Properties

Label 43.10.g.a.24.17
Level 43
Weight 10
Character 43.24
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 24.17
Character \(\chi\) \(=\) 43.24
Dual form 43.10.g.a.9.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.815943 - 1.02316i) q^{2} +(-202.451 + 30.5146i) q^{3} +(113.550 + 497.493i) q^{4} +(626.829 - 427.365i) q^{5} +(-133.967 + 232.038i) q^{6} +(-4732.25 - 8196.49i) q^{7} +(1205.35 + 580.466i) q^{8} +(21246.7 - 6553.73i) q^{9} +O(q^{10})\) \(q+(0.815943 - 1.02316i) q^{2} +(-202.451 + 30.5146i) q^{3} +(113.550 + 497.493i) q^{4} +(626.829 - 427.365i) q^{5} +(-133.967 + 232.038i) q^{6} +(-4732.25 - 8196.49i) q^{7} +(1205.35 + 580.466i) q^{8} +(21246.7 - 6553.73i) q^{9} +(74.1941 - 990.052i) q^{10} +(1333.44 - 5842.19i) q^{11} +(-38169.0 - 97253.0i) q^{12} +(-1711.08 - 22832.8i) q^{13} +(-12247.6 - 1846.02i) q^{14} +(-113861. + 105648. i) q^{15} +(-233816. + 112600. i) q^{16} +(-168970. - 115202. i) q^{17} +(10630.6 - 27086.2i) q^{18} +(747105. + 230451. i) q^{19} +(283787. + 263316. i) q^{20} +(1.20816e6 + 1.51498e6i) q^{21} +(-4889.49 - 6131.22i) q^{22} +(729748. + 677107. i) q^{23} +(-261737. - 80735.1i) q^{24} +(-503283. + 1.28234e6i) q^{25} +(-24757.7 - 16879.5i) q^{26} +(-470652. + 226654. i) q^{27} +(3.54036e6 - 3.28497e6i) q^{28} +(754579. + 113734. i) q^{29} +(15190.3 + 202701. i) q^{30} +(1.84902e6 + 4.71122e6i) q^{31} +(-227994. + 998906. i) q^{32} +(-91684.6 + 1.22345e6i) q^{33} +(-255740. + 78885.2i) q^{34} +(-6.46920e6 - 3.11540e6i) q^{35} +(5.67299e6 + 9.82590e6i) q^{36} +(4.00091e6 - 6.92979e6i) q^{37} +(845384. - 576373. i) q^{38} +(1.04314e6 + 4.57030e6i) q^{39} +(1.00362e6 - 151271. i) q^{40} +(-1.38820e7 + 1.74074e7i) q^{41} +2.53586e6 q^{42} +(1.61899e7 + 1.55074e7i) q^{43} +3.05786e6 q^{44} +(1.05172e7 - 1.31881e7i) q^{45} +(1.28822e6 - 194168. i) q^{46} +(7.15556e6 + 3.13506e7i) q^{47} +(4.39003e7 - 2.99307e7i) q^{48} +(-2.46115e7 + 4.26284e7i) q^{49} +(901393. + 1.56126e6i) q^{50} +(3.77234e7 + 1.81666e7i) q^{51} +(1.11649e7 - 3.44390e6i) q^{52} +(5.21800e6 - 6.96294e7i) q^{53} +(-152122. + 666490. i) q^{54} +(-1.66091e6 - 4.23192e6i) q^{55} +(-946230. - 1.26266e7i) q^{56} +(-1.58284e8 - 2.38575e7i) q^{57} +(732062. - 679254. i) q^{58} +(-3.53337e7 + 1.70158e7i) q^{59} +(-6.54879e7 - 4.46489e7i) q^{60} +(-2.80187e7 + 7.13905e7i) q^{61} +(6.32902e6 + 1.95224e6i) q^{62} +(-1.54262e8 - 1.43134e8i) q^{63} +(-8.20086e7 - 1.02835e8i) q^{64} +(-1.08305e7 - 1.35810e7i) q^{65} +(1.17697e6 + 1.09207e6i) q^{66} +(1.84975e8 + 5.70573e7i) q^{67} +(3.81256e7 - 9.71425e7i) q^{68} +(-1.68400e8 - 1.14813e8i) q^{69} +(-8.46606e6 + 4.07704e6i) q^{70} +(2.48055e8 - 2.30162e8i) q^{71} +(2.94139e7 + 4.43343e6i) q^{72} +(-6.76830e6 - 9.03167e7i) q^{73} +(-3.82576e6 - 9.74789e6i) q^{74} +(6.27599e7 - 2.74969e8i) q^{75} +(-2.98146e7 + 3.97848e8i) q^{76} +(-5.41957e7 + 1.67172e7i) q^{77} +(5.52729e6 + 2.66180e6i) q^{78} +(5.17039e7 + 8.95537e7i) q^{79} +(-9.84415e7 + 1.70506e8i) q^{80} +(-2.73229e8 + 1.86284e8i) q^{81} +(6.48370e6 + 2.84070e7i) q^{82} +(7.18940e8 - 1.08363e8i) q^{83} +(-6.16509e8 + 7.73078e8i) q^{84} -1.55148e8 q^{85} +(2.90766e7 - 3.91172e6i) q^{86} -1.56236e8 q^{87} +(4.99846e6 - 6.26787e6i) q^{88} +(1.11455e9 - 1.67992e8i) q^{89} +(-4.91215e6 - 2.15215e7i) q^{90} +(-1.79051e8 + 1.22075e8i) q^{91} +(-2.53994e8 + 4.39930e8i) q^{92} +(-5.18096e8 - 8.97368e8i) q^{93} +(3.79152e7 + 1.82590e7i) q^{94} +(5.66794e8 - 1.74833e8i) q^{95} +(1.56764e7 - 2.09186e8i) q^{96} +(-7.62559e7 + 3.34099e8i) q^{97} +(2.35341e7 + 5.99639e7i) q^{98} +(-9.95694e6 - 1.32866e8i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.815943 1.02316i 0.0360599 0.0452177i −0.763475 0.645838i \(-0.776508\pi\)
0.799534 + 0.600620i \(0.205080\pi\)
\(3\) −202.451 + 30.5146i −1.44303 + 0.217501i −0.823429 0.567419i \(-0.807942\pi\)
−0.619596 + 0.784921i \(0.712704\pi\)
\(4\) 113.550 + 497.493i 0.221777 + 0.971667i
\(5\) 626.829 427.365i 0.448522 0.305797i −0.317912 0.948120i \(-0.602982\pi\)
0.766434 + 0.642323i \(0.222029\pi\)
\(6\) −133.967 + 232.038i −0.0422005 + 0.0730934i
\(7\) −4732.25 8196.49i −0.744949 1.29029i −0.950219 0.311584i \(-0.899141\pi\)
0.205270 0.978705i \(-0.434193\pi\)
\(8\) 1205.35 + 580.466i 0.104042 + 0.0501039i
\(9\) 21246.7 6553.73i 1.07944 0.332964i
\(10\) 74.1941 990.052i 0.00234622 0.0313082i
\(11\) 1333.44 5842.19i 0.0274604 0.120312i −0.959340 0.282253i \(-0.908918\pi\)
0.986800 + 0.161941i \(0.0517754\pi\)
\(12\) −38169.0 97253.0i −0.531368 1.35390i
\(13\) −1711.08 22832.8i −0.0166159 0.221724i −0.999330 0.0365953i \(-0.988349\pi\)
0.982714 0.185129i \(-0.0592703\pi\)
\(14\) −12247.6 1846.02i −0.0852067 0.0128428i
\(15\) −113861. + 105648.i −0.580718 + 0.538827i
\(16\) −233816. + 112600.i −0.891938 + 0.429535i
\(17\) −168970. 115202.i −0.490670 0.334533i 0.292579 0.956241i \(-0.405487\pi\)
−0.783249 + 0.621708i \(0.786439\pi\)
\(18\) 10630.6 27086.2i 0.0238688 0.0608166i
\(19\) 747105. + 230451.i 1.31520 + 0.405684i 0.871457 0.490472i \(-0.163175\pi\)
0.443739 + 0.896156i \(0.353652\pi\)
\(20\) 283787. + 263316.i 0.396605 + 0.367995i
\(21\) 1.20816e6 + 1.51498e6i 1.35562 + 1.69989i
\(22\) −4889.49 6131.22i −0.00445001 0.00558014i
\(23\) 729748. + 677107.i 0.543748 + 0.504524i 0.903537 0.428509i \(-0.140961\pi\)
−0.359789 + 0.933034i \(0.617151\pi\)
\(24\) −261737. 80735.1i −0.161033 0.0496720i
\(25\) −503283. + 1.28234e6i −0.257681 + 0.656560i
\(26\) −24757.7 16879.5i −0.0106250 0.00724403i
\(27\) −470652. + 226654.i −0.170437 + 0.0820780i
\(28\) 3.54036e6 3.28497e6i 1.08852 1.01000i
\(29\) 754579. + 113734.i 0.198113 + 0.0298608i 0.247349 0.968926i \(-0.420441\pi\)
−0.0492359 + 0.998787i \(0.515679\pi\)
\(30\) 15190.3 + 202701.i 0.00342390 + 0.0456888i
\(31\) 1.84902e6 + 4.71122e6i 0.359595 + 0.916232i 0.990140 + 0.140080i \(0.0447359\pi\)
−0.630546 + 0.776152i \(0.717169\pi\)
\(32\) −227994. + 998906.i −0.0384369 + 0.168403i
\(33\) −91684.6 + 1.22345e6i −0.0134581 + 0.179586i
\(34\) −255740. + 78885.2i −0.0328203 + 0.0101237i
\(35\) −6.46920e6 3.11540e6i −0.728693 0.350920i
\(36\) 5.67299e6 + 9.82590e6i 0.562925 + 0.975015i
\(37\) 4.00091e6 6.92979e6i 0.350955 0.607872i −0.635462 0.772132i \(-0.719190\pi\)
0.986417 + 0.164260i \(0.0525237\pi\)
\(38\) 845384. 576373.i 0.0657700 0.0448412i
\(39\) 1.04314e6 + 4.57030e6i 0.0722025 + 0.316340i
\(40\) 1.00362e6 151271.i 0.0619868 0.00934300i
\(41\) −1.38820e7 + 1.74074e7i −0.767227 + 0.962072i −0.999945 0.0104722i \(-0.996667\pi\)
0.232718 + 0.972544i \(0.425238\pi\)
\(42\) 2.53586e6 0.125749
