Properties

Label 43.8.g.a.9.16
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 9.16
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.16

$q$-expansion

\(f(q)\) \(=\) \(q+(3.34377 + 4.19295i) q^{2} +(-17.0374 - 2.56798i) q^{3} +(22.0826 - 96.7502i) q^{4} +(150.846 + 102.845i) q^{5} +(-46.2018 - 80.0239i) q^{6} +(-185.160 + 320.707i) q^{7} +(1097.99 - 528.764i) q^{8} +(-1806.16 - 557.126i) q^{9} +O(q^{10})\) \(q+(3.34377 + 4.19295i) q^{2} +(-17.0374 - 2.56798i) q^{3} +(22.0826 - 96.7502i) q^{4} +(150.846 + 102.845i) q^{5} +(-46.2018 - 80.0239i) q^{6} +(-185.160 + 320.707i) q^{7} +(1097.99 - 528.764i) q^{8} +(-1806.16 - 557.126i) q^{9} +(73.1696 + 976.380i) q^{10} +(-308.923 - 1353.48i) q^{11} +(-624.684 + 1591.67i) q^{12} +(1096.63 - 14633.5i) q^{13} +(-1963.84 + 296.002i) q^{14} +(-2305.92 - 2139.59i) q^{15} +(-5556.06 - 2675.66i) q^{16} +(13951.1 - 9511.70i) q^{17} +(-3703.37 - 9436.04i) q^{18} +(44497.6 - 13725.7i) q^{19} +(13281.4 - 12323.3i) q^{20} +(3978.23 - 4988.54i) q^{21} +(4642.12 - 5821.03i) q^{22} +(-32582.1 + 30231.8i) q^{23} +(-20064.8 + 6189.17i) q^{24} +(-16364.9 - 41697.0i) q^{25} +(65024.6 - 44333.0i) q^{26} +(63291.7 + 30479.7i) q^{27} +(26939.7 + 24996.4i) q^{28} +(-121439. + 18304.0i) q^{29} +(1260.70 - 16822.9i) q^{30} +(64359.4 - 163985. i) q^{31} +(-42070.4 - 184323. i) q^{32} +(1787.55 + 23853.2i) q^{33} +(86531.3 + 26691.4i) q^{34} +(-60913.8 + 29334.5i) q^{35} +(-93786.8 + 162443. i) q^{36} +(-180369. - 312409. i) q^{37} +(206341. + 140681. i) q^{38} +(-56262.4 + 246502. i) q^{39} +(220008. + 33160.9i) q^{40} +(244787. + 306953. i) q^{41} +34219.0 q^{42} +(-471339. + 222842. i) q^{43} -137771. q^{44} +(-215154. - 269795. i) q^{45} +(-235708. - 35527.2i) q^{46} +(-33165.7 + 145308. i) q^{47} +(87790.0 + 59854.2i) q^{48} +(343203. + 594445. i) q^{49} +(120113. - 208042. i) q^{50} +(-262117. + 126229. i) q^{51} +(-1.39158e6 - 429246. i) q^{52} +(145810. + 1.94570e6i) q^{53} +(83833.0 + 367296. i) q^{54} +(92599.0 - 235938. i) q^{55} +(-33725.8 + 450039. i) q^{56} +(-793372. + 119582. i) q^{57} +(-482811. - 447983. i) q^{58} +(2.63863e6 + 1.27070e6i) q^{59} +(-257926. + 175851. i) q^{60} +(102330. + 260732. i) q^{61} +(902785. - 278472. i) q^{62} +(513103. - 476090. i) q^{63} +(140034. - 175597. i) q^{64} +(1.67041e6 - 2.09463e6i) q^{65} +(-94038.1 + 87254.6i) q^{66} +(424196. - 130847. i) q^{67} +(-612182. - 1.55982e6i) q^{68} +(632751. - 431402. i) q^{69} +(-326680. - 157321. i) q^{70} +(-3.89253e6 - 3.61174e6i) q^{71} +(-2.27773e6 + 343313. i) q^{72} +(-269132. + 3.59132e6i) q^{73} +(706802. - 1.80090e6i) q^{74} +(171738. + 752435. i) q^{75} +(-345341. - 4.60825e6i) q^{76} +(491271. + 151537. i) q^{77} +(-1.22170e6 + 588339. i) q^{78} +(3.96275e6 - 6.86369e6i) q^{79} +(-562931. - 975025. i) q^{80} +(2.41538e6 + 1.64678e6i) q^{81} +(-468528. + 2.05276e6i) q^{82} +(2.62978e6 + 396376. i) q^{83} +(-394793. - 495055. i) q^{84} +3.08270e6 q^{85} +(-2.51041e6 - 1.23117e6i) q^{86} +2.11601e6 q^{87} +(-1.05487e6 - 1.32276e6i) q^{88} +(-7.71054e6 - 1.16218e6i) q^{89} +(411811. - 1.80426e6i) q^{90} +(4.49002e6 + 3.06125e6i) q^{91} +(2.20544e6 + 3.81993e6i) q^{92} +(-1.51763e6 + 2.62861e6i) q^{93} +(-720170. + 346816. i) q^{94} +(8.12390e6 + 2.50589e6i) q^{95} +(243436. + 3.24842e6i) q^{96} +(-942959. - 4.13137e6i) q^{97} +(-1.34489e6 + 3.42672e6i) q^{98} +(-196095. + 2.61671e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.34377 + 4.19295i 0.295550 + 0.370608i 0.907329 0.420420i \(-0.138117\pi\)
−0.611779 + 0.791029i \(0.709546\pi\)
\(3\) −17.0374 2.56798i −0.364317 0.0549120i −0.0356672 0.999364i \(-0.511356\pi\)
−0.328650 + 0.944452i \(0.606594\pi\)
\(4\) 22.0826 96.7502i 0.172520 0.755861i
\(5\) 150.846 + 102.845i 0.539683 + 0.367950i 0.802272 0.596958i \(-0.203624\pi\)
−0.262590 + 0.964908i \(0.584577\pi\)
\(6\) −46.2018 80.0239i −0.0873232 0.151248i
\(7\) −185.160 + 320.707i −0.204035 + 0.353399i −0.949825 0.312782i \(-0.898739\pi\)
0.745790 + 0.666181i \(0.232072\pi\)
\(8\) 1097.99 528.764i 0.758199 0.365129i
\(9\) −1806.16 557.126i −0.825861 0.254744i
\(10\) 73.1696 + 976.380i 0.0231382 + 0.308758i
\(11\) −308.923 1353.48i −0.0699804 0.306604i 0.927809 0.373055i \(-0.121690\pi\)
−0.997790 + 0.0664507i \(0.978832\pi\)
\(12\) −624.684 + 1591.67i −0.104358 + 0.265900i
\(13\) 1096.63 14633.5i 0.138439 1.84734i −0.306609 0.951835i \(-0.599195\pi\)
0.445049 0.895506i \(-0.353186\pi\)
\(14\) −1963.84 + 296.002i −0.191275 + 0.0288301i
\(15\) −2305.92 2139.59i −0.176411 0.163686i
\(16\) −5556.06 2675.66i −0.339115 0.163309i
\(17\) 13951.1 9511.70i 0.688711 0.469555i −0.167708 0.985837i \(-0.553637\pi\)
0.856419 + 0.516281i \(0.172684\pi\)
\(18\) −3703.37 9436.04i −0.149673 0.381361i
\(19\) 44497.6 13725.7i 1.48833 0.459089i 0.559259 0.828993i \(-0.311086\pi\)
0.929070 + 0.369905i \(0.120610\pi\)
\(20\) 13281.4 12323.3i 0.371225 0.344447i
\(21\) 3978.23 4988.54i 0.0937394 0.117545i
\(22\) 4642.12 5821.03i 0.0929473 0.116552i
\(23\) −32582.1 + 30231.8i −0.558383 + 0.518104i −0.908101 0.418751i \(-0.862468\pi\)
0.349718 + 0.936855i \(0.386277\pi\)
\(24\) −20064.8 + 6189.17i −0.296275 + 0.0913888i
\(25\) −16364.9 41697.0i −0.209470 0.533722i
\(26\) 65024.6 44333.0i 0.725556 0.494676i
\(27\) 63291.7 + 30479.7i 0.618833 + 0.298014i
\(28\) 26939.7 + 24996.4i 0.231920 + 0.215191i
\(29\) −121439. + 18304.0i −0.924622 + 0.139364i −0.594061 0.804420i \(-0.702476\pi\)
−0.330562 + 0.943784i \(0.607238\pi\)
\(30\) 1260.70 16822.9i 0.00852488 0.113757i
\(31\) 64359.4 163985.i 0.388013 0.988641i −0.594773 0.803894i \(-0.702758\pi\)
0.982786 0.184747i \(-0.0591467\pi\)
\(32\) −42070.4 184323.i −0.226962 0.994383i
\(33\) 1787.55 + 23853.2i 0.00865882 + 0.115544i
\(34\) 86531.3 + 26691.4i 0.377570 + 0.116465i
\(35\) −60913.8 + 29334.5i −0.240147 + 0.115649i
\(36\) −93786.8 + 162443.i −0.335029 + 0.580288i
\(37\) −180369. 312409.i −0.585405 1.01395i −0.994825 0.101605i \(-0.967602\pi\)
0.409420 0.912346i \(-0.365731\pi\)
\(38\) 206341. + 140681.i 0.610018 + 0.415903i
\(39\) −56262.4 + 246502.i −0.151877 + 0.665417i
\(40\) 220008. + 33160.9i 0.543536 + 0.0819249i
\(41\) 244787. + 306953.i 0.554682 + 0.695549i 0.977565 0.210635i \(-0.0675532\pi\)
−0.422883 + 0.906184i \(0.638982\pi\)
\(42\) 34219.0 0.0712680
\(43\) −471339. + 222842.i −0.904052 + 0.427422i
\(44\) −137771. −0.243823
