Properties

Label 17.10.d.a.8.2
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 8.2
Character \(\chi\) \(=\) 17.8
Dual form 17.10.d.a.15.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-25.4395 + 25.4395i) q^{2} +(-16.0088 + 38.6487i) q^{3} -782.338i q^{4} +(2220.20 + 919.637i) q^{5} +(-575.948 - 1390.46i) q^{6} +(8017.68 - 3321.03i) q^{7} +(6877.27 + 6877.27i) q^{8} +(12680.5 + 12680.5i) q^{9} +O(q^{10})\) \(q+(-25.4395 + 25.4395i) q^{2} +(-16.0088 + 38.6487i) q^{3} -782.338i q^{4} +(2220.20 + 919.637i) q^{5} +(-575.948 - 1390.46i) q^{6} +(8017.68 - 3321.03i) q^{7} +(6877.27 + 6877.27i) q^{8} +(12680.5 + 12680.5i) q^{9} +(-79875.9 + 33085.7i) q^{10} +(-24192.5 - 58405.8i) q^{11} +(30236.3 + 12524.3i) q^{12} +128302. i q^{13} +(-119480. + 288451. i) q^{14} +(-71085.5 + 71085.5i) q^{15} +50648.4 q^{16} +(332859. - 88277.9i) q^{17} -645174. q^{18} +(-194628. + 194628. i) q^{19} +(719467. - 1.73695e6i) q^{20} +363039. i q^{21} +(2.10126e6 + 870371. i) q^{22} +(-416449. - 1.00540e6i) q^{23} +(-375894. + 155701. i) q^{24} +(2.70249e6 + 2.70249e6i) q^{25} +(-3.26394e6 - 3.26394e6i) q^{26} +(-1.45381e6 + 602188. i) q^{27} +(-2.59817e6 - 6.27253e6i) q^{28} +(1.32700e6 + 549662. i) q^{29} -3.61676e6i q^{30} +(-1.72229e6 + 4.15798e6i) q^{31} +(-4.80963e6 + 4.80963e6i) q^{32} +2.64460e6 q^{33} +(-6.22201e6 + 1.07135e7i) q^{34} +2.08550e7 q^{35} +(9.92047e6 - 9.92047e6i) q^{36} +(1.03267e6 - 2.49309e6i) q^{37} -9.90250e6i q^{38} +(-4.95871e6 - 2.05396e6i) q^{39} +(8.94432e6 + 2.15935e7i) q^{40} +(-2.31653e7 + 9.59538e6i) q^{41} +(-9.23553e6 - 9.23553e6i) q^{42} +(-3.40152e6 - 3.40152e6i) q^{43} +(-4.56931e7 + 1.89267e7i) q^{44} +(1.64918e7 + 3.98148e7i) q^{45} +(3.61711e7 + 1.49826e7i) q^{46} -2.48324e7i q^{47} +(-810821. + 1.95750e6i) q^{48} +(2.47196e7 - 2.47196e7i) q^{49} -1.37500e8 q^{50} +(-1.91685e6 + 1.42778e7i) q^{51} +1.00376e8 q^{52} +(8.03580e6 - 8.03580e6i) q^{53} +(2.16648e7 - 5.23036e7i) q^{54} -1.51921e8i q^{55} +(7.79793e7 + 3.23001e7i) q^{56} +(-4.40636e6 - 1.06379e7i) q^{57} +(-4.77414e7 + 1.97751e7i) q^{58} +(1.36917e7 + 1.36917e7i) q^{59} +(5.56129e7 + 5.56129e7i) q^{60} +(6.35048e7 - 2.63045e7i) q^{61} +(-6.19627e7 - 1.49591e8i) q^{62} +(1.43781e8 + 5.95560e7i) q^{63} -2.18777e8i q^{64} +(-1.17991e8 + 2.84856e8i) q^{65} +(-6.72774e7 + 6.72774e7i) q^{66} +1.24432e8 q^{67} +(-6.90632e7 - 2.60408e8i) q^{68} +4.55242e7 q^{69} +(-5.30541e8 + 5.30541e8i) q^{70} +(1.08431e7 - 2.61777e7i) q^{71} +1.74415e8i q^{72} +(-1.31867e7 - 5.46211e6i) q^{73} +(3.71523e7 + 8.96936e7i) q^{74} +(-1.47711e8 + 6.11840e7i) q^{75} +(1.52265e8 + 1.52265e8i) q^{76} +(-3.87935e8 - 3.87935e8i) q^{77} +(1.78399e8 - 7.38953e7i) q^{78} +(1.54131e8 + 3.72105e8i) q^{79} +(1.12450e8 + 4.65781e7i) q^{80} +2.87147e8i q^{81} +(3.45212e8 - 8.33416e8i) q^{82} +(-1.29868e8 + 1.29868e8i) q^{83} +2.84019e8 q^{84} +(8.20196e8 + 1.10114e8i) q^{85} +1.73066e8 q^{86} +(-4.24875e7 + 4.24875e7i) q^{87} +(2.35294e8 - 5.68050e8i) q^{88} -9.42435e8i q^{89} +(-1.43241e9 - 5.93325e8i) q^{90} +(4.26095e8 + 1.02868e9i) q^{91} +(-7.86560e8 + 3.25804e8i) q^{92} +(-1.33129e8 - 1.33129e8i) q^{93} +(6.31725e8 + 6.31725e8i) q^{94} +(-6.11101e8 + 2.53126e8i) q^{95} +(-1.08890e8 - 2.62883e8i) q^{96} +(-1.44243e9 - 5.97475e8i) q^{97} +1.25771e9i q^{98} +(4.33844e8 - 1.04739e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −25.4395 + 25.4395i −1.12428 + 1.12428i −0.133188 + 0.991091i \(0.542521\pi\)
−0.991091 + 0.133188i \(0.957479\pi\)
\(3\) −16.0088 + 38.6487i −0.114107 + 0.275480i −0.970608 0.240667i \(-0.922634\pi\)
0.856500 + 0.516146i \(0.172634\pi\)
\(4\) 782.338i 1.52800i
\(5\) 2220.20 + 919.637i 1.58865 + 0.658038i 0.989753 0.142791i \(-0.0456076\pi\)
0.598893 + 0.800829i \(0.295608\pi\)
\(6\) −575.948 1390.46i −0.181427 0.438004i
\(7\) 8017.68 3321.03i 1.26214 0.522795i 0.351574 0.936160i \(-0.385647\pi\)
0.910566 + 0.413365i \(0.135647\pi\)
\(8\) 6877.27 + 6877.27i 0.593623 + 0.593623i
\(9\) 12680.5 + 12680.5i 0.644238 + 0.644238i
\(10\) −79875.9 + 33085.7i −2.52590 + 1.04626i
\(11\) −24192.5 58405.8i −0.498211 1.20279i −0.950446 0.310889i \(-0.899373\pi\)
0.452235 0.891899i \(-0.350627\pi\)
\(12\) 30236.3 + 12524.3i 0.420934 + 0.174356i
\(13\) 128302.i 1.24591i 0.782256 + 0.622957i \(0.214069\pi\)
−0.782256 + 0.622957i \(0.785931\pi\)
\(14\) −119480. + 288451.i −0.831229 + 2.00676i
\(15\) −71085.5 + 71085.5i −0.362552 + 0.362552i
\(16\) 50648.4 0.193208
\(17\) 332859. 88277.9i 0.966584 0.256349i
\(18\) −645174. −1.44861
\(19\) −194628. + 194628.i −0.342622 + 0.342622i −0.857352 0.514730i \(-0.827892\pi\)
0.514730 + 0.857352i \(0.327892\pi\)
\(20\) 719467. 1.73695e6i 1.00549 2.42746i
\(21\) 363039.i 0.407348i
\(22\) 2.10126e6 + 870371.i 1.91240 + 0.792140i
\(23\) −416449. 1.00540e6i −0.310304 0.749139i −0.999694 0.0247488i \(-0.992121\pi\)
0.689390 0.724390i \(-0.257879\pi\)
\(24\) −375894. + 155701.i −0.231268 + 0.0957942i
\(25\) 2.70249e6 + 2.70249e6i 1.38367 + 1.38367i
\(26\) −3.26394e6 3.26394e6i −1.40076 1.40076i
\(27\) −1.45381e6 + 602188.i −0.526466 + 0.218069i
\(28\) −2.59817e6 6.27253e6i −0.798833 1.92855i
\(29\) 1.32700e6 + 549662.i 0.348402 + 0.144313i 0.550020 0.835151i \(-0.314620\pi\)
−0.201618 + 0.979464i \(0.564620\pi\)
\(30\) 3.61676e6i 0.815219i
\(31\) −1.72229e6 + 4.15798e6i −0.334949 + 0.808638i 0.663236 + 0.748411i \(0.269183\pi\)
−0.998185 + 0.0602278i \(0.980817\pi\)
\(32\) −4.80963e6 + 4.80963e6i −0.810843 + 0.810843i
\(33\) 2.64460e6 0.388193
\(34\) −6.22201e6 + 1.07135e7i −0.798502 + 1.37492i
\(35\) 2.08550e7 2.34911
\(36\) 9.92047e6 9.92047e6i 0.984399 0.984399i
\(37\) 1.03267e6 2.49309e6i 0.0905846 0.218691i −0.872094 0.489339i \(-0.837238\pi\)
0.962678 + 0.270648i \(0.0872381\pi\)
\(38\) 9.90250e6i 0.770404i
\(39\) −4.95871e6 2.05396e6i −0.343224 0.142168i
\(40\) 8.94432e6 + 2.15935e7i 0.552430 + 1.33368i
\(41\) −2.31653e7 + 9.59538e6i −1.28030 + 0.530316i −0.916079 0.400998i \(-0.868664\pi\)
−0.364218 + 0.931314i \(0.618664\pi\)
\(42\) −9.23553e6 9.23553e6i −0.457973 0.457973i
\(43\) −3.40152e6 3.40152e6i −0.151728 0.151728i 0.627162 0.778889i \(-0.284217\pi\)
