Properties

Label 43.8.g.a.9.10
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.10
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.70223 - 3.38849i) q^{2} +(-50.7403 - 7.64788i) q^{3} +(24.3029 - 106.478i) q^{4} +(-388.722 - 265.026i) q^{5} +(111.197 + 192.599i) q^{6} +(811.865 - 1406.19i) q^{7} +(-926.290 + 446.078i) q^{8} +(426.254 + 131.482i) q^{9} +O(q^{10})\) \(q+(-2.70223 - 3.38849i) q^{2} +(-50.7403 - 7.64788i) q^{3} +(24.3029 - 106.478i) q^{4} +(-388.722 - 265.026i) q^{5} +(111.197 + 192.599i) q^{6} +(811.865 - 1406.19i) q^{7} +(-926.290 + 446.078i) q^{8} +(426.254 + 131.482i) q^{9} +(152.378 + 2033.34i) q^{10} +(-272.163 - 1192.42i) q^{11} +(-2047.46 + 5216.86i) q^{12} +(377.290 - 5034.58i) q^{13} +(-6958.71 + 1048.86i) q^{14} +(17697.0 + 16420.4i) q^{15} +(-8580.66 - 4132.23i) q^{16} +(-14540.7 + 9913.68i) q^{17} +(-706.312 - 1799.65i) q^{18} +(25096.2 - 7741.15i) q^{19} +(-37666.5 + 34949.4i) q^{20} +(-51948.7 + 65141.6i) q^{21} +(-3305.07 + 4144.42i) q^{22} +(6932.73 - 6432.64i) q^{23} +(50411.8 - 15550.0i) q^{24} +(52323.7 + 133319. i) q^{25} +(-18079.1 + 12326.1i) q^{26} +(80486.3 + 38760.2i) q^{27} +(-129998. - 120620. i) q^{28} +(50903.1 - 7672.40i) q^{29} +(7819.04 - 104338. i) q^{30} +(89334.4 - 227620. i) q^{31} +(38468.1 + 168540. i) q^{32} +(4690.13 + 62585.4i) q^{33} +(72884.7 + 22481.9i) q^{34} +(-688267. + 331452. i) q^{35} +(24359.1 - 42191.2i) q^{36} +(-45569.4 - 78928.5i) q^{37} +(-94046.5 - 64119.8i) q^{38} +(-57647.6 + 252571. i) q^{39} +(478292. + 72090.8i) q^{40} +(-153062. - 191934. i) q^{41} +361109. q^{42} +(489022. - 180764. i) q^{43} -133581. q^{44} +(-130848. - 164079. i) q^{45} +(-40530.8 - 6109.03i) q^{46} +(277064. - 1.21390e6i) q^{47} +(403783. + 275295. i) q^{48} +(-906478. - 1.57007e6i) q^{49} +(310358. - 537555. i) q^{50} +(813618. - 391818. i) q^{51} +(-526902. - 162528. i) q^{52} +(1115.74 + 14888.5i) q^{53} +(-86154.1 - 377466. i) q^{54} +(-210228. + 535651. i) q^{55} +(-124752. + 1.66470e6i) q^{56} +(-1.33259e6 + 200856. i) q^{57} +(-163550. - 151752. i) q^{58} +(2.37248e6 + 1.14253e6i) q^{59} +(2.17850e6 - 1.48527e6i) q^{60} +(210266. + 535749. i) q^{61} +(-1.01269e6 + 312374. i) q^{62} +(530950. - 492650. i) q^{63} +(-292919. + 367309. i) q^{64} +(-1.48096e6 + 1.85706e6i) q^{65} +(199396. - 185013. i) q^{66} +(-3.59971e6 + 1.11036e6i) q^{67} +(702206. + 1.78919e6i) q^{68} +(-400965. + 273373. i) q^{69} +(2.98298e6 + 1.43653e6i) q^{70} +(-1.99013e6 - 1.84657e6i) q^{71} +(-453486. + 68352.0i) q^{72} +(-348525. + 4.65074e6i) q^{73} +(-144309. + 367694. i) q^{74} +(-1.63532e6 - 7.16479e6i) q^{75} +(-214351. - 2.86032e6i) q^{76} +(-1.89773e6 - 585374. i) q^{77} +(1.01161e6 - 487166. i) q^{78} +(-1.62323e6 + 2.81152e6i) q^{79} +(2.24034e6 + 3.88039e6i) q^{80} +(-4.59351e6 - 3.13181e6i) q^{81} +(-236757. + 1.03730e6i) q^{82} +(5.91025e6 + 890826. i) q^{83} +(5.67363e6 + 7.11451e6i) q^{84} +8.27967e6 q^{85} +(-1.93397e6 - 1.16858e6i) q^{86} -2.64152e6 q^{87} +(784015. + 983124. i) q^{88} +(2.06561e6 + 311340. i) q^{89} +(-202396. + 886756. i) q^{90} +(-6.77327e6 - 4.61794e6i) q^{91} +(-516448. - 894514. i) q^{92} +(-6.27367e6 + 1.08663e7i) q^{93} +(-4.86197e6 + 2.34140e6i) q^{94} +(-1.18070e7 - 3.64199e6i) q^{95} +(-662913. - 8.84596e6i) q^{96} +(195058. + 854605. i) q^{97} +(-2.87064e6 + 7.31427e6i) q^{98} +(40771.7 - 544060. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.70223 3.38849i −0.238846 0.299503i 0.647933 0.761697i \(-0.275634\pi\)
−0.886779 + 0.462194i \(0.847062\pi\)
\(3\) −50.7403 7.64788i −1.08500 0.163537i −0.417890 0.908498i \(-0.637230\pi\)
−0.667108 + 0.744961i \(0.732468\pi\)
\(4\) 24.3029 106.478i 0.189866 0.831858i
\(5\) −388.722 265.026i −1.39073 0.948187i −0.999612 0.0278477i \(-0.991135\pi\)
−0.391122 0.920339i \(-0.627913\pi\)
\(6\) 111.197 + 192.599i 0.210167 + 0.364020i
\(7\) 811.865 1406.19i 0.894624 1.54953i 0.0603557 0.998177i \(-0.480777\pi\)
0.834269 0.551358i \(-0.185890\pi\)
\(8\) −926.290 + 446.078i −0.639635 + 0.308032i
\(9\) 426.254 + 131.482i 0.194904 + 0.0601198i
\(10\) 152.378 + 2033.34i 0.0481861 + 0.642999i
\(11\) −272.163 1192.42i −0.0616530 0.270120i 0.934701 0.355435i \(-0.115667\pi\)
−0.996354 + 0.0853156i \(0.972810\pi\)
\(12\) −2047.46 + 5216.86i −0.342044 + 0.871514i
\(13\) 377.290 5034.58i 0.0476292 0.635567i −0.921399 0.388618i \(-0.872953\pi\)
0.969028 0.246950i \(-0.0794282\pi\)
\(14\) −6958.71 + 1048.86i −0.677767 + 0.102157i
\(15\) 17697.0 + 16420.4i 1.35388 + 1.25622i
\(16\) −8580.66 4132.23i −0.523722 0.252211i
\(17\) −14540.7 + 9913.68i −0.717817 + 0.489400i −0.866305 0.499515i \(-0.833512\pi\)
0.148488 + 0.988914i \(0.452559\pi\)
\(18\) −706.312 1799.65i −0.0285458 0.0727336i
\(19\) 25096.2 7741.15i 0.839402 0.258921i 0.154898 0.987930i \(-0.450495\pi\)
0.684504 + 0.729009i \(0.260019\pi\)
\(20\) −37666.5 + 34949.4i −1.05281 + 0.976865i
\(21\) −51948.7 + 65141.6i −1.22407 + 1.53494i
\(22\) −3305.07 + 4144.42i −0.0661760 + 0.0829821i
\(23\) 6932.73 6432.64i 0.118811 0.110241i −0.618530 0.785761i \(-0.712272\pi\)
0.737341 + 0.675521i \(0.236081\pi\)
\(24\) 50411.8 15550.0i 0.744377 0.229610i
\(25\) 52323.7 + 133319.i 0.669743 + 1.70648i
\(26\) −18079.1 + 12326.1i −0.201730 + 0.137537i
\(27\) 80486.3 + 38760.2i 0.786953 + 0.378977i
\(28\) −129998. 120620.i −1.11913 1.03840i
\(29\) 50903.1 7672.40i 0.387571 0.0584169i 0.0476331 0.998865i \(-0.484832\pi\)
0.339938 + 0.940448i \(0.389594\pi\)
\(30\) 7819.04 104338.i 0.0528724 0.705533i
\(31\) 89334.4 227620.i 0.538583 1.37229i −0.359782 0.933037i \(-0.617149\pi\)
0.898365 0.439250i \(-0.144756\pi\)
\(32\) 38468.1 + 168540.i 0.207527 + 0.909237i
\(33\) 4690.13 + 62585.4i 0.0227188 + 0.303162i
\(34\) 72884.7 + 22481.9i 0.318024 + 0.0980975i
\(35\) −688267. + 331452.i −2.71343 + 1.30672i
\(36\) 24359.1 42191.2i 0.0870168 0.150717i
\(37\) −45569.4 78928.5i −0.147900 0.256170i 0.782551 0.622586i \(-0.213918\pi\)
−0.930451 + 0.366416i \(0.880585\pi\)
\(38\) −94046.5 64119.8i −0.278035 0.189561i
\(39\) −57647.6 + 252571.i −0.155616 + 0.681800i
\(40\) 478292. + 72090.8i 1.18163 + 0.178103i
\(41\) −153062. 191934.i −0.346836 0.434919i 0.577562 0.816347i \(-0.304004\pi\)
−0.924399 + 0.381427i \(0.875433\pi\)
\(42\) 361109. 0.752083
\(43\) 489022. 180764.i 0.937971 0.346715i
\(44\) −133581. −0.236407
\(45\) −130848. 164079.i −0.214054 0.268416i
