Properties

Label 43.8.g.a.9.12
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 9.12
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23932 - 1.55406i) q^{2} +(45.7182 + 6.89092i) q^{3} +(27.6035 - 120.939i) q^{4} +(82.5181 + 56.2599i) q^{5} +(-45.9507 - 79.5890i) q^{6} +(577.502 - 1000.26i) q^{7} +(-451.388 + 217.377i) q^{8} +(-47.1653 - 14.5486i) q^{9} +O(q^{10})\) \(q+(-1.23932 - 1.55406i) q^{2} +(45.7182 + 6.89092i) q^{3} +(27.6035 - 120.939i) q^{4} +(82.5181 + 56.2599i) q^{5} +(-45.9507 - 79.5890i) q^{6} +(577.502 - 1000.26i) q^{7} +(-451.388 + 217.377i) q^{8} +(-47.1653 - 14.5486i) q^{9} +(-14.8352 - 197.962i) q^{10} +(-55.8335 - 244.623i) q^{11} +(2095.36 - 5338.90i) q^{12} +(-226.493 + 3022.34i) q^{13} +(-2270.18 + 342.175i) q^{14} +(3384.90 + 3140.73i) q^{15} +(-13408.6 - 6457.24i) q^{16} +(7974.55 - 5436.95i) q^{17} +(35.8436 + 91.3280i) q^{18} +(7826.69 - 2414.21i) q^{19} +(9081.79 - 8426.67i) q^{20} +(33295.1 - 41750.8i) q^{21} +(-310.963 + 389.935i) q^{22} +(58069.7 - 53880.8i) q^{23} +(-22134.6 + 6827.61i) q^{24} +(-24898.2 - 63439.6i) q^{25} +(4977.60 - 3393.67i) q^{26} +(-93157.7 - 44862.4i) q^{27} +(-105030. - 97453.2i) q^{28} +(96328.3 - 14519.1i) q^{29} +(685.901 - 9152.71i) q^{30} +(2954.01 - 7526.70i) q^{31} +(20852.5 + 91360.8i) q^{32} +(-866.936 - 11568.5i) q^{33} +(-18332.4 - 5654.79i) q^{34} +(103929. - 50049.6i) q^{35} +(-3061.41 + 5302.52i) q^{36} +(204571. + 354327. i) q^{37} +(-13451.6 - 9171.16i) q^{38} +(-31181.6 + 136615. i) q^{39} +(-49477.2 - 7457.49i) q^{40} +(421073. + 528009. i) q^{41} -106147. q^{42} +(-494963. + 163799. i) q^{43} -31125.6 q^{44} +(-3073.49 - 3854.03i) q^{45} +(-155701. - 23468.2i) q^{46} +(-174477. + 764433. i) q^{47} +(-568521. - 387611. i) q^{48} +(-255247. - 442100. i) q^{49} +(-67732.1 + 117315. i) q^{50} +(402048. - 193616. i) q^{51} +(359266. + 110819. i) q^{52} +(-14242.0 - 190046. i) q^{53} +(45733.5 + 200372. i) q^{54} +(9155.16 - 23327.0i) q^{55} +(-43243.3 + 577042. i) q^{56} +(374459. - 56440.6i) q^{57} +(-141945. - 131706. i) q^{58} +(-934919. - 450233. i) q^{59} +(473271. - 322671. i) q^{60} +(849829. + 2.16533e6i) q^{61} +(-15357.9 + 4737.29i) q^{62} +(-41790.5 + 38775.9i) q^{63} +(-1.07158e6 + 1.34372e6i) q^{64} +(-188726. + 236655. i) q^{65} +(-16903.7 + 15684.3i) q^{66} +(241804. - 74586.8i) q^{67} +(-437413. - 1.11451e6i) q^{68} +(3.02613e6 - 2.06318e6i) q^{69} +(-206582. - 99484.6i) q^{70} +(580322. + 538461. i) q^{71} +(24452.3 - 3685.60i) q^{72} +(183380. - 2.44704e6i) q^{73} +(297116. - 757040. i) q^{74} +(-701145. - 3.07192e6i) q^{75} +(-75928.2 - 1.01319e6i) q^{76} +(-276931. - 85421.9i) q^{77} +(250952. - 120852. i) q^{78} +(-1.19339e6 + 2.06702e6i) q^{79} +(-743168. - 1.28721e6i) q^{80} +(-3.86067e6 - 2.63216e6i) q^{81} +(298713. - 1.30875e6i) q^{82} +(3.42392e6 + 516072. i) q^{83} +(-4.13023e6 - 5.17914e6i) q^{84} +963927. q^{85} +(867972. + 566203. i) q^{86} +4.50401e6 q^{87} +(78377.8 + 98282.7i) q^{88} +(7.37821e6 + 1.11209e6i) q^{89} +(-2180.36 + 9552.78i) q^{90} +(2.89234e6 + 1.97196e6i) q^{91} +(-4.91335e6 - 8.51017e6i) q^{92} +(186918. - 323752. i) q^{93} +(1.40421e6 - 676231. i) q^{94} +(781667. + 241112. i) q^{95} +(323780. + 4.32055e6i) q^{96} +(2.92265e6 + 1.28049e7i) q^{97} +(-370718. + 944573. i) q^{98} +(-925.504 + 12350.0i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23932 1.55406i −0.109542 0.137361i 0.724038 0.689760i \(-0.242284\pi\)
−0.833580 + 0.552399i \(0.813712\pi\)
\(3\) 45.7182 + 6.89092i 0.977609 + 0.147351i 0.618363 0.785892i \(-0.287796\pi\)
0.359245 + 0.933243i \(0.383034\pi\)
\(4\) 27.6035 120.939i 0.215652 0.944834i
\(5\) 82.5181 + 56.2599i 0.295226 + 0.201282i 0.701870 0.712305i \(-0.252349\pi\)
−0.406644 + 0.913587i \(0.633301\pi\)
\(6\) −45.9507 79.5890i −0.0868486 0.150426i
\(7\) 577.502 1000.26i 0.636371 1.10223i −0.349851 0.936805i \(-0.613768\pi\)
0.986223 0.165422i \(-0.0528987\pi\)
\(8\) −451.388 + 217.377i −0.311698 + 0.150106i
\(9\) −47.1653 14.5486i −0.0215662 0.00665229i
\(10\) −14.8352 197.962i −0.00469131 0.0626012i
\(11\) −55.8335 244.623i −0.0126480 0.0554143i 0.968210 0.250138i \(-0.0804761\pi\)
−0.980858 + 0.194724i \(0.937619\pi\)
\(12\) 2095.36 5338.90i 0.350046 0.891902i
\(13\) −226.493 + 3022.34i −0.0285926 + 0.381541i 0.964490 + 0.264121i \(0.0850817\pi\)
−0.993082 + 0.117421i \(0.962537\pi\)
\(14\) −2270.18 + 342.175i −0.221112 + 0.0333273i
\(15\) 3384.90 + 3140.73i 0.258956 + 0.240276i
\(16\) −13408.6 6457.24i −0.818396 0.394119i
\(17\) 7974.55 5436.95i 0.393672 0.268401i −0.350265 0.936651i \(-0.613908\pi\)
0.743937 + 0.668249i \(0.232956\pi\)
\(18\) 35.8436 + 91.3280i 0.00144863 + 0.00369105i
\(19\) 7826.69 2414.21i 0.261782 0.0807492i −0.161086 0.986940i \(-0.551500\pi\)
0.422868 + 0.906191i \(0.361023\pi\)
\(20\) 9081.79 8426.67i 0.253844 0.235533i
\(21\) 33295.1 41750.8i 0.784536 0.983778i
\(22\) −310.963 + 389.935i −0.00622628 + 0.00780751i
\(23\) 58069.7 53880.8i 0.995181 0.923393i −0.00188093 0.999998i \(-0.500599\pi\)
0.997061 + 0.0766056i \(0.0244082\pi\)
\(24\) −22134.6 + 6827.61i −0.326837 + 0.100816i
\(25\) −24898.2 63439.6i −0.318697 0.812027i
\(26\) 4977.60 3393.67i 0.0555409 0.0378672i
\(27\) −93157.7 44862.4i −0.910847 0.438641i
\(28\) −105030. 97453.2i −0.904188 0.838964i
\(29\) 96328.3 14519.1i 0.733433 0.110547i 0.228303 0.973590i \(-0.426682\pi\)
0.505131 + 0.863043i \(0.331444\pi\)
\(30\) 685.901 9152.71i 0.00463807 0.0618907i
\(31\) 2954.01 7526.70i 0.0178093 0.0453773i −0.921693 0.387921i \(-0.873193\pi\)
0.939502 + 0.342544i \(0.111289\pi\)
\(32\) 20852.5 + 91360.8i 0.112495 + 0.492873i
\(33\) −866.936 11568.5i −0.00419941 0.0560372i
\(34\) −18332.4 5654.79i −0.0799913 0.0246741i
\(35\) 103929. 50049.6i 0.409731 0.197316i
\(36\) −3061.41 + 5302.52i −0.0109361 + 0.0189419i
\(37\) 204571. + 354327.i 0.663953 + 1.15000i 0.979568 + 0.201113i \(0.0644558\pi\)
−0.315615 + 0.948887i \(0.602211\pi\)
\(38\) −13451.6 9171.16i −0.0397679 0.0271133i
\(39\) −31181.6 + 136615.i −0.0841728 + 0.368785i
\(40\) −49477.2 7457.49i −0.122235 0.0184240i
\(41\) 421073. + 528009.i 0.954144 + 1.19646i 0.980443 + 0.196805i \(0.0630565\pi\)
−0.0262987 + 0.999654i \(0.508372\pi\)
\(42\) −106147. −0.221072
\(43\) −494963. + 163799.i −0.949365 + 0.314175i
\(44\) −31125.6 −0.0550849
\(45\) −3073.49 3854.03i −0.00502791 0.00630480i
\(46\) −155701. 23468.2i −0.235852 0.0355489i
