Properties

Label 38.6.e.b.25.2
Level $38$
Weight $6$
Character 38.25
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 25.2
Character \(\chi\) \(=\) 38.25
Dual form 38.6.e.b.35.2

$q$-expansion

\(f(q)\) \(=\) \(q+(3.06418 - 2.57115i) q^{2} +(-10.3802 - 3.77808i) q^{3} +(2.77837 - 15.7569i) q^{4} +(-9.06643 - 51.4183i) q^{5} +(-41.5207 + 15.1123i) q^{6} +(-107.823 + 186.754i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-92.6745 - 77.7631i) q^{9} +O(q^{10})\) \(q+(3.06418 - 2.57115i) q^{2} +(-10.3802 - 3.77808i) q^{3} +(2.77837 - 15.7569i) q^{4} +(-9.06643 - 51.4183i) q^{5} +(-41.5207 + 15.1123i) q^{6} +(-107.823 + 186.754i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-92.6745 - 77.7631i) q^{9} +(-159.985 - 134.244i) q^{10} +(-273.445 - 473.620i) q^{11} +(-88.3709 + 153.063i) q^{12} +(-242.293 + 88.1874i) q^{13} +(149.786 + 849.477i) q^{14} +(-100.151 + 567.985i) q^{15} +(-240.561 - 87.5572i) q^{16} +(1451.68 - 1218.11i) q^{17} -483.912 q^{18} +(-61.8077 + 1572.35i) q^{19} -835.384 q^{20} +(1824.79 - 1531.18i) q^{21} +(-2055.63 - 748.189i) q^{22} +(387.696 - 2198.73i) q^{23} +(122.764 + 696.226i) q^{24} +(374.898 - 136.452i) q^{25} +(-515.685 + 893.193i) q^{26} +(2010.32 + 3481.97i) q^{27} +(2643.10 + 2217.83i) q^{28} +(-2744.42 - 2302.84i) q^{29} +(1153.49 + 1997.91i) q^{30} +(4221.89 - 7312.54i) q^{31} +(-962.245 + 350.229i) q^{32} +(1049.03 + 5949.36i) q^{33} +(1316.28 - 7465.00i) q^{34} +(10580.2 + 3850.86i) q^{35} +(-1482.79 + 1244.21i) q^{36} -3258.91 q^{37} +(3853.35 + 4976.87i) q^{38} +2848.22 q^{39} +(-2559.77 + 2147.90i) q^{40} +(-8419.78 - 3064.55i) q^{41} +(1654.59 - 9383.62i) q^{42} +(3131.84 + 17761.6i) q^{43} +(-8222.52 + 2992.75i) q^{44} +(-3158.22 + 5470.20i) q^{45} +(-4465.30 - 7734.13i) q^{46} +(-15539.1 - 13038.9i) q^{47} +(2166.27 + 1817.72i) q^{48} +(-14847.9 - 25717.4i) q^{49} +(797.917 - 1382.03i) q^{50} +(-19670.9 + 7159.60i) q^{51} +(716.383 + 4062.81i) q^{52} +(623.877 - 3538.18i) q^{53} +(15112.6 + 5500.55i) q^{54} +(-21873.6 + 18354.1i) q^{55} +13801.3 q^{56} +(6582.03 - 16087.7i) q^{57} -14330.3 q^{58} +(-2351.74 + 1973.34i) q^{59} +(8671.44 + 3156.15i) q^{60} +(-1002.59 + 5685.96i) q^{61} +(-5864.99 - 33262.0i) q^{62} +(24515.0 - 8922.74i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(6731.18 + 11658.7i) q^{65} +(18511.1 + 15532.7i) q^{66} +(29630.1 + 24862.6i) q^{67} +(-15160.3 - 26258.4i) q^{68} +(-12331.3 + 21358.5i) q^{69} +(42320.6 - 15403.4i) q^{70} +(7395.34 + 41941.1i) q^{71} +(-1344.49 + 7624.96i) q^{72} +(-41684.2 - 15171.8i) q^{73} +(-9985.89 + 8379.15i) q^{74} -4407.04 q^{75} +(24603.6 + 5342.47i) q^{76} +117934. q^{77} +(8727.46 - 7323.21i) q^{78} +(-10378.5 - 3777.46i) q^{79} +(-2321.01 + 13163.1i) q^{80} +(-2607.45 - 14787.6i) q^{81} +(-33679.1 + 12258.2i) q^{82} +(10760.8 - 18638.3i) q^{83} +(-19056.8 - 33007.3i) q^{84} +(-75794.6 - 63599.3i) q^{85} +(55264.2 + 46372.1i) q^{86} +(19787.2 + 34272.5i) q^{87} +(-17500.5 + 30311.7i) q^{88} +(57745.6 - 21017.7i) q^{89} +(4387.36 + 24881.9i) q^{90} +(9655.28 - 54757.8i) q^{91} +(-33568.1 - 12217.8i) q^{92} +(-71451.3 + 59954.8i) q^{93} -81139.5 q^{94} +(81407.8 - 11077.5i) q^{95} +11311.5 q^{96} +(120513. - 101122. i) q^{97} +(-111620. - 40626.4i) q^{98} +(-11488.8 + 65156.4i) 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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.06418 2.57115i 0.541675 0.454519i
\(3\) −10.3802 3.77808i −0.665889 0.242364i −0.0131121 0.999914i \(-0.504174\pi\)
−0.652777 + 0.757550i \(0.726396\pi\)
\(4\) 2.77837 15.7569i 0.0868241 0.492404i
\(5\) −9.06643 51.4183i −0.162185 0.919798i −0.951919 0.306349i \(-0.900893\pi\)
0.789734 0.613449i \(-0.210219\pi\)
\(6\) −41.5207 + 15.1123i −0.470855 + 0.171377i
\(7\) −107.823 + 186.754i −0.831697 + 1.44054i 0.0649954 + 0.997886i \(0.479297\pi\)
−0.896692 + 0.442655i \(0.854037\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) −92.6745 77.7631i −0.381377 0.320013i
\(10\) −159.985 134.244i −0.505918 0.424516i
\(11\) −273.445 473.620i −0.681377 1.18018i −0.974561 0.224124i \(-0.928048\pi\)
0.293183 0.956056i \(-0.405285\pi\)
\(12\) −88.3709 + 153.063i −0.177156 + 0.306843i
\(13\) −242.293 + 88.1874i −0.397633 + 0.144727i −0.533094 0.846056i \(-0.678971\pi\)
0.135461 + 0.990783i \(0.456748\pi\)
\(14\) 149.786 + 849.477i 0.204244 + 1.15833i
\(15\) −100.151 + 567.985i −0.114928 + 0.651791i
\(16\) −240.561 87.5572i −0.234923 0.0855050i
\(17\) 1451.68 1218.11i 1.21829 1.02226i 0.219375 0.975641i \(-0.429598\pi\)
0.998912 0.0466244i \(-0.0148464\pi\)
\(18\) −483.912 −0.352034
\(19\) −61.8077 + 1572.35i −0.0392788 + 0.999228i
\(20\) −835.384 −0.466994
\(21\) 1824.79 1531.18i 0.902952 0.757667i
\(22\) −2055.63 748.189i −0.905500 0.329575i
\(23\) 387.696 2198.73i 0.152817 0.866668i −0.807938 0.589268i \(-0.799416\pi\)
0.960755 0.277400i \(-0.0894727\pi\)
\(24\) 122.764 + 696.226i 0.0435052 + 0.246730i
\(25\) 374.898 136.452i 0.119967 0.0436646i
\(26\) −515.685 + 893.193i −0.149607 + 0.259127i
\(27\) 2010.32 + 3481.97i 0.530707 + 0.919211i
\(28\) 2643.10 + 2217.83i 0.637117 + 0.534604i
\(29\) −2744.42 2302.84i −0.605976 0.508474i 0.287385 0.957815i \(-0.407214\pi\)
−0.893360 + 0.449341i \(0.851659\pi\)
\(30\) 1153.49 + 1997.91i 0.233998 + 0.405296i
\(31\) 4221.89 7312.54i 0.789047 1.36667i −0.137504 0.990501i \(-0.543908\pi\)
0.926551 0.376169i \(-0.122759\pi\)
\(32\) −962.245 + 350.229i −0.166116 + 0.0604612i
\(33\) 1049.03 + 5949.36i 0.167689 + 0.951010i
\(34\) 1316.28 7465.00i 0.195277 1.10747i
\(35\) 10580.2 + 3850.86i 1.45990 + 0.531359i
\(36\) −1482.79 + 1244.21i −0.190688 + 0.160006i
\(37\) −3258.91 −0.391353 −0.195676 0.980669i \(-0.562690\pi\)
−0.195676 + 0.980669i \(0.562690\pi\)
\(38\) 3853.35 + 4976.87i 0.432892 + 0.559110i
\(39\) 2848.22 0.299856
\(40\) −2559.77 + 2147.90i −0.252959 + 0.212258i
\(41\) −8419.78 3064.55i −0.782242 0.284713i −0.0801350 0.996784i \(-0.525535\pi\)
−0.702107 + 0.712071i \(0.747757\pi\)
\(42\) 1654.59 9383.62i 0.144733 0.820819i
\(43\) 3131.84 + 17761.6i 0.258303 + 1.46491i 0.787451 + 0.616378i \(0.211400\pi\)
−0.529148 + 0.848529i \(0.677488\pi\)