\(46\) −40530.8 6109.03i −0.0613949 0.00925379i
\(47\) 277064. 1.21390e6i 0.389258 1.70545i −0.277964 0.960592i \(-0.589659\pi\)
0.667222 0.744859i \(-0.267483\pi\)
\(48\) 403783. + 275295.i 0.526991 + 0.359297i
\(49\) −906478. 1.57007e6i −1.10071 1.90648i
\(50\) 310358. 537555.i 0.351130 0.608175i
\(51\) 813618. 391818.i 0.858865 0.413608i
\(52\) −526902. 162528.i −0.519658 0.160293i
\(53\) 1115.74 + 14888.5i 0.00102943 + 0.0137368i 0.997695 0.0678599i \(-0.0216171\pi\)
−0.996665 + 0.0815967i \(0.973998\pi\)
\(54\) −86154.1 377466.i −0.0744557 0.326212i
\(55\) −210228. + 535651.i −0.170381 + 0.434123i
\(56\) −124752. + 1.66470e6i −0.0949267 + 1.26671i
\(57\) −1.33259e6 + 200856.i −0.953093 + 0.143656i
\(58\) −163550. 151752.i −0.110066 0.102126i
\(59\) 2.37248e6 + 1.14253e6i 1.50390 + 0.724242i 0.990957 0.134178i \(-0.0428392\pi\)
0.512948 + 0.858420i \(0.328554\pi\)
\(60\) 2.17850e6 1.48527e6i 1.30205 0.887723i
\(61\) 210266. + 535749.i 0.118608 + 0.302209i 0.977832 0.209391i \(-0.0671482\pi\)
−0.859224 + 0.511600i \(0.829053\pi\)
\(62\) −1.01269e6 + 312374.i −0.539642 + 0.166458i
\(63\) 530950. 492650.i 0.267523 0.248225i
\(64\) −292919. + 367309.i −0.139675 + 0.175147i
\(65\) −1.48096e6 + 1.85706e6i −0.668876 + 0.838744i
\(66\) 199396. 185013.i 0.0853715 0.0792132i
\(67\) −3.59971e6 + 1.11036e6i −1.46220 + 0.451028i −0.920899 0.389802i \(-0.872543\pi\)
−0.541299 + 0.840830i \(0.682067\pi\)
\(68\) 702206. + 1.78919e6i 0.270822 + 0.690042i
\(69\) −400965. + 273373.i −0.146938 + 0.100181i
\(70\) 2.98298e6 + 1.43653e6i 1.03946 + 0.500577i
\(71\) −1.99013e6 1.84657e6i −0.659899 0.612297i 0.277429 0.960746i \(-0.410518\pi\)
−0.937327 + 0.348450i \(0.886708\pi\)
\(72\) −453486. + 68352.0i −0.143186 + 0.0215818i
\(73\) −348525. + 4.65074e6i −0.104859 + 1.39924i 0.658167 + 0.752872i \(0.271332\pi\)
−0.763026 + 0.646368i \(0.776287\pi\)
\(74\) −144309. + 367694.i −0.0413984 + 0.105481i
\(75\) −1.63532e6 7.16479e6i −0.447597 1.96105i
\(76\) −214351. 2.86032e6i −0.0560117 0.747424i
\(77\) −1.89773e6 585374.i −0.473716 0.146122i
\(78\) 1.01161e6 487166.i 0.241369 0.116237i
\(79\) −1.62323e6 + 2.81152e6i −0.370412 + 0.641572i −0.989629 0.143648i \(-0.954117\pi\)
0.619217 + 0.785220i \(0.287450\pi\)
\(80\) 2.24034e6 + 3.88039e6i 0.489215 + 0.847345i
\(81\) −4.59351e6 3.13181e6i −0.960390 0.654783i
\(82\) −236757. + 1.03730e6i −0.0474192 + 0.207757i
\(83\) 5.91025e6 + 890826.i 1.13457 + 0.171009i 0.689362 0.724417i \(-0.257891\pi\)
0.445210 + 0.895426i \(0.353129\pi\)
\(84\) 5.67363e6 + 7.11451e6i 1.04444 + 1.30969i
\(85\) 8.27967e6 1.46234
\(86\) −1.93397e6 1.16858e6i −0.327872 0.198114i
\(87\) −2.64152e6 −0.430067
\(88\) 784015. + 983124.i 0.122641 + 0.153787i
\(89\) 2.06561e6 + 311340.i 0.310587 + 0.0468134i 0.302486 0.953154i \(-0.402183\pi\)
0.00810049 + 0.999967i \(0.497422\pi\)
\(90\) −202396. + 886756.i −0.0292653 + 0.128220i
\(91\) −6.77327e6 4.61794e6i −0.942223 0.642397i
\(92\) −516448. 894514.i −0.0691463 0.119765i
\(93\) −6.27367e6 + 1.08663e7i −0.808781 + 1.40085i
\(94\) −4.86197e6 + 2.34140e6i −0.603760 + 0.290756i
\(95\) −1.18070e7 3.64199e6i −1.41289 0.435819i
\(96\) −662913. 8.84596e6i −0.0764728 1.02046i
\(97\) 195058. + 854605.i 0.0217001 + 0.0950745i 0.984618 0.174719i \(-0.0559017\pi\)
−0.962918 + 0.269794i \(0.913045\pi\)
\(98\) −2.87064e6 + 7.31427e6i −0.308097 + 0.785019i
\(99\) 40771.7 544060.i 0.00422314 0.0563538i
\(100\) 1.54671e7 2.33129e6i 1.54671 0.233129i
\(101\) −4.35365e6 4.03959e6i −0.420463 0.390133i 0.441369 0.897326i \(-0.354493\pi\)
−0.861833 + 0.507192i \(0.830683\pi\)
\(102\) −3.52625e6 1.69815e6i −0.329013 0.158444i
\(103\) −4.01339e6 + 2.73629e6i −0.361894 + 0.246735i −0.730592 0.682814i \(-0.760756\pi\)
0.368698 + 0.929549i \(0.379804\pi\)
\(104\) 1.89633e6 + 4.83178e6i 0.165310 + 0.421202i
\(105\) 3.74578e7 1.15542e7i 3.15777 0.974042i
\(106\) 47434.4 44012.7i 0.00386832 0.00358928i
\(107\) −558164. + 699916.i −0.0440473 + 0.0552335i −0.803367 0.595484i \(-0.796960\pi\)
0.759320 + 0.650717i \(0.225532\pi\)
\(108\) 6.08315e6 7.62802e6i 0.464670 0.582678i
\(109\) 1.55887e7 1.44642e7i 1.15297 1.06980i 0.156341 0.987703i \(-0.450030\pi\)
0.996625 0.0820932i \(-0.0261605\pi\)
\(110\) 2.38313e6 735099.i 0.170716 0.0526589i
\(111\) 1.70857e6 + 4.35337e6i 0.118578 + 0.302131i
\(112\) −1.27770e7 + 8.71124e6i −0.859345 + 0.585891i
\(113\) −1.77187e7 8.53289e6i −1.15520 0.556316i −0.244610 0.969622i \(-0.578660\pi\)
−0.910592 + 0.413306i \(0.864374\pi\)
\(114\) 4.28157e6 + 3.97272e6i 0.270667 + 0.251143i
\(115\) −4.39972e6 + 663151.i −0.269763 + 0.0406603i
\(116\) 420150. 5.60651e6i 0.0249920 0.333495i
\(117\) 822778. 2.09640e6i 0.0474933 0.121011i
\(118\) −2.53955e6 1.11265e7i −0.142288 0.623406i
\(119\) 2.13545e6 + 2.84956e7i 0.116165 + 1.55011i
\(120\) −2.37173e7 7.31583e6i −1.25294 0.386482i
\(121\) 1.62095e7 7.80610e6i 0.831805 0.400576i
\(122\) 1.24719e6 2.16020e6i 0.0621833 0.107705i
\(123\) 6.29854e6 + 1.09094e7i 0.305191 + 0.528607i
\(124\) −2.20654e7 1.50440e7i −1.03929 0.708575i
\(125\) 6.81465e6 2.98569e7i 0.312074 1.36729i
\(126\) −3.10409e6 467866.i −0.138241 0.0208365i
\(127\) −2.67841e7 3.35861e7i −1.16028 1.45495i −0.866572 0.499052i \(-0.833682\pi\)
−0.293709 0.955895i \(-0.594890\pi\)
\(128\) 2.41640e7 1.01844
\(129\) −2.61956e7 + 5.43204e6i −1.07440 + 0.222792i
\(130\) 1.02945e7 0.410964
\(131\) 1.99402e7 + 2.50042e7i 0.774962 + 0.971771i 0.999997 0.00257945i \(-0.000821066\pi\)
−0.225035 + 0.974351i \(0.572250\pi\)
\(132\) 6.77794e6 + 1.02161e6i 0.256501 + 0.0386613i
\(133\) 9.48918e6 4.15748e7i 0.349742 1.53232i
\(134\) 1.34897e7 + 9.19712e6i 0.484324 + 0.330206i
\(135\) −2.10143e7 3.63979e7i −0.735102 1.27323i
\(136\) 9.04663e6 1.56692e7i 0.308390 0.534147i
\(137\) −1.96215e7 + 9.44922e6i −0.651944 + 0.313960i −0.730462 0.682953i \(-0.760695\pi\)
0.0785184 + 0.996913i \(0.474981\pi\)
\(138\) 2.00982e6 + 619948.i 0.0651000 + 0.0200807i
\(139\) 2.03331e6 + 2.71326e7i 0.0642172 + 0.856919i 0.932574 + 0.360979i \(0.117557\pi\)
−0.868357 + 0.495940i \(0.834824\pi\)
\(140\) 1.85654e7 + 8.13405e7i 0.571817 + 2.50529i
\(141\) −2.33421e7 + 5.94746e7i −0.701249 + 1.78675i
\(142\) −879296. + 1.17334e7i −0.0257707 + 0.343886i
\(143\) −6.10603e6 + 920336.i −0.174616 + 0.0263191i
\(144\) −3.11423e6 2.88958e6i −0.0869124 0.0806430i
