Properties

Label 43.7.h.a.3.1
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 3.1
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.81728 + 14.1562i) q^{2} +(-27.0740 - 2.02892i) q^{3} +(-114.020 - 142.977i) q^{4} +(9.10871 - 29.5297i) q^{5} +(213.293 - 369.435i) q^{6} +(-416.520 + 240.478i) q^{7} +(1820.95 - 415.620i) q^{8} +(8.02997 + 1.21032i) q^{9} +O(q^{10})\) \(q+(-6.81728 + 14.1562i) q^{2} +(-27.0740 - 2.02892i) q^{3} +(-114.020 - 142.977i) q^{4} +(9.10871 - 29.5297i) q^{5} +(213.293 - 369.435i) q^{6} +(-416.520 + 240.478i) q^{7} +(1820.95 - 415.620i) q^{8} +(8.02997 + 1.21032i) q^{9} +(355.933 + 330.257i) q^{10} +(559.511 - 701.604i) q^{11} +(2796.90 + 4102.30i) q^{12} +(-973.938 + 903.682i) q^{13} +(-564.727 - 7535.76i) q^{14} +(-306.523 + 781.008i) q^{15} +(-3925.94 + 17200.7i) q^{16} +(-4882.24 + 1505.97i) q^{17} +(-71.8762 + 105.423i) q^{18} +(-1025.82 - 6805.89i) q^{19} +(-5260.64 + 2064.65i) q^{20} +(11764.8 - 5665.63i) q^{21} +(6117.73 + 12703.6i) q^{22} +(4184.70 + 10662.4i) q^{23} +(-50143.7 + 7557.95i) q^{24} +(12120.9 + 8263.92i) q^{25} +(-6153.13 - 19947.9i) q^{26} +(19081.1 + 4355.15i) q^{27} +(81874.5 + 32133.4i) q^{28} +(27314.6 - 2046.95i) q^{29} +(-8966.48 - 9663.57i) q^{30} +(15149.6 - 10328.8i) q^{31} +(-123274. - 98307.7i) q^{32} +(-16571.7 + 17860.1i) q^{33} +(11964.7 - 79380.8i) q^{34} +(3307.29 + 14490.2i) q^{35} +(-742.531 - 1286.10i) q^{36} +(-62131.8 - 35871.8i) q^{37} +(103339. + 31875.9i) q^{38} +(28201.9 - 22490.3i) q^{39} +(4313.37 - 57557.9i) q^{40} +(-4130.25 - 1989.02i) q^{41} +205169. i q^{42} +(79208.5 + 6883.12i) q^{43} -164109. q^{44} +(108.883 - 226.098i) q^{45} +(-179468. - 13449.3i) q^{46} +(99068.7 + 124228. i) q^{47} +(141190. - 457726. i) q^{48} +(56834.9 - 98441.0i) q^{49} +(-199618. + 115249. i) q^{50} +(135238. - 30867.1i) q^{51} +(240254. + 36212.5i) q^{52} +(-174364. - 161786. i) q^{53} +(-191734. + 240427. i) q^{54} +(-15621.8 - 22912.9i) q^{55} +(-658515. + 611012. i) q^{56} +(13964.6 + 186344. i) q^{57} +(-157234. + 400626. i) q^{58} +(76923.5 - 337024. i) q^{59} +(146616. - 45225.0i) q^{60} +(116467. - 170826. i) q^{61} +(42938.0 + 284875. i) q^{62} +(-3635.70 + 1426.91i) q^{63} +(1.21473e6 - 584982. i) q^{64} +(17814.2 + 36991.5i) q^{65} +(-139857. - 356350. i) q^{66} +(148826. - 22432.0i) q^{67} +(771993. + 526336. i) q^{68} +(-91663.6 - 297166. i) q^{69} +(-227673. - 51964.9i) q^{70} +(-290490. - 114009. i) q^{71} +(15125.2 - 1133.48i) q^{72} +(-49025.1 - 52836.5i) q^{73} +(931379. - 635004. i) q^{74} +(-311396. - 248330. i) q^{75} +(-856120. + 922678. i) q^{76} +(-64327.1 + 426782. i) q^{77} +(126117. + 552556. i) q^{78} +(366398. + 634620. i) q^{79} +(472171. + 272608. i) q^{80} +(-513425. - 158370. i) q^{81} +(56314.1 - 44909.0i) q^{82} +(21590.4 - 288104. i) q^{83} +(-2.15148e6 - 1.03610e6i) q^{84} +157889. i q^{85} +(-637426. + 1.07437e6i) q^{86} -743670. q^{87} +(727240. - 1.51013e6i) q^{88} +(-249263. - 18679.7i) q^{89} +(2458.41 + 3082.75i) q^{90} +(188349. - 610613. i) q^{91} +(1.04734e6 - 1.81405e6i) q^{92} +(-431116. + 248905. i) q^{93} +(-2.43398e6 + 555541. i) q^{94} +(-210320. - 31700.6i) q^{95} +(3.13807e6 + 2.91170e6i) q^{96} +(371435. - 465765. i) q^{97} +(1.00609e6 + 1.47567e6i) q^{98} +(5342.02 - 4956.67i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.81728 + 14.1562i −0.852160 + 1.76953i −0.255972 + 0.966684i \(0.582395\pi\)
−0.596189 + 0.802844i \(0.703319\pi\)
\(3\) −27.0740 2.02892i −1.00274 0.0751452i −0.436773 0.899572i \(-0.643879\pi\)
−0.565969 + 0.824426i \(0.691498\pi\)
\(4\) −114.020 142.977i −1.78157 2.23401i
\(5\) 9.10871 29.5297i 0.0728697 0.236238i −0.911809 0.410614i \(-0.865315\pi\)
0.984679 + 0.174376i \(0.0557907\pi\)
\(6\) 213.293 369.435i 0.987469 1.71035i
\(7\) −416.520 + 240.478i −1.21434 + 0.701102i −0.963703 0.266978i \(-0.913975\pi\)
−0.250642 + 0.968080i \(0.580642\pi\)
\(8\) 1820.95 415.620i 3.55654 0.811757i
\(9\) 8.02997 + 1.21032i 0.0110150 + 0.00166025i
\(10\) 355.933 + 330.257i 0.355933 + 0.330257i
\(11\) 559.511 701.604i 0.420369 0.527125i −0.525883 0.850557i \(-0.676265\pi\)
0.946252 + 0.323431i \(0.104836\pi\)
\(12\) 2796.90 + 4102.30i 1.61858 + 2.37402i
\(13\) −973.938 + 903.682i −0.443304 + 0.411326i −0.869986 0.493076i \(-0.835873\pi\)
0.426683 + 0.904401i \(0.359682\pi\)
\(14\) −564.727 7535.76i −0.205804 2.74627i
\(15\) −306.523 + 781.008i −0.0908217 + 0.231410i
\(16\) −3925.94 + 17200.7i −0.958482 + 4.19938i
\(17\) −4882.24 + 1505.97i −0.993739 + 0.306528i −0.748645 0.662971i \(-0.769295\pi\)
−0.245094 + 0.969499i \(0.578819\pi\)
\(18\) −71.8762 + 105.423i −0.0123244 + 0.0180766i
\(19\) −1025.82 6805.89i −0.149559 0.992257i −0.930141 0.367204i \(-0.880315\pi\)
0.780582 0.625054i \(-0.214923\pi\)
\(20\) −5260.64 + 2064.65i −0.657580 + 0.258081i
\(21\) 11764.8 5665.63i 1.27036 0.611773i
\(22\) 6117.73 + 12703.6i 0.574542 + 1.19305i
\(23\) 4184.70 + 10662.4i 0.343939 + 0.876342i 0.993269 + 0.115835i \(0.0369543\pi\)
−0.649330 + 0.760507i \(0.724951\pi\)
\(24\) −50143.7 + 7557.95i −3.62730 + 0.546727i
\(25\) 12120.9 + 8263.92i 0.775740 + 0.528891i
\(26\) −6153.13 19947.9i −0.350087 1.13495i
\(27\) 19081.1 + 4355.15i 0.969422 + 0.221264i
\(28\) 81874.5 + 32133.4i 3.72971 + 1.46380i
\(29\) 27314.6 2046.95i 1.11996 0.0839290i 0.498143 0.867095i \(-0.334016\pi\)
0.621813 + 0.783166i \(0.286397\pi\)
\(30\) −8966.48 9663.57i −0.332092 0.357910i
\(31\) 15149.6 10328.8i 0.508528 0.346709i −0.281719 0.959497i \(-0.590905\pi\)
0.790247 + 0.612788i \(0.209952\pi\)
\(32\) −123274. 98307.7i −3.76202 3.00011i
\(33\) −16571.7 + 17860.1i −0.461132 + 0.496982i
\(34\) 11964.7 79380.8i 0.304415 2.01966i
\(35\) 3307.29 + 14490.2i 0.0771379 + 0.337963i
\(36\) −742.531 1286.10i −0.0159150 0.0275656i
\(37\) −62131.8 35871.8i −1.22662 0.708187i −0.260296 0.965529i \(-0.583820\pi\)
−0.966320 + 0.257342i \(0.917153\pi\)
\(38\) 103339. + 31875.9i 1.88328 + 0.580914i
\(39\) 28201.9 22490.3i 0.475429 0.379142i
\(40\) 4313.37 57557.9i 0.0673964 0.899342i
\(41\) −4130.25 1989.02i −0.0599273 0.0288595i 0.403680 0.914900i \(-0.367731\pi\)
−0.463607 + 0.886041i \(0.653445\pi\)
\(42\) 205169.i 2.76927i
\(43\) 79208.5 + 6883.12i 0.996246 + 0.0865724i
\(44\) −164109. −1.92652
\(45\) 108.883 226.098i 0.00119488 0.00248119i
