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Properties

Label 71.10.g.a.2.2
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 2.2
Character \(\chi\) \(=\) 71.2
Dual form 71.10.g.a.36.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.95578 + 43.5489i) q^{2} +(-130.482 - 113.998i) q^{3} +(-1382.74 - 124.449i) q^{4} +(729.287 + 2244.51i) q^{5} +(5219.69 - 5459.36i) q^{6} +(-9550.39 - 2635.74i) q^{7} +(5127.92 - 37855.8i) q^{8} +(1387.71 + 10244.5i) q^{9} +O(q^{10})\) \(q+(-1.95578 + 43.5489i) q^{2} +(-130.482 - 113.998i) q^{3} +(-1382.74 - 124.449i) q^{4} +(729.287 + 2244.51i) q^{5} +(5219.69 - 5459.36i) q^{6} +(-9550.39 - 2635.74i) q^{7} +(5127.92 - 37855.8i) q^{8} +(1387.71 + 10244.5i) q^{9} +(-99172.4 + 27369.8i) q^{10} +(-4461.52 + 8290.89i) q^{11} +(166235. + 173868. i) q^{12} +(-65803.7 - 122284. i) q^{13} +(133462. - 410754. i) q^{14} +(160712. - 376005. i) q^{15} +(939147. + 170430. i) q^{16} +(289725. + 210497. i) q^{17} +(-448849. + 40397.1i) q^{18} +(-130929. - 306324. i) q^{19} +(-729086. - 3.19434e6i) q^{20} +(945679. + 1.43264e6i) q^{21} +(-352333. - 210509. i) q^{22} +(-573711. - 719411. i) q^{23} +(-4.98460e6 + 4.35491e6i) q^{24} +(-2.92588e6 + 2.12577e6i) q^{25} +(5.45401e6 - 2.62651e6i) q^{26} +(-891992. + 1.35131e6i) q^{27} +(1.28777e7 + 4.83307e6i) q^{28} +(2.97147e6 - 1.77537e6i) q^{29} +(1.60603e7 + 7.73422e6i) q^{30} +(-6.35989e6 + 1.15415e6i) q^{31} +(-4.90648e6 + 2.14967e7i) q^{32} +(1.52729e6 - 573203. i) q^{33} +(-9.73356e6 + 1.22055e7i) q^{34} +(-1.04902e6 - 2.33582e7i) q^{35} +(-643926. - 1.43381e7i) q^{36} +(-5.72130e6 + 7.17429e6i) q^{37} +(1.35961e7 - 5.10271e6i) q^{38} +(-5.35397e6 + 2.34573e7i) q^{39} +(8.87076e7 - 1.60981e7i) q^{40} +(9.10033e6 + 4.38249e6i) q^{41} +(-6.42395e7 + 3.83813e7i) q^{42} +(-2.43587e7 - 9.14199e6i) q^{43} +(7.20091e6 - 1.09089e7i) q^{44} +(-2.19818e7 + 1.05859e7i) q^{45} +(3.24516e7 - 2.35774e7i) q^{46} +(-3.19455e7 + 2.79100e7i) q^{47} +(-1.03113e8 - 1.29299e8i) q^{48} +(4.96213e7 + 2.96473e7i) q^{49} +(-8.68526e7 - 1.31576e8i) q^{50} +(-1.38074e7 - 6.04941e7i) q^{51} +(7.57712e7 + 1.77276e8i) q^{52} +(-3.16811e7 + 2.85135e6i) q^{53} +(-5.71035e7 - 4.14881e7i) q^{54} +(-2.18628e7 - 3.96751e6i) q^{55} +(-1.48752e8 + 3.48022e8i) q^{56} +(-1.78366e7 + 5.48953e7i) q^{57} +(7.15038e7 + 1.32876e8i) q^{58} +(2.05857e7 + 2.15309e7i) q^{59} +(-2.69017e8 + 4.99916e8i) q^{60} +(1.35560e8 - 3.74123e7i) q^{61} +(-3.78234e7 - 2.79223e8i) q^{62} +(1.37486e7 - 1.01496e8i) q^{63} +(-4.55474e8 - 1.25703e8i) q^{64} +(2.26478e8 - 2.36877e8i) q^{65} +(2.19753e7 + 6.76329e7i) q^{66} +(1.92690e8 + 1.73424e7i) q^{67} +(-3.74417e8 - 3.27119e8i) q^{68} +(-7.15291e6 + 1.59272e8i) q^{69} +1.01927e9 q^{70} +(-2.11723e8 - 3.19646e7i) q^{71} +3.94929e8 q^{72} +(1.75852e6 - 3.91564e7i) q^{73} +(-3.01242e8 - 2.63188e8i) q^{74} +(6.24107e8 + 5.61707e7i) q^{75} +(1.42919e8 + 4.39860e8i) q^{76} +(6.44619e7 - 6.74218e7i) q^{77} +(-1.01107e9 - 2.79036e8i) q^{78} +(4.66562e7 - 3.44430e8i) q^{79} +(3.02375e8 + 2.23222e9i) q^{80} +(4.66586e8 - 1.28770e8i) q^{81} +(-2.08651e8 + 3.87738e8i) q^{82} +(5.60316e8 + 5.86044e8i) q^{83} +(-1.12934e9 - 2.09866e9i) q^{84} +(-2.61172e8 + 8.03804e8i) q^{85} +(4.45763e8 - 1.04292e9i) q^{86} +(-5.90111e8 - 1.07089e8i) q^{87} +(2.90980e8 + 2.11409e8i) q^{88} +(-2.92314e8 + 2.63087e7i) q^{89} +(-4.18012e8 - 9.77987e8i) q^{90} +(3.06143e8 + 1.34130e9i) q^{91} +(7.03763e8 + 1.06616e9i) q^{92} +(9.61419e8 + 5.74421e8i) q^{93} +(-1.15297e9 - 1.44578e9i) q^{94} +(5.92063e8 - 5.17270e8i) q^{95} +(3.09079e9 - 2.24559e9i) q^{96} +(-4.09446e8 + 1.97179e8i) q^{97} +(-1.38816e9 + 2.10297e9i) q^{98} +(-9.11271e7 - 3.42006e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.95578 + 43.5489i −0.0864341 + 1.92461i 0.225037 + 0.974350i \(0.427750\pi\)
−0.311471 + 0.950256i \(0.600822\pi\)
\(3\) −130.482 − 113.998i −0.930044 − 0.812555i 0.0524935 − 0.998621i \(-0.483283\pi\)
−0.982537 + 0.186067i \(0.940426\pi\)
\(4\) −1382.74 − 124.449i −2.70066 − 0.243064i
\(5\) 729.287 + 2244.51i 0.521835 + 1.60604i 0.770490 + 0.637452i \(0.220012\pi\)
−0.248655 + 0.968592i \(0.579988\pi\)
\(6\) 5219.69 − 5459.36i 1.64423 − 1.71973i
\(7\) −9550.39 − 2635.74i −1.50342 − 0.414917i −0.585166 − 0.810913i \(-0.698971\pi\)
−0.918252 + 0.395996i \(0.870399\pi\)
\(8\) 5127.92 − 37855.8i 0.442625 − 3.26759i
\(9\) 1387.71 + 10244.5i 0.0705028 + 0.520473i
\(10\) −99172.4 + 27369.8i −3.13611 + 0.865510i
\(11\) −4461.52 + 8290.89i −0.0918789 + 0.170740i −0.922387 − 0.386267i \(-0.873764\pi\)
0.830508 + 0.557006i \(0.188050\pi\)
\(12\) 166235. + 173868.i 2.31423 + 2.42050i
\(13\) −65803.7 − 122284.i −0.639006 − 1.18747i −0.969831 − 0.243780i \(-0.921613\pi\)
0.330824 − 0.943692i \(-0.392673\pi\)
\(14\) 133462. − 410754.i 0.928498 − 2.85762i
\(15\) 160712. − 376005.i 0.819669 − 1.91771i
\(16\) 939147. + 170430.i 3.58256 + 0.650139i
\(17\) 289725. + 210497.i 0.841328 + 0.611261i 0.922741 − 0.385420i \(-0.125943\pi\)
−0.0814133 + 0.996680i \(0.525943\pi\)
\(18\) −448849. + 40397.1i −1.00780 + 0.0907035i
\(19\) −130929. − 306324.i −0.230486 − 0.539249i 0.763867 − 0.645374i \(-0.223299\pi\)
−0.994353 + 0.106125i \(0.966156\pi\)
\(20\) −729086. − 3.19434e6i −1.01893 − 4.46422i
\(21\) 945679. + 1.43264e6i 1.06110 + 1.60750i
\(22\) −352333. − 210509.i −0.320665 − 0.191588i
\(23\) −573711. − 719411.i −0.427482 − 0.536046i 0.520714 − 0.853731i \(-0.325666\pi\)
−0.948196 + 0.317686i \(0.897094\pi\)
\(24\) −4.98460e6 + 4.35491e6i −3.06676 + 2.67934i
\(25\) −2.92588e6 + 2.12577e6i −1.49805 + 1.08840i
\(26\) 5.45401e6 − 2.62651e6i 2.34065 − 1.12720i
\(27\) −891992. + 1.35131e6i −0.323016 + 0.489349i
\(28\) 1.28777e7 + 4.83307e6i 3.95937 + 1.48598i
\(29\) 2.97147e6 − 1.77537e6i 0.780154 − 0.466120i −0.0668130 − 0.997766i \(-0.521283\pi\)
0.846967 + 0.531645i \(0.178426\pi\)
\(30\) 1.60603e7 + 7.73422e6i 3.61999 + 1.74330i
\(31\) −6.35989e6 + 1.15415e6i −1.23686 + 0.224458i −0.757311 − 0.653055i \(-0.773487\pi\)
−0.479554 + 0.877513i \(0.659201\pi\)
\(32\) −4.90648e6 + 2.14967e7i −0.827170 + 3.62407i
\(33\) 1.52729e6 − 573203.i 0.224187 − 0.0841386i
\(34\) −9.73356e6 + 1.22055e7i −1.24916 + 1.56639i
\(35\) −1.04902e6 − 2.33582e7i −0.118162 − 2.63107i
\(36\) −643926. − 1.43381e7i −0.0638961 − 1.42276i
\(37\) −5.72130e6 + 7.17429e6i −0.501865 + 0.629319i −0.966649 − 0.256105i \(-0.917561\pi\)
0.464784 + 0.885424i \(0.346132\pi\)
\(38\) 1.35961e7 − 5.10271e6i 1.05776 − 0.396986i
\(39\) −5.35397e6 + 2.34573e7i −0.370583 + 1.62363i
\(40\) 8.87076e7 − 1.60981e7i 5.47887 − 0.994269i
\(41\) 9.10033e6 + 4.38249e6i 0.502956 + 0.242211i 0.668117 − 0.744056i \(-0.267100\pi\)
−0.165162 + 0.986266i \(0.552815\pi\)
\(42\) −6.42395e7 + 3.83813e7i −3.18552 + 1.90326i
