Properties

Label 36.6.h.a.11.5
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.78727 + 3.01364i) q^{2} +(13.9499 - 6.95697i) q^{3} +(13.8359 - 28.8542i) q^{4} +(-0.143132 + 0.0826372i) q^{5} +(-45.8163 + 75.3450i) q^{6} +(-192.634 - 111.217i) q^{7} +(20.7202 + 179.830i) q^{8} +(146.201 - 194.098i) q^{9} +O(q^{10})\) \(q+(-4.78727 + 3.01364i) q^{2} +(13.9499 - 6.95697i) q^{3} +(13.8359 - 28.8542i) q^{4} +(-0.143132 + 0.0826372i) q^{5} +(-45.8163 + 75.3450i) q^{6} +(-192.634 - 111.217i) q^{7} +(20.7202 + 179.830i) q^{8} +(146.201 - 194.098i) q^{9} +(0.436172 - 0.826955i) q^{10} +(329.552 - 570.801i) q^{11} +(-7.72816 - 498.771i) q^{12} +(43.8997 + 76.0365i) q^{13} +(1257.36 - 48.1030i) q^{14} +(-1.42177 + 2.14855i) q^{15} +(-641.135 - 798.449i) q^{16} -85.1645i q^{17} +(-114.961 + 1369.80i) q^{18} -2308.11i q^{19} +(0.404076 + 5.27332i) q^{20} +(-3460.97 - 211.325i) q^{21} +(142.536 + 3725.73i) q^{22} +(1327.18 + 2298.74i) q^{23} +(1540.11 + 2364.46i) q^{24} +(-1562.49 + 2706.31i) q^{25} +(-439.307 - 231.709i) q^{26} +(689.159 - 3724.78i) q^{27} +(-5874.36 + 4019.52i) q^{28} +(1337.58 + 772.253i) q^{29} +(0.331465 - 14.5704i) q^{30} +(-1202.41 + 694.212i) q^{31} +(5475.53 + 1890.24i) q^{32} +(626.185 - 10255.3i) q^{33} +(256.656 + 407.706i) q^{34} +36.7627 q^{35} +(-3577.74 - 6904.05i) q^{36} +4404.71 q^{37} +(6955.81 + 11049.5i) q^{38} +(1141.38 + 755.295i) q^{39} +(-17.8263 - 24.0271i) q^{40} +(-3145.98 + 1816.33i) q^{41} +(17205.4 - 9418.45i) q^{42} +(-2424.30 - 1399.67i) q^{43} +(-11910.4 - 17406.5i) q^{44} +(-4.88629 + 39.8633i) q^{45} +(-13281.1 - 7005.04i) q^{46} +(-4973.66 + 8614.64i) q^{47} +(-14498.6 - 6677.96i) q^{48} +(16335.1 + 28293.2i) q^{49} +(-675.797 - 17664.6i) q^{50} +(-592.487 - 1188.04i) q^{51} +(2801.37 - 214.659i) q^{52} +15134.7i q^{53} +(7925.96 + 19908.4i) q^{54} +108.933i q^{55} +(16008.7 - 36945.7i) q^{56} +(-16057.4 - 32197.9i) q^{57} +(-8730.66 + 334.010i) q^{58} +(17228.5 + 29840.7i) q^{59} +(42.3232 + 70.7513i) q^{60} +(22173.9 - 38406.3i) q^{61} +(3664.16 - 6947.02i) q^{62} +(-49750.4 + 21129.9i) q^{63} +(-31909.3 + 7452.21i) q^{64} +(-12.5669 - 7.25550i) q^{65} +(27908.2 + 50982.1i) q^{66} +(30386.6 - 17543.7i) q^{67} +(-2457.36 - 1178.33i) q^{68} +(34506.3 + 22834.1i) q^{69} +(-175.993 + 110.790i) q^{70} +6002.26 q^{71} +(37934.0 + 22269.5i) q^{72} +32902.8 q^{73} +(-21086.5 + 13274.2i) q^{74} +(-2968.89 + 48622.9i) q^{75} +(-66598.7 - 31934.8i) q^{76} +(-126966. + 73303.8i) q^{77} +(-7740.29 - 176.086i) q^{78} +(-23909.7 - 13804.3i) q^{79} +(157.749 + 61.3019i) q^{80} +(-16299.4 - 56754.8i) q^{81} +(9586.86 - 18176.1i) q^{82} +(49118.1 - 85075.0i) q^{83} +(-53983.2 + 96939.7i) q^{84} +(7.03776 + 12.1898i) q^{85} +(15823.9 - 605.377i) q^{86} +(24031.7 + 1467.36i) q^{87} +(109475. + 47436.1i) q^{88} -19178.8i q^{89} +(-96.7419 - 205.562i) q^{90} -19529.6i q^{91} +(84691.0 - 6489.57i) q^{92} +(-11943.9 + 18049.3i) q^{93} +(-2151.18 - 56229.4i) q^{94} +(190.736 + 330.364i) q^{95} +(89533.6 - 11724.4i) q^{96} +(-9697.23 + 16796.1i) q^{97} +(-163466. - 86219.0i) q^{98} +(-62610.7 - 147417. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.78727 + 3.01364i −0.846278 + 0.532742i
\(3\) 13.9499 6.95697i 0.894889 0.446290i
\(4\) 13.8359 28.8542i 0.432372 0.901695i
\(5\) −0.143132 + 0.0826372i −0.00256042 + 0.00147826i −0.501280 0.865285i \(-0.667137\pi\)
0.498719 + 0.866764i \(0.333804\pi\)
\(6\) −45.8163 + 75.3450i −0.519567 + 0.854430i
\(7\) −192.634 111.217i −1.48589 0.857881i −0.486023 0.873946i \(-0.661553\pi\)
−0.999871 + 0.0160647i \(0.994886\pi\)
\(8\) 20.7202 + 179.830i 0.114464 + 0.993427i
\(9\) 146.201 194.098i 0.601651 0.798759i
\(10\) 0.436172 0.826955i 0.00137930 0.00261506i
\(11\) 329.552 570.801i 0.821188 1.42234i −0.0836100 0.996499i \(-0.526645\pi\)
0.904798 0.425841i \(-0.140022\pi\)
\(12\) −7.72816 498.771i −0.0154926 0.999880i
\(13\) 43.8997 + 76.0365i 0.0720449 + 0.124785i 0.899797 0.436308i \(-0.143714\pi\)
−0.827752 + 0.561093i \(0.810381\pi\)
\(14\) 1257.36 48.1030i 1.71451 0.0655922i
\(15\) −1.42177 + 2.14855i −0.00163156 + 0.00246557i
\(16\) −641.135 798.449i −0.626109 0.779736i
\(17\) 85.1645i 0.0714721i −0.999361 0.0357360i \(-0.988622\pi\)
0.999361 0.0357360i \(-0.0113776\pi\)
\(18\) −114.961 + 1369.80i −0.0836313 + 0.996497i
\(19\) 2308.11i 1.46680i −0.679795 0.733402i \(-0.737931\pi\)
0.679795 0.733402i \(-0.262069\pi\)
\(20\) 0.404076 + 5.27332i 0.000225885 + 0.00294788i
\(21\) −3460.97 211.325i −1.71257 0.104569i
\(22\) 142.536 + 3725.73i 0.0627867 + 1.64118i
\(23\) 1327.18 + 2298.74i 0.523129 + 0.906086i 0.999638 + 0.0269164i \(0.00856881\pi\)
−0.476509 + 0.879170i \(0.658098\pi\)
\(24\) 1540.11 + 2364.46i 0.545789 + 0.837923i
\(25\) −1562.49 + 2706.31i −0.499996 + 0.866018i
\(26\) −439.307 231.709i −0.127448 0.0672218i
\(27\) 689.159 3724.78i 0.181932 0.983311i
\(28\) −5874.36 + 4019.52i −1.41601 + 0.968900i
\(29\) 1337.58 + 772.253i 0.295342 + 0.170516i 0.640348 0.768085i \(-0.278790\pi\)
−0.345007 + 0.938600i \(0.612123\pi\)
\(30\) 0.331465 14.5704i 6.72411e−5 0.00295575i
\(31\) −1202.41 + 694.212i −0.224724 + 0.129744i −0.608136 0.793833i \(-0.708082\pi\)
0.383412 + 0.923577i \(0.374749\pi\)
\(32\) 5475.53 + 1890.24i 0.945260 + 0.326319i
\(33\) 626.185 10255.3i 0.100096 1.63932i
\(34\) 256.656 + 407.706i 0.0380762 + 0.0604852i
\(35\) 36.7627 0.00507268
\(36\) −3577.74 6904.05i −0.460100 0.887867i
\(37\) 4404.71 0.528948 0.264474 0.964393i \(-0.414802\pi\)
0.264474 + 0.964393i \(0.414802\pi\)
\(38\) 6955.81 + 11049.5i 0.781428 + 1.24132i
\(39\) 1141.38 + 755.295i 0.120163 + 0.0795161i
\(40\) −17.8263 24.0271i −0.00176162 0.00237438i
\(41\) −3145.98 + 1816.33i −0.292278 + 0.168747i −0.638969 0.769233i \(-0.720639\pi\)
0.346691 + 0.937979i \(0.387305\pi\)
\(42\) 17205.4 9418.45i 1.50502 0.823865i
\(43\) −2424.30 1399.67i −0.199947 0.115440i 0.396684 0.917955i \(-0.370161\pi\)
−0.596631 + 0.802516i \(0.703494\pi\)
\(44\) −11910.4 17406.5i −0.927458 1.35544i
\(45\) −4.88629 + 39.8633i −0.000359706 + 0.00293456i
\(46\) −13281.1 7005.04i −0.925423 0.488108i
