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Properties

Label 71.10.g.a.2.19
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 2.19
Character \(\chi\) \(=\) 71.2
Dual form 71.10.g.a.36.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.665801 + 14.8252i) q^{2} +(166.472 + 145.442i) q^{3} +(290.595 + 26.1541i) q^{4} +(466.454 + 1435.60i) q^{5} +(-2267.05 + 2371.15i) q^{6} +(6112.18 + 1686.86i) q^{7} +(-1601.14 + 11820.1i) q^{8} +(3917.40 + 28919.4i) q^{9} +O(q^{10})\) \(q+(-0.665801 + 14.8252i) q^{2} +(166.472 + 145.442i) q^{3} +(290.595 + 26.1541i) q^{4} +(466.454 + 1435.60i) q^{5} +(-2267.05 + 2371.15i) q^{6} +(6112.18 + 1686.86i) q^{7} +(-1601.14 + 11820.1i) q^{8} +(3917.40 + 28919.4i) q^{9} +(-21593.6 + 5959.46i) q^{10} +(-3754.88 + 6977.74i) q^{11} +(44572.2 + 46618.8i) q^{12} +(-65820.9 - 122316. i) q^{13} +(-29077.5 + 89491.3i) q^{14} +(-131145. + 306830. i) q^{15} +(-27184.1 - 4933.19i) q^{16} +(36614.3 + 26601.8i) q^{17} +(-431345. + 38821.7i) q^{18} +(164497. + 384859. i) q^{19} +(98002.7 + 429378. i) q^{20} +(772169. + 1.16979e6i) q^{21} +(-100946. - 60312.7i) q^{22} +(-1.14045e6 - 1.43008e6i) q^{23} +(-1.98569e6 + 1.73485e6i) q^{24} +(-263253. + 191264. i) q^{25} +(1.85718e6 - 894371. i) q^{26} +(-1.15698e6 + 1.75274e6i) q^{27} +(1.73205e6 + 650051. i) q^{28} +(3.81527e6 - 2.27952e6i) q^{29} +(-4.46150e6 - 2.14854e6i) q^{30} +(9.45748e6 - 1.71628e6i) q^{31} +(-1.26774e6 + 5.55432e6i) q^{32} +(-1.63994e6 + 615481. i) q^{33} +(-418756. + 525103. i) q^{34} +(429407. + 9.56149e6i) q^{35} +(382019. + 8.50630e6i) q^{36} +(6.34132e6 - 7.95177e6i) q^{37} +(-5.81514e6 + 2.18246e6i) q^{38} +(6.83254e6 - 2.99353e7i) q^{39} +(-1.77158e7 + 3.21494e6i) q^{40} +(-2.78134e7 - 1.33942e7i) q^{41} +(-1.78564e7 + 1.06687e7i) q^{42} +(1.57015e7 + 5.89287e6i) q^{43} +(-1.27365e6 + 1.92949e6i) q^{44} +(-3.96894e7 + 1.91134e7i) q^{45} +(2.19605e7 - 1.59553e7i) q^{46} +(-2.43391e7 + 2.12645e7i) q^{47} +(-3.80791e6 - 4.77497e6i) q^{48} +(-128186. - 76587.9i) q^{49} +(-2.66026e6 - 4.03012e6i) q^{50} +(2.22623e6 + 9.75374e6i) q^{51} +(-1.59282e7 - 3.72659e7i) q^{52} +(1.03507e7 - 931580. i) q^{53} +(-2.52145e7 - 1.83194e7i) q^{54} +(-1.17687e7 - 2.13571e6i) q^{55} +(-2.97253e7 + 6.95458e7i) q^{56} +(-2.85907e7 + 8.79932e7i) q^{57} +(3.12541e7 + 5.80799e7i) q^{58} +(-9.12337e7 - 9.54230e7i) q^{59} +(-4.61351e7 + 8.57333e7i) q^{60} +(-9.36372e7 + 2.58422e7i) q^{61} +(1.91474e7 + 1.41352e8i) q^{62} +(-2.48390e7 + 1.83369e8i) q^{63} +(-9.51358e7 - 2.62558e7i) q^{64} +(1.44894e8 - 1.51547e8i) q^{65} +(-8.03276e6 - 2.47223e7i) q^{66} +(2.52403e7 + 2.27167e6i) q^{67} +(9.94420e6 + 8.68798e6i) q^{68} +(1.81409e7 - 4.03939e8i) q^{69} -1.42037e8 q^{70} +(-1.66762e8 + 1.34309e8i) q^{71} -3.48103e8 q^{72} +(9.03376e6 - 2.01152e8i) q^{73} +(1.13665e8 + 9.93057e7i) q^{74} +(-7.16423e7 - 6.44792e6i) q^{75} +(3.77363e7 + 1.16140e8i) q^{76} +(-3.47210e7 + 3.63153e7i) q^{77} +(4.39248e8 + 1.21225e8i) q^{78} +(2.05838e7 - 1.51955e8i) q^{79} +(-5.59807e6 - 4.13266e7i) q^{80} +(1.06191e8 - 2.93069e7i) q^{81} +(2.17091e8 - 4.03422e8i) q^{82} +(1.01770e8 + 1.06443e8i) q^{83} +(1.93794e8 + 3.60130e8i) q^{84} +(-2.11107e7 + 6.49720e7i) q^{85} +(-9.78171e7 + 2.28854e8i) q^{86} +(9.66675e8 + 1.75426e8i) q^{87} +(-7.64656e7 - 5.55555e7i) q^{88} +(-4.19622e8 + 3.77666e7i) q^{89} +(-2.56935e8 - 6.01129e8i) q^{90} +(-1.95980e8 - 8.58647e8i) q^{91} +(-2.94007e8 - 4.45402e8i) q^{92} +(1.82403e9 + 1.08981e9i) q^{93} +(-2.99045e8 - 3.74991e8i) q^{94} +(-4.75773e8 + 4.15670e8i) q^{95} +(-1.01888e9 + 7.40258e8i) q^{96} +(7.10522e8 - 3.42169e8i) q^{97} +(1.22078e6 - 1.84940e6i) q^{98} +(-2.16502e8 - 8.12544e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.665801 + 14.8252i −0.0294245 + 0.655188i 0.929041 + 0.369978i \(0.120635\pi\)
−0.958465 + 0.285210i \(0.907937\pi\)
\(3\) 166.472 + 145.442i 1.18658 + 1.03668i 0.998512 + 0.0545256i \(0.0173647\pi\)
0.188066 + 0.982156i \(0.439778\pi\)
\(4\) 290.595 + 26.1541i 0.567569 + 0.0510821i
\(5\) 466.454 + 1435.60i 0.333768 + 1.02723i 0.967326 + 0.253536i \(0.0815936\pi\)
−0.633558 + 0.773695i \(0.718406\pi\)
\(6\) −2267.05 + 2371.15i −0.714136 + 0.746928i
\(7\) 6112.18 + 1686.86i 0.962178 + 0.265544i 0.711626 − 0.702559i \(-0.247959\pi\)
0.250552 + 0.968103i \(0.419388\pi\)
\(8\) −1601.14 + 11820.1i −0.138205 + 1.02027i
\(9\) 3917.40 + 28919.4i 0.199025 + 1.46926i
\(10\) −21593.6 + 5959.46i −0.682850 + 0.188455i
\(11\) −3754.88 + 6977.74i −0.0773267 + 0.143697i −0.916323 − 0.400440i \(-0.868857\pi\)
0.838996 + 0.544137i \(0.183143\pi\)
\(12\) 44572.2 + 46618.8i 0.620509 + 0.649002i
\(13\) −65820.9 − 122316.i −0.639173 − 1.18778i −0.969772 − 0.244012i \(-0.921536\pi\)
0.330599 − 0.943771i \(-0.392749\pi\)
\(14\) −29077.5 + 89491.3i −0.202293 + 0.622594i
\(15\) −131145. + 306830.i −0.668871 + 1.56490i
\(16\) −27184.1 − 4933.19i −0.103699 − 0.0188186i
\(17\) 36614.3 + 26601.8i 0.106324 + 0.0772488i 0.639677 − 0.768644i \(-0.279068\pi\)
−0.533353 + 0.845893i \(0.679068\pi\)
\(18\) −431345. + 38821.7i −0.968497 + 0.0871663i
\(19\) 164497. + 384859.i 0.289578 + 0.677502i 0.999645 − 0.0266322i \(-0.00847828\pi\)
−0.710067 + 0.704134i \(0.751335\pi\)
\(20\) 98002.7 + 429378.i 0.136963 + 0.600074i
\(21\) 772169. + 1.16979e6i 0.866414 + 1.31256i
\(22\) −100946. − 60312.7i −0.0918733 − 0.0548917i
\(23\) −1.14045e6 − 1.43008e6i −0.849770 − 1.06558i −0.997071 − 0.0764858i \(-0.975630\pi\)
0.147301 − 0.989092i \(-0.452941\pi\)
\(24\) −1.98569e6 + 1.73485e6i −1.22169 + 1.06736i
\(25\) −263253. + 191264.i −0.134785 + 0.0979274i
\(26\) 1.85718e6 − 894371.i 0.797028 − 0.383829i
\(27\) −1.15698e6 + 1.75274e6i −0.418974 + 0.634719i
\(28\) 1.73205e6 + 650051.i 0.532538 + 0.199865i
\(29\) 3.81527e6 − 2.27952e6i 1.00169 − 0.598483i 0.0842886 − 0.996441i \(-0.473138\pi\)
0.917404 + 0.397958i \(0.130281\pi\)
\(30\) −4.46150e6 − 2.14854e6i −1.00562 − 0.484282i
\(31\) 9.45748e6 − 1.71628e6i 1.83928 − 0.333780i 0.856155 − 0.516719i \(-0.172847\pi\)
0.983124 + 0.182939i \(0.0585611\pi\)
\(32\) −1.26774e6 + 5.55432e6i −0.213725 + 0.936389i
\(33\) −1.63994e6 + 615481.i −0.240722 + 0.0903446i
\(34\) −418756. + 525103.i −0.0537410 + 0.0673891i
\(35\) 429407. + 9.56149e6i 0.0483685 + 1.07701i
\(36\) 382019. + 8.50630e6i 0.0379073 + 0.844072i
\(37\) 6.34132e6 − 7.95177e6i 0.556253 − 0.697519i −0.421607 − 0.906778i \(-0.638534\pi\)
0.977860 + 0.209260i \(0.0671054\pi\)
\(38\) −5.81514e6 + 2.18246e6i −0.452412 + 0.169793i
\(39\) 6.83254e6 − 2.99353e7i 0.472924 − 2.07202i
\(40\) −1.77158e7 + 3.21494e6i −1.09419 + 0.198565i
\(41\) −2.78134e7 − 1.33942e7i −1.53719 − 0.740271i −0.542200 − 0.840250i \(-0.682408\pi\)
−0.994990 + 0.0999780i \(0.968123\pi\)
\(42\) −1.78564e7 + 1.06687e7i −0.885468 + 0.529042i
\(43\) 1.57015e7 + 5.89287e6i 0.700379 + 0.262857i 0.676059 − 0.736848i \(-0.263687\pi\)
