Properties

Label 43.7.h.a.3.18
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.18
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.18

$q$-expansion

\(f(q)\) \(=\) \(q+(5.49027 - 11.4007i) q^{2} +(-8.01752 - 0.600830i) q^{3} +(-59.9287 - 75.1482i) q^{4} +(-46.2364 + 149.895i) q^{5} +(-50.8682 + 88.1064i) q^{6} +(-276.764 + 159.790i) q^{7} +(-396.227 + 90.4362i) q^{8} +(-656.938 - 99.0175i) q^{9} +O(q^{10})\) \(q+(5.49027 - 11.4007i) q^{2} +(-8.01752 - 0.600830i) q^{3} +(-59.9287 - 75.1482i) q^{4} +(-46.2364 + 149.895i) q^{5} +(-50.8682 + 88.1064i) q^{6} +(-276.764 + 159.790i) q^{7} +(-396.227 + 90.4362i) q^{8} +(-656.938 - 99.0175i) q^{9} +(1455.05 + 1350.09i) q^{10} +(-986.465 + 1236.99i) q^{11} +(435.329 + 638.510i) q^{12} +(1134.23 - 1052.41i) q^{13} +(302.201 + 4032.59i) q^{14} +(460.763 - 1174.01i) q^{15} +(224.492 - 983.563i) q^{16} +(-2701.03 + 833.157i) q^{17} +(-4735.63 + 6945.90i) q^{18} +(-1518.53 - 10074.8i) q^{19} +(14035.2 - 5508.42i) q^{20} +(2314.97 - 1114.83i) q^{21} +(8686.52 + 18037.7i) q^{22} +(5544.47 + 14127.1i) q^{23} +(3231.10 - 487.009i) q^{24} +(-7420.68 - 5059.33i) q^{25} +(-5770.97 - 18709.0i) q^{26} +(10921.7 + 2492.82i) q^{27} +(28594.1 + 11222.3i) q^{28} +(-24658.9 + 1847.93i) q^{29} +(-10854.7 - 11698.6i) q^{30} +(-37089.6 + 25287.2i) q^{31} +(-30316.7 - 24176.8i) q^{32} +(8652.23 - 9324.88i) q^{33} +(-5330.83 + 35367.8i) q^{34} +(-11155.1 - 48873.7i) q^{35} +(31928.5 + 55301.7i) q^{36} +(-20695.5 - 11948.5i) q^{37} +(-123196. - 38001.0i) q^{38} +(-9726.05 + 7756.27i) q^{39} +(4764.20 - 63573.8i) q^{40} +(2713.46 + 1306.74i) q^{41} -32512.9i q^{42} +(78770.7 - 10795.6i) q^{43} +152075. q^{44} +(45216.7 - 93893.4i) q^{45} +(191499. + 14350.8i) q^{46} +(-45911.6 - 57571.3i) q^{47} +(-2390.82 + 7750.86i) q^{48} +(-7758.82 + 13438.7i) q^{49} +(-98421.3 + 56823.5i) q^{50} +(22156.1 - 5056.99i) q^{51} +(-147060. - 22165.7i) q^{52} +(59318.3 + 55039.3i) q^{53} +(88383.0 - 110829. i) q^{54} +(-139807. - 205060. i) q^{55} +(95210.7 - 88342.6i) q^{56} +(6121.60 + 81687.0i) q^{57} +(-114317. + 291274. i) q^{58} +(48242.4 - 211364. i) q^{59} +(-115837. + 35731.1i) q^{60} +(-170724. + 250406. i) q^{61} +(84659.5 + 561679. i) q^{62} +(197639. - 77567.6i) q^{63} +(-383905. + 184879. i) q^{64} +(105308. + 218675. i) q^{65} +(-58806.8 - 149837. i) q^{66} +(269252. - 40583.2i) q^{67} +(224479. + 153047. i) q^{68} +(-35965.0 - 116596. i) q^{69} +(-618437. - 141154. i) q^{70} +(370684. + 145483. i) q^{71} +(269251. - 20177.6i) q^{72} +(177333. + 191120. i) q^{73} +(-249845. + 170342. i) q^{74} +(56455.7 + 45021.9i) q^{75} +(-666097. + 717882. i) q^{76} +(75360.1 - 499981. i) q^{77} +(35027.9 + 153467. i) q^{78} +(-364551. - 631422. i) q^{79} +(137051. + 79126.6i) q^{80} +(376733. + 116207. i) q^{81} +(29795.3 - 23761.0i) q^{82} +(-51145.4 + 682488. i) q^{83} +(-222511. - 107156. i) q^{84} -443392. i q^{85} +(309395. - 957309. i) q^{86} +198814. q^{87} +(278995. - 579340. i) q^{88} +(160199. + 12005.2i) q^{89} +(-822195. - 1.03100e6i) q^{90} +(-145750. + 472509. i) q^{91} +(729352. - 1.26327e6i) q^{92} +(312560. - 180456. i) q^{93} +(-908418. + 207340. i) q^{94} +(1.58037e6 + 238202. i) q^{95} +(228539. + 212053. i) q^{96} +(59448.8 - 74546.4i) q^{97} +(110612. + 162238. i) q^{98} +(770530. - 714947. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.49027 11.4007i 0.686284 1.42508i −0.208247 0.978076i \(-0.566776\pi\)
0.894531 0.447007i \(-0.147510\pi\)
\(3\) −8.01752 0.600830i −0.296945 0.0222530i −0.0745755 0.997215i \(-0.523760\pi\)
−0.222370 + 0.974962i \(0.571379\pi\)
\(4\) −59.9287 75.1482i −0.936386 1.17419i
\(5\) −46.2364 + 149.895i −0.369892 + 1.19916i 0.559113 + 0.829091i \(0.311142\pi\)
−0.929005 + 0.370068i \(0.879335\pi\)
\(6\) −50.8682 + 88.1064i −0.235501 + 0.407900i
\(7\) −276.764 + 159.790i −0.806893 + 0.465860i −0.845876 0.533380i \(-0.820922\pi\)
0.0389826 + 0.999240i \(0.487588\pi\)
\(8\) −396.227 + 90.4362i −0.773881 + 0.176633i
\(9\) −656.938 99.0175i −0.901149 0.135826i
\(10\) 1455.05 + 1350.09i 1.45505 + 1.35009i
\(11\) −986.465 + 1236.99i −0.741146 + 0.929367i −0.999325 0.0367298i \(-0.988306\pi\)
0.258180 + 0.966097i \(0.416877\pi\)
\(12\) 435.329 + 638.510i 0.251926 + 0.369508i
\(13\) 1134.23 1052.41i 0.516264 0.479023i −0.378476 0.925611i \(-0.623552\pi\)
0.894740 + 0.446588i \(0.147361\pi\)
\(14\) 302.201 + 4032.59i 0.110131 + 1.46960i
\(15\) 460.763 1174.01i 0.136522 0.347853i
\(16\) 224.492 983.563i 0.0548076 0.240128i
\(17\) −2701.03 + 833.157i −0.549771 + 0.169582i −0.557182 0.830391i \(-0.688117\pi\)
0.00741040 + 0.999973i \(0.497641\pi\)
\(18\) −4735.63 + 6945.90i −0.812008 + 1.19100i
\(19\) −1518.53 10074.8i −0.221392 1.46884i −0.772825 0.634619i \(-0.781157\pi\)
0.551433 0.834219i \(-0.314081\pi\)
\(20\) 14035.2 5508.42i 1.75440 0.688552i
\(21\) 2314.97 1114.83i 0.249970 0.120379i
\(22\) 8686.52 + 18037.7i 0.815789 + 1.69400i
\(23\) 5544.47 + 14127.1i 0.455697 + 1.16110i 0.955508 + 0.294964i \(0.0953075\pi\)
−0.499811 + 0.866134i \(0.666597\pi\)
\(24\) 3231.10 487.009i 0.233731 0.0352293i
\(25\) −7420.68 5059.33i −0.474923 0.323797i
\(26\) −5770.97 18709.0i −0.328344 1.06446i
\(27\) 10921.7 + 2492.82i 0.554882 + 0.126648i
\(28\) 28594.1 + 11222.3i 1.30257 + 0.511222i
\(29\) −24658.9 + 1847.93i −1.01107 + 0.0757691i −0.569949 0.821680i \(-0.693037\pi\)
−0.441119 + 0.897449i \(0.645418\pi\)
\(30\) −10854.7 11698.6i −0.402027 0.433282i
\(31\) −37089.6 + 25287.2i −1.24499 + 0.848821i −0.992908 0.118884i \(-0.962068\pi\)
−0.252084 + 0.967705i \(0.581116\pi\)
\(32\) −30316.7 24176.8i −0.925192 0.737816i
\(33\) 8652.23 9324.88i 0.240761 0.259479i
\(34\) −5330.83 + 35367.8i −0.135631 + 0.899851i
\(35\) −11155.1 48873.7i −0.260177 1.13991i
\(36\) 31928.5 + 55301.7i 0.684338 + 1.18531i
\(37\) −20695.5 11948.5i −0.408574 0.235890i 0.281603 0.959531i \(-0.409134\pi\)
−0.690177 + 0.723641i \(0.742467\pi\)
\(38\) −123196. 38001.0i −2.24515 0.692538i
\(39\) −9726.05 + 7756.27i −0.163962 + 0.130755i
\(40\) 4764.20 63573.8i 0.0744406 0.993341i
\(41\) 2713.46 + 1306.74i 0.0393707 + 0.0189599i 0.453465 0.891274i \(-0.350188\pi\)
−0.414095 + 0.910234i \(0.635902\pi\)
\(42\) 32512.9i 0.438842i
\(43\) 78770.7 10795.6i 0.990739 0.135782i
\(44\) 152075. 1.78525
\(45\) 45216.7 93893.4i 0.496205 1.03038i