\(47\) −4973.66 + 8614.64i −0.328422 + 0.568843i −0.982199 0.187844i \(-0.939850\pi\)
0.653777 + 0.756687i \(0.273183\pi\)
\(48\) −14498.6 6677.96i −0.908286 0.418351i
\(49\) 16335.1 + 28293.2i 0.971921 + 1.68342i
\(50\) −675.797 17664.6i −0.0382288 0.999260i
\(51\) −592.487 1188.04i −0.0318973 0.0639595i
\(52\) 2801.37 214.659i 0.143669 0.0110088i
\(53\) 15134.7i 0.740087i 0.929014 + 0.370044i \(0.120657\pi\)
−0.929014 + 0.370044i \(0.879343\pi\)
\(54\) 7925.96 + 19908.4i 0.369886 + 0.929077i
\(55\) 108.933i 0.00485572i
\(56\) 16008.7 36945.7i 0.682161 1.57432i
\(57\) −16057.4 32197.9i −0.654620 1.31263i
\(58\) −8730.66 + 334.010i −0.340782 + 0.0130373i
\(59\) 17228.5 + 29840.7i 0.644344 + 1.11604i 0.984453 + 0.175651i \(0.0562029\pi\)
−0.340108 + 0.940386i \(0.610464\pi\)
\(60\) 42.3232 + 70.7513i 0.00151775 + 0.00253721i
\(61\) 22173.9 38406.3i 0.762986 1.32153i −0.178318 0.983973i \(-0.557066\pi\)
0.941305 0.337558i \(-0.109601\pi\)
\(62\) 3664.16 6947.02i 0.121058 0.229519i
\(63\) −49750.4 + 21129.9i −1.57923 + 0.670726i
\(64\) −31909.3 + 7452.21i −0.973796 + 0.227423i
\(65\) −12.5669 7.25550i −0.000368930 0.000213002i
\(66\) 27908.2 + 50982.1i 0.788627 + 1.44065i
\(67\) 30386.6 17543.7i 0.826980 0.477457i −0.0258378 0.999666i \(-0.508225\pi\)
0.852817 + 0.522209i \(0.174892\pi\)
\(68\) −2457.36 1178.33i −0.0644460 0.0309025i
\(69\) 34506.3 + 22834.1i 0.872519 + 0.577379i
\(70\) −175.993 + 110.790i −0.00429290 + 0.00270243i
\(71\) 6002.26 0.141309 0.0706544 0.997501i \(-0.477491\pi\)
0.0706544 + 0.997501i \(0.477491\pi\)
\(72\) 37934.0 + 22269.5i 0.862377 + 0.506267i
\(73\) 32902.8 0.722647 0.361324 0.932441i \(-0.382325\pi\)
0.361324 + 0.932441i \(0.382325\pi\)
\(74\) −21086.5 + 13274.2i −0.447637 + 0.281793i
\(75\) −2968.89 + 48622.9i −0.0609455 + 0.998132i
\(76\) −66598.7 31934.8i −1.32261 0.634205i
\(77\) −126966. + 73303.8i −2.44040 + 1.40896i
\(78\) −7740.29 176.086i −0.144053 0.00327708i
\(79\) −23909.7 13804.3i −0.431029 0.248855i 0.268756 0.963208i \(-0.413387\pi\)
−0.699785 + 0.714354i \(0.746721\pi\)
\(80\) 157.749 + 61.3019i 0.00275575 + 0.00107090i
\(81\) −16299.4 56754.8i −0.276032 0.961148i
\(82\) 9586.86 18176.1i 0.157450 0.298515i
\(83\) 49118.1 85075.0i 0.782611 1.35552i −0.147804 0.989017i \(-0.547221\pi\)
0.930416 0.366506i \(-0.119446\pi\)
\(84\) −53983.2 + 96939.7i −0.834758 + 1.49901i
\(85\) 7.03776 + 12.1898i 0.000105654 + 0.000182999i
\(86\) 15823.9 605.377i 0.230711 0.00882632i
\(87\) 24031.7 + 1467.36i 0.340398 + 0.0207845i
\(88\) 109475. + 47436.1i 1.50699 + 0.652984i
\(89\) 19178.8i 0.256653i −0.991732 0.128326i \(-0.959040\pi\)
0.991732 0.128326i \(-0.0409605\pi\)
\(90\) −96.7419 205.562i −0.00125895 0.00267508i
\(91\) 19529.6i 0.247224i
\(92\) 84691.0 6489.57i 1.04320 0.0799367i
\(93\) −11943.9 + 18049.3i −0.143199 + 0.216398i
\(94\) −2151.18 56229.4i −0.0251106 0.656363i
\(95\) 190.736 + 330.364i 0.00216832 + 0.00375563i
\(96\) 89533.6 11724.4i 0.991535 0.129841i
\(97\) −9697.23 + 16796.1i −0.104645 + 0.181250i −0.913593 0.406630i \(-0.866704\pi\)
0.808948 + 0.587880i \(0.200037\pi\)
\(98\) −163466. 86219.0i −1.71934 0.906855i
\(99\) −62610.7 147417.i −0.642038 1.51168i
\(100\) 56470.0 + 82528.6i 0.564700 + 0.825286i
\(101\) −18242.5 10532.3i −0.177943 0.102735i 0.408383 0.912811i \(-0.366093\pi\)
−0.586326 + 0.810075i \(0.699426\pi\)
\(102\) 6416.72 + 3901.92i 0.0610679 + 0.0371345i
\(103\) 109139. 63011.2i 1.01364 0.585228i 0.101388 0.994847i \(-0.467672\pi\)
0.912257 + 0.409619i \(0.134338\pi\)
\(104\) −12764.0 + 9469.96i −0.115719 + 0.0858548i
\(105\) 512.838 255.757i 0.00453949 0.00226389i
\(106\) −45610.5 72453.7i −0.394275 0.626319i
\(107\) −147922. −1.24903 −0.624516 0.781012i \(-0.714704\pi\)
−0.624516 + 0.781012i \(0.714704\pi\)
\(108\) −97940.5 71420.8i −0.807984 0.589204i
\(109\) 121171. 0.976857 0.488429 0.872604i \(-0.337570\pi\)
0.488429 + 0.872604i \(0.337570\pi\)
\(110\) −328.286 521.492i −0.00258684 0.00410928i
\(111\) 61445.4 30643.4i 0.473350 0.236064i
\(112\) 34703.1 + 225114.i 0.261411 + 1.69573i
\(113\) 102842. 59376.0i 0.757662 0.437436i −0.0707938 0.997491i \(-0.522553\pi\)
0.828456 + 0.560055i \(0.189220\pi\)
\(114\) 173904. + 105749.i 1.25328 + 0.762103i
\(115\) −379.922 219.348i −0.00267886 0.00154664i
\(116\) 40789.4 27910.1i 0.281451 0.192582i
\(117\) 21176.8 + 2595.76i 0.143019 + 0.0175307i
\(118\) −172407. 90934.7i −1.13985 0.601208i
\(119\) −9471.77 + 16405.6i −0.0613146 + 0.106200i
\(120\) −415.832 211.159i −0.00263612 0.00133862i
\(121\) −136684. 236744.i −0.848700 1.46999i
\(122\) 9590.50 + 250685.i 0.0583367 + 1.52486i
\(123\) −31250.0 + 47224.1i −0.186246 + 0.281450i
\(124\) 3394.53 + 44299.7i 0.0198255 + 0.258730i
\(125\) 1032.96i 0.00591301i
\(126\) 174491. 251084.i 0.979143 1.40894i
\(127\) 215170.i 1.18378i 0.806018 + 0.591891i \(0.201619\pi\)
−0.806018 + 0.591891i \(0.798381\pi\)
\(128\) 130300. 131839.i 0.702944 0.711245i
\(129\) −43556.3 2659.53i −0.230450 0.0140712i
\(130\) 82.0266 3.13810i 0.000425693 1.62858e-5i
\(131\) 123220. + 213424.i 0.627341 + 1.08659i 0.988083 + 0.153921i \(0.0491900\pi\)
−0.360742 + 0.932666i \(0.617477\pi\)
\(132\) −287246. 159960.i −1.43489 0.799054i
\(133\) −256701. + 444620.i −1.25834 + 2.17951i
\(134\) −92598.3 + 175561.i −0.445493 + 0.844628i
\(135\) 209.165 + 590.084i 0.000987765 + 0.00278663i
\(136\) 15315.1 1764.63i 0.0710023 0.00818098i
\(137\) 182252. + 105223.i 0.829606 + 0.478973i 0.853718 0.520736i \(-0.174342\pi\)
−0.0241120 + 0.999709i \(0.507676\pi\)
\(138\) −234005. 5323.42i −1.04599 0.0237954i
\(139\) −246037. + 142050.i −1.08010 + 0.623596i −0.930923 0.365214i \(-0.880996\pi\)
−0.149177 + 0.988811i \(0.547662\pi\)
\(140\) 508.646 1060.76i 0.00219329 0.00457402i
\(141\) −9450.50 + 154775.i −0.0400320 + 0.655622i
\(142\) −28734.5 + 18088.7i −0.119586 + 0.0752811i
\(143\) 57869.0 0.236650
\(144\) −248713. + 7709.16i −0.999520 + 0.0309814i
\(145\) −255.267 −0.00100827
\(146\) −157515. + 99157.4i −0.611560 + 0.384984i
\(147\) 424708. + 281045.i 1.62105 + 1.07271i
\(148\) 60943.2 127095.i 0.228703 0.476950i