\(47\) −174477. + 764433.i −0.245129 + 1.07398i 0.691146 + 0.722715i \(0.257106\pi\)
−0.936275 + 0.351267i \(0.885751\pi\)
\(48\) −568521. 387611.i −0.741997 0.505885i
\(49\) −255247. 442100.i −0.309937 0.536827i
\(50\) −67732.1 + 117315.i −0.0766301 + 0.132727i
\(51\) 402048. 193616.i 0.424407 0.204383i
\(52\) 359266. + 110819.i 0.354327 + 0.109296i
\(53\) −14242.0 190046.i −0.0131403 0.175345i −0.999912 0.0132319i \(-0.995788\pi\)
0.986772 0.162113i \(-0.0518310\pi\)
\(54\) 45733.5 + 200372.i 0.0395236 + 0.173164i
\(55\) 9155.16 23327.0i 0.00741988 0.0189055i
\(56\) −43243.3 + 577042.i −0.0329049 + 0.439086i
\(57\) 374459. 56440.6i 0.267819 0.0403673i
\(58\) −141945. 131706.i −0.0955264 0.0886355i
\(59\) −934919. 450233.i −0.592641 0.285401i 0.113425 0.993547i \(-0.463818\pi\)
−0.706067 + 0.708146i \(0.749532\pi\)
\(60\) 473271. 322671.i 0.282866 0.192855i
\(61\) 849829. + 2.16533e6i 0.479377 + 1.22143i 0.942221 + 0.334993i \(0.108734\pi\)
−0.462844 + 0.886440i \(0.653171\pi\)
\(62\) −15357.9 + 4737.29i −0.00818393 + 0.00252441i
\(63\) −41790.5 + 38775.9i −0.0210564 + 0.0195375i
\(64\) −1.07158e6 + 1.34372e6i −0.510969 + 0.640735i
\(65\) −188726. + 236655.i −0.0852385 + 0.106886i
\(66\) −16903.7 + 15684.3i −0.00723731 + 0.00671524i
\(67\) 241804. 74586.8i 0.0982205 0.0302970i −0.245255 0.969459i \(-0.578872\pi\)
0.343476 + 0.939161i \(0.388396\pi\)
\(68\) −437413. 1.11451e6i −0.168698 0.429836i
\(69\) 3.02613e6 2.06318e6i 1.10896 0.756076i
\(70\) −206582. 99484.6i −0.0719862 0.0346667i
\(71\) 580322. + 538461.i 0.192427 + 0.178546i 0.770502 0.637438i \(-0.220006\pi\)
−0.578075 + 0.815983i \(0.696196\pi\)
\(72\) 24452.3 3685.60i 0.00772070 0.00116371i
\(73\) 183380. 2.44704e6i 0.0551725 0.736225i −0.899187 0.437565i \(-0.855841\pi\)
0.954359 0.298661i \(-0.0965399\pi\)
\(74\) 297116. 757040.i 0.0852345 0.217174i
\(75\) −701145. 3.07192e6i −0.191908 0.840805i
\(76\) −75928.2 1.01319e6i −0.0198406 0.264755i
\(77\) −276931. 85421.9i −0.0691280 0.0213232i
\(78\) 250952. 120852.i 0.0598770 0.0288353i
\(79\) −1.19339e6 + 2.06702e6i −0.272326 + 0.471682i −0.969457 0.245262i \(-0.921126\pi\)
0.697131 + 0.716944i \(0.254460\pi\)
\(80\) −743168. 1.28721e6i −0.162283 0.281082i
\(81\) −3.86067e6 2.63216e6i −0.807171 0.550320i
\(82\) 298713. 1.30875e6i 0.0598281 0.262124i
\(83\) 3.42392e6 + 516072.i 0.657279 + 0.0990689i 0.469209 0.883087i \(-0.344539\pi\)
0.188069 + 0.982156i \(0.439777\pi\)
\(84\) −4.13023e6 5.17914e6i −0.760320 0.953411i
\(85\) 963927. 0.170246
\(86\) 867972. + 566203.i 0.147150 + 0.0959904i
\(87\) 4.50401e6 0.733300
\(88\) 78377.8 + 98282.7i 0.0122604 + 0.0153740i
\(89\) 7.37821e6 + 1.11209e6i 1.10939 + 0.167214i 0.678080 0.734988i \(-0.262812\pi\)
0.431314 + 0.902202i \(0.358050\pi\)
\(90\) −2180.36 + 9552.78i −0.000315267 + 0.00138128i
\(91\) 2.89234e6 + 1.97196e6i 0.402350 + 0.274318i
\(92\) −4.91335e6 8.51017e6i −0.657840 1.13941i
\(93\) 186918. 323752.i 0.0240969 0.0417370i
\(94\) 1.40421e6 676231.i 0.174375 0.0839746i
\(95\) 781667. + 241112.i 0.0935382 + 0.0288527i
\(96\) 323780. + 4.32055e6i 0.0373509 + 0.498413i
\(97\) 2.92265e6 + 1.28049e7i 0.325143 + 1.42455i 0.828268 + 0.560333i \(0.189327\pi\)
−0.503124 + 0.864214i \(0.667816\pi\)
\(98\) −370718. + 944573.i −0.0397880 + 0.101378i
\(99\) −925.504 + 12350.0i −9.58639e−5 + 0.00127921i
\(100\) −8.35959e6 + 1.26000e6i −0.835959 + 0.126000i
\(101\) −3.06917e6 2.84777e6i −0.296412 0.275030i 0.517920 0.855429i \(-0.326706\pi\)
−0.814333 + 0.580398i \(0.802897\pi\)
\(102\) −799158. 384854.i −0.0745645 0.0359084i
\(103\) −5.31094e6 + 3.62094e6i −0.478896 + 0.326506i −0.778593 0.627529i \(-0.784067\pi\)
0.299698 + 0.954034i \(0.403114\pi\)
\(104\) −554750. 1.41348e6i −0.0483594 0.123218i
\(105\) 5.09634e6 1.57201e6i 0.429632 0.132524i
\(106\) −277693. + 257662.i −0.0226462 + 0.0210126i
\(107\) −8.20981e6 + 1.02948e7i −0.647873 + 0.812407i −0.991963 0.126530i \(-0.959616\pi\)
0.344090 + 0.938937i \(0.388187\pi\)
\(108\) −7.99708e6 + 1.00280e7i −0.610869 + 0.766006i
\(109\) −846148. + 785110.i −0.0625826 + 0.0580681i −0.710844 0.703350i \(-0.751687\pi\)
0.648261 + 0.761418i \(0.275496\pi\)
\(110\) −47597.7 + 14682.0i −0.00340967 + 0.00105174i
\(111\) 6.91097e6 + 1.76089e7i 0.479633 + 1.22208i
\(112\) −1.42024e7 + 9.68306e6i −0.955212 + 0.651253i
\(113\) −2.19999e6 1.05946e6i −0.143432 0.0690732i 0.360791 0.932647i \(-0.382507\pi\)
−0.504223 + 0.863573i \(0.668221\pi\)
\(114\) −551787. 511983.i −0.0348822 0.0323660i
\(115\) 7.82312e6 1.17915e6i 0.479665 0.0722978i
\(116\) 903068. 1.20506e7i 0.0537177 0.716813i
\(117\) 54653.3 139254.i 0.00315476 0.00803819i
\(118\) 458976. + 2.01090e6i 0.0257160 + 0.112669i
\(119\) −833067. 1.11165e7i −0.0453174 0.604719i
\(120\) −2.21062e6 681887.i −0.116783 0.0360228i
\(121\) 1.75006e7 8.42785e6i 0.898058 0.432482i
\(122\) 2.31184e6 4.00423e6i 0.115265 0.199645i
\(123\) 1.56123e7 + 2.70412e7i 0.756480 + 1.31026i
\(124\) −828729. 565018.i −0.0390334 0.0266125i
\(125\) 3.25077e6 1.42426e7i 0.148868 0.652233i
\(126\) 112052. + 16889.1i 0.00499025 + 0.000752159i
\(127\) 4.44667e6 + 5.57594e6i 0.192629 + 0.241549i 0.868761 0.495231i \(-0.164917\pi\)
−0.676132 + 0.736780i \(0.736345\pi\)
\(128\) 1.54112e7 0.649533
\(129\) −2.37576e7 + 4.07785e6i −0.974402 + 0.167250i
\(130\) 601669. 0.0240191
\(131\) 2.12835e6 + 2.66887e6i 0.0827169 + 0.103724i 0.821468 0.570255i \(-0.193155\pi\)
−0.738751 + 0.673978i \(0.764584\pi\)
\(132\) −1.42301e6 214484.i −0.0538515 0.00811681i
\(133\) 2.10508e6 9.22297e6i 0.0775869 0.339930i
\(134\) −415586. 283342.i −0.0149209 0.0101729i
\(135\) −5.16324e6 8.94300e6i −0.180615 0.312835i
\(136\) −2.41774e6 + 4.18765e6i −0.0824184 + 0.142753i
\(137\) −2.30569e7 + 1.11036e7i −0.766089 + 0.368929i −0.775763 0.631024i \(-0.782635\pi\)
0.00967393 + 0.999953i \(0.496921\pi\)
\(138\) −6.95666e6 2.14585e6i −0.225333 0.0695059i
\(139\) −1.84888e6 2.46715e7i −0.0583923 0.779191i −0.947145 0.320805i \(-0.896047\pi\)
0.888753 0.458387i \(-0.151572\pi\)
\(140\) −3.18414e6 1.39506e7i −0.0980716 0.429680i
\(141\) −1.32444e7 + 3.37462e7i −0.397893 + 1.01381i
\(142\) 117594. 1.56918e6i 0.00344648 0.0459901i
\(143\) 751979. 113343.i 0.0215045 0.00324128i
\(144\) 538476. + 499633.i 0.0150279 + 0.0139438i
\(145\) 8.76567e6 + 4.22132e6i 0.238780 + 0.114990i
\(146\) −4.03011e6 + 2.74768e6i −0.107172 + 0.0730688i
\(147\) −8.62295e6 2.19709e7i −0.223895 0.570476i