−0.778889 + 0.627162i \(0.784217\pi\)
\(44\) −4.56931e7 + 1.89267e7i −1.83786 + 0.761268i
\(45\) 1.64918e7 + 3.98148e7i 0.599533 + 1.44740i
\(46\) 3.61711e7 + 1.49826e7i 1.19111 + 0.493373i
\(47\) 2.48324e7i 0.742299i −0.928573 0.371149i \(-0.878964\pi\)
0.928573 0.371149i \(-0.121036\pi\)
\(48\) −810821. + 1.95750e6i −0.0220465 + 0.0532249i
\(49\) 2.47196e7 2.47196e7i 0.612575 0.612575i
\(50\) −1.37500e8 −3.11127
\(51\) −1.91685e6 + 1.42778e7i −0.0396754 + 0.295525i
\(52\) 1.00376e8 1.90376
\(53\) 8.03580e6 8.03580e6i 0.139890 0.139890i −0.633694 0.773584i \(-0.718462\pi\)
0.773584 + 0.633694i \(0.218462\pi\)
\(54\) 2.16648e7 5.23036e7i 0.346724 0.837065i
\(55\) 1.51921e8i 2.23865i
\(56\) 7.79793e7 + 3.23001e7i 1.05958 + 0.438892i
\(57\) −4.40636e6 1.06379e7i −0.0552896 0.133481i
\(58\) −4.77414e7 + 1.97751e7i −0.553948 + 0.229453i
\(59\) 1.36917e7 + 1.36917e7i 0.147104 + 0.147104i 0.776823 0.629719i \(-0.216830\pi\)
−0.629719 + 0.776823i \(0.716830\pi\)
\(60\) 5.56129e7 + 5.56129e7i 0.553981 + 0.553981i
\(61\) 6.35048e7 2.63045e7i 0.587249 0.243246i −0.0692177 0.997602i \(-0.522050\pi\)
0.656467 + 0.754355i \(0.272050\pi\)
\(62\) −6.19627e7 1.49591e8i −0.532559 1.28571i
\(63\) 1.43781e8 + 5.95560e7i 1.14992 + 0.476314i
\(64\) 2.18777e8i 1.63002i
\(65\) −1.17991e8 + 2.84856e8i −0.819860 + 1.97932i
\(66\) −6.72774e7 + 6.72774e7i −0.436437 + 0.436437i
\(67\) 1.24432e8 0.754391 0.377196 0.926134i \(-0.376888\pi\)
0.377196 + 0.926134i \(0.376888\pi\)
\(68\) −6.90632e7 2.60408e8i −0.391703 1.47694i
\(69\) 4.55242e7 0.241780
\(70\) −5.30541e8 + 5.30541e8i −2.64106 + 2.64106i
\(71\) 1.08431e7 2.61777e7i 0.0506399 0.122256i −0.896535 0.442973i \(-0.853924\pi\)
0.947175 + 0.320717i \(0.103924\pi\)
\(72\) 1.74415e8i 0.764870i
\(73\) −1.31867e7 5.46211e6i −0.0543479 0.0225116i 0.355344 0.934736i \(-0.384364\pi\)
−0.409692 + 0.912224i \(0.634364\pi\)
\(74\) 3.71523e7 + 8.96936e7i 0.144027 + 0.347711i
\(75\) −1.47711e8 + 6.11840e7i −0.539061 + 0.223286i
\(76\) 1.52265e8 + 1.52265e8i 0.523527 + 0.523527i
\(77\) −3.87935e8 3.87935e8i −1.25762 1.25762i
\(78\) 1.78399e8 7.38953e7i 0.545716 0.226043i
\(79\) 1.54131e8 + 3.72105e8i 0.445213 + 1.07484i 0.974094 + 0.226144i \(0.0726119\pi\)
−0.528881 + 0.848696i \(0.677388\pi\)
\(80\) 1.12450e8 + 4.65781e7i 0.306940 + 0.127139i
\(81\) 2.87147e8i 0.741177i
\(82\) 3.45212e8 8.33416e8i 0.843187 2.03563i
\(83\) −1.29868e8 + 1.29868e8i −0.300367 + 0.300367i −0.841157 0.540790i \(-0.818125\pi\)
0.540790 + 0.841157i \(0.318125\pi\)
\(84\) 2.84019e8 0.622430
\(85\) 8.20196e8 + 1.10114e8i 1.70425 + 0.228802i
\(86\) 1.73066e8 0.341168
\(87\) −4.24875e7 + 4.24875e7i −0.0795104 + 0.0795104i
\(88\) 2.35294e8 5.68050e8i 0.418253 1.00975i
\(89\) 9.42435e8i 1.59219i −0.605169 0.796097i \(-0.706894\pi\)
0.605169 0.796097i \(-0.293106\pi\)
\(90\) −1.43241e9 5.93325e8i −2.30132 0.953239i
\(91\) 4.26095e8 + 1.02868e9i 0.651359 + 1.57252i
\(92\) −7.86560e8 + 3.25804e8i −1.14469 + 0.474145i
\(93\) −1.33129e8 1.33129e8i −0.184543 0.184543i
\(94\) 6.31725e8 + 6.31725e8i 0.834551 + 0.834551i
\(95\) −6.11101e8 + 2.53126e8i −0.769763 + 0.318846i
\(96\) −1.08890e8 2.62883e8i −0.130848 0.315894i
\(97\) −1.44243e9 5.97475e8i −1.65433 0.685246i −0.656708 0.754145i \(-0.728051\pi\)
−0.997624 + 0.0688989i \(0.978051\pi\)
\(98\) 1.25771e9i 1.37741i
\(99\) 4.33844e8 1.04739e9i 0.453915 1.09585i
\(100\) 2.11426e9 2.11426e9i 2.11426 2.11426i
\(101\) 1.57983e9 1.51065 0.755325 0.655351i \(-0.227479\pi\)
0.755325 + 0.655351i \(0.227479\pi\)
\(102\) −3.14456e8 4.11983e8i −0.287647 0.376859i
\(103\) −4.17306e8 −0.365331 −0.182666 0.983175i \(-0.558473\pi\)
−0.182666 + 0.983175i \(0.558473\pi\)
\(104\) −8.82367e8 + 8.82367e8i −0.739604 + 0.739604i
\(105\) −3.33864e8 + 8.06018e8i −0.268051 + 0.647132i
\(106\) 4.08854e8i 0.314551i
\(107\) −2.45172e9 1.01553e9i −1.80819 0.748975i −0.982869 0.184305i \(-0.940996\pi\)
−0.825317 0.564670i \(-0.809004\pi\)
\(108\) 4.71114e8 + 1.13737e9i 0.333211 + 0.804442i
\(109\) −8.72791e8 + 3.61522e8i −0.592231 + 0.245310i −0.658610 0.752485i \(-0.728855\pi\)
0.0663794 + 0.997794i \(0.478855\pi\)
\(110\) 3.86479e9 + 3.86479e9i 2.51686 + 2.51686i
\(111\) 7.98228e7 + 7.98228e7i 0.0499084 + 0.0499084i
\(112\) 4.06083e8 1.68205e8i 0.243856 0.101008i
\(113\) −8.47315e8 2.04560e9i −0.488869 1.18023i −0.955290 0.295671i \(-0.904457\pi\)
0.466421 0.884563i \(-0.345543\pi\)
\(114\) 3.82719e8 + 1.58527e8i 0.212231 + 0.0879088i
\(115\) 2.61516e9i 1.39431i
\(116\) 4.30021e8 1.03816e9i 0.220510 0.532359i
\(117\) −1.62694e9 + 1.62694e9i −0.802666 + 0.802666i
\(118\) −6.96621e8 −0.330771
\(119\) 2.37558e9 1.81322e9i 1.08595 0.828874i
\(120\) −9.77748e8 −0.430439
\(121\) −1.15864e9 + 1.15864e9i −0.491377 + 0.491377i
\(122\) −9.46356e8 + 2.28471e9i −0.386754 + 0.933708i
\(123\) 1.04892e9i 0.413208i
\(124\) 3.25294e9 + 1.34741e9i 1.23560 + 0.511803i
\(125\) 1.71859e9 + 4.14904e9i 0.629617 + 1.52003i
\(126\) −5.17280e9 + 2.14264e9i −1.82834 + 0.757325i
\(127\) 8.29816e8 + 8.29816e8i 0.283051 + 0.283051i 0.834325 0.551274i \(-0.185858\pi\)
−0.551274 + 0.834325i \(0.685858\pi\)
\(128\) 3.10306e9 + 3.10306e9i 1.02175 + 1.02175i
\(129\) 1.85919e8 7.70100e7i 0.0591111 0.0244846i
\(130\) −4.24496e9 1.02482e10i −1.30355 3.14705i
\(131\) −6.29359e8 2.60689e8i −0.186714 0.0773396i 0.287368 0.957820i \(-0.407220\pi\)
−0.474082 + 0.880481i \(0.657220\pi\)
\(132\) 2.06897e9i 0.593160i
\(133\) −9.14101e8 + 2.20683e9i −0.253315 + 0.611558i
\(134\) −3.16550e9 + 3.16550e9i −0.848146 + 0.848146i
\(135\) −3.78154e9 −0.979866
\(136\) 2.89627e9 + 1.68205e9i 0.725962 + 0.421612i
\(137\) 1.11614e9 0.270692 0.135346 0.990798i \(-0.456785\pi\)
0.135346 + 0.990798i \(0.456785\pi\)
\(138\) −1.15811e9 + 1.15811e9i −0.271828 + 0.271828i
\(139\) 1.50278e9 3.62802e9i 0.341450 0.824334i −0.656119 0.754657i \(-0.727803\pi\)
0.997570 0.0696769i \(-0.0221968\pi\)
\(140\) 1.63156e10i 3.58945i
\(141\) 9.59741e8 + 3.97538e8i 0.204488 + 0.0847018i
\(142\) 3.90103e8 + 9.41792e8i 0.0805159 + 0.194383i
\(143\) 7.49358e9 3.10394e9i 1.49857 0.620728i
\(144\) 6.42249e8 + 6.42249e8i 0.124472 + 0.124472i