\(149\) 256622. 148161.i 0.946953 0.546723i 0.0548196 0.998496i \(-0.482542\pi\)
0.892133 + 0.451773i \(0.149208\pi\)
\(150\) −132319. 241718.i −0.480170 0.877165i
\(151\) −381289. 220137.i −1.36086 0.785690i −0.371118 0.928586i \(-0.621025\pi\)
−0.989738 + 0.142896i \(0.954359\pi\)
\(152\) 415066. 47824.4i 1.45716 0.167896i
\(153\) −16530.3 12451.2i −0.0570890 0.0430012i
\(154\) 386909. 733555.i 1.31464 2.49248i
\(155\) 114.735 198.728i 0.000383591 0.000664399i
\(156\) 37585.5 22483.5i 0.123654 0.0739695i
\(157\) 20432.3 + 35389.8i 0.0661558 + 0.114585i 0.897206 0.441612i \(-0.145593\pi\)
−0.831050 + 0.556197i \(0.812260\pi\)
\(158\) 156063. 5970.54i 0.497346 0.0190270i
\(159\) 105291. + 211127.i 0.330293 + 0.662296i
\(160\) −939.927 + 181.929i −0.00290265 + 0.000561826i
\(161\) 590420.i 1.79513i
\(162\) 249069. + 222580.i 0.745644 + 0.666344i
\(163\) 326446.i 0.962369i 0.876619 + 0.481185i \(0.159793\pi\)
−0.876619 + 0.481185i \(0.840207\pi\)
\(164\) 8881.41 + 115905.i 0.0257853 + 0.336507i
\(165\) 757.844 + 1519.61i 0.00216706 + 0.00434532i
\(166\) 21244.2 + 555301.i 0.0598371 + 1.56408i
\(167\) −232137. 402072.i −0.644099 1.11561i −0.984509 0.175335i \(-0.943899\pi\)
0.340410 0.940277i \(1.61057\pi\)
\(168\) −33709.4 626763.i −0.0921464 1.71329i
\(169\) 181792. 314873.i 0.489619 0.848045i
\(170\) −70.4272 37.1464i −0.000186904 9.85812e-5i
\(171\) −448000. 337448.i −1.17162 0.882504i
\(172\) −73928.9 + 50585.7i −0.190543 + 0.130379i
\(173\) 356838. + 206020.i 0.906474 + 0.523353i 0.879295 0.476277i \(-0.158014\pi\)
0.0271793 + 0.999631i \(0.491347\pi\)
\(174\) −119468. + 65398.3i −0.299144 + 0.163755i
\(175\) 601976. 347551.i 1.48588 0.857874i
\(176\) −667044. + 102830.i −1.62320 + 0.250230i
\(177\) 447937. + 296417.i 1.07469 + 0.711164i
\(178\) 57798.0 + 91813.9i 0.136730 + 0.217199i
\(179\) −91420.4 −0.213261 −0.106630 0.994299i \(-0.534006\pi\)
−0.106630 + 0.994299i \(0.534006\pi\)
\(180\) 1082.62 + 692.535i 0.00249055 + 0.00159316i
\(181\) −705467. −1.60059 −0.800295 0.599606i \(-0.795324\pi\)
−0.800295 + 0.599606i \(0.795324\pi\)
\(182\) 58855.3 + 93493.6i 0.131707 + 0.209220i
\(183\) 42132.7 690027.i 0.0930019 1.52314i
\(184\) −385881. + 286296.i −0.840251 + 0.623405i
\(185\) −630.455 + 363.993i −0.00135433 + 0.000781923i
\(186\) 2784.55 122402.i 0.00590163 0.259421i
\(187\) −48612.0 28066.2i −0.101658 0.0586920i
\(188\) 179754. + 262703.i 0.370923 + 0.542088i
\(189\) −547015. + 640872.i −1.11390 + 1.30502i
\(190\) −1908.70 1006.73i −0.00383578 0.00202316i
\(191\) −65114.9 + 112782.i −0.129151 + 0.223696i −0.923348 0.383965i \(-0.874558\pi\)
0.794197 + 0.607660i \(0.207892\pi\)
\(192\) −393288. + 325950.i −0.769942 + 0.638114i
\(193\) −229197. 396982.i −0.442911 0.767144i 0.554993 0.831855i \(-0.312721\pi\)
−0.997904 + 0.0647106i \(0.979388\pi\)
\(194\) −4194.19 109631.i −0.00800098 0.209137i
\(195\) −225.784 13.7862i −0.000425212 2.59632e-5i
\(196\) 1.04239e6 79874.5i 1.93816 0.148514i
\(197\) 484753.i 0.889928i 0.895549 + 0.444964i \(0.146783\pi\)
−0.895549 + 0.444964i \(0.853217\pi\)
\(198\) 743998. + 517041.i 1.34868 + 0.937263i
\(199\) 616397.i 1.10339i 0.834047 + 0.551694i \(0.186018\pi\)
−0.834047 + 0.551694i \(0.813982\pi\)
\(200\) −519049. 224906.i −0.917557 0.397581i
\(201\) 301840. 456132.i 0.526970 0.796343i
\(202\) 119072. 4555.36i 0.205320 0.00785497i
\(203\) −171776. 297524.i −0.292565 0.506737i
\(204\) −42477.6 + 658.165i −0.0714635 + 0.00110729i
\(205\) 300.193 519.949i 0.000498903 0.000864125i
\(206\) −332583. + 630557.i −0.546049 + 1.03528i
\(207\) 640216. + 78475.1i 1.03849 + 0.127293i
\(208\) 32565.7 83801.4i 0.0521917 0.134305i
\(209\) −1.31747e6 760642.i −2.08629 1.20452i
\(210\) −1684.33 + 2769.89i −0.00263560 + 0.00433425i
\(211\) 388325. 224199.i 0.600466 0.346679i −0.168759 0.985657i \(-0.553976\pi\)
0.769225 + 0.638978i \(0.220643\pi\)
\(212\) 436699. + 209402.i 0.667333 + 0.319993i
\(213\) 83731.2 41757.6i 0.126456 0.0630647i
\(214\) 708143. 445784.i 1.05703 0.665412i
\(215\) 462.660 0.000682599
\(216\) 684105. + 46753.1i 0.997673 + 0.0681830i
\(217\) 308834. 0.445220
\(218\) −580077. + 365165.i −0.826693 + 0.520413i
\(219\) 458992. 228904.i 0.646689 0.322510i
\(220\) 3143.18 + 1507.19i 0.00437838 + 0.00209948i
\(221\) 6475.61 3738.70i 0.00891867 0.00514920i
\(222\) −201807. + 331873.i −0.274824 + 0.451949i
\(223\) −48031.9 27731.2i −0.0646796 0.0373428i 0.467311 0.884093i \(-0.345223\pi\)
−0.531991 + 0.846750i \(0.678556\pi\)
\(224\) −844546. 973098.i −1.12461 1.29580i
\(225\) 296852. + 698941.i 0.390917 + 0.920416i
\(226\) −313395. + 594179.i −0.408152 + 0.773831i
\(227\) 309416. 535925.i 0.398546 0.690302i −0.595001 0.803725i \(-0.702848\pi\)
0.993547 + 0.113423i \(0.0361815\pi\)
\(228\) −1.15122e6 + 17837.4i −1.46663 + 0.0227245i
\(229\) 78993.5 + 136821.i 0.0995412 + 0.172410i 0.911495 0.411312i \(-0.134929\pi\)
−0.811954 + 0.583722i \(0.801596\pi\)
\(230\) 2479.83 94.8711i 0.00309102 0.000118254i
\(231\) −1.26119e6 + 1.90588e6i −1.55508 + 2.34999i
\(232\) −111159. + 256538.i −0.135589 + 0.312919i
\(233\) 824409.i 0.994840i 0.867510 + 0.497420i \(0.165719\pi\)
−0.867510 + 0.497420i \(0.834281\pi\)
\(234\) −109202. + 51392.6i −0.130373 + 0.0613565i
\(235\) 1644.04i 0.00194197i
\(236\) 1.09940e6 84243.2i 1.28492 0.0984589i
\(237\) −429575. 26229.6i −0.496784 0.0303334i
\(238\) −4096.67 107082.i −0.00468801 0.122539i
\(239\) −227607. 394226.i −0.257745 0.446427i 0.707893 0.706320i \(-0.249646\pi\)
−0.965637 + 0.259893i \(0.916313\pi\)
\(240\) 2627.06 242.294i 0.00294402 0.000271528i
\(241\) 134036. 232158.i 0.148655 0.257478i −0.782075 0.623184i \(-0.785839\pi\)
0.930731 + 0.365705i \(0.119172\pi\)
\(242\) 1.36780e6 + 721438.i 1.50136 + 0.791883i
\(243\) −622218. 678332.i −0.675969 0.736930i
\(244\) −801388. 1.17120e6i −0.861724 1.25937i
\(245\) −4676.14 2699.77i −0.00497705 0.00287350i
\(246\) 7285.46 320251.i 0.00767572 0.337406i
\(247\) 175500. 101325.i 0.183036 0.105676i
\(248\) −149754. 201845.i −0.154614 0.208395i
\(249\) 93329.6 1.52850e6i 0.0953940 1.56231i
\(250\) 3112.97 + 4945.06i 0.00315011 + 0.00500405i
