Properties

Label 43.10.c.a.6.16
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.16
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.16

$q$-expansion

\(f(q)\) \(=\) \(q-5.60251 q^{2} +(-131.864 + 228.395i) q^{3} -480.612 q^{4} +(566.701 - 981.555i) q^{5} +(738.770 - 1279.59i) q^{6} +(1382.17 + 2393.98i) q^{7} +5561.12 q^{8} +(-24934.8 - 43188.3i) q^{9} +O(q^{10})\) \(q-5.60251 q^{2} +(-131.864 + 228.395i) q^{3} -480.612 q^{4} +(566.701 - 981.555i) q^{5} +(738.770 - 1279.59i) q^{6} +(1382.17 + 2393.98i) q^{7} +5561.12 q^{8} +(-24934.8 - 43188.3i) q^{9} +(-3174.95 + 5499.17i) q^{10} +45080.8 q^{11} +(63375.4 - 109769. i) q^{12} +(-80597.6 - 139599. i) q^{13} +(-7743.60 - 13412.3i) q^{14} +(149455. + 258864. i) q^{15} +214917. q^{16} +(-9820.42 - 17009.5i) q^{17} +(139697. + 241963. i) q^{18} +(-213878. + 370448. i) q^{19} +(-272363. + 471747. i) q^{20} -729032. q^{21} -252566. q^{22} +(-581871. + 1.00783e6i) q^{23} +(-733311. + 1.27013e6i) q^{24} +(334263. + 578960. i) q^{25} +(451549. + 782105. i) q^{26} +7.96104e6 q^{27} +(-664286. - 1.15058e6i) q^{28} +(656740. + 1.13751e6i) q^{29} +(-837323. - 1.45029e6i) q^{30} +(3.47469e6 - 6.01835e6i) q^{31} -4.05137e6 q^{32} +(-5.94454e6 + 1.02962e7i) q^{33} +(55019.0 + 95295.7i) q^{34} +3.13310e6 q^{35} +(1.19839e7 + 2.07568e7i) q^{36} +(1.81029e6 - 3.13552e6i) q^{37} +(1.19825e6 - 2.07544e6i) q^{38} +4.25117e7 q^{39} +(3.15149e6 - 5.45854e6i) q^{40} -1.59687e7 q^{41} +4.08441e6 q^{42} +(3.32413e6 + 2.21708e7i) q^{43} -2.16664e7 q^{44} -5.65222e7 q^{45} +(3.25994e6 - 5.64638e6i) q^{46} +716100. q^{47} +(-2.83398e7 + 4.90860e7i) q^{48} +(1.63560e7 - 2.83295e7i) q^{49} +(-1.87271e6 - 3.24363e6i) q^{50} +5.17984e6 q^{51} +(3.87362e7 + 6.70930e7i) q^{52} +(1.87914e7 - 3.25477e7i) q^{53} -4.46018e7 q^{54} +(2.55473e7 - 4.42493e7i) q^{55} +(7.68639e6 + 1.33132e7i) q^{56} +(-5.64057e7 - 9.76975e7i) q^{57} +(-3.67939e6 - 6.37289e6i) q^{58} +8.47700e7 q^{59} +(-7.18298e7 - 1.24413e8i) q^{60} +(5.99318e7 + 1.03805e8i) q^{61} +(-1.94670e7 + 3.37178e7i) q^{62} +(6.89280e7 - 1.19387e8i) q^{63} -8.73397e7 q^{64} -1.82699e8 q^{65} +(3.33043e7 - 5.76848e7i) q^{66} +(1.23409e8 - 2.13750e8i) q^{67} +(4.71981e6 + 8.17495e6i) q^{68} +(-1.53456e8 - 2.65793e8i) q^{69} -1.75532e7 q^{70} +(1.80934e8 + 3.13387e8i) q^{71} +(-1.38665e8 - 2.40175e8i) q^{72} +(9.69112e7 + 1.67855e8i) q^{73} +(-1.01422e7 + 1.75668e7i) q^{74} -1.76309e8 q^{75} +(1.02792e8 - 1.78042e8i) q^{76} +(6.23092e7 + 1.07923e8i) q^{77} -2.38172e8 q^{78} +(-1.16115e8 - 2.01117e8i) q^{79} +(1.21794e8 - 2.10953e8i) q^{80} +(-5.58984e8 + 9.68188e8i) q^{81} +8.94650e7 q^{82} +(-2.68084e8 + 4.64335e8i) q^{83} +3.50382e8 q^{84} -2.22610e7 q^{85} +(-1.86234e7 - 1.24212e8i) q^{86} -3.46402e8 q^{87} +2.50700e8 q^{88} +(-2.72554e7 + 4.72077e7i) q^{89} +3.16666e8 q^{90} +(2.22799e8 - 3.85898e8i) q^{91} +(2.79654e8 - 4.84375e8i) q^{92} +(9.16375e8 + 1.58721e9i) q^{93} -4.01196e6 q^{94} +(2.42410e8 + 4.19866e8i) q^{95} +(5.34230e8 - 9.25313e8i) q^{96} +5.71310e8 q^{97} +(-9.16348e7 + 1.58716e8i) q^{98} +(-1.12408e9 - 1.94696e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.60251 −0.247598 −0.123799 0.992307i \(-0.539508\pi\)
−0.123799 + 0.992307i \(0.539508\pi\)
\(3\) −131.864 + 228.395i −0.939898 + 1.62795i −0.174241 + 0.984703i \(0.555747\pi\)
−0.765658 + 0.643248i \(0.777586\pi\)
\(4\) −480.612 −0.938695
\(5\) 566.701 981.555i 0.405498 0.702343i −0.588881 0.808220i \(-0.700431\pi\)
0.994379 + 0.105876i \(0.0337648\pi\)
\(6\) 738.770 1279.59i 0.232717 0.403078i
\(7\) 1382.17 + 2393.98i 0.217580 + 0.376860i 0.954068 0.299591i \(-0.0968503\pi\)
−0.736488 + 0.676451i \(0.763517\pi\)
\(8\) 5561.12 0.480017
\(9\) −24934.8 43188.3i −1.26682 2.19419i
\(10\) −3174.95 + 5499.17i −0.100401 + 0.173899i
\(11\) 45080.8 0.928377 0.464189 0.885736i \(-0.346346\pi\)
0.464189 + 0.885736i \(0.346346\pi\)
\(12\) 63375.4 109769.i 0.882278 1.52815i
\(13\) −80597.6 139599.i −0.782667 1.35562i −0.930383 0.366589i \(-0.880526\pi\)
0.147716 0.989030i \(-0.452808\pi\)
\(14\) −7743.60 13412.3i −0.0538725 0.0933098i
\(15\) 149455. + 258864.i 0.762254 + 1.32026i
\(16\) 214917. 0.819844
\(17\) −9820.42 17009.5i −0.0285174 0.0493936i 0.851414 0.524493i \(-0.175745\pi\)
−0.879932 + 0.475100i \(0.842412\pi\)
\(18\) 139697. + 241963.i 0.313662 + 0.543278i
\(19\) −213878. + 370448.i −0.376509 + 0.652133i −0.990552 0.137140i \(-0.956209\pi\)
0.614043 + 0.789273i \(0.289542\pi\)
\(20\) −272363. + 471747.i −0.380639 + 0.659286i
\(21\) −729032. −0.818013
\(22\) −252566. −0.229865
\(23\) −581871. + 1.00783e6i −0.433562 + 0.750952i −0.997177 0.0750859i \(-0.976077\pi\)
0.563615 + 0.826038i \(0.309410\pi\)
\(24\) −733311. + 1.27013e6i −0.451168 + 0.781445i
\(25\) 334263. + 578960.i 0.171143 + 0.296428i
\(26\) 451549. + 782105.i 0.193787 + 0.335649i
\(27\) 7.96104e6 2.88292
\(28\) −664286. 1.15058e6i −0.204241 0.353756i
\(29\) 656740. + 1.13751e6i 0.172426 + 0.298650i 0.939267 0.343186i \(-0.111506\pi\)
−0.766842 + 0.641836i \(0.778173\pi\)
\(30\) −837323. 1.45029e6i −0.188733 0.326895i
\(31\) 3.47469e6 6.01835e6i 0.675755 1.17044i −0.300493 0.953784i \(-0.597151\pi\)
0.976248 0.216657i \(-0.0695154\pi\)
\(32\) −4.05137e6 −0.683009
\(33\) −5.94454e6 + 1.02962e7i −0.872580 + 1.51135i
\(34\) 55019.0 + 95295.7i 0.00706086 + 0.0122298i
\(35\) 3.13310e6 0.352913
\(36\) 1.19839e7 + 2.07568e7i 1.18916 + 2.05968i
\(37\) 1.81029e6 3.13552e6i 0.158796 0.275044i −0.775638 0.631177i \(-0.782572\pi\)
0.934435 + 0.356134i \(0.115905\pi\)
\(38\) 1.19825e6 2.07544e6i 0.0932229 0.161467i
\(39\) 4.25117e7 2.94251
\(40\) 3.15149e6 5.45854e6i 0.194646 0.337137i
\(41\) −1.59687e7 −0.882558 −0.441279 0.897370i \(-0.645475\pi\)
−0.441279 + 0.897370i \(0.645475\pi\)
\(42\) 4.08441e6 0.202538
\(43\) 3.32413e6 + 2.21708e7i 0.148276 + 0.988946i
\(44\) −2.16664e7 −0.871463
\(45\) −5.65222e7 −2.05477
\(46\) 3.25994e6 5.64638e6i 0.107349 0.185934i
