Properties

Label 43.10.g.a.9.1
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.1
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-27.2199 - 34.1327i) q^{2} +(-145.141 - 21.8765i) q^{3} +(-310.186 + 1359.01i) q^{4} +(-589.424 - 401.863i) q^{5} +(3204.02 + 5549.53i) q^{6} +(4835.78 - 8375.81i) q^{7} +(34691.1 - 16706.4i) q^{8} +(1778.80 + 548.686i) q^{9} +O(q^{10})\) \(q+(-27.2199 - 34.1327i) q^{2} +(-145.141 - 21.8765i) q^{3} +(-310.186 + 1359.01i) q^{4} +(-589.424 - 401.863i) q^{5} +(3204.02 + 5549.53i) q^{6} +(4835.78 - 8375.81i) q^{7} +(34691.1 - 16706.4i) q^{8} +(1778.80 + 548.686i) q^{9} +(2327.42 + 31057.3i) q^{10} +(-5251.26 - 23007.3i) q^{11} +(74751.2 - 190463. i) q^{12} +(5177.58 - 69090.0i) q^{13} +(-417518. + 62930.8i) q^{14} +(76758.3 + 71221.3i) q^{15} +(-871492. - 419688. i) q^{16} +(460200. - 313759. i) q^{17} +(-29690.5 - 75650.3i) q^{18} +(500379. - 154347. i) q^{19} +(728969. - 676384. i) q^{20} +(-885103. + 1.10988e6i) q^{21} +(-642361. + 805495. i) q^{22} +(1.51715e6 - 1.40771e6i) q^{23} +(-5.40058e6 + 1.66586e6i) q^{24} +(-527629. - 1.34438e6i) q^{25} +(-2.49916e6 + 1.70390e6i) q^{26} +(2.35680e6 + 1.13497e6i) q^{27} +(9.88286e6 + 9.16995e6i) q^{28} +(1.08667e6 - 163789. i) q^{29} +(341620. - 4.55861e6i) q^{30} +(760804. - 1.93850e6i) q^{31} +(5.01002e6 + 2.19504e7i) q^{32} +(258855. + 3.45418e6i) q^{33} +(-2.32360e7 - 7.16737e6i) q^{34} +(-6.21625e6 + 2.99359e6i) q^{35} +(-1.29743e6 + 2.24721e6i) q^{36} +(-1.19716e6 - 2.07354e6i) q^{37} +(-1.88885e7 - 1.28780e7i) q^{38} +(-2.26293e6 + 9.91452e6i) q^{39} +(-2.71615e7 - 4.09393e6i) q^{40} +(1.25364e7 + 1.57202e7i) q^{41} +6.19758e7 q^{42} +(-1.68483e7 + 1.47894e7i) q^{43} +3.28961e7 q^{44} +(-827969. - 1.03824e6i) q^{45} +(-8.93457e7 - 1.34667e7i) q^{46} +(1.23858e7 - 5.42656e7i) q^{47} +(1.17308e8 + 7.99792e7i) q^{48} +(-2.65927e7 - 4.60599e7i) q^{49} +(-3.15252e7 + 5.46032e7i) q^{50} +(-7.36578e7 + 3.54717e7i) q^{51} +(9.22883e7 + 2.84672e7i) q^{52} +(3.79474e6 + 5.06373e7i) q^{53} +(-2.54121e7 - 1.11338e8i) q^{54} +(-6.15054e6 + 1.56713e7i) q^{55} +(2.78292e7 - 3.71354e8i) q^{56} +(-7.60021e7 + 1.14555e7i) q^{57} +(-3.51696e7 - 3.26326e7i) q^{58} +(3.20470e7 + 1.54330e7i) q^{59} +(-1.20600e8 + 8.22238e7i) q^{60} +(-5.84173e7 - 1.48845e8i) q^{61} +(-8.68751e7 + 2.67974e7i) q^{62} +(1.31975e7 - 1.22455e7i) q^{63} +(3.04070e8 - 3.81291e8i) q^{64} +(-3.08165e7 + 3.86427e7i) q^{65} +(1.10854e8 - 1.02858e8i) q^{66} +(9.23397e7 - 2.84830e7i) q^{67} +(2.83655e8 + 7.22742e8i) q^{68} +(-2.50997e8 + 1.71127e8i) q^{69} +(2.71385e8 + 1.30692e8i) q^{70} +(1.48839e8 + 1.38102e8i) q^{71} +(7.08749e7 - 1.06827e7i) q^{72} +(2.06199e7 - 2.75154e8i) q^{73} +(-3.81889e7 + 9.73038e7i) q^{74} +(4.71704e7 + 2.06667e8i) q^{75} +(5.45485e7 + 7.27899e8i) q^{76} +(-2.18098e8 - 6.72745e7i) q^{77} +(4.00006e8 - 1.92633e8i) q^{78} +(-2.03311e6 + 3.52146e6i) q^{79} +(3.45021e8 + 5.97595e8i) q^{80} +(-3.47512e8 - 2.36930e8i) q^{81} +(1.95332e8 - 8.55805e8i) q^{82} +(-2.64609e8 - 3.98835e7i) q^{83} +(-1.23380e9 - 1.54714e9i) q^{84} -3.97341e8 q^{85} +(9.63413e8 + 1.72510e8i) q^{86} -1.61304e8 q^{87} +(-5.66540e8 - 7.10418e8i) q^{88} +(-1.26707e8 - 1.90980e7i) q^{89} +(-1.29007e7 + 5.65216e7i) q^{90} +(-5.53647e8 - 3.77470e8i) q^{91} +(1.44250e9 + 2.49848e9i) q^{92} +(-1.52831e8 + 2.64712e8i) q^{93} +(-2.18937e9 + 1.05435e9i) q^{94} +(-3.56962e8 - 1.10108e8i) q^{95} +(-2.46963e8 - 3.29550e9i) q^{96} +(-2.88567e8 - 1.26429e9i) q^{97} +(-8.48297e8 + 2.16143e9i) q^{98} +(3.28284e6 - 4.38065e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −27.2199 34.1327i −1.20296 1.50847i −0.807376 0.590037i \(-0.799113\pi\)
−0.395585 0.918429i \(-0.629458\pi\)
\(3\) −145.141 21.8765i −1.03453 0.155931i −0.390243 0.920712i \(-0.627609\pi\)
−0.644290 + 0.764781i \(0.722847\pi\)
\(4\) −310.186 + 1359.01i −0.605833 + 2.65433i
\(5\) −589.424 401.863i −0.421758 0.287550i 0.333785 0.942649i \(-0.391674\pi\)
−0.755542 + 0.655100i \(0.772627\pi\)
\(6\) 3204.02 + 5549.53i 1.00929 + 1.74814i
\(7\) 4835.78 8375.81i 0.761246 1.31852i −0.180962 0.983490i \(-0.557921\pi\)
0.942209 0.335027i \(-0.108745\pi\)
\(8\) 34691.1 16706.4i 2.99442 1.44204i
\(9\) 1778.80 + 548.686i 0.0903722 + 0.0278761i
\(10\) 2327.42 + 31057.3i 0.0735996 + 0.982119i
\(11\) −5251.26 23007.3i −0.108142 0.473803i −0.999778 0.0210501i \(-0.993299\pi\)
0.891636 0.452753i \(-0.149558\pi\)
\(12\) 74751.2 190463.i 1.04065 2.65152i
\(13\) 5177.58 69090.0i 0.0502784 0.670919i −0.913947 0.405834i \(-0.866981\pi\)
0.964225 0.265085i \(-0.0853999\pi\)
\(14\) −417518. + 62930.8i −2.90469 + 0.437811i
\(15\) 76758.3 + 71221.3i 0.391485 + 0.363245i
\(16\) −871492. 419688.i −3.32448 1.60098i
\(17\) 460200. 313759.i 1.33637 0.911121i 0.336833 0.941565i \(-0.390644\pi\)
0.999536 + 0.0304436i \(0.00969199\pi\)
\(18\) −29690.5 75650.3i −0.0666641 0.169857i
\(19\) 500379. 154347.i 0.880862 0.271710i 0.178851 0.983876i \(-0.442762\pi\)
0.702011 + 0.712166i \(0.252286\pi\)
\(20\) 728969. 676384.i 1.01876 0.945276i
\(21\) −885103. + 1.10988e6i −0.993132 + 1.24535i
\(22\) −642361. + 805495.i −0.584625 + 0.733096i
\(23\) 1.51715e6 1.40771e6i 1.13046 1.04891i 0.132120 0.991234i \(-0.457821\pi\)
0.998335 0.0576760i \(-0.0183690\pi\)
\(24\) −5.40058e6 + 1.66586e6i −3.32269 + 1.02491i
\(25\) −527629. 1.34438e6i −0.270146 0.688321i
\(26\) −2.49916e6 + 1.70390e6i −1.07254 + 0.731246i
\(27\) 2.35680e6 + 1.13497e6i 0.853464 + 0.411007i
\(28\) 9.88286e6 + 9.16995e6i 3.03859 + 2.81940i
\(29\) 1.08667e6 163789.i 0.285303 0.0430025i −0.00483158 0.999988i \(-0.501538\pi\)
0.290135 + 0.956986i \(0.406300\pi\)
\(30\) 341620. 4.55861e6i 0.0770013 1.02751i
\(31\) 760804. 1.93850e6i 0.147960 0.376997i −0.837609 0.546271i \(-0.816047\pi\)
0.985569 + 0.169274i \(0.0541423\pi\)
\(32\) 5.01002e6 + 2.19504e7i 0.844627 + 3.70055i
\(33\) 258855. + 3.45418e6i 0.0379965 + 0.507028i
\(34\) −2.32360e7 7.16737e6i −2.98200 0.919824i
\(35\) −6.21625e6 + 2.99359e6i −0.700201 + 0.337199i
\(36\) −1.29743e6 + 2.24721e6i −0.128743 + 0.222989i
\(37\) −1.19716e6 2.07354e6i −0.105013 0.181888i 0.808730 0.588180i \(-0.200155\pi\)
−0.913744 + 0.406291i \(0.866822\pi\)
\(38\) −1.88885e7 1.28780e7i −1.46951 1.00189i
\(39\) −2.26293e6 + 9.91452e6i −0.156632 + 0.686248i
\(40\) −2.71615e7 4.09393e6i −1.67758 0.252854i
\(41\) 1.25364e7 + 1.57202e7i 0.692862 + 0.868821i 0.996468 0.0839763i \(-0.0267620\pi\)
−0.303606 + 0.952798i \(0.598191\pi\)
\(42\) 6.19758e7 3.07327