0.0243200 + 0.999704i \(0.492258\pi\)
\(44\) −1.27365e6 + 1.92949e6i −0.0512286 + 0.0776080i
\(45\) −3.96894e7 + 1.91134e7i −1.44284 + 0.694835i
\(46\) 2.19605e7 − 1.59553e7i 0.723158 − 0.525405i
\(47\) −2.43391e7 + 2.12645e7i −0.727554 + 0.635644i −0.939860 − 0.341559i \(-0.889045\pi\)
0.212307 + 0.977203i \(0.431902\pi\)
\(48\) −3.80791e6 − 4.77497e6i −0.103538 − 0.129833i
\(49\) −128186. − 76587.9i −0.00317658 − 0.00189792i
\(50\) −2.66026e6 − 4.03012e6i −0.0601948 − 0.0911912i
\(51\) 2.22623e6 + 9.75374e6i 0.0460791 + 0.201886i
\(52\) −1.59282e7 − 3.72659e7i −0.302100 − 0.706799i
\(53\) 1.03507e7 − 931580.i 0.180189 − 0.0162173i 0.000822731 − 1.00000i \(-0.499738\pi\)
0.179366 + 0.983782i \(0.442595\pi\)
\(54\) −2.52145e7 − 1.83194e7i −0.403532 − 0.293183i
\(55\) −1.17687e7 − 2.13571e6i −0.173419 − 0.0314709i
\(56\) −2.97253e7 + 6.95458e7i −0.403906 + 0.944985i
\(57\) −2.85907e7 + 8.79932e7i −0.358747 + 1.10411i
\(58\) 3.12541e7 + 5.80799e7i 0.362645 + 0.673907i
\(59\) −9.12337e7 − 9.54230e7i −0.980215 − 1.02522i −0.999677 − 0.0254142i \(-0.991910\pi\)
0.0194618 − 0.999811i \(-0.493805\pi\)
\(60\) −4.61351e7 + 8.57333e7i −0.459569 + 0.854022i
\(61\) −9.36372e7 + 2.58422e7i −0.865893 + 0.238971i −0.670641 − 0.741782i \(-0.733981\pi\)
−0.195252 + 0.980753i \(0.562552\pi\)
\(62\) 1.91474e7 + 1.41352e8i 0.164569 + 1.21489i
\(63\) −2.48390e7 + 1.83369e8i −0.198656 + 1.46654i
\(64\) −9.51358e7 − 2.62558e7i −0.708817 − 0.195621i
\(65\) 1.44894e8 − 1.51547e8i 1.00679 − 1.05302i
\(66\) −8.03276e6 − 2.47223e7i −0.0521095 − 0.160377i
\(67\) 2.52403e7 + 2.27167e6i 0.153024 + 0.0137724i 0.165886 − 0.986145i \(-0.446952\pi\)
−0.0128626 + 0.999917i \(0.504094\pi\)
\(68\) 9.94420e6 + 8.68798e6i 0.0564001 + 0.0492753i
\(69\) 1.81409e7 − 4.03939e8i 0.0963470 − 2.14533i
\(70\) −1.42037e8 −0.707066
\(71\) −1.66762e8 + 1.34309e8i −0.778816 + 0.627253i
\(72\) −3.48103e8 −1.52655
\(73\) 9.03376e6 − 2.01152e8i 0.0372319 − 0.829034i −0.890319 − 0.455337i \(-0.849519\pi\)
0.927551 − 0.373697i \(-0.121910\pi\)
\(74\) 1.13665e8 + 9.93057e7i 0.440638 + 0.384974i
\(75\) −7.16423e7 − 6.44792e6i −0.261453 − 0.0235312i
\(76\) 3.77363e7 + 1.16140e8i 0.129747 + 0.399321i
\(77\) −3.47210e7 + 3.63153e7i −0.112560 + 0.117728i
\(78\) 4.39248e8 + 1.21225e8i 1.34364 + 0.370822i
\(79\) 2.05838e7 − 1.51955e8i 0.0594570 − 0.438929i −0.936613 − 0.350364i \(-0.886058\pi\)
0.996070 − 0.0885647i \(-0.0282280\pi\)
\(80\) −5.59807e6 − 4.13266e7i −0.0152804 − 0.112804i
\(81\) 1.06191e8 − 2.93069e7i 0.274098 − 0.0756463i
\(82\) 2.17091e8 − 4.03422e8i 0.530248 − 0.985366i
\(83\) 1.01770e8 + 1.06443e8i 0.235380 + 0.246188i 0.829926 − 0.557874i \(-0.188383\pi\)
−0.594546 + 0.804061i \(0.702668\pi\)
\(84\) 1.93794e8 + 3.60130e8i 0.424701 + 0.789227i
\(85\) −2.11107e7 + 6.49720e7i −0.0438649 + 0.135002i
\(86\) −9.78171e7 + 2.28854e8i −0.192829 + 0.451145i
\(87\) 9.66675e8 + 1.75426e8i 1.80902 + 0.328289i
\(88\) −7.64656e7 − 5.55555e7i −0.135923 − 0.0987541i
\(89\) −4.19622e8 + 3.77666e7i −0.708929 + 0.0638048i −0.438235 − 0.898861i \(-0.644396\pi\)
−0.270694 + 0.962665i \(0.587253\pi\)
\(90\) −2.56935e8 − 6.01129e8i −0.412793 − 0.965776i
\(91\) −1.95980e8 − 8.58647e8i −0.299589 − 1.31259i
\(92\) −2.94007e8 − 4.45402e8i −0.427871 − 0.648197i
\(93\) 1.82403e9 + 1.08981e9i 2.52847 + 1.51069i
\(94\) −2.99045e8 − 3.74991e8i −0.395059 − 0.495388i
\(95\) −4.75773e8 + 4.15670e8i −0.599299 + 0.523592i
\(96\) −1.01888e9 + 7.40258e8i −1.22434 + 0.889534i
\(97\) 7.10522e8 − 3.42169e8i 0.814901 − 0.392435i 0.0204701 − 0.999790i \(-0.493484\pi\)
0.794431 + 0.607355i \(0.207769\pi\)
\(98\) 1.22078e6 − 1.84940e6i 0.00133696 − 0.00202541i
\(99\) −2.16502e8 − 8.12544e7i −0.226518 − 0.0850137i
\(100\) −8.15024e7 + 4.86954e7i −0.0815024 + 0.0486954i
\(101\) 5.34549e8 + 2.57425e8i 0.511141 + 0.246153i 0.671632 − 0.740885i \(-0.265593\pi\)
−0.160491 + 0.987037i \(0.551308\pi\)
\(102\) −1.46084e8 + 2.65102e7i −0.133629 + 0.0242501i
\(103\) −3.16009e8 + 1.38452e9i −0.276650 + 1.21208i 0.625348 + 0.780346i \(0.284957\pi\)
−0.901999 + 0.431739i \(0.857900\pi\)
\(104\) 1.55117e9 − 5.82166e8i 1.30020 − 0.487974i
\(105\) −1.31916e9 + 1.65418e9i −1.05912 + 1.32810i
\(106\) 6.91936e6 + 1.54072e8i 0.00532341 + 0.118535i
\(107\) −2.93083e7 − 6.52600e8i −0.0216154 − 0.481305i −0.980382 − 0.197109i \(-0.936845\pi\)
0.958766 − 0.284196i \(-0.0917266\pi\)
\(108\) −3.82053e8 + 4.79080e8i −0.270220 + 0.338845i
\(109\) 7.75385e8 − 2.91007e8i 0.526136 − 0.197462i −0.0741504 − 0.997247i \(-0.523625\pi\)
0.600287 + 0.799785i \(0.295053\pi\)
\(110\) 3.94979e7 − 1.73052e8i 0.0257222 − 0.112696i
\(111\) 2.21218e9 − 4.01451e8i 1.38314 − 0.251003i
\(112\) −1.57833e8 − 7.60083e7i −0.0947799 − 0.0456436i
\(113\) −1.58847e9 + 9.49067e8i −0.916486 + 0.547575i −0.891955 − 0.452124i \(-0.850666\pi\)
−0.0245313 + 0.999699i \(0.507809\pi\)
\(114\) −1.28548e9 − 4.82449e8i −0.712843 − 0.267534i
\(115\) 1.52105e9 − 2.30430e9i 0.810969 − 1.22856i
\(116\) 1.16832e9 − 5.62632e8i 0.599101 − 0.288512i
\(117\) 3.27945e9 − 2.38266e9i 1.61795 − 1.17551i
\(118\) 1.47541e9 − 1.28903e9i 0.700557 − 0.612058i
\(119\) 1.78920e8 + 2.24358e8i 0.0817894 + 0.102561i
\(120\) −3.41678e9 − 2.04143e9i −1.50419 − 0.898709i
\(121\) 1.26440e9 + 1.91548e9i 0.536228 + 0.812350i
\(122\) −3.20773e8 − 1.40540e9i −0.131093 − 0.574354i
\(123\) −2.68208e9 − 6.27503e9i −1.05657 − 2.47197i
\(124\) 2.79319e9 − 2.51391e8i 1.06097 − 0.0954889i
\(125\) 1.98777e9 + 1.44420e9i 0.728234 + 0.529093i
\(126\) −2.70194e9 − 4.90331e8i −0.955012 − 0.173309i
\(127\) 7.76014e8 − 1.81557e9i 0.264699 − 0.619295i −0.733474 − 0.679718i \(-0.762102\pi\)
0.998173 + 0.0604233i \(0.0192451\pi\)
\(128\) −4.48797e8 + 1.38126e9i −0.147776 + 0.454809i
\(129\) 1.75679e9 + 3.26466e9i 0.558555 + 1.03797i
\(130\) 2.15025e9 + 2.24898e9i 0.660303 + 0.690623i
\(131\) −5.41659e8 + 1.00657e9i −0.160696 + 0.298623i −0.948193 − 0.317696i \(-0.897091\pi\)
0.787497 + 0.616319i \(0.211377\pi\)
\(132\) −4.92657e8 + 1.35965e8i −0.141242 + 0.0389802i
\(133\) 3.56232e8 + 2.62981e9i 0.0987190 + 0.728773i
\(134\) −5.04830e7 + 3.72681e8i −0.0135261 + 0.0998540i
\(135\) −3.05591e9 − 8.43378e8i −0.791843 − 0.218535i
\(136\) −3.73062e8 + 3.90192e8i −0.0935094 + 0.0978032i
\(137\) −1.31795e9 − 4.05622e9i −0.319635 − 0.983737i −0.973804 − 0.227388i \(-0.926981\pi\)
0.654169 − 0.756349i \(-0.273019\pi\)
\(138\) 5.97640e9 + 5.37885e8i 1.40276 + 0.126251i
\(139\) −6.21613e9 − 5.43087e9i −1.41239 − 1.23396i −0.934702 − 0.355433i \(-0.884333\pi\)
−0.477684 − 0.878532i \(-0.658524\pi\)
\(140\) −1.25288e8 + 2.78975e9i −0.0275634 + 0.613747i
\(141\) −7.14455e9 −1.52226
\(142\) −1.88013e9 − 2.56171e9i −0.388052 − 0.528727i
\(143\) 1.10064e9 0.220106
\(144\) 3.61739e7 − 8.05475e8i 0.00701075 − 0.156106i
