Properties

Label 43.8.g.a.9.11
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 9.11
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.56596 - 3.21761i) q^{2} +(-90.2338 - 13.6006i) q^{3} +(24.7138 - 108.278i) q^{4} +(394.907 + 269.243i) q^{5} +(187.775 + 325.235i) q^{6} +(265.754 - 460.300i) q^{7} +(-886.424 + 426.880i) q^{8} +(5867.33 + 1809.83i) q^{9} +O(q^{10})\) \(q+(-2.56596 - 3.21761i) q^{2} +(-90.2338 - 13.6006i) q^{3} +(24.7138 - 108.278i) q^{4} +(394.907 + 269.243i) q^{5} +(187.775 + 325.235i) q^{6} +(265.754 - 460.300i) q^{7} +(-886.424 + 426.880i) q^{8} +(5867.33 + 1809.83i) q^{9} +(-146.996 - 1961.52i) q^{10} +(-202.771 - 888.396i) q^{11} +(-3702.67 + 9434.25i) q^{12} +(395.714 - 5280.44i) q^{13} +(-2162.98 + 326.017i) q^{14} +(-31972.1 - 29665.8i) q^{15} +(-9160.16 - 4411.30i) q^{16} +(12435.2 - 8478.20i) q^{17} +(-9231.99 - 23522.7i) q^{18} +(-35528.4 + 10959.1i) q^{19} +(38912.8 - 36105.8i) q^{20} +(-30240.4 + 37920.2i) q^{21} +(-2338.21 + 2932.02i) q^{22} +(54044.6 - 50146.0i) q^{23} +(85791.3 - 26463.1i) q^{24} +(54917.5 + 139927. i) q^{25} +(-18005.8 + 12276.1i) q^{26} +(-325011. - 156517. i) q^{27} +(-43272.7 - 40151.2i) q^{28} +(-50496.2 + 7611.07i) q^{29} +(-13413.8 + 178995. i) q^{30} +(49200.8 - 125362. i) q^{31} +(37333.6 + 163569. i) q^{32} +(6214.08 + 82921.2i) q^{33} +(-59187.7 - 18257.0i) q^{34} +(228881. - 110223. i) q^{35} +(340970. - 590577. i) q^{36} +(-192591. - 333577. i) q^{37} +(126426. + 86195.9i) q^{38} +(-107524. + 471092. i) q^{39} +(-464990. - 70085.9i) q^{40} +(-68716.2 - 86167.4i) q^{41} +199608. q^{42} +(-426531. - 299816. i) q^{43} -101205. q^{44} +(1.82977e6 + 2.29445e6i) q^{45} +(-300026. - 45221.7i) q^{46} +(110701. - 485015. i) q^{47} +(766560. + 522632. i) q^{48} +(270521. + 468556. i) q^{49} +(309316. - 535750. i) q^{50} +(-1.23739e6 + 595894. i) q^{51} +(-561977. - 173347. i) q^{52} +(-37571.0 - 501350. i) q^{53} +(330353. + 1.44737e6i) q^{54} +(159119. - 405428. i) q^{55} +(-39078.5 + 521466. i) q^{56} +(3.35491e6 - 505672. i) q^{57} +(154060. + 142947. i) q^{58} +(-669351. - 322342. i) q^{59} +(-4.00231e6 + 2.72873e6i) q^{60} +(-891742. - 2.27212e6i) q^{61} +(-529611. + 163363. i) q^{62} +(2.39234e6 - 2.21976e6i) q^{63} +(-380890. + 477622. i) q^{64} +(1.57799e6 - 1.97874e6i) q^{65} +(250863. - 232767. i) q^{66} +(3.79893e6 - 1.17181e6i) q^{67} +(-610683. - 1.55599e6i) q^{68} +(-5.55866e6 + 3.78983e6i) q^{69} +(-941953. - 453621. i) q^{70} +(7591.72 + 7044.09i) q^{71} +(-5.97353e6 + 900364. i) q^{72} +(313003. - 4.17673e6i) q^{73} +(-579140. + 1.47563e6i) q^{74} +(-3.05232e6 - 1.33731e7i) q^{75} +(308586. + 4.11779e6i) q^{76} +(-462816. - 142760. i) q^{77} +(1.79169e6 - 862833. i) q^{78} +(-3.71576e6 + 6.43588e6i) q^{79} +(-2.42970e6 - 4.20836e6i) q^{80} +(1.61031e7 + 1.09789e7i) q^{81} +(-100930. + 442204. i) q^{82} +(-3.36469e6 - 507145. i) q^{83} +(3.35858e6 + 4.21153e6i) q^{84} +7.19345e6 q^{85} +(129771. + 2.14172e6i) q^{86} +4.65998e6 q^{87} +(558979. + 700937. i) q^{88} +(-4.11687e6 - 620519. i) q^{89} +(2.68755e6 - 1.17749e7i) q^{90} +(-2.32542e6 - 1.58545e6i) q^{91} +(-4.09408e6 - 7.09115e6i) q^{92} +(-6.14457e6 + 1.06427e7i) q^{93} +(-1.84464e6 + 888333. i) q^{94} +(-1.69811e7 - 5.23796e6i) q^{95} +(-1.14412e6 - 1.52672e7i) q^{96} +(1.22168e6 + 5.35253e6i) q^{97} +(813484. - 2.07272e6i) q^{98} +(418125. - 5.57950e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.56596 3.21761i −0.226801 0.284399i 0.655391 0.755290i \(-0.272504\pi\)
−0.882191 + 0.470891i \(0.843933\pi\)
\(3\) −90.2338 13.6006i −1.92950 0.290826i −0.932059 0.362306i \(-0.881990\pi\)
−0.997442 + 0.0714804i \(0.977228\pi\)
\(4\) 24.7138 108.278i 0.193077 0.845924i
\(5\) 394.907 + 269.243i 1.41286 + 0.963273i 0.998588 + 0.0531210i \(0.0169169\pi\)
0.414274 + 0.910152i \(0.364035\pi\)
\(6\) 187.775 + 325.235i 0.354902 + 0.614707i
\(7\) 265.754 460.300i 0.292845 0.507222i −0.681637 0.731691i \(-0.738731\pi\)
0.974481 + 0.224469i \(0.0720648\pi\)
\(8\) −886.424 + 426.880i −0.612106 + 0.294775i
\(9\) 5867.33 + 1809.83i 2.68282 + 0.827541i
\(10\) −146.996 1961.52i −0.0464841 0.620287i
\(11\) −202.771 888.396i −0.0459336 0.201248i 0.946754 0.321957i \(-0.104341\pi\)
−0.992688 + 0.120708i \(0.961483\pi\)
\(12\) −3702.67 + 9434.25i −0.618558 + 1.57606i
\(13\) 395.714 5280.44i 0.0499551 0.666605i −0.914876 0.403735i \(-0.867712\pi\)
0.964831 0.262870i \(-0.0846690\pi\)
\(14\) −2162.98 + 326.017i −0.210671 + 0.0317535i
\(15\) −31972.1 29665.8i −2.44598 2.26953i
\(16\) −9160.16 4411.30i −0.559092 0.269244i
\(17\) 12435.2 8478.20i 0.613879 0.418535i −0.216068 0.976378i \(-0.569323\pi\)
0.829947 + 0.557843i \(0.188371\pi\)
\(18\) −9231.99 23522.7i −0.373114 0.950679i
\(19\) −35528.4 + 10959.1i −1.18833 + 0.366552i −0.825014 0.565113i \(-0.808833\pi\)
−0.363319 + 0.931665i \(0.618356\pi\)
\(20\) 38912.8 36105.8i 1.08765 1.00919i
\(21\) −30240.4 + 37920.2i −0.712557 + 0.893518i
\(22\) −2338.21 + 2932.02i −0.0468170 + 0.0587067i
\(23\) 54044.6 50146.0i 0.926200 0.859388i −0.0641553 0.997940i \(-0.520435\pi\)
0.990355 + 0.138552i \(0.0442448\pi\)
\(24\) 85791.3 26463.1i 1.26679 0.390752i
\(25\) 54917.5 + 139927.i 0.702943 + 1.79107i
\(26\) −18005.8 + 12276.1i −0.200911 + 0.136979i
\(27\) −325011. 156517.i −3.17778 1.53034i
\(28\) −43272.7 40151.2i −0.372530 0.345657i
\(29\) −50496.2 + 7611.07i −0.384473 + 0.0579499i −0.338435 0.940990i \(-0.609898\pi\)
−0.0460377 + 0.998940i \(0.514659\pi\)
\(30\) −13413.8 + 178995.i −0.0907042 + 1.21036i
\(31\) 49200.8 125362.i 0.296624 0.755786i −0.702407 0.711775i \(-0.747891\pi\)
0.999031 0.0440102i \(-0.0140134\pi\)
\(32\) 37333.6 + 163569.i 0.201407 + 0.882423i
\(33\) 6214.08 + 82921.2i 0.0301008 + 0.401667i
\(34\) −59187.7 18257.0i −0.258259 0.0796624i
\(35\) 228881. 110223.i 0.902342 0.434545i
\(36\) 340970. 590577.i 1.21803 2.10969i
\(37\) −192591. 333577.i −0.625071 1.08266i −0.988527 0.151044i \(-0.951737\pi\)
0.363456 0.931611i \(-0.381597\pi\)
\(38\) 126426. + 86195.9i 0.373761 + 0.254826i
\(39\) −107524. + 471092.i −0.290254 + 1.27169i
\(40\) −464990. 70085.9i −1.14877 0.173149i
\(41\) −68716.2 86167.4i −0.155710 0.195254i 0.697857 0.716237i \(-0.254137\pi\)
−0.853567 + 0.520983i \(0.825566\pi\)
\(42\) 199608. 0.415724
\(43\) −426531. 299816.i −0.818109 0.575063i
\(44\) −101205. −0.179110