\(43\) −1.68483e7 + 1.47894e7i −0.751533 + 0.659696i
\(44\) 3.28961e7 1.32314
\(45\) −827969. 1.03824e6i −0.0300994 0.0377435i
\(46\) −8.93457e7 1.34667e7i −2.94214 0.443456i
\(47\) 1.23858e7 5.42656e7i 0.370240 1.62213i −0.355862 0.934538i \(-0.615813\pi\)
0.726102 0.687587i \(-0.241330\pi\)
\(48\) 1.17308e8 + 7.99792e7i 3.18964 + 2.17466i
\(49\) −2.65927e7 4.60599e7i −0.658991 1.14141i
\(50\) −3.15252e7 + 5.46032e7i −0.713334 + 1.23553i
\(51\) −7.36578e7 + 3.54717e7i −1.52459 + 0.734204i
\(52\) 9.22883e7 + 2.84672e7i 1.75038 + 0.539920i
\(53\) 3.79474e6 + 5.06373e7i 0.0660603 + 0.881514i 0.927540 + 0.373723i \(0.121919\pi\)
−0.861480 + 0.507791i \(0.830462\pi\)
\(54\) −2.54121e7 1.11338e8i −0.406695 1.78185i
\(55\) −6.15054e6 + 1.56713e7i −0.0906320 + 0.230927i
\(56\) 2.78292e7 3.71354e8i 0.378141 5.04595i
\(57\) −7.60021e7 + 1.14555e7i −0.953649 + 0.143740i
\(58\) −3.51696e7 3.26326e7i −0.408077 0.378640i
\(59\) 3.20470e7 + 1.54330e7i 0.344313 + 0.165813i 0.598046 0.801462i \(-0.295944\pi\)
−0.253733 + 0.967274i \(0.581658\pi\)
\(60\) −1.20600e8 + 8.22238e7i −1.20134 + 0.819062i
\(61\) −5.84173e7 1.48845e8i −0.540203 1.37641i −0.896916 0.442201i \(-0.854198\pi\)
0.356713 0.934214i \(-0.383897\pi\)
\(62\) −8.68751e7 + 2.67974e7i −0.746677 + 0.230319i
\(63\) 1.31975e7 1.22455e7i 0.105551 0.0979367i
\(64\) 3.04070e8 3.81291e8i 2.26549 2.84084i
\(65\) −3.08165e7 + 3.86427e7i −0.214128 + 0.268508i
\(66\) 1.10854e8 1.02858e8i 0.719126 0.667252i
\(67\) 9.23397e7 2.84830e7i 0.559824 0.172683i −0.00191359 0.999998i \(-0.500609\pi\)
0.561738 + 0.827315i \(0.310133\pi\)
\(68\) 2.83655e8 + 7.22742e8i 1.60880 + 4.09915i
\(69\) −2.50997e8 + 1.71127e8i −1.33305 + 0.908859i
\(70\) 2.71385e8 + 1.30692e8i 1.35097 + 0.650592i
\(71\) 1.48839e8 + 1.38102e8i 0.695110 + 0.644968i 0.946420 0.322939i \(-0.104671\pi\)
−0.251310 + 0.967907i \(0.580861\pi\)
\(72\) 7.08749e7 1.06827e7i 0.310811 0.0468472i
\(73\) 2.06199e7 2.75154e8i 0.0849834 1.13402i −0.777821 0.628486i \(-0.783675\pi\)
0.862804 0.505539i \(-0.168706\pi\)
\(74\) −3.81889e7 + 9.73038e7i −0.148045 + 0.377213i
\(75\) 4.71704e7 + 2.06667e8i 0.172145 + 0.754215i
\(76\) 5.45485e7 + 7.27899e8i 0.187552 + 2.50271i
\(77\) −2.18098e8 6.72745e7i −0.707041 0.218093i
\(78\) 4.00006e8 1.92633e8i 1.22360 0.589257i
\(79\) −2.03311e6 + 3.52146e6i −0.00587273 + 0.0101719i −0.868947 0.494905i \(-0.835203\pi\)
0.863074 + 0.505077i \(0.168536\pi\)
\(80\) 3.45021e8 + 5.97595e8i 0.941762 + 1.63118i
\(81\) −3.47512e8 2.36930e8i −0.896989 0.611557i
\(82\) 1.95332e8 8.55805e8i 0.477101 2.09032i
\(83\) −2.64609e8 3.98835e7i −0.612003 0.0922447i −0.164275 0.986414i \(-0.552529\pi\)
−0.447728 + 0.894170i \(0.647767\pi\)
\(84\) −1.23380e9 1.54714e9i −2.70389 3.39057i
\(85\) −3.97341e8 −0.825617
\(86\) 9.63413e8 + 1.72510e8i 1.89919 + 0.340073i
\(87\) −1.61304e8 −0.301861
\(88\) −5.66540e8 7.10418e8i −1.00707 1.26282i
\(89\) −1.26707e8 1.90980e7i −0.214065 0.0322651i 0.0411339 0.999154i \(-0.486903\pi\)
−0.255199 + 0.966888i \(0.582141\pi\)
\(90\) −1.29007e7 + 5.65216e7i −0.0207263 + 0.0908079i
\(91\) −5.53647e8 3.77470e8i −0.846344 0.577027i
\(92\) 1.44250e9 + 2.49848e9i 2.09928 + 3.63606i
\(93\) −1.52831e8 + 2.64712e8i −0.211855 + 0.366944i
\(94\) −2.18937e9 + 1.05435e9i −2.89231 + 1.39286i
\(95\) −3.56962e8 1.10108e8i −0.449641 0.138696i
\(96\) −2.46963e8 3.29550e9i −0.296765 3.96005i
\(97\) −2.88567e8 1.26429e9i −0.330959 1.45002i −0.817278 0.576243i \(-0.804518\pi\)
0.486320 0.873781i \(-0.338339\pi\)
\(98\) −8.48297e8 + 2.16143e9i −0.929032 + 2.36713i
\(99\) 3.28284e6 4.38065e7i 0.00343472 0.0458332i
\(100\) 1.99069e9 3.00049e8i 1.99069 0.300049i
\(101\) 3.81611e8 + 3.54083e8i 0.364900 + 0.338578i 0.841219 0.540695i \(-0.181839\pi\)
−0.476319 + 0.879273i \(0.658029\pi\)
\(102\) 3.21571e9 + 1.54860e9i 2.94155 + 1.41657i
\(103\) −4.90808e8 + 3.34627e8i −0.429679 + 0.292950i −0.758783 0.651344i \(-0.774206\pi\)
0.329104 + 0.944294i \(0.393253\pi\)
\(104\) −9.74626e8 2.48331e9i −0.816936 2.08152i
\(105\) 9.67722e8 2.98503e8i 0.776961 0.239661i
\(106\) 1.62510e9 1.50787e9i 1.25027 1.16008i
\(107\) 1.15461e9 1.44784e9i 0.851549 1.06781i −0.145371 0.989377i \(-0.546438\pi\)
0.996920 0.0784310i \(-0.0249910\pi\)
\(108\) −2.27349e9 + 2.85087e9i −1.60800 + 2.01637i
\(109\) −6.63140e8 + 6.15304e8i −0.449972 + 0.417513i −0.872331 0.488915i \(-0.837393\pi\)
0.422359 + 0.906429i \(0.361202\pi\)
\(110\) 7.02322e8 2.16638e8i 0.457372 0.141080i
\(111\) 1.28395e8 + 3.27145e8i 0.0802777 + 0.204544i
\(112\) −7.72957e9 + 5.26993e9i −4.64167 + 3.16464i
\(113\) 1.49401e9 + 7.19478e8i 0.861987 + 0.415111i 0.812013 0.583639i \(-0.198372\pi\)
0.0499743 + 0.998751i \(0.484086\pi\)
\(114\) 2.45978e9 + 2.28234e9i 1.36403 + 1.26563i
\(115\) −1.45995e9 + 2.20052e8i −0.778392 + 0.117324i
\(116\) −1.14478e8 + 1.52761e9i −0.0587032 + 0.783340i
\(117\) 4.71185e7 1.20056e8i 0.0232464 0.0592308i
\(118\) −3.45546e8 1.51394e9i −0.164073 0.718851i
\(119\) −4.02562e8 5.37182e9i −0.184023 2.45561i
\(120\) 3.85268e9 + 1.18839e9i 1.69608 + 0.523173i
\(121\) 1.62268e9 7.81441e8i 0.688174 0.331407i
\(122\) −3.49036e9 + 6.04548e9i −1.42643 + 2.47065i
\(123\) −1.47565e9 2.55590e9i −0.581313 1.00686i
\(124\) 2.39845e9 + 1.63524e9i 0.911033 + 0.621131i
\(125\) −5.39302e8 + 2.36284e9i −0.197577 + 0.865642i
\(126\) −7.77209e8 1.17145e8i −0.274707 0.0414055i
\(127\) 3.39392e9 + 4.25584e9i 1.15767 + 1.45167i 0.869390 + 0.494126i \(0.164512\pi\)
0.288279 + 0.957546i \(0.406917\pi\)
\(128\) −9.76364e9 −3.21490
\(129\) 2.76892e9 1.77797e9i 0.880353 0.565290i
\(130\) 2.15780e9 0.662622
\(131\) 3.53093e9 + 4.42765e9i 1.04754 + 1.31357i 0.947909 + 0.318543i \(0.103193\pi\)
0.0996267 + 0.995025i \(0.468235\pi\)
\(132\) −4.77457e9 7.19651e8i −1.36884 0.206319i
\(133\) 1.12694e9 4.93747e9i 0.312299 1.36827i
\(134\) −3.48568e9 2.37650e9i −0.933934 0.636745i
\(135\) −9.33050e8 1.61609e9i −0.241770 0.418759i
\(136\) 1.07231e10 1.85729e10i 2.68778 4.65538i
\(137\) −8.44349e8 + 4.06617e8i −0.204776 + 0.0986150i −0.533461 0.845825i \(-0.679109\pi\)
0.328685 + 0.944440i \(0.393395\pi\)
\(138\) 1.26731e10 + 3.90914e9i 2.97459 + 0.917540i
\(139\) −8.04785e7 1.07391e9i −0.0182858 0.244007i −0.998855 0.0478347i \(-0.984768\pi\)
0.980569 0.196172i \(-0.0628511\pi\)
\(140\) −2.14014e9 9.37655e9i −0.470831 2.06285i
\(141\) −2.98483e9 + 7.60521e9i −0.635965 + 1.62041i
\(142\) 6.62421e8 8.83940e9i 0.136721 1.82442i
\(143\) −1.61676e9 + 2.43687e8i −0.323321 + 0.0487328i