\(145\) 2.44072e9 + 2.44072e9i 0.458524 + 0.458524i
\(146\) 4.74416e8 1.96510e8i 0.0864116 0.0357928i
\(147\) 5.59649e8 + 1.35111e9i 0.0988525 + 0.238651i
\(148\) −1.95044e9 8.07898e8i −0.334160 0.138414i
\(149\) 6.65964e9i 1.10691i 0.832879 + 0.553455i \(0.186691\pi\)
−0.832879 + 0.553455i \(0.813309\pi\)
\(150\) 2.20121e9 5.31419e9i 0.355018 0.857090i
\(151\) 5.38535e9 5.38535e9i 0.842981 0.842981i −0.146264 0.989246i \(-0.546725\pi\)
0.989246 + 0.146264i \(0.0467250\pi\)
\(152\) −2.67702e9 −0.406776
\(153\) 5.34024e9 + 3.10142e9i 0.787861 + 0.457561i
\(154\) 1.97378e10 2.82784
\(155\) −7.64766e9 + 7.64766e9i −1.06423 + 1.06423i
\(156\) −1.60689e9 + 3.87938e9i −0.217233 + 0.524448i
\(157\) 2.12735e9i 0.279442i 0.990191 + 0.139721i \(0.0446205\pi\)
−0.990191 + 0.139721i \(0.955380\pi\)
\(158\) −1.33872e10 5.54516e9i −1.70896 0.707876i
\(159\) 1.81930e8 + 4.39217e8i 0.0225744 + 0.0544994i
\(160\) −1.51015e10 + 6.25523e9i −1.82171 + 0.754576i
\(161\) −6.67791e9 6.67791e9i −0.783293 0.783293i
\(162\) −7.30488e9 7.30488e9i −0.833289 0.833289i
\(163\) −6.95765e9 + 2.88195e9i −0.772002 + 0.319774i −0.733683 0.679492i \(-0.762200\pi\)
−0.0383192 + 0.999266i \(0.512200\pi\)
\(164\) 7.50683e9 + 1.81231e10i 0.810325 + 1.95630i
\(165\) 5.87154e9 + 2.43207e9i 0.616701 + 0.255446i
\(166\) 6.60758e9i 0.675392i
\(167\) 7.41872e7 1.79104e8i 0.00738082 0.0178189i −0.920146 0.391575i \(-0.871930\pi\)
0.927527 + 0.373756i \(0.121930\pi\)
\(168\) −2.49671e9 + 2.49671e9i −0.241811 + 0.241811i
\(169\) −5.85691e9 −0.552304
\(170\) −2.36667e10 + 1.80641e10i −2.17329 + 1.65881i
\(171\) −4.93599e9 −0.441460
\(172\) −2.66114e9 + 2.66114e9i −0.231840 + 0.231840i
\(173\) 6.55919e9 1.58353e10i 0.556727 1.34406i −0.355616 0.934632i \(-0.615729\pi\)
0.912343 0.409427i \(-0.134271\pi\)
\(174\) 2.16172e9i 0.178784i
\(175\) 3.06427e10 + 1.26926e10i 2.46977 + 1.02301i
\(176\) −1.22531e9 2.95816e9i −0.0962585 0.232389i
\(177\) −7.48355e8 + 3.09979e8i −0.0573097 + 0.0237385i
\(178\) 2.39751e10 + 2.39751e10i 1.79007 + 1.79007i
\(179\) 4.05731e9 + 4.05731e9i 0.295392 + 0.295392i 0.839206 0.543814i \(-0.183020\pi\)
−0.543814 + 0.839206i \(0.683020\pi\)
\(180\) 3.11486e10 1.29022e10i 2.21163 0.916088i
\(181\) 2.28637e9 + 5.51980e9i 0.158341 + 0.382269i 0.983063 0.183270i \(-0.0586682\pi\)
−0.824722 + 0.565539i \(0.808668\pi\)
\(182\) −3.70089e10 1.53296e10i −2.50026 1.03564i
\(183\) 2.87548e9i 0.189531i
\(184\) 4.05035e9 9.77842e9i 0.260503 0.628910i
\(185\) 4.58547e9 4.58547e9i 0.287814 0.287814i
\(186\) 6.77345e9 0.414956
\(187\) −1.32086e10 1.73052e10i −0.789897 1.03488i
\(188\) −1.94274e10 −1.13424
\(189\) −9.65629e9 + 9.65629e9i −0.550468 + 0.550468i
\(190\) 9.10671e9 2.19855e10i 0.506956 1.22390i
\(191\) 3.20365e10i 1.74179i −0.491470 0.870895i \(-0.663540\pi\)
0.491470 0.870895i \(-0.336460\pi\)
\(192\) 8.45546e9 + 3.50237e9i 0.449037 + 0.185997i
\(193\) −2.36263e9 5.70390e9i −0.122571 0.295913i 0.850670 0.525701i \(-0.176197\pi\)
−0.973241 + 0.229788i \(0.926197\pi\)
\(194\) 5.18942e10 2.14953e10i 2.63034 1.08952i
\(195\) −9.12042e9 9.12042e9i −0.451709 0.451709i
\(196\) −1.93391e10 1.93391e10i −0.936017 0.936017i
\(197\) −4.75926e9 + 1.97135e9i −0.225134 + 0.0932537i −0.492399 0.870369i \(-0.663880\pi\)
0.267265 + 0.963623i \(0.413880\pi\)
\(198\) 1.56084e10 + 3.76819e10i 0.721712 + 1.74237i
\(199\) 8.00902e9 + 3.31744e9i 0.362027 + 0.149956i 0.556280 0.830995i \(-0.312228\pi\)
−0.194253 + 0.980951i \(0.562228\pi\)
\(200\) 3.71714e10i 1.64276i
\(201\) −1.99202e9 + 4.80915e9i −0.0860816 + 0.207819i
\(202\) −4.01901e10 + 4.01901e10i −1.69839 + 1.69839i
\(203\) 1.24649e10 0.515178
\(204\) 1.11700e10 + 1.49962e9i 0.451564 + 0.0606241i
\(205\) −6.02559e10 −2.38291
\(206\) 1.06161e10 1.06161e10i 0.410734 0.410734i
\(207\) 7.46818e9 1.80298e10i 0.282715 0.682534i
\(208\) 6.49829e9i 0.240721i
\(209\) 1.60760e10 + 6.65888e9i 0.582799 + 0.241403i
\(210\) −1.20114e10 2.89980e10i −0.426193 1.02892i
\(211\) −3.39019e10 + 1.40426e10i −1.17748 + 0.487728i −0.883658 0.468133i \(-0.844927\pi\)
−0.293821 + 0.955861i \(0.594927\pi\)
\(212\) −6.28671e9 6.28671e9i −0.213753 0.213753i
\(213\) 8.38147e8 + 8.38147e8i 0.0279005 + 0.0279005i
\(214\) 8.82051e10 3.65358e10i 2.87496 1.19085i
\(215\) −4.42389e9 1.06802e10i −0.141199 0.340884i
\(216\) −1.41396e10 5.85683e9i −0.441974 0.183071i
\(217\) 3.90571e10i 1.19572i
\(218\) 1.30064e10 3.14003e10i 0.390035 0.941629i
\(219\) 4.22207e8 4.22207e8i 0.0124030 0.0124030i
\(220\) −1.18853e11 −3.42066
\(221\) 1.13262e10 + 4.27064e10i 0.319389 + 1.20428i
\(222\) −4.06131e9 −0.112222
\(223\) 4.79087e10 4.79087e10i 1.29731 1.29731i 0.367139 0.930166i \(-0.380337\pi\)
0.930166 0.367139i \(-0.119663\pi\)
\(224\) −2.25891e10 + 5.45350e10i −0.599492 + 1.44730i
\(225\) 6.85380e10i 1.78283i
\(226\) 7.35944e10 + 3.04838e10i 1.87654 + 0.777286i
\(227\) −1.12535e10 2.71683e10i −0.281301 0.679120i 0.718566 0.695459i \(-0.244799\pi\)
−0.999867 + 0.0163389i \(0.994799\pi\)
\(228\) −8.32244e9 + 3.44727e9i −0.203959 + 0.0844827i
\(229\) −1.04601e10 1.04601e10i −0.251348 0.251348i 0.570175 0.821523i \(-0.306875\pi\)
−0.821523 + 0.570175i \(0.806875\pi\)
\(230\) 6.65285e10 + 6.65285e10i 1.56759 + 1.56759i
\(231\) 2.12036e10 8.78280e9i 0.489954 0.202945i
\(232\) 5.34597e9 + 1.29063e10i 0.121152 + 0.292487i
\(233\) −4.04856e10 1.67697e10i −0.899910 0.372755i −0.115724 0.993281i \(-0.536919\pi\)
−0.784186 + 0.620526i \(0.786919\pi\)
\(234\) 8.27771e10i 1.80484i
\(235\) 2.28368e10 5.51329e10i 0.488461 1.17925i
\(236\) 1.07115e10 1.07115e10i 0.224775 0.224775i
\(237\) −1.68488e10 −0.346899
\(238\) −1.43062e10 + 1.06561e11i −0.289020 + 2.15279i
\(239\) 2.88677e10 0.572297 0.286148 0.958185i \(-0.407625\pi\)
0.286148 + 0.958185i \(0.407625\pi\)
\(240\) −3.60037e9 + 3.60037e9i −0.0700481 + 0.0700481i
\(241\) −3.62014e10 + 8.73978e10i −0.691271 + 1.66888i 0.0509333 + 0.998702i \(0.483780\pi\)
−0.742204 + 0.670174i \(0.766220\pi\)
\(242\) 5.89506e10i 1.10489i
\(243\) −3.97132e10 1.64497e10i −0.730645 0.302643i
\(244\) −2.05790e10 4.96822e10i −0.371681 0.897318i
\(245\) 7.76155e10 3.21494e10i 1.37626 0.570067i
