Properties

Label 43.8.g.a.9.7
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.7
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.81088 - 8.54058i) q^{2} +(54.1377 + 8.15994i) q^{3} +(1.92934 - 8.45297i) q^{4} +(-122.186 - 83.3051i) q^{5} +(-299.035 - 517.944i) q^{6} +(-199.852 + 346.154i) q^{7} +(-1345.11 + 647.772i) q^{8} +(774.466 + 238.891i) q^{9} +O(q^{10})\) \(q+(-6.81088 - 8.54058i) q^{2} +(54.1377 + 8.15994i) q^{3} +(1.92934 - 8.45297i) q^{4} +(-122.186 - 83.3051i) q^{5} +(-299.035 - 517.944i) q^{6} +(-199.852 + 346.154i) q^{7} +(-1345.11 + 647.772i) q^{8} +(774.466 + 238.891i) q^{9} +(120.722 + 1610.92i) q^{10} +(-973.957 - 4267.18i) q^{11} +(173.426 - 441.881i) q^{12} +(749.764 - 10004.9i) q^{13} +(4317.52 - 650.762i) q^{14} +(-5935.11 - 5506.98i) q^{15} +(13693.8 + 6594.61i) q^{16} +(-20882.3 + 14237.3i) q^{17} +(-3234.53 - 8241.45i) q^{18} +(-9963.36 + 3073.29i) q^{19} +(-939.914 + 872.113i) q^{20} +(-13644.1 + 17109.2i) q^{21} +(-29810.7 + 37381.4i) q^{22} +(-30985.0 + 28749.9i) q^{23} +(-78107.0 + 24092.8i) q^{24} +(-20552.5 - 52367.0i) q^{25} +(-90554.2 + 61738.8i) q^{26} +(-67900.4 - 32699.1i) q^{27} +(2540.45 + 2357.19i) q^{28} +(25786.0 - 3886.61i) q^{29} +(-6609.43 + 88196.7i) q^{30} +(-18580.2 + 47341.7i) q^{31} +(5578.11 + 24439.3i) q^{32} +(-17907.8 - 238963. i) q^{33} +(263822. + 81378.4i) q^{34} +(53255.5 - 25646.5i) q^{35} +(3513.55 - 6085.64i) q^{36} +(-32927.8 - 57032.7i) q^{37} +(94107.0 + 64161.1i) q^{38} +(122230. - 535524. i) q^{39} +(218317. + 32906.0i) q^{40} +(97080.7 + 121735. i) q^{41} +239051. q^{42} +(57096.8 - 518226. i) q^{43} -37949.5 q^{44} +(-74728.2 - 93706.2i) q^{45} +(456576. + 68817.8i) q^{46} +(136996. - 600217. i) q^{47} +(687541. + 468758. i) q^{48} +(331890. + 574850. i) q^{49} +(-307264. + 532197. i) q^{50} +(-1.24670e6 + 600377. i) q^{51} +(-83124.7 - 25640.6i) q^{52} +(-43392.8 - 579037. i) q^{53} +(183192. + 802618. i) q^{54} +(-236474. + 602526. i) q^{55} +(44594.6 - 595074. i) q^{56} +(-564471. + 85080.4i) q^{57} +(-208819. - 193756. i) q^{58} +(1.97561e6 + 951404. i) q^{59} +(-58001.2 + 39544.5i) q^{60} +(-704448. - 1.79491e6i) q^{61} +(530873. - 163753. i) q^{62} +(-237472. + 220342. i) q^{63} +(1.38372e6 - 1.73513e6i) q^{64} +(-925071. + 1.16000e6i) q^{65} +(-1.91891e6 + 1.78049e6i) q^{66} +(4.47530e6 - 1.38045e6i) q^{67} +(80058.7 + 203986. i) q^{68} +(-1.91205e6 + 1.30362e6i) q^{69} +(-581753. - 280158. i) q^{70} +(-893206. - 828774. i) q^{71} +(-1.19649e6 + 180342. i) q^{72} +(37530.8 - 500813. i) q^{73} +(-262824. + 669666. i) q^{74} +(-685355. - 3.00274e6i) q^{75} +(6755.77 + 90149.5i) q^{76} +(1.67175e6 + 515666. i) q^{77} +(-5.40618e6 + 2.60348e6i) q^{78} +(31974.1 - 55380.7i) q^{79} +(-1.12383e6 - 1.94654e6i) q^{80} +(-4.87366e6 - 3.32280e6i) q^{81} +(378485. - 1.65825e6i) q^{82} +(-471504. - 71067.7i) q^{83} +(118299. + 148343. i) q^{84} +3.73757e6 q^{85} +(-4.81483e6 + 3.04194e6i) q^{86} +1.42771e6 q^{87} +(4.07424e6 + 5.10894e6i) q^{88} +(-1.04685e7 - 1.57787e6i) q^{89} +(-291340. + 1.27644e6i) q^{90} +(3.31339e6 + 2.25903e6i) q^{91} +(183242. + 317384. i) q^{92} +(-1.39220e6 + 2.41135e6i) q^{93} +(-6.05926e6 + 2.91799e6i) q^{94} +(1.47341e6 + 454486. i) q^{95} +(102563. + 1.36860e6i) q^{96} +(-809596. - 3.54707e6i) q^{97} +(2.64909e6 - 6.74977e6i) q^{98} +(265096. - 3.53746e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.81088 8.54058i −0.602003 0.754888i 0.383686 0.923464i \(-0.374655\pi\)
−0.985689 + 0.168576i \(0.946083\pi\)
\(3\) 54.1377 + 8.15994i 1.15764 + 0.174487i 0.699662 0.714474i \(-0.253334\pi\)
0.457983 + 0.888961i \(0.348572\pi\)
\(4\) 1.92934 8.45297i 0.0150729 0.0660389i
\(5\) −122.186 83.3051i −0.437147 0.298041i 0.324678 0.945825i \(-0.394744\pi\)
−0.761825 + 0.647783i \(0.775696\pi\)
\(6\) −299.035 517.944i −0.565187 0.978933i
\(7\) −199.852 + 346.154i −0.220224 + 0.381440i −0.954876 0.297005i \(-0.904012\pi\)
0.734652 + 0.678444i \(0.237346\pi\)
\(8\) −1345.11 + 647.772i −0.928845 + 0.447308i
\(9\) 774.466 + 238.891i 0.354123 + 0.109232i
\(10\) 120.722 + 1610.92i 0.0381756 + 0.509418i
\(11\) −973.957 4267.18i −0.220630 0.966645i −0.957005 0.290071i \(-0.906321\pi\)
0.736375 0.676574i \(-0.236536\pi\)
\(12\) 173.426 441.881i 0.0289720 0.0738195i
\(13\) 749.764 10004.9i 0.0946505 1.26302i −0.724432 0.689347i \(-0.757898\pi\)
0.819082 0.573676i \(-0.194483\pi\)
\(14\) 4317.52 650.762i 0.420520 0.0633832i
\(15\) −5935.11 5506.98i −0.454056 0.421302i
\(16\) 13693.8 + 6594.61i 0.835806 + 0.402503i
\(17\) −20882.3 + 14237.3i −1.03088 + 0.702841i −0.955704 0.294329i \(-0.904904\pi\)
−0.0751748 + 0.997170i \(0.523951\pi\)
\(18\) −3234.53 8241.45i −0.130725 0.333081i
\(19\) −9963.36 + 3073.29i −0.333249 + 0.102794i −0.456864 0.889537i \(-0.651027\pi\)
0.123615 + 0.992330i \(0.460551\pi\)
\(20\) −939.914 + 872.113i −0.0262714 + 0.0243763i
\(21\) −13644.1 + 17109.2i −0.321498 + 0.403145i
\(22\) −29810.7 + 37381.4i −0.596888 + 0.748474i
\(23\) −30985.0 + 28749.9i −0.531012 + 0.492707i −0.899497 0.436927i \(-0.856067\pi\)
0.368485 + 0.929634i \(0.379876\pi\)
\(24\) −78107.0 + 24092.8i −1.15332 + 0.355753i
\(25\) −20552.5 52367.0i −0.263073 0.670298i
\(26\) −90554.2 + 61738.8i −1.01042 + 0.688893i
\(27\) −67900.4 32699.1i −0.663894 0.319715i
\(28\) 2540.45 + 2357.19i 0.0218704 + 0.0202928i
\(29\) 25786.0 3886.61i 0.196332 0.0295923i −0.0501400 0.998742i \(-0.515967\pi\)
0.246472 + 0.969150i \(0.420729\pi\)
\(30\) −6609.43 + 88196.7i −0.0446930 + 0.596387i
\(31\) −18580.2 + 47341.7i −0.112017 + 0.285416i −0.975878 0.218314i \(-0.929944\pi\)
0.863861 + 0.503730i \(0.168039\pi\)
\(32\) 5578.11 + 24439.3i 0.0300928 + 0.131845i
\(33\) −17907.8 238963.i −0.0867447 1.15753i
\(34\) 263822. + 81378.4i 1.15116 + 0.355085i
\(35\) 53255.5 25646.5i 0.209955 0.101109i
\(36\) 3513.55 6085.64i 0.0125513 0.0217394i
\(37\) −32927.8 57032.7i −0.106870 0.185105i 0.807631 0.589689i \(-0.200750\pi\)
−0.914501 + 0.404584i \(0.867416\pi\)
\(38\) 94107.0 + 64161.1i 0.278214 + 0.189683i
\(39\) 122230. 535524.i 0.329953 1.44562i
\(40\) 218317. + 32906.0i 0.539358 + 0.0812951i
\(41\) 97080.7 + 121735.i 0.219983 + 0.275850i 0.879561 0.475786i \(-0.157836\pi\)
−0.659578 + 0.751636i \(0.729265\pi\)
\(42\) 239051. 0.497872
\(43\) 57096.8 518226.i 0.109515 0.993985i
\(44\) −37949.5 −0.0671617
\(45\) −74728.2 93706.2i −0.122248 0.153294i
