Properties

Label 43.8.g.a.24.6
Level 43
Weight 8
Character 43.24
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 24.6
Character \(\chi\) \(=\) 43.24
Dual form 43.8.g.a.9.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.47390 + 9.37197i) q^{2} +(-35.4123 + 5.33754i) q^{3} +(-3.49202 - 15.2995i) q^{4} +(-37.7951 + 25.7682i) q^{5} +(214.645 - 371.775i) q^{6} +(-223.831 - 387.687i) q^{7} +(-1212.93 - 584.115i) q^{8} +(-864.297 + 266.600i) q^{9} +O(q^{10})\) \(q+(-7.47390 + 9.37197i) q^{2} +(-35.4123 + 5.33754i) q^{3} +(-3.49202 - 15.2995i) q^{4} +(-37.7951 + 25.7682i) q^{5} +(214.645 - 371.775i) q^{6} +(-223.831 - 387.687i) q^{7} +(-1212.93 - 584.115i) q^{8} +(-864.297 + 266.600i) q^{9} +(40.9773 - 546.804i) q^{10} +(1767.34 - 7743.21i) q^{11} +(205.322 + 523.152i) q^{12} +(748.065 + 9982.24i) q^{13} +(5306.29 + 799.794i) q^{14} +(1200.87 - 1114.25i) q^{15} +(16349.4 - 7873.44i) q^{16} +(14168.6 + 9659.96i) q^{17} +(3961.10 - 10092.7i) q^{18} +(-15385.5 - 4745.80i) q^{19} +(526.223 + 488.263i) q^{20} +(9995.68 + 12534.2i) q^{21} +(59360.3 + 74435.4i) q^{22} +(43177.8 + 40063.1i) q^{23} +(46070.2 + 14210.8i) q^{24} +(-27777.8 + 70776.7i) q^{25} +(-99144.2 - 67595.4i) q^{26} +(99748.9 - 48036.6i) q^{27} +(-5149.81 + 4778.32i) q^{28} +(169913. + 25610.3i) q^{29} +(1467.49 + 19582.3i) q^{30} +(-90284.8 - 230042. i) q^{31} +(-10059.1 + 44071.9i) q^{32} +(-21255.7 + 283638. i) q^{33} +(-196427. + 60589.8i) q^{34} +(18449.7 + 8884.93i) q^{35} +(7096.99 + 12292.4i) q^{36} +(264453. - 458047. i) q^{37} +(159467. - 108723. i) q^{38} +(-79771.4 - 349501. i) q^{39} +(60894.2 - 9178.33i) q^{40} +(-437128. + 548141. i) q^{41} -192177. q^{42} +(-123428. - 506541. i) q^{43} -124639. q^{44} +(25796.3 - 32347.6i) q^{45} +(-698176. + 105233. i) q^{46} +(98544.1 + 431750. i) q^{47} +(-536944. + 366082. i) q^{48} +(311570. - 539656. i) q^{49} +(-455709. - 789310. i) q^{50} +(-553301. - 266456. i) q^{51} +(150111. - 46303.2i) q^{52} +(99612.1 - 1.32923e6i) q^{53} +(-295316. + 1.29386e6i) q^{54} +(132732. + 338197. i) q^{55} +(45037.2 + 600980. i) q^{56} +(570166. + 85938.7i) q^{57} +(-1.50993e6 + 1.40101e6i) q^{58} +(-16604.4 + 7996.26i) q^{59} +(-21240.9 - 14481.8i) q^{60} +(-138551. + 353022. i) q^{61} +(2.83072e6 + 873163. i) q^{62} +(296814. + 275403. i) q^{63} +(1.11035e6 + 1.39233e6i) q^{64} +(-285498. - 358003. i) q^{65} +(-2.49939e6 - 2.31909e6i) q^{66} +(3.53244e6 + 1.08961e6i) q^{67} +(98315.9 - 250505. i) q^{68} +(-1.74286e6 - 1.18826e6i) q^{69} +(-221161. + 106505. i) q^{70} +(1.55360e6 - 1.44153e6i) q^{71} +(1.20405e6 + 181482. i) q^{72} +(-417703. - 5.57386e6i) q^{73} +(2.31630e6 + 5.90184e6i) q^{74} +(605902. - 2.65463e6i) q^{75} +(-18882.0 + 251963. i) q^{76} +(-3.39753e6 + 1.04800e6i) q^{77} +(3.87172e6 + 1.86452e6i) q^{78} +(-383200. - 663722. i) q^{79} +(-415041. + 718872. i) q^{80} +(-1.64156e6 + 1.11920e6i) q^{81} +(-1.87011e6 - 8.19350e6i) q^{82} +(5.25249e6 - 791686. i) q^{83} +(156862. - 196699. i) q^{84} -784422. q^{85} +(5.66978e6 + 2.62908e6i) q^{86} -6.15371e6 q^{87} +(-6.66658e6 + 8.35962e6i) q^{88} +(6.58533e6 - 992579. i) q^{89} +(110361. + 483525. i) q^{90} +(3.70255e6 - 2.52435e6i) q^{91} +(462169. - 800500. i) q^{92} +(4.42505e6 + 7.66441e6i) q^{93} +(-4.78286e6 - 2.30330e6i) q^{94} +(703787. - 217089. i) q^{95} +(120981. - 1.61438e6i) q^{96} +(763208. - 3.34383e6i) q^{97} +(2.72899e6 + 6.95336e6i) q^{98} +(536838. + 7.16361e6i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.47390 + 9.37197i −0.660605 + 0.828373i −0.993409 0.114623i \(-0.963434\pi\)
0.332804 + 0.942996i \(0.392005\pi\)
\(3\) −35.4123 + 5.33754i −0.757233 + 0.114135i −0.516301 0.856407i \(-0.672691\pi\)
−0.240932 + 0.970542i \(0.577453\pi\)
\(4\) −3.49202 15.2995i −0.0272814 0.119528i
\(5\) −37.7951 + 25.7682i −0.135220 + 0.0921913i −0.629041 0.777372i \(-0.716552\pi\)
0.493821 + 0.869564i \(0.335600\pi\)
\(6\) 214.645 371.775i 0.405686 0.702669i
\(7\) −223.831 387.687i −0.246648 0.427207i 0.715946 0.698156i \(-0.245996\pi\)
−0.962594 + 0.270949i \(0.912663\pi\)
\(8\) −1212.93 584.115i −0.837567 0.403351i
\(9\) −864.297 + 266.600i −0.395197 + 0.121902i
\(10\) 40.9773 546.804i 0.0129581 0.172914i
\(11\) 1767.34 7743.21i 0.400355 1.75407i −0.225609 0.974218i \(-0.572437\pi\)
0.625964 0.779852i \(-0.284706\pi\)
\(12\) 205.322 + 523.152i 0.0343006 + 0.0873964i
\(13\) 748.065 + 9982.24i 0.0944361 + 1.26016i 0.820143 + 0.572158i \(0.193894\pi\)
−0.725707 + 0.688004i \(0.758487\pi\)
\(14\) 5306.29 + 799.794i 0.516824 + 0.0778987i
\(15\) 1200.87 1114.25i 0.0918707 0.0852435i
\(16\) 16349.4 7873.44i 0.997886 0.480557i
\(17\) 14168.6 + 9659.96i 0.699446 + 0.476874i 0.860093 0.510138i \(-0.170406\pi\)
−0.160647 + 0.987012i \(0.551358\pi\)
\(18\) 3961.10 10092.7i 0.160089 0.407900i
\(19\) −15385.5 4745.80i −0.514605 0.158735i 0.0265664 0.999647i \(-0.491543\pi\)
−0.541171 + 0.840913i \(0.682019\pi\)
\(20\) 526.223 + 488.263i 0.0147084 + 0.0136474i
\(21\) 9995.68 + 12534.2i 0.235529 + 0.295344i
\(22\) 59360.3 + 74435.4i 1.18855 + 1.49039i
\(23\) 43177.8 + 40063.1i 0.739968 + 0.686590i 0.957167 0.289538i \(-0.0935016\pi\)
−0.217199 + 0.976127i \(0.569692\pi\)
\(24\) 46070.2 + 14210.8i 0.680270 + 0.209835i
\(25\) −27777.8 + 70776.7i −0.355556 + 0.905942i
\(26\) −99144.2 67595.4i −1.10627 0.754241i
\(27\) 99748.9 48036.6i 0.975293 0.469676i
\(28\) −5149.81 + 4778.32i −0.0443341 + 0.0411360i
\(29\) 169913. + 25610.3i 1.29370 + 0.194994i 0.759580 0.650414i \(-0.225405\pi\)
0.534121 + 0.845408i \(0.320643\pi\)
\(30\) 1467.49 + 19582.3i 0.00992317 + 0.132416i
\(31\) −90284.8 230042.i −0.544313 1.38689i −0.893174 0.449712i \(-0.851527\pi\)
0.348861 0.937175i \(-0.386569\pi\)
\(32\) −10059.1 + 44071.9i −0.0542670 + 0.237759i
\(33\) −21255.7 + 283638.i −0.102962 + 1.37393i
\(34\) −196427. + 60589.8i −0.857088 + 0.264377i
\(35\) 18449.7 + 8884.93i 0.0727365 + 0.0350280i
\(36\) 7096.99 + 12292.4i 0.0253522 + 0.0439113i
\(37\) 264453. 458047.i 0.858308 1.48663i −0.0152345 0.999884i \(-0.504849\pi\)
0.873542 0.486748i \(-0.161817\pi\)
\(38\) 159467. 108723.i 0.471442 0.321424i
\(39\) −79771.4 349501.i −0.215338 0.943458i
\(40\) 60894.2 9178.33i 0.150441 0.0226753i
\(41\) −437128. + 548141.i −0.990524 + 1.24208i −0.0203180 + 0.999794i \(0.506468\pi\)
−0.970205 + 0.242284i \(0.922104\pi\)
\(42\) −192177. −0.400247
\(43\) −123428. 506541.i −0.236741 0.971573i
