Properties

Label 36.6.h.a.11.7
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.26482 - 3.71636i) q^{2} +(-6.54818 + 14.1464i) q^{3} +(4.37736 + 31.6992i) q^{4} +(36.0599 - 20.8192i) q^{5} +(80.5000 - 35.9966i) q^{6} +(-117.288 - 67.7164i) q^{7} +(99.1369 - 151.459i) q^{8} +(-157.243 - 185.267i) q^{9} +O(q^{10})\) \(q+(-4.26482 - 3.71636i) q^{2} +(-6.54818 + 14.1464i) q^{3} +(4.37736 + 31.6992i) q^{4} +(36.0599 - 20.8192i) q^{5} +(80.5000 - 35.9966i) q^{6} +(-117.288 - 67.7164i) q^{7} +(99.1369 - 151.459i) q^{8} +(-157.243 - 185.267i) q^{9} +(-231.160 - 45.2214i) q^{10} +(-144.306 + 249.946i) q^{11} +(-477.094 - 145.648i) q^{12} +(-399.564 - 692.066i) q^{13} +(248.555 + 724.683i) q^{14} +(58.3905 + 646.446i) q^{15} +(-985.677 + 277.518i) q^{16} -1426.41i q^{17} +(-17.9053 + 1374.50i) q^{18} -2191.46i q^{19} +(817.798 + 1051.94i) q^{20} +(1725.97 - 1215.79i) q^{21} +(1544.33 - 529.680i) q^{22} +(276.033 + 478.103i) q^{23} +(1493.44 + 2394.21i) q^{24} +(-695.624 + 1204.86i) q^{25} +(-867.895 + 4436.46i) q^{26} +(3650.51 - 1011.26i) q^{27} +(1633.14 - 4014.36i) q^{28} +(2037.13 + 1176.14i) q^{29} +(2153.40 - 2973.98i) q^{30} +(-8140.74 + 4700.06i) q^{31} +(5235.09 + 2479.57i) q^{32} +(-2590.90 - 3678.11i) q^{33} +(-5301.07 + 6083.40i) q^{34} -5639.20 q^{35} +(5184.49 - 5795.45i) q^{36} +2862.18 q^{37} +(-8144.24 + 9346.17i) q^{38} +(12406.7 - 1120.64i) q^{39} +(421.609 - 7525.55i) q^{40} +(-2498.01 + 1442.23i) q^{41} +(-11879.3 - 1229.19i) q^{42} +(-5637.32 - 3254.71i) q^{43} +(-8554.76 - 3480.29i) q^{44} +(-9527.25 - 3407.03i) q^{45} +(599.572 - 3064.86i) q^{46} +(3575.66 - 6193.23i) q^{47} +(2528.51 - 15761.0i) q^{48} +(767.520 + 1329.38i) q^{49} +(7444.38 - 2553.30i) q^{50} +(20178.7 + 9340.41i) q^{51} +(20188.9 - 15695.3i) q^{52} +19840.6i q^{53} +(-19327.0 - 9253.76i) q^{54} +12017.3i q^{55} +(-21883.9 + 11051.2i) q^{56} +(31001.3 + 14350.1i) q^{57} +(-4317.03 - 12586.7i) q^{58} +(-24632.6 - 42665.0i) q^{59} +(-20236.2 + 4680.66i) q^{60} +(-19300.6 + 33429.6i) q^{61} +(52185.9 + 10209.0i) q^{62} +(5897.14 + 32377.5i) q^{63} +(-13111.7 - 30030.4i) q^{64} +(-28816.5 - 16637.2i) q^{65} +(-2619.46 + 25315.2i) q^{66} +(-37000.1 + 21362.0i) q^{67} +(45216.2 - 6243.93i) q^{68} +(-8570.96 + 774.176i) q^{69} +(24050.2 + 20957.3i) q^{70} +49446.3 q^{71} +(-43648.9 + 5449.09i) q^{72} +52633.6 q^{73} +(-12206.7 - 10636.9i) q^{74} +(-12489.3 - 17730.2i) q^{75} +(69467.4 - 9592.80i) q^{76} +(33850.8 - 19543.8i) q^{77} +(-57076.9 - 41328.3i) q^{78} +(1301.08 + 751.180i) q^{79} +(-29765.7 + 30528.2i) q^{80} +(-9598.44 + 58263.7i) q^{81} +(16013.4 + 3132.66i) q^{82} +(45325.7 - 78506.4i) q^{83} +(46094.8 + 49389.9i) q^{84} +(-29696.8 - 51436.3i) q^{85} +(11946.5 + 34831.0i) q^{86} +(-29977.6 + 21116.5i) q^{87} +(23550.5 + 46635.3i) q^{88} +17210.8i q^{89} +(27970.3 + 49937.0i) q^{90} +108228. i q^{91} +(-13947.2 + 10842.9i) q^{92} +(-13182.0 - 145939. i) q^{93} +(-38265.8 + 13124.6i) q^{94} +(-45624.3 - 79023.7i) q^{95} +(-69357.3 + 57821.2i) q^{96} +(42560.1 - 73716.3i) q^{97} +(1667.13 - 8521.96i) q^{98} +(68997.7 - 12567.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.26482 3.71636i −0.753921 0.656966i
\(3\) −6.54818 + 14.1464i −0.420066 + 0.907494i
\(4\) 4.37736 + 31.6992i 0.136793 + 0.990600i
\(5\) 36.0599 20.8192i 0.645059 0.372425i −0.141502 0.989938i \(-0.545193\pi\)
0.786561 + 0.617513i \(0.211860\pi\)
\(6\) 80.5000 35.9966i 0.912888 0.408209i
\(7\) −117.288 67.7164i −0.904710 0.522335i −0.0259846 0.999662i \(-0.508272\pi\)
−0.878725 + 0.477328i \(0.841605\pi\)
\(8\) 99.1369 151.459i 0.547659 0.836702i
\(9\) −157.243 185.267i −0.647089 0.762414i
\(10\) −231.160 45.2214i −0.730993 0.143003i
\(11\) −144.306 + 249.946i −0.359586 + 0.622822i −0.987892 0.155145i \(-0.950416\pi\)
0.628305 + 0.777967i \(0.283749\pi\)
\(12\) −477.094 145.648i −0.956425 0.291979i
\(13\) −399.564 692.066i −0.655735 1.13577i −0.981709 0.190388i \(-0.939026\pi\)
0.325974 0.945379i \(-0.394308\pi\)
\(14\) 248.555 + 724.683i 0.338924 + 0.988162i
\(15\) 58.3905 + 646.446i 0.0670061 + 0.741830i
\(16\) −985.677 + 277.518i −0.962576 + 0.271013i
\(17\) 1426.41i 1.19708i −0.801093 0.598540i \(-0.795748\pi\)
0.801093 0.598540i \(-0.204252\pi\)
\(18\) −17.9053 + 1374.50i −0.0130257 + 0.999915i
\(19\) 2191.46i 1.39267i −0.717716 0.696336i \(-0.754812\pi\)
0.717716 0.696336i \(-0.245188\pi\)
\(20\) 817.798 + 1051.94i 0.457163 + 0.588050i
\(21\) 1725.97 1215.79i 0.854053 0.601604i
\(22\) 1544.33 529.680i 0.680272 0.233322i
\(23\) 276.033 + 478.103i 0.108803 + 0.188453i 0.915286 0.402805i \(-0.131965\pi\)
−0.806483 + 0.591258i \(0.798632\pi\)
\(24\) 1493.44 + 2394.21i 0.529248 + 0.848467i
\(25\) −695.624 + 1204.86i −0.222600 + 0.385554i
\(26\) −867.895 + 4436.46i −0.251787 + 1.28707i
\(27\) 3650.51 1011.26i 0.963706 0.266966i
\(28\) 1633.14 4014.36i 0.393667 0.967657i
\(29\) 2037.13 + 1176.14i 0.449804 + 0.259694i 0.707747 0.706466i \(-0.249712\pi\)
−0.257944 + 0.966160i \(0.583045\pi\)
\(30\) 2153.40 2973.98i 0.436839 0.603301i
\(31\) −8140.74 + 4700.06i −1.52146 + 0.878414i −0.521778 + 0.853081i \(0.674731\pi\)
−0.999679 + 0.0253327i \(0.991935\pi\)
\(32\) 5235.09 + 2479.57i 0.903752 + 0.428057i
\(33\) −2590.90 3678.11i −0.414157 0.587949i
\(34\) −5301.07 + 6083.40i −0.786441 + 0.902504i
\(35\) −5639.20 −0.778121
\(36\) 5184.49 5795.45i 0.666730 0.745299i
\(37\) 2862.18 0.343711 0.171855 0.985122i \(-0.445024\pi\)
0.171855 + 0.985122i \(0.445024\pi\)
\(38\) −8144.24 + 9346.17i −0.914938 + 1.04996i
\(39\) 12406.7 1120.64i 1.30615 0.117979i
\(40\) 421.609 7525.55i 0.0416639 0.743683i
\(41\) −2498.01 + 1442.23i −0.232078 + 0.133990i −0.611530 0.791221i \(-0.709446\pi\)
0.379452 + 0.925211i \(0.376112\pi\)
\(42\) −11879.3 1229.19i −1.03912 0.107522i
\(43\) −5637.32 3254.71i −0.464945 0.268436i 0.249176 0.968458i \(-0.419840\pi\)
−0.714121 + 0.700022i \(0.753173\pi\)
\(44\) −8554.76 3480.29i −0.666156 0.271009i
\(45\) −9527.25 3407.03i −0.701353 0.250810i
\(46\) 599.572 3064.86i 0.0417779 0.213558i
\(47\) 3575.66 6193.23i 0.236109 0.408952i −0.723486 0.690339i \(-0.757461\pi\)
