Properties

Label 43.7.h.a.29.3
Level 43
Weight 7
Character 43.29
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 29.3
Character \(\chi\) \(=\) 43.29
Dual form 43.7.h.a.3.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.20719 - 10.8128i) q^{2} +(3.59499 - 0.269407i) q^{3} +(-49.8995 + 62.5720i) q^{4} +(-53.9072 - 174.763i) q^{5} +(-21.6329 - 37.4692i) q^{6} +(85.2807 + 49.2368i) q^{7} +(187.588 + 42.8158i) q^{8} +(-708.006 + 106.715i) q^{9} +O(q^{10})\) \(q+(-5.20719 - 10.8128i) q^{2} +(3.59499 - 0.269407i) q^{3} +(-49.8995 + 62.5720i) q^{4} +(-53.9072 - 174.763i) q^{5} +(-21.6329 - 37.4692i) q^{6} +(85.2807 + 49.2368i) q^{7} +(187.588 + 42.8158i) q^{8} +(-708.006 + 106.715i) q^{9} +(-1608.98 + 1492.91i) q^{10} +(-88.2039 - 110.604i) q^{11} +(-162.531 + 238.389i) q^{12} +(46.5875 + 43.2269i) q^{13} +(88.3173 - 1178.51i) q^{14} +(-240.878 - 613.747i) q^{15} +(625.923 + 2742.35i) q^{16} +(4928.91 + 1520.37i) q^{17} +(4840.62 + 7099.88i) q^{18} +(-571.191 + 3789.61i) q^{19} +(13625.2 + 5347.49i) q^{20} +(319.848 + 154.031i) q^{21} +(-736.651 + 1529.67i) q^{22} +(629.593 - 1604.18i) q^{23} +(685.912 + 103.385i) q^{24} +(-14726.0 + 10040.0i) q^{25} +(224.815 - 728.834i) q^{26} +(-5078.73 + 1159.19i) q^{27} +(-7336.30 + 2879.29i) q^{28} +(-24051.4 - 1802.40i) q^{29} +(-5382.06 + 5800.48i) q^{30} +(-11116.2 - 7578.90i) q^{31} +(36021.1 - 28725.9i) q^{32} +(-346.890 - 373.858i) q^{33} +(-9226.28 - 61212.3i) q^{34} +(4007.52 - 17558.1i) q^{35} +(28651.8 - 49626.4i) q^{36} +(-67818.3 + 39154.9i) q^{37} +(43950.7 - 13557.0i) q^{38} +(179.127 + 142.849i) q^{39} +(-2629.74 - 35091.5i) q^{40} +(-59704.4 + 28752.1i) q^{41} -4260.53i q^{42} +(-73686.3 - 29861.3i) q^{43} +11322.0 q^{44} +(56816.4 + 117980. i) q^{45} +(-20624.1 + 1545.56i) q^{46} +(72726.1 - 91195.7i) q^{47} +(2989.00 + 9690.09i) q^{48} +(-53976.0 - 93489.1i) q^{49} +(185243. + 106950. i) q^{50} +(18129.0 + 4137.82i) q^{51} +(-5029.48 + 758.072i) q^{52} +(87858.9 - 81521.1i) q^{53} +(38980.0 + 48879.4i) q^{54} +(-14574.7 + 21377.1i) q^{55} +(13889.5 + 12887.6i) q^{56} +(-1032.48 + 13777.5i) q^{57} +(105751. + 269450. i) q^{58} +(-65129.3 - 285350. i) q^{59} +(50423.1 + 15553.5i) q^{60} +(105451. + 154668. i) q^{61} +(-24065.3 + 159663. i) q^{62} +(-65633.5 - 25759.3i) q^{63} +(-335981. - 161800. i) q^{64} +(5043.04 - 10472.0i) q^{65} +(-2236.15 + 5697.62i) q^{66} +(-98726.1 - 14880.6i) q^{67} +(-341082. + 232546. i) q^{68} +(1831.20 - 5936.62i) q^{69} +(-210721. + 48095.7i) q^{70} +(-470909. + 184818. i) q^{71} +(-137383. - 10295.4i) q^{72} +(-243892. + 262853. i) q^{73} +(776519. + 529422. i) q^{74} +(-50235.1 + 40061.2i) q^{75} +(-208621. - 224840. i) q^{76} +(-2076.29 - 13775.3i) q^{77} +(611.856 - 2680.72i) q^{78} +(383093. - 663537. i) q^{79} +(445519. - 257220. i) q^{80} +(480831. - 148317. i) q^{81} +(621784. + 495856. i) q^{82} +(17596.6 + 234811. i) q^{83} +(-25598.2 + 12327.5i) q^{84} -943348. i q^{85} +(60812.6 + 952252. i) q^{86} -86950.2 q^{87} +(-11810.4 - 24524.5i) q^{88} +(-425931. + 31919.1i) q^{89} +(979850. - 1.22869e6i) q^{90} +(1844.66 + 5980.23i) q^{91} +(68960.1 + 119442. i) q^{92} +(-42004.5 - 24251.3i) q^{93} +(-1.36478e6 - 311503. i) q^{94} +(693073. - 104464. i) q^{95} +(121756. - 112974. i) q^{96} +(-104598. - 131162. i) q^{97} +(-729820. + 1.07045e6i) q^{98} +(74252.0 + 68895.8i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.20719 10.8128i −0.650899 1.35161i −0.921298 0.388858i \(-0.872870\pi\)
0.270399 0.962748i \(-0.412844\pi\)
\(3\) 3.59499 0.269407i 0.133148 0.00997805i −0.00798947 0.999968i \(-0.502543\pi\)
0.141137 + 0.989990i \(0.454924\pi\)
\(4\) −49.8995 + 62.5720i −0.779679 + 0.977687i
\(5\) −53.9072 174.763i −0.431257 1.39810i −0.867125 0.498091i \(-0.834035\pi\)
0.435868 0.900011i \(-0.356442\pi\)
\(6\) −21.6329 37.4692i −0.100152 0.173469i
\(7\) 85.2807 + 49.2368i 0.248632 + 0.143548i 0.619138 0.785283i \(-0.287482\pi\)
−0.370506 + 0.928830i \(0.620816\pi\)
\(8\) 187.588 + 42.8158i 0.366383 + 0.0836245i
\(9\) −708.006 + 106.715i −0.971202 + 0.146385i
\(10\) −1608.98 + 1492.91i −1.60898 + 1.49291i
\(11\) −88.2039 110.604i −0.0662689 0.0830985i 0.747592 0.664158i \(-0.231210\pi\)
−0.813861 + 0.581059i \(0.802638\pi\)
\(12\) −162.531 + 238.389i −0.0940572 + 0.137957i
\(13\) 46.5875 + 43.2269i 0.0212050 + 0.0196754i 0.690704 0.723137i \(-0.257301\pi\)
−0.669499 + 0.742813i \(0.733491\pi\)
\(14\) 88.3173 1178.51i 0.0321856 0.429487i
\(15\) −240.878 613.747i −0.0713713 0.181851i
\(16\) 625.923 + 2742.35i 0.152813 + 0.669519i
\(17\) 4928.91 + 1520.37i 1.00324 + 0.309458i 0.752496 0.658596i \(-0.228850\pi\)
0.250741 + 0.968054i \(0.419326\pi\)
\(18\) 4840.62 + 7099.88i 0.830010 + 1.21740i
\(19\) −571.191 + 3789.61i −0.0832762 + 0.552501i 0.907821 + 0.419359i \(0.137745\pi\)
−0.991097 + 0.133143i \(0.957493\pi\)
\(20\) 13625.2 + 5347.49i 1.70315 + 0.668436i
\(21\) 319.848 + 154.031i 0.0345371 + 0.0166322i
\(22\) −736.651 + 1529.67i −0.0691821 + 0.143658i
\(23\) 629.593 1604.18i 0.0517459 0.131846i −0.902664 0.430347i \(-0.858391\pi\)
0.954409 + 0.298500i \(0.0964864\pi\)
\(24\) 685.912 + 103.385i 0.0496175 + 0.00747864i
\(25\) −14726.0 + 10040.0i −0.942467 + 0.642563i
\(26\) 224.815 728.834i 0.0127910 0.0414676i
\(27\) −5078.73 + 1159.19i −0.258026 + 0.0588928i
\(28\) −7336.30 + 2879.29i −0.334198 + 0.131163i
\(29\) −24051.4 1802.40i −0.986158 0.0739024i −0.428124 0.903720i \(-0.640825\pi\)
−0.558035 + 0.829818i \(0.688444\pi\)
\(30\) −5382.06 + 5800.48i −0.199335 + 0.214833i
\(31\) −11116.2 7578.90i −0.373140 0.254402i 0.362201 0.932100i \(-0.382025\pi\)
−0.735341 + 0.677698i \(0.762978\pi\)
\(32\) 36021.1 28725.9i 1.09928 0.876644i
\(33\) −346.890 373.858i −0.00965272 0.0104032i
\(34\) −9226.28 61212.3i −0.234741 1.55741i
\(35\) 4007.52 17558.1i 0.0934699 0.409518i
\(36\) 28651.8 49626.4i 0.614107 1.06367i
\(37\) −67818.3 + 39154.9i −1.33888 + 0.773003i −0.986641 0.162908i \(-0.947913\pi\)
−0.352238 + 0.935910i \(0.614579\pi\)
\(38\) 43950.7 13557.0i 0.800969 0.247066i
\(39\) 179.127 + 142.849i 0.00301973 + 0.00240815i
\(40\) −2629.74 35091.5i −0.0410897 0.548304i
\(41\) −59704.4 + 28752.1i −0.866272 + 0.417175i −0.813592 0.581437i \(-0.802491\pi\)
−0.0526807 + 0.998611i \(0.516777\pi\)
\(42\) 4260.53i 0.0575064i
\(43\) −73686.3 29861.3i −0.926790 0.375581i