\(44\) −124639. −0.220582
\(45\) 25796.3 32347.6i 0.0422002 0.0529173i
\(46\) −698176. + 105233.i −1.05758 + 0.159404i
\(47\) 98544.1 + 431750.i 0.138448 + 0.606582i 0.995776 + 0.0918117i \(0.0292658\pi\)
−0.857328 + 0.514771i \(0.827877\pi\)
\(48\) −536944. + 366082.i −0.700785 + 0.477787i
\(49\) 311570. 539656.i 0.378329 0.655286i
\(50\) −455709. 789310.i −0.515575 0.893003i
\(51\) −553301. 266456.i −0.584072 0.281274i
\(52\) 150111. 46303.2i 0.148048 0.0456667i
\(53\) 99612.1 1.32923e6i 0.0919066 1.22641i −0.740428 0.672135i \(-0.765377\pi\)
0.832335 0.554273i \(-0.187004\pi\)
\(54\) −295316. + 1.29386e6i −0.255217 + 1.11818i
\(55\) 132732. + 338197.i 0.107574 + 0.274094i
\(56\) 45037.2 + 600980.i 0.0342699 + 0.457300i
\(57\) 570166. + 85938.7i 0.407793 + 0.0614649i
\(58\) −1.50993e6 + 1.40101e6i −1.01615 + 0.942853i
\(59\) −16604.4 + 7996.26i −0.0105255 + 0.00506880i −0.439139 0.898419i \(-0.644716\pi\)
0.428614 + 0.903488i \(0.359002\pi\)
\(60\) −21240.9 14481.8i −0.0126953 0.00865551i
\(61\) −138551. + 353022.i −0.0781547 + 0.199135i −0.964611 0.263678i \(-0.915064\pi\)
0.886456 + 0.462813i \(0.153160\pi\)
\(62\) 2.83072e6 + 873163.i 1.50844 + 0.465291i
\(63\) 296814. + 275403.i 0.149552 + 0.138764i
\(64\) 1.11035e6 + 1.39233e6i 0.529455 + 0.663915i
\(65\) −285498. 358003.i −0.128946 0.161693i
\(66\) −2.49939e6 2.31909e6i −1.07011 0.992919i
\(67\) 3.53244e6 + 1.08961e6i 1.43487 + 0.442599i 0.912133 0.409894i \(-0.134434\pi\)
0.522738 + 0.852493i \(0.324910\pi\)
\(68\) 98315.9 250505.i 0.0379178 0.0966129i
\(69\) −1.74286e6 1.18826e6i −0.638692 0.435453i
\(70\) −221161. + 106505.i −0.0770664 + 0.0371132i
\(71\) 1.55360e6 1.44153e6i 0.515153 0.477992i −0.379225 0.925304i \(-0.623809\pi\)
0.894378 + 0.447313i \(0.147619\pi\)
\(72\) 1.20405e6 + 181482.i 0.380174 + 0.0573020i
\(73\) −417703. 5.57386e6i −0.125672 1.67697i −0.602609 0.798036i \(-0.705872\pi\)
0.476937 0.878937i \(-0.341747\pi\)
\(74\) 2.31630e6 + 5.90184e6i 0.664484 + 1.69308i
\(75\) 605902. 2.65463e6i 0.165839 0.726590i
\(76\) −18882.0 + 251963.i −0.00493402 + 0.0658399i
\(77\) −3.39753e6 + 1.04800e6i −0.848098 + 0.261604i
\(78\) 3.87172e6 + 1.86452e6i 0.923789 + 0.444873i
\(79\) −383200. 663722.i −0.0874442 0.151458i 0.818986 0.573814i \(-0.194537\pi\)
−0.906430 + 0.422356i \(0.861203\pi\)
\(80\) −415041. + 718872.i −0.0906308 + 0.156977i
\(81\) −1.64156e6 + 1.11920e6i −0.343209 + 0.233996i
\(82\) −1.87011e6 8.19350e6i −0.374558 1.64105i
\(83\) 5.25249e6 791686.i 1.00831 0.151978i 0.375937 0.926645i \(-0.377321\pi\)
0.632369 + 0.774668i \(0.282083\pi\)
\(84\) 156862. 196699.i 0.0288762 0.0362096i
\(85\) −784422. −0.138543
\(86\) 5.66978e6 + 2.62908e6i 0.961217 + 0.445717i
\(87\) −6.15371e6 −1.00189
\(88\) −6.66658e6 + 8.35962e6i −1.04283 + 1.30767i
\(89\) 6.58533e6 992579.i 0.990177 0.149245i 0.366073 0.930586i \(-0.380702\pi\)
0.624104 + 0.781341i \(0.285464\pi\)
\(90\) 110361. + 483525.i 0.0159576 + 0.0699150i
\(91\) 3.70255e6 2.52435e6i 0.515058 0.351160i
\(92\) 462169. 800500.i 0.0618790 0.107178i
\(93\) 4.42505e6 + 7.66441e6i 0.570463 + 0.988071i
\(94\) −4.78286e6 2.30330e6i −0.593936 0.286025i
\(95\) 703787. 217089.i 0.0842187 0.0259780i
\(96\) 120981. 1.61438e6i 0.0139562 0.186233i
\(97\) 763208. 3.34383e6i 0.0849067 0.372001i −0.914567 0.404434i \(-0.867469\pi\)
0.999474 + 0.0324334i \(0.0103257\pi\)
\(98\) 2.72899e6 + 6.95336e6i 0.292895 + 0.746283i
\(99\) 536838. + 7.16361e6i 0.0556058 + 0.742008i
\(100\) 1.17985e6 + 177834.i 0.117985 + 0.0177834i
\(101\) −1.12886e7 + 1.04742e7i −1.09022 + 1.01157i −0.0903409 + 0.995911i \(0.528796\pi\)
−0.999877 + 0.0156638i \(0.995014\pi\)
\(102\) 6.63254e6 3.19406e6i 0.618841 0.298018i
\(103\) −1.41216e7 9.62797e6i −1.27337 0.868169i −0.277659 0.960680i \(-0.589559\pi\)
−0.995712 + 0.0925102i \(0.970511\pi\)
\(104\) 4.92342e6 1.25447e7i 0.429191 1.09356i
\(105\) −700772. 216159.i −0.0590764 0.0182227i
\(106\) 1.17130e7 + 1.08681e7i 0.955210 + 0.886305i
\(107\) −341172. 427816.i −0.0269234 0.0337609i 0.768188 0.640225i \(-0.221159\pi\)
−0.795111 + 0.606464i \(0.792587\pi\)
\(108\) −1.08326e6 1.35837e6i −0.0827466 0.103761i
\(109\) −7.09127e6 6.57974e6i −0.524483 0.486649i 0.372918 0.927864i \(-0.378357\pi\)
−0.897401 + 0.441215i \(0.854548\pi\)
\(110\) −4.16160e6 1.28368e6i −0.298116 0.0919567i
\(111\) −6.92005e6 + 1.76320e7i −0.480263 + 1.22369i
\(112\) −6.71194e6 4.57612e6i −0.451424 0.307776i
\(113\) 3.12540e6 1.50511e6i 0.203766 0.0981285i −0.329218 0.944254i \(-0.606785\pi\)
0.532984 + 0.846126i \(0.321071\pi\)
\(114\) −5.06678e6 + 4.70128e6i −0.320306 + 0.297201i
\(115\) −2.66426e6 401573.i −0.163356 0.0246219i
\(116\) −201514. 2.68902e6i −0.0119868 0.159953i
\(117\) −3.30782e6 8.42818e6i −0.190937 0.486501i
\(118\) 49158.9 215379.i 0.00275433 0.0120675i
\(119\) 573676. 7.65517e6i 0.0312070 0.416429i
\(120\) −2.10742e6 + 650051.i −0.111331 + 0.0343410i
\(121\) −3.92765e7 1.89146e7i −2.01551 0.970617i
\(122\) −2.27300e6 3.93695e6i −0.113329 0.196291i
\(123\) 1.25540e7 2.17441e7i 0.608293 1.05359i
\(124\) −3.20425e6 + 2.18462e6i −0.150921 + 0.102897i
\(125\) −1.56915e6 6.87491e6i −0.0718588 0.314834i
\(126\) −4.79943e6 + 723398.i −0.213744 + 0.0322167i
\(127\) 7.14175e6 8.95547e6i 0.309380 0.387950i −0.602697 0.797970i \(-0.705907\pi\)
0.912076 + 0.410021i \(0.134478\pi\)
\(128\) −2.71338e7 −1.14360
\(129\) 7.07454e6 + 1.72790e7i 0.290158 + 0.708687i
\(130\) 5.48898e6 0.219124
\(131\) 1.72964e7 2.16890e7i 0.672211 0.842926i −0.322400 0.946604i \(-0.604490\pi\)
0.994611 + 0.103678i \(0.0330610\pi\)
\(132\) 4.41375e6 665266.i 0.167032 0.0251760i
\(133\) 1.60387e6 + 7.02702e6i 0.0591138 + 0.258994i
\(134\) −3.66129e7 + 2.49623e7i −1.31452 + 0.896225i
\(135\) −2.53220e6 + 4.38590e6i −0.0885788 + 0.153423i
\(136\) −1.15429e7 1.99929e7i −0.393485 0.681537i
\(137\) 4.66351e7 + 2.24583e7i 1.54950 + 0.746200i 0.996226 0.0868002i \(-0.0276642\pi\)
0.553274 + 0.833000i \(0.313378\pi\)
\(138\) 2.41623e7 7.45310e6i 0.782640 0.241413i
\(139\) 188259. 2.51214e6i 0.00594571 0.0793399i −0.993442 0.114341i \(-0.963524\pi\)
0.999387 + 0.0350010i \(0.0111434\pi\)
\(140\) 71508.4 313299.i 0.00220246 0.00964962i
\(141\) −5.79416e6 1.47633e7i −0.174070 0.443523i
\(142\) 1.89854e6 + 2.53342e7i 0.0556429 + 0.742502i
\(143\) 7.86167e7 + 1.18496e7i 2.24822 + 0.338865i
\(144\) −1.20316e7 + 1.11637e7i −0.335781 + 0.311559i