\(44\) −8222.52 + 2992.75i −0.640285 + 0.233045i
\(45\) −3158.22 + 5470.20i −0.232494 + 0.402691i
\(46\) −4465.30 7734.13i −0.311140 0.538911i
\(47\) −15539.1 13038.9i −1.02608 0.860985i −0.0357021 0.999362i \(-0.511367\pi\)
−0.990380 + 0.138378i \(0.955811\pi\)
\(48\) 2166.27 + 1817.72i 0.135709 + 0.113874i
\(49\) −14847.9 25717.4i −0.883438 1.53016i
\(50\) 797.917 1382.03i 0.0451370 0.0781795i
\(51\) −19670.9 + 7159.60i −1.05900 + 0.385446i
\(52\) 716.383 + 4062.81i 0.0367398 + 0.208362i
\(53\) 623.877 3538.18i 0.0305077 0.173018i −0.965747 0.259486i \(-0.916447\pi\)
0.996255 + 0.0864681i \(0.0275581\pi\)
\(54\) 15112.6 + 5500.55i 0.705270 + 0.256697i
\(55\) −21873.6 + 18354.1i −0.975019 + 0.818138i
\(56\) 13801.3 0.588098
\(57\) 6582.03 16087.7i 0.268332 0.655855i
\(58\) −14330.3 −0.559353
\(59\) −2351.74 + 1973.34i −0.0879547 + 0.0738028i −0.685705 0.727880i \(-0.740506\pi\)
0.597750 + 0.801682i \(0.296061\pi\)
\(60\) 8671.44 + 3156.15i 0.310966 + 0.113182i
\(61\) −1002.59 + 5685.96i −0.0344983 + 0.195650i −0.997186 0.0749644i \(-0.976116\pi\)
0.962688 + 0.270614i \(0.0872268\pi\)
\(62\) −5864.99 33262.0i −0.193771 1.09893i
\(63\) 24515.0 8922.74i 0.778181 0.283235i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) 6731.18 + 11658.7i 0.197609 + 0.342270i
\(66\) 18511.1 + 15532.7i 0.523085 + 0.438921i
\(67\) 29630.1 + 24862.6i 0.806391 + 0.676642i 0.949743 0.313029i \(-0.101344\pi\)
−0.143352 + 0.989672i \(0.545788\pi\)
\(68\) −15160.3 26258.4i −0.397590 0.688647i
\(69\) −12331.3 + 21358.5i −0.311808 + 0.540067i
\(70\) 42320.6 15403.4i 1.03230 0.375727i
\(71\) 7395.34 + 41941.1i 0.174105 + 0.987401i 0.939171 + 0.343449i \(0.111595\pi\)
−0.765066 + 0.643952i \(0.777294\pi\)
\(72\) −1344.49 + 7624.96i −0.0305651 + 0.173343i
\(73\) −41684.2 15171.8i −0.915513 0.333219i −0.159061 0.987269i \(-0.550847\pi\)
−0.756452 + 0.654049i \(0.773069\pi\)
\(74\) −9985.89 + 8379.15i −0.211986 + 0.177877i
\(75\) −4407.04 −0.0904677
\(76\) 24603.6 + 5342.47i 0.488614 + 0.106098i
\(77\) 117934. 2.26680
\(78\) 8727.46 7323.21i 0.162424 0.136290i
\(79\) −10378.5 3777.46i −0.187097 0.0680976i 0.246773 0.969073i \(-0.420630\pi\)
−0.433869 + 0.900976i \(0.642852\pi\)
\(80\) −2321.01 + 13163.1i −0.0405463 + 0.229950i
\(81\) −2607.45 14787.6i −0.0441573 0.250429i
\(82\) −33679.1 + 12258.2i −0.553129 + 0.201322i
\(83\) 10760.8 18638.3i 0.171455 0.296969i −0.767474 0.641080i \(-0.778487\pi\)
0.938929 + 0.344112i \(0.111820\pi\)
\(84\) −19056.8 33007.3i −0.294680 0.510401i
\(85\) −75794.6 63599.3i −1.13787 0.954783i
\(86\) 55264.2 + 46372.1i 0.805745 + 0.676100i
\(87\) 19787.2 + 34272.5i 0.280277 + 0.485454i
\(88\) −17500.5 + 30311.7i −0.240903 + 0.417257i
\(89\) 57745.6 21017.7i 0.772759 0.281261i 0.0746089 0.997213i \(-0.476229\pi\)
0.698150 + 0.715952i \(0.254007\pi\)
\(90\) 4387.36 + 24881.9i 0.0570948 + 0.323801i
\(91\) 9655.28 54757.8i 0.122225 0.693175i
\(92\) −33568.1 12217.8i −0.413482 0.150495i
\(93\) −71451.3 + 59954.8i −0.856649 + 0.718814i
\(94\) −81139.5 −0.947137
\(95\) 81407.8 11077.5i 0.925459 0.125932i
\(96\) 11311.5 0.125268
\(97\) 120513. 101122.i 1.30048 1.09123i 0.310416 0.950601i \(-0.399532\pi\)
0.990062 0.140630i \(-0.0449128\pi\)
\(98\) −111620. 40626.4i −1.17402 0.427310i
\(99\) −11488.8 + 65156.4i −0.117812 + 0.668143i
\(100\) −1108.45 6286.36i −0.0110845 0.0628636i
\(101\) −72411.3 + 26355.5i −0.706322 + 0.257080i −0.670108 0.742264i \(-0.733752\pi\)
−0.0362143 + 0.999344i \(0.511530\pi\)
\(102\) −41866.6 + 72515.0i −0.398444 + 0.690125i
\(103\) −66453.7 115101.i −0.617200 1.06902i −0.989994 0.141108i \(-0.954933\pi\)
0.372794 0.927914i \(-0.378400\pi\)
\(104\) 12641.2 + 10607.2i 0.114605 + 0.0961654i
\(105\) −95275.1 79945.3i −0.843347 0.707652i
\(106\) −7185.53 12445.7i −0.0621146 0.107586i
\(107\) −56112.7 + 97190.1i −0.473808 + 0.820659i −0.999550 0.0299849i \(-0.990454\pi\)
0.525743 + 0.850644i \(0.323787\pi\)
\(108\) 60450.5 22002.2i 0.498701 0.181512i
\(109\) −10542.4 59789.1i −0.0849914 0.482010i −0.997358 0.0726369i \(-0.976859\pi\)
0.912367 0.409373i \(-0.134253\pi\)
\(110\) −19833.3 + 112480.i −0.156284 + 0.886330i
\(111\) 33828.1 + 12312.4i 0.260597 + 0.0948497i
\(112\) 42289.6 35485.2i 0.318558 0.267302i
\(113\) 44583.9 0.328459 0.164230 0.986422i \(-0.447486\pi\)
0.164230 + 0.986422i \(0.447486\pi\)
\(114\) −21195.5 66219.1i −0.152750 0.477223i
\(115\) −116570. −0.821944
\(116\) −43910.7 + 36845.4i −0.302988 + 0.254237i
\(117\) 29312.1 + 10668.7i 0.197962 + 0.0720524i
\(118\) −2132.38 + 12093.4i −0.0140981 + 0.0799543i
\(119\) 70962.4 + 402448.i 0.459368 + 2.60521i
\(120\) 34685.8 12624.6i 0.219886 0.0800320i
\(121\) −69018.4 + 119543.i −0.428550 + 0.742270i
\(122\) 11547.4 + 20000.6i 0.0702397 + 0.121659i
\(123\) 75820.8 + 63621.2i 0.451882 + 0.379174i
\(124\) −103493. 86841.0i −0.604445 0.507190i
\(125\) −91995.6 159341.i −0.526613 0.912121i
\(126\) 52176.7 90372.6i 0.292786 0.507120i
\(127\) 288101. 104860.i 1.58502 0.576900i 0.608732 0.793376i \(-0.291678\pi\)
0.976288 + 0.216475i \(0.0694561\pi\)
\(128\) 2845.05 + 16135.1i 0.0153485 + 0.0870455i
\(129\) 34595.5 196201.i 0.183039 1.03807i
\(130\) 50601.9 + 18417.6i 0.262608 + 0.0955816i
\(131\) 15292.6 12832.0i 0.0778579 0.0653305i −0.603028 0.797720i \(-0.706039\pi\)
0.680886 + 0.732389i \(0.261595\pi\)
\(132\) 96658.1 0.482840
\(133\) −286979. 181078.i −1.40676 0.887637i
\(134\) 154717. 0.744349
\(135\) 160811. 134936.i 0.759416 0.637226i
\(136\) −113968. 41481.1i −0.528368 0.192310i
\(137\) 25170.1 142747.i 0.114573 0.649777i −0.872387 0.488815i \(-0.837429\pi\)
0.986961 0.160962i \(-0.0514596\pi\)
\(138\) 17130.5 + 97151.9i 0.0765724 + 0.434264i
\(139\) −86029.8 + 31312.3i −0.377669 + 0.137460i −0.523878 0.851793i \(-0.675515\pi\)
0.146208 + 0.989254i \(0.453293\pi\)
\(140\) 90073.3 156012.i 0.388397 0.672724i
\(141\) 112037. + 194054.i 0.474585 + 0.822005i
\(142\) 130497. + 109500.i 0.543102 + 0.455716i
\(143\) 108021. + 90640.4i 0.441741 + 0.370665i
\(144\) 15485.2 + 26821.1i 0.0622315 + 0.107788i
\(145\) −93526.0 + 161992.i −0.369413 + 0.639842i
\(146\) −166737. + 60687.3i −0.647365 + 0.235622i
\(147\) 56962.1 + 323048.i 0.217416 + 1.23303i
