Properties

Label 38.6.e.b.9.2
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 9.2
Character \(\chi\) \(=\) 38.9
Dual form 38.6.e.b.17.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.694593 + 3.93923i) q^{2} +(-8.20450 + 6.88439i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(-55.8231 - 20.3180i) q^{5} +(-32.8180 - 27.5376i) q^{6} +(115.217 - 199.562i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-22.2776 + 126.342i) q^{9} +O(q^{10})\) \(q+(0.694593 + 3.93923i) q^{2} +(-8.20450 + 6.88439i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(-55.8231 - 20.3180i) q^{5} +(-32.8180 - 27.5376i) q^{6} +(115.217 - 199.562i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-22.2776 + 126.342i) q^{9} +(41.2628 - 234.013i) q^{10} +(28.7379 + 49.7756i) q^{11} +(85.6817 - 148.405i) q^{12} +(-825.682 - 692.829i) q^{13} +(866.149 + 315.252i) q^{14} +(597.878 - 217.610i) q^{15} +(196.107 - 164.554i) q^{16} +(-149.904 - 850.150i) q^{17} -513.165 q^{18} +(-1440.26 + 633.833i) q^{19} +950.492 q^{20} +(428.563 + 2430.50i) q^{21} +(-176.116 + 147.779i) q^{22} +(-1497.24 + 544.952i) q^{23} +(644.116 + 234.439i) q^{24} +(309.515 + 259.714i) q^{25} +(2155.70 - 3733.79i) q^{26} +(-1988.30 - 3443.84i) q^{27} +(-640.231 + 3630.93i) q^{28} +(-1256.82 + 7127.77i) q^{29} +(1272.50 + 2204.03i) q^{30} +(-601.842 + 1042.42i) q^{31} +(784.430 + 658.215i) q^{32} +(-578.455 - 210.540i) q^{33} +(3244.81 - 1181.02i) q^{34} +(-10486.5 + 8799.19i) q^{35} +(-356.441 - 2021.48i) q^{36} +14445.2 q^{37} +(-3497.21 - 5233.27i) q^{38} +11544.0 q^{39} +(660.205 + 3744.21i) q^{40} +(11228.6 - 9421.90i) q^{41} +(-9276.64 + 3376.42i) q^{42} +(-16318.5 - 5939.44i) q^{43} +(-704.465 - 591.116i) q^{44} +(3810.62 - 6600.19i) q^{45} +(-3186.66 - 5519.46i) q^{46} +(-785.085 + 4452.44i) q^{47} +(-476.111 + 2700.16i) q^{48} +(-18146.4 - 31430.5i) q^{49} +(-808.085 + 1399.64i) q^{50} +(7082.66 + 5943.05i) q^{51} +(16205.6 + 5898.35i) q^{52} +(-573.221 + 208.635i) q^{53} +(12185.0 - 10224.5i) q^{54} +(-592.904 - 3362.52i) q^{55} -14747.8 q^{56} +(7453.07 - 15115.6i) q^{57} -28950.9 q^{58} +(-1888.54 - 10710.5i) q^{59} +(-7798.31 + 6543.56i) q^{60} +(-15985.3 + 5818.18i) q^{61} +(-4524.37 - 1646.74i) q^{62} +(22646.3 + 19002.5i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(32015.3 + 55452.1i) q^{65} +(427.577 - 2424.91i) q^{66} +(-1302.12 + 7384.66i) q^{67} +(6906.12 + 11961.8i) q^{68} +(8532.46 - 14778.7i) q^{69} +(-41945.9 - 35196.8i) q^{70} +(27762.6 + 10104.8i) q^{71} +(7715.48 - 2808.21i) q^{72} +(24769.0 - 20783.6i) q^{73} +(10033.6 + 56903.1i) q^{74} -4327.38 q^{75} +(18185.9 - 17411.3i) q^{76} +13244.4 q^{77} +(8018.39 + 45474.5i) q^{78} +(-23608.8 + 19810.2i) q^{79} +(-14290.7 + 5201.40i) q^{80} +(10727.1 + 3904.34i) q^{81} +(44914.3 + 37687.6i) q^{82} +(-18723.1 + 32429.4i) q^{83} +(-19744.0 - 34197.6i) q^{84} +(-8905.18 + 50503.8i) q^{85} +(12062.1 - 68407.8i) q^{86} +(-38758.8 - 67132.2i) q^{87} +(1839.23 - 3185.64i) q^{88} +(-6397.00 - 5367.72i) q^{89} +(28646.5 + 10426.5i) q^{90} +(-233395. + 84948.8i) q^{91} +(19529.0 - 16386.8i) q^{92} +(-2238.62 - 12695.9i) q^{93} -18084.5 q^{94} +(93278.1 - 6119.36i) q^{95} -10967.3 q^{96} +(-7308.02 - 41445.9i) q^{97} +(111208. - 93314.4i) q^{98} +(-6928.97 + 2521.94i) 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
\(3\) −8.20450 + 6.88439i −0.526319 + 0.441634i −0.866828 0.498607i \(-0.833845\pi\)
0.340509 + 0.940241i \(0.389401\pi\)
\(4\) −15.0351 + 5.47232i −0.469846 + 0.171010i
\(5\) −55.8231 20.3180i −0.998595 0.363459i −0.209552 0.977797i \(-0.567201\pi\)
−0.789042 + 0.614339i \(0.789423\pi\)
\(6\) −32.8180 27.5376i −0.372164 0.312282i
\(7\) 115.217 199.562i 0.888734 1.53933i 0.0473598 0.998878i \(-0.484919\pi\)
0.841374 0.540454i \(-0.181747\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) −22.2776 + 126.342i −0.0916772 + 0.519927i
\(10\) 41.2628 234.013i 0.130484 0.740014i
\(11\) 28.7379 + 49.7756i 0.0716100 + 0.124032i 0.899607 0.436700i \(-0.143853\pi\)
−0.827997 + 0.560732i \(0.810520\pi\)
\(12\) 85.6817 148.405i 0.171765 0.297506i
\(13\) −825.682 692.829i −1.35505 1.13702i −0.977478 0.211038i \(-0.932316\pi\)
−0.377569 0.925981i \(-0.623240\pi\)
\(14\) 866.149 + 315.252i 1.18106 + 0.429871i
\(15\) 597.878 217.610i 0.686095 0.249718i
\(16\) 196.107 164.554i 0.191511 0.160697i
\(17\) −149.904 850.150i −0.125803 0.713466i −0.980828 0.194878i \(-0.937569\pi\)
0.855024 0.518588i \(-0.173542\pi\)
\(18\) −513.165 −0.373316
\(19\) −1440.26 + 633.833i −0.915287 + 0.402801i
\(20\) 950.492 0.531341
\(21\) 428.563 + 2430.50i 0.212064 + 1.20267i
\(22\) −176.116 + 147.779i −0.0775788 + 0.0650963i
\(23\) −1497.24 + 544.952i −0.590164 + 0.214802i −0.619801 0.784759i \(-0.712787\pi\)
0.0296377 + 0.999561i \(0.490565\pi\)
\(24\) 644.116 + 234.439i 0.228263 + 0.0830810i
\(25\) 309.515 + 259.714i 0.0990447 + 0.0831084i
\(26\) 2155.70 3733.79i 0.625396 1.08322i
\(27\) −1988.30 3443.84i −0.524896 0.909147i
\(28\) −640.231 + 3630.93i −0.154327 + 0.875232i
\(29\) −1256.82 + 7127.77i −0.277509 + 1.57383i 0.453367 + 0.891324i \(0.350223\pi\)
−0.730876 + 0.682510i \(0.760888\pi\)
\(30\) 1272.50 + 2204.03i 0.258139 + 0.447110i
\(31\) −601.842 + 1042.42i −0.112481 + 0.194823i −0.916770 0.399416i \(-0.869213\pi\)
0.804289 + 0.594238i \(0.202546\pi\)
\(32\) 784.430 + 658.215i 0.135419 + 0.113630i
\(33\) −578.455 210.540i −0.0924665 0.0336551i
\(34\) 3244.81 1181.02i 0.481385 0.175210i
\(35\) −10486.5 + 8799.19i −1.44697 + 1.21415i
\(36\) −356.441 2021.48i −0.0458386 0.259964i
\(37\) 14445.2 1.73468 0.867342 0.497713i \(-0.165827\pi\)
0.867342 + 0.497713i \(0.165827\pi\)
\(38\) −3497.21 5233.27i −0.392883 0.587914i
\(39\) 11544.0 1.21533
\(40\) 660.205 + 3744.21i 0.0652422 + 0.370007i
\(41\) 11228.6 9421.90i 1.04319 0.875344i 0.0508333 0.998707i \(-0.483812\pi\)
0.992362 + 0.123363i \(0.0393678\pi\)
\(42\) −9276.64 + 3376.42i −0.811460 + 0.295347i
\(43\) −16318.5 5939.44i −1.34589 0.489863i −0.434226 0.900804i \(-0.642978\pi\)
−0.911662 + 0.410941i \(0.865200\pi\)
\(44\) −704.465 591.116i −0.0548565 0.0460300i
\(45\) 3810.62 6600.19i 0.280520 0.485876i