\(47\) 716100. 0.0214059 0.0107029 0.999943i \(-0.496593\pi\)
0.0107029 + 0.999943i \(0.496593\pi\)
\(48\) −2.83398e7 + 4.90860e7i −0.770570 + 1.33467i
\(49\) 1.63560e7 2.83295e7i 0.405318 0.702031i
\(50\) −1.87271e6 3.24363e6i −0.0423746 0.0733950i
\(51\) 5.17984e6 0.107214
\(52\) 3.87362e7 + 6.70930e7i 0.734685 + 1.27251i
\(53\) 1.87914e7 3.25477e7i 0.327129 0.566604i −0.654812 0.755792i \(-0.727252\pi\)
0.981941 + 0.189188i \(0.0605856\pi\)
\(54\) −4.46018e7 −0.713806
\(55\) 2.55473e7 4.42493e7i 0.376455 0.652040i
\(56\) 7.68639e6 + 1.33132e7i 0.104442 + 0.180899i
\(57\) −5.64057e7 9.76975e7i −0.707760 1.22588i
\(58\) −3.67939e6 6.37289e6i −0.0426923 0.0739453i
\(59\) 8.47700e7 0.910769 0.455385 0.890295i \(-0.349502\pi\)
0.455385 + 0.890295i \(0.349502\pi\)
\(60\) −7.18298e7 1.24413e8i −0.715524 1.23932i
\(61\) 5.99318e7 + 1.03805e8i 0.554208 + 0.959917i 0.997965 + 0.0637694i \(0.0203122\pi\)
−0.443756 + 0.896147i \(0.646354\pi\)
\(62\) −1.94670e7 + 3.37178e7i −0.167316 + 0.289799i
\(63\) 6.89280e7 1.19387e8i 0.551269 0.954825i
\(64\) −8.73397e7 −0.650732
\(65\) −1.82699e8 −1.26948
\(66\) 3.33043e7 5.76848e7i 0.216049 0.374208i
\(67\) 1.23409e8 2.13750e8i 0.748185 1.29589i −0.200507 0.979692i \(-0.564259\pi\)
0.948692 0.316202i \(-0.102408\pi\)
\(68\) 4.71981e6 + 8.17495e6i 0.0267691 + 0.0463655i
\(69\) −1.53456e8 2.65793e8i −0.815009 1.41164i
\(70\) −1.75532e7 −0.0873807
\(71\) 1.80934e8 + 3.13387e8i 0.845001 + 1.46358i 0.885620 + 0.464410i \(0.153733\pi\)
−0.0406196 + 0.999175i \(0.512933\pi\)
\(72\) −1.38665e8 2.40175e8i −0.608094 1.05325i
\(73\) 9.69112e7 + 1.67855e8i 0.399412 + 0.691802i 0.993653 0.112485i \(-0.0358810\pi\)
−0.594242 + 0.804287i \(0.702548\pi\)
\(74\) −1.01422e7 + 1.75668e7i −0.0393177 + 0.0681003i
\(75\) −1.76309e8 −0.643427
\(76\) 1.02792e8 1.78042e8i 0.353427 0.612154i
\(77\) 6.23092e7 + 1.07923e8i 0.201996 + 0.349868i
\(78\) −2.38172e8 −0.728560
\(79\) −1.16115e8 2.01117e8i −0.335402 0.580934i 0.648160 0.761504i \(-0.275539\pi\)
−0.983562 + 0.180571i \(0.942206\pi\)
\(80\) 1.21794e8 2.10953e8i 0.332445 0.575812i
\(81\) −5.58984e8 + 9.68188e8i −1.44283 + 2.49906i
\(82\) 8.94650e7 0.218520
\(83\) −2.68084e8 + 4.64335e8i −0.620040 + 1.07394i 0.369438 + 0.929256i \(0.379550\pi\)
−0.989478 + 0.144685i \(0.953783\pi\)
\(84\) 3.50382e8 0.767865
\(85\) −2.22610e7 −0.0462550
\(86\) −1.86234e7 1.24212e8i −0.0367128 0.244861i
\(87\) −3.46402e8 −0.648251
\(88\) 2.50700e8 0.445637
\(89\) −2.72554e7 + 4.72077e7i −0.0460466 + 0.0797550i −0.888130 0.459592i \(-0.847996\pi\)
0.842084 + 0.539347i \(0.181329\pi\)
\(90\) 3.16666e8 0.508757
\(91\) 2.22799e8 3.85898e8i 0.340585 0.589911i
\(92\) 2.79654e8 4.84375e8i 0.406983 0.704915i
\(93\) 9.16375e8 + 1.58721e9i 1.27028 + 2.20019i
\(94\) −4.01196e6 −0.00530006
\(95\) 2.42410e8 + 4.19866e8i 0.305347 + 0.528877i
\(96\) 5.34230e8 9.25313e8i 0.641959 1.11191i
\(97\) 5.71310e8 0.655238 0.327619 0.944810i \(-0.393754\pi\)
0.327619 + 0.944810i \(0.393754\pi\)
\(98\) −9.16348e7 + 1.58716e8i −0.100356 + 0.173822i
\(99\) −1.12408e9 1.94696e9i −1.17608 2.03704i
\(100\) −1.60651e8 2.78255e8i −0.160651 0.278255i
\(101\) −1.00773e8 1.74544e8i −0.0963605 0.166901i 0.813815 0.581124i \(-0.197387\pi\)
−0.910176 + 0.414223i \(0.864053\pi\)
\(102\) −2.90201e7 −0.0265459
\(103\) 9.96043e8 + 1.72520e9i 0.871988 + 1.51033i 0.859937 + 0.510400i \(0.170503\pi\)
0.0120510 + 0.999927i \(0.496164\pi\)
\(104\) −4.48212e8 7.76327e8i −0.375694 0.650721i
\(105\) −4.13143e8 + 7.15585e8i −0.331703 + 0.574526i
\(106\) −1.05279e8 + 1.82349e8i −0.0809965 + 0.140290i
\(107\) 2.48012e9 1.82913 0.914567 0.404435i \(-0.132532\pi\)
0.914567 + 0.404435i \(0.132532\pi\)
\(108\) −3.82617e9 −2.70618
\(109\) 9.74447e8 1.68779e9i 0.661209 1.14525i −0.319089 0.947725i \(-0.603377\pi\)
0.980298 0.197523i \(-0.0632897\pi\)
\(110\) −1.43129e8 + 2.47907e8i −0.0932097 + 0.161444i
\(111\) 4.77425e8 + 8.26924e8i 0.298505 + 0.517026i
\(112\) 2.97051e8 + 5.14508e8i 0.178382 + 0.308966i
\(113\) 2.89129e9 1.66817 0.834083 0.551639i \(-0.185997\pi\)
0.834083 + 0.551639i \(0.185997\pi\)
\(114\) 3.16013e8 + 5.47351e8i 0.175240 + 0.303525i
\(115\) 6.59494e8 + 1.14228e9i 0.351617 + 0.609019i
\(116\) −3.15637e8 5.46699e8i −0.161855 0.280342i
\(117\) −4.01936e9 + 6.96174e9i −1.98299 + 3.43464i
\(118\) −4.74925e8 −0.225505
\(119\) 2.71469e7 4.70198e7i 0.0124096 0.0214941i
\(120\) 8.31136e8 + 1.43957e9i 0.365895 + 0.633749i
\(121\) −3.25669e8 −0.138115
\(122\) −3.35768e8 5.81568e8i −0.137221 0.237674i
\(123\) 2.10570e9 3.64719e9i 0.829515 1.43676i
\(124\) −1.66998e9 + 2.89249e9i −0.634327 + 1.09869i
\(125\) 2.97138e9 1.08859
\(126\) −3.86170e8 + 6.68866e8i −0.136493 + 0.236413i
\(127\) −3.73717e9 −1.27475 −0.637377 0.770552i \(-0.719980\pi\)
−0.637377 + 0.770552i \(0.719980\pi\)
\(128\) 2.56362e9 0.844129
\(129\) −5.50203e9 2.16431e9i −1.74932 0.688123i
\(130\) 1.02357e9 0.314321
\(131\) −4.38881e9 −1.30204 −0.651022 0.759058i \(-0.725660\pi\)
−0.651022 + 0.759058i \(0.725660\pi\)
\(132\) 2.85702e9 4.94850e9i 0.819087 1.41870i
\(133\) −1.18246e9 −0.327683
\(134\) −6.91398e8 + 1.19754e9i −0.185249 + 0.320861i
\(135\) 4.51153e9 7.81419e9i 1.16902 2.02480i
\(136\) −5.46125e7 9.45916e7i −0.0136888 0.0237098i
\(137\) 4.02802e9 0.976897 0.488449 0.872593i \(-0.337563\pi\)
0.488449 + 0.872593i \(0.337563\pi\)
\(138\) 8.59737e8 + 1.48911e9i 0.201795 + 0.349519i
\(139\) 2.87598e9 4.98134e9i 0.653460 1.13183i −0.328818 0.944393i \(-0.606650\pi\)
0.982278 0.187432i \(-0.0600164\pi\)
\(140\) −1.50581e9 −0.331278
\(141\) −9.44279e7 + 1.63554e8i −0.0201194 + 0.0348478i
\(142\) −1.01368e9 1.75575e9i −0.209221 0.362381i
\(143\) −3.63340e9 6.29324e9i −0.726610 1.25853i
\(144\) −5.35891e9 9.28190e9i −1.03859 1.79889i
\(145\) 1.48870e9 0.279673
\(146\) −5.42946e8 9.40410e8i −0.0988937 0.171289i
\(147\) 4.31355e9 + 7.47128e9i 0.761915 + 1.31968i
\(148\) −8.70048e8 + 1.50697e9i −0.149061 + 0.258182i