\(46\) 191499. + 14350.8i 1.96740 + 0.147436i
\(47\) −45911.6 57571.3i −0.442210 0.554514i 0.509914 0.860225i \(-0.329677\pi\)
−0.952124 + 0.305712i \(0.901106\pi\)
\(48\) −2390.82 + 7750.86i −0.0216184 + 0.0700852i
\(49\) −7758.82 + 13438.7i −0.0659489 + 0.114227i
\(50\) −98421.3 + 56823.5i −0.787370 + 0.454588i
\(51\) 22156.1 5056.99i 0.167026 0.0381225i
\(52\) −147060. 22165.7i −1.04589 0.157642i
\(53\) 59318.3 + 55039.3i 0.398438 + 0.369697i 0.853792 0.520614i \(-0.174297\pi\)
−0.455354 + 0.890310i \(0.650487\pi\)
\(54\) 88383.0 110829.i 0.561290 0.703836i
\(55\) −139807. 205060.i −0.840315 1.23252i
\(56\) 95210.7 88342.6i 0.542153 0.503044i
\(57\) 6121.60 + 81687.0i 0.0330552 + 0.441091i
\(58\) −114317. + 291274.i −0.585902 + 1.49285i
\(59\) 48242.4 211364.i 0.234894 1.02914i −0.710624 0.703572i \(-0.751587\pi\)
0.945519 0.325568i \(-0.105555\pi\)
\(60\) −115837. + 35731.1i −0.536284 + 0.165422i
\(61\) −170724. + 250406.i −0.752149 + 1.10320i 0.239074 + 0.971001i \(0.423156\pi\)
−0.991223 + 0.132199i \(0.957796\pi\)
\(62\) 84659.5 + 561679.i 0.355223 + 2.35675i
\(63\) 197639. 77567.6i 0.790408 0.310212i
\(64\) −383905. + 184879.i −1.46448 + 0.705258i
\(65\) 105308. + 218675.i 0.383463 + 0.796269i
\(66\) −58806.8 149837.i −0.204548 0.521180i
\(67\) 269252. 40583.2i 0.895229 0.134934i 0.314717 0.949186i \(-0.398090\pi\)
0.580512 + 0.814251i \(0.302852\pi\)
\(68\) 224479. + 153047.i 0.713920 + 0.486742i
\(69\) −35965.0 116596.i −0.109479 0.354923i
\(70\) −618437. 141154.i −1.80302 0.411528i
\(71\) 370684. + 145483.i 1.03569 + 0.406478i 0.821436 0.570301i \(-0.193173\pi\)
0.214252 + 0.976778i \(0.431269\pi\)
\(72\) 269251. 20177.6i 0.721374 0.0540595i
\(73\) 177333. + 191120.i 0.455850 + 0.491289i 0.918594 0.395203i \(-0.129326\pi\)
−0.462744 + 0.886492i \(0.653135\pi\)
\(74\) −249845. + 170342.i −0.616561 + 0.420364i
\(75\) 56455.7 + 45021.9i 0.133821 + 0.106719i
\(76\) −666097. + 717882.i −1.51739 + 1.63536i
\(77\) 75360.1 499981.i 0.165070 1.09517i
\(78\) 35027.9 + 153467.i 0.0738127 + 0.323394i
\(79\) −364551. 631422.i −0.739397 1.28067i −0.952767 0.303702i \(-0.901777\pi\)
0.213370 0.976971i \(-0.431556\pi\)
\(80\) 137051. + 79126.6i 0.267678 + 0.154544i
\(81\) 376733. + 116207.i 0.708889 + 0.218663i
\(82\) 29795.3 23761.0i 0.0540389 0.0430946i
\(83\) −51145.4 + 682488.i −0.0894484 + 1.19361i 0.754176 + 0.656672i \(0.228036\pi\)
−0.843625 + 0.536933i \(0.819583\pi\)
\(84\) −222511. 107156.i −0.375417 0.180791i
\(85\) 443392.i 0.721990i
\(86\) 309395. 957309.i 0.486428 1.50507i
\(87\) 198814. 0.301918
\(88\) 278995. 579340.i 0.409401 0.850130i
\(89\) 160199. + 12005.2i 0.227242 + 0.0170294i 0.187865 0.982195i \(-0.439843\pi\)
0.0393777 + 0.999224i \(0.487462\pi\)
\(90\) −822195. 1.03100e6i −1.12784 1.41427i
\(91\) −145750. + 472509.i −0.193412 + 0.627027i
\(92\) 729352. 1.26327e6i 0.936642 1.62231i
\(93\) 312560. 180456.i 0.388583 0.224349i
\(94\) −908418. + 207340.i −1.09371 + 0.249632i
\(95\) 1.58037e6 + 238202.i 1.84326 + 0.277827i
\(96\) 228539. + 212053.i 0.258313 + 0.239679i
\(97\) 59448.8 74546.4i 0.0651370 0.0816792i −0.748196 0.663478i \(-0.769080\pi\)
0.813333 + 0.581799i \(0.197651\pi\)
\(98\) 110612. + 162238.i 0.117523 + 0.172375i
\(99\) 770530. 714947.i 0.794116 0.736832i
\(100\) 64511.8 + 860850.i 0.0645118 + 0.860850i
\(101\) −252207. + 642614.i −0.244790 + 0.623714i −0.999476 0.0323717i \(-0.989694\pi\)
0.754686 + 0.656086i \(0.227789\pi\)
\(102\) 63990.1 280359.i 0.0602993 0.264188i
\(103\) −186968. + 57672.0i −0.171102 + 0.0527781i −0.379123 0.925346i \(-0.623774\pi\)
0.208020 + 0.978124i \(0.433298\pi\)
\(104\) −354237. + 519570.i −0.314915 + 0.461896i
\(105\) 60071.5 + 398548.i 0.0518920 + 0.344281i
\(106\) 953159. 374087.i 0.800290 0.314091i
\(107\) −661582. + 318601.i −0.540048 + 0.260074i −0.683963 0.729516i \(-0.739745\pi\)
0.143915 + 0.989590i \(0.454031\pi\)
\(108\) −467195. 970140.i −0.370874 0.770129i
\(109\) −895198. 2.28093e6i −0.691257 1.76130i −0.647267 0.762263i \(-0.724088\pi\)
−0.0439905 0.999032i \(-0.514007\pi\)
\(110\) −3.10540e6 + 468064.i −2.33313 + 0.351663i
\(111\) 158748. + 108232.i 0.116075 + 0.0791385i
\(112\) 95032.2 + 308087.i 0.0676420 + 0.219290i
\(113\) −1.45828e6 332843.i −1.01066 0.230677i −0.315035 0.949080i \(-0.602016\pi\)
−0.695627 + 0.718403i \(0.744873\pi\)
\(114\) 964896. + 378694.i 0.651277 + 0.255607i
\(115\) −2.37393e6 + 177902.i −1.56090 + 0.116973i
\(116\) 1.61665e6 + 1.74233e6i 1.03572 + 1.11624i
\(117\) −849327. + 579061.i −0.530295 + 0.361549i
\(118\) −2.14482e6 1.71044e6i −1.30540 1.04103i
\(119\) 614418. 662185.i 0.364605 0.392951i
\(120\) −76394.2 + 506842.i −0.0442096 + 0.293311i
\(121\) −162816. 713345.i −0.0919056 0.402665i
\(122\) 1.91747e6 + 3.32116e6i 1.05596 + 1.82898i
\(123\) −20970.1 12107.1i −0.0112690 0.00650617i
\(124\) 4.12302e6 + 1.27178e6i 2.16247 + 0.667034i
\(125\) −814794. + 649776.i −0.417174 + 0.332686i
\(126\) 200770. 2.67908e6i 0.100366 1.33929i
\(127\) −1.66787e6 803205.i −0.814238 0.392116i −0.0200580 0.999799i \(-0.506385\pi\)
−0.794180 + 0.607682i \(0.792099\pi\)
\(128\) 2.91011e6i 1.38765i
\(129\) −638032. + 39226.2i −0.297217 + 0.0182729i
\(130\) 3.07122e6 1.39791
\(131\) 269716. 560071.i 0.119976 0.249132i −0.832328 0.554283i \(-0.812993\pi\)
0.952304 + 0.305151i \(0.0987069\pi\)
\(132\) −1.21927e6 91371.3i −0.530123 0.0397272i
\(133\) 2.03012e6 + 2.54569e6i 0.862913 + 1.08206i
\(134\) 1.01559e6 3.29246e6i 0.422089 1.36838i
\(135\) −878642. + 1.52185e6i −0.357117 + 0.618545i
\(136\) 994872. 574390.i 0.395504 0.228344i
\(137\) 1.50138e6 342680.i 0.583887 0.133268i 0.0796335 0.996824i \(-0.474625\pi\)
0.504253 + 0.863556i \(0.331768\pi\)
\(138\) −1.52672e6 230117.i −0.580929 0.0875610i
\(139\) 2.54529e6 + 2.36168e6i 0.947747 + 0.879381i 0.992822 0.119603i \(-0.0381621\pi\)
−0.0450746 + 0.998984i \(0.514353\pi\)
\(140\) −3.00426e6 + 3.76722e6i −1.09485 + 1.37289i
\(141\) 333507. + 489164.i 0.118973 + 0.174501i
\(142\) 3.69376e6 3.42731e6i 1.29004 1.19698i
\(143\) 182943. + 2.44120e6i 0.0625614 + 0.834824i
\(144\) −244867. + 623911.i −0.0820055 + 0.208947i
\(145\) 863146. 3.78169e6i 0.283126 1.24046i
\(146\) 3.15250e6 972417.i 1.01297 0.312460i
\(147\) 70280.9 103083.i 0.0221251 0.0324516i
\(148\) 342342. + 2.27129e6i 0.105603 + 0.700628i