0.959594 + 0.281387i \(0.0907945\pi\)
\(48\) 2528.51 15761.0i 0.158402 0.987375i
\(49\) 767.520 + 1329.38i 0.0456667 + 0.0790970i
\(50\) 7444.38 2553.30i 0.421118 0.144437i
\(51\) 20178.7 + 9340.41i 1.08634 + 0.502852i
\(52\) 20188.9 15695.3i 1.03539 0.804935i
\(53\) 19840.6i 0.970209i 0.874456 + 0.485104i \(0.161218\pi\)
−0.874456 + 0.485104i \(0.838782\pi\)
\(54\) −19327.0 9253.76i −0.901945 0.431851i
\(55\) 12017.3i 0.535676i
\(56\) −21883.9 + 11051.2i −0.932511 + 0.470911i
\(57\) 31001.3 + 14350.1i 1.26384 + 0.585014i
\(58\) −4317.03 12586.7i −0.168506 0.491294i
\(59\) −24632.6 42665.0i −0.921257 1.59566i −0.797473 0.603354i \(-0.793830\pi\)
−0.123784 0.992309i \(1.46050\pi\)
\(60\) −20236.2 + 4680.66i −0.725690 + 0.167853i
\(61\) −19300.6 + 33429.6i −0.664119 + 1.15029i 0.315404 + 0.948958i \(0.397860\pi\)
−0.979523 + 0.201331i \(0.935473\pi\)
\(62\) 52185.9 + 10209.0i 1.72415 + 0.337291i
\(63\) 5897.14 + 32377.5i 0.187193 + 1.02776i
\(64\) −13111.7 30030.4i −0.400139 0.916455i
\(65\) −28816.5 16637.2i −0.845975 0.488424i
\(66\) −2619.46 + 25315.2i −0.0740205 + 0.715354i
\(67\) −37000.1 + 21362.0i −1.00697 + 0.581374i −0.910303 0.413943i \(-0.864151\pi\)
−0.0966660 + 0.995317i \(0.530818\pi\)
\(68\) 45216.2 6243.93i 1.18583 0.163752i
\(69\) −8570.96 + 774.176i −0.216724 + 0.0195757i
\(70\) 24050.2 + 20957.3i 0.586642 + 0.511199i
\(71\) 49446.3 1.16409 0.582047 0.813155i \(-0.302252\pi\)
0.582047 + 0.813155i \(0.302252\pi\)
\(72\) −43648.9 + 5449.09i −0.992297 + 0.123878i
\(73\) 52633.6 1.15600 0.577998 0.816038i \(-0.303834\pi\)
0.577998 + 0.816038i \(0.303834\pi\)
\(74\) −12206.7 10636.9i −0.259131 0.225806i
\(75\) −12489.3 17730.2i −0.256381 0.363966i
\(76\) 69467.4 9592.80i 1.37958 0.190507i
\(77\) 33850.8 19543.8i 0.650643 0.375649i
\(78\) −57076.9 41328.3i −1.06224 0.769151i
\(79\) 1301.08 + 751.180i 0.0234551 + 0.0135418i 0.511682 0.859175i \(-0.329023\pi\)
−0.488227 + 0.872717i \(0.662356\pi\)
\(80\) −29765.7 + 30528.2i −0.519986 + 0.533306i
\(81\) −9598.44 + 58263.7i −0.162550 + 0.986700i
\(82\) 16013.4 + 3132.66i 0.262996 + 0.0514492i
\(83\) 45325.7 78506.4i 0.722187 1.25086i −0.237935 0.971281i \(-0.576471\pi\)
0.960122 0.279583i \(-0.0901961\pi\)
\(84\) 46094.8 + 49389.9i 0.712776 + 0.763730i
\(85\) −29696.8 51436.3i −0.445822 0.772187i
\(86\) 11946.5 + 34831.0i 0.174178 + 0.507832i
\(87\) −29977.6 + 21116.5i −0.424618 + 0.299105i
\(88\) 23550.5 + 46635.3i 0.324185 + 0.641961i
\(89\) 17210.8i 0.230316i 0.993347 + 0.115158i \(0.0367375\pi\)
−0.993347 + 0.115158i \(0.963262\pi\)
\(90\) 27970.3 + 49937.0i 0.363991 + 0.649855i
\(91\) 108228.i 1.37005i
\(92\) −13947.2 + 10842.9i −0.171798 + 0.133559i
\(93\) −13182.0 145939.i −0.158043 1.74970i
\(94\) −38265.8 + 13124.6i −0.446675 + 0.153202i
\(95\) −45624.3 79023.7i −0.518666 0.898355i
\(96\) −69357.3 + 57821.2i −0.768094 + 0.640337i
\(97\) 42560.1 73716.3i 0.459276 0.795489i −0.539647 0.841891i \(-0.681442\pi\)
0.998923 + 0.0464027i \(0.0147757\pi\)
\(98\) 1667.13 8521.96i 0.0175350 0.0896343i
\(99\) 68997.7 12567.0i 0.707533 0.128868i
\(100\) −41237.9 16776.6i −0.412379 0.167766i
\(101\) −143739. 82987.8i −1.40208 0.809489i −0.407470 0.913219i \(-0.633589\pi\)
−0.994606 + 0.103730i \(0.966922\pi\)
\(102\) −51346.0 114826.i −0.488659 1.09280i
\(103\) −37562.8 + 21686.9i −0.348871 + 0.201421i −0.664188 0.747565i \(-0.731223\pi\)
0.315317 + 0.948987i \(0.397889\pi\)
\(104\) −144431. 8091.58i −1.30942 0.0733584i
\(105\) 36926.5 79774.5i 0.326862 0.706140i
\(106\) 73734.8 84616.6i 0.637394 0.731460i
\(107\) −91255.2 −0.770546 −0.385273 0.922803i \(-0.625893\pi\)
−0.385273 + 0.922803i \(0.625893\pi\)
\(108\) 48035.9 + 111292.i 0.396284 + 0.918128i
\(109\) −24623.9 −0.198514 −0.0992568 0.995062i \(-0.531647\pi\)
−0.0992568 + 0.995062i \(0.531647\pi\)
\(110\) 44660.8 51251.8i 0.351920 0.403857i
\(111\) −18742.1 + 40489.7i −0.144381 + 0.311915i
\(112\) 134401. + 34197.0i 1.01241 + 0.257598i
\(113\) 88668.1 51192.5i 0.653238 0.377147i −0.136458 0.990646i \(-0.543572\pi\)
0.789696 + 0.613499i \(0.210238\pi\)
\(114\) −78884.9 176412.i −0.568502 1.27135i
\(115\) 19907.4 + 11493.6i 0.140369 + 0.0810420i
\(116\) −28365.3 + 69723.6i −0.195723 + 0.481100i
\(117\) −65388.1 + 182848.i −0.441605 + 1.23488i
\(118\) −53504.6 + 273502.i −0.353742 + 1.80824i
\(119\) −96591.6 + 167302.i −0.625276 + 1.08301i
\(120\) 103699. + 55242.9i 0.657386 + 0.350206i
\(121\) 38876.9 + 67336.8i 0.241395 + 0.418109i
\(122\) 206550. 70843.3i 1.25639 0.430923i
\(123\) −4044.94 44781.8i −0.0241073 0.266894i
\(124\) −184623. 237481.i −1.07828 1.38699i
\(125\) 188049.i 1.07646i
\(126\) 95176.2 160000.i 0.534075 0.897829i
\(127\) 302657.i 1.66510i −0.553947 0.832552i \(-0.686879\pi\)
0.553947 0.832552i \(-0.313121\pi\)
\(128\) −55684.4 + 176802.i −0.300406 + 0.953811i
\(129\) 82956.6 58435.5i 0.438911 0.309174i
\(130\) 61067.3 + 178047.i 0.316920 + 0.924009i
\(131\) 118391. + 205059.i 0.602755 + 1.04400i 0.992402 + 0.123038i \(0.0392638\pi\)
−0.389647 + 0.920964i \(0.627403\pi\)
\(132\) 105252. 98229.7i 0.525768 0.490691i
\(133\) −148398. + 257032.i −0.727441 + 1.25996i
\(134\) 237188. + 46400.5i 1.14112 + 0.223234i
\(135\) 110583. 112467.i 0.522222 0.531116i
\(136\) −216043. 141410.i −1.00160 0.655592i
\(137\) 258227. + 149087.i 1.17544 + 0.678640i 0.954955 0.296750i \(-0.0959029\pi\)
0.220484 + 0.975391i \(0.429236\pi\)
\(138\) 39430.7 + 28551.1i 0.176253 + 0.127622i
\(139\) 231460. 133634.i 1.01611 0.586650i 0.103133 0.994668i \(-0.467113\pi\)
0.912974 + 0.408018i \(0.133780\pi\)
\(140\) −24684.8 178758.i −0.106441 0.770807i
\(141\) 64198.0 + 91137.2i 0.271940 + 0.386054i
\(142\) −210880. 183760.i −0.877635 0.764770i
\(143\) 230638. 0.943174
\(144\) 206405. + 138975.i 0.829497 + 0.558511i
\(145\) 97944.7 0.386866
\(146\) −224473. 195605.i −0.871529 0.759449i
\(147\) −23831.9 + 2152.63i −0.0909631 + 0.00821628i
\(148\) 12528.8 + 90728.9i 0.0470171 + 0.340480i
\(149\) −3380.85 + 1951.94i −0.0124756 + 0.00720277i −0.506225 0.862402i \(-0.668959\pi\)
