Properties

Label 43.11.d.a.7.17
Level 43
Weight 11
Character 43.7
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.17
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.20

$q$-expansion

\(f(q)\) \(=\) \(q-6.91481i q^{2} +(354.999 - 204.959i) q^{3} +976.185 q^{4} +(1409.18 - 813.592i) q^{5} +(-1417.25 - 2454.75i) q^{6} +(5180.55 + 2990.99i) q^{7} -13830.9i q^{8} +(54491.8 - 94382.6i) q^{9} +O(q^{10})\) \(q-6.91481i q^{2} +(354.999 - 204.959i) q^{3} +976.185 q^{4} +(1409.18 - 813.592i) q^{5} +(-1417.25 - 2454.75i) q^{6} +(5180.55 + 2990.99i) q^{7} -13830.9i q^{8} +(54491.8 - 94382.6i) q^{9} +(-5625.83 - 9744.23i) q^{10} -5041.93 q^{11} +(346545. - 200078. i) q^{12} +(110043. - 190601. i) q^{13} +(20682.1 - 35822.5i) q^{14} +(333506. - 577649. i) q^{15} +903976. q^{16} +(-402781. + 697638. i) q^{17} +(-652638. - 376801. i) q^{18} +(-2.37141e6 + 1.36914e6i) q^{19} +(1.37562e6 - 794217. i) q^{20} +2.45212e6 q^{21} +34864.0i q^{22} +(3.41219e6 + 5.91009e6i) q^{23} +(-2.83477e6 - 4.90996e6i) q^{24} +(-3.55895e6 + 6.16428e6i) q^{25} +(-1.31797e6 - 760929. i) q^{26} -2.04691e7i q^{27} +(5.05717e6 + 2.91976e6i) q^{28} +(-2.05228e7 - 1.18488e7i) q^{29} +(-3.99433e6 - 2.30613e6i) q^{30} +(5.43349e6 + 9.41108e6i) q^{31} -2.04137e7i q^{32} +(-1.78988e6 + 1.03339e6i) q^{33} +(4.82403e6 + 2.78516e6i) q^{34} +9.73379e6 q^{35} +(5.31941e7 - 9.21350e7i) q^{36} +(1.01320e8 - 5.84969e7i) q^{37} +(9.46731e6 + 1.63979e7i) q^{38} -9.02176e7i q^{39} +(-1.12527e7 - 1.94903e7i) q^{40} +3.32795e7 q^{41} -1.69559e7i q^{42} +(-1.43727e8 + 3.08871e7i) q^{43} -4.92186e6 q^{44} -1.77337e8i q^{45} +(4.08671e7 - 2.35946e7i) q^{46} -1.35587e8 q^{47} +(3.20911e8 - 1.85278e8i) q^{48} +(-1.23346e8 - 2.13641e8i) q^{49} +(4.26248e7 + 2.46094e7i) q^{50} +3.30215e8i q^{51} +(1.07423e8 - 1.86062e8i) q^{52} +(3.57501e7 + 6.19209e7i) q^{53} -1.41540e8 q^{54} +(-7.10501e6 + 4.10208e6i) q^{55} +(4.13681e7 - 7.16516e7i) q^{56} +(-5.61233e8 + 9.72084e8i) q^{57} +(-8.19324e7 + 1.41911e8i) q^{58} -8.97505e8 q^{59} +(3.25564e8 - 5.63893e8i) q^{60} +(4.17909e8 + 2.41280e8i) q^{61} +(6.50758e7 - 3.75715e7i) q^{62} +(5.64595e8 - 3.25969e8i) q^{63} +7.84515e8 q^{64} -3.58122e8i q^{65} +(7.14569e6 + 1.23767e7i) q^{66} +(-2.16253e8 - 3.74562e8i) q^{67} +(-3.93189e8 + 6.81024e8i) q^{68} +(2.42265e9 + 1.39872e9i) q^{69} -6.73073e7i q^{70} +(-8.22521e8 - 4.74883e8i) q^{71} +(-1.30540e9 - 7.53671e8i) q^{72} +(1.16873e9 + 6.74767e8i) q^{73} +(-4.04495e8 - 7.00606e8i) q^{74} +2.91775e9i q^{75} +(-2.31494e9 + 1.33653e9i) q^{76} +(-2.61200e7 - 1.50804e7i) q^{77} -6.23837e8 q^{78} +(-1.75978e9 + 3.04802e9i) q^{79} +(1.27387e9 - 7.35468e8i) q^{80} +(-9.77641e8 - 1.69332e9i) q^{81} -2.30121e8i q^{82} +(8.25365e8 + 1.42957e9i) q^{83} +2.39372e9 q^{84} +1.31080e9i q^{85} +(2.13578e8 + 9.93845e8i) q^{86} -9.71409e9 q^{87} +6.97345e7i q^{88} +(-4.06686e9 + 2.34800e9i) q^{89} -1.22625e9 q^{90} +(1.14017e9 - 6.58278e8i) q^{91} +(3.33093e9 + 5.76934e9i) q^{92} +(3.85777e9 + 2.22728e9i) q^{93} +9.37559e8i q^{94} +(-2.22784e9 + 3.85872e9i) q^{95} +(-4.18396e9 - 7.24683e9i) q^{96} +8.65312e9 q^{97} +(-1.47728e9 + 8.52911e8i) q^{98} +(-2.74744e8 + 4.75871e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.91481i 0.216088i −0.994146 0.108044i \(-0.965541\pi\)
0.994146 0.108044i \(-0.0344587\pi\)
\(3\) 354.999 204.959i 1.46090 0.843452i 0.461849 0.886958i \(-0.347186\pi\)
0.999053 + 0.0435059i \(0.0138527\pi\)
\(4\) 976.185 0.953306
\(5\) 1409.18 813.592i 0.450939 0.260350i −0.257288 0.966335i \(-0.582829\pi\)
0.708227 + 0.705985i \(0.249496\pi\)
\(6\) −1417.25 2454.75i −0.182260 0.315683i
\(7\) 5180.55 + 2990.99i 0.308237 + 0.177961i 0.646138 0.763221i \(-0.276383\pi\)
−0.337900 + 0.941182i \(0.609717\pi\)
\(8\) 13830.9i 0.422085i
\(9\) 54491.8 94382.6i 0.922824 1.59838i
\(10\) −5625.83 9744.23i −0.0562583 0.0974423i
\(11\) −5041.93 −0.0313064 −0.0156532 0.999877i \(-0.504983\pi\)
−0.0156532 + 0.999877i \(0.504983\pi\)
\(12\) 346545. 200078.i 1.39269 0.804068i
\(13\) 110043. 190601.i 0.296379 0.513344i −0.678926 0.734207i \(-0.737554\pi\)
0.975305 + 0.220863i \(0.0708875\pi\)
\(14\) 20682.1 35822.5i 0.0384552 0.0666063i
\(15\) 333506. 577649.i 0.439185 0.760691i
\(16\) 903976. 0.862099
\(17\) −402781. + 697638.i −0.283677 + 0.491344i −0.972288 0.233788i \(-0.924888\pi\)
0.688610 + 0.725132i \(0.258221\pi\)
\(18\) −652638. 376801.i −0.345390 0.199411i
\(19\) −2.37141e6 + 1.36914e6i −0.957721 + 0.552940i −0.895471 0.445120i \(-0.853161\pi\)
−0.0622501 + 0.998061i \(0.519828\pi\)
\(20\) 1.37562e6 794217.i 0.429883 0.248193i
\(21\) 2.45212e6 0.600407
\(22\) 34864.0i 0.00676494i
\(23\) 3.41219e6 + 5.91009e6i 0.530144 + 0.918237i 0.999382 + 0.0351647i \(0.0111956\pi\)
−0.469237 + 0.883072i \(0.655471\pi\)
\(24\) −2.83477e6 4.90996e6i −0.356009 0.616626i
\(25\) −3.55895e6 + 6.16428e6i −0.364436 + 0.631222i
\(26\) −1.31797e6 760929.i −0.110927 0.0640439i
\(27\) 2.04691e7i 1.42653i
\(28\) 5.05717e6 + 2.91976e6i 0.293845 + 0.169651i
\(29\) −2.05228e7 1.18488e7i −1.00057 0.577677i −0.0921508 0.995745i \(-0.529374\pi\)
−0.908416 + 0.418068i \(0.862708\pi\)
\(30\) −3.99433e6 2.30613e6i −0.164376 0.0949025i
\(31\) 5.43349e6 + 9.41108e6i 0.189789 + 0.328724i 0.945180 0.326551i \(-0.105886\pi\)
−0.755391 + 0.655274i \(0.772553\pi\)
\(32\) 2.04137e7i 0.608374i
\(33\) −1.78988e6 + 1.03339e6i −0.0457357 + 0.0264055i
\(34\) 4.82403e6 + 2.78516e6i 0.106173 + 0.0612992i
\(35\) 9.73379e6 0.185328
\(36\) 5.31941e7 9.21350e7i 0.879734 1.52374i
\(37\) 1.01320e8 5.84969e7i 1.46112 0.843577i 0.462055 0.886852i \(-0.347112\pi\)
0.999063 + 0.0432748i \(0.0137791\pi\)
\(38\) 9.46731e6 + 1.63979e7i 0.119484 + 0.206952i
\(39\) 9.02176e7i 0.999927i
\(40\) −1.12527e7 1.94903e7i −0.109890 0.190335i
\(41\) 3.32795e7 0.287248 0.143624 0.989632i \(-0.454124\pi\)
0.143624 + 0.989632i \(0.454124\pi\)
\(42\) 1.69559e7i 0.129740i
\(43\) −1.43727e8 + 3.08871e7i −0.977679 + 0.210104i
\(44\) −4.92186e6 −0.0298446
