Properties

Label 43.8.g.a.24.3
Level 43
Weight 8
Character 43.24
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 24.3
Character \(\chi\) \(=\) 43.24
Dual form 43.8.g.a.9.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-11.9571 + 14.9937i) q^{2} +(22.8341 - 3.44169i) q^{3} +(-53.3566 - 233.771i) q^{4} +(-375.006 + 255.675i) q^{5} +(-221.425 + 383.520i) q^{6} +(97.1595 + 168.285i) q^{7} +(1931.43 + 930.128i) q^{8} +(-1580.29 + 487.454i) q^{9} +O(q^{10})\) \(q+(-11.9571 + 14.9937i) q^{2} +(22.8341 - 3.44169i) q^{3} +(-53.3566 - 233.771i) q^{4} +(-375.006 + 255.675i) q^{5} +(-221.425 + 383.520i) q^{6} +(97.1595 + 168.285i) q^{7} +(1931.43 + 930.128i) q^{8} +(-1580.29 + 487.454i) q^{9} +(650.465 - 8679.85i) q^{10} +(341.242 - 1495.08i) q^{11} +(-2022.92 - 5154.31i) q^{12} +(-530.539 - 7079.55i) q^{13} +(-3684.96 - 555.418i) q^{14} +(-7682.97 + 7128.76i) q^{15} +(-9387.64 + 4520.85i) q^{16} +(-1402.53 - 956.230i) q^{17} +(11586.9 - 29522.9i) q^{18} +(27686.2 + 8540.07i) q^{19} +(79778.3 + 74023.4i) q^{20} +(2797.74 + 3508.25i) q^{21} +(18336.5 + 22993.3i) q^{22} +(38198.8 + 35443.3i) q^{23} +(47303.7 + 14591.3i) q^{24} +(46717.6 - 119035. i) q^{25} +(112492. + 76696.0i) q^{26} +(-79907.7 + 38481.5i) q^{27} +(34156.0 - 31692.2i) q^{28} +(67958.2 + 10243.0i) q^{29} +(-15020.5 - 200435. i) q^{30} +(-87693.5 - 223439. i) q^{31} +(-16594.6 + 72705.7i) q^{32} +(2646.36 - 35313.3i) q^{33} +(31107.6 - 9595.42i) q^{34} +(-79461.7 - 38266.7i) q^{35} +(198271. + 343416. i) q^{36} +(-158938. + 275289. i) q^{37} +(-459094. + 313005. i) q^{38} +(-36480.0 - 159829. i) q^{39} +(-962108. + 145015. i) q^{40} +(416961. - 522853. i) q^{41} -86054.4 q^{42} +(110319. - 509557. i) q^{43} -367714. q^{44} +(467987. - 586837. i) q^{45} +(-988172. + 148943. i) q^{46} +(-93521.6 - 409745. i) q^{47} +(-198799. + 135539. i) q^{48} +(392892. - 680508. i) q^{49} +(1.22616e6 + 2.12377e6i) q^{50} +(-35316.6 - 17007.6i) q^{51} +(-1.62668e6 + 501766. i) q^{52} +(2888.29 - 38541.5i) q^{53} +(378482. - 1.65824e6i) q^{54} +(254286. + 647911. i) q^{55} +(31130.1 + 415402. i) q^{56} +(661583. + 99717.6i) q^{57} +(-966162. + 896467. i) q^{58} +(-1.77090e6 + 852819. i) q^{59} +(2.07643e6 + 1.41569e6i) q^{60} +(185527. - 472715. i) q^{61} +(4.39874e6 + 1.35683e6i) q^{62} +(-235571. - 218578. i) q^{63} +(-1.72325e6 - 2.16089e6i) q^{64} +(2.00902e6 + 2.51923e6i) q^{65} +(497834. + 461922. i) q^{66} +(-2.98687e6 - 921326. i) q^{67} +(-148704. + 378892. i) q^{68} +(994221. + 677848. i) q^{69} +(1.52389e6 - 733866. i) q^{70} +(-2.66957e6 + 2.47700e6i) q^{71} +(-3.50561e6 - 528386. i) q^{72} +(-312698. - 4.17267e6i) q^{73} +(-2.22716e6 - 5.67472e6i) q^{74} +(657075. - 2.87884e6i) q^{75} +(519174. - 6.92790e6i) q^{76} +(284755. - 87835.2i) q^{77} +(2.83263e6 + 1.36412e6i) q^{78} +(-2.34401e6 - 4.05994e6i) q^{79} +(2.36455e6 - 4.09553e6i) q^{80} +(1.29613e6 - 883690. i) q^{81} +(2.85386e6 + 1.25036e7i) q^{82} +(4.52040e6 - 681341. i) q^{83} +(670848. - 841217. i) q^{84} +770442. q^{85} +(6.32105e6 + 7.74690e6i) q^{86} +1.58702e6 q^{87} +(2.04970e6 - 2.57025e6i) q^{88} +(-1.01819e7 + 1.53467e6i) q^{89} +(3.20310e6 + 1.40337e7i) q^{90} +(1.13984e6 - 777128. i) q^{91} +(6.24745e6 - 1.08209e7i) q^{92} +(-2.77141e6 - 4.80022e6i) q^{93} +(7.26183e6 + 3.49711e6i) q^{94} +(-1.25660e7 + 3.87609e6i) q^{95} +(-128693. + 1.71728e6i) q^{96} +(-2.58712e6 + 1.13349e7i) q^{97} +(5.50550e6 + 1.40278e7i) q^{98} +(189522. + 2.52900e6i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −11.9571 + 14.9937i −1.05687 + 1.32527i −0.113491 + 0.993539i \(0.536203\pi\)
−0.943375 + 0.331729i \(0.892368\pi\)
\(3\) 22.8341 3.44169i 0.488270 0.0735948i 0.0997064 0.995017i \(-0.468210\pi\)
0.388563 + 0.921422i \(0.372972\pi\)
\(4\) −53.3566 233.771i −0.416849 1.82633i
\(5\) −375.006 + 255.675i −1.34166 + 0.914730i −0.999688 0.0249798i \(-0.992048\pi\)
−0.341974 + 0.939709i \(0.611095\pi\)
\(6\) −221.425 + 383.520i −0.418503 + 0.724868i
\(7\) 97.1595 + 168.285i 0.107064 + 0.185440i 0.914579 0.404406i \(-0.132522\pi\)
−0.807516 + 0.589846i \(0.799188\pi\)
\(8\) 1931.43 + 930.128i 1.33372 + 0.642285i
\(9\) −1580.29 + 487.454i −0.722582 + 0.222887i
\(10\) 650.465 8679.85i 0.205695 2.74481i
\(11\) 341.242 1495.08i 0.0773016 0.338681i −0.921458 0.388479i \(-0.873001\pi\)
0.998759 + 0.0497982i \(0.0158578\pi\)
\(12\) −2022.92 5154.31i −0.337943 0.861065i
\(13\) −530.539 7079.55i −0.0669755 0.893726i −0.924964 0.380056i \(-0.875905\pi\)
0.857988 0.513670i \(-0.171714\pi\)
\(14\) −3684.96 555.418i −0.358909 0.0540969i
\(15\) −7682.97 + 7128.76i −0.587773 + 0.545374i
\(16\) −9387.64 + 4520.85i −0.572976 + 0.275931i
\(17\) −1402.53 956.230i −0.0692375 0.0472053i 0.528207 0.849116i \(-0.322865\pi\)
−0.597444 + 0.801911i \(0.703817\pi\)
\(18\) 11586.9 29522.9i 0.468287 1.19318i
\(19\) 27686.2 + 8540.07i 0.926033 + 0.285643i 0.720858 0.693082i \(-0.243748\pi\)
0.205174 + 0.978725i \(0.434224\pi\)
\(20\) 79778.3 + 74023.4i 2.22987 + 2.06902i
\(21\) 2797.74 + 3508.25i 0.0659233 + 0.0826652i
\(22\) 18336.5 + 22993.3i 0.367145 + 0.460385i
\(23\) 38198.8 + 35443.3i 0.654640 + 0.607417i 0.935922 0.352208i \(-0.114569\pi\)
−0.281282 + 0.959625i \(0.590760\pi\)
\(24\) 47303.7 + 14591.3i 0.698483 + 0.215454i
\(25\) 46717.6 119035.i 0.597985 1.52364i
\(26\) 112492. + 76696.0i 1.25521 + 0.855788i
\(27\) −79907.7 + 38481.5i −0.781296 + 0.376252i
\(28\) 34156.0 31692.2i 0.294045 0.272834i
\(29\) 67958.2 + 10243.0i 0.517427 + 0.0779895i 0.402564 0.915392i \(-0.368119\pi\)
0.114863 + 0.993381i \(0.463357\pi\)
\(30\) −15020.5 200435.i −0.101569 1.35534i
\(31\) −87693.5 223439.i −0.528690 1.34708i −0.906894 0.421358i \(-0.861553\pi\)
0.378204 0.925722i \(-0.376542\pi\)
\(32\) −16594.6 + 72705.7i −0.0895245 + 0.392233i
\(33\) 2646.36 35313.3i 0.0128189 0.171056i
\(34\) 31107.6 9595.42i 0.135735 0.0418686i
\(35\) −79461.7 38266.7i −0.313270 0.150863i
\(36\) 198271. + 343416.i 0.708273 + 1.22677i
\(37\) −158938. + 275289.i −0.515849 + 0.893476i 0.483982 + 0.875078i \(0.339190\pi\)
−0.999831 + 0.0183981i \(0.994143\pi\)
\(38\) −459094. + 313005.i −1.35725 + 0.925355i
\(39\) −36480.0 159829.i −0.0984756 0.431450i
\(40\) −962108. + 145015.i −2.37692 + 0.358263i
\(41\) 416961. 522853.i 0.944827 1.18478i −0.0378194 0.999285i \(-0.512041\pi\)
0.982646 0.185491i \(-0.0593874\pi\)
\(42\) −86054.4 −0.179226
