Properties

Label 38.6.e.b.23.5
Level $38$
Weight $6$
Character 38.23
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.09458515289\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 23.5
Character \(\chi\) \(=\) 38.23
Dual form 38.6.e.b.5.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.75877 - 1.36808i) q^{2} +(4.41021 + 25.0115i) q^{3} +(12.2567 + 10.2846i) q^{4} +(-71.5678 + 60.0525i) q^{5} +(17.6408 - 100.046i) q^{6} +(91.0882 - 157.769i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-377.781 + 137.501i) q^{9} +O(q^{10})\) \(q+(-3.75877 - 1.36808i) q^{2} +(4.41021 + 25.0115i) q^{3} +(12.2567 + 10.2846i) q^{4} +(-71.5678 + 60.0525i) q^{5} +(17.6408 - 100.046i) q^{6} +(91.0882 - 157.769i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-377.781 + 137.501i) q^{9} +(351.164 - 127.813i) q^{10} +(-198.935 - 344.565i) q^{11} +(-203.179 + 351.916i) q^{12} +(-119.944 + 680.234i) q^{13} +(-558.221 + 468.403i) q^{14} +(-1817.63 - 1525.18i) q^{15} +(44.4539 + 252.111i) q^{16} +(-1158.23 - 421.562i) q^{17} +1608.11 q^{18} +(785.549 + 1363.46i) q^{19} -1494.80 q^{20} +(4347.77 + 1582.46i) q^{21} +(276.357 + 1567.30i) q^{22} +(216.010 + 181.254i) q^{23} +(1245.15 - 1044.81i) q^{24} +(972.994 - 5518.13i) q^{25} +(1381.45 - 2392.75i) q^{26} +(-2019.43 - 3497.75i) q^{27} +(2739.04 - 996.928i) q^{28} +(-4078.07 + 1484.30i) q^{29} +(4745.50 + 8219.45i) q^{30} +(-1343.51 + 2327.02i) q^{31} +(177.816 - 1008.44i) q^{32} +(7740.75 - 6495.26i) q^{33} +(3776.80 + 3169.11i) q^{34} +(2955.47 + 16761.3i) q^{35} +(-6044.50 - 2200.02i) q^{36} -3855.72 q^{37} +(-1087.38 - 6199.61i) q^{38} -17542.7 q^{39} +(5618.62 + 2045.01i) q^{40} +(3396.47 + 19262.3i) q^{41} +(-14177.3 - 11896.2i) q^{42} +(-284.262 + 238.524i) q^{43} +(1105.43 - 6269.19i) q^{44} +(18779.7 - 32527.4i) q^{45} +(-563.962 - 976.811i) q^{46} +(-12719.0 + 4629.35i) q^{47} +(-6109.62 + 2223.72i) q^{48} +(-8190.64 - 14186.6i) q^{49} +(-11206.5 + 19410.2i) q^{50} +(5435.86 - 30828.3i) q^{51} +(-8466.04 + 7103.85i) q^{52} +(4309.46 + 3616.06i) q^{53} +(2805.36 + 15910.0i) q^{54} +(34929.3 + 12713.2i) q^{55} -11659.3 q^{56} +(-30637.7 + 25660.9i) q^{57} +17359.2 q^{58} +(28278.6 + 10292.6i) q^{59} +(-6592.39 - 37387.3i) q^{60} +(1693.96 + 1421.40i) q^{61} +(8233.48 - 6908.71i) q^{62} +(-12717.9 + 72127.1i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(-32265.6 - 55885.7i) q^{65} +(-37981.7 + 13824.2i) q^{66} +(-249.987 + 90.9880i) q^{67} +(-9860.51 - 17078.9i) q^{68} +(-3580.79 + 6202.11i) q^{69} +(11821.9 - 67045.2i) q^{70} +(17075.9 - 14328.4i) q^{71} +(19710.1 + 16538.7i) q^{72} +(9670.88 + 54846.3i) q^{73} +(14492.8 + 5274.93i) q^{74} +142308. q^{75} +(-4394.35 + 24790.5i) q^{76} -72482.4 q^{77} +(65938.8 + 23999.8i) q^{78} +(-9821.32 - 55699.5i) q^{79} +(-18321.4 - 15373.4i) q^{80} +(3741.21 - 3139.25i) q^{81} +(13585.9 - 77049.4i) q^{82} +(-42577.7 + 73746.7i) q^{83} +(37014.4 + 64110.9i) q^{84} +(108208. - 39384.5i) q^{85} +(1394.80 - 507.664i) q^{86} +(-55109.7 - 95452.8i) q^{87} +(-12731.8 + 22052.1i) q^{88} +(3768.14 - 21370.2i) q^{89} +(-115089. + 96570.8i) q^{90} +(96394.6 + 80884.7i) q^{91} +(783.448 + 4443.16i) q^{92} +(-64127.4 - 23340.5i) q^{93} +54141.2 q^{94} +(-138099. - 50405.3i) q^{95} +26006.9 q^{96} +(-104831. - 38155.4i) q^{97} +(11378.3 + 64529.6i) q^{98} +(122532. + 102816. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.75877 1.36808i −0.664463 0.241845i
\(3\) 4.41021 + 25.0115i 0.282915 + 1.60449i 0.712640 + 0.701530i \(0.247499\pi\)
−0.429725 + 0.902960i \(0.641389\pi\)
\(4\) 12.2567 + 10.2846i 0.383022 + 0.321394i
\(5\) −71.5678 + 60.0525i −1.28024 + 1.07425i −0.287033 + 0.957921i \(0.592669\pi\)
−0.993210 + 0.116331i \(0.962887\pi\)
\(6\) 17.6408 100.046i 0.200051 1.13455i
\(7\) 91.0882 157.769i 0.702615 1.21696i −0.264931 0.964267i \(-0.585349\pi\)
0.967545 0.252697i \(-0.0813176\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) −377.781 + 137.501i −1.55466 + 0.565848i
\(10\) 351.164 127.813i 1.11048 0.404180i
\(11\) −198.935 344.565i −0.495711 0.858597i 0.504277 0.863542i \(-0.331759\pi\)
−0.999988 + 0.00494549i \(0.998426\pi\)
\(12\) −203.179 + 351.916i −0.407311 + 0.705482i
\(13\) −119.944 + 680.234i −0.196842 + 1.11635i 0.712928 + 0.701237i \(0.247368\pi\)
−0.909771 + 0.415111i \(0.863743\pi\)
\(14\) −558.221 + 468.403i −0.761178 + 0.638704i
\(15\) −1817.63 1525.18i −2.08583 1.75022i
\(16\) 44.4539 + 252.111i 0.0434120 + 0.246202i
\(17\) −1158.23 421.562i −0.972015 0.353785i −0.193284 0.981143i \(-0.561914\pi\)
−0.778731 + 0.627358i \(0.784136\pi\)
\(18\) 1608.11 1.16986
\(19\) 785.549 + 1363.46i 0.499217 + 0.866477i
\(20\) −1494.80 −0.835620
\(21\) 4347.77 + 1582.46i 2.15139 + 0.783041i
\(22\) 276.357 + 1567.30i 0.121735 + 0.690391i
\(23\) 216.010 + 181.254i 0.0851441 + 0.0714444i 0.684366 0.729138i \(-0.260079\pi\)
−0.599222 + 0.800583i \(0.704523\pi\)
\(24\) 1245.15 1044.81i 0.441260 0.370261i
\(25\) 972.994 5518.13i 0.311358 1.76580i
\(26\) 1381.45 2392.75i 0.400777 0.694167i
\(27\) −2019.43 3497.75i −0.533112 0.923377i
\(28\) 2739.04 996.928i 0.660242 0.240308i
\(29\) −4078.07 + 1484.30i −0.900451 + 0.327737i −0.750433 0.660946i \(-0.770155\pi\)
−0.150017 + 0.988683i \(0.547933\pi\)
\(30\) 4745.50 + 8219.45i 0.962674 + 1.66740i
\(31\) −1343.51 + 2327.02i −0.251093 + 0.434906i −0.963827 0.266528i \(-0.914123\pi\)
0.712734 + 0.701435i \(0.247457\pi\)
\(32\) 177.816 1008.44i 0.0306970 0.174091i
\(33\) 7740.75 6495.26i 1.23737 1.03827i
\(34\) 3776.80 + 3169.11i 0.560307 + 0.470154i
\(35\) 2955.47 + 16761.3i 0.407808 + 2.31280i
\(36\) −6044.50 2200.02i −0.777328 0.282924i
\(37\) −3855.72 −0.463021 −0.231511 0.972832i \(-0.574367\pi\)
−0.231511 + 0.972832i \(0.574367\pi\)
\(38\) −1087.38 6199.61i −0.122158 0.696475i
\(39\) −17542.7 −1.84686
\(40\) 5618.62 + 2045.01i 0.555238 + 0.202090i
\(41\) 3396.47 + 19262.3i 0.315550 + 1.78957i 0.569118 + 0.822256i \(0.307285\pi\)
−0.253568 + 0.967318i \(0.581604\pi\)
\(42\) −14177.3 11896.2i −1.24014 1.04060i
\(43\) −284.262 + 238.524i −0.0234449 + 0.0196726i −0.654435 0.756118i \(-0.727093\pi\)
0.630990 + 0.775791i \(0.282649\pi\)