\(46\) −3186.66 5519.46i −0.222045 0.384594i
\(47\) −785.085 + 4452.44i −0.0518409 + 0.294004i −0.999695 0.0247007i \(-0.992137\pi\)
0.947854 + 0.318705i \(0.103248\pi\)
\(48\) −476.111 + 2700.16i −0.0298267 + 0.169156i
\(49\) −18146.4 31430.5i −1.07969 1.87009i
\(50\) −808.085 + 1399.64i −0.0457122 + 0.0791759i
\(51\) 7082.66 + 5943.05i 0.381303 + 0.319952i
\(52\) 16205.6 + 5898.35i 0.831106 + 0.302498i
\(53\) −573.221 + 208.635i −0.0280306 + 0.0102023i −0.355997 0.934487i \(-0.615859\pi\)
0.327967 + 0.944689i \(0.393637\pi\)
\(54\) 12185.0 10224.5i 0.568647 0.477151i
\(55\) −592.904 3362.52i −0.0264288 0.149885i
\(56\) −14747.8 −0.628430
\(57\) 7453.07 15115.6i 0.303842 0.616224i
\(58\) −28950.9 −1.13004
\(59\) −1888.54 10710.5i −0.0706312 0.400569i −0.999542 0.0302656i \(-0.990365\pi\)
0.928911 0.370304i \(-0.120746\pi\)
\(60\) −7798.31 + 6543.56i −0.279655 + 0.234658i
\(61\) −15985.3 + 5818.18i −0.550043 + 0.200199i −0.602066 0.798447i \(-0.705655\pi\)
0.0520226 + 0.998646i \(0.483433\pi\)
\(62\) −4524.37 1646.74i −0.149479 0.0544058i
\(63\) 22646.3 + 19002.5i 0.718864 + 0.603198i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) 32015.3 + 55452.1i 0.939883 + 1.62793i
\(66\) 427.577 2424.91i 0.0120824 0.0685228i
\(67\) −1302.12 + 7384.66i −0.0354374 + 0.200976i −0.997386 0.0722540i \(-0.976981\pi\)
0.961949 + 0.273230i \(0.0880919\pi\)
\(68\) 6906.12 + 11961.8i 0.181118 + 0.313706i
\(69\) 8532.46 14778.7i 0.215750 0.373691i
\(70\) −41945.9 35196.8i −1.02316 0.858534i
\(71\) 27762.6 + 10104.8i 0.653603 + 0.237892i 0.647472 0.762089i \(-0.275826\pi\)
0.00613109 + 0.999981i \(0.498048\pi\)
\(72\) 7715.48 2808.21i 0.175401 0.0638407i
\(73\) 24769.0 20783.6i 0.544003 0.456472i −0.328901 0.944364i \(-0.606678\pi\)
0.872904 + 0.487892i \(0.162234\pi\)
\(74\) 10033.6 + 56903.1i 0.212998 + 1.20797i
\(75\) −4327.38 −0.0888325
\(76\) 18185.9 17411.3i 0.361161 0.345778i
\(77\) 13244.4 0.254569
\(78\) 8018.39 + 45474.5i 0.149228 + 0.846314i
\(79\) −23608.8 + 19810.2i −0.425605 + 0.357125i −0.830290 0.557331i \(-0.811825\pi\)
0.404686 + 0.914456i \(0.367381\pi\)
\(80\) −14290.7 + 5201.40i −0.249649 + 0.0908647i
\(81\) 10727.1 + 3904.34i 0.181664 + 0.0661203i
\(82\) 44914.3 + 37687.6i 0.737650 + 0.618962i
\(83\) −18723.1 + 32429.4i −0.298321 + 0.516706i −0.975752 0.218880i \(-0.929760\pi\)
0.677431 + 0.735586i \(0.263093\pi\)
\(84\) −19744.0 34197.6i −0.305307 0.528807i
\(85\) −8905.18 + 50503.8i −0.133689 + 0.758188i
\(86\) 12062.1 68407.8i 0.175865 0.997377i
\(87\) −38758.8 67132.2i −0.549000 0.950896i
\(88\) 1839.23 3185.64i 0.0253180 0.0438520i
\(89\) −6397.00 5367.72i −0.0856055 0.0718315i 0.598981 0.800763i \(-0.295573\pi\)
−0.684586 + 0.728932i \(0.740017\pi\)
\(90\) 28646.5 + 10426.5i 0.372791 + 0.135685i
\(91\) −233395. + 84948.8i −2.95453 + 1.07536i
\(92\) 19529.0 16386.8i 0.240553 0.201848i
\(93\) −2238.62 12695.9i −0.0268395 0.152214i
\(94\) −18084.5 −0.211099
\(95\) 93278.1 6119.36i 1.06040 0.0695660i
\(96\) −10967.3 −0.121456
\(97\) −7308.02 41445.9i −0.0788625 0.447252i −0.998513 0.0545138i \(-0.982639\pi\)
0.919650 0.392738i \(-0.128472\pi\)
\(98\) 111208. 93314.4i 1.16969 0.981484i
\(99\) −6928.97 + 2521.94i −0.0710527 + 0.0258611i
\(100\) −6074.81 2211.05i −0.0607481 0.0221105i
\(101\) −39347.8 33016.8i −0.383811 0.322056i 0.430385 0.902645i \(-0.358378\pi\)
−0.814196 + 0.580590i \(0.802822\pi\)
\(102\) −18491.5 + 32028.2i −0.175983 + 0.304812i
\(103\) 14045.3 + 24327.2i 0.130448 + 0.225943i 0.923849 0.382756i \(-0.125025\pi\)
−0.793401 + 0.608699i \(0.791692\pi\)
\(104\) −11978.7 + 67934.5i −0.108599 + 0.615895i
\(105\) 25459.1 144386.i 0.225357 1.27806i
\(106\) −1220.02 2113.13i −0.0105463 0.0182668i
\(107\) 71167.6 123266.i 0.600929 1.04084i −0.391752 0.920071i \(-0.628131\pi\)
0.992681 0.120768i \(-0.0385358\pi\)
\(108\) 48740.1 + 40897.8i 0.402094 + 0.337397i
\(109\) −49515.0 18022.0i −0.399182 0.145290i 0.134625 0.990897i \(-0.457017\pi\)
−0.533807 + 0.845606i \(0.679239\pi\)
\(110\) 12833.9 4671.17i 0.101130 0.0368081i
\(111\) −118516. + 99446.7i −0.912997 + 0.766095i
\(112\) −10243.7 58094.9i −0.0771635 0.437616i
\(113\) 88516.5 0.652121 0.326060 0.945349i \(-0.394279\pi\)
0.326060 + 0.945349i \(0.394279\pi\)
\(114\) 64720.7 + 18860.2i 0.466424 + 0.135920i
\(115\) 94653.1 0.667406
\(116\) −20109.1 114044.i −0.138755 0.786917i
\(117\) 105928. 88884.0i 0.715394 0.600287i
\(118\) 40879.2 14878.8i 0.270270 0.0983701i
\(119\) −186929. 68036.6i −1.21007 0.440428i
\(120\) −31193.2 26174.2i −0.197746 0.165928i
\(121\) 78873.8 136613.i 0.489744 0.848262i
\(122\) −34022.4 58928.6i −0.206950 0.358448i
\(123\) −27260.9 + 154604.i −0.162471 + 0.921421i
\(124\) 3344.28 18966.4i 0.0195321 0.110772i
\(125\) 80820.3 + 139985.i 0.462642 + 0.801320i
\(126\) −59125.4 + 102408.i −0.331778 + 0.574657i
\(127\) −88008.6 73848.0i −0.484190 0.406284i 0.367749 0.929925i \(-0.380129\pi\)
−0.851939 + 0.523642i \(0.824573\pi\)
\(128\) −15395.9 5603.66i −0.0830579 0.0302306i
\(129\) 174774. 63612.7i 0.924706 0.336565i
\(130\) −196201. + 164632.i −1.01822 + 0.854390i
\(131\) 48979.9 + 277779.i 0.249367 + 1.41423i 0.810127 + 0.586254i \(0.199398\pi\)
−0.560760 + 0.827979i \(0.689491\pi\)
\(132\) 9849.26 0.0492004
\(133\) −39453.9 + 360450.i −0.193402 + 1.76691i
\(134\) −29994.3 −0.144304
\(135\) 41021.5 + 232645.i 0.193721 + 1.09865i
\(136\) −42323.2 + 35513.3i −0.196214 + 0.164643i
\(137\) −360518. + 131218.i −1.64107 + 0.597299i −0.987225 0.159333i \(-0.949066\pi\)
−0.653841 + 0.756632i \(0.726843\pi\)
\(138\) 64143.1 + 23346.2i 0.286716 + 0.104356i
\(139\) −202773. 170147.i −0.890172 0.746943i 0.0780723 0.996948i \(-0.475124\pi\)
−0.968245 + 0.250004i \(0.919568\pi\)
\(140\) 109513. 189682.i 0.472221 0.817910i
\(141\) −24211.1 41934.9i −0.102557 0.177635i
\(142\) −20521.3 + 116382.i −0.0854051 + 0.484356i
\(143\) 10757.6 61009.3i 0.0439921 0.249491i
\(144\) 16421.3 + 28442.5i 0.0659935 + 0.114304i
\(145\) 214981. 372359.i 0.849143 1.47076i
\(146\) 99075.9 + 83134.6i 0.384668 + 0.322775i
\(147\) 365262. + 132945.i 1.39416 + 0.507432i
\(148\) −217185. + 79049.0i −0.815035 + 0.296648i
