Properties

Label 37.8.f.a.7.5
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 37 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 37.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.5582459429\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.3313 + 4.85219i) q^{2} +(11.3243 + 4.12171i) q^{3} +(56.1255 - 47.0949i) q^{4} +(4.98573 + 28.2755i) q^{5} -170.967 q^{6} +(7.15684 + 40.5884i) q^{7} +(388.247 - 672.464i) q^{8} +(-1564.09 - 1312.43i) q^{9} +O(q^{10})\) \(q+(-13.3313 + 4.85219i) q^{2} +(11.3243 + 4.12171i) q^{3} +(56.1255 - 47.0949i) q^{4} +(4.98573 + 28.2755i) q^{5} -170.967 q^{6} +(7.15684 + 40.5884i) q^{7} +(388.247 - 672.464i) q^{8} +(-1564.09 - 1312.43i) q^{9} +(-203.664 - 352.756i) q^{10} +(889.520 - 1540.69i) q^{11} +(829.694 - 301.984i) q^{12} +(1422.78 - 1193.85i) q^{13} +(-292.352 - 506.369i) q^{14} +(-60.0834 + 340.750i) q^{15} +(-3541.40 + 20084.3i) q^{16} +(21184.2 + 17775.6i) q^{17} +(27219.4 + 9907.06i) q^{18} +(24418.7 + 8887.67i) q^{19} +(1611.46 + 1352.17i) q^{20} +(-86.2476 + 489.134i) q^{21} +(-4382.70 + 24855.5i) q^{22} +(33013.9 + 57181.8i) q^{23} +(7168.33 - 6014.94i) q^{24} +(72638.8 - 26438.4i) q^{25} +(-13174.7 + 22819.2i) q^{26} +(-25480.6 - 44133.7i) q^{27} +(2313.19 + 1941.00i) q^{28} +(-27825.8 + 48195.7i) q^{29} +(-852.394 - 4834.16i) q^{30} +2217.57 q^{31} +(-32982.2 - 187052. i) q^{32} +(16423.5 - 13780.9i) q^{33} +(-368663. - 134182. i) q^{34} +(-1111.98 + 404.726i) q^{35} -149594. q^{36} +(154786. - 266408. i) q^{37} -368657. q^{38} +(21032.7 - 7655.28i) q^{39} +(20949.9 + 7625.15i) q^{40} +(-5043.33 + 4231.86i) q^{41} +(-1223.58 - 6939.27i) q^{42} +255512. q^{43} +(-22634.0 - 128364. i) q^{44} +(29311.3 - 50768.7i) q^{45} +(-717574. - 602116. i) q^{46} +(395251. + 684595. i) q^{47} +(-122886. + 212844. i) q^{48} +(772281. - 281087. i) q^{49} +(-840084. + 704915. i) q^{50} +(166630. + 288612. i) q^{51} +(23629.8 - 134011. i) q^{52} +(-72057.0 + 408656. i) q^{53} +(553834. + 464722. i) q^{54} +(47998.7 + 17470.1i) q^{55} +(30072.9 + 10945.6i) q^{56} +(239892. + 201293. i) q^{57} +(137099. - 777526. i) q^{58} +(82367.8 - 467131. i) q^{59} +(12675.4 + 21954.4i) q^{60} +(-116090. + 97411.4i) q^{61} +(-29563.0 + 10760.1i) q^{62} +(42075.4 - 72876.7i) q^{63} +(42080.4 + 72885.5i) q^{64} +(40850.4 + 34277.6i) q^{65} +(-152078. + 263407. i) q^{66} +(-544529. - 3.08818e6i) q^{67} +2.02611e6 q^{68} +(138173. + 783618. i) q^{69} +(12860.2 - 10791.0i) q^{70} +(1.47143e6 + 535556. i) q^{71} +(-1.48981e6 + 542247. i) q^{72} +1.58630e6 q^{73} +(-770834. + 4.30261e6i) q^{74} +931556. q^{75} +(1.78907e6 - 651170. i) q^{76} +(68900.5 + 25077.7i) q^{77} +(-243248. + 204109. i) q^{78} +(-243354. - 1.38013e6i) q^{79} -585549. q^{80} +(668757. + 3.79271e6i) q^{81} +(46700.3 - 80887.2i) q^{82} +(2.45831e6 + 2.06277e6i) q^{83} +(18195.0 + 31514.7i) q^{84} +(-396996. + 687618. i) q^{85} +(-3.40630e6 + 1.23979e6i) q^{86} +(-513756. + 431093. i) q^{87} +(-690707. - 1.19634e6i) q^{88} +(690457. - 3.91578e6i) q^{89} +(-144418. + 819036. i) q^{90} +(58639.3 + 49204.2i) q^{91} +(4.54589e6 + 1.65457e6i) q^{92} +(25112.4 + 9140.17i) q^{93} +(-8.59098e6 - 7.20869e6i) q^{94} +(-129558. + 734761. i) q^{95} +(397471. - 2.25417e6i) q^{96} +(-7.47611e6 - 1.29490e7i) q^{97} +(-8.93160e6 + 7.49451e6i) q^{98} +(-3.41333e6 + 1.24235e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} + O(q^{10}) \) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} - 6003 q^{10} - 15975 q^{11} - 4635 q^{12} - 15981 q^{13} - 13491 q^{14} + 38493 q^{15} - 74151 q^{16} + 37698 q^{17} - 20100 q^{18} - 66102 q^{19} - 176184 q^{20} - 142530 q^{21} + 132783 q^{22} + 140631 q^{23} - 38793 q^{24} - 544092 q^{25} - 423147 q^{26} + 130557 q^{27} + 603813 q^{28} + 22890 q^{29} - 319860 q^{30} - 1288044 q^{31} - 217866 q^{32} + 112344 q^{33} + 812019 q^{34} + 1479252 q^{35} + 8118132 q^{36} - 1664550 q^{37} + 305010 q^{38} - 1580340 q^{39} - 4681425 q^{40} - 2956593 q^{41} - 3553029 q^{42} - 1023528 q^{43} + 6409524 q^{44} + 1803336 q^{45} + 10219434 q^{46} - 2607204 q^{47} - 2984043 q^{48} - 6819531 q^{49} + 5724015 q^{50} - 1675833 q^{51} + 11768451 q^{52} + 2280177 q^{53} - 7803897 q^{54} - 3542196 q^{55} + 12168843 q^{56} - 85203 q^{57} - 12425487 q^{58} - 7014600 q^{59} + 2356788 q^{60} + 10840332 q^{61} + 6334368 q^{62} - 3331359 q^{63} - 26175624 q^{64} - 573195 q^{65} - 36720249 q^{66} + 6642918 q^{67} - 25277742 q^{68} - 1236438 q^{69} - 27401982 q^{70} + 20311041 q^{71} + 40093005 q^{72} + 38643780 q^{73} - 9531 q^{74} + 16639446 q^{75} + 5787405 q^{76} - 316971 q^{77} + 9363381 q^{78} + 17712534 q^{79} - 74410128 q^{80} - 10355109 q^{81} - 16702371 q^{82} - 31021176 q^{83} - 61626192 q^{84} + 23576445 q^{85} + 18579072 q^{86} + 104996631 q^{87} + 57279702 q^{88} - 13471320 q^{89} + 56306910 q^{90} - 2335911 q^{91} - 178133436 q^{92} + 24366258 q^{93} + 77086020 q^{94} - 26254407 q^{95} + 152523921 q^{96} + 14408415 q^{97} - 521205 q^{98} + 58375668 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.3313 + 4.85219i −1.17833 + 0.428877i −0.855612 0.517618i \(-0.826819\pi\)
−0.322718 + 0.946495i \(0.604596\pi\)
\(3\) 11.3243 + 4.12171i 0.242151 + 0.0881359i 0.460245 0.887792i \(-0.347762\pi\)
−0.218094 + 0.975928i \(0.569984\pi\)
\(4\) 56.1255 47.0949i 0.438480 0.367929i
\(5\) 4.98573 + 28.2755i 0.0178375 + 0.101161i 0.992427 0.122838i \(-0.0391996\pi\)
−0.974589 + 0.224000i \(0.928089\pi\)
\(6\) −170.967 −0.323134
\(7\) 7.15684 + 40.5884i 0.00788639 + 0.0447259i 0.988497 0.151240i \(-0.0483268\pi\)
−0.980611 + 0.195966i \(0.937216\pi\)
\(8\) 388.247 672.464i 0.268098 0.464359i
\(9\) −1564.09 1312.43i −0.715175 0.600103i
\(10\) −203.664 352.756i −0.0644042 0.111551i
\(11\) 889.520 1540.69i 0.201503 0.349013i −0.747510 0.664251i \(-0.768751\pi\)
0.949013 + 0.315237i \(0.102084\pi\)
\(12\) 829.694 301.984i 0.138606 0.0504486i
\(13\) 1422.78 1193.85i 0.179612 0.150713i −0.548549 0.836118i \(-0.684820\pi\)
0.728161 + 0.685406i \(0.240375\pi\)
\(14\) −292.352 506.369i −0.0284747 0.0493196i
\(15\) −60.0834 + 340.750i −0.00459658 + 0.0260685i
\(16\) −3541.40 + 20084.3i −0.216150 + 1.22585i
\(17\) 21184.2 + 17775.6i 1.04578 + 0.877514i 0.992644 0.121073i \(-0.0386335\pi\)
0.0531371 + 0.998587i \(0.483078\pi\)
\(18\) 27219.4 + 9907.06i 1.10008 + 0.400397i
\(19\) 24418.7 + 8887.67i 0.816741 + 0.297269i 0.716405 0.697684i \(-0.245786\pi\)
0.100336 + 0.994954i \(0.468008\pi\)
\(20\) 1611.46 + 1352.17i 0.0450416 + 0.0377944i
\(21\) −86.2476 + 489.134i −0.00203226 + 0.0115255i
\(22\) −4382.70 + 24855.5i −0.0877531 + 0.497672i
