Properties

Label 43.8.g.a.9.2
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 9.2
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-12.0734 - 15.1396i) q^{2} +(-73.9419 - 11.1450i) q^{3} +(-54.9571 + 240.783i) q^{4} +(-26.8606 - 18.3132i) q^{5} +(724.002 + 1254.01i) q^{6} +(53.2365 - 92.2083i) q^{7} +(2075.71 - 999.609i) q^{8} +(3253.36 + 1003.53i) q^{9} +O(q^{10})\) \(q+(-12.0734 - 15.1396i) q^{2} +(-73.9419 - 11.1450i) q^{3} +(-54.9571 + 240.783i) q^{4} +(-26.8606 - 18.3132i) q^{5} +(724.002 + 1254.01i) q^{6} +(53.2365 - 92.2083i) q^{7} +(2075.71 - 999.609i) q^{8} +(3253.36 + 1003.53i) q^{9} +(47.0442 + 627.761i) q^{10} +(407.040 + 1783.36i) q^{11} +(6747.15 - 17191.4i) q^{12} +(-222.107 + 2963.82i) q^{13} +(-2038.74 + 307.291i) q^{14} +(1782.02 + 1653.47i) q^{15} +(-11712.4 - 5640.41i) q^{16} +(-22380.2 + 15258.6i) q^{17} +(-24086.2 - 61370.6i) q^{18} +(12680.4 - 3911.39i) q^{19} +(5885.69 - 5461.12i) q^{20} +(-4964.06 + 6224.74i) q^{21} +(22085.0 - 27693.7i) q^{22} +(-79701.0 + 73951.7i) q^{23} +(-164623. + 50779.3i) q^{24} +(-28156.2 - 71740.7i) q^{25} +(47552.6 - 32420.8i) q^{26} +(-82033.4 - 39505.2i) q^{27} +(19276.4 + 17885.9i) q^{28} +(119505. - 18012.5i) q^{29} +(3517.83 - 46942.2i) q^{30} +(107987. - 275147. i) q^{31} +(-9604.52 - 42080.1i) q^{32} +(-10221.9 - 136402. i) q^{33} +(501214. + 154604. i) q^{34} +(-3118.59 + 1501.83i) q^{35} +(-420428. + 728203. i) q^{36} +(35047.9 + 60704.8i) q^{37} +(-212313. - 144753. i) q^{38} +(49454.6 - 216675. i) q^{39} +(-74060.7 - 11162.9i) q^{40} +(240046. + 301009. i) q^{41} +154173. q^{42} +(-446290. - 269524. i) q^{43} -451772. q^{44} +(-69009.3 - 86534.9i) q^{45} +(2.08186e6 + 313790. i) q^{46} +(61816.6 - 270836. i) q^{47} +(803178. + 547598. i) q^{48} +(406103. + 703391. i) q^{49} +(-746184. + 1.29243e6i) q^{50} +(1.82489e6 - 878821. i) q^{51} +(-701430. - 216362. i) q^{52} +(-26654.6 - 355681. i) q^{53} +(392331. + 1.71892e6i) q^{54} +(21725.7 - 55356.3i) q^{55} +(18331.2 - 244613. i) q^{56} +(-981208. + 147893. i) q^{57} +(-1.71554e6 - 1.59179e6i) q^{58} +(-2.05129e6 - 987849. i) q^{59} +(-496063. + 338210. i) q^{60} +(493673. + 1.25786e6i) q^{61} +(-5.46939e6 + 1.68708e6i) q^{62} +(265731. - 246563. i) q^{63} +(-1.55859e6 + 1.95441e6i) q^{64} +(60242.9 - 75542.3i) q^{65} +(-1.94165e6 + 1.80159e6i) q^{66} +(3.08590e6 - 951873. i) q^{67} +(-2.44405e6 - 6.22733e6i) q^{68} +(6.71743e6 - 4.57987e6i) q^{69} +(60389.2 + 29081.9i) q^{70} +(-264027. - 244982. i) q^{71} +(7.75617e6 - 1.16905e6i) q^{72} +(243335. - 3.24708e6i) q^{73} +(495897. - 1.26353e6i) q^{74} +(1.28237e6 + 5.61845e6i) q^{75} +(244917. + 3.26819e6i) q^{76} +(186110. + 57407.3i) q^{77} +(-3.87746e6 + 1.86729e6i) q^{78} +(2.82551e6 - 4.89392e6i) q^{79} +(211308. + 365997. i) q^{80} +(-526672. - 359079. i) q^{81} +(1.65897e6 - 7.26841e6i) q^{82} +(30885.4 + 4655.23i) q^{83} +(-1.22600e6 - 1.53735e6i) q^{84} +880578. q^{85} +(1.30776e6 + 1.00107e7i) q^{86} -9.03719e6 q^{87} +(2.62756e6 + 3.29485e6i) q^{88} +(3.41839e6 + 515240. i) q^{89} +(-476925. + 2.08955e6i) q^{90} +(261464. + 178263. i) q^{91} +(-1.34262e7 - 2.32548e7i) q^{92} +(-1.10513e7 + 1.91414e7i) q^{93} +(-4.84669e6 + 2.33404e6i) q^{94} +(-412234. - 127157. i) q^{95} +(241195. + 3.21853e6i) q^{96} +(2.85628e6 + 1.25142e7i) q^{97} +(5.74601e6 - 1.46406e7i) q^{98} +(-465405. + 6.21039e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −12.0734 15.1396i −1.06715 1.33816i −0.938037 0.346534i \(-0.887359\pi\)
−0.129113 0.991630i \(-0.541213\pi\)
\(3\) −73.9419 11.1450i −1.58113 0.238316i −0.701037 0.713125i \(-0.747279\pi\)
−0.880089 + 0.474809i \(0.842517\pi\)
\(4\) −54.9571 + 240.783i −0.429352 + 1.88112i
\(5\) −26.8606 18.3132i −0.0960992 0.0655194i 0.514317 0.857600i \(-0.328045\pi\)
−0.610416 + 0.792081i \(0.708998\pi\)
\(6\) 724.002 + 1254.01i 1.36839 + 2.37012i
\(7\) 53.2365 92.2083i 0.0586632 0.101608i −0.835202 0.549943i \(-0.814650\pi\)
0.893866 + 0.448335i \(0.147983\pi\)
\(8\) 2075.71 999.609i 1.43335 0.690264i
\(9\) 3253.36 + 1003.53i 1.48759 + 0.458861i
\(10\) 47.0442 + 627.761i 0.0148767 + 0.198516i
\(11\) 407.040 + 1783.36i 0.0922068 + 0.403984i 0.999877 0.0157003i \(-0.00499778\pi\)
−0.907670 + 0.419685i \(0.862141\pi\)
\(12\) 6747.15 17191.4i 1.12716 2.87196i
\(13\) −222.107 + 2963.82i −0.0280389 + 0.374153i 0.965479 + 0.260480i \(0.0838808\pi\)
−0.993518 + 0.113673i \(0.963738\pi\)
\(14\) −2038.74 + 307.291i −0.198570 + 0.0299297i
\(15\) 1782.02 + 1653.47i 0.136331 + 0.126496i
\(16\) −11712.4 5640.41i −0.714870 0.344263i
\(17\) −22380.2 + 15258.6i −1.10482 + 0.753256i −0.971316 0.237792i \(-0.923576\pi\)
−0.133507 + 0.991048i \(0.542624\pi\)
\(18\) −24086.2 61370.6i −0.973452 2.48032i
\(19\) 12680.4 3911.39i 0.424127 0.130826i −0.0753415 0.997158i \(-0.524005\pi\)
0.499469 + 0.866332i \(0.333528\pi\)
\(20\) 5885.69 5461.12i 0.164510 0.152643i
\(21\) −4964.06 + 6224.74i −0.116969 + 0.146674i
\(22\) 22085.0 27693.7i 0.442199 0.554500i
\(23\) −79701.0 + 73951.7i −1.36589 + 1.26736i −0.435795 + 0.900046i \(0.643533\pi\)
−0.930096 + 0.367316i \(0.880277\pi\)
\(24\) −164623. + 50779.3i −2.43080 + 0.749804i
\(25\) −28156.2 71740.7i −0.360399 0.918281i
\(26\) 47552.6 32420.8i 0.530600 0.361757i
\(27\) −82033.4 39505.2i −0.802079 0.386261i
\(28\) 19276.4 + 17885.9i 0.165949 + 0.153978i
\(29\) 119505. 18012.5i 0.909900 0.137145i 0.322619 0.946529i \(-0.395437\pi\)
0.587280 + 0.809384i \(0.300199\pi\)
\(30\) 3517.83 46942.2i 0.0237876 0.317423i
\(31\) 107987. 275147.i 0.651038 1.65882i −0.0971004 0.995275i \(-0.530957\pi\)
0.748138 0.663543i \(-0.230948\pi\)
\(32\) −9604.52 42080.1i −0.0518144 0.227014i
\(33\) −10221.9 136402.i −0.0495145 0.660725i
\(34\) 501214. + 154604.i 2.18699 + 0.674598i
\(35\) −3118.59 + 1501.83i −0.0122948 + 0.00592085i
\(36\) −420428. + 728203.i −1.50187 + 2.60132i
\(37\) 35047.9 + 60704.8i 0.113751 + 0.197023i 0.917280 0.398243i \(-0.130380\pi\)
−0.803529 + 0.595266i \(0.797047\pi\)
\(38\) −212313. 144753.i −0.627674 0.427941i
\(39\) 49454.6 216675.i 0.133500 0.584901i
\(40\) −74060.7 11162.9i −0.182969 0.0275782i
\(41\) 240046. + 301009.i 0.543941 + 0.682080i 0.975499 0.220005i \(-0.0706074\pi\)
−0.431558 + 0.902085i \(0.642036\pi\)
\(42\) 154173. 0.321097
\(43\) −446290. 269524.i −0.856008 0.516962i
\(44\) −451772. −0.799530
\(45\) −69009.3 86534.9i −0.112892 0.141562i
