Properties

Label 43.10.g.a.9.15
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 9.15
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.32399 - 5.42212i) q^{2} +(83.5118 + 12.5874i) q^{3} +(103.228 - 452.273i) q^{4} +(-697.274 - 475.394i) q^{5} +(-292.854 - 507.238i) q^{6} +(3015.21 - 5222.49i) q^{7} +(-6097.79 + 2936.54i) q^{8} +(-11992.8 - 3699.28i) q^{9} +O(q^{10})\) \(q+(-4.32399 - 5.42212i) q^{2} +(83.5118 + 12.5874i) q^{3} +(103.228 - 452.273i) q^{4} +(-697.274 - 475.394i) q^{5} +(-292.854 - 507.238i) q^{6} +(3015.21 - 5222.49i) q^{7} +(-6097.79 + 2936.54i) q^{8} +(-11992.8 - 3699.28i) q^{9} +(437.370 + 5836.30i) q^{10} +(-6452.18 - 28268.9i) q^{11} +(14313.7 - 36470.7i) q^{12} +(-10990.0 + 146652. i) q^{13} +(-41354.7 + 6233.22i) q^{14} +(-52246.7 - 48477.8i) q^{15} +(-171708. - 82690.2i) q^{16} +(-58486.9 + 39875.7i) q^{17} +(31798.7 + 81021.9i) q^{18} +(797406. - 245967. i) q^{19} +(-286986. + 266284. i) q^{20} +(317543. - 398186. i) q^{21} +(-125378. + 157219. i) q^{22} +(-644771. + 598260. i) q^{23} +(-546201. + 168481. i) q^{24} +(-453364. - 1.15515e6i) q^{25} +(842684. - 574532. i) q^{26} +(-2.45268e6 - 1.18115e6i) q^{27} +(-2.05074e6 - 1.90281e6i) q^{28} +(-5.34099e6 + 805025. i) q^{29} +(-36938.1 + 492905. i) q^{30} +(-3.04664e6 + 7.76271e6i) q^{31} +(1.06520e6 + 4.66693e6i) q^{32} +(-183002. - 2.44200e6i) q^{33} +(469107. + 144700. i) q^{34} +(-4.58517e6 + 2.20810e6i) q^{35} +(-2.91108e6 + 5.04213e6i) q^{36} +(-3.49242e6 - 6.04905e6i) q^{37} +(-4.78164e6 - 3.26007e6i) q^{38} +(-2.76376e6 + 1.21088e7i) q^{39} +(5.64785e6 + 851276. i) q^{40} +(-1.74301e7 - 2.18567e7i) q^{41} -3.53206e6 q^{42} +(-1.64853e6 + 2.23579e7i) q^{43} -1.34513e7 q^{44} +(6.60364e6 + 8.28070e6i) q^{45} +(6.03182e6 + 909151. i) q^{46} +(1.37646e7 - 6.03068e7i) q^{47} +(-1.32988e7 - 9.06695e6i) q^{48} +(1.99385e6 + 3.45344e6i) q^{49} +(-4.30303e6 + 7.45307e6i) q^{50} +(-5.38627e6 + 2.59389e6i) q^{51} +(6.51921e7 + 2.01091e7i) q^{52} +(-3.80896e6 - 5.08271e7i) q^{53} +(4.20105e6 + 1.84060e7i) q^{54} +(-8.93990e6 + 2.27785e7i) q^{55} +(-3.05004e6 + 4.07000e7i) q^{56} +(6.96888e7 - 1.05039e7i) q^{57} +(2.74594e7 + 2.54786e7i) q^{58} +(3.01362e7 + 1.45128e7i) q^{59} +(-2.73185e7 + 1.86255e7i) q^{60} +(-4.66331e7 - 1.18819e8i) q^{61} +(5.52640e7 - 1.70467e7i) q^{62} +(-5.54802e7 + 5.14781e7i) q^{63} +(-4.01400e7 + 5.03339e7i) q^{64} +(7.73804e7 - 9.70320e7i) q^{65} +(-1.24495e7 + 1.15514e7i) q^{66} +(2.39879e8 - 7.39928e7i) q^{67} +(1.19972e7 + 3.05683e7i) q^{68} +(-6.13765e7 + 4.18458e7i) q^{69} +(3.17988e7 + 1.53135e7i) q^{70} +(9.76040e7 + 9.05633e7i) q^{71} +(8.39925e7 - 1.26598e7i) q^{72} +(-2.51704e7 + 3.35876e8i) q^{73} +(-1.76974e7 + 4.50923e7i) q^{74} +(-2.33209e7 - 1.02176e8i) q^{75} +(-2.89294e7 - 3.86036e8i) q^{76} +(-1.67089e8 - 5.15400e7i) q^{77} +(7.76059e7 - 3.73730e7i) q^{78} +(2.21975e8 - 3.84472e8i) q^{79} +(8.04171e7 + 1.39287e8i) q^{80} +(1.41445e7 + 9.64354e6i) q^{81} +(-4.31417e7 + 1.89016e8i) q^{82} +(3.09972e8 + 4.67207e7i) q^{83} +(-1.47309e8 - 1.84720e8i) q^{84} +5.97380e7 q^{85} +(1.28355e8 - 8.77368e7i) q^{86} -4.56169e8 q^{87} +(1.22357e8 + 1.53431e8i) q^{88} +(-4.66794e8 - 7.03579e7i) q^{89} +(1.63448e7 - 7.16114e7i) q^{90} +(7.32751e8 + 4.99581e8i) q^{91} +(2.04018e8 + 3.53370e8i) q^{92} +(-3.52142e8 + 6.09928e8i) q^{93} +(-3.86509e8 + 1.86133e8i) q^{94} +(-6.72942e8 - 2.07575e8i) q^{95} +(3.02120e7 + 4.03151e8i) q^{96} +(-3.09749e8 - 1.35710e9i) q^{97} +(1.01036e7 - 2.57435e7i) q^{98} +(-2.71949e7 + 3.62890e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.32399 5.42212i −0.191095 0.239626i 0.677049 0.735938i \(-0.263259\pi\)
−0.868144 + 0.496312i \(0.834687\pi\)
\(3\) 83.5118 + 12.5874i 0.595253 + 0.0897200i 0.439758 0.898117i \(-0.355064\pi\)
0.155496 + 0.987837i \(0.450302\pi\)
\(4\) 103.228 452.273i 0.201618 0.883345i
\(5\) −697.274 475.394i −0.498929 0.340164i 0.287566 0.957761i \(-0.407154\pi\)
−0.786495 + 0.617597i \(0.788106\pi\)
\(6\) −292.854 507.238i −0.0922509 0.159783i
\(7\) 3015.21 5222.49i 0.474653 0.822123i −0.524926 0.851148i \(-0.675907\pi\)
0.999579 + 0.0290251i \(0.00924028\pi\)
\(8\) −6097.79 + 2936.54i −0.526341 + 0.253473i
\(9\) −11992.8 3699.28i −0.609296 0.187943i
\(10\) 437.370 + 5836.30i 0.0138309 + 0.184560i
\(11\) −6452.18 28268.9i −0.132874 0.582159i −0.996898 0.0787077i \(-0.974921\pi\)
0.864024 0.503451i \(-0.167937\pi\)
\(12\) 14313.7 36470.7i 0.199267 0.507725i
\(13\) −10990.0 + 146652.i −0.106722 + 1.42411i 0.644776 + 0.764371i \(0.276951\pi\)
−0.751498 + 0.659735i \(0.770669\pi\)
\(14\) −41354.7 + 6233.22i −0.287706 + 0.0433647i
\(15\) −52246.7 48477.8i −0.266470 0.247248i
\(16\) −171708. 82690.2i −0.655014 0.315438i
\(17\) −58486.9 + 39875.7i −0.169839 + 0.115794i −0.645257 0.763966i \(-0.723250\pi\)
0.475417 + 0.879760i \(0.342297\pi\)
\(18\) 31798.7 + 81021.9i 0.0713976 + 0.181918i
\(19\) 797406. 245967.i 1.40374 0.432998i 0.501850 0.864954i \(-0.332653\pi\)
0.901894 + 0.431956i \(0.142177\pi\)
\(20\) −286986. + 266284.i −0.401075 + 0.372143i
\(21\) 317543. 398186.i 0.356300 0.446786i
\(22\) −125378. + 157219.i −0.114109 + 0.143088i
\(23\) −644771. + 598260.i −0.480430 + 0.445774i −0.882832 0.469689i \(-0.844366\pi\)
0.402402 + 0.915463i \(0.368176\pi\)
\(24\) −546201. + 168481.i −0.336048 + 0.103657i
\(25\) −453364. 1.15515e6i −0.232122 0.591438i
\(26\) 842684. 574532.i 0.361647 0.246567i
\(27\) −2.45268e6 1.18115e6i −0.888186 0.427728i
\(28\) −2.05074e6 1.90281e6i −0.630520 0.585037i
\(29\) −5.34099e6 + 805025.i −1.40227 + 0.211358i −0.806232 0.591600i \(-0.798497\pi\)
−0.596036 + 0.802958i \(0.703258\pi\)
\(30\) −36938.1 + 492905.i −0.00832587 + 0.111101i
\(31\) −3.04664e6 + 7.76271e6i −0.592507 + 1.50968i 0.248485 + 0.968636i \(0.420067\pi\)
−0.840992 + 0.541047i \(0.818028\pi\)
\(32\) 1.06520e6 + 4.66693e6i 0.179579 + 0.786785i
\(33\) −183002. 2.44200e6i −0.0268624 0.358453i
\(34\) 469107. + 144700.i 0.0602029 + 0.0185701i
\(35\) −4.58517e6 + 2.20810e6i −0.516475 + 0.248721i
\(36\) −2.91108e6 + 5.04213e6i −0.288863 + 0.500326i
\(37\) −3.49242e6 6.04905e6i −0.306350 0.530615i 0.671211 0.741267i \(-0.265775\pi\)
−0.977561 + 0.210652i \(0.932441\pi\)
\(38\) −4.78164e6 3.26007e6i −0.372007 0.253630i
\(39\) −2.76376e6 + 1.21088e7i −0.191298 + 0.838129i
\(40\) 5.64785e6 + 851276.i 0.348829 + 0.0525776i
\(41\) −1.74301e7 2.18567e7i −0.963324 1.20797i −0.978112 0.208080i \(-0.933279\pi\)
0.0147877 0.999891i \(-0.495293\pi\)
\(42\) −3.53206e6 −0.175149
