Properties

Label 76.6.f.a.27.19
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.19
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.43312 - 5.10685i) q^{2} +(-12.1499 + 21.0442i) q^{3} +(-20.1598 + 24.8512i) q^{4} +(-36.1399 + 62.5962i) q^{5} +(137.032 + 10.8444i) q^{6} +149.741i q^{7} +(175.963 + 42.4871i) q^{8} +(-173.739 - 300.925i) q^{9} +O(q^{10})\) \(q+(-2.43312 - 5.10685i) q^{2} +(-12.1499 + 21.0442i) q^{3} +(-20.1598 + 24.8512i) q^{4} +(-36.1399 + 62.5962i) q^{5} +(137.032 + 10.8444i) q^{6} +149.741i q^{7} +(175.963 + 42.4871i) q^{8} +(-173.739 - 300.925i) q^{9} +(407.602 + 32.2569i) q^{10} +151.331i q^{11} +(-278.034 - 726.186i) q^{12} +(-587.871 + 339.408i) q^{13} +(764.705 - 364.339i) q^{14} +(-878.192 - 1521.07i) q^{15} +(-211.163 - 1001.99i) q^{16} +(95.4017 - 165.241i) q^{17} +(-1114.05 + 1619.45i) q^{18} +(838.096 + 1331.80i) q^{19} +(-827.016 - 2160.05i) q^{20} +(-3151.18 - 1819.34i) q^{21} +(772.824 - 368.207i) q^{22} +(2500.37 - 1443.59i) q^{23} +(-3032.03 + 3186.78i) q^{24} +(-1049.69 - 1818.12i) q^{25} +(3163.67 + 2176.35i) q^{26} +2538.79 q^{27} +(-3721.25 - 3018.75i) q^{28} +(-6202.55 + 3581.04i) q^{29} +(-5631.14 + 8185.75i) q^{30} +3755.43 q^{31} +(-4603.23 + 3516.35i) q^{32} +(-3184.64 - 1838.65i) q^{33} +(-1075.98 - 85.1513i) q^{34} +(-9373.23 - 5411.64i) q^{35} +(10980.9 + 1748.97i) q^{36} -4030.64i q^{37} +(4762.12 - 7520.47i) q^{38} -16495.0i q^{39} +(-9018.81 + 9479.11i) q^{40} +(9654.16 + 5573.83i) q^{41} +(-1623.86 + 20519.3i) q^{42} +(2672.34 + 1542.87i) q^{43} +(-3760.75 - 3050.80i) q^{44} +25115.7 q^{45} +(-13455.9 - 9256.58i) q^{46} +(23244.7 - 13420.4i) q^{47} +(23651.7 + 7730.30i) q^{48} -5615.41 q^{49} +(-6730.83 + 9784.33i) q^{50} +(2318.24 + 4015.30i) q^{51} +(3416.69 - 21451.7i) q^{52} +(20244.8 - 11688.3i) q^{53} +(-6177.19 - 12965.2i) q^{54} +(-9472.74 - 5469.09i) q^{55} +(-6362.07 + 26348.8i) q^{56} +(-38209.5 + 1455.83i) q^{57} +(33379.4 + 22962.4i) q^{58} +(-14616.0 + 25315.6i) q^{59} +(55504.7 + 8840.44i) q^{60} +(-23477.9 - 40664.9i) q^{61} +(-9137.41 - 19178.4i) q^{62} +(45060.8 - 26015.9i) q^{63} +(29157.7 + 14952.3i) q^{64} -49064.7i q^{65} +(-1641.10 + 20737.1i) q^{66} +(-154.049 - 266.821i) q^{67} +(2183.14 + 5702.06i) q^{68} +70157.7i q^{69} +(-4830.19 + 61034.9i) q^{70} +(-31345.9 + 54292.7i) q^{71} +(-17786.1 - 60333.2i) q^{72} +(-31655.8 + 54829.4i) q^{73} +(-20583.9 + 9807.05i) q^{74} +51014.5 q^{75} +(-49992.7 - 6021.20i) q^{76} -22660.5 q^{77} +(-84237.7 + 40134.5i) q^{78} +(-31332.0 + 54268.6i) q^{79} +(70352.3 + 22993.9i) q^{80} +(11372.6 - 19697.9i) q^{81} +(4974.95 - 62864.2i) q^{82} +78706.9i q^{83} +(108740. - 41633.2i) q^{84} +(6895.62 + 11943.6i) q^{85} +(1377.10 - 17401.2i) q^{86} -174037. i q^{87} +(-6429.62 + 26628.6i) q^{88} +(86683.7 - 50046.9i) q^{89} +(-61109.5 - 128262. i) q^{90} +(-50823.3 - 88028.5i) q^{91} +(-14532.1 + 91239.7i) q^{92} +(-45628.0 + 79029.9i) q^{93} +(-125093. - 86054.0i) q^{94} +(-113654. + 4330.39i) q^{95} +(-18070.1 - 139595. i) q^{96} +(-87915.1 - 50757.8i) q^{97} +(13663.0 + 28677.0i) q^{98} +(45539.2 - 26292.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.43312 5.10685i −0.430120 0.902772i
\(3\) −12.1499 + 21.0442i −0.779415 + 1.34999i 0.152864 + 0.988247i \(0.451150\pi\)
−0.932279 + 0.361739i \(0.882183\pi\)
\(4\) −20.1598 + 24.8512i −0.629994 + 0.776600i
\(5\) −36.1399 + 62.5962i −0.646491 + 1.11976i 0.337464 + 0.941338i \(0.390431\pi\)
−0.983955 + 0.178417i \(0.942902\pi\)
\(6\) 137.032 + 10.8444i 1.55397 + 0.122978i
\(7\) 149.741i 1.15504i 0.816377 + 0.577519i \(0.195979\pi\)
−0.816377 + 0.577519i \(0.804021\pi\)
\(8\) 175.963 + 42.4871i 0.972065 + 0.234710i
\(9\) −173.739 300.925i −0.714975 1.23837i
\(10\) 407.602 + 32.2569i 1.28895 + 0.102005i
\(11\) 151.331i 0.377091i 0.982064 + 0.188545i \(0.0603773\pi\)
−0.982064 + 0.188545i \(0.939623\pi\)
\(12\) −278.034 726.186i −0.557372 1.45578i
\(13\) −587.871 + 339.408i −0.964770 + 0.557010i −0.897638 0.440734i \(-0.854718\pi\)
−0.0671322 + 0.997744i \(0.521385\pi\)
\(14\) 764.705 364.339i 1.04274 0.496804i
\(15\) −878.192 1521.07i −1.00777 1.74551i
\(16\) −211.163 1001.99i −0.206214 0.978507i
\(17\) 95.4017 165.241i 0.0800633 0.138674i −0.823214 0.567732i \(-0.807821\pi\)
0.903277 + 0.429058i \(0.141154\pi\)
\(18\) −1114.05 + 1619.45i −0.810444 + 1.17811i
\(19\) 838.096 + 1331.80i 0.532610 + 0.846361i
\(20\) −827.016 2160.05i −0.462316 1.20750i
\(21\) −3151.18 1819.34i −1.55928 0.900253i
\(22\) 772.824 368.207i 0.340427 0.162194i
\(23\) 2500.37 1443.59i 0.985563 0.569015i 0.0816183 0.996664i \(-0.473991\pi\)
0.903945 + 0.427648i \(0.140658\pi\)
\(24\) −3032.03 + 3186.78i −1.07450 + 1.12934i
\(25\) −1049.69 1818.12i −0.335901 0.581798i
\(26\) 3163.67 + 2176.35i 0.917820 + 0.631386i
\(27\) 2538.79 0.670220
\(28\) −3721.25 3018.75i −0.897002 0.727667i
\(29\) −6202.55 + 3581.04i −1.36954 + 0.790705i −0.990869 0.134826i \(-0.956952\pi\)
−0.378672 + 0.925531i \(0.623619\pi\)
\(30\) −5631.14 + 8185.75i −1.14233 + 1.66056i
\(31\) 3755.43 0.701867 0.350934 0.936400i \(-0.385864\pi\)
0.350934 + 0.936400i \(0.385864\pi\)
\(32\) −4603.23 + 3516.35i −0.794672 + 0.607039i
\(33\) −3184.64 1838.65i −0.509067 0.293910i
\(34\) −1075.98 85.1513i −0.159628 0.0126326i
\(35\) −9373.23 5411.64i −1.29336 0.746721i
\(36\) 10980.9 + 1748.97i 1.41215 + 0.224919i
\(37\) 4030.64i 0.484027i −0.970273 0.242014i \(-0.922192\pi\)
0.970273 0.242014i \(-0.0778079\pi\)
\(38\) 4762.12 7520.47i 0.534985 0.844862i
\(39\) 16495.0i 1.73657i
\(40\) −9018.81 + 9479.11i −0.891250 + 0.936737i
\(41\) 9654.16 + 5573.83i 0.896922 + 0.517838i 0.876200 0.481947i \(-0.160070\pi\)
0.0207220 + 0.999785i \(0.493404\pi\)
\(42\) −1623.86 + 20519.3i −0.142045 + 1.79489i
\(43\) 2672.34 + 1542.87i 0.220404 + 0.127250i 0.606137 0.795360i \(-0.292718\pi\)
−0.385733 + 0.922610i \(0.626051\pi\)
\(44\) −3760.75 3050.80i −0.292849 0.237565i
\(45\) 25115.7 1.84890
\(46\) −13455.9 9256.58i −0.937601 0.644994i
\(47\) 23244.7 13420.4i 1.53490 0.886175i 0.535774 0.844361i \(-0.320020\pi\)