\(45\) 1.82977e6 + 2.29445e6i 2.99331 + 3.75349i
\(46\) −300026. 45221.7i −0.454472 0.0685006i
\(47\) 110701. 485015.i 0.155529 0.681416i −0.835692 0.549199i \(-0.814933\pi\)
0.991221 0.132218i \(-0.0422098\pi\)
\(48\) 766560. + 522632.i 1.00047 + 0.682106i
\(49\) 270521. + 468556.i 0.328484 + 0.568951i
\(50\) 309316. 535750.i 0.349951 0.606132i
\(51\) −1.23739e6 + 595894.i −1.30620 + 0.629033i
\(52\) −561977. 173347.i −0.554252 0.170964i
\(53\) −37571.0 501350.i −0.0346647 0.462568i −0.987344 0.158592i \(-0.949305\pi\)
0.952680 0.303976i \(-0.0983144\pi\)
\(54\) 330353. + 1.44737e6i 0.285496 + 1.25084i
\(55\) 159119. 405428.i 0.128959 0.328583i
\(56\) −39078.5 + 521466.i −0.0297358 + 0.396797i
\(57\) 3.35491e6 505672.i 2.39949 0.361665i
\(58\) 154060. + 142947.i 0.103680 + 0.0962005i
\(59\) −669351. 322342.i −0.424299 0.204331i 0.209534 0.977801i \(-0.432805\pi\)
−0.633833 + 0.773470i \(0.718519\pi\)
\(60\) −4.00231e6 + 2.72873e6i −2.39211 + 1.63092i
\(61\) −891742. 2.27212e6i −0.503020 1.28167i −0.926680 0.375852i \(-0.877350\pi\)
0.423660 0.905821i \(-0.360745\pi\)
\(62\) −529611. + 163363.i −0.282219 + 0.0870531i
\(63\) 2.39234e6 2.21976e6i 1.20540 1.11845i
\(64\) −380890. + 477622.i −0.181623 + 0.227748i
\(65\) 1.57799e6 1.97874e6i 0.712702 0.893700i
\(66\) 250863. 232767.i 0.107407 0.0996591i
\(67\) 3.79893e6 1.17181e6i 1.54312 0.475989i 0.597665 0.801746i \(-0.296095\pi\)
0.945453 + 0.325757i \(0.105619\pi\)
\(68\) −610683. 1.55599e6i −0.235524 0.600104i
\(69\) −5.55866e6 + 3.78983e6i −2.03704 + 1.38883i
\(70\) −941953. 453621.i −0.328236 0.158070i
\(71\) 7591.72 + 7044.09i 0.00251731 + 0.00233572i 0.681430 0.731883i \(-0.261358\pi\)
−0.678913 + 0.734219i \(0.737549\pi\)
\(72\) −5.97353e6 + 900364.i −1.88611 + 0.284285i
\(73\) 313003. 4.17673e6i 0.0941712 1.25663i −0.727277 0.686344i \(-0.759214\pi\)
0.821448 0.570283i \(-0.193166\pi\)
\(74\) −579140. + 1.47563e6i −0.166139 + 0.423316i
\(75\) −3.05232e6 1.33731e7i −0.835441 3.66031i
\(76\) 308586. + 4.11779e6i 0.0806359 + 1.07601i
\(77\) −462816. 142760.i −0.115529 0.0356360i
\(78\) 1.79169e6 862833.i 0.427496 0.205871i
\(79\) −3.71576e6 + 6.43588e6i −0.847915 + 1.46863i 0.0351501 + 0.999382i \(0.488809\pi\)
−0.883065 + 0.469250i \(0.844524\pi\)
\(80\) −2.42970e6 4.20836e6i −0.530564 0.918964i
\(81\) 1.61031e7 + 1.09789e7i 3.36676 + 2.29542i
\(82\) −100930. + 442204.i −0.0202149 + 0.0885674i
\(83\) −3.36469e6 507145.i −0.645909 0.0973551i −0.182086 0.983283i \(-0.558285\pi\)
−0.463824 + 0.885928i \(0.653523\pi\)
\(84\) 3.35858e6 + 4.21153e6i 0.618271 + 0.775287i
\(85\) 7.19345e6 1.27049
\(86\) 129771. + 2.14172e6i 0.0220005 + 0.363094i
\(87\) 4.65998e6 0.758694
\(88\) 558979. + 700937.i 0.0874392 + 0.109645i
\(89\) −4.11687e6 620519.i −0.619017 0.0933018i −0.167955 0.985795i \(-0.553716\pi\)
−0.451062 + 0.892493i \(0.648955\pi\)
\(90\) 2.68755e6 1.17749e7i 0.388605 1.70259i
\(91\) −2.32542e6 1.58545e6i −0.323487 0.220550i
\(92\) −4.09408e6 7.09115e6i −0.548149 0.949423i
\(93\) −6.14457e6 + 1.06427e7i −0.792138 + 1.37202i
\(94\) −1.84464e6 + 888333.i −0.229068 + 0.110313i
\(95\) −1.69811e7 5.23796e6i −2.03204 0.626801i
\(96\) −1.14412e6 1.52672e7i −0.131984 1.76121i
\(97\) 1.22168e6 + 5.35253e6i 0.135912 + 0.595467i 0.996309 + 0.0858432i \(0.0273584\pi\)
−0.860397 + 0.509624i \(0.829784\pi\)
\(98\) 813484. 2.07272e6i 0.0873087 0.222459i
\(99\) 418125. 5.57950e6i 0.0433095 0.577925i
\(100\) 1.65083e7 2.48823e6i 1.65083 0.248823i
\(101\) 2.12406e6 + 1.97084e6i 0.205136 + 0.190339i 0.776050 0.630671i \(-0.217220\pi\)
−0.570914 + 0.821010i \(0.693411\pi\)
\(102\) 5.09243e6 + 2.45239e6i 0.475143 + 0.228817i
\(103\) −8.68470e6 + 5.92113e6i −0.783113 + 0.533918i −0.887603 0.460608i \(-0.847631\pi\)
0.104490 + 0.994526i \(0.466679\pi\)
\(104\) 1.90334e6 + 4.84963e6i 0.165920 + 0.422758i
\(105\) −2.21519e7 + 6.83296e6i −1.86745 + 0.576031i
\(106\) −1.51674e6 + 1.40733e6i −0.123692 + 0.114769i
\(107\) 1.38504e7 1.73678e7i 1.09299 1.37057i 0.170142 0.985420i \(-0.445577\pi\)
0.922853 0.385152i \(-0.125851\pi\)
\(108\) −2.49796e7 + 3.13235e7i −1.90811 + 2.39269i
\(109\) 3.79297e6 3.51936e6i 0.280535 0.260298i −0.527338 0.849656i \(-0.676810\pi\)
0.807872 + 0.589358i \(0.200619\pi\)
\(110\) −1.71280e6 + 528329.i −0.122697 + 0.0378469i
\(111\) 1.28414e7 + 3.27193e7i 0.891212 + 2.27077i
\(112\) −4.46488e6 + 3.04410e6i −0.300294 + 0.204737i
\(113\) 8.76755e6 + 4.22223e6i 0.571615 + 0.275275i 0.697282 0.716797i \(-0.254393\pi\)
−0.125666 + 0.992073i \(0.540107\pi\)
\(114\) −1.02356e7 9.49726e6i −0.647063 0.600387i
\(115\) 3.48441e7 5.25190e6i 2.13642 0.322013i
\(116\) −423839. + 5.65574e6i −0.0252115 + 0.336424i
\(117\) 1.18785e7 3.02659e7i 0.685663 1.74704i
\(118\) 680354. + 2.98082e6i 0.0381195 + 0.167013i
\(119\) −597798. 7.97705e6i −0.0325192 0.433939i
\(120\) 4.10046e7 + 1.26482e7i 2.16620 + 0.668183i
\(121\) 1.68092e7 8.09489e6i 0.862578 0.415396i
\(122\) −5.02262e6 + 8.69944e6i −0.250421 + 0.433742i
\(123\) 5.02861e6 + 8.70980e6i 0.243657 + 0.422027i
\(124\) −1.23580e7 8.42554e6i −0.582066 0.396846i
\(125\) −7.67816e6 + 3.36402e7i −0.351619 + 1.54054i
\(126\) −1.32810e7 2.00178e6i −0.591469 0.0891497i
\(127\) 9.12864e6 + 1.14470e7i 0.395452 + 0.495881i 0.939201 0.343367i \(-0.111567\pi\)
−0.543750 + 0.839247i \(0.682996\pi\)
\(128\) 2.39894e7 1.01108
\(129\) 3.44099e7 + 3.28546e7i 1.41130 + 1.34751i
\(130\) −1.04159e7 −0.415809
\(131\) 4.79145e6 + 6.00829e6i 0.186216 + 0.233508i 0.866173 0.499745i \(-0.166573\pi\)
−0.679957 + 0.733252i \(0.738001\pi\)
\(132\) 9.13214e6 + 1.37645e6i 0.345592 + 0.0520896i
\(133\) −4.39737e6 + 1.92661e7i −0.162074 + 0.710091i
\(134\) −1.35183e7 9.21663e6i −0.485351 0.330907i
\(135\) −8.62079e7 1.49316e8i −3.01563 5.22323i
\(136\) −7.40372e6 + 1.28236e7i −0.252385 + 0.437144i
\(137\) −1.78625e7 + 8.60210e6i −0.593498 + 0.285813i −0.706423 0.707790i \(-0.749692\pi\)
0.112925 + 0.993604i \(0.463978\pi\)
\(138\) 2.64575e7 + 8.16105e6i 0.856982 + 0.264344i
\(139\) −543825. 7.25684e6i −0.0171754 0.229190i −0.999185 0.0403600i \(-0.987150\pi\)
0.982010 0.188830i \(-0.0604695\pi\)
\(140\) −6.27826e6 2.75069e7i −0.193371 0.847214i
\(141\) −1.65855e7 + 4.22591e7i −0.498266 + 1.26956i
\(142\) 3185.08 42502.0i 9.33494e−5 0.00124566i
\(143\) −4.77136e6 + 719167.i −0.136448 + 0.0205662i
\(144\) −4.57620e7 4.24609e7i −1.27713 1.18501i