\(145\) −2.18205e7 1.05082e7i −0.594398 0.286247i
\(146\) 1.67008e7 1.13864e7i 0.444122 0.302797i
\(147\) 3.39873e7 + 8.65984e7i 0.882484 + 2.24853i
\(148\) −9.51160e6 + 2.93394e6i −0.241178 + 0.0743936i
\(149\) 5.75751e7 5.34219e7i 1.42588 1.32302i 0.554707 0.832046i \(-0.312830\pi\)
0.871173 0.490977i \(-0.163360\pi\)
\(150\) −1.98588e7 + 2.49022e7i −0.480434 + 0.602445i
\(151\) −5.63556e6 + 7.06677e6i −0.133204 + 0.167033i −0.843960 0.536406i \(-0.819782\pi\)
0.710756 + 0.703439i \(0.248353\pi\)
\(152\) −1.97932e7 + 1.83654e7i −0.457155 + 0.424178i
\(153\) −7.50150e6 + 2.31391e6i −0.169328 + 0.0522307i
\(154\) 3.14458e6 + 8.01227e6i 0.0693810 + 0.176780i
\(155\) −9.50516e7 + 6.48051e7i −2.05021 + 1.39781i
\(156\) 2.54922e7 + 1.22764e7i 0.537614 + 0.258901i
\(157\) 4.39788e7 + 4.08063e7i 0.906973 + 0.841548i 0.987887 0.155173i \(-0.0495937\pi\)
−0.0809147 + 0.996721i \(0.525784\pi\)
\(158\) 1.39131e7 2.09707e6i 0.280624 0.0422973i
\(159\) 57252.2 763978.i 0.00112954 0.0150727i
\(160\) 2.97140e7 7.57101e7i 0.573511 1.46128i
\(161\) −3.41707e6 1.49712e7i −0.0645303 0.282726i
\(162\) 1.80064e6 + 2.40279e7i 0.0332756 + 0.444032i
\(163\) −5.31927e7 1.64078e7i −0.962045 0.296752i −0.226336 0.974049i \(-0.572675\pi\)
−0.735709 + 0.677298i \(0.763151\pi\)
\(164\) −2.41566e7 + 1.16332e7i −0.427643 + 0.205942i
\(165\) 1.47636e7 2.55713e7i 0.255858 0.443159i
\(166\) −1.29523e7 2.24340e7i −0.219770 0.380653i
\(167\) −4.39650e7 2.99748e7i −0.730465 0.498023i 0.140062 0.990143i \(-0.455270\pi\)
−0.870527 + 0.492120i \(0.836222\pi\)
\(168\) 1.90613e7 8.35131e7i 0.310149 1.35885i
\(169\) 3.68430e7 + 5.55319e6i 0.587154 + 0.0884992i
\(170\) −2.23736e7 2.80556e7i −0.349272 0.437974i
\(171\) 1.17152e7 0.179169
\(172\) −7.36271e6 5.64631e7i −0.110329 0.846088i
\(173\) −5.67826e7 −0.833785 −0.416893 0.908956i \(-0.636881\pi\)
−0.416893 + 0.908956i \(0.636881\pi\)
\(174\) 7.13798e6 + 8.95075e6i 0.102720 + 0.128806i
\(175\) 2.29951e8 + 3.46596e7i 3.24341 + 0.488866i
\(176\) −2.59203e6 + 1.13564e7i −0.0358381 + 0.157017i
\(177\) −1.11643e8 7.61166e7i −1.51329 1.03175i
\(178\) −4.52677e6 7.84060e6i −0.0601615 0.104203i
\(179\) −7.29273e7 + 1.26314e8i −0.950396 + 1.64613i −0.205828 + 0.978588i \(0.565989\pi\)
−0.744569 + 0.667546i \(0.767345\pi\)
\(180\) −2.06507e7 + 9.94486e6i −0.263925 + 0.127100i
\(181\) −1.27658e7 3.93774e6i −0.160020 0.0493597i 0.213710 0.976897i \(-0.431445\pi\)
−0.373730 + 0.927537i \(0.621921\pi\)
\(182\) 2.65510e6 + 3.54299e7i 0.0326461 + 0.435632i
\(183\) −6.57163e6 2.87922e7i −0.0792673 0.347293i
\(184\) −3.55226e6 + 9.05102e6i −0.0420381 + 0.107111i
\(185\) −3.20429e6 + 4.27583e7i −0.0372076 + 0.496501i
\(186\) 5.37733e7 8.10502e6i 0.612733 0.0923546i
\(187\) 1.57787e7 + 1.46405e7i 0.176452 + 0.163723i
\(188\) −1.22520e8 5.90023e7i −1.34479 0.647615i
\(189\) 1.19848e8 8.17111e7i 1.29126 0.880369i
\(190\) 1.95645e7 + 4.98495e7i 0.206934 + 0.527258i
\(191\) 6.86515e7 2.11762e7i 0.712907 0.219903i 0.0829737 0.996552i \(-0.473558\pi\)
0.629934 + 0.776649i \(0.283082\pi\)
\(192\) 1.76719e7 1.63972e7i 0.180190 0.167192i
\(193\) 9.18011e6 1.15115e7i 0.0919173 0.115261i −0.733746 0.679424i \(-0.762230\pi\)
0.825663 + 0.564163i \(0.190801\pi\)
\(194\) 2.36873e6 2.97029e6i 0.0232921 0.0292074i
\(195\) 8.93468e7 8.29017e7i 0.862895 0.800649i
\(196\) −1.89207e8 + 5.83627e7i −1.79491 + 0.553655i
\(197\) 9.48630e6 + 2.41707e7i 0.0884026 + 0.225246i 0.968237 0.250034i \(-0.0804419\pi\)
−0.879834 + 0.475280i \(0.842347\pi\)
\(198\) −1.95372e6 + 1.33202e6i −0.0178868 + 0.0121950i
\(199\) 1.47484e8 + 7.10246e7i 1.32666 + 0.638885i 0.956947 0.290261i \(-0.0937422\pi\)
0.369712 + 0.929147i \(0.379456\pi\)
\(200\) −1.07937e8 1.00151e8i −0.954040 0.885220i
\(201\) 1.91143e8 2.88101e7i 1.66024 0.250241i
\(202\) −1.92356e6 + 2.56682e7i −0.0164201 + 0.219112i
\(203\) 3.05375e7 7.78084e7i 0.256211 0.652815i
\(204\) −2.19467e7 9.61546e7i −0.180993 0.792984i
\(205\) 8.63113e6 + 1.15174e8i 0.0699728 + 0.933722i
\(206\) 2.01170e7 + 6.20527e6i 0.160335 + 0.0494567i
\(207\) 3.80088e6 1.83041e6i 0.0297844 0.0143434i
\(208\) −2.40414e7 + 4.16410e7i −0.185242 + 0.320848i
\(209\) −1.60610e7 2.78184e7i −0.121691 0.210776i
\(210\) −1.40371e8 9.57033e7i −1.04595 0.713115i
\(211\) 2.95703e6 1.29556e7i 0.0216704 0.0949441i −0.962936 0.269729i \(-0.913066\pi\)
0.984607 + 0.174785i \(0.0559230\pi\)
\(212\) 1.61241e6 + 243031.i 0.0116225 + 0.00175181i
\(213\) 8.68575e7 + 1.08916e8i 0.615856 + 0.772258i
\(214\) 3.87995e6 0.0270631
\(215\) −2.38001e8 5.93368e7i −1.63322 0.407183i
\(216\) −9.18437e7 −0.620099
\(217\) −2.47550e8 3.10418e8i −1.64458 2.06223i
\(218\) −9.11359e7 1.37365e7i −0.595788 0.0898006i
\(219\) 5.32526e7 2.33315e8i 0.342599 1.50102i
\(220\) 5.19259e7 + 3.54024e7i 0.328779 + 0.224158i
\(221\) 4.44251e7 + 7.69466e7i 0.276857 + 0.479531i
\(222\) 1.01344e7 1.75533e7i 0.0621673 0.107677i
\(223\) 2.33041e8 1.12227e8i 1.40723 0.677686i 0.432615 0.901579i \(-0.357591\pi\)
0.974614 + 0.223893i \(0.0718765\pi\)
\(224\) 2.68230e8 + 8.27380e7i 1.59455 + 0.491855i
\(225\) 4.77420e6 + 6.37072e7i 0.0279422 + 0.372863i
\(226\) 1.89665e7 + 8.30975e7i 0.109297 + 0.478860i
\(227\) −1.17097e8 + 2.98359e8i −0.664442 + 1.69297i 0.0550636 + 0.998483i \(0.482464\pi\)
−0.719505 + 0.694487i \(0.755631\pi\)
\(228\) −1.09991e7 + 1.46773e8i −0.0614590 + 0.820113i
\(229\) 2.30504e8 3.47429e7i 1.26840 0.191180i 0.519847 0.854260i \(-0.325989\pi\)
0.748549 + 0.663080i \(0.230751\pi\)
\(230\) 1.41361e7 + 1.31164e7i 0.0766097 + 0.0710834i
\(231\) 9.18148e7 + 4.42157e7i 0.490084 + 0.236012i
\(232\) −4.37285e7 + 2.98136e7i −0.229909 + 0.156750i
\(233\) 4.70038e7 + 1.19764e8i 0.243437 + 0.620268i 0.999410 0.0343346i \(-0.0109312\pi\)
−0.755973 + 0.654603i \(0.772836\pi\)
\(234\) −9.32698e6 + 2.87699e6i −0.0475867 + 0.0146785i
\(235\) −4.29415e8 + 3.98439e8i −2.15844 + 2.00274i
\(236\) 1.79312e8 2.24850e8i 0.888007 1.11353i
\(237\) 1.03865e8 1.30243e8i 0.506817 0.635529i
\(238\) 9.07865e7 8.42375e7i 0.436518 0.405029i
\(239\) −8.59397e6 + 2.65089e6i −0.0407194 + 0.0125603i −0.315048 0.949076i \(-0.602021\pi\)
0.274329 + 0.961636i \(0.411544\pi\)
\(240\) −8.39990e7 2.14026e8i −0.392225 0.999372i
\(241\) −2.90970e6 + 1.98380e6i −0.0133902 + 0.00912931i −0.569997 0.821647i \(-0.693056\pi\)
0.556606 + 0.830776i \(0.312103\pi\)
\(242\) −7.02528e7 3.38320e7i −0.318647 0.153452i