\(148\) 4.84987e7 1.49599e7i 1.22974 0.379325i
\(149\) 4.67039e7 4.33349e7i 1.15665 1.07321i 0.160367 0.987057i \(-0.448732\pi\)
0.996282 0.0861558i \(-0.0274583\pi\)
\(150\) −3.90500e6 + 4.89672e6i −0.0944717 + 0.118464i
\(151\) −1.93060e7 + 2.42090e7i −0.456324 + 0.572212i −0.955763 0.294137i \(-0.904968\pi\)
0.499440 + 0.866349i \(0.333539\pi\)
\(152\) −3.00808e6 + 2.79109e6i −0.0694762 + 0.0644645i
\(153\) −455221. + 140417.i −0.0102755 + 0.00316957i
\(154\) 210456. + 536233.i 0.00464343 + 0.0118313i
\(155\) 667211. 454897.i 0.0143914 0.00981187i
\(156\) 1.56614e7 + 7.54212e6i 0.330289 + 0.159059i
\(157\) −4.05205e7 3.75975e7i −0.835653 0.775372i 0.141042 0.990004i \(-0.454955\pi\)
−0.976695 + 0.214631i \(0.931145\pi\)
\(158\) 4.69127e6 707095.i 0.0946217 0.0142619i
\(159\) 658474. 8.78672e6i 0.0129912 0.173355i
\(160\) −3.41924e6 + 8.71208e6i −0.0659948 + 0.168152i
\(161\) −2.03596e7 8.92012e7i −0.384484 1.68454i
\(162\) 694077. + 9.26182e6i 0.0128264 + 0.171157i
\(163\) −3.88328e7 1.19783e7i −0.702331 0.216640i −0.0770352 0.997028i \(-0.524545\pi\)
−0.625296 + 0.780388i \(0.715022\pi\)
\(164\) 7.54799e7 3.63492e7i 1.33622 0.643489i
\(165\) 579302. 1.00338e6i 0.0100395 0.0173889i
\(166\) −3.44133e6 5.96055e6i −0.0583912 0.101137i
\(167\) −2.23540e7 1.52407e7i −0.371405 0.253219i 0.363205 0.931709i \(-0.381682\pi\)
−0.734610 + 0.678490i \(0.762635\pi\)
\(168\) −5.95336e6 + 2.60834e7i −0.0968678 + 0.424406i
\(169\) 5.29644e7 + 7.98310e6i 0.844075 + 0.127224i
\(170\) −1.19462e6 1.49800e6i −0.0186491 0.0233852i
\(171\) −404271. −0.00618282
\(172\) 6.14694e6 + 6.43817e7i 0.0921106 + 0.964745i
\(173\) 1.10528e8 1.62297 0.811487 0.584371i \(-0.198659\pi\)
0.811487 + 0.584371i \(0.198659\pi\)
\(174\) −5.58192e6 6.99950e6i −0.0803269 0.100727i
\(175\) −7.78351e7 1.17318e7i −1.09785 0.165474i
\(176\) −830938. + 3.64058e6i −0.0114888 + 0.0503357i
\(177\) −3.96403e7 2.70263e7i −0.537317 0.366337i
\(178\) −7.41573e6 1.28444e7i −0.0985561 0.170704i
\(179\) 3.74166e7 6.48075e7i 0.487617 0.844577i −0.512282 0.858817i \(-0.671200\pi\)
0.999899 + 0.0142402i \(0.00453296\pi\)
\(180\) −550941. + 265319.i −0.00704128 + 0.00339090i
\(181\) −1.07661e7 3.32091e6i −0.134954 0.0416277i 0.226543 0.974001i \(-0.427258\pi\)
−0.361496 + 0.932374i \(0.617734\pi\)
\(182\) −519988. 6.93876e6i −0.00639357 0.0853163i
\(183\) 2.39316e7 + 1.04851e8i 0.288664 + 1.26472i
\(184\) −1.44995e7 + 3.69441e7i −0.171589 + 0.437203i
\(185\) −3.05360e6 + 4.07475e7i −0.0354578 + 0.473151i
\(186\) −734782. + 110751.i −0.00837265 + 0.00126197i
\(187\) −1.77525e6 1.64719e6i −0.0198524 0.0184204i
\(188\) 8.76335e7 + 4.22021e7i 0.961873 + 0.463213i
\(189\) −9.86730e7 + 6.72741e7i −1.06312 + 0.724822i
\(190\) −594034. 1.51357e6i −0.00628310 0.0160091i
\(191\) −5.32943e7 + 1.64391e7i −0.553432 + 0.170711i −0.558842 0.829274i \(-0.688754\pi\)
0.00541006 + 0.999985i \(0.498278\pi\)
\(192\) −5.82502e7 + 5.40482e7i −0.593940 + 0.551096i
\(193\) −1.05527e8 + 1.32327e8i −1.05661 + 1.32494i −0.113103 + 0.993583i \(0.536079\pi\)
−0.943504 + 0.331361i \(0.892492\pi\)
\(194\) 1.62776e7 2.04114e7i 0.160060 0.200709i
\(195\) −1.02590e7 + 9.51897e6i −0.0990796 + 0.0919324i
\(196\) −6.05127e7 + 1.86657e7i −0.574051 + 0.177071i
\(197\) 3.34810e7 + 8.53083e7i 0.312009 + 0.794986i 0.997744 + 0.0671347i \(0.0213857\pi\)
−0.685735 + 0.727851i \(0.740519\pi\)
\(198\) 20339.6 13867.3i 0.000186215 0.000126959i
\(199\) 4.35424e7 + 2.09689e7i 0.391676 + 0.188621i 0.619348 0.785117i \(-0.287397\pi\)
−0.227672 + 0.973738i \(0.573111\pi\)
\(200\) 2.50290e7 + 2.32235e7i 0.221227 + 0.205269i
\(201\) 1.15688e7 1.74372e6i 0.100486 0.0151458i
\(202\) −621923. + 8.29899e6i −0.00530893 + 0.0708427i
\(203\) 4.11068e7 1.04738e8i 0.344888 0.878760i
\(204\) −1.23178e7 5.39677e7i −0.101584 0.445070i
\(205\) 5.04043e6 + 6.72598e7i 0.0408629 + 0.545277i
\(206\) 1.22091e7 + 3.76601e6i 0.0973081 + 0.0300156i
\(207\) −3.52276e6 + 1.69647e6i −0.0276049 + 0.0132938i
\(208\) 2.25529e7 3.90628e7i 0.173773 0.300983i
\(209\) −1.02756e6 1.77979e6i −0.00778568 0.0134852i
\(210\) −8.75902e6 5.97180e6i −0.0652661 0.0444977i
\(211\) −1.01237e7 + 4.43547e7i −0.0741907 + 0.325051i −0.998381 0.0568819i \(-0.981884\pi\)
0.924190 + 0.381932i \(0.124741\pi\)
\(212\) −2.33771e7 3.52353e6i −0.168506 0.0253982i
\(213\) 2.28208e7 + 2.86164e7i 0.161809 + 0.202902i
\(214\) 2.61733e7 0.182562
\(215\) −5.00587e7 1.43302e7i −0.343515 0.0983371i
\(216\) 5.18022e7 0.349752
\(217\) −5.82274e6 7.30148e6i −0.0386828 0.0485067i
\(218\) 2.26876e6 + 341960.i 0.0148317 + 0.00223552i
\(219\) 2.52462e7 1.10611e8i 0.162420 0.711611i
\(220\) −2.56842e6 1.75112e6i −0.0162625 0.0110876i
\(221\) 1.46261e7 + 2.53332e7i 0.0911500 + 0.157876i
\(222\) 1.88003e7 3.25631e7i 0.115327 0.199752i
\(223\) 1.61083e8 7.75733e7i 0.972707 0.468431i 0.121116 0.992638i \(-0.461353\pi\)
0.851591 + 0.524207i \(0.175638\pi\)
\(224\) 1.03427e8 + 3.19031e7i 0.614847 + 0.189655i
\(225\) 251376. + 3.35438e6i 0.00147124 + 0.0196324i
\(226\) 1.08003e6 + 4.73193e6i 0.00622382 + 0.0272683i
\(227\) 1.01750e8 2.59255e8i 0.577356 1.47108i −0.281855 0.959457i \(-0.590950\pi\)
0.859211 0.511622i \(-0.170955\pi\)
\(228\) 3.51051e6 4.68445e7i 0.0196155 0.261750i
\(229\) −3.39440e8 + 5.11624e7i −1.86784 + 0.281531i −0.982895 0.184167i \(-0.941041\pi\)
−0.884943 + 0.465699i \(0.845803\pi\)
\(230\) −1.15278e7 1.06963e7i −0.0624742 0.0579675i
\(231\) −1.20722e7 5.81365e6i −0.0644382 0.0310318i
\(232\) −4.03253e7 + 2.74933e7i −0.212016 + 0.144550i
\(233\) −7.58303e7 1.93212e8i −0.392733 1.00067i −0.981346 0.192252i \(-0.938421\pi\)
0.588613 0.808415i \(-0.299674\pi\)
\(234\) −284143. + 87646.4i −0.00144971 + 0.000447176i
\(235\) −5.74044e7 + 5.32635e7i −0.288541 + 0.267727i
\(236\) −8.02577e7 + 1.00640e8i −0.397461 + 0.498401i
\(237\) −6.88035e7 + 8.62768e7i −0.335731 + 0.420993i
\(238\) −1.62433e7 + 1.50716e7i −0.0781006 + 0.0724668i
\(239\) −5.26934e7 + 1.62538e7i −0.249669 + 0.0770126i −0.417063 0.908877i \(-0.636941\pi\)
0.167395 + 0.985890i \(0.446465\pi\)
\(240\) −2.51063e7 6.39699e7i −0.117231 0.298701i
\(241\) −4.34956e7 + 2.96548e7i −0.200164 + 0.136469i −0.659254 0.751920i \(-0.729128\pi\)
0.459090 + 0.888390i \(0.348175\pi\)
\(242\) −3.47863e7 1.67522e7i −0.157781 0.0759833i
\(243\) 7.39968e6 + 6.86590e6i 0.0330819 + 0.0306955i
\(244\) 2.85331e8 4.30067e7i 1.25743 0.189527i
\(245\) 3.81004e6 5.08414e7i 0.0165519 0.220870i