\(44\) 11322.0 0.132913
\(45\) 56816.4 + 117980.i 0.623499 + 1.29471i
\(46\) −20624.1 + 1545.56i −0.211886 + 0.0158787i
\(47\) 72726.1 91195.7i 0.700482 0.878376i −0.296578 0.955009i \(-0.595845\pi\)
0.997059 + 0.0766323i \(0.0244168\pi\)
\(48\) 2989.00 + 9690.09i 0.0270273 + 0.0876202i
\(49\) −53976.0 93489.1i −0.458788 0.794644i
\(50\) 185243. + 106950.i 1.48194 + 0.855600i
\(51\) 18129.0 + 4137.82i 0.136667 + 0.0311933i
\(52\) −5029.48 + 758.072i −0.0357695 + 0.00539139i
\(53\) 87858.9 81521.1i 0.590144 0.547574i −0.327564 0.944829i \(-0.606228\pi\)
0.917708 + 0.397255i \(0.130037\pi\)
\(54\) 38980.0 + 48879.4i 0.247549 + 0.310417i
\(55\) −14574.7 + 21377.1i −0.0876013 + 0.128487i
\(56\) 13889.5 + 12887.6i 0.0790903 + 0.0733851i
\(57\) −1032.48 + 13777.5i −0.00557515 + 0.0743953i
\(58\) 105751. + 269450.i 0.542003 + 1.38100i
\(59\) −65129.3 285350.i −0.317117 1.38938i −0.842583 0.538567i \(-0.818966\pi\)
0.525465 0.850815i \(-0.323891\pi\)
\(60\) 50423.1 + 15553.5i 0.233440 + 0.0720067i
\(61\) 105451. + 154668.i 0.464580 + 0.681414i 0.985011 0.172490i \(-0.0551811\pi\)
−0.520431 + 0.853904i \(0.674229\pi\)
\(62\) −24065.3 + 159663.i −0.100975 + 0.669928i
\(63\) −65633.5 25759.3i −0.262485 0.103018i
\(64\) −335981. 161800.i −1.28167 0.617218i
\(65\) 5043.04 10472.0i 0.0183634 0.0381320i
\(66\) −2236.15 + 5697.62i −0.00777802 + 0.0198181i
\(67\) −98726.1 14880.6i −0.328252 0.0494761i −0.0171512 0.999853i \(-0.505460\pi\)
−0.311101 + 0.950377i \(0.600698\pi\)
\(68\) −341082. + 232546.i −1.08476 + 0.739574i
\(69\) 1831.20 5936.62i 0.00557429 0.0180714i
\(70\) −210721. + 48095.7i −0.614347 + 0.140221i
\(71\) −470909. + 184818.i −1.31571 + 0.516380i −0.916337 0.400407i \(-0.868869\pi\)
−0.399377 + 0.916787i \(0.630774\pi\)
\(72\) −137383. 10295.4i −0.368073 0.0275833i
\(73\) −243892. + 262853.i −0.626944 + 0.675685i −0.964031 0.265788i \(-0.914368\pi\)
0.337087 + 0.941473i \(0.390558\pi\)
\(74\) 776519. + 529422.i 1.91627 + 1.30649i
\(75\) −50235.1 + 40061.2i −0.119076 + 0.0949598i
\(76\) −208621. 224840.i −0.475245 0.512192i
\(77\) −2076.29 13775.3i −0.00454795 0.0301737i
\(78\) 611.856 2680.72i 0.00128933 0.00564894i
\(79\) 383093. 663537.i 0.777004 1.34581i −0.156657 0.987653i \(-0.550072\pi\)
0.933661 0.358157i \(-0.116595\pi\)
\(80\) 445519. 257220.i 0.870154 0.502384i
\(81\) 480831. 148317.i 0.904769 0.279084i
\(82\) 621784. + 495856.i 1.12771 + 0.899320i
\(83\) 17596.6 + 234811.i 0.0307748 + 0.410661i 0.991223 + 0.132202i \(0.0422046\pi\)
−0.960448 + 0.278459i \(0.910176\pi\)
\(84\) −25598.2 + 12327.5i −0.0431889 + 0.0207987i
\(85\) 943348.i 1.53608i
\(86\) 60812.6 + 952252.i 0.0956089 + 1.49712i
\(87\) −86950.2 −0.132042
\(88\) −11810.4 24524.5i −0.0173307 0.0359876i
\(89\) −425931. + 31919.1i −0.604183 + 0.0452773i −0.373310 0.927707i \(-0.621777\pi\)
−0.230873 + 0.972984i \(0.574158\pi\)
\(90\) 979850. 1.22869e6i 1.34410 1.68545i
\(91\) 1844.66 + 5980.23i 0.00244789 + 0.00793586i
\(92\) 68960.1 + 119442.i 0.0885594 + 0.153389i
\(93\) −42004.5 24251.3i −0.0522212 0.0301499i
\(94\) −1.36478e6 311503.i −1.64316 0.375041i
\(95\) 693073. 104464.i 0.808367 0.121842i
\(96\) 121756. 112974.i 0.137619 0.127692i
\(97\) −104598. 131162.i −0.114607 0.143712i 0.721219 0.692707i \(-0.243582\pi\)
−0.835826 + 0.548995i \(0.815011\pi\)
\(98\) −729820. + 1.07045e6i −0.775421 + 1.13733i
\(99\) 74252.0 + 68895.8i 0.0765249 + 0.0710047i
\(100\) 106596. 1.42243e6i 0.106596 1.42243i
\(101\) 187245. + 477091.i 0.181738 + 0.463060i 0.992489 0.122330i \(-0.0390366\pi\)
−0.810752 + 0.585390i \(0.800941\pi\)
\(102\) −49659.4 217572.i −0.0467952 0.205023i
\(103\) −180612. 55711.5i −0.165286 0.0509839i 0.211008 0.977484i \(-0.432325\pi\)
−0.376294 + 0.926500i \(0.622802\pi\)
\(104\) 6888.46 + 10103.5i 0.00612382 + 0.00898199i
\(105\) 9676.72 64200.8i 0.00835911 0.0554591i
\(106\) −1.33897e6 525508.i −1.12423 0.441227i
\(107\) −344123. 165721.i −0.280907 0.135278i 0.288126 0.957593i \(-0.406968\pi\)
−0.569033 + 0.822315i \(0.692682\pi\)
\(108\) 180893. 375629.i 0.143599 0.298186i
\(109\) 216802. 552402.i 0.167411 0.426556i −0.822406 0.568901i \(-0.807369\pi\)
0.989817 + 0.142345i \(0.0454642\pi\)
\(110\) 307040. + 46278.9i 0.230684 + 0.0347700i
\(111\) −233257. + 159032.i −0.170556 + 0.116283i
\(112\) −81645.4 + 264688.i −0.0581136 + 0.188400i
\(113\) −323464. + 73828.5i −0.224177 + 0.0511669i −0.333134 0.942880i \(-0.608106\pi\)
0.108957 + 0.994046i \(0.465249\pi\)
\(114\) 154350. 60578.0i 0.104182 0.0408884i
\(115\) −314290. 23552.8i −0.206651 0.0154863i
\(116\) 1.31293e6 1.41501e6i 0.841141 0.906534i
\(117\) −37597.2 25633.3i −0.0234746 0.0160047i
\(118\) −2.74630e6 + 2.19011e6i −1.67149 + 1.33297i
\(119\) 345482. + 372341.i 0.205015 + 0.220953i
\(120\) −18907.8 125445.i −0.0109420 0.0725955i
\(121\) 389756. 1.70763e6i 0.220007 0.963914i
\(122\) 1.12330e6 1.94561e6i 0.618608 1.07146i
\(123\) −206891. + 119448.i −0.111180 + 0.0641896i
\(124\) 1.02892e6 317380.i 0.539655 0.166462i
\(125\) 314285. + 250634.i 0.160914 + 0.128325i
\(126\) 63235.5 + 843819.i 0.0316118 + 0.421830i
\(127\) −3.34886e6 + 1.61273e6i −1.63488 + 0.787318i −0.634991 + 0.772519i \(0.718996\pi\)
−0.999891 + 0.0147982i \(0.995289\pi\)
\(128\) 1.52678e6i 0.728027i
\(129\) −272946. 87499.6i −0.127148 0.0407602i
\(130\) −139492. −0.0634921
\(131\) 1.82300e6 + 3.78551e6i 0.810912 + 1.68388i 0.726214 + 0.687469i \(0.241278\pi\)
0.0846976 + 0.996407i \(0.473008\pi\)
\(132\) 40702.6 3050.24i 0.0176970 0.00132621i
\(133\) −235300. + 295056.i −0.100015 + 0.125415i
\(134\) 353185. + 1.14500e6i 0.146787 + 0.475872i
\(135\) 476363. + 825084.i 0.193614 + 0.335349i
\(136\) 859508. + 496237.i 0.341691 + 0.197275i
\(137\) −1.66067e6 379038.i −0.645837 0.147408i −0.112958 0.993600i \(-0.536033\pi\)
−0.532878 + 0.846192i \(0.678890\pi\)
\(138\) −73727.2 + 11112.6i −0.0280537 + 0.00422842i
\(139\) 1.30213e6 1.20820e6i 0.484852 0.449877i −0.399476 0.916744i \(-0.630808\pi\)
0.884327 + 0.466867i \(0.154617\pi\)
\(140\) 898671. + 1.12690e6i 0.327504 + 0.410677i
\(141\) 236881. 347441.i 0.0845031 0.123943i
\(142\) 4.45052e6 + 4.12948e6i 1.55434 + 1.44222i
\(143\) 671.875 8965.54i 0.000229763 0.00306597i
\(144\) −735807. 1.87481e6i −0.246420 0.627869i
\(145\) 981550. + 4.30045e6i 0.321965 + 1.41062i
\(146\) 4.11218e6 + 1.26844e6i 1.32134 + 0.407579i