\(45\) 1.77337e8i 0.961027i
\(46\) 4.08671e7 2.35946e7i 0.198420 0.114558i
\(47\) −1.35587e8 −0.591193 −0.295597 0.955313i \(-0.595518\pi\)
−0.295597 + 0.955313i \(0.595518\pi\)
\(48\) 3.20911e8 1.85278e8i 1.25944 0.727139i
\(49\) −1.23346e8 2.13641e8i −0.436660 0.756317i
\(50\) 4.26248e7 + 2.46094e7i 0.136399 + 0.0787502i
\(51\) 3.30215e8i 0.957074i
\(52\) 1.07423e8 1.86062e8i 0.282540 0.489374i
\(53\) 3.57501e7 + 6.19209e7i 0.0854865 + 0.148067i 0.905598 0.424136i \(-0.139422\pi\)
−0.820112 + 0.572203i \(0.806089\pi\)
\(54\) −1.41540e8 −0.308255
\(55\) −7.10501e6 + 4.10208e6i −0.0141173 + 0.00815062i
\(56\) 4.13681e7 7.16516e7i 0.0751147 0.130103i
\(57\) −5.61233e8 + 9.72084e8i −0.932758 + 1.61558i
\(58\) −8.19324e7 + 1.41911e8i −0.124829 + 0.216210i
\(59\) −8.97505e8 −1.25538 −0.627692 0.778462i \(-0.716000\pi\)
−0.627692 + 0.778462i \(0.716000\pi\)
\(60\) 3.25564e8 5.63893e8i 0.418678 0.725171i
\(61\) 4.17909e8 + 2.41280e8i 0.494803 + 0.285674i 0.726565 0.687098i \(-0.241116\pi\)
−0.231762 + 0.972773i \(0.574449\pi\)
\(62\) 6.50758e7 3.75715e7i 0.0710331 0.0410110i
\(63\) 5.64595e8 3.25969e8i 0.568898 0.328453i
\(64\) 7.84515e8 0.730636
\(65\) 3.58122e8i 0.308649i
\(66\) 7.14569e6 + 1.23767e7i 0.00570590 + 0.00988292i
\(67\) −2.16253e8 3.74562e8i −0.160173 0.277427i 0.774758 0.632258i \(-0.217872\pi\)
−0.934931 + 0.354831i \(0.884538\pi\)
\(68\) −3.93189e8 + 6.81024e8i −0.270431 + 0.468401i
\(69\) 2.42265e9 + 1.39872e9i 1.54898 + 0.894303i
\(70\) 6.73073e7i 0.0400472i
\(71\) −8.22521e8 4.74883e8i −0.455885 0.263205i 0.254428 0.967092i \(-0.418113\pi\)
−0.710312 + 0.703887i \(0.751446\pi\)
\(72\) −1.30540e9 7.53671e8i −0.674652 0.389511i
\(73\) 1.16873e9 + 6.74767e8i 0.563768 + 0.325491i 0.754656 0.656120i \(-0.227804\pi\)
−0.190889 + 0.981612i \(0.561137\pi\)
\(74\) −4.04495e8 7.00606e8i −0.182287 0.315730i
\(75\) 2.91775e9i 1.22954i
\(76\) −2.31494e9 + 1.33653e9i −0.913001 + 0.527122i
\(77\) −2.61200e7 1.50804e7i −0.00964982 0.00557133i
\(78\) −6.23837e8 −0.216072
\(79\) −1.75978e9 + 3.04802e9i −0.571903 + 0.990565i 0.424468 + 0.905443i \(0.360461\pi\)
−0.996371 + 0.0851219i \(0.972872\pi\)
\(80\) 1.27387e9 7.35468e8i 0.388754 0.224447i
\(81\) −9.77641e8 1.69332e9i −0.280385 0.485641i
\(82\) 2.30121e8i 0.0620708i
\(83\) 8.25365e8 + 1.42957e9i 0.209535 + 0.362925i 0.951568 0.307438i \(-0.0994718\pi\)
−0.742033 + 0.670363i \(0.766138\pi\)
\(84\) 2.39372e9 0.572371
\(85\) 1.31080e9i 0.295421i
\(86\) 2.13578e8 + 9.93845e8i 0.0454009 + 0.211264i
\(87\) −9.71409e9 −1.94897
\(88\) 6.97345e7i 0.0132140i
\(89\) −4.06686e9 + 2.34800e9i −0.728297 + 0.420483i −0.817799 0.575504i \(-0.804806\pi\)
0.0895017 + 0.995987i \(0.471473\pi\)
\(90\) −1.22625e9 −0.207666
\(91\) 1.14017e9 6.58278e8i 0.182710 0.105488i
\(92\) 3.33093e9 + 5.76934e9i 0.505390 + 0.875361i
\(93\) 3.85777e9 + 2.22728e9i 0.554526 + 0.320155i
\(94\) 9.37559e8i 0.127750i
\(95\) −2.22784e9 + 3.85872e9i −0.287916 + 0.498684i
\(96\) −4.18396e9 7.24683e9i −0.513135 0.888776i
\(97\) 8.65312e9 1.00766 0.503830 0.863803i \(-0.331924\pi\)
0.503830 + 0.863803i \(0.331924\pi\)
\(98\) −1.47728e9 + 8.52911e8i −0.163431 + 0.0943568i
\(99\) −2.74744e8 + 4.75871e8i −0.0288903 + 0.0500395i
\(100\) −3.47419e9 + 6.01748e9i −0.347419 + 0.601748i
\(101\) 6.13594e9 1.06278e10i 0.583814 1.01120i −0.411208 0.911541i \(-0.634893\pi\)
0.995022 0.0996540i \(-0.0317736\pi\)
\(102\) 2.28337e9 0.206812
\(103\) 3.89253e9 6.74206e9i 0.335773 0.581576i −0.647860 0.761760i \(-0.724336\pi\)
0.983633 + 0.180183i \(0.0576691\pi\)
\(104\) −2.63618e9 1.52200e9i −0.216675 0.125097i
\(105\) 3.45549e9 1.99503e9i 0.270746 0.156316i
\(106\) 4.28171e8 2.47205e8i 0.0319954 0.0184726i
\(107\) 7.41897e9 0.528962 0.264481 0.964391i \(-0.414799\pi\)
0.264481 + 0.964391i \(0.414799\pi\)
\(108\) 1.99817e10i 1.35992i
\(109\) 3.85276e9 + 6.67317e9i 0.250403 + 0.433710i 0.963637 0.267216i \(-0.0861036\pi\)
−0.713234 + 0.700926i \(0.752770\pi\)
\(110\) 2.83651e7 + 4.91298e7i 0.00176125 + 0.00305057i
\(111\) 2.39789e10 4.15328e10i 1.42303 2.46477i
\(112\) 4.68309e9 + 2.70378e9i 0.265731 + 0.153420i
\(113\) 6.09202e9i 0.330651i −0.986239 0.165325i \(-0.947133\pi\)
0.986239 0.165325i \(-0.0528674\pi\)
\(114\) 6.72177e9 + 3.88082e9i 0.349108 + 0.201558i
\(115\) 9.61680e9 + 5.55226e9i 0.478125 + 0.276046i
\(116\) −2.00340e10 1.15667e10i −0.953846 0.550703i
\(117\) −1.19929e10 2.07724e10i −0.547012 0.947452i
\(118\) 6.20607e9i 0.271273i
\(119\) −4.17326e9 + 2.40943e9i −0.174880 + 0.100967i
\(120\) −7.98941e9 4.61269e9i −0.321076 0.185374i
\(121\) −2.59120e10 −0.999020
\(122\) 1.66840e9 2.88976e9i 0.0617307 0.106921i
\(123\) 1.18142e10 6.82092e9i 0.419641 0.242280i
\(124\) 5.30409e9 + 9.18696e9i 0.180927 + 0.313374i
\(125\) 2.74726e10i 0.900222i
\(126\) −2.25401e9 3.90407e9i −0.0709748 0.122932i
\(127\) 2.40638e10 0.728360 0.364180 0.931329i \(-0.381349\pi\)
0.364180 + 0.931329i \(0.381349\pi\)
\(128\) 2.63284e10i 0.766256i
\(129\) −4.46924e10 + 4.04230e10i −1.25108 + 1.13157i
\(130\) −2.47634e9 −0.0666952
\(131\) 5.29366e10i 1.37214i 0.727533 + 0.686072i \(0.240667\pi\)
−0.727533 + 0.686072i \(0.759333\pi\)
\(132\) −1.74726e9 + 1.00878e9i −0.0436001 + 0.0251725i
\(133\) −1.63803e10 −0.393607
\(134\) −2.59002e9 + 1.49535e9i −0.0599486 + 0.0346114i
\(135\) −1.66535e10 2.88447e10i −0.371396 0.643277i
\(136\) 9.64896e9 + 5.57083e9i 0.207389 + 0.119736i
\(137\) 4.74803e9i 0.0983808i 0.998789 + 0.0491904i \(0.0156641\pi\)
−0.998789 + 0.0491904i \(0.984336\pi\)
\(138\) 9.67187e9 1.67522e10i 0.193248 0.334715i
\(139\) 2.82769e10 + 4.89770e10i 0.544951 + 0.943883i 0.998610 + 0.0527073i \(0.0167850\pi\)
−0.453659 + 0.891175i \(0.649882\pi\)
\(140\) 9.50198e9 0.176675
\(141\) −4.81334e10 + 2.77898e10i −0.863676 + 0.498643i
\(142\) −3.28372e9 + 5.68757e9i −0.0568754 + 0.0985111i
\(143\) −5.54832e8 + 9.60997e8i −0.00927857 + 0.0160710i
\(144\) 4.92593e10 8.53196e10i 0.795565 1.37796i
\(145\) −3.85605e10 −0.601592
\(146\) 4.66588e9 8.08155e9i 0.0703347 0.121823i
