Properties

Label 36.5.f.a.7.17
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.17
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.17

$q$-expansion

\(f(q)\) \(=\) \(q+(2.63137 - 3.01262i) q^{2} +(-8.65442 + 2.47004i) q^{3} +(-2.15179 - 15.8546i) q^{4} +(-10.5756 - 18.3175i) q^{5} +(-15.3317 + 32.5721i) q^{6} +(-38.6407 - 22.3092i) q^{7} +(-53.4262 - 35.2369i) q^{8} +(68.7978 - 42.7535i) q^{9} +O(q^{10})\) \(q+(2.63137 - 3.01262i) q^{2} +(-8.65442 + 2.47004i) q^{3} +(-2.15179 - 15.8546i) q^{4} +(-10.5756 - 18.3175i) q^{5} +(-15.3317 + 32.5721i) q^{6} +(-38.6407 - 22.3092i) q^{7} +(-53.4262 - 35.2369i) q^{8} +(68.7978 - 42.7535i) q^{9} +(-83.0119 - 16.3397i) q^{10} +(58.6904 + 33.8849i) q^{11} +(57.7841 + 131.898i) q^{12} +(14.5519 + 25.2046i) q^{13} +(-168.887 + 57.7061i) q^{14} +(136.770 + 132.405i) q^{15} +(-246.740 + 68.2318i) q^{16} +402.841 q^{17} +(52.2322 - 319.762i) q^{18} -644.741i q^{19} +(-267.660 + 207.088i) q^{20} +(389.517 + 97.6292i) q^{21} +(256.519 - 87.6483i) q^{22} +(-335.527 + 193.717i) q^{23} +(549.409 + 172.990i) q^{24} +(88.8138 - 153.830i) q^{25} +(114.223 + 22.4833i) q^{26} +(-489.802 + 539.940i) q^{27} +(-270.558 + 660.639i) q^{28} +(-362.210 + 627.366i) q^{29} +(758.779 - 63.6318i) q^{30} +(1090.90 - 629.833i) q^{31} +(-443.706 + 922.876i) q^{32} +(-591.628 - 148.287i) q^{33} +(1060.02 - 1213.61i) q^{34} +943.733i q^{35} +(-825.880 - 998.768i) q^{36} -1402.04 q^{37} +(-1942.36 - 1696.55i) q^{38} +(-188.194 - 182.187i) q^{39} +(-80.4363 + 1351.28i) q^{40} +(-774.166 - 1340.89i) q^{41} +(1319.08 - 916.570i) q^{42} +(-1620.98 - 935.875i) q^{43} +(410.944 - 1003.43i) q^{44} +(-1510.71 - 808.057i) q^{45} +(-299.300 + 1520.56i) q^{46} +(3610.63 + 2084.60i) q^{47} +(1966.85 - 1199.96i) q^{48} +(-205.097 - 355.239i) q^{49} +(-229.730 - 672.346i) q^{50} +(-3486.36 + 995.034i) q^{51} +(368.297 - 284.950i) q^{52} +906.566 q^{53} +(337.786 + 2896.37i) q^{54} -1433.41i q^{55} +(1278.32 + 2553.48i) q^{56} +(1592.54 + 5579.86i) q^{57} +(936.910 + 2742.03i) q^{58} +(3916.45 - 2261.16i) q^{59} +(1804.93 - 2453.35i) q^{60} +(-1314.22 + 2276.30i) q^{61} +(973.119 - 4943.80i) q^{62} +(-3612.19 + 117.200i) q^{63} +(1612.72 + 3765.15i) q^{64} +(307.789 - 533.107i) q^{65} +(-2003.52 + 1392.16i) q^{66} +(58.7165 - 33.9000i) q^{67} +(-866.831 - 6386.91i) q^{68} +(2425.30 - 2505.27i) q^{69} +(2843.11 + 2483.31i) q^{70} -1315.04i q^{71} +(-5182.11 - 140.062i) q^{72} +9470.72 q^{73} +(-3689.27 + 4223.80i) q^{74} +(-388.665 + 1550.68i) q^{75} +(-10222.1 + 1387.35i) q^{76} +(-1511.89 - 2618.67i) q^{77} +(-1044.07 + 87.5566i) q^{78} +(3783.95 + 2184.67i) q^{79} +(3859.25 + 3798.05i) q^{80} +(2905.28 - 5882.69i) q^{81} +(-6076.73 - 1196.12i) q^{82} +(659.925 + 381.008i) q^{83} +(709.715 - 6385.74i) q^{84} +(-4260.28 - 7379.03i) q^{85} +(-7084.84 + 2420.78i) q^{86} +(1585.10 - 6324.16i) q^{87} +(-1941.61 - 3878.41i) q^{88} +8083.40 q^{89} +(-6409.62 + 2424.91i) q^{90} -1298.56i q^{91} +(3793.29 + 4902.82i) q^{92} +(-7885.41 + 8145.41i) q^{93} +(15781.0 - 5392.11i) q^{94} +(-11810.0 + 6818.52i) q^{95} +(1560.48 - 9082.93i) q^{96} +(-3332.71 + 5772.42i) q^{97} +(-1609.89 - 316.884i) q^{98} +(5486.47 - 178.012i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.63137 3.01262i 0.657842 0.753156i
\(3\) −8.65442 + 2.47004i −0.961602 + 0.274449i
\(4\) −2.15179 15.8546i −0.134487 0.990915i
\(5\) −10.5756 18.3175i −0.423024 0.732698i 0.573210 0.819409i \(-0.305698\pi\)
−0.996234 + 0.0867102i \(0.972365\pi\)
\(6\) −15.3317 + 32.5721i −0.425879 + 0.904780i
\(7\) −38.6407 22.3092i −0.788586 0.455290i 0.0508787 0.998705i \(-0.483798\pi\)
−0.839464 + 0.543415i \(0.817131\pi\)
\(8\) −53.4262 35.2369i −0.834785 0.550576i
\(9\) 68.7978 42.7535i 0.849356 0.527821i
\(10\) −83.0119 16.3397i −0.830119 0.163397i
\(11\) 58.6904 + 33.8849i 0.485045 + 0.280041i 0.722516 0.691354i \(-0.242985\pi\)
−0.237472 + 0.971394i \(0.576319\pi\)
\(12\) 57.7841 + 131.898i 0.401279 + 0.915956i
\(13\) 14.5519 + 25.2046i 0.0861058 + 0.149140i 0.905862 0.423573i \(-0.139224\pi\)
−0.819756 + 0.572713i \(0.805891\pi\)
\(14\) −168.887 + 57.7061i −0.861669 + 0.294419i
\(15\) 136.770 + 132.405i 0.607868 + 0.588466i
\(16\) −246.740 + 68.2318i −0.963826 + 0.266531i
\(17\) 402.841 1.39391 0.696957 0.717113i \(-0.254537\pi\)
0.696957 + 0.717113i \(0.254537\pi\)
\(18\) 52.2322 319.762i 0.161211 0.986920i
\(19\) 644.741i 1.78599i −0.450070 0.892993i \(-0.648601\pi\)
0.450070 0.892993i \(-0.351399\pi\)
\(20\) −267.660 + 207.088i −0.669151 + 0.517719i
\(21\) 389.517 + 97.6292i 0.883259 + 0.221381i
\(22\) 256.519 87.6483i 0.529997 0.181092i
\(23\) −335.527 + 193.717i −0.634267 + 0.366194i −0.782403 0.622773i \(-0.786006\pi\)
0.148136 + 0.988967i \(0.452673\pi\)
\(24\) 549.409 + 172.990i 0.953836 + 0.300329i
\(25\) 88.8138 153.830i 0.142102 0.246128i
\(26\) 114.223 + 22.4833i 0.168969 + 0.0332593i
\(27\) −489.802 + 539.940i −0.671882 + 0.740658i
\(28\) −270.558 + 660.639i −0.345099 + 0.842652i
\(29\) −362.210 + 627.366i −0.430690 + 0.745977i −0.996933 0.0782617i \(-0.975063\pi\)
0.566243 + 0.824238i \(0.308396\pi\)
\(30\) 758.779 63.6318i 0.843088 0.0707020i
\(31\) 1090.90 629.833i 1.13517 0.655393i 0.189944 0.981795i \(-0.439169\pi\)
0.945231 + 0.326402i \(0.105836\pi\)
\(32\) −443.706 + 922.876i −0.433307 + 0.901246i
\(33\) −591.628 148.287i −0.543277 0.136168i
\(34\) 1060.02 1213.61i 0.916976 1.04983i
\(35\) 943.733i 0.770394i
\(36\) −825.880 998.768i −0.637253 0.770654i
\(37\) −1402.04 −1.02413 −0.512066 0.858946i \(-0.671120\pi\)
−0.512066 + 0.858946i \(0.671120\pi\)
\(38\) −1942.36 1696.55i −1.34513 1.17490i
\(39\) −188.194 182.187i −0.123731 0.119781i
\(40\) −80.4363 + 1351.28i −0.0502727 + 0.844552i
\(41\) −774.166 1340.89i −0.460539 0.797677i 0.538449 0.842658i \(-0.319010\pi\)
−0.998988 + 0.0449815i \(0.985677\pi\)
\(42\) 1319.08 916.570i 0.747780 0.519598i
\(43\) −1620.98 935.875i −0.876681 0.506152i −0.00711825 0.999975i \(-0.502266\pi\)