\(246\) 2.26751e7 5.77752e7i 0.0971127 0.247439i
\(247\) 5.52388e6 + 2.42017e7i 0.0233241 + 0.102190i
\(248\) 302726. + 4.03959e6i 0.00126028 + 0.0168173i
\(249\) 1.52979e8 + 4.71878e7i 0.627964 + 0.193701i
\(250\) −2.61626e7 + 1.25992e7i −0.105899 + 0.0509981i
\(251\) 2.07573e8 3.59526e8i 0.828538 1.43507i −0.0706479 0.997501i \(-0.522507\pi\)
0.899185 0.437568i \(-0.144160\pi\)
\(252\) 3.53595e6 + 6.12444e6i 0.0139189 + 0.0241082i
\(253\) −1.64227e7 1.11968e7i −0.0637562 0.0434682i
\(254\) 3.15450e6 1.38208e7i 0.0120785 0.0529193i
\(255\) 4.40690e7 + 6.64234e6i 0.166434 + 0.0250859i
\(256\) 1.18063e8 + 1.48046e8i 0.439818 + 0.551514i
\(257\) −2.61123e8 −0.959575 −0.479787 0.877385i \(-0.659286\pi\)
−0.479787 + 0.877385i \(0.659286\pi\)
\(258\) 3.57805e7 + 3.18669e7i 0.129711 + 0.115524i
\(259\) 4.72560e8 1.69008
\(260\) 2.34113e7 + 2.93568e7i 0.0826074 + 0.103586i
\(261\) −4.75458e6 716638.i −0.0165528 0.00249493i
\(262\) 1.50987e6 6.61518e6i 0.00518664 0.0227241i
\(263\) −3.51411e8 2.39588e8i −1.19116 0.812121i −0.205140 0.978733i \(-0.565765\pi\)
−0.986022 + 0.166612i \(0.946717\pi\)
\(264\) 2.90604e6 + 5.03341e6i 0.00972048 + 0.0168364i
\(265\) 9.51676e6 1.64835e7i 0.0314144 0.0544113i
\(266\) −1.69419e7 + 8.15880e6i −0.0551921 + 0.0265791i
\(267\) 3.29655e8 + 1.01685e8i 1.05991 + 0.326940i
\(268\) −2.34579e6 3.13024e7i −0.00744419 0.0993358i
\(269\) 2.28916e7 + 1.00295e8i 0.0717041 + 0.314156i 0.998043 0.0625356i \(-0.0199187\pi\)
−0.926339 + 0.376692i \(0.877062\pi\)
\(270\) −7.49904e6 + 1.91072e7i −0.0231864 + 0.0590779i
\(271\) 1.36056e7 1.81554e8i 0.0415265 0.554133i −0.937177 0.348854i \(-0.886571\pi\)
0.978704 0.205279i \(-0.0658100\pi\)
\(272\) −1.42035e8 + 2.14084e7i −0.427962 + 0.0645048i
\(273\) 1.18644e8 + 1.10085e8i 0.352920 + 0.327462i
\(274\) 4.58307e7 + 2.20709e7i 0.134595 + 0.0648176i
\(275\) −1.41286e7 + 9.63272e6i −0.0409671 + 0.0279309i
\(276\) −1.65987e8 4.22928e8i −0.475217 1.21083i
\(277\) −3.38263e8 + 1.04340e8i −0.956259 + 0.294967i −0.733334 0.679869i \(-0.762037\pi\)
−0.222925 + 0.974836i \(0.571561\pi\)
\(278\) −3.60497e7 + 3.34492e7i −0.100634 + 0.0933747i
\(279\) −248829. + 312022.i −0.000685942 + 0.000860144i
\(280\) −3.60327e7 + 4.51836e7i −0.0980942 + 0.123006i
\(281\) −4.79355e8 + 4.44776e8i −1.28880 + 1.19583i −0.320159 + 0.947364i \(0.603736\pi\)
−0.968640 + 0.248467i \(0.920073\pi\)
\(282\) 6.88578e7 2.12398e7i 0.182844 0.0564000i
\(283\) −2.38506e8 6.07703e8i −0.625527 1.59382i −0.793869 0.608089i \(-0.791936\pi\)
0.168342 0.985729i \(-0.446159\pi\)
\(284\) 8.11397e7 5.53201e7i 0.210193 0.143307i
\(285\) 3.40750e7 + 1.64096e7i 0.0871923 + 0.0419896i
\(286\) −1.10808e6 1.02815e6i −0.00280086 0.00259882i
\(287\) 7.71319e8 1.16258e8i 1.92596 0.290292i
\(288\) 345654. 4.61243e6i 0.000852644 0.0113777i
\(289\) −1.15881e8 + 2.95259e8i −0.282402 + 0.719550i
\(290\) −4.30330e6 1.88540e7i −0.0103612 0.0453952i
\(291\) 4.53804e7 + 6.05559e8i 0.107955 + 1.44056i
\(292\) −2.90880e8 8.97246e7i −0.683713 0.210898i
\(293\) 2.81871e8 1.35742e8i 0.654657 0.315266i −0.0769078 0.997038i \(-0.524505\pi\)
0.731565 + 0.681772i \(0.238790\pi\)
\(294\) −2.34575e7 + 4.06296e7i −0.0538352 + 0.0932454i
\(295\) −5.18177e7 8.97508e7i −0.117517 0.203545i
\(296\) −1.69363e8 1.15470e8i −0.379575 0.258790i
\(297\) −5.77303e6 + 2.52933e7i −0.0127866 + 0.0560219i
\(298\) −1.25226e8 1.88748e7i −0.274119 0.0413167i
\(299\) 1.49694e8 + 1.87710e8i 0.323858 + 0.406105i
\(300\) −3.90868e8 −0.835807
\(301\) −1.22000e8 + 5.89688e8i −0.257856 + 1.24635i
\(302\) 6.15486e7 0.128586
\(303\) −1.20693e8 1.51345e8i −0.249249 0.312549i
\(304\) −1.20534e8 1.81676e7i −0.246066 0.0370885i
\(305\) −5.16949e7 + 2.26490e8i −0.104327 + 0.457088i
\(306\) 782383. + 533420.i 0.00156097 + 0.00106425i
\(307\) 4.87684e8 + 8.44694e8i 0.961954 + 1.66615i 0.717584 + 0.696472i \(0.245248\pi\)
0.244371 + 0.969682i \(0.421419\pi\)
\(308\) −1.79751e7 + 3.11338e7i −0.0350545 + 0.0607161i
\(309\) −2.67758e8 + 1.28946e8i −0.516284 + 0.248629i
\(310\) −1.53383e6 473123.i −0.00292422 0.000902003i
\(311\) −3.45797e7 4.61434e8i −0.0651869 0.869858i −0.929952 0.367682i \(-0.880152\pi\)
0.864765 0.502177i \(-0.167467\pi\)
\(312\) −1.56220e7 6.84446e7i −0.0291203 0.127585i
\(313\) 5.07159e7 1.29222e8i 0.0934843 0.238194i −0.876481 0.481436i \(-0.840116\pi\)
0.969966 + 0.243241i \(0.0782107\pi\)
\(314\) −8.21089e6 + 1.09567e8i −0.0149671 + 0.199722i
\(315\) −5.63000e6 + 848585.i −0.0101489 + 0.00152971i
\(316\) 2.17041e8 + 2.01384e8i 0.386934 + 0.359022i
\(317\) 8.62695e8 + 4.15452e8i 1.52107 + 0.732510i 0.993157 0.116786i \(-0.0372593\pi\)
0.527916 + 0.849297i \(0.322974\pi\)
\(318\) −1.44712e7 + 9.86627e6i −0.0252353 + 0.0172051i
\(319\) −8.93006e6 2.27534e7i −0.0154023 0.0392445i
\(320\) −1.64022e8 + 5.05941e7i −0.279819 + 0.0863128i
\(321\) −4.46278e8 + 4.14086e8i −0.753075 + 0.698751i
\(322\) −1.13392e8 + 1.42189e8i −0.189272 + 0.237340i
\(323\) 4.92883e7 6.18056e7i 0.0813833 0.102051i
\(324\) −4.24899e8 + 3.94248e8i −0.694029 + 0.643965i
\(325\) 1.97375e8 6.08822e7i 0.318934 0.0983782i
\(326\) 2.95113e7 + 7.51935e7i 0.0471766 + 0.120204i
\(327\) −4.40945e7 + 3.00631e7i −0.0697377 + 0.0475463i
\(328\) −3.04844e8 1.46805e8i −0.477001 0.229712i
\(329\) 6.63874e8 + 6.15985e8i 1.02778 + 0.953640i
\(330\) −2.27726e6 + 343241.i −0.00348830 + 0.000525776i
\(331\) 3.31392e7 4.42211e8i 0.0502277 0.670242i −0.914093 0.405505i \(-0.867096\pi\)
0.964321 0.264737i \(-0.0852853\pi\)
\(332\) 1.56925e8 3.99839e8i 0.235347 0.599655i
\(333\) −4.49369e6 1.96881e7i −0.00666880 0.0292179i
\(334\) 4.01883e6 + 5.36276e7i 0.00590183 + 0.0787545i
\(335\) 2.41495e7 + 7.44913e6i 0.0350955 + 0.0108255i
\(336\) −7.16035e8 + 3.44825e8i −1.02979 + 0.495919i
\(337\) 5.88071e8 1.01857e9i 0.836999 1.44972i −0.0553937 0.998465i \(-0.517641\pi\)
0.892393 0.451260i \(-0.149025\pi\)
\(338\) −5.32338e7 9.22036e7i −0.0749857 0.129879i
\(339\) −9.32790e7 6.35965e7i −0.130042 0.0886614i
\(340\) 2.66077e7 1.16576e8i 0.0367140 0.160855i
\(341\) −2.00613e6 302376.i −0.00273981 0.000412959i
\(342\) 501022. + 628262.i 0.000677276 + 0.000849277i
\(343\) 3.61574e8 0.483802
\(344\) 1.87814e8 1.81530e8i 0.248756 0.240433i
\(345\) 3.65785e8 0.479578
\(346\) −1.36980e8 1.71767e8i −0.177783 0.222933i
\(347\) −3.68161e8 5.54913e7i −0.473025 0.0712970i −0.0917963 0.995778i \(-0.529261\pi\)
−0.381229 + 0.924481i \(0.624499\pi\)