0.493749 + 0.869604i \(0.335626\pi\)
\(150\) −12627.0 + 122031.i −0.0458219 + 0.442835i
\(151\) −65292.0 37696.4i −0.233033 0.134542i 0.378937 0.925422i \(-0.376290\pi\)
−0.611971 + 0.790881i \(0.709623\pi\)
\(152\) −331916. 217254.i −1.16525 0.762710i
\(153\) −264267. + 224293.i −0.912671 + 0.774618i
\(154\) −216999. 42451.1i −0.737321 0.144241i
\(155\) −195703. + 338967.i −0.654286 + 1.13326i
\(156\) 89831.8 + 388376.i 0.295542 + 1.27774i
\(157\) −212862. 368688.i −0.689206 1.19374i −0.972095 0.234587i \(-0.924626\pi\)
0.282889 0.959153i \(-0.408707\pi\)
\(158\) −2757.22 8038.93i −0.00878677 0.0256186i
\(159\) −280674. 129920.i −0.880458 0.407552i
\(160\) 240399. 19577.4i 0.742392 0.0604581i
\(161\) 74767.8i 0.227327i
\(162\) 257464. 212813.i 0.770778 0.637104i
\(163\) 192942.i 0.568797i −0.958706 0.284399i \(-0.908206\pi\)
0.958706 0.284399i \(-0.0917939\pi\)
\(164\) −56652.1 72871.7i −0.164477 0.211568i
\(165\) −170003. 78691.7i −0.486122 0.225019i
\(166\) −485064. + 166369.i −1.36625 + 0.468600i
\(167\) 181210. + 313866.i 0.502796 + 0.870868i 0.999995 + 0.00323152i \(0.00102863\pi\)
−0.497199 + 0.867637i \(0.665638\pi\)
\(168\) −13035.3 381944.i −0.0356327 1.04406i
\(169\) −133657. + 231500.i −0.359977 + 0.623498i
\(170\) −64504.4 + 329730.i −0.171186 + 0.875058i
\(171\) −406004. + 344591.i −1.06179 + 0.901184i
\(172\) 78495.0 192945.i 0.202312 0.497294i
\(173\) −245891. 141965.i −0.624636 0.360634i 0.154036 0.988065i \(-0.450773\pi\)
−0.778672 + 0.627431i \(0.784106\pi\)
\(174\) 206325. + 21349.3i 0.516630 + 0.0534578i
\(175\) 163177. 94210.2i 0.402776 0.232543i
\(176\) 72875.1 286413.i 0.177336 0.696966i
\(177\) 764856. 69085.9i 1.83504 0.165751i
\(178\) 63961.4 73400.8i 0.151310 0.173640i
\(179\) −176839. −0.412521 −0.206261 0.978497i \(-0.566129\pi\)
−0.206261 + 0.978497i \(0.566129\pi\)
\(180\) 66295.8 316920.i 0.152512 0.729069i
\(181\) 378020. 0.857666 0.428833 0.903384i \(-0.358925\pi\)
0.428833 + 0.903384i \(0.358925\pi\)
\(182\) 402215. 461574.i 0.900077 1.03291i
\(183\) −346526. 491937.i −0.764906 1.08588i
\(184\) 99778.2 + 5589.95i 0.217266 + 0.0121720i
\(185\) 103210. 59588.3i 0.221714 0.128006i
\(186\) −486144. + 671394.i −1.03034 + 1.42297i
\(187\) 356526. + 205840.i 0.745568 + 0.430454i
\(188\) 211972. + 86235.6i 0.437406 + 0.177948i
\(189\) −496641. 128590.i −1.01132 0.261851i
\(190\) −99100.7 + 506578.i −0.199156 + 1.01803i
\(191\) 10086.4 17470.2i 0.0200058 0.0346510i −0.855849 0.517225i \(-0.826965\pi\)
0.875855 + 0.482574i \(0.160298\pi\)
\(192\) 510681. + 11159.9i 0.999761 + 0.0218478i
\(193\) −289585. 501576.i −0.559606 0.969266i −0.997529 0.0702539i \(-0.977619\pi\)
0.437923 0.899013i \(-0.355714\pi\)
\(194\) −455467. + 156218.i −0.868866 + 0.298007i
\(195\) 424052. 298707.i 0.798607 0.562547i
\(196\) −38780.7 + 30149.0i −0.0721066 + 0.0560573i
\(197\) 535064.i 0.982291i −0.871077 0.491146i \(-0.836578\pi\)
0.871077 0.491146i \(-0.163422\pi\)
\(198\) −340966. 202824.i −0.618085 0.367669i
\(199\) 304356.i 0.544815i 0.962182 + 0.272407i \(0.0878198\pi\)
−0.962182 + 0.272407i \(0.912180\pi\)
\(200\) 113524. + 224804.i 0.200685 + 0.397401i
\(201\) −59913.0 663302.i −0.104600 1.15803i
\(202\) 304609. + 888114.i 0.525247 + 1.53141i
\(203\) −159287. 275894.i −0.271295 0.469896i
\(204\) −207754. + 680534.i −0.349522 + 1.14492i
\(205\) −60051.9 + 104013.i −0.0998027 + 0.172863i
\(206\) 240795. + 47106.2i 0.395348 + 0.0773411i
\(207\) 45172.4 126318.i 0.0732735 0.204899i
\(208\) 585902. + 571267.i 0.939002 + 0.915548i
\(209\) 547745. + 316241.i 0.867387 + 0.500786i
\(210\) −453955. + 202992.i −0.710338 + 0.317636i
\(211\) 51876.9 29951.2i 0.0802173 0.0463135i −0.459355 0.888253i \(-0.651919\pi\)
0.539572 + 0.841939i \(0.318586\pi\)
\(212\) −628931. + 86849.5i −0.961089 + 0.132717i
\(213\) −323783. + 699489.i −0.488996 + 1.05641i
\(214\) 389187. + 339137.i 0.580930 + 0.506222i
\(215\) −271041. −0.399889
\(216\) 208735. 653157.i 0.304412 0.952540i
\(217\) 1.27308e6 1.83530
\(218\) 105016. + 91511.2i 0.149663 + 0.130417i
\(219\) −344654. + 744578.i −0.485594 + 1.04906i
\(220\) −380940. + 52604.3i −0.530640 + 0.0732764i
\(221\) −987172. + 569944.i −1.35960 + 0.784967i
\(222\) 230406. 103029.i 0.313769 0.140306i
\(223\) 557285. + 321748.i 0.750438 + 0.433266i 0.825852 0.563887i \(-0.190695\pi\)
−0.0754140 + 0.997152i \(0.524028\pi\)
\(224\) −446107. 645326.i −0.594045 0.859328i
\(225\) 332601. 60578.9i 0.437993 0.0797747i
\(226\) −568403. 111195.i −0.740262 0.144816i
\(227\) 702737. 1.21718e6i 0.905166 1.56779i 0.0844708 0.996426i \(-0.473080\pi\)
0.820695 0.571367i \(-0.193587\pi\)
\(228\) −319181. + 1.04553e6i −0.406631 + 1.33199i
\(229\) −484313. 838855.i −0.610292 1.05706i −0.991191 0.132440i \(-0.957719\pi\)
0.380900 0.924616i \(-0.375614\pi\)
\(230\) −42187.4 123001.i −0.0525852 0.153317i
\(231\) 54813.5 + 606845.i 0.0675861 + 0.748252i
\(232\) 380091. 191943.i 0.463626 0.234127i
\(233\) 341863.i 0.412536i −0.978496 0.206268i \(-0.933868\pi\)
0.978496 0.206268i \(-0.0661319\pi\)
\(234\) 958398. 536809.i 1.14421 0.640885i
\(235\) 297769.i 0.351731i
\(236\) 1.24462e6 967594.i 1.45464 1.13087i
\(237\) −19146.2 + 13486.8i −0.0221418 + 0.0155969i
\(238\) 1.03370e6 354542.i 1.18291 0.405719i
\(239\) 38134.0 + 66050.0i 0.0431834 + 0.0747959i 0.886809 0.462136i \(-0.152917\pi\)
−0.843626 + 0.536932i \(0.819583\pi\)
\(240\) −236954. 620983.i −0.265544 0.695908i
\(241\) −451424. + 781890.i −0.500659 + 0.867167i 0.499340 + 0.866406i \(0.333576\pi\)
−1.00000 0.000761543i \(0.999758\pi\)
\(242\) 84444.7 431660.i 0.0926902 0.473809i
\(243\) −761370. 517304.i −0.827142 0.561993i
\(244\) −1.14418e6 465480.i −1.23032 0.500526i
\(245\) 55353.4 + 31958.3i 0.0589154 + 0.0340148i
\(246\) −149174. + 206019.i −0.157165 + 0.217055i
\(247\) −1.51663e6 + 875628.i −1.58175 + 0.913224i
\(248\) −95180.9 + 1.69894e6i −0.0982699 + 1.75408i
\(249\) 813785. + 1.15527e6i 0.831785 + 1.18082i
\(250\) 698858. 801995.i 0.707194 0.811562i
\(251\) 231854. 0.232290 0.116145 0.993232i \(-0.462946\pi\)
0.116145 + 0.993232i \(0.462946\pi\)
