Properties

Label 17.10.d.a.8.10
Level $17$
Weight $10$
Character 17.8
Analytic conductor $8.756$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 17 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 17.d (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.75560921479\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 8.10
Character \(\chi\) \(=\) 17.8
Dual form 17.10.d.a.15.10

$q$-expansion

\(f(q)\) \(=\) \(q+(16.9753 - 16.9753i) q^{2} +(74.3499 - 179.496i) q^{3} -64.3195i q^{4} +(-2350.25 - 973.503i) q^{5} +(-1784.89 - 4309.11i) q^{6} +(1813.43 - 751.147i) q^{7} +(7599.50 + 7599.50i) q^{8} +(-12773.1 - 12773.1i) q^{9} +O(q^{10})\) \(q+(16.9753 - 16.9753i) q^{2} +(74.3499 - 179.496i) q^{3} -64.3195i q^{4} +(-2350.25 - 973.503i) q^{5} +(-1784.89 - 4309.11i) q^{6} +(1813.43 - 751.147i) q^{7} +(7599.50 + 7599.50i) q^{8} +(-12773.1 - 12773.1i) q^{9} +(-56421.5 + 23370.6i) q^{10} +(6975.01 + 16839.2i) q^{11} +(-11545.1 - 4782.15i) q^{12} -165432. i q^{13} +(18032.5 - 43534.4i) q^{14} +(-349481. + 349481. i) q^{15} +290939. q^{16} +(-65408.8 - 338097. i) q^{17} -433653. q^{18} +(-97283.3 + 97283.3i) q^{19} +(-62615.3 + 151167. i) q^{20} -381352. i q^{21} +(404252. + 167447. i) q^{22} +(-266171. - 642594. i) q^{23} +(1.92910e6 - 799061. i) q^{24} +(3.19488e6 + 3.19488e6i) q^{25} +(-2.80826e6 - 2.80826e6i) q^{26} +(290626. - 120381. i) q^{27} +(-48313.4 - 116639. i) q^{28} +(3.90815e6 + 1.61881e6i) q^{29} +1.18651e7i q^{30} +(1.44976e6 - 3.50003e6i) q^{31} +(1.04782e6 - 1.04782e6i) q^{32} +3.54116e6 q^{33} +(-6.84962e6 - 4.62895e6i) q^{34} -4.99325e6 q^{35} +(-821560. + 821560. i) q^{36} +(4.54160e6 - 1.09644e7i) q^{37} +3.30282e6i q^{38} +(-2.96945e7 - 1.22999e7i) q^{39} +(-1.04625e7 - 2.52588e7i) q^{40} +(-9.08663e6 + 3.76380e6i) q^{41} +(-6.47355e6 - 6.47355e6i) q^{42} +(2.50560e7 + 2.50560e7i) q^{43} +(1.08309e6 - 448630. i) q^{44} +(1.75853e7 + 4.24546e7i) q^{45} +(-1.54265e7 - 6.38988e6i) q^{46} +5.08554e7i q^{47} +(2.16312e7 - 5.22224e7i) q^{48} +(-2.58100e7 + 2.58100e7i) q^{49} +1.08468e8 q^{50} +(-6.55503e7 - 1.33968e7i) q^{51} -1.06405e7 q^{52} +(-1.09744e7 + 1.09744e7i) q^{53} +(2.88995e6 - 6.97695e6i) q^{54} -4.63664e7i q^{55} +(1.94895e7 + 8.07281e6i) q^{56} +(1.02290e7 + 2.46950e7i) q^{57} +(9.38215e7 - 3.88621e7i) q^{58} +(-6.57387e7 - 6.57387e7i) q^{59} +(2.24784e7 + 2.24784e7i) q^{60} +(1.88735e8 - 7.81764e7i) q^{61} +(-3.48039e7 - 8.40239e7i) q^{62} +(-3.27576e7 - 1.35686e7i) q^{63} +1.13387e8i q^{64} +(-1.61049e8 + 3.88806e8i) q^{65} +(6.01122e7 - 6.01122e7i) q^{66} -5.35413e7 q^{67} +(-2.17462e7 + 4.20707e6i) q^{68} -1.35133e8 q^{69} +(-8.47617e7 + 8.47617e7i) q^{70} +(-5.11511e7 + 1.23490e8i) q^{71} -1.94138e8i q^{72} +(4.04384e7 + 1.67501e7i) q^{73} +(-1.09029e8 - 2.63218e8i) q^{74} +(8.11008e8 - 3.35930e8i) q^{75} +(6.25721e6 + 6.25721e6i) q^{76} +(2.52974e7 + 2.52974e7i) q^{77} +(-7.12866e8 + 2.95279e8i) q^{78} +(-5.24352e7 - 1.26590e8i) q^{79} +(-6.83777e8 - 2.83230e8i) q^{80} -4.16668e8i q^{81} +(-9.03564e7 + 2.18140e8i) q^{82} +(-2.90449e8 + 2.90449e8i) q^{83} -2.45284e7 q^{84} +(-1.75412e8 + 8.58287e8i) q^{85} +8.50664e8 q^{86} +(5.81140e8 - 5.81140e8i) q^{87} +(-7.49626e7 + 1.80976e8i) q^{88} -2.89162e8i q^{89} +(1.01919e9 + 4.22163e8i) q^{90} +(-1.24264e8 - 3.00000e8i) q^{91} +(-4.13314e7 + 1.71200e7i) q^{92} +(-5.20453e8 - 5.20453e8i) q^{93} +(8.63283e8 + 8.63283e8i) q^{94} +(3.23345e8 - 1.33934e8i) q^{95} +(-1.10175e8 - 2.65985e8i) q^{96} +(2.61370e8 + 1.08263e8i) q^{97} +8.76264e8i q^{98} +(1.25996e8 - 3.04181e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52q - 4q^{2} - 4q^{3} - 1140q^{5} + 12308q^{6} - 4q^{7} + 2044q^{8} - 83224q^{9} + O(q^{10}) \) \( 52q - 4q^{2} - 4q^{3} - 1140q^{5} + 12308q^{6} - 4q^{7} + 2044q^{8} - 83224q^{9} - 117636q^{10} - 115768q^{11} - 145528q^{12} + 463660q^{14} + 288244q^{15} - 3407880q^{16} - 271932q^{17} + 2193336q^{18} - 406700q^{19} + 493564q^{20} + 800964q^{22} - 4172180q^{23} + 15078440q^{24} + 11946576q^{25} - 14209012q^{26} - 7973656q^{27} + 13540804q^{28} + 7833752q^{29} + 5936252q^{31} - 26730116q^{32} - 1635208q^{33} - 53493988q^{34} + 46992776q^{35} - 12761764q^{36} + 74606796q^{37} + 74096776q^{39} - 69317672q^{40} - 71362288q^{41} - 308117664q^{42} - 3765712q^{43} + 163659820q^{44} + 14167408q^{45} + 72135428q^{46} + 164621412q^{48} - 284548508q^{49} + 226223888q^{50} - 406733132q^{51} + 103553016q^{52} - 244724728q^{53} + 971226260q^{54} + 470691652q^{56} - 440646580q^{57} - 308561768q^{58} - 481734984q^{59} + 379626176q^{60} + 507966228q^{61} + 358867236q^{62} + 1070586456q^{63} + 366263684q^{65} - 2244715148q^{66} - 311910088q^{67} - 1839196668q^{68} + 533688136q^{69} + 34867672q^{70} + 186006812q^{71} + 487115192q^{73} - 214149412q^{74} + 533015920q^{75} + 1104236912q^{76} - 237869092q^{77} - 2081523384q^{78} - 136338052q^{79} - 922534152q^{80} + 1951892384q^{82} + 1843663888q^{83} - 2630025952q^{84} - 395061976q^{85} + 1538547296q^{86} - 369395636q^{87} - 3388839640q^{88} + 874363684q^{90} + 2087197720q^{91} + 1061427500q^{92} + 576415420q^{93} + 6899365112q^{94} + 5031766876q^{95} + 490811364q^{96} - 3419996368q^{97} - 5630536112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 16.9753 16.9753i 0.750208 0.750208i −0.224310 0.974518i \(-0.572013\pi\)
0.974518 + 0.224310i \(0.0720128\pi\)
\(3\) 74.3499 179.496i 0.529950 1.27941i −0.401606 0.915813i \(-0.631548\pi\)
0.931556 0.363599i \(-0.118452\pi\)
\(4\) 64.3195i 0.125624i
\(5\) −2350.25 973.503i −1.68170 0.696582i −0.682294 0.731078i \(-0.739018\pi\)
−0.999405 + 0.0344957i \(0.989018\pi\)
\(6\) −1784.89 4309.11i −0.562252 1.35740i
\(7\) 1813.43 751.147i 0.285469 0.118245i −0.235354 0.971910i \(-0.575625\pi\)
0.520823 + 0.853664i \(0.325625\pi\)
\(8\) 7599.50 + 7599.50i 0.655964 + 0.655964i
\(9\) −12773.1 12773.1i −0.648940 0.648940i
\(10\) −56421.5 + 23370.6i −1.78421 + 0.739042i
\(11\) 6975.01 + 16839.2i 0.143641 + 0.346780i 0.979284 0.202494i \(-0.0649046\pi\)
−0.835643 + 0.549273i \(0.814905\pi\)
\(12\) −11545.1 4782.15i −0.160725 0.0665744i
\(13\) 165432.i 1.60648i −0.595656 0.803240i \(-0.703108\pi\)
0.595656 0.803240i \(-0.296892\pi\)
\(14\) 18032.5 43534.4i 0.125453 0.302870i
\(15\) −349481. + 349481.i −1.78243 + 1.78243i
\(16\) 290939. 1.10984
\(17\) −65408.8 338097.i −0.189940 0.981796i
\(18\) −433653. −0.973681