\(147\) −8.75752e10 5.05616e10i −1.27583 0.736604i
\(148\) 9.89068e10 5.71039e10i 1.39289 0.804187i
\(149\) −1.73607e10 + 1.00232e10i −0.236393 + 0.136482i −0.613518 0.789681i \(-0.710246\pi\)
0.377125 + 0.926163i \(0.376913\pi\)
\(150\) 2.01757e10 0.265688
\(151\) 7.00960e10i 0.892911i 0.894806 + 0.446456i \(0.147314\pi\)
−0.894806 + 0.446456i \(0.852686\pi\)
\(152\) 1.89364e10 + 3.27988e10i 0.233388 + 0.404240i
\(153\) 4.38966e10 + 7.60311e10i 0.523569 + 0.906848i
\(154\) −1.04278e8 + 1.80615e8i −0.00120390 + 0.00208521i
\(155\) 1.53136e10 + 8.84129e9i 0.171166 + 0.0988228i
\(156\) 8.80691e10i 0.953236i
\(157\) 1.10307e11 + 6.36860e10i 1.15640 + 0.667645i 0.950437 0.310916i \(-0.100636\pi\)
0.205958 + 0.978561i \(0.433969\pi\)
\(158\) 2.10765e10 + 1.21685e10i 0.214049 + 0.123581i
\(159\) 2.53825e10 + 1.46546e10i 0.249775 + 0.144208i
\(160\) −1.66084e10 2.87666e10i −0.158390 0.274339i
\(161\) 4.08233e10i 0.377380i
\(162\) −1.17090e10 + 6.76020e9i −0.104941 + 0.0605877i
\(163\) −1.91209e11 1.10394e11i −1.66176 0.959420i −0.971873 0.235506i \(-0.924325\pi\)
−0.689891 0.723914i \(-0.742341\pi\)
\(164\) 3.24869e10 0.273835
\(165\) −1.68152e9 + 2.91247e9i −0.0137493 + 0.0238145i
\(166\) 9.88523e9 5.70724e9i 0.0784235 0.0452779i
\(167\) 9.37226e10 + 1.62332e11i 0.721543 + 1.24975i 0.960381 + 0.278690i \(0.0899001\pi\)
−0.238838 + 0.971059i \(0.576767\pi\)
\(168\) 3.39150e10i 0.253423i
\(169\) 4.47101e10 + 7.74402e10i 0.324319 + 0.561737i
\(170\) 9.06392e9 0.0638369
\(171\) 2.98427e11i 2.04107i
\(172\) −1.40304e11 + 3.01515e10i −0.932027 + 0.200293i
\(173\) −2.70792e11 −1.74745 −0.873727 0.486416i \(-0.838304\pi\)
−0.873727 + 0.486416i \(0.838304\pi\)
\(174\) 6.71711e10i 0.421149i
\(175\) −3.68746e10 + 2.12896e10i −0.224666 + 0.129711i
\(176\) −4.55779e9 −0.0269892
\(177\) −3.18614e11 + 1.83952e11i −1.83399 + 1.05886i
\(178\) 1.62360e10 + 2.81215e10i 0.0908611 + 0.157376i
\(179\) −4.89311e10 2.82504e10i −0.266269 0.153730i 0.360922 0.932596i \(-0.382462\pi\)
−0.627191 + 0.778866i \(0.715795\pi\)
\(180\) 1.73113e11i 0.916153i
\(181\) −8.51618e10 + 1.47505e11i −0.438381 + 0.759298i −0.997565 0.0697455i \(-0.977781\pi\)
0.559184 + 0.829044i \(0.311115\pi\)
\(182\) −4.55186e9 7.88406e9i −0.0227946 0.0394814i
\(183\) 1.97810e11 0.963811
\(184\) 8.17418e10 4.71937e10i 0.387574 0.223766i
\(185\) 9.51853e10 1.64866e11i 0.439250 0.760803i
\(186\) 1.54012e10 2.66757e10i 0.0691817 0.119826i
\(187\) 2.03080e9 3.51744e9i 0.00888093 0.0153822i
\(188\) −1.32358e11 −0.563588
\(189\) 6.12230e10 1.06041e11i 0.253866 0.439710i
\(190\) 2.66823e10 + 1.54051e10i 0.107760 + 0.0622150i
\(191\) 2.13067e11 1.23014e11i 0.838204 0.483938i −0.0184491 0.999830i \(-0.505873\pi\)
0.856653 + 0.515892i \(0.172540\pi\)
\(192\) 2.78502e11 1.60793e11i 1.06739 0.616257i
\(193\) 2.65909e11 0.992994 0.496497 0.868038i \(-0.334619\pi\)
0.496497 + 0.868038i \(0.334619\pi\)
\(194\) 5.98346e10i 0.217743i
\(195\) −7.34003e10 1.27133e11i −0.260330 0.450905i
\(196\) −1.20408e11 2.08553e11i −0.416270 0.721002i
\(197\) 4.45499e10 7.71628e10i 0.150147 0.260062i −0.781135 0.624363i \(-0.785359\pi\)
0.931281 + 0.364301i \(0.118692\pi\)
\(198\) 3.29056e9 + 1.89980e9i 0.0108129 + 0.00624285i
\(199\) 5.96627e11i 1.91178i −0.293729 0.955889i \(-0.594896\pi\)
0.293729 0.955889i \(-0.405104\pi\)
\(200\) 8.52575e10 + 4.92234e10i 0.266430 + 0.153823i
\(201\) −1.53539e11 8.86461e10i −0.467994 0.270196i
\(202\) −7.34890e10 4.24289e10i −0.218507 0.126155i
\(203\) −7.08795e10 1.22767e11i −0.205608 0.356124i
\(204\) 3.22351e11i 0.912384i
\(205\) 4.68969e10 2.70759e10i 0.129531 0.0747849i
\(206\) −4.66201e10 2.69161e10i −0.125671 0.0725565i
\(207\) 7.43746e11 1.95692
\(208\) 9.94766e10 1.72299e11i 0.255508 0.442553i
\(209\) 1.19565e10 6.90309e9i 0.0299828 0.0173106i
\(210\) −1.37952e10 2.38940e10i −0.0337779 0.0585050i
\(211\) 5.02566e11i 1.20166i −0.799377 0.600829i \(-0.794837\pi\)
0.799377 0.600829i \(-0.205163\pi\)
\(212\) 3.48987e10 + 6.04463e10i 0.0814948 + 0.141153i
\(213\) −3.89326e11 −0.888004
\(214\) 5.13007e10i 0.114302i
\(215\) −1.77408e11 + 1.60461e11i −0.386173 + 0.349282i
\(216\) −2.83106e11 −0.602117
\(217\) 6.50060e10i 0.135100i
\(218\) 4.61437e10 2.66411e10i 0.0937195 0.0541090i
\(219\) 5.53198e11 1.09815
\(220\) −6.93581e9 + 4.00439e9i −0.0134581 + 0.00777003i
\(221\) 8.86469e10 + 1.53541e11i 0.168152 + 0.291248i
\(222\) −2.87191e11 1.65810e11i −0.532606 0.307500i
\(223\) 1.39346e11i 0.252679i 0.991987 + 0.126340i \(0.0403229\pi\)
−0.991987 + 0.126340i \(0.959677\pi\)
\(224\) 6.10571e10 1.05754e11i 0.108267 0.187524i
\(225\) 3.87867e11 + 6.71806e11i 0.672621 + 1.16501i
\(226\) −4.21252e10 −0.0714495
\(227\) 3.19605e11 1.84524e11i 0.530255 0.306143i −0.210866 0.977515i \(-0.567628\pi\)
0.741120 + 0.671372i \(0.234295\pi\)
\(228\) −5.47868e11 + 9.48934e11i −0.889204 + 1.54015i
\(229\) 8.27683e10 1.43359e11i 0.131428 0.227639i −0.792800 0.609482i \(-0.791377\pi\)
0.924227 + 0.381843i \(0.124711\pi\)
\(230\) 3.83928e10 6.64983e10i 0.0596501 0.103317i
\(231\) −1.23634e10 −0.0187966
\(232\) −1.63880e11 + 2.83848e11i −0.243829 + 0.422325i
\(233\) −7.98560e11 4.61049e11i −1.16286 0.671378i −0.210873 0.977513i \(-0.567631\pi\)
−0.951988 + 0.306135i \(0.900964\pi\)
\(234\) −1.43637e11 + 8.29289e10i −0.204733 + 0.118202i
\(235\) −1.91067e11 + 1.10313e11i −0.266592 + 0.153917i
\(236\) −8.76131e11 −1.19677
\(237\) 1.44273e12i 1.92949i
\(238\) 1.66607e10 + 2.88573e10i 0.0218177 + 0.0377894i
\(239\) −7.08957e11 1.22795e12i −0.909139 1.57467i −0.815263 0.579091i \(-0.803408\pi\)
−0.0938757 0.995584i \(-0.529926\pi\)
\(240\) 3.01481e11 5.22181e11i 0.378621 0.655790i
\(241\) 3.53867e11 + 2.04305e11i 0.435266 + 0.251301i 0.701587 0.712583i \(-0.252475\pi\)
−0.266322 + 0.963884i \(0.585808\pi\)
\(242\) 1.79177e11i 0.215876i
\(243\) 3.52625e11 + 2.03588e11i 0.416180 + 0.240282i
\(244\) 4.07956e11 + 2.35534e11i 0.471698 + 0.272335i
\(245\) −3.47633e11 2.00706e11i −0.393813 0.227368i