\(23\) 33013.9 + 57181.8i 0.565783 + 0.979964i 0.996976 + 0.0777049i \(0.0247592\pi\)
−0.431194 + 0.902259i \(0.641907\pi\)
\(24\) 7168.33 6014.94i 0.105847 0.0888161i
\(25\) 72638.8 26438.4i 0.929777 0.338411i
\(26\) −13174.7 + 22819.2i −0.147005 + 0.254621i
\(27\) −25480.6 44133.7i −0.249136 0.431516i
\(28\) 2313.19 + 1941.00i 0.0199140 + 0.0167098i
\(29\) −27825.8 + 48195.7i −0.211863 + 0.366957i −0.952298 0.305171i \(-0.901286\pi\)
0.740435 + 0.672128i \(0.234620\pi\)
\(30\) −852.394 4834.16i −0.00576389 0.0326887i
\(31\) 2217.57 0.0133694 0.00668469 0.999978i \(-0.497872\pi\)
0.00668469 + 0.999978i \(0.497872\pi\)
\(32\) −32982.2 187052.i −0.177932 1.00911i
\(33\) 16423.5 13780.9i 0.0795548 0.0667544i
\(34\) −368663. 134182.i −1.60862 0.585490i
\(35\) −1111.98 + 404.726i −0.00438386 + 0.00159560i
\(36\) −149594. −0.534385
\(37\) 154786. 266408.i 0.502372 0.864651i
\(38\) −368657. −1.08988
\(39\) 21032.7 7655.28i 0.0567766 0.0206650i
\(40\) 20949.9 + 7625.15i 0.0517574 + 0.0188381i
\(41\) −5043.33 + 4231.86i −0.0114281 + 0.00958931i −0.648484 0.761228i \(-0.724597\pi\)
0.637056 + 0.770818i \(0.280152\pi\)
\(42\) −1223.58 6939.27i −0.00254836 0.0144524i
\(43\) 255512. 0.490086 0.245043 0.969512i \(-0.421198\pi\)
0.245043 + 0.969512i \(0.421198\pi\)
\(44\) −22634.0 128364.i −0.0400569 0.227174i
\(45\) 29311.3 50768.7i 0.0479504 0.0830524i
\(46\) −717574. 602116.i −1.08696 0.912070i
\(47\) 395251. + 684595.i 0.555303 + 0.961814i 0.997880 + 0.0650828i \(0.0207312\pi\)
−0.442577 + 0.896731i \(0.645936\pi\)
\(48\) −122886. + 212844.i −0.160382 + 0.277790i
\(49\) 772281. 281087.i 0.937754 0.341315i
\(50\) −840084. + 704915.i −0.950447 + 0.797520i
\(51\) 166630. + 288612.i 0.175897 + 0.304662i
\(52\) 23629.8 134011.i 0.0233050 0.132169i
\(53\) −72057.0 + 408656.i −0.0664830 + 0.377044i 0.933353 + 0.358959i \(0.116868\pi\)
−0.999836 + 0.0180853i \(0.994243\pi\)
\(54\) 553834. + 464722.i 0.478632 + 0.401620i
\(55\) 47998.7 + 17470.1i 0.0389010 + 0.0141588i
\(56\) 30072.9 + 10945.6i 0.0228832 + 0.00832880i
\(57\) 239892. + 201293.i 0.171575 + 0.143968i
\(58\) 137099. 777526.i 0.0922647 0.523259i
\(59\) 82367.8 467131.i 0.0522126 0.296112i −0.947508 0.319731i \(-0.896408\pi\)
0.999721 + 0.0236183i \(0.00751865\pi\)
\(60\) 12675.4 + 21954.4i 0.00757584 + 0.0131217i
\(61\) −116090. + 97411.4i −0.0654850 + 0.0549484i −0.674943 0.737870i \(-0.735832\pi\)
0.609458 + 0.792819i \(0.291387\pi\)
\(62\) −29563.0 + 10760.1i −0.0157535 + 0.00573381i
\(63\) 42075.4 72876.7i 0.0212000 0.0367195i
\(64\) 42080.4 + 72885.5i 0.0200655 + 0.0347545i
\(65\) 40850.4 + 34277.6i 0.0184501 + 0.0154815i
\(66\) −152078. + 263407.i −0.0651123 + 0.112778i
\(67\) −544529. 3.08818e6i −0.221187 1.25441i −0.869842 0.493330i \(-0.835779\pi\)
0.648656 0.761082i \(-0.275332\pi\)
\(68\) 2.02611e6 0.781417
\(69\) 138173. + 783618.i 0.0506350 + 0.287166i
\(70\) 12860.2 10791.0i 0.00448132 0.00376027i
\(71\) 1.47143e6 + 535556.i 0.487904 + 0.177583i 0.574246 0.818683i \(-0.305295\pi\)
−0.0863415 + 0.996266i \(0.527518\pi\)
\(72\) −1.48981e6 + 542247.i −0.470400 + 0.171212i
\(73\) 1.58630e6 0.477261 0.238631 0.971110i \(-0.423302\pi\)
0.238631 + 0.971110i \(0.423302\pi\)
\(74\) −770834. + 4.30261e6i −0.221131 + 1.23430i
\(75\) 931556. 0.254973
\(76\) 1.78907e6 651170.i 0.467499 0.170156i
\(77\) 68900.5 + 25077.7i 0.0171991 + 0.00625995i
\(78\) −243248. + 204109.i −0.0580388 + 0.0487003i
\(79\) −243354. 1.38013e6i −0.0555321 0.314938i 0.944371 0.328883i \(-0.106672\pi\)
−0.999903 + 0.0139447i \(0.995561\pi\)
\(80\) −585549. −0.127864
\(81\) 668757. + 3.79271e6i 0.139820 + 0.792961i
\(82\) 46700.3 80887.2i 0.00935343 0.0162006i
\(83\) 2.45831e6 + 2.06277e6i 0.471914 + 0.395983i 0.847492 0.530808i \(-0.178111\pi\)
−0.375578 + 0.926791i \(0.622556\pi\)
\(84\) 18195.0 + 31514.7i 0.00334946 + 0.00580144i
\(85\) −396996. + 687618.i −0.0701165 + 0.121445i
\(86\) −3.40630e6 + 1.23979e6i −0.577482 + 0.210186i
\(87\) −513756. + 431093.i −0.0836450 + 0.0701865i
\(88\) −690707. 1.19634e6i −0.108045 0.187139i
\(89\) 690457. 3.91578e6i 0.103818 0.588780i −0.887868 0.460098i \(-0.847814\pi\)
0.991686 0.128682i \(-0.0410746\pi\)
\(90\) −144418. + 819036.i −0.0208820 + 0.118428i
\(91\) 58639.3 + 49204.2i 0.00815725 + 0.00684475i
\(92\) 4.54589e6 + 1.65457e6i 0.608642 + 0.221527i
\(93\) 25112.4 + 9140.17i 0.00323741 + 0.00117832i
\(94\) −8.59098e6 7.20869e6i −1.06683 0.895176i
\(95\) −129558. + 734761.i −0.0155036 + 0.0879252i
\(96\) 397471. 2.25417e6i 0.0458518 0.260039i
\(97\) −7.47611e6 1.29490e7i −0.831715 1.44057i −0.896677 0.442685i \(-0.854026\pi\)
0.0649624 0.997888i \(-0.479307\pi\)
\(98\) −8.93160e6 + 7.49451e6i −0.958602 + 0.804362i
\(99\) −3.41333e6 + 1.24235e6i −0.353554 + 0.128683i
\(100\) 2.83178e6 4.90478e6i 0.283178 0.490478i
\(101\) 639214. + 1.10715e6i 0.0617335 + 0.106926i 0.895240 0.445584i \(-0.147004\pi\)
−0.833507 + 0.552509i \(0.813670\pi\)
\(102\) −3.62179e6 3.03904e6i −0.337927 0.283554i
\(103\) 3.26090e6 5.64804e6i 0.294040 0.509293i −0.680721 0.732543i \(-0.738333\pi\)
0.974761 + 0.223250i \(0.0716666\pi\)
\(104\) −250433. 1.42028e6i −0.0218311 0.123810i
\(105\) −14260.5 −0.00120219
\(106\) −1.02226e6 5.79754e6i −0.0833665 0.472795i
\(107\) −9.37579e6 + 7.86722e6i −0.739886 + 0.620838i −0.932807 0.360377i \(-0.882648\pi\)
0.192921 + 0.981214i \(0.438204\pi\)
\(108\) −3.50858e6 1.27702e6i −0.268009 0.0975472i
\(109\) 8.19879e6 2.98412e6i 0.606397 0.220711i −0.0205288 0.999789i \(-0.506535\pi\)
0.626926 + 0.779079i \(0.284313\pi\)
\(110\) −724653. −0.0519105
\(111\) 2.85090e6 2.37890e6i 0.197857 0.165100i
\(112\) −840536. −0.0565318
\(113\) 9.32228e6 3.39303e6i 0.607782 0.221214i −0.0197506 0.999805i \(-0.506287\pi\)
0.627532 + 0.778590i \(0.284065\pi\)
\(114\) −4.17478e6 1.51950e6i −0.263917 0.0960578i
\(115\) −1.45224e6 + 1.21858e6i −0.0890424 + 0.0747155i
\(116\) 708034. + 4.01546e6i 0.0421164 + 0.238854i
\(117\) −3.79220e6 −0.218897
\(118\) 1.16854e6 + 6.62712e6i 0.0654721 + 0.371311i
\(119\) −569874. + 987051.i −0.0310002 + 0.0536939i
\(120\) 205815. + 172699.i 0.0108728 + 0.00912337i
\(121\) 8.16110e6 + 1.41354e7i 0.418793 + 0.725371i
\(122\) 1.07497e6 1.86191e6i 0.0535968 0.0928323i
\(123\) −74554.7 + 27135.7i −0.00361249 + 0.00131484i
\(124\) 124462. 104436.i 0.00586221 0.00491898i
\(125\) 2.23126e6 + 3.86466e6i 0.102180 + 0.176981i
\(126\) −207307. + 1.17570e6i −0.00923246 + 0.0523599i
\(127\) 3.06004e6 1.73543e7i 0.132560 0.751787i −0.843967 0.536395i \(-0.819786\pi\)
0.976528 0.215392i \(-0.0691031\pi\)