−0.869563 + 0.493823i \(0.835599\pi\)
\(44\) 410.944 1003.43i 0.212264 0.518300i
\(45\) −1510.71 808.057i −0.746031 0.399041i
\(46\) −299.300 + 1520.56i −0.141446 + 0.718599i
\(47\) 3610.63 + 2084.60i 1.63451 + 0.943683i 0.982679 + 0.185316i \(0.0593310\pi\)
0.651828 + 0.758367i \(0.274002\pi\)
\(48\) 1966.85 1199.96i 0.853668 0.520817i
\(49\) −205.097 355.239i −0.0854217 0.147955i
\(50\) −229.730 672.346i −0.0918920 0.268938i
\(51\) −3486.36 + 995.034i −1.34039 + 0.382558i
\(52\) 368.297 284.950i 0.136205 0.105381i
\(53\) 906.566 0.322736 0.161368 0.986894i \(-0.448409\pi\)
0.161368 + 0.986894i \(0.448409\pi\)
\(54\) 337.786 + 2896.37i 0.115839 + 0.993268i
\(55\) 1433.41i 0.473855i
\(56\) 1278.32 + 2553.48i 0.407627 + 0.814246i
\(57\) 1592.54 + 5579.86i 0.490162 + 1.71741i
\(58\) 936.910 + 2742.03i 0.278511 + 0.815111i
\(59\) 3916.45 2261.16i 1.12509 0.649573i 0.182397 0.983225i \(-0.441614\pi\)
0.942696 + 0.333652i \(0.108281\pi\)
\(60\) 1804.93 2453.35i 0.501369 0.681487i
\(61\) −1314.22 + 2276.30i −0.353190 + 0.611743i −0.986806 0.161904i \(-0.948236\pi\)
0.633617 + 0.773647i \(0.281570\pi\)
\(62\) 973.119 4943.80i 0.253153 1.28611i
\(63\) −3612.19 + 117.200i −0.910101 + 0.0295289i
\(64\) 1612.72 + 3765.15i 0.393731 + 0.919226i
\(65\) 307.789 533.107i 0.0728496 0.126179i
\(66\) −2003.52 + 1392.16i −0.459946 + 0.319595i
\(67\) 58.7165 33.9000i 0.0130801 0.00755179i −0.493446 0.869777i \(-0.664263\pi\)
0.506526 + 0.862225i \(0.330930\pi\)
\(68\) −866.831 6386.91i −0.187463 1.38125i
\(69\) 2425.30 2505.27i 0.509410 0.526206i
\(70\) 2843.11 + 2483.31i 0.580227 + 0.506798i
\(71\) 1315.04i 0.260869i −0.991457 0.130434i \(-0.958363\pi\)
0.991457 0.130434i \(-0.0416372\pi\)
\(72\) −5182.11 140.062i −0.999635 0.0270181i
\(73\) 9470.72 1.77720 0.888602 0.458680i \(-0.151678\pi\)
0.888602 + 0.458680i \(0.151678\pi\)
\(74\) −3689.27 + 4223.80i −0.673717 + 0.771330i
\(75\) −388.665 + 1550.68i −0.0690960 + 0.275677i
\(76\) −10222.1 + 1387.35i −1.76976 + 0.240192i
\(77\) −1511.89 2618.67i −0.255000 0.441672i
\(78\) −1044.07 + 87.5566i −0.171609 + 0.0143913i
\(79\) 3783.95 + 2184.67i 0.606305 + 0.350050i 0.771518 0.636207i \(-0.219498\pi\)
−0.165213 + 0.986258i \(0.552831\pi\)
\(80\) 3859.25 + 3798.05i 0.603008 + 0.593445i
\(81\) 2905.28 5882.69i 0.442810 0.896616i
\(82\) −6076.73 1196.12i −0.903737 0.177888i
\(83\) 659.925 + 381.008i 0.0957940 + 0.0553067i 0.547132 0.837047i \(-0.315720\pi\)
−0.451338 + 0.892353i \(0.649053\pi\)
\(84\) 709.715 6385.74i 0.100583 0.905008i
\(85\) −4260.28 7379.03i −0.589659 1.02132i
\(86\) −7084.84 + 2420.78i −0.957929 + 0.327309i
\(87\) 1585.10 6324.16i 0.209420 0.835535i
\(88\) −1941.61 3878.41i −0.250724 0.500828i
\(89\) 8083.40 1.02050 0.510251 0.860025i \(-0.329552\pi\)
0.510251 + 0.860025i \(0.329552\pi\)
\(90\) −6409.62 + 2424.91i −0.791311 + 0.299372i
\(91\) 1298.56i 0.156813i
\(92\) 3793.29 + 4902.82i 0.448168 + 0.579256i
\(93\) −7885.41 + 8145.41i −0.911714 + 0.941775i
\(94\) 15781.0 5392.11i 1.78599 0.610244i
\(95\) −11810.0 + 6818.52i −1.30859 + 0.755514i
\(96\) 1560.48 9082.93i 0.169322 0.985561i
\(97\) −3332.71 + 5772.42i −0.354204 + 0.613500i −0.986981 0.160834i \(-0.948582\pi\)
0.632777 + 0.774334i \(0.281915\pi\)
\(98\) −1609.89 316.884i −0.167627 0.0329950i
\(99\) 5486.47 178.012i 0.559787 0.0181627i
\(100\) −2630.03 1077.10i −0.263003 0.107710i
\(101\) −4643.04 + 8041.97i −0.455155 + 0.788352i −0.998697 0.0510303i \(-0.983749\pi\)
0.543542 + 0.839382i \(0.317083\pi\)
\(102\) −6176.23 + 13121.4i −0.593640 + 1.26119i
\(103\) −9792.48 + 5653.69i −0.923035 + 0.532915i −0.884602 0.466346i \(-0.845570\pi\)
−0.0384332 + 0.999261i \(0.512237\pi\)
\(104\) 110.679 1859.35i 0.0102329 0.171907i
\(105\) −2331.06 8167.45i −0.211434 0.740812i
\(106\) 2385.51 2731.14i 0.212310 0.243071i
\(107\) 6261.61i 0.546913i −0.961884 0.273456i \(-0.911833\pi\)
0.961884 0.273456i \(-0.0881669\pi\)
\(108\) 9614.51 + 6603.80i 0.824289 + 0.566169i
\(109\) 3452.85 0.290620 0.145310 0.989386i \(-0.453582\pi\)
0.145310 + 0.989386i \(0.453582\pi\)
\(110\) −4318.33 3771.84i −0.356887 0.311722i
\(111\) 12133.8 3463.08i 0.984806 0.281072i
\(112\) 11056.4 + 2868.04i 0.881409 + 0.228639i
\(113\) 1272.55 + 2204.13i 0.0996597 + 0.172616i 0.911544 0.411203i \(-0.134891\pi\)
−0.811884 + 0.583819i \(0.801558\pi\)
\(114\) 21000.6 + 9884.95i 1.61592 + 0.760615i
\(115\) 7096.79 + 4097.33i 0.536619 + 0.309817i
\(116\) 10726.1 + 4392.75i 0.797122 + 0.326453i
\(117\) 2078.72 + 1111.88i 0.151853 + 0.0812241i
\(118\) 3493.59 17748.7i 0.250904 1.27469i
\(119\) −15566.1 8987.07i −1.09922 0.634636i
\(120\) −2641.60 11893.2i −0.183444 0.825920i
\(121\) −5024.12 8702.04i −0.343154 0.594361i
\(122\) 3399.42 + 9949.02i 0.228394 + 0.668437i
\(123\) 10012.0 + 9692.44i 0.661776 + 0.640653i
\(124\) −12333.2 15940.6i −0.802106 1.03672i
\(125\) −16976.5 −1.08650
\(126\) −9151.93 + 11190.6i −0.576463 + 0.704873i
\(127\) 530.060i 0.0328638i 0.999865 + 0.0164319i \(0.00523067\pi\)
−0.999865 + 0.0164319i \(0.994769\pi\)
\(128\) 15586.6 + 5048.97i 0.951333 + 0.308164i
\(129\) 16340.3 + 4095.56i 0.981931 + 0.246112i
\(130\) −796.142 2330.05i −0.0471090 0.137873i
\(131\) −802.198 + 463.149i −0.0467454 + 0.0269885i −0.523191 0.852216i \(-0.675258\pi\)
0.476445 + 0.879204i \(0.341925\pi\)
\(132\) −1077.97 + 9699.14i −0.0618669 + 0.556654i
\(133\) −14383.7 + 24913.2i −0.813142 + 1.40840i
\(134\) 52.3769 266.094i 0.00291696 0.0148192i
\(135\) 15070.3 + 3261.74i 0.826901 + 0.178971i
\(136\) −21522.3 14194.9i −1.16362 0.767456i
\(137\) −834.113 + 1444.73i −0.0444410 + 0.0769741i −0.887390 0.461019i \(-0.847484\pi\)
0.842949 + 0.537993i \(0.180817\pi\)
\(138\) −1165.57 13898.8i −0.0612038 0.729826i
\(139\) 717.766 414.402i 0.0371495 0.0214483i −0.481310 0.876550i \(-0.659839\pi\)
0.518460 + 0.855102i \(0.326506\pi\)
\(140\) 14962.5 2030.72i 0.763395 0.103608i
\(141\) −36396.9 9122.57i −1.83074 0.458859i