\(19\) −97283.3 + 97283.3i −0.171256 + 0.171256i −0.787531 0.616275i \(-0.788641\pi\)
0.616275 + 0.787531i \(0.288641\pi\)
\(20\) −62615.3 + 151167.i −0.0875075 + 0.211262i
\(21\) 381352.i 0.427897i
\(22\) 404252. + 167447.i 0.367917 + 0.152396i
\(23\) −266171. 642594.i −0.198329 0.478808i 0.793158 0.609016i \(-0.208435\pi\)
−0.991487 + 0.130208i \(0.958435\pi\)
\(24\) 1.92910e6 799061.i 1.18688 0.491620i
\(25\) 3.19488e6 + 3.19488e6i 1.63578 + 1.63578i
\(26\) −2.80826e6 2.80826e6i −1.20519 1.20519i
\(27\) 290626. 120381.i 0.105244 0.0435935i
\(28\) −48313.4 116639.i −0.0148544 0.0358618i
\(29\) 3.90815e6 + 1.61881e6i 1.02608 + 0.425015i 0.831295 0.555832i \(-0.187600\pi\)
0.194782 + 0.980847i \(0.437600\pi\)
\(30\) 1.18651e7i 2.67439i
\(31\) 1.44976e6 3.50003e6i 0.281947 0.680681i −0.717934 0.696112i \(-0.754912\pi\)
0.999881 + 0.0154305i \(0.00491187\pi\)
\(32\) 1.04782e6 1.04782e6i 0.176649 0.176649i
\(33\) 3.54116e6 0.519796
\(34\) −6.84962e6 4.62895e6i −0.879045 0.594057i
\(35\) −4.99325e6 −0.562441
\(36\) −821560. + 821560.i −0.0815226 + 0.0815226i
\(37\) 4.54160e6 1.09644e7i 0.398383 0.961782i −0.589666 0.807647i \(-0.700741\pi\)
0.988050 0.154135i \(-0.0492592\pi\)
\(38\) 3.30282e6i 0.256956i
\(39\) −2.96945e7 1.22999e7i −2.05535 0.851353i
\(40\) −1.04625e7 2.52588e7i −0.646201 1.56007i
\(41\) −9.08663e6 + 3.76380e6i −0.502198 + 0.208017i −0.619377 0.785093i \(-0.712615\pi\)
0.117179 + 0.993111i \(0.462615\pi\)
\(42\) −6.47355e6 6.47355e6i −0.321011 0.321011i
\(43\) 2.50560e7 + 2.50560e7i 1.11764 + 1.11764i 0.992086 + 0.125557i \(0.0400717\pi\)
0.125557 + 0.992086i \(0.459928\pi\)
\(44\) 1.08309e6 448630.i 0.0435639 0.0180448i
\(45\) 1.75853e7 + 4.24546e7i 0.639282 + 1.54336i
\(46\) −1.54265e7 6.38988e6i −0.507993 0.210418i
\(47\) 5.08554e7i 1.52018i 0.649815 + 0.760092i \(0.274846\pi\)
−0.649815 + 0.760092i \(0.725154\pi\)
\(48\) 2.16312e7 5.22224e7i 0.588161 1.41995i
\(49\) −2.58100e7 + 2.58100e7i −0.639596 + 0.639596i
\(50\) 1.08468e8 2.45435
\(51\) −6.55503e7 1.33968e7i −1.35678 0.277291i
\(52\) −1.06405e7 −0.201813
\(53\) −1.09744e7 + 1.09744e7i −0.191047 + 0.191047i −0.796149 0.605101i \(-0.793133\pi\)
0.605101 + 0.796149i \(0.293133\pi\)
\(54\) 2.88995e6 6.97695e6i 0.0462507 0.111659i
\(55\) 4.63664e7i 0.683237i
\(56\) 1.94895e7 + 8.07281e6i 0.264822 + 0.109693i
\(57\) 1.02290e7 + 2.46950e7i 0.128350 + 0.309865i
\(58\) 9.38215e7 3.88621e7i 1.08862 0.450921i
\(59\) −6.57387e7 6.57387e7i −0.706297 0.706297i 0.259458 0.965754i \(-0.416456\pi\)
−0.965754 + 0.259458i \(0.916456\pi\)
\(60\) 2.24784e7 + 2.24784e7i 0.223916 + 0.223916i
\(61\) 1.88735e8 7.81764e7i 1.74529 0.722922i 0.746976 0.664851i \(-0.231505\pi\)
0.998312 0.0580705i \(-0.0184948\pi\)
\(62\) −3.48039e7 8.40239e7i −0.299133 0.722172i
\(63\) −3.27576e7 1.35686e7i −0.261987 0.108518i
\(64\) 1.13387e8i 0.844796i
\(65\) −1.61049e8 + 3.88806e8i −1.11905 + 2.70161i
\(66\) 6.01122e7 6.01122e7i 0.389955 0.389955i
\(67\) −5.35413e7 −0.324603 −0.162301 0.986741i \(-0.551892\pi\)
−0.162301 + 0.986741i \(0.551892\pi\)
\(68\) −2.17462e7 + 4.20707e6i −0.123337 + 0.0238610i
\(69\) −1.35133e8 −0.717697
\(70\) −8.47617e7 + 8.47617e7i −0.421947 + 0.421947i
\(71\) −5.11511e7 + 1.23490e8i −0.238887 + 0.576724i −0.997168 0.0752033i \(-0.976039\pi\)
0.758281 + 0.651928i \(0.226039\pi\)
\(72\) 1.94138e8i 0.851363i
\(73\) 4.04384e7 + 1.67501e7i 0.166664 + 0.0690343i 0.464455 0.885597i \(-0.346250\pi\)
−0.297792 + 0.954631i \(0.596250\pi\)
\(74\) −1.09029e8 2.63218e8i −0.422666 1.02041i
\(75\) 8.11008e8 3.35930e8i 2.95971 1.22595i
\(76\) 6.25721e6 + 6.25721e6i 0.0215139 + 0.0215139i
\(77\) 2.52974e7 + 2.52974e7i 0.0820101 + 0.0820101i
\(78\) −7.12866e8 + 2.95279e8i −2.18063 + 0.903247i
\(79\) −5.24352e7 1.26590e8i −0.151461 0.365660i 0.829878 0.557945i \(-0.188410\pi\)
−0.981339 + 0.192286i \(0.938410\pi\)
\(80\) −6.83777e8 2.83230e8i −1.86642 0.773097i
\(81\) 4.16668e8i 1.07549i
\(82\) −9.03564e7 + 2.18140e8i −0.220697 + 0.532810i
\(83\) −2.90449e8 + 2.90449e8i −0.671767 + 0.671767i −0.958123 0.286356i \(-0.907556\pi\)
0.286356 + 0.958123i \(0.407556\pi\)
\(84\) −2.45284e7 −0.0537541
\(85\) −1.75412e8 + 8.58287e8i −0.364480 + 1.78339i
\(86\) 8.50664e8 1.67693
\(87\) 5.81140e8 5.81140e8i 1.08754 1.08754i
\(88\) −7.49626e7 + 1.80976e8i −0.133252 + 0.321698i
\(89\) 2.89162e8i 0.488524i −0.969709 0.244262i \(-0.921454\pi\)
0.969709 0.244262i \(-0.0785457\pi\)
\(90\) 1.01919e9 + 4.22163e8i 1.63744 + 0.678249i
\(91\) −1.24264e8 3.00000e8i −0.189958 0.458600i
\(92\) −4.13314e7 + 1.71200e7i −0.0601498 + 0.0249149i
\(93\) −5.20453e8 5.20453e8i −0.721453 0.721453i
\(94\) 8.63283e8 + 8.63283e8i 1.14045 + 1.14045i
\(95\) 3.23345e8 1.33934e8i 0.407296 0.168708i
\(96\) −1.10175e8 2.65985e8i −0.132392 0.319622i
\(97\) 2.61370e8 + 1.08263e8i 0.299767 + 0.124167i 0.527497 0.849557i \(-0.323131\pi\)
−0.227730 + 0.973724i \(0.573131\pi\)
\(98\) 8.76264e8i 0.959660i
\(99\) 1.25996e8 3.04181e8i 0.131825 0.318254i
\(100\) 2.05493e8 2.05493e8i 0.205493 0.205493i
\(101\) −2.20849e8 −0.211179 −0.105589 0.994410i \(-0.533673\pi\)
−0.105589 + 0.994410i \(0.533673\pi\)
\(102\) −1.34015e9 + 8.85320e8i −1.22589 + 0.809841i
\(103\) −1.05360e8 −0.0922372 −0.0461186 0.998936i \(-0.514685\pi\)
−0.0461186 + 0.998936i \(0.514685\pi\)
\(104\) 1.25720e9 1.25720e9i 1.05379 1.05379i
\(105\) −3.71247e8 + 8.96270e8i −0.298065 + 0.719593i
\(106\) 3.72588e8i 0.286651i
\(107\) 4.58939e8 + 1.90099e8i 0.338476 + 0.140201i 0.545446 0.838146i \(-0.316360\pi\)
−0.206970 + 0.978347i \(0.566360\pi\)
\(108\) −7.74286e6 1.86929e7i −0.00547639 0.0132212i
\(109\) 5.88141e8 2.43616e8i 0.399082 0.165305i −0.174110 0.984726i \(-0.555705\pi\)
0.573192 + 0.819421i \(0.305705\pi\)
\(110\) −7.87082e8 7.87082e8i −0.512570 0.512570i
\(111\) −1.63040e9 1.63040e9i −1.01939 1.01939i
\(112\) 5.27596e8 2.18538e8i 0.316826 0.131234i
\(113\) −3.64959e8 8.81090e8i −0.210568 0.508355i 0.782943 0.622093i \(-0.213718\pi\)
−0.993511 + 0.113738i \(0.963718\pi\)
\(114\) 5.92844e8 + 2.45564e8i 0.328752 + 0.136174i
\(115\) 1.76937e9i 0.943363i
\(116\) 1.04121e8 2.51370e8i 0.0533921 0.128900i
\(117\) −2.11308e9 + 2.11308e9i −1.04251 + 1.04251i
\(118\) −2.23186e9 −1.05974
\(119\) −3.72575e8 5.63983e8i −0.170315 0.257813i
\(120\) −5.31176e9 −2.33842
\(121\) 1.43241e9 1.43241e9i 0.607483 0.607483i
\(122\) 1.87675e9 4.53089e9i 0.766987 1.85167i
\(123\) 1.91086e9i 0.752757i
