Properties

Label 14.13.d.a.5.6
Level $14$
Weight $13$
Character 14.5
Analytic conductor $12.796$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 14 = 2 \cdot 7 \)
Weight: \( k \) \(=\) \( 13 \)
Character orbit: \([\chi]\) \(=\) 14.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.7959134419\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + 36740634631350658 x^{10} - 2684653740993140180 x^{9} + 5051027688394458110177 x^{8} - 329042050982173184619740 x^{7} + 328571000441888143595366884 x^{6} - 20799163177686535050419379920 x^{5} + 15169931128056380497155715556632 x^{4} - 685746033739471361446313307383040 x^{3} + 159607415711477686151635843287775328 x^{2} + 6015487435743293961505549572273215360 x + 735121207672317095821497912841120438336\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{48}\cdot 3^{8}\cdot 7^{7} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.6
Root \(65.8177 - 114.000i\) of defining polynomial
Character \(\chi\) \(=\) 14.5
Dual form 14.13.d.a.3.6

$q$-expansion

\(f(q)\) \(=\) \(q+(22.6274 - 39.1918i) q^{2} +(-444.082 + 256.391i) q^{3} +(-1024.00 - 1773.62i) q^{4} +(-12687.9 - 7325.35i) q^{5} +23205.9i q^{6} +(117217. + 10074.6i) q^{7} -92681.9 q^{8} +(-134248. + 232524. i) q^{9} +O(q^{10})\) \(q+(22.6274 - 39.1918i) q^{2} +(-444.082 + 256.391i) q^{3} +(-1024.00 - 1773.62i) q^{4} +(-12687.9 - 7325.35i) q^{5} +23205.9i q^{6} +(117217. + 10074.6i) q^{7} -92681.9 q^{8} +(-134248. + 232524. i) q^{9} +(-574187. + 331507. i) q^{10} +(1.34149e6 + 2.32353e6i) q^{11} +(909481. + 525089. i) q^{12} +1.34691e6i q^{13} +(3.04716e6 - 4.36598e6i) q^{14} +7.51261e6 q^{15} +(-2.09715e6 + 3.63237e6i) q^{16} +(6.20477e6 - 3.58233e6i) q^{17} +(6.07536e6 + 1.05228e7i) q^{18} +(6.33442e7 + 3.65718e7i) q^{19} +3.00046e7i q^{20} +(-5.46370e7 + 2.55794e7i) q^{21} +1.21418e8 q^{22} +(-1.14112e8 + 1.97648e8i) q^{23} +(4.11584e7 - 2.37628e7i) q^{24} +(-1.47489e7 - 2.55459e7i) q^{25} +(5.27880e7 + 3.04772e7i) q^{26} -4.10193e8i q^{27} +(-1.02162e8 - 2.18215e8i) q^{28} -5.69081e8 q^{29} +(1.69991e8 - 2.94433e8i) q^{30} +(2.67528e8 - 1.54457e8i) q^{31} +(9.49063e7 + 1.64382e8i) q^{32} +(-1.19146e9 - 6.87891e8i) q^{33} -3.24235e8i q^{34} +(-1.41343e9 - 9.86479e8i) q^{35} +5.49879e8 q^{36} +(-8.51831e8 + 1.47542e9i) q^{37} +(2.86663e9 - 1.65505e9i) q^{38} +(-3.45336e8 - 5.98140e8i) q^{39} +(1.17594e9 + 6.78927e8i) q^{40} +5.37658e9i q^{41} +(-2.33790e8 + 2.72012e9i) q^{42} -9.19904e9 q^{43} +(2.74737e9 - 4.75858e9i) q^{44} +(3.40664e9 - 1.96682e9i) q^{45} +(5.16414e9 + 8.94455e9i) q^{46} +(9.45381e9 + 5.45816e9i) q^{47} -2.15076e9i q^{48} +(1.36383e10 + 2.36182e9i) q^{49} -1.33492e9 q^{50} +(-1.83695e9 + 3.18170e9i) q^{51} +(2.38891e9 - 1.37924e9i) q^{52} +(7.92816e9 + 1.37320e10i) q^{53} +(-1.60762e10 - 9.28161e9i) q^{54} -3.93075e10i q^{55} +(-1.08639e10 - 9.33732e8i) q^{56} -3.75067e10 q^{57} +(-1.28768e10 + 2.23033e10i) q^{58} +(1.75457e10 - 1.01300e10i) q^{59} +(-7.69292e9 - 1.33245e10i) q^{60} +(2.38455e10 + 1.37672e10i) q^{61} -1.39799e10i q^{62} +(-1.80787e10 + 2.59032e10i) q^{63} +8.58993e9 q^{64} +(9.86660e9 - 1.70895e10i) q^{65} +(-5.39194e10 + 3.11304e10i) q^{66} +(-3.35056e10 - 5.80333e10i) q^{67} +(-1.27074e10 - 7.33661e9i) q^{68} -1.17030e11i q^{69} +(-7.06442e10 + 3.30735e10i) q^{70} +7.34393e10 q^{71} +(1.24423e10 - 2.15508e10i) q^{72} +(5.62093e10 - 3.24525e10i) q^{73} +(3.85495e10 + 6.67697e10i) q^{74} +(1.30995e10 + 7.56300e9i) q^{75} -1.49798e11i q^{76} +(1.33836e11 + 2.85871e11i) q^{77} -3.12563e10 q^{78} +(-3.16413e9 + 5.48043e9i) q^{79} +(5.32168e10 - 3.07247e10i) q^{80} +(3.38251e10 + 5.85869e10i) q^{81} +(2.10718e11 + 1.21658e11i) q^{82} +5.07191e11i q^{83} +(1.01316e11 + 7.07119e10i) q^{84} -1.04967e11 q^{85} +(-2.08151e11 + 3.60527e11i) q^{86} +(2.52719e11 - 1.45907e11i) q^{87} +(-1.24332e11 - 2.15349e11i) q^{88} +(-5.49695e11 - 3.17367e11i) q^{89} -1.78016e11i q^{90} +(-1.35696e10 + 1.57881e11i) q^{91} +4.67404e11 q^{92} +(-7.92030e10 + 1.37184e11i) q^{93} +(4.27831e11 - 2.47008e11i) q^{94} +(-5.35802e11 - 9.28037e11i) q^{95} +(-8.42924e10 - 4.86662e10i) q^{96} -3.89725e11i q^{97} +(4.01164e11 - 4.81068e11i) q^{98} -7.20367e11 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} + O(q^{10}) \) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} - 2290176q^{10} + 2072088q^{11} - 11501568q^{14} - 27163728q^{15} - 33554432q^{16} - 101561040q^{17} - 4592640q^{18} + 174931848q^{19} - 323731368q^{21} + 62776320q^{22} + 25630560q^{23} + 242221056q^{24} + 521205808q^{25} - 1434682368q^{26} + 350863360q^{28} + 532360944q^{29} - 2151917568q^{30} + 4583818344q^{31} + 6054957720q^{33} - 1612540440q^{35} - 9675767808q^{36} + 5764524040q^{37} - 149506560q^{38} + 10526083272q^{39} + 4690280448q^{40} - 12685086720q^{42} - 66929432000q^{43} + 4243636224q^{44} + 57253352184q^{45} + 7203213312q^{46} + 18116171640q^{47} - 9977452064q^{49} - 99248080896q^{50} - 23299256376q^{51} + 8269578240q^{52} + 39134161800q^{53} + 105152205312q^{54} + 3623878656q^{56} - 328243960080q^{57} + 29637396480q^{58} + 201845459088q^{59} + 27815657472q^{60} + 336780254328q^{61} - 389095094520q^{63} + 137438953472q^{64} + 158322703896q^{65} + 268884080640q^{66} + 107767119920q^{67} + 207997009920q^{68} - 6077815296q^{70} - 1150259029344q^{71} - 9405726720q^{72} - 738414283320q^{73} + 4902778368q^{74} + 1537028640000q^{75} - 321203352960q^{77} - 786088888320q^{78} + 227632064768q^{79} - 76101451776q^{80} - 391984178400q^{81} - 302578053120q^{82} - 32685686784q^{84} + 710209696080q^{85} - 38105192448q^{86} + 1957017683880q^{87} - 64282951680q^{88} - 2485007442792q^{89} + 1803248333904q^{91} - 104982773760q^{92} - 458668768680q^{93} - 2021298693120q^{94} - 186503862960q^{95} - 496068722688q^{96} - 356371660800q^{98} + 3921180354576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 22.6274 39.1918i 0.353553 0.612372i
\(3\) −444.082 + 256.391i −0.609167 + 0.351702i −0.772639 0.634845i \(-0.781064\pi\)
0.163473 + 0.986548i \(0.447730\pi\)
\(4\) −1024.00 1773.62i −0.250000 0.433013i
\(5\) −12687.9 7325.35i −0.812024 0.468822i 0.0356345 0.999365i \(-0.488655\pi\)
−0.847658 + 0.530543i \(0.821988\pi\)
\(6\) 23205.9i 0.497382i
\(7\) 117217. + 10074.6i 0.996327 + 0.0856326i
\(8\) −92681.9 −0.353553
\(9\) −134248. + 232524.i −0.252611 + 0.437535i
\(10\) −574187. + 331507.i −0.574187 + 0.331507i
