Properties

Label 29.9.f.a.2.2
Level $29$
Weight $9$
Character 29.2
Analytic conductor $11.814$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.8139796918\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(19\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-24.5490 - 2.76601i) q^{2} +(-135.176 - 84.9370i) q^{3} +(345.422 + 78.8403i) q^{4} +(-399.043 + 318.226i) q^{5} +(3083.51 + 2459.02i) q^{6} +(40.6060 + 177.907i) q^{7} +(-2292.28 - 802.105i) q^{8} +(8211.67 + 17051.7i) q^{9} +O(q^{10})\) \(q+(-24.5490 - 2.76601i) q^{2} +(-135.176 - 84.9370i) q^{3} +(345.422 + 78.8403i) q^{4} +(-399.043 + 318.226i) q^{5} +(3083.51 + 2459.02i) q^{6} +(40.6060 + 177.907i) q^{7} +(-2292.28 - 802.105i) q^{8} +(8211.67 + 17051.7i) q^{9} +(10676.3 - 6708.39i) q^{10} +(-20215.0 + 7073.52i) q^{11} +(-39996.5 - 39996.5i) q^{12} +(1918.80 - 3984.42i) q^{13} +(-504.747 - 4479.75i) q^{14} +(80970.4 - 9123.18i) q^{15} +(-27665.1 - 13322.8i) q^{16} +(21641.2 - 21641.2i) q^{17} +(-154423. - 441316. i) q^{18} +(32149.0 + 51164.9i) q^{19} +(-162927. + 78461.7i) q^{20} +(9621.87 - 27497.7i) q^{21} +(515823. - 117733. i) q^{22} +(-275389. + 345326. i) q^{23} +(241735. + 303126. i) q^{24} +(-28954.8 + 126859. i) q^{25} +(-58125.5 + 92506.2i) q^{26} +(221020. - 1.96161e6i) q^{27} +64654.3i q^{28} +(-587477. + 393849. i) q^{29} -2.01298e6 q^{30} +(-1.06024e6 - 119460. i) q^{31} +(1.16872e6 + 734355. i) q^{32} +(3.33339e6 + 760825. i) q^{33} +(-591131. + 471411. i) q^{34} +(-72818.1 - 58070.5i) q^{35} +(1.49213e6 + 6.53745e6i) q^{36} +(1.72813e6 + 604698. i) q^{37} +(-647705. - 1.34497e6i) q^{38} +(-597801. + 375623. i) q^{39} +(1.16997e6 - 409391. i) q^{40} +(1.18704e6 + 1.18704e6i) q^{41} +(-312267. + 648428. i) q^{42} +(-593940. - 5.27136e6i) q^{43} +(-7.54037e6 + 849596. i) q^{44} +(-8.70311e6 - 4.19120e6i) q^{45} +(7.71570e6 - 7.71570e6i) q^{46} +(-1.04726e6 - 2.99290e6i) q^{47} +(2.60807e6 + 4.15072e6i) q^{48} +(5.16390e6 - 2.48681e6i) q^{49} +(1.06170e6 - 3.03418e6i) q^{50} +(-4.76353e6 + 1.08724e6i) q^{51} +(976928. - 1.22503e6i) q^{52} +(-3.26236e6 - 4.09087e6i) q^{53} +(-1.08517e7 + 4.75443e7i) q^{54} +(5.81566e6 - 9.25557e6i) q^{55} +(49619.2 - 440383. i) q^{56} -9.64693e6i q^{57} +(1.55114e7 - 8.04365e6i) q^{58} -1.03572e7 q^{59} +(2.86882e7 + 3.23239e6i) q^{60} +(-5.71826e6 - 3.59302e6i) q^{61} +(2.56975e7 + 5.86528e6i) q^{62} +(-2.70017e6 + 2.15331e6i) q^{63} +(-2.05139e7 - 1.63593e7i) q^{64} +(502265. + 2.20057e6i) q^{65} +(-7.97270e7 - 2.78977e7i) q^{66} +(5.85423e6 + 1.21564e7i) q^{67} +(9.18156e6 - 5.76916e6i) q^{68} +(6.65571e7 - 2.32893e7i) q^{69} +(1.62699e6 + 1.62699e6i) q^{70} +(-1.91533e7 + 3.97722e7i) q^{71} +(-5.14622e6 - 4.56740e7i) q^{72} +(-3.23600e6 + 364609. i) q^{73} +(-4.07512e7 - 1.96247e7i) q^{74} +(1.46890e7 - 1.46890e7i) q^{75} +(7.07113e6 + 2.02081e7i) q^{76} +(-2.07928e6 - 3.30915e6i) q^{77} +(1.57144e7 - 7.56766e6i) q^{78} +(1.29876e7 - 3.71166e7i) q^{79} +(1.52792e7 - 3.48739e6i) q^{80} +(-1.19069e8 + 1.49308e8i) q^{81} +(-2.58574e7 - 3.24242e7i) q^{82} +(1.24899e7 - 5.47220e7i) q^{83} +(5.49154e6 - 8.73973e6i) q^{84} +(-1.74898e6 + 1.55226e7i) q^{85} +1.31050e8i q^{86} +(1.12865e8 - 3.34063e6i) q^{87} +5.20122e7 q^{88} +(2.84528e7 + 3.20586e6i) q^{89} +(2.02060e8 + 1.26963e8i) q^{90} +(786769. + 179575. i) q^{91} +(-1.22351e8 + 9.75716e7i) q^{92} +(1.33173e8 + 1.06202e8i) q^{93} +(1.74308e7 + 7.63695e7i) q^{94} +(-2.91109e7 - 1.01863e7i) q^{95} +(-9.56095e7 - 1.98535e8i) q^{96} +(-4.20609e7 + 2.64286e7i) q^{97} +(-1.33647e8 + 4.67652e7i) q^{98} +(-2.86614e8 - 2.86614e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} - 15884q^{10} + 8376q^{11} - 5036q^{12} - 14q^{13} - 12742q^{14} + 35516q^{15} + 245898q^{16} - 76248q^{17} + 465008q^{18} + 164474q^{19} - 907274q^{20} - 628270q^{21} + 1214962q^{22} + 173408q^{23} + 1858618q^{24} + 43976q^{25} - 4604204q^{26} - 1727586q^{27} + 1079922q^{29} + 8909208q^{30} + 3657848q^{31} + 1160364q^{32} - 4279184q^{33} - 8655374q^{34} - 8269058q^{35} - 3366854q^{36} - 5622890q^{37} + 15536626q^{38} + 16110008q^{39} - 23544696q^{40} - 9561672q^{41} - 14q^{42} + 5181008q^{43} + 51041750q^{44} - 35245194q^{45} - 43159224q^{46} - 12806808q^{47} + 83954488q^{48} + 10429400q^{49} + 80809398q^{50} + 18760882q^{51} - 93050550q^{52} - 30960322q^{53} - 106220916q^{54} - 126174004q^{55} - 40136268q^{56} + 159368354q^{58} + 11188020q^{59} + 255893612q^{60} + 139657128q^{61} + 102501616q^{62} + 9797746q^{63} - 135941792q^{64} - 14207858q^{65} - 447597656q^{66} - 148930894q^{67} - 167094904q^{68} + 66986722q^{69} + 586255934q^{70} - 15272096q^{71} + 41230600q^{72} - 219415072q^{73} - 347464696q^{74} + 391507416q^{75} + 271512490q^{76} + 240416780q^{77} + 141747906q^{78} + 112667220q^{79} - 375642638q^{80} - 358099268q^{81} - 262154910q^{82} - 109463350q^{83} - 694921012q^{84} - 356627386q^{85} + 199703522q^{87} + 251202768q^{88} + 839849154q^{89} + 675826020q^{90} + 533256766q^{91} + 742339570q^{92} + 78998570q^{93} - 209116610q^{94} - 633414122q^{95} - 431412576q^{96} - 402046736q^{97} - 2192087384q^{98} - 1966368188q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −24.5490 2.76601i −1.53431 0.172876i −0.695991 0.718050i \(-0.745035\pi\)
−0.838323 + 0.545175i \(0.816463\pi\)
\(3\) −135.176 84.9370i −1.66885 1.04860i −0.924783 0.380494i \(-0.875754\pi\)
−0.744062 0.668111i \(-0.767103\pi\)
\(4\) 345.422 + 78.8403i 1.34930 + 0.307970i
\(5\) −399.043 + 318.226i −0.638469 + 0.509162i −0.888381 0.459106i \(-0.848170\pi\)
0.249912 + 0.968268i \(0.419598\pi\)
\(6\) 3083.51 + 2459.02i 2.37925 + 1.89739i
\(7\) 40.6060 + 177.907i 0.0169121 + 0.0740969i 0.982680 0.185312i \(-0.0593295\pi\)
−0.965768 + 0.259409i \(0.916472\pi\)
\(8\) −2292.28 802.105i −0.559640 0.195826i
\(9\) 8211.67 + 17051.7i 1.25159 + 2.59895i
\(10\) 10676.3 6708.39i 1.06763 0.670839i
\(11\) −20215.0 + 7073.52i −1.38071 + 0.483131i −0.915589 0.402116i \(-0.868275\pi\)
−0.465121 + 0.885247i \(0.653989\pi\)
\(12\) −39996.5 39996.5i −1.92884 1.92884i
\(13\) 1918.80 3984.42i 0.0671824 0.139506i −0.864673 0.502334i \(-0.832475\pi\)
0.931856 + 0.362829i \(0.118189\pi\)
\(14\) −504.747 4479.75i −0.0131390 0.116612i
\(15\) 80970.4 9123.18i 1.59942 0.180211i
\(16\) −27665.1 13322.8i −0.422136 0.203290i
\(17\) 21641.2 21641.2i 0.259111 0.259111i −0.565581 0.824693i \(-0.691348\pi\)
0.824693 + 0.565581i \(0.191348\pi\)
\(18\) −154423. 441316.i −1.47103 4.20397i
\(19\) 32149.0 + 51164.9i 0.246691 + 0.392607i 0.947000 0.321233i \(-0.104097\pi\)
−0.700309 + 0.713840i \(0.746954\pi\)
\(20\) −162927. + 78461.7i −1.01830 + 0.490386i
\(21\) 9621.87 27497.7i 0.0494746 0.141390i
\(22\) 515823. 117733.i 2.20196 0.502584i
