Properties

Label 17.10.d.a.2.10
Level $17$
Weight $10$
Character 17.2
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 2.10
Character \(\chi\) \(=\) 17.2
Dual form 17.10.d.a.9.10

$q$-expansion

\(f(q)\) \(=\) \(q+(17.3427 + 17.3427i) q^{2} +(-21.9931 + 9.10984i) q^{3} +89.5378i q^{4} +(-1000.76 - 2416.05i) q^{5} +(-539.408 - 223.430i) q^{6} +(1420.57 - 3429.57i) q^{7} +(7326.63 - 7326.63i) q^{8} +(-13517.3 + 13517.3i) q^{9} +O(q^{10})\) \(q+(17.3427 + 17.3427i) q^{2} +(-21.9931 + 9.10984i) q^{3} +89.5378i q^{4} +(-1000.76 - 2416.05i) q^{5} +(-539.408 - 223.430i) q^{6} +(1420.57 - 3429.57i) q^{7} +(7326.63 - 7326.63i) q^{8} +(-13517.3 + 13517.3i) q^{9} +(24544.9 - 59256.7i) q^{10} +(3806.68 + 1576.78i) q^{11} +(-815.675 - 1969.21i) q^{12} +18236.6i q^{13} +(84114.4 - 34841.3i) q^{14} +(44019.6 + 44019.6i) q^{15} +299970. q^{16} +(101311. - 329126. i) q^{17} -468852. q^{18} +(-666466. - 666466. i) q^{19} +(216328. - 89606.0i) q^{20} +88367.9i q^{21} +(38672.5 + 93363.7i) q^{22} +(1.81374e6 + 751274. i) q^{23} +(-94390.8 + 227880. i) q^{24} +(-3.45471e6 + 3.45471e6i) q^{25} +(-316272. + 316272. i) q^{26} +(353455. - 853317. i) q^{27} +(307076. + 127195. i) q^{28} +(909640. + 2.19607e6i) q^{29} +1.52684e6i q^{30} +(-2.39565e6 + 992311. i) q^{31} +(1.45106e6 + 1.45106e6i) q^{32} -98084.9 q^{33} +(7.46494e6 - 3.95092e6i) q^{34} -9.70766e6 q^{35} +(-1.21031e6 - 1.21031e6i) q^{36} +(1.58254e7 - 6.55511e6i) q^{37} -2.31166e7i q^{38} +(-166132. - 401079. i) q^{39} +(-2.50337e7 - 1.03693e7i) q^{40} +(-2.88871e6 + 6.97395e6i) q^{41} +(-1.53254e6 + 1.53254e6i) q^{42} +(1.65431e7 - 1.65431e7i) q^{43} +(-141181. + 340842. i) q^{44} +(4.61860e7 + 1.91309e7i) q^{45} +(1.84259e7 + 4.44842e7i) q^{46} -2.85310e7i q^{47} +(-6.59727e6 + 2.73268e6i) q^{48} +(1.87904e7 + 1.87904e7i) q^{49} -1.19828e8 q^{50} +(770133. + 8.16143e6i) q^{51} -1.63287e6 q^{52} +(2.56020e7 + 2.56020e7i) q^{53} +(2.09287e7 - 8.66894e6i) q^{54} -1.07751e7i q^{55} +(-1.47191e7 - 3.55352e7i) q^{56} +(2.07290e7 + 8.58624e6i) q^{57} +(-2.23101e7 + 5.38613e7i) q^{58} +(-8.71591e7 + 8.71591e7i) q^{59} +(-3.94142e6 + 3.94142e6i) q^{60} +(1.86022e7 - 4.49097e7i) q^{61} +(-5.87564e7 - 2.43377e7i) q^{62} +(2.71561e7 + 6.55606e7i) q^{63} -1.03254e8i q^{64} +(4.40605e7 - 1.82505e7i) q^{65} +(-1.70106e6 - 1.70106e6i) q^{66} +1.82246e8 q^{67} +(2.94692e7 + 9.07120e6i) q^{68} -4.67336e7 q^{69} +(-1.68357e8 - 1.68357e8i) q^{70} +(-1.86732e7 + 7.73470e6i) q^{71} +1.98072e8i q^{72} +(-2.92217e6 - 7.05474e6i) q^{73} +(3.88139e8 + 1.60772e8i) q^{74} +(4.45079e7 - 1.07452e8i) q^{75} +(5.96739e7 - 5.96739e7i) q^{76} +(1.08153e7 - 1.08153e7i) q^{77} +(4.07461e6 - 9.83697e6i) q^{78} +(1.52507e8 + 6.31706e7i) q^{79} +(-3.00199e8 - 7.24743e8i) q^{80} -3.54279e8i q^{81} +(-1.71045e8 + 7.08492e7i) q^{82} +(-1.89138e7 - 1.89138e7i) q^{83} -7.91227e6 q^{84} +(-8.96573e8 + 8.46029e7i) q^{85} +5.73804e8 q^{86} +(-4.00116e7 - 4.00116e7i) q^{87} +(3.94426e7 - 1.63377e7i) q^{88} -2.38906e6i q^{89} +(4.69209e8 + 1.13277e9i) q^{90} +(6.25436e7 + 2.59064e7i) q^{91} +(-6.72674e7 + 1.62398e8i) q^{92} +(4.36480e7 - 4.36480e7i) q^{93} +(4.94805e8 - 4.94805e8i) q^{94} +(-9.43242e8 + 2.27719e9i) q^{95} +(-4.51322e7 - 1.86944e7i) q^{96} +(-3.66256e8 - 8.84220e8i) q^{97} +6.51753e8i q^{98} +(-7.27697e7 + 3.01422e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9} - 117636 q^{10} - 115768 q^{11} - 145528 q^{12} + 463660 q^{14} + 288244 q^{15} - 3407880 q^{16} - 271932 q^{17} + 2193336 q^{18} - 406700 q^{19} + 493564 q^{20} + 800964 q^{22} - 4172180 q^{23} + 15078440 q^{24} + 11946576 q^{25} - 14209012 q^{26} - 7973656 q^{27} + 13540804 q^{28} + 7833752 q^{29} + 5936252 q^{31} - 26730116 q^{32} - 1635208 q^{33} - 53493988 q^{34} + 46992776 q^{35} - 12761764 q^{36} + 74606796 q^{37} + 74096776 q^{39} - 69317672 q^{40} - 71362288 q^{41} - 308117664 q^{42} - 3765712 q^{43} + 163659820 q^{44} + 14167408 q^{45} + 72135428 q^{46} + 164621412 q^{48} - 284548508 q^{49} + 226223888 q^{50} - 406733132 q^{51} + 103553016 q^{52} - 244724728 q^{53} + 971226260 q^{54} + 470691652 q^{56} - 440646580 q^{57} - 308561768 q^{58} - 481734984 q^{59} + 379626176 q^{60} + 507966228 q^{61} + 358867236 q^{62} + 1070586456 q^{63} + 366263684 q^{65} - 2244715148 q^{66} - 311910088 q^{67} - 1839196668 q^{68} + 533688136 q^{69} + 34867672 q^{70} + 186006812 q^{71} + 487115192 q^{73} - 214149412 q^{74} + 533015920 q^{75} + 1104236912 q^{76} - 237869092 q^{77} - 2081523384 q^{78} - 136338052 q^{79} - 922534152 q^{80} + 1951892384 q^{82} + 1843663888 q^{83} - 2630025952 q^{84} - 395061976 q^{85} + 1538547296 q^{86} - 369395636 q^{87} - 3388839640 q^{88} + 874363684 q^{90} + 2087197720 q^{91} + 1061427500 q^{92} + 576415420 q^{93} + 6899365112 q^{94} + 5031766876 q^{95} + 490811364 q^{96} - 3419996368 q^{97} - 5630536112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 17.3427 + 17.3427i 0.766446 + 0.766446i 0.977479 0.211033i \(-0.0676828\pi\)
−0.211033 + 0.977479i \(0.567683\pi\)
\(3\) −21.9931 + 9.10984i −0.156762 + 0.0649329i −0.459685 0.888082i \(-0.652038\pi\)
0.302923 + 0.953015i \(0.402038\pi\)
\(4\) 89.5378i 0.174879i
\(5\) −1000.76 2416.05i −0.716086 1.72878i −0.684201 0.729293i \(-0.739849\pi\)
−0.0318850 0.999492i \(-0.510151\pi\)
\(6\) −539.408 223.430i −0.169917 0.0703820i
\(7\) 1420.57 3429.57i 0.223626 0.539881i −0.771751 0.635925i \(-0.780619\pi\)
0.995377 + 0.0960438i \(0.0306189\pi\)
\(8\) 7326.63 7326.63i 0.632411 0.632411i
\(9\) −13517.3 + 13517.3i −0.686749 + 0.686749i
\(10\) 24544.9 59256.7i 0.776179 1.87386i
\(11\) 3806.68 + 1576.78i 0.0783934 + 0.0324716i 0.421536 0.906812i \(-0.361491\pi\)
−0.343142 + 0.939283i \(0.611491\pi\)
\(12\) −815.675 1969.21i −0.0113554 0.0274143i
\(13\) 18236.6i 0.177092i 0.996072 + 0.0885459i \(0.0282220\pi\)
−0.996072 + 0.0885459i \(0.971778\pi\)
\(14\) 84114.4 34841.3i 0.585187 0.242392i
\(15\) 44019.6 + 44019.6i 0.224510 + 0.224510i
\(16\) 299970. 1.14430
\(17\) 101311. 329126.i 0.294197 0.955745i
\(18\) −468852. −1.05271
\(19\) −666466. 666466.i −1.17324 1.17324i −0.981433 0.191806i \(-0.938565\pi\)
−0.191806 0.981433i \(-0.561435\pi\)
\(20\) 216328. 89606.0i 0.302327 0.125228i
\(21\) 88367.9i 0.0991534i
\(22\) 38672.5 + 93363.7i 0.0351966 + 0.0849720i
\(23\) 1.81374e6 + 751274.i 1.35145 + 0.559787i 0.936695 0.350148i \(-0.113869\pi\)