\(246\) 2.66840e10 + 2.66840e10i 0.464561 + 0.464561i
\(247\) −2.49712e10 2.49712e10i −0.426878 0.426878i
\(248\) −4.04402e10 + 1.67509e10i −0.678860 + 0.281193i
\(249\) −2.94021e9 7.09828e9i −0.0484709 0.117019i
\(250\) −1.49270e11 6.18295e10i −2.41680 1.00107i
\(251\) 8.95192e10i 1.42359i 0.702388 + 0.711794i \(0.252117\pi\)
−0.702388 + 0.711794i \(0.747883\pi\)
\(252\) 4.65929e10 1.12485e11i 0.727809 1.75709i
\(253\) −4.86461e10 + 4.86461e10i −0.746459 + 0.746459i
\(254\) −4.22202e10 −0.636456
\(255\) −1.73862e10 + 2.99367e10i −0.257497 + 0.443377i
\(256\) −4.58666e10 −0.667447
\(257\) 4.30100e10 4.30100e10i 0.614993 0.614993i −0.329249 0.944243i \(-0.606796\pi\)
0.944243 + 0.329249i \(0.106796\pi\)
\(258\) −2.77058e9 + 6.68877e9i −0.0389298 + 0.0939849i
\(259\) 2.34183e10i 0.323375i
\(260\) 2.22854e11 + 9.23090e10i 3.02440 + 1.25275i
\(261\) 9.85709e9 + 2.37971e10i 0.131482 + 0.317426i
\(262\) 2.26424e10 9.37878e9i 0.296870 0.122968i
\(263\) −2.65696e10 2.65696e10i −0.342440 0.342440i 0.514844 0.857284i \(-0.327850\pi\)
−0.857284 + 0.514844i \(0.827850\pi\)
\(264\) 1.81876e10 + 1.81876e10i 0.230440 + 0.230440i
\(265\) 2.52311e10 1.04511e10i 0.314289 0.130183i
\(266\) −3.28865e10 7.93951e10i −0.402764 0.972358i
\(267\) 3.64239e10 + 1.50873e10i 0.438617 + 0.181681i
\(268\) 9.73482e10i 1.15271i
\(269\) 6.66220e8 1.60840e9i 0.00775769 0.0187287i −0.919953 0.392028i \(-0.871774\pi\)
0.927711 + 0.373299i \(0.121774\pi\)
\(270\) 9.62006e10 9.62006e10i 1.10164 1.10164i
\(271\) −2.05714e10 −0.231687 −0.115844 0.993267i \(-0.536957\pi\)
−0.115844 + 0.993267i \(0.536957\pi\)
\(272\) 1.68588e10 4.47114e9i 0.186752 0.0495288i
\(273\) −4.65786e10 −0.507522
\(274\) −2.83940e10 + 2.83940e10i −0.304333 + 0.304333i
\(275\) 9.24611e10 2.23221e11i 0.974904 2.35363i
\(276\) 3.56153e10i 0.369441i
\(277\) 1.60675e10 + 6.65536e9i 0.163979 + 0.0679223i 0.463163 0.886273i \(-0.346714\pi\)
−0.299184 + 0.954195i \(0.596714\pi\)
\(278\) 5.40652e10 + 1.30525e11i 0.542896 + 1.31067i
\(279\) −7.45650e10 + 3.08858e10i −0.736743 + 0.305169i
\(280\) 1.43425e11 + 1.43425e11i 1.39449 + 1.39449i
\(281\) −5.14428e10 5.14428e10i −0.492205 0.492205i 0.416795 0.909000i \(-0.363153\pi\)
−0.909000 + 0.416795i \(0.863153\pi\)
\(282\) −3.45285e10 + 1.43022e10i −0.325130 + 0.134673i
\(283\) 2.16511e10 + 5.22703e10i 0.200650 + 0.484413i 0.991891 0.127092i \(-0.0405644\pi\)
−0.791241 + 0.611505i \(0.790564\pi\)
\(284\) −2.04798e10 8.48300e9i −0.186807 0.0773779i
\(285\) 2.76705e10i 0.248437i
\(286\) −1.11670e11 + 2.69596e11i −0.986939 + 2.38268i
\(287\) −1.53865e11 + 1.53865e11i −1.33867 + 1.33867i
\(288\) −1.21977e11 −1.04475
\(289\) 1.03002e11 5.87682e10i 0.868570 0.495566i
\(290\) −1.24181e11 −1.03102
\(291\) 4.61833e10 4.61833e10i 0.377543 0.377543i
\(292\) −4.27321e9 + 1.03164e10i −0.0343979 + 0.0830438i
\(293\) 5.94960e10i 0.471611i −0.971800 0.235805i \(-0.924227\pi\)
0.971800 0.235805i \(-0.0757728\pi\)
\(294\) −4.86089e10 2.01344e10i −0.379448 0.157173i
\(295\) 1.78069e10 + 4.29897e10i 0.136896 + 0.330496i
\(296\) 2.42476e10 1.00437e10i 0.183593 0.0760467i
\(297\) 7.03425e10 + 7.03425e10i 0.524583 + 0.524583i
\(298\) −1.69418e11 1.69418e11i −1.24447 1.24447i
\(299\) 1.28995e11 5.34313e10i 0.933364 0.386612i
\(300\) 4.78665e10 + 1.15560e11i 0.341182 + 0.823687i
\(301\) −3.85688e10 1.59757e10i −0.270824 0.112179i
\(302\) 2.74002e11i 1.89549i
\(303\) −2.52912e10 + 6.10583e10i −0.172376 + 0.416153i
\(304\) −9.85762e9 + 9.85762e9i −0.0661974 + 0.0661974i
\(305\) 1.65184e11 1.09300
\(306\) −2.14752e11 + 5.69546e10i −1.40020 + 0.371349i
\(307\) 2.66497e11 1.71226 0.856130 0.516761i \(-0.172862\pi\)
0.856130 + 0.516761i \(0.172862\pi\)
\(308\) −3.03496e11 + 3.03496e11i −1.92165 + 1.92165i
\(309\) 6.68057e9 1.61283e10i 0.0416870 0.100641i
\(310\) 3.89105e11i 2.39298i
\(311\) −3.00978e11 1.24669e11i −1.82437 0.755679i −0.972880 0.231312i \(-0.925698\pi\)
−0.851492 0.524368i \(-0.824302\pi\)
\(312\) −1.99767e10 4.82280e10i −0.119351 0.288140i
\(313\) −1.21629e11 + 5.03803e10i −0.716287 + 0.296696i −0.710903 0.703290i \(-0.751714\pi\)
−0.00538360 + 0.999986i \(0.501714\pi\)
\(314\) −5.41188e10 5.41188e10i −0.314170 0.314170i
\(315\) 2.64453e11 + 2.64453e11i 1.51339 + 1.51339i
\(316\) 2.91112e11 1.20583e11i 1.64236 0.680288i
\(317\) 2.27455e10 + 5.49124e10i 0.126511 + 0.305425i 0.974426 0.224707i \(-0.0721425\pi\)
−0.847915 + 0.530132i \(0.822143\pi\)
\(318\) −1.58017e10 6.54526e9i −0.0866524 0.0358926i
\(319\) 9.08023e10i 0.490952i
\(320\) 2.01196e11 4.85729e11i 1.07261 2.58952i
\(321\) 7.84981e10 7.84981e10i 0.412655 0.412655i
\(322\) 3.39766e11 1.76128
\(323\) −4.76023e10 + 8.19651e10i −0.243342 + 0.419004i
\(324\) 2.24646e11 1.13252
\(325\) −3.46734e11 + 3.46734e11i −1.72394 + 1.72394i
\(326\) 1.03684e11 2.50315e11i 0.508431 1.22746i
\(327\) 3.95198e10i 0.191139i
\(328\) −2.25304e11 9.33239e10i −1.07482 0.445206i
\(329\) −8.24693e10 1.99098e11i −0.388070 0.936885i
\(330\) −2.11240e11 + 8.74985e10i −0.980536 + 0.406151i
\(331\) −1.10413e11 1.10413e11i −0.505586 0.505586i 0.407582 0.913169i \(-0.366372\pi\)
−0.913169 + 0.407582i \(0.866372\pi\)
\(332\) 1.01601e11 + 1.01601e11i 0.458962 + 0.458962i
\(333\) 4.47086e10 1.85189e10i 0.199247 0.0825308i
\(334\) 2.66903e9 + 6.44360e9i 0.0117353 + 0.0283315i
\(335\) 2.76265e11 + 1.14433e11i 1.19846 + 0.496419i
\(336\) 1.83873e10i 0.0787031i
\(337\) 1.09881e10 2.65276e10i 0.0464075 0.112038i −0.898976 0.437998i \(-0.855688\pi\)
0.945383 + 0.325961i \(0.105688\pi\)
\(338\) 1.48997e11 1.48997e11i 0.620943 0.620943i
\(339\) 9.26243e10 0.380914
\(340\) 8.61467e10 6.41671e11i 0.349610 2.60410i
\(341\) 2.84516e11 1.13950
\(342\) 1.25569e11 1.25569e11i 0.496324 0.496324i
\(343\) −1.79163e10 + 4.32538e10i −0.0698916 + 0.168733i
\(344\) 4.67863e10i 0.180138i
\(345\) 1.01073e11 + 4.18657e10i 0.384103 + 0.159101i
\(346\) 2.35979e11 + 5.69704e11i 0.885180 + 2.13701i
\(347\) −4.94048e11 + 2.04641e11i −1.82931 + 0.757724i −0.860706 + 0.509102i \(0.829978\pi\)
−0.968601 + 0.248622i \(0.920022\pi\)
\(348\) 3.32395e10 + 3.32395e10i 0.121492 + 0.121492i