\(243\) 6.59075e7 + 6.11532e7i 0.294654 + 0.273399i
\(244\) 6.21554e7 9.36843e6i 0.273914 0.0412859i
\(245\) −6.37407e7 + 8.50560e8i −0.276908 + 3.69508i
\(246\) 1.99463e7 5.08222e7i 0.0854257 0.217661i
\(247\) −2.95049e7 1.29269e8i −0.124582 0.545829i
\(248\) 1.87868e7 + 2.50692e8i 0.0782117 + 1.04366i
\(249\) −2.93075e8 9.04017e7i −1.20304 0.371090i
\(250\) −1.19585e8 + 5.75889e7i −0.484044 + 0.233103i
\(251\) 1.64774e8 2.85397e8i 0.657705 1.13918i −0.323504 0.946227i \(-0.604861\pi\)
0.981208 0.192951i \(-0.0618059\pi\)
\(252\) −3.95526e7 6.85072e7i −0.155695 0.269671i
\(253\) −9.55725e6 6.51603e6i −0.0371032 0.0252965i
\(254\) −4.14296e7 + 1.81515e8i −0.158633 + 0.695015i
\(255\) −4.20113e8 6.33219e7i −1.58663 0.239146i
\(256\) −2.78031e7 3.48640e7i −0.103575 0.129878i
\(257\) −9.02745e7 −0.331741 −0.165871 0.986148i \(-0.553043\pi\)
−0.165871 + 0.986148i \(0.553043\pi\)
\(258\) 8.91930e7 + 7.40850e7i 0.323342 + 0.268572i
\(259\) −1.47985e8 −0.529259
\(260\) 1.61744e8 + 2.02821e8i 0.570719 + 0.715659i
\(261\) 2.27064e7 + 3.42244e6i 0.0790509 + 0.0119150i
\(262\) 3.08435e7 1.35134e8i 0.105952 0.464207i
\(263\) −3.58778e7 2.44610e7i −0.121613 0.0829144i 0.500986 0.865455i \(-0.332971\pi\)
−0.622599 + 0.782541i \(0.713923\pi\)
\(264\) −3.22624e7 5.58801e7i −0.107915 0.186915i
\(265\) 3.51212e6 6.08317e6i 0.0115933 0.0200803i
\(266\) −1.66518e8 + 8.01907e7i −0.542469 + 0.261239i
\(267\) −1.02429e8 3.15950e7i −0.329330 0.101585i
\(268\) 3.07458e7 + 4.10274e8i 0.0975696 + 1.30198i
\(269\) −7.80869e7 3.42121e8i −0.244594 1.07163i −0.936781 0.349917i \(-0.886210\pi\)
0.692187 0.721718i \(-0.256647\pi\)
\(270\) −6.65483e7 + 1.69562e8i −0.205761 + 0.524272i
\(271\) 3.56313e7 4.75467e8i 0.108752 1.45120i −0.629670 0.776863i \(-0.716810\pi\)
0.738422 0.674338i \(-0.235571\pi\)
\(272\) 1.65734e8 2.49804e7i 0.499369 0.0752677i
\(273\) 3.08361e8 + 2.86117e8i 0.917255 + 0.851088i
\(274\) 8.50404e7 + 4.09533e7i 0.249746 + 0.120271i
\(275\) 1.44732e8 9.86763e7i 0.419661 0.286120i
\(276\) 1.93636e7 + 4.93377e7i 0.0554376 + 0.141253i
\(277\) −3.93942e8 + 1.21515e8i −1.11366 + 0.343519i −0.796370 0.604810i \(-0.793249\pi\)
−0.317290 + 0.948328i \(0.602773\pi\)
\(278\) 8.64441e7 8.02084e7i 0.241312 0.223905i
\(279\) 6.80071e7 8.52782e7i 0.187473 0.235084i
\(280\) 4.89682e8 6.14041e8i 1.33309 1.67165i
\(281\) 2.74778e7 2.54957e7i 0.0738771 0.0685480i −0.642370 0.766395i \(-0.722049\pi\)
0.716247 + 0.697847i \(0.245858\pi\)
\(282\) 2.64605e8 8.16197e7i 0.702628 0.216732i
\(283\) 6.91748e7 + 1.76255e8i 0.181424 + 0.462261i 0.992435 0.122769i \(-0.0391776\pi\)
−0.811011 + 0.585031i \(0.801082\pi\)
\(284\) −2.44985e8 + 1.67028e8i −0.634636 + 0.432688i
\(285\) 5.71240e8 + 2.75095e8i 1.46171 + 0.703923i
\(286\) 1.96185e7 + 1.82033e7i 0.0495888 + 0.0460117i
\(287\) −3.94162e8 + 5.94103e7i −0.984211 + 0.148346i
\(288\) −5.76275e6 + 7.68986e7i −0.0142153 + 0.189690i
\(289\) −3.67628e7 + 9.36700e7i −0.0895913 + 0.228275i
\(290\) 2.33571e7 + 1.02334e8i 0.0562375 + 0.246393i
\(291\) −3.36140e6 4.48547e7i −0.00799639 0.106704i
\(292\) 4.86731e8 + 1.50137e8i 1.14406 + 0.352896i
\(293\) 1.36295e8 6.56362e7i 0.316550 0.152443i −0.268861 0.963179i \(-0.586647\pi\)
0.585412 + 0.810736i \(0.300933\pi\)
\(294\) 2.01596e8 3.49174e8i 0.462664 0.801358i
\(295\) −6.19436e8 1.07289e9i −1.40482 2.43321i
\(296\) 7.74187e7 + 5.27832e7i 0.173510 + 0.118297i
\(297\) 2.43131e7 1.06523e8i 0.0538509 0.235936i
\(298\) −3.36601e8 5.07344e7i −0.736814 0.111057i
\(299\) −2.97700e7 3.73304e7i −0.0644064 0.0807631i
\(300\) −8.02634e8 −1.71630
\(301\) 1.42831e8 8.34415e8i 0.301885 1.76360i
\(302\) 3.91743e7 0.0818421
\(303\) 1.90011e8 + 2.38266e8i 0.392401 + 0.492055i
\(304\) −2.47330e8 3.72790e7i −0.504916 0.0761039i
\(305\) 6.02525e7 2.63983e8i 0.121598 0.532755i
\(306\) 2.81114e7 + 1.91661e7i 0.0560865 + 0.0382391i
\(307\) 3.78349e8 + 6.55320e8i 0.746291 + 1.29261i 0.949589 + 0.313497i \(0.101501\pi\)
−0.203298 + 0.979117i \(0.565166\pi\)
\(308\) −1.08450e8 + 1.87840e8i −0.211495 + 0.366321i
\(309\) 2.24568e8 1.08146e8i 0.433005 0.208524i
\(310\) 4.76442e8 + 1.46963e8i 0.908332 + 0.280183i
\(311\) 2.49296e7 + 3.32663e8i 0.0469953 + 0.627108i 0.970123 + 0.242614i \(0.0780050\pi\)
−0.923128 + 0.384494i \(0.874376\pi\)
\(312\) −5.92678e7 2.59669e8i −0.110478 0.484038i
\(313\) 1.73924e8 4.43152e8i 0.320594 0.816860i −0.676190 0.736727i \(-0.736370\pi\)
0.996784 0.0801327i \(-0.0255344\pi\)
\(314\) 1.94311e7 2.59290e8i 0.0354195 0.472641i
\(315\) −3.36957e8 + 5.07881e7i −0.607418 + 0.0915535i
\(316\) 2.59915e8 + 2.41166e8i 0.463368 + 0.429943i
\(317\) −2.24428e8 1.08079e8i −0.395703 0.190561i 0.225441 0.974257i \(-0.427618\pi\)
−0.621144 + 0.783696i \(0.713332\pi\)
\(318\) −2.74344e6 + 1.87045e6i −0.00478410 + 0.00326175i
\(319\) −2.30027e7 5.86098e7i −0.0396744 0.101089i
\(320\) 2.11211e8 6.51498e7i 0.360322 0.111145i
\(321\) 3.36743e7 3.12452e7i 0.0568239 0.0527249i
\(322\) −4.14960e7 + 5.20343e7i −0.0692644 + 0.0868549i
\(323\) −2.88173e8 + 3.61357e8i −0.475821 + 0.596661i
\(324\) −4.45103e8 + 4.12996e8i −0.727032 + 0.674587i
\(325\) 6.90944e8 2.13128e8i 1.11648 0.344388i
\(326\) 8.81414e7 + 2.24581e8i 0.140902 + 0.359013i
\(327\) −9.01595e8 + 6.14697e8i −1.42592 + 0.972174i
\(328\) 2.27397e8 + 1.09509e8i 0.355817 + 0.171353i
\(329\) −1.48203e9 1.37513e9i −2.29442 2.12891i
\(330\) −1.26543e8 + 1.90733e7i −0.193838 + 0.0292164i
\(331\) −1.38683e7 + 1.85059e8i −0.0210196 + 0.280487i 0.976783 + 0.214231i \(0.0687245\pi\)
−0.997803 + 0.0662561i \(0.978895\pi\)
\(332\) 2.38489e8 6.07661e8i 0.357672 0.911334i
\(333\) −9.04647e6 3.96352e7i −0.0134253 0.0588201i
\(334\) 1.72342e7 + 2.29974e8i 0.0253091 + 0.337727i
\(335\) 1.69356e9 + 5.22395e8i 2.46119 + 0.759175i
\(336\) 7.14934e8 3.44294e8i 1.02820 0.495156i
\(337\) −5.76789e8 + 9.99028e8i −0.820942 + 1.42191i 0.0840403 + 0.996462i \(0.473218\pi\)
−0.904982 + 0.425450i \(0.860116\pi\)
\(338\) −8.07414e7 1.39848e8i −0.113733 0.196992i
\(339\) 8.33796e8 + 5.68472e8i 1.16241 + 0.792520i
\(340\) 2.01220e8 8.81601e8i 0.277648 1.21646i
\(341\) −2.95733e8 4.45746e7i −0.403887 0.0608761i
\(342\) −3.16571e7 3.96968e7i −0.0427937 0.0536616i
\(343\) −1.60654e9 −2.14962
\(344\) −3.72342e8 + 3.85582e8i −0.493159 + 0.510696i
\(345\) 2.28315e8 0.299342
\(346\) 1.53440e8 + 1.92407e8i 0.199146 + 0.249721i