\(23\) −275389. + 345326.i −0.984090 + 1.23401i −0.0118724 + 0.999930i \(0.503779\pi\)
−0.972217 + 0.234080i \(0.924792\pi\)
\(24\) 241735. + 303126.i 0.728608 + 0.913645i
\(25\) −28954.8 + 126859.i −0.0741242 + 0.324759i
\(26\) −58125.5 + 92506.2i −0.127196 + 0.202431i
\(27\) 221020. 1.96161e6i 0.415889 3.69112i
\(28\) 64654.3i 0.105188i
\(29\) −587477. + 393849.i −0.830613 + 0.556850i
\(30\) −2.01298e6 −2.48516
\(31\) −1.06024e6 119460.i −1.14804 0.129353i −0.482627 0.875826i \(-0.660317\pi\)
−0.665416 + 0.746473i \(0.731746\pi\)
\(32\) 1.16872e6 + 734355.i 1.11458 + 0.700336i
\(33\) 3.33339e6 + 760825.i 2.81080 + 0.641548i
\(34\) −591131. + 471411.i −0.442352 + 0.352764i
\(35\) −72818.1 58070.5i −0.0485252 0.0386975i
\(36\) 1.49213e6 + 6.53745e6i 0.888376 + 3.89223i
\(37\) 1.72813e6 + 604698.i 0.922080 + 0.322650i 0.749239 0.662300i \(-0.230420\pi\)
0.172841 + 0.984950i \(0.444705\pi\)
\(38\) −647705. 1.34497e6i −0.310629 0.645029i
\(39\) −597801. + 375623.i −0.258403 + 0.162366i
\(40\) 1.16997e6 409391.i 0.457020 0.159918i
\(41\) 1.18704e6 + 1.18704e6i 0.420080 + 0.420080i 0.885231 0.465151i \(-0.154000\pi\)
−0.465151 + 0.885231i \(0.654000\pi\)
\(42\) −312267. + 648428.i −0.100353 + 0.208384i
\(43\) −593940. 5.27136e6i −0.173727 1.54187i −0.713857 0.700292i \(-0.753053\pi\)
0.540129 0.841582i \(-0.318375\pi\)
\(44\) −7.54037e6 + 849596.i −2.01179 + 0.226674i
\(45\) −8.70311e6 4.19120e6i −2.12239 1.02209i
\(46\) 7.71570e6 7.71570e6i 1.72323 1.72323i
\(47\) −1.04726e6 2.99290e6i −0.214617 0.613340i 0.785367 0.619030i \(-0.212474\pi\)
−0.999984 + 0.00569085i \(0.998189\pi\)
\(48\) 2.60807e6 + 4.15072e6i 0.491309 + 0.781913i
\(49\) 5.16390e6 2.48681e6i 0.895765 0.431377i
\(50\) 1.06170e6 3.03418e6i 0.169873 0.485469i
\(51\) −4.76353e6 + 1.08724e6i −0.704122 + 0.160711i
\(52\) 976928. 1.22503e6i 0.133613 0.167546i
\(53\) −3.26236e6 4.09087e6i −0.413455 0.518456i 0.530877 0.847449i \(-0.321862\pi\)
−0.944333 + 0.328992i \(0.893291\pi\)
\(54\) −1.08517e7 + 4.75443e7i −1.27621 + 5.59143i
\(55\) 5.81566e6 9.25557e6i 0.635548 1.01147i
\(56\) 49619.2 440383.i 0.00504543 0.0447794i
\(57\) 9.64693e6i 0.913881i
\(58\) 1.55114e7 8.04365e6i 1.37069 0.710790i
\(59\) −1.03572e7 −0.854738 −0.427369 0.904077i \(-0.640559\pi\)
−0.427369 + 0.904077i \(0.640559\pi\)
\(60\) 2.86882e7 + 3.23239e6i 2.21360 + 0.249413i
\(61\) −5.71826e6 3.59302e6i −0.412995 0.259502i 0.309470 0.950909i \(-0.399848\pi\)
−0.722465 + 0.691407i \(0.756991\pi\)
\(62\) 2.56975e7 + 5.86528e6i 1.73910 + 0.396937i
\(63\) −2.70017e6 + 2.15331e6i −0.171407 + 0.136693i
\(64\) −2.05139e7 1.63593e7i −1.22273 0.975091i
\(65\) 502265. + 2.20057e6i 0.0281371 + 0.123277i
\(66\) −7.97270e7 2.78977e7i −4.20175 1.47025i
\(67\) 5.85423e6 + 1.21564e7i 0.290516 + 0.603263i 0.994236 0.107215i \(-0.0341932\pi\)
−0.703720 + 0.710478i \(0.748479\pi\)
\(68\) 9.18156e6 5.76916e6i 0.429419 0.269822i
\(69\) 6.65571e7 2.32893e7i 2.93628 1.02745i
\(70\) 1.62699e6 + 1.62699e6i 0.0677630 + 0.0677630i
\(71\) −1.91533e7 + 3.97722e7i −0.753719 + 1.56511i 0.0696258 + 0.997573i \(0.477819\pi\)
−0.823345 + 0.567541i \(0.807895\pi\)
\(72\) −5.14622e6 4.56740e7i −0.191496 1.69957i
\(73\) −3.23600e6 + 364609.i −0.113951 + 0.0128391i −0.168756 0.985658i \(-0.553975\pi\)
0.0548050 + 0.998497i \(0.482546\pi\)
\(74\) −4.07512e7 1.96247e7i −1.35898 0.654451i
\(75\) 1.46890e7 1.46890e7i 0.464246 0.464246i
\(76\) 7.07113e6 + 2.02081e7i 0.211950 + 0.605720i
\(77\) −2.07928e6 3.30915e6i −0.0591492 0.0941355i
\(78\) 1.57144e7 7.56766e6i 0.424541 0.204448i
\(79\) 1.29876e7 3.71166e7i 0.333443 0.952927i −0.648078 0.761574i \(-0.724427\pi\)
0.981521 0.191353i \(-0.0612874\pi\)
\(80\) 1.52792e7 3.48739e6i 0.373028 0.0851412i
\(81\) −1.19069e8 + 1.49308e8i −2.76605 + 3.46851i
\(82\) −2.58574e7 3.24242e7i −0.571913 0.717156i
\(83\) 1.24899e7 5.47220e7i 0.263177 1.15305i −0.654606 0.755970i \(-0.727165\pi\)
0.917783 0.397083i \(-0.129977\pi\)
\(84\) 5.49154e6 8.73973e6i 0.110300 0.175542i
\(85\) −1.74898e6 + 1.55226e7i −0.0335049 + 0.297364i
\(86\) 1.31050e8i 2.39575i
\(87\) 1.12865e8 3.34063e6i 1.97008 0.0583111i
\(88\) 5.20122e7 0.867310
\(89\) 2.84528e7 + 3.20586e6i 0.453487 + 0.0510957i 0.335754 0.941950i \(-0.391009\pi\)
0.117733 + 0.993045i \(0.462437\pi\)
\(90\) 2.02060e8 + 1.26963e8i 3.07971 + 1.93511i
\(91\) 786769. + 179575.i 0.0114731 + 0.00261867i
\(92\) −1.22351e8 + 9.75716e7i −1.70788 + 1.36198i
\(93\) 1.33173e8 + 1.06202e8i 1.78026 + 1.41971i
\(94\) 1.74308e7 + 7.63695e7i 0.223258 + 0.978157i
\(95\) −2.91109e7 1.01863e7i −0.357405 0.125061i
\(96\) −9.56095e7 1.98535e8i −1.12568 2.33750i
\(97\) −4.20609e7 + 2.64286e7i −0.475107 + 0.298530i −0.748218 0.663453i \(-0.769090\pi\)
0.273111 + 0.961983i \(0.411947\pi\)
\(98\) −1.33647e8 + 4.67652e7i −1.44896 + 0.507013i
\(99\) −2.86614e8 2.86614e8i −2.98371 2.98371i
\(100\) −2.00032e7 + 4.15371e7i −0.200032 + 0.415371i
\(101\) −3.01687e6 2.67755e7i −0.0289916 0.257307i −0.999845 0.0176315i \(-0.994387\pi\)
0.970853 0.239676i \(-0.0770412\pi\)
\(102\) 1.19947e8 1.35148e7i 1.10813 0.124856i
\(103\) 1.58827e7 + 7.64869e6i 0.141115 + 0.0679576i 0.503109 0.864223i \(-0.332189\pi\)
−0.361993 + 0.932181i \(0.617904\pi\)
\(104\) −7.59435e6 + 7.59435e6i −0.0649168 + 0.0649168i
\(105\) 4.91096e6 + 1.40347e7i 0.0404026 + 0.115464i
\(106\) 6.87724e7 + 1.09451e8i 0.544742 + 0.866951i
\(107\) 1.95614e7 9.42025e6i 0.149233 0.0718667i −0.357777 0.933807i \(-0.616465\pi\)
0.507010 + 0.861940i \(0.330751\pi\)
\(108\) 2.30999e8 6.60158e8i 1.69791 4.85236i
\(109\) 1.68099e8 3.83674e7i 1.19085 0.271804i 0.419227 0.907881i \(-0.362301\pi\)
0.771626 + 0.636077i \(0.219444\pi\)
\(110\) −1.68370e8 + 2.11129e8i −1.14999 + 1.44204i
\(111\) −1.82241e8 2.28523e8i −1.20048 1.50535i
\(112\) 1.24685e6 5.46279e6i 0.00792393 0.0347170i
\(113\) −5.25359e7 + 8.36103e7i −0.322212 + 0.512798i −0.968077 0.250654i \(-0.919354\pi\)
0.645864 + 0.763452i \(0.276497\pi\)
\(114\) −2.66835e7 + 2.36823e8i −0.157988 + 1.40218i
\(115\) 2.25436e8i 1.28894i
\(116\) −2.33979e8 + 8.97274e7i −1.29224 + 0.495556i
\(117\) 8.36977e7 0.446653
\(118\) 2.54258e8 + 2.86480e7i 1.31144 + 0.147763i
\(119\) 4.72888e6 + 2.97135e6i 0.0235815 + 0.0148172i
\(120\) −1.92925e8 4.40339e7i −0.930387 0.212355i
\(121\) 1.91017e8 1.52331e8i 0.891111 0.710637i
\(122\) 1.30439e8 + 1.04022e8i 0.588802 + 0.469554i
\(123\) −5.96365e7 2.61285e8i −0.260550 1.14155i
\(124\) −3.56812e8 1.24854e8i −1.50922 0.528100i
\(125\) −1.15320e8 2.39465e8i −0.472353 0.980851i
\(126\) 7.22426e7 4.53930e7i 0.286623 0.180097i
\(127\) −4.25759e7 + 1.48979e7i −0.163662 + 0.0572679i −0.410867 0.911695i \(-0.634774\pi\)