\(43\) 1.61899e7 + 1.55074e7i 0.722165 + 0.691721i
\(44\) 3.05786e6 0.122993
\(45\) 1.05172e7 1.31881e7i 0.382334 0.479432i
\(46\) 1.28822e6 194168.i 0.0424210 0.00639393i
\(47\) 7.15556e6 + 3.13506e7i 0.213896 + 0.937141i 0.961890 + 0.273435i \(0.0881600\pi\)
−0.747994 + 0.663705i \(0.768983\pi\)
\(48\) 4.39003e7 2.99307e7i 1.19366 0.813827i
\(49\) −2.46115e7 + 4.26284e7i −0.609897 + 1.05637i
\(50\) 901393. + 1.56126e6i 0.0203962 + 0.0353273i
\(51\) 3.77234e7 + 1.81666e7i 0.780810 + 0.376018i
\(52\) 1.11649e7 3.44390e6i 0.211757 0.0653184i
\(53\) 5.21800e6 6.96294e7i 0.0908371 1.21214i −0.746476 0.665412i \(-0.768256\pi\)
0.837313 0.546724i \(-0.184125\pi\)
\(54\) −152122. + 666490.i −0.00243456 + 0.0106665i
\(55\) −1.66091e6 4.23192e6i −0.0244745 0.0623599i
\(56\) −946230. 1.26266e7i −0.0128573 0.171569i
\(57\) −1.58284e8 2.38575e7i −1.98610 0.299356i
\(58\) 732062. 679254.i 0.00849419 0.00788145i
\(59\) −3.53337e7 + 1.70158e7i −0.379625 + 0.182818i −0.613958 0.789339i \(-0.710424\pi\)
0.234333 + 0.972156i \(0.424709\pi\)
\(60\) −6.54879e7 4.46489e7i −0.652350 0.444765i
\(61\) −2.80187e7 + 7.13905e7i −0.259098 + 0.660171i −0.999934 0.0115154i \(-0.996334\pi\)
0.740836 + 0.671686i \(0.234430\pi\)
\(62\) 6.32902e6 + 1.95224e6i 0.0543969 + 0.0167792i
\(63\) −1.54262e8 1.43134e8i −1.23375 1.14475i
\(64\) −8.20086e7 1.02835e8i −0.611011 0.766184i
\(65\) −1.08305e7 1.35810e7i −0.0752553 0.0943672i
\(66\) 1.17697e6 + 1.09207e6i 0.00763517 + 0.00708440i
\(67\) 1.84975e8 + 5.70573e7i 1.12144 + 0.345919i 0.799396 0.600805i \(-0.205153\pi\)
0.322047 + 0.946724i \(0.395629\pi\)
\(68\) 3.81256e7 9.71425e7i 0.216236 0.550959i
\(69\) −1.68400e8 1.14813e8i −0.894377 0.609776i
\(70\) −8.46606e6 + 4.07704e6i −0.0421444 + 0.0202957i
\(71\) 2.48055e8 2.30162e8i 1.15847 1.07491i 0.162369 0.986730i \(-0.448087\pi\)
0.996105 0.0881763i \(-0.0281039\pi\)
\(72\) 2.94139e7 + 4.43343e6i 0.128990 + 0.0194421i
\(73\) −6.76830e6 9.03167e7i −0.0278950 0.372233i −0.993629 0.112700i \(-0.964050\pi\)
0.965734 0.259534i \(-0.0835688\pi\)
\(74\) −3.82576e6 9.74789e6i −0.0148312 0.0377892i
\(75\) 6.27599e7 2.74969e8i 0.229037 1.00348i
\(76\) −2.98146e7 + 3.97848e8i −0.102510 + 1.36790i
\(77\) −5.41957e7 + 1.67172e7i −0.175694 + 0.0541944i
\(78\) 5.52729e6 + 2.66180e6i 0.0169078 + 0.00814236i
\(79\) 5.17039e7 + 8.95537e7i 0.149349 + 0.258679i 0.930987 0.365053i \(-0.118949\pi\)
−0.781638 + 0.623732i \(0.785616\pi\)
\(80\) −9.84415e7 + 1.70506e8i −0.268703 + 0.465408i
\(81\) −2.73229e8 + 1.86284e8i −0.705251 + 0.480832i
\(82\) 6.48370e6 + 2.84070e7i 0.0158366 + 0.0693845i
\(83\) 7.18940e8 1.08363e8i 1.66280 0.250627i 0.750717 0.660624i \(-0.229708\pi\)
0.912087 + 0.409997i \(0.134470\pi\)
\(84\) −6.16509e8 + 7.73078e8i −1.35108 + 1.69421i
\(85\) −1.55148e8 −0.322375
\(86\) 2.90766e7 3.91172e6i 0.0573193 0.00771126i
\(87\) −1.56236e8 −0.292377
\(88\) 4.99846e6 6.26787e6i 0.00888514 0.0111416i
\(89\) 1.11455e9 1.67992e8i 1.88298 0.283813i 0.895924 0.444207i \(-0.146515\pi\)
0.987053 + 0.160394i \(0.0512764\pi\)
\(90\) −4.91215e6 2.15215e7i −0.00789188 0.0345766i
\(91\) −1.79051e8 + 1.22075e8i −0.273710 + 0.186613i
\(92\) −2.53994e8 + 4.39930e8i −0.369639 + 0.640234i
\(93\) −5.18096e8 8.97368e8i −0.718185 1.24393i
\(94\) 3.79152e7 + 1.82590e7i 0.0500885 + 0.0241213i
\(95\) 5.66794e8 1.74833e8i 0.713952 0.220225i
\(96\) 1.56764e7 2.09186e8i 0.0188376 0.251370i
\(97\) −7.62559e7 + 3.34099e8i −0.0874583 + 0.383180i −0.999646 0.0265920i \(-0.991535\pi\)
0.912188 + 0.409772i \(0.134392\pi\)
\(98\) 2.35341e7 + 5.99639e7i 0.0257739 + 0.0656709i
\(99\) −9.95694e6 1.32866e8i −0.0104176 0.139013i
\(100\) −6.95105e8 1.04770e8i −0.695105 0.104770i
\(101\) 1.79527e8 1.66577e8i 0.171666 0.159282i −0.589661 0.807651i \(-0.700739\pi\)
0.761327 + 0.648368i \(0.224548\pi\)
\(102\) 4.93676e7 2.37742e7i 0.0451587 0.0217473i
\(103\) 1.18141e9 + 8.05471e8i 1.03427 + 0.705151i 0.956474 0.291818i \(-0.0942603\pi\)
0.0777931 + 0.996970i \(0.475213\pi\)
\(104\) 1.11912e7 2.85147e7i 0.00938051 0.0239012i
\(105\) 1.40476e9 + 4.33311e8i 1.12785 + 0.347895i
\(106\) −6.69845e7 6.21525e7i −0.0515345 0.0478170i
\(107\) 7.88849e7 + 9.89185e7i 0.0581791 + 0.0729542i 0.810070 0.586334i \(-0.199429\pi\)
−0.751891 + 0.659288i \(0.770858\pi\)
\(108\) −1.66201e8 2.08410e8i −0.117551 0.147405i
\(109\) −8.28908e8 7.69114e8i −0.562454 0.521881i 0.346901 0.937902i \(-0.387234\pi\)
−0.909355 + 0.416021i \(0.863424\pi\)
\(110\) −5.68514e6 1.75363e6i −0.00370232 0.00114201i
\(111\) −5.98529e8 + 1.52503e9i −0.374224 + 0.953508i
\(112\) 2.02940e9 + 1.38362e9i 1.21867 + 0.830876i
\(113\) −4.54815e8 + 2.19027e8i −0.262411 + 0.126370i −0.560464 0.828179i \(-0.689377\pi\)
0.298053 + 0.954549i \(0.403663\pi\)
\(114\) −1.53561e8 + 1.42484e8i −0.0851548 + 0.0790121i
\(115\) 7.46799e8 + 1.12562e8i 0.398165 + 0.0600138i
\(116\) 2.91000e7 + 3.88312e8i 0.0149222 + 0.199123i
\(117\) −1.85994e8 4.73906e8i −0.0917622 0.233806i
\(118\) −1.14204e7 + 5.00360e7i −0.00542265 + 0.0237582i
\(119\) −1.44643e8 + 1.93012e9i −0.0661204 + 0.882316i
\(120\) −1.98568e8 + 6.12500e7i −0.0874163 + 0.0269644i
\(121\) 2.09208e9 + 1.00749e9i 0.887248 + 0.427276i
\(122\) 5.01823e7 + 8.69182e7i 0.0205084 + 0.0355215i
\(123\) 2.27924e9 3.94775e9i 0.897876 1.55517i
\(124\) −2.13384e9 + 1.45483e9i −0.810523 + 0.552605i
\(125\) 5.62275e8 + 2.46349e9i 0.205994 + 0.902518i
\(126\) −2.72318e8 + 4.10454e7i −0.0962520 + 0.0145077i
\(127\) 1.01173e9 1.26867e9i 0.345102 0.432745i −0.578743 0.815510i \(-0.696457\pi\)
0.923846 + 0.382765i \(0.125028\pi\)
\(128\) −6.96724e8 −0.229412
\(129\) −3.75086e9 2.64546e9i −1.19255 0.841099i
\(130\) −2.27326e7 −0.00698077
\(131\) −3.41434e9 + 4.28145e9i −1.01294 + 1.27019i −0.0504975 + 0.998724i \(0.516081\pi\)
−0.962447 + 0.271469i \(0.912491\pi\)
\(132\) −6.19067e8 + 9.33094e7i −0.177482 + 0.0267512i
\(133\) −1.64659e9 7.21420e9i −0.456304 1.99920i
\(134\) 2.09308e8 1.42704e8i 0.0560808 0.0382353i
\(135\) −1.98154e8 + 3.43213e8i −0.0513454 + 0.0889329i
\(136\) −1.36797e8 2.36940e8i −0.0342888 0.0593899i
\(137\) −2.20609e9 1.06240e9i −0.535033 0.257658i 0.146800 0.989166i \(-0.453103\pi\)
−0.681833 + 0.731508i \(0.738817\pi\)
\(138\) −2.54877e8 + 7.86191e7i −0.0598238 + 0.0184532i
\(139\) 3.08984e8 4.12311e9i 0.0702052 0.936824i −0.845241 0.534385i \(-0.820543\pi\)
0.915447 0.402439i \(-0.131838\pi\)
\(140\) 8.15317e8 3.57214e9i 0.179370 0.785872i
\(141\) −2.40530e9 6.12860e9i −0.512487 1.30580i
\(142\) −3.30933e7 4.41599e8i −0.00683034 0.0911446i
\(143\) −1.35675e8 2.04497e7i −0.0271324 0.00408955i
