Properties

Label 29.9.f.a.15.16
Level $29$
Weight $9$
Character 29.15
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 15.16
Character \(\chi\) \(=\) 29.15
Dual form 29.9.f.a.2.16

$q$-expansion

\(f(q)\) \(=\) \(q+(19.6004 - 2.20843i) q^{2} +(-83.4552 + 52.4384i) q^{3} +(129.715 - 29.6067i) q^{4} +(14.4052 + 11.4877i) q^{5} +(-1519.95 + 1212.12i) q^{6} +(772.012 - 3382.40i) q^{7} +(-2289.00 + 800.955i) q^{8} +(1368.27 - 2841.25i) q^{9} +O(q^{10})\) \(q+(19.6004 - 2.20843i) q^{2} +(-83.4552 + 52.4384i) q^{3} +(129.715 - 29.6067i) q^{4} +(14.4052 + 11.4877i) q^{5} +(-1519.95 + 1212.12i) q^{6} +(772.012 - 3382.40i) q^{7} +(-2289.00 + 800.955i) q^{8} +(1368.27 - 2841.25i) q^{9} +(307.716 + 193.351i) q^{10} +(-19598.3 - 6857.75i) q^{11} +(-9272.90 + 9272.90i) q^{12} +(-21261.3 - 44149.6i) q^{13} +(7661.90 - 68001.3i) q^{14} +(-1804.58 - 203.328i) q^{15} +(-73784.4 + 35532.7i) q^{16} +(58343.9 + 58343.9i) q^{17} +(20544.0 - 58711.2i) q^{18} +(-14594.5 + 23227.1i) q^{19} +(2208.69 + 1063.65i) q^{20} +(112939. + 322762. i) q^{21} +(-399279. - 91132.9i) q^{22} +(228462. + 286483. i) q^{23} +(149028. - 186875. i) q^{24} +(-86846.7 - 380500. i) q^{25} +(-514231. - 818394. i) q^{26} +(-37602.9 - 333735. i) q^{27} -461607. i q^{28} +(-59396.6 + 704783. i) q^{29} -35819.5 q^{30} +(-1.06683e6 + 120203. i) q^{31} +(-842064. + 529104. i) q^{32} +(1.99519e6 - 455390. i) q^{33} +(1.27241e6 + 1.01471e6i) q^{34} +(49977.1 - 39855.4i) q^{35} +(93366.2 - 409064. i) q^{36} +(-652675. + 228381. i) q^{37} +(-234763. + 487490. i) q^{38} +(4.08950e6 + 2.56960e6i) q^{39} +(-42174.6 - 14757.5i) q^{40} +(826924. - 826924. i) q^{41} +(2.92645e6 + 6.07684e6i) q^{42} +(88820.7 - 788306. i) q^{43} +(-2.74524e6 - 309315. i) q^{44} +(52349.7 - 25210.3i) q^{45} +(5.11062e6 + 5.11062e6i) q^{46} +(-1.58392e6 + 4.52658e6i) q^{47} +(4.29441e6 - 6.83452e6i) q^{48} +(-5.65075e6 - 2.72126e6i) q^{49} +(-2.54254e6 - 7.26615e6i) q^{50} +(-7.92856e6 - 1.80964e6i) q^{51} +(-4.06505e6 - 5.09741e6i) q^{52} +(6.31622e6 - 7.92028e6i) q^{53} +(-1.47406e6 - 6.45828e6i) q^{54} +(-203537. - 323928. i) q^{55} +(942021. + 8.36067e6i) q^{56} -2.70373e6i q^{57} +(392269. + 1.39452e7i) q^{58} -1.26885e7 q^{59} +(-240102. + 27053.0i) q^{60} +(-5.41484e6 + 3.40237e6i) q^{61} +(-2.06449e7 + 4.71206e6i) q^{62} +(-8.55393e6 - 6.82153e6i) q^{63} +(1.05482e6 - 841189. i) q^{64} +(200906. - 880227. i) q^{65} +(3.81008e7 - 1.33320e7i) q^{66} +(8.93817e6 - 1.85603e7i) q^{67} +(9.29548e6 + 5.84074e6i) q^{68} +(-3.40891e7 - 1.19283e7i) q^{69} +(891552. - 891552. i) q^{70} +(-7.98729e6 - 1.65858e7i) q^{71} +(-856263. + 7.59954e6i) q^{72} +(1.56965e7 + 1.76857e6i) q^{73} +(-1.22883e7 + 5.91774e6i) q^{74} +(2.72006e7 + 2.72006e7i) q^{75} +(-1.20546e6 + 3.44501e6i) q^{76} +(-3.83258e7 + 6.09952e7i) q^{77} +(8.58305e7 + 4.13338e7i) q^{78} +(-2.06555e7 - 5.90300e7i) q^{79} +(-1.47107e6 - 335761. i) q^{80} +(3.35389e7 + 4.20565e7i) q^{81} +(1.43818e7 - 1.80342e7i) q^{82} +(-3.24788e6 - 1.42299e7i) q^{83} +(2.42059e7 + 3.85235e7i) q^{84} +(170214. + 1.51069e6i) q^{85} -1.56472e7i q^{86} +(-3.20007e7 - 6.19324e7i) q^{87} +5.03533e7 q^{88} +(-1.95390e7 + 2.20152e6i) q^{89} +(970399. - 609742. i) q^{90} +(-1.65746e8 + 3.78304e7i) q^{91} +(3.81169e7 + 3.03972e7i) q^{92} +(8.27295e7 - 6.59746e7i) q^{93} +(-2.10488e7 + 9.22207e7i) q^{94} +(-477063. + 166932. i) q^{95} +(4.25293e7 - 8.83129e7i) q^{96} +(1.31178e8 + 8.24246e7i) q^{97} +(-1.16766e8 - 4.08584e7i) q^{98} +(-4.63005e7 + 4.63005e7i) 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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{27}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 19.6004 2.20843i 1.22502 0.138027i 0.524346 0.851506i \(-0.324310\pi\)
0.700677 + 0.713479i \(0.252881\pi\)
\(3\) −83.4552 + 52.4384i −1.03031 + 0.647387i −0.937388 0.348286i \(-0.886764\pi\)
−0.0929226 + 0.995673i \(0.529621\pi\)
\(4\) 129.715 29.6067i 0.506701 0.115651i
\(5\) 14.4052 + 11.4877i 0.0230483 + 0.0183804i 0.634946 0.772556i \(-0.281022\pi\)
−0.611898 + 0.790937i \(0.709594\pi\)
\(6\) −1519.95 + 1212.12i −1.17280 + 0.935275i
\(7\) 772.012 3382.40i 0.321538 1.40875i −0.513280 0.858221i \(-0.671570\pi\)
0.834817 0.550527i \(-0.185573\pi\)
\(8\) −2289.00 + 800.955i −0.558838 + 0.195546i
\(9\) 1368.27 2841.25i 0.208546 0.433051i
\(10\) 307.716 + 193.351i 0.0307716 + 0.0193351i
\(11\) −19598.3 6857.75i −1.33859 0.468394i −0.436410 0.899748i \(-0.643750\pi\)
−0.902183 + 0.431354i \(0.858036\pi\)
\(12\) −9272.90 + 9272.90i −0.447188 + 0.447188i
\(13\) −21261.3 44149.6i −0.744418 1.54580i −0.835211 0.549930i \(-0.814654\pi\)
0.0907927 0.995870i \(-0.471060\pi\)
\(14\) 7661.90 68001.3i 0.199446 1.77013i
\(15\) −1804.58 203.328i −0.0356461 0.00401635i
\(16\) −73784.4 + 35532.7i −1.12586 + 0.542186i
\(17\) 58343.9 + 58343.9i 0.698554 + 0.698554i 0.964099 0.265544i \(-0.0855517\pi\)
−0.265544 + 0.964099i \(0.585552\pi\)
\(18\) 20544.0 58711.2i 0.195701 0.559283i
\(19\) −14594.5 + 23227.1i −0.111989 + 0.178230i −0.898016 0.439962i \(-0.854992\pi\)
0.786027 + 0.618192i \(0.212135\pi\)
\(20\) 2208.69 + 1063.65i 0.0138043 + 0.00664780i
\(21\) 112939. + 322762.i 0.580722 + 1.65961i
\(22\) −399279. 91132.9i −1.70446 0.389031i
\(23\) 228462. + 286483.i 0.816401 + 1.02373i 0.999176 + 0.0405794i \(0.0129204\pi\)
−0.182776 + 0.983155i \(0.558508\pi\)
\(24\) 149028. 186875.i 0.449183 0.563257i
\(25\) −86846.7 380500.i −0.222328 0.974081i
\(26\) −514231. 818394.i −1.12529 1.79089i
\(27\) −37602.9 333735.i −0.0707565 0.627981i
\(28\) 461607.i 0.751000i
\(29\) −59396.6 + 704783.i −0.0839788 + 0.996468i
\(30\) −35819.5 −0.0442217
\(31\) −1.06683e6 + 120203.i −1.15518 + 0.130158i −0.668699 0.743533i \(-0.733149\pi\)
−0.486482 + 0.873691i \(0.661720\pi\)
\(32\) −842064. + 529104.i −0.803055 + 0.504593i
\(33\) 1.99519e6 455390.i 1.68240 0.383997i
\(34\) 1.27241e6 + 1.01471e6i 0.952164 + 0.759325i
\(35\) 49977.1 39855.4i 0.0333042 0.0265592i
\(36\) 93366.2 409064.i 0.0555878 0.243546i
\(37\) −652675. + 228381.i −0.348249 + 0.121858i −0.498735 0.866755i \(-0.666202\pi\)
0.150486 + 0.988612i \(0.451916\pi\)
\(38\) −234763. + 487490.i −0.112589 + 0.233793i
\(39\) 4.08950e6 + 2.56960e6i 1.76771 + 1.11073i
\(40\) −42174.6 14757.5i −0.0164744 0.00576466i
\(41\) 826924. 826924.i 0.292638 0.292638i −0.545484 0.838121i \(-0.683654\pi\)
0.838121 + 0.545484i \(0.183654\pi\)
\(42\) 2.92645e6 + 6.07684e6i 0.940468 + 1.95290i
\(43\) 88820.7 788306.i 0.0259801 0.230580i −0.974012 0.226498i \(-0.927272\pi\)