\(145\) −2.19905e7 1.05901e7i −0.599028 0.288477i
\(146\) −1.42422e7 + 9.71019e6i −0.378741 + 0.258222i
\(147\) −1.80375e7 4.59588e7i −0.468345 1.19332i
\(148\) −4.08788e7 + 1.26094e7i −1.03653 + 0.319727i
\(149\) −2.31428e7 + 2.14734e7i −0.573145 + 0.531801i −0.912617 0.408815i \(-0.865942\pi\)
0.339472 + 0.940616i \(0.389752\pi\)
\(150\) −3.51972e7 + 4.41359e7i −0.851509 + 1.06776i
\(151\) 1.33628e7 1.67564e7i 0.315848 0.396061i −0.598412 0.801189i \(-0.704201\pi\)
0.914260 + 0.405127i \(0.132773\pi\)
\(152\) 2.68150e7 2.48807e7i 0.619335 0.574659i
\(153\) 8.83057e7 2.72387e7i 1.99328 0.614846i
\(154\) 728220. + 1.85547e6i 0.0160672 + 0.0409386i
\(155\) 5.31825e7 3.62592e7i 1.14712 0.782091i
\(156\) 4.83518e7 + 2.32850e7i 1.01971 + 0.491066i
\(157\) −1.04587e7 9.70428e6i −0.215690 0.200131i 0.564927 0.825141i \(-0.308904\pi\)
−0.780617 + 0.625010i \(0.785095\pi\)
\(158\) 3.02426e7 4.55834e6i 0.609985 0.0919405i
\(159\) −3.42847e6 + 4.57497e7i −0.0676410 + 0.902607i
\(160\) −2.92966e7 + 7.46465e7i −0.565454 + 1.44075i
\(161\) −8.71964e6 3.82033e7i −0.164668 0.721456i
\(162\) −5.99405e6 7.99850e7i −0.110769 1.47811i
\(163\) 2.19105e7 + 6.75849e6i 0.396274 + 0.122234i 0.486486 0.873688i \(-0.338278\pi\)
−0.0902123 + 0.995923i \(0.528755\pi\)
\(164\) −1.10283e7 + 5.31095e6i −0.195234 + 0.0940197i
\(165\) −1.98720e7 + 3.44193e7i −0.344387 + 0.596496i
\(166\) 7.00185e6 + 1.21276e7i 0.118805 + 0.205776i
\(167\) −8.66612e6 5.90846e6i −0.143985 0.0981673i 0.489185 0.872180i \(-0.337294\pi\)
−0.633170 + 0.774013i \(0.718247\pi\)
\(168\) 1.06184e7 4.65224e7i 0.172774 0.756972i
\(169\) 3.43212e7 + 5.17309e6i 0.546965 + 0.0824417i
\(170\) −1.84581e7 2.31457e7i −0.288148 0.361326i
\(171\) −2.28291e8 −3.49142
\(172\) −4.30048e7 + 3.87745e7i −0.644417 + 0.581027i
\(173\) 1.21120e6 0.0177851 0.00889255 0.999960i \(-0.497169\pi\)
0.00889255 + 0.999960i \(0.497169\pi\)
\(174\) −1.19573e7 1.49940e7i −0.172072 0.215772i
\(175\) 7.90032e7 + 1.19078e7i 1.11432 + 0.167957i
\(176\) −2.06157e6 + 9.03233e6i −0.0285039 + 0.124884i
\(177\) 5.60141e7 + 3.81897e7i 0.759260 + 0.517655i
\(178\) 8.56713e6 + 1.48387e7i 0.113858 + 0.197209i
\(179\) −3.06638e7 + 5.31112e7i −0.399613 + 0.692151i −0.993678 0.112267i \(-0.964189\pi\)
0.594065 + 0.804417i \(0.297522\pi\)
\(180\) 2.93660e8 1.41419e8i 3.75311 1.80740i
\(181\) 1.71497e7 + 5.28998e6i 0.214972 + 0.0663100i 0.400370 0.916353i \(-0.368881\pi\)
−0.185399 + 0.982663i \(0.559358\pi\)
\(182\) 865589. + 1.15505e7i 0.0106429 + 0.142020i
\(183\) 4.95632e7 + 2.17150e8i 0.597834 + 2.61928i
\(184\) −2.65001e7 + 6.75212e7i −0.313607 + 0.799057i
\(185\) 1.37578e7 1.83586e8i 0.159753 2.13176i
\(186\) 5.00107e7 7.53790e6i 0.569859 0.0858925i
\(187\) −1.00535e7 9.32828e6i −0.112427 0.104317i
\(188\) −4.97807e7 2.39731e7i −0.546397 0.263131i
\(189\) −1.58418e8 + 1.08007e8i −1.70682 + 1.16369i
\(190\) 2.67189e7 + 6.80788e7i 0.282606 + 0.720069i
\(191\) 1.40275e8 4.32690e7i 1.45668 0.449325i 0.537530 0.843244i \(-0.319357\pi\)
0.919145 + 0.393920i \(0.128881\pi\)
\(192\) 4.08651e7 3.79173e7i 0.416676 0.386619i
\(193\) 1.78890e7 2.24320e7i 0.179116 0.224604i −0.684166 0.729326i \(-0.739834\pi\)
0.863282 + 0.504722i \(0.168405\pi\)
\(194\) 1.40876e7 1.76652e7i 0.138525 0.173705i
\(195\) −1.69300e8 + 1.57088e8i −1.63507 + 1.51712i
\(196\) 5.74200e7 1.77117e7i 0.544712 0.168021i
\(197\) −4.14295e7 1.05561e8i −0.386081 0.983718i −0.983357 0.181683i \(-0.941846\pi\)
0.597276 0.802036i \(-0.296250\pi\)
\(198\) −1.90255e7 + 1.29714e7i −0.174184 + 0.118757i
\(199\) 7.11213e7 + 3.42502e7i 0.639755 + 0.308090i 0.725495 0.688228i \(-0.241611\pi\)
−0.0857396 + 0.996318i \(0.527325\pi\)
\(200\) −1.08412e8 1.00592e8i −0.958239 0.889115i
\(201\) −3.58729e8 + 5.40697e7i −3.11588 + 0.469643i
\(202\) 891144. 1.18915e7i 0.00760708 0.101509i
\(203\) −9.91620e6 + 2.52661e7i −0.0831973 + 0.211983i
\(204\) 3.39418e7 + 1.48709e8i 0.279917 + 1.22640i
\(205\) −3.93654e6 5.25295e7i −0.0319136 0.425858i
\(206\) 4.13364e7 + 1.27506e7i 0.329456 + 0.101624i
\(207\) 4.07853e8 1.96412e8i 3.19601 1.53912i
\(208\) −2.69184e7 + 4.66241e7i −0.207409 + 0.359243i
\(209\) 1.69401e7 + 2.93411e7i 0.128352 + 0.222313i
\(210\) 7.88265e7 + 5.37430e7i 0.587361 + 0.400456i
\(211\) −4.79961e6 + 2.10285e7i −0.0351736 + 0.154106i −0.989465 0.144772i \(-0.953755\pi\)
0.954291 + 0.298878i \(0.0966123\pi\)
\(212\) −5.52138e7 8.32215e6i −0.397990 0.0599874i
\(213\) −589227. 738867.i −0.00417786 0.00523887i
\(214\) −9.14222e7 −0.637681
\(215\) −8.77169e7 2.33240e8i −0.601934 1.60055i
\(216\) 3.54911e8 2.39625
\(217\) −4.46286e7 5.59625e7i −0.296486 0.371782i
\(218\) −2.10565e7 3.17376e6i −0.137654 0.0207480i
\(219\) −8.50493e7 + 3.72625e8i −0.547163 + 2.39728i
\(220\) −3.99667e7 2.72488e7i −0.253057 0.172531i
\(221\) −3.98478e7 6.90184e7i −0.248331 0.430122i
\(222\) 7.23274e7 1.25275e8i 0.443678 0.768472i
\(223\) −9.17606e7 + 4.41896e7i −0.554101 + 0.266841i −0.689911 0.723894i \(-0.742351\pi\)
0.135810 + 0.990735i \(0.456636\pi\)
\(224\) 8.52125e7 + 2.62846e7i 0.506565 + 0.156255i
\(225\) 6.89739e7 + 9.20392e8i 0.403688 + 5.38684i
\(226\) −8.91167e6 3.90446e7i −0.0513547 0.224999i
\(227\) −6.26221e7 + 1.59558e8i −0.355334 + 0.905377i 0.635720 + 0.771919i \(0.280703\pi\)
−0.991055 + 0.133457i \(0.957392\pi\)
\(228\) 2.81594e7 3.75761e8i 0.157345 2.09962i
\(229\) 1.73428e8 2.61401e7i 0.954322 0.143841i 0.346620 0.938006i \(-0.387329\pi\)
0.607703 + 0.794165i \(0.292091\pi\)
\(230\) −1.06307e8 9.86383e7i −0.576121 0.534562i
\(231\) 3.98200e7 + 1.91763e7i 0.212549 + 0.102358i
\(232\) 4.15120e7 2.83024e7i 0.218256 0.148804i
\(233\) −1.20991e8 3.08279e8i −0.626623 1.59661i −0.792098 0.610394i \(-0.791011\pi\)
0.165475 0.986214i \(-0.447084\pi\)
\(234\) −1.27864e8 + 3.94407e7i −0.652366 + 0.201228i
\(235\) 1.74304e8 1.61730e8i 0.876131 0.812930i
\(236\) −5.14449e7 + 6.45099e7i −0.254771 + 0.319473i
\(237\) 4.22819e8 5.30198e8i 2.06317 2.58713i
\(238\) −2.41331e7 + 2.23922e7i −0.116036 + 0.107666i
\(239\) −1.44357e8 + 4.45281e7i −0.683981 + 0.210980i −0.617222 0.786789i \(-0.711742\pi\)
−0.0667590 + 0.997769i \(0.521266\pi\)
\(240\) 1.62005e8 + 4.12782e8i 0.756466 + 1.92744i
\(241\) −1.35236e8 + 9.22024e7i −0.622348 + 0.424310i −0.833017 0.553248i \(-0.813388\pi\)
0.210669 + 0.977557i \(0.432436\pi\)