\(144\) −1.31993e9 1.22471e9i −0.255811 0.237358i
\(145\) −7.06331e8 3.40151e8i −0.132694 0.0639022i
\(146\) −9.95301e9 + 6.78585e9i −1.81287 + 1.23599i
\(147\) 2.85206e9 + 7.26693e9i 0.503768 + 1.28358i
\(148\) 3.18931e9 9.83773e8i 0.546411 0.168545i
\(149\) 4.82818e9 4.47990e9i 0.802501 0.744612i −0.167980 0.985790i \(-0.553724\pi\)
0.970481 + 0.241178i \(0.0775339\pi\)
\(150\) 5.77013e9 7.23551e9i 0.930625 1.16697i
\(151\) −2.95721e9 + 3.70823e9i −0.462899 + 0.580457i −0.957416 0.288711i \(-0.906773\pi\)
0.494517 + 0.869168i \(0.335345\pi\)
\(152\) 1.47801e10 1.37140e10i 2.24586 2.08385i
\(153\) 9.90757e8 3.05608e8i 0.146169 0.0450872i
\(154\) 3.64036e9 + 9.27549e9i 0.521557 + 1.32890i
\(155\) −1.22745e9 + 8.36858e8i −0.170809 + 0.116455i
\(156\) −1.27721e10 6.15070e9i −1.72663 0.831503i
\(157\) 4.60323e9 + 4.27117e9i 0.604664 + 0.561046i 0.921962 0.387280i \(-0.126585\pi\)
−0.317298 + 0.948326i \(0.602776\pi\)
\(158\) 1.75538e8 2.64581e7i 0.0224086 0.00337755i
\(159\) 5.56994e8 7.43257e9i 0.0691136 0.922257i
\(160\) 5.86800e9 1.49514e10i 0.707864 1.80361i
\(161\) −4.45411e9 1.95147e10i −0.522450 2.28900i
\(162\) 1.37220e9 + 1.83107e10i 0.156531 + 2.08876i
\(163\) −1.30802e10 4.03470e9i −1.45134 0.447680i −0.533899 0.845548i \(-0.679274\pi\)
−0.917442 + 0.397869i \(0.869750\pi\)
\(164\) −2.52526e10 + 1.21610e10i −2.72589 + 1.31272i
\(165\) 1.23553e9 2.14000e9i 0.129770 0.224769i
\(166\) 5.84132e9 + 1.01175e10i 0.597069 + 1.03415i
\(167\) −1.38831e10 9.46534e9i −1.38122 0.941699i −0.999851 0.0172750i \(-0.994501\pi\)
−0.381367 0.924424i \(-0.624547\pi\)
\(168\) −1.21631e10 + 5.32900e10i −1.17802 + 5.16123i
\(169\) 5.73944e9 + 8.65081e8i 0.541227 + 0.0815768i
\(170\) 1.08156e10 + 1.35623e10i 0.993185 + 1.24541i
\(171\) 9.74760e8 0.0871797
\(172\) −1.48730e10 2.74846e10i −1.29574 2.39448i
\(173\) 5.60126e9 0.475421 0.237711 0.971336i \(-0.423603\pi\)
0.237711 + 0.971336i \(0.423603\pi\)
\(174\) 4.39067e9 + 5.50572e9i 0.363127 + 0.455347i
\(175\) −1.38117e10 2.08179e9i −1.11321 0.167790i
\(176\) −5.07945e9 + 2.22545e10i −0.399034 + 1.74828i
\(177\) −4.31372e9 2.94104e9i −0.330348 0.225228i
\(178\) 2.79709e9 + 4.84470e9i 0.208841 + 0.361724i
\(179\) 2.53386e9 4.38877e9i 0.184478 0.319524i −0.758923 0.651181i \(-0.774274\pi\)
0.943400 + 0.331656i \(0.107607\pi\)
\(180\) 1.66781e9 8.03174e8i 0.118419 0.0570274i
\(181\) 1.86804e10 + 5.76215e9i 1.29370 + 0.399054i 0.863805 0.503826i \(-0.168075\pi\)
0.429894 + 0.902879i \(0.358551\pi\)
\(182\) 2.18615e9 + 2.91722e10i 0.147693 + 1.97082i
\(183\) 5.22254e9 + 2.28814e10i 0.344233 + 1.50818i
\(184\) 2.91139e10 7.41811e10i 1.87250 4.77104i
\(185\) −1.27644e8 + 1.70329e9i −0.00801174 + 0.106909i
\(186\) 1.31954e10 1.98888e9i 0.808376 0.121843i
\(187\) −9.63537e9 8.94031e9i −0.576210 0.534645i
\(188\) 6.99059e10 + 3.36649e10i 4.08135 + 1.96547i
\(189\) 2.09033e10 1.42516e10i 1.19162 0.812430i
\(190\) 5.95818e9 + 1.51812e10i 0.331683 + 0.845113i
\(191\) −2.63479e10 + 8.12724e9i −1.43250 + 0.441868i −0.911363 0.411603i \(-0.864969\pi\)
−0.521139 + 0.853472i \(0.674493\pi\)
\(192\) −5.24743e10 + 4.86890e10i −2.78670 + 2.58568i
\(193\) −2.18977e10 + 2.74588e10i −1.13603 + 1.42454i −0.245626 + 0.969365i \(0.578994\pi\)
−0.890404 + 0.455172i \(0.849578\pi\)
\(194\) −3.52990e10 + 4.42635e10i −1.78918 + 2.24356i
\(195\) 5.31810e9 4.93448e9i 0.263391 0.244391i
\(196\) 7.08447e10 2.18527e10i 3.42890 1.05768i
\(197\) −4.30987e9 1.09814e10i −0.203876 0.519467i 0.791966 0.610565i \(-0.209058\pi\)
−0.995842 + 0.0910979i \(0.970962\pi\)
\(198\) −1.58459e9 + 1.08036e9i −0.0732697 + 0.0499544i
\(199\) −1.62217e10 7.81194e9i −0.733258 0.353118i 0.0297068 0.999559i \(-0.490543\pi\)
−0.762965 + 0.646440i \(0.776257\pi\)
\(200\) −4.07637e10 3.78232e10i −1.80152 1.67156i
\(201\) −1.40254e10 + 2.11399e9i −0.606084 + 0.0913524i
\(202\) 1.69839e9 2.26635e10i 0.0717724 0.957736i
\(203\) 3.88303e9 9.89379e9i 0.160486 0.408913i
\(204\) −2.53590e10 1.11105e11i −1.02517 4.49156i
\(205\) −1.07192e9 1.43038e10i −0.0423907 0.565664i
\(206\) 2.47815e10 + 7.64407e9i 0.958793 + 0.295748i
\(207\) 3.47109e9 1.67159e9i 0.131401 0.0632795i
\(208\) −3.35085e10 + 5.80384e10i −1.24128 + 2.14996i
\(209\) −6.17871e9 1.07018e10i −0.223996 0.387972i
\(210\) −3.65300e10 2.49058e10i −1.29617 0.883716i
\(211\) −1.00844e10 + 4.41828e10i −0.350252 + 1.53455i 0.426347 + 0.904559i \(0.359800\pi\)
−0.776599 + 0.629995i \(0.783057\pi\)
\(212\) −6.99939e10 1.05499e10i −2.37985 0.358704i
\(213\) −1.85814e10 2.33004e10i −0.618544 0.775630i
\(214\) −8.08471e10 −2.63513
\(215\) 1.58741e10 1.94655e9i 0.506660 0.0621289i
\(216\) 1.00721e11 3.14832
\(217\) −1.25574e10 1.57465e10i −0.384442 0.482075i
\(218\) 3.90526e10 + 5.88623e9i 1.17110 + 0.176516i
\(219\) −9.01219e9 + 3.94850e10i −0.264748 + 1.15994i
\(220\) −1.93898e10 1.32197e10i −0.558046 0.380470i
\(221\) −1.92949e10 3.34197e10i −0.544098 0.942405i
\(222\) 7.67144e9 1.32873e10i 0.211977 0.367155i
\(223\) 1.96492e10 9.46254e9i 0.532075 0.256234i −0.148500 0.988912i \(-0.547445\pi\)
0.680575 + 0.732679i \(0.261730\pi\)
\(224\) 2.08079e11 + 6.41840e10i 5.52221 + 1.70338i
\(225\) −2.00904e8 2.68087e9i −0.00522597 0.0697357i
\(226\) −1.61091e10 7.05788e10i −0.410756 1.79964i
\(227\) −7.73257e9 + 1.97023e10i −0.193289 + 0.492493i −0.994358 0.106080i \(-0.966170\pi\)
0.801068 + 0.598573i \(0.204265\pi\)
\(228\) 8.00665e9 1.06841e11i 0.196220 2.61838i
\(229\) 2.86588e10 4.31962e9i 0.688650 0.103797i 0.204610 0.978843i \(-0.434407\pi\)
0.484039 + 0.875046i \(0.339169\pi\)
\(230\) 4.72508e10 + 4.38423e10i 1.11335 + 1.03304i
\(231\) 3.01833e10 + 1.45355e10i 0.697450 + 0.335874i
\(232\) 3.49615e10 2.38363e10i 0.792307 0.540186i
\(233\) 2.63170e10 + 6.70546e10i 0.584971 + 1.49048i 0.850286 + 0.526321i \(0.176429\pi\)
−0.265315 + 0.964162i \(0.585476\pi\)
\(234\) −5.38040e9 + 1.65963e9i −0.117312 + 0.0361860i
\(235\) −2.91078e10 + 2.70081e10i −0.622593 + 0.577682i
\(236\) −3.09143e10 + 3.87653e10i −0.648717 + 0.813465i
\(237\) 3.72125e8 4.66630e8i 0.00766164 0.00960739i
\(238\) −1.72397e11 + 1.59961e11i −3.48284 + 3.23160i
\(239\) 2.31904e10 7.15329e9i 0.459746 0.141813i −0.0562266 0.998418i \(-0.517907\pi\)
0.515972 + 0.856605i \(0.327431\pi\)
\(240\) −3.70035e10 9.42834e10i −0.719933 1.83436i
\(241\) −1.03413e10 + 7.05058e9i −0.197469 + 0.134632i −0.658018 0.753002i \(-0.728605\pi\)
0.460549 + 0.887634i \(0.347652\pi\)
\(242\) −7.08419e10 3.41156e10i −1.32776 0.639417i