\(43\) 110319. 509557.i 0.211598 0.977357i
\(44\) −367714. −0.650767
\(45\) 467987. 586837.i 0.765579 0.960006i
\(46\) −988172. + 148943.i −1.49686 + 0.225615i
\(47\) −93521.6 409745.i −0.131392 0.575666i −0.997166 0.0752312i \(-0.976031\pi\)
0.865774 0.500435i \(-0.166827\pi\)
\(48\) −198799. + 135539.i −0.259460 + 0.176897i
\(49\) 392892. 680508.i 0.477075 0.826318i
\(50\) 1.22616e6 + 2.12377e6i 1.38724 + 2.40278i
\(51\) −35316.6 17007.6i −0.0372806 0.0179534i
\(52\) −1.62668e6 + 501766.i −1.60432 + 0.494868i
\(53\) 2888.29 38541.5i 0.00266486 0.0355601i −0.995713 0.0924983i \(-0.970515\pi\)
0.998378 + 0.0569382i \(0.0181338\pi\)
\(54\) 378482. 1.65824e6i 0.327090 1.43308i
\(55\) 254286. + 647911.i 0.206088 + 0.525105i
\(56\) 31130.1 + 415402.i 0.0236877 + 0.316090i
\(57\) 661583. + 99717.6i 0.473175 + 0.0713197i
\(58\) −966162. + 896467.i −0.650207 + 0.603304i
\(59\) −1.77090e6 + 852819.i −1.12256 + 0.540599i −0.900684 0.434475i \(-0.856934\pi\)
−0.221881 + 0.975074i \(0.571220\pi\)
\(60\) 2.07643e6 + 1.41569e6i 1.24105 + 0.846132i
\(61\) 185527. 472715.i 0.104653 0.266652i −0.868950 0.494900i \(-0.835205\pi\)
0.973603 + 0.228248i \(0.0732998\pi\)
\(62\) 4.39874e6 + 1.35683e6i 2.34400 + 0.723028i
\(63\) −235571. 218578.i −0.118694 0.110132i
\(64\) −1.72325e6 2.16089e6i −0.821710 1.03039i
\(65\) 2.00902e6 + 2.51923e6i 0.907376 + 1.13781i
\(66\) 497834. + 461922.i 0.213148 + 0.197772i
\(67\) −2.98687e6 921326.i −1.21326 0.374241i −0.378888 0.925443i \(-0.623693\pi\)
−0.834372 + 0.551201i \(0.814170\pi\)
\(68\) −148704. + 378892.i −0.0573511 + 0.146128i
\(69\) 994221. + 677848.i 0.364343 + 0.248405i
\(70\) 1.52389e6 733866.i 0.531019 0.255725i
\(71\) −2.66957e6 + 2.47700e6i −0.885190 + 0.821337i −0.984800 0.173690i \(-0.944431\pi\)
0.0996101 + 0.995027i \(0.468240\pi\)
\(72\) −3.50561e6 528386.i −1.10688 0.166835i
\(73\) −312698. 4.17267e6i −0.0940796 1.25540i −0.821898 0.569635i \(-0.807085\pi\)
0.727818 0.685770i \(-0.240534\pi\)
\(74\) −2.22716e6 5.67472e6i −0.638912 1.62792i
\(75\) 657075. 2.87884e6i 0.179846 0.787957i
\(76\) 519174. 6.92790e6i 0.135664 1.81031i
\(77\) 284755. 87835.2i 0.0710810 0.0219256i
\(78\) 2.83263e6 + 1.36412e6i 0.675862 + 0.325478i
\(79\) −2.34401e6 4.05994e6i −0.534890 0.926457i −0.999169 0.0407677i \(-0.987020\pi\)
0.464278 0.885689i \(-0.346314\pi\)
\(80\) 2.36455e6 4.09553e6i 0.516338 0.894324i
\(81\) 1.29613e6 883690.i 0.270990 0.184758i
\(82\) 2.85386e6 + 1.25036e7i 0.571589 + 2.50430i
\(83\) 4.52040e6 681341.i 0.867769 0.130795i 0.299956 0.953953i \(-0.403028\pi\)
0.567813 + 0.823158i \(0.307790\pi\)
\(84\) 670848. 841217.i 0.123494 0.154857i
\(85\) 770442. 0.136073
\(86\) 6.32105e6 + 7.74690e6i 1.07163 + 1.31336i
\(87\) 1.58702e6 0.258383
\(88\) 2.04970e6 2.57025e6i 0.320628 0.402055i
\(89\) −1.01819e7 + 1.53467e6i −1.53095 + 0.230754i −0.859826 0.510587i \(-0.829428\pi\)
−0.671128 + 0.741341i \(0.734190\pi\)
\(90\) 3.20310e6 + 1.40337e7i 0.463151 + 2.02920i
\(91\) 1.13984e6 777128.i 0.158562 0.108105i
\(92\) 6.24745e6 1.08209e7i 0.836460 1.44879i
\(93\) −2.77141e6 4.80022e6i −0.357282 0.618830i
\(94\) 7.26183e6 + 3.49711e6i 0.901776 + 0.434272i
\(95\) −1.25660e7 + 3.87609e6i −1.50371 + 0.463833i
\(96\) −128693. + 1.71728e6i −0.0148458 + 0.198104i
\(97\) −2.58712e6 + 1.13349e7i −0.287816 + 1.26100i 0.599699 + 0.800225i \(0.295287\pi\)
−0.887515 + 0.460778i \(0.847570\pi\)
\(98\) 5.50550e6 + 1.40278e7i 0.590888 + 1.50556i
\(99\) 189522. + 2.52900e6i 0.0196307 + 0.261954i
\(100\) −3.03195e7 4.56993e6i −3.03195 0.456993i
\(101\) 1.30825e7 1.21388e7i 1.26347 1.17233i 0.286710 0.958017i \(-0.407438\pi\)
0.976764 0.214315i \(-0.0687521\pi\)
\(102\) 677290. 326166.i 0.0631937 0.0304325i
\(103\) 1.39028e7 + 9.47877e6i 1.25364 + 0.854715i 0.993827 0.110944i \(-0.0353875\pi\)
0.259811 + 0.965660i \(0.416340\pi\)
\(104\) 5.56019e6 1.41671e7i 0.484700 1.23500i
\(105\) −1.94614e6 600304.i −0.164063 0.0506068i
\(106\) 543344. + 504149.i 0.0443103 + 0.0411139i
\(107\) −1.08849e7 1.36492e7i −0.858974 1.07712i −0.996244 0.0865853i \(-0.972404\pi\)
0.137271 0.990534i \(-0.456167\pi\)
\(108\) 1.32595e7 + 1.66268e7i 1.01284 + 1.27007i
\(109\) −1.17105e7 1.08658e7i −0.866131 0.803652i 0.115724 0.993281i \(-0.463081\pi\)
−0.981856 + 0.189629i \(0.939272\pi\)
\(110\) −1.27551e7 3.93443e6i −0.913713 0.281843i
\(111\) −2.68175e6 + 6.83300e6i −0.186118 + 0.474221i
\(112\) −1.67289e6 1.14056e6i −0.112513 0.0767104i
\(113\) 7.43817e6 3.58204e6i 0.484944 0.233537i −0.175404 0.984497i \(-0.556123\pi\)
0.660348 + 0.750960i \(0.270409\pi\)
\(114\) −9.40573e6 + 8.72724e6i −0.594601 + 0.551709i
\(115\) −2.33867e7 3.52498e6i −1.43393 0.216130i
\(116\) −1.23150e6 1.64332e7i −0.0732537 0.977503i
\(117\) 4.28936e6 + 1.09291e7i 0.247595 + 0.630862i
\(118\) 8.38784e6 3.67495e7i 0.469962 2.05904i
\(119\) 24650.1 328932.i 0.00134092 0.0178934i
\(120\) −2.14698e7 + 6.62255e6i −1.13421 + 0.349858i
\(121\) 1.54385e7 + 7.43480e6i 0.792240 + 0.381523i
\(122\) 4.86939e6 + 8.43402e6i 0.242781 + 0.420509i
\(123\) 7.72144e6 1.33739e7i 0.374137 0.648024i
\(124\) −4.75545e7 + 3.24221e7i −2.23983 + 1.52709i
\(125\) 5.02444e6 + 2.20135e7i 0.230093 + 1.00810i
\(126\) 6.09403e6 918528.i 0.271399 0.0409068i
\(127\) −1.73340e7 + 2.17361e7i −0.750905 + 0.941606i −0.999636 0.0269670i \(-0.991415\pi\)
0.248731 + 0.968573i \(0.419987\pi\)
\(128\) 4.34591e7 1.83166
\(129\) 765305. 1.20150e7i 0.0313885 0.492786i
\(130\) −6.17945e7 −2.46688
\(131\) 4.94206e6 6.19714e6i 0.192069 0.240847i −0.676467 0.736473i \(-0.736490\pi\)
0.868536 + 0.495626i \(0.165061\pi\)
\(132\) −8.39641e6 + 1.26556e6i −0.317750 + 0.0478930i
\(133\) 1.25281e6 + 5.48893e6i 0.0461748 + 0.202305i
\(134\) 4.95283e7 3.37678e7i 1.77822 1.21237i
\(135\) 2.01271e7 3.48612e7i 0.704066 1.21948i
\(136\) −1.81948e6 3.15143e6i −0.0620241 0.107429i
\(137\) −1.94855e7 9.38371e6i −0.647424 0.311783i 0.0811988 0.996698i \(-0.474125\pi\)
−0.728623 + 0.684915i \(0.759839\pi\)
\(138\) −2.20514e7 + 6.80196e6i −0.714265 + 0.220322i
\(139\) −302861. + 4.04140e6i −0.00956516 + 0.127638i −0.999942 0.0107578i \(-0.996576\pi\)
0.990377 + 0.138396i \(0.0441947\pi\)
\(140\) −4.70583e6 + 2.06176e7i −0.144940 + 0.635023i
\(141\) −3.54569e6 9.03428e6i −0.106521 0.271411i
\(142\) −5.21912e6 6.96443e7i −0.152964 2.04116i
\(143\) −1.07655e7 1.62265e6i −0.307865 0.0464032i