\(44\) 1105.43 6269.19i 0.0860793 0.488180i
\(45\) 18779.7 32527.4i 1.38247 2.39451i
\(46\) −563.962 976.811i −0.0392966 0.0680638i
\(47\) −12719.0 + 4629.35i −0.839865 + 0.305686i −0.725901 0.687799i \(-0.758577\pi\)
−0.113964 + 0.993485i \(0.536355\pi\)
\(48\) −6109.62 + 2223.72i −0.382747 + 0.139308i
\(49\) −8190.64 14186.6i −0.487335 0.844089i
\(50\) −11206.5 + 19410.2i −0.633936 + 1.09801i
\(51\) 5435.86 30828.3i 0.292646 1.65968i
\(52\) −8466.04 + 7103.85i −0.434182 + 0.364322i
\(53\) 4309.46 + 3616.06i 0.210733 + 0.176826i 0.742045 0.670350i \(-0.233856\pi\)
−0.531312 + 0.847176i \(0.678301\pi\)
\(54\) 2805.36 + 15910.0i 0.130919 + 0.742480i
\(55\) 34929.3 + 12713.2i 1.55698 + 0.566694i
\(56\) −11659.3 −0.496824
\(57\) −30637.7 + 25660.9i −1.24902 + 1.04613i
\(58\) 17359.2 0.677578
\(59\) 28278.6 + 10292.6i 1.05762 + 0.384941i 0.811533 0.584307i \(-0.198634\pi\)
0.246085 + 0.969248i \(0.420856\pi\)
\(60\) −6592.39 37387.3i −0.236409 1.34074i
\(61\) 1693.96 + 1421.40i 0.0582878 + 0.0489092i 0.671466 0.741035i \(-0.265665\pi\)
−0.613178 + 0.789944i \(0.710109\pi\)
\(62\) 8233.48 6908.71i 0.272022 0.228254i
\(63\) −12717.9 + 72127.1i −0.403706 + 2.28953i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) −32265.6 55885.7i −0.947233 1.64066i
\(66\) −37981.7 + 13824.2i −1.07328 + 0.390644i
\(67\) −249.987 + 90.9880i −0.00680348 + 0.00247626i −0.345420 0.938448i \(-0.612263\pi\)
0.338616 + 0.940925i \(0.390041\pi\)
\(68\) −9860.51 17078.9i −0.258599 0.447907i
\(69\) −3580.79 + 6202.11i −0.0905433 + 0.156826i
\(70\) 11821.9 67045.2i 0.288364 1.63539i
\(71\) 17075.9 14328.4i 0.402011 0.337327i −0.419260 0.907866i \(-0.637710\pi\)
0.821270 + 0.570539i \(0.193266\pi\)
\(72\) 19710.1 + 16538.7i 0.448082 + 0.375985i
\(73\) 9670.88 + 54846.3i 0.212402 + 1.20459i 0.885358 + 0.464909i \(0.153913\pi\)
−0.672956 + 0.739682i \(0.734976\pi\)
\(74\) 14492.8 + 5274.93i 0.307661 + 0.111979i
\(75\) 142308. 2.92130
\(76\) −4394.35 + 24790.5i −0.0872692 + 0.492325i
\(77\) −72482.4 −1.39318
\(78\) 65938.8 + 23999.8i 1.22717 + 0.446653i
\(79\) −9821.32 55699.5i −0.177052 1.00411i −0.935748 0.352669i \(-0.885274\pi\)
0.758696 0.651445i \(-0.225837\pi\)
\(80\) −18321.4 15373.4i −0.320061 0.268563i
\(81\) 3741.21 3139.25i 0.0633577 0.0531634i
\(82\) 13585.9 77049.4i 0.223128 1.26542i
\(83\) −42577.7 + 73746.7i −0.678401 + 1.17503i 0.297061 + 0.954859i \(0.403994\pi\)
−0.975462 + 0.220167i \(0.929340\pi\)
\(84\) 37014.4 + 64110.9i 0.572365 + 0.991365i
\(85\) 108208. 39384.5i 1.62447 0.591259i
\(86\) 1394.80 507.664i 0.0203360 0.00740168i
\(87\) −55109.7 95452.8i −0.780602 1.35204i
\(88\) −12731.8 + 22052.1i −0.175260 + 0.303560i
\(89\) 3768.14 21370.2i 0.0504257 0.285978i −0.949159 0.314797i \(-0.898064\pi\)
0.999585 + 0.0288189i \(0.00917462\pi\)
\(90\) −115089. + 96570.8i −1.49770 + 1.25672i
\(91\) 96394.6 + 80884.7i 1.22025 + 1.02391i
\(92\) 783.448 + 4443.16i 0.00965030 + 0.0547296i
\(93\) −64127.4 23340.5i −0.768841 0.279835i
\(94\) 54141.2 0.631988
\(95\) −138099. 50405.3i −1.56993 0.573017i
\(96\) 26006.9 0.288012
\(97\) −104831. 38155.4i −1.13125 0.411743i −0.292507 0.956263i \(-0.594490\pi\)
−0.838748 + 0.544520i \(0.816712\pi\)
\(98\) 11378.3 + 64529.6i 0.119678 + 0.678725i
\(99\) 122532. + 102816.i 1.25650 + 1.05432i
\(100\) 68677.4 57627.2i 0.686774 0.576272i
\(101\) 26663.9 151218.i 0.260088 1.47503i −0.522579 0.852591i \(-0.675030\pi\)
0.782667 0.622441i \(-0.213859\pi\)
\(102\) −62607.8 + 108440.i −0.595837 + 1.03202i
\(103\) 9004.54 + 15596.3i 0.0836312 + 0.144854i 0.904807 0.425822i \(-0.140015\pi\)
−0.821176 + 0.570675i \(0.806682\pi\)
\(104\) 41540.6 15119.5i 0.376608 0.137074i
\(105\) −406191. + 147842.i −3.59548 + 1.30865i
\(106\) −11251.2 19487.6i −0.0972599 0.168459i
\(107\) −19122.0 + 33120.2i −0.161463 + 0.279662i −0.935394 0.353608i \(-0.884955\pi\)
0.773931 + 0.633270i \(0.218288\pi\)
\(108\) 11221.4 63639.9i 0.0925739 0.525013i
\(109\) 116484. 97741.7i 0.939074 0.787977i −0.0383498 0.999264i \(-0.512210\pi\)
0.977424 + 0.211288i \(0.0677657\pi\)
\(110\) −113898. 95572.1i −0.897503 0.753095i
\(111\) −17004.5 96437.4i −0.130996 0.742913i
\(112\) 43824.6 + 15950.9i 0.330121 + 0.120154i
\(113\) 235307. 1.73356 0.866782 0.498688i \(-0.166185\pi\)
0.866782 + 0.498688i \(0.166185\pi\)
\(114\) 150266. 54538.6i 1.08293 0.393045i
\(115\) −26344.1 −0.185754
\(116\) −65249.2 23748.8i −0.450225 0.163869i
\(117\) −48220.5 273472.i −0.325662 1.84692i
\(118\) −92211.8 77374.9i −0.609651 0.511558i
\(119\) −172011. + 144334.i −1.11350 + 0.934333i
\(120\) −26369.5 + 149549.i −0.167167 + 0.948049i
\(121\) 1375.58 2382.58i 0.00854127 0.0147939i
\(122\) −4422.60 7660.17i −0.0269016 0.0465950i
\(123\) −466802. + 169902.i −2.78208 + 1.01259i
\(124\) −40399.4 + 14704.2i −0.235950 + 0.0858790i
\(125\) 115765. + 200512.i 0.662680 + 1.14780i
\(126\) 146480. 253710.i 0.821960 1.42368i
\(127\) −18207.2 + 103258.i −0.100169 + 0.568088i 0.892871 + 0.450313i \(0.148687\pi\)
−0.993040 + 0.117776i \(0.962424\pi\)
\(128\) 12550.9 10531.4i 0.0677094 0.0568149i
\(129\) −7219.51 6057.89i −0.0381974 0.0320514i
\(130\) 44823.0 + 254204.i 0.232617 + 1.31924i
\(131\) 255660. + 93052.8i 1.30162 + 0.473752i 0.897525 0.440964i \(-0.145363\pi\)
0.404098 + 0.914716i \(0.367585\pi\)
\(132\) 161677. 0.807633
\(133\) 286666. + 259.134i 1.40523 + 0.00127027i
\(134\) 1064.12 0.00511953
\(135\) 354574. + 129055.i 1.67445 + 0.609451i
\(136\) 13698.1 + 77685.7i 0.0635057 + 0.360158i
\(137\) 63506.5 + 53288.3i 0.289079 + 0.242566i 0.775781 0.631002i \(-0.217356\pi\)
−0.486702 + 0.873568i \(0.661800\pi\)
\(138\) 21944.4 18413.5i 0.0980901 0.0823073i
\(139\) −15639.2 + 88694.2i −0.0686557 + 0.389366i 0.931045 + 0.364904i \(0.118898\pi\)
−0.999701 + 0.0244617i \(0.992213\pi\)
\(140\) −136159. + 235834.i −0.587119 + 1.01692i
\(141\) −171881. 297706.i −0.728080 1.26107i
\(142\) −83786.7 + 30495.9i −0.348702 + 0.126917i
\(143\) 258245. 93993.7i 1.05607 0.384378i
\(144\) −51459.4 89130.3i −0.206804 0.358195i
\(145\) 202723. 351126.i 0.800724 1.38689i
\(146\) 38683.5 219385.i 0.150191 0.851775i
\(147\) 318706. 267426.i 1.21646 1.02073i