\(252\) −1.00053e6 + 328662.i −0.992493 + 0.326023i
\(253\) −159333. −0.156497
\(254\) −1.12478e6 + 1.29078e6i −1.09392 + 1.25536i
\(255\) 922100. 83289.0i 0.888030 0.0802116i
\(256\) 894544. 547086.i 0.853104 0.521742i
\(257\) 405704. 234234.i 0.383157 0.221216i −0.296034 0.955177i \(-0.595664\pi\)
0.679191 + 0.733962i \(0.262331\pi\)
\(258\) −570962. 59079.7i −0.534021 0.0552573i
\(259\) −335700. 193817.i −0.310958 0.179532i
\(260\) 401246. 986286.i 0.368110 0.904835i
\(261\) −102425. 562350.i −0.0930686 0.510982i
\(262\) 257158. 1.31453e6i 0.231444 1.18308i
\(263\) −83590.8 + 144784.i −0.0745194 + 0.129071i −0.900877 0.434074i \(-0.857076\pi\)
0.826358 + 0.563145i \(0.190409\pi\)
\(264\) −813936. + 27778.8i −0.718754 + 0.0245304i
\(265\) 413065. + 715450.i 0.361330 + 0.625842i
\(266\) 1.58811e6 544697.i 1.37619 0.472010i
\(267\) −243471. 112699.i −0.209011 0.0967481i
\(268\) −839122. 1.07936e6i −0.713654 0.917975i
\(269\) 168240.i 0.141758i 0.997485 + 0.0708791i \(0.0225805\pi\)
−0.997485 + 0.0708791i \(0.977420\pi\)
\(270\) −889585. + 68682.9i −0.742639 + 0.0573375i
\(271\) 243960.i 0.201788i 0.994897 + 0.100894i \(0.0321703\pi\)
−0.994897 + 0.100894i \(0.967830\pi\)
\(272\) 395855. + 1.40598e6i 0.324425 + 1.15228i
\(273\) −1.53104e6 708698.i −1.24331 0.575512i
\(274\) −547229. 1.59550e6i −0.440345 1.28386i
\(275\) −200766. 347736.i −0.160088 0.277280i
\(276\) −62059.0 268304.i −0.0490379 0.212009i
\(277\) −752145. + 1.30275e6i −0.588982 + 1.02015i 0.405384 + 0.914146i \(0.367138\pi\)
−0.994366 + 0.106000i \(0.966196\pi\)
\(278\) −1.48377e6 290266.i −1.15147 0.225260i
\(279\) 2.15084e6 + 769158.i 1.65423 + 0.591568i
\(280\) −559053. + 854108.i −0.426145 + 0.651055i
\(281\) −627810. 362466.i −0.474310 0.273843i 0.243732 0.969843i \(-0.421628\pi\)
−0.718042 + 0.696000i \(0.754962\pi\)
\(282\) 64905.8 627266.i 0.0486027 0.469709i
\(283\) −210367. + 121456.i −0.156139 + 0.0901470i −0.576034 0.817426i \(-0.695400\pi\)
0.419895 + 0.907573i \(0.362067\pi\)
\(284\) 216444. + 1.56741e6i 0.159239 + 1.15315i
\(285\) 1.41666e6 127960.i 1.03313 0.0933175i
\(286\) −983631. 857135.i −0.711078 0.619633i
\(287\) 390649. 0.279951
\(288\) −363799. 1.35978e6i −0.258452 0.966024i
\(289\) −614800. −0.433001
\(290\) −417716. 363998.i −0.291666 0.254158i
\(291\) 764130. + 1.08478e6i 0.528975 + 0.750947i
\(292\) 230396. + 1.66844e6i 0.158132 + 1.14513i
\(293\) −229983. + 132781.i −0.156504 + 0.0903577i −0.576207 0.817304i \(-0.695468\pi\)
0.419703 + 0.907662i \(0.362134\pi\)
\(294\) 109639. + 79387.3i 0.0739767 + 0.0535652i
\(295\) −1.77650e6 1.02566e6i −1.18853 0.686198i
\(296\) 283748. 433504.i 0.188236 0.287583i
\(297\) −274031. + 1.05836e6i −0.180264 + 0.696215i
\(298\) 21672.8 + 4239.80i 0.0141376 + 0.00276570i
\(299\) 220586. 382066.i 0.142692 0.247150i
\(300\) 507363. 473513.i 0.325473 0.303759i
\(301\) 440794. + 763478.i 0.280427 + 0.485713i
\(302\) 138365. + 403417.i 0.0872992 + 0.254528i
\(303\) 2.11521e6 1.48998e6i 1.32357 0.932336i
\(304\) 608168. + 2.16007e6i 0.377433 + 1.34055i
\(305\) 1.60729e6i 0.989338i
\(306\) 1.96060e6 + 25540.4i 1.19698 + 0.0155928i
\(307\) 110695.i 0.0670317i −0.999438 0.0335159i \(-0.989330\pi\)
0.999438 0.0335159i \(-0.0106704\pi\)
\(308\) 767700. + 987494.i 0.461121 + 0.593141i
\(309\) −60824.2 673390.i −0.0362393 0.401209i
\(310\) 2.09436e6 718332.i 1.23779 0.424542i
\(311\) −853195. 1.47778e6i −0.500204 0.866379i −1.00000 0.000235558i \(-0.999925\pi\)
0.499796 0.866143i \(1.66659\pi\)
\(312\) 1.06023e6 1.99020e6i 0.616613 1.15747i
\(313\) 1.31497e6 2.27759e6i 0.758672 1.31406i −0.184855 0.982766i \(-0.559182\pi\)
0.943528 0.331293i \(-0.107485\pi\)
\(314\) −462358. + 2.36346e6i −0.264639 + 1.35277i
\(315\) 886723. + 1.04476e6i 0.503514 + 0.593251i
\(316\) −18116.5 + 44531.4i −0.0102060 + 0.0250870i
\(317\) 2.29323e6 + 1.32399e6i 1.28174 + 0.740011i 0.977166 0.212479i \(-0.0681538\pi\)
0.304570 + 0.952490i \(0.401487\pi\)
\(318\) 714194. + 1.59717e6i 0.396048 + 0.885692i
\(319\) −587940. + 339447.i −0.323487 + 0.186765i
\(320\) −1.09802e6 809916.i −0.599423 0.442145i
\(321\) 597556. 1.29094e6i 0.323680 0.699265i
\(322\) −277864. + 318871.i −0.149346 + 0.171386i
\(323\) −3.12593e6 −1.66714
\(324\) −1.88893e6 49221.8i −0.999661 0.0260492i
\(325\) 1.11179e6 0.583865
\(326\) −717041. + 822862.i −0.373680 + 0.428828i
\(327\) 161242. 348340.i 0.0833888 0.180150i
\(328\) −29206.5 + 521324.i −0.0149898 + 0.267561i
\(329\) −838766. + 484262.i −0.427220 + 0.246655i
\(330\) 432583. + 967396.i 0.218668 + 0.489012i
\(331\) 302518. + 174659.i 0.151768 + 0.0876234i 0.573961 0.818883i \(-0.305406\pi\)
−0.422193 + 0.906506i \(0.638739\pi\)
\(332\) 2.68700e6 + 1.09314e6i 1.33790 + 0.544289i
\(333\) −450057. 530267.i −0.222412 0.262050i
\(334\) 393607. 2.01202e6i 0.193062 0.986885i
\(335\) −889480. + 1.54062e6i −0.433036 + 0.750040i
\(336\) −1.36385e6 + 1.67736e6i −0.659048 + 0.810549i
\(337\) −547189. 947760.i −0.262460 0.454594i 0.704435 0.709768i \(-0.251200\pi\)
−0.966895 + 0.255174i \(0.917867\pi\)
\(338\) 1.43036e6 490591.i 0.681011 0.233576i
\(339\) 143577. + 1.58955e6i 0.0678557 + 0.751236i
\(340\) 1.50050e6 1.16652e6i 0.703943 0.547261i
\(341\) 2.71299e6i 1.26346i
\(342\) 3.01216e6 + 39238.8i 1.39255 + 0.0181405i
\(343\) 2.06832e6i 0.949256i
\(344\) −1.05182e6 + 531162.i −0.479232 + 0.242009i
\(345\) −292950. + 206357.i −0.132509 + 0.0933409i
\(346\) 521087. + 1.51927e6i 0.234002 + 0.682254i
\(347\) 11213.9 + 19423.0i 0.00499957 + 0.00865952i 0.868514 0.495664i \(-0.165075\pi\)
−0.863515 + 0.504324i \(0.831742\pi\)
\(348\) −800599. 857830.i −0.354378 0.379711i
\(349\) −375010. + 649537.i −0.164809 + 0.285457i −0.936587 0.350434i \(-0.886034\pi\)
0.771779 + 0.635891i \(0.219367\pi\)
\(350\) −1.04604e6 204634.i −0.456434 0.0892911i
\(351\) −2.15848e6 2.12233e6i −0.935146 0.919486i
\(352\) −1.37521e6 + 950671.i −0.591580 + 0.408953i
\(353\) −2.86942e6 1.65666e6i −1.22563 0.707615i −0.259514 0.965739i \(-0.583562\pi\)
−0.966112 + 0.258124i \(0.916896\pi\)
\(354\) −3.51872e6 2.54784e6i −1.49237 1.08060i