\(144\) −4.22986e9 + 3.92474e9i −0.819776 + 0.760641i
\(145\) 5.21598e8 2.51188e8i 0.0979895 0.0471893i
\(146\) −9.79310e7 6.67682e7i −0.0178374 0.0121614i
\(147\) 3.68184e9 9.38118e9i 0.650335 1.65703i
\(148\) 3.90183e9 + 1.20355e9i 0.668483 + 0.206200i
\(149\) 3.77501e9 + 3.50270e9i 0.627451 + 0.582190i 0.928460 0.371432i \(-0.121133\pi\)
−0.301009 + 0.953621i \(0.597323\pi\)
\(150\) −2.30129e8 2.88573e8i −0.0371159 0.0465419i
\(151\) −1.48788e8 1.86574e8i −0.0232901 0.0292049i 0.770050 0.637983i \(-0.220231\pi\)
−0.793340 + 0.608779i \(0.791660\pi\)
\(152\) 7.66754e8 + 7.11444e8i 0.116509 + 0.108105i
\(153\) −4.34505e9 1.34027e9i −0.641037 0.197734i
\(154\) −2.71163e7 + 6.90911e7i −0.00388496 + 0.00989872i
\(155\) 3.17242e9 + 2.16292e9i 0.441467 + 0.300987i
\(156\) −2.15525e9 + 1.03791e9i −0.291364 + 0.140314i
\(157\) −2.69436e9 + 2.50000e9i −0.353921 + 0.328391i −0.837017 0.547176i \(-0.815703\pi\)
0.483096 + 0.875567i \(0.339512\pi\)
\(158\) 1.33815e8 + 2.01694e7i 0.0170824 + 0.00257476i
\(159\) 1.06832e9 + 1.42558e10i 0.132561 + 1.76890i
\(160\) 2.83984e8 + 7.23579e8i 0.0342574 + 0.0872863i
\(161\) 2.09656e9 9.18562e9i 0.245918 1.07744i
\(162\) −3.23405e7 + 4.31554e8i −0.00368917 + 0.0492286i
\(163\) −1.19191e10 + 3.67655e9i −1.32251 + 0.407940i −0.874038 0.485857i \(-0.838508\pi\)
−0.448472 + 0.893797i \(0.648031\pi\)
\(164\) −1.02364e10 4.92958e9i −1.10497 0.532124i
\(165\) 4.65387e8 + 8.06074e8i 0.0488806 + 0.0846637i
\(166\) 4.75741e8 8.24008e8i 0.0486278 0.0842258i
\(167\) −8.54964e9 + 5.82905e9i −0.850597 + 0.579927i −0.908259 0.418409i \(-0.862588\pi\)
0.0576620 + 0.998336i \(0.481635\pi\)
\(168\) 5.76859e8 + 2.52738e9i 0.0558699 + 0.244782i
\(169\) 9.96765e9 1.50238e9i 0.939945 0.141674i
\(170\) −1.26592e8 + 1.58742e8i −0.0116248 + 0.0145771i
\(171\) 1.73838e10 1.55476
\(172\) −5.87647e9 + 9.81523e9i −0.511963 + 0.855111i
\(173\) 6.93322e9 0.588474 0.294237 0.955732i \(-0.404934\pi\)
0.294237 + 0.955732i \(0.404934\pi\)
\(174\) −1.27479e8 + 1.59854e8i −0.0105431 + 0.0132206i
\(175\) 1.28924e10 1.94321e9i 1.03911 0.156621i
\(176\) 3.46050e8 + 1.51614e9i 0.0271852 + 0.119106i
\(177\) 6.63411e9 4.52306e9i 0.508046 0.346380i
\(178\) 7.37528e8 1.27744e9i 0.0550666 0.0953782i
\(179\) 7.02970e9 + 1.21758e10i 0.511798 + 0.886459i 0.999906 + 0.0136766i \(0.00435353\pi\)
−0.488109 + 0.872783i \(0.662313\pi\)
\(180\) 7.75524e9 + 3.73472e9i 0.550641 + 0.265175i
\(181\) −1.42908e10 + 4.40812e9i −0.989696 + 0.305281i −0.747002 0.664822i \(-0.768507\pi\)
−0.242694 + 0.970103i \(0.578031\pi\)
\(182\) −2.11933e7 + 2.82805e8i −0.00143178 + 0.0191058i
\(183\) 3.49396e9 1.53081e10i 0.230297 1.00900i
\(184\) 4.86564e8 + 1.23975e9i 0.0312939 + 0.0797356i
\(185\) −4.53658e8 6.05364e9i −0.0284745 0.379965i
\(186\) −1.34089e9 2.02106e8i −0.0821456 0.0123815i
\(187\) −8.98342e8 + 8.33540e8i −0.0537223 + 0.0498470i
\(188\) −1.47842e10 + 7.11969e9i −0.863151 + 0.415672i
\(189\) 4.08501e9 + 2.78511e9i 0.232871 + 0.158769i
\(190\) 2.83590e8 7.22575e8i 0.0157870 0.0402246i
\(191\) 3.22635e10 + 9.95196e9i 1.75413 + 0.541076i 0.994066 0.108778i \(-0.0346936\pi\)
0.760059 + 0.649854i \(0.225170\pi\)
\(192\) 1.97407e10 + 1.83167e10i 1.04835 + 0.972727i
\(193\) −1.53536e10 1.92528e10i −0.796530 0.998817i −0.999806 0.0196958i \(-0.993730\pi\)
0.203276 0.979122i \(-0.434841\pi\)
\(194\) 2.79616e8 + 3.50628e8i 0.0141728 + 0.0177721i
\(195\) 2.60706e9 + 2.41899e9i 0.129120 + 0.119806i
\(196\) −2.40020e10 7.40364e9i −1.16170 0.358338i
\(197\) 1.00345e10 2.55674e10i 0.474675 1.20945i −0.470357 0.882476i \(-0.655875\pi\)
0.945032 0.326977i \(-0.106030\pi\)
\(198\) −1.44068e8 9.82237e7i −0.00666152 0.00454175i
\(199\) −2.23866e9 + 1.07808e9i −0.101193 + 0.0487319i −0.483795 0.875181i \(-0.660742\pi\)
0.382603 + 0.923913i \(0.375028\pi\)
\(200\) −1.35099e9 + 1.25354e9i −0.0597059 + 0.0553989i
\(201\) −3.91895e10 5.90686e9i −1.69351 0.255255i
\(202\) −2.39508e7 3.19602e8i −0.00101214 0.0135060i
\(203\) −2.63863e9 6.72312e9i −0.109055 0.277868i
\(204\) −4.75431e9 + 2.08300e10i −0.192199 + 0.842079i
\(205\) −1.26229e9 + 1.68441e10i −0.0499193 + 0.666126i
\(206\) 1.78809e9 5.51552e8i 0.0691809 0.0213395i
\(207\) 1.99423e10 + 9.60370e9i 0.754933 + 0.363557i
\(208\) 2.97105e9 + 5.14600e9i 0.110059 + 0.190627i
\(209\) 2.34256e9 4.05744e9i 0.0849245 0.147094i
\(210\) 1.58955e9 1.08374e9i 0.0564011 0.0384536i
\(211\) 1.38306e9 + 6.05957e9i 0.0480363 + 0.210461i 0.993250 0.115991i \(-0.0370042\pi\)
−0.945214 + 0.326451i \(0.894147\pi\)
\(212\) 3.52327e10 5.31047e9i 1.19794 0.180560i
\(213\) −4.31957e10 + 5.41658e10i −1.43791 + 1.80309i
\(214\) 1.65575e8 0.00539676
\(215\) 1.67756e10 + 2.80149e9i 0.535433 + 0.0894160i
\(216\) −6.98866e8 −0.0218450
\(217\) 2.98655e10 3.74501e10i 0.914324 1.14653i
\(218\) −1.46327e9 + 2.20552e8i −0.0438803 + 0.00661389i
\(219\) 4.12622e9 + 1.80782e10i 0.121214 + 0.531075i
\(220\) 1.91676e9 1.30682e9i 0.0551652 0.0376110i
\(221\) −2.34125e9 + 4.05517e9i −0.0660212 + 0.114352i
\(222\) 1.07198e9 + 1.85673e9i 0.0296210 + 0.0513050i
\(223\) −2.44158e10 1.17580e10i −0.661149 0.318393i 0.0730485 0.997328i \(-0.476727\pi\)
−0.734198 + 0.678936i \(0.762442\pi\)
\(224\) 9.26645e9 2.85832e9i 0.245922 0.0758569i
\(225\) −2.28895e9 + 3.05439e10i −0.0595408 + 0.794517i
\(226\) −1.47003e8 + 6.44063e8i −0.00374834 + 0.0164225i
\(227\) −5.29378e9 1.34883e10i −0.132327 0.337165i 0.849318 0.527882i \(-0.177014\pi\)
−0.981645 + 0.190718i \(0.938919\pi\)
\(228\) −6.10416e9 8.14544e10i −0.149596 1.99622i
\(229\) −1.60241e10 2.41524e9i −0.385047 0.0580365i −0.0463334 0.998926i \(-0.514754\pi\)
−0.338714 + 0.940890i \(0.609992\pi\)
\(230\) 7.24514e8 6.72251e8i 0.0170715 0.0158400i
\(231\) 1.04618e10 5.03816e9i 0.241743 0.116417i
\(232\) 8.43513e8 + 5.75097e8i 0.0191159 + 0.0130330i
\(233\) −1.11684e10 + 2.84566e10i −0.248250 + 0.632531i −0.999626 0.0273433i \(-0.991295\pi\)
0.751376 + 0.659874i \(0.229391\pi\)
\(234\) −6.36643e8 1.96378e8i −0.0138811 0.00428176i
\(235\) 1.78834e10 + 1.65934e10i 0.382512 + 0.354920i
\(236\) −1.24774e10 1.56461e10i −0.261830 0.328325i
\(237\) −1.32002e10 1.65525e10i −0.271777 0.340797i
\(238\) 1.85681e9 + 1.72286e9i 0.0375120 + 0.0348061i
\(239\) −4.63357e10 1.42927e10i −0.918597 0.283350i −0.200825 0.979627i \(-0.564362\pi\)
−0.717773 + 0.696277i \(0.754838\pi\)
\(240\) 1.47267e10 3.75229e10i 0.286519 0.730039i
\(241\) −7.30185e10 4.97832e10i −1.39430 0.950617i −0.999493 0.0318533i \(-0.989859\pi\)
−0.394807 0.918764i \(-0.629189\pi\)
