Properties

Label 36.6.h.a.11.12
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 11.12
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.78216 + 5.36879i) q^{2} +(-15.4584 + 2.00950i) q^{3} +(-25.6478 - 19.1360i) q^{4} +(12.8631 - 7.42651i) q^{5} +(16.7607 - 86.5741i) q^{6} +(-15.2989 - 8.83282i) q^{7} +(148.446 - 103.595i) q^{8} +(234.924 - 62.1273i) q^{9} +O(q^{10})\) \(q+(-1.78216 + 5.36879i) q^{2} +(-15.4584 + 2.00950i) q^{3} +(-25.6478 - 19.1360i) q^{4} +(12.8631 - 7.42651i) q^{5} +(16.7607 - 86.5741i) q^{6} +(-15.2989 - 8.83282i) q^{7} +(148.446 - 103.595i) q^{8} +(234.924 - 62.1273i) q^{9} +(16.9473 + 82.2944i) q^{10} +(143.245 - 248.107i) q^{11} +(434.928 + 244.273i) q^{12} +(42.2460 + 73.1722i) q^{13} +(74.6866 - 66.3951i) q^{14} +(-183.919 + 140.650i) q^{15} +(291.624 + 981.596i) q^{16} -1609.65i q^{17} +(-85.1221 + 1371.98i) q^{18} -1669.01i q^{19} +(-472.025 - 55.6747i) q^{20} +(254.246 + 105.798i) q^{21} +(1076.75 + 1211.22i) q^{22} +(-2324.29 - 4025.79i) q^{23} +(-2086.56 + 1899.71i) q^{24} +(-1452.19 + 2515.27i) q^{25} +(-468.135 + 96.4056i) q^{26} +(-3506.70 + 1432.47i) q^{27} +(223.358 + 519.303i) q^{28} +(2414.87 + 1394.23i) q^{29} +(-427.350 - 1238.08i) q^{30} +(2781.39 - 1605.84i) q^{31} +(-5789.71 - 183.691i) q^{32} +(-1715.76 + 4123.19i) q^{33} +(8641.85 + 2868.64i) q^{34} -262.388 q^{35} +(-7214.16 - 2902.08i) q^{36} -4624.19 q^{37} +(8960.54 + 2974.43i) q^{38} +(-800.094 - 1046.23i) q^{39} +(1140.13 - 2434.98i) q^{40} +(9810.20 - 5663.92i) q^{41} +(-1021.11 + 1176.44i) q^{42} +(12396.0 + 7156.83i) q^{43} +(-8421.70 + 3622.27i) q^{44} +(2560.46 - 2543.81i) q^{45} +(25755.9 - 5304.05i) q^{46} +(-1695.63 + 2936.92i) q^{47} +(-6480.55 - 14587.9i) q^{48} +(-8247.46 - 14285.0i) q^{49} +(-10915.9 - 12279.1i) q^{50} +(3234.59 + 24882.5i) q^{51} +(316.708 - 2685.13i) q^{52} -31068.4i q^{53} +(-1441.14 - 21379.6i) q^{54} -4255.23i q^{55} +(-3186.09 + 273.686i) q^{56} +(3353.87 + 25800.1i) q^{57} +(-11789.0 + 10480.2i) q^{58} +(10900.3 + 18879.9i) q^{59} +(7408.62 - 87.8919i) q^{60} +(-17894.5 + 30994.2i) q^{61} +(3664.53 + 17794.5i) q^{62} +(-4142.84 - 1124.56i) q^{63} +(11304.4 - 30756.4i) q^{64} +(1086.83 + 627.480i) q^{65} +(-19078.8 - 16559.7i) q^{66} +(-18015.5 + 10401.2i) q^{67} +(-30802.3 + 41283.9i) q^{68} +(44019.6 + 57561.6i) q^{69} +(467.617 - 1408.71i) q^{70} +42271.8 q^{71} +(28437.4 - 33559.4i) q^{72} -72975.6 q^{73} +(8241.02 - 24826.3i) q^{74} +(17394.1 - 41800.3i) q^{75} +(-31938.2 + 42806.4i) q^{76} +(-4382.97 + 2530.51i) q^{77} +(7042.89 - 2430.99i) q^{78} +(-76047.9 - 43906.3i) q^{79} +(11041.0 + 10460.6i) q^{80} +(51329.4 - 29190.4i) q^{81} +(12925.1 + 62762.9i) q^{82} +(-12234.8 + 21191.3i) q^{83} +(-4496.30 - 7578.75i) q^{84} +(-11954.1 - 20705.0i) q^{85} +(-60515.1 + 53796.9i) q^{86} +(-40131.7 - 16699.8i) q^{87} +(-4438.45 - 51669.8i) q^{88} -119158. i q^{89} +(9094.07 + 18280.0i) q^{90} -1492.60i q^{91} +(-17424.6 + 147731. i) q^{92} +(-39768.9 + 30412.8i) q^{93} +(-12745.9 - 14337.6i) q^{94} +(-12394.9 - 21468.6i) q^{95} +(89868.7 - 8794.85i) q^{96} +(39575.0 - 68545.9i) q^{97} +(91391.6 - 18820.8i) q^{98} +(18237.4 - 67185.7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.78216 + 5.36879i −0.315044 + 0.949077i
\(3\) −15.4584 + 2.00950i −0.991656 + 0.128910i
\(4\) −25.6478 19.1360i −0.801495 0.598001i
\(5\) 12.8631 7.42651i 0.230102 0.132849i −0.380517 0.924774i \(-0.624254\pi\)
0.610619 + 0.791924i \(0.290921\pi\)
\(6\) 16.7607 86.5741i 0.190070 0.981771i
\(7\) −15.2989 8.83282i −0.118009 0.0681325i 0.439834 0.898079i \(-0.355037\pi\)
−0.557843 + 0.829947i \(0.688371\pi\)
\(8\) 148.446 103.595i 0.820055 0.572284i
\(9\) 234.924 62.1273i 0.966765 0.255668i
\(10\) 16.9473 + 82.2944i 0.0535922 + 0.260238i
\(11\) 143.245 248.107i 0.356941 0.618240i −0.630507 0.776184i \(-0.717153\pi\)
0.987448 + 0.157943i \(0.0504863\pi\)
\(12\) 434.928 + 244.273i 0.871896 + 0.489691i
\(13\) 42.2460 + 73.1722i 0.0693309 + 0.120085i 0.898607 0.438755i \(-0.144580\pi\)
−0.829276 + 0.558839i \(0.811247\pi\)
\(14\) 74.6866 66.3951i 0.101841 0.0905349i
\(15\) −183.919 + 140.650i −0.211057 + 0.161403i
\(16\) 291.624 + 981.596i 0.284789 + 0.958590i
\(17\) 1609.65i 1.35085i −0.737427 0.675427i \(-0.763960\pi\)
0.737427 0.675427i \(-0.236040\pi\)
\(18\) −85.1221 + 1371.98i −0.0619243 + 0.998081i
\(19\) 1669.01i 1.06065i −0.847793 0.530327i \(-0.822069\pi\)
0.847793 0.530327i \(-0.177931\pi\)
\(20\) −472.025 55.6747i −0.263870 0.0311231i
\(21\) 254.246 + 105.798i 0.125807 + 0.0523516i
\(22\) 1076.75 + 1211.22i 0.474306 + 0.533537i
\(23\) −2324.29 4025.79i −0.916159 1.58683i −0.805196 0.593009i \(-0.797940\pi\)
−0.110963 0.993825i \(1.46461\pi\)
\(24\) −2086.56 + 1899.71i −0.739440 + 0.673222i
\(25\) −1452.19 + 2515.27i −0.464702 + 0.804888i
\(26\) −468.135 + 96.4056i −0.135812 + 0.0279685i
\(27\) −3506.70 + 1432.47i −0.925740 + 0.378160i
\(28\) 223.358 + 519.303i 0.0538403 + 0.125177i
\(29\) 2414.87 + 1394.23i 0.533211 + 0.307850i 0.742323 0.670042i \(-0.233724\pi\)
−0.209112 + 0.977892i \(0.567057\pi\)
\(30\) −427.350 1238.08i −0.0866922 0.251158i
\(31\) 2781.39 1605.84i 0.519825 0.300121i −0.217038 0.976163i \(-0.569640\pi\)
0.736863 + 0.676042i \(0.236306\pi\)
\(32\) −5789.71 183.691i −0.999497 0.0317113i
\(33\) −1715.76 + 4123.19i −0.274266 + 0.659095i
\(34\) 8641.85 + 2868.64i 1.28206 + 0.425578i
\(35\) −262.388 −0.0362055
\(36\) −7214.16 2902.08i −0.927747 0.373210i
\(37\) −4624.19 −0.555304 −0.277652 0.960682i \(-0.589556\pi\)
−0.277652 + 0.960682i \(0.589556\pi\)
\(38\) 8960.54 + 2974.43i 1.00664 + 0.334152i
\(39\) −800.094 1046.23i −0.0842325 0.110145i
\(40\) 1140.13 2434.98i 0.112669 0.240628i
\(41\) 9810.20 5663.92i 0.911420 0.526208i 0.0305320 0.999534i \(-0.490280\pi\)
0.880888 + 0.473325i \(0.156947\pi\)
\(42\) −1021.11 + 1176.44i −0.0893204 + 0.102908i
\(43\) 12396.0 + 7156.83i 1.02237 + 0.590268i 0.914791 0.403928i \(-0.132355\pi\)
0.107584 + 0.994196i \(0.465689\pi\)
\(44\) −8421.70 + 3622.27i −0.655795 + 0.282065i
\(45\) 2560.46 2543.81i 0.188489 0.187264i