\(251\) 1.05745e6 1.05944 0.529719 0.848173i \(-0.322298\pi\)
0.529719 + 0.848173i \(0.322298\pi\)
\(252\) −78655.7 + 1.72786e6i −0.0780242 + 1.71399i
\(253\) 1.74950e6 1.71835
\(254\) −648445. 1.03008e6i −0.630651 1.00181i
\(255\) 182.980 + 121.085i 0.000176219 + 0.000116611i
\(256\) −226467. + 1.02383e6i −0.215976 + 0.976399i
\(257\) 18796.2 10852.0i 0.0177516 0.0102489i −0.491098 0.871104i \(-0.663404\pi\)
0.508850 + 0.860855i \(0.330071\pi\)
\(258\) 216531. 118531.i 0.202521 0.110862i
\(259\) −848497. 489880.i −0.785961 0.453775i
\(260\) −383.226 + 262.222i −0.000351578 + 0.000240567i
\(261\) 345449. 146718.i 0.313894 0.133316i
\(262\) −1.23307e6 650375.i −1.10977 0.585343i
\(263\) −1.03830e6 + 1.79839e6i −0.925622 + 1.60322i −0.135063 + 0.990837i \(0.543124\pi\)
−0.790558 + 0.612387i \(0.790210\pi\)
\(264\) 1.85719e6 99885.8i 1.64001 0.0882051i
\(265\) −1250.69 2166.25i −0.00109404 0.00189493i
\(266\) −111027. 2.90212e6i −0.0962108 2.51485i
\(267\) −133426. 267543.i −0.114541 0.229675i
\(268\) −85784.4 1.11951e6i −0.0729577 0.952123i
\(269\) 175156.i 0.147585i 0.997274 + 0.0737927i \(0.0235103\pi\)
−0.997274 + 0.0737927i \(0.976490\pi\)
\(270\) −2779.63 2194.55i −0.00232048 0.00183204i
\(271\) 926017.i 0.765942i −0.923760 0.382971i \(-0.874901\pi\)
0.923760 0.382971i \(-0.125099\pi\)
\(272\) −67999.6 + 54602.0i −0.0557293 + 0.0447493i
\(273\) −135867. 272437.i −0.110333 0.221238i
\(274\) −1.18960e6 + 45510.6i −0.957246 + 0.0366215i
\(275\) 1.02984e6 + 1.78374e6i 0.821181 + 1.42233i
\(276\) 1.13629e6 679722.i 0.897873 0.537104i
\(277\) −561144. + 971930.i −0.439415 + 0.761089i −0.997644 0.0685974i \(-0.978148\pi\)
0.558229 + 0.829687i \(0.311481\pi\)
\(278\) 749760. 1.42150e6i 0.581849 1.10315i
\(279\) −41048.3 + 334881.i −0.0315708 + 0.257561i
\(280\) 761.731 + 6611.03i 0.000580640 + 0.00503934i
\(281\) 1.74330e6 + 1.00650e6i 1.31707 + 0.760408i 0.983255 0.182233i \(-0.0583324\pi\)
0.333810 + 0.942641i \(0.391666\pi\)
\(282\) −421195. 769431.i −0.315399 0.576165i
\(283\) 28134.7 16243.6i 0.0208822 0.0120563i −0.489523 0.871991i \(-0.662829\pi\)
0.510405 + 0.859934i \(0.329496\pi\)
\(284\) 83046.7 173191.i 0.0610980 0.127417i
\(285\) 4959.08 + 3281.61i 0.00361650 + 0.00239318i
\(286\) −277034. + 174396.i −0.200271 + 0.126073i
\(287\) 808029. 0.579058
\(288\) 1.16742e6 786437.i 0.829366 0.558705i
\(289\) 1.41260e6 0.994892
\(290\) 1222.03 769.284i 0.000853273 0.000537146i
\(291\) −18425.8 + 301768.i −0.0127554 + 0.208901i
\(292\) 455241. 949387.i 0.312452 0.651607i
\(293\) −1.69871e6 + 980754.i −1.15598 + 0.667407i −0.950338 0.311220i \(-0.899263\pi\)
−0.205645 + 0.978627i \(0.565929\pi\)
\(294\) −2.88016e6 65521.4i −1.94334 0.0442094i
\(295\) −4931.90 2847.43i −0.00329958 0.00190502i
\(296\) 91266.5 + 792098.i 0.0605455 + 0.525472i
\(297\) −1.89899e6 1.62088e6i −1.24920 1.06625i
\(298\) −782015. + 1.48265e6i −0.510122 + 0.967161i
\(299\) −116525. + 201828.i −0.0753776 + 0.130558i
\(300\) 1.36190e6 + 758408.i 0.873660 + 0.486519i
\(301\) 311335. + 539249.i 0.198067 + 0.343062i
\(302\) 2.48875e6 95212.4i 1.57023 0.0600725i
\(303\) −327754. 20012.5i −0.205089 0.0125226i
\(304\) −1.84291e6 + 1.47981e6i −1.14372 + 0.918379i
\(305\) 7329.54i 0.00451157i
\(306\) 116658. + 9790.59i 0.0712217 + 0.00597730i
\(307\) 2.30255e6i 1.39432i 0.716915 + 0.697160i \(0.245553\pi\)
−0.716915 + 0.697160i \(0.754447\pi\)
\(308\) 358438. + 4.67773e6i 0.215297 + 2.80969i
\(309\) 1.08411e6 1.63828e6i 0.645918 0.976093i
\(310\) 49.6247 + 1297.13i 2.93287e−5 + 0.000766621i
\(311\) −900581. 1.55985e6i −0.527985 0.914498i −0.999468 0.0326220i \(-0.989614\pi\)
0.471482 0.881875i \(1.65628\pi\)
\(312\) −112175. + 220904.i −0.0652392 + 0.128475i
\(313\) −1.06851e6 + 1.85072e6i −0.616480 + 1.06777i 0.373643 + 0.927573i \(0.378109\pi\)
−0.990123 + 0.140202i \(0.955225\pi\)
\(314\) −204467. 107845.i −0.117030 0.0617269i
\(315\) 5374.76 7135.59i 0.00305198 0.00405185i
\(316\) −729124. + 498902.i −0.410756 + 0.281059i
\(317\) −2.21433e6 1.27844e6i −1.23764 0.714551i −0.269027 0.963133i \(-0.586702\pi\)
−0.968611 + 0.248582i \(0.920035\pi\)
\(318\) −1.14032e6 693413.i −0.632353 0.384525i
\(319\) 881606. 508995.i 0.485063 0.280051i
\(320\) 3951.41 3703.55i 0.00215714 0.00202182i
\(321\) −2.06350e6 + 1.02909e6i −1.11774 + 0.557430i
\(322\) 1.77931e6 + 2.82650e6i 0.956341 + 1.51918i
\(323\) −196569. −0.104836
\(324\) −1.86314e6 314947.i −0.986012 0.166677i
\(325\) −274371. −0.144089
\(326\) −983790. 1.56278e6i −0.512694 0.814432i
\(327\) 1.69032e6 842980.i 0.874178 0.435961i
\(328\) −391815. 528105.i −0.201093 0.271041i
\(329\) 1.91619e6 1.10631e6i 0.975999 0.563493i
\(330\) −8207.57 4990.91i −0.00414887 0.00252287i
\(331\) −1.38965e6 802314.i −0.697164 0.402508i 0.109126 0.994028i \(-0.465195\pi\)
−0.806290 + 0.591520i \(0.798528\pi\)
\(332\) −1.77518e6 2.59436e6i −0.883889 1.29177i
\(333\) 643974. 854948.i 0.318242 0.422502i
\(334\) 2.32300e6 + 1.22525e6i 1.13942 + 0.600979i
\(335\) −2899.52 + 5022.12i −0.00141161 + 0.00244498i
\(336\) 2.05022e6 + 2.89889e6i 0.990721 + 1.40083i
\(337\) 840067. + 1.45504e6i 0.402939 + 0.697911i 0.994079 0.108658i \(-0.0346554\pi\)
−0.591140 + 0.806569i \(0.701322\pi\)
\(338\) 78627.6 + 2.05524e6i 0.0374355 + 0.978522i
\(339\) 1.02157e6 1.54376e6i 0.482799 0.729593i
\(340\) 449.100 34.4129i 0.000210691 1.61445e-5i
\(341\) 915117.i 0.426177i
\(342\) 3.16165e6 + 265342.i 1.46167 + 0.122671i
\(343\) 3.52851e6i 1.61941i
\(344\) 201470. 464963.i 0.0917942 0.211847i
\(345\) −6825.89 416.785i −0.00308753 0.000188523i
\(346\) −2.32915e6 + 89106.6i −1.04594 + 0.0400147i
\(347\) 752957. + 1.30416e6i 0.335696 + 0.581443i 0.983618 0.180264i \(-0.0576951\pi\)
−0.647922 + 0.761707i \(0.724362\pi\)
\(348\) 374840. 673114.i 0.165920 0.297948i
\(349\) 1.76659e6 3.05983e6i 0.776377 1.34473i −0.157640 0.987497i \(-0.550388\pi\)
0.934017 0.357228i \(-0.116278\pi\)
\(350\) −1.83443e6 + 3.47796e6i −0.800443 + 1.51759i
\(351\) 313473. 111115.i 0.135810 0.0481400i
\(352\) 2.88342e6 2.50251e6i 1.24037 1.07651i
\(353\) −83593.0 48262.4i −0.0357053 0.0206145i 0.482041 0.876149i \(-0.339896\pi\)