\(43\) −1.64853e6 + 2.23579e7i −0.0735341 + 0.997293i
\(44\) −1.34513e7 −0.541037
\(45\) 6.60364e6 + 8.28070e6i 0.240064 + 0.301031i
\(46\) 6.03182e6 + 909151.i 0.198627 + 0.0299382i
\(47\) 1.37646e7 6.03068e7i 0.411457 1.80271i −0.165814 0.986157i \(-0.553025\pi\)
0.577271 0.816553i \(-0.304118\pi\)
\(48\) −1.32988e7 9.06695e6i −0.361598 0.246533i
\(49\) 1.99385e6 + 3.45344e6i 0.0494094 + 0.0855795i
\(50\) −4.30303e6 + 7.45307e6i −0.0973665 + 0.168644i
\(51\) −5.38627e6 + 2.59389e6i −0.111487 + 0.0536891i
\(52\) 6.51921e7 + 2.01091e7i 1.23646 + 0.381397i
\(53\) −3.80896e6 5.08271e7i −0.0663079 0.884818i −0.926848 0.375436i \(-0.877493\pi\)
0.860541 0.509382i \(-0.170126\pi\)
\(54\) 4.20105e6 + 1.84060e7i 0.0672335 + 0.294569i
\(55\) −8.93990e6 + 2.27785e7i −0.131735 + 0.335655i
\(56\) −3.05004e6 + 4.07000e7i −0.0414438 + 0.553029i
\(57\) 6.96888e7 1.05039e7i 0.874433 0.131800i
\(58\) 2.74594e7 + 2.54786e7i 0.318614 + 0.295630i
\(59\) 3.01362e7 + 1.45128e7i 0.323783 + 0.155926i 0.588713 0.808342i \(-0.299635\pi\)
−0.264930 + 0.964268i \(0.585349\pi\)
\(60\) −2.73185e7 + 1.86255e7i −0.272130 + 0.185535i
\(61\) −4.66331e7 1.18819e8i −0.431231 1.09876i −0.967086 0.254448i \(-0.918106\pi\)
0.535856 0.844310i \(-0.319989\pi\)
\(62\) 5.52640e7 1.70467e7i 0.474985 0.146513i
\(63\) −5.54802e7 + 5.14781e7i −0.443716 + 0.411708i
\(64\) −4.01400e7 + 5.03339e7i −0.299066 + 0.375017i
\(65\) 7.73804e7 9.70320e7i 0.537676 0.674225i
\(66\) −1.24495e7 + 1.15514e7i −0.0807615 + 0.0749357i
\(67\) 2.39879e8 7.39928e7i 1.45430 0.448593i 0.535914 0.844272i \(-0.319967\pi\)
0.918389 + 0.395679i \(0.129491\pi\)
\(68\) 1.19972e7 + 3.05683e7i 0.0680439 + 0.173373i
\(69\) −6.13765e7 + 4.18458e7i −0.325973 + 0.222244i
\(70\) 3.17988e7 + 1.53135e7i 0.158296 + 0.0762313i
\(71\) 9.76040e7 + 9.05633e7i 0.455832 + 0.422950i 0.874378 0.485245i \(-0.161270\pi\)
−0.418546 + 0.908196i \(0.637460\pi\)
\(72\) 8.39925e7 1.26598e7i 0.368336 0.0555177i
\(73\) −2.51704e7 + 3.35876e8i −0.103738 + 1.38429i 0.666012 + 0.745941i \(0.268000\pi\)
−0.769750 + 0.638346i \(0.779619\pi\)
\(74\) −1.76974e7 + 4.50923e7i −0.0686069 + 0.174808i
\(75\) −2.33209e7 1.02176e8i −0.0851078 0.372882i
\(76\) −2.89294e7 3.86036e8i −0.0994667 1.32729i
\(77\) −1.67089e8 5.15400e7i −0.541675 0.167085i
\(78\) 7.76059e7 3.73730e7i 0.237394 0.114323i
\(79\) 2.21975e8 3.84472e8i 0.641184 1.11056i −0.343985 0.938975i \(-0.611777\pi\)
0.985169 0.171588i \(-0.0548897\pi\)
\(80\) 8.04171e7 + 1.39287e8i 0.219505 + 0.380193i
\(81\) 1.41445e7 + 9.64354e6i 0.0365094 + 0.0248917i
\(82\) −4.31417e7 + 1.89016e8i −0.105374 + 0.461675i
\(83\) 3.09972e8 + 4.67207e7i 0.716920 + 0.108058i 0.497364 0.867542i \(-0.334301\pi\)
0.219555 + 0.975600i \(0.429539\pi\)
\(84\) −1.47309e8 1.84720e8i −0.322830 0.404815i
\(85\) 5.97380e7 0.124127
\(86\) 1.28355e8 8.77368e7i 0.253029 0.172957i
\(87\) −4.56169e8 −0.853668
\(88\) 1.22357e8 + 1.53431e8i 0.217498 + 0.272734i
\(89\) −4.66794e8 7.03579e7i −0.788624 0.118866i −0.257632 0.966243i \(-0.582942\pi\)
−0.530992 + 0.847377i \(0.678180\pi\)
\(90\) 1.63448e7 7.16114e7i 0.0262597 0.115051i
\(91\) 7.32751e8 + 4.99581e8i 1.12013 + 0.763695i
\(92\) 2.04018e8 + 3.53370e8i 0.296909 + 0.514262i
\(93\) −3.52142e8 + 6.09928e8i −0.488141 + 0.845484i
\(94\) −3.86509e8 + 1.86133e8i −0.510604 + 0.245894i
\(95\) −6.72942e8 2.07575e8i −0.847659 0.261468i
\(96\) 3.02120e7 + 4.03151e8i 0.0363044 + 0.484448i
\(97\) −3.09749e8 1.35710e9i −0.355253 1.55646i −0.764856 0.644201i \(-0.777190\pi\)
0.409603 0.912264i \(-0.365667\pi\)
\(98\) 1.01036e7 2.57435e7i 0.0110652 0.0281936i
\(99\) −2.71949e7 + 3.62890e8i −0.0284530 + 0.379679i
\(100\) −5.69244e8 + 8.57998e7i −0.569244 + 0.0857998i
\(101\) −7.72378e8 7.16662e8i −0.738556 0.685280i 0.218287 0.975885i \(-0.429953\pi\)
−0.956843 + 0.290605i \(0.906144\pi\)
\(102\) 3.73546e7 + 1.79890e7i 0.0341699 + 0.0164553i
\(103\) −1.03561e9 + 7.06068e8i −0.906629 + 0.618129i −0.924280 0.381715i \(-0.875334\pi\)
0.0176513 + 0.999844i \(0.494381\pi\)
\(104\) −3.63634e8 9.26525e8i −0.304800 0.776617i
\(105\) −4.10710e8 + 1.26687e8i −0.329749 + 0.101714i
\(106\) −2.59120e8 + 2.40429e8i −0.199354 + 0.184974i
\(107\) 1.25089e9 1.56856e9i 0.922554 1.15685i −0.0647341 0.997903i \(-0.520620\pi\)
0.987288 0.158943i \(-0.0508087\pi\)
\(108\) −7.87387e8 + 9.87352e8i −0.556905 + 0.698337i
\(109\) −1.49390e8 + 1.38614e8i −0.101369 + 0.0940564i −0.729229 0.684269i \(-0.760121\pi\)
0.627861 + 0.778326i \(0.283931\pi\)
\(110\) 1.62164e8 5.00209e7i 0.105605 0.0325750i
\(111\) −2.15516e8 5.49127e8i −0.134749 0.343336i
\(112\) −9.49584e8 + 6.47415e8i −0.570233 + 0.388778i
\(113\) 6.14969e8 + 2.96153e8i 0.354814 + 0.170869i 0.602796 0.797895i \(-0.294053\pi\)
−0.247983 + 0.968765i \(0.579768\pi\)
\(114\) −3.58288e8 3.32442e8i −0.198683 0.184351i
\(115\) 7.33991e8 1.10631e8i 0.391337 0.0589845i
\(116\) −1.87251e8 + 2.49869e9i −0.0960202 + 1.28130i
\(117\) 6.74307e8 1.71811e9i 0.332676 0.847644i
\(118\) −5.16185e7 2.26155e8i −0.0245096 0.107384i
\(119\) 3.19004e7 + 4.25681e8i 0.0145826 + 0.194591i
\(120\) 4.60946e8 + 1.42183e8i 0.202925 + 0.0625939i
\(121\) 1.36694e9 6.58283e8i 0.579716 0.279176i
\(122\) −4.42610e8 + 7.66623e8i −0.180885 + 0.313302i
\(123\) −1.18050e9 2.04469e9i −0.465043 0.805478i
\(124\) 3.19636e9 + 2.17924e9i 1.21411 + 0.827767i
\(125\) −5.99808e8 + 2.62793e9i −0.219744 + 0.962761i
\(126\) 5.19016e8 + 7.82291e7i 0.183448 + 0.0276504i
\(127\) 1.38342e9 + 1.73475e9i 0.471885 + 0.591726i 0.959632 0.281260i \(-0.0907523\pi\)
−0.487746 + 0.872985i \(0.662181\pi\)
\(128\) 2.89740e9 0.954032
\(129\) −4.19099e8 + 1.84640e9i −0.133249 + 0.587044i
\(130\) −8.60711e8 −0.264309
\(131\) −3.27490e9 4.10659e9i −0.971576 1.21832i −0.975876 0.218326i \(-0.929940\pi\)
0.00430022 0.999991i \(-0.498631\pi\)
\(132\) −1.12334e9 1.69316e8i −0.322054 0.0485418i
\(133\) 1.11978e9 4.90609e9i 0.310314 1.35957i
\(134\) −1.43843e9 9.80706e8i −0.385405 0.262765i
\(135\) 1.14868e9 + 1.98957e9i 0.297644 + 0.515535i
\(136\) 2.39544e8 4.14903e8i 0.0600427 0.103997i
\(137\) −2.12253e9 + 1.02216e9i −0.514768 + 0.247899i −0.673186 0.739473i \(-0.735075\pi\)
0.158418 + 0.987372i \(0.449361\pi\)
\(138\) 4.92284e8 + 1.51850e8i 0.115547 + 0.0356416i
\(139\) 1.22371e6 + 1.63293e7i 0.000278043 + 0.00371022i 0.997341 0.0728749i \(-0.0232174\pi\)
−0.997063 + 0.0765851i \(0.975598\pi\)
\(140\) 5.25345e8 + 2.30168e9i 0.115576 + 0.506372i
\(141\) 1.90861e9 4.86307e9i 0.406660 1.03615i
\(142\) 6.90056e7 9.20815e8i 0.0142425 0.190053i