0.414751 + 0.909935i \(0.363869\pi\)
\(24\) −94390.8 + 227880.i −0.0580737 + 0.140202i
\(25\) −3.45471e6 + 3.45471e6i −1.76881 + 1.76881i
\(26\) −316272. + 316272.i −0.135731 + 0.135731i
\(27\) 353455. 853317.i 0.127996 0.309011i
\(28\) 307076. + 127195.i 0.0944136 + 0.0391074i
\(29\) 909640. + 2.19607e6i 0.238824 + 0.576573i 0.997162 0.0752893i \(-0.0239880\pi\)
−0.758337 + 0.651862i \(0.773988\pi\)
\(30\) 1.52684e6i 0.344150i
\(31\) −2.39565e6 + 992311.i −0.465903 + 0.192983i −0.603270 0.797537i \(-0.706136\pi\)
0.137367 + 0.990520i \(0.456136\pi\)
\(32\) 1.45106e6 + 1.45106e6i 0.244630 + 0.244630i
\(33\) −98084.9 −0.0143976
\(34\) 7.46494e6 3.95092e6i 0.958013 0.507041i
\(35\) −9.70766e6 −1.09347
\(36\) −1.21031e6 1.21031e6i −0.120098 0.120098i
\(37\) 1.58254e7 6.55511e6i 1.38819 0.575005i 0.441529 0.897247i \(-0.354436\pi\)
0.946657 + 0.322242i \(0.104436\pi\)
\(38\) 2.31166e7i 1.79845i
\(39\) −166132. 401079.i −0.0114991 0.0277613i
\(40\) −2.50337e7 1.03693e7i −1.54616 0.640442i
\(41\) −2.88871e6 + 6.97395e6i −0.159653 + 0.385435i −0.983382 0.181547i \(-0.941889\pi\)
0.823730 + 0.566983i \(0.191889\pi\)
\(42\) −1.53254e6 + 1.53254e6i −0.0759957 + 0.0759957i
\(43\) 1.65431e7 1.65431e7i 0.737920 0.737920i −0.234255 0.972175i \(-0.575265\pi\)
0.972175 + 0.234255i \(0.0752651\pi\)
\(44\) −141181. + 340842.i −0.00567859 + 0.0137093i
\(45\) 4.61860e7 + 1.91309e7i 1.67901 + 0.695470i
\(46\) 1.84259e7 + 4.44842e7i 0.606764 + 1.46486i
\(47\) 2.85310e7i 0.852859i −0.904521 0.426430i \(-0.859771\pi\)
0.904521 0.426430i \(-0.140229\pi\)
\(48\) −6.59727e6 + 2.73268e6i −0.179382 + 0.0743025i
\(49\) 1.87904e7 + 1.87904e7i 0.465644 + 0.465644i
\(50\) −1.19828e8 −2.71140
\(51\) 770133. + 8.16143e6i 0.0159404 + 0.168927i
\(52\) −1.63287e6 −0.0309696
\(53\) 2.56020e7 + 2.56020e7i 0.445689 + 0.445689i 0.893919 0.448229i \(-0.147945\pi\)
−0.448229 + 0.893919i \(0.647945\pi\)
\(54\) 2.09287e7 8.66894e6i 0.334942 0.138738i
\(55\) 1.07751e7i 0.158778i
\(56\) −1.47191e7 3.55352e7i −0.200003 0.482850i
\(57\) 2.07290e7 + 8.58624e6i 0.260101 + 0.107737i
\(58\) −2.23101e7 + 5.38613e7i −0.258866 + 0.624958i
\(59\) −8.71591e7 + 8.71591e7i −0.936437 + 0.936437i −0.998097 0.0616599i \(-0.980361\pi\)
0.0616599 + 0.998097i \(0.480361\pi\)
\(60\) −3.94142e6 + 3.94142e6i −0.0392620 + 0.0392620i
\(61\) 1.86022e7 4.49097e7i 0.172021 0.415295i −0.814232 0.580540i \(-0.802842\pi\)
0.986253 + 0.165245i \(0.0528416\pi\)
\(62\) −5.87564e7 2.43377e7i −0.505001 0.209178i
\(63\) 2.71561e7 + 6.55606e7i 0.217188 + 0.524337i
\(64\) 1.03254e8i 0.769305i
\(65\) 4.40605e7 1.82505e7i 0.306154 0.126813i
\(66\) −1.70106e6 1.70106e6i −0.0110350 0.0110350i
\(67\) 1.82246e8 1.10490 0.552448 0.833547i \(-0.313694\pi\)
0.552448 + 0.833547i \(0.313694\pi\)
\(68\) 2.94692e7 + 9.07120e6i 0.167139 + 0.0514488i
\(69\) −4.67336e7 −0.248204
\(70\) −1.68357e8 1.68357e8i −0.838088 0.838088i
\(71\) −1.86732e7 + 7.73470e6i −0.0872081 + 0.0361228i −0.425861 0.904789i \(-0.640029\pi\)
0.338653 + 0.940911i \(0.390029\pi\)
\(72\) 1.98072e8i 0.868615i
\(73\) −2.92217e6 7.05474e6i −0.0120435 0.0290756i 0.917743 0.397174i \(-0.130009\pi\)
−0.929787 + 0.368098i \(0.880009\pi\)
\(74\) 3.88139e8 + 1.60772e8i 1.50468 + 0.623259i
\(75\) 4.45079e7 1.07452e8i 0.162428 0.392136i
\(76\) 5.96739e7 5.96739e7i 0.205174 0.205174i
\(77\) 1.08153e7 1.08153e7i 0.0350616 0.0350616i
\(78\) 4.07461e6 9.83697e6i 0.0124641 0.0300909i
\(79\) 1.52507e8 + 6.31706e7i 0.440523 + 0.182471i 0.591910 0.806004i \(-0.298374\pi\)
−0.151387 + 0.988475i \(0.548374\pi\)
\(80\) −3.00199e8 7.24743e8i −0.819415 1.97824i
\(81\) 3.54279e8i 0.914457i
\(82\) −1.71045e8 + 7.08492e7i −0.417780 + 0.173050i
\(83\) −1.89138e7 1.89138e7i −0.0437449 0.0437449i 0.684896 0.728641i \(-0.259848\pi\)
−0.728641 + 0.684896i \(0.759848\pi\)
\(84\) −7.91227e6 −0.0173398
\(85\) −8.96573e8 + 8.46029e7i −1.86295 + 0.175792i
\(86\) 5.73804e8 1.13115
\(87\) −4.00116e7 4.00116e7i −0.0748771 0.0748771i
\(88\) 3.94426e7 1.63377e7i 0.0701122 0.0290414i
\(89\) 2.38906e6i 0.00403620i −0.999998 0.00201810i \(-0.999358\pi\)
0.999998 0.00201810i \(-0.000642382\pi\)
\(90\) 4.69209e8 + 1.13277e9i 0.753832 + 1.81991i
\(91\) 6.25436e7 + 2.59064e7i 0.0956085 + 0.0396023i
\(92\) −6.72674e7 + 1.62398e8i −0.0978948 + 0.236339i
\(93\) 4.36480e7 4.36480e7i 0.0605049 0.0605049i
\(94\) 4.94805e8 4.94805e8i 0.653670 0.653670i
\(95\) −9.43242e8 + 2.27719e9i −1.18814 + 2.86842i
\(96\) −4.51322e7 1.86944e7i −0.0542332 0.0224641i
\(97\) −3.66256e8 8.84220e8i −0.420060 1.01412i −0.982329 0.187161i \(-0.940071\pi\)
0.562269 0.826954i \(-0.309929\pi\)
\(98\) 6.51753e8i 0.713782i
\(99\) −7.27697e7 + 3.01422e7i −0.0761364 + 0.0315367i
\(100\) −3.09327e8 3.09327e8i −0.309327 0.309327i
\(101\) −3.65294e8 −0.349298 −0.174649 0.984631i \(-0.555879\pi\)
−0.174649 + 0.984631i \(0.555879\pi\)
\(102\) −1.28185e8 + 1.54897e8i −0.117256 + 0.141691i
\(103\) 1.05127e9 0.920337 0.460168 0.887832i \(-0.347789\pi\)
0.460168 + 0.887832i \(0.347789\pi\)
\(104\) 1.33613e8 + 1.33613e8i 0.111995 + 0.111995i
\(105\) 2.13501e8 8.84351e7i 0.171415 0.0710024i
\(106\) 8.88015e8i 0.683194i
\(107\) −5.22040e8 1.26031e9i −0.385014 0.929506i −0.990979 0.134015i \(-0.957213\pi\)
0.605965 0.795491i \(-0.292787\pi\)
\(108\) 7.64042e7 + 3.16476e7i 0.0540393 + 0.0223838i
\(109\) 3.87680e8 9.35942e8i 0.263059 0.635082i −0.736065 0.676910i \(-0.763318\pi\)
0.999125 + 0.0418288i \(0.0133184\pi\)
\(110\) 1.86869e8 1.86869e8i 0.121695 0.121695i
\(111\) −2.88334e8 + 2.88334e8i −0.180278 + 0.180278i
\(112\) 4.26130e8 1.02877e9i 0.255894 0.617783i
\(113\) 1.97987e9 + 8.20087e8i 1.14231 + 0.473159i 0.871947 0.489600i \(-0.162857\pi\)
0.270360 + 0.962759i \(0.412857\pi\)
\(114\) 2.10589e8 + 5.08406e8i 0.116779 + 0.281928i
\(115\) 5.13392e9i 2.73722i
\(116\) −1.96631e8 + 8.14472e7i −0.100830 + 0.0417653i
\(117\) −2.46509e8 2.46509e8i −0.121618 0.121618i
\(118\) −3.02315e9 −1.43546
\(119\) −9.84839e8 8.15001e8i −0.450198 0.372561i
\(120\) 6.45031e8 0.283965
\(121\) −1.65532e9 1.65532e9i −0.702016 0.702016i
\(122\) 1.10147e9 4.56243e8i 0.450145 0.186456i
\(123\) 1.79694e8i 0.0707883i
\(124\) −8.88494e7 2.14501e8i −0.0337487 0.0814765i
\(125\) 7.08524e9 + 2.93480e9i 2.59573 + 1.07519i
\(126\) −6.66038e8 + 1.60796e9i −0.235414 + 0.568339i
\(127\) −3.60128e9 + 3.60128e9i −1.22840 + 1.22840i −0.263831 + 0.964569i \(0.584986\pi\)