\(46\) 25755.9 5304.05i 1.79466 0.369584i
\(47\) −1695.63 + 2936.92i −0.111966 + 0.193931i −0.916563 0.399890i \(-0.869048\pi\)
0.804597 + 0.593822i \(0.202382\pi\)
\(48\) −6480.55 14587.9i −0.405984 0.913880i
\(49\) −8247.46 14285.0i −0.490716 0.849945i
\(50\) −10915.9 12279.1i −0.617499 0.694613i
\(51\) 3234.59 + 24882.5i 0.174138 + 1.33958i
\(52\) 316.708 2685.13i 0.0162424 0.137707i
\(53\) 31068.4i 1.51925i −0.650360 0.759626i \(-0.725382\pi\)
0.650360 0.759626i \(-0.274618\pi\)
\(54\) −1441.14 21379.6i −0.0672545 0.997736i
\(55\) 4255.23i 0.189678i
\(56\) −3186.09 + 273.686i −0.135765 + 0.0116622i
\(57\) 3353.87 + 25800.1i 0.136729 + 1.05180i
\(58\) −11789.0 + 10480.2i −0.460158 + 0.409072i
\(59\) 10900.3 + 18879.9i 0.407671 + 0.706107i 0.994628 0.103511i \(-0.0330077\pi\)
−0.586957 + 0.809618i \(0.699674\pi\)
\(60\) 7408.62 87.8919i 0.265680 0.00315189i
\(61\) −17894.5 + 30994.2i −0.615736 + 1.06649i 0.374519 + 0.927219i \(0.377808\pi\)
−0.990255 + 0.139267i \(0.955525\pi\)
\(62\) 3664.53 + 17794.5i 0.121071 + 0.587906i
\(63\) −4142.84 1124.56i −0.131506 0.0356970i
\(64\) 11304.4 30756.4i 0.344982 0.938609i
\(65\) 1086.83 + 627.480i 0.0319064 + 0.0184211i
\(66\) −19078.8 16559.7i −0.539126 0.467943i
\(67\) −18015.5 + 10401.2i −0.490296 + 0.283072i −0.724697 0.689068i \(-0.758020\pi\)
0.234401 + 0.972140i \(0.424687\pi\)
\(68\) −30802.3 + 41283.9i −0.807812 + 1.08270i
\(69\) 44019.6 + 57561.6i 1.11307 + 1.45549i
\(70\) 467.617 1408.71i 0.0114063 0.0343618i
\(71\) 42271.8 0.995187 0.497593 0.867410i \(-0.334217\pi\)
0.497593 + 0.867410i \(0.334217\pi\)
\(72\) 28437.4 33559.4i 0.646486 0.762926i
\(73\) −72975.6 −1.60277 −0.801384 0.598150i \(-0.795903\pi\)
−0.801384 + 0.598150i \(0.795903\pi\)
\(74\) 8241.02 24826.3i 0.174945 0.527027i
\(75\) 17394.1 41800.3i 0.357067 0.858076i
\(76\) −31938.2 + 42806.4i −0.634273 + 0.850109i
\(77\) −4382.97 + 2530.51i −0.0842445 + 0.0486386i
\(78\) 7042.89 2430.99i 0.131073 0.0452426i
\(79\) −76047.9 43906.3i −1.37094 0.791514i −0.379896 0.925029i \(-0.624040\pi\)
−0.991047 + 0.133515i \(0.957374\pi\)
\(80\) 11041.0 + 10460.6i 0.192879 + 0.182739i
\(81\) 51329.4 29190.4i 0.869268 0.494342i
\(82\) 12925.1 + 62762.9i 0.212275 + 1.03079i
\(83\) −12234.8 + 21191.3i −0.194940 + 0.337646i −0.946881 0.321585i \(-0.895785\pi\)
0.751941 + 0.659231i \(0.229118\pi\)
\(84\) −4496.30 7578.75i −0.0695276 0.117192i
\(85\) −11954.1 20705.0i −0.179460 0.310834i
\(86\) −60515.1 + 53796.9i −0.882302 + 0.784352i
\(87\) −40131.7 16699.8i −0.568447 0.236545i
\(88\) −4438.45 51669.8i −0.0610976 0.711263i
\(89\) 119158.i 1.59459i −0.603588 0.797296i \(-0.706263\pi\)
0.603588 0.797296i \(-0.293737\pi\)
\(90\) 9094.07 + 18280.0i 0.118346 + 0.237887i
\(91\) 1492.60i 0.0188948i
\(92\) −17424.6 + 147731.i −0.214632 + 1.81970i
\(93\) −39768.9 + 30412.8i −0.476800 + 0.364628i
\(94\) −12745.9 14337.6i −0.148782 0.167362i
\(95\) −12394.9 21468.6i −0.140907 0.244059i
\(96\) 89868.7 8794.85i 0.995246 0.0973981i
\(97\) 39575.0 68545.9i 0.427062 0.739694i −0.569548 0.821958i \(-0.692882\pi\)
0.996611 + 0.0822641i \(0.0262151\pi\)
\(98\) 91391.6 18820.8i 0.961260 0.197958i
\(99\) 18237.4 67185.7i 0.187014 0.688951i
\(100\) 85378.0 36722.1i 0.853780 0.367221i
\(101\) 116647. + 67346.1i 1.13781 + 0.656915i 0.945887 0.324495i \(-0.105194\pi\)
0.191923 + 0.981410i \(0.438528\pi\)
\(102\) −139354. 26978.7i −1.32623 0.256756i
\(103\) 87239.5 50367.8i 0.810252 0.467799i −0.0367911 0.999323i \(-0.511714\pi\)
0.847044 + 0.531524i \(0.178380\pi\)
\(104\) 13851.5 + 6485.66i 0.125578 + 0.0587991i
\(105\) 4056.10 527.269i 0.0359034 0.00466723i
\(106\) 166800. + 55368.8i 1.44189 + 0.478631i
\(107\) −14924.9 −0.126024 −0.0630118 0.998013i \(-0.520071\pi\)
−0.0630118 + 0.998013i \(0.520071\pi\)
\(108\) 117351. + 30364.6i 0.968116 + 0.250501i
\(109\) 34005.6 0.274148 0.137074 0.990561i \(-0.456230\pi\)
0.137074 + 0.990561i \(0.456230\pi\)
\(110\) 22845.4 + 7583.48i 0.180019 + 0.0597568i
\(111\) 71482.5 9292.31i 0.550671 0.0715840i
\(112\) 4208.75 17593.2i 0.0317035 0.132526i
\(113\) −89706.6 + 51792.2i −0.660889 + 0.381564i −0.792616 0.609722i \(-0.791281\pi\)
0.131727 + 0.991286i \(0.457948\pi\)
\(114\) −144493. 27973.7i −1.04132 0.201598i
\(115\) −59795.1 34522.7i −0.421620 0.243422i
\(116\) −35256.3 81970.0i −0.243272 0.565601i
\(117\) 14470.6 + 14565.3i 0.0977285 + 0.0983679i
\(118\) −120789. + 24874.6i −0.798584 + 0.164457i
\(119\) −14217.7 + 24625.8i −0.0920370 + 0.159413i
\(120\) −12731.4 + 39932.0i −0.0807094 + 0.253144i
\(121\) 39487.4 + 68394.3i 0.245186 + 0.424674i
\(122\) −134510. 151308.i −0.818194 0.920371i
\(123\) −140268. + 107269.i −0.835982 + 0.639309i
\(124\) −102066. 12038.6i −0.596110 0.0703105i
\(125\) 89554.6i 0.512640i
\(126\) 13420.7 20237.9i 0.0753094 0.113563i
\(127\) 323553.i 1.78007i 0.455894 + 0.890034i \(0.349320\pi\)
−0.455894 + 0.890034i \(0.650680\pi\)
\(128\) 144978. + 115503.i 0.782129 + 0.623117i
\(129\) −206004. 85723.3i −1.08994 0.453549i
\(130\) −5305.71 + 4716.68i −0.0275350 + 0.0244781i
\(131\) −70996.7 122970.i −0.361460 0.626066i 0.626742 0.779227i \(-0.284388\pi\)
−0.988201 + 0.153161i \(0.951055\pi\)
\(132\) 122907. 72918.0i 0.613963 0.364250i
\(133\) −14742.0 + 25534.0i −0.0722650 + 0.125167i
\(134\) −23735.7 115258.i −0.114193 0.554509i
\(135\) −34468.8 + 44468.5i −0.162776 + 0.209999i
\(136\) −166750. 238945.i −0.773072 1.10777i
\(137\) −51712.9 29856.5i −0.235395 0.135906i 0.377663 0.925943i \(-0.376728\pi\)
−0.613059 + 0.790037i \(0.710061\pi\)
\(138\) −387486. + 133748.i −1.73204 + 0.597849i
\(139\) 310879. 179486.i 1.36475 0.787941i 0.374501 0.927227i \(-0.377814\pi\)
0.990252 + 0.139286i \(0.0444807\pi\)
\(140\) 6729.69 + 5021.07i 0.0290185 + 0.0216509i
\(141\) 20310.0 48807.5i 0.0860325 0.206747i
\(142\) −75334.9 + 226948.i −0.313527 + 0.944509i
\(143\) 24206.0 0.0989882
\(144\) 129493. + 212483.i 0.520405 + 0.853920i
\(145\) 41417.0 0.163591
\(146\) 130054. 391791.i 0.504942 1.52115i
\(147\) 156198. + 204250.i 0.596188 + 0.779595i
\(148\) 118600. + 88488.6i 0.445074 + 0.332073i
