Properties

Label 36.5.f.a.7.15
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 7.15
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.52726 + 3.69695i) q^{2} +(4.76702 - 7.63384i) q^{3} +(-11.3349 + 11.2924i) q^{4} +(11.0746 + 19.1817i) q^{5} +(35.5025 + 5.96455i) q^{6} +(82.7885 + 47.7980i) q^{7} +(-59.0591 - 24.6582i) q^{8} +(-35.5511 - 72.7813i) q^{9} +O(q^{10})\) \(q+(1.52726 + 3.69695i) q^{2} +(4.76702 - 7.63384i) q^{3} +(-11.3349 + 11.2924i) q^{4} +(11.0746 + 19.1817i) q^{5} +(35.5025 + 5.96455i) q^{6} +(82.7885 + 47.7980i) q^{7} +(-59.0591 - 24.6582i) q^{8} +(-35.5511 - 72.7813i) q^{9} +(-54.0000 + 70.2376i) q^{10} +(-18.9394 - 10.9346i) q^{11} +(32.1709 + 140.360i) q^{12} +(-63.1124 - 109.314i) q^{13} +(-50.2669 + 379.065i) q^{14} +(199.223 + 6.89808i) q^{15} +(0.961243 - 255.998i) q^{16} -283.865 q^{17} +(214.773 - 242.587i) q^{18} -323.729i q^{19} +(-342.138 - 92.3643i) q^{20} +(759.536 - 404.141i) q^{21} +(11.4995 - 86.7180i) q^{22} +(198.433 - 114.565i) q^{23} +(-469.772 + 333.302i) q^{24} +(67.2085 - 116.409i) q^{25} +(307.739 - 400.274i) q^{26} +(-725.074 - 75.5587i) q^{27} +(-1478.16 + 393.098i) q^{28} +(-604.822 + 1047.58i) q^{29} +(278.764 + 747.052i) q^{30} +(718.565 - 414.863i) q^{31} +(947.881 - 387.423i) q^{32} +(-173.758 + 92.4544i) q^{33} +(-433.537 - 1049.44i) q^{34} +2117.36i q^{35} +(1224.85 + 423.513i) q^{36} -318.650 q^{37} +(1196.81 - 494.420i) q^{38} +(-1135.34 - 39.3112i) q^{39} +(-181.068 - 1405.93i) q^{40} +(-164.418 - 284.781i) q^{41} +(2654.10 + 2190.74i) q^{42} +(-179.336 - 103.539i) q^{43} +(338.155 - 89.9283i) q^{44} +(1002.36 - 1487.95i) q^{45} +(726.602 + 558.626i) q^{46} +(-1062.42 - 613.390i) q^{47} +(-1949.67 - 1227.69i) q^{48} +(3368.79 + 5834.92i) q^{49} +(533.002 + 70.6801i) q^{50} +(-1353.19 + 2166.98i) q^{51} +(1949.79 + 526.371i) q^{52} -2834.27 q^{53} +(-828.042 - 2795.96i) q^{54} -484.385i q^{55} +(-3710.80 - 4864.32i) q^{56} +(-2471.30 - 1543.22i) q^{57} +(-4796.58 - 636.063i) q^{58} +(1278.13 - 737.929i) q^{59} +(-2336.07 + 2171.52i) q^{60} +(936.180 - 1621.51i) q^{61} +(2631.17 + 2022.89i) q^{62} +(535.579 - 7724.73i) q^{63} +(2879.95 + 2912.58i) q^{64} +(1397.88 - 2421.20i) q^{65} +(-607.173 - 501.171i) q^{66} +(214.663 - 123.936i) q^{67} +(3217.59 - 3205.53i) q^{68} +(71.3600 - 2060.94i) q^{69} +(-7827.80 + 3233.77i) q^{70} +4308.28i q^{71} +(304.960 + 5175.02i) q^{72} +3010.75 q^{73} +(-486.662 - 1178.03i) q^{74} +(-568.260 - 1067.98i) q^{75} +(3655.69 + 3669.45i) q^{76} +(-1045.31 - 1810.52i) q^{77} +(-1588.64 - 4257.34i) q^{78} +(6228.39 + 3595.96i) q^{79} +(4921.12 - 2816.63i) q^{80} +(-4033.24 + 5174.91i) q^{81} +(801.712 - 1042.78i) q^{82} +(2877.35 + 1661.24i) q^{83} +(-4045.56 + 13157.9i) q^{84} +(-3143.68 - 5445.01i) q^{85} +(108.888 - 821.128i) q^{86} +(5113.88 + 9610.95i) q^{87} +(848.913 + 1112.80i) q^{88} -1549.85 q^{89} +(7031.75 + 1433.17i) q^{90} -12066.6i q^{91} +(-955.500 + 3539.38i) q^{92} +(258.409 - 7463.07i) q^{93} +(645.075 - 4864.54i) q^{94} +(6209.67 - 3585.16i) q^{95} +(1561.04 - 9082.83i) q^{96} +(-2918.68 + 5055.31i) q^{97} +(-16426.4 + 21365.7i) q^{98} +(-122.523 + 1767.17i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.52726 + 3.69695i 0.381816 + 0.924238i
\(3\) 4.76702 7.63384i 0.529669 0.848205i
\(4\) −11.3349 + 11.2924i −0.708433 + 0.705778i
\(5\) 11.0746 + 19.1817i 0.442982 + 0.767268i 0.997909 0.0646314i \(-0.0205872\pi\)
−0.554927 + 0.831899i \(0.687254\pi\)
\(6\) 35.5025 + 5.96455i 0.986179 + 0.165682i
\(7\) 82.7885 + 47.7980i 1.68956 + 0.975469i 0.954850 + 0.297089i \(0.0960158\pi\)
0.734711 + 0.678380i \(0.237318\pi\)
\(8\) −59.0591 24.6582i −0.922798 0.385284i
\(9\) −35.5511 72.7813i −0.438902 0.898535i
\(10\) −54.0000 + 70.2376i −0.540000 + 0.702376i
\(11\) −18.9394 10.9346i −0.156524 0.0903689i 0.419692 0.907666i \(-0.362138\pi\)
−0.576216 + 0.817297i \(0.695471\pi\)
\(12\) 32.1709 + 140.360i 0.223409 + 0.974725i
\(13\) −63.1124 109.314i −0.373446 0.646827i 0.616647 0.787240i \(-0.288491\pi\)
−0.990093 + 0.140412i \(0.955157\pi\)
\(14\) −50.2669 + 379.065i −0.256464 + 1.93401i
\(15\) 199.223 + 6.89808i 0.885434 + 0.0306581i
\(16\) 0.961243 255.998i 0.00375485 0.999993i
\(17\) −283.865 −0.982232 −0.491116 0.871094i \(-0.663411\pi\)
−0.491116 + 0.871094i \(0.663411\pi\)
\(18\) 214.773 242.587i 0.662881 0.748725i
\(19\) 323.729i 0.896756i −0.893844 0.448378i \(-0.852002\pi\)
0.893844 0.448378i \(-0.147998\pi\)
\(20\) −342.138 92.3643i −0.855344 0.230911i
\(21\) 759.536 404.141i 1.72230 0.916418i
\(22\) 11.4995 86.7180i 0.0237592 0.179169i
\(23\) 198.433 114.565i 0.375109 0.216570i −0.300579 0.953757i \(-0.597180\pi\)
0.675688 + 0.737187i \(0.263847\pi\)
\(24\) −469.772 + 333.302i −0.815577 + 0.578649i
\(25\) 67.2085 116.409i 0.107534 0.186254i
\(26\) 307.739 400.274i 0.455235 0.592122i
\(27\) −725.074 75.5587i −0.994614 0.103647i
\(28\) −1478.16 + 393.098i −1.88541 + 0.501401i
\(29\) −604.822 + 1047.58i −0.719170 + 1.24564i 0.242160 + 0.970236i \(0.422144\pi\)
−0.961329 + 0.275402i \(0.911189\pi\)
\(30\) 278.764 + 747.052i 0.309737 + 0.830058i
\(31\) 718.565 414.863i 0.747726 0.431700i −0.0771458 0.997020i \(-0.524581\pi\)
0.824872 + 0.565320i \(0.191247\pi\)
\(32\) 947.881 387.423i 0.925666 0.378343i
\(33\) −173.758 + 92.4544i −0.159557 + 0.0848984i
\(34\) −433.537 1049.44i −0.375032 0.907816i
\(35\) 2117.36i 1.72846i
\(36\) 1224.85 + 423.513i 0.945099 + 0.326784i
\(37\) −318.650 −0.232761 −0.116380 0.993205i \(-0.537129\pi\)
−0.116380 + 0.993205i \(0.537129\pi\)
\(38\) 1196.81 494.420i 0.828817 0.342396i
\(39\) −1135.34 39.3112i −0.746444 0.0258456i
\(40\) −181.068 1405.93i −0.113167 0.878707i
\(41\) −164.418 284.781i −0.0978099 0.169412i 0.812968 0.582308i \(-0.197850\pi\)
−0.910778 + 0.412897i \(0.864517\pi\)
\(42\) 2654.10 + 2190.74i 1.50459 + 1.24192i
\(43\) −179.336 103.539i −0.0969906 0.0559976i 0.450720 0.892665i \(-0.351167\pi\)
−0.547711 + 0.836668i \(0.684501\pi\)