\(46\) 2.08186e6 + 313790.i 3.15355 + 0.475321i
\(47\) 61816.6 270836.i 0.0868486 0.380509i −0.912760 0.408497i \(-0.866053\pi\)
0.999608 + 0.0279885i \(0.00891017\pi\)
\(48\) 803178. + 547598.i 1.04826 + 0.714689i
\(49\) 406103. + 703391.i 0.493117 + 0.854104i
\(50\) −746184. + 1.29243e6i −0.844211 + 1.46222i
\(51\) 1.82489e6 878821.i 1.92638 0.927695i
\(52\) −701430. 216362.i −0.691787 0.213388i
\(53\) −26654.6 355681.i −0.0245927 0.328167i −0.995908 0.0903721i \(-0.971194\pi\)
0.971315 0.237795i \(-0.0764247\pi\)
\(54\) 392331. + 1.71892e6i 0.339058 + 1.48551i
\(55\) 21725.7 55356.3i 0.0176078 0.0448639i
\(56\) 18331.2 244613.i 0.0139487 0.186132i
\(57\) −981208. + 147893.i −0.701777 + 0.105776i
\(58\) −1.71554e6 1.59179e6i −1.15452 1.07124i
\(59\) −2.05129e6 987849.i −1.30030 0.626193i −0.349776 0.936833i \(-0.613742\pi\)
−0.950528 + 0.310640i \(0.899457\pi\)
\(60\) −496063. + 338210.i −0.296488 + 0.202142i
\(61\) 493673. + 1.25786e6i 0.278474 + 0.709541i 0.999855 + 0.0170028i \(0.00541243\pi\)
−0.721381 + 0.692538i \(0.756492\pi\)
\(62\) −5.46939e6 + 1.68708e6i −2.91452 + 0.899012i
\(63\) 265731. 246563.i 0.133891 0.124233i
\(64\) −1.55859e6 + 1.95441e6i −0.743194 + 0.931935i
\(65\) 60242.9 75542.3i 0.0272088 0.0341188i
\(66\) −1.94165e6 + 1.80159e6i −0.831318 + 0.771351i
\(67\) 3.08590e6 951873.i 1.25349 0.386649i 0.404243 0.914652i \(-0.367535\pi\)
0.849243 + 0.528003i \(0.177059\pi\)
\(68\) −2.44405e6 6.22733e6i −0.942602 2.40171i
\(69\) 6.71743e6 4.57987e6i 2.46168 1.67834i
\(70\) 60389.2 + 29081.9i 0.0210434 + 0.0101340i
\(71\) −264027. 244982.i −0.0875477 0.0812324i 0.635185 0.772360i \(-0.280924\pi\)
−0.722733 + 0.691128i \(0.757114\pi\)
\(72\) 7.75617e6 1.16905e6i 2.44897 0.369123i
\(73\) 243335. 3.24708e6i 0.0732108 0.976930i −0.832772 0.553616i \(-0.813248\pi\)
0.905983 0.423314i \(-0.139133\pi\)
\(74\) 495897. 1.26353e6i 0.142259 0.362471i
\(75\) 1.28237e6 + 5.61845e6i 0.350994 + 1.53781i
\(76\) 244917. + 3.26819e6i 0.0639987 + 0.854003i
\(77\) 186110. + 57407.3i 0.0464571 + 0.0143301i
\(78\) −3.87746e6 + 1.86729e6i −0.925158 + 0.445533i
\(79\) 2.82551e6 4.89392e6i 0.644766 1.11677i −0.339590 0.940574i \(-0.610288\pi\)
0.984356 0.176193i \(-0.0563783\pi\)
\(80\) 211308. + 365997.i 0.0461426 + 0.0799213i
\(81\) −526672. 359079.i −0.110114 0.0750745i
\(82\) 1.65897e6 7.26841e6i 0.332269 1.45576i
\(83\) 30885.4 + 4655.23i 0.00592898 + 0.000893651i 0.152006 0.988380i \(-0.451427\pi\)
−0.146077 + 0.989273i \(0.546665\pi\)
\(84\) −1.22600e6 1.53735e6i −0.225690 0.283007i
\(85\) 880578. 0.155526
\(86\) 1.30776e6 + 1.00107e7i 0.221710 + 1.69716i
\(87\) −9.03719e6 −1.47135
\(88\) 2.62756e6 + 3.29485e6i 0.411020 + 0.515403i
\(89\) 3.41839e6 + 515240.i 0.513992 + 0.0774719i 0.400917 0.916114i \(-0.368692\pi\)
0.113076 + 0.993586i \(0.463930\pi\)
\(90\) −476925. + 2.08955e6i −0.0689607 + 0.302136i
\(91\) 261464. + 178263.i 0.0363720 + 0.0247980i
\(92\) −1.34262e7 2.32548e7i −1.79761 3.11354i
\(93\) −1.10513e7 + 1.91414e7i −1.42470 + 2.46765i
\(94\) −4.84669e6 + 2.33404e6i −0.601863 + 0.289842i
\(95\) −412234. 127157.i −0.0493300 0.0152163i
\(96\) 241195. + 3.21853e6i 0.0278240 + 0.371286i
\(97\) 2.85628e6 + 1.25142e7i 0.317760 + 1.39220i 0.841471 + 0.540302i \(0.181690\pi\)
−0.523711 + 0.851896i \(0.675453\pi\)
\(98\) 5.74601e6 1.46406e7i 0.616701 1.57133i
\(99\) −465405. + 6.21039e6i −0.0482067 + 0.643274i
\(100\) 1.88213e7 2.83686e6i 1.88213 0.283686i
\(101\) 570824. + 529647.i 0.0551286 + 0.0511519i 0.707256 0.706957i \(-0.249933\pi\)
−0.652127 + 0.758109i \(0.726123\pi\)
\(102\) −3.53377e7 1.70177e7i −3.29714 1.58782i
\(103\) 5.87946e6 4.00855e6i 0.530160 0.361457i −0.268461 0.963290i \(-0.586515\pi\)
0.798622 + 0.601833i \(0.205563\pi\)
\(104\) 2.50163e6 + 6.37404e6i 0.218075 + 0.555646i
\(105\) 247333. 76292.0i 0.0208506 0.00643156i
\(106\) −5.06305e6 + 4.69783e6i −0.412897 + 0.383113i
\(107\) 7.59629e6 9.52545e6i 0.599458 0.751696i −0.385836 0.922568i \(-0.626087\pi\)
0.985293 + 0.170871i \(0.0546582\pi\)
\(108\) 1.40205e7 1.75811e7i 1.07098 1.34296i
\(109\) −8.86773e6 + 8.22805e6i −0.655873 + 0.608561i −0.936252 0.351328i \(-0.885730\pi\)
0.280380 + 0.959889i \(0.409540\pi\)
\(110\) −1.10038e6 + 339421.i −0.0788254 + 0.0243144i
\(111\) −1.91496e6 4.87923e6i −0.132901 0.338627i
\(112\) −1.14362e6 + 779708.i −0.0769165 + 0.0524407i
\(113\) 426408. + 205347.i 0.0278004 + 0.0133880i 0.447732 0.894168i \(-0.352232\pi\)
−0.419932 + 0.907556i \(0.637946\pi\)
\(114\) 1.40856e7 + 1.30695e7i 0.890447 + 0.826214i
\(115\) 3.49511e6 526802.i 0.214298 0.0323002i
\(116\) −2.23055e6 + 2.97647e7i −0.132681 + 1.77051i
\(117\) −3.69687e6 + 9.41948e6i −0.213395 + 0.543721i
\(118\) 9.81045e6 + 4.29824e7i 0.549670 + 2.40826i
\(119\) 215523. + 2.87595e6i 0.0117241 + 0.156447i
\(120\) 5.35178e6 + 1.65081e6i 0.282725 + 0.0872091i
\(121\) 1.45426e7 7.00337e6i 0.746268 0.359384i
\(122\) 1.30832e7 2.26607e7i 0.652308 1.12983i
\(123\) −1.43948e7 2.49325e7i −0.697488 1.20808i
\(124\) 6.03160e7 + 4.11227e7i 2.84090 + 1.93689i
\(125\) −1.12267e6 + 4.91875e6i −0.0514124 + 0.225252i
\(126\) −6.94114e6 1.04621e6i −0.309125 0.0465931i
\(127\) 2.68628e6 + 3.36849e6i 0.116369 + 0.145922i 0.836604 0.547808i \(-0.184537\pi\)
−0.720235 + 0.693730i \(0.755966\pi\)
\(128\) 4.28817e7 1.80733
\(129\) 2.99957e7 + 2.49030e7i 1.23026 + 1.02138i
\(130\) −1.87102e6 −0.0746924
\(131\) −1.73527e7 2.17596e7i −0.674399 0.845669i 0.320426 0.947273i \(-0.396174\pi\)
−0.994825 + 0.101604i \(0.967602\pi\)
\(132\) 3.34049e7 + 5.03498e6i 1.26416 + 0.190541i
\(133\) 314398. 1.37747e6i 0.0115878 0.0507693i
\(134\) −5.16683e7 3.52268e7i −1.85506 1.26476i
\(135\) 1.47999e6 + 2.56343e6i 0.0517717 + 0.0896711i
\(136\) −3.12022e7 + 5.40438e7i −1.06365 + 1.84230i
\(137\) 4.69650e7 2.26172e7i 1.56046 0.751478i 0.563261 0.826279i \(-0.309546\pi\)
0.997198 + 0.0748011i \(0.0238322\pi\)
\(138\) −1.50440e8 4.64045e7i −4.87288 1.50308i
\(139\) −2.73661e6 3.65175e7i −0.0864294 1.15332i −0.856774 0.515692i \(-0.827535\pi\)
0.770345 0.637628i \(-0.220084\pi\)
\(140\) −190227. 833439.i −0.00585901 0.0256700i
\(141\) −7.58930e6 + 1.93372e7i −0.228000 + 0.580935i
\(142\) −521208. + 6.95504e6i −0.0152757 + 0.203840i
\(143\) −5.37596e6 + 810295.i −0.153737 + 0.0231722i
\(144\) −3.24445e7 3.01041e7i −0.905466 0.840150i