\(347\) 2.86307e8 + 4.31538e7i 0.367856 + 0.0554454i 0.330370 0.943852i \(-0.392827\pi\)
0.0374870 + 0.999297i \(0.488065\pi\)
\(348\) −6.41964e7 + 2.81263e8i −0.0816551 + 0.357754i
\(349\) 1.89949e8 + 1.29505e8i 0.239193 + 0.163079i 0.676984 0.735998i \(-0.263287\pi\)
−0.437791 + 0.899077i \(0.644239\pi\)
\(350\) −5.03937e8 8.72845e8i −0.628258 1.08818i
\(351\) 2.25508e8 3.90591e8i 0.278347 0.482111i
\(352\) 1.90501e8 9.17404e7i 0.232808 0.112114i
\(353\) −1.40158e8 4.32331e7i −0.169593 0.0523124i 0.208796 0.977959i \(-0.433046\pi\)
−0.378389 + 0.925647i \(0.623522\pi\)
\(354\) 4.37635e7 + 5.83984e8i 0.0524326 + 0.699664i
\(355\) 2.84218e8 + 1.24524e9i 0.337172 + 1.47725i
\(356\) 8.33510e7 2.12375e8i 0.0979120 0.249476i
\(357\) 1.09577e8 1.46221e9i 0.127462 1.70087i
\(358\) 6.25079e8 9.42156e7i 0.720020 0.108526i
\(359\) −3.19436e8 2.96393e8i −0.364379 0.338094i 0.476641 0.879098i \(-0.341854\pi\)
−0.841020 + 0.541004i \(0.818045\pi\)
\(360\) 1.94395e8 + 9.36158e7i 0.219597 + 0.105752i
\(361\) −1.68658e8 + 1.14989e8i −0.188683 + 0.128642i
\(362\) 2.11533e7 + 5.38976e7i 0.0234367 + 0.0597158i
\(363\) −8.82177e8 + 2.72116e8i −0.968016 + 0.298594i
\(364\) −6.56318e8 + 6.08974e8i −0.713279 + 0.661826i
\(365\) 1.36805e9 1.71548e9i 1.47257 1.84655i
\(366\) −7.98039e7 + 1.00071e8i −0.0850825 + 0.106690i
\(367\) −3.17715e8 + 2.94796e8i −0.335510 + 0.311308i −0.829878 0.557945i \(-0.811590\pi\)
0.494368 + 0.869253i \(0.335400\pi\)
\(368\) −8.60685e7 + 2.65486e7i −0.0900279 + 0.0277699i
\(369\) −4.00076e7 1.01938e8i −0.0414524 0.105619i
\(370\) 1.53545e8 1.04685e8i 0.157590 0.107443i
\(371\) 2.18418e7 + 1.05185e7i 0.0222065 + 0.0106941i
\(372\) 1.00455e9 + 9.32089e8i 1.01175 + 0.938765i
\(373\) −1.10568e9 + 1.66655e8i −1.10319 + 0.166279i −0.675292 0.737550i \(-0.735982\pi\)
−0.427894 + 0.903829i \(0.640744\pi\)
\(374\) 6.97149e6 9.30281e7i 0.00689089 0.0919525i
\(375\) −5.74119e8 + 1.46283e9i −0.562203 + 1.43247i
\(376\) 2.84851e8 + 1.24801e9i 0.276350 + 1.21077i
\(377\) −1.94221e7 2.59170e8i −0.0186682 0.249109i
\(378\) −6.00735e8 1.85302e8i −0.572086 0.176465i
\(379\) 7.56814e7 3.64462e7i 0.0714088 0.0343887i −0.397839 0.917455i \(-0.630240\pi\)
0.469247 + 0.883067i \(0.344525\pi\)
\(380\) −6.74736e8 + 1.16868e9i −0.630800 + 1.09258i
\(381\) 1.10217e9 + 1.90901e9i 1.02097 + 1.76836i
\(382\) −2.57267e8 1.75402e8i −0.236136 0.160995i
\(383\) −3.52383e8 + 1.54389e9i −0.320494 + 1.40418i 0.516183 + 0.856478i \(0.327352\pi\)
−0.836677 + 0.547697i \(0.815505\pi\)
\(384\) −1.22609e9 1.84803e8i −1.10500 0.166552i
\(385\) 5.82552e8 + 7.30497e8i 0.520262 + 0.652388i
\(386\) −6.38133e7 −0.0564749
\(387\) 2.32215e8 1.27538e7i 0.203658 0.0111854i
\(388\) 9.57369e7 0.0832086
\(389\) −3.78604e8 4.74754e8i −0.326108 0.408926i 0.591569 0.806255i \(-0.298509\pi\)
−0.917677 + 0.397328i \(0.869937\pi\)
\(390\) −5.22347e8 7.87311e7i −0.445895 0.0672079i
\(391\) −3.70357e7 + 1.62264e8i −0.0313330 + 0.137279i
\(392\) 1.54003e9 + 1.04998e9i 1.29131 + 0.880397i
\(393\) −8.20544e8 1.42122e9i −0.681911 1.18110i
\(394\) 5.62680e7 9.74590e7i 0.0463473 0.0802759i
\(395\) 1.37611e9 6.62700e8i 1.12347 0.541037i
\(396\) −5.69394e7 1.75635e7i −0.0460766 0.0142127i
\(397\) −1.03572e8 1.38208e9i −0.0830762 1.10858i −0.870502 0.492165i \(-0.836206\pi\)
0.787425 0.616410i \(-0.211414\pi\)
\(398\) −1.57870e8 6.91673e8i −0.125519 0.549933i
\(399\) −7.99443e8 + 2.03695e9i −0.630061 + 1.60537i
\(400\) 1.01931e8 1.36017e9i 0.0796336 1.06264i
\(401\) 1.17640e9 1.77313e8i 0.911064 0.137321i 0.323247 0.946315i \(-0.395226\pi\)
0.587817 + 0.808994i \(0.299987\pi\)
\(402\) −6.14134e8 5.69833e8i −0.471489 0.437478i
\(403\) −1.11227e9 5.35640e8i −0.846528 0.407666i
\(404\) −5.35933e8 + 3.65393e8i −0.404367 + 0.275693i
\(405\) 9.55590e8 + 2.43480e9i 0.714791 + 1.82126i
\(406\) −3.46172e8 + 1.06780e8i −0.256715 + 0.0791861i
\(407\) −8.17139e7 + 7.58194e7i −0.0600780 + 0.0557442i
\(408\) −5.78865e8 + 7.25874e8i −0.421956 + 0.529116i
\(409\) −1.06054e8 + 1.32988e8i −0.0766473 + 0.0961127i −0.818677 0.574255i \(-0.805292\pi\)
0.742029 + 0.670367i \(0.233863\pi\)
\(410\) 3.66944e8 3.40474e8i 0.262940 0.243973i
\(411\) 1.06787e9 3.29394e8i 0.758702 0.234029i
\(412\) 1.93817e8 + 4.93837e8i 0.136537 + 0.347891i
\(413\) 3.53274e9 2.40858e9i 2.46767 1.68243i
\(414\) −1.64732e7 7.93306e6i −0.0114098 0.00549465i
\(415\) −2.06135e9 1.91265e9i −1.41574 1.31362i
\(416\) 8.63040e8 1.30082e8i 0.587765 0.0885914i
\(417\) 1.04336e8 1.39227e9i 0.0704625 0.940257i
\(418\) −5.08620e7 + 1.29594e8i −0.0340625 + 0.0867898i
\(419\) −4.26266e8 1.86759e9i −0.283094 1.24032i −0.893802 0.448461i \(-0.851972\pi\)
0.610708 0.791856i \(-0.290885\pi\)
\(420\) −3.19934e8 4.26923e9i −0.210712 2.81175i
\(421\) 1.51909e9 + 4.68576e8i 0.992191 + 0.306050i 0.748016 0.663681i \(-0.231007\pi\)
0.244175 + 0.969731i \(0.421483\pi\)
\(422\) −5.18904e7 + 2.49891e7i −0.0336119 + 0.0161867i
\(423\) 2.77705e8 4.81000e8i 0.178399 0.308996i
\(424\) −7.67490e6 1.32933e7i −0.00488981 0.00846940i
\(425\) −2.08250e9 1.41982e9i −1.31590 0.897167i
\(426\) 1.34351e8 5.88632e8i 0.0841993 0.368901i
\(427\) 9.24073e8 + 1.39282e8i 0.574393 + 0.0865758i
\(428\) 6.09605e7 + 7.64421e7i 0.0375834 + 0.0471280i
\(429\) 3.16861e8 0.193762
\(430\) 4.42071e8 + 9.66806e8i 0.268135 + 0.586408i
\(431\) 3.50603e8 0.210934 0.105467 0.994423i \(-0.466366\pi\)
0.105467 + 0.994423i \(0.466366\pi\)
\(432\) −5.30460e8 6.65176e8i −0.316562 0.396957i
\(433\) 1.08412e8 + 1.63404e7i 0.0641754 + 0.00967289i 0.181051 0.983474i \(-0.442050\pi\)
−0.116876 + 0.993147i \(0.537288\pi\)
\(434\) −3.82911e8 + 1.67764e9i −0.224845 + 0.985111i
\(435\) 1.02682e9 + 7.00071e8i 0.598108 + 0.407783i
\(436\) −1.16126e9 2.01137e9i −0.671009 1.16222i
\(437\) 1.24189e8 2.15102e8i 0.0711867 0.123299i
\(438\) −9.34485e8 + 4.50024e8i −0.531390 + 0.255904i
\(439\) −1.00777e9 3.10855e8i −0.568505 0.175360i −0.00284013 0.999996i \(-0.500904\pi\)
−0.565664 + 0.824636i \(0.691380\pi\)
\(440\) −4.42104e7 5.89946e8i −0.0247423 0.330163i
\(441\) −1.79955e8 7.88433e8i −0.0999144 0.437754i
\(442\) 1.40686e8 3.58461e8i 0.0774947 0.197453i
\(443\) −2.08506e8 + 2.78231e9i −0.113947 + 1.52052i 0.588330 + 0.808621i \(0.299785\pi\)
−0.702278 + 0.711903i \(0.747834\pi\)
\(444\) 5.05060e8 7.61256e7i 0.273844 0.0412753i
\(445\) −7.20434e8 6.68465e8i −0.387556 0.359599i