\(148\) −47258.4 39654.5i −0.177347 0.148812i
\(149\) 13171.4 + 74698.5i 0.0486032 + 0.275642i 0.999418 0.0341181i \(-0.0108622\pi\)
−0.950815 + 0.309761i \(0.899751\pi\)
\(150\) −534903. 194689.i −1.94109 0.706500i
\(151\) −321781. −1.14847 −0.574233 0.818692i \(-0.694700\pi\)
−0.574233 + 0.818692i \(0.694700\pi\)
\(152\) 50432.8 87170.1i 0.177053 0.306026i
\(153\) 495523. 1.71134
\(154\) 272445. + 99161.8i 0.925713 + 0.336932i
\(155\) −43591.6 247220.i −0.145738 0.826523i
\(156\) −215015. 180419.i −0.707388 0.593569i
\(157\) −127737. + 107184.i −0.413586 + 0.347040i −0.825717 0.564085i \(-0.809229\pi\)
0.412131 + 0.911125i \(0.364785\pi\)
\(158\) −39285.3 + 222798.i −0.125195 + 0.710016i
\(159\) −71437.7 + 123734.i −0.224096 + 0.388146i
\(160\) 47833.7 + 82850.3i 0.147718 + 0.255855i
\(161\) 48272.3 17569.7i 0.146769 0.0534194i
\(162\) −18357.1 + 6681.44i −0.0549562 + 0.0200024i
\(163\) 305358. + 528896.i 0.900203 + 1.55920i 0.827231 + 0.561863i \(0.189915\pi\)
0.0729720 + 0.997334i \(0.476752\pi\)
\(164\) −156476. + 271024.i −0.454295 + 0.786862i
\(165\) −163932. + 929703.i −0.468763 + 2.65848i
\(166\) 260931. 218947.i 0.734946 0.616693i
\(167\) −23512.5 19729.3i −0.0652390 0.0547420i 0.609585 0.792721i \(-0.291336\pi\)
−0.674824 + 0.737979i \(0.735781\pi\)
\(168\) −51419.9 291617.i −0.140559 0.797149i
\(169\) −99430.0 36189.5i −0.267794 0.0974690i
\(170\) −460610. −1.22239
\(171\) −484242. 407074.i −1.26640 1.06459i
\(172\) −5937.25 −0.0153026
\(173\) 9027.06 + 3285.58i 0.0229314 + 0.00834635i 0.353460 0.935449i \(-0.385005\pi\)
−0.330529 + 0.943796i \(0.607227\pi\)
\(174\) 76557.6 + 434180.i 0.191697 + 1.08717i
\(175\) −781963. 656145.i −1.93015 1.61959i
\(176\) 78025.1 65470.8i 0.189868 0.159318i
\(177\) −132719. + 752684.i −0.318419 + 1.80584i
\(178\) −43399.7 + 75170.4i −0.102668 + 0.177827i
\(179\) −260394. 451016.i −0.607433 1.05211i −0.991662 0.128867i \(-0.958866\pi\)
0.384229 0.923238i \(-0.374467\pi\)
\(180\) 564708. 205537.i 1.29910 0.472834i
\(181\) −243019. + 88451.8i −0.551371 + 0.200683i −0.602656 0.798001i \(-0.705891\pi\)
0.0512843 + 0.998684i \(0.483669\pi\)
\(182\) −251669. 435903.i −0.563184 0.975464i
\(183\) −28080.6 + 48637.1i −0.0619839 + 0.107359i
\(184\) 3133.79 17772.6i 0.00682379 0.0386996i
\(185\) 275945. 231546.i 0.592780 0.497401i
\(186\) 209109. + 175463.i 0.443190 + 0.371880i
\(187\) 85156.9 + 482949.i 0.178080 + 1.00994i
\(188\) −203504. 74069.6i −0.419932 0.152843i
\(189\) −735784. −1.49829
\(190\) 450124. + 378393.i 0.904582 + 0.760429i
\(191\) 423915. 0.840805 0.420402 0.907338i \(-0.361889\pi\)
0.420402 + 0.907338i \(0.361889\pi\)
\(192\) −97754.0 35579.5i −0.191373 0.0696542i
\(193\) −88691.6 502995.i −0.171391 0.972009i −0.942227 0.334975i \(-0.891272\pi\)
0.770836 0.637034i \(-0.219839\pi\)
\(194\) 341836. + 286835.i 0.652099 + 0.547176i
\(195\) 1.25549e6 1.05348e6i 2.36443 1.98399i
\(196\) 45513.3 258118.i 0.0846248 0.479931i
\(197\) −366400. + 634623.i −0.672650 + 1.16506i 0.304499 + 0.952513i \(0.401511\pi\)
−0.977150 + 0.212552i \(0.931823\pi\)
\(198\) −319908. 554097.i −0.579912 1.00444i
\(199\) 345017. 125576.i 0.617601 0.224789i −0.0142246 0.999899i \(-0.504528\pi\)
0.631826 + 0.775110i \(0.282306\pi\)
\(200\) −336981. + 122651.i −0.595705 + 0.216819i
\(201\) −3378.24 5851.29i −0.00589795 0.0102155i
\(202\) −307102. + 531917.i −0.529547 + 0.917203i
\(203\) −137288. + 778597.i −0.233825 + 1.32609i
\(204\) 383683. 321948.i 0.645501 0.541639i
\(205\) −1.39983e6 1.17460e6i −2.32643 1.95211i
\(206\) −12509.0 70941.9i −0.0205378 0.116476i
\(207\) −106527. 38772.7i −0.172796 0.0628927i
\(208\) −176826. −0.283392
\(209\) 313526. 541911.i 0.496487 0.858148i
\(210\) 1.72904e6 2.70556
\(211\) 921289. + 335322.i 1.42459 + 0.518508i 0.935376 0.353655i \(-0.115061\pi\)
0.489214 + 0.872164i \(0.337284\pi\)
\(212\) 15630.0 + 88642.1i 0.0238847 + 0.135457i
\(213\) 433683. + 363903.i 0.654973 + 0.549587i
\(214\) 117186. 98330.9i 0.174921 0.146776i
\(215\) 6020.03 34141.3i 0.00888184 0.0503714i
\(216\) −129243. + 223856.i −0.188484 + 0.326463i
\(217\) 244755. + 423928.i 0.352844 + 0.611143i
\(218\) −571555. + 208029.i −0.814548 + 0.296471i
\(219\) −1.32914e6 + 483767.i −1.87266 + 0.681594i
\(220\) 297368. + 515056.i 0.414226 + 0.717460i
\(221\) 425683. 737304.i 0.586280 1.01547i
\(222\) −68018.1 + 385750.i −0.0926279 + 0.525319i
\(223\) −420654. + 352971.i −0.566452 + 0.475309i −0.880466 0.474109i \(-0.842770\pi\)
0.314015 + 0.949418i \(0.398326\pi\)
\(224\) −142905. 119911.i −0.190294 0.159676i
\(225\) 391169. + 2.21843e6i 0.515120 + 2.92139i
\(226\) −884467. 321920.i −1.15189 0.419253i
\(227\) 497072. 0.640257 0.320129 0.947374i \(-0.396274\pi\)
0.320129 + 0.947374i \(0.396274\pi\)
\(228\) −639429. 578.018i −0.814621 0.000736384i
\(229\) 352557. 0.444263 0.222132 0.975017i \(-0.428699\pi\)
0.222132 + 0.975017i \(0.428699\pi\)
\(230\) 99021.5 + 36040.9i 0.123427 + 0.0449237i
\(231\) −319662. 1.81290e6i −0.394150 2.23534i
\(232\) 212766. + 178532.i 0.259527 + 0.217769i
\(233\) −630507. + 529058.i −0.760852 + 0.638430i −0.938348 0.345691i \(-0.887645\pi\)
0.177497 + 0.984121i \(0.443200\pi\)
\(234\) −192882. + 1.09389e6i −0.230278 + 1.30597i
\(235\) 632269. 1.09512e6i 0.746848 1.29358i
\(236\) 240748. + 416988.i 0.281373 + 0.487353i
\(237\) 1.34981e6 491292.i 1.56100 0.568158i
\(238\) 844010. 307195.i 0.965840 0.351537i
\(239\) −584303. 1.01204e6i −0.661673 1.14605i −0.980176 0.198130i \(-0.936513\pi\)
0.318502 0.947922i \(-0.396820\pi\)
\(240\) 303712. 526045.i 0.340357 0.589515i
\(241\) −30924.1 + 175379.i −0.0342969 + 0.194507i −0.997142 0.0755458i \(-0.975930\pi\)
0.962845 + 0.270053i \(0.0870412\pi\)
\(242\) −8430.05 + 7073.65i −0.00925319 + 0.00776435i
\(243\) −656811. 551129.i −0.713550 0.598740i
\(244\) 6143.82 + 34843.3i 0.00660638 + 0.0374666i
\(245\) 1.43813e6 + 523435.i 1.53067 + 0.557119i
\(246\) 1.98704e6 2.09348
\(247\) −1.02169e6 + 370819.i −1.06556 + 0.386741i
\(248\) 171969. 0.177550
\(249\) −2.03229e6 739694.i −2.07725 0.756056i
\(250\) −160820. 912054.i −0.162738 0.922934i
\(251\) −189012. 158600.i −0.189368 0.158898i 0.543175 0.839620i \(-0.317222\pi\)