\(349\) 6.66635e9 + 6.66635e9i 0.0240533 + 0.0240533i 0.719031 0.694978i \(-0.244586\pi\)
−0.694978 + 0.719031i \(0.744586\pi\)
\(350\) −1.10243e12 + 4.56641e11i −3.92685 + 1.62656i
\(351\) −7.72619e10 1.86527e11i −0.271696 0.655932i
\(352\) 3.97267e11 + 1.64553e11i 1.37924 + 0.571301i
\(353\) 1.66113e11i 0.569400i −0.958617 0.284700i \(-0.908106\pi\)
0.958617 0.284700i \(-0.0918940\pi\)
\(354\) 1.11521e10 2.69235e10i 0.0377434 0.0911207i
\(355\) 4.81479e10 4.81479e10i 0.160898 0.160898i
\(356\) −7.37302e11 −2.43288
\(357\) 3.20483e10 + 1.20841e11i 0.104423 + 0.393737i
\(358\) −2.06432e11 −0.664206
\(359\) −3.18971e11 + 3.18971e11i −1.01351 + 1.01351i −0.0135986 + 0.999908i \(0.504329\pi\)
−0.999908 + 0.0135986i \(0.995671\pi\)
\(360\) −1.60398e11 + 3.87236e11i −0.503314 + 1.21511i
\(361\) 2.46927e11i 0.765221i
\(362\) −1.98585e11 8.22567e10i −0.607797 0.251758i
\(363\) −2.62315e10 6.33285e10i −0.0792946 0.191434i
\(364\) 8.04779e11 3.33350e11i 2.40281 0.995278i
\(365\) −2.42539e10 2.42539e10i −0.0715261 0.0715261i
\(366\) −7.31509e10 7.31509e10i −0.213086 0.213086i
\(367\) 3.38178e11 1.40078e11i 0.973078 0.403062i 0.161221 0.986918i \(-0.448457\pi\)
0.811857 + 0.583856i \(0.198457\pi\)
\(368\) −2.10925e10 5.09218e10i −0.0599533 0.144740i
\(369\) −4.15423e11 1.72074e11i −1.16647 0.483166i
\(370\) 2.33304e11i 0.647165i
\(371\) 3.77413e10 9.11156e10i 0.103427 0.249695i
\(372\) −1.04152e11 + 1.04152e11i −0.281983 + 0.281983i
\(373\) 5.22724e11 1.39824 0.699122 0.715002i \(-0.253574\pi\)
0.699122 + 0.715002i \(0.253574\pi\)
\(374\) 7.76257e11 + 1.04215e11i 2.05156 + 0.275429i
\(375\) −1.87867e11 −0.490581
\(376\) 1.70779e11 1.70779e11i 0.440646 0.440646i
\(377\) −7.05227e10 + 1.70257e11i −0.179801 + 0.434079i
\(378\) 4.91303e11i 1.23776i
\(379\) 1.94403e11 + 8.05243e10i 0.483979 + 0.200471i 0.611312 0.791389i \(-0.290642\pi\)
−0.127334 + 0.991860i \(0.540642\pi\)
\(380\) 1.98030e11 + 4.78088e11i 0.487198 + 1.17620i
\(381\) −4.53557e10 + 1.87869e10i −0.110273 + 0.0456766i
\(382\) 8.14994e11 + 8.14994e11i 1.95826 + 1.95826i
\(383\) −1.96221e11 1.96221e11i −0.465963 0.465963i 0.434641 0.900604i \(-0.356875\pi\)
−0.900604 + 0.434641i \(0.856875\pi\)
\(384\) −1.69606e11 + 7.02529e10i −0.398061 + 0.164882i
\(385\) −5.04534e11 1.21805e12i −1.17035 2.82548i
\(386\) 2.05209e11 + 8.50002e10i 0.470492 + 0.194884i
\(387\) 8.62662e10i 0.195498i
\(388\) −4.67427e11 + 1.12847e12i −1.04706 + 2.52782i
\(389\) 2.06614e11 2.06614e11i 0.457496 0.457496i −0.440337 0.897833i \(-0.645141\pi\)
0.897833 + 0.440337i \(0.145141\pi\)
\(390\) 4.64038e11 1.01569
\(391\) −2.27373e11 2.97892e11i −0.491976 0.644560i
\(392\) 3.40007e11 0.727277
\(393\) 2.01506e10 2.01506e10i 0.0426109 0.0426109i
\(394\) 7.09231e10 1.71224e11i 0.148271 0.357957i
\(395\) 9.67892e11i 2.00051i
\(396\) −8.19414e11 3.39412e11i −1.67446 0.693584i
\(397\) −2.36816e11 5.71724e11i −0.478469 1.15513i −0.960327 0.278877i \(-0.910038\pi\)
0.481858 0.876249i \(-0.339962\pi\)
\(398\) −2.88140e11 + 1.19351e11i −0.575611 + 0.238426i
\(399\) −7.06576e10 7.06576e10i −0.139566 0.139566i
\(400\) 1.36877e11 + 1.36877e11i 0.267337 + 0.267337i
\(401\) 2.26489e11 9.38150e10i 0.437420 0.181185i −0.153096 0.988211i \(-0.548924\pi\)
0.590516 + 0.807026i \(0.298924\pi\)
\(402\) −7.16665e10 1.73018e11i −0.136867 0.330427i
\(403\) −5.33477e11 2.20973e11i −1.00749 0.417318i
\(404\) 1.23596e12i 2.30828i
\(405\) −2.64071e11 + 6.37524e11i −0.487723 + 1.17747i
\(406\) −3.17101e11 + 3.17101e11i −0.579203 + 0.579203i
\(407\) −1.70594e11 −0.308169
\(408\) −1.11375e11 + 8.50094e10i −0.198983 + 0.151879i
\(409\) −6.50288e11 −1.14908 −0.574540 0.818476i \(-0.694819\pi\)
−0.574540 + 0.818476i \(0.694819\pi\)
\(410\) 1.53288e12 1.53288e12i 2.67905 2.67905i
\(411\) −1.78681e10 + 4.31373e10i −0.0308880 + 0.0745701i
\(412\) 3.26474e11i 0.558228i
\(413\) 1.55246e11 + 6.43052e10i 0.262571 + 0.108760i
\(414\) 2.68682e11 + 6.48656e11i 0.449508 + 1.08521i
\(415\) −4.07766e11 + 1.68902e11i −0.674829 + 0.279524i
\(416\) −6.17085e11 6.17085e11i −1.01024 1.01024i
\(417\) 1.16161e11 + 1.16161e11i 0.188125 + 0.188125i
\(418\) −5.78364e11 + 2.39566e11i −0.926633 + 0.383824i
\(419\) 1.02806e11 + 2.48195e11i 0.162950 + 0.393396i 0.984173 0.177212i \(-0.0567077\pi\)
−0.821223 + 0.570608i \(0.806708\pi\)
\(420\) 6.30579e11 + 2.61194e11i 0.988820 + 0.409583i
\(421\) 4.71249e11i 0.731107i −0.930790 0.365554i \(-0.880880\pi\)
0.930790 0.365554i \(-0.119120\pi\)
\(422\) 5.05210e11 1.21969e12i 0.775472 1.87216i
\(423\) 3.14889e11 3.14889e11i 0.478217 0.478217i
\(424\) 1.10529e11 0.166084
\(425\) 1.13812e12 + 6.60976e11i 1.69214 + 0.982733i
\(426\) −4.26441e10 −0.0627359
\(427\) 4.21803e11 4.21803e11i 0.614022 0.614022i
\(428\) −7.94491e11 + 1.91807e12i −1.14444 + 2.76291i
\(429\) 3.39308e11i 0.483655i
\(430\) 3.84241e11 + 1.59158e11i 0.541995 + 0.224502i
\(431\) 2.20551e11 + 5.32457e11i 0.307865 + 0.743253i 0.999774 + 0.0212676i \(0.00677019\pi\)
−0.691908 + 0.721985i \(0.743230\pi\)
\(432\) −7.36331e10 + 3.04998e10i −0.101718 + 0.0421328i
\(433\) −5.98239e11 5.98239e11i −0.817860 0.817860i 0.167938 0.985798i \(-0.446289\pi\)
−0.985798 + 0.167938i \(0.946289\pi\)
\(434\) −9.93594e11 9.93594e11i −1.34433 1.34433i
\(435\) −1.33404e11 + 5.52576e10i −0.178635 + 0.0739930i
\(436\) 2.82832e11 + 6.82817e11i 0.374834 + 0.904930i
\(437\) 2.76732e11 + 1.14626e11i 0.362988 + 0.150355i
\(438\) 2.14815e10i 0.0278888i
\(439\) −1.39825e11 + 3.37568e11i −0.179678 + 0.433782i −0.987899 0.155098i \(-0.950431\pi\)
0.808221 + 0.588879i \(0.200431\pi\)
\(440\) 1.04480e12 1.04480e12i 1.32891 1.32891i
\(441\) 6.26916e11 0.789289
\(442\) −1.37457e12 7.98297e11i −1.71303 0.994865i
\(443\) 1.17669e12 1.45159 0.725795 0.687911i \(-0.241472\pi\)
0.725795 + 0.687911i \(0.241472\pi\)
\(444\) 6.24484e10 6.24484e10i 0.0762602 0.0762602i
\(445\) 8.66698e11 2.09239e12i 1.04773 2.52943i
\(446\) 2.43755e12i 2.91706i
\(447\) −2.57386e11 1.06613e11i −0.304931 0.126307i
\(448\) −7.26566e11 1.75409e12i −0.852166 2.05731i
\(449\) 6.14946e11 2.54719e11i 0.714049 0.295769i 0.00407025 0.999992i \(-0.498704\pi\)
0.709979 + 0.704223i \(0.248704\pi\)