\(45\) −215154. 269795.i −0.351970 0.441356i
\(46\) −235708. 35527.2i −0.357044 0.0538157i
\(47\) −33165.7 + 145308.i −0.0465958 + 0.204150i −0.992867 0.119223i \(-0.961960\pi\)
0.946272 + 0.323373i \(0.104817\pi\)
\(48\) 87790.0 + 59854.2i 0.114578 + 0.0781179i
\(49\) 343203. + 594445.i 0.416739 + 0.721814i
\(50\) 120113. 208042.i 0.135893 0.235373i
\(51\) −262117. + 126229.i −0.276694 + 0.133249i
\(52\) −1.39158e6 429246.i −1.37245 0.423345i
\(53\) 145810. + 1.94570e6i 0.134531 + 1.79519i 0.501705 + 0.865039i \(0.332706\pi\)
−0.367174 + 0.930152i \(0.619675\pi\)
\(54\) 83833.0 + 367296.i 0.0724497 + 0.317423i
\(55\) 92599.0 235938.i 0.0750476 0.191218i
\(56\) −33725.8 + 450039.i −0.0256628 + 0.342446i
\(57\) −793372. + 119582.i −0.567433 + 0.0855268i
\(58\) −482811. 447983.i −0.324922 0.301483i
\(59\) 2.63863e6 + 1.27070e6i 1.67262 + 0.805490i 0.997714 + 0.0675852i \(0.0215295\pi\)
0.674904 + 0.737905i \(0.264185\pi\)
\(60\) −257926. + 175851.i −0.154158 + 0.105103i
\(61\) 102330. + 260732.i 0.0577227 + 0.147075i 0.956826 0.290662i \(-0.0938754\pi\)
−0.899103 + 0.437737i \(0.855780\pi\)
\(62\) 902785. 278472.i 0.481076 0.148392i
\(63\) 513103. 476090.i 0.258531 0.239882i
\(64\) 140034. 175597.i 0.0667733 0.0837310i
\(65\) 1.67041e6 2.09463e6i 0.754442 0.946040i
\(66\) −94038.1 + 87254.6i −0.0402624 + 0.0373581i
\(67\) 424196. 130847.i 0.172308 0.0531499i −0.207401 0.978256i \(-0.566500\pi\)
0.379709 + 0.925106i \(0.376024\pi\)
\(68\) −612182. 1.55982e6i −0.236102 0.601578i
\(69\) 632751. 431402.i 0.231879 0.158092i
\(70\) −326680. 157321.i −0.113836 0.0548205i
\(71\) −3.89253e6 3.61174e6i −1.29071 1.19760i −0.967957 0.251115i \(-0.919203\pi\)
−0.322749 0.946485i \(-0.604607\pi\)
\(72\) −2.27773e6 + 343313.i −0.719182 + 0.108399i
\(73\) −269132. + 3.59132e6i −0.0809722 + 1.08050i 0.797694 + 0.603062i \(0.206053\pi\)
−0.878666 + 0.477437i \(0.841566\pi\)
\(74\) 706802. 1.80090e6i 0.202762 0.516629i
\(75\) 171738. + 752435.i 0.0470059 + 0.205947i
\(76\) −345341. 4.60825e6i −0.0902402 1.20417i
\(77\) 491271. + 151537.i 0.122632 + 0.0378270i
\(78\) −1.22170e6 + 588339.i −0.291496 + 0.140377i
\(79\) 3.96275e6 6.86369e6i 0.904279 1.56626i 0.0823958 0.996600i \(-0.473743\pi\)
0.821883 0.569657i \(-0.192924\pi\)
\(80\) −562931. 975025.i −0.122925 0.212912i
\(81\) 2.41538e6 + 1.64678e6i 0.504996 + 0.344300i
\(82\) −468528. + 2.05276e6i −0.0938399 + 0.411139i
\(83\) 2.62978e6 + 396376.i 0.504831 + 0.0760911i 0.396520 0.918026i \(-0.370218\pi\)
0.108311 + 0.994117i \(0.465456\pi\)
\(84\) −394793. 495055.i −0.0726761 0.0911330i
\(85\) 3.08270e6 0.544458
\(86\) −2.51041e6 1.23117e6i −0.425599 0.208725i
\(87\) 2.11601e6 0.344509
\(88\) −1.05487e6 1.32276e6i −0.165009 0.206915i
\(89\) −7.71054e6 1.16218e6i −1.15936 0.174746i −0.458936 0.888469i \(-0.651769\pi\)
−0.700428 + 0.713723i \(0.747007\pi\)
\(90\) 411811. 1.80426e6i 0.0595455 0.260886i
\(91\) 4.49002e6 + 3.06125e6i 0.624603 + 0.425847i
\(92\) 2.20544e6 + 3.81993e6i 0.295282 + 0.511443i
\(93\) −1.51763e6 + 2.62861e6i −0.195648 + 0.338873i
\(94\) −720170. + 346816.i −0.0894309 + 0.0430677i
\(95\) 8.12390e6 + 2.50589e6i 0.972147 + 0.299868i
\(96\) 243436. + 3.24842e6i 0.0280824 + 0.374734i
\(97\) −942959. 4.13137e6i −0.104904 0.459614i −0.999908 0.0135564i \(-0.995685\pi\)
0.895004 0.446058i \(-0.147172\pi\)
\(98\) −1.34489e6 + 3.42672e6i −0.144343 + 0.367779i
\(99\) −196095. + 2.61671e6i −0.0203116 + 0.271039i
\(100\) −4.39557e6 + 662526.i −0.439557 + 0.0662526i
\(101\) 3.83888e6 + 3.56196e6i 0.370748 + 0.344004i 0.843440 0.537224i \(-0.180527\pi\)
−0.472691 + 0.881228i \(0.656717\pi\)
\(102\) −1.40573e6 676964.i −0.131160 0.0631633i
\(103\) 3.31162e6 2.25782e6i 0.298614 0.203592i −0.404739 0.914432i \(-0.632638\pi\)
0.703353 + 0.710841i \(0.251685\pi\)
\(104\) −6.53359e6 1.66473e7i −0.569555 1.45120i
\(105\) 1.11315e6 343360.i 0.0938404 0.0289459i
\(106\) −7.67068e6 + 7.11735e6i −0.625552 + 0.580427i
\(107\) −2.27719e6 + 2.85550e6i −0.179703 + 0.225340i −0.863522 0.504311i \(-0.831746\pi\)
0.683819 + 0.729652i \(0.260318\pi\)
\(108\) 4.34656e6 5.45042e6i 0.332019 0.416339i
\(109\) −1.50521e7 + 1.39663e7i −1.11328 + 1.03297i −0.114060 + 0.993474i \(0.536386\pi\)
−0.999220 + 0.0394992i \(0.987424\pi\)
\(110\) 1.29891e6 400660.i 0.0930474 0.0287013i
\(111\) 2.27077e6 + 5.78583e6i 0.157595 + 0.401546i
\(112\) 1.88686e6 1.28644e6i 0.126905 0.0865221i
\(113\) 1.18278e7 + 5.69596e6i 0.771132 + 0.371358i 0.777712 0.628621i \(-0.216380\pi\)
−0.00657988 + 0.999978i \(0.502094\pi\)
\(114\) −3.15425e6 2.92672e6i −0.199402 0.185018i
\(115\) −8.02407e6 + 1.20943e6i −0.491986 + 0.0741549i
\(116\) −910774. + 1.21534e7i −0.0541761 + 0.722930i
\(117\) −1.01334e7 + 2.58195e7i −0.584931 + 1.49038i
\(118\) 3.49500e6 + 1.53126e7i 0.195821 + 0.857949i
\(119\) 467279. + 6.23541e6i 0.0254192 + 0.339196i
\(120\) −3.66322e6 1.12995e6i −0.193521 0.0596934i
\(121\) 1.58209e7 7.61892e6i 0.811860 0.390971i
\(122\) −751069. + 1.30089e6i −0.0374473 + 0.0648606i
\(123\) −3.38229e6 5.85830e6i −0.163886 0.283859i
\(124\) −1.44444e7 9.84801e6i −0.680335 0.463845i
\(125\) 4.99362e6 2.18785e7i 0.228681 1.00192i
\(126\) 3.71192e6 + 559482.i 0.165311 + 0.0249166i
\(127\) −1.45623e6 1.82606e6i −0.0630837 0.0791044i 0.749289 0.662244i \(-0.230396\pi\)
−0.812372 + 0.583139i \(0.801824\pi\)
\(128\) −2.29955e7 −0.969190
\(129\) 8.60266e6 2.58626e6i 0.352833 0.106074i
\(130\) 1.43681e7 0.573586
\(131\) −1.71576e7 2.15149e7i −0.666817 0.836162i 0.327249 0.944938i \(-0.393878\pi\)
−0.994066 + 0.108776i \(0.965307\pi\)
\(132\) 2.34727e6 + 353795.i 0.0888290 + 0.0133888i
\(133\) −3.83726e6 + 1.68121e7i −0.141430 + 0.619644i
\(134\) 1.96705e6 + 1.34111e6i 0.0706233 + 0.0481502i
\(135\) 6.41261e6 + 1.11070e7i 0.224319 + 0.388533i
\(136\) 1.02887e7 1.78206e7i 0.350732 0.607485i
\(137\) 4.58198e7 2.20657e7i 1.52241 0.733154i 0.529092 0.848565i \(-0.322533\pi\)
0.993318 + 0.115411i \(0.0368184\pi\)
\(138\) 3.92462e6 + 1.21059e6i 0.127122 + 0.0392120i
\(139\) 401006. + 5.35105e6i 0.0126648 + 0.169000i 0.999950 + 0.0100388i \(0.00319550\pi\)
−0.987285 + 0.158961i \(0.949185\pi\)
\(140\) 1.49299e6 + 6.54121e6i 0.0459842 + 0.201470i
\(141\) 938208. 2.39052e6i 0.0281859 0.0718166i
\(142\) 2.12814e6 2.83980e7i 0.0623720 0.832297i
\(143\) −2.01450e7 + 3.03637e6i −0.576090 + 0.0868317i
\(144\) 8.54444e6 + 7.92808e6i 0.238460 + 0.221258i