\(149\) −175221. + 101164.i −0.646576 + 0.373301i −0.787143 0.616770i \(-0.788441\pi\)
0.140567 + 0.990071i \(0.455107\pi\)
\(150\) 193418. + 167880.i 0.701889 + 0.609216i
\(151\) −15615.5 9015.60i −0.0557331 0.0321775i 0.471875 0.881666i \(-0.343578\pi\)
−0.527608 + 0.849488i \(0.676911\pi\)
\(152\) −172900. 247757.i −0.606996 0.869795i
\(153\) −100003. 378144.i −0.345370 1.30596i
\(154\) −5774.64 28041.0i −0.0196211 0.0952779i
\(155\) 23851.5 41312.0i 0.0797419 0.138117i
\(156\) 499.977 + 42144.2i 0.00164490 + 0.138652i
\(157\) 238209. + 412590.i 0.771274 + 1.33589i 0.936865 + 0.349692i \(0.113714\pi\)
−0.165590 + 0.986195i \(0.552953\pi\)
\(158\) 371253. 330037.i 1.18312 1.05177i
\(159\) 62432.1 + 480268.i 0.195846 + 1.50658i
\(160\) −75837.7 + 40634.5i −0.234199 + 0.125486i
\(161\) 82120.2i 0.249681i
\(162\) 65240.1 + 327599.i 0.195311 + 0.980741i
\(163\) 243580.i 0.718080i 0.933322 + 0.359040i \(0.116896\pi\)
−0.933322 + 0.359040i \(0.883104\pi\)
\(164\) −359996. 42461.1i −1.04517 0.123277i
\(165\) 8550.89 + 65779.0i 0.0244513 + 0.188095i
\(166\) −91967.2 103452.i −0.259037 0.291386i
\(167\) 21086.7 + 36523.3i 0.0585083 + 0.101339i 0.893796 0.448474i \(-0.148032\pi\)
−0.835288 + 0.549813i \(0.814699\pi\)
\(168\) 48701.9 10633.2i 0.133129 0.0290663i
\(169\) 182077. 315367.i 0.490386 0.849374i
\(170\) 132465. 27279.2i 0.351543 0.0723952i
\(171\) −103691. 392089.i −0.271175 1.02540i
\(172\) −180977. 420767.i −0.466447 1.08448i
\(173\) 94858.3 + 54766.5i 0.240968 + 0.139123i 0.615622 0.788042i \(-0.288905\pi\)
−0.374653 + 0.927165i \(0.622238\pi\)
\(174\) 161179. 185697.i 0.403585 0.464978i
\(175\) 44433.9 25653.9i 0.109678 0.0633226i
\(176\) 285314. + 68254.6i 0.694292 + 0.166093i
\(177\) −206441. 269949.i −0.495294 0.647663i
\(178\) 639737. + 212359.i 1.51339 + 0.502366i
\(179\) −264309. −0.616566 −0.308283 0.951295i \(-0.599754\pi\)
−0.308283 + 0.951295i \(0.599754\pi\)
\(180\) −114349. + 16246.3i −0.263057 + 0.0373743i
\(181\) 508179. 1.15298 0.576488 0.817105i \(-0.304423\pi\)
0.576488 + 0.817105i \(0.304423\pi\)
\(182\) 8013.48 + 2660.05i 0.0179326 + 0.00595267i
\(183\) 214337. 515079.i 0.473118 1.13696i
\(184\) −762081. 356828.i −1.65942 0.776988i
\(185\) −59481.3 + 34341.6i −0.127777 + 0.0737718i
\(186\) −92405.9 267711.i −0.195847 0.567393i
\(187\) −399364. 230573.i −0.835152 0.482175i
\(188\) 99690.5 42878.0i 0.205712 0.0884790i
\(189\) 66301.4 + 9058.87i 0.135011 + 0.0184467i
\(190\) 137350. 28285.2i 0.276022 0.0568428i
\(191\) 52294.2 90576.3i 0.103722 0.179652i −0.809493 0.587129i \(-0.800258\pi\)
0.913215 + 0.407477i \(0.133591\pi\)
\(192\) −112942. + 498160.i −0.221107 + 0.975249i
\(193\) −271784. 470744.i −0.525207 0.909685i −0.999569 0.0293554i \(-0.990655\pi\)
0.474362 0.880330i \(-0.342679\pi\)
\(194\) 297480. + 334629.i 0.567483 + 0.638351i
\(195\) −18061.5 7515.85i −0.0340148 0.0141544i
\(196\) −61829.2 + 524204.i −0.114962 + 0.974675i
\(197\) 922105.i 1.69284i 0.532519 + 0.846418i \(0.321245\pi\)
−0.532519 + 0.846418i \(0.678755\pi\)
\(198\) 328204. + 217648.i 0.594950 + 0.394540i
\(199\) 93172.6i 0.166784i 0.996517 + 0.0833922i \(0.0265754\pi\)
−0.996517 + 0.0833922i \(0.973425\pi\)
\(200\) 44996.3 + 523821.i 0.0795430 + 0.925994i
\(201\) 257589. 196988.i 0.449714 0.343914i
\(202\) −569450. + 506232.i −0.981923 + 0.872913i
\(203\) −24629.9 42660.3i −0.0419491 0.0726580i
\(204\) 393193. 700081.i 0.661501 1.17780i
\(205\) 84126.4 145711.i 0.139813 0.242163i
\(206\) 114940. + 558134.i 0.188713 + 0.916369i
\(207\) −796143. 801352.i −1.29141 1.29986i
\(208\) −59505.6 + 62807.2i −0.0953673 + 0.100659i
\(209\) −414092. 239076.i −0.655739 0.378591i
\(210\) −4397.80 + 22716.0i −0.00688157 + 0.0355455i
\(211\) 4637.49 2677.46i 0.00717096 0.00414015i −0.496410 0.868088i \(-0.665349\pi\)
0.503581 + 0.863948i \(0.332015\pi\)
\(212\) −594527. + 796839.i −0.908515 + 1.21767i
\(213\) −653454. + 84945.2i −0.986883 + 0.128289i
\(214\) 26598.5 80128.7i 0.0397029 0.119606i
\(215\) 212601. 0.313667
\(216\) −372159. + 575919.i −0.542743 + 0.839899i
\(217\) −56736.2 −0.0817921
\(218\) −60603.4 + 182569.i −0.0863685 + 0.260187i
\(219\) 1.12809e6 146645.i 1.58940 0.206612i
\(220\) −81428.3 + 109137.i −0.113428 + 0.152026i
\(221\) 117781. 68001.1i 0.162217 0.0936559i
\(222\) −77504.4 + 400335.i −0.105547 + 0.545181i
\(223\) −714552. 412547.i −0.962214 0.555535i −0.0653606 0.997862i \(-0.520820\pi\)
−0.896854 + 0.442327i \(0.854153\pi\)
\(224\) 86953.6 + 53949.7i 0.115789 + 0.0718405i
\(225\) −184888. + 681119.i −0.243474 + 0.896946i
\(226\) −118190. 573918.i −0.153925 0.747444i
\(227\) −222824. + 385943.i −0.287011 + 0.497117i −0.973095 0.230405i \(-0.925995\pi\)
0.686084 + 0.727522i \(0.259328\pi\)
\(228\) 407693. 725898.i 0.519393 0.924780i
\(229\) 121497. + 210439.i 0.153101 + 0.265178i 0.932366 0.361516i \(-0.117741\pi\)
−0.779265 + 0.626694i \(0.784407\pi\)
\(230\) 291910. 259503.i 0.363855 0.323461i
\(231\) 62668.6 47925.2i 0.0772716 0.0590927i
\(232\) 502912. 43200.2i 0.613440 0.0526946i
\(233\) 483894.i 0.583930i −0.956429 0.291965i \(-0.905691\pi\)
0.956429 0.291965i \(-0.0943091\pi\)
\(234\) −103987. + 51732.0i −0.124147 + 0.0617617i
\(235\) 50370.6i 0.0594987i
\(236\) 81717.2 692819.i 0.0955066 0.809729i
\(237\) 1.26381e6 + 525902.i 1.46154 + 0.608183i
\(238\) −106873. 120219.i −0.122299 0.137572i
\(239\) 374928. + 649395.i 0.424574 + 0.735384i 0.996381 0.0850045i \(-0.0270905\pi\)
−0.571806 + 0.820389i \(0.693757\pi\)
\(240\) −191697. 139517.i −0.214826 0.156351i
\(241\) −214184. + 370977.i −0.237544 + 0.411438i −0.960009 0.279969i \(-0.909676\pi\)
0.722465 + 0.691408i \(0.243009\pi\)
\(242\) −437567. + 90110.6i −0.480293 + 0.0989094i
\(243\) −734812. + 554383.i −0.798289 + 0.602274i
\(244\) 1.05206e6 452504.i 1.13127 0.486572i
\(245\) −212176. 122500.i −0.225829 0.130383i
\(246\) −325924. 944241.i −0.343383 0.994821i
\(247\) 122125. 70508.8i 0.127368 0.0735361i
\(248\) 246530. 526516.i 0.254531 0.543604i
\(249\) 146546. 352169.i 0.149788 0.359958i
\(250\) −480800. 159600.i −0.486535 0.161504i