0.247204 + 0.968963i \(0.420488\pi\)
\(128\) 2.08489e8 + 2.08489e8i 0.776682 + 0.776682i
\(129\) −3.67447e8 + 7.63011e8i −1.32689 + 2.75532i
\(130\) −6.24333e6 5.54110e7i −0.0218596 0.194009i
\(131\) 2.66309e8 3.00059e7i 0.904276 0.101887i 0.352435 0.935836i \(-0.385354\pi\)
0.551842 + 0.833949i \(0.313925\pi\)
\(132\) 1.09144e9 + 5.25611e8i 3.59505 + 1.73129i
\(133\) −7.79713e6 + 7.79713e6i −0.0249189 + 0.0249189i
\(134\) −1.10091e8 3.14621e8i −0.341454 0.975818i
\(135\) 5.36039e8 + 8.53102e8i 1.61384 + 2.56842i
\(136\) −6.69664e7 + 3.22493e7i −0.195750 + 0.0942681i
\(137\) 7.71540e6 2.20493e7i 0.0219016 0.0625912i −0.932414 0.361393i \(-0.882301\pi\)
0.954315 + 0.298802i \(0.0965870\pi\)
\(138\) −1.69833e9 + 3.87633e8i −4.68280 + 1.06882i
\(139\) 1.94506e8 2.43903e8i 0.521043 0.653367i −0.449787 0.893136i \(-0.648500\pi\)
0.970830 + 0.239769i \(0.0770716\pi\)
\(140\) −2.05747e7 2.57998e7i −0.0535576 0.0671591i
\(141\) −1.12643e8 + 4.93521e8i −0.284989 + 1.24862i
\(142\) 5.80204e8 9.23390e8i 1.42701 2.27108i
\(143\) −1.06045e7 + 9.41176e7i −0.0253598 + 0.225075i
\(144\) 5.81140e8i 1.35154i
\(145\) 1.09095e8 3.44113e8i 0.246794 0.778448i
\(146\) 8.04491e7 0.177056
\(147\) −9.09260e8 1.02449e8i −1.94724 0.219401i
\(148\) 5.49258e8 + 3.45122e8i 1.14480 + 0.719326i
\(149\) −5.46868e8 1.24819e8i −1.10953 0.253242i −0.371780 0.928321i \(-0.621253\pi\)
−0.737746 + 0.675079i \(0.764110\pi\)
\(150\) −4.01232e8 + 3.19971e8i −0.792556 + 0.632042i
\(151\) 1.48531e8 + 1.18450e8i 0.285700 + 0.227838i 0.755844 0.654752i \(-0.227227\pi\)
−0.470144 + 0.882589i \(0.655798\pi\)
\(152\) −3.26551e7 1.43071e8i −0.0611754 0.268027i
\(153\) 5.46731e8 + 1.91309e8i 0.997718 + 0.349117i
\(154\) 4.18910e7 + 8.69876e7i 0.0744797 + 0.154659i
\(155\) 4.61098e8 2.89727e8i 0.798851 0.501952i
\(156\) −2.36108e8 + 8.26177e7i −0.398669 + 0.139500i
\(157\) −7.61775e7 7.61775e7i −0.125380 0.125380i 0.641632 0.767012i \(-0.278258\pi\)
−0.767012 + 0.641632i \(0.778258\pi\)
\(158\) −4.21499e8 + 8.75251e8i −0.676345 + 1.40444i
\(159\) 9.35281e7 + 8.30085e8i 0.146337 + 1.29877i
\(160\) −7.00061e8 + 7.88779e7i −1.06821 + 0.120358i
\(161\) −7.26183e7 3.49711e7i −0.108079 0.0520482i
\(162\) 3.33602e9 3.33602e9i 4.84361 4.84361i
\(163\) 9.73229e7 + 2.78133e8i 0.137868 + 0.394005i 0.992030 0.126003i \(-0.0402148\pi\)
−0.854162 + 0.520008i \(0.825929\pi\)
\(164\) 3.16444e8 + 5.03619e8i 0.437444 + 0.696188i
\(165\) −1.57228e9 + 7.57171e8i −2.12126 + 1.02155i
\(166\) −4.57977e8 + 1.30882e9i −0.603131 + 1.72365i
\(167\) 8.55549e8 1.95273e8i 1.09996 0.251060i 0.366249 0.930517i \(-0.380642\pi\)
0.733715 + 0.679457i \(0.237785\pi\)
\(168\) −4.41122e7 + 5.53149e7i −0.0553759 + 0.0694392i
\(169\) 4.96406e8 + 6.22473e8i 0.608541 + 0.763087i
\(170\) 8.58713e7 3.76227e8i 0.102814 0.450458i
\(171\) −6.08452e8 + 9.68345e8i −0.711609 + 1.13252i
\(172\) 2.10436e8 1.86767e9i 0.240440 2.13396i
\(173\) 7.32601e8i 0.817868i −0.912564 0.408934i \(-0.865901\pi\)
0.912564 0.408934i \(-0.134099\pi\)
\(174\) −2.77998e9 2.30178e8i −3.03280 0.251111i
\(175\) −2.37448e7 −0.0253173
\(176\) 6.53488e8 + 7.36304e7i 0.681062 + 0.0767373i
\(177\) 1.40005e9 + 8.79707e8i 1.42643 + 0.896282i
\(178\) −6.89620e8 1.57401e8i −0.686958 0.156794i
\(179\) 8.60669e8 6.86361e8i 0.838348 0.668560i −0.107131 0.994245i \(-0.534166\pi\)
0.945478 + 0.325685i \(0.105595\pi\)
\(180\) −2.67581e9 2.13389e9i −2.54898 2.03274i
\(181\) 2.46550e8 + 1.08021e9i 0.229716 + 1.00645i 0.949872 + 0.312640i \(0.101213\pi\)
−0.720156 + 0.693813i \(0.755930\pi\)
\(182\) −1.88177e7 6.58460e6i −0.0171507 0.00600128i
\(183\) 4.67794e8 + 9.71384e8i 0.417110 + 0.866137i
\(184\) 9.08257e8 5.70696e8i 0.792388 0.497890i
\(185\) −8.82028e8 + 3.08635e8i −0.753001 + 0.263486i
\(186\) −2.97551e9 2.97551e9i −2.48605 2.48605i
\(187\) −2.84397e8 + 5.90556e8i −0.232573 + 0.482942i
\(188\) −1.25786e8 1.11638e9i −0.100693 0.893678i
\(189\) 3.57958e8 4.03322e7i 0.280534 0.0316086i
\(190\) 6.86468e8 + 3.30585e8i 0.526751 + 0.253670i
\(191\) 4.24678e8 4.24678e8i 0.319099 0.319099i −0.529322 0.848421i \(-0.677554\pi\)
0.848421 + 0.529322i \(0.177554\pi\)
\(192\) 1.38349e9 + 3.95379e9i 1.01805 + 2.90943i
\(193\) −1.28991e9 2.05289e9i −0.929675 1.47957i −0.876736 0.480972i \(-0.840284\pi\)
−0.0529397 0.998598i \(-0.516859\pi\)
\(194\) 1.10566e9 5.32455e8i 0.780572 0.375904i
\(195\) 1.19015e8 3.40126e8i 0.0823121 0.235235i
\(196\) 1.97979e9 4.51873e8i 1.34151 0.306191i
\(197\) 4.62242e8 5.79634e8i 0.306906 0.384847i −0.604329 0.796735i \(-0.706559\pi\)
0.911235 + 0.411887i \(0.135130\pi\)
\(198\) 6.24332e9 + 7.82888e9i 4.06214 + 5.09376i
\(199\) 6.32332e7 2.77043e8i 0.0403211 0.176658i −0.950758 0.309935i \(-0.899693\pi\)
0.991079 + 0.133277i \(0.0425499\pi\)
\(200\) 1.68127e8 2.67573e8i 0.105079 0.167233i
\(201\) 2.41177e8 2.14050e9i 0.147758 1.31139i
\(202\) 6.65657e8i 0.399802i
\(203\) −9.39235e7 8.85234e7i −0.0553083 0.0521283i
\(204\) −1.73115e9 −0.999569
\(205\) −8.51431e8 9.59332e7i −0.482097 0.0543192i
\(206\) −3.68747e8 2.31699e8i −0.204767 0.128664i
\(207\) −8.14981e9 1.86014e9i −4.43880 1.01313i
\(208\) −1.06167e8 + 8.46656e7i −0.0567202 + 0.0452328i
\(209\) −1.01181e9 8.06890e8i −0.530289 0.422891i
\(210\) −8.17391e7 3.58122e8i −0.0420293 0.184143i
\(211\) −1.19108e9 4.16778e8i −0.600915 0.210269i 0.0126417 0.999920i \(-0.495976\pi\)
−0.613556 + 0.789651i \(0.710262\pi\)
\(212\) −8.04366e8 1.67028e9i −0.398208 0.826888i
\(213\) 5.96720e9 3.74944e9i 2.89903 1.82158i
\(214\) −5.06269e8 + 1.77151e8i −0.241394 + 0.0844673i
\(215\) 1.91449e9 + 1.91449e9i 0.895984 + 0.895984i
\(216\) −2.08006e9 + 4.31929e9i −0.955566 + 1.98425i
\(217\) −2.17994e7 1.93475e8i −0.00983116 0.0872540i
\(218\) −4.23278e9 + 4.76920e8i −1.87413 + 0.211164i
\(219\) 4.68399e8 + 2.25569e8i 0.203629 + 0.0980626i
\(220\) 2.73857e9 2.73857e9i 1.16905 1.16905i
\(221\) −4.47027e7 1.27753e8i −0.0187398 0.0535552i
\(222\) 3.84174e9 + 6.11409e9i 1.58167 + 2.51721i
\(223\) 1.15249e9 5.55011e8i 0.466035 0.224431i −0.186104 0.982530i \(-0.559586\pi\)
0.652139 + 0.758099i \(0.273872\pi\)
\(224\) −8.31896e7 + 2.37742e8i −0.0330428 + 0.0944309i
\(225\) −2.40093e9 + 5.47997e8i −0.936806 + 0.213820i
\(226\) 1.52097e9 1.90724e9i 0.583025 0.731090i
\(227\) −1.15371e9 1.44671e9i −0.434504 0.544851i 0.515581 0.856841i \(-0.327576\pi\)
−0.950085 + 0.311990i \(0.899005\pi\)
\(228\) 7.60567e8 3.33226e9i 0.281448 1.23310i
\(229\) −6.63840e8 + 1.05649e9i −0.241391 + 0.384172i −0.945344 0.326075i \(-0.894274\pi\)
0.703953 + 0.710247i \(0.251417\pi\)
\(230\) −6.23559e8 + 5.53423e9i −0.222826 + 1.97764i
\(231\) 6.23926e8i 0.219122i
\(232\) 1.66257e9 4.31597e8i 0.573890 0.148979i