\(243\) 7.51188e9 + 6.97000e9i 0.138204 + 0.128234i
\(244\) 2.20402e11 3.32203e10i 3.98073 0.599998i
\(245\) −2.83537e9 + 3.78354e10i −0.0502762 + 0.670890i
\(246\) −4.70727e10 + 1.19939e11i −0.819522 + 2.08811i
\(247\) −8.07305e9 3.53703e10i −0.138007 0.604648i
\(248\) −5.99209e9 7.99589e10i −0.100588 1.34225i
\(249\) 3.75332e10 + 1.15774e10i 0.618754 + 0.190860i
\(250\) 9.53297e10 4.59084e10i 1.54347 0.743296i
\(251\) −2.74126e10 + 4.74801e10i −0.435932 + 0.755057i −0.997371 0.0724613i \(-0.976915\pi\)
0.561439 + 0.827518i \(0.310248\pi\)
\(252\) 1.25482e10 + 2.17341e10i 0.196010 + 0.339499i
\(253\) −4.03545e10 2.75132e10i −0.619227 0.422182i
\(254\) 5.28811e10 2.31687e11i 0.797166 3.49261i
\(255\) 5.76705e10 + 8.69243e9i 0.854128 + 0.128739i
\(256\) 1.10082e11 + 1.38038e11i 1.60190 + 2.00872i
\(257\) 3.13055e10 0.447632 0.223816 0.974631i \(-0.428149\pi\)
0.223816 + 0.974631i \(0.428149\pi\)
\(258\) −1.36057e11 4.61144e10i −1.91175 0.647960i
\(259\) −2.31568e10 −0.319764
\(260\) −4.29571e10 5.38665e10i −0.582981 0.731036i
\(261\) 2.02283e9 + 3.04893e8i 0.0269822 + 0.00406692i
\(262\) 5.50159e10 2.41040e11i 0.721328 3.16034i
\(263\) 3.32405e10 + 2.26630e10i 0.428417 + 0.292090i 0.758268 0.651943i \(-0.226046\pi\)
−0.329850 + 0.944033i \(0.606998\pi\)
\(264\) 6.66867e10 + 1.15505e11i 0.844931 + 1.46346i
\(265\) 1.81125e10 3.13718e10i 0.225618 0.390781i
\(266\) −1.99204e11 + 9.59318e10i −2.43967 + 1.17488i
\(267\) 1.79726e10 + 5.54382e9i 0.216427 + 0.0667588i
\(268\) 1.00663e10 + 1.34326e11i 0.119197 + 1.59057i
\(269\) 1.40436e10 + 6.15289e10i 0.163528 + 0.716463i 0.988491 + 0.151277i \(0.0483386\pi\)
−0.824963 + 0.565186i \(0.808804\pi\)
\(270\) −2.97640e10 + 7.58374e10i −0.340843 + 0.868453i
\(271\) 6.74442e8 8.99980e9i 0.00759596 0.101361i −0.992117 0.125314i \(-0.960006\pi\)
0.999713 + 0.0239530i \(0.00762521\pi\)
\(272\) −5.32741e11 + 8.02979e10i −5.90142 + 0.889496i
\(273\) 7.20992e10 + 6.68983e10i 0.785594 + 0.728925i
\(274\) 3.68620e10 + 1.77518e10i 0.395095 + 0.190268i
\(275\) −2.81597e10 + 1.91990e10i −0.296914 + 0.202433i
\(276\) −1.54708e11 3.94189e11i −1.60480 4.08897i
\(277\) 1.10442e11 3.40667e10i 1.12713 0.347674i 0.325529 0.945532i \(-0.394458\pi\)
0.801602 + 0.597859i \(0.203982\pi\)
\(278\) −3.44649e10 + 3.19787e10i −0.346079 + 0.321114i
\(279\) 2.41694e9 3.03075e9i 0.0238807 0.0299454i
\(280\) −1.65637e11 + 2.07702e11i −1.61044 + 2.01943i
\(281\) 5.88528e10 5.46074e10i 0.563104 0.522484i −0.346451 0.938068i \(-0.612613\pi\)
0.909555 + 0.415584i \(0.136423\pi\)
\(282\) 3.40833e11 1.05133e11i 3.20938 0.989962i
\(283\) 6.18990e9 + 1.57716e10i 0.0573647 + 0.146163i 0.956683 0.291132i \(-0.0940319\pi\)
−0.899318 + 0.437295i \(0.855937\pi\)
\(284\) −2.33851e11 + 1.59437e11i −2.13307 + 1.45431i
\(285\) 4.94010e10 + 2.37903e10i 0.443541 + 0.213598i
\(286\) 5.23258e10 + 4.85512e10i 0.462454 + 0.429095i
\(287\) 1.92293e11 2.89835e10i 1.67299 0.252163i
\(288\) −3.13204e9 + 4.17941e10i −0.0268263 + 0.357972i
\(289\) 7.00143e10 1.78393e11i 0.590400 1.50431i
\(290\) 7.61599e9 + 3.33678e10i 0.0632318 + 0.277037i
\(291\) 1.42246e10 + 1.89814e11i 0.116284 + 1.55171i
\(292\) 3.67542e11 + 1.13372e11i 2.95859 + 0.912603i
\(293\) 3.35064e10 1.61358e10i 0.265597 0.127905i −0.296346 0.955081i \(-0.595768\pi\)
0.561943 + 0.827176i \(0.310054\pi\)
\(294\) 1.70407e11 2.95154e11i 1.33022 2.30401i
\(295\) −1.26873e10 2.19751e10i −0.0975375 0.168940i
\(296\) −7.61720e10 5.19332e10i −0.576744 0.393217i
\(297\) 1.37365e10 6.01835e10i 0.102441 0.448821i
\(298\) −2.84334e11 4.28564e10i −2.08860 0.314806i
\(299\) −8.94035e10 1.12108e11i −0.646896 0.811182i
\(300\) −2.95495e11 −2.10622
\(301\) 4.23990e10 + 2.12637e11i 0.297719 + 1.49310i
\(302\) 2.07067e11 1.43245
\(303\) −4.76413e10 5.97403e10i −0.324707 0.407170i
\(304\) −5.00854e11 7.54916e10i −3.36341 0.506953i
\(305\) −2.53826e10 + 1.11208e11i −0.167953 + 0.735849i
\(306\) −3.73995e10 2.54986e10i −0.243848 0.166253i
\(307\) 2.73219e10 + 4.73230e10i 0.175545 + 0.304053i 0.940350 0.340209i \(-0.110498\pi\)
−0.764805 + 0.644262i \(0.777165\pi\)
\(308\) 1.59078e11 2.75531e11i 1.00724 1.74459i
\(309\) 7.85568e10 3.78310e10i 0.490197 0.236067i
\(310\) 6.19752e10 + 1.91168e10i 0.381145 + 0.117568i
\(311\) −6.70612e9 8.94870e10i −0.0406490 0.542423i −0.979939 0.199298i \(-0.936134\pi\)
0.939290 0.343125i \(-0.111485\pi\)
\(312\) 8.71322e10 + 3.81751e11i 0.520575 + 2.28079i
\(313\) −5.70679e10 + 1.45407e11i −0.336080 + 0.856317i 0.658523 + 0.752560i \(0.271181\pi\)
−0.994603 + 0.103756i \(0.966914\pi\)
\(314\) 2.04871e10 2.73382e11i 0.118932 1.58703i
\(315\) −1.27000e10 + 1.91421e9i −0.0726784 + 0.0109545i
\(316\) −4.15507e9 3.85534e9i −0.0234415 0.0217506i
\(317\) −4.26492e10 2.05388e10i −0.237216 0.114237i 0.311500 0.950246i \(-0.399169\pi\)
−0.548716 + 0.836009i \(0.684883\pi\)
\(318\) −2.68855e11 + 1.83302e11i −1.47433 + 1.00518i
\(319\) −9.47473e9 2.41412e10i −0.0512281 0.130527i
\(320\) −3.32453e11 + 1.02548e11i −1.77237 + 0.546705i
\(321\) −1.99255e11 + 1.84882e11i −1.04746 + 0.971901i
\(322\) −5.44850e11 + 6.83221e11i −2.82440 + 3.54168i
\(323\) 1.81847e11 2.28029e11i 0.929596 1.16568i
\(324\) 4.29784e11 3.98782e11i 2.16670 2.01040i
\(325\) −9.56148e10 + 2.94933e10i −0.475390 + 0.146638i
\(326\) 2.18326e11 + 5.56286e11i 1.07060 + 2.72784i
\(327\) 1.09709e11 7.47986e10i 0.530615 0.361767i
\(328\) 6.97530e11 + 3.35913e11i 3.32760 + 1.60249i
\(329\) −3.94624e11 3.66157e11i −1.85696 1.72300i
\(330\) −1.06675e11 + 1.60787e10i −0.495165 + 0.0746341i
\(331\) −1.64641e10 + 2.19699e11i −0.0753899 + 1.00601i 0.823352 + 0.567531i \(0.192101\pi\)
−0.898742 + 0.438478i \(0.855518\pi\)
\(332\) 1.36280e11 3.47237e11i 0.615619 1.56857i
\(333\) −9.91779e8 4.34527e9i −0.00441993 0.0193650i
\(334\) 5.48193e10 + 7.31513e11i 0.241032 + 3.21635i
\(335\) −6.58735e10 2.03193e10i −0.285765 0.0881469i
\(336\) 1.23717e12 5.95787e11i 5.29543 2.55014i
\(337\) 8.14996e10 1.41162e11i 0.344208 0.596186i −0.641001 0.767540i \(-0.721481\pi\)
0.985210 + 0.171354i \(0.0548141\pi\)
\(338\) −1.26699e11 2.19450e11i −0.528019 0.914556i
\(339\) −2.01103e11 1.37109e11i −0.827026 0.563857i
\(340\) 1.23250e11 5.39993e11i 0.500185 2.19146i
\(341\) −4.85947e10 7.32447e9i −0.194623 0.0293347i
\(342\) −2.65329e10 3.32712e10i −0.104874 0.131508i
\(343\) −1.24103e11 −0.484126
\(344\) −3.37408e11 + 7.94536e11i −1.29910 + 3.05915i
\(345\) 2.16713e11 0.823567
\(346\) −1.52466e11 1.91186e11i −0.571913 0.717157i