\(143\) 4.21659e9 6.35549e8i 0.843236 0.127097i
\(144\) 1.75336e9 + 1.62688e9i 0.339813 + 0.315300i
\(145\) 4.10684e9 + 1.97775e9i 0.771528 + 0.371549i
\(146\) 1.93000e9 1.31585e9i 0.351535 0.239672i
\(147\) 1.23040e8 + 3.13500e8i 0.0217329 + 0.0553745i
\(148\) −3.09634e9 + 9.55093e8i −0.530481 + 0.163632i
\(149\) 1.60188e9 1.48633e9i 0.266251 0.247045i −0.535737 0.844385i \(-0.679966\pi\)
0.801988 + 0.597340i \(0.203776\pi\)
\(150\) −4.53168e8 + 5.68255e8i −0.0730885 + 0.0916500i
\(151\) 5.09788e9 6.39254e9i 0.797983 1.00064i −0.201793 0.979428i \(-0.564677\pi\)
0.999775 0.0212101i \(-0.00675190\pi\)
\(152\) −4.14012e9 + 3.84147e9i −0.629096 + 0.583716i
\(153\) 8.48931e8 2.61860e8i 0.125245 0.0386330i
\(154\) 4.43034e8 + 1.12883e9i 0.0634737 + 0.161728i
\(155\) 5.81469e9 3.96439e9i 0.809159 0.551675i
\(156\) 5.19119e9 + 2.49994e9i 0.701788 + 0.337963i
\(157\) −3.97844e9 3.69145e9i −0.522594 0.484896i 0.374198 0.927349i \(-0.377918\pi\)
−0.896792 + 0.442453i \(0.854108\pi\)
\(158\) −3.04447e9 + 4.58881e8i −0.388647 + 0.0585791i
\(159\) 3.21686e8 4.29260e9i 0.0399158 0.532640i
\(160\) 1.47589e9 3.76052e9i 0.178039 0.453636i
\(161\) 1.18029e9 + 5.17119e9i 0.138443 + 0.606560i
\(162\) −8.87223e6 1.18392e8i −0.00101208 0.0135053i
\(163\) 6.22832e9 + 1.92118e9i 0.691077 + 0.213169i 0.620348 0.784326i \(-0.286991\pi\)
0.0707290 + 0.997496i \(0.477467\pi\)
\(164\) −1.16844e10 + 5.62693e9i −1.26128 + 0.607399i
\(165\) −1.03331e9 + 1.78974e9i −0.108531 + 0.187980i
\(166\) −1.08699e9 1.88272e9i −0.111106 0.192442i
\(167\) 1.10501e10 + 7.53382e9i 1.09936 + 0.749534i 0.970252 0.242096i \(-0.0778350\pi\)
0.129112 + 0.991630i \(0.458787\pi\)
\(168\) −7.67020e8 + 3.36053e9i −0.0742873 + 0.325474i
\(169\) −1.08999e10 1.64290e9i −1.02786 0.154925i
\(170\) −2.58307e8 3.23907e8i −0.0237201 0.0297440i
\(171\) −1.04730e10 −0.936675
\(172\) 9.94169e9 + 3.05355e9i 0.866128 + 0.266028i
\(173\) −8.16020e9 −0.692618 −0.346309 0.938121i \(-0.612565\pi\)
−0.346309 + 0.938121i \(0.612565\pi\)
\(174\) 1.97247e9 + 2.47340e9i 0.163132 + 0.204561i
\(175\) −7.39977e9 1.11534e9i −0.596413 0.0898947i
\(176\) −1.22967e9 + 5.38752e9i −0.0966007 + 0.423235i
\(177\) 2.33405e9 + 1.59133e9i 0.178743 + 0.121865i
\(178\) 1.63693e9 + 2.83524e9i 0.122219 + 0.211690i
\(179\) 1.89602e9 3.28400e9i 0.138040 0.239092i −0.788715 0.614759i \(-0.789253\pi\)
0.926755 + 0.375668i \(0.122587\pi\)
\(180\) 4.42682e9 2.13184e9i 0.314315 0.151366i
\(181\) −8.14823e9 2.51340e9i −0.564300 0.174063i −0.000536461 1.00000i \(-0.500171\pi\)
−0.563763 + 0.825936i \(0.690647\pi\)
\(182\) −4.59623e8 6.13325e9i −0.0310514 0.414352i
\(183\) −2.39879e9 1.05098e10i −0.158111 0.692730i
\(184\) 2.17486e9 5.54146e9i 0.139879 0.356405i
\(185\) −4.40504e8 + 5.87812e9i −0.0276489 + 0.368948i
\(186\) 4.82976e9 7.27970e8i 0.295881 0.0445970i
\(187\) 1.50461e9 + 1.39607e9i 0.0899780 + 0.0834874i
\(188\) −2.58542e10 1.24507e10i −1.50946 0.726917i
\(189\) −1.35639e10 + 9.24769e9i −0.773225 + 0.527176i
\(190\) 1.78430e9 + 4.54632e9i 0.0993292 + 0.253087i
\(191\) −3.30219e10 + 1.01859e10i −1.79536 + 0.553796i −0.998717 0.0506487i \(-0.983871\pi\)
−0.796647 + 0.604445i \(0.793395\pi\)
\(192\) −3.98573e9 + 3.69822e9i −0.211667 + 0.196398i
\(193\) 2.81551e9 3.53053e9i 0.146066 0.183161i −0.703416 0.710778i \(-0.748343\pi\)
0.849482 + 0.527617i \(0.176914\pi\)
\(194\) −6.01900e9 + 7.54759e9i −0.305082 + 0.382561i
\(195\) 7.68355e9 7.12930e9i 0.380545 0.353094i
\(196\) 1.76772e9 5.45269e8i 0.0855580 0.0263912i
\(197\) −7.94080e9 2.02328e10i −0.375635 0.957102i −0.986263 0.165184i \(-0.947178\pi\)
0.610628 0.791918i \(-0.290917\pi\)
\(198\) 2.08522e9 1.42168e9i 0.0964183 0.0657369i
\(199\) −1.31058e10 6.31143e9i −0.592414 0.285292i 0.113558 0.993531i \(-0.463775\pi\)
−0.705972 + 0.708240i \(0.749490\pi\)
\(200\) 6.15667e9 + 5.71256e9i 0.272089 + 0.252462i
\(201\) 2.09641e10 3.15982e9i 0.905927 0.136547i
\(202\) −5.46067e8 + 7.28676e9i −0.0230762 + 0.307931i
\(203\) −1.19000e10 + 3.03206e10i −0.491828 + 1.25316i
\(204\) 6.17131e8 + 2.70383e9i 0.0249483 + 0.109306i
\(205\) 1.76305e9 + 2.35262e10i 0.0697223 + 0.930380i
\(206\) 8.30636e9 + 2.56217e9i 0.321372 + 0.0991302i
\(207\) 9.94572e9 4.78961e9i 0.376504 0.181315i
\(208\) 1.40137e10 2.42725e10i 0.519122 0.899145i
\(209\) −1.20982e10 2.09547e10i −0.438595 0.759668i
\(210\) 2.46282e9 + 1.67912e9i 0.0873867 + 0.0595793i
\(211\) 1.45754e9 6.38589e9i 0.0506231 0.221794i −0.943289 0.331974i \(-0.892285\pi\)
0.993912 + 0.110179i \(0.0351426\pi\)
\(212\) −2.33809e10 3.52410e9i −0.794968 0.119822i
\(213\) 7.01113e9 + 8.79168e9i 0.233389 + 0.292660i
\(214\) −1.39138e10 −0.453506
\(215\) 1.17783e10 1.48059e10i 0.375931 0.472565i
\(216\) 1.84244e10 0.575906
\(217\) 3.13545e10 + 3.93172e10i 0.959910 + 1.20369i
\(218\) 1.39755e9 + 2.10646e8i 0.0419094 + 0.00631683i
\(219\) −6.32982e9 + 2.77328e10i −0.185949 + 0.814694i
\(220\) 9.37924e9 + 6.39466e9i 0.269939 + 0.184041i
\(221\) −5.20507e9 9.01544e9i −0.146778 0.254227i
\(222\) −2.04554e9 + 3.54298e9i −0.0565222 + 0.0978994i
\(223\) 5.21342e10 2.51065e10i 1.41173 0.679852i 0.436224 0.899838i \(-0.356316\pi\)
0.975503 + 0.219986i \(0.0706012\pi\)
\(224\) 2.75848e10 + 8.50878e9i 0.732071 + 0.225814i
\(225\) 1.16386e9 + 1.55306e10i 0.0302746 + 0.403987i
\(226\) −1.05334e9 4.61500e9i −0.0268585 0.117675i
\(227\) 8.10191e9 2.06433e10i 0.202521 0.516016i −0.793143 0.609036i \(-0.791557\pi\)
0.995664 + 0.0930195i \(0.0296519\pi\)
\(228\) 2.44323e9 3.26027e10i 0.0598767 0.798999i
\(229\) −1.52153e10 + 2.29334e9i −0.365613 + 0.0551074i −0.329280 0.944232i \(-0.606806\pi\)
−0.0363336 + 0.999340i \(0.511568\pi\)
\(230\) −3.77363e9 3.50142e9i −0.0889169 0.0825028i
\(231\) −1.33051e10 6.40740e9i −0.307443 0.148057i
\(232\) 3.02043e10 2.05929e10i 0.684498 0.466683i
\(233\) −2.80329e10 7.14267e10i −0.623113 1.58766i −0.797721 0.603027i \(-0.793961\pi\)
0.174608 0.984638i \(-0.444134\pi\)
\(234\) −1.22315e10 + 3.77291e9i −0.266690 + 0.0822631i
\(235\) −3.82672e10 + 3.55068e10i −0.818505 + 0.759461i
\(236\) 9.67466e9 1.21316e10i 0.203017 0.254575i
\(237\) 2.33770e10 2.93139e10i 0.481307 0.603540i
\(238\) 2.17015e9 2.01361e9i 0.0438424 0.0406798i
\(239\) 3.06429e10 9.45209e9i 0.607491 0.187386i 0.0242776 0.999705i \(-0.492271\pi\)
0.583213 + 0.812319i \(0.301795\pi\)
\(240\) 4.96252e9 + 1.26443e10i 0.0965500 + 0.246005i
\(241\) 4.46454e10 3.04387e10i 0.852511 0.581232i −0.0563125 0.998413i \(-0.517934\pi\)
0.908823 + 0.417181i \(0.136982\pi\)
\(242\) −9.47993e9 4.56529e9i −0.177679 0.0855656i