\(149\) 2.38617e9 4.13297e9i 0.396609 0.686947i −0.596696 0.802467i \(-0.703520\pi\)
0.993305 + 0.115520i \(0.0368534\pi\)
\(150\) 9.87773e8 0.159311
\(151\) −7.89555e9 −1.23591 −0.617954 0.786214i \(-0.712038\pi\)
−0.617954 + 0.786214i \(0.712038\pi\)
\(152\) −1.18940e9 + 2.06010e9i −0.180731 + 0.313035i
\(153\) −4.89740e8 + 8.48254e8i −0.0722527 + 0.125145i
\(154\) −3.49088e8 6.04638e8i −0.0500140 0.0866267i
\(155\) −3.93822e9 6.82120e9i −0.548034 0.949223i
\(156\) −2.04316e10 −2.76212
\(157\) 3.93319e9 + 6.81249e9i 0.516651 + 0.894865i 0.999813 + 0.0193345i \(0.00615475\pi\)
−0.483162 + 0.875531i \(0.660512\pi\)
\(158\) 6.50534e8 + 1.12676e9i 0.0830450 + 0.143838i
\(159\) 4.95583e9 + 8.58375e9i 0.614936 + 1.06510i
\(160\) −2.29591e9 + 3.97664e9i −0.276959 + 0.479707i
\(161\) −3.21697e9 −0.377338
\(162\) 3.13171e9 5.42428e9i 0.357243 0.618764i
\(163\) 7.78518e9 + 1.34843e10i 0.863822 + 1.49618i 0.868212 + 0.496194i \(0.165269\pi\)
−0.00438936 + 0.999990i \(0.501397\pi\)
\(164\) 7.67477e9 0.828453
\(165\) 6.73755e9 + 1.16698e10i 0.707659 + 1.22570i
\(166\) 1.50194e9 2.60144e9i 0.153521 0.265906i
\(167\) 8.31204e9 1.43969e10i 0.826958 1.43233i −0.0734561 0.997298i \(-0.523403\pi\)
0.900414 0.435034i \(-0.143264\pi\)
\(168\) −4.05423e9 −0.392660
\(169\) −7.68969e9 + 1.33189e10i −0.725135 + 1.25597i
\(170\) 1.24717e8 0.0114527
\(171\) 2.13320e10 1.90787
\(172\) −1.59761e9 1.06555e10i −0.139186 0.928319i
\(173\) −1.82170e10 −1.54622 −0.773109 0.634274i \(-0.781299\pi\)
−0.773109 + 0.634274i \(0.781299\pi\)
\(174\) 1.94072e9 0.160506
\(175\) −9.24014e8 + 1.60044e9i −0.0744745 + 0.128994i
\(176\) 9.68864e9 0.761124
\(177\) −1.11781e10 + 1.93611e10i −0.856030 + 1.48269i
\(178\) 1.52699e8 2.64482e8i 0.0114010 0.0197472i
\(179\) 6.60523e9 + 1.14406e10i 0.480894 + 0.832933i 0.999760 0.0219230i \(-0.00697887\pi\)
−0.518866 + 0.854856i \(0.673646\pi\)
\(180\) 2.71652e10 1.92880
\(181\) −6.28873e9 1.08924e10i −0.435521 0.754345i 0.561817 0.827262i \(-0.310103\pi\)
−0.997338 + 0.0729169i \(0.976769\pi\)
\(182\) −1.24823e9 + 2.16200e9i −0.0843284 + 0.146061i
\(183\) −3.16114e10 −2.08360
\(184\) −3.23585e9 + 5.60466e9i −0.208117 + 0.360470i
\(185\) −2.05179e9 3.55380e9i −0.128783 0.223059i
\(186\) −5.13400e9 8.89234e9i −0.314519 0.544763i
\(187\) −4.42712e8 7.66800e8i −0.0264749 0.0458559i
\(188\) −3.44166e8 −0.0200936
\(189\) 1.10035e10 + 1.90586e10i 0.627266 + 1.08646i
\(190\) −1.35810e9 2.35230e9i −0.0756034 0.130949i
\(191\) 6.21497e8 1.07646e9i 0.0337900 0.0585260i −0.848636 0.528978i \(-0.822576\pi\)
0.882426 + 0.470451i \(0.155909\pi\)
\(192\) 1.15170e10 1.99480e10i 0.611622 1.05936i
\(193\) 2.27748e10 1.18153 0.590766 0.806843i \(-0.298825\pi\)
0.590766 + 0.806843i \(0.298825\pi\)
\(194\) −3.20077e9 −0.162236
\(195\) 2.40914e10 4.17275e10i 1.19318 2.06665i
\(196\) −7.86090e9 + 1.36155e10i −0.380470 + 0.658993i
\(197\) −1.25675e10 2.17676e10i −0.594500 1.02970i −0.993617 0.112804i \(-0.964017\pi\)
0.399118 0.916900i \(-0.369316\pi\)
\(198\) 6.29766e9 + 1.09079e10i 0.291196 + 0.504367i
\(199\) 1.44263e10 0.652103 0.326051 0.945352i \(-0.394282\pi\)
0.326051 + 0.945352i \(0.394282\pi\)
\(200\) 1.85887e9 + 3.21967e9i 0.0821514 + 0.142290i
\(201\) 3.25463e10 + 5.63719e10i 1.40643 + 2.43602i
\(202\) 5.64583e8 + 9.77886e8i 0.0238587 + 0.0413244i
\(203\) −1.81545e9 + 3.14445e9i −0.0750329 + 0.129961i
\(204\) −2.48949e9 −0.100641
\(205\) −9.04950e9 + 1.56742e10i −0.357876 + 0.619859i
\(206\) −5.58034e9 9.66543e9i −0.215903 0.373954i
\(207\) 5.80353e10 2.19698
\(208\) −1.73218e10 3.00022e10i −0.641664 1.11140i
\(209\) −9.64180e9 + 1.67001e10i −0.349542 + 0.605425i
\(210\) 2.31464e9 4.00907e9i 0.0821290 0.142252i
\(211\) −3.64897e10 −1.26736 −0.633678 0.773597i \(-0.718456\pi\)
−0.633678 + 0.773597i \(0.718456\pi\)
\(212\) −9.03139e9 + 1.56428e10i −0.307074 + 0.531868i
\(213\) −9.54347e10 −3.17686
\(214\) −1.38949e10 −0.452890
\(215\) 2.36456e10 + 9.30138e9i 0.754705 + 0.296875i
\(216\) 4.42723e10 1.38385
\(217\) 1.92104e10 0.588123
\(218\) −5.45935e9 + 9.45586e9i −0.163714 + 0.283561i
\(219\) −5.11164e10 −1.50163
\(220\) −1.22783e10 + 2.12667e10i −0.353377 + 0.612066i
\(221\) −1.58300e9 + 2.74184e9i −0.0446392 + 0.0773174i
\(222\) −2.67478e9 4.63285e9i −0.0739093 0.128015i
\(223\) −5.57604e9 −0.150992 −0.0754960 0.997146i \(-0.524054\pi\)
−0.0754960 + 0.997146i \(0.524054\pi\)
\(224\) −5.59966e9 9.69890e9i −0.148609 0.257399i
\(225\) 1.66695e10 2.88725e10i 0.433613 0.751039i
\(226\) −1.61985e10 −0.413035
\(227\) 1.84578e10 3.19698e10i 0.461385 0.799142i −0.537645 0.843171i \(-0.680686\pi\)
0.999030 + 0.0440291i \(0.0140194\pi\)
\(228\) 2.71092e10 + 4.69546e10i 0.664371 + 1.15072i
\(229\) −1.08103e10 1.87239e10i −0.259763 0.449922i 0.706415 0.707797i \(-0.250311\pi\)
−0.966178 + 0.257875i \(0.916978\pi\)
\(230\) −3.69482e9 6.39961e9i −0.0870598 0.150792i
\(231\) −3.28654e10 −0.759425
\(232\) 3.65221e9 + 6.32581e9i 0.0827674 + 0.143357i
\(233\) −1.17085e10 2.02797e10i −0.260255 0.450775i 0.706054 0.708158i \(-0.250473\pi\)
−0.966310 + 0.257382i \(0.917140\pi\)
\(234\) 2.25185e10 3.90032e10i 0.490985 0.850411i
\(235\) 4.05814e8 7.02891e8i 0.00868005 0.0150343i
\(236\) −4.07415e10 −0.854935
\(237\) 6.12455e10 1.26098
\(238\) −1.52091e8 + 2.63429e8i −0.00307260 + 0.00532191i
\(239\) −2.91753e9 + 5.05331e9i −0.0578396 + 0.100181i −0.893495 0.449072i \(-0.851755\pi\)
0.835656 + 0.549253i \(0.185088\pi\)
\(240\) 3.21204e10 + 5.56342e10i 0.624929 + 1.08241i
\(241\) 1.15334e10 + 1.99765e10i 0.220233 + 0.381454i 0.954879 0.296997i \(-0.0959850\pi\)
−0.734646 + 0.678451i \(0.762652\pi\)
\(242\) 1.82456e9 0.0341971
\(243\) −6.90712e10 1.19635e11i −1.27078 2.20105i
\(244\) −2.88039e10 4.98899e10i −0.520233 0.901069i
\(245\) −1.85380e10 3.21087e10i −0.328711 0.569344i
\(246\) −1.17972e10 + 2.04334e10i −0.205386 + 0.355740i
\(247\) 6.89523e10 1.17872
\(248\) 1.93232e10 3.34687e10i 0.324374 0.561832i