\(11\) 1.34149e6 + 2.32353e6i 0.757235 + 1.31157i 0.944255 + 0.329214i \(0.106784\pi\)
−0.187020 + 0.982356i \(0.559883\pi\)
\(12\) 909481. + 525089.i 0.304583 + 0.175851i
\(13\) 1.34691e6i 0.279048i 0.990219 + 0.139524i \(0.0445573\pi\)
−0.990219 + 0.139524i \(0.955443\pi\)
\(14\) 3.04716e6 4.36598e6i 0.404694 0.579847i
\(15\) 7.51261e6 0.659544
\(16\) −2.09715e6 + 3.63237e6i −0.125000 + 0.216506i
\(17\) 6.20477e6 3.58233e6i 0.257059 0.148413i −0.365933 0.930641i \(-0.619250\pi\)
0.622992 + 0.782228i \(0.285917\pi\)
\(18\) 6.07536e6 + 1.05228e7i 0.178623 + 0.309384i
\(19\) 6.33442e7 + 3.65718e7i 1.34644 + 0.777365i 0.987743 0.156091i \(-0.0498894\pi\)
0.358692 + 0.933456i \(0.383223\pi\)
\(20\) 3.00046e7i 0.468822i
\(21\) −5.46370e7 + 2.55794e7i −0.637046 + 0.298246i
\(22\) 1.21418e8 1.07089
\(23\) −1.14112e8 + 1.97648e8i −0.770843 + 1.33514i 0.166259 + 0.986082i \(0.446831\pi\)
−0.937102 + 0.349057i \(0.886502\pi\)
\(24\) 4.11584e7 2.37628e7i 0.215373 0.124346i
\(25\) −1.47489e7 2.55459e7i −0.0604117 0.104636i
\(26\) 5.27880e7 + 3.04772e7i 0.170881 + 0.0986585i
\(27\) 4.10193e8i 1.05878i
\(28\) −1.02162e8 2.18215e8i −0.212002 0.452830i
\(29\) −5.69081e8 −0.956723 −0.478362 0.878163i \(-0.658769\pi\)
−0.478362 + 0.878163i \(0.658769\pi\)
\(30\) 1.69991e8 2.94433e8i 0.233184 0.403886i
\(31\) 2.67528e8 1.54457e8i 0.301439 0.174036i −0.341650 0.939827i \(-0.610986\pi\)
0.643089 + 0.765791i \(0.277653\pi\)
\(32\) 9.49063e7 + 1.64382e8i 0.0883883 + 0.153093i
\(33\) −1.19146e9 6.87891e8i −0.922565 0.532643i
\(34\) 3.24235e8i 0.209888i
\(35\) −1.41343e9 9.86479e8i −0.768895 0.536636i
\(36\) 5.49879e8 0.252611
\(37\) −8.51831e8 + 1.47542e9i −0.332004 + 0.575048i −0.982905 0.184115i \(-0.941058\pi\)
0.650901 + 0.759163i \(0.274391\pi\)
\(38\) 2.86663e9 1.65505e9i 0.952073 0.549680i
\(39\) −3.45336e8 5.98140e8i −0.0981420 0.169987i
\(40\) 1.17594e9 + 6.78927e8i 0.287094 + 0.165754i
\(41\) 5.37658e9i 1.13189i 0.824444 + 0.565944i \(0.191488\pi\)
−0.824444 + 0.565944i \(0.808512\pi\)
\(42\) −2.33790e8 + 2.72012e9i −0.0425921 + 0.495555i
\(43\) −9.19904e9 −1.45523 −0.727615 0.685985i \(-0.759371\pi\)
−0.727615 + 0.685985i \(0.759371\pi\)
\(44\) 2.74737e9 4.75858e9i 0.378618 0.655785i
\(45\) 3.40664e9 1.96682e9i 0.410252 0.236859i
\(46\) 5.16414e9 + 8.94455e9i 0.545068 + 0.944086i
\(47\) 9.45381e9 + 5.45816e9i 0.877041 + 0.506360i 0.869682 0.493613i \(-0.164324\pi\)
0.00735915 + 0.999973i \(0.497657\pi\)
\(48\) 2.15076e9i 0.175851i
\(49\) 1.36383e10 + 2.36182e9i 0.985334 + 0.170636i
\(50\) −1.33492e9 −0.0854350
\(51\) −1.83695e9 + 3.18170e9i −0.104394 + 0.180816i
\(52\) 2.38891e9 1.37924e9i 0.120831 0.0697621i
\(53\) 7.92816e9 + 1.37320e10i 0.357698 + 0.619552i 0.987576 0.157143i \(-0.0502282\pi\)
−0.629877 + 0.776695i \(0.716895\pi\)
\(54\) −1.60762e10 9.28161e9i −0.648368 0.374335i
\(55\) 3.93075e10i 1.42003i
\(56\) −1.08639e10 9.33732e8i −0.352255 0.0302757i
\(57\) −3.75067e10 −1.09360
\(58\) −1.28768e10 + 2.23033e10i −0.338253 + 0.585871i
\(59\) 1.75457e10 1.01300e10i 0.415967 0.240159i −0.277383 0.960759i \(-0.589467\pi\)
0.693350 + 0.720601i \(0.256134\pi\)
\(60\) −7.69292e9 1.33245e10i −0.164886 0.285591i
\(61\) 2.38455e10 + 1.37672e10i 0.462837 + 0.267219i 0.713236 0.700924i \(-0.247229\pi\)
−0.250399 + 0.968143i \(0.580562\pi\)
\(62\) 1.39799e10i 0.246124i
\(63\) −1.80787e10 + 2.59032e10i −0.289150 + 0.414296i
\(64\) 8.58993e9 0.125000
\(65\) 9.86660e9 1.70895e10i 0.130824 0.226594i
\(66\) −5.39194e10 + 3.11304e10i −0.652352 + 0.376635i
\(67\) −3.35056e10 5.80333e10i −0.370398 0.641547i 0.619229 0.785210i \(-0.287445\pi\)
−0.989627 + 0.143663i \(0.954112\pi\)
\(68\) −1.27074e10 7.33661e9i −0.128529 0.0742065i
\(69\) 1.17030e11i 1.08443i
\(70\) −7.06442e10 + 3.30735e10i −0.600466 + 0.281120i
\(71\) 7.34393e10 0.573295 0.286648 0.958036i \(-0.407459\pi\)
0.286648 + 0.958036i \(0.407459\pi\)
\(72\) 1.24423e10 2.15508e10i 0.0893114 0.154692i
\(73\) 5.62093e10 3.24525e10i 0.371425 0.214442i −0.302656 0.953100i \(-0.597873\pi\)
0.674081 + 0.738658i \(0.264540\pi\)
\(74\) 3.85495e10 + 6.67697e10i 0.234762 + 0.406620i
\(75\) 1.30995e10 + 7.56300e9i 0.0736015 + 0.0424939i
\(76\) 1.49798e11i 0.777365i
\(77\) 1.33836e11 + 2.85871e11i 0.642140 + 1.37160i
\(78\) −3.12563e10 −0.138794
\(79\) −3.16413e9 + 5.48043e9i −0.0130164 + 0.0225451i −0.872460 0.488685i \(-0.837477\pi\)
0.859444 + 0.511230i \(0.170810\pi\)
\(80\) 5.32168e10 3.07247e10i 0.203006 0.117206i
\(81\) 3.38251e10 + 5.85869e10i 0.119765 + 0.207439i
\(82\) 2.10718e11 + 1.21658e11i 0.693136 + 0.400183i
\(83\) 5.07191e11i 1.55133i 0.631147 + 0.775663i \(0.282585\pi\)
−0.631147 + 0.775663i \(0.717415\pi\)
\(84\) 1.01316e11 + 7.07119e10i 0.288406 + 0.201288i
\(85\) −1.04967e11 −0.278317
\(86\) −2.08151e11 + 3.60527e11i −0.514502 + 0.891143i
\(87\) 2.52719e11 1.45907e11i 0.582804 0.336482i
\(88\) −1.24332e11 2.15349e11i −0.267723 0.463710i
\(89\) −5.49695e11 3.17367e11i −1.10607 0.638589i −0.168260 0.985743i \(-0.553815\pi\)
−0.937808 + 0.347154i \(0.887148\pi\)
\(90\) 1.78016e11i 0.334969i
\(91\) −1.35696e10 + 1.57881e11i −0.0238956 + 0.278023i
\(92\) 4.67404e11 0.770843
\(93\) −7.92030e10 + 1.37184e11i −0.122418 + 0.212033i
\(94\) 4.27831e11 2.47008e11i 0.620161 0.358050i
\(95\) −5.35802e11 9.28037e11i −0.728891 1.26248i
\(96\) −8.42924e10 4.86662e10i −0.107686 0.0621728i
\(97\) 3.89725e11i 0.467873i −0.972252 0.233937i \(-0.924839\pi\)
0.972252 0.233937i \(-0.0751609\pi\)
\(98\) 4.01164e11 4.81068e11i 0.452861 0.543062i
\(99\) −7.20367e11 −0.765143
\(100\) −3.02058e10 + 5.23180e10i −0.0302058 + 0.0523180i
\(101\) 2.37129e9 1.36906e9i 0.00223386 0.00128972i −0.498883 0.866670i \(-0.666256\pi\)
0.501117 + 0.865380i \(0.332923\pi\)
\(102\) 8.31310e10 + 1.43987e11i 0.0738180 + 0.127856i
\(103\) −1.83996e12 1.06230e12i −1.54094 0.889663i −0.998780 0.0493885i \(-0.984273\pi\)
−0.542161 0.840274i \(-0.682394\pi\)
\(104\) 1.24834e11i 0.0986585i
\(105\) 8.80605e11 + 7.56865e10i 0.657121 + 0.0564784i
\(106\) 7.17575e11 0.505862
\(107\) −9.41831e11 + 1.63130e12i −0.627582 + 1.08700i 0.360453 + 0.932777i \(0.382622\pi\)
−0.988035 + 0.154227i \(0.950711\pi\)
\(108\) −7.27527e11 + 4.20038e11i −0.458465 + 0.264695i
\(109\) 1.30905e12 + 2.26734e12i 0.780544 + 1.35194i 0.931625 + 0.363420i \(0.118391\pi\)
−0.151081 + 0.988521i \(0.548276\pi\)