\(144\) 1.26315e7 1.17203e7i 0.352521 0.327092i
\(145\) −2.81036e7 + 1.35340e7i −0.765551 + 0.368670i
\(146\) 6.63027e7 + 4.52044e7i 1.76318 + 1.20211i
\(147\) 6.62923e6 1.68910e7i 0.172128 0.438576i
\(148\) 7.28349e7 + 2.24666e7i 1.84682 + 0.569667i
\(149\) −2.12831e7 1.97478e7i −0.527087 0.489065i 0.371153 0.928572i \(-0.378963\pi\)
−0.898239 + 0.439507i \(0.855153\pi\)
\(150\) 3.53077e7 + 4.42744e7i 0.854181 + 1.07111i
\(151\) 6.86162e6 + 8.60421e6i 0.162184 + 0.203372i 0.856282 0.516508i \(-0.172768\pi\)
−0.694099 + 0.719880i \(0.744197\pi\)
\(152\) 4.55307e7 + 4.22463e7i 1.05160 + 0.975745i
\(153\) 2.68252e6 + 827448.i 0.0605512 + 0.0186776i
\(154\) −2.08786e6 + 5.31978e6i −0.0460658 + 0.117374i
\(155\) 9.00133e7 + 6.13701e7i 1.94154 + 1.32372i
\(156\) −3.54170e7 + 1.70559e7i −0.746922 + 0.359699i
\(157\) 5.06323e7 4.69799e7i 1.04419 0.968865i 0.0446420 0.999003i \(-0.485785\pi\)
0.999546 + 0.0301385i \(0.00959482\pi\)
\(158\) 8.89011e7 + 1.33997e7i 1.79311 + 0.270268i
\(159\) −66696.4 890001.i −0.00131587 0.0175590i
\(160\) −1.23659e7 3.15079e7i −0.238675 0.608134i
\(161\) −2.25321e6 + 9.87195e6i −0.0425511 + 0.186428i
\(162\) −2.24820e6 + 3.00002e7i −0.0415464 + 0.554398i
\(163\) 3.49013e7 1.07656e7i 0.631225 0.194707i 0.0373989 0.999300i \(-0.488093\pi\)
0.593826 + 0.804593i \(0.297617\pi\)
\(164\) −1.44475e8 6.95756e7i −2.55764 1.23170i
\(165\) 8.03631e6 + 1.39193e7i 0.139272 + 0.241226i
\(166\) −4.38350e7 + 7.59244e7i −0.743777 + 1.28826i
\(167\) 8.64868e7 5.89657e7i 1.43695 0.979697i 0.440307 0.897847i \(-0.354870\pi\)
0.996645 0.0818497i \(-0.0260828\pi\)
\(168\) 2.14051e6 + 9.37820e6i 0.0348285 + 0.152594i
\(169\) 1.22090e7 1.84022e6i 0.194571 0.0293269i
\(170\) −9.21223e6 + 1.15518e7i −0.143811 + 0.180334i
\(171\) −4.79151e7 −0.732800
\(172\) −1.25006e8 + 1.39884e6i −1.87318 + 0.0209613i
\(173\) −6.28442e7 −0.922792 −0.461396 0.887194i \(-0.652651\pi\)
−0.461396 + 0.887194i \(0.652651\pi\)
\(174\) −1.89761e7 + 2.37953e7i −0.273076 + 0.342427i
\(175\) 2.45708e7 3.70345e6i 0.346566 0.0522365i
\(176\) 3.55558e6 + 1.55780e7i 0.0491604 + 0.215386i
\(177\) −3.75017e7 + 2.55682e7i −0.508329 + 0.346573i
\(178\) 9.87349e7 1.71014e8i 1.31220 2.27280i
\(179\) 2.42377e7 + 4.19809e7i 0.315868 + 0.547100i 0.979622 0.200852i \(-0.0643709\pi\)
−0.663754 + 0.747951i \(0.731038\pi\)
\(180\) −1.62156e8 7.80900e7i −2.07242 0.998026i
\(181\) −4.58122e7 + 1.41312e7i −0.574256 + 0.177135i −0.568262 0.822847i \(-0.692384\pi\)
−0.00599396 + 0.999982i \(0.501908\pi\)
\(182\) −1.97710e6 + 2.63825e7i −0.0243096 + 0.324390i
\(183\) 2.60941e6 1.14326e7i 0.0314748 0.137900i
\(184\) 4.08115e7 + 1.03986e8i 0.482971 + 1.23059i
\(185\) −1.07817e7 1.43871e8i −0.125195 1.67060i
\(186\) 1.05111e8 + 1.58429e7i 1.19771 + 0.180526i
\(187\) −1.90824e6 + 1.77059e6i −0.0213397 + 0.0198004i
\(188\) −9.07963e7 + 4.37252e7i −0.996588 + 0.479932i
\(189\) −1.42397e7 9.70844e6i −0.153421 0.104600i
\(190\) 9.21354e7 2.34757e8i 0.974516 2.48303i
\(191\) −1.30981e7 4.04024e6i −0.136017 0.0419557i 0.225999 0.974127i \(-0.427435\pi\)
−0.362016 + 0.932172i \(0.617911\pi\)
\(192\) −4.67860e7 4.34111e7i −0.477047 0.442635i
\(193\) 8.40662e7 + 1.05416e8i 0.841727 + 1.05549i 0.997704 + 0.0677310i \(0.0215760\pi\)
−0.155977 + 0.987761i \(0.549853\pi\)
\(194\) −1.39018e8 1.74323e8i −1.36698 1.71414i
\(195\) 5.45445e7 + 5.06099e7i 0.526781 + 0.488781i
\(196\) −1.80046e8 5.55369e7i −1.70800 0.526848i
\(197\) −4.06233e7 + 1.03506e8i −0.378567 + 0.964574i 0.606910 + 0.794770i \(0.292409\pi\)
−0.985478 + 0.169804i \(0.945687\pi\)
\(198\) −4.01851e7 2.73978e7i −0.367906 0.250834i
\(199\) −7.11551e7 + 3.42665e7i −0.640059 + 0.308236i −0.725619 0.688097i \(-0.758446\pi\)
0.0855598 + 0.996333i \(0.472732\pi\)
\(200\) 2.00949e8 1.86454e8i 1.77616 1.64803i
\(201\) −7.13733e7 1.07578e7i −0.619940 0.0934410i
\(202\) 2.55769e7 + 3.41300e8i 0.218332 + 2.91344i
\(203\) 4.87903e6 + 1.24316e7i 0.0409352 + 0.104301i
\(204\) −2.09150e6 + 9.16346e6i −0.0172485 + 0.0755707i
\(205\) −2.26827e7 + 3.02679e8i −0.183889 + 2.45383i
\(206\) −3.08358e8 + 9.51160e7i −2.45765 + 0.758086i
\(207\) −7.76420e7 3.73904e7i −0.608416 0.292998i
\(208\) 3.69861e7 + 6.40619e7i 0.284982 + 0.493603i
\(209\) 2.22158e7 3.84789e7i 0.168326 0.291549i
\(210\) 3.22709e7 2.20019e7i 0.240460 0.163943i
\(211\) −7.28177e6 3.19035e7i −0.0533640 0.233803i 0.941212 0.337817i \(-0.109688\pi\)
−0.994576 + 0.104014i \(0.966831\pi\)
\(212\) −9.16398e6 + 1.38125e6i −0.0660554 + 0.00995626i
\(213\) −5.24321e7 + 6.57478e7i −0.371765 + 0.466179i
\(214\) 3.34803e8 2.33529
\(215\) 8.89105e7 + 2.19293e8i 0.610124 + 1.50484i
\(216\) −1.90129e8 −1.28369
\(217\) 2.90813e7 3.64668e7i 0.193199 0.242264i
\(218\) 3.02942e8 4.56611e7i 1.98044 0.298503i
\(219\) −2.15012e7 9.42029e7i −0.138327 0.606052i
\(220\) 1.37895e8 9.40151e7i 0.873109 0.595276i
\(221\) −6.02559e6 + 1.04366e7i −0.0375514 + 0.0650410i
\(222\) −7.03859e7 1.21912e8i −0.431768 0.747844i
\(223\) −4.44074e7 2.13855e7i −0.268157 0.129137i 0.294974 0.955505i \(-0.404689\pi\)
−0.563131 + 0.826368i \(0.690403\pi\)
\(224\) −1.38476e7 + 4.27143e6i −0.0823203 + 0.0253925i
\(225\) −1.58034e7 + 2.10881e8i −0.0924934 + 1.23424i
\(226\) −3.52308e7 + 1.54356e8i −0.203022 + 0.889498i
\(227\) 2.75124e7 + 7.01005e7i 0.156113 + 0.397769i 0.987436 0.158021i \(-0.0505113\pi\)
−0.831323 + 0.555790i \(0.812416\pi\)
\(228\) −1.19888e7 1.59979e8i −0.0669890 0.893906i
\(229\) 1.36190e8 + 2.05274e7i 0.749413 + 0.112956i 0.512634 0.858608i \(-0.328670\pi\)
0.236780 + 0.971563i \(0.423908\pi\)
\(230\) 3.32489e8 3.08505e8i 1.80190 1.67192i
\(231\) 6.19982e6 2.98568e6i 0.0330931 0.0159368i
\(232\) 1.21729e8 + 8.29936e7i 0.640010 + 0.436351i
\(233\) 9.06296e7 2.30920e8i 0.469380 1.19596i −0.478714 0.877971i \(-0.658897\pi\)
0.948094 0.317990i \(-0.103008\pi\)
\(234\) −2.15156e8 6.63668e7i −1.09774 0.338607i
\(235\) 1.39832e8 + 1.29746e8i 0.702863 + 0.652161i
\(236\) 2.93853e8 + 3.68480e8i 1.45525 + 1.82483i
\(237\) −6.74964e7 8.46379e7i −0.329353 0.412996i
\(238\) 4.63717e6 + 4.30266e6i 0.0222963 + 0.0206880i
\(239\) −1.07359e8 3.31157e7i −0.508679 0.156907i 0.0297829 0.999556i \(-0.490518\pi\)
−0.538462 + 0.842650i \(0.680995\pi\)
\(240\) 3.98970e7 1.01656e8i 0.186295 0.474671i
\(241\) −2.08920e8 1.42439e8i −0.961436 0.655496i −0.0225576 0.999746i \(-0.507181\pi\)