\(44\) 338.155 89.9283i 0.174667 0.0464506i
\(45\) 1002.36 1487.95i 0.494991 0.734790i
\(46\) 726.602 + 558.626i 0.343385 + 0.264001i
\(47\) −1062.42 613.390i −0.480952 0.277678i 0.239861 0.970807i \(-0.422898\pi\)
−0.720813 + 0.693129i \(0.756231\pi\)
\(48\) −1949.67 1227.69i −0.846210 0.532850i
\(49\) 3368.79 + 5834.92i 1.40308 + 2.43020i
\(50\) 533.002 + 70.6801i 0.213201 + 0.0282720i
\(51\) −1353.19 + 2166.98i −0.520258 + 0.833134i
\(52\) 1949.79 + 526.371i 0.721078 + 0.194664i
\(53\) −2834.27 −1.00900 −0.504499 0.863412i \(-0.668323\pi\)
−0.504499 + 0.863412i \(0.668323\pi\)
\(54\) −828.042 2795.96i −0.283965 0.958835i
\(55\) 484.385i 0.160127i
\(56\) −3710.80 4864.32i −1.18329 1.55112i
\(57\) −2471.30 1543.22i −0.760633 0.474984i
\(58\) −4796.58 636.063i −1.42586 0.189079i
\(59\) 1278.13 737.929i 0.367173 0.211988i −0.305049 0.952337i \(-0.598673\pi\)
0.672223 + 0.740349i \(0.265340\pi\)
\(60\) −2336.07 + 2171.52i −0.648908 + 0.603200i
\(61\) 936.180 1621.51i 0.251594 0.435773i −0.712371 0.701803i \(-0.752379\pi\)
0.963965 + 0.266030i \(0.0857120\pi\)
\(62\) 2631.17 + 2022.89i 0.684487 + 0.526247i
\(63\) 535.579 7724.73i 0.134941 1.94627i
\(64\) 2879.95 + 2912.58i 0.703113 + 0.711078i
\(65\) 1397.88 2421.20i 0.330860 0.573066i
\(66\) −607.173 501.171i −0.139388 0.115053i
\(67\) 214.663 123.936i 0.0478197 0.0276087i −0.475900 0.879500i \(-0.657877\pi\)
0.523719 + 0.851891i \(0.324544\pi\)
\(68\) 3217.59 3205.53i 0.695846 0.693238i
\(69\) 71.3600 2060.94i 0.0149885 0.432880i
\(70\) −7827.80 + 3233.77i −1.59751 + 0.659954i
\(71\) 4308.28i 0.854648i 0.904099 + 0.427324i \(0.140544\pi\)
−0.904099 + 0.427324i \(0.859456\pi\)
\(72\) 304.960 + 5175.02i 0.0588272 + 0.998268i
\(73\) 3010.75 0.564974 0.282487 0.959271i \(-0.408841\pi\)
0.282487 + 0.959271i \(0.408841\pi\)
\(74\) −486.662 1178.03i −0.0888718 0.215126i
\(75\) −568.260 1067.98i −0.101024 0.189863i
\(76\) 3655.69 + 3669.45i 0.632911 + 0.635292i
\(77\) −1045.31 1810.52i −0.176304 0.305368i
\(78\) −1588.64 4257.34i −0.261117 0.699761i
\(79\) 6228.39 + 3595.96i 0.997980 + 0.576184i 0.907650 0.419728i \(-0.137874\pi\)
0.0903300 + 0.995912i \(0.471208\pi\)
\(80\) 4921.12 2816.63i 0.768926 0.440098i
\(81\) −4033.24 + 5174.91i −0.614730 + 0.788738i
\(82\) 801.712 1042.78i 0.119231 0.155084i
\(83\) 2877.35 + 1661.24i 0.417673 + 0.241144i 0.694081 0.719897i \(-0.255811\pi\)
−0.276408 + 0.961040i \(0.589144\pi\)
\(84\) −4045.56 + 13157.9i −0.573350 + 1.86479i
\(85\) −3143.68 5445.01i −0.435111 0.753635i
\(86\) 108.888 821.128i 0.0147225 0.111023i
\(87\) 5113.88 + 9610.95i 0.675634 + 1.26978i
\(88\) 848.913 + 1112.80i 0.109622 + 0.143698i
\(89\) −1549.85 −0.195664 −0.0978318 0.995203i \(-0.531191\pi\)
−0.0978318 + 0.995203i \(0.531191\pi\)
\(90\) 7031.75 + 1433.17i 0.868117 + 0.176935i
\(91\) 12066.6i 1.45714i
\(92\) −955.500 + 3539.38i −0.112890 + 0.418169i
\(93\) 258.409 7463.07i 0.0298773 0.862882i
\(94\) 645.075 4864.54i 0.0730053 0.550536i
\(95\) 6209.67 3585.16i 0.688052 0.397247i
\(96\) 1561.04 9082.83i 0.169384 0.985550i
\(97\) −2918.68 + 5055.31i −0.310201 + 0.537285i −0.978406 0.206693i \(-0.933730\pi\)
0.668204 + 0.743978i \(0.267063\pi\)
\(98\) −16426.4 + 21365.7i −1.71037 + 2.22467i
\(99\) −122.523 + 1767.17i −0.0125011 + 0.180305i
\(100\) 552.734 + 2078.43i 0.0552734 + 0.207843i
\(101\) 2749.50 4762.27i 0.269532 0.466844i −0.699209 0.714918i \(-0.746464\pi\)
0.968741 + 0.248074i \(0.0797976\pi\)
\(102\) −10077.9 1693.13i −0.968657 0.162738i
\(103\) −15530.7 + 8966.63i −1.46391 + 0.845191i −0.999189 0.0402641i \(-0.987180\pi\)
−0.464725 + 0.885455i \(0.653847\pi\)
\(104\) 1031.88 + 8012.21i 0.0954032 + 0.740774i
\(105\) 16163.6 + 10093.5i 1.46609 + 0.915512i
\(106\) −4328.69 10478.2i −0.385251 0.932554i
\(107\) 8715.17i 0.761217i −0.924736 0.380608i \(-0.875715\pi\)
0.924736 0.380608i \(-0.124285\pi\)
\(108\) 9071.90 7331.40i 0.777769 0.628550i
\(109\) −12162.1 −1.02366 −0.511830 0.859087i \(-0.671032\pi\)
−0.511830 + 0.859087i \(0.671032\pi\)
\(110\) 1790.75 739.784i 0.147996 0.0611392i
\(111\) −1519.01 + 2432.52i −0.123286 + 0.197429i
\(112\) 12315.8 21147.8i 0.981806 1.68589i
\(113\) 10236.7 + 17730.5i 0.801684 + 1.38856i 0.918507 + 0.395404i \(0.129396\pi\)
−0.116823 + 0.993153i \(0.537271\pi\)
\(114\) 1930.90 11493.2i 0.148576 0.884363i
\(115\) 4395.11 + 2537.52i 0.332334 + 0.191873i
\(116\) −4974.15 18704.2i −0.369661 1.39003i
\(117\) −5712.29 + 8479.62i −0.417291 + 0.619448i
\(118\) 4680.13 + 3598.18i 0.336120 + 0.258415i
\(119\) −23500.8 13568.2i −1.65954 0.958136i
\(120\) −11595.8 5319.86i −0.805265 0.369434i
\(121\) −7081.37 12265.3i −0.483667 0.837736i
\(122\) 7424.45 + 984.538i 0.498821 + 0.0661474i
\(123\) −2957.76 102.412i −0.195503 0.00676928i
\(124\) −3460.05 + 12816.8i −0.225030 + 0.833559i
\(125\) 16820.4 1.07651
\(126\) 29375.9 9817.68i 1.85034 0.618398i
\(127\) 8130.42i 0.504087i 0.967716 + 0.252044i \(0.0811026\pi\)
−0.967716 + 0.252044i \(0.918897\pi\)
\(128\) −6369.21 + 15095.3i −0.388746 + 0.921345i
\(129\) −1645.30 + 875.445i −0.0988703 + 0.0526077i
\(130\) 11086.0 + 1470.09i 0.655977 + 0.0869875i
\(131\) −14095.1 + 8137.79i −0.821343 + 0.474203i −0.850879 0.525361i \(-0.823930\pi\)
0.0295362 + 0.999564i \(0.490597\pi\)
\(132\) 925.493 3010.11i 0.0531160 0.172757i
\(133\) 15473.6 26801.0i 0.874758 1.51512i
\(134\) 786.030 + 604.315i 0.0437754 + 0.0336554i
\(135\) −6580.52 14744.9i −0.361071 0.809049i
\(136\) 16764.8 + 6999.59i 0.906402 + 0.378438i
\(137\) −12331.4 + 21358.7i −0.657011 + 1.13798i 0.324375 + 0.945929i \(0.394846\pi\)
−0.981386 + 0.192047i \(0.938487\pi\)
\(138\) 7728.18 2883.78i 0.405807 0.151427i
\(139\) −17078.1 + 9860.04i −0.883913 + 0.510328i −0.871947 0.489601i \(-0.837143\pi\)
−0.0119667 + 0.999928i \(0.503809\pi\)
\(140\) −23910.2 24000.2i −1.21991 1.22450i
\(141\) −9747.12 + 5186.33i −0.490273 + 0.260869i
\(142\) −15927.5 + 6579.88i −0.789898 + 0.326318i