\(110\) −1.54053e12 8.89426e11i −0.869590 0.502058i
\(111\) 8.73608e11i 0.467067i
\(112\) −2.82416e11 + 4.04647e11i −0.143081 + 0.205007i
\(113\) 2.59357e12 1.24574 0.622869 0.782326i \(-0.285967\pi\)
0.622869 + 0.782326i \(0.285967\pi\)
\(114\) −8.48681e11 + 1.46996e12i −0.386647 + 0.669693i
\(115\) 2.89569e12 1.67183e12i 1.25189 0.722776i
\(116\) 5.82739e11 + 1.00933e12i 0.239181 + 0.414273i
\(117\) −3.13189e11 1.80820e11i −0.122093 0.0704906i
\(118\) 9.16865e11i 0.339636i
\(119\) 7.63394e11 3.57399e11i 0.268823 0.125855i
\(120\) −6.96283e11 −0.233184
\(121\) −2.02997e12 + 3.51600e12i −0.646810 + 1.12031i
\(122\) 1.07913e12 6.23034e11i 0.327275 0.188952i
\(123\) −1.37851e12 2.38765e12i −0.398087 0.689508i
\(124\) −5.47897e11 3.16329e11i −0.150719 0.0870179i
\(125\) 4.00899e12i 1.05093i
\(126\) 6.06121e11 + 1.29466e12i 0.151473 + 0.323543i
\(127\) 6.80221e12 1.62117 0.810583 0.585623i \(-0.199150\pi\)
0.810583 + 0.585623i \(0.199150\pi\)
\(128\) 1.94368e11 3.36655e11i 0.0441942 0.0765466i
\(129\) 4.08513e12 2.35855e12i 0.886478 0.511808i
\(130\) −4.46511e11 7.73381e11i −0.0925066 0.160226i
\(131\) −7.06312e12 4.07789e12i −1.39755 0.806878i −0.403418 0.915016i \(-0.632178\pi\)
−0.994136 + 0.108137i \(0.965511\pi\)
\(132\) 2.81760e12i 0.532643i
\(133\) 7.05656e12 + 4.92500e12i 1.27492 + 0.889808i
\(134\) −3.03258e12 −0.523821
\(135\) −3.00481e12 + 5.20448e12i −0.496380 + 0.859755i
\(136\) −5.75070e11 + 3.32017e11i −0.0908840 + 0.0524719i
\(137\) −4.07097e12 7.05112e12i −0.615707 1.06644i −0.990260 0.139230i \(-0.955537\pi\)
0.374553 0.927206i \(-0.377796\pi\)
\(138\) −4.58661e12 2.64808e12i −0.664075 0.383404i
\(139\) 1.24727e13i 1.72930i −0.502371 0.864652i \(-0.667539\pi\)
0.502371 0.864652i \(-0.332461\pi\)
\(140\) −3.02284e11 + 3.51705e12i −0.0401465 + 0.467100i
\(141\) −5.59769e12 −0.712352
\(142\) 1.66174e12 2.87822e12i 0.202691 0.351070i
\(143\) −3.12959e12 + 1.80687e12i −0.365991 + 0.211305i
\(144\) −5.63076e11 9.75276e11i −0.0631527 0.109384i
\(145\) 7.22043e12 + 4.16872e12i 0.776882 + 0.448533i
\(146\) 2.93726e12i 0.303267i
\(147\) −6.66208e12 + 2.44789e12i −0.660246 + 0.242599i
\(148\) 3.48910e12 0.332004
\(149\) −2.91858e12 + 5.05512e12i −0.266719 + 0.461970i −0.968012 0.250902i \(-0.919273\pi\)
0.701294 + 0.712872i \(0.252606\pi\)
\(150\) 5.92815e11 3.42262e11i 0.0520441 0.0300477i
\(151\) −4.06127e12 7.03433e12i −0.342610 0.593419i 0.642306 0.766448i \(-0.277978\pi\)
−0.984917 + 0.173029i \(0.944644\pi\)
\(152\) −5.87086e12 3.38954e12i −0.476037 0.274840i
\(153\) 1.92368e12i 0.149963i
\(154\) 1.42322e13 + 1.22323e12i 1.06696 + 0.0917033i
\(155\) −4.52581e12 −0.326367
\(156\) −7.07249e11 + 1.22499e12i −0.0490710 + 0.0849934i
\(157\) 2.00528e13 1.15775e13i 1.33899 0.773065i 0.352330 0.935876i \(-0.385390\pi\)
0.986657 + 0.162811i \(0.0520562\pi\)
\(158\) 1.43192e11 + 2.48016e11i 0.00920400 + 0.0159418i
\(159\) −7.04151e12 4.06542e12i −0.435796 0.251607i
\(160\) 2.78088e12i 0.165754i
\(161\) −1.53671e13 + 2.20181e13i −0.882343 + 1.26423i
\(162\) 3.06150e12 0.169373
\(163\) −4.26181e12 + 7.38166e12i −0.227231 + 0.393576i −0.956987 0.290132i \(-0.906301\pi\)
0.729755 + 0.683708i \(0.239634\pi\)
\(164\) 9.53601e12 5.50562e12i 0.490121 0.282972i
\(165\) 1.00781e13 + 1.74557e13i 0.499430 + 0.865037i
\(166\) 1.98778e13 + 1.14764e13i 0.949990 + 0.548477i
\(167\) 2.04015e13i 0.940509i −0.882531 0.470255i \(-0.844162\pi\)
0.882531 0.470255i \(-0.155838\pi\)
\(168\) 5.06386e12 2.37075e12i 0.225230 0.105446i
\(169\) 2.14839e13 0.922132
\(170\) −2.37514e12 + 4.11385e12i −0.0983999 + 0.170434i
\(171\) −1.70076e13 + 9.81936e12i −0.680248 + 0.392741i
\(172\) 9.41982e12 + 1.63156e13i 0.363808 + 0.630133i
\(173\) −7.36291e12 4.25098e12i −0.274646 0.158567i 0.356351 0.934352i \(-0.384021\pi\)
−0.630997 + 0.775785i \(0.717354\pi\)
\(174\) 1.32060e13i 0.475857i
\(175\) −1.47146e12 3.14300e12i −0.0512295 0.109425i
\(176\) −1.12532e13 −0.378618
\(177\) −5.19449e12 + 8.99713e12i −0.168929 + 0.292593i
\(178\) −2.48764e13 + 1.43624e13i −0.782108 + 0.451550i
\(179\) 9.88862e12 + 1.71276e13i 0.300620 + 0.520689i 0.976276 0.216528i \(-0.0694731\pi\)
−0.675657 + 0.737216i \(0.736140\pi\)
\(180\) −6.97679e12 4.02805e12i −0.205126 0.118430i
\(181\) 2.46719e13i 0.701667i 0.936438 + 0.350833i \(0.114102\pi\)
−0.936438 + 0.350833i \(0.885898\pi\)
\(182\) 5.88060e12 + 4.10425e12i 0.161805 + 0.112929i
\(183\) −1.41192e13 −0.375926
\(184\) 1.05762e13 1.83184e13i 0.272534 0.472043i
\(185\) 2.16159e13 1.24799e13i 0.539190 0.311302i
\(186\) 3.58432e12 + 6.20822e12i 0.0865623 + 0.149930i
\(187\) 1.66473e13 + 9.61130e12i 0.389308 + 0.224767i
\(188\) 2.23566e13i 0.506360i
\(189\) 4.13253e12 4.80815e13i 0.0906661 1.05489i
\(190\) −4.84953e13 −1.03081
\(191\) 2.07509e13 3.59417e13i 0.427403 0.740283i −0.569239 0.822172i \(-0.692762\pi\)
0.996641 + 0.0818891i \(0.0260953\pi\)
\(192\) −3.81464e12 + 2.20238e12i −0.0761458 + 0.0439628i
\(193\) −2.98993e13 5.17871e13i −0.578519 1.00202i −0.995650 0.0931772i \(-0.970298\pi\)
0.417131 0.908846i \(-0.363036\pi\)
\(194\) −1.52741e13 8.81848e12i −0.286513 0.165418i
\(195\) 1.01188e13i 0.184045i
\(196\) −9.77663e12 2.66077e13i −0.172446 0.469321i
\(197\) −5.28263e13 −0.903760 −0.451880 0.892079i \(-0.649246\pi\)
−0.451880 + 0.892079i \(0.649246\pi\)
\(198\) −1.63000e13 + 2.82325e13i −0.270519 + 0.468552i
\(199\) 6.62250e13 3.82350e13i 1.06636 0.615663i 0.139175 0.990268i \(-0.455555\pi\)
0.927185 + 0.374605i \(0.122222\pi\)
\(200\) 1.36696e12 + 2.36764e12i 0.0213588 + 0.0369944i
\(201\) 2.97585e13 + 1.71811e13i 0.451268 + 0.260539i
\(202\) 1.23913e11i 0.00182394i
\(203\) −6.67059e13 5.73326e12i −0.953209 0.0819267i
\(204\) 7.52416e12 0.104394
\(205\) 3.93853e13 6.82174e13i 0.530654 0.919119i
\(206\) −8.32673e13 + 4.80744e13i −1.08961 + 0.629087i
\(207\) −3.06387e13 5.30677e13i −0.389446 0.674541i
\(208\) −4.89249e12 2.82468e12i −0.0604157 0.0348810i
\(209\) 1.96243e14i 2.35459i
\(210\) 2.28921e13 3.27999e13i 0.266913 0.382435i
\(211\) 5.17345e13 0.586254 0.293127 0.956074i \(-0.405304\pi\)
0.293127 + 0.956074i \(0.405304\pi\)
\(212\) 1.62369e13 2.81231e13i 0.178849 0.309776i
\(213\) −3.26131e13 + 1.88292e13i −0.349232 + 0.201629i
\(214\) 4.26224e13 + 7.38242e13i 0.443768 + 0.768628i
\(215\) 1.16716e14 + 6.73862e13i 1.18168 + 0.682244i
\(216\) 3.80175e13i 0.374335i