\(242\) 2.73785e9 1.31848e9i 0.0513146 0.0247118i
\(243\) 5.71683e10 5.30444e10i 1.05178 0.975914i
\(244\) −3.86978e10 5.83276e9i −0.698928 0.105346i
\(245\) 2.79067e9 + 3.72388e10i 0.0494835 + 0.660311i
\(246\) −2.17946e9 5.55317e9i −0.0379438 0.0966791i
\(247\) 3.98349e9 1.74528e10i 0.0680969 0.298352i
\(248\) −5.05989e8 + 6.75196e9i −0.00849393 + 0.113344i
\(249\) −1.42243e11 + 4.38762e10i −2.34496 + 0.723323i
\(250\) 2.97933e9 + 1.43477e9i 0.0482379 + 0.0232302i
\(251\) −4.20021e9 7.27498e9i −0.0667943 0.115691i 0.830694 0.556729i \(-0.187944\pi\)
−0.897489 + 0.441038i \(0.854610\pi\)
\(252\) 5.36920e10 9.29972e10i 0.838701 1.45267i
\(253\) 4.92887e9 3.36045e9i 0.0756319 0.0515649i
\(254\) −4.72538e8 2.07032e9i −0.00712336 0.0312095i
\(255\) 3.14099e10 4.73428e9i 0.465196 0.0701170i
\(256\) 4.14199e10 5.19389e10i 0.602739 0.755811i
\(257\) 1.17651e11 1.68228 0.841138 0.540821i \(-0.181886\pi\)
0.841138 + 0.540821i \(0.181886\pi\)
\(258\) −5.76722e9 + 1.67919e9i −0.0810359 + 0.0235945i
\(259\) −7.57333e10 −1.04577
\(260\) 5.52665e9 6.93020e9i 0.0750036 0.0940515i
\(261\) 1.67777e10 2.52883e9i 0.223794 0.0337316i
\(262\) 1.59470e9 + 6.98683e9i 0.0209085 + 0.0916061i
\(263\) −1.27511e10 + 8.69358e9i −0.164342 + 0.112046i −0.642698 0.766119i \(-0.722185\pi\)
0.478356 + 0.878166i \(0.341233\pi\)
\(264\) −8.20681e8 + 1.42146e9i −0.0103982 + 0.0180102i
\(265\) −2.64864e10 4.58757e10i −0.329925 0.571448i
\(266\) −8.72481e9 4.20165e9i −0.106853 0.0514579i
\(267\) −2.20516e11 + 6.80201e10i −2.65545 + 0.819099i
\(268\) −7.38177e9 + 9.85028e10i −0.0874085 + 1.16639i
\(269\) −2.98972e10 + 1.30988e11i −0.348133 + 1.52527i 0.433282 + 0.901259i \(0.357356\pi\)
−0.781415 + 0.624012i \(0.785502\pi\)
\(270\) 1.89480e8 + 4.82786e8i 0.00216983 + 0.00552864i
\(271\) −5.67258e8 7.56954e9i −0.00638880 0.0852526i 0.993098 0.117288i \(-0.0374201\pi\)
−0.999487 + 0.0320355i \(0.989801\pi\)
\(272\) 5.24796e10 + 7.91003e9i 0.581340 + 0.0876230i
\(273\) 3.25240e10 3.01779e10i 0.354383 0.328819i
\(274\) −2.88705e9 + 1.39033e9i −0.0309440 + 0.0149018i
\(275\) 6.82060e9 + 4.65021e9i 0.0719160 + 0.0490315i
\(276\) 3.79970e10 9.68147e10i 0.394147 1.00427i
\(277\) 1.24867e11 + 3.85163e10i 1.27435 + 0.393084i 0.856836 0.515588i \(-0.172427\pi\)
0.417510 + 0.908672i \(0.362903\pi\)
\(278\) −3.96648e9 3.68036e9i −0.0398294 0.0369563i
\(279\) 7.01615e10 + 8.79797e10i 0.693234 + 0.869288i
\(280\) −5.98927e9 7.51030e9i −0.0582321 0.0730208i
\(281\) 1.32002e11 + 1.22480e11i 1.26299 + 1.17189i 0.976902 + 0.213686i \(0.0685468\pi\)
0.286092 + 0.958202i \(0.407644\pi\)
\(282\) −8.23312e9 2.53958e9i −0.0775253 0.0239134i
\(283\) −4.17082e10 + 1.06271e11i −0.386530 + 0.984862i 0.596696 + 0.802468i \(0.296480\pi\)
−0.983225 + 0.182394i \(0.941615\pi\)
\(284\) 1.42671e11 + 9.72712e10i 1.30137 + 0.887261i
\(285\) −1.09413e11 + 5.26905e10i −0.982351 + 0.473075i
\(286\) −1.31626e8 + 1.22131e8i −0.00116331 + 0.00107940i
\(287\) 2.08373e11 + 3.14072e10i 1.81290 + 0.273250i
\(288\) 1.70245e9 + 2.27176e10i 0.0145817 + 0.194579i
\(289\) −2.80456e10 7.14591e10i −0.236497 0.602583i
\(290\) 1.68588e8 7.38633e8i 0.00139970 0.00613251i
\(291\) 5.24319e9 6.99656e10i 0.0428625 0.571960i
\(292\) 4.41634e10 1.36226e10i 0.355500 0.109657i
\(293\) 3.45161e9 + 1.66221e9i 0.0273601 + 0.0131759i 0.447514 0.894277i \(-0.352310\pi\)
−0.420154 + 0.907453i \(0.638024\pi\)
\(294\) −6.59427e9 1.14216e10i −0.0514759 0.0891589i
\(295\) −1.48762e10 + 2.57664e10i −0.114365 + 0.198086i
\(296\) 8.84501e9 6.03043e9i 0.0669708 0.0456599i
\(297\) 6.96570e8 + 3.05187e9i 0.00519470 + 0.0227595i
\(298\) 6.66402e9 1.00444e9i 0.0489511 0.00737820i
\(299\) 1.42116e10 1.78207e10i 0.102830 0.128945i
\(300\) 1.43922e11 1.02584
\(301\) 5.04916e10 2.06085e11i 0.354544 1.44710i
\(302\) −3.12298e8 −0.00216042
\(303\) −3.12623e10 + 3.92017e10i −0.213074 + 0.267186i
\(304\) −2.00634e11 + 3.02407e10i −1.34733 + 0.203077i
\(305\) 1.29468e10 + 5.67238e10i 0.0856672 + 0.375333i
\(306\) −4.91662e9 + 3.35210e9i −0.0320568 + 0.0218560i
\(307\) 7.96495e10 1.37957e11i 0.511753 0.886383i −0.488154 0.872758i \(-0.662330\pi\)
0.999907 0.0136251i \(-0.00433714\pi\)
\(308\) −1.44706e10 2.50638e10i −0.0916236 0.158697i
\(309\) −2.63756e11 1.27018e11i −1.64584 0.792597i
\(310\) 4.80153e9 1.48108e9i 0.0295292 0.00910856i
\(311\) −1.49840e10 + 1.99948e11i −0.0908253 + 1.21198i 0.746542 + 0.665338i \(0.231713\pi\)
−0.837367 + 0.546641i \(0.815906\pi\)
\(312\) −1.39555e9 + 6.11432e9i −0.00833779 + 0.0365302i
\(313\) 6.39345e10 + 1.62902e11i 0.376518 + 0.959352i 0.986029 + 0.166574i \(0.0532706\pi\)
−0.609511 + 0.792778i \(0.708634\pi\)
\(314\) 3.59457e8 + 4.79661e9i 0.00208671 + 0.0278453i
\(315\) −1.57866e11 2.37945e10i −0.903426 0.136170i
\(316\) −3.86814e10 + 3.58911e10i −0.218228 + 0.202486i
\(317\) 8.99334e9 4.33096e9i 0.0500212 0.0240889i −0.408706 0.912666i \(-0.634020\pi\)
0.458727 + 0.888577i \(0.348306\pi\)
\(318\) 1.54576e10 + 1.05388e10i 0.0847658 + 0.0577923i
\(319\) 1.67065e9 4.25674e9i 0.00903288 0.0230154i
\(320\) −9.53536e10 2.94127e10i −0.508349 0.156805i
\(321\) −1.89888e10 1.76190e10i −0.0998215 0.0926208i
\(322\) −7.68769e9 9.64005e9i −0.0398515 0.0499722i
\(323\) −9.96899e10 1.25007e11i −0.509612 0.639034i
\(324\) −1.23700e11 1.14777e11i −0.623616 0.578631i
\(325\) 3.01406e10 + 9.29715e9i 0.149857 + 0.0462248i
\(326\) −5.96360e9 + 1.51950e10i −0.0292435 + 0.0745112i
\(327\) 1.91282e11 + 1.30414e11i 0.925145 + 0.630753i
\(328\) −2.68371e10 + 1.29241e10i −0.128027 + 0.0616547i
\(329\) 2.23103e11 2.07009e11i 1.04984 0.974110i
\(330\) 1.20447e9 + 1.81545e8i 0.00559093 + 0.000842697i
\(331\) 2.44684e10 + 3.26508e11i 0.112042 + 1.49509i 0.716014 + 0.698085i \(0.245964\pi\)
−0.603973 + 0.797005i \(0.706416\pi\)
\(332\) 1.35545e11 + 3.45363e11i 0.612297 + 1.56011i
\(333\) 3.95902e10 1.73456e11i 0.176436 0.773018i
\(334\) −1.01197e9 + 1.35038e10i −0.00444948 + 0.0593742i
\(335\) 1.40332e11 4.32867e10i 0.608773 0.187782i
\(336\) −4.53075e11 2.18189e11i −1.93929 0.933913i
\(337\) −4.26022e10 7.37891e10i −0.179927 0.311643i 0.761928 0.647662i \(-0.224253\pi\)
−0.941855 + 0.336018i \(0.890920\pi\)
\(338\) 6.59586e9 1.14244e10i 0.0274882 0.0476109i
\(339\) 8.53942e10 5.82208e10i 0.351180 0.239430i
\(340\) −1.76170e10 7.71853e10i −0.0714953 0.313242i
\(341\) 2.99894e10 4.52017e9i 0.120108 0.0181034i
\(342\) 1.41842e10 1.77864e10i 0.0560644 0.0703026i
\(343\) 8.39452e10 0.327471
\(344\) 1.05130e10 + 2.80895e10i 0.0404775 + 0.108151i
\(345\) −1.54625e11 −0.587616
\(346\) 5.65711e9 7.09380e9i 0.0212203 0.0266095i
