Properties

Label 21.7.f.a.10.1
Level $21$
Weight $7$
Character 21.10
Analytic conductor $4.831$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 212 x^{6} + 473 x^{5} + 39800 x^{4} + 36821 x^{3} + 985651 x^{2} - 601290 x + 21068100\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{2}\cdot 3\cdot 7 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 10.1
Root \(7.29767 + 12.6399i\) of defining polynomial
Character \(\chi\) \(=\) 21.10
Dual form 21.7.f.a.19.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.79767 - 13.5060i) q^{2} +(-13.5000 - 7.79423i) q^{3} +(-89.6073 + 155.204i) q^{4} +(22.3721 - 12.9165i) q^{5} +243.107i q^{6} +(-203.121 - 276.389i) q^{7} +1796.81 q^{8} +(121.500 + 210.444i) q^{9} +O(q^{10})\) \(q+(-7.79767 - 13.5060i) q^{2} +(-13.5000 - 7.79423i) q^{3} +(-89.6073 + 155.204i) q^{4} +(22.3721 - 12.9165i) q^{5} +243.107i q^{6} +(-203.121 - 276.389i) q^{7} +1796.81 q^{8} +(121.500 + 210.444i) q^{9} +(-348.901 - 201.438i) q^{10} +(-311.967 + 540.343i) q^{11} +(2419.40 - 1396.84i) q^{12} +3257.26i q^{13} +(-2149.03 + 4898.53i) q^{14} -402.698 q^{15} +(-8276.07 - 14334.6i) q^{16} +(275.246 + 158.913i) q^{17} +(1894.83 - 3281.95i) q^{18} +(-5196.73 + 3000.33i) q^{19} +4629.67i q^{20} +(587.891 + 5314.42i) q^{21} +9730.47 q^{22} +(21.0083 + 36.3874i) q^{23} +(-24256.9 - 14004.8i) q^{24} +(-7478.83 + 12953.7i) q^{25} +(43992.4 - 25399.0i) q^{26} -3788.00i q^{27} +(61097.9 - 6758.77i) q^{28} -24273.4 q^{29} +(3140.11 + 5438.82i) q^{30} +(-17547.8 - 10131.2i) q^{31} +(-71570.2 + 123963. i) q^{32} +(8423.12 - 4863.09i) q^{33} -4956.62i q^{34} +(-8114.24 - 3559.79i) q^{35} -43549.2 q^{36} +(8688.57 + 15049.0i) q^{37} +(81044.8 + 46791.2i) q^{38} +(25387.8 - 43973.0i) q^{39} +(40198.5 - 23208.6i) q^{40} -100535. i q^{41} +(67192.2 - 49380.2i) q^{42} -67873.7 q^{43} +(-55909.1 - 96837.4i) q^{44} +(5436.42 + 3138.72i) q^{45} +(327.631 - 567.474i) q^{46} +(57039.5 - 32931.8i) q^{47} +258022. i q^{48} +(-35132.9 + 112281. i) q^{49} +233270. q^{50} +(-2477.21 - 4290.66i) q^{51} +(-505541. - 291874. i) q^{52} +(-49611.0 + 85928.8i) q^{53} +(-51160.5 + 29537.5i) q^{54} +16118.2i q^{55} +(-364970. - 496619. i) q^{56} +93541.1 q^{57} +(189276. + 327835. i) q^{58} +(87190.7 + 50339.6i) q^{59} +(36084.7 - 62500.5i) q^{60} +(-201092. + 116101. i) q^{61} +315999. i q^{62} +(33485.3 - 76326.9i) q^{63} +1.17299e6 q^{64} +(42072.6 + 72871.8i) q^{65} +(-131361. - 75841.5i) q^{66} +(-20544.0 + 35583.3i) q^{67} +(-49328.1 + 28479.6i) q^{68} -654.974i q^{69} +(15193.8 + 137349. i) q^{70} -400361. q^{71} +(218313. + 378128. i) q^{72} +(479106. + 276612. i) q^{73} +(135501. - 234695. i) q^{74} +(201928. - 116583. i) q^{75} -1.07541e6i q^{76} +(212712. - 23530.6i) q^{77} -791864. q^{78} +(5240.77 + 9077.28i) q^{79} +(-370306. - 213797. i) q^{80} +(-29524.5 + 51137.9i) q^{81} +(-1.35782e6 + 783939. i) q^{82} -712797. i q^{83} +(-877501. - 384968. i) q^{84} +8210.45 q^{85} +(529257. + 916700. i) q^{86} +(327691. + 189192. i) q^{87} +(-560546. + 970895. i) q^{88} +(-164942. + 95229.2i) q^{89} -97898.8i q^{90} +(900271. - 661617. i) q^{91} -7529.99 q^{92} +(157930. + 273543. i) q^{93} +(-889550. - 513582. i) q^{94} +(-77507.9 + 134248. i) q^{95} +(1.93239e6 - 1.11567e6i) q^{96} -1.07270e6i q^{97} +(1.79041e6 - 401025. i) q^{98} -151616. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} - 108q^{3} - 173q^{4} - 294q^{5} - 656q^{7} + 3326q^{8} + 972q^{9} + O(q^{10}) \) \( 8q - 5q^{2} - 108q^{3} - 173q^{4} - 294q^{5} - 656q^{7} + 3326q^{8} + 972q^{9} - 3411q^{10} - 314q^{11} + 4671q^{12} - 5360q^{14} + 5292q^{15} - 12721q^{16} - 5532q^{17} + 1215q^{18} - 18234q^{19} + 9342q^{21} + 86106q^{22} + 3928q^{23} - 44901q^{24} - 17038q^{25} + 12366q^{26} + 85037q^{28} - 8300q^{29} + 30699q^{30} - 89508q^{31} - 186207q^{32} + 8478q^{33} - 25860q^{35} - 84078q^{36} + 64706q^{37} - 77136q^{38} + 29106q^{39} + 221823q^{40} + 173583q^{42} + 45740q^{43} + 92529q^{44} - 71442q^{45} - 111504q^{46} + 483276q^{47} - 310684q^{49} + 967216q^{50} + 49788q^{51} - 1673988q^{52} - 540974q^{53} - 32805q^{54} - 241885q^{56} + 328212q^{57} + 539799q^{58} - 181770q^{59} - 146367q^{60} + 418224q^{61} - 92826q^{63} + 2378626q^{64} - 414204q^{65} - 1162431q^{66} - 1158902q^{67} - 821250q^{68} + 1087917q^{70} + 1442344q^{71} + 404109q^{72} - 378666q^{73} - 432940q^{74} + 460026q^{75} + 1065994q^{77} - 222588q^{78} + 611452q^{79} - 2094945q^{80} - 236196q^{81} - 1561266q^{82} - 1579716q^{84} - 275112q^{85} + 816224q^{86} + 112050q^{87} - 366441q^{88} - 989196q^{89} + 304446q^{91} + 678720q^{92} + 805572q^{93} - 716148q^{94} - 591792q^{95} + 5027589q^{96} + 3509629q^{98} - 152604q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.79767 13.5060i −0.974709 1.68825i −0.680893 0.732383i \(-0.738408\pi\)
−0.293816 0.955862i \(-0.594925\pi\)
\(3\) −13.5000 7.79423i −0.500000 0.288675i
\(4\) −89.6073 + 155.204i −1.40011 + 2.42507i
\(5\) 22.3721 12.9165i 0.178977 0.103332i −0.407835 0.913056i \(-0.633716\pi\)
0.586812 + 0.809723i \(0.300383\pi\)
\(6\) 243.107i 1.12550i
\(7\) −203.121 276.389i −0.592189 0.805799i
\(8\) 1796.81 3.50940
\(9\) 121.500 + 210.444i 0.166667 + 0.288675i
\(10\) −348.901 201.438i −0.348901 0.201438i
\(11\) −311.967 + 540.343i −0.234386 + 0.405968i −0.959094 0.283088i \(-0.908641\pi\)
0.724708 + 0.689056i \(0.241975\pi\)
\(12\) 2419.40 1396.84i 1.40011 0.808356i
\(13\) 3257.26i 1.48259i 0.671177 + 0.741297i \(0.265789\pi\)
−0.671177 + 0.741297i \(0.734211\pi\)
\(14\) −2149.03 + 4898.53i −0.783175 + 1.78518i
\(15\) −402.698 −0.119318
\(16\) −8276.07 14334.6i −2.02053 3.49965i
\(17\) 275.246 + 158.913i 0.0560240 + 0.0323455i 0.527750 0.849400i \(-0.323036\pi\)
−0.471726 + 0.881745i \(0.656369\pi\)
\(18\) 1894.83 3281.95i 0.324903 0.562748i
\(19\) −5196.73 + 3000.33i −0.757651 + 0.437430i −0.828452 0.560060i \(-0.810778\pi\)
0.0708006 + 0.997490i \(0.477445\pi\)
\(20\) 4629.67i 0.578709i
\(21\) 587.891 + 5314.42i 0.0634803 + 0.573850i
\(22\) 9730.47 0.913831
\(23\) 21.0083 + 36.3874i 0.00172666 + 0.00299067i 0.866887 0.498504i \(-0.166117\pi\)