−0.517746 + 0.855534i \(0.673229\pi\)
\(354\) −3.03769e6 69105.1i −1.28836 0.0293091i
\(355\) −859.115 + 496.010i −0.000361810 + 0.000208891i
\(356\) −553389. 265356.i −0.231422 0.110969i
\(357\) −17997.4 + 294752.i −0.00747375 + 0.122401i
\(358\) 437654. 275509.i 0.180478 0.113613i
\(359\) −1.43721e6 −0.588552 −0.294276 0.955720i \(-0.595078\pi\)
−0.294276 + 0.955720i \(0.595078\pi\)
\(360\) −7269.85 52.7228i −0.00295644 2.14409e-5i
\(361\) −2.85126e6 −1.15151
\(362\) 3.37726e6 2.12603e6i 1.35454 0.852702i
\(363\) −3.55375e6 2.35165e6i −1.41553 0.936712i
\(364\) −563513. 270210.i −0.222921 0.106893i
\(365\) −4709.44 + 2719.00i −0.00185028 + 0.00106826i
\(366\) 1.87780e6 + 3.43032e6i 0.732733 + 1.33854i
\(367\) 2.46407e6 + 1.42263e6i 0.954968 + 0.551351i 0.894621 0.446827i \(-0.147446\pi\)
0.0603472 + 0.998177i \(0.480779\pi\)
\(368\) 984525. 2.53348e6i 0.378972 0.975211i
\(369\) −107398. + 876179.i −0.0410612 + 0.334986i
\(370\) 1921.21 3642.50i 0.000729576 0.00138323i
\(371\) 1.68324e6 2.91545e6i 0.634907 1.09969i
\(372\) 355545. + 594362.i 0.133210 + 0.222686i
\(373\) −1.92380e6 3.33212e6i −0.715959 1.24008i −0.962589 0.270967i \(-0.912657\pi\)
0.246630 0.969110i \(-0.420677\pi\)
\(374\) 317300. 12139.0i 0.117298 0.00448749i
\(375\) −7186.27 14409.7i −0.00263892 0.00529149i
\(376\) −1.65222e6 715915.i −0.602697 0.261151i
\(377\) 135607.i 0.0491391i
\(378\) 687348. 4.71654e6i 0.247427 1.69783i
\(379\) 1.26215e6i 0.451351i 0.974202 + 0.225676i \(0.0724589\pi\)
−0.974202 + 0.225676i \(0.927541\pi\)
\(380\) 12171.4 932.650i 0.00432396 0.000331329i
\(381\) 1.49693e6 + 3.00160e6i 0.528310 + 1.05935i
\(382\) −28163.1 736152.i −0.00987464 0.258113i
\(383\) −819424. 1.41928e6i −0.285438 0.494393i 0.687277 0.726395i \(-0.258806\pi\)
−0.972715 + 0.232002i \(0.925472\pi\)
\(384\) 900480. 2.74564e6i 0.311635 0.950202i
\(385\) 12115.2 20984.2i 0.00416563 0.00721508i
\(386\) 2.29359e6 + 1.20974e6i 0.783516 + 0.413260i
\(387\) −626110. + 265920.i −0.212507 + 0.0902554i
\(388\) 350469. + 512196.i 0.118187 + 0.172726i
\(389\) 2.12915e6 + 1.22927e6i 0.713400 + 0.411881i 0.812318 0.583214i \(-0.198205\pi\)
−0.0989190 + 0.995095i \(0.531538\pi\)
\(390\) 1122.43 614.433i 0.000373679 0.000204556i
\(391\) 195771. 113028.i 0.0647599 0.0373891i
\(392\) −4.74948e6 + 3.52377e6i −1.56110 + 1.15822i
\(393\) 3.20369e6 + 2.12001e6i 1.04633 + 0.692398i
\(394\) −1.46087e6 2.32064e6i −0.474102 0.753126i
\(395\) 4562.99 0.00147149
\(396\) −5.11990e6 233068.i −1.64068 0.0746869i
\(397\) 176766. 0.0562890 0.0281445 0.999604i \(-0.491040\pi\)
0.0281445 + 0.999604i \(0.491040\pi\)
\(398\) −1.85760e6 2.95086e6i −0.587821 0.933772i
\(399\) −487760. + 7.98828e6i −0.153382 + 2.51201i
\(400\) 3.16261e6 487542.i 0.988317 0.152357i
\(401\) −3.74356e6 + 2.16134e6i −1.16258 + 0.671217i −0.951921 0.306342i \(-0.900895\pi\)
−0.210661 + 0.977559i \(0.567562\pi\)
\(402\) −70369.4 + 3.09326e6i −0.0217179 + 0.954667i
\(403\) −105571. 60951.4i −0.0323804 0.0186948i
\(404\) −556303. + 380649.i −0.169573 + 0.116030i
\(405\) 7023.03 + 6776.49i 0.00212759 + 0.00205290i
\(406\) 1.71897e6 + 906658.i 0.517551 + 0.272979i
\(407\) 1.45158e6 2.51422e6i 0.434366 0.752344i
\(408\) 201368. 131163.i 0.0598881 0.0390087i
\(409\) 205225. + 355461.i 0.0606629 + 0.105071i 0.894762 0.446544i \(-0.147345\pi\)
−0.834099 + 0.551615i \(0.814012\pi\)
\(410\) 129.837 + 3393.81i 3.81453e−5 + 0.000997076i
\(411\) 3.27444e6 + 199936.i 0.956165 + 0.0583830i
\(412\) −308110. 4.02093e6i −0.0894257 1.16703i
\(413\) 7.66444e6i 2.21108i
\(414\) −3.30138e6 + 1.55370e6i −0.946662 + 0.445519i
\(415\) 16235.9i 0.00462761i
\(416\) 96646.9 + 499321.i 0.0273813 + 0.141464i
\(417\) −2.44397e6 + 3.69326e6i −0.688265 + 1.04009i
\(418\) 8.59939e6 328988.i 2.40728 0.0920957i
\(419\) 1.14156e6 + 1.97723e6i 0.317660 + 0.550203i 0.979999 0.199001i \(-0.0637697\pi\)
−0.662340 + 0.749204i \(0.730436\pi\)
\(420\) −284.108 18336.2i −7.85888e−5 0.00507208i
\(421\) 586612. 1.01604e6i 0.161304 0.279387i −0.774032 0.633146i \(-0.781763\pi\)
0.935337 + 0.353759i \(0.115097\pi\)
\(422\) −1.18336e6 + 2.24357e6i −0.323471 + 0.613281i
\(423\) 944933. + 2.22485e6i 0.256773 + 0.604575i
\(424\) −2.72166e6 + 313593.i −0.735223 + 0.0847133i
\(425\) 230481. + 133068.i 0.0618961 + 0.0357357i
\(426\) −275001. + 452241.i −0.0734194 + 0.120738i
\(427\) −8.54288e6 + 4.93223e6i −2.26743 + 1.30910i
\(428\) −2.04664e6 + 4.26818e6i −0.540046 + 1.12625i
\(429\) 807268. 402593.i 0.211775 0.105614i
\(430\) −2214.88 + 1394.29i −0.000577668 + 0.000363649i
\(431\) −6.84835e6 −1.77579 −0.887897 0.460042i \(-0.847834\pi\)
−0.887897 + 0.460042i \(0.847834\pi\)
\(432\) −3.41589e6 + 1.83783e6i −0.880632 + 0.473800i
\(433\) −1.99773e6 −0.512054 −0.256027 0.966670i \(-0.582414\pi\)
−0.256027 + 0.966670i \(0.582414\pi\)
\(434\) −1.47847e6 + 930714.i −0.376780 + 0.237188i
\(435\) −3560.96 + 1775.89i −0.000902286 + 0.000449979i
\(436\) 1.67651e6 3.49629e6i 0.422366 0.880828i
\(437\) 5.30573e6 3.06326e6i 1.32905 0.767328i
\(438\) −1.50749e6 + 2.47906e6i −0.375464 + 0.617451i
\(439\) 4.92061e6 + 2.84091e6i 1.21859 + 0.703553i 0.964616 0.263659i \(-0.0849292\pi\)
0.253973 + 0.967211i \(0.418263\pi\)
\(440\) −19589.4 + 2257.12i −0.00482380 + 0.000555805i
\(441\) 7.87987e6 + 965883.i 1.92940 + 0.236498i
\(442\) −19733.4 + 37413.3i −0.00480448 + 0.00910900i
\(443\) −1.18053e6 + 2.04473e6i −0.285803 + 0.495025i −0.972804 0.231632i \(-0.925594\pi\)
0.687001 + 0.726657i \(0.258927\pi\)
\(444\) −34040.3 2.19694e6i −0.00819476 0.528885i
\(445\) 1584.88 + 2745.09i 0.000379399 + 0.000657139i
\(446\) 313513. 11994.1i 0.0746310 0.00285517i
\(447\) 2.54911e6 3.85214e6i 0.603420 0.911872i
\(448\) 6.97564e6 + 2.11332e6i 1.64206 + 0.497474i
\(449\) 1.40173e6i 0.328132i 0.986449 + 0.164066i \(0.0524610\pi\)
−0.986449 + 0.164066i \(0.947539\pi\)
\(450\) −3.52747e6 2.45141e6i −0.821169 0.570670i
\(451\) 2.39430e6i 0.554291i
\(452\) −290334. 3.78896e6i −0.0668424 0.872315i
\(453\) −6.85044e6 418285.i −1.56846 0.0957693i
\(454\) 133827. + 3.49809e6i 0.0304722 + 0.796510i
\(455\) 1613.87 + 2795.31i 0.000365461 + 0.000632997i