\(147\) −219230. 321551.i −0.0690156 0.101227i
\(148\) 934097. 6.19733e6i 0.288142 1.91170i
\(149\) 2.36146e6 + 926803.i 0.713873 + 0.280175i 0.694353 0.719635i \(-0.255691\pi\)
0.0195206 + 0.999809i \(0.493786\pi\)
\(150\) 694760. + 334579.i 0.205855 + 0.0991344i
\(151\) −697881. + 1.44917e6i −0.202699 + 0.420908i −0.977394 0.211427i \(-0.932189\pi\)
0.774695 + 0.632335i \(0.217903\pi\)
\(152\) −269404. + 686429.i −0.0767136 + 0.195463i
\(153\) −3.65194e6 550442.i −1.01965 0.153687i
\(154\) −138138. + 94181.1i −0.0378226 + 0.0257870i
\(155\) −725266. + 2.35126e6i −0.194761 + 0.631400i
\(156\) −17876.7 + 4080.24i −0.00470884 + 0.00107476i
\(157\) 5.49529e6 2.15674e6i 1.42001 0.557313i 0.473734 0.880668i \(-0.342906\pi\)
0.946278 + 0.323355i \(0.104811\pi\)
\(158\) −9.16956e6 687164.i −2.32476 0.174216i
\(159\) 293889. 316737.i 0.0731127 0.0787967i
\(160\) −6.96200e6 4.74661e6i −1.69971 1.15884i
\(161\) 132677. 105806.i 0.0317919 0.0253532i
\(162\) −4.10751e6 4.42684e6i −0.966125 1.04124i
\(163\) 630112. + 4.18052e6i 0.145497 + 0.965312i 0.935784 + 0.352574i \(0.114694\pi\)
−0.790286 + 0.612738i \(0.790068\pi\)
\(164\) 1.18014e6 5.17053e6i 0.267548 1.17221i
\(165\) −46636.6 + 80777.0i −0.0103819 + 0.0179819i
\(166\) 2.44734e6 1.41297e6i 0.535020 0.308894i
\(167\) 752720. 232183.i 0.161616 0.0498519i −0.212891 0.977076i \(-0.568288\pi\)
0.374507 + 0.927224i \(0.377812\pi\)
\(168\) 53404.7 + 42588.8i 0.0112629 + 0.00898190i
\(169\) −360406. 4.80928e6i −0.0746676 0.996369i
\(170\) −1.02003e7 + 4.91219e6i −2.07618 + 0.999836i
\(171\) 2.74402e6i 0.548781i
\(172\) 5.54539e6 3.12063e6i 1.08980 0.613277i
\(173\) 214668. 0.0414599 0.0207299 0.999785i \(-0.493401\pi\)
0.0207299 + 0.999785i \(0.493401\pi\)
\(174\) 452766. + 940179.i 0.0859462 + 0.178469i
\(175\) −1.75019e6 + 131158.i −0.326565 + 0.0244727i
\(176\) 248106. 311116.i 0.0455093 0.0570668i
\(177\) −311014. 1.00828e6i −0.0560868 0.181829i
\(178\) 2.56304e6 + 4.43931e6i 0.454460 + 0.787147i
\(179\) −8.24901e6 4.76257e6i −1.43828 0.830390i −0.440547 0.897729i \(-0.645216\pi\)
−0.997730 + 0.0673395i \(0.978549\pi\)
\(180\) −1.02174e7 2.33205e6i −1.75195 0.399871i
\(181\) 1.03521e7 1.56033e6i 1.74579 0.263136i 0.802872 0.596152i \(-0.203304\pi\)
0.942921 + 0.333016i \(0.108066\pi\)
\(182\) 55057.9 51086.2i 0.00913283 0.00847402i
\(183\) 420764. + 527621.i 0.0686570 + 0.0860932i
\(184\) 186788. 273968.i 0.0299844 0.0439791i
\(185\) 1.04987e7 + 9.74138e6i 1.65814 + 1.53853i
\(186\) −43500.1 + 580469.i −0.00676008 + 0.0902070i
\(187\) −266590. 679260.i −0.0407679 0.103875i
\(188\) 2.07730e6 + 9.10123e6i 0.312626 + 1.36970i
\(189\) −490192. 151204.i −0.0726074 0.0223964i
\(190\) −4.73852e6 6.95013e6i −0.690847 1.01329i
\(191\) 1.96382e6 1.30291e7i 0.281840 1.86989i −0.181056 0.983473i \(-0.557951\pi\)
0.462895 0.886413i \(-0.346811\pi\)
\(192\) −1.25144e6 491154.i −0.176810 0.0693927i
\(193\) −6.74335e6 3.24743e6i −0.938003 0.451718i −0.0985384 0.995133i \(-0.531417\pi\)
−0.839464 + 0.543415i \(0.817131\pi\)
\(194\) −873574. + 1.81399e6i −0.119645 + 0.248445i
\(195\) 15308.5 39005.3i 0.00206456 0.00526042i
\(196\) 8.54317e6 + 1.28768e6i 1.13462 + 0.171017i
\(197\) 7.27506e6 4.96005e6i 0.951564 0.648765i 0.0152331 0.999884i \(-0.495151\pi\)
0.936331 + 0.351119i \(0.114199\pi\)
\(198\) 358315. 1.16163e6i 0.0461604 0.149648i
\(199\) 5.32564e6 1.21554e6i 0.675792 0.154245i 0.129167 0.991623i \(-0.458770\pi\)
0.546625 + 0.837378i \(0.315913\pi\)
\(200\) −3.19230e6 + 1.25289e6i −0.399038 + 0.156611i
\(201\) −358928. 26898.0i −0.0441997 0.00331231i
\(202\) 4.18370e6 4.50895e6i 0.507582 0.547043i
\(203\) −1.96238e6 1.33793e6i −0.234582 0.159935i
\(204\) −1.16354e6 + 927890.i −0.137053 + 0.109296i
\(205\) 8.24329e6 + 8.88415e6i 0.956839 + 1.03123i
\(206\) 338083. + 2.24303e6i 0.0386742 + 0.256587i
\(207\) −274566. + 1.20295e6i −0.0309554 + 0.135624i
\(208\) −89383.0 + 154816.i −0.00993264 + 0.0172038i
\(209\) 469527. 271082.i 0.0514307 0.0296935i
\(210\) −744583. + 229673.i −0.0803998 + 0.0248001i
\(211\) 8.29779e6 + 6.61727e6i 0.883314 + 0.704419i 0.956135 0.292926i \(-0.0946288\pi\)
−0.0728212 + 0.997345i \(0.523200\pi\)
\(212\) 716825. + 9.56536e6i 0.0752325 + 1.00391i
\(213\) −1.64312e6 + 791285.i −0.170032 + 0.0818831i
\(214\) 4.58389e6i 0.467727i
\(215\) −1.24643e6 + 1.44873e7i −0.125416 + 1.45772i
\(216\) −1.00234e6 −0.0994613
\(217\) −574837. 1.19366e6i −0.0562555 0.116816i
\(218\) −7.10197e6 + 532219.i −0.685503 + 0.0513713i
\(219\) −805975. + 1.01066e6i −0.0767342 + 0.0962217i
\(220\) −610339. 1.97867e6i −0.0573196 0.185826i
\(221\) 163905. + 283891.i 0.0151850 + 0.0263012i
\(222\) 2.93421e6 + 1.69407e6i 0.268183 + 0.154836i
\(223\) −1.47004e7 3.35527e6i −1.32561 0.302561i −0.499618 0.866246i \(-0.666526\pi\)
−0.825990 + 0.563685i \(0.809383\pi\)
\(224\) 4.48627e6 676197.i 0.399155 0.0601629i
\(225\) 9.35471e6 8.67990e6i 0.821264 0.762022i
\(226\) 2.48264e6 + 3.11313e6i 0.215074 + 0.269694i
\(227\) −4.17613e6 + 6.12526e6i −0.357023 + 0.523657i −0.962167 0.272459i \(-0.912163\pi\)
0.605144 + 0.796116i \(0.293115\pi\)
\(228\) −810564. 752093.i −0.0683884 0.0634552i
\(229\) −1.12198e6 + 1.49717e7i −0.0934280 + 1.24671i 0.731646 + 0.681685i \(0.238753\pi\)
−0.825074 + 0.565025i \(0.808866\pi\)
\(230\) 1.38190e6 + 3.52101e6i 0.113577 + 0.289390i
\(231\) −11175.4 48962.6i −0.000906623 0.00397218i
\(232\) −4.43459e6 1.36789e6i −0.355132 0.109544i
\(233\) −7.16824e6 1.05139e7i −0.566689 0.831180i 0.430767 0.902463i \(-0.358243\pi\)
−0.997456 + 0.0712833i \(0.977291\pi\)
\(234\) −81393.4 + 540010.i −0.00635246 + 0.0421458i
\(235\) −1.98581e7 7.79372e6i −1.53015 0.600539i
\(236\) 2.11048e7 + 1.01635e7i 1.60563 + 0.773231i
\(237\) 1.19845e6 2.48862e6i 0.0900278 0.186945i
\(238\) 2.22708e6 5.67450e6i 0.165198 0.420917i
\(239\) −1.81883e7 2.74144e6i −1.33229 0.200810i −0.555996 0.831185i \(-0.687663\pi\)
−0.776291 + 0.630375i \(0.782901\pi\)
\(240\) 1.53234e6 1.04473e6i 0.110846 0.0755737i
\(241\) 561046. 1.81887e6i 0.0400818 0.129942i −0.933321 0.359044i \(-0.883103\pi\)
0.973402 + 0.229102i \(0.0735790\pi\)
\(242\) −2.04939e7 + 4.67760e6i −1.44603 + 0.330048i
\(243\) 5.22372e6 2.05016e6i 0.364050 0.142879i
\(244\) −1.49398e7 1.11959e6i −1.02843 0.0770704i
\(245\) −1.34287e7 + 1.44727e7i −0.913138 + 0.984129i