−0.865161 + 0.501495i \(0.832784\pi\)
\(24\) −24256.9 14004.8i −1.75470 1.01308i
\(25\) −7478.83 + 12953.7i −0.478645 + 0.829037i
\(26\) 43992.4 25399.0i 2.50298 1.44510i
\(27\) 3788.00i 0.192450i
\(28\) 61097.9 6758.77i 2.78325 0.307888i
\(29\) −24273.4 −0.995260 −0.497630 0.867389i \(-0.665796\pi\)
−0.497630 + 0.867389i \(0.665796\pi\)
\(30\) 3140.11 + 5438.82i 0.116300 + 0.201438i
\(31\) −17547.8 10131.2i −0.589030 0.340076i 0.175684 0.984447i \(-0.443786\pi\)
−0.764714 + 0.644370i \(0.777120\pi\)
\(32\) −71570.2 + 123963.i −2.18415 + 3.78306i
\(33\) 8423.12 4863.09i 0.234386 0.135323i
\(34\) 4956.62i 0.126110i
\(35\) −8114.24 3559.79i −0.189253 0.0830272i
\(36\) −43549.2 −0.933409
\(37\) 8688.57 + 15049.0i 0.171531 + 0.297101i 0.938955 0.344039i \(-0.111795\pi\)
−0.767424 + 0.641140i \(0.778462\pi\)
\(38\) 81044.8 + 46791.2i 1.47698 + 0.852734i
\(39\) 25387.8 43973.0i 0.427988 0.741297i
\(40\) 40198.5 23208.6i 0.628101 0.362634i
\(41\) 100535.i 1.45870i −0.684141 0.729350i \(-0.739823\pi\)
0.684141 0.729350i \(-0.260177\pi\)
\(42\) 67192.2 49380.2i 0.906924 0.666507i
\(43\) −67873.7 −0.853682 −0.426841 0.904327i \(-0.640374\pi\)
−0.426841 + 0.904327i \(0.640374\pi\)
\(44\) −55909.1 96837.4i −0.656333 1.13680i
\(45\) 5436.42 + 3138.72i 0.0596590 + 0.0344441i
\(46\) 327.631 567.474i 0.00336598 0.00583006i
\(47\) 57039.5 32931.8i 0.549392 0.317191i −0.199485 0.979901i \(-0.563927\pi\)
0.748877 + 0.662709i \(0.230594\pi\)
\(48\) 258022.i 2.33310i
\(49\) −35132.9 + 112281.i −0.298624 + 0.954371i
\(50\) 233270. 1.86616
\(51\) −2477.21 4290.66i −0.0186747 0.0323455i
\(52\) −505541. 291874.i −3.59539 2.07580i
\(53\) −49611.0 + 85928.8i −0.333235 + 0.577180i −0.983144 0.182832i \(-0.941474\pi\)
0.649909 + 0.760012i \(0.274807\pi\)
\(54\) −51160.5 + 29537.5i −0.324903 + 0.187583i
\(55\) 16118.2i 0.0968785i
\(56\) −364970. 496619.i −2.07823 2.82787i
\(57\) 93541.1 0.505101
\(58\) 189276. + 327835.i 0.970088 + 1.68024i
\(59\) 87190.7 + 50339.6i 0.424536 + 0.245106i 0.697016 0.717055i \(-0.254511\pi\)
−0.272480 + 0.962161i \(0.587844\pi\)
\(60\) 36084.7 62500.5i 0.167059 0.289354i
\(61\) −201092. + 116101.i −0.885943 + 0.511499i −0.872613 0.488412i \(-0.837576\pi\)
−0.0133295 + 0.999911i \(0.504243\pi\)
\(62\) 315999.i 1.32590i
\(63\) 33485.3 76326.9i 0.133916 0.305250i
\(64\) 1.17299e6 4.47458
\(65\) 42072.6 + 72871.8i 0.153200 + 0.265350i
\(66\) −131361. 75841.5i −0.456916 0.263800i
\(67\) −20544.0 + 35583.3i −0.0683063 + 0.118310i −0.898156 0.439677i \(-0.855093\pi\)
0.829850 + 0.557987i \(0.188426\pi\)
\(68\) −49328.1 + 28479.6i −0.156880 + 0.0905747i
\(69\) 654.974i 0.00199378i
\(70\) 15193.8 + 137349.i 0.0442967 + 0.400433i
\(71\) −400361. −1.11861 −0.559303 0.828963i \(-0.688931\pi\)
−0.559303 + 0.828963i \(0.688931\pi\)
\(72\) 218313. + 378128.i 0.584899 + 1.01308i
\(73\) 479106. + 276612.i 1.23158 + 0.711054i 0.967360 0.253407i \(-0.0815513\pi\)
0.264223 + 0.964462i \(0.414885\pi\)
\(74\) 135501. 234695.i 0.334386 0.579173i
\(75\) 201928. 116583.i 0.478645 0.276346i
\(76\) 1.07541e6i 2.44981i
\(77\) 212712. 23530.6i 0.465929 0.0515420i
\(78\) −791864. −1.66866
\(79\) 5240.77 + 9077.28i 0.0106295 + 0.0184109i 0.871291 0.490766i \(-0.163283\pi\)
−0.860662 + 0.509177i \(0.829950\pi\)
\(80\) −370306. 213797.i −0.723255 0.417571i
\(81\) −29524.5 + 51137.9i −0.0555556 + 0.0962250i
\(82\) −1.35782e6 + 783939.i −2.46264 + 1.42181i
\(83\) 712797.i 1.24661i −0.781978 0.623306i \(-0.785789\pi\)
0.781978 0.623306i \(-0.214211\pi\)
\(84\) −877501. 384968.i −1.48050 0.649511i
\(85\) 8210.45 0.0133693
\(86\) 529257. + 916700.i 0.832091 + 1.44122i
\(87\) 327691. + 189192.i 0.497630 + 0.287307i
\(88\) −560546. + 970895.i −0.822552 + 1.42470i
\(89\) −164942. + 95229.2i −0.233970 + 0.135083i −0.612402 0.790546i \(-0.709797\pi\)
0.378432 + 0.925629i \(0.376463\pi\)
\(90\) 97898.8i 0.134292i
\(91\) 900271. 661617.i 1.19467 0.877976i
\(92\) −7529.99 −0.00967009
\(93\) 157930. + 273543.i 0.196343 + 0.340076i
\(94\) −889550. 513582.i −1.07099 0.618339i
\(95\) −77507.9 + 134248.i −0.0904014 + 0.156580i
\(96\) 1.93239e6 1.11567e6i 2.18415 1.26102i
\(97\) 1.07270e6i 1.17533i −0.809103 0.587667i \(-0.800046\pi\)
0.809103 0.587667i \(-0.199954\pi\)
\(98\) 1.79041e6 401025.i 1.90228 0.426082i
\(99\) −151616. −0.156257
\(100\) −1.34031e6 2.32149e6i −1.34031 2.32149i
\(101\) −461204. 266276.i −0.447640 0.258445i 0.259193 0.965826i \(-0.416544\pi\)
−0.706833 + 0.707380i \(0.749877\pi\)
\(102\) −38633.0 + 66914.3i −0.0364047 + 0.0630548i
\(103\) 904654. 522302.i 0.827886 0.477980i −0.0252420 0.999681i \(-0.508036\pi\)
0.853128 + 0.521701i \(0.174702\pi\)
\(104\) 5.85268e6i 5.20301i
\(105\) 81796.4 + 111301.i 0.0706588 + 0.0961463i
\(106\) 1.54740e6 1.29923
\(107\) −179422. 310767.i −0.146461 0.253679i 0.783456 0.621448i \(-0.213455\pi\)
−0.929917 + 0.367769i \(0.880122\pi\)
\(108\) 587914. + 339432.i 0.466705 + 0.269452i
\(109\) −376187. + 651575.i −0.290485 + 0.503136i −0.973925 0.226872i \(-0.927150\pi\)
0.683439 + 0.730007i \(0.260483\pi\)
\(110\) 217691. 125684.i 0.163555 0.0944283i
\(111\) 270883.i 0.198067i
\(112\) −2.28088e6 + 5.19907e6i −1.62348 + 3.70059i
\(113\) −2.37249e6 −1.64425 −0.822126 0.569306i \(-0.807212\pi\)
−0.822126 + 0.569306i \(0.807212\pi\)
\(114\) −729403. 1.26336e6i −0.492326 0.852734i
\(115\) 940.000 + 542.709i 0.000618065 + 0.000356840i
\(116\) 2.17507e6 3.76734e6i 1.39348 2.41357i
\(117\) −685471. + 395757.i −0.427988 + 0.247099i
\(118\) 1.57013e6i 0.955627i
\(119\) −11986.3 108354.i −0.00711285 0.0642987i
\(120\) −723572. −0.418734
\(121\) 691133. + 1.19708e6i 0.390127 + 0.675719i
\(122\) 3.13610e6 + 1.81063e6i 1.72707 + 0.997126i
\(123\) −783593. + 1.35722e6i −0.421090 + 0.729350i
\(124\) 3.14482e6 1.81566e6i 1.64942 0.952291i
\(125\) 790045.i 0.404503i
\(126\) −1.29197e6 + 142921.i −0.645866 + 0.0714469i
\(127\) −1.06403e6 −0.519447 −0.259724 0.965683i \(-0.583631\pi\)
−0.259724 + 0.965683i \(0.583631\pi\)
\(128\) −4.56606e6 7.90865e6i −2.17727 3.77114i