−0.938878 + 0.344250i \(0.888133\pi\)
\(242\) −2.96075e8 + 1.42582e8i −1.34291 + 0.646712i
\(243\) 1.68743e8 1.56570e8i 0.754402 0.699983i
\(244\) −1.20406e8 1.81483e7i −0.530620 0.0799781i
\(245\) 2.66521e7 + 3.55647e8i 0.115784 + 1.54503i
\(246\) 1.08199e8 + 2.75686e8i 0.463393 + 1.18071i
\(247\) 4.57713e7 2.00537e8i 0.193265 0.846750i
\(248\) 3.84533e7 5.13124e8i 0.160086 2.13620i
\(249\) 1.00874e8 3.11156e7i 0.414079 0.127727i
\(250\) −3.90142e8 1.87882e8i −1.57918 0.760494i
\(251\) −1.99490e8 3.45527e8i −0.796276 1.37919i −0.922026 0.387129i \(-0.873467\pi\)
0.125749 0.992062i \(-0.459867\pi\)
\(252\) −3.85279e7 + 6.67322e7i −0.151661 + 0.262684i
\(253\) 6.60257e7 4.50155e7i 0.256325 0.174759i
\(254\) −1.18641e8 5.19801e8i −0.454273 1.99030i
\(255\) 1.75923e7 2.65162e6i 0.0664405 0.0100143i
\(256\) −2.99067e8 + 3.75018e8i −1.11411 + 1.39705i
\(257\) −1.08408e8 −0.398379 −0.199189 0.979961i \(-0.563831\pi\)
−0.199189 + 0.979961i \(0.563831\pi\)
\(258\) 1.70998e8 + 1.55139e8i 0.619900 + 0.562407i
\(259\) −6.17694e7 −0.220915
\(260\) 4.81728e8 6.04067e8i 1.69979 2.13147i
\(261\) −1.12386e8 + 1.69395e7i −0.391266 + 0.0589738i
\(262\) 3.38255e7 + 1.48199e8i 0.116196 + 0.509087i
\(263\) 4.17531e7 2.84668e7i 0.141529 0.0964925i −0.490486 0.871449i \(-0.663181\pi\)
0.632014 + 0.774957i \(0.282228\pi\)
\(264\) 3.79572e7 6.57437e7i 0.126964 0.219908i
\(265\) 8.77096e6 + 1.51917e7i 0.0289525 + 0.0501473i
\(266\) −9.72794e7 4.68473e7i −0.316909 0.152615i
\(267\) −2.27212e8 + 7.00856e7i −0.730536 + 0.225341i
\(268\) −5.60099e7 + 7.47401e8i −0.177743 + 2.37182i
\(269\) −1.09499e8 + 4.79747e8i −0.342987 + 1.50272i 0.449747 + 0.893156i \(0.351514\pi\)
−0.792734 + 0.609568i \(0.791343\pi\)
\(270\) 2.82037e8 + 7.18618e8i 0.872032 + 2.22190i
\(271\) −3.00053e6 4.00393e7i −0.00915810 0.122206i 0.990751 0.135693i \(-0.0433260\pi\)
−0.999909 + 0.0134865i \(0.995707\pi\)
\(272\) 1.74894e7 + 2.63611e6i 0.0526969 + 0.00794278i
\(273\) 2.33525e7 2.16680e7i 0.0694648 0.0644539i
\(274\) 3.73686e8 1.79958e8i 1.09744 0.528498i
\(275\) −1.62024e8 1.10466e8i −0.469803 0.320306i
\(276\) 1.05413e8 2.68587e8i 0.301795 0.768960i
\(277\) 5.34584e8 + 1.64897e8i 1.51125 + 0.466160i 0.936055 0.351855i \(-0.114449\pi\)
0.575198 + 0.818015i \(0.304925\pi\)
\(278\) −5.69742e7 5.28644e7i −0.159046 0.147573i
\(279\) 2.47497e8 + 3.10352e8i 0.682269 + 0.855538i
\(280\) −1.17882e8 1.47819e8i −0.320918 0.402418i
\(281\) −2.78620e8 2.58521e8i −0.749100 0.695063i 0.210135 0.977672i \(-0.432610\pi\)
−0.959235 + 0.282609i \(0.908800\pi\)
\(282\) 1.77853e8 + 5.48605e7i 0.472270 + 0.145676i
\(283\) 3.57888e7 9.11883e7i 0.0938630 0.239159i −0.876230 0.481894i \(-0.839949\pi\)
0.970093 + 0.242735i \(0.0780444\pi\)
\(284\) 7.21488e8 + 4.91902e8i 1.86902 + 1.27428i
\(285\) −2.73593e8 + 1.31755e8i −0.700080 + 0.337141i
\(286\) 1.53054e8 1.42013e8i 0.386868 0.358961i
\(287\) 1.28500e8 + 1.93683e7i 0.320861 + 0.0483620i
\(288\) −9.21645e6 1.22985e8i −0.0227347 0.303374i
\(289\) −1.48861e8 3.79291e8i −0.362776 0.924337i
\(290\) 1.33112e8 5.83204e8i 0.320498 1.40419i
\(291\) −2.00633e7 + 2.67726e8i −0.0477284 + 0.636891i
\(292\) −9.58763e8 + 2.95739e8i −2.25357 + 0.695135i
\(293\) −2.96535e8 1.42804e8i −0.688714 0.331667i 0.0565846 0.998398i \(-0.481979\pi\)
−0.745299 + 0.666730i \(0.767693\pi\)
\(294\) 1.73992e8 + 3.01364e8i 0.399314 + 0.691632i
\(295\) 4.46053e8 7.72586e8i 1.01160 1.75214i
\(296\) −5.63032e8 + 3.83869e8i −1.26186 + 0.860324i
\(297\) 3.02651e7 + 1.32600e8i 0.0670339 + 0.293695i
\(298\) 5.50575e8 8.29859e7i 1.20520 0.181655i
\(299\) 2.30657e8 2.89235e8i 0.499019 0.625750i
\(300\) −7.08047e8 −1.51404
\(301\) 9.64694e7 3.09432e7i 0.203895 0.0654007i
\(302\) −2.11054e8 −0.440929
\(303\) 2.56950e8 3.22205e8i 0.530639 0.665400i
\(304\) −2.98517e8 + 4.49942e7i −0.609413 + 0.0918542i
\(305\) 5.12876e7 + 2.24706e8i 0.103505 + 0.453486i
\(306\) −4.44816e7 + 3.03270e7i −0.0887473 + 0.0605069i
\(307\) 1.73794e8 3.01020e8i 0.342807 0.593760i −0.642146 0.766583i \(-0.721956\pi\)
0.984953 + 0.172823i \(0.0552889\pi\)
\(308\) −3.57269e7 6.18807e7i −0.0696735 0.120678i
\(309\) 3.50081e8 + 1.68590e8i 0.675015 + 0.325070i
\(310\) −1.99646e9 + 6.15826e8i −3.80623 + 1.17407i
\(311\) −6.10509e7 + 8.14668e8i −0.115088 + 1.53575i 0.578684 + 0.815552i \(0.303566\pi\)
−0.693773 + 0.720194i \(0.744053\pi\)
\(312\) 7.82032e7 3.42631e8i 0.145775 0.638682i
\(313\) −2.77222e8 7.06350e8i −0.511002 1.30201i −0.920871 0.389867i \(-0.872521\pi\)
0.409869 0.912144i \(-0.365574\pi\)
\(314\) 9.89883e7 + 1.32091e9i 0.180439 + 2.40779i
\(315\) 1.44225e8 + 2.17385e7i 0.259989 + 0.0391870i
\(316\) −8.24027e8 + 7.64586e8i −1.46905 + 1.36308i
\(317\) −7.83516e7 + 3.77321e7i −0.138147 + 0.0665279i −0.501680 0.865053i \(-0.667285\pi\)
0.363533 + 0.931581i \(0.381570\pi\)
\(318\) 1.41419e7 + 9.64178e6i 0.0246611 + 0.0168137i
\(319\) 3.85044e7 9.81076e7i 0.0664114 0.169214i
\(320\) 1.19871e9 + 3.69754e8i 2.04499 + 0.630795i
\(321\) −2.95522e8 2.74205e8i −0.498681 0.462708i
\(322\) −1.21075e8 1.51824e8i −0.202097 0.253422i
\(323\) −3.06646e7 3.84521e7i −0.0506323 0.0634909i
\(324\) −2.75738e8 2.55848e8i −0.450391 0.417901i
\(325\) −8.67497e8 2.67587e8i −1.40177 0.432388i
\(326\) −2.55901e8 + 6.52024e8i −0.409081 + 1.04232i
\(327\) −3.04796e8 2.07806e8i −0.482050 0.328656i
\(328\) 1.29165e9 6.22027e8i 2.02110 0.973309i
\(329\) 5.98675e7 5.55489e7i 0.0926841 0.0859983i
\(330\) −3.04793e8 4.59401e7i −0.466880 0.0703709i
\(331\) −5.28939e7 7.05820e8i −0.0801692 1.06978i −0.881694 0.471822i \(-0.843597\pi\)
0.801525 0.597962i \(-0.204023\pi\)
\(332\) −4.00471e8 1.02038e9i −0.600604 1.53031i
\(333\) 1.16977e8 5.12511e8i 0.173599 0.760585i
\(334\) −1.50015e8 + 2.00181e9i −0.220304 + 2.93975i
\(335\) 1.35565e9 4.18163e8i 1.97011 0.607700i
\(336\) −4.21244e7 2.02861e7i −0.0605824 0.0291749i
\(337\) −2.02780e8 3.51225e8i −0.288616 0.499897i 0.684864 0.728671i \(-0.259862\pi\)
−0.973480 + 0.228774i \(0.926528\pi\)
\(338\) −1.18393e8 + 2.05062e8i −0.166770 + 0.288853i
\(339\) 1.57516e8 1.07392e8i 0.219596 0.149718i
\(340\) −4.11082e7 1.80107e8i −0.0567221 0.248516i
\(341\) −3.63985e8 + 5.48618e7i −0.497099 + 0.0749256i
\(342\) 5.72924e8 7.18424e8i 0.774472 0.971157i
\(343\) 3.12723e8 0.418437
\(344\) 6.87027e8 8.81563e8i 0.909954 1.16761i
\(345\) −5.46147e8 −0.716049