\(43\) −2.43587e7 − 9.14199e6i −1.08654 − 0.407786i −0.257104 − 0.966384i \(-0.582768\pi\)
−0.829439 + 0.558598i \(0.811340\pi\)
\(44\) 7.20091e6 − 1.09089e7i 0.289634 − 0.438777i
\(45\) −2.19818e7 + 1.05859e7i −0.799111 + 0.384832i
\(46\) 3.24516e7 − 2.35774e7i 1.06863 − 0.776402i
\(47\) −3.19455e7 + 2.79100e7i −0.954926 + 0.834294i −0.986258 − 0.165215i \(-0.947168\pi\)
0.0313314 + 0.999509i \(0.490025\pi\)
\(48\) −1.03113e8 − 1.29299e8i −2.80367 − 3.51569i
\(49\) 4.96213e7 + 2.96473e7i 1.22966 + 0.734689i
\(50\) −8.68526e7 − 1.31576e8i −1.96525 − 2.97723i
\(51\) −1.38074e7 − 6.04941e7i −0.285789 − 1.25212i
\(52\) 7.57712e7 + 1.77276e8i 1.43711 + 3.36228i
\(53\) −3.16811e7 + 2.85135e6i −0.551518 + 0.0496375i −0.361894 − 0.932219i \(-0.617870\pi\)
−0.189624 + 0.981857i \(0.560727\pi\)
\(54\) −5.71035e7 − 4.14881e7i −0.913883 − 0.663975i
\(55\) −2.18628e7 − 3.96751e6i −0.322161 − 0.0584636i
\(56\) −1.48752e8 + 3.48022e8i −2.02123 + 4.72890i
\(57\) −1.78366e7 + 5.48953e7i −0.223807 + 0.688808i
\(58\) 7.15038e7 + 1.32876e8i 0.829666 + 1.54178i
\(59\) 2.05857e7 + 2.15309e7i 0.221172 + 0.231328i 0.824067 − 0.566493i \(-0.191700\pi\)
−0.602894 + 0.797821i \(0.705986\pi\)
\(60\) −2.69017e8 + 4.99916e8i −2.67977 + 4.97986i
\(61\) 1.35560e8 − 3.74123e7i 1.25357 − 0.345963i 0.424663 − 0.905351i \(-0.360393\pi\)
0.828906 + 0.559388i \(0.188964\pi\)
\(62\) −3.78234e7 − 2.79223e8i −0.325085 − 2.39988i
\(63\) 1.37486e7 − 1.01496e8i 0.109958 − 0.811741i
\(64\) −4.55474e8 − 1.25703e8i −3.39354 − 0.936559i
\(65\) 2.26478e8 − 2.36877e8i 1.57368 − 1.64594i
\(66\) 2.19753e7 + 6.76329e7i 0.142556 + 0.438743i
\(67\) 1.92690e8 + 1.73424e7i 1.16821 + 0.105141i 0.656712 − 0.754141i \(-0.271947\pi\)
0.511502 + 0.859282i \(0.329089\pi\)
\(68\) −3.74417e8 − 3.27119e8i −2.12357 − 1.85530i
\(69\) −7.15291e6 + 1.59272e8i −0.0379893 + 0.845898i
\(70\) 1.01927e9 5.07399
\(71\) −2.11723e8 − 3.19646e7i −0.988795 − 0.149282i
\(72\) 3.94929e8 1.73190
\(73\) 1.75852e6 − 3.91564e7i 0.00724759 − 0.161380i −0.992105 − 0.125408i \(-0.959976\pi\)
0.999353 − 0.0359718i \(-0.0114527\pi\)
\(74\) −3.01242e8 − 2.63188e8i −1.16781 − 1.02029i
\(75\) 6.24107e8 + 5.61707e7i 2.27763 + 0.204991i
\(76\) 1.42919e8 + 4.39860e8i 0.491393 + 1.51235i
\(77\) 6.44619e7 − 6.74218e7i 0.208975 − 0.218571i
\(78\) −1.01107e9 − 2.79036e8i −3.09281 − 0.853562i
\(79\) 4.66562e7 − 3.44430e8i 0.134768 − 0.994898i −0.789661 − 0.613544i \(-0.789743\pi\)
0.924429 − 0.381354i \(-0.124542\pi\)
\(80\) 3.02375e8 + 2.23222e9i 0.825356 + 6.09302i
\(81\) 4.66586e8 − 1.28770e8i 1.20434 − 0.332377i
\(82\) −2.08651e8 + 3.87738e8i −0.509633 + 0.947056i
\(83\) 5.60316e8 + 5.86044e8i 1.29593 + 1.35544i 0.899223 + 0.437490i \(0.144132\pi\)
0.396706 + 0.917946i \(0.370153\pi\)
\(84\) −1.12934e9 − 2.09866e9i −2.47495 − 4.59923i
\(85\) −2.61172e8 + 8.03804e8i −0.542677 + 1.67019i
\(86\) 4.45763e8 − 1.04292e9i 0.878742 − 2.05592i
\(87\) −5.90111e8 − 1.07089e8i −1.10433 − 0.200406i
\(88\) 2.90980e8 + 2.11409e8i 0.517239 + 0.375796i
\(89\) −2.92314e8 + 2.63087e7i −0.493849 + 0.0444472i −0.333765 − 0.942656i \(-0.608319\pi\)
−0.160084 + 0.987103i \(0.551176\pi\)
\(90\) −4.18012e8 − 9.77987e8i −0.671579 − 1.57124i
\(91\) 3.06143e8 + 1.34130e9i 0.467991 + 2.05040i
\(92\) 7.03763e8 + 1.06616e9i 1.02419 + 1.55158i
\(93\) 9.61419e8 + 5.74421e8i 1.33272 + 0.796264i
\(94\) −1.15297e9 − 1.44578e9i −1.52315 − 1.90997i
\(95\) 5.92063e8 − 5.17270e8i 0.745782 − 0.651570i
\(96\) 3.09079e9 − 2.24559e9i 3.71406 − 2.69842i
\(97\) −4.09446e8 + 1.97179e8i −0.469595 + 0.226145i −0.653689 − 0.756764i \(-0.726779\pi\)
0.184093 + 0.982909i \(0.441065\pi\)
\(98\) −1.38816e9 + 2.10297e9i −1.52027 + 2.30311i
\(99\) −9.11271e7 − 3.42006e7i −0.0953430 − 0.0357828i
\(100\) 4.31027e9 − 2.57527e9i 4.31027 − 2.57527i
\(101\) 5.73521e8 + 2.76193e8i 0.548407 + 0.264099i 0.687505 − 0.726180i \(-0.258706\pi\)
−0.139098 + 0.990279i \(0.544420\pi\)
\(102\) 2.66145e9 − 4.82983e8i 2.43455 − 0.441805i
\(103\) −2.96121e8 + 1.29739e9i −0.259240 + 1.13580i 0.662827 + 0.748772i \(0.269356\pi\)
−0.922067 + 0.387031i \(0.873501\pi\)
\(104\) −4.96658e9 + 1.86399e9i −4.16301 + 1.56241i
\(105\) −2.52592e9 + 3.16740e9i −2.02800 + 2.54303i
\(106\) −6.22118e7 − 1.38525e9i −0.0478626 − 1.06574i
\(107\) 2.28503e7 + 5.08802e8i 0.0168525 + 0.375251i 0.989642 + 0.143559i \(0.0458547\pi\)
−0.972789 + 0.231692i \(0.925574\pi\)
\(108\) 1.40156e9 − 1.75750e9i 0.991300 − 1.24305i
\(109\) 1.14838e9 − 4.30994e8i 0.779231 − 0.292450i 0.0701122 − 0.997539i \(-0.477664\pi\)
0.709119 + 0.705089i \(0.249093\pi\)
\(110\) 2.15539e8 − 9.44339e8i 0.140365 − 0.614980i
\(111\) 1.56438e9 − 2.83893e8i 0.978113 − 0.177501i
\(112\) −8.52001e9 − 4.10302e9i −5.11634 − 2.46390i
\(113\) 1.59186e9 − 9.51095e8i 0.918445 − 0.548745i 0.0258804 − 0.999665i \(-0.491761\pi\)
0.892564 + 0.450920i \(0.148904\pi\)
\(114\) −2.35574e9 − 8.84125e8i −1.30634 − 0.490277i
\(115\) 1.19633e9 − 1.81236e9i 0.637838 − 0.966283i
\(116\) −4.32971e9 + 2.08508e9i −2.22023 + 1.06921i
\(117\) 1.16142e9 − 8.43817e8i 0.572995 − 0.416305i
\(118\) −9.77908e8 + 8.54372e8i −0.464332 + 0.405675i
\(119\) −2.21217e9 − 2.77397e9i −1.01125 − 1.26806i
\(120\) −1.34099e10 − 8.01202e9i −5.90349 − 3.52717i
\(121\) 1.25015e9 + 1.89390e9i 0.530187 + 0.803199i
\(122\) 1.36413e9 + 5.97667e9i 0.557491 + 2.44253i
\(123\) −6.87829e8 − 1.60926e9i −0.270961 − 0.633945i
\(124\) 8.93770e9 − 8.04408e8i 3.39491 − 0.305547i
\(125\) −3.17603e9 − 2.30752e9i −1.16356 − 0.845378i
\(126\) 4.39316e9 + 7.97240e8i 1.55278 + 0.281788i
\(127\) 1.56403e9 − 3.65923e9i 0.533492 − 1.24817i −0.408570 − 0.912727i \(-0.633972\pi\)
0.942062 − 0.335440i \(-0.108885\pi\)
\(128\) 2.87642e9 − 8.85271e9i 0.947125 − 2.91495i
\(129\) 2.13619e9 + 3.96971e9i 0.679183 + 1.26213i
\(130\) 9.87279e9 + 1.03261e10i 3.03176 + 3.17097i
\(131\) 2.29476e9 − 4.26438e9i 0.680795 − 1.26513i −0.272229 − 0.962233i \(-0.587761\pi\)
0.953024 − 0.302896i \(-0.0979535\pi\)
\(132\) −2.18318e9 + 6.02520e8i −0.625903 + 0.172738i
\(133\) 4.43034e8 + 3.27061e9i 0.122773 + 0.906350i
\(134\) −1.13210e9 + 8.35751e9i −0.303329 + 2.23926i
\(135\) −3.68356e9 − 1.01660e9i −0.954476 − 0.263419i
\(136\) 9.45423e9 − 9.88835e9i 2.36974 − 2.47856i
\(137\) −1.14465e9 − 3.52287e9i −0.277607 − 0.854387i −0.988518 − 0.151104i \(-0.951717\pi\)
0.710911 − 0.703282i \(-0.248283\pi\)
\(138\) −6.92212e9 − 6.23002e8i −1.62474 − 0.146229i
\(139\) −4.95291e9 − 4.32722e9i −1.12537 − 0.983202i −0.125405 − 0.992106i \(-0.540023\pi\)
−0.999960 + 0.00890339i \(0.997166\pi\)
\(140\) −1.45638e9 + 3.24288e10i −0.320405 + 7.13436i
\(141\) 7.34999e9 1.56603
\(142\) 1.80611e9 − 9.15779e9i 0.372774 − 1.89014i
\(143\) 1.30743e9 0.261460
\(144\) −4.42704e8 + 9.85757e9i −0.0857990 + 1.91046i