\(142\) −3961.72 3460.36i −0.196475 0.171611i
\(143\) 1972.36i 0.0964525i
\(144\) −14058.0 + 15243.2i −0.677951 + 0.735107i
\(145\) 15322.3 0.728768
\(146\) 24920.9 28531.7i 1.16912 1.33851i
\(147\) 2652.45 + 2567.79i 0.122748 + 0.118830i
\(148\) 3016.89 + 22228.8i 0.137732 + 1.01483i
\(149\) −1561.38 2704.39i −0.0703292 0.121814i 0.828716 0.559669i \(-0.189072\pi\)
−0.899046 + 0.437855i \(0.855738\pi\)
\(150\) 3648.90 + 5251.32i 0.162173 + 0.233392i
\(151\) −7932.37 4579.76i −0.347896 0.200858i 0.315862 0.948805i \(-0.397706\pi\)
−0.663758 + 0.747947i \(0.731040\pi\)
\(152\) −22718.7 + 34446.1i −0.983322 + 1.49091i
\(153\) 27714.6 17222.9i 1.18393 0.735737i
\(154\) −11867.4 2335.94i −0.500397 0.0984963i
\(155\) −23073.9 13321.7i −0.960411 0.554494i
\(156\) −2483.56 + 3375.78i −0.102053 + 0.138716i
\(157\) −10551.8 18276.3i −0.428084 0.741463i 0.568619 0.822601i \(-0.307478\pi\)
−0.996703 + 0.0811381i \(0.974145\pi\)
\(158\) 16538.5 5650.96i 0.662496 0.226364i
\(159\) −7845.80 + 2239.25i −0.310344 + 0.0885746i
\(160\) 21597.2 1632.39i 0.843641 0.0637653i
\(161\) 17286.7 0.666898
\(162\) −10077.5 24232.0i −0.383992 0.923336i
\(163\) 42771.0i 1.60981i 0.593405 + 0.804904i \(0.297783\pi\)
−0.593405 + 0.804904i \(0.702217\pi\)
\(164\) −19593.6 + 15159.5i −0.728494 + 0.563632i
\(165\) 3540.59 + 12405.3i 0.130049 + 0.455660i
\(166\) 2884.34 985.532i 0.104672 0.0357647i
\(167\) 9568.12 5524.16i 0.343079 0.198077i −0.318554 0.947905i \(-0.603197\pi\)
0.661633 + 0.749828i \(0.269864\pi\)
\(168\) −17370.3 18941.3i −0.615444 0.671107i
\(169\) 13857.0 24001.0i 0.485172 0.840342i
\(170\) −33440.6 6582.32i −1.15711 0.227762i
\(171\) −27564.9 44356.8i −0.942681 1.51694i
\(172\) −11349.9 + 27713.9i −0.383651 + 0.936787i
\(173\) 10967.8 18996.8i 0.366461 0.634729i −0.622549 0.782581i \(-0.713903\pi\)
0.989009 + 0.147852i \(0.0472360\pi\)
\(174\) −14881.3 21416.5i −0.491523 0.707376i
\(175\) −6863.66 + 3962.73i −0.224119 + 0.129395i
\(176\) −16793.3 4356.20i −0.542138 0.140631i
\(177\) −28309.4 + 29242.8i −0.903617 + 0.933411i
\(178\) 21270.4 24352.2i 0.671329 0.768597i
\(179\) 11479.2i 0.358265i −0.983825 0.179133i \(-0.942671\pi\)
0.983825 0.179133i \(-0.0573291\pi\)
\(180\) −9560.72 + 25690.6i −0.295084 + 0.792919i
\(181\) 45472.2 1.38800 0.693999 0.719976i \(-0.255847\pi\)
0.693999 + 0.719976i \(0.255847\pi\)
\(182\) −3912.08 3417.00i −0.118104 0.103158i
\(183\) 5751.26 22946.2i 0.171736 0.685186i
\(184\) 24751.9 + 1473.38i 0.731094 + 0.0435190i
\(185\) 14827.4 + 25681.7i 0.433232 + 0.750379i
\(186\) 3789.62 + 45189.4i 0.109539 + 1.30620i
\(187\) 23642.9 + 13650.2i 0.676111 + 0.390353i
\(188\) 25281.2 61730.8i 0.715290 1.74657i
\(189\) 30971.9 9936.56i 0.867051 0.278171i
\(190\) −10534.9 + 53521.2i −0.291825 + 1.48258i
\(191\) 60657.0 + 35020.3i 1.66270 + 0.959961i 0.971418 + 0.237376i \(0.0762875\pi\)
0.691283 + 0.722584i \(0.257046\pi\)
\(192\) −23257.2 28601.7i −0.630893 0.775870i
\(193\) 17426.4 + 30183.5i 0.467836 + 0.810316i 0.999325 0.0367497i \(-0.0117004\pi\)
−0.531488 + 0.847066i \(0.678367\pi\)
\(194\) 8620.54 + 25229.6i 0.229050 + 0.670357i
\(195\) −1346.94 + 5373.98i −0.0354225 + 0.141328i
\(196\) −5190.87 + 4016.15i −0.135122 + 0.104544i
\(197\) −30858.0 −0.795124 −0.397562 0.917575i \(-0.630144\pi\)
−0.397562 + 0.917575i \(0.630144\pi\)
\(198\) 13900.6 16997.1i 0.354572 0.433555i
\(199\) 34262.5i 0.865192i −0.901588 0.432596i \(-0.857598\pi\)
0.901588 0.432596i \(-0.142402\pi\)
\(200\) −10165.5 + 5089.04i −0.254137 + 0.127226i
\(201\) −424.422 + 438.416i −0.0105052 + 0.0108516i
\(202\) 12009.9 + 35149.1i 0.294331 + 0.861414i
\(203\) 27992.1 16161.2i 0.679272 0.392178i
\(204\) 23277.8 + 53133.8i 0.559348 + 1.27676i
\(205\) −16374.5 + 28361.5i −0.389638 + 0.674872i
\(206\) −8735.19 + 44378.0i −0.205844 + 1.04576i
\(207\) −14801.5 + 27672.2i −0.345433 + 0.645808i
\(208\) −5310.28 5226.07i −0.122741 0.120795i
\(209\) 21847.0 37840.1i 0.500149 0.866283i
\(210\) −30739.3 14469.0i −0.697037 0.328095i
\(211\) 14989.6 8654.27i 0.336687 0.194386i −0.322119 0.946699i \(-0.604395\pi\)
0.658806 + 0.752313i \(0.271062\pi\)
\(212\) −1950.74 14373.3i −0.0434038 0.319804i
\(213\) 3248.20 + 11380.9i 0.0715952 + 0.250852i
\(214\) −18863.9 16476.6i −0.411911 0.359782i
\(215\) 39589.7i 0.856457i
\(216\) 45194.1 11587.9i 0.968666 0.248368i
\(217\) −56204.3 −1.19358
\(218\) 9085.73 10402.1i 0.191182 0.218882i
\(219\) −81963.5 + 23393.0i −1.70896 + 0.487751i
\(220\) −22726.2 + 3084.41i −0.469550 + 0.0637274i
\(221\) 5862.10 + 10153.5i 0.120024 + 0.207888i
\(222\) 21495.5 45667.2i 0.436156 0.926613i
\(223\) −55484.8 32034.1i −1.11574 0.644174i −0.175432 0.984492i \(-0.556132\pi\)
−0.940311 + 0.340317i \(0.889466\pi\)
\(224\) 37733.8 25761.9i 0.752028 0.513430i
\(225\) −466.578 14380.3i −0.00921636 0.284055i
\(226\) 9988.77 + 1966.15i 0.195567 + 0.0384946i
\(227\) −11857.8 6846.11i −0.230119 0.132859i 0.380508 0.924778i \(-0.375749\pi\)
−0.610627 + 0.791918i \(0.709083\pi\)
\(228\) 85039.8 37255.8i 1.63588 0.716678i
\(229\) −32996.2 57151.0i −0.629205 1.08982i −0.987711 0.156288i \(-0.950047\pi\)
0.358506 0.933527i \(-0.383286\pi\)
\(230\) 31018.0 10598.4i 0.586352 0.200347i
\(231\) 19552.8 + 18928.7i 0.366424 + 0.354728i
\(232\) 41458.0 20754.7i 0.770250 0.385602i
\(233\) −63342.4 −1.16676 −0.583381 0.812198i \(-0.698271\pi\)
−0.583381 + 0.812198i \(0.698271\pi\)
\(234\) 8819.55 3336.65i 0.161070 0.0609367i
\(235\) 88183.3i 1.59680i
\(236\) −44277.3 57228.4i −0.794982 1.02751i
\(237\) −38144.1 9560.49i −0.679095 0.170209i
\(238\) −68034.7 + 23246.4i −1.20109 + 0.410394i
\(239\) −275.008 + 158.776i −0.00481448 + 0.00277964i −0.502405 0.864632i \(-0.667551\pi\)
0.497591 + 0.867412i \(0.334218\pi\)
\(240\) −42780.9 23337.4i −0.742724 0.405163i
\(241\) −12752.6 + 22088.2i −0.219566 + 0.380300i −0.954675 0.297649i \(-0.903798\pi\)
0.735109 + 0.677949i \(0.237131\pi\)
\(242\) −39436.3 7762.48i −0.673388 0.132547i
