Properties

Label 17.10.d.a.8.5
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 8.5
Character \(\chi\) \(=\) 17.8
Dual form 17.10.d.a.15.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-12.2939 + 12.2939i) q^{2} +(41.5316 - 100.266i) q^{3} +209.719i q^{4} +(-793.507 - 328.681i) q^{5} +(722.077 + 1743.25i) q^{6} +(7184.85 - 2976.06i) q^{7} +(-8872.76 - 8872.76i) q^{8} +(5589.57 + 5589.57i) q^{9} +O(q^{10})\) \(q+(-12.2939 + 12.2939i) q^{2} +(41.5316 - 100.266i) q^{3} +209.719i q^{4} +(-793.507 - 328.681i) q^{5} +(722.077 + 1743.25i) q^{6} +(7184.85 - 2976.06i) q^{7} +(-8872.76 - 8872.76i) q^{8} +(5589.57 + 5589.57i) q^{9} +(13796.1 - 5714.52i) q^{10} +(36020.0 + 86960.0i) q^{11} +(21027.7 + 8709.97i) q^{12} +69059.4i q^{13} +(-51742.5 + 124917. i) q^{14} +(-65911.1 + 65911.1i) q^{15} +110785. q^{16} +(268634. + 215462. i) q^{17} -137435. q^{18} +(567107. - 567107. i) q^{19} +(68930.8 - 166414. i) q^{20} -843997. i q^{21} +(-1.51191e6 - 626252. i) q^{22} +(636421. + 1.53646e6i) q^{23} +(-1.25814e6 + 521137. i) q^{24} +(-859447. - 859447. i) q^{25} +(-849010. - 849010. i) q^{26} +(2.76612e6 - 1.14577e6i) q^{27} +(624138. + 1.50680e6i) q^{28} +(-4.94229e6 - 2.04716e6i) q^{29} -1.62061e6i q^{30} +(-1.49259e6 + 3.60342e6i) q^{31} +(3.18086e6 - 3.18086e6i) q^{32} +1.02151e7 q^{33} +(-5.95143e6 + 653697. i) q^{34} -6.67940e6 q^{35} +(-1.17224e6 + 1.17224e6i) q^{36} +(4.00274e6 - 9.66348e6i) q^{37} +1.39439e7i q^{38} +(6.92431e6 + 2.86814e6i) q^{39} +(4.12428e6 + 9.95690e6i) q^{40} +(1.02441e7 - 4.24324e6i) q^{41} +(1.03760e7 + 1.03760e7i) q^{42} +(8.66131e6 + 8.66131e6i) q^{43} +(-1.82372e7 + 7.55409e6i) q^{44} +(-2.59817e6 - 6.27255e6i) q^{45} +(-2.67132e7 - 1.10650e7i) q^{46} +1.96866e7i q^{47} +(4.60109e6 - 1.11080e7i) q^{48} +(1.42308e7 - 1.42308e7i) q^{49} +2.11319e7 q^{50} +(3.27603e7 - 1.79864e7i) q^{51} -1.44831e7 q^{52} +(-5.00580e7 + 5.00580e7i) q^{53} +(-1.99205e7 + 4.80925e7i) q^{54} -8.08424e7i q^{55} +(-9.01553e7 - 3.73435e7i) q^{56} +(-3.33088e7 - 8.04145e7i) q^{57} +(8.59277e7 - 3.55924e7i) q^{58} +(-3.24953e7 - 3.24953e7i) q^{59} +(-1.38228e7 - 1.38228e7i) q^{60} +(5.98943e7 - 2.48090e7i) q^{61} +(-2.59504e7 - 6.26499e7i) q^{62} +(5.67951e7 + 2.35253e7i) q^{63} +1.34933e8i q^{64} +(2.26985e7 - 5.47991e7i) q^{65} +(-1.25584e8 + 1.25584e8i) q^{66} +5.04019e7 q^{67} +(-4.51865e7 + 5.63377e7i) q^{68} +1.80486e8 q^{69} +(8.21160e7 - 8.21160e7i) q^{70} +(-1.12991e8 + 2.72785e8i) q^{71} -9.91898e7i q^{72} +(-6.12788e7 - 2.53825e7i) q^{73} +(6.95926e7 + 1.68011e8i) q^{74} +(-1.21867e8 + 5.04792e7i) q^{75} +(1.18933e8 + 1.18933e8i) q^{76} +(5.17597e8 + 5.17597e8i) q^{77} +(-1.20388e8 + 4.98662e7i) q^{78} +(-1.82078e8 - 4.39575e8i) q^{79} +(-8.79090e7 - 3.64131e7i) q^{80} -1.69343e8i q^{81} +(-7.37739e7 + 1.78106e8i) q^{82} +(2.01989e8 - 2.01989e8i) q^{83} +1.77003e8 q^{84} +(-1.42345e8 - 2.59265e8i) q^{85} -2.12963e8 q^{86} +(-4.10522e8 + 4.10522e8i) q^{87} +(4.51978e8 - 1.09117e9i) q^{88} -7.06114e8i q^{89} +(1.09056e8 + 4.51724e7i) q^{90} +(2.05525e8 + 4.96181e8i) q^{91} +(-3.22225e8 + 1.33470e8i) q^{92} +(2.99312e8 + 2.99312e8i) q^{93} +(-2.42025e8 - 2.42025e8i) q^{94} +(-6.36401e8 + 2.63606e8i) q^{95} +(-1.86826e8 - 4.51039e8i) q^{96} +(-8.43523e8 - 3.49399e8i) q^{97} +3.49905e8i q^{98} +(-2.84733e8 + 6.87405e8i) 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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −12.2939 + 12.2939i −0.543319 + 0.543319i −0.924500 0.381181i \(-0.875517\pi\)
0.381181 + 0.924500i \(0.375517\pi\)
\(3\) 41.5316 100.266i 0.296028 0.714675i −0.703962 0.710237i \(-0.748588\pi\)
0.999990 0.00443716i \(-0.00141240\pi\)
\(4\) 209.719i 0.409608i
\(5\) −793.507 328.681i −0.567787 0.235185i 0.0802748 0.996773i \(-0.474420\pi\)
−0.648062 + 0.761588i \(0.724420\pi\)
\(6\) 722.077 + 1743.25i 0.227459 + 0.549134i
\(7\) 7184.85 2976.06i 1.13104 0.468491i 0.262903 0.964822i \(-0.415320\pi\)
0.868133 + 0.496332i \(0.165320\pi\)
\(8\) −8872.76 8872.76i −0.765867 0.765867i
\(9\) 5589.57 + 5589.57i 0.283980 + 0.283980i
\(10\) 13796.1 5714.52i 0.436270 0.180709i
\(11\) 36020.0 + 86960.0i 0.741783 + 1.79082i 0.598472 + 0.801144i \(0.295775\pi\)
0.143311 + 0.989678i \(0.454225\pi\)
\(12\) 21027.7 + 8709.97i 0.292736 + 0.121255i
\(13\) 69059.4i 0.670622i 0.942108 + 0.335311i \(0.108841\pi\)
−0.942108 + 0.335311i \(0.891159\pi\)
\(14\) −51742.5 + 124917.i −0.359974 + 0.869054i
\(15\) −65911.1 + 65911.1i −0.336162 + 0.336162i
\(16\) 110785. 0.422613
\(17\) 268634. + 215462.i 0.780083 + 0.625676i
\(18\) −137435. −0.308583
\(19\) 567107. 567107.i 0.998330 0.998330i −0.00166876 0.999999i \(-0.500531\pi\)
0.999999 + 0.00166876i \(0.000531184\pi\)
\(20\) 68930.8 166414.i 0.0963337 0.232570i
\(21\) 843997.i 0.947009i
\(22\) −1.51191e6 626252.i −1.37601 0.569963i
\(23\) 636421. + 1.53646e6i 0.474209 + 1.14484i 0.962286 + 0.272040i \(0.0876984\pi\)
−0.488077 + 0.872800i \(0.662302\pi\)
\(24\) −1.25814e6 + 521137.i −0.774064 + 0.320628i
\(25\) −859447. 859447.i −0.440037 0.440037i
\(26\) −849010. 849010.i −0.364362 0.364362i
\(27\) 2.76612e6 1.14577e6i 1.00169 0.414915i
\(28\) 624138. + 1.50680e6i 0.191898 + 0.463282i
\(29\) −4.94229e6 2.04716e6i −1.29759 0.537479i −0.376351 0.926477i \(-0.622821\pi\)
−0.921238 + 0.388998i \(0.872821\pi\)
\(30\) 1.62061e6i 0.365286i
\(31\) −1.49259e6 + 3.60342e6i −0.290277 + 0.700789i −0.999993 0.00369775i \(-0.998823\pi\)
0.709717 + 0.704487i \(0.248823\pi\)
\(32\) 3.18086e6 3.18086e6i 0.536254 0.536254i
\(33\) 1.02151e7 1.49944
\(34\) −5.95143e6 + 653697.i −0.763776 + 0.0838922i
\(35\) −6.67940e6 −0.752370
\(36\) −1.17224e6 + 1.17224e6i −0.116320 + 0.116320i
\(37\) 4.00274e6 9.66348e6i 0.351115 0.847668i −0.645368 0.763872i \(-0.723296\pi\)
0.996483 0.0837955i \(-0.0267042\pi\)
\(38\) 1.39439e7i 1.08482i
\(39\) 6.92431e6 + 2.86814e6i 0.479276 + 0.198523i
\(40\) 4.12428e6 + 9.95690e6i 0.254729 + 0.614970i
\(41\) 1.02441e7 4.24324e6i 0.566169 0.234515i −0.0811920 0.996698i \(-0.525873\pi\)
0.647361 + 0.762184i \(0.275873\pi\)
\(42\) 1.03760e7 + 1.03760e7i 0.514528 + 0.514528i
\(43\) 8.66131e6 + 8.66131e6i 0.386345 + 0.386345i 0.873382 0.487037i \(-0.161922\pi\)