0.999992 0.00408141i \(-0.00129916\pi\)
\(44\) −2.74524e6 309315.i −0.732437 0.0825258i
\(45\) 52349.7 25210.3i 0.0127663 0.00614792i
\(46\) 5.11062e6 + 5.11062e6i 1.14141 + 1.14141i
\(47\) −1.58392e6 + 4.52658e6i −0.324595 + 0.927639i 0.659765 + 0.751472i \(0.270656\pi\)
−0.984360 + 0.176167i \(0.943630\pi\)
\(48\) 4.29441e6 6.83452e6i 0.808982 1.28749i
\(49\) −5.65075e6 2.72126e6i −0.980216 0.472047i
\(50\) −2.54254e6 7.26615e6i −0.406806 1.16258i
\(51\) −7.92856e6 1.80964e6i −1.17196 0.267493i
\(52\) −4.06505e6 5.09741e6i −0.555971 0.697166i
\(53\) 6.31622e6 7.92028e6i 0.800485 1.00378i −0.199231 0.979953i \(-0.563844\pi\)
0.999716 0.0238244i \(-0.00758426\pi\)
\(54\) −1.47406e6 6.45828e6i −0.173357 0.759525i
\(55\) −203537. 323928.i −0.0222430 0.0353995i
\(56\) 942021. + 8.36067e6i 0.0957874 + 0.850137i
\(57\) 2.70373e6i 0.256132i
\(58\) 392269. + 1.39452e7i 0.0346634 + 1.23229i
\(59\) −1.26885e7 −1.04713 −0.523566 0.851985i \(-0.675399\pi\)
−0.523566 + 0.851985i \(0.675399\pi\)
\(60\) −240102. + 27053.0i −0.0185264 + 0.00208743i
\(61\) −5.41484e6 + 3.40237e6i −0.391080 + 0.245732i −0.713191 0.700970i \(-0.752751\pi\)
0.322110 + 0.946702i \(0.395608\pi\)
\(62\) −2.06449e7 + 4.71206e6i −1.39716 + 0.318892i
\(63\) −8.55393e6 6.82153e6i −0.543005 0.433032i
\(64\) 1.05482e6 841189.i 0.0628721 0.0501388i
\(65\) 200906. 880227.i 0.0112548 0.0493107i
\(66\) 3.81008e7 1.33320e7i 2.00797 0.702621i
\(67\) 8.93817e6 1.85603e7i 0.443557 0.921055i −0.552598 0.833448i \(-0.686364\pi\)
0.996155 0.0876073i \(-0.0279221\pi\)
\(68\) 9.29548e6 + 5.84074e6i 0.434747 + 0.273169i
\(69\) −3.40891e7 1.19283e7i −1.50390 0.526237i
\(70\) 891552. 891552.i 0.0371325 0.0371325i
\(71\) −7.98729e6 1.65858e7i −0.314316 0.652683i 0.682631 0.730763i \(-0.260835\pi\)
−0.996947 + 0.0780795i \(0.975121\pi\)
\(72\) −856263. + 7.59954e6i −0.0318623 + 0.282786i
\(73\) 1.56965e7 + 1.76857e6i 0.552729 + 0.0622776i 0.383912 0.923370i \(-0.374577\pi\)
0.168817 + 0.985647i \(0.446005\pi\)
\(74\) −1.22883e7 + 5.91774e6i −0.409793 + 0.197346i
\(75\) 2.72006e7 + 2.72006e7i 0.859674 + 0.859674i
\(76\) −1.20546e6 + 3.44501e6i −0.0361325 + 0.103261i
\(77\) −3.83258e7 + 6.09952e7i −1.09026 + 1.73513i
\(78\) 8.58305e7 + 4.13338e7i 2.31880 + 1.11667i
\(79\) −2.06555e7 5.90300e7i −0.530307 1.51553i −0.827921 0.560844i \(-0.810477\pi\)
0.297614 0.954686i \(-0.403809\pi\)
\(80\) −1.47107e6 335761.i −0.0359147 0.00819730i
\(81\) 3.35389e7 + 4.20565e7i 0.779129 + 0.976997i
\(82\) 1.43818e7 1.80342e7i 0.318096 0.398879i
\(83\) −3.24788e6 1.42299e7i −0.0684365 0.299840i 0.929114 0.369794i \(-0.120572\pi\)
−0.997550 + 0.0699543i \(0.977715\pi\)
\(84\) 2.42059e7 + 3.85235e7i 0.486188 + 0.773764i
\(85\) 170214. + 1.51069e6i 0.00326077 + 0.0289402i
\(86\) 1.56472e7i 0.286051i
\(87\) −3.20007e7 6.19324e7i −0.558576 1.08104i
\(88\) 5.03533e7 0.839648
\(89\) −1.95390e7 + 2.20152e6i −0.311417 + 0.0350883i −0.266290 0.963893i \(-0.585798\pi\)
−0.0451271 + 0.998981i \(0.514369\pi\)
\(90\) 970399. 609742.i 0.0147904 0.00929343i
\(91\) −1.65746e8 + 3.78304e7i −2.41700 + 0.551665i
\(92\) 3.81169e7 + 3.03972e7i 0.532067 + 0.424309i
\(93\) 8.27295e7 6.59746e7i 1.10593 0.881952i
\(94\) −2.10488e7 + 9.22207e7i −0.269597 + 1.18118i
\(95\) −477063. + 166932.i −0.00585708 + 0.00204948i
\(96\) 4.25293e7 8.83129e7i 0.500729 1.03977i
\(97\) 1.31178e8 + 8.24246e7i 1.48175 + 0.931043i 0.998454 + 0.0555844i \(0.0177022\pi\)
0.483293 + 0.875459i \(0.339441\pi\)
\(98\) −1.16766e8 4.08584e7i −1.26594 0.442972i
\(99\) −4.63005e7 + 4.63005e7i −0.481997 + 0.481997i
\(100\) −2.25307e7 4.67855e7i −0.225307 0.467855i
\(101\) −1.34644e6 + 1.19499e7i −0.0129390 + 0.114837i −0.998521 0.0543591i \(-0.982688\pi\)
0.985582 + 0.169196i \(0.0541170\pi\)
\(102\) −1.59399e8 1.79600e7i −1.47260 0.165922i
\(103\) 9.91204e7 4.77339e7i 0.880672 0.424109i 0.0618023 0.998088i \(-0.480315\pi\)
0.818870 + 0.573979i \(0.194601\pi\)
\(104\) 8.40290e7 + 8.40290e7i 0.718283 + 0.718283i
\(105\) −2.08090e6 + 5.94686e6i −0.0171196 + 0.0489250i
\(106\) 1.06309e8 1.69189e8i 0.842065 1.34014i
\(107\) −1.65564e8 7.97315e7i −1.26308 0.608268i −0.322093 0.946708i \(-0.604387\pi\)
−0.940988 + 0.338440i \(0.890101\pi\)
\(108\) −1.47585e7 4.21773e7i −0.108479 0.310016i
\(109\) 6.47953e6 + 1.47891e6i 0.0459026 + 0.0104770i 0.245411 0.969419i \(-0.421077\pi\)
−0.199508 + 0.979896i \(0.563934\pi\)
\(110\) −4.70478e6 5.89960e6i −0.0321342 0.0402951i
\(111\) 4.24932e7 5.32848e7i 0.279916 0.351003i
\(112\) 6.32235e7 + 2.77000e8i 0.401797 + 1.76039i
\(113\) −4.29708e7 6.83876e7i −0.263548 0.419434i 0.688568 0.725172i \(-0.258240\pi\)
−0.952116 + 0.305738i \(0.901097\pi\)
\(114\) −5.97100e6 5.29941e7i −0.0353531 0.313768i
\(115\) 6.75135e6i 0.0386011i
\(116\) 1.31616e7 + 9.31797e7i 0.0726906 + 0.514623i
\(117\) −1.54531e8 −0.824656
\(118\) −2.48699e8 + 2.80216e7i −1.28276 + 0.144532i
\(119\) 2.42385e8 1.52301e8i 1.20870 0.759475i
\(120\) 4.29355e6 979974.i 0.0207058 0.00472596i
\(121\) 1.69473e8 + 1.35151e8i 0.790606 + 0.630487i
\(122\) −9.86189e7 + 7.86459e7i −0.445165 + 0.355007i
\(123\) −2.56485e7 + 1.12374e8i −0.112058 + 0.490957i
\(124\) −1.34826e8 + 4.71777e7i −0.570278 + 0.199549i
\(125\) 6.24281e6 1.29633e7i 0.0255705 0.0530978i
\(126\) −1.82725e8 1.14814e8i −0.724963 0.455524i
\(127\) −3.49157e8 1.22175e8i −1.34217 0.469644i −0.438826 0.898572i \(-0.644606\pi\)
−0.903339 + 0.428928i \(0.858891\pi\)
\(128\) 1.98840e8 1.98840e8i 0.740737 0.740737i
\(129\) 3.39249e7 + 7.04458e7i 0.122507 + 0.254388i
\(130\) 1.99391e6 1.76965e7i 0.00698124 0.0619602i
\(131\) 2.57897e8 + 2.90580e7i 0.875712 + 0.0986691i 0.538365 0.842711i \(-0.319042\pi\)
0.337347 + 0.941381i \(0.390471\pi\)
\(132\) 2.45325e8 1.18142e8i 0.808064 0.389143i
\(133\) 6.72962e7 + 6.72962e7i 0.215072 + 0.215072i
\(134\) 1.34202e8 3.83528e8i 0.416237 1.18954i
\(135\) 3.29218e6 5.23948e6i 0.00991172 0.0157744i
\(136\) −1.80280e8 8.68183e7i −0.526978 0.253779i
\(137\) 1.36210e8 + 3.89266e8i 0.386658 + 1.10501i 0.958611 + 0.284719i \(0.0919002\pi\)
−0.571953 + 0.820286i \(0.693814\pi\)
\(138\) −6.94501e8 1.58515e8i −1.91494 0.437074i
\(139\) −1.07903e8 1.35306e8i −0.289051 0.362458i 0.616012 0.787737i \(-0.288747\pi\)
−0.905062 + 0.425279i \(0.860176\pi\)
\(140\) 5.30282e6 6.64953e6i 0.0138037 0.0173093i
\(141\) −1.05180e8 4.60825e8i −0.266108 1.16590i
\(142\) −1.93182e8 3.07448e8i −0.475132 0.756168i
\(143\) 1.13919e8 + 1.01106e9i 0.272429 + 2.41788i
\(144\) 2.58258e8i 0.600626i