\(348\) 1.24326e8 5.44709e8i 0.158138 0.692847i
\(349\) −4.96474e8 3.38490e8i −0.625183 0.426243i 0.208857 0.977946i \(-0.433026\pi\)
−0.834040 + 0.551703i \(0.813978\pi\)
\(350\) 7.82309e7 + 1.35500e8i 0.0975304 + 0.168928i
\(351\) 1.56689e8 2.71393e8i 0.193403 0.334984i
\(352\) 2.11847e7 1.02020e7i 0.0258894 0.0124677i
\(353\) −2.94712e8 9.09067e7i −0.356604 0.109998i 0.111276 0.993789i \(-0.464506\pi\)
−0.467881 + 0.883792i \(0.654982\pi\)
\(354\) 7.12659e6 + 9.50978e7i 0.00853828 + 0.113935i
\(355\) 1.75934e7 + 7.70816e7i 0.0208713 + 0.0914432i
\(356\) 3.38159e8 8.61614e8i 0.397233 1.01213i
\(357\) 3.85165e7 5.13967e8i 0.0448031 0.597856i
\(358\) −1.47086e8 + 2.21696e7i −0.169426 + 0.0255369i
\(359\) −5.77059e8 5.35432e8i −0.658248 0.610765i 0.278640 0.960396i \(-0.410116\pi\)
−0.936887 + 0.349631i \(0.886307\pi\)
\(360\) 2.22511e6 + 1.07156e6i 0.00251358 + 0.00121048i
\(361\) −6.83123e8 + 4.65745e8i −0.764229 + 0.521043i
\(362\) 8.18181e6 + 2.08469e7i 0.00906503 + 0.0230973i
\(363\) 8.58173e8 2.64711e8i 0.941676 0.290469i
\(364\) 3.18325e8 2.95363e8i 0.345952 0.320997i
\(365\) 1.52802e8 1.91608e8i 0.164477 0.206247i
\(366\) 1.33286e8 1.67135e8i 0.142102 0.178191i
\(367\) 5.36390e8 4.97697e8i 0.566434 0.525574i −0.344141 0.938918i \(-0.611830\pi\)
0.910575 + 0.413344i \(0.135639\pi\)
\(368\) −1.12655e9 + 3.47496e8i −1.17838 + 0.363481i
\(369\) −1.21783e7 3.10297e7i −0.0126181 0.0321503i
\(370\) 6.71085e7 4.57538e7i 0.0688765 0.0469592i
\(371\) −1.98321e8 9.55065e7i −0.201632 0.0971011i
\(372\) −3.39946e7 3.15423e7i −0.0342380 0.0317683i
\(373\) −1.12663e8 + 1.69812e7i −0.112409 + 0.0169429i −0.205006 0.978761i \(-0.565721\pi\)
0.0925968 + 0.995704i \(0.470483\pi\)
\(374\) −359728. + 4.80024e6i −0.000355569 + 0.00474474i
\(375\) 2.46764e8 6.28744e8i 0.241642 0.615693i
\(376\) −8.74133e7 3.82983e8i −0.0848048 0.371554i
\(377\) 2.20641e7 + 2.94425e8i 0.0212076 + 0.282996i
\(378\) 2.26836e8 + 6.99695e7i 0.216018 + 0.0666327i
\(379\) −1.88584e8 + 9.08172e7i −0.177937 + 0.0856902i −0.520732 0.853720i \(-0.674341\pi\)
0.342794 + 0.939410i \(0.388627\pi\)
\(380\) 5.07366e7 8.78783e7i 0.0474328 0.0821560i
\(381\) 1.64870e8 + 2.85564e8i 0.152723 + 0.264524i
\(382\) 9.15962e7 + 6.24492e7i 0.0840728 + 0.0573199i
\(383\) −3.63360e8 + 1.59198e9i −0.330477 + 1.44792i 0.487731 + 0.872994i \(0.337825\pi\)
−0.818209 + 0.574922i \(0.805033\pi\)
\(384\) 7.04572e8 + 1.06197e8i 0.634989 + 0.0957091i
\(385\) −1.80460e7 2.26290e7i −0.0161164 0.0202093i
\(386\) 3.36426e8 0.297738
\(387\) 2.57281e7 524622.i 0.0225642 0.000460106i
\(388\) 1.62929e9 1.41608
\(389\) 6.32520e8 + 7.93155e8i 0.544817 + 0.683179i 0.975670 0.219243i \(-0.0703588\pi\)
−0.430853 + 0.902422i \(0.641787\pi\)
\(390\) 2.75073e7 + 4.14605e6i 0.0234813 + 0.00353923i
\(391\) 1.70132e8 7.45397e8i 0.143935 0.630622i
\(392\) 2.11317e8 + 1.44074e8i 0.177188 + 0.120805i
\(393\) 7.89136e7 + 1.36682e8i 0.0655810 + 0.113590i
\(394\) 9.10805e7 1.57756e8i 0.0750220 0.129942i
\(395\) −2.14767e8 + 1.03426e8i −0.175338 + 0.0844386i
\(396\) 1.46805e6 + 452832.i 0.00118797 + 0.000366441i
\(397\) −7.95686e7 1.06177e9i −0.0638227 0.851655i −0.933624 0.358253i \(-0.883372\pi\)
0.869802 0.493401i \(-0.164247\pi\)
\(398\) −2.13761e7 9.36548e7i −0.0169956 0.0744628i
\(399\) 1.59795e8 4.07152e8i 0.125939 0.320886i
\(400\) −7.57947e7 + 1.01141e9i −0.0592146 + 0.790164i
\(401\) −2.16983e9 + 3.27050e8i −1.68043 + 0.253284i −0.918799 0.394725i \(-0.870840\pi\)
−0.761632 + 0.648009i \(0.775602\pi\)
\(402\) −1.70474e7 1.58176e7i −0.0130878 0.0121437i
\(403\) 2.20792e7 + 1.06328e7i 0.0168041 + 0.00809243i
\(404\) −4.29126e8 + 2.92573e8i −0.323780 + 0.220750i
\(405\) −1.70490e8 4.34402e8i −0.127528 0.324937i
\(406\) −2.13715e8 + 6.59222e7i −0.158487 + 0.0488867i
\(407\) 7.52544e7 6.98259e7i 0.0553288 0.0513377i
\(408\) −1.39392e8 + 1.74792e8i −0.101608 + 0.127412i
\(409\) −5.99509e8 + 7.51761e8i −0.433276 + 0.543311i −0.949757 0.312988i \(-0.898670\pi\)
0.516481 + 0.856298i \(0.327242\pi\)
\(410\) 9.82791e7 9.11897e7i 0.0704235 0.0653435i
\(411\) −1.13064e9 + 3.48755e8i −0.803298 + 0.247785i
\(412\) 2.91311e8 + 7.42249e8i 0.205219 + 0.522889i
\(413\) −9.90270e8 + 6.75155e8i −0.691717 + 0.471605i
\(414\) 7.00225e6 + 3.37211e6i 0.00484994 + 0.00233561i
\(415\) 2.53501e8 + 2.35214e8i 0.174105 + 0.161546i
\(416\) −2.80846e8 + 4.23308e7i −0.191268 + 0.0288290i
\(417\) 8.54821e7 1.14068e9i 0.0577296 0.770349i
\(418\) −1.49242e6 + 3.80263e6i −0.000999481 + 0.00254664i
\(419\) 1.86612e7 + 8.17602e7i 0.0123934 + 0.0542991i 0.980747 0.195285i \(-0.0625632\pi\)
−0.968353 + 0.249584i \(0.919706\pi\)
\(420\) −4.94406e7 6.59739e8i −0.0325620 0.434510i
\(421\) −1.39042e9 4.28889e8i −0.908155 0.280129i −0.194727 0.980857i \(-0.562382\pi\)
−0.713428 + 0.700729i \(0.752858\pi\)
\(422\) 8.14764e7 3.92369e7i 0.0527762 0.0254157i
\(423\) 1.93507e7 3.35163e7i 0.0124309 0.0215310i
\(424\) 4.77403e7 + 8.26887e7i 0.0304162 + 0.0526824i
\(425\) −5.43470e8 3.70532e8i −0.343411 0.234134i
\(426\) 1.61893e7 7.09299e7i 0.0101460 0.0444525i
\(427\) 2.65668e9 + 4.00430e8i 1.65136 + 0.248902i
\(428\) 1.01842e9 + 1.27706e9i 0.627875 + 0.787330i
\(429\) 3.51602e7 0.0215006
\(430\) 3.97689e7 + 9.55540e7i 0.0241215 + 0.0579575i
\(431\) −1.99765e9 −1.20185 −0.600924 0.799306i \(-0.705200\pi\)
−0.600924 + 0.799306i \(0.705200\pi\)
\(432\) 9.59426e8 + 1.20308e9i 0.572557 + 0.717963i
\(433\) 1.24143e9 + 1.87115e8i 0.734876 + 0.110765i 0.505808 0.862646i \(-0.331194\pi\)
0.229067 + 0.973411i \(0.426432\pi\)
\(434\) −4.13070e6 + 1.80978e7i −0.00242555 + 0.0106270i
\(435\) 3.71662e8 + 2.53395e8i 0.216489 + 0.147600i
\(436\) 7.15937e7 + 1.24004e8i 0.0413687 + 0.0716527i
\(437\) 3.24414e8 5.61901e8i 0.185958 0.322088i
\(438\) −2.03184e8 + 9.78481e7i −0.115539 + 0.0556408i
\(439\) −2.99974e9 9.25298e8i −1.69222 0.521982i −0.709129 0.705078i \(-0.750912\pi\)
−0.983095 + 0.183096i \(0.941388\pi\)
\(440\) 938216. + 1.25196e7i 0.000525072 + 0.00700660i
\(441\) 5.60685e6 + 2.45652e7i 0.00311304 + 0.0136391i
\(442\) 2.12429e7 5.41259e7i 0.0117013 0.0298145i
\(443\) −2.24376e8 + 2.99408e9i −0.122620 + 1.63625i 0.508850 + 0.860855i \(0.330071\pi\)
−0.631471 + 0.775400i \(0.717548\pi\)
\(444\) 2.32036e9 3.49738e8i 1.25810 0.189628i
\(445\) 5.46270e8 + 5.06864e8i 0.293865 + 0.272666i
\(446\) −3.20187e8 1.54194e8i −0.170896 0.0822992i
\(447\) 2.43384e9 1.65936e9i 1.28889 0.878750i