\(124\) −2.25120e8 9.32478e7i −0.0855099 0.0354194i
\(125\) −2.49715e9 6.02864e9i −0.914848 2.20864i
\(126\) −7.86399e8 + 3.25737e8i −0.277956 + 0.115133i
\(127\) 3.81895e9 + 3.81895e9i 1.30265 + 1.30265i 0.926600 + 0.376048i \(0.122717\pi\)
0.376048 + 0.926600i \(0.377283\pi\)
\(128\) 2.46125e9 + 2.46125e9i 0.810421 + 0.810421i
\(129\) 6.36037e9 2.63455e9i 2.02222 0.837631i
\(130\) 3.86625e9 + 9.33394e9i 1.18726 + 2.86629i
\(131\) −2.55540e9 1.05848e9i −0.758119 0.314023i −0.0300697 0.999548i \(-0.509573\pi\)
−0.728050 + 0.685525i \(0.759573\pi\)
\(132\) 2.27766e8i 0.0652989i
\(133\) −1.03342e8 + 2.49490e8i −0.0286382 + 0.0691387i
\(134\) −9.08877e8 + 9.08877e8i −0.243519 + 0.243519i
\(135\) −8.00233e8 −0.207355
\(136\) 2.07229e9 3.06644e9i 0.519429 0.768616i
\(137\) −3.06041e9 −0.742228 −0.371114 0.928587i \(-0.621024\pi\)
−0.371114 + 0.928587i \(0.621024\pi\)
\(138\) −2.29392e9 + 2.29392e9i −0.538422 + 0.538422i
\(139\) −1.35869e9 + 3.28016e9i −0.308711 + 0.745295i 0.691036 + 0.722820i \(0.257155\pi\)
−0.999747 + 0.0224750i \(0.992845\pi\)
\(140\) 3.21163e8i 0.0706561i
\(141\) 9.12836e9 + 3.78109e9i 1.94494 + 0.805621i
\(142\) 1.22797e9 + 2.96458e9i 0.253448 + 0.611878i
\(143\) 2.78574e9 1.15389e9i 0.557094 0.230756i
\(144\) −3.71619e9 3.71619e9i −0.720222 0.720222i
\(145\) −7.60919e9 7.60919e9i −1.42949 1.42949i
\(146\) 9.70790e8 4.02114e8i 0.176823 0.0732423i
\(147\) 2.71383e9 + 6.55178e9i 0.479353 + 1.15726i
\(148\) −7.05225e8 2.92114e8i −0.120823 0.0500465i
\(149\) 3.88137e9i 0.645130i −0.946547 0.322565i \(-0.895455\pi\)
0.946547 0.322565i \(-0.104545\pi\)
\(150\) 8.06456e9 1.94696e10i 1.30068 3.14012i
\(151\) 5.85814e9 5.85814e9i 0.916988 0.916988i −0.0798209 0.996809i \(-0.525435\pi\)
0.996809 + 0.0798209i \(0.0254348\pi\)
\(152\) −1.47861e9 −0.224676
\(153\) −3.48307e9 + 5.15402e9i −0.513867 + 0.760387i
\(154\) 8.58860e8 0.123049
\(155\) −6.81458e9 + 6.81458e9i −0.948301 + 0.948301i
\(156\) −7.91122e8 + 1.90994e9i −0.106950 + 0.258201i
\(157\) 1.15724e10i 1.52011i 0.649861 + 0.760053i \(0.274827\pi\)
−0.649861 + 0.760053i \(0.725173\pi\)
\(158\) −3.03900e9 1.25879e9i −0.387948 0.160693i
\(159\) 1.15393e9 + 2.78582e9i 0.143183 + 0.345674i
\(160\) −3.48269e9 + 1.44258e9i −0.420121 + 0.174020i
\(161\) −9.65365e8 9.65365e8i −0.113234 0.113234i
\(162\) −7.07305e9 7.07305e9i −0.806843 0.806843i
\(163\) 6.52779e9 2.70390e9i 0.724305 0.300017i 0.0100959 0.999949i \(-0.496786\pi\)
0.714210 + 0.699932i \(0.246786\pi\)
\(164\) 2.42086e8 + 5.84448e8i 0.0261320 + 0.0630882i
\(165\) −8.32260e9 3.44733e9i −0.874141 0.362081i
\(166\) 9.86091e9i 1.00793i
\(167\) −3.64124e9 + 8.79073e9i −0.362264 + 0.874583i 0.632704 + 0.774394i \(0.281945\pi\)
−0.994968 + 0.100189i \(0.968055\pi\)
\(168\) 2.89808e9 2.89808e9i 0.280685 0.280685i
\(169\) −1.67633e10 −1.58078
\(170\) 1.15920e10 + 1.75473e10i 1.06448 + 1.61135i
\(171\) 2.48522e9 0.222270
\(172\) 1.61159e9 1.61159e9i 0.140403 0.140403i
\(173\) 5.16138e9 1.24607e10i 0.438085 1.05763i −0.538525 0.842610i \(-0.681018\pi\)
0.976610 0.215020i \(-0.0689817\pi\)
\(174\) 1.97300e10i 1.63176i
\(175\) 8.19350e9 + 3.39386e9i 0.660387 + 0.273541i
\(176\) 2.02930e9 + 4.89917e9i 0.159419 + 0.384871i
\(177\) −1.66875e10 + 6.91220e9i −1.27795 + 0.529342i
\(178\) −4.90860e9 4.90860e9i −0.366495 0.366495i
\(179\) 1.64159e10 + 1.64159e10i 1.19516 + 1.19516i 0.975598 + 0.219564i \(0.0704633\pi\)
0.219564 + 0.975598i \(0.429537\pi\)
\(180\) 2.73066e9 1.13108e9i 0.193884 0.0803092i
\(181\) −4.00301e9 9.66412e9i −0.277225 0.669281i 0.722531 0.691338i \(-0.242978\pi\)
−0.999757 + 0.0220570i \(0.992978\pi\)
\(182\) −7.20199e9 2.98316e9i −0.486554 0.201537i
\(183\) 3.96896e10i 2.61605i
\(184\) 2.86062e9 6.90616e9i 0.183984 0.444177i
\(185\) −2.13477e10 + 2.13477e10i −1.33992 + 1.33992i
\(186\) −1.76697e10 −1.08248
\(187\) 5.23705e9 3.45966e9i 0.313184 0.206893i
\(188\) 3.27099e9 0.190972
\(189\) 4.36605e8 4.36605e8i 0.0248892 0.0248892i
\(190\) 3.21531e9 7.76244e9i 0.178991 0.432122i
\(191\) 2.86896e10i 1.55982i −0.625893 0.779909i \(-0.715265\pi\)
0.625893 0.779909i \(-0.284735\pi\)
\(192\) 2.03525e10 + 8.43027e9i 1.08084 + 0.447699i
\(193\) 4.04246e8 + 9.75935e8i 0.0209719 + 0.0506306i 0.934019 0.357224i \(-0.116277\pi\)
−0.913047 + 0.407855i \(0.866277\pi\)
\(194\) 6.27463e9 2.59904e9i 0.318039 0.131736i
\(195\) 5.78154e10 + 5.78154e10i 2.86344 + 2.86344i
\(196\) 1.66009e9 + 1.66009e9i 0.0803487 + 0.0803487i
\(197\) 1.37587e9 5.69905e8i 0.0650849 0.0269590i −0.349904 0.936786i \(-0.613786\pi\)
0.414988 + 0.909827i \(0.363786\pi\)
\(198\) −3.02474e9 7.30237e9i −0.139860 0.337653i
\(199\) −1.15991e10 4.80450e9i −0.524306 0.217175i 0.104801 0.994493i \(-0.466579\pi\)
−0.629107 + 0.777319i \(0.716579\pi\)
\(200\) 4.85589e10i 2.14602i
\(201\) −3.98079e9 + 9.61047e9i −0.172023 + 0.415300i
\(202\) −3.74898e9 + 3.74898e9i −0.158428 + 0.158428i
\(203\) 8.30310e9 0.343169
\(204\) −8.61677e8 + 4.21617e9i −0.0348344 + 0.170444i
\(205\) 2.50199e10 0.989448
\(206\) −1.78851e9 + 1.78851e9i −0.0691971 + 0.0691971i
\(207\) −4.80808e9 + 1.16077e10i −0.182014 + 0.439421i
\(208\) 4.81306e10i 1.78294i
\(209\) −2.31672e9 9.59618e8i −0.0839877 0.0347888i
\(210\) 8.91240e9 + 2.15164e10i 0.316234 + 0.763455i
\(211\) −2.80434e10 + 1.16160e10i −0.974003 + 0.403445i −0.812201 0.583378i \(-0.801731\pi\)
−0.161802 + 0.986823i \(0.551731\pi\)
\(212\) 7.05871e8 + 7.05871e8i 0.0240002 + 0.0240002i
\(213\) 1.83629e10 + 1.83629e10i 0.611270 + 0.611270i
\(214\) 1.10176e10 4.56363e9i 0.359107 0.148747i
\(215\) −3.44956e10 8.32797e10i −1.10101 2.65807i
\(216\) 3.12344e9 + 1.29377e9i 0.0976320 + 0.0404405i
\(217\) 7.43603e9i 0.227652i
\(218\) 5.84841e9 1.41193e10i 0.175381 0.423408i
\(219\) 6.01318e9 6.01318e9i 0.176647 0.176647i
\(220\) −2.98226e9 −0.0858310
\(221\) −5.59321e10 + 1.08207e10i −1.57723 + 0.305135i
\(222\) −5.53530e10 −1.52951
\(223\) −1.93597e10 + 1.93597e10i −0.524235 + 0.524235i −0.918848 0.394613i \(-0.870879\pi\)
0.394613 + 0.918848i \(0.370879\pi\)
\(224\) 1.11308e9 2.68721e9i 0.0295400 0.0713158i
\(225\) 8.16169e10i 2.12304i
\(226\) −2.11520e10 8.76145e9i −0.539341 0.223403i
\(227\) 1.30827e10 + 3.15845e10i 0.327026 + 0.789511i 0.998810 + 0.0487639i \(0.0155282\pi\)
−0.671784 + 0.740747i \(0.734472\pi\)
\(228\) 1.58837e9 6.57925e8i 0.0389265 0.0161239i
\(229\) 2.42111e9 + 2.42111e9i 0.0581775 + 0.0581775i 0.735597 0.677419i \(-0.236902\pi\)