\(347\) −2.93965e11 4.43081e10i −1.08846 0.164059i −0.419792 0.907620i \(-0.637897\pi\)
−0.668668 + 0.743561i \(0.733135\pi\)
\(348\) 5.00341e10 2.19214e11i 0.182877 0.801238i
\(349\) 3.00836e10 + 2.05107e10i 0.108546 + 0.0740057i 0.616377 0.787451i \(-0.288600\pi\)
−0.507830 + 0.861457i \(0.669552\pi\)
\(350\) 3.04898e11 + 5.28098e11i 1.08605 + 1.88109i
\(351\) 9.06178e10 1.56955e11i 0.318663 0.551941i
\(352\) 4.78709e11 2.30534e11i 1.66199 0.800374i
\(353\) 5.14040e11 + 1.58560e11i 1.76202 + 0.543511i 0.995157 0.0983006i \(-0.0313407\pi\)
0.766862 + 0.641812i \(0.221817\pi\)
\(354\) 1.70333e10 + 2.27294e11i 0.0576480 + 0.769260i
\(355\) −3.22311e10 1.41214e11i −0.107708 0.471899i
\(356\) 6.52573e10 1.66273e11i 0.215330 0.548652i
\(357\) −5.90882e10 + 7.88478e11i −0.192528 + 2.56911i
\(358\) −2.18772e11 + 3.29746e10i −0.703911 + 0.106098i
\(359\) −1.23329e11 1.14432e11i −0.391868 0.363600i 0.459492 0.888182i \(-0.348031\pi\)
−0.851360 + 0.524581i \(0.824222\pi\)
\(360\) −4.60684e10 2.21854e10i −0.144558 0.0696154i
\(361\) −4.00606e10 + 2.73129e10i −0.124147 + 0.0846418i
\(362\) −3.11802e11 7.94459e11i −0.954312 2.43155i
\(363\) −2.52612e11 + 7.79206e10i −0.763616 + 0.235544i
\(364\) 6.84721e11 6.35329e11i 2.04436 1.89689i
\(365\) −1.22728e11 + 1.53896e11i −0.361931 + 0.453847i
\(366\) 6.38848e11 8.01090e11i 1.86094 2.33355i
\(367\) −1.56447e11 + 1.45161e11i −0.450162 + 0.417690i −0.872398 0.488797i \(-0.837436\pi\)
0.422235 + 0.906486i \(0.361246\pi\)
\(368\) −1.91298e12 + 5.90078e11i −5.43746 + 1.67723i
\(369\) 1.36743e10 + 3.48416e10i 0.0383961 + 0.0978316i
\(370\) 6.16123e10 4.20065e10i 0.170907 0.116522i
\(371\) 4.42479e11 + 2.13087e11i 1.21258 + 0.583948i
\(372\) −3.12341e11 2.89810e11i −0.845640 0.784639i
\(373\) −2.56673e11 + 3.86873e10i −0.686580 + 0.103485i −0.483062 0.875586i \(-0.660475\pi\)
−0.203518 + 0.979071i \(0.565237\pi\)
\(374\) −4.28831e10 + 5.72236e11i −0.113335 + 1.51235i
\(375\) 1.29965e11 3.31146e11i 0.339381 0.864727i
\(376\) −4.76905e11 2.08946e12i −1.23051 5.39123i
\(377\) −5.68987e9 7.59260e10i −0.0145066 0.193577i
\(378\) −1.05543e12 3.25557e11i −2.65899 0.820190i
\(379\) −6.13997e11 + 2.95686e11i −1.52859 + 0.736129i −0.994041 0.109010i \(-0.965232\pi\)
−0.534546 + 0.845139i \(0.679518\pi\)
\(380\) 2.60363e11 4.50962e11i 0.640551 1.10947i
\(381\) −3.99494e11 6.91944e11i −0.971288 1.68232i
\(382\) 9.94591e11 + 6.78101e11i 2.38979 + 1.62933i
\(383\) −7.40856e10 + 3.24590e11i −0.175930 + 0.770798i 0.807553 + 0.589795i \(0.200792\pi\)
−0.983483 + 0.181003i \(0.942066\pi\)
\(384\) 1.41710e12 + 2.13594e11i 3.32592 + 0.501301i
\(385\) 1.01517e11 + 1.27299e11i 0.235487 + 0.295292i
\(386\) 1.53329e12 3.51547
\(387\) −3.80844e10 + 1.70630e10i −0.0863074 + 0.0386683i
\(388\) 1.80770e12 4.04934
\(389\) 9.76200e10 + 1.22412e11i 0.216155 + 0.271050i 0.878073 0.478526i \(-0.158829\pi\)
−0.661918 + 0.749576i \(0.730257\pi\)
\(390\) −3.13185e11 4.72051e10i −0.685505 0.103323i
\(391\) 2.56511e11 1.12385e12i 0.555022 2.43171i
\(392\) −1.69202e12 1.15360e12i −3.61925 2.46756i
\(393\) −4.15622e11 7.19878e11i −0.878885 1.52227i
\(394\) −2.57509e11 + 4.46019e11i −0.538344 + 0.932439i
\(395\) 2.61351e9 1.25860e9i 0.00540178 0.00260136i
\(396\) 5.85154e10 + 1.80496e10i 0.119575 + 0.0368841i
\(397\) −2.01206e10 2.68490e11i −0.0406521 0.542465i −0.979935 0.199320i \(-0.936127\pi\)
0.939282 0.343145i \(-0.111492\pi\)
\(398\) 1.74910e11 + 7.66330e11i 0.349414 + 1.53088i
\(399\) −2.71580e11 + 6.91975e11i −0.536439 + 1.36682i
\(400\) −1.04395e11 + 1.39305e12i −0.203896 + 2.72081i
\(401\) −3.24692e10 + 4.89394e9i −0.0627078 + 0.00945169i −0.180321 0.983608i \(-0.557714\pi\)
0.117613 + 0.993059i \(0.462476\pi\)
\(402\) 4.53926e11 + 4.21182e11i 0.866897 + 0.804363i
\(403\) −1.29992e11 6.26006e10i −0.245495 0.118224i
\(404\) −5.99574e11 + 4.08783e11i −1.11976 + 0.763443i
\(405\) 1.09619e11 + 2.79304e11i 0.202459 + 0.515858i
\(406\) −4.43397e11 + 1.36770e11i −0.809890 + 0.249818i
\(407\) −4.14199e10 + 3.84320e10i −0.0748228 + 0.0694254i
\(408\) −1.96267e12 + 2.46111e12i −3.50652 + 4.39704i
\(409\) 3.47003e11 4.35128e11i 0.613166 0.768886i −0.374199 0.927349i \(-0.622082\pi\)
0.987365 + 0.158462i \(0.0506537\pi\)
\(410\) −4.59049e11 + 4.25936e11i −0.802291 + 0.744418i
\(411\) 1.31445e11 4.05454e10i 0.227225 0.0700896i
\(412\) −3.02521e11 7.70812e11i −0.517272 1.31799i
\(413\) 2.84237e11 1.93789e11i 0.480734 0.327759i
\(414\) −1.51539e11 7.29772e10i −0.253526 0.122092i
\(415\) 1.39940e11 + 1.29845e11i 0.231592 + 0.214886i
\(416\) 1.54249e12 2.32493e11i 2.52524 0.380618i
\(417\) −1.18127e10 + 1.57629e11i −0.0191309 + 0.255284i
\(418\) −1.97099e11 + 5.02199e11i −0.315784 + 0.804605i
\(419\) 2.61606e11 + 1.14617e12i 0.414653 + 1.81671i 0.561408 + 0.827539i \(0.310260\pi\)
−0.146755 + 0.989173i \(0.546883\pi\)
\(420\) 1.05496e11 + 1.40774e12i 0.165429 + 2.20750i
\(421\) 4.05798e11 + 1.25172e11i 0.629565 + 0.194195i 0.593086 0.805139i \(-0.297910\pi\)
0.0364791 + 0.999334i \(0.488386\pi\)
\(422\) 1.78258e12 8.58443e11i 2.73616 1.31767i
\(423\) 5.18065e10 8.97316e10i 0.0786779 0.136274i
\(424\) 9.77609e11 + 1.69327e12i 1.46899 + 2.54437i
\(425\) −6.64625e11 4.53134e11i −0.988159 0.673715i
\(426\) −2.89519e11 + 1.26847e12i −0.425926 + 1.86611i
\(427\) −1.52919e12 2.30488e11i −2.22605 0.335524i
\(428\) 1.60949e12 + 2.01824e12i 2.31841 + 2.90720i
\(429\) 2.39989e11 0.342085
\(430\) −4.98533e11 4.88842e11i −0.703212 0.689541i
\(431\) 3.72304e11 0.519697 0.259848 0.965649i \(-0.416327\pi\)
0.259848 + 0.965649i \(0.416327\pi\)
\(432\) −1.57759e12 1.97824e12i −2.17931 2.73277i
\(433\) −3.48922e11 5.25916e10i −0.477017 0.0718987i −0.0938665 0.995585i \(-0.529923\pi\)
−0.383150 + 0.923686i \(0.625161\pi\)
\(434\) −1.95659e11 + 8.57236e11i −0.264725 + 1.15984i
\(435\) 9.50762e10 + 6.48219e10i 0.127312 + 0.0868001i
\(436\) −6.30510e11 1.09208e12i −0.835608 1.44732i
\(437\) 5.41876e11 9.38556e11i 0.710777 1.23110i
\(438\) 1.59304e12 7.67168e11i 2.06820 0.995995i
\(439\) 7.20714e10 + 2.22311e10i 0.0926132 + 0.0285674i 0.340715 0.940166i \(-0.389331\pi\)
−0.248102 + 0.968734i \(0.579807\pi\)
\(440\) 4.84417e10 + 6.46409e11i 0.0616144 + 0.822187i
\(441\) −2.20305e10 9.65221e10i −0.0277365 0.121522i
\(442\) −6.15500e11 + 1.56827e12i −0.767057 + 1.95443i
\(443\) 5.66039e10 7.55327e11i 0.0698280 0.931791i −0.846764 0.531968i \(-0.821453\pi\)
0.916593 0.399823i \(-0.130928\pi\)
\(444\) −4.84422e11 + 7.30148e10i −0.591562 + 0.0891636i