\(149\) −4.33948e6 + 1.70312e6i −1.31183 + 0.514857i −0.915156 0.403100i \(-0.867933\pi\)
−0.396679 + 0.917957i \(0.629837\pi\)
\(150\) 823236. 396450.i 0.243922 0.117467i
\(151\) 1.55666e6 + 3.23245e6i 0.452131 + 0.938859i 0.995078 + 0.0990925i \(0.0315940\pi\)
−0.542947 + 0.839767i \(0.682692\pi\)
\(152\) 1.51280e6 + 3.85456e6i 0.430777 + 1.09760i
\(153\) 1.85690e6 279883.i 0.518460 0.0781453i
\(154\) −5.28637e6 3.60419e6i −1.44742 0.986836i
\(155\) −2.07554e6 6.72872e6i −0.557359 1.80691i
\(156\) 1.16574e6 + 266072.i 0.307063 + 0.0700852i
\(157\) −6.95787e6 2.73076e6i −1.79795 0.705643i −0.993796 0.111220i \(-0.964524\pi\)
−0.804152 0.594423i \(-0.797380\pi\)
\(158\) −9.20011e6 + 689453.i −2.33250 + 0.174797i
\(159\) −442517. 476920.i −0.110088 0.118646i
\(160\) 5.02571e6 3.42647e6i 1.22698 0.836541i
\(161\) −3.79188e6 3.02392e6i −0.908608 0.724591i
\(162\) 3.39320e6 3.65700e6i 0.798113 0.860161i
\(163\) −450832. + 2.99108e6i −0.104100 + 0.690661i 0.874521 + 0.484988i \(0.161176\pi\)
−0.978621 + 0.205672i \(0.934062\pi\)
\(164\) −64415.6 282223.i −0.0146036 0.0639825i
\(165\) 997704. + 1.72807e6i 0.222101 + 0.384690i
\(166\) 7.50001e6 + 4.33014e6i 1.63960 + 0.946623i
\(167\) 5.63045e6 + 1.73677e6i 1.20891 + 0.372899i 0.832747 0.553654i \(-0.186767\pi\)
0.376163 + 0.926553i \(0.377243\pi\)
\(168\) −816433. + 651084.i −0.172184 + 0.137312i
\(169\) −181800. + 2.42595e6i −0.0376646 + 0.502599i
\(170\) −5.05497e6 2.43434e6i −1.02890 0.495490i
\(171\) 6.76886e6i 1.35371i
\(172\) −5.53189e6 5.27251e6i −1.08715 1.03617i
\(173\) −7.42126e6 −1.43331 −0.716654 0.697429i \(-0.754327\pi\)
−0.716654 + 0.697429i \(0.754327\pi\)
\(174\) 1.09154e6 2.26661e6i 0.207201 0.430258i
\(175\) 2.86221e6 + 214493.i 0.534057 + 0.0400220i
\(176\) 995202. + 1.24794e6i 0.182546 + 0.228906i
\(177\) −513778. + 1.66563e6i −0.0926522 + 0.300371i
\(178\) 1.01640e6 1.76046e6i 0.180221 0.312152i
\(179\) 2.33687e6 1.34919e6i 0.407452 0.235242i −0.282243 0.959343i \(-0.591078\pi\)
0.689694 + 0.724101i \(0.257745\pi\)
\(180\) −9.76570e6 + 2.22896e6i −1.67450 + 0.382194i
\(181\) 197297. + 29737.8i 0.0332725 + 0.00501502i 0.165657 0.986183i \(-0.447025\pi\)
−0.132385 + 0.991198i \(0.542263\pi\)
\(182\) 4.58671e6 + 4.25585e6i 0.760830 + 0.705947i
\(183\) 1.51923e6 1.90506e6i 0.247897 0.310853i
\(184\) −3.47447e6 5.09611e6i −0.557744 0.818060i
\(185\) 2.74791e6 2.54969e6i 0.433998 0.402691i
\(186\) −341286. 4.55414e6i −0.0530371 0.707730i
\(187\) 1.63386e6 4.16302e6i 0.249857 0.636624i
\(188\) −1.57496e6 + 6.90035e6i −0.237026 + 1.03848i
\(189\) −3.42107e6 + 1.05526e6i −0.506731 + 0.156306i
\(190\) 1.13923e7 1.67094e7i 1.66093 2.43613i
\(191\) 1.03957e6 + 6.89712e6i 0.149195 + 0.989846i 0.930657 + 0.365893i \(0.119236\pi\)
−0.781462 + 0.623953i \(0.785526\pi\)
\(192\) 3.18905e6 1.25161e6i 0.450565 0.176834i
\(193\) −8.33715e6 + 4.01496e6i −1.15970 + 0.558482i −0.911934 0.410337i \(-0.865411\pi\)
−0.247767 + 0.968820i \(0.579697\pi\)
\(194\) −523489. 1.08704e6i −0.0716972 0.148881i
\(195\) −712927. 1.81651e6i −0.0961482 0.244982i
\(196\) 1.47487e6 222301.i 0.195878 0.0295238i
\(197\) 1.01462e7 + 6.91755e6i 1.32710 + 0.904802i 0.999203 0.0399109i \(-0.0127074\pi\)
0.327898 + 0.944713i \(0.393660\pi\)
\(198\) −3.92045e6 1.27098e7i −0.505057 1.63736i
\(199\) −7.64452e6 1.74481e6i −0.970043 0.221406i −0.291992 0.956421i \(-0.594318\pi\)
−0.678051 + 0.735015i \(0.737175\pi\)
\(200\) 3.39782e6 + 1.33355e6i 0.424727 + 0.166693i
\(201\) −2.18312e6 + 163602.i −0.268837 + 0.0201465i
\(202\) 5.94154e6 + 6.40345e6i 0.720849 + 0.776891i
\(203\) 6.52943e6 4.45169e6i 0.780526 0.532154i
\(204\) −1.70781e6 1.36194e6i −0.201164 0.160423i
\(205\) −321334. + 346316.i −0.0372988 + 0.0401986i
\(206\) −369006. + 2.44820e6i −0.0422116 + 0.280056i
\(207\) −2.24355e6 9.82961e6i −0.252944 1.10822i
\(208\) −780489. 1.35185e6i −0.0867315 0.150223i
\(209\) 1.39603e7 + 8.06000e6i 1.52917 + 0.882869i
\(210\) 4.87352e6 + 1.50328e6i 0.526242 + 0.162324i
\(211\) 1.44256e7 1.15040e7i 1.53563 1.22463i 0.650288 0.759688i \(-0.274648\pi\)
0.885343 0.464938i \(-0.153923\pi\)
\(212\) 581240. 7.75610e6i 0.0610025 0.814022i
\(213\) −2.88456e6 1.38913e6i −0.298497 0.143749i
\(214\) 9.29169e6i 0.948098i
\(215\) −2.02387e6 + 1.23065e7i −0.203642 + 1.23828i
\(216\) −4.55293e6 −0.451783
\(217\) 6.22442e6 1.29251e7i 0.609144 1.26490i
\(218\) −3.09190e7 2.31706e6i −2.98439 0.223649i
\(219\) −1.30694e6 1.63885e6i −0.124430 0.156030i
\(220\) −7.03141e6 + 2.27953e7i −0.660350 + 2.14080i
\(221\) −2.18677e6 + 3.78759e6i −0.202593 + 0.350902i
\(222\) 2.10549e6 1.21560e6i 0.192439 0.111105i
\(223\) −8.01475e6 + 1.82932e6i −0.722729 + 0.164958i −0.568035 0.823004i \(-0.692296\pi\)
−0.154694 + 0.987962i \(0.549439\pi\)
\(224\) 1.22538e7 + 1.84696e6i 1.09025 + 0.164329i
\(225\) 4.37396e6 + 4.05844e6i 0.383997 + 0.356297i
\(226\) −1.18010e7 + 1.47980e7i −1.02233 + 1.28197i
\(227\) 5.71826e6 + 8.38715e6i 0.488862 + 0.717029i 0.988835 0.149012i \(-0.0476093\pi\)
−0.499973 + 0.866041i \(0.666657\pi\)
\(228\) 5.77178e6 5.35543e6i 0.486973 0.451845i
\(229\) 1.05110e6 + 1.40260e7i 0.0875264 + 1.16796i 0.852085 + 0.523404i \(0.175338\pi\)
−0.764558 + 0.644554i \(0.777043\pi\)
\(230\) −1.10053e7 + 2.80411e7i −0.904523 + 2.30469i
\(231\) −904605. + 3.96333e6i −0.0733877 + 0.321532i
\(232\) 9.60341e6 2.96226e6i 0.769063 0.237224i
\(233\) 402736. 590705.i 0.0318385 0.0466985i −0.809990 0.586444i \(-0.800527\pi\)
0.841828 + 0.539746i \(0.181480\pi\)
\(234\) 1.93865e6 + 1.28621e7i 0.151304 + 1.00384i
\(235\) 1.07524e7 4.22002e6i 0.828520 0.325170i
\(236\) −1.87747e7 + 9.04142e6i −1.42836 + 0.687861i
\(237\) 2.54342e6 + 5.28147e6i 0.191062 + 0.396744i
\(238\) −4.17603e6 1.06403e7i −0.309765 0.789269i
\(239\) 8.40030e6 1.26614e6i 0.615320 0.0927446i 0.166015 0.986123i \(-0.446910\pi\)
0.449305 + 0.893379i \(0.351672\pi\)
\(240\) −1.05127e6 716744.i −0.0760468 0.0518478i
\(241\) −5.73787e6 1.86017e7i −0.409920 1.32893i −0.891696 0.452635i \(-0.850484\pi\)
0.481776 0.876295i \(-0.339992\pi\)
\(242\) −9.02651e6 2.06024e6i −0.636904 0.145369i
\(243\) −1.05528e7 4.14167e6i −0.735444 0.288640i
\(244\) 2.90488e7 2.17690e6i 1.99967 0.149855i
\(245\) −1.65565e6 1.78436e6i −0.112582 0.121335i
\(246\) −253161. + 172602.i −0.0170056 + 0.0115942i