\(217\) 3.29149e13 1.54098e13i 0.315235 0.147583i
\(218\) 1.18482e14 1.10386
\(219\) −1.66410e13 + 2.88231e13i −0.150840 + 0.261262i
\(220\) −6.97165e13 + 4.02508e13i −0.614893 + 0.355009i
\(221\) 4.82508e12 + 8.35729e12i 0.0414144 + 0.0717318i
\(222\) −3.42383e13 1.97675e13i −0.286019 0.165133i
\(223\) 6.07846e13i 0.494270i 0.968981 + 0.247135i \(0.0794891\pi\)
−0.968981 + 0.247135i \(0.920511\pi\)
\(224\) 9.46853e12 + 2.02245e13i 0.0749539 + 0.160100i
\(225\) 7.92005e12 0.0610425
\(226\) 5.86857e13 1.01647e14i 0.440435 0.762856i
\(227\) −1.40116e14 + 8.08961e13i −1.02408 + 0.591251i −0.915282 0.402813i \(-0.868033\pi\)
−0.108795 + 0.994064i \(0.534699\pi\)
\(228\) 3.84069e13 + 6.65227e13i 0.273401 + 0.473545i
\(229\) 7.46197e13 + 4.30817e13i 0.517417 + 0.298731i 0.735877 0.677115i \(-0.236770\pi\)
−0.218460 + 0.975846i \(0.570103\pi\)
\(230\) 1.51316e14i 1.02216i
\(231\) −1.32729e14 9.26359e13i −0.873564 0.609688i
\(232\) 5.27435e13 0.338253
\(233\) 7.78131e13 1.34776e14i 0.486314 0.842321i −0.513562 0.858052i \(-0.671674\pi\)
0.999876 + 0.0157316i \(0.00500772\pi\)
\(234\) −1.41733e13 + 8.18298e12i −0.0863330 + 0.0498444i
\(235\) −7.99658e13 1.38505e14i −0.474785 0.822352i
\(236\) −3.59336e13 2.07463e13i −0.207983 0.120079i
\(237\) 3.24502e12i 0.0183116i
\(238\) 3.26654e12 3.80058e13i 0.0179732 0.209117i
\(239\) 2.13466e14 1.14536 0.572679 0.819780i \(-0.305904\pi\)
0.572679 + 0.819780i \(0.305904\pi\)
\(240\) −1.57551e13 + 2.72886e13i −0.0824429 + 0.142795i
\(241\) −9.99225e13 + 5.76903e13i −0.509989 + 0.294442i −0.732829 0.680413i \(-0.761801\pi\)
0.222840 + 0.974855i \(0.428467\pi\)
\(242\) 9.18658e13 + 1.59116e14i 0.457364 + 0.792177i
\(243\) 1.58746e14 + 9.16518e13i 0.771017 + 0.445147i
\(244\) 5.63906e13i 0.267219i
\(245\) −1.55740e14 1.29872e14i −0.720117 0.600507i
\(246\) −1.24768e14 −0.562981
\(247\) −4.92590e13 + 8.53192e13i −0.216922 + 0.375720i
\(248\) −2.47950e13 + 1.43154e13i −0.106575 + 0.0615309i
\(249\) −1.30039e14 2.25235e14i −0.545605 0.945016i
\(250\) 1.57120e14 + 9.07132e13i 0.643563 + 0.371561i
\(251\) 3.21279e14i 1.28481i 0.766364 + 0.642406i \(0.222064\pi\)
−0.766364 + 0.642406i \(0.777936\pi\)
\(252\) 6.44550e13 + 5.53980e12i 0.251683 + 0.0216317i
\(253\) −6.12322e14 −2.33484
\(254\) 1.53916e14 2.66591e14i 0.573169 0.992758i
\(255\) 4.66141e13 2.69126e13i 0.169541 0.0978848i
\(256\) −8.79609e12 1.52353e13i −0.0312500 0.0541266i
\(257\) −2.96288e14 1.71062e14i −1.02829 0.593683i −0.111795 0.993731i \(-0.535660\pi\)
−0.916494 + 0.400049i \(0.868993\pi\)
\(258\) 2.13472e14i 0.723806i
\(259\) −1.14713e14 + 1.64362e14i −0.380027 + 0.544505i
\(260\) −4.04136e13 −0.130824
\(261\) 7.63979e13 1.32325e14i 0.241679 0.418600i
\(262\) −3.19640e14 + 1.84544e14i −0.988220 + 0.570549i
\(263\) 5.15761e13 + 8.93325e13i 0.155853 + 0.269945i 0.933369 0.358918i \(-0.116854\pi\)
−0.777517 + 0.628863i \(0.783521\pi\)
\(264\) 1.10427e14 + 6.37551e13i 0.326176 + 0.188318i
\(265\) 2.32306e14i 0.670788i
\(266\) 3.52692e14 1.65120e14i 0.995647 0.466132i
\(267\) 3.25480e14 0.898373
\(268\) −6.86194e13 + 1.18852e14i −0.185199 + 0.320774i
\(269\) 4.05993e14 2.34400e14i 1.07153 0.618650i 0.142933 0.989732i \(-0.454347\pi\)
0.928600 + 0.371083i \(0.121013\pi\)
\(270\) 1.35982e14 + 2.35528e14i 0.350993 + 0.607938i
\(271\) 3.78122e14 + 2.18309e14i 0.954589 + 0.551132i 0.894503 0.447061i \(-0.147529\pi\)
0.0600855 + 0.998193i \(0.480863\pi\)
\(272\) 3.00507e13i 0.0742065i
\(273\) −3.44532e13 7.35912e13i −0.0832251 0.177767i
\(274\) −3.68462e14 −0.870741
\(275\) 3.95711e13 6.85391e13i 0.0914917 0.158468i
\(276\) −2.07566e14 + 1.19838e14i −0.469572 + 0.271107i
\(277\) 9.87191e13 + 1.70986e14i 0.218536 + 0.378515i 0.954361 0.298657i \(-0.0965387\pi\)
−0.735825 + 0.677172i \(0.763205\pi\)
\(278\) −4.88828e14 2.82225e14i −1.05898 0.611401i
\(279\) 8.29422e13i 0.175853i
\(280\) 1.31000e14 + 9.14287e13i 0.271845 + 0.189729i
\(281\) 8.30058e13 0.168605 0.0843025 0.996440i \(-0.473134\pi\)
0.0843025 + 0.996440i \(0.473134\pi\)
\(282\) −1.26661e14 + 2.19384e14i −0.251854 + 0.436225i
\(283\) 6.14491e14 3.54776e14i 1.19618 0.690615i 0.236479 0.971637i \(-0.424007\pi\)
0.959701 + 0.281022i \(0.0906733\pi\)
\(284\) −7.52019e13 1.30253e14i −0.143324 0.248244i
\(285\) 4.75881e14 + 2.74750e14i 0.888033 + 0.512706i
\(286\) 1.63539e14i 0.298831i
\(287\) −5.41669e13 + 6.30226e14i −0.0969264 + 1.12773i
\(288\) −5.09638e13 −0.0893114
\(289\) −2.65645e14 + 4.60111e14i −0.455947 + 0.789724i
\(290\) 3.26759e14 1.88655e14i 0.549339 0.317161i
\(291\) 9.99221e13 + 1.73070e14i 0.164552 + 0.285013i
\(292\) −1.15117e14 6.64626e13i −0.185712 0.107221i
\(293\) 1.90883e14i 0.301691i 0.988557 + 0.150845i \(0.0481996\pi\)
−0.988557 + 0.150845i \(0.951800\pi\)
\(294\) −5.48082e13 + 3.16488e14i −0.0848714 + 0.490088i
\(295\) −2.96824e14 −0.450367
\(296\) 7.89494e13 1.36744e14i 0.117381 0.203310i
\(297\) 9.53094e14 5.50269e14i 1.38866 0.801745i
\(298\) 1.32080e14 + 2.28769e14i 0.188599 + 0.326662i
\(299\) −2.66215e14 1.53699e14i −0.372568 0.215102i
\(300\) 3.09780e13i 0.0424939i
\(301\) −1.07828e15 9.26766e13i −1.44989 0.124615i
\(302\) −3.67585e14 −0.484524
\(303\) −7.02031e11 + 1.21595e12i −0.000907195 + 0.00157131i
\(304\) −2.65685e14 + 1.53393e14i −0.336609 + 0.194341i
\(305\) −2.01699e14 3.49354e14i −0.250556 0.433976i
\(306\) 7.53924e13 + 4.35278e13i 0.0918331 + 0.0530199i
\(307\) 6.74575e14i 0.805750i −0.915255 0.402875i \(-0.868011\pi\)
0.915255 0.402875i \(-0.131989\pi\)
\(308\) 3.69979e14 5.30107e14i 0.433383 0.620954i
\(309\) 1.08946e15 1.25159
\(310\) −1.02407e14 + 1.77375e14i −0.115388 + 0.199858i
\(311\) −5.62583e14 + 3.24807e14i −0.621762 + 0.358974i −0.777555 0.628815i \(-0.783540\pi\)
0.155793 + 0.987790i \(0.450207\pi\)
\(312\) 3.20064e13 + 5.54368e13i 0.0346984 + 0.0600994i
\(313\) −1.00138e15 5.78145e14i −1.06496 0.614853i −0.138157 0.990410i \(-0.544118\pi\)
−0.926799 + 0.375558i \(0.877451\pi\)
\(314\) 1.04787e15i 1.09328i
\(315\) 4.19130e14 1.96224e14i 0.429028 0.200858i
\(316\) 1.29603e13 0.0130164
\(317\) −8.96159e14 + 1.55219e15i −0.883140 + 1.52964i −0.0353083 + 0.999376i \(0.511241\pi\)
−0.847831 + 0.530266i \(0.822092\pi\)
\(318\) −3.18662e14 + 1.83980e14i −0.308154 + 0.177913i
\(319\) −7.63416e14 1.32228e15i −0.724464 1.25481i
\(320\) −1.08988e14 6.29242e13i −0.101503 0.0586028i
\(321\) 9.65909e14i 0.882889i