\(145\) −3.53984e6 1.70470e6i −0.0964263 0.0464365i
\(146\) −5.20974e7 + 3.55194e7i −1.38542 + 0.944563i
\(147\) −2.21888e7 5.65361e7i −0.576133 1.46796i
\(148\) −1.65428e7 + 5.10277e6i −0.419462 + 0.129387i
\(149\) 4.15832e7 3.85836e7i 1.02983 0.955545i 0.0307997 0.999526i \(-0.490195\pi\)
0.999032 + 0.0439811i \(0.0140041\pi\)
\(150\) 6.95784e7 8.72485e7i 1.68327 2.11076i
\(151\) 3.86813e7 4.85048e7i 0.914286 1.14648i −0.0745126 0.997220i \(-0.523740\pi\)
0.988798 0.149258i \(-0.0476885\pi\)
\(152\) 2.24110e7 2.07944e7i 0.517617 0.480279i
\(153\) −8.81233e7 + 2.71824e7i −1.98917 + 0.613576i
\(154\) −1.37786e6 3.51073e6i −0.0304006 0.0774596i
\(155\) −7.93942e6 + 5.41300e6i −0.171249 + 0.116756i
\(156\) 4.94537e7 + 2.38157e7i 1.04295 + 0.502257i
\(157\) 3.39274e7 + 3.14801e7i 0.699685 + 0.649213i 0.947559 0.319580i \(-0.103542\pi\)
−0.247875 + 0.968792i \(0.579732\pi\)
\(158\) −1.08206e8 + 1.63094e7i −2.18248 + 0.328956i
\(159\) −1.99316e6 + 2.65968e7i −0.0393234 + 0.524734i
\(160\) −512640. + 1.30619e6i −0.00989447 + 0.0252107i
\(161\) 2.57596e6 + 1.12860e7i 0.0486462 + 0.213133i
\(162\) 922426. + 1.23089e7i 0.0170462 + 0.227466i
\(163\) −3.27636e7 1.01062e7i −0.592563 0.182782i −0.0160527 0.999871i \(-0.505110\pi\)
−0.576511 + 0.817090i \(0.695586\pi\)
\(164\) −8.56699e7 + 4.12565e7i −1.51661 + 0.730363i
\(165\) −2.22339e6 + 3.85102e6i −0.0385319 + 0.0667393i
\(166\) −302415. 523797.i −0.00513126 0.00888761i
\(167\) 2.51157e7 + 1.71236e7i 0.417290 + 0.284504i 0.753708 0.657209i \(-0.228263\pi\)
−0.336418 + 0.941713i \(0.609216\pi\)
\(168\) −4.08165e6 + 1.78829e7i −0.0664130 + 0.290974i
\(169\) 5.33128e7 + 8.03561e6i 0.849626 + 0.128061i
\(170\) −1.06316e7 1.33316e7i −0.165969 0.208119i
\(171\) 4.51792e7 0.690959
\(172\) 8.94237e7 9.26468e7i 1.33999 1.38829i
\(173\) −1.34384e8 −1.97326 −0.986631 0.162972i \(-0.947892\pi\)
−0.986631 + 0.162972i \(0.947892\pi\)
\(174\) 1.09110e8 + 1.36819e8i 1.57015 + 1.96891i
\(175\) −8.11402e6 1.22299e6i −0.114447 0.0172501i
\(176\) 5.29145e6 2.31834e7i 0.0731611 0.320540i
\(177\) 1.40667e8 + 9.59050e7i 1.90671 + 1.29997i
\(178\) −3.34712e7 5.79738e7i −0.444837 0.770480i
\(179\) −2.71301e7 + 4.69907e7i −0.353562 + 0.612387i −0.986871 0.161512i \(-0.948363\pi\)
0.633309 + 0.773899i \(0.281696\pi\)
\(180\) 2.46287e7 1.18605e7i 0.314765 0.151583i
\(181\) −1.25224e8 3.86264e7i −1.56968 0.484183i −0.616697 0.787201i \(-0.711530\pi\)
−0.952985 + 0.303018i \(0.902006\pi\)
\(182\) −457934. 6.11071e6i −0.00563058 0.0751349i
\(183\) −2.24844e7 9.85105e7i −0.271208 1.18824i
\(184\) −9.15132e7 + 2.33172e8i −1.08298 + 2.75940i
\(185\) 170293. 2.27240e6i 0.00197741 0.0263867i
\(186\) 4.23220e8 6.37901e7i 4.82248 0.726872i
\(187\) −3.63212e7 3.37011e7i −0.406176 0.376876i
\(188\) 6.18155e7 + 2.97688e7i 0.678492 + 0.326744i
\(189\) −8.00987e6 + 5.46104e6i −0.0862997 + 0.0588381i
\(190\) 3.05196e6 + 7.77627e6i 0.0322806 + 0.0822496i
\(191\) 6.40635e6 1.97610e6i 0.0665264 0.0205207i −0.261313 0.965254i \(-0.584156\pi\)
0.327840 + 0.944733i \(0.393679\pi\)
\(192\) 1.37027e8 1.27142e8i 1.39718 1.29639i
\(193\) 7.56757e7 9.48944e7i 0.757715 0.950145i −0.242083 0.970256i \(-0.577830\pi\)
0.999798 + 0.0201109i \(0.00640192\pi\)
\(194\) 1.54975e8 1.94332e8i 1.52389 1.91090i
\(195\) −5.29640e6 + 4.91434e6i −0.0511516 + 0.0474618i
\(196\) −1.91683e8 + 5.91263e7i −1.81839 + 0.560899i
\(197\) 2.53075e7 + 6.44824e7i 0.235840 + 0.600910i 0.998972 0.0453325i \(-0.0144347\pi\)
−0.763132 + 0.646242i \(0.776339\pi\)
\(198\) 9.96419e7 6.79347e7i 0.912250 0.621961i
\(199\) 5.61301e7 + 2.70308e7i 0.504905 + 0.243150i 0.668956 0.743302i \(-0.266742\pi\)
−0.164050 + 0.986452i \(0.552456\pi\)
\(200\) −1.30157e8 1.20768e8i −1.15043 1.06745i
\(201\) −2.38786e8 + 3.59911e7i −2.07406 + 0.312615i
\(202\) 1.12684e6 1.50367e7i 0.00961910 0.128358i
\(203\) 4.70113e6 1.19783e7i 0.0394426 0.100498i
\(204\) 1.11314e8 + 4.87700e8i 0.918006 + 4.02205i
\(205\) −935343. 1.24813e7i −0.00758284 0.101186i
\(206\) −1.31673e8 4.06158e7i −1.04945 0.323712i
\(207\) −3.33509e8 + 1.60609e8i −2.61343 + 1.25856i
\(208\) 1.93186e7 3.34607e7i 0.148852 0.257818i
\(209\) 1.21369e7 + 2.10217e7i 0.0919591 + 0.159278i
\(210\) −4.14118e6 2.82341e6i −0.0308572 0.0210381i
\(211\) −4.62734e7 + 2.02737e8i −0.339111 + 1.48574i 0.461812 + 0.886978i \(0.347199\pi\)
−0.800924 + 0.598767i \(0.795658\pi\)
\(212\) 8.71067e7 + 1.31292e7i 0.627879 + 0.0946376i
\(213\) 1.67924e7 + 2.10570e7i 0.119065 + 0.149303i
\(214\) −2.35925e8 −1.64560
\(215\) 7.05175e6 + 1.54126e7i 0.0483908 + 0.105765i
\(216\) −2.09767e8 −1.41628
\(217\) −1.96220e7 2.46052e7i −0.130357 0.163462i
\(218\) 2.31633e8 + 3.49131e7i 1.51427 + 0.228239i
\(219\) −5.41813e7 + 2.37384e8i −0.348574 + 1.52720i
\(220\) 1.21348e7 + 8.27340e6i 0.0768343 + 0.0523847i
\(221\) −4.02528e7 6.97198e7i −0.250855 0.434494i
\(222\) −5.07495e7 + 8.79008e7i −0.311313 + 0.539209i
\(223\) 1.35724e8 6.53613e7i 0.819577 0.394688i 0.0233813 0.999727i \(-0.492557\pi\)
0.796196 + 0.605039i \(0.206843\pi\)
\(224\) −4.39145e6 1.35458e6i −0.0261060 0.00805262i
\(225\) −1.96083e7 2.61654e8i −0.114763 1.53140i
\(226\) −2.03933e6 8.93489e6i −0.0117519 0.0514884i
\(227\) 8.36289e7 2.13083e8i 0.474533 1.20909i −0.470584 0.882355i \(-0.655957\pi\)
0.945116 0.326734i \(-0.105948\pi\)
\(228\) 1.83142e7 2.44386e8i 0.102333 1.36554i
\(229\) −1.02576e8 + 1.54608e7i −0.564444 + 0.0850762i −0.425065 0.905163i \(-0.639749\pi\)
−0.139379 + 0.990239i \(0.544511\pi\)
\(230\) −5.01735e7 4.65542e7i −0.271911 0.252297i
\(231\) −1.31215e7 6.31899e6i −0.0700394 0.0337292i
\(232\) 2.30052e8 1.56847e8i 1.20954 0.824647i
\(233\) 1.10061e8 + 2.80431e8i 0.570018 + 1.45238i 0.867394 + 0.497621i \(0.165793\pi\)
−0.297377 + 0.954760i \(0.596112\pi\)
\(234\) 1.87241e8 5.77562e7i 0.955313 0.294675i
\(235\) −6.62031e6 + 6.14275e6i −0.0332768 + 0.0308763i
\(236\) 3.50590e8 4.39626e8i 1.73623 2.17716i
\(237\) −2.63466e8 + 3.30376e8i −1.28560 + 1.61209i
\(238\) 4.09386e7 3.79855e7i 0.196840 0.182641i
\(239\) 3.04560e8 9.39443e7i 1.44305 0.445120i 0.528267 0.849078i \(-0.322842\pi\)
0.914778 + 0.403958i \(0.132366\pi\)
\(240\) −1.15455e7 2.94176e7i −0.0539107 0.137362i
\(241\) 3.51106e7 2.39380e7i 0.161577 0.110161i −0.479832 0.877360i \(-0.659303\pi\)
0.641409 + 0.767199i \(0.278350\pi\)
\(242\) −2.81608e8 1.35615e8i −1.27729 0.615112i