\(246\) 2.36890e6 + 1.61509e6i 0.159126 + 0.108490i
\(247\) −190423. + 151857.i −0.0126366 + 0.0100773i
\(248\) −1.76077e6 1.89766e6i −0.115438 0.124412i
\(249\) 126519. + 839401.i 0.00819519 + 0.0543715i
\(250\) 1.07353e6 4.70342e6i 0.0687056 0.301019i
\(251\) 8.22063e6 1.42386e7i 0.519857 0.900419i −0.479876 0.877336i \(-0.659318\pi\)
0.999734 0.0230831i \(-0.00734824\pi\)
\(252\) 4.88689e6 2.82145e6i 0.305373 0.176307i
\(253\) −232961. + 71859.0i −0.0143854 + 0.00443731i
\(254\) 3.48764e7 + 2.78130e7i 2.12829 + 1.69725i
\(255\) −254145. 3.39133e6i −0.0153271 0.204526i
\(256\) −4.99391e6 + 2.40494e6i −0.297660 + 0.143346i
\(257\) 2.46208e7i 1.45045i −0.688512 0.725225i \(-0.741736\pi\)
0.688512 0.725225i \(-0.258264\pi\)
\(258\) 475164. + 3.40695e6i 0.0276684 + 0.198384i
\(259\) −7.71145e6 −0.443850
\(260\) 403608. + 838100.i 0.0229636 + 0.0476843i
\(261\) 1.72209e7 1.29053e6i 0.968577 0.0725848i
\(262\) 3.14394e7 3.94237e7i 1.74811 2.19207i
\(263\) 678847. + 2.20077e6i 0.0373168 + 0.120978i 0.972315 0.233675i \(-0.0750752\pi\)
−0.934998 + 0.354653i \(0.884599\pi\)
\(264\) −49065.4 84983.7i −0.00266663 0.00461874i
\(265\) −1.89831e7 1.09599e7i −1.02007 0.588936i
\(266\) 4.41565e6 + 1.00784e6i 0.234612 + 0.0535486i
\(267\) −1.52262e6 + 229498.i −0.0799939 + 0.0120571i
\(268\) 5.85749e6 5.43496e6i 0.304304 0.282352i
\(269\) 1.05495e7 + 1.32287e7i 0.541970 + 0.679609i 0.975111 0.221717i \(-0.0711662\pi\)
−0.433141 + 0.901326i \(0.642595\pi\)
\(270\) 6.44100e6 9.44721e6i 0.327237 0.479968i
\(271\) 7.06941e6 + 6.55945e6i 0.355202 + 0.329579i 0.837509 0.546423i \(-0.184011\pi\)
−0.482308 + 0.876002i \(0.660201\pi\)
\(272\) −1.08426e6 + 1.44684e7i −0.0538798 + 0.718976i
\(273\) 8242.64 + 21001.9i 0.000405115 + 0.00103222i
\(274\) 4.54897e6 + 1.99303e7i 0.221137 + 0.968864i
\(275\) 2.40937e6 + 743191.i 0.115852 + 0.0357357i
\(276\) 280090. + 410816.i 0.0133220 + 0.0195398i
\(277\) −5.63904e6 + 3.74126e7i −0.265318 + 1.76027i 0.318064 + 0.948069i \(0.396967\pi\)
−0.583381 + 0.812198i \(0.698271\pi\)
\(278\) −1.98445e7 7.78838e6i −0.923646 0.362504i
\(279\) 8.67913e6 + 4.17965e6i 0.399635 + 0.192454i
\(280\) 1.50353e6 3.12211e6i 0.0684916 0.142224i
\(281\) 1.00978e7 2.57288e7i 0.455102 1.15958i −0.500714 0.865613i \(-0.666929\pi\)
0.955816 0.293967i \(-0.0949757\pi\)
\(282\) −4.99031e6 752168.i −0.222526 0.0335403i
\(283\) −3.24835e7 + 2.21469e7i −1.43319 + 0.977132i −0.436179 + 0.899860i \(0.643669\pi\)
−0.997010 + 0.0772718i \(0.975379\pi\)
\(284\) 1.19337e7 3.86880e7i 0.520977 1.68897i
\(285\) 2.46345e6 562266.i 0.106416 0.0242889i
\(286\) −100442. + 39420.4i −0.00429354 + 0.00168509i
\(287\) −6.50729e6 487654.i −0.275267 0.0206284i
\(288\) −2.24377e7 + 2.41821e7i −0.939292 + 1.01232i
\(289\) 2.03920e6 + 1.39030e6i 0.0844824 + 0.0575991i
\(290\) 4.13890e7 3.30066e7i 1.69704 1.35334i
\(291\) −411367. 443348.i −0.0166936 0.0179914i
\(292\) −4.27715e6 2.83770e7i −0.171793 1.13977i
\(293\) 7.96038e6 3.48767e7i 0.316469 1.38654i −0.527230 0.849723i \(-0.676769\pi\)
0.843698 0.536817i \(-0.180374\pi\)
\(294\) −2.33531e6 + 4.04488e6i −0.0918973 + 0.159171i
\(295\) −4.63576e7 + 2.67646e7i −1.80574 + 1.04254i
\(296\) −1.43983e7 + 4.44130e6i −0.555185 + 0.171252i
\(297\) 576175. + 459484.i 0.0219930 + 0.0175388i
\(298\) −2.27518e6 3.03601e7i −0.0859738 1.14724i
\(299\) 98674.6 47519.2i 0.00369141 0.00177769i
\(300\) 5.14234e6i 0.190457i
\(301\) −4.81374e6 6.17467e6i −0.176515 0.226420i
\(302\) 1.93036e7 0.700838
\(303\) 801674. + 1.66469e6i 0.0288184 + 0.0598420i
\(304\) −1.07499e7 + 805597.i −0.382636 + 0.0286746i
\(305\) 2.13456e7 2.67666e7i 0.752333 0.943395i
\(306\) 1.30645e7 + 4.23541e7i 0.455963 + 1.47819i
\(307\) −2.28711e7 3.96139e7i −0.790446 1.36909i −0.925691 0.378280i \(-0.876516\pi\)
0.135245 0.990812i \(-0.456818\pi\)
\(308\) 965551. + 557461.i 0.0330463 + 0.0190793i
\(309\) −664308. 151624.i −0.0225162 0.00513917i
\(310\) 2.92004e7 4.40125e6i 0.980174 0.147738i
\(311\) −7.91300e6 + 7.34219e6i −0.263063 + 0.244087i −0.800666 0.599111i \(-0.795521\pi\)
0.537602 + 0.843198i \(0.319330\pi\)
\(312\) 27485.9 + 34466.3i 0.000904996 + 0.00113483i
\(313\) −5.19620e6 + 7.62143e6i −0.169455 + 0.248544i −0.901567 0.432640i \(-0.857582\pi\)
0.732112 + 0.681184i \(0.238535\pi\)
\(314\) −5.19356e7 4.81892e7i −1.67755 1.55654i
\(315\) −963642. + 1.28589e7i −0.0308307 + 0.411408i
\(316\) 2.24027e7 + 5.70810e7i 0.709967 + 1.80897i
\(317\) −2.09074e6 9.16013e6i −0.0656330 0.287557i 0.931451 0.363866i \(-0.118543\pi\)
−0.997084 + 0.0763093i \(0.975686\pi\)
\(318\) −4.95517e6 1.52847e6i −0.154091 0.0475308i
\(319\) 1.92207e6 + 2.81917e6i 0.0592104 + 0.0868457i
\(320\) −1.01648e7 + 6.74391e7i −0.310206 + 2.05808i
\(321\) −1.28176e6 503056.i −0.0387519 0.0152090i
\(322\) −1.83494e6 883659.i −0.0549609 0.0264678i
\(323\) −8.57694e6 + 1.78102e7i −0.254522 + 0.528520i
\(324\) −1.47128e7 + 3.74875e7i −0.432573 + 1.10218i
\(325\) −1.12005e6 168820.i −0.0326277 0.00491784i
\(326\) 4.19222e7 2.85821e7i 1.21002 0.824976i
\(327\) 630579. 2.04429e6i 0.0180342 0.0584654i
\(328\) −1.24309e7 + 2.83727e6i −0.352274 + 0.0804041i
\(329\) 1.06923e7 4.19642e6i 0.300251 0.117840i
\(330\) 1.11628e6 + 83653.3i 0.0310620 + 0.00232778i
\(331\) −2.78404e7 + 3.00048e7i −0.767699 + 0.827382i −0.989014 0.147820i \(-0.952774\pi\)
0.221316 + 0.975202i \(0.428965\pi\)
\(332\) −1.55706e7 1.06159e7i −0.425492 0.290096i
\(333\) 4.38374e7 3.49591e7i 1.18717 0.946734i
\(334\) −6.43012e6 6.93002e6i −0.172576 0.185992i
\(335\) 2.72148e6 + 1.80558e7i 0.0723886 + 0.480267i
\(336\) −222206. + 973546.i −0.00585783 + 0.0256649i
\(337\) −8.41258e6 + 1.45710e7i −0.219806 + 0.380715i −0.954749 0.297414i \(-0.903876\pi\)
0.734943 + 0.678129i \(0.237209\pi\)
\(338\) −5.01254e7 + 2.89399e7i −1.29810 + 0.749457i
\(339\) −1.14296e6 + 352556.i −0.0293381 + 0.00904960i
\(340\) 5.90271e7 + 4.70725e7i 1.50181 + 1.19765i
\(341\) 142234. + 1.89799e6i 0.00358709 + 0.0478663i
\(342\) −2.96707e7 + 1.42886e7i −0.741735 + 0.357201i
\(343\) 2.22157e7i 0.550527i
\(344\) −1.25441e7 8.75656e6i −0.308152 0.215109i
\(345\) −1.13621e6 −0.0276696
\(346\) −1.11782e6 2.32117e6i −0.0269862 0.0560374i
\(347\) 3.43583e7 2.57480e6i 0.822324 0.0616246i 0.343080 0.939306i \(-0.388530\pi\)
0.479244 + 0.877682i \(0.340911\pi\)
\(348\) 4.33877e6 5.44064e6i 0.102951 0.129096i