−0.487037 + 0.873382i \(0.661922\pi\)
\(44\) −1.82372e7 + 7.55409e6i −0.733535 + 0.303840i
\(45\) −2.59817e6 6.27255e6i −0.0944522 0.228028i
\(46\) −2.67132e7 1.10650e7i −0.879661 0.364367i
\(47\) 1.96866e7i 0.588478i 0.955732 + 0.294239i \(0.0950661\pi\)
−0.955732 + 0.294239i \(0.904934\pi\)
\(48\) 4.60109e6 1.11080e7i 0.125105 0.302031i
\(49\) 1.42308e7 1.42308e7i 0.352653 0.352653i
\(50\) 2.11319e7 0.478161
\(51\) 3.27603e7 1.79864e7i 0.678081 0.372288i
\(52\) −1.44831e7 −0.274692
\(53\) −5.00580e7 + 5.00580e7i −0.871429 + 0.871429i −0.992628 0.121200i \(-0.961326\pi\)
0.121200 + 0.992628i \(0.461326\pi\)
\(54\) −1.99205e7 + 4.80925e7i −0.318808 + 0.769671i
\(55\) 8.08424e7i 1.19126i
\(56\) −9.01553e7 3.73435e7i −1.22503 0.507422i
\(57\) −3.33088e7 8.04145e7i −0.417947 1.00901i
\(58\) 8.59277e7 3.55924e7i 0.997028 0.412983i
\(59\) −3.24953e7 3.24953e7i −0.349129 0.349129i 0.510656 0.859785i \(-0.329403\pi\)
−0.859785 + 0.510656i \(0.829403\pi\)
\(60\) −1.38228e7 1.38228e7i −0.137695 0.137695i
\(61\) 5.98943e7 2.48090e7i 0.553862 0.229417i −0.0881561 0.996107i \(-0.528097\pi\)
0.642018 + 0.766690i \(0.278097\pi\)
\(62\) −2.59504e7 6.26499e7i −0.223040 0.538465i
\(63\) 5.67951e7 + 2.35253e7i 0.454233 + 0.188149i
\(64\) 1.34933e8i 1.00533i
\(65\) 2.26985e7 5.47991e7i 0.157720 0.380770i
\(66\) −1.25584e8 + 1.25584e8i −0.814676 + 0.814676i
\(67\) 5.04019e7 0.305570 0.152785 0.988259i \(-0.451176\pi\)
0.152785 + 0.988259i \(0.451176\pi\)
\(68\) −4.51865e7 + 5.63377e7i −0.256282 + 0.319528i
\(69\) 1.80486e8 0.958567
\(70\) 8.21160e7 8.21160e7i 0.408777 0.408777i
\(71\) −1.12991e8 + 2.72785e8i −0.527693 + 1.27396i 0.405337 + 0.914167i \(0.367154\pi\)
−0.933031 + 0.359797i \(0.882846\pi\)
\(72\) 9.91898e7i 0.434981i
\(73\) −6.12788e7 2.53825e7i −0.252556 0.104612i 0.252814 0.967515i \(-0.418644\pi\)
−0.505370 + 0.862903i \(0.668644\pi\)
\(74\) 6.95926e7 + 1.68011e8i 0.269786 + 0.651322i
\(75\) −1.21867e8 + 5.04792e7i −0.444746 + 0.184220i
\(76\) 1.18933e8 + 1.18933e8i 0.408924 + 0.408924i
\(77\) 5.17597e8 + 5.17597e8i 1.67797 + 1.67797i
\(78\) −1.20388e8 + 4.98662e7i −0.368261 + 0.152539i
\(79\) −1.82078e8 4.39575e8i −0.525939 1.26973i −0.934163 0.356848i \(-0.883852\pi\)
0.408223 0.912882i \(-0.366148\pi\)
\(80\) −8.79090e7 3.64131e7i −0.239954 0.0993923i
\(81\) 1.69343e8i 0.437103i
\(82\) −7.37739e7 + 1.78106e8i −0.180194 + 0.435027i
\(83\) 2.01989e8 2.01989e8i 0.467172 0.467172i −0.433825 0.900997i \(-0.642836\pi\)
0.900997 + 0.433825i \(0.142836\pi\)
\(84\) 1.77003e8 0.387903
\(85\) −1.42345e8 2.59265e8i −0.295771 0.538715i
\(86\) −2.12963e8 −0.419818
\(87\) −4.10522e8 + 4.10522e8i −0.768245 + 0.768245i
\(88\) 4.51978e8 1.09117e9i 0.803425 1.93964i
\(89\) 7.06114e8i 1.19294i −0.802634 0.596471i \(-0.796569\pi\)
0.802634 0.596471i \(-0.203431\pi\)
\(90\) 1.09056e8 + 4.51724e7i 0.175210 + 0.0725742i
\(91\) 2.05525e8 + 4.96181e8i 0.314180 + 0.758497i
\(92\) −3.22225e8 + 1.33470e8i −0.468936 + 0.194240i
\(93\) 2.99312e8 + 2.99312e8i 0.414906 + 0.414906i
\(94\) −2.42025e8 2.42025e8i −0.319731 0.319731i
\(95\) −6.36401e8 + 2.63606e8i −0.801631 + 0.332046i
\(96\) −1.86826e8 4.51039e8i −0.224501 0.541993i
\(97\) −8.43523e8 3.49399e8i −0.967440 0.400727i −0.157682 0.987490i \(-0.550402\pi\)
−0.809759 + 0.586763i \(0.800402\pi\)
\(98\) 3.49905e8i 0.383206i
\(99\) −2.84733e8 + 6.87405e8i −0.297906 + 0.719208i
\(100\) 1.80243e8 1.80243e8i 0.180243 0.180243i
\(101\) 1.09424e6 0.00104632 0.000523160 1.00000i \(-0.499833\pi\)
0.000523160 1.00000i \(0.499833\pi\)
\(102\) −1.81628e8 + 6.23875e8i −0.166143 + 0.570686i
\(103\) 1.13364e9 0.992451 0.496226 0.868194i \(-0.334719\pi\)
0.496226 + 0.868194i \(0.334719\pi\)
\(104\) 6.12747e8 6.12747e8i 0.513607 0.513607i
\(105\) −2.77406e8 + 6.69717e8i −0.222722 + 0.537700i
\(106\) 1.23082e9i 0.946928i
\(107\) −1.00058e9 4.14455e8i −0.737948 0.305668i −0.0181343 0.999836i \(-0.505773\pi\)
−0.719813 + 0.694168i \(0.755773\pi\)
\(108\) 2.40289e8 + 5.80110e8i 0.169953 + 0.410302i
\(109\) −152635. + 63223.4i −0.000103570 + 4.29001e-5i −0.382735 0.923858i \(-0.625018\pi\)
0.382632 + 0.923901i \(0.375018\pi\)
\(110\) 9.93870e8 + 9.93870e8i 0.647235 + 0.647235i
\(111\) −8.02679e8 8.02679e8i −0.501867 0.501867i
\(112\) 7.95977e8 3.29705e8i 0.477991 0.197990i
\(113\) 2.62058e8 + 6.32663e8i 0.151197 + 0.365023i 0.981271 0.192631i \(-0.0617019\pi\)
−0.830074 + 0.557653i \(0.811702\pi\)
\(114\) 1.39810e9 + 5.79113e8i 0.775296 + 0.321138i
\(115\) 1.42837e9i 0.761553i
\(116\) 4.29330e8 1.03649e9i 0.220156 0.531503i
\(117\) −3.86012e8 + 3.86012e8i −0.190443 + 0.190443i
\(118\) 7.98988e8 0.379377
\(119\) 2.57132e9 + 7.48587e8i 1.17543 + 0.342201i
\(120\) 1.16963e9 0.514910
\(121\) −4.59728e9 + 4.59728e9i −1.94969 + 1.94969i
\(122\) −4.31336e8 + 1.04134e9i −0.176277 + 0.425571i
\(123\) 1.20336e9i 0.474049i
\(124\) −7.55707e8 3.13024e8i −0.287049 0.118900i
\(125\) 1.04145e9 + 2.51428e9i 0.381542 + 0.921124i
\(126\) −9.87453e8 + 4.09016e8i −0.349019 + 0.144568i
\(127\) −1.96126e8 1.96126e8i −0.0668989 0.0668989i 0.672866 0.739765i \(-0.265063\pi\)
−0.739765 + 0.672866i \(0.765063\pi\)
\(128\) −3.02488e7 3.02488e7i −0.00996009 0.00996009i
\(129\) 1.22815e9 5.08718e8i 0.390480 0.161742i
\(130\) 3.94641e8 + 9.52749e8i 0.121187 + 0.292572i
\(131\) −2.22414e9 9.21267e8i −0.659843 0.273316i 0.0275296 0.999621i \(-0.491236\pi\)
−0.687372 + 0.726305i \(0.741236\pi\)
\(132\) 2.14230e9i 0.614184i
\(133\) 2.38683e9 5.76233e9i 0.661439 1.59686i
\(134\) −6.19637e8 + 6.19637e8i −0.166022 + 0.166022i
\(135\) −2.57153e9 −0.666330
\(136\) −4.71786e8 4.29526e9i −0.118255 1.07663i
\(137\) 8.47234e8 0.205476 0.102738 0.994708i \(-0.467240\pi\)
0.102738 + 0.994708i \(0.467240\pi\)
\(138\) −2.21888e9 + 2.21888e9i −0.520808 + 0.520808i
\(139\) 2.25467e9 5.44325e9i 0.512290 1.23678i −0.430257 0.902706i \(-0.641577\pi\)
0.942548 0.334072i \(-0.108423\pi\)
\(140\) 1.40080e9i 0.308177i
\(141\) 1.97390e9 + 8.17615e8i 0.420570 + 0.174206i
\(142\) −1.96449e9 4.74269e9i −0.405464 0.978876i
\(143\) −6.00540e9 + 2.48752e9i −1.20096 + 0.497455i
\(144\) 6.19243e8 + 6.19243e8i 0.120014 + 0.120014i