\(145\) 6.15190e9 + 5.37475e9i 1.15572 + 1.00972i
\(146\) 1.70178e9 + 1.53163e8i 0.309967 + 0.0278975i
\(147\) −3.09491e9 − 9.52517e9i −0.546664 − 1.68246i
\(148\) 8.80390e9 − 9.20816e9i 1.50833 − 1.57759i
\(149\) 1.74680e9 + 4.82086e8i 0.290339 + 0.0801284i 0.408172 − 0.912905i \(-0.366166\pi\)
−0.117833 + 0.993033i \(0.537595\pi\)
\(150\) −3.66678e9 + 2.70693e10i −0.591391 + 4.36582i
\(151\) 3.75980e8 + 2.77560e9i 0.0588530 + 0.434471i 0.996272 + 0.0862672i \(0.0274939\pi\)
−0.937419 + 0.348203i \(0.886792\pi\)
\(152\) −1.22675e10 + 3.38562e9i −1.86406 + 0.514449i
\(153\) −1.75438e9 + 3.26018e9i −0.258829 + 0.480984i
\(154\) 2.81007e9 + 2.93910e9i 0.402600 + 0.421087i
\(155\) −7.22869e9 − 1.34332e10i −1.00593 − 1.86933i
\(156\) 1.03224e10 − 3.17690e10i 1.39546 − 4.29480i
\(157\) −2.16176e9 + 5.05769e9i −0.283961 + 0.664361i −0.999411 − 0.0343033i \(-0.989079\pi\)
0.715450 + 0.698664i \(0.246222\pi\)
\(158\) 1.49083e10 + 2.70545e9i 1.90314 + 0.345369i
\(159\) 4.45885e9 + 3.23955e9i 0.553269 + 0.401973i
\(160\) −5.18278e10 + 4.66459e9i −6.25206 + 0.562696i
\(161\) 3.58298e9 + 8.38281e9i 0.420270 + 0.983270i
\(162\) 4.69523e9 + 2.05711e10i 0.535598 + 2.34661i
\(163\) −7.73567e8 − 1.17190e9i −0.0858329 − 0.130031i 0.789121 − 0.614238i \(-0.210537\pi\)
−0.874953 + 0.484207i \(0.839108\pi\)
\(164\) −1.20380e10 − 7.19236e9i −1.29944 − 0.776380i
\(165\) 2.40040e9 + 3.01000e9i 0.252119 + 0.316147i
\(166\) −2.66174e10 + 2.32549e10i −2.72069 + 2.37700i
\(167\) 3.16493e9 − 2.29946e9i 0.314876 − 0.228771i −0.419110 − 0.907936i \(-0.637658\pi\)
0.733986 + 0.679165i \(0.237658\pi\)
\(168\) 5.90832e10 − 2.84530e10i 5.72232 − 2.75573i
\(169\) −4.78119e9 + 7.24320e9i −0.450865 + 0.683031i
\(170\) −3.44940e10 − 1.29458e10i −3.16755 − 1.18880i
\(171\) 2.95643e9 − 1.76639e9i 0.264415 − 0.157980i
\(172\) 3.25441e10 + 1.56724e10i 2.83527 + 1.36539i
\(173\) 1.51753e10 − 2.75391e9i 1.28804 − 0.233745i 0.509028 − 0.860750i \(-0.330005\pi\)
0.779015 + 0.627005i \(0.215719\pi\)
\(174\) 5.81775e9 − 2.54892e10i 0.481153 − 2.10807i
\(175\) 3.35462e10 − 1.25901e10i 2.70379 − 1.01475i
\(176\) −5.60304e9 + 7.02599e9i −0.440166 + 0.551951i
\(177\) −2.31561e8 − 5.15611e9i −0.0177332 − 0.394860i
\(178\) −5.74013e8 − 1.27814e10i −0.0428580 − 0.954306i
\(179\) 4.50875e9 − 5.65379e9i 0.328260 − 0.411625i −0.590126 − 0.807311i \(-0.700922\pi\)
0.918386 + 0.395687i \(0.129493\pi\)
\(180\) 3.17125e10 − 1.19019e10i 2.25167 − 0.845065i
\(181\) 3.00234e9 − 1.31541e10i 0.207925 − 0.910977i −0.758021 − 0.652231i \(-0.773833\pi\)
0.965945 − 0.258747i \(-0.0833094\pi\)
\(182\) −5.90107e10 + 1.07089e10i −3.98667 + 0.723473i
\(183\) −2.19530e10 − 1.05720e10i −1.44699 − 0.696833i
\(184\) −3.01758e10 + 1.80292e10i −1.94079 + 1.15957i
\(185\) −2.02753e10 − 7.60943e9i −1.27261 − 0.477617i
\(186\) −2.68957e10 + 4.07453e10i −1.64769 + 2.49614i
\(187\) −3.03782e9 + 1.46294e9i −0.181667 + 0.0874861i
\(188\) 4.76457e10 − 3.46166e10i 2.78172 − 2.02104i
\(189\) 1.20806e10 − 1.05545e10i 0.688667 − 0.601671i
\(190\) 2.13686e10 + 2.67954e10i 1.18955 + 1.49165i
\(191\) 1.05503e10 + 6.30353e9i 0.573609 + 0.342715i 0.770232 − 0.637764i \(-0.220140\pi\)
−0.196623 + 0.980479i \(0.562998\pi\)
\(192\) 4.51010e10 + 6.83251e10i 2.39514 + 3.62848i
\(193\) 5.78006e8 + 2.53241e9i 0.0299864 + 0.131379i 0.987706 − 0.156326i \(-0.0499650\pi\)
−0.957719 + 0.287705i \(0.907108\pi\)
\(194\) −7.78612e9 − 1.82165e10i −0.394651 − 0.923333i
\(195\) −5.65548e10 + 5.09002e9i −2.80100 + 0.252095i
\(196\) −6.49237e10 − 4.71698e10i −3.14232 − 2.28303i
\(197\) 1.06912e10 + 1.94017e9i 0.505742 + 0.0917786i 0.425430 − 0.904991i \(-0.360123\pi\)
0.0803116 + 0.996770i \(0.474408\pi\)
\(198\) 1.66762e9 − 3.90159e9i 0.0771088 − 0.180405i
\(199\) −1.07156e10 + 3.29791e10i −0.484369 + 1.49073i 0.348524 + 0.937300i \(0.386683\pi\)
−0.832893 + 0.553434i \(0.813317\pi\)
\(200\) 6.54692e10 + 1.21662e11i 2.89336 + 5.37676i
\(201\) −2.31655e10 − 2.42292e10i −1.00106 − 1.04702i
\(202\) −1.31496e10 + 2.44360e10i −0.555687 + 1.03264i
\(203\) −3.30581e10 + 9.12346e9i −1.36630 + 0.377075i
\(204\) 1.15636e10 + 8.53659e10i 0.467474 + 3.45103i
\(205\) −3.19981e9 + 2.36219e10i −0.126541 + 0.934163i
\(206\) −5.59207e10 − 1.54331e10i −2.16357 − 0.597106i
\(207\) 6.57384e9 − 6.87570e9i 0.248858 − 0.260286i
\(208\) −4.09585e10 − 1.26057e11i −1.51726 − 4.66964i
\(209\) 3.12384e9 + 2.81151e8i 0.113248 + 0.0101925i
\(210\) −1.32996e11 − 1.16196e11i −4.71904 − 4.12290i
\(211\) −4.83283e8 + 1.07611e10i −0.0167854 + 0.373755i 0.972966 + 0.230950i \(0.0741835\pi\)
−0.989751 + 0.142805i \(0.954388\pi\)
\(212\) 4.41616e10 1.50153
\(213\) 2.39821e10 + 2.83069e10i 0.798323 + 0.942288i
\(214\) −2.22024e10 −0.723666
\(215\) 2.75481e9 − 6.13407e10i 0.0879264 − 1.95783i
\(216\) 4.65809e10 + 4.06965e10i 1.45602 + 1.27208i
\(217\) 6.37815e10 + 5.74044e9i 1.95266 + 0.175742i
\(218\) 1.65233e10 + 5.08536e10i 0.495499 + 1.52499i
\(219\) −4.69322e9 + 4.90872e9i −0.137871 + 0.144201i
\(220\) 2.97367e10 + 8.20682e9i 0.855837 + 0.236196i
\(221\) 6.67544e9 − 4.92801e10i 0.188241 − 1.38965i
\(222\) 9.30364e9 + 6.86822e10i 0.257078 + 1.89782i
\(223\) 1.72101e10 − 4.74968e9i 0.466027 − 0.128615i −0.0251340 − 0.999684i \(-0.508001\pi\)
0.491161 + 0.871069i \(0.336573\pi\)
\(224\) 1.03518e11 − 1.92369e11i 2.74727 − 5.10528i
\(225\) −2.58377e10 − 2.70241e10i −0.672097 − 0.702958i
\(226\) 3.83057e10 + 7.11840e10i 0.976733 + 1.81507i
\(227\) 4.50307e9 − 1.38590e10i 0.112562 − 0.346430i −0.878869 − 0.477064i \(-0.841701\pi\)
0.991431 + 0.130633i \(0.0417011\pi\)
\(228\) 3.14950e10 − 7.36861e10i 0.771852 − 1.80584i
\(229\) −6.41496e10 − 1.16414e10i −1.54147 − 0.279735i −0.659740 − 0.751494i \(-0.729334\pi\)
−0.881728 + 0.471759i \(0.843619\pi\)
\(230\) 7.65864e10 + 5.56433e10i 1.80458 + 1.31111i
\(231\) −1.60971e10 + 1.44876e9i −0.371957 + 0.0334767i
\(232\) −5.19707e10 − 1.21591e11i −1.17777 − 2.75554i
\(233\) 6.68777e9 + 2.93010e10i 0.148655 + 0.651301i 0.993260 + 0.115910i \(0.0369784\pi\)
−0.844605 + 0.535391i \(0.820164\pi\)
\(234\) 3.44758e10 + 5.22286e10i 0.751698 + 1.13877i
\(235\) −8.59418e10 − 5.13478e10i −1.83823 − 1.09829i
\(236\) −2.57851e10 − 3.23335e10i −0.541084 − 0.678498i
\(237\) −4.53521e10 + 3.96230e10i −0.933749 + 0.815792i
\(238\) 1.25130e11 − 9.09121e10i 2.52793 − 1.83665i
\(239\) −1.61140e10 + 7.76012e9i −0.319458 + 0.153843i −0.586740 − 0.809775i \(-0.699589\pi\)
0.267282 + 0.963618i \(0.413875\pi\)
\(240\) 2.15015e11 − 3.25734e11i 4.18330 − 6.33742i
\(241\) 3.94414e10 + 1.48026e10i 0.753141 + 0.282658i 0.698269 − 0.715835i \(-0.253954\pi\)
0.0548713 + 0.998493i \(0.482525\pi\)
\(242\) −8.49222e10 + 5.07387e10i −1.59167 + 0.950977i
\(243\) −4.68465e10 − 2.25601e10i −0.861884 − 0.415061i
