Properties

Label 38.6.e.b.17.3
Level $38$
Weight $6$
Character 38.17
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 17.3
Character \(\chi\) \(=\) 38.17
Dual form 38.6.e.b.9.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.694593 - 3.93923i) q^{2} +(0.893216 + 0.749497i) q^{3} +(-15.0351 - 5.47232i) q^{4} +(61.2040 - 22.2764i) q^{5} +(3.57286 - 2.99799i) q^{6} +(-47.2621 - 81.8604i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(-41.9604 - 237.969i) q^{9} +O(q^{10})\) \(q+(0.694593 - 3.93923i) q^{2} +(0.893216 + 0.749497i) q^{3} +(-15.0351 - 5.47232i) q^{4} +(61.2040 - 22.2764i) q^{5} +(3.57286 - 2.99799i) q^{6} +(-47.2621 - 81.8604i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(-41.9604 - 237.969i) q^{9} +(-45.2401 - 256.570i) q^{10} +(229.131 - 396.867i) q^{11} +(-9.32808 - 16.1567i) q^{12} +(-754.074 + 632.744i) q^{13} +(-355.295 + 129.317i) q^{14} +(71.3645 + 25.9745i) q^{15} +(196.107 + 164.554i) q^{16} +(368.946 - 2092.40i) q^{17} -966.562 q^{18} +(1046.65 + 1175.00i) q^{19} -1042.11 q^{20} +(19.1389 - 108.542i) q^{21} +(-1404.20 - 1178.26i) q^{22} +(3613.00 + 1315.02i) q^{23} +(-70.1243 + 25.5231i) q^{24} +(855.796 - 718.098i) q^{25} +(1968.75 + 3409.97i) q^{26} +(282.548 - 489.387i) q^{27} +(262.624 + 1489.41i) q^{28} +(1273.95 + 7224.92i) q^{29} +(151.889 - 263.079i) q^{30} +(588.529 + 1019.36i) q^{31} +(784.430 - 658.215i) q^{32} +(502.114 - 182.754i) q^{33} +(-7986.17 - 2906.73i) q^{34} +(-4716.19 - 3957.35i) q^{35} +(-671.367 + 3807.51i) q^{36} +1760.46 q^{37} +(5355.60 - 3306.83i) q^{38} -1147.79 q^{39} +(-723.842 + 4105.11i) q^{40} +(1877.07 + 1575.05i) q^{41} +(-414.278 - 150.785i) q^{42} +(-1997.13 + 726.896i) q^{43} +(-5616.79 + 4713.04i) q^{44} +(-7869.25 - 13629.9i) q^{45} +(7689.74 - 13319.0i) q^{46} +(2211.05 + 12539.5i) q^{47} +(51.8338 + 293.964i) q^{48} +(3936.08 - 6817.49i) q^{49} +(-2234.33 - 3869.96i) q^{50} +(1897.79 - 1592.44i) q^{51} +(14800.1 - 5386.81i) q^{52} +(-31122.9 - 11327.8i) q^{53} +(-1731.55 - 1452.95i) q^{54} +(5182.96 - 29394.0i) q^{55} +6049.55 q^{56} +(54.2206 + 1833.99i) q^{57} +29345.5 q^{58} +(1603.84 - 9095.84i) q^{59} +(-930.829 - 781.059i) q^{60} +(-9675.48 - 3521.59i) q^{61} +(4424.29 - 1610.31i) q^{62} +(-17497.1 + 14681.8i) q^{63} +(-2048.00 - 3547.24i) q^{64} +(-32057.1 + 55524.5i) q^{65} +(-371.148 - 2104.88i) q^{66} +(4971.77 + 28196.3i) q^{67} +(-16997.4 + 29440.4i) q^{68} +(2241.58 + 3882.53i) q^{69} +(-18864.8 + 15829.4i) q^{70} +(64558.4 - 23497.3i) q^{71} +(14532.3 + 5289.34i) q^{72} +(27770.1 + 23301.9i) q^{73} +(1222.80 - 6934.87i) q^{74} +1302.62 q^{75} +(-9306.43 - 23393.8i) q^{76} -43316.9 q^{77} +(-797.247 + 4521.41i) q^{78} +(16838.8 + 14129.4i) q^{79} +(15668.2 + 5702.76i) q^{80} +(-54558.3 + 19857.6i) q^{81} +(7508.27 - 6300.18i) q^{82} +(51309.2 + 88870.2i) q^{83} +(-881.731 + 1527.20i) q^{84} +(-24030.2 - 136282. i) q^{85} +(1476.22 + 8372.05i) q^{86} +(-4277.15 + 7408.23i) q^{87} +(14664.4 + 25399.5i) q^{88} +(21649.6 - 18166.2i) q^{89} +(-59157.4 + 21531.5i) q^{90} +(87435.8 + 31824.0i) q^{91} +(-47125.5 - 39543.0i) q^{92} +(-238.326 + 1351.61i) q^{93} +50931.8 q^{94} +(90233.7 + 48599.2i) q^{95} +1193.99 q^{96} +(14026.6 - 79549.0i) q^{97} +(-24121.7 - 20240.5i) q^{98} +(-104057. - 37873.5i) 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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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
\(3\) 0.893216 + 0.749497i 0.0572998 + 0.0480803i 0.670988 0.741468i \(-0.265870\pi\)
−0.613688 + 0.789549i \(0.710315\pi\)
\(4\) −15.0351 5.47232i −0.469846 0.171010i
\(5\) 61.2040 22.2764i 1.09485 0.398493i 0.269434 0.963019i \(-0.413163\pi\)
0.825415 + 0.564526i \(0.190941\pi\)
\(6\) 3.57286 2.99799i 0.0405171 0.0339979i
\(7\) −47.2621 81.8604i −0.364559 0.631435i 0.624146 0.781308i \(-0.285447\pi\)
−0.988705 + 0.149872i \(0.952114\pi\)
\(8\) −32.0000 + 55.4256i −0.176777 + 0.306186i
\(9\) −41.9604 237.969i −0.172677 0.979298i
\(10\) −45.2401 256.570i −0.143062 0.811344i
\(11\) 229.131 396.867i 0.570955 0.988924i −0.425513 0.904952i \(-0.639906\pi\)
0.996468 0.0839713i \(-0.0267604\pi\)
\(12\) −9.32808 16.1567i −0.0186999 0.0323892i
\(13\) −754.074 + 632.744i −1.23753 + 1.03841i −0.239817 + 0.970818i \(0.577088\pi\)
−0.997713 + 0.0675931i \(0.978468\pi\)
\(14\) −355.295 + 129.317i −0.484473 + 0.176334i
\(15\) 71.3645 + 25.9745i 0.0818943 + 0.0298071i
\(16\) 196.107 + 164.554i 0.191511 + 0.160697i
\(17\) 368.946 2092.40i 0.309628 1.75599i −0.291248 0.956647i \(-0.594071\pi\)
0.600877 0.799342i \(-0.294818\pi\)
\(18\) −966.562 −0.703151
\(19\) 1046.65 + 1175.00i 0.665145 + 0.746715i
\(20\) −1042.11 −0.582557
\(21\) 19.1389 108.542i 0.00947039 0.0537093i
\(22\) −1404.20 1178.26i −0.618545 0.519021i
\(23\) 3613.00 + 1315.02i 1.42412 + 0.518339i 0.935241 0.354010i \(-0.115182\pi\)
0.488883 + 0.872349i \(0.337404\pi\)
\(24\) −70.1243 + 25.5231i −0.0248508 + 0.00904495i
\(25\) 855.796 718.098i 0.273855 0.229791i
\(26\) 1968.75 + 3409.97i 0.571159 + 0.989276i
\(27\) 282.548 489.387i 0.0745904 0.129194i
\(28\) 262.624 + 1489.41i 0.0633051 + 0.359021i
\(29\) 1273.95 + 7224.92i 0.281292 + 1.59528i 0.718239 + 0.695797i \(0.244949\pi\)
−0.436947 + 0.899487i \(0.643940\pi\)
\(30\) 151.889 263.079i 0.0308122 0.0533683i
\(31\) 588.529 + 1019.36i 0.109993 + 0.190513i 0.915767 0.401710i \(-0.131584\pi\)
−0.805774 + 0.592223i \(0.798251\pi\)
\(32\) 784.430 658.215i 0.135419 0.113630i
\(33\) 502.114 182.754i 0.0802634 0.0292135i
\(34\) −7986.17 2906.73i −1.18479 0.431228i
\(35\) −4716.19 3957.35i −0.650760 0.546053i
\(36\) −671.367 + 3807.51i −0.0863383 + 0.489649i
\(37\) 1760.46 0.211409 0.105704 0.994398i \(-0.466290\pi\)
0.105704 + 0.994398i \(0.466290\pi\)
\(38\) 5355.60 3306.83i 0.601657 0.371495i
\(39\) −1147.79 −0.120837
\(40\) −723.842 + 4105.11i −0.0715309 + 0.405672i
\(41\) 1877.07 + 1575.05i 0.174389 + 0.146330i 0.725805 0.687901i \(-0.241468\pi\)
−0.551415 + 0.834231i \(0.685912\pi\)
\(42\) −414.278 150.785i −0.0362384 0.0131897i
\(43\) −1997.13 + 726.896i −0.164716 + 0.0599516i −0.423062 0.906101i \(-0.639045\pi\)
0.258346 + 0.966052i \(0.416822\pi\)