\(456\) 5.45743e6 3.55475e6i 1.22907 0.800565i
\(457\) 431178. 746822.i 0.0965753 0.167273i −0.813690 0.581300i \(-0.802544\pi\)
0.910265 + 0.414026i \(0.135878\pi\)
\(458\) −790492. 416940.i −0.176090 0.0928773i
\(459\) −317219. 58691.9i −0.0702793 0.0130031i
\(460\) −11585.7 + 7927.49i −0.00255286 + 0.00174679i
\(461\) 3.31136e6 + 1.91182e6i 0.725696 + 0.418981i 0.816845 0.576857i \(-0.195721\pi\)
−0.0911497 + 0.995837i \(0.529054\pi\)
\(462\) 294028. 1.29248e7i 0.0640891 2.81720i
\(463\) 1.52485e6 880372.i 0.330578 0.190860i −0.325519 0.945535i \(-0.605539\pi\)
0.656098 + 0.754676i \(0.272206\pi\)
\(464\) −240966. 1.56311e6i −0.0519589 0.337050i
\(465\) 218.010 3570.45i 4.67567e−5 0.000765756i
\(466\) −2.48448e6 3.94667e6i −0.529993 0.841911i
\(467\) 3.33201e6 0.706991 0.353496 0.935436i \(-0.384993\pi\)
0.353496 + 0.935436i \(0.384993\pi\)
\(468\) 367898. 575125.i 0.0776450 0.121380i
\(469\) −7.80465e6 −1.63841
\(470\) 4954.55 + 7870.46i 0.00103457 + 0.00164345i
\(471\) 531234. + 351538.i 0.110340 + 0.0730163i
\(472\) −5.00926e6 + 3.71650e6i −1.03495 + 0.767855i
\(473\) −1.59787e6 + 922530.i −0.328389 + 0.189595i
\(474\) 2.13554e6 1.16902e6i 0.436577 0.238987i
\(475\) 6.24644e6 + 3.60639e6i 1.27028 + 0.733395i
\(476\) 342320. + 500287.i 0.0692493 + 0.101205i
\(477\) 2.93761e6 + 2.21270e6i 0.591151 + 0.445274i
\(478\) 2.27767e6 + 1.20134e6i 0.455954 + 0.240490i
\(479\) −287756. + 498407.i −0.0573040 + 0.0992535i −0.893254 0.449552i \(-0.851584\pi\)
0.835950 + 0.548805i \(0.184917\pi\)
\(480\) −11846.2 + 9076.94i −0.00234681 + 0.00179819i
\(481\) 193366. + 334919.i 0.0381080 + 0.0660050i
\(482\) 57972.6 + 1.51534e6i 0.0113659 + 0.297093i
\(483\) −4.10753e6 8.23631e6i −0.801149 1.60644i
\(484\) −8.72220e6 + 668351.i −1.69244 + 0.129685i
\(485\) 3205.41i 0.000618770i
\(486\) 5.02297e6 + 1.37221e6i 0.964651 + 0.263531i
\(487\) 8.10529e6i 1.54863i −0.632803 0.774313i \(-0.718096\pi\)
0.632803 0.774313i \(-0.281904\pi\)
\(488\) 7.36603e6 + 3.19173e6i 1.40018 + 0.606704i
\(489\) 2.27107e6 + 4.55389e6i 0.429496 + 0.861213i
\(490\) 30522.1 1167.69i 0.00574280 0.000219703i
\(491\) −747070. 1.29396e6i −0.139848 0.242225i 0.787591 0.616199i \(-0.211328\pi\)
−0.927439 + 0.373974i \(0.877995\pi\)
\(492\) 930245. + 1.55508e6i 0.173254 + 0.289628i
\(493\) 65768.5 113914.i 0.0121871 0.0211087i
\(494\) −534810. + 1.01397e6i −0.0986012 + 0.186942i
\(495\) 21143.8 + 15926.2i 0.00387855 + 0.00292145i
\(496\) 1.32520e6 + 514980.i 0.241868 + 0.0939910i
\(497\) −1.15624e6 667555.i −0.209970 0.121226i
\(498\) 4.15957e6 + 7.59862e6i 0.751580 + 1.37297i
\(499\) −2.62531e6 + 1.51572e6i −0.471985 + 0.272501i −0.717070 0.697001i \(-0.754517\pi\)
0.245085 + 0.969502i \(0.421184\pi\)
\(500\) −29805.3 14291.9i −0.00533173 0.00255662i
\(501\) −6.03549e6 3.99392e6i −1.07428 0.710893i
\(502\) −5.06230e6 + 3.18678e6i −0.896578 + 0.564407i
\(503\) −7.87121e6 −1.38714 −0.693572 0.720388i \(-0.743964\pi\)
−0.693572 + 0.720388i \(0.743964\pi\)
\(504\) −4.83061e6 8.50878e6i −0.847083 1.49208i
\(505\) 3481.44 0.000607478
\(506\) −8.37531e6 + 5.27236e6i −1.45420 + 0.915437i
\(507\) 345425. 5.65718e6i 0.0596806 0.977418i
\(508\) 6.20856e6 + 2.97707e6i 1.06741 + 0.511835i
\(509\) 5.38888e6 3.11127e6i 0.921942 0.532284i 0.0376882 0.999290i \(-0.488001\pi\)
0.884254 + 0.467006i \(0.154667\pi\)
\(510\) −1240.88 28.2291i −0.000211254 4.80586e-6i
\(511\) −6.33821e6 3.65936e6i −1.07378 0.619945i
\(512\) −2.00130e6 5.58383e6i −0.337393 0.941364i
\(513\) −8.59719e6 1.59065e6i −1.44232 0.266859i
\(514\) −57278.4 + 108596.i −0.00956275 + 0.0181304i
\(515\) −10414.1 + 18037.8i −0.00173024 + 0.00299686i
\(516\) −679380. + 1.21999e6i −0.112328 + 0.201712i
\(517\) 3.27816e6 + 5.67795e6i 0.539392 + 0.934254i
\(518\) 5.53831e6 211880.i 0.906886 0.0346949i
\(519\) 6.41114e6 + 391461.i 1.04476 + 0.0637926i
\(520\) 1044.36 2410.23i 0.000169373 0.000390887i
\(521\) 636052.i 0.102659i −0.998682 0.0513296i \(-0.983654\pi\)
0.998682 0.0513296i \(-0.0163459\pi\)
\(522\) −1.21160e6 + 1.74344e6i −0.194618 + 0.280047i
\(523\) 5.87088e6i 0.938531i −0.883057 0.469266i \(-0.844519\pi\)
0.883057 0.469266i \(-0.155481\pi\)
\(524\) 7.86304e6 602517.i 1.25101 0.0958607i
\(525\) 5.97962e6 9.03624e6i 0.946838 1.43083i
\(526\) −449079. 1.17384e7i −0.0707715 1.84989i
\(527\) 59122.2 + 102403.i 0.00927309 + 0.0160615i
\(528\) −8.58983e6 + 6.07507e6i −1.34091 + 0.948346i
\(529\) −304621. + 527619.i −0.0473283 + 0.0819749i
\(530\) 12515.7 + 6601.31i 0.00193537 + 0.00102080i
\(531\) 8.31086e6 + 1.01871e6i 1.27911 + 0.156789i
\(532\) 9.27748e6 + 1.35586e7i 1.42119 + 2.07700i
\(533\) −276215. 159473.i −0.0421142 0.0243147i
\(534\) 1.44502e6 + 878700.i 0.219292 + 0.133348i
\(535\) 21172.4 12223.9i 0.00319805 0.00184639i
\(536\) 3.78449e6 + 5.10090e6i 0.568978 + 0.766893i
\(537\) −1.27531e6 + 636009.i −0.190845 + 0.0951761i
\(538\) −527857. 838518.i −0.0786250 0.124898i
\(539\) 2.15330e7 3.19252
\(540\) 19920.4 + 2129.07i 0.00293978 + 0.000314199i
\(541\) 2.16059e6 0.317380 0.158690 0.987328i \(-0.449273\pi\)
0.158690 + 0.987328i \(0.449273\pi\)
\(542\) 2.79068e6 + 4.43309e6i 0.408049 + 0.648199i
\(543\) −9.84121e6 + 4.90791e6i −1.43235 + 0.714327i
\(544\) 160981. 466321.i 0.0233227 0.0675597i
\(545\) −17343.4 + 10013.2i −0.00250117 + 0.00144405i
\(546\) 1.47146e6 + 894774.i 0.211235 + 0.128449i
\(547\) −6.31053e6 3.64339e6i −0.901774 0.520639i −0.0239984 0.999712i \(-0.507640\pi\)
−0.877775 + 0.479073i \(0.840973\pi\)
\(548\) 5.55777e6 3.80289e6i 0.790586 0.540957i
\(549\) −4.21275e6 9.91895e6i −0.596534 1.40454i
\(550\) −1.03057e7 5.43566e6i −1.45268 0.766206i
\(551\) 1.78244e6 3.08728e6i 0.250113 0.433209i
\(552\) −3.39127e6 + 6.67837e6i −0.473712 + 0.932874i
\(553\) 3.07055e6 + 5.31834e6i 0.426976 + 0.739543i
\(554\) −242702. 6.34398e6i −0.0335969 0.878188i
\(555\) −6262.51 + 9463.73i −0.000863010 + 0.00130416i
\(556\) 694589. + 9.06461e6i 0.0952885 + 1.24355i
\(557\) 296984.i 0.0405598i 0.999794 + 0.0202799i \(0.00645573\pi\)
−0.999794 + 0.0202799i \(0.993544\pi\)
\(558\) −812701. 1.72687e6i −0.110496 0.234787i