\(129\) 916295. + 529023.i 0.426841 + 0.246437i
\(130\) 656136. 1.13646e6i 0.298651 0.517278i
\(131\) −565054. + 326234.i −0.251348 + 0.145116i −0.620382 0.784300i \(-0.713022\pi\)
0.369033 + 0.929416i \(0.379689\pi\)
\(132\) 1.74307e6i 0.757869i
\(133\) 1.88482e6 + 826889.i 0.801153 + 0.351473i
\(134\) 640782. 0.266315
\(135\) −48927.8 84745.5i −0.0198863 0.0344441i
\(136\) 494565. + 285537.i 0.196610 + 0.113513i
\(137\) −2.29875e6 + 3.98155e6i −0.893985 + 1.54843i −0.0589291 + 0.998262i \(0.518769\pi\)
−0.835056 + 0.550165i \(0.814565\pi\)
\(138\) −8846.05 + 5107.27i −0.00336598 + 0.00194335i
\(139\) 1.96781e6i 0.732720i −0.930473 0.366360i \(-0.880604\pi\)
0.930473 0.366360i \(-0.119396\pi\)
\(140\) 1.27959e6 940382.i 0.466323 0.342705i
\(141\) −1.02671e6 −0.366261
\(142\) 3.12189e6 + 5.40726e6i 1.09031 + 1.88848i
\(143\) −1.76004e6 1.01616e6i −0.601886 0.347499i
\(144\) 2.01109e6 3.48330e6i 0.673508 1.16655i
\(145\) −543047. + 313528.i −0.178129 + 0.102843i
\(146\) 8.62772e6i 2.77228i
\(147\) 1.34944e6 1.24196e6i 0.424815 0.390980i
\(148\) −3.11424e6 −0.960653
\(149\) 1.55562e6 + 2.69442e6i 0.470268 + 0.814529i 0.999422 0.0339975i \(-0.0108238\pi\)
−0.529154 + 0.848526i \(0.677490\pi\)
\(150\) −3.14914e6 1.81816e6i −0.933079 0.538713i
\(151\) 869607. 1.50620e6i 0.252576 0.437475i −0.711658 0.702526i \(-0.752056\pi\)
0.964234 + 0.265051i \(0.0853889\pi\)
\(152\) −9.33754e6 + 5.39103e6i −2.65890 + 1.53512i
\(153\) 77231.9i 0.0215637i
\(154\) −1.97646e6 2.68940e6i −0.541161 0.736364i
\(155\) −523441. −0.140564
\(156\) 4.54987e6 + 7.88061e6i 1.19846 + 2.07580i
\(157\) −735252. 424498.i −0.189993 0.109692i 0.401986 0.915646i \(-0.368320\pi\)
−0.591979 + 0.805953i \(0.701653\pi\)
\(158\) 81731.6 141563.i 0.0207214 0.0358905i
\(159\) 1.33950e6 773359.i 0.333235 0.192393i
\(160\) 3.69776e6i 0.902773i
\(161\) 5789.87 13197.5i 0.00138737 0.00316238i
\(162\) 920889. 0.216602
\(163\) −671609. 1.16326e6i −0.155079 0.268605i 0.778009 0.628254i \(-0.216230\pi\)
−0.933088 + 0.359648i \(0.882897\pi\)
\(164\) 1.56035e7 + 9.00868e6i 3.53745 + 2.04235i
\(165\) 125629. 217595.i 0.0279664 0.0484393i
\(166\) −9.62701e6 + 5.55815e6i −2.10459 + 1.21508i
\(167\) 6.60321e6i 1.41777i −0.705324 0.708885i \(-0.749199\pi\)
0.705324 0.708885i \(-0.250801\pi\)
\(168\) 1.05633e6 + 9.54901e6i 0.222778 + 2.01387i
\(169\) −5.78293e6 −1.19809
\(170\) −64022.4 110890.i −0.0130312 0.0225707i
\(171\) −1.26281e6 729081.i −0.252550 0.145810i
\(172\) 6.08198e6 1.05343e7i 1.19525 2.07024i
\(173\) 8.15811e6 4.71008e6i 1.57562 0.909684i 0.580158 0.814504i \(-0.302991\pi\)
0.995460 0.0951797i \(-0.0303426\pi\)
\(174\) 5.90104e6i 1.12016i
\(175\) 5.09937e6 564102.i 0.951486 0.105255i
\(176\) 1.03275e7 1.89433
\(177\) −784717. 1.35917e6i −0.141512 0.245106i
\(178\) 2.57232e6 + 1.48513e6i 0.456106 + 0.263333i
\(179\) 1.50382e6 2.60470e6i 0.262203 0.454149i −0.704624 0.709581i \(-0.748884\pi\)
0.966827 + 0.255432i \(0.0822176\pi\)
\(180\) −974287. + 562505.i −0.167059 + 0.0964514i
\(181\) 8.77281e6i 1.47946i 0.672904 + 0.739730i \(0.265047\pi\)
−0.672904 + 0.739730i \(0.734953\pi\)
\(182\) −1.59558e7 6.99995e6i −2.64670 1.16113i
\(183\) 3.61966e6 0.590628
\(184\) 37747.9 + 65381.3i 0.00605954 + 0.0104954i
\(185\) 388763. + 224453.i 0.0614002 + 0.0354494i
\(186\) 2.46297e6 4.26599e6i 0.382755 0.662951i
\(187\) −171736. + 99151.6i −0.0262625 + 0.0151626i
\(188\) 1.18037e7i 1.77642i
\(189\) −1.04696e6 + 769421.i −0.155076 + 0.113967i
\(190\) 2.41752e6 0.352460
\(191\) −720715. 1.24831e6i −0.103434 0.179153i 0.809663 0.586895i \(-0.199650\pi\)
−0.913097 + 0.407742i \(0.866316\pi\)
\(192\) −1.58353e7 9.14252e6i −2.23729 1.29170i
\(193\) −851094. + 1.47414e6i −0.118387 + 0.205053i −0.919129 0.393957i \(-0.871106\pi\)
0.800741 + 0.599010i \(0.204439\pi\)
\(194\) −1.44878e7 + 8.36453e6i −1.98425 + 1.14561i
\(195\) 1.31169e6i 0.176900i
\(196\) −1.42783e7 1.55140e7i −1.89631 2.06041i
\(197\) 6.42619e6 0.840534 0.420267 0.907401i \(-0.361936\pi\)
0.420267 + 0.907401i \(0.361936\pi\)
\(198\) 1.18225e6 + 2.04772e6i 0.152305 + 0.263800i
\(199\) −5.77106e6 3.33192e6i −0.732312 0.422801i 0.0869554 0.996212i \(-0.472286\pi\)
−0.819267 + 0.573412i \(0.805620\pi\)
\(200\) −1.34380e7 + 2.32754e7i −1.67975 + 2.90942i
\(201\) 554689. 320250.i 0.0683063 0.0394367i
\(202\) 8.30534e6i 1.00764i
\(203\) 4.93043e6 + 6.70890e6i 0.589382 + 0.801979i
\(204\) 887906. 0.104587
\(205\) −1.29857e6 2.24918e6i −0.150731 0.261074i
\(206\) −1.41084e7 8.14548e6i −1.61390 0.931783i
\(207\) −5105.01 + 8842.14i −0.000575554 + 0.000996888i
\(208\) 4.66914e7 2.69573e7i 5.18856 2.99562i
\(209\) 3.74402e6i 0.410109i
\(210\) 865411. 1.97263e6i 0.0934468 0.213004i
\(211\) 1.06742e6 0.113629 0.0568144 0.998385i \(-0.481906\pi\)
0.0568144 + 0.998385i \(0.481906\pi\)
\(212\) −8.89102e6 1.53997e7i −0.933134 1.61624i
\(213\) 5.40488e6 + 3.12051e6i 0.559303 + 0.322914i
\(214\) −2.79814e6 + 4.84652e6i −0.285515 + 0.494526i
\(215\) −1.51848e6 + 876694.i −0.152789 + 0.0882130i
\(216\) 6.80631e6i 0.675384i
\(217\) 764162. + 6.90788e6i 0.0747836 + 0.676029i
\(218\) 1.17335e7 1.13255
\(219\) −4.31196e6 7.46853e6i −0.410527 0.711054i
\(220\) −2.50161e6 1.44431e6i −0.234937 0.135641i
\(221\) −517622. + 896548.i −0.0479552 + 0.0830609i
\(222\) −3.65853e6 + 2.11225e6i −0.334386 + 0.193058i
\(223\) 1.67396e7i 1.50949i 0.656016 + 0.754747i \(0.272240\pi\)
−0.656016 + 0.754747i \(0.727760\pi\)
\(224\) 4.87995e7 5.39829e6i 4.34181 0.480299i
\(225\) −3.63471e6 −0.319097
\(226\) 1.84999e7 + 3.20427e7i 1.60267 + 2.77590i
\(227\) 1.64212e7 + 9.48080e6i 1.40387 + 0.810527i 0.994788 0.101969i \(-0.0325141\pi\)
0.409086 + 0.912496i \(0.365847\pi\)
\(228\) −8.38197e6 + 1.45180e7i −0.707199 + 1.22490i
\(229\) −3.68706e6 + 2.12872e6i −0.307025 + 0.177261i −0.645594 0.763680i \(-0.723390\pi\)
0.338569 + 0.940941i \(0.390057\pi\)
\(230\) 16927.5i 0.00139126i
\(231\) −3.05502e6 1.34026e6i −0.247844 0.108731i
\(232\) −4.36147e7 −3.49276
\(233\) −6.08975e6 1.05478e7i −0.481429 0.833859i 0.518344 0.855172i \(-0.326549\pi\)