\(148\) −9054.47 + 51350.4i −0.0339788 + 0.192704i
\(149\) 244159. + 88866.7i 0.900964 + 0.327924i 0.750639 0.660712i \(-0.229746\pi\)
0.150325 + 0.988637i \(0.451968\pi\)
\(150\) −13503.9 + 11331.2i −0.0490041 + 0.0411193i
\(151\) −172996. −0.617438 −0.308719 0.951153i \(-0.599900\pi\)
−0.308719 + 0.951153i \(0.599900\pi\)
\(152\) 89126.2 46889.4i 0.312894 0.164614i
\(153\) −229258. −0.791764
\(154\) 361371. 303226.i 1.22787 1.03030i
\(155\) −414276. 150784.i −1.38503 0.504111i
\(156\) 7913.42 44879.2i 0.0260347 0.147650i
\(157\) 5642.77 + 32001.8i 0.0182702 + 0.103616i 0.992579 0.121600i \(-0.0388025\pi\)
−0.974309 + 0.225215i \(0.927691\pi\)
\(158\) −41513.9 + 15109.8i −0.132297 + 0.0481522i
\(159\) −19843.5 + 34369.9i −0.0622479 + 0.107817i
\(160\) 26732.3 + 46301.7i 0.0825536 + 0.142987i
\(161\) 368820. + 309477.i 1.12137 + 0.940944i
\(162\) −46010.7 38607.6i −0.137744 0.115581i
\(163\) −111277. 192737.i −0.328047 0.568194i 0.654077 0.756428i \(-0.273057\pi\)
−0.982124 + 0.188234i \(0.939724\pi\)
\(164\) −71681.2 + 124155.i −0.208111 + 0.360459i
\(165\) 296395. 107879.i 0.847541 0.308480i
\(166\) −14948.8 84778.7i −0.0421051 0.238790i
\(167\) 69772.9 395702.i 0.193596 1.09794i −0.720809 0.693134i \(-0.756230\pi\)
0.914405 0.404801i \(-0.132659\pi\)
\(168\) −143260. 52142.4i −0.391608 0.142534i
\(169\) −233498. + 195928.i −0.628878 + 0.527692i
\(170\) −395771. −1.05032
\(171\) 127999. 140910.i 0.334746 0.368513i
\(172\) 288569. 0.743753
\(173\) −222142. + 186400.i −0.564308 + 0.473511i −0.879752 0.475434i \(-0.842291\pi\)
0.315444 + 0.948944i \(0.397847\pi\)
\(174\) 148751. + 54141.1i 0.372467 + 0.135567i
\(175\) −14939.6 + 84726.4i −0.0368759 + 0.209134i
\(176\) 24311.4 + 137877.i 0.0591600 + 0.335513i
\(177\) 31866.9 11598.6i 0.0764552 0.0278274i
\(178\) 122903. 212875.i 0.290746 0.503586i
\(179\) 154078. + 266872.i 0.359426 + 0.622544i 0.987865 0.155315i \(-0.0496392\pi\)
−0.628439 + 0.777859i \(0.716306\pi\)
\(180\) 77418.8 + 64962.1i 0.178101 + 0.149444i
\(181\) −100141. 84028.1i −0.227203 0.190646i 0.522079 0.852897i \(-0.325157\pi\)
−0.749282 + 0.662251i \(0.769601\pi\)
\(182\) −111205. 192613.i −0.248855 0.431029i
\(183\) 31889.1 55233.5i 0.0703905 0.121920i
\(184\) −134272. + 48871.1i −0.292376 + 0.106416i
\(185\) 29546.7 + 167568.i 0.0634717 + 0.359966i
\(186\) −64786.8 + 367424.i −0.137311 + 0.778728i
\(187\) −973876. 354462.i −2.03657 0.741251i
\(188\) −248626. + 208622.i −0.513041 + 0.430492i
\(189\) −867030. −1.76555
\(190\) 220966. 243255.i 0.444060 0.488853i
\(191\) −828301. −1.64288 −0.821438 0.570297i \(-0.806828\pi\)
−0.821438 + 0.570297i \(0.806828\pi\)
\(192\) 34660.4 29083.5i 0.0678547 0.0569369i
\(193\) 702710. + 255765.i 1.35795 + 0.494252i 0.915419 0.402503i \(-0.131860\pi\)
0.442528 + 0.896755i \(0.354082\pi\)
\(194\) 109272. 619712.i 0.208451 1.18219i
\(195\) −25823.2 146451.i −0.0486322 0.275807i
\(196\) −446480. + 162506.i −0.830160 + 0.302154i
\(197\) 358327. 620640.i 0.657830 1.13939i −0.323346 0.946281i \(-0.604808\pi\)
0.981176 0.193114i \(-0.0618588\pi\)
\(198\) 132323. + 229190.i 0.239868 + 0.415464i
\(199\) 196686. + 165040.i 0.352080 + 0.295430i 0.801625 0.597827i \(-0.203969\pi\)
−0.449544 + 0.893258i \(0.648414\pi\)
\(200\) −19559.7 16412.5i −0.0345769 0.0290135i
\(201\) −213633. 370023.i −0.372973 0.646009i
\(202\) −154117. + 266938.i −0.265749 + 0.460291i
\(203\) 725976. 264233.i 1.23647 0.450037i
\(204\) 58160.4 + 329844.i 0.0978480 + 0.554924i
\(205\) −81236.6 + 460716.i −0.135010 + 0.765682i
\(206\) −499568. 181828.i −0.820214 0.298533i
\(207\) −206910. + 173618.i −0.335626 + 0.281623i
\(208\) 66007.7 0.105788
\(209\) 761596. 400677.i 1.20603 0.634495i
\(210\) −497491. −0.778461
\(211\) 230240. 193194.i 0.356020 0.298736i −0.447182 0.894443i \(-0.647572\pi\)
0.803202 + 0.595707i \(0.203128\pi\)
\(212\) −54017.5 19660.8i −0.0825458 0.0300442i
\(213\) 81691.6 463296.i 0.123375 0.699696i
\(214\) 77951.0 + 442082.i 0.116356 + 0.659885i
\(215\) 884875. 322068.i 1.30553 0.475173i
\(216\) 128660. 222846.i 0.187633 0.324990i
\(217\) 910432. + 1.57691e6i 1.31250 + 2.27331i
\(218\) −186031. 156098.i −0.265121 0.222463i
\(219\) 375369. + 314972.i 0.528870 + 0.443774i
\(220\) 228431. + 395655.i 0.318199 + 0.551137i
\(221\) −244311. + 423159.i −0.336482 + 0.582805i
\(222\) 135312. 49249.7i 0.184270 0.0670689i
\(223\) −194457. 1.10282e6i −0.261856 1.48506i −0.777841 0.628461i \(-0.783685\pi\)
0.515986 0.856597i \(-0.327426\pi\)
\(224\) 38345.1 217466.i 0.0510611 0.289582i
\(225\) −45354.4 16507.7i −0.0597260 0.0217385i
\(226\) 136613. 114632.i 0.177918 0.149291i
\(227\) 1.42711e6 1.83820 0.919099 0.394026i \(-0.128918\pi\)
0.919099 + 0.394026i \(0.128918\pi\)
\(228\) −235206. 148410.i −0.299648 0.189072i
\(229\) 843458. 1.06286 0.531428 0.847103i \(-0.321656\pi\)
0.531428 + 0.847103i \(0.321656\pi\)
\(230\) −357191. + 299719.i −0.445227 + 0.373590i
\(231\) −1.22418e6 445564.i −1.50943 0.549389i
\(232\) −39815.0 + 225802.i −0.0485653 + 0.275428i
\(233\) 83713.3 + 474762.i 0.101019 + 0.572910i 0.992736 + 0.120315i \(0.0383904\pi\)
−0.891716 + 0.452595i \(0.850498\pi\)
\(234\) 117248. 42674.9i 0.139980 0.0509487i
\(235\) −529552. + 917211.i −0.625517 + 1.08343i
\(236\) 24559.8 + 42538.9i 0.0287042 + 0.0497171i
\(237\) 93458.9 + 78421.3i 0.108081 + 0.0906908i
\(238\) 1.25220e6 + 1.05072e6i 1.43295 + 1.20238i
\(239\) −357944. 619977.i −0.405341 0.702071i 0.589020 0.808118i \(-0.299514\pi\)
−0.994361 + 0.106047i \(0.966180\pi\)
\(240\) 73823.6 127866.i 0.0827308 0.143294i
\(241\) 1.49099e6 542677.i 1.65361 0.601864i 0.664269 0.747493i \(-0.268743\pi\)
0.989339 + 0.145629i \(0.0465206\pi\)
\(242\) 95879.4 + 543759.i 0.105241 + 0.596854i
\(243\) 140854. 798822.i 0.153022 0.867829i
\(244\) 86807.7 + 31595.4i 0.0933434 + 0.0339742i
\(245\) −1.18773e6 + 996621.i −1.26416 + 1.06075i
\(246\) 395908. 0.417116
\(247\) −123686. 386419.i −0.128996 0.403011i
\(248\) −540402. −0.557941
\(249\) −182116. + 152814.i −0.186144 + 0.156194i
\(250\) −691581. 251715.i −0.699830 0.254717i
\(251\) 48780.5 276648.i 0.0488722 0.277168i −0.950572 0.310504i \(-0.899502\pi\)