\(242\) −6.91778e7 3.33143e7i −0.313771 0.151104i
\(243\) −7.25404e8 6.73076e8i −3.24308 3.00914i
\(244\) −2.68060e8 + 4.04035e7i −1.18132 + 0.178055i
\(245\) −1.93248e7 + 2.57872e8i −0.0839526 + 1.12027i
\(246\) 1.51215e7 3.85290e7i 0.0647624 0.165012i
\(247\) 4.38095e7 + 1.91942e8i 0.184982 + 0.810459i
\(248\) 9.90151e6 + 1.32126e8i 0.0412212 + 0.550058i
\(249\) 2.96711e8 + 9.15233e7i 1.21797 + 0.375694i
\(250\) 1.27943e8 6.16140e7i 0.517876 0.249396i
\(251\) 1.89582e8 3.28366e8i 0.756727 1.31069i −0.187784 0.982210i \(-0.560131\pi\)
0.944511 0.328479i \(-0.106536\pi\)
\(252\) −1.81228e8 3.13897e8i −0.713386 1.23562i
\(253\) −5.55082e7 3.78448e7i −0.215494 0.146921i
\(254\) 1.34081e7 5.87448e7i 0.0513393 0.224932i
\(255\) −6.49093e8 9.78350e7i −2.45141 0.369491i
\(256\) −1.28019e7 1.60530e7i −0.0476906 0.0598022i
\(257\) −6.69036e7 −0.245857 −0.122929 0.992416i \(-0.539229\pi\)
−0.122929 + 0.992416i \(0.539229\pi\)
\(258\) 1.74189e7 1.95021e8i 0.0631470 0.706989i
\(259\) −2.04727e8 −0.732195
\(260\) −1.75256e8 2.19764e8i −0.618396 0.775444i
\(261\) −3.10053e8 4.67329e7i −1.07943 0.162698i
\(262\) 7.03766e6 3.08340e7i 0.0241754 0.105919i
\(263\) 4.67217e8 + 3.18543e8i 1.58370 + 1.07975i 0.952676 + 0.303986i \(0.0983177\pi\)
0.631025 + 0.775763i \(0.282635\pi\)
\(264\) −4.09057e7 7.08507e7i −0.136826 0.236990i
\(265\) 1.20148e8 2.08102e8i 0.396603 0.686936i
\(266\) 7.32743e7 3.52871e7i 0.238707 0.114955i
\(267\) 3.63042e8 + 1.11984e8i 1.16726 + 0.360052i
\(268\) −3.29960e7 4.40301e8i −0.104710 1.39726i
\(269\) −4.75495e7 2.08328e8i −0.148941 0.652551i −0.993181 0.116586i \(-0.962805\pi\)
0.844240 0.535965i \(-0.180052\pi\)
\(270\) −2.59236e8 + 6.60522e8i −0.801534 + 2.04228i
\(271\) 6.90091e6 9.20863e7i 0.0210627 0.281062i −0.976721 0.214515i \(-0.931183\pi\)
0.997783 0.0665468i \(-0.0211982\pi\)
\(272\) −1.51309e8 + 2.28061e7i −0.455903 + 0.0687163i
\(273\) 1.88269e8 + 1.74688e8i 0.560028 + 0.519630i
\(274\) 7.35124e7 + 3.54017e7i 0.215891 + 0.103967i
\(275\) 1.13175e8 7.71616e7i 0.328161 0.223737i
\(276\) 2.72981e8 + 6.95544e8i 0.781539 + 1.99133i
\(277\) 1.82362e8 5.62513e7i 0.515532 0.159020i −0.0260628 0.999660i \(-0.508297\pi\)
0.541595 + 0.840640i \(0.317821\pi\)
\(278\) −2.19542e7 + 2.03705e7i −0.0612860 + 0.0568651i
\(279\) 5.15561e8 6.46493e8i 1.42123 1.78217i
\(280\) −1.55834e8 + 1.95409e8i −0.424236 + 0.531976i
\(281\) −9.02755e7 + 8.37634e7i −0.242716 + 0.225207i −0.792145 0.610333i \(-0.791036\pi\)
0.549429 + 0.835540i \(0.314845\pi\)
\(282\) 1.78531e8 5.50695e7i 0.474069 0.146231i
\(283\) 1.73815e8 + 4.42873e8i 0.455863 + 1.16152i 0.955423 + 0.295240i \(0.0953997\pi\)
−0.499560 + 0.866279i \(0.666505\pi\)
\(284\) 950342. 647932.i 0.00246187 0.00167848i
\(285\) 1.46103e9 + 7.03594e8i 3.73853 + 1.80038i
\(286\) 1.45571e7 + 1.35070e7i 0.0367954 + 0.0341411i
\(287\) −5.79245e7 + 8.73072e6i −0.144636 + 0.0218003i
\(288\) −7.69842e7 + 1.02728e9i −0.189901 + 2.53406i
\(289\) −6.71584e7 + 1.71117e8i −0.163666 + 0.417014i
\(290\) 2.23520e7 + 9.79305e7i 0.0538175 + 0.235790i
\(291\) −3.74394e7 4.99595e8i −0.0890644 1.18848i
\(292\) −4.44514e8 1.37114e8i −1.04483 0.322287i
\(293\) −4.08951e8 + 1.96940e8i −0.949805 + 0.457402i −0.843618 0.536944i \(-0.819579\pi\)
−0.106187 + 0.994346i \(0.533864\pi\)
\(294\) −1.01594e8 + 1.75966e8i −0.233159 + 0.403843i
\(295\) −1.77543e8 3.07513e8i −0.402649 0.697408i
\(296\) 3.13114e8 + 2.13478e8i 0.701750 + 0.478445i
\(297\) −7.31463e7 + 3.20475e8i −0.162011 + 0.709817i
\(298\) 1.28477e8 + 1.93647e7i 0.281233 + 0.0423891i
\(299\) −2.43407e8 3.05223e8i −0.526603 0.660340i
\(300\) −1.52345e9 −3.25765
\(301\) −2.51358e8 + 1.16655e8i −0.531263 + 0.246559i
\(302\) −8.82040e7 −0.184274
\(303\) −1.64858e8 2.06725e8i −0.340455 0.426918i
\(304\) 3.73790e8 + 5.63397e7i 0.763079 + 0.115016i
\(305\) 2.59598e8 1.13737e9i 0.523904 2.29537i
\(306\) −3.14232e8 2.14240e8i −0.626939 0.427440i
\(307\) −3.55165e8 6.15164e8i −0.700562 1.21341i −0.968270 0.249908i \(-0.919600\pi\)
0.267708 0.963500i \(-0.413734\pi\)
\(308\) −2.68957e7 + 4.65848e7i −0.0524513 + 0.0908482i
\(309\) 8.64185e8 4.16169e8i 1.66629 0.802445i
\(310\) −2.53132e8 7.80808e7i −0.482593 0.148860i
\(311\) 5.59388e7 + 7.46451e8i 0.105451 + 1.40715i 0.759407 + 0.650616i \(0.225489\pi\)
−0.653956 + 0.756533i \(0.726892\pi\)
\(312\) −1.05788e8 4.63487e8i −0.197195 0.863966i
\(313\) −2.42754e8 + 6.18528e8i −0.447468 + 1.14013i 0.512168 + 0.858885i \(0.328842\pi\)
−0.959636 + 0.281244i \(0.909253\pi\)
\(314\) −4.38793e6 + 5.85528e7i −0.00799845 + 0.106732i
\(315\) 1.54241e9 2.32480e8i 2.78043 0.419082i
\(316\) 6.05036e8 + 5.61391e8i 1.07864 + 1.00083i
\(317\) 6.98260e7 + 3.36264e7i 0.123115 + 0.0592889i 0.494427 0.869219i \(-0.335378\pi\)
−0.371313 + 0.928508i \(0.621092\pi\)
\(318\) 1.56002e8 1.06360e8i 0.272041 0.185475i
\(319\) 1.70008e7 + 4.33173e7i 0.0293225 + 0.0747126i
\(320\) −2.79013e8 + 8.60640e7i −0.475991 + 0.146824i
\(321\) −1.48598e9 + 1.37879e9i −2.50753 + 2.32665i
\(322\) −1.00549e8 + 1.26084e8i −0.167835 + 0.210458i
\(323\) −3.48891e8 + 4.37495e8i −0.576077 + 0.722378i
\(324\) 1.58675e9 1.47229e9i 2.59180 2.40484i
\(325\) 7.60610e8 2.34617e8i 1.22905 0.379112i
\(326\) −3.44752e7 8.78413e7i −0.0551118 0.140423i
\(327\) −3.90119e8 + 2.65979e8i −0.616993 + 0.420659i
\(328\) 9.76949e7 + 4.70474e7i 0.152867 + 0.0736168i
\(329\) −1.93833e8 1.79851e8i −0.300083 0.278437i
\(330\) 1.61738e8 2.43781e7i 0.247750 0.0373423i
\(331\) −5.55392e7 + 7.41120e8i −0.0841787 + 1.12329i 0.781909 + 0.623393i \(0.214246\pi\)
−0.866087 + 0.499893i \(0.833373\pi\)
\(332\) −1.38067e8 + 3.51789e8i −0.207065 + 0.527593i
\(333\) −5.26276e8 2.30577e9i −0.781014 3.42184i
\(334\) 3.22578e6 + 4.30450e7i 0.00473720 + 0.0632136i
\(335\) 1.81573e9 + 5.60077e8i 2.63872 + 0.813938i
\(336\) 4.44284e8 2.13956e8i 0.638960 0.307707i
\(337\) −6.21108e8 + 1.07579e9i −0.884020 + 1.53117i −0.0371878 + 0.999308i \(0.511840\pi\)
−0.846832 + 0.531860i \(0.821493\pi\)
\(338\) −7.14218e7 1.23706e8i −0.100606 0.174254i
\(339\) −7.33705e8 5.00232e8i −1.02288 0.697385i
\(340\) 1.77778e8 7.78895e8i 0.245302 1.07474i
\(341\) −1.21347e8 1.82902e7i −0.165726 0.0249791i
\(342\) 5.85785e8 + 7.34551e8i 0.791857 + 0.992957i
\(343\) 7.25289e8 0.970468
\(344\) 5.06073e8 + 8.36867e7i 0.670284 + 0.110841i
\(345\) −3.21554e9 −4.21587