\(145\) 3.24888e9 + 3.24888e9i 0.610347 + 0.610347i
\(146\) 1.06541e9 4.41306e8i 0.194056 0.0803808i
\(147\) −8.35840e8 2.01790e9i −0.147637 0.356427i
\(148\) 2.02662e9 + 8.39453e8i 0.347212 + 0.143820i
\(149\) 2.49054e9i 0.413958i −0.978345 0.206979i \(-0.933637\pi\)
0.978345 0.206979i \(-0.0663632\pi\)
\(150\) 8.77642e8 2.11881e9i 0.141549 0.341729i
\(151\) 4.40811e9 4.40811e9i 0.690011 0.690011i −0.272223 0.962234i \(-0.587759\pi\)
0.962234 + 0.272223i \(0.0877588\pi\)
\(152\) −1.00636e10 −1.52918
\(153\) 2.97211e8 + 2.70589e9i 0.0438484 + 0.399207i
\(154\) −1.27266e10 −1.82334
\(155\) 2.36875e9 2.36875e9i 0.329631 0.329631i
\(156\) −6.01505e8 + 1.45216e9i −0.0813165 + 0.196315i
\(157\) 2.04937e9i 0.269198i 0.990900 + 0.134599i \(0.0429747\pi\)
−0.990900 + 0.134599i \(0.957025\pi\)
\(158\) 7.64255e9 + 3.16565e9i 0.975622 + 0.404116i
\(159\) 2.94013e9 + 7.09810e9i 0.364821 + 0.880755i
\(160\) −3.56953e9 + 1.47855e9i −0.430597 + 0.178359i
\(161\) 9.14518e9 + 9.14518e9i 1.07269 + 1.07269i
\(162\) 2.08189e9 + 2.08189e9i 0.237487 + 0.237487i
\(163\) 1.41464e10 5.85965e9i 1.56965 0.650171i 0.582920 0.812530i \(-0.301910\pi\)
0.986732 + 0.162359i \(0.0519102\pi\)
\(164\) 8.89890e8 + 2.14838e9i 0.0960592 + 0.231907i
\(165\) −8.10575e9 3.35751e9i −0.851364 0.352647i
\(166\) 4.96648e9i 0.507647i
\(167\) 3.36501e8 8.12385e8i 0.0334782 0.0808236i −0.906256 0.422729i \(-0.861072\pi\)
0.939734 + 0.341905i \(0.111072\pi\)
\(168\) −7.48858e9 + 7.48858e9i −0.725283 + 0.725283i
\(169\) 5.83530e9 0.550267
\(170\) 4.93736e9 + 1.43741e9i 0.453392 + 0.131996i
\(171\) 6.33977e9 0.567011
\(172\) −1.81644e9 + 1.81644e9i −0.158250 + 0.158250i
\(173\) −7.31181e8 + 1.76523e9i −0.0620608 + 0.149828i −0.951868 0.306509i \(-0.900839\pi\)
0.889807 + 0.456337i \(0.150839\pi\)
\(174\) 1.00938e10i 0.834805i
\(175\) −8.73276e9 3.61723e9i −0.703850 0.291544i
\(176\) 3.99049e9 + 9.63390e9i 0.313487 + 0.756825i
\(177\) −4.60775e9 + 1.90859e9i −0.352866 + 0.146162i
\(178\) 8.68090e9 + 8.68090e9i 0.648149 + 0.648149i
\(179\) −1.45188e10 1.45188e10i −1.05704 1.05704i −0.998272 0.0587698i \(-0.981282\pi\)
−0.0587698 0.998272i \(-0.518718\pi\)
\(180\) 1.31547e9 5.44887e8i 0.0934020 0.0386884i
\(181\) 5.04127e9 + 1.21707e10i 0.349129 + 0.842872i 0.996723 + 0.0808867i \(0.0257752\pi\)
−0.647594 + 0.761985i \(0.724225\pi\)
\(182\) −8.62672e9 3.57330e9i −0.582806 0.241406i
\(183\) 7.03573e9i 0.463745i
\(184\) 7.98579e9 1.92794e10i 0.513615 1.23998i
\(185\) −6.35241e9 + 6.35241e9i −0.398718 + 0.398718i
\(186\) −7.35942e9 −0.450853
\(187\) −9.06033e9 + 3.11213e10i −0.541822 + 1.86110i
\(188\) −4.12866e9 −0.241045
\(189\) 1.64643e10 1.64643e10i 0.938568 0.938568i
\(190\) 4.58311e9 1.10646e10i 0.255134 0.615949i
\(191\) 2.69258e10i 1.46392i −0.681345 0.731962i \(-0.738605\pi\)
0.681345 0.731962i \(-0.261395\pi\)
\(192\) 1.35292e10 + 5.60397e9i 0.718482 + 0.297605i
\(193\) −6.07148e9 1.46578e10i −0.314983 0.760435i −0.999506 0.0314438i \(-0.989989\pi\)
0.684523 0.728991i \(-0.260011\pi\)
\(194\) 1.46657e10 6.07472e9i 0.743352 0.307906i
\(195\) −4.55178e9 4.55178e9i −0.225437 0.225437i
\(196\) 2.98448e9 + 2.98448e9i 0.144450 + 0.144450i
\(197\) −5.41819e9 + 2.24429e9i −0.256304 + 0.106165i −0.507136 0.861866i \(-0.669296\pi\)
0.250832 + 0.968031i \(0.419296\pi\)
\(198\) −4.95042e9 1.19514e10i −0.228902 0.552618i
\(199\) −2.98791e10 1.23763e10i −1.35060 0.559439i −0.414144 0.910212i \(-0.635919\pi\)
−0.936461 + 0.350773i \(0.885919\pi\)
\(200\) 1.52513e10i 0.674019i
\(201\) 2.09327e9 5.05360e9i 0.0904571 0.218383i
\(202\) −1.34524e7 + 1.34524e7i −0.000568486 + 0.000568486i
\(203\) −4.16021e10 −1.71942
\(204\) 3.77210e9 + 6.87046e9i 0.152492 + 0.277748i
\(205\) −9.52343e9 −0.376618
\(206\) −1.39369e10 + 1.39369e10i −0.539218 + 0.539218i
\(207\) −5.03081e9 + 1.21455e10i −0.190446 + 0.459777i
\(208\) 7.65078e9i 0.283413i
\(209\) 6.97428e10 + 2.88884e10i 2.52837 + 1.04729i
\(210\) −4.82304e9 1.16439e10i −0.171133 0.413152i
\(211\) 2.44637e10 1.01332e10i 0.849672 0.351946i 0.0850120 0.996380i \(-0.472907\pi\)
0.764660 + 0.644434i \(0.222907\pi\)
\(212\) −1.04981e10 1.04981e10i −0.356944 0.356944i
\(213\) 2.26583e10 + 2.26583e10i 0.754258 + 0.754258i
\(214\) 1.73963e10 7.20580e9i 0.567017 0.234866i
\(215\) −4.02600e9 9.71961e9i −0.128499 0.310224i
\(216\) −3.47093e10 1.43770e10i −1.08493 0.449394i
\(217\) 3.03321e10i 0.928610i
\(218\) 1.09922e6 2.65374e6i 3.29632e−5 7.95801e-5i
\(219\) −5.09001e9 + 5.09001e9i −0.149527 + 0.149527i
\(220\) 1.69542e10 0.487950
\(221\) −1.48796e10 + 1.85517e10i −0.419592 + 0.523140i
\(222\) 1.97361e10 0.545348
\(223\) −4.35511e10 + 4.35511e10i −1.17931 + 1.17931i −0.199388 + 0.979921i \(0.563895\pi\)
−0.979921 + 0.199388i \(0.936105\pi\)
\(224\) 1.33876e10 3.23205e10i 0.355292 0.857752i
\(225\) 9.60788e9i 0.249923i
\(226\) −1.09996e10 4.55619e9i −0.280472 0.116175i
\(227\) −1.47777e10 3.56766e10i −0.369395 0.891799i −0.993850 0.110738i \(-0.964679\pi\)
0.624454 0.781061i \(-0.285321\pi\)
\(228\) 1.68645e10 6.98549e9i 0.413300 0.171195i
\(229\) 2.03005e10 + 2.03005e10i 0.487806 + 0.487806i 0.907613 0.419807i \(-0.137902\pi\)
−0.419807 + 0.907613i \(0.637902\pi\)
\(230\) 1.75602e10 + 1.75602e10i 0.413766 + 0.413766i
\(231\) 7.33940e10 3.04008e10i 1.69592 0.702475i
\(232\) 2.56877e10 + 6.20157e10i 0.582144 + 1.40542i
\(233\) 8.07535e9 + 3.34492e9i 0.179498 + 0.0743505i 0.470623 0.882335i \(-0.344029\pi\)
−0.291124 + 0.956685i \(0.594029\pi\)
\(234\) 9.49120e9i 0.206943i
\(235\) 6.47061e9 1.56214e10i 0.138401 0.334130i
\(236\) 6.81489e9 6.81489e9i 0.143006 0.143006i
\(237\) −5.16365e10 −1.06314
\(238\) −4.08147e10 + 2.24085e10i −0.824556 + 0.452707i
\(239\) −3.56000e10 −0.705765 −0.352882 0.935668i \(-0.614798\pi\)
−0.352882 + 0.935668i \(0.614798\pi\)
\(240\) −7.30200e9 + 7.30200e9i −0.142066 + 0.142066i
\(241\) −5.20146e9 + 1.25574e10i −0.0993227 + 0.239786i −0.965728 0.259554i \(-0.916424\pi\)
0.866406 + 0.499341i \(0.166424\pi\)
\(242\) 1.13037e11i 2.11861i
\(243\) 3.74663e10 + 1.55190e10i 0.689307 + 0.285520i
\(244\) 5.20294e9 + 1.25610e10i 0.0939711 + 0.226866i
\(245\) −1.59697e10 + 6.61485e9i −0.283171 + 0.117293i
