Properties

Label 43.11.d.a.7.2
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 7.2
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.35

$q$-expansion

\(f(q)\) \(=\) \(q-60.2423i q^{2} +(-388.590 + 224.353i) q^{3} -2605.13 q^{4} +(3532.79 - 2039.66i) q^{5} +(13515.5 + 23409.6i) q^{6} +(1359.86 + 785.115i) q^{7} +95251.0i q^{8} +(71143.8 - 123225. i) q^{9} +O(q^{10})\) \(q-60.2423i q^{2} +(-388.590 + 224.353i) q^{3} -2605.13 q^{4} +(3532.79 - 2039.66i) q^{5} +(13515.5 + 23409.6i) q^{6} +(1359.86 + 785.115i) q^{7} +95251.0i q^{8} +(71143.8 - 123225. i) q^{9} +(-122874. - 212823. i) q^{10} +30292.3 q^{11} +(1.01233e6 - 584469. i) q^{12} +(236798. - 410146. i) q^{13} +(47297.1 - 81921.0i) q^{14} +(-915205. + 1.58518e6i) q^{15} +3.07048e6 q^{16} +(-575773. + 997268. i) q^{17} +(-7.42334e6 - 4.28587e6i) q^{18} +(3.61873e6 - 2.08927e6i) q^{19} +(-9.20338e6 + 5.31357e6i) q^{20} -704571. q^{21} -1.82488e6i q^{22} +(4.02466e6 + 6.97091e6i) q^{23} +(-2.13698e7 - 3.70136e7i) q^{24} +(3.43759e6 - 5.95407e6i) q^{25} +(-2.47081e7 - 1.42653e7i) q^{26} +3.73497e7i q^{27} +(-3.54261e6 - 2.04533e6i) q^{28} +(1.14375e6 + 660347. i) q^{29} +(9.54950e7 + 5.51341e7i) q^{30} +(-2.17463e7 - 3.76657e7i) q^{31} -8.74357e7i q^{32} +(-1.17713e7 + 6.79616e6i) q^{33} +(6.00777e7 + 3.46859e7i) q^{34} +6.40546e6 q^{35} +(-1.85339e8 + 3.21017e8i) q^{36} +(-5.29076e7 + 3.05462e7i) q^{37} +(-1.25863e8 - 2.18001e8i) q^{38} +2.12505e8i q^{39} +(1.94279e8 + 3.36502e8i) q^{40} -1.75251e7 q^{41} +4.24450e7i q^{42} +(6.67129e7 - 1.31000e8i) q^{43} -7.89154e7 q^{44} -5.80436e8i q^{45} +(4.19943e8 - 2.42454e8i) q^{46} +1.91389e8 q^{47} +(-1.19316e9 + 6.88871e8i) q^{48} +(-1.40005e8 - 2.42495e8i) q^{49} +(-3.58687e8 - 2.07088e8i) q^{50} -5.16705e8i q^{51} +(-6.16890e8 + 1.06848e9i) q^{52} +(-2.38801e8 - 4.13616e8i) q^{53} +2.25003e9 q^{54} +(1.07016e8 - 6.17858e7i) q^{55} +(-7.47830e7 + 1.29528e8i) q^{56} +(-9.37469e8 + 1.62374e9i) q^{57} +(3.97808e7 - 6.89024e7i) q^{58} -3.62652e8 q^{59} +(2.38423e9 - 4.12961e9i) q^{60} +(-1.37312e9 - 7.92772e8i) q^{61} +(-2.26907e9 + 1.31005e9i) q^{62} +(1.93491e8 - 1.11712e8i) q^{63} -2.12315e9 q^{64} -1.93195e9i q^{65} +(4.09416e8 + 7.09129e8i) q^{66} +(3.62091e8 + 6.27160e8i) q^{67} +(1.49996e9 - 2.59801e9i) q^{68} +(-3.12789e9 - 1.80589e9i) q^{69} -3.85880e8i q^{70} +(1.92746e9 + 1.11282e9i) q^{71} +(1.17373e10 + 6.77652e9i) q^{72} +(-2.27012e7 - 1.31065e7i) q^{73} +(1.84018e9 + 3.18728e9i) q^{74} +3.08493e9i q^{75} +(-9.42727e9 + 5.44284e9i) q^{76} +(4.11932e7 + 2.37829e7i) q^{77} +1.28018e10 q^{78} +(-2.39197e8 + 4.14302e8i) q^{79} +(1.08474e10 - 6.26272e9i) q^{80} +(-4.17853e9 - 7.23742e9i) q^{81} +1.05575e9i q^{82} +(-1.49568e9 - 2.59060e9i) q^{83} +1.83550e9 q^{84} +4.69752e9i q^{85} +(-7.89171e9 - 4.01894e9i) q^{86} -5.92603e8 q^{87} +2.88537e9i q^{88} +(4.41388e9 - 2.54836e9i) q^{89} -3.49668e10 q^{90} +(6.44024e8 - 3.71828e8i) q^{91} +(-1.04848e10 - 1.81601e10i) q^{92} +(1.69008e10 + 9.75770e9i) q^{93} -1.15297e10i q^{94} +(8.52281e9 - 1.47619e10i) q^{95} +(1.96164e10 + 3.39767e10i) q^{96} -9.11021e8 q^{97} +(-1.46085e10 + 8.43421e9i) q^{98} +(2.15511e9 - 3.73276e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 60.2423i 1.88257i −0.337612 0.941286i \(-0.609619\pi\)
0.337612 0.941286i \(-0.390381\pi\)
\(3\) −388.590 + 224.353i −1.59914 + 0.923263i −0.607484 + 0.794332i \(0.707821\pi\)
−0.991654 + 0.128931i \(0.958846\pi\)
\(4\) −2605.13 −2.54407
\(5\) 3532.79 2039.66i 1.13049 0.652690i 0.186434 0.982468i \(-0.440307\pi\)
0.944059 + 0.329777i \(0.106974\pi\)
\(6\) 13515.5 + 23409.6i 1.73811 + 3.01049i
\(7\) 1359.86 + 785.115i 0.0809103 + 0.0467136i 0.539909 0.841723i \(-0.318459\pi\)
−0.458999 + 0.888437i \(0.651792\pi\)
\(8\) 95251.0i 2.90683i
\(9\) 71143.8 123225.i 1.20483 2.08682i
\(10\) −122874. 212823.i −1.22874 2.12823i
\(11\) 30292.3 0.188091 0.0940456 0.995568i \(-0.470020\pi\)
0.0940456 + 0.995568i \(0.470020\pi\)
\(12\) 1.01233e6 584469.i 4.06832 2.34885i
\(13\) 236798. 410146.i 0.637766 1.10464i −0.348156 0.937437i \(-0.613192\pi\)
0.985922 0.167206i \(-0.0534746\pi\)
\(14\) 47297.1 81921.0i 0.0879417 0.152319i
\(15\) −915205. + 1.58518e6i −1.20521 + 2.08748i
\(16\) 3.07048e6 2.92824
\(17\) −575773. + 997268.i −0.405515 + 0.702372i −0.994381 0.105858i \(-0.966241\pi\)
0.588866 + 0.808230i \(0.299574\pi\)
\(18\) −7.42334e6 4.28587e6i −3.92859 2.26817i
\(19\) 3.61873e6 2.08927e6i 1.46146 0.843777i 0.462385 0.886679i \(-0.346994\pi\)
0.999079 + 0.0429025i \(0.0136605\pi\)
\(20\) −9.20338e6 + 5.31357e6i −2.87606 + 1.66049i
\(21\) −704571. −0.172516
\(22\) 1.82488e6i 0.354095i
\(23\) 4.02466e6 + 6.97091e6i 0.625302 + 1.08305i 0.988482 + 0.151335i \(0.0483574\pi\)
−0.363181 + 0.931719i \(0.618309\pi\)
\(24\) −2.13698e7 3.70136e7i −2.68377 4.64842i
\(25\) 3.43759e6 5.95407e6i 0.352009 0.609697i
\(26\) −2.47081e7 1.42653e7i −2.07957 1.20064i
\(27\) 3.73497e7i 2.60296i
\(28\) −3.54261e6 2.04533e6i −0.205842 0.118843i
\(29\) 1.14375e6 + 660347.i 0.0557626 + 0.0321945i 0.527622 0.849479i \(-0.323084\pi\)
−0.471860 + 0.881674i \(0.656417\pi\)
\(30\) 9.54950e7 + 5.51341e7i 3.92983 + 2.26889i
\(31\) −2.17463e7 3.76657e7i −0.759587 1.31564i −0.943062 0.332618i \(-0.892068\pi\)
0.183475 0.983024i \(-0.441265\pi\)
\(32\) 8.74357e7i 2.60579i
\(33\) −1.17713e7 + 6.79616e6i −0.300784 + 0.173658i
\(34\) 6.00777e7 + 3.46859e7i 1.32227 + 0.763410i
\(35\) 6.40546e6 0.121958
\(36\) −1.85339e8 + 3.21017e8i −3.06517 + 5.30903i
\(37\) −5.29076e7 + 3.05462e7i −0.762974 + 0.440503i −0.830363 0.557223i \(-0.811867\pi\)
0.0673884 + 0.997727i \(0.478533\pi\)
\(38\) −1.25863e8 2.18001e8i −1.58847 2.75131i
\(39\) 2.12505e8i 2.35530i
\(40\) 1.94279e8 + 3.36502e8i 1.89726 + 3.28615i
\(41\) −1.75251e7 −0.151266 −0.0756329 0.997136i \(-0.524098\pi\)
−0.0756329 + 0.997136i \(0.524098\pi\)
\(42\) 4.24450e7i 0.324773i
\(43\) 6.67129e7 1.31000e8i 0.453803 0.891102i