\(251\) 168039. 0.168355 0.0841773 0.996451i \(-0.473174\pi\)
0.0841773 + 0.996451i \(0.473174\pi\)
\(252\) 84735.1 + 108120.i 0.0840547 + 0.107252i
\(253\) −1.33177e6 −1.30806
\(254\) −1.73709e6 576623.i −1.68942 0.560799i
\(255\) 226397. + 296045.i 0.218032 + 0.285106i
\(256\) −878487. + 572513.i −0.837791 + 0.545991i
\(257\) 1.21515e6 701569.i 1.14762 0.662579i 0.199314 0.979936i \(-0.436129\pi\)
0.948306 + 0.317357i \(0.102795\pi\)
\(258\) 827361. 953219.i 0.773830 0.891545i
\(259\) 70744.9 + 40844.6i 0.0655309 + 0.0378343i
\(260\) −15867.3 36891.1i −0.0145569 0.0338445i
\(261\) 653930. + 177508.i 0.594197 + 0.161293i
\(262\) 786727. 162015.i 0.708061 0.145815i
\(263\) 465252. 805840.i 0.414762 0.718388i −0.580642 0.814159i \(-0.697198\pi\)
0.995403 + 0.0957708i \(0.0305316\pi\)
\(264\) 172442. + 789813.i 0.152276 + 0.697453i
\(265\) −230730. 399636.i −0.201832 0.349583i
\(266\) −110814. 124652.i −0.0960263 0.108018i
\(267\) 239449. + 1.84200e6i 0.205558 + 1.58129i
\(268\) 661096. + 77975.5i 0.562247 + 0.0663164i
\(269\) 1.02733e6i 0.865621i −0.901485 0.432810i \(-0.857522\pi\)
0.901485 0.432810i \(-0.142478\pi\)
\(270\) −177313. 264305.i −0.148024 0.220646i
\(271\) 1.66981e6i 1.38116i 0.723255 + 0.690581i \(0.242645\pi\)
−0.723255 + 0.690581i \(0.757355\pi\)
\(272\) 1.58002e6 469411.i 1.29491 0.384708i
\(273\) 2999.39 + 23073.3i 0.00243572 + 0.0187371i
\(274\) 252454. 224427.i 0.203145 0.180592i
\(275\) 416038. + 720599.i 0.331743 + 0.574595i
\(276\) −27507.7 2.31869e6i −0.0217361 1.83219i
\(277\) −531248. + 920149.i −0.416004 + 0.720541i −0.995533 0.0944109i \(-0.969903\pi\)
0.579529 + 0.814952i \(0.303237\pi\)
\(278\) 409588. + 1.98892e6i 0.317860 + 1.54349i
\(279\) 553648. 550049.i 0.425817 0.423049i
\(280\) −38950.4 + 27182.0i −0.0296905 + 0.0207198i
\(281\) −728876. 420817.i −0.550666 0.317927i 0.198725 0.980055i \(-0.436320\pi\)
−0.749390 + 0.662128i \(0.769653\pi\)
\(282\) 225842. + 196023.i 0.169115 + 0.146786i
\(283\) 1.59876e6 923047.i 1.18664 0.685106i 0.229097 0.973404i \(-0.426423\pi\)
0.957541 + 0.288298i \(0.0930893\pi\)
\(284\) −1.08418e6 808914.i −0.797637 0.595123i
\(285\) 234746. + 306962.i 0.171193 + 0.223858i
\(286\) −43138.9 + 129957.i −0.0311856 + 0.0939475i
\(287\) −200114. −0.143408
\(288\) −1.37155e6 + 316545.i −0.974386 + 0.224882i
\(289\) −1.17110e6 −0.824804
\(290\) −73811.5 + 222359.i −0.0515381 + 0.155260i
\(291\) −474023. + 1.13914e6i −0.328146 + 0.788575i
\(292\) 1.87167e6 + 1.39647e6i 1.28461 + 0.958458i
\(293\) 1.40490e6 811121.i 0.956043 0.551972i 0.0610899 0.998132i \(-0.480542\pi\)
0.894953 + 0.446161i \(0.147209\pi\)
\(294\) −1.37495e6 + 474590.i −0.927721 + 0.320222i
\(295\) 280424. + 161903.i 0.187612 + 0.108318i
\(296\) −686441. + 479040.i −0.455380 + 0.317792i
\(297\) −146910. + 1.07523e6i −0.0966411 + 0.707311i
\(298\) −230856. 1.12101e6i −0.150592 0.731256i
\(299\) 196384. 340147.i 0.127036 0.220033i
\(300\) −1.24601e6 + 739232.i −0.799318 + 0.474217i
\(301\) −126430. 218983.i −0.0804329 0.139314i
\(302\) 76232.1 67769.1i 0.0480973 0.0427577i
\(303\) −1.93851e6 806661.i −1.21300 0.504759i
\(304\) 1.63829e6 486722.i 1.01673 0.302062i
\(305\) 531574.i 0.327201i
\(306\) 2.20840e6 + 137017.i 1.34826 + 0.0836507i
\(307\) 1.18284e6i 0.716275i −0.933669 0.358137i \(-0.883412\pi\)
0.933669 0.358137i \(-0.116588\pi\)
\(308\) 160838. + 18970.6i 0.0966075 + 0.0113947i
\(309\) −1.24737e6 + 953913.i −0.743188 + 0.568346i
\(310\) 179288. + 201678.i 0.105962 + 0.119194i
\(311\) −685107. 1.18664e6i −0.401659 0.695693i 0.592268 0.805741i \(-0.298233\pi\)
−0.993926 + 0.110048i \(0.964900\pi\)
\(312\) −227154. 72423.3i −0.132110 0.0421203i
\(313\) 130578. 226168.i 0.0753372 0.130488i −0.825896 0.563823i \(-0.809330\pi\)
0.901233 + 0.433335i \(0.142663\pi\)
\(314\) −2.63963e6 + 543594.i −1.51084 + 0.311136i
\(315\) −61641.2 + 16301.5i −0.0350022 + 0.00925658i
\(316\) 1.11027e6 + 2.58136e6i 0.625478 + 1.45422i
\(317\) 529678. + 305810.i 0.296049 + 0.170924i 0.640667 0.767819i \(-0.278658\pi\)
−0.344618 + 0.938743i \(0.611991\pi\)
\(318\) −2.68972e6 520728.i −1.49156 0.288764i
\(319\) 691835. 399431.i 0.380650 0.219768i
\(320\) −83003.4 479574.i −0.0453128 0.261806i
\(321\) 230715. 29991.6i 0.124972 0.0162457i
\(322\) −440886. 146351.i −0.236966 0.0786603i
\(323\) −2.68651e6 −1.43279
\(324\) −1.87508e6 233571.i −0.992331 0.123611i
\(325\) −245397. −0.128873
\(326\) −1.30773e6 434098.i −0.681513 0.226226i
\(327\) −525673. + 68334.4i −0.271860 + 0.0353403i
\(328\) 869533. 1.85707e6i 0.446274 0.953111i
\(329\) 51882.7 29954.5i 0.0264261 0.0152571i
\(330\) −368393. 71320.5i −0.186220 0.0360520i
\(331\) −853212. 492602.i −0.428043 0.247131i 0.270470 0.962728i \(-0.412821\pi\)
−0.698512 + 0.715598i \(0.746154\pi\)
\(332\) 719312. 309385.i 0.358156 0.154047i
\(333\) −1.08633e6 + 287288.i −0.536848 + 0.141974i
\(334\) −233666. + 48120.0i −0.114612 + 0.0236026i
\(335\) −154490. + 267584.i −0.0752120 + 0.130271i
\(336\) −29706.9 + 280420.i −0.0143552 + 0.135507i
\(337\) 1.10946e6 + 1.92164e6i 0.532153 + 0.921716i 0.999295 + 0.0375341i \(0.0119503\pi\)
−0.467142 + 0.884182i \(0.654716\pi\)
\(338\) 1.36865e6 + 1.53957e6i 0.651629 + 0.733005i
\(339\) 1.28264e6 980889.i 0.606187 0.463576i
\(340\) −89616.6 + 759792.i −0.0420428 + 0.356449i
\(341\) 920109.i 0.428503i
\(342\) 2.28984e6 + 142069.i 1.05862 + 0.0656803i
\(343\) 588300.i 0.270000i
\(344\) 2.58154e6 221755.i 1.17620 0.101036i
\(345\) 993710. + 413507.i 0.449482 + 0.187040i
\(346\) −463082. + 411672.i −0.207954 + 0.184868i
\(347\) −1.28567e6 2.22684e6i −0.573199 0.992810i −0.996235 0.0866969i \(-0.972369\pi\)
0.423036 0.906113i \(1.63904\pi\)
\(348\) 709724. + 1.19628e6i 0.314153 + 0.529522i
\(349\) 935689. 1.62066e6i 0.411214 0.712243i −0.583809 0.811891i \(-0.698438\pi\)
0.995023 + 0.0996478i \(0.0317716\pi\)
\(350\) 58542.5 + 284276.i 0.0255447 + 0.124042i
\(351\) −252961. 196077.i −0.109594 0.0849490i
\(352\) −874919. + 1.41015e6i −0.376367 + 0.606610i
\(353\) 1.19697e6 + 691073.i 0.511267 + 0.295180i 0.733354 0.679847i \(-0.237954\pi\)
−0.222087 + 0.975027i \(0.571287\pi\)