\(243\) 4.03385e10 + 3.74287e10i 0.742150 + 0.688615i
\(244\) −5.85525e10 + 8.82537e9i −1.05753 + 0.159396i
\(245\) 2.51487e8 3.35586e9i 0.00445931 0.0595054i
\(246\) −5.98205e9 + 1.52420e10i −0.104146 + 0.265359i
\(247\) 2.73080e10 + 1.19644e11i 0.466825 + 2.04529i
\(248\) −4.21775e9 5.62820e10i −0.0708025 0.944793i
\(249\) 2.52982e10 + 7.80346e9i 0.417054 + 0.128644i
\(250\) 1.68425e10 8.11092e9i 0.272695 0.131323i
\(251\) −4.63534e10 + 8.02864e10i −0.737140 + 1.27676i 0.216638 + 0.976252i \(0.430491\pi\)
−0.953778 + 0.300512i \(0.902843\pi\)
\(252\) 1.75550e10 + 3.04061e10i 0.274220 + 0.474962i
\(253\) 2.10723e10 + 1.43669e10i 0.323348 + 0.220455i
\(254\) 3.42413e9 1.50021e10i 0.0516177 0.226152i
\(255\) 4.98883e9 + 7.51945e8i 0.0738870 + 0.0111367i
\(256\) 8.02333e9 + 1.00609e10i 0.116755 + 0.146406i
\(257\) −3.29005e10 −0.470439 −0.235220 0.971942i \(-0.575581\pi\)
−0.235220 + 0.971942i \(0.575581\pi\)
\(258\) 1.18236e10 5.71140e9i 0.166134 0.0802517i
\(259\) −4.21215e10 −0.581641
\(260\) −3.58971e10 4.50135e10i −0.487168 0.610890i
\(261\) 6.70313e10 + 1.01033e10i 0.894119 + 0.134767i
\(262\) −8.10578e9 + 3.55137e10i −0.106277 + 0.465630i
\(263\) 1.19446e10 + 8.14372e9i 0.153947 + 0.104960i 0.637844 0.770166i \(-0.279826\pi\)
−0.483896 + 0.875125i \(0.660779\pi\)
\(264\) 8.28694e9 + 1.43534e10i 0.104997 + 0.181860i
\(265\) −2.15070e10 + 3.72512e10i −0.267900 + 0.464017i
\(266\) −3.14433e10 + 1.51423e10i −0.385089 + 0.185449i
\(267\) −3.80972e10 1.17514e10i −0.458767 0.141511i
\(268\) −8.70264e9 1.16129e11i −0.103049 1.37510i
\(269\) −1.01906e10 4.46479e10i −0.118663 0.519896i −0.998965 0.0454825i \(-0.985517\pi\)
0.880302 0.474413i \(-0.157340\pi\)
\(270\) 5.82081e9 1.48312e10i 0.0666571 0.169840i
\(271\) 4.66258e9 6.22179e10i 0.0525128 0.700734i −0.907370 0.420333i \(-0.861913\pi\)
0.959883 0.280401i \(-0.0904676\pi\)
\(272\) 1.33400e10 2.01068e9i 0.147773 0.0222732i
\(273\) 5.49049e10 + 5.09443e10i 0.598245 + 0.555090i
\(274\) 1.47201e10 + 7.08881e9i 0.157773 + 0.0759794i
\(275\) −2.97297e10 + 2.02694e10i −0.313468 + 0.213719i
\(276\) 1.25899e10 + 3.20786e10i 0.130597 + 0.332755i
\(277\) 2.34525e10 7.23414e9i 0.239348 0.0738292i −0.172760 0.984964i \(-0.555269\pi\)
0.412109 + 0.911135i \(0.364792\pi\)
\(278\) 8.32478e7 7.72427e7i 0.000835933 0.000775632i
\(279\) 6.52541e10 8.18260e10i 0.644746 0.808486i
\(280\) 2.14752e10 2.69291e10i 0.208798 0.261824i
\(281\) −4.24412e10 + 3.93797e10i −0.406078 + 0.376785i −0.856601 0.515979i \(-0.827428\pi\)
0.450523 + 0.892765i \(0.351238\pi\)
\(282\) −3.46209e10 + 1.06791e10i −0.326000 + 0.100558i
\(283\) −3.69704e9 9.41990e9i −0.0342622 0.0872986i 0.912719 0.408588i \(-0.133979\pi\)
−0.946981 + 0.321290i \(0.895884\pi\)
\(284\) 5.10348e10 3.47949e10i 0.465515 0.317383i
\(285\) −5.35857e10 2.58055e10i −0.481113 0.231692i
\(286\) −2.16785e10 2.01147e10i −0.191594 0.177774i
\(287\) −1.66702e11 + 2.51262e10i −1.45034 + 0.218604i
\(288\) 4.48962e9 5.99098e10i 0.0384542 0.513135i
\(289\) −4.14944e10 + 1.05726e11i −0.349904 + 0.891541i
\(290\) −7.03436e9 3.08196e10i −0.0584028 0.255879i
\(291\) −8.78538e9 1.17233e11i −0.0718195 0.958364i
\(292\) 1.49309e11 + 4.60558e10i 1.20189 + 0.370733i
\(293\) −1.36295e11 + 6.56361e10i −1.08038 + 0.520282i −0.887437 0.460929i \(-0.847516\pi\)
−0.192939 + 0.981211i \(0.561802\pi\)
\(294\) 1.16781e9 2.02271e9i 0.00911612 0.0157896i
\(295\) −1.41139e10 2.44460e10i −0.108505 0.187935i
\(296\) 3.90593e10 + 2.66302e10i 0.295741 + 0.201633i
\(297\) −1.75646e10 + 7.69554e10i −0.130989 + 0.573899i
\(298\) −1.49856e10 2.25871e9i −0.110078 0.0165916i
\(299\) −8.06499e10 1.01132e11i −0.583557 0.731757i
\(300\) −4.86186e10 −0.346543
\(301\) 1.11793e11 + 7.60231e10i 0.784994 + 0.533822i
\(302\) −5.67043e10 −0.392270
\(303\) −5.54817e10 6.95719e10i −0.378145 0.474179i
\(304\) −1.57260e11 2.37031e10i −1.05606 0.159175i
\(305\) −2.39698e10 + 1.05019e11i −0.158604 + 0.694891i
\(306\) −5.09061e9 3.47072e9i −0.0331912 0.0226294i
\(307\) −5.86016e10 1.01501e11i −0.376519 0.652150i 0.614034 0.789280i \(-0.289546\pi\)
−0.990553 + 0.137129i \(0.956212\pi\)
\(308\) −4.05584e10 + 7.02492e10i −0.256805 + 0.444799i
\(309\) −9.53733e10 + 4.59294e10i −0.595132 + 0.286601i
\(310\) −4.66380e10 1.43859e10i −0.286822 0.0884729i
\(311\) 2.28164e10 + 3.04463e11i 0.138301 + 1.84550i 0.447239 + 0.894415i \(0.352408\pi\)
−0.308938 + 0.951082i \(0.599973\pi\)
\(312\) −1.87052e10 8.19529e10i −0.111755 0.489631i
\(313\) −2.37431e10 + 6.04963e10i −0.139826 + 0.356270i −0.983583 0.180454i \(-0.942243\pi\)
0.843758 + 0.536724i \(0.180338\pi\)
\(314\) −2.81274e9 + 3.75334e10i −0.0163285 + 0.217888i
\(315\) 6.31572e10 9.51942e9i 0.361431 0.0544770i
\(316\) −1.50972e11 1.40082e11i −0.851736 0.790296i
\(317\) 2.41891e11 + 1.16488e11i 1.34540 + 0.647912i 0.961332 0.275391i \(-0.0888075\pi\)
0.384071 + 0.923304i \(0.374522\pi\)
\(318\) −2.46660e10 + 1.68170e10i −0.135262 + 0.0922201i
\(319\) 5.72182e10 + 1.45790e11i 0.309369 + 0.788258i
\(320\) 5.19170e10 1.60143e10i 0.276780 0.0853753i
\(321\) 1.24208e11 1.15248e11i 0.652946 0.605845i
\(322\) 2.29352e10 2.87599e10i 0.118892 0.149086i
\(323\) −3.68297e10 + 4.61829e10i −0.188272 + 0.236086i
\(324\) 5.82162e9 5.40167e9i 0.0293489 0.0272318i
\(325\) 1.74388e11 5.37915e10i 0.867044 0.267448i
\(326\) −1.65143e10 4.20779e10i −0.0809808 0.206336i
\(327\) −1.42206e10 + 9.69547e9i −0.0687788 + 0.0468926i
\(328\) 1.70468e11 + 8.20931e10i 0.813225 + 0.391628i
\(329\) −2.73449e11 2.53723e11i −1.28675 1.19393i
\(330\) 1.41722e10 2.13612e9i 0.0657847 0.00991544i
\(331\) −4.98309e6 + 6.64947e7i −2.28177e−5 + 0.000304482i −0.997215 0.0745779i \(-0.976239\pi\)
0.997192 + 0.0748823i \(0.0238581\pi\)
\(332\) 5.31283e10 1.35369e11i 0.239996 0.611501i
\(333\) 1.95067e10 + 8.54642e10i 0.0869328 + 0.380878i
\(334\) −6.93125e9 9.24911e10i −0.0304756 0.406669i
\(335\) −2.02437e11 6.24435e10i −0.878189 0.270886i
\(336\) −8.74507e10 + 4.21140e10i −0.374314 + 0.180260i
\(337\) −2.49507e10 + 4.32159e10i −0.105378 + 0.182519i −0.913892 0.405956i \(-0.866938\pi\)
0.808515 + 0.588476i \(0.200272\pi\)
\(338\) 3.82232e10 + 6.62046e10i 0.159295 + 0.275907i
\(339\) 4.76293e10 + 3.24731e10i 0.195874 + 0.133544i
\(340\) 6.16666e9 2.70179e10i 0.0250262 0.109647i
\(341\) 2.39101e11 + 3.60386e10i 0.957604 + 0.144336i
\(342\) 4.52852e10 + 5.67859e10i 0.178994 + 0.224452i
\(343\) 2.67396e11 1.04311
\(344\) −5.56025e10 1.41175e11i −0.214082 0.543555i
\(345\) 6.26895e10 0.238237