\(246\) 1.47940e10 + 1.47940e10i 0.257560 + 0.257560i
\(247\) 3.91641e10 + 3.91641e10i 0.669502 + 0.669502i
\(248\) 4.52156e10 1.87289e10i 0.759025 0.314399i
\(249\) −1.18637e10 2.86416e10i −0.195580 0.472172i
\(250\) −4.37138e10 1.81068e10i −0.707764 0.293165i
\(251\) 4.34080e10i 0.690300i 0.938548 + 0.345150i \(0.112172\pi\)
−0.938548 + 0.345150i \(0.887828\pi\)
\(252\) −4.93371e9 + 1.19110e10i −0.0770676 + 0.186058i
\(253\) −1.10686e11 + 1.10686e11i −1.69845 + 1.69845i
\(254\) 4.82232e9 0.0726949
\(255\) −3.19073e10 + 3.50466e9i −0.472562 + 0.0519056i
\(256\) −6.83418e10 −0.994504
\(257\) 7.16173e10 7.16173e10i 1.02404 1.02404i 0.0243402 0.999704i \(-0.492251\pi\)
0.999704 0.0243402i \(-0.00774850\pi\)
\(258\) −8.84467e9 + 2.13529e10i −0.124278 + 0.300033i
\(259\) 8.13430e10i 1.12324i
\(260\) 1.14924e10 + 4.76032e9i 0.155967 + 0.0646035i
\(261\) −1.61825e10 3.90680e10i −0.215856 0.521122i
\(262\) 3.86693e10 1.60174e10i 0.507003 0.210008i
\(263\) −3.03609e10 3.03609e10i −0.391304 0.391304i 0.483848 0.875152i \(-0.339239\pi\)
−0.875152 + 0.483848i \(0.839239\pi\)
\(264\) −9.06361e10 9.06361e10i −1.14837 1.14837i
\(265\) 5.61744e10 2.32682e10i 0.699733 0.289839i
\(266\) 4.14980e10 + 1.00185e11i 0.508230 + 1.22698i
\(267\) −7.07992e10 2.93260e10i −0.852566 0.353144i
\(268\) 1.05703e10i 0.125164i
\(269\) 3.62306e10 8.74684e10i 0.421881 1.01851i −0.559911 0.828553i \(-0.689165\pi\)
0.981792 0.189959i \(-0.0608354\pi\)
\(270\) 3.16142e10 3.16142e10i 0.362030 0.362030i
\(271\) −5.24783e10 −0.591041 −0.295521 0.955336i \(-0.595493\pi\)
−0.295521 + 0.955336i \(0.595493\pi\)
\(272\) 2.97607e10 + 2.38700e10i 0.329673 + 0.264419i
\(273\) 5.82859e10 0.635085
\(274\) −1.04158e10 + 1.04158e10i −0.111639 + 0.111639i
\(275\) 4.37802e10 1.05695e11i 0.461616 1.11444i
\(276\) 3.78514e10i 0.392637i
\(277\) −1.85445e10 7.68138e9i −0.189259 0.0783936i 0.286041 0.958217i \(-0.407661\pi\)
−0.475300 + 0.879824i \(0.657661\pi\)
\(278\) 3.92002e10 + 9.46376e10i 0.393628 + 0.950303i
\(279\) −2.84845e10 + 1.17987e10i −0.281443 + 0.116577i
\(280\) 5.92647e10 + 5.92647e10i 0.576216 + 0.576216i
\(281\) 1.19423e10 + 1.19423e10i 0.114264 + 0.114264i 0.761927 0.647663i \(-0.224254\pi\)
−0.647663 + 0.761927i \(0.724254\pi\)
\(282\) −3.43186e10 + 1.42152e10i −0.323153 + 0.133854i
\(283\) −5.02585e9 1.21335e10i −0.0465769 0.112447i 0.898879 0.438197i \(-0.144383\pi\)
−0.945456 + 0.325751i \(0.894383\pi\)
\(284\) −5.72082e10 2.36964e10i −0.521826 0.216147i
\(285\) 7.47574e10i 0.671200i
\(286\) 4.32485e10 1.04411e11i 0.382230 0.922784i
\(287\) 6.09741e10 6.09741e10i 0.530490 0.530490i
\(288\) 3.55593e10 0.304570
\(289\) 2.57405e10 + 1.15761e11i 0.217059 + 0.976159i
\(290\) −7.98828e10 −0.663227
\(291\) −7.00657e10 + 7.00657e10i −0.572779 + 0.572779i
\(292\) 5.32321e9 1.28514e10i 0.0428500 0.103449i
\(293\) 2.19107e10i 0.173681i 0.996222 + 0.0868403i \(0.0276770\pi\)
−0.996222 + 0.0868403i \(0.972323\pi\)
\(294\) 3.50836e10 + 1.45321e10i 0.273868 + 0.113440i
\(295\) 1.51046e10 + 3.64658e10i 0.116121 + 0.280341i
\(296\) −1.21257e11 + 5.02263e10i −0.918109 + 0.380293i
\(297\) 1.99272e11 + 1.99272e11i 1.48608 + 1.48608i
\(298\) 3.06185e10 + 3.06185e10i 0.224911 + 0.224911i
\(299\) −1.06107e11 + 4.39508e10i −0.767755 + 0.318014i
\(300\) −1.05865e10 2.55580e10i −0.0754580 0.182172i
\(301\) 8.80068e10 + 3.64536e10i 0.617969 + 0.255971i
\(302\) 1.08386e11i 0.749793i
\(303\) 4.54453e7 1.09715e8i 0.000309740 0.000747779i
\(304\) 6.28273e10 6.28273e10i 0.421907 0.421907i
\(305\) −5.56808e10 −0.368431
\(306\) −3.69198e10 2.96120e10i −0.240721 0.193073i
\(307\) 1.46658e11 0.942289 0.471145 0.882056i \(-0.343841\pi\)
0.471145 + 0.882056i \(0.343841\pi\)
\(308\) −1.08550e11 + 1.08550e11i −0.687309 + 0.687309i
\(309\) 4.70820e10 1.13666e11i 0.293793 0.709280i
\(310\) 5.82425e10i 0.358189i
\(311\) 1.85506e11 + 7.68391e10i 1.12444 + 0.465758i 0.865887 0.500239i \(-0.166755\pi\)
0.258552 + 0.965997i \(0.416755\pi\)
\(312\) −3.59894e10 8.68861e10i −0.215020 0.519104i
\(313\) −1.33244e11 + 5.51913e10i −0.784688 + 0.325028i −0.738806 0.673919i \(-0.764610\pi\)
−0.0458820 + 0.998947i \(0.514610\pi\)
\(314\) −2.51948e10 2.51948e10i −0.146261 0.146261i
\(315\) −3.73350e10 3.73350e10i −0.213658 0.213658i
\(316\) 9.21874e10 3.81853e10i 0.520092 0.215429i
\(317\) −1.03137e11 2.48994e11i −0.573650 1.38491i −0.898427 0.439123i \(-0.855289\pi\)
0.324777 0.945791i \(-0.394711\pi\)
\(318\) −1.23409e11 5.11177e10i −0.676745 0.280317i
\(319\) 5.03520e11i 2.72244i
\(320\) 4.43498e10 1.07070e11i 0.236438 0.570812i
\(321\) −8.31114e10 + 8.31114e10i −0.436906 + 0.436906i
\(322\) −2.24860e11 −1.16563
\(323\) 2.74534e11 3.01545e10i 1.40341 0.154149i
\(324\) 3.55145e10 0.179041
\(325\) 5.93528e10 5.93528e10i 0.295098 0.295098i
\(326\) −1.01877e11 + 2.45953e11i −0.499572 + 1.20607i
\(327\) 1.79299e7i 8.67185e-5i
\(328\) −1.28543e11 5.32441e10i −0.613218 0.254003i
\(329\) 5.85885e10 + 1.41445e11i 0.275696 + 0.665590i
\(330\) 1.40928e11 5.83744e10i 0.654162 0.270963i
\(331\) −1.26092e11 1.26092e11i −0.577380 0.577380i 0.356801 0.934181i \(-0.383868\pi\)
−0.934181 + 0.356801i \(0.883868\pi\)
\(332\) 4.23611e10 + 4.23611e10i 0.191357 + 0.191357i
\(333\) 7.63883e10 3.16411e10i 0.340430 0.141011i
\(334\) 5.85048e9 + 1.41243e10i 0.0257236 + 0.0621024i
\(335\) −3.99942e10 1.65662e10i −0.173499 0.0718654i
\(336\) 9.35026e10i 0.400218i
\(337\) −3.18965e10 + 7.70051e10i −0.134713 + 0.325226i −0.976813 0.214096i \(-0.931319\pi\)
0.842100 + 0.539322i \(0.181319\pi\)
\(338\) −7.17387e10 + 7.17387e10i −0.298971 + 0.298971i
\(339\) 7.43183e10 0.305631
\(340\) 5.43729e10 2.98524e10i 0.220662 0.121150i
\(341\) −3.67116e11 −1.47031
\(342\) −7.79406e10 + 7.79406e10i −0.308068 + 0.308068i
\(343\) −6.02004e10 + 1.45337e11i −0.234842 + 0.566958i
\(344\) 1.53699e11i 0.591778i
\(345\) −1.43217e11 5.93224e10i −0.544262 0.225441i
\(346\) −1.27125e10 3.06906e10i −0.0476857 0.115123i
\(347\) −2.22564e11 + 9.21890e10i −0.824086 + 0.341347i −0.754559 0.656233i \(-0.772149\pi\)
−0.0695270 + 0.997580i \(0.522149\pi\)
\(348\) −8.60944e10 8.60944e10i −0.314679 0.314679i