\(145\) −8.95198e6 + 9.47018e6i −0.0202510 + 0.0214233i
\(146\) 3.11563e8 0.685701
\(147\) 6.14283e8 6.92131e7i 1.31552 0.148224i
\(148\) −7.79004e7 + 4.89481e7i −0.162365 + 0.102021i
\(149\) 7.74409e8 1.76754e8i 1.57118 0.358611i 0.653812 0.756657i \(-0.273169\pi\)
0.917365 + 0.398046i \(0.130312\pi\)
\(150\) 5.93213e8 + 4.73071e8i 1.17178 + 0.934462i
\(151\) 6.82842e7 5.44548e7i 0.131345 0.104744i −0.555614 0.831440i \(-0.687517\pi\)
0.686959 + 0.726697i \(0.258945\pi\)
\(152\) 1.48030e7 6.48563e7i 0.0277317 0.121500i
\(153\) 2.45600e8 8.59392e7i 0.448191 0.156829i
\(154\) −6.16497e8 + 1.28017e9i −1.09609 + 2.27606i
\(155\) −1.67488e7 1.05240e7i −0.0290173 0.0182328i
\(156\) 6.06549e8 + 2.12241e8i 1.02416 + 0.358369i
\(157\) −6.71788e8 + 6.71788e8i −1.10569 + 1.10569i −0.111980 + 0.993710i \(0.535719\pi\)
−0.993710 + 0.111980i \(0.964281\pi\)
\(158\) −5.35219e8 1.11139e9i −0.858822 1.78336i
\(159\) −1.11794e8 + 9.92201e8i −0.174916 + 1.55243i
\(160\) −1.82083e7 2.05158e6i −0.0277836 0.00313046i
\(161\) 1.14538e9 5.51584e8i 1.70469 0.820934i
\(162\) 7.50254e8 + 7.50254e8i 1.08930 + 1.08930i
\(163\) 1.71099e8 4.88971e8i 0.242379 0.692681i −0.756856 0.653582i \(-0.773266\pi\)
0.999235 0.0390989i \(-0.0124487\pi\)
\(164\) 8.27823e7 1.31747e8i 0.114436 0.182124i
\(165\) 3.39725e7 + 1.63603e7i 0.0458344 + 0.0220727i
\(166\) −9.50854e7 2.71738e8i −0.125222 0.357864i
\(167\) −4.83023e8 1.10247e8i −0.621014 0.141742i −0.0995738 0.995030i \(-0.531748\pi\)
−0.521440 + 0.853288i \(0.674605\pi\)
\(168\) −5.17036e8 6.48343e8i −0.649058 0.813894i
\(169\) −9.88543e8 + 1.23959e9i −1.21185 + 1.51961i
\(170\) 6.67253e6 + 2.92342e7i 0.00798904 + 0.0350023i
\(171\) 4.60246e7 + 7.32477e7i 0.0538276 + 0.0856662i
\(172\) −1.18177e7 1.04885e8i −0.0135027 0.119840i
\(173\) 6.13510e8i 0.684916i −0.939533 0.342458i \(-0.888741\pi\)
0.939533 0.342458i \(-0.111259\pi\)
\(174\) −7.63999e8 1.14323e9i −0.833481 1.24720i
\(175\) −1.35405e9 −1.44372
\(176\) 1.68973e9 1.90386e8i 1.76102 0.198420i
\(177\) 1.05892e9 6.65363e8i 1.07887 0.677900i
\(178\) −3.78110e8 + 8.63010e7i −0.376650 + 0.0859678i
\(179\) −8.28687e8 6.60856e8i −0.807195 0.643716i 0.130394 0.991462i \(-0.458376\pi\)
−0.937589 + 0.347746i \(0.886947\pi\)
\(180\) 6.04418e6 4.82007e6i 0.00575768 0.00459159i
\(181\) 1.89642e8 8.30877e8i 0.176694 0.774145i −0.806449 0.591304i \(-0.798613\pi\)
0.983142 0.182841i \(-0.0585295\pi\)
\(182\) −3.16513e9 + 1.10753e9i −2.88474 + 1.00941i
\(183\) 2.73482e8 5.67890e8i 0.243851 0.506361i
\(184\) −7.52410e8 4.72771e8i −0.656422 0.412457i
\(185\) −1.20255e7 4.20790e6i −0.0102663 0.00359234i
\(186\) 1.47583e9 1.47583e9i 1.23306 1.23306i
\(187\) −7.43336e8 1.54355e9i −0.607881 1.26228i
\(188\) −7.14417e7 + 6.34063e8i −0.0571900 + 0.507576i
\(189\) −1.15786e9 1.30459e8i −0.907418 0.102241i
\(190\) −8.98195e6 + 4.32548e6i −0.00689218 + 0.00331910i
\(191\) −5.72516e8 5.72516e8i −0.430184 0.430184i 0.458507 0.888691i \(-0.348384\pi\)
−0.888691 + 0.458507i \(0.848384\pi\)
\(192\) −4.39194e7 + 1.25515e8i −0.0323185 + 0.0923611i
\(193\) −6.99829e7 + 1.11377e8i −0.0504385 + 0.0802725i −0.870992 0.491298i \(-0.836523\pi\)
0.820553 + 0.571570i \(0.193666\pi\)
\(194\) 2.75316e9 + 1.32585e9i 1.94368 + 0.936028i
\(195\) 2.93910e7 + 8.39947e7i 0.0203271 + 0.0580916i
\(196\) −8.13557e8 1.85689e8i −0.551269 0.125824i
\(197\) −1.31589e9 1.65007e9i −0.873684 1.09557i −0.994690 0.102913i \(-0.967184\pi\)
0.121006 0.992652i \(-0.461388\pi\)
\(198\) −8.05255e8 + 1.00976e9i −0.523929 + 0.656986i
\(199\) 6.03545e8 + 2.64430e9i 0.384855 + 1.68616i 0.682020 + 0.731334i \(0.261102\pi\)
−0.297165 + 0.954826i \(0.596041\pi\)
\(200\) 5.03556e8 + 8.01404e8i 0.314722 + 0.500878i
\(201\) 2.27335e8 + 2.01766e9i 0.139278 + 1.23613i
\(202\) 2.37197e8i 0.142463i
\(203\) 2.33800e9 + 7.45004e8i 1.37677 + 0.438707i
\(204\) −1.08204e9 −0.624771
\(205\) 2.14115e7 2.41249e6i 0.0121236 0.00136600i
\(206\) 1.83738e9 1.15450e9i 1.02030 0.641100i
\(207\) 1.12657e9 2.57132e8i 0.613587 0.140047i
\(208\) 3.13751e9 + 2.50208e9i 1.67622 + 1.33674i
\(209\) 4.45314e8 3.55126e8i 0.233389 0.186122i
\(210\) −2.76531e7 + 1.21156e8i −0.0142189 + 0.0622972i
\(211\) −1.53360e8 + 5.36629e7i −0.0773716 + 0.0270735i −0.368687 0.929553i \(-0.620193\pi\)
0.291316 + 0.956627i \(0.405907\pi\)
\(212\) 5.84817e8 1.21439e9i 0.289519 0.601192i
\(213\) 1.53631e9 + 9.65329e8i 0.746382 + 0.468983i
\(214\) −3.42120e9 1.19713e9i −1.63126 0.570803i
\(215\) 1.03353e7 1.03353e7i 0.00483694 0.00483694i
\(216\) 3.53380e8 + 7.33801e8i 0.162340 + 0.337103i
\(217\) −4.17032e8 + 3.70126e9i −0.188075 + 1.66921i
\(218\) 1.30267e8 + 1.46776e7i 0.0576779 + 0.00649873i
\(219\) −1.40270e9 + 6.75503e8i −0.609800 + 0.293664i
\(220\) −3.59924e7 3.59924e7i −0.0153645 0.0153645i
\(221\) 1.33539e9 3.81633e9i 0.559809 1.59984i
\(222\) 7.15206e8 1.13824e9i 0.294455 0.468623i
\(223\) 8.60979e8 + 4.14626e8i 0.348155 + 0.167663i 0.599786 0.800161i \(-0.295252\pi\)
−0.251630 + 0.967823i \(0.580967\pi\)
\(224\) 1.13956e9 + 3.25668e9i 0.452632 + 1.29355i
\(225\) −1.19993e9 2.73875e8i −0.468192 0.106862i
\(226\) −9.93273e8 1.24552e9i −0.380745 0.477440i
\(227\) 2.43452e8 3.05279e8i 0.0916873 0.114972i −0.733872 0.679288i \(-0.762289\pi\)
0.825559 + 0.564316i \(0.190860\pi\)
\(228\) −8.00486e7 3.50716e8i −0.0296220 0.129782i
\(229\) −6.55957e8 1.04395e9i −0.238525 0.379610i 0.705914 0.708298i \(-0.250537\pi\)
−0.944439 + 0.328688i \(0.893394\pi\)
\(230\) 1.49099e7 + 1.32329e8i 0.00532798 + 0.0472872i
\(231\) 7.10011e9i 2.49355i
\(232\) −4.28541e8 1.66082e9i −0.147924 0.573285i
\(233\) −1.43859e9 −0.488104 −0.244052 0.969762i \(-0.578477\pi\)
−0.244052 + 0.969762i \(0.578477\pi\)
\(234\) −3.02887e9 + 3.41272e8i −1.01022 + 0.113825i
\(235\) −7.48169e7 + 4.70105e7i −0.0245317 + 0.0154143i
\(236\) −1.64589e9 + 3.75664e8i −0.530583 + 0.121102i
\(237\) 4.81925e9 + 3.84322e9i 1.52752 + 1.21815i
\(238\) 4.41449e9 3.52044e9i 1.37585 1.09721i
\(239\) −8.03750e8 + 3.52146e9i −0.246337 + 1.07927i 0.688790 + 0.724961i \(0.258142\pi\)
−0.935127 + 0.354312i \(0.884715\pi\)
\(240\) 1.40375e8 4.91193e7i 0.0423101 0.0148050i
\(241\) −2.22015e9 + 4.61019e9i −0.658134 + 1.36663i 0.258152 + 0.966104i \(0.416886\pi\)
−0.916286 + 0.400525i \(0.868828\pi\)
\(242\) 3.62021e9 + 2.27473e9i 1.05553 + 0.663236i
\(243\) −2.92454e9 1.02334e9i −0.838748 0.293491i
\(244\) −6.01655e8 + 6.01655e8i −0.169742 + 0.169742i
\(245\) −5.01389e7 1.04115e8i −0.0139159 0.0288966i
\(246\) −2.54551e8 + 2.25921e9i −0.0695080 + 0.616901i