−0.964569 + 0.263831i \(0.915014\pi\)
\(128\) 2.53365e9 2.53365e9i 0.834260 0.834260i
\(129\) −2.13129e8 + 5.14539e8i −0.0677625 + 0.163593i
\(130\) 1.08064e9 + 4.47616e8i 0.331846 + 0.137455i
\(131\) 1.81761e9 + 4.38811e9i 0.539238 + 1.30184i 0.925255 + 0.379345i \(0.123850\pi\)
−0.386017 + 0.922492i \(0.626150\pi\)
\(132\) 8.78231e6i 0.00251783i
\(133\) −3.23245e9 + 1.33892e9i −0.895776 + 0.371043i
\(134\) 3.16064e9 + 3.16064e9i 0.846844 + 0.846844i
\(135\) −2.41538e9 −0.625869
\(136\) −1.66911e9 3.15366e9i −0.418370 0.790477i
\(137\) −6.12850e9 −1.48632 −0.743158 0.669116i \(-0.766673\pi\)
−0.743158 + 0.669116i \(0.766673\pi\)
\(138\) −8.10487e8 8.10487e8i −0.190235 0.190235i
\(139\) 1.84919e9 7.65960e8i 0.420160 0.174036i −0.162578 0.986696i \(-0.551981\pi\)
0.582739 + 0.812660i \(0.301981\pi\)
\(140\) 8.69203e8i 0.191225i
\(141\) 2.59913e8 + 6.27486e8i 0.0553786 + 0.133696i
\(142\) −4.57985e8 1.89703e8i −0.0945264 0.0391541i
\(143\) −2.87551e7 + 6.94209e7i −0.00575046 + 0.0138828i
\(144\) −4.05478e9 + 4.05478e9i −0.785844 + 0.785844i
\(145\) 4.39547e9 4.39547e9i 0.825752 0.825752i
\(146\) 7.16699e7 1.73026e8i 0.0130542 0.0315155i
\(147\) −5.84437e8 2.42082e8i −0.103231 0.0427596i
\(148\) 5.86930e8 + 1.41697e9i 0.100556 + 0.242764i
\(149\) 1.65989e9i 0.275894i 0.990440 + 0.137947i \(0.0440504\pi\)
−0.990440 + 0.137947i \(0.955950\pi\)
\(150\) 2.63539e9 1.09161e9i 0.425044 0.176059i
\(151\) −2.36043e9 2.36043e9i −0.369484 0.369484i 0.497805 0.867289i \(-0.334139\pi\)
−0.867289 + 0.497805i \(0.834139\pi\)
\(152\) −9.76589e9 −1.48394
\(153\) 3.07943e9 + 5.81834e9i 0.454317 + 0.858396i
\(154\) 3.75134e8 0.0537456
\(155\) 4.79495e9 + 4.79495e9i 0.667254 + 0.667254i
\(156\) 3.59118e7 1.48751e7i 0.00485485 0.00201095i
\(157\) 1.04520e10i 1.37294i −0.727160 0.686468i \(-0.759160\pi\)
0.727160 0.686468i \(-0.240840\pi\)
\(158\) 1.54934e9 + 3.74043e9i 0.197783 + 0.477491i
\(159\) −7.96297e8 3.29837e8i −0.0988070 0.0409272i
\(160\) 2.05367e9 4.95799e9i 0.247737 0.598089i
\(161\) 5.15309e9 5.15309e9i 0.604437 0.604437i
\(162\) 6.14416e9 6.14416e9i 0.700882 0.700882i
\(163\) −2.18677e9 + 5.27933e9i −0.242638 + 0.585780i −0.997543 0.0700540i \(-0.977683\pi\)
0.754905 + 0.655834i \(0.227683\pi\)
\(164\) −6.24433e8 2.58648e8i −0.0674044 0.0279198i
\(165\) 9.81595e7 + 2.36978e8i 0.0103099 + 0.0248903i
\(166\) 6.56033e8i 0.0670562i
\(167\) −1.27501e10 + 5.28125e9i −1.26849 + 0.525428i −0.912506 0.409063i \(-0.865856\pi\)
−0.355988 + 0.934490i \(0.615856\pi\)
\(168\) 6.47439e8 + 6.47439e8i 0.0627057 + 0.0627057i
\(169\) 1.02719e10 0.968638
\(170\) −1.70162e10 1.40818e10i −1.56258 1.29311i
\(171\) 1.80176e10 1.61144
\(172\) 1.48124e9 + 1.48124e9i 0.129046 + 0.129046i
\(173\) 4.41253e9 1.82773e9i 0.374524 0.155133i −0.187478 0.982269i \(-0.560031\pi\)
0.562002 + 0.827136i \(0.310031\pi\)
\(174\) 1.38782e9i 0.114779i
\(175\) 6.94049e9 + 1.67558e10i 0.559395 + 1.35050i
\(176\) 1.14189e9 + 4.72987e8i 0.0897053 + 0.0371571i
\(177\) 1.12289e9 2.71090e9i 0.0859921 0.207603i
\(178\) 4.14328e7 4.14328e7i 0.00309353 0.00309353i
\(179\) 2.42347e9 2.42347e9i 0.176441 0.176441i −0.613361 0.789802i \(-0.710183\pi\)
0.789802 + 0.613361i \(0.210183\pi\)
\(180\) −1.71294e9 + 4.13539e9i −0.121623 + 0.293623i
\(181\) −1.07143e10 4.43802e9i −0.742013 0.307352i −0.0205351 0.999789i \(-0.506537\pi\)
−0.721478 + 0.692437i \(0.756537\pi\)
\(182\) 6.35387e8 + 1.53396e9i 0.0429257 + 0.103632i
\(183\) 1.15717e9i 0.0762722i
\(184\) 1.87929e10 7.78426e9i 1.20868 0.500654i
\(185\) −3.16749e10 3.16749e10i −1.98812 1.98812i
\(186\) 1.51395e9 0.0927475
\(187\) 9.04619e8 1.09313e9i 0.0540977 0.0653710i
\(188\) 2.55461e9 0.149147
\(189\) −2.42440e9 2.42440e9i −0.138206 0.138206i
\(190\) −5.58509e10 + 2.31342e10i −3.10913 + 1.28784i
\(191\) 2.28039e10i 1.23982i 0.784672 + 0.619911i \(0.212831\pi\)
−0.784672 + 0.619911i \(0.787169\pi\)
\(192\) 9.40630e8 + 2.27088e9i 0.0499532 + 0.120598i
\(193\) 2.64062e10 + 1.09378e10i 1.36993 + 0.567444i 0.941770 0.336259i \(-0.109162\pi\)
0.428161 + 0.903703i \(0.359162\pi\)
\(194\) 8.98289e9 2.16866e10i 0.455311 1.09922i
\(195\) −8.02768e8 + 8.02768e8i −0.0397589 + 0.0397589i
\(196\) −1.68245e9 + 1.68245e9i −0.0814312 + 0.0814312i
\(197\) 6.67495e9 1.61148e10i 0.315755 0.762300i −0.683715 0.729749i \(-0.739637\pi\)
0.999470 0.0325508i \(-0.0103631\pi\)
\(198\) −1.78477e9 7.39276e8i −0.0825256 0.0341832i
\(199\) 1.18047e10 + 2.84990e10i 0.533599 + 1.28822i 0.929125 + 0.369766i \(0.120562\pi\)
−0.395526 + 0.918455i \(0.629438\pi\)
\(200\) 5.06228e10i 2.23723i
\(201\) −4.00816e9 + 1.66023e9i −0.173206 + 0.0717442i
\(202\) −6.33518e9 6.33518e9i −0.267718 0.267718i
\(203\) 8.82376e9 0.364688
\(204\) −7.30757e8 + 6.89560e7i −0.0295418 + 0.00278764i
\(205\) 1.97403e10 0.780660
\(206\) 1.82318e10 + 1.82318e10i 0.705388 + 0.705388i
\(207\) −3.46719e10 + 1.43616e10i −1.31254 + 0.543671i
\(208\) 5.47044e9i 0.202646i
\(209\) −1.48615e9 3.58789e9i −0.0538772 0.130071i
\(210\) 5.23639e9 + 2.16898e9i 0.185800 + 0.0769608i
\(211\) 9.51904e9 2.29810e10i 0.330615 0.798175i −0.667929 0.744225i \(-0.732819\pi\)
0.998544 0.0539495i \(-0.0171810\pi\)
\(212\) −2.29235e9 + 2.29235e9i −0.0779415 + 0.0779415i
\(213\) 3.40220e8 3.40220e8i 0.0113254 0.0113254i
\(214\) 1.28037e10 3.09108e10i 0.417324 1.00751i
\(215\) −5.65247e10 2.34133e10i −1.80412 0.747291i
\(216\) −3.66230e9 8.84157e9i −0.114475 0.276368i
\(217\) 9.62569e9i 0.294688i
\(218\) 2.29552e10 9.50834e9i 0.688377 0.285135i
\(219\) 1.28535e8 + 1.28535e8i 0.00377592 + 0.00377592i
\(220\) 9.64781e8 0.0277668
\(221\) 6.00214e9 + 1.84757e9i 0.169255 + 0.0520999i
\(222\) −1.00010e10 −0.276347
\(223\) −8.71154e9 8.71154e9i −0.235897 0.235897i 0.579252 0.815149i \(-0.303345\pi\)
−0.815149 + 0.579252i \(0.803345\pi\)
\(224\) 7.03783e9 2.91517e9i 0.186777 0.0773655i
\(225\) 9.33965e10i 2.42946i
\(226\) 2.01137e10 + 4.85587e10i 0.512866 + 1.23817i
\(227\) −1.31693e10 5.45491e9i −0.329190 0.136355i 0.211966 0.977277i \(-0.432013\pi\)
−0.541156 + 0.840922i \(0.682013\pi\)
\(228\) −7.68794e8 + 1.85603e9i −0.0188410 + 0.0454861i
\(229\) 5.06977e9 5.06977e9i 0.121823 0.121823i −0.643567 0.765390i \(-0.722546\pi\)
0.765390 + 0.643567i \(0.222546\pi\)
\(230\) 8.90360e10 8.90360e10i 2.09793 2.09793i
\(231\) −1.39337e8 + 3.36389e8i −0.00321967 + 0.00777298i