\(349\) −7.37872e10 7.37872e10i −0.266236 0.266236i 0.561346 0.827581i \(-0.310284\pi\)
−0.827581 + 0.561346i \(0.810284\pi\)
\(350\) 1.51830e11 6.28899e10i 0.540817 0.224014i
\(351\) 7.91259e10 + 1.91027e11i 0.278251 + 0.671757i
\(352\) 3.91183e11 + 1.62033e11i 1.35812 + 0.562551i
\(353\) 3.30958e11i 1.13445i 0.823562 + 0.567226i \(0.191983\pi\)
−0.823562 + 0.567226i \(0.808017\pi\)
\(354\) 3.31832e10 8.01114e10i 0.112306 0.271131i
\(355\) 1.79318e11 1.79318e11i 0.599235 0.599235i
\(356\) 1.48086e11 0.488639
\(357\) 1.81849e11 2.26726e11i 0.592521 0.738746i
\(358\) 3.56986e11 1.14862
\(359\) −7.22092e10 + 7.22092e10i −0.229439 + 0.229439i −0.812458 0.583019i \(-0.801871\pi\)
0.583019 + 0.812458i \(0.301871\pi\)
\(360\) −3.26018e10 + 7.87078e10i −0.102301 + 0.246977i
\(361\) 3.20534e11i 0.993325i
\(362\) −2.11602e11 8.76486e10i −0.647637 0.268260i
\(363\) 2.70019e11 + 6.51883e11i 0.816233 + 1.97056i
\(364\) −1.04059e11 + 4.31026e10i −0.310687 + 0.128691i
\(365\) 4.02824e10 + 4.02824e10i 0.118795 + 0.118795i
\(366\) 8.64966e10 + 8.64966e10i 0.251962 + 0.251962i
\(367\) −3.34308e11 + 1.38475e11i −0.961943 + 0.398450i −0.807707 0.589584i \(-0.799292\pi\)
−0.154236 + 0.988034i \(0.549292\pi\)
\(368\) 7.05062e10 + 1.70217e11i 0.200407 + 0.483825i
\(369\) 8.09780e10 + 3.35422e10i 0.227378 + 0.0941830i
\(370\) 1.56192e11i 0.433262i
\(371\) −2.10683e11 + 5.08635e11i −0.577361 + 1.39387i
\(372\) −6.27714e10 + 6.27714e10i −0.169949 + 0.169949i
\(373\) −6.15278e9 −0.0164582 −0.00822908 0.999966i \(-0.502619\pi\)
−0.00822908 + 0.999966i \(0.502619\pi\)
\(374\) −2.71216e11 4.93990e11i −0.716792 1.30556i
\(375\) 2.95350e11 0.771251
\(376\) 1.74674e11 1.74674e11i 0.450696 0.450696i
\(377\) 1.41376e11 3.41311e11i 0.360445 0.870191i
\(378\) 4.04822e11i 1.01988i
\(379\) −2.00552e11 8.30712e10i −0.499286 0.206811i 0.118805 0.992918i \(-0.462094\pi\)
−0.618091 + 0.786106i \(0.712094\pi\)
\(380\) −5.52833e10 1.33466e11i −0.136009 0.328355i
\(381\) −2.78102e10 + 1.15194e10i −0.0676148 + 0.0280070i
\(382\) 3.31024e11 + 3.31024e11i 0.795379 + 0.795379i
\(383\) 2.08716e11 + 2.08716e11i 0.495633 + 0.495633i 0.910076 0.414442i \(-0.136023\pi\)
−0.414442 + 0.910076i \(0.636023\pi\)
\(384\) −4.28921e9 + 1.77665e9i −0.0100667 + 0.00416976i
\(385\) −2.40592e11 5.80841e11i −0.558095 1.34736i
\(386\) 2.54844e11 + 1.05560e11i 0.584295 + 0.242023i
\(387\) 9.68260e10i 0.219428i
\(388\) 7.32757e10 1.76903e11i 0.164141 0.396271i
\(389\) 6.58559e10 6.58559e10i 0.145822 0.145822i −0.630427 0.776249i \(-0.717120\pi\)
0.776249 + 0.630427i \(0.217120\pi\)
\(390\) 1.11918e11 0.244969
\(391\) −1.60083e11 + 5.49869e11i −0.346378 + 1.18977i
\(392\) −2.52533e11 −0.540171
\(393\) −1.84744e11 + 1.84744e11i −0.390664 + 0.390664i
\(394\) 3.90197e10 9.42018e10i 0.0815738 0.196936i
\(395\) 4.08651e11i 0.844629i
\(396\) −1.44162e11 5.97139e10i −0.294593 0.122025i
\(397\) −3.00906e11 7.26451e11i −0.607958 1.46774i −0.865217 0.501397i \(-0.832820\pi\)
0.257260 0.966342i \(-0.417180\pi\)
\(398\) 5.19484e11 2.15177e11i 1.03776 0.429856i
\(399\) −4.78637e11 4.78637e11i −0.945427 0.945427i
\(400\) −9.52142e10 9.52142e10i −0.185965 0.185965i
\(401\) −4.46394e11 + 1.84902e11i −0.862121 + 0.357102i −0.769537 0.638603i \(-0.779513\pi\)
−0.0925843 + 0.995705i \(0.529513\pi\)
\(402\) 3.63940e10 + 8.78630e10i 0.0695045 + 0.167799i
\(403\) −2.48850e11 1.03077e11i −0.469965 0.194666i
\(404\) 2.29482e8i 0.000428581i
\(405\) −5.56598e10 + 1.34375e11i −0.102800 + 0.248182i
\(406\) 5.11453e11 5.11453e11i 0.934197 0.934197i
\(407\) 9.84514e11 1.77847
\(408\) −4.50263e11 1.31085e11i −0.804443 0.234197i
\(409\) 4.74605e11 0.838643 0.419321 0.907838i \(-0.362268\pi\)
0.419321 + 0.907838i \(0.362268\pi\)
\(410\) 1.17080e11 1.17080e11i 0.204624 0.204624i
\(411\) 3.51870e10 8.49488e10i 0.0608266 0.146848i
\(412\) 2.37747e11i 0.406516i
\(413\) −3.30182e11 1.36766e11i −0.558441 0.231314i
\(414\) −8.74668e10 2.11164e11i −0.146333 0.353279i
\(415\) −2.26670e11 + 9.38897e10i −0.375126 + 0.155382i
\(416\) 2.19668e11 + 2.19668e11i 0.359623 + 0.359623i
\(417\) −4.52134e11 4.52134e11i −0.732242 0.732242i
\(418\) −1.21256e12 + 5.02261e11i −1.94273 + 0.804703i
\(419\) 4.66723e10 + 1.12677e11i 0.0739768 + 0.178596i 0.956542 0.291594i \(-0.0941855\pi\)
−0.882565 + 0.470190i \(0.844186\pi\)
\(420\) −1.40453e11 5.81774e10i −0.220246 0.0912289i
\(421\) 4.38690e11i 0.680594i 0.940318 + 0.340297i \(0.110528\pi\)
−0.940318 + 0.340297i \(0.889472\pi\)
\(422\) −1.76178e11 + 4.25331e11i −0.270424 + 0.652862i
\(423\) −1.10040e11 + 1.10040e11i −0.167116 + 0.167116i
\(424\) 8.88304e11 1.33480
\(425\) −4.56989e10 4.16054e11i −0.0679446 0.618586i
\(426\) −5.57119e11 −0.819606
\(427\) 3.56499e11 3.56499e11i 0.518958 0.518958i
\(428\) 8.69191e10 2.09841e11i 0.125204 0.302269i
\(429\) 7.05448e11i 1.00556i
\(430\) 1.68987e11 + 6.99968e10i 0.238367 + 0.0987348i
\(431\) −1.68399e11 4.06551e11i −0.235067 0.567503i 0.761693 0.647939i \(-0.224369\pi\)
−0.996760 + 0.0804361i \(0.974369\pi\)
\(432\) 3.06446e11 1.26934e11i 0.423329 0.175349i
\(433\) −8.27028e11 8.27028e11i −1.13064 1.13064i −0.990071 0.140570i \(-0.955106\pi\)
−0.140570 0.990071i \(-0.544894\pi\)
\(434\) −3.72900e11 3.72900e11i −0.504532 0.504532i
\(435\) 4.60683e11 1.90821e11i 0.616879 0.255520i
\(436\) −1.32592e7 3.20105e7i −1.75722e−5 4.24231e-5i
\(437\) 1.23225e12 + 5.10417e11i 1.61635 + 0.669512i
\(438\) 1.25152e11i 0.162482i
\(439\) −1.93458e11 + 4.67049e11i −0.248598 + 0.600168i −0.998085 0.0618505i \(-0.980300\pi\)
0.749488 + 0.662018i \(0.230300\pi\)
\(440\) −7.17295e11 + 7.17295e11i −0.912348 + 0.912348i
\(441\) 1.59088e11 0.200293
\(442\) −4.51439e10 4.11002e11i −0.0562599 0.512205i
\(443\) 6.65355e11 0.820799 0.410399 0.911906i \(-0.365389\pi\)
0.410399 + 0.911906i \(0.365389\pi\)
\(444\) 1.68337e11 1.68337e11i 0.205569 0.205569i
\(445\) −2.32086e11 + 5.60306e11i −0.280562 + 0.677337i
\(446\) 1.07083e12i 1.28148i
\(447\) −2.49717e11 1.03436e11i −0.295845 0.122543i
\(448\) 4.01568e11 + 9.69471e11i 0.470986 + 1.13706i
\(449\) 1.05800e12 4.38236e11i 1.22850 0.508862i 0.328398 0.944539i \(-0.393491\pi\)
0.900103 + 0.435678i \(0.143491\pi\)