\(128\) 1.77094e7 + 1.48600e7i 0.746395 + 0.626300i
\(129\) 2.89350e6 + 1.05315e6i 0.118675 + 0.0431942i
\(130\) −710909. 258750.i −0.0283800 0.0103295i
\(131\) 2.78973e7 + 2.34086e7i 1.08421 + 0.909759i 0.996263 0.0863668i \(-0.0275257\pi\)
0.0879446 + 0.996125i \(0.471970\pi\)
\(132\) 272764. 1.54692e6i 0.0103224 0.0585410i
\(133\) −185976. + 1.05472e6i −0.00685451 + 0.0388739i
\(134\) 2.22437e7 + 3.85272e7i 0.798619 + 1.38325i
\(135\) 1.12086e6 940515.i 0.0392089 0.0329001i
\(136\) 2.01782e7 7.34425e6i 0.687853 0.250358i
\(137\) −1.82604e7 + 3.16280e7i −0.606721 + 1.05087i 0.385056 + 0.922893i \(0.374182\pi\)
−0.991777 + 0.127979i \(0.959151\pi\)
\(138\) −5.64428e6 9.77618e6i −0.182823 0.316659i
\(139\) 2.87881e7 + 2.41561e7i 0.909203 + 0.762912i 0.971967 0.235116i \(-0.0755471\pi\)
−0.0627639 + 0.998028i \(0.519992\pi\)
\(140\) −43349.6 + 75083.8i −0.00133517 + 0.00231259i
\(141\) 1.65424e6 + 9.38166e6i 0.0496972 + 0.281847i
\(142\) −2.22146e7 −0.651073
\(143\) −573772. 3.25403e6i −0.0164083 0.0930561i
\(144\) 3.18982e7 2.67658e7i 0.890221 0.746984i
\(145\) −1.50149e6 546497.i −0.0409010 0.0148867i
\(146\) −2.11474e7 + 7.69704e6i −0.562371 + 0.204686i
\(147\) 9.90411e6 0.257161
\(148\) −3.85901e6 2.22419e7i −0.0978497 0.563970i
\(149\) −2.01646e7 −0.499388 −0.249694 0.968325i \(-0.580330\pi\)
−0.249694 + 0.968325i \(0.580330\pi\)
\(150\) −1.24188e7 + 4.52008e6i −0.300442 + 0.109352i
\(151\) −2.86987e7 1.04455e7i −0.678332 0.246893i −0.0202011 0.999796i \(-0.506431\pi\)
−0.658131 + 0.752903i \(0.728653\pi\)
\(152\) 1.54571e7 1.29701e7i 0.357006 0.299564i
\(153\) −9.80472e6 5.56053e7i −0.221317 1.25515i
\(154\) −1.04021e6 −0.0229509
\(155\) 11056.2 + 62702.8i 0.000238476 + 0.00135246i
\(156\) 819947. 1.42019e6i 0.0172922 0.0299509i
\(157\) −4.17116e7 3.50002e7i −0.860218 0.721808i 0.101797 0.994805i \(-0.467541\pi\)
−0.962015 + 0.272997i \(0.911985\pi\)
\(158\) 9.94088e6 + 1.72181e7i 0.200505 + 0.347285i
\(159\) −2.50036e6 + 4.33074e6i −0.0493301 + 0.0854422i
\(160\) 5.12453e6 1.86518e6i 0.0989086 0.0359998i
\(161\) −2.08464e6 + 1.74922e6i −0.0393678 + 0.0330335i
\(162\) −2.73183e7 4.73167e7i −0.504837 0.874404i
\(163\) 4.22885e6 2.39830e7i 0.0764831 0.433757i −0.922388 0.386264i \(-0.873765\pi\)
0.998872 0.0474937i \(-0.0151234\pi\)
\(164\) −83760.6 + 475030.i −0.00148281 + 0.00840945i
\(165\) 471546. + 395674.i 0.00817203 + 0.00685715i
\(166\) −4.27813e7 1.55711e7i −0.725898 0.264205i
\(167\) −8.43782e7 3.07111e7i −1.40192 0.510256i −0.473171 0.880971i \(-0.656891\pi\)
−0.928747 + 0.370714i \(0.879113\pi\)
\(168\) 295440. + 247903.i 0.00480713 + 0.00403366i
\(169\) −1.02972e7 + 5.83980e7i −0.164102 + 0.930668i
\(170\) 1.95602e6 1.10931e7i 0.0305352 0.173174i
\(171\) −2.65285e7 4.59488e7i −0.405721 0.702729i
\(172\) 1.43407e7 1.20333e7i 0.214893 0.180317i
\(173\) 1.19166e7 4.33728e6i 0.174981 0.0636878i −0.253044 0.967455i \(-0.581432\pi\)
0.428025 + 0.903767i \(0.359210\pi\)
\(174\) 4.75729e6 8.23986e6i 0.0684600 0.118576i
\(175\) 1.59296e6 + 2.75908e6i 0.0224683 + 0.0389163i
\(176\) 2.77936e7 + 2.33216e7i 0.384282 + 0.322451i
\(177\) 2.85814e6 4.95044e6i 0.0387415 0.0671023i
\(178\) 9.79541e6 + 5.55525e7i 0.130183 + 0.738302i
\(179\) 6.25523e6 0.0815188 0.0407594 0.999169i \(-0.487022\pi\)
0.0407594 + 0.999169i \(0.487022\pi\)
\(180\) −745834. 4.22983e6i −0.00953209 0.0540592i
\(181\) −6.26423e7 + 5.25632e7i −0.785223 + 0.658880i −0.944558 0.328344i \(-0.893509\pi\)
0.159335 + 0.987225i \(0.449065\pi\)
\(182\) −1.02048e6 371426.i −0.0125475 0.00456691i
\(183\) −1.71614e6 + 624625.i −0.0207002 + 0.00753426i
\(184\) 5.12702e7 0.606740
\(185\) 8.30453e6 + 3.04841e6i 0.0964304 + 0.0353975i
\(186\) −379130. −0.00432009
\(187\) 4.62306e7 1.68266e7i 0.516992 0.188170i
\(188\) 5.44245e7 + 1.98089e7i 0.597368 + 0.217424i
\(189\) 1.60896e6 1.35008e6i 0.0173352 0.0145459i
\(190\) −1.83802e6 1.04239e7i −0.0194408 0.110254i
\(191\) 1.47167e7 0.152825 0.0764126 0.997076i \(-0.475653\pi\)
0.0764126 + 0.997076i \(0.475653\pi\)
\(192\) 176119. + 998820.i 0.00179577 + 0.0101843i
\(193\) −8.43818e7 + 1.46154e8i −0.844887 + 1.46339i 0.0408329 + 0.999166i \(0.486999\pi\)
−0.885720 + 0.464221i \(0.846334\pi\)
\(194\) 1.62497e8 + 1.36351e8i 1.59786 + 1.34077i
\(195\) 321320. + 556543.i 0.00310325 + 0.00537499i
\(196\) 3.01069e7 5.21466e7i 0.285607 0.494687i
\(197\) −1.09706e8 + 3.99296e7i −1.02234 + 0.372103i −0.798161 0.602444i \(-0.794194\pi\)
−0.224183 + 0.974547i \(0.571971\pi\)
\(198\) 3.94759e7 3.31243e7i 0.361414 0.303262i
\(199\) −2.73641e7 4.73961e7i −0.246148 0.426341i 0.716306 0.697786i \(-0.245832\pi\)
−0.962454 + 0.271446i \(0.912498\pi\)
\(200\) 1.04230e7 5.91116e7i 0.0921269 0.522478i
\(201\) 6.56216e6 3.72158e7i 0.0569981 0.323252i
\(202\) −1.38936e7 1.16581e7i −0.118600 0.0995175i
\(203\) −2.15533e6 784477.i −0.0180833 0.00658179i
\(204\) 2.29443e7 + 8.35106e6i 0.189221 + 0.0688709i
\(205\) −144802. 121504.i −0.00117392 0.000985033i
\(206\) −1.60666e7 + 9.11181e7i −0.128053 + 0.726222i
\(207\) 2.34102e7 1.32766e8i 0.183446 1.04037i
\(208\) 1.89391e7 + 3.28035e7i 0.145928 + 0.252754i
\(209\) 3.54141e7 2.97159e7i 0.268327 0.225153i
\(210\) 190111. 69194.7i 0.00141657 0.000515591i
\(211\) −9.61303e6 + 1.66503e7i −0.0704485 + 0.122020i −0.899098 0.437748i \(-0.855776\pi\)
0.828649 + 0.559768i \(0.189110\pi\)
\(212\) 1.52014e7 + 2.63295e7i 0.109574 + 0.189787i
\(213\) 1.44555e7 + 1.21296e7i 0.102495 + 0.0860038i
\(214\) 8.68180e7 1.50373e8i 0.605566 1.04887i
\(215\) 1.27391e6 + 7.22473e6i 0.00874190 + 0.0495778i
\(216\) −3.95711e7 −0.267171
\(217\) 15870.8 + 90007.6i 0.000105436 + 0.000597957i
\(218\) −9.48209e7 + 7.95642e7i −0.619878 + 0.520140i
\(219\) 1.79638e7 + 6.53828e6i 0.115569 + 0.0420638i
\(220\) 3.51671e6 1.27998e6i 0.0222667 0.00810443i
\(221\) 5.13620e7 0.320088
\(222\) −2.64633e7 + 4.55469e7i −0.162333 + 0.279398i
\(223\) 1.42242e8 0.858934 0.429467 0.903083i \(-0.358701\pi\)
0.429467 + 0.903083i \(0.358701\pi\)
\(224\) 7.35608e6 2.67740e6i 0.0437299 0.0159164i
\(225\) −1.48312e8 5.39811e7i −0.868035 0.315939i
\(226\) −1.07814e8 + 9.04669e7i −0.621293 + 0.521327i
\(227\) −2.37925e7 1.34934e8i −0.135005 0.765652i −0.974856 0.222835i \(-0.928469\pi\)
0.839851 0.542817i \(-0.182642\pi\)
\(228\) 2.29439e7 0.128202
\(229\) 3.37318e7 + 1.91303e8i 0.185616 + 1.05268i 0.925161 + 0.379574i \(0.123929\pi\)
−0.739545 + 0.673107i \(0.764959\pi\)
\(230\) 1.34475e7 2.32917e7i 0.0728776 0.126228i
\(231\) 676887. + 567976.i 0.00361305 + 0.00303171i
\(232\) 2.16066e7 + 3.74237e7i 0.113600 + 0.196761i