\(247\) −1.23252e7 9.82900e6i −0.817904 0.652257i
\(248\) 1.24090e7 1.33737e7i 0.813545 0.876793i
\(249\) 820119. 5.44113e6i 0.0531225 0.352445i
\(250\) 2.93444e6 + 1.28566e7i 0.187804 + 0.822825i
\(251\) −1.70780e6 2.95800e6i −0.107998 0.187058i 0.806961 0.590605i \(-0.201111\pi\)
−0.914959 + 0.403546i \(0.867777\pi\)
\(252\) −1.76733e7 1.02037e7i −1.10437 0.637611i
\(253\) −2.29444e7 7.07743e6i −1.41682 0.437032i
\(254\) −1.83141e7 + 1.46050e7i −1.11760 + 0.891254i
\(255\) −266404. + 3.55491e6i −0.0160664 + 0.214392i
\(256\) 8.60729e6 + 4.14505e6i 0.513035 + 0.247064i
\(257\) 4.96551e6i 0.292526i −0.989246 0.146263i \(-0.953275\pi\)
0.989246 0.146263i \(-0.0467245\pi\)
\(258\) −3.05576e6 + 7.48935e6i −0.177935 + 0.436099i
\(259\) 7.63703e6 0.439567
\(260\) 1.01221e7 2.10187e7i 0.575902 1.19587i
\(261\) 1.63824e7 + 1.22769e6i 0.921415 + 0.0690505i
\(262\) −4.90437e6 6.14988e6i −0.272696 0.341950i
\(263\) 2.52204e6 8.17625e6i 0.138639 0.449456i −0.859452 0.511216i \(-0.829195\pi\)
0.998091 + 0.0617601i \(0.0196714\pi\)
\(264\) −2.58494e6 + 4.47724e6i −0.140488 + 0.243332i
\(265\) −1.09928e7 + 6.34669e6i −0.590704 + 0.341043i
\(266\) 4.01685e7 9.16819e6i 2.13423 0.487123i
\(267\) −1.27718e6 192505.i −0.0670996 0.0101136i
\(268\) −1.91857e7 1.78017e7i −0.996719 0.924820i
\(269\) −1.03408e7 + 1.29670e7i −0.531248 + 0.666164i −0.972955 0.230996i \(-0.925802\pi\)
0.441707 + 0.897159i \(0.354373\pi\)
\(270\) 1.25262e7 + 1.83725e7i 0.636394 + 0.933419i
\(271\) 2.16313e6 2.00709e6i 0.108686 0.100846i −0.623958 0.781458i \(-0.714476\pi\)
0.732644 + 0.680612i \(0.238286\pi\)
\(272\) 213103. + 2.84367e6i 0.0105897 + 0.141310i
\(273\) 1.45245e6 3.70078e6i 0.0713861 0.181889i
\(274\) 4.33620e6 1.89981e7i 0.210793 0.923547i
\(275\) 1.35786e7 4.18843e6i 0.652914 0.201397i
\(276\) −6.60661e6 + 9.69012e6i −0.314233 + 0.460895i
\(277\) 2.01349e6 + 1.33586e7i 0.0947348 + 0.628525i 0.984931 + 0.172947i \(0.0553290\pi\)
−0.890196 + 0.455577i \(0.849433\pi\)
\(278\) 4.08991e7 1.60517e7i 1.90361 0.747114i
\(279\) 2.68694e7 1.29396e7i 1.23722 0.595812i
\(280\) 8.83990e6 + 1.83562e7i 0.402692 + 0.836199i
\(281\) −1.46137e7 3.72352e7i −0.658631 1.67816i −0.732387 0.680888i \(-0.761594\pi\)
0.0737562 0.997276i \(-0.476501\pi\)
\(282\) 7.40784e6 1.11655e6i 0.330327 0.0497888i
\(283\) −2.66972e7 1.82018e7i −1.17789 0.803075i −0.193856 0.981030i \(-0.562100\pi\)
−0.984039 + 0.177955i \(0.943052\pi\)
\(284\) −1.12818e7 3.65749e7i −0.492522 1.59672i
\(285\) −1.25275e7 2.85932e6i −0.541166 0.123518i
\(286\) 2.88357e7 + 1.13172e7i 1.23263 + 0.483771i
\(287\) −959794. + 71926.6i −0.0406006 + 0.00304259i
\(288\) 1.75223e7 + 1.88845e7i 0.733522 + 0.790548i
\(289\) −1.33420e7 + 9.09642e6i −0.552748 + 0.376857i
\(290\) −3.83749e7 3.06029e7i −1.57345 1.25478i
\(291\) −521422. + 561959.i −0.0211597 + 0.0228048i
\(292\) 3.73496e6 2.47798e7i 0.150016 0.995291i
\(293\) −8.87897e6 3.89013e7i −0.352988 1.54654i −0.770242 0.637751i \(-0.779865\pi\)
0.417255 0.908790i \(-0.362992\pi\)
\(294\) −789355. 1.36720e6i −0.0310621 0.0538011i
\(295\) 2.94518e7 + 1.70040e7i 1.14722 + 0.662346i
\(296\) 9.28069e6 + 2.86271e6i 0.357853 + 0.110383i
\(297\) −1.38575e7 + 1.10510e7i −0.528951 + 0.421824i
\(298\) −4.40822e6 + 5.88236e7i −0.166577 + 2.22281i
\(299\) 2.11562e7 + 1.01883e7i 0.791453 + 0.381143i
\(300\) 6.94065e6i 0.257061i
\(301\) −2.00759e7 + 1.55746e7i −0.736165 + 0.571107i
\(302\) 4.53985e7 1.64824
\(303\) 2.40818e6 5.00064e6i 0.0865687 0.179762i
\(304\) −1.02501e7 768136.i −0.364843 0.0273412i
\(305\) −2.96408e7 3.71684e7i −1.04470 1.31001i
\(306\) 7.00405e6 2.27066e7i 0.244447 0.792478i
\(307\) −7.33208e6 + 1.26995e7i −0.253403 + 0.438907i −0.964461 0.264227i \(-0.914883\pi\)
0.711057 + 0.703134i \(0.248217\pi\)
\(308\) −4.20889e7 + 2.43001e7i −1.44051 + 0.831678i
\(309\) 1.53367e6 350051.i 0.0519825 0.0118647i
\(310\) −8.81072e7 1.32800e7i −2.95751 0.445773i
\(311\) 2.85156e7 + 2.64587e7i 0.947986 + 0.879603i 0.992847 0.119390i \(-0.0380940\pi\)
−0.0448610 + 0.998993i \(0.514284\pi\)
\(312\) 3.15228e6 3.95283e6i 0.103791 0.130150i
\(313\) 7.36694e6 + 1.08053e7i 0.240245 + 0.352374i 0.927358 0.374176i \(-0.122075\pi\)
−0.687113 + 0.726551i \(0.741122\pi\)
\(314\) −6.93331e7 + 6.43317e7i −2.23950 + 2.07795i
\(315\) 2.48886e6 + 3.32115e7i 0.0796285 + 1.06257i
\(316\) −2.56031e7 + 6.52357e7i −0.811394 + 2.06740i
\(317\) 2.39895e6 1.05105e7i 0.0753083 0.329947i −0.923214 0.384286i \(-0.874448\pi\)
0.998523 + 0.0543383i \(0.0173049\pi\)
\(318\) −7.86674e6 + 2.42657e6i −0.244632 + 0.0754590i
\(319\) 2.20393e7 3.23257e7i 0.678931 0.995809i
\(320\) −9.96201e6 6.60936e7i −0.304016 2.01702i
\(321\) 5.49568e6 2.15690e6i 0.166152 0.0652100i
\(322\) −5.52931e7 + 2.66278e7i −1.65617 + 0.797567i
\(323\) 1.24954e7 + 2.59470e7i 0.370804 + 0.769981i
\(324\) −1.38444e7 3.52749e7i −0.407041 1.03712i
\(325\) −1.37413e7 + 2.07116e6i −0.400292 + 0.0603343i
\(326\) 3.16251e7 + 2.15616e7i 0.912806 + 0.622341i
\(327\) 5.80682e6 + 1.88253e7i 0.166072 + 0.538391i
\(328\) −1.19332e6 272368.i −0.0338171 0.00771854i
\(329\) 2.19060e7 + 8.59747e6i 0.615142 + 0.241425i
\(330\) 2.51788e7 1.88689e6i 0.700638 0.0525056i
\(331\) 4.81208e7 + 5.18619e7i 1.32693 + 1.43009i 0.824940 + 0.565221i \(0.191209\pi\)
0.501993 + 0.864872i \(0.332600\pi\)
\(332\) 5.43528e7 3.70571e7i 1.48528 1.01265i
\(333\) 1.24125e7 + 9.89867e6i 0.336146 + 0.268067i
\(334\) 5.07130e7 5.46556e7i 1.36107 1.46688i
\(335\) −6.36604e6 + 4.22359e7i −0.169330 + 1.12343i
\(336\) −576815. 2.52719e6i −0.0152061 0.0666224i
\(337\) −2.61238e7 4.52478e7i −0.682570 1.18225i −0.974194 0.225713i \(-0.927529\pi\)
0.291624 0.956533i \(-0.405804\pi\)
\(338\) 2.66593e7 + 1.53918e7i 0.690397 + 0.398601i
\(339\) 1.14918e7 + 3.54476e6i 0.294978 + 0.0909887i
\(340\) −3.33201e7 + 2.65719e7i −0.847754 + 0.676062i
\(341\) 5.30755e6 7.08243e7i 0.133854 1.78615i
\(342\) 7.71694e7 + 3.71628e7i 1.92915 + 0.929032i
\(343\) 4.25574e7i 1.05461i
\(344\) −3.02347e7 + 1.14012e7i −0.742730 + 0.280076i
\(345\) 1.91400e7 0.466105
\(346\) −4.07447e7 + 8.46073e7i −0.983656 + 2.04258i
\(347\) 2.39053e7 + 1.79146e6i 0.572145 + 0.0428763i 0.357662 0.933851i \(-0.383574\pi\)
0.214483 + 0.976728i \(0.431193\pi\)
\(348\) −1.19147e7 1.49405e7i −0.282712 0.354509i