\(46\) 456576. + 68817.8i 0.691609 + 0.104243i
\(47\) 136996. 600217.i 0.192470 0.843268i −0.782803 0.622269i \(-0.786211\pi\)
0.975274 0.220999i \(-0.0709319\pi\)
\(48\) 687541. + 468758.i 0.897335 + 0.611792i
\(49\) 331890. + 574850.i 0.403003 + 0.698021i
\(50\) −307264. + 532197.i −0.347629 + 0.602112i
\(51\) −1.24670e6 + 600377.i −1.31603 + 0.633766i
\(52\) −83124.7 25640.6i −0.0819819 0.0252881i
\(53\) −43392.8 579037.i −0.0400361 0.534245i −0.980779 0.195123i \(-0.937489\pi\)
0.940743 0.339122i \(-0.110130\pi\)
\(54\) 183192. + 802618.i 0.158318 + 0.693635i
\(55\) −236474. + 602526.i −0.191652 + 0.488322i
\(56\) 44594.6 595074.i 0.0339332 0.452807i
\(57\) −564471. + 85080.4i −0.403720 + 0.0608510i
\(58\) −208819. 193756.i −0.140531 0.130394i
\(59\) 1.97561e6 + 951404.i 1.25233 + 0.603091i 0.938136 0.346267i \(-0.112551\pi\)
0.314195 + 0.949358i \(0.398265\pi\)
\(60\) −58001.2 + 39544.5i −0.0346663 + 0.0236351i
\(61\) −704448. 1.79491e6i −0.397370 1.01248i −0.979867 0.199649i \(-0.936020\pi\)
0.582498 0.812832i \(-0.302075\pi\)
\(62\) 530873. 163753.i 0.282891 0.0872605i
\(63\) −237472. + 220342.i −0.119652 + 0.111021i
\(64\) 1.38372e6 1.73513e6i 0.659808 0.827373i
\(65\) −925071. + 1.16000e6i −0.417809 + 0.523916i
\(66\) −1.91891e6 + 1.78049e6i −0.821583 + 0.762318i
\(67\) 4.47530e6 1.38045e6i 1.81786 0.560735i 0.817963 0.575270i \(-0.195103\pi\)
0.999894 + 0.0145357i \(0.00462701\pi\)
\(68\) 80058.7 + 203986.i 0.0308765 + 0.0786720i
\(69\) −1.91205e6 + 1.30362e6i −0.700694 + 0.477725i
\(70\) −581753. 280158.i −0.202720 0.0976246i
\(71\) −893206. 828774.i −0.296174 0.274809i 0.518062 0.855343i \(-0.326654\pi\)
−0.814236 + 0.580533i \(0.802844\pi\)
\(72\) −1.19649e6 + 180342.i −0.377786 + 0.0569420i
\(73\) 37530.8 500813.i 0.0112917 0.150677i −0.988708 0.149855i \(-0.952119\pi\)
1.00000 0.000821802i \(-0.000261588\pi\)
\(74\) −262824. + 669666.i −0.0753971 + 0.192109i
\(75\) −685355. 3.00274e6i −0.187586 0.821870i
\(76\) 6755.77 + 90149.5i 0.00176534 + 0.0235568i
\(77\) 1.67175e6 + 515666.i 0.417305 + 0.128721i
\(78\) −5.40618e6 + 2.60348e6i −1.28991 + 0.621188i
\(79\) 31974.1 55380.7i 0.00729631 0.0126376i −0.862354 0.506305i \(-0.831011\pi\)
0.869651 + 0.493668i \(0.164344\pi\)
\(80\) −1.12383e6 1.94654e6i −0.245407 0.425058i
\(81\) −4.87366e6 3.32280e6i −1.01896 0.694716i
\(82\) 378485. 1.65825e6i 0.0758054 0.332125i
\(83\) −471504. 71067.7i −0.0905131 0.0136427i 0.103630 0.994616i \(-0.466954\pi\)
−0.194143 + 0.980973i \(0.562192\pi\)
\(84\) 118299. + 148343.i 0.0217773 + 0.0273079i
\(85\) 3.73757e6 0.660121
\(86\) −4.81483e6 + 3.04194e6i −0.816275 + 0.515711i
\(87\) 1.42771e6 0.232446
\(88\) 4.07424e6 + 5.10894e6i 0.637320 + 0.799174i
\(89\) −1.04685e7 1.57787e6i −1.57405 0.237249i −0.696791 0.717274i \(-0.745390\pi\)
−0.877255 + 0.480024i \(0.840628\pi\)
\(90\) −291340. + 1.27644e6i −0.0421261 + 0.184567i
\(91\) 3.31339e6 + 2.25903e6i 0.460923 + 0.314252i
\(92\) 183242. + 317384.i 0.0245339 + 0.0424940i
\(93\) −1.39220e6 + 2.41135e6i −0.179478 + 0.310864i
\(94\) −6.05926e6 + 2.91799e6i −0.752441 + 0.362356i
\(95\) 1.47341e6 + 454486.i 0.176315 + 0.0543861i
\(96\) 102563. + 1.36860e6i 0.0118315 + 0.157881i
\(97\) −809596. 3.54707e6i −0.0900673 0.394611i 0.909720 0.415222i \(-0.136296\pi\)
−0.999788 + 0.0206110i \(0.993439\pi\)
\(98\) 2.64909e6 6.74977e6i 0.284319 0.724432i
\(99\) 265096. 3.53746e6i 0.0274587 0.366411i
\(100\) −482310. + 72696.5i −0.0482310 + 0.00726965i
\(101\) 4.90114e6 + 4.54759e6i 0.473339 + 0.439194i 0.880418 0.474199i \(-0.157262\pi\)
−0.407079 + 0.913393i \(0.633453\pi\)
\(102\) 1.36187e7 + 6.55841e6i 1.27067 + 0.611925i
\(103\) 1.19275e7 8.13204e6i 1.07552 0.733279i 0.110088 0.993922i \(-0.464887\pi\)
0.965435 + 0.260643i \(0.0839345\pi\)
\(104\) 5.47238e6 + 1.39434e7i 0.477045 + 1.21549i
\(105\) 3.09240e6 953881.i 0.260696 0.0804140i
\(106\) −4.64976e6 + 4.31435e6i −0.379193 + 0.351840i
\(107\) 2.11414e6 2.65104e6i 0.166836 0.209206i −0.691384 0.722487i \(-0.742999\pi\)
0.858220 + 0.513281i \(0.171570\pi\)
\(108\) −407407. + 510872.i −0.0311204 + 0.0390238i
\(109\) 1.03074e7 9.56385e6i 0.762352 0.707359i −0.199811 0.979835i \(-0.564033\pi\)
0.962163 + 0.272475i \(0.0878422\pi\)
\(110\) 6.75652e6 2.08411e6i 0.484004 0.149295i
\(111\) −1.31725e6 3.35631e6i −0.0914195 0.232933i
\(112\) −5.01949e6 + 3.42223e6i −0.337595 + 0.230169i
\(113\) −1.63226e7 7.86054e6i −1.06418 0.512481i −0.181952 0.983307i \(-0.558242\pi\)
−0.882226 + 0.470826i \(0.843956\pi\)
\(114\) 4.57119e6 + 4.24144e6i 0.288976 + 0.268131i
\(115\) 6.18095e6 931629.i 0.378977 0.0571216i
\(116\) 16896.4 225467.i 0.00100506 0.0134116i
\(117\) 2.97075e6 7.56935e6i 0.171481 0.436926i
\(118\) −5.33011e6 2.33528e7i −0.298641 1.30843i
\(119\) −754931. 1.00739e7i −0.0410670 0.548001i
\(120\) 1.15507e7 + 3.56290e6i 0.610200 + 0.188222i
\(121\) 297075. 143064.i 0.0152446 0.00734142i
\(122\) −1.05316e7 + 1.82413e7i −0.525092 + 0.909486i
\(123\) 4.26237e6 + 7.38265e6i 0.206530 + 0.357721i
\(124\) 364330. + 248396.i 0.0171601 + 0.0116996i
\(125\) −4.42206e6 + 1.93743e7i −0.202507 + 0.887240i
\(126\) 3.49924e6 + 527425.i 0.155839 + 0.0234890i
\(127\) 1.33317e7 + 1.67174e7i 0.577528 + 0.724197i 0.981689 0.190491i \(-0.0610079\pi\)
−0.404161 + 0.914688i \(0.632437\pi\)
\(128\) −2.10346e7 −0.886544
\(129\) 7.31979e6 2.75897e7i 0.300216 1.13157i
\(130\) 1.62076e7 0.647021
\(131\) 9.78297e6 + 1.22675e7i 0.380208 + 0.476766i 0.934707 0.355418i \(-0.115662\pi\)
−0.554499 + 0.832184i \(0.687090\pi\)
\(132\) −2.05450e6 309666.i −0.0777493 0.0117188i
\(133\) 927367. 4.06306e6i 0.0341799 0.149752i
\(134\) −4.22705e7 2.88196e7i −1.51765 1.03471i
\(135\) 5.57248e6 + 9.65182e6i 0.194931 + 0.337630i
\(136\) 1.88665e7 3.26778e7i 0.643140 1.11395i
\(137\) −6.14192e6 + 2.95779e6i −0.204071 + 0.0982755i −0.533128 0.846035i \(-0.678984\pi\)
0.329057 + 0.944310i \(0.393269\pi\)
\(138\) 2.41564e7 + 7.45127e6i 0.782448 + 0.241353i
\(139\) −1.65235e6 2.20490e7i −0.0521854 0.696366i −0.960536 0.278156i \(-0.910277\pi\)
0.908350 0.418210i \(-0.137342\pi\)
\(140\) −114041. 499648.i −0.00351249 0.0153892i
\(141\) 1.23144e7 3.13765e7i 0.369952 0.942621i
\(142\) −994687. + 1.32732e7i −0.0291526 + 0.389014i
\(143\) −4.34230e7 + 6.54496e6i −1.24178 + 0.187168i
\(144\) 9.03003e6 + 8.37864e6i 0.252011 + 0.233832i
\(145\) −3.47447e6 1.67322e6i −0.0946456 0.0455789i
