584i
$$653$$ 1.97494e12 6.07825e12i 0.425055 1.30819i −0.477886 0.878422i $$-0.658597\pi$$
0.902941 0.429764i $$-0.141403\pi$$
$$654$$ −1.19669e12 + 2.79979e12i −0.255788 + 0.598446i
$$655$$ −2.65110e12 4.81104e11i −0.562783 0.102130i
$$656$$ −9.92444e11 7.21053e11i −0.209237 0.152020i
$$657$$ −3.27589e12 + 2.94835e11i −0.685938 + 0.0617356i
$$658$$ 2.07775e12 + 4.86114e12i 0.432093 + 1.01093i
$$659$$ 8.32328e11 + 3.64667e12i 0.171914 + 0.753203i 0.985210 + 0.171353i $$0.0548138\pi$$
−0.813296 + 0.581850i $$0.802329\pi$$
$$660$$ −3.42576e12 5.18981e12i −0.702764 1.06464i
$$661$$ −4.78607e12 2.85955e12i −0.975153 0.582627i −0.0654364 0.997857i $$-0.520844\pi$$
−0.909716 + 0.415230i $$0.863701\pi$$
$$662$$ 7.09402e12 + 8.89562e12i 1.43559 + 1.80018i
$$663$$ 1.13641e12 9.92851e11i 0.228415 0.199560i
$$664$$ −5.69231e12 + 4.13571e12i −1.13640 + 0.825645i
$$665$$ 4.31001e11 2.07559e11i 0.0854636 0.0411571i
$$666$$ −4.03788e12 + 6.11713e12i −0.795280 + 1.20480i
$$667$$ −1.17052e13 4.39304e12i −2.28988 0.859407i
$$668$$ −1.28552e13 + 7.68065e12i −2.49796 + 1.49246i
$$669$$ −5.05270e12 2.43325e12i −0.975228 0.469645i
$$670$$ 3.31748e12 6.02034e11i 0.636021 0.115421i
$$671$$ −2.34354e12 + 1.02677e13i −0.446295 + 1.95535i
$$672$$ −1.18428e12 + 4.44468e11i −0.224023 + 0.0840772i
$$673$$ 1.09438e12 1.37231e12i 0.205637 0.257861i −0.668309 0.743884i $$-0.732982\pi$$
0.873946 + 0.486023i $$0.161553\pi$$
$$674$$ 5.58197e10 + 1.24292e12i 0.0104188 + 0.231993i
$$675$$ −1.88527e11 4.19787e12i −0.0349547 0.778327i
$$676$$ −5.13918e12 + 6.44432e12i −0.946528 + 1.18691i
$$677$$ 6.69475e12 2.51258e12i 1.22486 0.459696i 0.346657 0.937992i $$-0.387317\pi$$
0.878199 + 0.478295i $$0.158745\pi$$
$$678$$ −3.85661e11 + 1.68969e12i −0.0700926 + 0.307096i
$$679$$ −2.54399e12 + 4.61665e11i −0.459305 + 0.0833515i
$$680$$ −3.69555e12 1.77968e12i −0.662810 0.319193i
$$681$$ −2.76325e12 + 1.65096e12i −0.492332 + 0.294154i
$$682$$ −3.92668e12 1.47371e12i −0.695018 0.260845i
$$683$$ −3.26197e12 + 4.94167e12i −0.573570 + 0.868921i −0.999355 0.0359031i $$-0.988569\pi$$
0.425786 + 0.904824i $$0.359998\pi$$
$$684$$ −1.63759e12 + 7.88620e11i −0.286056 + 0.137757i
$$685$$ 6.04923e11 4.39503e11i 0.104977 0.0762700i
$$686$$ −5.97855e12 + 5.22330e12i −1.03071 + 0.900506i
$$687$$ 4.54032e11 + 5.69338e11i 0.0777644 + 0.0975135i
$$688$$ 9.27805e10 + 5.54338e10i 0.0157873 + 0.00943249i
$$689$$ 7.61247e11 + 1.15324e12i 0.128688 + 0.194955i
$$690$$ 1.46367e12 + 6.41275e12i 0.245823 + 1.07702i
$$691$$ −1.18525e12 2.77303e12i −0.197769 0.462704i 0.791063 0.611734i $$-0.209528\pi$$
−0.988833 + 0.149030i $$0.952385\pi$$
$$692$$ 1.17025e13 1.05324e12i 1.94000 0.174603i
$$693$$ 1.96124e12 + 1.42492e12i 0.323021 + 0.234688i
$$694$$ 1.06432e13 + 1.93146e12i 1.74163 + 0.316059i
$$695$$ −2.13058e11 + 4.98474e11i −0.0346391 + 0.0810422i
$$696$$ 2.50674e12 7.71496e12i 0.404919 1.24621i
$$697$$ 2.55712e12 + 4.75192e12i 0.410396 + 0.762644i
$$698$$ 4.35157e12 + 4.55138e12i 0.693899 + 0.725761i
$$699$$ 5.32337e10 9.89247e10i 0.00843411 0.0156732i
$$700$$ 3.60435e12 9.94739e11i 0.567396 0.156591i
$$701$$ −7.11948e10 5.25581e11i −0.0111357 0.0822070i 0.984529 0.175221i $$-0.0560641\pi$$
−0.995665 + 0.0930142i $$0.970350\pi$$