\(346\) −3.10790e6 3.89718e6i −0.00403367 0.00505806i
\(347\) 7.73955e8 + 1.16655e8i 0.994404 + 0.149882i 0.626033 0.779797i \(-0.284678\pi\)
0.368371 + 0.929679i \(0.379916\pi\)
\(348\) 1.15166e8 5.04575e8i 0.146486 0.641797i
\(349\) 8.08386e8 + 5.51148e8i 1.01796 + 0.694032i 0.952724 0.303838i \(-0.0982681\pi\)
0.0652344 + 0.997870i \(0.479220\pi\)
\(350\) −1.64404e8 2.84756e8i −0.204962 0.355005i
\(351\) −9.55089e8 + 1.65426e9i −1.17888 + 2.04188i
\(352\) 1.37744e8 6.63341e7i 0.168335 0.0810657i
\(353\) 8.66933e8 + 2.67413e8i 1.04900 + 0.323573i 0.770884 0.636976i \(-0.219815\pi\)
0.278113 + 0.960548i \(0.410291\pi\)
\(354\) −2.08500e7 2.78224e8i −0.0249802 0.333337i
\(355\) 1.10145e6 + 4.82578e6i 0.00130667 + 0.00572490i
\(356\) −1.68932e8 + 4.30433e8i −0.198444 + 0.505627i
\(357\) −5.45509e7 + 7.27931e8i −0.0634546 + 0.846742i
\(358\) 2.49573e8 3.76171e7i 0.287479 0.0433306i
\(359\) −3.11796e8 2.89304e8i −0.355664 0.330008i 0.482023 0.876158i \(-0.339902\pi\)
−0.837687 + 0.546151i \(0.816093\pi\)
\(360\) −2.60140e9 1.25277e9i −2.93866 1.41518i
\(361\) 4.03614e8 2.75180e8i 0.451535 0.307851i
\(362\) −2.69843e7 6.87548e7i −0.0298972 0.0761769i
\(363\) −1.62685e9 + 5.01818e8i −1.78515 + 0.550647i
\(364\) −2.29140e8 + 2.12610e8i −0.249026 + 0.231063i
\(365\) 1.24816e9 1.56515e9i 1.34353 1.68473i
\(366\) 5.71528e8 7.16673e8i 0.609332 0.764078i
\(367\) 8.80186e7 8.16693e7i 0.0929486 0.0862437i −0.632330 0.774699i \(-0.717901\pi\)
0.725279 + 0.688455i \(0.241711\pi\)
\(368\) −7.16266e8 + 2.20939e8i −0.749216 + 0.231103i
\(369\) −2.47232e8 6.29938e8i −0.256161 0.652688i
\(370\) −6.26008e8 + 4.26805e8i −0.642502 + 0.438050i
\(371\) −2.40756e8 1.15942e8i −0.244776 0.117878i
\(372\) 1.00052e9 + 9.28345e8i 1.00768 + 0.934995i
\(373\) 9.66495e8 1.45676e8i 0.964314 0.145347i 0.352033 0.935987i \(-0.385490\pi\)
0.612281 + 0.790640i \(0.290252\pi\)
\(374\) −4.21791e6 + 5.62841e7i −0.00416915 + 0.0556334i
\(375\) 1.15036e9 2.93106e9i 1.12648 2.87022i
\(376\) 1.08914e8 + 4.77185e8i 0.105664 + 0.462945i
\(377\) 2.02078e7 + 2.69654e8i 0.0194233 + 0.259186i
\(378\) 7.54018e8 + 2.32584e8i 0.718059 + 0.221492i
\(379\) 8.58545e8 4.13453e8i 0.810076 0.390112i 0.0174708 0.999847i \(-0.494439\pi\)
0.792605 + 0.609735i \(0.208724\pi\)
\(380\) −9.86825e8 + 1.70923e9i −0.922566 + 1.59793i
\(381\) −6.68028e8 1.15706e9i −0.618809 1.07181i
\(382\) −4.99162e8 3.40323e8i −0.458162 0.312370i
\(383\) 4.96706e7 2.17621e8i 0.0451755 0.197927i −0.947304 0.320335i \(-0.896205\pi\)
0.992480 + 0.122408i \(0.0390617\pi\)
\(384\) −2.16466e9 3.26270e8i −1.95088 0.294048i
\(385\) −1.44332e8 1.80987e8i −0.128899 0.161635i
\(386\) −1.18080e8 −0.104501
\(387\) −1.95999e9 2.53107e9i −1.71895 2.21981i
\(388\) 6.09755e8 0.529962
\(389\) 1.17133e9 + 1.46880e9i 1.00892 + 1.26514i 0.963930 + 0.266156i \(0.0857537\pi\)
0.0449885 + 0.998988i \(0.485675\pi\)
\(390\) 9.39863e8 + 1.41662e8i 0.802303 + 0.120928i
\(391\) 2.46909e8 1.08178e9i 0.208890 0.915207i
\(392\) −4.39813e8 2.99859e8i −0.368780 0.251430i
\(393\) −3.50635e8 6.07318e8i −0.291394 0.504710i
\(394\) −2.33347e8 + 4.04168e8i −0.192205 + 0.332909i
\(395\) −3.20019e9 + 1.54113e9i −2.61268 + 1.25820i
\(396\) −5.93805e8 1.83165e8i −0.480519 0.148221i
\(397\) −1.36973e7 1.82778e8i −0.0109867 0.146607i 0.989013 0.147832i \(-0.0472294\pi\)
−0.999999 + 0.00122420i \(0.999610\pi\)
\(398\) −7.22904e7 3.16725e8i −0.0574764 0.251821i
\(399\) 6.58822e8 1.67865e9i 0.519234 1.32299i
\(400\) 1.14209e8 1.52402e9i 0.0892259 1.19064i
\(401\) 7.14523e8 1.07697e8i 0.553364 0.0834062i 0.133593 0.991036i \(-0.457349\pi\)
0.419771 + 0.907630i \(0.362110\pi\)
\(402\) 1.09446e9 + 1.01551e9i 0.840249 + 0.779637i
\(403\) −6.42495e8 3.09409e8i −0.488992 0.235486i
\(404\) 2.65893e8 1.81283e8i 0.200619 0.136780i
\(405\) 3.40324e9 + 8.67131e9i 2.54566 + 6.48623i
\(406\) 1.06741e8 3.29252e7i 0.0791570 0.0244167i
\(407\) −2.57297e8 + 2.38737e8i −0.189171 + 0.175525i
\(408\) 8.42475e8 1.05643e9i 0.614110 0.770070i
\(409\) −1.66630e8 + 2.08947e8i −0.120426 + 0.151010i −0.838390 0.545070i \(-0.816503\pi\)
0.717964 + 0.696080i \(0.245074\pi\)
\(410\) −1.58918e8 + 1.47455e8i −0.113876 + 0.105661i
\(411\) 1.72879e9 5.33261e8i 1.22828 0.378873i
\(412\) 4.26498e8 + 1.08670e9i 0.300453 + 0.765541i
\(413\) −3.26257e8 + 2.22438e8i −0.227895 + 0.155376i
\(414\) −1.67851e9 8.08328e8i −1.16258 0.559869i
\(415\) −1.19219e9 1.10619e9i −0.818801 0.759736i
\(416\) 8.78491e8 1.32411e8i 0.598288 0.0901775i
\(417\) −4.96257e7 + 6.62209e8i −0.0335143 + 0.447218i
\(418\) 5.09406e7 1.29795e8i 0.0341151 0.0869239i
\(419\) 1.90501e8 + 8.34640e8i 0.126517 + 0.554307i 0.997962 + 0.0638135i \(0.0203263\pi\)
−0.871445 + 0.490493i \(0.836817\pi\)
\(420\) 1.92403e8 + 2.56744e9i 0.126718 + 1.69094i
\(421\) −2.52388e9 7.78514e8i −1.64847 0.508486i −0.675102 0.737724i \(-0.735900\pi\)
−0.973370 + 0.229238i \(0.926377\pi\)
\(422\) 7.99769e7 3.85148e7i 0.0518049 0.0249479i
\(423\) 1.52732e9 2.64539e9i 0.981156 1.69941i
\(424\) 2.47320e8 + 4.28371e8i 0.157572 + 0.272922i
\(425\) 1.86924e9 + 1.27443e9i 1.18115 + 0.805293i
\(426\) −865453. + 3.79180e6i −0.000542388 + 0.00237636i
\(427\) −1.28284e9 1.93357e8i −0.797399 0.120189i
\(428\) −1.53826e9 1.92892e9i −0.948368 1.18922i
\(429\) 4.40319e8 0.269257
\(430\) −5.25397e8 + 8.80722e8i −0.318675 + 0.534194i
\(431\) 1.18876e9 0.715194 0.357597 0.933876i \(-0.383596\pi\)
0.357597 + 0.933876i \(0.383596\pi\)
\(432\) 2.28671e9 + 2.86744e9i 1.36464 + 1.71120i
\(433\) 2.35812e9 + 3.55430e8i 1.39592 + 0.210400i 0.803535 0.595258i \(-0.202950\pi\)
0.592381 + 0.805658i \(0.298188\pi\)
\(434\) −6.55503e7 + 2.87195e8i −0.0384911 + 0.168641i
\(435\) 1.84026e9 + 1.25467e9i 1.07193 + 0.730829i
\(436\) −2.87332e8 4.97673e8i −0.166028 0.287569i
\(437\) −1.37056e9 + 2.37389e9i −0.785623 + 1.36074i
\(438\) 1.41719e9 6.82485e8i 0.805880 0.388091i
\(439\) −2.12590e9 6.55753e8i −1.19927 0.369926i −0.370137 0.928977i \(-0.620689\pi\)
−0.829133 + 0.559052i \(0.811165\pi\)
\(440\) 3.20222e7 + 4.27306e8i 0.0179212 + 0.239141i
\(441\) 7.39228e8 + 3.23877e9i 0.410434 + 1.79823i
\(442\) −1.19826e8 + 3.05313e8i −0.0660047 + 0.168177i
\(443\) 4.85010e7 6.47201e8i 0.0265056 0.353692i −0.968145 0.250392i \(-0.919441\pi\)
0.994650 0.103301i \(-0.0329404\pi\)
\(444\) 3.86015e9 5.81824e8i 2.09297 0.315465i