\(347\) 2.96278e11 4.46567e10i 1.09702 0.165350i 0.424502 0.905427i \(-0.360449\pi\)
0.672522 + 0.740077i \(0.265211\pi\)
\(348\) −1.77405e10 7.77262e10i −0.0648424 0.284093i
\(349\) 1.34634e10 9.17917e9i 0.0485780 0.0331199i −0.538788 0.842442i \(-0.681117\pi\)
0.587366 + 0.809322i \(0.300165\pi\)
\(350\) 8.53123e9 1.47765e10i 0.0303882 0.0526340i
\(351\) 5.98046e9 + 1.03585e10i 0.0210307 + 0.0364262i
\(352\) 5.53178e9 + 2.66397e9i 0.0192054 + 0.00924883i
\(353\) −1.06424e11 + 3.28274e10i −0.364798 + 0.112525i −0.471735 0.881740i \(-0.656372\pi\)
0.106936 + 0.994266i \(0.465896\pi\)
\(354\) 7.85241e8 1.04783e10i 0.00265759 0.0354631i
\(355\) 5.71253e10 2.50282e11i 0.190898 0.836377i
\(356\) 2.10132e11 + 5.35407e11i 0.693372 + 1.76668i
\(357\) −2.96138e10 3.95169e11i −0.0964912 1.28759i
\(358\) 1.81936e10 + 2.74225e9i 0.0585391 + 0.00882334i
\(359\) −3.82403e10 + 3.54818e10i −0.121506 + 0.112741i −0.738586 0.674160i \(-0.764506\pi\)
0.617080 + 0.786900i \(0.288315\pi\)
\(360\) 2.03322e10 9.79146e9i 0.0638003 0.0307246i
\(361\) 2.38441e11 + 1.62567e11i 0.738923 + 0.503789i
\(362\) −7.15024e9 + 1.82185e10i −0.0218843 + 0.0557602i
\(363\) −4.54287e11 1.40129e11i −1.37325 0.423593i
\(364\) −8.10628e10 7.52153e10i −0.242028 0.224569i
\(365\) −4.28407e10 5.37205e10i −0.126339 0.158425i
\(366\) −1.28117e10 1.60654e10i −0.0373201 0.0467979i
\(367\) −4.43675e11 4.11671e11i −1.27664 1.18455i −0.972754 0.231839i \(-0.925526\pi\)
−0.303885 0.952709i \(-0.598284\pi\)
\(368\) −2.46869e11 7.61490e10i −0.701700 0.216446i
\(369\) −1.80862e11 + 4.60829e11i −0.507842 + 1.29396i
\(370\) −6.56400e9 4.47526e9i −0.0182079 0.0124140i
\(371\) −5.95410e11 + 2.86734e11i −1.63167 + 0.785773i
\(372\) 3.87605e11 3.59645e11i 1.04941 0.973712i
\(373\) 2.16480e11 + 3.26291e10i 0.579066 + 0.0872801i 0.432043 0.901853i \(-0.357793\pi\)
0.147023 + 0.989133i \(0.453031\pi\)
\(374\) 1.19849e8 + 1.59927e9i 0.000316746 + 0.00422668i
\(375\) −1.89005e11 4.81578e11i −0.493553 1.25755i
\(376\) −9.57298e9 + 4.19420e10i −0.0247003 + 0.108219i
\(377\) 1.30573e9 1.74237e10i 0.00332902 0.0444227i
\(378\) 6.18276e9 1.90713e9i 0.0155765 0.00480471i
\(379\) −6.42287e11 3.09309e11i −1.59902 0.770045i −0.599476 0.800392i \(-0.704625\pi\)
−0.999539 + 0.0303469i \(0.990339\pi\)
\(380\) 1.51337e11 + 2.62124e11i 0.372323 + 0.644883i
\(381\) −1.66113e11 + 2.87716e11i −0.403869 + 0.699522i
\(382\) 3.65076e10 2.48905e10i 0.0877199 0.0598064i
\(383\) −3.63189e9 1.59124e10i −0.00862459 0.0377868i 0.970433 0.241373i \(-0.0775976\pi\)
−0.979057 + 0.203586i \(0.934740\pi\)
\(384\) 1.41052e11 2.12602e10i 0.331047 0.0498973i
\(385\) −2.68271e10 + 3.36401e10i −0.0622301 + 0.0780340i
\(386\) −3.22264e10 −0.0738871
\(387\) 4.45613e11 + 2.23376e11i 1.00985 + 0.506218i
\(388\) −1.74871e11 −0.391719
\(389\) 4.62773e11 5.80299e11i 1.02470 1.28493i 0.0668141 0.997765i \(-0.478717\pi\)
0.957882 0.287163i \(-0.0927120\pi\)
\(390\) 4.60223e9 6.93674e8i 0.0100734 0.00151832i
\(391\) −4.53015e10 1.98479e11i −0.0980206 0.429457i
\(392\) −5.44099e10 + 3.70960e10i −0.116383 + 0.0793488i
\(393\) 5.60589e11 9.70969e11i 1.18544 2.05324i
\(394\) −1.79720e10 3.11284e10i −0.0375720 0.0650765i
\(395\) 7.06815e10 + 3.40384e10i 0.146090 + 0.0703530i
\(396\) 6.49694e10 2.00404e10i 0.132764 0.0409523i
\(397\) −4.55234e10 + 6.07467e11i −0.0919765 + 1.22734i 0.740029 + 0.672575i \(0.234812\pi\)
−0.832006 + 0.554767i \(0.812807\pi\)
\(398\) −7.23569e8 + 3.17016e9i −0.00144546 + 0.00633297i
\(399\) 5.53492e11 + 1.41028e12i 1.09329 + 2.78565i
\(400\) −2.67162e10 3.56502e11i −0.0521800 0.696294i
\(401\) −7.33604e11 1.10573e11i −1.41681 0.213550i −0.604421 0.796665i \(-0.706596\pi\)
−0.812390 + 0.583115i \(0.801834\pi\)
\(402\) −3.80201e10 + 3.52775e10i −0.0726098 + 0.0673721i
\(403\) 1.04406e11 5.02794e10i 0.197176 0.0949549i
\(404\) 1.03256e11 + 7.03987e10i 0.192841 + 0.131477i
\(405\) −9.16563e10 + 2.33536e11i −0.169284 + 0.431327i
\(406\) −9.03180e9 2.78594e9i −0.0164971 0.00508868i
\(407\) −3.51502e10 3.26146e10i −0.0634969 0.0589165i
\(408\) 3.49248e10 + 4.37944e10i 0.0623970 + 0.0782433i
\(409\) −2.87096e10 3.60007e10i −0.0507308 0.0636144i 0.755819 0.654781i \(-0.227239\pi\)
−0.806550 + 0.591166i \(0.798668\pi\)
\(410\) 1.62043e10 + 1.50354e10i 0.0283206 + 0.0262777i
\(411\) 4.79043e11 + 1.47765e11i 0.828107 + 0.255437i
\(412\) −2.66568e11 + 6.79204e11i −0.455796 + 1.16135i
\(413\) 3.06678e11 + 2.09089e11i 0.518689 + 0.353636i
\(414\) 2.60979e10 1.25681e10i 0.0436620 0.0210265i
\(415\) 4.04342e11 3.75174e11i 0.669163 0.620893i
\(416\) 2.31979e10 + 3.49652e9i 0.0379777 + 0.00572422i
\(417\) 6.32607e10 + 8.44155e11i 0.102452 + 1.36713i
\(418\) −2.24001e9 5.70746e9i −0.00358886 0.00914428i
\(419\) 2.73180e11 1.19688e12i 0.432998 1.89709i −0.00877700 0.999961i \(-0.502794\pi\)
0.441775 0.897126i \(-0.354349\pi\)
\(420\) −5.60595e10 + 7.48061e11i −0.0879077 + 1.17305i
\(421\) −5.83600e11 + 1.80017e11i −0.905412 + 0.279283i −0.712284 0.701891i \(-0.752339\pi\)
−0.193128 + 0.981174i \(0.561863\pi\)
\(422\) 7.32841e9 + 3.52918e9i 0.0112487 + 0.00541711i
\(423\) 3.57495e11 + 6.19199e11i 0.542923 + 0.940370i
\(424\) 4.67070e10 8.08990e10i 0.0701837 0.121562i
\(425\) 2.32768e11 1.58698e11i 0.346077 0.235951i
\(426\) 2.01750e10 + 8.83923e10i 0.0296804 + 0.130038i
\(427\) 7.17744e11 1.08182e11i 1.04483 0.157482i
\(428\) −4.02540e10 + 5.04769e10i −0.0579845 + 0.0727102i
\(429\) 2.80915e10 0.0400422
\(430\) 1.65543e10 1.48783e10i 0.0233509 0.0209867i
\(431\) 1.34148e12 1.87257 0.936283 0.351246i \(-0.114242\pi\)
0.936283 + 0.351246i \(0.114242\pi\)
\(432\) 8.45249e10 1.05991e11i 0.116764 0.146417i
\(433\) −9.52207e11 + 1.43522e11i −1.30177 + 0.196211i −0.763088 0.646295i \(-0.776318\pi\)
−0.538687 + 0.842506i \(0.681080\pi\)
\(434\) −1.39489e10 6.11143e10i −0.0188728 0.0826873i
\(435\) −9.79330e10 + 6.67696e10i −0.131138 + 0.0894081i
\(436\) 2.88507e11 4.99709e11i 0.382355 0.662259i
\(437\) 3.89158e11 + 6.74042e11i 0.510458 + 0.884139i
\(438\) 2.18636e10 + 1.05290e10i 0.0283850 + 0.0136695i
\(439\) 3.39643e11 1.04766e11i 0.436448 0.134626i −0.0687422 0.997634i \(-0.521899\pi\)
0.505190 + 0.863008i \(0.331422\pi\)
\(440\) 4.54512e8 6.06505e9i 0.000578108 0.00771431i
\(441\) −2.43538e11 + 1.06701e12i −0.306615 + 1.34337i
\(442\) 2.23876e9 + 5.70426e9i 0.00279002 + 0.00710885i
\(443\) 5.05690e10 + 6.74796e11i 0.0623832 + 0.832446i 0.937378 + 0.348314i \(0.113246\pi\)
−0.874995 + 0.484132i \(0.839135\pi\)
\(444\) −8.26654e11 1.24598e11i −1.00949 0.152156i
\(445\) 6.26839e11 5.81622e11i 0.757768 0.703106i