\(145\) 5.05212e9 + 4.41391e9i 0.949113 + 0.829215i
\(146\) 2.97611e9 + 2.67855e8i 0.542077 + 0.0487878i
\(147\) −1.02004e7 − 3.13935e7i −0.00180172 − 0.00554513i
\(148\) 2.05073e9 − 2.14489e9i 0.351342 − 0.367475i
\(149\) 5.01044e9 + 1.38279e9i 0.832794 + 0.229837i 0.656333 − 0.754471i \(-0.272107\pi\)
0.176461 + 0.984308i \(0.443535\pi\)
\(150\) 1.43291e8 − 1.05782e9i 0.0231105 − 0.170608i
\(151\) 1.08702e9 + 8.02471e9i 0.170154 + 1.25613i 0.851574 + 0.524234i \(0.175648\pi\)
−0.681420 + 0.731892i \(0.738637\pi\)
\(152\) −4.81246e9 + 1.32815e9i −0.731259 + 0.201815i
\(153\) −6.25877e8 + 1.16307e9i −0.0923374 + 0.171592i
\(154\) −5.15265e8 − 5.38925e8i −0.0738222 − 0.0772120i
\(155\) 6.87537e9 + 1.27766e10i 0.956761 + 1.77796i
\(156\) 2.76844e9 − 8.52037e9i 0.374260 − 1.15185i
\(157\) −4.45309e9 + 1.04185e10i −0.584942 + 1.36854i 0.321781 + 0.946814i \(0.395718\pi\)
−0.906723 + 0.421726i \(0.861424\pi\)
\(158\) 2.23907e9 + 4.06331e8i 0.285832 + 0.0518708i
\(159\) 1.85860e9 + 1.35035e9i 0.230621 + 0.167556i
\(160\) −8.56512e9 + 7.70875e8i −1.03322 + 0.0929917i
\(161\) −4.55831e9 − 1.06647e10i −0.534672 − 1.25093i
\(162\) 3.63779e8 + 1.59382e9i 0.0414973 + 0.181812i
\(163\) 5.50485e9 + 8.33949e9i 0.610803 + 0.925327i 0.999991 + 0.00416867i \(0.00132693\pi\)
−0.389188 + 0.921158i \(0.627244\pi\)
\(164\) −7.73214e9 − 4.61974e9i −0.834646 − 0.498678i
\(165\) −1.64854e9 − 2.06721e9i −0.173150 − 0.217123i
\(166\) −1.64580e9 + 1.43789e9i −0.168225 + 0.146974i
\(167\) −9.36720e9 + 6.80567e9i −0.931935 + 0.677090i −0.946466 − 0.322804i \(-0.895375\pi\)
0.0145307 + 0.999894i \(0.495375\pi\)
\(168\) −1.50634e10 + 7.25413e9i −1.45892 + 0.702577i
\(169\) −4.78676e9 + 7.25163e9i −0.451389 + 0.683826i
\(170\) −9.49168e8 − 3.56229e8i −0.0871611 − 0.0327121i
\(171\) −1.04855e10 + 6.26479e9i −0.937792 + 0.560305i
\(172\) 4.40866e9 + 2.12310e9i 0.384086 + 0.184966i
\(173\) 7.99568e9 − 1.45100e9i 0.678653 − 0.123157i 0.171724 − 0.985145i \(-0.445066\pi\)
0.506929 + 0.861988i \(0.330781\pi\)
\(174\) −3.24434e9 + 1.42144e10i −0.268321 + 1.17559i
\(175\) −1.93169e9 + 7.24974e8i −0.155692 + 0.0584320i
\(176\) 1.36496e8 − 1.71160e8i 0.0107229 − 0.0134461i
\(177\) −1.30933e9 − 2.91545e10i −0.100270 − 2.23268i
\(178\) −2.80514e8 − 6.24612e9i −0.0209442 − 0.466359i
\(179\) −1.00045e10 + 1.25452e10i −0.728374 + 0.913353i −0.998779 − 0.0493941i \(-0.984271\pi\)
0.270405 + 0.962747i \(0.412842\pi\)
\(180\) −1.20334e10 + 4.51623e9i −0.854405 + 0.320664i
\(181\) 3.38474e9 − 1.48295e10i 0.234407 − 1.02701i −0.711530 − 0.702656i \(-0.751997\pi\)
0.945937 − 0.324350i \(-0.105146\pi\)
\(182\) 1.28601e10 − 2.33376e9i 0.868806 − 0.157665i
\(183\) −1.93466e10 − 9.31681e9i −1.27519 − 0.614097i
\(184\) 1.87297e10 − 1.11905e10i 1.20462 − 0.719729i
\(185\) 1.43735e10 + 5.39446e9i 0.902172 + 0.338591i
\(186\) −1.73710e10 + 2.63160e10i −1.06419 + 1.61217i
\(187\) −3.23103e8 + 1.55598e8i −0.0193221 + 0.00930503i
\(188\) −7.62899e9 + 5.54279e9i −0.445407 + 0.323607i
\(189\) −1.00283e10 + 8.76144e9i −0.571674 + 0.499456i
\(190\) −5.84563e9 − 7.33019e9i −0.325417 − 0.408060i
\(191\) −7.24261e9 − 4.32726e9i −0.393772 − 0.235268i 0.302341 − 0.953200i \(-0.402232\pi\)
−0.696113 + 0.717932i \(0.745089\pi\)
\(192\) −1.20188e10 − 1.82077e10i −0.638270 − 0.966937i
\(193\) −2.35862e9 − 1.03338e10i −0.122363 − 0.536108i −0.998535 − 0.0541093i \(-0.982768\pi\)
0.876172 − 0.481999i \(-0.160089\pi\)
\(194\) 4.59967e9 + 1.07615e10i 0.233141 + 0.545460i
\(195\) 4.61622e10 − 4.15467e9i 2.28629 − 0.205770i
\(196\) −3.52473e7 − 2.56087e7i −0.00170598 − 0.00123947i
\(197\) 2.71839e10 + 4.93315e9i 1.28592 + 0.233360i 0.778120 − 0.628116i \(-0.216174\pi\)
0.507799 + 0.861476i \(0.330459\pi\)
\(198\) 1.34876e9 − 3.15558e9i 0.0623651 − 0.145910i
\(199\) 7.59156e9 − 2.33644e10i 0.343157 − 1.05613i −0.619407 − 0.785070i \(-0.712627\pi\)
0.962563 − 0.271057i \(-0.0873732\pi\)
\(200\) −1.83926e9 − 3.41792e9i −0.0812846 − 0.151052i
\(201\) 3.87142e9 + 4.04919e9i 0.167297 + 0.174979i
\(202\) −4.17228e9 + 7.75340e9i −0.176316 + 0.327651i
\(203\) 2.71649e10 − 7.49702e9i 1.12273 − 0.309854i
\(204\) 3.91832e8 + 2.89262e9i 0.0158403 + 0.116938i
\(205\) 6.25507e9 − 4.61768e10i 0.247366 − 1.82613i
\(206\) −2.03155e10 − 5.60671e9i −0.786003 − 0.216923i
\(207\) 3.68895e10 − 3.85834e10i 1.39648 − 1.46061i
\(208\) 1.18588e9 + 3.64975e9i 0.0439293 + 0.135201i
\(209\) −3.30311e9 − 2.97286e8i −0.119747 − 0.0107774i
\(210\) −2.36452e10 − 2.06582e10i −0.838989 − 0.733003i
\(211\) −1.71261e9 + 3.81343e10i −0.0594824 + 1.32448i 0.718207 + 0.695829i \(0.244963\pi\)
−0.777690 + 0.628649i \(0.783608\pi\)
\(212\) 3.03223e9 0.103098
\(213\) −4.72955e10 − 1.89556e9i −1.57439 − 0.0631001i
\(214\) 9.69444e9 0.315981
\(215\) −1.13577e9 + 2.52898e10i −0.0362507 + 0.807184i
\(216\) −1.88651e10 − 1.64820e10i −0.589683 − 0.515190i
\(217\) 6.07010e10 + 5.46319e9i 1.85835 + 0.167254i
\(218\) 3.79799e9 + 1.16890e10i 0.113894 + 0.350528i
\(219\) 3.07600e10 − 3.21724e10i 0.903623 − 0.945115i
\(220\) −3.36408e9 − 9.28426e8i −0.0968197 − 0.0267206i
\(221\) 8.43838e8 − 6.22946e9i 0.0237954 − 0.175665i
\(222\) 4.47873e9 + 3.30633e10i 0.123756 + 0.913604i
\(223\) −4.03776e10 + 1.11435e10i −1.09337 + 0.301752i −0.765803 − 0.643075i \(-0.777658\pi\)
−0.327570 + 0.944827i \(0.606230\pi\)
\(224\) −1.71180e10 + 3.18106e10i −0.454294 + 0.844219i
\(225\) −6.56252e9 − 6.86386e9i −0.170706 − 0.178545i
\(226\) −1.30125e10 − 2.41813e10i −0.331797 − 0.616583i
\(227\) −3.36947e9 + 1.03702e10i −0.0842257 + 0.259220i −0.984296 − 0.176524i \(-0.943515\pi\)
0.900071 + 0.435744i \(0.143515\pi\)
\(228\) −1.06097e10 + 2.48226e10i −0.260014 + 0.608333i
\(229\) 7.01928e9 + 1.27381e9i 0.168668 + 0.0306088i 0.262234 − 0.965004i \(-0.415541\pi\)
−0.0935657 + 0.995613i \(0.529827\pi\)
\(230\) 3.31490e10 + 2.40841e10i 0.781078 + 0.567487i
\(231\) −1.10619e10 + 9.95586e8i −0.255608 + 0.0230051i
\(232\) 2.08354e10 + 4.87468e10i 0.472177 + 1.10471i
\(233\) −1.32967e10 − 5.82568e10i −0.295559 − 1.29493i −0.876666 − 0.481100i \(-0.840237\pi\)
0.581107 − 0.813827i \(-0.302620\pi\)
\(234\) 3.31400e10 + 5.02049e10i 0.722572 + 1.09465i
\(235\) −4.18803e10 − 2.50223e10i −0.895787 − 0.535208i
\(236\) −2.40164e10 − 3.01156e10i −0.503969 − 0.631957i
\(237\) 2.55274e10 − 2.23026e10i 0.525580 − 0.459186i
\(238\) −3.44529e9 + 2.50315e9i −0.0696031 + 0.0505696i
\(239\) −1.07250e10 + 5.16491e9i −0.212622 + 0.102393i −0.537164 − 0.843478i \(-0.680504\pi\)
0.324542 + 0.945871i \(0.394790\pi\)
\(240\) 5.07872e9 − 7.69393e9i 0.0988107 − 0.149692i
\(241\) 6.49362e10 + 2.43709e10i 1.23997 + 0.465367i 0.883275 − 0.468855i \(-0.155333\pi\)
0.356691 + 0.934222i \(0.383905\pi\)
\(242\) −2.92392e10 + 1.74696e10i −0.548020 + 0.327427i
\(243\) 5.91843e10 + 2.85016e10i 1.08888 + 0.524375i