\(243\) 1.80911e8 + 1.67861e8i 0.808806 + 0.750462i
\(244\) −3.30002e8 + 4.97397e7i −1.45429 + 0.219199i
\(245\) 1.97320e6 2.63305e7i 0.00857216 0.114387i
\(246\) −2.03673e8 + 5.18951e8i −0.872291 + 2.22256i
\(247\) 8.77624e6 + 3.84512e7i 0.0370569 + 0.162357i
\(248\) −5.08892e7 6.79070e8i −0.211858 2.82705i
\(249\) −2.23185e6 688433.i −0.00916150 0.00282595i
\(250\) 8.80223e7 4.23893e7i 0.356289 0.171580i
\(251\) −1.13691e8 + 1.96919e8i −0.453805 + 0.786013i −0.998619 0.0525441i \(-0.983267\pi\)
0.544814 + 0.838557i \(0.316600\pi\)
\(252\) 4.47642e7 + 7.75339e7i 0.176209 + 0.305204i
\(253\) −1.64324e8 1.12034e8i −0.637939 0.434939i
\(254\) 1.85650e7 8.13384e7i 0.0710847 0.311442i
\(255\) −6.51116e7 9.81400e6i −0.245905 0.0370643i
\(256\) −3.18230e8 3.99047e8i −1.18550 1.48657i
\(257\) 1.12008e8 0.411608 0.205804 0.978593i \(-0.434019\pi\)
0.205804 + 0.978593i \(0.434019\pi\)
\(258\) 1.48706e7 7.54789e8i 0.0539089 2.73625i
\(259\) 7.46331e6 0.0266921
\(260\) 1.48785e7 + 1.86570e7i 0.0524992 + 0.0658319i
\(261\) 4.06870e8 + 6.13257e7i 1.41649 + 0.213501i
\(262\) −1.19925e8 + 5.25425e8i −0.411959 + 1.80491i
\(263\) −1.00330e8 6.84040e7i −0.340084 0.231865i 0.381219 0.924485i \(-0.375504\pi\)
−0.721303 + 0.692619i \(0.756457\pi\)
\(264\) −1.57566e8 2.72912e8i −0.527046 0.912870i
\(265\) −5.79771e6 + 1.00419e7i −0.0191380 + 0.0331479i
\(266\) −2.46502e7 + 1.18709e7i −0.0803035 + 0.0386721i
\(267\) −2.47020e8 7.61956e7i −0.794224 0.244986i
\(268\) 5.96027e7 + 7.95342e8i 0.189145 + 2.52396i
\(269\) 7.34395e6 + 3.21760e7i 0.0230037 + 0.100786i 0.985126 0.171831i \(-0.0549682\pi\)
−0.962123 + 0.272616i \(0.912111\pi\)
\(270\) 2.09406e7 5.33559e7i 0.0647465 0.164972i
\(271\) −9.27775e6 + 1.23803e8i −0.0283172 + 0.377867i 0.964984 + 0.262310i \(0.0844843\pi\)
−0.993301 + 0.115557i \(0.963135\pi\)
\(272\) 3.48191e8 5.24814e7i 1.04912 0.158130i
\(273\) −1.73464e7 1.60951e7i −0.0515990 0.0478768i
\(274\) −9.09443e8 4.37965e8i −2.67085 1.28621i
\(275\) 1.16479e8 7.94139e7i 0.337740 0.230267i
\(276\) 7.33583e8 + 1.86914e9i 2.10023 + 5.35130i
\(277\) 6.59928e8 2.03561e8i 1.86560 0.575460i 0.868829 0.495112i \(-0.164873\pi\)
0.996767 0.0803482i \(-0.0256032\pi\)
\(278\) −5.19821e8 + 4.82323e8i −1.45110 + 1.34642i
\(279\) 6.27439e8 7.86784e8i 1.72965 2.16891i
\(280\) −4.97204e6 + 6.23474e6i −0.0135357 + 0.0169733i
\(281\) −3.23597e8 + 3.00254e8i −0.870025 + 0.807265i −0.982475 0.186392i \(-0.940321\pi\)
0.112450 + 0.993657i \(0.464130\pi\)
\(282\) 3.84387e8 1.18568e8i 1.02070 0.314843i
\(283\) −1.07437e8 2.73744e8i −0.281773 0.717947i −0.999760 0.0218904i \(-0.993032\pi\)
0.717987 0.696057i \(-0.245064\pi\)
\(284\) 7.34975e7 5.01098e7i 0.190396 0.129810i
\(285\) 2.90642e7 + 1.39966e7i 0.0743706 + 0.0358150i
\(286\) 7.71738e7 + 7.16068e7i 0.195069 + 0.180998i
\(287\) 4.05347e7 6.10962e6i 0.101214 0.0152555i
\(288\) 1.09817e7 1.46540e8i 0.0270891 0.361479i
\(289\) 1.18136e8 3.01006e8i 0.287899 0.733555i
\(290\) 1.69296e7 + 7.41733e7i 0.0407618 + 0.178589i
\(291\) −7.17289e7 9.57156e8i −0.170635 2.27697i
\(292\) 7.68469e8 + 2.37041e8i 1.80629 + 0.557165i
\(293\) 2.59024e8 1.24739e8i 0.601594 0.289712i −0.108192 0.994130i \(-0.534506\pi\)
0.709786 + 0.704418i \(0.248792\pi\)
\(294\) −5.88039e8 + 1.01851e9i −1.34956 + 2.33750i
\(295\) 3.70081e7 + 6.40999e7i 0.0839304 + 0.145372i
\(296\) 1.33430e8 + 9.09712e7i 0.299043 + 0.203884i
\(297\) 3.70611e7 1.62375e8i 0.0820863 0.359643i
\(298\) −1.08619e9 1.63717e8i −2.37766 0.358375i
\(299\) −2.01477e8 2.52644e8i −0.435890 0.546588i
\(300\) −1.42330e9 −3.04349
\(301\) −4.86113e7 + 2.68031e7i −0.102744 + 0.0566504i
\(302\) −1.20136e9 −2.50986
\(303\) −3.63049e7 4.55249e7i −0.0749750 0.0940157i
\(304\) −1.70581e8 2.57109e7i −0.348235 0.0524879i
\(305\) 9.77511e6 4.28275e7i 0.0197275 0.0864318i
\(306\) 1.47548e9 + 1.00597e9i 2.94380 + 2.00705i
\(307\) 8.04756e7 + 1.39388e8i 0.158738 + 0.274942i 0.934414 0.356190i \(-0.115924\pi\)
−0.775676 + 0.631131i \(0.782591\pi\)
\(308\) −2.40507e7 + 4.16571e7i −0.0469031 + 0.0812385i
\(309\) −4.79414e8 + 2.30874e8i −0.924391 + 0.445163i
\(310\) 1.77807e8 + 5.48461e7i 0.338986 + 0.104563i
\(311\) 5.37380e7 + 7.17083e8i 0.101302 + 1.35179i 0.783852 + 0.620947i \(0.213252\pi\)
−0.682550 + 0.730839i \(0.739129\pi\)
\(312\) −1.13937e8 4.99189e8i −0.212384 0.930517i
\(313\) 2.95075e8 7.51839e8i 0.543910 1.38586i −0.349634 0.936886i \(-0.613694\pi\)
0.893545 0.448974i \(-0.148211\pi\)
\(314\) 6.69751e7 8.93720e8i 0.122084 1.62910i
\(315\) −1.16530e7 + 1.75641e6i −0.0210064 + 0.00316621i
\(316\) 1.02309e9 + 9.49290e8i 1.82394 + 1.69236i
\(317\) 3.94177e8 + 1.89826e8i 0.694998 + 0.334693i 0.747812 0.663911i \(-0.231105\pi\)
−0.0528135 + 0.998604i \(0.516819\pi\)
\(318\) 4.26729e8 2.90939e8i 0.744145 0.507349i
\(319\) 8.07661e7 + 2.05789e8i 0.139303 + 0.354939i
\(320\) 7.76561e7 2.39537e7i 0.132480 0.0408647i
\(321\) −6.67845e8 + 6.19670e8i −1.12696 + 1.04567i
\(322\) 1.39765e8 1.75260e8i 0.233294 0.292541i
\(323\) −2.24108e8 + 2.81023e8i −0.370040 + 0.464016i
\(324\) 1.15404e8 1.07080e8i 0.188501 0.174904i
\(325\) 2.18880e8 6.75155e7i 0.353683 0.109097i
\(326\) 2.42565e8 + 6.18044e8i 0.387762 + 0.988002i
\(327\) 7.47398e8 5.09567e8i 1.18205 0.805906i
\(328\) 7.99157e8 + 3.84854e8i 1.25047 + 0.602195i
\(329\) −2.16825e7 2.01184e7i −0.0335678 0.0311464i
\(330\) 8.51467e7 1.28338e7i 0.130427 0.0196588i
\(331\) 4.39601e6 5.86607e7i 0.00666286 0.0889097i −0.992881 0.119111i \(-0.961996\pi\)
0.999544 + 0.0302010i \(0.00961473\pi\)
\(332\) −2.81827e6 + 7.18084e6i −0.00422668 + 0.0107694i
\(333\) 5.31045e7 + 2.32666e8i 0.0788092 + 0.345286i
\(334\) −4.39883e7 5.86983e8i −0.0645988 0.862011i
\(335\) −1.00321e8 3.09448e7i −0.145792 0.0449709i
\(336\) 9.32514e7 4.49075e7i 0.134112 0.0645850i
\(337\) −1.76028e8 + 3.04890e8i −0.250541 + 0.433949i −0.963675 0.267079i \(-0.913942\pi\)
0.713134 + 0.701028i \(0.247275\pi\)
\(338\) −5.22012e8 9.04151e8i −0.735313 1.27360i
\(339\) −2.92409e7 1.99361e7i −0.0407653 0.0277933i
\(340\) −4.83940e7 + 2.12028e8i −0.0667752 + 0.292561i
\(341\) 5.34641e8 + 8.05842e7i 0.730166 + 0.110055i
\(342\) −5.45468e8 6.83995e8i −0.737357 0.924617i
\(343\) 1.74163e8 0.233038
\(344\) −1.19579e9 1.13338e8i −1.58380 0.150114i
\(345\) −2.64306e8 −0.346530
\(346\) 1.62247e9 + 2.03451e9i 2.10577 + 2.64055i