\(322\) 5.15211e14 + 1.10048e15i 0.462222 + 0.987294i
\(323\) 5.24049e14 0.461484
\(324\) 6.92739e13 1.19986e14i 0.0598824 0.103719i
\(325\) 3.44081e13 1.98655e13i 0.0291985 0.0168578i
\(326\) 1.92867e14 + 3.34056e14i 0.160677 + 0.278300i
\(327\) −1.16265e15 6.71258e14i −0.950963 0.549038i
\(328\) 4.98312e14i 0.400183i
\(329\) 1.05316e15 + 7.35032e14i 0.830458 + 0.579603i
\(330\) 9.12164e14 0.706300
\(331\) −1.33115e14 + 2.30561e14i −0.101218 + 0.175315i −0.912187 0.409775i \(-0.865607\pi\)
0.810969 + 0.585089i \(0.198941\pi\)
\(332\) 8.99565e14 5.19364e14i 0.671744 0.387832i
\(333\) −2.28713e14 3.96142e14i −0.167736 0.290527i
\(334\) −7.99572e14 4.61633e14i −0.575942 0.332520i
\(335\) 9.81759e14i 0.694602i
\(336\) 2.16681e13 2.52106e14i 0.0150586 0.175205i
\(337\) −2.34808e14 −0.160300 −0.0801498 0.996783i \(-0.525540\pi\)
−0.0801498 + 0.996783i \(0.525540\pi\)
\(338\) 4.86125e14 8.41994e14i 0.326023 0.564688i
\(339\) −1.15176e15 + 6.64968e14i −0.758862 + 0.438129i
\(340\) 1.07486e14 + 1.86172e14i 0.0695793 + 0.120515i
\(341\) 7.17771e14 + 4.14405e14i 0.456520 + 0.263572i
\(342\) 8.88747e14i 0.555420i
\(343\) 1.57484e15 + 4.14246e14i 0.967103 + 0.254386i
\(344\) 8.52585e14 0.514502
\(345\) −8.57282e14 + 1.48486e15i −0.508404 + 0.880582i
\(346\) −3.33207e14 + 1.92377e14i −0.194204 + 0.112124i
\(347\) −6.63393e14 1.14903e15i −0.380009 0.658195i 0.611054 0.791589i \(-0.290746\pi\)
−0.991063 + 0.133394i \(0.957413\pi\)
\(348\) −5.17569e14 2.98818e14i −0.291402 0.168241i
\(349\) 2.62751e15i 1.45409i 0.686590 + 0.727045i \(0.259107\pi\)
−0.686590 + 0.727045i \(0.740893\pi\)
\(350\) −1.56475e14 1.34488e13i −0.0851212 0.00731602i
\(351\) 5.52494e14 0.295451
\(352\) −2.54631e14 + 4.41034e14i −0.133862 + 0.231855i
\(353\) 2.19800e15 1.26902e15i 1.13601 0.655873i 0.190567 0.981674i \(-0.438967\pi\)
0.945438 + 0.325801i \(0.105634\pi\)
\(354\) 2.35076e14 + 4.07163e14i 0.119451 + 0.206895i
\(355\) −9.31789e14 5.37968e14i −0.465530 0.268774i
\(356\) 1.29993e15i 0.638589i
\(357\) −2.47376e14 + 3.54442e14i −0.119495 + 0.171213i
\(358\) 8.95016e14 0.425141
\(359\) −5.80208e14 + 1.00495e15i −0.271030 + 0.469437i −0.969126 0.246567i \(-0.920698\pi\)
0.698096 + 0.716004i \(0.254031\pi\)
\(360\) −3.15733e14 + 1.82289e14i −0.145046 + 0.0837423i
\(361\) 1.56834e15 + 2.71644e15i 0.708592 + 1.22732i
\(362\) 9.66936e14 + 5.58261e14i 0.429681 + 0.248077i
\(363\) 2.08186e15i 0.909938i
\(364\) 2.93916e14 1.37603e14i 0.126362 0.0591587i
\(365\) −9.50902e14 −0.402141
\(366\) −3.19481e14 + 5.53357e14i −0.132910 + 0.230207i
\(367\) 1.55002e15 8.94904e14i 0.634367 0.366252i −0.148074 0.988976i \(-0.547307\pi\)
0.782441 + 0.622724i \(0.213974\pi\)
\(368\) −4.78622e14 8.28998e14i −0.192711 0.333785i
\(369\) −1.25018e15 7.21794e14i −0.495240 0.285927i
\(370\) 1.12955e15i 0.440247i
\(371\) 7.90970e14 + 1.68949e15i 0.303331 + 0.647907i
\(372\) 3.24415e14 0.122418
\(373\) 2.39198e15 4.14303e15i 0.888187 1.53838i 0.0461697 0.998934i \(-0.485298\pi\)
0.842017 0.539451i \(-0.181368\pi\)
\(374\) 7.53369e14 4.34958e14i 0.275282 0.158934i
\(375\) −1.02787e15 1.78032e15i −0.369616 0.640194i
\(376\) −8.76197e14 5.05873e14i −0.310081 0.179025i
\(377\) 7.66503e14i 0.266972i
\(378\) −1.79090e15 1.24992e15i −0.613931 0.428482i
\(379\) −1.31568e15 −0.443931 −0.221965 0.975055i \(-0.571247\pi\)
−0.221965 + 0.975055i \(0.571247\pi\)
\(380\) −1.09732e15 + 1.90062e15i −0.364446 + 0.631239i
\(381\) −3.02074e15 + 1.74403e15i −0.987560 + 0.570168i
\(382\) −9.39080e14 1.62653e15i −0.302219 0.523459i
\(383\) −1.31260e15 7.57832e14i −0.415854 0.240093i 0.277448 0.960741i \(-0.410511\pi\)
−0.693302 + 0.720647i \(0.743845\pi\)
\(384\) 1.99337e14i 0.0621728i
\(385\) 3.96006e14 4.60750e15i 0.121601 1.41482i
\(386\) −2.70618e15 −0.818149
\(387\) 1.23495e15 2.13900e15i 0.367607 0.636714i
\(388\) −6.91225e14 + 3.99079e14i −0.202595 + 0.116968i
\(389\) 1.38559e15 + 2.39991e15i 0.399886 + 0.692622i 0.993711 0.111971i \(-0.0357165\pi\)
−0.593826 + 0.804594i \(0.702383\pi\)
\(390\) 3.96576e14 + 2.28963e14i 0.112704 + 0.0650696i
\(391\) 1.63515e15i 0.457612i
\(392\) −1.26402e15 2.18898e14i −0.348368 0.0603290i
\(393\) 4.18214e15 1.13512
\(394\) −1.19532e15 + 2.07036e15i −0.319527 + 0.553438i
\(395\) 8.02921e13 4.63567e13i 0.0211393 0.0122048i
\(396\) 7.37656e14 + 1.27766e15i 0.191286 + 0.331317i
\(397\) 3.04662e15 + 1.75897e15i 0.778172 + 0.449278i 0.835782 0.549062i \(-0.185015\pi\)
−0.0576103 + 0.998339i \(0.518348\pi\)
\(398\) 3.46064e15i 0.870679i
\(399\) −4.39642e15 3.77865e14i −1.08959 0.0936482i
\(400\) 1.23723e14 0.0302058
\(401\) −2.45890e15 + 4.25894e15i −0.591391 + 1.02432i 0.402655 + 0.915352i \(0.368087\pi\)
−0.994045 + 0.108967i \(0.965246\pi\)
\(402\) 1.34671e15 7.77526e14i 0.319094 0.184229i
\(403\) 2.08041e14 + 3.60337e14i 0.0485644 + 0.0841160i
\(404\) −4.85640e12 2.80384e12i −0.00111693 0.000644860i
\(405\) 9.91123e14i 0.224594i
\(406\) −1.73408e15 + 2.48460e15i −0.387180 + 0.554754i
\(407\) −4.57089e15 −1.00562
\(408\) 1.70252e14 2.94886e14i 0.0369090 0.0639282i
\(409\) 2.52087e15 1.45543e15i 0.538532 0.310921i −0.205952 0.978562i \(-0.566029\pi\)
0.744484 + 0.667641i \(0.232696\pi\)
\(410\) −1.78238e15 3.08717e15i −0.375229 0.649915i
\(411\) 3.61569e15 + 2.08752e15i 0.750136 + 0.433091i
\(412\) 4.35120e15i 0.889663i
\(413\) 2.15871e15 1.01064e15i 0.435004 0.203656i
\(414\) −2.77310e15 −0.550760
\(415\) 3.71535e15 6.43518e15i 0.727296 1.25971i
\(416\) −2.21409e14 + 1.27830e14i −0.0427204 + 0.0246646i
\(417\) 3.19789e15 + 5.53890e15i 0.608201 + 1.05343i
\(418\) 7.69111e15 + 4.44046e15i 1.44189 + 0.832474i
\(419\) 1.87176e14i 0.0345912i 0.999850 + 0.0172956i \(0.00550564\pi\)
−0.999850 + 0.0172956i \(0.994494\pi\)
\(420\) −7.67500e14 1.63936e15i −0.139824 0.298661i
\(421\) −2.95025e15 −0.529866 −0.264933 0.964267i \(-0.585350\pi\)
−0.264933 + 0.964267i \(0.585350\pi\)
\(422\) 1.17062e15 2.02757e15i 0.207272 0.359006i
\(423\) −2.53830e15 + 1.46549e15i −0.443100 + 0.255824i
\(424\) −7.34797e14 1.27271e15i −0.126466 0.219045i
\(425\) −1.83028e14 1.05671e14i −0.0310587 0.0179317i
\(426\) 1.70422e15i 0.285147i
\(427\) 2.65640e15 + 1.85399e15i 0.438254 + 0.305871i
\(428\) 3.85774e15 0.627582
\(429\) 9.26530e14 1.60480e15i 0.148633 0.257440i
\(430\) 5.28197e15 3.04955e15i 0.835575 0.482420i