\(346\) 3.52847e10 + 4.42456e10i 0.132356 + 0.165969i
\(347\) 2.67061e9 + 4.02529e8i 0.00988842 + 0.00149044i 0.153985 0.988073i \(-0.450789\pi\)
−0.144096 + 0.989564i \(0.546027\pi\)
\(348\) −4.70895e10 + 2.06313e11i −0.172115 + 0.754083i
\(349\) 4.40963e11 + 3.00643e11i 1.59106 + 1.08477i 0.947678 + 0.319227i \(0.103423\pi\)
0.643386 + 0.765542i \(0.277529\pi\)
\(350\) 2.59491e10 + 4.49451e10i 0.0924306 + 0.160094i
\(351\) 2.00173e11 3.46709e11i 0.703919 1.21922i
\(352\) 1.25056e11 6.02237e10i 0.434172 0.209086i
\(353\) −3.77754e11 1.16522e11i −1.29486 0.399412i −0.430640 0.902524i \(-0.641712\pi\)
−0.864221 + 0.503112i \(0.832188\pi\)
\(354\) −1.46405e9 1.95364e10i −0.00495497 0.0661195i
\(355\) −2.50036e10 1.09548e11i −0.0835554 0.366080i
\(356\) −8.00073e10 + 2.03855e11i −0.264000 + 0.672662i
\(357\) −2.69415e9 + 3.59509e10i −0.00877838 + 0.117139i
\(358\) −2.60046e10 + 3.91956e9i −0.0836713 + 0.0126114i
\(359\) −2.24326e11 2.08144e11i −0.712779 0.661363i 0.237988 0.971268i \(-0.423512\pi\)
−0.950767 + 0.309906i \(0.899703\pi\)
\(360\) −6.45842e10 3.11021e10i −0.202659 0.0975953i
\(361\) 3.08739e11 2.10495e11i 0.956774 0.652317i
\(362\) 2.16050e10 + 5.50486e10i 0.0661249 + 0.168484i
\(363\) 1.22442e11 3.77682e10i 0.370126 0.114169i
\(364\) 3.01588e11 2.79832e11i 0.900445 0.835491i
\(365\) 1.77224e11 2.22232e11i 0.522642 0.655373i
\(366\) −4.66129e10 + 5.84507e10i −0.135782 + 0.170265i
\(367\) 8.62630e10 8.00404e10i 0.248215 0.230310i −0.546247 0.837624i \(-0.683944\pi\)
0.794461 + 0.607315i \(0.207753\pi\)
\(368\) 1.60182e11 4.94097e10i 0.455302 0.140442i
\(369\) 1.28181e11 + 3.26601e11i 0.359920 + 0.917061i
\(370\) 3.37766e10 2.30285e10i 0.0936932 0.0638789i
\(371\) −2.76929e11 1.33362e11i −0.758902 0.365468i
\(372\) 2.39503e11 + 2.22226e11i 0.648437 + 0.601661i
\(373\) −5.46811e11 + 8.24184e10i −1.46267 + 0.220462i −0.831649 0.555301i \(-0.812603\pi\)
−0.631024 + 0.775764i \(0.717365\pi\)
\(374\) 1.06375e9 1.41948e10i 0.00281137 0.0375151i
\(375\) −8.31697e10 + 2.11913e11i −0.217182 + 0.553372i
\(376\) 9.31595e10 + 4.08159e11i 0.240371 + 1.05313i
\(377\) −5.93607e10 7.92114e11i −0.151343 2.01954i
\(378\) 1.08792e11 + 3.35580e10i 0.274085 + 0.0845439i
\(379\) 1.91421e11 9.21836e10i 0.476556 0.229497i −0.180157 0.983638i \(-0.557661\pi\)
0.656713 + 0.754141i \(0.271946\pi\)
\(380\) −1.63347e11 + 2.82926e11i −0.401870 + 0.696059i
\(381\) 9.36957e10 + 1.62286e11i 0.227802 + 0.394564i
\(382\) 1.98016e11 + 1.35005e11i 0.475790 + 0.324388i
\(383\) −1.21786e11 + 5.33579e11i −0.289203 + 1.26708i 0.596419 + 0.802673i \(0.296590\pi\)
−0.885622 + 0.464407i \(0.846267\pi\)
\(384\) 2.41967e11 + 3.64706e10i 0.567891 + 0.0855958i
\(385\) 9.20048e10 + 1.15370e11i 0.213421 + 0.267622i
\(386\) −3.13172e10 −0.0718026
\(387\) 1.02478e11 2.62035e11i 0.232238 0.593826i
\(388\) −6.45754e11 −1.44652
\(389\) 1.06906e11 + 1.34056e11i 0.236717 + 0.296834i 0.885974 0.463735i \(-0.153491\pi\)
−0.649256 + 0.760570i \(0.724920\pi\)
\(390\) −7.18795e10 1.08341e10i −0.157331 0.0237138i
\(391\) 1.38546e10 6.07010e10i 0.0299778 0.131341i
\(392\) −2.22992e10 1.52034e10i −0.0476983 0.0325201i
\(393\) −2.21801e11 3.84171e11i −0.469026 0.812377i
\(394\) −7.53687e10 + 1.30542e11i −0.157564 + 0.272910i
\(395\) −3.37553e11 + 1.62557e11i −0.697679 + 0.335984i
\(396\) 1.61318e11 + 4.97601e10i 0.329651 + 0.101684i
\(397\) −1.72668e10 2.30409e11i −0.0348862 0.465524i −0.987101 0.160096i \(-0.948820\pi\)
0.952215 0.305428i \(-0.0987995\pi\)
\(398\) 2.24482e10 + 9.83519e10i 0.0448443 + 0.196476i
\(399\) 1.55270e11 3.95621e11i 0.306697 0.781450i
\(400\) −1.76736e10 + 2.35838e11i −0.0345187 + 0.460620i
\(401\) 9.01270e11 1.35845e11i 1.74063 0.262357i 0.799561 0.600585i \(-0.205066\pi\)
0.941064 + 0.338228i \(0.109827\pi\)
\(402\) −1.07781e11 1.00007e11i −0.205839 0.190990i
\(403\) −1.10493e12 5.32108e11i −2.08672 1.00491i
\(404\) −4.03858e11 + 2.75346e11i −0.754245 + 0.514235i
\(405\) −5.27810e9 1.34484e10i −0.00974833 0.0248383i
\(406\) 2.15857e11 6.65832e10i 0.394275 0.121618i
\(407\) −1.48466e11 + 1.37756e11i −0.268196 + 0.248849i
\(408\) 2.52273e10 3.16340e10i 0.0450713 0.0565176i
\(409\) −4.84456e10 + 6.07489e10i −0.0856051 + 0.107345i −0.822790 0.568346i \(-0.807583\pi\)
0.737184 + 0.675692i \(0.236155\pi\)
\(410\) 1.19939e11 1.11287e11i 0.209620 0.194499i
\(411\) −1.90123e11 + 5.86450e10i −0.328659 + 0.101378i
\(412\) 2.12431e11 + 5.41265e11i 0.363229 + 0.925492i
\(413\) 1.66660e11 1.13627e11i 0.281875 0.192179i
\(414\) −6.89750e10 3.32166e10i −0.115396 0.0555717i
\(415\) −1.93925e11 1.79936e11i −0.320935 0.297784i
\(416\) −6.96120e11 + 1.04923e11i −1.13963 + 0.171772i
\(417\) −1.03348e8 + 1.37909e9i −0.000167375 + 0.00223347i
\(418\) −6.13064e10 + 1.56206e11i −0.0982228 + 0.250268i
\(419\) −1.48863e11 6.52213e11i −0.235953 1.03378i −0.944603 0.328216i \(-0.893553\pi\)
0.708650 0.705560i \(-0.249305\pi\)
\(420\) 1.49003e10 + 1.98830e11i 0.0233654 + 0.311789i
\(421\) −4.11652e11 1.26978e11i −0.638648 0.196997i −0.0415133 0.999138i \(-0.513218\pi\)
−0.597134 + 0.802141i \(0.703694\pi\)
\(422\) −4.09275e10 + 1.97096e10i −0.0628216 + 0.0302533i
\(423\) −3.88168e11 + 6.72326e11i −0.589505 + 1.02105i
\(424\) 1.72482e11 + 2.98748e11i 0.259178 + 0.448909i
\(425\) 7.25784e10 + 4.94831e10i 0.107909 + 0.0735710i
\(426\) 1.73534e10 7.60303e10i 0.0255295 0.111852i
\(427\) −7.61140e11 1.14723e11i −1.10800 0.167004i
\(428\) −5.80292e11 7.27663e11i −0.835891 1.04817i
\(429\) 3.60135e11 0.513343
\(430\) −1.31208e11 + 1.57361e8i −0.185077 + 0.000221967i
\(431\) −3.69134e11 −0.515271 −0.257636 0.966242i \(-0.582943\pi\)
−0.257636 + 0.966242i \(0.582943\pi\)
\(432\) 3.23475e11 + 4.05625e11i 0.446852 + 0.560335i
\(433\) 1.07173e12 + 1.61537e11i 1.46518 + 0.220840i 0.832693 0.553735i \(-0.186798\pi\)
0.632483 + 0.774575i \(0.282036\pi\)
\(434\) 7.76062e10 3.40015e11i 0.105001 0.460039i
\(435\) 3.18075e11 + 2.16860e11i 0.425920 + 0.290387i
\(436\) 4.72701e10 + 8.18741e10i 0.0626465 + 0.108507i
\(437\) −3.66992e11 + 6.35648e11i −0.481382 + 0.833778i
\(438\) 1.77740e11 8.55953e10i 0.230756 0.111126i
\(439\) 1.36411e11 + 4.20773e10i 0.175291 + 0.0540701i 0.381158 0.924510i \(-0.375525\pi\)
−0.205867 + 0.978580i \(0.566001\pi\)
\(440\) −1.23763e10 1.65151e11i −0.0157418 0.210060i
\(441\) −1.11365e10 4.87921e10i −0.0140209 0.0614294i
\(442\) −2.63761e10 + 6.72052e10i −0.0328708 + 0.0837535i
\(443\) −1.43362e10 + 1.91303e11i −0.0176855 + 0.235996i 0.981355 + 0.192203i \(0.0615633\pi\)
−0.999041 + 0.0437931i \(0.986056\pi\)