−0.732543 + 0.680721i \(0.761667\pi\)
\(252\) −897679. + 753242.i −0.890470 + 0.747193i
\(253\) 19481.9 110487.i 0.0191350 0.108520i
\(254\) 209703. 363216.i 0.203948 0.353248i
\(255\) 1.46228e6 + 2.53275e6i 1.40826 + 2.43917i
\(256\) −61583.7 + 22414.6i −0.0587308 + 0.0213763i
\(257\) 1.03030e6 375000.i 0.973044 0.354159i 0.193912 0.981019i \(-0.437882\pi\)
0.779132 + 0.626860i \(0.215660\pi\)
\(258\) 18848.8 + 32647.1i 0.0176293 + 0.0305348i
\(259\) −351211. + 608315.i −0.325326 + 0.563480i
\(260\) 179292. 1.01681e6i 0.164485 0.932842i
\(261\) 1.33653e6 1.12148e6i 1.21444 1.01904i
\(262\) −833665. 699528.i −0.750306 0.629582i
\(263\) −130573. 740514.i −0.116403 0.660152i −0.986046 0.166472i \(-0.946762\pi\)
0.869644 0.493680i \(-0.164349\pi\)
\(264\) −607708. 221188.i −0.536642 0.195322i
\(265\) −525572. −0.459745
\(266\) −1.07716e6 393156.i −0.933415 0.340691i
\(267\) 551119. 0.473115
\(268\) −3999.80 1455.81i −0.00340174 0.00123813i
\(269\) 279875. + 1.58725e6i 0.235821 + 1.33741i 0.840877 + 0.541226i \(0.182040\pi\)
−0.605056 + 0.796183i \(0.706849\pi\)
\(270\) −1.15621e6 970173.i −0.965220 0.809915i
\(271\) −1.20159e6 + 1.00825e6i −0.993878 + 0.833962i −0.986124 0.166008i \(-0.946912\pi\)
−0.00775321 + 0.999970i \(0.502468\pi\)
\(272\) 54792.3 310743.i 0.0449053 0.254671i
\(273\) −1.59793e6 + 2.76770e6i −1.29763 + 2.24756i
\(274\) −165804. 287180.i −0.133419 0.231089i
\(275\) −2.09491e6 + 762486.i −1.67045 + 0.607995i
\(276\) −107675. + 39190.5i −0.0850828 + 0.0309676i
\(277\) −91674.8 158785.i −0.0717878 0.124340i 0.827897 0.560880i \(-0.189537\pi\)
−0.899685 + 0.436540i \(0.856204\pi\)
\(278\) 180125. 311985.i 0.139785 0.242115i
\(279\) 187583. 1.06384e6i 0.144273 0.818210i
\(280\) 834430. 700170.i 0.636055 0.533714i
\(281\) 1.76856e6 + 1.48400e6i 1.33615 + 1.12116i 0.982597 + 0.185748i \(0.0594708\pi\)
0.353552 + 0.935415i \(0.384974\pi\)
\(282\) 238774. + 1.35415e6i 0.178799 + 1.01402i
\(283\) −2.18330e6 794655.i −1.62049 0.589811i −0.637016 0.770851i \(-0.719831\pi\)
−0.983476 + 0.181040i \(0.942054\pi\)
\(284\) 356656. 0.262394
\(285\) 651669. 3.67636e6i 0.475242 2.68106i
\(286\) −1.09928e6 −0.794679
\(287\) 3.34839e6 + 1.21871e6i 2.39956 + 0.873367i
\(288\) 71486.6 + 405421.i 0.0507859 + 0.288021i
\(289\) 76111.9 + 63865.5i 0.0536053 + 0.0449802i
\(290\) −1.24236e6 + 1.04246e6i −0.867465 + 0.727889i
\(291\) 491998. 2.79026e6i 0.340589 1.93158i
\(292\) −445539. + 771696.i −0.305794 + 0.529650i
\(293\) −515337. 892590.i −0.350689 0.607412i 0.635681 0.771952i \(-0.280719\pi\)
−0.986370 + 0.164540i \(0.947386\pi\)
\(294\) −1.56380e6 + 569178.i −1.05515 + 0.384043i
\(295\) −2.64193e6 + 961586.i −1.76753 + 0.643329i
\(296\) 123383. + 213706.i 0.0818514 + 0.141771i
\(297\) −803467. + 1.39165e6i −0.528539 + 0.915456i
\(298\) 52685.4 298794.i 0.0343676 0.194909i
\(299\) −149204. + 125197.i −0.0965167 + 0.0809872i
\(300\) 1.74423e6 + 1.46358e6i 1.11892 + 0.938887i
\(301\) 11738.9 + 66574.6i 0.00746812 + 0.0423538i
\(302\) 1.20950e6 + 440223.i 0.763113 + 0.277751i
\(303\) 3.89980e6 2.44026
\(304\) −308821. + 258656.i −0.191656 + 0.160524i
\(305\) −206591. −0.127163
\(306\) −1.86256e6 677916.i −1.13712 0.413878i
\(307\) 292135. + 1.65678e6i 0.176904 + 1.00327i 0.935923 + 0.352203i \(0.114567\pi\)
−0.759020 + 0.651068i \(0.774321\pi\)
\(308\) −888396. 745453.i −0.533617 0.447758i
\(309\) −350376. + 294000.i −0.208756 + 0.175167i
\(310\) −174367. + 988882.i −0.103053 + 0.584440i
\(311\) 346830. 600727.i 0.203337 0.352190i −0.746265 0.665649i \(-0.768155\pi\)
0.949602 + 0.313460i \(0.101488\pi\)
\(312\) 561365. + 972313.i 0.326482 + 0.565483i
\(313\) 1.43212e6 521248.i 0.826262 0.300735i 0.105938 0.994373i \(-0.466215\pi\)
0.720324 + 0.693638i \(0.243993\pi\)
\(314\) 626768. 228125.i 0.358743 0.130572i
\(315\) −3.42122e6 5.92572e6i −1.94269 3.36484i
\(316\) 452470. 783701.i 0.254901 0.441502i
\(317\) 260136. 1.47531e6i 0.145396 0.824582i −0.821652 0.569989i \(-0.806947\pi\)
0.967048 0.254593i \(-0.0819415\pi\)
\(318\) 437795. 367354.i 0.242775 0.203712i
\(319\) 1.32271e6 + 1.10988e6i 0.727757 + 0.610661i
\(320\) −66449.8 376856.i −0.0362760 0.205731i
\(321\) −912719. 332202.i −0.494395 0.179945i
\(322\) −205481. −0.110442
\(323\) −335067. 1.91035e6i −0.178700 1.01884i
\(324\) 78140.8 0.0413538
\(325\) 3.63691e6 + 1.32373e6i 1.90996 + 0.695168i
\(326\) −424199. 2.40575e6i −0.221068 1.25374i
\(327\) 2.95839e6 + 2.48238e6i 1.52998 + 1.28380i
\(328\) 958941. 804647.i 0.492161 0.412972i
\(329\) −428184. + 2.42835e6i −0.218093 + 1.23686i
\(330\) 1.88809e6 3.27027e6i 0.954416 1.65310i
\(331\) −255612. 442733.i −0.128236 0.222112i 0.794757 0.606928i \(-0.207598\pi\)
−0.922993 + 0.384816i \(0.874265\pi\)
\(332\) −1.28032e6 + 465997.i −0.637489 + 0.232027i
\(333\) 1.45662e6 530166.i 0.719838 0.262000i
\(334\) 61386.7 + 106325.i 0.0301098 + 0.0521518i
\(335\) 12427.0 21524.2i 0.00604998 0.0104789i
\(336\) −205680. + 1.16647e6i −0.0993901 + 0.563669i
\(337\) −3.17454e6 + 2.66375e6i −1.52267 + 1.27767i −0.690163 + 0.723654i \(0.742461\pi\)
−0.832505 + 0.554017i \(0.813094\pi\)
\(338\) 324224. + 272056.i 0.154367 + 0.129529i
\(339\) 1.03775e6 + 5.88540e6i 0.490451 + 2.78148i
\(340\) 1.73133e6 + 630151.i 0.812235 + 0.295629i
\(341\) 1.06908e6 0.497879
\(342\) 1.26325e6 + 2.19258e6i 0.584013 + 1.01366i
\(343\) 77557.5 0.0355950
\(344\) 22316.7 + 8122.63i 0.0101680 + 0.00370084i
\(345\) −116183. 658907.i −0.0525527 0.298041i
\(346\) −29435.7 24699.5i −0.0132186 0.0110917i
\(347\) −2.48041e6 + 2.08131e6i −1.10586 + 0.927927i −0.997805 0.0662174i \(-0.978907\pi\)
−0.108056 + 0.994145i \(0.534462\pi\)
\(348\) 306230. 1.73672e6i 0.135550 0.768743i
\(349\) 1.11303e6 1.92783e6i 0.489153 0.847238i −0.510769 0.859718i \(-0.670639\pi\)
0.999922 + 0.0124799i \(0.00397257\pi\)
\(350\) 2.04156e6 + 3.53609e6i 0.890825 + 1.54295i
\(351\) 2.62150e6 954149.i 1.13575 0.413379i
\(352\) −382848. + 139345.i −0.164691 + 0.0599426i
\(353\) 532415. + 922171.i 0.227412 + 0.393890i 0.957040 0.289955i \(-0.0936402\pi\)
−0.729628 + 0.683844i \(0.760307\pi\)
\(354\) 1.52859e6 2.64760e6i 0.648311 1.12291i