0.999125 0.0418133i \(-0.0133135\pi\)
\(48\) 23651.7 + 7730.30i 1.48170 + 0.484276i
\(49\) −5615.41 −0.334111
\(50\) −6730.83 + 9784.33i −0.380753 + 0.553485i
\(51\) 2318.24 + 4015.30i 0.124805 + 0.216169i
\(52\) 3416.69 21451.7i 0.175226 1.10015i
\(53\) 20244.8 11688.3i 0.989974 0.571562i 0.0847077 0.996406i \(-0.473004\pi\)
0.905267 + 0.424844i \(0.139671\pi\)
\(54\) −6177.19 12965.2i −0.288275 0.605056i
\(55\) −9472.74 5469.09i −0.422249 0.243786i
\(56\) −6362.07 + 26348.8i −0.271099 + 1.12277i
\(57\) −38209.5 + 1455.83i −1.55770 + 0.0593505i
\(58\) 33379.4 + 22962.4i 1.30289 + 0.896286i
\(59\) −14616.0 + 25315.6i −0.546636 + 0.946801i 0.451866 + 0.892086i \(0.350759\pi\)
−0.998502 + 0.0547155i \(0.982575\pi\)
\(60\) 55504.7 + 8840.44i 1.99045 + 0.317027i
\(61\) −23477.9 40664.9i −0.807857 1.39925i −0.914345 0.404935i \(-0.867294\pi\)
0.106488 0.994314i \(-0.466039\pi\)
\(62\) −9137.41 19178.4i −0.301887 0.633626i
\(63\) 45060.8 26015.9i 1.43037 0.825823i
\(64\) 29157.7 + 14952.3i 0.889822 + 0.456308i
\(65\) 49064.7i 1.44041i
\(66\) −1641.10 + 20737.1i −0.0463740 + 0.585988i
\(67\) −154.049 266.821i −0.00419250 0.00726162i 0.863922 0.503626i \(-0.168001\pi\)
−0.868114 + 0.496365i \(0.834668\pi\)
\(68\) 2183.14 + 5702.06i 0.0572546 + 0.149541i
\(69\) 70157.7i 1.77400i
\(70\) −4830.19 + 61034.9i −0.117820 + 1.48879i
\(71\) −31345.9 + 54292.7i −0.737963 + 1.27819i 0.215448 + 0.976515i \(0.430879\pi\)
−0.953411 + 0.301675i \(0.902454\pi\)
\(72\) −17786.1 60333.2i −0.404343 1.37159i
\(73\) −31655.8 + 54829.4i −0.695257 + 1.20422i 0.274836 + 0.961491i \(0.411376\pi\)
−0.970094 + 0.242730i \(0.921957\pi\)
\(74\) −20583.9 + 9807.05i −0.436966 + 0.208190i
\(75\) 51014.5 1.04723
\(76\) −49992.7 6021.20i −0.992825 0.119577i
\(77\) −22660.5 −0.435554
\(78\) −84237.7 + 40134.5i −1.56773 + 0.746932i
\(79\) −31332.0 + 54268.6i −0.564834 + 0.978321i 0.432231 + 0.901763i \(0.357726\pi\)
−0.997065 + 0.0765579i \(0.975607\pi\)
\(80\) 70352.3 + 22993.9i 1.22900 + 0.401686i
\(81\) 11372.6 19697.9i 0.192596 0.333586i
\(82\) 4974.95 62864.2i 0.0817061 1.03245i
\(83\) 78706.9i 1.25406i 0.778996 + 0.627029i \(0.215729\pi\)
−0.778996 + 0.627029i \(0.784271\pi\)
\(84\) 108740. 41633.2i 1.68148 0.643785i
\(85\) 6895.62 + 11943.6i 0.103520 + 0.179303i
\(86\) 1377.10 17401.2i 0.0200780 0.253708i
\(87\) 174037.i 2.46515i
\(88\) −6429.62 + 26628.6i −0.0885072 + 0.366557i
\(89\) 86683.7 50046.9i 1.16001 0.669733i 0.208705 0.977979i \(-0.433075\pi\)
0.951307 + 0.308245i \(0.0997418\pi\)
\(90\) −61109.5 128262.i −0.795248 1.66914i
\(91\) −50823.3 88028.5i −0.643368 1.11435i
\(92\) −14532.1 + 91239.7i −0.179002 + 1.12386i
\(93\) −45628.0 + 79029.9i −0.547046 + 0.947511i
\(94\) −125093. 86054.0i −1.46020 1.00450i
\(95\) −113654. + 4330.39i −1.29204 + 0.0492287i
\(96\) −18070.1 139595.i −0.200116 1.54593i
\(97\) −87915.1 50757.8i −0.948711 0.547739i −0.0560307 0.998429i \(-0.517844\pi\)
−0.892680 + 0.450690i \(0.851178\pi\)
\(98\) 13663.0 + 28677.0i 0.143708 + 0.301626i
\(99\) 45539.2 26292.1i 0.466979 0.269611i
\(100\) 66344.0 + 10566.9i 0.663440 + 0.105669i
\(101\) 94647.9 + 163935.i 0.923225 + 1.59907i 0.794391 + 0.607407i \(0.207790\pi\)
0.128835 + 0.991666i \(0.458876\pi\)
\(102\) 14865.0 21608.6i 0.141470 0.205649i
\(103\) −51833.0 −0.481408 −0.240704 0.970599i \(-0.577378\pi\)
−0.240704 + 0.970599i \(0.577378\pi\)
\(104\) −117864. + 34746.1i −1.06856 + 0.315009i
\(105\) 227767. 131501.i 2.01613 1.16401i
\(106\) −108949. 74948.0i −0.941797 0.647881i
\(107\) 65120.2 0.549866 0.274933 0.961463i \(-0.411344\pi\)
0.274933 + 0.961463i \(0.411344\pi\)
\(108\) −51181.5 + 63091.9i −0.422235 + 0.520493i
\(109\) −189934. 109658.i −1.53122 0.884048i −0.999306 0.0372476i \(-0.988141\pi\)
−0.531910 0.846801i \(-0.678526\pi\)
\(110\) −4881.47 + 61682.8i −0.0384653 + 0.486052i
\(111\) 84821.6 + 48971.8i 0.653430 + 0.377258i
\(112\) 150039. 31619.9i 1.13021 0.238185i
\(113\) 16019.6i 0.118020i −0.998257 0.0590099i \(-0.981206\pi\)
0.998257 0.0590099i \(-0.0187944\pi\)
\(114\) 100403. + 191588.i 0.723577 + 1.38072i
\(115\) 208685.i 1.47145i
\(116\) 36049.1 226334.i 0.248742 1.56172i
\(117\) 204272. + 117937.i 1.37957 + 0.796497i
\(118\) 164846. + 13045.6i 1.08986 + 0.0862499i
\(119\) 24743.3 + 14285.6i 0.160173 + 0.0924761i
\(120\) −89902.9 304964.i −0.569929 1.93328i
\(121\) 138150. 0.857803
\(122\) −150545. + 218841.i −0.915728 + 1.33116i
\(123\) −234594. + 135443.i −1.39815 + 0.807222i
\(124\) −75708.7 + 93326.8i −0.442172 + 0.545070i
\(125\) −74131.5 −0.424353
\(126\) −242498. 166819.i −1.36076 0.936093i
\(127\) −28481.1 49330.8i −0.156692 0.271399i 0.776982 0.629523i \(-0.216750\pi\)
−0.933674 + 0.358124i \(0.883416\pi\)
\(128\) 5414.85 185285.i 0.0292120 0.999573i
\(129\) −64937.1 + 37491.4i −0.343573 + 0.198362i
\(130\) −250566. + 119380.i −1.30036 + 0.619548i
\(131\) 174749. + 100892.i 0.889687 + 0.513661i 0.873840 0.486214i \(-0.161622\pi\)
0.0158467 + 0.999874i \(0.494956\pi\)
\(132\) 109894. 42075.2i 0.548960 0.210180i
\(133\) −199425. + 125497.i −0.977578 + 0.615185i
\(134\) −987.795 + 1435.92i −0.00475231 + 0.00690824i
\(135\) −91751.7 + 158919.i −0.433291 + 0.750482i
\(136\) 23807.7 25022.8i 0.110375 0.116008i
\(137\) −88399.8 153113.i −0.402392 0.696964i 0.591622 0.806216i \(-0.298488\pi\)
−0.994014 + 0.109252i \(0.965155\pi\)
\(138\) 358285. 170702.i 1.60151 0.763030i
\(139\) 16563.1 9562.73i 0.0727119 0.0419802i −0.463203 0.886252i \(-0.653300\pi\)
0.535915 + 0.844272i \(0.319967\pi\)
\(140\) 323448. 123838.i 1.39471 0.533992i
\(141\) 652223.i 2.76279i
\(142\) 353533. + 27977.9i 1.47133 + 0.116438i
\(143\) −51362.9 88963.1i −0.210043 0.363806i
\(144\) −264837. + 237629.i −1.06432 + 0.954979i
\(145\) 517675.i 2.04473i
\(146\) 357028. + 28254.5i 1.38618 + 0.109700i
\(147\) 68226.5 118172.i 0.260411 0.451046i
\(148\) 100166. + 81257.0i 0.375895 + 0.304934i
\(149\) −102457. + 177461.i −0.378073 + 0.654842i −0.990782 0.135467i \(-0.956747\pi\)