−0.999773 + 0.0213134i \(0.993215\pi\)
\(234\) 1.06902e7 + 6.17197e6i 0.834328 + 0.481699i
\(235\) 850730. 1.47351e6i 0.0655523 0.113540i
\(236\) −1.56259e7 + 9.02159e6i −1.18880 + 0.686352i
\(237\) 163391.i 0.0122739i
\(238\) −1.36995e6 + 1.00679e6i −0.101619 + 0.0746808i
\(239\) −1.03799e7 −0.760328 −0.380164 0.924919i \(-0.624132\pi\)
−0.380164 + 0.924919i \(0.624132\pi\)
\(240\) 3.33276e6 + 5.77251e6i 0.241085 + 0.417571i
\(241\) −9.70985e6 5.60598e6i −0.693683 0.400498i 0.111307 0.993786i \(-0.464496\pi\)
−0.804990 + 0.593288i \(0.797830\pi\)
\(242\) 1.07785e7 1.86688e7i 0.760520 1.31726i
\(243\) 797162. 460241.i 0.0555556 0.0320750i
\(244\) 4.16139e7i 2.86463i
\(245\) 664283. + 2.96575e6i 0.0451705 + 0.201668i
\(246\) 2.44408e7 1.64176
\(247\) −9.77286e6 1.69271e7i −0.648531 1.12329i
\(248\) −3.15300e7 1.82039e7i −2.06714 1.19346i
\(249\) −5.55570e6 + 9.62276e6i −0.359866 + 0.623306i
\(250\) 1.06703e7 6.16051e6i 0.682900 0.394272i
\(251\) 2.63644e7i 1.66724i 0.552341 + 0.833618i \(0.313735\pi\)
−0.552341 + 0.833618i \(0.686265\pi\)
\(252\) 8.84574e6 + 1.20365e7i 0.552755 + 0.752140i
\(253\) −26215.6 −0.00161882
\(254\) 8.29693e6 + 1.43707e7i 0.506310 + 0.876954i
\(255\) −110841. 63994.1i −0.00668467 0.00385940i
\(256\) −3.36737e7 + 5.83246e7i −2.00711 + 3.47642i
\(257\) 2.22833e7 1.28653e7i 1.31274 0.757913i 0.330194 0.943913i \(-0.392886\pi\)
0.982550 + 0.186000i \(0.0595525\pi\)
\(258\) 1.65006e7i 0.960816i
\(259\) 2.39456e6 5.45820e6i 0.137825 0.314159i
\(260\) −1.50800e7 −0.857990
\(261\) −2.94922e6 5.10819e6i −0.165877 0.287307i
\(262\) 8.81221e6 + 5.08773e6i 0.489983 + 0.282892i
\(263\) −8.45919e6 + 1.46517e7i −0.465009 + 0.805420i −0.999202 0.0399431i \(-0.987282\pi\)
0.534193 + 0.845363i \(0.320616\pi\)
\(264\) 1.51348e7 8.73805e6i 0.822552 0.474901i
\(265\) 2.56321e6i 0.137736i
\(266\) −3.52930e6 3.19042e7i −0.187518 1.69513i
\(267\) 2.96895e6 0.155980
\(268\) −3.68179e6 6.37705e6i −0.191273 0.331295i
\(269\) −2.28580e7 1.31971e7i −1.17431 0.677987i −0.219617 0.975586i \(-0.570481\pi\)
−0.954691 + 0.297599i \(0.903814\pi\)
\(270\) −763046. + 1.32163e6i −0.0387668 + 0.0671460i
\(271\) 5.51435e6 3.18371e6i 0.277068 0.159965i −0.355027 0.934856i \(-0.615528\pi\)
0.632095 + 0.774891i \(0.282195\pi\)
\(272\) 5.26071e6i 0.261419i
\(273\) −1.73105e7 + 1.91491e6i −0.850786 + 0.0941156i
\(274\) 7.16996e7 3.48550
\(275\) −4.66630e6 8.08227e6i −0.224375 0.388629i
\(276\) 101655. + 58690.4i 0.00483505 + 0.00279152i
\(277\) 1.72556e7 2.98876e7i 0.811878 1.40621i −0.0996696 0.995021i \(-0.531779\pi\)
0.911548 0.411194i \(-0.134888\pi\)
\(278\) −2.65771e7 + 1.53443e7i −1.23701 + 0.714189i
\(279\) 4.92377e6i 0.226718i
\(280\) −1.45797e7 6.39627e6i −0.664165 0.291375i
\(281\) 4.02256e7 1.81294 0.906470 0.422270i \(-0.138767\pi\)
0.906470 + 0.422270i \(0.138767\pi\)
\(282\) 8.00595e6 + 1.38667e7i 0.356998 + 0.618339i
\(283\) −2.53348e6 1.46270e6i −0.111778 0.0645352i 0.443069 0.896488i \(-0.353890\pi\)
−0.554847 + 0.831953i \(0.687223\pi\)
\(284\) 3.58753e7 6.21378e7i 1.56618 2.71270i
\(285\) 2.09271e6 1.20823e6i 0.0904014 0.0521933i
\(286\) 3.16947e7i 1.35484i
\(287\) −2.77868e7 + 2.04208e7i −1.17542 + 0.863826i
\(288\) −3.47831e7 −1.45610
\(289\) −1.20183e7 2.08163e7i −0.497908 0.862401i
\(290\) 8.46900e6 + 4.88958e6i 0.347247 + 0.200483i
\(291\) −8.36084e6 + 1.44814e7i −0.339290 + 0.587667i
\(292\) −8.58629e7 + 4.95730e7i −3.44871 + 1.99111i
\(293\) 1.16741e7i 0.464109i −0.972703 0.232054i \(-0.925455\pi\)
0.972703 0.232054i \(-0.0745448\pi\)
\(294\) −2.72963e7 8.54105e6i −1.07414 0.336101i
\(295\) 2.60086e6 0.101309
\(296\) 1.56117e7 + 2.70403e7i 0.601971 + 1.04264i
\(297\) 2.04682e6 + 1.18173e6i 0.0781286 + 0.0451075i
\(298\) 2.42605e7 4.20204e7i 0.916749 1.58786i
\(299\) −118523. + 68429.5i −0.00443394 + 0.00255994i
\(300\) 4.17869e7i 1.54766i
\(301\) 1.37866e7 + 1.87596e7i 0.505541 + 0.687896i
\(302\) −2.71236e7 −0.984753
\(303\) 4.15084e6 + 7.18947e6i 0.149213 + 0.258445i
\(304\) 8.60170e7 + 4.96619e7i 3.06171 + 1.76768i
\(305\) −2.99924e6 + 5.19483e6i −0.105709 + 0.183093i
\(306\) 1.04309e6 602229.i 0.0364047 0.0210183i
\(307\) 3.20193e7i 1.10661i 0.832977 + 0.553307i \(0.186634\pi\)
−0.832977 + 0.553307i \(0.813366\pi\)
\(308\) −1.54085e7 + 3.51224e7i −0.527361 + 1.20208i
\(309\) −1.62838e7 −0.551924
\(310\) 4.08162e6 + 7.06958e6i 0.137009 + 0.237306i
\(311\) 2.10086e6 + 1.21293e6i 0.0698418 + 0.0403232i 0.534514 0.845159i \(-0.320495\pi\)
−0.464672 + 0.885483i \(0.653828\pi\)
\(312\) 4.56171e7 7.90112e7i 1.50198 2.60151i
\(313\) 2.43110e7 1.40359e7i 0.792810 0.457729i −0.0481409 0.998841i \(-0.515330\pi\)
0.840951 + 0.541112i \(0.181996\pi\)
\(314\) 1.32404e7i 0.427673i
\(315\) −236743. 2.14011e6i −0.00757434 0.0684706i
\(316\) −1.87845e6 −0.0595302
\(317\) −3.84108e6 6.65294e6i −0.120580 0.208851i 0.799417 0.600777i \(-0.205142\pi\)
−0.919997 + 0.391927i \(0.871809\pi\)
\(318\) −2.08899e7 1.20608e7i −0.649614 0.375055i
\(319\) 7.57251e6 1.31160e7i 0.233275 0.404044i
\(320\) 2.62422e7 1.51509e7i 0.800847 0.462369i
\(321\) 5.59381e6i 0.169119i
\(322\) −223392. + 24712.1i −0.00669115 + 0.000740188i
\(323\) −1.90717e6 −0.0565955
\(324\) −5.29122e6 9.16466e6i −0.155568 0.269452i
\(325\) −4.21936e7 2.43605e7i −1.22913 0.709636i
\(326\) −1.04740e7 + 1.81414e7i −0.302314 + 0.523624i
\(327\) 1.01571e7 5.86418e6i 0.290485 0.167712i
\(328\) 1.80642e8i 5.11916i
\(329\) −2.06879e7 9.07597e6i −0.580936 0.254862i
\(330\) −3.91844e6 −0.109036
\(331\) 2.56402e7 + 4.44102e7i 0.707031 + 1.22461i 0.965954 + 0.258715i \(0.0832990\pi\)
−0.258923 + 0.965898i \(0.583368\pi\)
\(332\) 1.10629e8 + 6.38718e7i 3.02312 + 1.74540i
\(333\) −2.11132e6 + 3.65692e6i −0.0571770 + 0.0990335i
\(334\) −8.91827e7 + 5.14896e7i −2.39354 + 1.38191i
\(335\) 1.06143e6i 0.0282330i
\(336\) 7.13146e7 5.24097e7i 1.88001 1.38164i
\(337\) 1.62829e7 0.425443 0.212721 0.977113i \(-0.431767\pi\)
0.212721 + 0.977113i \(0.431767\pi\)
\(338\) 4.50934e7 + 7.81041e7i 1.16778 + 2.02266i