\(247\) 1.33576e9 + 1.50504e8i 0.358874 + 0.0404354i
\(248\) 2.34570e9 1.12963e9i 0.620107 0.298628i
\(249\) 1.01724e9 + 1.01724e9i 0.264623 + 0.264623i
\(250\) 9.37327e7 2.67873e8i 0.0239956 0.0685754i
\(251\) −3.67857e9 + 5.85441e9i −0.926796 + 1.47499i −0.0474118 + 0.998875i \(0.515097\pi\)
−0.879384 + 0.476112i \(0.842046\pi\)
\(252\) −1.31154e9 6.31604e8i −0.325222 0.156618i
\(253\) −2.51285e9 7.18132e9i −0.613317 1.75276i
\(254\) −7.11342e9 1.62359e9i −1.70901 0.390069i
\(255\) −9.34236e7 1.17149e8i −0.0220951 0.0277064i
\(256\) 3.24287e9 4.06643e9i 0.755039 0.946790i
\(257\) −1.21198e9 5.31005e9i −0.277821 1.21721i −0.900542 0.434768i \(-0.856830\pi\)
0.622722 0.782443i \(-0.286027\pi\)
\(258\) 8.20515e8 + 1.30584e9i 0.185186 + 0.294722i
\(259\) 2.68604e8 + 2.38392e9i 0.0596916 + 0.529777i
\(260\) 1.20127e8i 0.0262874i
\(261\) 1.92119e9 + 1.13310e9i 0.414008 + 0.244177i
\(262\) 5.11905e9 1.08639
\(263\) −5.14766e9 + 5.80002e8i −1.07594 + 0.121229i −0.632106 0.774882i \(-0.717809\pi\)
−0.443831 + 0.896111i \(0.646381\pi\)
\(264\) −4.20224e9 + 2.64045e9i −0.865099 + 0.543578i
\(265\) 1.81972e8 4.15340e7i 0.0368996 0.00842210i
\(266\) 1.46765e9 + 1.17041e9i 0.293154 + 0.233782i
\(267\) 1.51519e9 1.20832e9i 0.298141 0.237759i
\(268\) 6.09909e8 2.67219e9i 0.118230 0.517997i
\(269\) 2.96328e9 1.03690e9i 0.565931 0.198028i −0.0321225 0.999484i \(-0.510227\pi\)
0.598054 + 0.801456i \(0.295941\pi\)
\(270\) 5.29570e7 1.09966e8i 0.00996479 0.0206921i
\(271\) −7.52779e9 4.73002e9i −1.39569 0.876973i −0.396537 0.918019i \(-0.629788\pi\)
−0.999157 + 0.0410459i \(0.986931\pi\)
\(272\) −6.37799e9 2.23175e9i −1.16522 0.407728i
\(273\) 1.18486e10 1.18486e10i 2.13312 2.13312i
\(274\) 3.52943e9 + 7.32895e9i 0.626185 + 1.30029i
\(275\) −9.07326e8 + 8.05274e9i −0.158647 + 1.40803i
\(276\) −4.77504e9 5.38017e8i −0.822887 0.0927171i
\(277\) 3.84207e9 1.85025e9i 0.652599 0.314275i −0.0781294 0.996943i \(-0.524895\pi\)
0.730729 + 0.682668i \(0.239180\pi\)
\(278\) −2.41375e9 2.41375e9i −0.404123 0.404123i
\(279\) −1.11819e9 + 3.19561e9i −0.184544 + 0.527396i
\(280\) −8.24752e7 + 1.31259e8i −0.0134181 + 0.0213548i
\(281\) 6.15662e9 + 2.96487e9i 0.987454 + 0.475533i 0.856663 0.515877i \(-0.172534\pi\)
0.130792 + 0.991410i \(0.458248\pi\)
\(282\) −3.07927e9 8.80005e9i −0.486913 1.39152i
\(283\) −6.48283e9 1.47966e9i −1.01069 0.230684i −0.315052 0.949074i \(-0.602022\pi\)
−0.695640 + 0.718391i \(0.744879\pi\)
\(284\) −1.52713e9 1.91496e9i −0.234748 0.294364i
\(285\) 3.10598e7 3.89477e7i 0.00470781 0.00590340i
\(286\) 4.46573e9 + 1.95656e10i 0.667464 + 2.92435i
\(287\) −2.15860e9 3.43539e9i −0.318159 0.506347i
\(288\) 3.51142e8 + 3.11647e9i 0.0510403 + 0.452995i
\(289\) 1.67727e8i 0.0240443i
\(290\) −1.54548e8 + 2.05389e8i −0.0218510 + 0.0290392i
\(291\) −1.52697e10 −2.12941
\(292\) 2.08844e9 2.35311e8i 0.287271 0.0323676i
\(293\) −8.71490e9 + 5.47594e9i −1.18248 + 0.742998i −0.972087 0.234620i \(-0.924616\pi\)
−0.210388 + 0.977618i \(0.567473\pi\)
\(294\) 1.18873e10 2.71320e9i 1.59109 0.363156i
\(295\) −1.82780e8 1.45762e8i −0.0241346 0.0192467i
\(296\) 1.31105e9 1.04553e9i 0.170786 0.136197i
\(297\) −1.55172e9 + 6.79852e9i −0.199428 + 0.873753i
\(298\) 1.47883e10 5.17467e9i 1.87523 0.656171i
\(299\) 7.79068e9 1.61775e10i 0.974745 2.02408i
\(300\) 4.33366e9 + 2.72302e9i 0.535020 + 0.336175i
\(301\) −2.59780e9 9.09009e8i −0.316475 0.110739i
\(302\) 1.21813e9 1.21813e9i 0.146443 0.146443i
\(303\) −5.14268e8 1.06789e9i −0.0610126 0.126694i
\(304\) 2.51528e8 2.23238e9i 0.0294505 0.261381i
\(305\) −1.17087e8 1.31926e7i −0.0135304 0.00152451i
\(306\) 4.62406e9 2.22683e9i 0.527397 0.253981i
\(307\) 1.18000e9 + 1.18000e9i 0.132840 + 0.132840i 0.770400 0.637560i \(-0.220056\pi\)
−0.637560 + 0.770400i \(0.720056\pi\)
\(308\) −3.16559e9 + 9.04673e9i −0.351764 + 1.00528i
\(309\) −5.76903e9 + 9.18135e9i −0.632803 + 1.00710i
\(310\) −3.51524e8 1.69285e8i −0.0380634 0.0183304i
\(311\) −3.84503e9 1.09885e10i −0.411016 1.17462i −0.944416 0.328752i \(-0.893372\pi\)
0.533401 0.845863i \(-0.320914\pi\)
\(312\) −1.14190e10 2.60631e9i −1.20506 0.275048i
\(313\) 8.71122e9 + 1.09235e10i 0.907615 + 1.13811i 0.989937 + 0.141508i \(0.0451950\pi\)
−0.0823218 + 0.996606i \(0.526234\pi\)
\(314\) −1.16837e10 + 1.46509e10i −1.20188 + 1.50711i
\(315\) −4.48568e7 1.96531e8i −0.00455603 0.0199613i
\(316\) −4.42702e9 7.04557e9i −0.443980 0.706590i
\(317\) 4.27030e8 + 3.78999e9i 0.0422884 + 0.375320i 0.996976 + 0.0777100i \(0.0247608\pi\)
−0.954688 + 0.297610i \(0.903811\pi\)
\(318\) 1.96944e10i 1.92590i
\(319\) 5.99730e9 1.34052e10i 0.579153 1.29453i
\(320\) 2.48582e7 0.00237066
\(321\) 1.79982e10 2.02791e9i 1.69515 0.190998i
\(322\) 2.12317e10 1.33407e10i 1.97497 1.24096i
\(323\) −2.20666e9 + 5.03656e8i −0.202733 + 0.0462726i
\(324\) 5.59567e9 + 4.46240e9i 0.507776 + 0.404938i
\(325\) −1.49525e10 + 1.19242e10i −1.34023 + 1.06880i
\(326\) 2.27373e9 9.96188e9i 0.201312 0.882004i
\(327\) −6.18302e8 + 2.16353e8i −0.0540766 + 0.0189222i
\(328\) −1.23050e9 + 2.55516e9i −0.106313 + 0.220761i
\(329\) 1.40879e10 + 8.85203e9i 1.20244 + 0.755544i
\(330\) 7.02003e8 + 2.45642e8i 0.0591948 + 0.0207131i
\(331\) 8.26203e9 8.26203e9i 0.688296 0.688296i −0.273559 0.961855i \(-0.588201\pi\)
0.961855 + 0.273559i \(0.0882010\pi\)
\(332\) −8.42601e8 1.74968e9i −0.0693537 0.144014i
\(333\) −2.44151e8 + 2.16690e9i −0.0198555 + 0.176223i
\(334\) −9.71089e9 1.09415e9i −0.780321 0.0879210i
\(335\) 3.41972e8 1.64685e8i 0.0271526 0.0130760i
\(336\) −1.98018e10 1.98018e10i −1.55363 1.55363i
\(337\) 4.98559e9 1.42480e10i 0.386542 1.10467i −0.572130 0.820163i \(-0.693883\pi\)
0.958673 0.284512i \(-0.0918315\pi\)
\(338\) −1.66382e10 + 2.64796e10i −1.27480 + 2.02883i
\(339\) 7.17227e9 + 3.45398e9i 0.543073 + 0.261530i
\(340\) 6.68061e7 + 1.90921e8i 0.00499920 + 0.0142869i
\(341\) 2.17325e10 + 4.96030e9i 1.60728 + 0.366851i
\(342\) 1.06386e9 + 1.33404e9i 0.0777643 + 0.0975133i
\(343\) −1.09684e9 + 1.37539e9i −0.0792438 + 0.0993686i
\(344\) 4.28087e8 + 1.87557e9i 0.0305702 + 0.133937i
\(345\) −3.54030e8 5.63435e8i −0.0249898 0.0397711i
\(346\) −1.35489e9 1.20250e10i −0.0945368 0.839037i
\(347\) 8.75402e9i 0.603795i 0.953340 + 0.301897i \(0.0976200\pi\)
−0.953340 + 0.301897i \(0.902380\pi\)
\(348\) −5.98460e9 7.08616e9i −0.408054 0.483163i
\(349\) 1.30015e10 0.876381 0.438191 0.898882i \(-0.355620\pi\)
0.438191 + 0.898882i \(0.355620\pi\)
\(350\) −2.65399e10 + 2.99033e9i −1.76859 + 0.199272i