\(346\) 7.51432e8 9.42266e8i 0.975267 1.22295i
\(347\) −7.01271e8 + 1.05700e8i −0.901016 + 0.135806i −0.583183 0.812341i \(-0.698193\pi\)
−0.317833 + 0.948147i \(0.602955\pi\)
\(348\) −8.46779e7 3.70998e8i −0.107707 0.471894i
\(349\) −4.60217e8 + 3.13771e8i −0.579527 + 0.395115i −0.817306 0.576205i \(-0.804533\pi\)
0.237778 + 0.971319i \(0.423581\pi\)
\(350\) −2.38267e8 + 4.12690e8i −0.297047 + 0.514500i
\(351\) 3.14826e8 + 5.45295e8i 0.388594 + 0.673065i
\(352\) 1.03038e8 + 4.96206e7i 0.125921 + 0.0606404i
\(353\) −9.59529e8 + 2.95976e8i −1.16104 + 0.358133i −0.814647 0.579957i \(-0.803069\pi\)
−0.346392 + 0.938090i \(0.612593\pi\)
\(354\) 6.50484e7 8.68011e8i 0.0779337 1.03995i
\(355\) 3.67798e8 1.61143e9i 0.436325 1.91167i
\(356\) 9.02031e8 + 2.29834e9i 1.05961 + 2.69984i
\(357\) −569220. 7.59571e6i −0.000662127 0.00883547i
\(358\) −9.19261e8 1.38556e8i −1.05888 0.159601i
\(359\) 2.61369e8 2.42515e8i 0.298143 0.276636i −0.516889 0.856052i \(-0.672910\pi\)
0.815032 + 0.579416i \(0.196720\pi\)
\(360\) 1.44972e9 6.98148e8i 1.63767 0.788658i
\(361\) −4.49568e7 3.06510e7i −0.0502945 0.0342902i
\(362\) 3.35901e8 8.55861e8i 0.372161 0.948251i
\(363\) 3.78113e8 + 1.16632e8i 0.414905 + 0.127981i
\(364\) −2.42488e8 2.24996e8i −0.263533 0.244523i
\(365\) 1.18411e9 + 1.48483e9i 1.27458 + 1.59827i
\(366\) 1.40215e8 + 1.75825e8i 0.149490 + 0.187454i
\(367\) −1.06960e9 9.92440e8i −1.12951 1.04803i −0.998393 0.0566612i \(-0.981955\pi\)
−0.131113 0.991367i \(-0.541855\pi\)
\(368\) −5.18831e8 1.60038e8i −0.542698 0.167400i
\(369\) −4.04052e8 + 1.02951e9i −0.418644 + 1.06669i
\(370\) 2.28608e9 + 1.55862e9i 2.34631 + 1.59969i
\(371\) 6.76659e6 3.25862e6i 0.00687956 0.00331302i
\(372\) −9.74278e8 + 9.03998e8i −0.981257 + 0.910474i
\(373\) 4.95193e8 + 7.46383e7i 0.494076 + 0.0744699i 0.391354 0.920240i \(-0.372007\pi\)
0.102722 + 0.994710i \(0.467245\pi\)
\(374\) −3.73070e6 4.97827e7i −0.00368757 0.0492071i
\(375\) 1.90492e8 + 4.85366e8i 0.186538 + 0.475292i
\(376\) 2.00485e8 8.78381e8i 0.194502 0.852168i
\(377\) 3.64617e7 4.86548e8i 0.0350463 0.467661i
\(378\) 3.15830e8 9.74207e7i 0.300768 0.0927748i
\(379\) 1.79424e9 + 8.64060e8i 1.69295 + 0.815279i 0.995083 + 0.0990476i \(0.0315796\pi\)
0.697862 + 0.716232i \(0.254135\pi\)
\(380\) 1.57660e9 + 2.73074e9i 1.47393 + 2.55293i
\(381\) −3.20997e8 + 5.55983e8i −0.297347 + 0.515020i
\(382\) 2.17194e8 1.48080e8i 0.199354 0.135917i
\(383\) −5.73846e6 2.51418e7i −0.00521915 0.0228666i 0.972251 0.233939i \(-0.0751616\pi\)
−0.977470 + 0.211072i \(0.932304\pi\)
\(384\) 9.92349e8 1.49573e8i 0.894345 0.134801i
\(385\) −8.43275e7 + 1.05743e8i −0.0753107 + 0.0944366i
\(386\) −2.58576e9 −2.28840
\(387\) 7.40495e7 + 8.59021e8i 0.0649432 + 0.753383i
\(388\) 2.78781e9 2.42299
\(389\) −7.72417e8 + 9.68580e8i −0.665316 + 0.834280i −0.993910 0.110191i \(-0.964854\pi\)
0.328594 + 0.944471i \(0.393425\pi\)
\(390\) −1.41102e9 + 2.12678e8i −1.20450 + 0.181550i
\(391\) −1.96831e7 8.62372e7i −0.0166523 0.0729585i
\(392\) 1.39180e9 9.48915e8i 1.16702 0.795658i
\(393\) 9.15188e7 1.58515e8i 0.0760565 0.131734i
\(394\) −1.06621e9 1.84673e9i −0.878224 1.52113i
\(395\) 1.91704e9 + 9.23199e8i 1.56510 + 0.753712i
\(396\) 5.81093e8 1.79243e8i 0.470232 0.145047i
\(397\) −1.15153e8 + 1.53661e9i −0.0923654 + 1.23253i 0.737802 + 0.675017i \(0.235864\pi\)
−0.830168 + 0.557514i \(0.811755\pi\)
\(398\) 3.37025e8 1.47660e9i 0.267961 1.17401i
\(399\) 4.74981e7 + 1.21023e8i 0.0374344 + 0.0953813i
\(400\) 9.95691e7 + 1.32866e9i 0.0777884 + 1.03801i
\(401\) −2.04446e9 3.08153e8i −1.58334 0.238650i −0.702365 0.711817i \(-0.747872\pi\)
−0.880973 + 0.473167i \(0.843111\pi\)
\(402\) 1.01472e9 9.41518e8i 0.779028 0.722832i
\(403\) −1.53533e9 + 7.39374e8i −1.16851 + 0.562725i
\(404\) −3.53573e9 2.41062e9i −2.66775 1.81884i
\(405\) −2.60121e8 + 6.62778e8i −0.194573 + 0.495764i
\(406\) −2.44734e8 7.54904e7i −0.181490 0.0559823i
\(407\) 3.57343e8 + 3.31566e8i 0.262727 + 0.243775i
\(408\) −5.23924e7 6.56980e7i −0.0381907 0.0478896i
\(409\) −5.15647e8 6.46601e8i −0.372667 0.467310i 0.559767 0.828650i \(-0.310891\pi\)
−0.932434 + 0.361340i \(0.882319\pi\)
\(410\) −4.26706e9 3.95926e9i −3.05763 2.83707i
\(411\) −4.77229e8 1.47206e8i −0.339063 0.104587i
\(412\) 1.47405e9 3.75582e9i 1.03842 2.64585i
\(413\) −3.15576e8 2.15156e8i −0.220434 0.150290i
\(414\) 1.48899e9 7.17061e8i 1.03131 0.496655i
\(415\) −1.52098e9 + 1.41126e9i −1.04461 + 0.969256i
\(416\) 5.23528e8 + 7.89092e7i 0.356544 + 0.0537404i
\(417\) 6.99368e6 + 9.33242e7i 0.00472313 + 0.0630258i
\(418\) 3.11305e8 + 7.93192e8i 0.208482 + 0.531204i
\(419\) 4.26741e8 1.86968e9i 0.283410 1.24170i −0.609979 0.792418i \(-0.708822\pi\)
0.893389 0.449284i \(-0.148321\pi\)
\(420\) −3.64941e7 + 4.86980e8i −0.0240353 + 0.320729i
\(421\) −1.70203e9 + 5.25006e8i −1.11168 + 0.342907i −0.795598 0.605825i \(-0.792843\pi\)
−0.316081 + 0.948732i \(0.602367\pi\)
\(422\) 5.65420e8 + 2.72292e8i 0.366250 + 0.176377i
\(423\) 3.47522e8 + 6.01927e8i 0.223250 + 0.386680i
\(424\) 4.14271e7 7.17538e7i 0.0263939 0.0457156i
\(425\) −1.79347e8 + 1.22277e8i −0.113327 + 0.0772651i
\(426\) −3.58868e8 1.57230e9i −0.224906 0.985378i
\(427\) 9.75767e7 1.47073e7i 0.0606524 0.00914189i
\(428\) −2.61000e9 + 3.27284e9i −1.60912 + 2.01777i
\(429\) −2.51406e8 −0.153736
\(430\) −4.35112e9 1.28900e9i −2.63913 0.781833i
\(431\) 2.67851e9 1.61147 0.805737 0.592273i \(-0.201769\pi\)
0.805737 + 0.592273i \(0.201769\pi\)
\(432\) 5.76176e8 7.22502e8i 0.343845 0.431167i
\(433\) 2.59836e9 3.91639e8i 1.53812 0.231835i 0.675378 0.737472i \(-0.263981\pi\)
0.862746 + 0.505637i \(0.168743\pi\)
\(434\) 1.99045e8 + 8.72071e8i 0.116879 + 0.512080i
\(435\) −5.95141e8 + 4.05760e8i −0.346663 + 0.236351i
\(436\) −1.91527e9 + 3.31734e9i −1.10669 + 1.91685i
\(437\) 7.54893e8 + 1.30751e9i 0.432713 + 0.749481i
\(438\) 1.66954e9 + 8.04009e8i 0.949375 + 0.457195i
\(439\) −2.30333e9 + 7.10482e8i −1.29936 + 0.400799i −0.865829 0.500339i \(-0.833209\pi\)
−0.433531 + 0.901139i \(0.642732\pi\)
\(440\) −1.11504e8 + 1.48791e9i −0.0624030 + 0.832710i
\(441\) −2.89165e8 + 1.26691e9i −0.160550 + 0.703416i
\(442\) −8.44351e7 2.15137e8i −0.0465099 0.118505i
\(443\) −1.02755e8 1.37117e9i −0.0561552 0.749338i −0.952220 0.305414i \(-0.901205\pi\)
0.896064 0.443924i \(-0.146414\pi\)
\(444\) 1.74044e9 + 2.62330e8i 0.943669 + 0.142235i
\(445\) 3.42588e9 3.17876e9i 1.84295 1.71000i