\(249\) −7.07013e10 1.22458e11i −1.16555 2.01879i
\(250\) −1.66472e10 −0.269532
\(251\) −4.25673e10 7.37288e10i −0.676932 1.17248i −0.975900 0.218217i \(-0.929976\pi\)
0.298969 0.954263i \(-0.403357\pi\)
\(252\) −3.31276e10 + 5.73787e10i −0.517473 + 0.896290i
\(253\) −2.62312e10 + 4.54338e10i −0.402509 + 0.697167i
\(254\) 2.09375e10 0.315627
\(255\) 2.93542e9 5.08430e9i 0.0434750 0.0753009i
\(256\) 3.03552e10 0.441727
\(257\) 1.02348e11 1.46346 0.731732 0.681592i \(-0.238712\pi\)
0.731732 + 0.681592i \(0.238712\pi\)
\(258\) 3.08252e10 + 1.21256e10i 0.433129 + 0.170378i
\(259\) 1.00085e10 0.138204
\(260\) 8.78072e10 1.19165
\(261\) 3.27513e10 5.67269e10i 0.436864 0.756671i
\(262\) 2.45883e10 0.322384
\(263\) −1.29162e10 + 2.23715e10i −0.166469 + 0.288333i −0.937176 0.348857i \(-0.886570\pi\)
0.770707 + 0.637190i \(0.219903\pi\)
\(264\) −3.30583e10 + 5.72586e10i −0.418854 + 0.725476i
\(265\) −2.12983e10 3.68897e10i −0.265300 0.459513i
\(266\) 6.62475e9 0.0811338
\(267\) −7.18801e9 1.24500e10i −0.0865582 0.149923i
\(268\) −5.93116e10 + 1.02731e11i −0.702317 + 1.21645i
\(269\) 5.79889e10 0.675242 0.337621 0.941282i \(-0.390378\pi\)
0.337621 + 0.941282i \(0.390378\pi\)
\(270\) −2.52759e10 + 4.37791e10i −0.289447 + 0.501337i
\(271\) 3.95623e10 + 6.85239e10i 0.445574 + 0.771757i 0.998092 0.0617441i \(-0.0196663\pi\)
−0.552518 + 0.833501i \(0.686333\pi\)
\(272\) −2.11058e9 3.65563e9i −0.0233798 0.0404950i
\(273\) 5.87583e10 + 1.01772e11i 0.640231 + 1.10891i
\(274\) −2.25670e10 −0.241878
\(275\) 1.50688e10 + 2.61000e10i 0.158885 + 0.275197i
\(276\) 7.37527e10 + 1.27743e11i 0.765045 + 1.32510i
\(277\) −5.18097e10 + 8.97371e10i −0.528753 + 0.915826i 0.470685 + 0.882301i \(0.344007\pi\)
−0.999438 + 0.0335251i \(0.989327\pi\)
\(278\) −1.61127e10 + 2.79080e10i −0.161795 + 0.280238i
\(279\) −3.46563e11 −3.42423
\(280\) 1.74235e10 0.169405
\(281\) 1.26726e10 2.19495e10i 0.121251 0.210013i −0.799010 0.601318i \(-0.794643\pi\)
0.920261 + 0.391304i \(0.127976\pi\)
\(282\) 5.29033e8 9.16312e8i 0.00498152 0.00862824i
\(283\) −7.42941e9 1.28681e10i −0.0688518 0.119255i 0.829544 0.558441i \(-0.188600\pi\)
−0.898396 + 0.439186i \(0.855267\pi\)
\(284\) −8.69589e10 1.50617e11i −0.793198 1.37386i
\(285\) −1.27861e11 −1.14798
\(286\) 2.03562e10 + 3.52579e10i 0.179907 + 0.311609i
\(287\) −2.20715e10 3.82289e10i −0.192027 0.332601i
\(288\) 1.01020e11 + 1.74972e11i 0.865248 + 1.49865i
\(289\) 5.91011e10 1.02366e11i 0.498374 0.863208i
\(290\) −8.34046e9 −0.0692467
\(291\) −7.53352e10 + 1.30484e11i −0.615857 + 1.06670i
\(292\) −4.65767e10 8.06732e10i −0.374926 0.649391i
\(293\) 1.31985e11 1.04621 0.523107 0.852267i \(-0.324773\pi\)
0.523107 + 0.852267i \(0.324773\pi\)
\(294\) −2.41667e10 4.18579e10i −0.188649 0.326749i
\(295\) 4.80392e10 8.32064e10i 0.369315 0.639673i
\(296\) 1.00672e10 1.74370e10i 0.0762251 0.132026i
\(297\) 3.58890e11 2.67644
\(298\) −1.33685e10 + 2.31550e10i −0.0981998 + 0.170087i
\(299\) 1.87590e11 1.35734
\(300\) 8.47362e10 0.603981
\(301\) −4.84819e10 + 3.86016e10i −0.340432 + 0.271054i
\(302\) 4.42349e10 0.306009
\(303\) 5.31535e10 0.362276
\(304\) −4.59661e10 + 7.96156e10i −0.308678 + 0.534647i
\(305\) 1.35854e11 0.898922
\(306\) 2.74377e9 4.75235e9i 0.0178896 0.0309858i
\(307\) −4.97701e10 + 8.62044e10i −0.319776 + 0.553868i −0.980441 0.196812i \(-0.936941\pi\)
0.660665 + 0.750681i \(0.270274\pi\)
\(308\) −2.99465e10 5.18689e10i −0.189613 0.328420i
\(309\) −5.25369e11 −3.27832
\(310\) 2.20639e10 + 3.82158e10i 0.135692 + 0.235026i
\(311\) 1.21878e11 2.11100e11i 0.738763 1.27957i −0.214290 0.976770i \(-0.568744\pi\)
0.953053 0.302804i \(-0.0979229\pi\)
\(312\) 2.36412e11 1.41246
\(313\) 9.40797e10 1.62951e11i 0.554047 0.959637i −0.443931 0.896061i \(-0.646416\pi\)
0.997977 0.0635755i \(-0.0202504\pi\)
\(314\) −2.20358e10 3.81671e10i −0.127922 0.221567i
\(315\) −7.81231e10 1.35313e11i −0.447077 0.774360i
\(316\) 5.58062e10 + 9.66591e10i 0.314840 + 0.545320i
\(317\) 4.86852e10 0.270789 0.135394 0.990792i \(-0.456770\pi\)
0.135394 + 0.990792i \(0.456770\pi\)
\(318\) −2.77651e10 4.80906e10i −0.152257 0.263717i
\(319\) 2.96064e10 + 5.12797e10i 0.160076 + 0.277260i
\(320\) −4.94955e10 + 8.57287e10i −0.263870 + 0.457037i
\(321\) −3.27038e11 + 5.66447e11i −1.71920 + 2.97774i
\(322\) 1.80231e10 0.0934282
\(323\) 8.40149e9 0.0429482
\(324\) 2.68654e11 4.65323e11i 1.35438 2.34586i
\(325\) 5.38816e10 9.33256e10i 0.267895 0.464008i
\(326\) −4.36165e10 7.55461e10i −0.213881 0.370453i
\(327\) 2.56989e11 + 4.45118e11i 1.24294 + 2.15283i
\(328\) −8.88040e10 −0.423643
\(329\) 9.89770e8 + 1.71433e9i 0.00465750 + 0.00806702i
\(330\) −3.77472e10 6.53800e10i −0.175215 0.303482i
\(331\) 1.17770e11 + 2.03984e11i 0.539274 + 0.934049i 0.998943 + 0.0459594i \(0.0146345\pi\)
−0.459670 + 0.888090i \(0.652032\pi\)
\(332\) 1.28844e11 2.23165e11i 0.582029 1.00810i
\(333\) −1.80557e11 −0.804664
\(334\) −4.65683e10 + 8.06586e10i −0.204753 + 0.354643i
\(335\) −1.39871e11 2.42265e11i −0.606775 1.05096i
\(336\) −1.56682e11 −0.670643
\(337\) −3.31707e10 5.74533e10i −0.140094 0.242650i 0.787438 0.616394i \(-0.211407\pi\)
−0.927532 + 0.373744i \(0.878074\pi\)
\(338\) 4.30815e10 7.46194e10i 0.179542 0.310976i
\(339\) −3.81258e11 + 6.60358e11i −1.56791 + 2.71569i
\(340\) 1.06989e10 0.0434193
\(341\) 1.56642e11 2.71312e11i 0.627355 1.08661i
\(342\) −1.19513e11 −0.472386
\(343\) 2.01978e11 0.787917
\(344\) 1.84859e10 + 1.23294e11i 0.0711748 + 0.474711i
\(345\) −3.47854e11 −1.32194
\(346\) 1.02061e11 0.382841
\(347\) −1.11333e11 + 1.92835e11i −0.412232 + 0.714007i −0.995134 0.0985359i \(-0.968584\pi\)
0.582901 + 0.812543i \(0.301917\pi\)
\(348\) 1.66485e11 0.608510
\(349\) −2.23939e10 + 3.87873e10i −0.0808006 + 0.139951i −0.903594 0.428390i \(-0.859081\pi\)
0.822793 + 0.568341i \(0.192414\pi\)
\(350\) 5.17680e9 8.96648e9i 0.0184397 0.0319386i
\(351\) −6.41640e11 1.11135e12i −2.25637 3.90814i