\(46\) −179468. 13449.3i −1.84380 0.138174i
\(47\) 99068.7 + 124228.i 0.954208 + 1.19654i 0.980427 + 0.196882i \(0.0630817\pi\)
−0.0262194 + 0.999656i \(0.508347\pi\)
\(48\) 141190. 457726.i 1.27667 4.13887i
\(49\) 56834.9 98441.0i 0.483089 0.836734i
\(50\) −199618. + 115249.i −1.59694 + 0.921995i
\(51\) 135238. 30867.1i 1.01950 0.232694i
\(52\) 240254. + 36212.5i 1.70868 + 0.257542i
\(53\) −174364. 161786.i −1.17119 1.08671i −0.994743 0.102400i \(-0.967348\pi\)
−0.176451 0.984309i \(-0.556462\pi\)
\(54\) −191734. + 240427.i −1.21764 + 1.52687i
\(55\) −15621.8 22912.9i −0.0938948 0.137718i
\(56\) −658515. + 611012.i −3.74974 + 3.47925i
\(57\) 13964.6 + 186344.i 0.0754056 + 1.00622i
\(58\) −157234. + 400626.i −0.805866 + 2.05331i
\(59\) 76923.5 337024.i 0.374544 1.64099i −0.339298 0.940679i \(-0.610190\pi\)
0.713842 0.700306i \(-0.246953\pi\)
\(60\) 146616. 45225.0i 0.678777 0.209375i
\(61\) 116467. 170826.i 0.513113 0.752599i −0.479017 0.877805i \(-0.659007\pi\)
0.992131 + 0.125206i \(0.0399593\pi\)
\(62\) 42938.0 + 284875.i 0.180163 + 1.19531i
\(63\) −3635.70 + 1426.91i −0.0145401 + 0.00570656i
\(64\) 1.21473e6 584982.i 4.63382 2.23153i
\(65\) 17814.2 + 36991.5i 0.0648673 + 0.134698i
\(66\) −139857. 356350.i −0.486466 1.23950i
\(67\) 148826. 22432.0i 0.494829 0.0745835i 0.103113 0.994670i \(-0.467120\pi\)
0.391716 + 0.920086i \(0.371882\pi\)
\(68\) 771993. + 526336.i 2.45520 + 1.67393i
\(69\) −91663.6 297166.i −0.279029 0.904590i
\(70\) −227673. 51964.9i −0.663770 0.151501i
\(71\) −290490. 114009.i −0.811627 0.318540i −0.0770172 0.997030i \(-0.524540\pi\)
−0.734610 + 0.678490i \(0.762635\pi\)
\(72\) 15125.2 1133.48i 0.0405232 0.00303679i
\(73\) −49025.1 52836.5i −0.126023 0.135821i 0.666888 0.745158i \(-0.267626\pi\)
−0.792911 + 0.609337i \(0.791436\pi\)
\(74\) 931379. 635004.i 2.29843 1.56704i
\(75\) −311396. 248330.i −0.738124 0.588635i
\(76\) −856120. + 922678.i −1.95027 + 2.10189i
\(77\) −64327.1 + 426782.i −0.140903 + 0.934833i
\(78\) 126117. + 552556.i 0.265761 + 1.16437i
\(79\) 366398. + 634620.i 0.743142 + 1.28716i 0.951058 + 0.309013i \(0.0999985\pi\)
−0.207916 + 0.978147i \(0.566668\pi\)
\(80\) 472171. + 272608.i 0.922208 + 0.532437i
\(81\) −513425. 158370.i −0.966099 0.298002i
\(82\) 56314.1 44909.0i 0.102135 0.0814502i
\(83\) 21590.4 288104.i 0.0377595 0.503866i −0.945975 0.324239i \(-0.894892\pi\)
0.983735 0.179627i \(-0.0574891\pi\)
\(84\) −2.15148e6 1.03610e6i −3.62994 1.74809i
\(85\) 157889.i 0.257095i
\(86\) −637426. + 1.07437e6i −1.00215 + 1.68911i
\(87\) −743670. −1.12933
\(88\) 727240. 1.51013e6i 1.06716 2.21598i
\(89\) −249263. 18679.7i −0.353580 0.0264971i −0.103243 0.994656i \(-0.532922\pi\)
−0.250336 + 0.968159i \(0.580541\pi\)
\(90\) 2458.41 + 3082.75i 0.00337231 + 0.00422874i
\(91\) 188349. 610613.i 0.249942 0.810292i
\(92\) 1.04734e6 1.81405e6i 1.34501 2.32962i
\(93\) −431116. + 248905.i −0.535976 + 0.309446i
\(94\) −2.43398e6 + 555541.i −2.93045 + 0.668855i
\(95\) −210320. 31700.6i −0.245307 0.0369741i
\(96\) 3.13807e6 + 2.91170e6i 3.54690 + 3.29104i
\(97\) 371435. 465765.i 0.406975 0.510330i −0.535533 0.844514i \(-0.679889\pi\)
0.942508 + 0.334184i \(0.108461\pi\)
\(98\) 1.00609e6 + 1.47567e6i 1.06896 + 1.56787i
\(99\) 5342.02 4956.67i 0.00550554 0.00510839i
\(100\) −200484. 2.67527e6i −0.200484 2.67527i
\(101\) −385066. + 981133.i −0.373742 + 0.952278i 0.613015 + 0.790071i \(0.289956\pi\)
−0.986757 + 0.162207i \(0.948139\pi\)
\(102\) −484991. + 2.12488e6i −0.457018 + 2.00233i
\(103\) 509053. 157022.i 0.465855 0.143697i −0.0529367 0.998598i \(-0.516858\pi\)
0.518792 + 0.854901i \(0.326382\pi\)
\(104\) −1.39790e6 + 2.05035e6i −1.24273 + 1.82275i
\(105\) −60142.3 399018.i −0.0519532 0.344687i
\(106\) 3.47897e6 1.36539e6i 2.92101 1.14641i
\(107\) 89234.1 42972.9i 0.0728416 0.0350787i −0.397108 0.917772i \(-0.629986\pi\)
0.469950 + 0.882693i \(0.344272\pi\)
\(108\) −1.55295e6 3.22473e6i −1.23278 2.55990i
\(109\) 41301.9 + 105236.i 0.0318927 + 0.0812612i 0.945933 0.324362i \(-0.105150\pi\)
−0.914040 + 0.405623i \(0.867054\pi\)
\(110\) 430858. 64941.4i 0.323710 0.0487914i
\(111\) 1.60938e6 + 1.09726e6i 1.17676 + 0.802304i
\(112\) −2.50115e6 8.10853e6i −1.78027 5.77149i
\(113\) 764458. + 174483.i 0.529808 + 0.120925i 0.479053 0.877786i \(-0.340980\pi\)
0.0507549 + 0.998711i \(0.483837\pi\)
\(114\) −2.73313e6 1.07268e6i −1.84479 0.724026i
\(115\) 352976. 26451.9i 0.232088 0.0173926i
\(116\) −3.40708e6 3.67196e6i −2.18277 2.35247i
\(117\) −8914.44 + 6077.76i −0.00556591 + 0.00379478i
\(118\) 4.24658e6 + 3.38653e6i 2.58460 + 2.06115i
\(119\) 1.67140e6 1.80134e6i 0.991835 1.06894i
\(120\) −233561. + 1.54957e6i −0.135162 + 0.896744i
\(121\) 215013. + 942035.i 0.121369 + 0.531754i
\(122\) 1.62426e6 + 2.81330e6i 0.894491 + 1.54930i
\(123\) 107787. + 62230.9i 0.0579230 + 0.0334419i
\(124\) −3.20413e6 988344.i −1.68053 0.518374i
\(125\) 731948. 583709.i 0.374757 0.298859i
\(126\) 4585.97 61195.5i 0.00229255 0.0305920i
\(127\) 249776. + 120286.i 0.121938 + 0.0587224i 0.493858 0.869542i \(-0.335586\pi\)
−0.371920 + 0.928265i \(0.621300\pi\)
\(128\) 1.10929e7i 5.28949i
\(129\) −2.13053e6 347061.i −0.992472 0.161673i
\(130\) −645104. −0.293630
\(131\) 731502. 1.51898e6i 0.325388 0.675675i −0.672537 0.740064i \(-0.734795\pi\)
0.997925 + 0.0643882i \(0.0205096\pi\)
\(132\) 4.44308e6 + 332963.i 1.93180 + 0.144769i
\(133\) 2.06394e6 + 2.58810e6i 0.877290 + 1.10009i
\(134\) −697039. + 2.25974e6i −0.289696 + 0.939171i
\(135\) 302411. 523791.i 0.122913 0.212891i
\(136\) −8.26440e6 + 4.77145e6i −3.28545 + 1.89685i
\(137\) −1.51113e6 + 344905.i −0.587678 + 0.134134i −0.506012 0.862526i \(-0.668881\pi\)
−0.0816653 + 0.996660i \(0.526024\pi\)
\(138\) 4.83165e6 + 728254.i 1.83848 + 0.277106i
\(139\) 519962. + 482455.i 0.193610 + 0.179644i 0.771021 0.636810i \(-0.219746\pi\)
−0.577411 + 0.816454i \(0.695937\pi\)
\(140\) 1.69466e6 2.12504e6i 0.617588 0.774431i
\(141\) −2.43014e6 3.56436e6i −0.866911 1.27152i
\(142\) 3.59429e6 3.33502e6i 1.25530 1.16475i
\(143\) 89098.6 + 1.18894e6i 0.0304693 + 0.406585i
\(144\) −52343.6 + 133369.i −0.0175297 + 0.0446651i
\(145\) 188355. 825237.i 0.0617836 0.270692i
\(146\) 1.08218e6 333810.i 0.347730 0.107261i
\(147\) −1.73848e6 + 2.54988e6i −0.547290 + 0.802727i