\(233\) 4.59598e7 7.96046e7i 0.238030 0.412280i −0.722119 0.691769i \(-0.756832\pi\)
0.960149 + 0.279489i \(0.0901649\pi\)
\(234\) 5.05548e7 1.84005e7i 0.257933 0.0938800i
\(235\) −1.73866e7 + 1.45891e7i −0.0873932 + 0.0733316i
\(236\) −1.73765e7 3.00971e7i −0.0860541 0.149050i
\(237\) 2.93268e6 1.66321e7i 0.0143102 0.0811572i
\(238\) 2.80779e6 1.59238e7i 0.0135004 0.0765644i
\(239\) 2.96179e8 + 2.48524e8i 1.40334 + 1.17754i 0.959596 + 0.281383i \(0.0907930\pi\)
0.443740 + 0.896156i \(0.353651\pi\)
\(240\) −6.63094e6 2.41346e6i −0.0309625 0.0112694i
\(241\) −6.22812e7 2.26685e7i −0.286614 0.104319i 0.194713 0.980860i \(-0.437623\pi\)
−0.481326 + 0.876541i \(0.659845\pi\)
\(242\) −1.77386e8 1.48844e8i −0.804571 0.675115i
\(243\) −2.74127e7 + 1.55465e8i −0.122555 + 0.695042i
\(244\) −1.92805e6 + 1.09345e7i −0.00849678 + 0.0481876i
\(245\) 1.17983e7 + 2.04352e7i 0.0512551 + 0.0887764i
\(246\) 862241. 723506.i 0.00369280 0.00309863i
\(247\) 4.53530e7 1.65071e7i 0.191499 0.0697000i
\(248\) 860964. 1.49123e6i 0.00358430 0.00620819i
\(249\) 1.93365e7 + 3.34918e7i 0.0793744 + 0.137480i
\(250\) −4.84977e7 4.06944e7i −0.196305 0.164719i
\(251\) 1.67176e8 2.89558e8i 0.667293 1.15579i −0.311365 0.950290i \(-0.600786\pi\)
0.978658 0.205495i \(-0.0658806\pi\)
\(252\) −1.07062e6 6.07178e6i −0.00421437 0.0239009i
\(253\) 1.17466e8 0.456027
\(254\) 4.34123e7 + 2.46203e8i 0.166224 + 0.942705i
\(255\) −7.32986e6 + 6.15049e6i −0.0276825 + 0.0232284i
\(256\) −3.18315e8 1.15857e8i −1.18582 0.431602i
\(257\) −2.41820e8 + 8.80152e7i −0.888640 + 0.323438i −0.745691 0.666292i \(-0.767881\pi\)
−0.142949 + 0.989730i \(0.545658\pi\)
\(258\) −4.36841e7 −0.158363
\(259\) 1.19209e7 + 4.37589e6i 0.0426342 + 0.0156501i
\(260\) 3.90705e6 0.0137861
\(261\) 1.06775e8 3.88630e7i 0.371731 0.135299i
\(262\) −4.85490e8 1.76704e8i −1.66773 0.607004i
\(263\) 2.13240e7 1.78929e7i 0.0722808 0.0606508i −0.605931 0.795517i \(-0.707199\pi\)
0.678212 + 0.734866i \(0.262755\pi\)
\(264\) −2.89081e6 1.63946e7i −0.00966954 0.0548387i
\(265\) −1.19142e7 −0.0393282
\(266\) −2.63842e6 1.49632e7i −0.00859523 0.0487460i
\(267\) 2.39586e7 4.14976e7i 0.0770323 0.133424i
\(268\) −1.75999e8 1.47681e8i −0.558520 0.468654i
\(269\) 2.20442e8 + 3.81816e8i 0.690495 + 1.19597i 0.971676 + 0.236318i \(0.0759407\pi\)
−0.281180 + 0.959655i \(0.590726\pi\)
\(270\) −1.03790e7 + 1.79769e7i −0.0320908 + 0.0555830i
\(271\) 3.74844e8 1.36432e8i 1.14408 0.416412i 0.300697 0.953720i \(-0.402781\pi\)
0.843386 + 0.537308i \(0.180559\pi\)
\(272\) −4.32033e8 + 3.62519e8i −1.30174 + 1.09229i
\(273\) 461244. + 798898.i 0.00137202 + 0.00237641i
\(274\) 8.99699e7 5.10245e8i 0.264223 1.49848i
\(275\) 2.38802e7 1.35432e8i 0.0692428 0.392695i
\(276\) 4.46594e7 + 3.74737e7i 0.127859 + 0.107286i
\(277\) −1.32385e8 4.81841e7i −0.374247 0.136215i 0.148047 0.988980i \(-0.452701\pi\)
−0.522294 + 0.852766i \(0.674924\pi\)
\(278\) −5.00992e8 1.82346e8i −1.39854 0.509026i
\(279\) −3.46847e6 2.91039e6i −0.00956144 0.00802300i
\(280\) −159558. + 904896.i −0.000434375 + 0.00246346i
\(281\) 1.18403e7 6.71497e7i 0.0318340 0.180539i −0.964745 0.263187i \(-0.915226\pi\)
0.996579 + 0.0826474i \(0.0263375\pi\)
\(282\) −6.75747e7 1.17043e8i −0.179437 0.310794i
\(283\) 3.67769e8 3.08594e8i 0.964544 0.809349i −0.0171423 0.999853i \(-0.505457\pi\)
0.981686 + 0.190505i \(0.0610124\pi\)
\(284\) 1.07807e8 3.92384e7i 0.279274 0.101648i
\(285\) −4.49563e6 + 7.78665e6i −0.0115036 + 0.0199248i
\(286\) 2.34383e7 + 4.05963e7i 0.0592440 + 0.102614i
\(287\) −207859. 174414.i −0.000519017 0.000435507i
\(288\) −1.93904e8 + 3.35852e8i −0.478314 + 0.828465i
\(289\) 6.15417e7 + 3.49021e8i 0.149978 + 0.850567i
\(290\) 2.26685e7 0.0545794
\(291\) −3.12897e7 1.77453e8i −0.0744348 0.422141i
\(292\) 8.90320e7 7.47067e7i 0.209270 0.175598i
\(293\) −5.14726e8 1.87345e8i −1.19547 0.435116i −0.333830 0.942633i \(-0.608341\pi\)
−0.861641 + 0.507517i \(0.830563\pi\)
\(294\) −1.32034e8 + 4.80566e7i −0.303020 + 0.110290i
\(295\) 1.36190e7 0.0308865
\(296\) −1.19054e8 2.07520e8i −0.266824 0.465092i
\(297\) −9.06620e7 −0.200807
\(298\) 2.68820e8 9.78424e7i 0.588443 0.214176i
\(299\) 1.15238e8 + 4.19433e7i 0.249315 + 0.0907431i
\(300\) 5.22840e7 4.38715e7i 0.111801 0.0938119i
\(301\) 1.82866e6 + 1.03708e7i 0.00386500 + 0.0219195i
\(302\) 4.33273e8 0.905186
\(303\) 2.67530e6 + 1.51724e7i 0.00552488 + 0.0313331i
\(304\) −2.64979e8 + 4.58957e8i −0.540946 + 0.936946i
\(305\) −3.33315e6 2.79684e6i −0.00672675 0.00564441i
\(306\) 4.00517e8 + 6.93716e8i 0.799090 + 1.38407i
\(307\) 4.56739e8 7.91095e8i 0.900915 1.56043i 0.0746053 0.997213i \(-0.476230\pi\)
0.826309 0.563217i \(-0.190436\pi\)
\(308\) 5.04811e6 1.83736e6i 0.00984467 0.00358317i
\(309\) 6.02070e7 5.05197e7i 0.116089 0.0974105i
\(310\) −451639. 782261.i −0.000861044 0.00149137i
\(311\) 3.50994e6 1.99058e7i 0.00661665 0.0375249i −0.981321 0.192379i \(-0.938380\pi\)
0.987937 + 0.154854i \(0.0494908\pi\)
\(312\) 3.01799e6 1.71159e7i 0.00562570 0.0319050i
\(313\) 5.89167e8 + 4.94370e8i 1.08601 + 0.911269i 0.996406 0.0847084i \(-0.0269959\pi\)
0.0896025 + 0.995978i \(0.471440\pi\)
\(314\) 7.25897e8 + 2.64205e8i 1.32319 + 0.481601i
\(315\) 2.27040e6 + 826358.i 0.00409275 + 0.00148964i
\(316\) −7.86555e7 6.59998e7i −0.140225 0.117662i
\(317\) −1.39519e8 + 7.91251e8i −0.245995 + 1.39510i 0.572177 + 0.820130i \(0.306099\pi\)
−0.818171 + 0.574975i \(0.805012\pi\)
\(318\) 1.23194e7 6.98665e7i 0.0214829 0.121836i
\(319\) 4.95032e7 + 8.57420e7i 0.0853819 + 0.147886i
\(320\) −1.85107e6 + 1.55323e6i −0.00315790 + 0.00264979i
\(321\) −1.38601e8 + 5.04465e7i −0.233882 + 0.0851263i
\(322\) 1.93034e7 3.34345e7i 0.0322209 0.0558083i
\(323\) 3.59306e8 + 6.22336e8i 0.593274 + 1.02758i
\(324\) 2.16151e8 + 1.81373e8i 0.353062 + 0.296254i
\(325\) 7.17856e7 1.24336e8i 0.115997 0.200912i
\(326\) 5.99941e7 + 3.40243e8i 0.0959062 + 0.543911i
\(327\) 1.05145e8 0.166293
\(328\) 887711. + 5.03446e6i 0.00138904 + 0.00787761i
\(329\) −2.49579e7 + 2.09421e7i −0.0386387 + 0.0324217i
\(330\) −8.20619e6 2.98681e6i −0.0125702 0.00457518i
\(331\) −1.10385e9 + 4.01768e8i −1.67306 + 0.608944i −0.992333 0.123593i \(-0.960558\pi\)
−0.680727 + 0.732537i \(0.738336\pi\)
\(332\) 2.35120e8 0.352619
\(333\) −5.91739e8 + 2.13540e8i −0.878164 + 0.316902i
\(334\) 1.27388e9 1.87076
\(335\) 8.46048e7 3.07936e7i 0.122953 0.0447511i
\(336\) −9.51848e6 3.46444e6i −0.0136893 0.00498248i
\(337\) −4.14567e8 + 3.47863e8i −0.590052 + 0.495113i −0.888231 0.459398i \(-0.848065\pi\)
0.298179 + 0.954510i \(0.403621\pi\)
\(338\) −1.46084e8 8.28484e8i −0.205776 1.16701i