\(349\) −2.25201e7 + 7.30085e7i −0.529779 + 1.71750i 0.154238 + 0.988034i \(0.450708\pi\)
−0.684016 + 0.729467i \(0.739768\pi\)
\(350\) 1.81597e7 3.14535e7i 0.423549 0.733609i
\(351\) 1.50113e7 8.66675e6i 0.347133 0.200417i
\(352\) 5.98127e7 1.36519e7i 1.37140 0.313014i
\(353\) −1.90428e7 2.87024e6i −0.432918 0.0652519i −0.0710317 0.997474i \(-0.522629\pi\)
−0.361887 + 0.932222i \(0.617867\pi\)
\(354\) 1.61685e7 + 1.50022e7i 0.364468 + 0.338177i
\(355\) −3.89462e7 + 4.88370e7i −0.870524 + 1.09160i
\(356\) −8.69833e6 1.27581e7i −0.192791 0.282772i
\(357\) −5.32397e6 + 4.93992e6i −0.117012 + 0.108571i
\(358\) −2.55165e6 3.40494e7i −0.0556124 0.742096i
\(359\) 3.02170e7 7.69917e7i 0.653083 1.66403i −0.0909261 0.995858i \(-0.528983\pi\)
0.744009 0.668170i \(-0.232922\pi\)
\(360\) −9.42470e6 + 4.12923e7i −0.202004 + 0.885038i
\(361\) −5.42392e7 + 1.67306e7i −1.15290 + 0.355622i
\(362\) 1.42225e6 2.08605e6i 0.0299812 0.0439744i
\(363\) 876785. + 5.81709e6i 0.0183305 + 0.121615i
\(364\) 4.42428e7 1.73640e7i 0.917358 0.360036i
\(365\) −3.68471e7 + 1.77446e7i −0.757748 + 0.364912i
\(366\) −1.33779e7 2.77795e7i −0.272863 0.566607i
\(367\) −6.70290e6 1.70787e7i −0.135602 0.345507i 0.846903 0.531748i \(-0.178465\pi\)
−0.982504 + 0.186241i \(0.940369\pi\)
\(368\) 1.51396e7 2.28192e6i 0.303787 0.0457886i
\(369\) −1.65319e6 1.12712e6i −0.0329036 0.0224333i
\(370\) −1.39814e7 4.53265e7i −0.276023 0.894843i
\(371\) −2.52119e7 5.75446e6i −0.493724 0.112689i
\(372\) −3.22923e7 1.26738e7i −0.627292 0.246194i
\(373\) 8.88793e7 6.66059e6i 1.71267 0.128347i 0.818043 0.575156i \(-0.195059\pi\)
0.894629 + 0.446809i \(0.147440\pi\)
\(374\) −3.84908e7 4.14832e7i −0.735770 0.792972i
\(375\) 6.92304e6 4.72005e6i 0.131281 0.0895061i
\(376\) 2.33979e7 + 1.86592e7i 0.440163 + 0.351018i
\(377\) −2.60242e7 + 2.80474e7i −0.485683 + 0.523441i
\(378\) −6.75194e6 + 4.47962e7i −0.125012 + 0.829403i
\(379\) −6.03114e6 2.64241e7i −0.110785 0.485382i −0.999631 0.0271747i \(-0.991349\pi\)
0.888845 0.458207i \(-0.151508\pi\)
\(380\) −7.68089e7 1.33037e8i −1.39978 2.42449i
\(381\) 1.28896e7 + 7.44182e6i 0.233058 + 0.134556i
\(382\) 8.43392e7 + 2.60152e7i 1.51300 + 0.466699i
\(383\) −2.75403e7 + 2.19626e7i −0.490199 + 0.390920i −0.837159 0.546959i \(-0.815785\pi\)
0.346960 + 0.937880i \(0.387214\pi\)
\(384\) 1.74849e6 2.33319e7i 0.0308794 0.412056i
\(385\) 7.14602e7 + 3.44134e7i 1.25222 + 0.603040i
\(386\) 1.17092e8i 2.03595i
\(387\) −5.28164e7 707634.i −0.911246 0.0122089i
\(388\) −9.16472e6 −0.156900
\(389\) −7.10346e6 + 1.47505e7i −0.120676 + 0.250587i −0.952552 0.304375i \(-0.901553\pi\)
0.831876 + 0.554961i \(0.187267\pi\)
\(390\) −2.46235e7 1.84528e6i −0.415104 0.0311077i
\(391\) −2.67458e7 3.35382e7i −0.447431 0.561060i
\(392\) 1.85891e6 6.02644e6i 0.0308603 0.100047i
\(393\) −2.49896e6 + 4.32833e6i −0.0411701 + 0.0713087i
\(394\) 1.34570e8 7.76940e7i 2.20019 1.27028i
\(395\) 1.11502e8 2.54497e7i 1.80923 0.412944i
\(396\) −9.99038e7 1.50581e7i −1.60878 0.242485i
\(397\) −8.07728e7 7.49462e7i −1.29090 1.19778i −0.967886 0.251390i \(-0.919112\pi\)
−0.323018 0.946393i \(-0.604697\pi\)
\(398\) −6.18625e7 + 7.75731e7i −0.981247 + 1.23044i
\(399\) −1.47470e7 2.16299e7i −0.232159 0.340515i
\(400\) −6.64205e6 + 6.16292e6i −0.103782 + 0.0962957i
\(401\) 6.29306e6 + 8.39750e7i 0.0975952 + 1.30232i 0.804051 + 0.594560i \(0.202674\pi\)
−0.706456 + 0.707757i \(0.749707\pi\)
\(402\) −1.01207e7 + 2.57872e7i −0.155788 + 0.396941i
\(403\) −1.54555e7 + 6.77151e7i −0.236140 + 1.03460i
\(404\) 6.34057e7 1.95581e7i 0.961578 0.296607i
\(405\) −3.48376e7 + 5.10973e7i −0.524424 + 0.769189i
\(406\) −1.49039e7 9.88809e7i −0.222701 1.47752i
\(407\) 3.51956e7 1.38132e7i 0.522041 0.204886i
\(408\) −8.32152e6 + 4.00743e6i −0.122524 + 0.0590046i
\(409\) −3.04426e6 6.32148e6i −0.0444951 0.0923951i 0.877536 0.479511i \(-0.159186\pi\)
−0.922031 + 0.387115i \(0.873471\pi\)
\(410\) 2.18402e6 + 5.56479e6i 0.0316887 + 0.0807415i
\(411\) −1.22432e7 + 1.84537e6i −0.176348 + 0.0265802i
\(412\) 1.55387e7 + 1.05941e7i 0.222189 + 0.151486i
\(413\) 2.04220e7 + 6.62066e7i 0.289900 + 0.939834i
\(414\) −1.24382e8 2.83893e7i −1.75289 0.400087i
\(415\) −9.99367e7 3.92222e7i −1.39824 0.548767i
\(416\) −5.98301e7 + 4.48365e6i −0.831074 + 0.0622804i
\(417\) −1.89879e7 2.04641e7i −0.261860 0.282218i
\(418\) 1.68535e8 1.14905e8i 2.30761 1.57330i
\(419\) 7.90823e7 + 6.30660e7i 1.07507 + 0.857340i 0.990284 0.139059i \(-0.0444078\pi\)
0.0847864 + 0.996399i \(0.472979\pi\)
\(420\) 2.63502e7 2.83987e7i 0.355661 0.383311i
\(421\) −5.08050e6 + 3.37069e7i −0.0680863 + 0.451723i 0.928647 + 0.370964i \(0.120973\pi\)
−0.996734 + 0.0807594i \(0.974265\pi\)
\(422\) −5.19532e7 2.27622e8i −0.691314 3.02884i
\(423\) 2.44605e7 + 4.23668e7i 0.323180 + 0.559764i
\(424\) −2.84811e7 1.64435e7i −0.373644 0.215724i
\(425\) 2.42587e7 + 7.48281e6i 0.316009 + 0.0974760i
\(426\) −3.16740e7 + 2.52592e7i −0.409708 + 0.326731i
\(427\) 7.23791e6 9.65833e7i 0.0929672 1.24056i
\(428\) 6.35901e7 + 3.06234e7i 0.811070 + 0.390591i
\(429\) 1.96823e7i 0.249289i
\(430\) 1.29190e8 + 9.06393e7i 1.62489 + 1.14002i
\(431\) −1.29066e8 −1.61206 −0.806028 0.591878i \(-0.798387\pi\)
−0.806028 + 0.591878i \(0.798387\pi\)
\(432\) 4.90368e6 1.01826e7i 0.0608234 0.126301i
\(433\) −7.74217e7 5.80196e6i −0.953672 0.0714679i −0.411203 0.911544i \(-0.634891\pi\)
−0.542469 + 0.840076i \(0.682510\pi\)
\(434\) −1.13181e8 1.41925e8i −1.38454 1.73616i
\(435\) −9.19245e6 + 2.98012e7i −0.111677 + 0.362048i
\(436\) −1.17760e8 + 2.03966e8i −1.42081 + 2.46092i
\(437\) 1.33908e8 7.73116e7i 1.60458 0.926404i
\(438\) −2.58595e7 + 5.90226e6i −0.307750 + 0.0702419i
\(439\) −9.66089e7 1.45614e7i −1.14189 0.172112i −0.449256 0.893403i \(-0.648311\pi\)
−0.692632 + 0.721291i \(0.743549\pi\)
\(440\) 7.39403e7 + 6.86066e7i 0.868007 + 0.805393i
\(441\) 6.42773e6 8.06011e6i 0.0749448 0.0939778i
\(442\) 3.11751e7 + 4.57255e7i 0.361028 + 0.529531i
\(443\) −413474. + 383648.i −0.00475595 + 0.00441287i −0.682547 0.730842i \(-0.739128\pi\)
0.677791 + 0.735254i \(0.262937\pi\)
\(444\) −1.38007e6 1.84158e7i −0.0157672 0.210398i
\(445\) −9.20654e6 + 2.34579e7i −0.104476 + 0.266200i
\(446\) −2.31478e7 + 1.01417e8i −0.260918 + 1.14316i
\(447\) 3.58152e7 1.10475e7i 0.401000 0.123692i
\(448\) 7.67095e7 1.12512e8i 0.853130 1.25131i