\(244\) −1.92100e11 + 3.48611e10i −3.46956 + 0.629632i
\(245\) −3.03557e10 + 1.32997e11i −0.538261 + 2.35828i
\(246\) 7.14265e10 − 2.68068e10i 1.24352 − 0.466699i
\(247\) −2.88428e10 + 3.61677e10i −0.493062 + 0.618280i
\(248\) 1.10783e10 + 2.46677e11i 0.185969 + 4.14092i
\(249\) −6.30281e9 − 1.40343e11i −0.103905 − 2.31363i
\(250\) 1.06702e11 − 1.33800e11i 1.72759 − 2.16633i
\(251\) 1.01561e11 − 3.81164e10i 1.61508 − 0.606150i 0.629750 − 0.776798i \(-0.283158\pi\)
0.985332 + 0.170648i \(0.0545861\pi\)
\(252\) −3.16418e10 + 1.38632e11i −0.494264 + 2.16551i
\(253\) 8.52418e9 − 1.54691e9i 0.130801 − 0.0237368i
\(254\) 1.56296e11 + 7.52683e10i 2.35612 + 1.13465i
\(255\) 1.25710e11 − 7.51085e10i 1.86183 − 1.11239i
\(256\) 1.53405e11 + 5.75739e10i 2.23234 + 0.837810i
\(257\) −2.90493e10 + 4.40079e10i −0.415372 + 0.629262i −0.980680 − 0.195618i \(-0.937329\pi\)
0.565308 + 0.824880i \(0.308757\pi\)
\(258\) −1.77054e11 + 8.52649e10i −2.48782 + 1.19807i
\(259\) 7.35502e10 − 5.34374e10i 1.01563 − 0.737898i
\(260\) −3.42639e11 + 2.99354e11i −4.65004 + 4.06261i
\(261\) 2.23113e10 + 2.79774e10i 0.297606 + 0.373186i
\(262\) 1.81221e11 + 1.08274e11i 2.37603 + 1.41961i
\(263\) 5.41736e10 + 8.20694e10i 0.698211 + 1.05774i 0.994711 + 0.102711i \(0.0327518\pi\)
−0.296501 + 0.955033i \(0.595820\pi\)
\(264\) −1.38672e10 − 6.07563e10i −0.175700 − 0.769792i
\(265\) −2.95046e10 − 6.90293e10i −0.367521 − 0.859859i
\(266\) −1.43298e11 + 1.28970e10i −1.75498 + 0.157951i
\(267\) 4.11407e10 + 2.98905e10i 0.495417 + 0.359941i
\(268\) −2.64282e11 − 4.79601e10i −3.12940 − 0.567902i
\(269\) −5.80743e10 + 1.35872e11i −0.676236 + 1.58213i 0.130651 + 0.991428i \(0.458293\pi\)
−0.806887 + 0.590705i \(0.798850\pi\)
\(270\) 5.14759e10 − 1.58426e11i 0.589477 − 1.81422i
\(271\) −4.13867e10 − 7.69094e10i −0.466122 − 0.866199i −0.999790 − 0.0205051i \(-0.993473\pi\)
0.533668 − 0.845694i \(-0.320813\pi\)
\(272\) 2.36219e11 + 2.47066e11i 2.61671 + 2.73686i
\(273\) 1.12960e11 − 2.09914e11i 1.23081 − 2.28723i
\(274\) 1.55656e11 − 4.29583e10i 1.66835 − 0.460436i
\(275\) −4.57070e9 − 3.37423e10i −0.0481932 − 0.355777i
\(276\) 2.97118e10 − 2.19341e11i 0.308204 − 2.27525i
\(277\) 6.93163e10 + 1.91301e10i 0.707418 + 0.195235i 0.601189 − 0.799107i \(-0.294694\pi\)
0.106229 + 0.994342i \(0.466122\pi\)
\(278\) 1.98132e11 − 2.07230e11i 1.98955 − 2.08090i
\(279\) −2.06493e10 − 6.35521e10i −0.204027 − 0.627929i
\(280\) −8.89623e11 − 8.00675e10i −8.64957 − 0.778476i
\(281\) −4.31545e9 − 3.77030e9i −0.0412903 − 0.0360742i 0.637046 − 0.770826i \(-0.280156\pi\)
−0.678337 + 0.734751i \(0.737299\pi\)
\(282\) −1.43750e10 + 3.20084e11i −0.135359 + 3.01399i
\(283\) −7.80867e10 −0.723666 −0.361833 − 0.932243i \(-0.617849\pi\)
−0.361833 + 0.932243i \(0.617849\pi\)
\(284\) 2.88780e11 + 7.05474e10i 2.63412 + 0.643500i
\(285\) −1.36221e11 −1.22305
\(286\) −2.55704e9 + 5.69369e10i −0.0225990 + 0.503207i
\(287\) −7.53606e10 − 6.58405e10i −0.655655 − 0.572829i
\(288\) −2.27031e11 − 2.04331e10i −1.94455 − 0.175012i
\(289\) 2.98561e9 + 9.18877e9i 0.0251764 + 0.0774849i
\(290\) −2.46096e11 + 2.57396e11i −2.04321 + 2.13703i
\(291\) 7.59032e10 + 2.09479e10i 0.620500 + 0.171247i
\(292\) −7.30454e9 + 5.39242e10i −0.0587990 + 0.434071i
\(293\) −2.94966e10 − 2.17753e11i −0.233813 − 1.72608i −0.603884 − 0.797072i \(-0.706381\pi\)
0.370072 − 0.929003i \(-0.379333\pi\)
\(294\) 4.20863e11 − 1.16151e11i 3.28532 − 0.906691i
\(295\) −3.33136e10 + 6.19070e10i −0.256108 + 0.475928i
\(296\) 2.42250e11 + 2.53374e11i 1.83422 + 1.91844i
\(297\) −7.22393e9 − 1.34243e10i −0.0538728 − 0.100112i
\(298\) −2.44107e10 + 7.51283e10i −0.179311 + 0.551862i
\(299\) −5.02199e10 + 1.17495e11i −0.363376 + 0.850160i
\(300\) −8.55987e11 − 1.55339e11i −6.10129 − 1.10722i
\(301\) 2.08539e11 + 1.51513e11i 1.46433 + 1.06390i
\(302\) −1.21609e11 + 1.09451e10i −0.841272 + 0.0757158i
\(303\) −4.33483e10 − 1.01418e11i −0.295448 − 0.691234i
\(304\) −7.07549e10 − 3.09998e11i −0.475144 − 2.08174i
\(305\) 1.82835e11 + 2.76983e11i 1.20979 + 1.83275i
\(306\) −1.38546e11 − 8.27774e10i −0.903333 − 0.539716i
\(307\) −2.28462e10 − 2.86482e10i −0.146788 − 0.184066i 0.703002 − 0.711188i \(-0.251843\pi\)
−0.849790 + 0.527122i \(0.823271\pi\)
\(308\) −9.75245e10 + 8.52046e10i −0.617498 + 0.539492i
\(309\) 1.86538e11 − 1.35528e11i 1.16401 − 0.845700i
\(310\) 5.99137e11 − 2.88529e11i 3.68467 − 1.77444i
\(311\) 6.79958e10 − 1.03009e11i 0.412155 − 0.624387i −0.567904 − 0.823095i \(-0.692246\pi\)
0.980059 + 0.198707i \(0.0636742\pi\)
\(312\) 8.60539e11 + 3.22966e11i 5.14132 + 1.92957i
\(313\) −1.93566e11 + 1.15650e11i −1.13993 + 0.681079i −0.953501 − 0.301389i \(-0.902550\pi\)
−0.186433 + 0.982468i \(0.559693\pi\)
\(314\) −2.16029e11 − 1.04034e11i −1.25409 − 0.603937i
\(315\) 2.37837e11 − 4.31610e10i 1.36107 − 0.246998i
\(316\) −1.07377e11 + 4.70450e11i −0.605787 + 2.65413i
\(317\) −1.55455e11 + 5.83431e10i −0.864643 + 0.324506i −0.743992 − 0.668189i \(-0.767070\pi\)
−0.120651 + 0.992695i \(0.538498\pi\)
\(318\) −1.49799e11 + 1.87842e11i −0.821461 + 1.03008i
\(319\) 1.46214e9 + 3.25570e10i 0.00790551 + 0.176030i
\(320\) −5.00294e10 − 1.11399e12i −0.266717 − 5.93891i
\(321\) 5.50210e10 − 6.89941e10i 0.289238 − 0.362693i
\(322\) −3.72069e11 + 1.39640e11i −1.92873 + 0.723866i
\(323\) 2.65470e10 − 1.16310e11i 0.135707 − 0.594573i
\(324\) −6.61192e11 + 1.19989e11i −3.33330 + 0.604906i
\(325\) 4.52481e11 + 2.17903e11i 2.24970 + 1.08340i
\(326\) 5.25480e10 − 3.13960e10i 0.257678 − 0.153955i
\(327\) −1.98975e11 − 7.46765e10i −0.962351 − 0.361176i
\(328\) 2.12568e11 − 3.22027e11i 1.01407 − 1.53624i
\(329\) 3.78656e11 − 1.82351e11i 1.78182 − 0.858077i
\(330\) −1.35777e11 + 9.86476e10i −0.630250 + 0.457904i
\(331\) −1.98967e11 + 1.73832e11i −0.911076 + 0.795983i −0.979452 − 0.201676i \(-0.935361\pi\)
0.0683760 + 0.997660i \(0.478218\pi\)
\(332\) −7.01838e11 − 8.80077e11i −3.17041 − 3.97557i
\(333\) −8.14362e10 − 4.86559e10i −0.362927 − 0.216838i
\(334\) 9.39487e10 + 1.42326e11i 0.413078 + 0.625786i
\(335\) 1.01601e11 + 4.45143e11i 0.440754 + 1.93107i
\(336\) 6.43967e11 + 1.50664e12i 2.75636 + 6.44884i
\(337\) −2.84528e11 + 2.56080e10i −1.20169 + 0.108154i −0.672333 − 0.740249i \(-0.734708\pi\)
−0.529352 + 0.848402i \(0.677565\pi\)
\(338\) −3.06082e11 − 2.22382e11i −1.27559 − 0.926774i
\(339\) −3.16132e11 − 5.73695e10i −1.30008 − 0.235930i
\(340\) 4.61165e11 − 1.07895e12i 1.87155 − 4.37871i
\(341\) 1.88058e10 − 5.78784e10i 0.0753179 − 0.231805i
\(342\) 7.11420e10 + 1.32204e11i 0.281196 + 0.522549i
\(343\) −1.19473e11 − 1.24959e11i −0.466064 − 0.487464i
\(344\) −4.70987e11 + 8.75240e11i −1.81341 + 3.36988i
\(345\) −3.62705e11 + 1.00100e11i −1.37837 + 0.380407i
\(346\) 9.02502e10 + 6.66254e11i 0.338537 + 2.49918i
