Properties

Label 38.6.e.b.9.5
Level $38$
Weight $6$
Character 38.9
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 9.5
Character \(\chi\) \(=\) 38.9
Dual form 38.6.e.b.17.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.694593 + 3.93923i) q^{2} +(19.8464 - 16.6531i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(17.3464 + 6.31358i) q^{5} +(79.3855 + 66.6124i) q^{6} +(61.0467 - 105.736i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(74.3569 - 421.699i) q^{9} +O(q^{10})\) \(q+(0.694593 + 3.93923i) q^{2} +(19.8464 - 16.6531i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(17.3464 + 6.31358i) q^{5} +(79.3855 + 66.6124i) q^{6} +(61.0467 - 105.736i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(74.3569 - 421.699i) q^{9} +(-12.8220 + 72.7169i) q^{10} +(35.5887 + 61.6414i) q^{11} +(-207.261 + 358.986i) q^{12} +(413.918 + 347.319i) q^{13} +(458.921 + 167.034i) q^{14} +(449.405 - 163.570i) q^{15} +(196.107 - 164.554i) q^{16} +(38.4150 + 217.862i) q^{17} +1712.82 q^{18} +(511.729 + 1488.03i) q^{19} -295.355 q^{20} +(-549.275 - 3115.09i) q^{21} +(-218.100 + 183.008i) q^{22} +(-3869.48 + 1408.38i) q^{23} +(-1558.09 - 567.099i) q^{24} +(-2132.85 - 1789.68i) q^{25} +(-1080.66 + 1871.76i) q^{26} +(-2399.10 - 4155.37i) q^{27} +(-339.221 + 1923.82i) q^{28} +(964.187 - 5468.17i) q^{29} +(956.493 + 1656.69i) q^{30} +(-3775.51 + 6539.37i) q^{31} +(784.430 + 658.215i) q^{32} +(1732.83 + 630.697i) q^{33} +(-831.527 + 302.651i) q^{34} +(1726.52 - 1448.72i) q^{35} +(1189.71 + 6747.19i) q^{36} +6113.82 q^{37} +(-5506.25 + 3049.39i) q^{38} +13998.7 q^{39} +(-205.151 - 1163.47i) q^{40} +(-15601.8 + 13091.5i) q^{41} +(11889.6 - 4327.44i) q^{42} +(-4795.60 - 1745.46i) q^{43} +(-872.400 - 732.031i) q^{44} +(3952.26 - 6845.51i) q^{45} +(-8235.63 - 14264.5i) q^{46} +(912.747 - 5176.44i) q^{47} +(1151.70 - 6531.59i) q^{48} +(950.100 + 1645.62i) q^{49} +(5568.48 - 9644.89i) q^{50} +(4390.48 + 3684.05i) q^{51} +(-8123.93 - 2956.87i) q^{52} +(3237.43 - 1178.33i) q^{53} +(14702.6 - 12336.9i) q^{54} +(228.158 + 1293.95i) q^{55} -7813.98 q^{56} +(34936.3 + 21010.1i) q^{57} +22210.1 q^{58} +(9086.66 + 51533.0i) q^{59} +(-5861.73 + 4918.57i) q^{60} +(41565.0 - 15128.4i) q^{61} +(-28382.5 - 10330.4i) q^{62} +(-40049.5 - 33605.5i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(4987.18 + 8638.04i) q^{65} +(-1280.85 + 7264.08i) q^{66} +(11301.7 - 64095.0i) q^{67} +(-1769.79 - 3065.36i) q^{68} +(-53341.4 + 92390.0i) q^{69} +(6906.06 + 5794.87i) q^{70} +(-37066.0 - 13490.9i) q^{71} +(-25752.4 + 9373.09i) q^{72} +(-5826.55 + 4889.06i) q^{73} +(4246.61 + 24083.7i) q^{74} -72133.0 q^{75} +(-15836.9 - 19572.3i) q^{76} +8690.29 q^{77} +(9723.40 + 55144.1i) q^{78} +(31918.9 - 26783.2i) q^{79} +(4440.68 - 1616.28i) q^{80} +(-19034.8 - 6928.10i) q^{81} +(-62407.4 - 52366.0i) q^{82} +(17876.7 - 30963.4i) q^{83} +(25305.2 + 43829.9i) q^{84} +(-709.129 + 4021.67i) q^{85} +(3544.76 - 20103.4i) q^{86} +(-71926.4 - 124580. i) q^{87} +(2277.68 - 3945.05i) q^{88} +(68243.2 + 57262.9i) q^{89} +(29711.3 + 10814.0i) q^{90} +(61992.4 - 22563.4i) q^{91} +(50470.9 - 42350.1i) q^{92} +(33970.6 + 192657. i) q^{93} +21025.2 q^{94} +(-518.135 + 29042.8i) q^{95} +26529.4 q^{96} +(-2906.75 - 16485.0i) q^{97} +(-5822.55 + 4885.70i) q^{98} +(28640.4 - 10424.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.694593 + 3.93923i 0.122788 + 0.696364i
\(3\) 19.8464 16.6531i 1.27315 1.06830i 0.278996 0.960292i \(-0.409998\pi\)
0.994150 0.108004i \(-0.0344460\pi\)
\(4\) −15.0351 + 5.47232i −0.469846 + 0.171010i
\(5\) 17.3464 + 6.31358i 0.310302 + 0.112941i 0.492477 0.870325i \(-0.336091\pi\)
−0.182175 + 0.983266i \(0.558314\pi\)
\(6\) 79.3855 + 66.6124i 0.900250 + 0.755400i
\(7\) 61.0467 105.736i 0.470887 0.815601i −0.528558 0.848897i \(-0.677267\pi\)
0.999446 + 0.0332962i \(0.0106005\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) 74.3569 421.699i 0.305996 1.73539i
\(10\) −12.8220 + 72.7169i −0.0405466 + 0.229951i
\(11\) 35.5887 + 61.6414i 0.0886809 + 0.153600i 0.906954 0.421230i \(-0.138402\pi\)
−0.818273 + 0.574830i \(0.805068\pi\)
\(12\) −207.261 + 358.986i −0.415494 + 0.719656i
\(13\) 413.918 + 347.319i 0.679291 + 0.569993i 0.915799 0.401637i \(-0.131558\pi\)
−0.236508 + 0.971630i \(0.576003\pi\)
\(14\) 458.921 + 167.034i 0.625775 + 0.227763i
\(15\) 449.405 163.570i 0.515714 0.187705i
\(16\) 196.107 164.554i 0.191511 0.160697i
\(17\) 38.4150 + 217.862i 0.0322388 + 0.182835i 0.996675 0.0814808i \(-0.0259649\pi\)
−0.964436 + 0.264316i \(0.914854\pi\)
\(18\) 1712.82 1.24603
\(19\) 511.729 + 1488.03i 0.325204 + 0.945644i
\(20\) −295.355 −0.165108
\(21\) −549.275 3115.09i −0.271795 1.54143i
\(22\) −218.100 + 183.008i −0.0960725 + 0.0806144i
\(23\) −3869.48 + 1408.38i −1.52522 + 0.555136i −0.962446 0.271474i \(-0.912489\pi\)
−0.562776 + 0.826609i \(0.690267\pi\)
\(24\) −1558.09 567.099i −0.552160 0.200970i
\(25\) −2132.85 1789.68i −0.682513 0.572696i
\(26\) −1080.66 + 1871.76i −0.313514 + 0.543022i
\(27\) −2399.10 4155.37i −0.633344 1.09698i
\(28\) −339.221 + 1923.82i −0.0817687 + 0.463734i
\(29\) 964.187 5468.17i 0.212895 1.20739i −0.671626 0.740890i \(-0.734404\pi\)
0.884522 0.466499i \(-0.154485\pi\)
\(30\) 956.493 + 1656.69i 0.194034 + 0.336077i
\(31\) −3775.51 + 6539.37i −0.705620 + 1.22217i 0.260847 + 0.965380i \(0.415998\pi\)
−0.966467 + 0.256790i \(0.917335\pi\)
\(32\) 784.430 + 658.215i 0.135419 + 0.113630i
\(33\) 1732.83 + 630.697i 0.276994 + 0.100818i
\(34\) −831.527 + 302.651i −0.123361 + 0.0448999i
\(35\) 1726.52 1448.72i 0.238232 0.199900i
\(36\) 1189.71 + 6747.19i 0.152998 + 0.867694i
\(37\) 6113.82 0.734190 0.367095 0.930184i \(-0.380352\pi\)
0.367095 + 0.930184i \(0.380352\pi\)
\(38\) −5506.25 + 3049.39i −0.618582 + 0.342574i
\(39\) 13998.7 1.47376
\(40\) −205.151 1163.47i −0.0202733 0.114976i
\(41\) −15601.8 + 13091.5i −1.44949 + 1.21627i −0.516545 + 0.856260i \(0.672782\pi\)
−0.932949 + 0.360009i \(0.882774\pi\)
\(42\) 11889.6 4327.44i 1.04002 0.378537i
\(43\) −4795.60 1745.46i −0.395523 0.143959i 0.136599 0.990626i \(-0.456383\pi\)
−0.532122 + 0.846668i \(0.678605\pi\)
\(44\) −872.400 732.031i −0.0679335 0.0570030i