\(339\) 1.19553e8 0.166672
\(340\) 1.01017e7 + 5.72894e7i 0.0139385 + 0.0790492i
\(341\) 1.97257e6 3.41659e6i 0.00269397 0.00466609i
\(342\) 5.76611e8 + 4.83834e8i 0.779456 + 0.654042i
\(343\) 3.39070e7 + 5.87286e7i 0.0453690 + 0.0785815i
\(344\) 9.92018e7 1.71823e8i 0.131391 0.227576i
\(345\) −2.14683e7 + 7.81381e6i −0.0281469 + 0.0102446i
\(346\) −1.37818e8 + 1.15643e8i −0.178871 + 0.150090i
\(347\) −6.13724e8 1.06300e9i −0.788533 1.36578i −0.926865 0.375394i \(-0.877508\pi\)
0.138332 0.990386i \(-0.455826\pi\)
\(348\) −8.53257e6 + 4.83906e7i −0.0108531 + 0.0615508i
\(349\) 7.81157e7 4.43016e8i 0.0983670 0.557867i −0.895297 0.445471i \(-0.853036\pi\)
0.993663 0.112396i \(-0.0358525\pi\)
\(350\) −3.46237e7 2.90528e7i −0.0431654 0.0362201i
\(351\) −8.89426e7 3.23724e7i −0.109783 0.0399577i
\(352\) −3.17527e8 1.15571e8i −0.388045 0.141237i
\(353\) −1.22634e9 1.02902e9i −1.48388 1.24512i −0.901918 0.431908i \(-0.857841\pi\)
−0.581962 0.813216i \(-0.697715\pi\)
\(354\) −1.40822e7 + 7.98638e7i −0.0168717 + 0.0956839i
\(355\) −7.80696e6 + 4.42754e7i −0.00926152 + 0.0525247i
\(356\) −1.45661e8 2.52292e8i −0.171107 0.296366i
\(357\) −1.05218e7 + 8.82881e6i −0.0122391 + 0.0102698i
\(358\) −8.33902e7 + 3.03515e7i −0.0960560 + 0.0349615i
\(359\) 5.26028e8 9.11107e8i 0.600037 1.03929i −0.392778 0.919633i \(-0.628486\pi\)
0.992815 0.119661i \(-0.0381808\pi\)
\(360\) −2.27601e7 3.94216e7i −0.0257108 0.0445323i
\(361\) −1.67465e8 1.40520e8i −0.187348 0.157203i
\(362\) 5.80056e8 1.00469e9i 0.642673 1.11314i
\(363\) 3.41566e7 + 1.93712e8i 0.0374801 + 0.212560i
\(364\) 5.60843e6 0.00609518
\(365\) 7.90887e6 + 4.48535e7i 0.00851314 + 0.0482804i
\(366\) 1.98476e7 1.66541e7i 0.0211604 0.0177557i
\(367\) −1.20707e9 4.39339e8i −1.27468 0.463947i −0.386014 0.922493i \(-0.626148\pi\)
−0.888671 + 0.458546i \(0.848371\pi\)
\(368\) −1.26537e9 + 4.60558e8i −1.32358 + 0.481744i
\(369\) 1.34422e7 0.0139277
\(370\) −1.25501e8 344059.i −0.128808 0.000353124i
\(371\) −1.71024e7 −0.0173880
\(372\) 1.83990e6 669670.i 0.00185308 0.000674466i
\(373\) −1.40149e9 5.10102e8i −1.39833 0.508951i −0.470649 0.882320i \(-0.655980\pi\)
−0.927683 + 0.373369i \(0.878202\pi\)
\(374\) −5.34667e8 + 4.48639e8i −0.528485 + 0.443452i
\(375\) 9.33850e6 + 5.29613e7i 0.00914466 + 0.0518619i
\(376\) 6.13820e8 0.595502
\(377\) 1.79487e7 + 1.01792e8i 0.0172519 + 0.0978404i
\(378\) −1.48986e7 + 2.58052e7i −0.0141881 + 0.0245746i
\(379\) 1.32083e9 + 1.10831e9i 1.24626 + 1.04574i 0.997008 + 0.0773025i \(0.0246307\pi\)
0.249257 + 0.968437i \(0.419814\pi\)
\(380\) 2.73320e7 + 4.73403e7i 0.0255522 + 0.0442577i
\(381\) 1.06182e8 1.83913e8i 0.0983591 0.170363i
\(382\) −1.96193e8 + 7.14084e7i −0.180078 + 0.0655431i
\(383\) 4.50734e8 3.78211e8i 0.409945 0.343984i −0.414378 0.910105i \(-0.636001\pi\)
0.824322 + 0.566121i \(0.191556\pi\)
\(384\) 1.39298e8 + 2.41272e8i 0.125541 + 0.217444i
\(385\) −365565. + 2.07322e6i −0.000326477 + 0.00185154i
\(386\) 4.15753e8 2.35785e9i 0.367942 2.08670i
\(387\) −3.99644e8 3.35341e8i −0.350497 0.294102i
\(388\) −1.02943e9 3.74683e8i −0.894719 0.325651i
\(389\) −1.44570e9 5.26191e8i −1.24524 0.453231i −0.366451 0.930437i \(-0.619427\pi\)
−0.878791 + 0.477206i \(0.841649\pi\)
\(390\) −6.98406e6 5.86032e6i −0.00596186 0.00500259i
\(391\) −3.17070e8 + 1.79819e9i −0.268248 + 1.52131i
\(392\) 1.10815e8 6.28462e8i 0.0929173 0.526960i
\(393\) 2.19434e8 + 3.80071e8i 0.182360 + 0.315857i
\(394\) 1.26877e9 1.06462e9i 1.04507 0.876920i
\(395\) 3.78106e7 1.37619e7i 0.0308691 0.0112354i
\(396\) −1.33067e8 + 2.30478e8i −0.107680 + 0.186508i
\(397\) 1.13788e9 + 1.97086e9i 0.912701 + 1.58084i 0.810233 + 0.586108i \(0.199340\pi\)
0.102467 + 0.994736i \(0.467326\pi\)
\(398\) 5.94774e8 + 4.99074e8i 0.472891 + 0.396803i
\(399\) −6.45331e6 + 1.11775e7i −0.00508601 + 0.00880924i
\(400\) 2.73753e8 + 1.55253e9i 0.213869 + 1.21291i
\(401\) −6.46702e8 −0.500840 −0.250420 0.968137i \(-0.580569\pi\)
−0.250420 + 0.968137i \(0.580569\pi\)
\(402\) 9.30963e7 + 5.27975e8i 0.0714729 + 0.405343i
\(403\) 3.15511e6 2.64745e6i 0.00240130 0.00201493i
\(404\) 8.80173e7 + 3.20357e7i 0.0664100 + 0.0241713i
\(405\) −1.03906e8 + 3.78188e7i −0.0777230 + 0.0282889i
\(406\) 3.25398e7 0.0241309
\(407\) −2.72768e8 4.75453e8i −0.200545 0.349564i
\(408\) 2.58775e8 0.188630
\(409\) 3.25137e8 1.18340e8i 0.234982 0.0855264i −0.221845 0.975082i \(-0.571208\pi\)
0.456827 + 0.889555i \(0.348986\pi\)
\(410\) 2.51996e6 + 917190.i 0.00180572 + 0.000657228i
\(411\) −3.37148e8 + 2.82901e8i −0.239538 + 0.200996i
\(412\) −8.29743e7 4.70571e8i −0.0584525 0.331501i
\(413\) 1.95496e7 0.0136557
\(414\) 3.32116e8 + 1.88353e9i 0.230032 + 1.30458i
\(415\) −4.60692e7 + 7.97942e7i −0.0316404 + 0.0548029i
\(416\) −2.70239e8 2.26757e8i −0.184044 0.154431i
\(417\) 2.26441e8 + 3.92207e8i 0.152925 + 0.264874i
\(418\) −3.27927e8 + 5.67987e8i −0.219614 + 0.380383i
\(419\) 1.86049e9 6.77162e8i 1.23560 0.449721i 0.360087 0.932919i \(-0.382747\pi\)
0.875511 + 0.483198i \(0.160525\pi\)
\(420\) −800378. + 671597.i −0.000527136 + 0.000442320i
\(421\) 4.83204e8 + 8.36934e8i 0.315605 + 0.546643i 0.979566 0.201124i \(-0.0644593\pi\)
−0.663961 + 0.747767i \(0.731126\pi\)
\(422\) 4.73638e7 2.68613e8i 0.0306798 0.173994i
\(423\) 2.80272e8 1.58950e9i 0.180048 1.02110i
\(424\) 2.46830e8 + 2.07115e8i 0.157260 + 0.131957i
\(425\) 2.00875e9 + 7.31127e8i 1.26930 + 0.461989i
\(426\) −2.51565e8 9.15622e7i −0.157658 0.0573829i
\(427\) −4.78462e6 4.01477e6i −0.00297406 0.00249553i
\(428\) −1.55715e8 + 8.83103e8i −0.0960013 + 0.544450i
\(429\) 6.91457e6 3.92145e7i 0.00422829 0.0239798i
\(430\) −5.20386e7 9.01336e7i −0.0315636 0.0546697i
\(431\) 1.35989e9 1.14108e9i 0.818151 0.686510i −0.134388 0.990929i \(-0.542907\pi\)
0.952538 + 0.304419i \(0.0984623\pi\)
\(432\) 9.76632e8 3.55465e8i 0.582824 0.212131i
\(433\) −2.38193e8 + 4.12562e8i −0.141001 + 0.244220i −0.927874 0.372895i \(-0.878365\pi\)
0.786873 + 0.617115i \(0.211699\pi\)
\(434\) −648312. 1.12291e6i −0.000380688 0.000659372i
\(435\) −1.47508e7 1.23774e7i −0.00859218 0.00720969i
\(436\) 3.19625e8 5.53606e8i 0.184688 0.319888i
\(437\) 2.97943e8 + 1.68972e9i 0.170784 + 0.968567i
\(438\) −2.71205e8 −0.154219
\(439\) 2.21790e8 + 1.25783e9i 0.125117 + 0.709572i 0.981238 + 0.192798i \(0.0617563\pi\)
−0.856122 + 0.516774i \(0.827133\pi\)
\(440\) 3.03834e7 2.54947e7i 0.0170040 0.0142681i
\(441\) −1.57682e9 5.73916e8i −0.875483 0.318650i
\(442\) −6.84721e8 + 2.49218e8i −0.377169 + 0.137278i
\(443\) −1.04206e9 −0.569480 −0.284740 0.958605i \(-0.591907\pi\)
−0.284740 + 0.958605i \(0.591907\pi\)