\(146\) −4.53285e6 + 3.09045e6i −0.120542 + 0.0821838i
\(147\) 1.32770e7 + 3.38293e7i 0.344738 + 0.878379i
\(148\) −545625. + 168303.i −0.0138350 + 0.00426752i
\(149\) −5.00766e7 + 4.64643e7i −1.24018 + 1.15071i −0.257322 + 0.966326i \(0.582840\pi\)
−0.982853 + 0.184389i \(0.940969\pi\)
\(150\) −2.09772e7 + 2.63046e7i −0.507492 + 0.636375i
\(151\) −4.54260e7 + 5.69624e7i −1.07371 + 1.34638i −0.139268 + 0.990255i \(0.544475\pi\)
−0.934437 + 0.356129i \(0.884096\pi\)
\(152\) 1.14110e7 1.05879e7i 0.263556 0.244544i
\(153\) −1.95738e7 + 6.03773e6i −0.441831 + 0.136287i
\(154\) −6.98200e6 1.77898e7i −0.154048 0.392509i
\(155\) 6.21405e6 4.23667e6i 0.134034 0.0913826i
\(156\) −4.29095e6 2.06641e6i −0.0904935 0.0435794i
\(157\) 2.11881e7 + 1.96597e7i 0.436962 + 0.405441i 0.867741 0.497016i \(-0.165571\pi\)
−0.430780 + 0.902457i \(0.641761\pi\)
\(158\) −690755. + 104115.i −0.0139323 + 0.00209996i
\(159\) 2.37572e6 3.17018e7i 0.0468711 0.625452i
\(160\) 1.35435e6 3.45083e6i 0.0261404 0.0666045i
\(161\) −3.75947e6 1.64713e7i −0.0709963 0.311055i
\(162\) 4.81525e6 + 6.42551e7i 0.0889850 + 1.18742i
\(163\) −3.18143e7 9.81340e6i −0.575394 0.177486i −0.00661815 0.999978i \(-0.502107\pi\)
−0.568776 + 0.822493i \(0.692583\pi\)
\(164\) 1.21633e6 585752.i 0.0215326 0.0103696i
\(165\) −1.77187e7 + 3.06898e7i −0.307071 + 0.531863i
\(166\) 2.60440e6 + 4.51095e6i 0.0441905 + 0.0765402i
\(167\) −5.51271e7 3.75850e7i −0.915919 0.624463i 0.0109124 0.999940i \(-0.496526\pi\)
−0.926832 + 0.375477i \(0.877479\pi\)
\(168\) 7.27002e6 3.18520e7i 0.118291 0.518268i
\(169\) −3.74883e7 5.65046e6i −0.597438 0.0900492i
\(170\) −2.54562e7 3.19210e7i −0.397395 0.498317i
\(171\) −8.45047e6 −0.129239
\(172\) −4.27040e6 1.48247e6i −0.0639909 0.0222145i
\(173\) −6.40244e7 −0.940122 −0.470061 0.882634i \(-0.655768\pi\)
−0.470061 + 0.882634i \(0.655768\pi\)
\(174\) −9.72396e6 1.21935e7i −0.139933 0.175471i
\(175\) 2.22345e7 + 3.35131e6i 0.313613 + 0.0472696i
\(176\) 1.48032e7 6.48570e7i 0.204673 0.896732i
\(177\) 9.91916e7 + 6.76277e7i 1.34452 + 0.916680i
\(178\) 5.78236e7 + 1.00153e8i 0.768484 + 1.33105i
\(179\) 5.09367e7 8.82249e7i 0.663812 1.14976i −0.315794 0.948828i \(-0.602271\pi\)
0.979606 0.200928i \(-0.0643957\pi\)
\(180\) −936272. + 450885.i −0.0119660 + 0.00576251i
\(181\) 6.38445e7 + 1.96934e7i 0.800293 + 0.246858i 0.667814 0.744328i \(-0.267230\pi\)
0.132479 + 0.991186i \(0.457706\pi\)
\(182\) −3.27369e6 4.36843e7i −0.0402520 0.537125i
\(183\) −2.34909e7 1.02920e8i −0.283348 1.24143i
\(184\) 2.30549e7 5.87430e7i 0.272836 0.695174i
\(185\) −727788. + 9.71166e6i −0.00845092 + 0.112770i
\(186\) 3.00765e7 4.53330e6i 0.342714 0.0516558i
\(187\) 8.10918e7 + 7.52422e7i 0.906841 + 0.841426i
\(188\) −4.80931e6 2.31604e6i −0.0527874 0.0254211i
\(189\) 2.48889e7 1.69690e7i 0.268157 0.182827i
\(190\) −6.15363e6 1.56792e7i −0.0650869 0.165839i
\(191\) 4.42104e7 1.36371e7i 0.459100 0.141614i −0.0565741 0.998398i \(-0.518018\pi\)
0.515674 + 0.856785i \(0.327542\pi\)
\(192\) 8.90698e7 8.26447e7i 0.908189 0.842676i
\(193\) −1.54459e7 + 1.93686e7i −0.154655 + 0.193931i −0.853123 0.521711i \(-0.825294\pi\)
0.698468 + 0.715642i \(0.253866\pi\)
\(194\) −2.47800e7 + 3.10731e7i −0.243666 + 0.305548i
\(195\) −5.95467e7 + 5.52513e7i −0.575091 + 0.533607i
\(196\) 5.49952e6 1.69638e6i 0.0521709 0.0160926i
\(197\) 2.98213e7 + 7.59834e7i 0.277904 + 0.708087i 0.999869 + 0.0161584i \(0.00514360\pi\)
−0.721966 + 0.691929i \(0.756761\pi\)
\(198\) −3.20175e7 + 2.18292e7i −0.293129 + 0.199852i
\(199\) 9.47132e6 + 4.56115e6i 0.0851971 + 0.0410288i 0.475997 0.879447i \(-0.342087\pi\)
−0.390800 + 0.920476i \(0.627802\pi\)
\(200\) 6.15674e7 + 5.71262e7i 0.544184 + 0.504929i
\(201\) 2.53546e8 3.82160e7i 2.20227 0.331939i
\(202\) 5.45798e6 7.28317e7i 0.0465910 0.621714i
\(203\) −3.80802e6 + 9.70267e6i −0.0319494 + 0.0814057i
\(204\) 2.66968e6 + 1.16966e7i 0.0220168 + 0.0964617i
\(205\) −1.72074e6 2.29617e7i −0.0139501 0.186151i
\(206\) −1.50689e8 4.64815e7i −1.20101 0.370463i
\(207\) −3.08649e7 + 1.48638e7i −0.241863 + 0.116475i
\(208\) 7.62456e7 1.32061e8i 0.587480 1.01754i
\(209\) 2.28182e7 + 3.95223e7i 0.172890 + 0.299454i
\(210\) −2.92087e7 1.99142e7i −0.217643 0.148387i
\(211\) −2.20137e7 + 9.64483e7i −0.161326 + 0.706816i 0.827955 + 0.560794i \(0.189504\pi\)
−0.989281 + 0.146022i \(0.953353\pi\)
\(212\) −4.97830e6 750358.i −0.0358844 0.00540870i
\(213\) −4.15933e7 5.21564e7i −0.294914 0.369810i
\(214\) −3.70406e7 −0.258363
\(215\) −5.01474e7 + 5.85636e7i −0.344123 + 0.401877i
\(216\) 1.12515e8 0.759666
\(217\) −1.26742e7 1.58929e7i −0.0841999 0.105583i
\(218\) −1.51883e8 2.28927e7i −0.992915 0.149658i
\(219\) 6.11844e6 2.68066e7i 0.0393628 0.172460i
\(220\) 4.63690e6 + 3.16139e6i 0.0293595 + 0.0200170i
\(221\) 1.26786e8 + 2.19600e8i 0.790132 + 1.36855i
\(222\) −1.96931e7 + 3.41095e7i −0.120803 + 0.209238i
\(223\) −1.83414e8 + 8.83274e7i −1.10755 + 0.533370i −0.896026 0.444002i \(-0.853558\pi\)
−0.211528 + 0.977372i \(0.567844\pi\)
\(224\) −9.57456e6 2.95336e6i −0.0569181 0.0175569i
\(225\) −3.40723e6 4.54663e7i −0.0199417 0.266104i
\(226\) 4.40377e7 + 1.92942e8i 0.253773 + 1.11185i
\(227\) 1.28902e7 3.28436e7i 0.0731423 0.186364i −0.889627 0.456688i \(-0.849036\pi\)
0.962769 + 0.270324i \(0.0871309\pi\)
\(228\) −369873. + 4.93561e6i −0.00206671 + 0.0275784i
\(229\) −2.07814e8 + 3.13229e7i −1.14354 + 0.172360i −0.693368 0.720583i \(-0.743874\pi\)
−0.450168 + 0.892944i \(0.648636\pi\)
\(230\) −5.00544e7 4.64437e7i −0.271266 0.251698i
\(231\) 8.62968e7 + 4.15583e7i 0.460630 + 0.221828i
\(232\) −3.21674e7 + 2.19314e7i −0.169125 + 0.115308i
\(233\) −2.45091e7 6.24481e7i −0.126935 0.323425i 0.853252 0.521499i \(-0.174627\pi\)
−0.980187 + 0.198073i \(0.936532\pi\)
\(234\) −8.48801e7 + 2.61820e7i −0.433062 + 0.133582i
\(235\) −6.67401e7 + 6.19258e7i −0.335467 + 0.311268i
\(236\) 1.18538e7 1.48642e7i 0.0587037 0.0736122i
\(237\) 2.18291e6 2.73728e6i 0.0106516 0.0133567i
\(238\) −8.08948e7 + 7.50594e7i −0.388957 + 0.360899i
\(239\) −2.49237e8 + 7.68795e7i −1.18092 + 0.364266i −0.822210 0.569184i \(-0.807259\pi\)
−0.358710 + 0.933449i \(0.616783\pi\)
\(240\) −4.49581e7 1.14551e8i −0.209927 0.534886i
\(241\) 1.57093e8 1.07104e8i 0.722933 0.492888i −0.145085 0.989419i \(-0.546346\pi\)
0.868019 + 0.496532i \(0.165393\pi\)
\(242\) −3.24519e6 1.56280e6i −0.0147193 0.00708842i