\(145\) −2.02010e7 9.72830e6i −0.550282 0.265002i
\(146\) −1.59582e7 + 1.08801e7i −0.424373 + 0.289333i
\(147\) −4.32077e6 1.10092e7i −0.112189 0.285853i
\(148\) −3.42086e7 + 1.05520e7i −0.867401 + 0.267558i
\(149\) 1.31881e6 1.22368e6i 0.0326612 0.0303051i −0.663673 0.748023i \(-0.731003\pi\)
0.696335 + 0.717717i \(0.254813\pi\)
\(150\) −2.58067e6 + 3.23606e6i −0.0624329 + 0.0782883i
\(151\) −1.01109e6 + 1.26786e6i −0.0238984 + 0.0299677i −0.793637 0.608391i \(-0.791815\pi\)
0.769739 + 0.638359i \(0.220387\pi\)
\(152\) 4.16002e7 3.85994e7i 0.960823 0.891513i
\(153\) −3.04971e7 + 9.40711e6i −0.688396 + 0.212342i
\(154\) 1.00731e6 + 2.56658e6i 0.0222249 + 0.0566282i
\(155\) 2.65734e7 1.81175e7i 0.573174 0.390783i
\(156\) 2.26067e7 + 1.08868e7i 0.476761 + 0.229596i
\(157\) −5.94036e6 5.51185e6i −0.122508 0.113671i 0.616540 0.787324i \(-0.288534\pi\)
−0.739048 + 0.673653i \(0.764724\pi\)
\(158\) 4.20297e7 6.33495e6i 0.847727 0.127774i
\(159\) 2.51229e6 3.35242e7i 0.0495656 0.661407i
\(160\) 1.26105e7 3.21311e7i 0.243396 0.620162i
\(161\) −3.66263e6 1.60471e7i −0.0691677 0.303043i
\(162\) 1.17161e6 + 1.56340e7i 0.0216511 + 0.288914i
\(163\) 7.33629e7 + 2.26295e7i 1.32684 + 0.409277i 0.875563 0.483105i \(-0.160491\pi\)
0.451281 + 0.892382i \(0.350967\pi\)
\(164\) 3.51033e7 1.69048e7i 0.621433 0.299266i
\(165\) −2.18354e6 + 3.78199e6i −0.0378413 + 0.0655431i
\(166\) 7.13139e6 + 1.23519e7i 0.121003 + 0.209583i
\(167\) 4.14856e7 + 2.82844e7i 0.689270 + 0.469936i 0.856611 0.515963i \(-0.172566\pi\)
−0.167341 + 0.985899i \(0.553518\pi\)
\(168\) 1.73029e6 7.58091e6i 0.0281538 0.123350i
\(169\) −1.50890e8 2.27430e7i −2.40468 0.362447i
\(170\) 1.03078e7 + 1.29256e7i 0.160915 + 0.201781i
\(171\) −8.80166e7 −1.34610
\(172\) 1.11516e7 + 5.05231e7i 0.167104 + 0.757077i
\(173\) 9.20010e6 0.135093 0.0675463 0.997716i \(-0.478483\pi\)
0.0675463 + 0.997716i \(0.478483\pi\)
\(174\) 7.07545e6 + 8.87233e6i 0.101820 + 0.127678i
\(175\) 1.64026e7 + 2.47230e6i 0.231356 + 0.0348713i
\(176\) −1.90506e6 + 8.34660e6i −0.0263399 + 0.115402i
\(177\) −4.16924e7 2.84254e7i −0.565133 0.385301i
\(178\) −2.09093e7 3.62160e7i −0.277888 0.481316i
\(179\) 2.79080e7 4.83380e7i 0.363699 0.629946i −0.624867 0.780731i \(-0.714847\pi\)
0.988567 + 0.150785i \(0.0481802\pi\)
\(180\) −3.08538e7 + 1.48584e7i −0.394326 + 0.189897i
\(181\) 6.61513e7 + 2.04050e7i 0.829208 + 0.255777i 0.680170 0.733055i \(-0.261906\pi\)
0.149038 + 0.988831i \(0.452382\pi\)
\(182\) 2.17794e6 + 2.90626e7i 0.0267791 + 0.357342i
\(183\) −1.07388e6 4.70498e6i −0.0129532 0.0567517i
\(184\) −1.97894e7 + 5.04225e7i −0.234191 + 0.596708i
\(185\) 4.92171e6 6.56757e7i 0.0571498 0.762612i
\(186\) −1.60963e7 + 2.42612e6i −0.183413 + 0.0276450i
\(187\) −1.71837e7 1.59442e7i −0.192164 0.178302i
\(188\) 1.33262e7 + 6.41758e6i 0.146270 + 0.0704399i
\(189\) −2.14942e7 + 1.46545e7i −0.231582 + 0.157890i
\(190\) 1.66574e7 + 4.24422e7i 0.176185 + 0.448911i
\(191\) −3.02178e7 + 9.32096e6i −0.313795 + 0.0967930i −0.447652 0.894208i \(-0.647740\pi\)
0.133857 + 0.991001i \(0.457264\pi\)
\(192\) −2.83674e6 + 2.63211e6i −0.0289245 + 0.0268380i
\(193\) −1.08470e8 + 1.36017e8i −1.08607 + 1.36189i −0.158881 + 0.987298i \(0.550789\pi\)
−0.927190 + 0.374592i \(0.877783\pi\)
\(194\) 1.41696e7 1.77681e7i 0.139332 0.174717i
\(195\) −3.38384e7 + 3.13975e7i −0.326805 + 0.303231i
\(196\) 6.50915e7 2.00781e7i 0.617487 0.190470i
\(197\) 8.00911e6 + 2.04069e7i 0.0746367 + 0.190171i 0.963323 0.268344i \(-0.0864765\pi\)
−0.888686 + 0.458516i \(0.848381\pi\)
\(198\) −1.16274e7 + 7.92745e6i −0.106453 + 0.0725781i
\(199\) −1.76518e7 8.50064e6i −0.158782 0.0764655i 0.352805 0.935697i \(-0.385228\pi\)
−0.511587 + 0.859231i \(0.670942\pi\)
\(200\) −4.00163e7 3.71297e7i −0.353698 0.328183i
\(201\) −7.56322e6 + 1.13997e6i −0.0656933 + 0.00990166i
\(202\) −2.09880e6 + 2.80066e7i −0.0179160 + 0.239073i
\(203\) 1.66154e7 4.23355e7i 0.139404 0.355196i
\(204\) 6.42444e6 + 2.81473e7i 0.0529822 + 0.232130i
\(205\) 5.35651e6 + 7.14777e7i 0.0434254 + 0.579471i
\(206\) 2.05402e7 + 6.33583e6i 0.163708 + 0.0504973i
\(207\) 7.56914e7 3.64511e7i 0.593131 0.285637i
\(208\) −4.52473e7 + 7.83705e7i −0.348635 + 0.603853i
\(209\) −3.23238e7 5.59865e7i −0.244912 0.424200i
\(210\) 5.16180e6 + 3.51925e6i 0.0384621 + 0.0262230i
\(211\) −3.40278e7 + 1.49085e8i −0.249370 + 1.09256i 0.682818 + 0.730589i \(0.260754\pi\)
−0.932188 + 0.361974i \(0.882103\pi\)
\(212\) 1.91467e8 + 2.88590e7i 1.38012 + 0.208020i
\(213\) 5.70438e7 + 7.15307e7i 0.404464 + 0.507182i
\(214\) −1.95874e7 −0.136624
\(215\) −9.40177e7 1.48601e7i −0.645171 0.101974i
\(216\) 8.56102e7 0.578013
\(217\) 4.06744e7 + 5.10041e7i 0.270217 + 0.338841i
\(218\) −1.08891e8 1.64127e7i −0.711858 0.107295i
\(219\) 1.38078e7 6.04958e7i 0.0888320 0.389198i
\(220\) −2.07823e7 1.41691e7i −0.131587 0.0897146i
\(221\) −1.23890e8 2.14585e8i −0.772085 1.33729i
\(222\) −1.66668e7 + 2.88677e7i −0.102239 + 0.177083i
\(223\) 3.35115e7 1.61383e7i 0.202361 0.0974519i −0.329959 0.943995i \(-0.607035\pi\)
0.532319 + 0.846544i \(0.321321\pi\)
\(224\) 6.69034e7 + 2.06370e7i 0.397722 + 0.122681i
\(225\) 6.32705e6 + 8.44287e7i 0.0370308 + 0.494141i
\(226\) 1.56665e7 + 6.86393e7i 0.0902800 + 0.395543i
\(227\) 3.26105e6 8.30903e6i 0.0185041 0.0471476i −0.921323 0.388798i \(-0.872891\pi\)
0.939827 + 0.341650i \(0.110986\pi\)
\(228\) −5.95018e6 + 7.93996e7i −0.0332474 + 0.443656i
\(229\) 2.23271e8 3.36527e7i 1.22859 0.185181i 0.497504 0.867462i \(-0.334250\pi\)
0.731090 + 0.682281i \(0.239012\pi\)
\(230\) −3.19017e7 2.96005e7i −0.172889 0.160417i
\(231\) −7.98086e6 3.84338e6i −0.0425998 0.0205150i
\(232\) −1.23660e8 + 8.43100e7i −0.650162 + 0.443273i
\(233\) −7.37590e7 1.87935e8i −0.382005 0.973334i −0.984527 0.175231i \(-0.943933\pi\)
0.602522 0.798102i \(-0.294163\pi\)
\(234\) −1.42144e8 + 4.38455e7i −0.725224 + 0.223702i
\(235\) −1.99472e7 + 1.85083e7i −0.100264 + 0.0930311i
\(236\) 1.81208e8 2.27228e8i 0.897400 1.12530i
\(237\) −8.51410e7 + 1.06763e8i −0.415451 + 0.520959i
\(238\) −2.45823e7 + 2.28090e7i −0.118196 + 0.109670i
\(239\) 4.01051e8 1.23708e8i 1.90023 0.586145i 0.918666 0.395036i \(-0.129268\pi\)
0.981569 0.191109i \(-0.0612084\pi\)
\(240\) 7.08706e6 + 1.80575e7i 0.0330923 + 0.0843178i
\(241\) −2.22676e8 + 1.51818e8i −1.02474 + 0.698655i −0.954297 0.298860i \(-0.903393\pi\)
−0.0704424 + 0.997516i \(0.522441\pi\)