\(244\) −2.78864e10 + 5.06064e9i −0.503661 + 0.0914010i
\(245\) 5.01563e7 − 2.19749e8i 0.000889361 − 0.00389655i
\(246\) 9.48143e10 − 3.55844e10i 1.65069 − 0.619515i
\(247\) 3.62470e10 − 4.54523e10i 0.619635 − 0.776997i
\(248\) 5.14384e9 + 1.14536e11i 0.0863485 + 1.92270i
\(249\) 1.46054e9 + 3.25215e10i 0.0240778 + 0.536135i
\(250\) −2.27340e10 + 2.85075e10i −0.368083 + 0.461562i
\(251\) 4.45788e10 − 1.67307e10i 0.708919 − 0.266062i 0.0292410 − 0.999572i \(-0.490691\pi\)
0.679678 + 0.733511i \(0.262120\pi\)
\(252\) −1.20139e10 + 5.26365e10i −0.187665 + 0.822214i
\(253\) 1.42610e10 − 2.58799e9i 0.218830 − 0.0397118i
\(254\) 2.63996e10 + 1.27134e10i 0.397966 + 0.191650i
\(255\) −1.29640e10 + 7.74565e9i −0.192004 + 0.114717i
\(256\) −6.74870e10 − 2.53283e10i −0.982065 − 0.368575i
\(257\) 3.49561e10 − 5.29562e10i 0.499832 − 0.757213i −0.493838 − 0.869554i \(-0.664406\pi\)
0.993670 + 0.112341i \(0.0358349\pi\)
\(258\) −4.95690e10 + 2.38712e10i −0.696500 + 0.335417i
\(259\) 5.21728e10 − 3.79058e10i 0.720436 − 0.523427i
\(260\) 4.60690e10 − 4.02493e10i 0.625215 − 0.546234i
\(261\) 8.08683e10 + 1.01406e11i 1.07869 + 1.35263i
\(262\) −1.45620e10 − 8.70038e9i −0.190926 − 0.114073i
\(263\) −6.70832e10 − 1.01627e11i −0.864595 − 1.30981i −0.949613 − 0.313426i \(-0.898523\pi\)
0.0850179 − 0.996379i \(-0.472905\pi\)
\(264\) −4.64927e9 − 2.03698e10i −0.0589071 − 0.258089i
\(265\) 6.16551e9 + 1.44249e10i 0.0768002 + 0.179683i
\(266\) −3.92247e10 + 3.53029e9i −0.480388 + 0.0432357i
\(267\) −7.53482e10 − 5.47437e10i −0.907345 − 0.659225i
\(268\) 7.27531e9 + 1.32027e9i 0.0861479 + 0.0156335i
\(269\) 1.03270e10 − 2.41611e10i 0.120251 − 0.281340i −0.848579 − 0.529069i \(-0.822541\pi\)
0.968829 + 0.247729i \(0.0796842\pi\)
\(270\) 1.45379e10 − 4.47430e10i 0.166481 − 0.512376i
\(271\) −5.25115e9 − 9.75827e9i −0.0591415 − 0.109903i 0.849309 − 0.527897i \(-0.177019\pi\)
−0.908450 + 0.417993i \(0.862734\pi\)
\(272\) −8.64096e8 − 9.03774e8i −0.00957198 − 0.0100115i
\(273\) 9.22584e10 − 1.71445e11i 1.00525 − 1.86807i
\(274\) 6.10118e10 − 1.68382e10i 0.653938 − 0.180475i
\(275\) −3.46110e8 − 2.55509e9i −0.00364936 − 0.0269407i
\(276\) 1.58363e10 − 1.16908e11i 0.164272 − 1.21270i
\(277\) 3.67510e10 + 1.01426e10i 0.375068 + 0.103512i 0.448488 − 0.893789i \(-0.351963\pi\)
−0.0734198 + 0.997301i \(0.523391\pi\)
\(278\) 8.46525e10 − 8.85395e10i 0.850037 − 0.889069i
\(279\) 8.66825e10 + 2.66781e11i 0.856471 + 2.63595i
\(280\) −1.13705e11 − 1.02337e10i −1.10553 − 0.0994994i
\(281\) −2.34746e10 − 2.05091e10i −0.224605 − 0.196232i 0.538279 − 0.842767i \(-0.319075\pi\)
−0.762884 + 0.646535i \(0.776217\pi\)
\(282\) 4.75685e9 − 1.05919e11i 0.0447918 − 0.997366i
\(283\) −1.19581e11 −1.10822 −0.554108 − 0.832445i \(-0.686940\pi\)
−0.554108 + 0.832445i \(0.686940\pi\)
\(284\) −5.19730e10 + 3.46681e10i −0.474073 + 0.316226i
\(285\) −1.39659e11 −1.25391
\(286\) −7.32805e8 + 1.63172e10i −0.00647652 + 0.144211i
\(287\) −1.47407e11 − 1.28785e11i −1.28247 − 1.12046i
\(288\) −1.65594e11 − 1.49037e10i −1.41833 − 0.127652i
\(289\) −3.60127e10 − 1.10836e11i −0.303680 − 0.934630i
\(290\) −6.88008e10 + 7.19600e10i −0.571219 + 0.597448i
\(291\) 1.68048e11 + 4.63783e10i 1.37377 + 0.379138i
\(292\) 7.88612e9 − 5.82177e10i 0.0634805 − 0.468632i
\(293\) 1.21087e10 + 8.93899e10i 0.0959827 + 0.708572i 0.973444 + 0.228925i \(0.0735211\pi\)
−0.877461 + 0.479647i \(0.840765\pi\)
\(294\) 4.72207e8 − 1.30321e8i 0.00368612 − 0.00101730i
\(295\) 9.44328e10 − 1.75486e11i 0.725978 − 1.34909i
\(296\) 8.38374e10 + 8.76871e10i 0.634783 + 0.663931i
\(297\) −7.88588e9 − 1.46544e10i −0.0588094 − 0.109286i
\(298\) −2.38362e10 + 7.33602e10i −0.175091 + 0.538874i
\(299\) −9.98558e10 + 2.33624e11i −0.722525 + 1.69043i
\(300\) −2.06503e10 − 3.74747e9i −0.147191 − 0.0267112i
\(301\) 8.60300e10 + 6.25045e10i 0.604089 + 0.438896i
\(302\) −1.19692e11 + 1.07725e10i −0.828005 + 0.0745218i
\(303\) 5.15470e10 + 1.20600e11i 0.351327 + 0.821971i
\(304\) −2.57312e9 − 1.12736e10i −0.0172794 − 0.0757059i
\(305\) −8.07765e10 − 1.22371e11i −0.534485 − 0.809711i
\(306\) −1.68261e10 − 1.00531e10i −0.109708 − 0.0655473i
\(307\) 1.55349e11 + 1.94801e11i 0.998125 + 1.25161i 0.967708 + 0.252072i \(0.0811121\pi\)
0.0304170 + 0.999537i \(0.490316\pi\)
\(308\) −1.10395e10 + 9.64496e9i −0.0698993 + 0.0610692i
\(309\) −2.53975e11 + 1.84524e11i −1.58481 + 1.15143i
\(310\) −1.93993e11 + 9.34221e10i −1.19305 + 0.574542i
\(311\) −9.59202e10 + 1.45313e11i −0.581418 + 0.880810i −0.999621 − 0.0275433i \(-0.991232\pi\)
0.418203 + 0.908354i \(0.362660\pi\)
\(312\) 3.42899e11 + 1.28692e11i 2.04866 + 0.768877i
\(313\) −1.11380e11 + 6.65462e10i −0.655928 + 0.391899i −0.801957 − 0.597381i \(-0.796208\pi\)
0.146029 + 0.989280i \(0.453351\pi\)
\(314\) −1.51492e11 − 7.29546e10i −0.879439 − 0.423516i
\(315\) −2.74830e11 + 4.98744e10i −1.57278 + 0.285417i
\(316\) 9.95580e9 − 4.36192e10i 0.0561674 − 0.246085i
\(317\) −1.19791e11 + 4.49584e10i −0.666283 + 0.250060i −0.661519 − 0.749928i \(-0.730088\pi\)
−0.00476402 + 0.999989i \(0.501516\pi\)
\(318\) −2.12567e10 + 2.66550e10i −0.116566 + 0.146170i
\(319\) 1.57999e9 + 3.51813e10i 0.00854274 + 0.190219i
\(320\) −6.68369e9 − 1.48824e11i −0.0356321 − 0.793411i
\(321\) 9.00367e10 − 1.12902e11i 0.473311 − 0.593514i
\(322\) 1.61141e11 − 6.04773e10i 0.835324 − 0.313502i
\(323\) −4.21503e9 + 1.84673e10i −0.0215471 + 0.0944041i
\(324\) 3.16252e10 − 5.73913e9i 0.159434 − 0.0289330i
\(325\) 4.07222e10 + 1.96108e10i 0.202468 + 0.0975033i
\(326\) −1.27300e11 + 7.60581e10i −0.624235 + 0.372963i
\(327\) 1.71405e11 + 6.43294e10i 0.829008 + 0.311132i
\(328\) 2.02855e11 − 3.07312e11i 0.967728 − 1.46604i
\(329\) −1.84635e11 + 8.89157e10i −0.868827 + 0.418405i
\(330\) 3.17444e10 − 2.30636e10i 0.147351 − 0.107057i
\(331\) −1.69411e11 + 1.48010e11i −0.775738 + 0.677742i −0.951828 − 0.306632i \(-0.900798\pi\)
0.176090 + 0.984374i \(0.443655\pi\)
\(332\) 2.67900e10 + 3.35936e10i 0.121018 + 0.151752i
\(333\) 2.54802e11 + 1.52237e11i 1.13554 + 0.678456i
\(334\) −9.46588e10 − 1.43402e11i −0.416200 − 0.630516i
\(335\) 8.51225e9 + 3.72946e10i 0.0369269 + 0.161787i
\(336\) −1.52200e10 − 3.56089e10i −0.0651459 − 0.152416i
\(337\) −5.26804e10 + 4.74133e9i −0.222492 + 0.0200247i −0.200325 − 0.979730i \(-0.564200\pi\)
−0.0221677 + 0.999754i \(0.507057\pi\)
\(338\) −1.04320e11 − 7.57928e10i −0.434752 − 0.315866i
\(339\) −4.02471e11 − 7.30377e10i −1.65514 − 0.300364i
\(340\) −7.83394e9 + 1.83284e10i −0.0317925 + 0.0743824i
\(341\) −2.35360e10 + 7.24363e10i −0.0942622 + 0.290109i
\(342\) −8.58956e10 − 1.59621e11i −0.339511 − 0.630917i
\(343\) −1.77476e11 − 1.85626e11i −0.692335 − 0.724126i
\(344\) −9.47947e10 + 1.76158e11i −0.364982 + 0.678250i
\(345\) 5.88356e11 − 1.62376e11i 2.23591 − 0.617072i
\(346\) 1.61879e10 + 1.19504e11i 0.0607222 + 0.448269i