\(354\) 1.81721e6 627247.i 0.770721 0.266030i
\(355\) 543746. 313932.i 0.228994 0.132210i
\(356\) −2.28022e6 + 3.05616e6i −0.953569 + 1.27806i
\(357\) 170297. 409246.i 0.0707193 0.169947i
\(358\) 471040. 1.41902e6i 0.194245 0.585169i
\(359\) 4.58930e6 1.87936 0.939680 0.342054i \(-0.111123\pi\)
0.939680 + 0.342054i \(0.111123\pi\)
\(360\) 116564. 642868.i 0.0474034 0.261436i
\(361\) −309482. −0.124988
\(362\) −905655. + 2.72831e6i −0.363238 + 1.09426i
\(363\) −747851. 977915.i −0.297885 0.389524i
\(364\) −28562.6 + 38282.1i −0.0112991 + 0.0151441i
\(365\) −938692. + 541954.i −0.368800 + 0.212927i
\(366\) 2.38337e6 + 2.06868e6i 0.930012 + 0.807218i
\(367\) −318059. 183631.i −0.123266 0.0711675i 0.437099 0.899413i \(-0.356006\pi\)
−0.560365 + 0.828246i \(0.689339\pi\)
\(368\) 3.27388e6 3.45553e6i 1.26021 1.33013i
\(369\) 1.95277e6 1.94007e6i 0.746594 0.741741i
\(370\) −78367.7 380545.i −0.0297600 0.144511i
\(371\) −274422. + 475313.i −0.103510 + 0.179285i
\(372\) 1.60197e6 19004.9i 0.600200 0.00712046i
\(373\) −1.45750e6 2.52447e6i −0.542421 0.939501i −0.998764 0.0496972i \(-0.984174\pi\)
0.456343 0.889804i \(-0.349159\pi\)
\(374\) 1.94963e6 1.73319e6i 0.720731 0.640717i
\(375\) −179960. 1.38437e6i −0.0660843 0.508363i
\(376\) 52539.3 + 611633.i 0.0191653 + 0.223111i
\(377\) 235602.i 0.0853740i
\(378\) −166795. + 339814.i −0.0600416 + 0.122324i
\(379\) 1.95071e6i 0.697579i −0.937201 0.348790i \(-0.886593\pi\)
0.937201 0.348790i \(-0.113407\pi\)
\(380\) −92921.5 + 787812.i −0.0330109 + 0.279875i
\(381\) −650181. 5.00162e6i −0.229468 1.76522i
\(382\) 393089. + 442178.i 0.137826 + 0.155038i
\(383\) 1.91266e6 + 3.31282e6i 0.666254 + 1.15399i 0.978944 + 0.204130i \(0.0654367\pi\)
−0.312690 + 0.949855i \(0.601230\pi\)
\(384\) −2.47324e6 1.49416e6i −0.855929 0.517094i
\(385\) −37585.7 + 65100.3i −0.0129232 + 0.0223837i
\(386\) 3.01169e6 620213.i 1.02882 0.211872i
\(387\) 3.35675e6 + 911179.i 1.13931 + 0.309262i
\(388\) −2.32671e6 + 1.00075e6i −0.784626 + 0.337477i
\(389\) −1.38080e6 797204.i −0.462654 0.267113i 0.250506 0.968115i \(-0.419403\pi\)
−0.713159 + 0.701002i \(0.752736\pi\)
\(390\) 72539.5 83574.2i 0.0241498 0.0278234i
\(391\) −6.48010e6 + 3.74128e6i −2.14358 + 1.23760i
\(392\) −2.70415e6 1.26616e6i −0.888824 0.416173i
\(393\) 1.34460e6 + 1.75825e6i 0.439150 + 0.574247i
\(394\) −4.95059e6 1.64333e6i −1.60663 0.533317i
\(395\) −1.30428e6 −0.420609
\(396\) −1.75342e6 + 1.37418e6i −0.561885 + 0.440357i
\(397\) 4.04020e6 1.28655 0.643275 0.765635i \(-0.277575\pi\)
0.643275 + 0.765635i \(0.277575\pi\)
\(398\) −500224. 166048.i −0.158291 0.0525444i
\(399\) 176578. 424338.i 0.0555269 0.133438i
\(400\) −2.89248e6 691955.i −0.903899 0.216236i
\(401\) −4.84780e6 + 2.79888e6i −1.50551 + 0.869207i −0.505532 + 0.862808i \(0.668704\pi\)
−0.999980 + 0.00639934i \(0.997963\pi\)
\(402\) 598526. + 1.73400e6i 0.184722 + 0.535161i
\(403\) 235005. + 135680.i 0.0720799 + 0.0416154i
\(404\) −1.70300e6 3.95944e6i −0.519113 1.20693i
\(405\) 443472. 756677.i 0.134347 0.229231i
\(406\) 272928. 56205.7i 0.0821739 0.0169225i
\(407\) −662390. + 1.14729e6i −0.198211 + 0.343311i
\(408\) 3.05786e6 + 3.35863e6i 0.909424 + 0.998875i
\(409\) 1.24641e6 + 2.15885e6i 0.368429 + 0.638138i 0.989320 0.145759i \(-0.0465625\pi\)
−0.620891 + 0.783897i \(0.713229\pi\)
\(410\) 632366. + 711337.i 0.185784 + 0.208985i
\(411\) 859395. + 357616.i 0.250951 + 0.104427i
\(412\) −3.20135e6 377595.i −0.929158 0.109593i
\(413\) 385123.i 0.111103i
\(414\) 5.72114e6 2.84619e6i 1.64052 0.816137i
\(415\) 363447.i 0.103591i
\(416\) −231151. 431406.i −0.0654880 0.122223i
\(417\) −4.44501e6 + 3.39928e6i −1.25179 + 0.957296i
\(418\) 2.02153e6 1.79710e6i 0.565899 0.503074i
\(419\) −476950. 826102.i −0.132720 0.229879i 0.792004 0.610516i \(-0.209038\pi\)
−0.924724 + 0.380637i \(0.875705\pi\)
\(420\) −114120. 64094.4i −0.0315674 0.0177295i
\(421\) −1.44880e6 + 2.50940e6i −0.398386 + 0.690025i −0.993527 0.113597i \(-0.963763\pi\)
0.595141 + 0.803621i \(0.297096\pi\)
\(422\) 6109.98 + 29669.4i 0.00167016 + 0.00811012i
\(423\) −215882. + 795299.i −0.0586630 + 0.216112i
\(424\) −3.21852e6 4.61198e6i −0.869444 1.24587i
\(425\) 4.04870e6 + 2.33752e6i 1.08728 + 0.627744i
\(426\) 708503. 3.65964e6i 0.189155 0.977045i
\(427\) 547532. 316118.i 0.145325 0.0839033i
\(428\) 382791. + 285604.i 0.101007 + 0.0753623i
\(429\) −374186. + 48642.1i −0.0981623 + 0.0127605i
\(430\) −378888. + 1.14141e6i −0.0988188 + 0.297694i
\(431\) 3.72242e6 0.965234 0.482617 0.875831i \(-0.339686\pi\)
0.482617 + 0.875831i \(0.339686\pi\)
\(432\) −2.42874e6 3.02442e6i −0.626141 0.779710i
\(433\) 4.74890e6 1.21723 0.608616 0.793465i \(-0.291725\pi\)
0.608616 + 0.793465i \(0.291725\pi\)
\(434\) 101113. 304605.i 0.0257681 0.0776270i
\(435\) −640240. + 83227.4i −0.162226 + 0.0210884i
\(436\) −872172. 650734.i −0.219728 0.163941i
\(437\) −6.71907e6 + 3.87925e6i −1.68308 + 0.971728i
\(438\) −1.22312e6 + 6.31780e6i −0.304638 + 1.57355i
\(439\) 6.29205e6 + 3.63272e6i 1.55823 + 0.899644i 0.997427 + 0.0716934i \(0.0228403\pi\)
0.560802 + 0.827950i \(0.310493\pi\)
\(440\) −440819. 631671.i −0.108550 0.155546i
\(441\) −2.82502e6 2.84350e6i −0.691711 0.696236i
\(442\) 155179. + 753532.i 0.0377813 + 0.183462i
\(443\) −2.83250e6 + 4.90603e6i −0.685741 + 1.18774i 0.287463 + 0.957792i \(0.407188\pi\)
−0.973203 + 0.229946i \(0.926145\pi\)
\(444\) −2.01119e6 1.12956e6i −0.484167 0.271928i
\(445\) −884931. 1.53275e6i −0.211841 0.366919i
\(446\) 3.48832e6 3.10106e6i 0.830385 0.738198i
\(447\) 2.50534e6 1.91593e6i 0.593059 0.453536i
\(448\) −444610. + 370689.i −0.104661 + 0.0872599i
\(449\) 4.08820e6i 0.957011i 0.878085 + 0.478505i \(0.158821\pi\)
−0.878085 + 0.478505i \(0.841179\pi\)
\(450\) −3.32729e6 2.20648e6i −0.774567 0.513652i
\(451\) 3.24531e6i 0.751302i
\(452\) 3.29188e6 + 388273.i 0.757875 + 0.0893905i
\(453\) 259507. + 107987.i 0.0594161 + 0.0247245i
\(454\) −1.67494e6 1.88411e6i −0.381382 0.429009i
\(455\) −11084.8 19199.5i −0.00251016 0.00434772i
\(456\) 3.17062e6 + 3.48248e6i 0.714056 + 0.784290i