\(44\) −5616.79 + 4713.04i −0.437377 + 0.367003i
\(45\) −7869.25 13629.9i −0.579298 1.00337i
\(46\) 7689.74 13319.0i 0.535818 0.928064i
\(47\) 2211.05 + 12539.5i 0.146001 + 0.828010i 0.966558 + 0.256447i \(0.0825519\pi\)
−0.820558 + 0.571564i \(0.806337\pi\)
\(48\) 51.8338 + 293.964i 0.00324720 + 0.0184158i
\(49\) 3936.08 6817.49i 0.234193 0.405634i
\(50\) −2234.33 3869.96i −0.126393 0.218918i
\(51\) 1897.79 1592.44i 0.102170 0.0857309i
\(52\) 14800.1 5386.81i 0.759028 0.276264i
\(53\) −31122.9 11327.8i −1.52191 0.553931i −0.560288 0.828298i \(-0.689310\pi\)
−0.961625 + 0.274366i \(0.911532\pi\)
\(54\) −1731.55 1452.95i −0.0808075 0.0678055i
\(55\) 5182.96 29394.0i 0.231031 1.31024i
\(56\) 6049.55 0.257782
\(57\) 54.2206 + 1833.99i 0.00221043 + 0.0747669i
\(58\) 29345.5 1.14544
\(59\) 1603.84 9095.84i 0.0599834 0.340183i −0.940016 0.341130i \(-0.889190\pi\)
1.00000 0.000947038i \(0.000301452\pi\)
\(60\) −930.829 781.059i −0.0333804 0.0280095i
\(61\) −9675.48 3521.59i −0.332926 0.121175i 0.170148 0.985419i \(-0.445575\pi\)
−0.503074 + 0.864243i \(0.667798\pi\)
\(62\) 4424.29 1610.31i 0.146172 0.0532023i
\(63\) −17497.1 + 14681.8i −0.555412 + 0.466046i
\(64\) −2048.00 3547.24i −0.0625000 0.108253i
\(65\) −32057.1 + 55524.5i −0.941110 + 1.63005i
\(66\) −371.148 2104.88i −0.0104879 0.0594796i
\(67\) 4971.77 + 28196.3i 0.135308 + 0.767371i 0.974645 + 0.223759i \(0.0718328\pi\)
−0.839336 + 0.543613i \(0.817056\pi\)
\(68\) −16997.4 + 29440.4i −0.445770 + 0.772096i
\(69\) 2241.58 + 3882.53i 0.0566802 + 0.0981730i
\(70\) −18864.8 + 15829.4i −0.460157 + 0.386118i
\(71\) 64558.4 23497.3i 1.51987 0.553188i 0.558755 0.829333i \(-0.311279\pi\)
0.961116 + 0.276145i \(0.0890569\pi\)
\(72\) 14532.3 + 5289.34i 0.330373 + 0.120246i
\(73\) 27770.1 + 23301.9i 0.609916 + 0.511780i 0.894616 0.446837i \(-0.147449\pi\)
−0.284700 + 0.958617i \(0.591894\pi\)
\(74\) 1222.80 6934.87i 0.0259584 0.147217i
\(75\) 1302.62 0.0267403
\(76\) −9306.43 23393.8i −0.184820 0.464588i
\(77\) −43316.9 −0.832589
\(78\) −797.247 + 4521.41i −0.0148374 + 0.0841468i
\(79\) 16838.8 + 14129.4i 0.303559 + 0.254717i 0.781824 0.623499i \(-0.214290\pi\)
−0.478265 + 0.878216i \(0.658734\pi\)
\(80\) 15668.2 + 5702.76i 0.273712 + 0.0996232i
\(81\) −54558.3 + 19857.6i −0.923949 + 0.336290i
\(82\) 7508.27 6300.18i 0.123312 0.103471i
\(83\) 51309.2 + 88870.2i 0.817524 + 1.41599i 0.907502 + 0.420049i \(0.137987\pi\)
−0.0899778 + 0.995944i \(0.528680\pi\)
\(84\) −881.731 + 1527.20i −0.0136345 + 0.0236156i
\(85\) −24030.2 136282.i −0.360752 2.04593i
\(86\) 1476.22 + 8372.05i 0.0215231 + 0.122063i
\(87\) −4277.15 + 7408.23i −0.0605837 + 0.104934i
\(88\) 14664.4 + 25399.5i 0.201863 + 0.349637i
\(89\) 21649.6 18166.2i 0.289717 0.243102i −0.486332 0.873774i \(-0.661665\pi\)
0.776049 + 0.630673i \(0.217221\pi\)
\(90\) −59157.4 + 21531.5i −0.769844 + 0.280200i
\(91\) 87435.8 + 31824.0i 1.10684 + 0.402858i
\(92\) −47125.5 39543.0i −0.580478 0.487079i
\(93\) −238.326 + 1351.61i −0.00285735 + 0.0162048i
\(94\) 50931.8 0.594524
\(95\) 90233.7 + 48599.2i 1.02579 + 0.552485i
\(96\) 1193.99 0.0132228
\(97\) 14026.6 79549.0i 0.151365 0.858431i −0.810670 0.585504i \(-0.800897\pi\)
0.962034 0.272928i \(-0.0879921\pi\)
\(98\) −24121.7 20240.5i −0.253713 0.212890i
\(99\) −104057. 37873.5i −1.06704 0.388371i
\(100\) −16796.6 + 6113.47i −0.167966 + 0.0611347i
\(101\) 4906.25 4116.83i 0.0478571 0.0401569i −0.618545 0.785749i \(-0.712278\pi\)
0.666402 + 0.745592i \(0.267833\pi\)
\(102\) −4954.79 8581.95i −0.0471547 0.0816743i
\(103\) 73465.7 127246.i 0.682325 1.18182i −0.291944 0.956435i \(-0.594302\pi\)
0.974269 0.225387i \(-0.0723645\pi\)
\(104\) −10939.8 62042.8i −0.0991807 0.562482i
\(105\) −1246.55 7069.54i −0.0110341 0.0625774i
\(106\) −66240.5 + 114732.i −0.572610 + 0.991790i
\(107\) −71742.0 124261.i −0.605779 1.04924i −0.991928 0.126803i \(-0.959528\pi\)
0.386149 0.922436i \(-0.373805\pi\)
\(108\) −6926.22 + 5811.79i −0.0571395 + 0.0479458i
\(109\) −94492.3 + 34392.4i −0.761781 + 0.277266i −0.693555 0.720404i \(-0.743956\pi\)
−0.0682267 + 0.997670i \(0.521734\pi\)
\(110\) −112190. 40833.7i −0.884039 0.321764i
\(111\) 1572.47 + 1319.46i 0.0121137 + 0.0101646i
\(112\) 4201.98 23830.6i 0.0316525 0.179510i
\(113\) −116363. −0.857272 −0.428636 0.903477i \(-0.641006\pi\)
−0.428636 + 0.903477i \(0.641006\pi\)
\(114\) 7262.17 + 1060.29i 0.0523364 + 0.00764120i
\(115\) 250424. 1.76576
\(116\) 20383.2 115599.i 0.140646 0.797642i
\(117\) 182215. + 152896.i 1.23061 + 1.03260i
\(118\) −34716.6 12635.8i −0.229526 0.0835407i
\(119\) −188722. + 68689.1i −1.22167 + 0.444652i
\(120\) −3723.32 + 3124.23i −0.0236035 + 0.0198057i
\(121\) −24476.5 42394.6i −0.151980 0.263237i
\(122\) −20592.9 + 35667.9i −0.125261 + 0.216959i
\(123\) 496.133 + 2813.71i 0.00295689 + 0.0167694i
\(124\) −3270.30 18546.8i −0.0191000 0.108322i
\(125\) −65387.1 + 113254.i −0.374298 + 0.648303i
\(126\) 45681.8 + 79123.2i 0.256340 + 0.443994i
\(127\) 369.239 309.828i 0.00203141 0.00170456i −0.641771 0.766896i \(-0.721800\pi\)
0.643803 + 0.765191i \(0.277356\pi\)
\(128\) −15395.9 + 5603.66i −0.0830579 + 0.0302306i
\(129\) −2328.67 847.568i −0.0123207 0.00448436i
\(130\) 196457. + 164847.i 1.01955 + 0.855506i
\(131\) 15925.1 90315.6i 0.0810781 0.459817i −0.917056 0.398758i \(-0.869441\pi\)
0.998134 0.0610585i \(-0.0194476\pi\)
\(132\) −8549.41 −0.0427072
\(133\) 46719.4 141212.i 0.229017 0.692218i
\(134\) 114525. 0.550984
\(135\) 6391.25 36246.6i 0.0301822 0.171172i
\(136\) 104166. + 87405.8i 0.482925 + 0.405222i
\(137\) −220933. 80412.9i −1.00568 0.366037i −0.213906 0.976854i \(-0.568619\pi\)
−0.791771 + 0.610818i \(0.790841\pi\)
\(138\) 16851.2 6133.32i 0.0753238 0.0274156i
\(139\) 58101.2 48752.7i 0.255063 0.214024i −0.506286 0.862366i \(-0.668982\pi\)
0.761349 + 0.648342i \(0.224537\pi\)
\(140\) 49252.4 + 85307.6i 0.212377 + 0.367847i
\(141\) −7423.38 + 12857.7i −0.0314452 + 0.0544646i
\(142\) −47719.6 270631.i −0.198599 1.12631i
\(143\) 78332.9 + 444248.i 0.320335 + 1.81671i
\(144\) 30930.0 53572.3i 0.124301 0.215295i
\(145\) 238916. + 413815.i 0.943681 + 1.63450i
\(146\) 111080. 93207.4i 0.431276 0.361883i