\(445\) 6.70095e10 + 6.21758e10i 0.0810059 + 0.0751625i
\(446\) −8.57831e11 4.13110e11i −1.02658 0.494377i
\(447\) −7.98772e11 + 5.44593e11i −0.946322 + 0.645191i
\(448\) −1.72321e12 4.39067e12i −2.02110 5.14967i
\(449\) −7.03005e11 + 2.16848e11i −0.816301 + 0.251795i −0.674666 0.738124i \(-0.735712\pi\)
−0.141635 + 0.989919i \(0.545236\pi\)
\(450\) −8.60369e10 + 7.98306e10i −0.0989073 + 0.0917726i
\(451\) 2.95847e11 3.70980e11i 0.336723 0.422237i
\(452\) −1.44120e12 + 1.80721e12i −1.62406 + 2.03651i
\(453\) 5.10336e11 4.73522e11i 0.569396 0.528322i
\(454\) 8.82972e11 2.72361e11i 0.975428 0.300880i
\(455\) 1.74642e11 + 4.44980e11i 0.191028 + 0.486732i
\(456\) −2.44522e12 + 1.66712e12i −2.64835 + 1.80562i
\(457\) −8.96238e11 4.31606e11i −0.961171 0.462875i −0.113582 0.993529i \(-0.536232\pi\)
−0.847589 + 0.530653i \(0.821947\pi\)
\(458\) −9.27530e11 8.60622e11i −0.984994 0.913941i
\(459\) 1.44071e12 2.17152e11i 1.51502 0.228353i
\(460\) 1.53803e11 2.05235e12i 0.160160 2.13718i
\(461\) 2.36210e11 6.01854e11i 0.243582 0.620636i −0.755836 0.654761i \(-0.772769\pi\)
0.999418 + 0.0341250i \(0.0108644\pi\)
\(462\) −3.25451e11 1.42589e12i −0.332351 1.45612i
\(463\) 4.82007e10 + 6.43194e11i 0.0487460 + 0.650471i 0.967049 + 0.254591i \(0.0819410\pi\)
−0.918303 + 0.395879i \(0.870440\pi\)
\(464\) −1.01576e12 3.13322e11i −1.01733 0.313805i
\(465\) 1.96460e11 9.46103e10i 0.194866 0.0938426i
\(466\) 1.57241e12 2.72349e12i 1.54464 2.67540i
\(467\) 6.46685e11 + 1.12009e12i 0.629168 + 1.08975i 0.987719 + 0.156241i \(0.0499377\pi\)
−0.358551 + 0.933510i \(0.616729\pi\)
\(468\) 1.48542e11 + 1.01275e11i 0.143135 + 0.0975875i
\(469\) 2.07966e11 9.11157e11i 0.198479 0.869592i
\(470\) 1.71417e12 + 2.58370e11i 1.62037 + 0.244231i
\(471\) −5.74679e11 7.20625e11i −0.538061 0.674707i
\(472\) 1.36958e12 1.27013
\(473\) 4.28739e11 + 3.09970e11i 0.393839 + 0.284737i
\(474\) −2.60566e10 −0.0237091
\(475\) −4.71515e11 5.91261e11i −0.424985 0.532915i
\(476\) 7.42525e12 + 1.11918e12i 6.62948 + 0.999234i
\(477\) −2.10339e10 + 9.21556e10i −0.0186032 + 0.0815059i
\(478\) −8.75402e11 5.96839e11i −0.766976 0.522916i
\(479\) −7.17384e11 1.24254e12i −0.622647 1.07846i −0.988991 0.147976i \(-0.952724\pi\)
0.366344 0.930479i \(-0.380609\pi\)
\(480\) −1.17877e12 + 2.04169e12i −1.01355 + 1.75552i
\(481\) −1.49459e11 + 7.19757e10i −0.127312 + 0.0613103i
\(482\) 5.22144e11 + 1.61060e11i 0.440635 + 0.135918i
\(483\) 2.19560e11 + 2.92983e12i 0.183566 + 2.44952i
\(484\) 5.58657e11 + 2.44764e12i 0.462744 + 2.02742i
\(485\) −3.37984e11 + 8.61170e11i −0.277370 + 0.706726i
\(486\) 3.34323e10 4.46124e11i 0.0271834 0.362737i
\(487\) 3.64186e11 5.48922e10i 0.293388 0.0442212i −0.000698913 1.00000i \(-0.500222\pi\)
0.294087 + 0.955779i \(0.404984\pi\)
\(488\) −4.51321e12 4.18765e12i −3.60244 3.34258i
\(489\) 1.81021e12 + 8.71749e11i 1.43165 + 0.689448i
\(490\) 1.36860e12 9.33098e11i 1.07249 0.731215i
\(491\) −2.51769e11 6.41497e11i −0.195495 0.498113i 0.799190 0.601079i \(-0.205262\pi\)
−0.994685 + 0.102965i \(0.967167\pi\)
\(492\) 3.93123e12 1.21262e12i 3.02472 0.933003i
\(493\) 4.48695e11 4.16328e11i 0.342090 0.317413i
\(494\) −9.87537e11 + 1.23833e12i −0.746074 + 0.935548i
\(495\) −1.95392e10 + 2.45014e10i −0.0146279 + 0.0183429i
\(496\) −1.47660e12 + 1.37008e12i −1.09546 + 1.01643i
\(497\) 1.87647e12 5.78814e11i 1.37955 0.425535i
\(498\) −6.26480e11 1.59625e12i −0.456431 1.16297i
\(499\) −5.84508e11 + 3.98511e11i −0.422025 + 0.287732i −0.755652 0.654973i \(-0.772680\pi\)
0.333627 + 0.942705i \(0.391727\pi\)
\(500\) −3.04384e12 1.46584e12i −2.17800 1.04887i
\(501\) 1.80794e12 + 1.67752e12i 1.28208 + 1.18959i
\(502\) 2.36679e12 3.56737e11i 1.66339 0.250715i
\(503\) −1.23125e11 + 1.64299e12i −0.0857612 + 1.14440i 0.773820 + 0.633405i \(0.218343\pi\)
−0.859582 + 0.510999i \(0.829276\pi\)
\(504\) 2.53259e11 6.45294e11i 0.174835 0.445472i
\(505\) −8.26379e10 3.62060e11i −0.0565416 0.247725i
\(506\) 1.59345e11 + 2.12632e12i 0.108059 + 1.44195i
\(507\) −8.14103e11 2.51117e11i −0.547197 0.168788i
\(508\) −6.83650e12 + 3.29228e12i −4.55456 + 2.19336i
\(509\) 1.17775e12 2.03992e12i 0.777720 1.34705i −0.155534 0.987831i \(-0.549710\pi\)
0.933253 0.359219i \(-0.116957\pi\)
\(510\) −1.27309e12 2.20506e12i −0.833285 1.44329i
\(511\) −2.20492e12 1.50329e12i −1.43054 0.975324i
\(512\) 6.02821e11 2.64113e12i 0.387680 1.69854i
\(513\) 1.35447e12 + 2.04154e11i 0.863459 + 0.130146i
\(514\) −8.52132e11 1.06854e12i −0.538484 0.675238i
\(515\) 4.23768e11 0.265458
\(516\) 1.55741e12 + 4.31451e12i 0.967118 + 2.67921i
\(517\) −1.31354e12 −0.808607
\(518\) 6.30325e11 + 7.90403e11i 0.384663 + 0.482352i
\(519\) −8.12973e11 1.22536e11i −0.491839 0.0741328i
\(520\) −4.23480e11 + 1.85539e12i −0.253991 + 1.11281i
\(521\) 1.30037e12 + 8.86579e11i 0.773211 + 0.527167i 0.884454 0.466627i \(-0.154531\pi\)
−0.111243 + 0.993793i \(0.535483\pi\)
\(522\) −4.46545e10 7.73439e10i −0.0263238 0.0455941i
\(523\) −8.00829e11 + 1.38708e12i −0.468039 + 0.810667i −0.999333 0.0365202i \(-0.988373\pi\)
0.531294 + 0.847188i \(0.321706\pi\)
\(524\) −7.11249e12 + 3.42519e12i −4.12127 + 1.98470i
\(525\) 1.95911e12 + 6.04305e11i 1.12549 + 0.347168i
\(526\) −1.31255e11 1.75147e12i −0.0747617 0.997626i
\(527\) −2.58099e11 1.13080e12i −0.145760 0.638616i
\(528\) 1.22409e12 3.11893e12i 0.685425 1.74643i
\(529\) 1.85498e11 2.47530e12i 0.102989 1.37429i
\(530\) −1.56383e12 + 2.35709e11i −0.860889 + 0.129758i
\(531\) 4.85372e10 + 4.50360e10i 0.0264941 + 0.0245830i
\(532\) 6.36053e12 + 3.06307e12i 3.44263 + 1.65789i
\(533\) 1.15102e12 7.84750e11i 0.617745 0.421171i
\(534\) −2.99988e11 7.64356e11i −0.159650 0.406780i
\(535\) −1.26239e12 + 3.89396e11i −0.666195 + 0.205494i
\(536\) 2.72752e12 2.53077e12i 1.42734 1.32437i
\(537\) −4.63777e11 + 5.81558e11i −0.240672 + 0.301793i
\(538\) 1.71788e12 2.15416e12i 0.884043 1.10855i
\(539\) −9.20067e11 + 8.53697e11i −0.469537 + 0.435667i
\(540\) 2.48571e12 7.66740e11i 1.25799 0.388040i
\(541\) 8.45740e11 + 2.15491e12i 0.424472 + 1.08154i 0.969927 + 0.243397i \(0.0782618\pi\)
−0.545455 + 0.838140i \(0.683643\pi\)
\(542\) −3.25546e11 + 2.21953e11i −0.162037 + 0.110475i
\(543\) −2.58524e12 1.24499e12i −1.27615 0.614562i
\(544\) 9.19273e12 + 8.52961e12i 4.50038 + 4.17575i
\(545\) 6.38138e11 9.61839e10i 0.309835 0.0467001i
\(546\) 3.20884e11 4.28190e12i 0.154519 2.06191i
\(547\) −5.67446e11 + 1.44583e12i −0.271008 + 0.690516i 0.728975 + 0.684541i \(0.239997\pi\)
−0.999982 + 0.00597531i \(0.998098\pi\)