\(143\) 2760.44i 0.134992i
\(144\) −18666.1 + 9031.05i −0.900177 + 0.435525i
\(145\) −26792.5 −1.27432
\(146\) 4598.21 + 11130.6i 0.215716 + 0.522171i
\(147\) 60601.9 + 2098.34i 2.80448 + 0.0971050i
\(148\) 3611.87 3598.33i 0.164895 0.164277i
\(149\) −14942.7 25881.6i −0.673066 1.16578i −0.977030 0.213101i \(-0.931644\pi\)
0.303965 0.952683i \(-0.401690\pi\)
\(150\) 3080.39 3731.92i 0.136906 0.165863i
\(151\) 5164.11 + 2981.50i 0.226486 + 0.130762i 0.608950 0.793209i \(-0.291591\pi\)
−0.382464 + 0.923970i \(0.624924\pi\)
\(152\) −7982.56 + 19119.1i −0.345506 + 0.827525i
\(153\) 10091.7 + 20660.1i 0.431104 + 0.882570i
\(154\) 5096.97 6629.60i 0.214917 0.279541i
\(155\) 15915.6 + 9188.85i 0.662458 + 0.382471i
\(156\) 13312.9 12375.2i 0.547047 0.508514i
\(157\) 17493.5 + 30299.6i 0.709704 + 1.22924i 0.964967 + 0.262372i \(0.0845048\pi\)
−0.255262 + 0.966872i \(0.582162\pi\)
\(158\) −3781.71 + 28518.1i −0.151487 + 1.14237i
\(159\) −13511.0 + 21636.4i −0.534435 + 0.855837i
\(160\) 17928.8 + 13891.4i 0.700344 + 0.542634i
\(161\) 21903.9 0.845027
\(162\) −25291.2 7007.26i −0.963695 0.267004i
\(163\) 14509.8i 0.546118i −0.961997 0.273059i \(-0.911965\pi\)
0.961997 0.273059i \(-0.0880354\pi\)
\(164\) 5079.55 + 1371.29i 0.188859 + 0.0509848i
\(165\) −3697.72 2309.07i −0.135821 0.0848144i
\(166\) −1747.05 + 13174.6i −0.0634000 + 0.478102i
\(167\) 38640.1 22308.9i 1.38550 0.799917i 0.392693 0.919670i \(-0.371543\pi\)
0.992804 + 0.119753i \(0.0382102\pi\)
\(168\) −54822.9 + 5139.40i −1.94242 + 0.182093i
\(169\) 6314.16 10936.5i 0.221076 0.382916i
\(170\) 15328.7 19938.0i 0.530406 0.689896i
\(171\) −23561.4 + 11508.9i −0.805767 + 0.393588i
\(172\) 3201.97 851.526i 0.108233 0.0287833i
\(173\) 26443.3 45801.1i 0.883534 1.53033i 0.0361488 0.999346i \(-0.488491\pi\)
0.847385 0.530979i \(-0.178176\pi\)
\(174\) −27721.0 + 33584.2i −0.915610 + 1.10927i
\(175\) 11128.2 6424.86i 0.363369 0.209791i
\(176\) −2817.45 + 4837.93i −0.0909560 + 0.156183i
\(177\) 459.639 13274.8i 0.0146714 0.423721i
\(178\) −2367.03 5729.73i −0.0747075 0.180840i
\(179\) 32840.8i 1.02496i −0.858698 0.512482i \(-0.828726\pi\)
0.858698 0.512482i \(-0.171274\pi\)
\(180\) 5440.96 + 28184.9i 0.167931 + 0.869903i
\(181\) −22758.6 −0.694685 −0.347343 0.937738i \(-0.612916\pi\)
−0.347343 + 0.937738i \(0.612916\pi\)
\(182\) 44609.5 18428.8i 1.34674 0.556359i
\(183\) −7915.57 14876.4i −0.236363 0.444218i
\(184\) −14544.2 + 1873.13i −0.429591 + 0.0553264i
\(185\) −3528.90 6112.24i −0.103109 0.178590i
\(186\) 27985.3 10442.8i 0.808917 0.301849i
\(187\) 5376.22 + 3103.96i 0.153742 + 0.0887632i
\(188\) 18969.2 5044.62i 0.536701 0.142729i
\(189\) −56416.2 40912.4i −1.57936 1.14533i
\(190\) 22738.0 + 17481.4i 0.629860 + 0.484249i
\(191\) 49799.3 + 28751.7i 1.36508 + 0.788127i 0.990294 0.138986i \(-0.0443843\pi\)
0.374782 + 0.927113i \(0.377718\pi\)
\(192\) 35962.9 8100.78i 0.975557 0.219748i
\(193\) 22470.8 + 38920.5i 0.603259 + 1.04488i 0.992324 + 0.123665i \(0.0394648\pi\)
−0.389065 + 0.921210i \(0.627202\pi\)
\(194\) −23146.9 3069.45i −0.615019 0.0815562i
\(195\) −11819.4 22213.1i −0.310831 0.584172i
\(196\) −104076. 28096.5i −2.70917 0.731374i
\(197\) −44514.7 −1.14702 −0.573510 0.819198i \(-0.694419\pi\)
−0.573510 + 0.819198i \(0.694419\pi\)
\(198\) −6720.27 + 2245.97i −0.171418 + 0.0572893i
\(199\) 19066.9i 0.481474i −0.970590 0.240737i \(-0.922611\pi\)
0.970590 0.240737i \(-0.0773892\pi\)
\(200\) −6839.69 + 5217.74i −0.170992 + 0.130444i
\(201\) 77.1966 2229.50i 0.00191076 0.0551844i
\(202\) 21805.1 + 2891.52i 0.534387 + 0.0708637i
\(203\) −100145. + 57818.5i −2.43016 + 1.40305i
\(204\) −9132.20 39843.4i −0.219440 0.957406i
\(205\) 3641.72 6307.65i 0.0866561 0.150093i
\(206\) −56868.6 43721.7i −1.34010 1.03030i
\(207\) −15392.7 10369.3i −0.359232 0.241996i
\(208\) −28044.8 + 16051.6i −0.648225 + 0.371014i
\(209\) −3539.86 + 6131.22i −0.0810389 + 0.140364i
\(210\) −12629.1 + 75171.6i −0.286375 + 1.70457i
\(211\) −825.251 + 476.459i −0.0185362 + 0.0107019i −0.509239 0.860625i \(-0.670073\pi\)
0.490703 + 0.871327i \(0.336740\pi\)
\(212\) 32126.3 32005.9i 0.714807 0.712128i
\(213\) 32888.7 + 20537.6i 0.724916 + 0.452680i
\(214\) 32219.6 13310.4i 0.703546 0.290645i
\(215\) 4586.61i 0.0992237i
\(216\) 40959.1 + 22341.4i 0.877895 + 0.478854i
\(217\) 79318.5 1.68444
\(218\) −18574.7 44962.7i −0.390850 0.946106i
\(219\) 14352.3 22983.6i 0.299249 0.479214i
\(220\) 5469.89 + 5490.47i 0.113014 + 0.113439i
\(221\) 17915.4 + 31030.4i 0.366810 + 0.635334i
\(222\) −11312.8 1900.60i −0.229544 0.0385643i
\(223\) 37535.4 + 21671.1i 0.754800 + 0.435784i 0.827426 0.561575i \(-0.189805\pi\)
−0.0726258 + 0.997359i \(0.523138\pi\)
\(224\) 96991.7 + 13232.6i 1.93303 + 0.263724i
\(225\) −10861.7 753.076i −0.214552 0.0148756i
\(226\) −49914.6 + 64923.7i −0.977262 + 1.27112i
\(227\) 5202.66 + 3003.76i 0.100966 + 0.0582925i 0.549633 0.835406i \(-0.314768\pi\)
−0.448667 + 0.893699i \(0.648101\pi\)
\(228\) 45438.7 10414.7i 0.874091 0.200344i
\(229\) 2038.17 + 3530.22i 0.0388660 + 0.0673180i 0.884804 0.465963i \(-0.154292\pi\)
−0.845938 + 0.533281i \(0.820959\pi\)
\(230\) −2668.59 + 20124.0i −0.0504460 + 0.380416i
\(231\) −18804.3 651.097i −0.352397 0.0122017i
\(232\) 61551.6 46955.4i 1.14357 0.872388i
\(233\) −37427.6 −0.689414 −0.344707 0.938710i \(-0.612022\pi\)
−0.344707 + 0.938710i \(0.612022\pi\)
\(234\) −40072.9 8167.45i −0.731846 0.149161i
\(235\) 27172.1i 0.492025i
\(236\) −6154.50 + 22797.6i −0.110502 + 0.409322i
\(237\) 57141.9 30404.5i 1.01732 0.541305i
\(238\) 14269.0 107603.i 0.251907 1.89964i
\(239\) 22212.3 12824.3i 0.388865 0.224511i −0.292804 0.956173i \(-0.594588\pi\)
0.681668 + 0.731662i \(0.261255\pi\)
\(240\) 1957.40 50994.0i 0.0339826 0.885312i
\(241\) −38300.8 + 66339.0i −0.659438 + 1.14218i 0.321323 + 0.946970i \(0.395872\pi\)
−0.980761 + 0.195211i \(0.937461\pi\)
\(242\) 34529.1 44911.8i 0.589596 0.766884i
\(243\) 20277.9 + 55458.0i 0.343408 + 0.939186i