\(446\) 8.51630e8 4.10124e8i 0.454547 0.218898i
\(447\) −5.53945e8 3.77673e8i −0.293353 0.200005i
\(448\) 1.96215e8 4.99948e8i 0.103100 0.262695i
\(449\) −2.19204e9 6.76154e8i −1.14284 0.352520i −0.335173 0.942157i \(-0.608795\pi\)
−0.807669 + 0.589637i \(0.799271\pi\)
\(450\) −2.97293e9 2.75847e9i −1.53794 1.42700i
\(451\) −6.39422e8 8.01810e8i −0.328224 0.411579i
\(452\) −1.23425e9 1.54770e9i −0.628664 0.788320i
\(453\) 1.86292e8 + 1.72854e8i 0.0941566 + 0.0873645i
\(454\) −1.38003e9 4.25684e8i −0.692140 0.213497i
\(455\) −2.28754e8 + 5.82855e8i −0.113849 + 0.290082i
\(456\) 1.18505e9 + 8.07954e8i 0.585275 + 0.399034i
\(457\) 2.57324e9 1.23921e9i 1.26117 0.607347i 0.320685 0.947186i \(-0.396087\pi\)
0.940483 + 0.339839i \(0.110373\pi\)
\(458\) −1.93622e9 + 1.79655e9i −0.941726 + 0.873794i
\(459\) 1.48870e8 + 2.24386e7i 0.0718561 + 0.0108306i
\(460\) 4.23800e8 + 5.65521e9i 0.203006 + 2.70892i
\(461\) 1.11772e9 + 2.84790e9i 0.531348 + 1.35385i 0.904655 + 0.426144i \(0.140128\pi\)
−0.373308 + 0.927708i \(0.621776\pi\)
\(462\) −2.93654e7 + 1.28658e8i −0.0138544 + 0.0607003i
\(463\) −1.17085e8 + 1.56239e9i −0.0548237 + 0.731571i 0.900282 + 0.435306i \(0.143360\pi\)
−0.955106 + 0.296264i \(0.904259\pi\)
\(464\) −6.84274e8 + 2.11071e8i −0.317993 + 0.0980878i
\(465\) 2.26659e9 + 1.09153e9i 1.04541 + 0.503444i
\(466\) 2.37869e9 + 4.12001e9i 1.08890 + 1.88602i
\(467\) −1.41500e9 + 2.45086e9i −0.642907 + 1.11355i 0.341873 + 0.939746i \(0.388939\pi\)
−0.984781 + 0.173802i \(0.944395\pi\)
\(468\) 2.32604e9 1.58587e9i 1.04895 0.715165i
\(469\) −1.35157e8 5.92161e8i −0.0604969 0.265054i
\(470\) −3.61735e9 + 5.45228e8i −1.60712 + 0.242234i
\(471\) 9.94453e8 1.24700e9i 0.438542 0.549914i
\(472\) −4.21360e9 −1.84440
\(473\) −7.24183e8 3.38819e8i −0.314655 0.147215i
\(474\) 2.07609e9 0.895412
\(475\) 2.31000e9 2.89665e9i 0.988972 1.24013i
\(476\) −7.82099e7 + 1.17883e7i −0.0332382 + 0.00500985i
\(477\) 1.42229e7 + 6.23145e7i 0.00600030 + 0.0262890i
\(478\) 1.78022e9 1.21373e9i 0.745550 0.508307i
\(479\) 1.10869e9 1.92031e9i 0.460932 0.798357i −0.538076 0.842896i \(-0.680849\pi\)
0.999008 + 0.0445394i \(0.0141820\pi\)
\(480\) −3.90806e8 6.76895e8i −0.161293 0.279368i
\(481\) 2.03325e9 + 9.79160e8i 0.833072 + 0.401186i
\(482\) 4.63376e9 1.42933e9i 1.88482 0.581389i
\(483\) −1.74738e7 + 2.33172e8i −0.00705623 + 0.0941589i
\(484\) 9.14290e8 4.00577e9i 0.366543 1.60593i
\(485\) −1.92786e9 4.91211e9i −0.767326 1.95511i
\(486\) 3.29899e8 + 4.40220e9i 0.130363 + 1.73957i
\(487\) 2.67531e9 + 4.03238e8i 1.04960 + 0.158201i 0.651118 0.758977i \(-0.274300\pi\)
0.398478 + 0.917178i \(0.369538\pi\)
\(488\) 7.98018e8 7.40453e8i 0.310845 0.288422i
\(489\) 7.59887e8 3.65942e8i 0.293879 0.141525i
\(490\) −5.65114e9 3.85288e9i −2.16995 1.47945i
\(491\) −1.42285e8 + 3.62536e8i −0.0542467 + 0.138218i −0.955428 0.295224i \(-0.904606\pi\)
0.901181 + 0.433442i \(0.142701\pi\)
\(492\) −3.53842e9 1.09146e9i −1.33947 0.413171i
\(493\) −8.55188e7 7.93498e7i −0.0321438 0.0298251i
\(494\) 2.45950e9 + 3.08412e9i 0.917915 + 1.15103i
\(495\) −7.17672e8 8.99932e8i −0.265955 0.333497i
\(496\) 1.83337e9 + 1.70112e9i 0.674628 + 0.625963i
\(497\) −6.76216e8 2.08585e8i −0.247080 0.0762141i
\(498\) −7.39625e8 + 1.88453e9i −0.268354 + 0.683756i
\(499\) −1.74284e9 1.18825e9i −0.627922 0.428110i 0.207105 0.978319i \(-0.433596\pi\)
−0.835027 + 0.550209i \(0.814548\pi\)
\(500\) 4.87803e9 2.34913e9i 1.74522 0.840452i
\(501\) 1.77191e9 1.64409e9i 0.629519 0.584108i
\(502\) 7.56605e9 + 1.14040e9i 2.66936 + 0.402341i
\(503\) −1.89388e8 2.52721e9i −0.0663537 0.885429i −0.926720 0.375753i \(-0.877384\pi\)
0.860366 0.509676i \(-0.170235\pi\)
\(504\) −2.51684e8 6.41280e8i −0.0875686 0.223121i
\(505\) −1.80244e9 + 7.89699e9i −0.622788 + 2.72861i
\(506\) −1.14524e8 + 1.52822e9i −0.0392981 + 0.524397i
\(507\) 2.72449e8 8.40394e7i 0.0928448 0.0286388i
\(508\) 6.00615e9 + 2.89241e9i 2.03270 + 0.978897i
\(509\) 3.02526e8 + 5.23990e8i 0.101683 + 0.176121i 0.912378 0.409348i \(-0.134244\pi\)
−0.810695 + 0.585469i \(0.800910\pi\)
\(510\) −1.70595e8 + 2.95480e8i −0.0569471 + 0.0986353i
\(511\) 6.71817e8 4.58037e8i 0.222729 0.151854i
\(512\) −8.09113e8 3.54495e9i −0.266418 1.16726i
\(513\) −2.54098e9 + 3.82991e8i −0.830980 + 0.125250i
\(514\) 1.29624e9 1.62544e9i 0.421033 0.527959i
\(515\) −7.63711e9 −2.46379
\(516\) −2.84958e9 + 4.62172e8i −0.913076 + 0.148091i
\(517\) −6.44515e8 −0.205124
\(518\) 7.38581e8 9.26152e8i 0.233477 0.292771i
\(519\) −1.43499e9 + 2.16290e8i −0.450571 + 0.0679127i
\(520\) 1.53707e9 + 6.73436e9i 0.479384 + 2.10032i
\(521\) −2.13497e9 + 1.45560e9i −0.661394 + 0.450931i −0.846928 0.531707i \(-0.821551\pi\)
0.185535 + 0.982638i \(0.440598\pi\)
\(522\) 1.08983e9 1.88763e9i 0.335359 0.580860i
\(523\) 1.96314e9 + 3.40026e9i 0.600062 + 1.03934i 0.992811 + 0.119692i \(0.0381906\pi\)
−0.392750 + 0.919645i \(0.628476\pi\)
\(524\) −1.71240e9 8.24649e8i −0.519932 0.250386i
\(525\) 5.48306e8 1.69130e8i 0.165373 0.0510110i
\(526\) −7.24227e7 + 9.66414e8i −0.0216982 + 0.289543i
\(527\) −9.06665e7 + 3.97236e8i −0.0269842 + 0.118226i
\(528\) 1.34803e8 + 3.43472e8i 0.0398548 + 0.101548i
\(529\) −5.15225e7 6.87521e8i −0.0151322 0.201925i
\(530\) −3.32655e8 5.01397e7i −0.0970575 0.0146291i
\(531\) 2.38281e9 2.21093e9i 0.690652 0.640832i
\(532\) 1.21631e9 5.85742e8i 0.350229 0.168661i
\(533\) −3.92278e9 2.67451e9i −1.12214 0.765065i
\(534\) 1.66595e9 4.24477e9i 0.473442 1.20631i
\(535\) 7.57164e9 + 2.33554e9i 2.13772 + 0.659401i
\(536\) −4.91198e9 4.55765e9i −1.37778 1.27839i
\(537\) 6.97932e8 + 8.75178e8i 0.194492 + 0.243886i
\(538\) −5.88389e9 7.37817e9i −1.62902 2.04273i
\(539\) −8.83343e8 8.19623e8i −0.242979 0.225452i
\(540\) −9.22344e9 2.84505e9i −2.52066 0.777522i
\(541\) 1.83183e9 4.66743e9i 0.497388 1.26732i −0.433214 0.901291i \(-0.642620\pi\)
0.930602 0.366033i \(-0.119284\pi\)
\(542\) 6.36215e8 + 4.33764e8i 0.171635 + 0.117019i
\(543\) −9.97445e8 + 4.80344e8i −0.267356 + 0.128752i
\(544\) 9.27979e7 8.61038e7i 0.0247139 0.0229312i
\(545\) 7.16962e9 + 1.08065e9i 1.89718 + 0.285954i
\(546\) 4.56552e7 + 6.09227e8i 0.0120037 + 0.160179i
\(547\) −1.76517e9 4.49759e9i −0.461139 1.17496i −0.952644 0.304088i \(-0.901648\pi\)
0.491505 0.870875i \(-0.336447\pi\)
\(548\) −1.15396e9 + 5.05582e9i −0.299542 + 1.31238i
\(549\) −6.27590e7 + 8.37461e8i −0.0161872 + 0.216004i