\(351\) −1.39348e10 + 8.75580e9i −0.918061 + 0.576856i
\(352\) 2.01315e10 4.59489e9i 1.31131 0.299298i
\(353\) 7.46871e9 + 5.95609e9i 0.481002 + 0.383586i 0.833759 0.552129i \(-0.186184\pi\)
−0.352757 + 0.935715i \(0.614756\pi\)
\(354\) 1.92858e10 1.53799e10i 1.22807 0.979356i
\(355\) 7.54748e7 3.30677e8i 0.00475214 0.0208205i
\(356\) −2.46933e9 + 8.64056e8i −0.153737 + 0.0537950i
\(357\) −1.22419e10 + 2.54205e10i −0.753660 + 1.56499i
\(358\) −1.77020e10 1.11229e10i −1.07768 0.677152i
\(359\) 7.12634e9 + 2.49361e9i 0.429031 + 0.150124i 0.536152 0.844122i \(-0.319877\pi\)
−0.107121 + 0.994246i \(0.534163\pi\)
\(360\) −9.96362e7 + 9.96362e7i −0.00593208 + 0.00593208i
\(361\) 7.04240e9 + 1.46237e10i 0.414660 + 0.861049i
\(362\) 1.88212e9 1.67043e10i 0.109601 0.972734i
\(363\) −2.12305e10 2.39210e9i −1.22274 0.137770i
\(364\) −2.03798e10 + 9.81437e9i −1.16090 + 0.559058i
\(365\) 2.05794e8 + 2.05794e8i 0.0115948 + 0.0115948i
\(366\) 4.10619e9 1.17348e10i 0.228831 0.653961i
\(367\) −1.26770e10 + 2.01753e10i −0.698799 + 1.11213i 0.289140 + 0.957287i \(0.406631\pi\)
−0.987939 + 0.154846i \(0.950512\pi\)
\(368\) −2.70365e10 1.30201e10i −1.47421 0.709941i
\(369\) −1.21804e9 3.48095e9i −0.0656985 0.187756i
\(370\) −2.44996e8 5.59189e7i −0.0130723 0.00298367i
\(371\) −2.19134e10 2.74785e10i −1.15668 1.45043i
\(372\) 8.77801e9 1.10073e10i 0.458378 0.574788i
\(373\) −2.89546e9 1.26858e10i −0.149583 0.655366i −0.993001 0.118108i \(-0.962317\pi\)
0.843418 0.537258i \(-0.180540\pi\)
\(374\) −1.79785e10 2.86126e10i −0.918896 1.46241i
\(375\) 1.58781e8 + 1.40922e9i 0.00802921 + 0.0712612i
\(376\) 1.16300e10i 0.581873i
\(377\) 3.23787e10 1.23623e10i 1.60285 0.611974i
\(378\) −2.29825e10 −1.12572
\(379\) 4.05246e9 4.56602e8i 0.196409 0.0221300i −0.0132118 0.999913i \(-0.504206\pi\)
0.209621 + 0.977783i \(0.432777\pi\)
\(380\) −5.69402e7 + 3.57779e7i −0.00273077 + 0.00171585i
\(381\) 3.55456e10 8.11306e9i 1.68689 0.385021i
\(382\) −1.24859e10 9.95715e9i −0.586362 0.467608i
\(383\) 1.11495e10 8.89143e9i 0.518156 0.413216i −0.329185 0.944266i \(-0.606774\pi\)
0.847340 + 0.531050i \(0.178202\pi\)
\(384\) −6.16739e9 + 2.70211e10i −0.283646 + 1.24273i
\(385\) −1.25279e9 + 4.38369e8i −0.0570210 + 0.0199525i
\(386\) −1.12572e9 + 2.33758e9i −0.0507086 + 0.105297i
\(387\) −2.11824e9 1.33098e9i −0.0944347 0.0593373i
\(388\) 1.94561e10 + 6.80800e9i 0.858479 + 0.300395i
\(389\) 2.49824e10 2.49824e10i 1.09103 1.09103i 0.0956110 0.995419i \(-0.469520\pi\)
0.995419 0.0956110i \(-0.0304805\pi\)
\(390\) 7.61571e8 + 1.58142e9i 0.0329194 + 0.0683578i
\(391\) −3.38514e9 + 3.00439e10i −0.144834 + 1.28543i
\(392\) 1.51142e10 + 1.70296e9i 0.640089 + 0.0721207i
\(393\) −2.30466e10 + 1.10987e10i −0.966133 + 0.465265i
\(394\) −2.94360e10 2.94360e10i −1.22150 1.22150i
\(395\) 3.80576e8 1.08762e9i 0.0156334 0.0446776i
\(396\) −4.63508e9 + 7.37669e9i −0.188485 + 0.299972i
\(397\) −4.21030e10 2.02758e10i −1.69493 0.816235i −0.994758 0.102259i \(-0.967393\pi\)
−0.700171 0.713975i \(-0.746893\pi\)
\(398\) 1.76694e10 + 5.04964e10i 0.704191 + 2.01246i
\(399\) −9.14511e9 2.08731e9i −0.360826 0.0823561i
\(400\) 1.99281e10 + 2.49891e10i 0.778442 + 0.976136i
\(401\) −3.05624e9 + 3.83240e9i −0.118198 + 0.148215i −0.837410 0.546575i \(-0.815931\pi\)
0.719212 + 0.694790i \(0.244503\pi\)
\(402\) 8.91170e9 + 3.90447e10i 0.341237 + 1.49506i
\(403\) 2.79892e10 + 4.45446e10i 1.06113 + 1.68879i
\(404\) 1.79145e8 + 1.58996e9i 0.00672480 + 0.0596842i
\(405\) 9.91118e8i 0.0368388i
\(406\) 4.74710e10 + 9.43902e9i 1.74713 + 0.347394i
\(407\) 1.43575e10 0.523241
\(408\) 1.95979e10 2.20815e9i 0.707244 0.0796873i
\(409\) 1.65158e10 1.03776e10i 0.590210 0.370853i −0.203568 0.979061i \(-0.565254\pi\)
0.793778 + 0.608207i \(0.208111\pi\)
\(410\) 4.14345e8 9.45714e7i 0.0146631 0.00334676i
\(411\) −3.17799e10 2.53436e10i −1.11374 0.888181i
\(412\) 1.14442e10 9.12645e9i 0.397189 0.316748i
\(413\) −9.79566e9 + 4.29176e10i −0.336692 + 1.47515i
\(414\) 2.15133e10 7.52782e9i 0.732327 0.256252i
\(415\) 1.16683e8 2.42295e8i 0.00393383 0.00816868i
\(416\) 4.12631e10 + 2.59273e10i 1.37781 + 0.865734i
\(417\) 1.61003e10 + 5.63373e9i 0.532463 + 0.186317i
\(418\) 7.94404e9 7.94404e9i 0.260217 0.260217i
\(419\) −8.74759e9 1.81646e10i −0.283813 0.589344i 0.709512 0.704693i \(-0.248915\pi\)
−0.993325 + 0.115350i \(0.963201\pi\)
\(420\) −9.38575e7 + 8.33009e8i −0.00301628 + 0.0267702i
\(421\) −2.61118e10 2.94209e9i −0.831204 0.0936542i −0.313900 0.949456i \(-0.601636\pi\)
−0.517304 + 0.855802i \(0.673064\pi\)
\(422\) −2.88740e9 + 1.39050e9i −0.0910451 + 0.0438450i
\(423\) 1.06939e10 + 1.06939e10i 0.334022 + 0.334022i
\(424\) −8.11402e9 + 2.31885e10i −0.251057 + 0.717480i
\(425\) 1.71329e10 2.72669e10i 0.525140 0.835756i
\(426\) 3.22441e10 + 1.55280e10i 0.979067 + 0.471494i
\(427\) 7.32787e9 + 2.09418e10i 0.220428 + 0.629946i
\(428\) −2.38368e10 5.44060e9i −0.710352 0.162133i
\(429\) −6.25257e10 7.84047e10i −1.84599 2.31480i
\(430\) 1.79751e8 2.25401e8i 0.00525773 0.00659298i
\(431\) −7.80515e9 3.41966e10i −0.226189 0.991000i −0.952716 0.303862i \(-0.901724\pi\)
0.726527 0.687138i \(-0.241133\pi\)
\(432\) 1.46330e10 + 2.32883e10i 0.420144 + 0.668656i
\(433\) 1.70270e8 + 1.51119e9i 0.00484382 + 0.0429901i 0.995902 0.0904432i \(-0.0288284\pi\)
−0.991058 + 0.133433i \(0.957400\pi\)
\(434\) 7.34670e10i 2.07078i
\(435\) 2.50488e8 1.25976e9i 0.00699568 0.0351829i
\(436\) 8.84281e8 0.0244706
\(437\) −9.98845e9 + 1.12543e9i −0.273888 + 0.0308597i
\(438\) −2.60016e10 + 1.63379e10i −0.706485 + 0.443914i
\(439\) 1.51634e10 3.46095e9i 0.408262 0.0931831i −0.0134576 0.999909i \(-0.504284\pi\)
0.421720 + 0.906726i \(0.361427\pi\)
\(440\) 7.25348e8 + 5.78446e8i 0.0193524 + 0.0154331i
\(441\) −1.54635e10 + 1.23318e10i −0.408841 + 0.326040i
\(442\) 1.77461e10 7.77506e10i 0.464957 2.03711i
\(443\) 4.52013e10 1.58166e10i 1.17364 0.410676i 0.328132 0.944632i \(-0.393581\pi\)
0.845512 + 0.533956i \(0.179295\pi\)
\(444\) 3.93444e9 8.16994e9i 0.101240 0.210226i
\(445\) −3.06753e8 1.92746e8i −0.00782256 0.00491524i
\(446\) 1.77912e10 + 6.22540e9i 0.449640 + 0.157336i
\(447\) −5.53598e10 + 5.53598e10i −1.38664 + 1.38664i
\(448\) −2.03091e9 4.21723e9i −0.0504172 0.104692i
\(449\) 2.68435e9 2.38243e10i 0.0660472 0.586185i −0.916482 0.400076i \(-0.868984\pi\)
0.982529 0.186109i \(-0.0595878\pi\)
\(450\) −2.41238e10 2.71810e9i −0.588296 0.0662851i
\(451\) −2.18772e10 + 1.05355e10i −0.528792 + 0.254653i
\(452\) −7.59871e9 7.59871e9i −0.182048 0.182048i
\(453\) −2.84315e9 + 8.12525e9i −0.0675160 + 0.192950i