0.612709 + 0.790309i \(0.290080\pi\)
\(150\) −124125. 260523.i −0.450432 0.945406i
\(151\) −354197. −1.26416 −0.632080 0.774903i \(-0.717799\pi\)
−0.632080 + 0.774903i \(0.717799\pi\)
\(152\) 90889.1 + 269956.i 0.319082 + 0.947727i
\(153\) −66300.0 −0.228973
\(154\) 55135.7 + 115724.i 0.187340 + 0.393206i
\(155\) −135721. + 235075.i −0.453751 + 0.785919i
\(156\) 409921. + 332537.i 1.34862 + 1.09403i
\(157\) 169716. 293956.i 0.549506 0.951773i −0.448802 0.893631i \(-0.648149\pi\)
0.998308 0.0581418i \(-0.0185176\pi\)
\(158\) 353376. + 27965.6i 1.12615 + 0.0891211i
\(159\) 568048.i 1.78194i
\(160\) −53749.6 415225.i −0.165987 1.28228i
\(161\) 216165. + 374408.i 0.657234 + 1.13836i
\(162\) −128265. 10150.7i −0.383991 0.0303884i
\(163\) 394607.i 1.16331i −0.813435 0.581656i \(-0.802405\pi\)
0.813435 0.581656i \(-0.197595\pi\)
\(164\) −333143. + 127550.i −0.967209 + 0.370314i
\(165\) 230185. 132898.i 0.658215 0.380021i
\(166\) 401944. 191504.i 1.13213 0.539395i
\(167\) −104881. 181660.i −0.291009 0.504043i 0.683039 0.730382i \(-0.260658\pi\)
−0.974049 + 0.226339i \(0.927324\pi\)
\(168\) −477192. 454020.i −1.30443 1.24109i
\(169\) 44748.5 77506.8i 0.120521 0.208748i
\(170\) 44216.1 64275.1i 0.117343 0.170577i
\(171\) 255162. 483590.i 0.667307 1.26470i
\(172\) −92216.0 + 35306.7i −0.237676 + 0.0909988i
\(173\) −5457.85 3151.09i −0.0138646 0.00800471i 0.493052 0.870000i \(-0.335881\pi\)
−0.506916 + 0.861995i \(0.669215\pi\)
\(174\) −888780. + 423453.i −2.22547 + 1.06031i
\(175\) 272247. 157182.i 0.671999 0.387979i
\(176\) 151632. 31955.6i 0.368986 0.0777615i
\(177\) −355165. 615164.i −0.852113 1.47590i
\(178\) −466494. 320910.i −1.10356 0.759161i
\(179\) −103562. −0.241583 −0.120791 0.992678i \(-0.538543\pi\)
−0.120791 + 0.992678i \(0.538543\pi\)
\(180\) −506327. + 624154.i −1.16480 + 1.43586i
\(181\) 648414. 374362.i 1.47115 0.849367i 0.471671 0.881774i \(-0.343651\pi\)
0.999475 + 0.0324079i \(0.0103176\pi\)
\(182\) −325889. + 473731.i −0.729275 + 1.06012i
\(183\) 1.14101e6 2.51862
\(184\) 501306. 147784.i 1.09159 0.321798i
\(185\) 252303. + 145667.i 0.541992 + 0.312919i
\(186\) 514612. + 40725.5i 1.09068 + 0.0863145i
\(187\) 25006.0 + 14437.2i 0.0522926 + 0.0301911i
\(188\) −135098. + 848211.i −0.278775 + 1.75029i
\(189\) 380161.i 0.774129i
\(190\) 298650. + 569880.i 0.600176 + 1.14525i
\(191\) 548060.i 1.08704i −0.839397 0.543519i \(-0.817092\pi\)
0.839397 0.543519i \(-0.182908\pi\)
\(192\) −668921. + 431932.i −1.30955 + 0.845594i
\(193\) −98358.0 56787.0i −0.190071 0.109738i 0.401945 0.915664i \(-0.368334\pi\)
−0.592016 + 0.805926i \(0.701668\pi\)
\(194\) −45304.1 + 572469.i −0.0864238 + 1.09206i
\(195\) 1.03253e6 + 596130.i 1.94453 + 1.12268i
\(196\) 113206. 139550.i 0.210488 0.259471i
\(197\) −374119. −0.686823 −0.343411 0.939185i \(-0.611582\pi\)
−0.343411 + 0.939185i \(0.611582\pi\)
\(198\) −245072. 168590.i −0.444254 0.305611i
\(199\) −162271. + 93687.2i −0.290475 + 0.167706i −0.638156 0.769907i \(-0.720302\pi\)
0.347681 + 0.937613i \(0.386969\pi\)
\(200\) −107460. 364519.i −0.189964 0.644385i
\(201\) 7486.72 0.0130708
\(202\) 606901. 882227.i 1.04650 1.52125i
\(203\) −536229. 928776.i −0.913294 1.58187i
\(204\) −146520. 23336.9i −0.246503 0.0392615i
\(205\) −697802. + 402876.i −1.15970 + 0.669556i
\(206\) 126116. + 264703.i 0.207063 + 0.434601i
\(207\) −868823. 501615.i −1.40931 0.813664i
\(208\) 464220. + 517371.i 0.743988 + 0.829171i
\(209\) −201543. + 126830.i −0.319155 + 0.200842i
\(210\) −1.22574e6 843213.i −1.91801 1.31944i
\(211\) 55352.7 95873.7i 0.0855919 0.148249i −0.820051 0.572290i \(-0.806055\pi\)
0.905643 + 0.424040i \(0.139389\pi\)
\(212\) −117662. + 738742.i −0.179803 + 1.12889i
\(213\) −761697. 1.31930e6i −1.15036 1.99248i
\(214\) −158446. 332559.i −0.236508 0.496403i
\(215\) −193156. + 111519.i −0.284979 + 0.164532i
\(216\) 446732. + 107866.i 0.651497 + 0.157308i
\(217\) 562342.i 0.810683i
\(218\) −97876.3 + 1.23678e6i −0.139488 + 1.76259i
\(219\) −769227. 1.33234e6i −1.08379 1.87718i
\(220\) 326882. 125153.i 0.455339 0.174335i
\(221\) 129520.i 0.178384i
\(222\) 43710.0 552326.i 0.0595249 0.752164i
\(223\) 136667. 236714.i 0.184035 0.318759i −0.759216 0.650839i \(-0.774417\pi\)
0.943251 + 0.332081i \(0.107751\pi\)
\(224\) −526542. 689293.i −0.701153 0.917876i
\(225\) −364745. + 631756.i −0.480322 + 0.831943i
\(226\) −81809.6 + 38977.6i −0.106545 + 0.0507626i
\(227\) 580973. 0.748327 0.374163 0.927363i \(-0.377930\pi\)
0.374163 + 0.927363i \(0.377930\pi\)
\(228\) 734117. 978900.i 0.935250 1.24710i
\(229\) −256666. −0.323429 −0.161715 0.986838i \(-0.551702\pi\)
−0.161715 + 0.986838i \(0.551702\pi\)
\(230\) 1.06572e6 507756.i 1.32839 0.632901i
\(231\) 275322. 476871.i 0.339477 0.587992i
\(232\) −1.24356e6 + 366601.i −1.51687 + 0.447171i
\(233\) 76951.3 133284.i 0.0928595 0.160837i −0.815854 0.578258i \(-0.803733\pi\)
0.908713 + 0.417421i \(0.137066\pi\)
\(234\) 105265. 1.33014e6i 0.125674 1.58803i
\(235\) 1.94004e6i 2.29162i
\(236\) −334468. 873584.i −0.390908 1.02100i
\(237\) −761360. 1.31871e6i −0.880480 1.52504i
\(238\) 12750.7 161119.i 0.0145912 0.184376i
\(239\) 1.48017e6i 1.67616i 0.545546 + 0.838081i \(0.316322\pi\)
−0.545546 + 0.838081i \(0.683678\pi\)
\(240\) −1.33866e6 + 1.20114e6i −1.50018 + 1.34606i
\(241\) −483902. + 279381.i −0.536679 + 0.309852i −0.743732 0.668478i \(-0.766946\pi\)
0.207053 + 0.978330i \(0.433613\pi\)
\(242\) −336136. 705511.i −0.368958 0.774400i
\(243\) 584814. + 1.01293e6i 0.635334 + 1.10043i
\(244\) 1.48388e6 + 236343.i 1.59560 + 0.254138i
\(245\) 202941. 351503.i 0.216000 0.374123i
\(246\) 1.26248e6 + 868486.i 1.33011 + 0.915008i
\(247\) −944716. 498472.i −0.985278 0.519874i
\(248\) 660814. + 159557.i 0.682261 + 0.164736i
\(249\) −1.65632e6 956279.i −1.69296 0.977431i
\(250\) 180371. + 378578.i 0.182523 + 0.383094i
\(251\) 1.22736e6 708615.i 1.22967 0.709947i 0.262705 0.964876i \(-0.415385\pi\)
0.966960 + 0.254929i \(0.0820520\pi\)
\(252\) −261892. + 1.64429e6i −0.259789 + 1.63109i
\(253\) 218460. + 378383.i 0.214570 + 0.371647i