\(352\) −1.82639e11 −0.634090
\(353\) −5.29826e10 9.17686e10i −0.181613 0.314563i 0.760817 0.648967i \(-0.224799\pi\)
−0.942430 + 0.334403i \(0.891465\pi\)
\(354\) 6.26255e10 1.08471e11i 0.211952 0.367111i
\(355\) 4.10141e11 1.37058
\(356\) 1.30993e10 2.26886e10i 0.0432237 0.0748656i
\(357\) 7.15941e9 + 1.24005e10i 0.0233276 + 0.0404046i
\(358\) −3.70059e10 6.40960e10i −0.119068 0.206233i
\(359\) −7.26378e10 1.25812e11i −0.230801 0.399759i 0.727243 0.686380i \(-0.240801\pi\)
−0.958044 + 0.286621i \(0.907468\pi\)
\(360\) −3.14327e11 −0.986324
\(361\) 6.98561e10 + 1.20994e11i 0.216482 + 0.374958i
\(362\) 3.52326e10 + 6.10247e10i 0.107834 + 0.186774i
\(363\) 4.29440e10 7.43812e10i 0.129814 0.224845i
\(364\) −1.07080e11 + 1.85467e11i −0.319706 + 0.553747i
\(365\) 2.19679e11 0.647843
\(366\) 1.77103e11 0.515895
\(367\) 6.32435e10 1.09541e11i 0.181978 0.315195i −0.760576 0.649249i \(-0.775083\pi\)
0.942554 + 0.334054i \(0.108417\pi\)
\(368\) −1.25054e11 + 2.16600e11i −0.355453 + 0.615663i
\(369\) 3.98177e11 + 6.89663e11i 1.11804 + 1.93650i
\(370\) 1.14952e10 + 1.99102e10i 0.0318865 + 0.0552291i
\(371\) 1.03892e11 0.284707
\(372\) −4.40421e11 7.62831e11i −1.19241 2.06531i
\(373\) −1.45299e11 2.51665e11i −0.388662 0.673183i 0.603607 0.797282i \(-0.293729\pi\)
−0.992270 + 0.124099i \(0.960396\pi\)
\(374\) 2.48030e9 + 4.29601e9i 0.00655514 + 0.0113538i
\(375\) −3.91819e11 + 6.78650e11i −1.02316 + 1.77217i
\(376\) 3.98232e9 0.0102752
\(377\) 1.05863e11 1.83361e11i 0.269904 0.467488i
\(378\) −6.16471e10 1.06776e11i −0.155310 0.269005i
\(379\) 1.68125e11 0.418559 0.209280 0.977856i \(-0.432888\pi\)
0.209280 + 0.977856i \(0.432888\pi\)
\(380\) −1.16505e11 2.01793e11i −0.286628 0.496454i
\(381\) 4.92798e11 8.53552e11i 1.19814 2.07524i
\(382\) −3.48194e9 + 6.03090e9i −0.00836635 + 0.0144909i
\(383\) −2.96438e11 −0.703946 −0.351973 0.936010i \(-0.614489\pi\)
−0.351973 + 0.936010i \(0.614489\pi\)
\(384\) −3.38050e11 + 5.85519e11i −0.793396 + 1.37420i
\(385\) 1.41243e11 0.327637
\(386\) −1.27596e11 −0.292545
\(387\) 8.74631e11 6.96386e11i 1.98210 1.57816i
\(388\) −2.74578e11 −0.615068
\(389\) 6.53137e11 1.44621 0.723105 0.690738i \(-0.242714\pi\)
0.723105 + 0.690738i \(0.242714\pi\)
\(390\) −1.34972e11 + 2.33779e11i −0.295430 + 0.511699i
\(391\) 2.28569e10 0.0494563
\(392\) 9.09578e10 1.57544e11i 0.194560 0.336987i
\(393\) 5.78726e11 1.00238e12i 1.22379 2.11967i
\(394\) 7.04096e10 + 1.21953e11i 0.147197 + 0.254953i
\(395\) −2.63210e11 −0.544020
\(396\) 5.40246e11 + 9.35733e11i 1.10398 + 1.91216i
\(397\) −2.92794e11 + 5.07133e11i −0.591567 + 1.02462i 0.402454 + 0.915440i \(0.368157\pi\)
−0.994021 + 0.109185i \(0.965176\pi\)
\(398\) −8.08234e10 −0.161459
\(399\) 1.55924e11 2.70069e11i 0.307989 0.533453i
\(400\) 7.18388e10 + 1.24428e11i 0.140310 + 0.243024i
\(401\) −2.10441e11 3.64494e11i −0.406425 0.703949i 0.588061 0.808817i \(-0.299891\pi\)
−0.994486 + 0.104868i \(0.966558\pi\)
\(402\) −1.82341e11 3.15824e11i −0.348231 0.603153i
\(403\) −1.12021e12 −2.11556
\(404\) 4.84328e10 + 8.38881e10i 0.0904531 + 0.156669i
\(405\) 6.33553e11 + 1.09735e12i 1.17013 + 2.02673i
\(406\) 1.01711e10 1.76168e10i 0.0185780 0.0321781i
\(407\) 8.16094e10 1.41352e11i 0.147423 0.255344i
\(408\) 2.88057e10 0.0514645
\(409\) −5.91657e11 −1.04548 −0.522739 0.852493i \(-0.675090\pi\)
−0.522739 + 0.852493i \(0.675090\pi\)
\(410\) 5.06999e10 8.78148e10i 0.0886094 0.153476i
\(411\) −5.31151e11 + 9.19980e11i −0.918184 + 1.59034i
\(412\) −4.78710e11 8.29150e11i −0.818531 1.41774i
\(413\) 1.17166e11 + 2.02938e11i 0.198165 + 0.343232i
\(414\) −3.25143e11 −0.543967
\(415\) 3.03847e11 + 5.26279e11i 0.502850 + 0.870962i
\(416\) 3.26530e11 + 5.65567e11i 0.534569 + 0.925900i
\(417\) 7.58476e11 + 1.31372e12i 1.22837 + 2.12760i
\(418\) 5.40183e10 9.35624e10i 0.0865461 0.149902i
\(419\) −3.57177e11 −0.566135 −0.283067 0.959100i \(-0.591352\pi\)
−0.283067 + 0.959100i \(0.591352\pi\)
\(420\) 1.98562e11 3.43919e11i 0.311368 0.539304i
\(421\) 1.15009e10 + 1.99201e10i 0.0178428 + 0.0309046i 0.874809 0.484468i \(-0.160987\pi\)
−0.856966 + 0.515373i \(0.827654\pi\)
\(422\) 2.04434e11 0.313795
\(423\) −1.78558e10 3.09271e10i −0.0271174 0.0469686i
\(424\) 1.04501e11 1.81002e11i 0.157028 0.271980i
\(425\) 6.56520e9 1.13713e10i 0.00976108 0.0169067i
\(426\) 5.34674e11 0.786585
\(427\) −1.65671e11 + 2.86951e11i −0.241169 + 0.417718i
\(428\) −1.19197e12 −1.71700
\(429\) 1.91646e12 2.73176
\(430\) −1.32475e11 5.21110e10i −0.186864 0.0735058i
\(431\) −9.81989e10 −0.137075 −0.0685376 0.997649i \(-0.521833\pi\)
−0.0685376 + 0.997649i \(0.521833\pi\)
\(432\) 1.71096e12 2.36354
\(433\) −2.26562e11 + 3.92418e11i −0.309737 + 0.536479i −0.978305 0.207172i \(-0.933574\pi\)
0.668568 + 0.743651i \(0.266908\pi\)
\(434\) −1.07627e11 −0.145618
\(435\) −1.96306e11 + 3.40012e11i −0.262865 + 0.455295i
\(436\) −4.68331e11 + 8.11173e11i −0.620674 + 1.07504i
\(437\) −2.48899e11 4.31106e11i −0.326480 0.565480i
\(438\) 2.86380e11 0.371800
\(439\) 6.79011e10 + 1.17608e11i 0.0872542 + 0.151129i 0.906350 0.422529i \(-0.138857\pi\)
−0.819095 + 0.573657i \(0.805524\pi\)
\(440\) 1.42072e11 2.46075e11i 0.180705 0.312990i
\(441\) −1.63134e12 −2.05385
\(442\) 8.86879e9 1.53612e10i 0.0110526 0.0191437i
\(443\) 7.42144e11 + 1.28543e12i 0.915528 + 1.58574i 0.806126 + 0.591743i \(0.201560\pi\)
0.109402 + 0.993998i \(0.465107\pi\)
\(444\) −2.29456e11 3.97430e11i −0.280205 0.485330i
\(445\) 3.08913e10 + 5.35053e10i 0.0373436 + 0.0646810i
\(446\) 3.12398e10 0.0373853
\(447\) 6.29300e11 + 1.08998e12i 0.745545 + 1.29132i
\(448\) −1.20718e11 2.09090e11i −0.141586 0.245235i
\(449\) −4.71563e11 + 8.16771e11i −0.547559 + 0.948400i 0.450882 + 0.892584i \(0.351110\pi\)
−0.998441 + 0.0558166i \(0.982224\pi\)
\(450\) −9.33912e10 + 1.61758e11i −0.107362 + 0.185956i
\(451\) −7.19884e11 −0.819347
\(452\) −1.38959e12 −1.56590
\(453\) 1.04114e12 1.80331e12i 1.16163 2.01200i