−0.677419 + 0.735597i \(0.736902\pi\)
\(230\) 3.00356e10 + 3.00356e10i 0.707719 + 0.707719i
\(231\) 6.42165e9 2.65993e9i 0.148386 0.0614634i
\(232\) 1.73978e10 + 4.20021e10i 0.394275 + 0.951863i
\(233\) −3.20409e10 1.32718e10i −0.712202 0.295004i −0.00298684 0.999996i \(-0.500951\pi\)
−0.709216 + 0.704992i \(0.750951\pi\)
\(234\) 7.17403e10i 1.56420i
\(235\) 4.95079e10 1.19523e11i 1.05893 2.55649i
\(236\) −4.22828e9 + 4.22828e9i −0.0887279 + 0.0887279i
\(237\) −2.66210e10 −0.548096
\(238\) −1.58983e10 3.24921e9i −0.321185 0.0656419i
\(239\) 6.84083e10 1.35618 0.678092 0.734977i \(-0.262807\pi\)
0.678092 + 0.734977i \(0.262807\pi\)
\(240\) −1.01677e11 + 1.01677e11i −1.97822 + 1.97822i
\(241\) −1.10054e10 + 2.65694e10i −0.210150 + 0.507346i −0.993446 0.114302i \(-0.963537\pi\)
0.783296 + 0.621648i \(0.213537\pi\)
\(242\) 4.86312e10i 0.911478i
\(243\) −6.90701e10 2.86098e10i −1.27075 0.526364i
\(244\) −5.02827e9 1.21393e10i −0.0908164 0.219250i
\(245\) 8.57860e10 3.55337e10i 1.52114 0.630076i
\(246\) 3.24373e10 + 3.24373e10i 0.564725 + 0.564725i
\(247\) 1.60938e10 + 1.60938e10i 0.275120 + 0.275120i
\(248\) 3.76159e10 1.55810e10i 0.631449 0.261555i
\(249\) 3.05398e10 + 7.37295e10i 0.503464 + 1.21547i
\(250\) −1.44728e11 5.99481e10i −2.34326 0.970612i
\(251\) 5.08079e10i 0.807978i 0.914764 + 0.403989i \(0.132377\pi\)
−0.914764 + 0.403989i \(0.867623\pi\)
\(252\) −8.72728e8 + 2.10695e9i −0.0136325 + 0.0329118i
\(253\) 8.96420e9 8.96420e9i 0.137553 0.137553i
\(254\) 1.29655e11 1.95451
\(255\) 1.41018e11 + 9.52993e10i 2.08854 + 1.41143i
\(256\) 2.55069e10 0.371174
\(257\) −3.13927e10 + 3.13927e10i −0.448879 + 0.448879i −0.894982 0.446103i \(-0.852812\pi\)
0.446103 + 0.894982i \(0.352812\pi\)
\(258\) 6.32467e10 1.52691e11i 0.888688 2.14548i
\(259\) 2.32945e10i 0.321666i
\(260\) 2.50078e10 + 1.03586e10i 0.339388 + 0.140579i
\(261\) −2.92419e10 7.05963e10i −0.390053 0.941672i
\(262\) −6.13465e10 + 2.54106e10i −0.804330 + 0.333164i
\(263\) 3.14949e10 + 3.14949e10i 0.405920 + 0.405920i 0.880313 0.474393i \(-0.157333\pi\)
−0.474393 + 0.880313i \(0.657333\pi\)
\(264\) 2.69111e10 + 2.69111e10i 0.340968 + 0.340968i
\(265\) 3.64763e10 1.51090e10i 0.454365 0.188204i
\(266\) 2.48090e9 + 5.98943e9i 0.0303838 + 0.0733530i
\(267\) −5.19035e10 2.14991e10i −0.625023 0.258893i
\(268\) 3.44375e9i 0.0407779i
\(269\) −2.96827e10 + 7.16604e10i −0.345635 + 0.834438i 0.651489 + 0.758658i \(0.274145\pi\)
−0.997125 + 0.0757798i \(0.975855\pi\)
\(270\) −1.35842e10 + 1.35842e10i −0.155559 + 0.155559i
\(271\) −2.04736e10 −0.230586 −0.115293 0.993332i \(-0.536781\pi\)
−0.115293 + 0.993332i \(0.536781\pi\)
\(272\) −1.90300e10 9.83655e10i −0.210803 1.08964i
\(273\) −6.30879e10 −0.687407
\(274\) −5.19513e10 + 5.19513e10i −0.556826 + 0.556826i
\(275\) −3.15148e10 + 7.60834e10i −0.332290 + 0.802218i
\(276\) 8.69170e9i 0.0901600i
\(277\) 8.43800e10 + 3.49513e10i 0.861154 + 0.356702i 0.769159 0.639058i \(-0.220676\pi\)
0.0919951 + 0.995759i \(0.470676\pi\)
\(278\) 3.26175e10 + 7.87457e10i 0.327529 + 0.790724i
\(279\) −6.32241e10 + 2.61883e10i −0.624689 + 0.258754i
\(280\) −3.79462e10 3.79462e10i −0.368941 0.368941i
\(281\) −1.12465e11 1.12465e11i −1.07607 1.07607i −0.996858 0.0792071i \(-0.974761\pi\)
−0.0792071 0.996858i \(-0.525239\pi\)
\(282\) 2.19141e11 9.07713e10i 2.06349 0.854727i
\(283\) −1.88974e10 4.56224e10i −0.175131 0.422804i 0.811802 0.583932i \(-0.198487\pi\)
−0.986933 + 0.161129i \(0.948487\pi\)
\(284\) 7.94280e9 + 3.29002e9i 0.0724505 + 0.0300100i
\(285\) 6.79973e10i 0.610506i
\(286\) 2.77011e10 6.68764e10i 0.244822 0.591052i
\(287\) −1.36508e10 + 1.36508e10i −0.118765 + 0.118765i
\(288\) −2.67678e10 −0.229269
\(289\) −1.10031e11 + 4.42291e10i −0.927846 + 0.372964i
\(290\) −2.58336e11 −2.14484
\(291\) 3.88657e10 3.88657e10i 0.317723 0.317723i
\(292\) 1.07736e9 2.60098e9i 0.00867238 0.0209370i
\(293\) 9.46411e10i 0.750197i −0.926985 0.375099i \(-0.877609\pi\)
0.926985 0.375099i \(-0.122391\pi\)
\(294\) 1.57286e11 + 6.51501e10i 1.22780 + 0.508572i
\(295\) 9.05052e10 + 2.18499e11i 0.695784 + 1.67977i
\(296\) 1.17838e11 4.88100e10i 0.892219 0.369569i
\(297\) 4.05424e9 + 4.05424e9i 0.0302347 + 0.0302347i
\(298\) −6.58873e10 6.58873e10i −0.483981 0.483981i
\(299\) −1.06306e11 + 4.40333e10i −0.769195 + 0.318611i
\(300\) −2.16069e10 5.21636e10i −0.154009 0.371811i
\(301\) 6.42579e10 + 2.66165e10i 0.451209 + 0.186897i
\(302\) 1.98887e11i 1.37586i
\(303\) −1.64201e10 + 3.96417e10i −0.111914 + 0.270184i
\(304\) −2.83035e10 + 2.83035e10i −0.190068 + 0.190068i
\(305\) −5.19677e11 −3.43862
\(306\) 2.83648e10 + 1.46617e11i 0.184941 + 0.955955i
\(307\) 1.91043e11 1.22746 0.613731 0.789515i \(-0.289668\pi\)
0.613731 + 0.789515i \(0.289668\pi\)
\(308\) 1.62712e9 1.62712e9i 0.0103024 0.0103024i
\(309\) −7.83347e9 + 1.89117e10i −0.0488811 + 0.118009i
\(310\) 2.31359e11i 1.42285i
\(311\) 1.68463e11 + 6.97795e10i 1.02113 + 0.422966i 0.829504 0.558501i \(-0.188623\pi\)
0.191628 + 0.981468i \(0.438623\pi\)
\(312\) −1.32191e11 3.19136e11i −0.789777 1.90669i
\(313\) −2.00329e11 + 8.29791e10i −1.17976 + 0.488674i −0.884409 0.466714i \(-0.845438\pi\)
−0.295355 + 0.955388i \(0.595438\pi\)
\(314\) 1.96444e11 + 1.96444e11i 1.14040 + 1.14040i
\(315\) 6.37792e10 + 6.37792e10i 0.364990 + 0.364990i
\(316\) −8.14220e9 + 3.37261e9i −0.0459356 + 0.0190272i
\(317\) 9.15764e10 + 2.21085e11i 0.509351 + 1.22968i 0.944258 + 0.329206i \(0.106781\pi\)
−0.434907 + 0.900475i \(0.643219\pi\)
\(318\) 6.68783e10 + 2.77019e10i 0.366744 + 0.151910i
\(319\) 7.71011e10i 0.416872i
\(320\) 1.10382e11 2.66486e11i 0.588470 1.42069i
\(321\) 6.82441e10 6.82441e10i 0.358750 0.358750i
\(322\) −3.27747e10 −0.169897
\(323\) 3.92544e10 + 2.65280e10i 0.200667 + 0.135610i
\(324\) −2.67999e10 −0.135108
\(325\) 5.28536e11 5.28536e11i 2.62784 2.62784i
\(326\) 6.49115e10 1.56710e11i 0.318304 0.768455i
\(327\) 1.23682e11i 0.598194i
\(328\) −9.76568e10 4.04508e10i −0.465876 0.192972i
\(329\) 3.81998e10 + 9.22225e10i 0.179755 + 0.433966i
\(330\) −1.99798e11 + 8.27590e10i −0.927424 + 0.384151i
\(331\) −1.90564e11 1.90564e11i −0.872601 0.872601i 0.120154 0.992755i \(-0.461661\pi\)
−0.992755 + 0.120154i \(0.961661\pi\)
\(332\) 1.86816e10 + 1.86816e10i 0.0843902 + 0.0843902i
\(333\) −1.98059e11 + 8.20389e10i −0.882666 + 0.365612i
\(334\) 8.74140e10 + 2.11036e11i 0.384346 + 0.927893i