\(355\) −361629. + 2.05090e6i −0.152297 + 0.863721i
\(356\) 265969. 223174.i 0.111226 0.0933295i
\(357\) −4.36862e6 3.66571e6i −1.81415 1.52226i
\(358\) 361736. + 2.05150e6i 0.149171 + 0.845990i
\(359\) −742235. 270151.i −0.303952 0.110630i 0.185541 0.982636i \(-0.440596\pi\)
−0.489494 + 0.872007i \(0.662818\pi\)
\(360\) −2.40380e6 −0.977557
\(361\) −1.24192e6 + 2.14212e6i −0.501565 + 0.865120i
\(362\) 1.03446e6 0.414900
\(363\) 65658.5 + 23897.7i 0.0261532 + 0.00951897i
\(364\) 349614. + 1.98276e6i 0.138304 + 0.784363i
\(365\) −3.98578e6 3.34447e6i −1.56596 1.31400i
\(366\) 172088. 144399.i 0.0671503 0.0563458i
\(367\) 625710. 3.54858e6i 0.242498 1.37527i −0.583734 0.811945i \(-0.698409\pi\)
0.826232 0.563330i \(-0.190480\pi\)
\(368\) −36093.6 + 62515.9i −0.0138935 + 0.0240642i
\(369\) −3.93172e6 6.80993e6i −1.50320 2.60362i
\(370\) −1.35399e6 + 492811.i −0.514174 + 0.187144i
\(371\) 963045. 350520.i 0.363255 0.132214i
\(372\) −545944. 945603.i −0.204546 0.354284i
\(373\) −861755. + 1.49260e6i −0.320709 + 0.555485i −0.980635 0.195846i \(-0.937255\pi\)
0.659925 + 0.751331i \(0.270588\pi\)
\(374\) 340628. 1.93180e6i 0.125922 0.714138i
\(375\) −4.50455e6 + 3.77977e6i −1.65414 + 1.38799i
\(376\) 663593. + 556821.i 0.242065 + 0.203117i
\(377\) −520530. 2.95207e6i −0.188622 1.06973i
\(378\) 2.76564e6 + 1.00661e6i 0.995558 + 0.362353i
\(379\) 1.34133e6 0.479666 0.239833 0.970814i \(-0.422907\pi\)
0.239833 + 0.970814i \(0.422907\pi\)
\(380\) −1.17424e6 2.03810e6i −0.417155 0.724045i
\(381\) −2.66295e6 −0.939832
\(382\) −1.59340e6 579950.i −0.558684 0.203344i
\(383\) −183285. 1.03946e6i −0.0638456 0.362086i −0.999946 0.0103545i \(-0.996704\pi\)
0.936101 0.351732i \(-0.114407\pi\)
\(384\) 318759. + 267471.i 0.110315 + 0.0925653i
\(385\) 5.18740e6 4.35275e6i 1.78360 1.49662i
\(386\) −354766. + 2.01198e6i −0.121192 + 0.687314i
\(387\) 74591.5 129196.i 0.0253170 0.0438503i
\(388\) −892471. 1.54580e6i −0.300964 0.521285i
\(389\) 3.05224e6 1.11092e6i 1.02269 0.372229i 0.224397 0.974498i \(-0.427959\pi\)
0.798293 + 0.602269i \(0.205736\pi\)
\(390\) −6.16034e6 + 2.24218e6i −2.05089 + 0.746464i
\(391\) −173780. 300996.i −0.0574854 0.0995677i
\(392\) −524201. + 907942.i −0.172299 + 0.298430i
\(393\) −1.19988e6 + 6.80484e6i −0.391882 + 2.22247i
\(394\) 2.24543e6 1.88414e6i 0.728716 0.611465i
\(395\) 4.04778e6 + 3.39649e6i 1.30534 + 1.09531i
\(396\) 444411. + 2.52038e6i 0.142412 + 0.807659i
\(397\) −5.69014e6 2.07104e6i −1.81195 0.659496i −0.996772 0.0802876i \(-0.974416\pi\)
−0.815179 0.579209i \(-0.803362\pi\)
\(398\) −1.46864e6 −0.464737
\(399\) 1.25777e6 + 7.17110e6i 0.395522 + 2.25504i
\(400\) 1.43443e6 0.448260
\(401\) −713025. 259520.i −0.221434 0.0805953i 0.228921 0.973445i \(-0.426480\pi\)
−0.450355 + 0.892850i \(0.648702\pi\)
\(402\) 4693.01 + 26615.4i 0.00144839 + 0.00821424i
\(403\) −1.42177e6 1.19301e6i −0.436081 0.365915i
\(404\) 1.88203e6 1.57921e6i 0.573685 0.481379i
\(405\) −79230.4 + 449338.i −0.0240024 + 0.136124i
\(406\) 1.58122e6 2.73875e6i 0.476076 0.824588i
\(407\) 767036. + 1.32854e6i 0.229525 + 0.397548i
\(408\) −1.88263e6 + 685220.i −0.559904 + 0.203788i
\(409\) 2.80119e6 1.01955e6i 0.828007 0.301370i 0.106967 0.994263i \(-0.465886\pi\)
0.721041 + 0.692893i \(0.243664\pi\)
\(410\) 3.65470e6 + 6.33012e6i 1.07372 + 1.85974i
\(411\) −1.05274e6 + 1.82341e6i −0.307410 + 0.532450i
\(412\) −50035.9 + 283768.i −0.0145224 + 0.0823607i
\(413\) 4.19971e6 3.52397e6i 1.21156 1.01662i
\(414\) 347367. + 291476.i 0.0996065 + 0.0835798i
\(415\) −1.38148e6 7.83478e6i −0.393754 2.23309i
\(416\) 664649. + 241912.i 0.188304 + 0.0685370i
\(417\) −2.28735e6 −0.644158
\(418\) −1.91985e6 + 1.60799e6i −0.537436 + 0.450135i
\(419\) −4.92084e6 −1.36932 −0.684658 0.728864i \(-0.740049\pi\)
−0.684658 + 0.728864i \(0.740049\pi\)
\(420\) −6.49906e6 2.36546e6i −1.79774 0.654324i
\(421\) 121190. + 687305.i 0.0333244 + 0.188992i 0.996926 0.0783508i \(-0.0249654\pi\)
−0.963601 + 0.267343i \(0.913854\pi\)
\(422\) −3.00417e6 2.52080e6i −0.821189 0.689059i
\(423\) 4.16847e6 3.49776e6i 1.13273 0.950472i
\(424\) 62520.0 354568.i 0.0168890 0.0957823i
\(425\) −3.45318e6 + 5.98109e6i −0.927358 + 1.60623i
\(426\) −1.13227e6 1.96114e6i −0.302290 0.523582i
\(427\) 378552. 137782.i 0.100475 0.0365698i
\(428\) −575000. + 209283.i −0.151726 + 0.0552236i
\(429\) 3.48984e6 + 6.04458e6i 0.915508 + 1.58571i
\(430\) −69336.0 + 120093.i −0.0180837 + 0.0313219i
\(431\) 600219. 3.40401e6i 0.155638 0.882668i −0.802562 0.596569i \(-0.796530\pi\)
0.958200 0.286099i \(-0.0923587\pi\)
\(432\) 792049. 664608.i 0.204194 0.171339i
\(433\) −4.32864e6 3.63216e6i −1.10951 0.930990i −0.111483 0.993766i \(-0.535560\pi\)
−0.998028 + 0.0627763i \(0.980005\pi\)
\(434\) −340010. 1.92829e6i −0.0866498 0.491415i
\(435\) 9.67626e6 + 3.52187e6i 2.45180 + 0.892380i
\(436\) 2.43294e6 0.612937
\(437\) −77445.3 + 436904.i −0.0193995 + 0.109442i
\(438\) 5.65776e6 1.40916
\(439\) 6.82988e6 + 2.48587e6i 1.69142 + 0.615627i 0.994803 0.101815i \(-0.0324650\pi\)
0.696618 + 0.717442i \(0.254687\pi\)
\(440\) −413099. 2.34280e6i −0.101724 0.576904i
\(441\) 5.04494e6 + 4.23321e6i 1.23526 + 1.03651i
\(442\) −2.60874e6 + 2.18899e6i −0.635147 + 0.532952i
\(443\) −314818. + 1.78542e6i −0.0762168 + 0.432247i 0.922692 + 0.385539i \(0.125984\pi\)
−0.998909 + 0.0467085i \(0.985127\pi\)
\(444\) 783401. 1.35689e6i 0.188593 0.326653i
\(445\) 1.01365e6 + 1.75570e6i 0.242655 + 0.420292i
\(446\) 2.06403e6 751247.i 0.491337 0.178832i
\(447\) −1.81023e6 + 658871.i −0.428515 + 0.155967i
\(448\) 373097. + 646224.i 0.0878268 + 0.152121i
\(449\) −1.38034e6 + 2.39082e6i −0.323126 + 0.559670i −0.981131 0.193343i \(-0.938067\pi\)
0.658006 + 0.753013i \(0.271400\pi\)
\(450\) 1.56468e6 8.87373e6i 0.364245 2.06574i
\(451\) 5.96145e6 5.00225e6i 1.38010 1.15804i
\(452\) 2.88410e6 + 2.42004e6i 0.663993 + 0.557156i
\(453\) −1.41912e6 8.04824e6i −0.324918 1.84270i
\(454\) −1.86838e6 680034.i −0.425427 0.154843i
\(455\) −1.17561e7 −2.66216
\(456\) 2.40268e6 + 876963.i 0.541107 + 0.197501i
\(457\) 7.69236e6 1.72294 0.861468 0.507812i \(-0.169546\pi\)
0.861468 + 0.507812i \(0.169546\pi\)
\(458\) −1.32518e6 482326.i −0.295197 0.107443i