\(457\) 2.07648e6 3.59658e6i 0.465091 0.805562i −0.534114 0.845412i \(-0.679355\pi\)
0.999206 + 0.0398504i \(0.0126881\pi\)
\(458\) −1.34633e6 + 277257.i −0.299908 + 0.0617617i
\(459\) 2.30577e6 + 5.64455e6i 0.510839 + 1.25054i
\(460\) 872987. + 2.02968e6i 0.192359 + 0.447231i
\(461\) 293141. + 169245.i 0.0642427 + 0.0370905i 0.531777 0.846884i \(-0.321524\pi\)
−0.467535 + 0.883975i \(0.654858\pi\)
\(462\) 145615. + 421865.i 0.0317396 + 0.0919535i
\(463\) −6.16958e6 + 3.56201e6i −1.33753 + 0.772223i −0.986441 0.164119i \(-0.947522\pi\)
−0.351089 + 0.936342i \(0.614189\pi\)
\(464\) −664335. + 2.77702e6i −0.143249 + 0.598803i
\(465\) −285689. + 686547.i −0.0612719 + 0.147244i
\(466\) 2.59793e6 + 862375.i 0.554195 + 0.183963i
\(467\) −3.96727e6 −0.841782 −0.420891 0.907111i \(-0.638283\pi\)
−0.420891 + 0.907111i \(0.638283\pi\)
\(468\) −92417.7 650477.i −0.0195048 0.137283i
\(469\) 367489. 0.0771457
\(470\) −270429. 89768.2i −0.0564688 0.0187447i
\(471\) −4.51143e6 5.89930e6i −0.937048 1.22532i
\(472\) 3.57397e6 + 1.67343e6i 0.738407 + 0.345743i
\(473\) 3.55132e6 2.05035e6i 0.729855 0.421382i
\(474\) −5.07576e6 + 5.84788e6i −1.03766 + 1.19551i
\(475\) 4.19801e6 + 2.42372e6i 0.853707 + 0.492888i
\(476\) 835894. 359528.i 0.169096 0.0727303i
\(477\) −1.93020e6 7.29872e6i −0.388424 1.46876i
\(478\) −4.15465e6 + 855589.i −0.831696 + 0.171276i
\(479\) 3.84509e6 6.65989e6i 0.765716 1.32626i −0.174151 0.984719i \(-0.555718\pi\)
0.939867 0.341540i \(-0.110948\pi\)
\(480\) 1.09067e6 780539.i 0.216069 0.154629i
\(481\) −195353. 338362.i −0.0384997 0.0666835i
\(482\) −1.60999e6 1.81105e6i −0.315650 0.355069i
\(483\) −165021. 1.26945e6i −0.0321863 0.247598i
\(484\) 296028. 2.50980e6i 0.0574406 0.486996i
\(485\) 1.17562e6i 0.226940i
\(486\) −1.66682e6 4.93305e6i −0.320108 0.947381i
\(487\) 1.17689e6i 0.224860i −0.993660 0.112430i \(-0.964137\pi\)
0.993660 0.112430i \(-0.0358634\pi\)
\(488\) 554462. + 6.45472e6i 0.105395 + 1.22695i
\(489\) −489474. 3.76536e6i −0.0925674 0.712088i
\(490\) 1.03581e6 920814.i 0.194889 0.173253i
\(491\) −730305. 1.26493e6i −0.136710 0.236789i 0.789539 0.613700i \(-0.210320\pi\)
−0.926249 + 0.376911i \(0.876986\pi\)
\(492\) 5.65028e6 67031.9i 1.05234 0.0124844i
\(493\) 2.24421e6 3.88709e6i 0.415859 0.720290i
\(494\) 160902. + 781320.i 0.0296649 + 0.144049i
\(495\) −264366. 999655.i −0.0484945 0.183374i
\(496\) 2.38740e6 + 2.26190e6i 0.435734 + 0.412828i
\(497\) −646711. 373379.i −0.117441 0.0678046i
\(498\) 1.62955e6 + 1.41439e6i 0.294439 + 0.255563i
\(499\) 3.61275e6 2.08582e6i 0.649510 0.374995i −0.138758 0.990326i \(-0.544311\pi\)
0.788269 + 0.615331i \(0.210978\pi\)
\(500\) 1.71372e6 2.29688e6i 0.306560 0.410879i
\(501\) −399360. 522217.i −0.0710838 0.0929516i
\(502\) −299471. + 902165.i −0.0530390 + 0.159782i
\(503\) −3.55656e6 −0.626773 −0.313387 0.949626i \(-0.601464\pi\)
−0.313387 + 0.949626i \(0.601464\pi\)
\(504\) −731485. + 262239.i −0.128271 + 0.0459854i
\(505\) 2.00059e6 0.349083
\(506\) 2.37342e6 7.14999e6i 0.412096 1.24145i
\(507\) −2.18089e6 + 5.24095e6i −0.376802 + 0.905503i
\(508\) 6.19153e6 8.29845e6i 1.06448 1.42672i
\(509\) 5.64282e6 3.25788e6i 0.965388 0.557367i 0.0675606 0.997715i \(-0.478478\pi\)
0.897827 + 0.440348i \(0.145145\pi\)
\(510\) −1.99288e6 + 687882.i −0.339278 + 0.117108i
\(511\) 1.11645e6 + 644581.i 0.189141 + 0.109201i
\(512\) −1.50810e6 5.73672e6i −0.254247 0.967139i
\(513\) 2.39080e6 + 5.85270e6i 0.401097 + 0.981890i
\(514\) 1.60099e6 + 7.77421e6i 0.267288 + 1.29792i
\(515\) 748113. 1.29577e6i 0.124294 0.215283i
\(516\) 3.64315e6 + 6.14071e6i 0.602355 + 1.01530i
\(517\) 485781. + 841397.i 0.0799308 + 0.138444i
\(518\) −345365. + 307023.i −0.0565527 + 0.0502744i
\(519\) −1.57641e6 655984.i −0.256892 0.106899i
\(520\) 226339. 19442.5i 0.0367071 0.00315315i
\(521\) 551264.i 0.0889744i 0.999010 + 0.0444872i \(0.0141654\pi\)
−0.999010 + 0.0444872i \(0.985835\pi\)
\(522\) −2.11841e6 + 3.19447e6i −0.340277 + 0.513124i
\(523\) 1.10624e7i 1.76846i −0.467053 0.884230i \(-0.654684\pi\)
0.467053 0.884230i \(-0.345316\pi\)
\(524\) −532245. + 4.51251e6i −0.0846805 + 0.717942i
\(525\) −635326. + 485859.i −0.100600 + 0.0769328i
\(526\) 3.49723e6 + 3.93397e6i 0.551138 + 0.619965i
\(527\) −2.58483e6 4.47705e6i −0.405420 0.702208i
\(528\) −4.54766e6 481766.i −0.709910 0.0752058i
\(529\) −7.58648e6 + 1.31402e7i −1.17869 + 2.04156i
\(530\) 2.55676e6 526528.i 0.395367 0.0814201i
\(531\) 3.73371e6 + 3.75814e6i 0.574651 + 0.578411i
\(532\) 866720. 372787.i 0.132770 0.0571059i
\(533\) 828883. + 478556.i 0.126379 + 0.0729650i
\(534\) −1.03160e7 1.99718e6i −1.56552 0.303084i
\(535\) −191980. + 110840.i −0.0289983 + 0.0167422i
\(536\) −1.59681e6 + 3.41032e6i −0.240072 + 0.512724i
\(537\) 4.08579e6 531130.i 0.611422 0.0794813i
\(538\) 5.51550e6 + 1.83086e6i 0.821541 + 0.272708i
\(539\) −4.72562e6 −0.700627
\(540\) 1.73500e6 480926.i 0.256044 0.0709731i
\(541\) −3.00701e6 −0.441715 −0.220858 0.975306i \(-0.570886\pi\)
−0.220858 + 0.975306i \(0.570886\pi\)
\(542\) −8.96488e6 2.97587e6i −1.31083 0.435126i
\(543\) −7.85563e6 + 1.02119e6i −1.14336 + 0.148630i
\(544\) −295678. + 9.31938e6i −0.0428373 + 1.35017i
\(545\) 437418. 252543.i 0.0630820 0.0364204i
\(546\) −129221. 25017.1i −0.0185503 0.00359132i
\(547\) 1.52151e6 + 878446.i 0.217424 + 0.125530i 0.604757 0.796410i \(-0.293270\pi\)
−0.387333 + 0.921940i \(0.626604\pi\)
\(548\) 754990. + 1.75533e6i 0.107396 + 0.249694i
\(549\) −2.27826e6 + 8.39300e6i −0.322605 + 1.18846i
\(550\) −4.61019e6 + 949402.i −0.649849 + 0.133827i
\(551\) 2.32697e6 4.03044e6i 0.326522 0.565553i
\(552\) 1.24976e7 + 3.98459e6i 1.74574 + 0.556590i
\(553\) 775633. + 1.34344e6i 0.107856 + 0.186812i
\(554\) −3.99332e6 4.49201e6i −0.552789 0.621822i
\(555\) 850476. 650393.i 0.117201 0.0896279i
\(556\) −1.14080e7 1.34556e6i −1.56503 0.184594i
\(557\) 1.04568e7i 1.42811i −0.700090 0.714055i \(-0.746857\pi\)
0.700090 0.714055i \(-0.253143\pi\)
\(558\) 1.96641e6 + 3.95269e6i 0.267355 + 0.537412i
\(559\) 1.20939e6i 0.163695i
\(560\) −76518.6 257559.i −0.0103109 0.0347062i