\(148\) 1.95544e6 + 1.29735e7i 0.603198 + 4.00196i
\(149\) −1.28395e6 + 503914.i −0.388141 + 0.152334i −0.551384 0.834252i \(-0.685900\pi\)
0.163243 + 0.986586i \(0.447805\pi\)
\(150\) 5.63830e6 2.71526e6i 1.67061 0.804521i
\(151\) 1.51097e6 + 3.13756e6i 0.438858 + 0.911298i 0.996686 + 0.0813418i \(0.0259205\pi\)
−0.557828 + 0.829956i \(0.688365\pi\)
\(152\) −4.69664e6 1.19668e7i −1.33738 3.40760i
\(153\) −41027.0 + 6183.82i −0.0114550 + 0.00172656i
\(154\) −5.60309e6 3.82012e6i −1.53414 1.04596i
\(155\) −167013. 541444.i −0.0448494 0.145398i
\(156\) −6.43118e6 1.46788e6i −1.69401 0.386648i
\(157\) 793220. + 311316.i 0.204972 + 0.0804456i 0.465606 0.884992i \(-0.345836\pi\)
−0.260634 + 0.965438i \(0.583932\pi\)
\(158\) −1.14817e7 + 860431.i −2.91094 + 0.218145i
\(159\) 4.39249e6 + 4.73397e6i 1.09275 + 1.17770i
\(160\) −4.02587e6 + 2.74479e6i −0.982877 + 0.670114i
\(161\) −4.30710e6 3.43480e6i −1.03207 0.823045i
\(162\) 5.74209e6 6.18850e6i 1.35059 1.45559i
\(163\) 580363. 3.85045e6i 0.134010 0.889097i −0.816263 0.577680i \(-0.803958\pi\)
0.950273 0.311417i \(-0.100804\pi\)
\(164\) 186548. + 817319.i 0.0422920 + 0.185293i
\(165\) 376456. + 652040.i 0.0838035 + 0.145152i
\(166\) 3.93128e6 + 2.26972e6i 0.859428 + 0.496191i
\(167\) 3.02466e6 + 932983.i 0.649422 + 0.200320i 0.601927 0.798551i \(-0.294400\pi\)
0.0474952 + 0.998871i \(0.484876\pi\)
\(168\) 1.90684e7 1.52065e7i 4.02148 3.20702i
\(169\) −228795. + 3.05305e6i −0.0474008 + 0.632520i
\(170\) −2.23511e6 1.07637e6i −0.454938 0.219086i
\(171\) 55892.7i 0.0111781i
\(172\) −8.04724e6 1.21098e7i −1.58147 2.37986i
\(173\) −3.75727e6 −0.725661 −0.362830 0.931855i \(-0.618190\pi\)
−0.362830 + 0.931855i \(0.618190\pi\)
\(174\) 5.06981e6 1.05276e7i 0.962373 1.99839i
\(175\) −7.03591e6 527269.i −1.31282 0.0983825i
\(176\) 9.87145e6 + 1.23784e7i 1.81069 + 2.27053i
\(177\) −2.76643e6 + 8.96853e6i −0.498884 + 1.61734i
\(178\) 1.96373e6 3.40127e6i 0.348194 0.603089i
\(179\) 7.98726e6 4.61145e6i 1.39264 0.804041i 0.399033 0.916937i \(-0.369346\pi\)
0.993607 + 0.112896i \(0.0360126\pi\)
\(180\) −44741.7 + 10212.0i −0.00767176 + 0.00175103i
\(181\) 835430. + 125921.i 0.140888 + 0.0212355i 0.219108 0.975701i \(-0.429685\pi\)
−0.0782195 + 0.996936i \(0.524923\pi\)
\(182\) 7.35995e6 + 6.82903e6i 1.22084 + 1.13278i
\(183\) −3.49982e6 + 4.38864e6i −0.571075 + 0.716105i
\(184\) 1.20517e7 + 1.76765e7i 1.93461 + 2.83755i
\(185\) −1.62523e6 + 1.50799e6i −0.256684 + 0.238168i
\(186\) −584517. 7.79984e6i −0.0908361 1.21212i
\(187\) −1.67507e6 + 4.26801e6i −0.256158 + 0.652680i
\(188\) 6.46592e6 2.83291e7i 0.973099 4.26342i
\(189\) −8.99500e6 + 2.77459e6i −1.33234 + 0.410973i
\(190\) 1.88257e6 2.76123e6i 0.274468 0.402570i
\(191\) −224666. 1.49056e6i −0.0322432 0.213919i 0.966907 0.255128i \(-0.0821175\pi\)
−0.999151 + 0.0412080i \(0.986879\pi\)
\(192\) −3.40745e7 + 1.33732e7i −4.81422 + 1.88944i
\(193\) 1.10336e7 5.31349e6i 1.53477 0.739108i 0.540043 0.841637i \(-0.318408\pi\)
0.994730 + 0.102529i \(0.0326935\pi\)
\(194\) 4.06130e6 + 8.43337e6i 0.556237 + 1.15504i
\(195\) −407249. 1.03765e6i −0.0549232 0.139942i
\(196\) −2.05551e7 + 3.09818e6i −2.72993 + 0.411471i
\(197\) 2.38104e6 + 1.62336e6i 0.311435 + 0.212333i 0.708943 0.705266i \(-0.249172\pi\)
−0.397508 + 0.917599i \(0.630125\pi\)
\(198\) 33749.7 + 109414.i 0.00434785 + 0.0140954i
\(199\) −1.16305e7 2.65459e6i −1.47584 0.336851i −0.592495 0.805574i \(-0.701857\pi\)
−0.883345 + 0.468723i \(0.844714\pi\)
\(200\) 2.55063e7 + 1.00105e7i 3.18828 + 1.25131i
\(201\) −4.07484e6 + 305367.i −0.501791 + 0.0376040i
\(202\) −1.12640e7 1.21397e7i −1.36660 1.47284i
\(203\) −1.08848e7 + 7.42115e6i −1.30117 + 0.887122i
\(204\) −1.98331e7 1.58164e7i −2.33614 1.86301i
\(205\) −96356.6 + 103848.i −0.0111846 + 0.0120541i
\(206\) −1.24752e6 + 8.27673e6i −0.142707 + 0.946797i
\(207\) 20698.0 + 90684.0i 0.00233355 + 0.0102240i
\(208\) −1.17203e7 2.03002e7i −1.30242 2.25585i
\(209\) −5.34900e6 3.08825e6i −0.585914 0.338278i
\(210\) 6.05860e6 + 1.86883e6i 0.654205 + 0.201796i
\(211\) 6.87762e6 5.48472e6i 0.732134 0.583857i −0.184857 0.982765i \(-0.559182\pi\)
0.916991 + 0.398908i \(0.130611\pi\)
\(212\) −3.25065e6 + 4.33769e7i −0.341163 + 4.55251i
\(213\) 7.63343e6 + 3.67607e6i 0.789916 + 0.380404i
\(214\) 1.55618e6i 0.158788i
\(215\) 924744. 2.27631e6i 0.0930478 0.229042i
\(216\) 3.65559e7 3.62740
\(217\) −3.82625e6 + 7.94529e6i −0.374450 + 0.777554i
\(218\) −1.77131e6 132741.i −0.170972 0.0128126i
\(219\) 1.22011e6 + 1.52997e6i 0.116162 + 0.145663i
\(220\) −1.49482e6 + 4.84608e6i −0.140385 + 0.455117i
\(221\) 3.39408e6 5.87872e6i 0.314445 0.544635i
\(222\) −2.65046e7 + 1.53024e7i −2.42249 + 1.39863i
\(223\) −2.53110e6 + 577707.i −0.228242 + 0.0520946i −0.335112 0.942178i \(-0.608774\pi\)
0.106870 + 0.994273i \(0.465917\pi\)
\(224\) 7.49869e7 + 1.13025e7i 6.67178 + 1.00561i
\(225\) 87328.8 + 81029.3i 0.00766673 + 0.00711368i
\(226\) −7.68154e6 + 9.63235e6i −0.665462 + 0.834463i
\(227\) −9.32594e6 1.36786e7i −0.797288 1.16941i −0.982418 0.186693i \(-0.940223\pi\)
0.185131 0.982714i \(-0.440729\pi\)
\(228\) 2.50507e7 2.32436e7i 2.11356 1.96110i
\(229\) −1.22179e6 1.63036e7i −0.101739 1.35762i −0.781372 0.624065i \(-0.785480\pi\)
0.679633 0.733552i \(-0.262139\pi\)
\(230\) −2.03188e6 + 5.17714e6i −0.166999 + 0.425507i
\(231\) 2.60750e6 1.14242e7i 0.211538 0.926809i
\(232\) 4.88877e7 1.50799e7i 3.91504 1.20763i
\(233\) 4.88312e6 7.16223e6i 0.386038 0.566214i −0.583203 0.812326i \(-0.698201\pi\)
0.969241 + 0.246113i \(0.0791533\pi\)
\(234\) −25266.0 167629.i −0.00197192 0.0130828i
\(235\) 4.57081e6 1.79391e6i 0.352200 0.138228i
\(236\) −5.69574e7 + 2.74293e7i −4.33326 + 2.08679i
\(237\) −8.63228e6 1.79251e7i −0.648456 1.34653i
\(238\) 1.41058e7 + 3.59410e7i 1.04632 + 2.66599i
\(239\) 401916. 60579.1i 0.0294403 0.00443740i −0.134306 0.990940i \(-0.542880\pi\)
0.163746 + 0.986503i \(0.447642\pi\)
\(240\) −1.22305e7 8.33860e6i −0.884728 0.603197i
\(241\) 4.96419e6 + 1.60935e7i 0.354648 + 1.14974i 0.940635 + 0.339420i \(0.110231\pi\)
−0.585987 + 0.810320i \(0.699293\pi\)
\(242\) −1.48015e7 3.37834e6i −1.04438 0.238373i
\(243\) 297566. + 116786.i 0.0207379 + 0.00813903i
\(244\) −3.77037e7 + 2.82550e6i −2.59546 + 0.194503i
\(245\) −2.38924e6 2.57499e6i −0.162466 0.175096i