\(232\) 2.27544e10 + 9.42516e9i 0.515666 + 0.213596i
\(233\) 2.24730e10 + 5.42545e10i 0.499527 + 1.20596i 0.949739 + 0.313042i \(0.101348\pi\)
−0.450213 + 0.892921i \(0.648652\pi\)
\(234\) 8.55026e9i 0.186427i
\(235\) −6.89324e10 + 2.85528e10i −1.47441 + 0.610721i
\(236\) −7.80404e9 7.80404e9i −0.163763 0.163763i
\(237\) −3.92958e9 −0.0809056
\(238\) −2.94544e9 3.12141e10i −0.0595050 0.630600i
\(239\) −4.52552e10 −0.897177 −0.448589 0.893738i \(-0.648073\pi\)
−0.448589 + 0.893738i \(0.648073\pi\)
\(240\) 1.32046e10 + 1.32046e10i 0.256906 + 0.256906i
\(241\) −6.30363e10 + 2.61105e10i −1.20369 + 0.498584i −0.892189 0.451662i \(-0.850831\pi\)
−0.311499 + 0.950246i \(0.600831\pi\)
\(242\) 5.74153e10i 1.07611i
\(243\) 1.01845e10 + 2.45875e10i 0.187375 + 0.452363i
\(244\) 4.02112e9 + 1.66560e9i 0.0726261 + 0.0300827i
\(245\) 2.65939e10 6.42033e10i 0.471557 1.13844i
\(246\) 3.11638e9 3.11638e9i 0.0542554 0.0542554i
\(247\) 1.21541e10 1.21541e10i 0.207771 0.207771i
\(248\) −1.02817e10 + 2.48223e10i −0.172597 + 0.416687i
\(249\) 5.88275e8 + 2.43671e8i 0.00969803 + 0.00401705i
\(250\) 7.19798e10 + 1.73775e11i 1.16541 + 2.81356i
\(251\) 8.81426e10i 1.40170i 0.713310 + 0.700849i \(0.247195\pi\)
−0.713310 + 0.700849i \(0.752805\pi\)
\(252\) −5.87016e9 + 2.43150e9i −0.0916954 + 0.0379815i
\(253\) 5.71972e9 + 5.71972e9i 0.0877673 + 0.0877673i
\(254\) −1.24912e11 −1.88300
\(255\) 1.89477e10 1.00283e10i 0.280625 0.148524i
\(256\) 3.50144e10 0.509526
\(257\) 9.17731e10 + 9.17731e10i 1.31225 + 1.31225i 0.919754 + 0.392495i \(0.128388\pi\)
0.392495 + 0.919754i \(0.371612\pi\)
\(258\) −1.26197e10 + 5.22726e9i −0.177322 + 0.0734490i
\(259\) 6.35863e10i 0.878041i
\(260\) 1.63411e9 + 3.94508e9i 0.0221769 + 0.0535397i
\(261\) −4.19807e10 1.73890e10i −0.559973 0.231948i
\(262\) −4.45793e10 + 1.07624e11i −0.584490 + 1.41108i
\(263\) −6.53621e10 + 6.53621e10i −0.842414 + 0.842414i −0.989172 0.146759i \(-0.953116\pi\)
0.146759 + 0.989172i \(0.453116\pi\)
\(264\) −7.18632e8 + 7.18632e8i −0.00910519 + 0.00910519i
\(265\) 3.62342e10 8.74772e10i 0.451349 1.08965i
\(266\) −7.92799e10 3.28388e10i −0.970948 0.402180i
\(267\) 2.17640e7 + 5.25429e7i 0.000262082 + 0.000632723i
\(268\) 1.63179e10i 0.193223i
\(269\) 5.63745e10 2.33511e10i 0.656444 0.271908i −0.0294974 0.999565i \(-0.509391\pi\)
0.685941 + 0.727657i \(0.259391\pi\)
\(270\) −4.18892e10 4.18892e10i −0.479695 0.479695i
\(271\) 7.78327e10 0.876597 0.438299 0.898829i \(-0.355581\pi\)
0.438299 + 0.898829i \(0.355581\pi\)
\(272\) 3.03904e10 9.87280e10i 0.336648 1.09366i
\(273\) −1.61153e9 −0.0175593
\(274\) −1.06285e11 1.06285e11i −1.13918 1.13918i
\(275\) −1.85983e10 + 7.70367e9i −0.196099 + 0.0812270i
\(276\) 4.18443e9i 0.0434056i
\(277\) −8.71438e8 2.10384e9i −0.00889359 0.0214710i 0.919370 0.393393i \(-0.128699\pi\)
−0.928264 + 0.371922i \(0.878699\pi\)
\(278\) 4.53537e10 + 1.87861e10i 0.455419 + 0.188641i
\(279\) 1.89693e10 4.57960e10i 0.187427 0.452490i
\(280\) −7.11244e10 + 7.11244e10i −0.691524 + 0.691524i
\(281\) 3.52393e10 3.52393e10i 0.337170 0.337170i −0.518131 0.855301i \(-0.673372\pi\)
0.855301 + 0.518131i \(0.173372\pi\)
\(282\) −6.37470e9 + 1.53899e10i −0.0600259 + 0.144915i
\(283\) 4.60619e10 + 1.90795e10i 0.426877 + 0.176818i 0.585770 0.810478i \(-0.300792\pi\)
−0.158892 + 0.987296i \(0.550792\pi\)
\(284\) −6.92549e8 1.67196e9i −0.00631710 0.0152508i
\(285\) 5.86752e10i 0.526808i
\(286\) −1.70264e9 + 7.05255e8i −0.0150479 + 0.00623303i
\(287\) 1.98140e10 + 1.98140e10i 0.172387 + 0.172387i
\(288\) −3.92287e10 −0.335999
\(289\) −9.80599e10 6.66884e10i −0.826896 0.562354i
\(290\) 1.52459e11 1.26579
\(291\) 1.61102e10 + 1.61102e10i 0.131699 + 0.131699i
\(292\) 6.31666e8 2.61645e8i 0.00508470 0.00210615i
\(293\) 1.10831e11i 0.878529i 0.898358 + 0.439264i \(0.144761\pi\)
−0.898358 + 0.439264i \(0.855239\pi\)
\(294\) −5.93736e9 1.43341e10i −0.0463479 0.111894i
\(295\) 2.97806e11 + 1.23355e11i 2.28947 + 0.948329i
\(296\) 6.79202e10 1.63974e11i 0.514264 1.24154i
\(297\) 2.69098e9 2.69098e9i 0.0200681 0.0200681i
\(298\) −2.87870e10 + 2.87870e10i −0.211458 + 0.211458i
\(299\) −1.37007e10 + 3.30764e10i −0.0991338 + 0.239330i
\(300\) 9.62098e9 + 3.98514e9i 0.0685763 + 0.0284052i
\(301\) −3.32350e10 8.02364e10i −0.233371 0.563407i
\(302\) 8.18725e10i 0.566378i
\(303\) 8.03395e9 3.32777e9i 0.0547567 0.0226810i
\(304\) −1.99920e11 1.99920e11i −1.34253 1.34253i
\(305\) −1.27121e11 −0.841137
\(306\) −4.75000e10 + 1.54311e11i −0.309705 + 1.00612i
\(307\) −5.07636e10 −0.326159 −0.163080 0.986613i \(-0.552143\pi\)
−0.163080 + 0.986613i \(0.552143\pi\)
\(308\) 9.68382e8 + 9.68382e8i 0.00613152 + 0.00613152i
\(309\) −2.31207e10 + 9.57690e9i −0.144274 + 0.0597601i
\(310\) 1.66315e11i 1.02283i
\(311\) 5.39760e10 + 1.30310e11i 0.327174 + 0.789868i 0.998800 + 0.0489778i \(0.0155963\pi\)
−0.671626 + 0.740891i \(0.734404\pi\)
\(312\) −4.15575e9 1.72137e9i −0.0248287 0.0102844i
\(313\) 3.88776e10 9.38589e10i 0.228955 0.552747i −0.767096 0.641533i \(-0.778299\pi\)
0.996051 + 0.0887862i \(0.0282988\pi\)
\(314\) 1.81266e11 1.81266e11i 1.05228 1.05228i
\(315\) 1.31221e11 1.31221e11i 0.750941 0.750941i
\(316\) −5.65616e9 + 1.36552e10i −0.0319102 + 0.0770380i
\(317\) 1.98727e11 + 8.23153e10i 1.10532 + 0.457840i 0.859325 0.511430i \(-0.170884\pi\)
0.245999 + 0.969270i \(0.420884\pi\)
\(318\) −8.08967e9 1.95302e10i −0.0443618 0.107099i
\(319\) 9.79402e9i 0.0529545i
\(320\) −2.49468e11 + 1.03333e11i −1.32996 + 0.550888i
\(321\) 2.29625e10 + 2.29625e10i 0.120711 + 0.120711i
\(322\) 1.78737e11 0.926536
\(323\) −2.86872e11 + 1.51831e11i −1.46648 + 0.776154i
\(324\) 3.17214e10 0.159919
\(325\) −6.30021e10 6.30021e10i −0.313242 0.313242i
\(326\) −1.29482e11 + 5.36333e10i −0.634937 + 0.263000i
\(327\) 2.41160e10i 0.116638i
\(328\) 2.99311e10 + 7.22601e10i 0.142788 + 0.344720i
\(329\) −9.78491e10 4.05304e10i −0.460442 0.190721i
\(330\) −2.40749e9 + 5.81219e9i −0.0111751 + 0.0269791i
\(331\) −3.56556e10 + 3.56556e10i −0.163268 + 0.163268i −0.784013 0.620745i \(-0.786830\pi\)
0.620745 + 0.784013i \(0.286830\pi\)
\(332\) 1.69350e9 1.69350e9i 0.00765005 0.00765005i
\(333\) −1.25309e11 + 3.02524e11i −0.558451 + 1.34822i
\(334\) −3.12712e11 1.29529e11i −1.37494 0.569521i
\(335\) −1.82385e11 4.40316e11i −0.791201 1.91013i
\(336\) 2.65078e10i 0.113461i