\(233\) 3.58867e9 1.21762 0.608808 0.793318i \(-0.291648\pi\)
0.608808 + 0.793318i \(0.291648\pi\)
\(234\) −2.05470e9 2.31509e8i −0.685306 0.0772154i
\(235\) 1.37032e9 + 8.61031e8i 0.449315 + 0.282324i
\(236\) −3.57759e9 8.16562e8i −1.15330 0.263234i
\(237\) −4.90819e9 + 3.91415e9i −1.55571 + 1.24064i
\(238\) −1.07871e8 8.60240e7i −0.0336198 0.0268109i
\(239\) −5.54907e8 2.43121e9i −0.170070 0.745127i −0.985969 0.166931i \(-0.946614\pi\)
0.815898 0.578196i \(-0.196243\pi\)
\(240\) −2.36160e9 8.26360e8i −0.711806 0.249072i
\(241\) 1.49297e9 + 3.10018e9i 0.442570 + 0.919006i 0.996270 + 0.0862896i \(0.0275010\pi\)
−0.553700 + 0.832716i \(0.686785\pi\)
\(242\) −5.11064e9 + 3.21123e9i −1.49010 + 0.936289i
\(243\) 1.65524e10 5.79193e9i 4.74718 1.66111i
\(244\) −1.69194e9 1.69194e9i −0.477337 0.477337i
\(245\) −1.26925e9 + 2.63563e9i −0.352277 + 0.731511i
\(246\) 7.41302e8 + 6.57924e9i 0.202421 + 1.79653i
\(247\) 2.65550e8 2.99203e7i 0.0713442 0.00803856i
\(248\) 2.33456e9 + 1.12426e9i 0.617159 + 0.297208i
\(249\) −6.33627e9 + 6.33627e9i −1.64830 + 1.64830i
\(250\) 2.16864e9 + 6.19762e9i 0.555172 + 1.58659i
\(251\) 3.89774e9 + 6.20322e9i 0.982015 + 1.56287i 0.817048 + 0.576569i \(0.195609\pi\)
0.164967 + 0.986299i \(0.447248\pi\)
\(252\) −1.10247e9 + 5.30919e8i −0.273378 + 0.131652i
\(253\) 3.12430e9 8.92873e9i 0.762553 2.17925i
\(254\) 1.08640e9 2.47965e8i 0.261010 0.0595737i
\(255\) 1.55486e9 1.94974e9i 0.367732 0.461121i
\(256\) −3.53530e8 4.43313e8i −0.0823127 0.103217i
\(257\) 1.10746e8 4.85210e8i 0.0253861 0.111224i −0.960647 0.277770i \(-0.910405\pi\)
0.986034 + 0.166547i \(0.0532617\pi\)
\(258\) 1.11310e10 1.77148e10i 2.51220 3.99814i
\(259\) −3.74073e7 + 3.31999e8i −0.00831300 + 0.0737799i
\(260\) 7.99723e8i 0.175003i
\(261\) −1.15400e10 6.78333e9i −2.48681 1.46178i
\(262\) −6.62063e9 −1.40506
\(263\) −2.08562e9 2.34993e8i −0.435926 0.0491171i −0.108725 0.994072i \(-0.534677\pi\)
−0.327201 + 0.944955i \(0.606105\pi\)
\(264\) −7.03082e9 4.41776e9i −1.44741 0.909465i
\(265\) 2.60365e9 + 5.94265e8i 0.527957 + 0.120503i
\(266\) 2.12979e8 1.69845e8i 0.0425412 0.0339255i
\(267\) −3.57385e9 2.85005e9i −0.703220 0.560799i
\(268\) 1.06376e9 + 4.66065e9i 0.206208 + 0.903456i
\(269\) 2.78272e9 + 9.73716e8i 0.531447 + 0.185961i 0.582645 0.812727i \(-0.302018\pi\)
−0.0511972 + 0.998689i \(0.516304\pi\)
\(270\) −1.07996e10 2.24255e10i −2.03213 4.21975i
\(271\) −2.18255e9 + 1.37139e9i −0.404658 + 0.254263i −0.718948 0.695064i \(-0.755376\pi\)
0.314291 + 0.949327i \(0.398233\pi\)
\(272\) −8.87029e8 + 3.10385e8i −0.162055 + 0.0567054i
\(273\) −9.11002e7 9.11002e7i −0.0164009 0.0164009i
\(274\) −2.50394e8 + 5.19949e8i −0.0444244 + 0.0922483i
\(275\) −3.12021e8 2.76926e9i −0.0545574 0.484210i
\(276\) 2.48264e10 2.79727e9i 4.27836 0.482056i
\(277\) −7.55259e9 3.63714e9i −1.28285 0.617789i −0.336731 0.941601i \(-0.609321\pi\)
−0.946122 + 0.323812i \(0.895036\pi\)
\(278\) −5.44956e9 + 5.44956e9i −0.912394 + 0.912394i
\(279\) −6.66935e9 1.90599e10i −1.10069 3.14560i
\(280\) 1.20341e8 + 1.91522e8i 0.0195786 + 0.0311592i
\(281\) −6.79883e8 + 3.27415e8i −0.109046 + 0.0525137i −0.487611 0.873061i \(-0.662132\pi\)
0.378566 + 0.925574i \(0.376417\pi\)
\(282\) 4.13036e9 1.18039e10i 0.653118 1.86650i
\(283\) −3.96049e9 + 9.03955e8i −0.617452 + 0.140929i −0.519795 0.854291i \(-0.673992\pi\)
−0.0976563 + 0.995220i \(0.531135\pi\)
\(284\) −9.75162e9 + 1.22281e10i −1.49901 + 1.87969i
\(285\) 3.06991e9 + 3.84954e9i 0.465314 + 0.583485i
\(286\) 5.20660e8 2.28116e9i 0.0778198 0.340951i
\(287\) −1.62982e8 + 2.59384e8i −0.0240222 + 0.0382310i
\(288\) −2.92487e9 + 2.59590e10i −0.425145 + 3.77326i
\(289\) 6.03907e9i 0.865723i
\(290\) −3.63001e9 + 8.14589e9i −0.513234 + 1.15172i
\(291\) 7.93041e9 1.10592
\(292\) −1.14653e9 1.29183e8i −0.157708 0.0177694i
\(293\) 1.95158e9 + 1.22626e9i 0.264799 + 0.166384i 0.657887 0.753117i \(-0.271450\pi\)
−0.393088 + 0.919501i \(0.628593\pi\)
\(294\) 2.20381e10 + 5.03005e9i 2.94974 + 0.673260i
\(295\) 4.13296e9 3.29592e9i 0.545724 0.435200i
\(296\) −3.47633e9 2.77228e9i −0.452849 0.361135i
\(297\) 9.40757e9 + 4.12173e10i 1.20907 + 5.29729i
\(298\) 1.30798e10 + 4.57683e9i 1.65858 + 0.580363i
\(299\) 8.47511e8 + 1.75988e9i 0.106038 + 0.220190i
\(300\) 6.23201e9 3.91583e9i 0.769384 0.483436i
\(301\) 9.13692e8 3.19715e8i 0.111310 0.0389490i
\(302\) −3.31866e9 3.31866e9i −0.398965 0.398965i
\(303\) −1.86642e9 + 3.87566e9i −0.221431 + 0.459807i
\(304\) −2.07746e8 1.84380e9i −0.0243242 0.215883i
\(305\) 3.42523e9 3.85930e8i 0.395813 0.0445974i
\(306\) −1.28925e10 6.20872e9i −1.47046 0.708135i
\(307\) −8.77435e9 + 8.77435e9i −0.987783 + 0.987783i −0.999926 0.0121435i \(-0.996135\pi\)
0.0121435 + 0.999926i \(0.496135\pi\)
\(308\) −4.57333e8 1.30698e9i −0.0508194 0.145234i
\(309\) −1.49731e9 2.38295e9i −0.164239 0.261385i
\(310\) −1.21209e10 + 5.83711e9i −1.31246 + 0.632049i
\(311\) 3.64861e9 1.04271e10i 0.390019 1.11461i −0.566782 0.823868i \(-0.691812\pi\)
0.956801 0.290743i \(-0.0939026\pi\)
\(312\) 1.67162e9 3.81536e8i 0.176408 0.0402640i
\(313\) −5.39674e9 + 6.76730e9i −0.562282 + 0.705080i −0.978978 0.203966i \(-0.934617\pi\)
0.416695 + 0.909046i \(0.363188\pi\)
\(314\) 1.65938e9 + 2.08079e9i 0.170697 + 0.214047i
\(315\) 3.92243e8 1.71853e9i 0.0398394 0.174548i
\(316\) 7.41250e9 1.17969e10i 0.743390 1.18310i
\(317\) 6.45544e8 5.72936e9i 0.0639277 0.567374i −0.920394 0.390992i \(-0.872132\pi\)
0.984322 0.176382i \(-0.0564394\pi\)
\(318\) 2.06365e10i 2.01803i
\(319\) 9.08992e9 1.21172e10i 0.877804 1.17014i
\(320\) 1.33919e10 1.27715
\(321\) −3.44436e9 3.88087e8i −0.324406 0.0365518i
\(322\) 1.68598e9 + 1.05937e9i 0.156830 + 0.0985426i
\(323\) 1.80302e9 + 4.11527e8i 0.165649 + 0.0378084i
\(324\) −5.29007e10 + 4.21869e10i −4.80044 + 3.82822i
\(325\) 4.49902e8 + 3.58785e8i 0.0403259 + 0.0321589i
\(326\) −1.61986e9 7.09709e9i −0.143419 0.628362i
\(327\) −2.59818e10 9.09142e9i −2.27237 0.795135i
\(328\) −1.76891e9 3.67318e9i −0.152831 0.317356i
\(329\) 4.89932e8 3.07845e8i 0.0418169 0.0262753i
\(330\) 4.06923e10 1.42389e10i 3.43128 1.20066i
\(331\) 3.09246e8 + 3.09246e8i 0.0257628 + 0.0257628i 0.719871 0.694108i \(-0.244201\pi\)
−0.694108 + 0.719871i \(0.744201\pi\)
\(332\) 8.62860e9 1.79175e10i 0.710212 1.47477i
\(333\) 3.87968e9 + 3.44331e10i 0.315514 + 2.80026i
\(334\) −2.15430e10 + 2.42731e9i −1.73109 + 0.195047i
\(335\) −6.20459e9 2.98797e9i −0.492644 0.237245i
\(336\) −6.32537e8 + 6.32537e8i −0.0496282 + 0.0496282i
\(337\) 2.21298e9 + 6.32432e9i 0.171576 + 0.490337i 0.997275 0.0737746i \(-0.0235045\pi\)
−0.825699 + 0.564111i \(0.809219\pi\)
\(338\) −1.04645e10 1.66542e10i −0.801774 1.27602i
\(339\) 1.42032e10 6.83991e9i 1.07544 0.517907i