\(254\) −182627. + 265477.i −0.177615 + 0.258192i
\(255\) −335124. −0.322742
\(256\) −959396. + 423168.i −0.914951 + 0.403564i
\(257\) −26297.0 + 15182.6i −0.0248355 + 0.0143388i −0.512366 0.858767i \(-0.671231\pi\)
0.487531 + 0.873106i \(0.337898\pi\)
\(258\) 349463. + 240403.i 0.326853 + 0.224848i
\(259\) 603553. 0.559069
\(260\) 1.21932e6 + 989135.i 1.11862 + 0.907449i
\(261\) 2.15525e6 + 1.24433e6i 1.95838 + 1.13067i
\(262\) 90051.3 1.13790e6i 0.0810469 1.02412i
\(263\) −704790. 406911.i −0.628305 0.362752i 0.151791 0.988413i \(-0.451496\pi\)
−0.780095 + 0.625661i \(0.784829\pi\)
\(264\) −482258. 458840.i −0.425863 0.405183i
\(265\) 1.68966e6i 1.47804i
\(266\) 1.12612e6 + 713085.i 0.975847 + 0.617927i
\(267\) 2.43225e6i 2.08800i
\(268\) 9736.44 + 1550.76i 0.00828062 + 0.00131889i
\(269\) 490470. + 283173.i 0.413268 + 0.238600i 0.692193 0.721713i \(-0.256645\pi\)
−0.278925 + 0.960313i \(0.589978\pi\)
\(270\) 1.03482e6 + 81893.5i 0.863881 + 0.0683660i
\(271\) 145102. + 83774.7i 0.120019 + 0.0692930i 0.558808 0.829297i \(-0.311259\pi\)
−0.438789 + 0.898590i \(0.644592\pi\)
\(272\) −185715. 60698.9i −0.152203 0.0497460i
\(273\) 2.46999e6 2.00580
\(274\) −566837. + 823987.i −0.456123 + 0.663046i
\(275\) 275138. 158851.i 0.219391 0.126665i
\(276\) −1.74350e6 1.41437e6i −1.37769 1.11761i
\(277\) 1.37831e6 1.07931 0.539657 0.841885i \(-0.318554\pi\)
0.539657 + 0.841885i \(0.318554\pi\)
\(278\) −89135.6 61318.1i −0.0691734 0.0475857i
\(279\) −652464. 1.13010e6i −0.501818 0.869174i
\(280\) −1.41941e6 1.35049e6i −1.08197 1.02943i
\(281\) −659503. + 380764.i −0.498254 + 0.287667i −0.727992 0.685585i \(-0.759546\pi\)
0.229738 + 0.973252i \(0.426213\pi\)
\(282\) 3.33080e6 1.58694e6i 2.49417 1.18833i
\(283\) 81487.5 + 47046.9i 0.0604819 + 0.0349192i 0.529936 0.848038i \(-0.322216\pi\)
−0.469454 + 0.882957i \(0.655549\pi\)
\(284\) −717310. 1.87351e6i −0.527729 1.37835i
\(285\) 1.28976e6 2.44438e6i 0.940581 1.78261i
\(286\) −329349. + 478761.i −0.238090 + 0.346101i
\(287\) −834632. + 1.44563e6i −0.598123 + 1.03598i
\(288\) 1.85792e6 + 774299.i 1.31991 + 0.550082i
\(289\) 691726. + 1.19810e6i 0.487180 + 0.843820i
\(290\) −2.64369e6 + 1.25957e6i −1.84593 + 0.879480i
\(291\) 2.13631e6 1.23340e6i 1.47888 0.853831i
\(292\) −724401. 1.89203e6i −0.497190 1.29859i
\(293\) 1.59978e6i 1.08866i −0.838872 0.544329i \(-0.816784\pi\)
0.838872 0.544329i \(-0.183216\pi\)
\(294\) −769489. 60896.0i −0.519199 0.0410885i
\(295\) −1.05644e6 1.82981e6i −0.706791 1.22420i
\(296\) 171250. 709242.i 0.113606 0.470506i
\(297\) 384197.i 0.252734i
\(298\) 1.15555e6 + 91448.5i 0.753789 + 0.0596535i
\(299\) −979930. + 1.69729e6i −0.633895 + 1.09794i
\(300\) −1.02844e6 + 1.26777e6i −0.659746 + 0.813275i
\(301\) −231032. + 400159.i −0.146979 + 0.254575i
\(302\) 861805. + 1.80883e6i 0.543740 + 1.14125i
\(303\) −4.59984e6 −2.87830
\(304\) 1.15748e6 1.12099e6i 0.718338 0.695694i
\(305\) 3.39396e6 2.08909
\(306\) 161316. + 338584.i 0.0984859 + 0.206711i
\(307\) −299730. + 519147.i −0.181503 + 0.314373i −0.942393 0.334509i \(-0.891430\pi\)
0.760889 + 0.648881i \(0.224763\pi\)
\(308\) 456831. 563139.i 0.274397 0.338251i
\(309\) 629764. 1.09078e6i 0.375216 0.649894i
\(310\) 1.53072e6 + 121138.i 0.904673 + 0.0715942i
\(311\) 1.05415e6i 0.618020i −0.951059 0.309010i \(-0.900002\pi\)
0.951059 0.309010i \(-0.0999976\pi\)
\(312\) 700827. 2.90251e6i 0.407591 1.68806i
\(313\) 45964.5 + 79612.9i 0.0265193 + 0.0459327i 0.878980 0.476858i \(-0.158224\pi\)
−0.852461 + 0.522791i \(0.824891\pi\)
\(314\) −1.91413e6 151481.i −1.09559 0.0867028i
\(315\) 3.76085e6i 2.13555i
\(316\) −716993. 1.87268e6i −0.403922 1.05499i
\(317\) −2.62948e6 + 1.51813e6i −1.46968 + 0.848518i −0.999421 0.0340118i \(-0.989172\pi\)
−0.470256 + 0.882530i \(0.655838\pi\)
\(318\) 2.90093e6 1.38213e6i 1.60868 0.766445i
\(319\) −541922. 938637.i −0.298168 0.516441i
\(320\) −1.98971e6 + 1.28479e6i −1.08622 + 0.701384i
\(321\) −791203. + 1.37040e6i −0.428573 + 0.742311i
\(322\) 1.38609e6 2.01490e6i 0.744993 1.08296i
\(323\) 300023. 11431.3i 0.160011 0.00609662i
\(324\) 260247. + 679729.i 0.137728 + 0.359727i
\(325\) 1.23417e6 + 712547.i 0.648135 + 0.374201i
\(326\) −2.01520e6 + 960128.i −1.05020 + 0.500363i
\(327\) 4.61535e6 2.66467e6i 2.38691 1.37808i
\(328\) 1.46196e6 + 1.39096e6i 0.750325 + 0.713890i
\(329\) 2.00958e6 + 3.48069e6i 1.02356 + 1.77287i
\(330\) −1.23876e6 852166.i −0.626183 0.430764i
\(331\) −2.10350e6 −1.05529 −0.527645 0.849465i \(-0.676925\pi\)
−0.527645 + 0.849465i \(0.676925\pi\)
\(332\) −1.95596e6 1.58672e6i −0.973900 0.790049i
\(333\) −1.21292e6 + 700279.i −0.599406 + 0.346067i
\(334\) −672520. + 977614.i −0.329867 + 0.479514i
\(335\) 22269.3 0.0108417
\(336\) −1.15754e6 + 3.54163e6i −0.559357 + 1.71142i
\(337\) −558874. 322666.i −0.268064 0.154767i 0.359943 0.932974i \(-0.382796\pi\)
−0.628008 + 0.778207i \(0.716129\pi\)
\(338\) −504694. 39940.6i −0.240290 0.0190161i
\(339\) 337119. + 194636.i 0.159325 + 0.0919864i
\(340\) −435826. 69415.7i −0.204464 0.0325657i
\(341\) 568312.i 0.264668i
\(342\) −3.09046e6 126441.i −1.42876 0.0584553i
\(343\) 1.67584e6i 0.769126i
\(344\) 404679. + 385028.i 0.184380 + 0.175427i
\(345\) −4.39161e6 2.53550e6i −1.98644 1.14687i
\(346\) −2812.52 + 35539.4i −0.00126301 + 0.0159595i
\(347\) 2.88360e6 + 1.66485e6i 1.28562 + 0.742251i 0.977869 0.209217i \(-0.0670914\pi\)
0.307748 + 0.951468i \(0.400425\pi\)
\(348\) 4.32502e6 + 3.50855e6i 1.91443 + 1.55303i
\(349\) −1.55545e6 −0.683584 −0.341792 0.939776i \(-0.611034\pi\)
−0.341792 + 0.939776i \(0.611034\pi\)
\(350\) −1.46512e6 1.00788e6i −0.639296 0.439784i
\(351\) −1.49248e6 + 861684.i −0.646608 + 0.373319i
\(352\) −532132. 696611.i −0.228909 0.299663i
\(353\) −2.34138e6 −1.00008 −0.500040 0.866003i \(-0.666681\pi\)
−0.500040 + 0.866003i \(0.666681\pi\)
\(354\) −2.27739e6 + 3.31054e6i −0.965893 + 1.40408i
\(355\) −2.26568e6 3.92427e6i −0.954173 1.65268i
\(356\) −503804. + 3.16313e6i −0.210686 + 1.32279i
\(357\) −601256. + 347135.i −0.249683 + 0.144155i