\(145\) −7.08181e6 + 3.41042e6i −0.192911 + 0.0929009i
\(146\) 5.53600e7 + 3.77438e7i 1.47218 + 1.00371i
\(147\) −8.15299e6 + 2.07735e7i −0.211693 + 0.539384i
\(148\) −7.93137e6 2.44650e6i −0.201109 0.0620340i
\(149\) −1.44893e7 1.34441e7i −0.358836 0.332951i 0.480067 0.877232i \(-0.340612\pi\)
−0.838903 + 0.544281i \(0.816803\pi\)
\(150\) 2.03507e7 + 2.55189e7i 0.492333 + 0.617366i
\(151\) 1.67119e7 + 2.09560e7i 0.395008 + 0.495325i 0.939073 0.343719i \(-0.111687\pi\)
−0.544064 + 0.839043i \(0.683115\pi\)
\(152\) 1.58894e7 + 1.47432e7i 0.366990 + 0.340517i
\(153\) −1.48212e7 4.57173e6i −0.334551 0.103195i
\(154\) 1.55710e7 3.96742e7i 0.343553 0.875358i
\(155\) 9.34009e6 + 6.36797e6i 0.201461 + 0.137354i
\(156\) −5.06864e6 + 2.44093e6i −0.106894 + 0.0514777i
\(157\) 1.63538e7 1.51741e7i 0.337265 0.312936i −0.493299 0.869860i \(-0.664209\pi\)
0.830563 + 0.556924i \(0.188019\pi\)
\(158\) 9.08438e6 + 1.36925e6i 0.183230 + 0.0276174i
\(159\) 3.56734e6 + 4.76028e7i 0.0703808 + 0.939167i
\(160\) −755471. 1.92491e6i −0.0145813 0.0371527i
\(161\) 5.86742e6 2.57069e7i 0.110804 0.485466i
\(162\) 1.77977e6 2.37494e7i 0.0328898 0.438884i
\(163\) −2.57897e7 + 7.95508e6i −0.466434 + 0.143876i −0.519059 0.854739i \(-0.673717\pi\)
0.0526249 + 0.998614i \(0.483241\pi\)
\(164\) 9.91275e6 + 4.77373e6i 0.175485 + 0.0845092i
\(165\) −6.50550e6 1.12678e7i −0.112742 0.195275i
\(166\) −3.18369e7 + 5.51432e7i −0.540198 + 0.935650i
\(167\) −2.12195e7 + 1.44672e7i −0.352556 + 0.240369i −0.726628 0.687031i \(-0.758914\pi\)
0.374072 + 0.927400i \(0.377961\pi\)
\(168\) −4.80262e6 2.10417e7i −0.0781441 0.342372i
\(169\) −3.70378e7 + 5.58256e6i −0.590259 + 0.0889672i
\(170\) 5.86269e6 7.35158e6i 0.0915220 0.114765i
\(171\) 1.45629e7 0.222721
\(172\) −7.31883e6 + 3.65723e6i −0.109671 + 0.0548029i
\(173\) 6.04291e7 0.887329 0.443664 0.896193i \(-0.353678\pi\)
0.443664 + 0.896193i \(0.353678\pi\)
\(174\) 4.59922e7 5.76724e7i 0.661853 0.829937i
\(175\) 3.36568e7 5.07294e6i 0.474722 0.0715528i
\(176\) −3.20709e7 1.40512e8i −0.443421 1.94276i
\(177\) 545320. 371793.i 0.00739171 0.00503958i
\(178\) −3.99157e7 + 6.91360e7i −0.530486 + 0.918828i
\(179\) −1.53254e7 2.65443e7i −0.199722 0.345929i 0.748716 0.662891i \(-0.230671\pi\)
−0.948438 + 0.316962i \(0.897337\pi\)
\(180\) −584984. 281713.i −0.00747636 0.00360042i
\(181\) −1.21527e8 + 3.74862e7i −1.52335 + 0.469891i −0.939666 0.342092i \(-0.888864\pi\)
−0.583681 + 0.811983i \(0.698388\pi\)
\(182\) −4.01429e6 + 5.35669e7i −0.0493581 + 0.658638i
\(183\) 3.02214e6 1.32408e7i 0.0364532 0.159712i
\(184\) −2.89700e7 7.38144e7i −0.342836 0.873531i
\(185\) 1.80802e6 + 2.41264e7i 0.0209944 + 0.280151i
\(186\) −1.04903e8 1.58116e7i −1.19534 0.180169i
\(187\) 9.98398e7 9.26378e7i 1.11650 1.03596i
\(188\) 6.26145e6 3.01536e6i 0.0687262 0.0330968i
\(189\) −4.09501e7 2.79193e7i −0.441203 0.300807i
\(190\) −3.22547e6 + 8.21837e6i −0.0341158 + 0.0869257i
\(191\) −2.22771e7 6.87158e6i −0.231335 0.0713575i 0.176920 0.984225i \(-0.443387\pi\)
−0.408256 + 0.912868i \(0.633863\pi\)
\(192\) −4.67515e7 4.33791e7i −0.476696 0.442309i
\(193\) 1.02800e8 + 1.28907e8i 1.02930 + 1.29070i 0.955993 + 0.293390i \(0.0947836\pi\)
0.0733060 + 0.997309i \(0.476645\pi\)
\(194\) 2.56342e7 + 3.21442e7i 0.252065 + 0.316080i
\(195\) 1.20210e7 + 1.11539e7i 0.116097 + 0.107722i
\(196\) −9.34449e6 2.88239e6i −0.0886460 0.0273437i
\(197\) −2.45990e7 + 6.26772e7i −0.229238 + 0.584088i −0.998495 0.0548518i \(-0.982531\pi\)
0.769257 + 0.638940i \(0.220627\pi\)
\(198\) −7.11494e7 4.85088e7i −0.651393 0.444112i
\(199\) −8.44234e7 + 4.06562e7i −0.759412 + 0.365713i −0.773176 0.634192i \(-0.781333\pi\)
0.0137640 + 0.999905i \(0.495619\pi\)
\(200\) 7.50341e7 6.96215e7i 0.663214 0.615373i
\(201\) −1.30908e8 1.97312e7i −1.13705 0.171382i
\(202\) −1.37948e7 1.84079e8i −0.117757 1.57136i
\(203\) −2.81031e7 7.16055e7i −0.235786 0.600773i
\(204\) −2.14451e6 + 9.39572e6i −0.0176857 + 0.0774862i
\(205\) 2.39665e6 3.19810e7i 0.0194297 0.259271i
\(206\) 1.95777e8 6.03891e7i 1.56036 0.481308i
\(207\) −4.79992e7 2.31152e7i −0.376130 0.181135i
\(208\) 9.08250e7 + 1.57313e8i 0.699816 + 1.21212i
\(209\) −6.39391e7 + 1.10746e8i −0.484456 + 0.839102i
\(210\) 7.26333e6 4.95206e6i 0.0541213 0.0368993i
\(211\) 4.00013e7 + 1.75257e8i 0.293147 + 1.28436i 0.880119 + 0.474754i \(0.157463\pi\)
−0.586971 + 0.809608i \(0.699680\pi\)
\(212\) −2.06845e7 + 3.11768e6i −0.149097 + 0.0224727i
\(213\) −4.73224e7 + 5.93404e7i −0.335535 + 0.420748i
\(214\) 6.55936e6 0.0457523
\(215\) 1.77176e7 + 1.59643e7i 0.121583 + 0.109550i
\(216\) −1.49047e8 −1.00632
\(217\) −6.89757e7 + 8.64929e7i −0.458234 + 0.574607i
\(218\) 1.14665e8 1.72829e7i 0.749603 0.112985i
\(219\) 4.45426e7 + 1.95154e8i 0.286563 + 1.25552i
\(220\) 4.71074e6 3.21173e6i 0.0298270 0.0203357i
\(221\) −8.58290e7 + 1.48660e8i −0.534886 + 0.926450i
\(222\) −1.13527e8 1.96634e8i −0.696407 1.20621i
\(223\) −2.62947e7 1.26628e7i −0.158782 0.0764652i 0.352805 0.935697i \(-0.385228\pi\)
−0.511587 + 0.859232i \(0.670942\pi\)
\(224\) 1.93377e7 5.96488e6i 0.114957 0.0354596i
\(225\) 5.13918e6 6.85776e7i 0.0300784 0.401369i
\(226\) −9.25305e6 + 4.05403e7i −0.0533219 + 0.233618i
\(227\) −1.78116e7 4.53833e7i −0.101068 0.257517i 0.871392 0.490588i \(-0.163218\pi\)
−0.972460 + 0.233071i \(0.925123\pi\)
\(228\) −676208. 9.02337e6i −0.00377840 0.0504193i
\(229\) 1.58368e8 + 2.38702e7i 0.871453 + 0.131350i 0.569519 0.821978i \(-0.307130\pi\)
0.301934 + 0.953329i \(0.402368\pi\)
\(230\) 2.36760e7 2.19681e7i 0.128310 0.119054i
\(231\) 1.14721e8 5.52466e7i 0.612350 0.294892i
\(232\) −1.91133e8 1.30312e8i −1.00491 0.685136i
\(233\) 8.92749e7 2.27469e8i 0.462364 1.17808i −0.489620 0.871936i \(-0.662865\pi\)
0.951984 0.306148i \(-0.0990402\pi\)
\(234\) 1.03711e8 + 3.19906e7i 0.529138 + 0.163218i
\(235\) −1.48499e7 1.37787e7i −0.0746426 0.0692582i
\(236\) 180322. + 226117.i 0.000893010 + 0.00111980i
\(237\) 1.71126e7 + 2.14586e7i 0.0835022 + 0.104708i
\(238\) 6.74565e7 + 6.25904e7i 0.324343 + 0.300946i
\(239\) −5.68889e7 1.75479e7i −0.269547 0.0831443i 0.157035 0.987593i \(-0.449806\pi\)
−0.426582 + 0.904449i \(0.640283\pi\)
\(240\) 1.08605e7 2.76722e7i 0.0507121 0.129212i
\(241\) 1.54214e8 + 1.05142e8i 0.709684 + 0.483854i 0.863567 0.504235i \(-0.168225\pi\)
−0.153883 + 0.988089i \(0.549178\pi\)
\(242\) 4.70816e8 2.26733e8i 2.13549 1.02840i