\(355\) 1.78303e6 1.02943e6i 0.750909 0.433538i
\(356\) −545567. + 75337.7i −0.228151 + 0.0315056i
\(357\) −1.73422e6 2.46195e6i −0.720168 1.02237i
\(358\) 754188. + 657198.i 0.311008 + 0.271012i
\(359\) 3.42554e6 1.40279 0.701395 0.712773i \(-0.252561\pi\)
0.701395 + 0.712773i \(0.252561\pi\)
\(360\) −1.46053e6 + 1.10523e6i −0.593955 + 0.449465i
\(361\) −2.32639e6 −0.939537
\(362\) −1.61219e6 1.40486e6i −0.646612 0.563457i
\(363\) −1.20715e6 + 109036.i −0.480833 + 0.0434314i
\(364\) −3.43075e6 + 473754.i −1.35717 + 0.187413i
\(365\) 1.89796e6 1.09579e6i 0.745685 0.430521i
\(366\) −350346. + 3.38584e6i −0.136708 + 1.32118i
\(367\) −2.06081e6 1.18981e6i −0.798681 0.461119i 0.0443284 0.999017i \(-0.485885\pi\)
−0.843010 + 0.537898i \(0.819219\pi\)
\(368\) −404762. 394652.i −0.155804 0.151913i
\(369\) 659990. + 236018.i 0.252331 + 0.0902359i
\(370\) −661623. 129432.i −0.251250 0.0491515i
\(371\) 1.34353e6 2.32707e6i 0.506774 0.877758i
\(372\) 4.56845e6 1.05669e6i 1.71164 0.395904i
\(373\) −427217. 739962.i −0.158992 0.275383i 0.775513 0.631331i \(-0.217491\pi\)
−0.934506 + 0.355948i \(0.884158\pi\)
\(374\) −755542. 2.20285e6i −0.279306 0.814341i
\(375\) −2.66022e6 1.23138e6i −0.976877 0.452182i
\(376\) −583541. 1.15554e6i −0.212864 0.421519i
\(377\) 1.87977e6i 0.681162i
\(378\) 1.64020e6 + 2.39411e6i 0.590428 + 0.861817i
\(379\) 245030.i 0.0876236i 0.999040 + 0.0438118i \(0.0139502\pi\)
−0.999040 + 0.0438118i \(0.986050\pi\)
\(380\) 2.30527e6 1.79217e6i 0.818961 0.636678i
\(381\) 4.28151e6 + 1.98185e6i 1.51107 + 0.699453i
\(382\) −107943. + 37022.6i −0.0378472 + 0.0129810i
\(383\) 2.42922e6 + 4.20753e6i 0.846193 + 1.46565i 0.884581 + 0.466387i \(0.154444\pi\)
−0.0383880 + 0.999263i \(0.512222\pi\)
\(384\) −2.13649e6 1.94547e6i −0.739387 0.673280i
\(385\) 813772. 1.40949e6i 0.279802 0.484631i
\(386\) −629008. + 3.21533e6i −0.214876 + 1.09839i
\(387\) 283439. + 1.55619e6i 0.0962015 + 0.528183i
\(388\) 2.52305e6 + 1.02644e6i 0.850836 + 0.346141i
\(389\) −475223. 274370.i −0.159229 0.0919312i 0.418268 0.908324i \(-0.362637\pi\)
−0.577497 + 0.816393i \(0.695971\pi\)
\(390\) −2.91861e6 302000.i −0.971660 0.100542i
\(391\) 681973. 393737.i 0.225593 0.130246i
\(392\) 277437. + 15543.1i 0.0911904 + 0.00510883i
\(393\) −3.67611e6 + 332046.i −1.20062 + 0.108447i
\(394\) −1.98849e6 + 2.28195e6i −0.645332 + 0.740570i
\(395\) 62555.8 0.0201732
\(396\) 700392. + 2.13216e6i 0.224442 + 0.683254i
\(397\) 367984. 0.117180 0.0585899 0.998282i \(-0.481340\pi\)
0.0585899 + 0.998282i \(0.481340\pi\)
\(398\) 1.13110e6 1.29802e6i 0.357925 0.410747i
\(399\) −2.66435e6 3.78239e6i −0.837837 1.18942i
\(400\) 351292. 1.38065e6i 0.109779 0.431452i
\(401\) −114412. + 66055.8i −0.0355313 + 0.0205140i −0.517660 0.855586i \(-0.673197\pi\)
0.482129 + 0.876100i \(0.339864\pi\)
\(402\) −2.20955e6 + 3.05152e6i −0.681928 + 0.941783i
\(403\) 6.50550e6 + 3.75595e6i 1.99535 + 1.15201i
\(404\) 2.00145e6 4.91968e6i 0.610086 1.49963i
\(405\) 866883. + 2.30081e6i 0.262617 + 0.697017i
\(406\) −345988. + 1.76861e6i −0.104171 + 0.532495i
\(407\) −413031. + 715390.i −0.123594 + 0.214071i
\(408\) 3.41514e6 2.13026e6i 1.01568 0.633553i
\(409\) 2.64952e6 + 4.58910e6i 0.783176 + 1.35650i 0.930083 + 0.367350i \(0.119735\pi\)
−0.146907 + 0.989150i \(0.546932\pi\)
\(410\) 642660. 220422.i 0.188808 0.0647583i
\(411\) −3.79997e6 + 2.67674e6i −1.10962 + 0.781630i
\(412\) −851884. 1.09578e6i −0.247251 0.318039i
\(413\) 6.67213e6i 1.92482i
\(414\) −662095. + 370846.i −0.189854 + 0.106339i
\(415\) 3.77458e6i 1.07584i
\(416\) −375731. 4.61377e6i −0.106450 1.30714i
\(417\) 374796. + 4.14939e6i 0.105549 + 1.16854i
\(418\) −1.16077e6 3.38433e6i −0.324942 0.947396i
\(419\) −1.83475e6 3.17789e6i −0.510555 0.884307i −0.999925 0.0122310i \(-0.996107\pi\)
0.489370 0.872076i \(1.66277\pi\)
\(420\) 2.69043e6 + 821338.i 0.744215 + 0.227195i
\(421\) 1.97391e6 3.41891e6i 0.542777 0.940118i −0.455966 0.889997i \(-0.650706\pi\)
0.998743 0.0501208i \(-0.0159606\pi\)
\(422\) −332555. 65057.0i −0.0909039 0.0177833i
\(423\) −1.70965e6 + 311389.i −0.464574 + 0.0846161i
\(424\) 3.00504e6 + 1.96694e6i 0.811775 + 0.531344i
\(425\) 1.71862e6 + 992247.i 0.461539 + 0.266470i
\(426\) 3.98043e6 1.77990e6i 1.06269 0.475194i
\(427\) 4.52747e6 2.61393e6i 1.20167 0.693785i
\(428\) −399457. 2.89272e6i −0.105405 0.763302i
\(429\) −1.51026e6 + 3.26271e6i −0.396195 + 0.855924i
\(430\) 1.15594e6 + 1.00729e6i 0.301485 + 0.262713i
\(431\) 1.88580e6 0.488992 0.244496 0.969650i \(-0.421377\pi\)
0.244496 + 0.969650i \(0.421377\pi\)
\(432\) −3.31759e6 + 2.00986e6i −0.855289 + 0.518152i
\(433\) −5.20620e6 −1.33445 −0.667223 0.744858i \(-0.732517\pi\)
−0.667223 + 0.744858i \(0.732517\pi\)
\(434\) −5.42947e6 4.73124e6i −1.38367 1.20573i
\(435\) −641359. + 1.38557e6i −0.162509 + 0.351079i
\(436\) −107788. 780557.i −0.0271552 0.196647i
\(437\) 1.04774e6 604915.i 0.262453 0.151527i
\(438\) 4.23701e6 1.89463e6i 1.05529 0.471888i
\(439\) −451670. 260772.i −0.111856 0.0645802i 0.443028 0.896508i \(-0.353904\pi\)
−0.554884 + 0.831928i \(0.687237\pi\)
\(440\) 1.82014e6 + 1.19136e6i 0.448201 + 0.293368i
\(441\) 125603. 351232.i 0.0307543 0.0859998i
\(442\) 6.32823e6 + 1.23798e6i 1.54073 + 0.301410i
\(443\) −2.99887e6 + 5.19420e6i −0.726020 + 1.25750i 0.232533 + 0.972588i \(0.425299\pi\)
−0.958553 + 0.284915i \(0.908035\pi\)
\(444\) −1.36553e6 416871.i −0.328733 0.100356i
\(445\) 358314. + 620618.i 0.0857756 + 0.148568i
\(446\) −1.18099e6 3.44327e6i −0.281130 0.819660i
\(447\) −5474.50 60608.6i −0.00129591 0.0143471i
\(448\) −495695. + 4.41009e6i −0.116686 + 1.03813i
\(449\) 3.49455e6i 0.818043i 0.912525 + 0.409021i \(0.134130\pi\)
−0.912525 + 0.409021i \(0.865870\pi\)
\(450\) −1.64362e6 977707.i −0.382621 0.227603i
\(451\) 832488.i 0.192724i
\(452\) 2.01089e6 + 2.58662e6i 0.462960 + 0.595506i
\(453\) 960812. 676806.i 0.219985 0.154960i
\(454\) −7.52051e6 + 2.57941e6i −1.71241 + 0.587329i
\(455\) 2.25322e6 + 3.90270e6i 0.510241 + 0.883764i
\(456\) 5.24682e6 3.27281e6i 1.18164 0.737070i