\(431\) 9.33046e14 + 1.61608e15i 0.145559 + 0.252116i 0.929581 0.368617i \(-0.120169\pi\)
−0.784022 + 0.620733i \(0.786835\pi\)
\(432\) 1.48997e15 + 8.60237e14i 0.229233 + 0.132348i
\(433\) 6.43623e15i 0.976572i −0.872684 0.488286i \(-0.837622\pi\)
0.872684 0.488286i \(-0.162378\pi\)
\(434\) 1.40842e14 1.63868e15i 0.0210762 0.245220i
\(435\) −4.27529e15 −0.631001
\(436\) 2.68094e15 4.64352e15i 0.390272 0.675971i
\(437\) −1.44567e16 + 8.34659e15i −2.07578 + 1.19845i
\(438\) 7.53088e14 + 1.30439e15i 0.106660 + 0.184740i
\(439\) 3.66616e15 + 2.11666e15i 0.512181 + 0.295708i 0.733730 0.679441i \(-0.237778\pi\)
−0.221548 + 0.975149i \(0.571111\pi\)
\(440\) 3.64309e15i 0.502058i
\(441\) −2.38009e15 + 2.85416e15i −0.323565 + 0.388013i
\(442\) 4.36717e14 0.0585688
\(443\) 3.53638e15 6.12518e15i 0.467882 0.810395i −0.531445 0.847093i \(-0.678351\pi\)
0.999326 + 0.0366980i \(0.0116840\pi\)
\(444\) −1.54945e15 + 8.94575e14i −0.202246 + 0.116767i
\(445\) 4.64964e15 + 8.05342e15i 0.598769 + 1.03710i
\(446\) 2.38226e15 + 1.37540e15i 0.302677 + 0.174751i
\(447\) 2.99319e15i 0.375223i
\(448\) 1.00689e15 + 8.65401e13i 0.124541 + 0.0107041i
\(449\) −7.31324e15 −0.892549 −0.446274 0.894896i \(-0.647249\pi\)
−0.446274 + 0.894896i \(0.647249\pi\)
\(450\) 1.79210e14 3.10401e14i 0.0215818 0.0373808i
\(451\) −1.24926e16 + 7.21262e15i −1.48455 + 0.857105i
\(452\) −2.65581e15 4.60000e15i −0.311435 0.539421i
\(453\) 3.60708e15 + 2.08255e15i 0.417414 + 0.240994i
\(454\) 7.32188e15i 0.836156i
\(455\) 1.32870e15 1.90377e15i 0.149747 0.214559i
\(456\) 3.47620e15 0.386647
\(457\) 6.51453e15 1.12835e16i 0.715131 1.23864i −0.247777 0.968817i \(-0.579700\pi\)
0.962909 0.269827i \(-0.0869665\pi\)
\(458\) 3.37690e15 1.94966e15i 0.365869 0.211235i
\(459\) −1.46945e15 2.54516e15i −0.157137 0.272169i
\(460\) −5.93037e15 3.42390e15i −0.625943 0.361388i
\(461\) 2.39251e15i 0.249257i 0.992203 + 0.124629i \(0.0397739\pi\)
−0.992203 + 0.124629i \(0.960226\pi\)
\(462\) −6.63389e15 + 3.10579e15i −0.682208 + 0.319389i
\(463\) 7.43873e15 0.755115 0.377557 0.925986i \(-0.376764\pi\)
0.377557 + 0.925986i \(0.376764\pi\)
\(464\) 1.19345e15 2.06712e15i 0.119590 0.207137i
\(465\) 2.00983e15 1.16038e15i 0.198812 0.114784i
\(466\) −3.52142e15 6.09927e15i −0.343876 0.595611i
\(467\) −2.18404e15 1.26096e15i −0.210552 0.121562i 0.391016 0.920384i \(-0.372124\pi\)
−0.601568 + 0.798822i \(0.705457\pi\)
\(468\) 7.40639e14i 0.0704906i
\(469\) −3.34275e15 7.14004e15i −0.314100 0.670909i
\(470\) −7.23768e15 −0.671448
\(471\) −5.93672e15 + 1.02827e16i −0.543777 + 0.941850i
\(472\) −1.62617e15 + 9.38869e14i −0.147067 + 0.0849089i
\(473\) −1.23404e16 2.13742e16i −1.10195 1.90864i
\(474\) −1.27178e14 7.34264e13i −0.0112135 0.00647414i
\(475\) 2.15758e15i 0.187848i
\(476\) −1.41561e15 9.87995e14i −0.121703 0.0849402i
\(477\) −4.25735e15 −0.361434
\(478\) 4.83018e15 8.36612e15i 0.404945 0.701385i
\(479\) 2.43833e15 1.40777e15i 0.201873 0.116552i −0.395656 0.918399i \(-0.629483\pi\)
0.597529 + 0.801847i \(0.296149\pi\)
\(480\) 7.12994e14 + 1.23494e15i 0.0582960 + 0.100972i
\(481\) −1.98726e15 1.14734e15i −0.160466 0.0926452i
\(482\) 5.22153e15i 0.416404i
\(483\) 1.17903e15 1.37178e16i 0.0928625 1.08045i
\(484\) 8.31474e15 0.646810
\(485\) −2.85487e15 + 4.94479e15i −0.219349 + 0.379924i
\(486\) 7.18400e15 4.14769e15i 0.545191 0.314766i
\(487\) 1.11137e16 + 1.92494e16i 0.833074 + 1.44293i 0.895589 + 0.444883i \(0.146755\pi\)
−0.0625147 + 0.998044i \(0.519912\pi\)
\(488\) −2.21005e15 1.27597e15i −0.163638 0.0944762i
\(489\) 4.37076e15i 0.319671i
\(490\) −8.61390e15 + 3.16506e15i −0.622334 + 0.228668i
\(491\) 2.73159e16 1.94952 0.974758 0.223265i \(-0.0716714\pi\)
0.974758 + 0.223265i \(0.0716714\pi\)
\(492\) −2.82318e15 + 4.88990e15i −0.199044 + 0.344754i
\(493\) −3.53102e15 + 2.03864e15i −0.245934 + 0.141990i
\(494\) 2.22921e15 + 3.86110e15i 0.153387 + 0.265674i
\(495\) 9.13992e15 + 5.27694e15i 0.621314 + 0.358716i
\(496\) 1.29568e15i 0.0870179i
\(497\) 8.60833e15 + 7.39871e14i 0.571190 + 0.0490928i
\(498\) −1.17698e16 −0.771603
\(499\) −9.95390e15 + 1.72407e16i −0.644748 + 1.11674i 0.339612 + 0.940566i \(0.389704\pi\)
−0.984360 + 0.176171i \(0.943629\pi\)
\(500\) 7.11043e15 4.10521e15i 0.455068 0.262733i
\(501\) 5.23076e15 + 9.05994e15i 0.330779 + 0.572927i
\(502\) 1.25915e16 + 7.26971e15i 0.786784 + 0.454250i
\(503\) 6.87587e15i 0.424541i −0.977211 0.212271i \(-0.931914\pi\)
0.977211 0.212271i \(-0.0680858\pi\)
\(504\) 1.67557e15 2.40076e15i 0.102230 0.146476i
\(505\) −4.01154e13 −0.00241860
\(506\) −1.38553e16 + 2.39980e16i −0.825490 + 1.42979i
\(507\) −9.54063e15 + 5.50828e15i −0.561732 + 0.324316i
\(508\) −6.96546e15 1.20645e16i −0.405292 0.701986i
\(509\) −6.71112e15 3.87467e15i −0.385912 0.222807i 0.294475 0.955659i \(-0.404855\pi\)
−0.680387 + 0.732853i \(0.738188\pi\)
\(510\) 2.43585e15i 0.138430i
\(511\) 6.91562e15 3.23769e15i 0.388424 0.181849i
\(512\) −7.96131e14 −0.0441942
\(513\) 1.50015e16 2.59834e16i 0.823058 1.42558i
\(514\) −1.34085e16 + 7.74138e15i −0.727110 + 0.419797i
\(515\) 1.55635e16 + 2.69567e16i 0.834187 + 1.44485i
\(516\) −8.36635e15 4.83032e15i −0.443239 0.255904i
\(517\) 2.92882e16i 1.53373i
\(518\) 3.84597e15 + 8.21490e15i 0.199080 + 0.425230i
\(519\) 4.35965e15 0.223073
\(520\) −9.14455e14 + 1.58388e15i −0.0462533 + 0.0801130i
\(521\) 2.06740e16 1.19361e16i 1.03371 0.596811i 0.115662 0.993289i \(-0.463101\pi\)
0.918044 + 0.396478i \(0.129768\pi\)
\(522\) −3.45737e15 5.98835e15i −0.170893 0.295995i
\(523\) −1.80842e16 1.04409e16i −0.883670 0.510187i −0.0118030 0.999930i \(-0.503757\pi\)
−0.871867 + 0.489743i \(0.837090\pi\)
\(524\) 1.67031e16i 0.806878i
\(525\) 1.45929e15 + 1.01848e15i 0.0696923 + 0.0486405i
\(526\) 4.66814e15 0.220409
\(527\) 1.10663e15 1.91675e15i 0.0516583 0.0894748i
\(528\) 4.99736e15 2.88522e15i 0.230641 0.133161i
\(529\) −1.50860e16 2.61297e16i −0.688398 1.19234i
\(530\) −9.10450e15 5.25648e15i −0.410772 0.237159i
\(531\) 5.43973e15i 0.242667i
\(532\) 1.50915e15 1.75589e16i 0.0665678 0.774509i
\(533\) −7.24179e15 −0.315851
\(534\) 7.36477e15 1.27562e16i 0.317623 0.550139i
\(535\) 2.38997e16 1.37985e16i 1.01922 0.588449i
\(536\) 3.10536e15 + 5.37864e15i 0.130955 + 0.226821i
\(537\) −8.78273e15 5.07071e15i −0.366255 0.211457i
\(538\) 2.12155e16i 0.874903i
\(539\) 1.28079e16 + 3.48573e16i 0.522328 + 1.42155i
\(540\) 1.23077e16 0.496380