\(243\) −1.25336e8 + 1.16295e8i −0.560342 + 0.519921i
\(244\) 5.88489e6 + 887005.i 0.0259343 + 0.00390896i
\(245\) 2.13016e6 + 2.84250e7i 0.00925401 + 0.123486i
\(246\) 1.09958e8 + 2.80169e8i 0.470928 + 1.19990i
\(247\) 3.58643e7 1.57132e8i 0.151434 0.663475i
\(248\) −2.48620e7 + 3.31760e8i −0.103504 + 1.38116i
\(249\) −1.81777e8 + 5.60708e7i −0.746177 + 0.230165i
\(250\) 7.61591e7 + 3.66763e7i 0.308270 + 0.148455i
\(251\) −4.65195e7 8.05741e7i −0.185685 0.321616i 0.758122 0.652113i \(-0.226117\pi\)
−0.943807 + 0.330497i \(0.892784\pi\)
\(252\) 3.17706e6 5.50283e6i 0.0125062 0.0216613i
\(253\) 3.86527e8 2.63530e8i 1.50058 1.02308i
\(254\) 3.05537e7 + 1.33865e8i 0.116989 + 0.512564i
\(255\) 2.77782e7 4.18689e6i 0.104909 0.0158125i
\(256\) 6.06707e7 7.60787e7i 0.226016 0.283415i
\(257\) −1.59975e8 −0.587875 −0.293937 0.955825i \(-0.594966\pi\)
−0.293937 + 0.955825i \(0.594966\pi\)
\(258\) −2.14813e8 6.28390e7i −0.778737 0.227804i
\(259\) −2.36772e8 −0.846800
\(260\) −4.48031e6 + 5.61814e6i −0.0158089 + 0.0198237i
\(261\) −1.53683e8 + 2.31640e7i −0.535037 + 0.0806439i
\(262\) 7.39971e7 + 3.24202e8i 0.254191 + 1.11368i
\(263\) 3.37928e8 2.30396e8i 1.14546 0.780961i 0.166707 0.986007i \(-0.446687\pi\)
0.978752 + 0.205046i \(0.0657343\pi\)
\(264\) 1.91459e8 3.31616e8i 0.640415 1.10923i
\(265\) 3.04871e7 + 5.28052e7i 0.100637 + 0.174308i
\(266\) −7.78442e7 3.74878e7i −0.253595 0.122125i
\(267\) −2.27904e8 + 7.02990e7i −0.732761 + 0.226027i
\(268\) 4.33523e6 5.78496e7i 0.0137575 0.183581i
\(269\) 8.54251e7 3.74272e8i 0.267579 1.17234i −0.645241 0.763979i \(-0.723243\pi\)
0.912820 0.408362i \(-0.133900\pi\)
\(270\) −2.21791e7 5.65115e7i −0.0685758 0.174728i
\(271\) −1.13546e7 1.51516e8i −0.0346560 0.462452i −0.987354 0.158532i \(-0.949324\pi\)
0.952698 0.303919i \(-0.0982953\pi\)
\(272\) 3.07704e8 + 4.63789e7i 0.927133 + 0.139743i
\(273\) −1.17642e8 + 1.09156e8i −0.349939 + 0.324696i
\(274\) −5.59025e8 + 2.69212e8i −1.64174 + 0.790620i
\(275\) 4.98946e8 + 3.40176e8i 1.44674 + 0.986368i
\(276\) −1.20938e7 + 3.08144e7i −0.0346242 + 0.0882210i
\(277\) −9.39170e7 2.89695e7i −0.265500 0.0818960i 0.159147 0.987255i \(-0.449126\pi\)
−0.424647 + 0.905359i \(0.639602\pi\)
\(278\) 2.21367e7 + 2.05398e7i 0.0617953 + 0.0573376i
\(279\) 1.39362e8 + 1.74754e8i 0.384176 + 0.481741i
\(280\) −1.71884e7 2.15535e7i −0.0467931 0.0586767i
\(281\) −3.63108e8 3.36915e8i −0.976257 0.905834i 0.0193170 0.999813i \(-0.493851\pi\)
−0.995574 + 0.0939792i \(0.970041\pi\)
\(282\) 1.81666e8 + 5.60365e7i 0.482394 + 0.148799i
\(283\) 6.40628e7 1.63229e8i 0.168017 0.428100i −0.821921 0.569601i \(-0.807098\pi\)
0.989938 + 0.141501i \(0.0451929\pi\)
\(284\) −2.74800e7 1.87355e7i −0.0711872 0.0485346i
\(285\) −2.37640e7 + 1.14441e7i −0.0608082 + 0.0292837i
\(286\) −6.98627e8 + 6.48231e8i −1.76589 + 1.63851i
\(287\) 3.10350e8 + 4.67778e7i 0.774935 + 0.116803i
\(288\) −3.05551e6 4.07730e7i −0.00753721 0.100577i
\(289\) −4.24804e7 1.08238e8i −0.103525 0.263778i
\(290\) 2.09664e7 9.18596e7i 0.0504812 0.221173i
\(291\) −9.17909e6 + 1.22487e8i −0.0218361 + 0.291382i
\(292\) −8.38188e7 + 2.58547e7i −0.197016 + 0.0607714i
\(293\) 3.93378e8 + 1.89441e8i 0.913636 + 0.439984i 0.830795 0.556579i \(-0.187886\pi\)
0.0828412 + 0.996563i \(0.473601\pi\)
\(294\) −1.33754e8 2.31668e8i −0.306966 0.531681i
\(295\) 421515. 730086.i 0.000955953 0.00165576i
\(296\) −5.88314e8 + 4.01106e8i −1.31852 + 0.898955i
\(297\) −1.95667e8 8.57274e8i −0.433382 1.89877i
\(298\) 2.34290e8 3.53135e7i 0.512857 0.0773007i
\(299\) −3.67620e8 + 4.60981e8i −0.795334 + 0.997318i
\(300\) −4.27304e7 −0.0913718
\(301\) −1.68753e8 + 1.61231e8i −0.356671 + 0.340774i
\(302\) −3.21302e8 −0.671258
\(303\) 3.43847e8 4.31170e8i 0.710094 0.890429i
\(304\) −2.88909e8 + 4.35460e7i −0.589798 + 0.0888977i
\(305\) −3.86022e6 1.69127e7i −0.00779045 0.0341322i
\(306\) 1.53618e8 1.04735e8i 0.306491 0.208962i
\(307\) −1.30543e7 + 2.26106e7i −0.0257494 + 0.0445994i −0.878613 0.477535i \(-0.841531\pi\)
0.852864 + 0.522134i \(0.174864\pi\)
\(308\) 2.78981e7 + 4.83210e7i 0.0544061 + 0.0942341i
\(309\) 5.51469e8 + 2.65574e8i 1.06333 + 0.512071i
\(310\) −1.29487e8 + 3.99415e7i −0.246866 + 0.0761481i
\(311\) 1.36170e7 1.81707e8i 0.0256697 0.342538i −0.969551 0.244889i \(-0.921249\pi\)
0.995221 0.0976495i \(-0.0311324\pi\)
\(312\) −1.07392e8 + 4.70515e8i −0.200185 + 0.877066i
\(313\) 1.34400e8 + 3.42446e8i 0.247739 + 0.631229i 0.999605 0.0280864i \(-0.00894135\pi\)
−0.751866 + 0.659316i \(0.770846\pi\)
\(314\) 1.99847e7 + 2.66678e8i 0.0364288 + 0.486108i
\(315\) −1.83148e7 2.76051e6i −0.0330153 0.00497625i
\(316\) −8.81649e6 + 8.18051e6i −0.0157178 + 0.0145840i
\(317\) −5.35423e8 + 2.57846e8i −0.944039 + 0.454625i −0.841592 0.540113i \(-0.818381\pi\)
−0.102447 + 0.994738i \(0.532667\pi\)
\(318\) −4.72794e8 3.22346e8i −0.824474 0.562117i
\(319\) 4.98600e8 1.27041e9i 0.859972 2.19117i
\(320\) −7.78436e7 2.40116e7i −0.132800 0.0409633i
\(321\) 1.43652e7 + 1.33289e7i 0.0242406 + 0.0224920i
\(322\) 1.97071e8 + 2.47120e8i 0.328949 + 0.412489i
\(323\) −1.72146e8 2.15864e8i −0.284242 0.356428i
\(324\) 2.28555e7 + 2.12068e7i 0.0373322 + 0.0346392i
\(325\) −7.27289e8 2.24339e8i −1.17521 0.362504i
\(326\) 1.18195e8 3.01156e8i 0.188946 0.481426i
\(327\) 2.86238e8 + 1.95154e8i 0.452699 + 0.308645i
\(328\) 8.50381e8 4.09522e8i 1.33062 0.640794i
\(329\) 1.45327e8 1.34844e8i 0.224988 0.208759i
\(330\) 1.54223e8 + 2.32454e7i 0.236239 + 0.0356073i
\(331\) −8.81692e7 1.17654e9i −0.133635 1.78323i −0.513402 0.858148i \(-0.671615\pi\)
0.379767 0.925082i \(-0.376004\pi\)
\(332\) −3.04542e7 7.75961e7i −0.0456735 0.116374i
\(333\) −1.06451e8 + 4.66392e8i −0.157977 + 0.692143i
\(334\) 2.30061e7 3.06996e8i 0.0337856 0.450837i
\(335\) −1.61586e8 + 4.98428e7i −0.234827 + 0.0724345i
\(336\) 2.62110e8 + 1.26226e8i 0.376961 + 0.181535i
\(337\) 2.29024e7 + 3.96681e7i 0.0325969 + 0.0564595i 0.881864 0.471505i \(-0.156289\pi\)
−0.849267 + 0.527964i \(0.822956\pi\)
\(338\) 2.24498e8 3.88841e8i 0.316230 0.547726i
\(339\) −1.02644e8 + 6.99815e7i −0.143098 + 0.0975628i
\(340\) 2.73921e6 + 1.20013e7i 0.00377963 + 0.0165597i
\(341\) −1.94083e9 + 2.92533e8i −2.65061 + 0.399516i
\(342\) −1.08841e8 + 1.36483e8i −0.147130 + 0.184496i
\(343\) −6.47627e8 −0.866553
\(344\) −1.46170e8 + 6.86493e8i −0.193599 + 0.909247i
\(345\) 9.64911e7 0.126509