\(349\) −3.01590e6 9.77732e6i −0.0709481 0.230008i 0.913153 0.407617i \(-0.133640\pi\)
−0.984101 + 0.177609i \(0.943164\pi\)
\(350\) 1.05318e7 + 1.82415e7i 0.245639 + 0.425459i
\(351\) −286713. 165534.i −0.00663020 0.00382795i
\(352\) −6.35440e6 1.45035e6i −0.145696 0.0332541i
\(353\) 5.84148e6 880461.i 0.132800 0.0200164i −0.0823058 0.996607i \(-0.526228\pi\)
0.215106 + 0.976591i \(0.430990\pi\)
\(354\) −9.28291e6 + 8.61328e6i −0.209254 + 0.194160i
\(355\) 5.76846e7 + 7.23343e7i 1.28936 + 1.61681i
\(356\) 1.92565e7 2.82441e7i 0.426802 0.626004i
\(357\) 1.34232e6 + 1.24549e6i 0.0295019 + 0.0273738i
\(358\) −8.54274e6 + 1.13995e8i −0.186186 + 2.48448i
\(359\) 8.89240e6 + 2.26575e7i 0.192192 + 0.489698i 0.994191 0.107627i \(-0.0343254\pi\)
−0.801999 + 0.597325i \(0.796230\pi\)
\(360\) 5.60666e6 + 2.45644e7i 0.120170 + 0.526500i
\(361\) 3.09209e7 + 9.53784e6i 0.657250 + 0.202735i
\(362\) −7.07770e7 1.03811e8i −1.49199 2.18835i
\(363\) 941121. 6.24393e6i 0.0196755 0.130538i
\(364\) −466242. 182987.i −0.00966735 0.00379416i
\(365\) 5.90845e7 + 2.84536e7i 1.21505 + 0.585138i
\(366\) 3.51409e6 7.29708e6i 0.0716753 0.148835i
\(367\) 7.54500e6 1.92243e7i 0.152637 0.388914i −0.834018 0.551738i \(-0.813965\pi\)
0.986655 + 0.162824i \(0.0520602\pi\)
\(368\) 4.79329e6 + 722472.i 0.0961812 + 0.0144970i
\(369\) 3.92028e7 2.67280e7i 0.780257 0.531970i
\(370\) 5.06632e7 1.64246e8i 1.00020 3.24258i
\(371\) 1.15065e7 2.62628e6i 0.225331 0.0514304i
\(372\) 3.61345e6 1.41818e6i 0.0701930 0.0275487i
\(373\) 8.05821e7 + 6.03879e6i 1.55279 + 0.116365i 0.823291 0.567619i \(-0.192135\pi\)
0.729496 + 0.683985i \(0.239754\pi\)
\(374\) −5.95655e6 + 6.41963e6i −0.113862 + 0.122714i
\(375\) 1.19738e6 + 816357.i 0.0227058 + 0.0154805i
\(376\) 1.75472e7 1.39934e7i 0.330099 0.263245i
\(377\) −1.04258e6 1.12364e6i −0.0194575 0.0209702i
\(378\) 917577. + 6.08772e6i 0.0169890 + 0.112714i
\(379\) 2.23094e7 9.77437e7i 0.409798 1.79544i −0.175342 0.984508i \(-0.556103\pi\)
0.585139 0.810933i \(-0.301040\pi\)
\(380\) −2.80475e7 + 4.85797e7i −0.511144 + 0.885327i
\(381\) −1.16047e7 + 6.69995e6i −0.209825 + 0.121143i
\(382\) −1.51108e8 + 4.66106e7i −2.71080 + 0.836171i
\(383\) −1.33102e7 1.06145e7i −0.236913 0.188932i 0.497836 0.867271i \(-0.334128\pi\)
−0.734748 + 0.678340i \(0.762700\pi\)
\(384\) 411327. + 5.48877e6i 0.00726429 + 0.0969352i
\(385\) −2.29548e6 + 1.10544e6i −0.0402245 + 0.0193711i
\(386\) 8.98249e7i 1.56183i
\(387\) 5.53570e7 + 1.32786e7i 0.955079 + 0.229097i
\(388\) 1.34265e7 0.229862
\(389\) −3.44252e7 7.14847e7i −0.584828 1.21441i −0.958033 0.286658i \(-0.907456\pi\)
0.373205 0.927749i \(-0.378259\pi\)
\(390\) −501473. + 37580.2i −0.00845383 + 0.000633527i
\(391\) 5.54214e6 6.94962e6i 0.0927144 0.116260i
\(392\) −6.12244e6 1.98485e7i −0.101640 0.329510i
\(393\) 7.57352e6 + 1.31177e7i 0.124773 + 0.216113i
\(394\) −9.15150e7 5.28362e7i −1.49625 0.863859i
\(395\) −1.36613e8 3.11810e7i −2.21667 0.505940i
\(396\) −8.01608e6 + 1.20823e6i −0.129085 + 0.0194565i
\(397\) −7.62759e7 + 7.07737e7i −1.21903 + 1.13110i −0.231642 + 0.972801i \(0.574410\pi\)
−0.987392 + 0.158297i \(0.949400\pi\)
\(398\) −4.08751e7 5.12558e7i −0.648351 0.813006i
\(399\) −766410. + 1.12412e6i −0.0120654 + 0.0176967i
\(400\) −3.67507e7 3.40997e7i −0.574230 0.532807i
\(401\) −4.82387e6 + 6.43701e7i −0.0748105 + 0.998276i 0.825889 + 0.563833i \(0.190674\pi\)
−0.900699 + 0.434443i \(0.856945\pi\)
\(402\) 1.57817e6 + 4.02110e6i 0.0242926 + 0.0618966i
\(403\) −190264. 833600.i −0.00290697 0.0127363i
\(404\) −3.91959e7 1.20903e7i −0.594425 0.183356i
\(405\) −5.18405e7 7.60361e7i −0.780376 1.14460i
\(406\) −4.24831e6 + 2.81857e7i −0.0634802 + 0.421164i
\(407\) 1.03125e7 + 4.04737e6i 0.152961 + 0.0600329i
\(408\) 3.22361e6 + 1.55241e6i 0.0474638 + 0.0228574i
\(409\) −1.49868e6 + 3.11204e6i −0.0219048 + 0.0454858i −0.911634 0.411003i \(-0.865179\pi\)
0.889729 + 0.456488i \(0.150893\pi\)
\(410\) 5.31386e7 1.35395e8i 0.771007 1.96449i
\(411\) −6.07222e6 915240.i −0.0874626 0.0131829i
\(412\) 1.24984e7 8.52129e6i 0.178716 0.121847i
\(413\) 8.49545e6 2.75416e7i 0.120597 0.390966i
\(414\) 1.44371e7 3.29517e6i 0.203460 0.0464383i
\(415\) 4.00875e7 1.57332e7i 0.560874 0.220127i
\(416\) 2.91986e6 + 218813.i 0.0405585 + 0.00303944i
\(417\) 4.35564e6 4.69426e6i 0.0600680 0.0647380i
\(418\) −5.37609e6 3.66535e6i −0.0736101 0.0501865i
\(419\) 7.06031e7 5.63041e7i 0.959802 0.765417i −0.0123119 0.999924i \(-0.503919\pi\)
0.972114 + 0.234507i \(0.0753477\pi\)
\(420\) 3.53431e6 + 3.80908e6i 0.0477042 + 0.0514129i
\(421\) 1.45452e7 + 9.65013e7i 0.194928 + 1.29326i 0.845565 + 0.533873i \(0.179264\pi\)
−0.650637 + 0.759389i \(0.725498\pi\)
\(422\) 2.83433e7 1.24180e8i 0.377149 1.65240i
\(423\) −4.17586e7 + 7.23281e7i −0.551728 + 0.955621i
\(424\) 1.99717e7 1.15306e7i 0.262009 0.151271i
\(425\) −8.78478e7 + 2.70975e7i −1.14436 + 0.352990i
\(426\) 1.71121e7 + 1.36464e7i 0.221347 + 0.176519i
\(427\) 1.37756e6 + 1.83823e7i 0.0176940 + 0.236110i
\(428\) 2.75410e7 1.32631e7i 0.351276 0.169166i
\(429\) 32412.0i 0.000410520i
\(430\) 1.63140e8 6.19610e7i 2.05189 0.779315i
\(431\) 3.76685e6 0.0470486 0.0235243 0.999723i \(-0.492511\pi\)
0.0235243 + 0.999723i \(0.492511\pi\)
\(432\) −6.35779e6 1.32021e7i −0.0788597 0.163754i
\(433\) 9.38961e7 7.03654e6i 1.15660 0.0866753i 0.517421 0.855731i \(-0.326892\pi\)
0.639182 + 0.769056i \(0.279273\pi\)
\(434\) −9.91358e6 + 1.24312e7i −0.121272 + 0.152071i
\(435\) 4.68724e6 + 1.51957e7i 0.0569442 + 0.184608i
\(436\) 2.37466e7 + 4.11303e7i 0.286511 + 0.496252i
\(437\) 5.71958e6 + 3.30220e6i 0.0685362 + 0.0395694i
\(438\) 1.51250e7 + 3.45218e6i 0.180000 + 0.0410838i
\(439\) −7.65125e7 + 1.15324e7i −0.904354 + 0.136310i −0.584724 0.811233i \(-0.698797\pi\)
−0.319631 + 0.947542i \(0.603559\pi\)
\(440\) −3.64931e6 + 3.38607e6i −0.0428403 + 0.0397500i
\(441\) 4.81920e7 + 6.04309e7i 0.561900 + 0.704601i
\(442\) 2.21619e6 3.25055e6i 0.0256649 0.0376435i
\(443\) 2.12323e7 + 1.97007e7i 0.244223 + 0.226606i 0.792781 0.609507i \(-0.208632\pi\)
−0.548558 + 0.836113i \(0.684823\pi\)
\(444\) 1.68847e6 2.25310e7i 0.0192905 0.257414i
\(445\) 2.85390e7 + 7.27161e7i 0.323861 + 0.825184i
\(446\) 4.02678e7 + 1.76425e8i 0.453893 + 1.98864i
\(447\) 8.73910e6 + 2.69566e6i 0.0978463 + 0.0301816i