\(541\) −1.60100e16 + 2.77302e16i −0.638569 + 1.10603i 0.347177 + 0.937799i \(0.387140\pi\)
−0.985747 + 0.168235i \(0.946193\pi\)
\(542\) 1.71119e16 9.87954e15i 0.674996 0.389709i
\(543\) −6.32565e15 1.09564e16i −0.246778 0.427432i
\(544\) 1.17774e15 + 6.79971e14i 0.0454420 + 0.0262359i
\(545\) 3.83570e16i 1.46375i
\(546\) −3.66376e15 3.14894e14i −0.138284 0.0118853i
\(547\) −3.33242e16 −1.24404 −0.622022 0.783000i \(-0.713688\pi\)
−0.622022 + 0.783000i \(0.713688\pi\)
\(548\) −8.33734e15 + 1.44407e16i −0.307854 + 0.533218i
\(549\) −6.40242e15 + 3.69644e15i −0.233835 + 0.135005i
\(550\) −1.79078e15 3.10173e15i −0.0646944 0.112054i
\(551\) −3.60480e16 2.08123e16i −1.28817 0.743723i
\(552\) 1.08465e16i 0.383404i
\(553\) −4.26102e14 + 6.10522e14i −0.0148992 + 0.0213477i
\(554\) 8.93503e15 0.309056
\(555\) −6.39948e15 + 1.10842e16i −0.218971 + 0.379269i
\(556\) −2.21218e16 + 1.27720e16i −0.748811 + 0.432326i
\(557\) −1.50168e15 2.60098e15i −0.0502857 0.0870975i 0.839787 0.542916i \(-0.182680\pi\)
−0.890073 + 0.455819i \(0.849347\pi\)
\(558\) 3.25066e15 + 1.87677e15i 0.107688 + 0.0621735i
\(559\) 1.23903e16i 0.406080i
\(560\) 6.54744e15 3.06532e15i 0.212297 0.0993911i
\(561\) −9.85701e15 −0.316204
\(562\) 1.87821e15 3.25315e15i 0.0596109 0.103249i
\(563\) 2.59585e16 1.49872e16i 0.815135 0.470618i −0.0336009 0.999435i \(-0.510698\pi\)
0.848736 + 0.528817i \(0.177364\pi\)
\(564\) 5.73204e15 + 9.92818e15i 0.178088 + 0.308457i
\(565\) −3.29068e16 1.89988e16i −1.01157 0.584030i
\(566\) 3.21107e16i 0.976677i
\(567\) 3.37464e15 + 7.20814e15i 0.101561 + 0.216933i
\(568\) −6.80650e15 −0.202691
\(569\) 1.35760e16 2.35144e16i 0.400037 0.692884i −0.593693 0.804691i \(-0.702331\pi\)
0.993730 + 0.111808i \(0.0356641\pi\)
\(570\) 2.15359e16 1.24338e16i 0.627934 0.362538i
\(571\) −3.50961e15 6.07881e15i −0.101261 0.175389i 0.810944 0.585124i \(-0.198954\pi\)
−0.912204 + 0.409735i \(0.865621\pi\)
\(572\) 6.40939e15 + 3.70046e15i 0.182996 + 0.105653i
\(573\) 2.12814e16i 0.601274i
\(574\) 2.34741e16 + 1.63833e16i 0.656322 + 0.458068i
\(575\) 6.73215e15 0.186272
\(576\) −1.15318e15 + 1.99736e15i −0.0315763 + 0.0546918i
\(577\) −4.43026e16 + 2.55781e16i −1.20053 + 0.693129i −0.960674 0.277679i \(-0.910435\pi\)
−0.239860 + 0.970807i \(0.577102\pi\)
\(578\) 1.20217e16 + 2.08222e16i 0.322403 + 0.558419i
\(579\) 2.65555e16 + 1.53318e16i 0.704828 + 0.406933i
\(580\) 1.70751e16i 0.448533i
\(581\) −5.10974e15 + 5.94514e16i −0.132844 + 1.54563i
\(582\) 9.04392e15 0.232712
\(583\) −2.12711e16 + 3.68426e16i −0.541724 + 0.938293i
\(584\) −5.20959e15 + 3.00776e15i −0.131319 + 0.0758168i
\(585\) 2.64914e15 + 4.58844e15i 0.0660951 + 0.114480i
\(586\) 7.48106e15 + 4.31919e15i 0.184747 + 0.106664i
\(587\) 2.97094e16i 0.726216i −0.931747 0.363108i \(-0.881716\pi\)
0.931747 0.363108i \(-0.118284\pi\)
\(588\) 1.11636e16 + 9.30935e15i 0.270110 + 0.225245i
\(589\) 2.25951e16 0.541157
\(590\) −6.71635e15 + 1.16331e16i −0.159229 + 0.275792i
\(591\) 2.34592e16 1.35442e16i 0.550540 0.317855i
\(592\) −3.57284e15 6.18834e15i −0.0830010 0.143762i
\(593\) 4.00972e16 + 2.31501e16i 0.922116 + 0.532384i 0.884309 0.466901i \(-0.154630\pi\)
0.0378064 + 0.999285i \(0.487963\pi\)
\(594\) 4.98047e16i 1.13384i
\(595\) −1.23039e16 1.05750e15i −0.277295 0.0238330i
\(596\) 1.19545e16 0.266719
\(597\) −1.96063e16 + 3.39590e16i −0.433060 + 0.750083i
\(598\) −1.20475e16 + 6.95564e15i −0.263446 + 0.152100i
\(599\) −2.05859e16 3.56558e16i −0.445664 0.771914i 0.552434 0.833557i \(-0.313699\pi\)
−0.998098 + 0.0616433i \(0.980366\pi\)
\(600\) −1.21409e15 7.00953e14i −0.0260221 0.0150239i
\(601\) 1.89158e15i 0.0401402i 0.999799 + 0.0200701i \(0.00638893\pi\)
−0.999799 + 0.0200701i \(0.993611\pi\)
\(602\) −2.80309e16 + 4.01629e16i −0.588923 + 0.843812i
\(603\) 1.79922e16 0.374266
\(604\) −8.31749e15 + 1.44063e16i −0.171305 + 0.296709i
\(605\) 5.15119e16 2.97404e16i 1.05045 0.606478i
\(606\) 3.17703e13 + 5.50278e13i 0.000641484 + 0.00111108i
\(607\) 7.45528e15 + 4.30431e15i 0.149050 + 0.0860541i 0.572670 0.819786i \(-0.305908\pi\)
−0.423620 + 0.905840i \(0.639241\pi\)
\(608\) 1.38836e16i 0.274840i
\(609\) 3.10929e16 1.45568e16i 0.609477 0.285339i
\(610\) −1.82557e16 −0.354340
\(611\) −7.35167e15 + 1.27335e16i −0.141299 + 0.244737i
\(612\) 3.41187e15 1.96985e15i 0.0649358 0.0374907i
\(613\) 7.75623e15 + 1.34342e16i 0.146180 + 0.253191i 0.929813 0.368033i \(-0.119969\pi\)
−0.783633 + 0.621225i \(0.786635\pi\)
\(614\) −2.64378e16 1.52639e16i −0.493419 0.284876i
\(615\) 4.03922e16i 0.746529i
\(616\) −1.24042e16 2.64951e16i −0.227031 0.484932i
\(617\) 6.49218e16 1.17674 0.588368 0.808593i \(-0.299770\pi\)
0.588368 + 0.808593i \(0.299770\pi\)
\(618\) 2.46517e16 4.26980e16i 0.442503 0.766437i
\(619\) 3.01581e16 1.74118e16i 0.536117 0.309527i −0.207387 0.978259i \(-0.566496\pi\)
0.743504 + 0.668732i \(0.233163\pi\)
\(620\) 4.63443e15 + 8.02707e15i 0.0815918 + 0.141321i
\(621\) 8.10741e16 + 4.68081e16i 1.41362 + 0.816153i
\(622\) 2.93982e16i 0.507666i
\(623\) −6.12362e16 4.27387e16i −1.04732 0.730959i
\(624\) 2.89689e15 0.0490710
\(625\) 2.57664e16 4.46288e16i 0.432289 0.748747i
\(626\) −4.53172e16 + 2.61639e16i −0.753038 + 0.434766i
\(627\) −5.03148e16 8.71479e16i −0.828115 1.43434i
\(628\) −4.10681e16 2.37107e16i −0.669494 0.386532i
\(629\) 1.22062e16i 0.197095i
\(630\) 1.79344e15 2.08665e16i 0.0286843 0.333739i
\(631\) −6.99817e16 −1.10869 −0.554343 0.832289i \(-0.687030\pi\)
−0.554343 + 0.832289i \(0.687030\pi\)
\(632\) 2.93257e14 5.07937e14i 0.00460200 0.00797090i
\(633\) −2.29744e16 + 1.32643e16i −0.357126 + 0.206187i
\(634\) 4.05555e16 + 7.02442e16i 0.624474 + 1.08162i
\(635\) −8.63055e16 4.98285e16i −1.31643 0.760039i
\(636\) 1.66520e16i 0.251607i
\(637\) −3.18117e15 + 1.83696e16i −0.0476157 + 0.274956i
\(638\) −6.90965e16 −1.02455
\(639\) −9.85906e15 + 1.70764e16i −0.144821 + 0.250837i
\(640\) −4.93223e15 + 2.84763e15i −0.0717734 + 0.0414384i
\(641\) −8.26267e15 1.43114e16i −0.119117 0.206316i 0.800301 0.599598i \(-0.204673\pi\)
−0.919418 + 0.393282i \(0.871340\pi\)
\(642\) −3.78557e16 2.18560e16i −0.540657 0.312148i
\(643\) 2.58392e16i 0.365605i −0.983150 0.182803i \(-0.941483\pi\)
0.983150 0.182803i \(-0.0585170\pi\)
\(644\) 5.47877e16 + 4.70891e15i 0.768011 + 0.0660093i
\(645\) −6.91088e16 −0.959788
\(646\) 1.18579e16 2.05384e16i 0.163159 0.282600i