\(446\) −1.01001e9 4.86394e8i −0.539080 0.259607i
\(447\) −3.32994e9 + 2.27032e9i −1.76344 + 1.20229i
\(448\) 2.78696e8 + 7.10106e8i 0.146439 + 0.373121i
\(449\) 2.19878e9 6.78235e8i 1.14636 0.353605i 0.337337 0.941384i \(-0.390474\pi\)
0.809021 + 0.587780i \(0.199998\pi\)
\(450\) 2.02970e8 1.88329e8i 0.105000 0.0974256i
\(451\) −1.87209e8 + 2.34752e8i −0.0960966 + 0.120501i
\(452\) −1.33918e9 + 1.67928e9i −0.682110 + 0.855338i
\(453\) 3.39996e8 3.15470e8i 0.171842 0.159446i
\(454\) 1.32741e9 4.09452e8i 0.665748 0.205356i
\(455\) 1.40905e9 + 3.59019e9i 0.701270 + 1.78681i
\(456\) 1.14477e9 7.80490e8i 0.565381 0.385470i
\(457\) 2.10223e9 + 1.01238e9i 1.03032 + 0.496178i 0.871121 0.491068i \(-0.163393\pi\)
0.159203 + 0.987246i \(0.449108\pi\)
\(458\) −7.40601e8 6.87178e8i −0.360210 0.334226i
\(459\) −1.55458e9 + 2.34316e8i −0.750359 + 0.113098i
\(460\) −3.63149e7 + 4.84589e8i −0.0173953 + 0.232125i
\(461\) −3.78327e8 + 9.63962e8i −0.179852 + 0.458254i −0.992160 0.124974i \(-0.960115\pi\)
0.812308 + 0.583228i \(0.198211\pi\)
\(462\) −9.82804e7 4.30595e8i −0.0463682 0.203152i
\(463\) −2.06429e8 2.75461e9i −0.0966580 1.28981i −0.808929 0.587907i \(-0.799952\pi\)
0.712271 0.701905i \(-0.247667\pi\)
\(464\) −4.68486e8 1.44509e8i −0.217713 0.0671555i
\(465\) 5.31857e9 2.56129e9i 2.45307 1.18133i
\(466\) 2.78803e8 4.82901e8i 0.127628 0.221058i
\(467\) −3.24101e8 5.61359e8i −0.147255 0.255054i 0.782957 0.622076i \(-0.213711\pi\)
−0.930212 + 0.367022i \(0.880377\pi\)
\(468\) −2.03225e8 1.38556e8i −0.0916465 0.0624835i
\(469\) −1.36110e9 + 5.96335e9i −0.609233 + 2.66923i
\(470\) 2.51049e9 + 3.78395e8i 1.11536 + 0.168114i
\(471\) −1.91942e9 2.40687e9i −0.846439 1.06140i
\(472\) −2.70726e9 −1.18504
\(473\) −3.48641e8 5.33924e8i −0.151483 0.231988i
\(474\) −7.21995e8 −0.311394
\(475\) 2.34516e9 + 2.94074e9i 1.00403 + 1.25901i
\(476\) 3.08604e9 + 4.65146e8i 1.31153 + 0.197681i
\(477\) −1.48198e6 + 6.49297e6i −0.000625212 + 0.00273923i
\(478\) 3.22054e7 + 2.19573e7i 0.0134875 + 0.00919562i
\(479\) −1.78336e9 3.08887e9i −0.741421 1.28418i −0.951848 0.306569i \(-0.900819\pi\)
0.210428 0.977609i \(-0.432514\pi\)
\(480\) −2.08672e9 + 3.61431e9i −0.861232 + 1.49170i
\(481\) −4.14565e8 + 1.99644e8i −0.169857 + 0.0817990i
\(482\) 1.45848e7 + 4.49880e6i 0.00593245 + 0.00182992i
\(483\) 5.88858e7 + 7.85776e8i 0.0237791 + 0.317310i
\(484\) −4.37238e8 1.91567e9i −0.175291 0.768000i
\(485\) 1.50669e8 3.83899e8i 0.0599693 0.152799i
\(486\) 2.91198e7 3.88577e8i 0.0115070 0.153550i
\(487\) −4.00472e7 + 6.03614e6i −0.0157116 + 0.00236814i −0.156893 0.987616i \(-0.550148\pi\)
0.141182 + 0.989984i \(0.454910\pi\)
\(488\) −4.33753e8 4.02464e8i −0.168956 0.156768i
\(489\) 2.57353e9 + 1.23935e9i 0.995287 + 0.479305i
\(490\) 3.05436e9 2.08242e9i 1.17283 0.799619i
\(491\) −4.38830e8 1.11812e9i −0.167306 0.426288i 0.822490 0.568779i \(-0.192584\pi\)
−0.989796 + 0.142491i \(0.954489\pi\)
\(492\) 1.31468e9 4.05526e8i 0.497671 0.153511i
\(493\) −6.64104e8 + 6.16199e8i −0.249616 + 0.231610i
\(494\) −3.58299e8 + 4.49293e8i −0.133721 + 0.167681i
\(495\) −1.60039e8 + 2.00683e8i −0.0593072 + 0.0743689i
\(496\) −1.70713e9 + 1.58398e9i −0.628174 + 0.582860i
\(497\) −4.21235e9 + 1.29934e9i −1.53914 + 0.474761i
\(498\) 4.85631e8 + 1.23737e9i 0.176199 + 0.448948i
\(499\) −3.60800e9 + 2.45989e9i −1.29991 + 0.886265i −0.997753 0.0669923i \(-0.978660\pi\)
−0.302159 + 0.953258i \(0.597707\pi\)
\(500\) −3.01348e9 1.45122e9i −1.07814 0.519203i
\(501\) 2.00156e9 + 1.85717e9i 0.711108 + 0.659812i
\(502\) −1.41232e9 + 2.12873e8i −0.498277 + 0.0751032i
\(503\) 3.57698e8 4.77315e9i 0.125322 1.67231i −0.480716 0.876877i \(-0.659623\pi\)
0.606038 0.795436i \(-0.292758\pi\)
\(504\) −2.72054e8 + 6.93181e8i −0.0946559 + 0.241179i
\(505\) 6.21760e8 + 2.72411e9i 0.214834 + 0.941249i
\(506\) 3.74642e6 + 4.99924e7i 0.00128555 + 0.0171545i
\(507\) −1.82696e9 5.63542e8i −0.622588 0.192043i
\(508\) −4.22711e9 + 2.03567e9i −1.43061 + 0.688944i
\(509\) 2.68889e8 4.65729e8i 0.0903775 0.156538i −0.817293 0.576223i \(-0.804526\pi\)
0.907670 + 0.419685i \(0.137859\pi\)
\(510\) 9.20677e8 + 1.59466e9i 0.307335 + 0.532320i
\(511\) 6.25688e9 + 4.26587e9i 2.07436 + 1.41428i
\(512\) 6.45250e8 2.82703e9i 0.212463 0.930861i
\(513\) 2.31995e9 + 3.49676e8i 0.758695 + 0.114355i
\(514\) 2.43943e8 + 3.05894e8i 0.0792349 + 0.0993575i
\(515\) 2.28528e9 0.737250
\(516\) −5.82366e7 + 2.92127e9i −0.0186604 + 0.936046i
\(517\) −1.52288e9 −0.484674
\(518\) 3.99889e8 + 5.01445e8i 0.126411 + 0.158515i
\(519\) 2.88117e9 + 4.34266e8i 0.904655 + 0.136355i
\(520\) 5.43401e8 2.38080e9i 0.169476 0.742524i
\(521\) 9.32846e8 + 6.36004e8i 0.288987 + 0.197028i 0.699132 0.714992i \(-0.253570\pi\)
−0.410146 + 0.912020i \(0.634522\pi\)
\(522\) −4.97611e7 8.61887e7i −0.0153124 0.0265218i
\(523\) 2.52229e9 4.36873e9i 0.770971 1.33536i −0.166060 0.986116i \(-0.553104\pi\)
0.937031 0.349246i \(-0.113562\pi\)
\(524\) 3.14700e9 1.51552e9i 0.955515 0.460152i
\(525\) −1.14027e10 3.51728e9i −3.43915 1.06084i
\(526\) 1.40640e7 + 1.87671e8i 0.00421365 + 0.0562272i
\(527\) 9.57570e8 + 4.19539e9i 0.284992 + 1.24863i
\(528\) 2.18373e8 5.56405e8i 0.0645624 0.164502i
\(529\) −2.47759e8 + 3.30611e9i −0.0727670 + 0.971008i
\(530\) −3.01033e7 + 4.53734e6i −0.00878312 + 0.00132384i
\(531\) 8.61058e8 + 7.98945e8i 0.249575 + 0.231572i
\(532\) −4.19618e9 2.02077e9i −1.20827 0.581871i
\(533\) −1.02406e9 + 6.98189e8i −0.292940 + 0.199723i
\(534\) 1.69726e8 + 4.32455e8i 0.0482341 + 0.122898i
\(535\) 4.02467e8 1.24145e8i 0.113630 0.0350501i
\(536\) 2.83907e9 2.63427e9i 0.796341 0.738896i
\(537\) 4.66639e9 5.85147e9i 1.30038 1.63063i
\(538\) −9.48265e8 + 1.18909e9i −0.262538 + 0.329212i
\(539\) −1.62547e9 + 1.50822e9i −0.447115 + 0.414862i
\(540\) −4.38628e9 + 1.35299e9i −1.19872 + 0.369756i
\(541\) −1.87773e8 4.78439e8i −0.0509851 0.129908i 0.903112 0.429405i \(-0.141277\pi\)
−0.954097 + 0.299497i \(0.903181\pi\)
\(542\) −1.70740e9 + 1.16408e9i −0.460614 + 0.314041i
\(543\) 6.17628e8 + 2.97434e8i 0.165549 + 0.0797244i
\(544\) −2.23020e9 2.06932e9i −0.593947 0.551102i
\(545\) −9.89305e9 + 1.49114e9i −2.61784 + 0.394575i
\(546\) 1.36243e8 1.81803e9i 0.0358211 0.477999i
\(547\) 1.38835e9 3.53745e9i 0.362696 0.924134i −0.626749 0.779221i \(-0.715615\pi\)
0.989444 0.144912i \(-0.0462900\pi\)
\(548\) 5.29273e8 + 2.31890e9i 0.137388 + 0.601935i