\(337\) 1.28430e11 5.31973e10i 0.542414 0.224675i −0.0946166 0.995514i \(-0.530163\pi\)
0.637031 + 0.770839i \(0.280163\pi\)
\(338\) 1.78143e11 + 1.78143e11i 0.742409 + 0.742409i
\(339\) −5.10142e10 −0.209794
\(340\) −7.57516e9 8.02772e10i −0.0307423 0.325790i
\(341\) −1.06841e10 −0.0427902
\(342\) 3.12474e11 + 3.12474e11i 1.23508 + 1.23508i
\(343\) 2.29531e11 9.50750e10i 0.895403 0.370888i
\(344\) 2.42411e11i 0.933337i
\(345\) 4.67692e10 + 1.12911e11i 0.177735 + 0.429091i
\(346\) 1.08223e11 + 4.48274e10i 0.405954 + 0.168152i
\(347\) −1.67524e11 + 4.04438e11i −0.620288 + 1.49751i 0.231077 + 0.972935i \(0.425775\pi\)
−0.851366 + 0.524573i \(0.824225\pi\)
\(348\) 3.58255e9 3.58255e9i 0.0130944 0.0130944i
\(349\) 3.74848e10 3.74848e10i 0.135251 0.135251i −0.636240 0.771491i \(-0.719511\pi\)
0.771491 + 0.636240i \(0.219511\pi\)
\(350\) −1.70224e11 + 4.10958e11i −0.606338 + 1.46383i
\(351\) 1.55616e10 + 6.44582e9i 0.0547233 + 0.0226671i
\(352\) 3.23572e9 + 7.81172e9i 0.0112339 + 0.0271209i
\(353\) 6.94884e10i 0.238192i −0.992883 0.119096i \(-0.962000\pi\)
0.992883 0.119096i \(-0.0379996\pi\)
\(354\) 6.64883e10 2.75404e10i 0.225025 0.0932084i
\(355\) 3.73749e10 + 3.73749e10i 0.124897 + 0.124897i
\(356\) 2.13912e8 0.000705845
\(357\) 2.90842e10 + 8.95268e9i 0.0947654 + 0.0291706i
\(358\) 8.40590e10 0.270465
\(359\) −4.17127e11 4.17127e11i −1.32539 1.32539i −0.909345 0.416043i \(-0.863416\pi\)
−0.416043 0.909345i \(-0.636584\pi\)
\(360\) 4.78552e11 1.98223e11i 1.50165 0.622003i
\(361\) 5.65665e11i 1.75298i
\(362\) −1.08848e11 2.62783e11i −0.333144 0.804282i
\(363\) 5.14852e10 + 2.13259e10i 0.155633 + 0.0644654i
\(364\) −2.31960e9 + 5.60002e9i −0.00692560 + 0.0167199i
\(365\) −1.41202e10 + 1.41202e10i −0.0416412 + 0.0416412i
\(366\) −2.00684e10 + 2.00684e10i −0.0584585 + 0.0584585i
\(367\) 1.51826e11 3.66541e11i 0.436868 1.05469i −0.540157 0.841564i \(-0.681635\pi\)
0.977024 0.213127i \(-0.0683650\pi\)
\(368\) 5.44067e11 + 2.25360e11i 1.54645 + 0.640562i
\(369\) −5.52214e10 1.33316e11i −0.155056 0.374339i
\(370\) 1.09866e12i 3.04757i
\(371\) 1.24173e11 5.14342e10i 0.340287 0.140951i
\(372\) 3.90814e9 + 3.90814e9i 0.0105810 + 0.0105810i
\(373\) −3.11935e11 −0.834401 −0.417200 0.908815i \(-0.636989\pi\)
−0.417200 + 0.908815i \(0.636989\pi\)
\(374\) 3.46464e10 3.26932e9i 0.0915663 0.00864043i
\(375\) −1.82562e11 −0.476727
\(376\) −2.09036e11 2.09036e11i −0.539357 0.539357i
\(377\) −4.00487e10 + 1.65887e10i −0.102106 + 0.0422938i
\(378\) 8.40911e10i 0.211854i
\(379\) −2.20319e11 5.31897e11i −0.548499 1.32419i −0.918595 0.395200i \(-0.870675\pi\)
0.370096 0.928993i \(-0.379325\pi\)
\(380\) −2.03894e11 8.44558e10i −0.501625 0.207780i
\(381\) 4.63962e10 1.12010e11i 0.112803 0.272330i
\(382\) −3.95481e11 + 3.95481e11i −0.950256 + 0.950256i
\(383\) 8.41466e10 8.41466e10i 0.199821 0.199821i −0.600102 0.799923i \(-0.704873\pi\)
0.799923 + 0.600102i \(0.204873\pi\)
\(384\) −3.26416e10 + 7.88039e10i −0.0766093 + 0.184951i
\(385\) −3.69540e10 1.53068e10i −0.0857211 0.0355068i
\(386\) 2.68264e11 + 6.47646e11i 0.615063 + 1.48489i
\(387\) 4.47236e11i 1.01353i
\(388\) 7.91711e10 3.27938e10i 0.177347 0.0734596i
\(389\) 3.10285e11 + 3.10285e11i 0.687049 + 0.687049i 0.961579 0.274529i \(-0.0885221\pi\)
−0.274529 + 0.961579i \(0.588522\pi\)
\(390\) −2.78443e10 −0.0609461
\(391\) 4.31016e11 5.20835e11i 0.932605 1.12695i
\(392\) 2.75341e11 0.588957
\(393\) −7.99499e10 7.99499e10i −0.169064 0.169064i
\(394\) 3.95235e11 1.63712e11i 0.826271 0.342252i
\(395\) 4.31684e11i 0.892234i
\(396\) −2.69887e9 6.51565e9i −0.00551510 0.0133146i
\(397\) 4.72202e11 + 1.95592e11i 0.954048 + 0.395180i 0.804751 0.593613i \(-0.202299\pi\)
0.149297 + 0.988792i \(0.452299\pi\)
\(398\) −2.89524e11 + 6.98974e11i −0.578377 + 1.39633i
\(399\) 5.88942e10 5.88942e10i 0.116331 0.116331i
\(400\) −1.03631e12 + 1.03631e12i −2.02404 + 2.02404i
\(401\) 2.43192e11 5.87118e11i 0.469677 1.13390i −0.494627 0.869105i \(-0.664695\pi\)
0.964304 0.264796i \(-0.0853047\pi\)
\(402\) −9.83051e10 4.07193e10i −0.187741 0.0777648i
\(403\) −1.80964e10 4.36885e10i −0.0341758 0.0825077i
\(404\) 3.27077e10i 0.0610848i
\(405\) −8.55957e11 + 3.54549e11i −1.58090 + 0.654830i
\(406\) 1.53028e11 + 1.53028e11i 0.279514 + 0.279514i
\(407\) 7.05783e10 0.127496
\(408\) 6.54382e10 + 5.41533e10i 0.116912 + 0.0967507i
\(409\) −9.95230e11 −1.75861 −0.879303 0.476263i \(-0.841991\pi\)
−0.879303 + 0.476263i \(0.841991\pi\)
\(410\) 3.42350e11 + 3.42350e11i 0.598334 + 0.598334i
\(411\) 1.34785e11 5.58296e10i 0.232998 0.0965109i
\(412\) 9.41284e10i 0.160947i
\(413\) 1.75102e11 + 4.22734e11i 0.296153 + 0.714976i
\(414\) −8.50373e11 3.52236e11i −1.42268 0.589295i
\(415\) −2.67685e10 + 6.46249e10i −0.0443004 + 0.106951i
\(416\) −2.64624e10 + 2.64624e10i −0.0433220 + 0.0433220i
\(417\) −3.36916e10 + 3.36916e10i −0.0545645 + 0.0545645i
\(418\) 3.64498e10 8.79976e10i 0.0583985 0.140987i
\(419\) 7.81606e11 + 3.23752e11i 1.23887 + 0.513155i 0.903360 0.428882i \(-0.141093\pi\)
0.335507 + 0.942038i \(0.391093\pi\)
\(420\) 7.91829e9 + 1.91165e10i 0.0124168 + 0.0299768i
\(421\) 5.04944e11i 0.783382i 0.920097 + 0.391691i \(0.128110\pi\)
−0.920097 + 0.391691i \(0.871890\pi\)
\(422\) 5.63638e11 2.33467e11i 0.865156 0.358359i
\(423\) 3.85662e11 + 3.85662e11i 0.585700 + 0.585700i
\(424\) 3.75153e11 0.563718
\(425\) 7.87033e11 + 1.48704e12i 1.17015 + 2.21091i
\(426\) 1.18007e10 0.0173605
\(427\) −1.27595e11 1.27595e11i −0.185741 0.185741i
\(428\) 1.12846e11 4.67423e10i 0.162551 0.0673307i
\(429\) 1.78873e9i 0.00254969i
\(430\) −5.74241e11 1.38634e12i −0.810002 1.95552i
\(431\) −1.06105e12 4.39500e11i −1.48111 0.613495i −0.511746 0.859137i \(-0.671001\pi\)
−0.969361 + 0.245642i \(0.921001\pi\)
\(432\) 1.06026e11 2.55970e11i 0.146466 0.353600i
\(433\) −1.39575e11 + 1.39575e11i −0.190815 + 0.190815i −0.796048 0.605233i \(-0.793080\pi\)
0.605233 + 0.796048i \(0.293080\pi\)
\(434\) −1.66935e11 + 1.66935e11i −0.225863 + 0.225863i
\(435\) −5.66280e10 + 1.36712e11i −0.0758280 + 0.183065i
\(436\) 8.38022e10 + 3.47120e10i 0.111062 + 0.0460035i
\(437\) −7.08094e11 1.70949e12i −0.928805 2.24233i
\(438\) 4.45829e9i 0.00578808i
\(439\) 3.38967e11 1.40405e11i 0.435579 0.180423i −0.154109 0.988054i \(-0.549251\pi\)
0.589688 + 0.807631i \(0.299251\pi\)
\(440\) −7.89453e10 7.89453e10i −0.100413 0.100413i
\(441\) −5.07991e11 −0.639561