\(45\) 3952.26 6845.51i 0.290947 0.503935i
\(46\) −8235.63 14264.5i −0.573855 0.993946i
\(47\) 912.747 5176.44i 0.0602706 0.341812i −0.939729 0.341919i \(-0.888923\pi\)
1.00000 0.000107525i \(3.42263e-5\pi\)
\(48\) 1151.70 6531.59i 0.0721497 0.409181i
\(49\) 950.100 + 1645.62i 0.0565300 + 0.0979129i
\(50\) 5568.48 9644.89i 0.315001 0.545597i
\(51\) 4390.48 + 3684.05i 0.236367 + 0.198335i
\(52\) −8123.93 2956.87i −0.416637 0.151643i
\(53\) 3237.43 1178.33i 0.158311 0.0576205i −0.261649 0.965163i \(-0.584266\pi\)
0.419960 + 0.907543i \(0.362044\pi\)
\(54\) 14702.6 12336.9i 0.686133 0.575734i
\(55\) 228.158 + 1293.95i 0.0101702 + 0.0576781i
\(56\) −7813.98 −0.332968
\(57\) 34936.3 + 21010.1i 1.42426 + 0.856529i
\(58\) 22210.1 0.866924
\(59\) 9086.66 + 51533.0i 0.339840 + 1.92733i 0.372896 + 0.927873i \(0.378365\pi\)
−0.0330559 + 0.999454i \(0.510524\pi\)
\(60\) −5861.73 + 4918.57i −0.210207 + 0.176385i
\(61\) 41565.0 15128.4i 1.43022 0.520557i 0.493225 0.869902i \(-0.335818\pi\)
0.936994 + 0.349344i \(0.113596\pi\)
\(62\) −28382.5 10330.4i −0.937717 0.341301i
\(63\) −40049.5 33605.5i −1.27129 1.06674i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) 4987.18 + 8638.04i 0.146410 + 0.253590i
\(66\) −1280.85 + 7264.08i −0.0361943 + 0.205268i
\(67\) 11301.7 64095.0i 0.307579 1.74436i −0.303534 0.952821i \(-0.598167\pi\)
0.611112 0.791544i \(-0.290722\pi\)
\(68\) −1769.79 3065.36i −0.0464139 0.0803913i
\(69\) −53341.4 + 92390.0i −1.34878 + 2.33616i
\(70\) 6906.06 + 5794.87i 0.168456 + 0.141351i
\(71\) −37066.0 13490.9i −0.872631 0.317612i −0.133399 0.991062i \(-0.542589\pi\)
−0.739232 + 0.673451i \(0.764811\pi\)
\(72\) −25752.4 + 9373.09i −0.585445 + 0.213084i
\(73\) −5826.55 + 4889.06i −0.127969 + 0.107379i −0.704526 0.709678i \(-0.748840\pi\)
0.576557 + 0.817057i \(0.304396\pi\)
\(74\) 4246.61 + 24083.7i 0.0901495 + 0.511263i
\(75\) −72133.0 −1.48075
\(76\) −15836.9 19572.3i −0.314511 0.388694i
\(77\) 8690.29 0.167035
\(78\) 9723.40 + 55144.1i 0.180960 + 1.02627i
\(79\) 31918.9 26783.2i 0.575414 0.482830i −0.308023 0.951379i \(-0.599667\pi\)
0.883438 + 0.468549i \(0.155223\pi\)
\(80\) 4440.68 1616.28i 0.0775756 0.0282352i
\(81\) −19034.8 6928.10i −0.322356 0.117328i
\(82\) −62407.4 52366.0i −1.02495 0.860032i
\(83\) 17876.7 30963.4i 0.284835 0.493348i −0.687734 0.725962i \(-0.741395\pi\)
0.972569 + 0.232614i \(0.0747279\pi\)
\(84\) 25305.2 + 43829.9i 0.391301 + 0.677754i
\(85\) −709.129 + 4021.67i −0.0106458 + 0.0603753i
\(86\) 3544.76 20103.4i 0.0516822 0.293104i
\(87\) −71926.4 124580.i −1.01880 1.76462i
\(88\) 2277.68 3945.05i 0.0313534 0.0543058i
\(89\) 68243.2 + 57262.9i 0.913239 + 0.766299i 0.972732 0.231930i \(-0.0745040\pi\)
−0.0594932 + 0.998229i \(0.518948\pi\)
\(90\) 29711.3 + 10814.0i 0.386647 + 0.140728i
\(91\) 61992.4 22563.4i 0.784757 0.285628i
\(92\) 50470.9 42350.1i 0.621686 0.521657i
\(93\) 33970.6 + 192657.i 0.407282 + 2.30981i
\(94\) 21025.2 0.245426
\(95\) −518.135 + 29042.8i −0.00589025 + 0.330164i
\(96\) 26529.4 0.293798
\(97\) −2906.75 16485.0i −0.0313674 0.177893i 0.965099 0.261885i \(-0.0843441\pi\)
−0.996466 + 0.0839919i \(0.973233\pi\)
\(98\) −5822.55 + 4885.70i −0.0612418 + 0.0513880i
\(99\) 28640.4 10424.3i 0.293691 0.106895i
\(100\) 41861.3 + 15236.3i 0.418613 + 0.152363i
\(101\) −67128.7 56327.7i −0.654794 0.549438i 0.253727 0.967276i \(-0.418343\pi\)
−0.908521 + 0.417838i \(0.862788\pi\)
\(102\) −11462.7 + 19854.0i −0.109091 + 0.188951i
\(103\) −75098.4 130074.i −0.697489 1.20809i −0.969334 0.245745i \(-0.920967\pi\)
0.271845 0.962341i \(-0.412366\pi\)
\(104\) 6004.97 34055.9i 0.0544412 0.308751i
\(105\) 10139.4 57503.6i 0.0897513 0.509005i
\(106\) 6890.41 + 11934.5i 0.0595635 + 0.103167i
\(107\) −27285.2 + 47259.3i −0.230392 + 0.399051i −0.957924 0.287023i \(-0.907334\pi\)
0.727531 + 0.686074i \(0.240668\pi\)
\(108\) 58810.2 + 49347.6i 0.485170 + 0.407106i
\(109\) 4523.12 + 1646.28i 0.0364646 + 0.0132720i 0.360188 0.932880i \(-0.382713\pi\)
−0.323723 + 0.946152i \(0.604935\pi\)
\(110\) −4938.69 + 1797.54i −0.0389162 + 0.0141643i
\(111\) 121337. 101814.i 0.934731 0.784332i
\(112\) −5427.53 30781.1i −0.0408844 0.231867i
\(113\) 116554. 0.858676 0.429338 0.903144i \(-0.358747\pi\)
0.429338 + 0.903144i \(0.358747\pi\)
\(114\) −58497.3 + 152216.i −0.421574 + 1.09698i
\(115\) −76013.6 −0.535977
\(116\) 15427.0 + 87490.8i 0.106448 + 0.603695i
\(117\) 177242. 148723.i 1.19702 1.00442i
\(118\) −196689. + 71588.9i −1.30039 + 0.473304i
\(119\) 25381.0 + 9237.93i 0.164301 + 0.0598008i
\(120\) −23446.9 19674.3i −0.148639 0.124723i
\(121\) 77992.4 135087.i 0.484271 0.838783i
\(122\) 88465.0 + 153226.i 0.538111 + 0.932036i
\(123\) −91626.2 + 519638.i −0.546081 + 3.09698i
\(124\) 20979.5 118981.i 0.122530 0.694900i
\(125\) −54541.3 94468.4i −0.312213 0.540769i
\(126\) 104562. 181107.i 0.586742 1.01627i
\(127\) −187992. 157744.i −1.03426 0.867849i −0.0429099 0.999079i \(-0.513663\pi\)
−0.991352 + 0.131230i \(0.958107\pi\)
\(128\) −15395.9 5603.66i −0.0830579 0.0302306i
\(129\) −124243. + 45220.6i −0.657349 + 0.239256i
\(130\) −30563.2 + 25645.6i −0.158614 + 0.133093i
\(131\) 19656.2 + 111476.i 0.100074 + 0.567549i 0.993074 + 0.117492i \(0.0374854\pi\)
−0.893000 + 0.450057i \(0.851404\pi\)
\(132\) −29504.6 −0.147385
\(133\) 188578. + 36731.2i 0.924403 + 0.180055i
\(134\) 260335. 1.25248
\(135\) −15380.6 87227.7i −0.0726338 0.411927i
\(136\) 10845.9 9100.77i 0.0502826 0.0421921i
\(137\) −185257. + 67428.0i −0.843282 + 0.306930i −0.727298 0.686321i \(-0.759224\pi\)
−0.115984 + 0.993251i \(0.537002\pi\)
\(138\) −400996. 145951.i −1.79243 0.652392i
\(139\) 134772. + 113087.i 0.591646 + 0.496450i 0.888748 0.458396i \(-0.151576\pi\)
−0.297102 + 0.954846i \(0.596020\pi\)
\(140\) −18030.4 + 31229.6i −0.0777475 + 0.134663i
\(141\) −68089.1 117934.i −0.288423 0.499563i
\(142\) 27398.1 155382.i 0.114025 0.646668i
\(143\) −6678.40 + 37875.1i −0.0273107 + 0.154887i
\(144\) −54810.2 94934.0i −0.220270 0.381519i
\(145\) 51249.0 88765.8i 0.202425 0.350611i
\(146\) −23306.2 19556.2i −0.0904877 0.0759282i
\(147\) 46260.8 + 16837.5i 0.176571 + 0.0642666i