\(444\) 4.79741e7 2.67780e8i 0.0260116 0.145190i
\(445\) 1.14163e8 0.0614136
\(446\) −1.89626e9 + 6.90183e8i −1.01211 + 0.368377i
\(447\) −2.28350e8 8.31126e7i −0.120927 0.0440140i
\(448\) −2.65714e6 + 2.22961e6i −0.00139618 + 0.00117154i
\(449\) −3.83039e8 2.17232e9i −0.199701 1.13256i −0.905562 0.424213i \(-0.860551\pi\)
0.705861 0.708350i \(-0.250560\pi\)
\(450\) 2.23911e9 1.15833
\(451\) 2.03385e6 + 1.15345e7i 0.00104400 + 0.00592083i
\(452\) 3.63423e8 6.29467e8i 0.185109 0.320619i
\(453\) −2.81939e8 2.36575e8i −0.142499 0.119571i
\(454\) 9.71911e8 + 1.68340e9i 0.487451 + 0.844290i
\(455\) −1.09891e6 + 1.90337e6i −0.000546919 + 0.000947292i
\(456\) 2.28500e8 8.31671e7i 0.112852 0.0410747i
\(457\) −5.23524e8 + 4.39289e8i −0.256584 + 0.215300i −0.762001 0.647575i \(-0.775783\pi\)
0.505417 + 0.862875i \(0.331339\pi\)
\(458\) −1.37792e9 2.38663e9i −0.670187 1.16080i
\(459\) 2.44719e8 1.38787e9i 0.118120 0.669892i
\(460\) −2.41191e7 + 1.36786e8i −0.0115534 + 0.0655225i
\(461\) 1.47694e9 + 1.23930e9i 0.702117 + 0.589146i 0.922375 0.386296i \(-0.126246\pi\)
−0.220258 + 0.975442i \(0.570690\pi\)
\(462\) −1.17797e7 4.28746e6i −0.00555760 0.00202280i
\(463\) 3.74145e6 + 1.36178e6i 0.00175189 + 0.000637636i 0.342896 0.939373i \(-0.388592\pi\)
−0.341144 + 0.940011i \(0.610814\pi\)
\(464\) −8.69434e8 7.29542e8i −0.404040 0.339029i
\(465\) −133239. + 755636.i −6.14534e−5 + 0.000348520i
\(466\) −2.26446e8 + 1.28424e9i −0.103660 + 0.587888i
\(467\) −3.03174e7 5.25113e7i −0.0137747 0.0238585i 0.859056 0.511882i \(-0.171051\pi\)
−0.872831 + 0.488023i \(0.837718\pi\)
\(468\) −2.12839e8 + 1.78593e8i −0.0959822 + 0.0805386i
\(469\) 1.21447e8 4.42031e7i 0.0543604 0.0197856i
\(470\) 1.60997e8 2.78855e8i 0.0715278 0.123890i
\(471\) −3.28094e8 5.68276e8i −0.144686 0.250603i
\(472\) −2.82150e8 2.36752e8i −0.123504 0.103632i
\(473\) 2.27283e8 3.93666e8i 0.0987537 0.171046i
\(474\) 4.16055e7 + 2.35957e8i 0.0179443 + 0.101767i
\(475\) 2.00872e9 0.859987
\(476\) 1.45006e7 + 8.22368e7i 0.00616256 + 0.0349496i
\(477\) 6.49034e8 5.44604e8i 0.273812 0.229756i
\(478\) −5.15433e9 1.87602e9i −2.15861 0.785670i
\(479\) −3.53677e9 + 1.28728e9i −1.47039 + 0.535177i −0.948206 0.317656i \(-0.897104\pi\)
−0.522182 + 0.852834i \(0.674882\pi\)
\(480\) 6.57195e7 0.0271237
\(481\) −9.78258e7 5.63832e8i −0.0400816 0.231016i
\(482\) 9.40279e8 0.382465
\(483\) −3.08169e7 + 1.12164e7i −0.0124444 + 0.00452940i
\(484\) 1.12375e9 + 4.09012e8i 0.450518 + 0.163975i
\(485\) 3.28865e8 2.75951e8i 0.130895 0.109834i
\(486\) −3.88900e8 2.20556e9i −0.153678 0.871550i
\(487\) 3.30469e9 1.29652 0.648259 0.761419i \(-0.275497\pi\)
0.648259 + 0.761419i \(0.275497\pi\)
\(488\) 2.04339e7 + 1.15886e8i 0.00795942 + 0.0451401i
\(489\) 1.46740e8 2.54161e8i 0.0567501 0.0982941i
\(490\) −2.56441e8 2.15180e8i −0.0984695 0.0826257i
\(491\) 7.39270e8 + 1.28045e9i 0.281850 + 0.488178i 0.971840 0.235640i \(-0.0757187\pi\)
−0.689991 + 0.723818i \(0.742385\pi\)
\(492\) −2.90647e6 + 5.03415e6i −0.00110024 + 0.00190567i
\(493\) −1.44618e9 + 5.26365e8i −0.543572 + 0.197844i
\(494\) −5.24517e8 + 4.40122e8i −0.195756 + 0.164259i
\(495\) −5.21460e7 9.03196e7i −0.0193243 0.0334706i
\(496\) −7.85330e6 + 4.45383e7i −0.00288979 + 0.0163888i
\(497\) −1.12066e7 + 6.35558e7i −0.00409474 + 0.0232225i
\(498\) −4.20289e8 3.52664e8i −0.152491 0.127955i
\(499\) −2.74648e9 9.99637e8i −0.989520 0.360156i −0.203985 0.978974i \(-0.565389\pi\)
−0.785534 + 0.618818i \(0.787612\pi\)
\(500\) 3.07237e8 + 1.11825e8i 0.109920 + 0.0400077i
\(501\) −8.28942e8 6.95565e8i −0.294505 0.247119i
\(502\) −8.23685e8 + 4.67135e9i −0.290602 + 1.64808i
\(503\) −3.30370e8 + 1.87362e9i −0.115748 + 0.656437i 0.870630 + 0.491939i \(0.163712\pi\)
−0.986377 + 0.164498i \(0.947399\pi\)
\(504\) −3.26713e7 5.65883e7i −0.0113674 0.0196888i
\(505\) −2.81183e7 + 2.35940e7i −0.00971558 + 0.00815234i
\(506\) −1.56597e9 + 5.69968e8i −0.537350 + 0.195580i
\(507\) −3.57308e8 + 6.18875e8i −0.121763 + 0.210899i
\(508\) −6.45554e8 1.11813e9i −0.218479 0.378417i
\(509\) 1.41684e9 + 1.18887e9i 0.476221 + 0.399597i 0.849058 0.528300i \(-0.177170\pi\)
−0.372837 + 0.927897i \(0.621615\pi\)
\(510\) 6.78731e7 1.17560e8i 0.0226570 0.0392431i
\(511\) 1.13529e7 + 6.43855e7i 0.00376386 + 0.0213459i
\(512\) 1.84661e9 0.608036
\(513\) −2.29957e8 1.30415e9i −0.0752031 0.426498i
\(514\) 2.79670e9 2.34671e9i 0.908395 0.762234i
\(515\) 1.75959e8 + 6.40438e7i 0.0567657 + 0.0206610i
\(516\) 2.11997e8 7.71605e7i 0.0679290 0.0247241i
\(517\) 1.40633e9 0.447581
\(518\) −1.80153e8 493885.i −0.0569491 0.000156125i
\(519\) 1.52824e8 0.0479850
\(520\) 3.89105e7 1.41622e7i 0.0121354 0.00441693i
\(521\) 1.59242e8 + 5.79594e7i 0.0493317 + 0.0179553i 0.366568 0.930391i \(-0.380533\pi\)
−0.317236 + 0.948346i \(0.602755\pi\)
\(522\) −1.23488e9 + 1.03619e9i −0.379995 + 0.318854i
\(523\) −2.84504e8 1.61350e9i −0.0869626 0.493189i −0.996916 0.0784785i \(-0.974994\pi\)
0.909953 0.414711i \(-0.136117\pi\)
\(524\) 2.66818e9 0.810130
\(525\) 6.66699e6 + 3.78104e7i 0.00201082 + 0.0114039i
\(526\) −1.97456e8 + 3.42004e8i −0.0591589 + 0.102466i
\(527\) 4.69774e7 + 3.94187e7i 0.0139814 + 0.0117318i
\(528\) 2.18618e8 + 3.78658e8i 0.0646350 + 0.111951i
\(529\) −4.77425e8 + 8.26924e8i −0.140220 + 0.242868i
\(530\) 1.58831e8 5.78099e7i 0.0463416 0.0168670i
\(531\) −7.41905e8 + 6.22532e8i −0.215039 + 0.180439i
\(532\) 3.92341e7 + 6.79554e7i 0.0112972 + 0.0195674i
\(533\) −2.12333e6 + 1.20420e7i −0.000607397 + 0.00344472i
\(534\) −1.18045e8 + 6.69468e8i −0.0335470 + 0.190255i
\(535\) −2.69195e8 2.25881e8i −0.0760025 0.0637737i
\(536\) −2.28810e9 8.32799e8i −0.641797 0.233595i
\(537\) 7.08361e7 + 2.57822e7i 0.0197399 + 0.00718473i
\(538\) −4.79141e9 4.02047e9i −1.32656 1.11311i
\(539\) 2.53890e8 1.43988e9i 0.0698369 0.396064i
\(540\) 1.86155e7 1.05574e8i 0.00508741 0.0288521i
\(541\) −3.10543e9 5.37877e9i −0.843202 1.46047i −0.887174 0.461436i \(-0.847334\pi\)
0.0439716 0.999033i \(-0.485999\pi\)
\(542\) −4.33515e9 + 3.63762e9i −1.16952 + 0.981341i
\(543\) −9.26031e8 + 3.37048e8i −0.248214 + 0.0903425i
\(544\) 2.62626e9 4.54882e9i 0.699426 1.21144i
\(545\) 1.25254e8 + 2.16947e8i 0.0331440 + 0.0574071i
\(546\) −1.00254e7 8.41228e6i −0.00263588 0.00221177i
\(547\) 2.32745e9 4.03125e9i 0.608029 1.05314i −0.383536 0.923526i \(-0.625294\pi\)
0.991565 0.129611i \(-0.0413727\pi\)
\(548\) 4.64641e8 + 2.63511e9i 0.120611 + 0.684017i
\(549\) 3.09421e8 0.0798080
\(550\) 3.38785e8 + 1.92135e9i 0.0868271 + 0.492421i
\(551\) −1.10782e9 + 9.29568e8i −0.282122 + 0.236729i
\(552\) 5.80599e8 + 2.11321e8i 0.146923 + 0.0534756i