\(358\) 251978. + 528873.i 0.103909 + 0.218094i
\(359\) 3.04857e6 + 1.76009e6i 1.24842 + 0.720774i 0.970794 0.239916i \(-0.0771200\pi\)
0.277623 + 0.960690i \(0.410453\pi\)
\(360\) 4.41942e6 + 1.06709e6i 1.79725 + 0.433956i
\(361\) −1.07129e6 + 2.23235e6i −0.432653 + 0.901561i
\(362\) −3.48948e6 2.40048e6i −1.39955 0.962780i
\(363\) −1.67850e6 + 2.90726e6i −0.668584 + 1.15802i
\(364\) 3.21220e6 + 511620.i 1.27072 + 0.202392i
\(365\) −2.28808e6 3.96306e6i −0.898955 1.55704i
\(366\) −2.77623e6 5.82699e6i −1.08331 2.27374i
\(367\) −708529. + 409070.i −0.274595 + 0.158538i −0.630974 0.775804i \(-0.717345\pi\)
0.356379 + 0.934342i \(0.384011\pi\)
\(368\) −1.97445e6 2.20051e6i −0.760023 0.847042i
\(369\) 3.87357e6i 1.48097i
\(370\) 130016. 1.64290e6i 0.0493733 0.623888i
\(371\) 1.75023e6 + 3.03148e6i 0.660175 + 1.14346i
\(372\) −1.04414e6 2.72714e6i −0.391201 1.02176i
\(373\) 2.04495e6i 0.761047i −0.924771 0.380523i \(-0.875744\pi\)
0.924771 0.380523i \(-0.124256\pi\)
\(374\) 12886.0 162829.i 0.00476365 0.0601941i
\(375\) 900688. 1.56004e6i 0.330747 0.572871i
\(376\) 4.66040e6 1.37388e6i 1.70002 0.501163i
\(377\) 2.43087e6 4.21038e6i 0.880861 1.52570i
\(378\) 1.94143e6 924979.i 0.698862 0.332968i
\(379\) 1.43613e6 0.513564 0.256782 0.966469i \(-0.417338\pi\)
0.256782 + 0.966469i \(0.417338\pi\)
\(380\) 2.18364e6 2.91175e6i 0.775750 1.03442i
\(381\) 1.38417e6 0.488514
\(382\) −2.79886e6 + 1.33350e6i −0.981348 + 0.467556i
\(383\) 1.06609e6 1.84652e6i 0.371361 0.643216i −0.618414 0.785852i \(-0.712225\pi\)
0.989775 + 0.142636i \(0.0455579\pi\)
\(384\) 3.83338e6 + 2.36514e6i 1.32664 + 0.818518i
\(385\) 818948. 1.41846e6i 0.281582 0.487714i
\(386\) −50685.6 + 640469.i −0.0173147 + 0.218791i
\(387\) 1.07223e6i 0.363924i
\(388\) 3.03374e6 1.16153e6i 1.02306 0.391697i
\(389\) 280455. + 485763.i 0.0939700 + 0.162761i 0.909178 0.416407i \(-0.136711\pi\)
−0.815208 + 0.579168i \(0.803378\pi\)
\(390\) 532079. 6.72342e6i 0.177139 2.23835i
\(391\) 550883.i 0.182229i
\(392\) −988102. 238583.i −0.324778 0.0784194i
\(393\) −4.24636e6 + 2.45164e6i −1.38687 + 0.800710i
\(394\) 910279. + 1.91057e6i 0.295416 + 0.620044i
\(395\) −2.26467e6 3.92253e6i −0.730320 1.26495i
\(396\) −264673. + 1.66175e6i −0.0848148 + 0.532509i
\(397\) −1.69307e6 + 2.93248e6i −0.539136 + 0.933812i 0.459814 + 0.888015i \(0.347916\pi\)
−0.998951 + 0.0457967i \(0.985417\pi\)
\(398\) 873272. + 600741.i 0.276339 + 0.190099i
\(399\) −217998. 5.72153e6i −0.0685520 1.79920i
\(400\) −1.60008e6 + 1.43570e6i −0.500026 + 0.448657i
\(401\) 4.50495e6 + 2.60094e6i 1.39904 + 0.807734i 0.994292 0.106695i \(-0.0340268\pi\)
0.404745 + 0.914429i \(0.367360\pi\)
\(402\) −18216.1 38233.6i −0.00562200 0.0117999i
\(403\) −2.20771e6 + 1.27462e6i −0.677140 + 0.390947i
\(404\) −5.98207e6 952787.i −1.82347 0.290431i
\(405\) 822010. + 1.42376e6i 0.249023 + 0.431321i
\(406\) −3.43841e6 + 4.99827e6i −1.03524 + 1.50489i
\(407\) 609960. 0.182522
\(408\) 237324. + 805039.i 0.0705817 + 0.239423i
\(409\) −130898. + 75574.2i −0.0386924 + 0.0223391i −0.519221 0.854640i \(-0.673778\pi\)
0.480529 + 0.876979i \(0.340445\pi\)
\(410\) 3.75527e6 + 2.58332e6i 1.10327 + 0.758960i
\(411\) 4.29618e6 1.25452
\(412\) 1.04494e6 1.28811e6i 0.303284 0.373861i
\(413\) −3.79079e6 2.18862e6i −1.09359 0.631385i
\(414\) −447720. + 5.65744e6i −0.128382 + 1.62226i
\(415\) −4.92675e6 2.84446e6i −1.40424 0.810737i
\(416\) 1.51263e6 3.62953e6i 0.428548 1.02829i
\(417\) 464744.i 0.130880i
\(418\) 1.13808e6 + 720656.i 0.318590 + 0.201738i
\(419\) 1.51552e6i 0.421724i 0.977516 + 0.210862i \(0.0676270\pi\)
−0.977516 + 0.210862i \(0.932373\pi\)
\(420\) −1.32378e6 + 8.31133e6i −0.366178 + 2.29904i
\(421\) −841090. 485604.i −0.231280 0.133529i 0.379883 0.925035i \(-0.375964\pi\)
−0.611162 + 0.791505i \(0.709298\pi\)
\(422\) −624292. 49405.3i −0.170650 0.0135049i
\(423\) −8.07703e6 4.66328e6i −2.19483 1.26719i
\(424\) 4.05893e6 1.19657e6i 1.09647 0.323238i
\(425\) −400569. −0.107574
\(426\) −4.88416e6 + 7.09989e6i −1.30396 + 1.89552i
\(427\) 6.08921e6 3.51561e6i 1.61619 0.933105i
\(428\) −1.31281e6 + 1.61832e6i −0.346412 + 0.427025i
\(429\) 2.49621e6 0.654844
\(430\) 1.03948e6 + 715080.i 0.271110 + 0.186502i
\(431\) 120766. + 209172.i 0.0313148 + 0.0542389i 0.881258 0.472635i \(-0.156697\pi\)
−0.849943 + 0.526874i \(0.823364\pi\)
\(432\) −536099. 2.54384e6i −0.138209 0.655815i
\(433\) 4.10485e6 2.36994e6i 1.05215 0.607459i 0.128899 0.991658i \(-0.458856\pi\)
0.923250 + 0.384199i \(0.125522\pi\)
\(434\) 2.87179e6 1.36825e6i 0.731862 0.348691i
\(435\) 1.08941e7 + 6.28968e6i 2.76036 + 1.59370i
\(436\) 6.55418e6 2.50939e6i 1.65121 0.632197i
\(437\) 4.01812e6 + 2.12013e6i 1.00651 + 0.531079i
\(438\) −4.93244e6 + 7.17008e6i −1.22850 + 1.78582i
\(439\) −2.94614e6 + 5.10286e6i −0.729612 + 1.26373i 0.227435 + 0.973793i \(0.426966\pi\)
−0.957047 + 0.289932i \(0.906367\pi\)
\(440\) −1.43448e6 1.36483e6i −0.353235 0.336082i
\(441\) 975615. + 1.68982e6i 0.238881 + 0.413755i
\(442\) 661440. 315139.i 0.161040 0.0767266i
\(443\) 2.78533e6 1.60811e6i 0.674323 0.389321i −0.123390 0.992358i \(-0.539377\pi\)
0.797713 + 0.603038i \(0.206043\pi\)
\(444\) −2.92700e6 + 1.12066e6i −0.704636 + 0.269783i
\(445\) 7.23476e6i 1.73191i
\(446\) −1.54139e6 121983.i −0.366924 0.0290377i
\(447\) −2.48968e6 4.31225e6i −0.589351 1.02079i
\(448\) −2.23897e6 + 4.36611e6i −0.527053 + 1.02778i
\(449\) 40741.7i 0.00953724i −0.999989 0.00476862i \(-0.998482\pi\)
0.999989 0.00476862i \(-0.00151791\pi\)
\(450\) 4.11375e6 + 325555.i 0.957650 + 0.0757867i
\(451\) −843493. + 1.46097e6i −0.195272 + 0.338221i
\(452\) 398106. + 322952.i 0.0916542 + 0.0743518i
\(453\) 4.30345e6 7.45379e6i 0.985306 1.70660i
\(454\) −1.41358e6 2.96694e6i −0.321870 0.675568i
\(455\) 7.34700e6 1.66373
\(456\) −6.78529e6 1.36724e6i −1.52812 0.307916i
\(457\) −2.64962e6 −0.593461 −0.296731 0.954961i \(-0.595896\pi\)
−0.296731 + 0.954961i \(0.595896\pi\)
\(458\) 624500. + 1.31075e6i 0.139113 + 0.291983i
\(459\) 242205. 419511.i 0.0536600 0.0929419i