\(148\) −91921.8 + 33456.8i −0.344956 + 0.125554i
\(149\) −350674. + 294250.i −1.29401 + 1.08580i −0.302864 + 0.953034i \(0.597943\pi\)
−0.991147 + 0.132770i \(0.957613\pi\)
\(150\) −50103.1 284149.i −0.181818 1.03114i
\(151\) −309788. −1.10566 −0.552830 0.833294i \(-0.686452\pi\)
−0.552830 + 0.833294i \(0.686452\pi\)
\(152\) 66099.7 75979.8i 0.232055 0.266741i
\(153\) 94728.8 0.327155
\(154\) 6036.21 + 34233.0i 0.0205099 + 0.116317i
\(155\) −106778. + 89597.7i −0.356988 + 0.299549i
\(156\) −210472. + 76605.4i −0.692440 + 0.252028i
\(157\) −66793.7 24310.9i −0.216265 0.0787140i 0.231616 0.972807i \(-0.425599\pi\)
−0.447881 + 0.894093i \(0.647821\pi\)
\(158\) 127676. + 107133.i 0.406879 + 0.341412i
\(159\) 44628.5 77298.8i 0.139997 0.242482i
\(160\) 9451.36 + 16370.2i 0.0291873 + 0.0505539i
\(161\) −87303.0 + 495120.i −0.265439 + 1.50538i
\(162\) 14070.0 79794.7i 0.0421216 0.238884i
\(163\) 163420. + 283051.i 0.481765 + 0.834441i 0.999781 0.0209297i \(-0.00666261\pi\)
−0.518016 + 0.855371i \(0.673329\pi\)
\(164\) 162934. 282210.i 0.473045 0.819338i
\(165\) 26076.4 + 21880.7i 0.0745655 + 0.0625678i
\(166\) 134389. + 48913.6i 0.378524 + 0.137772i
\(167\) 213341. 77649.7i 0.591947 0.215451i −0.0286387 0.999590i \(-0.509117\pi\)
0.620585 + 0.784139i \(0.286895\pi\)
\(168\) −155079. + 130127.i −0.423917 + 0.355708i
\(169\) −13776.3 78129.4i −0.0371036 0.210425i
\(170\) −16334.8 −0.0433503
\(171\) 665551. 105150.i 1.74057 0.274992i
\(172\) 81653.9 0.210453
\(173\) −61011.4 346013.i −0.154987 0.878976i −0.958797 0.284090i \(-0.908308\pi\)
0.803810 0.594886i \(-0.202803\pi\)
\(174\) 440791. 369867.i 1.10372 0.926132i
\(175\) −319437. + 116265.i −0.788478 + 0.286983i
\(176\) 17122.5 + 6232.09i 0.0416664 + 0.0151653i
\(177\) 1.03852e6 + 871423.i 2.49162 + 2.09072i
\(178\) −178170. + 308600.i −0.421488 + 0.730039i
\(179\) −98068.8 169860.i −0.228770 0.396241i 0.728674 0.684861i \(-0.240137\pi\)
−0.957444 + 0.288620i \(0.906804\pi\)
\(180\) −21961.7 + 124551.i −0.0505224 + 0.286527i
\(181\) 54825.1 310928.i 0.124389 0.705446i −0.857280 0.514851i \(-0.827847\pi\)
0.981669 0.190595i \(-0.0610417\pi\)
\(182\) 131942. + 228530.i 0.295260 + 0.511405i
\(183\) 572979. 992429.i 1.26477 2.19064i
\(184\) 201884. + 169400.i 0.439599 + 0.368867i
\(185\) 106053. + 38600.1i 0.227821 + 0.0829200i
\(186\) −735323. + 267636.i −1.55846 + 0.567233i
\(187\) −12062.2 + 10121.4i −0.0252245 + 0.0211659i
\(188\) 14603.9 + 82823.1i 0.0301353 + 0.170906i
\(189\) −585829. −1.19293
\(190\) −114766. + 18131.9i −0.230638 + 0.0364384i
\(191\) −489237. −0.970367 −0.485184 0.874412i \(-0.661247\pi\)
−0.485184 + 0.874412i \(0.661247\pi\)
\(192\) 18427.1 + 104505.i 0.0360749 + 0.204591i
\(193\) 249223. 209123.i 0.481610 0.404119i −0.369398 0.929271i \(-0.620436\pi\)
0.851008 + 0.525153i \(0.175992\pi\)
\(194\) 62919.2 22900.7i 0.120027 0.0436862i
\(195\) 242828. + 88382.0i 0.457311 + 0.166447i
\(196\) −23290.2 19542.8i −0.0433045 0.0363368i
\(197\) 398525. 690265.i 0.731627 1.26722i −0.224560 0.974460i \(-0.572094\pi\)
0.956187 0.292755i \(-0.0945722\pi\)
\(198\) 60956.9 + 105581.i 0.110499 + 0.191391i
\(199\) 5622.94 31889.3i 0.0100654 0.0570837i −0.979361 0.202117i \(-0.935218\pi\)
0.989427 + 0.145033i \(0.0463290\pi\)
\(200\) −30942.6 + 175484.i −0.0546993 + 0.310215i
\(201\) −843083. 1.46026e6i −1.47191 2.54942i
\(202\) 175261. 303560.i 0.302208 0.523439i
\(203\) −519322. 435763.i −0.884498 0.742182i
\(204\) −86171.6 31363.9i −0.144973 0.0527660i
\(205\) −353290. + 128587.i −0.587148 + 0.213704i
\(206\) 460229. 386178.i 0.755625 0.634045i
\(207\) 306188. + 1.73648e6i 0.496664 + 2.81672i
\(208\) 138325. 0.221688
\(209\) −73512.5 + 84500.7i −0.116411 + 0.133812i
\(210\) 233563. 0.365473
\(211\) −89703.2 508732.i −0.138708 0.786653i −0.972205 0.234129i \(-0.924776\pi\)
0.833497 0.552524i \(-0.186335\pi\)
\(212\) −42226.9 + 35432.5i −0.0645281 + 0.0541455i
\(213\) −960293. + 349518.i −1.45029 + 0.527862i
\(214\) −205118. 74656.7i −0.306174 0.111438i
\(215\) −72166.4 60554.8i −0.106473 0.0893414i
\(216\) −153543. + 265944.i −0.223921 + 0.387842i
\(217\) 460964. + 798414.i 0.664535 + 1.15101i
\(218\) −3343.35 + 18961.1i −0.00476476 + 0.0270223i
\(219\) −34218.1 + 194060.i −0.0482109 + 0.273418i
\(220\) −10511.3 18206.1i −0.0146420 0.0253606i
\(221\) −59767.0 + 103519.i −0.0823153 + 0.142574i
\(222\) 485349. + 407256.i 0.660954 + 0.554607i
\(223\) 1.22826e6 + 447049.i 1.65397 + 0.601995i 0.989398 0.145230i \(-0.0463924\pi\)
0.664570 + 0.747226i \(0.268615\pi\)
\(224\) 117484. 42760.6i 0.156444 0.0569408i
\(225\) −913297. + 766347.i −1.20270 + 1.00918i
\(226\) 80957.3 + 459131.i 0.105435 + 0.597951i
\(227\) −1.11112e6 −1.43119 −0.715593 0.698517i \(-0.753844\pi\)
−0.715593 + 0.698517i \(0.753844\pi\)
\(228\) −640244. 124707.i −0.815658 0.158874i
\(229\) −824.381 −0.00103882 −0.000519409 1.00000i \(-0.500165\pi\)
−0.000519409 1.00000i \(0.500165\pi\)
\(230\) −52798.5 299435.i −0.0658115 0.373236i
\(231\) 172471. 144720.i 0.212660 0.178443i
\(232\) −333931. + 121541.i −0.407321 + 0.148253i
\(233\) −165895. 60381.0i −0.200191 0.0728636i 0.239979 0.970778i \(-0.422860\pi\)
−0.440170 + 0.897915i \(0.645082\pi\)
\(234\) 708966. + 594893.i 0.846420 + 0.710231i
\(235\) 48514.8 84030.1i 0.0573066 0.0992579i
\(236\) −418624. 725078.i −0.489265 0.847431i
\(237\) 187453. 1.06310e6i 0.216781 1.22943i
\(238\) −18760.9 + 106398.i −0.0214689 + 0.121756i
\(239\) −311931. 540280.i −0.353235 0.611820i 0.633580 0.773678i \(-0.281585\pi\)
−0.986814 + 0.161857i \(0.948252\pi\)
\(240\) 61215.5 106028.i 0.0686015 0.118821i
\(241\) 532670. + 446963.i 0.590766 + 0.495712i 0.888463 0.458949i \(-0.151774\pi\)
−0.297696 + 0.954661i \(0.596218\pi\)
\(242\) 586311. + 213400.i 0.643561 + 0.234237i
\(243\) 602502. 219293.i 0.654550 0.238237i
\(244\) −542145. + 454914.i −0.582963 + 0.489164i
\(245\) 6091.07 + 34544.2i 0.00648304 + 0.0367671i
\(246\) −2.11062e6 −2.22368
\(247\) −305007. + 793655.i −0.318102 + 0.827732i
\(248\) 483265. 0.498949
\(249\) −160848. 912215.i −0.164406 0.932392i
\(250\) 334249. 280468.i 0.338236 0.283814i
\(251\) −99497.1 + 36214.0i −0.0996842 + 0.0362821i −0.391381 0.920229i \(-0.628002\pi\)