\(347\) 1.42568e10 − 1.05248e11i 0.0527885 − 0.389700i −0.945210 − 0.326463i \(-0.894143\pi\)
0.997999 − 0.0632375i \(-0.0201426\pi\)
\(348\) 8.02643e11 + 2.21515e11i 2.93370 + 0.809650i
\(349\) 2.50179e10 − 2.61666e10i 0.0902684 − 0.0944134i −0.676117 − 0.736794i \(-0.736339\pi\)
0.766386 + 0.642380i \(0.222053\pi\)
\(350\) 4.82676e11 + 1.48552e12i 1.71929 + 5.29143i
\(351\) 2.23940e11 + 2.01549e10i 0.787497 + 0.0708760i
\(352\) −1.56336e11 − 1.36587e11i −0.542772 − 0.474206i
\(353\) −1.68326e9 + 3.74806e10i −0.00576984 + 0.128476i 0.994041 + 0.109010i \(0.0347680\pi\)
−0.999811 + 0.0194658i \(0.993803\pi\)
\(354\) 2.24996e11 0.761482
\(355\) −8.26621e10 − 4.98527e11i −0.276235 − 1.66595i
\(356\) 4.07468e11 1.34452
\(357\) −2.75808e10 + 6.14135e11i −0.0898670 + 2.00105i
\(358\) 2.37398e11 + 2.07408e11i 0.763842 + 0.667349i
\(359\) 4.32344e11 + 3.89117e10i 1.37374 + 0.123639i 0.751782 − 0.659412i \(-0.229195\pi\)
0.621958 + 0.783051i \(0.286337\pi\)
\(360\) 2.88016e11 + 8.86423e11i 0.903766 + 2.78150i
\(361\) 1.46306e11 − 1.53024e11i 0.453397 − 0.474216i
\(362\) 5.66974e11 + 1.56475e11i 1.73530 + 0.478912i
\(363\) 5.27795e10 − 3.89634e11i 0.159546 − 1.17782i
\(364\) −2.56392e11 − 1.89276e12i −0.765506 − 5.65119i
\(365\) 8.91696e10 − 2.46092e10i 0.262966 − 0.0725739i
\(366\) 5.03335e11 − 9.35353e11i 1.46620 − 2.72465i
\(367\) 1.21516e11 + 1.27096e11i 0.349652 + 0.365708i 0.874109 − 0.485729i \(-0.161446\pi\)
−0.524457 + 0.851437i \(0.675732\pi\)
\(368\) −4.16190e11 − 7.73411e11i −1.18298 − 2.19834i
\(369\) −3.22677e10 + 9.93096e10i −0.0906043 + 0.278851i
\(370\) 3.71036e11 − 8.68082e11i 1.02922 − 2.40798i
\(371\) 3.10083e11 + 5.62717e10i 0.849757 + 0.154208i
\(372\) −1.25791e12 − 9.13922e11i −3.40569 − 2.47438i
\(373\) −1.52885e11 + 1.37599e10i −0.408955 + 0.0368066i −0.292207 − 0.956355i \(-0.594390\pi\)
−0.116748 + 0.993162i \(0.537247\pi\)
\(374\) −5.77680e10 − 1.35155e11i −0.152674 − 0.357198i
\(375\) 1.51360e11 + 6.63151e11i 0.395249 + 1.73170i
\(376\) 8.92740e11 + 1.35244e12i 2.30346 + 3.48959i
\(377\) −4.12633e11 − 2.46537e11i −1.05203 − 0.628558i
\(378\) 4.36009e11 + 5.46738e11i 1.09845 + 1.37742i
\(379\) 2.72702e11 − 2.38252e11i 0.678908 − 0.593144i −0.247852 − 0.968798i \(-0.579725\pi\)
0.926760 + 0.375654i \(0.122582\pi\)
\(380\) −8.83043e11 + 6.41568e11i −2.17248 + 1.57840i
\(381\) −6.21222e11 + 2.99165e11i −1.51037 + 0.727358i
\(382\) −2.95146e11 + 4.47126e11i −0.709171 + 1.07435i
\(383\) 2.35812e11 + 8.85016e10i 0.559978 + 0.210163i 0.615283 − 0.788306i \(-0.289042\pi\)
−0.0553053 + 0.998469i \(0.517613\pi\)
\(384\) −1.38451e12 + 8.27208e11i −3.24942 + 1.94144i
\(385\) 1.98341e11 + 9.55158e10i 0.460085 + 0.221565i
\(386\) −1.11414e11 + 2.02187e10i −0.255445 + 0.0463564i
\(387\) 5.98520e10 − 2.62229e11i 0.135637 − 0.594266i
\(388\) 5.90696e11 − 2.21692e11i 1.32319 − 0.496600i
\(389\) 4.60215e11 − 5.77092e11i 1.01903 − 1.27783i 0.0589050 − 0.998264i \(-0.481239\pi\)
0.960127 − 0.279563i \(-0.0901895\pi\)
\(390\) −1.11056e11 − 2.47285e12i −0.243081 − 5.41261i
\(391\) −1.47842e10 − 3.29196e11i −0.0319891 − 0.712293i
\(392\) 1.37678e12 − 1.72642e12i 2.94494 − 3.69284i
\(393\) −7.85555e11 + 2.94824e11i −1.66115 + 0.623442i
\(394\) −1.05402e11 + 4.61796e11i −0.220351 + 0.965421i
\(395\) 8.07103e11 − 1.46468e11i 1.66818 − 0.302729i
\(396\) 1.21749e11 + 5.86311e10i 0.248792 + 0.119812i
\(397\) −1.84461e11 + 1.10210e11i −0.372689 + 0.222671i −0.687014 − 0.726644i \(-0.741079\pi\)
0.314325 + 0.949315i \(0.398222\pi\)
\(398\) −1.41525e12 − 5.31150e11i −2.82721 − 1.06107i
\(399\) 3.15036e11 − 4.77259e11i 0.622274 − 0.942705i
\(400\) −3.11012e12 + 1.49776e12i −6.07446 + 2.92531i
\(401\) 7.13635e10 − 5.18486e10i 0.137824 − 0.100135i −0.516737 − 0.856144i \(-0.672853\pi\)
0.654561 + 0.756009i \(0.272853\pi\)
\(402\) 1.10046e12 − 9.61443e11i 2.10163 − 1.83614i
\(403\) 5.59638e11 + 7.01764e11i 1.05690 + 1.32531i
\(404\) −7.58658e11 − 4.53277e11i −1.41687 − 0.846540i
\(405\) 6.29300e11 + 9.53349e11i 1.16228 + 1.76078i
\(406\) −3.32662e11 − 1.45749e12i −0.607625 − 2.66218i
\(407\) −3.39555e10 − 7.94429e10i −0.0613389 − 0.143509i
\(408\) −2.36086e12 + 2.12481e11i −4.21793 + 0.379620i
\(409\) −9.86846e10 − 7.16985e10i −0.174379 − 0.126694i 0.497172 − 0.867652i \(-0.334372\pi\)
−0.671551 + 0.740958i \(0.734372\pi\)
\(410\) −1.02245e12 − 1.85547e11i −1.78696 − 0.324285i
\(411\) −2.52246e11 + 5.90158e11i −0.436049 + 1.02019i
\(412\) 5.70916e11 − 1.75710e12i 0.976191 − 3.00441i
\(413\) −1.39851e11 − 2.59887e11i −0.236532 − 0.439551i
\(414\) 2.86572e11 + 2.99730e11i 0.479437 + 0.501452i
\(415\) −9.06754e11 + 1.68503e12i −1.50063 + 2.78863i
\(416\) 2.95156e12 − 8.14578e11i 4.83205 − 1.33356i
\(417\) 1.52967e11 + 1.12925e12i 0.247733 + 1.82884i
\(418\) −1.83533e10 + 1.35490e11i −0.0294051 + 0.217077i
\(419\) 9.80185e11 + 2.70514e11i 1.55362 + 0.428772i 0.934336 − 0.356394i \(-0.115994\pi\)
0.619285 + 0.785166i \(0.287423\pi\)
\(420\) 3.88686e12 − 4.06534e12i 6.09505 − 6.37492i
\(421\) −8.51880e10 − 2.62182e11i −0.132163 − 0.406755i 0.862975 − 0.505246i \(-0.168598\pi\)
−0.995138 + 0.0984912i \(0.968598\pi\)
\(422\) −4.67690e11 − 4.20928e10i −0.717880 − 0.0646104i
\(423\) −3.30254e11 − 2.88534e11i −0.501552 − 0.438193i
\(424\) −5.45180e10 + 1.21394e12i −0.0819206 + 1.82410i
\(425\) −1.29517e12 −1.92564
\(426\) −1.27964e12 + 9.89030e11i −1.88254 + 1.45501i
\(427\) −1.39326e12 −2.02818
\(428\) 3.17237e10 − 7.06384e11i 0.0456970 − 1.01752i
\(429\) −1.70595e11 − 1.49044e11i −0.243169 − 0.212450i
\(430\) 2.66593e12 + 2.39938e11i 3.76046 + 0.338447i
\(431\) −1.55926e10 − 4.79892e10i −0.0217657 − 0.0669878i 0.939584 − 0.342319i \(-0.111212\pi\)
−0.961349 + 0.275331i \(0.911212\pi\)
\(432\) −1.06802e12 + 1.11706e12i −1.47537 + 1.54312i
\(433\) −1.42115e11 − 3.92214e10i −0.194288 − 0.0536200i 0.167539 − 0.985866i \(-0.446418\pi\)
−0.361826 + 0.932245i \(0.617847\pi\)
\(434\) −3.74732e11 + 2.76638e12i −0.507011 + 3.74290i
\(435\) −1.89997e11 − 1.40261e12i −0.254416 − 1.87817i
\(436\) −1.64155e12 + 4.53038e11i −2.17552 + 0.600407i
\(437\) −1.45257e11 + 2.69933e11i −0.190534 + 0.354071i
\(438\) −2.04590e11 − 2.13985e11i −0.265614 − 0.277811i
\(439\) 2.18068e11 + 4.05238e11i 0.280221 + 0.520738i 0.981334 − 0.192312i \(-0.0615987\pi\)
−0.701113 + 0.713051i \(0.747313\pi\)
\(440\) −2.62304e11 + 8.07287e11i −0.333632 + 1.02681i
\(441\) −2.34861e11 + 5.49485e11i −0.295691 + 0.691803i
\(442\) 2.13304e12 + 3.87089e11i 2.65826 + 0.482404i
\(443\) −5.45499e11 − 3.96328e11i −0.672941 − 0.488920i 0.198067 − 0.980188i \(-0.436534\pi\)
−0.871008 + 0.491268i \(0.836534\pi\)
\(444\) −2.19846e12 + 1.97865e11i −2.68470 + 0.241627i
\(445\) −2.72231e11 − 6.36916e11i −0.329092 − 0.769949i