\(550\) 3.59363e9 1.10849e9i 0.921010 0.284094i
\(551\) 1.79403e9 + 8.63959e8i 0.456877 + 0.220020i
\(552\) 1.28978e9 + 2.23397e9i 0.326385 + 0.565315i
\(553\) 4.55486e8 7.88924e8i 0.114535 0.198380i
\(554\) −8.86448e9 + 6.04370e9i −2.21498 + 1.51015i
\(555\) −7.41351e8 3.24807e9i −0.184076 0.806492i
\(556\) 9.60921e8 1.44836e8i 0.237097 0.0357366i
\(557\) −6.84467e8 + 8.58295e8i −0.167826 + 0.210447i −0.858631 0.512594i \(-0.828685\pi\)
0.690805 + 0.723041i \(0.257256\pi\)
\(558\) −7.61266e9 −1.85488
\(559\) −3.66596e9 5.10671e8i −0.887661 0.123652i
\(560\) 9.18956e8 0.221124
\(561\) −3.74792e7 + 4.69975e7i −0.00896233 + 0.0112384i
\(562\) 7.20767e9 1.08638e9i 1.71284 0.258170i
\(563\) 8.83552e8 + 3.87109e9i 0.208666 + 0.914227i 0.965455 + 0.260568i \(0.0839099\pi\)
−0.756789 + 0.653659i \(0.773233\pi\)
\(564\) −1.92276e9 + 1.31092e9i −0.451283 + 0.307680i
\(565\) −1.87352e9 + 3.24504e9i −0.437008 + 0.756920i
\(566\) 9.39321e8 + 1.62695e9i 0.217749 + 0.377153i
\(567\) 2.74644e8 + 1.32261e8i 0.0632745 + 0.0304714i
\(568\) −7.46001e9 + 2.30111e9i −1.70813 + 0.526888i
\(569\) −3.58623e8 + 4.78549e9i −0.0816103 + 1.08901i 0.794616 + 0.607113i \(0.207672\pi\)
−0.876226 + 0.481901i \(0.839947\pi\)
\(570\) 1.29587e9 5.67757e9i 0.293089 1.28411i
\(571\) −2.25562e8 5.74722e8i −0.0507037 0.129191i 0.903278 0.429056i \(-0.141154\pi\)
−0.953982 + 0.299865i \(0.903058\pi\)
\(572\) 1.95087e8 + 2.60325e9i 0.0435854 + 0.581607i
\(573\) −3.12990e8 4.71756e7i −0.0695006 0.0104755i
\(574\) −1.82689e9 + 1.69510e9i −0.403200 + 0.374115i
\(575\) 6.00354e9 2.89115e9i 1.31695 0.634210i
\(576\) 3.77656e9 + 2.57482e9i 0.823413 + 0.561394i
\(577\) 1.46820e9 3.74092e9i 0.318178 0.810705i −0.678894 0.734236i \(-0.737540\pi\)
0.997072 0.0764682i \(-0.0243644\pi\)
\(578\) 7.46692e9 + 2.30324e9i 1.60840 + 0.496126i
\(579\) 2.28239e9 + 2.11774e9i 0.488668 + 0.453418i
\(580\) 4.66336e9 + 5.84767e9i 0.992433 + 1.24447i
\(581\) 5.53860e8 + 6.94518e8i 0.117161 + 0.146915i
\(582\) −3.77431e9 3.50205e9i −0.793609 0.736362i
\(583\) −5.66370e7 1.74702e7i −0.0118375 0.00365139i
\(584\) 3.27716e9 8.35007e9i 0.680852 1.73478i
\(585\) −4.40283e9 3.00180e9i −0.909257 0.619921i
\(586\) 5.68684e9 2.73864e9i 1.16743 0.562203i
\(587\) −2.47280e9 + 2.29442e9i −0.504609 + 0.468209i −0.890920 0.454159i \(-0.849940\pi\)
0.386311 + 0.922369i \(0.373749\pi\)
\(588\) −4.30234e9 6.48473e8i −0.872738 0.131544i
\(589\) −5.19714e8 6.93510e9i −0.104800 1.39846i
\(590\) 6.25043e9 + 1.59258e10i 1.25293 + 3.19242i
\(591\) −5.71360e8 + 2.50329e9i −0.113855 + 0.498833i
\(592\) 2.47514e8 3.30285e9i 0.0490314 0.654279i
\(593\) −3.08519e9 + 9.51655e8i −0.607562 + 0.187408i −0.583245 0.812296i \(-0.698217\pi\)
−0.0243168 + 0.999704i \(0.507741\pi\)
\(594\) −2.35005e9 1.13172e9i −0.460070 0.221558i
\(595\) 7.48557e7 + 1.29654e8i 0.0145685 + 0.0252334i
\(596\) −3.48086e9 + 6.02903e9i −0.673480 + 1.16650i
\(597\) −1.50683e9 + 1.02734e9i −0.289837 + 0.197607i
\(598\) 1.57871e9 + 6.91680e9i 0.301890 + 1.32267i
\(599\) −3.37553e9 + 5.08780e8i −0.641724 + 0.0967244i −0.461840 0.886963i \(-0.652811\pi\)
−0.179885 + 0.983688i \(0.557572\pi\)
\(600\) 3.94678e9 4.94911e9i 0.745957 0.935400i
\(601\) −1.21795e6 −0.000228859 −0.000114430 1.00000i \(-0.500036\pi\)
−0.000114430 1.00000i \(0.500036\pi\)
\(602\) −6.89539e8 + 1.81642e9i −0.128816 + 0.339336i
\(603\) 5.16921e9 0.960093
\(604\) 1.64530e9 2.06314e9i 0.303819 0.380977i
\(605\) −7.69042e9 + 1.15914e9i −1.41191 + 0.212811i
\(606\) 1.75867e9 + 7.70525e9i 0.321019 + 1.40648i
\(607\) −4.91513e9 + 3.35108e9i −0.892021 + 0.608169i −0.920206 0.391433i \(-0.871979\pi\)
0.0281858 + 0.999603i \(0.491027\pi\)
\(608\) −1.08035e9 + 1.87123e9i −0.194941 + 0.337648i
\(609\) 1.54194e8 + 2.67072e8i 0.0276635 + 0.0479145i
\(610\) −3.98242e9 1.91783e9i −0.710382 0.342102i
\(611\) −2.85119e9 + 8.79477e8i −0.505688 + 0.155984i
\(612\) 5.03028e7 6.71244e8i 0.00887079 0.118372i
\(613\) −5.21859e8 + 2.28641e9i −0.0915042 + 0.400906i −0.999850 0.0173135i \(-0.994489\pi\)
0.908346 + 0.418220i \(0.137346\pi\)
\(614\) 2.43533e9 + 6.20513e9i 0.424589 + 1.08184i
\(615\) 5.23789e8 + 6.98948e9i 0.0908016 + 1.21166i
\(616\) 6.31683e8 + 9.52108e7i 0.108885 + 0.0164117i
\(617\) 3.38477e9 3.14061e9i 0.580138 0.538290i −0.334588 0.942365i \(-0.608597\pi\)
0.914726 + 0.404075i \(0.132407\pi\)
\(618\) −6.71373e9 + 3.23316e9i −1.14421 + 0.551021i
\(619\) 3.36446e9 + 2.29385e9i 0.570162 + 0.388730i 0.813807 0.581135i \(-0.197391\pi\)
−0.243646 + 0.969864i \(0.578343\pi\)
\(620\) 9.54371e9 2.43170e10i 1.60822 4.09769i
\(621\) −4.41629e9 1.36225e9i −0.740010 0.228263i
\(622\) −1.14849e10 1.06564e10i −1.91364 1.77560i
\(623\) −1.24753e9 1.56435e9i −0.206701 0.259194i
\(624\) 1.06503e9 + 1.33550e9i 0.175475 + 0.220038i
\(625\) −1.89191e8 1.75543e8i −0.0309970 0.0287610i
\(626\) 1.39056e10 + 4.28930e9i 2.26558 + 0.698837i
\(627\) 3.74846e8 9.55092e8i 0.0607318 0.154742i
\(628\) −1.36841e10 9.32965e9i −2.20474 1.50316i
\(629\) 4.86156e8 2.34120e8i 0.0778929 0.0375113i
\(630\) −2.05045e9 + 1.90254e9i −0.326707 + 0.303140i
\(631\) −8.01186e9 1.20759e9i −1.26949 0.191345i −0.520465 0.853883i \(-0.674241\pi\)
−0.749028 + 0.662538i \(0.769479\pi\)
\(632\) −7.51025e8 1.00217e10i −0.118344 1.57919i
\(633\) −2.76075e8 7.03427e8i −0.0432627 0.110232i
\(634\) 3.71111e8 1.62595e9i 0.0578352 0.253392i
\(635\) 9.42968e8 1.25830e10i 0.146147 1.95019i
\(636\) −2.04497e8 + 6.30791e7i −0.0315201 + 0.00972267i
\(637\) −5.02614e9 2.42046e9i −0.770454 0.371031i
\(638\) 1.01060e9 + 1.75040e9i 0.154065 + 0.266849i
\(639\) 3.01126e9 5.21565e9i 0.456557 0.790780i
\(640\) −1.62974e10 + 1.11114e10i −2.45747 + 1.67548i
\(641\) −2.09672e9 9.18635e9i −0.314440 1.37765i −0.847150 0.531354i \(-0.821683\pi\)
0.532709 0.846298i \(-0.321174\pi\)
\(642\) 7.64493e9 1.15229e9i 1.14025 0.171865i
\(643\) −8.73133e8 + 1.09487e9i −0.129521 + 0.162415i −0.842363 0.538910i \(-0.818836\pi\)
0.712842 + 0.701325i \(0.247408\pi\)
\(644\) 2.42800e9 0.358218
\(645\) 2.78493e9 + 4.70135e9i 0.408653 + 0.689864i
\(646\) 9.43198e8 0.137654
\(647\) 3.48457e9 4.36952e9i 0.505807 0.634262i −0.461721 0.887025i \(-0.652768\pi\)
0.967528 + 0.252763i \(0.0813394\pi\)
\(648\) 3.32534e9 5.01214e8i 0.480091 0.0723621i
\(649\) 6.70728e8 + 2.93865e9i 0.0963142 + 0.421980i