\(553\) 5.42757e7 1.97548e7i 0.0136480 0.00496745i
\(554\) 1.99865e9 0.499406
\(555\) 8.14784e7 + 6.87500e7i 0.0202310 + 0.0170705i
\(556\) 2.75337e9 0.679365
\(557\) 3.62859e9 1.32070e9i 0.889703 0.323826i 0.143584 0.989638i \(-0.454137\pi\)
0.746119 + 0.665812i \(0.231915\pi\)
\(558\) 6.03609e7 + 2.19696e7i 0.0147074 + 0.00535306i
\(559\) 3.63538e8 3.05044e8i 0.0880254 0.0738621i
\(560\) −4.19068e6 2.37665e7i −0.00100839 0.00571884i
\(561\) 5.92883e8 0.141775
\(562\) 1.67977e8 + 9.52643e8i 0.0399183 + 0.226388i
\(563\) −3.05445e8 + 5.29047e8i −0.0721364 + 0.124944i −0.899837 0.436225i \(-0.856315\pi\)
0.827701 + 0.561169i \(0.189648\pi\)
\(564\) 5.34673e8 + 4.48644e8i 0.125491 + 0.105299i
\(565\) 1.42418e8 + 2.46675e8i 0.0332197 + 0.0575381i
\(566\) −3.40547e9 + 5.89844e9i −0.789440 + 1.36735i
\(567\) −1.49154e8 + 5.42876e7i −0.0343632 + 0.0125072i
\(568\) 9.31419e8 7.81553e8i 0.213268 0.178953i
\(569\) 1.18363e9 + 2.05011e9i 0.269354 + 0.466535i 0.968695 0.248253i \(-0.0798565\pi\)
−0.699341 + 0.714788i \(0.746523\pi\)
\(570\) 2.21501e7 1.25620e8i 0.00500973 0.0284116i
\(571\) 3.26580e8 1.85213e9i 0.0734114 0.416337i −0.925849 0.377893i \(-0.876649\pi\)
0.999261 0.0384440i \(-0.0122401\pi\)
\(572\) −1.85451e8 1.55612e8i −0.0414327 0.0347662i
\(573\) 1.66657e8 + 6.06581e7i 0.0370068 + 0.0134694i
\(574\) 3.61731e6 + 1.31659e6i 0.000798352 + 0.000290576i
\(575\) 3.90989e9 + 3.28078e9i 0.857683 + 0.719681i
\(576\) 2.98392e7 1.69227e8i 0.00650592 0.0368969i
\(577\) −3.41133e8 + 1.93466e9i −0.0739278 + 0.419265i 0.925273 + 0.379301i \(0.123836\pi\)
−0.999201 + 0.0399643i \(0.987276\pi\)
\(578\) −2.51394e9 4.35428e9i −0.541512 0.937926i
\(579\) −1.55797e9 + 1.30729e9i −0.333567 + 0.279896i
\(580\) −1.10009e8 + 4.00400e7i −0.0234115 + 0.00852111i
\(581\) −6.61307e7 + 1.14542e8i −0.0139890 + 0.0242297i
\(582\) 1.27817e9 + 2.21385e9i 0.268755 + 0.465497i
\(583\) 5.65517e8 + 4.74525e8i 0.118197 + 0.0991789i
\(584\) 6.15877e8 1.06673e9i 0.127953 0.221620i
\(585\) −1.89069e7 1.07226e8i −0.00390458 0.0221440i
\(586\) 7.77098e9 1.59527
\(587\) 1.25658e9 + 7.12645e9i 0.256424 + 1.45425i 0.792391 + 0.610013i \(0.208836\pi\)
−0.535967 + 0.844239i \(0.680053\pi\)
\(588\) 5.55873e8 4.66433e8i 0.112760 0.0946168i
\(589\) 5.41501e7 + 1.97090e7i 0.0109193 + 0.00397431i
\(590\) −1.81559e8 + 6.60820e7i −0.0363945 + 0.0132465i
\(591\) −1.40692e9 −0.280358
\(592\) 4.80246e9 + 4.05223e9i 0.951344 + 0.802727i
\(593\) 8.81808e9 1.73653 0.868265 0.496100i \(-0.165235\pi\)
0.868265 + 0.496100i \(0.165235\pi\)
\(594\) 1.20864e9 4.39909e8i 0.236616 0.0861213i
\(595\) −3.07506e7 1.11923e7i −0.00598472 0.00217826i
\(596\) −1.13175e9 + 9.49650e8i −0.218972 + 0.183739i
\(597\) −1.14527e8 6.49515e8i −0.0220291 0.124934i
\(598\) −1.73979e9 −0.332692
\(599\) 1.12228e9 + 6.36474e9i 0.213356 + 1.21000i 0.883736 + 0.467986i \(0.155020\pi\)
−0.670380 + 0.742018i \(0.733869\pi\)
\(600\) 3.61674e8 6.26437e8i 0.0683577 0.118399i
\(601\) −3.34583e9 2.80749e9i −0.628700 0.527542i 0.271825 0.962347i \(-0.412373\pi\)
−0.900525 + 0.434805i \(0.856817\pi\)
\(602\) −7.46996e7 1.29384e8i −0.0139550 0.0241708i
\(603\) −3.20131e9 + 5.54483e9i −0.594589 + 1.02986i
\(604\) −2.10266e9 + 7.65304e8i −0.388274 + 0.141320i
\(605\) −3.58997e8 + 3.01234e8i −0.0659093 + 0.0553045i
\(606\) −1.09284e8 1.89286e8i −0.0199482 0.0345513i
\(607\) −1.07138e8 + 6.07612e8i −0.0194440 + 0.110272i −0.992985 0.118240i \(-0.962275\pi\)
0.973541 + 0.228512i \(0.0733860\pi\)
\(608\) 8.57070e8 4.86069e9i 0.154651 0.877072i
\(609\) −2.11743e7 1.77673e7i −0.00379881 0.00318758i
\(610\) 5.80059e7 + 2.11124e7i 0.0103471 + 0.00376603i
\(611\) 1.37966e9 + 5.02156e8i 0.244697 + 0.0890624i
\(612\) −3.16902e9 2.65912e9i −0.558850 0.468931i
\(613\) 5.20490e8 2.95184e9i 0.0912642 0.517585i −0.904564 0.426338i \(-0.859804\pi\)
0.995828 0.0912473i \(-0.0290854\pi\)
\(614\) −2.25037e9 + 1.27625e10i −0.392342 + 2.22508i
\(615\) −1.13898e6 1.97278e6i −0.000197449 0.000341991i
\(616\) 4.36143e7 3.65967e7i 0.00751789 0.00630826i
\(617\) 7.22622e9 2.63013e9i 1.23855 0.450795i 0.362032 0.932166i \(-0.382083\pi\)
0.876517 + 0.481371i \(0.159861\pi\)
\(618\) −5.57505e8 + 9.65627e8i −0.0950143 + 0.164570i
\(619\) −3.64839e9 6.31920e9i −0.618278 1.07089i −0.989800 0.142465i \(-0.954497\pi\)
0.371521 0.928424i \(-0.378836\pi\)
\(620\) 3.57351e6 + 2.99854e6i 0.000602178 + 0.000505287i
\(621\) 1.68243e9 2.91405e9i 0.281914 0.488289i
\(622\) 4.97949e7 + 2.82401e8i 0.00829696 + 0.0470544i
\(623\) 1.63877e8 0.0271525
\(624\) 7.92657e7 + 4.49538e8i 0.0130599 + 0.0740662i
\(625\) 4.52808e9 3.79951e9i 0.741880 0.622511i
\(626\) −1.02531e10 3.73183e9i −1.67050 0.608011i
\(627\) 5.23520e8 1.90546e8i 0.0848197 0.0308719i
\(628\) −3.98942e9 −0.642763
\(629\) 8.01459e9 2.89221e9i 1.28412 0.463397i
\(630\) −3.42770e7 −0.00546148
\(631\) −8.76713e9 + 3.19098e9i −1.38917 + 0.505616i −0.924944 0.380102i \(-0.875889\pi\)
−0.464224 + 0.885718i \(0.653667\pi\)
\(632\) −1.02257e9 3.72185e8i −0.161132 0.0586474i
\(633\) −1.77488e8 + 1.48930e8i −0.0278136 + 0.0233384i
\(634\) −1.97933e9 1.12254e10i −0.308465 1.74939i
\(635\) 5.05958e8 0.0784164
\(636\) 6.36221e7 + 3.60819e8i 0.00980637 + 0.0556147i
\(637\) 7.63209e8 1.32192e9i 0.116992 0.202636i
\(638\) −1.07598e9 9.02852e8i −0.164033 0.137640i
\(639\) −1.59856e9 2.76880e9i −0.242369 0.419796i
\(640\) −3.31878e8 + 5.74829e8i −0.0500436 + 0.0866780i
\(641\) −9.33765e9 + 3.39863e9i −1.40034 + 0.509683i −0.928280 0.371881i \(-0.878713\pi\)
−0.472063 + 0.881565i \(0.656491\pi\)
\(642\) 1.60295e9 1.34503e9i 0.239082 0.200614i
\(643\) −1.13050e9 1.95808e9i −0.167700 0.290464i 0.769911 0.638151i \(-0.220301\pi\)
−0.937611 + 0.347687i \(0.886967\pi\)
\(644\) −3.46222e7 + 1.96352e8i −0.00510803 + 0.0289691i
\(645\) −1.53520e7 + 8.70657e7i −0.00225272 + 0.0127758i
\(646\) −7.80969e9 6.55311e9i −1.13978 0.956387i
\(647\) −5.61746e9 2.04459e9i −0.815408 0.296784i −0.0995524 0.995032i \(-0.531741\pi\)
−0.715856 + 0.698248i \(0.753963\pi\)
\(648\) 2.81010e9 + 1.02279e9i 0.405704 + 0.147664i
\(649\) −6.46438e8 5.42426e8i −0.0928261 0.0778904i
\(650\) −3.53690e8 + 2.00588e9i −0.0505157 + 0.286489i
\(651\) −191260. + 1.08469e6i −2.71700e−5 + 0.000154089i
\(652\) −8.92130e8 1.54522e9i −0.126055 0.218334i
\(653\) −6.24739e9 + 5.24218e9i −0.878016 + 0.736743i −0.965770 0.259399i \(-0.916475\pi\)
0.0877544 + 0.996142i \(0.472031\pi\)
\(654\) −1.40172e9 + 5.10185e8i −0.195947 + 0.0713190i
\(655\) −5.22801e8 + 9.05518e8i −0.0726929 + 0.125908i
\(656\) −6.71334e7 1.16278e8i −0.00928485 0.0160818i