\(446\) 1.73184e11 + 7.58769e11i 0.207253 + 0.908035i
\(447\) −1.72968e11 − 2.62036e11i −0.204919 − 0.310439i
\(448\) 4.01863e12 + 2.40102e12i 4.71332 + 2.81608i
\(449\) −6.81055e10 − 8.54016e10i −0.0790813 − 0.0991648i 0.740717 − 0.671817i \(-0.234486\pi\)
−0.819798 + 0.572652i \(0.805915\pi\)
\(450\) 1.22740e12 − 1.07235e12i 1.41101 − 1.23276i
\(451\) −7.69360e10 + 5.58973e10i −0.0875660 + 0.0636204i
\(452\) −2.31950e12 + 1.11701e12i −2.61379 + 1.25873i
\(453\) 2.67355e11 − 4.05025e11i 0.298295 − 0.451898i
\(454\) 5.94737e11 + 2.23209e11i 0.657013 + 0.246581i
\(455\) −2.78730e12 + 1.66533e12i −3.04882 + 1.82159i
\(456\) 1.98664e12 + 9.56716e11i 2.15168 + 1.03619i
\(457\) 1.07432e12 − 1.94961e11i 1.15216 − 0.209086i 0.431327 − 0.902196i \(-0.358045\pi\)
0.720832 + 0.693109i \(0.243760\pi\)
\(458\) 6.32434e11 − 2.77088e12i 0.671615 − 2.94254i
\(459\) −5.42880e11 + 2.03746e11i −0.570882 + 0.214256i
\(460\) −1.87976e12 + 2.35714e12i −1.95745 + 2.45457i
\(461\) −1.86773e10 − 4.15883e11i −0.0192602 − 0.428862i −0.985338 − 0.170612i \(-0.945426\pi\)
0.966078 − 0.258250i \(-0.0831458\pi\)
\(462\) −3.16096e10 − 7.03842e11i −0.0322797 − 0.718764i
\(463\) 6.15691e11 − 7.72052e11i 0.622656 − 0.780786i −0.366059 − 0.930592i \(-0.619293\pi\)
0.988716 + 0.149805i \(0.0478647\pi\)
\(464\) 3.09323e12 − 1.16091e12i 3.09800 − 1.16270i
\(465\) −5.88146e11 + 2.57684e12i −0.583374 + 2.55593i
\(466\) −1.28911e12 + 2.33938e11i −1.26635 + 0.229808i
\(467\) −4.84986e11 − 2.33557e11i −0.471850 − 0.227231i 0.182819 − 0.983147i \(-0.441478\pi\)
−0.654669 + 0.755916i \(0.727192\pi\)
\(468\) −1.71095e12 + 1.02224e12i −1.64866 + 0.985026i
\(469\) −1.79455e12 − 6.73507e11i −1.71269 − 0.642783i
\(470\) 2.40422e12 − 3.64224e12i 2.27266 − 3.44293i
\(471\) 8.58638e11 − 4.13498e11i 0.803926 − 0.387150i
\(472\) 9.20632e11 − 6.68878e11i 0.853782 − 0.620309i
\(473\) 1.84472e11 − 1.61169e11i 0.169456 − 0.148049i
\(474\) −1.63684e12 − 2.05253e12i −1.48937 − 1.86761i
\(475\) 1.03426e12 + 6.17940e11i 0.932196 + 0.556961i
\(476\) 2.71363e12 + 4.11098e12i 2.42281 + 3.67040i
\(477\) −7.31748e10 − 3.20600e11i −0.0647185 − 0.283550i
\(478\) −3.06429e11 − 7.16925e11i −0.268475 − 0.628128i
\(479\) 1.11698e12 − 1.00530e11i 0.969472 − 0.0872541i 0.406430 − 0.913682i \(-0.366774\pi\)
0.563043 + 0.826428i \(0.309631\pi\)
\(480\) 7.29433e12 + 5.29964e12i 6.27191 + 4.55681i
\(481\) 1.25378e12 + 2.27528e11i 1.06799 + 0.193812i
\(482\) −7.21776e11 + 1.68868e12i −0.609103 + 1.42507i
\(483\) 4.88112e11 − 1.50226e12i 0.408092 − 1.25598i
\(484\) −1.49294e12 − 2.77435e12i −1.23663 − 2.29804i
\(485\) −7.41174e11 − 7.75208e11i −0.608251 − 0.636180i
\(486\) 1.07409e12 − 1.99599e12i 0.873326 − 1.62291i
\(487\) −8.26271e11 + 2.28036e11i −0.665644 + 0.183706i −0.582499 − 0.812831i \(-0.697925\pi\)
−0.0831452 + 0.996537i \(0.526497\pi\)
\(488\) −7.21129e11 − 5.32359e12i −0.575604 − 4.24928i
\(489\) −3.26588e10 + 2.41097e11i −0.0258292 + 0.190679i
\(490\) −5.73250e12 − 1.58207e12i −4.49223 − 1.23978i
\(491\) 3.52493e11 − 3.68679e11i 0.273706 − 0.286274i −0.571627 − 0.820513i \(-0.693688\pi\)
0.845333 + 0.534239i \(0.179402\pi\)
\(492\) 7.50818e11 + 2.31078e12i 0.577686 + 1.77793i
\(493\) 1.23462e12 + 1.11118e11i 0.941287 + 0.0847173i
\(494\) −1.51865e12 − 1.32681e12i −1.14733 − 1.00239i
\(495\) 1.03059e10 − 2.29478e11i 0.00771545 − 0.171798i
\(496\) −6.16958e12 −4.57707
\(497\) 1.93779e12 + 8.63322e11i 1.42463 + 0.634701i
\(498\) 6.12410e12 4.46180
\(499\) −1.46037e10 + 3.25178e11i −0.0105442 + 0.234784i 0.986800 + 0.161946i \(0.0517770\pi\)
−0.997344 + 0.0728379i \(0.976794\pi\)
\(500\) 4.10446e12 + 3.58596e12i 2.93691 + 2.56590i
\(501\) −6.75099e11 − 6.07600e10i −0.478737 − 0.0430871i
\(502\) 1.46130e12 + 4.49741e12i 1.02700 + 3.16079i
\(503\) 8.48787e11 − 8.87761e11i 0.591211 − 0.618358i −0.357725 − 0.933827i \(-0.616447\pi\)
0.948936 + 0.315469i \(0.102162\pi\)
\(504\) −3.77172e12 − 1.04093e12i −2.60377 − 0.718594i
\(505\) −2.01658e11 + 1.48870e12i −0.137976 + 1.01858i
\(506\) 5.06948e10 + 3.74244e11i 0.0343784 + 0.253792i
\(507\) 1.44957e12 − 4.00056e11i 0.974324 − 0.268896i
\(508\) −2.61803e12 + 4.86511e12i −1.74417 + 3.24120i
\(509\) 1.05180e12 + 1.10010e12i 0.694550 + 0.726442i 0.972177 − 0.234247i \(-0.0752623\pi\)
−0.277627 + 0.960689i \(0.589548\pi\)
\(510\) 3.02503e12 + 5.62144e12i 1.97999 + 3.67944i
\(511\) −1.20001e11 + 3.69324e11i −0.0778555 + 0.239615i
\(512\) −9.34208e11 + 2.18569e12i −0.600798 + 1.40564i
\(513\) 5.30726e11 + 9.63127e10i 0.338332 + 0.0613981i
\(514\) −1.85968e12 − 1.35114e12i −1.17518 − 0.853817i
\(515\) −3.12797e12 + 2.81522e11i −1.95943 + 0.176352i
\(516\) −2.45977e12 − 5.75492e12i −1.52747 − 3.57368i
\(517\) −8.88730e10 − 3.89378e11i −0.0547094 − 0.239698i
\(518\) 2.18329e12 + 3.30754e12i 1.33238 + 2.01846i
\(519\) −2.29404e12 − 1.37063e12i −1.38787 − 0.829212i
\(520\) −7.80582e12 − 9.78819e12i −4.68170 − 5.87066i
\(521\) 1.80450e12 − 1.57654e12i 1.07297 − 0.937423i 0.0747553 − 0.997202i \(-0.476182\pi\)
0.998212 + 0.0597789i \(0.0190396\pi\)
\(522\) −1.26202e12 + 9.16912e11i −0.743960 + 0.540518i
\(523\) 2.08169e12 − 1.00249e12i 1.21663 − 0.585899i 0.288260 − 0.957552i \(-0.406923\pi\)
0.928372 + 0.371653i \(0.121209\pi\)
\(524\) −3.70375e12 + 5.61094e12i −2.14610 + 3.25121i
\(525\) −5.81241e12 − 2.18144e12i −3.33918 − 1.25321i
\(526\) −3.67998e12 + 2.19869e12i −2.09609 + 1.25235i
\(527\) −2.08556e12 − 1.00435e12i −1.17781 − 0.567204i
\(528\) 1.53204e12 − 2.78025e11i 0.857865 − 0.155679i
\(529\) 2.12386e11 − 9.30526e11i 0.117917 − 0.516628i
\(530\) 3.06385e12 − 1.14988e12i 1.68666 − 0.633013i
\(531\) −1.92006e11 + 2.40768e11i −0.104807 + 0.131423i
\(532\) −2.05577e11 − 4.57753e12i −0.111269 − 2.47759i
\(533\) −6.29282e10 − 1.40121e12i −0.0337733 − 0.752020i
\(534\) −1.38216e12 + 1.73317e12i −0.735566 + 0.922371i
\(535\) −1.12535e12 + 4.22350e11i −0.593875 + 0.222885i
\(536\) 1.64461e12 − 7.20550e12i 0.860639 − 3.77071i
\(537\) −1.23283e12 + 2.23726e11i −0.639763 + 0.116100i
\(538\) −5.80347e12 − 2.79480e12i −2.98653 − 1.43824i
\(539\) −4.67189e11 + 2.79133e11i −0.238420 + 0.142450i
\(540\) 4.96688e12 + 1.86410e12i 2.51369 + 0.943404i
\(541\) 1.37988e12 − 2.09042e12i 0.692552 − 1.04917i −0.302818 − 0.953049i \(-0.597927\pi\)
0.995369 − 0.0961228i \(-0.0306441\pi\)
\(542\) 3.43026e12 − 1.65193e12i 1.70738 − 0.822231i
\(543\) −1.89129e12 + 1.37411e12i −0.933598 + 0.678298i
\(544\) −5.94652e12 + 5.19532e12i −2.91117 + 2.54341i
\(545\) 1.80487e12 + 2.26324e12i 0.876319 + 1.09887i
\(546\) 8.92060e12 + 5.32981e12i 4.29563 + 2.56652i
\(547\) −7.94599e11 − 1.20377e12i −0.379494 − 0.574909i 0.593759 − 0.804643i \(-0.297643\pi\)
−0.973254 + 0.229734i \(0.926215\pi\)
\(548\) 1.14434e12 + 5.01366e12i 0.542052 + 2.37489i