\(246\) −4.71654e10 8.16928e10i −0.0523537 0.0906793i
\(247\) 6.02658e11i 0.655520i
\(248\) 1.30164e11 7.51500e10i 0.138749 0.0801070i
\(249\) 5.86008e11 + 3.38332e11i 0.612219 + 0.353465i
\(250\) 1.89968e11 0.194527
\(251\) 8.05288e11 1.39480e12i 0.808319 1.40005i −0.105708 0.994397i \(-0.533711\pi\)
0.914027 0.405653i \(-0.132956\pi\)
\(252\) 5.51150e11 3.18206e11i 0.542334 0.313117i
\(253\) −1.72040e10 2.97983e10i −0.0165969 0.0287467i
\(254\) 1.66397e11i 0.157390i
\(255\) 2.68660e11 + 4.65333e11i 0.249174 + 0.431581i
\(256\) 6.21288e11 0.565058
\(257\) 3.65216e11i 0.325749i −0.986647 0.162875i \(-0.947923\pi\)
0.986647 0.162875i \(-0.0520766\pi\)
\(258\) 2.79517e11 + 3.09040e11i 0.244518 + 0.270343i
\(259\) 6.99855e11 0.600495
\(260\) 3.49594e11i 0.294237i
\(261\) −2.23665e12 + 1.29133e12i −1.84669 + 1.06619i
\(262\) 3.66047e11 0.296504
\(263\) −9.97811e11 + 5.76087e11i −0.792994 + 0.457835i −0.841015 0.541011i \(-0.818042\pi\)
0.0480217 + 0.998846i \(0.484708\pi\)
\(264\) 1.42927e10 + 2.47557e10i 0.0111454 + 0.0193044i
\(265\) 1.00757e11 + 5.81719e10i 0.0770983 + 0.0445127i
\(266\) 1.13266e11i 0.0850537i
\(267\) −9.62487e11 + 1.66708e12i −0.709314 + 1.22857i
\(268\) −2.11103e11 3.65642e11i −0.152694 0.264473i
\(269\) −1.59364e12 −1.13143 −0.565717 0.824600i \(-0.691401\pi\)
−0.565717 + 0.824600i \(0.691401\pi\)
\(270\) −1.99456e11 + 1.15156e11i −0.139004 + 0.0802541i
\(271\) −1.49325e11 + 2.58639e11i −0.102161 + 0.176949i −0.912575 0.408910i \(-0.865909\pi\)
0.810414 + 0.585858i \(0.199242\pi\)
\(272\) −3.64105e11 + 6.30648e11i −0.244558 + 0.423587i
\(273\) 2.69840e11 4.67376e11i 0.177948 0.308215i
\(274\) 3.28317e10 0.0212589
\(275\) 1.79440e10 3.10799e10i 0.0114092 0.0197613i
\(276\) 2.36496e12 + 1.36541e12i 1.47665 + 0.852545i
\(277\) −7.00568e11 + 4.04473e11i −0.429587 + 0.248022i −0.699171 0.714955i \(-0.746447\pi\)
0.269584 + 0.962977i \(0.413114\pi\)
\(278\) 3.38666e11 1.95529e11i 0.203961 0.117757i
\(279\) 1.18432e12 0.700566
\(280\) 1.34627e11i 0.0782244i
\(281\) −9.64532e11 1.67062e12i −0.550535 0.953555i −0.998236 0.0593714i \(-0.981090\pi\)
0.447701 0.894183i \(-0.352243\pi\)
\(282\) 1.92161e11 + 3.32833e11i 0.107751 + 0.186630i
\(283\) 1.76327e11 3.05407e11i 0.0971374 0.168247i −0.813361 0.581759i \(-0.802365\pi\)
0.910499 + 0.413512i \(0.135698\pi\)
\(284\) −8.02933e11 4.63573e11i −0.434598 0.250915i
\(285\) 1.82646e12i 0.971372i
\(286\) 6.64511e9 + 3.83656e9i 0.00347274 + 0.00200499i
\(287\) 1.72406e11 + 9.95385e10i 0.0885406 + 0.0511189i
\(288\) −1.92669e12 1.11238e12i −0.972412 0.561423i
\(289\) 6.83531e11 + 1.18391e12i 0.339054 + 0.587259i
\(290\) 2.66638e11i 0.129997i
\(291\) 3.07185e12 1.77353e12i 1.47209 0.849913i
\(292\) 1.14090e12 + 6.58698e11i 0.537443 + 0.310293i
\(293\) −1.97833e12 −0.916138 −0.458069 0.888917i \(-0.651459\pi\)
−0.458069 + 0.888917i \(0.651459\pi\)
\(294\) −3.49623e11 + 6.05566e11i −0.159171 + 0.275692i
\(295\) −1.26475e12 + 7.30203e11i −0.566101 + 0.326839i
\(296\) −8.09065e11 1.40134e12i −0.356061 0.616717i
\(297\) 1.03204e11i 0.0446595i
\(298\) 6.93085e10 + 1.20046e11i 0.0294920 + 0.0510817i
\(299\) 1.50196e12 0.628495
\(300\) 2.84827e12i 1.17213i
\(301\) −8.36968e11 2.69874e11i −0.338748 0.109227i
\(302\) 4.84700e11 0.192947
\(303\) 5.03047e12i 1.96968i
\(304\) −2.14370e12 + 1.23767e12i −0.825650 + 0.476689i
\(305\) 7.85213e11 0.297501
\(306\) 5.25741e11 3.03537e11i 0.195959 0.113137i
\(307\) 3.41660e11 + 5.91773e11i 0.125286 + 0.217002i 0.921845 0.387560i \(-0.126682\pi\)
−0.796559 + 0.604561i \(0.793348\pi\)
\(308\) −2.54979e10 1.47212e10i −0.00919923 0.00531118i
\(309\) 3.19124e12i 1.13284i
\(310\) 6.11358e10 1.05890e11i 0.0213544 0.0369869i
\(311\) −1.96925e12 3.41085e12i −0.676861 1.17236i −0.975921 0.218124i \(-0.930006\pi\)
0.299060 0.954234i \(-0.403327\pi\)
\(312\) −1.24779e12 −0.422054
\(313\) 2.43211e12 1.40418e12i 0.809582 0.467413i −0.0372286 0.999307i \(-0.511853\pi\)
0.846811 + 0.531894i \(0.178520\pi\)
\(314\) 4.40376e11 7.62754e11i 0.144270 0.249883i
\(315\) 5.30412e11 9.18701e11i 0.171025 0.296225i
\(316\) −1.71787e12 + 2.97544e12i −0.545199 + 0.944312i
\(317\) 1.84608e12 0.576705 0.288352 0.957524i \(-0.406893\pi\)
0.288352 + 0.957524i \(0.406893\pi\)
\(318\) 1.01334e11 1.75515e11i 0.0311615 0.0539733i
\(319\) 1.03474e11 + 5.97410e10i 0.0313242 + 0.0180850i
\(320\) 1.10553e12 6.38275e11i 0.329472 0.190221i
\(321\) 2.63373e12 1.52058e12i 0.772762 0.446155i
\(322\) 2.82285e11 0.0815472
\(323\) 2.20585e12i 0.627427i
\(324\) −9.54359e11 1.65300e12i −0.267293 0.462964i
\(325\) 7.83278e11 + 1.35668e12i 0.216023 + 0.374162i
\(326\) −7.63355e11 + 1.32217e12i −0.207319 + 0.359087i
\(327\) 2.73545e12 + 1.57931e12i 0.731628 + 0.422406i
\(328\) 4.60285e11i 0.121243i
\(329\) −7.02416e11 4.05540e11i −0.182228 0.105209i
\(330\) 2.01392e10 + 1.16274e10i 0.00514602 + 0.00297106i
\(331\) 5.72993e12 + 3.30818e12i 1.44215 + 0.832623i 0.997993 0.0633278i \(-0.0201713\pi\)
0.444153 + 0.895951i \(0.353505\pi\)
\(332\) 8.05710e11 + 1.39553e12i 0.199751 + 0.345978i
\(333\) 1.27504e13i 3.11389i
\(334\) 1.12250e12 6.48074e11i 0.270055 0.155917i
\(335\) −6.09481e11 3.51884e11i −0.144456 0.0834018i
\(336\) 2.21666e12 0.517610
\(337\) −1.75950e12 + 3.04755e12i −0.404800 + 0.701134i −0.994298 0.106636i \(-0.965992\pi\)
0.589498 + 0.807769i \(0.299325\pi\)
\(338\) 5.35484e11 3.09162e11i 0.121384 0.0700813i
\(339\) −1.24861e12 2.16266e12i −0.278888 0.483048i
\(340\) 1.27958e12i 0.281627i
\(341\) −2.73953e10 4.74500e10i −0.00594161 0.0102912i
\(342\) 2.06356e12 0.441050
\(343\) 3.16546e12i 0.666756i
\(344\) 4.27196e11 + 1.98787e12i 0.0886818 + 0.412664i
\(345\) 4.55194e12 0.931326
\(346\) 1.87248e12i 0.377603i
\(347\) −6.39936e12 + 3.69467e12i −1.27201 + 0.734393i −0.975365 0.220596i \(-0.929200\pi\)
−0.296641 + 0.954989i \(0.595867\pi\)
\(348\) −9.48276e12 −1.85797
\(349\) −9.28603e10 + 5.36129e10i −0.0179351 + 0.0103548i −0.508941 0.860802i \(-0.669963\pi\)