0.291697 + 0.956511i \(0.405780\pi\)
\(252\) 786048. + 286098.i 0.779737 + 0.283801i
\(253\) −224524. 188398.i −0.220527 0.185044i
\(254\) 490813. 850113.i 0.477344 0.826784i
\(255\) 52899.6 + 91624.8i 0.0509450 + 0.0882394i
\(256\) 11380.2 64540.4i 0.0108530 0.0615505i
\(257\) 40910.0 232012.i 0.0386364 0.219118i −0.959376 0.282129i \(-0.908959\pi\)
0.998013 + 0.0630112i \(0.0200704\pi\)
\(258\) −264432. 458010.i −0.247323 0.428377i
\(259\) 373228. 646451.i 0.345721 0.598806i
\(260\) −122253. 102582.i −0.112157 0.0941106i
\(261\) −2.23423e6 813193.i −2.03014 0.738912i
\(262\) −425477. + 154861.i −0.382933 + 0.139376i
\(263\) −134692. + 113020.i −0.120075 + 0.100755i −0.700848 0.713311i \(-0.747195\pi\)
0.580773 + 0.814066i \(0.302750\pi\)
\(264\) −20493.7 116225.i −0.0180971 0.102634i
\(265\) 63597.4 0.0556320
\(266\) −13707.9 + 768364.i −0.0118786 + 0.665829i
\(267\) 2.30799e6 1.98132
\(268\) 180827. + 1.02552e6i 0.153789 + 0.872182i
\(269\) 162670. 136496.i 0.137065 0.115011i −0.571678 0.820478i \(-0.693707\pi\)
0.708743 + 0.705467i \(0.249263\pi\)
\(270\) 332927. 121176.i 0.277933 0.101159i
\(271\) −368035. 133954.i −0.304415 0.110798i 0.185296 0.982683i \(-0.440676\pi\)
−0.489711 + 0.871885i \(0.662898\pi\)
\(272\) 43383.5 + 36403.1i 0.0355551 + 0.0298343i
\(273\) 854575. 1.48017e6i 0.693974 1.20200i
\(274\) −394293. 682935.i −0.317280 0.549544i
\(275\) 34412.7 195164.i 0.0274402 0.155621i
\(276\) 296404. 1.68099e6i 0.234213 1.32829i
\(277\) 1.02276e6 + 1.77147e6i 0.800894 + 1.38719i 0.919029 + 0.394191i \(0.128975\pi\)
−0.118135 + 0.992998i \(0.537691\pi\)
\(278\) −351864. + 609447.i −0.273063 + 0.472959i
\(279\) 2.47691e6 + 2.07837e6i 1.90502 + 1.59850i
\(280\) −135545. 49334.2i −0.103321 0.0376056i
\(281\) 1.52443e6 554848.i 1.15171 0.419187i 0.305579 0.952167i \(-0.401150\pi\)
0.846128 + 0.532980i \(0.178928\pi\)
\(282\) 417274. 350134.i 0.312463 0.262188i
\(283\) 305963. + 1.73520e6i 0.227093 + 1.28791i 0.858644 + 0.512572i \(0.171307\pi\)
−0.631551 + 0.775334i \(0.717582\pi\)
\(284\) 631118. 0.464317
\(285\) 473370. + 585024.i 0.345214 + 0.426640i
\(286\) −153838. −0.111211
\(287\) 431802. + 2.44887e6i 0.309442 + 1.75493i
\(288\) 335896. 281850.i 0.238629 0.200234i
\(289\) 1.28824e6 468881.i 0.907303 0.330231i
\(290\) 385266. + 140225.i 0.269008 + 0.0979111i
\(291\) −332214. 278761.i −0.229978 0.192974i
\(292\) 60848.2 105392.i 0.0417629 0.0723355i
\(293\) −674846. 1.16887e6i −0.459236 0.795420i 0.539685 0.841867i \(-0.318543\pi\)
−0.998921 + 0.0464475i \(0.985210\pi\)
\(294\) −34194.6 + 193927.i −0.0230722 + 0.130849i
\(295\) −167737. + 951283.i −0.112221 + 0.636436i
\(296\) −195642. 338862.i −0.129788 0.224799i
\(297\) 170762. 295768.i 0.112331 0.194563i
\(298\) −1.40270e6 1.17700e6i −0.915004 0.767779i
\(299\) −2.09080e6 760990.i −1.35249 0.492267i
\(300\) 1.08453e6 394735.i 0.695724 0.253223i
\(301\) −477313. + 400513.i −0.303660 + 0.254801i
\(302\) −215176. 1.22033e6i −0.135762 0.769942i
\(303\) −2.27029e6 −1.42061
\(304\) 345214. + 207607.i 0.214242 + 0.128842i
\(305\) 816518. 0.502593
\(306\) 65797.9 + 373159.i 0.0401706 + 0.227819i
\(307\) −1.50066e6 + 1.25920e6i −0.908733 + 0.762518i −0.971878 0.235487i \(-0.924332\pi\)
0.0631442 + 0.998004i \(0.479887\pi\)
\(308\) −130659. + 47556.1i −0.0784808 + 0.0285647i
\(309\) −3.65657e6 1.33088e6i −2.17860 0.792946i
\(310\) −427113. 358391.i −0.252429 0.211813i
\(311\) −379668. + 657604.i −0.222588 + 0.385535i −0.955593 0.294689i \(-0.904784\pi\)
0.733005 + 0.680224i \(0.238117\pi\)
\(312\) −447959. 775887.i −0.260526 0.451245i
\(313\) −248985. + 1.41206e6i −0.143652 + 0.814692i 0.824787 + 0.565443i \(0.191295\pi\)
−0.968439 + 0.249249i \(0.919816\pi\)
\(314\) 49371.9 280002.i 0.0282589 0.160264i
\(315\) −482545. 835792.i −0.274007 0.474594i
\(316\) −333338. + 577358.i −0.187787 + 0.325257i
\(317\) 1.98899e6 + 1.66896e6i 1.11169 + 0.932820i 0.998155 0.0607137i \(-0.0193377\pi\)
0.113536 + 0.993534i \(0.463782\pi\)
\(318\) 335497. + 122111.i 0.186046 + 0.0677152i
\(319\) 371380. 135171.i 0.204335 0.0743717i
\(320\) −57921.3 + 48601.7i −0.0316201 + 0.0265324i
\(321\) 245502. + 1.39231e6i 0.132982 + 0.754177i
\(322\) −2.01103e6 −1.08088
\(323\) −304528. + 168649.i −0.162413 + 0.0899451i
\(324\) 324102. 0.171522
\(325\) −261239. 1.48156e6i −0.137192 0.778055i
\(326\) −1.00149e6 + 840353.i −0.521920 + 0.437943i
\(327\) 117183. 42651.2i 0.0606033 0.0220578i
\(328\) 1.22486e6 + 445814.i 0.628642 + 0.228807i
\(329\) −491616. 412515.i −0.250401 0.210112i
\(330\) −68080.6 + 117919.i −0.0344143 + 0.0596073i
\(331\) −1.38578e6 2.40024e6i −0.695222 1.20416i −0.970106 0.242683i \(-0.921973\pi\)
0.274884 0.961478i \(-0.411361\pi\)
\(332\) −99336.4 + 563365.i −0.0494610 + 0.280507i
\(333\) 454605. 2.57819e6i 0.224659 1.27410i
\(334\) 454065. + 786464.i 0.222716 + 0.385756i
\(335\) 600713. 1.04047e6i 0.292452 0.506542i
\(336\) −620317. 520508.i −0.299754 0.251524i
\(337\) −412446. 150118.i −0.197830 0.0720043i 0.241205 0.970474i \(-0.422457\pi\)
−0.439035 + 0.898470i \(0.644680\pi\)
\(338\) 298201. 108536.i 0.141977 0.0516753i
\(339\) 2.31317e6 1.94098e6i 1.09322 0.917321i
\(340\) −11346.1 64346.7i −0.00532289 0.0301876i
\(341\) −537461. −0.250300
\(342\) 876498. + 2.54872e6i 0.405215 + 1.17830i
\(343\) 2.28403e6 1.04825
\(344\) 56716.2 + 321654.i 0.0258411 + 0.146552i
\(345\) −1.50859e6 + 1.26586e6i −0.682378 + 0.572583i
\(346\) 1.32065e6 480676.i 0.593057 0.215855i
\(347\) −1.25630e6 457257.i −0.560107 0.203862i 0.0464246 0.998922i \(-0.485217\pi\)
−0.606531 + 0.795060i \(0.707439\pi\)
\(348\) 1.76316e6 + 1.47947e6i 0.780448 + 0.654874i
\(349\) −810674. + 1.40413e6i −0.356273 + 0.617083i −0.987335 0.158650i \(-0.949286\pi\)
0.631062 + 0.775732i \(0.282619\pi\)
\(350\) −679875. 1.17758e6i −0.296660 0.513830i
\(351\) 450204. 2.55324e6i 0.195048 1.10617i
\(352\) −12656.5 + 71778.3i −0.00544447 + 0.0308771i
\(353\) 1.10929e6 + 1.92134e6i 0.473813 + 0.820669i 0.999551 0.0299782i \(-0.00954377\pi\)
−0.525737 + 0.850647i \(0.676210\pi\)
\(354\) −2.71139e6 + 4.69626e6i −1.14996 + 1.99179i