\(242\) 8.48471e7 + 4.08602e7i 0.384843 + 0.185330i
\(243\) −1.49544e8 1.38757e8i −0.668572 0.620344i
\(244\) 2.74855e7 4.14278e6i 0.121127 0.0182569i
\(245\) −9.36493e6 + 1.24966e8i −0.0406840 + 0.542890i
\(246\) 1.32540e7 3.37706e7i 0.0567640 0.144632i
\(247\) −1.52058e8 6.66209e8i −0.642051 2.81301i
\(248\) −1.60435e7 2.14085e8i −0.0667908 0.891262i
\(249\) −4.37869e7 1.35065e7i −0.179741 0.0554426i
\(250\) 1.08433e8 5.22186e7i 0.438906 0.211366i
\(251\) 5.02922e7 8.71087e7i 0.200744 0.347699i −0.748024 0.663671i \(-0.768997\pi\)
0.948768 + 0.315972i \(0.102331\pi\)
\(252\) −3.47312e7 6.01562e7i −0.136715 0.236798i
\(253\) 5.09836e7 + 3.47600e7i 0.197928 + 0.134945i
\(254\) 2.78727e6 1.22118e7i 0.0106724 0.0467587i
\(255\) −5.25213e7 7.91631e6i −0.198356 0.0298973i
\(256\) −9.48161e7 1.18896e8i −0.353217 0.442921i
\(257\) 2.26888e8 0.833769 0.416884 0.908960i \(-0.363122\pi\)
0.416884 + 0.908960i \(0.363122\pi\)
\(258\) 3.96094e7 + 2.74227e7i 0.143592 + 0.0994125i
\(259\) 1.33589e8 0.477773
\(260\) −1.65769e8 2.07867e8i −0.584919 0.733465i
\(261\) 2.29535e8 + 3.45969e7i 0.799112 + 0.120447i
\(262\) 3.28401e7 1.43882e8i 0.112811 0.494256i
\(263\) 2.25632e8 + 1.53834e8i 0.764815 + 0.521442i 0.881761 0.471696i \(-0.156358\pi\)
−0.116946 + 0.993138i \(0.537311\pi\)
\(264\) 1.45754e7 + 2.52453e7i 0.0487536 + 0.0844438i
\(265\) −1.78111e8 + 3.08497e8i −0.587936 + 1.01833i
\(266\) −8.33234e7 + 4.01265e7i −0.271445 + 0.130721i
\(267\) 1.28383e8 + 3.96010e7i 0.412781 + 0.127326i
\(268\) −3.29214e6 4.39305e7i −0.0104473 0.139410i
\(269\) 5.79639e6 + 2.53956e7i 0.0181562 + 0.0795474i 0.983194 0.182562i \(-0.0584390\pi\)
−0.965038 + 0.262109i \(0.915582\pi\)
\(270\) −2.51287e7 + 6.40269e7i −0.0776957 + 0.197966i
\(271\) 1.27097e7 1.69599e8i 0.0387921 0.517645i −0.943634 0.330991i \(-0.892617\pi\)
0.982426 0.186653i \(-0.0597641\pi\)
\(272\) −1.02963e8 + 1.55192e7i −0.310235 + 0.0467604i
\(273\) −6.86373e7 6.36861e7i −0.204169 0.189442i
\(274\) 2.45731e8 + 1.18338e8i 0.721661 + 0.347534i
\(275\) −5.13806e7 + 3.50307e7i −0.148982 + 0.101574i
\(276\) −2.77655e7 7.07453e7i −0.0794920 0.202542i
\(277\) 2.18455e8 6.73845e7i 0.617566 0.190494i 0.0298409 0.999555i \(-0.490500\pi\)
0.587725 + 0.809061i \(0.300024\pi\)
\(278\) −2.10958e7 + 1.95741e7i −0.0588898 + 0.0546417i
\(279\) −2.07604e8 + 2.60327e8i −0.572296 + 0.717636i
\(280\) −5.13717e7 + 6.44181e7i −0.139853 + 0.175370i
\(281\) −5.46345e7 + 5.06934e7i −0.146891 + 0.136295i −0.750196 0.661216i \(-0.770041\pi\)
0.603305 + 0.797511i \(0.293850\pi\)
\(282\) 1.31605e7 4.05947e6i 0.0349462 0.0107795i
\(283\) 7.62049e7 + 1.94167e8i 0.199862 + 0.509240i 0.995305 0.0967882i \(-0.0308569\pi\)
−0.795443 + 0.606029i \(0.792762\pi\)
\(284\) −4.35394e8 + 2.96846e8i −1.12789 + 0.768984i
\(285\) −1.31975e8 6.35560e7i −0.337704 0.162630i
\(286\) −8.00915e7 7.43140e7i −0.202444 0.187841i
\(287\) −1.43767e8 + 2.16693e7i −0.358981 + 0.0541077i
\(288\) −2.67051e7 + 3.56354e8i −0.0658749 + 0.879040i
\(289\) −4.57528e7 + 1.16576e8i −0.111500 + 0.284098i
\(290\) −2.67572e7 1.17231e8i −0.0644241 0.282260i
\(291\) 5.45632e6 + 7.28095e7i 0.0129800 + 0.173206i
\(292\) 3.41518e8 + 1.05344e8i 0.802738 + 0.247612i
\(293\) −7.18912e7 + 3.46210e7i −0.166970 + 0.0804086i −0.515502 0.856888i \(-0.672395\pi\)
0.348532 + 0.937297i \(0.386680\pi\)
\(294\) 3.17132e7 5.49289e7i 0.0727821 0.126062i
\(295\) 2.67342e8 + 4.63050e8i 0.606303 + 1.05015i
\(296\) −3.63234e8 2.47649e8i −0.814077 0.555028i
\(297\) 2.17014e7 9.50800e7i 0.0480662 0.210592i
\(298\) 9.54065e6 + 1.43802e6i 0.0208843 + 0.00314781i
\(299\) 4.06667e8 + 5.09945e8i 0.879812 + 1.10325i
\(300\) 7.65907e7 0.163776
\(301\) 1.58064e7 1.92423e8i 0.0334080 0.406700i
\(302\) −8.69694e6 −0.0181695
\(303\) −5.62576e7 7.05448e7i −0.116180 0.145685i
\(304\) −2.83956e8 4.27995e7i −0.579688 0.0873739i
\(305\) −1.13789e7 + 4.98544e7i −0.0229643 + 0.100613i
\(306\) −1.41419e8 9.64177e7i −0.282151 0.192368i
\(307\) −2.10504e8 3.64603e8i −0.415217 0.719177i 0.580234 0.814450i \(-0.302961\pi\)
−0.995451 + 0.0952726i \(0.969628\pi\)
\(308\) 2.55098e7 4.41843e7i 0.0497485 0.0861669i
\(309\) −6.22196e7 + 2.99634e7i −0.119970 + 0.0577745i
\(310\) 1.64821e8 + 5.08405e7i 0.314229 + 0.0969269i
\(311\) 4.61486e7 + 6.15811e8i 0.0869957 + 1.16088i 0.854366 + 0.519672i \(0.173946\pi\)
−0.767370 + 0.641204i \(0.778435\pi\)
\(312\) 6.85657e7 + 3.00406e8i 0.127810 + 0.559973i
\(313\) −2.64479e8 + 6.73881e8i −0.487512 + 1.24216i 0.449630 + 0.893215i \(0.351556\pi\)
−0.937143 + 0.348946i \(0.886540\pi\)
\(314\) 3.24774e6 4.33380e7i 0.00592007 0.0789978i
\(315\) 1.26363e8 1.90462e7i 0.227789 0.0343337i
\(316\) −5.76556e8 5.34966e8i −1.02787 0.953720i
\(317\) −3.71969e7 1.79131e7i −0.0655843 0.0315837i 0.400804 0.916164i \(-0.368731\pi\)
−0.466388 + 0.884580i \(0.654445\pi\)
\(318\) 1.48966e8 1.01563e8i 0.259772 0.177109i
\(319\) 6.22893e7 + 1.58711e8i 0.107435 + 0.273740i
\(320\) 3.91828e7 1.20863e7i 0.0668452 0.0206190i
\(321\) 4.61303e7 4.28027e7i 0.0778428 0.0722276i
\(322\) 5.50375e7 6.90149e7i 0.0918678 0.115199i
\(323\) 4.90236e8 6.14736e8i 0.809461 1.01503i
\(324\) 2.12664e8 1.97323e8i 0.347365 0.322308i
\(325\) −6.28120e8 + 1.93749e8i −1.01497 + 0.313075i
\(326\) 1.50424e8 + 3.83275e8i 0.240468 + 0.612701i
\(327\) 2.92315e8 1.99297e8i 0.462310 0.315198i
\(328\) 4.31079e8 + 2.07597e8i 0.674525 + 0.324834i
\(329\) −4.04605e7 3.75418e7i −0.0626391 0.0581206i
\(330\) −2.31590e7 + 3.49065e6i −0.0354748 + 0.00534697i
\(331\) 3.42436e7 4.56949e8i 0.0519017 0.692580i −0.909196 0.416369i \(-0.863302\pi\)
0.961097 0.276210i \(-0.0890786\pi\)
\(332\) 9.64219e7 2.45679e8i 0.144608 0.368455i
\(333\) 1.51724e8 + 6.64748e8i 0.225165 + 0.986511i
\(334\) 2.01231e7 + 2.68523e8i 0.0295516 + 0.394339i
\(335\) 7.74452e7 + 2.38887e7i 0.112548 + 0.0347165i
\(336\) −3.54509e7 + 1.70723e7i −0.0509847 + 0.0245529i
\(337\) −3.34549e8 + 5.79456e8i −0.476162 + 0.824737i −0.999627 0.0273103i \(-0.991306\pi\)
0.523465 + 0.852047i \(0.324639\pi\)
\(338\) −4.09180e8 7.08721e8i −0.576377 0.998314i
\(339\) −1.86888e8 1.27418e8i −0.260545 0.177637i
\(340\) 6.80740e7 2.98252e8i 0.0939302 0.411535i
\(341\) −2.41833e8 3.64505e7i −0.330275 0.0497809i
\(342\) −2.94307e8 3.69049e8i −0.397841 0.498877i
\(343\) −5.59165e8 −0.748188
\(344\) −3.99695e8 + 4.93905e8i −0.529388 + 0.654167i
\(345\) 1.39815e8 0.183311