\(335\) 1.25835e11 + 5.21226e10i 0.545884 + 0.226112i
\(336\) 1.10950e11i 0.474898i
\(337\) 7.22754e10 1.74488e11i 0.305250 0.736939i −0.694596 0.719400i \(-0.744417\pi\)
0.999846 0.0175389i \(-0.00558310\pi\)
\(338\) −2.84562e11 + 2.84562e11i −1.18591 + 1.18591i
\(339\) −1.85287e11 −0.761985
\(340\) 5.52046e10 + 1.12824e10i 0.224037 + 0.0457875i
\(341\) 6.90496e10 0.276546
\(342\) 4.21872e10 4.21872e10i 0.166749 0.166749i
\(343\) −5.77290e10 + 1.39370e11i −0.225201 + 0.543683i
\(344\) 3.80825e11i 1.46627i
\(345\) 3.17596e11 + 1.31553e11i 1.20695 + 0.499935i
\(346\) −1.23907e11 2.99139e11i −0.464788 1.12210i
\(347\) 1.56709e11 6.49111e10i 0.580246 0.240346i −0.0732020 0.997317i \(-0.523322\pi\)
0.653448 + 0.756971i \(0.273322\pi\)
\(348\) −3.73787e10 3.73787e10i −0.136621 0.136621i
\(349\) 2.15716e11 + 2.15716e11i 0.778339 + 0.778339i 0.979548 0.201209i \(-0.0644871\pi\)
−0.201209 + 0.979548i \(0.564487\pi\)
\(350\) 1.96699e11 8.14752e10i 0.700640 0.290215i
\(351\) −1.99149e10 4.80789e10i −0.0700320 0.169072i
\(352\) 2.49530e10 + 1.03359e10i 0.0866323 + 0.0358843i
\(353\) 1.48766e10i 0.0509938i −0.999675 0.0254969i \(-0.991883\pi\)
0.999675 0.0254969i \(-0.00811680\pi\)
\(354\) −1.65939e11 + 4.00612e11i −0.561608 + 1.35584i
\(355\) 2.40435e11 2.40435e11i 0.803472 0.803472i
\(356\) −1.85988e10 −0.0613704
\(357\) −1.28934e11 + 2.49438e10i −0.420107 + 0.0812746i
\(358\) 5.57329e11 1.79324
\(359\) 5.75504e10 5.75504e10i 0.182862 0.182862i −0.609740 0.792602i \(-0.708726\pi\)
0.792602 + 0.609740i \(0.208726\pi\)
\(360\) −1.88994e11 + 4.56272e11i −0.593044 + 1.43174i
\(361\) 3.03760e11i 0.941342i
\(362\) −2.32003e11 9.60988e10i −0.710077 0.294123i
\(363\) −1.50613e11 3.63613e11i −0.455286 1.09916i
\(364\) −1.92958e10 + 7.99260e9i −0.0576113 + 0.0238634i
\(365\) −7.87338e10 7.87338e10i −0.232190 0.232190i
\(366\) −6.73741e11 6.73741e11i −1.96258 1.96258i
\(367\) −2.55267e11 + 1.05735e11i −0.734510 + 0.304244i −0.718404 0.695626i \(-0.755127\pi\)
−0.0161060 + 0.999870i \(0.505127\pi\)
\(368\) −7.74395e10 1.86955e11i −0.220114 0.531402i
\(369\) 1.64140e11 + 6.79889e10i 0.460888 + 0.190906i
\(370\) 7.24767e11i 2.01044i
\(371\) −1.16580e10 + 2.81448e10i −0.0319477 + 0.0771286i
\(372\) −3.34753e10 + 3.34753e10i −0.0906319 + 0.0906319i
\(373\) −6.75562e10 −0.180707 −0.0903536 0.995910i \(-0.528800\pi\)
−0.0903536 + 0.995910i \(0.528800\pi\)
\(374\) 3.01716e10 1.47629e11i 0.0797399 0.390166i
\(375\) −1.26778e12 −3.31058
\(376\) −3.86475e11 + 3.86475e11i −0.997186 + 0.997186i
\(377\) 2.67803e11 6.46533e11i 0.682777 1.64837i
\(378\) 1.48230e10i 0.0373441i
\(379\) −2.11137e10 8.74557e9i −0.0525639 0.0217727i 0.356247 0.934392i \(-0.384056\pi\)
−0.408811 + 0.912619i \(0.634056\pi\)
\(380\) −8.61457e9 2.07974e10i −0.0211937 0.0511662i
\(381\) 9.69426e11 4.01550e11i 2.35696 0.976285i
\(382\) −4.87013e11 4.87013e11i −1.17019 1.17019i
\(383\) −3.82869e11 3.82869e11i −0.909192 0.909192i 0.0870148 0.996207i \(-0.472267\pi\)
−0.996207 + 0.0870148i \(0.972267\pi\)
\(384\) 6.24779e11 2.58792e11i 1.46635 0.607380i
\(385\) −3.48280e10 8.40821e10i −0.0807895 0.195043i
\(386\) 2.34289e10 + 9.70458e9i 0.0537168 + 0.0222502i
\(387\) 6.40084e11i 1.45057i
\(388\) 6.96344e9 1.68112e10i 0.0155984 0.0376579i
\(389\) −1.72480e11 + 1.72480e11i −0.381914 + 0.381914i −0.871791 0.489878i \(-0.837041\pi\)
0.489878 + 0.871791i \(0.337041\pi\)
\(390\) 1.96286e12 4.29635
\(391\) −1.99849e11 + 1.32023e11i −0.432421 + 0.285663i
\(392\) −3.92286e11 −0.839104
\(393\) −3.79987e11 + 3.79987e11i −0.803530 + 0.803530i
\(394\) 1.36815e10 3.30301e10i 0.0286023 0.0690521i
\(395\) 3.48563e11i 0.720434i
\(396\) −1.95648e10 8.10399e9i −0.0399803 0.0165604i
\(397\) 2.58257e11 + 6.23487e11i 0.521788 + 1.25971i 0.936792 + 0.349888i \(0.113780\pi\)
−0.415004 + 0.909820i \(0.636220\pi\)
\(398\) −2.78455e11 + 1.15340e11i −0.556264 + 0.230412i
\(399\) 3.70991e10 + 3.70991e10i 0.0732800 + 0.0732800i
\(400\) 9.29513e11 + 9.29513e11i 1.81545 + 1.81545i
\(401\) −3.46789e11 + 1.43645e11i −0.669754 + 0.277421i −0.691537 0.722341i \(-0.743066\pi\)
0.0217824 + 0.999763i \(0.493066\pi\)
\(402\) 9.55654e10 + 2.30715e11i 0.182509 + 0.440615i
\(403\) −5.79017e11 2.39837e11i −1.09350 0.452943i
\(404\) 1.42049e10i 0.0265291i
\(405\) −4.05628e11 + 9.79272e11i −0.749169 + 1.80866i
\(406\) 1.40947e11 1.40947e11i 0.257448 0.257448i
\(407\) 2.16309e11 0.390751
\(408\) −3.96341e11 5.99959e11i −0.708105 1.07189i
\(409\) 6.31772e11 1.11636 0.558182 0.829719i \(-0.311499\pi\)
0.558182 + 0.829719i \(0.311499\pi\)
\(410\) 4.24719e11 4.24719e11i 0.742292 0.742292i
\(411\) −2.27541e11 + 5.49333e11i −0.393344 + 0.949615i
\(412\) 6.77668e9i 0.0115872i
\(413\) −1.68592e11 6.98330e10i −0.285142 0.118110i
\(414\) 1.15426e11 + 2.78663e11i 0.193109 + 0.466206i
\(415\) 9.65381e11 3.99874e11i 1.59765 0.661769i
\(416\) −1.73343e11 1.73343e11i −0.283783 0.283783i
\(417\) 4.87759e11 + 4.87759e11i 0.789938 + 0.789938i
\(418\) −5.56167e10 + 2.30372e10i −0.0891071 + 0.0369094i
\(419\) 2.22593e11 + 5.37386e11i 0.352815 + 0.851772i 0.996270 + 0.0862876i \(0.0275004\pi\)
−0.643455 + 0.765484i \(0.722500\pi\)
\(420\) 5.76477e10 + 2.38784e10i 0.0903982 + 0.0374442i
\(421\) 3.73500e11i 0.579457i 0.957109 + 0.289729i \(0.0935650\pi\)
−0.957109 + 0.289729i \(0.906435\pi\)
\(422\) −2.78861e11 + 6.73229e11i −0.428037 + 1.03337i
\(423\) 6.49580e11 6.49580e11i 0.986509 0.986509i
\(424\) −1.66801e11 −0.250640
\(425\) 8.71205e11 1.28915e12i 1.29530 1.91670i
\(426\) 6.23430e11 0.917159
\(427\) 2.83535e11 2.83535e11i 0.412744 0.412744i
\(428\) 1.22271e10 2.95187e10i 0.0176127 0.0425207i
\(429\) 5.85823e11i 0.835042i
\(430\) −1.99927e12 8.28124e11i −2.82009 1.16812i
\(431\) −5.05594e11 1.22061e12i −0.705755 1.70384i −0.710345 0.703853i \(-0.751461\pi\)
0.00459030 0.999989i \(-0.498539\pi\)
\(432\) 8.45542e10 3.50235e10i 0.116804 0.0483819i
\(433\) 3.22957e11 + 3.22957e11i 0.441519 + 0.441519i 0.892522 0.451004i \(-0.148934\pi\)
−0.451004 + 0.892522i \(0.648934\pi\)
\(434\) −1.26229e11 1.26229e11i −0.170787 0.170787i
\(435\) −1.93156e12 + 8.00080e11i −2.58647 + 1.07135i
\(436\) −1.56693e10 3.78290e10i −0.0207663 0.0501343i
\(437\) 8.84076e10 + 3.66196e10i 0.115964 + 0.0480339i
\(438\) 2.04151e11i 0.265043i
\(439\) 8.69315e10 2.09871e11i 0.111709 0.269689i −0.858132 0.513430i \(-0.828375\pi\)
0.969840 + 0.243741i \(0.0783747\pi\)
\(440\) 3.52361e11 3.52361e11i 0.448179 0.448179i