\(459\) 864446. + 4.90251e6i 0.191516 + 1.08614i
\(460\) −322892. 270939.i −0.0711481 0.0597003i
\(461\) −4.45160e6 + 3.73534e6i −0.975583 + 0.818611i −0.983417 0.181358i \(-0.941951\pi\)
0.00783434 + 0.999969i \(0.497506\pi\)
\(462\) −1.27865e6 + 7.25158e6i −0.278706 + 1.58062i
\(463\) −2.02656e6 + 3.51010e6i −0.439346 + 0.760969i −0.997639 0.0686746i \(-0.978123\pi\)
0.558293 + 0.829644i \(0.311456\pi\)
\(464\) −555494. 962143.i −0.119780 0.207465i
\(465\) 5.99111e6 2.18059e6i 1.28492 0.467672i
\(466\) 3.09372e6 1.12602e6i 0.659959 0.240205i
\(467\) −3.02813e6 5.24487e6i −0.642513 1.11286i −0.984870 0.173295i \(-0.944559\pi\)
0.342357 0.939570i \(-0.388775\pi\)
\(468\) 2.22152e6 3.84779e6i 0.468853 0.812077i
\(469\) −8415.79 + 47728.3i −0.00176670 + 0.0100195i
\(470\) −3.87477e6 + 3.25132e6i −0.809098 + 0.678914i
\(471\) −3.24417e6 2.72218e6i −0.673832 0.565412i
\(472\) −334444. 1.89672e6i −0.0690984 0.391876i
\(473\) 138737. + 50496.0i 0.0285127 + 0.0103778i
\(474\) −5.74577e6 −1.17463
\(475\) 8.28806e6 3.00812e6i 1.68546 0.611733i
\(476\) −3.59271e6 −0.726782
\(477\) −2.12524e6 773526.i −0.427674 0.155661i
\(478\) 811706. + 4.60341e6i 0.162491 + 0.921531i
\(479\) 3.05657e6 + 2.56477e6i 0.608690 + 0.510752i 0.894226 0.447617i \(-0.147727\pi\)
−0.285536 + 0.958368i \(0.592171\pi\)
\(480\) −1.86126e6 + 1.56178e6i −0.368726 + 0.309397i
\(481\) 462468. 2.62279e6i 0.0911422 0.516893i
\(482\) 356170. 616904.i 0.0698296 0.120948i
\(483\) 652336. + 1.12988e6i 0.127234 + 0.220376i
\(484\) 41363.9 15055.2i 0.00802617 0.00292129i
\(485\) 9.79385e6 3.56467e6i 1.89060 0.688121i
\(486\) 1.71481e6 + 2.97014e6i 0.329326 + 0.570409i
\(487\) −3.78689e6 + 6.55908e6i −0.723535 + 1.25320i 0.236039 + 0.971744i \(0.424151\pi\)
−0.959574 + 0.281456i \(0.909183\pi\)
\(488\) 24575.3 139373.i 0.00467142 0.0264929i
\(489\) −1.18818e7 + 9.97001e6i −2.24703 + 1.88549i
\(490\) −4.68949e6 3.93495e6i −0.882338 0.740370i
\(491\) −265158. 1.50379e6i −0.0496365 0.281503i 0.949879 0.312617i \(-0.101206\pi\)
−0.999516 + 0.0311141i \(0.990094\pi\)
\(492\) −7.46882e6 2.71843e6i −1.39104 0.506297i
\(493\) 5.34907e6 0.991200
\(494\) 4.34761e6 + 3930.06i 0.801554 + 0.000724572i
\(495\) −1.49437e7 −2.74123
\(496\) −646391. 235267.i −0.117975 0.0429395i
\(497\) −705167. 3.99920e6i −0.128056 0.726243i
\(498\) 6.62696e6 + 5.56068e6i 1.19741 + 1.00474i
\(499\) 1.11992e6 939722.i 0.201342 0.168946i −0.536542 0.843874i \(-0.680270\pi\)
0.737884 + 0.674928i \(0.235825\pi\)
\(500\) −643279. + 3.64822e6i −0.115073 + 0.652613i
\(501\) 389765. 675094.i 0.0693760 0.120163i
\(502\) 493476. + 854726.i 0.0873991 + 0.151380i
\(503\) −7.01217e6 + 2.55222e6i −1.23576 + 0.449778i −0.875565 0.483100i \(-0.839511\pi\)
−0.360191 + 0.932879i \(0.617288\pi\)
\(504\) 4.40466e6 1.60317e6i 0.772389 0.281127i
\(505\) 7.17277e6 + 1.24236e7i 1.25158 + 2.16780i
\(506\) −224383. + 388643.i −0.0389596 + 0.0674799i
\(507\) 466649. 2.64650e6i 0.0806251 0.457248i
\(508\) −1.28513e6 + 1.07835e6i −0.220947 + 0.185397i
\(509\) −3.22046e6 2.70228e6i −0.550964 0.462314i 0.324303 0.945953i \(-0.394870\pi\)
−0.875267 + 0.483640i \(0.839315\pi\)
\(510\) −2.03138e6 1.15206e7i −0.345833 1.96132i
\(511\) 9.53397e6 + 3.47008e6i 1.61518 + 0.587878i
\(512\) 262144. 0.0441942
\(513\) 3.18267e6 5.50105e6i 0.533947 0.922895i
\(514\) −4.38571e6 −0.732203
\(515\) −1.58103e6 575449.i −0.262678 0.0956068i
\(516\) −26184.5 148500.i −0.00432932 0.0245528i
\(517\) 4.12536e6 + 3.46159e6i 0.678791 + 0.569573i
\(518\) 2.15234e6 1.80603e6i 0.352442 0.295734i
\(519\) −42366.2 + 240271.i −0.00690400 + 0.0391545i
\(520\) −2.06500e6 + 3.57669e6i −0.334897 + 0.580059i
\(521\) −3.03872e6 5.26322e6i −0.490452 0.849487i 0.509488 0.860478i \(-0.329835\pi\)
−0.999940 + 0.0109905i \(0.996502\pi\)
\(522\) −6.55797e6 + 2.38691e6i −1.05340 + 0.383406i
\(523\) −4.53079e6 + 1.64907e6i −0.724302 + 0.263624i −0.677751 0.735291i \(-0.737045\pi\)
−0.0465512 + 0.998916i \(0.514823\pi\)
\(524\) 2.17655e6 + 3.76989e6i 0.346290 + 0.599791i
\(525\) 1.29626e7 2.24518e7i 2.05255 3.55511i
\(526\) −522291. + 2.96206e6i −0.0823091 + 0.466798i
\(527\) 2.53707e6 2.12886e6i 0.397930 0.333903i
\(528\) 1.98163e6 + 1.66279e6i 0.309341 + 0.259568i
\(529\) −1.10385e6 6.26026e6i −0.171503 0.972642i
\(530\) 1.97550e6 + 719025.i 0.305484 + 0.111187i
\(531\) −1.20984e7 −1.86205
\(532\) 3.51092e6 + 2.95142e6i 0.537826 + 0.452118i
\(533\) −1.35103e7 −2.05990
\(534\) −2.07153e6 753975.i −0.314368 0.114420i
\(535\) −620435. 3.51866e6i −0.0937156 0.531487i
\(536\) 13042.7 + 10944.1i 0.00196089 + 0.00164539i
\(537\) 1.01322e7 8.50193e6i 1.51624 1.27228i
\(538\) 1.11950e6 6.34899e6i 0.166751 0.945691i
\(539\) −3.25880e6 + 5.64441e6i −0.483154 + 0.836848i
\(540\) 3.01864e6 + 5.22844e6i 0.445479 + 0.771592i
\(541\) −1.02131e7 + 3.71727e6i −1.50026 + 0.546049i −0.956127 0.292952i \(-0.905362\pi\)
−0.544130 + 0.839001i \(0.683140\pi\)
\(542\) 5.89587e6 2.14592e6i 0.862084 0.313773i
\(543\) −3.28408e6 5.68819e6i −0.477985 0.827894i
\(544\) −631073. + 1.09305e6i −0.0914286 + 0.158359i
\(545\) −2.46687e6 + 1.39903e7i −0.355758 + 2.01760i
\(546\) 9.79268e6 8.21704e6i 1.40579 1.17960i
\(547\) 3.11294e6 + 2.61207e6i 0.444839 + 0.373264i 0.837517 0.546412i \(-0.184007\pi\)
−0.392678 + 0.919676i \(0.628451\pi\)
\(548\) 230332. + 1.30628e6i 0.0327645 + 0.185816i
\(549\) −835388. 304056.i −0.118293 0.0430550i
\(550\) 8.91744e6 1.25700
\(551\) −5.22730e6 4.39428e6i −0.733497 0.616608i
\(552\) 458341. 0.0640237
\(553\) −9.68228e6 3.52406e6i −1.34637 0.490039i
\(554\) 127353. + 722256.i 0.0176293 + 0.0999809i
\(555\) 7.00828e6 + 5.88065e6i 0.965782 + 0.810387i
\(556\) −1.10387e6 + 926256.i −0.151436 + 0.127070i
\(557\) 1.79534e6 1.01819e7i 0.245194 1.39056i −0.574848 0.818260i \(-0.694939\pi\)
0.820042 0.572304i \(-0.193950\pi\)
\(558\) −2.16050e6 + 3.74209e6i −0.293744 + 0.508779i
\(559\) −128157. 221974.i −0.0173465 0.0300450i
\(560\) −4.09432e6 + 1.49021e6i −0.551711 + 0.200806i
\(561\) −1.17037e7 + 4.25981e6i −1.57006 + 0.571456i
\(562\) −4.61739e6 7.99756e6i −0.616675 1.06811i
\(563\) −4.77797e6 + 8.27569e6i −0.635291 + 1.10036i 0.351163 + 0.936314i \(0.385786\pi\)