\(346\) 3.07630e7 + 3.85756e7i 0.0399266 + 0.0500664i
\(347\) 1.15596e9 + 1.74233e8i 1.48522 + 0.223860i 0.841022 0.541002i \(-0.181955\pi\)
0.644194 + 0.764862i \(0.277193\pi\)
\(348\) 4.67270e7 2.04725e8i 0.0594348 0.260401i
\(349\) −6.77777e8 4.62101e8i −0.853489 0.581899i 0.0556224 0.998452i \(-0.482286\pi\)
−0.909111 + 0.416553i \(0.863238\pi\)
\(350\) 4.44804e7 + 7.70423e7i 0.0554537 + 0.0960487i
\(351\) 5.15433e8 8.92756e8i 0.636205 1.10194i
\(352\) −2.36481e8 + 1.13883e8i −0.288999 + 0.139175i
\(353\) −2.65299e8 8.18338e7i −0.321014 0.0990196i 0.130061 0.991506i \(-0.458483\pi\)
−0.451074 + 0.892486i \(0.648959\pi\)
\(354\) −2.02234e7 2.69862e8i −0.0242294 0.323319i
\(355\) −2.15723e8 9.45143e8i −0.255915 1.12124i
\(356\) −2.82710e8 + 7.20333e8i −0.332098 + 0.846171i
\(357\) 8.05116e6 1.07435e8i 0.00936526 0.124971i
\(358\) 2.95997e8 4.46144e7i 0.340955 0.0513906i
\(359\) 6.65164e8 + 6.17182e8i 0.758749 + 0.704016i 0.961376 0.275240i \(-0.0887573\pi\)
−0.202627 + 0.979256i \(0.564948\pi\)
\(360\) −3.78894e8 1.82466e8i −0.428016 0.206121i
\(361\) 1.05309e9 7.17984e8i 1.17812 0.803229i
\(362\) 1.35638e8 + 3.45599e8i 0.150280 + 0.382906i
\(363\) −2.89112e8 + 8.91793e7i −0.317244 + 0.0978568i
\(364\) 3.95328e8 3.66811e8i 0.429638 0.398646i
\(365\) −4.09947e8 + 5.14057e8i −0.441268 + 0.553333i
\(366\) 1.61369e7 2.02351e7i 0.0172043 0.0215735i
\(367\) 8.66377e8 8.03881e8i 0.914905 0.848907i −0.0740306 0.997256i \(-0.523586\pi\)
0.988935 + 0.148349i \(0.0473958\pi\)
\(368\) 2.61918e8 8.07911e7i 0.273967 0.0845076i
\(369\) −2.71112e8 6.90782e8i −0.280903 0.715729i
\(370\) 2.91832e8 1.98968e8i 0.299521 0.204210i
\(371\) −6.50999e8 3.13504e8i −0.661868 0.318739i
\(372\) 2.20806e8 + 2.04878e8i 0.222387 + 0.206345i
\(373\) 1.07037e8 1.61332e7i 0.106795 0.0160968i −0.0954272 0.995436i \(-0.530422\pi\)
0.202222 + 0.979340i \(0.435184\pi\)
\(374\) 9.39474e6 1.25364e8i 0.00928612 0.123915i
\(375\) −1.41262e8 + 3.59930e8i −0.138330 + 0.352459i
\(376\) 4.04183e7 + 1.77084e8i 0.0392121 + 0.171800i
\(377\) 1.34678e8 + 1.79715e9i 0.129450 + 1.72739i
\(378\) −1.33317e8 4.11229e7i −0.126959 0.0391617i
\(379\) 5.83494e8 2.80996e8i 0.550553 0.265132i −0.137859 0.990452i \(-0.544022\pi\)
0.688413 + 0.725319i \(0.258308\pi\)
\(380\) 4.21842e8 7.30653e8i 0.394373 0.683075i
\(381\) 2.01212e7 + 3.48509e7i 0.0186387 + 0.0322832i
\(382\) −1.40124e8 9.55347e7i −0.128615 0.0876879i
\(383\) 2.34431e8 1.02711e9i 0.213216 0.934161i −0.749149 0.662401i \(-0.769537\pi\)
0.962365 0.271759i \(-0.0876055\pi\)
\(384\) 3.91785e8 + 5.90521e7i 0.353093 + 0.0532202i
\(385\) 5.85215e7 + 7.33836e7i 0.0522640 + 0.0655370i
\(386\) −9.33010e8 −0.825716
\(387\) 9.75463e8 1.39892e8i 0.855505 0.122689i
\(388\) −4.20534e8 −0.365503
\(389\) −3.26244e8 4.09097e8i −0.281008 0.352373i 0.621217 0.783639i \(-0.286639\pi\)
−0.902225 + 0.431266i \(0.858067\pi\)
\(390\) −2.44796e8 3.68971e7i −0.208967 0.0314967i
\(391\) −1.67001e8 + 7.31678e8i −0.141286 + 0.619015i
\(392\) 6.91154e8 + 4.71221e8i 0.579527 + 0.395115i
\(393\) 2.37071e8 + 4.10620e8i 0.197018 + 0.341245i
\(394\) −5.87845e7 + 1.01818e8i −0.0484201 + 0.0838662i
\(395\) 1.30366e9 6.27810e8i 1.06433 0.512553i
\(396\) 2.48837e8 + 7.67561e7i 0.201364 + 0.0621126i
\(397\) 1.05417e8 + 1.40669e9i 0.0845557 + 1.12832i 0.864555 + 0.502538i \(0.167600\pi\)
−0.780000 + 0.625780i \(0.784781\pi\)
\(398\) −2.33806e7 1.02437e8i −0.0185894 0.0814454i
\(399\) 1.08550e8 2.76582e8i 0.0855512 0.217981i
\(400\) −2.06427e7 + 2.75458e8i −0.0161271 + 0.215201i
\(401\) −1.11369e9 + 1.67862e8i −0.862503 + 0.130001i −0.565373 0.824836i \(-0.691268\pi\)
−0.297130 + 0.954837i \(0.596030\pi\)
\(402\) −3.00695e7 2.79004e7i −0.0230853 0.0214200i
\(403\) −2.32910e9 1.12164e9i −1.77264 0.853659i
\(404\) 4.29392e8 2.92755e8i 0.323981 0.220887i
\(405\) 1.94987e8 + 4.96820e8i 0.145852 + 0.371626i
\(406\) 2.33069e8 7.18922e7i 0.172839 0.0533139i
\(407\) −3.67119e8 + 3.40637e8i −0.269915 + 0.250444i
\(408\) −2.21056e8 + 2.77196e8i −0.161136 + 0.202058i
\(409\) 1.35566e9 1.69994e9i 0.979758 1.22858i 0.00623736 0.999981i \(-0.498015\pi\)
0.973521 0.228598i \(-0.0734140\pi\)
\(410\) −2.81792e8 + 2.61464e8i −0.201922 + 0.187357i
\(411\) −8.37317e8 + 2.58278e8i −0.594899 + 0.183502i
\(412\) −1.45316e8 3.70259e8i −0.102370 0.260835i
\(413\) −8.96092e8 + 6.10945e8i −0.625932 + 0.426753i
\(414\) 4.05932e8 + 1.95487e8i 0.281159 + 0.135399i
\(415\) 3.55927e8 + 3.30252e8i 0.244451 + 0.226817i
\(416\) −2.74343e9 + 4.13505e8i −1.86839 + 0.281614i
\(417\) 6.90928e6 9.21980e7i 0.00466613 0.0622652i
\(418\) 1.26665e8 3.22738e8i 0.0848283 0.216139i
\(419\) 4.42858e6 + 1.94029e7i 0.00294114 + 0.0128860i 0.976377 0.216073i \(-0.0693249\pi\)
−0.973436 + 0.228959i \(0.926468\pi\)
\(420\) −8.63900e6 1.15279e8i −0.00568972 0.0759241i
\(421\) −5.34208e8 1.64781e8i −0.348918 0.107627i 0.115342 0.993326i \(-0.463204\pi\)
−0.464260 + 0.885699i \(0.653680\pi\)
\(422\) −7.38889e8 + 3.55830e8i −0.478614 + 0.230489i
\(423\) 1.40858e8 2.43973e8i 0.0904876 0.156729i
\(424\) 1.18891e9 + 2.05926e9i 0.757478 + 1.31199i
\(425\) −6.24917e8 4.26061e8i −0.394876 0.269222i
\(426\) −1.09183e8 + 4.78364e8i −0.0684263 + 0.299795i
\(427\) −1.02566e8 1.54593e7i −0.0637537 0.00960932i
\(428\) 2.25984e8 + 2.83375e8i 0.139324 + 0.174706i
\(429\) 3.51016e8 0.214648
\(430\) −2.52066e8 4.43901e8i −0.152888 0.269244i
\(431\) −5.51400e8 −0.331739 −0.165869 0.986148i \(-0.553043\pi\)
−0.165869 + 0.986148i \(0.553043\pi\)
\(432\) −2.70099e8 3.38694e8i −0.161187 0.202122i
\(433\) 1.09382e9 + 1.64867e8i 0.647497 + 0.0975945i 0.464576 0.885533i \(-0.346207\pi\)
0.182921 + 0.983128i \(0.441445\pi\)
\(434\) −7.78520e7 + 3.41092e8i −0.0457147 + 0.200289i
\(435\) 3.19192e8 + 2.17621e8i 0.185926 + 0.126762i
\(436\) 1.01885e9 + 1.76471e9i 0.588721 + 1.01969i
\(437\) −1.03487e9 + 1.79245e9i −0.593202 + 1.02746i
\(438\) 2.99826e8 1.44389e8i 0.170494 0.0821058i
\(439\) 1.19667e9 + 3.69123e8i 0.675068 + 0.208231i 0.613289 0.789859i \(-0.289846\pi\)
0.0617795 + 0.998090i \(0.480322\pi\)
\(440\) −2.30830e7 3.08021e8i −0.0129184 0.172384i
\(441\) −2.88698e8 1.26487e9i −0.160291 0.702280i
\(442\) 4.85482e8 1.23699e9i 0.267421 0.681377i
\(443\) −2.52283e8 + 3.36649e9i −0.137872 + 1.83977i 0.316066 + 0.948737i \(0.397638\pi\)
−0.453938 + 0.891033i \(0.649981\pi\)
\(444\) 6.09925e8 9.19314e7i 0.330701 0.0498452i