0.999444 + 0.0333363i \(0.0106132\pi\)
\(252\) −72483.1 411072.i −0.0719010 0.407771i
\(253\) −1.14738e6 + 417611.i −1.12695 + 0.410176i
\(254\) 613180. 1.06206e6i 0.596354 1.03292i
\(255\) 546479. + 946530.i 0.526288 + 0.911557i
\(256\) 50203.5 + 42125.7i 0.0478778 + 0.0401742i
\(257\) −1.45513e6 1.22100e6i −1.37426 1.15314i −0.971282 0.237933i \(-0.923530\pi\)
−0.402979 0.915209i \(-0.632025\pi\)
\(258\) −398455. 690144.i −0.372674 0.645491i
\(259\) 351385. 608616.i 0.325487 0.563760i
\(260\) 202408. 73670.4i 0.185692 0.0675864i
\(261\) 75261.5 + 426829.i 0.0683867 + 0.387840i
\(262\) 13866.2 78639.0i 0.0124797 0.0707758i
\(263\) −1.62751e6 592364.i −1.45089 0.528079i −0.508047 0.861329i \(-0.669632\pi\)
−0.942838 + 0.333250i \(0.891855\pi\)
\(264\) 296178. 248523.i 0.261543 0.219460i
\(265\) −187584. −0.164089
\(266\) −1.34493e6 + 183011.i −1.16546 + 0.158589i
\(267\) −678816. −0.582739
\(268\) 474081. 397801.i 0.403196 0.338321i
\(269\) −540547. 196743.i −0.455463 0.165775i 0.104093 0.994568i \(-0.466806\pi\)
−0.559556 + 0.828793i \(0.689028\pi\)
\(270\) 145811. 826936.i 0.121725 0.690339i
\(271\) 297272. + 1.68591e6i 0.245884 + 1.39448i 0.818431 + 0.574605i \(0.194844\pi\)
−0.572546 + 0.819872i \(0.694044\pi\)
\(272\) −455873. + 165924.i −0.373613 + 0.135984i
\(273\) −307103. + 531918.i −0.249389 + 0.431954i
\(274\) −289897. 502117.i −0.233275 0.404044i
\(275\) −167140. 140247.i −0.133275 0.111831i
\(276\) 302283. + 253646.i 0.238859 + 0.200426i
\(277\) 1.19075e6 + 2.06244e6i 0.932442 + 1.61504i 0.779133 + 0.626859i \(0.215660\pi\)
0.153310 + 0.988178i \(0.451007\pi\)
\(278\) −183102. + 317142.i −0.142096 + 0.246117i
\(279\) −959908. + 349378.i −0.738276 + 0.268711i
\(280\) −125129. 709639.i −0.0953809 0.540932i
\(281\) −161383. + 915250.i −0.121925 + 0.691471i 0.861162 + 0.508331i \(0.169737\pi\)
−0.983087 + 0.183140i \(0.941374\pi\)
\(282\) 842243. + 306551.i 0.630688 + 0.229552i
\(283\) 246547. 206878.i 0.182993 0.153549i −0.546690 0.837335i \(-0.684112\pi\)
0.729683 + 0.683786i \(0.239668\pi\)
\(284\) 681409. 0.501317
\(285\) −886880. 192578.i −0.646774 0.140441i
\(286\) 564046. 0.407755
\(287\) 1.48016e6 1.24200e6i 1.06073 0.890057i
\(288\) 116410. + 42370.0i 0.0827010 + 0.0301007i
\(289\) 377045. 2.13833e6i 0.265552 1.50602i
\(290\) 129925. + 736841.i 0.0907189 + 0.514492i
\(291\) −1.63299e6 + 594360.i −1.13045 + 0.411450i
\(292\) −354875. + 614662.i −0.243567 + 0.421871i
\(293\) 143607. + 248734.i 0.0977250 + 0.169265i 0.910743 0.412974i \(-0.135510\pi\)
−0.813018 + 0.582239i \(0.802177\pi\)
\(294\) 1.00515e6 + 843418.i 0.678205 + 0.569082i
\(295\) 122788. + 103031.i 0.0821487 + 0.0689309i
\(296\) 104285. + 180627.i 0.0691820 + 0.119827i
\(297\) 1.09942e6 1.90425e6i 0.723223 1.25266i
\(298\) 976637. 355467.i 0.637078 0.231877i
\(299\) 99964.5 + 566927.i 0.0646648 + 0.366732i
\(300\) −12244.4 + 69441.3i −0.00785477 + 0.0445466i
\(301\) −3.65473e6 1.33021e6i −2.32509 0.846263i
\(302\) −530090. + 444798.i −0.334451 + 0.280638i
\(303\) 851215. 0.532639
\(304\) 152539. 372834.i 0.0946666 0.231383i
\(305\) 301452. 0.185554
\(306\) −702487. + 589457.i −0.428879 + 0.359872i
\(307\) 67079.1 + 24414.8i 0.0406201 + 0.0147845i 0.362250 0.932081i \(-0.382009\pi\)
−0.321630 + 0.946865i \(0.604231\pi\)
\(308\) 327665. 1.85828e6i 0.196813 1.11618i
\(309\) 254940. + 1.44584e6i 0.151895 + 0.861437i
\(310\) −1.65710e6 + 603136.i −0.979366 + 0.356460i
\(311\) −956342. + 1.65643e6i −0.560676 + 0.971120i 0.436761 + 0.899577i \(0.356125\pi\)
−0.997438 + 0.0715424i \(0.977208\pi\)
\(312\) −91143.1 157865.i −0.0530075 0.0918117i
\(313\) 661808. + 555323.i 0.381831 + 0.320394i 0.813421 0.581676i \(-0.197603\pi\)
−0.431590 + 0.902070i \(0.642047\pi\)
\(314\) 99571.8 + 83550.7i 0.0569918 + 0.0478218i
\(315\) −681056. 1.17962e6i −0.386729 0.669833i
\(316\) −88356.3 + 153038.i −0.0497760 + 0.0862145i
\(317\) 2.34554e6 853705.i 1.31097 0.477155i 0.410419 0.911897i \(-0.365383\pi\)
0.900555 + 0.434742i \(0.143160\pi\)
\(318\) 27566.3 + 156336.i 0.0152866 + 0.0866945i
\(319\) −340225. + 1.92951e6i −0.187193 + 1.06162i
\(320\) 200961. + 73143.9i 0.109708 + 0.0399303i
\(321\) 949652. 796853.i 0.514401 0.431634i
\(322\) 1.92584e6 1.03510
\(323\) 1.82556e6 + 2.35784e6i 0.973623 + 1.25750i
\(324\) −240251. −0.127146
\(325\) −78801.8 + 66122.6i −0.0413836 + 0.0347249i
\(326\) −836528. 304471.i −0.435950 0.158673i
\(327\) −116456. + 660452.i −0.0602269 + 0.341564i
\(328\) 99578.4 + 564737.i 0.0511070 + 0.289842i
\(329\) 4.11054e6 1.49611e6i 2.09367 0.762034i
\(330\) 630833. 1.09264e6i 0.318882 0.552320i
\(331\) −614547. 1.06443e6i −0.308308 0.534006i 0.669684 0.742646i \(-0.266430\pi\)
−0.977992 + 0.208640i \(0.933096\pi\)
\(332\) −263784. 221341.i −0.131342 0.110209i
\(333\) 302018. + 253423.i 0.149253 + 0.125238i
\(334\) −803612. 1.39190e6i −0.394167 0.682717i
\(335\) 1.00975e6 1.74894e6i 0.491590 0.851459i
\(336\) −573040. + 208569.i −0.276909 + 0.100787i
\(337\) 157172. + 891365.i 0.0753876 + 0.427544i 0.999020 + 0.0442644i \(0.0140944\pi\)
−0.923632 + 0.383280i \(0.874794\pi\)
\(338\) −211719. + 1.20072e6i −0.100802 + 0.571675i
\(339\) −462789. 168441.i −0.218717 0.0796066i
\(340\) −1.21271e6 + 1.01759e6i −0.568933 + 0.477392i
\(341\) −4.61782e6 −2.15056
\(342\) 29909.5 760878.i 0.0138275 0.351763i
\(343\) 2.77943e6 1.27562
\(344\) 884227. 741954.i 0.402872 0.338050i
\(345\) 1.21002e6 + 440411.i 0.547324 + 0.199210i
\(346\) −201422. + 1.14232e6i −0.0904519 + 0.512978i
\(347\) −276396. 1.56752e6i −0.123227 0.698858i −0.982345 0.187079i \(-0.940098\pi\)
0.859117 0.511779i \(-0.171013\pi\)
\(348\) 595006. 216564.i 0.263374 0.0958603i
\(349\) 50694.6 87805.6i 0.0222791 0.0385886i −0.854671 0.519170i \(-0.826241\pi\)
0.876950 + 0.480582i \(0.159574\pi\)
\(350\) 172067. + 298029.i 0.0750805 + 0.130043i
\(351\) −794151. 666372.i −0.344061 0.288701i
\(352\) 428996. + 359970.i 0.184543 + 0.154850i
\(353\) 562313. + 973954.i 0.240182 + 0.416008i 0.960766 0.277360i \(-0.0894594\pi\)
−0.720584 + 0.693368i \(0.756126\pi\)
\(354\) 67824.2 117475.i 0.0287658 0.0498238i
\(355\) 2.08949e6 760512.i 0.879973 0.320284i