\(149\) 317619. 266514.i 1.17203 0.983454i 0.172036 0.985091i \(-0.444965\pi\)
0.999999 + 0.00163659i \(0.000520943\pi\)
\(150\) −3005.77 17046.6i −0.0109076 0.0618598i
\(151\) −207430. −0.740338 −0.370169 0.928964i \(-0.620700\pi\)
−0.370169 + 0.928964i \(0.620700\pi\)
\(152\) 81219.0 + 59544.8i 0.285134 + 0.209043i
\(153\) 110749. 0.382484
\(154\) 9199.46 + 52172.7i 0.0312580 + 0.177273i
\(155\) 54776.6 45963.0i 0.183133 0.153667i
\(156\) −173565. + 63172.6i −0.571020 + 0.207834i
\(157\) −71542.2 26039.2i −0.231640 0.0843100i 0.223592 0.974683i \(-0.428222\pi\)
−0.455232 + 0.890373i \(0.650444\pi\)
\(158\) −94435.3 79240.6i −0.300948 0.252525i
\(159\) 3266.66 5658.02i 0.0102473 0.0177489i
\(160\) −30415.7 52681.6i −0.0939287 0.162689i
\(161\) −63756.3 + 361580.i −0.193847 + 1.09936i
\(162\) −7929.14 + 44968.4i −0.0237377 + 0.134623i
\(163\) −231395. 400789.i −0.682159 1.18153i −0.974321 0.225166i \(-0.927708\pi\)
0.292161 0.956369i \(-0.405626\pi\)
\(164\) −117263. + 203106.i −0.340449 + 0.589674i
\(165\) 28013.4 + 23506.0i 0.0801044 + 0.0672155i
\(166\) −140752. 51229.5i −0.396446 0.144295i
\(167\) 549530. 200013.i 1.52476 0.554966i 0.562426 0.826848i \(-0.309868\pi\)
0.962331 + 0.271882i \(0.0876460\pi\)
\(168\) 120998. 101529.i 0.330754 0.277536i
\(169\) 137264. + 778461.i 0.369691 + 2.09662i
\(170\) −205132. −0.544390
\(171\) −47994.4 196086.i −0.125516 0.512811i
\(172\) 277852. 0.716132
\(173\) 31486.3 + 178568.i 0.0799847 + 0.453616i 0.998327 + 0.0578277i \(0.0184174\pi\)
−0.918342 + 0.395788i \(0.870471\pi\)
\(174\) 237528. 199309.i 0.594759 0.499062i
\(175\) 87490.3 31843.9i 0.215956 0.0786014i
\(176\) 13826.5 + 5032.42i 0.0336457 + 0.0122460i
\(177\) 89229.5 + 74872.4i 0.214080 + 0.179634i
\(178\) 16701.4 28927.7i 0.0395096 0.0684326i
\(179\) −66387.7 114987.i −0.154866 0.268235i 0.778144 0.628085i \(-0.216161\pi\)
−0.933010 + 0.359850i \(0.882828\pi\)
\(180\) −21174.6 + 120087.i −0.0487119 + 0.276259i
\(181\) 120091. 681068.i 0.272466 1.54523i −0.474430 0.880293i \(-0.657346\pi\)
0.746896 0.664941i \(-0.231543\pi\)
\(182\) −496747. 860391.i −1.11162 1.92538i
\(183\) 91096.9 157784.i 0.201083 0.348286i
\(184\) 78116.0 + 65547.1i 0.170097 + 0.142728i
\(185\) −806378. 293498.i −1.73225 0.630486i
\(186\) 48457.0 17636.9i 0.102701 0.0373801i
\(187\) 38008.8 31893.1i 0.0794840 0.0666950i
\(188\) −12561.4 71239.0i −0.0259204 0.147002i
\(189\) −916346. −1.86597
\(190\) 88895.9 + 363194.i 0.178648 + 0.729885i
\(191\) 210150. 0.416818 0.208409 0.978042i \(-0.433171\pi\)
0.208409 + 0.978042i \(0.433171\pi\)
\(192\) −7617.78 43202.6i −0.0149133 0.0845778i
\(193\) 147175. 123494.i 0.284407 0.238646i −0.489412 0.872053i \(-0.662789\pi\)
0.773819 + 0.633407i \(0.218344\pi\)
\(194\) 158189. 57576.0i 0.301767 0.109834i
\(195\) −644423. 234551.i −1.21363 0.441723i
\(196\) 444831. + 373258.i 0.827094 + 0.694014i
\(197\) 75816.1 131317.i 0.139186 0.241077i −0.788003 0.615672i \(-0.788885\pi\)
0.927189 + 0.374594i \(0.122218\pi\)
\(198\) −14747.3 25543.1i −0.0267331 0.0463032i
\(199\) 49231.0 279203.i 0.0881265 0.499790i −0.908512 0.417860i \(-0.862780\pi\)
0.996638 0.0819304i \(-0.0261085\pi\)
\(200\) 4490.32 25465.9i 0.00793784 0.0450177i
\(201\) −40155.7 69551.7i −0.0701063 0.121428i
\(202\) 102730. 177933.i 0.177141 0.306817i
\(203\) 1.27762e6 + 1.07205e6i 2.17602 + 1.82590i
\(204\) −139011. 50595.7i −0.233869 0.0851213i
\(205\) −818249. + 297818.i −1.35988 + 0.494956i
\(206\) −86074.7 + 72225.3i −0.141321 + 0.118583i
\(207\) −35495.5 201305.i −0.0575769 0.326535i
\(208\) −275930. −0.442222
\(209\) −72939.6 53474.8i −0.115504 0.0846805i
\(210\) 586453. 0.917667
\(211\) −23916.9 135639.i −0.0369827 0.209739i 0.960717 0.277530i \(-0.0895160\pi\)
−0.997700 + 0.0677911i \(0.978405\pi\)
\(212\) 7476.70 6273.70i 0.0114254 0.00958703i
\(213\) −297343. + 108224.i −0.449065 + 0.163446i
\(214\) 535005. + 194726.i 0.798590 + 0.290663i
\(215\) 790272. + 663117.i 1.16595 + 0.978349i
\(216\) −127251. + 220406.i −0.185579 + 0.321432i
\(217\) 138685. + 240209.i 0.199931 + 0.346291i
\(218\) 36600.0 207569.i 0.0521603 0.295816i
\(219\) −60134.3 + 341039.i −0.0847251 + 0.480500i
\(220\) 27315.2 + 47311.3i 0.0380494 + 0.0659034i
\(221\) −465236. + 805812.i −0.640755 + 1.10982i
\(222\) −474064. 397787.i −0.645586 0.541711i
\(223\) 235184. + 85600.0i 0.316698 + 0.115269i 0.495478 0.868620i \(-0.334993\pi\)
−0.178780 + 0.983889i \(0.557215\pi\)
\(224\) 221734. 80704.6i 0.295265 0.107468i
\(225\) −39708.1 + 33319.0i −0.0522904 + 0.0438769i
\(226\) 61482.9 + 348687.i 0.0800725 + 0.454114i
\(227\) −1.40294e6 −1.80707 −0.903535 0.428513i \(-0.859037\pi\)
−0.903535 + 0.428513i \(0.859037\pi\)
\(228\) −29340.1 + 268050.i −0.0373787 + 0.341491i
\(229\) 538672. 0.678790 0.339395 0.940644i \(-0.389778\pi\)
0.339395 + 0.940644i \(0.389778\pi\)
\(230\) 65745.3 + 372860.i 0.0819493 + 0.464758i
\(231\) −108664. + 91179.6i −0.133984 + 0.112426i
\(232\) 435279. 158429.i 0.530943 0.193248i
\(233\) −715196. 260310.i −0.863048 0.314124i −0.127700 0.991813i \(-0.540759\pi\)
−0.735349 + 0.677689i \(0.762982\pi\)
\(234\) 423711. + 355536.i 0.505860 + 0.424467i
\(235\) 134290. 232598.i 0.158626 0.274749i
\(236\) 87005.4 + 150698.i 0.101687 + 0.176127i
\(237\) 57317.7 325065.i 0.0662854 0.375923i
\(238\) 138172. 783614.i 0.158117 0.896726i
\(239\) −395747. 685455.i −0.448150 0.776219i 0.550116 0.835088i \(-0.314584\pi\)
−0.998266 + 0.0588699i \(0.981250\pi\)
\(240\) 81439.8 141058.i 0.0912659 0.158077i
\(241\) 328493. + 275639.i 0.364321 + 0.305701i 0.806510 0.591220i \(-0.201354\pi\)
−0.442189 + 0.896922i \(0.645798\pi\)
\(242\) 592937. + 215811.i 0.650834 + 0.236884i
\(243\) 793151. 288683.i 0.861668 0.313622i
\(244\) 208502. 174954.i 0.224200 0.188126i
\(245\) 374386. + 2.12325e6i 0.398478 + 2.25988i
\(246\) −627956. −0.661594
\(247\) 1.62834e6 + 474511.i 1.69825 + 0.494885i
\(248\) 77035.8 0.0795360
\(249\) −69642.9 394964.i −0.0711833 0.403701i
\(250\) −495295. + 415602.i −0.501204 + 0.420560i
\(251\) −1.57164e6 + 572029.i −1.57459 + 0.573105i −0.974019 0.226465i \(-0.927283\pi\)
−0.600573 + 0.799570i \(0.705061\pi\)