0.491006 + 0.871156i \(0.336629\pi\)
\(350\) 1.47213e11 + 2.54981e11i 0.0280289 + 0.0485475i
\(351\) −3.90143e12 2.25249e12i −0.732299 0.422793i
\(352\) 1.02924e11i 0.0190460i
\(353\) 4.56128e12 7.90036e12i 0.832172 1.44136i −0.0641411 0.997941i \(-0.520431\pi\)
0.896313 0.443423i \(-0.146236\pi\)
\(354\) 1.27199e12 + 2.20315e12i 0.228806 + 0.396304i
\(355\) −1.54544e12 −0.274101
\(356\) −3.97000e12 + 2.29208e12i −0.694290 + 0.400849i
\(357\) −9.87669e11 + 1.71069e12i −0.170322 + 0.295006i
\(358\) −1.95346e11 + 3.38349e11i −0.0332192 + 0.0575374i
\(359\) −5.15423e12 + 8.92739e12i −0.864354 + 1.49711i 0.00333239 + 0.999994i \(0.498939\pi\)
−0.867687 + 0.497111i \(0.834394\pi\)
\(360\) −2.45272e12 −0.405636
\(361\) 6.83530e11 1.18391e12i 0.111486 0.193100i
\(362\) 1.01997e12 + 5.88877e11i 0.164075 + 0.0947288i
\(363\) −9.19874e12 + 5.31090e12i −1.45947 + 0.842626i
\(364\) 1.11302e12 6.42601e11i 0.174179 0.100562i
\(365\) 2.19594e12 0.338966
\(366\) 1.36782e12i 0.208268i
\(367\) 1.70707e12 + 2.95673e12i 0.256402 + 0.444101i 0.965275 0.261235i \(-0.0841296\pi\)
−0.708874 + 0.705336i \(0.750796\pi\)
\(368\) 3.08454e12 + 5.34258e12i 0.457037 + 0.791611i
\(369\) 1.81346e12 3.14100e12i 0.265079 0.459131i
\(370\) −1.14002e12 6.58188e11i −0.164400 0.0949164i
\(371\) 4.27712e11i 0.0608530i
\(372\) 3.76590e12 + 2.17424e12i 0.528633 + 0.305206i
\(373\) −1.03186e11 5.95744e10i −0.0142914 0.00825117i 0.492837 0.870122i \(-0.335960\pi\)
−0.507129 + 0.861870i \(0.669293\pi\)
\(374\) −2.43224e10 1.40426e10i −0.00332391 0.00191906i
\(375\) 5.63076e12 + 9.75276e12i 0.759295 + 1.31514i
\(376\) 1.87529e12i 0.249534i
\(377\) −4.51679e12 + 2.60777e12i −0.593094 + 0.342423i
\(378\) −7.33255e11 4.23345e11i −0.0950158 0.0548574i
\(379\) −4.77174e12 −0.610212 −0.305106 0.952318i \(-0.598692\pi\)
−0.305106 + 0.952318i \(0.598692\pi\)
\(380\) −2.17478e12 + 3.76683e12i −0.274472 + 0.475399i
\(381\) 8.54265e12 4.93210e12i 1.06406 0.614337i
\(382\) −8.50621e11 1.47332e12i −0.104573 0.181126i
\(383\) 1.87619e12i 0.227658i 0.993500 + 0.113829i \(0.0363116\pi\)
−0.993500 + 0.113829i \(0.963688\pi\)
\(384\) −5.39623e12 9.34655e12i −0.646300 1.11943i
\(385\) −4.90771e10 −0.00580197
\(386\) 1.83871e12i 0.214574i
\(387\) −4.91675e12 + 1.52484e13i −0.566400 + 1.75659i
\(388\) 8.44705e12 0.960608
\(389\) 1.68975e13i 1.89703i −0.316735 0.948514i \(-0.602587\pi\)
0.316735 0.948514i \(-0.397413\pi\)
\(390\) −8.79101e11 + 5.07549e11i −0.0974351 + 0.0562542i
\(391\) −5.49747e12 −0.601560
\(392\) −2.95484e12 + 1.70598e12i −0.319230 + 0.184308i
\(393\) 1.08498e13 + 1.87925e13i 1.15734 + 2.00457i
\(394\) −5.33566e11 3.08054e11i −0.0561962 0.0324449i
\(395\) 5.72697e12i 0.595579i
\(396\) −2.68201e11 + 4.64538e11i −0.0275413 + 0.0477030i
\(397\) 6.26619e12 + 1.08534e13i 0.635406 + 1.10056i 0.986429 + 0.164189i \(0.0525006\pi\)
−0.351023 + 0.936367i \(0.614166\pi\)
\(398\) −4.12556e12 −0.413112
\(399\) −5.81499e12 + 3.35729e12i −0.575022 + 0.331989i
\(400\) −3.21720e12 + 5.57236e12i −0.314180 + 0.544176i
\(401\) 7.61008e12 1.31810e13i 0.733952 1.27124i −0.221230 0.975222i \(-0.571007\pi\)
0.955182 0.296020i \(-0.0956595\pi\)
\(402\) −6.12970e11 + 1.06170e12i −0.0583861 + 0.101128i
\(403\) 2.39168e12 0.224998
\(404\) 5.98982e12 1.03747e13i 0.556553 0.963979i
\(405\) −2.75535e12 1.59080e12i −0.252873 0.145996i
\(406\) −8.48909e11 + 4.90118e11i −0.0769540 + 0.0444294i
\(407\) −5.10847e11 + 2.94938e11i −0.0457424 + 0.0264094i
\(408\) 4.56716e12 0.403967
\(409\) 1.51574e13i 1.32437i −0.749342 0.662183i \(-0.769630\pi\)
0.749342 0.662183i \(-0.230370\pi\)
\(410\) −1.87225e11 3.24283e11i −0.0161601 0.0279901i
\(411\) 9.73150e11 + 1.68555e12i 0.0829795 + 0.143725i
\(412\) 3.79983e12 6.58150e12i 0.320095 0.554420i
\(413\) −4.64957e12 2.68443e12i −0.386956 0.223409i
\(414\) 5.14286e12i 0.422866i
\(415\) 2.32618e12 + 1.34302e12i 0.188974 + 0.109104i
\(416\) −3.89086e12 2.24639e12i −0.312305 0.180309i
\(417\) 2.00765e13 + 1.15912e13i 1.59224 + 0.919280i
\(418\) −4.77335e10 8.26769e10i −0.00374061 0.00647892i
\(419\) 2.30295e13i 1.78326i −0.452764 0.891630i \(-0.649562\pi\)
0.452764 0.891630i \(-0.350438\pi\)
\(420\) 3.37320e12 1.94752e12i 0.258104 0.149017i
\(421\) 1.13505e13 + 6.55319e12i 0.858228 + 0.495498i 0.863419 0.504488i \(-0.168319\pi\)
−0.00519018 + 0.999987i \(0.501652\pi\)
\(422\) −3.47515e12 −0.259664
\(423\) −7.38840e12 + 1.27971e13i −0.545567 + 0.944950i
\(424\) 8.56422e11 4.94455e11i 0.0624969 0.0360826i
\(425\) −2.86696e12 4.96571e12i −0.206765 0.358127i
\(426\) 2.69211e12i 0.191887i
\(427\) 1.44333e12 + 2.49992e12i 0.101678 + 0.176111i
\(428\) 7.24229e12 0.504263
\(429\) 4.54871e11i 0.0313041i
\(430\) 1.10956e12 + 1.22674e12i 0.0754756 + 0.0834472i
\(431\) −2.34010e13 −1.57343 −0.786716 0.617315i \(-0.788221\pi\)
−0.786716 + 0.617315i \(0.788221\pi\)
\(432\) 1.85036e13i 1.22981i
\(433\) −1.23514e13 + 7.13111e12i −0.811481 + 0.468509i −0.847470 0.530844i \(-0.821875\pi\)
0.0359891 + 0.999352i \(0.488542\pi\)
\(434\) 4.49504e11 0.0291934
\(435\) −1.36889e13 + 7.90331e12i −0.878868 + 0.507414i
\(436\) 3.76101e12 + 6.51425e12i 0.238711 + 0.413459i
\(437\) −1.61834e13 9.34350e12i −1.01546 0.586276i
\(438\) 3.82526e12i 0.237296i
\(439\) −4.63711e12 + 8.03171e12i −0.284397 + 0.492590i −0.972463 0.233059i \(-0.925127\pi\)
0.688066 + 0.725648i \(0.258460\pi\)
\(440\) 5.67354e10 + 9.82686e10i 0.00344026 + 0.00595870i
\(441\) −2.68853e13 −1.61184
\(442\) 1.06171e12 6.12976e11i 0.0629351 0.0363356i
\(443\) −1.07339e13 + 1.85917e13i −0.629129 + 1.08968i 0.358598 + 0.933492i \(0.383255\pi\)
−0.987727 + 0.156191i \(0.950079\pi\)
\(444\) 2.34079e13 4.05437e13i 1.35659 2.34968i
\(445\) −3.82063e12 + 6.61752e12i −0.218945 + 0.379224i
\(446\) 9.63550e11 0.0546009
\(447\) −4.10869e12 + 7.11646e12i −0.230232 + 0.398773i
\(448\) 4.06422e12 + 2.34648e12i 0.225210 + 0.130025i
\(449\) 9.49138e12 5.47985e12i 0.520113 0.300287i −0.216868 0.976201i \(-0.569584\pi\)
0.736981 + 0.675914i \(0.236251\pi\)