\(44\) −7.89154e7 −0.478518
\(45\) 5.80436e8i 3.14552i
\(46\) 4.19943e8 2.42454e8i 2.03893 1.17717i
\(47\) 1.91389e8 0.834501 0.417251 0.908792i \(-0.362994\pi\)
0.417251 + 0.908792i \(0.362994\pi\)
\(48\) −1.19316e9 + 6.88871e8i −4.68265 + 2.70353i
\(49\) −1.40005e8 2.42495e8i −0.495636 0.858466i
\(50\) −3.58687e8 2.07088e8i −1.14780 0.662682i
\(51\) 5.16705e8i 1.49759i
\(52\) −6.16890e8 + 1.06848e9i −1.62252 + 2.81029i
\(53\) −2.38801e8 4.13616e8i −0.571027 0.989049i −0.996461 0.0840589i \(-0.973212\pi\)
0.425433 0.904990i \(-0.360122\pi\)
\(54\) 2.25003e9 4.90026
\(55\) 1.07016e8 6.17858e7i 0.212636 0.122765i
\(56\) −7.47830e7 + 1.29528e8i −0.135788 + 0.235192i
\(57\) −9.37469e8 + 1.62374e9i −1.55805 + 2.69863i
\(58\) 3.97808e7 6.89024e7i 0.0606085 0.104977i
\(59\) −3.62652e8 −0.507260 −0.253630 0.967301i \(-0.581624\pi\)
−0.253630 + 0.967301i \(0.581624\pi\)
\(60\) 2.38423e9 4.12961e9i 3.06614 5.31071i
\(61\) −1.37312e9 7.92772e8i −1.62577 0.938640i −0.985335 0.170630i \(-0.945420\pi\)
−0.640437 0.768010i \(-0.721247\pi\)
\(62\) −2.26907e9 + 1.31005e9i −2.47679 + 1.42998i
\(63\) 1.93491e8 1.11712e8i 0.194966 0.112564i
\(64\) −2.12315e9 −1.97734
\(65\) 1.93195e9i 1.66505i
\(66\) 4.09416e8 + 7.09129e8i 0.326923 + 0.566247i
\(67\) 3.62091e8 + 6.27160e8i 0.268191 + 0.464520i 0.968395 0.249423i \(-0.0802410\pi\)
−0.700204 + 0.713943i \(0.746908\pi\)
\(68\) 1.49996e9 2.59801e9i 1.03166 1.78689i
\(69\) −3.12789e9 1.80589e9i −1.99989 1.15464i
\(70\) 3.85880e8i 0.229595i
\(71\) 1.92746e9 + 1.11282e9i 1.06830 + 0.616784i 0.927717 0.373284i \(-0.121768\pi\)
0.140585 + 0.990069i \(0.455102\pi\)
\(72\) 1.17373e10 + 6.77652e9i 6.06603 + 3.50223i
\(73\) −2.27012e7 1.31065e7i −0.0109505 0.00632227i 0.494515 0.869169i \(-0.335346\pi\)
−0.505465 + 0.862847i \(0.668679\pi\)
\(74\) 1.84018e9 + 3.18728e9i 0.829279 + 1.43635i
\(75\) 3.08493e9i 1.29999i
\(76\) −9.42727e9 + 5.44284e9i −3.71807 + 2.14663i
\(77\) 4.11932e7 + 2.37829e7i 0.0152185 + 0.00878642i
\(78\) 1.28018e10 4.43402
\(79\) −2.39197e8 + 4.14302e8i −0.0777358 + 0.134642i −0.902273 0.431166i \(-0.858102\pi\)
0.824537 + 0.565808i \(0.191436\pi\)
\(80\) 1.08474e10 6.26272e9i 3.31035 1.91123i
\(81\) −4.17853e9 7.23742e9i −1.19839 2.07567i
\(82\) 1.05575e9i 0.284769i
\(83\) −1.49568e9 2.59060e9i −0.379707 0.657672i 0.611312 0.791389i \(-0.290642\pi\)
−0.991020 + 0.133717i \(0.957309\pi\)
\(84\) 1.83550e9 0.438893
\(85\) 4.69752e9i 1.05870i
\(86\) −7.89171e9 4.01894e9i −1.67756 0.854316i
\(87\) −5.92603e8 −0.118896
\(88\) 2.88537e9i 0.546749i
\(89\) 4.41388e9 2.54836e9i 0.790444 0.456363i −0.0496751 0.998765i \(-0.515819\pi\)
0.840119 + 0.542403i \(0.182485\pi\)
\(90\) −3.49668e10 −5.92166
\(91\) 6.44024e8 3.71828e8i 0.103204 0.0595847i
\(92\) −1.04848e10 1.81601e10i −1.59081 2.75537i
\(93\) 1.69008e10 + 9.75770e9i 2.42937 + 1.40260i
\(94\) 1.15297e10i 1.57101i
\(95\) 8.52281e9 1.47619e10i 1.10145 1.90777i
\(96\) 1.96164e10 + 3.39767e10i 2.40583 + 4.16701i
\(97\) −9.11021e8 −0.106089 −0.0530444 0.998592i \(-0.516892\pi\)
−0.0530444 + 0.998592i \(0.516892\pi\)
\(98\) −1.46085e10 + 8.43421e9i −1.61612 + 0.933069i
\(99\) 2.15511e9 3.73276e9i 0.226617 0.392513i
\(100\) −8.95537e9 + 1.55111e10i −0.895537 + 1.55111i
\(101\) 2.19445e9 3.80090e9i 0.208795 0.361643i −0.742540 0.669801i \(-0.766379\pi\)
0.951335 + 0.308158i \(0.0997126\pi\)
\(102\) −3.11275e10 −2.81931
\(103\) 1.20432e9 2.08595e9i 0.103886 0.179936i −0.809397 0.587262i \(-0.800206\pi\)
0.913282 + 0.407327i \(0.133539\pi\)
\(104\) 3.90668e10 + 2.25552e10i 3.21101 + 1.85388i
\(105\) −2.48910e9 + 1.43708e9i −0.195028 + 0.112599i
\(106\) −2.49171e10 + 1.43859e10i −1.86195 + 1.07500i
\(107\) −6.16847e9 −0.439803 −0.219902 0.975522i \(-0.570574\pi\)
−0.219902 + 0.975522i \(0.570574\pi\)
\(108\) 9.73008e10i 6.62213i
\(109\) 2.09174e8 + 3.62299e8i 0.0135949 + 0.0235470i 0.872743 0.488180i \(-0.162339\pi\)
−0.859148 + 0.511727i \(0.829006\pi\)
\(110\) −3.72212e9 6.44690e9i −0.231114 0.400302i
\(111\) 1.37063e10 2.37400e10i 0.813400 1.40885i
\(112\) 4.17542e9 + 2.41068e9i 0.236925 + 0.136789i
\(113\) 3.25581e9i 0.176712i −0.996089 0.0883561i \(-0.971839\pi\)
0.996089 0.0883561i \(-0.0281613\pi\)
\(114\) 9.78181e10 + 5.64753e10i 5.08036 + 2.93315i
\(115\) 2.84365e10 + 1.64178e10i 1.41380 + 0.816256i
\(116\) −2.97963e9 1.72029e9i −0.141864 0.0819053i
\(117\) −3.36934e10 5.83588e10i −1.53680 2.66181i
\(118\) 2.18470e10i 0.954952i
\(119\) −1.56594e9 + 9.04097e8i −0.0656207 + 0.0378861i
\(120\) −1.50990e11 8.71742e10i −6.06795 3.50334i
\(121\) −2.50198e10 −0.964622
\(122\) −4.77584e10 + 8.27200e10i −1.76706 + 3.06063i
\(123\) 6.81008e9 3.93180e9i 0.241895 0.139658i
\(124\) 5.66520e10 + 9.81242e10i 1.93244 + 3.34709i
\(125\) 1.17911e10i 0.386369i
\(126\) −6.72980e9 1.16564e10i −0.211909 0.367037i
\(127\) 4.32832e10 1.31009 0.655044 0.755591i \(-0.272650\pi\)
0.655044 + 0.755591i \(0.272650\pi\)
\(128\) 3.83695e10i 1.11670i
\(129\) 3.46612e9 + 6.58724e10i 0.0970277 + 1.84397i
\(130\) −1.16385e11 −3.13458
\(131\) 1.87237e10i 0.485328i 0.970110 + 0.242664i \(0.0780213\pi\)
−0.970110 + 0.242664i \(0.921979\pi\)
\(132\) 3.06658e10 1.77049e10i 0.765216 0.441798i
\(133\) 6.56129e9 0.157663
\(134\) 3.77815e10 2.18132e10i 0.874491 0.504888i
\(135\) 7.61805e10 + 1.31949e11i 1.69893 + 2.94263i
\(136\) −9.49908e10 5.48429e10i −2.04168 1.17876i
\(137\) 7.41840e10i 1.53712i −0.639778 0.768559i \(-0.720974\pi\)
0.639778 0.768559i \(-0.279026\pi\)
\(138\) −1.08791e11 + 1.88431e11i −2.17368 + 3.76493i
\(139\) −3.18128e10 5.51014e10i −0.613096 1.06191i −0.990715 0.135952i \(-0.956591\pi\)
0.377620 0.925961i \(-0.376743\pi\)
\(140\) −1.66871e10 −0.310270
\(141\) −7.43718e10 + 4.29386e10i −1.33448 + 0.770464i
\(142\) 6.70388e10 1.16115e11i 1.16114 2.01115i
\(143\) 7.17315e9 1.24243e10i 0.119958 0.207774i
\(144\) 2.18446e11 3.78359e11i 3.52802 6.11071i
\(145\) 5.38752e9 0.0840522