\(355\) −557787. 468039.i −0.234908 0.197111i
\(356\) −1.33940e6 487503.i −0.560127 0.203870i
\(357\) 657561. 239333.i 0.273065 0.0993874i
\(358\) 601001. 504299.i 0.247838 0.207961i
\(359\) 208961. + 1.18507e6i 0.0855713 + 0.485299i 0.997232 + 0.0743548i \(0.0236897\pi\)
−0.911661 + 0.410944i \(0.865199\pi\)
\(360\) −505889. −0.205731
\(361\) −1.95237e6 + 1.52294e6i −0.788485 + 0.615054i
\(362\) 1.26290e6 0.506521
\(363\) −701746. 3.97980e6i −0.279520 1.58524i
\(364\) −808587. + 678485.i −0.319870 + 0.268403i
\(365\) −131937. + 48021.3i −0.0518365 + 0.0188669i
\(366\) 4.30740e6 + 1.56776e6i 1.68078 + 0.611756i
\(367\) −3.51529e6 2.94968e6i −1.36237 1.14317i −0.975241 0.221143i \(-0.929021\pi\)
−0.387132 0.922024i \(-0.626534\pi\)
\(368\) −527080. + 912930.i −0.202888 + 0.351413i
\(369\) 4.36057e6 + 7.55273e6i 1.66716 + 2.88761i
\(370\) −78391.1 + 444578.i −0.0297689 + 0.168828i
\(371\) 73042.8 414246.i 0.0275513 0.156251i
\(372\) −1.56503e6 2.71071e6i −0.586361 1.01561i
\(373\) 2.44484e6 4.23460e6i 0.909870 1.57594i 0.0956262 0.995417i \(-0.469515\pi\)
0.814244 0.580523i \(-0.197152\pi\)
\(374\) −48248.8 40485.6i −0.0178364 0.0149665i
\(375\) −2.65564e6 966574.i −0.975194 0.354941i
\(376\) −316115. + 115057.i −0.115312 + 0.0419703i
\(377\) 2.29829e6 1.92850e6i 0.832822 0.698820i
\(378\) −406913. 2.30772e6i −0.146478 0.830717i
\(379\) 4.54801e6 1.62639 0.813193 0.581995i \(-0.197728\pi\)
0.813193 + 0.581995i \(0.197728\pi\)
\(380\) −151142. 439497.i −0.0536939 0.156134i
\(381\) −6.35789e6 −2.24389
\(382\) −339821. 1.92722e6i −0.119149 0.675729i
\(383\) 1.11378e6 934574.i 0.387975 0.325549i −0.427849 0.903850i \(-0.640728\pi\)
0.815824 + 0.578301i \(0.196284\pi\)
\(384\) −398872. + 145177.i −0.138040 + 0.0502425i
\(385\) 150745. + 54866.8i 0.0518313 + 0.0188651i
\(386\) 996893. + 836493.i 0.340550 + 0.285755i
\(387\) −1.09264e6 + 1.89251e6i −0.370852 + 0.642335i
\(388\) 133914. + 231946.i 0.0451594 + 0.0782183i
\(389\) −253833. + 1.43956e6i −0.0850498 + 0.482341i 0.912296 + 0.409531i \(0.134308\pi\)
−0.997346 + 0.0728100i \(0.976803\pi\)
\(390\) −179491. + 1.01794e6i −0.0597559 + 0.338893i
\(391\) −455478. 788911.i −0.150670 0.260967i
\(392\) 60806.4 105320.i 0.0199864 0.0346174i
\(393\) 2.24653e6 + 1.88506e6i 0.733720 + 0.615664i
\(394\) 2.99593e6 + 1.09043e6i 0.972279 + 0.353880i
\(395\) 722777. 263069.i 0.233084 0.0848355i
\(396\) −373566. + 313459.i −0.119710 + 0.100448i
\(397\) 275501. + 1.56244e6i 0.0877296 + 0.497539i 0.996734 + 0.0807531i \(0.0257325\pi\)
−0.909005 + 0.416786i \(0.863156\pi\)
\(398\) 129525. 0.0409870
\(399\) 4.35427e6 2.41142e6i 1.36925 0.758299i
\(400\) −712765. −0.222739
\(401\) 658286. + 3.73333e6i 0.204434 + 1.15940i 0.898328 + 0.439326i \(0.144783\pi\)
−0.693893 + 0.720078i \(0.744106\pi\)
\(402\) 5.16671e6 4.33539e6i 1.59459 1.33802i
\(403\) −3.83399e6 + 1.39546e6i −1.17595 + 0.428011i
\(404\) 1.31753e6 + 479541.i 0.401612 + 0.146175i
\(405\) −286445. 240355.i −0.0867767 0.0728143i
\(406\) 1.35585e6 2.34841e6i 0.408224 0.707064i
\(407\) 217583. + 376864.i 0.0651086 + 0.112771i
\(408\) 63695.4 361235.i 0.0189434 0.107433i
\(409\) 472218. 2.67808e6i 0.139584 0.791618i −0.831974 0.554815i \(-0.812789\pi\)
0.971558 0.236804i \(-0.0760998\pi\)
\(410\) −751928. 1.30238e6i −0.220911 0.382628i
\(411\) −2.55380e6 + 4.42330e6i −0.745730 + 1.29164i
\(412\) 1.84092e6 + 1.54471e6i 0.534308 + 0.448337i
\(413\) 6.00360e6 + 2.18513e6i 1.73196 + 0.630380i
\(414\) −6.62772e6 + 2.41229e6i −1.90048 + 0.691718i
\(415\) 505587. 424238.i 0.144104 0.120918i
\(416\) 96079.5 + 544894.i 0.0272206 + 0.154376i
\(417\) 4.55798e6 1.28361
\(418\) −383929. 230889.i −0.107476 0.0646343i
\(419\) −1.05626e6 −0.293924 −0.146962 0.989142i \(-0.546950\pi\)
−0.146962 + 0.989142i \(0.546950\pi\)
\(420\) 162231. + 920058.i 0.0448757 + 0.254502i
\(421\) −403044. + 338194.i −0.110827 + 0.0929952i −0.696517 0.717540i \(-0.745268\pi\)
0.585690 + 0.810535i \(0.300824\pi\)
\(422\) 1.94171e6 706724.i 0.530765 0.193183i
\(423\) −2.11503e6 769809.i −0.574733 0.209186i
\(424\) −168907. 141730.i −0.0456283 0.0382867i
\(425\) 307969. 533418.i 0.0827056 0.143250i
\(426\) −2.04384e6 3.54004e6i −0.545662 0.945115i
\(427\) 937787. 5.31845e6i 0.248905 1.41161i
\(428\) 151617. 859862.i 0.0400072 0.226892i
\(429\) 498196. + 862900.i 0.130694 + 0.226369i
\(430\) 188413. 326341.i 0.0491406 0.0851140i
\(431\) −5.01615e6 4.20905e6i −1.30070 1.09142i −0.990023 0.140903i \(-0.954999\pi\)
−0.310679 0.950515i \(-0.600556\pi\)
\(432\) −1.15426e6 420117.i −0.297574 0.108308i
\(433\) −57366.6 + 20879.7i −0.0147041 + 0.00535186i −0.349362 0.936988i \(-0.613602\pi\)
0.334658 + 0.942340i \(0.391379\pi\)
\(434\) −2.82495e6 + 2.37042e6i −0.719924 + 0.604088i
\(435\) −461119. 2.61513e6i −0.116839 0.662630i
\(436\) −77014.5 −0.0194024
\(437\) −4.07583e6 5.03720e6i −1.02097 1.26178i
\(438\) −788216. −0.196318
\(439\) 653232. + 3.70466e6i 0.161773 + 0.917461i 0.952329 + 0.305071i \(0.0986804\pi\)
−0.790556 + 0.612389i \(0.790209\pi\)
\(440\) 64416.9 54052.2i 0.0158624 0.0133101i
\(441\) 764604. 278293.i 0.187215 0.0681406i
\(442\) −449301. 163532.i −0.109391 0.0398150i
\(443\) −847988. 711547.i −0.205296 0.172264i 0.534343 0.845268i \(-0.320559\pi\)
−0.739639 + 0.673004i \(0.765004\pi\)
\(444\) −1.26716e6 + 2.19478e6i −0.305051 + 0.528364i
\(445\) 822242. + 1.42417e6i 0.196834 + 0.340926i
\(446\) −907891. + 5.14891e6i −0.216121 + 1.22568i
\(447\) −2.05943e6 + 1.16796e7i −0.487504 + 2.76477i
\(448\) 250047. + 433095.i 0.0588609 + 0.101950i
\(449\) 1.97940e6 3.42842e6i 0.463358 0.802560i −0.535767 0.844366i \(-0.679978\pi\)
0.999126 + 0.0418055i \(0.0133110\pi\)
\(450\) −3.65319e6 3.06539e6i −0.850434 0.713599i
\(451\) −1.36223e6 495810.i −0.315361 0.114782i
\(452\) −1.75239e6 + 637819.i −0.403446 + 0.146842i
\(453\) −6.14816e6 + 5.15892e6i −1.40767 + 1.18117i
\(454\) −771776. 4.37696e6i −0.175732 0.996627i
\(455\) 1.21780e6 0.275771
\(456\) 46540.0 2.60869e6i 0.0104813 0.587503i
\(457\) −4.54409e6 −1.01779 −0.508893 0.860830i \(-0.669945\pi\)
−0.508893 + 0.860830i \(0.669945\pi\)
\(458\) −572.609 3247.43i −0.000127554 0.000723395i