\(246\) −1.61577e6 + 1.10161e6i −0.108536 + 0.0739986i
\(247\) 7.14945e6 + 5.70150e6i 0.474441 + 0.378354i
\(248\) 2.32937e7 2.51047e7i 1.52716 1.64588i
\(249\) −1.16908e6 + 7.75634e6i −0.0757262 + 0.502410i
\(250\) 3.27322e6 + 1.43409e7i 0.209486 + 0.917819i
\(251\) 1.51427e7 + 2.62279e7i 0.957593 + 1.65860i 0.728319 + 0.685238i \(0.240302\pi\)
0.229274 + 0.973362i \(0.426365\pi\)
\(252\) 618558. + 357125.i 0.0386526 + 0.0223161i
\(253\) 9.82220e6 + 3.02975e6i 0.606523 + 0.187088i
\(254\) −3.40559e6 + 2.71587e6i −0.207822 + 0.165732i
\(255\) 320343. 4.27469e6i 0.0193195 0.257800i
\(256\) −7.92905e7 3.81843e7i −4.72608 2.27596i
\(257\) 2.48322e7i 1.46290i −0.681893 0.731452i \(-0.738843\pi\)
0.681893 0.731452i \(-0.261157\pi\)
\(258\) 1.94375e7 2.77942e7i 1.13183 1.61844i
\(259\) 3.45055e7 1.98605
\(260\) 3.25775e6 6.76479e6i 0.185352 0.384888i
\(261\) 221813. + 16622.6i 0.0124757 + 0.000934925i
\(262\) 1.65162e7 + 2.07106e7i 0.918344 + 1.15157i
\(263\) 1.80034e6 5.83656e6i 0.0989663 0.320841i −0.892528 0.450992i \(-0.851070\pi\)
0.991494 + 0.130151i \(0.0415464\pi\)
\(264\) −2.27533e7 + 3.94098e7i −1.23661 + 2.14187i
\(265\) −6.36573e6 + 3.67526e6i −0.342066 + 0.197492i
\(266\) −5.07083e7 + 1.15738e7i −2.69423 + 0.614940i
\(267\) 6.71065e6 + 1.01147e6i 0.352558 + 0.0531396i
\(268\) −2.01764e7 1.87210e7i −1.04819 0.972579i
\(269\) −3.74628e6 + 4.69769e6i −0.192461 + 0.241339i −0.868694 0.495349i \(-0.835040\pi\)
0.676233 + 0.736688i \(0.263611\pi\)
\(270\) 5.35329e6 + 7.85183e6i 0.271975 + 0.398914i
\(271\) 2.16702e7 2.01070e7i 1.08882 1.01028i 0.0889207 0.996039i \(-0.471658\pi\)
0.999899 0.0142380i \(-0.00453224\pi\)
\(272\) −6.73634e6 8.98902e7i −0.334747 4.46689i
\(273\) −6.33826e6 + 1.61496e7i −0.311517 + 0.793733i
\(274\) 5.41922e6 2.37432e7i 0.263442 1.15422i
\(275\) 1.25798e7 3.88035e6i 0.604889 0.186583i
\(276\) −3.20363e7 + 4.69887e7i −1.52376 + 2.23494i
\(277\) 1.63074e6 + 1.08192e7i 0.0767263 + 0.509046i 0.993876 + 0.110503i \(0.0352460\pi\)
−0.917150 + 0.398543i \(0.869516\pi\)
\(278\) −1.03745e7 + 4.07168e6i −0.482871 + 0.189513i
\(279\) 134152. 64604.1i 0.00617708 0.00297473i
\(280\) 1.20448e7 + 2.50113e7i 0.548688 + 1.13936i
\(281\) −2.38230e6 6.06999e6i −0.107369 0.273571i 0.867085 0.498161i \(-0.165991\pi\)
−0.974453 + 0.224590i \(0.927896\pi\)
\(282\) 6.70249e7 1.01024e7i 2.98875 0.450481i
\(283\) 2.05428e7 + 1.40059e7i 0.906361 + 0.617946i 0.924206 0.381895i \(-0.124728\pi\)
−0.0178454 + 0.999841i \(0.505681\pi\)
\(284\) 1.68211e7 + 5.45327e7i 0.734344 + 2.38069i
\(285\) 5.62990e6 + 1.28499e6i 0.243201 + 0.0555091i
\(286\) −1.74383e7 6.84403e6i −0.745429 0.292559i
\(287\) 2.19865e6 164766.i 0.0930058 0.00696982i
\(288\) −870902. 938609.i −0.0364579 0.0392923i
\(289\) 1.62493e6 1.10786e6i 0.0673197 0.0458978i
\(290\) 1.03982e7 + 8.29227e6i 0.426347 + 0.340000i
\(291\) −1.10012e7 + 1.18565e7i −0.446440 + 0.481148i
\(292\) −1.96454e6 + 1.30339e7i −0.0789065 + 0.523511i
\(293\) −769740. 3.37245e6i −0.0306014 0.134074i 0.957320 0.289031i \(-0.0933331\pi\)
−0.987921 + 0.154958i \(0.950476\pi\)
\(294\) −2.42450e7 4.19936e7i −0.954070 1.65250i
\(295\) −9.25155e6 5.34138e6i −0.360370 0.208060i
\(296\) −1.28048e8 3.94975e7i −4.93739 1.52298i
\(297\) 1.37317e7 1.09507e7i 0.524149 0.417995i
\(298\) 1.61954e6 2.16112e7i 0.0611987 0.816640i
\(299\) −1.37111e7 6.60292e6i −0.512931 0.247015i
\(300\) 7.28371e7i 2.69767i
\(301\) −3.46472e7 + 1.61810e7i −1.27048 + 0.593341i
\(302\) −5.47166e7 −1.98655
\(303\) 1.24159e7 2.57820e7i 0.446326 0.926805i
\(304\) 1.21093e8 + 9.07468e6i 4.31022 + 0.323006i
\(305\) −3.98357e6 4.99524e6i −0.140402 0.176058i
\(306\) 192153. 622944.i 0.00670629 0.0217413i
\(307\) 1.21477e7 2.10404e7i 0.419835 0.727176i −0.576087 0.817388i \(-0.695421\pi\)
0.995923 + 0.0902124i \(0.0287546\pi\)
\(308\) 6.83545e7 3.94645e7i 2.33946 1.35069i
\(309\) −1.41007e7 + 3.21839e6i −0.477931 + 0.109085i
\(310\) 8.80339e6 + 1.32690e6i 0.295505 + 0.0445402i
\(311\) 5.73904e6 + 5.32505e6i 0.190791 + 0.177028i 0.769784 0.638304i \(-0.220364\pi\)
−0.578993 + 0.815332i \(0.696554\pi\)
\(312\) 4.20069e7 5.26750e7i 1.38311 1.73437i
\(313\) 7.30999e6 + 1.07218e7i 0.238388 + 0.349651i 0.926725 0.375740i \(-0.122611\pi\)
−0.688337 + 0.725391i \(0.741659\pi\)
\(314\) −9.81467e6 + 9.10668e6i −0.317020 + 0.294152i
\(315\) 9019.63 + 120359.i 0.000288574 + 0.00385075i
\(316\) 4.89591e7 1.24746e8i 1.55157 3.95335i
\(317\) −8.23347e6 + 3.60732e7i −0.258467 + 1.13242i 0.664424 + 0.747356i \(0.268677\pi\)
−0.922891 + 0.385062i \(0.874180\pi\)
\(318\) −9.69601e7 + 2.99082e7i −3.01517 + 0.930056i
\(319\) 1.38467e7 2.03093e7i 0.426553 0.625638i
\(320\) −6.20975e6 4.11990e7i −0.189507 1.25729i
\(321\) −2.50312e6 + 982402.i −0.0756774 + 0.0297012i
\(322\) 7.79865e7 3.75563e7i 2.33589 1.12490i
\(323\) 1.52578e7 + 3.16832e7i 0.452777 + 0.940201i
\(324\) 3.58975e7 + 9.14652e7i 1.05543 + 2.68919i
\(325\) −1.92730e7 + 2.90494e6i −0.561435 + 0.0846227i
\(326\) 5.05514e7 + 3.44654e7i 1.45908 + 0.994787i
\(327\) −904696. 2.93295e6i −0.0258738 0.0838807i
\(328\) −8.34765e6 1.90530e6i −0.236561 0.0539935i
\(329\) −7.11383e7 2.79197e7i −1.99763 0.784013i
\(330\) −1.17968e7 + 884051.i −0.328264 + 0.0246000i
\(331\) 3.00245e7 + 3.23587e7i 0.827926 + 0.892293i 0.995615 0.0935475i \(-0.0298207\pi\)
−0.167688 + 0.985840i \(0.553630\pi\)
\(332\) −4.36539e7 + 2.97627e7i −1.19291 + 0.813315i
\(333\) −455500. 363249.i −0.0123355 0.00983721i
\(334\) −3.38275e7 + 3.64573e7i −0.907884 + 0.978466i
\(335\) 693207. 4.59912e6i 0.0184386 0.122332i
\(336\) 5.12647e7 + 2.24605e8i 1.35145 + 5.92110i
\(337\) −1.00958e7 1.74864e7i −0.263785 0.456889i 0.703459 0.710735i \(-0.251638\pi\)
−0.967245 + 0.253846i \(0.918304\pi\)
\(338\) −4.16599e7 2.40524e7i −1.07887 0.622885i
\(339\) −2.03430e7 6.27498e6i −0.522174 0.161069i
\(340\) 2.25744e7 1.80025e7i 0.574354 0.458032i
\(341\) 1.22961e6 1.64081e7i 0.0310103 0.413803i
\(342\) 791230. + 381036.i 0.0197799 + 0.00952550i
\(343\) 1.91380e6i 0.0474257i
\(344\) 1.47095e8 2.03868e7i 3.61346 0.500811i
\(345\) −9.61017e6 −0.234031
\(346\) 2.56143e7 5.31887e7i 0.618379 1.28408i
\(347\) 7.05664e6 + 528822.i 0.168892 + 0.0126567i 0.158908 0.987293i \(-0.449203\pi\)
0.00998448 + 0.999950i \(0.496822\pi\)