\(450\) 4.64541e12 2.68203e12i 0.251745 0.145345i
\(451\) −1.67793e11 −0.00899271
\(452\) 5.94694e12i 0.315211i
\(453\) 1.43668e13 + 2.48840e13i 0.753128 + 1.30446i
\(454\) −1.27595e12 2.21001e12i −0.0661537 0.114581i
\(455\) 1.07114e12 1.85527e12i 0.0549274 0.0951371i
\(456\) 1.34448e13 + 7.76236e12i 0.681915 + 0.393704i
\(457\) 1.55277e13i 0.778980i −0.921031 0.389490i \(-0.872651\pi\)
0.921031 0.389490i \(-0.127349\pi\)
\(458\) −9.91299e11 5.72327e11i −0.0491900 0.0283999i
\(459\) 1.42800e13 + 8.24458e12i 0.700916 + 0.404674i
\(460\) 9.38778e12 + 5.42004e12i 0.455800 + 0.263156i
\(461\) −1.87849e13 3.25364e13i −0.902202 1.56266i −0.824630 0.565673i \(-0.808616\pi\)
−0.0775724 0.996987i \(-0.524717\pi\)
\(462\) 8.54908e10i 0.00406171i
\(463\) 2.05097e13 1.18413e13i 0.963950 0.556537i 0.0665633 0.997782i \(-0.478797\pi\)
0.897386 + 0.441246i \(0.145463\pi\)
\(464\) −1.85521e13 1.07111e13i −0.862587 0.498015i
\(465\) 7.24840e12 0.333409
\(466\) −3.18806e12 + 5.52189e12i −0.145077 + 0.251280i
\(467\) 6.92920e12 4.00058e12i 0.311960 0.180110i −0.335843 0.941918i \(-0.609021\pi\)
0.647803 + 0.761808i \(0.275688\pi\)
\(468\) −1.17073e13 2.02777e13i −0.521469 0.903212i
\(469\) 2.58725e12i 0.114018i
\(470\) 7.62791e11 + 1.32119e12i 0.0332595 + 0.0576072i
\(471\) 5.22121e13 2.25251
\(472\) 1.24133e13i 0.529879i
\(473\) 7.24662e11 1.55730e11i 0.0306077 0.00657761i
\(474\) 9.97619e12 0.416940
\(475\) 1.94907e13i 0.806046i
\(476\) −4.07387e12 + 2.35205e12i −0.166714 + 0.0962525i
\(477\) 7.79234e12 0.315556
\(478\) −8.49103e12 + 4.90230e12i −0.340268 + 0.196454i
\(479\) 2.80977e12 + 4.86666e12i 0.111428 + 0.192998i 0.916346 0.400387i \(-0.131124\pi\)
−0.804918 + 0.593385i \(0.797791\pi\)
\(480\) −1.17919e13 6.80808e12i −0.462785 0.267189i
\(481\) 2.57488e13i 1.00007i
\(482\) 1.41273e12 2.44692e12i 0.0543030 0.0940556i
\(483\) 8.36710e12 + 1.44923e13i 0.318302 + 0.551315i
\(484\) −2.52949e13 −0.952372
\(485\) 1.21938e13 7.04011e12i 0.454393 0.262344i
\(486\) 1.40777e12 2.43833e12i 0.0519219 0.0899314i
\(487\) −4.45606e12 + 7.71813e12i −0.162670 + 0.281752i −0.935825 0.352464i \(-0.885344\pi\)
0.773156 + 0.634216i \(0.218677\pi\)
\(488\) 3.33711e12 5.78005e12i 0.120579 0.208849i
\(489\) −9.05052e13 −3.23690
\(490\) −1.38784e12 + 2.40382e12i −0.0491315 + 0.0850983i
\(491\) 9.94238e12 + 5.74023e12i 0.348404 + 0.201151i 0.663982 0.747749i \(-0.268865\pi\)
−0.315578 + 0.948900i \(0.602198\pi\)
\(492\) 1.15328e13 6.65849e12i 0.400047 0.230967i
\(493\) 1.65324e13 9.54497e12i 0.567676 0.327748i
\(494\) 4.16726e12 0.141650
\(495\) 8.94119e11i 0.0300864i
\(496\) 4.91174e12 + 8.50739e12i 0.163617 + 0.283392i
\(497\) −2.84074e12 4.92030e12i −0.0936805 0.162259i
\(498\) 2.33950e12 4.05213e12i 0.0763794 0.132293i
\(499\) 3.76372e13 + 2.17299e13i 1.21651 + 0.702351i 0.964169 0.265288i \(-0.0854670\pi\)
0.252339 + 0.967639i \(0.418800\pi\)
\(500\) 2.68184e13i 0.858187i
\(501\) 6.65430e13 + 3.84186e13i 2.10821 + 1.21717i
\(502\) −9.64478e12 5.56841e12i −0.302534 0.174668i
\(503\) −4.49980e13 2.59796e13i −1.39750 0.806849i −0.403373 0.915036i \(-0.632162\pi\)
−0.994131 + 0.108187i \(0.965496\pi\)
\(504\) −4.50845e12 7.80886e12i −0.138635 0.240124i
\(505\) 1.99686e13i 0.607983i
\(506\) −2.06049e11 + 1.18963e11i −0.00621182 + 0.00358639i
\(507\) 3.17441e13 + 1.83275e13i 0.947597 + 0.547095i
\(508\) 2.34908e13 0.694350
\(509\) 1.39727e13 2.42014e13i 0.408970 0.708356i −0.585805 0.810452i \(-0.699222\pi\)
0.994775 + 0.102096i \(0.0325549\pi\)
\(510\) 3.21769e12 1.85773e12i 0.0932595 0.0538434i
\(511\) 4.03644e12 + 6.99132e12i 0.115850 + 0.200657i
\(512\) 3.12563e13i 0.888358i
\(513\) 2.80250e13 + 4.85407e13i 0.788785 + 1.36622i
\(514\) −2.52540e12 −0.0703905
\(515\) 1.26677e13i 0.349674i
\(516\) −4.36281e13 + 3.94604e13i −1.19266 + 1.07873i
\(517\) 6.83622e11 0.0185082
\(518\) 4.83936e12i 0.129760i
\(519\) −9.61311e13 + 5.55013e13i −2.55286 + 1.47389i
\(520\) −4.95315e12 −0.130276
\(521\) −3.96919e13 + 2.29161e13i −1.03398 + 0.596970i −0.918123 0.396296i \(-0.870296\pi\)
−0.115859 + 0.993266i \(0.536962\pi\)
\(522\) 8.92929e12 + 1.54660e13i 0.230390 + 0.399048i
\(523\) −4.62395e13 2.66964e13i −1.18169 0.682251i −0.225287 0.974292i \(-0.572332\pi\)
−0.956406 + 0.292042i \(0.905665\pi\)
\(524\) 5.16760e13i 1.30807i
\(525\) −8.72697e12 + 1.51156e13i −0.218810 + 0.378990i
\(526\) 3.98353e12 + 6.89967e12i 0.0989326 + 0.171356i
\(527\) −8.75403e12 −0.215355
\(528\) −1.61801e12 + 9.34159e11i −0.0394287 + 0.0227641i
\(529\) −2.57284e12 + 4.45628e12i −0.0621060 + 0.107571i
\(530\) 4.02248e11 6.96713e11i 0.00961865 0.0166600i
\(531\) −4.89067e13 + 8.47089e13i −1.15850 + 2.00658i
\(532\) −1.59902e13 −0.375228
\(533\) 3.66219e12 6.34309e12i 0.0851343 0.147457i
\(534\) 1.15275e13 + 6.65541e12i 0.265479 + 0.153274i
\(535\) 1.04547e13 6.03602e12i 0.238529 0.137715i
\(536\) −5.18052e12 + 2.99098e12i −0.117098 + 0.0676066i
\(537\) −2.31607e13 −0.518657
\(538\) 1.10197e13i 0.244489i
\(539\) 6.21900e11 + 1.07716e12i 0.0136703 + 0.0236776i
\(540\) −1.62569e13 2.81578e13i −0.354054 0.613240i
\(541\) 1.41921e13 2.45815e13i 0.306240 0.530423i −0.671297 0.741189i \(-0.734262\pi\)
0.977537 + 0.210766i \(0.0675957\pi\)
\(542\) 1.78844e12 + 1.03256e12i 0.0382365 + 0.0220758i
\(543\) 6.98187e13i 1.47901i
\(544\) 1.42413e13 + 8.22224e12i 0.298921 + 0.172582i
\(545\) 1.08585e13 + 6.26915e12i 0.225833 + 0.130385i
\(546\) −3.23182e12 1.86589e12i −0.0666014 0.0384524i
\(547\) −3.13618e13 5.43202e13i −0.640419 1.10924i −0.985339 0.170606i \(-0.945427\pi\)
0.344920 0.938632i \(-0.387906\pi\)
\(548\) 4.63495e12i 0.0937870i
\(549\) 4.55452e13 2.62955e13i 0.913232 0.527255i
\(550\) −2.14911e11 1.24079e11i −0.00427018 0.00246539i
\(551\) 6.48906e13 1.27768
\(552\) 1.93455e13 3.35074e13i 0.377472 0.653801i
\(553\) −1.82332e13 + 1.05270e13i −0.352564 + 0.203553i
\(554\) 2.79685e12 + 4.84429e12i 0.0535946 + 0.0928285i
\(555\) 7.80363e13i 1.48194i