\(460\) −5.18607e6 4.20705e6i −1.14273 0.927007i
\(461\) −520499. + 901530.i −0.114069 + 0.197573i −0.917407 0.397950i \(-0.869722\pi\)
0.803338 + 0.595523i \(0.203055\pi\)
\(462\) −3.10520e6 245740.i −0.676838 0.0535637i
\(463\) 3.68379e6i 0.798624i 0.916815 + 0.399312i \(0.130751\pi\)
−0.916815 + 0.399312i \(0.869249\pi\)
\(464\) 4.89792e6 + 5.45871e6i 1.05613 + 1.17705i
\(465\) −3.29798e6 5.71228e6i −0.707320 1.22511i
\(466\) −867891. 68683.3i −0.185140 0.0146516i
\(467\) 3.73655e6i 0.792827i −0.918072 0.396414i \(-0.870255\pi\)
0.918072 0.396414i \(-0.129745\pi\)
\(468\) −7.04896e6 + 2.69883e6i −1.48768 + 0.569588i
\(469\) 39954.1 23067.5i 0.00838744 0.00484249i
\(470\) 9.90751e6 4.72037e6i 2.06881 0.985669i
\(471\) 4.12405e6 + 7.14306e6i 0.856587 + 1.48365i
\(472\) −3.64746e6 + 3.83361e6i −0.753590 + 0.792052i
\(473\) −233484. + 404407.i −0.0479850 + 0.0831124i
\(474\) −4.88199e6 + 7.09675e6i −0.998048 + 1.45082i
\(475\) 1.54163e6 2.92174e6i 0.313507 0.594165i
\(476\) −853834. + 326906.i −0.172725 + 0.0661312i
\(477\) −7.03462e6 4.06144e6i −1.41561 0.817305i
\(478\) 7.55899e6 3.60143e6i 1.51319 0.720950i
\(479\) 4.52631e6 2.61327e6i 0.901375 0.520409i 0.0237292 0.999718i \(-0.492446\pi\)
0.877646 + 0.479309i \(0.159113\pi\)
\(480\) 9.39114e6 + 3.91382e6i 1.86044 + 0.775350i
\(481\) 1.36803e6 + 2.36950e6i 0.269608 + 0.466975i
\(482\) 2.60415e6 + 1.79145e6i 0.510562 + 0.351225i
\(483\) −1.05055e7 −2.04903
\(484\) −2.78508e6 + 3.43319e6i −0.540411 + 0.666169i
\(485\) 6.35449e6 3.66877e6i 1.22667 0.708216i
\(486\) 3.74995e6 5.45114e6i 0.720169 1.04688i
\(487\) −7.66997e6 −1.46545 −0.732726 0.680524i \(-0.761752\pi\)
−0.732726 + 0.680524i \(0.761752\pi\)
\(488\) −2.40350e6 8.15301e6i −0.456871 1.54977i
\(489\) 8.30419e6 + 4.79443e6i 1.57045 + 0.906702i
\(490\) −2.28885e6 181136.i −0.430653 0.0340811i
\(491\) −1.56962e6 906223.i −0.293827 0.169641i 0.345839 0.938294i \(-0.387594\pi\)
−0.639666 + 0.768653i \(0.720928\pi\)
\(492\) 1.36345e6 8.56044e6i 0.253938 1.59435i
\(493\) 1.36655e6i 0.253226i
\(494\) −247009. + 6.03736e6i −0.0455403 + 1.11309i
\(495\) 3.80078e6i 0.697203i
\(496\) −793009. 3.76290e6i −0.144735 0.686782i
\(497\) −8.12985e6 4.69377e6i −1.47636 0.852375i
\(498\) −853532. + 1.07853e7i −0.154222 + 1.94877i
\(499\) 418040. + 241355.i 0.0751565 + 0.0433916i 0.537107 0.843514i \(-0.319517\pi\)
−0.461951 + 0.886906i \(0.652850\pi\)
\(500\) 1.49448e6 1.84226e6i 0.267340 0.329553i
\(501\) 5.09718e6 0.907268
\(502\) −6.60510e6 4.54378e6i −1.16982 0.804745i
\(503\) −278131. + 160579.i −0.0490150 + 0.0282988i −0.524307 0.851529i \(-0.675676\pi\)
0.475292 + 0.879828i \(0.342342\pi\)
\(504\) 9.03436e6 2.66332e6i 1.58424 0.467032i
\(505\) −1.36823e7 −2.38743
\(506\) 1.40081e6 2.03629e6i 0.243221 0.353561i
\(507\) 1.08738e6 + 1.88340e6i 0.187871 + 0.325403i
\(508\) 1.80010e6 + 286709.i 0.309484 + 0.0492927i
\(509\) −1.34789e6 + 778203.i −0.230600 + 0.133137i −0.610849 0.791747i \(-0.709172\pi\)
0.380249 + 0.924884i \(0.375838\pi\)
\(510\) 815398. + 1.71143e6i 0.138817 + 0.291362i
\(511\) −8.21022e6 4.74017e6i −1.39092 0.803048i
\(512\) 4.49538e6 + 3.86987e6i 0.757865 + 0.652412i
\(513\) 2.12775e6 + 3.38116e6i 0.356966 + 0.567248i
\(514\) 141519. + 97353.7i 0.0236269 + 0.0162534i
\(515\) 1.87324e6 3.24455e6i 0.311226 0.539059i
\(516\) 377413. 2.36958e6i 0.0624011 0.391785i
\(517\) 2.03091e6 + 3.51765e6i 0.334168 + 0.578796i
\(518\) −1.46852e6 3.08225e6i −0.240467 0.504712i
\(519\) 132624. 76570.7i 0.0216125 0.0124780i
\(520\) 2.08462e6 8.63355e6i 0.338079 1.40017i
\(521\) 3.59580e6i 0.580365i −0.956971 0.290183i \(-0.906284\pi\)
0.956971 0.290183i \(-0.0937160\pi\)
\(522\) 1.11064e6 1.40341e7i 0.178400 2.25429i
\(523\) −127288. 220470.i −0.0203486 0.0352448i 0.855672 0.517519i \(-0.173144\pi\)
−0.876020 + 0.482274i \(0.839811\pi\)
\(524\) −6.03019e6 + 2.30877e6i −0.959406 + 0.367327i
\(525\) 7.63897e6i 1.20959i
\(526\) −363190. + 4.58932e6i −0.0572361 + 0.723242i
\(527\) 358274. 620549.i 0.0561938 0.0973306i
\(528\) −1.16983e6 + 3.57924e6i −0.182616 + 0.558734i
\(529\) 949727. 1.64498e6i 0.147557 0.255576i
\(530\) 8.62886e6 4.11116e6i 1.33433 0.635733i
\(531\) 1.01575e7 1.56333
\(532\) 901621. 7.48596e6i 0.138116 1.14675i
\(533\) −7.56720e6 −1.15377
\(534\) 1.24211e7 5.91797e6i 1.88499 0.898090i
\(535\) −2.35344e6 + 4.07628e6i −0.355483 + 0.615715i
\(536\) −15770.5 53495.7i −0.00237100 0.00804279i
\(537\) 1.25826e6 2.17937e6i 0.188293 0.326133i
\(538\) 252747. 3.19375e6i 0.0376471 0.475713i
\(539\) 849785.i 0.125990i
\(540\) −2.09962e6 5.48391e6i −0.309853 0.809293i
\(541\) 4.71638e6 + 8.16901e6i 0.692812 + 1.19999i 0.970913 + 0.239434i \(0.0769618\pi\)
−0.278101 + 0.960552i \(0.589705\pi\)
\(542\) 74773.5 944848.i 0.0109333 0.138154i
\(543\) 1.81938e7i 2.64804i
\(544\) 141887. + 1.09611e6i 0.0205564 + 0.158802i
\(545\) 1.37284e7 7.92610e6i 1.97984 1.14306i
\(546\) −6.00978e6 1.26138e7i −0.862734 1.81078i
\(547\) 3.76853e6 + 6.52728e6i 0.538522 + 0.932747i 0.998984 + 0.0450677i \(0.0143504\pi\)
−0.460462 + 0.887679i \(0.652316\pi\)
\(548\) 5.58716e6 + 889888.i 0.794767 + 0.126586i
\(549\) −8.15805e6 + 1.41302e7i −1.15520 + 2.00086i
\(550\) −1.48067e6 1.01858e6i −0.208714 0.143579i
\(551\) −9.96756e6 5.25930e6i −1.39865 0.737988i
\(552\) −2.98080e6 + 1.23451e7i −0.416375 + 1.72444i
\(553\) −8.12625e6 4.69169e6i −1.13000 0.652404i
\(554\) −3.35360e6 7.03883e6i −0.464234 0.974374i
\(555\) −6.13090e6 + 3.53968e6i −0.844873 + 0.487788i
\(556\) −96264.5 + 604396.i −0.0132062 + 0.0829153i
\(557\) −5.61221e6 9.72064e6i −0.766472 1.32757i −0.939465 0.342645i \(-0.888677\pi\)
0.172993 0.984923i \(-0.444656\pi\)
\(558\) −4.18373e6 + 6.08171e6i −0.568824 + 0.826875i
\(559\) −2.09465e6 −0.283519
\(560\) −3.44313e6 + 1.05346e7i −0.463963 + 1.41955i
\(561\) −607640. + 350821.i −0.0815153 + 0.0470629i
\(562\) 3.54916e6 + 2.44154e6i 0.474007 + 0.326079i
\(563\) −1.02775e7 −1.36652 −0.683260 0.730175i \(-0.739439\pi\)
−0.683260 + 0.730175i \(0.739439\pi\)