\(445\) −1.45871e9 1.35349e9i −0.784711 0.728105i
\(446\) 3.77638e8 + 1.81861e8i 0.201560 + 0.0970661i
\(447\) 2.38032e9 1.62287e9i 1.26055 0.859426i
\(448\) 1.18626e8 + 3.02254e8i 0.0623314 + 0.158818i
\(449\) 2.77232e9 8.55147e8i 1.44538 0.445840i 0.529848 0.848092i \(-0.322249\pi\)
0.915529 + 0.402253i \(0.131773\pi\)
\(450\) 2.78448e9 2.58362e9i 1.44045 1.33655i
\(451\) −6.26172e7 + 7.85195e7i −0.0321422 + 0.0403050i
\(452\) 6.73856e8 8.44988e8i 0.343228 0.430394i
\(453\) −1.43367e9 + 1.33026e9i −0.724614 + 0.672344i
\(454\) 6.74082e8 2.07927e8i 0.338078 0.104283i
\(455\) −4.91456e8 1.25221e9i −0.244593 0.623213i
\(456\) −2.75802e9 + 1.88038e9i −1.36213 + 0.928687i
\(457\) −3.77738e6 1.81909e6i −0.00185133 0.000891555i 0.432958 0.901414i \(-0.357470\pi\)
−0.434809 + 0.900523i \(0.643184\pi\)
\(458\) −5.29117e8 4.90949e8i −0.257349 0.238785i
\(459\) −5.36856e9 + 8.09180e8i −2.59127 + 0.390572i
\(460\) 2.92463e8 3.90265e9i 0.140094 1.86942i
\(461\) −1.01530e9 + 2.58694e9i −0.482659 + 1.22980i 0.457545 + 0.889186i \(0.348729\pi\)
−0.940205 + 0.340610i \(0.889367\pi\)
\(462\) −4.04746e7 1.77331e8i −0.0190957 0.0836638i
\(463\) −2.75241e7 3.67283e8i −0.0128878 0.171976i −0.999933 0.0115362i \(-0.996328\pi\)
0.987046 0.160440i \(-0.0512912\pi\)
\(464\) 4.96128e8 + 1.53035e8i 0.230558 + 0.0711178i
\(465\) −5.29201e9 + 2.54850e9i −2.44082 + 1.17543i
\(466\) −6.81464e8 + 1.18033e9i −0.311955 + 0.540323i
\(467\) −5.14025e8 8.90317e8i −0.233547 0.404516i 0.725302 0.688431i \(-0.241700\pi\)
−0.958850 + 0.283915i \(0.908367\pi\)
\(468\) −2.98358e9 2.03417e9i −1.34548 0.917332i
\(469\) 4.70196e8 2.06006e9i 0.210462 0.922094i
\(470\) −9.67639e8 1.45848e8i −0.429903 0.0647975i
\(471\) 8.11748e8 + 1.01790e9i 0.357971 + 0.448881i
\(472\) 7.30930e8 0.319948
\(473\) −1.79867e8 + 4.39723e8i −0.0781516 + 0.191058i
\(474\) −2.79090e9 −1.20371
\(475\) −3.48460e9 4.36955e9i −1.49185 1.87072i
\(476\) −8.78516e8 1.32415e8i −0.373358 0.0562746i
\(477\) 6.86918e8 3.00958e9i 0.289795 1.26967i
\(478\) 5.13687e8 + 3.50226e8i 0.215130 + 0.146673i
\(479\) 1.85806e9 + 3.21826e9i 0.772479 + 1.33797i 0.936201 + 0.351466i \(0.114317\pi\)
−0.163722 + 0.986506i \(0.552350\pi\)
\(480\) 3.65878e9 6.33719e9i 1.51005 2.61548i
\(481\) −1.83764e9 + 8.84963e8i −0.752928 + 0.362591i
\(482\) 6.43681e8 + 1.98549e8i 0.261822 + 0.0807614i
\(483\) 2.67221e8 + 3.56582e9i 0.107909 + 1.43994i
\(484\) −4.61081e8 2.02013e9i −0.184850 0.809879i
\(485\) −9.58681e8 + 2.44268e9i −0.381573 + 0.972233i
\(486\) −3.04341e8 + 4.06115e9i −0.120263 + 1.60480i
\(487\) −4.89927e8 + 7.38446e7i −0.192212 + 0.0289713i −0.244443 0.969664i \(-0.578605\pi\)
0.0522308 + 0.998635i \(0.483367\pi\)
\(488\) 1.76038e9 + 1.63340e9i 0.685706 + 0.636242i
\(489\) −1.88515e9 9.07840e8i −0.729062 0.351098i
\(490\) 8.79316e8 5.99508e8i 0.337644 0.230202i
\(491\) −9.65400e8 2.45980e9i −0.368063 0.937809i −0.988180 0.153300i \(-0.951010\pi\)
0.620117 0.784509i \(-0.287085\pi\)
\(492\) 1.06736e9 3.29236e8i 0.404047 0.124632i
\(493\) −5.63403e8 + 5.22762e8i −0.211765 + 0.196490i
\(494\) 5.05181e8 6.33477e8i 0.188540 0.236421i
\(495\) 1.66736e9 2.09080e9i 0.617890 0.774810i
\(496\) −1.00370e9 + 9.31293e8i −0.369331 + 0.342689i
\(497\) 5.25993e6 1.62247e6i 0.00192191 0.000592830i
\(498\) −4.66862e8 1.18954e9i −0.169389 0.431597i
\(499\) 1.30328e9 8.88560e8i 0.469554 0.320136i −0.305323 0.952249i \(-0.598764\pi\)
0.774876 + 0.632113i \(0.217812\pi\)
\(500\) 3.45275e9 + 1.66276e9i 1.23529 + 0.594886i
\(501\) 7.01619e8 + 6.51007e8i 0.249270 + 0.231288i
\(502\) −1.54301e9 + 2.32572e8i −0.544385 + 0.0820528i
\(503\) −8.51358e7 + 1.13606e9i −0.0298280 + 0.398027i 0.962229 + 0.272240i \(0.0877646\pi\)
−0.992057 + 0.125787i \(0.959854\pi\)
\(504\) −1.17305e9 + 2.98889e9i −0.408142 + 1.03993i
\(505\) 3.08172e8 + 1.35019e9i 0.106481 + 0.466525i
\(506\) 2.06617e7 + 2.75712e8i 0.00708990 + 0.0946081i
\(507\) −3.02658e9 9.33576e8i −1.03139 0.318143i
\(508\) 1.46506e9 7.05536e8i 0.495830 0.238779i
\(509\) 1.52391e9 2.63948e9i 0.512207 0.887169i −0.487693 0.873015i \(-0.662161\pi\)
0.999900 0.0141536i \(-0.00450539\pi\)
\(510\) 1.35075e9 + 2.33957e9i 0.450899 + 0.780980i
\(511\) −1.83937e9 1.25406e9i −0.609811 0.415762i
\(512\) 6.64480e8 2.91128e9i 0.218795 0.958603i
\(513\) 1.32624e10 + 1.99898e9i 4.33721 + 0.653730i
\(514\) 1.71672e8 + 2.15269e8i 0.0557606 + 0.0699216i
\(515\) −5.02387e9 −1.62074
\(516\) 4.40784e9 2.91388e9i 1.41238 0.933680i
\(517\) −4.53332e8 −0.144278
\(518\) 5.25321e8 + 6.58732e8i 0.166062 + 0.208236i
\(519\) −1.09292e8 1.64731e7i −0.0343164 0.00517236i
\(520\) −5.54087e8 + 2.42761e9i −0.172809 + 0.757126i
\(521\) −2.05529e9 1.40128e9i −0.636711 0.434102i 0.201470 0.979495i \(-0.435428\pi\)
−0.838181 + 0.545393i \(0.816381\pi\)
\(522\) 6.45213e8 + 1.11754e9i 0.198544 + 0.343888i
\(523\) −2.31912e9 + 4.01683e9i −0.708870 + 1.22780i 0.256407 + 0.966569i \(0.417461\pi\)
−0.965277 + 0.261230i \(0.915872\pi\)
\(524\) 7.68983e8 3.70323e8i 0.233484 0.112440i
\(525\) −6.96680e9 2.14897e9i −2.10124 0.648147i
\(526\) −1.73911e8 2.32069e9i −0.0521048 0.695291i
\(527\) −4.51017e8 1.97603e9i −0.134232 0.588108i
\(528\) 3.08868e8 7.86984e8i 0.0913176 0.232674i
\(529\) 1.51748e8 2.02494e9i 0.0445685 0.594726i
\(530\) −9.77886e8 + 1.47393e8i −0.285314 + 0.0430041i
\(531\) −3.34392e9 3.10270e9i −0.969226 0.899310i
\(532\) 1.97743e9 + 9.52280e8i 0.569390 + 0.274204i
\(533\) −4.82194e8 + 3.28754e8i −0.137936 + 0.0940429i
\(534\) −5.71230e8 1.45547e9i −0.162337 0.413627i
\(535\) 1.01458e10 3.12955e9i 2.86449 0.883577i
\(536\) −2.86724e9 + 2.66041e9i −0.804243 + 0.746228i
\(537\) 3.48925e9 4.37539e9i 0.972350 1.21929i
\(538\) −5.48308e8 + 6.87556e8i −0.151805 + 0.190358i
\(539\) 3.61409e8 3.35339e8i 0.0994120 0.0922408i
\(540\) −1.82983e10 + 5.64426e9i −5.00071 + 1.54251i
\(541\) 1.95987e9 + 4.99367e9i 0.532153 + 1.35590i 0.903969 + 0.427598i \(0.140640\pi\)
−0.371816 + 0.928306i \(0.621265\pi\)
\(542\) −3.14005e8 + 2.14085e8i −0.0847108 + 0.0577549i
\(543\) −1.47554e9 7.10581e8i −0.395504 0.190465i
\(544\) 1.85102e9 + 1.71750e9i 0.492965 + 0.457405i
\(545\) 2.44543e9 3.68590e8i 0.647095 0.0975339i
\(546\) 7.89877e7 1.05402e9i 0.0207675 0.277124i
\(547\) 8.95356e7 2.28133e8i 0.0233905 0.0595981i −0.918701 0.394953i \(-0.870761\pi\)
0.942092 + 0.335355i \(0.108856\pi\)