\(556\) 2.76035e13 + 4.78106e13i 0.519505 + 0.899809i
\(557\) 4.62750e13 0.863118 0.431559 0.902085i \(-0.357964\pi\)
0.431559 + 0.902085i \(0.357964\pi\)
\(558\) 8.18937e12i 0.151384i
\(559\) −9.92913e12 + 3.07934e13i −0.181908 + 0.564156i
\(560\) 8.79911e12 0.159771
\(561\) 1.66492e12i 0.0299626i
\(562\) −1.15520e13 + 6.66955e12i −0.206051 + 0.118964i
\(563\) −4.65452e13 −0.822873 −0.411436 0.911439i \(-0.634973\pi\)
−0.411436 + 0.911439i \(0.634973\pi\)
\(564\) −4.69871e13 + 2.71280e13i −0.823347 + 0.475360i
\(565\) −4.95642e12 8.58477e12i −0.0860847 0.149103i
\(566\) −2.11183e12 1.21927e12i −0.0363561 0.0209902i
\(567\) 1.16965e13i 0.199590i
\(568\) −6.56805e12 + 1.13762e13i −0.111095 + 0.192422i
\(569\) 4.06231e13 + 7.03613e13i 0.681102 + 1.17970i 0.974645 + 0.223757i \(0.0718323\pi\)
−0.293543 + 0.955946i \(0.594834\pi\)
\(570\) 1.26296e13 0.209902
\(571\) 1.01627e14 5.86742e13i 1.67428 0.966644i 0.709076 0.705132i \(-0.249112\pi\)
0.965200 0.261512i \(-0.0842213\pi\)
\(572\) −5.41619e11 + 9.38111e11i −0.00884532 + 0.0153205i
\(573\) 5.04258e13 8.73401e13i 0.816357 1.41397i
\(574\) 6.88290e11 1.19215e12i 0.0110462 0.0191325i
\(575\) −4.85752e13 −0.772815
\(576\) 4.27497e13 7.40446e13i 0.674249 1.16783i
\(577\) −7.87682e13 4.54768e13i −1.23161 0.711068i −0.264241 0.964457i \(-0.585122\pi\)
−0.967365 + 0.253388i \(0.918455\pi\)
\(578\) 8.18652e12 4.72649e12i 0.126899 0.0732655i
\(579\) 9.43976e13 5.45005e13i 1.45067 0.837543i
\(580\) −3.76422e13 −0.573502
\(581\) 9.87464e12i 0.149156i
\(582\) −1.22636e13 2.12413e13i −0.183656 0.318101i
\(583\) −1.80249e11 3.12201e11i −0.00267628 0.00463545i
\(584\) 9.33263e12 1.61646e13i 0.137385 0.237958i
\(585\) −3.38005e13 1.95147e13i −0.493337 0.284828i
\(586\) 1.36798e13i 0.197966i
\(587\) 7.63367e13 + 4.40730e13i 1.09533 + 0.632386i 0.934989 0.354676i \(-0.115409\pi\)
0.160336 + 0.987062i \(0.448742\pi\)
\(588\) −8.54896e13 4.93575e13i −1.21626 0.702209i
\(589\) −2.57701e13 1.48784e13i −0.363529 0.209884i
\(590\) 5.04921e12 + 8.74549e12i 0.0706258 + 0.122328i
\(591\) 3.65236e13i 0.506567i
\(592\) 9.15906e13 5.28798e13i 1.25963 0.727246i
\(593\) 9.06253e13 + 5.23225e13i 1.23588 + 0.713535i 0.968249 0.249987i \(-0.0804263\pi\)
0.267630 + 0.963522i \(0.413760\pi\)
\(594\) 7.13636e11 0.00965038
\(595\) −3.92059e12 + 6.79066e12i −0.0525734 + 0.0910599i
\(596\) −1.69472e13 + 9.78450e12i −0.225355 + 0.130109i
\(597\) −1.22284e14 2.11802e14i −1.61249 2.79292i
\(598\) 1.03857e13i 0.135810i
\(599\) 6.43983e13 + 1.11541e14i 0.835103 + 1.44644i 0.893947 + 0.448173i \(0.147925\pi\)
−0.0588438 + 0.998267i \(0.518741\pi\)
\(600\) 4.03551e13 0.518970
\(601\) 9.87665e12i 0.125961i −0.998015 0.0629807i \(-0.979939\pi\)
0.998015 0.0629807i \(-0.0200606\pi\)
\(602\) −1.86613e12 + 5.78747e12i −0.0236026 + 0.0731992i
\(603\) −4.71361e13 −0.591245
\(604\) 6.84267e13i 0.851218i
\(605\) −3.65148e13 + 2.10818e13i −0.450497 + 0.260094i
\(606\) −3.47847e13 −0.425623
\(607\) −1.11908e14 + 6.46100e13i −1.35805 + 0.784073i −0.989361 0.145479i \(-0.953528\pi\)
−0.368692 + 0.929552i \(0.620194\pi\)
\(608\) 2.79491e13 + 4.84092e13i 0.336395 + 0.582653i
\(609\) −5.03243e13 2.90548e13i −0.600747 0.346841i
\(610\) 5.42960e12i 0.0642863i
\(611\) −1.49205e13 + 2.58430e13i −0.175217 + 0.303485i
\(612\) 4.28512e13 + 7.42205e13i 0.499121 + 0.864503i
\(613\) 5.49215e13 0.634513 0.317256 0.948340i \(-0.397238\pi\)
0.317256 + 0.948340i \(0.397238\pi\)
\(614\) 4.09199e12 2.36251e12i 0.0468914 0.0270728i
\(615\) 1.10989e13 1.92239e13i 0.126155 0.218507i
\(616\) −2.08575e11 + 3.61263e11i −0.00235158 + 0.00407305i
\(617\) −3.23503e13 + 5.60323e13i −0.361786 + 0.626632i −0.988255 0.152815i \(-0.951166\pi\)
0.626469 + 0.779447i \(0.284500\pi\)
\(618\) −2.20668e13 −0.244792
\(619\) −2.63718e13 + 4.56774e13i −0.290193 + 0.502629i −0.973855 0.227169i \(-0.927053\pi\)
0.683662 + 0.729799i \(0.260386\pi\)
\(620\) 1.49489e13 + 8.63074e12i 0.163174 + 0.0942084i
\(621\) 1.20974e14 6.98446e13i 1.30989 0.756266i
\(622\) −2.35854e13 + 1.36170e13i −0.253332 + 0.146261i
\(623\) −2.80914e13 −0.299318
\(624\) 8.15545e13i 0.862035i
\(625\) −1.24039e13 2.14841e13i −0.130064 0.225277i
\(626\) −9.70962e12 1.68175e13i −0.101002 0.174941i
\(627\) 2.82970e12 4.90118e12i 0.0292013 0.0505782i
\(628\) 1.07680e14 + 6.21693e13i 1.10240 + 0.636470i
\(629\) 9.42459e13i 0.957215i
\(630\) −6.35264e12 3.66770e12i −0.0640105 0.0369565i
\(631\) −3.02907e13 1.74883e13i −0.302805 0.174824i 0.340898 0.940100i \(-0.389269\pi\)
−0.643702 + 0.765276i \(0.722602\pi\)
\(632\) 4.21569e13 + 2.43393e13i 0.418103 + 0.241392i
\(633\) −1.03005e14 1.78411e14i −1.01354 1.75551i
\(634\) 1.27653e13i 0.124619i
\(635\) 3.39104e13 1.95782e13i 0.328446 0.189628i
\(636\) 2.47780e13 + 1.43056e13i 0.238112 + 0.137474i
\(637\) −5.42935e13 −0.517667
\(638\) 4.13098e11 7.15506e11i 0.00390795 0.00676877i
\(639\) −8.96413e13 + 5.17545e13i −0.841403 + 0.485784i
\(640\) −2.14205e13 3.71015e13i −0.199494 0.345534i
\(641\) 4.97686e13i 0.459902i 0.973202 + 0.229951i \(0.0738565\pi\)
−0.973202 + 0.229951i \(0.926143\pi\)
\(642\) −1.05145e13 1.82117e13i −0.0964085 0.166984i
\(643\) 1.22554e14 1.11499 0.557496 0.830180i \(-0.311762\pi\)
0.557496 + 0.830180i \(0.311762\pi\)
\(644\) 3.98511e13i 0.359759i
\(645\) −3.00920e13 + 9.33249e13i −0.269558 + 0.835986i
\(646\) −1.52530e13 −0.135579
\(647\) 2.15246e14i 1.89851i −0.314506 0.949255i \(-0.601839\pi\)
0.314506 0.949255i \(-0.398161\pi\)
\(648\) −2.34202e13 + 1.35217e13i −0.204982 + 0.118346i
\(649\) 4.52516e12 0.0393016
\(650\) 9.38116e12 5.41622e12i 0.0808518 0.0466798i
\(651\) 1.33236e13 + 2.30771e13i 0.113950 + 0.197368i
\(652\) −1.86655e14 1.07765e14i −1.58417 0.914621i
\(653\) 3.27260e13i 0.275630i −0.990458 0.137815i \(-0.955992\pi\)
0.990458 0.137815i \(-0.0440080\pi\)
\(654\) 1.09207e13 1.89151e13i 0.0912767 0.158096i
\(655\) 4.30688e13 + 7.45974e13i 0.357237 + 0.618753i
\(656\) 3.00838e13 0.247636
\(657\) 1.27373e14 7.35386e13i 1.04052 0.600743i