\(339\) 3.20286e7 + 1.84917e7i 0.822126 + 0.474655i
\(340\) −735716. + 1.27430e6i −0.0187186 + 0.0324216i
\(341\) 1.09487e7 6.32122e6i 0.276120 0.159418i
\(342\) 2.27405e7i 0.568489i
\(343\) 3.81694e7 1.30962e7i 0.945873 0.324537i
\(344\) −1.21956e8 −2.99591
\(345\) −8460.00 14653.1i −0.000206022 0.000356840i
\(346\) −1.27228e8 7.34554e7i −3.07154 1.77335i
\(347\) −3.79000e7 + 6.56447e7i −0.907091 + 1.57113i −0.0890043 + 0.996031i \(0.528368\pi\)
−0.818086 + 0.575096i \(0.804965\pi\)
\(348\) −5.87270e7 + 3.39060e7i −1.39348 + 0.804524i
\(349\) 2.89740e7i 0.681605i 0.940135 + 0.340802i \(0.110699\pi\)
−0.940135 + 0.340802i \(0.889301\pi\)
\(350\) −4.73819e7 6.44732e7i −1.10512 1.50375i
\(351\) 1.23385e7 0.285325
\(352\) −4.46551e7 7.73449e7i −1.02387 1.77339i
\(353\) 5.10415e7 + 2.94688e7i 1.16038 + 0.669945i 0.951395 0.307974i \(-0.0996511\pi\)
0.208984 + 0.977919i \(0.432984\pi\)
\(354\) −1.22379e7 + 2.11967e7i −0.275866 + 0.477814i
\(355\) −8.95693e6 + 5.17129e6i −0.200205 + 0.115588i
\(356\) 3.41329e7i 0.756525i
\(357\) −682718. + 1.55620e6i −0.0150050 + 0.0342027i
\(358\) −4.69053e7 −1.02229
\(359\) −3.87579e7 6.71306e7i −0.837677 1.45090i −0.891832 0.452366i \(-0.850580\pi\)
0.0541559 0.998532i \(-0.482753\pi\)
\(360\) 9.76823e6 + 5.63969e6i 0.209367 + 0.120878i
\(361\) −5.51894e6 + 9.55909e6i −0.117310 + 0.203187i
\(362\) 1.18485e8 6.84075e7i 2.49769 1.44204i
\(363\) 2.15474e7i 0.450479i
\(364\) 2.20151e7 + 1.99012e8i 0.456474 + 4.12643i
\(365\) 1.42915e7 0.293900
\(366\) −2.82249e7 4.88870e7i −0.575691 0.997126i
\(367\) −3.58541e7 2.07004e7i −0.725338 0.418774i 0.0913764 0.995816i \(-0.470873\pi\)
−0.816714 + 0.577042i \(0.804207\pi\)
\(368\) 347732. 602290.i 0.00697753 0.0120854i
\(369\) 2.11570e7 1.22150e7i 0.421090 0.243117i
\(370\) 7.00083e6i 0.138212i
\(371\) 3.38268e7 3.74199e6i 0.662429 0.0732791i
\(372\) −5.66067e7 −1.09961
\(373\) 2.39688e7 + 4.15152e7i 0.461871 + 0.799983i 0.999054 0.0434819i \(-0.0138451\pi\)
−0.537184 + 0.843465i \(0.680512\pi\)
\(374\) 2.67827e6 + 1.54630e6i 0.0511965 + 0.0295583i
\(375\) 6.15779e6 1.06656e7i 0.116770 0.202251i
\(376\) 1.02489e8 5.91722e7i 1.92803 1.11315i
\(377\) 7.90647e7i 1.47557i
\(378\) 1.85556e7 + 8.14052e6i 0.343558 + 0.150722i
\(379\) −1.73029e7 −0.317835 −0.158917 0.987292i \(-0.550800\pi\)
−0.158917 + 0.987292i \(0.550800\pi\)
\(380\) −1.38905e7 2.40591e7i −0.253145 0.438459i
\(381\) 1.43644e7 + 8.29327e6i 0.259724 + 0.149952i
\(382\) −1.12398e7 + 1.94679e7i −0.201636 + 0.349244i
\(383\) −5.60339e7 + 3.23512e7i −0.997365 + 0.575829i −0.907468 0.420122i \(-0.861987\pi\)
−0.0898976 + 0.995951i \(0.528654\pi\)
\(384\) 1.42356e8i 2.51409i
\(385\) 4.45489e6 3.27394e6i 0.0780646 0.0573704i
\(386\) 2.65462e7 0.461573
\(387\) −8.24665e6 1.42836e7i −0.142280 0.246437i
\(388\) 1.66487e8 + 9.61214e7i 2.85027 + 1.64560i
\(389\) 3.97139e7 6.87865e7i 0.674673 1.16857i −0.301891 0.953342i \(-0.597618\pi\)
0.976564 0.215226i \(-0.0690488\pi\)
\(390\) −1.77157e7 + 1.02281e7i −0.298651 + 0.172426i
\(391\) 13354.0i 0.000223399i
\(392\) −6.31271e7 + 2.01747e8i −1.04799 + 3.34927i
\(393\) 1.01710e7 0.167566
\(394\) −5.01093e7 8.67919e7i −0.819276 1.41903i
\(395\) 234494. + 135385.i 0.00380488 + 0.00219675i
\(396\) 1.35859e7 2.35315e7i 0.218778 0.378934i
\(397\) −2.19165e7 + 1.26535e7i −0.350267 + 0.202227i −0.664803 0.747019i \(-0.731484\pi\)
0.314536 + 0.949246i \(0.398151\pi\)
\(398\) 1.03925e8i 1.64843i
\(399\) −1.90002e7 2.58537e7i −0.299115 0.407010i
\(400\) 2.47581e8 3.86846
\(401\) −5.65920e6 9.80202e6i −0.0877651 0.152014i 0.818801 0.574077i \(-0.194639\pi\)
−0.906566 + 0.422064i \(0.861306\pi\)
\(402\) −8.65056e6 4.99440e6i −0.133158 0.0768786i
\(403\) 3.30000e7 5.71577e7i 0.504195 0.873292i
\(404\) 8.26546e7 4.77206e7i 1.25350 0.723706i
\(405\) 1.52542e6i 0.0229628i
\(406\) 5.21643e7 1.18904e8i 0.779462 1.77672i
\(407\) −1.08422e7 −0.160818
\(408\) −4.45109e6 7.70951e6i −0.0655368 0.113513i
\(409\) −3.32964e7 1.92237e7i −0.486661 0.280974i 0.236527 0.971625i \(-0.423991\pi\)
−0.723188 + 0.690651i \(0.757324\pi\)
\(410\) −2.02516e7 + 3.50768e7i −0.293838 + 0.508942i
\(411\) 6.20663e7 3.58340e7i 0.893985 0.516142i
\(412\) 1.87208e8i 2.67691i
\(413\) −3.79694e6 3.43236e7i −0.0538994 0.487240i
\(414\) 159229. 0.00224399
\(415\) −9.20688e6 1.59468e7i −0.128815 0.223115i
\(416\) −4.03780e8 2.33123e8i −5.60874 3.23821i
\(417\) −1.53375e7 + 2.65654e7i −0.211518 + 0.366360i
\(418\) −5.05666e7 + 2.91947e7i −0.692365 + 0.399737i
\(419\) 5.55673e7i 0.755401i −0.925928 0.377701i \(-0.876715\pi\)
0.925928 0.377701i \(-0.123285\pi\)
\(420\) −2.46040e7 + 2.72174e6i −0.332092 + 0.0367366i
\(421\) −9.27660e7 −1.24320 −0.621602 0.783333i \(-0.713518\pi\)
−0.621602 + 0.783333i \(0.713518\pi\)
\(422\) −8.32339e6 1.44165e7i −0.110755 0.191833i
\(423\) 1.38606e7 + 8.00242e6i 0.183131 + 0.105730i
\(424\) −8.91416e7 + 1.54398e8i −1.16945 + 2.02555i
\(425\) −4.11703e6 + 2.37697e6i −0.0536312 + 0.0309640i
\(426\) 9.73308e7i 1.25899i
\(427\) 7.29349e7 + 3.19972e7i 0.936811 + 0.410988i
\(428\) 6.43099e7 0.820251
\(429\) 1.58403e7 + 2.74363e7i 0.200629 + 0.347499i
\(430\) 2.36812e7 + 1.36723e7i 0.297850 + 0.171964i
\(431\) −6.58699e7 + 1.14090e8i −0.822726 + 1.42500i 0.0809190 + 0.996721i \(0.474215\pi\)
−0.903645 + 0.428282i \(0.859119\pi\)
\(432\) −5.42993e7 + 3.13497e7i −0.673508 + 0.388850i
\(433\) 9.64602e7i 1.18819i 0.804396 + 0.594093i \(0.202489\pi\)
−0.804396 + 0.594093i \(0.797511\pi\)
\(434\) 8.73388e7 6.41861e7i 1.06841 0.785184i
\(435\) 9.77485e6 0.118752
\(436\) −6.74182e7 1.16772e8i −0.813426 1.40889i
\(437\) −218349. 126064.i −0.00261641 0.00151059i
\(438\) −6.72465e7 + 1.16474e8i −0.800289 + 1.38614i
\(439\) −8.41958e7 + 4.86105e7i −0.995169 + 0.574561i −0.906815 0.421528i \(-0.861494\pi\)
−0.0883535 + 0.996089i \(0.528161\pi\)
\(440\) 2.89613e7i 0.339985i
\(441\) −2.78975e7 + 6.24861e6i −0.325274 + 0.0728564i
\(442\) 1.61450e7 0.186970
\(443\) 8.31985e7 + 1.44104e8i 0.956983 + 1.65754i 0.729764 + 0.683699i \(0.239630\pi\)
0.227219 + 0.973844i \(0.427037\pi\)