\(549\) 5.71387e11 + 1.33683e12i 0.268445 + 0.628057i
\(550\) 1.47838e12 − 1.33056e11i 0.688895 − 0.0620017i
\(551\) −9.32890e11 − 6.77785e11i −0.431170 − 0.313263i
\(552\) 5.99269e12 + 1.08751e12i 2.74723 + 0.498550i
\(553\) −1.35341e12 + 3.16646e12i −0.615413 + 1.43983i
\(554\) −9.68661e11 + 2.98123e12i −0.436896 + 1.34463i
\(555\) 1.77809e12 + 3.30424e12i 0.795489 + 1.47827i
\(556\) 6.31006e12 + 6.59981e12i 2.80025 + 2.92883i
\(557\) 4.55067e11 − 8.45656e11i 0.200321 − 0.372259i −0.760539 − 0.649292i \(-0.775065\pi\)
0.960860 + 0.277033i \(0.0893511\pi\)
\(558\) 2.80801e12 − 7.74960e11i 1.22615 − 0.338396i
\(559\) 4.84978e11 + 3.58025e12i 0.210072 + 1.55082i
\(560\) 2.99576e12 − 2.21156e13i 1.28724 − 9.50281i
\(561\) 5.63152e11 + 1.55420e11i 0.240045 + 0.0662482i
\(562\) 1.72632e11 − 1.80559e11i 0.0729976 − 0.0763495i
\(563\) −2.11089e11 − 6.49665e11i −0.0885479 − 0.272522i 0.896971 − 0.442090i \(-0.145763\pi\)
−0.985519 + 0.169568i \(0.945763\pi\)
\(564\) −1.01631e13 − 9.14697e11i −4.22932 − 0.380646i
\(565\) 3.29567e12 + 2.87934e12i 1.36059 + 1.18871i
\(566\) 1.52721e11 − 3.40059e12i 0.0625495 − 1.39277i
\(567\) −4.79548e12 −1.94854
\(568\) −2.29574e12 + 7.85105e12i −0.925457 + 3.16490i
\(569\) 2.61444e12 1.04562 0.522810 − 0.852449i \(-0.324884\pi\)
0.522810 + 0.852449i \(0.324884\pi\)
\(570\) 2.66419e11 − 5.93228e12i 0.105713 − 2.35388i
\(571\) −2.72107e11 − 2.37732e11i −0.107121 − 0.0935892i 0.602712 − 0.797959i \(-0.294087\pi\)
−0.709833 + 0.704370i \(0.751230\pi\)
\(572\) −1.80783e12 − 1.62707e11i −0.706114 − 0.0635514i
\(573\) −6.58032e11 − 2.02521e12i −0.255006 − 0.784829i
\(574\) 3.01467e12 − 3.15310e12i 1.15914 − 1.21237i
\(575\) 3.20791e12 + 8.85327e11i 1.22382 + 0.337752i
\(576\) 6.55694e11 − 4.84052e12i 0.248199 − 1.83228i
\(577\) −6.68786e11 − 4.93718e12i −0.251186 − 1.85433i −0.475370 − 0.879786i \(-0.657686\pi\)
0.224184 − 0.974547i \(-0.428028\pi\)
\(578\) −4.06000e11 + 1.12049e11i −0.151304 + 0.0417573i
\(579\) 2.13271e11 − 3.96324e11i 0.0788640 − 0.146554i
\(580\) −7.83759e12 − 8.19748e12i −2.87579 − 3.00784i
\(581\) −3.80657e12 − 7.07379e12i −1.38593 − 2.57549i
\(582\) −1.06071e12 + 3.26453e12i −0.383215 + 1.17942i
\(583\) 1.17706e11 − 2.75386e11i 0.0421978 − 0.0987265i
\(584\) −1.47328e12 − 2.67361e11i −0.524116 − 0.0951131i
\(585\) 2.74097e12 + 1.99143e12i 0.967614 + 0.703013i
\(586\) 9.54058e12 − 8.58668e11i 3.34222 − 0.300806i
\(587\) 1.19152e12 + 2.78769e12i 0.414218 + 0.969111i 0.988606 + 0.150528i \(0.0480974\pi\)
−0.574388 + 0.818583i \(0.694760\pi\)
\(588\) 3.09406e12 + 1.35560e13i 1.06741 + 4.67663i
\(589\) 1.18624e12 + 1.79707e12i 0.406119 + 0.615244i
\(590\) −2.63083e12 − 1.57185e12i −0.893836 − 0.534042i
\(591\) −1.17383e12 − 1.47194e12i −0.395787 − 0.496301i
\(592\) −6.59586e12 + 5.76263e12i −2.20711 + 1.92829i
\(593\) −3.48044e12 + 2.52869e12i −1.15581 + 0.839749i −0.989243 − 0.146281i \(-0.953270\pi\)
−0.166572 + 0.986029i \(0.553270\pi\)
\(594\) 5.98742e11 − 2.88339e11i 0.197333 − 0.0950308i
\(595\) 4.61291e12 − 6.98826e12i 1.50886 − 2.28582i
\(596\) −2.35537e12 − 8.83987e11i −0.764631 − 0.286971i
\(597\) 5.15774e12 − 3.08161e12i 1.66179 − 0.992872i
\(598\) −5.01857e12 − 2.41682e12i −1.60481 − 0.772838i
\(599\) −5.34956e11 + 9.70801e10i −0.169784 + 0.0308113i −0.262783 − 0.964855i \(-0.584640\pi\)
0.0929990 + 0.995666i \(0.470355\pi\)
\(600\) 5.32676e12 − 2.33380e13i 1.67796 − 7.35163i
\(601\) 4.78971e12 − 1.79761e12i 1.49752 − 0.562030i 0.537824 − 0.843057i \(-0.319247\pi\)
0.959700 + 0.281027i \(0.0906751\pi\)
\(602\) −7.00607e12 + 8.78533e12i −2.17415 + 2.72630i
\(603\) 8.97335e10 + 1.99807e12i 0.0276393 + 0.615437i
\(604\) −1.74463e11 − 3.88472e12i −0.0533380 − 1.18766i
\(605\) −3.33917e12 + 4.18718e12i −1.01330 + 1.27064i
\(606\) 4.50144e12 − 1.68942e12i 1.35589 − 0.508874i
\(607\) 8.05874e10 − 3.53077e11i 0.0240945 − 0.105565i −0.961451 − 0.274977i \(-0.911330\pi\)
0.985545 + 0.169412i \(0.0541869\pi\)
\(608\) 7.22734e12 − 1.31157e12i 2.14493 − 0.389247i
\(609\) 5.35353e12 + 2.57812e12i 1.57711 + 0.759497i
\(610\) −1.24199e13 + 7.42053e12i −3.63189 + 2.16995i
\(611\) 5.51507e12 + 2.06984e12i 1.60090 + 0.600829i
\(612\) 2.83157e12 − 4.28965e12i 0.815918 − 1.23606i
\(613\) −4.68669e12 + 2.25699e12i −1.34059 + 0.645592i −0.960220 − 0.279244i \(-0.909916\pi\)
−0.380365 + 0.924836i \(0.624202\pi\)
\(614\) 1.29228e12 − 9.38894e11i 0.366942 − 0.266599i
\(615\) 3.11037e12 − 2.71745e12i 0.876747 − 0.765991i
\(616\) −2.22175e12 − 2.78599e12i −0.621702 − 0.779590i
\(617\) −4.33021e12 − 2.58718e12i −1.20289 − 0.718693i −0.235472 − 0.971881i \(-0.575664\pi\)
−0.967417 + 0.253188i \(0.918521\pi\)
\(618\) 5.53727e12 + 8.38860e12i 1.52703 + 2.31335i
\(619\) 1.16407e12 + 5.10011e12i 0.318691 + 1.39628i 0.839850 + 0.542818i \(0.182643\pi\)
−0.521159 + 0.853460i \(0.674500\pi\)
\(620\) 8.32365e12 + 1.94742e13i 2.26231 + 5.29293i
\(621\) 1.48389e12 − 1.33553e11i 0.400397 − 0.0360364i
\(622\) 4.35295e12 + 3.16260e12i 1.16608 + 0.847203i
\(623\) 2.86105e12 + 5.19204e11i 0.760904 + 0.138084i
\(624\) −9.02599e12 + 2.11174e13i −2.38322 + 5.57582i
\(625\) 6.80247e11 − 2.09358e12i 0.178323 − 0.548821i
\(626\) −4.65787e12 − 8.65577e12i −1.21228 − 2.25279i
\(627\) −3.75553e11 − 3.92797e11i −0.0970436 − 0.101500i
\(628\) 3.61857e12 − 6.72444e12i 0.928366 − 1.72519i
\(629\) −3.16777e12 + 8.74249e11i −0.806912 + 0.222693i
\(630\) 1.41445e12 + 1.04419e13i 0.357731 + 2.64088i
\(631\) −8.12770e11 + 6.00011e12i −0.204096 + 1.50670i 0.541726 + 0.840555i \(0.317771\pi\)
−0.745822 + 0.666145i \(0.767943\pi\)
\(632\) −1.27994e13 − 3.53241e12i −3.19127 − 0.880734i
\(633\) 1.28981e12 − 1.34904e12i 0.319307 − 0.333969i
\(634\) −2.23674e12 − 6.88398e12i −0.549811 − 1.69215i
\(635\) 9.35382e12 + 8.41859e11i 2.28301 + 0.205474i
\(636\) −5.76227e12 − 5.03435e12i −1.39649 − 1.22007i
\(637\) 3.60124e11 − 8.01878e12i 0.0866611 − 1.92966i
\(638\) −1.42068e12 −0.339471
\(639\) 3.36501e10 − 2.21335e12i 0.00798421 − 0.525166i
\(640\) 2.19678e13 5.17578
\(641\) −9.08024e10 + 2.02187e12i −0.0212440 + 0.473034i 0.959969 + 0.280106i \(0.0903698\pi\)
−0.981213 + 0.192928i \(0.938202\pi\)
\(642\) 2.89701e12 + 2.53104e12i 0.673041 + 0.588018i
\(643\) 5.06874e12 + 4.56195e11i 1.16937 + 0.105245i 0.657251 − 0.753672i \(-0.271719\pi\)
0.512115 + 0.858917i \(0.328862\pi\)
\(644\) −3.91110e12 − 1.20371e13i −0.896009 − 2.75763i
\(645\) −7.35218e12 + 7.68978e12i −1.67262 + 1.74942i
\(646\) 5.01324e12 + 1.38357e12i 1.13259 + 0.312575i
\(647\) 3.02295e11 − 2.23163e12i 0.0678207 − 0.500672i −0.924898 − 0.380216i \(-0.875850\pi\)
0.992719 − 0.120457i \(-0.0384359\pi\)
\(648\) −2.48206e12 − 1.83233e13i −0.553000 − 4.08241i
\(649\) −2.70354e11 + 7.46129e10i −0.0598179 + 0.0165087i