\(356\) −170735. 968288.i −0.0714000 0.404930i
\(357\) 783876. 4.44558e6i 0.325520 1.84611i
\(358\) 1.15829e6 + 421583.i 0.477650 + 0.173851i
\(359\) −2.45256e6 + 2.05794e6i −1.00435 + 0.842747i −0.987581 0.157113i \(-0.949781\pi\)
−0.0167656 + 0.999859i \(0.505337\pi\)
\(360\) 404252. 0.164398
\(361\) −2.46846e6 194366.i −0.996914 0.0784971i
\(362\) −522898. −0.209723
\(363\) 1.16807e6 980125.i 0.465266 0.390405i
\(364\) −835989. 304275.i −0.330710 0.120369i
\(365\) −402182. + 2.28089e6i −0.158012 + 0.896131i
\(366\) −44299.8 251237.i −0.0172862 0.0980348i
\(367\) 1.56576e6 569890.i 0.606820 0.220864i −0.0202912 0.999794i \(-0.506459\pi\)
0.627111 + 0.778930i \(0.284237\pi\)
\(368\) −285779. + 494984.i −0.110005 + 0.190534i
\(369\) 541990. + 938755.i 0.207217 + 0.358911i
\(370\) 521378. + 437488.i 0.197992 + 0.166135i
\(371\) 593503. + 498008.i 0.223866 + 0.187846i
\(372\) 746185. + 1.29243e6i 0.279569 + 0.484228i
\(373\) −2.03094e6 + 3.51769e6i −0.755832 + 1.30914i 0.189127 + 0.981953i \(0.439434\pi\)
−0.944960 + 0.327187i \(0.893899\pi\)
\(374\) −3.89550e6 + 1.41785e6i −1.44007 + 0.524144i
\(375\) 352928. + 2.00156e6i 0.129601 + 0.735003i
\(376\) −225436. + 1.27851e6i −0.0822343 + 0.466374i
\(377\) 868034. + 315939.i 0.314545 + 0.114485i
\(378\) −2.65673e6 + 2.22926e6i −0.956354 + 0.802476i
\(379\) 122287. 0.0437302 0.0218651 0.999761i \(-0.493040\pi\)
0.0218651 + 0.999761i \(0.493040\pi\)
\(380\) 51633.2 1.31351e6i 0.0183430 0.466634i
\(381\) −3.38671e6 −1.19527
\(382\) −2.53806e6 + 2.12969e6i −0.889906 + 0.746720i
\(383\) 1.33782e6 + 486928.i 0.466017 + 0.169616i 0.564347 0.825537i \(-0.309128\pi\)
−0.0983301 + 0.995154i \(0.531350\pi\)
\(384\) 31427.5 178234.i 0.0108763 0.0616826i
\(385\) −1.06924e6 6.06397e6i −0.367641 2.08500i
\(386\) 2.81084e6 1.02306e6i 0.960213 0.349489i
\(387\) 1.09095e6 1.88959e6i 0.370279 0.641341i
\(388\) −1.25854e6 2.17986e6i −0.424413 0.735106i
\(389\) −1.59588e6 1.33910e6i −0.534719 0.448682i 0.335008 0.942215i \(-0.391261\pi\)
−0.869727 + 0.493533i \(0.835705\pi\)
\(390\) −455674. 382356.i −0.151702 0.127293i
\(391\) −2.11548e6 3.66412e6i −0.699789 1.21207i
\(392\) −950269. + 1.64591e6i −0.312343 + 0.540993i
\(393\) −207220. + 75421.9i −0.0676784 + 0.0246329i
\(394\) −497782. 2.82306e6i −0.161547 0.916178i
\(395\) −100135. + 567891.i −0.0322917 + 0.183136i
\(396\) 994744. + 362057.i 0.318767 + 0.116022i
\(397\) 1.41209e6 1.18489e6i 0.449663 0.377312i −0.389648 0.920964i \(-0.627403\pi\)
0.839311 + 0.543652i \(0.182959\pi\)
\(398\) 1.02702e6 0.324992
\(399\) 2.29476e6 + 2.96385e6i 0.721615 + 0.932016i
\(400\) −102133. −0.0319167
\(401\) −34080.2 + 28596.7i −0.0105838 + 0.00888085i −0.648064 0.761586i \(-0.724421\pi\)
0.637480 + 0.770467i \(0.279977\pi\)
\(402\) −1.60599e6 584534.i −0.495654 0.180403i
\(403\) −378061. + 2.14409e6i −0.115958 + 0.657629i
\(404\) 214097. + 1.21420e6i 0.0652615 + 0.370116i
\(405\) −736711. + 268141.i −0.223182 + 0.0812317i
\(406\) 1.54513e6 2.67625e6i 0.465212 0.805771i
\(407\) 891132. + 1.54349e6i 0.266659 + 0.461867i
\(408\) 1.02629e6 + 861162.i 0.305226 + 0.256115i
\(409\) −537784. 451255.i −0.158964 0.133387i 0.559836 0.828603i \(-0.310864\pi\)
−0.718801 + 0.695216i \(0.755309\pi\)
\(410\) 935646. + 1.62059e6i 0.274885 + 0.476116i
\(411\) −800577. + 1.38664e6i −0.233775 + 0.404911i
\(412\) −1.99827e6 + 727312.i −0.579979 + 0.211095i
\(413\) −114960. 651969.i −0.0331643 0.188084i
\(414\) −187611. + 1.06399e6i −0.0537968 + 0.305097i
\(415\) −1.05591e6 384320.i −0.300959 0.109540i
\(416\) 202259. 169716.i 0.0573027 0.0480827i
\(417\) 1.01131e6 0.284801
\(418\) 1.30347e6 3.18592e6i 0.364888 0.891856i
\(419\) −5.55566e6 −1.54597 −0.772984 0.634425i \(-0.781237\pi\)
−0.772984 + 0.634425i \(0.781237\pi\)
\(420\) −1.52440e6 + 1.27912e6i −0.421673 + 0.353826i
\(421\) 1.98468e6 + 722364.i 0.545739 + 0.198633i 0.600152 0.799886i \(-0.295107\pi\)
−0.0544135 + 0.998518i \(0.517329\pi\)
\(422\) 208765. 1.18396e6i 0.0570658 0.323636i
\(423\) 426137. + 2.41674e6i 0.115797 + 0.656719i
\(424\) −216070. + 78643.1i −0.0583687 + 0.0212445i
\(425\) 378021. 654751.i 0.101518 0.175835i
\(426\) −940886. 1.62966e6i −0.251196 0.435085i
\(427\) −953776. 800313.i −0.253149 0.212418i
\(428\) 1.37551e6 + 1.15419e6i 0.362958 + 0.304558i
\(429\) −778831. 1.34898e6i −0.204315 0.353884i
\(430\) 1.88333e6 3.26202e6i 0.491196 0.850776i
\(431\) −497724. + 181157.i −0.129061 + 0.0469744i −0.405743 0.913987i \(-0.632987\pi\)
0.276682 + 0.960961i \(0.410765\pi\)
\(432\) −178733. 1.01364e6i −0.0460782 0.261322i
\(433\) 591076. 3.35216e6i 0.151504 0.859220i −0.810409 0.585864i \(-0.800755\pi\)
0.961913 0.273356i \(-0.0881337\pi\)
\(434\) 6.84421e6 + 2.49109e6i 1.74421 + 0.634841i
\(435\) 1.58283e6 1.32816e6i 0.401063 0.336532i
\(436\) −971384. −0.244723
\(437\) 3.43321e6 + 745491.i 0.859997 + 0.186741i
\(438\) 1.96004e6 0.488180
\(439\) 435222. 365194.i 0.107783 0.0904404i −0.587304 0.809367i \(-0.699811\pi\)
0.695086 + 0.718926i \(0.255366\pi\)
\(440\) 1.71724e6 + 625025.i 0.422863 + 0.153910i
\(441\) −623840. + 3.53797e6i −0.152748 + 0.866279i
\(442\) 339393. + 1.92480e6i 0.0826319 + 0.468629i
\(443\) −3.00104e6 + 1.09229e6i −0.726546 + 0.264441i −0.678702 0.734414i \(-0.737457\pi\)
−0.0478438 + 0.998855i \(0.515235\pi\)
\(444\) 287993. 498818.i 0.0693305 0.120084i
\(445\) −1.60424e6 2.77863e6i −0.384034 0.665166i
\(446\) −3.43137e6 2.87926e6i −0.816828 0.685400i
\(447\) −2.19867e6 1.84491e6i −0.520465 0.436722i
\(448\) −441642. 764946.i −0.103962 0.180068i
\(449\) −639853. + 1.10826e6i −0.149784 + 0.259433i −0.931147 0.364643i \(-0.881191\pi\)
0.781364 + 0.624076i \(0.214524\pi\)
\(450\) −181418. + 66030.6i −0.0422327 + 0.0153714i
\(451\) 850912. + 4.82576e6i 0.196990 + 1.11718i
\(452\) 123870. 702504.i 0.0285182 0.161735i
\(453\) 1.79573e6 + 653592.i 0.411145 + 0.149645i
\(454\) 4.37291e6 3.66931e6i 0.995706 0.835497i
\(455\) −2.90309e6 −0.657404
\(456\) −1.10230e6 + 149995.i −0.248249 + 0.0337804i
\(457\) 5.15509e6 1.15464 0.577319 0.816519i \(-0.304099\pi\)
0.577319 + 0.816519i \(0.304099\pi\)
\(458\) 2.58450e6 2.16866e6i 0.575723 0.483089i
\(459\) 7.15976e6 + 2.60594e6i 1.58623 + 0.577341i