\(442\) 7.20513e10 + 1.36135e11i 0.0897928 + 0.169656i
\(443\) −6.90989e10 −0.0852422 −0.0426211 0.999091i \(-0.513571\pi\)
−0.0426211 + 0.999091i \(0.513571\pi\)
\(444\) −2.58168e10 2.58168e10i −0.0315268 0.0315268i
\(445\) −5.77210e9 + 2.39088e9i −0.00697773 + 0.00289027i
\(446\) 3.02163e11i 0.361605i
\(447\) −1.51214e10 3.65062e10i −0.0179146 0.0432497i
\(448\) −3.54117e11 1.46680e11i −0.415333 0.172036i
\(449\) 2.93913e11 7.09568e11i 0.341279 0.823921i −0.656308 0.754493i \(-0.727883\pi\)
0.997587 0.0694275i \(-0.0221172\pi\)
\(450\) 1.61975e12 1.61975e12i 1.86205 1.86205i
\(451\) −2.19928e10 + 2.19928e10i −0.0250314 + 0.0250314i
\(452\) −7.34288e10 + 1.77273e11i −0.0827454 + 0.199765i
\(453\) 7.34163e10 + 3.04100e10i 0.0819126 + 0.0339293i
\(454\) −1.33788e11 3.22994e11i −0.147798 0.356815i
\(455\) 1.77035e11i 0.193645i
\(456\) 2.14782e11 8.89657e10i 0.232625 0.0963564i
\(457\) 1.36804e11 + 1.36804e11i 0.146716 + 0.146716i 0.776649 0.629933i \(-0.216918\pi\)
−0.629933 + 0.776649i \(0.716918\pi\)
\(458\) 1.75847e11 0.186741
\(459\) −2.45040e11 2.02782e11i −0.257679 0.213242i
\(460\) 4.59680e11 0.478680
\(461\) 7.20532e11 + 7.20532e11i 0.743018 + 0.743018i 0.973158 0.230140i \(-0.0739183\pi\)
−0.230140 + 0.973158i \(0.573918\pi\)
\(462\) −8.25036e9 + 3.41741e9i −0.00842527 + 0.00348986i
\(463\) 1.33832e12i 1.35346i 0.736229 + 0.676732i \(0.236604\pi\)
−0.736229 + 0.676732i \(0.763396\pi\)
\(464\) 2.72865e11 + 6.58754e11i 0.273286 + 0.659770i
\(465\) −1.49137e11 6.17745e10i −0.147927 0.0612733i
\(466\) −5.51178e11 + 1.33066e12i −0.541446 + 1.30717i
\(467\) 3.31225e11 3.31225e11i 0.322253 0.322253i −0.527378 0.849631i \(-0.676825\pi\)
0.849631 + 0.527378i \(0.176825\pi\)
\(468\) 2.20719e10 2.20719e10i 0.0212683 0.0212683i
\(469\) 2.58894e11 6.25025e11i 0.247084 0.596513i
\(470\) −1.69066e12 7.00292e11i −1.59814 0.661971i
\(471\) 9.52159e10 + 2.29872e11i 0.0891488 + 0.215224i
\(472\) 1.27717e12i 1.18443i
\(473\) 8.90592e10 3.68895e10i 0.0818095 0.0338866i
\(474\) −6.81495e10 6.81495e10i −0.0620097 0.0620097i
\(475\) 4.60489e12 4.15048
\(476\) 7.29735e10 8.81803e10i 0.0651529 0.0787300i
\(477\) −6.92138e11 −0.612153
\(478\) −7.84848e11 7.84848e11i −0.687638 0.687638i
\(479\) −4.80901e11 + 1.99196e11i −0.417394 + 0.172890i −0.581489 0.813554i \(-0.697530\pi\)
0.164095 + 0.986445i \(0.447530\pi\)
\(480\) 1.27750e11i 0.109844i
\(481\) 1.19543e11 + 2.88602e11i 0.101829 + 0.245836i
\(482\) −1.54605e12 6.40393e11i −1.30470 0.540424i
\(483\) −6.63885e10 + 1.60276e11i −0.0555048 + 0.134001i
\(484\) 1.48213e11 1.48213e11i 0.122768 0.122768i
\(485\) −1.76978e12 + 1.76978e12i −1.45239 + 1.45239i
\(486\) −2.49788e11 + 6.03040e11i −0.203099 + 0.490324i
\(487\) −2.06162e12 8.53949e11i −1.66084 0.687942i −0.662698 0.748887i \(-0.730589\pi\)
−0.998141 + 0.0609451i \(0.980589\pi\)
\(488\) −1.92745e11 4.65329e11i −0.153849 0.371425i
\(489\) 1.36030e11i 0.107583i
\(490\) 1.57467e12 6.52249e11i 1.23398 0.511129i
\(491\) −3.60252e11 3.60252e11i −0.279731 0.279731i 0.553271 0.833001i \(-0.313379\pi\)
−0.833001 + 0.553271i \(0.813379\pi\)
\(492\) 1.60895e10 0.0123794
\(493\) 8.14939e11 7.68997e10i 0.621318 0.0586291i
\(494\) 4.21568e11 0.318491
\(495\) 1.45650e11 + 1.45650e11i 0.109040 + 0.109040i
\(496\) −7.18624e11 + 2.97664e11i −0.533131 + 0.220830i
\(497\) 7.50288e10i 0.0551600i
\(498\) 5.97635e9 + 1.44282e10i 0.00435416 + 0.0105119i
\(499\) 4.19060e11 + 1.73580e11i 0.302569 + 0.125328i 0.528802 0.848745i \(-0.322641\pi\)
−0.226234 + 0.974073i \(0.572641\pi\)
\(500\) −2.62776e11 + 6.34397e11i −0.188027 + 0.453938i
\(501\) 2.32302e11 2.32302e11i 0.164734 0.164734i
\(502\) −1.52863e12 + 1.52863e12i −1.07433 + 1.07433i
\(503\) 3.82395e11 9.23183e11i 0.266352 0.643031i −0.732954 0.680278i \(-0.761859\pi\)
0.999306 + 0.0372474i \(0.0118590\pi\)
\(504\) 6.79301e11 + 2.81376e11i 0.468948 + 0.194245i
\(505\) 3.65572e11 + 8.82569e11i 0.250128 + 0.603862i
\(506\) 1.98391e11i 0.134538i
\(507\) −2.25911e11 + 9.35756e10i −0.151846 + 0.0628965i
\(508\) −3.22451e11 3.22451e11i −0.214821 0.214821i
\(509\) 8.36556e11 0.552415 0.276207 0.961098i \(-0.410922\pi\)
0.276207 + 0.961098i \(0.410922\pi\)
\(510\) 5.02522e11 + 1.54686e11i 0.328919 + 0.101248i
\(511\) −2.83459e10 −0.0183906
\(512\) −6.89985e11 6.89985e11i −0.443736 0.443736i
\(513\) −8.04272e11 + 3.33140e11i −0.512714 + 0.212373i
\(514\) 3.18318e12i 2.01154i
\(515\) −1.05207e12 2.53992e12i −0.659040 1.59106i
\(516\) −4.60707e10 1.90831e10i −0.0286089 0.0118502i
\(517\) 4.49872e10 1.08609e11i 0.0276937 0.0668585i
\(518\) 1.10276e12 1.10276e12i 0.672971 0.672971i
\(519\) −8.03948e10 + 8.03948e10i −0.0486379 + 0.0486379i
\(520\) 1.89101e11 4.56530e11i 0.113417 0.273813i
\(521\) 7.95189e11 + 3.29378e11i 0.472825 + 0.195851i 0.606355 0.795194i \(-0.292631\pi\)
−0.133530 + 0.991045i \(0.542631\pi\)
\(522\) −4.26486e11 1.02963e12i −0.251413 0.606965i
\(523\) 6.31351e11i 0.368989i 0.982834 + 0.184494i \(0.0590648\pi\)
−0.982834 + 0.184494i \(0.940935\pi\)
\(524\) −3.92902e11 + 1.62745e11i −0.227663 + 0.0943012i
\(525\) −3.05285e11 3.05285e11i −0.175384 0.175384i
\(526\) −2.26711e12 −1.29133
\(527\) 8.38885e10 + 8.89003e11i 0.0473756 + 0.502060i
\(528\) −2.94226e10 −0.0164751
\(529\) 1.45162e12 + 1.45162e12i 0.805938 + 0.805938i
\(530\) 2.14549e12 8.88690e11i 1.18109 0.489225i
\(531\) 2.35631e12i 1.28619i
\(532\) −1.19884e11 2.89427e11i −0.0648874 0.156652i
\(533\) −1.27181e11 5.26802e10i −0.0682575 0.0282732i
\(534\) −5.33789e8 + 1.28868e9i −0.000284076 + 0.000685820i
\(535\) −2.52255e12 + 2.52255e12i −1.33121 + 1.33121i
\(536\) 1.33525e12 1.33525e12i 0.698749 0.698749i
\(537\) −3.12222e10 + 7.53771e10i −0.0162024 + 0.0391160i
\(538\) 1.38266e12 + 5.72715e11i 0.711531 + 0.294726i
\(539\) 4.19008e10 + 1.01157e11i 0.0213832 + 0.0516236i
\(540\) 2.16268e11i 0.109451i
\(541\) 3.69415e11 1.53017e11i 0.185408 0.0767983i −0.288048 0.957616i \(-0.593006\pi\)
0.473456 + 0.880818i \(0.343006\pi\)
\(542\) 1.34983e12 + 1.34983e12i 0.671864 + 0.671864i
\(543\) 2.76071e11 0.136277
\(544\) 6.24590e11 3.30572e11i 0.305773 0.161835i
\(545\) −2.64926e12 −1.28629
\(546\) −2.79483e10 2.79483e10i −0.0134582 0.0134582i
\(547\) 2.14004e12 8.86434e11i 1.02207 0.423354i 0.192224 0.981351i \(-0.438430\pi\)
0.829843 + 0.557997i \(0.188430\pi\)
\(548\) 5.48732e11i 0.259925i
\(549\) 3.55606e11 + 8.58509e11i 0.167068 + 0.403338i