\(340\) −1.82794e9 + 5.22396e9i −0.136788 + 0.390916i
\(341\) 2.22777e10 5.08475e9i 1.64761 0.376056i
\(342\) 1.76153e10 2.20889e10i 1.28762 1.61462i
\(343\) 1.30800e9 + 1.64018e9i 0.0944997 + 0.118499i
\(344\) −2.86671e9 + 1.25599e10i −0.204715 + 0.896915i
\(345\) −1.91479e10 + 3.04737e10i −1.35159 + 2.15104i
\(346\) −2.02638e9 + 1.79846e10i −0.141389 + 1.25487i
\(347\) 2.30212e10i 1.58785i −0.608013 0.793927i \(-0.708033\pi\)
0.608013 0.793927i \(-0.291967\pi\)
\(348\) 3.92496e10 + 7.74442e9i 2.67620 + 0.528046i
\(349\) 1.04984e10 0.707656 0.353828 0.935310i \(-0.384880\pi\)
0.353828 + 0.935310i \(0.384880\pi\)
\(350\) 5.82912e8 + 6.56784e7i 0.0388446 + 0.00437674i
\(351\) −7.39179e9 4.64457e9i −0.486991 0.305997i
\(352\) −2.88201e10 6.57800e9i −1.87726 0.428473i
\(353\) 1.07009e10 8.53365e9i 0.689159 0.549586i −0.215088 0.976595i \(-0.569004\pi\)
0.904248 + 0.427008i \(0.140433\pi\)
\(354\) −3.19365e10 2.54685e10i −2.03364 1.62177i
\(355\) −5.01357e9 2.19659e10i −0.315670 1.38304i
\(356\) 9.57546e9 + 3.35060e9i 0.596156 + 0.208604i
\(357\) −3.86856e8 8.03314e8i −0.0238164 0.0494553i
\(358\) −2.30271e10 + 1.44689e10i −1.40187 + 0.880851i
\(359\) 1.73813e10 6.08198e9i 1.04642 0.366157i 0.248314 0.968680i \(-0.420123\pi\)
0.798102 + 0.602523i \(0.205838\pi\)
\(360\) 1.65882e10 + 1.65882e10i 0.987621 + 0.987621i
\(361\) 5.78461e9 1.20119e10i 0.340600 0.707264i
\(362\) −3.06471e9 2.72000e10i −0.178466 1.58393i
\(363\) −3.87596e10 + 4.36716e9i −2.23230 + 0.251520i
\(364\) 2.57610e8 + 1.24058e8i 0.0146743 + 0.00706676i
\(365\) 1.17527e9 1.17527e9i 0.0662167 0.0662167i
\(366\) −8.79702e9 2.51404e10i −0.490243 1.40103i
\(367\) 8.82586e9 + 1.40463e10i 0.486511 + 0.774278i 0.996293 0.0860258i \(-0.0274167\pi\)
−0.509782 + 0.860304i \(0.670274\pi\)
\(368\) 1.22194e10 5.88454e9i 0.666281 0.320864i
\(369\) −1.04935e10 + 2.99888e10i −0.565999 + 1.61753i
\(370\) 2.25066e10 5.13699e9i 1.20089 0.274095i
\(371\) 5.95321e8 7.46509e8i 0.0314236 0.0394039i
\(372\) 3.76279e10 + 4.71839e10i 1.96489 + 2.46389i
\(373\) 1.47935e9 6.48145e9i 0.0764249 0.334839i −0.922233 0.386635i \(-0.873637\pi\)
0.998658 + 0.0517956i \(0.0164944\pi\)
\(374\) 8.61515e9 1.37109e10i 0.440328 0.700778i
\(375\) −4.75086e9 + 4.21651e10i −0.240241 + 2.13220i
\(376\) 7.70060e9i 0.385277i
\(377\) 4.42013e8 + 3.09647e9i 0.0218811 + 0.153286i
\(378\) −8.89908e9 −0.435891
\(379\) −3.42430e10 3.85826e9i −1.65964 0.186997i −0.768226 0.640178i \(-0.778861\pi\)
−0.891418 + 0.453181i \(0.850289\pi\)
\(380\) −9.25244e9 5.81370e9i −0.443733 0.278816i
\(381\) 7.02064e9 + 1.60242e9i 0.333178 + 0.0760458i
\(382\) −1.16001e10 + 9.25076e9i −0.544763 + 0.434434i
\(383\) 2.43605e10 + 1.94269e10i 1.13212 + 0.902834i 0.996131 0.0878767i \(-0.0280081\pi\)
0.135987 + 0.990711i \(0.456580\pi\)
\(384\) −1.04744e10 4.58912e10i −0.481729 2.11059i
\(385\) 1.88278e9 + 6.58813e8i 0.0856952 + 0.0299860i
\(386\) 2.59878e10 + 5.39642e10i 1.17063 + 2.43084i
\(387\) 8.50085e10 5.34144e10i 3.78982 2.38130i
\(388\) −1.66124e10 + 5.81293e9i −0.733002 + 0.256489i
\(389\) −2.85584e10 2.85584e10i −1.24720 1.24720i −0.956951 0.290249i \(-0.906262\pi\)
−0.290249 0.956951i \(-0.593738\pi\)
\(390\) −3.86250e9 + 8.02056e9i −0.166959 + 0.346694i
\(391\) 1.51354e9 + 1.34330e10i 0.0647570 + 0.574734i
\(392\) −1.38318e10 + 1.55847e9i −0.585781 + 0.0660016i
\(393\) −3.85474e10 1.85634e10i −1.61594 0.778194i
\(394\) −1.29509e10 + 1.29509e10i −0.537420 + 0.537420i
\(395\) 6.62884e9 + 1.89441e10i 0.272301 + 0.778191i
\(396\) −7.64061e10 1.21600e11i −3.10704 4.94483i
\(397\) −2.40612e10 + 1.15872e10i −0.968623 + 0.466464i −0.850177 0.526496i \(-0.823505\pi\)
−0.118445 + 0.992961i \(0.537791\pi\)
\(398\) −2.31862e9 + 6.62622e9i −0.0924052 + 0.264079i
\(399\) 1.71625e9 3.91724e8i 0.0677157 0.0154557i
\(400\) 2.49116e9 3.12381e9i 0.0973108 0.122024i
\(401\) 1.49877e10 + 1.87940e10i 0.579639 + 0.726845i 0.982051 0.188614i \(-0.0603995\pi\)
−0.402412 + 0.915459i \(0.631828\pi\)
\(402\) −1.18413e10 + 5.18802e10i −0.453415 + 1.98654i
\(403\) −2.51037e9 + 3.99523e9i −0.0951737 + 0.151468i
\(404\) 1.06889e9 9.48670e9i 0.0401245 0.356115i
\(405\) 9.74714e10i 3.62291i
\(406\) 2.06087e9 + 2.43296e9i 0.0758485 + 0.0895427i
\(407\) −3.92113e10 −1.42901
\(408\) 1.17914e10 + 1.32858e9i 0.425526 + 0.0479453i
\(409\) 3.01255e10 + 1.89291e10i 1.07657 + 0.676451i 0.948967 0.315375i \(-0.102130\pi\)
0.127599 + 0.991826i \(0.459273\pi\)
\(410\) 2.06364e10 + 4.71013e9i 0.730297 + 0.166686i
\(411\) −2.91574e9 + 2.32523e9i −0.102184 + 0.0814889i
\(412\) 4.88320e9 + 3.89422e9i 0.169479 + 0.135155i
\(413\) −4.20563e8 1.84261e9i −0.0144554 0.0633334i
\(414\) 1.94925e11 + 6.82071e10i 6.63537 + 2.32182i
\(415\) 1.24299e10 + 2.58111e10i 0.419061 + 0.870189i
\(416\) 5.16852e9 3.24759e9i 0.172581 0.108440i
\(417\) −4.70090e10 + 1.64491e10i −1.55466 + 0.544000i
\(418\) 2.26070e10 + 2.26070e10i 0.740522 + 0.740522i
\(419\) −9.72117e9 + 2.01862e10i −0.315401 + 0.654936i −0.997051 0.0767419i \(-0.975548\pi\)
0.681650 + 0.731678i \(0.261263\pi\)
\(420\) 5.89852e8 + 5.23508e9i 0.0189560 + 0.168239i
\(421\) −1.86353e10 + 2.09969e9i −0.593210 + 0.0668387i −0.403465 0.914995i \(-0.632194\pi\)
−0.189744 + 0.981834i \(0.560766\pi\)
\(422\) 2.80871e10 + 1.35261e10i 0.885641 + 0.426502i
\(423\) 4.24343e10 4.24343e10i 1.32543 1.32543i
\(424\) 4.19695e9 + 1.19942e10i 0.129859 + 0.371114i
\(425\) 2.11877e9 + 3.37200e9i 0.0649424 + 0.103355i
\(426\) −1.56860e11 + 7.55398e10i −4.76292 + 2.29370i
\(427\) 4.07026e8 1.16321e9i 0.0122437 0.0349904i
\(428\) 7.49962e9 1.71174e9i 0.223493 0.0510109i
\(429\) 9.42754e9 1.18218e10i 0.278336 0.349022i
\(430\) −4.17034e10 5.22944e10i −1.21983 1.52961i
\(431\) 1.28302e10 5.62130e10i 0.371814 1.62902i −0.349868 0.936799i \(-0.613773\pi\)
0.721682 0.692225i \(-0.243369\pi\)
\(432\) −3.22487e10 + 5.13235e10i −0.925928 + 1.47361i
\(433\) 5.81118e9 5.15757e10i 0.165315 1.46721i −0.587630 0.809130i \(-0.699939\pi\)
0.752945 0.658083i \(-0.228633\pi\)
\(434\) 4.80991e9i 0.135575i
\(435\) −4.39751e10 + 3.72498e10i −1.22815 + 1.04032i
\(436\) 6.10899e10 1.69053
\(437\) −2.65221e10 2.98832e9i −0.727247 0.0819410i
\(438\) −1.08748e10 6.83310e9i −0.295478 0.185661i
\(439\) 4.07100e9 + 9.29180e8i 0.109608 + 0.0250174i 0.276973 0.960878i \(-0.410669\pi\)
−0.167365 + 0.985895i \(0.553526\pi\)
\(440\) −2.07551e10 + 1.65516e10i −0.553750 + 0.441601i
\(441\) 8.48086e10 + 6.76326e10i 2.24226 + 1.78814i
\(442\) 7.44041e8 + 3.25986e9i 0.0194943 + 0.0854101i
\(443\) 7.32362e9 + 2.56265e9i 0.190156 + 0.0665386i 0.423677 0.905813i \(-0.360739\pi\)
−0.233521 + 0.972352i \(0.575025\pi\)
\(444\) −4.49332e10 9.33047e10i −1.15621 2.40089i