\(444\) 4.20422e7 + 2.42731e7i 0.480326 + 0.277317i
\(445\) −2.46006e6 + 4.26096e6i −0.0279168 + 0.0483534i
\(446\) 2.26085e8 1.30530e8i 2.54840 1.47132i
\(447\) 4.84995e7i 0.543019i
\(448\) −2.38258e8 3.24200e8i −2.64980 3.60562i
\(449\) −1.03969e8 −1.14859 −0.574294 0.818649i \(-0.694723\pi\)
−0.574294 + 0.818649i \(0.694723\pi\)
\(450\) 2.83423e7 + 4.90902e7i 0.311026 + 0.538713i
\(451\) 5.43234e7 + 3.13637e7i 0.592185 + 0.341898i
\(452\) 2.12592e8 3.68220e8i 2.30214 3.98742i
\(453\) −2.34794e7 + 1.35558e7i −0.252576 + 0.145825i
\(454\) 2.95713e8i 3.16011i
\(455\) 1.15952e7 2.64302e7i 0.123096 0.280586i
\(456\) 1.68076e8 1.77260
\(457\) 3.54494e7 + 6.14002e7i 0.371416 + 0.643311i 0.989784 0.142578i \(-0.0455391\pi\)
−0.618368 + 0.785889i \(0.712206\pi\)
\(458\) 5.75009e7 + 3.31982e7i 0.598520 + 0.345556i
\(459\) 601963. 1.04263e6i 0.00622489 0.0107818i
\(460\) −168462. + 97261.4i −0.00173072 + 0.000999234i
\(461\) 2.94715e7i 0.300815i −0.988624 0.150408i \(-0.951941\pi\)
0.988624 0.150408i \(-0.0480586\pi\)
\(462\) 5.72046e6 + 5.17119e7i 0.0580103 + 0.524402i
\(463\) −7.67219e7 −0.772994 −0.386497 0.922291i \(-0.626315\pi\)
−0.386497 + 0.922291i \(0.626315\pi\)
\(464\) 2.00888e8 + 3.47949e8i 2.01095 + 3.48306i
\(465\) 7.06646e6 + 4.07982e6i 0.0702818 + 0.0405772i
\(466\) −9.49717e7 + 1.64496e8i −0.938505 + 1.62554i
\(467\) −1.69532e8 + 9.78791e7i −1.66456 + 0.961035i −0.694068 + 0.719910i \(0.744183\pi\)
−0.970494 + 0.241126i \(0.922483\pi\)
\(468\) 1.41851e8i 1.38387i
\(469\) 1.40078e7 1.54956e6i 0.135784 0.0150207i
\(470\) −2.65348e7 −0.255578
\(471\) 6.61727e6 + 1.14614e7i 0.0633310 + 0.109692i
\(472\) 1.56665e8 + 9.04507e7i 1.48986 + 0.860174i
\(473\) 2.11744e7 3.66751e7i 0.200091 0.346568i
\(474\) −2.20675e6 + 1.27407e6i −0.0207214 + 0.0119635i
\(475\) 8.97559e7i 0.837495i
\(476\) 1.78910e7 + 7.84895e6i 0.165888 + 0.0727764i
\(477\) −2.41110e7 −0.222157
\(478\) 8.09393e7 + 1.40191e8i 0.741098 + 1.28362i
\(479\) −2.78233e7 1.60638e7i −0.253164 0.146164i 0.368048 0.929807i \(-0.380026\pi\)
−0.621212 + 0.783642i \(0.713360\pi\)
\(480\) 2.88212e7 4.99197e7i 0.260608 0.451387i
\(481\) −4.90186e7 + 2.83009e7i −0.440480 + 0.254311i
\(482\) 1.74854e8i 1.56148i
\(483\) −181028. + 133039.i −0.00160658 + 0.00118069i
\(484\) −2.47722e8 −2.18489
\(485\) −1.38555e7 2.39985e7i −0.121450 0.210358i
\(486\) −1.24320e7 7.17762e6i −0.108301 0.0625276i
\(487\) 8.66229e7 1.50035e8i 0.749973 1.29899i −0.197862 0.980230i \(-0.563400\pi\)
0.947835 0.318762i \(-0.103267\pi\)
\(488\) −3.61325e8 + 2.08611e8i −3.10912 + 1.79505i
\(489\) 2.09387e7i 0.179070i
\(490\) 3.48755e7 3.20978e7i 0.296437 0.272826i
\(491\) 2.27726e7 0.192383 0.0961917 0.995363i \(-0.469334\pi\)
0.0961917 + 0.995363i \(0.469334\pi\)
\(492\) −1.40431e8 2.43234e8i −1.17915 2.04235i
\(493\) −6.68115e6 3.85737e6i −0.0557584 0.0321922i
\(494\) −1.52411e8 + 2.63984e8i −1.26426 + 2.18976i
\(495\) −3.39197e6 + 1.95836e6i −0.0279664 + 0.0161464i
\(496\) 3.35387e8i 2.74853i
\(497\) 8.13217e7 + 1.10656e8i 0.662426 + 0.901372i
\(498\) 1.73286e8 1.40306
\(499\) 7.15586e7 + 1.23943e8i 0.575917 + 0.997518i 0.995941 + 0.0900050i \(0.0286883\pi\)
−0.420024 + 0.907513i \(0.637978\pi\)
\(500\) −1.22618e8 7.07938e7i −0.980947 0.566350i
\(501\) −5.14669e7 + 8.91433e7i −0.409275 + 0.708885i
\(502\) 3.56077e8 2.05581e8i 2.81470 1.62507i
\(503\) 1.94323e8i 1.52693i −0.645848 0.763466i \(-0.723496\pi\)
0.645848 0.763466i \(-0.276504\pi\)
\(504\) 6.01667e7 1.37145e8i 0.469964 1.07124i
\(505\) −1.37575e7 −0.106823
\(506\) 204421. + 354067.i 0.00157788 + 0.00273296i
\(507\) 7.80696e7 + 4.50735e7i 0.599043 + 0.345858i
\(508\) 9.53446e7 1.65142e8i 0.727286 1.25970i
\(509\) −1.45925e7 + 8.42496e6i −0.110656 + 0.0638873i −0.554307 0.832313i \(-0.687016\pi\)
0.443651 + 0.896200i \(0.353683\pi\)
\(510\) 1.99602e6i 0.0150472i
\(511\) −2.08639e7 1.88606e8i −0.156363 1.41349i
\(512\) 4.65851e8 3.47086
\(513\) 1.13652e7 + 1.96852e7i 0.0841835 + 0.145810i
\(514\) −3.47515e8 2.00638e8i −2.55909 1.47749i
\(515\) 1.34927e7 2.33700e7i 0.0987817 0.171095i
\(516\) −1.64213e8 + 9.48087e7i −1.19525 + 0.690079i
\(517\) 4.10946e7i 0.297381i
\(518\) −9.23902e7 + 1.02204e7i −0.664717 + 0.0735322i
\(519\) −1.46846e8 −1.05041
\(520\) 7.55964e7 + 1.30937e8i 0.537640 + 0.931219i
\(521\) 5.01224e7 + 2.89382e7i 0.354421 + 0.204625i 0.666631 0.745388i \(-0.267736\pi\)
−0.312210 + 0.950013i \(0.601069\pi\)
\(522\) −4.59940e7 + 7.96640e7i −0.323363 + 0.560081i
\(523\) 2.20396e8 1.27246e8i 1.54063 0.889483i 0.541831 0.840487i \(-0.317731\pi\)
0.998799 0.0489961i \(-0.0156022\pi\)
\(524\) 1.16932e8i 0.812716i
\(525\) −7.32382e7 3.21303e7i −0.506127 0.222043i
\(526\) 2.63848e8 1.81299
\(527\) −3.21997e6 5.57715e6i −0.0219999 0.0381049i
\(528\) −1.39421e8 8.04946e7i −0.947164 0.546846i
\(529\) 7.40171e7 1.28201e8i 0.499994 0.866015i
\(530\) 3.46186e7 1.99871e7i 0.232532 0.134252i
\(531\) 2.44650e7i 0.163404i
\(532\) −2.97231e8 + 2.18438e8i −1.97405 + 1.45075i
\(533\) 3.27469e8 2.16266
\(534\) −2.31509e7 4.00985e7i −0.152035 0.263333i
\(535\) −8.02808e6 4.63501e6i −0.0524264 0.0302684i
\(536\) −3.69137e7 + 6.39364e7i −0.239714 + 0.415197i
\(537\) −4.06033e7 + 2.34423e7i −0.262203 + 0.151383i
\(538\) 4.11626e8i 2.64336i
\(539\) −4.97099e7 5.40117e7i −0.317451 0.344923i
\(540\) 1.75372e7 0.111373
\(541\) 3.10487e7 + 5.37779e7i 0.196088 + 0.339635i 0.947257 0.320476i \(-0.103843\pi\)
−0.751168 + 0.660111i \(0.770509\pi\)
\(542\) −8.59981e7 4.96510e7i −0.540121 0.311839i
\(543\) 6.83773e7 1.18433e8i 0.427083 0.739730i
\(544\) −3.93988e7 + 2.27469e7i −0.244730 + 0.141295i
\(545\) 1.94362e7i 0.120066i
\(546\) 1.60844e8 + 2.18862e8i 0.988159 + 1.34460i
\(547\) 7.72887e6 0.0472230 0.0236115 0.999721i \(-0.492484\pi\)
0.0236115 + 0.999721i \(0.492484\pi\)
\(548\) −4.11970e8 7.13553e8i −2.50336 4.33595i
\(549\) −4.88654e7 2.82124e7i −0.295314 0.170500i
\(550\) −7.27725e7 + 1.26046e8i −0.437401 + 0.757600i
\(551\) 1.26142e8 7.28282e7i 0.754060 0.435357i
\(552\) 1.17686e6i 0.00699695i