\(459\) 813137. 682303.i 0.180149 0.151163i
\(460\) 1.14287e6 415971.i 0.251827 0.0916575i
\(461\) 713109. + 259550.i 0.156280 + 0.0568813i 0.418976 0.907997i \(-0.362389\pi\)
−0.262696 + 0.964879i \(0.584611\pi\)
\(462\) 689883. + 578881.i 0.150373 + 0.126178i
\(463\) 1.28722e6 2.22952e6i 0.279061 0.483348i −0.692091 0.721811i \(-0.743310\pi\)
0.971152 + 0.238463i \(0.0766435\pi\)
\(464\) −710724. 1.23101e6i −0.153252 0.265440i
\(465\) −627086. + 3.55638e6i −0.134491 + 0.762739i
\(466\) 122625. 695441.i 0.0261586 0.148353i
\(467\) 4.03364e6 + 6.98646e6i 0.855864 + 1.48240i 0.875841 + 0.482599i \(0.160307\pi\)
−0.0199777 + 0.999800i \(0.506360\pi\)
\(468\) −1.85098e6 + 3.20599e6i −0.390649 + 0.676624i
\(469\) −6.08722e6 5.10778e6i −1.27787 1.07226i
\(470\) 364712. + 132744.i 0.0761562 + 0.0277186i
\(471\) −1.73046e6 + 629838.i −0.359427 + 0.130821i
\(472\) 2.56548e6 2.15269e6i 0.530045 0.444761i
\(473\) −63076.7 357726.i −0.0129633 0.0735187i
\(474\) 4.31799e6 0.882746
\(475\) 1.57165e6 4.08958e6i 0.319611 0.831657i
\(476\) −432158. −0.0874230
\(477\) −256175. 1.45284e6i −0.0515514 0.292362i
\(478\) 1.91162e6 1.60404e6i 0.382677 0.321104i
\(479\) −1.25242e6 + 455845.i −0.249409 + 0.0907775i −0.463700 0.885993i \(-0.653478\pi\)
0.214291 + 0.976770i \(0.431256\pi\)
\(480\) 460190. + 167496.i 0.0911663 + 0.0331818i
\(481\) 2.53062e6 + 2.12344e6i 0.498729 + 0.418483i
\(482\) −1.39070e6 + 2.40877e6i −0.272657 + 0.472256i
\(483\) 6.51263e6 + 1.12802e7i 1.27025 + 2.20014i
\(484\) −433384. + 2.45784e6i −0.0840928 + 0.476914i
\(485\) 53657.6 304308.i 0.0103580 0.0587433i
\(486\) 1.28234e6 + 2.22108e6i 0.246270 + 0.426553i
\(487\) 4.05120e6 7.01688e6i 0.774035 1.34067i −0.161300 0.986905i \(-0.551569\pi\)
0.935335 0.353763i \(-0.115098\pi\)
\(488\) −2.16858e6 1.81965e6i −0.412217 0.345891i
\(489\) 7.95696e6 + 2.89610e6i 1.50479 + 0.547698i
\(490\) −131847. + 47988.3i −0.0248073 + 0.00902911i
\(491\) −4.96095e6 + 4.16273e6i −0.928669 + 0.779246i −0.975578 0.219653i \(-0.929507\pi\)
0.0469089 + 0.998899i \(0.485063\pi\)
\(492\) −1.46602e6 8.31421e6i −0.273040 1.54849i
\(493\) 1.22835e6 0.227617
\(494\) −3.33825e6 650224.i −0.615462 0.119880i
\(495\) 562623. 0.103206
\(496\) 335672. + 1.90369e6i 0.0612648 + 0.347450i
\(497\) −3.68924e6 + 3.09564e6i −0.669955 + 0.562159i
\(498\) 3.48170e6 1.26724e6i 0.629098 0.228973i
\(499\) −1.92702e6 701378.i −0.346445 0.126096i 0.162936 0.986637i \(-0.447904\pi\)
−0.509382 + 0.860541i \(0.670126\pi\)
\(500\) 1.33699e6 + 1.12187e6i 0.239169 + 0.200687i
\(501\) 2.94094e6 5.09385e6i 0.523469 0.906675i
\(502\) −211765. 366788.i −0.0375055 0.0649615i
\(503\) −459775. + 2.60751e6i −0.0810261 + 0.459522i 0.917117 + 0.398617i \(0.130510\pi\)
−0.998144 + 0.0609048i \(0.980601\pi\)
\(504\) −581023. + 3.29515e6i −0.101887 + 0.577828i
\(505\) −808814. 1.40091e6i −0.141130 0.244445i
\(506\) 586191. 1.01531e6i 0.101780 0.176288i
\(507\) −1.57451e6 1.32117e6i −0.272035 0.228264i
\(508\) 3.68970e6 + 1.34294e6i 0.634355 + 0.230886i
\(509\) 6.47601e6 2.35708e6i 1.10793 0.403254i 0.277698 0.960668i \(-0.410429\pi\)
0.830235 + 0.557414i \(0.188206\pi\)
\(510\) −324188. + 272026.i −0.0551913 + 0.0463110i
\(511\) 161258. + 914537.i 0.0273192 + 0.154935i
\(512\) 262144. 0.0441942
\(513\) 4.95562e6 5.69636e6i 0.831390 0.955661i
\(514\) 942366. 0.157330
\(515\) −481454. 2.73046e6i −0.0799902 0.453647i
\(516\) 1.62054e6 1.35979e6i 0.267938 0.224827i
\(517\) 351567. 127960.i 0.0578471 0.0210546i
\(518\) 2.80576e6 + 1.02121e6i 0.459437 + 0.167221i
\(519\) −6.97304e6 5.85108e6i −1.13633 0.953493i
\(520\) 319179. 552835.i 0.0517638 0.0896576i
\(521\) −3.80300e6 6.58699e6i −0.613808 1.06315i −0.990592 0.136845i \(-0.956304\pi\)
0.376785 0.926301i \(-0.377030\pi\)
\(522\) 1.65148e6 9.36599e6i 0.265275 1.50445i
\(523\) −1.42200e6 + 8.06455e6i −0.227324 + 1.28922i 0.630869 + 0.775889i \(0.282699\pi\)
−0.858193 + 0.513328i \(0.828413\pi\)
\(524\) −905566. 1.56849e6i −0.144076 0.249547i
\(525\) −4.40348e6 + 7.62706e6i −0.697265 + 1.20770i
\(526\) −538768. 452080.i −0.0849058 0.0712444i
\(527\) −1.56972e6 571331.i −0.246204 0.0896109i
\(528\) 443604. 161459.i 0.0692485 0.0252044i
\(529\) 8.05884e6 6.76217e6i 1.25208 1.05062i
\(530\) 44174.3 + 250525.i 0.00683093 + 0.0387401i
\(531\) 2.24071e7 3.44865
\(532\) −3.03629e6 + 479702.i −0.465118 + 0.0734839i
\(533\) −1.10048e7 −1.67789
\(534\) 1.60311e6 + 9.09169e6i 0.243282 + 1.37972i
\(535\) −771676. + 647513.i −0.116560 + 0.0978057i
\(536\) −3.91416e6 + 1.42464e6i −0.588473 + 0.214187i
\(537\) −4.77501e6 1.73796e6i −0.714560 0.260078i
\(538\) 650680. + 545985.i 0.0969196 + 0.0813252i
\(539\) −67625.6 + 117131.i −0.0100263 + 0.0173660i
\(540\) 708587. + 1.22731e6i 0.104570 + 0.181121i
\(541\) −1.09569e6 + 6.21396e6i −0.160951 + 0.912800i 0.792190 + 0.610274i \(0.208941\pi\)
−0.953141 + 0.302525i \(0.902170\pi\)
\(542\) 272041. 1.54282e6i 0.0397773 0.225588i
\(543\) −4.08984e6 7.08381e6i −0.595260 1.03102i
\(544\) −113266. + 196183.i −0.0164098 + 0.0284226i
\(545\) 68066.0 + 57114.2i 0.00981610 + 0.00823669i
\(546\) 6.42430e6 + 2.33825e6i 0.922241 + 0.335668i
\(547\) −6.71910e6 + 2.44555e6i −0.960158 + 0.349469i −0.774095 0.633069i \(-0.781795\pi\)
−0.186063 + 0.982538i \(0.559573\pi\)
\(548\) 2.41637e6 2.02757e6i 0.343725 0.288420i
\(549\) −3.28899e6 1.86528e7i −0.465728 2.64127i
\(550\) 792700. 0.111738
\(551\) 8.63021e6 1.36348e6i 1.21099 0.191325i
\(552\) 6.82770e6 0.953733
\(553\) −883399. 5.01000e6i −0.122841 0.696667i
\(554\) −6.26785e6 + 5.25935e6i −0.867649 + 0.728044i
\(555\) 2.74758e6 1.00004e6i 0.378632 0.137811i
\(556\) −2.64515e6 962757.i −0.362881 0.132078i
\(557\) 4.54162e6 + 3.81087e6i 0.620259 + 0.520459i 0.897885 0.440230i \(-0.145103\pi\)
−0.277626 + 0.960689i \(0.589548\pi\)
\(558\) −6.46675e6 + 1.12007e7i −0.879227 + 1.52287i
\(559\) −1.37876e6 2.38808e6i −0.186620 0.323235i
\(560\) 100191. 568209.i 0.0135007 0.0765663i
\(561\) −70838.7 + 401746.i −0.00950305 + 0.0538945i
\(562\) 3.24453e6 + 5.61969e6i 0.433322 + 0.750537i
\(563\) −4.35599e6 + 7.54480e6i −0.579183 + 1.00317i 0.416390 + 0.909186i \(0.363295\pi\)
−0.995573 + 0.0939885i \(0.970038\pi\)