\(347\) −1.19759e9 1.80508e8i −1.53871 0.231923i −0.675724 0.737154i \(-0.736169\pi\)
−0.862984 + 0.505231i \(0.831407\pi\)
\(348\) 4.96658e8 2.17600e9i 0.631727 2.76778i
\(349\) 9.48508e8 + 6.46682e8i 1.19441 + 0.814332i 0.986491 0.163815i \(-0.0523800\pi\)
0.207915 + 0.978147i \(0.433332\pi\)
\(350\) 7.94484e7 + 1.37609e8i 0.0990483 + 0.171557i
\(351\) 1.35306e8 2.34357e8i 0.167010 0.289270i
\(352\) 7.11346e7 3.42566e7i 0.0869324 0.0418644i
\(353\) −3.15759e8 9.73987e7i −0.382071 0.117853i 0.0977694 0.995209i \(-0.468829\pi\)
−0.479840 + 0.877356i \(0.659305\pi\)
\(354\) −2.46367e8 3.28754e9i −0.295169 3.93876i
\(355\) 2.60552e6 + 1.14155e7i 0.00309097 + 0.0135424i
\(356\) −3.11926e8 + 7.94774e8i −0.366417 + 0.933616i
\(357\) 1.61162e7 2.15055e8i 0.0187466 0.250156i
\(358\) 1.03897e9 1.56600e8i 1.19678 0.180385i
\(359\) 2.84986e8 + 2.64428e8i 0.325082 + 0.301632i 0.825783 0.563989i \(-0.190734\pi\)
−0.500701 + 0.865620i \(0.666924\pi\)
\(360\) −2.29744e8 1.10639e8i −0.259529 0.124983i
\(361\) −5.93057e8 + 4.04340e8i −0.663470 + 0.452346i
\(362\) 9.27091e8 + 2.36219e9i 1.02717 + 2.61719i
\(363\) −1.15336e9 + 3.55766e8i −1.26559 + 0.390383i
\(364\) −5.72920e7 + 5.31592e7i −0.0622643 + 0.0577729i
\(365\) −6.60007e7 + 8.27622e7i −0.0710434 + 0.0890855i
\(366\) −1.21995e9 + 1.52976e9i −1.30064 + 1.63095i
\(367\) 1.07817e9 1.00040e9i 1.13856 1.05643i 0.140768 0.990043i \(-0.455043\pi\)
0.997794 0.0663883i \(-0.0211476\pi\)
\(368\) 1.35061e9 4.16608e8i 1.41274 0.435773i
\(369\) 4.78887e8 + 1.22018e9i 0.496182 + 1.26425i
\(370\) −3.64593e7 + 2.48575e7i −0.0374199 + 0.0255124i
\(371\) −3.42157e7 1.64774e7i −0.0347870 0.0167525i
\(372\) −4.00157e9 3.71291e9i −4.03023 3.73951i
\(373\) −1.00344e9 + 1.51245e8i −1.00118 + 0.150904i −0.629123 0.777306i \(-0.716586\pi\)
−0.372058 + 0.928210i \(0.621348\pi\)
\(374\) −7.17004e7 + 9.56775e8i −0.0708714 + 0.945713i
\(375\) 1.37832e8 3.51190e8i 0.134971 0.343900i
\(376\) −1.42417e8 6.23970e8i −0.138167 0.605349i
\(377\) 2.68428e7 + 3.58192e8i 0.0258008 + 0.344287i
\(378\) 1.79385e8 + 5.53328e7i 0.170830 + 0.0526940i
\(379\) 9.10947e8 4.38689e8i 0.859520 0.413923i 0.0484175 0.998827i \(-0.484582\pi\)
0.811102 + 0.584904i \(0.198868\pi\)
\(380\) 5.32724e7 9.22706e7i 0.0498035 0.0862622i
\(381\) −1.61087e8 2.79011e8i −0.149219 0.258454i
\(382\) −1.07264e8 7.31313e7i −0.0984537 0.0671246i
\(383\) −4.50718e7 + 1.97472e8i −0.0409930 + 0.179602i −0.991280 0.131774i \(-0.957933\pi\)
0.950287 + 0.311376i \(0.100790\pi\)
\(384\) −3.17076e9 4.77915e8i −2.85761 0.430716i
\(385\) −3.94770e6 4.95026e6i −0.00352559 0.00442095i
\(386\) −2.35033e9 −2.08005
\(387\) −1.18147e9 1.32473e9i −1.03618 1.16182i
\(388\) −3.17017e9 −2.75532
\(389\) −2.86049e7 3.58694e7i −0.0246386 0.0308959i 0.769360 0.638816i \(-0.220575\pi\)
−0.793998 + 0.607920i \(0.792004\pi\)
\(390\) 1.38347e8 + 2.08524e7i 0.118098 + 0.0178004i
\(391\) 6.55327e8 2.87118e9i 0.554421 2.42908i
\(392\) 1.54607e9 + 1.05409e9i 1.29637 + 0.883847i
\(393\) 1.04058e9 + 1.80234e9i 0.864772 + 1.49783i
\(394\) 6.70689e8 1.16167e9i 0.552440 0.956853i
\(395\) −1.65518e8 + 7.97094e7i −0.135131 + 0.0650758i
\(396\) −1.46978e9 4.53367e8i −1.18937 0.366873i
\(397\) 6.66153e7 + 8.88919e8i 0.0534327 + 0.713009i 0.958016 + 0.286713i \(0.0925628\pi\)
−0.904584 + 0.426296i \(0.859818\pi\)
\(398\) −2.68447e8 1.17614e9i −0.213436 0.935123i
\(399\) −3.85991e7 + 9.83488e7i −0.0304209 + 0.0775111i
\(400\) −7.48700e7 + 9.99071e8i −0.0584922 + 0.780524i
\(401\) −3.60238e8 + 5.42972e7i −0.278987 + 0.0420506i −0.287045 0.957917i \(-0.592673\pi\)
0.00805815 + 0.999968i \(0.497435\pi\)
\(402\) 3.42785e9 + 3.18058e9i 2.63167 + 2.44183i
\(403\) 7.91500e8 + 3.81166e8i 0.602398 + 0.290099i
\(404\) −1.58901e8 + 1.08337e8i −0.119892 + 0.0817411i
\(405\) 7.57081e6 + 1.92901e7i 0.00566305 + 0.0144292i
\(406\) −2.38105e8 + 7.34457e7i −0.176574 + 0.0544660i
\(407\) −9.39925e7 + 8.72123e7i −0.0691055 + 0.0641206i
\(408\) 2.90947e9 3.64835e9i 2.12081 2.65942i
\(409\) 7.17475e8 8.99685e8i 0.518532 0.650218i −0.451765 0.892137i \(-0.649205\pi\)
0.970296 + 0.241919i \(0.0777768\pi\)
\(410\) −1.77669e8 + 1.64852e8i −0.127311 + 0.118128i
\(411\) −3.72475e9 + 1.14893e9i −2.64637 + 0.816298i
\(412\) 6.42071e8 + 1.63597e9i 0.452317 + 1.15249i
\(413\) −2.00291e8 + 1.36556e8i −0.139906 + 0.0953864i
\(414\) 6.45816e9 + 3.11008e9i 4.47309 + 2.15413i
\(415\) −744348. 690654.i −0.000511220 0.000474342i
\(416\) 1.26851e8 1.91197e7i 0.0863908 0.0130213i
\(417\) −2.04636e8 + 2.73068e9i −0.138199 + 1.84414i
\(418\) 1.71726e8 4.37551e8i 0.115006 0.293030i
\(419\) −4.42950e8 1.94069e9i −0.294175 1.28887i −0.878655 0.477457i \(-0.841559\pi\)
0.584480 0.811408i \(-0.301299\pi\)
\(420\) 4.77712e6 + 6.37462e7i 0.00314625 + 0.0419838i
\(421\) 1.71610e9 + 5.29348e8i 1.12087 + 0.345743i 0.799174 0.601099i \(-0.205270\pi\)
0.321697 + 0.946843i \(0.395747\pi\)
\(422\) 3.62803e9 1.74717e9i 2.35005 1.13173i
\(423\) 4.72904e8 8.19094e8i 0.303796 0.526190i
\(424\) −4.10869e8 7.11646e8i −0.261772 0.453402i
\(425\) 1.72480e9 + 1.17595e9i 1.08988 + 0.743066i
\(426\) 1.16053e8 5.08460e8i 0.0727313 0.318657i
\(427\) 1.42266e8 + 2.14432e7i 0.0884311 + 0.0133288i
\(428\) 1.87609e9 + 2.35255e9i 1.15665 + 1.45039i
\(429\) 4.06539e8 0.248601
\(430\) 1.48202e8 2.92843e8i 0.0898904 0.177622i
\(431\) 2.58860e9 1.55738 0.778691 0.627408i \(-0.215884\pi\)
0.778691 + 0.627408i \(0.215884\pi\)
\(432\) 7.37985e8 + 9.25404e8i 0.440407 + 0.552253i
\(433\) −2.28855e9 3.44944e8i −1.35473 0.204193i −0.568785 0.822486i \(-0.692586\pi\)
−0.785947 + 0.618293i \(0.787824\pi\)
\(434\) −1.35608e8 + 5.94137e8i −0.0796289 + 0.348877i
\(435\) 2.42744e8 + 1.65500e8i 0.141396 + 0.0964019i
\(436\) −1.49383e9 2.58738e9i −0.863173 1.49506i
\(437\) −7.21388e8 + 1.24948e9i −0.413508 + 0.716217i
\(438\) 4.24805e9 2.04575e9i 2.41563 1.16331i
\(439\) −1.58630e9 4.89308e8i −0.894868 0.276030i −0.186987 0.982362i \(-0.559872\pi\)
−0.707881 + 0.706332i \(0.750348\pi\)
\(440\) −1.02383e7 1.36621e8i −0.00572986 0.0764596i
\(441\) 6.15327e8 + 2.69592e9i 0.341642 + 1.49683i
\(442\) −5.69541e8 + 1.45117e9i −0.313724 + 0.799355i
\(443\) −1.15033e7 + 1.53501e8i −0.00628650 + 0.0838875i −0.999465 0.0327202i \(-0.989583\pi\)
0.993178 + 0.116608i \(0.0372020\pi\)
\(444\) 1.28008e9 1.92940e8i 0.694057 0.104612i