\(454\) −1.03410e11 + 1.79111e11i −0.114238 + 0.197866i
\(455\) −2.52520e11 4.37378e11i −0.276214 0.478416i
\(456\) −3.13679e11 5.43307e11i −0.339737 0.588442i
\(457\) 3.80128e11 0.407668 0.203834 0.979005i \(-0.434660\pi\)
0.203834 + 0.979005i \(0.434660\pi\)
\(458\) 6.05646e10 + 1.04901e11i 0.0643168 + 0.111400i
\(459\) −7.81807e10 1.35413e11i −0.0822134 0.142398i
\(460\) −3.16960e11 5.48992e11i −0.330061 0.571683i
\(461\) −4.37742e10 + 7.58191e10i −0.0451402 + 0.0781852i −0.887713 0.460398i \(-0.847707\pi\)
0.842573 + 0.538583i \(0.181040\pi\)
\(462\) 1.84129e11 0.188032
\(463\) 7.96298e11 1.37923e12i 0.805307 1.39483i −0.110777 0.993845i \(-0.535334\pi\)
0.916084 0.400987i \(-0.131333\pi\)
\(464\) 1.41145e11 + 2.44470e11i 0.141362 + 0.244847i
\(465\) 2.07724e12 2.06039
\(466\) 6.55970e10 + 1.13617e11i 0.0644387 + 0.111611i
\(467\) 6.67330e11 1.15585e12i 0.649254 1.12454i −0.334047 0.942556i \(-0.608414\pi\)
0.983301 0.181985i \(-0.0582522\pi\)
\(468\) 1.93175e12 3.34590e12i 1.86142 3.22408i
\(469\) 6.82285e11 0.651160
\(470\) −2.27358e9 + 3.93795e9i −0.00214916 + 0.00372246i
\(471\) −2.07459e12 −1.94240
\(472\) 4.71416e11 0.437185
\(473\) 1.49854e11 + 9.99476e11i 0.137656 + 0.918115i
\(474\) −3.43128e11 −0.312215
\(475\) −2.85966e11 −0.257747
\(476\) −1.30471e10 + 2.25983e10i −0.0116489 + 0.0201764i
\(477\) −1.87424e12 −1.65765
\(478\) 1.63455e10 2.83112e10i 0.0143210 0.0248047i
\(479\) 3.56310e11 6.17147e11i 0.309256 0.535647i −0.668944 0.743313i \(-0.733253\pi\)
0.978200 + 0.207666i \(0.0665867\pi\)
\(480\) −6.05497e11 1.04875e12i −0.520626 0.901751i
\(481\) −5.83620e11 −0.497139
\(482\) −6.46161e10 1.11918e11i −0.0545292 0.0944474i
\(483\) 4.24203e11 7.34741e11i 0.354659 0.614288i
\(484\) 1.56520e11 0.129648
\(485\) 3.23762e11 5.60772e11i 0.265698 0.460202i
\(486\) 3.86972e11 + 6.70255e11i 0.314642 + 0.544975i
\(487\) −4.85186e11 8.40367e11i −0.390866 0.677000i 0.601698 0.798724i \(-0.294491\pi\)
−0.992564 + 0.121724i \(0.961158\pi\)
\(488\) 3.33288e11 + 5.77271e11i 0.266030 + 0.460777i
\(489\) −4.10634e12 −3.24762
\(490\) 1.03859e11 + 1.79889e11i 0.0813883 + 0.140969i
\(491\) 2.40491e11 + 4.16543e11i 0.186738 + 0.323440i 0.944161 0.329485i \(-0.106875\pi\)
−0.757423 + 0.652925i \(0.773542\pi\)
\(492\) −1.01203e12 + 1.75288e12i −0.778662 + 1.34868i
\(493\) 1.28989e10 2.23416e10i 0.00983428 0.0170335i
\(494\) −3.86306e11 −0.291850
\(495\) −2.54807e12 −1.90760
\(496\) 7.46771e11 1.29345e12i 0.554013 0.959579i
\(497\) −5.00161e11 + 8.66305e11i −0.367711 + 0.636894i
\(498\) 3.96105e11 + 6.86074e11i 0.288588 + 0.499849i
\(499\) 2.13237e11 + 3.69337e11i 0.153961 + 0.266668i 0.932680 0.360704i \(-0.117464\pi\)
−0.778719 + 0.627372i \(0.784130\pi\)
\(500\) −1.42808e12 −1.02185
\(501\) 2.19212e12 + 3.79686e12i 1.55451 + 2.69249i
\(502\) 2.38484e11 + 4.13066e11i 0.167607 + 0.290304i
\(503\) −4.32986e11 7.49953e11i −0.301590 0.522370i 0.674906 0.737904i \(-0.264184\pi\)
−0.976496 + 0.215534i \(0.930851\pi\)
\(504\) 3.83317e11 6.63924e11i 0.264619 0.458333i
\(505\) −2.28433e11 −0.156296
\(506\) 1.46961e11 2.54543e11i 0.0996606 0.172617i
\(507\) −2.02799e12 3.51258e12i −1.36311 2.36097i
\(508\) 1.79613e12 1.19660
\(509\) 5.88963e11 + 1.02011e12i 0.388918 + 0.673626i 0.992304 0.123823i \(-0.0395156\pi\)
−0.603386 + 0.797449i \(0.706182\pi\)
\(510\) −1.64457e10 + 2.84848e10i −0.0107643 + 0.0186444i
\(511\) −2.67895e11 + 4.64007e11i −0.173808 + 0.301045i
\(512\) −1.48264e12 −0.953500
\(513\) −1.70269e12 + 2.94915e12i −1.08545 + 1.88005i
\(514\) −5.73408e11 −0.362351
\(515\) 2.25783e12 1.41436
\(516\) 2.64434e12 + 1.04019e12i 1.64208 + 0.645938i
\(517\) 3.22824e10 0.0198727
\(518\) −5.60727e10 −0.0342190
\(519\) 2.40217e12 4.16069e12i 1.45329 2.51717i
\(520\) −1.01601e12 −0.609372
\(521\) −2.58752e10 + 4.48172e10i −0.0153856 + 0.0266486i −0.873616 0.486617i \(-0.838231\pi\)
0.858230 + 0.513265i \(0.171564\pi\)
\(522\) −1.83490e11 + 3.17813e11i −0.108167 + 0.187350i
\(523\) 8.45797e11 + 1.46496e12i 0.494320 + 0.856188i 0.999979 0.00654619i \(-0.00208373\pi\)
−0.505658 + 0.862734i \(0.668750\pi\)
\(524\) 2.10931e12 1.22222
\(525\) −2.43689e11 4.22081e11i −0.139997 0.242482i
\(526\) 7.23631e10 1.25337e11i 0.0412174 0.0713907i
\(527\) −1.36492e11 −0.0770830
\(528\) −1.27758e12 + 2.21284e12i −0.715379 + 1.23907i
\(529\) 2.23429e11 + 3.86990e11i 0.124048 + 0.214857i
\(530\) 1.19324e11 + 2.06675e11i 0.0656879 + 0.113775i
\(531\) −2.11372e12 3.66107e12i −1.15378 1.99840i
\(532\) 5.68305e11 0.307595
\(533\) 1.28704e12 + 2.22922e12i 0.690749 + 1.19641i
\(534\) 4.02709e10 + 6.97512e10i 0.0214316 + 0.0371207i
\(535\) 1.40548e12 2.43437e12i 0.741710 1.28468i
\(536\) 6.86289e11 1.18869e12i 0.359142 0.622052i
\(537\) −3.48397e12 −1.80797
\(538\) −3.24883e11 −0.167189
\(539\) 7.37343e11 1.27712e12i 0.376288 0.651750i
\(540\) −2.16829e12 + 3.75559e12i −1.09735 + 1.90067i
\(541\) 8.63831e11 + 1.49620e12i 0.433552 + 0.750934i 0.997176 0.0750974i \(-0.0239268\pi\)
−0.563624 + 0.826031i \(0.690593\pi\)
\(542\) −2.21648e11 3.83906e11i −0.110323 0.191086i
\(543\) 3.31703e12 1.63738
\(544\) 3.97861e10 + 6.89116e10i 0.0194776 + 0.0337363i
\(545\) −1.10444e12 1.91295e12i −0.536238 0.928792i
\(546\) −3.29194e11 5.70180e11i −0.158520 0.274565i
\(547\) −1.08433e12 + 1.87811e12i −0.517866 + 0.896970i 0.481919 + 0.876216i \(0.339940\pi\)
−0.999785 + 0.0207542i \(0.993393\pi\)
\(548\) −1.93591e12 −0.917009
\(549\) 2.98877e12 5.17670e12i 1.40416 2.43208i
\(550\) −8.44233e10 1.46225e11i −0.0393396 0.0681382i
\(551\) −5.61849e11 −0.259680
\(552\) −8.53385e11 1.47811e12i −0.391218 0.677610i
\(553\) 3.20980e11 5.55954e11i 0.145954 0.252799i
\(554\) 2.90264e11 5.02753e11i 0.130918 0.226757i
\(555\) 1.08223e12 0.484173
\(556\) −1.38223e12 + 2.39409e12i −0.613399 + 1.06244i
\(557\) −7.34724e11 −0.323426 −0.161713 0.986838i \(-0.551702\pi\)
−0.161713 + 0.986838i \(0.551702\pi\)
\(558\) 1.94162e12 0.847833