\(243\) −1.15913e8 1.07551e8i −0.518214 0.480832i
\(244\) −1.65314e7 + 2.49171e6i −0.0728526 + 0.0109808i
\(245\) 7.33561e6 9.78869e7i 0.0318680 0.425249i
\(246\) 3.40215e7 8.66855e7i 0.145707 0.371256i
\(247\) 2.32778e7 + 1.01987e8i 0.0982885 + 0.430630i
\(248\) −5.67410e6 7.57156e7i −0.0236220 0.315213i
\(249\) −2.49462e7 7.69488e6i −0.102402 0.0315867i
\(250\) 1.95586e8 9.41892e7i 0.791676 0.381251i
\(251\) 1.71599e8 2.97218e8i 0.684947 1.18636i −0.288507 0.957478i \(-0.593159\pi\)
0.973454 0.228885i \(-0.0735079\pi\)
\(252\) 1.40438e6 + 2.43245e6i 0.00552818 + 0.00957509i
\(253\) 1.52859e8 + 1.04218e8i 0.593430 + 0.404594i
\(254\) 5.19759e7 2.27721e8i 0.199014 0.871937i
\(255\) 2.02344e8 + 3.04984e7i 0.764186 + 0.115182i
\(256\) −3.38513e7 4.24482e7i −0.126106 0.158132i
\(257\) 3.59215e8 1.32004 0.660022 0.751246i \(-0.270547\pi\)
0.660022 + 0.751246i \(0.270547\pi\)
\(258\) −2.85486e8 + 1.25395e8i −1.03494 + 0.454580i
\(259\) 2.63228e7 0.0941417
\(260\) 8.02069e6 + 1.00576e7i 0.0283012 + 0.0354886i
\(261\) 2.08989e7 + 3.15000e6i 0.0727580 + 0.0109665i
\(262\) 3.81405e7 1.67104e8i 0.131018 0.574029i
\(263\) −3.69449e8 2.51886e8i −1.25230 0.853806i −0.258614 0.965981i \(-0.583266\pi\)
−0.993688 + 0.112175i \(0.964218\pi\)
\(264\) 1.78881e8 + 3.09832e8i 0.598344 + 1.03636i
\(265\) −4.29347e7 + 7.43651e7i −0.141726 + 0.245476i
\(266\) −4.10171e7 + 1.97528e7i −0.133622 + 0.0643491i
\(267\) −5.53863e8 1.70844e8i −1.78079 0.549301i
\(268\) −3.03452e6 4.04929e7i −0.00962983 0.128501i
\(269\) −9.33819e6 4.09133e7i −0.0292503 0.128154i 0.958195 0.286117i \(-0.0923645\pi\)
−0.987445 + 0.157963i \(0.949507\pi\)
\(270\) 4.44786e7 1.13330e8i 0.137524 0.350405i
\(271\) −4.69126e7 + 6.26004e8i −0.143185 + 1.91067i 0.214334 + 0.976761i \(0.431242\pi\)
−0.357518 + 0.933906i \(0.616377\pi\)
\(272\) −3.79849e8 + 5.72530e7i −1.14451 + 0.172507i
\(273\) 1.60946e8 + 1.49336e8i 0.478752 + 0.444217i
\(274\) 6.70931e7 + 3.23103e7i 0.197038 + 0.0948887i
\(275\) −2.03442e8 + 1.38705e8i −0.589898 + 0.402186i
\(276\) 7.33044e6 + 1.86777e7i 0.0209869 + 0.0534737i
\(277\) 5.77876e8 1.78251e8i 1.63364 0.503910i 0.663850 0.747866i \(-0.268921\pi\)
0.969786 + 0.243955i \(0.0784450\pi\)
\(278\) −1.77057e8 + 1.64285e8i −0.494262 + 0.458608i
\(279\) −2.56993e7 + 3.22259e7i −0.0708445 + 0.0888362i
\(280\) −5.50215e7 + 6.89948e7i −0.149789 + 0.187829i
\(281\) −2.33512e8 + 2.16667e8i −0.627822 + 0.582534i −0.928564 0.371172i \(-0.878956\pi\)
0.300742 + 0.953705i \(0.402766\pi\)
\(282\) −3.51845e8 + 1.08530e8i −0.934285 + 0.288189i
\(283\) −1.60749e8 4.09583e8i −0.421596 1.07421i −0.971090 0.238712i \(-0.923275\pi\)
0.549494 0.835498i \(-0.314820\pi\)
\(284\) −8.72890e6 + 5.95126e6i −0.0226123 + 0.0154168i
\(285\) 7.60582e7 + 3.66277e7i 0.194621 + 0.0937244i
\(286\) 3.51647e8 + 3.26281e8i 0.888844 + 0.824727i
\(287\) −6.15409e7 + 9.27580e6i −0.153666 + 0.0231614i
\(288\) −1.51828e6 + 2.02600e7i −0.00374522 + 0.0499765i
\(289\) 8.34565e7 2.12644e8i 0.203384 0.518215i
\(290\) 9.37397e6 + 4.10700e7i 0.0225699 + 0.0988854i
\(291\) −1.48857e7 1.98637e8i −0.0354116 0.472535i
\(292\) −4.16095e6 1.28348e6i −0.00978032 0.00301683i
\(293\) −2.82012e8 + 1.35810e8i −0.654985 + 0.315424i −0.731698 0.681629i \(-0.761272\pi\)
0.0767127 + 0.997053i \(0.475558\pi\)
\(294\) 1.98493e8 3.43801e8i 0.455544 0.789025i
\(295\) −1.62135e8 2.80827e8i −0.367706 0.636886i
\(296\) 8.12357e7 + 5.53856e7i 0.182065 + 0.124130i
\(297\) −7.34010e7 + 3.21591e8i −0.162575 + 0.712289i
\(298\) 7.37898e8 + 1.11220e8i 1.61525 + 0.243460i
\(299\) 2.64408e8 + 3.31558e8i 0.572040 + 0.717315i
\(300\) −2.67043e7 −0.0571028
\(301\) 1.67975e8 + 1.23333e8i 0.355028 + 0.260673i
\(302\) 7.95883e8 1.66274
\(303\) 2.28228e8 + 2.86189e8i 0.471325 + 0.591022i
\(304\) −1.56704e8 2.36193e7i −0.319906 0.0482181i
\(305\) −6.34509e7 + 2.77997e8i −0.128053 + 0.561035i
\(306\) 1.84881e8 + 1.26050e8i 0.368864 + 0.251488i
\(307\) −4.63395e8 8.02623e8i −0.914043 1.58317i −0.808296 0.588776i \(-0.799610\pi\)
−0.105747 0.994393i \(-0.533723\pi\)
\(308\) 7.58428e6 1.31364e7i 0.0147906 0.0256181i
\(309\) 7.12085e8 3.42922e8i 1.37302 0.661212i
\(310\) −7.85068e7 2.42161e7i −0.149672 0.0461678i
\(311\) −6.31093e7 8.42135e8i −0.118968 1.58752i −0.663105 0.748527i \(-0.730762\pi\)
0.544136 0.838997i \(-0.316857\pi\)
\(312\) 1.82485e8 + 7.99517e8i 0.340161 + 1.49034i
\(313\) 2.52894e8 6.44364e8i 0.466159 1.18775i −0.483744 0.875209i \(-0.660723\pi\)
0.949903 0.312544i \(-0.101181\pi\)
\(314\) 2.35954e7 3.14859e8i 0.0430104 0.573934i
\(315\) 4.73713e7 7.14008e6i 0.0853943 0.0128711i
\(316\) −406443. 377124.i −0.000724594 0.000672325i
\(317\) 4.61632e8 + 2.22310e8i 0.813933 + 0.391969i 0.794065 0.607833i \(-0.207961\pi\)
0.0198680 + 0.999803i \(0.493675\pi\)
\(318\) −2.86932e8 + 1.95627e8i −0.500362 + 0.341141i
\(319\) −4.16993e7 1.06248e8i −0.0719220 0.183254i
\(320\) −3.13616e8 + 9.67378e7i −0.535024 + 0.165033i
\(321\) 1.36087e8 1.26270e8i 0.229640 0.213075i
\(322\) −1.15069e8 + 1.44292e8i −0.192072 + 0.240850i
\(323\) 1.64303e8 2.06029e8i 0.271291 0.340189i
\(324\) −3.74905e7 + 3.47861e7i −0.0612370 + 0.0568196i
\(325\) −5.39337e8 + 1.66363e8i −0.871502 + 0.268823i
\(326\) 1.32871e8 + 3.38550e8i 0.212407 + 0.541205i
\(327\) 6.36058e8 4.33657e8i 1.00596 0.685850i
\(328\) −2.09441e8 1.00862e8i −0.327720 0.157822i
\(329\) 1.80388e8 + 1.67376e8i 0.279269 + 0.259124i
\(330\) 3.82789e8 5.76961e7i 0.586355 0.0883787i
\(331\) 3.25197e7 4.33945e8i 0.0492889 0.657714i −0.916774 0.399407i \(-0.869216\pi\)
0.966063 0.258308i \(-0.0831648\pi\)
\(332\) −1.51042e6 + 3.84849e6i −0.00226524 + 0.00577175i
\(333\) −1.18769e7 5.20360e7i −0.0176258 0.0772235i
\(334\) 5.44664e7 + 7.26804e8i 0.0799864 + 1.06734i
\(335\) −6.61817e8 2.04144e8i −0.961792 0.296674i
\(336\) −2.99669e8 + 1.44313e8i −0.430977 + 0.207547i
\(337\) 4.86008e8 8.41791e8i 0.691734 1.19812i −0.279536 0.960135i \(-0.590181\pi\)
0.971269 0.237983i \(-0.0764861\pi\)
\(338\) 2.07071e8 + 3.58657e8i 0.291682 + 0.505208i
\(339\) −8.19525e8 5.58743e8i −1.14252 0.778956i
\(340\) 7.21104e6 3.15936e7i 0.00994996 0.0435936i
\(341\) 2.20112e8 + 3.31765e7i 0.300610 + 0.0453097i
\(342\) 5.75552e7 + 7.21719e7i 0.0778024 + 0.0975612i
\(343\) −5.94489e8 −0.795452
\(344\) 2.58891e8 + 7.34058e8i 0.342896 + 0.972245i
\(345\) 3.42224e8 0.448688
\(346\) 4.36063e8 + 5.46806e8i 0.565956 + 0.709687i