\(243\) −10613.0 + 58087.4i −0.179732 + 0.983716i
\(244\) 38917.8 + 15938.4i 0.653685 + 0.267710i
\(245\) −4338.05 + 7513.73i −0.0722708 + 0.125177i
\(246\) 55545.0 4658.05i 0.917856 0.0769721i
\(247\) 16250.4 9382.19i 0.266361 0.153784i
\(248\) −80476.2 4790.41i −1.30847 0.0778878i
\(249\) −6652.37 1667.36i −0.107295 0.0268924i
\(250\) −44671.5 + 51143.9i −0.714744 + 0.818302i
\(251\) 40987.7i 0.650588i 0.945613 + 0.325294i \(0.105463\pi\)
−0.945613 + 0.325294i \(0.894537\pi\)
\(252\) 9630.86 + 57017.8i 0.151657 + 0.897862i
\(253\) −26256.3 −0.410197
\(254\) 1596.87 + 1394.78i 0.0247516 + 0.0216192i
\(255\) 55096.8 + 53338.1i 0.847317 + 0.820271i
\(256\) 56224.8 33671.0i 0.857923 0.513778i
\(257\) −15479.1 26810.5i −0.234357 0.405919i 0.724728 0.689035i \(-0.241965\pi\)
−0.959086 + 0.283116i \(0.908632\pi\)
\(258\) 55335.7 38450.3i 0.831316 0.577643i
\(259\) 54175.6 + 31278.3i 0.807615 + 0.466277i
\(260\) −9114.52 3732.76i −0.134830 0.0552183i
\(261\) 1902.85 + 58647.2i 0.0279334 + 0.860926i
\(262\) −715.585 + 3635.44i −0.0104246 + 0.0529607i
\(263\) 13311.8 + 7685.54i 0.192453 + 0.111113i 0.593130 0.805107i \(-0.297892\pi\)
−0.400678 + 0.916219i \(0.631225\pi\)
\(264\) 26383.3 + 28769.5i 0.378548 + 0.412786i
\(265\) −9587.47 16606.0i −0.136525 0.236468i
\(266\) 37205.5 + 108889.i 0.525828 + 1.53893i
\(267\) −69957.1 + 19966.3i −0.981317 + 0.280076i
\(268\) −663.818 857.983i −0.00924228 0.0119456i
\(269\) 76105.5 1.05175 0.525873 0.850563i \(-0.323739\pi\)
0.525873 + 0.850563i \(0.323739\pi\)
\(270\) 49481.8 36818.2i 0.678763 0.505051i
\(271\) 78076.4i 1.06312i −0.847021 0.531559i \(-0.821606\pi\)
0.847021 0.531559i \(-0.178394\pi\)
\(272\) −99396.9 + 27486.6i −1.34349 + 0.371521i
\(273\) 3207.51 + 11238.3i 0.0430370 + 0.150791i
\(274\) 2157.56 + 6314.48i 0.0287383 + 0.0841078i
\(275\) 10425.0 6018.90i 0.137852 0.0795887i
\(276\) −44938.9 33061.5i −0.589935 0.434014i
\(277\) −2369.97 + 4104.90i −0.0308875 + 0.0534987i −0.881056 0.473012i \(-0.843167\pi\)
0.850168 + 0.526511i \(0.176500\pi\)
\(278\) 640.269 3252.80i 0.00828463 0.0420890i
\(279\) 48124.2 89971.1i 0.618237 1.15583i
\(280\) 33254.2 50420.1i 0.424161 0.643113i
\(281\) −21604.6 + 37420.3i −0.273612 + 0.473909i −0.969784 0.243966i \(-0.921552\pi\)
0.696172 + 0.717875i \(0.254885\pi\)
\(282\) −123257. + 85645.3i −1.54993 + 1.07697i
\(283\) 31277.1 18057.8i 0.390529 0.225472i −0.291860 0.956461i \(-0.594274\pi\)
0.682389 + 0.730989i \(0.260941\pi\)
\(284\) −20849.5 + 2829.69i −0.258499 + 0.0350835i
\(285\) 85366.8 88181.5i 1.05099 1.08564i
\(286\) 5941.97 + 5190.00i 0.0726438 + 0.0634505i
\(287\) 69084.1i 0.838715i
\(288\) 8930.19 + 82461.9i 0.107665 + 0.994187i
\(289\) 78760.1 0.942997
\(290\) 40318.7 46160.4i 0.479414 0.548876i
\(291\) 14584.5 58188.8i 0.172229 0.687153i
\(292\) −20379.0 150155.i −0.239011 1.76106i
\(293\) 48046.7 + 83219.2i 0.559665 + 0.969368i 0.997524 + 0.0703243i \(0.0224034\pi\)
−0.437859 + 0.899043i \(0.644263\pi\)
\(294\) 14715.4 1234.04i 0.170246 0.0142770i
\(295\) −82837.5 47826.3i −0.951882 0.549569i
\(296\) 74905.5 + 49403.4i 0.854929 + 0.563862i
\(297\) −47042.5 + 15092.4i −0.533307 + 0.171098i
\(298\) −12255.9 2412.40i −0.138010 0.0271654i
\(299\) −9765.10 5637.88i −0.109228 0.0630628i
\(300\) 25421.9 + 2825.40i 0.282465 + 0.0313934i
\(301\) 41757.3 + 72325.7i 0.460892 + 0.798288i
\(302\) −34670.1 + 11846.2i −0.380138 + 0.129887i
\(303\) 20318.8 81067.1i 0.221316 0.882997i
\(304\) 43991.9 + 159083.i 0.476020 + 1.72138i
\(305\) 55594.6 0.597631
\(306\) 21041.3 128813.i 0.224714 1.37568i
\(307\) 140641.i 1.49223i 0.665817 + 0.746115i \(0.268083\pi\)
−0.665817 + 0.746115i \(0.731917\pi\)
\(308\) −38264.9 + 29605.4i −0.403366 + 0.312082i
\(309\) 70783.4 73117.2i 0.741334 0.765778i
\(310\) −100849. + 34458.6i −1.04942 + 0.358570i
\(311\) −141564. + 81731.8i −1.46363 + 0.845027i −0.999177 0.0405712i \(-0.987082\pi\)
−0.464453 + 0.885598i \(0.653749\pi\)
\(312\) 3634.80 + 16365.0i 0.0373398 + 0.168115i
\(313\) 25645.1 44418.7i 0.261768 0.453395i −0.704944 0.709263i \(-0.749028\pi\)
0.966712 + 0.255868i \(0.0823611\pi\)
\(314\) −82825.4 16303.0i −0.840049 0.165352i
\(315\) 40347.9 + 64926.7i 0.406630 + 0.654338i
\(316\) 26494.8 64694.1i 0.265330 0.647874i
\(317\) 14025.0 24292.0i 0.139568 0.241738i −0.787765 0.615975i \(-0.788762\pi\)
0.927333 + 0.374237i \(0.122095\pi\)
\(318\) −13899.2 + 29528.7i −0.137447 + 0.292005i
\(319\) −42516.5 + 24546.9i −0.417808 + 0.241221i
\(320\) 51912.4 69359.7i 0.506957 0.677340i
\(321\) 15466.4 + 54190.5i 0.150100 + 0.525912i
\(322\) 45487.6 52078.2i 0.438714 0.502278i
\(323\) 259728.i 2.48951i
\(324\) −99519.6 33403.8i −0.948022 0.318204i
\(325\) 5169.63 0.0489433
\(326\) 128853. + 112546.i 1.21244 + 1.05900i
\(327\) −29882.4 + 8528.68i −0.279460 + 0.0797602i
\(328\) −5888.19 + 98918.1i −0.0547311 + 0.919450i
\(329\) −93011.4 161101.i −0.859299 1.48835i
\(330\) 46689.2 + 21976.6i 0.428735 + 0.201805i
\(331\) 97678.0 + 56394.4i 0.891540 + 0.514731i 0.874446 0.485123i \(-0.161225\pi\)
0.0170938 + 0.999854i \(0.494559\pi\)
\(332\) 4620.72 11282.7i 0.0419212 0.102362i
\(333\) −96457.0 + 59941.9i −0.869852 + 0.540558i
\(334\) 8535.06 43361.2i 0.0765092 0.388695i
\(335\) −1241.92 717.024i −0.0110664 0.00638917i
\(336\) −102771. + 2488.50i −0.910314 + 0.0220424i
\(337\) 10409.8 + 18030.3i 0.0916606 + 0.158761i 0.908210 0.418515i \(-0.137449\pi\)
−0.816549 + 0.577276i \(0.804116\pi\)
\(338\) −35843.1 104901.i −0.313742 0.918222i
\(339\) −16457.5 15932.2i −0.143207 0.138636i
\(340\) −107825. + 83423.4i −0.932739 + 0.721656i
\(341\) 85367.4 0.734147
\(342\) −206164. 33676.3i −1.76263 0.287920i
\(343\) 125431.i 1.06615i
\(344\) 53625.7 + 107119.i 0.453165 + 0.905208i
\(345\) −71539.2 17930.7i −0.601043 0.150646i
\(346\) −28369.8 83029.5i −0.236976 0.693554i
\(347\) 139615. 80606.6i 1.15950 0.669440i 0.208318 0.978061i \(-0.433201\pi\)
0.951185 + 0.308621i \(0.0998676\pi\)