\(146\) −7.89567e8 + 1.36757e9i −0.0119021 + 0.0206151i
\(147\) 1.08809e11 + 6.28209e10i 1.58518 + 0.915204i
\(148\) 1.37831e11 7.95770e10i 1.94106 1.12067i
\(149\) −4.47948e10 + 2.58623e10i −0.609953 + 0.352157i −0.772947 0.634471i \(-0.781218\pi\)
0.162994 + 0.986627i \(0.447885\pi\)
\(150\) 1.85843e11 2.44732
\(151\) 3.80251e10i 0.484380i 0.970229 + 0.242190i \(0.0778657\pi\)
−0.970229 + 0.242190i \(0.922134\pi\)
\(152\) 1.99005e11 + 3.44688e11i 2.45271 + 4.24823i
\(153\) 8.19254e10 + 1.41899e11i 0.977151 + 1.69247i
\(154\) 1.43274e9 2.48157e9i 0.0165411 0.0286499i
\(155\) −1.53650e11 8.87101e10i −1.71741 0.991549i
\(156\) 5.53604e11i 5.99206i
\(157\) −2.85495e10 1.64831e10i −0.299296 0.172799i 0.342831 0.939397i \(-0.388614\pi\)
−0.642127 + 0.766599i \(0.721948\pi\)
\(158\) 2.49585e10 + 1.44098e10i 0.253474 + 0.146343i
\(159\) 1.85592e11 + 1.07151e11i 1.82630 + 1.05442i
\(160\) −1.78339e11 3.08892e11i −1.70077 2.94582i
\(161\) 1.26393e10i 0.116840i
\(162\) −4.35999e11 + 2.51724e11i −3.90760 + 2.25606i
\(163\) −1.16320e11 6.71577e10i −1.01092 0.583657i −0.0994615 0.995041i \(-0.531712\pi\)
−0.911462 + 0.411385i \(0.865045\pi\)
\(164\) 4.56552e10 0.384832
\(165\) −2.77237e10 + 4.80188e10i −0.226689 + 0.392637i
\(166\) −1.56063e11 + 9.01033e10i −1.23811 + 0.714826i
\(167\) 4.84558e10 + 8.39279e10i 0.373047 + 0.646136i 0.990033 0.140838i \(-0.0449797\pi\)
−0.616986 + 0.786974i \(0.711646\pi\)
\(168\) 6.71111e10i 0.501473i
\(169\) −4.32174e10 7.48547e10i −0.313491 0.542982i
\(170\) 2.82989e11 1.99308
\(171\) 5.94556e11i 4.06642i
\(172\) −1.73796e11 + 3.41271e11i −1.15451 + 2.26703i
\(173\) −1.75514e9 −0.0113261 −0.00566305 0.999984i \(-0.501803\pi\)
−0.00566305 + 0.999984i \(0.501803\pi\)
\(174\) 3.56997e10i 0.223830i
\(175\) 9.34927e9 5.39780e9i 0.0569623 0.0328872i
\(176\) 9.30118e10 0.550776
\(177\) 1.40923e11 8.13620e10i 0.811178 0.468334i
\(178\) −1.53519e11 2.65902e11i −0.859135 1.48807i
\(179\) −8.41733e10 4.85975e10i −0.458046 0.264453i 0.253176 0.967420i \(-0.418525\pi\)
−0.711222 + 0.702967i \(0.751858\pi\)
\(180\) 1.51211e12i 8.00242i
\(181\) 1.61214e11 2.79230e11i 0.829868 1.43737i −0.0682739 0.997667i \(-0.521749\pi\)
0.898142 0.439706i \(-0.144917\pi\)
\(182\) −2.23997e10 3.87975e10i −0.112172 0.194288i
\(183\) 7.11443e11 3.46645
\(184\) −6.63986e11 + 3.83352e11i −3.14825 + 1.81764i
\(185\) −1.24608e11 + 2.15827e11i −0.575024 + 0.995971i
\(186\) 5.87826e11 1.01814e12i 2.64049 4.57346i
\(187\) −1.74415e10 + 3.02095e10i −0.0762738 + 0.132110i
\(188\) −4.98593e11 −2.12303
\(189\) −2.93238e10 + 5.07903e10i −0.121594 + 0.210607i
\(190\) −8.89293e11 5.13433e11i −3.59151 2.07356i
\(191\) −2.80555e11 + 1.61979e11i −1.10370 + 0.637222i −0.937191 0.348817i \(-0.886583\pi\)
−0.166511 + 0.986040i \(0.553250\pi\)
\(192\) 8.25037e11 4.76336e11i 3.16204 1.82561i
\(193\) −2.29047e11 −0.855338 −0.427669 0.903935i \(-0.640665\pi\)
−0.427669 + 0.903935i \(0.640665\pi\)
\(194\) 5.48820e10i 0.199720i
\(195\) 4.33438e11 + 7.50736e11i 1.53728 + 2.66265i
\(196\) 3.64731e11 + 6.31733e11i 1.26093 + 2.18400i
\(197\) 1.40406e11 2.43190e11i 0.473211 0.819625i −0.526319 0.850287i \(-0.676428\pi\)
0.999530 + 0.0306620i \(0.00976156\pi\)
\(198\) −2.24870e11 1.29829e11i −0.738933 0.426623i
\(199\) 3.35914e11i 1.07637i 0.842826 + 0.538186i \(0.180890\pi\)
−0.842826 + 0.538186i \(0.819110\pi\)
\(200\) 5.67131e11 + 3.27433e11i 1.77229 + 1.02323i
\(201\) −2.81410e11 1.62472e11i −0.857747 0.495221i
\(202\) −2.28975e11 1.32199e11i −0.680819 0.393071i
\(203\) 1.03690e9 + 1.79596e9i 0.00300784 + 0.00520974i
\(204\) 1.34608e12i 3.80997i
\(205\) −6.19124e10 + 3.57452e10i −0.171005 + 0.0987297i
\(206\) −1.25662e11 7.25511e10i −0.338741 0.195572i
\(207\) 1.14532e12 3.01352
\(208\) 7.27084e11 1.25935e12i 1.86753 3.23466i
\(209\) 1.09620e11 6.32889e10i 0.274889 0.158707i
\(210\) 8.65732e10 + 1.49949e11i 0.211976 + 0.367153i
\(211\) 3.44761e11i 0.824339i −0.911107 0.412170i \(-0.864771\pi\)
0.911107 0.412170i \(-0.135229\pi\)
\(212\) 6.22108e11 + 1.07752e12i 1.45274 + 2.51621i
\(213\) −9.98657e11 −2.27781
\(214\) 3.71603e11i 0.827961i
\(215\) −3.15116e10 5.98865e11i −0.0685926 1.30358i
\(216\) −3.55759e12 −7.56637
\(217\) 6.82935e10i 0.141932i
\(218\) 2.18257e10 1.26011e10i 0.0443289 0.0255933i
\(219\) 1.17619e10 0.0233485
\(220\) −2.78791e11 + 1.60960e11i −0.540961 + 0.312324i
\(221\) 2.72684e11 + 4.72302e11i 0.517247 + 0.895898i
\(222\) −1.43015e12 8.25697e11i −2.65226 1.53128i
\(223\) 7.65932e11i 1.38888i 0.719548 + 0.694442i \(0.244349\pi\)
−0.719548 + 0.694442i \(0.755651\pi\)
\(224\) 6.86471e10 1.18900e11i 0.121726 0.210835i
\(225\) −4.89126e11 8.47192e11i −0.848220 1.46916i
\(226\) −1.96137e11 −0.332673
\(227\) 3.61206e10 2.08542e10i 0.0599274 0.0345991i −0.469737 0.882806i \(-0.655651\pi\)
0.529664 + 0.848207i \(0.322318\pi\)
\(228\) 2.44223e12 4.23007e12i 3.96381 6.86551i
\(229\) −9.29259e8 + 1.60952e9i −0.00147557 + 0.00255576i −0.866762 0.498722i \(-0.833803\pi\)
0.865287 + 0.501277i \(0.167136\pi\)
\(230\) 9.89047e11 1.71308e12i 1.53666 2.66157i
\(231\) −2.13431e10 −0.0324487
\(232\) −6.28987e10 + 1.08944e11i −0.0935840 + 0.162092i
\(233\) −4.40961e11 2.54589e11i −0.642126 0.370732i 0.143307 0.989678i \(-0.454226\pi\)
−0.785433 + 0.618947i \(0.787560\pi\)
\(234\) −3.51566e12 + 2.02977e12i −5.01104 + 2.89313i
\(235\) 6.76136e11 3.90367e11i 0.943397 0.544671i
\(236\) 9.44757e11 1.29051
\(237\) 2.14658e11i 0.287082i
\(238\) 5.44648e10 + 9.43359e10i 0.0713233 + 0.123536i
\(239\) −1.96067e11 3.39598e11i −0.251429 0.435488i 0.712491 0.701682i \(-0.247567\pi\)
−0.963919 + 0.266194i \(0.914234\pi\)
\(240\) −2.81012e12 + 4.86727e12i −3.52914 + 6.11265i
\(241\) −5.65007e11 3.26207e11i −0.694974 0.401244i 0.110499 0.993876i \(-0.464755\pi\)
−0.805473 + 0.592633i \(0.798089\pi\)
\(242\) 1.50725e12i 1.81597i
\(243\) 1.33749e12 + 7.72199e11i 1.57855 + 0.911377i