\(650\) 1.43849e10 9.80743e9i 2.05451 1.40074i
\(651\) 5.38538e8 9.32775e8i 0.0765037 0.132508i
\(652\) −4.37890e9 7.58447e9i −0.618726 1.07166i
\(653\) 3.70482e9 + 1.78415e9i 0.520680 + 0.250746i 0.675715 0.737163i \(-0.263835\pi\)
−0.155036 + 0.987909i \(0.549549\pi\)
\(654\) 6.76026e9 2.08526e9i 0.945020 0.291500i
\(655\) −2.68848e8 + 3.58752e9i −0.0373819 + 0.498827i
\(656\) −1.55054e9 + 6.79338e9i −0.214447 + 0.939555i
\(657\) 2.52814e9 + 6.44158e9i 0.347794 + 0.886164i
\(658\) 1.17043e8 + 1.56184e9i 0.0160161 + 0.213720i
\(659\) 1.81129e9 + 2.73008e8i 0.246541 + 0.0371601i 0.271150 0.962537i \(-0.412596\pi\)
−0.0246092 + 0.999697i \(0.507834\pi\)
\(660\) 2.82513e9 2.62134e9i 0.382503 0.354911i
\(661\) 6.43127e9 3.09713e9i 0.866146 0.417114i 0.0526011 0.998616i \(-0.483249\pi\)
0.813545 + 0.581501i \(0.197535\pi\)
\(662\) 1.12153e10 + 7.64647e9i 1.50248 + 1.02437i
\(663\) −1.01669e8 + 2.59049e8i −0.0135485 + 0.0345211i
\(664\) 9.36459e9 + 2.88859e9i 1.24137 + 0.382911i
\(665\) −1.87319e9 1.73807e9i −0.247006 0.229188i
\(666\) 6.28572e9 + 7.88205e9i 0.824509 + 1.03390i
\(667\) 2.23287e9 + 2.79993e9i 0.291356 + 0.365349i
\(668\) −1.83991e10 1.70719e10i −2.38824 2.21597i
\(669\) −1.08761e9 3.35482e8i −0.140437 0.0433189i
\(670\) −9.93982e9 + 2.53262e10i −1.27678 + 3.25319i
\(671\) −6.43438e8 4.38688e8i −0.0822200 0.0560567i
\(672\) −3.01497e8 + 1.45193e8i −0.0383258 + 0.0184567i
\(673\) −9.39799e9 + 8.72006e9i −1.18845 + 1.10272i −0.195936 + 0.980617i \(0.562775\pi\)
−0.992517 + 0.122107i \(0.961035\pi\)
\(674\) 7.69082e9 + 1.15920e9i 0.967526 + 0.145831i
\(675\) 8.47533e8 + 1.13095e10i 0.106070 + 1.41541i
\(676\) −1.08162e9 2.75593e9i −0.134667 0.343127i
\(677\) 2.44320e9 1.07044e10i 0.302621 1.32587i −0.563533 0.826093i \(-0.690558\pi\)
0.866154 0.499777i \(-0.166585\pi\)
\(678\) −2.73218e8 + 3.64584e9i −0.0336671 + 0.449256i
\(679\) −2.15886e9 + 6.65919e8i −0.264655 + 0.0816352i
\(680\) 1.48806e9 + 7.16610e8i 0.181484 + 0.0873980i
\(681\) 8.69486e8 + 1.50599e9i 0.105499 + 0.182729i
\(682\) 3.52961e9 6.11346e9i 0.426070 0.737975i
\(683\) −3.05260e9 + 2.08123e9i −0.366605 + 0.249947i −0.732585 0.680676i \(-0.761686\pi\)
0.365980 + 0.930623i \(0.380734\pi\)
\(684\) 2.55659e9 + 1.12011e10i 0.305467 + 1.33834i
\(685\) 9.70635e9 1.46300e9i 1.15382 0.173911i
\(686\) −3.73925e9 + 4.68887e9i −0.442232 + 0.554541i
\(687\) 3.18043e9 0.374229
\(688\) 1.26799e9 + 5.28228e9i 0.148442 + 0.618389i
\(689\) −2.74389e8 −0.0319595
\(690\) 6.53032e9 8.18876e9i 0.756768 0.948957i
\(691\) −5.31303e9 + 8.00811e8i −0.612589 + 0.0923329i −0.448006 0.894030i \(-0.647866\pi\)
−0.164583 + 0.986363i \(0.552628\pi\)
\(692\) 3.35315e9 + 1.46911e10i 0.384664 + 1.68533i
\(693\) −4.07179e8 + 2.77610e8i −0.0464749 + 0.0316861i
\(694\) 6.80032e9 1.17785e10i 0.772273 1.33762i
\(695\) −9.19710e8 1.59298e9i −0.103921 0.179997i
\(696\) 3.06522e9 + 1.47613e9i 0.344611 + 0.165956i
\(697\) −1.08477e9 + 3.34607e8i −0.121345 + 0.0374300i
\(698\) 7.98267e8 1.06521e10i 0.0888493 1.18561i
\(699\) 1.27469e9 5.58478e9i 0.141167 0.618495i
\(700\) −2.17677e9 5.54633e9i −0.239867 0.611171i
\(701\) −3.41909e8 4.56246e9i −0.0374885 0.500249i −0.984070 0.177783i \(-0.943107\pi\)
0.946581 0.322466i \(-0.104512\pi\)
\(702\) −1.19404e10 1.79972e9i −1.30268 0.196348i
\(703\) −6.75139e9 + 6.26437e9i −0.732908 + 0.680039i
\(704\) −3.81875e9 + 1.83901e9i −0.412493 + 0.198646i
\(705\) 3.63949e9 + 2.48137e9i 0.391182 + 0.266704i
\(706\) 7.03539e9 1.79259e10i 0.752440 1.91719i
\(707\) 3.31387e9 + 1.02219e9i 0.352669 + 0.108784i
\(708\) 7.97807e9 + 7.40257e9i 0.844854 + 0.783910i
\(709\) 3.33401e9 + 4.18072e9i 0.351322 + 0.440544i 0.925821 0.377961i \(-0.123375\pi\)
−0.574500 + 0.818505i \(0.694803\pi\)
\(710\) 1.97635e10 + 2.47826e10i 2.07233 + 2.59862i
\(711\) 5.68324e9 + 5.27328e9i 0.592997 + 0.550221i
\(712\) −2.10930e10 6.50633e9i −2.19007 0.675548i
\(713\) 4.56964e9 1.16433e10i 0.472138 1.20299i
\(714\) 1.20694e8 + 8.22878e7i 0.0124091 + 0.00846041i
\(715\) 4.45201e9 2.14398e9i 0.455497 0.219356i
\(716\) 8.52067e9 7.90602e9i 0.867517 0.804938i
\(717\) −2.56541e9 3.86674e8i −0.259920 0.0391767i
\(718\) 5.10988e8 + 6.81867e9i 0.0515200 + 0.687486i
\(719\) −3.60983e9 9.19770e9i −0.362189 0.922843i −0.989560 0.144122i \(-0.953964\pi\)
0.627371 0.778721i \(-0.284131\pi\)
\(720\) −1.74029e9 + 7.62472e9i −0.173763 + 0.761308i
\(721\) −2.44347e8 + 3.26059e9i −0.0242792 + 0.323983i
\(722\) 9.97124e8 3.07572e8i 0.0985982 0.0304135i
\(723\) −5.26073e9 2.53343e9i −0.517681 0.249302i
\(724\) 5.74784e9 + 9.95555e9i 0.562885 + 0.974945i
\(725\) 4.39412e9 7.61084e9i 0.428242 0.741736i
\(726\) −6.26988e9 + 4.27473e9i −0.608108 + 0.414601i
\(727\) 4.38262e8 + 1.92015e9i 0.0423022 + 0.185338i 0.991665 0.128844i \(-0.0411267\pi\)
−0.949363 + 0.314183i \(0.898270\pi\)
\(728\) 2.92435e9 4.40774e8i 0.280911 0.0423405i
\(729\) 1.17516e9 1.47361e9i 0.112344 0.140875i
\(730\) −3.64215e10 −3.46520
\(731\) −6.41980e8 + 6.09179e8i −0.0607870 + 0.0576812i
\(732\) −2.81182e9 −0.264972
\(733\) 6.53838e9 8.19887e9i 0.613206 0.768936i −0.374165 0.927362i \(-0.622071\pi\)
0.987371 + 0.158426i \(0.0506421\pi\)
\(734\) 2.76696e10 4.17052e9i 2.58266 0.389273i
\(735\) 1.83260e9 + 8.02915e9i 0.170240 + 0.745872i
\(736\) −3.21083e9 + 2.18910e9i −0.296855 + 0.202392i
\(737\) −2.39670e9 + 4.15121e9i −0.220535 + 0.381978i
\(738\) −1.06048e10 1.83681e10i −0.971195 1.68216i
\(739\) −1.01420e10 4.88415e9i −0.924421 0.445178i −0.0897734 0.995962i \(-0.528614\pi\)
−0.834647 + 0.550785i \(0.814329\pi\)
\(740\) −3.30577e10 + 1.01969e10i −2.99889 + 0.925036i
\(741\) 3.54960e8 4.73662e9i 0.0320491 0.427666i
\(742\) −3.20499e7 + 1.40420e8i −0.00288013 + 0.0126187i
\(743\) −3.05256e9 7.77781e9i −0.273026 0.695659i −0.999960 0.00895151i \(-0.997151\pi\)
0.726934 0.686707i \(-0.240945\pi\)
\(744\) −8.87965e8 1.18491e10i −0.0790479 1.05482i
\(745\) 1.30303e10 + 1.96400e9i 1.15453 + 0.174018i
\(746\) −7.04016e9 + 6.53231e9i −0.620864 + 0.576078i
\(747\) −6.81141e9 + 3.28020e9i −0.597881 + 0.287924i
\(748\) 5.15730e8 + 3.51619e8i 0.0450575 + 0.0307197i
\(749\) 1.23939e9 3.15791e9i 0.107776 0.274608i
\(750\) −9.55517e9 2.94738e9i −0.827035 0.255106i
\(751\) −1.79395e9 1.66454e9i −0.154551 0.143402i 0.599108 0.800669i \(-0.295522\pi\)
−0.753658 + 0.657266i \(0.771713\pi\)
\(752\) 2.73034e9 + 3.42374e9i 0.234129 + 0.293588i