\(549\) 1.91854e7 + 2.56011e8i 0.00494843 + 0.0660323i
\(550\) −7.25461e8 2.23775e8i −0.185928 0.0573512i
\(551\) 1.21808e9 5.86596e8i 0.310202 0.149386i
\(552\) 2.49464e8 4.32085e8i 0.0631279 0.109341i
\(553\) 2.63569e9 + 4.56514e9i 0.662759 + 1.14793i
\(554\) 1.47627e9 + 1.00651e9i 0.368878 + 0.251497i
\(555\) 4.89597e8 2.14507e9i 0.121566 0.532617i
\(556\) 2.93844e9 + 4.42898e8i 0.725027 + 0.109280i
\(557\) −7.36234e8 9.23208e8i −0.180519 0.226363i 0.683336 0.730104i \(-0.260528\pi\)
−0.863855 + 0.503740i \(0.831957\pi\)
\(558\) −4.72735e8 −0.115186
\(559\) −7.25568e8 2.53022e9i −0.175686 0.612657i
\(560\) 7.27543e9 1.75065
\(561\) −6.88649e8 8.63539e8i −0.164675 0.206496i
\(562\) −1.60643e8 2.42131e7i −0.0381755 0.00575404i
\(563\) 1.12017e9 4.90778e9i 0.264548 1.15906i −0.651709 0.758469i \(-0.725948\pi\)
0.916257 0.400591i \(-0.131195\pi\)
\(564\) 5.76544e9 + 3.93081e9i 1.35318 + 0.922583i
\(565\) 4.62622e9 + 8.01285e9i 1.07909 + 1.86903i
\(566\) 4.10310e8 7.10678e8i 0.0951163 0.164746i
\(567\) −8.13323e9 + 3.91676e9i −1.87380 + 0.902373i
\(568\) 2.66715e9 + 8.22707e8i 0.610701 + 0.188376i
\(569\) −3.95839e8 5.28210e9i −0.0900793 1.20203i −0.840778 0.541380i \(-0.817902\pi\)
0.750698 0.660645i \(-0.229717\pi\)
\(570\) −6.11466e8 2.67901e9i −0.138296 0.605916i
\(571\) 1.63267e8 4.15998e8i 0.0367006 0.0935115i −0.911349 0.411636i \(-0.864958\pi\)
0.948049 + 0.318124i \(0.103053\pi\)
\(572\) −5.03987e7 + 6.72524e8i −0.0112599 + 0.150252i
\(573\) −3.64535e9 + 5.49448e8i −0.809465 + 0.122007i
\(574\) 1.26643e9 + 1.17507e9i 0.279504 + 0.259342i
\(575\) 1.22034e9 + 5.87683e8i 0.267696 + 0.128916i
\(576\) −1.73153e8 + 1.18053e8i −0.0377529 + 0.0257395i
\(577\) 6.57198e8 + 1.67451e9i 0.142423 + 0.362889i 0.984231 0.176889i \(-0.0566035\pi\)
−0.841807 + 0.539778i \(0.818508\pi\)
\(578\) 4.16741e8 1.28548e8i 0.0897675 0.0276896i
\(579\) −5.53840e8 + 5.13889e8i −0.118579 + 0.110026i
\(580\) −1.64919e9 + 2.06802e9i −0.350973 + 0.440106i
\(581\) 6.05100e9 7.58771e9i 1.28000 1.60507i
\(582\) −1.42906e8 + 1.32598e8i −0.0300484 + 0.0278808i
\(583\) 1.74497e7 5.38251e6i 0.00364710 0.00112498i
\(584\) −1.75176e9 4.46340e9i −0.363939 0.927302i
\(585\) −8.75434e8 + 5.96861e8i −0.180791 + 0.123261i
\(586\) −5.90708e8 2.84470e8i −0.121264 0.0583975i
\(587\) 5.50797e9 + 5.11065e9i 1.12398 + 1.04290i 0.998710 + 0.0507777i \(0.0161700\pi\)
0.125269 + 0.992123i \(0.460020\pi\)
\(588\) 1.00468e10 1.51431e9i 2.03801 0.307181i
\(589\) 4.79910e8 6.40395e9i 0.0967734 1.29135i
\(590\) −1.96163e9 + 4.99816e9i −0.393220 + 1.00191i
\(591\) −2.96483e8 1.29898e9i −0.0590805 0.258849i
\(592\) 6.48649e7 + 8.65562e8i 0.0128494 + 0.171464i
\(593\) 1.98405e7 + 6.11998e6i 0.00390716 + 0.00120520i 0.296708 0.954968i \(-0.404111\pi\)
−0.292801 + 0.956173i \(0.594587\pi\)
\(594\) −4.26651e8 + 2.05464e8i −0.0835257 + 0.0402239i
\(595\) 6.72198e9 1.16428e10i 1.30824 2.26594i
\(596\) −4.28901e9 7.42878e9i −0.829841 1.43733i
\(597\) −6.94020e9 4.73175e9i −1.33494 0.910147i
\(598\) −4.60482e7 + 2.01750e8i −0.00880559 + 0.0385798i
\(599\) −5.50528e9 8.29787e8i −1.04661 0.157751i −0.396845 0.917886i \(-0.629895\pi\)
−0.649766 + 0.760134i \(0.725133\pi\)
\(600\) 4.71083e9 + 5.90720e9i 0.890365 + 1.11648i
\(601\) 1.49078e9 0.280126 0.140063 0.990143i \(-0.455270\pi\)
0.140063 + 0.990143i \(0.455270\pi\)
\(602\) −3.21337e9 + 1.77080e9i −0.600307 + 0.330812i
\(603\) −1.68039e9 −0.312103
\(604\) 6.15494e8 + 7.71805e8i 0.113657 + 0.142521i
\(605\) −8.36982e9 1.26155e9i −1.53664 0.231611i
\(606\) 2.93909e8 1.28770e9i 0.0536487 0.235050i
\(607\) −6.12475e9 4.17578e9i −1.11155 0.757840i −0.138941 0.990301i \(-0.544370\pi\)
−0.972606 + 0.232460i \(0.925322\pi\)
\(608\) 2.27009e9 + 3.93191e9i 0.409620 + 0.709482i
\(609\) −2.14455e9 + 3.71448e9i −0.384748 + 0.666403i
\(610\) −1.05732e9 + 5.09179e8i −0.188605 + 0.0908272i
\(611\) −6.00692e9 1.85289e9i −1.06539 0.328629i
\(612\) 6.40718e7 + 8.54978e8i 0.0112989 + 0.150774i
\(613\) −1.49216e9 6.53760e9i −0.261640 1.14632i −0.919472 0.393156i \(-0.871383\pi\)
0.657831 0.753165i \(-0.271474\pi\)
\(614\) 1.19816e9 3.05286e9i 0.208893 0.532252i
\(615\) 4.42893e8 5.91000e9i 0.0767779 1.02453i
\(616\) 2.01897e9 3.04311e8i 0.348015 0.0524549i
\(617\) −1.34384e8 1.24690e8i −0.0230330 0.0213715i 0.668572 0.743647i \(-0.266906\pi\)
−0.691605 + 0.722276i \(0.743096\pi\)
\(618\) −9.73286e8 4.68710e8i −0.165875 0.0798811i
\(619\) −1.08353e9 + 7.38736e8i −0.183621 + 0.125191i −0.651642 0.758527i \(-0.725920\pi\)
0.468021 + 0.883717i \(0.344967\pi\)
\(620\) 4.59028e9 + 1.16958e10i 0.773513 + 1.97088i
\(621\) 8.07320e8 2.49025e8i 0.135277 0.0417275i
\(622\) 1.05986e9 9.83405e8i 0.176596 0.163857i
\(623\) 2.11480e9 2.65187e9i 0.350397 0.439384i
\(624\) 1.53833e9 1.92901e9i 0.253457 0.317825i
\(625\) −2.35978e9 + 2.18956e9i −0.386626 + 0.358737i
\(626\) −1.97160e9 + 6.08158e8i −0.321224 + 0.0990846i
\(627\) 6.02187e8 + 1.53435e9i 0.0975652 + 0.248592i
\(628\) 5.41378e9 3.69105e9i 0.872251 0.594691i
\(629\) 1.44508e9 + 6.95915e8i 0.231534 + 0.111501i
\(630\) 1.08263e9 + 1.00453e9i 0.172500 + 0.160056i
\(631\) 4.32223e9 6.51472e8i 0.684866 0.103227i 0.202613 0.979259i \(-0.435057\pi\)
0.482253 + 0.876032i \(0.339819\pi\)
\(632\) 2.49426e8 3.32836e9i 0.0393036 0.524471i
\(633\) −2.49123e8 + 6.34755e8i −0.0390392 + 0.0994703i
\(634\) 2.40232e8 + 1.05253e9i 0.0374385 + 0.164029i
\(635\) 1.51034e9 + 2.01541e10i 0.234082 + 3.12361i
\(636\) −7.99553e7 2.46630e7i −0.0123239 0.00380141i
\(637\) −8.24663e9 + 3.97137e9i −1.26412 + 0.608768i
\(638\) −1.36440e8 + 2.36322e8i −0.0208003 + 0.0360272i
\(639\) −6.05511e8 1.04878e9i −0.0918055 0.159012i
\(640\) −9.39309e9 6.40410e9i −1.41638 0.965668i
\(641\) −5.91727e7 + 2.59253e8i −0.00887398 + 0.0388794i −0.979171 0.203037i \(-0.934919\pi\)
0.970297 + 0.241916i \(0.0777760\pi\)
\(642\) −1.96870e8 2.96733e7i −0.0293634 0.00442582i
\(643\) 1.83656e9 + 2.30298e9i 0.272438 + 0.341626i 0.899163 0.437614i \(-0.144176\pi\)
−0.626725 + 0.779241i \(0.715605\pi\)
\(644\) −1.67714e9 −0.247440
\(645\) 1.16225e10 + 4.83097e9i 1.70545 + 0.708885i
\(646\) 2.00316e9 0.292350
\(647\) 3.53614e9 + 4.43418e9i 0.513292 + 0.643648i 0.969170 0.246395i \(-0.0792460\pi\)
−0.455878 + 0.890042i \(0.650675\pi\)
\(648\) 5.65195e9 + 8.51895e8i 0.815992 + 0.122991i
\(649\) 7.16673e8 3.13995e9i 0.102912 0.450886i