\(244\) 7699.30 + 28951.5i 0.129322 + 0.486285i
\(245\) −74615.7 + 129238.i −1.24308 + 2.15307i
\(246\) −4138.67 11091.1i −0.0683896 0.183276i
\(247\) −35388.1 + 20431.3i −0.580046 + 0.334890i
\(248\) −52667.5 + 6782.98i −0.856327 + 0.110285i
\(249\) 26398.0 14046.1i 0.425768 0.226546i
\(250\) 25689.2 + 62184.3i 0.411027 + 0.994948i
\(251\) 66642.6i 1.05780i 0.848683 + 0.528902i \(0.177396\pi\)
−0.848683 + 0.528902i \(0.822604\pi\)
\(252\) 81160.3 + 93607.2i 1.27803 + 1.47404i
\(253\) −5010.92 −0.0782846
\(254\) −30057.8 + 12417.3i −0.465897 + 0.192468i
\(255\) −56552.3 1958.12i −0.869701 0.0301134i
\(256\) −65534.2 492.153i −0.999972 0.00750966i
\(257\) −29713.2 51464.8i −0.449866 0.779191i 0.548511 0.836143i \(-0.315195\pi\)
−0.998377 + 0.0569526i \(0.981862\pi\)
\(258\) −5749.29 4745.56i −0.0863723 0.0712932i
\(259\) −26380.5 15230.8i −0.393264 0.227051i
\(260\) 11496.4 + 43229.7i 0.170065 + 0.639492i
\(261\) 97746.4 + 6777.07i 1.43489 + 0.0994857i
\(262\) −51611.9 39680.3i −0.751878 0.578059i
\(263\) −21772.1 12570.2i −0.314767 0.181731i 0.334290 0.942470i \(-0.391503\pi\)
−0.649058 + 0.760739i \(0.724837\pi\)
\(264\) 12541.7 1175.73i 0.179949 0.0168694i
\(265\) −31388.3 54366.2i −0.446968 0.774171i
\(266\) 122714. + 16272.9i 1.73433 + 0.229986i
\(267\) −7388.17 + 11831.3i −0.103637 + 0.165963i
\(268\) −1033.65 + 3828.87i −0.0143914 + 0.0533090i
\(269\) 2553.46 0.0352877 0.0176439 0.999844i \(-0.494383\pi\)
0.0176439 + 0.999844i \(0.494383\pi\)
\(270\) 44461.1 46847.3i 0.609891 0.642624i
\(271\) 4623.11i 0.0629499i 0.999505 + 0.0314750i \(0.0100204\pi\)
−0.999505 + 0.0314750i \(0.989980\pi\)
\(272\) −272.863 + 72668.9i −0.00368814 + 0.982225i
\(273\) −92114.3 57521.6i −1.23595 0.771801i
\(274\) −97795.3 12968.4i −1.30262 0.172737i
\(275\) −2545.77 + 1469.80i −0.0336631 + 0.0194354i
\(276\) 22464.2 + 24166.4i 0.294899 + 0.317245i
\(277\) 4927.19 8534.14i 0.0642154 0.111224i −0.832130 0.554580i \(-0.812879\pi\)
0.896346 + 0.443356i \(0.146212\pi\)
\(278\) −62534.9 48078.0i −0.809157 0.622095i
\(279\) −55740.0 37549.2i −0.716076 0.482384i
\(280\) 52210.3 125050.i 0.665948 1.59502i
\(281\) 24208.6 41930.5i 0.306589 0.531028i −0.671025 0.741435i \(-0.734146\pi\)
0.977614 + 0.210407i \(0.0674789\pi\)
\(282\) −34060.0 28113.7i −0.428299 0.353525i
\(283\) 114515. 66115.1i 1.42984 0.825520i 0.432735 0.901521i \(-0.357549\pi\)
0.997108 + 0.0760012i \(0.0242153\pi\)
\(284\) −48651.0 48834.0i −0.603192 0.605461i
\(285\) 2233.11 64494.1i 0.0274929 0.794018i
\(286\) −10205.2 + 4215.93i −0.124764 + 0.0515420i
\(287\) 31435.5i 0.381642i
\(288\) −61895.4 55214.8i −0.746231 0.665687i
\(289\) −2941.65 −0.0352205
\(290\) −40919.2 99050.7i −0.486555 1.17777i
\(291\) 24678.0 + 46379.5i 0.291423 + 0.547697i
\(292\) −34126.6 + 33998.7i −0.400247 + 0.398747i
\(293\) 44759.6 + 77525.8i 0.521375 + 0.903049i 0.999691 + 0.0248607i \(0.00791423\pi\)
−0.478315 + 0.878188i \(0.658752\pi\)
\(294\) 84797.7 + 227247.i 0.981046 + 2.62908i
\(295\) 28309.5 + 16344.5i 0.325303 + 0.187814i
\(296\) 18819.1 + 7857.31i 0.214791 + 0.0896789i
\(297\) 12906.2 + 9359.45i 0.146314 + 0.106105i
\(298\) 72861.5 94770.6i 0.820475 1.06719i
\(299\) −25047.1 14461.0i −0.280166 0.161754i
\(300\) 18501.3 + 5688.44i 0.205570 + 0.0632049i
\(301\) −9897.95 17143.8i −0.109248 0.189223i
\(302\) −3135.51 + 23645.0i −0.0343791 + 0.259254i
\(303\) −23247.5 43691.1i −0.253216 0.475891i
\(304\) −82874.1 311.182i −0.896750 0.00336719i
\(305\) 41471.1 0.445806
\(306\) −60966.6 + 68861.9i −0.651102 + 0.735422i
\(307\) 62726.9i 0.665545i −0.943007 0.332772i \(-0.892016\pi\)
0.943007 0.332772i \(-0.107984\pi\)
\(308\) 32293.7 + 8718.10i 0.340421 + 0.0919010i
\(309\) −5585.11 + 161303.i −0.0584944 + 1.68937i
\(310\) −9663.50 + 72872.9i −0.100557 + 0.758303i
\(311\) 106333. 61391.4i 1.09938 0.634726i 0.163321 0.986573i \(-0.447779\pi\)
0.936058 + 0.351847i \(0.114446\pi\)
\(312\) 66082.9 + 30317.1i 0.678860 + 0.311443i
\(313\) 24294.6 42079.4i 0.247982 0.429518i −0.714984 0.699141i \(-0.753566\pi\)
0.962966 + 0.269623i \(0.0868992\pi\)
\(314\) −85299.2 + 110948.i −0.865138 + 1.12528i
\(315\) 154105. 75274.6i 1.55308 0.758625i
\(316\) −111206. + 29573.8i −1.11366 + 0.296164i
\(317\) 55066.7 95378.4i 0.547988 0.949143i −0.450425 0.892815i \(-0.648727\pi\)
0.998412 0.0563282i \(-0.0179393\pi\)
\(318\) −100624. 16905.2i −0.995053 0.167173i
\(319\) 22909.9 13227.0i 0.225134 0.129981i
\(320\) −23974.0 + 87497.8i −0.234121 + 0.854471i
\(321\) −66530.2 41545.4i −0.645667 0.403193i
\(322\) 33453.1 + 80977.9i 0.322645 + 0.781006i
\(323\) 91895.4i 0.880823i
\(324\) −12720.9 104202.i −0.121179 0.992631i
\(325\) −16966.7 −0.160632
\(326\) 53642.1 22160.3i 0.504743 0.208517i
\(327\) −57977.0 + 92843.6i −0.542201 + 0.868273i
\(328\) 2688.23 + 20873.2i 0.0249872 + 0.194017i
\(329\) −58637.6 101563.i −0.541732 0.938308i
\(330\) 2889.14 17196.9i 0.0265302 0.157914i
\(331\) −159800. 92260.3i −1.45854 0.842091i −0.459605 0.888124i \(-0.652009\pi\)
−0.998940 + 0.0460325i \(0.985342\pi\)
\(332\) −51374.0 + 13662.3i −0.466087 + 0.123950i
\(333\) 11328.3 + 23191.7i 0.102159 + 0.209144i
\(334\) 141489. + 108779.i 1.26832 + 0.975108i
\(335\) 4754.59 + 2745.06i 0.0423665 + 0.0244603i
\(336\) −102729. 194828.i −0.909945 1.72573i
\(337\) −32813.1 56833.9i −0.288926 0.500435i 0.684628 0.728893i \(-0.259965\pi\)
−0.973554 + 0.228458i \(0.926632\pi\)
\(338\) 50074.9 + 6640.32i 0.438316 + 0.0581240i
\(339\) 184150. + 6376.20i 1.60241 + 0.0554834i
\(340\) 97120.9 + 26219.0i 0.840146 + 0.226808i
\(341\) −18145.5 −0.156049
\(342\) −78532.4 69528.4i −0.671424 0.594442i
\(343\) 414560.i 3.52370i
\(344\) 8038.31 + 10537.0i 0.0679278 + 0.0890433i
\(345\) 40322.6 21455.2i 0.338774 0.180258i
\(346\) 209710. + 27809.2i 1.75173 + 0.232293i
\(347\) 90819.3 52434.6i 0.754257 0.435470i −0.0729731 0.997334i \(-0.523249\pi\)
0.827230 + 0.561864i \(0.189915\pi\)
\(348\) −166497. 51191.3i −1.37482 0.422705i