\(446\) −3.19523e10 + 1.53874e10i −0.0382380 + 0.0184144i
\(447\) −8.71137e11 5.93931e11i −1.03205 0.703643i
\(448\) −4.54806e11 + 1.15883e12i −0.533427 + 1.35915i
\(449\) −1.34234e11 4.14058e10i −0.155867 0.0480787i 0.215840 0.976429i \(-0.430751\pi\)
−0.371707 + 0.928350i \(0.621227\pi\)
\(450\) 2.93837e10 + 2.72641e10i 0.0337792 + 0.0313425i
\(451\) 8.31868e10 + 1.04313e11i 0.0946804 + 0.118725i
\(452\) −1.60609e11 2.01397e11i −0.180987 0.226950i
\(453\) 3.58155e10 + 3.32319e10i 0.0399603 + 0.0370777i
\(454\) −1.81202e10 5.58933e9i −0.0200175 0.00617459i
\(455\) −6.00639e10 + 1.53040e11i −0.0656996 + 0.167400i
\(456\) −1.76939e11 1.20635e11i −0.191639 0.130657i
\(457\) −1.19466e12 + 5.75319e11i −1.28121 + 0.617001i −0.945702 0.325035i \(-0.894624\pi\)
−0.335513 + 0.942036i \(0.608910\pi\)
\(458\) −1.55459e10 + 1.44245e10i −0.0165090 + 0.0153182i
\(459\) 1.05637e11 + 1.59222e10i 0.111086 + 0.0167435i
\(460\) 2.88000e10 + 3.84309e11i 0.0299904 + 0.400194i
\(461\) −2.60751e11 6.64382e11i −0.268888 0.685115i −0.999996 0.00285350i \(-0.999092\pi\)
0.731108 0.682262i \(-0.239004\pi\)
\(462\) 3.38143e9 1.48150e10i 0.00345311 0.0151291i
\(463\) 1.08867e11 1.45273e12i 0.110099 1.46917i −0.619342 0.785122i \(-0.712600\pi\)
0.729440 0.684044i \(-0.239781\pi\)
\(464\) −1.89239e11 + 5.83726e10i −0.189531 + 0.0584626i
\(465\) −7.08260e11 3.41080e11i −0.702514 0.338313i
\(466\) 2.00029e10 + 3.46461e10i 0.0196497 + 0.0340343i
\(467\) 8.62011e11 1.49305e12i 0.838662 1.45260i −0.0523520 0.998629i \(-0.516672\pi\)
0.891014 0.453976i \(-0.149995\pi\)
\(468\) 2.14646e11 1.46343e11i 0.206831 0.141015i
\(469\) −4.07679e11 1.78616e12i −0.389081 1.70468i
\(470\) 3.15696e10 4.75835e9i 0.0298420 0.00449796i
\(471\) 4.69188e11 5.88344e11i 0.439292 0.550855i
\(472\) −5.24666e10 −0.0486568
\(473\) 1.12186e11 7.39064e10i 0.103053 0.0678901i
\(474\) −2.77065e10 −0.0252103
\(475\) −6.71523e11 + 8.42064e11i −0.605257 + 0.758968i
\(476\) −9.76648e11 + 1.47206e11i −0.871981 + 0.131430i
\(477\) −3.45467e11 1.51359e12i −0.305544 1.33868i
\(478\) −5.24310e10 + 3.57468e10i −0.0459370 + 0.0313193i
\(479\) 1.01414e12 1.75655e12i 0.880216 1.52458i 0.0291157 0.999576i \(-0.490731\pi\)
0.851100 0.525003i \(-0.175936\pi\)
\(480\) −7.95725e10 1.37824e11i −0.0684191 0.118505i
\(481\) −1.65072e11 7.94945e10i −0.140611 0.0677149i
\(482\) −1.10515e11 + 3.40894e10i −0.0932631 + 0.0287679i
\(483\) −1.44155e11 + 1.92361e12i −0.120522 + 1.60826i
\(484\) −2.63667e11 + 1.15520e12i −0.218399 + 0.956869i
\(485\) 9.49827e10 + 2.42012e11i 0.0779483 + 0.198609i
\(486\) −7.62687e9 1.01774e11i −0.00620131 0.0827507i
\(487\) −1.00102e11 1.50880e10i −0.0806423 0.0121549i 0.108597 0.994086i \(-0.465364\pi\)
−0.189239 + 0.981931i \(0.560602\pi\)
\(488\) −7.52122e10 + 6.97867e10i −0.0600342 + 0.0557036i
\(489\) 2.30084e12 1.10803e12i 1.81969 0.876316i
\(490\) 4.03783e10 + 2.75295e10i 0.0316422 + 0.0215733i
\(491\) −3.99798e11 + 1.01867e12i −0.310437 + 0.790981i 0.687463 + 0.726219i \(0.258724\pi\)
−0.997901 + 0.0647623i \(0.979371\pi\)
\(492\) 2.22279e12 + 6.85639e11i 1.71023 + 0.527537i
\(493\) −1.14399e11 1.06146e11i −0.0872188 0.0809272i
\(494\) −1.46067e10 1.83162e10i −0.0110352 0.0138377i
\(495\) −6.30236e10 7.90291e10i −0.0471824 0.0591648i
\(496\) −9.62812e11 8.93359e11i −0.714289 0.662764i
\(497\) −3.06038e12 9.44002e11i −2.24994 0.694016i
\(498\) −7.11700e10 + 1.81338e11i −0.0518519 + 0.132117i
\(499\) 2.17127e12 + 1.48035e12i 1.56769 + 1.06883i 0.961969 + 0.273160i \(0.0880687\pi\)
0.605724 + 0.795675i \(0.292884\pi\)
\(500\) −1.16172e12 + 5.59457e11i −0.831262 + 0.400315i
\(501\) 1.55301e12 1.44098e12i 1.10130 1.02186i
\(502\) −1.08706e10 1.63848e9i −0.00763989 0.00115153i
\(503\) 8.31220e10 + 1.10919e12i 0.0578976 + 0.772589i 0.948292 + 0.317399i \(0.102810\pi\)
−0.890394 + 0.455190i \(0.849571\pi\)
\(504\) −1.02855e11 2.62071e11i −0.0710050 0.180918i
\(505\) 4.13437e10 1.81138e11i 0.0282877 0.123937i
\(506\) 5.83402e8 7.78495e9i 0.000395631 0.00527933i
\(507\) −1.97211e12 + 6.08317e11i −1.32555 + 0.408878i
\(508\) 7.46036e11 + 3.59272e11i 0.497019 + 0.239352i
\(509\) 2.27916e11 + 3.94762e11i 0.150503 + 0.260678i 0.931412 0.363966i \(-0.118577\pi\)
−0.780910 + 0.624644i \(0.785244\pi\)
\(510\) 2.07848e10 3.60003e10i 0.0136044 0.0235635i
\(511\) −7.08251e11 + 4.82877e11i −0.459508 + 0.313287i
\(512\) −9.87238e10 4.32537e11i −0.0634903 0.278169i
\(513\) −4.03860e11 + 6.08720e10i −0.257456 + 0.0388052i
\(514\) 9.59966e10 1.20376e11i 0.0606627 0.0760687i
\(515\) 1.08477e12 0.679525
\(516\) 8.90189e11 2.16642e12i 0.552788 1.34530i
\(517\) 1.92697e11 0.118623
\(518\) −6.17941e10 + 7.74873e10i −0.0377105 + 0.0472875i
\(519\) −1.40364e12 + 2.11564e11i −0.849184 + 0.127994i
\(520\) −5.17121e9 2.26566e10i −0.00310154 0.0135887i
\(521\) −2.70828e12 + 1.84648e12i −1.61036 + 1.09793i −0.678818 + 0.734307i \(0.737507\pi\)
−0.931547 + 0.363622i \(0.881540\pi\)
\(522\) 1.11022e10 1.92296e10i 0.00654475 0.0113358i
\(523\) 1.56343e12 + 2.70795e12i 0.913738 + 1.58264i 0.808738 + 0.588168i \(0.200151\pi\)
0.105000 + 0.994472i \(0.466516\pi\)
\(524\) −2.51769e12 1.21245e12i −1.45885 0.702546i
\(525\) −2.55078e12 + 7.86811e11i −1.46540 + 0.452016i
\(526\) −1.50928e9 + 2.01399e10i −0.000859673 + 0.0114715i
\(527\) 2.30312e11 1.00906e12i 0.130068 0.569863i
\(528\) −1.16323e11 2.96385e11i −0.0651346 0.165960i
\(529\) −6.05423e10 8.07881e11i −0.0336131 0.448535i
\(530\) −6.85496e10 1.03322e10i −0.0377367 0.00568789i
\(531\) −6.39206e11 + 5.93097e11i −0.348912 + 0.323743i
\(532\) 3.40205e12 1.63834e12i 1.84136 0.886750i
\(533\) 4.21213e11 + 2.87178e11i 0.226063 + 0.154127i
\(534\) −1.10333e11 + 2.81123e11i −0.0587177 + 0.149610i
\(535\) 9.17216e10 + 2.82924e10i 0.0484038 + 0.0149306i
\(536\) 1.89840e11 + 1.76146e11i 0.0993451 + 0.0921788i
\(537\) −1.79471e12 2.25049e12i −0.931343 1.16787i
\(538\) 1.09628e11 + 1.37469e11i 0.0564156 + 0.0707429i
\(539\) 2.16226e11 + 2.00628e11i 0.110346 + 0.102386i
\(540\) −1.93247e11 5.96087e10i −0.0978003 0.0301674i
\(541\) 8.14611e11 2.07559e12i 0.408849 1.04173i −0.567085 0.823660i \(-0.691929\pi\)
0.975933 0.218070i \(-0.0699760\pi\)
\(542\) −8.20770e9 5.59592e9i −0.00408531 0.00278532i
\(543\) 2.75867e12 1.32850e12i 1.36176 0.655788i
\(544\) 1.53600e11 1.42520e11i 0.0751961 0.0697718i
\(545\) −8.48275e11 1.27857e11i −0.411863 0.0620783i
\(546\) −4.33906e9 5.79007e10i −0.00208943 0.0278816i
\(547\) 4.99081e11 + 1.27164e12i 0.238357 + 0.607324i 0.999130 0.0416939i \(-0.0132754\pi\)