\(347\) −6.51347e10 + 4.80844e11i −0.241174 + 1.78042i 0.314742 + 0.949177i \(0.398082\pi\)
−0.555916 + 0.831238i \(0.687632\pi\)
\(348\) 2.76323e11 + 7.62604e10i 1.00998 + 0.278736i
\(349\) 4.38073e10 − 4.58189e10i 0.158064 − 0.165322i −0.639021 − 0.769190i \(-0.720660\pi\)
0.797085 + 0.603868i \(0.206374\pi\)
\(350\) −9.46177e9 − 2.91203e10i −0.0337028 − 0.103727i
\(351\) 2.90541e11 + 2.61492e10i 1.02171 + 0.0919552i
\(352\) −3.39964e10 − 2.97018e10i −0.118030 − 0.103119i
\(353\) 4.63536e9 − 1.03214e11i 0.0158890 − 0.353796i −0.975262 − 0.221054i \(-0.929050\pi\)
0.991151 − 0.132742i \(-0.0423783\pi\)
\(354\) 4.33094e11 1.46578
\(355\) −2.70601e11 − 1.76754e11i −0.904277 − 0.590667i
\(356\) −1.22928e11 −0.405625
\(357\) −2.84604e9 + 6.33720e10i −0.00927329 + 0.206486i
\(358\) −1.79324e11 − 1.56671e11i −0.576985 − 0.504097i
\(359\) 4.97898e11 + 4.48116e10i 1.58203 + 0.142385i 0.845484 − 0.534001i \(-0.179312\pi\)
0.736547 + 0.676386i \(0.236455\pi\)
\(360\) −1.62374e11 − 4.99737e11i −0.509514 − 1.56812i
\(361\) 1.01940e11 − 1.06621e11i 0.315909 − 0.330415i
\(362\) 2.17597e11 + 6.00529e10i 0.665985 + 0.183800i
\(363\) −6.81050e10 + 5.02771e11i −0.205873 + 1.51981i
\(364\) −3.44939e10 − 2.54644e11i −0.102988 − 0.760287i
\(365\) 2.92988e11 − 8.08595e10i 0.864036 − 0.238459i
\(366\) 1.51005e11 − 2.80614e11i 0.439871 − 0.817417i
\(367\) −3.99324e11 − 4.17660e11i −1.14902 − 1.20178i −0.976210 − 0.216826i \(-0.930430\pi\)
−0.172810 − 0.984955i \(-0.555285\pi\)
\(368\) 2.39473e10 + 4.45016e10i 0.0680678 + 0.126491i
\(369\) 2.78397e11 − 8.56819e11i 0.781712 − 2.40586i
\(370\) −8.95439e10 + 2.09498e11i −0.248387 + 0.581129i
\(371\) 6.48369e10 + 1.17662e10i 0.177680 + 0.0322442i
\(372\) 5.01551e11 + 3.64398e11i 1.35791 + 0.986582i
\(373\) 2.72687e11 − 2.45423e10i 0.729416 − 0.0656486i 0.281295 − 0.959621i \(-0.409236\pi\)
0.448121 + 0.893973i \(0.352093\pi\)
\(374\) −2.09166e9 − 4.89367e9i −0.00552800 − 0.0129334i
\(375\) 1.20861e11 + 5.29525e11i 0.315605 + 1.38276i
\(376\) −2.12378e11 − 3.21739e11i −0.547979 − 0.830153i
\(377\) −5.29945e11 − 3.16628e11i −1.35112 − 0.807259i
\(378\) −1.23213e11 − 1.54505e11i −0.310416 − 0.389250i
\(379\) −4.74255e10 + 4.14344e10i −0.118069 + 0.103154i −0.714949 − 0.699177i \(-0.753550\pi\)
0.596880 + 0.802331i \(0.296407\pi\)
\(380\) −1.49129e11 + 1.08348e11i −0.366890 + 0.266561i
\(381\) 3.93246e11 − 1.89377e11i 0.956098 − 0.460432i
\(382\) 6.89746e10 − 1.04492e11i 0.165731 − 0.251072i
\(383\) 5.31993e11 + 1.99660e11i 1.26332 + 0.474130i 0.891011 − 0.453981i \(-0.149997\pi\)
0.372304 + 0.928111i \(0.378568\pi\)
\(384\) −2.75606e11 + 1.64667e11i −0.646841 + 0.386469i
\(385\) −6.83300e10 − 3.29060e10i −0.158503 − 0.0763311i
\(386\) 1.54771e11 − 2.80868e10i 0.354852 − 0.0643962i
\(387\) −1.08909e11 + 4.77163e11i −0.246812 + 1.08135i
\(388\) 2.15423e11 − 8.08498e10i 0.482559 − 0.181107i
\(389\) −2.94355e11 + 3.69110e11i −0.651777 + 0.817302i −0.992420 − 0.122890i \(-0.960784\pi\)
0.340644 + 0.940192i \(0.389355\pi\)
\(390\) 3.08591e10 + 6.87130e11i 0.0675448 + 1.50400i
\(391\) −3.71404e9 − 8.26995e10i −0.00803620 − 0.178940i
\(392\) 1.11052e9 − 1.39255e9i 0.00237542 − 0.00297868i
\(393\) −2.36569e11 + 8.87860e10i −0.500256 + 0.187749i
\(394\) −9.12340e10 + 3.99722e11i −0.190732 + 0.835652i
\(395\) 2.27748e11 − 4.13303e10i 0.470726 − 0.0854242i
\(396\) −6.07892e10 − 2.92746e10i −0.124222 − 0.0598221i
\(397\) −2.15385e11 + 1.28687e11i −0.435169 + 0.260002i −0.713735 − 0.700416i \(-0.752998\pi\)
0.278566 + 0.960417i \(0.410141\pi\)
\(398\) 3.41328e11 + 1.28103e11i 0.681865 + 0.255908i
\(399\) −3.23183e11 + 4.89602e11i −0.638368 + 0.967086i
\(400\) 8.09984e9 − 3.90068e9i 0.0158200 − 0.00761851i
\(401\) 4.12527e11 − 2.99718e11i 0.796714 − 0.578847i −0.113234 − 0.993568i \(-0.536121\pi\)
0.909948 + 0.414722i \(0.136121\pi\)
\(402\) −6.26076e10 + 5.46986e10i −0.119567 + 0.104462i
\(403\) −8.32427e11 − 1.04383e12i −1.57208 − 1.97132i
\(404\) 1.48605e11 + 8.87871e10i 0.277534 + 0.165819i
\(405\) 9.16064e10 + 1.38778e11i 0.169191 + 0.256314i
\(406\) 9.30585e10 + 4.07716e11i 0.169977 + 0.744716i
\(407\) 3.16745e10 + 7.41061e10i 0.0572182 + 0.133869i
\(408\) −1.18855e11 + 1.06971e10i −0.212347 + 0.0191116i
\(409\) 8.67235e10 + 6.30083e10i 0.153243 + 0.111338i 0.661765 − 0.749712i \(-0.269808\pi\)
−0.508521 + 0.861049i \(0.669808\pi\)
\(410\) 6.80415e11 + 1.23477e11i 1.18918 + 0.215804i
\(411\) 3.70545e11 − 8.66934e11i 0.640550 − 1.49864i
\(412\) −1.28042e11 + 3.94071e11i −0.218934 + 0.673810i
\(413\) −3.96673e11 − 7.37141e11i −0.670899 − 1.24674i
\(414\) 5.47445e11 + 5.72583e11i 0.915882 + 0.957937i
\(415\) −1.05339e11 + 1.95752e11i −0.174330 + 0.323959i
\(416\) 7.62825e11 − 2.10526e11i 1.24883 − 0.344656i
\(417\) −2.44934e11 − 1.80818e12i −0.396677 − 2.92839i
\(418\) 6.60654e9 − 4.87714e10i 0.0105847 − 0.0781397i
\(419\) 7.92665e11 + 2.18762e11i 1.25640 + 0.346743i 0.829985 − 0.557786i \(-0.188349\pi\)
0.426411 + 0.904530i \(0.359778\pi\)
\(420\) −4.26606e11 + 4.46195e11i −0.668967 + 0.699685i
\(421\) −3.29521e11 − 1.01416e12i −0.511227 − 1.57339i −0.790044 − 0.613050i \(-0.789942\pi\)
0.278817 − 0.960344i \(-0.410058\pi\)
\(422\) −5.64209e11 − 5.07797e10i −0.866032 − 0.0779442i
\(423\) −7.10302e11 − 6.20572e11i −1.07873 − 0.942456i
\(424\) −5.56158e9 + 1.23838e11i −0.00835702 + 0.186084i
\(425\) −1.47268e10 −0.0218957
\(426\) 5.95915e10 − 6.99904e11i 0.0876680 − 1.02966i
\(427\) −6.15920e11 −0.896600
\(428\) 8.55128e9 − 1.90409e11i 0.0123178 − 0.274278i
\(429\) 1.83226e11 + 1.60079e11i 0.261173 + 0.228180i
\(430\) −3.74170e11 − 3.36759e10i −0.527790 − 0.0475020i
\(431\) 2.39975e10 + 7.38567e10i 0.0334980 + 0.103096i 0.966407 − 0.257015i \(-0.0827389\pi\)
−0.932910 + 0.360111i \(0.882739\pi\)
\(432\) 4.00980e10 − 4.19392e10i 0.0553919 − 0.0579354i
\(433\) 6.63830e10 + 1.83205e10i 0.0907530 + 0.0250462i 0.311118 − 0.950371i \(-0.399296\pi\)
−0.220365 + 0.975417i \(0.570725\pi\)
\(434\) −1.21408e11 + 8.96267e11i −0.164264 + 1.21264i
\(435\) 1.99069e11 + 1.46959e12i 0.266564 + 1.96786i
\(436\) 2.32934e11 − 6.42858e10i 0.308706 − 0.0851973i
\(437\) 3.62779e11 − 6.74156e11i 0.475856 − 0.884289i
\(438\) 4.56482e11 + 4.77443e11i 0.592639 + 0.619852i
\(439\) −1.75394e11 − 3.25937e11i −0.225385 − 0.418835i 0.742640 − 0.669691i \(-0.233574\pi\)
−0.968024 + 0.250856i \(0.919288\pi\)
\(440\) 4.40877e10 − 1.35688e11i 0.0560765 − 0.172586i
\(441\) 1.71272e9 − 4.00710e9i 0.00215632 − 0.00504495i
\(442\) 9.17912e10 + 1.66577e10i 0.114393 + 0.0207593i
\(443\) 1.01329e10 + 7.36198e9i 0.0125002 + 0.00908193i 0.594018 − 0.804452i \(-0.297541\pi\)
−0.581518 + 0.813534i \(0.697541\pi\)
\(444\) 6.53348e11 − 5.88024e10i 0.797850 − 0.0718078i
\(445\) −2.49952e11 − 5.84792e11i −0.302160 − 0.706938i
\(446\) −1.38321e11 − 6.06025e11i −0.165532 − 0.725243i