\(252\) −444478. 161777.i −0.440909 0.160478i
\(253\) −70152.9 58865.3i −0.0689040 0.0578173i
\(254\) 229774. 397981.i 0.223469 0.387059i
\(255\) −274625. 475665.i −0.264478 0.458090i
\(256\) 11380.2 64540.4i 0.0108530 0.0615505i
\(257\) 114230. 647828.i 0.107881 0.611824i −0.882149 0.470970i \(-0.843904\pi\)
0.990030 0.140854i \(-0.0449849\pi\)
\(258\) 371982. + 644292.i 0.347915 + 0.602606i
\(259\) 1.66434e6 2.88272e6i 1.54167 2.67025i
\(260\) −784804. 658529.i −0.719992 0.604145i
\(261\) −872541. 317579.i −0.792838 0.288569i
\(262\) −1.06021e6 + 385886.i −0.954202 + 0.347301i
\(263\) −1.21300e6 + 1.01783e6i −1.08136 + 0.907372i −0.996033 0.0889812i \(-0.971639\pi\)
−0.0853300 + 0.996353i \(0.527194\pi\)
\(264\) 6841.22 + 38798.5i 0.00604121 + 0.0342614i
\(265\) 36238.0 0.0316993
\(266\) −1.44730e6 + 94947.6i −1.25416 + 0.0822773i
\(267\) 89437.7 0.0767790
\(268\) −20833.8 118155.i −0.0177187 0.100488i
\(269\) 17492.0 14677.5i 0.0147387 0.0123672i −0.635389 0.772193i \(-0.719160\pi\)
0.650127 + 0.759825i \(0.274716\pi\)
\(270\) −887947. + 323186.i −0.741272 + 0.269801i
\(271\) 255631. + 93042.2i 0.211442 + 0.0769586i 0.445570 0.895247i \(-0.353001\pi\)
−0.234128 + 0.972206i \(0.575223\pi\)
\(272\) −169293. 142053.i −0.138745 0.116420i
\(273\) 1.33007e6 2.30374e6i 1.08011 1.87080i
\(274\) −767311. 1.32902e6i −0.617441 1.06944i
\(275\) −4032.58 + 22869.9i −0.00321552 + 0.0182361i
\(276\) −47412.7 + 268891.i −0.0374647 + 0.212473i
\(277\) 1.12968e6 + 1.95667e6i 0.884621 + 1.53221i 0.846148 + 0.532948i \(0.178916\pi\)
0.0384727 + 0.999260i \(0.487751\pi\)
\(278\) 529404. 916955.i 0.410842 0.711600i
\(279\) −118294. 99260.8i −0.0909816 0.0763426i
\(280\) 823267. + 299645.i 0.627546 + 0.228408i
\(281\) 963881. 350824.i 0.728211 0.265047i 0.0488038 0.998808i \(-0.484459\pi\)
0.679408 + 0.733761i \(0.262237\pi\)
\(282\) 148374. 124501.i 0.111106 0.0932286i
\(283\) 56023.1 + 317723.i 0.0415816 + 0.235821i 0.998514 0.0544886i \(-0.0173529\pi\)
−0.956933 + 0.290309i \(0.906242\pi\)
\(284\) −472709. −0.347775
\(285\) −723172. + 692370.i −0.527387 + 0.504924i
\(286\) 247802. 0.179139
\(287\) −586527. 3.32636e6i −0.420323 2.38377i
\(288\) −100636. + 84443.2i −0.0714941 + 0.0599907i
\(289\) 633945. 230737.i 0.446485 0.162507i
\(290\) 1.61613e6 + 588224.i 1.12845 + 0.410722i
\(291\) 345288. + 289731.i 0.239028 + 0.200569i
\(292\) −258669. + 448028.i −0.177536 + 0.307502i
\(293\) −710989. 1.23147e6i −0.483831 0.838020i 0.515997 0.856591i \(-0.327422\pi\)
−0.999828 + 0.0185709i \(0.994088\pi\)
\(294\) −269991. + 1.53120e6i −0.182172 + 1.03315i
\(295\) −112190. + 636262.i −0.0750585 + 0.425678i
\(296\) −462248. 800636.i −0.306652 0.531136i
\(297\) 114280. 197938.i 0.0751757 0.130208i
\(298\) 1.27048e6 + 1.06606e6i 0.828754 + 0.695407i
\(299\) 1.61380e6 + 587377.i 1.04393 + 0.379961i
\(300\) 65062.6 23680.8i 0.0417376 0.0151913i
\(301\) −3.06545e6 + 2.57222e6i −1.95020 + 1.63641i
\(302\) −144080. 817116.i −0.0909044 0.515545i
\(303\) 550130. 0.344238
\(304\) −178147. + 361300.i −0.110559 + 0.224225i
\(305\) 1.01056e6 0.622034
\(306\) 76925.8 + 436268.i 0.0469643 + 0.266348i
\(307\) 1.13881e6 955574.i 0.689612 0.578653i −0.229185 0.973383i \(-0.573606\pi\)
0.918797 + 0.394730i \(0.129162\pi\)
\(308\) −199131. + 72477.6i −0.119608 + 0.0435339i
\(309\) −282713. 102899.i −0.168442 0.0613077i
\(310\) 219106. + 183852.i 0.129494 + 0.108659i
\(311\) −1.24960e6 + 2.16437e6i −0.732606 + 1.26891i 0.223159 + 0.974782i \(0.428363\pi\)
−0.955766 + 0.294129i \(0.904970\pi\)
\(312\) −369408. 639834.i −0.214843 0.372118i
\(313\) 356981. 2.02454e6i 0.205961 1.16806i −0.689960 0.723848i \(-0.742372\pi\)
0.895920 0.444215i \(-0.146517\pi\)
\(314\) 52881.9 299908.i 0.0302679 0.171658i
\(315\) −878097. 1.52091e6i −0.498616 0.863628i
\(316\) 246553. 427042.i 0.138897 0.240577i
\(317\) 546100. + 458232.i 0.305228 + 0.256116i 0.782516 0.622630i \(-0.213936\pi\)
−0.477289 + 0.878747i \(0.658380\pi\)
\(318\) 24557.3 + 8938.11i 0.0136180 + 0.00495653i
\(319\) −390907. + 142279.i −0.215079 + 0.0782822i
\(320\) 186398. 156407.i 0.101758 0.0853849i
\(321\) 264716. + 1.50128e6i 0.143390 + 0.813204i
\(322\) −1.46863e6 −0.789357
\(323\) 754755. + 1.12942e6i 0.402531 + 0.602353i
\(324\) −182648. −0.0966615
\(325\) −75623.4 428882.i −0.0397144 0.225231i
\(326\) 1.41807e6 1.18991e6i 0.739018 0.620109i
\(327\) 530316. 193019.i 0.274262 0.0998232i
\(328\) −881530. 320851.i −0.452431 0.164671i
\(329\) 798081. + 669670.i 0.406497 + 0.341092i
\(330\) −73137.8 + 126678.i −0.0369707 + 0.0640351i
\(331\) 1.70042e6 + 2.94521e6i 0.853073 + 1.47757i 0.878421 + 0.477887i \(0.158597\pi\)
−0.0253479 + 0.999679i \(0.508069\pi\)
\(332\) 104040. 590038.i 0.0518028 0.293788i
\(333\) −321805. + 1.82504e6i −0.159031 + 0.901909i
\(334\) 1.16960e6 + 2.02580e6i 0.573680 + 0.993643i
\(335\) 222729. 385779.i 0.108434 0.187813i
\(336\) 483993. + 406118.i 0.233879 + 0.196247i
\(337\) −1.62407e6 591114.i −0.778988 0.283528i −0.0782371 0.996935i \(-0.524929\pi\)
−0.700750 + 0.713407i \(0.747151\pi\)
\(338\) −2.97119e6 + 1.08143e6i −1.41462 + 0.514879i
\(339\) −726234. + 609382.i −0.343224 + 0.287999i
\(340\) −142483. 808061.i −0.0668445 0.379094i
\(341\) −69182.8 −0.0322190
\(342\) 739093. 325261.i 0.341691 0.150372i
\(343\) −4.49020e6 −2.06078
\(344\) 192994. + 1.09452e6i 0.0879323 + 0.498689i
\(345\) −776581. + 651629.i −0.351268 + 0.294749i
\(346\) −681550. + 248064.i −0.306061 + 0.111397i
\(347\) 1.13917e6 + 414626.i 0.507887 + 0.184856i 0.583238 0.812301i \(-0.301786\pi\)
−0.0753512 + 0.997157i \(0.524008\pi\)
\(348\) 950111. + 797238.i 0.420558 + 0.352890i
\(349\) 772696. 1.33835e6i 0.339582 0.588174i −0.644772 0.764375i \(-0.723048\pi\)
0.984354 + 0.176201i \(0.0563809\pi\)
\(350\) 186210. + 322526.i 0.0812519 + 0.140732i
\(351\) −744289. + 4.22108e6i −0.322459 + 1.82875i
\(352\) −10220.1 + 57961.1i −0.00439642 + 0.0249333i
\(353\) −1.66237e6 2.87931e6i −0.710053 1.22985i −0.964837 0.262850i \(-0.915338\pi\)
0.254784 0.966998i \(-0.417996\pi\)
\(354\) −232962. + 403501.i −0.0988044 + 0.171134i
\(355\) −1.34449e6 1.12816e6i −0.566221 0.475116i
\(356\) 125553. + 45697.7i 0.0525053 + 0.0191104i