\(553\) 1.44435e6 3.29228e6i 0.00854078 0.0194680i
\(554\) −5.38214e8 −3.16538
\(555\) −3.49887e6 6.06022e6i −0.0204667 0.0354494i
\(556\) 3.05412e8 + 1.76330e8i 1.77690 + 1.02589i
\(557\) −1.26683e7 + 2.19422e7i −0.0733083 + 0.126974i −0.900349 0.435168i \(-0.856689\pi\)
0.827041 + 0.562142i \(0.190022\pi\)
\(558\) −6.65003e7 + 3.83939e7i −0.382755 + 0.220984i
\(559\) 2.21082e8i 1.26566i
\(560\) 1.61259e7 + 1.45775e8i 0.0918249 + 0.830079i
\(561\) 3.09124e6 0.0175083
\(562\) −3.13666e8 5.43285e8i −1.76709 3.06069i
\(563\) 6.59556e7 + 3.80795e7i 0.369596 + 0.213386i 0.673282 0.739386i \(-0.264884\pi\)
−0.303686 + 0.952772i \(0.598217\pi\)
\(564\) 9.20008e7 1.59350e8i 0.512807 0.888209i
\(565\) −5.30775e7 + 3.06443e7i −0.294283 + 0.169904i
\(566\) 4.56227e7i 0.251612i
\(567\) 2.01310e7 2.22693e6i 0.110437 0.0122168i
\(568\) −7.19374e8 −3.92563
\(569\) 2.66483e7 + 4.61562e7i 0.144655 + 0.250549i 0.929244 0.369466i \(-0.120460\pi\)
−0.784589 + 0.620016i \(0.787126\pi\)
\(570\) −3.26366e7 1.88427e7i −0.176230 0.101746i
\(571\) −2.05691e7 + 3.56267e7i −0.110486 + 0.191367i −0.915966 0.401255i \(-0.868574\pi\)
0.805480 + 0.592622i \(0.201907\pi\)
\(572\) 3.15425e8 1.82110e8i 1.68542 0.973076i
\(573\) 2.24697e7i 0.119435i
\(574\) 4.92474e8 + 2.16053e8i 2.60404 + 1.14242i
\(575\) −628469. −0.00330583
\(576\) 1.42518e8 + 2.46848e8i 0.745764 + 1.29170i
\(577\) −7.59861e7 4.38706e7i −0.395555 0.228374i 0.289009 0.957326i \(-0.406674\pi\)
−0.684564 + 0.728953i \(0.740007\pi\)
\(578\) −1.87429e8 + 3.24637e8i −0.970630 + 1.68118i
\(579\) 2.29795e7 1.32672e7i 0.118387 0.0683510i
\(580\) 1.12378e8i 0.575965i
\(581\) −1.97009e8 + 1.44784e8i −1.00452 + 0.738230i
\(582\) 2.60780e8 1.32284
\(583\) −3.09540e7 5.36140e7i −0.156211 0.270565i
\(584\) 8.60864e8 + 4.97020e8i 4.32211 + 2.49537i
\(585\) −1.02236e7 + 1.77078e7i −0.0510667 + 0.0884501i
\(586\) −1.57670e8 + 9.10307e7i −0.783530 + 0.452371i
\(587\) 4.55880e7i 0.225391i 0.993630 + 0.112695i \(0.0359485\pi\)
−0.993630 + 0.112695i \(0.964052\pi\)
\(588\) 7.18379e7 + 3.20727e8i 0.353363 + 1.57762i
\(589\) 1.21588e8 0.595039
\(590\) −2.02806e7 3.51270e7i −0.0987473 0.171035i
\(591\) −8.67536e7 5.00872e7i −0.420267 0.242641i
\(592\) 1.43814e8 2.49094e8i 0.693166 1.20060i
\(593\) −1.25860e8 + 7.26654e7i −0.603565 + 0.348468i −0.770443 0.637509i \(-0.779965\pi\)
0.166878 + 0.985978i \(0.446631\pi\)
\(594\) 3.68590e7i 0.175867i
\(595\) −1.66771e6 2.26928e6i −0.00791718 0.0107730i
\(596\) −5.57581e8 −2.63372
\(597\) 5.19395e7 + 8.99619e7i 0.244104 + 0.422801i
\(598\) 1.84841e6 + 1.06718e6i 0.00864361 + 0.00499039i
\(599\) −2.81542e7 + 4.87645e7i −0.130998 + 0.226894i −0.924061 0.382244i \(-0.875151\pi\)
0.793064 + 0.609139i \(0.208485\pi\)
\(600\) 3.62827e8 2.09478e8i 1.67975 0.969807i
\(601\) 2.39440e8i 1.10299i 0.834177 + 0.551497i \(0.185943\pi\)
−0.834177 + 0.551497i \(0.814057\pi\)
\(602\) 1.45863e8 3.32482e8i 0.668582 1.52398i
\(603\) −9.98439e6 −0.0455376
\(604\) 1.55846e8 + 2.69934e8i 0.707271 + 1.22503i
\(605\) 3.09242e7 + 1.78541e7i 0.139647 + 0.0806254i
\(606\) 6.47338e7 1.12122e8i 0.290879 0.503818i
\(607\) −2.54893e8 + 1.47163e8i −1.13970 + 0.658008i −0.946357 0.323122i \(-0.895268\pi\)
−0.193347 + 0.981130i \(0.561934\pi\)
\(608\) 8.58938e8i 3.82165i
\(609\) −1.42701e7 1.28999e8i −0.0631794 0.571130i
\(610\) 9.35483e7 0.412141
\(611\) 1.07267e8 + 1.85792e8i 0.470266 + 0.814525i
\(612\) −1.19867e7 6.92054e6i −0.0522933 0.0301916i
\(613\) −1.10391e8 + 1.91204e8i −0.479241 + 0.830070i −0.999717 0.0238066i \(-0.992421\pi\)
0.520475 + 0.853877i \(0.325755\pi\)
\(614\) 4.32451e8 2.49676e8i 1.86824 1.07863i
\(615\) 4.04853e7i 0.174049i
\(616\) 3.82203e8 4.22801e7i 1.63513 0.180881i
\(617\) 3.86786e8 1.64670 0.823352 0.567531i \(-0.192101\pi\)
0.823352 + 0.567531i \(0.192101\pi\)
\(618\) 1.26975e8 + 2.19928e8i 0.537965 + 0.931783i
\(619\) 1.13096e8 + 6.52959e7i 0.476842 + 0.275305i 0.719100 0.694907i \(-0.244554\pi\)
−0.242257 + 0.970212i \(0.577888\pi\)
\(620\) 4.69042e7 8.12404e7i 0.196805 0.340876i
\(621\) 137835. 79579.3i 0.000575554 0.000332296i
\(622\) 3.78321e7i 0.157213i
\(623\) 5.98234e7 + 2.62451e7i 0.247404 + 0.108538i
\(624\) −8.40446e8 −3.45904
\(625\) −1.06652e8 1.84727e8i −0.436847 0.756641i
\(626\) −3.79138e8 2.18895e8i −1.54552 0.892305i
\(627\) −2.91818e7 + 5.05443e7i −0.118388 + 0.205055i
\(628\) 1.31768e8 7.60762e7i 0.532023 0.307164i
\(629\) 5.52292e6i 0.0221930i
\(630\) −2.70582e7 + 1.98853e7i −0.108212 + 0.0795262i
\(631\) −1.10414e8 −0.439475 −0.219738 0.975559i \(-0.570520\pi\)
−0.219738 + 0.975559i \(0.570520\pi\)
\(632\) 9.41667e6 + 1.63102e7i 0.0373032 + 0.0646111i
\(633\) −1.44102e7 8.31972e6i −0.0568144 0.0328018i
\(634\) −5.99029e7 + 1.03755e8i −0.235061 + 0.407137i
\(635\) −2.38045e7 + 1.37436e7i −0.0929691 + 0.0536757i
\(636\) 2.77195e8i 1.07749i
\(637\) −3.65728e8 1.14437e8i −1.41494 0.442739i
\(638\) −2.36192e8 −0.909499
\(639\) −4.86439e7 8.42537e7i −0.186434 0.322914i
\(640\) −2.04305e8 1.17956e8i −0.779362 0.449965i
\(641\) 2.56393e7 4.44085e7i 0.0973491 0.168614i −0.813238 0.581932i \(-0.802297\pi\)
0.910587 + 0.413318i \(0.135630\pi\)
\(642\) 7.55498e7 4.36187e7i 0.285515 0.164842i
\(643\) 2.95342e8i 1.11094i 0.831535 + 0.555472i \(0.187463\pi\)
−0.831535 + 0.555472i \(0.812537\pi\)
\(644\) 1.52950e6 + 2.08121e6i 0.00572652 + 0.00779215i
\(645\) 2.73326e7 0.101860
\(646\) 1.48715e7 + 2.57582e7i 0.0551642 + 0.0955472i
\(647\) −2.54170e8 1.46745e8i −0.938449 0.541814i −0.0489752 0.998800i \(-0.515596\pi\)
−0.889474 + 0.456986i \(0.848929\pi\)
\(648\) −5.30499e7 + 9.18852e7i −0.194966 + 0.337692i
\(649\) −5.44013e7 + 3.14086e7i −0.199010 + 0.114899i
\(650\) 7.59820e8i 2.76675i
\(651\) 4.35254e7 9.92124e7i 0.157761 0.359603i
\(652\) 2.40724e8 0.868515
\(653\) −1.58530e8 2.74583e8i −0.569342 0.986129i −0.996631 0.0820143i \(-0.973865\pi\)
0.427289 0.904115i \(-0.359469\pi\)
\(654\) −1.58403e8 9.14538e7i −0.566277 0.326940i
\(655\) −8.42764e6 + 1.45971e7i −0.0299904 + 0.0519449i
\(656\) −1.44113e9 + 8.32035e8i −5.10494 + 2.94734i