\(348\) −103678. 11522.9i −0.856108 0.0951485i
\(349\) 110742. 191811.i 0.909205 1.57479i 0.0940341 0.995569i \(-0.470024\pi\)
0.815171 0.579220i \(-0.196643\pi\)
\(350\) −6122.59 + 31105.0i −0.0499803 + 0.253919i
\(351\) −20736.5 4488.12i −0.168314 0.0364292i
\(352\) −57312.9 + 39129.0i −0.462559 + 0.315801i
\(353\) −109395. + 189477.i −0.877904 + 1.52057i −0.0242676 + 0.999705i \(0.507725\pi\)
−0.853637 + 0.520869i \(0.825608\pi\)
\(354\) 13605.1 + 162234.i 0.108566 + 1.29460i
\(355\) −24088.2 + 13907.3i −0.191138 + 0.110354i
\(356\) −17393.8 128159.i −0.137244 1.01123i
\(357\) 156914. + 39329.1i 1.23119 + 0.308587i
\(358\) −34582.4 30206.0i −0.269830 0.235682i
\(359\) 924.606i 0.00717411i −0.999994 0.00358705i \(-0.998858\pi\)
0.999994 0.00358705i \(-0.00114180\pi\)
\(360\) 52238.3 + 96404.3i 0.403073 + 0.743860i
\(361\) −285370. −2.18975
\(362\) 119654. 136991.i 0.913084 1.04538i
\(363\) 64975.2 + 62901.3i 0.493100 + 0.477360i
\(364\) −20588.3 + 2794.24i −0.155388 + 0.0210893i
\(365\) −100158. 173479.i −0.751799 1.30215i
\(366\) −53994.5 77706.3i −0.403076 0.580088i
\(367\) −35332.0 20398.9i −0.262323 0.151452i 0.363071 0.931762i \(-0.381728\pi\)
−0.625394 + 0.780309i \(0.715062\pi\)
\(368\) 69570.1 70691.2i 0.513721 0.521999i
\(369\) −110589. 59152.3i −0.812192 0.434429i
\(370\) 116386. + 22908.9i 0.850150 + 0.167340i
\(371\) −35030.3 20224.8i −0.254505 0.146939i
\(372\) 146110. + 107493.i 1.05583 + 0.776775i
\(373\) 117265. + 203109.i 0.842851 + 1.45986i 0.887474 + 0.460858i \(0.152458\pi\)
−0.0446228 + 0.999004i \(0.514209\pi\)
\(374\) 103336. 35308.4i 0.738771 0.252426i
\(375\) 146922. 41932.7i 1.04478 0.298188i
\(376\) −119447. 238599.i −0.844892 1.68769i
\(377\) −21083.4 −0.148340
\(378\) 51563.5 119453.i 0.360876 0.836017i
\(379\) 185553.i 1.29178i 0.763428 + 0.645892i \(0.223515\pi\)
−0.763428 + 0.645892i \(0.776485\pi\)
\(380\) 133518. + 172572.i 0.924639 + 1.19509i
\(381\) −1309.27 4587.36i −0.00901944 0.0316019i
\(382\) 265114. 90585.2i 1.81679 0.620770i
\(383\) −52190.3 + 30132.1i −0.355789 + 0.205415i −0.667232 0.744850i \(-0.732521\pi\)
0.311443 + 0.950265i \(0.399188\pi\)
\(384\) −147364. 5196.21i −0.999379 0.0352390i
\(385\) −31978.3 + 55388.1i −0.215742 + 0.373675i
\(386\) 136787. + 26924.6i 0.918056 + 0.180707i
\(387\) −151532. + 4916.56i −1.01177 + 0.0328276i
\(388\) 98691.0 + 40417.8i 0.655562 + 0.268479i
\(389\) 6004.66 10400.4i 0.0396816 0.0687306i −0.845502 0.533971i \(-0.820699\pi\)
0.885184 + 0.465241i \(0.154032\pi\)
\(390\) 12645.5 + 18198.8i 0.0831392 + 0.119650i
\(391\) −135164. + 78037.0i −0.884113 + 0.510443i
\(392\) −1559.94 + 26206.1i −0.0101516 + 0.170542i
\(393\) 5798.56 5989.75i 0.0375435 0.0387814i
\(394\) −81198.7 + 92963.4i −0.523066 + 0.598852i
\(395\) 92416.5i 0.592318i
\(396\) −14628.1 86603.0i −0.0932818 0.552259i
\(397\) 32276.3 0.204787 0.102394 0.994744i \(-0.467350\pi\)
0.102394 + 0.994744i \(0.467350\pi\)
\(398\) −103220. 90157.2i −0.651624 0.569160i
\(399\) 62945.5 251138.i 0.395384 1.57749i
\(400\) −11417.8 + 44015.9i −0.0713611 + 0.275099i
\(401\) 93863.1 + 162576.i 0.583722 + 1.01104i 0.995033 + 0.0995418i \(0.0317377\pi\)
−0.411311 + 0.911495i \(0.634929\pi\)
\(402\) 203.971 + 2432.26i 0.00126217 + 0.0150507i
\(403\) 31749.4 + 18330.5i 0.195490 + 0.112866i
\(404\) 137494. + 56309.0i 0.842402 + 0.344997i
\(405\) −138481. + 8995.70i −0.844268 + 0.0548435i
\(406\) 24969.8 126856.i 0.151483 0.769588i
\(407\) −82286.0 47507.9i −0.496749 0.286798i
\(408\) 221325. + 69687.4i 1.32957 + 0.418633i
\(409\) 67272.0 + 116518.i 0.402149 + 0.696543i 0.993985 0.109515i \(-0.0349299\pi\)
−0.591836 + 0.806059i \(0.701597\pi\)
\(410\) 42355.1 + 123960.i 0.251964 + 0.737417i
\(411\) 3650.23 14563.6i 0.0216091 0.0862152i
\(412\) 110709. + 143091.i 0.652210 + 0.842980i
\(413\) −201779. −1.18298
\(414\) 44417.9 + 117407.i 0.259154 + 0.685005i
\(415\) 16117.5i 0.0935841i
\(416\) −29717.5 + 2246.15i −0.171722 + 0.0129793i
\(417\) −5188.25 + 5359.32i −0.0298366 + 0.0308204i
\(418\) −56510.5 165388.i −0.323427 0.946568i
\(419\) −73320.7 + 42331.7i −0.417637 + 0.241123i −0.694066 0.719912i \(-0.744182\pi\)
0.276429 + 0.961034i \(0.410849\pi\)
\(420\) −124476. + 54532.8i −0.705647 + 0.309143i
\(421\) 57849.8 100199.i 0.326391 0.565325i −0.655402 0.755280i \(-0.727501\pi\)
0.981793 + 0.189955i \(0.0608341\pi\)
\(422\) 13371.2 67930.7i 0.0750837 0.381453i
\(423\) 337527. 10951.3i 1.88637 0.0612047i
\(424\) −48434.4 31944.6i −0.269415 0.177691i
\(425\) 35777.9 61969.1i 0.198078 0.343081i
\(426\) 42833.6 + 20161.7i 0.236029 + 0.111099i
\(427\) 101565. 58638.4i 0.557041 0.321608i
\(428\) −99275.5 + 13473.7i −0.541944 + 0.0735527i
\(429\) −4871.80 17069.6i −0.0264713 0.0927489i
\(430\) 119269. + 104175.i 0.645045 + 0.563413i
\(431\) 294896.i 1.58750i 0.608241 + 0.793752i \(0.291875\pi\)
−0.608241 + 0.793752i \(0.708125\pi\)
\(432\) 84012.4 166645.i 0.450169 0.892943i
\(433\) −151284. −0.806895 −0.403447 0.915003i \(-0.632188\pi\)
−0.403447 + 0.915003i \(0.632188\pi\)
\(434\) −147894. + 169322.i −0.785185 + 0.898949i
\(435\) −132606. + 37846.8i −0.700784 + 0.200010i
\(436\) −7429.82 54743.7i −0.0390846 0.287979i
\(437\) 124897. + 216328.i 0.654017 + 1.13279i
\(438\) −145202. + 308481.i −0.756874 + 1.60798i
\(439\) 17332.7 + 10007.1i 0.0899369 + 0.0519251i 0.544294 0.838895i \(-0.316798\pi\)
−0.454357 + 0.890820i \(0.650131\pi\)
\(440\) −50509.0 + 76581.8i −0.260893 + 0.395567i
\(441\) −29298.0 15671.0i −0.150647 0.0805788i
\(442\) 46013.9 + 9057.19i 0.235529 + 0.0463606i
\(443\) −33466.7 19322.0i −0.170532 0.0984567i 0.412305 0.911046i \(-0.364724\pi\)
−0.582837 + 0.812589i \(0.698057\pi\)
\(444\) −81015.4 184925.i −0.410962 0.938059i
\(445\) −85486.7 148067.i −0.431696 0.747720i
\(446\) −242508. + 82861.0i −1.21915 + 0.416563i
\(447\) 20192.8 + 19548.2i 0.101060 + 0.0978345i
\(448\) 21680.7 181467.i 0.108023 0.904150i
\(449\) 79457.9 0.394135 0.197067 0.980390i \(-0.436858\pi\)