\(147\) 8625.46 3139.41i 0.0329222 0.0119827i
\(148\) −26468.7 9633.82i −0.0993295 0.0361530i
\(149\) 105168. + 88246.4i 0.388077 + 0.325635i 0.815864 0.578245i \(-0.196262\pi\)
−0.427786 + 0.903880i \(0.640706\pi\)
\(150\) 904.793 5131.33i 0.00328338 0.0186210i
\(151\) −85090.8 −0.303697 −0.151848 0.988404i \(-0.548523\pi\)
−0.151848 + 0.988404i \(0.548523\pi\)
\(152\) −98617.9 + 20411.0i −0.346216 + 0.0716564i
\(153\) −513408. −1.77310
\(154\) −30087.6 + 170635.i −0.102232 + 0.579785i
\(155\) 58728.0 + 49278.7i 0.196343 + 0.164752i
\(156\) 17257.1 + 6281.08i 0.0567750 + 0.0206644i
\(157\) 76207.3 27737.2i 0.246744 0.0898076i −0.215687 0.976462i \(-0.569199\pi\)
0.462432 + 0.886655i \(0.346977\pi\)
\(158\) 67355.2 56517.8i 0.214649 0.180112i
\(159\) −19309.3 33444.7i −0.0605722 0.104914i
\(160\) 33347.5 57759.6i 0.102983 0.178371i
\(161\) −63109.6 357912.i −0.191880 1.08821i
\(162\) 40327.9 + 228711.i 0.120731 + 0.684698i
\(163\) −242574. + 420150.i −0.715113 + 1.23861i 0.247803 + 0.968811i \(0.420292\pi\)
−0.962916 + 0.269802i \(0.913042\pi\)
\(164\) −19602.7 33952.9i −0.0569123 0.0985750i
\(165\) 26660.2 22370.6i 0.0762349 0.0639687i
\(166\) 385719. 140390.i 1.08643 0.395428i
\(167\) −316216. 115093.i −0.877391 0.319344i −0.136235 0.990677i \(-0.543500\pi\)
−0.741157 + 0.671332i \(0.765722\pi\)
\(168\) 5403.56 + 4534.12i 0.0147709 + 0.0123942i
\(169\) 103789. 588619.i 0.279535 1.58532i
\(170\) −553537. −1.46901
\(171\) 235697. 298373.i 0.616401 0.780315i
\(172\) 34004.8 0.0876434
\(173\) −18634.1 + 105679.i −0.0473362 + 0.268457i −0.999285 0.0377993i \(-0.987965\pi\)
0.951949 + 0.306256i \(0.0990763\pi\)
\(174\) 26211.9 + 21994.4i 0.0656334 + 0.0550730i
\(175\) −99230.6 36117.0i −0.244935 0.0891490i
\(176\) 110240. 40124.1i 0.268261 0.0976391i
\(177\) 8249.88 6922.47i 0.0197931 0.0166084i
\(178\) −56523.1 97900.8i −0.133714 0.231599i
\(179\) −133125. + 230580.i −0.310547 + 0.537884i −0.978481 0.206337i \(-0.933846\pi\)
0.667934 + 0.744221i \(0.267179\pi\)
\(180\) 43727.4 + 247990.i 0.100594 + 0.570497i
\(181\) −7372.37 41810.8i −0.0167267 0.0948619i 0.975302 0.220878i \(-0.0708921\pi\)
−0.992028 + 0.126016i \(0.959781\pi\)
\(182\) 186095. 322325.i 0.416443 0.721300i
\(183\) −6002.87 10397.3i −0.0132505 0.0229505i
\(184\) −188502. + 158172.i −0.410460 + 0.344417i
\(185\) 107747. 39216.8i 0.231461 0.0842447i
\(186\) 5158.77 + 1877.64i 0.0109336 + 0.00397951i
\(187\) −745866. 625855.i −1.55976 1.30879i
\(188\) 35376.9 200632.i 0.0730003 0.414005i
\(189\) −53415.3 −0.108770
\(190\) 254119. 321695.i 0.510686 0.646488i
\(191\) 950028. 1.88431 0.942157 0.335172i \(-0.108795\pi\)
0.942157 + 0.335172i \(0.108795\pi\)
\(192\) 829.340 4703.42i 0.00162360 0.00920790i
\(193\) −97917.8 82162.8i −0.189221 0.158775i 0.543256 0.839567i \(-0.317191\pi\)
−0.732477 + 0.680792i \(0.761636\pi\)
\(194\) −303619. 110508.i −0.579195 0.210810i
\(195\) −70249.3 + 25568.7i −0.132299 + 0.0481528i
\(196\) −96486.8 + 80962.0i −0.179402 + 0.150536i
\(197\) 362741. + 628285.i 0.665933 + 1.15343i 0.979031 + 0.203709i \(0.0652997\pi\)
−0.313098 + 0.949721i \(0.601367\pi\)
\(198\) −221469. + 383596.i −0.401468 + 0.695362i
\(199\) −23383.7 132616.i −0.0418582 0.237390i 0.956700 0.291077i \(-0.0940137\pi\)
−0.998558 + 0.0536874i \(0.982903\pi\)
\(200\) 12415.6 + 70412.2i 0.0219478 + 0.124472i
\(201\) −16692.2 + 28911.7i −0.0291423 + 0.0504759i
\(202\) −12809.3 22186.4i −0.0220875 0.0382567i
\(203\) 531225. 445751.i 0.904771 0.759193i
\(204\) −37247.8 + 13557.1i −0.0626651 + 0.0228082i
\(205\) 149970. + 54584.7i 0.249242 + 0.0907165i
\(206\) −450224. 377783.i −0.739197 0.620260i
\(207\) 161332. 914961.i 0.261695 1.48415i
\(208\) −252000. −0.403870
\(209\) 706138. 146150.i 1.11821 0.231436i
\(210\) −28714.4 −0.0449315
\(211\) −168150. + 953626.i −0.260010 + 1.47459i 0.522866 + 0.852415i \(0.324863\pi\)
−0.782876 + 0.622177i \(0.786248\pi\)
\(212\) 405946. + 340629.i 0.620338 + 0.520525i
\(213\) 75275.8 + 27398.1i 0.113686 + 0.0413782i
\(214\) −539324. + 196298.i −0.805035 + 0.293009i
\(215\) −106040. + 88977.8i −0.156449 + 0.131276i
\(216\) 18083.1 + 31320.8i 0.0263717 + 0.0456771i
\(217\) 55630.3 96354.5i 0.0801977 0.138906i
\(218\) 69845.9 + 396116.i 0.0995405 + 0.564522i
\(219\) 7340.00 + 41627.2i 0.0103415 + 0.0586498i
\(220\) −238780. + 413579.i −0.332614 + 0.576105i
\(221\) 1.04574e6 + 1.81127e6i 1.44026 + 2.49461i
\(222\) 6289.89 5277.85i 0.00856566 0.00718744i
\(223\) −792913. + 288597.i −1.06773 + 0.388624i −0.815329 0.578998i \(-0.803444\pi\)
−0.252406 + 0.967622i \(0.581222\pi\)
\(224\) −90955.6 33105.1i −0.121118 0.0440834i
\(225\) −206795. 173522.i −0.272323 0.228506i
\(226\) −80824.9 + 458381.i −0.105263 + 0.596974i
\(227\) −1.22573e6 −1.57881 −0.789406 0.613872i \(-0.789611\pi\)
−0.789406 + 0.613872i \(0.789611\pi\)
\(228\) 9220.97 27870.9i 0.0117473 0.0355070i
\(229\) 887407. 1.11824 0.559119 0.829087i \(-0.311140\pi\)
0.559119 + 0.829087i \(0.311140\pi\)
\(230\) 173942. 986477.i 0.216813 1.22961i
\(231\) −38691.3 32465.9i −0.0477072 0.0400311i
\(232\) −441212. 160588.i −0.538180 0.195881i
\(233\) −426095. + 155086.i −0.514181 + 0.187147i −0.586061 0.810267i \(-0.699322\pi\)
0.0718802 + 0.997413i \(0.477100\pi\)
\(234\) 728859. 611586.i 0.870170 0.730159i
\(235\) 414661. + 718213.i 0.489805 + 0.848367i
\(236\) −73889.2 + 127980.i −0.0863577 + 0.149576i
\(237\) 4450.72 + 25241.3i 0.00514706 + 0.0291904i
\(238\) 139497. + 791130.i 0.159633 + 0.905326i
\(239\) 85448.3 148001.i 0.0967629 0.167598i −0.813580 0.581453i \(-0.802484\pi\)
0.910343 + 0.413855i \(0.135818\pi\)
\(240\) 9720.89 + 16837.1i 0.0108938 + 0.0188686i
\(241\) 141188. 118471.i 0.156587 0.131392i −0.561128 0.827729i \(-0.689633\pi\)
0.717715 + 0.696337i \(0.245188\pi\)
\(242\) −184003. + 66971.8i −0.201970 + 0.0735112i
\(243\) −192653. 70119.8i −0.209295 0.0761772i
\(244\) 126200. + 105895.i 0.135702 + 0.113867i
\(245\) 89034.4 504939.i 0.0947638 0.537432i
\(246\) 11428.5 0.0120407
\(247\) −1.53272e6 223780.i −1.59853 0.233388i
\(248\) −75331.7 −0.0777765
\(249\) −20777.7 + 117836.i −0.0212373 + 0.120443i
\(250\) 400716. + 336240.i 0.405496 + 0.340251i