\(548\) 4.89972e8 + 2.14671e9i 0.127186 + 0.557238i
\(549\) −1.11999e9 1.49452e10i −0.288875 3.85477i
\(550\) −5.38679e8 1.66160e8i −0.138058 0.0425851i
\(551\) 1.71064e9 8.23800e8i 0.435640 0.209793i
\(552\) 3.30953e9 5.73228e9i 0.837491 1.45058i
\(553\) 1.97496e9 + 3.42073e9i 0.496615 + 0.860162i
\(554\) −6.48928e8 4.42431e8i −0.162148 0.110551i
\(555\) −3.73829e9 + 1.63785e10i −0.928213 + 4.06677i
\(556\) −7.99199e8 1.20460e8i −0.197194 0.0297222i
\(557\) −9.04217e8 1.13385e9i −0.221707 0.278012i 0.658521 0.752562i \(-0.271182\pi\)
−0.880228 + 0.474550i \(0.842611\pi\)
\(558\) −3.40307e9 −0.829184
\(559\) −1.75194e9 + 2.13363e9i −0.424208 + 0.516628i
\(560\) −2.58281e9 −0.621491
\(561\) 7.80296e8 + 9.78460e8i 0.186590 + 0.233977i
\(562\) 5.01161e8 + 7.55378e7i 0.119097 + 0.0179509i
\(563\) −3.65152e8 + 1.59983e9i −0.0862370 + 0.377829i −0.999568 0.0293888i \(-0.990644\pi\)
0.913331 + 0.407218i \(0.133501\pi\)
\(564\) 4.16586e9 + 2.84023e9i 0.977749 + 0.666618i
\(565\) 2.32556e9 + 4.02799e9i 0.542448 + 0.939548i
\(566\) 9.78989e8 1.69566e9i 0.226945 0.393080i
\(567\) 9.33308e9 4.49457e9i 2.15023 1.03549i
\(568\) −9.73646e6 3.00330e6i −0.00222937 0.000687670i
\(569\) −4.82819e8 6.44277e9i −0.109873 1.46615i −0.730964 0.682416i \(-0.760929\pi\)
0.621091 0.783739i \(-0.286690\pi\)
\(570\) −1.48504e9 6.50640e9i −0.335875 1.47156i
\(571\) −4.69853e8 + 1.19717e9i −0.105617 + 0.269109i −0.973906 0.226950i \(-0.927125\pi\)
0.868289 + 0.496059i \(0.165220\pi\)
\(572\) −4.00483e7 + 5.34408e8i −0.00894743 + 0.119395i
\(573\) −1.32460e10 + 1.99652e9i −2.94133 + 0.443334i
\(574\) 1.76724e8 + 1.63976e8i 0.0390035 + 0.0361899i
\(575\) 9.98480e9 + 4.80842e9i 2.19029 + 1.05479i
\(576\) −3.09923e9 + 2.11302e9i −0.675732 + 0.460706i
\(577\) −1.03781e9 2.64429e9i −0.224906 0.573051i 0.773227 0.634129i \(-0.218641\pi\)
−0.998133 + 0.0610781i \(0.980546\pi\)
\(578\) 7.22912e8 2.22989e8i 0.155718 0.0480326i
\(579\) −1.91928e9 + 1.78083e9i −0.410925 + 0.381283i
\(580\) −1.69015e9 + 2.11937e9i −0.359688 + 0.451035i
\(581\) −1.12762e9 + 1.41399e9i −0.238532 + 0.299109i
\(582\) −1.51143e9 + 1.40240e9i −0.317803 + 0.294878i
\(583\) −4.37779e8 + 1.35037e8i −0.0914987 + 0.0282236i
\(584\) 1.50551e9 + 3.83597e9i 0.312779 + 0.796949i
\(585\) 1.28398e10 8.75402e9i 2.65163 1.80785i
\(586\) 1.68303e9 + 8.10503e8i 0.345501 + 0.166385i
\(587\) 3.43881e9 + 3.19075e9i 0.701738 + 0.651118i 0.948068 0.318068i \(-0.103034\pi\)
−0.246329 + 0.969186i \(0.579225\pi\)
\(588\) −5.42212e9 + 8.17253e8i −1.09989 + 0.165781i
\(589\) −3.74180e8 + 4.99309e9i −0.0754532 + 1.00685i
\(590\) −5.33890e8 + 1.36033e9i −0.107021 + 0.272685i
\(591\) 2.30266e9 + 1.00886e10i 0.458853 + 2.01037i
\(592\) 2.92654e8 + 3.90520e9i 0.0579734 + 0.773601i
\(593\) 7.98218e8 + 2.46218e8i 0.157192 + 0.0484873i 0.372352 0.928091i \(-0.378551\pi\)
−0.215161 + 0.976579i \(0.569027\pi\)
\(594\) 1.21885e9 5.86969e8i 0.238616 0.114911i
\(595\) 1.91169e9 3.31115e9i 0.372056 0.644420i
\(596\) 1.75316e9 + 3.03656e9i 0.339202 + 0.587516i
\(597\) −5.95172e9 4.05782e9i −1.14481 0.780517i
\(598\) −3.57515e8 + 1.56638e9i −0.0683660 + 0.299531i
\(599\) 4.59639e8 + 6.92794e7i 0.0873821 + 0.0131707i 0.192588 0.981280i \(-0.438312\pi\)
−0.105206 + 0.994450i \(0.533550\pi\)
\(600\) 8.41435e9 + 1.05513e10i 1.59035 + 1.99423i
\(601\) 6.06263e9 1.13920 0.569601 0.821922i \(-0.307098\pi\)
0.569601 + 0.821922i \(0.307098\pi\)
\(602\) 1.02032e9 + 5.09439e8i 0.190612 + 0.0951710i
\(603\) 2.44104e10 4.53381
\(604\) −1.48411e9 1.86102e9i −0.274055 0.343654i
\(605\) 8.81756e9 + 1.32903e9i 1.61884 + 0.244001i
\(606\) −2.42142e8 + 1.06089e9i −0.0441994 + 0.193650i
\(607\) 2.82213e7 + 1.92410e7i 0.00512174 + 0.00349194i 0.565878 0.824489i \(-0.308537\pi\)
−0.560756 + 0.827981i \(0.689490\pi\)
\(608\) −3.11897e9 5.40221e9i −0.562793 0.974786i
\(609\) 1.23841e9 2.14499e9i 0.222179 0.384826i
\(610\) −4.32573e9 + 2.08316e9i −0.771623 + 0.371594i
\(611\) −2.51728e9 7.76479e8i −0.446466 0.137716i
\(612\) −7.66990e8 1.02348e10i −0.135257 1.80488i
\(613\) −2.22408e9 9.74432e9i −0.389976 1.70860i −0.664730 0.747084i \(-0.731453\pi\)
0.274753 0.961515i \(-0.411404\pi\)
\(614\) −1.06802e9 + 2.72127e9i −0.186204 + 0.474441i
\(615\) −3.59221e8 + 4.79348e9i −0.0622729 + 0.830975i
\(616\) 4.71193e8 7.10209e7i 0.0812206 0.0122420i
\(617\) −5.57820e9 5.17581e9i −0.956084 0.887116i 0.0376046 0.999293i \(-0.488027\pi\)
−0.993688 + 0.112177i \(0.964218\pi\)
\(618\) −3.55653e9 1.71273e9i −0.606131 0.291897i
\(619\) −7.74838e9 + 5.28276e9i −1.31309 + 0.895248i −0.998541 0.0539935i \(-0.982805\pi\)
−0.314547 + 0.949242i \(0.601853\pi\)
\(620\) −2.61174e9 6.65461e9i −0.440108 1.12138i
\(621\) −2.54138e10 + 7.83911e9i −4.25842 + 1.31355i
\(622\) 2.25825e9 2.09535e9i 0.376275 0.349132i
\(623\) −1.37970e9 + 1.73009e9i −0.228601 + 0.286656i
\(624\) 3.06307e9 3.84096e9i 0.504673 0.632840i
\(625\) −3.48087e9 + 3.22978e9i −0.570306 + 0.529167i
\(626\) 2.61308e9 8.06027e8i 0.425738 0.131323i
\(627\) −1.12951e9 2.87796e9i −0.183002 0.466281i
\(628\) −1.30924e9 + 8.92624e8i −0.210940 + 0.143817i
\(629\) −5.22304e9 2.51528e9i −0.836848 0.403005i
\(630\) −4.70577e9 4.36632e9i −0.749789 0.695703i
\(631\) 2.64296e8 3.98362e7i 0.0418782 0.00631212i −0.128070 0.991765i \(-0.540878\pi\)
0.169948 + 0.985453i \(0.445640\pi\)
\(632\) 5.46392e8 7.29110e9i 0.0860984 1.14890i
\(633\) 7.19086e8 1.83220e9i 0.112685 0.287118i
\(634\) −7.09738e7 3.10956e8i −0.0110608 0.0484604i
\(635\) 5.22952e8 + 6.97831e9i 0.0810501 + 1.08154i
\(636\) 4.86897e9 + 1.50188e9i 0.750477 + 0.231491i
\(637\) 2.58123e9 1.24305e9i 0.395675 0.190547i
\(638\) 9.57547e7 1.65852e8i 0.0145978 0.0252842i
\(639\) 3.17945e7 + 5.50698e7i 0.00482058 + 0.00834949i
\(640\) 9.47360e9 + 6.45899e9i 1.42852 + 0.973946i
\(641\) 2.67163e9 1.17052e10i 0.400657 1.75539i −0.224094 0.974568i \(-0.571942\pi\)
0.624751 0.780824i \(-0.285201\pi\)
\(642\) 8.24938e9 + 1.24339e9i 1.23041 + 0.185454i
\(643\) −7.63751e9 9.57713e9i −1.13296 1.42068i −0.893091 0.449876i \(-0.851468\pi\)
−0.239865 0.970806i \(-0.577103\pi\)
\(644\) −4.35208e9 −0.642090
\(645\) 4.74284e9 + 2.22391e10i 0.695952 + 3.26332i
\(646\) 2.30292e9 0.336098
\(647\) −2.00902e9 2.51924e9i −0.291622 0.365682i 0.614340 0.789041i \(-0.289422\pi\)
−0.905962 + 0.423359i \(0.860851\pi\)
\(648\) −1.89609e10 2.85789e9i −2.73745 0.412604i