\(657\) −2.48112e9 2.08190e9i −0.341325 0.286406i
\(658\) 2.31105e8 4.00286e8i 0.0316242 0.0547746i
\(659\) 9.56880e8 + 5.42673e9i 0.130244 + 0.738652i 0.978054 + 0.208351i \(0.0668097\pi\)
−0.847810 + 0.530300i \(0.822079\pi\)
\(660\) 4.50999e7 0.00610621
\(661\) −7.00982e8 3.97546e9i −0.0944064 0.535405i −0.994928 0.100593i \(-0.967926\pi\)
0.900521 0.434812i \(-0.143185\pi\)
\(662\) 1.27663e10 1.07122e10i 1.71025 1.43507i
\(663\) 5.81639e8 + 2.11699e8i 0.0775097 + 0.0282112i
\(664\) 2.34157e9 8.52260e8i 0.310397 0.112975i
\(665\) −3.07500e7 −0.00405480
\(666\) 6.85250e9 5.71799e9i 0.898855 0.750039i
\(667\) −3.67455e9 −0.479473
\(668\) −6.18210e9 + 2.25010e9i −0.802451 + 0.292068i
\(669\) 1.61079e9 + 5.86279e8i 0.207992 + 0.0757029i
\(670\) −9.78473e8 + 8.21036e8i −0.125686 + 0.105463i
\(671\) 4.68164e7 + 2.65509e8i 0.00598231 + 0.0339274i
\(672\) 9.43380e7 0.0119921
\(673\) −7.06535e6 4.00696e7i −0.000893472 0.00506713i 0.984358 0.176181i \(-0.0563745\pi\)
−0.985251 + 0.171114i \(0.945263\pi\)
\(674\) 3.83881e9 6.64902e9i 0.482934 0.836465i
\(675\) −3.01771e9 2.53216e9i −0.377671 0.316904i
\(676\) 2.17232e9 + 3.76256e9i 0.270464 + 0.468458i
\(677\) −5.81680e9 + 1.00750e10i −0.720483 + 1.24791i 0.240323 + 0.970693i \(0.422747\pi\)
−0.960806 + 0.277221i \(0.910587\pi\)
\(678\) −1.59380e9 + 5.80096e8i −0.196395 + 0.0714818i
\(679\) 4.72074e8 3.96117e8i 0.0578717 0.0485601i
\(680\) 3.08265e8 + 5.33931e8i 0.0375961 + 0.0651184i
\(681\) 2.86725e8 1.62610e9i 0.0347898 0.197303i
\(682\) −9.71893e6 + 5.51188e7i −0.00117320 + 0.00665357i
\(683\) −6.79458e9 5.70133e9i −0.816000 0.684705i 0.136032 0.990704i \(-0.456565\pi\)
−0.952032 + 0.305999i \(0.901010\pi\)
\(684\) −3.65288e9 1.32954e9i −0.436455 0.158856i
\(685\) −9.85339e8 3.58634e8i −0.117130 0.0426319i
\(686\) −7.36985e8 6.18404e8i −0.0871615 0.0731372i
\(687\) −4.06505e8 + 2.30540e9i −0.0478318 + 0.271268i
\(688\) −9.04872e8 + 5.13178e9i −0.105932 + 0.600771i
\(689\) 3.85354e8 + 6.67453e8i 0.0448841 + 0.0777416i
\(690\) 2.48285e8 2.08336e8i 0.0287726 0.0241431i
\(691\) 1.20251e8 4.37677e7i 0.0138648 0.00504638i −0.335078 0.942190i \(-0.608763\pi\)
0.348943 + 0.937144i \(0.386541\pi\)
\(692\) 4.64560e8 8.04642e8i 0.0532931 0.0923063i
\(693\) −7.48538e7 1.29651e8i −0.00854373 0.0147982i
\(694\) 1.33396e10 + 1.11933e10i 1.51490 + 1.27115i
\(695\) −5.39495e8 + 9.34433e8i −0.0609594 + 0.105585i
\(696\) 9.04298e7 + 5.12853e8i 0.0101667 + 0.0576581i
\(697\) −1.82063e8 −0.0203660
\(698\) 1.10822e9 + 6.28500e9i 0.123347 + 0.699538i
\(699\) 8.48570e8 7.12034e8i 0.0939761 0.0788553i
\(700\) 2.19344e8 + 7.98347e7i 0.0241703 + 0.00879729i
\(701\) 7.52942e9 2.74048e9i 0.825559 0.300479i 0.105524 0.994417i \(-0.466348\pi\)
0.720035 + 0.693938i \(0.244126\pi\)
\(702\) 1.34280e9 0.146497
\(703\) 6.14741e9 5.12964e9i 0.667343 0.556856i
\(704\) 1.49726e8 0.0161730
\(705\) −2.57023e8 + 9.35489e7i −0.0276255 + 0.0100549i
\(706\) 2.13417e10 + 7.76773e9i 2.28250 + 0.830764i
\(707\) −4.03628e7 + 3.38684e7i −0.00429549 + 0.00360435i
\(708\) −7.27259e7 4.12449e8i −0.00770146 0.0436771i
\(709\) 3.83011e9 0.403598 0.201799 0.979427i \(-0.435321\pi\)
0.201799 + 0.979427i \(0.435321\pi\)
\(710\) −1.10756e8 6.28129e8i −0.0116135 0.0658635i
\(711\) −1.43069e9 + 2.47803e9i −0.149280 + 0.258561i
\(712\) −2.36515e9 1.98460e9i −0.245572 0.206059i
\(713\) 7.32106e7 + 1.26805e8i 0.00756416 + 0.0131015i
\(714\) 9.74295e7 1.68753e8i 0.0100172 0.0173503i
\(715\) 8.91484e7 3.24474e7i 0.00912100 0.00331977i
\(716\) 3.51078e8 2.94589e8i 0.0357444 0.0299931i
\(717\) 2.32968e9 + 4.03512e9i 0.236036 + 0.408827i
\(718\) −2.59176e9 + 1.46986e10i −0.261312 + 1.48197i
\(719\) −1.60918e9 + 9.12613e9i −0.161456 + 0.915662i 0.791188 + 0.611573i \(0.209463\pi\)
−0.952644 + 0.304089i \(0.901648\pi\)
\(720\) 9.15851e8 + 7.68490e8i 0.0914452 + 0.0767316i
\(721\) 2.52583e8 + 9.19327e7i 0.0250975 + 0.00913475i
\(722\) 2.91435e9 + 1.06074e9i 0.288178 + 0.104888i
\(723\) −6.11858e8 5.13410e8i −0.0602097 0.0505219i
\(724\) −1.04038e9 + 5.90027e9i −0.101884 + 0.577812i
\(725\) −7.47018e8 + 4.23655e9i −0.0728028 + 0.412885i
\(726\) −1.39528e9 2.41669e9i −0.135326 0.234392i
\(727\) −1.14791e10 + 9.63210e9i −1.10799 + 0.929716i −0.997936 0.0642089i \(-0.979548\pi\)
−0.110056 + 0.993925i \(0.535103\pi\)
\(728\) 5.58546e7 2.03294e7i 0.00536536 0.00195283i
\(729\) 3.26009e9 5.64665e9i 0.311662 0.539814i
\(730\) −3.23073e8 5.59578e8i −0.0307376 0.0532391i
\(731\) 5.41282e9 + 4.54189e9i 0.512522 + 0.430057i
\(732\) −6.69028e7 + 1.15879e8i −0.00630457 + 0.0109198i
\(733\) −1.01290e9 5.74446e9i −0.0949958 0.538748i −0.994749 0.102348i \(-0.967364\pi\)
0.899753 0.436400i \(-0.143747\pi\)
\(734\) 1.82236e10 1.70097
\(735\) 4.93792e7 + 2.80043e8i 0.00458710 + 0.0260147i
\(736\) 9.60707e9 8.06129e9i 0.888216 0.745302i
\(737\) −5.24230e9 1.90804e9i −0.482376 0.175571i
\(738\) −1.79202e8 + 6.52241e7i −0.0164114 + 0.00597325i
\(739\) −1.14984e10 −1.04805 −0.524024 0.851704i \(-0.675570\pi\)
−0.524024 + 0.851704i \(0.675570\pi\)
\(740\) 6.09660e8 2.20007e8i 0.0553066 0.0199584i
\(741\) 5.81629e8 0.0525148
\(742\) 2.27997e8 8.29841e7i 0.0204887 0.00745729i
\(743\) 1.14043e10 + 4.15081e9i 1.02002 + 0.371255i 0.797271 0.603622i \(-0.206276\pi\)
0.222744 + 0.974877i \(0.428498\pi\)
\(744\) 1.58963e7 1.33385e7i 0.00141511 0.00118742i
\(745\) −1.00535e8 5.70164e8i −0.00890782 0.0505188i
\(746\) 2.11588e10 1.86597
\(747\) −1.13778e9 6.45269e9i −0.0998706 0.566394i
\(748\) 1.80227e9 3.12162e9i 0.157458 0.272725i
\(749\) −3.86419e8 3.24244e8i −0.0336026 0.0281959i
\(750\) −3.81472e8 6.60729e8i −0.0330178 0.0571885i
\(751\) −1.07995e10 + 1.87053e10i −0.930390 + 1.61148i −0.147735 + 0.989027i \(0.547198\pi\)
−0.782655 + 0.622456i \(0.786135\pi\)
\(752\) −1.51493e10 + 5.51391e9i −1.29907 + 0.472821i
\(753\) 3.08663e9 2.58999e9i 0.263452 0.221063i
\(754\) −7.33192e8 1.26993e9i −0.0622899 0.107889i
\(755\) 1.52267e8 8.63547e8i 0.0128763 0.0730250i
\(756\) 2.67219e7 1.51547e8i 0.00224927 0.0127562i
\(757\) −1.27761e10 1.07205e10i −1.07045 0.898210i −0.0753524 0.997157i \(-0.524008\pi\)
−0.995093 + 0.0989469i \(0.968453\pi\)
\(758\) −2.29861e10 8.36625e9i −1.91700 0.697732i
\(759\) 1.33022e9 + 4.84161e8i 0.110428 + 0.0401924i
\(760\) 4.43799e8 + 3.72392e8i 0.0366724 + 0.0307718i
\(761\) 3.01188e9 1.70812e10i 0.247737 1.40499i −0.566311 0.824192i \(-0.691630\pi\)
0.814048 0.580797i \(-0.197259\pi\)
\(762\) −5.23164e8 + 2.96701e9i −0.0428347 + 0.242928i
\(763\) 1.79798e8 + 3.11419e8i 0.0146538 + 0.0253811i
\(764\) 8.25984e8 6.93083e8i