\(251\) 378743. + 137851.i 0.379455 + 0.138110i 0.524704 0.851285i \(-0.324176\pi\)
−0.145249 + 0.989395i \(0.546398\pi\)
\(252\) 343415. 124993.i 0.340657 0.123989i
\(253\) 1.34974e6 1.13256e6i 1.32571 1.11240i
\(254\) −964.013 1669.72i −0.000937559 0.00162390i
\(255\) 80678.7 139740.i 0.0776977 0.134576i
\(256\) 11380.2 + 64540.4i 0.0108530 + 0.0615505i
\(257\) −21374.0 121218.i −0.0201861 0.114481i 0.973050 0.230595i \(-0.0740673\pi\)
−0.993236 + 0.116114i \(0.962956\pi\)
\(258\) −4956.25 + 8584.47i −0.00463557 + 0.00802905i
\(259\) −83203.2 144112.i −0.0770710 0.133491i
\(260\) 785829. 659388.i 0.720932 0.604934i
\(261\) 1.66585e6 606321.i 1.51369 0.550936i
\(262\) −344713. 125465.i −0.310244 0.112920i
\(263\) 625650. + 524982.i 0.557753 + 0.468010i 0.877556 0.479474i \(-0.159172\pi\)
−0.319803 + 0.947484i \(0.603617\pi\)
\(264\) −5938.36 + 33678.1i −0.00524393 + 0.0297398i
\(265\) −2.15719e6 −1.88700
\(266\) −523816. 282124.i −0.453915 0.244475i
\(267\) 32953.2 0.0282892
\(268\) 79548.4 451141.i 0.0676541 0.383686i
\(269\) −966597. 811071.i −0.814450 0.683405i 0.137215 0.990541i \(-0.456185\pi\)
−0.951666 + 0.307136i \(0.900629\pi\)
\(270\) −138344. 50353.2i −0.115492 0.0420357i
\(271\) −1.09575e6 + 398821.i −0.906336 + 0.329879i −0.752789 0.658262i \(-0.771292\pi\)
−0.153547 + 0.988141i \(0.549070\pi\)
\(272\) 416665. 349623.i 0.341479 0.286535i
\(273\) 54247.1 + 93958.7i 0.0440524 + 0.0763010i
\(274\) −470223. + 814451.i −0.378380 + 0.655373i
\(275\) −88899.7 504175.i −0.0708874 0.402022i
\(276\) −12455.9 70640.8i −0.00984242 0.0558191i
\(277\) −837383. + 1.45039e6i −0.655730 + 1.13576i 0.325981 + 0.945376i \(0.394306\pi\)
−0.981710 + 0.190381i \(0.939028\pi\)
\(278\) −151691. 262737.i −0.117720 0.203896i
\(279\) 217882. 182825.i 0.167576 0.140613i
\(280\) 370257. 134762.i 0.282233 0.102724i
\(281\) 1.51775e6 + 552415.i 1.14666 + 0.417349i 0.844313 0.535850i \(-0.180009\pi\)
0.302344 + 0.953199i \(0.402231\pi\)
\(282\) 45493.1 + 38173.2i 0.0340661 + 0.0285849i
\(283\) 407104. 2.30880e6i 0.302161 1.71364i −0.334413 0.942427i \(-0.608538\pi\)
0.636574 0.771216i \(-0.280351\pi\)
\(284\) −1.09923e6 −0.808707
\(285\) 44173.2 + 111040.i 0.0322142 + 0.0809777i
\(286\) 1.80441e6 1.30442
\(287\) 40219.7 228098.i 0.0288227 0.163462i
\(288\) −189550. 159051.i −0.134661 0.112994i
\(289\) −2.90778e6 1.05834e6i −2.04794 0.745388i
\(290\) 1.79606e6 653713.i 1.25408 0.456449i
\(291\) 72150.6 60541.5i 0.0499468 0.0419103i
\(292\) −290010. 502312.i −0.199047 0.344760i
\(293\) 20898.9 36197.9i 0.0142218 0.0246329i −0.858827 0.512266i \(-0.828806\pi\)
0.873049 + 0.487633i \(0.162140\pi\)
\(294\) −6375.68 36158.3i −0.00430188 0.0243972i
\(295\) −104461. 592429.i −0.0698876 0.396352i
\(296\) −56334.8 + 97574.7i −0.0373721 + 0.0647304i
\(297\) −129481. 224268.i −0.0851755 0.147528i
\(298\) 420672. 352986.i 0.274412 0.230259i
\(299\) −3.55654e6 + 1.29447e6i −2.30065 + 0.837367i
\(300\) −19585.1 7128.38i −0.0125638 0.00457285i
\(301\) 153893. + 129131.i 0.0979042 + 0.0821514i
\(302\) −59103.5 + 335192.i −0.0372903 + 0.211484i
\(303\) 7467.89 0.00467295
\(304\) 11904.2 + 402656.i 0.00738784 + 0.249891i
\(305\) −670626. −0.412791
\(306\) −356609. + 2.02243e6i −0.217715 + 1.23472i
\(307\) 1.09572e6 + 919421.i 0.663522 + 0.556761i 0.911140 0.412097i \(-0.135203\pi\)
−0.247618 + 0.968858i \(0.579648\pi\)
\(308\) 651273. + 237044.i 0.391189 + 0.142381i
\(309\) 160991. 58596.1i 0.0959194 0.0349118i
\(310\) 234912. 197115.i 0.138836 0.116497i
\(311\) 457391. + 792224.i 0.268155 + 0.464459i 0.968385 0.249458i \(-0.0802526\pi\)
−0.700230 + 0.713917i \(0.746919\pi\)
\(312\) 36729.3 63617.0i 0.0213612 0.0369987i
\(313\) 316003. + 1.79214e6i 0.182318 + 1.03398i 0.929353 + 0.369193i \(0.120366\pi\)
−0.747034 + 0.664786i \(0.768523\pi\)
\(314\) −56330.1 319464.i −0.0322416 0.182851i
\(315\) −743835. + 1.28836e6i −0.422377 + 0.731578i
\(316\) −175852. 304585.i −0.0990672 0.171589i
\(317\) −464501. + 389762.i −0.259620 + 0.217847i −0.763302 0.646042i \(-0.776423\pi\)
0.503682 + 0.863889i \(0.331978\pi\)
\(318\) −145158. + 52833.3i −0.0804960 + 0.0292982i
\(319\) 3.15923e6 + 1.14987e6i 1.73822 + 0.632660i
\(320\) −204365. 171483.i −0.111566 0.0936152i
\(321\) 29052.0 164762.i 0.0157367 0.0892473i
\(322\) −1.45373e6 −0.781350
\(323\) 2.84473e6 1.75649e6i 1.51717 0.936783i
\(324\) 928955. 0.491623
\(325\) −190962. + 1.08300e6i −0.100286 + 0.568748i
\(326\) 1.48658e6 + 1.24739e6i 0.774718 + 0.650066i
\(327\) −110179. 40101.9i −0.0569809 0.0207394i
\(328\) −147364. + 53636.1i −0.0756322 + 0.0275279i
\(329\) 921990. 773642.i 0.469609 0.394049i
\(330\) −69604.9 120559.i −0.0351848 0.0609419i
\(331\) 289554. 501523.i 0.145265 0.251606i −0.784207 0.620499i \(-0.786930\pi\)
0.929472 + 0.368893i \(0.120263\pi\)
\(332\) −285112. 1.61695e6i −0.141961 0.805104i
\(333\) −73869.7 418936.i −0.0365053 0.207032i
\(334\) −673021. + 1.16571e6i −0.330113 + 0.571772i
\(335\) 932405. + 1.61497e6i 0.453934 + 0.786237i
\(336\) 21614.2 18136.5i 0.0104446 0.00876406i
\(337\) 795881. 289677.i 0.381745 0.138944i −0.144018 0.989575i \(-0.546002\pi\)
0.525763 + 0.850631i \(0.323780\pi\)
\(338\) −2.24662e6 817701.i −1.06964 0.389317i
\(339\) −103937. 87213.7i −0.0491216 0.0412179i
\(340\) −384483. + 2.18051e6i −0.180376 + 1.02296i
\(341\) 539401. 0.251204
\(342\) −1.01165e6 1.13571e6i −0.467697 0.525053i
\(343\) −2.33278e6 −1.07063
\(344\) 23619.5 133953.i 0.0107615 0.0610317i
\(345\) 223682. + 187692.i 0.101178 + 0.0848980i
\(346\) 403352. + 146808.i 0.181131 + 0.0659264i
\(347\) −337451. + 122822.i −0.150448 + 0.0547587i −0.416147 0.909297i \(-0.636620\pi\)
0.265698 + 0.964056i \(0.414398\pi\)
\(348\) 104847. 87977.5i 0.0464098 0.0389425i
\(349\) −200079. 346547.i −0.0879301 0.152299i 0.818706 0.574213i \(-0.194692\pi\)
−0.906636 + 0.421914i \(0.861359\pi\)
\(350\) −211198. + 365806.i −0.0921552 + 0.159617i
\(351\) 96594.5 + 547815.i 0.0418490 + 0.237337i
\(352\) −81486.2 462131.i −0.0350532 0.198796i
\(353\) 1.11224e6 1.92646e6i 0.475076 0.822855i −0.524517 0.851400i \(-0.675754\pi\)
0.999593 + 0.0285448i \(0.00908732\pi\)
\(354\) −21538.9 37306.5i −0.00913515 0.0158225i