\(649\) −1.50643e8 + 6.60010e8i −0.0216318 + 0.0947751i
\(650\) −2.70660e9 1.84533e9i −0.386569 0.263558i
\(651\) 3.26589e9 + 5.65669e9i 0.463947 + 0.803579i
\(652\) 1.27329e9 2.20540e9i 0.179912 0.311617i
\(653\) −4.02910e9 + 1.94031e9i −0.566255 + 0.272694i −0.695031 0.718980i \(-0.744609\pi\)
0.128776 + 0.991674i \(0.458895\pi\)
\(654\) 1.85684e9 + 5.72761e8i 0.259569 + 0.0800665i
\(655\) 2.74488e8 + 3.66278e9i 0.0381661 + 0.509292i
\(656\) 2.49341e8 + 1.09244e9i 0.0344850 + 0.151089i
\(657\) 9.39567e9 2.39398e10i 1.29256 3.29338i
\(658\) −8.13220e7 + 1.08517e9i −0.0111280 + 0.148493i
\(659\) −1.43738e9 + 2.16651e8i −0.195647 + 0.0294891i −0.246135 0.969236i \(-0.579161\pi\)
0.0504875 + 0.998725i \(0.483922\pi\)
\(660\) 3.23575e9 + 3.00233e9i 0.438097 + 0.406495i
\(661\) −2.75427e9 1.32639e9i −0.370938 0.178635i 0.239122 0.970990i \(-0.423140\pi\)
−0.610060 + 0.792355i \(0.708855\pi\)
\(662\) 2.52714e9 1.72298e9i 0.338553 0.230822i
\(663\) 2.65693e9 + 6.76975e9i 0.354065 + 0.902143i
\(664\) 3.19903e9 9.86770e8i 0.424063 0.130806i
\(665\) −6.92383e9 + 6.42437e9i −0.912999 + 0.847139i
\(666\) −6.06864e9 + 7.60984e9i −0.796035 + 0.998196i
\(667\) −2.34738e9 + 2.94352e9i −0.306297 + 0.384084i
\(668\) −8.53931e8 + 7.92332e8i −0.110842 + 0.102847i
\(669\) 8.88091e9 2.73940e9i 1.14674 0.353723i
\(670\) −2.85696e9 7.27942e9i −0.366980 0.935051i
\(671\) −1.83772e9 + 1.25294e9i −0.234829 + 0.160104i
\(672\) −7.33157e9 3.53070e9i −0.931975 0.448816i
\(673\) 1.60539e9 + 1.48959e9i 0.203015 + 0.188370i 0.775128 0.631805i \(-0.217685\pi\)
−0.572113 + 0.820175i \(0.693876\pi\)
\(674\) 5.05520e9 7.61949e8i 0.635959 0.0958554i
\(675\) 4.05224e9 5.40734e10i 0.507145 6.76738i
\(676\) 1.40834e9 3.58840e9i 0.175346 0.446773i
\(677\) −4.97519e8 2.17977e9i −0.0616239 0.269992i 0.934724 0.355373i \(-0.115646\pi\)
−0.996348 + 0.0853813i \(0.972789\pi\)
\(678\) 2.73106e8 + 3.64435e9i 0.0336533 + 0.449072i
\(679\) 2.78844e9 + 8.60119e8i 0.341835 + 0.105442i
\(680\) −6.37645e9 + 3.07074e9i −0.777675 + 0.374508i
\(681\) 7.82072e9 1.35459e10i 0.948924 1.64359i
\(682\) 2.52521e8 + 4.37379e8i 0.0304826 + 0.0527975i
\(683\) 7.64070e9 + 5.20934e9i 0.917616 + 0.625620i 0.927294 0.374333i \(-0.122128\pi\)
−0.00967851 + 0.999953i \(0.503081\pi\)
\(684\) −5.64194e9 + 2.47190e10i −0.674112 + 2.95348i
\(685\) −9.37006e9 1.41231e9i −1.11385 0.167885i
\(686\) −1.86106e9 2.33369e9i −0.220103 0.276000i
\(687\) −1.60046e10 −1.88320
\(688\) 2.58452e9 + 4.62792e9i 0.302566 + 0.541784i
\(689\) −2.66222e9 −0.310082
\(690\) 8.25094e9 + 1.03463e10i 0.956162 + 1.19899i
\(691\) 3.25825e9 + 4.91102e8i 0.375674 + 0.0566237i 0.334165 0.942514i \(-0.391546\pi\)
0.0415083 + 0.999138i \(0.486784\pi\)
\(692\) 2.99335e7 1.31147e8i 0.00343389 0.0150448i
\(693\) −2.45712e9 1.67524e9i −0.280453 0.191210i
\(694\) −1.61059e9 2.78962e9i −0.182905 0.316801i
\(695\) 1.73909e9 3.01220e9i 0.196506 0.340359i
\(696\) −4.13072e9 + 1.98925e9i −0.464401 + 0.223644i
\(697\) −1.58505e9 4.88922e8i −0.177308 0.0546922i
\(698\) −3.00904e8 4.01529e9i −0.0334915 0.446913i
\(699\) 6.72468e9 + 2.94628e10i 0.744735 + 3.26290i
\(700\) 3.24183e9 8.26004e9i 0.357229 0.910205i
\(701\) 1.42937e8 1.90736e9i 0.0156722 0.209131i −0.983870 0.178884i \(-0.942751\pi\)
0.999542 0.0302475i \(-0.00962956\pi\)
\(702\) 7.77348e9 1.17166e9i 0.848078 0.127827i
\(703\) 1.04981e10 + 9.74084e9i 1.13964 + 1.05743i
\(704\) 5.01550e8 + 2.41534e8i 0.0541764 + 0.0260900i
\(705\) −1.79277e10 + 1.22229e10i −1.92692 + 1.31375i
\(706\) −1.36408e9 3.47562e9i −0.145889 0.371720i
\(707\) 1.47166e9 4.53946e8i 0.156617 0.0483099i
\(708\) 5.51944e9 5.12129e9i 0.584492 0.542329i
\(709\) 3.38727e9 4.24751e9i 0.356935 0.447582i −0.570651 0.821193i \(-0.693309\pi\)
0.927586 + 0.373611i \(0.121880\pi\)
\(710\) 1.27012e7 1.59268e7i 0.00133180 0.00167003i
\(711\) −3.34494e10 + 3.10365e10i −3.49016 + 3.23840i
\(712\) 3.91419e9 1.20737e9i 0.406407 0.125360i
\(713\) −3.62735e9 9.24234e9i −0.374780 0.954924i
\(714\) 2.48217e9 1.69231e9i 0.255204 0.173995i
\(715\) −2.07787e9 1.00065e9i −0.212593 0.102379i
\(716\) 4.99297e9 + 4.63280e9i 0.508351 + 0.471681i
\(717\) 1.36315e10 2.05461e9i 1.38110 0.208167i
\(718\) −1.30813e8 + 1.74558e9i −0.0131891 + 0.175996i
\(719\) −5.66809e9 + 1.44421e10i −0.568704 + 1.44903i 0.300115 + 0.953903i \(0.402975\pi\)
−0.868819 + 0.495130i \(0.835120\pi\)
\(720\) −6.63942e9 2.90892e10i −0.662929 2.90448i
\(721\) 4.17499e8 + 5.57113e9i 0.0414841 + 0.553567i
\(722\) −1.92108e9 5.92573e8i −0.189961 0.0585952i
\(723\) 1.34569e10 6.48049e9i 1.32422 0.637711i
\(724\) 9.96625e8 1.72620e9i 0.0975993 0.169047i
\(725\) −3.83812e9 6.64782e9i −0.374055 0.647882i
\(726\) 5.78909e9 + 3.94693e9i 0.561477 + 0.382809i
\(727\) 2.52685e9 1.10708e10i 0.243898 1.06859i −0.693535 0.720423i \(-0.743948\pi\)
0.937433 0.348165i \(-0.113195\pi\)
\(728\) 2.73811e9 + 4.12703e8i 0.263021 + 0.0396441i
\(729\) 2.97262e10 + 3.72754e10i 2.84179 + 3.56350i
\(730\) −8.23875e9 −0.783847
\(731\) −7.84591e9 1.12063e8i −0.742904 0.0106109i
\(732\) 2.47376e10 2.33114
\(733\) 1.20361e10 + 1.50928e10i 1.12881 + 1.41549i 0.896610 + 0.442820i \(0.146022\pi\)
0.232203 + 0.972667i \(0.425407\pi\)
\(734\) −4.88631e8 7.36493e7i −0.0456084 0.00687436i
\(735\) 5.25095e9 2.30059e10i 0.487789 2.13715i
\(736\) 1.02200e10 + 6.96790e9i 0.944887 + 0.644213i
\(737\) −1.81135e9 3.13734e9i −0.166673 0.288686i
\(738\) −1.39251e9 + 2.41189e9i −0.127526 + 0.220882i
\(739\) −1.19170e10 + 5.73892e9i −1.08620 + 0.523088i −0.889295 0.457334i \(-0.848805\pi\)
−0.196909 + 0.980422i \(0.563090\pi\)
\(740\) −1.95383e10 6.02678e9i −1.77246 0.546732i
\(741\) −1.34258e9 1.79155e10i −0.121221 1.61758i
\(742\) 2.44714e8 + 1.07216e9i 0.0219910 + 0.0963488i
\(743\) 7.40174e9 1.88593e10i 0.662023 1.68681i −0.0629396 0.998017i \(-0.520048\pi\)
0.724962 0.688789i \(-0.241857\pi\)
\(744\) 9.03543e8 1.20569e10i 0.0804347 1.07333i
\(745\) −1.49208e10 + 2.24895e9i −1.32205 + 0.199266i
\(746\) −2.94871e9 2.73600e9i −0.260044 0.241285i
\(747\) −1.88239e10 9.06511e9i −1.65229 0.795703i
\(748\) −1.25851e9 + 8.58038e8i −0.109952 + 0.0749637i
\(749\) −4.31361e9 1.09909e10i −0.375106 0.955755i
\(750\) −1.23828e10 + 3.81958e9i −1.07177 + 0.330598i
\(751\) −7.20793e9 + 6.68799e9i −0.620971 + 0.576177i −0.926635 0.375963i \(-0.877312\pi\)
0.305664 <