\(444\) −2.70602e11 + 4.07868e10i −0.330452 + 0.0498076i
\(445\) 2.92036e11 + 2.70970e11i 0.353034 + 0.327567i
\(446\) −3.61558e11 1.74117e11i −0.432685 0.208370i
\(447\) 1.52485e11 1.03962e11i 0.180652 0.123166i
\(448\) 1.41838e11 + 3.61398e11i 0.166357 + 0.423872i
\(449\) 2.54026e11 7.83565e10i 0.294964 0.0909843i −0.143741 0.989615i \(-0.545913\pi\)
0.438705 + 0.898631i \(0.355437\pi\)
\(450\) 7.91762e10 7.34648e10i 0.0910204 0.0844545i
\(451\) −5.05401e11 + 6.33752e11i −0.575230 + 0.721315i
\(452\) 1.97424e11 2.47562e11i 0.222473 0.278973i
\(453\) 5.06198e11 4.69683e11i 0.564779 0.524039i
\(454\) −1.46963e11 + 4.53321e10i −0.162352 + 0.0500789i
\(455\) −2.73431e11 6.96690e11i −0.299086 0.762059i
\(456\) −3.94103e11 + 2.68695e11i −0.426843 + 0.291016i
\(457\) −4.63400e11 2.23162e11i −0.496974 0.239330i 0.168569 0.985690i \(-0.446086\pi\)
−0.665543 + 0.746360i \(0.731800\pi\)
\(458\) 7.82259e10 + 7.25830e10i 0.0830722 + 0.0770797i
\(459\) 1.90549e11 2.87206e10i 0.200377 0.0302020i
\(460\) 2.57331e10 3.43385e11i 0.0267967 0.357578i
\(461\) −3.54769e11 + 9.03936e11i −0.365840 + 0.932145i 0.622873 + 0.782323i \(0.285965\pi\)
−0.988713 + 0.149822i \(0.952130\pi\)
\(462\) 2.27895e10 + 9.98475e10i 0.0232727 + 0.101964i
\(463\) 3.46394e10 + 4.62231e11i 0.0350313 + 0.467460i 0.986941 + 0.161082i \(0.0514983\pi\)
−0.951910 + 0.306379i \(0.900883\pi\)
\(464\) 9.83658e11 + 3.03418e11i 0.985175 + 0.303886i
\(465\) 5.35496e11 2.57881e11i 0.531151 0.255789i
\(466\) −2.66070e11 + 4.60846e11i −0.261372 + 0.452709i
\(467\) −7.07801e10 1.22595e11i −0.0688629 0.119274i 0.829538 0.558450i \(-0.188604\pi\)
−0.898401 + 0.439176i \(0.855270\pi\)
\(468\) −7.07445e11 4.82328e11i −0.681689 0.464768i
\(469\) 3.36857e11 1.47587e12i 0.321491 1.40854i
\(470\) 3.57989e11 + 5.39582e10i 0.338399 + 0.0510055i
\(471\) −2.85781e11 3.58358e11i −0.267571 0.335523i
\(472\) −2.26382e11 −0.209944
\(473\) 6.42669e11 9.76551e10i 0.590353 0.0897057i
\(474\) −2.60025e11 −0.236599
\(475\) −6.45645e11 8.09613e11i −0.581932 0.729720i
\(476\) 1.95817e11 + 2.95146e10i 0.174831 + 0.0263515i
\(477\) −1.42344e11 + 6.23648e11i −0.125894 + 0.551578i
\(478\) −1.83750e11 1.25279e11i −0.160991 0.109762i
\(479\) −3.38395e11 5.86117e11i −0.293707 0.508715i 0.680976 0.732305i \(-0.261556\pi\)
−0.974683 + 0.223590i \(0.928222\pi\)
\(480\) 1.70589e11 2.95470e11i 0.146679 0.254055i
\(481\) 9.25486e11 4.45690e11i 0.788346 0.379647i
\(482\) −3.58089e11 1.10456e11i −0.302189 0.0932130i
\(483\) 3.34764e10 + 4.46712e11i 0.0279883 + 0.373478i
\(484\) −1.56617e11 6.86183e11i −0.129728 0.568376i
\(485\) −4.29177e11 + 1.09352e12i −0.352207 + 0.897410i
\(486\) 2.85192e10 3.80562e11i 0.0231885 0.309430i
\(487\) 8.16387e11 1.23051e11i 0.657682 0.0991296i 0.188282 0.982115i \(-0.439708\pi\)
0.469400 + 0.882985i \(0.344470\pi\)
\(488\) 6.33276e11 + 5.87594e11i 0.505480 + 0.469017i
\(489\) 4.95955e11 + 2.38839e11i 0.392241 + 0.188893i
\(490\) −1.92833e10 + 1.31471e10i −0.0151112 + 0.0103026i
\(491\) 7.00406e11 + 1.78461e12i 0.543855 + 1.38572i 0.893595 + 0.448874i \(0.148175\pi\)
−0.349740 + 0.936847i \(0.613730\pi\)
\(492\) −1.04662e12 + 3.22839e11i −0.805276 + 0.248395i
\(493\) 2.80277e11 2.60059e11i 0.213686 0.198272i
\(494\) 5.30645e11 6.65408e11i 0.400897 0.502709i
\(495\) 1.91478e11 2.40106e11i 0.143349 0.179754i
\(496\) 1.16503e12 1.08099e12i 0.864311 0.801964i
\(497\) 7.67262e11 2.36669e11i 0.564079 0.173995i
\(498\) −6.70779e10 1.70912e11i −0.0488706 0.124520i
\(499\) 1.02945e12 7.01868e11i 0.743282 0.506761i −0.131477 0.991319i \(-0.541972\pi\)
0.874759 + 0.484558i \(0.161020\pi\)
\(500\) 1.12662e12 + 5.42553e11i 0.806146 + 0.388220i
\(501\) 8.27981e11 + 7.68254e11i 0.587152 + 0.544798i
\(502\) 6.35754e11 9.58245e10i 0.446810 0.0673457i
\(503\) 1.47210e9 1.96439e10i 0.00102537 0.0136827i −0.996668 0.0815697i \(-0.974007\pi\)
0.997693 + 0.0678870i \(0.0216257\pi\)
\(504\) 1.87139e11 4.76822e11i 0.129189 0.329169i
\(505\) 1.97863e11 + 8.66893e11i 0.135379 + 0.593136i
\(506\) −1.32178e10 1.76379e11i −0.00896356 0.119610i
\(507\) −8.89592e11 2.74403e11i −0.597936 0.184439i
\(508\) 9.27388e11 4.46607e11i 0.617838 0.297535i
\(509\) −2.58743e11 + 4.48156e11i −0.170859 + 0.295937i −0.938721 0.344679i \(-0.887988\pi\)
0.767861 + 0.640616i \(0.221321\pi\)
\(510\) −1.74945e10 3.03014e10i −0.0114508 0.0198334i
\(511\) 1.67822e12 + 1.14419e12i 1.08881 + 0.742341i
\(512\) 3.49961e11 1.53328e12i 0.225064 0.986068i
\(513\) −2.24630e12 3.38576e11i −1.43199 0.215838i
\(514\) 1.42262e11 + 1.78390e11i 0.0898987 + 0.112729i
\(515\) 1.05777e12 0.662609
\(516\) 7.91811e11 + 3.80147e11i 0.491698 + 0.236063i
\(517\) −1.79362e12 −1.10413
\(518\) 1.82133e11 + 2.28388e11i 0.111149 + 0.139376i
\(519\) −6.81473e11 1.02716e11i −0.412283 0.0621417i
\(520\) −1.86911e11 + 8.18912e11i −0.112104 + 0.491159i
\(521\) 1.38704e12 + 9.45670e11i 0.824746 + 0.562303i 0.900516 0.434823i \(-0.143189\pi\)
−0.0757697 + 0.997125i \(0.524141\pi\)
\(522\) −2.35061e11 4.07138e11i −0.138568 0.240007i
\(523\) −3.21193e11 + 5.56323e11i −0.187719 + 0.325139i −0.944489 0.328542i \(-0.893443\pi\)
0.756770 + 0.653681i \(0.226776\pi\)
\(524\) −2.19536e12 + 1.05723e12i −1.27208 + 0.612602i
\(525\) −6.03928e11 1.86287e11i −0.346951 0.107020i
\(526\) −7.49237e9 9.99787e10i −0.00426759 0.0569471i
\(527\) −1.31355e11 5.75503e11i −0.0741820 0.325013i
\(528\) −1.70506e11 + 4.34443e11i −0.0954746 + 0.243265i
\(529\) −7.67858e10 + 1.02463e12i −0.0426315 + 0.568877i
\(530\) 2.94976e11 4.44605e10i 0.162385 0.0244756i
\(531\) −3.07729e11 2.85531e11i −0.167975 0.155858i
\(532\) −2.10330e12 1.01289e12i −1.13841 0.548229i
\(533\) 3.39688e12 2.31595e12i 1.82309 1.24296i
\(534\) 1.01014e11 + 2.57380e11i 0.0537585 + 0.136974i
\(535\) −1.61790e12 + 4.99056e11i −0.853806 + 0.263364i
\(536\) −1.24545e12 + 1.15561e12i −0.651754 + 0.604739i
\(537\) 1.99677e11 2.50387e11i 0.103620 0.129935i
\(538\) −1.98022e11 + 2.48312e11i −0.101905 + 0.127784i
\(539\) 8.47602e10 7.86460e10i 0.0432556 0.0401354i
\(540\) 1.01841e12 3.14137e11i 0.515405 0.158981i
\(541\) 5.28625e11 + 1.34691e12i 0.265314 + 0.676009i 0.999997 0.00240157i \(-0.000764443\pi\)
−0.734683 + 0.678410i \(0.762669\pi\)
\(542\) −3.57513e11 + 2.43749e11i −0.177949 + 0.121324i
\(543\) −6.48836e11 3.12463e11i −0.320284 0.154241i
\(544\) −2.48397e11 2.30479e11i −0.121605 0.112833i
\(545\) 1.70062e11 2.56328e10i 0.0825704 0.0124455i
\(546\) 3.88175e10 5.17984e11i 0.0186922 0.249430i