\(445\) −1.04358e9 9.68300e8i −0.561391 0.520895i
\(446\) 1.79722e8 + 8.65494e7i 0.0959242 + 0.0461947i
\(447\) −2.56116e7 + 1.74617e7i −0.0135631 + 0.00924720i
\(448\) 3.03864e7 + 7.74233e7i 0.0159664 + 0.0406817i
\(449\) −1.54709e9 + 4.77214e8i −0.806592 + 0.248801i −0.670513 0.741897i \(-0.733926\pi\)
−0.136078 + 0.990698i \(0.543450\pi\)
\(450\) −3.32849e8 + 3.08839e8i −0.172188 + 0.159767i
\(451\) 3.39834e8 4.26139e8i 0.174441 0.218743i
\(452\) 8.12274e8 1.01856e9i 0.413731 0.518802i
\(453\) 2.04822e7 1.90047e7i 0.0103522 0.00960544i
\(454\) 4.57436e7 1.41100e7i 0.0229422 0.00707672i
\(455\) 3.62468e8 + 9.23553e8i 0.180397 + 0.459644i
\(456\) −8.07884e8 + 5.50806e8i −0.398999 + 0.272033i
\(457\) −1.20140e9 5.78565e8i −0.588819 0.283561i 0.115655 0.993289i \(-0.463103\pi\)
−0.704475 + 0.709729i \(0.748817\pi\)
\(458\) 8.87671e8 + 8.23638e8i 0.431741 + 0.400597i
\(459\) 1.17290e9 1.76787e8i 0.566132 0.0853306i
\(460\) −6.01794e7 + 8.03038e8i −0.0288267 + 0.384666i
\(461\) −8.68673e8 + 2.21334e9i −0.412955 + 1.05219i 0.561473 + 0.827495i \(0.310235\pi\)
−0.974428 + 0.224698i \(0.927861\pi\)
\(462\) −1.05710e7 4.63148e7i −0.00498736 0.0218511i
\(463\) −1.49333e8 1.99271e9i −0.0699233 0.933062i −0.916304 0.400484i \(-0.868842\pi\)
0.846381 0.532579i \(-0.178777\pi\)
\(464\) 7.23696e8 + 2.23231e8i 0.336313 + 0.103739i
\(465\) −4.99268e8 + 2.40435e8i −0.230276 + 0.110895i
\(466\) 5.41369e8 9.37679e8i 0.247824 0.429243i
\(467\) −1.65644e9 2.86905e9i −0.752606 1.30355i −0.946556 0.322541i \(-0.895463\pi\)
0.193949 0.981012i \(-0.437870\pi\)
\(468\) 2.27427e9 + 1.55057e9i 1.02561 + 0.699248i
\(469\) −3.65807e7 + 1.60270e8i −0.0163737 + 0.0717378i
\(470\) −1.44303e8 2.17502e7i −0.0641111 0.00966319i
\(471\) 8.70542e7 + 1.09163e8i 0.0383899 + 0.0481394i
\(472\) 3.56909e9 1.56229
\(473\) 4.47219e8 + 5.69107e8i 0.194315 + 0.247275i
\(474\) −7.32346e8 −0.315858
\(475\) −1.30052e9 1.63080e9i −0.556786 0.698188i
\(476\) 6.13596e8 + 9.24847e7i 0.260770 + 0.0393048i
\(477\) 8.20645e8 3.59548e9i 0.346211 1.51685i
\(478\) 1.85972e9 + 1.26794e9i 0.778845 + 0.531007i
\(479\) −7.73479e7 1.33970e8i −0.0321569 0.0556974i 0.849499 0.527590i \(-0.176904\pi\)
−0.881656 + 0.471893i \(0.843571\pi\)
\(480\) −2.97363e8 + 5.15048e8i −0.122728 + 0.212571i
\(481\) −4.76944e9 + 2.29684e9i −1.95416 + 0.941072i
\(482\) −1.38114e9 4.26026e8i −0.561789 0.173289i
\(483\) 2.11934e7 + 2.82806e8i 0.00855826 + 0.114202i
\(484\) −3.87767e8 1.69892e9i −0.155458 0.681104i
\(485\) 2.82650e8 7.20180e8i 0.112500 0.286645i
\(486\) 8.17594e7 1.09100e9i 0.0323080 0.431121i
\(487\) 3.15758e9 4.75929e8i 1.23881 0.186720i 0.503224 0.864156i \(-0.332147\pi\)
0.735581 + 0.677436i \(0.236909\pi\)
\(488\) 2.50222e8 + 2.32172e8i 0.0974668 + 0.0904360i
\(489\) −1.19180e9 5.73943e8i −0.460918 0.221967i
\(490\) −5.55292e8 + 3.78592e8i −0.213223 + 0.145373i
\(491\) −5.95789e8 1.51804e9i −0.227147 0.578761i 0.771178 0.636620i \(-0.219668\pi\)
−0.998325 + 0.0578588i \(0.981573\pi\)
\(492\) −6.41481e8 + 1.97871e8i −0.242832 + 0.0749038i
\(493\) −1.52010e9 + 1.41045e9i −0.571359 + 0.530143i
\(494\) 2.28494e9 2.86522e9i 0.852765 1.06933i
\(495\) −2.98696e8 + 3.74553e8i −0.110691 + 0.138802i
\(496\) −7.96353e8 + 7.38908e8i −0.293035 + 0.271897i
\(497\) 1.87905e9 5.79610e8i 0.686580 0.211782i
\(498\) −8.97812e7 2.28759e8i −0.0325749 0.0829994i
\(499\) 8.06779e8 5.50053e8i 0.290672 0.198177i −0.409201 0.912444i \(-0.634192\pi\)
0.699873 + 0.714268i \(0.253240\pi\)
\(500\) −2.00648e9 9.66269e8i −0.717859 0.345703i
\(501\) −6.34174e8 5.88428e8i −0.225308 0.209055i
\(502\) 5.33408e8 8.03984e7i 0.188190 0.0283651i
\(503\) 1.24652e8 1.66336e9i 0.0436727 0.582772i −0.931846 0.362855i \(-0.881802\pi\)
0.975518 0.219917i \(-0.0705788\pi\)
\(504\) 3.11643e8 7.94052e8i 0.108430 0.276275i
\(505\) 2.12749e8 + 9.32116e8i 0.0735103 + 0.322070i
\(506\) 2.47302e7 + 3.30001e8i 0.00848594 + 0.113237i
\(507\) 2.51237e9 + 7.74964e8i 0.856163 + 0.264091i
\(508\) −2.08829e8 + 1.00567e8i −0.0706752 + 0.0340354i
\(509\) −4.93936e8 + 8.55523e8i −0.166019 + 0.287554i −0.937017 0.349284i \(-0.886425\pi\)
0.770997 + 0.636838i \(0.219758\pi\)
\(510\) −1.42426e8 2.46690e8i −0.0475439 0.0823484i
\(511\) −1.10193e9 7.51283e8i −0.365326 0.249075i
\(512\) −4.73494e8 + 2.07451e9i −0.155908 + 0.683079i
\(513\) 3.23468e9 + 4.87550e8i 1.05784 + 0.159444i
\(514\) 7.58661e8 + 9.51330e8i 0.246420 + 0.309001i
\(515\) 7.31751e8 0.236068
\(516\) −6.02521e7 8.89421e8i −0.0193063 0.284992i
\(517\) 2.06918e8 0.0658539
\(518\) 4.46690e8 + 5.60132e8i 0.141206 + 0.177066i
\(519\) −1.56746e8 2.36257e7i −0.0492166 0.00741820i
\(520\) 7.26528e8 3.18313e9i 0.226590 0.992756i
\(521\) 2.05054e9 + 1.39803e9i 0.635237 + 0.433097i 0.837653 0.546202i \(-0.183927\pi\)
−0.202416 + 0.979300i \(0.564879\pi\)
\(522\) 6.22450e8 + 1.07811e9i 0.191539 + 0.331755i
\(523\) 1.36445e9 2.36329e9i 0.417062 0.722373i −0.578580 0.815625i \(-0.696393\pi\)
0.995642 + 0.0932526i \(0.0297264\pi\)
\(524\) −2.46046e9 + 1.18489e9i −0.747062 + 0.359766i
\(525\) −2.73110e8 8.42434e7i −0.0823722 0.0254085i
\(526\) 1.09446e8 + 1.46045e9i 0.0327905 + 0.437559i
\(527\) −6.61893e8 2.89994e9i −0.196993 0.863082i
\(528\) 5.38912e7 1.37312e8i 0.0159331 0.0405968i
\(529\) −1.06809e8 + 1.42527e9i −0.0313700 + 0.418604i
\(530\) −1.88908e9 + 2.84732e8i −0.551168 + 0.0830751i
\(531\) −4.05785e9 3.76513e9i −1.17616 1.09131i
\(532\) 1.54184e9 + 7.42512e8i 0.443965 + 0.213803i
\(533\) 4.76024e9 3.24548e9i 1.36171 0.928396i
\(534\) 2.63239e8 + 6.70722e8i 0.0748094 + 0.190611i
\(535\) −6.37178e8 + 1.96544e8i −0.179897 + 0.0554907i
\(536\) 3.96575e8 3.67968e8i 0.111237 0.103213i
\(537\) −5.99612e8 + 7.51889e8i −0.167094 + 0.209529i
\(538\) −8.71009e7 + 1.09221e8i −0.0241149 + 0.0302391i
\(539\) 6.98546e8 6.48156e8i 0.192147 0.178287i
\(540\) 1.21621e9 3.75151e8i 0.332377 0.102525i
\(541\) −5.97457e8 1.52230e9i −0.162225 0.413341i 0.826529 0.562894i \(-0.190312\pi\)
−0.988754 + 0.149552i \(0.952217\pi\)
\(542\) 7.53620e8 5.13810e8i 0.203308 0.138613i
\(543\) −1.07465e9 5.17524e8i −0.288050 0.138717i
\(544\) −2.34015e9 2.17134e9i −0.623229 0.578272i
\(545\) −3.70691e9 + 5.58727e8i −0.980900 + 0.147847i
\(546\) 3.75256e7 5.00744e8i 0.00986628 0.131656i
\(547\) 2.78856e8 7.10514e8i 0.0728492 0.185617i −0.889811 0.456329i \(-0.849164\pi\)
0.962660 + 0.270712i \(0.0872592\pi\)
\(548\) −1.12304e9 4.92035e9i −0.291516 1.27721i