\(357\) 2.00205e6 728686.i 0.831389 0.302601i
\(358\) 406848. 341386.i 0.167774 0.140779i
\(359\) −262421. 1.48826e6i −0.107464 0.609457i −0.990208 0.139603i \(-0.955417\pi\)
0.882744 0.469855i \(-0.155694\pi\)
\(360\) −487760. −0.198358
\(361\) 1.67261e6 1.82577e6i 0.675502 0.737358i
\(362\) 2.76630e6 1.10950
\(363\) 293380. + 1.66384e6i 0.116860 + 0.662744i
\(364\) 3.04424e6 2.55442e6i 1.20428 1.01051i
\(365\) −1.80496e6 + 656953.i −0.709147 + 0.258108i
\(366\) 684825. + 249256.i 0.267225 + 0.0972618i
\(367\) −546125. 458253.i −0.211654 0.177599i 0.530797 0.847499i \(-0.321893\pi\)
−0.742451 + 0.669900i \(0.766337\pi\)
\(368\) −203946. + 353246.i −0.0785049 + 0.135974i
\(369\) 940240. + 1.62854e6i 0.359478 + 0.622635i
\(370\) 596051. 3.38037e6i 0.226349 1.28369i
\(371\) −24409.2 + 138431.i −0.00920700 + 0.0522155i
\(372\) 103134. + 178633.i 0.0386406 + 0.0669274i
\(373\) −114112. + 197648.i −0.0424678 + 0.0735564i −0.886478 0.462771i \(-0.846855\pi\)
0.844010 + 0.536327i \(0.180189\pi\)
\(374\) 152035. + 127573.i 0.0562037 + 0.0471605i
\(375\) −1.62680e6 592107.i −0.597387 0.217431i
\(376\) 271902. 98964.2i 0.0991843 0.0361001i
\(377\) 5.97606e6 5.01451e6i 2.16552 1.81709i
\(378\) −636487. 3.60970e6i −0.229119 1.29940i
\(379\) −3.66205e6 −1.30956 −0.654781 0.755819i \(-0.727239\pi\)
−0.654781 + 0.755819i \(0.727239\pi\)
\(380\) −1.36896e6 + 602453.i −0.486330 + 0.214025i
\(381\) 1.23046e6 0.434267
\(382\) 145969. + 827830.i 0.0511802 + 0.290257i
\(383\) −2.23198e6 + 1.87285e6i −0.777486 + 0.652389i −0.942614 0.333884i \(-0.891641\pi\)
0.165128 + 0.986272i \(0.447196\pi\)
\(384\) 164894. 60016.4i 0.0570658 0.0207702i
\(385\) −739344. 269099.i −0.254211 0.0925253i
\(386\) 588699. + 493977.i 0.201106 + 0.168748i
\(387\) 1.11394e6 1.92940e6i 0.378080 0.654854i
\(388\) 336682. + 583150.i 0.113538 + 0.196653i
\(389\) −97862.5 + 555006.i −0.0327901 + 0.185962i −0.996804 0.0798916i \(-0.974543\pi\)
0.964013 + 0.265853i \(0.0856537\pi\)
\(390\) 476338. 2.70145e6i 0.158582 0.899363i
\(391\) 687734. + 1.19119e6i 0.227498 + 0.394039i
\(392\) −1.16137e6 + 2.01155e6i −0.381730 + 0.661175i
\(393\) −2.31419e6 1.94184e6i −0.755820 0.634208i
\(394\) 569951. + 207445.i 0.184968 + 0.0673229i
\(395\) 1.72042e6 626182.i 0.554807 0.201933i
\(396\) 90376.8 75835.1i 0.0289614 0.0243015i
\(397\) 621837. + 3.52661e6i 0.198016 + 1.12300i 0.908058 + 0.418845i \(0.137565\pi\)
−0.710042 + 0.704160i \(0.751324\pi\)
\(398\) 1.13404e6 0.358857
\(399\) −2.15778e6 3.22892e6i −0.678538 1.01537i
\(400\) 103435. 0.0323234
\(401\) −62814.5 356239.i −0.0195074 0.110632i 0.973499 0.228690i \(-0.0734442\pi\)
−0.993007 + 0.118058i \(0.962333\pi\)
\(402\) 246088. 206493.i 0.0759497 0.0637294i
\(403\) 1.21915e6 443734.i 0.373934 0.136101i
\(404\) 772276. + 281086.i 0.235407 + 0.0856811i
\(405\) −519491. 435905.i −0.157377 0.132055i
\(406\) −3.33564e6 + 5.77750e6i −1.00430 + 1.73950i
\(407\) 415126. + 719020.i 0.124221 + 0.215157i
\(408\) 102752. 582738.i 0.0305592 0.173310i
\(409\) 308723. 1.75086e6i 0.0912559 0.517538i −0.904575 0.426315i \(-0.859811\pi\)
0.995831 0.0912226i \(-0.0290775\pi\)
\(410\) −1.74152e6 3.01641e6i −0.511646 0.886198i
\(411\) 2.05452e6 3.55853e6i 0.599936 1.03912i
\(412\) −344299. 288901.i −0.0999293 0.0838506i
\(413\) −2.35499e6 857146.i −0.679381 0.247275i
\(414\) 768333. 279650.i 0.220317 0.0801889i
\(415\) 1.70408e6 1.42990e6i 0.485703 0.407553i
\(416\) −191659. 1.08695e6i −0.0542995 0.307948i
\(417\) 2.83501e6 0.798390
\(418\) 159986. 324469.i 0.0447860 0.0908307i
\(419\) −6.03219e6 −1.67857 −0.839286 0.543690i \(-0.817027\pi\)
−0.839286 + 0.543690i \(0.817027\pi\)
\(420\) 407346. + 2.31017e6i 0.112678 + 0.639030i
\(421\) −3.93080e6 + 3.29833e6i −1.08087 + 0.906961i −0.995993 0.0894298i \(-0.971496\pi\)
−0.0848813 + 0.996391i \(0.527051\pi\)
\(422\) 517703. 188428.i 0.141514 0.0515069i
\(423\) −545042. 198379.i −0.148108 0.0539069i
\(424\) 29906.8 + 25094.8i 0.00807896 + 0.00677905i
\(425\) 174398. 302066.i 0.0468348 0.0811203i
\(426\) −632852. 1.09613e6i −0.168958 0.292644i
\(427\) −680695. + 3.86041e6i −0.180669 + 1.02462i
\(428\) −395460. + 2.24277e6i −0.104350 + 0.591799i
\(429\) 331751. + 574610.i 0.0870300 + 0.150740i
\(430\) −2.06325e6 + 3.57366e6i −0.538123 + 0.932056i
\(431\) 1.63329e6 + 1.37049e6i 0.423516 + 0.355372i 0.829499 0.558509i \(-0.188626\pi\)
−0.405983 + 0.913881i \(0.633071\pi\)
\(432\) −956618. 348181.i −0.246621 0.0897626i
\(433\) 1.17148e6 426383.i 0.300272 0.109290i −0.187491 0.982266i \(-0.560035\pi\)
0.487762 + 0.872976i \(0.337813\pi\)
\(434\) −849911. + 713160.i −0.216595 + 0.181745i
\(435\) 799648. + 4.53503e6i 0.202617 + 1.14910i
\(436\) 843084. 0.212400
\(437\) 1.81101e6 1.73387e6i 0.453647 0.434324i
\(438\) −1.38520e6 −0.345006
\(439\) −234694. 1.33102e6i −0.0581220 0.329626i 0.941858 0.336012i \(-0.109078\pi\)
−0.999980 + 0.00638606i \(0.997967\pi\)
\(440\) −167397. + 140463.i −0.0412208 + 0.0345883i
\(441\) 4.37526e6 1.59247e6i 1.07129 0.389918i
\(442\) −3.49743e6 1.27296e6i −0.851516 0.309927i
\(443\) −420466. 352812.i −0.101794 0.0854151i 0.590470 0.807059i \(-0.298942\pi\)
−0.692264 + 0.721644i \(0.743387\pi\)
\(444\) 1.23769e6 2.14375e6i 0.297958 0.516079i
\(445\) 248040. + 429617.i 0.0593774 + 0.102845i
\(446\) −173841. + 985901.i −0.0413823 + 0.234691i
\(447\) −771117. + 4.37322e6i −0.182537 + 1.03522i
\(448\) 471929. + 817405.i 0.111092 + 0.192416i
\(449\) −3.65962e6 + 6.33864e6i −0.856682 + 1.48382i 0.0183932 + 0.999831i \(0.494145\pi\)
−0.875076 + 0.483986i \(0.839188\pi\)
\(450\) −158832. 133276.i −0.0369749 0.0310256i
\(451\) 791667. + 288143.i 0.183274 + 0.0667063i
\(452\) −1.33085e6 + 484391.i −0.306397 + 0.111519i
\(453\) 1.70186e6 1.42803e6i 0.389654 0.326958i
\(454\) −974474. 5.52651e6i −0.221886 1.25838i
\(455\) 1.47548e7 3.34122
\(456\) −1.07629e6 + 70608.2i −0.242391 + 0.0159017i
\(457\) 5.17857e6 1.15990 0.579949 0.814653i \(-0.303073\pi\)
0.579949 + 0.814653i \(0.303073\pi\)
\(458\) 374158. + 2.12195e6i 0.0833472 + 0.472685i
\(459\) −2.62973e6 + 2.20660e6i −0.582612 + 0.488869i
\(460\) −1.42312e6 + 517972.i −0.313578 + 0.114133i