\(244\) 3.57716e12 + 2.06528e12i 4.13609 + 2.38797i
\(245\) −9.89215e11 5.71124e11i −1.12062 0.646993i
\(246\) −2.36861e11 4.10255e11i −0.262916 0.455384i
\(247\) 1.97894e12i 2.15253i
\(248\) 3.58770e12 2.07136e12i 3.82435 2.20799i
\(249\) 1.16242e12 + 6.71121e11i 1.21441 + 0.701139i
\(250\) 7.10320e11 0.727368
\(251\) −5.08652e11 + 8.81011e11i −0.510566 + 0.884326i 0.489359 + 0.872082i \(0.337231\pi\)
−0.999925 + 0.0122439i \(0.996103\pi\)
\(252\) −5.04070e11 + 2.91025e11i −0.496008 + 0.286370i
\(253\) 1.21916e11 + 2.11165e11i 0.117614 + 0.203713i
\(254\) 2.60748e12i 2.46633i
\(255\) −1.05390e12 1.82541e12i −0.977460 1.69301i
\(256\) 1.37354e11 0.124923
\(257\) 9.37355e11i 0.836062i −0.908433 0.418031i \(-0.862720\pi\)
0.908433 0.418031i \(-0.137280\pi\)
\(258\) 3.96830e12 2.08807e11i 3.47141 0.182661i
\(259\) −9.59293e10 −0.0823100
\(260\) 5.03298e12i 4.23602i
\(261\) 1.62742e11 9.39592e10i 0.134369 0.0775777i
\(262\) 1.12796e12 0.913665
\(263\) 1.09450e12 6.31911e11i 0.869836 0.502200i 0.00254244 0.999997i \(-0.499191\pi\)
0.867294 + 0.497797i \(0.165857\pi\)
\(264\) −6.47340e11 1.12123e12i −0.504793 0.874327i
\(265\) −1.68727e12 9.74145e11i −1.29108 0.745408i
\(266\) 3.95267e11i 0.296813i
\(267\) −1.14346e12 + 1.98053e12i −0.842685 + 1.45957i
\(268\) −9.43294e11 1.63383e12i −0.682297 1.18177i
\(269\) 1.05764e12 0.750891 0.375445 0.926845i \(-0.377490\pi\)
0.375445 + 0.926845i \(0.377490\pi\)
\(270\) 7.94888e12 4.58929e12i 5.53971 3.19835i
\(271\) −6.24089e11 + 1.08095e12i −0.426973 + 0.739539i −0.996602 0.0823630i \(-0.973753\pi\)
0.569630 + 0.821902i \(0.307087\pi\)
\(272\) −1.76790e12 + 3.06209e12i −1.18744 + 2.05671i
\(273\) −1.66841e11 + 2.88977e11i −0.110025 + 0.190568i
\(274\) −4.46901e12 −2.89374
\(275\) 1.04132e11 1.80362e11i 0.0662098 0.114679i
\(276\) 8.14855e12 + 4.70457e12i 5.08786 + 2.93748i
\(277\) 1.05816e12 6.10926e11i 0.648859 0.374619i −0.139160 0.990270i \(-0.544440\pi\)
0.788019 + 0.615651i \(0.211107\pi\)
\(278\) −3.31943e12 + 1.91648e12i −1.99913 + 1.15420i
\(279\) −6.18847e12 −3.66068
\(280\) 6.10127e11i 0.354511i
\(281\) 2.79909e11 + 4.84816e11i 0.159766 + 0.276723i 0.934784 0.355216i \(-0.115593\pi\)
−0.775018 + 0.631939i \(0.782259\pi\)
\(282\) 2.58672e12 + 4.48033e12i 1.45045 + 2.51226i
\(283\) 2.24916e11 3.89566e11i 0.123905 0.214610i −0.797399 0.603452i \(-0.793792\pi\)
0.921304 + 0.388842i \(0.127125\pi\)
\(284\) −5.02129e12 2.89904e12i −2.71784 1.56914i
\(285\) 7.64846e12i 4.06771i
\(286\) −7.48466e11 4.32127e11i −0.391149 0.225830i
\(287\) −2.38317e10 1.37592e10i −0.0122390 0.00706617i
\(288\) −1.07742e13 6.22051e12i −5.43781 3.13952i
\(289\) 3.44968e11 + 5.97502e11i 0.171115 + 0.296381i
\(290\) 3.24557e11i 0.158234i
\(291\) 3.54014e11 2.04390e11i 0.169651 0.0979479i
\(292\) 5.91395e10 + 3.41442e10i 0.0278589 + 0.0160843i
\(293\) 1.33163e12 0.616658 0.308329 0.951280i \(-0.400230\pi\)
0.308329 + 0.951280i \(0.400230\pi\)
\(294\) 3.78448e12 6.55491e12i 1.72294 2.98421i
\(295\) −1.28117e12 + 7.39686e11i −0.573453 + 0.331083i
\(296\) −2.90956e12 5.03950e12i −1.28047 2.21784i
\(297\) 1.13141e12i 0.489594i
\(298\) 1.55800e12 + 2.69854e12i 0.662960 + 1.14828i
\(299\) 3.81212e12 1.59518
\(300\) 8.03665e12i 3.30726i
\(301\) 1.93570e11 1.25764e11i 0.0783439 0.0509006i
\(302\) 2.29072e12 0.911879
\(303\) 1.96933e12i 0.771089i
\(304\) 1.11112e13 6.41508e12i 4.27951 2.47078i
\(305\) −6.46793e12 −2.45057
\(306\) 8.54832e12 4.93537e12i 3.18620 1.83956i
\(307\) −1.67110e12 2.89443e12i −0.612788 1.06138i −0.990768 0.135567i \(-0.956715\pi\)
0.377980 0.925814i \(-0.376619\pi\)
\(308\) −1.07314e11 6.19577e10i −0.0387170 0.0223533i
\(309\) 1.08077e12i 0.383656i
\(310\) −5.34410e12 + 9.25625e12i −1.86666 + 3.23315i
\(311\) −1.42628e12 2.47039e12i −0.490233 0.849108i 0.509704 0.860350i \(-0.329755\pi\)
−0.999937 + 0.0112420i \(0.996421\pi\)
\(312\) −2.02413e13 −6.84646
\(313\) −1.80465e12 + 1.04191e12i −0.600719 + 0.346825i −0.769324 0.638858i \(-0.779407\pi\)
0.168606 + 0.985684i \(0.446074\pi\)
\(314\) −9.92978e11 + 1.71989e12i −0.325305 + 0.563446i
\(315\) 4.55709e11 7.89312e11i 0.146938 0.254505i
\(316\) 6.23141e11 1.07931e12i 0.197766 0.342540i
\(317\) 3.13914e12 0.980651 0.490325 0.871539i \(-0.336878\pi\)
0.490325 + 0.871539i \(0.336878\pi\)
\(318\) 6.45504e12 1.11805e13i 1.98501 3.43815i
\(319\) 3.46469e10 + 2.00034e10i 0.0104884 + 0.00605551i
\(320\) −7.50066e12 + 4.33051e12i −2.23537 + 1.29059i
\(321\) 2.39701e12 1.38391e12i 0.703306 0.406054i
\(322\) 7.61419e11 0.219960
\(323\) 4.81179e12i 1.36866i
\(324\) 1.08856e13 + 1.88544e13i 3.04879 + 5.28067i
\(325\) −1.62803e12 2.81983e12i −0.448999 0.777688i
\(326\) −4.04573e12 + 7.00741e12i −1.09878 + 1.90314i
\(327\) −1.62566e11 9.38574e10i −0.0434801 0.0251032i
\(328\) 1.66928e12i 0.439704i
\(329\) 2.60262e11 + 1.50262e11i 0.0675197 + 0.0389825i
\(330\) 2.89276e12 + 1.67014e12i 0.739167 + 0.426758i
\(331\) 9.96585e10 + 5.75378e10i 0.0250827 + 0.0144815i 0.512489 0.858694i \(-0.328724\pi\)
−0.487406 + 0.873175i \(0.662057\pi\)
\(332\) 3.89645e12 + 6.74884e12i 0.966003 + 1.67317i
\(333\) 8.69271e12i 2.12292i
\(334\) 5.05601e12 2.91909e12i 1.21640 0.702287i
\(335\) 2.55838e12 + 1.47708e12i 0.606375 + 0.350091i
\(336\) −2.16337e12 −0.505167
\(337\) 2.05981e12 3.56769e12i 0.473889 0.820800i −0.525664 0.850692i \(-0.676183\pi\)
0.999553 + 0.0298921i \(0.00951638\pi\)
\(338\) −4.50942e12 + 2.60351e12i −1.02220 + 0.590169i
\(339\) 7.30450e11 + 1.26518e12i 0.163152 + 0.282587i
\(340\) 1.22377e13i 2.69342i
\(341\) −6.58745e11 1.14098e12i −0.142872 0.247461i
\(342\) −3.58174e13 −7.65533
\(343\) 8.83231e11i 0.186039i
\(344\) 1.24778e13 + 6.35447e12i 2.59028 + 1.31913i
\(345\) −1.47335e13 −3.01448
\(346\) 1.05733e11i 0.0213222i
\(347\) −1.09496e12 + 6.32178e11i −0.217647 + 0.125659i −0.604860 0.796332i \(-0.706771\pi\)
0.387213 + 0.921990i \(0.373438\pi\)
\(348\) 1.54381e12 0.302480