\(445\) −8.23842e7 7.64414e7i −0.0443184 0.0411214i
\(446\) −2.62820e9 1.26567e9i −1.40277 0.675538i
\(447\) −3.50476e9 + 2.38950e9i −1.85602 + 1.26541i
\(448\) 9.72389e7 + 2.47761e8i 0.0510937 + 0.130185i
\(449\) 9.70889e8 2.99480e8i 0.506183 0.156137i −0.0311373 0.999515i \(-0.509913\pi\)
0.537320 + 0.843378i \(0.319437\pi\)
\(450\) −3.72460e9 + 3.45592e9i −1.92680 + 1.78780i
\(451\) −4.39098e8 + 5.50612e8i −0.225395 + 0.282636i
\(452\) −7.28782e7 + 9.13864e7i −0.0371205 + 0.0465476i
\(453\) −3.40076e9 + 3.15544e9i −1.71883 + 1.59484i
\(454\) −4.23568e9 + 1.30653e9i −2.12436 + 0.655277i
\(455\) −3.75850e6 9.57650e6i −0.00187057 0.00476614i
\(456\) −1.88887e9 + 1.28781e9i −0.932877 + 0.636025i
\(457\) 2.42630e8 + 1.16845e8i 0.118915 + 0.0572666i 0.492396 0.870372i \(-0.336121\pi\)
−0.373480 + 0.927638i \(0.621836\pi\)
\(458\) 1.47251e9 + 1.36629e9i 0.716192 + 0.664529i
\(459\) 2.43872e9 3.67577e8i 1.17711 0.177421i
\(460\) −6.52359e7 + 8.70513e8i −0.0312489 + 0.416987i
\(461\) 2.11191e8 5.38106e8i 0.100397 0.255808i −0.871846 0.489780i \(-0.837077\pi\)
0.972243 + 0.233972i \(0.0751723\pi\)
\(462\) 6.27547e7 + 2.74946e8i 0.0296074 + 0.129718i
\(463\) −2.61501e8 3.48949e9i −0.122445 1.63391i −0.633060 0.774103i \(-0.718201\pi\)
0.510615 0.859809i \(-0.329418\pi\)
\(464\) −1.50129e9 4.63088e8i −0.697674 0.215204i
\(465\) 6.47384e8 3.11764e8i 0.298591 0.143794i
\(466\) 2.91680e9 5.05205e9i 1.33523 2.31269i
\(467\) −2.03157e9 3.51878e9i −0.923045 1.59876i −0.794675 0.607035i \(-0.792359\pi\)
−0.128370 0.991726i \(-0.540975\pi\)
\(468\) −2.06488e9 1.40781e9i −0.931181 0.634868i
\(469\) 7.65116e7 3.35219e8i 0.0342470 0.150046i
\(470\) 1.72929e8 + 2.60648e7i 0.0768289 + 0.0115801i
\(471\) −2.15782e9 2.70582e9i −0.951572 1.19323i
\(472\) −5.24534e9 −2.29603
\(473\) 2.99001e8 9.05604e8i 0.129915 0.393481i
\(474\) 8.18270e9 3.52917
\(475\) −6.37638e8 7.99573e8i −0.272990 0.342319i
\(476\) −7.04324e8 1.06160e8i −0.299329 0.0451165i
\(477\) 2.70219e8 1.18391e9i 0.113999 0.499463i
\(478\) −5.09936e9 3.47668e9i −2.13559 1.45602i
\(479\) 5.42069e7 + 9.38892e7i 0.0225362 + 0.0390338i 0.877074 0.480356i \(-0.159493\pi\)
−0.854537 + 0.519390i \(0.826159\pi\)
\(480\) 5.24630e7 9.08685e7i 0.0216525 0.0375033i
\(481\) −1.87702e8 + 9.03926e7i −0.0769062 + 0.0370361i
\(482\) −7.86317e8 2.42547e8i −0.319840 0.0986576i
\(483\) −6.46893e7 8.63219e8i −0.0261227 0.348583i
\(484\) 8.87069e8 + 3.88650e9i 0.355630 + 1.55812i
\(485\) 1.52454e8 3.88445e8i 0.0606794 0.154609i
\(486\) 3.57131e8 4.76559e9i 0.141124 1.88317i
\(487\) −1.24585e8 + 1.87782e7i −0.0488782 + 0.00736721i −0.173436 0.984845i \(-0.555487\pi\)
0.124558 + 0.992212i \(0.460249\pi\)
\(488\) 2.28209e9 + 2.11747e9i 0.888921 + 0.824798i
\(489\) 2.30997e9 + 1.11242e9i 0.893358 + 0.430218i
\(490\) −4.22457e8 + 2.88026e8i −0.162217 + 0.110598i
\(491\) 1.18235e9 + 3.01258e9i 0.450776 + 1.14856i 0.958006 + 0.286747i \(0.0925740\pi\)
−0.507231 + 0.861810i \(0.669331\pi\)
\(492\) 6.79440e9 2.09580e9i 2.57201 0.793361i
\(493\) −2.39970e9 + 2.22660e9i −0.901973 + 0.836908i
\(494\) 4.76177e8 5.97107e8i 0.177715 0.222847i
\(495\) 1.26233e8 1.58292e8i 0.0467795 0.0586597i
\(496\) −2.81673e9 + 2.61355e9i −1.03648 + 0.961711i
\(497\) −3.66452e7 + 1.13036e7i −0.0133897 + 0.00413017i
\(498\) 1.65234e7 + 4.21010e7i 0.00599511 + 0.0152753i
\(499\) 6.46073e8 4.40485e8i 0.232771 0.158701i −0.441318 0.897351i \(-0.645489\pi\)
0.674089 + 0.738650i \(0.264536\pi\)
\(500\) −1.12265e9 5.40640e8i −0.401652 0.193425i
\(501\) −1.66626e9 1.54607e9i −0.591987 0.549283i
\(502\) 4.35392e9 6.56248e8i 1.53609 0.231529i
\(503\) 8.89470e7 1.18692e9i 0.0311633 0.415845i −0.959705 0.281010i \(-0.909330\pi\)
0.990868 0.134835i \(-0.0430505\pi\)
\(504\) 3.05115e8 7.77419e8i 0.106159 0.270488i
\(505\) −5.63310e6 2.46802e7i −0.00194638 0.00852765i
\(506\) 2.87801e8 + 3.84044e9i 0.0987564 + 1.31781i
\(507\) −3.85249e9 1.18834e9i −1.31285 0.404960i
\(508\) −9.58704e8 + 4.61687e8i −0.324460 + 0.156252i
\(509\) 5.92605e8 1.02642e9i 0.199183 0.344996i −0.749080 0.662479i \(-0.769504\pi\)
0.948264 + 0.317483i \(0.102838\pi\)
\(510\) 6.37541e8 + 1.10425e9i 0.212820 + 0.368615i
\(511\) −2.86454e8 1.95301e8i −0.0949689 0.0647487i
\(512\) −9.77908e8 + 4.28449e9i −0.321998 + 1.41077i
\(513\) −1.19474e9 1.80078e8i −0.390717 0.0588911i
\(514\) −1.35232e9 1.69576e9i −0.439248 0.550799i
\(515\) −2.31335e8 −0.0746305
\(516\) −7.64470e9 + 5.85386e9i −2.44955 + 1.87572i
\(517\) 5.08161e8 0.161728
\(518\) −9.01077e7 1.12991e8i −0.0284844 0.0357184i
\(519\) 9.93658e9 + 1.49770e9i 3.11997 + 0.470261i
\(520\) 4.95341e7 2.17023e8i 0.0154487 0.0676853i
\(521\) −2.91390e9 1.98666e9i −0.902698 0.615449i 0.0204934 0.999790i \(-0.493476\pi\)
−0.923191 + 0.384341i \(0.874429\pi\)
\(522\) −3.98386e9 6.90025e9i −1.22591 2.12333i
\(523\) −2.08283e9 + 3.60757e9i −0.636646 + 1.10270i 0.349518 + 0.936930i \(0.386345\pi\)
−0.986164 + 0.165773i \(0.946988\pi\)
\(524\) 6.19298e9 2.98238e9i 1.88036 0.905532i
\(525\) 5.86336e8 + 1.80861e8i 0.176844 + 0.0545490i
\(526\) 1.75721e8 + 2.34483e9i 0.0526469 + 0.702524i
\(527\) 1.78157e9 + 7.80557e9i 0.530232 + 2.32310i
\(528\) −6.49638e8 + 1.65525e9i −0.192067 + 0.489378i
\(529\) 6.28949e8 8.39274e9i 0.184723 2.46495i
\(530\) 2.22029e8 3.34655e7i 0.0647804 0.00976408i
\(531\) −5.68225e9 5.27236e9i −1.64699 1.52818i
\(532\) 3.14392e8 + 1.51403e8i 0.0905277 + 0.0435958i
\(533\) −9.45450e8 + 6.44597e8i −0.270454 + 0.184392i
\(534\) 1.82881e9 + 4.65973e9i 0.519725 + 1.32424i
\(535\) −3.78482e8 + 1.16746e8i −0.106858 + 0.0329614i
\(536\) 5.45392e9 5.06050e9i 1.52979 1.41944i
\(537\) 2.52976e9 3.17222e9i 0.704968 0.884002i
\(538\) 3.98464e8 4.99658e8i 0.110319 0.138336i
\(539\) −1.08910e9 + 1.01054e9i −0.299576 + 0.277966i
\(540\) −6.98565e8 + 2.15479e8i −0.190910 + 0.0588879i
\(541\) −1.03297e9 2.63196e9i −0.280476 0.714642i −0.999801 0.0199676i \(-0.993644\pi\)
0.719324 0.694674i \(-0.244452\pi\)
\(542\) 1.98634e9 1.35426e9i 0.535866 0.365347i
\(543\) 8.82879e9 + 4.25172e9i 2.36648 + 1.13963i
\(544\) 8.57033e8 + 7.95211e8i 0.228245 + 0.211781i
\(545\) 3.88874e8 5.86133e7i 0.102901 0.0155099i
\(546\) −3.42430e7 + 4.56941e8i −0.00900322 + 0.120140i
\(547\) 1.19669e9 3.04912e9i 0.312627 0.796562i −0.685053 0.728493i \(-0.740221\pi\)
0.997681 0.0680688i \(-0.0216837\pi\)
\(548\) 2.86476e9 + 1.25513e10i 0.743629 + 3.25805i