\(445\) −1.23741e10 + 7.77514e9i −0.315553 + 0.198275i
\(446\) −2.98277e10 + 1.04372e10i −0.753843 + 0.263781i
\(447\) 6.33219e10 + 6.33219e10i 1.58608 + 1.58608i
\(448\) 2.07744e9 4.31385e9i 0.0515723 0.107091i
\(449\) 2.41752e9 + 2.14561e10i 0.0594820 + 0.527917i 0.987754 + 0.156016i \(0.0498653\pi\)
−0.928272 + 0.371901i \(0.878706\pi\)
\(450\) 6.04563e10 6.81179e9i 1.47432 0.166116i
\(451\) −3.23927e10 1.55995e10i −0.782961 0.377054i
\(452\) −2.47389e10 + 2.47389e10i −0.592689 + 0.592689i
\(453\) −1.00172e10 2.86274e10i −0.237877 0.679812i
\(454\) 2.43209e10 + 3.87065e10i 0.572474 + 0.911087i
\(455\) −3.71100e8 + 1.78713e8i −0.00865856 + 0.00416975i
\(456\) −7.73785e9 + 2.21135e10i −0.178962 + 0.511444i
\(457\) −6.90679e9 + 1.57643e9i −0.158348 + 0.0361418i −0.300960 0.953637i \(-0.597307\pi\)
0.142612 + 0.989779i \(0.454450\pi\)
\(458\) 1.92189e10 2.40997e10i 0.436784 0.547709i
\(459\) −3.76685e10 4.72348e10i −0.848648 1.06417i
\(460\) 1.77735e10 7.78706e10i 0.396954 1.73917i
\(461\) 3.73550e10 5.94502e10i 0.827076 1.31628i −0.119183 0.992872i \(-0.538027\pi\)
0.946258 0.323411i \(-0.104830\pi\)
\(462\) 1.72579e9 1.53168e10i 0.0378808 0.336201i
\(463\) 1.91777e10i 0.417322i 0.977988 + 0.208661i \(0.0669106\pi\)
−0.977988 + 0.208661i \(0.933089\pi\)
\(464\) 2.14998e10 3.06904e9i 0.463833 0.0662110i
\(465\) −8.69381e10 −1.85951
\(466\) −8.80984e10 9.92631e9i −1.86820 0.210496i
\(467\) −3.30296e10 2.07538e10i −0.694441 0.436346i 0.138020 0.990429i \(-0.455926\pi\)
−0.832461 + 0.554083i \(0.813069\pi\)
\(468\) 2.89110e10 + 6.59876e9i 0.602671 + 0.137556i
\(469\) −1.92499e9 + 1.53513e9i −0.0397867 + 0.0317288i
\(470\) −3.12585e10 2.49278e10i −0.640584 0.510849i
\(471\) 3.82712e9 + 1.67677e10i 0.0777657 + 0.340714i
\(472\) 2.37416e10 + 8.30754e9i 0.478345 + 0.167380i
\(473\) 4.92936e10 + 1.02359e11i 0.984794 + 2.04495i
\(474\) 1.31318e11 8.25125e10i 2.60142 1.63458i
\(475\) −7.42160e9 + 2.59693e9i −0.145788 + 0.0510136i
\(476\) 1.39920e9 + 1.39920e9i 0.0272553 + 0.0272553i
\(477\) 4.29669e10 8.92217e10i 0.829967 1.72344i
\(478\) 6.89768e9 + 6.12186e10i 0.132127 + 1.17266i
\(479\) −7.90602e10 + 8.90794e9i −1.50181 + 0.169214i −0.824239 0.566241i \(-0.808397\pi\)
−0.677573 + 0.735455i \(0.736968\pi\)
\(480\) 1.01331e11 + 4.87986e10i 1.90888 + 0.919269i
\(481\) 5.72529e9 5.72529e9i 0.106959 0.106959i
\(482\) −2.80757e10 8.02358e10i −0.520167 1.48655i
\(483\) 6.84594e9 + 1.08953e10i 0.125790 + 0.200193i
\(484\) 7.79915e10 3.75587e10i 1.42123 0.684431i
\(485\) 8.37383e9 2.39310e10i 0.151341 0.432508i
\(486\) −4.22366e11 + 9.64022e10i −7.57083 + 1.72799i
\(487\) −4.86127e9 + 6.09584e9i −0.0864239 + 0.108372i −0.823163 0.567805i \(-0.807793\pi\)
0.736740 + 0.676177i \(0.236364\pi\)
\(488\) 1.02259e10 + 1.28229e10i 0.180311 + 0.226103i
\(489\) 1.04680e10 4.58633e10i 0.183075 0.802103i
\(490\) 3.84491e10 6.11914e10i 0.666964 1.06147i
\(491\) −8.14863e9 + 7.23211e10i −0.140203 + 1.24434i 0.704733 + 0.709473i \(0.251067\pi\)
−0.844936 + 0.534867i \(0.820362\pi\)
\(492\) 9.49552e10i 1.62053i
\(493\) −4.19034e9 + 2.12371e10i −0.0709352 + 0.359507i
\(494\) −6.60175e9 −0.110854
\(495\) 2.05580e11 + 2.31633e10i 3.42420 + 0.385815i
\(496\) 2.77401e10 + 1.74303e10i 0.458334 + 0.287990i
\(497\) −7.85347e9 1.79250e9i −0.128717 0.0293788i
\(498\) 1.73075e11 1.38023e11i 2.81396 2.24406i
\(499\) 8.79487e10 + 7.01368e10i 1.41849 + 1.13121i 0.971602 + 0.236623i \(0.0760407\pi\)
0.446892 + 0.894588i \(0.352531\pi\)
\(500\) −2.09547e10 9.18086e10i −0.335275 1.46894i
\(501\) −1.32236e11 4.62714e10i −2.09893 0.734449i
\(502\) −7.85276e10 1.63064e11i −1.23654 2.56770i
\(503\) −7.33428e10 + 4.60843e10i −1.14574 + 0.719915i −0.964645 0.263551i \(-0.915106\pi\)
−0.181093 + 0.983466i \(0.557963\pi\)
\(504\) 7.91674e9 2.77019e9i 0.122694 0.0429326i
\(505\) 9.72453e9 + 9.72453e9i 0.149521 + 0.149521i
\(506\) −1.01395e11 + 2.10550e11i −1.54674 + 3.21183i
\(507\) −1.42314e10 1.26307e11i −0.215385 1.91159i
\(508\) −1.58812e10 + 1.78938e9i −0.238467 + 0.0268688i
\(509\) 4.78512e10 + 2.30439e10i 0.712889 + 0.343309i 0.754929 0.655807i \(-0.227671\pi\)
−0.0420398 + 0.999116i \(0.513386\pi\)
\(510\) −4.35634e10 + 4.35634e10i −0.643933 + 0.643933i
\(511\) −1.96267e8 5.60900e8i −0.00287849 0.00822624i
\(512\) −3.27057e10 5.20508e10i −0.475931 0.757439i
\(513\) 1.07471e11 5.17554e10i 1.55175 0.747285i
\(514\) −4.06080e9 + 1.16051e10i −0.0581781 + 0.166263i
\(515\) −8.77188e9 + 2.00212e9i −0.124699 + 0.0284618i
\(516\) −1.87080e11 + 2.34591e11i −2.63894 + 3.30912i
\(517\) 4.23407e10 + 5.30936e10i 0.592647 + 0.743156i
\(518\) 1.83663e9 8.04679e9i 0.0255095 0.111764i
\(519\) −6.22249e10 + 9.90304e10i −0.857620 + 1.36489i
\(520\) 6.13752e8 5.44720e9i 0.00839420 0.0745006i
\(521\) 3.08985e9i 0.0419359i 0.999780 + 0.0209680i \(0.00667480\pi\)
−0.999780 + 0.0209680i \(0.993325\pi\)
\(522\) 2.64532e11 + 1.98444e11i 3.56284 + 2.67273i
\(523\) 1.09043e11 1.45744 0.728719 0.684812i \(-0.240116\pi\)
0.728719 + 0.684812i \(0.240116\pi\)
\(524\) 9.43548e10 + 1.06312e10i 1.25152 + 0.141013i
\(525\) 3.20974e9 + 2.01681e9i 0.0422506 + 0.0265478i
\(526\) 5.05500e10 + 1.15377e10i 0.660356 + 0.150722i
\(527\) −2.55302e10 + 2.03597e10i −0.330988 + 0.263954i
\(528\) −8.20822e10 6.54584e10i −1.05612 0.842228i
\(529\) −2.59856e10 1.13850e11i −0.331826 1.45382i
\(530\) −6.22732e10 2.17903e10i −0.789219 0.276160i
\(531\) −8.50496e10 1.76607e11i −1.06978 2.22142i
\(532\) −3.30803e9 + 2.07857e9i −0.0412974 + 0.0259489i
\(533\) 7.00738e9 2.45199e9i 0.0868255 0.0303815i
\(534\) 7.98512e10 + 7.98512e10i 0.982011 + 0.982011i
\(535\) −4.80805e9 + 9.98403e9i −0.0586887 + 0.121868i
\(536\) −3.66882e9 3.25617e10i −0.0444496 0.394501i
\(537\) −1.74640e11 + 1.96772e10i −2.10013 + 0.236628i
\(538\) −6.56197e10 3.16008e10i −0.783259 0.377198i
\(539\) −8.67977e10 + 8.67977e10i −1.02838 + 1.02838i
\(540\) 1.17901e11 + 3.36942e11i 1.38657 + 3.96260i
\(541\) −2.12669e10 3.38461e10i −0.248265 0.395111i 0.699223 0.714904i \(-0.253530\pi\)
−0.947488 + 0.319793i \(0.896387\pi\)
\(542\) 5.73728e10 2.76293e10i 0.664828 0.320164i
\(543\) 5.84218e10 1.66960e11i 0.672010 1.92049i
\(544\) 4.11849e10 9.40018e9i 0.470265 0.107335i
\(545\) −5.48691e10 + 6.88037e10i −0.621930 + 0.779876i
\(546\) 1.98444e9 + 2.48840e9i 0.0223289 + 0.0279995i
\(547\) −1.23842e10 + 5.42589e10i −0.138331 + 0.606068i 0.857471 + 0.514533i \(0.172035\pi\)
−0.995802 + 0.0915355i \(0.970823\pi\)
\(548\) 4.40345e9 7.00804e9i 0.0488282 0.0777096i
\(549\) 1.43107e10 1.27011e11i 0.157533 1.39814i
\(550\) 6.88458e10i 0.752362i
\(551\) −3.90381e10 1.73963e10i −0.423528 0.188734i
\(552\) −1.71248e11 −1.84446