\(548\) −2.90693e11 1.27361e12i −0.137696 0.603287i
\(549\) −2.22434e10 2.96817e11i −0.0104502 0.139448i
\(550\) 1.42182e12 + 4.38573e11i 0.662540 + 0.204366i
\(551\) 5.18467e11 2.49680e11i 0.239629 0.115399i
\(552\) −5.84845e12 + 1.01298e13i −2.68111 + 4.64382i
\(553\) 1.96634e10 + 3.40580e10i 0.00894118 + 0.0154866i
\(554\) −4.16900e12 2.84238e12i −1.88035 1.28200i
\(555\) 5.57883e10 2.44425e11i 0.0249589 0.109352i
\(556\) 1.48442e12 + 2.23741e11i 0.658751 + 0.0992908i
\(557\) −5.47002e11 6.85918e11i −0.240791 0.301942i 0.646721 0.762726i \(-0.276140\pi\)
−0.887512 + 0.460784i \(0.847568\pi\)
\(558\) −1.69236e11 −0.0738992
\(559\) 9.34569e11 + 1.24062e12i 0.404816 + 0.537386i
\(560\) 6.67379e12 2.86765
\(561\) 1.20290e12 + 1.50839e12i 0.512741 + 0.642957i
\(562\) −3.46586e12 5.22395e11i −1.46554 0.220895i
\(563\) −8.69197e11 + 3.80820e12i −0.364612 + 1.59747i 0.376719 + 0.926327i \(0.377052\pi\)
−0.741331 + 0.671140i \(0.765805\pi\)
\(564\) −9.40974e12 6.41545e12i −3.91581 2.66976i
\(565\) −5.91475e11 1.02447e12i −0.244185 0.422941i
\(566\) 3.69839e11 6.40579e11i 0.151474 0.262361i
\(567\) −3.66497e12 + 1.76496e12i −1.48918 + 0.717150i
\(568\) 7.47057e12 + 2.30436e12i 3.01152 + 0.928931i
\(569\) −1.21925e11 1.62698e12i −0.0487627 0.650692i −0.967019 0.254705i \(-0.918022\pi\)
0.918256 0.395987i \(-0.129598\pi\)
\(570\) −5.32665e11 2.33376e12i −0.211357 0.926018i
\(571\) −2.09778e11 + 5.34507e11i −0.0825845 + 0.210422i −0.966201 0.257789i \(-0.917006\pi\)
0.883617 + 0.468211i \(0.155101\pi\)
\(572\) 1.70322e11 2.27279e12i 0.0665256 0.887722i
\(573\) 4.00195e12 6.03197e11i 1.55087 0.233756i
\(574\) −6.22348e12 5.77454e12i −2.39293 2.22031i
\(575\) −2.69299e12 1.29687e12i −1.02737 0.494758i
\(576\) 7.50087e11 5.11400e11i 0.283929 0.193580i
\(577\) 2.61258e11 + 6.65674e11i 0.0981246 + 0.250017i 0.971504 0.237023i \(-0.0761717\pi\)
−0.873379 + 0.487040i \(0.838076\pi\)
\(578\) −7.99483e12 + 2.46608e12i −2.97944 + 0.919034i
\(579\) 3.77895e12 3.50635e12i 1.39739 1.29659i
\(580\) 6.81364e11 8.54404e11i 0.250008 0.313500i
\(581\) −1.61365e12 + 2.02345e12i −0.587511 + 0.736716i
\(582\) 6.09166e12 5.65224e12i 2.20081 2.04205i
\(583\) 1.14510e12 3.53216e11i 0.410520 0.126629i
\(584\) −3.88149e12 9.88987e12i −1.38083 3.51830i
\(585\) −7.60189e10 + 5.18288e10i −0.0268361 + 0.0182966i
\(586\) −1.46280e12 7.04448e11i −0.512444 0.246780i
\(587\) −9.32311e11 8.65058e11i −0.324108 0.300728i 0.501290 0.865279i \(-0.332859\pi\)
−0.825398 + 0.564551i \(0.809049\pi\)
\(588\) −1.07605e13 + 1.62189e12i −3.71224 + 0.559530i
\(589\) 8.14902e10 1.08741e12i 0.0278989 0.372284i
\(590\) −4.04722e11 + 1.03121e12i −0.137506 + 0.350360i
\(591\) 3.85305e11 + 1.68813e12i 0.129915 + 0.569197i
\(592\) 1.73074e11 + 2.30951e12i 0.0579139 + 0.772808i
\(593\) 2.26935e12 + 7.00003e11i 0.753626 + 0.232463i 0.647684 0.761909i \(-0.275738\pi\)
0.105943 + 0.994372i \(0.466214\pi\)
\(594\) −2.42813e12 + 1.16933e12i −0.800264 + 0.385387i
\(595\) −1.92145e12 + 3.32805e12i −0.628497 + 1.08859i
\(596\) 4.59061e12 + 7.95117e12i 1.49026 + 2.58121i
\(597\) 2.18353e12 + 1.48871e12i 0.703518 + 0.479650i
\(598\) −1.39301e12 + 6.10317e12i −0.445449 + 1.95164i
\(599\) −8.27323e11 1.24699e11i −0.262576 0.0395769i 0.0164350 0.999865i \(-0.494768\pi\)
−0.279011 + 0.960288i \(0.590006\pi\)
\(600\) 5.08905e12 + 6.38146e12i 1.60308 + 2.01020i
\(601\) −4.51900e12 −1.41289 −0.706443 0.707770i \(-0.749701\pi\)
−0.706443 + 0.707770i \(0.749701\pi\)
\(602\) 6.10376e12 7.23514e12i 1.89415 2.24524i
\(603\) 1.79882e11 0.0554063
\(604\) −4.12225e12 5.16914e12i −1.26028 1.58034i
\(605\) −1.27048e12 1.91494e11i −0.385539 0.0581106i
\(606\) −7.42305e11 + 3.25225e12i −0.223592 + 0.979619i
\(607\) 1.64563e12 + 1.12197e12i 0.492021 + 0.335454i 0.783781 0.621037i \(-0.213289\pi\)
−0.291760 + 0.956492i \(0.594241\pi\)
\(608\) 5.89487e12 + 1.02102e13i 1.74948 + 3.03018i
\(609\) −7.80028e11 + 1.35105e12i −0.229791 + 0.398009i
\(610\) 4.48676e12 2.16071e12i 1.31204 0.631847i
\(611\) −3.68508e12 1.13670e12i −1.06970 0.329959i
\(612\) 1.08007e11 + 1.44125e12i 0.0311221 + 0.415296i
\(613\) 7.42201e10 + 3.25180e11i 0.0212300 + 0.0930146i 0.984433 0.175760i \(-0.0562384\pi\)
−0.963203 + 0.268775i \(0.913381\pi\)
\(614\) 8.71560e11 2.22070e12i 0.247480 0.630568i
\(615\) −1.57337e11 + 2.09952e12i −0.0443499 + 0.591809i
\(616\) −8.68999e12 + 1.30981e12i −2.43168 + 0.366516i
\(617\) 7.29657e11 + 6.77023e11i 0.202692 + 0.188070i 0.774987 0.631977i \(-0.217756\pi\)
−0.572295 + 0.820048i \(0.693947\pi\)
\(618\) −3.42958e12 1.65160e12i −0.945787 0.455467i
\(619\) 2.55126e12 1.73942e12i 0.698469 0.476208i −0.161291 0.986907i \(-0.551566\pi\)
0.859760 + 0.510699i \(0.170613\pi\)
\(620\) −7.56566e11 1.92770e12i −0.205629 0.523934i
\(621\) 5.17333e12 1.59576e12i 1.39591 0.430582i
\(622\) −2.87189e12 + 2.66473e12i −0.769328 + 0.713832i
\(623\) −7.72689e11 + 9.68922e11i −0.205499 + 0.257687i
\(624\) 6.13313e12 7.69070e12i 1.61939 2.03065i
\(625\) −8.00323e11 + 7.42591e11i −0.209800 + 0.194666i
\(626\) 6.51650e12 2.01007e12i 1.69602 0.523152i
\(627\) 6.62666e11 + 1.68844e12i 0.171234 + 0.436298i
\(628\) −7.23245e12 + 4.93100e12i −1.85552 + 1.26508i
\(629\) −1.20152e12 5.78623e11i −0.306058 0.147390i
\(630\) 4.11030e11 + 3.81380e11i 0.103954 + 0.0964551i
\(631\) −4.36205e12 + 6.57474e11i −1.09537 + 0.165100i −0.671776 0.740755i \(-0.734468\pi\)
−0.423589 + 0.905854i \(0.639230\pi\)
\(632\) −1.17003e10 + 1.56129e11i −0.00291722 + 0.0389276i
\(633\) 2.43023e12 6.19213e12i 0.601632 1.53293i
\(634\) 4.59863e11 + 2.01479e12i 0.113039 + 0.495255i
\(635\) −2.90195e11 3.87239e12i −0.0708286 0.945142i
\(636\) 9.92820e12 + 3.06244e12i 2.40610 + 0.742183i
\(637\) −3.31996e12 + 1.59881e12i −0.798924 + 0.384742i
\(638\) −5.66103e11 + 9.80519e11i −0.135270 + 0.234295i
\(639\) 1.88979e11 + 3.27321e11i 0.0448394 + 0.0776641i
\(640\) 5.75493e12 + 3.92364e12i 1.35591 + 0.924442i
\(641\) 3.65789e11 1.60263e12i 0.0855794 0.374948i −0.913943 0.405842i \(-0.866978\pi\)
0.999523 + 0.0308940i \(0.00983544\pi\)
\(642\) 1.17342e13 + 1.76865e12i 2.72613 + 0.410898i
\(643\) 1.18881e12 + 1.49072e12i 0.274260 + 0.343912i 0.899817 0.436267i \(-0.143700\pi\)
−0.625557 + 0.780178i \(0.715128\pi\)
\(644\) 2.79024e13 6.39228
\(645\) −2.34657e12 6.47452e10i −0.533845 0.0147295i
\(646\) −1.27331e13 −2.87665
\(647\) 2.67581e12 + 3.35536e12i 0.600324 + 0.752783i 0.985428 0.170090i \(-0.0544060\pi\)
−0.385104 + 0.922873i \(0.625835\pi\)