\(454\) 4.09755e9 6.52122e9i 0.0964497 0.153499i
\(455\) −2.82218e9 1.35909e9i −0.0658475 0.0317105i
\(456\) 2.16557e9 + 6.18884e9i 0.0500856 + 0.143136i
\(457\) −5.26064e10 1.20071e10i −1.20607 0.275279i −0.428192 0.903688i \(-0.640849\pi\)
−0.777883 + 0.628409i \(0.783706\pi\)
\(458\) −1.51625e10 1.90132e10i −0.344595 0.432108i
\(459\) 1.72775e10 2.16653e10i 0.389252 0.488106i
\(460\) 1.99885e8 + 8.75754e8i 0.00446426 + 0.0195592i
\(461\) 1.03613e10 + 1.64900e10i 0.229410 + 0.365104i 0.941516 0.336968i \(-0.109401\pi\)
−0.712106 + 0.702072i \(0.752259\pi\)
\(462\) −1.56801e10 1.39165e11i −0.344176 3.05465i
\(463\) 6.79043e9i 0.147766i −0.997267 0.0738828i \(-0.976461\pi\)
0.997267 0.0738828i \(-0.0235391\pi\)
\(464\) −2.06603e10 5.41125e10i −0.445722 1.16742i
\(465\) 1.94963e9 0.0417005
\(466\) −2.81968e10 + 3.17702e9i −0.597939 + 0.0673715i
\(467\) −3.39275e10 + 2.13181e10i −0.713321 + 0.448209i −0.839190 0.543838i \(-0.816971\pi\)
0.125870 + 0.992047i \(0.459828\pi\)
\(468\) −2.00451e10 + 4.57516e9i −0.417854 + 0.0953725i
\(469\) −5.58780e10 4.45613e10i −1.15491 0.921014i
\(470\) −1.36262e9 + 1.08665e9i −0.0279243 + 0.0222689i
\(471\) 2.08367e10 9.12916e10i 0.423395 1.85501i
\(472\) 2.90439e10 1.01629e10i 0.585177 0.204762i
\(473\) −7.14674e9 + 1.48404e10i −0.142779 + 0.296483i
\(474\) 1.02946e11 + 6.46856e10i 2.03938 + 1.28143i
\(475\) 1.01054e10 + 3.53603e9i 0.198508 + 0.0694610i
\(476\) 2.69320e10 2.69320e10i 0.524614 0.524614i
\(477\) −1.38612e10 2.87831e10i −0.267748 0.555985i
\(478\) −7.97690e9 + 7.07969e10i −0.152800 + 1.35613i
\(479\) 1.14110e10 + 1.28571e9i 0.216761 + 0.0244231i 0.219677 0.975573i \(-0.429500\pi\)
−0.00291616 + 0.999996i \(0.500928\pi\)
\(480\) 1.62716e9 7.83597e8i 0.0306524 0.0147614i
\(481\) 2.39597e10 + 2.39597e10i 0.447611 + 0.447611i
\(482\) −3.33345e10 + 9.52644e10i −0.617597 + 1.76499i
\(483\) −6.66634e10 + 1.06094e11i −1.22490 + 1.94941i
\(484\) 2.59847e10 + 1.25136e10i 0.473518 + 0.228034i
\(485\) 9.42769e8 + 2.69428e9i 0.0170388 + 0.0486940i
\(486\) −5.95819e10 1.35992e10i −1.06800 0.243763i
\(487\) 5.28930e10 + 6.63257e10i 0.940335 + 1.17914i 0.983652 + 0.180081i \(0.0576360\pi\)
−0.0433172 + 0.999061i \(0.513793\pi\)
\(488\) 9.66941e9 1.21251e10i 0.170499 0.213798i
\(489\) 1.13618e10 + 4.97793e10i 0.198706 + 0.870590i
\(490\) −1.21267e9 1.92995e9i −0.0210358 0.0334783i
\(491\) −1.64424e9 1.45930e10i −0.0282904 0.251084i −0.999895 0.0144748i \(-0.995392\pi\)
0.971605 0.236610i \(-0.0760362\pi\)
\(492\) 1.53360e10i 0.261728i
\(493\) −4.45852e10 + 3.76544e10i −0.754750 + 0.637423i
\(494\) 2.65138e10 0.445210
\(495\) −1.19885e9 + 1.35078e8i −0.0199685 + 0.00224991i
\(496\) 7.44445e10 4.67766e10i 1.23000 0.772862i
\(497\) −6.22661e10 + 1.42118e10i −1.02053 + 0.232930i
\(498\) 2.21849e10 + 1.76919e10i 0.360695 + 0.287644i
\(499\) 7.10253e10 5.66408e10i 1.14554 0.913538i 0.148387 0.988929i \(-0.452592\pi\)
0.997154 + 0.0753909i \(0.0240205\pi\)
\(500\) 4.25987e8 1.86637e9i 0.00681580 0.0298620i
\(501\) 4.60919e10 1.61282e10i 0.731600 0.255998i
\(502\) −5.91723e10 + 1.22872e11i −0.931758 + 1.93482i
\(503\) 6.62360e10 + 4.16188e10i 1.03472 + 0.650156i 0.938527 0.345207i \(-0.112191\pi\)
0.0961912 + 0.995363i \(0.469334\pi\)
\(504\) 2.50437e10 + 8.76316e9i 0.388129 + 0.135812i
\(505\) −1.56673e8 + 1.56673e8i −0.00240896 + 0.00240896i
\(506\) −6.51123e10 1.35207e11i −0.993255 2.06252i
\(507\) 1.74968e10 1.55288e11i 0.264805 2.35021i
\(508\) −4.89083e10 5.51064e9i −0.734391 0.0827460i
\(509\) −4.72569e10 + 2.27577e10i −0.704035 + 0.339046i −0.751414 0.659831i \(-0.770628\pi\)
0.0473783 + 0.998877i \(0.484913\pi\)
\(510\) −2.08985e9 2.08985e9i −0.0308912 0.0308912i
\(511\) 1.80999e10 5.17266e10i 0.265456 0.758631i
\(512\) 1.62812e10 2.59113e10i 0.236922 0.377059i
\(513\) 8.30048e9 + 3.99730e9i 0.119849 + 0.0577161i
\(514\) −3.54822e10 1.01402e11i −0.508344 1.45276i
\(515\) 1.97620e9 + 4.51055e8i 0.0280933 + 0.00641211i
\(516\) 6.48625e9 + 8.13351e9i 0.0914945 + 0.114731i
\(517\) 6.20844e10 7.78514e10i 0.869001 1.08969i
\(518\) 1.05295e10 + 4.61326e10i 0.146247 + 0.640750i
\(519\) 3.21715e10 + 5.12006e10i 0.443406 + 0.705676i
\(520\) 2.45149e8 + 2.17575e9i 0.00335287 + 0.0297575i
\(521\) 6.29231e10i 0.854003i 0.904251 + 0.427001i \(0.140430\pi\)
−0.904251 + 0.427001i \(0.859570\pi\)
\(522\) 4.01584e10 + 1.79663e10i 0.540872 + 0.241978i
\(523\) −7.87718e10 −1.05284 −0.526422 0.850224i \(-0.676467\pi\)
−0.526422 + 0.850224i \(0.676467\pi\)
\(524\) 3.43136e10 3.86621e9i 0.455135 0.0512814i
\(525\) 1.13003e11 7.10043e10i 1.48748 0.934647i
\(526\) −9.96151e10 + 2.27365e10i −1.30131 + 0.297016i
\(527\) −6.92564e10 5.52301e10i −0.897878 0.716034i
\(528\) −1.31033e11 + 1.04495e11i −1.68595 + 1.34450i
\(529\) −1.24515e10 + 5.45535e10i −0.159000 + 0.696626i
\(530\) 3.47500e9 1.21595e9i 0.0440404 0.0154104i
\(531\) −1.73613e10 + 3.60511e10i −0.218376 + 0.453462i
\(532\) 1.07218e10 + 6.73694e9i 0.133851 + 0.0841039i
\(533\) −5.40898e10 1.89269e10i −0.670204 0.234514i
\(534\) 2.70297e10 2.70297e10i 0.332412 0.332412i
\(535\) −1.46905e9 3.05050e9i −0.0179316 0.0372354i
\(536\) −5.59349e9 + 4.96436e10i −0.0677678 + 0.601456i
\(537\) 1.03812e11 + 1.16968e10i 1.24839 + 0.140660i
\(538\) 5.57914e10 2.68677e10i 0.665945 0.320702i
\(539\) 9.20836e10 + 9.20836e10i 1.09101 + 1.09101i
\(540\) 2.71923e8 7.77112e8i 0.00319795 0.00913921i
\(541\) 3.18443e10 5.06799e10i 0.371743 0.591626i −0.607499 0.794321i \(-0.707827\pi\)
0.979242 + 0.202695i \(0.0649699\pi\)
\(542\) −1.57993e11 7.60856e10i −1.83080 0.881668i
\(543\) 2.77432e10 + 7.92855e10i 0.319122 + 0.912000i
\(544\) −7.99993e10 1.82593e10i −0.913463 0.208492i
\(545\) 7.63494e7 + 9.57391e7i 0.000865405 + 0.00108518i
\(546\) 2.06070e11 2.58403e11i 2.31869 2.90755i
\(547\) 2.92356e10 + 1.28089e11i 0.326559 + 1.43075i 0.825642 + 0.564195i \(0.190813\pi\)
−0.499082 + 0.866555i \(0.666329\pi\)
\(548\) 2.91934e10 + 4.64611e10i 0.323715 + 0.515190i
\(549\) 2.25800e9 + 2.00403e10i 0.0248561 + 0.220604i
\(550\) 1.59840e11i 1.74677i
\(551\) −1.55032e10 1.16656e10i −0.168195 0.126561i
\(552\) 8.75838e10 0.943339
\(553\) −2.15610e11 + 2.42934e10i −2.30551 + 0.259769i
\(554\) 7.12199e10 4.47504e10i 0.756071 0.475071i
\(555\) 1.22424e9 2.79426e8i 0.0129032 0.00294506i
\(556\) −1.80026e10 1.43566e10i −0.188381 0.150229i
\(557\) −7.93380e10 + 6.32699e10i −0.824253 + 0.657320i −0.941959 0.335729i \(-0.891017\pi\)
0.117706 + 0.993049i \(0.462446\pi\)