\(450\) −1.74357e12 1.74357e12i −2.00440 2.00440i
\(451\) 1.12085e12 + 1.12085e12i 1.27572 + 1.27572i
\(452\) −1.60035e12 + 6.62887e11i −1.80340 + 0.746993i
\(453\) 1.21924e11 + 2.94350e11i 0.136034 + 0.328414i
\(454\) 9.77433e11 + 4.04866e11i 1.07978 + 0.447260i
\(455\) 2.67574e12i 2.92679i
\(456\) 4.28560e10 1.03463e11i 0.0464162 0.112059i
\(457\) −1.01658e12 + 1.01658e12i −1.09023 + 1.09023i −0.0947317 + 0.995503i \(0.530199\pi\)
−0.995503 + 0.0947317i \(0.969801\pi\)
\(458\) 5.32199e11 0.565171
\(459\) −4.30753e11 + 3.28783e11i −0.452972 + 0.345742i
\(460\) −2.04594e12 −2.13051
\(461\) −6.39079e11 + 6.39079e11i −0.659023 + 0.659023i −0.955149 0.296126i \(-0.904305\pi\)
0.296126 + 0.955149i \(0.404305\pi\)
\(462\) −3.15978e11 + 7.62839e11i −0.322677 + 0.779011i
\(463\) 5.54467e11i 0.560740i 0.959892 + 0.280370i \(0.0904571\pi\)
−0.959892 + 0.280370i \(0.909543\pi\)
\(464\) 6.72105e10 + 2.78395e10i 0.0673142 + 0.0278824i
\(465\) −1.73142e11 4.18002e11i −0.171737 0.414610i
\(466\) 1.45655e12 6.03322e11i 1.43083 0.592669i
\(467\) −3.97135e11 3.97135e11i −0.386378 0.386378i 0.487015 0.873393i \(-0.338086\pi\)
−0.873393 + 0.487015i \(0.838086\pi\)
\(468\) 1.27282e12 + 1.27282e12i 1.22648 + 1.22648i
\(469\) 9.97659e11 4.13244e11i 0.952147 0.394392i
\(470\) 8.21598e11 + 1.98351e12i 0.776639 + 1.87497i
\(471\) −8.22194e10 3.40564e10i −0.0769804 0.0318863i
\(472\) 1.88323e11i 0.174648i
\(473\) −1.16377e11 + 2.80960e11i −0.106904 + 0.258089i
\(474\) 4.28626e11 4.28626e11i 0.390010 0.390010i
\(475\) −1.05196e12 −0.948153
\(476\) −1.41855e12 1.85851e12i −1.26652 1.65933i
\(477\) 2.03797e11 0.180245
\(478\) −7.34380e11 + 7.34380e11i −0.643421 + 0.643421i
\(479\) 1.74086e11 4.20281e11i 0.151096 0.364779i −0.830149 0.557542i \(-0.811745\pi\)
0.981245 + 0.192762i \(0.0617447\pi\)
\(480\) 6.83790e11i 0.587946i
\(481\) 3.19868e11 + 1.32494e11i 0.272470 + 0.112861i
\(482\) −1.30241e12 3.14430e12i −1.09910 2.65346i
\(483\) 3.64998e11 1.51187e11i 0.305161 0.126402i
\(484\) 9.06449e11 + 9.06449e11i 0.750826 + 0.750826i
\(485\) −2.65303e12 2.65303e12i −2.17723 2.17723i
\(486\) 1.42876e12 5.91811e11i 1.16170 0.481193i
\(487\) −1.81083e10 4.37174e10i −0.0145881 0.0352187i 0.916418 0.400223i \(-0.131067\pi\)
−0.931006 + 0.365005i \(0.881067\pi\)
\(488\) 6.17643e11 + 2.55836e11i 0.493001 + 0.204208i
\(489\) 3.15041e11i 0.249159i
\(490\) −1.15664e12 + 2.79237e12i −0.906389 + 2.18822i
\(491\) −1.45788e12 + 1.45788e12i −1.13202 + 1.13202i −0.142184 + 0.989840i \(0.545412\pi\)
−0.989840 + 0.142184i \(0.954588\pi\)
\(492\) −8.20610e11 −0.631384
\(493\) 4.90227e11 + 6.58148e10i 0.373754 + 0.0501779i
\(494\) 1.27051e12 0.959858
\(495\) 1.92644e12 1.92644e12i 1.44222 1.44222i
\(496\) −8.72313e10 + 2.10595e11i −0.0647150 + 0.156236i
\(497\) 2.45895e11i 0.180778i
\(498\) 2.55374e11 + 1.05780e11i 0.186057 + 0.0770672i
\(499\) 5.40109e10 + 1.30394e11i 0.0389968 + 0.0941466i 0.942178 0.335113i \(-0.108775\pi\)
−0.903181 + 0.429260i \(0.858775\pi\)
\(500\) 3.24595e12 1.34452e12i 2.32261 0.962057i
\(501\) 5.73448e9 + 5.73448e9i 0.00406653 + 0.00406653i
\(502\) −2.27732e12 2.27732e12i −1.60051 1.60051i
\(503\) 9.83173e11 4.07244e11i 0.684816 0.283660i −0.0130224 0.999915i \(-0.504145\pi\)
0.697839 + 0.716255i \(0.254145\pi\)
\(504\) 5.79237e11 + 1.39840e12i 0.399870 + 0.965372i
\(505\) 3.50753e12 + 1.45287e12i 2.39989 + 0.994066i
\(506\) 2.47507e12i 1.67845i
\(507\) 9.37622e10 2.26362e11i 0.0630219 0.152148i
\(508\) 6.49196e11 6.49196e11i 0.432503 0.432503i
\(509\) 1.82148e12 1.20280 0.601402 0.798947i \(-0.294609\pi\)
0.601402 + 0.798947i \(0.294609\pi\)
\(510\) −3.19280e11 1.20387e12i −0.208981 0.787978i
\(511\) −1.23866e11 −0.0803637
\(512\) −4.21941e11 + 4.21941e11i −0.271355 + 0.271355i
\(513\) 1.65750e11 4.00155e11i 0.105663 0.255094i
\(514\) 2.18831e12i 1.38285i
\(515\) −9.26502e11 3.83770e11i −0.580382 0.240402i
\(516\) −6.02478e10 1.45451e11i −0.0374126 0.0903220i
\(517\) −1.45036e12 + 6.00758e11i −0.892828 + 0.369821i
\(518\) 5.95751e11 + 5.95751e11i 0.363564 + 0.363564i
\(519\) 5.07008e11 + 5.07008e11i 0.306734 + 0.306734i
\(520\) −2.77049e12 + 1.14757e12i −1.66166 + 0.688281i
\(521\) −1.41088e11 3.40617e11i −0.0838920 0.202533i 0.876367 0.481644i \(-0.159960\pi\)
−0.960259 + 0.279111i \(0.909960\pi\)
\(522\) −8.56147e11 3.54628e11i −0.504697 0.209052i
\(523\) 1.31876e12i 0.770740i −0.922762 0.385370i \(-0.874074\pi\)
0.922762 0.385370i \(-0.125926\pi\)
\(524\) −2.03947e11 + 4.92371e11i −0.118175 + 0.285300i
\(525\) −9.81107e11 + 9.81107e11i −0.563637 + 0.563637i
\(526\) 1.35184e12 0.769995
\(527\) −2.06222e11 + 1.53606e12i −0.116463 + 0.867481i
\(528\) 1.33945e11 0.0750021
\(529\) 4.36213e11 4.36213e11i 0.242186 0.242186i
\(530\) −3.75997e11 + 9.07737e11i −0.206987 + 0.499711i
\(531\) 3.47237e11i 0.189540i
\(532\) 1.72649e12 + 7.15136e11i 0.934462 + 0.387067i
\(533\) −1.23111e12 2.97215e12i −0.660729 1.59514i
\(534\) −1.31042e12 + 5.42793e11i −0.697388 + 0.288867i
\(535\) −4.50938e12 4.50938e12i −2.37971 2.37971i
\(536\) 8.55754e11 + 8.55754e11i 0.447824 + 0.447824i
\(537\) −2.21762e11 + 9.18570e10i −0.115081 + 0.0476681i
\(538\) 2.39686e10 + 5.78652e10i 0.0123345 + 0.0297781i
\(539\) −2.04180e12 8.45740e11i −1.04199 0.431606i
\(540\) 2.95844e12i 1.49724i
\(541\) −1.44799e12 + 3.49575e12i −0.726737 + 1.75450i −0.0735647 + 0.997290i \(0.523438\pi\)
−0.653173 + 0.757209i \(0.726562\pi\)
\(542\) 5.23326e11 5.23326e11i 0.260481 0.260481i
\(543\) −2.49935e11 −0.123375
\(544\) −1.17634e12 + 2.02551e12i −0.575889 + 0.991607i
\(545\) −2.27024e12 −1.10227
\(546\) 1.18494e12 1.18494e12i 0.570595 0.570595i
\(547\) 7.23694e11 1.74715e12i 0.345631 0.834426i −0.651494 0.758653i \(-0.725858\pi\)
0.997125 0.0757728i \(-0.0241424\pi\)
\(548\) 8.73198e11i 0.413619i
\(549\) 1.13883e12 + 4.71719e11i 0.535037 + 0.221620i
\(550\) 3.32646e12 + 8.03079e12i 1.55007 + 3.74219i
\(551\) −3.65252e11 + 1.51292e11i −0.168815 + 0.0699254i
\(552\) 3.13082e11 + 3.13082e11i 0.143526 + 0.143526i
\(553\) 2.47155e12 + 2.47155e12i 1.12384 + 1.12384i
\(554\) −5.78057e11 + 2.39439e11i −0.260722 + 0.107994i