\(559\) 245781.i 0.0332674i
\(560\) −23569.9 29353.2i −0.00317605 0.00395535i
\(561\) −873390. 53328.7i −0.117166 0.00715409i
\(562\) −1.13789e7 + 435324.i −1.51970 + 0.0581395i
\(563\) −345248. 597988.i −0.0459051 0.0795099i 0.842160 0.539228i \(-0.181284\pi\)
−0.888065 + 0.459718i \(0.847951\pi\)
\(564\) 4.33517e6 + 2.41414e6i 0.573863 + 0.319569i
\(565\) −9813.33 + 16997.2i −0.00129329 + 0.00224004i
\(566\) −85736.1 + 162550.i −0.0112492 + 0.0213278i
\(567\) −3.17229e6 + 1.27457e7i −0.414396 + 1.66497i
\(568\) 124368. + 1.07938e6i 0.0161748 + 0.140380i
\(569\) −3.83851e6 2.21616e6i −0.497029 0.286960i 0.230457 0.973083i \(-0.425978\pi\)
−0.727486 + 0.686123i \(0.759311\pi\)
\(570\) −33630.0 765.057i −0.00433551 9.86295e-5i
\(571\) −4.13165e6 + 2.38541e6i −0.530314 + 0.306177i −0.741144 0.671346i \(-0.765717\pi\)
0.210831 + 0.977523i \(0.432383\pi\)
\(572\) 800670. 1.66977e6i 0.102321 0.213386i
\(573\) −123725. + 2.02631e6i −0.0157424 + 0.257821i
\(574\) −3.86825e6 + 2.43511e6i −0.490044 + 0.308489i
\(575\) −8.29478e6 −1.04625
\(576\) −3.21872e6 + 7.28308e6i −0.404229 + 0.914658i
\(577\) −2.33515e6 −0.291995 −0.145998 0.989285i \(-0.546639\pi\)
−0.145998 + 0.989285i \(0.546639\pi\)
\(578\) −6.76252e6 + 4.25708e6i −0.841955 + 0.530021i
\(579\) −5.95908e6 3.94335e6i −0.738725 0.488842i
\(580\) −3531.85 + 7365.54i −0.000435946 + 0.000909149i
\(581\) −1.89236e7 + 1.09256e7i −2.32575 + 1.34278i
\(582\) −821211. 1.50017e6i −0.100496 0.183584i
\(583\) 8.63888e6 + 4.98766e6i 1.05266 + 0.607751i
\(584\) 681753. + 5.91690e6i 0.0827171 + 0.717897i
\(585\) −3245.57 + 1378.45i −0.000392105 + 0.000166534i
\(586\) 5.17657e6 9.81445e6i 0.622727 1.18065i
\(587\) −3.03042e6 + 5.24884e6i −0.363001 + 0.628736i −0.988453 0.151526i \(-0.951581\pi\)
0.625452 + 0.780262i \(0.284914\pi\)
\(588\) 1.39856e7 8.36611e6i 1.66816 0.997884i
\(589\) 1.60232e6 + 2.77529e6i 0.190309 + 0.329625i
\(590\) 32191.5 1231.55i 0.00380725 0.000145654i
\(591\) 3.37241e6 + 6.76227e6i 0.397166 + 0.796386i
\(592\) −2.82402e6 3.51694e6i −0.331179 0.412440i
\(593\) 1.50413e7i 1.75650i 0.478204 + 0.878249i \(0.341288\pi\)
−0.478204 + 0.878249i \(0.658712\pi\)
\(594\) 1.39758e7 + 2.03671e6i 1.62521 + 0.236844i
\(595\) 3130.88i 0.000362555i
\(596\) −724470. 9.45457e6i −0.0835420 1.09025i
\(597\) 4.28826e6 + 8.59870e6i 0.492431 + 0.987409i
\(598\) −50398.8 1.31737e6i −0.00576324 0.150645i
\(599\) 5.82159e6 + 1.00833e7i 0.662941 + 1.14825i 0.979839 + 0.199788i \(0.0640253\pi\)
−0.316898 + 0.948460i \(0.602641\pi\)
\(600\) −8.80536e6 + 473582.i −0.998548 + 0.0537053i
\(601\) 5.34600e6 9.25955e6i 0.603730 1.04569i −0.388520 0.921440i \(-0.627014\pi\)
0.992251 0.124252i \(-0.0396530\pi\)
\(602\) −3.11555e6 1.64328e6i −0.350383 0.184807i
\(603\) 1.03735e6 8.46290e6i 0.116180 0.947820i
\(604\) −1.16274e7 + 7.95601e6i −1.29685 + 0.887366i
\(605\) 39127.6 + 22590.4i 0.00434606 + 0.00250920i
\(606\) 1.62936e6 891929.i 0.180233 0.0986617i
\(607\) 1.36860e7 7.90159e6i 1.50766 0.870448i 0.507700 0.861534i \(-0.330496\pi\)
0.999960 0.00891441i \(-0.00283758\pi\)
\(608\) 4.36288e6 1.26381e7i 0.478645 1.38651i
\(609\) −4.46613e6 2.95540e6i −0.487964 0.322904i
\(610\) −22088.6 35088.5i −0.00240350 0.00381804i
\(611\) −873369. −0.0946444
\(612\) −587980. + 304697.i −0.0634577 + 0.0328843i
\(613\) 1.38482e7 1.48848 0.744240 0.667912i \(-0.232812\pi\)
0.744240 + 0.667912i \(0.232812\pi\)
\(614\) −6.93906e6 1.10229e7i −0.742813 1.17998i
\(615\) 570.399 9341.69i 6.08122e−5 0.000995950i
\(616\) −1.58130e7 2.13134e7i −1.67904 2.26308i
\(617\) 9.84163e6 5.68207e6i 1.04077 0.600888i 0.120718 0.992687i \(-0.461480\pi\)
0.920051 + 0.391799i \(0.128147\pi\)
\(618\) −252744. + 1.11100e7i −0.0266201 + 1.17015i
\(619\) 5.57020e6 + 3.21595e6i 0.584311 + 0.337352i 0.762845 0.646582i \(-0.223802\pi\)
−0.178534 + 0.983934i \(0.557135\pi\)
\(620\) −4146.67 6060.18i −0.000433232 0.000633150i
\(621\) 9.47692e6 3.35924e6i 0.986139 0.349552i
\(622\) 9.01216e6 + 4.75340e6i 0.934013 + 0.492639i
\(623\) −2.13301e6 + 3.69448e6i −0.220177 + 0.381359i
\(624\) −128715. 1.39558e6i −0.0132333 0.143481i
\(625\) −4.88268e6 8.45706e6i −0.499987 0.866003i
\(626\) −462147. 1.20800e7i −0.0471350 1.23206i
\(627\) −2.36704e7 1.44530e6i −2.40457 0.146822i
\(628\) 1.30384e6 99908.9i 0.131925 0.0101089i
\(629\) 375125.i 0.0378050i
\(630\) −4226.28 + 50357.6i −0.000424235 + 0.00505491i
\(631\) 189565.i 0.0189533i −0.999955 0.00947664i \(-0.996983\pi\)
0.999955 0.00947664i \(-0.00301655\pi\)
\(632\) 1.98700e6 4.58570e6i 0.197882 0.456681i
\(633\) 3.85735e6 5.82913e6i 0.382631 0.578221i
\(634\) 1.44534e7 552944.i 1.42806 0.0546333i
\(635\) −17781.0 30797.6i −0.00174994 0.00303098i
\(636\) 7.54872e6 116963.i 0.739998 0.0114658i
\(637\) −1.43421e6 + 2.48412e6i −0.140044 + 0.242563i
\(638\) −2.68655e6 + 5.09354e6i −0.261303 + 0.495414i
\(639\) 877538. 1.16503e6i 0.0850186 0.112872i
\(640\) −7755.31 + 29638.0i −0.000748427 + 0.00286022i
\(641\) −1.05418e6 608632.i −0.101338 0.0585073i 0.448475 0.893796i \(-0.351967\pi\)
−0.549812 + 0.835288i \(0.685301\pi\)
\(642\) 6.77724e6 1.11452e7i 0.648956 1.06721i
\(643\) −1.05398e7 + 6.08518e6i −1.00532 + 0.580424i −0.909819 0.415005i \(-0.863780\pi\)
−0.0955052 + 0.995429i \(0.530447\pi\)
\(644\) −1.70361e7 8.16899e6i −1.61866 0.776164i
\(645\) 6454.07 3218.71i 0.000610850 0.000304637i
\(646\) 941028. 592388.i 0.0887200 0.0558503i
\(647\) −3.77606e6 −0.354632 −0.177316 0.984154i \(-0.556741\pi\)
−0.177316 + 0.984154i \(0.556741\pi\)
\(648\) 9.86847e6 4.10709e6i 0.923235 0.384235i
\(649\) 2.27108e7 2.11651
\(650\) 1.31349e6 826856.i 0.121939 0.0767620i
\(651\) 4.30821e6 2.14855e6i 0.398423 0.198697i
\(652\) 9.41934e6 + 4.51667e6i 0.867764 + 0.416102i
\(653\) −2.34130e6 + 1.35175e6i −0.214869 + 0.124055i −0.603572 0.797308i \(-0.706256\pi\)
0.388703 + 0.921363i \(0.372923\pi\)
\(654\) −5.55159e6 + 9.12960e6i −0.507543 + 0.834656i
\(655\) −35273.5 20365.1i −0.00321251 0.00185474i
\(656\) 3.46724e6 + 1.34739e6i 0.314575 + 0.122246i
\(657\) 4.81043e6 6.38639e6i 0.434781 0.577221i
\(658\) −5.83930e6 + 1.10709e7i −0.525770 + 0.996828i