\(450\) 1.18118e11 + 1.18118e11i 0.135788 + 0.135788i
\(451\) 7.37984e11 + 7.37984e11i 0.839948 + 0.839948i
\(452\) −1.32682e11 + 5.49586e10i −0.149516 + 0.0619316i
\(453\) −2.58908e11 6.25060e11i −0.288871 0.697396i
\(454\) 6.20281e11 + 2.56929e11i 0.685231 + 0.283832i
\(455\) 4.61275e11i 0.504555i
\(456\) −4.17957e11 + 1.00904e12i −0.452679 + 1.09286i
\(457\) −2.70834e11 + 2.70834e11i −0.290456 + 0.290456i −0.837260 0.546805i \(-0.815844\pi\)
0.546805 + 0.837260i \(0.315844\pi\)
\(458\) −4.99146e11 −0.530069
\(459\) 9.89944e11 + 2.88202e11i 1.04101 + 0.303068i
\(460\) 2.99556e11 0.311938
\(461\) 6.95684e11 6.95684e11i 0.717395 0.717395i −0.250676 0.968071i \(-0.580653\pi\)
0.968071 + 0.250676i \(0.0806530\pi\)
\(462\) −5.28555e11 + 1.27604e12i −0.539760 + 1.30310i
\(463\) 1.35928e12i 1.37466i 0.726347 + 0.687328i \(0.241216\pi\)
−0.726347 + 0.687328i \(0.758784\pi\)
\(464\) −5.47534e11 2.26796e11i −0.548378 0.227146i
\(465\) −1.39128e11 3.35884e11i −0.137999 0.333158i
\(466\) −1.40400e11 + 5.81555e10i −0.137921 + 0.0571287i
\(467\) −1.17021e12 1.17021e12i −1.13851 1.13851i −0.988717 0.149792i \(-0.952140\pi\)
−0.149792 0.988717i \(-0.547860\pi\)
\(468\) −8.09542e10 8.09542e10i −0.0780069 0.0780069i
\(469\) 3.62130e11 1.49999e11i 0.345610 0.143157i
\(470\) 1.12499e11 + 2.71598e11i 0.106343 + 0.256735i
\(471\) 2.05483e11 + 8.51137e10i 0.192389 + 0.0796902i
\(472\) 5.76645e11i 0.534773i
\(473\) −4.41207e11 + 1.06517e12i −0.405291 + 0.978459i
\(474\) 6.34814e11 6.34814e11i 0.577623 0.577623i
\(475\) −9.74797e11 −0.878603
\(476\) −1.56993e11 + 5.39256e11i −0.140168 + 0.481464i
\(477\) −5.59605e11 −0.494936
\(478\) 4.37664e11 4.37664e11i 0.383456 0.383456i
\(479\) −3.05029e11 + 7.36406e11i −0.264748 + 0.639157i −0.999220 0.0394811i \(-0.987430\pi\)
0.734473 + 0.678638i \(0.237430\pi\)
\(480\) 4.19309e11i 0.360536i
\(481\) 6.67354e11 + 2.76427e11i 0.568464 + 0.235466i
\(482\) −9.04337e10 2.18326e11i −0.0763165 0.184244i
\(483\) 1.29677e12 5.37138e11i 1.08417 0.449080i
\(484\) −9.64138e11 9.64138e11i −0.798610 0.798610i
\(485\) 5.54500e11 + 5.54500e11i 0.455055 + 0.455055i
\(486\) −6.51397e11 + 2.69818e11i −0.529642 + 0.219385i
\(487\) 4.23825e11 + 1.02321e12i 0.341434 + 0.824295i 0.997571 + 0.0696530i \(0.0221892\pi\)
−0.656137 + 0.754642i \(0.727811\pi\)
\(488\) −7.51552e11 3.11303e11i −0.599888 0.248482i
\(489\) 1.66177e12i 1.31426i
\(490\) 1.15007e11 2.77652e11i 0.0901244 0.217580i
\(491\) 1.11740e12 1.11740e12i 0.867646 0.867646i −0.124565 0.992211i \(-0.539754\pi\)
0.992211 + 0.124565i \(0.0397536\pi\)
\(492\) 2.52368e11 0.194174
\(493\) −8.86582e11 1.61481e12i −0.675939 1.23115i
\(494\) −9.62960e11 −0.727506
\(495\) 4.51874e11 4.51874e11i 0.338294 0.338294i
\(496\) −1.65357e11 + 3.99207e11i −0.122675 + 0.296163i
\(497\) 2.29619e12i 1.68812i
\(498\) 4.97969e11 + 2.06266e11i 0.362803 + 0.150278i
\(499\) −8.33811e11 2.01300e12i −0.602026 1.45342i −0.871492 0.490409i \(-0.836847\pi\)
0.269467 0.963010i \(-0.413153\pi\)
\(500\) −5.27293e11 + 2.18412e11i −0.377300 + 0.156283i
\(501\) −6.74793e10 6.74793e10i −0.0478521 0.0478521i
\(502\) −5.33654e11 5.33654e11i −0.375053 0.375053i
\(503\) 3.08095e11 1.27617e11i 0.214600 0.0888901i −0.272794 0.962072i \(-0.587948\pi\)
0.487394 + 0.873182i \(0.337948\pi\)
\(504\) −2.95195e11 7.12664e11i −0.203785 0.491980i
\(505\) −8.68283e8 3.59655e8i −0.000594087 0.000246079i
\(506\) 2.72154e12i 1.84560i
\(507\) 2.42349e11 5.85083e11i 0.162894 0.393262i
\(508\) 4.11314e10 4.11314e10i 0.0274023 0.0274023i
\(509\) −4.61088e11 −0.304477 −0.152238 0.988344i \(-0.548648\pi\)
−0.152238 + 0.988344i \(0.548648\pi\)
\(510\) 3.49179e11 4.35351e11i 0.228551 0.284954i
\(511\) −5.15819e11 −0.334660
\(512\) 8.55675e11 8.55675e11i 0.550293 0.550293i
\(513\) 9.18917e11 2.21846e12i 0.585798 1.41424i
\(514\) 1.76091e12i 1.11277i
\(515\) −8.99554e11 3.72607e11i −0.563501 0.233410i
\(516\) 1.06688e11 + 2.57567e11i 0.0662509 + 0.159944i
\(517\) −1.71195e12 + 7.09111e11i −1.05386 + 0.436523i
\(518\) 1.00002e12 + 1.00002e12i 0.610277 + 0.610277i
\(519\) 1.46625e11 + 1.46625e11i 0.0887066 + 0.0887066i
\(520\) −6.87617e11 + 2.84820e11i −0.412412 + 0.170827i
\(521\) −2.88167e11 6.95697e11i −0.171346 0.413667i 0.814756 0.579803i \(-0.196871\pi\)
−0.986103 + 0.166137i \(0.946871\pi\)
\(522\) 6.79246e11 + 2.81353e11i 0.400414 + 0.165857i
\(523\) 3.35856e12i 1.96289i 0.191742 + 0.981445i \(0.438586\pi\)
−0.191742 + 0.981445i \(0.561414\pi\)
\(524\) 1.93208e11 4.66444e11i 0.111952 0.270277i
\(525\) −7.25370e11 + 7.25370e11i −0.416719 + 0.416719i
\(526\) 7.46509e11 0.425206
\(527\) −1.17736e12 + 6.46407e11i −0.664907 + 0.365055i
\(528\) 1.13168e12 0.633684
\(529\) −6.82060e11 + 6.82060e11i −0.378680 + 0.378680i
\(530\) −4.04546e11 + 9.76661e11i −0.222703 + 0.537654i
\(531\) 3.63269e11i 0.198291i
\(532\) 1.20847e12 + 5.00565e11i 0.654085 + 0.270931i
\(533\) 2.93036e11 + 7.07450e11i 0.157271 + 0.379685i
\(534\) 1.23093e12 5.09868e11i 0.655086 0.271345i
\(535\) 6.57745e11 + 6.57745e11i 0.347109 + 0.347109i
\(536\) −4.47204e11 4.47204e11i −0.234026 0.234026i
\(537\) −2.05873e12 + 8.52754e11i −1.06835 + 0.442527i
\(538\) 6.29913e11 + 1.52075e12i 0.324161 + 0.782593i
\(539\) 1.75011e12 + 7.24918e11i 0.893130 + 0.369947i
\(540\) 5.39300e11i 0.272934i
\(541\) −2.65833e10 + 6.41777e10i −0.0133420 + 0.0322104i −0.930410 0.366520i \(-0.880549\pi\)
0.917068 + 0.398730i \(0.130549\pi\)
\(542\) 6.45163e11 6.45163e11i 0.321124 0.321124i
\(543\) 1.42968e12 0.705731
\(544\) 1.53984e12 1.69134e11i 0.753843 0.0828012i
\(545\) 1.41897e8 6.88952e−5
\(546\) −7.16562e11 + 7.16562e11i −0.345054 + 0.345054i
\(547\) 3.36166e11 8.11577e11i 0.160550 0.387603i −0.823049 0.567970i \(-0.807729\pi\)
0.983599 + 0.180368i \(0.0577288\pi\)
\(548\) 1.77681e11i 0.0841646i
\(549\) 4.73456e11 + 1.96112e11i 0.222435 + 0.0921357i
\(550\) 7.61172e11 + 1.83763e12i 0.354691 + 0.856301i
\(551\) −3.96377e12 + 1.64185e12i −1.83200 + 0.758841i
\(552\) −1.60141e12 1.60141e12i −0.734136 0.734136i
\(553\) −2.61641e12 2.61641e12i −1.18971 1.18971i
\(554\) 3.22419e11 1.33550e11i 0.145421 0.0602352i
\(555\) 3.73105e11 + 9.00756e11i 0.166922 + 0.402985i