\(346\) −4.51641e8 + 5.66340e8i −0.586174 + 0.735039i
\(347\) 9.42238e8 1.42020e8i 1.21062 0.182472i 0.487455 0.873148i \(-0.337925\pi\)
0.723164 + 0.690676i \(0.242687\pi\)
\(348\) 2.14888e7 + 9.41488e7i 0.0273329 + 0.119753i
\(349\) 6.80287e8 4.63812e8i 0.856650 0.584054i −0.0533906 0.998574i \(-0.517003\pi\)
0.910040 + 0.414520i \(0.136050\pi\)
\(350\) −2.04004e8 + 3.53345e8i −0.254331 + 0.440515i
\(351\) 5.54131e8 + 9.59783e8i 0.683971 + 1.18467i
\(352\) 3.23481e8 + 1.55780e8i 0.395320 + 0.190376i
\(353\) 8.42388e7 2.59842e7i 0.101930 0.0314411i −0.243371 0.969933i \(-0.578253\pi\)
0.345301 + 0.938492i \(0.387777\pi\)
\(354\) −591234. + 7.88946e6i −0.000708350 + 0.00945227i
\(355\) −2.15728e7 + 9.45165e7i −0.0255921 + 0.112126i
\(356\) −3.81821e7 9.72864e7i −0.0448523 0.114282i
\(357\) 2.05446e7 + 2.74149e8i 0.0238979 + 0.318895i
\(358\) 3.63313e8 + 5.47606e7i 0.418495 + 0.0630780i
\(359\) 9.48125e8 8.79731e8i 1.08152 1.00350i 0.0815443 0.996670i \(-0.474015\pi\)
0.999977 0.00683509i \(-0.00217569\pi\)
\(360\) −5.01838e7 + 2.41672e7i −0.0566897 + 0.0273003i
\(361\) −5.24361e8 3.57503e8i −0.586617 0.399949i
\(362\) 5.56963e8 1.41912e9i 0.617087 1.57231i
\(363\) 1.49183e9 + 4.60169e8i 1.63699 + 0.504945i
\(364\) −5.15508e7 4.78321e7i −0.0560248 0.0519834i
\(365\) 1.59416e8 + 1.99901e8i 0.171596 + 0.215174i
\(366\) 1.01506e8 + 1.27284e8i 0.108220 + 0.135703i
\(367\) −6.08182e7 5.64311e7i −0.0642248 0.0595919i 0.647407 0.762144i \(-0.275853\pi\)
−0.711632 + 0.702552i \(0.752044\pi\)
\(368\) 1.02136e9 + 3.15049e8i 1.06835 + 0.329542i
\(369\) 2.31674e8 5.90295e8i 0.240040 0.611613i
\(370\) −2.39625e8 1.63373e8i −0.245938 0.167678i
\(371\) −5.37623e8 + 2.58905e8i −0.546599 + 0.263228i
\(372\) 1.01809e8 9.44654e7i 0.102539 0.0951420i
\(373\) −1.41350e9 2.13051e8i −1.41031 0.212570i −0.600670 0.799497i \(-0.705099\pi\)
−0.809640 + 0.586927i \(0.800338\pi\)
\(374\) 1.22006e8 + 1.62806e9i 0.120596 + 1.60924i
\(375\) 9.22624e7 + 2.35081e8i 0.0903473 + 0.230201i
\(376\) 1.32665e8 5.81242e8i 0.128706 0.563897i
\(377\) −1.28542e8 + 1.71527e9i −0.123552 + 1.64869i
\(378\) 5.67716e8 1.75117e8i 0.540642 0.166766i
\(379\) 1.45607e9 + 7.01208e8i 1.37387 + 0.661622i 0.967683 0.252168i \(-0.0811435\pi\)
0.406188 + 0.913790i \(0.366858\pi\)
\(380\) −5.77900e6 1.00095e7i −0.00540269 0.00935773i
\(381\) −2.05106e8 + 3.55253e8i −0.189994 + 0.329079i
\(382\) 2.30897e8 1.57423e8i 0.211932 0.144493i
\(383\) 3.00637e8 + 1.31718e9i 0.273431 + 1.19798i 0.905933 + 0.423420i \(0.139171\pi\)
−0.632503 + 0.774558i \(0.717972\pi\)
\(384\) 9.60869e8 1.44828e8i 0.865974 0.130525i
\(385\) 1.01405e8 1.27158e8i 0.0905620 0.113561i
\(386\) −1.97643e9 −1.74914
\(387\) 2.41722e8 + 4.04896e8i 0.211996 + 0.355104i
\(388\) −5.38242e7 −0.0467807
\(389\) 9.69040e8 1.21514e9i 0.834676 1.04665i −0.163516 0.986541i \(-0.552283\pi\)
0.998192 0.0601100i \(-0.0191451\pi\)
\(390\) −1.94377e8 + 2.92977e7i −0.165928 + 0.0250096i
\(391\) 2.24759e8 + 9.84732e8i 0.190151 + 0.833104i
\(392\) −6.93133e8 + 4.72570e8i −0.581186 + 0.396246i
\(393\) −4.96739e8 + 8.60376e8i −0.412814 + 0.715014i
\(394\) −4.03559e8 6.98985e8i −0.332407 0.575746i
\(395\) 3.15860e7 + 1.52110e7i 0.0257873 + 0.0124185i
\(396\) 1.07725e8 3.32288e7i 0.0871734 0.0268894i
\(397\) −9.61784e7 + 1.28341e9i −0.0771455 + 1.02944i 0.815524 + 0.578724i \(0.196449\pi\)
−0.892669 + 0.450712i \(0.851170\pi\)
\(398\) 2.49944e8 1.09507e9i 0.198724 0.870668i
\(399\) −9.43038e7 2.40282e8i −0.0743231 0.189372i
\(400\) 1.03107e8 + 1.37586e9i 0.0805520 + 1.07489i
\(401\) −1.58279e8 2.38568e7i −0.122580 0.0184759i 0.0874658 0.996168i \(-0.472123\pi\)
−0.210046 + 0.977692i \(0.567361\pi\)
\(402\) 1.16331e9 1.07939e9i 0.893109 0.828684i
\(403\) 2.22879e9 1.07333e9i 1.69630 0.816894i
\(404\) 1.99671e8 + 1.36133e8i 0.150654 + 0.102714i
\(405\) 3.32031e7 8.46002e7i 0.0248363 0.0632818i
\(406\) 8.81125e8 + 2.71791e8i 0.653426 + 0.201555i
\(407\) −3.07937e9 2.85724e9i −2.26403 2.10071i
\(408\) 5.15473e8 + 6.46383e8i 0.375747 + 0.471172i
\(409\) −1.22300e9 1.53359e9i −0.883882 1.10835i −0.993438 0.114373i \(-0.963514\pi\)
0.109555 0.993981i \(-0.465057\pi\)
\(410\) 2.81813e8 + 2.61484e8i 0.201938 + 0.187371i
\(411\) −1.77133e9 5.46383e8i −1.25850 0.388196i
\(412\) −9.79904e7 + 2.49675e8i −0.0690308 + 0.175888i
\(413\) 6.81664e6 + 4.64751e6i 0.00476152 + 0.00324635i
\(414\) 5.75377e8 2.77087e8i 0.398521 0.191917i
\(415\) −1.78118e8 + 1.65269e8i −0.122332 + 0.113507i
\(416\) −4.47461e8 6.74440e7i −0.304740 0.0459321i
\(417\) 6.74198e6 + 8.99654e7i 0.00455314 + 0.0607574i
\(418\) −5.60032e8 1.42694e9i −0.375056 0.955626i
\(419\) 1.05297e8 4.61335e8i 0.0699304 0.306385i −0.927852 0.372949i \(-0.878347\pi\)
0.997782 + 0.0665641i \(0.0212037\pi\)
\(420\) −860030. + 1.14763e7i −0.000566423 + 0.00755839i
\(421\) −7.06439e8 + 2.17907e8i −0.461410 + 0.142326i −0.516741 0.856142i \(-0.672855\pi\)
0.0553306 + 0.998468i \(0.482379\pi\)
\(422\) −1.94147e9 9.34963e8i −1.25759 0.605621i
\(423\) −2.00276e8 3.46888e8i −0.128658 0.222843i
\(424\) −8.97246e8 + 1.55408e9i −0.571651 + 0.990128i
\(425\) −1.07727e9 + 7.34471e8i −0.680713 + 0.464102i
\(426\) −2.02454e8 8.87008e8i −0.126880 0.555897i
\(427\) 1.67874e8 2.53030e7i 0.104349 0.0157280i
\(428\) −5.35400e6 + 6.71370e6i −0.00330084 + 0.00413913i
\(429\) −2.84725e9 −1.74110
\(430\) −2.82036e8 + 4.67340e7i −0.171067 + 0.0283461i
\(431\) 1.34895e9 0.811569 0.405784 0.913969i \(-0.366998\pi\)
0.405784 + 0.913969i \(0.366998\pi\)
\(432\) 1.25262e9 1.57073e9i 0.747525 0.937367i
\(433\) 3.29223e8 4.96223e7i 0.194887 0.0293744i −0.0508736 0.998705i \(-0.516201\pi\)
0.245760 + 0.969331i \(0.420962\pi\)
\(434\) −2.95091e8 1.29288e9i −0.173277 0.759177i
\(435\) 2.32580e8 1.58570e8i 0.135475 0.0923654i
\(436\) −7.59040e7 + 1.31470e8i −0.0438593 + 0.0759666i
\(437\) −4.74180e8 8.21303e8i −0.271805 0.470781i
\(438\) −2.16188e9 1.04111e9i −1.22934 0.592020i
\(439\) −1.43742e9 + 4.43386e8i −0.810884 + 0.250125i −0.672350 0.740233i \(-0.734715\pi\)
−0.138534 + 0.990358i \(0.544239\pi\)
\(440\) 3.65509e7 4.87738e8i 0.0204557 0.272962i
\(441\) −1.25417e8 + 5.49488e8i −0.0696340 + 0.305086i
\(442\) −7.51762e8 1.91546e9i −0.414097 1.05510i
\(443\) 2.07523e8 + 2.76920e9i 0.113410 + 1.51336i 0.706208 + 0.708005i \(0.250405\pi\)
−0.592797 + 0.805352i \(0.701976\pi\)
\(444\) 2.93926e8 + 4.43023e7i 0.159367 + 0.0240207i