\(348\) 8.47933e7 + 1.06327e8i 2.01198 + 2.52295i
\(349\) 1.24278e7 4.02898e7i 0.292359 0.947805i −0.683601 0.729856i \(-0.739587\pi\)
0.975960 0.217949i \(-0.0699366\pi\)
\(350\) 5.54299e7 9.60074e7i 1.29283 2.23924i
\(351\) −2.25195e7 + 1.30017e7i −0.520760 + 0.300661i
\(352\) −1.37946e8 + 3.14853e7i −3.16287 + 0.721905i
\(353\) −8.18231e7 1.23328e7i −1.86017 0.280375i −0.879476 0.475943i \(-0.842107\pi\)
−0.980690 + 0.195568i \(0.937345\pi\)
\(354\) −1.08101e8 1.00303e8i −2.43680 2.26102i
\(355\) −6.01265e6 + 7.53962e6i −0.134394 + 0.168525i
\(356\) 2.57502e7 + 3.77686e7i 0.570730 + 0.837107i
\(357\) −4.89063e7 + 4.53784e7i −1.07488 + 0.997344i
\(358\) 1.08293e7 + 1.44507e8i 0.236021 + 3.14949i
\(359\) 6.87563e6 1.75188e7i 0.148604 0.378636i −0.837117 0.547024i \(-0.815761\pi\)
0.985721 + 0.168388i \(0.0538561\pi\)
\(360\) 104300. 456968.i 0.00223551 0.00979440i
\(361\) −312105. + 96271.7i −0.00663406 + 0.00204634i
\(362\) −7.47793e6 + 1.09681e7i −0.157636 + 0.231210i
\(363\) −3.90997e6 2.59409e7i −0.0817435 0.542333i
\(364\) −1.08779e8 + 4.26926e7i −2.25549 + 0.885215i
\(365\) −2.00680e6 + 966426.i −0.0412692 + 0.0198742i
\(366\) −3.82673e7 7.94629e7i −0.780521 1.62077i
\(367\) −215541. 549189.i −0.00436045 0.0111102i 0.928677 0.370890i \(-0.120947\pi\)
−0.933037 + 0.359779i \(0.882852\pi\)
\(368\) −1.99830e8 + 3.01195e7i −4.00975 + 0.604373i
\(369\) −30758.4 20970.7i −0.000612188 0.000417383i
\(370\) −1.02678e7 3.32874e7i −0.202709 0.657166i
\(371\) 1.11532e8 + 2.54565e7i 2.18413 + 0.498513i
\(372\) 8.47436e7 + 3.32594e7i 1.64618 + 0.646079i
\(373\) 2.44337e7 1.83105e6i 0.470828 0.0352837i 0.162796 0.986660i \(-0.447949\pi\)
0.308032 + 0.951376i \(0.400330\pi\)
\(374\) −4.89995e7 5.28089e7i −0.936648 1.00947i
\(375\) −2.10011e7 + 1.43183e7i −0.398243 + 0.271517i
\(376\) 2.32031e8 + 1.85038e8i 4.36498 + 3.48095i
\(377\) −2.47529e7 + 2.66773e7i −0.461958 + 0.497872i
\(378\) 2.20437e7 1.46250e8i 0.408140 2.70783i
\(379\) 1.02511e7 + 4.49130e7i 0.188301 + 0.825001i 0.977512 + 0.210879i \(0.0676326\pi\)
−0.789211 + 0.614122i \(0.789510\pi\)
\(380\) 1.94483e7 + 3.36854e7i 0.354430 + 0.613891i
\(381\) −6.51840e6 3.76340e6i −0.117860 0.0680465i
\(382\) 2.26324e7 + 6.98116e6i 0.406013 + 0.125238i
\(383\) 3.13306e7 2.49853e7i 0.557664 0.444722i −0.303658 0.952781i \(-0.598208\pi\)
0.861322 + 0.508059i \(0.169637\pi\)
\(384\) 2.25065e7 3.00329e8i 0.397480 5.30400i
\(385\) 1.20168e7 + 5.78700e6i 0.210575 + 0.101408i
\(386\) 1.92417e8i 3.34566i
\(387\) 627711. + 151139.i 0.0108300 + 0.00260762i
\(388\) −1.08945e8 −1.86514
\(389\) −1.99685e7 + 4.14650e7i −0.339232 + 0.704422i −0.998888 0.0471457i \(-0.984987\pi\)
0.659656 + 0.751567i \(0.270702\pi\)
\(390\) 1.74656e7 + 1.30886e6i 0.294435 + 0.0220649i
\(391\) −3.64881e7 4.57546e7i −0.610409 0.765428i
\(392\) 6.25795e7 2.02878e8i 1.03890 3.36803i
\(393\) −2.28866e7 + 3.96408e7i −0.377054 + 0.653077i
\(394\) −3.92129e7 + 2.26396e7i −0.641122 + 0.370152i
\(395\) 2.20776e7 5.03906e6i 0.358228 0.0817632i
\(396\) −1.31779e6 198624.i −0.0212207 0.00319851i
\(397\) 2.38114e7 + 2.20937e7i 0.380551 + 0.353099i 0.847135 0.531377i \(-0.178325\pi\)
−0.466585 + 0.884477i \(0.654516\pi\)
\(398\) 1.16867e8 1.46547e8i 1.85372 2.32449i
\(399\) −5.06283e7 7.42580e7i −0.797030 1.16903i
\(400\) −1.89731e8 + 1.76045e8i −2.96455 + 2.75070i
\(401\) −6.35181e6 8.47590e7i −0.0985063 1.31448i −0.799222 0.601035i \(-0.794755\pi\)
0.700716 0.713440i \(-0.252864\pi\)
\(402\) 2.34565e7 5.97662e7i 0.361065 0.919978i
\(403\) −5.42078e6 + 2.37500e7i −0.0828222 + 0.362868i
\(404\) 1.84185e8 5.68134e7i 2.79325 0.861602i
\(405\) −9.35327e6 + 1.37187e7i −0.140799 + 0.206514i
\(406\) −3.08506e7 2.04680e8i −0.460984 3.05843i
\(407\) −5.99312e7 + 2.35213e7i −0.888934 + 0.348881i
\(408\) 2.33432e8 1.12415e8i 3.43700 1.65517i
\(409\) 3.78037e7 + 7.85001e7i 0.552540 + 1.14736i 0.970990 + 0.239121i \(0.0768594\pi\)
−0.418450 + 0.908240i \(0.637426\pi\)
\(410\) −813202. 2.07200e6i −0.0117990 0.0300635i
\(411\) 4.16121e7 6.27202e6i 0.599369 0.0903403i
\(412\) −8.04928e7 5.48790e7i −1.15097 0.784720i
\(413\) 4.90067e7 + 1.58876e8i 0.695673 + 2.25532i
\(414\) −1.42485e6 325212.i −0.0200802 0.00458317i
\(415\) −8.31097e6 3.26182e6i −0.116281 0.0456368i
\(416\) 2.08900e8 1.56549e7i 2.90174 0.217455i
\(417\) −1.30986e7 1.41170e7i −0.180642 0.194685i
\(418\) 8.01836e7 5.46682e7i 1.09788 0.748525i
\(419\) −1.76942e7 1.41107e7i −0.240541 0.191825i 0.495798 0.868438i \(-0.334876\pi\)
−0.736339 + 0.676613i \(0.763447\pi\)
\(420\) −5.01929e7 + 5.40950e7i −0.677476 + 0.730146i
\(421\) 1.09065e7 7.23596e7i 0.146163 0.969728i −0.788715 0.614759i \(-0.789253\pi\)
0.934878 0.354969i \(-0.115509\pi\)
\(422\) 3.07563e7 + 1.34752e8i 0.409257 + 1.79307i
\(423\) 645162. + 1.11745e6i 0.00852409 + 0.0147642i
\(424\) −3.84749e8 2.22135e8i −5.04755 2.91420i
\(425\) −7.16226e7 2.20927e7i −0.933004 0.287794i
\(426\) −1.04079e8 + 8.29999e7i −1.34627 + 1.07361i
\(427\) −7.43102e6 + 9.91601e7i −0.0954476 + 1.27366i
\(428\) −1.63186e7 7.85863e6i −0.208138 0.100234i
\(429\) 3.23702e7i 0.409990i
\(430\) 2.59197e7 + 2.86091e7i 0.326005 + 0.359831i
\(431\) −5.50495e7 −0.687577 −0.343789 0.939047i \(-0.611710\pi\)
−0.343789 + 0.939047i \(0.611710\pi\)
\(432\) −1.49823e8 + 3.11110e8i −1.85835 + 3.85890i
\(433\) 3.35346e7 + 2.51307e6i 0.413075 + 0.0309557i 0.279647 0.960103i \(-0.409782\pi\)
0.133428 + 0.991059i \(0.457401\pi\)
\(434\) −8.63907e7 1.08331e8i −1.05681 1.32520i
\(435\) −6.77387e6 + 2.19604e7i −0.0822942 + 0.266791i
\(436\) 1.03370e7 1.79042e7i 0.124720 0.216021i
\(437\) 6.82747e7 3.94184e7i 0.818117 0.472340i
\(438\) −2.99764e7 + 6.84191e6i −0.356744 + 0.0814245i
\(439\) 8.02848e7 + 1.21010e7i 0.948942 + 0.143030i 0.605235 0.796047i \(-0.293079\pi\)
0.343707 + 0.939077i \(0.388317\pi\)
\(440\) −3.79695e7 3.52305e7i −0.445735 0.413581i
\(441\) 575528. 721689.i 0.00671044 0.00841462i
\(442\) 6.00821e7 + 8.81243e7i 0.695790 + 1.02054i
\(443\) −4.86389e6 + 4.51303e6i −0.0559465 + 0.0519108i −0.707651 0.706563i \(-0.750245\pi\)
0.651704 + 0.758473i \(0.274054\pi\)
\(444\) −2.66195e7 3.55213e8i −0.304125 4.05826i
\(445\) −2.82207e6 + 7.19051e6i −0.0320249 + 0.0815980i
\(446\) 9.07706e6 3.97692e7i 0.102315 0.448273i
\(447\) 3.57841e7 1.10379e7i 0.400653 0.123585i