\(349\) 4.79135e12 2.76629e12i 0.925403 0.534282i 0.0400483 0.999198i \(-0.487249\pi\)
0.885355 + 0.464916i \(0.153915\pi\)
\(350\) −3.25176e11 5.63221e11i −0.0619125 0.107236i
\(351\) 1.53188e13 + 8.84433e12i 2.87534 + 1.66008i
\(352\) 2.64863e12i 0.490126i
\(353\) 1.28566e12 2.22683e12i 0.234559 0.406269i −0.724585 0.689185i \(-0.757969\pi\)
0.959145 + 0.282917i \(0.0913020\pi\)
\(354\) −4.90143e12 8.48953e12i −0.881671 1.52710i
\(355\) 9.07908e12 1.61028
\(356\) −1.14987e13 + 6.63881e12i −2.01095 + 1.16102i
\(357\) 4.05673e11 7.02647e11i 0.0699577 0.121170i
\(358\) −2.92762e12 + 5.07079e12i −0.497852 + 0.862304i
\(359\) −4.86338e12 + 8.42362e12i −0.815579 + 1.41262i 0.0933328 + 0.995635i \(0.470248\pi\)
−0.908912 + 0.416989i \(0.863085\pi\)
\(360\) 5.52871e13 9.14348
\(361\) 5.66461e12 9.81139e12i 0.923919 1.60027i
\(362\) −1.68215e13 9.71187e12i −2.70596 1.56228i
\(363\) 9.72246e12 5.61326e12i 1.54256 0.890599i
\(364\) −1.67777e12 + 9.68660e11i −0.262558 + 0.151588i
\(365\) −1.06931e11 −0.0165059
\(366\) 4.28589e13i 6.52583i
\(367\) 4.69319e12 + 8.12884e12i 0.704916 + 1.22095i 0.966722 + 0.255830i \(0.0823487\pi\)
−0.261806 + 0.965121i \(0.584318\pi\)
\(368\) 1.23576e13 + 2.14040e13i 1.83103 + 3.17144i
\(369\) −1.24680e12 + 2.15952e12i −0.182249 + 0.315665i
\(370\) 1.30019e13 + 7.50665e12i 1.87499 + 1.08252i
\(371\) 7.49946e11i 0.106699i
\(372\) −4.40289e13 2.54201e13i −6.18049 3.56831i
\(373\) 5.96426e12 + 3.44347e12i 0.826061 + 0.476927i 0.852502 0.522724i \(-0.175084\pi\)
−0.0264409 + 0.999650i \(0.508417\pi\)
\(374\) 1.81989e12 + 1.05071e12i 0.248707 + 0.143591i
\(375\) −2.64536e12 4.58189e12i −0.356720 0.617858i
\(376\) 1.82300e13i 2.42575i
\(377\) 5.41678e11 3.12738e11i 0.0711269 0.0410652i
\(378\) 3.05972e12 + 1.76653e12i 0.396482 + 0.228909i
\(379\) −4.69500e12 −0.600399 −0.300199 0.953876i \(-0.597053\pi\)
−0.300199 + 0.953876i \(0.597053\pi\)
\(380\) −2.22030e13 + 3.84568e13i −2.80217 + 4.85350i
\(381\) −1.68194e13 + 9.71070e12i −2.09501 + 1.20956i
\(382\) 9.75796e12 + 1.69013e13i 1.19962 + 2.07780i
\(383\) 1.56859e13i 1.90334i −0.307124 0.951669i \(-0.599367\pi\)
0.307124 0.951669i \(-0.400633\pi\)
\(384\) −8.60830e12 1.49100e13i −1.03101 1.78575i
\(385\) 1.94036e11 0.0229392
\(386\) 1.37983e13i 1.61023i
\(387\) −1.13962e13 1.75405e13i −1.31282 2.02063i
\(388\) 2.37333e12 0.269898
\(389\) 1.61927e13i 1.81790i −0.416901 0.908952i \(-0.636884\pi\)
0.416901 0.908952i \(-0.363116\pi\)
\(390\) 4.52260e13 2.61113e13i 5.01263 2.89404i
\(391\) −9.26915e12 −1.01428
\(392\) 2.30979e13 1.33356e13i 2.49541 1.44073i
\(393\) −4.20072e12 7.27586e12i −0.448085 0.776107i
\(394\) −1.46503e13 8.45838e12i −1.54300 0.890853i
\(395\) 1.95152e12i 0.202949i
\(396\) −5.61434e12 + 9.72433e12i −0.576531 + 0.998582i
\(397\) 8.55831e12 + 1.48234e13i 0.867831 + 1.50313i 0.864208 + 0.503134i \(0.167820\pi\)
0.00362301 + 0.999993i \(0.498847\pi\)
\(398\) 2.02362e13 2.02635
\(399\) −2.54965e12 + 1.47204e12i −0.252125 + 0.145565i
\(400\) 1.05550e13 1.82819e13i 1.03077 1.78534i
\(401\) 7.17326e11 1.24245e12i 0.0691823 0.119827i −0.829359 0.558716i \(-0.811294\pi\)
0.898542 + 0.438888i \(0.144628\pi\)
\(402\) −9.78769e12 + 1.69528e13i −0.932288 + 1.61477i
\(403\) −2.05979e13 −1.93775
\(404\) −5.71684e12 + 9.90185e12i −0.531189 + 0.920046i
\(405\) −2.95237e13 1.70455e13i −2.70954 1.56436i
\(406\) 1.08193e11 6.24650e10i 0.00980771 0.00566248i
\(407\) −1.60269e12 + 9.25315e11i −0.143509 + 0.0828548i
\(408\) 4.92167e13 4.35323
\(409\) 9.90694e12i 0.865611i 0.901487 + 0.432806i \(0.142476\pi\)
−0.901487 + 0.432806i \(0.857524\pi\)
\(410\) 2.15337e12 + 3.72975e12i 0.185866 + 0.321929i
\(411\) 1.66434e13 + 2.88272e13i 1.41916 + 2.45806i
\(412\) −3.13742e12 + 5.43416e12i −0.264293 + 0.457769i
\(413\) −4.93156e11 2.84724e11i −0.0410425 0.0236959i
\(414\) 6.89966e13i 5.67317i
\(415\) −1.05679e13 6.10135e12i −0.858512 0.495662i
\(416\) −3.58614e13 2.07046e13i −2.87846 1.66188i
\(417\) 2.47243e13 + 1.42746e13i 1.96085 + 1.13210i
\(418\) −3.81267e12 6.60373e12i −0.298777 0.517497i
\(419\) 1.22274e13i 0.946810i −0.880845 0.473405i \(-0.843025\pi\)
0.880845 0.473405i \(-0.156975\pi\)
\(420\) 6.48444e12 3.74379e12i 0.496165 0.286461i
\(421\) 4.76966e12 + 2.75377e12i 0.360643 + 0.208217i 0.669363 0.742936i \(-0.266567\pi\)
−0.308720 + 0.951153i \(0.599901\pi\)
\(422\) −2.07692e13 −1.55188
\(423\) 1.36161e13 2.35838e13i 1.00543 1.74146i
\(424\) 3.93973e13 2.27460e13i 2.87499 1.65988i
\(425\) 3.95854e12 + 6.85639e12i 0.285490 + 0.494483i
\(426\) 6.01614e13i 4.28815i
\(427\) −1.24484e12 2.15612e12i −0.0876945 0.151891i
\(428\) 1.60697e13 1.11889
\(429\) 6.43727e12i 0.443011i
\(430\) −3.60770e13 + 1.89833e12i −2.45408 + 0.129131i
\(431\) −2.12688e13 −1.43006 −0.715032 0.699091i \(-0.753588\pi\)
−0.715032 + 0.699091i \(0.753588\pi\)
\(432\) 1.14681e14i 7.62209i
\(433\) 1.18967e13 6.86858e12i 0.781606 0.451261i −0.0553930 0.998465i \(-0.517641\pi\)
0.836999 + 0.547204i \(0.184308\pi\)
\(434\) −4.11416e12 −0.267197
\(435\) −2.09354e12 + 1.20871e12i −0.134411 + 0.0776023i
\(436\) −5.44925e11 9.43838e11i −0.0345863 0.0599053i
\(437\) 2.91283e13 + 1.68172e13i 1.82771 + 1.05523i
\(438\) 7.08566e11i 0.0439551i
\(439\) 2.89580e12 5.01568e12i 0.177602 0.307615i −0.763457 0.645859i \(-0.776500\pi\)
0.941059 + 0.338244i \(0.109833\pi\)
\(440\) 5.88516e12 + 1.01934e13i 0.356858 + 0.618095i
\(441\) −3.98419e13 −2.38862
\(442\) 2.84526e13 1.64271e13i 1.68659 0.973754i
\(443\) −9.08204e12 + 1.57306e13i −0.532310 + 0.921988i 0.466978 + 0.884269i \(0.345343\pi\)
−0.999288 + 0.0377193i \(0.987991\pi\)
\(444\) −3.57066e13 + 6.18457e13i −2.06935 + 3.58422i
\(445\) 1.03955e13 1.80056e13i 0.595727 1.03183i
\(446\) 4.61415e13 2.61467
\(447\) 1.16046e13 2.00997e13i 0.650266 1.12629i
\(448\) −2.88719e12 1.66692e12i −0.159987 0.0923687i
\(449\) 1.39723e13 8.06691e12i 0.765661 0.442054i −0.0656638 0.997842i \(-0.520916\pi\)