\(441\) 6.59347e11 0.830119
\(442\) −7.65778e11 + 1.13315e12i −0.954340 + 1.41217i
\(443\) 1.03387e12 1.27541 0.637706 0.770280i \(-0.279883\pi\)
0.637706 + 0.770280i \(0.279883\pi\)
\(444\) −1.04867e11 + 1.04867e11i −0.128060 + 0.128060i
\(445\) −2.81500e11 + 6.79601e11i −0.340297 + 0.821550i
\(446\) 6.57271e11i 0.786571i
\(447\) −6.96692e11 2.88579e11i −0.825386 0.341886i
\(448\) 8.51699e10 + 2.05618e11i 0.0998930 + 0.241163i
\(449\) −9.82075e11 + 4.06789e11i −1.14034 + 0.472346i −0.871285 0.490777i \(-0.836713\pi\)
−0.269060 + 0.963123i \(0.586713\pi\)
\(450\) −1.38547e12 1.38547e12i −1.59272 1.59272i
\(451\) −1.26759e11 1.26759e11i −0.144272 0.144272i
\(452\) −5.66713e10 + 2.34740e10i −0.0638616 + 0.0264524i
\(453\) −6.15964e11 1.48707e12i −0.687248 1.65916i
\(454\) 7.58239e11 + 3.14073e11i 0.837635 + 0.346960i
\(455\) 8.26044e11i 0.903549i
\(456\) −1.09934e11 + 2.65405e11i −0.119067 + 0.287453i
\(457\) −5.84376e10 + 5.84376e10i −0.0626714 + 0.0626714i −0.737748 0.675076i \(-0.764111\pi\)
0.675076 + 0.737748i \(0.264111\pi\)
\(458\) 8.21980e10 0.0872904
\(459\) −5.97100e10 9.03857e10i −0.0627899 0.0950479i
\(460\) 1.13805e11 0.118509
\(461\) −1.35041e11 + 1.35041e11i −0.139255 + 0.139255i −0.773298 0.634043i \(-0.781394\pi\)
0.634043 + 0.773298i \(0.281394\pi\)
\(462\) 6.38561e10 1.54162e11i 0.0652099 0.157431i
\(463\) 9.16066e11i 0.926429i −0.886246 0.463214i \(-0.846696\pi\)
0.886246 0.463214i \(-0.153304\pi\)
\(464\) 1.13703e12 + 4.70973e11i 1.13878 + 0.471700i
\(465\) 7.16529e11 + 1.72986e12i 0.710715 + 1.71582i
\(466\) −7.69196e11 + 3.18611e11i −0.755614 + 0.312986i
\(467\) 1.23947e12 + 1.23947e12i 1.20590 + 1.20590i 0.972343 + 0.233558i \(0.0750368\pi\)
0.233558 + 0.972343i \(0.424963\pi\)
\(468\) 1.35912e11 + 1.35912e11i 0.130964 + 0.130964i
\(469\) −9.70933e10 + 4.02173e10i −0.0926640 + 0.0383827i
\(470\) −1.18852e12 2.86934e12i −1.12348 2.71232i
\(471\) 2.07720e12 + 8.60404e11i 1.94484 + 0.805580i
\(472\) 9.99162e11i 0.926610i
\(473\) −2.47156e11 + 5.96687e11i −0.227037 + 0.548115i
\(474\) −4.51898e11 + 4.51898e11i −0.411186 + 0.411186i
\(475\) −6.21616e11 −0.560275
\(476\) −3.62751e10 + 2.39638e10i −0.0323875 + 0.0213956i
\(477\) 2.80355e11 0.247957
\(478\) 1.16125e12 1.16125e12i 1.01742 1.01742i
\(479\) −3.08134e11 + 7.43901e11i −0.267442 + 0.645662i −0.999362 0.0357289i \(-0.988625\pi\)
0.731919 + 0.681391i \(0.238625\pi\)
\(480\) 7.32385e11i 0.629730i
\(481\) −1.81386e12 7.51327e11i −1.54508 0.639994i
\(482\) 2.64203e11 + 6.37841e11i 0.222959 + 0.538271i
\(483\) −2.45054e11 + 1.01505e11i −0.204880 + 0.0848642i
\(484\) −9.21322e10 9.21322e10i −0.0763145 0.0763145i
\(485\) −5.08890e11 5.08890e11i −0.417625 0.417625i
\(486\) −1.65814e12 + 6.86824e11i −1.34821 + 0.558448i
\(487\) 7.74597e10 + 1.87004e11i 0.0624015 + 0.150651i 0.952004 0.306084i \(-0.0990189\pi\)
−0.889603 + 0.456735i \(0.849019\pi\)
\(488\) 2.02839e12 + 8.40186e11i 1.61906 + 0.670635i
\(489\) 1.37275e12i 1.08568i
\(490\) 8.53046e11 2.05943e12i 0.668482 1.61386i
\(491\) −9.92536e11 + 9.92536e11i −0.770690 + 0.770690i −0.978227 0.207538i \(-0.933455\pi\)
0.207538 + 0.978227i \(0.433455\pi\)
\(492\) 1.22905e11 0.0945645
\(493\) 2.91686e11 1.42722e12i 0.222385 1.08812i
\(494\) 5.46393e11 0.412794
\(495\) −5.92242e11 + 5.92242e11i −0.443380 + 0.443380i
\(496\) 4.21791e11 1.01829e12i 0.312917 0.755449i
\(497\) 2.62362e11i 0.192884i
\(498\) 1.77000e12 + 7.33157e11i 1.28956 + 0.534152i
\(499\) −5.15595e11 1.24476e12i −0.372268 0.898735i −0.993365 0.115001i \(-0.963313\pi\)
0.621097 0.783734i \(-0.286687\pi\)
\(500\) −3.87760e11 + 1.60615e11i −0.277458 + 0.114927i
\(501\) 1.30718e12 + 1.30718e12i 0.926970 + 0.926970i
\(502\) 8.62478e11 + 8.62478e11i 0.606152 + 0.606152i
\(503\) 8.96339e11 3.71276e11i 0.624333 0.258607i −0.0480100 0.998847i \(-0.515288\pi\)
0.672343 + 0.740240i \(0.265288\pi\)
\(504\) −1.45826e11 3.52056e11i −0.100670 0.243038i
\(505\) 5.19050e11 + 2.14998e11i 0.355139 + 0.147103i
\(506\) 3.04340e11i 0.206386i
\(507\) −1.24635e12 + 3.00896e12i −0.837731 + 2.02246i
\(508\) 2.45633e11 2.45633e11i 0.163644 0.163644i
\(509\) 4.58129e11 0.302523 0.151261 0.988494i \(-0.451666\pi\)
0.151261 + 0.988494i \(0.451666\pi\)
\(510\) 4.01154e12 7.76080e11i 2.62570 0.507973i
\(511\) 8.59139e10 0.0557403
\(512\) −8.27174e11 + 8.27174e11i −0.531964 + 0.531964i
\(513\) −1.65620e10 + 3.99841e10i −0.0105580 + 0.0254894i
\(514\) 1.06580e12i 0.673506i
\(515\) 2.47621e11 + 1.02568e11i 0.155115 + 0.0642508i
\(516\) −1.69453e11 4.09096e11i −0.105227 0.254040i
\(517\) −8.56362e11 + 3.54717e11i −0.527169 + 0.218361i
\(518\) −3.95431e11 3.95431e11i −0.241316 0.241316i
\(519\) −1.85290e12 1.85290e12i −1.12098 1.12098i
\(520\) −4.17862e12 + 1.73084e12i −2.50621 + 1.03811i
\(521\) 3.74746e11 + 9.04716e11i 0.222827 + 0.537951i 0.995272 0.0971306i \(-0.0309665\pi\)
−0.772445 + 0.635082i \(0.780966\pi\)
\(522\) −1.69478e12 7.02001e11i −0.999071 0.413829i
\(523\) 1.82449e12i 1.06631i −0.846016 0.533157i \(-0.821006\pi\)
0.846016 0.533157i \(-0.178994\pi\)
\(524\) −6.80809e10 + 1.64362e11i −0.0394489 + 0.0952380i
\(525\) 1.21837e12 1.21837e12i 0.699943 0.699943i
\(526\) 1.06927e12 0.609048
\(527\) −1.27818e12 2.61226e11i −0.721843 0.147526i
\(528\) 1.03026e12 0.576892
\(529\) 9.31527e11 9.31527e11i 0.517184 0.517184i
\(530\) 3.62716e11 8.75674e11i 0.199676 0.482060i
\(531\) 1.67937e12i 0.916689i
\(532\) 1.60471e10 + 6.64693e9i 0.00868549 + 0.00359765i
\(533\) 6.22655e11 + 1.50322e12i 0.334176 + 0.806771i
\(534\) −1.24603e12 + 5.16122e11i −0.663121 + 0.274674i
\(535\) −8.93557e11 8.93557e11i −0.471553 0.471553i
\(536\) −4.06887e11 4.06887e11i −0.212928 0.212928i
\(537\) 4.16712e12 1.72608e12i 2.16248 0.895728i
\(538\) 7.12583e11 + 1.72033e12i 0.366703 + 0.885300i
\(539\) −6.14644e11 2.54594e11i −0.313671 0.129927i
\(540\) 5.14706e10i 0.0260488i
\(541\) 9.74086e11 2.35165e12i 0.488888 1.18028i −0.466392 0.884578i \(-0.654446\pi\)
0.955280 0.295703i \(-0.0955537\pi\)
\(542\) −3.47545e11 + 3.47545e11i −0.172987 + 0.172987i
\(543\) −2.03230e12 −1.00320
\(544\) −4.22801e11 2.85728e11i −0.206986 0.139881i
\(545\) −1.61944e12 −0.786285
\(546\) −1.07093e12 + 1.07093e12i −0.515698 + 0.515698i
\(547\) −2.97231e11 + 7.17578e11i −0.141955 + 0.342710i −0.978827 0.204689i \(-0.934382\pi\)
0.836872 + 0.547398i \(0.184382\pi\)
\(548\) 1.96844e11i 0.0932417i