−0.760773 + 0.649018i \(0.775180\pi\)
\(548\) 2.78035e11 1.21815e12i 0.131700 0.577016i
\(549\) −1.27430e11 + 1.70044e12i −0.0598683 + 0.798887i
\(550\) 1.03231e10 3.18426e9i 0.00481038 0.00148381i
\(551\) 5.37539e11 + 2.58865e11i 0.248444 + 0.119644i
\(552\) −1.36336e11 2.36140e11i −0.0625005 0.108254i
\(553\) 4.89351e11 8.47581e11i 0.222514 0.385406i
\(554\) 1.41292e11 9.63316e10i 0.0637272 0.0434485i
\(555\) 2.76567e11 + 1.21172e12i 0.123732 + 0.542106i
\(556\) 2.08630e12 3.14460e11i 0.925850 0.139550i
\(557\) −1.14119e12 + 1.43101e12i −0.502353 + 0.629931i −0.966758 0.255692i \(-0.917697\pi\)
0.464405 + 0.885623i \(0.346268\pi\)
\(558\) 1.47265e11 0.0643052
\(559\) 3.26374e11 3.96195e11i 0.141372 0.171615i
\(560\) 1.86340e12 0.800681
\(561\) 1.56435e11 1.96163e11i 0.0666809 0.0836152i
\(562\) 2.33022e11 3.51225e10i 0.0985336 0.0148515i
\(563\) 1.96042e11 + 8.58916e11i 0.0822358 + 0.360299i 0.999257 0.0385396i \(-0.0122706\pi\)
−0.917021 + 0.398838i \(0.869413\pi\)
\(564\) 2.77582e12 1.89252e12i 1.15514 0.787561i
\(565\) −1.91487e11 + 3.31665e11i −0.0790534 + 0.136924i
\(566\) 7.47006e10 + 1.29385e11i 0.0305950 + 0.0529921i
\(567\) 2.81986e12 + 1.35797e12i 1.14579 + 0.551782i
\(568\) 4.32595e11 1.33438e11i 0.174387 0.0537912i
\(569\) −2.05350e11 + 2.74020e12i −0.0821276 + 1.09592i 0.792097 + 0.610395i \(0.208989\pi\)
−0.874225 + 0.485522i \(0.838630\pi\)
\(570\) −3.53639e10 + 1.54939e11i −0.0140321 + 0.0614788i
\(571\) 1.02887e12 + 2.62153e12i 0.405041 + 1.03203i 0.977282 + 0.211943i \(0.0679791\pi\)
−0.572241 + 0.820086i \(0.693926\pi\)
\(572\) −5.23225e9 6.98195e10i −0.00204365 0.0272706i
\(573\) −6.83544e12 1.03028e12i −2.64893 0.399262i
\(574\) 2.02155e11 1.87572e11i 0.0777286 0.0721216i
\(575\) −1.23555e12 + 5.95012e11i −0.471364 + 0.226997i
\(576\) −2.41636e12 1.64745e12i −0.914663 0.623607i
\(577\) −9.87211e11 + 2.51537e12i −0.370782 + 0.944738i 0.616727 + 0.787177i \(0.288458\pi\)
−0.987509 + 0.157561i \(0.949637\pi\)
\(578\) −9.59977e10 2.96114e10i −0.0357755 0.0110353i
\(579\) 3.69584e12 + 3.42924e12i 1.36666 + 1.26807i
\(580\) 1.84192e11 + 2.30969e11i 0.0675840 + 0.0847477i
\(581\) −4.29039e12 5.37998e12i −1.56209 1.95879i
\(582\) −6.73078e10 6.24526e10i −0.0243171 0.0225630i
\(583\) −3.99831e11 1.23331e11i −0.143340 0.0442145i
\(584\) 4.42676e10 1.12792e11i 0.0157481 0.0401255i
\(585\) −3.19117e11 2.17571e11i −0.112655 0.0768066i
\(586\) 4.51703e9 2.17529e9i 0.00158239 0.000762039i
\(587\) −1.89543e12 + 1.75871e12i −0.658927 + 0.611395i −0.937069 0.349145i \(-0.886472\pi\)
0.278142 + 0.960540i \(0.410282\pi\)
\(588\) 5.08514e12 + 7.66462e11i 1.75431 + 0.264419i
\(589\) 2.95703e11 + 3.94588e12i 0.101236 + 1.35091i
\(590\) 1.42250e10 + 3.62447e10i 0.00483301 + 0.0123143i
\(591\) −1.25131e12 + 5.48235e12i −0.421911 + 1.84851i
\(592\) −1.55185e11 + 2.07080e12i −0.0519280 + 0.692931i
\(593\) 2.75569e12 8.50019e11i 0.915134 0.282282i 0.198801 0.980040i \(-0.436295\pi\)
0.716333 + 0.697758i \(0.245819\pi\)
\(594\) 3.69091e9 + 1.77745e9i 0.00121645 + 0.000585812i
\(595\) 7.34201e11 + 1.27167e12i 0.240153 + 0.415958i
\(596\) −1.31392e12 + 2.27577e12i −0.426540 + 0.738790i
\(597\) 4.20322e11 2.86570e11i 0.135425 0.0923309i
\(598\) −6.63765e9 2.90814e10i −0.00212255 0.00929952i
\(599\) 4.32672e12 6.52148e11i 1.37321 0.206978i 0.579352 0.815078i \(-0.303306\pi\)
0.793861 + 0.608099i \(0.208068\pi\)
\(600\) 2.35258e11 2.95004e11i 0.0741077 0.0929282i
\(601\) 1.21079e12 0.378558 0.189279 0.981923i \(-0.439385\pi\)
0.189279 + 0.981923i \(0.439385\pi\)
\(602\) −1.69660e11 2.19815e11i −0.0526497 0.0682139i
\(603\) 4.30405e12 1.32571
\(604\) 7.59246e10 9.52065e10i 0.0232122 0.0291072i
\(605\) 1.74195e12 2.62556e11i 0.528610 0.0796752i
\(606\) 1.46014e10 + 6.39728e10i 0.00439812 + 0.0192694i
\(607\) −2.63352e12 + 1.79550e12i −0.787386 + 0.536831i −0.888953 0.457998i \(-0.848567\pi\)
0.101567 + 0.994829i \(0.467614\pi\)
\(608\) −4.00535e11 + 6.93746e11i −0.118870 + 0.205890i
\(609\) 7.39346e11 + 1.28058e12i 0.217806 + 0.377251i
\(610\) 6.86015e10 + 3.30367e10i 0.0200608 + 0.00966079i
\(611\) 7.03576e11 2.17024e11i 0.204233 0.0629975i
\(612\) 1.73397e11 2.31382e12i 0.0499643 0.666727i
\(613\) 1.48009e12 6.48472e12i 0.423367 1.85489i −0.0888615 0.996044i \(-0.528323\pi\)
0.512229 0.858849i \(-0.328820\pi\)
\(614\) −7.61627e10 1.94059e11i −0.0216264 0.0551032i
\(615\) −2.58439e11 3.44863e12i −0.0728484 0.972095i
\(616\) −7.50285e10 1.13087e10i −0.0209949 0.00316447i
\(617\) −1.52726e12 + 1.41709e12i −0.424257 + 0.393653i −0.863200 0.504862i \(-0.831543\pi\)
0.438943 + 0.898515i \(0.355353\pi\)
\(618\) −3.45170e11 + 1.66225e11i −0.0951885 + 0.0458403i
\(619\) −2.36556e12 1.61281e12i −0.647629 0.441546i 0.194441 0.980914i \(-0.437711\pi\)
−0.842070 + 0.539368i \(0.818663\pi\)
\(620\) −7.15812e11 + 1.82386e12i −0.194552 + 0.495711i
\(621\) −4.96927e11 1.53282e11i −0.134085 0.0413597i
\(622\) 1.92353e11 + 1.78477e11i 0.0515278 + 0.0478108i
\(623\) −6.65128e12 8.34044e12i −1.76892 2.21816i
\(624\) −7.58519e11 9.51152e11i −0.200279 0.251142i
\(625\) −5.67066e11 5.26161e11i −0.148653 0.137930i
\(626\) 2.18842e11 + 6.75039e10i 0.0569569 + 0.0175689i
\(627\) −3.50443e11 + 8.92914e11i −0.0905552 + 0.230731i
\(628\) −1.54968e12 1.05655e12i −0.397578 0.271064i
\(629\) −1.47436e12 + 7.10013e11i −0.375556 + 0.180858i
\(630\) −1.53156e11 + 1.42108e11i −0.0387347 + 0.0359406i
\(631\) 2.23642e12 + 3.37086e11i 0.561592 + 0.0846464i 0.423703 0.905801i \(-0.360730\pi\)
0.137889 + 0.990448i \(0.455968\pi\)
\(632\) 1.03384e10 + 1.37956e11i 0.00257766 + 0.0343964i
\(633\) −4.64906e11 1.18456e12i −0.115093 0.293252i
\(634\) 2.90678e9 1.27354e10i 0.000714514 0.00313049i
\(635\) 9.19971e10 1.22762e12i 0.0224539 0.299627i
\(636\) −6.97084e12 + 2.15022e12i −1.68938 + 0.521106i
\(637\) 1.01544e12 + 4.89009e11i 0.244358 + 0.117676i
\(638\) −2.99217e9 5.18259e9i −0.000714979 0.00123838i
\(639\) 3.76193e12 6.51586e12i 0.892601 1.54603i
\(640\) −4.36727e11 + 2.97755e11i −0.102896 + 0.0701535i
\(641\) −3.81995e11 1.67363e12i −0.0893709 0.391560i 0.910382 0.413768i \(-0.135787\pi\)
−0.999753 + 0.0222082i \(0.992930\pi\)
\(642\) −3.35208e10 + 5.05245e9i −0.00778766 + 0.00117380i
\(643\) 1.06636e12 1.33718e12i 0.246011 0.308489i −0.643460 0.765480i \(-0.722502\pi\)
0.889471 + 0.456991i \(0.151073\pi\)
\(644\) 4.80785e12 1.10145
\(645\) −3.48172e12 5.52627e10i −0.792092 0.0125723i
\(646\) −2.09244e11 −0.0472722
\(647\) 3.63984e12 4.56421e12i 0.816606 1.02399i −0.182561 0.983195i \(-0.558439\pi\)
0.999167 0.0407974i \(-0.0129898\pi\)