\(460\) −323875. + 1.83679e6i −0.0713646 + 0.404729i
\(461\) −648738. 3.67918e6i −0.142173 0.806303i −0.969594 0.244720i \(-0.921304\pi\)
0.827421 0.561583i \(-0.189807\pi\)
\(462\) −4.89671e6 + 1.78226e6i −1.06733 + 0.388477i
\(463\) −3.78630e6 + 6.55806e6i −0.820848 + 1.42175i 0.0842044 + 0.996449i \(0.473165\pi\)
−0.905052 + 0.425301i \(0.860168\pi\)
\(464\) 458571. + 794267.i 0.0988806 + 0.171266i
\(465\) 3.73058e6 + 3.13033e6i 0.800100 + 0.671364i
\(466\) 1.47720e6 + 1.23952e6i 0.315118 + 0.264416i
\(467\) 4.02309e6 + 6.96820e6i 0.853626 + 1.47852i 0.877914 + 0.478819i \(0.158935\pi\)
−0.0242874 + 0.999705i \(0.507732\pi\)
\(468\) 249546. 432227.i 0.0526668 0.0912215i
\(469\) −7.83799e6 + 2.85279e6i −1.64540 + 0.598878i
\(470\) 735646. + 4.17206e6i 0.153612 + 0.871175i
\(471\) 62332.1 353503.i 0.0129467 0.0734245i
\(472\) 184630. + 67199.6i 0.0381457 + 0.0138839i
\(473\) 7.55585e6 6.34011e6i 1.55285 1.30300i
\(474\) 488008. 0.0997656
\(475\) 191378. + 597904.i 0.0389187 + 0.121590i
\(476\) 6.53850e6 1.32270
\(477\) −332958. + 279385.i −0.0670028 + 0.0562220i
\(478\) −2.69086e6 979392.i −0.538668 0.196059i
\(479\) −53782.5 + 305016.i −0.0107103 + 0.0607412i −0.989694 0.143195i \(-0.954262\pi\)
0.978984 + 0.203936i \(0.0653735\pi\)
\(480\) −102555. 581617.i −0.0203167 0.115222i
\(481\) 789611. 287395.i 0.155615 0.0566391i
\(482\) 3.17336e6 5.49642e6i 0.622160 1.07761i
\(483\) −2.65919e6 4.60586e6i −0.518659 0.898344i
\(484\) 1.69188e6 + 1.41965e6i 0.328288 + 0.275467i
\(485\) −6.29214e6 5.27974e6i −1.21463 1.01920i
\(486\) −1.62229e6 2.80989e6i −0.311557 0.539633i
\(487\) 1.61598e6 2.79895e6i 0.308754 0.534778i −0.669336 0.742960i \(-0.733421\pi\)
0.978090 + 0.208182i \(0.0667547\pi\)
\(488\) 347231. 126382.i 0.0660038 0.0240234i
\(489\) 426898. + 2.42106e6i 0.0807332 + 0.457861i
\(490\) −1.07694e6 + 6.10765e6i −0.202629 + 1.14917i
\(491\) 6.87972e6 + 2.50401e6i 1.28786 + 0.468741i 0.893022 0.450012i \(-0.148580\pi\)
0.394833 + 0.918753i \(0.370803\pi\)
\(492\) 1.21313e6 1.01794e6i 0.225941 0.189587i
\(493\) −6.78914e6 −1.25805
\(494\) −1.37254e6 866043.i −0.253050 0.159670i
\(495\) 3.45439e6 0.633664
\(496\) −1.65589e6 + 1.38946e6i −0.302223 + 0.253595i
\(497\) −8.63006e6 3.14108e6i −1.56719 0.570412i
\(498\) −165129. + 936496.i −0.0298367 + 0.169212i
\(499\) −749484. 4.25054e6i −0.134745 0.764174i −0.975037 0.222041i \(-0.928728\pi\)
0.840293 0.542133i \(-0.182383\pi\)
\(500\) −2.76632e6 + 1.00686e6i −0.494855 + 0.180112i
\(501\) −2.21925e6 + 3.84385e6i −0.395013 + 0.684182i
\(502\) −561831. 973120.i −0.0995054 0.172348i
\(503\) −3.55744e6 2.98504e6i −0.626928 0.526055i 0.273045 0.962001i \(-0.411969\pi\)
−0.899973 + 0.435947i \(0.856414\pi\)
\(504\) −1.27903e6 1.07323e6i −0.224287 0.188199i
\(505\) 2.01167e6 + 3.48431e6i 0.351017 + 0.607979i
\(506\) −2.44203e6 + 4.22971e6i −0.424008 + 0.734403i
\(507\) 3.16398e6 1.15160e6i 0.546656 0.198967i
\(508\) −851821. 4.83092e6i −0.146450 0.830559i
\(509\) 1.26671e6 7.18388e6i 0.216712 1.22904i −0.661199 0.750211i \(-0.729952\pi\)
0.877911 0.478824i \(-0.158937\pi\)
\(510\) 4.10818e6 + 1.49526e6i 0.699397 + 0.254560i
\(511\) 7.32790e6 6.14884e6i 1.24145 1.04170i
\(512\) 262144. 0.0441942
\(513\) −5.59912e6 + 2.94570e6i −0.939348 + 0.494192i
\(514\) −7.59815e6 −1.26853
\(515\) −5.31581e6 + 4.46049e6i −0.883184 + 0.741080i
\(516\) −2.99540e6 1.09024e6i −0.495257 0.180259i
\(517\) −1.92638e6 + 1.09250e7i −0.316968 + 1.79762i
\(518\) −488138. 2.76837e6i −0.0799316 0.453315i
\(519\) 3.01011e6 1.09559e6i 0.490528 0.178538i
\(520\) 430795. 746160.i 0.0698655 0.121011i
\(521\) 3.55949e6 + 6.16522e6i 0.574505 + 0.995071i 0.996095 + 0.0882850i \(0.0281386\pi\)
−0.421591 + 0.906786i \(0.638528\pi\)
\(522\) 1.32806e6 + 1.11437e6i 0.213324 + 0.179000i
\(523\) −8.94397e6 7.50488e6i −1.42980 1.19975i −0.945830 0.324664i \(-0.894749\pi\)
−0.483973 0.875083i \(-0.660807\pi\)
\(524\) −159704. 276616.i −0.0254091 0.0440098i
\(525\) 475178. 823033.i 0.0752417 0.130322i
\(526\) −6.51002e6 + 2.36945e6i −1.02593 + 0.373408i
\(527\) −2.77860e6 1.57582e7i −0.435812 2.47161i
\(528\) 268552. 1.52304e6i 0.0419222 0.237753i
\(529\) 1.36407e6 + 496481.i 0.211933 + 0.0771371i
\(530\) −574790. + 482306.i −0.0888831 + 0.0745818i
\(531\) 371400. 0.0571617
\(532\) −3.65056e6 + 4.01880e6i −0.559217 + 0.615626i
\(533\) 2.31031e6 0.352251
\(534\) −2.08001e6 + 1.74534e6i −0.315655 + 0.264866i
\(535\) 5.50609e6 + 2.00405e6i 0.831685 + 0.302709i
\(536\) 429862. 2.43787e6i 0.0646274 0.366520i
\(537\) −591100. 3.35230e6i −0.0884556 0.501657i
\(538\) −2.16219e6 + 786972.i −0.322061 + 0.117221i
\(539\) −8.12018e6 + 1.40646e7i −1.20391 + 2.08523i
\(540\) −1.67939e6 2.90878e6i −0.247837 0.429266i
\(541\) −4.15762e6 3.48866e6i −0.610733 0.512466i 0.284142 0.958782i \(-0.408291\pi\)
−0.894875 + 0.446316i \(0.852736\pi\)
\(542\) 5.24563e6 + 4.40160e6i 0.767007 + 0.643595i
\(543\) 722015. + 1.25057e6i 0.105086 + 0.182015i
\(544\) −970260. + 1.68054e6i −0.140569 + 0.243473i
\(545\) −2.97867e6 + 1.08415e6i −0.429568 + 0.156350i
\(546\) 426623. + 2.41950e6i 0.0612439 + 0.347331i
\(547\) 321355. 1.82250e6i 0.0459216 0.260435i −0.953200 0.302341i \(-0.902232\pi\)
0.999122 + 0.0419062i \(0.0133431\pi\)
\(548\) −2.17931e6 793206.i −0.310005 0.112833i
\(549\) 535073. 448979.i 0.0757673 0.0635763i
\(550\) −872744. −0.123021
\(551\) 3.79049e6 4.17285e6i 0.531884 0.585536i
\(552\) 1.57841e6 0.220482
\(553\) 1.82449e6 1.53093e6i 0.253705 0.212884i
\(554\) 8.95153e6 + 3.25809e6i 1.23915 + 0.451013i
\(555\) 326384. 1.85101e6i 0.0449776 0.255080i
\(556\) 254363. + 1.44256e6i 0.0348952 + 0.197901i
\(557\) 2935.09 1068.29i 0.000400852 0.000145898i −0.341820 0.939766i \(-0.611043\pi\)
0.342221 + 0.939620i \(0.388821\pi\)
\(558\) −2.04303e6 + 3.53862e6i −0.277772 + 0.481115i
\(559\) −2.32517e6 4.02731e6i −0.314721 0.545112i
\(560\) −2.20801e6 1.85274e6i −0.297530 0.249657i
\(561\) 8.76982e6 + 7.35875e6i 1.17648 + 0.987182i
\(562\) 1.85874e6 + 3.21943e6i 0.248243 + 0.429970i
\(563\) −1.72631e6 + 2.99005e6i −0.229534 + 0.397565i −0.957670 0.287868i \(-0.907054\pi\)
0.728136 + 0.685433i \(0.240387\pi\)