\(564\) −1.62085e7 1.31487e7i −2.14558 1.74054i
\(565\) 1.00277e6 + 578947.i 0.132153 + 0.0762988i
\(566\) 41991.9 530615.i 0.00550966 0.0696208i
\(567\) 2.94959e6 + 1.70295e6i 0.385304 + 0.222456i
\(568\) −7.82245e6 + 8.22168e6i −1.01735 + 1.06928i
\(569\) 1.08551e7i 1.40557i −0.711401 0.702787i \(-0.751939\pi\)
0.711401 0.702787i \(-0.248061\pi\)
\(570\) −1.56212e7 639118.i −2.01385 0.0823937i
\(571\) 4.38032e6i 0.562232i −0.959674 0.281116i \(-0.909295\pi\)
0.959674 0.281116i \(-0.0907046\pi\)
\(572\) 3.24630e6 + 517051.i 0.414858 + 0.0660760i
\(573\) 1.15335e7 + 6.65886e6i 1.46749 + 0.847254i
\(574\) 9.41335e6 + 744955.i 1.19252 + 0.0943736i
\(575\) −5.24923e6 3.03065e6i −0.662104 0.382266i
\(576\) −566312. 1.13721e7i −0.0711212 1.42818i
\(577\) 1.11884e7 1.39904 0.699519 0.714614i \(-0.253398\pi\)
0.699519 + 0.714614i \(0.253398\pi\)
\(578\) 4.43548e6 6.44767e6i 0.552232 0.802756i
\(579\) 2.39008e6 1.37991e6i 0.296289 0.171062i
\(580\) 1.28648e7 + 1.04362e7i 1.58794 + 1.28817i
\(581\) −1.17857e7 −1.44848
\(582\) −1.14967e7 7.90882e6i −1.40691 0.967841i
\(583\) 1.76881e6 + 3.06366e6i 0.215531 + 0.373310i
\(584\) −7.89978e6 + 8.30296e6i −0.958479 + 1.00740i
\(585\) −1.47648e7 + 8.52445e6i −1.78376 + 1.02986i
\(586\) −8.16984e6 + 3.89246e6i −0.982810 + 0.468253i
\(587\) 1.03468e7 + 5.97374e6i 1.23940 + 0.715568i 0.968972 0.247172i \(-0.0795012\pi\)
0.270429 + 0.962740i \(0.412835\pi\)
\(588\) 1.56128e6 + 4.07783e6i 0.186224 + 0.486392i
\(589\) 3.14741e6 + 5.00148e6i 0.373822 + 0.594033i
\(590\) −6.77412e6 + 9.84725e6i −0.801166 + 1.16462i
\(591\) 4.54550e6 7.87304e6i 0.535320 0.927201i
\(592\) −4.03867e6 + 851124.i −0.473624 + 0.0998133i
\(593\) −858229. 1.48650e6i −0.100223 0.173591i 0.811554 0.584278i \(-0.198622\pi\)
−0.911776 + 0.410687i \(0.865289\pi\)
\(594\) 1.96204e6 934800.i 0.228161 0.108706i
\(595\) −1.78844e6 + 1.03256e6i −0.207101 + 0.119570i
\(596\) −2.34459e6 6.12375e6i −0.270366 0.706158i
\(597\) 4.55315e6i 0.522849i
\(598\) 1.10521e7 + 874642.i 1.26384 + 0.100018i
\(599\) −2.84509e6 4.92785e6i −0.323988 0.561165i 0.657319 0.753613i \(-0.271691\pi\)
−0.981307 + 0.192448i \(0.938357\pi\)
\(600\) 8.97664e6 + 2.16746e6i 1.01797 + 0.245795i
\(601\) 7.34960e6i 0.829999i 0.909822 + 0.414999i \(0.136218\pi\)
−0.909822 + 0.414999i \(0.863782\pi\)
\(602\) 2.60568e6 + 206209.i 0.293042 + 0.0231908i
\(603\) −53528.8 + 92714.6i −0.00599507 + 0.0103838i
\(604\) 7.14054e6 8.80221e6i 0.796414 0.981747i
\(605\) −4.99273e6 + 8.64767e6i −0.554562 + 0.960529i
\(606\) 1.11920e7 + 2.34907e7i 1.23801 + 2.59845i
\(607\) 7.44313e6 0.819944 0.409972 0.912098i \(-0.365538\pi\)
0.409972 + 0.912098i \(0.365538\pi\)
\(608\) −8.54102e6 3.18355e6i −0.937025 0.349263i
\(609\) 2.60605e7 2.84734
\(610\) −8.25792e6 1.73324e7i −0.898558 1.88597i
\(611\) −9.10994e6 + 1.57789e7i −0.987217 + 1.70991i
\(612\) 1.33660e6 1.64763e6i 0.144252 0.177821i
\(613\) 1.31747e6 2.28192e6i 0.141608 0.245273i −0.786494 0.617598i \(-0.788106\pi\)
0.928102 + 0.372325i \(0.121439\pi\)
\(614\) 3.38049e6 + 267526.i 0.361875 + 0.0286381i
\(615\) 1.95796e7i 2.08745i
\(616\) −3.98739e6 962778.i −0.423387 0.102229i
\(617\) 2.58277e6 + 4.47348e6i 0.273132 + 0.473078i 0.969662 0.244449i \(-0.0786071\pi\)
−0.696530 + 0.717527i \(0.745274\pi\)
\(618\) −7.10276e6 562099.i −0.748093 0.0592027i
\(619\) 1.03971e7i 1.09065i −0.838226 0.545323i \(-0.816407\pi\)
0.838226 0.545323i \(-0.183593\pi\)
\(620\) −3.10580e6 8.11190e6i −0.324484 0.847508i
\(621\) 6.34791e6 3.66497e6i 0.660544 0.381365i
\(622\) −5.38340e6 + 2.56488e6i −0.557931 + 0.265822i
\(623\) 7.49407e6 + 1.29801e7i 0.773567 + 1.33986i
\(624\) −1.65279e7 + 3.48315e6i −1.69924 + 0.358105i
\(625\) 5.95939e6 1.03220e7i 0.610242 1.05697i
\(626\) 294734. 428442.i 0.0300603 0.0436974i
\(627\) −220312. 5.78227e6i −0.0223805 0.587394i
\(628\) 3.88372e6 + 1.01437e7i 0.392961 + 1.02636i
\(629\) −666025. 384530.i −0.0671219 0.0387528i
\(630\) 1.92061e7 9.15061e6i 1.92791 0.918541i
\(631\) −1.18361e7 + 6.83359e6i −1.18341 + 0.683243i −0.956802 0.290742i \(-0.906098\pi\)
−0.226611 + 0.973985i \(0.572765\pi\)
\(632\) −7.81898e6 + 8.21804e6i −0.778677 + 0.818419i
\(633\) 1.34506e6 + 2.32971e6i 0.133423 + 0.231096i
\(634\) 1.41507e7 + 9.73456e6i 1.39816 + 0.961819i
\(635\) 4.11723e6 0.405201
\(636\) −1.41167e7 1.14517e7i −1.38385 1.12261i
\(637\) 3.30114e6 1.90591e6i 0.322341 0.186103i
\(638\) −3.47491e6 + 5.05134e6i −0.337981 + 0.491309i
\(639\) 2.17840e7 2.11050
\(640\) 1.14024e7 + 7.03513e6i 1.10039 + 0.678925i
\(641\) −5.58199e6 3.22277e6i −0.536592 0.309802i 0.207105 0.978319i \(-0.433596\pi\)
−0.743697 + 0.668517i \(0.766929\pi\)
\(642\) 8.92354e6 + 706192.i 0.854475 + 0.0676216i
\(643\) −3.13969e6 1.81270e6i −0.299474 0.172902i 0.342732 0.939433i \(-0.388648\pi\)
−0.642207 + 0.766531i \(0.721981\pi\)
\(644\) −1.36623e7 2.17605e6i −1.29811 0.206754i
\(645\) 5.41976e6i 0.512956i
\(646\) −788372. 1.50436e6i −0.0743275 0.141831i
\(647\) 1.11845e7i 1.05040i −0.850978 0.525201i \(-0.823990\pi\)
0.850978 0.525201i \(-0.176010\pi\)
\(648\) 2.83806e6 2.98291e6i 0.265512 0.279063i
\(649\) −3.83104e6 2.21185e6i −0.357030 0.206131i
\(650\) 635987. 8.03642e6i 0.0590426 0.746069i
\(651\) −1.18340e7 6.83238e6i −1.09441 0.631858i
\(652\) 9.80646e6 + 7.95521e6i 0.903427 + 0.732879i
\(653\) −6.19319e6 −0.568371 −0.284185 0.958769i \(-0.591723\pi\)
−0.284185 + 0.958769i \(0.591723\pi\)
\(654\) −2.48378e7 1.70864e7i −2.27075 1.56209i
\(655\) −1.26309e7 + 7.29243e6i −1.15035 + 0.664154i
\(656\) 3.54632e6 1.08504e7i 0.321750 0.984430i
\(657\) 2.19994e7 1.98837
\(658\) 1.28858e7 1.87316e7i 1.16024 1.68659i
\(659\) 8.13481e6 + 1.40899e7i 0.729682 + 1.26385i 0.957018 + 0.290030i \(0.0936653\pi\)
−0.227335 + 0.973817i \(0.573001\pi\)
\(660\) −1.33783e6 + 8.39957e6i −0.119548 + 0.750580i
\(661\) −1.57130e6 + 907190.i −0.139880 + 0.0807597i −0.568307 0.822817i \(-0.692401\pi\)
0.428427 + 0.903576i \(0.359068\pi\)
\(662\) 5.11807e6 + 1.07422e7i 0.453901 + 0.952687i
\(663\) −2.72565e6 1.57365e6i −0.240816 0.139035i