\(461\) −971580. 353626.i −0.212925 0.0774983i 0.233356 0.972391i \(-0.425029\pi\)
−0.446280 + 0.894893i \(0.647252\pi\)
\(462\) −434655. 364718.i −0.0947413 0.0794974i
\(463\) 1.11614e6 1.93322e6i 0.241973 0.419110i −0.719303 0.694697i \(-0.755539\pi\)
0.961276 + 0.275586i \(0.0888720\pi\)
\(464\) 926429. + 1.60462e6i 0.199764 + 0.346002i
\(465\) −132987. + 754207.i −0.0285218 + 0.161755i
\(466\) 528651. 2.99813e6i 0.112773 0.639566i
\(467\) 1.02378e6 + 1.77324e6i 0.217227 + 0.376248i 0.953959 0.299937i \(-0.0969655\pi\)
−0.736732 + 0.676185i \(0.763632\pi\)
\(468\) −1.10623e6 + 1.91605e6i −0.233470 + 0.404382i
\(469\) 1.32367e6 + 1.11069e6i 0.277874 + 0.233164i
\(470\) 1.00953e6 + 367440.i 0.210803 + 0.0767259i
\(471\) 766232. 278886.i 0.159151 0.0579261i
\(472\) −533200. + 447408.i −0.110163 + 0.0924376i
\(473\) −173320. 982949.i −0.0356203 0.202013i
\(474\) 1.32032e6 0.269918
\(475\) −610397. 177875.i −0.124131 0.0361727i
\(476\) 3.18281e6 0.643863
\(477\) −13589.5 77069.9i −0.00273469 0.0155092i
\(478\) 2.42528e6 2.03505e6i 0.485503 0.407386i
\(479\) 702796. 255797.i 0.139956 0.0509397i −0.271093 0.962553i \(-0.587385\pi\)
0.411048 + 0.911614i \(0.365163\pi\)
\(480\) 612227. + 222832.i 0.121286 + 0.0441443i
\(481\) −1.19272e7 1.00081e7i −2.35058 1.97237i
\(482\) −857635. + 1.48547e6i −0.168145 + 0.291236i
\(483\) −1.96617e6 3.40551e6i −0.383489 0.664223i
\(484\) −438281. + 2.48562e6i −0.0850432 + 0.482304i
\(485\) −434139. + 2.46212e6i −0.0838058 + 0.475286i
\(486\) 1.68811e6 + 2.92389e6i 0.324197 + 0.561526i
\(487\) −3.52691e6 + 6.10878e6i −0.673863 + 1.16717i 0.302937 + 0.953011i \(0.402033\pi\)
−0.976800 + 0.214155i \(0.931300\pi\)
\(488\) 834006. + 699814.i 0.158533 + 0.133025i
\(489\) 4.65767e6 + 1.69525e6i 0.880839 + 0.320599i
\(490\) −8.10392e6 + 2.94959e6i −1.52477 + 0.554972i
\(491\) −4.88516e6 + 4.09914e6i −0.914482 + 0.767342i −0.972966 0.230946i \(-0.925818\pi\)
0.0584841 + 0.998288i \(0.481373\pi\)
\(492\) −436174. 2.47366e6i −0.0812356 0.460710i
\(493\) 6.24808e6 1.15779
\(494\) −738180. + 6.74398e6i −0.136096 + 1.24337i
\(495\) 438038. 0.0803523
\(496\) 53508.5 + 303462.i 0.00976605 + 0.0553860i
\(497\) 5.21525e6 4.37611e6i 0.947074 0.794690i
\(498\) 1.50748e6 548679.i 0.272382 0.0991390i
\(499\) −8.25409e6 3.00424e6i −1.48395 0.540112i −0.532098 0.846683i \(-0.678596\pi\)
−0.951848 + 0.306571i \(0.900818\pi\)
\(500\) −1.98118e6 1.66241e6i −0.354404 0.297381i
\(501\) −3.13165e6 + 5.42418e6i −0.557416 + 0.965473i
\(502\) −3.34500e6 5.79372e6i −0.592430 1.02612i
\(503\) 1.25858e6 7.13779e6i 0.221800 1.25789i −0.646908 0.762568i \(-0.723938\pi\)
0.868708 0.495324i \(-0.164951\pi\)
\(504\) 328545. 1.86327e6i 0.0576127 0.326738i
\(505\) 1.52569e6 + 2.64257e6i 0.266218 + 0.461103i
\(506\) 183156. 317236.i 0.0318013 0.0550815i
\(507\) −6.48541e6 5.44190e6i −1.12051 0.940223i
\(508\) 1.72734e6 + 628699.i 0.296973 + 0.108090i
\(509\) 5.62003e6 2.04552e6i 0.961489 0.349953i 0.186872 0.982384i \(-0.440165\pi\)
0.774617 + 0.632431i \(0.217943\pi\)
\(510\) 1.68300e6 1.41221e6i 0.286523 0.240421i
\(511\) −1.29381e6 7.33757e6i −0.219189 1.24308i
\(512\) 262144. 0.0441942
\(513\) 5.04650e6 + 3.69979e6i 0.846637 + 0.620702i
\(514\) 2.63129e6 0.439299
\(515\) −289775. 1.64339e6i −0.0481440 0.273038i
\(516\) −2.27964e6 + 1.91284e6i −0.376914 + 0.316268i
\(517\) −244184. + 88875.9i −0.0401783 + 0.0146237i
\(518\) 1.25117e7 + 4.55389e6i 2.04877 + 0.745690i
\(519\) −1.48766e6 1.24830e6i −0.242430 0.203423i
\(520\) 2.04898e6 3.54893e6i 0.332299 0.575558i
\(521\) −1.58670e6 2.74825e6i −0.256095 0.443569i 0.709098 0.705110i \(-0.249103\pi\)
−0.965192 + 0.261541i \(0.915769\pi\)
\(522\) 644956. 3.65773e6i 0.103599 0.587537i
\(523\) 337234. 1.91255e6i 0.0539109 0.305744i −0.945915 0.324415i \(-0.894832\pi\)
0.999826 + 0.0186713i \(0.00594360\pi\)
\(524\) −2.25651e6 3.90839e6i −0.359012 0.621828i
\(525\) −498588. + 863580.i −0.0789485 + 0.136743i
\(526\) −4.85200e6 4.07131e6i −0.764639 0.641609i
\(527\) 976434. + 355393.i 0.153150 + 0.0557419i
\(528\) −148084. + 53898.3i −0.0231166 + 0.00841377i
\(529\) −2.98576e6 + 2.50535e6i −0.463891 + 0.389251i
\(530\) 25170.7 + 142750.i 0.00389229 + 0.0220743i
\(531\) 1.39526e6 0.214742
\(532\) −1.37930e6 5.63529e6i −0.211291 0.863252i
\(533\) −1.57990e7 −2.40886
\(534\) 62122.8 + 352316.i 0.00942752 + 0.0534661i
\(535\) −6.47731e6 + 5.43511e6i −0.978386 + 0.820964i
\(536\) 450967. 164139.i 0.0678005 0.0246774i
\(537\) 1.33629e6 + 486371.i 0.199971 + 0.0727833i
\(538\) 69967.9 + 58710.0i 0.0104218 + 0.00874494i
\(539\) 1.04298e6 1.80650e6i 0.154634 0.267834i
\(540\) −1.88987e6 3.27335e6i −0.278899 0.483067i
\(541\) 1.63081e6 9.24880e6i 0.239558 1.35860i −0.593240 0.805025i \(-0.702152\pi\)
0.832799 0.553576i \(-0.186737\pi\)
\(542\) −188955. + 1.07162e6i −0.0276287 + 0.156690i
\(543\) 3.70346e6 + 6.41458e6i 0.539024 + 0.933616i
\(544\) 441992. 765552.i 0.0640349 0.110912i
\(545\) 2.39791e6 + 2.01209e6i 0.345814 + 0.290172i
\(546\) 9.99883e6 + 3.63928e6i 1.43538 + 0.522437i
\(547\) −1.03873e6 + 378066.i −0.148434 + 0.0540255i −0.415169 0.909744i \(-0.636277\pi\)
0.266735 + 0.963770i \(0.414055\pi\)
\(548\) 4.70236e6 3.94575e6i 0.668904 0.561277i
\(549\) −378968. 2.14924e6i −0.0536627 0.304336i
\(550\) −92890.8 −0.0130938
\(551\) −2.70767e6 1.10625e7i −0.379941 1.55229i
\(552\) −1.09216e6 −0.152559
\(553\) 1.23321e6 + 6.99388e6i 0.171484 + 0.972536i
\(554\) −6.92310e6 + 5.80917e6i −0.958354 + 0.804155i
\(555\) 8.63648e6 3.14342e6i 1.19016 0.433182i
\(556\) 3.97982e6 + 1.44853e6i 0.545979 + 0.198720i
\(557\) −8.38261e6 7.03385e6i −1.14483 0.960627i −0.145245 0.989396i \(-0.546397\pi\)
−0.999586 + 0.0287682i \(0.990842\pi\)
\(558\) 308845. 534935.i 0.0419908 0.0727303i
\(559\) 9.35886e6 + 1.62100e7i 1.26676 + 2.19409i
\(560\) −608535. + 3.45117e6i −0.0820003 + 0.465047i
\(561\) −92278.0 + 523334.i −0.0123792 + 0.0702056i
\(562\) 2.05148e6 + 3.55327e6i 0.273985 + 0.474556i
\(563\) −1.29466e6 + 2.24242e6i −0.172142 + 0.298158i −0.939168 0.343457i \(-0.888402\pi\)
0.767027 + 0.641615i \(0.221735\pi\)
\(564\) 593497. + 498003.i 0.0785635 + 0.0659226i