\(564\) 3.36897e6 1.22621e6i 0.445964 0.162318i
\(565\) −404217. 2.29243e6i −0.0532713 0.302116i
\(566\) 223551. 1.26782e6i 0.0293316 0.166348i
\(567\) 3.04278e6 + 1.10748e6i 0.397478 + 0.144670i
\(568\) 2.08796e6 1.75201e6i 0.271551 0.227858i
\(569\) 9.38291e6 1.21495 0.607473 0.794341i \(-0.292183\pi\)
0.607473 + 0.794341i \(0.292183\pi\)
\(570\) −3.21271e6 + 1.69021e6i −0.414175 + 0.217898i
\(571\) 8.27080e6 1.06159 0.530796 0.847500i \(-0.321893\pi\)
0.530796 + 0.847500i \(0.321893\pi\)
\(572\) 1.72834e6 1.45025e6i 0.220871 0.185333i
\(573\) 8.59792e6 + 3.12939e6i 1.09397 + 0.398174i
\(574\) 1.34210e6 7.61144e6i 0.170022 0.964244i
\(575\) −154674. 877202.i −0.0195096 0.110645i
\(576\) 465642. 169480.i 0.0584785 0.0212844i
\(577\) 2.73790e6 4.74218e6i 0.342356 0.592978i −0.642514 0.766274i \(-0.722108\pi\)
0.984870 + 0.173296i \(0.0554417\pi\)
\(578\) −4.34264e6 7.52167e6i −0.540672 0.936471i
\(579\) −6.32795e6 5.30978e6i −0.784453 0.658234i
\(580\) 2.29264e6 + 1.92376e6i 0.282987 + 0.237454i
\(581\) 2.32052e6 + 4.01926e6i 0.285197 + 0.493976i
\(582\) −3.47558e6 + 6.01988e6i −0.425324 + 0.736683i
\(583\) −1.84635e6 + 672016.i −0.224979 + 0.0818858i
\(584\) 492988. + 2.79587e6i 0.0598141 + 0.339223i
\(585\) 282812. 1.60391e6i 0.0341671 0.193771i
\(586\) 1.07957e6 + 392931.i 0.129869 + 0.0472686i
\(587\) −8.96349e6 + 7.52126e6i −1.07370 + 0.900939i −0.995382 0.0959895i \(-0.969398\pi\)
−0.0783152 + 0.996929i \(0.524954\pi\)
\(588\) 5.24850e6 0.626026
\(589\) 1.12369e7 + 7.09026e6i 1.33462 + 0.842120i
\(590\) 641153. 0.0758283
\(591\) −6.06432e6 + 5.08857e6i −0.714190 + 0.599276i
\(592\) 783968. + 285341.i 0.0919378 + 0.0334626i
\(593\) −1.22767e6 + 6.96246e6i −0.143366 + 0.813066i 0.825299 + 0.564695i \(0.191006\pi\)
−0.968665 + 0.248371i \(0.920105\pi\)
\(594\) −1.52730e6 8.66174e6i −0.177606 1.00725i
\(595\) 2.00498e7 7.29754e6i 2.32176 0.845053i
\(596\) 2.07863e6 3.60030e6i 0.239697 0.415167i
\(597\) −1.41811e6 2.45624e6i −0.162845 0.282055i
\(598\) 1.76396e6 + 1.48014e6i 0.201714 + 0.169258i
\(599\) −3.98768e6 3.34606e6i −0.454102 0.381037i 0.386854 0.922141i \(-0.373562\pi\)
−0.840955 + 0.541105i \(0.818006\pi\)
\(600\) 141025. + 244263.i 0.0159926 + 0.0277000i
\(601\) 4.05200e6 7.01826e6i 0.457597 0.792580i −0.541237 0.840870i \(-0.682044\pi\)
0.998833 + 0.0482897i \(0.0153771\pi\)
\(602\) −1.46189e7 + 5.32085e6i −1.64409 + 0.598398i
\(603\) −812560. 4.60826e6i −0.0910043 0.516111i
\(604\) −480647. + 2.72588e6i −0.0536085 + 0.304029i
\(605\) 6.77247e6 + 2.46498e6i 0.752244 + 0.273794i
\(606\) 2.60828e6 2.18860e6i 0.288517 0.242095i
\(607\) −5.55114e6 −0.611520 −0.305760 0.952109i \(-0.598910\pi\)
−0.305760 + 0.952109i \(0.598910\pi\)
\(608\) −491207. 1.53463e6i −0.0538897 0.168362i
\(609\) −8.53405e6 −0.932421
\(610\) 923704. 775080.i 0.100510 0.0843377i
\(611\) 4.91488e6 + 1.78887e6i 0.532611 + 0.193855i
\(612\) −636964. + 3.61240e6i −0.0687442 + 0.389868i
\(613\) 1.74607e6 + 9.90245e6i 0.187677 + 1.06437i 0.922468 + 0.386074i \(0.126169\pi\)
−0.734791 + 0.678293i \(0.762720\pi\)
\(614\) 268316. 97659.2i 0.0287228 0.0104542i
\(615\) 2.58387e6 4.47539e6i 0.275475 0.477137i
\(616\) −3.77389e6 6.53657e6i −0.400717 0.694062i
\(617\) −1.20780e6 1.01347e6i −0.127727 0.107176i 0.576686 0.816966i \(-0.304345\pi\)
−0.704414 + 0.709790i \(0.748790\pi\)
\(618\) 4.49865e6 + 3.77482e6i 0.473817 + 0.397580i
\(619\) −5.78438e6 1.00188e7i −0.606779 1.05097i −0.991768 0.128051i \(-0.959128\pi\)
0.384989 0.922921i \(-0.374205\pi\)
\(620\) −3.52690e6 + 6.10878e6i −0.368480 + 0.638227i
\(621\) 8.43531e6 3.07020e6i 0.877752 0.319476i
\(622\) 1.32854e6 + 7.53450e6i 0.137688 + 0.780870i
\(623\) −2.30114e6 + 1.30504e7i −0.237533 + 1.34711i
\(624\) −685172. 249382.i −0.0704431 0.0256392i
\(625\) −6.40391e6 + 5.37352e6i −0.655761 + 0.550248i
\(626\) 3.45572e6 0.352454
\(627\) −9.41930e6 + 1.28173e6i −0.956863 + 0.130205i
\(628\) 519927. 0.0526070
\(629\) −4.73091e6 + 3.96971e6i −0.476780 + 0.400066i
\(630\) −5.11986e6 1.86348e6i −0.513934 0.187057i
\(631\) −838260. + 4.75401e6i −0.0838119 + 0.475321i 0.913795 + 0.406176i \(0.133138\pi\)
−0.997607 + 0.0691445i \(0.977973\pi\)
\(632\) 122743. + 696112.i 0.0122238 + 0.0693244i
\(633\) −3.11983e6 + 1.13553e6i −0.309473 + 0.112639i
\(634\) 4.99213e6 8.64663e6i 0.493246 0.854326i
\(635\) −8.00377e6 1.38629e7i −0.787699 1.36433i
\(636\) 486432. + 408165.i 0.0476847 + 0.0400122i
\(637\) 5.86550e6 + 4.92174e6i 0.572739 + 0.480585i
\(638\) 3.91855e6 + 6.78713e6i 0.381131 + 0.660138i
\(639\) 2.57611e6 4.46195e6i 0.249581 0.432288i
\(640\) 803844. 292575.i 0.0775751 0.0282350i
\(641\) −3.47865e6 1.97284e7i −0.334400 1.89647i −0.433080 0.901355i \(-0.642573\pi\)
0.0986804 0.995119i \(-0.468538\pi\)
\(642\) 861074. 4.88340e6i 0.0824524 0.467611i
\(643\) −5.62640e6 2.04784e6i −0.536665 0.195330i 0.0594470 0.998231i \(-0.481066\pi\)
−0.596112 + 0.802901i \(0.703288\pi\)
\(644\) 5.90112e6 4.95163e6i 0.560686 0.470472i
\(645\) −1.04020e7 −0.984500
\(646\) 1.16562e7 + 2.53105e6i 1.09895 + 0.238627i
\(647\) 1.64159e6 0.154172 0.0770859 0.997024i \(-0.475438\pi\)
0.0770859 + 0.997024i \(0.475438\pi\)
\(648\) −736171. + 617721.i −0.0688718 + 0.0577903i
\(649\) 1.57769e6 + 574231.i 0.147031 + 0.0535149i
\(650\) −71451.7 + 405223.i −0.00663329 + 0.0376193i
\(651\) −3.49274e6 1.98083e7i −0.323009 1.83187i
\(652\) −3.34611e6 + 1.21789e6i −0.308263 + 0.112199i
\(653\) 3.28829e6 5.69549e6i 0.301778 0.522694i −0.674761 0.738036i \(-0.735753\pi\)
0.976539 + 0.215342i \(0.0690866\pi\)
\(654\) 1.34128e6 + 2.32317e6i 0.122624 + 0.212391i
\(655\) −798449. 669978.i −0.0727183 0.0610179i
\(656\) 1.75715e6 + 1.47442e6i 0.159422 + 0.133771i
\(657\) 2.68326e6 + 4.64754e6i 0.242521 + 0.420058i
\(658\) 8.74868e6 1.51532e7i 0.787731 1.36439i
\(659\) −1.27687e7 + 4.64742e6i −1.14534 + 0.416868i −0.843838 0.536599i \(-0.819709\pi\)
−0.301498 + 0.953467i \(0.597487\pi\)
\(660\) −876345. 4.97000e6i −0.0783096 0.444116i
\(661\) −1.62833e6 + 9.23469e6i −0.144956 + 0.822089i 0.822446 + 0.568844i \(0.192609\pi\)
−0.967402 + 0.253245i \(0.918502\pi\)
\(662\) −4.61988e6 1.68150e6i −0.409719 0.149125i