\(355\) 3.42779e6 2.87626e6i 1.44359 1.21132i
\(356\) −424914. + 154656.i −0.177695 + 0.0646759i
\(357\) −220052. 80092.2i −0.0913806 0.0332598i
\(358\) 815839. + 684570.i 0.336432 + 0.282300i
\(359\) 82596.7 468429.i 0.0338241 0.191826i −0.963214 0.268736i \(-0.913394\pi\)
0.997038 + 0.0769096i \(0.0245053\pi\)
\(360\) 1.00726e6 0.409625
\(361\) −285161. + 2.45962e6i −0.115165 + 0.993346i
\(362\) −169823. −0.0681123
\(363\) 9911.80 56212.6i 0.00394808 0.0223907i
\(364\) −1.14045e6 956954.i −0.451153 0.378563i
\(365\) 2.21872e6 + 807548.i 0.871707 + 0.317275i
\(366\) −45126.8 + 16424.8i −0.0176089 + 0.00640912i
\(367\) −2.72009e6 + 2.28243e6i −1.05419 + 0.884569i −0.993528 0.113589i \(-0.963765\pi\)
−0.0606609 + 0.998158i \(0.519321\pi\)
\(368\) 492143. + 852417.i 0.189440 + 0.328120i
\(369\) 296050. 512774.i 0.113188 0.196047i
\(370\) −79643.6 451681.i −0.0302445 0.171525i
\(371\) 543635. + 3.08311e6i 0.205056 + 1.16293i
\(372\) 10979.7 19017.4i 0.00411370 0.00712514i
\(373\) 969719. + 1.67960e6i 0.360889 + 0.625078i 0.988107 0.153765i \(-0.0491400\pi\)
−0.627218 + 0.778843i \(0.715807\pi\)
\(374\) −2.98346e6 + 2.50342e6i −1.10291 + 0.925454i
\(375\) −143288. + 52152.6i −0.0526178 + 0.0191513i
\(376\) −765764. 278715.i −0.279335 0.101670i
\(377\) −5.53217e6 4.64204e6i −2.00467 1.68212i
\(378\) −37101.9 + 210415.i −0.0133557 + 0.0757439i
\(379\) 2.12461e6 0.759768 0.379884 0.925034i \(-0.375964\pi\)
0.379884 + 0.925034i \(0.375964\pi\)
\(380\) −1.09072e6 1.22448e6i −0.387485 0.435004i
\(381\) 562.025 0.000198355
\(382\) 659883. 3.74238e6i 0.231371 1.31217i
\(383\) −3.55175e6 2.98027e6i −1.23722 1.03815i −0.997736 0.0672454i \(-0.978579\pi\)
−0.239479 0.970902i \(-0.576977\pi\)
\(384\) −17951.8 6533.92i −0.00621270 0.00226124i
\(385\) −2.65117e6 + 964945.i −0.911559 + 0.331780i
\(386\) −391671. + 328651.i −0.133799 + 0.112271i
\(387\) 256779. + 444755.i 0.0871530 + 0.150953i
\(388\) −646210. + 1.11927e6i −0.217919 + 0.377446i
\(389\) −571737. 3.24248e6i −0.191568 1.08643i −0.917223 0.398375i \(-0.869574\pi\)
0.725655 0.688059i \(-0.241537\pi\)
\(390\) 51926.2 + 294488.i 0.0172872 + 0.0980407i
\(391\) 4.08455e6 7.07465e6i 1.35115 2.34026i
\(392\) 251909. + 436319.i 0.0827997 + 0.143413i
\(393\) 81915.8 68735.6i 0.0267539 0.0224492i
\(394\) 2.72692e6 992517.i 0.884976 0.322105i
\(395\) 1.34535e6 + 489669.i 0.433855 + 0.157910i
\(396\) 1.35724e6 + 1.13886e6i 0.434930 + 0.364950i
\(397\) 278981. 1.58218e6i 0.0888381 0.503826i −0.907624 0.419784i \(-0.862106\pi\)
0.996462 0.0840419i \(-0.0267830\pi\)
\(398\) −538646. −0.170449
\(399\) 147569. 91116.8i 0.0464047 0.0286527i
\(400\) 285994. 0.0893730
\(401\) −204961. + 1.16239e6i −0.0636518 + 0.360987i 0.936300 + 0.351200i \(0.114226\pi\)
−0.999952 + 0.00978690i \(0.996885\pi\)
\(402\) 102296. + 85836.3i 0.0315713 + 0.0264915i
\(403\) −1.08879e6 396287.i −0.333950 0.121548i
\(404\) −96294.5 + 35048.3i −0.0293527 + 0.0106835i
\(405\) −2.89683e6 + 2.43073e6i −0.877576 + 0.736374i
\(406\) −1.38693e6 2.40224e6i −0.417580 0.723270i
\(407\) 403377. 698669.i 0.120705 0.209067i
\(408\) 27532.5 + 156144.i 0.00818832 + 0.0464383i
\(409\) −293298. 1.66337e6i −0.0866962 0.491679i −0.996978 0.0776888i \(-0.975246\pi\)
0.910281 0.413990i \(-0.135865\pi\)
\(410\) 319190. 552853.i 0.0937756 0.162424i
\(411\) −137071. 237415.i −0.0400260 0.0693271i
\(412\) −1.80090e6 + 1.51113e6i −0.522691 + 0.438590i
\(413\) −820390. + 298598.i −0.236671 + 0.0861413i
\(414\) −3.49218e6 1.27105e6i −1.00137 0.364470i
\(415\) 5.12004e6 + 4.29622e6i 1.45933 + 1.22452i
\(416\) −175037. + 992685.i −0.0495903 + 0.281241i
\(417\) 88436.9 0.0249054
\(418\) −85238.5 2.88316e6i −0.0238613 0.807100i
\(419\) 1.08104e6 0.300821 0.150411 0.988624i \(-0.451940\pi\)
0.150411 + 0.988624i \(0.451940\pi\)
\(420\) −19944.8 + 113113.i −0.00551705 + 0.0312887i
\(421\) 4.28159e6 + 3.59268e6i 1.17733 + 0.987901i 0.999993 + 0.00375178i \(0.00119423\pi\)
0.177342 + 0.984149i \(0.443250\pi\)
\(422\) 3.63976e6 + 1.32476e6i 0.994927 + 0.362124i
\(423\) 2.89124e6 1.05233e6i 0.785658 0.285956i
\(424\) 1.62378e6 1.36252e6i 0.438645 0.368067i
\(425\) −1.18680e6 2.05561e6i −0.318718 0.552036i
\(426\) 160214. 277498.i 0.0427736 0.0740860i
\(427\) 169005. + 958477.i 0.0448570 + 0.254397i
\(428\) 398652. + 2.26087e6i 0.105192 + 0.596576i
\(429\) −262994. + 455520.i −0.0689927 + 0.119499i
\(430\) 276850. + 479518.i 0.0722059 + 0.125064i
\(431\) −4.56342e6 + 3.82916e6i −1.18331 + 0.992911i −0.183354 + 0.983047i \(0.558696\pi\)
−0.999951 + 0.00986449i \(0.996860\pi\)
\(432\) 135940. 49478.2i 0.0350460 0.0127557i
\(433\) −4.88251e6 1.77709e6i −1.25148 0.455501i −0.370578 0.928801i \(-0.620840\pi\)
−0.880901 + 0.473300i \(0.843063\pi\)
\(434\) −340922. 286068.i −0.0868822 0.0729028i
\(435\) −96749.3 + 548693.i −0.0245146 + 0.139029i
\(436\) 1.60891e6 0.405335
\(437\) 2.23638e6 + 5.62164e6i 0.560197 + 1.40818i
\(438\) 169077. 0.0421115
\(439\) 43615.8 247357.i 0.0108015 0.0612581i −0.978931 0.204193i \(-0.934543\pi\)
0.989732 + 0.142935i \(0.0456540\pi\)
\(440\) 1.46333e6 + 1.22788e6i 0.360338 + 0.302359i
\(441\) −1.78751e6 650601.i −0.437676 0.159301i
\(442\) 7.86138e6 2.86131e6i 1.91401 0.696641i
\(443\) −2.28588e6 + 1.91808e6i −0.553407 + 0.464364i −0.876093 0.482142i \(-0.839859\pi\)
0.322686 + 0.946506i \(0.395414\pi\)
\(444\) −16421.7 28443.3i −0.00395332 0.00684735i
\(445\) 920363. 1.59412e6i 0.220323 0.381610i
\(446\) 586097. + 3.32392e6i 0.139519 + 0.791250i
\(447\) 27797.3 + 157646.i 0.00658012 + 0.0373177i
\(448\) −193586. + 335300.i −0.0455699 + 0.0789294i
\(449\) −2.50655e6 4.34147e6i −0.586760 1.01630i −0.994654 0.103268i \(-0.967070\pi\)
0.407894 0.913029i \(-0.366263\pi\)
\(450\) −827180. + 694086.i −0.192561 + 0.161578i
\(451\) 1.05518e6 384053.i 0.244278 0.0889098i
\(452\) 1.74953e6 + 636776.i 0.402786 + 0.146602i
\(453\) −76004.5 63775.3i −0.0174018 0.0146018i
\(454\) −851383. + 4.82843e6i −0.193859 + 1.09943i
\(455\) 6.06034e6 1.37236
\(456\) −103385. 55682.4i −0.0232834 0.0125402i
\(457\) −6.93647e6 −1.55363 −0.776816 0.629728i \(-0.783166\pi\)
−0.776816 + 0.629728i \(0.783166\pi\)