\(657\) 1.34434e8i 0.474036i
\(658\) 3.87377e7 + 3.50181e8i 0.135974 + 1.22918i
\(659\) 1.86604e8 0.652026 0.326013 0.945365i \(-0.394295\pi\)
0.326013 + 0.945365i \(0.394295\pi\)
\(660\) 2.25145e7 + 3.89962e7i 0.0783124 + 0.135641i
\(661\) 2.56295e8 + 1.47972e8i 0.887433 + 0.512359i 0.873102 0.487538i \(-0.162105\pi\)
0.0143307 + 0.999897i \(0.495438\pi\)
\(662\) 3.99868e8 6.92592e8i 1.37830 2.38728i
\(663\) 1.39758e7 8.06893e6i 0.0479552 0.0276870i
\(664\) 1.28076e9i 4.37486i
\(665\) 5.28480e7 5.84615e6i 0.179707 0.0198795i
\(666\) 6.58536e7 0.222924
\(667\) −509942. 883246.i −0.00171848 0.00297649i
\(668\) 1.02485e9 + 5.91696e8i 3.43819 + 1.98504i
\(669\) 1.30473e8 2.25985e8i 0.435753 0.754747i
\(670\) 1.43356e7 8.27669e6i 0.0476643 0.0275190i
\(671\) 1.44878e8i 0.479552i
\(672\) −7.00868e8 3.07477e8i −2.30956 1.01322i
\(673\) 1.17111e8 0.384197 0.192098 0.981376i \(-0.438471\pi\)
0.192098 + 0.981376i \(0.438471\pi\)
\(674\) −1.26968e8 2.19916e8i −0.414683 0.718252i
\(675\) 4.90686e7 + 2.83298e7i 0.159548 + 0.0921152i
\(676\) 5.18193e8 8.97537e8i 1.67746 2.90544i
\(677\) −8.12613e7 + 4.69162e7i −0.261889 + 0.151202i −0.625196 0.780468i \(-0.714981\pi\)
0.363307 + 0.931670i \(0.381648\pi\)
\(678\) 5.76769e8i 1.85060i
\(679\) −2.96482e8 + 2.17887e8i −0.947084 + 0.696020i
\(680\) 1.47526e7 0.0469183
\(681\) −1.47791e8 2.55982e8i −0.467958 0.810527i
\(682\) −1.70748e8 9.85815e7i −0.538274 0.310772i
\(683\) 1.47967e8 2.56287e8i 0.464412 0.804385i −0.534763 0.845002i \(-0.679599\pi\)
0.999175 + 0.0406170i \(0.0129323\pi\)
\(684\) 2.26313e8 1.30662e8i 0.707199 0.408301i
\(685\) 1.18768e8i 0.369510i
\(686\) −4.74509e8 4.13394e8i −1.46985 1.28054i
\(687\) 6.63671e7 0.204683
\(688\) 5.61728e8 + 9.72941e8i 1.72489 + 2.98759i
\(689\) −2.79892e8 1.61596e8i −0.855723 0.494052i
\(690\) −131937. + 228521.i −0.000401622 + 0.000695630i
\(691\) −9.29926e6 + 5.36893e6i −0.0281848 + 0.0162725i −0.514026 0.857774i \(-0.671847\pi\)
0.485841 + 0.874047i \(0.338513\pi\)
\(692\) 1.68823e9i 5.09464i
\(693\) 3.07964e7 + 4.19050e7i 0.0925338 + 0.125912i
\(694\) 1.18213e9 3.53660
\(695\) −2.54173e7 4.40240e7i −0.0757137 0.131140i
\(696\) 5.88798e8 + 3.39943e8i 1.74638 + 1.00827i
\(697\) 1.59764e7 2.76719e7i 0.0471824 0.0817222i
\(698\) 3.91322e8 2.25930e8i 1.15072 0.664366i
\(699\) 1.89860e8i 0.555906i
\(700\) −3.69390e8 + 8.41992e8i −1.07694 + 2.45479i
\(701\) 1.38696e8 0.402634 0.201317 0.979526i \(-0.435478\pi\)
0.201317 + 0.979526i \(0.435478\pi\)
\(702\) −9.62114e7 1.66643e8i −0.278109 0.481699i
\(703\) −9.03043e7 5.21372e7i −0.259922 0.150066i
\(704\) −3.65933e8 + 6.33815e8i −1.04878 + 1.81654i
\(705\) −2.29697e7 + 1.32616e7i −0.0655523 + 0.0378466i
\(706\) 9.19153e8i 2.61200i
\(707\) 2.00843e7 + 1.81558e8i 0.0568327 + 0.513757i
\(708\) 2.81265e8 0.792532
\(709\) −1.68784e8 2.92343e8i −0.473580 0.820264i 0.525963 0.850508i \(-0.323705\pi\)
−0.999543 + 0.0302432i \(0.990372\pi\)
\(710\) 1.39686e8 + 8.06480e7i 0.390282 + 0.225330i
\(711\) −1.27351e6 + 2.20578e6i −0.00354318 + 0.00613696i
\(712\) −2.96369e8 + 1.71109e8i −0.821094 + 0.474059i
\(713\) 851358.i 0.00234879i
\(714\) 2.63415e7 2.91395e6i 0.0723680 0.00800549i
\(715\) −5.25011e7 −0.143632
\(716\) 2.69507e8 + 4.66800e8i 0.734229 + 1.27172i
\(717\) 1.40129e8 + 8.09035e7i 0.380164 + 0.219488i
\(718\) −6.04442e8 + 1.04692e9i −1.63298 + 2.82841i
\(719\) −9.78596e7 + 5.64993e7i −0.263279 + 0.152004i −0.625830 0.779960i \(-0.715239\pi\)
0.362550 + 0.931964i \(0.381906\pi\)
\(720\) 1.03905e8i 0.278381i
\(721\) −3.28113e8 1.43946e8i −0.875421 0.384055i
\(722\) 1.72140e8 0.457372
\(723\) 8.73886e7 + 1.51362e8i 0.231228 + 0.400498i
\(724\) −1.36158e9 7.86108e8i −3.58779 2.07141i
\(725\) 1.81536e8 3.14430e8i 0.476376 0.825107i
\(726\) −2.91018e8 + 1.68020e8i −0.760520 + 0.439086i
\(727\) 4.17662e8i 1.08698i −0.839415 0.543490i \(-0.817102\pi\)
0.839415 0.543490i \(-0.182898\pi\)
\(728\) 1.61762e9 1.18880e9i 4.19258 3.08117i
\(729\) −1.43489e7 −0.0370370
\(730\) −1.11440e8 1.93020e8i −0.286467 0.496175i
\(731\) −1.86820e7 1.07860e7i −0.0478267 0.0276128i
\(732\) −3.24348e8 + 5.61787e8i −0.826947 + 1.43231i
\(733\) 6.34509e8 3.66334e8i 1.61111 0.930177i 0.622000 0.783017i \(-0.286320\pi\)
0.989113 0.147159i \(-0.0470130\pi\)
\(734\) 6.45658e8i 1.63273i
\(735\) 1.41479e7 4.52152e7i 0.0356313 0.113874i
\(736\) −6.01427e6 −0.0150851
\(737\) −1.28181e7 2.22016e7i −0.0320201 0.0554604i
\(738\) −3.29951e8 1.90497e8i −0.820881 0.473936i
\(739\) −2.93464e8 + 5.08295e8i −0.727146 + 1.25945i 0.230938 + 0.972968i \(0.425820\pi\)
−0.958084 + 0.286486i \(0.907513\pi\)
\(740\) −6.96721e7 + 4.02252e7i −0.171935 + 0.0992665i
\(741\) 3.04688e8i 0.748860i
\(742\) −3.14309e8 4.27685e8i −0.769388 1.04692i
\(743\) −3.73015e8 −0.909411 −0.454705 0.890642i \(-0.650255\pi\)
−0.454705 + 0.890642i \(0.650255\pi\)
\(744\) 2.83770e8 + 4.91505e8i 0.689046 + 1.19346i
\(745\) 6.96052e7 + 4.01866e7i 0.168334 + 0.0971879i
\(746\) 3.73802e8 6.47444e8i 0.900379 1.55950i
\(747\) 1.50004e8 8.66048e7i 0.359866 0.207769i
\(748\) 3.55388e7i 0.0849177i
\(749\) −4.94484e7 + 1.12713e8i −0.117681 + 0.268244i
\(750\) −1.92066e8 −0.455267
\(751\) 2.73909e8 + 4.74424e8i 0.646675 + 1.12007i 0.983912 + 0.178655i \(0.0571745\pi\)
−0.337236 + 0.941420i \(0.609492\pi\)
\(752\) −9.44126e8 5.45091e8i −2.22012 1.28179i
\(753\) 2.05490e8 3.55920e8i 0.481290 0.833618i
\(754\) −1.06785e9 + 6.16521e8i −2.49112 + 1.43825i
\(755\) 4.49293e7i 0.104397i
\(756\) −2.56022e7 2.31439e8i −0.0592531 0.535637i
\(757\) 4.01667e8 0.925931 0.462966 0.886376i \(-0.346785\pi\)
0.462966 + 0.886376i \(0.346785\pi\)
\(758\) 1.34922e8 + 2.33692e8i 0.309796 + 0.536583i
\(759\) 353911. + 204330.i 0.000809410 + 0.000467313i
\(760\) −1.39267e8 + 2.41218e8i −0.317254 + 0.549501i
\(761\) −9.49273e7 + 5.48063e7i −0.215396 + 0.124359i −0.603816 0.797123i \(-0.706354\pi\)
0.388421 + 0.921482i \(0.373021\pi\)
\(762\) 2.58673e8i 0.584636i
\(763\) 2.56500e8 2.83745e7i 0.577448 0.0638784i
\(764\) 2.58325e8 0.579278
\(765\) 997569. +