\(564\) 1.66910e6 + 1.40054e6i 0.220945 + 0.185395i
\(565\) 2.02179e6 + 735871.i 0.266449 + 0.0969796i
\(566\) −6.62285e6 + 2.41052e6i −0.868968 + 0.316278i
\(567\) −1.89456e6 + 1.58973e6i −0.247486 + 0.207666i
\(568\) 438370. + 2.48612e6i 0.0570125 + 0.323334i
\(569\) 8.64609e6 1.11954 0.559769 0.828648i \(-0.310890\pi\)
0.559769 + 0.828648i \(0.310890\pi\)
\(570\) −1.97574e6 + 2.27107e6i −0.254709 + 0.292781i
\(571\) 4.32709e6 0.555399 0.277700 0.960668i \(-0.410428\pi\)
0.277700 + 0.960668i \(0.410428\pi\)
\(572\) −106854. 606002.i −0.0136553 0.0774433i
\(573\) −9.70959e6 + 8.14732e6i −1.23542 + 1.03664i
\(574\) −9.34674e6 + 3.40193e6i −1.18408 + 0.430969i
\(575\) 1.07736e7 + 3.92126e6i 1.35891 + 0.494602i
\(576\) 1.34359e6 + 1.12740e6i 0.168736 + 0.141587i
\(577\) −5.91180e6 + 1.02395e7i −0.739232 + 1.28039i 0.213610 + 0.976919i \(0.431478\pi\)
−0.952842 + 0.303468i \(0.901856\pi\)
\(578\) 2.74183e6 + 4.74900e6i 0.341367 + 0.591265i
\(579\) 1.46363e6 8.30068e6i 0.181441 1.02900i
\(580\) −284777. + 1.61505e6i −0.0351508 + 0.199350i
\(581\) −2.18263e6 3.78043e6i −0.268250 0.464623i
\(582\) 867350. 1.50229e6i 0.106142 0.183843i
\(583\) 187850. + 157625.i 0.0228897 + 0.0192067i
\(584\) 457429. + 166490.i 0.0554998 + 0.0202003i
\(585\) 4.01349e6 1.46079e6i 0.484877 0.176481i
\(586\) 4.13570e6 3.47026e6i 0.497513 0.417463i
\(587\) 2.27015e6 + 1.28746e7i 0.271931 + 1.54220i 0.748545 + 0.663084i \(0.230753\pi\)
−0.476614 + 0.879113i \(0.658136\pi\)
\(588\) −787675. −0.0939515
\(589\) −1.16628e7 2.27168e6i −1.38521 0.269811i
\(590\) −3.86383e6 −0.456970
\(591\) −3.58578e6 2.03359e7i −0.422294 2.39495i
\(592\) 1.19896e6 1.00605e6i 0.140605 0.117982i
\(593\) 8.57162e6 3.11982e6i 1.00098 0.364328i 0.211019 0.977482i \(-0.432322\pi\)
0.789963 + 0.613154i \(0.210100\pi\)
\(594\) 1.28371e6 + 467232.i 0.149280 + 0.0543334i
\(595\) 381945. + 320490.i 0.0442292 + 0.0371127i
\(596\) 3.66218e6 6.34308e6i 0.422303 0.731450i
\(597\) −419460. 726527.i −0.0481676 0.0834288i
\(598\) 1.54546e6 8.76474e6i 0.176728 1.00227i
\(599\) 226342. 1.28365e6i 0.0257750 0.146177i −0.969204 0.246258i \(-0.920799\pi\)
0.994979 + 0.100081i \(0.0319101\pi\)
\(600\) 2.30826e6 + 3.99802e6i 0.261762 + 0.453384i
\(601\) −8.17724e6 + 1.41634e7i −0.923465 + 1.59949i −0.129454 + 0.991585i \(0.541322\pi\)
−0.794011 + 0.607903i \(0.792011\pi\)
\(602\) −1.90925e6 1.60205e6i −0.214720 0.180171i
\(603\) −2.61885e7 9.53182e6i −2.93303 1.06754i
\(604\) 4.65768e6 1.69526e6i 0.519490 0.189079i
\(605\) 2.20577e6 1.85086e6i 0.245003 0.205582i
\(606\) −1.57693e6 8.94320e6i −0.174434 0.989263i
\(607\) −7.38027e6 −0.813019 −0.406509 0.913647i \(-0.633254\pi\)
−0.406509 + 0.913647i \(0.633254\pi\)
\(608\) −578028. + 1.50408e6i −0.0634147 + 0.165011i
\(609\) −1.75635e7 −1.91897
\(610\) 567147. + 3.21645e6i 0.0617123 + 0.349988i
\(611\) 2.17568e6 1.82561e6i 0.235772 0.197836i
\(612\) −1.42425e6 + 518386.i −0.153712 + 0.0559468i
\(613\) −8.78351e6 3.19693e6i −0.944097 0.343623i −0.176315 0.984334i \(-0.556418\pi\)
−0.767783 + 0.640711i \(0.778640\pi\)
\(614\) −6.00264e6 5.03681e6i −0.642572 0.539182i
\(615\) −4.87016e6 + 8.43537e6i −0.519225 + 0.899324i
\(616\) −278089. 481665.i −0.0295279 0.0511438i
\(617\) 626137. 3.55100e6i 0.0662151 0.375524i −0.933635 0.358225i \(-0.883382\pi\)
0.999850 0.0172993i \(-0.00550681\pi\)
\(618\) 2.70283e6 1.53285e7i 0.284673 1.61446i
\(619\) 7.53106e6 + 1.30442e7i 0.790004 + 1.36833i 0.925964 + 0.377613i \(0.123255\pi\)
−0.135959 + 0.990714i \(0.543412\pi\)
\(620\) 1.11511e6 1.93143e6i 0.116504 0.201790i
\(621\) 1.51356e7 + 1.27003e7i 1.57496 + 1.32155i
\(622\) −2.85417e6 1.03883e6i −0.295804 0.107664i
\(623\) 1.02208e7 3.72006e6i 1.05503 0.383998i
\(624\) 2.74525e6 2.30354e6i 0.282241 0.236828i
\(625\) 1.16121e6 + 6.58553e6i 0.118907 + 0.674358i
\(626\) −5.73539e6 −0.584961
\(627\) −51759.3 + 2.90124e6i −0.00525798 + 0.294724i
\(628\) 1.13729e6 0.115072
\(629\) 234862. + 1.33197e6i 0.0236694 + 0.134236i
\(630\) 2.95721e6 2.48139e6i 0.296845 0.249083i
\(631\) 1.09690e7 3.99238e6i 1.09671 0.399170i 0.270609 0.962689i \(-0.412775\pi\)
0.826103 + 0.563519i \(0.190553\pi\)
\(632\) −2.50588e6 912065.i −0.249556 0.0908308i
\(633\) −1.02523e7 8.60266e6i −1.01697 0.853343i
\(634\) −5.19288e6 + 8.99434e6i −0.513080 + 0.888681i
\(635\) −2.26506e6 3.92320e6i −0.222918 0.386106i
\(636\) −247989. + 1.40642e6i −0.0243103 + 0.137870i
\(637\) −178291. + 1.01114e6i −0.0174093 + 0.0987331i
\(638\) 790429. + 1.36906e6i 0.0768796 + 0.133159i
\(639\) −8.44523e6 + 1.46276e7i −0.818200 + 1.41716i
\(640\) −231685. 194407.i −0.0223588 0.0187612i
\(641\) 3.28011e6 + 1.19386e6i 0.315314 + 0.114765i 0.494829 0.868990i \(-0.335231\pi\)
−0.179515 + 0.983755i \(0.557453\pi\)
\(642\) −5.31411e6 + 1.93418e6i −0.508853 + 0.185208i
\(643\) 1.27796e7 1.07234e7i 1.21896 1.02283i 0.220086 0.975480i \(-0.429366\pi\)
0.998878 0.0473521i \(-0.0150783\pi\)
\(644\) −1.39685e6 7.92192e6i −0.132719 0.752690i
\(645\) −2.44067e6 −0.230999
\(646\) −875870. 1.08246e6i −0.0825769 0.102054i
\(647\) 6.00141e6 0.563628 0.281814 0.959469i \(-0.409064\pi\)
0.281814 + 0.959469i \(0.409064\pi\)
\(648\) 225119. + 1.27671e6i 0.0210608 + 0.119442i
\(649\) −2.85318e6 + 2.39411e6i −0.265900 + 0.223116i
\(650\) 5.65474e6 2.05816e6i 0.524964 0.191071i
\(651\) 2.24445e7 + 8.16914e6i 2.07567 + 0.755482i
\(652\) −4.00597e6 3.36141e6i −0.369053 0.309672i
\(653\) 3.63802e6 6.30123e6i 0.333873 0.578285i −0.649395 0.760452i \(-0.724978\pi\)
0.983268 + 0.182166i \(0.0583109\pi\)
\(654\) 249408. + 431987.i 0.0228016 + 0.0394935i
\(655\) −362848. + 2.05781e6i −0.0330462 + 0.187414i
\(656\) −905383. + 5.13468e6i −0.0821434 + 0.465858i
\(657\) 1.62847e6 + 2.82059e6i 0.147186 + 0.254933i
\(658\) 1.28352e6 2.22312e6i 0.115568 0.200170i
\(659\) −1.44526e7 1.21272e7i −1.29638 1.08779i −0.990759 0.135637i \(-0.956692\pi\)
−0.305620 0.952154i \(-0.598864\pi\)
\(660\) −511799. 186280.i −0.0457340 0.0166458i
\(661\) 1.63556e7 5.95296e6i 1.45601 0.529943i 0.511744 0.859138i \(-0.329000\pi\)
0.944262 + 0.329195i \(0.106777\pi\)
\(662\) 8.49254e6 7.12609e6i 0.753169 0.631984i