\(458\) 616386. 3.49570e6i 0.137306 0.778701i
\(459\) −919748. 771760.i −0.203769 0.170982i
\(460\) −3.76514e6 1.37040e6i −0.829634 0.301962i
\(461\) −4.69143e6 + 1.70754e6i −1.02814 + 0.374213i −0.800373 0.599502i \(-0.795365\pi\)
−0.227769 + 0.973715i \(0.573143\pi\)
\(462\) −154765. + 129864.i −0.0337341 + 0.0283063i
\(463\) 1.32533e6 + 2.29553e6i 0.287323 + 0.497657i 0.973170 0.230088i \(-0.0739015\pi\)
−0.685847 + 0.727746i \(0.740568\pi\)
\(464\) −939056. + 1.62649e6i −0.202487 + 0.350717i
\(465\) 15522.6 + 88033.0i 0.00332914 + 0.0188805i
\(466\) 314956. + 1.78621e6i 0.0671871 + 0.381037i
\(467\) −3.84253e6 + 6.65546e6i −0.815314 + 1.41217i 0.0937876 + 0.995592i \(0.470103\pi\)
−0.909102 + 0.416574i \(0.863231\pi\)
\(468\) −1.90292e6 3.29595e6i −0.401611 0.695610i
\(469\) 2.07319e6 1.73961e6i 0.435218 0.365191i
\(470\) 3.11723e6 1.13458e6i 0.650914 0.236913i
\(471\) 88858.5 + 32341.8i 0.0184564 + 0.00671758i
\(472\) 452820. + 379961.i 0.0935557 + 0.0785025i
\(473\) −169124. + 959148.i −0.0347577 + 0.197121i
\(474\) 102523. 0.0209592
\(475\) 1.73948e6 + 253967.i 0.353742 + 0.0516468i
\(476\) 3.21334e6 0.650038
\(477\) −1.38974e6 + 7.88161e6i −0.279665 + 1.58606i
\(478\) −523658. 439401.i −0.104828 0.0879612i
\(479\) 6.31679e6 + 2.29913e6i 1.25793 + 0.457851i 0.883075 0.469231i \(-0.155469\pi\)
0.374859 + 0.927082i \(0.377691\pi\)
\(480\) 73077.2 26597.9i 0.0144770 0.00526920i
\(481\) −1.32752e6 + 1.11392e6i −0.261624 + 0.219529i
\(482\) −368615. 638460.i −0.0722696 0.125175i
\(483\) 211884. 366993.i 0.0413266 0.0715798i
\(484\) 136010. + 771350.i 0.0263911 + 0.149671i
\(485\) −913582. 5.18118e6i −0.176357 1.00017i
\(486\) −410033. + 710198.i −0.0787459 + 0.136392i
\(487\) −3.85138e6 6.67079e6i −0.735858 1.27454i −0.954346 0.298704i \(-0.903446\pi\)
0.218488 0.975840i \(-0.429888\pi\)
\(488\) 504801. 423579.i 0.0959558 0.0805164i
\(489\) −531572. + 193476.i −0.100529 + 0.0365894i
\(490\) −1.92723e6 701454.i −0.362613 0.131980i
\(491\) −1.57191e6 1.31899e6i −0.294256 0.246910i 0.483693 0.875238i \(-0.339295\pi\)
−0.777949 + 0.628328i \(0.783740\pi\)
\(492\) 7938.13 45019.4i 0.00147845 0.00838469i
\(493\) 1.55874e7 2.88840
\(494\) −1.94614e6 + 5.88232e6i −0.358804 + 1.08450i
\(495\) −7.21236e6 −1.32301
\(496\) −52324.9 + 296749.i −0.00955001 + 0.0541608i
\(497\) −4.97467e6 4.17424e6i −0.903386 0.758031i
\(498\) 449753. + 163697.i 0.0812644 + 0.0295778i
\(499\) −5.83214e6 + 2.12273e6i −1.04852 + 0.381630i −0.808104 0.589040i \(-0.799506\pi\)
−0.240416 + 0.970670i \(0.577284\pi\)
\(500\) 1.60286e6 1.34496e6i 0.286729 0.240594i
\(501\) −196187. 339807.i −0.0349202 0.0604836i
\(502\) 806100. 1.39621e6i 0.142768 0.247281i
\(503\) 491683. + 2.78847e6i 0.0866494 + 0.491413i 0.996988 + 0.0775499i \(0.0247097\pi\)
−0.910339 + 0.413863i \(0.864179\pi\)
\(504\) −253842. 1.43961e6i −0.0445130 0.252446i
\(505\) 208574. 361260.i 0.0363941 0.0630364i
\(506\) −3.52392e6 6.10360e6i −0.611856 1.05977i
\(507\) 533875. 447974.i 0.0922400 0.0773986i
\(508\) −7247.01 + 2637.70i −0.00124595 + 0.000453488i
\(509\) 6.23915e6 + 2.27087e6i 1.06741 + 0.388505i 0.815208 0.579169i \(-0.196623\pi\)
0.252203 + 0.967674i \(0.418845\pi\)
\(510\) −494428. 414874.i −0.0841739 0.0706303i
\(511\) 595027. 3.37457e6i 0.100806 0.571697i
\(512\) 262144. 0.0441942
\(513\) 870759. 180221.i 0.146085 0.0302352i
\(514\) −492351. −0.0821991
\(515\) 1.66180e6 9.42453e6i 0.276096 1.56582i
\(516\) 30373.6 + 25486.5i 0.00502195 + 0.00421392i
\(517\) 5.48313e6 + 1.99570e6i 0.902199 + 0.328374i
\(518\) −625484. + 227657.i −0.102422 + 0.0372784i
\(519\) −95850.5 + 80428.1i −0.0156198 + 0.0131066i
\(520\) −2.05165e6 3.55357e6i −0.332733 0.576310i
\(521\) 4.90782e6 8.50060e6i 0.792127 1.37200i −0.132521 0.991180i \(-0.542307\pi\)
0.924648 0.380823i \(-0.124359\pi\)
\(522\) −1.23135e6 6.98333e6i −0.197790 1.12172i
\(523\) −1.44645e6 8.20324e6i −0.231233 1.31139i −0.850403 0.526131i \(-0.823642\pi\)
0.619170 0.785257i \(-0.287469\pi\)
\(524\) −733671. + 1.27076e6i −0.116728 + 0.202178i
\(525\) −61564.8 106633.i −0.00974842 0.0168848i
\(526\) 2.50260e6 2.09993e6i 0.394391 0.330933i
\(527\) 2.35005e6 855347.i 0.368595 0.134158i
\(528\) 128541. + 46785.1i 0.0200658 + 0.00730337i
\(529\) 6.39393e6 + 5.36515e6i 0.993411 + 0.833571i
\(530\) −1.49837e6 + 8.49765e6i −0.231701 + 1.31404i
\(531\) −2.23183e6 −0.343498
\(532\) −1.47519e6 + 1.86747e6i −0.225979 + 0.286072i
\(533\) −2.41205e6 −0.367763
\(534\) 22889.1 129810.i 0.00347356 0.0196996i
\(535\) −7.15898e6 6.00710e6i −1.08135 0.907361i
\(536\) −1.72190e6 626719.i −0.258878 0.0942238i
\(537\) −291728. + 106180.i −0.0436559 + 0.0158894i
\(538\) −3.86639e6 + 3.24428e6i −0.575903 + 0.483240i
\(539\) −1.80376e6 3.12420e6i −0.267427 0.463198i
\(540\) −294446. + 509996.i −0.0434532 + 0.0752631i
\(541\) −228946. 1.29842e6i −0.0336310 0.190731i 0.963364 0.268197i \(-0.0864280\pi\)
−0.996995 + 0.0774667i \(0.975317\pi\)
\(542\) 809947. + 4.59344e6i 0.118429 + 0.671645i
\(543\) 24751.9 42871.6i 0.00360255 0.00623979i
\(544\) −1.08783e6 1.88418e6i −0.157603 0.272977i
\(545\) −5.01716e6 + 4.20990e6i −0.723548 + 0.607129i
\(546\) 407804. 148429.i 0.0585424 0.0213077i
\(547\) 3.20789e6 + 1.16758e6i 0.458407 + 0.166847i 0.560894 0.827888i \(-0.310458\pi\)
−0.102486 + 0.994734i \(0.532680\pi\)
\(548\) 2.88170e6 + 2.41803e6i 0.409918 + 0.343962i
\(549\) −432043. + 2.45023e6i −0.0611780 + 0.346958i
\(550\) −2.04781e6 −0.288658
\(551\) −7.15592e6 + 9.05883e6i −1.00412 + 1.27114i
\(552\) −286922. −0.0400790
\(553\) 360804. 2.04622e6i 0.0501716 0.284537i
\(554\) 5.13178e6 + 4.30608e6i 0.710385 + 0.596084i
\(555\) 125634. + 45727.2i 0.0173132 + 0.00630147i
\(556\) −1.14035e6 + 415052.i −0.156441 + 0.0569398i
\(557\) 1.89207e6 1.58764e6i 0.258404 0.216827i −0.504377 0.863483i \(-0.668278\pi\)
0.762781 + 0.646657i \(0.223833\pi\)
\(558\) −568850. 985276.i −0.0773414 0.133959i
\(559\) 1.04605e6 1.81180e6i 0.141586 0.245235i
\(560\) −273683. 1.55213e6i −0.0368788 0.209150i
\(561\) −197142. 1.11805e6i −0.0264467 0.149987i
\(562\) 3.23031e6 5.59506e6i 0.431423 0.747246i
\(563\) 4.17313e6 + 7.22808e6i 0.554870 + 0.961063i 0.997914 + 0.0645629i \(0.0205653\pi\)