\(447\) 6.32983e11 + 9.58928e11i 0.749908 + 1.13606i
\(448\) −5.37198e11 − 3.20961e11i −0.630062 − 0.376444i
\(449\) 9.08166e11 + 1.13880e12i 1.05452 + 1.32233i 0.944539 + 0.328399i \(0.106509\pi\)
0.109985 + 0.993933i \(0.464920\pi\)
\(450\) 1.06127e11 − 9.27208e10i 0.122003 − 0.106591i
\(451\) 1.97898e11 − 1.43781e11i 0.225241 − 0.163647i
\(452\) −4.86424e11 + 2.34249e11i −0.548141 + 0.263971i
\(453\) −9.86175e11 + 1.49399e12i −1.10030 + 1.66689i
\(454\) −1.51496e11 − 5.68575e10i −0.167360 − 0.0628111i
\(455\) 1.14126e12 − 6.81869e11i 1.24834 − 0.745847i
\(456\) −9.94312e11 − 4.78835e11i −1.07691 − 0.518614i
\(457\) 1.13346e11 − 2.05693e10i 0.121558 − 0.0220595i −0.117437 − 0.993080i \(-0.537468\pi\)
0.238995 + 0.971021i \(0.423182\pi\)
\(458\) −2.35580e10 + 1.03214e11i −0.0250175 + 0.109609i
\(459\) −8.89881e10 + 3.33978e10i −0.0935782 + 0.0351205i
\(460\) 5.02278e11 − 6.29836e11i 0.523038 − 0.655869i
\(461\) −1.02092e10 − 2.27326e11i −0.0105278 − 0.234420i −0.997357 − 0.0726551i \(-0.976853\pi\)
0.986829 − 0.161765i \(-0.0517187\pi\)
\(462\) −7.39477e9 − 1.64657e11i −0.00755155 − 0.168148i
\(463\) −8.01235e11 + 1.00472e12i −0.810300 + 1.01608i 0.189118 + 0.981954i \(0.439437\pi\)
−0.999417 + 0.0341291i \(0.989134\pi\)
\(464\) −1.14960e11 + 4.31453e10i −0.115137 + 0.0432118i
\(465\) −7.13698e11 + 3.12692e12i −0.707907 + 3.10154i
\(466\) 8.72523e11 − 1.58340e11i 0.857117 − 0.155544i
\(467\) −9.09914e11 − 4.38191e11i −0.885267 − 0.426322i −0.0647215 − 0.997903i \(-0.520616\pi\)
−0.820545 + 0.571581i \(0.806330\pi\)
\(468\) 1.01531e12 − 6.06619e11i 0.978346 − 0.584534i
\(469\) 1.50442e11 + 5.64617e10i 0.143579 + 0.0538860i
\(470\) 3.98845e11 − 6.04225e11i 0.377020 − 0.571161i
\(471\) −2.25661e12 + 1.08673e12i −2.11282 + 1.01748i
\(472\) 1.27399e12 − 9.25607e11i 1.18148 − 0.858396i
\(473\) −1.00076e11 + 8.74340e10i −0.0919297 + 0.0803165i
\(474\) 3.13645e11 + 3.93298e11i 0.285388 + 0.357865i
\(475\) −1.16914e11 − 6.98529e10i −0.105377 − 0.0629598i
\(476\) 4.61254e10 + 6.98770e10i 0.0411821 + 0.0623883i
\(477\) 6.74886e10 + 2.95687e11i 0.0596895 + 0.261517i
\(478\) −6.94301e10 − 1.62440e11i −0.0608306 − 0.142320i
\(479\) 1.63523e12 − 1.47174e11i 1.41928 − 0.127738i 0.646746 − 0.762705i \(-0.276129\pi\)
0.772539 + 0.634967i \(0.218987\pi\)
\(480\) −1.53797e12 − 1.11740e12i −1.32240 − 0.960781i
\(481\) −1.39002e12 − 2.52251e11i −1.18404 − 0.214872i
\(482\) −4.04539e11 + 9.46466e11i −0.341388 + 0.798718i
\(483\) 7.92267e11 − 2.43835e12i 0.662383 − 2.03861i
\(484\) 3.17330e11 + 5.89698e11i 0.262850 + 0.488456i
\(485\) 8.22644e11 + 8.60418e11i 0.675109 + 0.706109i
\(486\) −4.61948e11 + 8.58443e11i −0.375604 + 0.697988i
\(487\) −1.98282e12 + 5.47222e11i −1.59736 + 0.440843i −0.947642 − 0.319335i \(-0.896541\pi\)
−0.649715 + 0.760177i \(0.725112\pi\)
\(488\) −1.55531e11 − 1.14818e12i −0.124145 − 0.916475i
\(489\) −2.96511e11 + 2.18893e12i −0.234504 + 1.73118i
\(490\) 3.22443e9 + 8.89887e8i 0.00252680 + 0.000697352i
\(491\) 8.35071e11 − 8.73416e11i 0.648421 − 0.678195i −0.314104 − 0.949389i \(-0.601704\pi\)
0.962525 + 0.271194i \(0.0874184\pi\)
\(492\) −6.15281e11 − 1.89364e12i −0.473403 − 1.45698i
\(493\) 2.00333e11 + 1.80303e10i 0.152736 + 0.0137465i
\(494\) 6.49706e11 + 5.67631e11i 0.490847 + 0.428840i
\(495\) 1.56606e10 − 3.48711e11i 0.0117243 − 0.261061i
\(496\) −2.65560e11 −0.197013
\(497\) −1.24584e12 + 5.39618e11i −0.915922 + 0.396719i
\(498\) −4.83111e11 −0.351978
\(499\) −1.39182e10 + 3.09914e11i −0.0100492 + 0.223763i 0.987684 + 0.156464i \(0.0500095\pi\)
−0.997733 + 0.0672989i \(0.978562\pi\)
\(500\) 5.39865e11 + 4.71666e11i 0.386296 + 0.337496i
\(501\) −2.54921e12 − 2.29433e11i −1.80774 − 0.162700i
\(502\) 2.18356e11 + 6.72029e11i 0.153461 + 0.472304i
\(503\) 1.58074e12 − 1.65333e12i 1.10105 − 1.15160i 0.113620 − 0.993524i \(-0.463755\pi\)
0.987426 − 0.158080i \(-0.0505305\pi\)
\(504\) −2.12767e12 − 5.87200e11i −1.46881 − 0.405367i
\(505\) −1.20217e11 + 8.87474e11i −0.0822533 + 0.607218i
\(506\) 2.88725e10 + 2.13145e11i 0.0195797 + 0.144543i
\(507\) −1.85156e12 + 5.10997e11i −1.24452 + 0.343465i
\(508\) 2.72991e11 − 5.07301e11i 0.181870 − 0.337971i
\(509\) −2.38876e11 − 2.49845e11i −0.157741 − 0.164984i 0.639202 − 0.769039i \(-0.279265\pi\)
−0.796942 + 0.604055i \(0.793551\pi\)
\(510\) −1.06199e11 − 1.97351e11i −0.0695114 − 0.129174i
\(511\) 3.94531e11 − 1.21424e12i 0.255969 − 0.787791i
\(512\) 1.28178e11 − 2.99887e11i 0.0824325 − 0.192860i
\(513\) −8.64878e11 − 1.56952e11i −0.551349 − 0.100055i
\(514\) 7.61813e11 + 5.53490e11i 0.481409 + 0.349764i
\(515\) −2.13502e12 + 1.92156e11i −1.33743 + 0.120371i
\(516\) 4.25131e11 + 9.94643e11i 0.263997 + 0.617652i
\(517\) −5.69874e10 − 2.49678e11i −0.0350809 − 0.153700i
\(518\) 5.27224e11 + 7.98711e11i 0.321745 + 0.487422i
\(519\) 1.54210e12 + 9.21359e11i 0.932950 + 0.557411i
\(520\) 1.55931e12 + 1.95531e12i 0.935227 + 1.17274i
\(521\) −2.21762e12 + 1.93748e12i −1.31861 + 1.15204i −0.341366 + 0.939930i \(0.610890\pi\)
−0.977247 + 0.212107i \(0.931968\pi\)
\(522\) −1.55720e12 + 1.13137e12i −0.917968 + 0.666943i
\(523\) 2.36882e12 − 1.14076e12i 1.38444 − 0.666711i 0.414498 − 0.910050i \(-0.363957\pi\)
0.969941 + 0.243340i \(0.0782430\pi\)
\(524\) −1.83729e11 + 2.78338e11i −0.106460 + 0.161281i
\(525\) −4.27014e11 − 1.60261e11i −0.245316 − 0.0920685i
\(526\) 1.55130e12 − 9.26859e11i 0.883609 − 0.527932i
\(527\) 3.91935e11 + 1.88746e11i 0.221343 + 0.106593i
\(528\) 4.76168e10 − 8.64117e9i 0.0266629 − 0.00483860i
\(529\) −3.43707e11 + 1.50588e12i −0.190826 + 0.836063i
\(530\) −2.17957e11 + 8.18008e10i −0.119986 + 0.0450315i
\(531\) 2.40218e12 − 3.01224e12i 1.31123 − 1.64423i
\(532\) 3.47392e10 + 7.73528e11i 0.0188026 + 0.418672i
\(533\) 1.92379e11 + 4.28364e12i 0.103249 + 2.29901i
\(534\) 8.61754e11 − 1.08060e12i 0.458614 − 0.575084i
\(535\) 9.23201e11 − 3.46483e11i 0.487196 − 0.182848i
\(536\) −6.72648e10 + 2.94706e11i −0.0352003 + 0.154223i
\(537\) −3.49007e12 + 6.33354e11i −1.81113 + 0.328671i
\(538\) 3.51318e11 + 1.69186e11i 0.180792 + 0.0870650i
\(539\) 1.01574e9 − 6.06874e8i 0.000518360 − 0.000309706i
\(540\) −8.65976e11 − 3.25006e11i −0.438262 − 0.164483i
\(541\) −7.79778e11 + 1.18131e12i −0.391366 + 0.592895i −0.975832 − 0.218524i \(-0.929876\pi\)
0.584465 + 0.811419i \(0.301304\pi\)
\(542\) 1.48165e11 − 7.13523e10i 0.0737476 − 0.0355150i
\(543\) 2.72031e12 − 1.97642e12i 1.34282 − 0.975617i
\(544\) −1.94173e11 + 1.69644e11i −0.0950589 + 0.0830505i
\(545\) 7.79451e11 + 9.77401e11i 0.378447 + 0.474557i
\(546\) 2.48028e12 + 1.48190e12i 1.19436 + 0.713594i
\(547\) −1.75231e12 − 2.65464e12i −0.836890 − 1.26783i −0.961273 − 0.275599i \(-0.911124\pi\)
0.124383 − 0.992234i \(-0.460305\pi\)
\(548\) −2.76902e11 − 1.21319e12i −0.131164 − 0.574666i