\(549\) −3.40928e12 1.41217e12i −1.60172 0.663455i
\(550\) 7.56564e11 + 1.82651e12i 0.352544 + 0.851117i
\(551\) −5.37680e11 + 2.22714e11i −0.248509 + 0.102936i
\(552\) −1.02694e12 1.02694e12i −0.470783 0.470783i
\(553\) −1.90175e11 1.90175e11i −0.0864750 0.0864750i
\(554\) 2.02568e12 8.39065e11i 0.913645 0.378444i
\(555\) 2.24464e12 + 5.41905e12i 1.00422 + 2.42440i
\(556\) 2.10978e11 + 8.73901e10i 0.0936271 + 0.0387816i
\(557\) 1.13490e12i 0.499586i 0.968299 + 0.249793i \(0.0803626\pi\)
−0.968299 + 0.249793i \(0.919637\pi\)
\(558\) −6.28693e11 + 1.51780e12i −0.274527 + 0.662766i
\(559\) 4.14507e12 4.14507e12i 1.79547 1.79547i
\(560\) −1.45273e12 −0.624221
\(561\) −2.31623e11 1.19726e12i −0.0987301 0.510334i
\(562\) −3.81824e12 −1.61455
\(563\) −4.84028e11 + 4.84028e11i −0.203041 + 0.203041i −0.801301 0.598261i \(-0.795859\pi\)
0.598261 + 0.801301i \(0.295859\pi\)
\(564\) 2.43198e11 5.87132e11i 0.101205 0.244332i
\(565\) 2.42607e12i 1.00158i
\(566\) −1.09524e12 4.53663e11i −0.448575 0.185806i
\(567\) −3.12979e11 7.55598e11i −0.127172 0.307020i
\(568\) −1.32718e12 + 5.49737e11i −0.535012 + 0.221609i
\(569\) 3.02209e11 + 3.02209e11i 0.120866 + 0.120866i 0.764952 0.644087i \(-0.222762\pi\)
−0.644087 + 0.764952i \(0.722762\pi\)
\(570\) −1.15427e12 1.15427e12i −0.458006 0.458006i
\(571\) 3.09073e12 1.28022e12i 1.21674 0.503991i 0.320370 0.947293i \(-0.396193\pi\)
0.896373 + 0.443301i \(0.146193\pi\)
\(572\) −7.42178e10 1.79178e11i −0.0289885 0.0699845i
\(573\) −5.14968e12 2.13307e12i −1.99565 0.826625i
\(574\) 4.63451e11i 0.178197i
\(575\) 1.20262e12 2.90339e12i 0.458801 1.10764i
\(576\) 1.44830e12 1.44830e12i 0.548222 0.548222i
\(577\) 6.11445e10 0.0229650 0.0114825 0.999934i \(-0.496345\pi\)
0.0114825 + 0.999934i \(0.496345\pi\)
\(578\) −1.11701e12 + 2.61861e12i −0.416276 + 0.975878i
\(579\) 2.05233e11 0.0758914
\(580\) −4.89419e11 + 4.89419e11i −0.179579 + 0.179579i
\(581\) −3.08539e11 + 7.44879e11i −0.112336 + 0.271202i
\(582\) 1.31951e12i 0.476716i
\(583\) −2.61348e11 1.08254e11i −0.0936936 0.0388092i
\(584\) 1.80019e11 + 4.34604e11i 0.0640413 + 0.154609i
\(585\) 7.02335e12 2.90917e12i 2.47938 1.02699i
\(586\) −1.60656e12 1.60656e12i −0.562804 0.562804i
\(587\) 1.39780e12 + 1.39780e12i 0.485928 + 0.485928i 0.907019 0.421090i \(-0.138352\pi\)
−0.421090 + 0.907019i \(0.638352\pi\)
\(588\) 4.21407e11 1.74553e11i 0.145380 0.0602183i
\(589\) 1.99457e11 + 4.81531e11i 0.0682857 + 0.164856i
\(590\) 5.24543e12 + 2.17273e12i 1.78216 + 0.738195i
\(591\) 2.89337e11i 0.0975573i
\(592\) 1.32133e12 3.18996e12i 0.442143 1.06743i
\(593\) −1.83109e12 + 1.83109e12i −0.608083 + 0.608083i −0.942445 0.334362i \(-0.891479\pi\)
0.334362 + 0.942445i \(0.391479\pi\)
\(594\) 1.37644e11 0.0453646
\(595\) 3.26602e11 + 1.68820e12i 0.106830 + 0.552202i
\(596\) −2.49648e11 −0.0810438
\(597\) −1.72478e12 + 1.72478e12i −0.555711 + 0.555711i
\(598\) −1.05709e12 + 2.55205e12i −0.338032 + 0.816081i
\(599\) 2.28277e12i 0.724507i −0.932080 0.362253i \(-0.882008\pi\)
0.932080 0.362253i \(-0.117992\pi\)
\(600\) 8.71615e12 + 3.61035e12i 2.74564 + 1.13728i
\(601\) −1.21003e12 2.92128e12i −0.378322 0.913350i −0.992281 0.124012i \(-0.960424\pi\)
0.613959 0.789338i \(-0.289576\pi\)
\(602\) 1.54262e12 6.38973e11i 0.478712 0.198289i
\(603\) 6.83888e11 + 6.83888e11i 0.210648 + 0.210648i
\(604\) −3.76793e11 3.76793e11i −0.115196 0.115196i
\(605\) −4.76098e12 + 1.97206e12i −1.44477 + 0.598442i
\(606\) 3.94192e11 + 9.51664e11i 0.118736 + 0.286653i
\(607\) 2.36977e12 + 9.81592e11i 0.708529 + 0.293482i 0.707696 0.706517i \(-0.249735\pi\)
0.000833082 1.00000i \(0.499735\pi\)
\(608\) 2.03870e11i 0.0605046i
\(609\) 6.17335e11 1.49038e12i 0.181862 0.439055i
\(610\) −8.82166e12 + 8.82166e12i −2.57968 + 2.57968i
\(611\) 8.41312e12 2.44215
\(612\) 3.31504e11 + 2.24030e11i 0.0955229 + 0.0645541i
\(613\) −1.33870e12 −0.382923 −0.191461 0.981500i \(-0.561323\pi\)
−0.191461 + 0.981500i \(0.561323\pi\)
\(614\) 3.24301e12 3.24301e12i 0.920852 0.920852i
\(615\) 1.86022e12 4.49098e12i 0.524357 1.26591i
\(616\) 3.84495e11i 0.107591i
\(617\) −3.64500e11 1.50981e11i −0.101255 0.0419410i 0.331481 0.943462i \(-0.392452\pi\)
−0.432736 + 0.901521i \(0.642452\pi\)
\(618\) 1.88055e11 + 4.54006e11i 0.0518606 + 0.125203i
\(619\) −3.96456e12 + 1.64217e12i −1.08539 + 0.449584i −0.852398 0.522894i \(-0.824852\pi\)
−0.232994 + 0.972478i \(0.574852\pi\)
\(620\) 4.38310e11 + 4.38310e11i 0.119129 + 0.119129i
\(621\) −1.54712e11 1.54712e11i −0.0417458 0.0417458i
\(622\) 4.04422e12 1.67517e12i 1.08337 0.448748i
\(623\) −2.17203e11 5.24374e11i −0.0577656 0.139459i
\(624\) −8.63928e12 3.57851e12i −2.28111 0.944868i
\(625\) 7.77509e12i 2.03819i
\(626\) −1.99205e12 + 4.80924e12i −0.518461 + 1.25168i
\(627\) −3.44496e11 + 3.44496e11i −0.0890185 + 0.0890185i
\(628\) 7.44330e11 0.190962
\(629\) −4.00409e12 8.18333e11i −1.01994 0.208450i
\(630\) 2.16534e12 0.547638
\(631\) 1.48801e12 1.48801e12i 0.373657 0.373657i −0.495150 0.868807i \(-0.664887\pi\)
0.868807 + 0.495150i \(0.164887\pi\)
\(632\) 5.63538e11 1.36050e12i 0.140506 0.339212i
\(633\) 5.89735e12i 1.45996i
\(634\) 5.30751e12 + 2.19844e12i 1.30464 + 0.540398i
\(635\) −5.25771e12 1.26932e13i −1.28326 3.09806i
\(636\) 1.79183e11 7.42200e10i 0.0434250 0.0179872i
\(637\) 4.26981e12 + 4.26981e12i 1.02750 + 1.02750i
\(638\) 1.30881e12 + 1.30881e12i 0.312741 + 0.312741i
\(639\) 2.23070e12 9.23988e11i 0.529283 0.219236i
\(640\) −3.38851e12 8.18058e12i −0.798359 1.92741i
\(641\) −4.34585e12 1.80011e12i −1.01675 0.421151i −0.188836 0.982009i \(-0.560472\pi\)
−0.827912 + 0.560857i \(0.810472\pi\)
\(642\) 2.31692e12i 0.538275i
\(643\) −1.14021e12 + 2.75270e12i −0.263047 + 0.635053i −0.999124 0.0418455i \(-0.986676\pi\)
0.736077 + 0.676898i \(0.236676\pi\)
\(644\) −6.20918e10 + 6.20918e10i −0.0142249 + 0.0142249i
\(645\) −1.75132e13 −3.98424
\(646\) 1.11667e12 2.16034e11i 0.252278 0.0488062i
\(647\) −6.15794e11 −0.138155 −0.0690774 0.997611i \(-0.522006\pi\)
−0.0690774 + 0.997611i \(0.522006\pi\)
\(648\) 3.16647e12 3.16647e12i 0.705484 0.705484i
\(649\) 6.48457e11 1.56551e12i 0.143476 0.346382i
\(650\) 1.79441e13i 3.94285i
\(651\) −1.33474e12 5.52868e11i −0.291261 0.120644i
\(652\) −1.73913e11 4.19864e11i −0.0376894 0.0909902i
\(653\) 5.75127e12 2.38225e12i 1.23781 0.512718i 0.334781 0.942296i \(-0.391338\pi\)
0.903030 + 0.429578i \(0.141338\pi\)
\(654\) −2.09954e12 2.09954e12i −0.448770 0.448770i