−0.443044 + 0.896500i \(0.646101\pi\)
\(564\) 181972. 152693.i 0.0240884 0.0202126i
\(565\) −7.12188e6 + 2.59215e6i −0.938584 + 0.341617i
\(566\) −8.81213e6 3.20735e6i −1.15622 0.420829i
\(567\) 4.20409e6 + 3.52765e6i 0.549180 + 0.460817i
\(568\) −763514. + 4.33010e6i −0.0992993 + 0.563154i
\(569\) 6.16363e6 0.798097 0.399048 0.916930i \(-0.369341\pi\)
0.399048 + 0.916930i \(0.369341\pi\)
\(570\) 468093. 96881.3i 0.0603455 0.0124897i
\(571\) 8.79609e6 1.12901 0.564507 0.825428i \(-0.309066\pi\)
0.564507 + 0.825428i \(0.309066\pi\)
\(572\) 1.25333e6 7.10797e6i 0.160167 0.908355i
\(573\) 848581. + 712044.i 0.107971 + 0.0905983i
\(574\) −870592. 316870.i −0.110290 0.0401422i
\(575\) 4.03630e6 1.46909e6i 0.509113 0.185302i
\(576\) −758200. + 636205.i −0.0952198 + 0.0798989i
\(577\) 1.12514e6 + 1.94879e6i 0.140691 + 0.243683i 0.927757 0.373185i \(-0.121734\pi\)
−0.787066 + 0.616868i \(0.788401\pi\)
\(578\) −6.18878e6 + 1.07193e7i −0.770523 + 1.33458i
\(579\) −25881.0 146778.i −0.00320837 0.0181956i
\(580\) −1.32759e6 7.52916e6i −0.163868 0.929344i
\(581\) 4.84997e6 8.40039e6i 0.596072 1.03243i
\(582\) −188372. 326270.i −0.0230520 0.0399272i
\(583\) −1.16268e7 + 9.75608e6i −1.41674 + 1.18879i
\(584\) −2.18016e6 + 793514.i −0.264519 + 0.0962770i
\(585\) 1.45583e7 + 5.29877e6i 1.75881 + 0.640156i
\(586\) −128076. 107468.i −0.0154072 0.0129282i
\(587\) −539077. + 3.05726e6i −0.0645737 + 0.366216i 0.935348 + 0.353728i \(0.115086\pi\)
−0.999922 + 0.0124877i \(0.996025\pi\)
\(588\) −146864. −0.0175175
\(589\) −581771. + 1.75843e6i −0.0690977 + 0.208852i
\(590\) −2.40627e6 −0.284587
\(591\) −146892. + 833067.i −0.0172994 + 0.0981096i
\(592\) 345240. + 289690.i 0.0404871 + 0.0339727i
\(593\) −5.62017e6 2.04557e6i −0.656315 0.238879i −0.00767061 0.999971i \(-0.502442\pi\)
−0.648645 + 0.761091i \(0.724664\pi\)
\(594\) −973379. + 354281.i −0.113192 + 0.0411985i
\(595\) −1.00204e7 + 8.40809e6i −1.16036 + 0.973655i
\(596\) −1.09830e6 1.90231e6i −0.126650 0.219364i
\(597\) 78508.4 135980.i 0.00901530 0.0156150i
\(598\) 2.62889e6 + 1.49092e7i 0.300621 + 1.70491i
\(599\) −1.20217e6 6.81787e6i −0.136899 0.776393i −0.973518 0.228608i \(-0.926582\pi\)
0.836619 0.547785i \(-0.184529\pi\)
\(600\) −41683.9 + 72198.7i −0.00472706 + 0.00818750i
\(601\) 2.31963e6 + 4.01772e6i 0.261959 + 0.453726i 0.966762 0.255677i \(-0.0822983\pi\)
−0.704804 + 0.709402i \(0.748965\pi\)
\(602\) 615570. 516525.i 0.0692287 0.0580898i
\(603\) 6.50124e6 2.36626e6i 0.728120 0.265014i
\(604\) 1.27935e6 + 465644.i 0.142691 + 0.0519352i
\(605\) −2.44246e6 2.04947e6i −0.271293 0.227642i
\(606\) 5187.14 29417.8i 0.000573782 0.00325408i
\(607\) 8.70257e6 0.958685 0.479343 0.877628i \(-0.340875\pi\)
0.479343 + 0.877628i \(0.340875\pi\)
\(608\) 1.59442e6 + 232788.i 0.174922 + 0.0255389i
\(609\) 808588. 0.0883454
\(610\) −465812. + 2.64175e6i −0.0506858 + 0.287453i
\(611\) −9.60159e6 8.05669e6i −1.04050 0.873079i
\(612\) 7.71913e6 + 2.80953e6i 0.833085 + 0.303218i
\(613\) 5.09495e6 1.85441e6i 0.547632 0.199322i −0.0533619 0.998575i \(-0.516994\pi\)
0.600994 + 0.799253i \(0.294771\pi\)
\(614\) 4.38290e6 3.67769e6i 0.469181 0.393689i
\(615\) 93044.7 + 161158.i 0.00991982 + 0.0171816i
\(616\) 1.38614e6 2.40087e6i 0.147182 0.254927i
\(617\) 807170. + 4.57769e6i 0.0853596 + 0.484098i 0.997278 + 0.0737275i \(0.0234895\pi\)
−0.911919 + 0.410371i \(0.865399\pi\)
\(618\) −119000. 674883.i −0.0125336 0.0710816i
\(619\) −1.78393e6 + 3.08985e6i −0.187133 + 0.324124i −0.944293 0.329105i \(-0.893253\pi\)
0.757160 + 0.653229i \(0.226586\pi\)
\(620\) −613312. 1.06229e6i −0.0640770 0.110985i
\(621\) 1.66440e6 1.39660e6i 0.173192 0.145326i
\(622\) 3.43845e6 1.25150e6i 0.356359 0.129704i
\(623\) −2.51030e6 913673.i −0.259122 0.0943128i
\(624\) −225090. 188873.i −0.0231417 0.0194182i
\(625\) −2.08529e6 + 1.18263e7i −0.213534 + 1.21101i
\(626\) 7.27916e6 0.742413
\(627\) 740273. + 398705.i 0.0752009 + 0.0405026i
\(628\) −1.29757e6 −0.131290
\(629\) 649516. 3.68359e6i 0.0654581 0.371231i
\(630\) 4.55849e6 + 3.82502e6i 0.457582 + 0.383957i
\(631\) 1.02093e7 + 3.71588e6i 1.02076 + 0.371525i 0.797555 0.603246i \(-0.206126\pi\)
0.223203 + 0.974772i \(0.428349\pi\)
\(632\) −1.32197e6 + 481159.i −0.131653 + 0.0479177i
\(633\) −864934. + 725766.i −0.0857973 + 0.0719925i
\(634\) 1.21272e6 + 2.10050e6i 0.119823 + 0.207539i
\(635\) 15697.0 27188.0i 0.00154484 0.00267573i
\(636\) 107297. + 608510.i 0.0105183 + 0.0596520i
\(637\) 1.34563e6 + 7.63142e6i 0.131394 + 0.745173i
\(638\) 6.72396e6 1.16462e7i 0.653994 1.13275i
\(639\) −8.30054e6 1.43770e7i −0.804182 1.39288i
\(640\) −817462. + 685932.i −0.0788892 + 0.0661959i
\(641\) −6.75938e6 + 2.46021e6i −0.649773 + 0.236498i −0.645815 0.763494i \(-0.723482\pi\)
−0.00395815 + 0.999992i \(0.501260\pi\)
\(642\) −628857. 228885.i −0.0602163 0.0219170i
\(643\) −1.22079e7 1.02437e7i −1.16443 0.977075i −0.164476 0.986381i \(-0.552593\pi\)
−0.999957 + 0.00930566i \(0.997038\pi\)
\(644\) −1.00975e6 + 5.72660e6i −0.0959402 + 0.544104i
\(645\) −161405. −0.0152763
\(646\) −4.94328e6 1.24261e7i −0.466052 1.17153i
\(647\) −9.77399e6 −0.917934 −0.458967 0.888453i \(-0.651780\pi\)
−0.458967 + 0.888453i \(0.651780\pi\)
\(648\) 645246. 3.65937e6i 0.0603653 0.342349i
\(649\) −3.24234e6 2.72065e6i −0.302167 0.253548i
\(650\) 4.13354e6 + 1.50449e6i 0.383742 + 0.139671i
\(651\) 121907. 44370.6i 0.0112740 0.00410339i
\(652\) 5.94631e6 4.98955e6i 0.547809 0.459666i
\(653\) 2.76217e6 + 4.78423e6i 0.253494 + 0.439065i 0.964485 0.264136i \(-0.0850868\pi\)
−0.710991 + 0.703201i \(0.751753\pi\)
\(654\) −234500. + 406166.i −0.0214387 + 0.0371330i
\(655\) −1.03723e6 5.88243e6i −0.0944653 0.535739i
\(656\) 108927. + 617756.i 0.00988271 + 0.0560477i
\(657\) 4.37988e6 7.58618e6i 0.395867 0.685662i
\(658\) −2.40715e6 4.16930e6i −0.216739 0.375404i
\(659\) 9.39323e6 7.88185e6i 0.842561 0.706993i −0.115577 0.993298i \(-0.536872\pi\)
0.958138 + 0.286306i \(0.0924274\pi\)
\(660\) −523258. + 190450.i −0.0467580 + 0.0170185i
\(661\) −1.55716e7 5.66761e6i −1.38621 0.504541i −0.462158 0.886797i \(-0.652925\pi\)
−0.924056 + 0.382257i \(0.875147\pi\)
\(662\) −1.77449e6 1.48898e6i −0.157373 0.132051i