\(549\) −1.11416e12 − 2.60670e12i −0.523445 − 1.22466i
\(550\) 3.81101e10 − 3.42997e9i 0.0177586 − 0.00159830i
\(551\) 1.50489e12 + 1.09337e12i 0.695542 + 0.505341i
\(552\) 4.74556e12 + 8.61191e11i 2.17551 + 0.394797i
\(553\) 3.82139e11 − 8.94058e11i 0.173763 − 0.406539i
\(554\) −1.74835e11 + 5.38088e11i −0.0788562 + 0.242694i
\(555\) 1.60820e12 + 2.98854e12i 0.719486 + 1.33703i
\(556\) −1.66434e12 − 1.74076e12i −0.738593 − 0.772508i
\(557\) 1.04483e12 − 1.94161e12i 0.459935 − 0.854702i −0.539981 − 0.841677i \(-0.681568\pi\)
0.999915 − 0.0130241i \(-0.00414583\pi\)
\(558\) −4.01280e12 + 1.10746e12i −1.75224 + 0.483588i
\(559\) −3.12696e11 − 2.30841e12i −0.135447 − 0.999909i
\(560\) 3.54956e10 − 2.62039e11i 0.0152521 − 0.112595i
\(561\) −7.64183e10 − 2.10901e10i −0.0325735 − 0.00898972i
\(562\) 3.19682e11 − 3.34361e11i 0.135177 − 0.141385i
\(563\) −1.29004e12 − 3.97032e12i −0.541145 − 1.66547i −0.729983 − 0.683465i \(-0.760472\pi\)
0.188838 − 0.982008i \(-0.439528\pi\)
\(564\) −2.07617e12 − 1.86859e11i −0.863988 − 0.0777603i
\(565\) −2.10343e12 − 1.83771e12i −0.868380 − 0.758680i
\(566\) 7.96173e10 − 1.77282e12i 0.0326087 − 0.726089i
\(567\) 6.98497e11 0.283819
\(568\) −1.32054e12 − 2.18620e12i −0.532333 − 0.881295i
\(569\) −2.32304e12 −0.929077 −0.464539 − 0.885553i \(-0.653780\pi\)
−0.464539 + 0.885553i \(0.653780\pi\)
\(570\) 9.29852e10 − 2.07048e12i 0.0368958 − 0.821549i
\(571\) −3.34977e10 − 2.92660e10i −0.0131872 − 0.0115213i 0.651320 − 0.758803i \(-0.274216\pi\)
−0.664507 + 0.747282i \(0.731358\pi\)
\(572\) 3.19840e11 + 2.87861e10i 0.124925 + 0.0112435i
\(573\) −5.76327e11 − 1.77375e12i −0.223343 − 0.687380i
\(574\) 2.00741e12 − 2.09959e12i 0.771851 − 0.807293i
\(575\) 5.73750e11 + 1.58345e11i 0.218886 + 0.0604086i
\(576\) 3.86618e11 − 2.85413e12i 0.146346 − 1.08037i
\(577\) −5.48397e11 − 4.04843e12i −0.205970 − 1.52053i −0.738577 − 0.674170i \(-0.764502\pi\)
0.532606 − 0.846363i \(-0.321213\pi\)
\(578\) 1.66714e12 − 4.60102e11i 0.621294 − 0.171466i
\(579\) 1.11033e12 − 2.06334e12i 0.410580 − 0.762986i
\(580\) 1.35268e12 + 1.41479e12i 0.496329 + 0.519119i
\(581\) 4.42483e11 + 8.22272e11i 0.161103 + 0.299380i
\(582\) −7.99455e11 + 2.46047e12i −0.288829 + 0.888924i
\(583\) −3.23654e10 + 7.57225e10i −0.0116030 + 0.0271467i
\(584\) 2.36318e12 + 4.28854e11i 0.840696 + 0.152564i
\(585\) 4.95026e12 + 3.59658e12i 1.74754 + 1.26966i
\(586\) −1.33329e12 + 1.19998e11i −0.467072 + 0.0420373i
\(587\) −4.51604e11 − 1.05658e12i −0.156995 − 0.367308i 0.822503 − 0.568760i \(-0.192577\pi\)
−0.979498 + 0.201452i \(0.935434\pi\)
\(588\) −2.14311e9 − 9.38959e9i −0.000739345 − 0.00323928i
\(589\) 2.21625e12 + 3.35747e12i 0.758752 + 1.14946i
\(590\) 2.53874e12 + 1.51682e12i 0.862548 + 0.515349i
\(591\) 3.80788e12 + 4.77493e12i 1.28392 + 1.60999i
\(592\) −2.11611e11 + 1.84879e11i −0.0708093 + 0.0618643i
\(593\) 1.69838e12 − 1.23395e12i 0.564013 − 0.409780i −0.268912 − 0.963165i \(-0.586664\pi\)
0.832926 + 0.553385i \(0.186664\pi\)
\(594\) 2.22505e11 − 1.07153e11i 0.0733334 − 0.0353155i
\(595\) −2.38631e11 + 3.61510e11i −0.0780549 + 0.118248i
\(596\) 1.41984e12 + 5.32877e11i 0.460928 + 0.172989i
\(597\) 4.66197e12 − 2.78539e12i 1.50205 − 0.897433i
\(598\) −3.39704e12 − 1.63593e12i −1.08629 − 0.523130i
\(599\) −3.18915e12 + 5.78745e11i −1.01217 + 0.183682i −0.659212 − 0.751957i \(-0.729110\pi\)
−0.352959 + 0.935639i \(0.614824\pi\)
\(600\) 1.90925e11 − 8.36496e11i 0.0601425 − 0.263502i
\(601\) −3.34530e12 + 1.25551e12i −1.04592 + 0.392542i −0.814410 − 0.580289i \(-0.802939\pi\)
−0.231514 + 0.972832i \(0.574368\pi\)
\(602\) −9.83921e11 + 1.23380e12i −0.305334 + 0.382877i
\(603\) 3.31811e10 + 7.38835e11i 0.0102203 + 0.227572i
\(604\) 1.06005e11 + 2.36037e12i 0.0324084 + 0.721630i
\(605\) −2.16008e12 + 2.70865e12i −0.655496 + 0.821966i
\(606\) −1.82224e12 + 6.83899e11i −0.548883 + 0.205999i
\(607\) −7.06809e11 + 3.09673e12i −0.211326 + 0.925880i 0.752341 + 0.658774i \(0.228924\pi\)
−0.963667 + 0.267106i \(0.913933\pi\)
\(608\) −2.34617e12 + 4.25767e11i −0.696295 + 0.126359i
\(609\) 5.61258e12 + 2.70288e12i 1.65343 + 0.796248i
\(610\) 1.86796e12 − 1.11605e12i 0.546240 − 0.326363i
\(611\) 4.20300e12 + 1.57741e12i 1.22004 + 0.457889i
\(612\) −2.12296e11 + 3.21615e11i −0.0611731 + 0.0926733i
\(613\) 2.17806e12 − 1.04890e12i 0.623014 − 0.300028i −0.0956180 − 0.995418i \(-0.530483\pi\)
0.718632 + 0.695390i \(0.244768\pi\)
\(614\) −2.99140e12 + 2.17338e12i −0.849409 + 0.617132i
\(615\) 7.75736e12 − 6.77740e12i 2.18663 − 1.91040i
\(616\) −3.73658e11 − 4.68552e11i −0.104559 − 0.131113i
\(617\) 4.23442e11 + 2.52995e11i 0.117628 + 0.0702795i 0.570508 − 0.821292i \(-0.306746\pi\)
−0.452880 + 0.891571i \(0.649603\pi\)
\(618\) −2.56651e12 − 3.88809e12i −0.707774 − 1.07223i
\(619\) −4.57609e11 − 2.00491e12i −0.125281 − 0.548893i −0.998142 − 0.0609244i \(-0.980595\pi\)
0.872861 − 0.487969i \(-0.162262\pi\)
\(620\) 1.66379e12 + 3.89263e12i 0.452206 + 1.05799i
\(621\) 3.82604e12 − 3.44350e11i 1.03237 − 0.0929153i
\(622\) −2.09043e12 − 1.51879e12i −0.559988 − 0.406855i
\(623\) −2.62851e12 − 4.77004e11i −0.699059 − 0.126860i
\(624\) −3.33414e11 + 7.80060e11i −0.0880344 + 0.205967i
\(625\) −1.34248e12 + 4.13173e12i −0.351923 + 1.08311i
\(626\) −9.12405e11 − 1.69553e12i −0.237467 − 0.441288i
\(627\) −5.06639e11 − 5.29903e11i −0.130917 − 0.136928i
\(628\) −1.56653e12 + 2.91111e12i −0.401903 + 0.746861i
\(629\) 4.43715e11 − 1.22457e11i 0.113025 − 0.0311930i
\(630\) −5.56416e11 − 4.10763e12i −0.140724 − 1.03886i
\(631\) 2.60100e11 − 1.92013e12i 0.0653142 − 0.482169i −0.928519 − 0.371285i \(-0.878917\pi\)
0.993833 − 0.110884i \(-0.0353683\pi\)
\(632\) 1.76317e12 + 4.86605e11i 0.439611 + 0.121325i
\(633\) −5.83145e12 + 6.09922e12i −1.44364 + 1.50993i
\(634\) −5.86761e11 − 1.80586e12i −0.144231 − 0.443898i
\(635\) 2.96841e12 + 2.67162e11i 0.724506 + 0.0652068i
\(636\) 5.04782e11 + 4.41015e11i 0.122334 + 0.106880i
\(637\) −9.30550e8 + 2.07203e10i −0.000223930 + 0.00498619i
\(638\) −5.22622e11 −0.124880
\(639\) −4.53741e12 − 4.29652e12i −1.07660 − 1.01944i
\(640\) −2.19227e12 −0.516517
\(641\) −3.09383e11 + 6.88896e12i −0.0723829 + 1.61173i 0.554206 + 0.832380i \(0.313022\pi\)
−0.626589 + 0.779350i \(0.715549\pi\)
\(642\) 1.61386e12 + 1.40998e12i 0.374936 + 0.327572i
\(643\) 1.61092e12 + 1.44986e11i 0.371643 + 0.0334485i 0.273887 − 0.961762i \(-0.411691\pi\)
0.0977561 + 0.995210i \(0.468833\pi\)
\(644\) −1.04570e12 − 3.21833e12i −0.239563 − 0.737299i
\(645\) −3.86728e12 + 4.04486e12i −0.879807 + 0.920206i
\(646\) −2.70975e11 − 7.47842e10i −0.0612184 − 0.0168952i
\(647\) 7.67537e11 − 5.66619e12i 0.172199 − 1.27122i −0.674150 − 0.738594i \(-0.735490\pi\)
0.846349 − 0.532629i \(-0.178796\pi\)
\(648\) 1.76384e11 + 1.30212e12i 0.0392981 + 0.290110i
\(649\) 1.00841e12 − 2.78303e11i 0.223119 − 0.0615768i