\(448\) −2.06862e7 3.03410e7i −0.230063 0.337440i
\(449\) −9.76982e6 + 6.48185e7i −0.107931 + 0.716078i 0.867769 + 0.496968i \(0.165553\pi\)
−0.975700 + 0.219110i \(0.929685\pi\)
\(450\) −1.42566e8 5.59531e7i −1.56451 0.614026i
\(451\) 8.44626e6 + 4.06750e6i 0.0920735 + 0.0443403i
\(452\) 1.15211e7 2.39238e7i 0.124761 0.259068i
\(453\) −2.11846e6 + 5.39775e6i −0.0227890 + 0.0580655i
\(454\) 8.79774e7 + 1.32605e7i 0.940164 + 0.141707i
\(455\) 945681. 644755.i 0.0100395 0.00684479i
\(456\) −783574. + 2.54029e6i −0.00826391 + 0.0267909i
\(457\) 8.55783e7 1.95327e7i 0.896634 0.204651i 0.250719 0.968060i \(-0.419333\pi\)
0.645915 + 0.763409i \(0.276476\pi\)
\(458\) 1.67729e8 6.58289e7i 1.74587 0.685205i
\(459\) −2.67950e7 2.00801e6i −0.277086 0.0207648i
\(460\) 1.71566e7 1.84905e7i 0.176262 0.189965i
\(461\) −1.20123e8 8.18982e7i −1.22609 0.835933i −0.235376 0.971904i \(-0.575632\pi\)
−0.990713 + 0.135971i \(0.956585\pi\)
\(462\) −471233. + 375796.i −0.00477870 + 0.00381088i
\(463\) 2.22918e7 + 2.40248e7i 0.224596 + 0.242057i 0.835290 0.549810i \(-0.185300\pi\)
−0.610694 + 0.791867i \(0.709109\pi\)
\(464\) −1.01115e7 6.70856e7i −0.101219 0.671545i
\(465\) −1.97388e6 + 8.64813e6i −0.0196319 + 0.0860129i
\(466\) −7.63585e7 + 1.32257e8i −0.754570 + 1.30695i
\(467\) −1.59440e8 + 9.20527e7i −1.56548 + 0.903828i −0.568791 + 0.822482i \(0.692589\pi\)
−0.996686 + 0.0813464i \(0.974078\pi\)
\(468\) 3.48001e6 1.07344e6i 0.0339502 0.0104723i
\(469\) −7.68676e6 6.12998e6i −0.0745117 0.0594211i
\(470\) 1.91325e7 + 2.55306e8i 0.184280 + 2.45905i
\(471\) 1.91745e7 9.23394e6i 0.183510 0.0883740i
\(472\) 5.63168e7i 0.535565i
\(473\) 3.19663e6 + 1.07839e7i 0.0302071 + 0.101904i
\(474\) −3.31496e7 −0.311275
\(475\) −2.96364e7 6.15407e7i −0.276532 0.574224i
\(476\) −4.05375e7 + 3.03787e6i −0.375869 + 0.0281675i
\(477\) −5.35051e7 + 6.70933e7i −0.492992 + 0.618193i
\(478\) 6.50670e7 + 2.10942e8i 0.595768 + 1.93143i
\(479\) 7.99702e6 + 1.38512e7i 0.0727649 + 0.126032i 0.900112 0.435658i \(-0.143484\pi\)
−0.827347 + 0.561691i \(0.810151\pi\)
\(480\) −2.63071e7 1.51884e7i −0.237875 0.137337i
\(481\) −4.85202e6 1.10744e6i −0.0436001 0.00995144i
\(482\) −2.25886e7 + 3.40468e6i −0.201720 + 0.0304043i
\(483\) 448466. 416116.i 0.00398005 0.00369295i
\(484\) 8.74013e7 + 1.09598e8i 0.770871 + 0.966642i
\(485\) −1.72837e7 + 2.53505e7i −0.151499 + 0.222209i
\(486\) −4.93690e7 4.58077e7i −0.430076 0.399052i
\(487\) 5.92232e6 7.90278e7i 0.0512749 0.684216i −0.911047 0.412303i \(-0.864725\pi\)
0.962322 0.271913i \(-0.0876563\pi\)
\(488\) 1.31591e7 + 3.35288e7i 0.113231 + 0.288509i
\(489\) 3.39151e6 + 1.48592e7i 0.0290046 + 0.127077i
\(490\) 2.26417e8 + 6.98405e7i 1.92452 + 0.593634i
\(491\) −4.63755e7 6.80204e7i −0.391782 0.574638i 0.578782 0.815482i \(-0.303528\pi\)
−0.970564 + 0.240844i \(0.922576\pi\)
\(492\) 2.84962e6 1.89060e7i 0.0239271 0.158746i
\(493\) −1.15807e8 4.54508e7i −0.966481 0.379316i
\(494\) 2.63358e6 + 1.26827e6i 0.0218457 + 0.0105203i
\(495\) 8.03770e6 1.66905e7i 0.0662699 0.137611i
\(496\) 1.38261e7 3.52283e7i 0.113307 0.288700i
\(497\) −4.92592e7 7.42464e6i −0.401253 0.0604792i
\(498\) 8.41750e6 5.73896e6i 0.0681546 0.0464670i
\(499\) 3.79653e7 1.23080e8i 0.305552 0.990575i −0.664420 0.747359i \(-0.731322\pi\)
0.969972 0.243216i \(-0.0782023\pi\)
\(500\) −3.13654e7 + 7.15894e6i −0.250923 + 0.0572715i
\(501\) 2.64347e6 1.03748e6i 0.0210214 0.00825028i
\(502\) −1.96766e8 1.47456e7i −1.55539 0.116560i
\(503\) 6.41920e7 6.91826e7i 0.504402 0.543617i −0.428596 0.903496i \(-0.640992\pi\)
0.932999 + 0.359880i \(0.117182\pi\)
\(504\) −1.12092e7 7.64228e6i −0.0875552 0.0596941i
\(505\) 7.32839e7 5.84420e7i 0.569029 0.453786i
\(506\) 1.99007e6 + 2.14479e6i 0.0153609 + 0.0165551i
\(507\) −2.59131e6 1.71922e7i −0.0198836 0.131919i
\(508\) 6.61950e7 2.90019e8i 0.504933 2.21226i
\(509\) 7.30633e7 1.26549e8i 0.554046 0.959636i −0.443931 0.896061i \(-0.646416\pi\)
0.997977 0.0635753i \(-0.0202503\pi\)
\(510\) −3.53465e7 + 2.04073e7i −0.266462 + 0.153842i
\(511\) −3.37413e7 + 1.04078e7i −0.252871 + 0.0780004i
\(512\) 1.28405e8 + 1.02399e8i 0.956688 + 0.762933i
\(513\) −1.49194e6 1.99085e7i −0.0110509 0.147464i
\(514\) −2.66221e8 + 1.28205e8i −1.96044 + 0.944097i
\(515\) 3.45675e7i 0.253074i
\(516\) 1.90949e7 1.27126e7i 0.138985 0.0925306i
\(517\) −1.65013e7 −0.119412
\(518\) 4.01550e7 + 8.33827e7i 0.288902 + 0.599911i
\(519\) 771728. 57833.0i 0.00552029 0.000413689i
\(520\) 1.39438e6 1.74850e6i 0.00991680 0.0124353i
\(521\) −4.49290e7 1.45656e8i −0.317697 1.02995i −0.963784 0.266685i \(-0.914072\pi\)
0.646086 0.763264i \(-0.276405\pi\)
\(522\) −1.03627e8 1.79487e8i −0.728552 1.26189i
\(523\) 1.15506e8 + 6.66875e7i 0.807421 + 0.466165i 0.846059 0.533089i \(-0.178969\pi\)
−0.0386387 + 0.999253i \(0.512302\pi\)
\(524\) −3.27833e8 7.48258e7i −2.27855 0.520065i
\(525\) −6.25657e6 + 943026.i −0.0432373 + 0.00651697i
\(526\) 2.02617e7 1.88001e7i 0.139225 0.129182i
\(527\) −4.32680e7 5.42564e7i −0.295621 0.370697i
\(528\) 808123. 1.18530e6i 0.00549004 0.00805242i
\(529\) 1.06341e8 + 9.86700e7i 0.718346 + 0.666528i
\(530\) −1.96590e7 + 2.62331e8i −0.132049 + 1.76207i
\(531\) 7.65630e7 + 1.95079e8i 0.511370 + 1.30295i
\(532\) −6.72093e6 2.94463e7i −0.0446370 0.195567i
\(533\) −4.02434e6 1.24134e6i −0.0265774 0.00819805i
\(534\) 1.04101e7 + 1.52688e7i 0.0683645 + 0.100272i
\(535\) −1.04111e7 + 6.90734e7i −0.0679887 + 0.451076i
\(536\) −1.78827e7 7.01845e6i −0.116129 0.0455771i
\(537\) −3.09382e7 1.48990e7i −0.199789 0.0962134i
\(538\) 8.81062e7 1.82954e8i 0.565796 1.17489i
\(539\) −5.57940e6 + 1.42161e7i −0.0356304 + 0.0907848i
\(540\) −7.53974e7 1.13643e7i −0.478823 0.0721710i
\(541\) −2.18798e8 + 1.49174e8i −1.38182 + 0.942110i −0.381982 + 0.924170i \(0.624759\pi\)
−0.999839 + 0.0179403i \(0.994289\pi\)
\(542\) 3.41146e7 1.10597e8i 0.214260 0.694615i
\(543\) 3.67953e7 8.39830e6i 0.229823 0.0524556i
\(544\) 2.21218e8 8.68218e7i 1.37412 0.539302i
\(545\) −1.08226e8 8.11045e6i −0.668566 0.0501021i
\(546\) 184169. 198487.i 0.00113146 0.00121943i
\(547\) 2.86076e7 + 1.95044e7i 0.174791 + 0.119171i 0.647556 0.762018i \(-0.275791\pi\)
−0.472764 + 0.881189i \(0.656744\pi\)
\(548\) 1.06584e8 8.49978e7i 0.647664 0.516495i
\(549\) −9.11652e7 9.82528e7i −0.550950 0.593783i
\(550\) −4.51002e6 2.99220e7i −0.0271076 0.179847i