\(449\) −3.58817e6 2.38060e7i −0.0396401 0.262995i 0.960228 0.279216i \(-0.0900745\pi\)
−0.999868 + 0.0162212i \(0.994836\pi\)
\(450\) 7.02832e7 2.75841e7i 0.771283 0.302706i
\(451\) −4.29315e6 + 2.06747e6i −0.0468001 + 0.0225377i
\(452\) 6.23804e7 + 1.29534e8i 0.675511 + 1.40271i
\(453\) −1.05384e7 2.68515e7i −0.113366 0.288851i
\(454\) 1.27014e8 1.91443e7i 1.35732 0.204584i
\(455\) −6.40878e7 4.36943e7i −0.680363 0.463864i
\(456\) −9.81301e6 3.18130e7i −0.103492 0.335514i
\(457\) 4.54739e7 + 1.03791e7i 0.476446 + 0.108746i 0.453999 0.891002i \(-0.349997\pi\)
0.0224472 + 0.999748i \(0.492854\pi\)
\(458\) 1.65677e8 + 6.50232e7i 1.72451 + 0.676819i
\(459\) −3.15768e7 + 2.36635e6i −0.326535 + 0.0244704i
\(460\) 1.55636e8 + 1.67735e8i 1.59895 + 1.72326i
\(461\) 5.44918e7 3.71519e7i 0.556197 0.379209i −0.252354 0.967635i \(-0.581205\pi\)
0.808551 + 0.588426i \(0.200252\pi\)
\(462\) 4.02181e7 + 3.20729e7i 0.407846 + 0.325246i
\(463\) 8.94541e7 9.64086e7i 0.901275 0.971343i −0.0984417 0.995143i \(-0.531386\pi\)
0.999717 + 0.0237993i \(0.00757627\pi\)
\(464\) −3.71817e6 + 2.46685e7i −0.0372199 + 0.246938i
\(465\) 1.25978e7 + 5.51948e7i 0.125296 + 0.548958i
\(466\) −4.52330e6 7.83459e6i −0.0446990 0.0774209i
\(467\) −9.99152e7 5.76860e7i −0.981026 0.566396i −0.0784466 0.996918i \(-0.524996\pi\)
−0.902580 + 0.430522i \(0.858329\pi\)
\(468\) 9.44145e7 + 2.91230e7i 0.921088 + 0.284118i
\(469\) −6.80345e7 + 5.42557e7i −0.659494 + 0.525929i
\(470\) 1.09227e7 1.45754e8i 0.105205 1.40387i
\(471\) 5.41442e7 + 2.60744e7i 0.518190 + 0.249547i
\(472\) 8.81108e7i 0.837921i
\(473\) −6.43505e7 + 1.08088e8i −0.608091 + 1.02139i
\(474\) 7.41764e7 0.696515
\(475\) −3.97031e7 + 8.24443e7i −0.370462 + 0.769272i
\(476\) −8.65833e7 6.48852e6i −0.802811 0.0601624i
\(477\) −3.35186e7 4.20310e7i −0.308838 0.387270i
\(478\) 3.16851e7 1.02720e8i 0.290115 0.940531i
\(479\) −4.18109e7 + 7.24186e7i −0.380437 + 0.658937i −0.991125 0.132935i \(-0.957560\pi\)
0.610688 + 0.791872i \(0.290893\pi\)
\(480\) −4.23525e7 + 2.44522e7i −0.382961 + 0.221103i
\(481\) −3.60483e7 + 8.22779e6i −0.323929 + 0.0739346i
\(482\) −2.43574e8 3.67129e7i −2.17516 0.327852i
\(483\) 2.85846e7 + 2.65226e7i 0.253683 + 0.235383i
\(484\) −4.38493e7 + 5.49852e7i −0.386746 + 0.484964i
\(485\) 8.42543e6 + 1.23578e7i 0.0738528 + 0.108322i
\(486\) −1.05156e8 + 9.75702e7i −0.916060 + 0.849979i
\(487\) 3.38834e6 + 4.52143e7i 0.0293360 + 0.391461i 0.992474 + 0.122454i \(0.0390765\pi\)
−0.963138 + 0.269007i \(0.913305\pi\)
\(488\) 4.49996e7 1.14657e8i 0.387212 0.986600i
\(489\) 5.41169e6 2.37102e7i 0.0462814 0.202772i
\(490\) −2.94329e7 + 9.07884e6i −0.250175 + 0.0771689i
\(491\) 7.11840e7 1.04408e8i 0.601365 0.882041i −0.398010 0.917381i \(-0.630299\pi\)
0.999375 + 0.0353404i \(0.0112516\pi\)
\(492\) 346885. + 2.30143e6i 0.00291267 + 0.0193243i
\(493\) 6.50648e7 2.55361e7i 0.543007 0.213115i
\(494\) −1.79726e8 + 8.65513e7i −1.49083 + 0.717948i
\(495\) 7.15403e7 + 1.48555e8i 0.589841 + 1.22482i
\(496\) 1.65453e7 + 4.21567e7i 0.135590 + 0.345479i
\(497\) −1.25839e8 + 1.89672e7i −1.02505 + 0.154502i
\(498\) −5.75299e7 3.92232e7i −0.465806 0.317581i
\(499\) −4.73308e7 1.53443e8i −0.380927 1.23494i −0.919746 0.392515i \(-0.871605\pi\)
0.538818 0.842422i \(-0.318871\pi\)
\(500\) 9.76591e7 + 2.22901e7i 0.781273 + 0.178320i
\(501\) −4.40988e7 1.73075e7i −0.350682 0.137633i
\(502\) −4.30994e7 + 3.22986e6i −0.340691 + 0.0255312i
\(503\) 9.84635e7 + 1.06118e8i 0.773697 + 0.833848i 0.989791 0.142525i \(-0.0455222\pi\)
−0.216094 + 0.976373i \(0.569332\pi\)
\(504\) −7.12950e7 + 4.86081e7i −0.556887 + 0.379679i
\(505\) −8.46633e7 6.75167e7i −0.657387 0.524249i
\(506\) −2.06659e8 + 2.22725e8i −1.59515 + 1.71916i
\(507\) 2.91517e6 1.93409e7i 0.0223687 0.148406i
\(508\) 3.95940e7 + 1.73473e8i 0.302022 + 1.32324i
\(509\) −1.72994e7 2.99635e7i −0.131183 0.227216i 0.792950 0.609287i \(-0.208544\pi\)
−0.924133 + 0.382071i \(0.875211\pi\)
\(510\) 3.90657e7 + 2.25546e7i 0.294500 + 0.170030i
\(511\) −7.96185e7 2.45591e7i −0.596694 0.184056i
\(512\) −5.11013e7 + 4.07519e7i −0.380734 + 0.303626i
\(513\) 8.52958e6 1.13819e8i 0.0631794 0.843071i
\(514\) −5.66101e7 2.72620e7i −0.416874 0.200756i
\(515\) 3.06921e7i 0.224701i
\(516\) 4.11842e7 + 4.55962e7i 0.299766 + 0.331879i
\(517\) 1.16505e8 0.843089
\(518\) 4.19294e7 8.70672e7i 0.301668 0.626420i
\(519\) 5.95002e7 + 4.45892e6i 0.425614 + 0.0318954i
\(520\) −6.15022e7 7.71214e7i −0.437402 0.548485i
\(521\) 5.50881e7 1.78591e8i 0.389534 1.26284i −0.522471 0.852657i \(-0.674990\pi\)
0.912005 0.410180i \(-0.134534\pi\)
\(522\) 1.03940e8 1.80030e8i 0.730755 1.26570i
\(523\) 1.15114e8 6.64609e7i 0.804677 0.464581i −0.0404267 0.999183i \(-0.512872\pi\)
0.845104 + 0.534602i \(0.179538\pi\)
\(524\) −5.82521e7 + 1.32957e7i −0.404872 + 0.0924094i
\(525\) −2.28190e7 3.43941e6i −0.157695 0.0237687i
\(526\) −7.93680e7 7.36428e7i −0.545366 0.506026i
\(527\) 7.91117e7 9.92029e7i 0.540516 0.677786i
\(528\) −7.22925e6 1.06034e7i −0.0491125 0.0720348i
\(529\) −6.03153e7 + 5.59644e7i −0.407437 + 0.378046i
\(530\) 1.20031e7 + 1.60170e8i 0.0806242 + 1.07585i
\(531\) −5.26209e7 + 1.34076e8i −0.351459 + 0.895504i
\(532\) 6.96416e7 3.05120e8i 0.462524 2.02645i
\(533\) 4.45292e6 1.37355e6i 0.0294079 0.00907113i
\(534\) −9.20676e6 + 1.35038e7i −0.0604621 + 0.0886816i
\(535\) −1.71675e7 1.13899e8i −0.112110 0.743803i
\(536\) −1.03015e8 + 4.04303e7i −0.668967 + 0.262550i
\(537\) −1.95466e7 + 9.41314e6i −0.126226 + 0.0607871i
\(538\) 9.10581e7 + 1.89084e8i 0.584752 + 1.21425i
\(539\) −8.96967e6 2.28543e7i −0.0572809 0.145949i
\(540\) 1.67020e8 2.51743e7i 1.06069 0.159873i
\(541\) 1.55743e8 + 1.06184e8i 0.983598 + 0.670606i 0.944459 0.328628i \(-0.106586\pi\)
0.0391384 + 0.999234i \(0.487539\pi\)
\(542\) −1.10060e7 3.56807e7i −0.0691246 0.224096i
\(543\) −1.56397e6 356966.i −0.00976852 0.00222960i
\(544\) 1.02029e8 + 4.00435e7i 0.633765 + 0.248734i
\(545\) 3.83290e8 2.87236e7i 2.36776 0.177439i
\(546\) −3.42171e7 3.68772e7i −0.210215 0.226558i
\(547\) −7.50906e7 + 5.11959e7i −0.458800 + 0.312805i −0.770573 0.637352i \(-0.780030\pi\)
0.311773 + 0.950157i \(0.399077\pi\)
\(548\) −1.15727e8 9.22896e7i −0.703226 0.560804i
\(549\) 1.36949e8 1.47596e8i 0.827643 0.891987i
\(550\) 2.67991e7 1.77800e8i 0.161076 1.06867i