−0.986453 + 0.164041i \(0.947547\pi\)
\(564\) 955096. 5.41662e6i 0.126430 0.717019i
\(565\) −1.68404e7 + 1.41308e7i −2.21938 + 1.86228i
\(566\) 7.11936e6 + 5.97385e6i 0.934114 + 0.783815i
\(567\) −154497. 876197.i −0.0201819 0.114457i
\(568\) −1.34059e6 487934.i −0.174351 0.0634586i
\(569\) 5.49168e6 0.711089 0.355545 0.934659i \(-0.384295\pi\)
0.355545 + 0.934659i \(0.384295\pi\)
\(570\) −7.47904e6 + 1.29271e7i −0.964181 + 1.66653i
\(571\) 7.79290e6 1.00025 0.500125 0.865953i \(-0.333287\pi\)
0.500125 + 0.865953i \(0.333287\pi\)
\(572\) 4.13193e6 + 1.50390e6i 0.528035 + 0.192189i
\(573\) 1.86955e6 + 1.06028e7i 0.237876 + 1.34906i
\(574\) −1.09185e7 9.16173e6i −1.38320 1.16064i
\(575\) 1.21036e6 1.01561e6i 0.152667 0.128103i
\(576\) 285946. 1.62168e6i 0.0359111 0.203662i
\(577\) 1.87425e6 3.24630e6i 0.234363 0.405929i −0.724724 0.689039i \(-0.758033\pi\)
0.959087 + 0.283110i \(0.0913662\pi\)
\(578\) −198714. 344183.i −0.0247405 0.0428519i
\(579\) 1.21895e7 4.43662e6i 1.51109 0.549992i
\(580\) 6.09591e6 2.21873e6i 0.752434 0.273864i
\(581\) 7.75665e6 + 1.34349e7i 0.953309 + 1.65118i
\(582\) −5.66660e6 + 9.81484e6i −0.693450 + 1.20109i
\(583\) 388668. 2.20425e6i 0.0473596 0.268589i
\(584\) 2.73042e6 2.29109e6i 0.331282 0.277978i
\(585\) 1.98737e7 + 1.66760e7i 2.40098 + 2.01466i
\(586\) 715899. + 4.06006e6i 0.0861207 + 0.488415i
\(587\) 5.37343e6 + 1.95577e6i 0.643660 + 0.234273i 0.643166 0.765727i \(-0.277621\pi\)
0.000493919 1.00000i \(0.499843\pi\)
\(588\) 6.65666e6 0.793986
\(589\) −4.22818e6 3822.10i −0.502186 0.000453956i
\(590\) 1.12460e7 1.33004
\(591\) −1.74888e7 6.36539e6i −2.05964 0.749647i
\(592\) −171402. 972068.i −0.0201007 0.113997i
\(593\) 3.82253e6 + 3.20749e6i 0.446390 + 0.374566i 0.838094 0.545525i \(-0.183670\pi\)
−0.391704 + 0.920091i \(0.628114\pi\)
\(594\) 4.92393e6 4.13167e6i 0.572593 0.480463i
\(595\) 3.64280e6 2.06594e7i 0.421836 2.39235i
\(596\) −606807. + 1.05102e6i −0.0699737 + 0.121198i
\(597\) 4.66245e6 + 8.07559e6i 0.535400 + 0.927339i
\(598\) 732104. 266464.i 0.0837181 0.0304709i
\(599\) 1.16806e7 4.25139e6i 1.33014 0.484132i 0.423448 0.905920i \(-0.360820\pi\)
0.906694 + 0.421788i \(0.138597\pi\)
\(600\) −4.55385e6 7.88750e6i −0.516417 0.894461i
\(601\) 1.34088e6 2.32247e6i 0.151427 0.262279i −0.780325 0.625374i \(-0.784947\pi\)
0.931752 + 0.363095i \(0.118280\pi\)
\(602\) 46955.6 266299.i 0.00528076 0.0299487i
\(603\) 81929.6 68747.1i 0.00917588 0.00769947i
\(604\) −3.94398e6 3.30939e6i −0.439888 0.369110i
\(605\) 44632.4 + 253123.i 0.00495749 + 0.0281153i
\(606\) −1.46584e7 5.33524e6i −1.62146 0.590163i
\(607\) −4.21605e6 −0.464444 −0.232222 0.972663i \(-0.574600\pi\)
−0.232222 + 0.972663i \(0.574600\pi\)
\(608\) 1.51465e6 549738.i 0.166170 0.0603110i
\(609\) −2.00794e7 −2.19385
\(610\) 776528. + 282633.i 0.0844954 + 0.0307538i
\(611\) −1.62347e6 9.20717e6i −0.175931 0.997753i
\(612\) 6.07349e6 + 5.09626e6i 0.655480 + 0.550013i
\(613\) −6.87125e6 + 5.76566e6i −0.738558 + 0.619724i −0.932450 0.361299i \(-0.882333\pi\)
0.193892 + 0.981023i \(0.437889\pi\)
\(614\) 1.16854e6 6.62711e6i 0.125090 0.709420i
\(615\) 2.32049e7 4.01921e7i 2.47396 4.28502i
\(616\) 2.31944e6 + 4.01738e6i 0.246281 + 0.426571i
\(617\) 1.28712e7 4.68472e6i 1.36115 0.495416i 0.444737 0.895661i \(-0.353297\pi\)
0.916408 + 0.400245i \(0.131075\pi\)
\(618\) 1.71920e6 625737.i 0.181074 0.0659054i
\(619\) −683721. 1.18424e6i −0.0717219 0.124226i 0.827934 0.560825i \(-0.189516\pi\)
−0.899656 + 0.436599i \(0.856183\pi\)
\(620\) 2.00827e6 3.47843e6i 0.209818 0.363416i
\(621\) 197764. 1.12158e6i 0.0205788 0.116708i
\(622\) −2.12550e6 + 1.78350e6i −0.220285 + 0.184841i
\(623\) −3.02833e6 2.54107e6i −0.312595 0.262299i
\(624\) −779840. 4.42269e6i −0.0801759 0.454700i
\(625\) −3.87214e6 1.40934e6i −0.396507 0.144317i
\(626\) −6.09611e6 −0.621752
\(627\) 1.49367e7 + 5.45182e6i 1.51735 + 0.553825i
\(628\) −2.66797e6 −0.269949
\(629\) 4.46581e6 + 1.62542e6i 0.450064 + 0.163810i
\(630\) 4.75270e6 + 2.69539e7i 0.477078 + 2.70564i
\(631\) 5.65734e6 + 4.74707e6i 0.565639 + 0.474627i 0.880195 0.474612i \(-0.157411\pi\)
−0.314557 + 0.949239i \(0.601856\pi\)
\(632\) −2.77290e6 + 2.32674e6i −0.276147 + 0.231715i
\(633\) −4.32384e6 + 2.45217e7i −0.428904 + 2.43243i
\(634\) −2.99613e6 + 5.18945e6i −0.296031 + 0.512741i
\(635\) −4.89787e6 8.48336e6i −0.482029 0.834899i
\(636\) −2.14814e6 + 781860.i −0.210582 + 0.0766454i
\(637\) 1.06326e7 3.86996e6i 1.03822 0.377883i
\(638\) −3.45334e6 5.98136e6i −0.335883 0.581766i
\(639\) −4.48078e6 + 7.76095e6i −0.434112 + 0.751904i
\(640\) −265799. + 1.50742e6i −0.0256510 + 0.145474i
\(641\) −1.52523e6 + 1.27982e6i −0.146619 + 0.123028i −0.713147 0.701014i \(-0.752731\pi\)
0.566528 + 0.824043i \(0.308286\pi\)
\(642\) 2.97622e6 + 2.49735e6i 0.284989 + 0.239134i
\(643\) 3.03365e6 + 1.72047e7i 0.289360 + 1.64104i 0.689283 + 0.724492i \(0.257926\pi\)
−0.399923 + 0.916549i \(0.630963\pi\)
\(644\) 772357. + 281115.i 0.0733844 + 0.0267097i
\(645\) 880476. 0.0833332
\(646\) −1.35408e6 + 7.63898e6i −0.127662 + 0.720202i
\(647\) 1.46630e7 1.37709 0.688544 0.725195i \(-0.258250\pi\)
0.688544 + 0.725195i \(0.258250\pi\)
\(648\) −293713. 106903.i −0.0274781 0.0100012i
\(649\) −2.07914e6 1.17914e7i −0.193763 1.09889i
\(650\) −1.18593e7 9.95117e6i −1.10097 0.923827i
\(651\) −9.52367e6 + 7.99131e6i −0.880748 + 0.739036i
\(652\) −1.69680e6 + 9.62300e6i −0.156319 + 0.886526i
\(653\) 4.66959e6 8.08796e6i 0.428544 0.742260i −0.568200 0.822891i \(-0.692360\pi\)
0.996744 + 0.0806303i \(0.0256933\pi\)
\(654\) −7.72380e6 1.33780e7i −0.706133 1.22306i
\(655\) −2.38851e7 + 8.69347e6i −2.17532 + 0.791753i
\(656\) −4.70526e6 + 1.71257e6i −0.426898 + 0.155378i
\(657\) −1.11949e7 1.93901e7i −1.01183 1.75254i
\(658\) 4.93163e6 8.54183e6i 0.444044 0.769106i
\(659\) 542640. 3.07747e6i 0.0486742 0.276045i −0.950751 0.309957i \(-0.899685\pi\)
0.999425 + 0.0339118i \(0.0107965\pi\)
\(660\) −1.15709e7 + 9.70912e6i −1.03397 + 0.867601i
\(661\) 5.66697e6 + 4.75515e6i 0.504484 + 0.423312i 0.859183 0.511668i \(-0.170972\pi\)
−0.354699 + 0.934980i \(0.615417\pi\)