\(445\) −2.23316e8 + 2.07207e8i −0.120132 + 0.111467i
\(446\) 3.15199e8 1.51792e8i 0.168234 0.0810171i
\(447\) 5.84858e8 + 3.98750e8i 0.309724 + 0.211166i
\(448\) 2.91259e8 7.42115e8i 0.153040 0.389940i
\(449\) −1.61683e9 4.98726e8i −0.842951 0.260016i −0.156941 0.987608i \(-0.550163\pi\)
−0.686010 + 0.727592i \(0.740639\pi\)
\(450\) 6.04298e8 + 5.60706e8i 0.312613 + 0.290063i
\(451\) 3.47182e9 + 4.35352e9i 1.78213 + 2.23472i
\(452\) −3.39415e7 4.25613e7i −0.0172881 0.0216785i
\(453\) −7.03660e8 6.52901e8i −0.355647 0.329992i
\(454\) 5.58453e8 + 1.72260e8i 0.280086 + 0.0863951i
\(455\) −7.48899e7 + 1.90816e8i −0.0372721 + 0.0949676i
\(456\) −6.41372e8 4.37280e8i −0.316762 0.215965i
\(457\) 1.69294e9 8.15277e8i 0.829727 0.399575i 0.0297140 0.999558i \(-0.490540\pi\)
0.800013 + 0.599983i \(0.204826\pi\)
\(458\) −1.40734e9 + 1.30582e9i −0.684494 + 0.635118i
\(459\) 1.87733e9 + 2.82962e8i 0.906142 + 0.136579i
\(460\) 3.15977e6 + 4.21642e7i 0.00151357 + 0.0201972i
\(461\) 7.88414e8 + 2.00885e9i 0.374801 + 0.954978i 0.986481 + 0.163873i \(0.0523987\pi\)
−0.611680 + 0.791105i \(0.709506\pi\)
\(462\) −3.39641e8 + 1.48807e9i −0.160241 + 0.702062i
\(463\) 8.79401e7 1.17348e9i 0.0411769 0.549468i −0.938023 0.346572i \(-0.887346\pi\)
0.979200 0.202896i \(-0.0650353\pi\)
\(464\) 2.97961e9 9.19089e8i 1.38467 0.427115i
\(465\) −3.64743e8 1.75651e8i −0.168229 0.0810150i
\(466\) 1.46460e9 + 2.53676e9i 0.670453 + 1.16126i
\(467\) 2.29586e8 3.97654e8i 0.104312 0.180674i −0.809145 0.587609i \(-0.800069\pi\)
0.913457 + 0.406935i \(0.133403\pi\)
\(468\) −1.17396e8 + 8.00394e7i −0.0529412 + 0.0360947i
\(469\) −3.68242e8 1.61337e9i −0.164827 0.722154i
\(470\) 2.40120e8 3.61923e7i 0.106681 0.0160796i
\(471\) −4.98134e8 + 6.24641e8i −0.219671 + 0.275459i
\(472\) 2.48107e7 0.0108603
\(473\) −4.14040e9 + 6.04961e7i −1.79899 + 0.0262853i
\(474\) −3.29007e8 −0.141900
\(475\) 7.63267e8 9.57106e8i 0.326775 0.409763i
\(476\) −1.19124e8 + 1.79550e7i −0.0506261 + 0.00763065i
\(477\) 2.68279e8 + 1.17541e9i 0.113181 + 0.495877i
\(478\) 5.89640e8 4.02010e8i 0.246939 0.168360i
\(479\) −4.38276e7 + 7.59116e7i −0.0182210 + 0.0315598i −0.874992 0.484137i \(-0.839134\pi\)
0.856771 + 0.515697i \(0.172467\pi\)
\(480\) 3.70272e7 + 6.41330e7i 0.0152819 + 0.0264690i
\(481\) 4.77016e9 + 2.29719e9i 1.95445 + 0.941215i
\(482\) −2.13797e9 + 6.59475e8i −0.869633 + 0.268246i
\(483\) −7.05674e7 + 9.41656e8i −0.0284963 + 0.380257i
\(484\) −1.52230e8 + 6.66962e8i −0.0610297 + 0.267388i
\(485\) 5.73192e7 + 1.46047e8i 0.0228141 + 0.0581295i
\(486\) −1.53163e8 2.04382e9i −0.0605238 0.807634i
\(487\) 1.93654e9 + 2.91886e8i 0.759756 + 0.114515i 0.517483 0.855693i \(-0.326869\pi\)
0.242273 + 0.970208i \(0.422107\pi\)
\(488\) 3.74258e8 3.47260e8i 0.145781 0.135265i
\(489\) 8.70813e8 4.19361e8i 0.336778 0.162184i
\(490\) −2.82318e8 1.92481e8i −0.108406 0.0739099i
\(491\) 3.88318e8 9.89418e8i 0.148048 0.377220i −0.837542 0.546373i \(-0.816008\pi\)
0.985590 + 0.169153i \(0.0541033\pi\)
\(492\) −3.76513e8 1.16139e8i −0.142529 0.0439643i
\(493\) 2.16003e9 + 2.00421e9i 0.811886 + 0.753320i
\(494\) 1.20459e9 + 1.51051e9i 0.449567 + 0.563739i
\(495\) −2.04883e8 2.56916e8i −0.0759257 0.0952078i
\(496\) −3.28732e9 3.05019e9i −1.20964 1.12238i
\(497\) −9.06609e8 2.79652e8i −0.331263 0.102181i
\(498\) 8.33090e8 2.12268e9i 0.302266 0.770161i
\(499\) −7.91772e6 5.39821e6i −0.00285265 0.00194490i 0.561893 0.827210i \(-0.310073\pi\)
−0.564746 + 0.825265i \(0.691026\pi\)
\(500\) −9.97033e7 + 4.80146e7i −0.0356709 + 0.0171782i
\(501\) 6.74213e8 6.25578e8i 0.239533 0.222254i
\(502\) 1.10282e9 + 1.66223e8i 0.389082 + 0.0586447i
\(503\) −4.90836e6 6.54975e7i −0.00171968 0.0229476i 0.996278 0.0861989i \(-0.0274721\pi\)
−0.997998 + 0.0632514i \(0.979853\pi\)
\(504\) −1.99147e8 5.07418e8i −0.0692893 0.176546i
\(505\) 1.56749e8 6.86761e8i 0.0541607 0.237293i
\(506\) −4.19071e8 + 5.59211e9i −0.143801 + 1.91889i
\(507\) 1.28180e9 3.95382e8i 0.436809 0.134738i
\(508\) −1.61954e8 7.79927e7i −0.0548110 0.0263956i
\(509\) 1.81747e9 + 3.14794e9i 0.610877 + 1.05807i 0.991093 + 0.133172i \(0.0425164\pi\)
−0.380216 + 0.924898i \(0.624150\pi\)
\(510\) −1.68372e8 + 2.91629e8i −0.0562049 + 0.0973497i
\(511\) −2.06742e9 + 1.40954e9i −0.685419 + 0.467310i
\(512\) −5.13282e8 2.24884e9i −0.169010 0.740480i
\(513\) −1.76266e9 + 2.65678e8i −0.576444 + 0.0868850i
\(514\) 1.19563e9 1.49928e9i 0.388353 0.486980i
\(515\) 7.81824e8 0.252223
\(516\) 2.39656e8 1.68576e8i 0.0767917 0.0540158i
\(517\) 3.51729e9 1.11942
\(518\) 1.76961e9 2.21902e9i 0.559401 0.701466i
\(519\) −2.13993e9 + 3.22543e8i −0.671915 + 0.101275i
\(520\) 1.37173e8 + 6.00995e8i 0.0427817 + 0.187439i
\(521\) 1.97703e9 1.34792e9i 0.612465 0.417571i −0.216967 0.976179i \(-0.569617\pi\)
0.829432 + 0.558607i \(0.188664\pi\)
\(522\) 9.31519e8 1.61344e9i 0.286645 0.496484i
\(523\) −2.00426e9 3.47148e9i −0.612629 1.06111i −0.990795 0.135367i \(-0.956779\pi\)
0.378166 0.925738i \(-0.376555\pi\)
\(524\) −3.92230e8 1.88888e8i −0.119092 0.0573515i
\(525\) −1.16479e9 + 3.59289e8i −0.351309 + 0.108364i
\(526\) −3.66381e8 + 4.88901e9i −0.109770 + 1.46477i
\(527\) 9.42990e8 4.13151e9i 0.280653 1.22962i
\(528\) 1.88569e9 + 4.80466e9i 0.557509 + 1.42051i
\(529\) 4.82359e6 + 6.43663e7i 0.00141669 + 0.0189044i
\(530\) −7.22747e8 1.08937e8i −0.210873 0.0317840i
\(531\) 1.22193e7 1.13379e7i 0.00354174 0.00328626i
\(532\) 1.01909e8 4.90769e7i 0.0293443 0.0141314i
\(533\) −5.79867e9 3.95347e9i −1.65876 1.13092i
\(534\) 1.04449e9 2.66132e9i 0.296831 0.756314i
\(535\) 2.39187e7 + 7.37793e6i 0.00675303 + 0.00208303i
\(536\) −3.64813e9 3.38497e9i −1.02328 0.949463i
\(537\) 6.84389e8 + 8.58196e8i 0.190718 + 0.239153i
\(538\) 2.86920e9 + 3.59787e9i 0.794371 + 0.996110i
\(539\) −3.62802e9 3.36631e9i −0.997951 0.925963i
\(540\) 7.59447e7 + 2.34258e7i 0.0207548 + 0.00640202i
\(541\) −7.06146e7 + 1.79923e8i −0.0191736 + 0.0488536i −0.940140 0.340788i \(-0.889306\pi\)
0.920966 + 0.389642i \(0.127401\pi\)
\(542\) 1.50487e9 + 1.02600e9i 0.405976 + 0.276790i
\(543\) 4.10348e9 1.97613e9i 1.09990 0.529683i
\(544\) −5.68256e8 + 5.27265e8i −0.151338 + 0.140421i
\(545\) 4.37563e8 + 6.59521e7i 0.115785 + 0.0174518i
\(546\) −1.43761e8 1.91835e9i −0.0377978 0.504376i
\(547\) 1.42949e9 + 3.64228e9i 0.373444 + 0.951520i 0.986834 + 0.161739i \(0.0517104\pi\)
−0.613389 + 0.789781i \(0.710194\pi\)