\(555\) 1.03815e11 + 2.50631e11i 0.0464451 + 0.112128i
\(556\) −2.83834e12 1.17568e12i −1.25959 0.521737i
\(557\) 4.28655e12i 1.88695i 0.331447 + 0.943474i \(0.392463\pi\)
−0.331447 + 0.943474i \(0.607537\pi\)
\(558\) 1.11118e12 2.68262e12i 0.485209 1.17140i
\(559\) 4.36422e11 4.36422e11i 0.189040 0.189040i
\(560\) 1.05627e12 0.453868
\(561\) 8.80279e11 2.33460e11i 0.375221 0.0995130i
\(562\) 2.61736e12 1.10675
\(563\) −4.16285e10 + 4.16285e10i −0.0174624 + 0.0174624i −0.715784 0.698322i \(-0.753931\pi\)
0.698322 + 0.715784i \(0.253931\pi\)
\(564\) 3.11009e11 7.50842e11i 0.129425 0.312459i
\(565\) 5.32086e12i 2.19667i
\(566\) −1.88052e12 7.78938e11i −0.770202 0.319028i
\(567\) 9.53624e11 + 2.30225e12i 0.387484 + 0.935468i
\(568\) 2.54602e11 1.05460e11i 0.102635 0.0425127i
\(569\) 2.26843e12 + 2.26843e12i 0.907237 + 0.907237i 0.996048 0.0888117i \(-0.0283070\pi\)
−0.0888117 + 0.996048i \(0.528307\pi\)
\(570\) 7.03925e11 + 7.03925e11i 0.279312 + 0.279312i
\(571\) −1.80826e12 + 7.49005e11i −0.711865 + 0.294864i −0.709076 0.705132i \(-0.750888\pi\)
−0.00278920 + 0.999996i \(0.500888\pi\)
\(572\) −2.42833e12 5.86251e12i −0.948475 2.28982i
\(573\) 1.23817e12 + 5.12867e11i 0.479827 + 0.198751i
\(574\) 7.82852e12i 3.01007i
\(575\) 1.59162e12 3.84252e12i 0.607205 1.46592i
\(576\) 2.77422e12 2.77422e12i 1.05012 1.05012i
\(577\) −3.98897e12 −1.49820 −0.749099 0.662458i \(-0.769513\pi\)
−0.749099 + 0.662458i \(0.769513\pi\)
\(578\) −1.12528e12 + 4.11535e12i −0.419360 + 1.53367i
\(579\) 2.58271e11 0.0955042
\(580\) 1.90947e12 1.90947e12i 0.700626 0.700626i
\(581\) −6.09946e11 + 1.47254e12i −0.222075 + 0.536135i
\(582\) 2.34976e12i 0.848926i
\(583\) −6.63743e11 2.74931e11i −0.237953 0.0985635i
\(584\) −5.31240e10 1.28253e11i −0.0188988 0.0456256i
\(585\) −5.10832e12 + 2.11594e12i −1.80334 + 0.746967i
\(586\) 1.51355e12 + 1.51355e12i 0.530222 + 0.530222i
\(587\) 2.55666e12 + 2.55666e12i 0.888794 + 0.888794i 0.994407 0.105613i \(-0.0336805\pi\)
−0.105613 + 0.994407i \(0.533681\pi\)
\(588\) 1.05703e12 4.37835e11i 0.364660 0.151047i
\(589\) −4.74054e11 1.14447e12i −0.162296 0.391818i
\(590\) −1.54664e12 6.40638e11i −0.525478 0.217660i
\(591\) 2.15498e11i 0.0726608i
\(592\) 5.23032e10 1.26271e11i 0.0175017 0.0422528i
\(593\) 2.09346e12 2.09346e12i 0.695215 0.695215i −0.268160 0.963374i \(-0.586416\pi\)
0.963374 + 0.268160i \(0.0864155\pi\)
\(594\) −3.57896e12 −1.17955
\(595\) 6.94176e12 1.84104e12i 2.27061 0.602193i
\(596\) 5.21009e12 1.69136
\(597\) −2.56430e11 + 2.56430e11i −0.0826198 + 0.0826198i
\(598\) −1.92229e12 + 4.64082e12i −0.614701 + 1.48402i
\(599\) 5.30361e12i 1.68326i 0.540055 + 0.841630i \(0.318404\pi\)
−0.540055 + 0.841630i \(0.681596\pi\)
\(600\) −1.43663e12 5.95071e11i −0.452547 0.187451i
\(601\) −1.66630e12 4.02281e12i −0.520978 1.25775i −0.937297 0.348533i \(-0.886680\pi\)
0.416319 0.909219i \(-0.363320\pi\)
\(602\) 1.38759e12 5.74757e11i 0.430602 0.178361i
\(603\) 1.57787e12 + 1.57787e12i 0.486008 + 0.486008i
\(604\) −4.21317e12 4.21317e12i −1.28808 1.28808i
\(605\) −3.63795e12 + 1.50689e12i −1.10397 + 0.457279i
\(606\) −9.09899e11 2.19669e12i −0.274073 0.661671i
\(607\) −2.26935e12 9.39994e11i −0.678503 0.281045i 0.0166979 0.999861i \(-0.494685\pi\)
−0.695201 + 0.718815i \(0.744685\pi\)
\(608\) 1.87218e12i 0.555625i
\(609\) −1.99549e11 + 4.81753e11i −0.0587856 + 0.141921i
\(610\) −4.20220e12 + 4.20220e12i −1.22883 + 1.22883i
\(611\) 3.18605e12 0.924841
\(612\) 2.42636e12 4.17787e12i 0.699154 1.20385i
\(613\) −1.81976e12 −0.520526 −0.260263 0.965538i \(-0.583809\pi\)
−0.260263 + 0.965538i \(0.583809\pi\)
\(614\) −6.77955e12 + 6.77955e12i −1.92506 + 1.92506i
\(615\) 9.64625e11 2.32881e12i 0.271907 0.656442i
\(616\) 5.33586e12i 1.49311i
\(617\) 1.35088e11 + 5.59555e10i 0.0375262 + 0.0155439i 0.401368 0.915917i \(-0.368535\pi\)
−0.363841 + 0.931461i \(0.618535\pi\)
\(618\) 2.40346e11 + 5.80248e11i 0.0662811 + 0.160017i
\(619\) 4.25158e11 1.76106e11i 0.116397 0.0482133i −0.323725 0.946151i \(-0.604935\pi\)
0.440122 + 0.897938i \(0.354935\pi\)
\(620\) 5.98305e12 + 5.98305e12i 1.62615 + 1.62615i
\(621\) 1.21088e12 + 1.21088e12i 0.326729 + 0.326729i
\(622\) 1.08283e13 4.48521e12i 2.90070 1.20151i
\(623\) −3.12985e12 7.55614e12i −0.832392 2.00957i
\(624\) −2.51151e11 1.04030e11i −0.0663138 0.0274681i
\(625\) 3.32753e12i 0.872293i
\(626\) 1.81253e12 4.37583e12i 0.471737 1.13887i
\(627\) −5.14715e11 + 5.14715e11i −0.133003 + 0.133003i
\(628\) 1.66431e12 0.426988
\(629\) 1.23649e11 9.21008e11i 0.0314965 0.234604i
\(630\) −1.34551e13 −3.40294
\(631\) −2.51883e12 + 2.51883e12i −0.632510 + 0.632510i −0.948697 0.316187i \(-0.897597\pi\)
0.316187 + 0.948697i \(0.397597\pi\)
\(632\) −1.49907e12 + 3.61907e12i −0.373761 + 0.902339i
\(633\) 1.53507e12i 0.380025i
\(634\) −1.97558e12 8.18312e11i −0.485616 0.201149i
\(635\) 1.07923e12 + 2.60548e12i 0.263409 + 0.635926i
\(636\) 3.43616e11 1.42330e11i 0.0832753 0.0344938i
\(637\) 3.17158e12 + 3.17158e12i 0.763216 + 0.763216i
\(638\) 2.30997e12 + 2.30997e12i 0.551966 + 0.551966i
\(639\) 4.69444e11 1.94450e11i 0.111386 0.0461375i
\(640\) 4.03572e12 + 9.74310e12i 0.950849 + 2.29555i
\(641\) 1.91229e11 + 7.92096e10i 0.0447396 + 0.0185318i 0.404941 0.914343i \(-0.367292\pi\)
−0.360201 + 0.932875i \(0.617292\pi\)
\(642\) 3.99391e12i 0.927877i
\(643\) 6.73649e11 1.62633e12i 0.155412 0.375197i −0.826927 0.562310i \(-0.809913\pi\)
0.982339 + 0.187112i \(0.0599129\pi\)
\(644\) −5.22438e12 + 5.22438e12i −1.19687 + 1.19687i
\(645\) 4.83597e11 0.110018
\(646\) −8.74173e11 3.29613e12i −0.197493 0.744661i
\(647\) 7.25098e12 1.62677 0.813387 0.581722i \(-0.197621\pi\)
0.813387 + 0.581722i \(0.197621\pi\)
\(648\) −1.97479e12 + 1.97479e12i −0.439980 + 0.439980i
\(649\) 4.68439e11 1.13091e12i 0.103646 0.250223i
\(650\) 1.76415e13i 3.87637i
\(651\) −1.50951e12 6.25258e11i −0.329398 0.136441i
\(652\) 2.25466e12 + 5.44324e12i 0.488616 + 1.17962i
\(653\) 1.43647e12 5.95007e11i 0.309164 0.128060i −0.222707 0.974885i \(-0.571489\pi\)
0.531871 + 0.846826i \(0.321489\pi\)
\(654\) 1.00536e12 + 1.00536e12i 0.214893 + 0.214893i
\(655\) −1.15756e12 1.15756e12i −0.245730 0.245730i