\(558\) −1.48597e10 + 6.51046e10i −0.153276 + 0.671544i
\(559\) −3.66918e10 + 1.28390e10i −0.375770 + 0.131488i
\(560\) −2.27136e9 + 4.71653e9i −0.0230959 + 0.0479591i
\(561\) 1.42977e11 + 8.98381e10i 1.44349 + 0.907004i
\(562\) 1.27220e11 + 4.45161e10i 1.27529 + 0.446243i
\(563\) −1.29459e10 + 1.29459e10i −0.128855 + 0.128855i −0.768593 0.639738i \(-0.779043\pi\)
0.639738 + 0.768593i \(0.279043\pi\)
\(564\) −2.72870e10 5.66621e10i −0.269674 0.559985i
\(565\) 1.66618e8 1.47877e9i 0.00163504 0.0145113i
\(566\) −1.30333e11 1.46851e10i −1.26996 0.143090i
\(567\) 1.68145e11 8.09742e10i 1.62686 0.783455i
\(568\) 3.15674e10 + 3.15674e10i 0.303281 + 0.303281i
\(569\) 6.08983e10 1.74037e11i 0.580973 1.66033i −0.158675 0.987331i \(-0.550722\pi\)
0.739648 0.672994i \(-0.234992\pi\)
\(570\) 5.22769e8 8.31983e8i 0.00495234 0.00788161i
\(571\) −3.85626e10 1.85708e10i −0.362762 0.174697i 0.243620 0.969871i \(-0.421665\pi\)
−0.606381 + 0.795174i \(0.707379\pi\)
\(572\) 4.47114e10 + 1.27778e11i 0.417671 + 1.19363i
\(573\) 7.78012e10 + 1.77576e10i 0.721718 + 0.164727i
\(574\) −4.98961e10 6.25677e10i −0.459641 0.576372i
\(575\) 8.91656e10 1.11810e11i 0.815691 1.02284i
\(576\) −9.46749e8 4.14798e9i −0.00860092 0.0376831i
\(577\) 5.14848e10 + 8.19376e10i 0.464489 + 0.739230i 0.994036 0.109050i \(-0.0347809\pi\)
−0.529547 + 0.848281i \(0.677638\pi\)
\(578\) −3.70414e8 3.28751e9i −0.00331876 0.0294548i
\(579\) 1.29648e10i 0.115359i
\(580\) −8.80829e8 + 1.49347e9i −0.00778358 + 0.0131973i
\(581\) −5.06387e10 −0.444404
\(582\) −2.99291e11 + 3.37221e10i −2.60857 + 0.293915i
\(583\) −1.78103e11 + 1.11909e11i −1.54169 + 0.968706i
\(584\) −3.73459e10 + 8.52395e9i −0.321064 + 0.0732807i
\(585\) −2.22605e9 1.77522e9i −0.0190069 0.0151575i
\(586\) −1.58722e11 + 1.26577e11i −1.34600 + 1.07340i
\(587\) 5.46155e9 2.39286e10i 0.0460006 0.201542i −0.946706 0.322100i \(-0.895611\pi\)
0.992706 + 0.120558i \(0.0384684\pi\)
\(588\) 7.76328e10 2.71649e10i 0.649436 0.227247i
\(589\) 1.27780e10 2.65337e10i 0.106170 0.220464i
\(590\) −3.90445e9 2.45333e9i −0.0322220 0.0202464i
\(591\) 1.96345e11 + 6.87040e10i 1.60942 + 0.563161i
\(592\) 4.00422e10 4.00422e10i 0.326010 0.326010i
\(593\) −1.86465e10 3.87198e10i −0.150792 0.313123i 0.811866 0.583844i \(-0.198452\pi\)
−0.962658 + 0.270721i \(0.912738\pi\)
\(594\) −1.54002e10 + 1.36680e11i −0.123703 + 1.09789i
\(595\) 5.24119e9 + 5.90540e8i 0.0418179 + 0.00471174i
\(596\) 9.52197e10 4.58554e10i 0.754644 0.363417i
\(597\) −1.89032e11 1.89032e11i −1.48812 1.48812i
\(598\) 1.16973e11 3.34290e11i 0.914707 2.61408i
\(599\) 7.15750e8 1.13911e9i 0.00555974 0.00884827i −0.843933 0.536449i \(-0.819765\pi\)
0.849493 + 0.527601i \(0.176908\pi\)
\(600\) −8.40487e10 4.04757e10i −0.648524 0.312312i
\(601\) 1.88127e10 + 5.37637e10i 0.144196 + 0.412089i 0.993218 0.116269i \(-0.0370935\pi\)
−0.849022 + 0.528358i \(0.822808\pi\)
\(602\) −5.29253e10 1.20798e10i −0.402974 0.0919762i
\(603\) −4.05046e10 5.07911e10i −0.306362 0.384166i
\(604\) 7.24529e9 9.08530e9i 0.0544387 0.0682640i
\(605\) 8.88719e8 + 3.89373e9i 0.00663350 + 0.0290633i
\(606\) −1.24382e10 1.97953e10i −0.0922290 0.146782i
\(607\) −2.63224e10 2.33617e11i −0.193897 1.72088i −0.594047 0.804430i \(-0.702471\pi\)
0.400150 0.916449i \(-0.368958\pi\)
\(608\) 2.72807e10i 0.199637i
\(609\) −2.34185e11 + 6.04267e10i −1.70251 + 0.439299i
\(610\) −2.32409e9 −0.0167854
\(611\) 2.33523e11 2.63117e10i 1.67558 0.188792i
\(612\) 2.93138e10 1.84191e10i 0.208961 0.131299i
\(613\) −2.24833e11 + 5.13167e10i −1.59228 + 0.363426i −0.924574 0.381003i \(-0.875579\pi\)
−0.667702 + 0.744429i \(0.732722\pi\)
\(614\) 2.57344e10 + 2.05225e10i 0.181068 + 0.144397i
\(615\) −1.66039e9 + 1.32412e9i −0.0116067 + 0.00925605i
\(616\) 3.88734e10 1.70315e11i 0.269978 1.18285i
\(617\) 9.24276e10 3.23418e10i 0.637766 0.223164i 0.00802324 0.999968i \(-0.497446\pi\)
0.629743 + 0.776804i \(0.283160\pi\)
\(618\) −9.27986e10 + 1.92698e11i −0.636191 + 1.32106i
\(619\) 8.39391e10 + 5.27424e10i 0.571744 + 0.359250i 0.786664 0.617381i \(-0.211806\pi\)
−0.214920 + 0.976632i \(0.568949\pi\)
\(620\) −2.48416e9 8.69244e8i −0.0168117 0.00588267i
\(621\) 8.70185e10 8.70185e10i 0.585120 0.585120i
\(622\) −9.96313e10 2.06886e11i −0.665632 1.38220i
\(623\) −7.63792e9 + 6.77884e10i −0.0507017 + 0.449990i
\(624\) −3.93046e11 4.42857e10i −2.59242 0.292095i
\(625\) −1.37119e11 + 6.60328e10i −0.898621 + 0.432753i
\(626\) 1.94867e11 + 1.94867e11i 1.26894 + 1.26894i
\(627\) −1.85415e10 + 5.29886e10i −0.119971 + 0.342857i
\(628\) −6.72519e10 + 1.07031e11i −0.432380 + 0.688129i
\(629\) −5.14043e10 2.47550e10i −0.328395 0.158147i
\(630\) −1.31323e9 3.75301e9i −0.00833643 0.0238241i
\(631\) −4.66540e10 1.06485e10i −0.294287 0.0671691i 0.0728284 0.997344i \(-0.476797\pi\)
−0.367115 + 0.930175i \(0.619655\pi\)
\(632\) 9.45608e10 + 1.18576e11i 0.592711 + 0.743236i
\(633\) 9.98467e9 1.25204e10i 0.0621898 0.0779835i
\(634\) 1.67399e10 + 7.33422e10i 0.103608 + 0.453938i
\(635\) −3.62615e9 5.77098e9i −0.0223024 0.0354940i
\(636\) 1.48744e10 + 1.32014e11i 0.0909096 + 0.806845i
\(637\) 3.07336e11i 1.86662i
\(638\) 8.79447e10 2.75992e11i 0.530795 1.66577i
\(639\) −5.80531e10 −0.348195
\(640\) 5.14855e9 5.80102e8i 0.0306877 0.00345768i
\(641\) 7.25505e10 4.55865e10i 0.429743 0.270025i −0.299745 0.954019i \(-0.596902\pi\)
0.729487 + 0.683994i \(0.239759\pi\)
\(642\) 3.48292e11 7.94955e10i 2.05024 0.467953i
\(643\) 1.62029e10 + 1.29214e10i 0.0947869 + 0.0755900i 0.669737 0.742599i \(-0.266407\pi\)
−0.574950 + 0.818189i \(0.694978\pi\)
\(644\) 1.32242e11 1.05460e11i 0.768825 0.613117i
\(645\) −3.20569e8 + 1.40450e9i −0.00185218 + 0.00811492i
\(646\) −4.21391e10 + 1.47451e10i −0.241966 + 0.0846676i
\(647\) 1.79999e10 3.73772e10i 0.102720 0.213299i −0.843275 0.537483i \(-0.819375\pi\)
0.945994 + 0.324184i \(0.105090\pi\)
\(648\) −1.10456e11 6.94041e10i −0.626454 0.393627i
\(649\) 2.48673e11 + 8.70145e10i 1.40168 + 0.490470i
\(650\) −2.66740e11 + 2.66740e11i −1.49429 + 1.49429i
\(651\) −1.59285e11 3.30758e11i −0.886849 1.84156i
\(652\) 7.71729e9 6.84928e10i 0.0427046 0.379014i
\(653\) 1.41636e11 + 1.59586e10i 0.778973 + 0.0877692i 0.492492 0.870317i \(-0.336086\pi\)
0.286481 + 0.958086i \(0.407515\pi\)
\(654\) −1.16411e10 + 5.60608e9i −0.0636333 + 0.0306442i
\(655\) 3.38124e9 + 3.38124e9i 0.0183701 + 0.0183701i
\(656\) −3.16312e10 + 9.03969e10i −0.170805 + 0.488133i
\(657\) 2.65021e10 4.21778e10i 0.142239 0.226372i
\(658\) 2.95678e11 + 1.42391e11i 1.57730 + 0.759589i