\(548\) 1.80751e8 7.91920e8i 0.0469189 0.205565i
\(549\) 2.56334e7 3.42054e8i 0.00661154 0.0882249i
\(550\) −6.91719e9 + 2.13367e9i −1.77280 + 0.546837i
\(551\) −2.49265e9 1.20040e9i −0.634792 0.305700i
\(552\) 1.41988e9 + 2.45931e9i 0.359307 + 0.622338i
\(553\) −1.71544e8 + 2.97124e8i −0.0431359 + 0.0747136i
\(554\) 9.73428e8 6.63672e8i 0.243231 0.165832i
\(555\) −1.92802e8 8.44721e8i −0.0478725 0.209743i
\(556\) −3.90919e7 + 5.89216e6i −0.00964551 + 0.00145383i
\(557\) 2.66130e9 3.33716e9i 0.652530 0.818247i −0.339977 0.940434i \(-0.610419\pi\)
0.992507 + 0.122187i \(0.0389908\pi\)
\(558\) −2.67937e9 −0.652850
\(559\) 4.96409e9 1.61101e9i 1.20198 0.390083i
\(560\) 3.71597e8 0.0894157
\(561\) −3.04110e9 + 3.81341e9i −0.727210 + 0.911893i
\(562\) 5.87140e9 8.84971e8i 1.39529 0.210306i
\(563\) 1.70609e9 + 7.47486e9i 0.402923 + 1.76532i 0.615461 + 0.788168i \(0.288970\pi\)
−0.212538 + 0.977153i \(0.568173\pi\)
\(564\) −2.05638e8 + 1.40201e8i −0.0482643 + 0.0329060i
\(565\) −7.93407e7 + 1.37422e8i −0.0185066 + 0.0320543i
\(566\) 1.05098e9 + 1.82035e9i 0.243634 + 0.421986i
\(567\) 8.01331e8 + 3.85901e8i 0.184617 + 0.0889068i
\(568\) −2.72643e9 + 8.40991e8i −0.624273 + 0.192563i
\(569\) −3.57575e6 + 4.77151e7i −0.000813719 + 0.0108583i −0.997596 0.0692998i \(-0.977923\pi\)
0.996782 + 0.0801581i \(0.0255425\pi\)
\(570\) 7.03555e7 3.08247e8i 0.0159124 0.0697168i
\(571\) 9.92812e8 + 2.52964e9i 0.223173 + 0.568634i 0.997978 0.0635658i \(-0.0202473\pi\)
−0.774805 + 0.632200i \(0.782152\pi\)
\(572\) −9.32382e7 1.24418e9i −0.0208309 0.277969i
\(573\) 8.25561e8 + 1.24433e8i 0.183319 + 0.0276309i
\(574\) −2.75793e9 + 2.55898e9i −0.608683 + 0.564775i
\(575\) −4.03492e9 + 1.94311e9i −0.885110 + 0.426246i
\(576\) −1.33086e9 9.07368e8i −0.290172 0.197836i
\(577\) 1.48374e9 3.78050e9i 0.321545 0.819283i −0.675122 0.737706i \(-0.735909\pi\)
0.996667 0.0815769i \(-0.0259956\pi\)
\(578\) 1.33190e9 + 4.10836e8i 0.286896 + 0.0884956i
\(579\) −4.32842e9 4.01619e9i −0.926733 0.859882i
\(580\) 7.69076e7 + 9.64390e7i 0.0163671 + 0.0205237i
\(581\) −1.48260e9 1.85912e9i −0.313623 0.393270i
\(582\) −1.07934e9 1.00148e9i −0.226948 0.210577i
\(583\) −1.01165e10 3.12052e9i −2.11441 0.652209i
\(584\) −2.74913e9 + 7.00467e9i −0.571150 + 1.45527i
\(585\) 3.42199e8 + 2.33307e8i 0.0706696 + 0.0481817i
\(586\) −4.71550e9 + 2.27086e9i −0.968024 + 0.466176i
\(587\) −5.81108e8 + 5.39189e8i −0.118583 + 0.110029i −0.737236 0.675635i \(-0.763869\pi\)
0.618653 + 0.785665i \(0.287679\pi\)
\(588\) 3.46295e8 + 5.21955e7i 0.0702466 + 0.0105880i
\(589\) 2.97344e8 + 3.96778e9i 0.0599592 + 0.800099i
\(590\) 3.69198e6 + 9.40702e6i 0.000740078 + 0.00188569i
\(591\) 5.36565e8 2.35084e9i 0.106922 0.468455i
\(592\) 7.17242e8 9.57093e9i 0.142082 1.89596i
\(593\) −1.21514e9 + 3.74822e8i −0.239296 + 0.0738132i −0.412084 0.911146i \(-0.635199\pi\)
0.172787 + 0.984959i \(0.444723\pi\)
\(594\) 9.49675e9 + 4.57339e9i 1.85918 + 0.895336i
\(595\) 1.75578e8 + 3.04110e8i 0.0341713 + 0.0591864i
\(596\) −1.55092e8 + 2.68627e8i −0.0300073 + 0.0519741i
\(597\) 2.77262e9 1.89034e9i 0.533311 0.363605i
\(598\) −1.57274e9 6.89064e9i −0.300749 1.31767i
\(599\) 9.87169e9 1.48792e9i 1.87671 0.282869i 0.891347 0.453322i \(-0.149761\pi\)
0.985366 + 0.170453i \(0.0545232\pi\)
\(600\) −2.28552e9 + 2.86595e9i −0.431973 + 0.541676i
\(601\) −9.65768e9 −1.81473 −0.907365 0.420343i \(-0.861910\pi\)
−0.907365 + 0.420343i \(0.861910\pi\)
\(602\) −2.49813e8 2.78657e9i −0.0466689 0.520574i
\(603\) −3.34357e9 −0.621011
\(604\) 2.62259e8 3.28863e8i 0.0484285 0.0607275i
\(605\) 1.97186e9 2.97209e8i 0.362019 0.0545656i
\(606\) 1.47104e9 + 6.44504e9i 0.268516 + 1.17645i
\(607\) −6.81404e9 + 4.64574e9i −1.23664 + 0.843129i −0.991970 0.126476i \(-0.959633\pi\)
−0.244674 + 0.969605i \(0.578681\pi\)
\(608\) 3.63921e8 6.30330e8i 0.0656666 0.113738i
\(609\) 1.37739e9 + 2.38571e9i 0.247114 + 0.428014i
\(610\) 1.87356e8 + 9.02261e7i 0.0334206 + 0.0160945i
\(611\) −4.23611e9 + 1.30667e9i −0.751317 + 0.231751i
\(612\) −1.81895e7 + 2.42722e8i −0.00320767 + 0.0428034i
\(613\) 7.19716e8 3.15328e9i 0.126197 0.552905i −0.871812 0.489840i \(-0.837055\pi\)
0.998009 0.0630654i \(-0.0200877\pi\)
\(614\) −1.14340e8 2.91334e8i −0.0199347 0.0507927i
\(615\) 8.58294e7 + 1.14531e9i 0.0148790 + 0.198546i
\(616\) 4.73311e9 + 7.13401e8i 0.815857 + 0.122971i
\(617\) 3.69205e9 3.42572e9i 0.632804 0.587156i −0.297151 0.954831i \(-0.596036\pi\)
0.929955 + 0.367674i \(0.119846\pi\)
\(618\) −6.61057e9 + 3.18348e9i −1.12663 + 0.542554i
\(619\) −5.98916e9 4.08334e9i −1.01496 0.691988i −0.0629374 0.998017i \(-0.520047\pi\)
−0.952022 + 0.306030i \(0.900999\pi\)
\(620\) 6.48111e7 1.65136e8i 0.0109214 0.0278273i
\(621\) 6.23143e9 + 1.92214e9i 1.04416 + 0.322081i
\(622\) 1.60118e9 + 1.48567e9i 0.266792 + 0.247547i
\(623\) −1.85882e9 2.33088e9i −0.307984 0.386200i
\(624\) −4.05599e9 5.08605e9i −0.668268 0.837981i
\(625\) −4.11790e9 3.82085e9i −0.674676 0.626008i
\(626\) −4.21389e9 1.29981e9i −0.686551 0.211773i
\(627\) 1.67312e9 4.26304e9i 0.271076 0.690689i
\(628\) −2.89265e8 1.97218e8i −0.0466055 0.0317751i
\(629\) 8.17163e9 3.93525e9i 1.30928 0.630515i
\(630\) 1.62754e8 1.51014e8i 0.0259323 0.0240616i
\(631\) 5.35856e9 + 8.07673e8i 0.849074 + 0.127977i 0.559144 0.829071i \(-0.311130\pi\)
0.289930 + 0.957048i \(0.406368\pi\)
\(632\) 7.71038e7 + 1.02888e9i 0.0121497 + 0.162127i
\(633\) −2.35198e9 5.99275e9i −0.368571 0.939103i
\(634\) 1.58517e9 6.94509e9i 0.247038 1.08234i
\(635\) −3.91562e7 + 5.22503e8i −0.00606866 + 0.0809806i
\(636\) 7.15843e8 2.20808e8i 0.110336 0.0340342i
\(637\) 5.62005e9 + 2.70647e9i 0.861494 + 0.414874i
\(638\) 8.17977e9 + 1.41678e10i 1.24701 + 2.15988i
\(639\) −9.58461e8 + 1.66010e9i −0.145319 + 0.251699i
\(640\) 1.02552e9 6.99190e8i 0.154638 0.105430i
\(641\) 1.33931e9 + 5.86790e9i 0.200853 + 0.879993i 0.970419 + 0.241426i \(0.0776153\pi\)
−0.769566 + 0.638567i \(0.779528\pi\)
\(642\) −2.32282e8 + 3.50109e7i −0.0346452 + 0.00522192i
\(643\) −2.72511e9 + 3.41718e9i −0.404246 + 0.506909i −0.941732 0.336364i \(-0.890803\pi\)
0.537486 + 0.843273i \(0.319374\pi\)
\(644\) −4.13792e8 −0.0610494
\(645\) −7.12632e8 4.70762e8i −0.104570 0.0690785i
\(646\) 3.30968e9 0.483027
\(647\) 6.22783e9 7.80946e9i 0.904008 1.13359i −0.0865165 0.996250i \(-0.527574\pi\)
0.990524 0.137339i \(-0.0438551\pi\)
\(648\) 2.64483e9 3.98644e8i 0.381843 0.0575536i