\(551\) 5.60627e7 + 2.45627e8i 0.335135 + 1.46832i
\(552\) 2.47947e7 + 4.29457e7i 0.147415 + 0.255331i
\(553\) 2.01790e8 + 1.16503e8i 1.19323 + 0.688911i
\(554\) 1.63352e8 + 5.03873e7i 0.960715 + 0.296341i
\(555\) −2.35634e7 + 1.87912e7i −0.137835 + 0.109920i
\(556\) 2.49404e7 3.32806e8i 0.145104 1.93628i
\(557\) −7.01060e6 3.37613e6i −0.0405686 0.0195368i 0.413489 0.910509i \(-0.364310\pi\)
−0.454058 + 0.890972i \(0.650024\pi\)
\(558\) 3.77371e8i 2.17203i
\(559\) 7.79828e7 9.51440e7i 0.446440 0.544686i
\(560\) −5.05746e7 −0.287984
\(561\) −1.56008e7 + 3.23954e7i −0.0883606 + 0.183483i
\(562\) −5.04739e8 3.78250e7i −2.84353 0.213093i
\(563\) 7.13596e6 + 8.94821e6i 0.0399878 + 0.0501431i 0.801423 0.598098i \(-0.204076\pi\)
−0.761435 + 0.648241i \(0.775505\pi\)
\(564\) 1.67732e7 5.43774e7i 0.0934929 0.303097i
\(565\) 1.17317e8 2.03199e8i 0.650454 1.12662i
\(566\) −3.54088e8 + 2.04433e8i −1.95282 + 1.12746i
\(567\) −1.22835e8 + 2.80363e7i −0.673864 + 0.153805i
\(568\) −1.60032e8 2.41209e7i −0.873297 0.131628i
\(569\) 5.85268e7 + 5.43050e7i 0.317701 + 0.294783i 0.822861 0.568242i \(-0.192376\pi\)
−0.505161 + 0.863025i \(0.668567\pi\)
\(570\) −1.01378e8 + 1.27123e8i −0.547416 + 0.686438i
\(571\) −4.59664e7 6.74203e7i −0.246906 0.362145i 0.682700 0.730699i \(-0.260805\pi\)
−0.929607 + 0.368554i \(0.879853\pi\)
\(572\) 1.72488e8 1.60046e8i 0.921662 0.855177i
\(573\) −4.19080e6 5.59224e7i −0.0222758 0.297250i
\(574\) −4.44952e6 + 1.13372e7i −0.0235276 + 0.0599473i
\(575\) 3.03299e7 1.32884e8i 0.159539 0.698986i
\(576\) 2.70508e8 8.34407e7i 1.41551 0.436627i
\(577\) −1.28486e8 + 1.88454e8i −0.668847 + 0.981019i 0.330460 + 0.943820i \(0.392796\pi\)
−0.999308 + 0.0371992i \(0.988156\pi\)
\(578\) 3.04541e7 + 2.02049e8i 0.157711 + 1.04634i
\(579\) 6.92557e7 2.71808e7i 0.356796 0.140032i
\(580\) −3.35914e8 + 1.61768e8i −1.72165 + 0.829103i
\(581\) −9.48995e7 1.97061e8i −0.483878 1.00478i
\(582\) 3.54396e6 + 9.02987e6i 0.0179771 + 0.0458049i
\(583\) −1.26598e8 + 1.90816e7i −0.638885 + 0.0962964i
\(584\) −8.75483e7 5.96894e7i −0.439551 0.299681i
\(585\) −4.75285e7 1.54084e8i −0.237403 0.769642i
\(586\) −4.92249e8 1.12353e8i −2.44620 0.558329i
\(587\) 7.13834e7 + 2.80159e7i 0.352925 + 0.138513i 0.535179 0.844738i \(-0.320244\pi\)
−0.182254 + 0.983252i \(0.558339\pi\)
\(588\) −1.19584e7 + 896155.i −0.0588220 + 0.00440810i
\(589\) 3.11084e8 + 3.35269e8i 1.52241 + 1.64077i
\(590\) 3.55555e8 2.42413e8i 1.73121 1.18032i
\(591\) −7.71910e7 6.15578e7i −0.373942 0.298209i
\(592\) −1.63981e7 + 1.76730e7i −0.0790367 + 0.0851813i
\(593\) 3.83389e7 2.54362e8i 0.183855 1.21980i −0.686410 0.727215i \(-0.740814\pi\)
0.870265 0.492584i \(-0.163948\pi\)
\(594\) 4.99071e7 + 2.18657e8i 0.238124 + 1.04329i
\(595\) 7.08496e7 + 1.22715e8i 0.336346 + 0.582569i
\(596\) 3.88046e8 + 2.24039e8i 1.83292 + 1.05824i
\(597\) 6.02418e7 + 1.85821e7i 0.283123 + 0.0873319i
\(598\) 2.32307e8 1.85259e8i 1.08632 0.866313i
\(599\) −1.91363e7 + 2.55356e8i −0.0890383 + 1.18813i 0.756418 + 0.654089i \(0.226948\pi\)
−0.845456 + 0.534045i \(0.820671\pi\)
\(600\) −2.64409e7 1.27332e7i −0.122411 0.0589502i
\(601\) 2.25759e8i 1.03997i 0.854175 + 0.519985i \(0.174063\pi\)
−0.854175 + 0.519985i \(0.825937\pi\)
\(602\) 6.73387e7 + 3.14387e8i 0.308657 + 1.44104i
\(603\) −1.80900e8 −0.825063
\(604\) 1.49624e8 3.10697e8i 0.679031 1.41002i
\(605\) 1.14455e8 + 8.57720e6i 0.516854 + 0.0387329i
\(606\) −4.37890e7 5.49097e7i −0.196765 0.246735i
\(607\) −6.61215e7 + 2.14361e8i −0.295649 + 0.958471i 0.678887 + 0.734243i \(0.262462\pi\)
−0.974537 + 0.224229i \(0.928014\pi\)
\(608\) −1.97538e8 + 3.42147e8i −0.878903 + 1.52230i
\(609\) −5.50246e7 + 3.17685e7i −0.243616 + 0.140652i
\(610\) −5.86481e8 + 1.33861e8i −2.58383 + 0.589743i
\(611\) −1.12663e8 1.69812e7i −0.493922 0.0744467i
\(612\) −1.32315e8 1.22770e8i −0.577236 0.535597i
\(613\) 4.49542e7 5.63707e7i 0.195159 0.244722i −0.674618 0.738167i \(-0.735691\pi\)
0.869777 + 0.493446i \(0.164263\pi\)
\(614\) 1.04528e8 + 1.53314e8i 0.451572 + 0.662335i
\(615\) 2.78438e6 2.58353e6i 0.0119702 0.0111068i
\(616\) 1.53567e7 + 2.04921e8i 0.0656987 + 0.876688i
\(617\) 7.10343e7 1.80993e8i 0.302422 0.770558i −0.696189 0.717859i \(-0.745122\pi\)
0.998610 0.0526989i \(-0.0167824\pi\)
\(618\) 4.42947e6 1.94068e7i 0.0187666 0.0822219i
\(619\) −1.36854e8 + 4.22139e7i −0.577014 + 0.177985i −0.569507 0.821987i \(-0.692866\pi\)
−0.00750708 + 0.999972i \(0.502390\pi\)
\(620\) −3.81268e8 + 5.59217e8i −1.59976 + 2.34642i
\(621\) 2.53390e7 + 1.68114e8i 0.105807 + 0.701985i
\(622\) 4.58205e8 1.79832e8i 1.90409 0.747302i
\(623\) −4.62556e7 + 2.22755e7i −0.191294 + 0.0921221i
\(624\) 5.44536e6 + 1.13074e7i 0.0224116 + 0.0465382i
\(625\) −1.10994e8 2.82809e8i −0.454632 1.15838i
\(626\) 1.63634e8 2.46639e7i 0.667039 0.100540i
\(627\) −1.07085e8 7.30091e7i −0.434435 0.296193i
\(628\) 2.11764e8 + 6.86522e8i 0.855015 + 2.77189i
\(629\) 6.58541e7 + 1.50308e7i 0.264625 + 0.0603989i
\(630\) 3.92298e8 + 1.53966e8i 1.56890 + 0.615747i
\(631\) −1.60453e8 + 1.20243e7i −0.638644 + 0.0478598i −0.390117 0.920765i \(-0.627566\pi\)
−0.248527 + 0.968625i \(0.579946\pi\)
\(632\) 2.01548e8 + 2.17218e8i 0.798414 + 0.860486i
\(633\) −1.22570e8 + 8.35666e7i −0.483250 + 0.329474i
\(634\) −1.06656e8 8.50550e7i −0.418519 0.333758i
\(635\) 1.97513e8 2.12868e8i 0.771390 0.831360i
\(636\) −9.32020e6 + 6.18355e7i −0.0362288 + 0.240362i
\(637\) 5.34273e6 + 2.34080e7i 0.0206702 + 0.0905622i
\(638\) −2.47533e8 4.28740e8i −0.953171 1.65094i
\(639\) −2.29111e8 1.32277e8i −0.878099 0.506971i
\(640\) −4.36211e8 1.34553e8i −1.66401 0.513280i
\(641\) 1.26262e8 1.00690e8i 0.479400 0.382309i −0.353764 0.935335i \(-0.615098\pi\)
0.833164 + 0.553026i \(0.186527\pi\)
\(642\) 5.58273e6 7.44963e7i 0.0210980 0.281533i
\(643\) −3.19198e8 1.53718e8i −1.20068 0.578216i −0.276810 0.960925i \(-0.589277\pi\)
−0.923869 + 0.382708i \(0.874991\pi\)
\(644\) 4.66173e8i 1.74538i
\(645\) 2.36205e7 9.74514e7i 0.0880259 0.363169i
\(646\) 3.64417e8 1.35176
\(647\) −2.90672e7 + 6.03586e7i −0.107322 + 0.222857i −0.947713 0.319124i \(-0.896611\pi\)
0.840391 + 0.541981i \(0.182326\pi\)
\(648\) −1.59781e8 1.19739e7i −0.587219 0.0440060i
\(649\) 2.13865e8 + 2.68178e8i 0.782357 + 0.981045i
\(650\) −5.18307e7 + 1.68031e8i −0.188733 + 0.611856i