\(448\) −3.65283e8 + 5.35772e8i −4.06252 + 5.95863i
\(449\) 6.48249e6 + 4.30085e7i 0.0716148 + 0.475133i 0.995676 + 0.0928896i \(0.0296104\pi\)
−0.924062 + 0.382244i \(0.875152\pi\)
\(450\) −1.74241e6 + 683847.i −0.0191211 + 0.00750450i
\(451\) −3.70642e6 + 1.78492e6i −0.0404041 + 0.0194576i
\(452\) −6.22167e7 1.29194e8i −0.673739 1.39903i
\(453\) −3.45421e7 8.80120e7i −0.371582 0.946776i
\(454\) 2.57216e8 3.87690e7i 2.74872 0.414302i
\(455\) −1.63156e7 1.11238e7i −0.173208 0.118092i
\(456\) 1.02877e8 + 3.33520e8i 1.08499 + 3.51744i
\(457\) 1.33482e8 + 3.04664e7i 1.39854 + 0.319207i 0.854325 0.519739i \(-0.173971\pi\)
0.544214 + 0.838947i \(0.316828\pi\)
\(458\) 2.39127e8 + 9.38504e7i 2.48904 + 0.976877i
\(459\) −9.97175e7 + 7.47279e6i −1.03118 + 0.0772760i
\(460\) −4.40284e7 4.74514e7i −0.452335 0.487501i
\(461\) 6.29766e7 4.29367e7i 0.642801 0.438254i −0.197553 0.980292i \(-0.563299\pi\)
0.840354 + 0.542038i \(0.182347\pi\)
\(462\) 1.43948e8 + 1.14794e8i 1.45975 + 1.16411i
\(463\) −1.04999e8 + 1.13162e8i −1.05789 + 1.14014i −0.0680913 + 0.997679i \(0.521691\pi\)
−0.989801 + 0.142458i \(0.954500\pi\)
\(464\) −7.20266e7 + 4.77865e8i −0.721006 + 4.78356i
\(465\) 3.42318e6 + 1.49979e7i 0.0340464 + 0.149167i
\(466\) 6.81005e7 + 1.17954e8i 0.672965 + 1.16561i
\(467\) 1.49221e8 + 8.61530e7i 1.46514 + 0.845901i 0.999242 0.0389346i \(-0.0123964\pi\)
0.465903 + 0.884836i \(0.345730\pi\)
\(468\) 1.88541e6 + 581570.i 0.0183936 + 0.00567368i
\(469\) −5.65948e7 + 4.51328e7i −0.548602 + 0.437496i
\(470\) −5.76549e6 + 7.69351e7i −0.0555319 + 0.741022i
\(471\) −2.08441e7 1.00380e7i −0.199489 0.0960689i
\(472\) 6.45674e8i 6.14027i
\(473\) 4.91472e7 5.17218e7i 0.464425 0.488754i
\(474\) 3.12601e8 2.93532
\(475\) 4.38094e7 9.09712e7i 0.408777 0.848834i
\(476\) −4.48123e8 3.35822e7i −4.15505 0.311378i
\(477\) −1.20432e6 1.51017e6i −0.0110966 0.0139146i
\(478\) −1.88240e6 + 6.10260e6i −0.0172357 + 0.0558768i
\(479\) 3.21199e7 5.56334e7i 0.292259 0.506208i −0.682084 0.731274i \(-0.738926\pi\)
0.974344 + 0.225066i \(0.0722596\pi\)
\(480\) 1.14565e8 6.61444e7i 1.03593 0.598094i
\(481\) 9.29292e7 2.12105e7i 0.835059 0.190597i
\(482\) −2.61666e8 3.94398e7i −2.33671 0.352203i
\(483\) 1.09642e8 + 1.01733e8i 0.973048 + 0.902857i
\(484\) 1.10173e8 1.38153e8i 0.971717 1.21850i
\(485\) −1.03706e7 1.52109e7i −0.0909032 0.133330i
\(486\) −3.68185e6 + 3.41625e6i −0.0320743 + 0.0297606i
\(487\) 1.47184e6 + 1.96404e7i 0.0127431 + 0.170044i 0.999944 + 0.0105643i \(0.00336277\pi\)
−0.987201 + 0.159480i \(0.949018\pi\)
\(488\) 1.41082e8 3.59471e8i 1.21398 3.09317i
\(489\) −2.35250e7 + 1.03070e8i −0.201189 + 0.881465i
\(490\) 5.27403e7 1.62682e7i 0.448285 0.138278i
\(491\) 3.87782e7 5.68772e7i 0.327600 0.480501i −0.626738 0.779230i \(-0.715610\pi\)
0.954338 + 0.298729i \(0.0965628\pi\)
\(492\) −3.39233e6 2.25066e7i −0.0284841 0.188980i
\(493\) −1.30274e8 + 5.11287e7i −1.08722 + 0.426701i
\(494\) −1.29452e8 + 6.23406e7i −1.07381 + 0.517119i
\(495\) −97710.2 202897.i −0.000805609 0.00167286i
\(496\) 1.18186e8 + 3.01133e8i 0.968547 + 2.46782i
\(497\) 1.48412e8 2.23695e7i 1.20892 0.182216i
\(498\) −1.01831e8 6.94269e7i −0.824499 0.562134i
\(499\) −3.05496e7 9.90393e7i −0.245869 0.797087i −0.991429 0.130649i \(-0.958294\pi\)
0.745560 0.666439i \(-0.232182\pi\)
\(500\) −1.66914e8 3.80969e7i −1.33531 0.304776i
\(501\) −7.99968e7 3.13964e7i −0.636150 0.249670i
\(502\) −4.74519e8 + 3.55603e7i −3.75096 + 0.281096i
\(503\) −1.04809e8 1.12958e8i −0.823561 0.887588i 0.171668 0.985155i \(-0.445084\pi\)
−0.995229 + 0.0975669i \(0.968894\pi\)
\(504\) −6.02738e6 + 4.10940e6i −0.0470800 + 0.0320986i
\(505\) 2.54651e7 + 2.03078e7i 0.197730 + 0.157684i
\(506\) −1.09851e8 + 1.18391e8i −0.847911 + 0.913831i
\(507\) 1.23888e7 8.21942e7i 0.0950616 0.630692i
\(508\) −1.12814e7 4.94272e7i −0.0860545 0.377029i
\(509\) −1.06401e8 1.84293e8i −0.806852 1.39751i −0.915034 0.403377i \(-0.867836\pi\)
0.108182 0.994131i \(-0.465497\pi\)
\(510\) 5.83296e7 + 3.36766e7i 0.439722 + 0.253874i
\(511\) 3.31260e7 + 1.02180e7i 0.248260 + 0.0765780i
\(512\) 5.26036e8 4.19500e8i 3.91927 3.12552i
\(513\) 1.00668e7 1.34332e8i 0.0745656 0.995009i
\(514\) 3.51530e8 + 1.69288e8i 2.58865 + 1.24663i
\(515\) 1.64624e7i 0.120524i
\(516\) 1.93302e8 + 3.44188e8i 1.40698 + 2.50523i
\(517\) 1.42589e8 1.03184
\(518\) −2.35234e8 + 4.88468e8i −1.69243 + 3.51437i
\(519\) 1.01724e8 + 7.62319e6i 0.727651 + 0.0545299i
\(520\) 4.78131e7 + 5.99557e7i 0.340045 + 0.426403i
\(521\) 2.35230e7 7.62598e7i 0.166334 0.539240i −0.833580 0.552399i \(-0.813712\pi\)
0.999913 + 0.0131587i \(0.00418866\pi\)
\(522\) −1.74747e6 + 3.02671e6i −0.0122857 + 0.0212794i
\(523\) −1.84596e8 + 1.06576e8i −1.29038 + 0.744999i −0.978721 0.205196i \(-0.934217\pi\)
−0.311656 + 0.950195i \(0.600884\pi\)
\(524\) −3.00585e8 + 6.86065e7i −2.08917 + 0.476839i
\(525\) 1.89421e8 + 2.85506e7i 1.30903 + 0.197305i
\(526\) 7.03503e7 + 6.52755e7i 0.483402 + 0.448532i
\(527\) −5.84089e7 + 7.32425e7i −0.399068 + 0.500416i
\(528\) −2.42145e8 3.55162e8i −1.64503 2.41282i
\(529\) 1.23419e7 1.14516e7i 0.0833712 0.0773572i
\(530\) −8.63080e6 1.15170e8i −0.0579727 0.773591i
\(531\) 1.02560e6 2.61319e6i 0.00685007 0.0174537i
\(532\) 1.34708e8 5.90192e8i 0.894658 3.91975i
\(533\) 5.82005e6 1.79525e6i 0.0384366 0.0118561i
\(534\) −6.00669e7 + 8.81020e7i −0.394468 + 0.578578i
\(535\) −456170. 3.02649e6i −0.00297896 0.0197641i
\(536\) 2.61682e8 1.02703e8i 1.69934 0.666940i
\(537\) −2.25604e8 + 1.08645e8i −1.45688 + 0.701596i
\(538\) −4.09621e7 8.50586e7i −0.263048 0.546225i
\(539\) −3.72668e7 9.49544e7i −0.237989 0.606385i
\(540\) −1.09371e8 + 1.64850e7i −0.694577 + 0.104691i
\(541\) 9.61459e7 + 6.55512e7i 0.607210 + 0.413989i 0.827516 0.561442i \(-0.189753\pi\)
−0.220306 + 0.975431i \(0.570706\pi\)
\(542\) 1.36908e8 + 4.43844e8i 0.859865 + 2.78761i
\(543\) −2.23630e7 5.10421e6i −0.139679 0.0318808i
\(544\) 7.49902e8 + 2.94315e8i 4.65809 + 1.82816i
\(545\) 3.48379e6 261074.i 0.0215210 0.00161277i
\(546\) −1.85408e8 1.99822e8i −1.13907 1.22763i
\(547\) −2.30738e8 + 1.57314e8i −1.40980 + 0.961183i −0.411025 + 0.911624i \(0.634829\pi\)
−0.998771 + 0.0495587i \(0.984219\pi\)
\(548\) 2.21612e8 + 1.76730e8i 1.34664 + 1.07391i
\(549\) 1.14198e6 1.23076e6i 0.00690147 0.00743802i