\(659\) 9.95535e10 + 2.84508e11i 0.527855 + 1.50852i 0.831382 + 0.555701i \(0.187550\pi\)
−0.303527 + 0.952823i \(0.598164\pi\)
\(660\) 4.89113e9 + 1.11637e9i 0.0257771 + 0.00588345i
\(661\) −1.68321e11 2.11068e11i −0.881725 1.10565i −0.993715 0.111938i \(-0.964294\pi\)
0.111991 0.993709i \(-0.464277\pi\)
\(662\) 1.43693e11 1.80185e11i 0.748174 0.938181i
\(663\) 8.86768e10 + 3.88518e11i 0.458940 + 2.01075i
\(664\) 1.88319e10 + 2.99708e10i 0.0968773 + 0.154179i
\(665\) 1.96332e8 + 1.74249e9i 0.00100393 + 0.00891014i
\(666\) 4.30112e10i 0.218617i
\(667\) −2.15478e11 + 1.44000e11i −1.08868 + 0.727545i
\(668\) −6.59195e10 −0.331061
\(669\) −9.35954e10 + 1.05457e10i −0.467251 + 0.0526465i
\(670\) 6.33907e9 3.98310e9i 0.0314577 0.0197662i
\(671\) 1.29454e11 2.95471e10i 0.638597 0.145756i
\(672\) −2.65877e11 2.12030e11i −1.30378 1.03973i
\(673\) 1.43797e11 1.14675e11i 0.700956 0.558994i −0.206856 0.978371i \(-0.566323\pi\)
0.907812 + 0.419378i \(0.137752\pi\)
\(674\) 6.62537e10 2.90276e11i 0.321048 1.40660i
\(675\) −1.23721e11 + 4.32917e10i −0.595973 + 0.208540i
\(676\) −9.15290e10 + 1.90062e11i −0.438300 + 0.910140i
\(677\) 2.93543e11 + 1.84445e11i 1.39739 + 0.878037i 0.999228 0.0392785i \(-0.0125059\pi\)
0.398160 + 0.917316i \(0.369649\pi\)
\(678\) 1.48207e11 + 5.18599e10i 0.701374 + 0.245422i
\(679\) 3.80064e11 3.80064e11i 1.78804 1.78804i
\(680\) −1.59962e9 3.32164e9i −0.00748137 0.0155352i
\(681\) −4.30898e9 + 3.82433e10i −0.0200349 + 0.177814i
\(682\) 4.36919e11 + 4.92290e10i 2.01959 + 0.227553i
\(683\) −2.00326e11 + 9.64719e10i −0.920565 + 0.443321i −0.833273 0.552862i \(-0.813536\pi\)
−0.0872922 + 0.996183i \(0.527821\pi\)
\(684\) 8.13872e9 + 8.13872e9i 0.0371819 + 0.0371819i
\(685\) −2.50966e9 + 7.17219e9i −0.0113986 + 0.0325754i
\(686\) −1.84609e10 + 2.93804e10i −0.0833600 + 0.132667i
\(687\) 1.09486e11 + 5.27257e10i 0.491509 + 0.236698i
\(688\) 2.14570e10 + 6.13207e10i 0.0957670 + 0.273686i
\(689\) −4.83968e11 1.10463e11i −2.14753 0.490161i
\(690\) −8.18342e9 1.02617e10i −0.0361026 0.0452712i
\(691\) −1.48257e11 + 1.85908e11i −0.650283 + 0.815429i −0.992247 0.124284i \(-0.960337\pi\)
0.341963 + 0.939713i \(0.388908\pi\)
\(692\) −1.81640e10 7.95817e10i −0.0792113 0.347048i
\(693\) 1.20862e11 + 1.92351e11i 0.524033 + 0.833993i
\(694\) 1.93326e10 + 1.71582e11i 0.0833399 + 0.739662i
\(695\) 3.18867e9i 0.0136669i
\(696\) 1.22855e11 + 1.16132e11i 0.523546 + 0.494898i
\(697\) 9.64920e10 0.408846
\(698\) 2.54835e11 2.87130e10i 1.07359 0.120964i
\(699\) 1.20058e11 7.54372e10i 0.502899 0.315992i
\(700\) −1.75642e11 + 4.00890e10i −0.731535 + 0.166968i
\(701\) −1.41866e11 1.13135e11i −0.587500 0.468516i 0.284059 0.958807i \(-0.408319\pi\)
−0.871559 + 0.490291i \(0.836890\pi\)
\(702\) −2.53790e11 + 2.02391e11i −1.04502 + 0.833378i
\(703\) 4.22087e9 1.84928e10i 0.0172815 0.0757150i
\(704\) −2.64413e10 + 9.25223e9i −0.107645 + 0.0376665i
\(705\) 3.77870e9 7.84655e9i 0.0152963 0.0317630i
\(706\) 1.59543e11 + 1.00247e11i 0.642183 + 0.403510i
\(707\) 3.93801e10 + 1.37797e10i 0.157615 + 0.0551520i
\(708\) 1.17659e11 1.17659e11i 0.468266 0.468266i
\(709\) 1.43868e11 + 2.98746e11i 0.569351 + 1.18227i 0.964605 + 0.263698i \(0.0849423\pi\)
−0.395254 + 0.918572i \(0.629343\pi\)
\(710\) 7.49057e8 6.64807e9i 0.00294769 0.0261615i
\(711\) −1.95981e11 2.20818e10i −0.766896 0.0864084i
\(712\) 4.29614e10 2.06891e10i 0.167170 0.0805049i
\(713\) −2.78168e11 2.78168e11i −1.07634 1.07634i
\(714\) −1.83806e11 + 5.25287e11i −0.707240 + 2.02118i
\(715\) −9.97380e9 + 1.58732e10i −0.0381625 + 0.0607352i
\(716\) −1.27059e11 6.11885e10i −0.483453 0.232819i
\(717\) −1.17583e11 3.36032e11i −0.444904 1.27146i
\(718\) 1.45186e11 + 3.31377e10i 0.546294 + 0.124688i
\(719\) −1.92271e11 2.41100e11i −0.719446 0.902157i 0.278860 0.960332i \(-0.410043\pi\)
−0.998306 + 0.0581746i \(0.981472\pi\)
\(720\) −2.96680e9 + 3.72025e9i −0.0110397 + 0.0138434i
\(721\) −8.49332e10 3.72117e11i −0.314294 1.37701i
\(722\) 1.70329e11 + 2.71077e11i 0.626815 + 0.997571i
\(723\) −5.64678e10 5.01165e11i −0.206656 1.83412i
\(724\) 1.13392e11i 0.412695i
\(725\) 2.73328e11 3.86076e10i 0.989311 0.139740i
\(726\) −4.21408e11 −1.51690
\(727\) 3.26332e10 3.67687e9i 0.116821 0.0131626i −0.0533603 0.998575i \(-0.516993\pi\)
0.170181 + 0.985413i \(0.445565\pi\)
\(728\) 3.49091e11 2.19349e11i 1.24284 0.780925i
\(729\) −4.63526e10 + 1.05797e10i −0.164121 + 0.0374596i
\(730\) 4.48812e9 + 3.57916e9i 0.0158042 + 0.0126034i
\(731\) 5.11750e10 4.08107e10i 0.179221 0.142924i
\(732\) 1.86614e10 8.17611e10i 0.0649981 0.284775i
\(733\) −3.25063e10 + 1.13744e10i −0.112603 + 0.0394016i −0.385993 0.922502i \(-0.626141\pi\)
0.273389 + 0.961903i \(0.411855\pi\)
\(734\) −2.03918e11 + 4.23440e11i −0.702541 + 1.45884i
\(735\) 9.64395e9 + 6.05970e9i 0.0330450 + 0.0207635i
\(736\) −3.43959e11 1.20356e11i −1.17218 0.410165i
\(737\) −3.02455e11 + 3.02455e11i −1.02516 + 1.02516i
\(738\) −3.15614e10 6.55380e10i −0.106397 0.220937i
\(739\) 4.97673e10 4.41697e11i 0.166866 1.48097i −0.579246 0.815152i \(-0.696653\pi\)
0.746112 0.665820i \(-0.231918\pi\)
\(740\) −1.68447e9 1.89794e8i −0.00561742 0.000632931i
\(741\) −1.19369e11 + 5.74849e10i −0.395929 + 0.190669i
\(742\) −4.90195e11 4.90195e11i −1.61716 1.61716i
\(743\) 6.83563e10 1.95351e11i 0.224297 0.641004i −0.775654 0.631158i \(-0.782580\pi\)
0.999952 0.00984635i \(-0.00313424\pi\)
\(744\) −1.36525e11 + 2.17278e11i −0.445575 + 0.709128i
\(745\) 1.31860e10 + 6.35004e9i 0.0428043 + 0.0206135i
\(746\) −8.47678e10 2.42252e11i −0.273701 0.782191i
\(747\) −4.48747e10 1.02423e10i −0.144118 0.0328940i
\(748\) −1.42122e11 1.78215e11i −0.453998 0.569295i
\(749\) −3.97502e11 + 4.98451e11i −1.26302 + 1.58378i
\(750\) 6.22432e9 + 2.72705e10i 0.0196719 + 0.0861884i
\(751\) −6.67874e10 1.06292e11i −0.209959 0.334148i 0.725098 0.688646i \(-0.241795\pi\)
−0.935057 + 0.354498i \(0.884652\pi\)
\(752\) −4.39731e10 3.90272e11i −0.137504 1.22038i
\(753\) 6.81479e11i 2.11969i
\(754\) 6.07333e11 3.13811e11i 1.87906 0.970919i
\(755\) 1.60921e9 0.00495250
\(756\) −1.54054e11 + 1.73578e10i −0.471614 + 0.0531381i
\(757\) −4.00528e11 + 2.51668e11i −1.21969 + 0.766382i −0.978929 0.204203i \(-0.934540\pi\)
−0.240761 + 0.970584i \(0.577397\pi\)
\(758\) 7.84212e10 1.78991e10i 0.237551 0.0542195i
\(759\) 5.86288e11 + 4.67549e11i 1.76662 + 1.40883i
\(760\) 9.58292e8 7.64212e8i 0.00287239 0.00229066i
\(761\) −6.67227e10 + 2.92331e11i −0.198946 + 0.871639i 0.772620 + 0.634869i \(0.218946\pi\)
−0.971566 + 0.236770i \(0.923911\pi\)