\(565\) −4.94127e6 1.79848e6i −0.651205 0.237019i
\(566\) −1.21267e6 + 441376.i −0.159111 + 0.0579118i
\(567\) 2.01510e6 1.69087e6i 0.263232 0.220878i
\(568\) −328341. 1.86211e6i −0.0427025 0.242178i
\(569\) 1.79026e6 0.231812 0.115906 0.993260i \(-0.463023\pi\)
0.115906 + 0.993260i \(0.463023\pi\)
\(570\) −3.22971e6 2.36783e6i −0.416368 0.305255i
\(571\) 4.81010e6 0.617396 0.308698 0.951160i \(-0.400107\pi\)
0.308698 + 0.951160i \(0.400107\pi\)
\(572\) 172121. + 976148.i 0.0219960 + 0.124746i
\(573\) −1.72418e6 + 1.44676e6i −0.219379 + 0.184081i
\(574\) 1.26959e7 4.62093e6i 1.60836 0.585396i
\(575\) −604950. 220184.i −0.0763044 0.0277725i
\(576\) −402542. 337773.i −0.0505540 0.0424198i
\(577\) −7.08400e6 + 1.22698e7i −0.885807 + 1.53426i −0.0410201 + 0.999158i \(0.513061\pi\)
−0.844786 + 0.535104i \(0.820273\pi\)
\(578\) 1.34926e6 + 2.33699e6i 0.167987 + 0.290963i
\(579\) −357312. + 2.02642e6i −0.0442946 + 0.251207i
\(580\) −1.19460e6 + 6.77489e6i −0.147452 + 0.836243i
\(581\) 4.31445e6 + 7.47284e6i 0.530255 + 0.918428i
\(582\) −901484. + 1.56142e6i −0.110319 + 0.191078i
\(583\) −26858.1 22536.6i −0.00327269 0.00274611i
\(584\) −1.94455e6 707760.i −0.235933 0.0858724i
\(585\) −7.71917e6 + 2.80955e6i −0.932569 + 0.339427i
\(586\) 4.35719e6 3.65612e6i 0.524158 0.439821i
\(587\) 1.62101e6 + 9.19318e6i 0.194173 + 1.10121i 0.913591 + 0.406634i \(0.133298\pi\)
−0.719418 + 0.694577i \(0.755591\pi\)
\(588\) −6.21927e6 −0.741815
\(589\) 206090. 1.88283e6i 0.0244775 0.223626i
\(590\) −2.58431e6 −0.305643
\(591\) 282007. + 1.59934e6i 0.0332117 + 0.188353i
\(592\) 2.83282e6 2.37702e6i 0.332211 0.278758i
\(593\) −178930. + 65125.1i −0.0208952 + 0.00760522i −0.352447 0.935832i \(-0.614650\pi\)
0.331551 + 0.943437i \(0.392428\pi\)
\(594\) 859101. + 312687.i 0.0999029 + 0.0363617i
\(595\) 9.05260e6 + 7.59603e6i 1.04829 + 0.879618i
\(596\) −3.31698e6 + 5.74517e6i −0.382496 + 0.662502i
\(597\) 1.51823e6 + 2.62965e6i 0.174342 + 0.301969i
\(598\) −1.19288e6 + 6.76513e6i −0.136409 + 0.773613i
\(599\) 2.39969e6 1.36093e7i 0.273268 1.54978i −0.471143 0.882057i \(-0.656159\pi\)
0.744411 0.667722i \(-0.232730\pi\)
\(600\) 138476. + 239848.i 0.0157035 + 0.0271993i
\(601\) 2.38093e6 4.12388e6i 0.268881 0.465715i −0.699692 0.714444i \(-0.746680\pi\)
0.968573 + 0.248729i \(0.0800129\pi\)
\(602\) −1.22618e7 1.02889e7i −1.37900 1.15712i
\(603\) −903987. 329025.i −0.101244 0.0368498i
\(604\) 3.11873e6 1.13513e6i 0.347845 0.126605i
\(605\) −7.17869e6 + 6.02363e6i −0.797364 + 0.669068i
\(606\) 382116. + 2.16709e6i 0.0422682 + 0.239715i
\(607\) 1.26279e7 1.39110 0.695552 0.718476i \(-0.255160\pi\)
0.695552 + 0.718476i \(0.255160\pi\)
\(608\) −1.54698e6 450804.i −0.169717 0.0494571i
\(609\) −1.78627e7 −1.95166
\(610\) 701931. + 3.98085e6i 0.0763782 + 0.433162i
\(611\) 3.73301e6 3.13237e6i 0.404535 0.339445i
\(612\) −1.66513e6 + 606057.i −0.179709 + 0.0654086i
\(613\) 3.01040e6 + 1.09570e6i 0.323574 + 0.117771i 0.498700 0.866775i \(-0.333811\pi\)
−0.175126 + 0.984546i \(0.556033\pi\)
\(614\) 4.55523e6 + 3.82230e6i 0.487629 + 0.409170i
\(615\) 4.66302e6 8.07659e6i 0.497141 0.861074i
\(616\) −423821. 734079.i −0.0450019 0.0779455i
\(617\) 609936. 3.45912e6i 0.0645017 0.365807i −0.935423 0.353531i \(-0.884981\pi\)
0.999925 0.0122766i \(-0.00390787\pi\)
\(618\) 208973. 1.18514e6i 0.0220099 0.124825i
\(619\) −6.17156e6 1.06895e7i −0.647394 1.12132i −0.983743 0.179581i \(-0.942526\pi\)
0.336350 0.941737i \(-0.390808\pi\)
\(620\) −572046. + 990813.i −0.0597657 + 0.103517i
\(621\) 4.85370e6 + 4.07274e6i 0.505061 + 0.423797i
\(622\) −9.39393e6 3.41911e6i −0.973580 0.354354i
\(623\) −1.80824e6 + 658144.i −0.186653 + 0.0679361i
\(624\) 2.26387e6 1.89961e6i 0.232750 0.195300i
\(625\) −1.88669e6 1.06999e7i −0.193197 1.09567i
\(626\) 8.22310e6 0.838686
\(627\) 966574. 63410.5i 0.0981898 0.00644158i
\(628\) 1.21814e6 0.123253
\(629\) −2.16540e6 1.22806e7i −0.218229 1.23764i
\(630\) 5.38129e6 4.51544e6i 0.540176 0.453261i
\(631\) −2.49947e6 + 909734.i −0.249905 + 0.0909580i −0.463936 0.885869i \(-0.653563\pi\)
0.214030 + 0.976827i \(0.431341\pi\)
\(632\) 1.85347e6 + 674609.i 0.184584 + 0.0671830i
\(633\) 1.13002e6 + 948200.i 0.112093 + 0.0940569i
\(634\) −1.42576e6 + 2.46950e6i −0.140872 + 0.243997i
\(635\) 3.41248e6 + 5.91058e6i 0.335842 + 0.581696i
\(636\) −18152.0 + 102945.i −0.00177943 + 0.0100917i
\(637\) −6.79282e6 + 3.85240e7i −0.663287 + 3.76169i
\(638\) −831990. 1.44105e6i −0.0809219 0.140161i
\(639\) −1.89514e6 + 3.28248e6i −0.183607 + 0.318017i
\(640\) 745594. + 625628.i 0.0719536 + 0.0603762i
\(641\) −7.69239e6 2.79980e6i −0.739463 0.269142i −0.0552981 0.998470i \(-0.517611\pi\)
−0.684165 + 0.729327i \(0.739833\pi\)
\(642\) −5.73002e6 + 2.08556e6i −0.548679 + 0.199703i
\(643\) 1.03104e7 8.65149e6i 0.983445 0.825209i −0.00116036 0.999999i \(-0.500369\pi\)
0.984606 + 0.174791i \(0.0559249\pi\)
\(644\) −1.02010e6 5.78528e6i −0.0969234 0.549680i
\(645\) −1.10489e7 −1.04573
\(646\) −3.92482e6 + 3.75764e6i −0.370031 + 0.354270i
\(647\) −3.71015e6 −0.348442 −0.174221 0.984707i \(-0.555741\pi\)
−0.174221 + 0.984707i \(0.555741\pi\)
\(648\) −126866. 719494.i −0.0118688 0.0673116i
\(649\) 478846. 401799.i 0.0446256 0.0374453i
\(650\) 1.63694e6 595796.i 0.151967 0.0553113i
\(651\) −2.79154e6 1.01604e6i −0.258161 0.0939630i
\(652\) 5.67229e6 + 4.75962e6i 0.522564 + 0.438484i
\(653\) −4.63005e6 + 8.01948e6i −0.424916 + 0.735976i −0.996413 0.0846286i \(-0.973030\pi\)
0.571497 + 0.820604i \(0.306363\pi\)
\(654\) 1.12870e6 + 1.95497e6i 0.103189 + 0.178729i
\(655\) 2.90969e6 1.65017e7i 0.264998 1.50288i
\(656\) 651600. 3.69541e6i 0.0591183 0.335276i
\(657\) 2.07406e6 + 3.59238e6i 0.187460 + 0.324690i
\(658\) −2.08364e6 + 3.60897e6i −0.187611 + 0.324952i
\(659\) 1.44252e7 + 1.21041e7i 1.29392 + 1.08573i 0.991162 + 0.132659i \(0.0423516\pi\)
0.302757 + 0.953068i \(0.402093\pi\)
\(660\) −549817. 200117.i −0.0491313 0.0178823i
\(661\) 1.82305e7 6.63535e6i 1.62291 0.590691i 0.638976 0.769227i \(-0.279358\pi\)
0.983933 + 0.178536i \(0.0571361\pi\)
\(662\) −1.04208e7 + 8.74407e6i −0.924177 + 0.775477i
\(663\) −1.73050e6 9.81414e6i −0.152893 0.867099i