\(349\) −43672.0 + 75642.1i −0.358552 + 0.621030i −0.987719 0.156240i \(-0.950063\pi\)
0.629167 + 0.777270i \(0.283396\pi\)
\(350\) 40748.1 + 31327.9i 0.332637 + 0.255738i
\(351\) 37501.5 + 84029.2i 0.304393 + 0.682050i
\(352\) −22188.6 3027.20i −0.179079 0.0244318i
\(353\) 24354.3 42182.9i 0.195446 0.338522i −0.751601 0.659618i \(-0.770718\pi\)
0.947047 + 0.321096i \(0.104051\pi\)
\(354\) 49778.2 18574.8i 0.397221 0.148224i
\(355\) −82640.1 + 47712.3i −0.655744 + 0.378594i
\(356\) 17567.5 17501.6i 0.138615 0.138095i
\(357\) −215606. + 114721.i −1.69170 + 0.900135i
\(358\) 121411. 50156.6i 0.947310 0.391347i
\(359\) 109409.i 0.848911i −0.905449 0.424456i \(-0.860465\pi\)
0.905449 0.424456i \(-0.139535\pi\)
\(360\) −95888.4 + 63160.7i −0.739879 + 0.487351i
\(361\) 25520.5 0.195828
\(362\) −34758.4 84137.4i −0.265242 0.642055i
\(363\) −127388. 4410.82i −0.966754 0.0334739i
\(364\) 136261. + 136774.i 1.02842 + 1.03229i
\(365\) 33342.7 + 57751.3i 0.250274 + 0.433487i
\(366\) 42908.3 51983.7i 0.320316 0.388066i
\(367\) 1112.82 + 642.487i 0.00826215 + 0.00477015i 0.504125 0.863630i \(-0.331815\pi\)
−0.495863 + 0.868401i \(0.665148\pi\)
\(368\) −29137.8 50908.6i −0.215160 0.375920i
\(369\) −14881.5 + 22090.9i −0.109293 + 0.162241i
\(370\) 17207.1 22381.2i 0.125691 0.163486i
\(371\) −234645. 135473.i −1.70476 0.984246i
\(372\) 81347.3 + 87511.4i 0.587837 + 0.632381i
\(373\) 36777.2 + 63699.9i 0.264339 + 0.457848i 0.967390 0.253291i \(-0.0815130\pi\)
−0.703052 + 0.711139i \(0.748180\pi\)
\(374\) −3264.30 + 24616.2i −0.0233371 + 0.175986i
\(375\) 80183.2 128404.i 0.570192 0.913098i
\(376\) 47620.7 + 62423.7i 0.336837 + 0.441544i
\(377\) 152687. 1.07428
\(378\) 65088.9 271052.i 0.455537 1.89701i
\(379\) 139070.i 0.968176i −0.875019 0.484088i \(-0.839152\pi\)
0.875019 0.484088i \(-0.160848\pi\)
\(380\) −29901.0 + 110760.i −0.207071 + 0.767035i
\(381\) 62066.3 + 38757.9i 0.427569 + 0.266999i
\(382\) −30236.8 + 228017.i −0.207209 + 1.56258i
\(383\) −90000.3 + 51961.7i −0.613545 + 0.354230i −0.774352 0.632756i \(-0.781924\pi\)
0.160807 + 0.986986i \(0.448590\pi\)
\(384\) 84873.1 + 120581.i 0.575582 + 0.817744i
\(385\) 23152.6 40101.5i 0.156199 0.270545i
\(386\) −109569. + 142515.i −0.735380 + 0.956505i
\(387\) −1160.17 + 16733.2i −0.00774638 + 0.111727i
\(388\) −24003.7 90260.7i −0.159447 0.599563i
\(389\) 50040.9 86673.4i 0.330694 0.572778i −0.651954 0.758258i \(-0.726051\pi\)
0.982648 + 0.185480i \(0.0593839\pi\)
\(390\) 64069.6 77620.9i 0.421234 0.510328i
\(391\) −56328.2 + 32521.1i −0.368444 + 0.212721i
\(392\) −55079.4 427673.i −0.358441 2.78317i
\(393\) −5068.84 + 146393.i −0.0328189 + 0.947838i
\(394\) −67985.7 164569.i −0.437951 1.06012i
\(395\) 159295.i 1.02096i
\(396\) −18566.9 21414.3i −0.118399 0.136557i
\(397\) 164388. 1.04301 0.521507 0.853247i \(-0.325370\pi\)
0.521507 + 0.853247i \(0.325370\pi\)
\(398\) 70489.3 29120.1i 0.444997 0.183835i
\(399\) −130832. 245884.i −0.821804 1.54449i
\(400\) −29735.8 17317.2i −0.185849 0.108232i
\(401\) 78226.6 + 135492.i 0.486481 + 0.842609i 0.999879 0.0155412i \(-0.00494711\pi\)
−0.513399 + 0.858150i \(0.671614\pi\)
\(402\) 8360.27 3119.65i 0.0517331 0.0193043i
\(403\) −90700.6 52366.0i −0.558470 0.322433i
\(404\) 22612.3 + 85028.6i 0.138542 + 0.520958i
\(405\) −143930. 20054.6i −0.877487 0.122266i
\(406\) −366699. 281926.i −2.22463 1.71034i
\(407\) 6035.02 + 3484.32i 0.0364325 + 0.0210343i
\(408\) 133352. 94612.7i 0.801085 0.568367i
\(409\) −135351. 234435.i −0.809125 1.40145i −0.913471 0.406904i \(-0.866608\pi\)
0.104346 0.994541i \(-0.466725\pi\)
\(410\) 28881.0 + 3829.83i 0.171808 + 0.0227831i
\(411\) 104264. + 195953.i 0.617238 + 1.16003i
\(412\) 74783.7 277015.i 0.440568 1.63196i
\(413\) 141086. 0.827149
\(414\) 14826.0 72742.8i 0.0865017 0.424414i
\(415\) 73589.9i 0.427290i
\(416\) −102174. 79165.3i −0.590408 0.457455i
\(417\) −6141.59 + 177374.i −0.0353190 + 1.02004i
\(418\) −28073.1 3722.71i −0.160671 0.0213062i
\(419\) −49366.2 + 28501.6i −0.281191 + 0.162346i −0.633963 0.773364i \(-0.718573\pi\)
0.352771 + 0.935710i \(0.385239\pi\)
\(420\) −297194. + 68117.6i −1.68477 + 0.386154i
\(421\) −116812. + 202325.i −0.659059 + 1.14152i 0.321801 + 0.946807i \(0.395712\pi\)
−0.980860 + 0.194716i \(0.937621\pi\)
\(422\) −3021.82 2323.24i −0.0169685 0.0130457i
\(423\) −6873.08 + 99131.3i −0.0384123 + 0.554026i
\(424\) 167390. + 69888.0i 0.931101 + 0.388750i
\(425\) −19078.1 + 33044.3i −0.105623 + 0.182944i
\(426\) −25697.0 + 152954.i −0.141600 + 0.842836i
\(427\) 155010. 89495.0i 0.850166 0.490843i
\(428\) 98415.6 + 98785.8i 0.537250 + 0.539271i
\(429\) 21072.8 + 13159.1i 0.114500 + 0.0715008i
\(430\) 16956.5 7004.97i 0.0917063 0.0378852i
\(431\) 333180.i 1.79360i −0.442439 0.896798i \(-0.645887\pi\)
0.442439 0.896798i \(-0.354113\pi\)
\(432\) −20039.9 + 185545.i −0.107381 + 0.994218i
\(433\) −215343. −1.14856 −0.574282 0.818657i \(-0.694719\pi\)
−0.574282 + 0.818657i \(0.694719\pi\)
\(434\) 121140. + 293237.i 0.643145 + 1.55682i
\(435\) −127720. + 204530.i −0.674966 + 1.08088i
\(436\) 137857. 137340.i 0.725194 0.722477i
\(437\) −37088.1 64238.5i −0.194210 0.336382i
\(438\) 106889. + 17957.8i 0.557166 + 0.0936061i
\(439\) −27053.2 15619.2i −0.140375 0.0810455i 0.428168 0.903699i \(-0.359159\pi\)
−0.568543 + 0.822654i \(0.692493\pi\)
\(440\) −11944.0 + 28607.3i −0.0616944 + 0.147765i
\(441\) 304909. 452623.i 1.56781 2.32734i
\(442\) −87356.3 + 113624.i −0.447146 + 0.581601i
\(443\) 184829. + 106711.i 0.941809 + 0.543754i 0.890527 0.454930i \(-0.150336\pi\)
0.0512822 + 0.998684i \(0.483669\pi\)
\(444\) −10251.3 44725.8i −0.0520009 0.226878i
\(445\) −17163.9 29728.8i −0.0866755 0.150126i
\(446\) −22790.5 + 171864.i −0.114574 + 0.864004i
\(447\) −268808. 9307.48i −1.34533 0.0465819i
\(448\) 99211.6 + 378784.i 0.494318 + 1.88727i
\(449\) −393053. −1.94966 −0.974828 0.222956i \(-0.928429\pi\)
−0.974828 + 0.222956i \(0.928429\pi\)