0.831324 + 0.555787i \(0.187583\pi\)
\(450\) −5.10367e13 + 2.94661e13i −2.76580 + 1.59683i
\(451\) −5.30875e11 −0.0284518
\(452\) 8.48181e12i 0.449569i
\(453\) −8.53104e12 1.47762e13i −0.447210 0.774590i
\(454\) −1.25631e12 2.17599e12i −0.0651353 0.112818i
\(455\) 1.51680e12 2.62718e12i 0.0777807 0.134720i
\(456\) −1.54663e14 8.92949e13i −7.84446 4.52900i
\(457\) 4.25013e11i 0.0213217i −0.999943 0.0106608i \(-0.996606\pi\)
0.999943 0.0106608i \(-0.00339351\pi\)
\(458\) 9.69614e10 + 5.59807e10i 0.00481140 + 0.00277786i
\(459\) −3.72476e13 2.15049e13i −1.82825 1.05554i
\(460\) −7.40809e13 4.27706e13i −3.59681 2.07662i
\(461\) −1.02027e12 1.76716e12i −0.0490017 0.0848735i 0.840484 0.541836i \(-0.182271\pi\)
−0.889486 + 0.456963i \(0.848937\pi\)
\(462\) 1.28575e12i 0.0610869i
\(463\) −6.28043e12 + 3.62601e12i −0.295178 + 0.170421i −0.640275 0.768146i \(-0.721180\pi\)
0.345096 + 0.938567i \(0.387846\pi\)
\(464\) 3.51187e12 + 2.02758e12i 0.163286 + 0.0942732i
\(465\) 7.96094e13 3.66184
\(466\) −1.53370e13 + 2.65645e13i −0.697929 + 1.20885i
\(467\) 3.05401e13 1.76323e13i 1.37495 0.793825i 0.383400 0.923582i \(-0.374753\pi\)
0.991546 + 0.129757i \(0.0414198\pi\)
\(468\) 8.77759e13 + 1.52032e14i 3.90972 + 6.77184i
\(469\) 1.13713e12i 0.0501126i
\(470\) −2.35166e13 4.07320e13i −1.02538 1.77601i
\(471\) 1.47921e13 0.638154
\(472\) 3.45430e13i 1.47452i
\(473\) 2.02088e12 3.96827e12i 0.0853563 0.167608i
\(474\) −1.29315e13 −0.540452
\(475\) 2.87283e13i 1.18807i
\(476\) 4.07948e12 2.35529e12i 0.166944 0.0963851i
\(477\) −6.79569e13 −2.75196
\(478\) −2.04582e13 + 1.18115e13i −0.819837 + 0.473333i
\(479\) −1.18071e13 2.04505e13i −0.468236 0.811009i 0.531105 0.847306i \(-0.321777\pi\)
−0.999341 + 0.0362970i \(0.988444\pi\)
\(480\) 1.38602e14 + 8.00216e13i 5.43954 + 3.14052i
\(481\) 2.89332e13i 1.12375i
\(482\) −1.96515e13 + 3.40373e13i −0.755369 + 1.30834i
\(483\) −2.83566e12 4.91150e12i −0.107874 0.186844i
\(484\) 6.51799e13 2.45407
\(485\) −3.21845e12 + 1.85817e12i −0.119933 + 0.0692432i
\(486\) 4.65190e13 8.05733e13i 1.71573 2.97173i
\(487\) −2.25313e13 + 3.90253e13i −0.822509 + 1.42463i 0.0812988 + 0.996690i \(0.474093\pi\)
−0.903808 + 0.427938i \(0.859240\pi\)
\(488\) 7.55123e13 1.30791e14i 2.72847 4.72584i
\(489\) 6.02680e13 2.15547
\(490\) −3.44058e13 + 5.95926e13i −1.21801 + 2.10966i
\(491\) 4.00429e13 + 2.31188e13i 1.40320 + 0.810136i 0.994719 0.102633i \(-0.0327268\pi\)
0.408477 + 0.912769i \(0.366060\pi\)
\(492\) −1.77412e13 + 1.02429e13i −0.615399 + 0.355301i
\(493\) −1.31709e12 + 7.60420e11i −0.0452251 + 0.0261107i
\(494\) −1.19216e14 −4.05229
\(495\) 1.75827e13i 0.591644i
\(496\) −6.67716e13 1.15652e14i −2.22425 3.85251i
\(497\) 1.74738e12 + 3.02656e12i 0.0576244 + 0.0998084i
\(498\) 4.04298e13 7.00265e13i 1.31994 2.28621i
\(499\) 2.32647e13 + 1.34319e13i 0.751961 + 0.434145i 0.826402 0.563080i \(-0.190384\pi\)
−0.0744409 + 0.997225i \(0.523717\pi\)
\(500\) 3.07173e13i 0.982952i
\(501\) −3.76589e13 2.17424e13i −1.19311 0.688841i
\(502\) 5.30741e13 + 3.06423e13i 1.66481 + 0.961177i
\(503\) 1.82639e13 + 1.05447e13i 0.567224 + 0.327487i 0.756040 0.654526i \(-0.227132\pi\)
−0.188816 + 0.982012i \(0.560465\pi\)
\(504\) 1.06407e13 + 1.84302e13i 0.327203 + 0.566733i
\(505\) 1.79037e13i 0.545113i
\(506\) 1.27210e13 7.34449e12i 0.383504 0.221416i
\(507\) 3.35877e13 + 1.93919e13i 1.00263 + 0.578869i
\(508\) −1.12758e14 −3.33296
\(509\) 2.40407e13 4.16396e13i 0.703651 1.21876i −0.263525 0.964653i \(-0.584885\pi\)
0.967176 0.254107i \(-0.0817816\pi\)
\(510\) −1.09967e14 + 6.34894e13i −3.18721 + 1.84014i
\(511\) −2.05803e10 3.56461e10i −0.000590672 0.00102307i
\(512\) 3.10158e13i 0.881522i
\(513\) 7.80337e13 + 1.35158e14i 2.19632 + 3.80414i
\(514\) −5.64684e13 −1.57395
\(515\) 9.82561e12i 0.271221i
\(516\) −9.02971e12 1.71606e14i −0.246846 4.69121i
\(517\) 5.79760e12 0.156962
\(518\) 5.77900e12i 0.154954i
\(519\) 6.82029e11 3.93770e11i 0.0181120 0.0104570i
\(520\) 1.84020e14 4.84003
\(521\) −3.60200e13 + 2.07961e13i −0.938329 + 0.541744i −0.889436 0.457060i \(-0.848903\pi\)
−0.0488926 + 0.998804i \(0.515569\pi\)
\(522\) −5.66032e12 9.80396e12i −0.146046 0.252958i
\(523\) 2.33052e13 + 1.34553e13i 0.595586 + 0.343862i 0.767303 0.641284i \(-0.221598\pi\)
−0.171717 + 0.985146i \(0.554931\pi\)
\(524\) 4.87777e13i 1.23471i
\(525\) −2.42203e12 + 4.19507e12i −0.0607270 + 0.105182i
\(526\) −3.80677e13 6.59352e13i −0.945428 1.63753i
\(527\) 5.00838e13 1.23209
\(528\) −3.61435e13 + 2.08675e13i −0.880766 + 0.508511i
\(529\) −1.16824e13 + 2.02346e13i −0.282004 + 0.488445i
\(530\) −5.86847e13 + 1.01645e14i −1.40328 + 2.43056i
\(531\) −2.58005e13 + 4.46877e13i −0.611160 + 1.05856i
\(532\) −1.70930e13 −0.401107
\(533\) −4.14991e12 + 7.18785e12i −0.0964722 + 0.167095i
\(534\) 1.19312e14 + 6.88847e13i 2.74775 + 1.58641i
\(535\) −2.17919e13 + 1.25816e13i −0.497194 + 0.287055i
\(536\) −5.97376e13 + 3.44895e13i −1.35028 + 0.779584i
\(537\) 4.36119e13 0.976638
\(538\) 6.37147e13i 1.41361i
\(539\) −4.24106e12 7.34574e12i −0.0932247 0.161470i
\(540\) −1.98460e14 3.43743e14i −4.32220 7.48627i
\(541\) −1.90929e13 + 3.30699e13i −0.411989 + 0.713586i −0.995107 0.0988012i \(-0.968499\pi\)
0.583118 + 0.812388i \(0.301833\pi\)
\(542\) 6.51191e13 + 3.75965e13i 1.39223 + 0.803807i
\(543\) 1.44675e14i 3.06474i
\(544\) 8.71968e13 + 5.03431e13i 1.83023 + 1.05669i
\(545\) 1.47793e12 + 8.53285e11i 0.0307378 + 0.0177465i
\(546\) 1.74086e13 + 1.00509e13i 0.358758 + 0.207129i
\(547\) −6.81836e12 1.18098e13i −0.139233 0.241159i 0.787973 0.615709i \(-0.211131\pi\)
−0.927207 + 0.374550i \(0.877797\pi\)
\(548\) 1.93259e14i 3.91054i
\(549\) −1.95378e14 + 1.12802e14i −3.91755 + 2.26180i
\(550\) −1.08654e13 6.27317e12i −0.215891 0.124645i
\(551\) 5.51858e12 0.108660
\(552\) 1.72012e14 2.97934e14i 3.35633 5.81333i
\(553\) −6.50550e11 + 3.75595e11i −0.0125793 + 0.00726263i
\(554\) −3.68036e13 6.37457e13i −0.705247 1.22152i