\(664\) 2.39656e6 0.210944
\(665\) 9.52604e6 1.93198e7i 0.835330 1.69414i
\(666\) −7.41280e6 −0.647584
\(667\) −2.00253e6 1.13569e7i −0.174287 0.988429i
\(668\) −7.16770e6 + 6.01441e6i −0.621496 + 0.521497i
\(669\) −2.51887e6 + 916794.i −0.217591 + 0.0791966i
\(670\) 1.67438e6 + 609424.i 0.144101 + 0.0524484i
\(671\) −748988. 628476.i −0.0642198 0.0538868i
\(672\) −1.26361e6 + 2.18864e6i −0.107942 + 0.186961i
\(673\) 4.02411e6 + 6.96996e6i 0.342478 + 0.593189i 0.984892 0.173169i \(-0.0554006\pi\)
−0.642415 + 0.766357i \(0.722067\pi\)
\(674\) 1.20047e6 6.80818e6i 0.101789 0.577273i
\(675\) 279004. 1.58231e6i 0.0235695 0.133669i
\(676\) −6.32376e6 1.09531e7i −0.532241 0.921869i
\(677\) 4.79235e6 8.30059e6i 0.401862 0.696045i −0.592089 0.805873i \(-0.701697\pi\)
0.993951 + 0.109828i \(0.0350299\pi\)
\(678\) −2.90493e6 2.43753e6i −0.242696 0.203646i
\(679\) −9.11302e6 3.31687e6i −0.758556 0.276092i
\(680\) 3.08417e6 1.12255e6i 0.255780 0.0930962i
\(681\) 1.15104e7 9.65840e6i 0.951095 0.798064i
\(682\) −48053.9 272527.i −0.00395610 0.0224362i
\(683\) 1.10372e6 0.0905327 0.0452664 0.998975i \(-0.485586\pi\)
0.0452664 + 0.998975i \(0.485586\pi\)
\(684\) 1.79465e6 + 2.68553e6i 0.146669 + 0.219478i
\(685\) 2.27913e7 1.85585
\(686\) −3.11886e6 1.76880e7i −0.253038 1.43505i
\(687\) −4.41953e6 + 3.70843e6i −0.357260 + 0.299777i
\(688\) −4.17753e6 + 1.52050e6i −0.336472 + 0.122466i
\(689\) 617847. + 224878.i 0.0495830 + 0.0180467i
\(690\) −3.10632e6 2.60652e6i −0.248384 0.208419i
\(691\) 8.80676e6 1.52537e7i 0.701651 1.21529i −0.266236 0.963908i \(-0.585780\pi\)
0.967887 0.251387i \(-0.0808865\pi\)
\(692\) −1.45058e6 2.51248e6i −0.115153 0.199452i
\(693\) −295053. + 1.67333e6i −0.0233382 + 0.132357i
\(694\) −842044. + 4.77547e6i −0.0663645 + 0.376372i
\(695\) 7.86241e6 + 1.36181e7i 0.617438 + 1.06943i
\(696\) −2.48056e6 + 4.29646e6i −0.194101 + 0.336192i
\(697\) −9.69325e6 8.13360e6i −0.755766 0.634163i
\(698\) 5.80877e6 + 2.11422e6i 0.451280 + 0.164252i
\(699\) 7.65990e6 2.78797e6i 0.592966 0.215822i
\(700\) −1.14116e6 + 957550.i −0.0880243 + 0.0738612i
\(701\) −1.89653e6 1.07557e7i −0.145769 0.826695i −0.966747 0.255736i \(-0.917682\pi\)
0.820978 0.570960i \(-0.193429\pi\)
\(702\) −1.71448e7 −1.31307
\(703\) −2.08049e7 + 9.15587e6i −1.58773 + 0.698733i
\(704\) −235421. −0.0179025
\(705\) 499509. + 2.83286e6i 0.0378504 + 0.214660i
\(706\) 1.01876e7 8.54840e6i 0.769236 0.645466i
\(707\) −1.11224e7 + 4.04823e6i −0.836856 + 0.304591i
\(708\) −1.75130e6 637421.i −0.131304 0.0477906i
\(709\) 1.27321e7 + 1.06835e7i 0.951229 + 0.798176i 0.979504 0.201424i \(-0.0645570\pi\)
−0.0282752 + 0.999600i \(0.509001\pi\)
\(710\) 3.51021e6 6.07986e6i 0.261329 0.452634i
\(711\) −1.97691e6 3.42411e6i −0.146661 0.254024i
\(712\) −92805.3 + 526325.i −0.00686077 + 0.0389094i
\(713\) 333034. 1.88873e6i 0.0245338 0.139138i
\(714\) 4.26107e6 + 7.38039e6i 0.312805 + 0.541794i
\(715\) −1.84011e6 + 3.18716e6i −0.134610 + 0.233152i
\(716\) 1.62739e6 + 1.36554e6i 0.118634 + 0.0995458i
\(717\) 7.96585e6 + 2.89933e6i 0.578674 + 0.210620i
\(718\) 5.68033e6 2.06747e6i 0.411209 0.149668i
\(719\) −1.95637e7 + 1.64159e7i −1.41133 + 1.18425i −0.455531 + 0.890220i \(0.650551\pi\)
−0.955798 + 0.294026i \(0.905005\pi\)
\(720\) −338794. 1.92140e6i −0.0243559 0.138129i
\(721\) 6.47304e6 0.463735
\(722\) 8.35392e6 + 5.32063e6i 0.596413 + 0.379857i
\(723\) −4.59273e6 −0.326757
\(724\) 1.92145e6 + 1.08971e7i 0.136233 + 0.772617i
\(725\) −2.24018e6 + 1.87974e6i −0.158285 + 0.132817i
\(726\) −6.35048e6 + 2.31139e6i −0.447162 + 0.162754i
\(727\) 1.53921e7 + 5.60228e6i 1.08010 + 0.393123i 0.819944 0.572444i \(-0.194005\pi\)
0.260153 + 0.965567i \(0.416227\pi\)
\(728\) 1.21770e7 + 1.02177e7i 0.851551 + 0.714537i
\(729\) −5.90698e6 + 1.02312e7i −0.411668 + 0.713029i
\(730\) −3.84160e6 6.65385e6i −0.266812 0.462132i
\(731\) −2.60321e6 + 1.47635e7i −0.180184 + 1.02187i
\(732\) −506202. + 2.87081e6i −0.0349177 + 0.198028i
\(733\) −273482. 473685.i −0.0188005 0.0325634i 0.856472 0.516193i \(-0.172651\pi\)
−0.875273 + 0.483630i \(0.839318\pi\)
\(734\) 1.42583e6 2.46961e6i 0.0976850 0.169195i
\(735\) −1.76889e7 1.48428e7i −1.20777 1.01344i
\(736\) −1.53318e6 558030.i −0.104327 0.0379720i
\(737\) −404996. + 147406.i −0.0274651 + 0.00999649i
\(738\) −5.76212e6 + 4.83500e6i −0.389441 + 0.326780i
\(739\) −1.42324e6 8.07162e6i −0.0958668 0.543688i −0.994478 0.104942i \(-0.966534\pi\)
0.898611 0.438745i \(-0.144577\pi\)
\(740\) 1.37301e7 0.921709
\(741\) −1.66264e7 + 7.31698e6i −1.11238 + 0.489538i
\(742\) −562267. −0.0374915
\(743\) 2.35197e6 + 1.33387e7i 0.156300 + 0.886421i 0.957588 + 0.288142i \(0.0930376\pi\)
−0.801288 + 0.598279i \(0.795851\pi\)
\(744\) −632040. + 530345.i −0.0418613 + 0.0351258i
\(745\) −2.31455e7 + 8.42427e6i −1.52783 + 0.556086i
\(746\) −857843. 312229.i −0.0564366 0.0205412i
\(747\) −3.68010e6 3.08797e6i −0.241300 0.202475i
\(748\) −396935. + 687512.i −0.0259397 + 0.0449290i
\(749\) −1.63994e7 2.84047e7i −1.06813 1.85006i
\(750\) 1.20248e6 6.81961e6i 0.0780594 0.442697i
\(751\) −1.89543e6 + 1.07495e7i −0.122633 + 0.695486i 0.860053 + 0.510205i \(0.170431\pi\)
−0.982686 + 0.185281i \(0.940681\pi\)
\(752\) 578704. + 1.00234e6i 0.0373174 + 0.0646357i
\(753\) 8.95642e6 1.55130e7i 0.575635 0.997029i
\(754\) 2.39042e7 + 2.00580e7i 1.53125 + 1.28487i
\(755\) 1.15794e7 + 4.21456e6i 0.739297 + 0.269082i
\(756\) 1.37773e7 5.01454e6i 0.876720 0.319100i
\(757\) 1.19872e7 1.00585e7i 0.760290 0.637959i −0.177912 0.984046i \(-0.556934\pi\)
0.938202 + 0.346087i \(0.112490\pi\)
\(758\) −2.54363e6 1.44256e7i −0.160798 0.911932i
\(759\) 980821. 0.0617996
\(760\) −3.32407e6 4.97418e6i −0.208755 0.312383i
\(761\) 75073.8 0.00469923 0.00234961 0.999997i \(-0.499252\pi\)
0.00234961 + 0.999997i \(0.499252\pi\)
\(762\) 854672. + 4.84709e6i 0.0533227 + 0.302408i
\(763\) −9.30147e6 + 7.80486e6i −0.578416 + 0.485349i
\(764\) −3.15963e6 + 1.15001e6i −0.195840 + 0.0712801i
\(765\) −6.18238e6 2.25020e6i −0.381946 0.139017i
\(766\) −8.92791e6 7.49141e6i −0.549766 0.461308i
\(767\) −5.86118e6 + 1.01519e7i −0.359747 + 0.623099i
\(768\) 350952. +