\(457\) −2.09651e6 + 3.63125e6i −0.469576 + 0.813329i −0.999395 0.0347818i \(-0.988926\pi\)
0.529819 + 0.848111i \(0.322260\pi\)
\(458\) −1.05198e6 + 5.37744e6i −0.234338 + 1.19788i
\(459\) −1.44248e6 5.20714e6i −0.319579 1.15363i
\(460\) −277195. + 681361.i −0.0610788 + 0.150135i
\(461\) −2.09347e6 1.20867e6i −0.458791 0.264883i 0.252744 0.967533i \(-0.418667\pi\)
−0.711536 + 0.702650i \(0.752000\pi\)
\(462\) 2.02148e6 2.79179e6i 0.440621 0.608524i
\(463\) −1.58353e6 + 914250.i −0.343299 + 0.198204i −0.661730 0.749742i \(-0.730178\pi\)
0.318431 + 0.947946i \(0.396844\pi\)
\(464\) −2.33435e6 593952.i −0.503351 0.128073i
\(465\) −3.51368e6 4.98811e6i −0.753580 1.06980i
\(466\) −1.27048e6 + 1.45798e6i −0.271022 + 0.311020i
\(467\) 200614. 0.0425666 0.0212833 0.999773i \(-0.493225\pi\)
0.0212833 + 0.999773i \(0.493225\pi\)
\(468\) −6.08237e6 1.27236e6i −1.28368 0.268531i
\(469\) 5.78624e6 1.21469
\(470\) −1.10662e6 + 1.26993e6i −0.231075 + 0.265177i
\(471\) 6.60947e6 597003.i 1.37282 0.124001i
\(472\) −8.90400e6 498835.i −1.83963 0.103063i
\(473\) 1.62700e6 939349.i 0.334376 0.193052i
\(474\) 131777. + 13635.5i 0.0269397 + 0.00278756i
\(475\) 2.64039e6 + 1.52443e6i 0.536950 + 0.310008i
\(476\) −5.72614e6 2.32954e6i −1.15836 0.471251i
\(477\) 3.67580e6 3.11979e6i 0.739701 0.627812i
\(478\) 82830.9 423411.i 0.0165815 0.0847602i
\(479\) −1.61867e6 + 2.80363e6i −0.322345 + 0.558318i −0.980971 0.194152i \(-0.937804\pi\)
0.658626 + 0.752470i \(0.271138\pi\)
\(480\) −1.29723e6 + 3.52899e6i −0.256988 + 0.699112i
\(481\) −1.14363e6 1.98082e6i −0.225383 0.390375i
\(482\) 4.83103e6 1.65696e6i 0.947157 0.324859i
\(483\) 1.05770e6 + 489593.i 0.206297 + 0.0954921i
\(484\) −1.96434e6 + 1.52712e6i −0.381157 + 0.296320i
\(485\) 3.54427e6i 0.684182i
\(486\) 1.32462e6 + 5.03573e6i 0.254390 + 0.967102i
\(487\) 1.36527e6i 0.260853i −0.991458 0.130427i \(-0.958365\pi\)
0.991458 0.130427i \(-0.0416347\pi\)
\(488\) 3.14982e6 + 6.23736e6i 0.598737 + 1.18564i
\(489\) 2.72944e6 + 1.26342e6i 0.516180 + 0.238932i
\(490\) −117304. 342009.i −0.0220710 0.0643499i
\(491\) −3.51968e6 6.09627e6i −0.658870 1.14120i −0.980908 0.194470i \(-0.937701\pi\)
0.322038 0.946727i \(1.60437\pi\)
\(492\) 1.40184e6 324247.i 0.261088 0.0603898i
\(493\) 1.67766e6 2.90579e6i 0.310875 0.538451i
\(494\) 9.72231e6 + 1.90195e6i 1.79247 + 0.350657i
\(495\) 2.22641e6 1.88964e6i 0.408407 0.346630i
\(496\) 6.71980e6 6.89194e6i 1.22646 1.25787i
\(497\) −5.79947e6 3.34833e6i −1.05317 0.608047i
\(498\) 822756. 7.95134e6i 0.148661 1.43670i
\(499\) −1.49355e6 + 862300.i −0.268515 + 0.155027i −0.628212 0.778042i \(-0.716213\pi\)
0.359698 + 0.933069i \(0.382880\pi\)
\(500\) −5.96100e6 + 823159.i −1.06634 + 0.147251i
\(501\) −5.62667e6 + 508232.i −1.00151 + 0.0904622i
\(502\) −988815. 861652.i −0.175128 0.152606i
\(503\) −2.08993e6 −0.368308 −0.184154 0.982897i \(-0.558955\pi\)
−0.184154 + 0.982897i \(0.558955\pi\)
\(504\) 5.48849e6 + 2.31663e6i 0.962447 + 0.406238i
\(505\) −6.91095e6 −1.20589
\(506\) 679527. + 592139.i 0.117986 + 0.102813i
\(507\) −2.39970e6 3.40667e6i −0.414607 0.588587i
\(508\) 9.59398e6 1.32484e6i 1.64945 0.227774i
\(509\) 6.20766e6 3.58399e6i 1.06202 0.613158i 0.136030 0.990705i \(-0.456565\pi\)
0.925991 + 0.377546i \(0.123232\pi\)
\(510\) −4.24212e6 3.07164e6i −0.722200 0.522932i
\(511\) −6.17331e6 3.56416e6i −1.04584 0.603816i
\(512\) −5.84823e6 991225.i −0.985939 0.167108i
\(513\) −2.21614e6 7.99995e6i −0.371796 1.34213i
\(514\) −2.60075e6 508779.i −0.434201 0.0849419i
\(515\) −903008. + 1.56406e6i −0.150028 + 0.259857i
\(516\) 2.21549e6 + 2.37387e6i 0.366307 + 0.392493i
\(517\) 1.03198e6 + 1.78744e6i 0.169803 + 0.294107i
\(518\) 711409. + 2.07418e6i 0.116492 + 0.339642i
\(519\) 3.61844e6 2.54886e6i 0.589661 0.415363i
\(520\) −5.37663e6 + 2.71516e6i −0.871971 + 0.440339i
\(521\) 2.41840e6i 0.390332i 0.980770 + 0.195166i \(0.0625245\pi\)
−0.980770 + 0.195166i \(0.937475\pi\)
\(522\) −1.65307e6 + 2.77897e6i −0.265531 + 0.446383i
\(523\) 461380.i 0.0737572i −0.999320 0.0368786i \(-0.988259\pi\)
0.999320 0.0368786i \(-0.0117415\pi\)
\(524\) −5.98198e6 + 4.65052e6i −0.951736 + 0.739901i
\(525\) 264227. + 2.92528e6i 0.0418387 + 0.463200i
\(526\) 894567. 306822.i 0.140977 0.0483529i
\(527\) 6.70423e6 + 1.16121e7i 1.05153 + 1.82131i
\(528\) 3.57453e6 + 2.90641e6i 0.557999 + 0.453703i
\(529\) 3.06578e6 5.31009e6i 0.476324 0.825017i
\(530\) 897220. 4.58636e6i 0.138742 0.709216i
\(531\) −4.03109e6 + 1.12724e7i −0.620421 + 1.73492i
\(532\) −8.79730e6 3.57896e6i −1.34763 0.548249i
\(533\) 1.99623e6 + 1.15252e6i 0.304363 + 0.175724i
\(534\) 619528. + 1.38547e6i 0.0940174 + 0.210253i
\(535\) −3.29065e6 + 1.89986e6i −0.497047 + 0.286970i
\(536\) −432602. + 7.72177e6i −0.0650395 + 1.16093i
\(537\) 1.15798e6 2.50164e6i 0.173286 0.374360i
\(538\) 625240. 717513.i 0.0931303 0.106874i
\(539\) −443032. −0.0656845
\(540\) 4.04917e6 + 3.01310e6i 0.597560 + 0.444661i
\(541\) −7.63668e6 −1.12179 −0.560895 0.827887i \(-0.689543\pi\)
−0.560895 + 0.827887i \(0.689543\pi\)
\(542\) 906643. 1.04045e6i 0.132568 0.152132i
\(543\) −2.47534e6 + 5.34763e6i −0.360276 + 0.778327i
\(544\) 3.53689e6 7.46741e6i 0.512418 1.08186i
\(545\) −887934. + 512649.i −0.128053 + 0.0739314i
\(546\) 3.89585e6 + 8.71237e6i 0.559268 + 1.25070i
\(547\) −7.86985e6 4.54366e6i −1.12460 0.649288i −0.182029 0.983293i \(-0.558267\pi\)
−0.942571 + 0.334005i \(0.891600\pi\)
\(548\) −3.59560e6 + 8.83820e6i −0.511470 + 1.25722i
\(549\) 9.22827e6 1.68081e6i 1.30674 0.238006i
\(550\) −436084. + 2.22915e6i −0.0614700 + 0.314219i
\(551\) 2.57745e6 4.46427e6i 0.361669 0.626429i
\(552\) −732443. + 1.37490e6i −0.102312 + 0.192054i
\(553\) −101734. 176209.i −0.0141467 0.0245028i
\(554\) 8.04926e6 2.76077e6i 1.11425 0.382169i
\(555\) 167124. + 1.85025e6i 0.0230307 + 0.254975i
\(556\) 5.24926e6 + 6.75214e6i 0.720131 + 0.926306i
\(557\) 1.62713e6i 0.222220i −0.993808 0.111110i \(-0.964559\pi\)
0.993808 0.111110i \(-0.0354406\pi\)
\(558\) −6.31446e6 1.12736e7i −0.858521 1.53277i
\(559\) 5.20186e6i 0.704092i
\(560\) 5.55843e6 1.56498e6i 0.749001 0.210881i