\(555\) 1.11824e14i 2.12359i
\(556\) 8.28766e13 + 1.43546e14i 1.55976 + 2.70158i
\(557\) 1.07257e13 0.200055 0.100028 0.994985i \(-0.468107\pi\)
0.100028 + 0.994985i \(0.468107\pi\)
\(558\) 3.72807e14i 6.89150i
\(559\) −3.79315e13 5.83825e13i −0.694930 1.06960i
\(560\) 1.96678e13 0.357122
\(561\) 1.56522e13i 0.281683i
\(562\) 2.92064e13 1.68623e13i 0.520951 0.300771i
\(563\) 7.88235e13 1.39352 0.696761 0.717303i \(-0.254624\pi\)
0.696761 + 0.717303i \(0.254624\pi\)
\(564\) 1.93748e14 1.11861e14i 3.39502 1.96012i
\(565\) −6.64073e12 1.15021e13i −0.115338 0.199772i
\(566\) −2.34684e13 1.35495e13i −0.404018 0.233260i
\(567\) 1.31225e13i 0.223925i
\(568\) −1.05997e14 + 1.83593e14i −1.79289 + 3.10537i
\(569\) −6.74206e12 1.16776e13i −0.113040 0.195791i 0.803955 0.594691i \(-0.202725\pi\)
−0.916994 + 0.398900i \(0.869392\pi\)
\(570\) 4.60761e14 7.65775
\(571\) 4.31331e13 2.49029e13i 0.710609 0.410270i −0.100678 0.994919i \(-0.532101\pi\)
0.811286 + 0.584649i \(0.198768\pi\)
\(572\) −1.86870e13 + 3.23668e13i −0.305182 + 0.528591i
\(573\) 7.26807e13 1.25887e14i 1.17665 2.03801i
\(574\) −8.28887e11 + 1.43567e12i −0.0133026 + 0.0230407i
\(575\) 5.53404e13 0.880447
\(576\) −1.51049e14 + 2.61625e14i −2.38235 + 4.12636i
\(577\) −7.44176e13 4.29650e13i −1.16358 0.671794i −0.211421 0.977395i \(-0.567809\pi\)
−0.952159 + 0.305602i \(0.901142\pi\)
\(578\) 3.59949e13 2.07816e13i 0.557958 0.322137i
\(579\) 8.90054e13 5.13873e13i 1.36780 0.789701i
\(580\) −1.40352e13 −0.213835
\(581\) 4.69713e12i 0.0709499i
\(582\) −1.23129e13 2.13266e13i −0.184394 0.319379i
\(583\) −7.23383e12 1.25294e13i −0.107405 0.186031i
\(584\) 1.24841e12 2.16231e12i 0.0183778 0.0318312i
\(585\) −2.38064e14 1.37446e14i −3.47467 2.00610i
\(586\) 8.02202e13i 1.16090i
\(587\) 6.16619e13 + 3.56005e13i 0.884761 + 0.510817i 0.872225 0.489104i \(-0.162676\pi\)
0.0125361 + 0.999921i \(0.496010\pi\)
\(588\) −2.83462e14 1.63657e14i −4.03281 2.32835i
\(589\) −1.57388e14 9.08681e13i −2.22022 1.28184i
\(590\) 4.45604e13 + 7.71808e13i 0.623288 + 1.07957i
\(591\) 1.26002e14i 1.74759i
\(592\) −1.62452e14 + 9.37916e13i −2.23417 + 1.28990i
\(593\) 7.39981e13 + 4.27228e13i 1.00913 + 0.582622i 0.910937 0.412546i \(-0.135360\pi\)
0.0981933 + 0.995167i \(0.468694\pi\)
\(594\) 6.81585e13 0.921696
\(595\) −3.68809e12 + 6.38797e12i −0.0494558 + 0.0856599i
\(596\) 1.16696e14 6.73747e13i 1.55177 0.895912i
\(597\) −7.53632e13 1.30533e14i −0.993774 1.72127i
\(598\) 2.29651e14i 3.00305i
\(599\) −3.33252e13 5.77210e13i −0.432154 0.748513i 0.564904 0.825156i \(-0.308913\pi\)
−0.997059 + 0.0766433i \(0.975580\pi\)
\(600\) −2.93842e14 −3.77884
\(601\) 8.50722e13i 1.08496i −0.840067 0.542482i \(-0.817485\pi\)
0.840067 0.542482i \(-0.182515\pi\)
\(602\) −7.57629e12 1.16611e13i −0.0958240 0.147488i
\(603\) 1.03042e14 1.29249
\(604\) 9.90605e13i 1.23230i
\(605\) −8.83897e13 + 5.10318e13i −1.09050 + 0.629599i
\(606\) 1.18637e14 1.45163
\(607\) −3.19524e13 + 1.84477e13i −0.387757 + 0.223872i −0.681188 0.732109i \(-0.738536\pi\)
0.293431 + 0.955980i \(0.405203\pi\)
\(608\) −1.82677e14 3.16406e14i −2.19870 3.80826i
\(609\) −8.05857e11 4.65261e11i −0.00961992 0.00555406i
\(610\) 3.89643e14i 4.61336i
\(611\) 4.53205e13 7.84973e13i 0.532216 0.921826i
\(612\) −2.13426e14 3.69666e14i −2.48594 4.30578i
\(613\) −2.08670e13 −0.241078 −0.120539 0.992709i \(-0.538462\pi\)
−0.120539 + 0.992709i \(0.538462\pi\)
\(614\) −1.74367e14 + 1.00671e14i −1.99812 + 1.15362i
\(615\) 1.60391e13 2.77805e13i 0.182307 0.315765i
\(616\) −2.26535e12 + 3.92370e12i −0.0255406 + 0.0442376i
\(617\) −8.79645e13 + 1.52359e14i −0.983743 + 1.70389i −0.336348 + 0.941738i \(0.609192\pi\)
−0.647394 + 0.762155i \(0.724141\pi\)
\(618\) 6.51081e13 0.722259
\(619\) −4.58861e13 + 7.94770e13i −0.504926 + 0.874558i 0.495058 + 0.868860i \(0.335147\pi\)
−0.999984 + 0.00569744i \(0.998186\pi\)
\(620\) 4.00279e14 + 2.31101e14i 4.36923 + 2.52258i
\(621\) −2.60361e14 + 1.50320e14i −2.81915 + 1.62764i
\(622\) −1.48822e14 + 8.59222e13i −1.59851 + 0.922898i
\(623\) 8.00302e12 0.0852734
\(624\) 6.52493e14i 6.89688i
\(625\) 5.76199e13 + 9.98006e13i 0.604188 + 1.04648i
\(626\) 6.27673e13 + 1.08716e14i 0.652923 + 1.13090i
\(627\) −2.83981e13 + 4.91869e13i −0.293056 + 0.507589i
\(628\) 7.43753e13 + 4.29406e13i 0.761431 + 0.439612i
\(629\) 7.03508e13i 0.714523i
\(630\) −4.75499e13 2.74530e13i −0.479123 0.276622i
\(631\) −9.37903e13 5.41499e13i −0.937586 0.541316i −0.0483834 0.998829i \(-0.515407\pi\)
−0.889203 + 0.457513i \(0.848740\pi\)
\(632\) −3.94627e13 2.27838e13i −0.391382 0.225965i
\(633\) 7.73481e13 + 1.33971e14i 0.761082 + 1.31823i
\(634\) 1.89109e14i 1.84614i
\(635\) 1.52910e14 8.82828e13i 1.48104 0.855082i
\(636\) −4.83491e14 2.79143e14i −4.64625 2.68251i
\(637\) −1.32611e14 −1.26440
\(638\) 1.20505e12 2.08721e12i 0.0113999 0.0197452i
\(639\) 2.74254e14 1.58341e14i 2.57424 1.48624i
\(640\) 7.82606e13 + 1.35551e14i 0.728858 + 1.26242i
\(641\) 8.82497e12i 0.0815498i −0.999168 0.0407749i \(-0.987017\pi\)
0.999168 0.0407749i \(-0.0129827\pi\)
\(642\) −8.33701e13 1.44401e14i −0.764425 1.32402i
\(643\) 6.10473e13 0.555407 0.277704 0.960667i \(-0.410427\pi\)
0.277704 + 0.960667i \(0.410427\pi\)
\(644\) 3.29270e13i 0.297250i
\(645\) 1.46602e14 + 2.25644e14i 1.31323 + 2.02127i
\(646\) 2.89873e14 2.57659
\(647\) 1.55156e14i 1.36850i −0.729245 0.684252i \(-0.760129\pi\)
0.729245 0.684252i \(-0.239871\pi\)
\(648\) 6.89372e14 3.98009e14i 6.03363 3.48352i
\(649\) −1.09856e13 −0.0954110
\(650\) −1.69873e14 + 9.80761e13i −1.46405 + 0.845272i
\(651\) 1.53218e13 + 2.65382e13i 0.131041 + 0.226969i
\(652\) 3.03030e14 + 1.74955e14i 2.57186 + 1.48487i
\(653\) 2.46039e13i 0.207223i 0.994618 + 0.103611i \(0.0330398\pi\)
−0.994618 + 0.103611i \(0.966960\pi\)
\(654\) −5.65418e12 + 9.79333e12i −0.0472586 + 0.0818544i
\(655\) 3.81900e13 + 6.61469e13i 0.316769 + 0.548660i
\(656\) −5.38104e13 −0.442942