\(347\) −1.01726e8 1.53328e7i −0.130702 0.0197001i 0.0833656 0.996519i \(-0.473433\pi\)
−0.214067 + 0.976819i \(0.568671\pi\)
\(348\) 2.75453e6 1.20684e7i 0.00350365 0.0153505i
\(349\) −4.51903e8 3.08102e8i −0.569058 0.387977i 0.244336 0.969691i \(-0.421430\pi\)
−0.813394 + 0.581714i \(0.802382\pi\)
\(350\) −1.22815e8 2.12721e8i −0.153113 0.265199i
\(351\) −3.78061e8 + 6.54820e8i −0.466645 + 0.808253i
\(352\) 9.88542e7 4.76057e7i 0.120808 0.0581781i
\(353\) −1.42169e9 4.38532e8i −1.72025 0.530628i −0.731717 0.681609i \(-0.761281\pi\)
−0.988537 + 0.150981i \(0.951757\pi\)
\(354\) −9.80029e7 1.30776e9i −0.117416 1.56681i
\(355\) 4.00963e7 + 1.75673e8i 0.0475669 + 0.208404i
\(356\) −3.35348e7 + 8.54453e7i −0.0393932 + 0.100372i
\(357\) 4.13319e7 5.51535e8i 0.0480780 0.641556i
\(358\) −1.10042e9 + 1.65861e8i −1.26755 + 0.191053i
\(359\) 6.62999e8 + 6.15173e8i 0.756279 + 0.701725i 0.960832 0.277131i \(-0.0893835\pi\)
−0.204553 + 0.978856i \(0.565574\pi\)
\(360\) 1.61218e8 + 7.76385e7i 0.182119 + 0.0877038i
\(361\) −6.48728e8 + 4.42295e8i −0.725751 + 0.494808i
\(362\) −2.66644e8 6.79399e8i −0.295429 0.752740i
\(363\) 1.72503e7 5.32102e6i 0.0189288 0.00583877i
\(364\) 2.54882e7 2.36496e7i 0.0277003 0.0257021i
\(365\) −4.63061e7 + 5.80660e7i −0.0498440 + 0.0625024i
\(366\) −7.19005e8 + 9.01604e8i −0.766563 + 0.961240i
\(367\) −1.33526e9 + 1.23894e9i −1.41005 + 1.30833i −0.518736 + 0.854934i \(0.673597\pi\)
−0.891309 + 0.453397i \(0.850212\pi\)
\(368\) −6.13898e8 + 1.89362e8i −0.642139 + 0.198074i
\(369\) 4.61042e7 + 1.17472e8i 0.0477693 + 0.121714i
\(370\) 8.79001e7 5.99293e7i 0.0902159 0.0615082i
\(371\) 2.09108e8 + 1.00701e8i 0.212599 + 0.102382i
\(372\) 1.76971e7 + 1.64205e7i 0.0178239 + 0.0165381i
\(373\) 1.40575e9 2.11883e8i 1.40258 0.211405i 0.596217 0.802823i \(-0.296670\pi\)
0.806365 + 0.591418i \(0.201432\pi\)
\(374\) 9.03050e7 1.20504e9i 0.0892609 1.19110i
\(375\) −3.97493e8 + 1.01280e9i −0.389243 + 0.991774i
\(376\) 2.04529e8 + 8.96101e8i 0.198426 + 0.869359i
\(377\) −1.95518e7 2.60901e8i −0.0187928 0.250773i
\(378\) −3.14441e8 9.69921e7i −0.299445 0.0923666i
\(379\) −2.24111e7 + 1.07926e7i −0.0211459 + 0.0101833i −0.444427 0.895815i \(-0.646593\pi\)
0.423281 + 0.905998i \(0.360878\pi\)
\(380\) 6.68445e6 1.15778e7i 0.00624918 0.0108239i
\(381\) 5.85335e8 + 1.01383e9i 0.542209 + 0.939134i
\(382\) −4.17580e8 2.84701e8i −0.383282 0.261317i
\(383\) −2.64348e8 + 1.15818e9i −0.240425 + 1.05337i 0.700206 + 0.713941i \(0.253091\pi\)
−0.940631 + 0.339430i \(0.889766\pi\)
\(384\) −1.13877e9 1.71642e8i −1.02630 0.154690i
\(385\) −1.61307e8 2.02272e8i −0.144059 0.180644i
\(386\) 2.70619e8 0.239499
\(387\) 1.68019e8 3.87709e8i 0.147357 0.340030i
\(388\) −3.15453e7 −0.0274172
\(389\) 1.33503e9 + 1.67407e9i 1.14992 + 1.44195i 0.877374 + 0.479808i \(0.159294\pi\)
0.272544 + 0.962143i \(0.412135\pi\)
\(390\) 8.77444e8 + 1.32253e8i 0.749020 + 0.112897i
\(391\) 2.37717e8 1.04151e9i 0.201114 0.881138i
\(392\) −8.18801e8 5.58249e8i −0.686557 0.468087i
\(393\) 4.29526e8 + 7.43960e8i 0.356956 + 0.618267i
\(394\) 4.45833e8 7.72205e8i 0.367227 0.636057i
\(395\) −8.52028e6 + 4.10315e6i −0.00695608 + 0.00334987i
\(396\) −2.93906e7 9.06580e6i −0.0237835 0.00733623i
\(397\) −8.23252e7 1.09855e9i −0.0660338 0.881160i −0.927614 0.373539i \(-0.878144\pi\)
0.861581 0.507621i \(-0.169475\pi\)
\(398\) −2.55532e7 1.11956e8i −0.0203168 0.0890137i
\(399\) 8.33598e7 2.12397e8i 0.0656979 0.167396i
\(400\) 6.38967e7 8.52642e8i 0.0499193 0.666127i
\(401\) 2.08967e9 3.14967e8i 1.61835 0.243927i 0.723510 0.690314i \(-0.242528\pi\)
0.894840 + 0.446387i \(0.147289\pi\)
\(402\) −2.05326e9 1.90515e9i −1.57635 1.46264i
\(403\) 4.59718e8 + 2.21389e8i 0.349884 + 0.168495i
\(404\) 4.78966e7 3.26554e7i 0.0361385 0.0246388i
\(405\) 3.18687e8 + 8.12001e8i 0.238381 + 0.607385i
\(406\) 1.08802e8 3.35611e7i 0.0806858 0.0248883i
\(407\) −2.11299e8 + 1.96056e8i −0.155352 + 0.144145i
\(408\) 1.28804e9 1.61515e9i 0.938898 1.17734i
\(409\) −1.14172e9 + 1.43167e9i −0.825139 + 1.03469i 0.173616 + 0.984813i \(0.444455\pi\)
−0.998755 + 0.0498783i \(0.984117\pi\)
\(410\) −1.84386e8 + 1.71086e8i −0.132125 + 0.122594i
\(411\) −3.56644e8 + 1.10010e8i −0.253390 + 0.0781604i
\(412\) −4.57278e7 1.16512e8i −0.0322136 0.0820790i
\(413\) −7.24161e8 + 4.93725e8i −0.505837 + 0.344874i
\(414\) 3.37163e8 + 1.62369e8i 0.233528 + 0.112461i
\(415\) 5.16909e7 + 4.79622e7i 0.0355014 + 0.0329405i
\(416\) 2.48695e8 3.74848e7i 0.169372 0.0255287i
\(417\) 9.04646e7 1.20717e9i 0.0610945 0.815250i
\(418\) 1.82131e8 4.64062e8i 0.121974 0.310784i
\(419\) 1.15081e8 + 5.04202e8i 0.0764283 + 0.334854i 0.998658 0.0517879i \(-0.0164920\pi\)
−0.922230 + 0.386642i \(0.873635\pi\)
\(420\) −2.09684e6 2.79804e7i −0.00138100 0.0184281i
\(421\) 1.12554e8 + 3.47183e7i 0.0735146 + 0.0226762i 0.331294 0.943527i \(-0.392515\pi\)
−0.257780 + 0.966204i \(0.582991\pi\)
\(422\) 9.73657e8 4.68889e8i 0.630685 0.303722i
\(423\) 2.49485e8 4.32121e8i 0.160270 0.277596i
\(424\) 4.33452e8 + 7.50760e8i 0.276160 + 0.478322i
\(425\) 1.17475e9 + 8.00932e8i 0.742309 + 0.506098i
\(426\) −1.62158e8 + 7.10462e8i −0.101626 + 0.445254i
\(427\) 7.62098e8 + 1.14868e8i 0.473711 + 0.0714004i
\(428\) −1.83303e7 2.29855e7i −0.0113010 0.0141710i
\(429\) −2.40423e9 −1.47020
\(430\) 8.41715e8 + 2.94172e7i 0.510535 + 0.0178428i
\(431\) 2.69572e9 1.62183 0.810913 0.585167i \(-0.198971\pi\)
0.810913 + 0.585167i \(0.198971\pi\)
\(432\) −7.14179e8 8.95552e8i −0.426201 0.534439i
\(433\) −2.01810e8 3.04180e7i −0.119463 0.0180062i 0.0890384 0.996028i \(-0.471621\pi\)
−0.208502 + 0.978022i \(0.566859\pi\)
\(434\) −4.94124e7 + 2.16490e8i −0.0290150 + 0.127123i
\(435\) −1.74446e8 1.18935e8i −0.101613 0.0692786i
\(436\) −6.09566e7 1.05580e8i −0.0352223 0.0610069i
\(437\) 2.20358e8 3.81672e8i 0.126312 0.218779i
\(438\) −2.70616e8 + 1.30322e8i −0.153884 + 0.0741068i
\(439\) −2.95810e8 9.12454e7i −0.166873 0.0514737i 0.210193 0.977660i \(-0.432591\pi\)
−0.377066 + 0.926186i \(0.623067\pi\)
\(440\) −7.22153e7 9.63646e8i −0.0404152 0.539304i
\(441\) 1.19711e8 + 5.24488e8i 0.0664659 + 0.291206i
\(442\) 1.01199e9 2.57850e9i 0.557439 1.42033i
\(443\) 1.70933e8 2.28095e9i 0.0934143 1.24653i −0.731726 0.681599i \(-0.761285\pi\)
0.825140 0.564928i \(-0.191096\pi\)
\(444\) −3.09122e7 + 4.65926e6i −0.0167606 + 0.00252625i