\(551\) 2.05684e7 9.01159e7i 0.122955 0.538700i
\(552\) 597693. 1.03523e6i 0.00355354 0.00615490i
\(553\) 6.53409e7 3.77246e7i 0.386375 0.223074i
\(554\) 4.33900e8 1.33841e8i 2.55188 0.787152i
\(555\) 4.03671e7 + 3.21917e7i 0.236129 + 0.188307i
\(556\) 1.06238e7 + 1.41765e8i 0.0618097 + 0.824793i
\(557\) 1.72039e8 8.28498e7i 0.995548 0.479431i 0.136123 0.990692i \(-0.456536\pi\)
0.859425 + 0.511261i \(0.170822\pi\)
\(558\) 1.15610e8i 0.665417i
\(559\) −2.14204e6 4.57639e6i −0.0122629 0.0261992i
\(560\) 5.06588e7 0.288464
\(561\) −1.14139e6 2.37011e6i −0.00646463 0.0134239i
\(562\) −3.30783e8 + 2.47888e7i −1.86352 + 0.139652i
\(563\) 1.50947e8 1.89282e8i 0.845863 1.06068i −0.151526 0.988453i \(-0.548419\pi\)
0.997388 0.0722247i \(-0.0230099\pi\)
\(564\) 9.91980e6 + 3.21592e7i 0.0552924 + 0.179254i
\(565\) 3.03395e7 + 5.25496e7i 0.168214 + 0.291356i
\(566\) 4.08619e8 + 2.35916e8i 2.25356 + 1.30109i
\(567\) 4.83083e7 + 1.10260e7i 0.265016 + 0.0604882i
\(568\) −9.62500e7 + 1.45074e7i −0.525237 + 0.0791668i
\(569\) −1.38913e8 + 1.28893e8i −0.754062 + 0.699667i −0.960342 0.278826i \(-0.910055\pi\)
0.206280 + 0.978493i \(0.433864\pi\)
\(570\) −1.89073e7 2.37091e7i −0.102095 0.128024i
\(571\) 1.13201e8 1.66035e8i 0.608054 0.891851i −0.391545 0.920159i \(-0.628059\pi\)
0.999599 + 0.0283075i \(0.00901177\pi\)
\(572\) 527465. + 489416.i 0.00281842 + 0.00261511i
\(573\) 3.54979e6 4.73686e7i 0.0188686 0.251783i
\(574\) 2.86118e7 + 7.29016e7i 0.151290 + 0.385480i
\(575\) 6.83459e6 + 2.99443e7i 0.0359509 + 0.157511i
\(576\) 2.55143e8 + 7.87012e7i 1.33511 + 0.411826i
\(577\) −7.22026e7 1.05902e8i −0.375859 0.551285i 0.590975 0.806690i \(-0.298743\pi\)
−0.966834 + 0.255406i \(0.917791\pi\)
\(578\) 4.41463e6 2.92891e7i 0.0228618 0.151678i
\(579\) −2.51172e7 9.85776e6i −0.129400 0.0507859i
\(580\) −3.18067e8 1.53173e8i −1.63017 0.785051i
\(581\) −1.00607e7 + 2.08912e7i −0.0512978 + 0.106521i
\(582\) −2.65179e6 + 6.75664e6i −0.0134515 + 0.0342738i
\(583\) −1.67661e7 2.52708e6i −0.0846107 0.0127530i
\(584\) −5.70055e7 + 3.88657e7i −0.286206 + 0.195132i
\(585\) −2.45299e6 + 7.95240e6i −0.0122526 + 0.0397220i
\(586\) −4.18568e8 + 9.55353e7i −2.08005 + 0.474757i
\(587\) −2.53588e8 + 9.95258e7i −1.25376 + 0.492064i −0.896957 0.442117i \(-0.854228\pi\)
−0.356800 + 0.934181i \(0.616132\pi\)
\(588\) 3.10595e7 + 2.32759e6i 0.152779 + 0.0114492i
\(589\) 3.50705e7 3.77971e7i 0.171631 0.184975i
\(590\) 5.30794e8 + 3.61889e8i 2.58446 + 1.76206i
\(591\) 2.48175e7 1.97913e7i 0.120225 0.0958764i
\(592\) −1.49825e8 1.61473e8i −0.722139 0.778280i
\(593\) −1.98399e7 1.31629e8i −0.0951425 0.631229i −0.984681 0.174368i \(-0.944212\pi\)
0.889538 0.456861i \(-0.151026\pi\)
\(594\) 1.96808e6 8.62271e6i 0.00939037 0.0411419i
\(595\) 4.64474e7 8.04493e7i 0.220501 0.381919i
\(596\) −1.75827e8 + 1.01514e8i −0.830515 + 0.479498i
\(597\) 1.88182e7 5.80463e6i 0.0884411 0.0272805i
\(598\) −1.02764e6 819512.i −0.00480547 0.00383223i
\(599\) 1.53167e7 + 2.04387e8i 0.0712663 + 0.950983i 0.912174 + 0.409804i \(0.134403\pi\)
−0.840907 + 0.541179i \(0.817978\pi\)
\(600\) −1.11388e7 + 5.36415e6i −0.0515684 + 0.0248340i
\(601\) 4.12120e8i 1.89845i −0.314591 0.949227i \(-0.601867\pi\)
0.314591 0.949227i \(-0.398133\pi\)
\(602\) −4.16997e7 + 8.42029e7i −0.191136 + 0.385956i
\(603\) 7.14867e7 0.326042
\(604\) −5.58532e7 1.15980e8i −0.253476 0.526349i
\(605\) −3.19441e8 + 2.39388e7i −1.44253 + 0.108103i
\(606\) 1.38256e7 1.73368e7i 0.0621250 0.0779023i
\(607\) 1.55476e7 + 5.04039e7i 0.0695178 + 0.225371i 0.983664 0.180013i \(-0.0576140\pi\)
−0.914146 + 0.405384i \(0.867138\pi\)
\(608\) 8.82848e7 + 1.52914e8i 0.392803 + 0.680355i
\(609\) −7.41517e6 4.28115e6i −0.0328299 0.0189543i
\(610\) −4.00574e8 9.14284e7i −1.76479 0.402802i
\(611\) 7.33023e6 1.10485e6i 0.0321362 0.00484375i
\(612\) 2.16672e8 2.01042e8i 0.945255 0.877068i
\(613\) −5.48547e7 6.87856e7i −0.238140 0.298618i 0.648372 0.761324i \(-0.275450\pi\)
−0.886512 + 0.462706i \(0.846879\pi\)
\(614\) −3.09245e8 + 4.53579e8i −1.33597 + 1.95951i
\(615\) 3.20280e7 + 2.97176e7i 0.137691 + 0.127758i
\(616\) 200312. 2.67298e6i 0.000856968 0.0114354i
\(617\) 6.93986e7 + 1.76825e8i 0.295458 + 0.752814i 0.999106 + 0.0422657i \(0.0134576\pi\)
−0.703649 + 0.710548i \(0.748447\pi\)
\(618\) 1.81969e6 + 7.97260e6i 0.00770962 + 0.0337781i
\(619\) −1.61505e8 4.98177e7i −0.680948 0.210045i −0.0650635 0.997881i \(-0.520725\pi\)
−0.615884 + 0.787836i \(0.711201\pi\)
\(620\) −1.10932e8 1.62708e8i −0.465461 0.682705i
\(621\) −1.33799e6 + 8.87700e6i −0.00558700 + 0.0370673i
\(622\) 1.20595e8 + 4.73299e7i 0.501137 + 0.196682i
\(623\) −3.78952e7 1.82494e7i −0.156719 0.0754717i
\(624\) −279622. + 580642.i −0.00115085 + 0.00238976i
\(625\) −7.48824e7 + 1.90797e8i −0.306718 + 0.781506i
\(626\) 1.09467e8 + 1.64995e7i 0.446232 + 0.0672586i
\(627\) 1.61492e6 1.10103e6i 0.00655160 0.00446680i
\(628\) −1.39261e8 + 4.51472e8i −0.562275 + 1.82285i
\(629\) −3.93800e8 + 8.98822e7i −1.58243 + 0.361178i
\(630\) 1.44059e8 5.65391e7i 0.576129 0.226114i
\(631\) −2.89292e8 2.16794e7i −1.15146 0.0862899i −0.514712 0.857363i \(-0.672101\pi\)
−0.636746 + 0.771073i \(0.719720\pi\)
\(632\) 1.00274e8 1.08069e8i 0.397224 0.428105i
\(633\) 3.16132e7 + 2.15535e7i 0.124640 + 0.0849781i
\(634\) −8.81602e7 + 7.03054e7i −0.345943 + 0.275881i
\(635\) 4.62372e8 + 4.98319e8i 1.80580 + 1.94619i
\(636\) 5.15396e6 + 3.41943e7i 0.0200341 + 0.132917i
\(637\) 1.52664e6 6.68863e6i 0.00590633 0.0258773i
\(638\) 2.04746e7 3.54630e7i 0.0788412 0.136557i
\(639\) 3.13683e8 1.81105e8i 1.20223 0.694110i
\(640\) 2.66825e8 8.23046e7i 1.01786 0.313967i
\(641\) 2.75991e8 + 2.20095e8i 1.04790 + 0.835673i 0.986716 0.162453i \(-0.0519407\pi\)
0.0611846 + 0.998126i \(0.480512\pi\)
\(642\) 1.23493e6 + 1.64790e7i 0.00466701 + 0.0622769i
\(643\) −1.49675e7 + 7.20797e6i −0.0563010 + 0.0271132i −0.461822 0.886972i \(-0.652804\pi\)
0.405521 + 0.914086i \(0.367090\pi\)
\(644\) 1.35815e7i 0.0508499i
\(645\) −577905. + 5.24177e7i −0.00215366 + 0.195343i
\(646\) 2.37241e8 0.880018
\(647\) 1.56520e8 + 3.25016e8i 0.577904 + 1.20003i 0.961058 + 0.276346i \(0.0891235\pi\)
−0.383154 + 0.923684i \(0.625162\pi\)
\(648\) 9.65485e7 7.23531e6i 0.354830 0.0265909i
\(649\) −2.58162e7 + 3.23725e7i −0.0944406 + 0.118425i
\(650\) 4.00688e6 + 1.29900e7i 0.0145904 + 0.0473009i