\(448\) 7.25232e8 + 1.84786e9i 0.381069 + 0.970949i
\(449\) −3.61555e7 + 1.11525e7i −0.0188500 + 0.00581447i −0.304166 0.952619i \(-0.598378\pi\)
0.285316 + 0.958434i \(0.407902\pi\)
\(450\) 4.90137e6 4.54781e6i 0.00253556 0.00235266i
\(451\) 1.05653e8 1.32485e8i 0.0542330 0.0680060i
\(452\) −1.88857e8 + 2.36819e8i −0.0961941 + 0.120624i
\(453\) −1.04946e9 + 9.73755e8i −0.530422 + 0.492160i
\(454\) −5.28998e8 + 1.63174e8i −0.265313 + 0.0818383i
\(455\) 1.27728e8 + 3.25445e8i 0.0635690 + 0.161971i
\(456\) −1.56757e8 + 1.06875e8i −0.0774195 + 0.0527837i
\(457\) −1.96398e8 9.45805e7i −0.0962568 0.0463548i 0.385136 0.922860i \(-0.374155\pi\)
−0.481393 + 0.876505i \(0.659869\pi\)
\(458\) 5.00185e8 + 4.64104e8i 0.243277 + 0.225728i
\(459\) −9.86805e8 + 1.48737e8i −0.476307 + 0.0717917i
\(460\) 7.33410e7 9.78668e8i 0.0351313 0.468795i
\(461\) −8.93248e8 + 2.27596e9i −0.424638 + 1.08196i 0.545221 + 0.838292i \(0.316446\pi\)
−0.969859 + 0.243667i \(0.921650\pi\)
\(462\) 5.92654e6 + 2.59659e7i 0.00279611 + 0.0122506i
\(463\) −1.12278e8 1.49825e9i −0.0525729 0.701536i −0.959762 0.280814i \(-0.909396\pi\)
0.907189 0.420723i \(-0.138223\pi\)
\(464\) −1.38538e9 4.27333e8i −0.643808 0.198588i
\(465\) 3.36384e7 1.61994e7i 0.0155149 0.00747159i
\(466\) −2.06286e8 + 3.57297e8i −0.0944318 + 0.163561i
\(467\) 1.50096e9 + 2.59974e9i 0.681961 + 1.18119i 0.974382 + 0.224901i \(0.0722059\pi\)
−0.292421 + 0.956290i \(0.594461\pi\)
\(468\) −1.53326e7 1.04536e7i −0.00691443 0.00471418i
\(469\) 6.50362e7 2.84942e8i 0.0291105 0.127542i
\(470\) 1.53917e8 + 2.31993e7i 0.0683825 + 0.0103070i
\(471\) −1.59344e9 1.99812e9i −0.702690 0.881145i
\(472\) 5.19881e8 0.227566
\(473\) 6.77045e7 + 1.11934e8i 0.0294173 + 0.0486348i
\(474\) 2.19349e8 0.0946045
\(475\) −3.48027e8 4.36412e8i −0.149000 0.186840i
\(476\) −1.36741e9 2.06104e8i −0.581132 0.0875916i
\(477\) −2.09317e6 + 9.17079e6i −0.000883061 + 0.00386894i
\(478\) 9.05635e7 + 6.17452e7i 0.0379276 + 0.0258586i
\(479\) −5.07018e8 8.78180e8i −0.210789 0.365098i 0.741172 0.671315i \(-0.234270\pi\)
−0.951962 + 0.306217i \(0.900937\pi\)
\(480\) −2.16356e8 + 3.74739e8i −0.0892944 + 0.154663i
\(481\) −1.11723e9 + 5.38029e8i −0.457757 + 0.220444i
\(482\) 9.99904e7 + 3.08430e7i 0.0406718 + 0.0125456i
\(483\) −3.16127e8 4.21842e9i −0.127658 1.70347i
\(484\) −5.36176e8 2.34914e9i −0.214956 0.941782i
\(485\) −4.79234e8 + 1.22107e9i −0.190744 + 0.486008i
\(486\) 1.49944e6 2.00086e7i 0.000592518 0.00790660i
\(487\) 1.30174e9 1.96205e8i 0.510707 0.0769767i 0.111367 0.993779i \(-0.464477\pi\)
0.399341 + 0.916803i \(0.369239\pi\)
\(488\) −8.54294e8 7.92669e8i −0.332765 0.308761i
\(489\) −1.69282e9 8.15221e8i −0.654683 0.315279i
\(490\) −8.37325e7 + 5.70878e7i −0.0321520 + 0.0219208i
\(491\) 1.40974e9 + 3.59197e9i 0.537471 + 1.36945i 0.899350 + 0.437229i \(0.144040\pi\)
−0.361879 + 0.932225i \(0.617865\pi\)
\(492\) 3.70128e9 1.14170e9i 1.40112 0.432188i
\(493\) 6.89234e8 6.39516e8i 0.259061 0.240374i
\(494\) 3.07651e7 3.85782e7i 0.0114819 0.0143978i
\(495\) −771180. + 967029.i −0.000285784 + 0.000358361i
\(496\) −8.82109e7 + 8.18477e7i −0.0324591 + 0.0301176i
\(497\) 8.73740e8 2.69513e8i 0.319253 0.0984765i
\(498\) −1.16258e8 2.96220e8i −0.0421812 0.107476i
\(499\) 3.54150e9 2.41455e9i 1.27595 0.869931i 0.280019 0.959995i \(-0.409659\pi\)
0.995936 + 0.0900635i \(0.0287070\pi\)
\(500\) −1.63275e9 7.86289e8i −0.584149 0.281311i
\(501\) −9.16962e8 8.50817e8i −0.325776 0.302276i
\(502\) −8.15975e8 + 1.22988e8i −0.287882 + 0.0433912i
\(503\) 3.55393e8 4.74239e9i 0.124515 1.66153i −0.489324 0.872102i \(-0.662757\pi\)
0.613839 0.789431i \(-0.289624\pi\)
\(504\) 1.04347e7 2.65872e7i 0.00363056 0.00925052i
\(505\) −9.30467e7 4.07664e8i −0.0321500 0.140858i
\(506\) 2.95249e6 + 3.93983e7i 0.00101312 + 0.0135192i
\(507\) 2.36643e9 + 7.29947e8i 0.806428 + 0.248750i
\(508\) 7.97091e8 3.83859e8i 0.269765 0.129912i
\(509\) 9.42519e8 1.63249e9i 0.316795 0.548705i −0.663023 0.748599i \(-0.730727\pi\)
0.979817 + 0.199895i \(0.0640600\pi\)
\(510\) −4.42931e7 7.67180e7i −0.0147857 0.0256095i
\(511\) −2.34178e9 1.59660e9i −0.776378 0.529325i
\(512\) 5.22706e8 2.29013e9i 0.172113 0.754075i
\(513\) −8.37424e8 1.26221e8i −0.273864 0.0412783i
\(514\) 3.23615e8 + 4.05801e8i 0.105113 + 0.131808i
\(515\) −6.41962e8 −0.207102
\(516\) −1.62621e8 + 2.98577e9i −0.0521079 + 0.956716i
\(517\) 1.96739e8 0.0626144
\(518\) −5.85654e8 7.34387e8i −0.185134 0.232151i
\(519\) 5.05315e9 + 7.61640e8i 1.58663 + 0.239146i
\(520\) 3.37453e7 1.47848e8i 0.0105245 0.0461109i
\(521\) 3.67924e9 + 2.50847e9i 1.13979 + 0.777099i 0.977768 0.209688i \(-0.0672448\pi\)
0.162026 + 0.986786i \(0.448197\pi\)
\(522\) 4.77876e6 + 8.27705e6i 0.00147051 + 0.00254700i
\(523\) −1.31836e9 + 2.28346e9i −0.402975 + 0.697972i −0.994083 0.108619i \(-0.965357\pi\)
0.591109 + 0.806592i \(0.298690\pi\)
\(524\) 3.81520e8 1.83730e8i 0.115840 0.0557855i
\(525\) −3.47764e9 1.07271e9i −1.04888 0.323538i
\(526\) 6.31773e7 + 8.43042e8i 0.0189283 + 0.252580i
\(527\) −1.73654e7 7.60829e7i −0.00516830 0.0226438i
\(528\) −6.30759e7 + 1.60715e8i −0.0186485 + 0.0475157i
\(529\) 2.14505e8 2.86237e9i 0.0630003 0.840681i
\(530\) −3.74107e7 + 5.63876e6i −0.0109152 + 0.00164520i
\(531\) 3.75455e7 + 3.48371e7i 0.0108824 + 0.0100974i
\(532\) −1.05731e9 5.09172e8i −0.304446 0.146614i
\(533\) −1.69119e9 + 1.15304e9i −0.483780 + 0.329836i
\(534\) −2.50524e8 6.38325e8i −0.0711959 0.181404i
\(535\) −1.25664e9 + 3.87622e8i −0.354791 + 0.109439i
\(536\) −9.29340e7 + 8.62302e7i −0.0260674 + 0.0241870i
\(537\) 2.15720e9 2.70505e9i 0.601148 0.753815i
\(538\) 1.27494e8 1.59873e8i 0.0352982 0.0442625i
\(539\) −9.38963e7 + 8.71231e7i −0.0258278 + 0.0239647i
\(540\) −1.22408e9 + 3.77578e8i −0.334527 + 0.103188i
\(541\) 9.11362e8 + 2.32211e9i 0.247457 + 0.630511i 0.999594 0.0284961i \(-0.00907183\pi\)
−0.752136 + 0.659007i \(0.770977\pi\)
\(542\) −2.99008e8 + 2.03860e8i −0.0806650 + 0.0549965i
\(543\) −4.69325e8 2.26015e8i −0.125798 0.0605812i
\(544\) 6.63014e8 + 6.15187e8i 0.176574 + 0.163837i
\(545\) −1.13993e8 + 1.71816e7i −0.0301640 + 0.00454650i
\(546\) 2.40415e7 3.20811e8i 0.00632101 0.0843481i
\(547\) −5.85503e8 + 1.49184e9i −0.152958 + 0.389732i −0.986728 0.162381i \(-0.948083\pi\)
0.833770 + 0.552112i \(0.186178\pi\)
\(548\) 7.06408e8 + 3.09498e9i 0.183368 + 0.803388i
\(549\) −8.58000e6 1.14492e8i −0.00221301 0.0295306i
\(550\) 3.24797e7 + 1.00187e7i 0.00832421 + 0.00256768i