\(559\) 2.82710e12 2.25095e12i 1.22458 0.975020i
\(560\) 6.73357e11 0.289334
\(561\) 2.33511e11 0.0995349
\(562\) −7.09982e10 + 1.22972e11i −0.0300216 + 0.0519989i
\(563\) 4.56048e11 0.191304 0.0956518 0.995415i \(-0.469506\pi\)
0.0956518 + 0.995415i \(0.469506\pi\)
\(564\) 4.53832e10 7.86059e10i 0.0188859 0.0327114i
\(565\) 1.63850e12 2.83796e12i 0.676438 1.17163i
\(566\) 4.16233e10 + 7.20937e10i 0.0170476 + 0.0295273i
\(567\) −3.09043e12 −1.25573
\(568\) 1.00619e12 + 1.74278e12i 0.405615 + 0.702546i
\(569\) −1.30127e12 + 2.25386e12i −0.520429 + 0.901409i 0.479289 + 0.877657i \(0.340895\pi\)
−0.999718 + 0.0237519i \(0.992439\pi\)
\(570\) 7.16340e11 0.284238
\(571\) 2.13318e11 3.69478e11i 0.0839780 0.145454i −0.820977 0.570961i \(-0.806571\pi\)
0.904955 + 0.425507i \(0.139904\pi\)
\(572\) 1.74626e12 + 3.02461e12i 0.682065 + 1.18137i
\(573\) 1.63906e11 + 2.83894e11i 0.0635184 + 0.110017i
\(574\) 1.23656e11 + 2.14178e11i 0.0475456 + 0.0823514i
\(575\) −7.77992e11 −0.296804
\(576\) 2.17780e12 + 3.77205e12i 0.824358 + 1.42783i
\(577\) −1.59785e11 2.76756e11i −0.0600130 0.103946i 0.834458 0.551072i \(-0.185781\pi\)
−0.894471 + 0.447126i \(0.852448\pi\)
\(578\) −3.31114e11 + 5.73507e11i −0.123396 + 0.213729i
\(579\) −3.00317e12 + 5.20165e12i −1.11052 + 1.92348i
\(580\) −7.15487e11 −0.262528
\(581\) −1.48215e12 −0.539634
\(582\) 4.22066e11 7.31040e11i 0.152485 0.264112i
\(583\) 8.47134e11 1.46728e12i 0.303699 0.526022i
\(584\) 5.38934e11 + 9.33462e11i 0.191725 + 0.332077i
\(585\) 4.55555e12 + 7.89045e12i 1.60820 + 2.78548i
\(586\) −7.39448e11 −0.259041
\(587\) −3.75508e11 6.50400e11i −0.130541 0.226104i 0.793344 0.608774i \(-0.208338\pi\)
−0.923885 + 0.382669i \(0.875005\pi\)
\(588\) −2.07314e12 3.59079e12i −0.715206 1.23877i
\(589\) 1.48632e12 + 2.57439e12i 0.508855 + 0.881363i
\(590\) −2.69140e11 + 4.66165e11i −0.0914418 + 0.158382i
\(591\) 6.62882e12 2.23508
\(592\) 3.89063e11 6.73876e11i 0.130188 0.225493i
\(593\) −3.20827e11 5.55689e11i −0.106543 0.184538i 0.807825 0.589423i \(-0.200645\pi\)
−0.914368 + 0.404885i \(0.867312\pi\)
\(594\) −2.01068e12 −0.662681
\(595\) −3.07684e10 5.32924e10i −0.0100642 0.0174317i
\(596\) −1.14682e12 + 1.98635e12i −0.372295 + 0.644834i
\(597\) −1.90231e12 + 3.29490e12i −0.612910 + 1.06159i
\(598\) −1.05097e12 −0.336075
\(599\) −3.38497e11 + 5.86294e11i −0.107432 + 0.186078i −0.914729 0.404067i \(-0.867596\pi\)
0.807297 + 0.590145i \(0.200929\pi\)
\(600\) −9.80475e11 −0.308856
\(601\) −3.82443e12 −1.19573 −0.597863 0.801598i \(-0.703983\pi\)
−0.597863 + 0.801598i \(0.703983\pi\)
\(602\) 2.71620e11 2.16266e11i 0.0842904 0.0671125i
\(603\) −1.23087e13 −3.79125
\(604\) 3.79469e12 1.16014
\(605\) −1.84557e11 + 3.19662e11i −0.0560055 + 0.0970044i
\(606\) −2.97793e11 −0.0896989
\(607\) 2.94602e12 5.10265e12i 0.880818 1.52562i 0.0303852 0.999538i \(-0.490327\pi\)
0.850433 0.526084i \(-0.176340\pi\)
\(608\) 8.66499e11 1.50082e12i 0.257159 0.445413i
\(609\) −4.78785e11 8.29280e11i −0.141047 0.244300i
\(610\) −7.61121e11 −0.222571
\(611\) −5.77159e10 9.99669e10i −0.0167537 0.0290182i
\(612\) 2.35375e11 4.07681e11i 0.0678232 0.117473i
\(613\) 6.37703e12 1.82409 0.912044 0.410091i \(-0.134503\pi\)
0.912044 + 0.410091i \(0.134503\pi\)
\(614\) 2.78837e11 4.82961e11i 0.0791760 0.137137i
\(615\) −2.38661e12 4.13373e12i −0.672733 1.16521i
\(616\) 3.46509e11 + 6.00171e11i 0.0969618 + 0.167943i
\(617\) 2.74456e12 + 4.75371e12i 0.762411 + 1.32053i 0.941605 + 0.336721i \(0.109318\pi\)
−0.179194 + 0.983814i \(0.557349\pi\)
\(618\) 2.94338e12 0.811706
\(619\) −9.92299e11 1.71871e12i −0.271666 0.470539i 0.697623 0.716465i \(-0.254241\pi\)
−0.969288 + 0.245927i \(0.920908\pi\)
\(620\) 1.89276e12 + 3.27835e12i 0.514437 + 0.891031i
\(621\) −4.63230e12 + 8.02337e12i −1.24993 + 2.16493i
\(622\) −6.82825e11 + 1.18269e12i −0.182916 + 0.316820i
\(623\) −1.50686e11 −0.0400753
\(624\) 9.13649e12 2.41240
\(625\) 1.03103e12 1.78579e12i 0.270278 0.468135i
\(626\) −5.27082e11 + 9.12933e11i −0.137181 + 0.237604i
\(627\) −2.54281e12 4.40428e12i −0.657069 1.13808i
\(628\) −1.89034e12 3.27417e12i −0.484978 0.840006i
\(629\) −7.11113e10 −0.0181138
\(630\) 4.37685e11 + 7.58093e11i 0.110695 + 0.191730i
\(631\) −2.03290e12 3.52108e12i −0.510485 0.884186i −0.999926 0.0121499i \(-0.996132\pi\)
0.489441 0.872036i \(-0.337201\pi\)
\(632\) −6.45728e11 1.11843e12i −0.160999 0.278858i
\(633\) 4.81168e12 8.33407e12i 1.19119 2.06319i
\(634\) −2.72759e11 −0.0670468
\(635\) −2.11786e12 + 3.66824e12i −0.516910 + 0.895314i
\(636\) −2.38183e12 4.12545e12i −0.577237 0.999804i
\(637\) −5.27303e12 −1.26892
\(638\) −1.65870e11 2.87295e11i −0.0396346 0.0686492i
\(639\) 9.02308e12 1.56284e13i 2.14092 3.70819i
\(640\) 1.45281e12 2.51633e12i 0.342293 0.592869i
\(641\) 5.89544e12 1.37929 0.689644 0.724148i \(-0.257767\pi\)
0.689644 + 0.724148i \(0.257767\pi\)
\(642\) 1.83224e12 3.17352e12i 0.425671 0.737283i
\(643\) −4.19857e12 −0.968616 −0.484308 0.874898i \(-0.660929\pi\)
−0.484308 + 0.874898i \(0.660929\pi\)
\(644\) 1.54611e12 0.354205
\(645\) −5.24240e12 + 4.17403e12i −1.19264 + 0.949591i
\(646\) −4.70694e10 −0.0106339
\(647\) −3.63800e12 −0.816195 −0.408097 0.912938i \(-0.633808\pi\)
−0.408097 + 0.912938i \(0.633808\pi\)
\(648\) −3.10857e12 + 5.38421e12i −0.692586 + 1.19959i
\(649\) 3.82150e12 0.845538
\(650\) −3.01872e11 + 5.22857e11i −0.0663304 + 0.114888i
\(651\) −2.53316e12 + 4.38757e12i −0.552776 + 0.957436i
\(652\) −3.74165e12 6.48073e12i −0.810866 1.40446i
\(653\) −1.85178e12 −0.398548 −0.199274 0.979944i \(-0.563858\pi\)
−0.199274 + 0.979944i \(0.563858\pi\)
\(654\) −1.43978e12 2.49378e12i −0.307749 0.533038i
\(655\) −2.48714e12 + 4.30786e12i −0.527977 + 0.914483i
\(656\) −3.43196e12 −0.723560
\(657\) 4.83292e12 8.37085e12i 1.01196 1.75277i
\(658\) −5.54519e9 9.60455e9i −0.00115319 0.00199738i
\(659\) 1.63933e12 + 2.83940e12i 0.338595 + 0.586464i 0.984169 0.177234i \(-0.0567149\pi\)
−0.645574 + 0.763698i \(0.723382\pi\)