\(556\) 1.14156e12 + 4.72848e11i 0.506594 + 0.209838i
\(557\) 8.34158e11i 0.367198i 0.983001 + 0.183599i \(0.0587748\pi\)
−0.983001 + 0.183599i \(0.941225\pi\)
\(558\) 2.05134e11 4.95238e11i 0.0895745 0.216252i
\(559\) −5.98144e11 + 5.98144e11i −0.259091 + 0.259091i
\(560\) −7.39981e11 −0.317961
\(561\) 2.74412e12 + 2.20096e12i 1.16969 + 0.938166i
\(562\) −2.93635e11 −0.124164
\(563\) 1.89101e12 1.89101e12i 0.793241 0.793241i −0.188779 0.982020i \(-0.560453\pi\)
0.982020 + 0.188779i \(0.0604528\pi\)
\(564\) −1.71470e11 + 4.13964e11i −0.0713561 + 0.172269i
\(565\) 5.88156e11i 0.242814i
\(566\) 2.10955e11 + 8.73806e10i 0.0864006 + 0.0357883i
\(567\) −5.03975e11 1.21670e12i −0.204779 0.494380i
\(568\) 3.42289e12 1.41781e12i 1.37983 0.571545i
\(569\) 2.71383e12 + 2.71383e12i 1.08537 + 1.08537i 0.995999 + 0.0893699i \(0.0284853\pi\)
0.0893699 + 0.995999i \(0.471515\pi\)
\(570\) −9.19061e11 9.19061e11i −0.364676 0.364676i
\(571\) 2.41681e12 1.00107e12i 0.951436 0.394098i 0.147666 0.989037i \(-0.452824\pi\)
0.803770 + 0.594940i \(0.202824\pi\)
\(572\) −5.21681e11 1.25945e12i −0.203762 0.491924i
\(573\) −2.69975e12 1.11827e12i −1.04623 0.433363i
\(574\) 1.49922e12i 0.576451i
\(575\) 7.73532e11 1.86747e12i 0.295103 0.712441i
\(576\) −7.54216e11 + 7.54216e11i −0.285492 + 0.285492i
\(577\) 2.98202e12 1.12000 0.560002 0.828492i \(-0.310800\pi\)
0.560002 + 0.828492i \(0.310800\pi\)
\(578\) −1.73960e12 1.10670e12i −0.648298 0.412434i
\(579\) −1.72184e12 −0.636707
\(580\) −6.81352e11 + 6.81352e11i −0.250003 + 0.250003i
\(581\) 8.50130e11 2.05240e12i 0.309523 0.747254i
\(582\) 1.72276e12i 0.622403i
\(583\) −6.15613e12 2.54995e12i −2.20698 0.914163i
\(584\) 3.18499e11 + 7.68925e11i 0.113305 + 0.273543i
\(585\) 4.33178e11 1.79428e11i 0.152920 0.0633417i
\(586\) −2.69368e11 2.69368e11i −0.0943640 0.0943640i
\(587\) 2.13771e11 + 2.13771e11i 0.0743151 + 0.0743151i 0.743287 0.668972i \(-0.233266\pi\)
−0.668972 + 0.743287i \(0.733266\pi\)
\(588\) 4.23192e11 1.75292e11i 0.145995 0.0604733i
\(589\) 1.19707e12 + 2.88998e12i 0.409827 + 0.989411i
\(590\) −6.34002e11 2.62612e11i −0.215406 0.0892239i
\(591\) 6.36469e11i 0.214602i
\(592\) 4.43446e11 1.07057e12i 0.148386 0.358235i
\(593\) −2.00252e12 + 2.00252e12i −0.665014 + 0.665014i −0.956557 0.291544i \(-0.905831\pi\)
0.291544 + 0.956557i \(0.405831\pi\)
\(594\) −4.89966e12 −1.61483
\(595\) −1.79431e12 1.43915e12i −0.586911 0.470740i
\(596\) 5.22315e11 0.169561
\(597\) −2.48185e12 + 2.48185e12i −0.799633 + 0.799633i
\(598\) 7.64139e11 1.84480e12i 0.244353 0.589920i
\(599\) 1.12962e12i 0.358519i 0.983802 + 0.179260i \(0.0573702\pi\)
−0.983802 + 0.179260i \(0.942630\pi\)
\(600\) 1.52919e12 + 6.33411e11i 0.481705 + 0.199529i
\(601\) −4.73282e11 1.14260e12i −0.147974 0.357241i 0.832461 0.554083i \(-0.186931\pi\)
−0.980435 + 0.196843i \(0.936931\pi\)
\(602\) −1.53011e12 + 6.33790e11i −0.474829 + 0.196681i
\(603\) 2.81725e11 + 2.81725e11i 0.0867756 + 0.0867756i
\(604\) 9.24466e11 + 9.24466e11i 0.282634 + 0.282634i
\(605\) 5.15901e12 2.13693e12i 1.56555 0.648472i
\(606\) 7.90123e8 + 1.90752e9i 0.000237995 + 0.000574571i
\(607\) 4.60284e11 + 1.90656e11i 0.137619 + 0.0570035i 0.450430 0.892812i \(-0.351271\pi\)
−0.312811 + 0.949815i \(0.601271\pi\)
\(608\) 3.60778e12i 1.07072i
\(609\) −1.72780e12 + 4.17128e12i −0.508998 + 1.22883i
\(610\) 6.84535e11 6.84535e11i 0.200176 0.200176i
\(611\) −1.35954e12 −0.394646
\(612\) −5.67477e11 + 6.23309e10i −0.163518 + 0.0179607i
\(613\) 3.80066e12 1.08714 0.543572 0.839363i \(-0.317072\pi\)
0.543572 + 0.839363i \(0.317072\pi\)
\(614\) −1.80301e12 + 1.80301e12i −0.511964 + 0.511964i
\(615\) −3.95523e11 + 9.54876e11i −0.111489 + 0.269159i
\(616\) 9.18502e12i 2.57020i
\(617\) 1.05312e12 + 4.36216e11i 0.292546 + 0.121177i 0.524130 0.851638i \(-0.324391\pi\)
−0.231584 + 0.972815i \(0.574391\pi\)
\(618\) 8.18578e11 + 1.97622e12i 0.225742 + 0.544989i
\(619\) −4.75881e12 + 1.97116e12i −1.30284 + 0.539653i −0.922786 0.385312i \(-0.874094\pi\)
−0.380051 + 0.924965i \(0.624094\pi\)
\(620\) 4.96774e11 + 4.96774e11i 0.135019 + 0.135019i
\(621\) 3.52084e12 + 3.52084e12i 0.950023 + 0.950023i
\(622\) −3.22525e12 + 1.33594e12i −0.863985 + 0.357874i
\(623\) −2.10144e12 5.07332e12i −0.558882 1.34926i
\(624\) 7.67113e11 + 3.17749e11i 0.202548 + 0.0838983i
\(625\) 3.65078e10i 0.00957030i
\(626\) 9.59568e11 2.31660e12i 0.249742 0.602930i
\(627\) 5.79306e12 5.79306e12i 1.49694 1.49694i
\(628\) −4.29793e11 −0.110266
\(629\) 3.15738e12 1.73350e12i 0.804265 0.441567i
\(630\) 9.17986e11 0.232169
\(631\) −3.52887e12 + 3.52887e12i −0.886143 + 0.886143i −0.994150 0.108007i \(-0.965553\pi\)
0.108007 + 0.994150i \(0.465553\pi\)
\(632\) −2.28471e12 + 5.51578e12i −0.569645 + 1.37524i
\(633\) 2.87373e12i 0.711424i
\(634\) 4.32907e12 + 1.79316e12i 1.06413 + 0.440775i
\(635\) 9.11644e10 + 2.20090e11i 0.0222507 + 0.0537179i
\(636\) −1.48861e12 + 6.16602e11i −0.360764 + 0.149434i
\(637\) 9.82771e11 + 9.82771e11i 0.236497 + 0.236497i
\(638\) 6.19023e12 + 6.19023e12i 1.47916 + 1.47916i
\(639\) −2.15632e12 + 8.93177e11i −0.511634 + 0.211926i
\(640\) 1.40604e10 + 3.39448e10i 0.00331274 + 0.00799767i
\(641\) −6.30908e12 2.61331e12i −1.47606 0.611406i −0.507831 0.861457i \(-0.669553\pi\)
−0.968233 + 0.250051i \(0.919553\pi\)
\(642\) 2.04353e12i 0.474759i
\(643\) 1.05335e12 2.54301e12i 0.243009 0.586676i −0.754570 0.656220i \(-0.772154\pi\)
0.997579 + 0.0695438i \(0.0221544\pi\)
\(644\) −1.91792e12 + 1.91792e12i −0.439384 + 0.439384i
\(645\) −1.14175e12 −0.259749
\(646\) −3.00438e12 + 3.74582e12i −0.678748 + 0.846253i
\(647\) 1.87923e12 0.421610 0.210805 0.977528i \(-0.432391\pi\)
0.210805 + 0.977528i \(0.432391\pi\)
\(648\) −1.50254e12 + 1.50254e12i −0.334763 + 0.334763i
\(649\) 1.65531e12 3.99627e12i 0.366250 0.884206i
\(650\) 1.45936e12i 0.320665i
\(651\) 3.04128e12 + 1.25974e12i 0.663654 + 0.274895i
\(652\) 1.22888e12 + 2.96678e12i 0.266315 + 0.642942i
\(653\) 6.82513e12 2.82706e12i 1.46893 0.608451i 0.502316 0.864684i \(-0.332481\pi\)
0.966615 + 0.256232i \(0.0824812\pi\)
\(654\) −2.20428e8 2.20428e8i −4.71159e−5 4.71159e-5i
\(655\) 1.46206e12 + 1.46206e12i 0.310370 + 0.310370i