0.197067 + 0.980390i \(0.436858\pi\)
\(450\) −44550.1 36434.2i −0.220000 0.179922i
\(451\) 104930.i 0.515878i
\(452\) 32207.4 24918.7i 0.157645 0.121969i
\(453\) 79962.2 + 20041.8i 0.389662 + 0.0976655i
\(454\) −51827.0 + 17708.5i −0.251446 + 0.0859151i
\(455\) −23786.4 + 13733.1i −0.114896 + 0.0663354i
\(456\) 111534. 354227.i 0.536384 1.70354i
\(457\) 131776. 228243.i 0.630963 1.09286i −0.356392 0.934337i \(-0.615993\pi\)
0.987355 0.158524i \(-0.0506735\pi\)
\(458\) −259000. 50980.5i −1.23472 0.243037i
\(459\) −197312. + 217510.i −0.936546 + 1.03241i
\(460\) 49691.0 121334.i 0.234834 0.573411i
\(461\) 100305. 173733.i 0.471976 0.817487i −0.527510 0.849549i \(-0.676874\pi\)
0.999486 + 0.0320624i \(0.0102075\pi\)
\(462\) 108475. 9096.84i 0.508215 0.0426193i
\(463\) 205297. 118528.i 0.957679 0.552916i 0.0622210 0.998062i \(-0.480182\pi\)
0.895458 + 0.445146i \(0.146848\pi\)
\(464\) 46565.2 179510.i 0.216285 0.833784i
\(465\) 232596. + 58298.2i 1.07571 + 0.269618i
\(466\) −166677. + 190827.i −0.767546 + 0.878754i
\(467\) 230464.i 1.05674i −0.849014 0.528371i \(-0.822803\pi\)
0.849014 0.528371i \(-0.177197\pi\)
\(468\) 13155.4 35349.9i 0.0600639 0.161398i
\(469\) −3025.13 −0.0137530
\(470\) −265663. 232043.i −1.20264 1.05044i
\(471\) 136463. + 132107.i 0.615140 + 0.595505i
\(472\) −288918. 17198.1i −1.29685 0.0771961i
\(473\) −63424.1 109854.i −0.283486 0.491013i
\(474\) −129173. + 89756.6i −0.574932 + 0.399493i
\(475\) −99180.5 57261.9i −0.439581 0.253792i
\(476\) −108992. + 266133.i −0.481039 + 1.17459i
\(477\) 62369.7 38758.9i 0.274118 0.170347i
\(478\) −245.315 + 1246.29i −0.00107366 + 0.00545461i
\(479\) −2079.74 1200.74i −0.00906438 0.00523332i 0.495461 0.868630i \(-0.334999\pi\)
−0.504525 + 0.863397i \(0.668332\pi\)
\(480\) −182879. + 67473.4i −0.793746 + 0.292853i
\(481\) −20402.3 35337.7i −0.0881836 0.152739i
\(482\) 32986.6 + 96541.1i 0.141985 + 0.415545i
\(483\) −149606. + 42698.8i −0.641290 + 0.183029i
\(484\) −127157. + 98380.7i −0.542812 + 0.419971i
\(485\) 140981. 0.599347
\(486\) 147069. + 184822.i 0.622656 + 0.782496i
\(487\) 405227.i 1.70860i −0.519781 0.854300i \(-0.673986\pi\)
0.519781 0.854300i \(-0.326014\pi\)
\(488\) 150423. 75304.9i 0.631649 0.316216i
\(489\) −105646. 370158.i −0.441810 1.54799i
\(490\) 11221.0 + 32840.3i 0.0467347 + 0.136778i
\(491\) −111325. + 64273.4i −0.461773 + 0.266605i −0.712790 0.701378i \(-0.752569\pi\)
0.251016 + 0.967983i \(0.419235\pi\)
\(492\) 132126. 179593.i 0.545832 0.741924i
\(493\) −145913. + 252729.i −0.600345 + 1.03983i
\(494\) 14495.9 73644.5i 0.0594006 0.301777i
\(495\) −61283.4 98615.6i −0.250111 0.402472i
\(496\) −226194. + 229839.i −0.919429 + 0.934244i
\(497\) −29337.5 + 50814.1i −0.118771 + 0.205717i
\(498\) −22528.0 + 15653.6i −0.0908371 + 0.0631185i
\(499\) 111377. 64303.6i 0.447296 0.258246i −0.259392 0.965772i \(-0.583522\pi\)
0.706687 + 0.707526i \(0.250189\pi\)
\(500\) 36530.0 + 269157.i 0.146120 + 1.07663i
\(501\) −69161.6 + 71442.0i −0.275543 + 0.284628i
\(502\) 123480. + 107854.i 0.489994 + 0.427984i
\(503\) 368128.i 1.45500i 0.686109 + 0.727499i \(0.259317\pi\)
−0.686109 + 0.727499i \(0.740683\pi\)
\(504\) 197116. + 121021.i 0.775997 + 0.476430i
\(505\) 196411. 0.770165
\(506\) −69090.0 + 79100.3i −0.269845 + 0.308942i
\(507\) −60640.7 + 241942.i −0.235911 + 0.941229i
\(508\) 8403.92 1140.58i 0.0325653 0.00441976i
\(509\) 40698.4 + 70491.6i 0.157087 + 0.272083i 0.933817 0.357751i \(-0.116456\pi\)
−0.776730 + 0.629834i \(0.783123\pi\)
\(510\) 305667. 25633.5i 1.17519 0.0985526i
\(511\) −365955. 211284.i −1.40148 0.809143i
\(512\) 46510.3 257985.i 0.177423 0.984135i
\(513\) 348121. + 315795.i 1.32281 + 1.19997i
\(514\) −121501. 23915.8i −0.459890 0.0905230i
\(515\) 207123. + 119582.i 0.780931 + 0.450871i
\(516\) 29772.7 267883.i 0.111820 1.00611i
\(517\) 141273. + 244692.i 0.528539 + 0.915457i
\(518\) 236786. 80906.0i 0.882463 0.301523i
\(519\) −47997.1 + 191497.i −0.178189 + 0.710931i
\(520\) −35229.1 + 17636.4i −0.130285 + 0.0652232i
\(521\) −17832.5 −0.0656956 −0.0328478 0.999460i \(-0.510458\pi\)
−0.0328478 + 0.999460i \(0.510458\pi\)
\(522\) 181689. + 148590.i 0.666787 + 0.545316i
\(523\) 51996.2i 0.190094i −0.995473 0.0950470i \(-0.969700\pi\)
0.995473 0.0950470i \(-0.0303001\pi\)
\(524\) 9069.23 + 11722.0i 0.0330299 + 0.0426911i
\(525\) 49612.8 51248.6i 0.180001 0.185936i
\(526\) 58181.8 19879.8i 0.210289 0.0718522i
\(527\) 439461. 253723.i 1.58234 0.913562i
\(528\) 156096. 3779.72i 0.559917 0.0135579i
\(529\) −64868.3 + 112355.i −0.231804 + 0.401496i
\(530\) −75255.7 14813.0i −0.267909 0.0527342i
\(531\) 172770. 323005.i 0.612746 1.14557i
\(532\) 425941. + 174440.i 1.50497 + 0.616343i
\(533\) 22531.1 39025.1i 0.0793101 0.137369i
\(534\) −123932. + 263293.i −0.434611 + 0.923330i
\(535\) −114697. + 66220.2i −0.400722 + 0.231357i
\(536\) −4331.53 257.838i −0.0150769 0.000897465i
\(537\) 28354.0 + 99345.6i 0.0983255 + 0.344508i
\(538\) 200262. 229277.i 0.691884 0.792129i
\(539\) 27798.8i 0.0956862i
\(540\) 19285.7 245952.i 0.0661374 0.843458i
\(541\) −329819. −1.12689 −0.563444 0.826154i \(-0.690524\pi\)
−0.563444 + 0.826154i \(0.690524\pi\)
\(542\) −235215. 205448.i −0.800693 0.699364i
\(543\) −393535. + 112318.i −1.33470 + 0.380934i
\(544\) −178743. + 371773.i −0.603993 + 1.25626i
\(545\) −36515.9 63247.5i −0.122939 0.212936i
\(546\) 42296.9 + 19909.1i 0.141881 + 0.0667832i
\(547\) 306032. + 176688.i 1.02280 + 0.590517i 0.914915 0.403646i \(-0.132257\pi\)
0.107890 + 0.994163i \(0.465591\pi\)
\(548\) 24700.5 + 10115.8i 0.0822516 + 0.0336853i
\(549\) 6904.18 + 212792.i 0.0229069 + 0.706008i
\(550\) 9299.45 47244.6i 0.0307420 0.156181i
\(551\) 404489. + 233532.i 1.33230 + 0.769206i
\(552\) −217853. + 48387.0i −0.714965 + 0.158800i
\(553\) −97476.3 168834.i −0.318749 0.552090i
\(554\) 6130.27 + 17941.3i 0.0199738 + 0.0584568i
\(555\) −191757. 185636.i −0.622537 0.602666i
\(556\) −8114.69 10488.2i −0.0262496 0.0339275i