\(658\) −2.80423e12 + 4.85707e12i −0.0227344 + 0.0393772i
\(659\) 9.70359e13 1.68071e14i 0.780738 1.35228i −0.150774 0.988568i \(-0.548177\pi\)
0.931512 0.363710i \(-0.118490\pi\)
\(660\) −1.64147e12 + 2.84311e12i −0.0131073 + 0.0227025i
\(661\) 1.94771e13 0.154354 0.0771768 0.997017i \(-0.475409\pi\)
0.0771768 + 0.997017i \(0.475409\pi\)
\(662\) 2.28754e13 3.96213e13i 0.179920 0.311630i
\(663\) 6.29392e13 + 3.63380e13i 0.491308 + 0.283657i
\(664\) 1.97723e13 1.14155e13i 0.153185 0.0884415i
\(665\) −2.30828e13 + 1.33269e13i −0.177493 + 0.102475i
\(666\) −8.81667e13 −0.672874
\(667\) 1.61722e14i 1.22501i
\(668\) 9.14907e13 + 1.58467e14i 0.687851 + 1.19139i
\(669\) 2.85602e13 + 4.94677e13i 0.213123 + 0.369140i
\(670\) −2.43321e12 + 4.21444e12i −0.0180221 + 0.0312152i
\(671\) −2.10707e12 1.21652e12i −0.0154905 0.00894345i
\(672\) 5.00568e13i 0.365272i
\(673\) −1.38048e14 7.97018e13i −0.999893 0.577289i −0.0916766 0.995789i \(-0.529223\pi\)
−0.908217 + 0.418500i \(0.862556\pi\)
\(674\) 2.10732e13 + 1.21666e13i 0.151506 + 0.0874722i
\(675\) 1.26177e14 + 7.28485e13i 0.900456 + 0.519879i
\(676\) 4.36454e13 + 7.55960e13i 0.309175 + 0.535507i
\(677\) 1.10972e13i 0.0780315i 0.999239 + 0.0390158i \(0.0124223\pi\)
−0.999239 + 0.0390158i \(0.987578\pi\)
\(678\) −1.49544e13 + 8.63393e12i −0.104381 + 0.0602643i
\(679\) 4.48279e13 + 2.58814e13i 0.310599 + 0.179324i
\(680\) 1.81295e13 0.124693
\(681\) 7.56397e13 1.31012e14i 0.516434 0.894489i
\(682\) −3.28108e11 + 1.89433e11i −0.00222380 + 0.00128391i
\(683\) 1.18677e14 + 2.05555e14i 0.798481 + 1.38301i 0.920605 + 0.390495i \(0.127696\pi\)
−0.122124 + 0.992515i \(0.538971\pi\)
\(684\) 2.91320e14i 1.94576i
\(685\) 3.86296e12 + 6.69084e12i 0.0256134 + 0.0443637i
\(686\) −2.18886e13 −0.144078
\(687\) 6.78564e13i 0.443412i
\(688\) −1.29926e14 + 2.79212e13i −0.842856 + 0.181130i
\(689\) 1.57362e13 0.101346
\(690\) 3.14758e13i 0.201248i
\(691\) −2.89361e13 + 1.67063e13i −0.183675 + 0.106045i −0.589018 0.808120i \(-0.700485\pi\)
0.405343 + 0.914165i \(0.367152\pi\)
\(692\) −2.64344e14 −1.66586
\(693\) −2.84665e12 + 1.64352e12i −0.0178102 + 0.0102827i
\(694\) 2.55480e13 + 4.42504e13i 0.158693 + 0.274865i
\(695\) 7.96946e13 + 4.60117e13i 0.491479 + 0.283755i
\(696\) 1.34355e14i 0.822634i
\(697\) −1.34043e13 + 2.32170e13i −0.0814858 + 0.141137i
\(698\) 3.70723e11 + 6.42111e11i 0.00223755 + 0.00387555i
\(699\) −3.77984e14 −2.26510
\(700\) −3.59964e13 + 2.07826e13i −0.214175 + 0.123654i
\(701\) −9.41601e13 + 1.63090e14i −0.556258 + 0.963468i 0.441546 + 0.897239i \(0.354430\pi\)
−0.997804 + 0.0662292i \(0.978903\pi\)
\(702\) −1.55756e13 + 2.69777e13i −0.0913604 + 0.158241i
\(703\) −1.60180e14 + 2.77441e14i −0.932895 + 1.61582i
\(704\) −3.95547e12 −0.0228736
\(705\) −4.52191e13 + 7.83219e13i −0.259643 + 0.449715i
\(706\) −5.46295e13 3.15403e13i −0.311461 0.179822i
\(707\) 6.35751e13 3.67051e13i 0.359907 0.207792i
\(708\) −3.11026e14 + 1.79571e14i −1.74836 + 1.00941i
\(709\) 3.10681e14 1.73414 0.867069 0.498188i \(-0.166001\pi\)
0.867069 + 0.498188i \(0.166001\pi\)
\(710\) 1.06864e13i 0.0592299i
\(711\) 1.91787e14 + 3.32185e14i 1.05553 + 1.82823i
\(712\) 3.24749e13 + 5.62483e13i 0.177480 + 0.307404i
\(713\) −3.70802e13 + 6.42248e13i −0.201231 + 0.348542i
\(714\) 1.18291e13 + 6.82954e12i 0.0637472 + 0.0368044i
\(715\) 1.80563e12i 0.00966269i
\(716\) −4.77658e13 2.75776e13i −0.253835 0.146552i
\(717\) −5.03358e14 2.90614e14i −2.65633 1.53363i
\(718\) 6.17312e13 + 3.56405e13i 0.323506 + 0.186776i
\(719\) −6.19810e12 1.07354e13i −0.0322562 0.0558695i 0.849447 0.527675i \(-0.176936\pi\)
−0.881703 + 0.471805i \(0.843603\pi\)
\(720\) 1.60308e14i 0.828500i
\(721\) 4.03309e13 2.32851e13i 0.206996 0.119509i
\(722\) −8.18650e12 4.72648e12i −0.0417265 0.0240908i
\(723\) 1.67497e14 0.847841
\(724\) −8.31337e13 + 1.43992e14i −0.417911 + 0.723844i
\(725\) 1.46079e14 8.43387e13i 0.729286 0.421053i
\(726\) 3.67238e13 + 6.36075e13i 0.182081 + 0.315374i
\(727\) 1.22209e14i 0.601773i −0.953660 0.300887i \(-0.902717\pi\)
0.953660 0.300887i \(-0.0972826\pi\)
\(728\) −9.10457e12 1.57696e13i −0.0445249 0.0771193i
\(729\) 2.82366e14 1.37143
\(730\) 1.51845e13i 0.0732464i
\(731\) 3.63426e13 1.12710e14i 0.174112 0.539978i
\(732\) 1.93099e14 0.918807
\(733\) 1.50042e14i 0.709077i −0.935041 0.354539i \(-0.884638\pi\)
0.935041 0.354539i \(-0.115362\pi\)
\(734\) 2.04452e13 1.18041e13i 0.0959648 0.0554053i
\(735\) −1.64546e14 −0.767098
\(736\) 1.20647e14 6.96553e13i 0.558632 0.322526i
\(737\) 1.09033e12 + 1.88851e12i 0.00501444 + 0.00868526i
\(738\) −2.17194e13 1.25397e13i −0.0992126 0.0572804i
\(739\) 2.73037e14i 1.23880i −0.785077 0.619398i \(-0.787377\pi\)
0.785077 0.619398i \(-0.212623\pi\)
\(740\) 9.29185e13 1.60940e14i 0.418739 0.725278i
\(741\) 1.23520e14 + 2.13943e14i 0.552900 + 0.957651i
\(742\) 2.95755e12 0.0131496
\(743\) −2.30970e14 + 1.33350e14i −1.02002 + 0.588912i −0.914111 0.405464i \(-0.867110\pi\)
−0.105914 + 0.994375i \(0.533777\pi\)
\(744\) 3.08053e13 5.33564e13i 0.135133 0.234057i
\(745\) −1.63096e13 + 2.82490e13i −0.0710660 + 0.123090i
\(746\) −4.11945e11 + 7.13510e11i −0.00178298 + 0.00308820i
\(747\) 1.79903e14 0.773454
\(748\) 1.98243e12 3.43368e12i 0.00846625 0.0146640i
\(749\) 3.84343e13 + 2.21901e13i 0.163046 + 0.0941346i
\(750\) 6.74384e13 3.89356e13i 0.284185 0.164074i
\(751\) −2.54818e14 + 1.47119e14i −1.06667 + 0.615842i −0.927270 0.374394i \(-0.877851\pi\)
−0.139400 + 0.990236i \(0.544517\pi\)
\(752\) −1.22568e14 −0.509667
\(753\) 6.60204e14i 2.72712i
\(754\) 1.80322e13 + 3.12328e13i 0.0739934 + 0.128160i
\(755\) 5.70295e13 + 9.87781e13i 0.232469 + 0.402648i
\(756\) 5.97650e13 1.03516e14i 0.242012 0.419178i
\(757\) −2.84678e14 1.64359e14i −1.14518 0.661171i −0.197473 0.980308i \(-0.563273\pi\)
−0.947708 + 0.319138i \(0.896607\pi\)
\(758\) 3.29957e13i 0.131859i
\(759\) −1.22148e13 7.05224e12i −0.0484930 0.0279975i
\(760\) 5.33696e13 + 3.08130e13i 0.210487 + 0.121525i
\(761\) 3.43009e14 + 1.98037e14i 1.34395