\(547\) 8.40877e11 2.14252e12i 0.401596 1.02325i −0.576869 0.816837i \(-0.695726\pi\)
0.978465 0.206413i \(-0.0661791\pi\)
\(548\) 2.43188e11 + 1.06548e12i 0.115194 + 0.504699i
\(549\) 1.19714e11 + 1.59748e12i 0.0562434 + 0.750515i
\(550\) 2.38454e11 + 7.35532e10i 0.111115 + 0.0342744i
\(551\) −4.06093e12 + 1.95564e12i −1.87691 + 0.903872i
\(552\) 2.51379e11 4.35401e11i 0.115240 0.199602i
\(553\) −1.33860e12 2.31853e12i −0.608680 1.05426i
\(554\) −1.40633e11 9.58818e10i −0.0634297 0.0432457i
\(555\) −1.10777e11 + 4.85347e11i −0.0495601 + 0.217137i
\(556\) 7.51160e9 + 1.13219e9i 0.00333346 + 0.000502439i
\(557\) 8.73023e11 + 1.09474e12i 0.384306 + 0.481905i 0.935929 0.352189i \(-0.114563\pi\)
−0.551623 + 0.834094i \(0.685991\pi\)
\(558\) −7.25829e11 −0.316942
\(559\) −3.26071e12 4.87474e11i −1.41240 0.211153i
\(560\) 9.69898e11 0.416754
\(561\) 1.08080e11 + 1.35528e11i 0.0460692 + 0.0577690i
\(562\) 3.97037e11 + 5.98437e10i 0.167887 + 0.0253049i
\(563\) 5.78706e11 2.53547e12i 0.242756 1.06358i −0.695740 0.718294i \(-0.744924\pi\)
0.938496 0.345290i \(-0.112219\pi\)
\(564\) −2.00241e12 1.36522e12i −0.833291 0.568128i
\(565\) −2.88013e11 4.98853e11i −0.118903 0.205946i
\(566\) −3.50898e10 + 6.07774e10i −0.0143717 + 0.0248925i
\(567\) 9.30119e10 4.47922e10i 0.0377933 0.0182003i
\(568\) −8.61111e11 2.65618e11i −0.347130 0.107075i
\(569\) 3.01882e11 + 4.02834e12i 0.120735 + 1.61109i 0.648169 + 0.761496i \(0.275535\pi\)
−0.527434 + 0.849596i \(0.676846\pi\)
\(570\) 9.17838e10 + 4.02131e11i 0.0364191 + 0.159562i
\(571\) −2.56006e11 + 6.52292e11i −0.100783 + 0.256791i −0.972368 0.233454i \(-0.924997\pi\)
0.871585 + 0.490244i \(0.163093\pi\)
\(572\) 1.47830e11 1.97266e12i 0.0577405 0.770494i
\(573\) −2.88593e12 + 4.34985e11i −1.11838 + 0.168569i
\(574\) 8.57054e11 + 7.95230e11i 0.329537 + 0.305766i
\(575\) 9.83398e11 + 4.73579e11i 0.375166 + 0.180671i
\(576\) 6.67588e11 4.55154e11i 0.252701 0.172289i
\(577\) −9.59056e11 2.44364e12i −0.360208 0.917794i −0.990005 0.141034i \(-0.954957\pi\)
0.629797 0.776760i \(-0.283138\pi\)
\(578\) 7.52680e11 2.32171e11i 0.280501 0.0865232i
\(579\) 2.79568e11 2.59401e11i 0.103379 0.0959220i
\(580\) 1.31842e12 1.65325e12i 0.483759 0.606615i
\(581\) 1.17863e12 1.47795e12i 0.429125 0.538106i
\(582\) −5.97662e11 + 5.54549e11i −0.215925 + 0.200349i
\(583\) −1.41225e12 + 4.35621e11i −0.506294 + 0.156171i
\(584\) −8.32830e11 2.12202e12i −0.296277 0.754902i
\(585\) −1.28695e12 + 8.77430e11i −0.454320 + 0.309750i
\(586\) 9.45224e11 + 4.55196e11i 0.331128 + 0.159463i
\(587\) −2.47819e12 2.29943e12i −0.861516 0.799370i 0.119593 0.992823i \(-0.461841\pi\)
−0.981110 + 0.193453i \(0.938031\pi\)
\(588\) 1.54489e11 2.32854e10i 0.0532965 0.00803316i
\(589\) −5.20036e11 + 6.93940e12i −0.178039 + 2.37576i
\(590\) −7.15206e10 + 1.82231e11i −0.0242995 + 0.0619141i
\(591\) −4.08472e11 1.78963e12i −0.137727 0.603420i
\(592\) 9.94792e10 + 1.32746e12i 0.0332878 + 0.444194i
\(593\) 5.50609e12 + 1.69840e12i 1.82851 + 0.564020i 0.999992 + 0.00405740i \(0.00129151\pi\)
0.828518 + 0.559963i \(0.189185\pi\)
\(594\) 4.93211e11 2.37518e11i 0.162552 0.0782811i
\(595\) 1.80123e11 3.11982e11i 0.0589172 0.102048i
\(596\) −5.06866e11 8.77917e11i −0.164545 0.285000i
\(597\) −1.01505e12 6.92047e11i −0.327040 0.222972i
\(598\) −1.99619e11 + 8.74586e11i −0.0638331 + 0.279671i
\(599\) 1.54695e12 + 2.33165e11i 0.490970 + 0.0740019i 0.389861 0.920874i \(-0.372523\pi\)
0.101109 + 0.994875i \(0.467761\pi\)
\(600\) 4.42249e11 + 5.54562e11i 0.139311 + 0.174691i
\(601\) 2.46263e11 0.0769952 0.0384976 0.999259i \(-0.487743\pi\)
0.0384976 + 0.999259i \(0.487743\pi\)
\(602\) −7.11871e10 9.34879e11i −0.0220911 0.290116i
\(603\) −3.15053e12 −0.970411
\(604\) −2.36493e12 2.96552e12i −0.723022 0.906640i
\(605\) −1.26608e12 1.90830e11i −0.384203 0.0579092i
\(606\) −1.37324e11 + 6.01657e11i −0.0413638 + 0.181227i
\(607\) −5.85017e11 3.98858e11i −0.174912 0.119253i 0.472700 0.881224i \(-0.343280\pi\)
−0.647611 + 0.761971i \(0.724232\pi\)
\(608\) 1.99730e12 + 3.45943e12i 0.592759 + 1.02669i
\(609\) −1.37544e12 + 2.38234e12i −0.405196 + 0.701820i
\(610\) 6.73068e11 3.24133e11i 0.196823 0.0947848i
\(611\) 8.69283e12 + 2.68138e12i 2.52334 + 0.778347i
\(612\) −3.07987e10 4.10980e11i −0.00887463 0.118424i
\(613\) 7.14084e10 + 3.12861e11i 0.0204257 + 0.0894909i 0.984113 0.177541i \(-0.0568142\pi\)
−0.963688 + 0.267032i \(0.913957\pi\)
\(614\) −2.96957e11 + 7.56635e11i −0.0843211 + 0.214847i
\(615\) −1.48898e11 + 1.98691e12i −0.0419712 + 0.560067i
\(616\) 1.17022e12 1.76382e11i 0.327457 0.0493562i
\(617\) −1.10402e12 1.02438e12i −0.306684 0.284562i 0.511783 0.859115i \(-0.328985\pi\)
−0.818467 + 0.574553i \(0.805176\pi\)
\(618\) 6.61428e11 + 3.18527e11i 0.182404 + 0.0878411i
\(619\) −1.79203e12 + 1.22178e12i −0.490610 + 0.334492i −0.783225 0.621738i \(-0.786427\pi\)
0.292615 + 0.956230i \(0.405474\pi\)
\(620\) −1.19274e12 3.03906e12i −0.324179 0.825994i
\(621\) 2.28805e12 7.05770e11i 0.617381 0.190437i
\(622\) 1.55218e12 1.44021e12i 0.415800 0.385806i
\(623\) −1.77492e12 + 2.22568e12i −0.472045 + 0.591926i
\(624\) 1.47584e12 1.85064e12i 0.389680 0.488644i
\(625\) −1.09166e11 + 1.01291e11i −0.0286172 + 0.0265529i
\(626\) 4.30683e11 1.32848e11i 0.112092 0.0345757i
\(627\) −7.46579e11 1.90225e12i −0.192917 0.491546i
\(628\) −2.08023e12 + 1.41828e12i −0.533695 + 0.363867i
\(629\) 4.45470e11 + 2.14527e11i 0.113473 + 0.0546455i
\(630\) −3.24707e11 3.01284e11i −0.0821219 0.0761980i
\(631\) −2.18975e12 + 3.30051e11i −0.549873 + 0.0828800i −0.418102 0.908400i \(-0.637304\pi\)
−0.131771 + 0.991280i \(0.542066\pi\)
\(632\) −2.24539e11 + 2.99627e12i −0.0559843 + 0.747058i
\(633\) 2.02103e11 5.14951e11i 0.0500330 0.127482i
\(634\) −4.14320e11 1.81525e12i −0.101844 0.446207i
\(635\) −1.39932e11 1.86727e12i −0.0341536 0.455748i
\(636\) −1.90822e12 5.88608e11i −0.462457 0.142649i
\(637\) −5.28366e11 + 2.54448e11i −0.127147 + 0.0612310i
\(638\) 5.43077e11 9.40637e11i 0.129768 0.224765i
\(639\) −8.35523e11 1.44717e12i −0.198246 0.343372i
\(640\) −2.02028e12 1.37740e12i −0.475994 0.324528i
\(641\) 7.57459e11 3.31864e12i 0.177214 0.776425i −0.805695 0.592331i \(-0.798208\pi\)
0.982909 0.184094i \(-0.0589351\pi\)
\(642\) −1.16196e12 1.75138e11i −0.269951 0.0406886i
\(643\) −4.64445e11 5.82396e11i −0.107148 0.134360i 0.725366 0.688364i \(-0.241671\pi\)
−0.832514 + 0.554004i \(0.813099\pi\)
\(644\) 2.46063e12 0.563715
\(645\) 1.16999e12 1.08821e12i 0.266173 0.247567i
\(646\) 4.09661e11 0.0925503