\(450\) −13804.6 41305.3i −0.0681709 0.203977i
\(451\) 7191.43i 0.0353559i
\(452\) −316253. 85376.4i −1.54795 0.417889i
\(453\) 47377.7 25209.1i 0.230876 0.122846i
\(454\) −3158.91 + 23821.5i −0.0153259 + 0.115573i
\(455\) 231457. 133632.i 1.11802 0.645487i
\(456\) 107899. + 152079.i 0.518907 + 0.731374i
\(457\) 36178.7 62663.4i 0.173229 0.300042i −0.766318 0.642462i \(-0.777913\pi\)
0.939547 + 0.342420i \(0.111247\pi\)
\(458\) −9938.23 + 12926.6i −0.0473782 + 0.0616246i
\(459\) 205823. + 21448.5i 0.976942 + 0.101805i
\(460\) −78473.1 + 20869.0i −0.370856 + 0.0986246i
\(461\) −29095.9 + 50395.5i −0.136908 + 0.237132i −0.926325 0.376726i \(-0.877050\pi\)
0.789417 + 0.613858i \(0.210383\pi\)
\(462\) −26312.0 70512.9i −0.123274 0.330358i
\(463\) 64721.6 37367.0i 0.301917 0.174312i −0.341387 0.939923i \(-0.610897\pi\)
0.643304 + 0.765611i \(0.277563\pi\)
\(464\) 267598. + 155840.i 1.24293 + 0.723842i
\(465\) 146016. 77693.4i 0.675297 0.359318i
\(466\) −57161.8 138368.i −0.263229 0.637183i
\(467\) 264366.i 1.21219i 0.795392 + 0.606096i \(0.207265\pi\)
−0.795392 + 0.606096i \(0.792735\pi\)
\(468\) −31007.3 160622.i −0.141570 0.733352i
\(469\) 23695.5 0.107726
\(470\) 100454. 41499.0i 0.454749 0.187863i
\(471\) 314694. + 10896.3i 1.41856 + 0.0491176i
\(472\) −93681.2 + 12065.1i −0.420502 + 0.0541559i
\(473\) 2264.33 + 3921.94i 0.0101209 + 0.0175299i
\(474\) 199675. + 164815.i 0.888724 + 0.733568i
\(475\) −37684.8 21757.3i −0.167024 0.0964314i
\(476\) 419597. 111587.i 1.85191 0.492492i
\(477\) 100761. + 206282.i 0.442851 + 0.906620i
\(478\) 81334.9 + 62531.9i 0.355976 + 0.273682i
\(479\) 242211. + 139840.i 1.05566 + 0.609483i 0.924228 0.381842i \(-0.124710\pi\)
0.131429 + 0.991326i \(0.458044\pi\)
\(480\) 191512. 70644.9i 0.831215 0.306618i
\(481\) 20110.7 + 34832.8i 0.0869236 + 0.150556i
\(482\) −303748. 40279.2i −1.30743 0.173375i
\(483\) 104417. 167211.i 0.447584 0.716756i
\(484\) 218772. + 59060.2i 0.933901 + 0.252118i
\(485\) −129293. −0.549655
\(486\) −174056. + 159665.i −0.736914 + 0.675987i
\(487\) 62506.3i 0.263552i −0.991280 0.131776i \(-0.957932\pi\)
0.991280 0.131776i \(-0.0420679\pi\)
\(488\) −95273.4 + 72680.5i −0.400066 + 0.305196i
\(489\) −110766. 69168.5i −0.463220 0.289262i
\(490\) −591746. 78470.0i −2.46458 0.326822i
\(491\) −291742. + 168437.i −1.21014 + 0.698674i −0.962790 0.270252i \(-0.912893\pi\)
−0.247350 + 0.968926i \(0.579560\pi\)
\(492\) 34682.5 32239.5i 0.143278 0.133186i
\(493\) 171688. 297372.i 0.706391 1.22351i
\(494\) −129580. 99624.0i −0.530989 0.408235i
\(495\) −35254.2 + 17220.4i −0.143880 + 0.0702802i
\(496\) −105514. 184350.i −0.428889 0.749342i
\(497\) −205927. + 356676.i −0.833682 + 1.44398i
\(498\) 92244.5 + 76140.2i 0.371947 + 0.307012i
\(499\) 276635. 159715.i 1.11098 0.641424i 0.171896 0.985115i \(-0.445011\pi\)
0.939083 + 0.343691i \(0.111677\pi\)
\(500\) −190658. + 189944.i −0.762633 + 0.759774i
\(501\) 13895.7 401319.i 0.0553611 1.59888i
\(502\) −246375. + 101781.i −0.977662 + 0.403886i
\(503\) 28287.7i 0.111805i 0.998436 + 0.0559025i \(0.0178036\pi\)
−0.998436 + 0.0559025i \(0.982196\pi\)
\(504\) −222108. + 443009.i −0.874387 + 1.74402i
\(505\) 121798. 0.477592
\(506\) −7653.00 18525.1i −0.0298903 0.0723536i
\(507\) −53387.4 100336.i −0.207693 0.390336i
\(508\) −91812.3 92157.7i −0.355774 0.357112i
\(509\) −47278.6 81888.9i −0.182486 0.316074i 0.760241 0.649641i \(-0.225081\pi\)
−0.942726 + 0.333567i \(0.891748\pi\)
\(510\) −79131.2 212062.i −0.304234 0.815309i
\(511\) 249255. + 143908.i 0.954559 + 0.551115i
\(512\) −98268.5 243028.i −0.374865 0.927080i
\(513\) −24460.5 + 234727.i −0.0929462 + 0.891927i
\(514\) 144883. 188449.i 0.548392 0.713291i
\(515\) −343990. 198603.i −1.29698 0.748809i
\(516\) 8763.44 28502.6i 0.0329136 0.107050i
\(517\) 13414.4 + 23234.4i 0.0501869 + 0.0869263i
\(518\) 16017.5 120789.i 0.0596948 0.450161i
\(519\) −223583. 420199.i −0.830049 1.55998i
\(520\) −142260. + 108525.i −0.526110 + 0.401349i
\(521\) 369932. 1.36285 0.681423 0.731890i \(-0.261362\pi\)
0.681423 + 0.731890i \(0.261362\pi\)
\(522\) 124230. + 371714.i 0.455917 + 1.36417i
\(523\) 65267.4i 0.238612i 0.992858 + 0.119306i \(0.0380670\pi\)
−0.992858 + 0.119306i \(0.961933\pi\)
\(524\) 67871.0 251409.i 0.247185 0.915627i
\(525\) 4001.90 115578.i 0.0145193 0.419331i
\(526\) 13219.5 99688.5i 0.0477796 0.360308i
\(527\) −203975. + 117765.i −0.734440 + 0.424029i
\(528\) 23501.1 + 44570.5i 0.0842987 + 0.159875i
\(529\) −113670. + 196882.i −0.406195 + 0.703551i
\(530\) 153051. 199073.i 0.544859 0.708696i
\(531\) −99146.4 66789.9i −0.351632 0.236876i
\(532\) 127257. + 478523.i 0.449634 + 1.69075i
\(533\) −20753.7 + 35946.4i −0.0730534 + 0.126532i
\(534\) −55023.5 9244.17i −0.192959 0.0324180i
\(535\) 167172. 96516.6i 0.584057 0.337205i
\(536\) −15733.8 + 2026.33i −0.0547651 + 0.00705312i
\(537\) −250702. 156553.i −0.869378 0.542891i
\(538\) 3899.80 + 9440.01i 0.0134734 + 0.0326143i
\(539\) 147346.i 0.507179i
\(540\) 241096. + 92822.4i 0.826804 + 0.318321i
\(541\) 176002. 0.601343 0.300671 0.953728i \(-0.402789\pi\)
0.300671 + 0.953728i \(0.402789\pi\)
\(542\) −17091.4 + 7060.70i −0.0581807 + 0.0240353i
\(543\) −108491. + 173735.i −0.367953 + 0.589235i
\(544\) −269070. + 109976.i −0.909218 + 0.371620i
\(545\) −134690. 233290.i −0.453463 0.785421i
\(546\) 71971.7 428393.i 0.241422 1.43700i
\(547\) −236509. 136549.i −0.790448 0.456365i 0.0496725 0.998766i \(-0.484182\pi\)
−0.840120 + 0.542400i \(0.817516\pi\)
\(548\) −101416. 381351.i −0.337710 1.26988i
\(549\) −151298. 10490.0i −0.501982 0.0348040i
\(550\) −9321.85 7166.82i −0.0308160 0.0236920i
\(551\) 339133. + 195798.i 1.11703 + 0.644920i
\(552\) −55033.4 + 119958.i −0.180613 + 0.393686i
\(553\) 343760. + 595409.i 1.12410 + 1.94700i
\(554\) 39075.4 + 5181.70i 0.127316 + 0.0168831i
\(555\) −63482.2 2198.07i −0.206094 0.00713601i
\(556\) 82235.0 304616.i 0.266016 0.985380i
\(557\) −454335. −1.46442 −0.732211 0.681078i \(-0.761511\pi\)