\(557\) −381405. −1.22935 −0.614676 0.788780i \(-0.710713\pi\)
−0.614676 + 0.788780i \(0.710713\pi\)
\(558\) −144416. 381727.i −0.463819 1.22598i
\(559\) 54475.0i 0.174330i
\(560\) −64392.6 232856.i −0.205334 0.742526i
\(561\) −238332. 59735.9i −0.757281 0.189806i
\(562\) 55883.6 + 163553.i 0.176934 + 0.517830i
\(563\) 203807. 117668.i 0.642988 0.371229i −0.142776 0.989755i \(-0.545603\pi\)
0.785765 + 0.618526i \(0.212270\pi\)
\(564\) −66316.5 + 596690.i −0.208480 + 1.87582i
\(565\) 26916.0 46619.9i 0.0843168 0.146041i
\(566\) 27900.1 141743.i 0.0870909 0.442454i
\(567\) −243500. + 162497.i −0.757414 + 0.505451i
\(568\) −46337.9 + 70257.6i −0.143628 + 0.217769i
\(569\) 110971. 192208.i 0.342757 0.593673i −0.642186 0.766549i \(-0.721972\pi\)
0.984944 + 0.172875i \(0.0553058\pi\)
\(570\) −41026.1 489216.i −0.126273 1.50574i
\(571\) 34588.3 19969.5i 0.106086 0.0612486i −0.446018 0.895024i \(-0.647158\pi\)
0.552104 + 0.833775i \(0.313825\pi\)
\(572\) 31271.0 4244.10i 0.0955763 0.0129716i
\(573\) −611452. 153255.i −1.86232 0.466773i
\(574\) 208124. + 181786.i 0.631683 + 0.551742i
\(575\) 68818.8i 0.208148i
\(576\) 271925. + 190084.i 0.819605 + 0.572930i
\(577\) 511135. 1.53527 0.767634 0.640889i \(-0.221434\pi\)
0.767634 + 0.640889i \(0.221434\pi\)
\(578\) 207247. 237274.i 0.620343 0.710224i
\(579\) −225370. 218176.i −0.672262 0.650804i
\(580\) −32970.5 242930.i −0.0980098 0.722147i
\(581\) −17000.0 29444.8i −0.0503612 0.0872281i
\(582\) −136924. 197054.i −0.404234 0.581754i
\(583\) 53206.7 + 30718.9i 0.156541 + 0.0903793i
\(584\) −505985. 333719.i −1.48358 0.978486i
\(585\) −1616.95 49835.7i −0.00472483 0.145623i
\(586\) 377137. + 74234.1i 1.09826 + 0.216176i
\(587\) −60509.5 34935.2i −0.175609 0.101388i 0.409619 0.912257i \(-0.365662\pi\)
−0.585228 + 0.810869i \(0.698995\pi\)
\(588\) 35003.9 47579.1i 0.101242 0.137614i
\(589\) −406079. 703350.i −1.17052 2.02741i
\(590\) −362059. + 123710.i −1.04010 + 0.355385i
\(591\) 267058. 76220.4i 0.764592 0.218221i
\(592\) 345938. 95663.4i 0.987085 0.272962i
\(593\) 206980. 0.588599 0.294299 0.955713i \(-0.404914\pi\)
0.294299 + 0.955713i \(0.404914\pi\)
\(594\) −78318.5 + 181435.i −0.221968 + 0.514219i
\(595\) 380174.i 1.07386i
\(596\) −39517.3 + 30574.4i −0.111249 + 0.0860726i
\(597\) 84629.6 + 296522.i 0.237451 + 0.831970i
\(598\) −42680.4 + 14583.2i −0.119351 + 0.0407803i
\(599\) −241159. + 139233.i −0.672123 + 0.388051i −0.796881 0.604137i \(-0.793518\pi\)
0.124757 + 0.992187i \(0.460185\pi\)
\(600\) 75406.1 69151.8i 0.209462 0.192088i
\(601\) −213736. + 370201.i −0.591737 + 1.02492i 0.402262 + 0.915525i \(0.368224\pi\)
−0.993999 + 0.109393i \(0.965109\pi\)
\(602\) 327769. + 64516.8i 0.904430 + 0.178024i
\(603\) 2590.22 4842.58i 0.00712365 0.0133181i
\(604\) −55541.6 + 135620.i −0.152246 + 0.371748i
\(605\) −106266. + 184058.i −0.290325 + 0.502857i
\(606\) −190758. 274530.i −0.519443 0.747558i
\(607\) −361479. + 208700.i −0.981082 + 0.566428i −0.902597 0.430487i \(-0.858342\pi\)
−0.0784853 + 0.996915i \(0.525008\pi\)
\(608\) 595016. + 286076.i 1.60961 + 0.773880i
\(609\) −202336. + 209008.i −0.545556 + 0.563544i
\(610\) 146290. 167486.i 0.393147 0.450109i
\(611\) 121339.i 0.325026i
\(612\) −332699. 402345.i −0.888277 1.07423i
\(613\) −23327.6 −0.0620796 −0.0310398 0.999518i \(-0.509882\pi\)
−0.0310398 + 0.999518i \(0.509882\pi\)
\(614\) 423699. + 370079.i 1.12388 + 0.981652i
\(615\) 71657.8 285898.i 0.189458 0.755894i
\(616\) −11499.2 + 193180.i −0.0303045 + 0.509098i
\(617\) −39385.7 68218.0i −0.103459 0.179196i 0.809649 0.586915i \(-0.199658\pi\)
−0.913108 + 0.407719i \(0.866324\pi\)
\(618\) −34017.5 405642.i −0.0890687 1.06210i
\(619\) 382655. + 220926.i 0.998679 + 0.576587i 0.907857 0.419280i \(-0.137717\pi\)
0.0908215 + 0.995867i \(0.471051\pi\)
\(620\) −161561. + 394494.i −0.420293 + 1.02626i
\(621\) 59746.4 276047.i 0.154928 0.715814i
\(622\) −126279. + 641545.i −0.326401 + 1.65824i
\(623\) −312348. 180334.i −0.804753 0.464625i
\(624\) 58866.0 + 32112.0i 0.151180 + 0.0824703i
\(625\) 124028. + 214823.i 0.317512 + 0.549947i
\(626\) −66334.9 194141.i −0.169275 0.495415i
\(627\) −95606.4 + 381447.i −0.243193 + 0.970285i
\(628\) −267059. + 206623.i −0.677155 + 0.523912i
\(629\) −564798. −1.42755
\(630\) 301770. + 49293.3i 0.760317 + 0.124196i
\(631\) 211599.i 0.531440i −0.964050 0.265720i \(-0.914390\pi\)
0.964050 0.265720i \(-0.0856097\pi\)
\(632\) −125181. 250053.i −0.313405 0.626034i
\(633\) −108350. + 111923.i −0.270410 + 0.279325i
\(634\) −36277.7 106173.i −0.0902530 0.264142i
\(635\) 9709.36 5605.70i 0.0240793 0.0139022i
\(636\) 52385.1 + 119574.i 0.129507 + 0.295612i
\(637\) 5969.11 10338.8i 0.0147106 0.0254795i
\(638\) −37926.0 + 192678.i −0.0931743 + 0.473360i
\(639\) −56222.6 90471.9i −0.137692 0.221570i
\(640\) −72353.7 338903.i −0.176645 0.827401i
\(641\) 2552.74 4421.47i 0.00621284 0.0107610i −0.862902 0.505371i \(-0.831356\pi\)
0.869115 + 0.494610i \(0.164689\pi\)
\(642\) 203953. + 96000.8i 0.494836 + 0.232919i
\(643\) −69127.8 + 39911.0i −0.167198 + 0.0965318i −0.581264 0.813715i \(-0.697442\pi\)
0.414066 + 0.910247i \(0.364108\pi\)
\(644\) −37197.3 274074.i −0.0896891 0.660839i
\(645\) −97788.2 342626.i −0.235054 0.823570i
\(646\) −782463. 683441.i −1.87499 1.63771i
\(647\) 531516.i 1.26972i −0.772628 0.634859i \(-0.781058\pi\)
0.772628 0.634859i \(-0.218942\pi\)
\(648\) −362506. + 211917.i −0.863306 + 0.504680i
\(649\) 306477. 0.727627
\(650\) 13603.2 15574.2i 0.0321969 0.0368619i
\(651\) 486416. 138827.i 1.14775 0.327576i
\(652\) 678119. 92034.3i 1.59518 0.216498i
\(653\) 235615. + 408097.i 0.552556 + 0.957055i 0.998089 + 0.0617897i \(0.0196808\pi\)
−0.445533 + 0.895265i \(0.646986\pi\)
\(654\) −52937.9 + 112467.i −0.123769 + 0.262947i
\(655\) 16967.4 + 9796.15i 0.0395488 + 0.0228335i
\(656\) 282509. + 278029.i 0.656485 + 0.646074i
\(657\) 651564. 404906.i 1.50948 0.938045i
\(658\) −730082. 143707.i −1.68624 0.331913i