\(561\) 6.63687e6 + 2.76177e6i 0.890341 + 0.370493i
\(562\) 3.55825e6 3.16322e6i 0.475221 0.422463i
\(563\) −2.79625e6 4.84324e6i −0.371796 0.643969i 0.618046 0.786142i \(-0.287925\pi\)
−0.989842 + 0.142173i \(0.954591\pi\)
\(564\) −1.45489e6 + 863154.i −0.192590 + 0.114259i
\(565\) −769270. + 1.33241e6i −0.101381 + 0.175597i
\(566\) 2.10640e6 + 1.02284e7i 0.276376 + 1.34205i
\(567\) −1.04312e6 6802.82i −0.136262 0.000888651i
\(568\) 6.27507e6 4.37912e6i 0.816108 0.569530i
\(569\) −5.00540e6 2.88987e6i −0.648124 0.374195i 0.139613 0.990206i \(-0.455414\pi\)
−0.787737 + 0.616012i \(0.788747\pi\)
\(570\) −2.06637e6 + 713249.i −0.266392 + 0.0919505i
\(571\) −2.38689e6 + 1.37807e6i −0.306367 + 0.176881i −0.645300 0.763930i \(-0.723267\pi\)
0.338933 + 0.940811i \(0.389934\pi\)
\(572\) −620833. 463208.i −0.0793386 0.0591951i
\(573\) −626372. + 1.50525e6i −0.0796976 + 0.191523i
\(574\) 356634. 1.07437e6i 0.0451796 0.136105i
\(575\) 1.35013e7 1.70296
\(576\) 744853. 7.92771e6i 0.0935436 0.995615i
\(577\) −9.66103e6 −1.20805 −0.604024 0.796966i \(-0.706437\pi\)
−0.604024 + 0.796966i \(0.706437\pi\)
\(578\) 2.08709e6 6.28741e6i 0.259849 0.782803i
\(579\) 5.14730e6 + 6.73079e6i 0.638092 + 0.834391i
\(580\) −1.06226e6 792557.i −0.131117 0.0978274i
\(581\) 374357. 216135.i 0.0460093 0.0265635i
\(582\) −5.27100e6 4.57504e6i −0.645038 0.559871i
\(583\) −7.70830e6 4.45039e6i −0.939263 0.542284i
\(584\) −1.08329e7 + 7.55987e6i −1.31436 + 0.917239i
\(585\) 294305. + 79888.3i 0.0355556 + 0.00965148i
\(586\) 1.85098e6 + 8.98818e6i 0.222668 + 1.08125i
\(587\) −4.72166e6 + 8.17816e6i −0.565587 + 0.979626i 0.431407 + 0.902157i \(0.358017\pi\)
−0.996995 + 0.0774689i \(0.975316\pi\)
\(588\) −97607.8 8.22759e6i −0.0116424 0.981363i
\(589\) −2.68015e6 4.64215e6i −0.318325 0.551355i
\(590\) −1.36898e6 + 1.21700e6i −0.161908 + 0.143933i
\(591\) −1.85297e6 1.42543e7i −0.218223 1.67871i
\(592\) −1.34852e6 4.53908e6i −0.158144 0.532309i
\(593\) 1.32881e6i 0.155177i −0.996985 0.0775883i \(-0.975278\pi\)
0.996985 0.0775883i \(-0.0247220\pi\)
\(594\) −5.51087e6 2.70496e6i −0.640846 0.314554i
\(595\) 422352.i 0.0489083i
\(596\) 6.42990e6 + 758399.i 0.741462 + 0.0874545i
\(597\) −187231. 1.44030e6i −0.0215001 0.165393i
\(598\) 1.47619e6 + 1.66054e6i 0.168807 + 0.189887i
\(599\) 8.44536e6 + 1.46278e7i 0.961726 + 1.66576i 0.718166 + 0.695872i \(0.244982\pi\)
0.243560 + 0.969886i \(0.421685\pi\)
\(600\) −1.74819e6 8.00702e6i −0.198249 0.908014i
\(601\) 3.86305e6 6.69101e6i 0.436259 0.755623i −0.561138 0.827722i \(-0.689636\pi\)
0.997397 + 0.0720990i \(0.0229698\pi\)
\(602\) 1.40099e6 288514.i 0.157559 0.0324471i
\(603\) −3.58606e6 + 3.56275e6i −0.401628 + 0.399017i
\(604\) 227980. + 530049.i 0.0254276 + 0.0591186i
\(605\) 1.01586e6 + 586508.i 0.112836 + 0.0651456i
\(606\) 7.78551e6 8.96984e6i 0.861203 0.992209i
\(607\) −1.99470e6 + 1.15164e6i −0.219739 + 0.126866i −0.605829 0.795595i \(-0.707159\pi\)
0.386091 + 0.922461i \(0.373825\pi\)
\(608\) −306582. + 9.66305e6i −0.0336347 + 1.06012i
\(609\) 466465. + 609965.i 0.0509654 + 0.0666441i
\(610\) −2.85391e6 947348.i −0.310539 0.103082i
\(611\) −286535. −0.0310509
\(612\) −4.67132e6 + 1.16122e7i −0.504152 + 1.25325i
\(613\) −1.18649e7 −1.27531 −0.637653 0.770324i \(-0.720095\pi\)
−0.637653 + 0.770324i \(0.720095\pi\)
\(614\) 6.35042e6 + 2.10800e6i 0.679800 + 0.225658i
\(615\) −1.00765e6 + 2.42151e6i −0.107429 + 0.258166i
\(616\) −388487. + 829695.i −0.0412501 + 0.0880982i
\(617\) 1.03585e7 5.98047e6i 1.09543 0.632445i 0.160410 0.987050i \(-0.448718\pi\)
0.935016 + 0.354606i \(0.115385\pi\)
\(618\) −2.89835e6 8.39688e6i −0.305267 0.884396i
\(619\) 6.60708e6 + 3.81460e6i 0.693079 + 0.400149i 0.804764 0.593594i \(-0.202292\pi\)
−0.111685 + 0.993744i \(0.535625\pi\)
\(620\) −1.40229e6 + 603141.i −0.146507 + 0.0630143i
\(621\) 1.39174e7 + 1.07878e7i 1.44820 + 1.12254i
\(622\) 7.59179e6 1.56342e6i 0.786807 0.162031i
\(623\) −1.05251e6 + 1.82299e6i −0.108644 + 0.188176i
\(624\) 793650. 1.09048e6i 0.0815958 0.112113i
\(625\) −3.87303e6 6.70828e6i −0.396598 0.686928i
\(626\) 981538. + 1.10411e6i 0.100109 + 0.112610i
\(627\) 6.88162e6 + 2.86361e6i 0.699072 + 0.290901i
\(628\) 1.78579e6 1.51404e7i 0.180689 1.53193i
\(629\) 7.44330e6i 0.750134i
\(630\) 22335.0 359991.i 0.00224200 0.0361360i
\(631\) 1.69017e7i 1.68988i 0.534861 + 0.844940i \(0.320364\pi\)
−0.534861 + 0.844940i \(0.679636\pi\)
\(632\) −1.58374e7 + 1.36044e6i −1.57722 + 0.135483i
\(633\) −66307.8 + 50708.2i −0.00657742 + 0.00503001i
\(634\) −2.58580e6 + 2.29873e6i −0.255488 + 0.227125i
\(635\) 2.40287e6 + 4.16190e6i 0.236481 + 0.409597i
\(636\) 7.58919e6 1.35125e7i 0.743965 1.32463i
\(637\) 696844. 1.20697e6i 0.0680436 0.117855i
\(638\) 911505. + 4.42617e6i 0.0886558 + 0.430503i
\(639\) 9.93064e6 2.62623e6i 0.962111 0.254437i
\(640\) 2.72266e6 + 409047.i 0.262750 + 0.0394751i
\(641\) −6.42076e6 3.70703e6i −0.617222 0.356353i 0.158565 0.987349i \(-0.449313\pi\)
−0.775787 + 0.630995i \(0.782647\pi\)
\(642\) −250151. + 1.29211e6i −0.0239533 + 0.123726i
\(643\) 3.01403e6 1.74015e6i 0.287488 0.165981i −0.349320 0.937003i \(-0.613587\pi\)
0.636809 + 0.771022i \(0.280254\pi\)
\(644\) 1.57146e6 2.10621e6i 0.149309 0.200118i
\(645\) −3.28647e6 + 427222.i −0.311050 + 0.0404347i
\(646\) 4.78778e6 1.44233e7i 0.451391 1.35983i
\(647\) 2.88799e6 0.271229 0.135614 0.990762i \(-0.456699\pi\)
0.135614 + 0.990762i \(0.456699\pi\)
\(648\) 4.59567e6 9.65063e6i 0.429944 0.902856i
\(649\) 6.24566e6 0.582058
\(650\) 437336. 1.31749e6i 0.0406006 0.122310i
\(651\) 877051. 114012.i 0.0811096 0.0105438i
\(652\) 4.66116e6 6.24730e6i 0.429413 0.575537i
\(653\) 4.44008e6 2.56348e6i 0.407482 0.235260i −0.282225 0.959348i \(-0.591073\pi\)
0.689707 + 0.724088i \(0.257739\pi\)
\(654\) 569957. 2.94401e6i 0.0521072 0.269150i
\(655\) −1.82647e6 1.05451e6i −0.166345 0.0960394i
\(656\) 8.42058e6 + 7.97793e6i 0.763980 + 0.723820i
\(657\) −1.71437e7 + 4.53378e6i −1.54950 + 0.409777i
\(658\) 68356.3 + 331931.i 0.00615480 + 0.0298870i
\(659\) −1.30044e6 + 2.25243e6i −0.116648 + 0.202041i −0.918437 0.395566i \(-0.870548\pi\)