\(549\) 3.43800e8 + 4.58769e9i 0.0886752 + 1.18329i
\(550\) −2.60859e9 8.04644e8i −0.668554 0.206222i
\(551\) 1.44492e9 6.95838e8i 0.367971 0.177206i
\(552\) 9.36536e9 1.62213e10i 2.36994 4.10486i
\(553\) −3.00840e8 5.21071e8i −0.0756481 0.131026i
\(554\) −1.10494e10 7.53337e9i −2.76093 1.88237i
\(555\) −3.79176e7 + 1.66128e8i −0.00941490 + 0.0412494i
\(556\) 8.94319e9 + 1.34797e9i 2.20664 + 0.332597i
\(557\) −1.47294e9 1.84701e9i −0.361153 0.452872i 0.567746 0.823204i \(-0.307815\pi\)
−0.928900 + 0.370332i \(0.879244\pi\)
\(558\) −1.94869e10 −4.74814
\(559\) 8.97945e8 1.26286e9i 0.217425 0.305783i
\(560\) 4.49973e7 0.0108275
\(561\) 2.31006e9 + 2.89672e9i 0.552399 + 0.692687i
\(562\) 8.45264e9 + 1.27403e9i 2.00870 + 0.302763i
\(563\) −4.11730e7 + 1.80391e8i −0.00972373 + 0.0426024i −0.979557 0.201167i \(-0.935527\pi\)
0.969833 + 0.243769i \(0.0783839\pi\)
\(564\) −4.23898e9 2.89009e9i −0.994912 0.678320i
\(565\) −7.69299e6 1.33246e7i −0.00179443 0.00310804i
\(566\) −2.84725e9 + 4.93158e9i −0.660036 + 1.14322i
\(567\) −6.11482e7 + 2.94474e7i −0.0140878 + 0.00678433i
\(568\) −7.92930e8 2.44586e8i −0.181558 0.0560032i
\(569\) 3.24218e8 + 4.32638e9i 0.0737809 + 0.984537i 0.904120 + 0.427279i \(0.140528\pi\)
−0.830339 + 0.557258i \(0.811853\pi\)
\(570\) −1.39002e8 6.09007e8i −0.0314383 0.137740i
\(571\) −1.42986e9 + 3.64323e9i −0.321416 + 0.818956i 0.675267 + 0.737574i \(0.264029\pi\)
−0.996683 + 0.0813820i \(0.974067\pi\)
\(572\) 1.00342e8 1.33897e9i 0.0224180 0.299147i
\(573\) −4.95722e8 + 7.47180e7i −0.110077 + 0.0165914i
\(574\) −5.81890e8 5.39915e8i −0.128425 0.119161i
\(575\) 7.54942e9 + 3.63561e9i 1.65606 + 0.797517i
\(576\) −7.03197e9 + 4.79431e9i −1.53320 + 1.04532i
\(577\) −1.85392e9 4.72370e9i −0.401767 1.02369i −0.978407 0.206688i \(-0.933732\pi\)
0.576640 0.816999i \(-0.304364\pi\)
\(578\) −5.98342e9 + 1.84564e9i −1.28885 + 0.397557i
\(579\) −6.65320e9 + 6.17327e9i −1.42448 + 1.32172i
\(580\) 6.05001e8 7.58647e8i 0.128753 0.161451i
\(581\) 2.07348e6 2.60006e6i 0.000438615 0.000550006i
\(582\) −1.36249e10 + 1.26421e10i −2.86486 + 2.65821i
\(583\) 6.23458e8 1.92311e8i 0.130307 0.0401943i
\(584\) −2.74072e9 6.98324e9i −0.569403 1.45082i
\(585\) 2.71801e8 1.85311e8i 0.0561314 0.0382697i
\(586\) −5.01581e9 2.41549e9i −1.02967 0.495865i
\(587\) 1.36166e9 + 1.26344e9i 0.277866 + 0.257822i 0.806778 0.590855i \(-0.201209\pi\)
−0.528912 + 0.848677i \(0.677400\pi\)
\(588\) 1.48324e10 2.23562e9i 3.00877 0.453500i
\(589\) 2.93116e8 3.91136e9i 0.0591066 0.788723i
\(590\) 5.23632e8 1.33419e9i 0.104965 0.267446i
\(591\) −1.15263e9 5.05000e9i −0.229686 1.00632i
\(592\) −6.80965e7 9.08685e8i −0.0134896 0.180006i
\(593\) 3.38109e8 + 1.04293e8i 0.0665833 + 0.0205382i 0.327868 0.944724i \(-0.393670\pi\)
−0.261285 + 0.965262i \(0.584146\pi\)
\(594\) −2.90575e9 + 1.39934e9i −0.568860 + 0.273949i
\(595\) 4.68789e7 8.11966e7i 0.00912363 0.0158026i
\(596\) 7.00497e9 + 1.21330e10i 1.35533 + 2.34750i
\(597\) −3.84911e9 2.62428e9i −0.740372 0.504777i
\(598\) −1.39241e9 + 6.10056e9i −0.266265 + 1.16658i
\(599\) −4.57023e9 6.88851e8i −0.868848 0.130958i −0.300536 0.953771i \(-0.597165\pi\)
−0.568313 + 0.822813i \(0.692404\pi\)
\(600\) 8.27808e9 + 1.03804e10i 1.56459 + 1.96193i
\(601\) 4.97651e9 0.935113 0.467556 0.883963i \(-0.345135\pi\)
0.467556 + 0.883963i \(0.345135\pi\)
\(602\) 9.92694e8 + 4.12350e8i 0.185450 + 0.0770332i
\(603\) 1.09948e10 2.04209
\(604\) 9.55331e9 + 1.19795e10i 1.76411 + 2.21212i
\(605\) −5.18878e8 7.82082e7i −0.0952623 0.0143585i
\(606\) −2.50904e8 + 1.09928e9i −0.0457988 + 0.200658i
\(607\) 3.39764e9 + 2.31647e9i 0.616619 + 0.420404i 0.830942 0.556359i \(-0.187802\pi\)
−0.214323 + 0.976763i \(0.568754\pi\)
\(608\) −2.86381e8 4.96027e8i −0.0516752 0.0895041i
\(609\) −4.81108e8 + 8.33303e8i −0.0863142 + 0.149500i
\(610\) −7.66411e8 + 3.69084e8i −0.136712 + 0.0658371i
\(611\) 7.88979e8 + 2.43368e8i 0.139933 + 0.0431637i
\(612\) −1.70206e9 2.27124e10i −0.300155 4.00529i
\(613\) 2.26219e9 + 9.91128e9i 0.396658 + 1.73787i 0.640408 + 0.768035i \(0.278765\pi\)
−0.243749 + 0.969838i \(0.578377\pi\)
\(614\) 1.13866e9 2.90126e9i 0.198520 0.505821i
\(615\) −6.99422e7 + 9.33314e8i −0.0121249 + 0.161795i
\(616\) 4.43695e8 6.68762e7i 0.0764807 0.0115276i
\(617\) −2.01262e9 1.86744e9i −0.344957 0.320073i 0.488599 0.872508i \(-0.337508\pi\)
−0.833556 + 0.552436i \(0.813699\pi\)
\(618\) 9.28350e9 + 4.47070e9i 1.58217 + 0.761931i
\(619\) −7.08238e9 + 4.82869e9i −1.20022 + 0.818299i −0.987315 0.158773i \(-0.949246\pi\)
−0.212909 + 0.977072i \(0.568294\pi\)
\(620\) −8.67031e8 2.20916e9i −0.146104 0.372268i
\(621\) 9.45962e9 2.91791e9i 1.58509 0.488934i
\(622\) 1.02075e10 9.47122e9i 1.70081 1.57812i
\(623\) 2.29492e8 2.87774e8i 0.0380242 0.0476809i
\(624\) −1.80137e9 + 2.25885e9i −0.296795 + 0.372170i
\(625\) −4.29343e9 + 3.98372e9i −0.703436 + 0.652693i
\(626\) −1.49451e10 + 4.60995e9i −2.43494 + 0.751080i
\(627\) −6.63138e8 1.68965e9i −0.107440 0.273754i
\(628\) −9.44441e9 + 6.43909e9i −1.52165 + 1.03745i
\(629\) −1.71065e9 8.23804e8i −0.274084 0.131992i
\(630\) 1.67284e8 + 1.55216e8i 0.0266539 + 0.0247312i
\(631\) −4.62646e9 + 6.97327e8i −0.733071 + 0.110493i −0.504960 0.863142i \(-0.668493\pi\)
−0.228111 + 0.973635i \(0.573255\pi\)
\(632\) 9.72924e8 1.29828e10i 0.153309 2.04577i
\(633\) 5.68103e9 1.44750e10i 0.890255 2.26833i
\(634\) −1.88518e9 8.25952e9i −0.293793 1.28719i
\(635\) −1.04671e7 1.39674e8i −0.00162225 0.0216475i
\(636\) −6.29451e9 1.94160e9i −0.970202 0.299268i
\(637\) −2.17492e9 + 1.04739e9i −0.333392 + 0.160553i
\(638\) 2.14043e9 3.70734e9i 0.326309 0.565185i
\(639\) −6.13131e8 1.06197e9i −0.0929608 0.161013i
\(640\) −1.15183e9 7.85302e8i −0.173683 0.118415i
\(641\) −1.47365e8 + 6.45646e8i −0.0220999 + 0.0968259i −0.984775 0.173833i \(-0.944385\pi\)
0.962675 + 0.270659i \(0.0872417\pi\)
\(642\) 1.74447e10 + 2.62937e9i 2.60191 + 0.392174i
\(643\) 6.78771e9 + 8.51152e9i 1.00690 + 1.26261i 0.964659 + 0.263500i \(0.0848770\pi\)
0.0422368 + 0.999108i \(0.486552\pi\)
\(644\) −2.85905e9 −0.421814
\(645\) −3.49648e8 1.21823e9i −0.0513064 0.178760i
\(646\) 6.96033e9 1.01582
\(647\) −6.51173e9 8.16545e9i −0.945217 1.18526i −0.982557 0.185962i \(-0.940460\pi\)
0.0373399 0.999303i \(-0.488112\pi\)
\(648\) −1.45216e9 2.18877e8i −0.209653 0.0316001i