\(655\) 4.97537e12 + 4.97537e12i 1.05618 + 1.05618i
\(656\) −2.64365e12 + 1.09504e12i −0.557361 + 0.230867i
\(657\) −3.02572e11 7.30474e11i −0.0633556 0.152954i
\(658\) 2.21395e12 + 9.17050e11i 0.460418 + 0.190711i
\(659\) 5.49448e12i 1.13486i 0.823421 + 0.567430i \(0.192062\pi\)
−0.823421 + 0.567430i \(0.807938\pi\)
\(660\) −2.21731e11 + 5.35306e11i −0.0454861 + 0.109813i
\(661\) −1.62626e11 + 1.62626e11i −0.0331347 + 0.0331347i −0.723480 0.690345i \(-0.757459\pi\)
0.690345 + 0.723480i \(0.257459\pi\)
\(662\) −6.46976e12 −1.30926
\(663\) −2.21626e12 + 1.08441e13i −0.445462 + 2.17964i
\(664\) −4.41454e12 −0.881310
\(665\) 4.85759e11 4.85759e11i 0.0963216 0.0963216i
\(666\) −1.96948e12 + 4.75475e12i −0.387898 + 0.936469i
\(667\) 2.94223e12i 0.575586i
\(668\) 5.65416e11 + 2.34203e11i 0.109869 + 0.0455091i
\(669\) 2.03560e12 + 4.91438e12i 0.392894 + 0.948530i
\(670\) 3.02088e12 1.25129e12i 0.579158 0.239895i
\(671\) 2.63285e12 + 2.63285e12i 0.501389 + 0.501389i
\(672\) −3.99587e11 3.99587e11i −0.0755875 0.0755875i
\(673\) −8.96255e11 + 3.71241e11i −0.168408 + 0.0697571i −0.465295 0.885156i \(-0.654052\pi\)
0.296886 + 0.954913i \(0.404052\pi\)
\(674\) −1.73509e12 4.18888e12i −0.323856 0.781858i
\(675\) 1.31312e12 + 5.43910e11i 0.243465 + 0.100846i
\(676\) 1.07821e12i 0.198584i
\(677\) 1.92855e12 4.65594e12i 0.352844 0.851841i −0.643423 0.765511i \(-0.722486\pi\)
0.996267 0.0863297i \(-0.0275138\pi\)
\(678\) −3.14530e12 + 3.14530e12i −0.571648 + 0.571648i
\(679\) 5.55298e11 0.100256
\(680\) −7.85559e12 + 5.18950e12i −1.40893 + 0.930756i
\(681\) 6.64201e12 1.18342
\(682\) 1.17214e12 1.17214e12i 0.207467 0.207467i
\(683\) −1.91926e12 + 4.63351e12i −0.337475 + 0.814736i 0.660482 + 0.750842i \(0.270352\pi\)
−0.997957 + 0.0638943i \(0.979648\pi\)
\(684\) 1.59848e11i 0.0279225i
\(685\) 7.19272e12 + 2.97932e12i 1.24820 + 0.517023i
\(686\) 1.38588e12 + 3.34581e12i 0.238928 + 0.576823i
\(687\) 6.14590e11 2.54571e11i 0.105264 0.0436018i
\(688\) 7.28975e12 + 7.28975e12i 1.24041 + 1.24041i
\(689\) 1.81553e12 + 1.81553e12i 0.306914 + 0.306914i
\(690\) 7.62442e12 3.15814e12i 1.28052 0.530408i
\(691\) 1.08155e12 + 2.61109e12i 0.180466 + 0.435683i 0.988063 0.154052i \(-0.0492323\pi\)
−0.807597 + 0.589735i \(0.799232\pi\)
\(692\) −8.01464e11 3.31977e11i −0.132864 0.0550340i
\(693\) 6.46252e11i 0.106439i
\(694\) 1.55830e12 3.76207e12i 0.254996 0.615615i
\(695\) 6.38649e12 6.38649e12i 1.03832 1.03832i
\(696\) 8.83275e12 1.42677
\(697\) 1.86688e12 + 2.82598e12i 0.299618 + 0.453546i
\(698\) 7.32369e12 1.16783
\(699\) −4.76448e12 + 4.76448e12i −0.754863 + 0.754863i
\(700\) 2.18291e11 5.27002e11i 0.0343633 0.0829605i
\(701\) 2.11841e12i 0.331343i −0.986181 0.165672i \(-0.947021\pi\)
0.986181 0.165672i \(-0.0529792\pi\)
\(702\) −1.15421e12 4.78091e11i −0.179378 0.0743008i
\(703\) 6.24830e11 + 1.50847e12i 0.0964857 + 0.232937i
\(704\) −1.90934e12 + 7.90873e11i −0.292958 + 0.121347i
\(705\) −1.77730e13 1.77730e13i −2.70962 2.70962i
\(706\) −2.52534e11 2.52534e11i −0.0382560 0.0382560i
\(707\) −4.00495e11 + 1.65890e11i −0.0602850 + 0.0249709i
\(708\) 4.44590e11 + 1.07333e12i 0.0664982 + 0.160541i
\(709\) −9.99610e12 4.14052e12i −1.48567 0.615385i −0.515301 0.857009i \(-0.672320\pi\)
−0.970370 + 0.241624i \(0.922320\pi\)
\(710\) 8.16291e12i 1.20554i
\(711\) −9.47184e11 + 2.28670e12i −0.139002 + 0.335580i
\(712\) 2.19748e12 2.19748e12i 0.320454 0.320454i
\(713\) −2.63498e12 −0.381834
\(714\) −1.76526e12 + 2.61211e12i −0.254195 + 0.376141i
\(715\) −7.67050e12 −1.09761
\(716\) 1.05586e12 1.05586e12i 0.150141 0.150141i
\(717\) 5.08615e12 1.22791e13i 0.718709 1.73512i
\(718\) 1.95387e12i 0.274369i
\(719\) −2.38348e12 9.87270e11i −0.332607 0.137770i 0.210129 0.977674i \(-0.432612\pi\)
−0.542736 + 0.839903i \(0.682612\pi\)
\(720\) 5.11623e12 + 1.23517e13i 0.709502 + 1.71289i
\(721\) −1.91062e11 + 7.91405e10i −0.0263309 + 0.0109066i
\(722\) 5.15640e12 + 5.15640e12i 0.706203 + 0.706203i
\(723\) 3.95086e12 + 3.95086e12i 0.537736 + 0.537736i
\(724\) −6.21592e11 + 2.57472e11i −0.0840778 + 0.0348262i
\(725\) 7.31415e12 + 1.76579e13i 0.983203 + 2.37366i
\(726\) −8.72913e12 3.61573e12i −1.16616 0.483037i
\(727\) 4.66836e11i 0.0619811i −0.999520 0.0309905i \(-0.990134\pi\)
0.999520 0.0309905i \(-0.00986618\pi\)
\(728\) 1.33550e12 3.22419e12i 0.176219 0.425431i
\(729\) −4.47152e12 + 4.47152e12i −0.586383 + 0.586383i
\(730\) −2.67306e12 −0.348381
\(731\) 6.83246e12 1.01102e13i 0.885012 1.30958i
\(732\) −2.55282e12 −0.328639
\(733\) 6.13826e12 6.13826e12i 0.785375 0.785375i −0.195357 0.980732i \(-0.562586\pi\)
0.980732 + 0.195357i \(0.0625865\pi\)
\(734\) −2.53835e12 + 6.12811e12i −0.322789 + 0.779281i
\(735\) 1.80402e13i 2.28007i
\(736\) −9.52221e11 3.94423e11i −0.119616 0.0495464i
\(737\) −3.73451e11 9.01591e11i −0.0466262 0.112566i
\(738\) 3.94045e12 1.63219e12i 0.488981 0.202543i
\(739\) 9.65323e12 + 9.65323e12i 1.19062 + 1.19062i 0.976894 + 0.213724i \(0.0685594\pi\)
0.213724 + 0.976894i \(0.431441\pi\)
\(740\) 1.37308e12 + 1.37308e12i 0.168326 + 0.168326i
\(741\) 4.08535e12 1.69221e12i 0.497791 0.206192i
\(742\) 2.79869e11 + 6.75662e11i 0.0338951 + 0.0818299i
\(743\) −5.00346e12 2.07250e12i −0.602311 0.249485i 0.0606260 0.998161i \(-0.480690\pi\)
−0.662937 + 0.748675i \(0.730690\pi\)
\(744\) 7.91036e12i 0.946495i
\(745\) −3.77853e12 + 9.12217e12i −0.449386 + 1.08491i
\(746\) −1.14678e12 + 1.14678e12i −0.135568 + 0.135568i
\(747\) 7.41987e12 0.871874
\(748\) −2.22524e11 3.36844e11i −0.0259908 0.0393434i
\(749\) 9.75045e11 0.113203
\(750\) −2.15209e13 + 2.15209e13i −2.48362 + 2.48362i
\(751\) −1.90012e12 + 4.58730e12i −0.217973 + 0.526233i −0.994607 0.103720i \(-0.966926\pi\)
0.776634 + 0.629952i \(0.216926\pi\)
\(752\) 1.47958e13i 1.68717i
\(753\) 9.11984e12 + 3.77756e12i 1.03374 + 0.428188i
\(754\) −6.42905e12 1.55211e13i −0.724396 1.74885i
\(755\) −1.94710e13 + 8.06515e12i −2.18086 + 0.903340i
\(756\) −2.80822e10 2.80822e10i −0.00312668 0.00312668i
\(757\) −9.76640e12 9.76640e12i −1.08094 1.08094i −0.996422 0.0845220i \(-0.973064\pi\)
−0.0845220 0.996422i \(-0.526936\pi\)
\(758\) −5.06869e11 + 2.09952e11i −0.0557679 + 0.0230998i
\(759\) −9.42556e11 2.27553e12i −0.103091 0.248883i
\(760\) 3.47509e12 + 1.43943e12i 0.377837 + 0.156505i
\(761\) 1.56510e13i 1.69166i 0.533455 + 0.845828i \(0.320893\pi\)
−0.533455 + 0.845828i \(0.679107\pi\)