\(551\) 7.18879e8 3.46194e8i 0.183073 0.0881635i
\(552\) −9.17470e8 + 1.58910e9i −0.232169 + 0.402129i
\(553\) 1.37837e9 + 2.38742e9i 0.346601 + 0.600330i
\(554\) 5.81369e8 + 3.96370e8i 0.145267 + 0.0990415i
\(555\) −4.20393e8 + 1.84186e9i −0.104383 + 0.457332i
\(556\) −3.03478e9 4.57420e8i −0.748799 0.112863i
\(557\) −3.67625e8 4.60987e8i −0.0901388 0.113030i 0.734717 0.678374i \(-0.237315\pi\)
−0.824856 + 0.565344i \(0.808744\pi\)
\(558\) 793282. 0.000193289
\(559\) −3.82950e8 1.53305e9i −0.0927259 0.371205i
\(560\) −1.71673e9 −0.413088
\(561\) −6.98106e7 8.75397e7i −0.0166936 0.0209332i
\(562\) 1.28528e9 + 1.93726e8i 0.305437 + 0.0460373i
\(563\) 6.38206e8 2.79616e9i 0.150724 0.660364i −0.841952 0.539553i \(-0.818593\pi\)
0.992676 0.120811i \(-0.0385495\pi\)
\(564\) 3.71564e9 + 2.53328e9i 0.872080 + 0.594574i
\(565\) −1.21934e8 2.11196e8i −0.0284416 0.0492624i
\(566\) −6.48821e8 + 1.12379e9i −0.150407 + 0.260512i
\(567\) −4.86240e9 + 2.34161e9i −1.12024 + 0.539478i
\(568\) −3.78999e8 1.16906e8i −0.0867799 0.0267681i
\(569\) 4.59158e8 + 6.12703e9i 0.104489 + 1.39430i 0.765262 + 0.643718i \(0.222609\pi\)
−0.660774 + 0.750585i \(0.729772\pi\)
\(570\) −1.67283e7 7.32914e7i −0.00378346 0.0165764i
\(571\) 5.75497e8 1.46634e9i 0.129365 0.329616i −0.851486 0.524378i \(-0.824298\pi\)
0.980851 + 0.194761i \(0.0623932\pi\)
\(572\) 7.04972e6 9.40720e7i 0.00157502 0.0210172i
\(573\) −2.54980e9 + 3.84321e8i −0.566194 + 0.0853400i
\(574\) −1.13658e9 1.05460e9i −0.250848 0.232752i
\(575\) −4.86400e9 2.34238e9i −1.06698 0.513831i
\(576\) 7.00905e7 4.77869e7i 0.0152820 0.0104191i
\(577\) 2.89963e9 + 7.38813e9i 0.628387 + 1.60110i 0.789212 + 0.614121i \(0.210489\pi\)
−0.160825 + 0.986983i \(0.551416\pi\)
\(578\) 6.02464e8 1.85836e8i 0.129773 0.0400296i
\(579\) −5.73637e9 + 5.32257e9i −1.22818 + 1.13958i
\(580\) 7.52485e8 9.43587e8i 0.160140 0.200809i
\(581\) 2.49353e9 3.12678e9i 0.527470 0.661426i
\(582\) 8.84835e8 8.21007e8i 0.186051 0.172630i
\(583\) −4.56944e7 + 1.40949e7i −0.00955044 + 0.00294592i
\(584\) 4.49154e8 + 1.14443e9i 0.0933147 + 0.237762i
\(585\) 1.23443e7 8.41622e6i 0.00254930 0.00173809i
\(586\) −5.60280e8 2.69817e8i −0.115017 0.0553895i
\(587\) 1.43518e8 + 1.33165e8i 0.0292868 + 0.0271742i 0.694680 0.719318i \(-0.255546\pi\)
−0.665394 + 0.746493i \(0.731736\pi\)
\(588\) −2.89516e9 + 4.36375e8i −0.587289 + 0.0885196i
\(589\) 4.94907e6 6.60408e7i 0.000997976 0.0133171i
\(590\) −7.52595e7 + 1.91758e8i −0.0150862 + 0.0384389i
\(591\) 9.42842e8 + 4.13086e9i 0.187881 + 0.823160i
\(592\) −4.55032e8 6.07198e9i −0.0901397 1.20283i
\(593\) 6.69250e9 + 2.06436e9i 1.31794 + 0.406532i 0.872428 0.488742i \(-0.162544\pi\)
0.445516 + 0.895274i \(0.353020\pi\)
\(594\) 4.64620e7 2.23749e7i 0.00909588 0.00438035i
\(595\) 5.56670e8 9.64181e8i 0.108340 0.187650i
\(596\) −3.95168e9 6.84451e9i −0.764575 1.32428i
\(597\) 1.84619e9 + 1.25871e9i 0.355112 + 0.242111i
\(598\) 1.06194e8 4.65266e8i 0.0203070 0.0889707i
\(599\) 4.02851e9 + 6.07201e8i 0.765863 + 0.115435i 0.520344 0.853957i \(-0.325804\pi\)
0.245519 + 0.969392i \(0.421042\pi\)
\(600\) 9.84252e8 + 1.23421e9i 0.186027 + 0.233271i
\(601\) −4.40827e9 −0.828338 −0.414169 0.910200i \(-0.635928\pi\)
−0.414169 + 0.910200i \(0.635928\pi\)
\(602\) 1.06761e9 5.41217e8i 0.199446 0.101108i
\(603\) −1.24899e7 −0.00231979
\(604\) 2.39489e9 + 3.00310e9i 0.442238 + 0.554549i
\(605\) 1.91827e9 + 2.89132e8i 0.352180 + 0.0530827i
\(606\) −8.56209e7 + 3.75129e8i −0.0156288 + 0.0684742i
\(607\) 2.98941e9 + 2.03814e9i 0.542531 + 0.369891i 0.803360 0.595494i \(-0.203044\pi\)
−0.260829 + 0.965385i \(0.583996\pi\)
\(608\) 3.83771e8 + 6.64711e8i 0.0692484 + 0.119942i
\(609\) 2.60108e9 4.50520e9i 0.466651 0.808264i
\(610\) 4.16046e8 2.00357e8i 0.0742142 0.0357397i
\(611\) −2.27086e9 7.00467e8i −0.402760 0.124235i
\(612\) 4.41619e6 + 5.89299e7i 0.000778785 + 0.0103922i
\(613\) −3.92701e8 1.72054e9i −0.0688574 0.301684i 0.928759 0.370683i \(-0.120876\pi\)
−0.997617 + 0.0689995i \(0.978019\pi\)
\(614\) 7.08308e8 1.80474e9i 0.123490 0.314648i
\(615\) −2.33042e8 + 3.10973e9i −0.0403991 + 0.539089i
\(616\) 1.43572e8 2.16400e7i 0.0247478 0.00373014i
\(617\) −1.51815e9 1.40864e9i −0.260206 0.241436i 0.539271 0.842132i \(-0.318700\pi\)
−0.799477 + 0.600696i \(0.794890\pi\)
\(618\) 5.32228e8 + 2.56308e8i 0.0907064 + 0.0436819i
\(619\) 5.40265e9 3.68347e9i 0.915566 0.624222i −0.0111691 0.999938i \(-0.503555\pi\)
0.926735 + 0.375715i \(0.122603\pi\)
\(620\) −3.65973e7 9.32484e7i −0.00616706 0.0157134i
\(621\) −7.82685e9 + 2.41426e9i −1.31149 + 0.404543i
\(622\) −6.74242e8 + 6.25605e8i −0.112344 + 0.104240i
\(623\) 5.37331e9 6.73792e9i 0.890295 1.11639i
\(624\) 1.30026e9 1.63047e9i 0.214232 0.268638i
\(625\) −2.83343e9 + 2.62904e9i −0.464229 + 0.430742i
\(626\) −2.63672e8 + 8.13321e7i −0.0429590 + 0.0132511i
\(627\) −3.47140e7 8.84498e7i −0.00562429 0.0143305i
\(628\) −5.66551e9 + 3.86268e9i −0.912809 + 0.622343i
\(629\) 3.55782e9 + 1.71335e9i 0.570041 + 0.274517i
\(630\) 8.29613e6 + 7.69768e6i 0.00132185 + 0.00122650i
\(631\) −9.86262e9 + 1.48655e9i −1.56275 + 0.235547i −0.872715 0.488229i \(-0.837643\pi\)
−0.690035 + 0.723776i \(0.742405\pi\)
\(632\) 8.93612e7 1.19244e9i 0.0140812 0.187900i
\(633\) −7.68481e8 + 1.95806e9i −0.120426 + 0.306840i
\(634\) −4.23520e8 1.85556e9i −0.0660026 0.289176i
\(635\) 5.32285e7 + 7.10285e8i 0.00824966 + 0.110084i
\(636\) −1.04448e9 3.22179e8i −0.160990 0.0496590i
\(637\) 1.39399e9 6.71309e8i 0.213684 0.102905i
\(638\) −2.42930e7 + 4.20767e7i −0.00370347 + 0.00641459i
\(639\) −1.95372e7 3.38395e7i −0.00296217 0.00513063i
\(640\) 1.27170e9 + 8.67031e8i 0.191759 + 0.130739i
\(641\) −1.30104e9 + 5.70023e9i −0.195114 + 0.854849i 0.778681 + 0.627420i \(0.215889\pi\)
−0.973795 + 0.227429i \(0.926968\pi\)
\(642\) 1.19660e9 + 1.80358e8i 0.178474 + 0.0269006i
\(643\) 3.54305e9 + 4.44285e9i 0.525580 + 0.659057i 0.971783 0.235875i \(-0.0757956\pi\)
−0.446203 + 0.894932i \(0.647224\pi\)
\(644\) −1.13499e10 −1.67452
\(645\) −2.18985e9 1.00010e9i −0.321333 0.146752i
\(646\) −1.57134e8 −0.0229327
\(647\) −7.35748e8 9.22599e8i −0.106798 0.133921i 0.725560 0.688159i \(-0.241581\pi\)
−0.832358 + 0.554238i \(0.813010\pi\)
\(648\) 2.31483e9 + 3.48905e8i 0.334200 + 0.0503726i
\(649\) −5.79374e7 + 2.53840e8i −0.00831960 + 0.0364506i
\(650\) −3.39226e8 2.31281e8i −0.0484499 0.0330326i
\(651\) −2.15891e8 3.73935e8i −0.0306692 0.0531205i
