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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 $2$

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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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9} - 53448 q^{10} - 170685 q^{11} + 138323 q^{12} - 93291 q^{13} + 985964 q^{14} - 966194 q^{15} + 4755334 q^{16} + 2558412 q^{17} - 2619769 q^{18} - 172269 q^{19} + 738120 q^{20} + 1797929 q^{21} + 3015622 q^{22} + 6635088 q^{23} + 4803145 q^{24} - 115100016 q^{25} + 19254293 q^{26} - 17686931 q^{27} + 15761532 q^{28} - 10052927 q^{29} + 62637435 q^{30} - 23748991 q^{31} + 10388192 q^{32} - 15097203 q^{33} + 33217854 q^{34} - 24823174 q^{35} + 27856812 q^{36} - 27156308 q^{37} - 43400577 q^{38} + 251072838 q^{39} - 129856160 q^{40} + 62087988 q^{41} - 91873950 q^{42} - 167299067 q^{43} + 60914131 q^{44} - 31536191 q^{45} - 50201490 q^{46} - 23317743 q^{47} + 10641329 q^{48} + 338745866 q^{49} + 303770229 q^{50} + 448039613 q^{51} - 979580293 q^{52} + 12085215 q^{53} - 182583505 q^{54} - 243892552 q^{55} + 30440435 q^{56} + 714581966 q^{57} - 244549660 q^{58} - 859013315 q^{59} - 1894499000 q^{60} - 876373921 q^{61} + 186553636 q^{62} - 196611021 q^{63} + 5528242635 q^{64} + 867018244 q^{65} + 2727701199 q^{66} - 286780089 q^{67} - 1689988351 q^{68} - 3073308182 q^{69} - 41489396 q^{70} - 2538053548 q^{71} - 6821388000 q^{72} + 128479023 q^{73} + 3282772334 q^{74} + 3407782757 q^{75} + 7133788844 q^{76} + 1087098389 q^{77} + 2715049934 q^{78} + 144243625 q^{79} - 7443877603 q^{80} - 4083269278 q^{81} - 10375744380 q^{82} + 1543773955 q^{83} - 4117054288 q^{84} + 7843382686 q^{85} + 3545751759 q^{86} + 5261609811 q^{87} - 818728797 q^{88} - 1369081479 q^{89} + 10041256259 q^{90} - 7299574322 q^{91} + 602797624 q^{92} - 2146129677 q^{93} - 683447510 q^{94} - 7007204038 q^{95} + 6601829126 q^{96} - 10081488030 q^{97} - 5942379880 q^{98} - 4074592265 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Display 100 coefficients 10 coefficients

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 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −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