\(656\) 1.13490e12 4.70090e11i 0.239270 0.0991090i
\(657\) −2.00645e11 4.84400e11i −0.0420130 0.101428i
\(658\) −2.45920e12 1.01863e12i −0.511419 0.211837i
\(659\) 3.71726e12i 0.767784i 0.923378 + 0.383892i \(0.125417\pi\)
−0.923378 + 0.383892i \(0.874583\pi\)
\(660\) 7.04135e11 1.69993e12i 0.144447 0.348726i
\(661\) −1.73041e12 + 1.73041e12i −0.352567 + 0.352567i −0.861064 0.508497i \(-0.830201\pi\)
0.508497 + 0.861064i \(0.330201\pi\)
\(662\) 3.10033e12 0.627403
\(663\) 1.24213e12 + 2.26240e12i 0.249664 + 0.454736i
\(664\) −3.58440e12 −0.715584
\(665\) −3.78794e12 + 3.78794e12i −0.751113 + 0.751113i
\(666\) −5.50119e11 + 1.32810e12i −0.108348 + 0.261576i
\(667\) 8.89647e12i 1.74041i
\(668\) 1.70373e11 + 7.05708e10i 0.0331060 + 0.0137129i
\(669\) 2.55795e12 + 6.17544e12i 0.493713 + 1.19193i
\(670\) 6.95349e11 2.88023e11i 0.133311 0.0552192i
\(671\) 4.31479e12 + 4.31479e12i 0.821690 + 0.821690i
\(672\) −2.68464e12 2.68464e12i −0.507837 0.507837i
\(673\) 4.75457e12 1.96941e12i 0.893395 0.370056i 0.111718 0.993740i \(-0.464365\pi\)
0.781677 + 0.623684i \(0.214365\pi\)
\(674\) −5.54560e11 1.33883e12i −0.103509 0.249894i
\(675\) −3.36206e12 1.39261e12i −0.623360 0.258204i
\(676\) 1.22378e12i 0.225394i
\(677\) −1.02778e12 + 2.48127e12i −0.188040 + 0.453968i −0.989582 0.143970i \(-0.954013\pi\)
0.801542 + 0.597938i \(0.204013\pi\)
\(678\) −9.13663e11 + 9.13663e11i −0.166055 + 0.166055i
\(679\) −7.10042e12 −1.28195
\(680\) −1.03741e12 + 3.56339e12i −0.186062 + 0.639106i
\(681\) −4.19089e12 −0.746697
\(682\) 4.51330e12 4.51330e12i 0.798848 0.798848i
\(683\) 1.35043e12 3.26023e12i 0.237454 0.573264i −0.759564 0.650432i \(-0.774588\pi\)
0.997018 + 0.0771682i \(0.0245879\pi\)
\(684\) 1.32957e12i 0.232252i
\(685\) −6.72286e11 2.78470e11i −0.116667 0.0483249i
\(686\) −1.04666e12 2.52685e12i −0.180445 0.435634i
\(687\) 2.87856e12 1.19234e12i 0.493027 0.204218i
\(688\) 9.59547e11 + 9.59547e11i 0.163274 + 0.163274i
\(689\) −3.45697e12 3.45697e12i −0.584399 0.584399i
\(690\) 2.49000e12 1.03139e12i 0.418195 0.173222i
\(691\) −1.42627e12 3.44331e12i −0.237985 0.574546i 0.759089 0.650986i \(-0.225645\pi\)
−0.997074 + 0.0764403i \(0.975645\pi\)
\(692\) −3.70202e11 1.53343e11i −0.0613708 0.0254206i
\(693\) 5.78629e12i 0.953016i
\(694\) 1.60282e12 3.86955e12i 0.262281 0.633202i
\(695\) −3.57819e12 + 3.57819e12i −0.581744 + 0.581744i
\(696\) 7.28492e12 1.17675
\(697\) 3.66617e12 + 1.06733e12i 0.588389 + 0.171297i
\(698\) 1.81427e12 0.289302
\(699\) 6.70764e11 6.70764e11i 0.106273 0.106273i
\(700\) 7.58603e11 1.83143e12i 0.119419 0.288303i
\(701\) 9.08459e12i 1.42094i −0.703730 0.710468i \(-0.748483\pi\)
0.703730 0.710468i \(-0.251517\pi\)
\(702\) −3.32123e12 1.37570e12i −0.516158 0.213800i
\(703\) −3.21024e12 7.75021e12i −0.495723 1.19678i
\(704\) −1.17337e13 + 4.86028e12i −1.80036 + 0.745734i
\(705\) −1.29757e12 1.29757e12i −0.197824 0.197824i
\(706\) −4.06876e12 4.06876e12i −0.616370 0.616370i
\(707\) 7.86192e9 3.25651e9i 0.00118343 0.000490191i
\(708\) −4.00269e11 9.66335e11i −0.0598690 0.144537i
\(709\) 1.53978e12 + 6.37799e11i 0.228850 + 0.0947929i 0.494162 0.869370i \(-0.335475\pi\)
−0.265312 + 0.964163i \(0.585475\pi\)
\(710\) 4.40905e12i 0.651152i
\(711\) 1.43930e12 3.47477e12i 0.211221 0.509933i
\(712\) −6.26517e12 + 6.26517e12i −0.913636 + 0.913636i
\(713\) −6.48642e12 −0.939944
\(714\) 5.51719e11 + 5.02299e12i 0.0794467 + 0.723303i
\(715\) 5.58293e12 0.798886
\(716\) 3.04487e12 3.04487e12i 0.432973 0.432973i
\(717\) −1.47852e12 + 3.56948e12i −0.208926 + 0.504392i
\(718\) 1.77547e12i 0.249317i
\(719\) −4.62379e12 1.91524e12i −0.645235 0.267265i 0.0359755 0.999353i \(-0.488546\pi\)
−0.681211 + 0.732088i \(0.738546\pi\)
\(720\) −2.87840e11 6.94907e11i −0.0399167 0.0963675i
\(721\) 8.14506e12 3.37380e12i 1.12250 0.464954i
\(722\) 3.94061e12 + 3.94061e12i 0.539693 + 0.539693i
\(723\) 1.04306e12 + 1.04306e12i 0.141967 + 0.141967i
\(724\) −2.55243e12 + 1.05725e12i −0.345247 + 0.143006i
\(725\) 2.48821e12 + 6.00706e12i 0.334476 + 0.807497i
\(726\) −1.13338e13 4.69460e12i −1.51412 0.627168i
\(727\) 5.68648e12i 0.754986i −0.926013 0.377493i \(-0.876786\pi\)
0.926013 0.377493i \(-0.123214\pi\)
\(728\) 2.57892e12 6.22607e12i 0.340288 0.821529i
\(729\) 5.46898e12 5.46898e12i 0.717187 0.717187i
\(730\) −9.90457e11 −0.129087
\(731\) 4.60543e11 + 4.19290e12i 0.0596543 + 0.543108i
\(732\) 1.47553e12 0.189954
\(733\) −1.71112e12 + 1.71112e12i −0.218934 + 0.218934i −0.808049 0.589115i \(-0.799476\pi\)
0.589115 + 0.808049i \(0.299476\pi\)
\(734\) 2.40756e12 5.81235e12i 0.306157 0.739128i
\(735\) 1.87594e12i 0.237097i
\(736\) 6.91163e12 + 2.86289e12i 0.868221 + 0.359629i
\(737\) 1.81548e12 + 4.38295e12i 0.226666 + 0.547221i
\(738\) −1.40790e12 + 5.83172e11i −0.174710 + 0.0723674i
\(739\) 8.31115e12 + 8.31115e12i 1.02509 + 1.02509i 0.999677 + 0.0254111i \(0.00808948\pi\)
0.0254111 + 0.999677i \(0.491911\pi\)
\(740\) −1.33222e12 1.33222e12i −0.163318 0.163318i
\(741\) 5.55337e12 2.30028e12i 0.676667 0.280285i
\(742\) −3.66299e12 8.84323e12i −0.443627 1.07101i
\(743\) −4.90537e12 2.03187e12i −0.590503 0.244594i 0.0673642 0.997728i \(-0.478541\pi\)
−0.657867 + 0.753134i \(0.728541\pi\)
\(744\) 5.31144e12i 0.635527i
\(745\) −8.18595e11 + 1.97626e12i −0.0973567 + 0.235040i
\(746\) 7.56417e10 7.56417e10i 0.00894204 0.00894204i
\(747\) 2.25807e12 0.265335
\(748\) −6.52674e12 1.90013e12i −0.762324 0.221935i
\(749\) −8.42247e12 −0.977848
\(750\) −3.63100e12 + 3.63100e12i −0.419036 + 0.419036i
\(751\) 1.26079e12 3.04383e12i 0.144632 0.349173i −0.834918 0.550375i \(-0.814485\pi\)
0.979550 + 0.201202i \(0.0644848\pi\)
\(752\) 2.18099e12i 0.248698i
\(753\) 4.35235e12 + 1.80280e12i 0.493340 + 0.204348i
\(754\) 2.45799e12 + 5.93412e12i 0.276955 + 0.668629i
\(755\) −4.94673e12 + 2.04900e12i −0.554060 + 0.229499i
\(756\) 3.45289e12 + 3.45289e12i 0.384445 + 0.384445i
\(757\) 7.80215e12 + 7.80215e12i 0.863540 + 0.863540i 0.991747 0.128207i \(-0.0409222\pi\)
−0.128207 + 0.991747i \(0.540922\pi\)
\(758\) 3.48683e12 1.44429e12i 0.383636 0.158907i
\(759\) 6.50111e12 + 1.56951e13i 0.711049 + 1.71662i
\(760\) 7.98554e12 + 3.30772e1