\(553\) 7.13066e9 + 8.03432e8i 0.0762481 + 0.00859110i
\(554\) 1.75348e11 + 1.10179e11i 1.86150 + 1.16966i
\(555\) 1.45444e11 + 3.31966e10i 1.53293 + 0.349882i
\(556\) 8.64160e10 6.89144e10i 0.904263 0.721126i
\(557\) −6.07910e9 4.84792e9i −0.0631566 0.0503657i 0.591403 0.806376i \(-0.298574\pi\)
−0.654559 + 0.756011i \(0.727146\pi\)
\(558\) 1.11006e11 + 4.86349e11i 1.14501 + 5.01662i
\(559\) −2.21430e10 7.74816e9i −0.226772 0.0793508i
\(560\) 1.24086e9 + 2.57667e9i 0.0126174 + 0.0262003i
\(561\) 8.86039e10 5.56735e10i 0.894543 0.562079i
\(562\) 1.75961e10 6.15714e9i 0.176389 0.0617211i
\(563\) −1.18579e11 1.18579e11i −1.18025 1.18025i −0.979679 0.200572i \(-0.935720\pi\)
−0.200572 0.979679i \(-0.564280\pi\)
\(564\) −7.78187e10 + 1.61592e11i −0.769073 + 1.59700i
\(565\) −5.64293e9 5.00824e10i −0.0553747 0.491464i
\(566\) 9.97264e10 1.12365e10i 0.971728 0.109487i
\(567\) −3.13978e10 1.51204e10i −0.303786 0.146296i
\(568\) 7.58062e10 7.58062e10i 0.728302 0.728302i
\(569\) 2.89745e10 + 8.28042e10i 0.276418 + 0.789957i 0.995477 + 0.0950077i \(0.0302876\pi\)
−0.719059 + 0.694949i \(0.755427\pi\)
\(570\) −6.47154e10 1.02994e11i −0.613067 0.975690i
\(571\) 7.84173e10 3.77638e10i 0.737679 0.355247i −0.0270203 0.999635i \(-0.508602\pi\)
0.764699 + 0.644388i \(0.222888\pi\)
\(572\) −1.10833e10 + 3.16742e10i −0.103534 + 0.295884i
\(573\) −9.34773e10 + 2.13356e10i −0.867137 + 0.197918i
\(574\) 4.71851e9 5.91682e9i 0.0434667 0.0545056i
\(575\) −3.58340e10 4.49344e10i −0.327811 0.411062i
\(576\) 1.10501e11 4.84135e11i 1.00386 4.39822i
\(577\) 7.74206e10 1.23214e11i 0.698479 1.11162i −0.289522 0.957171i \(-0.593496\pi\)
0.988000 0.154451i \(-0.0493609\pi\)
\(578\) 1.67041e10 1.48253e11i 0.149662 1.32829i
\(579\) 3.87063e11i 3.44404i
\(580\) 6.48140e10 1.10263e11i 0.572739 0.974359i
\(581\) 1.02426e10 0.0898885
\(582\) −1.94684e11 2.19356e10i −1.69683 0.191187i
\(583\) 9.48854e10 + 5.96204e10i 0.821344 + 0.516085i
\(584\) 7.71028e9 + 1.75982e9i 0.0662855 + 0.0151292i
\(585\) −3.33990e10 + 2.66348e10i −0.285174 + 0.227419i
\(586\) −4.45176e10 3.55016e10i −0.377521 0.301063i
\(587\) 2.59117e10 + 1.13527e11i 0.218245 + 0.956192i 0.958774 + 0.284169i \(0.0917176\pi\)
−0.740530 + 0.672024i \(0.765425\pi\)
\(588\) −3.06001e11 1.07075e11i −2.55985 0.895729i
\(589\) −2.79735e10 5.80877e10i −0.232427 0.482639i
\(590\) −1.10577e11 + 6.94799e10i −0.912547 + 0.573391i
\(591\) −1.11717e11 + 3.90913e10i −0.915731 + 0.320428i
\(592\) −3.97525e10 3.97525e10i −0.323652 0.323652i
\(593\) 2.42681e10 5.03931e10i 0.196253 0.407523i −0.779499 0.626404i \(-0.784526\pi\)
0.975752 + 0.218880i \(0.0702404\pi\)
\(594\) −1.16939e11 1.03787e12i −0.939323 8.33672i
\(595\) −2.83259e9 + 3.19156e8i −0.0226004 + 0.00254645i
\(596\) −1.79060e11 8.62305e10i −1.41910 0.683402i
\(597\) −3.20788e10 + 3.20788e10i −0.252535 + 0.252535i
\(598\) −1.59377e10 4.55474e10i −0.124630 0.356172i
\(599\) −3.53937e10 5.63288e10i −0.274928 0.437545i 0.680509 0.732739i \(-0.261759\pi\)
−0.955437 + 0.295194i \(0.904616\pi\)
\(600\) −4.54536e10 + 2.18893e10i −0.350722 + 0.168899i
\(601\) −4.56700e10 + 1.30517e11i −0.350052 + 1.00039i 0.625424 + 0.780285i \(0.284926\pi\)
−0.975476 + 0.220106i \(0.929360\pi\)
\(602\) −2.33146e10 + 5.32140e9i −0.177518 + 0.0405173i
\(603\) −1.59215e11 + 1.99649e11i −1.20424 + 1.51007i
\(604\) 4.19673e10 + 5.26254e10i 0.315329 + 0.395410i
\(605\) −2.77484e10 + 1.21574e11i −0.207117 + 0.907439i
\(606\) 5.65389e10 8.99812e10i 0.419235 0.667208i
\(607\) 1.94811e10 1.72900e11i 0.143503 1.27362i −0.691096 0.722763i \(-0.742872\pi\)
0.834599 0.550858i \(-0.185699\pi\)
\(608\) 8.34062e10i 0.610357i
\(609\) 5.17734e9 + 1.99439e10i 0.0376389 + 0.144991i
\(610\) −8.51535e10 −0.615011
\(611\) −1.39345e10 1.57004e9i −0.0999828 0.0112654i
\(612\) 1.73770e11 + 1.09187e11i 1.23871 + 0.778332i
\(613\) 9.85765e9 + 2.24995e9i 0.0698123 + 0.0159342i 0.257284 0.966336i \(-0.417172\pi\)
−0.187472 + 0.982270i \(0.560029\pi\)
\(614\) 2.39672e11 1.91132e11i 1.68633 1.34481i
\(615\) 1.06945e11 + 8.52859e10i 0.747585 + 0.596179i
\(616\) 2.11201e9 + 9.25331e9i 0.0146681 + 0.0642649i
\(617\) 1.67403e11 + 5.85769e10i 1.15511 + 0.404190i 0.838786 0.544461i \(-0.183266\pi\)
0.316323 + 0.948652i \(0.397552\pi\)
\(618\) 3.01661e10 + 6.26406e10i 0.206807 + 0.429440i
\(619\) 1.14420e11 7.18948e10i 0.779361 0.489705i −0.0826597 0.996578i \(-0.526341\pi\)
0.862021 + 0.506873i \(0.169199\pi\)
\(620\) 1.82115e11 6.37249e10i 1.23248 0.431263i
\(621\) 6.16530e11 + 6.16530e11i 4.14560 + 4.14560i
\(622\) −1.18411e11 + 2.45884e11i −0.791101 + 1.64274i
\(623\) 5.85011e8 + 5.19211e9i 0.00388339 + 0.0344661i
\(624\) 2.15426e10 2.42726e9i 0.142089 0.0160095i
\(625\) 7.64270e10 + 3.68053e10i 0.500872 + 0.241207i
\(626\) 1.51203e11 1.51203e11i 0.984609 0.984609i
\(627\) 6.82378e10 + 1.95012e11i 0.441524 + 1.26180i
\(628\) −2.03075e10 3.23193e10i −0.130563 0.207789i
\(629\) 5.04852e10 2.43124e10i 0.322523 0.155319i
\(630\) −1.43827e10 + 4.11033e10i −0.0913013 + 0.260924i
\(631\) −8.87654e9 + 2.02601e9i −0.0559920 + 0.0127798i −0.250425 0.968136i \(-0.580570\pi\)
0.194433 + 0.980916i \(0.437713\pi\)
\(632\) −5.95428e10 + 7.46643e10i −0.373216 + 0.467999i
\(633\) 1.25607e11 + 1.57506e11i 0.782344 + 0.981029i
\(634\) −3.16950e10 + 1.38865e11i −0.196170 + 0.859478i
\(635\) 1.22487e10 1.94937e10i 0.0753347 0.119894i
\(636\) −3.31375e10 + 2.94103e11i −0.202531 + 1.79751i
\(637\) 2.53468e10i 0.153945i
\(638\) −2.56665e11 + 2.72322e11i −1.54912 + 1.64362i
\(639\) −8.35464e11 −5.01100
\(640\) −1.49543e11 1.68494e10i −0.891344 0.100430i
\(641\) −2.23293e11 1.40304e11i −1.32264 0.831072i −0.329075 0.944304i \(-0.606737\pi\)
−0.993569 + 0.113232i \(0.963880\pi\)
\(642\) 8.34823e10 + 1.90543e10i 0.491422 + 0.112164i
\(643\) 1.91901e10 1.53036e10i 0.112262 0.0895260i −0.565750 0.824577i \(-0.691413\pi\)
0.678012 + 0.735051i \(0.262842\pi\)
\(644\) −2.23268e10 1.78050e10i −0.129803 0.103514i
\(645\) −9.61831e10 4.21406e11i −0.555725 2.43479i
\(646\) −4.31240e10 1.50897e10i −0.247622 0.0866466i
\(647\) −5.09636e10 1.05827e11i −0.290833 0.603920i 0.703445 0.710750i \(-0.251644\pi\)
−0.994277 + 0.106830i \(0.965930\pi\)
\(648\) 3.92702e11 2.46751e11i 2.22722 1.39945i
\(649\) 2.09370e11 7.32616e10i 1.18014 0.412950i
\(650\) −1.00522e10 1.00522e10i −0.0563132 0.0563132i
\(651\) −1.34864e10 + 2.80048e10i −0.0750883 + 0.155922i
\(652\) 1.16894e10 + 1.03746e11i 0.0646847 + 0.574092i
\(653\) −1.37372e11 + 1.54781e10i −0.755520 + 0.0851267i −0.481319 0.876546i \(-0.659842\pi\)
−0.274201 + 0.961672i \(0.588413\pi\)
\(654\) 6.12681e11 + 2.95051e11i 3.34906 + 1.61282i
\(655\) −9.67203e10 + 9.67203e10i −0.525475 + 0.525475i