\(648\) −4.37468e11 + 6.59377e10i −0.0974672 + 0.0146908i
\(649\) 5.22942e10 + 2.29116e11i 0.0115705 + 0.0506937i
\(650\) 3.41055e10 2.32527e10i 0.00749401 0.00510933i
\(651\) −4.90351e12 + 8.49314e12i −1.07002 + 1.85333i
\(652\) −3.18247e12 5.51220e12i −0.689684 1.19457i
\(653\) −9.07501e8 4.37030e8i −0.000195316 9.40593e-5i 0.433786 0.901016i \(-0.357177\pi\)
−0.433981 + 0.900922i \(0.642892\pi\)
\(654\) 2.89510e11 8.93020e10i 0.0618819 0.0190880i
\(655\) −3.10468e11 + 4.14290e12i −0.0659068 + 0.879465i
\(656\) 1.28575e12 5.63325e12i 0.271075 1.18766i
\(657\) −7.35715e11 1.87457e12i −0.154051 0.392516i
\(658\) −2.97643e10 3.97178e11i −0.00618984 0.0825977i
\(659\) 1.80457e12 + 2.71994e11i 0.372725 + 0.0561792i 0.332734 0.943021i \(-0.392029\pi\)
0.0399910 + 0.999200i \(0.487267\pi\)
\(660\) −3.48172e11 + 3.23056e11i −0.0714243 + 0.0662721i
\(661\) −7.55190e12 + 3.63680e12i −1.53868 + 0.740991i −0.995148 0.0983941i \(-0.968629\pi\)
−0.543537 + 0.839385i \(0.682915\pi\)
\(662\) 3.54034e11 + 2.41377e11i 0.0716448 + 0.0488466i
\(663\) 3.50247e11 8.92415e11i 0.0703985 0.179373i
\(664\) 9.29475e11 + 2.86705e11i 0.185559 + 0.0572373i
\(665\) −4.11522e12 3.81837e12i −0.816011 0.757148i
\(666\) −1.45170e11 1.82037e11i −0.0285918 0.0358530i
\(667\) 4.73642e11 + 5.93928e11i 0.0926582 + 0.116190i
\(668\) −3.87072e12 3.59150e12i −0.752138 0.697882i
\(669\) 5.30180e12 + 1.63539e12i 1.02331 + 0.315648i
\(670\) 7.02138e10 1.78902e11i 0.0134613 0.0342987i
\(671\) 3.79716e11 + 2.58886e11i 0.0723115 + 0.0493011i
\(672\) −1.78878e12 + 8.61431e11i −0.338373 + 0.162952i
\(673\) 3.18015e12 2.95075e12i 0.597558 0.554453i −0.322333 0.946626i \(-0.604467\pi\)
0.919891 + 0.392174i \(0.128277\pi\)
\(674\) −1.10259e11 1.66189e10i −0.0205800 0.00310193i
\(675\) −5.37774e10 7.17609e11i −0.00997086 0.133052i
\(676\) 1.87925e12 + 4.78824e12i 0.346118 + 0.881894i
\(677\) 1.79462e11 7.86273e11i 0.0328339 0.143855i −0.955854 0.293842i \(-0.905066\pi\)
0.988688 + 0.149987i \(0.0479232\pi\)
\(678\) 1.01076e10 1.34877e11i 0.00183703 0.0245134i
\(679\) 3.09930e12 9.56009e11i 0.559565 0.172603i
\(680\) −1.87008e11 9.00584e10i −0.0335406 0.0161523i
\(681\) 1.48332e12 + 2.56919e12i 0.264285 + 0.457756i
\(682\) 1.98448e10 3.43722e10i 0.00351250 0.00608383i
\(683\) −6.58835e11 + 4.49186e11i −0.115847 + 0.0789829i −0.619857 0.784714i \(-0.712810\pi\)
0.504011 + 0.863697i \(0.331857\pi\)
\(684\) 1.97393e12 + 8.64833e12i 0.344809 + 1.51071i
\(685\) −1.83687e12 + 2.76864e11i −0.318765 + 0.0480461i
\(686\) 6.84945e10 8.58894e10i 0.0118086 0.0148075i
\(687\) 3.31779e12 0.568255
\(688\) −5.53159e12 1.80290e12i −0.941244 0.306777i
\(689\) −1.59876e12 −0.270269
\(690\) −1.26165e11 + 1.58206e11i −0.0211894 + 0.0265706i
\(691\) −6.90685e12 + 1.04104e12i −1.15247 + 0.173707i −0.697354 0.716727i \(-0.745640\pi\)
−0.455114 + 0.890433i \(0.650401\pi\)
\(692\) 7.87265e11 + 3.44923e12i 0.130510 + 0.571801i
\(693\) −1.04192e12 + 7.10368e11i −0.171607 + 0.116999i
\(694\) 1.96055e11 3.39577e11i 0.0320819 0.0555674i
\(695\) −1.56839e12 2.71653e12i −0.254990 0.441655i
\(696\) −1.88319e11 9.06895e10i −0.0304195 0.0146493i
\(697\) 4.35100e12 1.34211e12i 0.698300 0.215397i
\(698\) 1.59358e9 2.12649e10i 0.000254112 0.00339089i
\(699\) 1.39271e12 6.10187e12i 0.220655 0.966753i
\(700\) 2.43066e12 + 6.19323e12i 0.382634 + 0.974935i
\(701\) 2.31627e11 + 3.09084e12i 0.0362291 + 0.483444i 0.985578 + 0.169220i \(0.0541250\pi\)
−0.949349 + 0.314223i \(0.898256\pi\)
\(702\) 1.54781e10 + 2.33295e9i 0.00240547 + 0.000362567i
\(703\) 4.58608e12 4.25526e12i 0.708179 0.657094i
\(704\) −7.10138e11 + 3.41985e11i −0.108960 + 0.0524722i
\(705\) −4.12686e12 2.81364e12i −0.629170 0.428961i
\(706\) −5.32481e10 + 1.35674e11i −0.00806646 + 0.0205530i
\(707\) −2.21491e12 6.83209e11i −0.333402 0.102841i
\(708\) 3.00349e12 + 2.78683e12i 0.449238 + 0.416832i
\(709\) 2.78962e12 + 3.49808e12i 0.414608 + 0.519902i 0.944655 0.328067i \(-0.106397\pi\)
−0.530047 + 0.847968i \(0.677826\pi\)
\(710\) −2.09468e11 2.62664e11i −0.0309353 0.0387917i
\(711\) 1.68545e12 + 1.56386e12i 0.247344 + 0.229502i
\(712\) 1.44094e12 + 4.44471e11i 0.210129 + 0.0648161i
\(713\) −1.84068e12 + 4.68998e12i −0.266733 + 0.679624i
\(714\) −4.28484e11 2.92136e11i −0.0617011 0.0420671i
\(715\) −9.37845e10 + 4.51642e10i −0.0134200 + 0.00646275i
\(716\) −5.25916e12 + 4.87979e12i −0.747838 + 0.693893i
\(717\) 9.81684e12 + 1.47965e12i 1.38719 + 0.209085i
\(718\) 5.10167e9 + 6.80771e10i 0.000716395 + 0.00955963i
\(719\) 1.31982e12 + 3.36286e12i 0.184177 + 0.469276i 0.992905 0.118907i \(-0.0379389\pi\)
−0.808728 + 0.588182i \(0.799844\pi\)
\(720\) −9.74105e11 + 4.26784e12i −0.135086 + 0.591850i
\(721\) 1.01132e12 1.34951e13i 0.139373 1.85980i
\(722\) 3.60886e11 1.11319e11i 0.0494257 0.0152458i
\(723\) 1.63018e13 + 7.85052e12i 2.21877 + 1.06850i
\(724\) −3.81572e12 6.60902e12i −0.516123 0.893951i
\(725\) −5.25613e11 + 9.10389e11i −0.0706554 + 0.122379i
\(726\) −5.14047e11 + 3.50472e11i −0.0686734 + 0.0468207i
\(727\) −2.04482e11 8.95895e11i −0.0271488 0.118947i 0.959538 0.281580i \(-0.0908584\pi\)
−0.986687 + 0.162633i \(0.948001\pi\)
\(728\) −2.86680e11 + 4.32101e10i −0.0378274 + 0.00570156i
\(729\) −5.89687e12 + 7.39444e12i −0.773299 + 0.969687i
\(730\) −8.99203e10 −0.0117194
\(731\) −9.49129e11 4.48539e12i −0.122941 0.580994i
\(732\) 8.01239e12 1.03148
\(733\) −4.31488e12 + 5.41069e12i −0.552078 + 0.692284i −0.977071 0.212912i \(-0.931705\pi\)
0.424993 + 0.905197i \(0.360277\pi\)
\(734\) −7.83219e11 + 1.18051e11i −0.0995981 + 0.0150120i
\(735\) −1.70130e12 7.45388e12i −0.215024 0.942083i
\(736\) −8.42744e11 + 5.74573e11i −0.105863 + 0.0721764i
\(737\) 5.79994e11 1.00458e12i 0.0724135 0.125424i
\(738\) 3.23929e11 + 5.61061e11i 0.0401972 + 0.0696236i
\(739\) 4.05842e11 + 1.95443e11i 0.0500561 + 0.0241057i 0.458744 0.888568i \(-0.348299\pi\)
−0.408688 + 0.912674i \(0.634014\pi\)
\(740\) 2.96013e12 9.13080e11i 0.362885 0.111935i
\(741\) −2.73896e11 + 3.65489e12i −0.0333737 + 0.445340i
\(742\) −1.92446e11 + 8.43159e11i −0.0233072 + 0.102116i
\(743\) −4.32521e12 1.10205e13i −0.520664 1.32663i −0.913432 0.406992i \(-0.866578\pi\)
0.392768 0.919638i \(-0.371518\pi\)
\(744\) −1.03595e11 1.38238e12i −0.0123954 0.165405i
\(745\) 3.86321e12 + 5.82286e11i 0.459458 + 0.0692521i
\(746\) 2.10020e11 1.94870e11i 0.0248277 0.0230367i
\(747\) 1.45649e13 7.01408e12i 1.71145 0.824191i
\(748\) −5.16687e11 3.52271e11i −0.0603490 0.0411453i
\(749\) 4.37482e11 1.11469e12i 0.0507916 0.129415i
\(750\) −6.46949e11 1.99557e11i −0.0746611 0.0230299i