\(445\) 1.14766e9 + 1.06487e9i 0.617379 + 0.572844i
\(446\) 2.00358e9 + 9.64871e8i 1.06938 + 0.514988i
\(447\) −3.09018e9 + 2.10685e9i −1.63647 + 1.11572i
\(448\) 3.24082e8 + 8.25747e8i 0.170287 + 0.433885i
\(449\) 2.21337e9 6.82735e8i 1.15396 0.355951i 0.342024 0.939691i \(-0.388888\pi\)
0.811940 + 0.583741i \(0.198412\pi\)
\(450\) −3.65103e8 + 3.38766e8i −0.188874 + 0.175249i
\(451\) 4.24915e8 5.32826e8i 0.218114 0.273507i
\(452\) −9.79367e7 + 1.22809e8i −0.0498840 + 0.0625525i
\(453\) −2.92407e9 + 2.71314e9i −1.47790 + 1.37129i
\(454\) −3.68297e8 + 1.13605e8i −0.184715 + 0.0569772i
\(455\) −2.16662e8 5.52045e8i −0.107831 0.274748i
\(456\) 7.04164e8 4.80091e8i 0.347774 0.237108i
\(457\) −1.44761e7 6.97130e6i −0.00709485 0.00341670i 0.430333 0.902670i \(-0.358396\pi\)
−0.437428 + 0.899254i \(0.644110\pi\)
\(458\) 1.68291e9 + 1.56151e9i 0.818525 + 0.759480i
\(459\) 1.88347e9 2.83887e8i 0.909103 0.137025i
\(460\) 4.05010e6 5.40449e7i 0.00194005 0.0258882i
\(461\) 6.68945e8 1.70444e9i 0.318007 0.810269i −0.679085 0.734060i \(-0.737623\pi\)
0.997092 0.0762092i \(-0.0242817\pi\)
\(462\) −2.32825e8 1.02007e9i −0.109846 0.481265i
\(463\) −1.76525e8 2.35556e9i −0.0826556 1.10296i −0.872161 0.489219i \(-0.837282\pi\)
0.789506 0.613743i \(-0.210337\pi\)
\(464\) 3.78740e8 + 1.16826e8i 0.176006 + 0.0542908i
\(465\) 3.70985e8 1.78657e8i 0.171108 0.0824015i
\(466\) −3.66415e8 + 6.34649e8i −0.167734 + 0.290525i
\(467\) −9.31198e8 1.61288e9i −0.423090 0.732814i 0.573150 0.819451i \(-0.305721\pi\)
−0.996240 + 0.0866368i \(0.972388\pi\)
\(468\) −5.82519e7 3.97155e7i −0.0262694 0.0179102i
\(469\) −4.16550e8 + 1.82502e9i −0.186450 + 0.816890i
\(470\) 9.83441e8 + 1.48230e8i 0.436924 + 0.0658557i
\(471\) 9.86653e8 + 1.23722e9i 0.435102 + 0.545601i
\(472\) −3.27371e9 −1.43299
\(473\) −2.26698e9 + 2.61088e8i −0.984993 + 0.113442i
\(474\) −3.82454e7 −0.0164951
\(475\) 3.65712e8 + 4.58588e8i 0.156571 + 0.196334i
\(476\) −8.66105e7 1.30544e7i −0.0368084 0.00554797i
\(477\) 1.04721e8 4.58811e8i 0.0441792 0.193562i
\(478\) 2.35412e9 + 1.60501e9i 0.985897 + 0.672173i
\(479\) 8.18647e8 + 1.41794e9i 0.340347 + 0.589499i 0.984497 0.175401i \(-0.0561220\pi\)
−0.644150 + 0.764899i \(0.722789\pi\)
\(480\) 1.01480e8 1.75769e8i 0.0418829 0.0725432i
\(481\) −5.95295e8 + 2.86679e8i −0.243907 + 0.117459i
\(482\) −1.98468e9 6.12192e8i −0.807283 0.249014i
\(483\) −6.91239e7 9.22395e8i −0.0279134 0.372479i
\(484\) −636156. 2.78718e6i −0.000255038 0.00111739i
\(485\) −1.96568e8 + 5.00847e8i −0.0782378 + 0.199347i
\(486\) −1.29082e8 + 1.72248e9i −0.0510081 + 0.680656i
\(487\) −3.02345e9 + 4.55712e8i −1.18618 + 0.178788i −0.712348 0.701826i \(-0.752368\pi\)
−0.473834 + 0.880614i \(0.657130\pi\)
\(488\) 2.11025e9 + 1.95803e9i 0.821986 + 0.762692i
\(489\) −1.64227e9 7.90878e8i −0.635133 0.305864i
\(490\) −8.85973e8 + 6.04046e8i −0.340200 + 0.231944i
\(491\) 1.05701e9 + 2.69322e9i 0.402990 + 1.02680i 0.977991 + 0.208649i \(0.0669067\pi\)
−0.575000 + 0.818153i \(0.694998\pi\)
\(492\) 7.06289e7 2.17861e7i 0.0267365 0.00824711i
\(493\) −4.83137e8 + 4.48285e8i −0.181596 + 0.168496i
\(494\) 7.12484e8 8.93426e8i 0.265907 0.333437i
\(495\) −3.27080e8 + 4.10145e8i −0.121209 + 0.151991i
\(496\) −5.66635e8 + 5.25760e8i −0.208505 + 0.193465i
\(497\) 4.65392e8 1.43554e8i 0.170048 0.0524529i
\(498\) 1.04187e8 + 2.65464e8i 0.0378016 + 0.0963170i
\(499\) −2.15605e9 + 1.46997e9i −0.776797 + 0.529611i −0.885598 0.464452i \(-0.846251\pi\)
0.108801 + 0.994064i \(0.465299\pi\)
\(500\) 1.55239e8 + 7.47591e7i 0.0555400 + 0.0267466i
\(501\) −2.67776e9 2.48460e9i −0.951348 0.882722i
\(502\) −3.70716e9 + 5.58764e8i −1.30791 + 0.197136i
\(503\) −1.23608e8 + 1.64943e9i −0.0433071 + 0.577893i 0.932771 + 0.360471i \(0.117384\pi\)
−0.976078 + 0.217422i \(0.930235\pi\)
\(504\) 1.76695e8 4.50211e8i 0.0614776 0.156642i
\(505\) −2.20014e8 9.63943e8i −0.0760204 0.333067i
\(506\) −1.51027e8 2.01532e9i −0.0518237 0.691539i
\(507\) −1.98342e9 6.11805e8i −0.675908 0.208490i
\(508\) 1.67033e8 8.04391e7i 0.0565302 0.0272235i
\(509\) 2.52035e9 4.36538e9i 0.847128 1.46727i −0.0366323 0.999329i \(-0.511663\pi\)
0.883760 0.467940i \(-0.155004\pi\)
\(510\) −1.11767e9 1.93585e9i −0.373092 0.646214i
\(511\) 1.65858e8 + 1.13080e8i 0.0549874 + 0.0374897i
\(512\) −7.31098e8 + 3.20315e9i −0.240730 + 1.05471i
\(513\) 7.77010e8 + 1.17115e8i 0.254106 + 0.0383004i
\(514\) −2.44657e9 3.06790e9i −0.794671 0.996485i
\(515\) −2.13482e9 −0.688709
\(516\) −2.19092e8 1.15104e8i −0.0702026 0.0368821i
\(517\) −2.69466e9 −0.857606
\(518\) −1.79281e8 2.24812e8i −0.0566736 0.0710664i
\(519\) −3.46613e9 5.22436e8i −1.08833 0.164039i
\(520\) 4.92907e8 2.15957e9i 0.153728 0.673527i
\(521\) 2.13885e9 + 1.45824e9i 0.662594 + 0.451749i 0.847350 0.531035i \(-0.178197\pi\)
−0.184755 + 0.982785i \(0.559149\pi\)
\(522\) −1.15437e8 1.99943e8i −0.0355221 0.0615260i
\(523\) 1.84908e9 3.20270e9i 0.565197 0.978950i −0.431835 0.901953i \(-0.642134\pi\)
0.997031 0.0769967i \(-0.0245331\pi\)
\(524\) 1.22571e8 5.90272e7i 0.0372159 0.0179222i
\(525\) 1.17638e9 + 3.62865e8i 0.354805 + 0.109443i
\(526\) 3.65022e8 + 4.87087e9i 0.109363 + 1.45934i
\(527\) −2.86020e8 1.25314e9i −0.0851255 0.372959i
\(528\) 1.33064e9 3.39041e9i 0.393407 1.00238i
\(529\) −1.20928e8 + 1.61367e9i −0.0355167 + 0.473937i
\(530\) 9.27545e8 1.39805e8i 0.270626 0.0407903i
\(531\) 1.30276e9 + 1.20879e9i 0.377602 + 0.350363i
\(532\) −3.25557e7 1.56780e7i −0.00937425 0.00451440i
\(533\) 1.29074e9 8.80011e8i 0.369227 0.251735i
\(534\) 2.31319e9 + 5.89391e9i 0.657380 + 1.67498i
\(535\) −4.79164e8 + 1.47802e8i −0.135284 + 0.0417295i
\(536\) −5.12556e9 + 4.75582e9i −1.43769 + 1.33398i
\(537\) 3.47750e9 4.36065e9i 0.969075 1.21518i
\(538\) −2.85822e8 + 3.58409e8i −0.0791329 + 0.0992296i
\(539\) 2.12974e9 1.97611e9i 0.585824 0.543565i
\(540\) 9.23378e7 2.84824e7i 0.0252349 0.00778393i
\(541\) 1.12398e9 + 2.86386e9i 0.305189 + 0.777608i 0.998382 + 0.0568567i \(0.0181078\pi\)
−0.693194 + 0.720751i \(0.743797\pi\)
\(542\) 5.66596e9 3.86298e9i 1.52854 1.04214i
\(543\) 3.29570e9 + 1.58712e9i 0.883381 + 0.425414i
\(544\) −4.64435e8 4.30932e8i −0.123688 0.114766i
\(545\) −2.05614e9 + 3.09913e8i −0.544082 + 0.0820072i
\(546\) 1.79232e8 2.39168e9i 0.0471238 0.628824i
\(547\) 2.24175e8 5.71188e8i 0.0585641 0.149219i −0.898597 0.438775i \(-0.855412\pi\)
0.957161 + 0.289556i \(0.0935077\pi\)