\(647\) 8.66866e16 5.00485e16i 1.18175 0.682284i 0.225332 0.974282i \(-0.427653\pi\)
0.956419 + 0.291998i \(0.0943199\pi\)
\(648\) −3.13498e15 5.42994e15i −0.0423433 0.0733407i
\(649\) 4.70747e16 + 2.71786e16i 0.629969 + 0.363713i
\(650\) 1.79802e15i 0.0238405i
\(651\) −1.06660e16 + 1.52823e16i −0.140125 + 0.200772i
\(652\) 1.74564e16 0.227231
\(653\) −1.53565e16 + 2.65983e16i −0.198068 + 0.343064i −0.947902 0.318562i \(-0.896800\pi\)
0.749834 + 0.661626i \(0.230133\pi\)
\(654\) −5.26156e16 + 3.03777e16i −0.672432 + 0.388229i
\(655\) 5.97440e16 + 1.03480e17i 0.756565 + 1.31041i
\(656\) −1.95298e16 1.12755e16i −0.245061 0.141486i
\(657\) 1.74267e16i 0.216682i
\(658\) 5.26375e16 2.46433e16i 0.648544 0.303629i
\(659\) 1.64417e16 0.200740 0.100370 0.994950i \(-0.467997\pi\)
0.100370 + 0.994950i \(0.467997\pi\)
\(660\) 2.06399e16 3.57494e16i 0.249715 0.432519i
\(661\) −6.43528e16 + 3.71541e16i −0.771540 + 0.445449i −0.833424 0.552635i \(-0.813623\pi\)
0.0618837 + 0.998083i \(0.480289\pi\)
\(662\) 6.02408e15 + 1.04340e16i 0.0715719 + 0.123966i
\(663\) −4.28547e15 2.47422e15i −0.0504565 0.0291311i
\(664\) 4.70075e16i 0.548477i
\(665\) −5.34555e16 1.14180e17i −0.618105 1.32026i
\(666\) −2.07007e16 −0.237214
\(667\) 6.49392e16 1.12478e17i 0.737483 1.27736i
\(668\) −3.61845e16 + 2.08911e16i −0.407252 + 0.235127i
\(669\) −1.55846e16 2.69934e16i −0.173836 0.301093i
\(670\) 3.84770e16 + 2.22147e16i 0.425355 + 0.245579i
\(671\) 7.38743e16i 0.809391i
\(672\) −9.39020e15 6.55372e15i −0.101967 0.0711659i
\(673\) 1.00460e17 1.08119 0.540596 0.841283i \(-0.318199\pi\)
0.540596 + 0.841283i \(0.318199\pi\)
\(674\) −5.31309e15 + 9.20254e15i −0.0566745 + 0.0981631i
\(675\) −1.04788e16 + 6.04992e15i −0.110787 + 0.0639627i
\(676\) −2.19995e16 3.81043e16i −0.230533 0.399295i
\(677\) −2.84629e16 1.64330e16i −0.295629 0.170681i 0.344849 0.938658i \(-0.387930\pi\)
−0.640477 + 0.767977i \(0.721264\pi\)
\(678\) 6.01860e16i 0.619608i
\(679\) 3.92632e15 4.56824e16i 0.0400652 0.466155i
\(680\) 9.72855e15 0.0983999
\(681\) 4.14821e16 7.18490e16i 0.415889 0.720341i
\(682\) 3.24826e16 1.87538e16i 0.322808 0.186373i
\(683\) −2.00945e16 3.48046e16i −0.197949 0.342857i 0.749915 0.661535i \(-0.230095\pi\)
−0.947863 + 0.318678i \(0.896761\pi\)
\(684\) 3.48316e16 + 2.01101e16i 0.340124 + 0.196371i
\(685\) 1.19285e17i 1.15463i
\(686\) 5.18697e16 5.23477e16i 0.497701 0.502288i
\(687\) −4.41831e16 −0.420258
\(688\) 1.92918e16 3.34144e16i 0.181904 0.315067i
\(689\) −1.84958e16 + 1.06785e16i −0.172885 + 0.0998152i
\(690\) 3.87962e16 + 6.71969e16i 0.359496 + 0.622666i
\(691\) 1.38373e17 + 7.98899e16i 1.27111 + 0.733878i 0.975198 0.221336i \(-0.0710418\pi\)
0.295916 + 0.955214i \(0.404375\pi\)
\(692\) 1.74120e16i 0.158567i
\(693\) −8.44391e16 7.25740e15i −0.762332 0.0655212i
\(694\) −6.00435e16 −0.537414
\(695\) −9.13668e16 + 1.58252e17i −0.810736 + 1.40424i
\(696\) −2.34225e16 + 1.35230e16i −0.206052 + 0.118964i
\(697\) 1.92607e16 + 3.33605e16i 0.167987 + 0.290961i
\(698\) 1.02977e17 + 5.94537e16i 0.890444 + 0.514098i
\(699\) 7.98023e16i 0.684152i
\(700\) −4.06772e15 + 5.82824e15i −0.0345750 + 0.0495393i
\(701\) 1.35098e17 1.13852 0.569262 0.822156i \(-0.307229\pi\)
0.569262 + 0.822156i \(0.307229\pi\)
\(702\) 1.25015e16 2.16533e16i 0.104458 0.180926i
\(703\) −1.07917e17 + 6.23060e16i −0.894044 + 0.516176i
\(704\) 1.15233e16 + 1.99589e16i 0.0946544 + 0.163946i
\(705\) 7.10228e16 + 4.10050e16i 0.578447 + 0.333966i
\(706\) 1.14858e17i 0.927544i
\(707\) 2.91748e14 1.36588e14i 0.00233610 0.00109369i
\(708\) 2.12766e16 0.168929
\(709\) 3.51496e15 6.08809e15i 0.0276722 0.0479296i −0.851858 0.523773i \(-0.824524\pi\)
0.879530 + 0.475844i \(0.157857\pi\)
\(710\) −4.21679e16 + 2.43457e16i −0.329179 + 0.190052i
\(711\) −8.49554e14 1.47147e15i −0.00657618 0.0113903i
\(712\) 5.09468e16 + 2.94141e16i 0.391054 + 0.225775i
\(713\) 7.05020e16i 0.536617i
\(714\) 8.29375e15 + 1.77152e16i 0.0625981 + 0.133708i
\(715\) 5.29437e16 0.396258
\(716\) 2.02519e16 3.50773e16i 0.150310 0.260344i
\(717\) −9.47964e16 + 5.47307e16i −0.697713 + 0.402825i
\(718\) 2.62572e16 + 4.54788e16i 0.191647 + 0.331942i
\(719\) −1.36454e17 7.87819e16i −0.987675 0.570234i −0.0830962 0.996542i \(-0.526481\pi\)
−0.904578 + 0.426307i \(0.859814\pi\)
\(720\) 1.64989e16i 0.118430i
\(721\) −2.04973e17 1.43057e17i −1.45910 1.01835i
\(722\) 1.41950e17 1.00210
\(723\) 2.95825e16 5.12385e16i 0.207112 0.358729i
\(724\) 4.37585e16 2.52640e16i 0.303831 0.175417i
\(725\) 8.39335e15 + 1.45377e16i 0.0577973 + 0.100108i
\(726\) −8.15920e16 4.71071e16i −0.557221 0.321712i
\(727\) 1.73285e17i 1.17370i −0.809697 0.586848i \(-0.800369\pi\)
0.809697 0.586848i \(-0.199631\pi\)
\(728\) 1.25766e15 1.46327e16i 0.00844838 0.0982961i
\(729\) −1.29947e17 −0.865767
\(730\) −2.15165e16 + 3.72676e16i −0.142178 + 0.246260i
\(731\) −5.70780e16 + 3.29540e16i −0.374080 + 0.215975i
\(732\) 1.44580e16 + 2.50421e16i 0.0939816 + 0.162781i
\(733\) 1.32918e17 + 7.67401e16i 0.856957 + 0.494764i 0.862992 0.505217i \(-0.168588\pi\)
−0.00603505 + 0.999982i \(0.501921\pi\)
\(734\) 8.09975e16i 0.517959i
\(735\) 1.02459e17 + 1.77435e16i 0.649871 + 0.112542i
\(736\) −4.33199e16 −0.272534
\(737\) 8.98946e16 1.55702e17i 0.560956 0.971604i
\(738\) −5.65768e16 + 3.26647e16i −0.350187 + 0.202181i
\(739\) −7.76288e16 1.34457e17i −0.476602 0.825499i 0.523038 0.852309i \(-0.324798\pi\)
−0.999641 + 0.0268099i \(0.991465\pi\)
\(740\) −4.42693e16 2.55589e16i −0.269595 0.155651i
\(741\) 5.05183e16i 0.305168i
\(742\) 8.41119e16 + 7.22927e15i 0.504004 + 0.0433183i
\(743\) −1.55426e17 −0.923830 −0.461915 0.886924i \(-0.652838\pi\)
−0.461915 + 0.886924i \(0.652838\pi\)
\(744\) 7.34068e15 1.27144e16i 0.0432812 0.0749652i
\(745\) 7.40610e16 4.27592e16i 0.433164 0.250087i
\(746\) −1.08249e17 1.87492e17i −0.628043 1.08780i
\(747\) −1.17934e17 6.80893e16i −0.678759 0.391882i
\(748\) 3.93679e16i 0.224767i
\(749\) −1.26833e17 + 1.81727e17i −0.718360 + 1.02927i
\(750\) −9.30322e16 −0.522716
\(751\) 1.48252e17 2.56780e17i 0.826344 1.43127i −0.0745445 0.997218i \(-0.523750\pi\)
0.900888 0.434051i \(-0.142916\pi\)
\(752\) −3.96522e16 + 2.28932e16i −0.219260 + 0.126590i
\(753\) −8.23731e16 1.42674e17i −0.451872 0.782665i
\(754\) −3.00407e16 1.73440e16i −0.163486 0.0943889i
\(755\) 1.19001e17i 0.642493i
\(756\) −8.95101e16 + 4.19060e16i −0.479448 + 0.224463i