\(647\) 1.92254e10 + 2.41079e10i 0.00431327 + 0.00540867i 0.783983 0.620782i \(-0.213185\pi\)
−0.779670 + 0.626190i \(0.784613\pi\)
\(648\) −1.14569e11 1.72685e10i −0.0255257 0.00384739i
\(649\) 2.15817e11 9.45556e11i 0.0477512 0.209212i
\(650\) −1.04572e12 7.12957e11i −0.229775 0.156658i
\(651\) 2.12356e12 + 3.67812e12i 0.463395 + 0.802623i
\(652\) 1.51184e12 2.61858e12i 0.327635 0.567481i
\(653\) 2.95006e12 1.42068e12i 0.634924 0.305763i −0.0885948 0.996068i \(-0.528238\pi\)
0.723519 + 0.690304i \(0.242523\pi\)
\(654\) 1.14060e11 + 3.51829e10i 0.0243800 + 0.00752023i
\(655\) 3.31254e11 + 4.42028e12i 0.0703195 + 0.938349i
\(656\) 1.18556e12 + 5.19426e12i 0.249951 + 1.09511i
\(657\) 1.54436e12 3.93497e12i 0.323374 0.823943i
\(658\) −1.93327e11 + 2.57977e12i −0.0402046 + 0.536493i
\(659\) 6.81864e12 1.02775e12i 1.40836 0.212276i 0.599546 0.800340i \(-0.295348\pi\)
0.808814 + 0.588064i \(0.200110\pi\)
\(660\) 7.02785e11 + 6.52089e11i 0.144170 + 0.133770i
\(661\) 4.42049e12 + 2.12880e12i 0.900667 + 0.433738i 0.826130 0.563480i \(-0.190538\pi\)
0.0745373 + 0.997218i \(0.476252\pi\)
\(662\) 3.82089e8 2.60504e8i 7.73221e−5 5.27173e-5i
\(663\) −3.21204e11 8.18414e11i −0.0645609 0.164498i
\(664\) −2.02734e12 + 6.25351e11i −0.404734 + 0.124844i
\(665\) −3.11312e12 + 2.88855e12i −0.617303 + 0.572773i
\(666\) 3.79050e11 4.75314e11i 0.0746557 0.0936153i
\(667\) 2.96210e12 3.71436e12i 0.579474 0.726637i
\(668\) 4.54802e12 4.21995e12i 0.883748 0.819999i
\(669\) 4.66984e12 1.44046e12i 0.901332 0.278024i
\(670\) 5.36760e11 + 1.36764e12i 0.102907 + 0.262202i
\(671\) −3.05800e12 + 2.08491e12i −0.582352 + 0.397041i
\(672\) 2.19655e12 + 1.05780e12i 0.415508 + 0.200098i
\(673\) 2.39013e12 + 2.21771e12i 0.449110 + 0.416714i 0.872029 0.489454i \(-0.162804\pi\)
−0.422919 + 0.906168i \(0.638994\pi\)
\(674\) 3.42208e11 5.15796e10i 0.0638736 0.00962739i
\(675\) −2.52450e11 + 3.36871e12i −0.0468067 + 0.624592i
\(676\) −1.86822e12 + 4.76014e12i −0.344087 + 0.876718i
\(677\) −7.39633e11 3.24054e12i −0.135322 0.592883i −0.996427 0.0844566i \(-0.973085\pi\)
0.861105 0.508426i \(-0.169773\pi\)
\(678\) −2.98758e10 3.98665e11i −0.00542983 0.0724561i
\(679\) −8.02141e12 2.47428e12i −1.44823 0.446719i
\(680\) −3.64270e11 + 1.75423e11i −0.0653331 + 0.0314628i
\(681\) 9.36450e11 1.62198e12i 0.166849 0.288990i
\(682\) −8.38464e11 1.45226e12i −0.148407 0.257049i
\(683\) 3.26562e12 + 2.22646e12i 0.574213 + 0.391492i 0.815323 0.579006i \(-0.196559\pi\)
−0.241110 + 0.970498i \(0.577512\pi\)
\(684\) −1.08111e12 + 4.73665e12i −0.188850 + 0.827407i
\(685\) 1.96591e12 + 2.96314e11i 0.341159 + 0.0514214i
\(686\) −1.15622e12 1.44985e12i −0.199334 0.249957i
\(687\) −1.29953e12 −0.222577
\(688\) 2.13184e12 3.70271e12i 0.362750 0.630045i
\(689\) 7.49575e12 1.26715
\(690\) −2.71069e11 3.39910e11i −0.0455259 0.0570877i
\(691\) −1.61675e12 2.43685e11i −0.269768 0.0406610i 0.0127650 0.999919i \(-0.495937\pi\)
−0.282533 + 0.959258i \(0.591175\pi\)
\(692\) −8.42364e11 + 3.69064e12i −0.139644 + 0.611820i
\(693\) 1.81319e12 + 1.23622e12i 0.298638 + 0.203608i
\(694\) −9.36512e9 1.62209e10i −0.00153248 0.00265434i
\(695\) 6.90956e9 1.19677e10i 0.00112336 0.00194572i
\(696\) 2.78162e12 1.33956e12i 0.449321 0.216381i
\(697\) 1.89098e12 + 5.83290e11i 0.303487 + 0.0936132i
\(698\) −2.76597e11 3.69093e12i −0.0441061 0.588555i
\(699\) −1.44200e12 6.31783e12i −0.228465 1.00097i
\(700\) −1.26830e12 + 3.23158e12i −0.199655 + 0.508714i
\(701\) 4.87520e11 6.50551e12i 0.0762538 1.01754i −0.819527 0.573040i \(-0.805764\pi\)
0.895781 0.444496i \(-0.146617\pi\)
\(702\) −2.74544e12 + 4.13809e11i −0.426673 + 0.0643106i
\(703\) −4.27274e12 3.96452e12i −0.659793 0.612198i
\(704\) 1.68187e12 + 8.09947e11i 0.258057 + 0.124274i
\(705\) −3.64270e12 + 2.48355e12i −0.555357 + 0.378636i
\(706\) 1.00161e12 + 2.55207e12i 0.151733 + 0.386608i
\(707\) −6.07164e12 + 1.87285e12i −0.913942 + 0.281914i
\(708\) 9.60654e11 8.91356e11i 0.143687 0.133322i
\(709\) −2.12301e12 + 2.66217e12i −0.315533 + 0.395666i −0.914154 0.405366i \(-0.867144\pi\)
0.598621 + 0.801032i \(0.295715\pi\)
\(710\) −4.85866e11 + 6.09256e11i −0.0717552 + 0.0899782i
\(711\) −4.08437e12 + 3.78974e12i −0.599393 + 0.556155i
\(712\) 3.05302e12 9.41732e11i 0.445215 0.137331i
\(713\) −2.67973e12 6.82785e12i −0.388319 0.989421i
\(714\) 2.06579e11 1.40843e11i 0.0297471 0.0202812i
\(715\) −3.24226e12 1.56139e12i −0.463949 0.223426i
\(716\) −1.28954e12 1.19652e12i −0.183369 0.170142i
\(717\) 2.67802e12 4.03647e11i 0.378423 0.0570381i
\(718\) −1.58598e11 + 2.11634e12i −0.0222708 + 0.297184i
\(719\) 3.29564e12 8.39714e12i 0.459896 1.17179i −0.493413 0.869795i \(-0.664251\pi\)
0.953308 0.301999i \(-0.0976541\pi\)
\(720\) −4.49164e11 1.96792e12i −0.0622887 0.272904i
\(721\) 5.64851e11 + 7.53742e12i 0.0778441 + 1.03876i
\(722\) −2.47631e12 7.63842e11i −0.339147 0.104613i
\(723\) 4.11156e12 1.98002e12i 0.559608 0.269493i
\(724\) −1.97787e12 + 3.42577e12i −0.267531 + 0.463377i
\(725\) 3.35134e12 + 5.80469e12i 0.450503 + 0.780294i
\(726\) −7.34220e11 5.00583e11i −0.0980870 0.0668746i
\(727\) 2.66213e11 1.16636e12i 0.0353448 0.154856i −0.954176 0.299246i \(-0.903265\pi\)
0.989521 + 0.144390i \(0.0461221\pi\)
\(728\) −5.93520e12 8.94588e11i −0.783149 0.118041i
\(729\) 2.68752e12 + 3.37005e12i 0.352435 + 0.441939i
\(730\) −1.97128e12 −0.256919
\(731\) −7.95118e11 1.37338e12i −0.102992 0.177894i
\(732\) −5.00091e12 −0.643797
\(733\) −4.74992e12 5.95621e12i −0.607740 0.762082i 0.378822 0.925470i \(-0.376329\pi\)
−0.986562 + 0.163388i \(0.947758\pi\)
\(734\) −8.06989e11 1.21634e11i −0.102621 0.0154676i
\(735\) 6.32435e10 2.77088e11i 0.00799325 0.0350207i
\(736\) −3.47884e12 2.37183e12i −0.437003 0.297944i
\(737\) −3.63943e12 6.30368e12i −0.454391 0.787029i
\(738\) 1.21661e12 2.10723e12i 0.150973 0.261492i
\(739\) −3.53282e12 + 1.70132e12i −0.435734 + 0.209838i −0.638874 0.769311i \(-0.720600\pi\)
0.203140 + 0.979150i \(0.434885\pi\)
\(740\) 2.61304e12 + 8.06016e11i 0.320334 + 0.0988100i
\(741\) 7.74534e11 + 1.03354e13i 0.0943753 + 1.25935i
\(742\) 4.74335e11 + 2.07820e12i 0.0574470 + 0.251692i
\(743\) −4.87925e12 + 1.24321e13i −0.587359 + 1.49657i 0.260034 + 0.965600i \(0.416266\pi\)
−0.847393 + 0.530967i \(0.821829\pi\)
\(744\) 3.56210e11 4.75330e12i 0.0426215 0.568744i
\(745\) −1.82354e12 + 2.74854e11i −0.216876 + 0.0326888i
\(746\) 2.81129e12 + 2.60849e12i 0.332338 + 0.308365i
\(747\) −3.54458e12 1.70698e12i −0.416507 0.200579i
\(748\) 7.86724e11 5.36379e11i 0.0918893 0.0626491i
\(749\) −4.42013e12 1.12623e13i −0.513177 1.30755i