\(659\) −309469. 178672.i −0.712601 0.411420i 0.0994224 0.995045i \(-0.468300\pi\)
−0.812023 + 0.583625i \(0.801634\pi\)
\(660\) 189064. 82828.5i 0.434031 0.190148i
\(661\) 282792. + 489809.i 0.647237 + 1.12105i 0.983780 + 0.179380i \(0.0574090\pi\)
−0.336543 + 0.941668i \(0.609258\pi\)
\(662\) 426922. 145872.i 0.974165 0.332857i
\(663\) −75812.5 73392.6i −0.172470 0.166965i
\(664\) −21831.8 43609.5i −0.0495168 0.0989111i
\(665\) 608463. 1.37591
\(666\) −73231.4 + 448318.i −0.165101 + 1.01074i
\(667\) 280664.i 0.630864i
\(668\) −108172. 139812.i −0.242417 0.313323i
\(669\) 559314. + 140187.i 1.24969 + 0.313225i
\(670\) −5428.08 + 1854.69i −0.0120920 + 0.00413163i
\(671\) −154264. + 89064.5i −0.342626 + 0.197815i
\(672\) −262931. + 316158.i −0.582241 + 0.700108i
\(673\) 158119. 273870.i 0.349103 0.604663i −0.636988 0.770874i \(-0.719820\pi\)
0.986090 + 0.166211i \(0.0531532\pi\)
\(674\) 81710.5 + 16083.6i 0.179870 + 0.0354049i
\(675\) 39557.8 + 123300.i 0.0868210 + 0.270618i
\(676\) −410345. 168052.i −0.897957 0.367749i
\(677\) 300914. 521198.i 0.656545 1.13717i −0.324959 0.945728i \(-0.605351\pi\)
0.981504 0.191441i \(-0.0613161\pi\)
\(678\) −91303.4 + 7656.78i −0.198622 + 0.0166566i
\(679\) 257556. 148700.i 0.558641 0.322531i
\(680\) −32403.1 + 544353.i −0.0700758 + 1.17723i
\(681\) 119533. + 29959.8i 0.257746 + 0.0646018i
\(682\) 224633. 257180.i 0.482953 0.552927i
\(683\) 385277.i 0.825909i 0.910752 + 0.412955i \(0.135503\pi\)
−0.910752 + 0.412955i \(0.864497\pi\)
\(684\) −643947. + 532479.i −1.37638 + 1.13813i
\(685\) 35285.0 0.0751984
\(686\) 377877. + 330056.i 0.802975 + 0.701357i
\(687\) 426728. + 413107.i 0.904144 + 0.875284i
\(688\) 463817. + 120315.i 0.979873 + 0.254180i
\(689\) 13192.2 + 22849.6i 0.0277895 + 0.0481328i
\(690\) −242264. + 168338.i −0.508852 + 0.353578i
\(691\) −397767. 229651.i −0.833053 0.480963i 0.0218438 0.999761i \(-0.493046\pi\)
−0.854897 + 0.518798i \(0.826380\pi\)
\(692\) −324788. 133014.i −0.678247 0.277769i
\(693\) −215972. 115520.i −0.449709 0.240543i
\(694\) 124541. 632712.i 0.258578 1.31367i
\(695\) −15181.6 8765.10i −0.0314303 0.0181463i
\(696\) −307529. + 282022.i −0.634846 + 0.582190i
\(697\) −311866. 540168.i −0.641952 1.11189i
\(698\) −286451. 838349.i −0.587948 1.72074i
\(699\) 548191. 156458.i 1.12196 0.320217i
\(700\) 77596.9 + 100294.i 0.158361 + 0.204681i
\(701\) −127011. −0.258467 −0.129234 0.991614i \(-0.541252\pi\)
−0.129234 + 0.991614i \(0.541252\pi\)
\(702\) −68086.4 + 50661.4i −0.138161 + 0.102802i
\(703\) 903950.i 1.82908i
\(704\) −32930.3 + 275625.i −0.0664432 + 0.556126i
\(705\) 217816. + 763175.i 0.438240 + 1.53549i
\(706\) 282966. + 828150.i 0.567707 + 1.66150i
\(707\) 358820. 207165.i 0.717857 0.414455i
\(708\) 524551. + 385911.i 1.04646 + 0.769876i
\(709\) −247408. + 428523.i −0.492177 + 0.852475i −0.999959 0.00901014i \(-0.997132\pi\)
0.507783 + 0.861485i \(0.330465\pi\)
\(710\) −21487.4 + 109164.i −0.0426253 + 0.216552i
\(711\) 353730. 11477.0i 0.699733 0.0227033i
\(712\) −431865. 284834.i −0.851900 0.561864i
\(713\) −244018. + 422652.i −0.480002 + 0.831388i
\(714\) 531381. 369232.i 1.04234 0.724275i
\(715\) 36128.6 20858.8i 0.0706706 0.0408017i
\(716\) −181998. + 24700.8i −0.355011 + 0.0481820i
\(717\) 1987.85 2053.39i 0.00386674 0.00399423i
\(718\) −2785.49 2432.98i −0.00540322 0.00471943i
\(719\) 614613.i 1.18890i −0.804134 0.594448i \(-0.797371\pi\)
0.804134 0.594448i \(-0.202629\pi\)
\(720\) 427888. + 96301.0i 0.825401 + 0.185766i
\(721\) 504518. 0.970523
\(722\) −750914. + 859712.i −1.44051 + 1.64922i
\(723\) 55807.8 222660.i 0.106762 0.425957i
\(724\) −97846.7 720945.i −0.186668 1.37539i
\(725\) 64338.5 + 111438.i 0.122404 + 0.212010i
\(726\) 360472. 30229.4i 0.683908 0.0573531i
\(727\) −286999. 165699.i −0.543014 0.313509i 0.203286 0.979119i \(-0.434838\pi\)
−0.746299 + 0.665610i \(0.768171\pi\)
\(728\) −45757.4 + 69377.4i −0.0863373 + 0.130905i
\(729\) −51629.3 528927.i −0.0971495 0.995270i
\(730\) −786182. 154749.i −1.47529 0.290390i
\(731\) −652999. 377009.i −1.22202 0.705532i
\(732\) −376179. 41808.8i −0.702057 0.0780271i
\(733\) 25808.4 + 44701.5i 0.0480345 + 0.0831982i 0.889043 0.457824i \(-0.151371\pi\)
−0.841008 + 0.541022i \(0.818038\pi\)
\(734\) −154426. + 52764.9i −0.286634 + 0.0979383i
\(735\) 18984.1 75742.1i 0.0351411 0.140205i
\(736\) −29901.1 395603.i −0.0551990 0.730305i
\(737\) 4594.79 0.00845923
\(738\) −469204. + 177511.i −0.861487 + 0.325921i
\(739\) 228968.i 0.419263i 0.977780 + 0.209631i \(0.0672264\pi\)
−0.977780 + 0.209631i \(0.932774\pi\)
\(740\) 375269. 290344.i 0.685298 0.530212i
\(741\) −117464. + 121337.i −0.213928 + 0.220981i
\(742\) −153107. + 52314.4i −0.278092 + 0.0950196i
\(743\) −910009. + 525394.i −1.64842 + 0.951716i −0.670720 + 0.741711i \(0.734015\pi\)
−0.977700 + 0.210005i \(0.932652\pi\)
\(744\) 708307. 157321.i 1.27960 0.284211i
\(745\) −33025.0 + 57201.0i −0.0595018 + 0.103060i
\(746\) 920459. + 181179.i 1.65397 + 0.325560i
\(747\) 61690.8 2001.60i 0.110555 0.00358704i
\(748\) 165545. 404223.i 0.295878 0.722466i
\(749\) −139692. + 241953.i −0.249004 + 0.431288i
\(750\) 260278. 552961.i 0.462717 0.983041i
\(751\) −233295. + 134693.i −0.413643 + 0.238817i −0.692354 0.721558i \(-0.743426\pi\)
0.278711 + 0.960375i \(0.410093\pi\)
\(752\) −1.03312e6 267993.i −1.82690 0.473901i
\(753\) −101241. 354724.i −0.178553 0.625606i
\(754\) −55478.1 + 63516.2i −0.0975840 + 0.111723i
\(755\) 193735.i 0.339870i
\(756\) −224186. 469667.i −0.392251 0.821764i
\(757\) −476176. −0.830952 −0.415476 0.909604i \(-0.636385\pi\)
−0.415476 + 0.909604i \(0.636385\pi\)
\(758\) 559002. + 488259.i 0.972915 + 0.849791i
\(759\) 227233. 64854.1i 0.394446 0.112578i
\(760\) 871228. + 51860.6i 1.50836 + 0.0897863i
\(761\) −242197. 419498.i −0.418215 0.724370i 0.577545 0.816359i \(-0.304011\pi\)
−0.995760 + 0.0919890i \(0.970678\pi\)
\(762\) −17265.2 8126.71i −0.0297345 0.0139960i
\(763\) −133421.