\(650\) −3.17847e11 + 5.90658e11i −0.0698405 + 0.129785i
\(651\) 9.31045e12 + 9.73797e12i 2.03168 + 2.12497i
\(652\) 1.38157e12 + 2.56739e12i 0.299405 + 0.556388i
\(653\) 3.47125e11 − 1.06834e12i 0.0747095 − 0.229932i −0.906727 − 0.421717i \(-0.861428\pi\)
0.981437 + 0.191785i \(0.0614276\pi\)
\(654\) −1.06782e12 + 2.49828e12i −0.228243 + 0.534001i
\(655\) −1.69769e12 − 3.08086e11i −0.360390 − 0.0654012i
\(656\) 6.90008e11 + 5.01320e11i 0.145475 + 0.105693i
\(657\) 5.85260e12 − 5.26743e11i 1.22547 − 0.110295i
\(658\) −1.19526e12 − 2.79646e12i −0.248569 − 0.581557i
\(659\) 9.29690e11 + 4.07324e12i 0.192023 + 0.841308i 0.975520 + 0.219912i \(0.0705771\pi\)
−0.783497 + 0.621396i \(0.786566\pi\)
\(660\) −4.24993e11 − 6.43837e11i −0.0871835 − 0.132077i
\(661\) −2.92469e12 − 1.74742e12i −0.595901 − 0.356034i 0.183065 − 0.983101i \(-0.441398\pi\)
−0.778966 + 0.627067i \(0.784255\pi\)
\(662\) −2.08148e12 − 2.61009e12i −0.421222 − 0.528196i
\(663\) 1.04650e12 − 9.14303e11i 0.210344 − 0.183772i
\(664\) −1.42112e12 + 1.03250e12i −0.283710 + 0.206127i
\(665\) −3.60919e12 + 1.73809e12i −0.715669 + 0.344648i
\(666\) −2.42659e12 + 3.67613e12i −0.477929 + 0.724031i
\(667\) −7.61102e12 − 2.85646e12i −1.48894 − 0.558808i
\(668\) −2.90006e12 + 1.73271e12i −0.563525 + 0.336690i
\(669\) −8.34248e12 − 4.01753e12i −1.61019 − 0.775428i
\(670\) −5.58568e11 + 1.01365e11i −0.107088 + 0.0194335i
\(671\) 1.71276e11 − 7.50411e11i 0.0326172 − 0.142905i
\(672\) −7.47628e12 + 2.80589e12i −1.41424 + 0.530774i
\(673\) 6.22640e12 − 7.80766e12i 1.16996 − 1.46708i 0.314457 − 0.949272i \(-0.398178\pi\)
0.855498 − 0.517806i \(-0.173251\pi\)
\(674\) −3.52165e10 − 7.84155e11i −0.00657319 − 0.146363i
\(675\) −3.06602e10 − 6.82703e11i −0.00568471 − 0.126580i
\(676\) −1.58067e12 + 1.98210e12i −0.291126 + 0.365060i
\(677\) −2.25192e11 + 8.45158e10i −0.0412006 + 0.0154628i −0.371890 − 0.928277i \(-0.621290\pi\)
0.330689 + 0.943740i \(0.392719\pi\)
\(678\) 1.35076e12 − 5.91809e12i 0.245497 − 1.07559i
\(679\) 4.92003e12 − 8.92854e11i 0.888288 − 0.161201i
\(680\) −7.34175e11 − 3.53560e11i −0.131677 − 0.0634122i
\(681\) −2.06918e12 + 1.23628e12i −0.368669 + 0.220270i
\(682\) −1.05821e12 − 3.97154e11i −0.187302 − 0.0702957i
\(683\) −3.62017e12 + 5.48433e12i −0.636556 + 0.964341i 0.362915 + 0.931822i \(0.381781\pi\)
−0.999471 + 0.0325186i \(0.989647\pi\)
\(684\) −3.21089e12 + 1.54628e12i −0.560883 + 0.270107i
\(685\) 5.20834e12 − 3.78408e12i 0.903841 − 0.656679i
\(686\) 2.87010e12 − 2.50753e12i 0.494810 − 0.432303i
\(687\) 9.83250e11 + 1.23296e12i 0.168406 + 0.211175i
\(688\) −3.97761e11 − 2.37651e11i −0.0676821 − 0.0404382i
\(689\) −7.95239e11 − 1.20474e12i −0.134435 − 0.203660i
\(690\) 2.01553e12 + 8.83061e12i 0.338507 + 1.48310i
\(691\) −7.92330e11 − 1.85375e12i −0.132207 − 0.309314i 0.840325 − 0.542083i \(-0.182364\pi\)
−0.972532 + 0.232769i \(0.925221\pi\)
\(692\) 2.36146e12 − 2.12535e11i 0.391473 − 0.0352333i
\(693\) −1.18623e12 − 8.61849e11i −0.195376 − 0.141949i
\(694\) −7.08524e12 − 1.28578e12i −1.15941 − 0.210402i
\(695\) 4.89701e12 − 1.14571e13i 0.796158 − 1.86270i
\(696\) −3.62134e12 + 1.11453e13i −0.584962 + 1.80033i
\(697\) −6.62058e11 − 1.23031e12i −0.106255 − 0.197454i
\(698\) 6.50108e11 + 6.79959e11i 0.103666 + 0.108426i
\(699\) 6.25948e12 − 1.16321e13i 0.991724 − 1.84293i
\(700\) −5.80300e11 + 1.60153e11i −0.0913506 + 0.0252112i
\(701\) −9.55923e11 − 7.05691e12i −0.149517 − 1.10378i −0.897800 − 0.440403i \(-0.854836\pi\)
0.748283 − 0.663380i \(-0.230879\pi\)
\(702\) −5.81110e11 + 4.28992e12i −0.0903111 + 0.666703i
\(703\) 4.10344e12 + 1.13248e12i 0.633649 + 0.174876i
\(704\) 5.40430e11 − 5.65246e11i 0.0829206 − 0.0867282i
\(705\) −3.33261e12 − 1.02567e13i −0.508081 − 1.56371i
\(706\) 1.52709e12 + 1.37440e11i 0.231336 + 0.0208206i
\(707\) 2.83302e12 + 2.47514e12i 0.426444 + 0.372573i
\(708\) 3.82024e11 − 8.50642e12i 0.0571401 − 1.27232i
\(709\) −1.08140e13 −1.60723 −0.803613 − 0.595153i \(-0.797092\pi\)
−0.803613 + 0.595153i \(0.797092\pi\)
\(710\) 2.80059e12 − 3.89403e12i 0.413606 − 0.575091i
\(711\) 4.47510e12 0.656734
\(712\) 2.25468e11 − 5.02044e12i 0.0328795 − 0.732120i
\(713\) −1.32402e13 − 1.15676e13i −1.91863 − 1.67626i
\(714\) −9.37608e11 − 8.43863e10i −0.135014 − 0.0121515i
\(715\) 5.13397e11 + 1.58007e12i 0.0734643 + 0.226100i
\(716\) −3.23535e12 + 3.38392e12i −0.460059 + 0.481184i
\(717\) −2.53662e12 − 7.00063e11i −0.358442 − 0.0989238i
\(718\) −9.95842e11 + 7.35160e12i −0.139840 + 1.03234i
\(719\) 1.46042e12 + 1.07813e13i 0.203797 + 1.50449i 0.746963 + 0.664865i \(0.231511\pi\)
−0.543166 + 0.839625i \(0.682775\pi\)
\(720\) 1.17321e12 − 3.23786e11i 0.162697 − 0.0449016i
\(721\) −4.26700e12 + 7.92941e12i −0.588049 + 1.09278i
\(722\) 1.51281e12 + 1.58227e12i 0.207189 + 0.216702i
\(723\) 7.26550e12 + 1.35016e13i 0.988879 + 1.83765i
\(724\) 1.37144e12 − 4.22086e12i 0.185504 − 0.570923i
\(725\) −5.68390e11 + 1.32981e12i −0.0764056 + 0.178760i
\(726\) −7.40834e12 − 1.34442e12i −0.989706 − 0.179605i
\(727\) −9.00025e12 − 6.53906e12i −1.19495 − 0.868182i −0.201171 − 0.979556i \(-0.564475\pi\)
−0.993779 + 0.111374i \(0.964475\pi\)
\(728\) 1.04631e13 − 9.41696e11i 1.38060 − 0.124257i
\(729\) 4.85500e12 + 1.13588e13i 0.636671 + 1.48957i
\(730\) 1.00369e12 + 4.39744e12i 0.130811 + 0.573122i
\(731\) 4.18138e11 + 6.33452e11i 0.0541616 + 0.0820513i
\(732\) −5.37835e12 − 3.21341e12i −0.692387 − 0.413682i
\(733\) −7.15899e12 − 8.97709e12i −0.915976 − 1.14860i −0.988498 − 0.151231i \(-0.951676\pi\)
0.0725226 − 0.997367i \(-0.476895\pi\)
\(734\) 6.45776e12 − 5.64198e12i 0.821202 − 0.717462i
\(735\) 4.03105e10 − 2.92873e10i 0.00509477 − 0.00370157i
\(736\) 9.38892e12 − 4.52147e12i 1.17941 − 0.567975i
\(737\) −1.10626e11 + 1.67591e11i −0.0138119 + 0.0209241i
\(738\) 1.25172e13 + 4.69777e12i 1.55329 + 0.582959i
\(739\) −2.06698e12 + 1.23497e12i −0.254940 + 0.152319i −0.634683 − 0.772772i \(-0.718869\pi\)
0.379744 + 0.925092i \(0.376012\pi\)
\(740\) 4.03578e12 + 1.94353e12i 0.494749 + 0.238258i
\(741\) 1.26448e13 − 2.29470e12i 1.54074 − 0.279604i
\(742\) −2.17604e11 + 9.53386e11i −0.0263542 + 0.115465i
\(743\) −6.05495e12 + 2.27246e12i −0.728888 + 0.273556i −0.688105 − 0.725612i \(-0.741557\pi\)
−0.0407839 + 0.999168i \(0.512986\pi\)
\(744\) −1.58022e13 + 1.98153e13i −1.89077 + 2.37095i
\(745\) 3.52005e11 + 7.83799e12i 0.0418644 + 0.932184i
\(746\) 1.82289e11 + 4.05899e12i 0.0215495 + 0.479836i
\(747\) −2.67960e12 + 3.36011e12i −0.314867 + 0.394831i
\(748\) −9.79618e10 + 3.67657e10i −0.0114419 + 0.00429423i
\(749\) 9.21704e11 − 4.03825e12i 0.107010 − 0.468840i
\(750\) −7.93079e12 + 1.43923e12i −0.915252 + 0.166094i
\(751\) 1.03670e12 + 4.99247e11i 0.118925 + 0.0572712i 0.492400 − 0.870369i \(-0.336120\pi\)
−0.373475 + 0.927640i \(0.621834\pi\)
\(752\) 7.66540e11 −