$$702$$ −5.68904e11 + 4.19982e12i −0.0884142 + 0.652700i
$$703$$ −4.64352e12 1.28153e12i −0.717049 0.197893i
$$704$$ 1.27840e13 1.33710e13i 1.96150 2.05157i
$$705$$ −1.11993e12 3.44678e12i −0.170742 0.525488i
$$706$$ −1.52172e13 1.36958e12i −2.30523 0.207475i
$$707$$ 9.92880e10 + 8.67453e10i 0.0149455 + 0.0130575i
$$708$$ 5.30742e11 1.18179e13i 0.0793841 1.76763i
$$709$$ −1.45921e12 −0.216875 −0.108437 0.994103i $$-0.534585\pi$$
−0.108437 + 0.994103i $$0.534585\pi$$
$$710$$ 1.53183e12 + 5.68286e12i 0.226229 + 0.839275i
$$711$$ 4.97493e12 0.730085
$$712$$ 4.51197e11 1.00467e13i 0.0657970 1.46508i
$$713$$ 2.12968e12 + 1.86064e12i 0.308610 + 0.269625i
$$714$$ −4.34637e12 3.91180e11i −0.625870 0.0563293i
$$715$$ 7.87542e11 + 2.42380e12i 0.112693 + 0.346833i
$$716$$ −6.73976e12 + 7.04924e12i −0.958376 + 1.00238i
$$717$$ −2.37336e12 6.55005e11i −0.335372 0.0925568i
$$718$$ 2.23126e12 1.64718e13i 0.313322 2.31303i
$$719$$ 1.51017e12 + 1.11485e13i 0.210739 + 1.55574i 0.719293 + 0.694706i $$0.244466\pi$$
−0.508555 + 0.861030i $$0.669820\pi$$
$$720$$ 5.57005e11 1.53724e11i 0.0772436 0.0213179i
$$721$$ −4.07504e11 + 7.57270e11i −0.0561595 + 0.104362i
$$722$$ 7.08523e12 + 7.41057e12i 0.970368 + 1.01493i
$$723$$ 5.59814e11 + 1.04031e12i 0.0761941 + 0.141592i
$$724$$ −6.20214e12 + 1.90882e13i −0.838916 + 2.58192i
$$725$$ 3.00396e12 7.02810e12i 0.403806 0.944750i
$$726$$ 2.29733e13 + 4.16904e12i 3.06909 + 0.556957i
$$727$$ −9.34468e12 6.78930e12i −1.24068 0.901406i −0.243035 0.970017i $$-0.578143\pi$$
−0.997643 + 0.0686115i $$0.978143\pi$$
$$728$$ −1.61985e12 + 1.45789e11i −0.213738 + 0.0192368i
$$729$$ −2.81848e12 6.59417e12i −0.369608 0.864741i
$$730$$ 2.22510e12 + 9.74882e12i 0.290000 + 1.27057i
$$731$$ −2.61913e11 3.96781e11i −0.0339257 0.0513952i
$$732$$ 9.17147e12 + 5.47970e12i 1.18070 + 0.705435i
$$733$$ 7.58249e12 + 9.50814e12i 0.970161 + 1.21654i 0.976269 + 0.216562i $$0.0694842\pi$$
−0.00610823 + 0.999981i $$0.501944\pi$$
$$734$$ 3.61678e11 3.15988e11i 0.0459928 0.0401827i
$$735$$ 1.93970e12 1.40927e12i 0.245155 0.178116i
$$736$$ −8.75018e12 + 4.21386e12i −1.09917 + 0.529335i
$$737$$ −6.18617e12 + 9.37165e12i −0.772358 + 1.17007i
$$738$$ −4.46625e12 1.67621e12i −0.554229 0.208006i
$$739$$ 1.89197e12 1.13040e12i 0.233354 0.139422i −0.391463 0.920194i $$-0.628031\pi$$
0.624817 + 0.780772i $$0.285174\pi$$
$$740$$ 1.27980e13 + 6.16320e12i 1.56892 + 0.755551i
$$741$$ −8.62645e11 + 1.56547e11i −0.105111 + 0.0190749i
$$742$$ 8.89213e11 3.89590e12i 0.107693 0.471835i
$$743$$ 5.22422e12 1.96068e12i 0.628885 0.236025i −0.0165216 0.999864i $$-0.505259\pi$$
0.645407 + 0.763839i $$0.276688\pi$$
$$744$$ −1.14403e12 + 1.43457e12i −0.136887 + 0.171650i
$$745$$ 9.08084e10 + 2.02201e12i 0.0108000 + 0.240480i
$$746$$ −1.19961e12 2.67115e13i −0.141813 3.15772i
$$747$$ −2.71853e12 + 3.40893e12i −0.319441 + 0.400567i
$$748$$ 2.96562e13 1.11302e13i 3.46384 1.30000i
$$749$$ −7.52641e11 + 3.29753e12i −0.0873815 + 0.382843i
$$750$$ −9.40572e12 + 1.70689e12i −1.08547 + 0.196983i
$$751$$ 1.15469e13 + 5.56071e12i 1.32461 + 0.637896i 0.956458 0.291871i $$-0.0942777\pi$$
0.368148 + 0.929767i $$0.379992\pi$$
$$752$$ −3.60265e12 + 2.15248e12i −0.410810 + 0.245448i