\(663\) 4.13472e6 3.46944e6i 0.365311 0.306532i
\(664\) −1.37738e6 −0.121237
\(665\) −6.70883e6 + 1.63977e7i −0.588292 + 1.43790i
\(666\) 1.57703e6 0.137770
\(667\) −6.12733e6 + 5.14144e6i −0.533281 + 0.447476i
\(668\) −6.04119e6 2.19881e6i −0.523819 0.190654i
\(669\) −2.14805e6 + 1.21822e7i −0.185557 + 1.05235i
\(670\) −1.40273e6 7.95530e6i −0.120722 0.684651i
\(671\) 2.96714e6 1.07995e6i 0.254408 0.0925971i
\(672\) −1.21963e6 + 2.11247e6i −0.104185 + 0.180454i
\(673\) 1.07619e7 + 1.86402e7i 0.915908 + 1.58640i 0.805566 + 0.592506i \(0.201861\pi\)
0.110343 + 0.993894i \(0.464805\pi\)
\(674\) 2.77344e6 + 2.32719e6i 0.235163 + 0.197325i
\(675\) 1.22878e6 + 1.03107e6i 0.103805 + 0.0871023i
\(676\) 2.43848e6 + 4.22357e6i 0.205236 + 0.355478i
\(677\) 7.21906e6 1.25038e7i 0.605353 1.04850i −0.386643 0.922230i \(-0.626365\pi\)
0.991996 0.126273i \(-0.0403014\pi\)
\(678\) −1.85115e6 + 673765.i −0.154657 + 0.0562904i
\(679\) 5.89100e6 + 3.34095e7i 0.490359 + 2.78096i
\(680\) −1.09960e6 + 6.23614e6i −0.0911932 + 0.517182i
\(681\) −1.48136e7 5.39173e6i −1.22404 0.445513i
\(682\) −1.41498e7 + 1.18731e7i −1.16490 + 0.977470i
\(683\) 1.39407e7 1.14349 0.571747 0.820430i \(-0.306266\pi\)
0.571747 + 0.820430i \(0.306266\pi\)
\(684\) −1.86468e6 2.40837e6i −0.152393 0.196826i
\(685\) −7.56799e6 −0.616246
\(686\) 8.51667e6 7.14633e6i 0.690970 0.579793i
\(687\) −8.75524e6 3.18665e6i −0.707744 0.257598i
\(688\) 801752. 4.54696e6i 0.0645757 0.366227i
\(689\) 160862. + 912294.i 0.0129094 + 0.0732128i
\(690\) 4.84007e6 1.76164e6i 0.387016 0.140862i
\(691\) −3.42012e6 + 5.92382e6i −0.272487 + 0.471961i −0.969498 0.245099i \(-0.921180\pi\)
0.697011 + 0.717060i \(0.254513\pi\)
\(692\) 2.31989e6 + 4.01817e6i 0.184163 + 0.318980i
\(693\) −1.09295e7 9.17093e6i −0.864503 0.725404i
\(694\) −4.87725e6 4.09250e6i −0.384394 0.322545i
\(695\) 2.39001e6 + 4.13962e6i 0.187688 + 0.325086i
\(696\) 1.26638e6 2.19344e6i 0.0990928 0.171634i
\(697\) −1.59558e7 + 5.80744e6i −1.24405 + 0.452797i
\(698\) −70424.2 399395.i −0.00547121 0.0310288i
\(699\) 924728. 5.24439e6i 0.0715848 0.405978i
\(700\) 1.29352e6 + 470803.i 0.0997765 + 0.0363157i
\(701\) −4.86696e6 + 4.08387e6i −0.374079 + 0.313889i −0.810373 0.585915i \(-0.800735\pi\)
0.436294 + 0.899804i \(0.356291\pi\)
\(702\) −4.14676e6 −0.317590
\(703\) 201426. 5.12415e6i 0.0153719 0.391051i
\(704\) 2.24006e6 0.170344
\(705\) 8.96214e6 7.52013e6i 0.679108 0.569840i
\(706\) 4.22721e6 + 1.53858e6i 0.319185 + 0.116174i
\(707\) 2.88556e6 1.63648e7i 0.217111 1.23130i
\(708\) −94220.3 534350.i −0.00706418 0.0400629i
\(709\) −1.21841e6 + 443464.i −0.0910284 + 0.0331316i −0.387133 0.922024i \(-0.626535\pi\)
0.296105 + 0.955156i \(0.404312\pi\)
\(710\) 4.44718e6 7.70273e6i 0.331084 0.573455i
\(711\) 668073. + 1.15714e6i 0.0495621 + 0.0858441i
\(712\) −3.01278e6 2.52802e6i −0.222724 0.186888i
\(713\) −1.44415e7 1.21179e7i −1.06387 0.892692i
\(714\) −9.02833e6 1.56375e7i −0.662768 1.14795i
\(715\) 3.68121e6 6.37604e6i 0.269293 0.466429i
\(716\) 4.63316e6 1.68633e6i 0.337750 0.122931i
\(717\) 1.37320e6 + 7.78781e6i 0.0997554 + 0.565741i
\(718\) −2.22380e6 + 1.26118e7i −0.160985 + 0.912990i
\(719\) −3.35062e6 1.21953e6i −0.241715 0.0879769i 0.218322 0.975877i \(-0.429942\pi\)
−0.460037 + 0.887900i \(0.652164\pi\)
\(720\) 1.23870e6 1.03939e6i 0.0890503 0.0747221i
\(721\) 2.86609e7 2.05329
\(722\) −8.06354e6 + 5.75120e6i −0.575682 + 0.410597i
\(723\) −1.75270e7 −1.24699
\(724\) −1.60225e6 + 1.34445e6i −0.113602 + 0.0953231i
\(725\) −1.34310e6 488850.i −0.0948996 0.0345406i
\(726\) 1.05912e6 6.00656e6i 0.0745766 0.422945i
\(727\) −725067. 4.11206e6i −0.0508794 0.288551i 0.948742 0.316050i \(-0.102357\pi\)
−0.999622 + 0.0274989i \(0.991246\pi\)
\(728\) −3.34396e6 + 1.21710e6i −0.233847 + 0.0851134i
\(729\) −6.30450e6 + 1.09197e7i −0.439372 + 0.761014i
\(730\) 4.63214e6 + 8.02311e6i 0.321718 + 0.557231i
\(731\) 2.61819e7 + 2.19693e7i 1.81221 + 1.52062i
\(732\) −781710. 655932.i −0.0539222 0.0452461i
\(733\) −6.38207e6 1.10541e7i −0.438734 0.759910i 0.558858 0.829263i \(-0.311240\pi\)
−0.997592 + 0.0693533i \(0.977906\pi\)
\(734\) 3.33249e6 5.77205e6i 0.228312 0.395448i
\(735\) 1.60941e7 5.85779e6i 1.09888 0.399959i
\(736\) 397000. + 2.25150e6i 0.0270145 + 0.153207i
\(737\) 3.67323e6 2.08319e7i 0.249103 1.41274i
\(738\) 4.07443e6 + 1.48297e6i 0.275376 + 0.100229i
\(739\) 1.21917e7 1.02300e7i 0.821206 0.689074i −0.132048 0.991243i \(-0.542155\pi\)
0.953254 + 0.302169i \(0.0977109\pi\)
\(740\) 2.72244e6 0.182759
\(741\) −176042. + 4.47840e6i −0.0117780 + 0.299624i
\(742\) 3.09905e6 0.206642
\(743\) −7.63798e6 + 6.40903e6i −0.507582 + 0.425912i −0.860277 0.509826i \(-0.829710\pi\)
0.352695 + 0.935738i \(0.385265\pi\)
\(744\) 5.60948e6 + 2.04168e6i 0.371527 + 0.135225i
\(745\) 2.35572e6 1.33600e7i 0.155501 0.881890i
\(746\) 2.82135e6 + 1.60007e7i 0.185614 + 1.05267i
\(747\) −2.44662e6 + 890499.i −0.160423 + 0.0583891i
\(748\) −8.29101e6 + 1.43605e7i −0.541818 + 0.938457i
\(749\) −1.21004e7 2.09586e7i −0.788128 1.36508i
\(750\) 6.22773e6 + 5.22569e6i 0.404275 + 0.339227i
\(751\) 421588. + 353754.i 0.0272765 + 0.0228877i 0.656324 0.754479i \(-0.272110\pi\)
−0.629048 + 0.777367i \(0.716555\pi\)
\(752\) 2.59647e6 + 4.49721e6i 0.167432 + 0.290000i
\(753\) −1.55155e6 + 2.68736e6i −0.0997189 + 0.172718i
\(754\) 3.47214e6 1.26375e6i 0.222417 0.0809533i
\(755\) 1.56846e6 + 8.89515e6i 0.100139 + 0.567918i
\(756\) −2.40893e6 + 1.36617e7i −0.153292 + 0.869363i
\(757\) 2.36414e7 + 8.60477e6i 1.49946 + 0.545757i 0.955919 0.293629i \(-0.0948630\pi\)
0.543536 + 0.839386i \(0.317085\pi\)
\(758\) 374708. 314418.i 0.0236876 0.0198762i
\(759\) 1.34877e7 0.849835
\(760\) −3.21903e6 4.15760e6i −0.202158 0.261101i
\(761\) 9.64716e6 0.603862 0.301931 0.953330i \(-0.402369\pi\)
0.301931 + 0.953330i \(0.402369\pi\)
\(762\) −1.03775e7 + 8.70773e6i −0.647447 + 0.543272i
\(763\) 1.23026e7 + 4.47778e6i 0.765042 + 0.278453i
\(764\) −2.30133e6 + 1.30515e7i −0.142641 + 0.808959i
\(765\) 2.07855e6 + 1.17881e7i 0.128413 + 0.728264i
\(766\) 5.35129e6 1.94771e6i 0.329524 0.119937i
\(767\) 395786. 685521.i 0.0242925 0.0420758i
\(768\) −361967. 626945.i −0.0221445