\(660\) −3.23815e12 5.60863e12i −0.664276 1.15056i
\(661\) −8.94346e11 −0.182221 −0.0911106 0.995841i \(-0.529042\pi\)
−0.0911106 + 0.995841i \(0.529042\pi\)
\(662\) −6.59808e11 1.14282e12i −0.133523 0.231269i
\(663\) −4.17483e11 7.23101e11i −0.0839127 0.145341i
\(664\) −1.49085e12 + 2.58222e12i −0.297630 + 0.515510i
\(665\) −6.70102e11 + 1.16065e12i −0.132875 + 0.230146i
\(666\) 1.01157e12 0.199233
\(667\) −1.52855e12 −0.299029
\(668\) −3.99486e12 + 6.91931e12i −0.776261 + 1.34452i
\(669\) 7.35279e11 1.27354e12i 0.141917 0.245808i
\(670\) 7.83631e11 + 1.35729e12i 0.150236 + 0.260217i
\(671\) 2.70177e12 + 4.67961e12i 0.514514 + 0.891165i
\(672\) 2.95358e12 0.558710
\(673\) 9.66710e11 + 1.67439e12i 0.181647 + 0.314622i 0.942442 0.334371i \(-0.108524\pi\)
−0.760794 + 0.648993i \(0.775190\pi\)
\(674\) 1.85839e11 + 3.21882e11i 0.0346870 + 0.0600797i
\(675\) 2.66108e12 + 4.60912e12i 0.493391 + 0.854578i
\(676\) 3.69576e12 6.40124e12i 0.680680 1.17897i
\(677\) −5.75500e12 −1.05292 −0.526461 0.850199i \(-0.676482\pi\)
−0.526461 + 0.850199i \(0.676482\pi\)
\(678\) 2.13600e12 3.69966e12i 0.388211 0.672401i
\(679\) 7.89645e11 + 1.36771e12i 0.142567 + 0.246933i
\(680\) −1.23796e11 −0.0222032
\(681\) 4.86784e12 + 8.43134e12i 0.867310 + 1.50222i
\(682\) −8.77588e11 + 1.52003e12i −0.155332 + 0.269043i
\(683\) −5.46408e12 + 9.46407e12i −0.960780 + 1.66412i −0.240232 + 0.970716i \(0.577223\pi\)
−0.720548 + 0.693405i \(0.756110\pi\)
\(684\) −1.02524e13 −1.79091
\(685\) 2.28268e12 3.95372e12i 0.396130 0.686117i
\(686\) −1.13158e12 −0.195087
\(687\) 5.70195e12 0.976602
\(688\) 7.14412e11 + 4.76488e12i 0.121563 + 0.810781i
\(689\) −6.05818e12 −1.02413
\(690\) 1.94885e12 0.327309
\(691\) 4.35858e11 7.54928e11i 0.0727266 0.125966i −0.827369 0.561659i \(-0.810163\pi\)
0.900095 + 0.435693i \(0.143497\pi\)
\(692\) 8.75533e12 1.45143
\(693\) 3.10733e12 5.38205e12i 0.511785 0.886438i
\(694\) 6.23745e11 1.08036e12i 0.102068 0.176787i
\(695\) −3.25964e12 5.64586e12i −0.529953 0.917906i
\(696\) −1.92638e12 −0.311172
\(697\) 1.56820e11 + 2.71620e11i 0.0251683 + 0.0435927i
\(698\) 1.25462e11 2.17306e11i 0.0200061 0.0346516i
\(699\) 6.17572e12 0.978454
\(700\) 4.44092e11 7.69190e11i 0.0699088 0.121086i
\(701\) −5.16219e12 8.94117e12i −0.807426 1.39850i −0.914641 0.404267i \(-0.867527\pi\)
0.107215 0.994236i \(-0.465807\pi\)
\(702\) 3.59479e12 + 6.22637e12i 0.558672 + 0.967649i
\(703\) 7.74364e11 + 1.34124e12i 0.119577 + 0.207113i
\(704\) −3.93735e12 −0.604125
\(705\) 1.07025e11 + 1.85372e11i 0.0163167 + 0.0282614i
\(706\) 2.96836e11 + 5.14134e11i 0.0449671 + 0.0778853i
\(707\) 2.78571e11 4.82499e11i 0.0419322 0.0726288i
\(708\) 5.37234e12 9.30516e12i 0.803551 1.39179i
\(709\) −3.35099e12 −0.498042 −0.249021 0.968498i \(-0.580109\pi\)
−0.249021 + 0.968498i \(0.580109\pi\)
\(710\) −2.29782e12 −0.339354
\(711\) −5.79059e12 + 1.00296e13i −0.849787 + 1.47187i
\(712\) −1.51570e11 + 2.62528e11i −0.0221032 + 0.0382838i
\(713\) 4.04365e12 + 7.00380e12i 0.585963 + 1.01492i
\(714\) −4.01106e10 6.94736e10i −0.00577587 0.0100041i
\(715\) −8.23621e12 −1.17856
\(716\) −3.17455e12 5.49849e12i −0.451413 0.781870i
\(717\) −7.69435e11 1.33270e12i −0.108727 0.188320i
\(718\) 4.06954e11 + 7.04864e11i 0.0571459 + 0.0989796i
\(719\) −9.92865e11 + 1.71969e12i −0.138551 + 0.239978i −0.926948 0.375189i \(-0.877578\pi\)
0.788397 + 0.615167i \(0.210911\pi\)
\(720\) −1.21476e13 −1.68459
\(721\) −2.75339e12 + 4.76902e12i −0.379455 + 0.657235i
\(722\) −3.91369e11 6.77871e11i −0.0536006 0.0928389i
\(723\) −6.08338e12 −0.827985
\(724\) 3.02244e12 + 5.23502e12i 0.408822 + 0.708100i
\(725\) −4.39048e11 + 7.60453e11i −0.0590188 + 0.102224i
\(726\) −2.40594e11 + 4.16721e11i −0.0321418 + 0.0556712i
\(727\) 1.57347e12 0.208908 0.104454 0.994530i \(-0.466691\pi\)
0.104454 + 0.994530i \(0.466691\pi\)
\(728\) 1.23901e12 2.14603e12i 0.163487 0.283168i
\(729\) 1.44271e13 1.89193
\(730\) −1.23075e12 −0.160405
\(731\) 3.44469e11 2.74268e11i 0.0446192 0.0355260i
\(732\) 1.51928e13 1.95586
\(733\) 1.76363e12 0.225652 0.112826 0.993615i \(-0.464010\pi\)
0.112826 + 0.993615i \(0.464010\pi\)
\(734\) −3.54322e11 + 6.13704e11i −0.0450574 + 0.0780417i
\(735\) 9.77796e12 1.23582
\(736\) 2.35737e12 4.08309e12i 0.296127 0.512907i
\(737\) 5.56336e12 9.63602e12i 0.694598 1.20308i
\(738\) −2.23079e12 3.86384e12i −0.276825 0.479475i
\(739\) −4.36162e12 −0.537958 −0.268979 0.963146i \(-0.586686\pi\)
−0.268979 + 0.963146i \(0.586686\pi\)
\(740\) 9.86113e11 + 1.70800e12i 0.120888 + 0.209385i
\(741\) −9.09232e12 + 1.57484e13i −1.10788 + 1.91891i
\(742\) −5.82054e11 −0.0704929
\(743\) 2.97756e12 5.15729e12i 0.358436 0.620829i −0.629264 0.777192i \(-0.716644\pi\)
0.987700 + 0.156363i \(0.0499769\pi\)
\(744\) 5.09607e12 + 8.82664e12i 0.609757 + 1.05613i
\(745\) −2.70449e12 4.68431e12i −0.321649 0.557112i
\(746\) 8.14038e11 + 1.40996e12i 0.0962321 + 0.166679i
\(747\) 2.67385e13 3.14191
\(748\) 2.12773e11 + 3.68533e11i 0.0248519 + 0.0430447i
\(749\) 3.42794e12 + 5.93736e12i 0.397983 + 0.689327i
\(750\) 2.19517e12 3.80214e12i 0.253333 0.438786i
\(751\) −1.71134e12 + 2.96412e12i −0.196316 + 0.340029i −0.947331 0.320256i \(-0.896231\pi\)
0.751015 + 0.660285i \(0.229564\pi\)
\(752\) 1.53902e11 0.0175495
\(753\) 2.24524e13 2.54499
\(754\) −5.93100e11 + 1.02728e12i −0.0668278 + 0.115749i
\(755\) −4.47441e12 + 7.74991e12i −0.501158 + 0.868031i
\(756\) −5.28840e12 9.15978e12i −0.588812 1.01985i
\(757\) −7.23269e11 1.25274e12i −0.0800513 0.138653i 0.823220 0.567722i \(-0.192175\pi\)
−0.903272 + 0.429069i \(0.858842\pi\)
\(758\) −9.41924e11 −0.103635
\(759\) −6.91791e12 1.19822e13i −0.756636 1.31053i
\(760\) 1.34807e12 + 2.33492e12i 0.146572 + 0.253870i
\(761\) −4.16809e12 7.21935e12i −0.450512 0.780309i 0.547906 0.836540i \(-0.315425\pi\)
−0.998418 + 0.0562305i \(0.982092\pi\)
\(762\) −2.76091e12 + 4.78203e12i −0.296657 + 0.513825i
\(763\) 5.38739e12 0.575464