\(656\) −1.70249e10 4.86545e10i −0.0919327 0.262729i
\(657\) −3.27901e10 5.21852e10i −0.175988 0.280083i
\(658\) −1.28788e10 + 6.20213e9i −0.0687026 + 0.0330854i
\(659\) 4.88177e10 1.39513e11i 0.258842 0.739729i −0.738977 0.673730i \(-0.764691\pi\)
0.997820 0.0659989i \(-0.0210234\pi\)
\(660\) −6.02796e11 + 1.37584e11i −3.17684 + 0.725092i
\(661\) 1.70617e10 2.13947e10i 0.0893752 0.112073i −0.735133 0.677923i \(-0.762880\pi\)
0.824508 + 0.565850i \(0.191452\pi\)
\(662\) −6.73632e9 8.44708e9i −0.0350744 0.0439820i
\(663\) −4.80820e9 + 2.10661e10i −0.0248845 + 0.109026i
\(664\) −7.25233e10 + 1.15420e11i −0.373083 + 0.593758i
\(665\) 6.30139e8 5.59264e9i 0.00322218 0.0285977i
\(666\) 8.56030e11i 4.35103i
\(667\) 2.57779e10 3.11333e11i 0.130240 1.57297i
\(668\) 3.10921e11 1.56151
\(669\) −2.02931e11 2.28648e10i −1.01308 0.114147i
\(670\) 1.44052e11 + 9.05137e10i 0.714857 + 0.449175i
\(671\) 1.41010e11 + 3.21846e10i 0.695599 + 0.158766i
\(672\) 3.14384e10 2.50713e10i 0.154164 0.122942i
\(673\) −6.88929e10 5.49402e10i −0.335826 0.267812i 0.441028 0.897493i \(-0.354614\pi\)
−0.776853 + 0.629681i \(0.783185\pi\)
\(674\) −3.68333e10 1.61377e11i −0.178485 0.781992i
\(675\) 2.42449e11 + 8.48365e10i 1.16790 + 0.408665i
\(676\) 1.22394e11 + 2.54153e11i 0.586100 + 1.21705i
\(677\) −1.08075e10 + 6.79080e9i −0.0514482 + 0.0323270i −0.557511 0.830170i \(-0.688243\pi\)
0.506062 + 0.862497i \(0.331101\pi\)
\(678\) −3.67595e11 + 1.28627e11i −1.73960 + 0.608714i
\(679\) −6.40975e9 6.40975e9i −0.0301552 0.0301552i
\(680\) 1.64599e10 3.41793e10i 0.0769824 0.159856i
\(681\) 3.30756e10 + 2.93554e11i 0.153787 + 1.36489i
\(682\) −5.60961e11 + 6.32052e10i −2.59296 + 0.292156i
\(683\) 2.39025e11 + 1.15109e11i 1.09840 + 0.528962i 0.893155 0.449748i \(-0.148486\pi\)
0.205246 + 0.978710i \(0.434201\pi\)
\(684\) −2.86517e11 + 2.86517e11i −1.30896 + 1.30896i
\(685\) 3.93790e9 + 1.12539e10i 0.0178856 + 0.0511140i
\(686\) −2.75733e10 4.38827e10i −0.124507 0.198151i
\(687\) 1.79471e11 8.64287e10i 0.805689 0.387999i
\(688\) −5.37979e10 + 1.53746e11i −0.240111 + 0.686197i
\(689\) −2.25596e10 + 5.14907e9i −0.100105 + 0.0228482i
\(690\) 5.54352e11 6.95135e11i 2.44562 3.06671i
\(691\) −4.22338e10 5.29596e10i −0.185246 0.232291i 0.680533 0.732717i \(-0.261748\pi\)
−0.865779 + 0.500426i \(0.833177\pi\)
\(692\) 5.77585e10 2.53056e11i 0.251879 1.10355i
\(693\) 3.93523e10 6.26288e10i 0.170623 0.271545i
\(694\) −6.36769e10 + 5.65148e11i −0.274501 + 2.43627i
\(695\) 1.59225e11i 0.682450i
\(696\) −2.61399e11 8.28723e10i −1.11395 0.353161i
\(697\) 5.13782e10 0.217695
\(698\) −2.57726e11 2.90388e10i −1.08577 0.122337i
\(699\) −4.85104e11 3.04811e11i −2.03201 1.27680i
\(700\) −8.20198e9 1.87205e9i −0.0341607 0.00779696i
\(701\) 9.03834e10 7.20784e10i 0.374297 0.298492i −0.418215 0.908348i \(-0.637344\pi\)
0.792512 + 0.609856i \(0.208773\pi\)
\(702\) 1.68614e11 + 1.34465e11i 0.694298 + 0.553684i
\(703\) 2.46183e10 + 1.07860e11i 0.100794 + 0.441610i
\(704\) 5.30406e11 + 1.85597e11i 2.15933 + 0.755581i
\(705\) −1.12102e11 2.32782e11i −0.453792 0.942309i
\(706\) −2.86300e11 + 1.79894e11i −1.15240 + 0.724099i
\(707\) 4.64104e9 1.62397e9i 0.0185754 0.00649980i
\(708\) 4.14250e11 + 4.14250e11i 1.64865 + 1.64865i
\(709\) 1.36121e10 2.82659e10i 0.0538693 0.111861i −0.872297 0.488977i \(-0.837370\pi\)
0.926166 + 0.377117i \(0.123084\pi\)
\(710\) 6.23204e10 + 5.53109e11i 0.245243 + 2.17659i
\(711\) 7.39551e11 8.33274e10i 2.89394 0.326069i
\(712\) −6.26504e10 3.01708e10i −0.243783 0.117400i
\(713\) 3.33231e11 3.33231e11i 1.28940 1.28940i
\(714\) 7.27495e9 + 2.07906e10i 0.0279922 + 0.0799972i
\(715\) −2.57190e10 4.09316e10i −0.0984080 0.156615i
\(716\) 3.51407e11 1.69229e11i 1.33708 0.643905i
\(717\) −1.31489e11 + 3.75774e11i −0.497523 + 1.42184i
\(718\) −4.43517e11 + 1.01230e11i −1.66883 + 0.380900i
\(719\) −2.99484e11 + 3.75541e11i −1.12062 + 1.40521i −0.217372 + 0.976089i \(0.569749\pi\)
−0.903246 + 0.429122i \(0.858823\pi\)
\(720\) 1.84934e11 + 2.31900e11i 0.688155 + 0.862920i
\(721\) −7.15820e8 + 3.13621e9i −0.00264888 + 0.0116055i
\(722\) −1.75231e11 + 2.78879e11i −0.644856 + 1.02628i
\(723\) 6.15058e10 5.45879e11i 0.225093 1.99776i
\(724\) 3.92566e11i 1.42876i
\(725\) −3.29531e10 8.59306e10i −0.119274 0.311025i
\(726\) 9.63591e11 3.46854
\(727\) −2.03270e11 2.29031e10i −0.727674 0.0819891i −0.259647 0.965704i \(-0.583606\pi\)
−0.468027 + 0.883714i \(0.655035\pi\)
\(728\) −1.65946e9 1.04271e9i −0.00590802 0.00371225i
\(729\) −1.50789e12 3.44166e11i −5.33899 1.21859i
\(730\) −3.21026e10 + 2.56010e10i −0.113044 + 0.0901500i
\(731\) −1.26932e11 1.01225e11i −0.444532 0.354502i
\(732\) 8.50021e10 + 3.72418e11i 0.296064 + 1.29714i
\(733\) 4.65999e11 + 1.63060e11i 1.61424 + 0.564849i 0.978355 0.206932i \(-0.0663478\pi\)
0.635889 + 0.771780i \(0.280634\pi\)
\(734\) −1.77814e11 3.69235e11i −0.612607 1.27209i
\(735\) 3.95436e11 2.48469e11i 1.35496 0.851379i
\(736\) −5.75444e11 + 2.01357e11i −1.96107 + 0.686207i
\(737\) −2.04332e11 2.04332e11i −0.692574 0.692574i
\(738\) 3.40555e11 7.07170e11i 1.14805 2.38396i
\(739\) 2.83291e10 + 2.51428e11i 0.0949849 + 0.843015i 0.947379 + 0.320115i \(0.103721\pi\)
−0.852394 + 0.522900i \(0.824850\pi\)
\(740\) −3.29005e11 + 3.70699e10i −1.09717 + 0.123622i
\(741\) −3.84374e10 1.85105e10i −0.127492 0.0613967i
\(742\) −1.66794e10 + 1.66794e10i −0.0550256 + 0.0550256i
\(743\) 5.61985e9 + 1.60606e10i 0.0184404 + 0.0526996i 0.952736 0.303801i \(-0.0982556\pi\)
−0.934295 + 0.356500i \(0.883970\pi\)
\(744\) −2.20085e11 3.50264e11i −0.718289 1.14315i
\(745\) 2.57945e11 1.24220e11i 0.837339 0.403241i
\(746\) −5.42443e10 + 1.55021e11i −0.175145 + 0.500537i
\(747\) 1.03567e12 2.36384e11i 3.32612 0.759164i
\(748\) −1.44797e11 + 1.81569e11i −0.462543 + 0.580011i
\(749\) 2.47023e9 + 3.09758e9i 0.00784894 + 0.00984226i
\(750\) 2.33258e11 1.02197e12i 0.737211 3.22993i
\(751\) −4.81371e10 + 7.66097e10i −0.151328 + 0.240837i −0.913782 0.406205i \(-0.866852\pi\)
0.762454 + 0.647043i \(0.223995\pi\)
\(752\) −1.09013e10 + 9.67514e10i −0.0340883 + 0.302542i
\(753\) 1.16959e12i 3.63793i
\(754\) −2.28612e9 7.72380e10i −0.00707315 0.238971i
\(755\) −9.69641e10 −0.298417
\(756\) 1.26826e11 + 1.42899e10i 0.388260 + 0.0437464i
\(757\) −2.24719e11 1.41201e11i −0.684317 0.429985i 0.144500 0.989505i \(-0.453843\pi\)
−0.828817 + 0.559520i \(0.810985\pi\)
\(758\) 8.29961e11 + 1.89433e11i 2.51409 + 0.573824i
\(759\) −1.18071e12 + 9.41586e11i −3.55776 + 2.83722i
\(760\) 5.85599e10 + 4.67000e10i 0.175528 + 0.139979i
\(761\) −4.90906e10 2.15080e11i −0.146373 0.641301i −0.993875 0.110509i \(-0.964752\pi\)
0.847502 0.530792i \(-0.178105\pi\)
\(762\) −1.67918e11 5.87569e10i −0.498054