\(662\) 355093. + 2.01383e6i 0.0314917 + 0.178599i
\(663\) 2.03185e7 + 7.39531e6i 1.79518 + 0.653390i
\(664\) 5.44994e6 0.479702
\(665\) −2.05316e7 + 1.71965e7i −1.80040 + 1.50794i
\(666\) −6.20040e6 −0.541669
\(667\) −1.14994e6 418544.i −0.100083 0.0364272i
\(668\) −85277.6 483633.i −0.00739424 0.0419348i
\(669\) −1.06835e7 8.96452e6i −0.922887 0.774394i
\(670\) −76157.0 + 63903.3i −0.00655425 + 0.00549967i
\(671\) 152777. 866442.i 0.0130994 0.0742905i
\(672\) 2.36892e6 4.10310e6i 0.202361 0.350500i
\(673\) −3.27104e6 5.66561e6i −0.278386 0.482179i 0.692597 0.721324i \(-0.256466\pi\)
−0.970984 + 0.239145i \(0.923133\pi\)
\(674\) 1.55766e7 5.66941e6i 1.32075 0.480716i
\(675\) −2.12659e7 + 7.74016e6i −1.79649 + 0.653868i
\(676\) −846489. 1.46616e6i −0.0712450 0.123400i
\(677\) −4.01356e6 + 6.95170e6i −0.336557 + 0.582934i −0.983783 0.179365i \(-0.942596\pi\)
0.647226 + 0.762298i \(0.275929\pi\)
\(678\) 4.15102e6 2.35416e7i 0.346801 1.96681i
\(679\) −1.55686e7 + 1.30636e7i −1.29591 + 1.08740i
\(680\) −5.64556e6 4.73719e6i −0.468204 0.392869i
\(681\) 2.19219e6 + 1.24325e7i 0.181138 + 1.02729i
\(682\) −4.01842e6 1.46259e6i −0.330822 0.120409i
\(683\) 4.90962e6 0.402714 0.201357 0.979518i \(-0.435465\pi\)
0.201357 + 0.979518i \(0.435465\pi\)
\(684\) −1.74862e6 9.96963e6i −0.142908 0.814777i
\(685\) −7.74511e6 −0.630669
\(686\) −291521. 106105.i −0.0236515 0.00860846i
\(687\) 1.55485e6 + 8.81799e6i 0.125689 + 0.712816i
\(688\) −72771.1 61062.2i −0.00586122 0.00491815i
\(689\) −2.97666e6 + 2.49771e6i −0.238881 + 0.200445i
\(690\) −464732. + 2.63563e6i −0.0371604 + 0.210747i
\(691\) −4.39173e6 + 7.60670e6i −0.349897 + 0.606040i −0.986231 0.165374i \(-0.947117\pi\)
0.636333 + 0.771414i \(0.280450\pi\)
\(692\) 76851.1 + 133110.i 0.00610078 + 0.0105669i
\(693\) 2.73825e7 9.96641e6i 2.16591 0.788326i
\(694\) 1.21707e7 4.42978e6i 0.959218 0.349127i
\(695\) −4.20705e6 7.28682e6i −0.330381 0.572237i
\(696\) −3.52702e6 + 6.10898e6i −0.275985 + 0.478019i
\(697\) 4.18637e6 2.37421e7i 0.326404 1.85113i
\(698\) −6.82107e6 + 5.72356e6i −0.529924 + 0.444659i
\(699\) −1.60132e7 1.34367e7i −1.23961 1.04016i
\(700\) −2.83611e6 1.60844e7i −0.218765 1.24068i
\(701\) 2.14762e7 + 7.81670e6i 1.65068 + 0.600798i 0.988858 0.148865i \(-0.0475619\pi\)
0.661820 + 0.749662i \(0.269784\pi\)
\(702\) −1.11590e7 −0.854637
\(703\) −3.02886e6 5.25710e6i −0.231148 0.401197i
\(704\) 1.62967e6 0.123928
\(705\) 3.01791e7 + 1.09843e7i 2.28683 + 0.832337i
\(706\) −739624. 4.19461e6i −0.0558469 0.316724i
\(707\) −2.14289e7 1.79810e7i −1.61232 1.35290i
\(708\) −9.36775e6 + 7.86048e6i −0.702348 + 0.589340i
\(709\) −1.40143e6 + 7.94790e6i −0.104702 + 0.593796i 0.886637 + 0.462467i \(0.153036\pi\)
−0.991339 + 0.131329i \(0.958076\pi\)
\(710\) 4.16508e6 7.21413e6i 0.310082 0.537079i
\(711\) 1.13690e7 + 1.96918e7i 0.843432 + 1.46087i
\(712\) −1.30504e6 + 474994.i −0.0964767 + 0.0351146i
\(713\) −711992. + 259144.i −0.0524507 + 0.0190905i
\(714\) 1.14057e7 + 1.97552e7i 0.837288 + 1.45023i
\(715\) −1.28375e7 + 2.22352e7i −0.939108 + 1.62658i
\(716\) 1.44694e6 8.20602e6i 0.105480 0.598205i
\(717\) 2.27358e7 1.90776e7i 1.65163 1.38588i
\(718\) 2.42030e6 + 2.03087e6i 0.175210 + 0.147019i
\(719\) −4.17538e6 2.36797e7i −0.301213 1.70826i −0.640816 0.767695i \(-0.721404\pi\)
0.339603 0.940569i \(-0.389707\pi\)
\(720\) 9.03533e6 + 3.28859e6i 0.649550 + 0.236417i
\(721\) 3.28083e6 0.235042
\(722\) 7.59871e6 6.35270e6i 0.542496 0.453539i
\(723\) −4.52289e6 −0.321788
\(724\) −3.88831e6 1.41523e6i −0.275686 0.100341i
\(725\) 4.22260e6 + 2.39475e7i 0.298356 + 1.69206i
\(726\) −214101. 179652.i −0.0150757 0.0126500i
\(727\) 4.82701e6 4.05034e6i 0.338721 0.284221i −0.457521 0.889199i \(-0.651263\pi\)
0.796242 + 0.604978i \(0.206818\pi\)
\(728\) 1.39846e6 7.93104e6i 0.0977959 0.554628i
\(729\) 1.14813e7 1.98862e7i 0.800152 1.38590i
\(730\) 1.04061e7 + 1.80239e7i 0.722740 + 1.25182i
\(731\) 429794. 156432.i 0.0297486 0.0108276i
\(732\) −844389. + 307332.i −0.0582458 + 0.0211997i
\(733\) −9.20180e6 1.59380e7i −0.632576 1.09565i −0.987023 0.160578i \(-0.948664\pi\)
0.354447 0.935076i \(-0.384669\pi\)
\(734\) −7.20664e6 + 1.24823e7i −0.493734 + 0.855172i
\(735\) −6.74948e6 + 3.82782e7i −0.460842 + 2.61356i
\(736\) 221194. 185604.i 0.0150515 0.0126297i
\(737\) 81082.4 + 68036.2i 0.00549867 + 0.00461393i
\(738\) 5.46188e6 + 3.09759e7i 0.369149 + 2.09355i
\(739\) 1.91984e6 + 698765.i 0.129316 + 0.0470674i 0.405868 0.913932i \(-0.366969\pi\)
−0.276551 + 0.960999i \(0.589192\pi\)
\(740\) 5.76353e6 0.386910
\(741\) −1.37806e7 2.39186e7i −0.921983 1.60026i
\(742\) −4.09940e6 −0.273345
\(743\) 2.00671e7 + 7.30384e6i 1.33356 + 0.485377i 0.907780 0.419448i \(-0.137776\pi\)
0.425784 + 0.904825i \(0.359998\pi\)
\(744\) 758417. + 4.30120e6i 0.0502315 + 0.284877i
\(745\) −5.42848e6 4.55503e6i −0.358333 0.300677i
\(746\) 5.28114e6 4.43140e6i 0.347441 0.291537i
\(747\) 5.94479e6 3.37146e7i 0.389794 2.21063i
\(748\) −3.92319e6 + 6.79517e6i −0.256381 + 0.444065i
\(749\) 3.48357e6 + 6.03372e6i 0.226892 + 0.392989i
\(750\) 2.21026e7 8.04469e6i 1.43480 0.522223i
\(751\) 7.86870e6 2.86397e6i 0.509100 0.185297i −0.0746824 0.997207i \(-0.523794\pi\)
0.583783 + 0.811910i \(0.301572\pi\)
\(752\) −1.73252e6 3.00081e6i −0.111721 0.193506i
\(753\) 3.13325e6 5.42695e6i 0.201376 0.348793i
\(754\) −2.08212e6 + 1.18083e7i −0.133376 + 0.756413i
\(755\) 2.30292e7 1.93238e7i 1.47032 1.23374i
\(756\) −9.01829e6 7.56724e6i −0.573878 0.481541i
\(757\) −282321. 1.60112e6i −0.0179062 0.101551i 0.974545 0.224193i \(-0.0719745\pi\)
−0.992451 + 0.122642i \(0.960863\pi\)
\(758\) −5.04176e6 1.83505e6i −0.318720 0.116005i
\(759\) 2.84937e6 0.179533
\(760\) 1.62542e6 + 9.26719e6i 0.102078 + 0.581988i
\(761\) −5.87944e6 −0.368022 −0.184011 0.982924i \(-0.558908\pi\)
−0.184011 + 0.982924i \(0.558908\pi\)
\(762\) 1.00094e7 + 3.64313e6i 0.624483 + 0.227293i
\(763\) −4.81033e6 2.72807e7i −0.299132 1.69646i
\(764\) 5.19580e6 + 4.35979e6i 0.322047 + 0.270229i
\(765\) −3.54635e7 + 2.97574e7i −2.19093 + 1.83841i
\(766\) −733141. + 4.15785e6i −0.0451456 + 0.256034i
\(767\) −1.03932e7 + 1.80015e7i −0.637912 + 1.10490i
\(768\) −832221. </