\(651\) −2.38811e6 4.13633e6i −0.00865589 0.0149924i
\(652\) −2.93026e8 1.69178e8i −1.05721 0.610383i
\(653\) −2.32451e8 5.30555e7i −0.834820 0.190542i −0.216315 0.976324i \(-0.569404\pi\)
−0.618504 + 0.785781i \(0.712261\pi\)
\(654\) −2.53881e7 + 3.82664e6i −0.0907606 + 0.0136800i
\(655\) 5.63292e8 5.22659e8i 2.00452 1.85992i
\(656\) −1.16219e8 1.45734e8i −0.411684 0.516236i
\(657\) 1.44627e8 2.12129e8i 0.509979 0.748002i
\(658\) −1.01052e8 9.37628e7i −0.354706 0.329119i
\(659\) 2.01056e7 2.68291e8i 0.0702525 0.937454i −0.845050 0.534687i \(-0.820429\pi\)
0.915302 0.402767i \(-0.131952\pi\)
\(660\) −2.72723e6 6.94888e6i −0.00948616 0.0241703i
\(661\) 8.34380e7 + 3.65566e8i 0.288908 + 1.26579i 0.886026 + 0.463635i \(0.153455\pi\)
−0.597118 + 0.802153i \(0.703688\pi\)
\(662\) 4.69407e8 + 1.44793e8i 1.61799 + 0.499084i
\(663\) 665718. + 976429.i 0.00228428 + 0.00335042i
\(664\) −6.75268e6 + 4.48011e7i −0.0230660 + 0.153033i
\(665\) 6.42492e7 + 2.52160e7i 0.218476 + 0.0857453i
\(666\) −6.06277e8 2.91968e8i −2.05234 0.988353i
\(667\) −1.80340e7 + 3.74479e7i −0.0607735 + 0.126197i
\(668\) −2.30322e7 + 5.86850e7i −0.0772690 + 0.196878i
\(669\) −5.37518e7 8.10178e6i −0.179521 0.0270584i
\(670\) 1.81064e8 1.23447e8i 0.602014 0.410446i
\(671\) 7.80575e6 2.53056e7i 0.0258373 0.0837625i
\(672\) 1.59459e7 3.63955e6i 0.0525463 0.0119933i
\(673\) −5.97458e7 + 2.34485e7i −0.196003 + 0.0769254i −0.461312 0.887238i \(-0.652621\pi\)
0.265309 + 0.964163i \(0.414526\pi\)
\(674\) 2.01360e8 + 1.50899e7i 0.657649 + 0.0492839i
\(675\) 6.31513e7 6.80610e7i 0.205339 0.221303i
\(676\) 3.18910e8 + 2.17429e8i 1.03235 + 0.703847i
\(677\) −2.48505e8 + 1.98176e8i −0.800883 + 0.638683i −0.935942 0.352155i \(-0.885449\pi\)
0.135059 + 0.990838i \(0.456878\pi\)
\(678\) 9.76375e6 + 1.05228e7i 0.0313276 + 0.0337632i
\(679\) −2.46221e6 1.63357e7i −0.00786531 0.0521829i
\(680\) 4.03901e7 1.76961e8i 0.128454 0.562795i
\(681\) −1.33630e7 + 2.31453e7i −0.0423118 + 0.0732862i
\(682\) 1.97820e7 1.14211e7i 0.0623616 0.0360045i
\(683\) −2.28544e8 + 7.04965e7i −0.717312 + 0.221261i −0.631862 0.775081i \(-0.717709\pi\)
−0.0854501 + 0.996342i \(0.527233\pi\)
\(684\) 1.71699e8 + 1.36925e8i 0.536536 + 0.427873i
\(685\) 2.32805e7 + 3.10657e8i 0.0724304 + 0.966516i
\(686\) −2.40215e8 + 1.15682e8i −0.744095 + 0.358337i
\(687\) 5.41255e7i 0.166929i
\(688\) 3.57682e7 2.20764e8i 0.109833 0.677897i
\(689\) 7.61702e6 0.0232878
\(690\) 5.91649e6 + 1.22857e7i 0.0180101 + 0.0373984i
\(691\) 2.46845e8 1.84985e7i 0.748152 0.0560663i 0.304803 0.952415i \(-0.401409\pi\)
0.443349 + 0.896349i \(0.353790\pi\)
\(692\) −1.07118e7 + 1.34322e7i −0.0323254 + 0.0405348i
\(693\) 2.94005e6 + 9.53141e6i 0.00883395 + 0.0286390i
\(694\) −2.06751e8 3.58103e8i −0.618542 1.07135i
\(695\) −2.81342e8 1.62433e8i −0.838069 0.483859i
\(696\) −1.63108e7 3.72284e6i −0.0483780 0.0110420i
\(697\) −3.37991e8 + 5.09439e7i −0.998175 + 0.150451i
\(698\) −9.00162e7 + 8.35229e7i −0.264700 + 0.245606i
\(699\) −2.86023e7 3.58661e7i −0.0837469 0.105015i
\(700\) 7.91266e7 1.16057e8i 0.230690 0.338360i
\(701\) 2.50735e7 + 2.32648e7i 0.0727883 + 0.0675376i 0.715728 0.698379i \(-0.246095\pi\)
−0.642940 + 0.765917i \(0.722285\pi\)
\(702\) −296922. + 3.96215e6i −0.000858285 + 0.0114530i
\(703\) −1.09644e8 2.79369e8i −0.315588 0.804105i
\(704\) 1.17391e7 + 5.14323e7i 0.0336447 + 0.147407i
\(705\) −7.34892e7 2.26684e7i −0.209728 0.0646925i
\(706\) −3.99380e7 5.85783e7i −0.113494 0.166465i
\(707\) −7.52212e6 + 4.99060e7i −0.0212854 + 0.141219i
\(708\) 7.86098e7 + 3.08521e7i 0.221502 + 0.0869329i
\(709\) 1.11475e8 + 5.36835e7i 0.312780 + 0.150627i 0.583687 0.811979i \(-0.301609\pi\)
−0.270908 + 0.962605i \(0.587324\pi\)
\(710\) 4.81764e8 1.00039e9i 1.34604 2.79509i
\(711\) −2.00423e8 + 5.10670e8i −0.557621 + 1.42080i
\(712\) −8.12662e7 1.22489e7i −0.225149 0.0339357i
\(713\) −1.91566e7 + 1.30607e7i −0.0528505 + 0.0360329i
\(714\) 6.47757e6 2.09998e7i 0.0177958 0.0576926i
\(715\) −1.60306e6 + 365888.i −0.00438563 + 0.00100099i
\(716\) 7.09624e8 2.78507e8i 1.93326 0.758747i
\(717\) −6.61252e7 4.95540e6i −0.179395 0.0134438i
\(718\) 1.98687e8 2.14134e8i 0.536781 0.578512i
\(719\) −2.16344e8 1.47501e8i −0.582048 0.396834i 0.236195 0.971706i \(-0.424099\pi\)
−0.818243 + 0.574872i \(0.805052\pi\)
\(720\) −2.87981e8 + 2.29657e8i −0.771554 + 0.615294i
\(721\) −1.26597e7 1.36439e7i −0.0337767 0.0364026i
\(722\) −5.78800e7 3.84008e8i −0.153786 1.02030i
\(723\) 1.52694e6 6.68995e6i 0.00404024 0.0177014i
\(724\) −4.18932e8 + 7.25611e8i −1.10389 + 1.91200i
\(725\) 3.72279e8 2.14935e8i 0.976909 0.564018i
\(726\) −7.24152e7 + 2.23371e7i −0.189243 + 0.0583738i
\(727\) −1.32453e8 1.05628e8i −0.344714 0.274900i 0.435794 0.900047i \(-0.356468\pi\)
−0.780507 + 0.625147i \(0.785039\pi\)
\(728\) 89987.6 + 1.20080e6i 0.000233232 + 0.00311227i
\(729\) −3.12269e8 + 1.50381e8i −0.806021 + 0.388159i
\(730\) 7.87034e8i 2.02314i
\(731\) −3.17792e8 2.59214e8i −0.813563 0.663599i
\(732\) −5.40102e7 −0.137703
\(733\) 3.09676e8 + 6.43050e8i 0.786314 + 1.63280i 0.774257 + 0.632871i \(0.218124\pi\)
0.0120573 + 0.999927i \(0.496162\pi\)
\(734\) −2.47158e8 + 1.85219e7i −0.625010 + 0.0468380i
\(735\) −4.43771e7 + 5.56471e7i −0.111763 + 0.140146i
\(736\) −2.34027e7 7.58698e7i −0.0586993 0.190298i
\(737\) 7.06217e6 + 1.22320e7i 0.0176415 + 0.0305560i
\(738\) −4.93142e8 2.84716e8i −1.22688 0.708341i
\(739\) 4.26288e8 + 9.72975e7i 1.05626 + 0.241084i 0.715172 0.698948i \(-0.246348\pi\)
0.341086 + 0.940032i \(0.389205\pi\)
\(740\) −1.13342e9 + 1.70835e8i −2.79701 + 0.421582i
\(741\) −643658. + 597227.i −0.00158198 + 0.00146786i
\(742\) −8.83142e7 1.10742e8i −0.216182 0.271083i
\(743\) 7.20918e7 1.05739e8i 0.175760 0.257792i −0.728243 0.685319i \(-0.759663\pi\)
0.904003 + 0.427527i \(0.140615\pi\)
\(744\) −6.84120e6 6.34771e6i −0.0166117 0.0154134i
\(745\) 3.46713e7 4.62656e8i 0.0838496 1.11889i
\(746\) −3.54310e8 9.02767e8i −0.853428 2.17450i
\(747\) −3.75163e7 1.64370e8i −0.0900032 0.394330i
\(748\) 5.58053e7 + 1.72137e7i 0.133343 + 0.0411309i
\(749\) −2.11875e7 3.10763e7i −0.0504235 0.0739578i
\(750\) 2.59218e6 1.71980e7i 0.00614442 0.0407656i
\(751\) 6.82640e8 + 2.67917e8i 1.61165 + 0.632528i 0.988724 0.149749i \(-0.0478465\pi\)
0.622931 + 0.782277i \(0.285942\pi\)
\(752\) 2.95611e8 + 1.42359e8i 0.695133