\(549\) −3.95631e7 5.27933e8i −0.0102044 0.136168i
\(550\) −3.18687e8 9.83019e7i −0.0816761 0.0251937i
\(551\) −5.15250e9 + 2.48131e9i −1.31216 + 0.631904i
\(552\) 4.66644e8 8.08251e8i 0.118086 0.204531i
\(553\) 1.46749e9 + 2.54177e9i 0.369009 + 0.639142i
\(554\) 1.01300e9 + 6.90654e8i 0.253120 + 0.172574i
\(555\) −2.52507e8 + 1.10631e9i −0.0626972 + 0.274694i
\(556\) 5.26571e8 + 7.93678e7i 0.129926 + 0.0195831i
\(557\) 2.89564e9 + 3.63102e9i 0.709989 + 0.890298i 0.997725 0.0674113i \(-0.0214740\pi\)
−0.287736 + 0.957710i \(0.592903\pi\)
\(558\) −1.78572e9 −0.435104
\(559\) 2.74407e9 + 7.14172e9i 0.664438 + 1.72927i
\(560\) 4.16930e8 0.100324
\(561\) 2.51822e8 + 3.15775e8i 0.0602177 + 0.0755106i
\(562\) −3.95240e8 5.95729e7i −0.0939256 0.0141570i
\(563\) −1.29980e9 + 5.69482e9i −0.306972 + 1.34493i 0.552399 + 0.833580i \(0.313712\pi\)
−0.859371 + 0.511353i \(0.829145\pi\)
\(564\) −2.10565e8 1.43561e8i −0.0494207 0.0336945i
\(565\) 1.19837e9 + 2.07564e9i 0.279526 + 0.484153i
\(566\) −5.59321e8 + 9.68773e8i −0.129659 + 0.224577i
\(567\) −9.75366e8 + 4.69711e8i −0.224712 + 0.108216i
\(568\) −6.18371e9 1.90742e9i −1.41589 0.436745i
\(569\) −3.95758e8 5.28103e9i −0.0900611 1.20178i −0.840861 0.541252i \(-0.817951\pi\)
0.750800 0.660530i \(-0.229668\pi\)
\(570\) −1.74808e8 7.65883e8i −0.0395366 0.173221i
\(571\) −8.86049e8 + 2.25761e9i −0.199173 + 0.507485i −0.995210 0.0977635i \(-0.968831\pi\)
0.796036 + 0.605249i \(0.206926\pi\)
\(572\) −1.51085e8 + 2.01608e9i −0.0337547 + 0.450425i
\(573\) 5.38770e8 8.12066e7i 0.119636 0.0180323i
\(574\) −5.71581e8 5.30350e8i −0.126150 0.117050i
\(575\) 1.79378e9 + 8.63838e8i 0.393488 + 0.189494i
\(576\) −3.50752e8 + 2.39139e8i −0.0764754 + 0.0521401i
\(577\) 1.93171e9 + 4.92192e9i 0.418627 + 1.06664i 0.972264 + 0.233886i \(0.0751441\pi\)
−0.553637 + 0.832758i \(0.686761\pi\)
\(578\) −6.41786e8 + 1.97965e8i −0.138243 + 0.0426423i
\(579\) 2.19734e9 2.03883e9i 0.470459 0.436522i
\(580\) −1.38731e9 + 1.73963e9i −0.295240 + 0.370219i
\(581\) −6.14052e8 + 7.69996e8i −0.129894 + 0.162882i
\(582\) −2.87042e8 + 2.66336e8i −0.0603553 + 0.0560015i
\(583\) 2.58843e9 7.98424e8i 0.540998 0.166876i
\(584\) 1.60346e9 + 4.08554e9i 0.333129 + 0.848799i
\(585\) −4.18399e9 + 2.85260e9i −0.864062 + 0.589108i
\(586\) −3.85552e8 1.85672e8i −0.0791482 0.0381158i
\(587\) 5.49763e9 + 5.10105e9i 1.12187 + 1.04094i 0.998821 + 0.0485414i \(0.0154573\pi\)
0.123048 + 0.992401i \(0.460733\pi\)
\(588\) −1.16055e9 + 1.74925e8i −0.235420 + 0.0354839i
\(589\) 6.13030e8 8.18032e9i 0.123617 1.64956i
\(590\) −1.04762e9 + 2.66928e9i −0.210001 + 0.535073i
\(591\) −8.40503e7 3.68248e8i −0.0167488 0.0733812i
\(592\) 1.66244e8 + 2.21837e9i 0.0329321 + 0.439448i
\(593\) 8.39260e9 + 2.58878e9i 1.65274 + 0.509804i 0.974377 0.224921i \(-0.0722124\pi\)
0.678366 + 0.734724i \(0.262689\pi\)
\(594\) 4.71231e8 2.26933e8i 0.0922531 0.0444267i
\(595\) −5.70793e8 + 9.88643e8i −0.111089 + 0.192411i
\(596\) −8.92686e7 1.54618e8i −0.0172718 0.0299156i
\(597\) 2.78911e8 + 1.90158e8i 0.0536483 + 0.0365768i
\(598\) −7.78373e8 + 3.41027e9i −0.148845 + 0.652131i
\(599\) −4.78157e8 7.20706e7i −0.0909026 0.0137014i 0.103433 0.994636i \(-0.467017\pi\)
−0.194336 + 0.980935i \(0.562255\pi\)
\(600\) 5.86427e8 + 7.35357e8i 0.110837 + 0.138985i
\(601\) −7.68318e9 −1.44371 −0.721856 0.692043i \(-0.756711\pi\)
−0.721856 + 0.692043i \(0.756711\pi\)
\(602\) 8.59674e8 5.77143e8i 0.160600 0.107819i
\(603\) −8.39063e8 −0.155842
\(604\) 1.00339e8 + 1.25821e8i 0.0185284 + 0.0232339i
\(605\) 3.17008e9 + 4.77813e8i 0.582005 + 0.0877231i
\(606\) 1.07679e8 4.71771e8i 0.0196551 0.0861146i
\(607\) 2.43029e9 + 1.65695e9i 0.441061 + 0.300710i 0.763414 0.645909i \(-0.223522\pi\)
−0.322353 + 0.946619i \(0.604474\pi\)
\(608\) −4.40199e9 7.62447e9i −0.794303 1.37577i
\(609\) −3.91801e8 + 6.78620e8i −0.0702919 + 0.121749i
\(610\) −2.47086e8 + 1.18990e8i −0.0440751 + 0.0212254i
\(611\) 2.09000e9 + 6.44681e8i 0.370683 + 0.114341i
\(612\) 2.36685e8 + 3.15834e9i 0.0417388 + 0.556965i
\(613\) −1.33231e9 5.83724e9i −0.233612 1.02352i −0.946617 0.322361i \(-0.895524\pi\)
0.713005 0.701159i \(-0.247334\pi\)
\(614\) 8.24888e8 2.10178e9i 0.143815 0.366436i
\(615\) 9.22920e7 1.23155e9i 0.0159993 0.213496i
\(616\) 6.19538e8 9.33804e7i 0.106791 0.0160962i
\(617\) 1.38882e9 + 1.28864e9i 0.238039 + 0.220868i 0.790167 0.612891i \(-0.209994\pi\)
−0.552128 + 0.833759i \(0.686184\pi\)
\(618\) −3.33683e8 1.60693e8i −0.0568688 0.0273866i
\(619\) −5.15504e9 + 3.51465e9i −0.873604 + 0.595613i −0.914966 0.403531i \(-0.867783\pi\)
0.0413617 + 0.999144i \(0.486830\pi\)
\(620\) −1.16606e9 2.97107e9i −0.196494 0.500658i
\(621\) −2.98363e9 + 9.20329e8i −0.499948 + 0.154214i
\(622\) −2.42776e9 + 2.25263e9i −0.404519 + 0.375339i
\(623\) 1.80040e9 2.25764e9i 0.298306 0.374064i
\(624\) 9.72151e8 1.21904e9i 0.160172 0.200850i
\(625\) 4.38059e8 4.06460e8i 0.0717716 0.0665943i
\(626\) −3.70991e9 + 1.14435e9i −0.604439 + 0.186445i
\(627\) 4.06943e8 + 1.03687e9i 0.0659321 + 0.167992i
\(628\) −6.64452e8 + 4.53015e8i −0.107054 + 0.0729885i
\(629\) −5.48788e9 2.64283e9i −0.879281 0.423439i
\(630\) 5.02388e8 + 4.66148e8i 0.0800475 + 0.0742732i
\(631\) −4.72035e9 + 7.11479e8i −0.747949 + 0.112735i −0.511946 0.859017i \(-0.671075\pi\)
−0.236002 + 0.971752i \(0.575837\pi\)
\(632\) 7.21790e8 9.63162e9i 0.113737 1.51771i
\(633\) 9.62595e8 2.45265e9i 0.150845 0.384346i
\(634\) −4.92692e7 2.15862e8i −0.00767826 0.0336407i
\(635\) −3.18658e7 4.25219e8i −0.00493874 0.0659029i
\(636\) −3.18800e9 9.83367e8i −0.491381 0.151571i
\(637\) 9.07519e9 4.37038e9i 1.39113 0.669933i
\(638\) −4.57185e8 + 7.91868e8i −0.0696979 + 0.120720i
\(639\) 5.01832e9 + 8.69199e9i 0.760862 + 1.31785i
\(640\) −3.46878e9 2.36498e9i −0.523055 0.356613i
\(641\) 1.59699e9 6.99689e9i 0.239497 1.04931i −0.701972 0.712205i \(-0.747697\pi\)
0.941469 0.337100i \(-0.109446\pi\)
\(642\) 3.33719e8 + 5.03000e7i 0.0497746 + 0.00750231i
\(643\) 3.76960e9 + 4.72693e9i 0.559186 + 0.701198i 0.978407 0.206687i \(-0.0662681\pi\)
−0.419221 + 0.907884i \(0.637697\pi\)
\(644\) −1.63344e9 −0.240992
\(645\) 1.56366e9 + 4.94614e8i 0.229448 + 0.0725784i
\(646\) 4.21679e9 0.615416
\(647\) 3.80005e9 + 4.76511e9i 0.551600 + 0.691684i 0.976980 0.213331i \(-0.0684312\pi\)
−0.425381 + 0.905015i \(0.639860\pi\)
\(648\) 3.52282e9 + 5.30979e8i 0.508602 + 0.0766594i