\(650\) −1.03744e13 + 1.92788e13i −2.27957 + 4.23615i
\(651\) −7.66790e12 − 8.02000e12i −1.67325 − 1.75009i
\(652\) 9.23799e11 + 1.71671e12i 0.200200 + 0.372033i
\(653\) −1.68284e12 + 5.17925e12i −0.362188 + 1.11470i 0.589536 + 0.807742i \(0.299311\pi\)
−0.951723 + 0.306957i \(0.900689\pi\)
\(654\) 3.64123e12 − 8.51908e12i 0.778302 − 1.82093i
\(655\) 1.12450e13 + 2.04067e12i 2.38711 + 0.433197i
\(656\) 7.79964e12 + 5.66677e12i 1.64440 + 1.19473i
\(657\) 4.03577e11 − 3.63226e10i 0.0845049 − 0.00760558i
\(658\) 7.20061e12 + 1.68467e13i 1.49745 + 3.50346i
\(659\) −6.08329e10 − 2.66527e11i −0.0125648 − 0.0550498i 0.968257 − 0.249957i \(-0.0804165\pi\)
−0.980822 + 0.194907i \(0.937559\pi\)
\(660\) −2.94453e12 − 4.46077e12i −0.604044 − 0.915087i
\(661\) −1.94933e12 − 1.16467e12i −0.397173 − 0.237300i 0.300400 − 0.953813i \(-0.402880\pi\)
−0.697573 + 0.716513i \(0.745737\pi\)
\(662\) −7.18105e12 − 9.00476e12i −1.45321 − 1.82226i
\(663\) −6.48887e12 + 5.66915e12i −1.30424 + 1.13948i
\(664\) 2.50584e13 − 1.82060e13i 5.00262 − 3.63462i
\(665\) −7.01783e12 + 3.37961e12i −1.39157 + 0.670145i
\(666\) 2.27818e12 − 3.45130e12i 0.448698 − 0.679748i
\(667\) −2.98199e12 − 1.11916e12i −0.583364 − 0.218940i
\(668\) −4.66243e12 + 2.78567e12i −0.905980 + 0.541298i
\(669\) −2.78705e12 − 1.34217e12i −0.537932 − 0.259055i
\(670\) −1.95842e13 + 3.55400e12i −3.75464 + 0.681367i
\(671\) −2.94624e11 + 1.29083e12i −0.0561069 + 0.245821i
\(672\) −3.54370e13 + 1.32997e13i −6.70340 + 2.51583i
\(673\) 3.85535e12 − 4.83446e12i 0.724430 − 0.908406i −0.274150 − 0.961687i \(-0.588396\pi\)
0.998580 + 0.0532808i \(0.0169678\pi\)
\(674\) −5.58724e11 − 1.24410e13i −0.104286 − 2.32212i
\(675\) −2.62721e11 − 5.84994e12i −0.0487111 − 1.08464i
\(676\) 7.51255e12 − 9.42044e12i 1.38365 − 1.73505i
\(677\) −2.35519e12 + 8.83918e11i −0.430901 + 0.161720i −0.557395 − 0.830248i \(-0.688199\pi\)
0.126494 + 0.991967i \(0.459628\pi\)
\(678\) 3.11666e12 − 1.36550e13i 0.566443 − 2.48175i
\(679\) 4.43008e12 − 8.03941e11i 0.799830 − 0.145148i
\(680\) 2.90894e13 + 1.40087e13i 5.21729 + 2.51251i
\(681\) −2.16747e12 + 1.29500e12i −0.386181 + 0.230732i
\(682\) 2.48376e12 + 9.32171e11i 0.439622 + 0.164993i
\(683\) −5.08424e12 + 7.70229e12i −0.893990 + 1.35434i 0.0408113 + 0.999167i \(0.487006\pi\)
−0.934802 + 0.355171i \(0.884423\pi\)
\(684\) −4.30780e12 + 2.07453e12i −0.752494 + 0.362382i
\(685\) 7.07236e12 − 5.13837e12i 1.22732 − 0.891698i
\(686\) 5.67547e12 − 4.95851e12i 0.978461 − 0.854855i
\(687\) 7.04324e12 + 8.83194e12i 1.20633 + 1.51269i
\(688\) −2.13184e13 − 1.27371e13i −3.62749 − 2.16732i
\(689\) 2.43341e12 + 3.68646e12i 0.411366 + 0.623193i
\(690\) −3.64987e12 − 1.59911e13i −0.612995 − 2.68571i
\(691\) −1.88779e12 − 4.41671e12i −0.314995 − 0.736967i −0.999965 − 0.00839565i \(-0.997328\pi\)
0.684970 − 0.728571i \(-0.259815\pi\)
\(692\) −2.13262e13 + 1.91940e12i −3.53538 + 0.318190i
\(693\) 7.80155e11 + 5.66816e11i 0.128494 + 0.0933560i
\(694\) 4.55554e12 + 8.26709e11i 0.745457 + 0.135281i
\(695\) 6.10043e12 − 1.42727e13i 0.991811 − 2.32046i
\(696\) −7.08000e12 + 2.17900e13i −1.14365 + 3.51978i
\(697\) 1.71409e12 + 3.18531e12i 0.275097 + 0.511216i
\(698\) 1.09060e12 + 1.14068e12i 0.173906 + 0.181892i
\(699\) 2.46764e12 − 4.58564e12i 0.390962 − 0.726528i
\(700\) −4.79525e13 + 1.32340e13i −7.54866 + 2.08330i
\(701\) 6.46393e10 + 4.77187e11i 0.0101103 + 0.0746375i 0.995302 − 0.0968193i \(-0.0308669\pi\)
−0.985192 + 0.171457i \(0.945153\pi\)
\(702\) −1.31570e12 + 9.71290e12i −0.204475 + 1.50950i
\(703\) 2.94674e12 + 8.13249e11i 0.455033 + 0.125581i
\(704\) 3.07429e12 − 3.21546e12i 0.471703 − 0.493362i
\(705\) 5.36025e12 + 1.64972e13i 0.817211 + 2.51512i
\(706\) −1.62895e12 − 1.46608e11i −0.246766 − 0.0222093i
\(707\) −4.74937e12 − 4.14940e12i −0.714906 − 0.624595i
\(708\) −3.21483e11 + 7.15838e12i −0.0480849 + 1.07069i
\(709\) −4.38339e12 −0.651481 −0.325741 − 0.945459i \(-0.605614\pi\)
−0.325741 + 0.945459i \(0.605614\pi\)
\(710\) 2.18720e13 − 2.62483e12i 3.23017 − 0.387649i
\(711\) 3.59324e12 0.527319
\(712\) −5.03023e11 + 1.12007e13i −0.0733547 + 1.63337i
\(713\) 4.47905e12 + 3.91323e12i 0.649057 + 0.567064i
\(714\) −2.66909e13 − 2.40223e12i −3.84346 − 0.345917i
\(715\) 9.53488e11 + 2.93454e12i 0.136439 + 0.419916i
\(716\) −6.93803e12 + 7.25661e12i −0.986570 + 1.03187i
\(717\) 2.98723e12 + 8.24422e11i 0.422116 + 0.116497i
\(718\) −2.54013e12 + 1.87520e13i −0.356694 + 2.63322i
\(719\) −7.07271e11 − 5.22129e12i −0.0986975 − 0.728614i −0.970903 − 0.239474i \(-0.923025\pi\)
0.872205 − 0.489140i \(-0.162689\pi\)
\(720\) −2.24483e13 + 6.19534e12i −3.11306 + 0.859150i
\(721\) 6.24765e12 − 1.16101e13i 0.861009 − 1.60002i
\(722\) 6.37786e12 + 6.67072e12i 0.873489 + 0.913598i
\(723\) −3.45891e12 − 6.42772e12i −0.470778 − 0.874853i
\(724\) −5.78846e12 + 1.78150e13i −0.782960 + 2.40970i
\(725\) −4.92012e12 + 1.15112e13i −0.661385 + 1.54739i
\(726\) 1.68649e13 + 3.06053e12i 2.25304 + 0.408866i
\(727\) −1.04436e13 − 7.58775e12i −1.38659 − 1.00741i −0.996230 − 0.0867506i \(-0.972352\pi\)
−0.390357 − 0.920664i \(-0.627648\pi\)
\(728\) 5.23458e13 − 4.71121e12i 6.90702 − 0.621643i
\(729\) −2.03616e11 − 4.76383e11i −0.0267016 − 0.0624716i
\(730\) 8.97308e11 + 3.93136e12i 0.116947 + 0.512378i
\(731\) −5.13296e12 − 7.77611e12i −0.664875 − 1.00724i
\(732\) 2.90397e13 + 1.73504e13i 3.73845 + 2.23362i
\(733\) −4.14862e12 − 5.20221e12i −0.530806 − 0.665610i 0.442058 − 0.896987i \(-0.354249\pi\)
−0.972864 + 0.231376i \(0.925677\pi\)
\(734\) −5.77254e12 + 5.04331e12i −0.734065 + 0.641333i
\(735\) 1.91223e13 − 1.38932e13i 2.41684 − 1.75593i
\(736\) 1.82798e13 − 8.80311e12i 2.29627 − 1.10582i
\(737\) −1.00347e12 + 1.52020e12i −0.125286 + 0.189800i
\(738\) −4.26171e12 − 1.59945e12i −0.528847 − 0.198480i
\(739\) 5.81837e12 − 3.47631e12i 0.717631 − 0.428765i −0.107131 − 0.994245i \(-0.534166\pi\)
0.824762 + 0.565480i \(0.191309\pi\)
\(740\) 2.70884e13 + 1.30451e13i 3.32079 + 1.59921i
\(741\) 7.88651e12 − 1.43119e12i 0.960955 − 0.174388i
\(742\) −3.05702e12 + 1.33937e13i −0.370238 + 1.62212i
\(743\) −7.34491e12 + 2.75659e12i −0.884172 + 0.331835i −0.751821 − 0.659368i \(-0.770824\pi\)
−0.132351 + 0.991203i \(0.542253\pi\)
\(744\) 2.66753e13 − 3.34497e13i 3.19176 − 4.00234i
\(745\) 1.91869e11 + 4.27230e12i 0.0228193 + 0.508111i
\(746\) −3.00219e11 − 6.68489e12i −0.0354906 − 0.790259i
\(747\) −5.22616e12 + 6.55339e12i −0.614101 + 0.770058i
\(748\) 4.38258e12 − 1.64481e12i 0.511885 − 0.192114i
\(749\) 1.12284e12 − 4.91948e12i 0.130362 − 0.571151i
\(750\) −2.91755e13 + 5.29457e12i −3.36700 + 0.611020i
\(751\) 6.87575e12 + 3.31119e12i 0.788752 + 0.379843i 0.784485 − 0.620148i \(-0.212927\pi\)
0.00426712 + 0.999991i \(0.498642\pi\)
\(752\) −3.47583e13 + 2.07671e13i −3.96349 + 2.36808i