\(651\) −5.76703e7 + 9.98878e7i −0.209030 + 0.362051i
\(652\) 2.51792e8 1.45372e8i 0.908446 0.524491i
\(653\) −1.24553e8 + 2.84284e7i −0.447317 + 0.102097i −0.440245 0.897878i \(-0.645108\pi\)
−0.00707202 + 0.999975i \(0.502251\pi\)
\(654\) 2.46502e8 + 3.71541e7i 0.881224 + 0.132823i
\(655\) 7.14811e7 + 6.63247e7i 0.254371 + 0.236022i
\(656\) 1.89441e6 2.37551e6i 0.00671061 0.00841484i
\(657\) −9.75727e7 1.43113e8i −0.344059 0.504641i
\(658\) 2.18287e8 2.02540e8i 0.766213 0.710942i
\(659\) −1.15124e6 1.53623e7i −0.00402264 0.0536784i 0.994831 0.101542i \(-0.0323777\pi\)
−0.998854 + 0.0478638i \(0.984759\pi\)
\(660\) 7.00706e7 1.78537e8i 0.243727 0.621006i
\(661\) −6.84960e7 + 3.00101e8i −0.237171 + 1.03911i 0.706367 + 0.707846i \(0.250333\pi\)
−0.943537 + 0.331266i \(0.892524\pi\)
\(662\) 8.55456e8 2.63873e8i 2.94865 0.909539i
\(663\) 1.98081e7 2.90532e7i 0.0679678 0.0996905i
\(664\) −4.14564e7 2.75046e8i −0.141608 0.939508i
\(665\) −4.75451e8 + 1.86601e8i −1.61674 + 0.634525i
\(666\) 1.81000e8 8.71648e7i 0.612710 0.295066i
\(667\) −1.62827e8 3.38113e8i −0.548716 1.13942i
\(668\) −2.06911e8 5.27201e8i −0.694152 1.76867i
\(669\) 6.53576e7 9.85107e6i 0.218282 0.0329007i
\(670\) 4.46566e8 + 3.04463e8i 1.48478 + 1.01230i
\(671\) −1.41336e8 4.58199e8i −0.467826 1.51665i
\(672\) −9.71353e7 2.21705e7i −0.320088 0.0730580i
\(673\) 2.38825e8 + 9.37319e7i 0.783492 + 0.307498i 0.723160 0.690680i \(-0.242689\pi\)
0.0603321 + 0.998178i \(0.480784\pi\)
\(674\) −6.59282e8 + 4.94063e7i −2.15323 + 0.161363i
\(675\) −6.84347e7 7.37551e7i −0.222518 0.239817i
\(676\) 1.93201e8 1.31722e8i 0.625416 0.426402i
\(677\) 2.37248e8 + 1.89199e8i 0.764605 + 0.609752i 0.926168 0.377110i \(-0.123082\pi\)
−0.161563 + 0.986862i \(0.551654\pi\)
\(678\) 1.03506e8 1.11553e8i 0.332105 0.357924i
\(679\) −4.54154e6 + 3.01311e7i −0.0145075 + 0.0962512i
\(680\) 4.00987e7 + 1.75684e8i 0.127527 + 0.558734i
\(681\) −4.08070e7 7.06799e7i −0.129209 0.223797i
\(682\) −7.78304e8 4.49354e8i −2.45356 1.41656i
\(683\) 3.78660e8 + 1.16801e8i 1.18847 + 0.366594i 0.825065 0.565038i \(-0.191139\pi\)
0.363403 + 0.931632i \(0.381615\pi\)
\(684\) 5.08668e8 4.05649e8i 1.58952 1.26760i
\(685\) −1.80524e7 + 2.40893e8i −0.0561648 + 0.749467i
\(686\) −4.85182e8 2.33652e8i −1.50291 0.723763i
\(687\) 1.13085e8i 0.348768i
\(688\) 7.06522e6 7.98994e7i 0.0216950 0.245346i
\(689\) 1.25205e8 0.382792
\(690\) 1.05084e8 2.18208e8i 0.319880 0.664238i
\(691\) 1.77477e8 + 1.33000e7i 0.537907 + 0.0403105i 0.340914 0.940094i \(-0.389263\pi\)
0.196993 + 0.980405i \(0.436883\pi\)
\(692\) 4.44747e8 + 5.57695e8i 1.34213 + 1.68298i
\(693\) −9.90138e7 + 3.20995e8i −0.297506 + 0.964491i
\(694\) 1.51670e8 2.62701e8i 0.453756 0.785929i
\(695\) −4.71689e8 + 2.72330e8i −1.40508 + 0.811224i
\(696\) −7.87754e7 + 1.79800e7i −0.233649 + 0.0533288i
\(697\) −8.41786e6 1.26879e6i −0.0248601 0.00374706i
\(698\) 7.08703e8 + 6.57580e8i 2.08400 + 1.93367i
\(699\) −3.58386e6 + 4.49402e6i −0.0104935 + 0.0131584i
\(700\) −1.55410e8 2.27944e8i −0.453090 0.664561i
\(701\) 3.64033e8 3.37773e8i 1.05678 0.980553i 0.0569436 0.998377i \(-0.481864\pi\)
0.999841 + 0.0178244i \(0.00567399\pi\)
\(702\) −1.63909e7 2.18721e8i −0.0473795 0.632236i
\(703\) −8.89522e7 + 2.26646e8i −0.256030 + 0.652353i
\(704\) 1.50016e8 6.57263e8i 0.429952 1.88374i
\(705\) −8.87433e7 + 2.73737e7i −0.253261 + 0.0781207i
\(706\) −1.37273e8 + 2.01342e8i −0.390094 + 0.572163i
\(707\) −3.28812e7 2.18153e8i −0.0930443 0.617309i
\(708\) 1.55959e8 6.12094e7i 0.439451 0.172472i
\(709\) −2.11849e8 + 1.02021e8i −0.594412 + 0.286254i −0.706803 0.707410i \(-0.749863\pi\)
0.112391 + 0.993664i \(0.464149\pi\)
\(710\) 3.42949e8 + 7.12142e8i 0.958197 + 1.98972i
\(711\) 1.76966e8 + 4.50902e8i 0.492358 + 1.25451i
\(712\) −6.45607e7 + 9.73097e6i −0.178866 + 0.0269598i
\(713\) −5.62877e8 3.83763e8i −1.55290 1.05875i
\(714\) 2.70884e7 + 8.78183e7i 0.0744198 + 0.241263i
\(715\) −3.74382e8 8.54502e7i −1.02423 0.233773i
\(716\) −2.41435e8 9.47564e7i −0.657752 0.258149i
\(717\) −6.81103e7 + 5.10416e6i −0.184780 + 0.0138474i
\(718\) −7.11857e8 7.67199e8i −1.92318 2.07269i
\(719\) −3.14585e8 + 2.14480e8i −0.846352 + 0.577033i −0.907002 0.421126i \(-0.861635\pi\)
0.0606503 + 0.998159i \(0.480683\pi\)
\(720\) −8.21993e7 6.55518e7i −0.220227 0.175625i
\(721\) 4.25307e7 4.58372e7i 0.113474 0.122296i
\(722\) −1.07048e8 + 7.10218e8i −0.284425 + 1.88704i
\(723\) 3.48270e7 + 1.52587e8i 0.0921513 + 0.403741i
\(724\) −9.58903e6 1.66087e7i −0.0252673 0.0437643i
\(725\) 1.92335e8 + 1.11045e8i 0.504714 + 0.291397i
\(726\) 7.11324e7 + 2.19415e7i 0.185891 + 0.0573397i
\(727\) 5.39082e8 4.29903e8i 1.40298 1.11884i 0.426190 0.904634i \(-0.359855\pi\)
0.976789 0.214205i \(-0.0687161\pi\)
\(728\) 1.50181e7 2.00402e8i 0.0389242 0.519407i
\(729\) −1.76826e8 8.51548e7i −0.456418 0.219799i
\(730\) 5.17505e8i 1.33029i
\(731\) −2.03767e8 + 9.47875e7i −0.521654 + 0.242660i
\(732\) −2.34207e8 −0.597128
\(733\) −1.69266e7 + 3.51484e7i −0.0429792 + 0.0892471i −0.921353 0.388728i \(-0.872915\pi\)
0.878374 + 0.477975i \(0.158629\pi\)
\(734\) −2.31509e8 1.73492e7i −0.585437 0.0438725i
\(735\) 1.22021e7 + 1.53009e7i 0.0307307 + 0.0385351i
\(736\) 1.73457e8 5.62334e8i 0.435069 1.41046i
\(737\) −2.15407e8 + 3.73095e8i −0.538092 + 0.932003i
\(738\) −2.19264e7 + 1.26592e7i −0.0545505 + 0.0314947i
\(739\) −1.81932e8 + 4.15247e7i −0.450790 + 0.102890i −0.441888 0.897070i \(-0.645691\pi\)
−0.00890280 + 0.999960i \(0.502834\pi\)
\(740\) −3.56283e8 5.37011e7i −0.879226 0.132522i
\(741\) 9.29118e7 + 8.62096e7i 0.228358 + 0.211885i
\(742\) −2.04025e8 + 2.55839e8i −0.499426 + 0.626261i
\(743\) 5.55056e7 + 8.14118e7i 0.135323 + 0.198482i 0.887918 0.460001i \(-0.152151\pi\)
−0.752596 + 0.658483i \(0.771199\pi\)
\(744\) −1.07525e8 + 9.97684e7i −0.261090 + 0.242256i
\(745\) −5.46469e7 7.29212e8i −0.132159 1.76354i
\(746\) 4.12037e8 1.04985e9i 0.992474 2.52878i
\(747\) 1.01178e8 4.43288e8i 0.242729 1.06347i
\(748\) −4.10759e8 + 1.26702e8i −0.981481 + 0.302747i
\(749\) 1.32193e8 1.93892e8i 0.314603 0.461439i
\(750\) −1.58023e7 1.04842e8i −0.0374573 0.248513i
\(751\) 9.83551e7 3.86015e7i 0.232208 0.0911349i −0.246384 0.969172i \(-0.579243\pi\)
0.478592 + 0.878037i \(0.341147\pi\)
\(752\) −6.69317e7 + 3.22326e7i −0.157391 + 0.0757953i