−0.732211 + 0.681078i \(0.761511\pi\)
\(558\) 53688.0 263416.i 0.172428 0.846006i
\(559\) 26138.5i 0.0836482i
\(560\) 542042. + 2035.30i 1.72845 + 0.00649012i
\(561\) 49323.7 26244.6i 0.156722 0.0833899i
\(562\) 191988. + 25459.1i 0.607857 + 0.0806065i
\(563\) −27753.2 + 16023.3i −0.0875582 + 0.0505518i −0.543140 0.839642i \(-0.682765\pi\)
0.455582 + 0.890194i \(0.349431\pi\)
\(564\) 51916.5 168855.i 0.163210 0.530832i
\(565\) −226734. + 392714.i −0.710263 + 1.23021i
\(566\) 419318. + 322380.i 1.30891 + 1.00632i
\(567\) −581256. + 235642.i −1.80801 + 0.732971i
\(568\) 106234. 254443.i 0.329282 0.788667i
\(569\) 138564. 240000.i 0.427982 0.741287i −0.568712 0.822537i \(-0.692558\pi\)
0.996694 + 0.0812502i \(0.0258913\pi\)
\(570\) 241842. 90243.9i 0.744359 0.277759i
\(571\) −556449. + 321266.i −1.70668 + 0.985355i −0.768085 + 0.640348i \(0.778790\pi\)
−0.938600 + 0.345007i \(0.887877\pi\)
\(572\) −31172.2 31289.4i −0.0952741 0.0956325i
\(573\) 456880. 243101.i 1.39153 0.740418i
\(574\) 116215. 48010.3i 0.352728 0.145717i
\(575\) 30799.0i 0.0931540i
\(576\) 109596. 313152.i 0.330331 0.943865i
\(577\) 451002. 1.35465 0.677324 0.735685i \(-0.263140\pi\)
0.677324 + 0.735685i \(0.263140\pi\)
\(578\) −4492.68 10875.1i −0.0134477 0.0325521i
\(579\) 404232. + 13996.5i 1.20580 + 0.0417507i
\(580\) 303691. 302553.i 0.902768 0.899385i
\(581\) 158808. + 275063.i 0.470456 + 0.814854i
\(582\) −133773. + 162067.i −0.394933 + 0.478464i
\(583\) 53679.3 + 30991.8i 0.157932 + 0.0911820i
\(584\) −177812. 74239.5i −0.521357 0.217675i
\(585\) −225915. 15663.4i −0.660135 0.0457692i
\(586\) −218250. + 283876.i −0.635563 + 0.826674i
\(587\) 327761. + 189233.i 0.951221 + 0.549188i 0.893460 0.449143i \(-0.148271\pi\)
0.0577610 + 0.998330i \(0.481604\pi\)
\(588\) −710614. + 660559.i −2.05532 + 1.91054i
\(589\) −134303. 232620.i −0.387129 0.670528i
\(590\) −17188.7 + 129621.i −0.0493787 + 0.372367i
\(591\) −212202. + 339818.i −0.607541 + 0.972908i
\(592\) −306.300 + 81573.7i −0.000873983 + 0.232759i
\(593\) 137966. 0.392339 0.196170 0.980570i \(-0.437150\pi\)
0.196170 + 0.980570i \(0.437150\pi\)
\(594\) −14890.3 + 62008.0i −0.0422016 + 0.175742i
\(595\) 601046.i 1.69775i
\(596\) 461641. + 124626.i 1.29961 + 0.350845i
\(597\) −145553. 90892.1i −0.408389 0.255022i
\(598\) 15207.9 114684.i 0.0425273 0.320701i
\(599\) 180870. 104426.i 0.504096 0.291040i −0.226307 0.974056i \(-0.572665\pi\)
0.730404 + 0.683016i \(0.239332\pi\)
\(600\) 7226.49 + 77086.2i 0.0200736 + 0.214128i
\(601\) −180004. + 311775.i −0.498348 + 0.863163i −0.999998 0.00190701i \(-0.999393\pi\)
0.501651 + 0.865070i \(0.332726\pi\)
\(602\) 48262.9 62775.3i 0.133174 0.173219i
\(603\) −16651.7 11217.4i −0.0457956 0.0308501i
\(604\) −92203.3 + 24520.4i −0.252739 + 0.0672130i
\(605\) 156846. 271665.i 0.428512 0.742204i
\(606\) 126019. 152673.i 0.343155 0.415735i
\(607\) −279709. + 161490.i −0.759152 + 0.438297i −0.828991 0.559262i \(-0.811085\pi\)
0.0698392 + 0.997558i \(0.477751\pi\)
\(608\) −125420. 306857.i −0.339281 0.830096i
\(609\) −36013.8 + 1.04011e6i −0.0971034 + 2.80443i
\(610\) 63337.3 + 153317.i 0.170216 + 0.412031i
\(611\) 154850.i 0.414791i
\(612\) −347692. 120220.i −0.928306 0.320978i
\(613\) −392554. −1.04467 −0.522334 0.852741i \(-0.674939\pi\)
−0.522334 + 0.852741i \(0.674939\pi\)
\(614\) 231899. 95800.6i 0.615122 0.254116i
\(615\) −30791.4 57869.0i −0.0814103 0.153002i
\(616\) 17090.7 + 132703.i 0.0450399 + 0.349720i
\(617\) −192102. 332730.i −0.504616 0.874020i −0.999986 0.00533786i \(-0.998301\pi\)
0.495370 0.868682i \(-0.335032\pi\)
\(618\) −604859. + 225704.i −1.58371 + 0.590966i
\(619\) 602573. + 347896.i 1.57264 + 0.907962i 0.995844 + 0.0910712i \(0.0290291\pi\)
0.576792 + 0.816891i \(0.304304\pi\)
\(620\) −284166. + 75570.6i −0.739247 + 0.196594i
\(621\) −152535. + 68074.9i −0.395536 + 0.176524i
\(622\) 389360. + 299347.i 1.00640 + 0.773739i
\(623\) −128310. 74079.7i −0.330586 0.190864i
\(624\) −11154.9 + 290608.i −0.0286482 + 0.746342i
\(625\) 144273. + 249889.i 0.369339 + 0.639715i
\(626\) 192670. + 25549.5i 0.491660 + 0.0651979i
\(627\) 29930.2 + 56250.4i 0.0761332 + 0.143084i
\(628\) −540445. 145900.i −1.37035 0.369943i
\(629\) 90453.5 0.228625
\(630\) 513645. + 454753.i 1.29414 + 1.14576i
\(631\) 230753.i 0.579546i −0.957095 0.289773i \(-0.906420\pi\)
0.957095 0.289773i \(-0.0935798\pi\)
\(632\) −279173. 365955.i −0.698940 0.916207i
\(633\) −296.775 + 8571.13i −0.000740662 + 0.0213910i
\(634\) 436711. + 57911.2i 1.08646 + 0.144073i
\(635\) −155955. + 90040.8i −0.386770 + 0.223302i
\(636\) −91181.3 397820.i −0.225419 0.983495i
\(637\) 425225. 736511.i 1.04795 1.81510i
\(638\) 83889.0 + 64495.5i 0.206093 + 0.158449i
\(639\) 313562. 153164.i 0.767931 0.375107i
\(640\) −360090. + 45001.6i −0.879126 + 0.109867i
\(641\) −259471. + 449416.i −0.631498 + 1.09379i 0.355747 + 0.934582i \(0.384226\pi\)
−0.987246 + 0.159205i \(0.949107\pi\)
\(642\) 51982.1 309410.i 0.126120 0.750696i
\(643\) 195039. 112606.i 0.471738 0.272358i −0.245229 0.969465i \(-0.578863\pi\)
0.716967 + 0.697107i \(0.245530\pi\)
\(644\) −248280. + 247349.i −0.598645 + 0.596402i
\(645\) −35013.5 21864.5i −0.0841620 0.0525557i
\(646\) −339733. + 140348.i −0.814090 + 0.336312i
\(647\) 153505.i 0.366703i 0.983047 + 0.183352i \(0.0586947\pi\)
−0.983047 + 0.183352i \(0.941305\pi\)
\(648\) 365803. 206173.i 0.871159 0.491000i
\(649\) −32276.0 −0.0766284
\(650\) −25912.7 62725.3i −0.0613318 0.148462i
\(651\) 378113. 605505.i 0.892194 1.42875i
\(652\) 163851. + 164468.i 0.385438 + 0.386888i
\(653\) −36120.4 62562.3i −0.0847082 0.146719i 0.820559 0.571562i \(-0.193662\pi\)
−0.905267 + 0.424843i \(0.860329\pi\)
\(654\) −431784. 72541.5i −1.00951 0.169602i
\(655\) −312193. 180245.i −0.727681 0.420127i
\(656\) −73061.5 + 41817.1i −0.169778 + 0.0971731i
\(657\) −107035. 219126.i −0.247968 0.507649i
\(658\) 285920. 371895.i 0.660378 0.858950i