\(550\) −3.08288e7 + 2.04536e8i −0.185297 + 1.22937i
\(551\) −4.19512e7 1.83800e8i −0.250778 1.09873i
\(552\) −2.90423e8 5.03027e8i −1.72669 2.99071i
\(553\) −3.05224e8 1.76221e8i −1.80486 1.04204i
\(554\) −1.64277e8 5.06726e7i −0.966154 0.298019i
\(555\) 4.70610e7 3.75299e7i 0.275285 0.219532i
\(556\) 9.69360e6 1.29352e8i 0.0563976 0.752574i
\(557\) 2.72635e8 + 1.31294e8i 1.57767 + 0.759767i 0.998464 0.0554132i \(-0.0176476\pi\)
0.579208 + 0.815180i \(0.303362\pi\)
\(558\) 2.33951e6i 0.0134655i
\(559\) −8.33643e7 + 6.48756e7i −0.477249 + 0.371403i
\(560\) −2.62225e8 −1.49317
\(561\) 5.40104e7 1.12154e8i 0.305906 0.635221i
\(562\) 1.02169e8 + 7.65651e6i 0.575586 + 0.0431342i
\(563\) −2.42037e7 3.03505e7i −0.135630 0.170075i 0.709378 0.704828i \(-0.248976\pi\)
−0.845008 + 0.534753i \(0.820405\pi\)
\(564\) −2.32536e8 + 7.53863e8i −1.29614 + 4.20199i
\(565\) 1.21157e7 2.09849e7i 0.0671741 0.116349i
\(566\) −3.38316e8 + 1.95327e8i −1.86584 + 1.07724i
\(567\) 2.51936e8 5.75028e7i 1.38211 0.315457i
\(568\) −5.76353e8 8.68712e7i −3.14516 0.474057i
\(569\) −4.64581e7 4.31068e7i −0.252188 0.233996i 0.543941 0.839124i \(-0.316932\pi\)
−0.796129 + 0.605127i \(0.793122\pi\)
\(570\) −5.65712e7 + 7.09380e7i −0.305471 + 0.383049i
\(571\) −1.43239e8 2.10093e8i −0.769401 1.12850i −0.988265 0.152749i \(-0.951188\pi\)
0.218864 0.975755i \(-0.429765\pi\)
\(572\) 1.59832e8 1.48302e8i 0.854033 0.792427i
\(573\) 3.05839e6 + 4.08114e7i 0.0162566 + 0.216929i
\(574\) −1.26563e7 + 3.22478e7i −0.0669226 + 0.170516i
\(575\) −3.73911e7 + 1.63821e8i −0.196682 + 0.861720i
\(576\) 1.04622e7 3.22718e6i 0.0547466 0.0168871i
\(577\) 3.85505e7 5.65431e7i 0.200679 0.294342i −0.712686 0.701483i \(-0.752522\pi\)
0.913365 + 0.407141i \(0.133474\pi\)
\(578\) 4.60551e6 + 3.05556e7i 0.0238503 + 0.158236i
\(579\) −3.09504e8 + 1.21471e8i −1.59452 + 0.625804i
\(580\) −1.39466e8 + 6.71633e7i −0.714800 + 0.344230i
\(581\) 6.02898e7 + 1.25193e8i 0.307408 + 0.638340i
\(582\) −9.28451e7 2.36566e8i −0.470967 1.20000i
\(583\) −2.11068e8 + 3.18134e7i −1.06517 + 0.160548i
\(584\) −1.11232e8 7.58368e7i −0.558460 0.380752i
\(585\) 98275.6 + 318602.i 0.000490883 + 0.00159140i
\(586\) 5.29888e7 + 1.20943e7i 0.263324 + 0.0601020i
\(587\) −2.75013e6 1.07935e6i −0.0135969 0.00533638i 0.358533 0.933517i \(-0.383277\pi\)
−0.372130 + 0.928181i \(0.621372\pi\)
\(588\) 5.62796e8 4.21757e7i 2.76834 0.207458i
\(589\) −8.58374e7 9.25108e7i −0.420079 0.452737i
\(590\) 1.38684e8 9.45533e7i 0.675260 0.460385i
\(591\) −6.11707e7 4.87820e7i −0.296334 0.236318i
\(592\) 8.60945e8 9.27878e8i 4.14964 4.47225i
\(593\) 4.51472e7 2.99532e8i 0.216505 1.43641i −0.571428 0.820652i \(-0.693610\pi\)
0.787932 0.615762i \(-0.211152\pi\)
\(594\) 6.14072e7 + 2.69043e8i 0.292995 + 1.28369i
\(595\) −3.79688e7 6.57638e7i −0.180250 0.312202i
\(596\) 2.18444e8 + 1.26119e8i 1.03181 + 0.595719i
\(597\) 3.09499e8 + 9.54678e7i 1.45458 + 0.448677i
\(598\) 1.86945e8 1.49084e8i 0.874199 0.697150i
\(599\) −2.77251e7 + 3.69966e8i −0.129001 + 1.72140i 0.439099 + 0.898439i \(0.355298\pi\)
−0.568100 + 0.822960i \(0.692321\pi\)
\(600\) −6.70248e8 3.22774e8i −3.10300 1.49433i
\(601\) 1.00593e8i 0.463388i 0.972789 + 0.231694i \(0.0744268\pi\)
−0.972789 + 0.231694i \(0.925573\pi\)
\(602\) 7.13832e6 6.00784e8i 0.0327195 2.75378i
\(603\) 1.22222e6 0.00557439
\(604\) 2.76317e8 5.73778e8i 1.25400 2.60395i
\(605\) 2.97765e7 + 2.23144e6i 0.134465 + 0.0100767i
\(606\) 2.80333e8 + 3.51526e8i 1.25967 + 1.57957i
\(607\) 3.53254e7 1.14522e8i 0.157950 0.512063i −0.841659 0.540009i \(-0.818421\pi\)
0.999609 + 0.0279467i \(0.00889687\pi\)
\(608\) −5.42614e8 + 9.39836e8i −2.41424 + 4.18159i
\(609\) 3.09753e8 1.78836e8i 1.37140 0.791778i
\(610\) 9.78709e7 2.23384e7i 0.431185 0.0984152i
\(611\) −2.08750e8 3.14639e7i −0.915171 0.137940i
\(612\) 5.56204e6 + 5.16082e6i 0.0242650 + 0.0225146i
\(613\) 1.08339e8 1.35852e8i 0.470330 0.589775i −0.488922 0.872327i \(-0.662610\pi\)
0.959252 + 0.282553i \(0.0911812\pi\)
\(614\) 2.15039e8 + 3.15404e8i 0.928992 + 1.36258i
\(615\) 2.81946e6 2.61608e6i 0.0121211 0.0112467i
\(616\) 6.02428e7 + 8.03885e8i 0.257729 + 3.43915i
\(617\) −3.34763e7 + 8.52963e7i −0.142522 + 0.363141i −0.984255 0.176753i \(-0.943440\pi\)
0.841733 + 0.539894i \(0.181536\pi\)
\(618\) 5.05681e7 2.21553e8i 0.214245 0.938670i
\(619\) 2.50462e8 7.72572e7i 1.05601 0.325737i 0.282335 0.959316i \(-0.408891\pi\)
0.773678 + 0.633579i \(0.218415\pi\)
\(620\) −5.83711e7 + 8.56146e7i −0.244919 + 0.359230i
\(621\) 3.34124e7 + 2.21677e8i 0.139519 + 0.925647i
\(622\) −1.14507e8 + 4.49408e7i −0.475841 + 0.186754i
\(623\) 1.08315e8 5.21617e7i 0.447945 0.215719i
\(624\) 2.76129e8 + 5.73388e8i 1.13647 + 2.35991i
\(625\) 7.31735e7 + 1.86443e8i 0.299719 + 0.763671i
\(626\) −2.01614e8 + 3.03885e7i −0.821861 + 0.123876i
\(627\) 1.38553e8 + 9.44640e7i 0.562101 + 0.383234i
\(628\) −4.59322e7 1.48908e8i −0.185455 0.601229i
\(629\) 3.57364e8 + 8.15661e7i 1.43602 + 0.327761i
\(630\) −1.76531e6 692834.i −0.00705992 0.00277082i
\(631\) −3.27156e8 + 2.45170e7i −1.30217 + 0.0975841i −0.707688 0.706525i \(-0.750262\pi\)
−0.594481 + 0.804109i \(0.702643\pi\)
\(632\) 9.30952e8 + 1.00333e9i 3.68788 + 3.97458i
\(633\) −1.97333e8 + 1.34539e8i −0.778016 + 0.530442i
\(634\) −4.54530e8 3.62476e8i −1.78359 1.42237i
\(635\) 5.82715e6 6.28017e6i 0.0227580 0.0245273i
\(636\) 1.76016e8 1.16779e9i 0.684198 4.53936i
\(637\) 3.36057e7 + 1.47236e8i 0.130015 + 0.569634i
\(638\) 1.93107e8 + 3.34471e8i 0.743593 + 1.28794i
\(639\) −2.19464e6 1.26708e6i −0.00841126 0.00485624i
\(640\) 3.27569e8 + 1.01042e8i 1.24958 + 0.385444i
\(641\) 2.05834e8 1.64147e8i 0.781524 0.623245i −0.149267 0.988797i \(-0.547691\pi\)
0.930791 + 0.365552i \(0.119120\pi\)
\(642\) 3.15736e6 4.21320e7i 0.0119322 0.159224i
\(643\) −2.36039e8 1.13670e8i −0.887872 0.427577i −0.0663784 0.997795i \(-0.521144\pi\)
−0.821493 + 0.570218i \(0.806859\pi\)
\(644\) 1.00745e9i 3.77195i
\(645\) −2.96550e7 + 5.97527e7i −0.110514 + 0.222678i
\(646\) −5.52531e8 −2.04955
\(647\) 9.32985e7 1.93736e8i 0.344478 0.715317i −0.654698 0.755890i \(-0.727204\pi\)
0.999177 + 0.0405737i \(0.0129185\pi\)
\(648\) −1.00074e9 7.49952e7i −3.67788 0.275619i
\(649\) −1.93418e8 2.42538e8i −0.707559 0.887250i
\(650\) 9.02665e7 2.92637e8i 0.328690 1.06559i