\(649\) 9.26733e8 4.06028e9i 0.133075 0.583042i
\(650\) −3.66479e9 2.49861e9i −0.523422 0.356863i
\(651\) 1.17666e9 + 2.03804e9i 0.167155 + 0.289520i
\(652\) 4.23400e9 7.33350e9i 0.598252 1.03620i
\(653\) 9.08575e9 4.37547e9i 1.27692 0.614934i 0.332326 0.943165i \(-0.392167\pi\)
0.944598 + 0.328231i \(0.106452\pi\)
\(654\) −1.67383e10 5.16308e9i −2.33986 0.721750i
\(655\) 6.76148e7 + 9.02257e8i 0.00940150 + 0.125454i
\(656\) −1.11372e9 4.87950e9i −0.154032 0.674858i
\(657\) 4.05020e9 1.03197e10i 0.557183 1.41968i
\(658\) −4.28026e7 + 5.71161e8i −0.00585706 + 0.0781570i
\(659\) 6.97305e8 1.05102e8i 0.0949126 0.0143058i −0.101414 0.994844i \(-0.532337\pi\)
0.196327 + 0.980539i \(0.437099\pi\)
\(660\) −8.05068e8 7.46994e8i −0.109001 0.101138i
\(661\) −4.58705e9 2.20901e9i −0.617772 0.297503i 0.0987020 0.995117i \(-0.468531\pi\)
−0.716474 + 0.697614i \(0.754245\pi\)
\(662\) −9.41173e8 + 6.41681e8i −0.126086 + 0.0859639i
\(663\) 2.19934e9 + 5.60384e9i 0.293086 + 0.746772i
\(664\) 6.87625e7 2.12104e7i 0.00911515 0.00281165i
\(665\) −3.36708e7 + 3.12419e7i −0.00443995 + 0.00411967i
\(666\) 2.88132e9 3.61306e9i 0.377947 0.473931i
\(667\) −8.19262e9 + 1.02732e10i −1.06901 + 1.34050i
\(668\) −5.50336e9 + 5.10637e9i −0.714349 + 0.662819i
\(669\) −1.07641e10 + 3.32030e9i −1.38992 + 0.428732i
\(670\) 7.42722e8 + 1.89243e9i 0.0954036 + 0.243084i
\(671\) −2.04227e9 + 1.39240e9i −0.260966 + 0.177924i
\(672\) 3.09615e8 + 1.49103e8i 0.0393577 + 0.0189537i
\(673\) 1.00638e10 + 9.33783e9i 1.27265 + 1.18085i 0.974016 + 0.226477i \(0.0727209\pi\)
0.298632 + 0.954368i \(0.403470\pi\)
\(674\) 6.74118e9 1.01607e9i 0.848059 0.127824i
\(675\) −5.24386e8 + 6.99745e9i −0.0656278 + 0.875742i
\(676\) −4.86475e9 + 1.23952e10i −0.605686 + 1.54326i
\(677\) −2.31334e9 1.01354e10i −0.286536 1.25539i −0.889244 0.457433i \(-0.848769\pi\)
0.602708 0.797961i \(-0.294088\pi\)
\(678\) 5.12131e7 + 6.83391e8i 0.00631069 + 0.0842104i
\(679\) 1.30597e9 + 4.02838e8i 0.160099 + 0.0493840i
\(680\) 1.82782e9 8.80233e8i 0.222922 0.107354i
\(681\) −8.55849e9 + 1.48237e10i −1.03844 + 1.79863i
\(682\) −5.23494e9 9.06717e9i −0.631926 1.09453i
\(683\) 1.49440e9 + 1.01886e9i 0.179470 + 0.122361i 0.649723 0.760171i \(-0.274885\pi\)
−0.470253 + 0.882532i \(0.655837\pi\)
\(684\) −2.48292e9 + 1.08784e10i −0.296665 + 1.29977i
\(685\) −1.67570e9 2.52571e8i −0.199195 0.0300239i
\(686\) −2.10274e9 2.63676e9i −0.248686 0.311843i
\(687\) 7.75696e9 0.912732
\(688\) 3.70692e9 + 5.67405e9i 0.433964 + 0.664253i
\(689\) 1.06009e9 0.123474
\(690\) 3.19108e9 + 4.00149e9i 0.369799 + 0.463713i
\(691\) −4.70166e9 7.08662e8i −0.542099 0.0817082i −0.127716 0.991811i \(-0.540764\pi\)
−0.414383 + 0.910103i \(0.636003\pi\)
\(692\) 7.38533e9 3.23572e10i 0.847224 3.71193i
\(693\) 5.47873e8 + 3.73534e8i 0.0625336 + 0.0426347i
\(694\) 1.17262e10 + 2.03104e10i 1.33168 + 2.30654i
\(695\) −5.95247e8 + 1.03100e9i −0.0672590 + 0.116496i
\(696\) −1.87586e10 + 9.03365e9i −2.10895 + 1.01562i
\(697\) −9.96524e9 3.07387e9i −1.11474 0.343851i
\(698\) −1.66124e9 2.21677e10i −0.184900 2.46733i
\(699\) −5.01274e9 2.19623e10i −0.555144 2.43224i
\(700\) 7.40398e8 1.88650e9i 0.0815872 0.207881i
\(701\) 5.32459e8 7.10517e9i 0.0583812 0.779043i −0.888790 0.458315i \(-0.848453\pi\)
0.947171 0.320728i \(-0.103928\pi\)
\(702\) −5.18169e9 + 7.81014e8i −0.565316 + 0.0852077i
\(703\) 6.81863e8 + 6.32676e8i 0.0740207 + 0.0686812i
\(704\) −4.11982e9 1.98400e9i −0.445015 0.214308i
\(705\) 5.57980e8 3.80424e8i 0.0599731 0.0408890i
\(706\) 2.33771e9 + 5.95640e9i 0.250020 + 0.637041i
\(707\) 7.92265e7 2.44381e7i 0.00843145 0.00260076i
\(708\) −3.08229e10 + 2.85995e10i −3.26405 + 3.02860i
\(709\) 3.43369e9 4.30571e9i 0.361826 0.453715i −0.567282 0.823523i \(-0.692005\pi\)
0.929108 + 0.369808i \(0.120577\pi\)
\(710\) 1.41369e8 1.77271e8i 0.0148235 0.0185880i
\(711\) 1.41036e10 1.30862e10i 1.47159 1.36543i
\(712\) 7.61062e9 2.34757e9i 0.790206 0.243746i
\(713\) 1.17409e10 + 2.99153e10i 1.21308 + 3.09087i
\(714\) −3.45043e9 + 2.35246e9i −0.354756 + 0.241868i
\(715\) 1.59240e8 + 7.66861e7i 0.0162923 + 0.00784595i
\(716\) −9.82356e9 9.11493e9i −1.00017 0.928021i
\(717\) −2.35667e10 + 3.55212e9i −2.38772 + 0.359890i
\(718\) 5.62581e8 7.50712e9i 0.0567217 0.756899i
\(719\) −6.07593e9 + 1.54812e10i −0.609624 + 1.55330i 0.208359 + 0.978053i \(0.433188\pi\)
−0.817982 + 0.575243i \(0.804907\pi\)
\(720\) 3.20174e8 + 1.40278e9i 0.0319685 + 0.140063i
\(721\) −5.66196e7 7.55536e8i −0.00562592 0.0750726i
\(722\) 1.32818e10 + 4.09688e9i 1.31334 + 0.405110i
\(723\) −2.86293e9 + 1.37872e9i −0.281726 + 0.135672i
\(724\) 1.61825e10 2.80289e10i 1.58475 2.74487i
\(725\) −4.65703e9 8.06622e9i −0.453865 0.786116i
\(726\) 1.93112e10 + 1.31661e10i 1.87297 + 1.27697i
\(727\) −2.36774e9 + 1.03738e10i −0.228541 + 1.00130i 0.722289 + 0.691591i \(0.243090\pi\)
−0.950830 + 0.309713i \(0.899767\pi\)
\(728\) 7.20917e8 + 1.08661e8i 0.0692509 + 0.0104379i
\(729\) −1.06370e10 1.33383e10i −1.01688 1.27513i
\(730\) 2.04984e9 0.195025
\(731\) 1.41006e10 7.77741e8i 1.33514 0.0736417i
\(732\) 2.49553e10 2.35166
\(733\) −1.09732e9 1.37599e9i −0.102913 0.129048i 0.727708 0.685887i \(-0.240586\pi\)
−0.830621 + 0.556839i \(0.812014\pi\)
\(734\) −2.81628e10 4.24486e9i −2.62869 0.396212i
\(735\) −4.39355e8 + 1.92494e9i −0.0408141 + 0.178818i
\(736\) 3.87739e9 + 2.64356e9i 0.358481 + 0.244409i
\(737\) 2.95361e9 + 5.11581e9i 0.271780 + 0.470737i
\(738\) 1.26913e10 2.19819e10i 1.16227 2.01312i
\(739\) 4.07934e9 1.96451e9i 0.371821 0.179060i −0.238636 0.971109i \(-0.576700\pi\)
0.610457 + 0.792049i \(0.290986\pi\)
\(740\) 5.37797e8 + 1.65888e8i 0.0487873 + 0.0150489i
\(741\) −2.20395e8 2.94097e9i −0.0198993 0.265538i
\(742\) 1.63639e8 + 7.16951e8i 0.0147053 + 0.0644282i
\(743\) 6.65087e9 1.69461e10i 0.594864 1.51569i −0.243121 0.969996i \(-0.578171\pi\)
0.837985 0.545693i \(-0.183734\pi\)
\(744\) −3.80535e9 + 5.07789e10i −0.338758 + 4.52041i
\(745\) −1.82354e9 + 2.74854e8i −0.161573 + 0.0243532i
\(746\) 1.44048e10 + 1.33657e10i 1.27034 + 1.17871i
\(747\) 9.58098e7 + 4.61396e7i 0.00840985 + 0.00404997i
\(748\) 1.01107e10 6.89339e9i 0.883340 0.602251i
\(749\) −4.73926e8 1.20754e9i −0.0412120 0.105006i
\(750\) −6.98097e9 + 2.15334e9i −0.604229 + 0.186380i
\(751\) −3.89826e8 + 3.61706e8i −0.0335839 + 0.0311613i −0.696786 0.717279i \(-0.745387\pi\)
0.663202 + 0.748440i