\(650\) −2.58927e9 1.76533e9i −0.369812 0.252133i
\(651\) 1.01867e10 + 1.76440e10i 1.44711 + 2.50647i
\(652\) −3.03980e9 + 5.26509e9i −0.429515 + 0.743942i
\(653\) −9.18490e7 + 4.42321e7i −0.0129086 + 0.00621644i −0.440327 0.897838i \(-0.645137\pi\)
0.427418 + 0.904054i \(0.359423\pi\)
\(654\) 4.51921e9 + 1.39399e9i 0.631743 + 0.194867i
\(655\) −1.12442e9 1.50044e10i −0.156345 2.08628i
\(656\) 5.20260e8 + 2.27941e9i 0.0719544 + 0.315253i
\(657\) −7.60049e8 + 1.93657e9i −0.104559 + 0.266413i
\(658\) −6.54804e8 + 8.73776e9i −0.0896027 + 1.19566i
\(659\) 3.93740e9 5.93467e8i 0.535933 0.0807789i 0.124501 0.992219i \(-0.460267\pi\)
0.411432 + 0.911441i \(0.365029\pi\)
\(660\) −2.36398e9 2.19345e9i −0.320067 0.296978i
\(661\) −6.16849e7 2.97059e7i −0.00830756 0.00400071i 0.429725 0.902960i \(-0.358610\pi\)
−0.438033 + 0.898959i \(0.644325\pi\)
\(662\) 6.64546e8 4.53080e8i 0.0890271 0.0606976i
\(663\) −1.66567e9 4.24405e9i −0.221968 0.565566i
\(664\) −5.87198e9 + 1.81127e9i −0.778388 + 0.240101i
\(665\) −1.47071e10 + 1.36462e10i −1.93932 + 1.79943i
\(666\) −1.09858e8 + 1.37757e8i −0.0144102 + 0.0180699i
\(667\) 3.03543e8 3.80631e8i 0.0396078 0.0496666i
\(668\) −4.26013e9 + 3.95282e9i −0.552975 + 0.513086i
\(669\) −1.26829e10 + 3.91214e9i −1.63767 + 0.505154i
\(670\) −2.80627e9 7.15025e9i −0.360468 0.918458i
\(671\) 5.81613e8 3.96537e8i 0.0743199 0.0506705i
\(672\) −1.29773e10 6.24954e9i −1.64965 0.794430i
\(673\) 4.27995e9 + 3.97121e9i 0.541235 + 0.502193i 0.902745 0.430175i \(-0.141548\pi\)
−0.361510 + 0.932368i \(0.617739\pi\)
\(674\) 4.94381e9 7.45160e8i 0.621945 0.0937432i
\(675\) −9.56109e8 + 1.27584e10i −0.119659 + 1.59673i
\(676\) 1.48668e9 3.78801e9i 0.185099 0.471626i
\(677\) 4.73622e8 + 2.07507e9i 0.0586640 + 0.257024i 0.995753 0.0920674i \(-0.0293475\pi\)
−0.937089 + 0.349091i \(0.886490\pi\)
\(678\) −3.26845e8 4.36145e9i −0.0402753 0.537436i
\(679\) 1.36010e9 + 4.19535e8i 0.166735 + 0.0514309i
\(680\) −7.66938e9 + 3.69338e9i −0.935360 + 0.450446i
\(681\) 8.22338e9 1.42433e10i 0.997781 1.72821i
\(682\) 6.48098e8 + 1.12254e9i 0.0782340 + 0.135505i
\(683\) −1.18379e10 8.07093e9i −1.42168 0.969284i −0.997983 0.0634801i \(-0.979780\pi\)
−0.423696 0.905804i \(-0.639268\pi\)
\(684\) 2.84712e8 1.24741e9i 0.0340181 0.149043i
\(685\) 1.01316e10 + 1.52709e9i 1.20437 + 0.181530i
\(686\) 4.34124e9 + 5.44375e9i 0.513428 + 0.643819i
\(687\) −1.19616e10 −1.40747
\(688\) −4.94309e9 4.69678e8i −0.578681 0.0549845i
\(689\) 7.53780e7 0.00877966
\(690\) −6.16960e8 7.73643e8i −0.0714966 0.0896538i
\(691\) 1.07272e10 + 1.61687e9i 1.23684 + 0.186424i 0.734719 0.678372i \(-0.237314\pi\)
0.502124 + 0.864796i \(0.332552\pi\)
\(692\) −1.37998e9 + 6.04609e9i −0.158308 + 0.693591i
\(693\) −7.31951e8 4.99036e8i −0.0835441 0.0569594i
\(694\) −6.27440e8 1.08676e9i −0.0712548 0.123417i
\(695\) 6.40046e9 1.10859e10i 0.723210 1.25264i
\(696\) 2.44681e9 1.17832e9i 0.275086 0.132474i
\(697\) 4.12840e9 + 1.27344e9i 0.461814 + 0.142451i
\(698\) −7.44594e7 9.93592e8i −0.00828754 0.110590i
\(699\) −1.46905e9 6.43633e9i −0.162692 0.712801i
\(700\) 9.27895e9 2.36424e10i 1.02248 2.60524i
\(701\) −1.22133e9 + 1.62975e10i −0.133912 + 1.78693i 0.375918 + 0.926653i \(0.377327\pi\)
−0.509830 + 0.860275i \(0.670292\pi\)
\(702\) −1.93289e9 + 2.91336e8i −0.210876 + 0.0317844i
\(703\) −1.75462e9 1.62805e9i −0.190475 0.176735i
\(704\) 5.17709e8 + 2.49316e8i 0.0559219 + 0.0269306i
\(705\) 2.48359e10 1.69328e10i 2.66943 1.81998i
\(706\) 2.32245e8 + 5.91750e8i 0.0248387 + 0.0632881i
\(707\) −9.21501e9 + 2.84246e9i −0.980682 + 0.302500i
\(708\) −1.08180e10 + 1.00376e10i −1.14559 + 1.06295i
\(709\) 5.61200e9 7.03723e9i 0.591366 0.741549i −0.392639 0.919693i \(-0.628438\pi\)
0.984005 + 0.178144i \(0.0570091\pi\)
\(710\) 3.45146e9 4.32799e9i 0.361908 0.453819i
\(711\) −1.06157e9 + 9.84995e8i −0.110766 + 0.102776i
\(712\) −2.05223e9 + 6.33030e8i −0.213082 + 0.0657271i
\(713\) −8.44867e8 2.15269e9i −0.0872921 0.222417i
\(714\) −5.25077e9 + 3.57992e9i −0.539858 + 0.368069i
\(715\) 2.61746e9 + 1.26050e9i 0.267799 + 0.128965i
\(716\) 1.16773e10 + 1.08349e10i 1.18890 + 1.10314i
\(717\) 4.56335e8 6.87814e7i 0.0462345 0.00696874i
\(718\) −1.41136e8 + 1.88333e9i −0.0142299 + 0.189885i
\(719\) 8.86154e8 2.25788e9i 0.0889115 0.226543i −0.879501 0.475898i \(-0.842123\pi\)
0.968412 + 0.249355i \(0.0802185\pi\)
\(720\) 4.44755e8 + 1.94860e9i 0.0444075 + 0.194562i
\(721\) 5.89408e8 + 7.86510e9i 0.0585656 + 0.781503i
\(722\) 8.45394e8 + 2.60770e8i 0.0835948 + 0.0257856i
\(723\) 1.62811e8 7.84056e7i 0.0160214 0.00771548i
\(724\) −7.29529e8 + 1.26358e9i −0.0714426 + 0.123742i
\(725\) 3.68631e9 + 6.38487e9i 0.359260 + 0.622256i
\(726\) 3.30591e9 + 2.25393e9i 0.320636 + 0.218606i
\(727\) −3.34740e9 + 1.46659e10i −0.323100 + 1.41559i 0.508903 + 0.860824i \(0.330051\pi\)
−0.832003 + 0.554771i \(0.812806\pi\)
\(728\) 8.33397e9 + 1.25614e9i 0.800557 + 0.120665i
\(729\) 4.70437e9 + 5.89909e9i 0.449733 + 0.563948i
\(730\) −9.50966e9 −0.904763
\(731\) −5.31869e9 + 7.47645e9i −0.503609 + 0.707920i
\(732\) −3.22544e9 −0.303948
\(733\) −3.34348e9 4.19259e9i −0.313570 0.393204i 0.599924 0.800057i \(-0.295198\pi\)
−0.913494 + 0.406853i \(0.866626\pi\)
\(734\) 1.85745e9 + 2.79966e8i 0.173373 + 0.0261318i
\(735\) 9.73920e9 4.26702e10i 0.904727 3.96387i
\(736\) 1.35084e9 + 9.20989e8i 0.124891 + 0.0851495i
\(737\) 2.30373e9 + 3.99018e9i 0.211980 + 0.367161i
\(738\) −2.37305e8 + 4.11024e8i −0.0217325 + 0.0376418i
\(739\) −3.97086e9 + 1.91226e9i −0.361934 + 0.174298i −0.606008 0.795458i \(-0.707230\pi\)
0.244075 + 0.969756i \(0.421516\pi\)
\(740\) 4.47494e9 + 1.38034e9i 0.405954 + 0.125220i
\(741\) 5.08452e8 + 6.78482e9i 0.0459078 + 0.612597i
\(742\) −2.33799e7 1.02434e8i −0.00210102 0.00920516i
\(743\) 2.99632e9 7.63450e9i 0.267996 0.682841i −0.732003 0.681301i \(-0.761414\pi\)
0.999999 0.00154038i \(-0.000490319\pi\)
\(744\) 9.64016e8 1.28639e10i 0.0858181 1.14516i
\(745\) −3.65389e10 + 5.50735e9i −3.23749 + 0.487973i
\(746\) 3.55251e9 + 3.29625e9i 0.313292 + 0.290693i
\(747\) 2.40214e9 + 1.15681e9i 0.210851 + 0.101541i
\(748\) 1.94236e9 1.32428e9i 0.169697 0.115697i
\(749\) 5.31062e8 + 1.35312e9i 0.0461805 + 0.117666i
\(750\) 6.50819e9 2.00751e9i 0.563308 0.173758i
\(751\) −5.63903e9 + 5.23226e9i −0.485808 + 0.450764i −0.884650 0.466256i \(-0.845603\pi\)
0.398842 + 0.917020i \(0.369412\pi\)