\(652\) −2.52056e9 + 4.36574e9i −0.356149 + 0.616867i
\(653\) 1.15714e10 5.57250e9i 1.62626 0.783166i 0.626268 0.779608i \(-0.284582\pi\)
0.999994 0.00355792i \(-0.00113252\pi\)
\(654\) 1.01367e8 + 3.12676e7i 0.0141702 + 0.00437092i
\(655\) 2.54773e7 + 3.39971e8i 0.00354249 + 0.0472713i
\(656\) −2.23652e9 9.79883e9i −0.309321 1.35522i
\(657\) −4.42501e7 + 1.12747e8i −0.00608745 + 0.0155106i
\(658\) 1.34524e8 1.79510e9i 0.0184082 0.245640i
\(659\) 1.40828e10 2.12264e9i 1.91685 0.288919i 0.921753 0.387777i \(-0.126757\pi\)
0.995102 + 0.0988576i \(0.0315188\pi\)
\(660\) −1.05357e8 9.77569e7i −0.0142646 0.0132356i
\(661\) −4.13094e9 1.98936e9i −0.556345 0.267922i 0.134513 0.990912i \(-0.457053\pi\)
−0.690858 + 0.722990i \(0.742767\pi\)
\(662\) −7.28293e8 + 4.96542e8i −0.0975671 + 0.0665201i
\(663\) 4.94112e8 + 1.25898e9i 0.0658458 + 0.167772i
\(664\) −1.65769e9 + 5.11331e8i −0.219744 + 0.0677819i
\(665\) 6.92591e8 6.42630e8i 0.0913273 0.0847394i
\(666\) −2.50274e7 + 3.13834e7i −0.00328289 + 0.00411661i
\(667\) 4.81145e9 6.03336e9i 0.627820 0.787262i
\(668\) −2.46024e9 + 2.28277e9i −0.319345 + 0.296308i
\(669\) 7.89897e9 2.43651e9i 1.01995 0.314613i
\(670\) −1.83526e7 4.67616e7i −0.00235741 0.00600659i
\(671\) 4.82239e8 3.28785e8i 0.0616217 0.0420130i
\(672\) 4.50867e9 + 2.17126e9i 0.573134 + 0.276007i
\(673\) −8.50168e9 7.88840e9i −1.07511 0.997554i −1.00000 0.000378362i \(-0.999880\pi\)
−0.0751074 0.997175i \(-0.523930\pi\)
\(674\) −2.31173e9 + 3.48437e8i −0.290822 + 0.0438343i
\(675\) −5.26592e8 + 7.02688e9i −0.0659038 + 0.879426i
\(676\) 2.42747e9 6.18509e9i 0.302232 0.770075i
\(677\) −2.21190e9 9.69098e9i −0.273972 1.20035i −0.905280 0.424816i \(-0.860339\pi\)
0.631308 0.775532i \(-0.282518\pi\)
\(678\) 1.67698e7 + 2.23778e8i 0.00206645 + 0.0275748i
\(679\) 1.44962e10 + 4.47147e9i 1.77709 + 0.548159i
\(680\) −4.35105e8 + 2.09535e8i −0.0530655 + 0.0255550i
\(681\) 6.43833e9 1.11515e10i 0.781193 1.35307i
\(682\) 2.01634e6 + 3.49240e6i 0.000243398 + 0.000421578i
\(683\) 6.39817e7 + 4.36220e7i 0.00768393 + 0.00523881i 0.567156 0.823610i \(-0.308044\pi\)
−0.559472 + 0.828849i \(0.688996\pi\)
\(684\) −1.11593e7 + 4.88921e7i −0.00133334 + 0.00584174i
\(685\) −2.52730e9 3.80930e8i −0.300428 0.0452822i
\(686\) −4.48107e8 5.61908e8i −0.0529965 0.0664555i
\(687\) −1.58712e10 −1.86750
\(688\) 7.69445e9 + 9.99781e8i 0.900778 + 0.117043i
\(689\) 5.77610e8 0.0672772
\(690\) −4.53325e8 5.68452e8i −0.0525337 0.0658752i
\(691\) −3.84972e9 5.80251e8i −0.443870 0.0669026i −0.0766950 0.997055i \(-0.524437\pi\)
−0.367175 + 0.930152i \(0.619675\pi\)
\(692\) 3.05096e9 1.33671e10i 0.349998 1.53344i
\(693\) 1.18188e7 + 8.05790e6i 0.00134898 + 0.000919719i
\(694\) 3.70033e8 + 6.40915e8i 0.0420225 + 0.0727851i
\(695\) 1.23545e9 2.13987e9i 0.139598 0.241791i
\(696\) −2.03305e9 + 9.79067e8i −0.228569 + 0.110073i
\(697\) 6.22863e9 + 1.92128e9i 0.696751 + 0.214919i
\(698\) 8.92568e7 + 1.19105e9i 0.00993453 + 0.132567i
\(699\) −2.13542e9 9.35587e9i −0.236490 1.03613i
\(700\) −3.56734e9 + 9.08944e9i −0.393099 + 1.00160i
\(701\) 1.38051e8 1.84217e9i 0.0151366 0.201984i −0.984508 0.175338i \(-0.943898\pi\)
0.999645 0.0266459i \(-0.00848267\pi\)
\(702\) −6.15949e8 + 9.28394e7i −0.0671994 + 0.0101287i
\(703\) 2.45653e9 + 2.27933e9i 0.266673 + 0.247436i
\(704\) 3.88534e8 + 1.87108e8i 0.0419686 + 0.0202110i
\(705\) −2.99146e9 + 2.03955e9i −0.321530 + 0.219216i
\(706\) 2.23969e8 + 5.70663e8i 0.0239536 + 0.0610328i
\(707\) −4.62098e9 + 1.42538e9i −0.491775 + 0.151692i
\(708\) −4.36274e9 + 4.04803e9i −0.462001 + 0.428675i
\(709\) 3.73947e9 4.68915e9i 0.394048 0.494120i −0.544746 0.838601i \(-0.683374\pi\)
0.938793 + 0.344481i \(0.111945\pi\)
\(710\) 9.79857e7 1.22870e8i 0.0102744 0.0128837i
\(711\) 8.63588e7 8.01293e7i 0.00901080 0.00836080i
\(712\) −3.57217e9 + 1.10187e9i −0.370896 + 0.114406i
\(713\) −2.34006e8 5.96238e8i −0.0241776 0.0616036i
\(714\) −8.46471e8 + 5.77114e8i −0.0870299 + 0.0593360i
\(715\) 6.84285e7 + 3.29534e7i 0.00700109 + 0.00337155i
\(716\) −6.80491e9 6.31403e9i −0.692830 0.642852i
\(717\) −2.52105e9 + 3.79988e8i −0.255426 + 0.0384993i
\(718\) −1.16933e8 + 1.56036e9i −0.0117896 + 0.157322i
\(719\) −4.80739e9 + 1.22490e10i −0.482346 + 1.22900i 0.458053 + 0.888925i \(0.348547\pi\)
−0.940399 + 0.340072i \(0.889548\pi\)
\(720\) 1.63248e7 + 7.15234e7i 0.00162998 + 0.00714142i
\(721\) 5.54811e8 + 7.40344e9i 0.0551279 + 0.735631i
\(722\) 1.57041e9 + 4.84406e8i 0.155286 + 0.0478993i
\(723\) −2.19289e9 + 1.05604e9i −0.215791 + 0.103919i
\(724\) −6.98810e8 + 1.21038e9i −0.0684344 + 0.118532i
\(725\) −3.31949e9 5.74952e9i −0.323510 0.560337i
\(726\) −1.47493e9 1.00559e9i −0.143052 0.0975310i
\(727\) −3.48877e9 + 1.52853e10i −0.336746 + 1.47538i 0.469042 + 0.883176i \(0.344599\pi\)
−0.805788 + 0.592205i \(0.798258\pi\)
\(728\) −1.73422e9 2.61392e8i −0.166589 0.0251092i
\(729\) 6.66240e9 + 8.35438e9i 0.636919 + 0.798671i
\(730\) −4.87142e8 −0.0463474
\(731\) −3.05654e9 + 3.99731e9i −0.289414 + 0.378493i
\(732\) 1.33412e10 1.25720
\(733\) −3.17396e9 3.98002e9i −0.297672 0.373269i 0.610393 0.792099i \(-0.291012\pi\)
−0.908065 + 0.418830i \(0.862440\pi\)
\(734\) −1.43821e9 2.16775e8i −0.134241 0.0202336i
\(735\) 5.24532e8 2.29812e9i 0.0487266 0.213485i
\(736\) 6.13349e9 + 4.18174e9i 0.567068 + 0.386621i
\(737\) −3.17464e7 5.49864e7i −0.00292118 0.00505963i
\(738\) −3.31292e7 + 5.73815e7i −0.00303399 + 0.00525503i
\(739\) −5.04914e9 + 2.43154e9i −0.460216 + 0.221628i −0.649602 0.760274i \(-0.725065\pi\)
0.189386 + 0.981903i \(0.439350\pi\)
\(740\) 4.84366e9 + 1.49407e9i 0.439403 + 0.135538i
\(741\) 8.57703e7 + 1.14452e9i 0.00774414 + 0.103338i
\(742\) 9.73610e7 + 4.26566e8i 0.00874926 + 0.0383330i
\(743\) −2.29636e9 + 5.85102e9i −0.205390 + 0.523324i −0.996036 0.0889485i \(-0.971649\pi\)
0.790647 + 0.612273i \(0.209745\pi\)
\(744\) −1.39964e7 + 1.86769e8i −0.00124598 + 0.0166265i
\(745\) 6.29194e9 9.48357e8i 0.557490 0.0840282i
\(746\) 1.66016e8 + 1.54040e8i 0.0146408 + 0.0135846i
\(747\) −1.53982e8 7.41537e7i −0.0135160 0.00650895i
\(748\) −2.48212e8 + 1.69228e8i −0.0216854 + 0.0147849i
\(749\) 5.55630e9 + 1.41572e10i 0.483169 + 1.23110i
\(750\) −1.28293e9 + 3.95730e8i −0.111042 + 0.0342519i
\(751\) −1.55459e10 + 1.44245e10i −1.33930 + 1.24269i −0.392941 + 0.919564i \(0.628542\pi\)
−0.946357 + 0.323124i \(0.895267\pi\)
\(752\) 7.27562e9 9.12334e9i 0.623889