\(550\) −4.56147e11 1.88942e11i −0.212556 0.0880434i
\(551\) 8.57358e11 2.06985e12i 0.396260 0.956656i
\(552\) −3.42400e11 + 3.42400e11i −0.156967 + 0.156967i
\(553\) 4.33295e11 4.33295e11i 0.197025 0.197025i
\(554\) 2.13731e10 5.15993e10i 0.00963993 0.0232728i
\(555\) 9.85183e11 + 4.08076e11i 0.440756 + 0.182567i
\(556\) 6.85824e10 + 1.65573e11i 0.0304352 + 0.0734771i
\(557\) 5.37647e11i 0.236673i −0.992974 0.118336i \(-0.962244\pi\)
0.992974 0.118336i \(-0.0377561\pi\)
\(558\) 1.12321e12 4.65247e11i 0.490462 0.203156i
\(559\) 3.01690e11 + 3.01690e11i 0.130680 + 0.130680i
\(560\) −2.91201e12 −1.25126
\(561\) −9.93712e9 + 3.22823e10i −0.00423572 + 0.0137604i
\(562\) 1.22229e12 0.516845
\(563\) 5.85383e10 + 5.85383e10i 0.0245557 + 0.0245557i 0.719278 0.694722i \(-0.244473\pi\)
−0.694722 + 0.719278i \(0.744473\pi\)
\(564\) −5.61837e10 + 2.32721e10i −0.0233805 + 0.00968454i
\(565\) 5.60417e12i 2.31362i
\(566\) 4.67948e11 + 1.12973e12i 0.191657 + 0.462700i
\(567\) −1.21502e12 5.03280e11i −0.493698 0.204496i
\(568\) −8.01425e10 + 1.93481e11i −0.0323069 + 0.0779958i
\(569\) 2.10595e12 2.10595e12i 0.842253 0.842253i −0.146899 0.989152i \(-0.546929\pi\)
0.989152 + 0.146899i \(0.0469291\pi\)
\(570\) 1.01759e12 1.01759e12i 0.403770 0.403770i
\(571\) 9.53467e11 2.30187e12i 0.375356 0.906189i −0.617467 0.786597i \(-0.711841\pi\)
0.992823 0.119593i \(-0.0381589\pi\)
\(572\) −6.21580e9 2.57467e9i −0.00242781 0.00100563i
\(573\) −2.07740e11 5.01529e11i −0.0805052 0.194357i
\(574\) 6.87256e11i 0.264250i
\(575\) −8.86136e12 + 3.67050e12i −3.38061 + 1.40029i
\(576\) 1.39572e12 + 1.39572e12i 0.528319 + 0.528319i
\(577\) −3.75251e12 −1.40939 −0.704694 0.709511i \(-0.748916\pi\)
−0.704694 + 0.709511i \(0.748916\pi\)
\(578\) −5.44066e11 2.85718e12i −0.202757 1.06479i
\(579\) −6.80396e11 −0.251599
\(580\) 3.93561e11 + 3.93561e11i 0.144406 + 0.144406i
\(581\) −9.17346e10 + 3.79977e10i −0.0333996 + 0.0138345i
\(582\) 5.58788e11i 0.201880i
\(583\) 5.70900e10 + 1.37827e11i 0.0204669 + 0.0494114i
\(584\) −7.30971e10 3.02778e10i −0.0260041 0.0107713i
\(585\) −3.48882e11 + 8.42275e11i −0.123162 + 0.297339i
\(586\) −1.92210e12 + 1.92210e12i −0.673345 + 0.673345i
\(587\) 7.30841e11 7.30841e11i 0.254069 0.254069i −0.568568 0.822637i \(-0.692502\pi\)
0.822637 + 0.568568i \(0.192502\pi\)
\(588\) 2.16755e10 5.23292e10i 0.00747775 0.0180529i
\(589\) 2.25796e12 + 9.35277e11i 0.773032 + 0.320200i
\(590\) 3.02545e12 + 7.30408e12i 1.02791 + 2.48160i
\(591\) 4.15221e11i 0.140002i
\(592\) 4.74716e12 1.96634e12i 1.58850 0.657976i
\(593\) 5.89911e10 + 5.89911e10i 0.0195903 + 0.0195903i 0.716834 0.697244i \(-0.245590\pi\)
−0.697244 + 0.716834i \(0.745590\pi\)
\(594\) 9.33378e10 0.0307623
\(595\) −9.83496e11 + 3.19504e12i −0.321696 + 1.04508i
\(596\) −1.48623e11 −0.0482480
\(597\) −5.19242e11 5.19242e11i −0.167296 0.167296i
\(598\) −8.11240e11 + 3.36026e11i −0.259414 + 0.107453i
\(599\) 4.13910e12i 1.31367i 0.754035 + 0.656834i \(0.228105\pi\)
−0.754035 + 0.656834i \(0.771895\pi\)
\(600\) −4.61165e11 1.11335e12i −0.145270 0.350713i
\(601\) 4.58528e12 + 1.89928e12i 1.43361 + 0.593820i 0.958240 0.285966i \(-0.0923145\pi\)
0.475369 + 0.879786i \(0.342315\pi\)
\(602\) 8.15131e11 1.96790e12i 0.252955 0.610687i
\(603\) −2.46347e12 + 2.46347e12i −0.758787 + 0.758787i
\(604\) 2.11348e11 2.11348e11i 0.0646148 0.0646148i
\(605\) −2.34275e12 + 5.65590e12i −0.710930 + 1.71634i
\(606\) 1.97043e11 + 8.16178e10i 0.0593518 + 0.0245843i
\(607\) −8.03755e11 1.94044e12i −0.240311 0.580163i 0.757002 0.653412i \(-0.226663\pi\)
−0.997314 + 0.0732491i \(0.976663\pi\)
\(608\) 1.93416e12i 0.574019i
\(609\) −1.94062e11 + 8.03830e10i −0.0571692 + 0.0236803i
\(610\) −2.20461e12 2.20461e12i −0.644686 0.644686i
\(611\) 5.20309e11 0.151034
\(612\) −5.20962e11 + 2.75726e11i −0.150115 + 0.0794504i
\(613\) −7.31208e11 −0.209155 −0.104578 0.994517i \(-0.533349\pi\)
−0.104578 + 0.994517i \(0.533349\pi\)
\(614\) −8.80378e11 8.80378e11i −0.249983 0.249983i
\(615\) −4.34151e11 + 1.79831e11i −0.122378 + 0.0506905i
\(616\) 1.58480e11i 0.0443467i
\(617\) −2.46678e11 5.95533e11i −0.0685247 0.165433i 0.885907 0.463863i \(-0.153537\pi\)
−0.954432 + 0.298430i \(0.903537\pi\)
\(618\) −5.67064e11 2.34886e11i −0.156381 0.0647751i
\(619\) −2.56388e12 + 6.18976e12i −0.701925 + 1.69460i 0.0173308 + 0.999850i \(0.494483\pi\)
−0.719255 + 0.694746i \(0.755517\pi\)
\(620\) −4.29329e11 + 4.29329e11i −0.116688 + 0.116688i
\(621\) 1.28215e12 1.28215e12i 0.345960 0.345960i
\(622\) −1.32383e12 + 3.19601e12i −0.354630 + 0.856153i
\(623\) −8.19345e9 3.39384e9i −0.00217907 0.000902600i
\(624\) −4.98348e10 1.20312e11i −0.0131584 0.0317671i
\(625\) 1.05130e13i 2.75591i
\(626\) 2.30201e12 9.53524e11i 0.599132 0.248169i
\(627\) 6.53702e10 + 6.53702e10i 0.0168918 + 0.0168918i
\(628\) 9.35849e11 0.240097
\(629\) −5.54159e11 5.87266e12i −0.141158 1.49592i
\(630\) 4.55145e12 1.15111
\(631\) −3.07819e12 3.07819e12i −0.772972 0.772972i 0.205653 0.978625i \(-0.434068\pi\)
−0.978625 + 0.205653i \(0.934068\pi\)
\(632\) 1.58019e12 6.54537e11i 0.393988 0.163195i
\(633\) 5.92140e11i 0.146591i
\(634\) 2.01889e12 + 4.87402e12i 0.496261 + 1.19808i
\(635\) 1.23049e13 + 5.09685e12i 3.00328 + 1.24400i
\(636\) 2.95329e10 7.12987e10i 0.00715730 0.0172792i
\(637\) −3.42673e11 + 3.42673e11i −0.0824618 + 0.0824618i
\(638\) −1.69855e11 + 1.69855e11i −0.0405868 + 0.0405868i
\(639\) 1.47859e11 3.56963e11i 0.0350828 0.0846973i
\(640\) −8.65700e12 3.58585e12i −2.03966 0.844855i
\(641\) −2.15489e12 5.20237e12i −0.504156 1.21714i −0.947201 0.320640i \(-0.896102\pi\)
0.443045 0.896499i \(-0.353898\pi\)
\(642\) 7.96464e11i 0.185037i
\(643\) −1.28481e12 + 5.32186e11i −0.296408 + 0.122776i −0.525932 0.850527i \(-0.676283\pi\)
0.229523 + 0.973303i \(0.426283\pi\)
\(644\) 4.61396e11 + 4.61396e11i 0.105703 + 0.105703i
\(645\) 1.45644e12 0.331341
\(646\) −7.60828e12 2.34198e12i −1.71886 0.529098i
\(647\) 6.85939e12 1.53892 0.769460 0.638695i \(-0.220525\pi\)
0.769460 + 0.638695i \(0.220525\pi\)
\(648\) −2.59567e12 2.59567e12i −0.578313 0.578313i
\(649\) −4.69218e11 + 1.94356e11i −0.103818 + 0.0430029i
\(650\) 2.18525e12i 0.480166i
\(651\) −8.76884e10 2.11699e11i −0.0191350 0.0461959i
\(652\) −4.72700e11 1.95799e11i −0.102440 0.0424322i
\(653\) 1.02935e12 2.48506e12i 0.221540 0.534846i −0.773559 0.633724i \(-0.781525\pi\)