\(657\) −3.23010e12 + 1.86490e12i −0.0263869 + 0.0152345i
\(658\) 9.05214e12 1.56788e13i 0.0733874 0.127111i
\(659\) −1.16436e14 + 2.01674e14i −0.936831 + 1.62264i −0.165494 + 0.986211i \(0.552922\pi\)
−0.771336 + 0.636428i \(0.780411\pi\)
\(660\) 7.22238e13 1.25095e14i 0.576714 0.998898i
\(661\) −1.48645e14 −1.17800 −0.588998 0.808134i \(-0.700477\pi\)
−0.588998 + 0.808134i \(0.700477\pi\)
\(662\) 3.46621e12 6.00365e12i 0.0272625 0.0472200i
\(663\) −2.11925e14 1.22355e14i −1.65430 0.955110i
\(664\) 2.46757e14 1.42465e14i 1.91174 1.10374i
\(665\) 2.31796e13 1.33828e13i 0.178237 0.102905i
\(666\) 5.23669e14 3.99655
\(667\) 1.06307e13i 0.0805252i
\(668\) −1.26234e14 2.18643e14i −0.949059 1.64382i
\(669\) −1.71839e14 2.97634e14i −1.28230 2.22102i
\(670\) 8.89828e13 1.54123e14i 0.659071 1.14154i
\(671\) −4.15950e13 2.40149e13i −0.305793 0.176550i
\(672\) 6.16047e13i 0.449539i
\(673\) 1.55181e14 + 8.95939e13i 1.12399 + 0.648938i 0.942417 0.334439i \(-0.108547\pi\)
0.181576 + 0.983377i \(0.441880\pi\)
\(674\) −2.14926e14 1.24087e14i −1.54521 0.892130i
\(675\) 2.22383e14 + 1.28393e14i 1.58702 + 0.916266i
\(676\) 1.12587e14 + 1.95006e14i 0.797544 + 1.38139i
\(677\) 6.89145e13i 0.484582i 0.970204 + 0.242291i \(0.0778988\pi\)
−0.970204 + 0.242291i \(0.922101\pi\)
\(678\) 7.62171e13 4.40039e13i 0.531990 0.307145i
\(679\) −1.23886e12 7.15257e11i −0.00858368 0.00495579i
\(680\) −4.47443e14 −3.07747
\(681\) −9.35741e12 + 1.62075e13i −0.0638881 + 0.110657i
\(682\) −6.87353e13 + 3.96843e13i −0.465863 + 0.268966i
\(683\) 5.07343e13 + 8.78744e13i 0.341349 + 0.591233i 0.984683 0.174352i \(-0.0557830\pi\)
−0.643335 + 0.765585i \(0.722450\pi\)
\(684\) 1.54890e15i 10.3453i
\(685\) −1.51310e14 2.62076e14i −1.00326 1.73770i
\(686\) −5.32078e13 −0.350231
\(687\) 8.33928e11i 0.00544935i
\(688\) 2.04841e14 4.02231e14i 1.32884 2.60936i
\(689\) −2.26191e14 −1.45673
\(690\) 8.87582e14i 5.67496i
\(691\) 7.81330e13 4.51101e13i 0.495957 0.286341i −0.231085 0.972934i \(-0.574228\pi\)
0.727043 + 0.686592i \(0.240894\pi\)
\(692\) 4.57236e12 0.0288144
\(693\) 5.86129e12 3.38402e12i 0.0366714 0.0211722i
\(694\) 3.80838e13 + 6.59631e13i 0.236561 + 0.409736i
\(695\) −2.24776e14 1.29774e14i −1.38620 0.800323i
\(696\) 5.64460e13i 0.345610i
\(697\) 1.00905e13 1.74772e13i 0.0613406 0.106245i
\(698\) −1.66648e14 2.88642e14i −1.00582 1.74214i
\(699\) 2.28471e14 1.36913
\(700\) −2.43561e13 + 1.40620e13i −0.144916 + 0.0836675i
\(701\) 1.17771e14 2.03985e14i 0.695740 1.20506i −0.274190 0.961675i \(-0.588410\pi\)
0.969931 0.243382i \(-0.0782569\pi\)
\(702\) 5.32802e14 9.22841e14i 3.12522 5.41304i
\(703\) −1.27639e14 + 2.21077e14i −0.743373 + 1.28756i
\(704\) −6.43152e13 −0.371920
\(705\) −1.75160e14 + 3.03386e14i −1.00575 + 1.74201i
\(706\) −1.34149e14 7.74511e13i −0.764830 0.441575i
\(707\) 5.96830e12 3.44580e12i 0.0337873 0.0195071i
\(708\) −3.67123e14 + 2.11959e14i −2.06370 + 1.19148i
\(709\) −2.34255e14 −1.30755 −0.653775 0.756689i \(-0.726816\pi\)
−0.653775 + 0.756689i \(0.726816\pi\)
\(710\) 5.46945e14i 3.03146i
\(711\) 3.40348e13 + 5.89501e13i 0.187316 + 0.324441i
\(712\) 2.42733e14 + 4.20427e14i 1.32657 + 2.29768i
\(713\) 1.75043e14 3.03183e14i 0.949941 1.64535i
\(714\) −4.23290e13 2.44387e13i −0.228112 0.131700i
\(715\) 5.85231e13i 0.313182i
\(716\) 2.19282e14 + 1.26603e14i 1.16530 + 0.672788i
\(717\) 1.52380e14 + 8.79764e13i 0.804139 + 0.464270i
\(718\) 5.07458e14 + 2.92981e14i 2.65936 + 1.53538i
\(719\) −8.05362e13 1.39493e14i −0.419128 0.725951i 0.576724 0.816939i \(-0.304331\pi\)
−0.995852 + 0.0909882i \(0.970997\pi\)
\(720\) 1.78222e15i 9.21082i
\(721\) 3.27542e12 1.89106e12i 0.0168109 0.00970576i
\(722\) −5.91060e14 3.41249e14i −3.01263 1.73934i
\(723\) 2.92742e14 1.48181
\(724\) −4.19983e14 + 7.27431e14i −2.11124 + 3.65678i
\(725\) 7.86351e12 4.54000e12i 0.0392578 0.0226655i
\(726\) −3.38156e14 5.85703e14i −1.67662 2.90398i
\(727\) 3.33677e14i 1.64306i −0.570163 0.821532i \(-0.693120\pi\)
0.570163 0.821532i \(-0.306880\pi\)
\(728\) 3.54169e13 + 6.13439e13i 0.173202 + 0.299995i
\(729\) −1.99504e14 −0.968979
\(730\) 6.44178e12i 0.0310736i
\(731\) 9.22302e13 + 1.41957e14i 0.441862 + 0.680094i
\(732\) −1.85340e15 −8.81889
\(733\) 1.78278e14i 0.842516i 0.906941 + 0.421258i \(0.138411\pi\)
−0.906941 + 0.421258i \(0.861589\pi\)
\(734\) 4.89700e14 2.82728e14i 2.29853 1.32705i
\(735\) 5.12533e14 2.38938
\(736\) 6.09506e14 3.51899e14i 2.82221 1.62940i
\(737\) 1.09686e13 + 1.89981e13i 0.0504443 + 0.0873721i
\(738\) 1.30095e14 + 7.51102e13i 0.594262 + 0.343097i
\(739\) 4.39415e14i 1.99367i −0.0795066 0.996834i \(-0.525334\pi\)
0.0795066 0.996834i \(-0.474666\pi\)
\(740\) 3.24619e14 5.62257e14i 1.46290 2.53382i
\(741\) 4.43982e14 + 7.68999e14i 1.98735 + 3.44219i
\(742\) −4.51784e13 −0.200868
\(743\) −4.08793e13 + 2.36017e13i −0.180534 + 0.104231i −0.587544 0.809192i \(-0.699905\pi\)
0.407009 + 0.913424i \(0.366572\pi\)
\(744\) −9.29430e14 + 1.60982e15i −4.07711 + 7.06175i
\(745\) −1.05500e14 + 1.82732e14i −0.459698 + 0.796221i
\(746\) 2.07442e14 3.59300e14i 0.897848 1.55512i
\(747\) −4.25634e14 −1.82993
\(748\) 4.54373e13 7.86998e13i 0.194046 0.336098i
\(749\) −8.38825e12 4.84296e12i −0.0355846 0.0205448i
\(750\) −2.76024e14 + 1.59362e14i −1.16316 + 0.671551i
\(751\) 2.51521e14 1.45216e14i 1.05287 0.607875i 0.129418 0.991590i \(-0.458689\pi\)
0.923451 + 0.383716i \(0.125356\pi\)
\(752\) 5.87655e14 2.44362
\(753\) 4.56470e14i 1.88555i
\(754\) −1.88400e13 3.26319e13i −0.0773081 0.133902i
\(755\) 7.75582e13 + 1.34335e14i 0.316150 + 0.547588i
\(756\) 7.63924e13 1.32315e14i 0.309343 0.535799i
\(757\) 3.24789e14 + 1.87517e14i 1.30654 + 0.754330i 0.981517 0.191377i \(-0.0612953\pi\)
0.325021 + 0.945707i \(0.394629\pi\)
\(758\) 2.82838e14i 1.13029i
\(759\) −9.47508e13 5.47044e13i −0.376161 0.217177i
\(760\) 1.40609e15 + 8.11806e14i 5.54555 + 3.20173i
\(761\) −2.39492e14 1.38271e14i −0.938356