\(663\) 537760. + 3.04979e6i 0.0475122 + 0.269455i
\(664\) −2.28822e6 −0.201409
\(665\) 3.03924e6 + 1.82776e6i 0.266509 + 0.160274i
\(666\) 1.04719e7 0.914825
\(667\) 3.97034e6 + 2.25169e7i 0.345552 + 1.95972i
\(668\) −2.78267e6 + 2.33494e6i −0.241280 + 0.202458i
\(669\) 3.18212e7 1.15820e7i 2.74885 1.00050i
\(670\) 4.51588e6 + 1.64365e6i 0.388647 + 0.141456i
\(671\) 2.41178e6 + 2.02372e6i 0.206791 + 0.173518i
\(672\) 1.61953e6 2.80511e6i 0.138346 0.239622i
\(673\) 3.52493e6 + 6.10535e6i 0.299994 + 0.519605i 0.976134 0.217168i \(-0.0696820\pi\)
−0.676140 + 0.736773i \(0.736349\pi\)
\(674\) 304868. 1.72899e6i 0.0258501 0.146603i
\(675\) −2.31983e6 + 1.31564e7i −0.195973 + 1.11142i
\(676\) 634677. + 1.09929e6i 0.0534178 + 0.0925224i
\(677\) 5.72974e6 9.92421e6i 0.480467 0.832193i −0.519282 0.854603i \(-0.673801\pi\)
0.999749 + 0.0224098i \(0.00713385\pi\)
\(678\) 9.25267e6 + 7.76391e6i 0.773024 + 0.648644i
\(679\) −1.92050e6 699006.i −0.159860 0.0581844i
\(680\) 245596. 89389.5i 0.0203680 0.00741335i
\(681\) −2.20517e7 + 1.85036e7i −1.82211 + 1.52893i
\(682\) −373317. 2.11718e6i −0.0307338 0.174300i
\(683\) −6.01391e6 −0.493294 −0.246647 0.969105i \(-0.579329\pi\)
−0.246647 + 0.969105i \(0.579329\pi\)
\(684\) −9.43120e6 + 5.22305e6i −0.770774 + 0.426859i
\(685\) −3.63926e6 −0.296337
\(686\) 1.58647e6 + 8.99731e6i 0.128713 + 0.729965i
\(687\) −16361.0 + 13728.5i −0.00132257 + 0.00110977i
\(688\) −1.22767e6 + 446837.i −0.0988808 + 0.0359897i
\(689\) 1.74929e6 + 636688.i 0.140383 + 0.0510951i
\(690\) −6.03438e6 5.06344e6i −0.482514 0.404877i
\(691\) 1.02066e7 1.76784e7i 0.813180 1.40847i −0.0974472 0.995241i \(-0.531068\pi\)
0.910627 0.413229i \(-0.135599\pi\)
\(692\) 2.81081e6 + 4.86846e6i 0.223134 + 0.386479i
\(693\) 646183. 3.66469e6i 0.0511120 0.289870i
\(694\) 928622. 5.26648e6i 0.0731880 0.415070i
\(695\) 1.62383e6 + 2.81255e6i 0.127520 + 0.220871i
\(696\) −4.60329e6 + 7.97313e6i −0.360201 + 0.623887i
\(697\) −3.45149e6 2.89614e6i −0.269107 0.225807i
\(698\) −6.09428e6 2.21814e6i −0.473460 0.172325i
\(699\) −4.29796e6 + 1.56433e6i −0.332712 + 0.121097i
\(700\) 4.16651e6 3.49612e6i 0.321387 0.269675i
\(701\) 195205. + 1.10706e6i 0.0150036 + 0.0850898i 0.991390 0.130941i \(-0.0417999\pi\)
−0.976387 + 0.216031i \(0.930689\pi\)
\(702\) 1.03705e7 0.794249
\(703\) 3.12862e6 + 9.09754e6i 0.238761 + 0.694282i
\(704\) −291543. −0.0221702
\(705\) −436518. 2.47561e6i −0.0330772 0.187590i
\(706\) −6.79811e6 + 5.70429e6i −0.513306 + 0.430715i
\(707\) −1.00538e7 + 3.65930e6i −0.756456 + 0.275328i
\(708\) −2.03830e7 7.41879e6i −1.52821 0.556224i
\(709\) −5.36181e6 4.49909e6i −0.400586 0.336132i 0.420134 0.907462i \(-0.361983\pi\)
−0.820720 + 0.571330i \(0.806427\pi\)
\(710\) 1.45628e6 2.52235e6i 0.108417 0.187784i
\(711\) −8.92104e6 1.54517e7i −0.661823 1.14631i
\(712\) 990047. 5.61484e6i 0.0731907 0.415085i
\(713\) 5.39936e6 3.06213e7i 0.397758 2.25579i
\(714\) 1.39952e6 + 2.42405e6i 0.102739 + 0.177949i
\(715\) −354974. + 614833.i −0.0259676 + 0.0449772i
\(716\) 2.40400e6 + 2.01720e6i 0.175248 + 0.147050i
\(717\) −1.51880e7 5.52799e6i −1.10332 0.401577i
\(718\) −4.52314e6 + 1.64629e6i −0.327438 + 0.119178i
\(719\) 4.52917e6 3.80042e6i 0.326735 0.274163i −0.464633 0.885503i \(-0.653814\pi\)
0.791368 + 0.611340i \(0.209369\pi\)
\(720\) −351387. 1.99281e6i −0.0252612 0.143264i
\(721\) −1.83380e7 −1.31376
\(722\) −7.35529e6 6.63300e6i −0.525118 0.473551i
\(723\) 1.80149e7 1.28170
\(724\) 877201. + 4.97485e6i 0.0621946 + 0.352723i
\(725\) −1.18427e7 + 9.93722e6i −0.836771 + 0.702134i
\(726\) 1.51899e7 5.52868e6i 1.06958 0.389296i
\(727\) 4.43743e6 + 1.61509e6i 0.311383 + 0.113334i 0.492985 0.870038i \(-0.335906\pi\)
−0.181601 + 0.983372i \(0.558128\pi\)
\(728\) −3.23435e6 2.71394e6i −0.226182 0.189789i
\(729\) 1.07667e7 1.86485e7i 0.750352 1.29965i
\(730\) −280810. 486376.i −0.0195032 0.0337804i
\(731\) 196046. 1.11183e6i 0.0135695 0.0769566i
\(732\) −3.18390e6 + 1.80568e7i −0.219625 + 1.24555i
\(733\) 70021.3 + 121280.i 0.00481360 + 0.00833741i 0.868422 0.495826i \(-0.165134\pi\)
−0.863609 + 0.504163i \(0.831801\pi\)
\(734\) 9.17777e6 1.58964e7i 0.628778 1.08908i
\(735\) 696154. + 584142.i 0.0475321 + 0.0398841i
\(736\) −3.96235e6 1.44218e6i −0.269624 0.0981350i
\(737\) 4.35312e6 1.58441e6i 0.295211 0.107448i
\(738\) −2.67231e7 + 2.24234e7i −1.80612 + 1.51551i
\(739\) 1.10068e6 + 6.24227e6i 0.0741396 + 0.420466i 0.999176 + 0.0405879i \(0.0129231\pi\)
−0.925036 + 0.379878i \(0.875966\pi\)
\(740\) −1.80575e6 −0.121221
\(741\) 7.16354e6 + 2.08305e7i 0.479272 + 1.39365i
\(742\) 1.68255e6 0.112191
\(743\) 893625. + 5.06800e6i 0.0593859 + 0.336794i 0.999996 0.00269357i \(-0.000857391\pi\)
−0.940610 + 0.339488i \(0.889746\pi\)
\(744\) 9.59106e6 8.04785e6i 0.635235 0.533025i
\(745\) −7.94071e6 + 2.89018e6i −0.524166 + 0.190781i
\(746\) 1.83792e7 + 6.68949e6i 1.20915 + 0.440094i
\(747\) −1.17280e7 9.84095e6i −0.768992 0.645261i
\(748\) 125969. 218184.i 0.00823206 0.0142583i
\(749\) 3.33134e6 + 5.77005e6i 0.216978 + 0.375816i
\(750\) 1.96297e6 1.11326e7i 0.127427 0.722673i
\(751\) −3.98311e6 + 2.25894e7i −0.257705 + 1.46152i 0.531328 + 0.847166i \(0.321693\pi\)
−0.789033 + 0.614351i \(0.789418\pi\)
\(752\) −672806. 1.16533e6i −0.0433856 0.0751460i
\(753\) −1.37158e6 + 2.37565e6i −0.0881525 + 0.152685i
\(754\) 9.19317e6 + 7.71399e6i 0.588894 + 0.494141i
\(755\) −5.37371e6 1.95587e6i −0.343089 0.124874i
\(756\) 8.80799e6 3.20585e6i 0.560496 0.204004i
\(757\) −2.02236e6 + 1.69696e6i −0.128268 + 0.107630i −0.704665 0.709540i \(-0.748903\pi\)
0.576397 + 0.817170i \(0.304458\pi\)
\(758\) 3.15901e6 + 1.79157e7i 0.199700 + 1.13256i
\(759\) −7.59340e6 −0.478445
\(760\) 1.62630e6 900653.i 0.102133 0.0565618i
\(761\) −2.07364e7 −1.29799 −0.648997 0.760791i \(-0.724811\pi\)
−0.648997 + 0.760791i \(0.724811\pi\)
\(762\) −4.41615e6 2.50452e7i −0.275522 1.56256i
\(763\) 450193. 377757.i 0.0279954 0.0234910i
\(764\) 7.35572e6 2.67726e6i 0.455924 0.165943i
\(765\) 1.64321e6 + 598078.i 0.101517 + 0.0369491i
\(766\) 4.45513e6 + 3.73830e6i 0.274339 + 0.230198i
\(767\) −1.41372e7 + 2.44864e7i −0.867713 + 1.50292i
\(768\) −848941. 1.47041e6i