\(561\) −5.24650e6 + 3.69569e6i −0.703822 + 0.495779i
\(562\) 1.33044e6 + 3.87902e6i 0.177687 + 0.518061i
\(563\) −6.45320e6 1.11773e7i −0.858033 1.48616i −0.873802 0.486282i \(-0.838353\pi\)
0.0157688 0.999876i \(1.50502\pi\)
\(564\) −2.60796e6 + 2.43396e6i −0.345226 + 0.322193i
\(565\) 2.13157e6 3.69199e6i 0.280918 0.486564i
\(566\) 1.34855e6 + 263814.i 0.176940 + 0.0346144i
\(567\) 5.07119e6 6.18367e6i 0.662449 0.807772i
\(568\) 4.90196e6 7.48910e6i 0.637527 0.974000i
\(569\) 8.53066e6 + 4.92518e6i 1.10459 + 0.637737i 0.937423 0.348191i \(-0.113204\pi\)
0.167169 + 0.985928i \(0.446537\pi\)
\(570\) −6.51734e6 4.71908e6i −0.840201 0.608374i
\(571\) 1.17778e7 6.79994e6i 1.51173 0.872800i 0.511829 0.859088i \(-0.328968\pi\)
0.999906 0.0137129i \(-0.00436509\pi\)
\(572\) 1.00959e6 + 7.31105e6i 0.129019 + 0.934308i
\(573\) 181094. + 257085.i 0.0230418 + 0.0327108i
\(574\) −1.66605e6 1.45179e6i −0.211061 0.183918i
\(575\) −768060. −0.0968781
\(576\) −3.50190e6 + 7.15123e6i −0.439792 + 0.898100i
\(577\) 3.44416e6 0.430670 0.215335 0.976540i \(-0.430916\pi\)
0.215335 + 0.976540i \(0.430916\pi\)
\(578\) 2.62201e6 + 2.28482e6i 0.326449 + 0.284467i
\(579\) 8.99176e6 812184.i 1.11467 0.100683i
\(580\) 428739. + 3.10477e6i 0.0529204 + 0.383230i
\(581\) −1.06323e7 + 6.13859e6i −1.30674 + 0.754446i
\(582\) 772555. 7.46617e6i 0.0945414 0.913673i
\(583\) −4.95907e6 2.86312e6i −0.604267 0.348874i
\(584\) 5.21793e6 7.97184e6i 0.633092 0.967223i
\(585\) 1.44886e6 + 7.95481e6i 0.175040 + 0.961037i
\(586\) 1.47429e6 + 288413.i 0.177354 + 0.0346953i
\(587\) 7.32525e6 1.26877e7i 0.877460 1.51981i 0.0233408 0.999728i \(-0.492570\pi\)
0.854119 0.520078i \(-0.174097\pi\)
\(588\) −172557. 746029.i −0.0205821 0.0889841i
\(589\) 1.03000e7 + 1.78401e7i 1.22334 + 2.11889i
\(590\) 3.76472e6 + 1.09764e7i 0.445248 + 1.29816i
\(591\) 7.56925e6 + 3.50369e6i 0.891423 + 0.412627i
\(592\) −2.82119e6 + 794306.i −0.330848 + 0.0931502i
\(593\) 1.18054e7i 1.37862i −0.724469 0.689308i \(-0.757915\pi\)
0.724469 0.689308i \(-0.242085\pi\)
\(594\) 5.10194e6 3.49533e6i 0.593293 0.406463i
\(595\) 8.04383e6i 0.931474i
\(596\) −76674.0 98625.9i −0.00884163 0.0113730i
\(597\) −4.30555e6 1.99298e6i −0.494416 0.228858i
\(598\) −2.36065e6 + 809666.i −0.269947 + 0.0925876i
\(599\) 943021. + 1.63336e6i 0.107388 + 0.186001i 0.914711 0.404108i \(-0.132418\pi\)
−0.807324 + 0.590109i \(0.799085\pi\)
\(600\) −3.92355e6 + 133907.i −0.444940 + 0.0151853i
\(601\) −858918. + 1.48769e6i −0.0969987 + 0.168007i −0.910441 0.413639i \(-0.864258\pi\)
0.813442 + 0.581646i \(0.197591\pi\)
\(602\) 957450. 4.89424e6i 0.107677 0.550420i
\(603\) 9.77567e6 + 3.49586e6i 1.09485 + 0.391526i
\(604\) 909137. 2.23471e6i 0.101400 0.249247i
\(605\) 2.80379e6 + 1.61877e6i 0.311428 + 0.179803i
\(606\) −1.45583e7 1.50640e6i −1.61038 0.166632i
\(607\) −1.49264e7 + 8.61776e6i −1.64431 + 0.949342i −0.665031 + 0.746816i \(0.731582\pi\)
−0.979277 + 0.202526i \(0.935085\pi\)
\(608\) 5.43387e6 1.14725e7i 0.596143 1.25863i
\(609\) 4.94595e6 446745.i 0.540389 0.0488109i
\(610\) 5.97327e6 6.85480e6i 0.649961 0.745882i
\(611\) −5.71483e6 −0.619299
\(612\) −8.26671e6 7.39523e6i −0.892183 0.798130i
\(613\) −1.32119e7 −1.42009 −0.710043 0.704158i \(-0.751325\pi\)
−0.710043 + 0.704158i \(0.751325\pi\)
\(614\) −411381. + 472092.i −0.0440375 + 0.0505366i
\(615\) −1.07818e6 1.53062e6i −0.114949 0.163184i
\(616\) 395781. 7.06453e6i 0.0420246 0.750121i
\(617\) −1.07234e7 + 6.19114e6i −1.13401 + 0.654723i −0.944941 0.327240i \(-0.893882\pi\)
−0.189073 + 0.981963i \(0.560548\pi\)
\(618\) −2.24315e6 + 3.09793e6i −0.236259 + 0.326288i
\(619\) 7.38732e6 + 4.26507e6i 0.774927 + 0.447404i 0.834629 0.550812i \(-0.185682\pi\)
−0.0597027 + 0.998216i \(0.519015\pi\)
\(620\) −1.16016e7 4.71984e6i −1.21211 0.493115i
\(621\) 1.49115e6 + 1.46618e6i 0.155165 + 0.152566i
\(622\) −1.85323e6 + 9.47323e6i −0.192067 + 0.981798i
\(623\) 1.16545e6 2.01862e6i 0.120302 0.208370i
\(624\) −1.19180e7 + 4.54766e6i −1.22530 + 0.467548i
\(625\) 1.74120e6 + 3.01585e6i 0.178299 + 0.308824i
\(626\) −1.40724e7 + 4.82662e6i −1.43527 + 0.492275i
\(627\) −8.06041e6 + 5.67784e6i −0.818820 + 0.576785i
\(628\) 1.07553e7 8.36143e6i 1.08824 0.846022i
\(629\) 4.08266e6i 0.411449i
\(630\) 100972. 7.75107e6i 0.0101356 0.778055i
\(631\) 9.17098e6i 0.916943i 0.888709 + 0.458471i \(0.151603\pi\)
−0.888709 + 0.458471i \(0.848397\pi\)
\(632\) 242758. 122591.i 0.0241758 0.0122086i
\(633\) 84002.5 + 929999.i 0.00833265 + 0.0922515i
\(634\) −4.85975e6 1.41690e7i −0.480166 1.39997i
\(635\) −6.30107e6 1.09138e7i −0.620126 1.07409i
\(636\) 2.88974e6 9.46583e6i 0.283280 0.927932i
\(637\) 613347. 1.06235e6i 0.0598905 0.103733i
\(638\) 3.76897e6 + 737314.i 0.366581 + 0.0717135i
\(639\) −7.77508e6 9.16076e6i −0.753273 0.887522i
\(640\) 1.67290e6 + 7.53477e6i 0.161443 + 0.727143i
\(641\) 216859. + 125204.i 0.0208465 + 0.0120357i 0.510387 0.859945i \(-0.329502\pi\)
−0.489541 + 0.871981i \(0.662835\pi\)
\(642\) −7.34605e6 + 3.28488e6i −0.703422 + 0.314544i
\(643\) −3.00455e6 + 1.73468e6i −0.286584 + 0.165459i −0.636400 0.771359i \(-0.719577\pi\)
0.349816 + 0.936818i \(0.386244\pi\)
\(644\) 2.37008e6 327286.i 0.225190 0.0310966i
\(645\) 1.77483e6 3.83427e6i 0.167980 0.362897i
\(646\) 1.33315e7 + 1.16171e7i 1.25689 + 1.09525i
\(647\) 4.87131e6 0.457493 0.228747 0.973486i \(-0.426537\pi\)
0.228747 + 0.973486i \(0.426537\pi\)
\(648\) 7.87301e6 + 7.22985e6i 0.736551 + 0.676382i
\(649\) 1.42186e7 1.32509
\(650\) −4.74156e6 4.13179e6i −0.440188 0.383579i
\(651\) −8.33638e6 + 1.80096e7i −0.770948 + 1.66553i
\(652\) 6.11610e6 844576.i 0.563450 0.0778072i
\(653\) −7.97278e6 + 4.60308e6i −0.731689 + 0.422441i −0.819040 0.573737i \(-0.805493\pi\)
0.0873507 + 0.996178i \(0.472160\pi\)
\(654\) −1.98222e6 + 886375.i −0.181221 + 0.0810351i
\(655\) 8.53834e6 + 4.92961e6i 0.777625 + 0.448962i
\(656\) 2.06199e6 2.11481e6i 0.187080 0.191872i
\(657\) −8.27626e6 9.75125e6i −0.748033 0.881347i
\(658\) 5.37688e6 + 1.05187e6i 0.484134 + 0.0947100i
\(659\) 2.00586e6 3.47426e6i 0.179923 0.311636i −0.761931 0.647659i \(-0.775748\pi\)