\(649\) 9.04731e8 3.96389e9i 0.129916 0.569200i
\(650\) −2.91267e9 1.98583e9i −0.416001 0.283625i
\(651\) −5.62010e8 9.73430e8i −0.0798382 0.138284i
\(652\) 3.80945e9 6.59816e9i 0.538264 0.932301i
\(653\) 4.63649e9 2.23282e9i 0.651618 0.313803i −0.0787118 0.996897i \(-0.525081\pi\)
0.730330 + 0.683095i \(0.239366\pi\)
\(654\) 1.81307e9 + 5.59259e8i 0.253451 + 0.0781792i
\(655\) −3.75449e8 5.01001e9i −0.0522043 0.696617i
\(656\) −5.38749e8 2.36041e9i −0.0745114 0.326456i
\(657\) 2.48691e9 6.33655e9i 0.342123 0.871715i
\(658\) 2.21207e7 2.95180e8i 0.00302697 0.0403921i
\(659\) −1.05651e10 + 1.59244e9i −1.43806 + 0.216752i −0.821343 0.570435i \(-0.806775\pi\)
−0.616715 + 0.787187i \(0.711537\pi\)
\(660\) 3.17691e8 + 2.94774e8i 0.0430131 + 0.0399103i
\(661\) −1.04609e10 5.03770e9i −1.40885 0.678465i −0.433912 0.900955i \(-0.642867\pi\)
−0.974935 + 0.222491i \(0.928581\pi\)
\(662\) 2.03047e9 1.38435e9i 0.272015 0.185457i
\(663\) 1.55973e9 + 3.97412e9i 0.207851 + 0.529595i
\(664\) 3.09706e9 9.55317e8i 0.410546 0.126637i
\(665\) −2.30788e9 + 2.14140e9i −0.304325 + 0.282372i
\(666\) −2.27992e9 + 2.85894e9i −0.299062 + 0.375011i
\(667\) 3.40337e9 4.26770e9i 0.444088 0.556869i
\(668\) 3.65263e9 3.38915e9i 0.474120 0.439919i
\(669\) −6.12393e8 + 1.88898e8i −0.0790749 + 0.0243914i
\(670\) 1.58795e8 + 4.04602e8i 0.0203974 + 0.0519717i
\(671\) 3.21283e8 2.19047e8i 0.0410544 0.0279904i
\(672\) −1.08687e9 5.23408e8i −0.138161 0.0665346i
\(673\) −4.03488e8 3.74382e8i −0.0510244 0.0473437i 0.654248 0.756280i \(-0.272985\pi\)
−0.705273 + 0.708936i \(0.749176\pi\)
\(674\) −3.54828e9 + 5.34818e8i −0.446384 + 0.0672816i
\(675\) 2.35151e8 3.13787e9i 0.0294295 0.392710i
\(676\) −5.53243e9 + 1.40964e10i −0.688815 + 1.75507i
\(677\) 5.42692e8 + 2.37769e9i 0.0672191 + 0.294506i 0.997353 0.0727149i \(-0.0231663\pi\)
−0.930134 + 0.367221i \(0.880309\pi\)
\(678\) −9.06522e7 1.20967e9i −0.0111705 0.149061i
\(679\) 1.49956e9 + 4.62553e8i 0.183831 + 0.0567044i
\(680\) 3.38477e9 1.63002e9i 0.412808 0.198798i
\(681\) −7.68974e7 + 1.33190e8i −0.00933033 + 0.0161606i
\(682\) −6.55799e8 1.13588e9i −0.0791635 0.137115i
\(683\) −1.11862e10 7.62663e9i −1.34342 0.915926i −0.343685 0.939085i \(-0.611675\pi\)
−0.999732 + 0.0231594i \(0.992627\pi\)
\(684\) −1.94364e9 + 8.51563e9i −0.232230 + 1.01747i
\(685\) 9.18108e9 + 1.38383e9i 1.09138 + 0.164499i
\(686\) −1.86972e9 2.34455e9i −0.221127 0.277285i
\(687\) −3.89039e9 −0.457767
\(688\) 3.21503e9 + 2.30204e7i 0.376380 + 0.00269496i
\(689\) 2.86324e10 3.33496
\(690\) 4.67511e8 + 5.86240e8i 0.0541776 + 0.0679365i
\(691\) 3.36687e9 + 5.07474e8i 0.388198 + 0.0585114i 0.340242 0.940338i \(-0.389491\pi\)
0.0479560 + 0.998849i \(0.484729\pi\)
\(692\) 2.03162e8 8.90112e8i 0.0233062 0.102111i
\(693\) −8.02888e8 5.47400e8i −0.0916408 0.0624796i
\(694\) 3.13471e9 + 5.42948e9i 0.355991 + 0.616595i
\(695\) −4.89839e8 + 8.48426e8i −0.0553486 + 0.0958665i
\(696\) 2.32336e9 1.11887e9i 0.261206 0.125790i
\(697\) 6.33468e9 + 1.95399e9i 0.708615 + 0.218579i
\(698\) −3.28764e8 4.38705e9i −0.0365923 0.488290i
\(699\) 7.74052e8 + 3.39134e9i 0.0857235 + 0.375579i
\(700\) 6.01409e8 1.53237e9i 0.0662715 0.168857i
\(701\) 4.19893e8 5.60308e9i 0.0460389 0.614347i −0.925695 0.378270i \(-0.876519\pi\)
0.971734 0.236077i \(-0.0758618\pi\)
\(702\) 5.46677e9 8.23983e8i 0.596418 0.0898956i
\(703\) −1.23140e10 1.14257e10i −1.33677 1.24034i
\(704\) −2.80926e8 1.35287e8i −0.0303451 0.0146134i
\(705\) 3.87378e8 2.64110e8i 0.0416363 0.0283872i
\(706\) −5.43972e8 1.38602e9i −0.0581781 0.148236i
\(707\) −1.85315e9 + 5.71622e8i −0.197216 + 0.0608332i
\(708\) −3.67084e9 + 3.40604e9i −0.388731 + 0.360690i
\(709\) −5.16903e9 + 6.48176e9i −0.544687 + 0.683016i −0.975645 0.219356i \(-0.929604\pi\)
0.430957 + 0.902372i \(0.358176\pi\)
\(710\) 3.24161e9 4.06485e9i 0.339904 0.426227i
\(711\) −1.09813e10 + 1.01892e10i −1.14580 + 1.06315i
\(712\) −9.08061e9 + 2.80100e9i −0.942834 + 0.290826i
\(713\) 2.86060e9 + 7.28869e9i 0.295559 + 0.753071i
\(714\) 4.77392e8 3.25481e8i 0.0490831 0.0334643i
\(715\) −3.35106e9 1.61379e9i −0.342856 0.165111i
\(716\) −4.06044e9 3.76753e9i −0.413406 0.383585i
\(717\) −7.15057e9 + 1.07777e9i −0.724475 + 0.109197i
\(718\) −3.63661e8 + 4.85271e9i −0.0366658 + 0.489271i
\(719\) 8.57823e8 2.18570e9i 0.0860689 0.219300i −0.881359 0.472448i \(-0.843371\pi\)
0.967428 + 0.253148i \(0.0814658\pi\)
\(720\) 4.73531e8 + 2.07467e9i 0.0472807 + 0.207150i
\(721\) 1.10920e8 + 1.48012e9i 0.0110214 + 0.147070i
\(722\) 6.53176e9 + 2.01478e9i 0.645877 + 0.199227i
\(723\) 4.18369e9 2.01476e9i 0.411695 0.198262i
\(724\) 3.43498e9 5.94956e9i 0.336387 0.582639i
\(725\) 2.75055e9 + 4.76409e9i 0.268063 + 0.464298i
\(726\) −1.34065e9 9.14039e8i −0.130028 0.0886516i
\(727\) −6.82632e8 + 2.99080e9i −0.0658895 + 0.288681i −0.997128 0.0757284i \(-0.975872\pi\)
0.931239 + 0.364409i \(0.118729\pi\)
\(728\) 6.54868e9 + 9.87054e8i 0.629062 + 0.0948159i
\(729\) −1.79466e9 2.25044e9i −0.171568 0.215140i
\(730\) −3.52619e9 −0.335487
\(731\) −4.45609e9 + 7.59212e9i −0.421933 + 0.718873i
\(732\) −4.78922e8 −0.0451311
\(733\) −6.59989e9 8.27601e9i −0.618975 0.776170i 0.369225 0.929340i \(-0.379623\pi\)
−0.988200 + 0.153170i \(0.951052\pi\)
\(734\) 6.26760e9 + 9.44688e8i 0.585012 + 0.0881764i
\(735\) 4.80465e8 2.10506e9i 0.0446330 0.195550i
\(736\) 6.94315e9 + 4.73376e9i 0.641925 + 0.437657i
\(737\) −3.08143e8 5.33719e8i −0.0283541 0.0491108i
\(738\) 1.98988e9 3.44657e9i 0.182234 0.315639i
\(739\) −7.61929e9 + 3.66926e9i −0.694479 + 0.334443i −0.747604 0.664144i \(-0.768796\pi\)
0.0531254 + 0.998588i \(0.483082\pi\)
\(740\) −6.24545e9 1.92647e9i −0.566569 0.174763i
\(741\) 8.79864e8 + 1.17410e10i 0.0794423 + 1.06008i
\(742\) −8.62279e8 3.77789e9i −0.0774880 0.339497i
\(743\) −8.01267e9 + 2.04159e10i −0.716665 + 1.82603i −0.176874 + 0.984234i \(0.556598\pi\)
−0.539791 + 0.841799i \(0.681497\pi\)
\(744\) −2.76427e8 + 3.68866e9i −0.0246079 + 0.328370i
\(745\) 3.24787e8 4.89538e7i 0.0287774 0.00433750i
\(746\) 4.25551e8 + 3.94854e8i 0.0375289 + 0.0348217i
\(747\) −4.52897e9 2.18104e9i −0.397537 0.191444i
\(748\) −1.92206e9 + 1.31044e9i −0.167924 + 0.114488i
\(749\) −4.94135e8 1.25904e9i −0.0429694 0.109484i
\(750\) −1.98152e9 + 6.11217e8i −0.171508 + 0.0529031i
\(751\) −4.21818e9 + 3.91390e9i −0.363401 + 0.337187i −0.840647 0.541583i \(-0.817825\pi\)
0.477247 + 0.878769i