\(548\) 1.31523e7 + 5.76240e7i 0.00341405 + 0.0149579i
\(549\) −1.16784e8 1.55838e9i −0.0301219 0.401948i
\(550\) 2.57024e9 + 7.92815e8i 0.658726 + 0.203190i
\(551\) −2.44971e8 + 1.17972e8i −0.0623855 + 0.0300433i
\(552\) 1.72748e9 2.99208e9i 0.437146 0.757159i
\(553\) 1.27802e7 + 2.21359e7i 0.00321365 + 0.00556620i
\(554\) −5.45822e9 3.72135e9i −1.36385 0.929857i
\(555\) −1.18647e8 + 5.19828e8i −0.0294600 + 0.129073i
\(556\) −1.89568e8 2.85727e7i −0.0467738 0.00705001i
\(557\) 7.85029e8 + 9.84395e8i 0.192483 + 0.241366i 0.868703 0.495334i \(-0.164954\pi\)
−0.676220 + 0.736700i \(0.736383\pi\)
\(558\) 4.50262e8 0.109710
\(559\) −5.14200e9 9.59796e8i −1.24506 0.232401i
\(560\) 8.98401e8 0.216178
\(561\) 3.77615e9 + 4.73514e9i 0.902982 + 1.13230i
\(562\) 3.44088e9 + 5.18630e8i 0.817698 + 0.123248i
\(563\) 5.00624e8 2.19338e9i 0.118231 0.518005i −0.880779 0.473527i \(-0.842981\pi\)
0.999010 0.0444775i \(-0.0141623\pi\)
\(564\) −2.41466e8 1.64629e8i −0.0566734 0.0386393i
\(565\) 1.33957e9 + 2.32020e9i 0.312461 + 0.541199i
\(566\) −2.40323e9 + 4.16251e9i −0.557105 + 0.964935i
\(567\) 2.12421e9 1.02297e9i 0.489392 0.235679i
\(568\) 1.73832e9 + 5.36200e8i 0.398025 + 0.122774i
\(569\) −3.50629e8 4.67882e9i −0.0797911 1.06474i −0.883103 0.469180i \(-0.844550\pi\)
0.803312 0.595559i \(-0.203069\pi\)
\(570\) −2.05202e8 8.99048e8i −0.0464108 0.203339i
\(571\) −7.06680e8 + 1.80059e9i −0.158853 + 0.404752i −0.988035 0.154227i \(-0.950711\pi\)
0.829182 + 0.558979i \(0.188807\pi\)
\(572\) −2.84532e7 + 3.79681e8i −0.00635688 + 0.0848267i
\(573\) 2.50472e9 3.77526e8i 0.556184 0.0838313i
\(574\) 4.98369e8 + 4.62419e8i 0.109992 + 0.102057i
\(575\) 2.14237e9 + 1.03171e9i 0.469955 + 0.226318i
\(576\) 1.48615e9 1.01324e9i 0.324029 0.220919i
\(577\) 1.00199e9 + 2.55304e9i 0.217145 + 0.553277i 0.997390 0.0721970i \(-0.0230010\pi\)
−0.780245 + 0.625474i \(0.784906\pi\)
\(578\) −2.38451e9 + 7.35525e8i −0.513632 + 0.158435i
\(579\) −9.94253e8 + 9.22532e8i −0.212874 + 0.197518i
\(580\) −2.08471e7 + 2.61414e7i −0.00443657 + 0.00556328i
\(581\) 1.18831e8 1.49010e8i 0.0251370 0.0315209i
\(582\) −1.59509e9 + 1.48002e9i −0.335393 + 0.311199i
\(583\) −2.42859e9 + 7.49122e8i −0.507592 + 0.156571i
\(584\) 2.73930e8 + 6.97961e8i 0.0569107 + 0.145006i
\(585\) −9.93550e8 + 6.77391e8i −0.205184 + 0.139892i
\(586\) 3.08065e9 + 1.48356e9i 0.632413 + 0.304554i
\(587\) −6.41897e9 5.95593e9i −1.30988 1.21539i −0.960457 0.278427i \(-0.910187\pi\)
−0.349424 0.936965i \(-0.613623\pi\)
\(588\) 3.11574e8 4.69622e7i 0.0632033 0.00952637i
\(589\) 3.96269e7 5.28785e8i 0.00799074 0.106629i
\(590\) −1.29414e9 + 3.29741e9i −0.259417 + 0.660984i
\(591\) 9.94435e8 + 4.35690e9i 0.198162 + 0.868204i
\(592\) −7.48004e7 9.98142e8i −0.0148176 0.197727i
\(593\) 5.85425e9 + 1.80580e9i 1.15287 + 0.355613i 0.811521 0.584324i \(-0.198640\pi\)
0.341348 + 0.939937i \(0.389116\pi\)
\(594\) 3.24650e9 1.56343e9i 0.635569 0.306074i
\(595\) −7.46961e8 + 1.29378e9i −0.145375 + 0.251796i
\(596\) 2.96147e8 + 5.12942e8i 0.0572988 + 0.0992444i
\(597\) 4.75537e8 + 3.24215e8i 0.0914690 + 0.0623625i
\(598\) 1.03084e9 4.51640e9i 0.197123 0.863651i
\(599\) −6.12441e9 9.23106e8i −1.16431 0.175492i −0.461682 0.887045i \(-0.652754\pi\)
−0.702632 + 0.711553i \(0.747992\pi\)
\(600\) 2.86697e9 + 3.59506e9i 0.541868 + 0.679481i
\(601\) −9.41432e9 −1.76900 −0.884501 0.466538i \(-0.845501\pi\)
−0.884501 + 0.466538i \(0.845501\pi\)
\(602\) −9.07252e7 2.27461e9i −0.0169489 0.424932i
\(603\) 3.79574e9 0.704995
\(604\) 3.93860e8 + 4.93884e8i 0.0727297 + 0.0912002i
\(605\) −4.82163e7 7.26744e6i −0.00885218 0.00133425i
\(606\) 8.89785e8 3.89840e9i 0.162417 0.711594i
\(607\) 6.97394e9 + 4.75475e9i 1.26566 + 0.862913i 0.995011 0.0997643i \(-0.0318089\pi\)
0.270650 + 0.962678i \(0.412761\pi\)
\(608\) −1.30686e8 2.26355e8i −0.0235812 0.0408439i
\(609\) −2.85330e8 + 4.94207e8i −0.0511903 + 0.0886642i
\(610\) 2.80641e9 1.35150e9i 0.500607 0.241080i
\(611\) −5.90240e9 1.82065e9i −1.04685 0.322910i
\(612\) 1.32723e7 + 1.77106e8i 0.00234053 + 0.0312322i
\(613\) −1.03801e9 4.54782e9i −0.182008 0.797428i −0.980673 0.195653i \(-0.937317\pi\)
0.798665 0.601775i \(-0.205540\pi\)
\(614\) −3.69874e9 + 9.42423e9i −0.644858 + 1.64307i
\(615\) 9.42092e7 1.25713e9i 0.0163317 0.217931i
\(616\) −2.58272e9 + 3.89283e8i −0.445190 + 0.0671016i
\(617\) 5.20769e9 + 4.83203e9i 0.892580 + 0.828193i 0.985881 0.167445i \(-0.0535516\pi\)
−0.0933014 + 0.995638i \(0.529742\pi\)
\(618\) −7.77868e9 3.74602e9i −1.32570 0.638425i
\(619\) 9.11491e9 6.21444e9i 1.54467 1.05314i 0.572195 0.820118i \(-0.306092\pi\)
0.972472 0.233019i \(-0.0748603\pi\)
\(620\) −2.38235e7 6.07012e7i −0.00401452 0.0102288i
\(621\) 3.04399e9 9.38946e8i 0.510061 0.157333i
\(622\) −6.76249e9 + 6.27467e9i −1.12678 + 1.04550i
\(623\) 2.63833e9 3.30836e9i 0.437140 0.548156i
\(624\) 5.20537e9 6.52733e9i 0.857641 1.07545i
\(625\) −1.06746e9 + 9.90456e8i −0.174892 + 0.162276i
\(626\) −7.22568e9 + 2.22883e9i −1.17725 + 0.363133i
\(627\) 9.12824e8 + 2.32584e9i 0.147894 + 0.376828i
\(628\) 2.07062e8 1.41172e8i 0.0333612 0.0227453i
\(629\) 1.49960e9 + 7.22171e8i 0.240270 + 0.115708i
\(630\) −3.83621e8 3.55948e8i −0.0611238 0.0567146i
\(631\) 7.33542e9 1.10564e9i 1.16231 0.175190i 0.460571 0.887623i \(-0.347645\pi\)
0.701740 + 0.712433i \(0.252407\pi\)
\(632\) −7.13464e6 + 9.52051e7i −0.00112425 + 0.0150020i
\(633\) −1.97878e9 + 5.04186e9i −0.310088 + 0.790092i
\(634\) −1.24546e9 5.45673e9i −0.194097 0.850394i
\(635\) −2.36303e8 3.15324e9i −0.0366236 0.488707i
\(636\) −2.63391e8 8.12453e7i −0.0405976 0.0125227i
\(637\) 6.00016e9 2.88953e9i 0.919761 0.442933i
\(638\) −6.23412e8 + 1.07978e9i −0.0950391 + 0.164613i
\(639\) −4.93771e8 8.55236e8i −0.0748639 0.129668i
\(640\) 2.57014e9 + 1.75229e9i 0.387550 + 0.264227i
\(641\) 2.65772e9 1.16442e10i 0.398571 1.74625i −0.234459 0.972126i \(-0.575332\pi\)
0.633030 0.774127i \(-0.281811\pi\)
\(642\) −2.00529e9 3.02249e8i −0.299092 0.0450809i
\(643\) −3.35663e9 4.20908e9i −0.497926 0.624380i 0.467834 0.883816i \(-0.345035\pi\)
−0.965760 + 0.259437i \(0.916463\pi\)
\(644\) −1.46485e8 −0.0216118
\(645\) −3.19274e9 + 2.76130e9i −0.468494 + 0.405186i
\(646\) −2.87866e9 −0.420123
\(647\) −1.17121e9 1.46865e9i −0.170008 0.213184i 0.689527 0.724260i \(-0.257818\pi\)
−0.859535 + 0.511076i \(0.829247\pi\)
\(648\) 8.70803e9 + 1.31252e9i 1.25721 + 0.189494i