\(651\) 1.19712e8 2.07348e8i 0.433907 0.751548i
\(652\) −6.16699e8 + 3.56051e8i −2.22500 + 1.28460i
\(653\) −2.88615e8 + 6.58745e7i −1.03652 + 0.236580i −0.706737 0.707476i \(-0.749834\pi\)
−0.329786 + 0.944056i \(0.606977\pi\)
\(654\) 4.76871e7 + 7.18768e6i 0.170478 + 0.0256954i
\(655\) −3.81920e7 3.54370e7i −0.135909 0.126105i
\(656\) 5.04276e7 6.32343e7i 0.178631 0.223996i
\(657\) −329721. 483612.i −0.00116265 0.00170530i
\(658\) 8.80208e8 8.16713e8i 3.08964 2.86676i
\(659\) −1.05229e7 1.40418e8i −0.0367686 0.490643i −0.984941 0.172888i \(-0.944690\pi\)
0.948173 0.317755i \(-0.102929\pi\)
\(660\) 5.03031e7 1.28170e8i 0.174970 0.445815i
\(661\) −4.29887e7 + 1.88346e8i −0.148850 + 0.652155i 0.844355 + 0.535783i \(0.179984\pi\)
−0.993206 + 0.116372i \(0.962874\pi\)
\(662\) −6.62763e8 + 2.04435e8i −2.28446 + 0.704664i
\(663\) −1.03819e8 + 1.52274e8i −0.356235 + 0.522500i
\(664\) −8.04267e7 5.33596e8i −0.274724 1.82267i
\(665\) 9.52259e7 3.73734e7i 0.323810 0.127086i
\(666\) 8.24751e6 3.97179e6i 0.0279190 0.0134451i
\(667\) 1.36129e8 + 2.82675e8i 0.458746 + 0.952597i
\(668\) −2.11477e8 5.38835e8i −0.709470 1.80770i
\(669\) 6.96992e7 1.05055e7i 0.232782 0.0350863i
\(670\) 6.03805e7 + 4.11667e7i 0.200758 + 0.136874i
\(671\) −5.46875e7 1.77292e8i −0.181017 0.586844i
\(672\) −2.00727e9 4.58146e8i −6.61451 1.50972i
\(673\) −3.20323e8 1.25718e8i −1.05086 0.412431i −0.223850 0.974624i \(-0.571863\pi\)
−0.827006 + 0.562193i \(0.809958\pi\)
\(674\) 3.16367e8 2.37085e7i 1.03327 0.0774326i
\(675\) 1.95291e8 + 2.10474e8i 0.634996 + 0.684362i
\(676\) 4.62603e8 3.15397e8i 1.49750 1.02098i
\(677\) −1.68155e8 1.34099e8i −0.541929 0.432174i 0.313882 0.949462i \(-0.398370\pi\)
−0.855812 + 0.517288i \(0.826942\pi\)
\(678\) 2.27514e8 2.45202e8i 0.729993 0.786745i
\(679\) −4.27040e7 + 2.83322e8i −0.136414 + 0.905048i
\(680\) 6.56217e7 + 2.87507e8i 0.208699 + 0.914370i
\(681\) 2.24738e8 + 3.89258e8i 0.711599 + 1.23253i
\(682\) 2.23894e8 + 1.29265e8i 0.705811 + 0.407500i
\(683\) −1.34141e8 4.13771e7i −0.421018 0.129867i 0.0770052 0.997031i \(-0.475464\pi\)
−0.498023 + 0.867164i \(0.665940\pi\)
\(684\) −7.99136e6 + 6.37290e6i −0.0249719 + 0.0199145i
\(685\) −3.57948e6 + 4.77648e7i −0.0111365 + 0.148606i
\(686\) 2.70922e7 + 1.30469e7i 0.0839212 + 0.0404143i
\(687\) 4.43884e8i 1.36899i
\(688\) −4.29362e8 + 1.33542e9i −1.31843 + 4.10064i
\(689\) 3.16023e8 0.966186
\(690\) 6.55152e7 1.36044e8i 0.199432 0.414125i
\(691\) 3.01477e8 + 2.25926e7i 0.913735 + 0.0684750i 0.523293 0.852153i \(-0.324703\pi\)
0.390442 + 0.920628i \(0.372322\pi\)
\(692\) 4.28404e8 + 5.37202e8i 1.29281 + 1.62114i
\(693\) −1.03309e6 + 3.34919e6i −0.00310412 + 0.0100633i
\(694\) −5.55933e7 + 9.62903e7i −0.166320 + 0.288074i
\(695\) 1.89829e7 1.09598e7i 0.0565469 0.0326474i
\(696\) −1.35418e9 + 3.09084e8i −4.01652 + 0.916745i
\(697\) 2.31603e7 + 3.49085e6i 0.0683983 + 0.0103094i
\(698\) 4.85628e8 + 4.50597e8i 1.42803 + 1.32502i
\(699\) −1.46738e8 + 1.84003e8i −0.429645 + 0.538758i
\(700\) 7.26849e8 + 1.06609e9i 2.11909 + 3.10814i
\(701\) −6.86473e7 + 6.36954e7i −0.199283 + 0.184907i −0.773501 0.633795i \(-0.781496\pi\)
0.574219 + 0.818702i \(0.305306\pi\)
\(702\) −3.05325e7 4.07427e8i −0.0882573 1.17771i
\(703\) −1.80403e8 + 4.59660e8i −0.519253 + 1.32303i
\(704\) 2.69227e8 1.17956e9i 0.771616 3.38067i
\(705\) −1.27390e8 + 3.92947e7i −0.363554 + 0.112141i
\(706\) 7.32398e8 1.07423e9i 2.08129 3.05269i
\(707\) −7.55531e7 5.01262e8i −0.213793 1.41843i
\(708\) 1.59772e9 6.27059e8i 4.50195 1.76689i
\(709\) 3.81874e8 1.83901e8i 1.07147 0.515995i 0.186893 0.982380i \(-0.440158\pi\)
0.884582 + 0.466385i \(0.154444\pi\)
\(710\) −6.57427e7 1.36516e8i −0.183685 0.381425i
\(711\) 2.17407e6 + 5.53944e6i 0.00604873 + 0.0154119i
\(712\) −4.61658e8 + 6.95838e7i −1.27903 + 0.192783i
\(713\) 1.73527e8 + 1.18308e8i 0.478738 + 0.326398i
\(714\) −3.08979e8 1.00169e9i −0.848858 2.75193i
\(715\) 3.59206e7 + 8.19864e6i 0.0982710 + 0.0224297i
\(716\) −1.57004e9 6.16195e8i −4.27732 1.67872i
\(717\) −1.10044e7 + 824666.i −0.0298544 + 0.00223728i
\(718\) 2.01127e8 + 2.16764e8i 0.543373 + 0.585617i
\(719\) 3.74732e8 2.55488e8i 1.00817 0.687360i 0.0577520 0.998331i \(-0.481607\pi\)
0.950419 + 0.310971i \(0.100654\pi\)
\(720\) 3.46157e6 + 2.76051e6i 0.00927419 + 0.00739592i
\(721\) −1.74270e8 + 1.87819e8i −0.464962 + 0.501110i
\(722\) 764864. 5.07454e6i 0.00203223 0.0134830i
\(723\) −1.01748e8 4.45788e8i −0.269223 1.17954i
\(724\) −7.72522e7 1.33805e8i −0.203561 0.352578i
\(725\) 3.47994e8 + 2.00915e8i 0.913184 + 0.527227i
\(726\) 3.93881e8 + 1.21496e8i 1.02933 + 0.317507i
\(727\) 4.16831e7 3.32412e7i 0.108482 0.0865114i −0.567747 0.823203i \(-0.692185\pi\)
0.676228 + 0.736692i \(0.263613\pi\)
\(728\) 8.91914e7 1.19018e9i 0.231169 3.08473i
\(729\) 3.45079e8 + 1.66181e8i 0.890710 + 0.428943i
\(730\) 3.49972e7i 0.0899631i
\(731\) −3.97081e8 + 8.56807e7i −1.01655 + 0.219347i
\(732\) 1.02652e9 2.61719
\(733\) 5.96169e7 1.23796e8i 0.151376 0.314336i −0.811466 0.584399i \(-0.801330\pi\)
0.962843 + 0.270063i \(0.0870446\pi\)
\(734\) 9.24385e6 + 692731.i 0.0233757 + 0.00175177i
\(735\) 5.94620e7 + 7.45630e7i 0.149754 + 0.187785i
\(736\) 5.32336e8 1.72579e9i 1.33522 4.32867i
\(737\) 6.75315e7 1.16968e8i 0.168696 0.292190i
\(738\) 506555. 292460.i 0.00126025 0.000727607i
\(739\) −5.91655e8 + 1.35041e8i −1.46600 + 0.334606i −0.879717 0.475498i \(-0.842268\pi\)
−0.586287 + 0.810104i \(0.699411\pi\)
\(740\) 4.00916e8 + 6.04283e7i 0.989368 + 0.149123i
\(741\) −1.81997e8 1.68868e8i −0.447311 0.415044i
\(742\) −1.12071e9 + 1.40533e9i −2.74336 + 3.44007i
\(743\) 1.63029e8 + 2.39120e8i 0.397464 + 0.582973i 0.971847 0.235614i \(-0.0757101\pi\)
−0.574382 + 0.818587i \(0.694758\pi\)
\(744\) −6.81591e8 + 6.32424e8i −1.65503 + 1.53564i
\(745\) 3.18529e6 + 4.25047e7i 0.00770335 + 0.102794i
\(746\) −1.40650e8 + 3.58371e8i −0.338785 + 0.863211i
\(747\) 522069. 2.28733e6i 0.00125247 0.00548742i
\(748\) 8.01218e8 2.47143e8i 1.91446 0.590532i
\(749\) −2.68338e7 + 3.93579e7i −0.0638611 + 0.0936671i
\(750\) −5.95228e7 3.94908e8i −0.141091 0.936078i
\(751\) 7.61179e8 2.98741e8i 1.79708 0.705301i 0.803084 0.595866i \(-0.203191\pi\)
0.993994 0.109435i \(-0.0349040\pi\)
\(752\) −2.52575e9 + 1.21634e9i −5.93931 + 2.86022i
\