\(663\) −423473. + 2.40163e6i −0.0374147 + 0.212189i
\(664\) −6.56758e6 −0.578077
\(665\) −286285. 9.68348e6i −0.0251041 0.849136i
\(666\) −1.70160e6 −0.148652
\(667\) −4.89817e6 + 2.77789e7i −0.426303 + 2.41769i
\(668\) 4.12451e6 + 3.46088e6i 0.357628 + 0.300085i
\(669\) −924545. 336507.i −0.0798661 0.0290689i
\(670\) 7.00940e6 2.55121e6i 0.603245 0.219563i
\(671\) −3.61455e6 + 3.03297e6i −0.309919 + 0.260053i
\(672\) −56430.8 97740.9i −0.00482051 0.00834936i
\(673\) −322037. + 557785.i −0.0274074 + 0.0474710i −0.879404 0.476077i \(-0.842058\pi\)
0.851996 + 0.523548i \(0.175392\pi\)
\(674\) −588291. 3.33636e6i −0.0498818 0.282894i
\(675\) −109625. 621713.i −0.00926082 0.0525207i
\(676\) −4.78160e6 + 8.28197e6i −0.402445 + 0.697055i
\(677\) −4.89266e6 8.47433e6i −0.410273 0.710614i 0.584646 0.811288i \(-0.301233\pi\)
−0.994919 + 0.100674i \(0.967900\pi\)
\(678\) −415749. + 348855.i −0.0347342 + 0.0291454i
\(679\) −7.17485e6 + 2.61143e6i −0.597225 + 0.217372i
\(680\) 8.32247e6 + 3.02913e6i 0.690208 + 0.251215i
\(681\) −1.09484e6 918681.i −0.0904656 0.0759097i
\(682\) 374664. 2.12482e6i 0.0308447 0.174929i
\(683\) −3.75534e6 −0.308033 −0.154017 0.988068i \(-0.549221\pi\)
−0.154017 + 0.988068i \(0.549221\pi\)
\(684\) −5.17652e6 + 3.19626e6i −0.423055 + 0.261217i
\(685\) −1.53133e7 −1.24693
\(686\) −1.62033e6 + 9.18936e6i −0.131460 + 0.745547i
\(687\) 792646. + 665109.i 0.0640748 + 0.0537652i
\(688\) −511265. 186085.i −0.0411789 0.0149879i
\(689\) 3.06366e7 1.11508e7i 2.45862 0.894865i
\(690\) 894730. 750767.i 0.0715433 0.0600320i
\(691\) −1.05188e7 1.82191e7i −0.838051 1.45155i −0.891522 0.452977i \(-0.850362\pi\)
0.0534718 0.998569i \(-0.482971\pi\)
\(692\) 858476. 1.48692e6i 0.0681495 0.118038i
\(693\) 1.81759e6 + 1.03081e7i 0.143769 + 0.815352i
\(694\) 249434. + 1.41461e6i 0.0196588 + 0.111491i
\(695\) 2.46999e6 4.27814e6i 0.193969 0.335964i
\(696\) −273737. 474127.i −0.0214196 0.0370998i
\(697\) 3.98816e6 3.34646e6i 0.310950 0.260918i
\(698\) −1.50410e6 + 547448.i −0.116853 + 0.0425309i
\(699\) −496831. 180832.i −0.0384606 0.0139985i
\(700\) 1.29430e6 + 1.08604e6i 0.0998364 + 0.0837726i
\(701\) 1.66065e6 9.41801e6i 0.127639 0.723876i −0.852067 0.523433i \(-0.824651\pi\)
0.979705 0.200442i \(-0.0642379\pi\)
\(702\) 2.22506e6 0.170412
\(703\) 1.84258e6 + 2.06855e6i 0.140617 + 0.157862i
\(704\) −1.87704e6 −0.142739
\(705\) −167917. + 952306.i −0.0127240 + 0.0721612i
\(706\) −6.81622e6 5.71949e6i −0.514674 0.431862i
\(707\) −568886. 207057.i −0.0428032 0.0155791i
\(708\) −161920. + 58933.9i −0.0121399 + 0.00441857i
\(709\) −4.38984e6 + 3.68351e6i −0.327969 + 0.275199i −0.791872 0.610687i \(-0.790893\pi\)
0.463903 + 0.885886i \(0.346449\pi\)
\(710\) −8.94933e6 1.55007e7i −0.666261 1.15400i
\(711\) 2.65581e6 4.60000e6i 0.197026 0.341259i
\(712\) 314084. + 1.78126e6i 0.0232191 + 0.131682i
\(713\) 785868. + 4.45688e6i 0.0578930 + 0.328327i
\(714\) −468348. + 811202.i −0.0343814 + 0.0595503i
\(715\) 1.46905e7 + 2.54448e7i 1.07466 + 1.86137i
\(716\) 3.26335e6 2.73828e6i 0.237893 0.199616i
\(717\) 187250. 68153.4i 0.0136027 0.00495096i
\(718\) −1.78788e6 650735.i −0.129428 0.0471078i
\(719\) 657410. + 551633.i 0.0474258 + 0.0397949i 0.666192 0.745780i \(-0.267923\pi\)
−0.618767 + 0.785575i \(0.712367\pi\)
\(720\) 699638. 3.96784e6i 0.0502970 0.285249i
\(721\) −1.38886e7 −0.994992
\(722\) 9.49096e6 + 2.83175e6i 0.677590 + 0.202168i
\(723\) 214905. 0.0152897
\(724\) −117958. + 668972.i −0.00836336 + 0.0474309i
\(725\) 6.27844e6 + 5.26824e6i 0.443616 + 0.372238i
\(726\) −214550. 78089.8i −0.0151073 0.00549861i
\(727\) −1.08995e7 + 3.96708e6i −0.764838 + 0.278378i −0.694835 0.719169i \(-0.744523\pi\)
−0.0700021 + 0.997547i \(0.522301\pi\)
\(728\) −4.56181e6 + 3.82782e6i −0.319014 + 0.267684i
\(729\) 6.93473e6 + 1.20113e7i 0.483293 + 0.837088i
\(730\) 4.72223e6 8.17913e6i 0.327974 0.568068i
\(731\) 784121. + 4.44697e6i 0.0542737 + 0.307802i
\(732\) 33356.4 + 189174.i 0.00230092 + 0.0130492i
\(733\) 5.66960e6 9.82003e6i 0.389756 0.675077i −0.602661 0.797997i \(-0.705893\pi\)
0.992416 + 0.122921i \(0.0392261\pi\)
\(734\) 7.10165e6 + 1.23004e7i 0.486541 + 0.842714i
\(735\) 457977. 384289.i 0.0312698 0.0262385i
\(736\) 3.69971e6 1.34658e6i 0.251752 0.0916302i
\(737\) 1.23294e7 + 4.48752e6i 0.836127 + 0.304325i
\(738\) −1.81430e6 1.52238e6i −0.122622 0.102892i
\(739\) 3.59376e6 2.03812e7i 0.242068 1.37284i −0.585135 0.810936i \(-0.698959\pi\)
0.827204 0.561902i \(-0.189930\pi\)
\(740\) −1.83460e6 −0.123158
\(741\) −1.20133e6 1.34866e6i −0.0803743 0.0902310i
\(742\) 1.25227e7 0.835002
\(743\) −3.08915e6 + 1.75194e7i −0.205289 + 1.16425i 0.691695 + 0.722190i \(0.256864\pi\)
−0.896984 + 0.442063i \(0.854247\pi\)
\(744\) −67287.5 56460.9i −0.00445658 0.00373952i
\(745\) 8.40251e6 + 3.05826e6i 0.554649 + 0.201876i
\(746\) 7.28990e6 2.65331e6i 0.479595 0.174558i
\(747\) 1.89954e7 1.59391e7i 1.24551 1.04511i
\(748\) 7.78927e6 + 1.34914e7i 0.509029 + 0.881664i
\(749\) −6.78136e6 + 1.17457e7i −0.441685 + 0.765021i
\(750\) 105914. + 600670.i 0.00687546 + 0.0389927i
\(751\) −4.19939e6 2.38159e7i −0.271698 1.54088i −0.749258 0.662278i \(-0.769590\pi\)
0.477560 0.878599i \(-0.341521\pi\)
\(752\) −1.62982e6 + 2.82293e6i −0.105098 + 0.182035i
\(753\) 234980. + 406998.i 0.0151023 + 0.0261580i
\(754\) −2.21287e7 + 1.85682e7i −1.41751 + 1.18944i
\(755\) −5.20789e6 + 1.89552e6i −0.332502 + 0.121021i
\(756\) 803103. + 292306.i 0.0511054 + 0.0186008i
\(757\) 1.44972e7 + 1.21646e7i 0.919485 + 0.771540i 0.973900 0.226979i \(-0.0728848\pi\)
−0.0544147 + 0.998518i \(0.517329\pi\)
\(758\) 1.47574e6 8.36932e6i 0.0932902 0.529075i
\(759\) 2.05446e6 0.129447
\(760\) −5.58112e6 + 3.44609e6i −0.350500 + 0.216417i
\(761\) −1.72399e6 −0.107913 −0.0539565 0.998543i \(-0.517183\pi\)
−0.0539565 + 0.998543i \(0.517183\pi\)
\(762\) 390.378 2213.95i 2.43556e−5 0.000138127i
\(763\) 7.28129e6 + 6.10972e6i 0.452790 + 0.379936i
\(764\) −1.42838e7 5.19886e6i −0.885338 0.322237i
\(765\) −3.14226e7 + 1.14369e7i −1.94128 + 0.706568i
\(766\) −1.42070e7 + 1.19211e7i −0.874843 + 0.734081i
\(767\) 4.54592e6 + 7.87376e6i 0.279019 + 0.483274i