\(649\) 2.13566e9 9.35692e9i 0.306672 1.34362i
\(650\) 5.09420e9 + 3.47317e9i 0.727578 + 0.496054i
\(651\) −5.56466e8 9.63828e8i −0.0790506 0.136920i
\(652\) −1.44333e8 + 2.49992e8i −0.0203938 + 0.0353231i
\(653\) −4.42588e9 + 2.13139e9i −0.622019 + 0.299549i −0.718223 0.695813i \(-0.755044\pi\)
0.0962039 + 0.995362i \(0.469330\pi\)
\(654\) −8.03580e9 2.47872e9i −1.12333 0.346501i
\(655\) −1.73402e8 2.31389e9i −0.0241107 0.321734i
\(656\) 5.26611e8 + 2.30723e9i 0.0728327 + 0.319101i
\(657\) 1.48706e8 3.78897e8i 0.0204574 0.0521246i
\(658\) 2.00883e8 2.68060e9i 0.0274886 0.366810i
\(659\) 5.04091e9 7.59795e8i 0.686136 0.103418i 0.203283 0.979120i \(-0.434839\pi\)
0.482853 + 0.875702i \(0.339601\pi\)
\(660\) 2.25234e8 + 2.08987e8i 0.0304952 + 0.0282954i
\(661\) −6.57018e9 3.16403e9i −0.884855 0.426124i −0.0644598 0.997920i \(-0.520532\pi\)
−0.820396 + 0.571796i \(0.806247\pi\)
\(662\) −3.92763e9 + 2.67782e9i −0.526172 + 0.358738i
\(663\) 5.07199e9 + 1.29232e10i 0.675898 + 1.72216i
\(664\) 6.80260e8 2.09833e8i 0.0901752 0.0278154i
\(665\) −4.51785e8 + 4.19195e8i −0.0595739 + 0.0552765i
\(666\) −3.63526e8 + 4.55847e8i −0.0476843 + 0.0597942i
\(667\) −6.87240e8 + 8.61771e8i −0.0896743 + 0.112448i
\(668\) −4.24064e8 + 3.93473e8i −0.0550444 + 0.0510738i
\(669\) −1.06503e10 + 3.28519e9i −1.37522 + 0.424199i
\(670\) 2.76406e9 + 7.04270e9i 0.355046 + 0.904644i
\(671\) −6.97309e9 + 4.75417e9i −0.891038 + 0.607499i
\(672\) −4.94245e8 2.38016e8i −0.0628275 0.0302561i
\(673\) 7.24342e8 + 6.72091e8i 0.0915990 + 0.0849915i 0.724643 0.689124i \(-0.242004\pi\)
−0.633044 + 0.774115i \(0.718195\pi\)
\(674\) −1.04995e10 + 1.58255e9i −1.32087 + 0.199089i
\(675\) −3.16829e8 + 4.22779e9i −0.0396517 + 0.529115i
\(676\) −1.20091e8 + 3.05986e8i −0.0149519 + 0.0380968i
\(677\) −1.22384e8 5.36201e8i −0.0151588 0.0664152i 0.966783 0.255599i \(-0.0822728\pi\)
−0.981942 + 0.189184i \(0.939416\pi\)
\(678\) 8.09704e8 + 1.08048e10i 0.0997752 + 1.33141i
\(679\) 1.38963e9 + 4.28645e8i 0.170355 + 0.0525476i
\(680\) −5.02745e9 + 2.42109e9i −0.613150 + 0.295278i
\(681\) 9.65847e8 1.67290e9i 0.117191 0.202980i
\(682\) −1.21581e9 2.10584e9i −0.146764 0.254203i
\(683\) −1.14372e10 7.79774e9i −1.37356 0.936476i −0.999961 0.00888477i \(-0.997172\pi\)
−0.373597 0.927591i \(-0.621876\pi\)
\(684\) −1.63038e7 + 7.14316e7i −0.00194802 + 0.00853482i
\(685\) 9.96856e8 + 1.50252e8i 0.118499 + 0.0178609i
\(686\) 4.04899e9 + 5.07728e9i 0.478865 + 0.600477i
\(687\) −1.15061e10 −1.35388
\(688\) 4.19937e9 6.71998e9i 0.491615 0.786699i
\(689\) −5.82574e9 −0.678553
\(690\) −2.33085e9 2.92280e9i −0.270111 0.338709i
\(691\) 3.77480e9 + 5.68960e8i 0.435232 + 0.0656007i 0.363004 0.931787i \(-0.381751\pi\)
0.0722278 + 0.997388i \(0.476989\pi\)
\(692\) −1.23525e8 + 5.41197e8i −0.0141704 + 0.0620846i
\(693\) 1.17152e9 + 7.98732e8i 0.133717 + 0.0911664i
\(694\) 5.61896e8 + 9.73233e8i 0.0638114 + 0.110525i
\(695\) −1.63490e9 + 2.83173e9i −0.184733 + 0.319967i
\(696\) −1.92043e9 + 9.24829e8i −0.215906 + 0.103975i
\(697\) −3.76046e9 1.15995e9i −0.420655 0.129755i
\(698\) 4.46487e8 + 5.95796e9i 0.0496953 + 0.663138i
\(699\) −8.17292e8 3.58079e9i −0.0905122 0.396560i
\(700\) 7.12264e7 1.81482e8i 0.00784870 0.0199982i
\(701\) 2.35935e8 3.14834e9i 0.0258690 0.345198i −0.969219 0.246201i \(-0.920818\pi\)
0.995088 0.0989968i \(-0.0315634\pi\)
\(702\) 8.16747e9 1.23105e9i 0.891061 0.134306i
\(703\) 5.03350e8 + 4.67040e8i 0.0546420 + 0.0507003i
\(704\) −8.75178e9 4.21464e9i −0.945349 0.455256i
\(705\) −4.11847e9 + 2.80792e9i −0.442663 + 0.301803i
\(706\) 5.93763e9 + 1.51288e10i 0.635033 + 1.61804i
\(707\) −2.55367e9 + 7.87702e8i −0.271767 + 0.0838290i
\(708\) 7.63029e8 7.07987e8i 0.0808024 0.0749737i
\(709\) 8.36588e9 1.04905e10i 0.881556 1.10544i −0.112180 0.993688i \(-0.535783\pi\)
0.993736 0.111749i \(-0.0356452\pi\)
\(710\) 1.22726e9 1.53894e9i 0.128686 0.161368i
\(711\) 3.79928e7 3.52522e7i 0.00396422 0.00367826i
\(712\) 1.51033e10 4.65876e9i 1.56817 0.483716i
\(713\) −7.85359e8 2.00106e9i −0.0811437 0.206751i
\(714\) −4.99194e9 + 3.40345e9i −0.513246 + 0.349925i
\(715\) 5.85092e9 + 2.81765e9i 0.598622 + 0.288281i
\(716\) −6.47489e8 6.00782e8i −0.0659229 0.0611676i
\(717\) −1.41205e10 + 2.12832e9i −1.43065 + 0.215635i
\(718\) 7.38325e8 9.85227e9i 0.0744410 0.993346i
\(719\) 6.36340e8 1.62137e9i 0.0638466 0.162679i −0.895390 0.445283i \(-0.853103\pi\)
0.959237 + 0.282604i \(0.0911983\pi\)
\(720\) −4.05361e8 1.77600e9i −0.0404742 0.177329i
\(721\) 4.31200e8 + 5.75396e9i 0.0428455 + 0.571733i
\(722\) 8.19587e9 + 2.52809e9i 0.810429 + 0.249984i
\(723\) 9.37864e9 4.51651e9i 0.922902 0.444446i
\(724\) 2.89646e8 5.01681e8i 0.0283650 0.0491295i
\(725\) −7.33498e8 1.27046e9i −0.0714852 0.123816i
\(726\) −1.62934e8 1.11087e8i −0.0158028 0.0107742i
\(727\) −2.81133e9 + 1.23172e10i −0.271357 + 1.18889i 0.637055 + 0.770818i \(0.280152\pi\)
−0.908412 + 0.418075i \(0.862705\pi\)
\(728\) −5.92022e9 8.92330e8i −0.568693 0.0857167i
\(729\) 2.64554e9 + 3.31741e9i 0.252911 + 0.317141i
\(730\) 8.11302e8 0.0771885
\(731\) 6.18585e9 + 1.16347e10i 0.585718 + 1.10165i
\(732\) −9.15304e8 −0.0862535
\(733\) 2.75388e9 + 3.45325e9i 0.258274 + 0.323865i 0.894015 0.448037i \(-0.147877\pi\)
−0.635741 + 0.771902i \(0.719305\pi\)
\(734\) 1.96755e10 + 2.96560e9i 1.83649 + 0.276807i
\(735\) 1.19588e9 5.23951e9i 0.111092 0.486727i
\(736\) −8.75465e8 5.96882e8i −0.0809406 0.0551844i
\(737\) −1.02494e10 1.77524e10i −0.943106 1.63351i
\(738\) 6.89266e8 1.19384e9i 0.0631232 0.109333i
\(739\) 9.10210e9 4.38334e9i 0.829633 0.399530i 0.0296557 0.999560i \(-0.490559\pi\)
0.799978 + 0.600030i \(0.204845\pi\)
\(740\) 8.06883e7 + 2.48890e7i 0.00731980 + 0.00225786i
\(741\) 4.28001e8 + 5.71127e9i 0.0386439 + 0.515667i
\(742\) −5.64164e8 2.47176e9i −0.0506981 0.222123i
\(743\) −5.04824e9 + 1.28627e10i −0.451522 + 1.15046i 0.506111 + 0.862468i \(0.331083\pi\)
−0.957633 + 0.287991i \(0.907013\pi\)
\(744\) 3.10652e8 4.14537e9i 0.0276547 0.369027i
\(745\) 9.98939e9 1.50566e9i 0.885099 0.133407i
\(746\) −1.13840e10 1.05628e10i −1.00395 0.931525i
\(747\) −3.48186e8 1.67678e8i −0.0305625 0.0147181i
\(748\) 7.92473e8 5.40299e8i 0.0692355 0.0472040i
\(749\) 4.95154e8 + 1.26163e9i 0.0430580 + 0.109710i
\(750\) 1.13571e10 3.50322e9i 0.983003 0.303216i
\(751\) 5.05538e9 4.69071e9i 0.435526 0.404109i −0.431705 0.902015i \(-0.642088\pi\)