\(648\) −1.60138e13 2.41369e12i −3.56785 0.537768i
\(649\) 1.86785e11 8.18358e11i 0.0413276 0.181068i
\(650\) 3.60931e12 + 2.46079e12i 0.793075 + 0.540710i
\(651\) 1.47812e12 + 2.56017e12i 0.322548 + 0.558669i
\(652\) 9.54051e12 1.65247e13i 2.06756 3.58111i
\(653\) 3.48846e12 1.67996e12i 0.750801 0.361567i −0.0190262 0.999819i \(-0.506057\pi\)
0.769827 + 0.638252i \(0.220342\pi\)
\(654\) −5.53936e12 1.70867e12i −1.18402 0.365222i
\(655\) −3.01910e11 4.02872e12i −0.0640903 0.855226i
\(656\) −4.32782e12 1.89614e13i −0.912435 3.99764i
\(657\) 1.87652e11 4.78128e11i 0.0392924 0.100115i
\(658\) −1.75631e12 + 2.34363e13i −0.365246 + 4.87386i
\(659\) 5.72809e12 8.63370e11i 1.18311 0.178325i 0.472125 0.881532i \(-0.343487\pi\)
0.710986 + 0.703207i \(0.248249\pi\)
\(660\) 2.52505e12 + 2.34290e12i 0.517991 + 0.480625i
\(661\) −2.17701e12 1.04839e12i −0.443561 0.213608i 0.198753 0.980050i \(-0.436311\pi\)
−0.642313 + 0.766442i \(0.722025\pi\)
\(662\) 7.94706e12 5.41822e12i 1.60822 1.09647i
\(663\) 2.06937e12 + 5.27268e12i 0.415937 + 1.05979i
\(664\) −9.84590e12 + 3.03706e12i −1.96562 + 0.606313i
\(665\) −2.64843e12 + 2.45739e12i −0.525160 + 0.487277i
\(666\) −1.21319e11 + 1.52130e11i −0.0238944 + 0.0299627i
\(667\) 1.41807e12 1.77821e12i 0.277417 0.347870i
\(668\) 1.71699e13 1.59313e13i 3.33636 3.09569i
\(669\) −3.05891e12 + 9.43548e11i −0.590404 + 0.182115i
\(670\) 1.09952e12 + 2.80153e12i 0.210798 + 0.537104i
\(671\) −3.11775e12 + 2.12564e12i −0.593731 + 0.404799i
\(672\) −2.87967e13 1.38678e13i −5.44730 2.62328i
\(673\) −7.59225e12 7.04458e12i −1.42660 1.32369i −0.870127 0.492828i \(-0.835963\pi\)
−0.556475 0.830865i \(-0.687846\pi\)
\(674\) −7.03664e12 + 1.06060e12i −1.31340 + 0.197963i
\(675\) 2.82318e11 3.76727e12i 0.0523445 0.698489i
\(676\) −2.95595e12 + 7.53164e12i −0.544424 + 1.38717i
\(677\) 1.15606e10 + 5.06503e10i 0.00211510 + 0.00926686i 0.975974 0.217885i \(-0.0699158\pi\)
−0.973859 + 0.227152i \(0.927059\pi\)
\(678\) 7.94082e11 + 1.05963e13i 0.144322 + 1.92584i
\(679\) −1.19849e13 3.69686e12i −2.16382 0.667451i
\(680\) −1.37842e13 + 6.63812e12i −2.47225 + 1.19057i
\(681\) 1.55333e12 2.69045e12i 0.276759 0.479361i
\(682\) 1.07274e12 + 1.85804e12i 0.189874 + 0.328871i
\(683\) 6.41035e12 + 4.37050e12i 1.12717 + 0.768490i 0.975513 0.219944i \(-0.0705873\pi\)
0.151655 + 0.988433i \(0.451540\pi\)
\(684\) −3.02357e11 + 1.32471e12i −0.0528163 + 0.231403i
\(685\) 6.61084e11 + 9.96424e10i 0.114723 + 0.0172916i
\(686\) 3.37807e12 + 4.23597e12i 0.582385 + 0.730288i
\(687\) −4.25407e12 −0.728616
\(688\) 2.08901e13 5.81784e12i 3.55462 0.989952i
\(689\) 3.51818e12 0.594746
\(690\) −5.89891e12 7.39700e12i −0.990720 1.24232i
\(691\) −1.99444e10 3.00614e9i −0.00332790 0.000501601i 0.147378 0.989080i \(-0.452917\pi\)
−0.150706 + 0.988579i \(0.548155\pi\)
\(692\) −1.73743e12 + 7.61220e12i −0.288026 + 1.26192i
\(693\) −3.51040e11 2.39335e11i −0.0578172 0.0394191i
\(694\) 6.48934e12 + 1.12399e13i 1.06190 + 1.83926i
\(695\) −3.84129e11 + 6.65331e11i −0.0624519 + 0.108170i
\(696\) −5.59580e12 + 2.69479e12i −0.903900 + 0.435295i
\(697\) 1.07016e13 + 3.30101e12i 1.71752 + 0.529785i
\(698\) −1.18789e11 1.58513e12i −0.0189421 0.252765i
\(699\) −2.35276e12 1.03081e13i −0.372760 1.63317i
\(700\) 7.11339e12 1.81246e13i 1.11979 2.85317i
\(701\) −3.12219e11 + 4.16627e12i −0.0488347 + 0.651653i 0.918054 + 0.396455i \(0.129760\pi\)
−0.966889 + 0.255198i \(0.917859\pi\)
\(702\) −7.82390e12 + 1.17926e12i −1.21592 + 0.183271i
\(703\) −9.19077e11 8.52778e11i −0.141923 0.131685i
\(704\) −1.03692e13 4.99355e12i −1.59100 0.766183i
\(705\) 4.81558e12 3.28321e12i 0.734172 0.500550i
\(706\) −8.58003e12 2.18616e13i −1.29977 3.31177i
\(707\) 4.81112e12 1.48403e12i 0.724200 0.223386i
\(708\) 5.33498e12 4.95014e12i 0.797964 0.740402i
\(709\) 3.87417e11 4.85806e11i 0.0575799 0.0722029i −0.752208 0.658926i \(-0.771011\pi\)
0.809787 + 0.586723i \(0.199582\pi\)
\(710\) −3.94267e12 + 4.94395e12i −0.582275 + 0.730150i
\(711\) −5.54867e9 + 5.14841e9i −0.000814283 + 0.000755544i
\(712\) −4.71467e12 + 1.45428e12i −0.687530 + 0.212075i
\(713\) −1.57459e12 4.01198e12i −0.228173 0.581375i
\(714\) 2.85212e13 1.94455e13i 4.10702 2.80012i
\(715\) 1.05089e12 + 5.06081e11i 0.150376 + 0.0724173i
\(716\) 5.17843e12 + 4.80488e12i 0.736359 + 0.683242i
\(717\) −3.52237e12 + 5.30912e11i −0.497735 + 0.0750215i
\(718\) −5.48887e11 + 7.32439e12i −0.0770767 + 1.02852i
\(719\) −5.07355e12 + 1.29272e13i −0.707998 + 1.80395i −0.123854 + 0.992300i \(0.539526\pi\)
−0.584144 + 0.811650i \(0.698570\pi\)
\(720\) 2.85831e11 + 1.25231e12i 0.0396381 + 0.173666i
\(721\) 4.29336e11 + 5.72910e12i 0.0591683 + 0.789546i
\(722\) 2.02271e12 + 6.23923e11i 0.277023 + 0.0854503i
\(723\) 1.65519e12 7.97097e11i 0.225281 0.108490i
\(724\) −1.36253e13 + 2.35997e13i −1.84298 + 3.19214i
\(725\) −7.93553e11 1.37447e12i −0.106673 0.184763i
\(726\) 9.53573e12 + 6.50135e12i 1.27391 + 0.868538i
\(727\) 2.03938e12 8.93513e12i 0.270766 1.18630i −0.638345 0.769750i \(-0.720381\pi\)
0.909111 0.416554i \(-0.136762\pi\)
\(728\) −2.55128e13 3.84543e12i −3.36641 0.507404i
\(729\) 4.22380e12 + 5.29648e12i 0.553898 + 0.694566i
\(730\) 8.59353e12 1.12000
\(731\) −3.11327e12 + 1.20924e13i −0.403263 + 1.56633i
\(732\) −3.27162e13 −4.21175
\(733\) 5.82657e12 + 7.30629e12i 0.745495 + 0.934822i 0.999475 0.0323879i \(-0.0103112\pi\)
−0.253980 + 0.967209i \(0.581740\pi\)
\(734\) 9.21322e12 + 1.38867e12i 1.17160 + 0.176590i
\(735\) 1.23924e12 5.42944e12i 0.156625 0.686218i
\(736\) 3.85007e13 + 2.62493e13i 4.83636 + 3.29737i
\(737\) −1.14022e12 1.97491e12i −0.142359 0.246572i
\(738\) 8.17023e11 1.41513e12i 0.101387 0.175607i
\(739\) −7.21150e12 + 3.47288e12i −0.889459 + 0.428341i −0.822070 0.569386i \(-0.807181\pi\)
−0.0673884 + 0.997727i \(0.521467\pi\)
\(740\) −2.27520e12 7.01806e11i −0.278918 0.0860349i
\(741\) 3.97952e11 + 5.31030e12i 0.0484896 + 0.647048i
\(742\) −4.77102e12 2.09032e13i −0.577822 2.53160i
\(743\) 4.64628e12 1.18385e13i 0.559314 1.42511i −0.319335 0.947642i \(-0.603460\pi\)
0.878649 0.477468i \(-0.158445\pi\)
\(744\) −8.79521e11 + 1.17364e13i −0.105237 + 1.40429i
\(745\) −4.64615e12 + 7.00295e11i −0.552574 + 0.0832871i
\(746\) 8.30713e12 + 7.70789e12i 0.982033 + 0.911194i
\(747\) −4.48803e11 2.16132e11i −0.0527367 0.0253966i
\(748\) 1.51388e13 1.03214e13i 1.76821 1.20554i
\(749\) −6.54337e12 1.66722e13i −0.759685 1.93565i
\(750\) −1.48406e13 + 4.57771e12i −1.71267 + 0.528290i
\(751\) 1.05685e13 9.80616e12i 1.21237