0.801789 + 0.597607i \(0.203882\pi\)
\(660\) 1.03944e6 1.85072e6i 0.0928836 0.165379i
\(661\) 6.08660e6 + 1.05423e7i 0.541840 + 0.938494i 0.998798 + 0.0490059i \(0.0156053\pi\)
−0.456959 + 0.889488i \(0.651061\pi\)
\(662\) 4.16524e6 3.70283e6i 0.369398 0.328389i
\(663\) −1.68406e6 + 1.28787e6i −0.148790 + 0.113786i
\(664\) 379095. + 4.41321e6i 0.0333679 + 0.388449i
\(665\) 437927.i 0.0384015i
\(666\) 393621. 6.34428e6i 0.0343868 0.554238i
\(667\) 1.29624e7i 1.12816i
\(668\) 158082. 1.34026e6i 0.0137070 0.116211i
\(669\) 1.18748e7 + 4.94142e6i 1.02580 + 0.426861i
\(670\) −1.16128e6 1.30630e6i −0.0999422 0.112423i
\(671\) 5.12658e6 + 8.87949e6i 0.439563 + 0.761346i
\(672\) −1.45257e6 659243.i −0.124084 0.0563147i
\(673\) 1.21145e6 2.09828e6i 0.103102 0.178577i −0.809859 0.586624i \(-0.800457\pi\)
0.912961 + 0.408047i \(0.133790\pi\)
\(674\) −1.22941e7 + 2.53179e6i −1.04243 + 0.214674i
\(675\) 1.48936e6 1.09005e7i 0.125817 0.920849i
\(676\) −1.07048e7 + 4.60424e6i −0.900969 + 0.387517i
\(677\) 2.75301e6 + 1.58945e6i 0.230854 + 0.133283i 0.610966 0.791657i \(-0.290781\pi\)
−0.380112 + 0.924940i \(0.624115\pi\)
\(678\) 2.98032e6 + 8.63435e6i 0.248994 + 0.721365i
\(679\) −1.21091e6 + 699118.i −0.100794 + 0.0581937i
\(680\) −3.91946e6 1.83520e6i −0.325053 0.152199i
\(681\) 2.66895e6 6.41383e6i 0.220533 0.529968i
\(682\) 4.93987e6 + 1.63978e6i 0.406682 + 0.134997i
\(683\) −1.16442e7 −0.955123 −0.477562 0.878598i \(-0.658479\pi\)
−0.477562 + 0.878598i \(0.658479\pi\)
\(684\) −4.84359e6 + 1.20405e7i −0.395847 + 0.984019i
\(685\) −886917. −0.0722199
\(686\) −3.15846e6 1.04844e6i −0.256251 0.0850617i
\(687\) −2.30103e6 3.00890e6i −0.186007 0.243230i
\(688\) −3.41015e6 + 1.42550e7i −0.274665 + 1.14814i
\(689\) 2.27335e6 1.31252e6i 0.182439 0.105331i
\(690\) −3.99098e6 + 4.59809e6i −0.319122 + 0.367667i
\(691\) −1.57763e7 9.10845e6i −1.25693 0.725687i −0.284451 0.958691i \(-0.591811\pi\)
−0.972476 + 0.233004i \(0.925145\pi\)
\(692\) −1.38490e6 3.21985e6i −0.109939 0.255606i
\(693\) −872450. + 866779.i −0.0690093 + 0.0685607i
\(694\) 1.42467e7 2.93391e6i 1.12284 0.231232i
\(695\) 2.66591e6 4.61749e6i 0.209355 0.362613i
\(696\) −7.68740e6 + 1.67841e6i −0.601529 + 0.131333i
\(697\) −9.11691e6 1.57910e7i −0.710830 1.23119i
\(698\) 7.03344e6 + 7.91179e6i 0.546424 + 0.614661i
\(699\) 972387. + 7.48023e6i 0.0752742 + 0.579058i
\(700\) −1.63055e6 192321.i −0.125773 0.0148348i
\(701\) 8.51403e6i 0.654395i 0.944956 + 0.327197i \(0.106104\pi\)
−0.944956 + 0.327197i \(0.893896\pi\)
\(702\) 1.50351e6 1.00865e6i 0.115150 0.0772502i
\(703\) 7.71779e6i 0.588986i
\(704\) −6.01158e6 7.21037e6i −0.457148 0.548310i
\(705\) −101220. 778648.i −0.00766995 0.0590022i
\(706\) −5.84342e6 + 5.19470e6i −0.441220 + 0.392237i
\(707\) −1.18971e6 2.06064e6i −0.0895145 0.155044i
\(708\) 129004. + 1.08741e7i 0.00967211 + 0.815285i
\(709\) −5.32118e6 + 9.21656e6i −0.397551 + 0.688578i −0.993423 0.114501i \(-0.963473\pi\)
0.595872 + 0.803079i \(0.296806\pi\)
\(710\) 716394. + 3.47873e6i 0.0533343 + 0.258985i
\(711\) −2.05932e7 5.58998e6i −1.52774 0.414702i
\(712\) −1.23442e7 1.76886e7i −0.912560 1.30765i
\(713\) −1.29295e7 7.46485e6i −0.952485 0.549918i
\(714\) 1.89366e6 + 1.64363e6i 0.139013 + 0.120659i
\(715\) 311364. 179766.i 0.0227774 0.0131505i
\(716\) 6.77896e6 + 5.05783e6i 0.494175 + 0.368707i
\(717\) −7.10075e6 9.28518e6i −0.515830 0.674517i
\(718\) −8.17884e6 + 2.46390e7i −0.592081 + 1.78366i
\(719\) −3.66390e6 −0.264315 −0.132157 0.991229i \(-0.542190\pi\)
−0.132157 + 0.991229i \(0.542190\pi\)
\(720\) 3.24369e6 + 1.77150e6i 0.233189 + 0.127353i
\(721\) −1.77956e6 −0.127489
\(722\) 551544. 1.66154e6i 0.0393765 0.118623i
\(723\) 2.56546e6 6.16512e6i 0.182524 0.438627i
\(724\) −1.30337e7 9.72454e6i −0.924105 0.689482i
\(725\) −7.01372e6 + 4.04938e6i −0.495568 + 0.286117i
\(726\) 6.58301e6 2.27226e6i 0.463535 0.159999i
\(727\) 5.20680e6 + 3.00615e6i 0.365372 + 0.210948i 0.671435 0.741064i \(-0.265678\pi\)
−0.306063 + 0.952011i \(0.599012\pi\)
\(728\) −154626. 221571.i −0.0108132 0.0154947i
\(729\) 1.02450e7 1.00465e7i 0.713990 0.700156i
\(730\) −1.23674e6 6.00549e6i −0.0858959 0.417101i
\(731\) 1.15200e7 1.99532e7i 0.797365 1.38108i
\(732\) −1.53539e7 + 9.10909e6i −1.05911 + 0.628344i
\(733\) 5.88479e6 + 1.01927e7i 0.404549 + 0.700699i 0.994269 0.106909i \(-0.0340953\pi\)
−0.589720 + 0.807608i \(0.700762\pi\)
\(734\) 1.55271e6 1.38033e6i 0.106378 0.0945679i
\(735\) 3.52606e6 + 1.46728e6i 0.240753 + 0.100183i
\(736\) 1.27175e7 + 2.37351e7i 0.865378 + 1.61509i
\(737\) 5.95968e6i 0.404161i
\(738\) 6.93571e6 + 1.39415e7i 0.468759 + 0.942256i
\(739\) 1.44915e7i 0.976118i −0.872811 0.488059i \(-0.837705\pi\)
0.872811 0.488059i \(-0.162295\pi\)
\(740\) 2.18273e6 + 257450.i 0.146528 + 0.0172828i
\(741\) −1.74617e6 + 1.33536e6i −0.116826 + 0.0893416i
\(742\) −2.06279e6 2.32040e6i −0.137545 0.154722i
\(743\) −1.03693e7 1.79602e7i −0.689094 1.19355i −0.972131 0.234436i \(-0.924676\pi\)
0.283038 0.959109i \(1.59134\pi\)
\(744\) −2.75292e6 + 8.63450e6i −0.182331 + 0.571880i
\(745\) −1.50259e6 + 2.60255e6i −0.0991856 + 0.171794i
\(746\) 1.61508e7 3.32603e6i 1.06255 0.218816i
\(747\) −1.55768e6 + 5.73844e6i −0.102136 + 0.376264i
\(748\) 5.83058e6 + 1.35560e7i 0.381029 + 0.885883i
\(749\) 228335. + 131829.i 0.0148719 + 0.00858631i
\(750\) 7.75311e6 + 1.50099e6i 0.503295 + 0.0974375i
\(751\) 126982. 73312.8i 0.00821563 0.00474329i −0.495887 0.868387i \(-0.665157\pi\)
0.504102 + 0.863644i \(0.331823\pi\)
\(752\) −3.37736e6 807952.i −0.217788 0.0521004i
\(753\) −2.59761e6 + 337674.i −0.166950 + 0.0217025i
\(754\) −1.26490e6 419879.i −0.0810265 0.0268965i
\(755\) −267818. −0.0170991
\(756\) −1.52714e6 1.50109e6i −0.0971792 0.0955215i
\(757\) 2.59573e7 1.64634 0.823170 0.567795i \(-0.192203\pi\)
0.823170 + 0.567795i \(0.192203\pi\)
\(758\) 1.04729e7 + 3.47646e6i 0.662057 + 0.219768i
\(759\) 2.05870e7 2.67619e6i 1.29715 0.168621i
\(760\) −4.06400e6 1.90288e6i −0.255223 0.119503i
\(761\) 3.55514e6 2.05256e6i 0.222534 0.128480i −0.384589 0.923088i \(-0.625657\pi\)