\(656\) −1.17329e12 + 4.85991e11i −0.247364 + 0.102462i
\(657\) −9.79519e10 2.36477e11i −0.0205102 0.0495159i
\(658\) 7.16295e12 + 2.96699e12i 1.48962 + 0.617020i
\(659\) 4.12047e12i 0.851065i 0.904943 + 0.425532i \(0.139913\pi\)
−0.904943 + 0.425532i \(0.860087\pi\)
\(660\) 1.90270e12 4.59353e12i 0.390322 0.942321i
\(661\) 4.10391e12 4.10391e12i 0.836163 0.836163i −0.152189 0.988351i \(-0.548632\pi\)
0.988351 + 0.152189i \(0.0486321\pi\)
\(662\) 5.61772e12 1.13684
\(663\) −1.83187e12 2.45935e11i −0.368200 0.0494322i
\(664\) −1.78628e12 −0.356609
\(665\) −4.05897e12 + 4.05897e12i −0.804857 + 0.804857i
\(666\) −6.66252e11 + 1.60848e12i −0.131221 + 0.316797i
\(667\) 1.56307e12i 0.305782i
\(668\) −1.40120e11 5.80395e10i −0.0272273 0.0112779i
\(669\) 1.08465e12 + 2.61857e12i 0.209349 + 0.505413i
\(670\) −9.93915e12 + 4.11693e12i −1.90552 + 0.789291i
\(671\) −3.07268e12 3.07268e12i −0.585148 0.585148i
\(672\) −1.74608e12 1.74608e12i −0.330296 0.330296i
\(673\) 1.67156e12 6.92382e11i 0.314090 0.130100i −0.220069 0.975484i \(-0.570628\pi\)
0.534159 + 0.845384i \(0.320628\pi\)
\(674\) 3.95318e11 + 9.54381e11i 0.0737865 + 0.178136i
\(675\) −5.55630e12 2.30150e12i −1.03019 0.426720i
\(676\) 4.58208e12i 0.843923i
\(677\) −6.92618e11 + 1.67213e12i −0.126720 + 0.305929i −0.974489 0.224437i \(-0.927946\pi\)
0.847769 + 0.530366i \(0.177946\pi\)
\(678\) −2.35632e12 + 2.35632e12i −0.428253 + 0.428253i
\(679\) −1.35492e13 −2.44624
\(680\) 4.88342e12 + 6.39799e12i 0.875859 + 1.14750i
\(681\) 1.23018e12 0.219182
\(682\) −7.23796e12 + 7.23796e12i −1.28111 + 1.28111i
\(683\) 3.48019e12 8.40193e12i 0.611942 1.47736i −0.248922 0.968524i \(-0.580076\pi\)
0.860864 0.508835i \(-0.169924\pi\)
\(684\) 3.86161e12i 0.674553i
\(685\) 2.47805e12 + 1.02644e12i 0.430034 + 0.178126i
\(686\) −6.44573e11 1.55614e12i −0.111125 0.268281i
\(687\) 5.71723e11 2.36815e11i 0.0979219 0.0405606i
\(688\) −1.72281e11 1.72281e11i −0.0293151 0.0293151i
\(689\) 1.03101e12 + 1.03101e12i 0.174291 + 0.174291i
\(690\) −3.63628e12 + 1.50620e12i −0.610713 + 0.252965i
\(691\) 3.37885e12 + 8.15727e12i 0.563791 + 1.36111i 0.906713 + 0.421747i \(0.138583\pi\)
−0.342923 + 0.939364i \(0.611417\pi\)
\(692\) −1.23885e13 5.13150e12i −2.05373 0.850682i
\(693\) 9.83845e12i 1.62042i
\(694\) 7.36237e12 1.77743e13i 1.20476 2.90854i
\(695\) 6.67292e12 6.67292e12i 1.08489 1.08489i
\(696\) −5.84395e11 −0.0943985
\(697\) −6.86371e12 + 5.23889e12i −1.10157 + 0.840798i
\(698\) −3.39177e11 −0.0540851
\(699\) 1.29625e12 1.29625e12i 0.205373 0.205373i
\(700\) 9.92992e12 2.39730e13i 1.56316 3.77381i
\(701\) 9.89561e12i 1.54779i 0.633315 + 0.773894i \(0.281694\pi\)
−0.633315 + 0.773894i \(0.718306\pi\)
\(702\) 6.71065e12 + 2.77964e12i 1.04291 + 0.431988i
\(703\) 2.84239e11 + 6.86213e11i 0.0438919 + 0.105964i
\(704\) −1.27779e13 + 5.29277e12i −1.96057 + 0.812093i
\(705\) 1.76523e12 + 1.76523e12i 0.269122 + 0.269122i
\(706\) 4.22584e12 + 4.22584e12i 0.640164 + 0.640164i
\(707\) 1.26666e13 5.24666e12i 1.90665 0.789761i
\(708\) 2.42508e11 + 5.85467e11i 0.0362724 + 0.0875694i
\(709\) 4.34645e12 + 1.80036e12i 0.645991 + 0.267578i 0.681530 0.731790i \(-0.261315\pi\)
−0.0355393 + 0.999368i \(0.511315\pi\)
\(710\) 2.44972e12i 0.361788i
\(711\) −2.76403e12 + 6.67296e12i −0.405630 + 0.979277i
\(712\) 6.48137e12 6.48137e12i 0.945164 0.945164i
\(713\) 4.89767e12 0.709719
\(714\) −3.88942e12 2.25883e12i −0.560071 0.325268i
\(715\) 1.94917e13 2.78916
\(716\) 3.17418e12 3.17418e12i 0.451360 0.451360i
\(717\) −4.62137e11 + 1.11570e12i −0.0653033 + 0.157656i
\(718\) 1.62289e13i 2.27893i
\(719\) −9.77952e12 4.05081e12i −1.36470 0.565278i −0.424355 0.905496i \(-0.639499\pi\)
−0.940347 + 0.340218i \(0.889499\pi\)
\(720\) 8.35286e11 + 2.01656e12i 0.115835 + 0.279650i
\(721\) −3.34582e12 + 1.38589e12i −0.461099 + 0.190994i
\(722\) −6.28171e12 6.28171e12i −0.860321 0.860321i
\(723\) −2.79827e12 2.79827e12i −0.380862 0.380862i
\(724\) 4.31834e12 1.78872e12i 0.584109 0.241946i
\(725\) 2.10075e12 + 5.07166e12i 0.282393 + 0.681756i
\(726\) 2.27836e12 + 9.43729e11i 0.304374 + 0.126076i
\(727\) 8.87601e11i 0.117845i −0.998263 0.0589227i \(-0.981233\pi\)
0.998263 0.0589227i \(-0.0187666\pi\)
\(728\) −4.14417e12 + 1.00049e13i −0.546822 + 1.32015i
\(729\) −2.72498e12 + 2.72498e12i −0.357347 + 0.357347i
\(730\) 1.23402e12 0.160830
\(731\) −1.43250e12 8.31946e11i −0.185553 0.107762i
\(732\) 2.24960e12 0.289604
\(733\) 2.52713e12 2.52713e12i 0.323341 0.323341i −0.526707 0.850047i \(-0.676573\pi\)
0.850047 + 0.526707i \(0.176573\pi\)
\(734\) −5.03956e12 + 1.21666e13i −0.640856 + 1.54716i
\(735\) 3.51441e12i 0.444181i
\(736\) 6.83856e12 + 2.83262e12i 0.859042 + 0.355827i
\(737\) −3.01033e12 7.26757e12i −0.375846 0.907373i
\(738\) 1.49456e13 6.19069e12i 1.85465 0.768219i
\(739\) 3.54381e12 + 3.54381e12i 0.437089 + 0.437089i 0.891031 0.453942i \(-0.149983\pi\)
−0.453942 + 0.891031i \(0.649983\pi\)
\(740\) −3.58739e12 3.58739e12i −0.439780 0.439780i
\(741\) 1.36486e12 5.65345e11i 0.166306 0.0688862i
\(742\) 1.35782e12 + 3.27806e12i 0.164446 + 0.397008i
\(743\) −9.32339e12 3.86187e12i −1.12234 0.464888i −0.257169 0.966366i \(-0.582790\pi\)
−0.865170 + 0.501478i \(0.832790\pi\)
\(744\) 1.83112e12i 0.219098i
\(745\) −6.12445e12 + 1.47857e13i −0.728389 + 1.75849i
\(746\) −1.32979e13 + 1.32979e13i −1.57202 + 1.57202i
\(747\) −3.29360e12 −0.387016
\(748\) −1.35385e13 + 1.03336e13i −1.58130 + 1.20696i
\(749\) −2.30297e13 −2.67374
\(750\) 4.77926e12 4.77926e12i 0.551550 0.551550i
\(751\) −2.17823e12 + 5.25872e12i −0.249876 + 0.603254i −0.998193 0.0600869i \(-0.980862\pi\)
0.748317 + 0.663341i \(0.230862\pi\)
\(752\) 1.25772e12i 0.143418i
\(753\) −3.45980e12 1.43310e12i −0.392169 0.162442i
\(754\) −2.53719e12 6.12532e12i −0.285879 0.690173i
\(755\) 1.69091e13 7.00399e12i 1.89391 0.784484i
\(756\) 7.55448e12 + 7.55448e12i 0.841118 + 0.841118i
\(757\) −1.67432e12 1.67432e12i −0.185313 0.185313i 0.608353 0.793666i \(-0.291830\pi\)
−0.793666 + 0.608353i \(0.791830\pi\)
\(758\) −6.99401e12 + 2.89702e12i −0.769511 + 0.318742i
\(759\) −1.10134e12 2.65888e12i −0.120458 0.290810i
\(760\) −5.94352e12 2.46189e12i