\(649\) 3.25712e7 + 1.42704e8i 0.00467710 + 0.0204917i
\(650\) 7.53819e9 5.13945e9i 1.07664 0.734040i
\(651\) 1.98093e9 3.43107e9i 0.281407 0.487412i
\(652\) 2.11767e8 + 3.66791e8i 0.0299221 + 0.0518266i
\(653\) −5.96999e9 2.87500e9i −0.839031 0.404056i −0.0355364 0.999368i \(-0.511314\pi\)
−0.803494 + 0.595313i \(0.797028\pi\)
\(654\) −3.96829e9 + 1.22405e9i −0.554729 + 0.171111i
\(655\) −9.48311e7 + 1.26543e9i −0.0131858 + 0.175952i
\(656\) −2.83101e9 + 1.24035e10i −0.391541 + 1.71545i
\(657\) 1.84701e9 + 4.70611e9i 0.254092 + 0.647416i
\(658\) 1.77592e8 + 2.36980e9i 0.0243015 + 0.324281i
\(659\) −8.39273e9 1.26500e9i −1.14236 0.172184i −0.449519 0.893271i \(-0.648405\pi\)
−0.692844 + 0.721087i \(0.743643\pi\)
\(660\) −1.49675e8 + 1.38878e8i −0.0202650 + 0.0188032i
\(661\) −4.22119e8 + 2.03282e8i −0.0568499 + 0.0273775i −0.462093 0.886832i \(-0.652901\pi\)
0.405243 + 0.914209i \(0.367187\pi\)
\(662\) 1.16854e10 + 7.96699e9i 1.56546 + 1.06731i
\(663\) 2.24592e9 5.72251e9i 0.299293 0.762587i
\(664\) −6.83332e9 2.10780e9i −0.905824 0.279410i
\(665\) −2.41692e8 2.24258e8i −0.0318704 0.0295714i
\(666\) −3.57541e9 4.48342e9i −0.468992 0.588097i
\(667\) 6.31044e9 + 7.91304e9i 0.823416 + 1.03253i
\(668\) 2.95441e8 + 2.74129e8i 0.0383489 + 0.0355826i
\(669\) 9.98742e8 + 3.08071e8i 0.128962 + 0.0397795i
\(670\) 7.40554e8 1.88690e9i 0.0951251 0.242375i
\(671\) 2.48866e9 + 1.69674e9i 0.318007 + 0.216814i
\(672\) −6.52954e8 + 3.14446e8i −0.0830023 + 0.0399718i
\(673\) 9.52179e9 8.83493e9i 1.20411 1.11725i 0.214018 0.976830i \(-0.431345\pi\)
0.990092 0.140421i \(-0.0448455\pi\)
\(674\) −5.42939e8 8.18349e7i −0.0683032 0.0102951i
\(675\) 6.29062e8 + 8.39425e9i 0.0787282 + 1.05055i
\(676\) 2.14747e8 + 5.47167e8i 0.0267371 + 0.0681250i
\(677\) −1.95873e9 + 8.58176e9i −0.242613 + 1.06296i 0.696015 + 0.718027i \(0.254955\pi\)
−0.938628 + 0.344930i \(0.887902\pi\)
\(678\) 1.11286e8 1.48501e9i 0.0137132 0.182989i
\(679\) −1.46719e9 + 4.52569e8i −0.179863 + 0.0554805i
\(680\) 9.51446e8 + 4.58192e8i 0.116039 + 0.0558813i
\(681\) 8.72986e8 + 1.51206e9i 0.105924 + 0.183465i
\(682\) 1.17639e10 2.03757e10i 1.42006 2.45962i
\(683\) −7.57665e9 + 5.16567e9i −0.909923 + 0.620375i −0.925188 0.379509i \(-0.876093\pi\)
0.0152654 + 0.999883i \(0.495141\pi\)
\(684\) −5.08537e7 2.22805e8i −0.00607612 0.0266212i
\(685\) −2.34129e9 + 3.52893e8i −0.278316 + 0.0419494i
\(686\) 4.84030e9 6.06954e9i 0.572450 0.717829i
\(687\) −5.73559e9 −0.674885
\(688\) −6.00619e9 7.30983e9i −0.703136 0.855752i
\(689\) 1.33432e10 1.55415
\(690\) −7.21164e8 + 9.04311e8i −0.0835723 + 0.104796i
\(691\) 5.97937e7 9.01245e6i 0.00689417 0.00103913i −0.145594 0.989344i \(-0.546509\pi\)
0.152488 + 0.988305i \(0.451271\pi\)
\(692\) −2.11019e8 9.24536e8i −0.0242076 0.106060i
\(693\) 2.65708e9 1.81157e9i 0.303276 0.206770i
\(694\) −5.71119e9 + 9.89207e9i −0.648587 + 1.12339i
\(695\) 5.76181e7 + 9.97976e7i 0.00651047 + 0.0112765i
\(696\) 7.46399e9 + 3.59447e9i 0.839149 + 0.404113i
\(697\) −1.14885e10 + 3.54373e9i −1.28513 + 0.396411i
\(698\) −7.37564e8 + 9.84211e9i −0.0820930 + 1.09545i
\(699\) −1.94731e9 + 8.53170e9i −0.215657 + 0.944856i
\(700\) −1.95144e8 4.97218e8i −0.0215036 0.0547903i
\(701\) −1.58997e8 2.12166e9i −0.0174331 0.232629i −0.999114 0.0420943i \(-0.986597\pi\)
0.981681 0.190534i \(-0.0610220\pi\)
\(702\) −1.31366e10 1.98002e9i −1.43319 0.216018i
\(703\) −6.24254e9 + 5.79223e9i −0.677669 + 0.628785i
\(704\) 1.27435e10 6.13693e9i 1.37652 0.662899i
\(705\) 5.99414e8 + 4.08674e8i 0.0644266 + 0.0439253i
\(706\) −3.86069e8 + 9.83687e8i −0.0412903 + 0.105206i
\(707\) 6.58747e9 + 2.03196e9i 0.701052 + 0.216246i
\(708\) −7.59252e6 7.04483e6i −0.000804025 0.000746026i
\(709\) 6.11813e9 + 7.67189e9i 0.644699 + 0.808427i 0.991582 0.129482i \(-0.0413313\pi\)
−0.346883 + 0.937908i \(0.612760\pi\)
\(710\) −7.24573e8 9.08586e8i −0.0759763 0.0952712i
\(711\) 5.08147e8 + 4.71492e8i 0.0530208 + 0.0491961i
\(712\) −8.56731e9 2.64266e9i −0.889538 0.274386i
\(713\) 5.31790e9 1.35498e10i 0.549448 1.39997i
\(714\) −2.72287e9 1.85642e9i −0.279951 0.190868i
\(715\) −3.27667e9 + 1.57796e9i −0.335244 + 0.161445i
\(716\) −3.52599e8 + 3.27164e8i −0.0358993 + 0.0333097i
\(717\) 2.10823e9 + 3.17765e8i 0.213600 + 0.0321950i
\(718\) 1.15863e9 + 1.54608e10i 0.116818 + 1.55882i
\(719\) 7.83351e8 + 1.99595e9i 0.0785969 + 0.200262i 0.964771 0.263090i \(-0.0847418\pi\)
−0.886174 + 0.463352i \(0.846647\pi\)
\(720\) 1.67067e8 7.31969e8i 0.0166812 0.0730851i
\(721\) −5.71776e8 + 7.62982e9i −0.0568137 + 0.758126i
\(722\) 7.26953e9 2.24235e9i 0.718830 0.221730i
\(723\) −6.02228e9 2.90018e9i −0.592621 0.285391i
\(724\) 9.97897e8 + 1.72841e9i 0.0977239 + 0.169263i
\(725\) −6.53242e9 + 1.13145e10i −0.636636 + 1.10269i
\(726\) −1.54625e10 + 1.05421e10i −1.49969 + 1.02247i
\(727\) −1.76854e9 7.74846e9i −0.170704 0.747903i −0.985710 0.168450i \(-0.946124\pi\)
0.815006 0.579452i \(-0.196733\pi\)
\(728\) −5.96543e9 + 8.99144e8i −0.573036 + 0.0863713i
\(729\) 6.52682e9 8.18438e9i 0.623958 0.782419i
\(730\) −3.06492e9 −0.291601
\(731\) 3.14438e9 8.36927e9i 0.297731 0.792459i
\(732\) −2.13132e8 −0.0200844
\(733\) 3.15392e9 3.95489e9i 0.295792 0.370912i −0.611621 0.791151i \(-0.709482\pi\)
0.907414 + 0.420239i \(0.138054\pi\)
\(734\) 9.83419e8 1.48227e8i 0.0917915 0.0138353i
\(735\) −2.27153e8 9.95223e8i −0.0211015 0.0924517i
\(736\) −2.19999e9 + 1.49993e9i −0.203399 + 0.138675i
\(737\) 1.46801e10 2.54267e10i 1.35081 2.33967i
\(738\) 3.80072e9 + 6.58304e9i 0.348072 + 0.602878i
\(739\) −5.33974e9 2.57148e9i −0.486704 0.234384i 0.174406 0.984674i \(-0.444200\pi\)
−0.661109 + 0.750290i \(0.729914\pi\)
\(740\) 3.62809e8 1.11912e8i 0.0329129 0.0101523i
\(741\) −4.31339e8 + 5.75583e9i −0.0389453 + 0.519689i
\(742\) 1.59168e9 6.97362e9i 0.143035 0.626678i
\(743\) −3.12015e9 7.95002e9i −0.279071 0.711062i −0.999840 0.0178864i \(-0.994306\pi\)
0.720769 0.693176i \(-0.243789\pi\)
\(744\) −8.90365e8 1.18811e10i −0.0792616 1.05767i
\(745\) 8.94056e8 + 1.34757e8i 0.0792169 + 0.0119400i
\(746\) 1.25610e10 1.16550e10i 1.10775 1.02784i
\(747\) −4.32865e9 + 2.08457e9i −0.379953 + 0.182976i
\(748\) −1.76596e9 1.20401e9i −0.154285 0.105190i
\(749\) −8.94938e7 + 2.28027e8i −0.00778228 + 0.0198289i
\(750\) −2.89273e9 8.92289e8i −0.250376 0.0772309i
\(751\) −4.68298e9 4.34517e9i −0.403443 0.374341i 0.452191 0.891921i \(-0.350642\pi\)
−0.855635