\(664\) −3.34403e6 + 1.38495e7i −0.294340 + 1.21903i
\(665\) −648437. 1.70187e7i −0.0568609 1.49236i
\(666\) 6.52740e6 + 4.49033e6i 0.570236 + 0.392277i
\(667\) −1.03391e7 + 1.79079e7i −0.899846 + 1.55858i
\(668\) 6.62885e6 + 1.05580e6i 0.574774 + 0.0915465i
\(669\) 3.32097e6 + 5.75209e6i 0.286880 + 0.496890i
\(670\) −54184.1 113726.i −0.00466321 0.00978754i
\(671\) 6.15386e6 3.55293e6i 0.527644 0.304635i
\(672\) 2.09030e7 2.70583e6i 1.78561 0.231141i
\(673\) 1.63923e7i 1.39509i 0.716540 + 0.697546i \(0.245725\pi\)
−0.716540 + 0.697546i \(0.754275\pi\)
\(674\) −287997. + 3.63917e6i −0.0244196 + 0.308569i
\(675\) −2.66495e6 4.61582e6i −0.225128 0.389933i
\(676\) 1.02401e6 + 2.67458e6i 0.0861864 + 0.225107i
\(677\) 1.68800e6i 0.141547i 0.997492 + 0.0707735i \(0.0225468\pi\)
−0.997492 + 0.0707735i \(0.977453\pi\)
\(678\) 173723. 2.19519e6i 0.0145139 0.183399i
\(679\) 7.60053e6 1.31645e7i 0.632659 1.09580i
\(680\) 705924. + 2.39460e6i 0.0585444 + 0.198591i
\(681\) −7.05875e6 + 1.22261e7i −0.583257 + 1.01023i
\(682\) 2.90228e6 1.38277e6i 0.238935 0.113839i
\(683\) −3.96777e6 −0.325457 −0.162729 0.986671i \(-0.552030\pi\)
−0.162729 + 0.986671i \(0.552030\pi\)
\(684\) 6.87375e6 + 1.60902e7i 0.561764 + 1.31498i
\(685\) 1.27791e7 1.04057
\(686\) 8.55827e6 4.07753e6i 0.694346 0.330816i
\(687\) 3.11846e6 5.40133e6i 0.252086 0.436625i
\(688\) 981646. 3.00345e6i 0.0790649 0.241908i
\(689\) −7.93423e6 + 1.37425e7i −0.636732 + 1.10285i
\(690\) −2.26307e6 + 2.85965e7i −0.180957 + 2.28660i
\(691\) 8.48573e6i 0.676074i 0.941133 + 0.338037i \(0.109763\pi\)
−0.941133 + 0.338037i \(0.890237\pi\)
\(692\) 188338. 72108.7i 0.0149511 0.00572430i
\(693\) 3.93701e6 + 6.81909e6i 0.311410 + 0.539378i
\(694\) 1.48597e6 1.87769e7i 0.117115 1.47988i
\(695\) 1.38239e6i 0.108559i
\(696\) 7.39433e6 3.06240e7i 0.578596 2.39629i
\(697\) 1.84205e6 1.06351e6i 0.143621 0.0829198i
\(698\) 3.78459e6 + 7.94343e6i 0.294023 + 0.617120i
\(699\) 1.86990e6 + 3.23876e6i 0.144752 + 0.250718i
\(700\) −1.58229e6 + 9.93443e6i −0.122051 + 0.766298i
\(701\) −608501. + 1.05396e6i −0.0467699 + 0.0810078i −0.888463 0.458949i \(-0.848226\pi\)
0.841693 + 0.539957i \(0.181559\pi\)
\(702\) 8.03188e6 + 5.52529e6i 0.615141 + 0.423168i
\(703\) 5.36801e6 3.37806e6i 0.409662 0.257798i
\(704\) −2.26274e6 + 4.41246e6i −0.172069 + 0.335544i
\(705\) −4.08267e7 2.35713e7i −3.09365 1.78612i
\(706\) 5.69686e6 + 1.19571e7i 0.430154 + 0.902843i
\(707\) −2.45478e7 + 1.41727e7i −1.84699 + 1.06636i
\(708\) 2.24476e7 + 3.57532e6i 1.68301 + 0.268060i
\(709\) −8.24017e6 1.42724e7i −0.615631 1.06631i −0.990273 0.139135i \(-0.955568\pi\)
0.374642 0.927170i \(-0.377766\pi\)
\(710\) −1.45280e7 + 2.11187e7i −1.08158 + 1.57225i
\(711\) 2.17744e7 1.61537
\(712\) 1.73794e7 5.12343e6i 1.28480 0.378757i
\(713\) 9.38995e6 5.42129e6i 0.691735 0.399373i
\(714\) 3.23570e6 + 2.22590e6i 0.237532 + 0.163403i
\(715\) 7.42500e6 0.543165
\(716\) 2.08778e6 2.57363e6i 0.152196 0.187613i
\(717\) −3.11489e7 1.79838e7i −2.26280 1.30643i
\(718\) 1.57098e6 1.98511e7i 0.113726 1.43705i
\(719\) 1.21480e7 + 7.01364e6i 0.876359 + 0.505966i 0.869456 0.494010i \(-0.164469\pi\)
0.00690298 + 0.999976i \(0.497803\pi\)
\(720\) −5.30351e6 2.51657e7i −0.381270 1.80916i
\(721\) 7.76153e6i 0.556044i
\(722\) 1.40069e7 + 39327.1i 0.999996 + 0.00280769i
\(723\) 1.35778e7i 0.966012i
\(724\) −3.76857e6 + 2.36609e7i −0.267196 + 1.67759i
\(725\) 1.30215e7 + 7.51798e6i 0.920061 + 0.531198i
\(726\) 1.89309e7 + 1.49816e6i 1.33300 + 0.105491i
\(727\) −1.08038e7 6.23755e6i −0.758122 0.437702i 0.0704993 0.997512i \(-0.477541\pi\)
−0.828621 + 0.559810i \(0.810874\pi\)
\(728\) −5.20292e6 1.76491e7i −0.363847 1.23422i
\(729\) −2.28946e7 −1.59556
\(730\) −1.46716e7 + 2.13275e7i −1.01899 + 1.48126i
\(731\) 509891. 294385.i 0.0352926 0.0203762i
\(732\) −2.30026e7 + 2.83556e7i −1.58672 + 1.95596i
\(733\) −2.22451e7 −1.52924 −0.764619 0.644483i \(-0.777073\pi\)
−0.764619 + 0.644483i \(0.777073\pi\)
\(734\) 3.81300e6 + 2.62304e6i 0.261232 + 0.179707i
\(735\) 4.93141e6 + 8.54145e6i 0.336707 + 0.583194i
\(736\) −6.43362e6 + 1.54373e7i −0.437785 + 1.05046i
\(737\) 40378.3 23312.4i 0.00273829 0.00158095i
\(738\) −1.97817e7 + 9.42487e6i −1.33698 + 0.636993i
\(739\) −3.07838e6 1.77730e6i −0.207354 0.119716i 0.392727 0.919655i \(-0.371532\pi\)
−0.600081 + 0.799939i \(0.704865\pi\)
\(740\) −8.70638e6 + 3.33340e6i −0.584465 + 0.223774i
\(741\) 2.19681e7 1.38244e7i 1.46976 0.924914i
\(742\) 1.12228e7 1.63141e7i 0.748327 1.08781i
\(743\) 1.31507e6 2.27777e6i 0.0873931 0.151369i −0.819015 0.573772i \(-0.805480\pi\)
0.906408 + 0.422402i \(0.138813\pi\)
\(744\) −1.13866e7 + 1.19677e7i −0.754155 + 0.792645i
\(745\) −7.40558e6 1.28268e7i −0.488842 0.846699i
\(746\) −1.04433e7 + 4.97562e6i −0.687051 + 0.327341i
\(747\) 2.36848e7 1.36744e7i 1.55299 0.896620i
\(748\) −862899. + 330377.i −0.0563905 + 0.0215902i
\(749\) 9.75118e6i 0.635115i
\(750\) −1.01584e7 803914.i −0.659433 0.0521863i
\(751\) 1.57000e6 + 2.71932e6i 0.101578 + 0.175939i 0.912335 0.409445i \(-0.134277\pi\)
−0.810757 + 0.585383i \(0.800944\pi\)
\(752\) −1.83555e7 2.04571e7i −1.18365 1.31917i
\(753\) 3.44384e7i 2.21337i
\(754\) −2.74164e7 2.16968e6i −1.75623 0.138985i
\(755\) 1.28007e7 2.21714e7i 0.817269 1.41555i
\(756\) −9.44746e6 7.66398e6i −0.601188 0.487697i
\(757\) 1.34083e7 2.32239e7i 0.850424 1.47298i −0.0304027 0.999538i \(-0.509679\pi\)
0.880826 0.473439i \(-0.156988\pi\)
\(758\) −3.49427e6 7.33407e6i −0.220894 0.463631i
\(759\) −1.06170e7 −0.668958
\(760\) −2.01829e7 4.06687e6i −1.26751 0.255403i
\(761\) −1.08156e7 −0.676999 −0.338499 0.940967i \(-0.609919\pi\)
−0.338499 + 0.940967i \(0.609919\pi\)
\(762\) −3.36785e6 7.06874e6i −0.210119 0.441016i
\(763\) 1.64204e7 2.84409e7i 1.02111 1.76861i
\(764\) 1.36199e7 + 1.10488e7i 0.844194 + 0.684828i
\(765\) 2.39608e6 4.15013e6i 0.148029 0.256394i
\(766\) −1.20238e7 951543.i −0.740407 0.0585944i
\(767\) 1.98431e7i 1.21793i
\(768\) 2.75132e6 2.53312e7i 0.168321 1.54972i
\(769\) 1.15420e7 +