0.941854 + 0.336022i \(0.109082\pi\)
\(660\) 1.75030e6 5.73340e6i 0.156406 0.512334i
\(661\) −9.68338e6 1.67721e7i −0.862032 1.49308i −0.869965 0.493114i \(-0.835858\pi\)
0.00793270 0.999969i \(-0.497475\pi\)
\(662\) −641089. 1.86915e6i −0.0568556 0.165768i
\(663\) −1.59849e6 1.76971e7i −0.141230 1.56357i
\(664\) −7.39707e6 1.46479e7i −0.651088 1.28930i
\(665\) 1.23581e7i 1.08367i
\(666\) −51248.4 + 3.93407e6i −0.00447708 + 0.343682i
\(667\) 1.29861e6i 0.113022i
\(668\) −9.15606e6 + 7.11812e6i −0.793903 + 0.617198i
\(669\) −8.20079e6 + 5.77672e6i −0.708419 + 0.499018i
\(670\) 9.51898e6 3.26486e6i 0.819225 0.280981i
\(671\) −5.57039e6 9.64820e6i −0.477617 0.827256i
\(672\) 1.20502e7 2.08511e6i 1.02937 0.178118i
\(673\) 478155. 828188.i 0.0406940 0.0704841i −0.844961 0.534828i \(-0.820376\pi\)
0.885655 + 0.464344i \(0.153710\pi\)
\(674\) −1.18855e6 + 6.07558e6i −0.100779 + 0.515155i
\(675\) −1.32096e6 + 5.10180e6i −0.111591 + 0.430987i
\(676\) −7.92344e6 3.22345e6i −0.666879 0.271303i
\(677\) −78941.9 45577.1i −0.00661966 0.00382186i 0.496687 0.867930i \(-0.334550\pi\)
−0.503306 + 0.864108i \(0.667883\pi\)
\(678\) 5.29502e6 7.31275e6i 0.442378 0.610951i
\(679\) −9.98360e6 + 5.76403e6i −0.831022 + 0.479791i
\(680\) −1.07345e7 601389.i −0.890249 0.0498751i
\(681\) 1.26170e7 + 1.79115e7i 1.04253 + 1.48001i
\(682\) −1.00824e7 + 1.15704e7i −0.830052 + 0.952551i
\(683\) −44851.1 −0.00367893 −0.00183946 0.999998i \(-0.500586\pi\)
−0.00183946 + 0.999998i \(0.500586\pi\)
\(684\) −1.27005e7 1.13616e7i −1.03796 0.928537i
\(685\) 1.24155e7 1.01097
\(686\) 7.68663e6 8.82103e6i 0.623628 0.715664i
\(687\) 1.50382e7 1.35833e6i 1.21563 0.109803i
\(688\) 6.45982e6 + 1.64364e6i 0.520294 + 0.132384i
\(689\) 1.37310e7 7.92760e6i 1.10193 0.636200i
\(690\) 2.01628e6 + 208632.i 0.161223 + 0.0166824i
\(691\) 6.31486e6 + 3.64589e6i 0.503116 + 0.290474i 0.730000 0.683448i \(-0.239520\pi\)
−0.226883 + 0.973922i \(0.572854\pi\)
\(692\) 3.42383e6 8.41597e6i 0.271798 0.668096i
\(693\) −8.94361e6 3.19831e6i −0.707424 0.252981i
\(694\) 24357.7 124511.i 0.00191972 0.00981314i
\(695\) 5.56429e6 9.63763e6i 0.436966 0.756847i
\(696\) 226405. + 6.63380e6i 0.0177159 + 0.519086i
\(697\) 2.05721e6 + 3.56319e6i 0.160397 + 0.277816i
\(698\) 4.01326e6 1.37649e6i 0.311788 0.106938i
\(699\) 4.83614e6 + 2.23858e6i 0.374374 + 0.173292i
\(700\) 3.70067e6 + 4.76018e6i 0.285454 + 0.367180i
\(701\) 6.04705e6i 0.464781i −0.972623 0.232390i \(-0.925345\pi\)
0.972623 0.232390i \(-0.0746547\pi\)
\(702\) 1.31817e6 + 1.70730e7i 0.100955 + 1.30758i
\(703\) 6.27235e6i 0.478676i
\(704\) 9.39807e6 + 1.05635e6i 0.714673 + 0.0803294i
\(705\) 4.21237e6 + 1.94985e6i 0.319194 + 0.147750i
\(706\) 6.08082e6 + 1.77292e7i 0.459145 + 1.33868i
\(707\) 1.12393e7 + 1.94670e7i 0.845648 + 1.46470i
\(708\) 5.53802e6 + 2.39429e7i 0.415213 + 1.79512i
\(709\) −5.58690e6 + 9.67680e6i −0.417403 + 0.722963i −0.995677 0.0928793i \(-0.970393\pi\)
0.578275 + 0.815842i \(0.303726\pi\)
\(710\) −1.14300e7 2.23603e6i −0.850945 0.166469i
\(711\) −65417.1 359164.i −0.00485308 0.0266452i
\(712\) 2.60673e6 + 1.70622e6i 0.192706 + 0.126135i
\(713\) −4.49423e6 2.59474e6i −0.331079 0.191148i
\(714\) −1.75334e6 + 1.69447e7i −0.128712 + 1.24391i
\(715\) 8.31680e6 4.80170e6i 0.608402 0.351261i
\(716\) −774090. 5.60566e6i −0.0564298 0.408643i
\(717\) −1.18408e6 + 106952.i −0.0860167 + 0.00776949i
\(718\) −1.46093e7 1.27305e7i −1.05759 0.921585i
\(719\) 2.24464e6 0.161929 0.0809644 0.996717i \(-0.474200\pi\)
0.0809644 + 0.996717i \(0.474200\pi\)
\(720\) 1.03363e7 + 714249.i 0.743078 + 0.0513474i
\(721\) 5.87424e6 0.420837
\(722\) 9.92161e6 + 8.64568e6i 0.708336 + 0.617243i
\(723\) −8.10494e6 1.15060e7i −0.576639 0.818613i
\(724\) 1.65473e6 + 1.19829e7i 0.117322 + 0.849604i
\(725\) −2.83415e6 + 1.63629e6i −0.200252 + 0.115616i
\(726\) 5.55349e6 + 4.02118e6i 0.391043 + 0.283147i
\(727\) −1.30240e7 7.51942e6i −0.913922 0.527653i −0.0322308 0.999480i \(-0.510261\pi\)
−0.881691 + 0.471827i \(0.843595\pi\)
\(728\) 1.63922e7 + 1.07294e7i 1.14632 + 0.750322i
\(729\) 1.23036e7 7.38327e6i 0.857459 0.514553i
\(730\) −1.21668e7 2.38017e6i −0.845025 0.165310i
\(731\) −4.64256e6 + 8.04115e6i −0.321339 + 0.556576i
\(732\) 1.40772e7 1.31380e7i 0.971040 0.906256i
\(733\) −4.89083e6 8.47117e6i −0.336220 0.582349i 0.647499 0.762067i \(-0.275815\pi\)
−0.983718 + 0.179717i \(0.942482\pi\)
\(734\) 4.36723e6 + 1.27331e7i 0.299203 + 0.872353i
\(735\) −814559. + 573784.i −0.0556166 + 0.0391769i
\(736\) 259568. + 3.18736e6i 0.0176627 + 0.216888i
\(737\) 1.23307e7i 0.836216i
\(738\) −1.93761e6 3.45933e6i −0.130956 0.233804i
\(739\) 2.52855e7i 1.70318i −0.524209 0.851590i \(-0.675639\pi\)
0.524209 0.851590i \(-0.324361\pi\)
\(740\) 2.34069e6 + 3.01083e6i 0.157132 + 0.202119i
\(741\) −2.45583e6 2.71887e7i −0.164306 1.81904i
\(742\) −1.43782e7 + 4.93148e6i −0.958724 + 0.328827i
\(743\) 8.41816e6 + 1.45807e7i 0.559429 + 0.968959i 0.997544 + 0.0700405i \(0.0223129\pi\)
−0.438115 + 0.898919i \(0.644354\pi\)
\(744\) −2.34107e7 1.24714e7i −1.55053 0.826007i
\(745\) −81275.4 + 140773.i −0.00536498 + 0.00929242i
\(746\) −927960. + 4.74350e6i −0.0610495 + 0.312070i
\(747\) −2.16718e7 + 3.94723e6i −1.42100 + 0.258816i
\(748\) −4.96433e6 + 1.22026e7i −0.324419 + 0.797442i
\(749\) 1.07032e7 + 6.17948e6i 0.697120 + 0.402483i
\(750\) 6.76912e6 + 1.51380e7i 0.439419 + 0.982684i
\(751\) 1.43169e7 8.26588e6i 0.926296 0.534797i 0.0406577 0.999173i \(-0.487055\pi\)
0.885638 + 0.464376i \(0.153721\pi\)
\(752\) −1.80572e6 + 7.09684e6i −0.116441 + 0.457636i
\(753\) −1.51822e6 + 3.27990e6i −0.0975770 + 0.210801i
\(754\) −6.98589e6 + 8.01687e6i −0.447500 + 0.513542i
\(755\) −3.13923e6 −0.200427
\(756\) 1.90223e6 1.63060e7i 0.121048 1.03763i
\(757\) −3.08664e7 −1.95770 −0.978852 0.204572i \(-0.934420\pi\)
−0.978852 + 0.204572i \(0.934420\pi\)
\(758\) 910619. 1.04501e6i 0.0575657 0.0660612i
\(759\) 1.04334e6 2.25399e6i 0.0657388 0.142020i
\(760\) −1.64919e7 923939.i −1.03571 0.0580242i
\(761\) 2.02092e7 1.16678e7i 1.26499 0.730344i 0.290956 0.956736i <