0.995100 + 0.0988784i \(0.0315255\pi\)
\(654\) −4.18235e11 + 4.18235e11i −0.0893966 + 0.0893966i
\(655\) 8.78289e12 8.78289e12i 1.86445 1.86445i
\(656\) −8.66526e11 + 2.09198e12i −0.182690 + 0.441052i
\(657\) 1.34861e11 + 5.58611e10i 0.0282385 + 0.0116968i
\(658\) −9.94060e11 2.39987e12i −0.206726 0.499082i
\(659\) 5.52408e12i 1.14097i 0.821307 + 0.570487i \(0.193245\pi\)
−0.821307 + 0.570487i \(0.806755\pi\)
\(660\) −2.12185e10 + 8.78899e9i −0.00435278 + 0.00180298i
\(661\) −5.01628e12 5.01628e12i −1.02206 1.02206i −0.999751 0.0223070i \(-0.992899\pi\)
−0.0223070 0.999751i \(-0.507101\pi\)
\(662\) −1.23673e12 −0.250273
\(663\) −1.48837e11 + 1.40446e10i −0.0299157 + 0.00282292i
\(664\) −2.77149e11 −0.0553295
\(665\) 6.46982e12 + 6.46982e12i 1.28291 + 1.28291i
\(666\) −7.41978e12 + 3.07337e12i −1.46136 + 0.605315i
\(667\) 4.66647e12i 0.912898i
\(668\) −4.72872e11 1.14161e12i −0.0918860 0.221833i
\(669\) 2.70954e11 + 1.12233e11i 0.0522972 + 0.0216622i
\(670\) 4.47322e12 1.07993e13i 0.857598 2.07042i
\(671\) 1.41626e11 1.41626e11i 0.0269706 0.0269706i
\(672\) −1.28227e11 + 1.28227e11i −0.0242559 + 0.0242559i
\(673\) 1.25987e12 3.04161e12i 0.236733 0.571525i −0.760208 0.649680i \(-0.774903\pi\)
0.996941 + 0.0781549i \(0.0249029\pi\)
\(674\) 3.14990e12 + 1.30473e12i 0.587932 + 0.243530i
\(675\) 1.72688e12 + 4.16905e12i 0.320180 + 0.772983i
\(676\) 9.19726e11i 0.169394i
\(677\) 3.72091e12 1.54125e12i 0.680769 0.281984i −0.0153794 0.999882i \(-0.504896\pi\)
0.696148 + 0.717898i \(0.254896\pi\)
\(678\) −8.84724e11 8.84724e11i −0.160796 0.160796i
\(679\) −3.55278e12 −0.641438
\(680\) −5.94901e12 + 7.18872e12i −1.06698 + 1.28932i
\(681\) 3.39327e11 0.0604584
\(682\) −1.85292e11 1.85292e11i −0.0327964 0.0327964i
\(683\) −6.69099e12 + 2.77150e12i −1.17651 + 0.487328i −0.883341 0.468731i \(-0.844711\pi\)
−0.293173 + 0.956059i \(0.594711\pi\)
\(684\) 1.61326e12i 0.281807i
\(685\) 6.13316e12 + 1.48068e13i 1.06433 + 2.56952i
\(686\) 5.62955e12 + 2.33184e12i 0.970544 + 0.402012i
\(687\) −6.53151e10 + 1.57685e11i −0.0111869 + 0.0270075i
\(688\) 4.96244e12 4.96244e12i 0.844399 0.844399i
\(689\) −4.66893e11 + 4.66893e11i −0.0789280 + 0.0789280i
\(690\) −1.14707e12 + 2.76928e12i −0.192651 + 0.465100i
\(691\) 9.00160e12 + 3.72858e12i 1.50200 + 0.622147i 0.973888 0.227031i \(-0.0729018\pi\)
0.528108 + 0.849178i \(0.322902\pi\)
\(692\) 1.63651e11 + 3.95088e11i 0.0271295 + 0.0654963i
\(693\) 2.92388e11i 0.0481570i
\(694\) −9.91935e12 + 4.10873e12i −1.62318 + 0.672342i
\(695\) −3.70119e12 3.70119e12i −0.601742 0.601742i
\(696\) −5.86300e11 −0.0947062
\(697\) 2.00265e12 + 1.65729e12i 0.321409 + 0.265981i
\(698\) 1.30018e12 0.207325
\(699\) −9.88500e11 9.88500e11i −0.156613 0.156613i
\(700\) −1.50028e12 + 6.21436e11i −0.236173 + 0.0978262i
\(701\) 5.91498e11i 0.0925171i 0.998930 + 0.0462585i \(0.0147298\pi\)
−0.998930 + 0.0462585i \(0.985270\pi\)
\(702\) 1.58092e11 + 3.81668e11i 0.0245693 + 0.0593155i
\(703\) −1.49159e13 6.17835e12i −2.30329 0.954055i
\(704\) 1.62809e11 3.93056e11i 0.0249806 0.0603084i
\(705\) 1.25593e12 1.25593e12i 0.191475 0.191475i
\(706\) 1.20512e12 1.20512e12i 0.182561 0.182561i
\(707\) −5.18927e11 + 1.25280e12i −0.0781122 + 0.188579i
\(708\) 2.42728e11 + 1.00541e11i 0.0363054 + 0.0150382i
\(709\) −4.41380e11 1.06559e12i −0.0656001 0.158373i 0.887680 0.460462i \(-0.152316\pi\)
−0.953280 + 0.302089i \(0.902316\pi\)
\(710\) 1.29636e12i 0.191454i
\(711\) −2.91538e12 + 1.20759e12i −0.427840 + 0.177217i
\(712\) −1.75038e10 1.75038e10i −0.00255254 0.00255254i
\(713\) −5.09057e12 −0.737673
\(714\) 3.49134e11 + 6.59661e11i 0.0502748 + 0.0949903i
\(715\) 1.96501e11 0.0281183
\(716\) 2.16992e11 + 2.16992e11i 0.0308557 + 0.0308557i
\(717\) 9.95302e11 4.12268e11i 0.140643 0.0582563i
\(718\) 1.44682e13i 2.03168i
\(719\) −2.38380e12 5.75501e12i −0.332652 0.803094i −0.998380 0.0568990i \(-0.981879\pi\)
0.665728 0.746195i \(-0.268121\pi\)
\(720\) 1.38544e13 + 5.73869e12i 1.92129 + 0.795823i
\(721\) 1.49341e12 3.60540e12i 0.205811 0.496872i
\(722\) −9.81015e12 + 9.81015e12i −1.34356 + 1.34356i
\(723\) 1.14850e12 1.14850e12i 0.156318 0.156318i
\(724\) 3.97371e11 9.59339e11i 0.0537493 0.129762i
\(725\) −1.07293e13 4.44423e12i −1.44228 0.597413i
\(726\) 5.23044e11 + 1.26274e12i 0.0698752 + 0.168694i
\(727\) 4.90592e12i 0.651352i 0.945482 + 0.325676i \(0.105592\pi\)
−0.945482 + 0.325676i \(0.894408\pi\)
\(728\) 6.48040e11 2.68427e11i 0.0855088 0.0354189i
\(729\) 4.48288e12 + 4.48288e12i 0.587872 + 0.587872i
\(730\) −4.89765e11 −0.0638315
\(731\) −3.76876e12 7.12078e12i −0.488169 0.922357i
\(732\) −1.03610e11 −0.0133384
\(733\) 7.04161e12 + 7.04161e12i 0.900957 + 0.900957i 0.995519 0.0945623i \(-0.0301451\pi\)
−0.0945623 + 0.995519i \(0.530145\pi\)
\(734\) 8.98989e12 3.72373e12i 1.14320 0.473529i
\(735\) 1.65430e12i 0.209084i
\(736\) 1.54169e12 + 3.72198e12i 0.193664 + 0.467545i
\(737\) 6.93753e11 + 2.87362e11i 0.0866166 + 0.0358778i
\(738\) 1.35438e12 3.26975e12i 0.168068 0.405752i
\(739\) −1.93443e12 + 1.93443e12i −0.238591 + 0.238591i −0.816266 0.577676i \(-0.803960\pi\)
0.577676 + 0.816266i \(0.303960\pi\)
\(740\) 2.83611e12 2.83611e12i 0.347680 0.347680i
\(741\) −1.56584e11 + 3.78027e11i −0.0190794 + 0.0460618i
\(742\) 3.04550e12 + 1.26149e12i 0.368843 + 0.152780i
\(743\) 1.75582e12 + 4.23893e12i 0.211364 + 0.510278i 0.993633 0.112662i \(-0.0359379\pi\)
−0.782269 + 0.622941i \(0.785938\pi\)
\(744\) 6.39585e11i 0.0765279i
\(745\) 4.01039e12 1.66116e12i 0.476961 0.197564i
\(746\) −5.40980e12 5.40980e12i −0.639523 0.639523i
\(747\) 5.11327e11 0.0600836
\(748\) 9.78767e10 + 8.09977e10i 0.0114320 + 0.00946053i
\(749\) −5.06393e12 −0.587921
\(750\) −3.16611e12 3.16611e12i −0.365385 0.365385i
\(751\) −2.07704e12 + 8.60338e11i −0.238268 + 0.0986937i −0.498622 0.866819i \(-0.666161\pi\)
0.260355 + 0.965513i \(0.416161\pi\)
\(752\) 8.55847e12i 0.975923i
\(753\) −8.02965e11 1.93853e12i −0.0910163 0.219733i
\(754\) −9.82246e11 4.06860e11i −0.110675 0.0458431i
\(755\) −3.34069e12 + 8.06515e12i −0.374176 + 0.903340i
\(756\) 2.17075e11 2.17075e11i 0.0241692 0.0241692i
\(757\) 5.39870e12 5.39870e12i 0.597527 0.597527i −0.342127 0.939654i \(-0.611147\pi\)
0.939654 + 0.342127i \(0.111147\pi\)
\(758\) 5.40361e12 1.30455e13i 0.594528 1.43532i
\(759\) −1.77900e11 7.36886e10i −0.0194576 0.00805958i
\(760\)