\(659\) −2.57880e6 + 4.46661e6i −0.231315 + 0.400649i −0.958195 0.286115i \(-0.907636\pi\)
0.726880 + 0.686764i \(0.240969\pi\)
\(660\) 54332.7 841.853i 0.00485513 7.52274e-5i
\(661\) −2.13265e6 3.69386e6i −0.189853 0.328834i 0.755348 0.655324i \(-0.227468\pi\)
−0.945201 + 0.326489i \(0.894134\pi\)
\(662\) 9.07051e6 347012.i 0.804428 0.0307751i
\(663\) 64324.4 97205.2i 0.00568318 0.00858827i
\(664\) 1.63167e7 + 7.07011e6i 1.43619 + 0.622309i
\(665\) 84852.4i 0.00744063i
\(666\) −506370. + 6.03358e6i −0.0442366 + 0.527095i
\(667\) 4.09966e6i 0.356807i
\(668\) −1.48133e7 + 1.13509e6i −1.28443 + 0.0984214i
\(669\) −862966. 52692.3i −0.0745467 0.00455178i
\(670\) −1254.08 32780.4i −0.000107929 0.00282116i
\(671\) −1.46149e7 2.53137e7i −1.25311 2.17045i
\(672\) −1.85512e7 7.69917e6i −1.58470 0.657689i
\(673\) −6.22631e6 + 1.07843e7i −0.529899 + 0.917811i 0.469493 + 0.882936i \(0.344437\pi\)
−0.999392 + 0.0348752i \(0.988897\pi\)
\(674\) −8.40659e6 4.43400e6i −0.712804 0.375964i
\(675\) 9.00358e6 + 7.68499e6i 0.760599 + 0.649208i
\(676\) −6.57017e6 9.60203e6i −0.552981 0.808158i
\(677\) −1.63455e7 9.43705e6i −1.37065 0.791343i −0.379637 0.925136i \(-0.623951\pi\)
−0.991009 + 0.133793i \(0.957284\pi\)
\(678\) −238162. + 1.04690e7i −0.0198975 + 0.874646i
\(679\) 3.73603e6 2.15700e6i 0.310983 0.179546i
\(680\) −2046.25 + 1518.17i −0.000169702 + 0.000125907i
\(681\) 587925. 9.62872e6i 0.0485796 0.795611i
\(682\) −2.75784e6 4.38091e6i −0.227043 0.360665i
\(683\) 1.32651e7 1.08807 0.544036 0.839062i \(-0.316896\pi\)
0.544036 + 0.839062i \(0.316896\pi\)
\(684\) −1.59353e7 + 8.25781e6i −1.30233 + 0.674877i
\(685\) −34781.5 −0.00283219
\(686\) 1.06337e7 + 1.68919e7i 0.862726 + 1.37047i
\(687\) 2.05381e6 + 1.35908e6i 0.166023 + 0.109864i
\(688\) 436739. + 2.83306e6i 0.0351764 + 0.228184i
\(689\) −1.15079e6 + 664407.i −0.0923521 + 0.0533195i
\(690\) 33933.4 18575.5i 0.00271334 0.00148531i
\(691\) 4.37907e6 + 2.52826e6i 0.348889 + 0.201431i 0.664196 0.747559i \(-0.268774\pi\)
−0.315307 + 0.948990i \(0.602107\pi\)
\(692\) 1.08817e7 7.44581e6i 0.863839 0.591080i
\(693\) −4.33441e6 + 3.53610e7i −0.342844 + 2.79699i
\(694\) −7.53488e6 3.97422e6i −0.593851 0.313223i
\(695\) 23477.2 40663.7i 0.00184367 0.00319334i
\(696\) 234066. + 4.35201e6i 0.0183154 + 0.340539i
\(697\) 154687. + 267926.i 0.0120607 + 0.0208897i
\(698\) 764075. + 1.99721e7i 0.0593605 + 1.55162i
\(699\) 5.73539e6 + 1.15005e7i 0.443987 + 0.890271i
\(700\) −1.69944e6 2.21782e7i −0.131087 1.71073i
\(701\) 1.64236e7i 1.26233i 0.775649 + 0.631165i \(0.217423\pi\)
−0.775649 + 0.631165i \(0.782577\pi\)
\(702\) −1.16582e6 + 1.47663e6i −0.0892869 + 0.113092i
\(703\) 1.01666e7i 0.775863i
\(704\) −6.26207e6 + 2.06698e7i −0.476196 + 1.57183i
\(705\) −11437.5 22934.2i −0.000866681 0.00173785i
\(706\) 545628. 20874.1i 0.0411988 0.00157615i
\(707\) 2.34275e6 + 4.05776e6i 0.176269 + 0.305308i
\(708\) 1.47505e7 8.82370e6i 1.10592 0.661557i
\(709\) 1.63475e6 2.83147e6i 0.122134 0.211542i −0.798475 0.602028i \(-0.794360\pi\)
0.920609 + 0.390486i \(0.127693\pi\)
\(710\) 2618.02 4963.60i 0.000194907 0.000369531i
\(711\) −6.17502e6 + 2.62264e6i −0.458104 + 0.194565i
\(712\) 3.44891e6 397388.i 0.254966 0.0293775i
\(713\) −3.19162e6 1.84268e6i −0.235119 0.135746i
\(714\) −802118. 1.46529e6i −0.0588834 0.107567i
\(715\) −8282.89 + 4782.13i −0.000605922 + 0.000349829i
\(716\) −1.26488e6 + 2.63787e6i −0.0922080 + 0.192296i
\(717\) −5.91772e6 3.91598e6i −0.429889 0.284474i
\(718\) 6.88032e6 4.33124e6i 0.498078 0.313546i
\(719\) 1.65702e7 1.19538 0.597689 0.801728i \(-0.296086\pi\)
0.597689 + 0.801728i \(0.296086\pi\)
\(720\) 34961.6 21656.3i 0.00251339 0.00155688i
\(721\) −2.80318e7 −2.00822
\(722\) 1.36498e7 8.59268e6i 0.974500 0.613459i
\(723\) 254684. 4.17107e6i 0.0181199 0.296758i
\(724\) −9.76077e6 + 2.03557e7i −0.692051 + 1.44324i
\(725\) −4.17990e6 + 2.41327e6i −0.295339 + 0.170514i
\(726\) 2.40998e7 + 548252.i 1.69696 + 0.0386045i
\(727\) −1.27235e7 7.34592e6i −0.892834 0.515478i −0.0179654 0.999839i \(-0.505719\pi\)
−0.874868 + 0.484361i \(0.839052\pi\)
\(728\) 3.51200e6 404658.i 0.245599 0.0282982i
\(729\) −1.33990e7 5.13393e6i −0.933801 0.357792i
\(730\) 14351.3 27209.2i 0.000996744 0.00188977i
\(731\) −119202. + 206465.i −0.00825071 + 0.0142907i
\(732\) −1.93273e7 1.07629e7i −1.33319 0.742421i
\(733\) −4.45862e6 7.72256e6i −0.306507 0.530886i 0.671089 0.741377i \(-0.265827\pi\)
−0.977596 + 0.210491i \(0.932494\pi\)
\(734\) −1.60835e7 + 615309.i −1.10190 + 0.0421554i
\(735\) −84014.0 5129.85i −0.00573632 0.000350257i
\(736\) 2.92183e6 + 1.50955e7i 0.198820 + 1.02719i
\(737\) 2.31263e7i 1.56833i
\(738\) −2.12634e6 4.51816e6i −0.143712 0.305366i
\(739\) 1.80178e7i 1.21364i 0.794840 + 0.606820i \(0.207555\pi\)
−0.794840 + 0.606820i \(0.792445\pi\)
\(740\) 1779.84 + 23227.5i 0.000119482 + 0.00155927i
\(741\) 1.74330e6 2.63443e6i 0.116635 0.176255i
\(742\) 728022. + 1.90297e7i 0.0485439 + 1.26889i
\(743\) −747641. 1.29495e6i −0.0496845 0.0860561i 0.840114 0.542411i \(-0.182488\pi\)
−0.889798 + 0.456354i \(0.849155\pi\)
\(744\) −3.49329e6 1.77389e6i −0.231367 0.117488i
\(745\) −24487.2 + 42413.1i −0.00161640 + 0.00279968i
\(746\) 1.92516e7 + 1.01541e7i 1.26654 + 0.668028i
\(747\) −9.33181e6 2.19718e7i −0.611877 1.44067i
\(748\) −1.48242e6 + 1.01434e6i −0.0968762 + 0.0662873i
\(749\) 2.84948e7 + 1.64515e7i 1.85593 + 1.07152i
\(750\) 77828.4 + 47326.4i 0.00505225 + 0.00307221i
\(751\) 1.22754e7 7.08720e6i 0.794210 0.458537i −0.0472327 0.998884i \(-0.515040\pi\)
0.841443 + 0.540347i \(0.181707\pi\)
\(752\) 1.00671e7 1.55193e6i 0.649175 0.100075i
\(753\) 1.47513e7 7.35664e6i 0.948078 0.472816i
\(754\) −408670. 649186.i −0.0261785 0.0415854i
\(755\) 72766.1 0.00464582
\(756\) 1.09234e7 + 2.46508e7i 0.695112 + 1.56865i
\(757\) −2.06134e7 −1.30740 −0.653701 0.756753i \(-0.726784\pi\)
−0.653701 + 0.756753i \(0.726784\pi\)
\(758\) −3.80369e6 6.04228e6i −0.240454 0.381969i
\(759\) 2.44053e7 1.21712e7i 1.53773 0.766882i
\(760\) −55457.1 + 41145.1i −0.00348276 + 0.00258395i
\(761\) 2.19743e7 1.26869e7i 1.37548