\(659\) −203157. 117293.i −0.467802 0.270086i 0.247517 0.968883i \(-0.420385\pi\)
−0.715319 + 0.698798i \(0.753719\pi\)
\(660\) 67988.5 15583.1i 0.156080 0.0357739i
\(661\) −298973. 517837.i −0.684274 1.18520i −0.973665 0.227986i \(-0.926786\pi\)
0.289391 0.957211i \(-0.406547\pi\)
\(662\) 97026.0 731678.i 0.221397 1.66957i
\(663\) 322284. + 11159.1i 0.733182 + 0.0253864i
\(664\) −128971. 169061.i −0.292519 0.383450i
\(665\) 685452. 1.55001
\(666\) −68437.4 + 77300.2i −0.154293 + 0.174274i
\(667\) 277166.i 0.623001i
\(668\) −186061. + 689211.i −0.416968 + 1.54454i
\(669\) 344366. 183233.i 0.769428 0.409404i
\(670\) −2886.86 + 21769.9i −0.00643096 + 0.0484961i
\(671\) −35461.3 + 20473.6i −0.0787607 + 0.0454725i
\(672\) 563377. 677339.i 1.24756 1.49992i
\(673\) 375852. 650996.i 0.829826 1.43730i −0.0683477 0.997662i \(-0.521773\pi\)
0.898174 0.439640i \(-0.144894\pi\)
\(674\) 159998. 208109.i 0.352204 0.458111i
\(675\) −57526.8 + 79326.6i −0.126259 + 0.174105i
\(676\) 51928.7 + 195266.i 0.113636 + 0.427301i
\(677\) 42323.8 73307.0i 0.0923437 0.159944i −0.816153 0.577836i \(-0.803897\pi\)
0.908497 + 0.417892i \(0.137231\pi\)
\(678\) 257674. + 690533.i 0.560545 + 1.50219i
\(679\) −483267. + 279014.i −1.04821 + 0.605183i
\(680\) 51398.8 + 399095.i 0.111157 + 0.863094i
\(681\) 47731.4 25397.3i 0.102922 0.0547638i
\(682\) −27713.0 67083.2i −0.0595820 0.144226i
\(683\) 635506.i 1.36232i −0.732136 0.681159i \(-0.761476\pi\)
0.732136 0.681159i \(-0.238524\pi\)
\(684\) 137103. 396519.i 0.293046 0.847524i
\(685\) −546260. −1.16418
\(686\) −1.53261e6 + 633142.i −3.25674 + 1.34540i
\(687\) 36665.2 + 1269.53i 0.0776855 + 0.00268986i
\(688\) −26678.3 + 45810.1i −0.0563614 + 0.0967797i
\(689\) 178878. + 309825.i 0.376806 + 0.652647i
\(690\) 140902. + 116303.i 0.295951 + 0.244283i
\(691\) 384843. + 222189.i 0.805986 + 0.465336i 0.845560 0.533881i \(-0.179267\pi\)
−0.0395741 + 0.999217i \(0.512600\pi\)
\(692\) 217474. + 817762.i 0.454145 + 1.70771i
\(693\) −94610.6 + 140445.i −0.197003 + 0.292442i
\(694\) 332553. + 255673.i 0.690466 + 0.530844i
\(695\) −378265. 218391.i −0.783116 0.452132i
\(696\) −65032.5 693713.i −0.134249 1.43206i
\(697\) 46672.6 + 80839.4i 0.0960720 + 0.166402i
\(698\) −346344. 45927.8i −0.710880 0.0942682i
\(699\) −178418. + 285716.i −0.365161 + 0.584764i
\(700\) −53584.8 + 198490.i −0.109357 + 0.405081i
\(701\) −374624. −0.762359 −0.381179 0.924501i \(-0.624482\pi\)
−0.381179 + 0.924501i \(0.624482\pi\)
\(702\) −253378. + 266976.i −0.514155 + 0.541749i
\(703\) 103156.i 0.208730i
\(704\) −22696.4 86653.5i −0.0457944 0.174840i
\(705\) −207428. 129530.i −0.417338 0.260610i
\(706\) 193144. + 25612.3i 0.387499 + 0.0513854i
\(707\) 455254. 262841.i 0.910783 0.525841i
\(708\) 144695. + 155659.i 0.288660 + 0.310533i
\(709\) −92815.5 + 160761.i −0.184641 + 0.319808i −0.943456 0.331499i \(-0.892446\pi\)
0.758814 + 0.651307i \(0.225779\pi\)
\(710\) −302603. 232647.i −0.600284 0.461510i
\(711\) 40293.0 581151.i 0.0797059 1.14961i
\(712\) 91532.8 + 38216.5i 0.180558 + 0.0753860i
\(713\) 95057.9 164645.i 0.186986 0.323869i
\(714\) −753407. 621875.i −1.47786 1.21985i
\(715\) −52950.0 + 30570.7i −0.103575 + 0.0597989i
\(716\) 370854. + 372249.i 0.723396 + 0.726118i
\(717\) 7987.96 230699.i 0.0155381 0.448753i
\(718\) 404478. 167096.i 0.784596 0.324128i
\(719\) 651163.i 1.25960i −0.776759 0.629799i \(-0.783137\pi\)
0.776759 0.629799i \(-0.216863\pi\)
\(720\) −379949. 258032.i −0.732927 0.497746i
\(721\) −1.71435e6 −3.29783
\(722\) 38976.5 + 94348.1i 0.0747702 + 0.180992i
\(723\) 323840. + 608621.i 0.619519 + 1.16432i
\(724\) 257967. 257000.i 0.492138 0.490294i
\(725\) 81298.3 + 140813.i 0.154670 + 0.267896i
\(726\) −178249. 477685.i −0.338184 0.906292i
\(727\) 207917. + 120041.i 0.393389 + 0.227123i 0.683627 0.729831i \(-0.260401\pi\)
−0.290239 + 0.956954i \(0.593735\pi\)
\(728\) −297539. + 712640.i −0.561412 + 1.34465i
\(729\) 520023. + 109571.i 0.978515 + 0.206178i
\(730\) −162581. + 211468.i −0.305086 + 0.396825i
\(731\) 50907.1 + 29391.2i 0.0952673 + 0.0550026i
\(732\) 257714. + 79237.0i 0.480967 + 0.147879i
\(733\) 27840.0 + 48220.4i 0.0518158 + 0.0897475i 0.890770 0.454455i \(-0.150166\pi\)
−0.838954 + 0.544202i \(0.816832\pi\)
\(734\) −675.675 + 5095.29i −0.00125414 + 0.00945751i
\(735\) 630889. + 1.18569e6i 1.16783 + 2.19480i
\(736\) 143706. 185472.i 0.265288 0.342391i
\(737\) −5420.76 −0.00997988
\(738\) −104397. 21277.6i −0.191679 0.0390670i
\(739\) 327859.i 0.600341i 0.953886 + 0.300170i \(0.0970435\pi\)
−0.953886 + 0.300170i \(0.902957\pi\)
\(740\) 109022. + 29431.8i 0.199091 + 0.0537470i
\(741\) −12726.2 + 367543.i −0.0231772 + 0.669379i
\(742\) 142470. 1.07438e6i 0.258772 1.95141i
\(743\) −11150.8 + 6437.91i −0.0201989 + 0.0116618i −0.510065 0.860136i \(-0.670379\pi\)
0.489867 + 0.871797i \(0.337045\pi\)
\(744\) −199287. + 434390.i −0.360025 + 0.784755i
\(745\) 330968. 573254.i 0.596312 1.03284i
\(746\) −179327. + 233250.i −0.322232 + 0.419126i
\(747\) 18614.3 268476.i 0.0333584 0.481132i
\(748\) −95990.4 + 25527.5i −0.171563 + 0.0456252i
\(749\) 416567. 721516.i 0.742543 1.28612i
\(750\) 597166. + 100326.i 1.06163 + 0.178358i
\(751\) 460430. 265829.i 0.816363 0.471328i −0.0327975 0.999462i \(-0.510442\pi\)
0.849161 + 0.528134i \(0.177108\pi\)
\(752\) −158048. + 271389.i −0.279482 + 0.479906i
\(753\) 508739. + 317687.i 0.897233 + 0.560285i
\(754\) 233193. + 564476.i 0.410179 + 0.992894i
\(755\) 132075.i 0.231701i
\(756\) 1.10148e6 173338.i 1.92722 0.303284i
\(757\) 614542. 1.07241 0.536204 0.844089i \(-0.319858\pi\)
0.536204 + 0.844089i \(0.319858\pi\)
\(758\) 514134. 212396.i 0.894825 0.369665i
\(759\) −23887.1 + 38252.6i −0.0414649 + 0.0664014i
\(760\) −455141. + 58616.9i −0.787986 + 0.101484i
\(761\) 410349. + 710745.i 0.708571 + 1.22728i 0.965387 + 0.260821i \(0.0839933\pi\)
−0.256816 + 0.966460i \(0.582673\pi\)
\(762\) −48494.3 + 288650.i −0.0835182 + 0.497120i
\(763\) −1.00688e6 581324.i −1.72954