Properties

Label 546.2.u.a.185.29
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.29
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(0.0864870 - 1.72989i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.886718 + 1.53584i) q^{5} +(0.939845 - 1.45489i) q^{6} +(2.61154 + 0.424103i) q^{7} +1.00000i q^{8} +(-2.98504 - 0.299226i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(0.0864870 - 1.72989i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.886718 + 1.53584i) q^{5} +(0.939845 - 1.45489i) q^{6} +(2.61154 + 0.424103i) q^{7} +1.00000i q^{8} +(-2.98504 - 0.299226i) q^{9} +1.77344i q^{10} +0.893720i q^{11} +(1.54137 - 0.790045i) q^{12} +(1.84344 - 3.09866i) q^{13} +(2.04961 + 1.67305i) q^{14} +(2.73352 - 1.40109i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.74970 + 6.49467i) q^{17} +(-2.43551 - 1.75166i) q^{18} +0.805715i q^{19} +(-0.886718 + 1.53584i) q^{20} +(0.959516 - 4.48100i) q^{21} +(-0.446860 + 0.773984i) q^{22} +(-4.72239 - 2.72647i) q^{23} +(1.72989 + 0.0864870i) q^{24} +(0.927464 - 1.60641i) q^{25} +(3.14580 - 1.76180i) q^{26} +(-0.775795 + 5.13791i) q^{27} +(0.938485 + 2.47371i) q^{28} +(7.62822 - 4.40416i) q^{29} +(3.06785 + 0.153379i) q^{30} +(-8.20495 - 4.73713i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(1.54604 + 0.0772952i) q^{33} +7.49940i q^{34} +(1.66434 + 4.38697i) q^{35} +(-1.23338 - 2.73473i) q^{36} +(-1.84733 + 3.19966i) q^{37} +(-0.402858 + 0.697770i) q^{38} +(-5.20091 - 3.45695i) q^{39} +(-1.53584 + 0.886718i) q^{40} +(-3.47099 - 6.01193i) q^{41} +(3.07146 - 3.40090i) q^{42} +(1.93884 - 3.35816i) q^{43} +(-0.773984 + 0.446860i) q^{44} +(-2.18732 - 4.84987i) q^{45} +(-2.72647 - 4.72239i) q^{46} +(4.19126 + 7.25948i) q^{47} +(1.45489 + 0.939845i) q^{48} +(6.64027 + 2.21512i) q^{49} +(1.60641 - 0.927464i) q^{50} +(11.5594 - 5.92486i) q^{51} +(3.60524 + 0.0471388i) q^{52} +(-2.72420 - 1.57281i) q^{53} +(-3.24081 + 4.06166i) q^{54} +(-1.37261 + 0.792477i) q^{55} +(-0.424103 + 2.61154i) q^{56} +(1.39380 + 0.0696839i) q^{57} +8.80832 q^{58} +(1.67450 + 2.90031i) q^{59} +(2.58014 + 1.66675i) q^{60} +8.21094i q^{61} +(-4.73713 - 8.20495i) q^{62} +(-7.66865 - 2.04741i) q^{63} -1.00000 q^{64} +(6.39366 + 0.0835977i) q^{65} +(1.30026 + 0.839958i) q^{66} -7.98740 q^{67} +(-3.74970 + 6.49467i) q^{68} +(-5.12492 + 7.93341i) q^{69} +(-0.752120 + 4.63139i) q^{70} +(-1.97967 - 1.14296i) q^{71} +(0.299226 - 2.98504i) q^{72} +(-7.54968 - 4.35881i) q^{73} +(-3.19966 + 1.84733i) q^{74} +(-2.69871 - 1.74335i) q^{75} +(-0.697770 + 0.402858i) q^{76} +(-0.379030 + 2.33398i) q^{77} +(-2.77565 - 5.59426i) q^{78} +(-6.40376 - 11.0916i) q^{79} -1.77344 q^{80} +(8.82093 + 1.78640i) q^{81} -6.94198i q^{82} -13.8340 q^{83} +(4.36041 - 1.40953i) q^{84} +(-6.64985 + 11.5179i) q^{85} +(3.35816 - 1.93884i) q^{86} +(-6.95897 - 13.5769i) q^{87} -0.893720 q^{88} +(-7.75816 + 13.4375i) q^{89} +(0.530658 - 5.29377i) q^{90} +(6.12838 - 7.31047i) q^{91} -5.45295i q^{92} +(-8.90433 + 13.7840i) q^{93} +8.38252i q^{94} +(-1.23745 + 0.714442i) q^{95} +(0.790045 + 1.54137i) q^{96} +(-4.24795 - 2.45256i) q^{97} +(4.64308 + 5.23849i) q^{98} +(0.267424 - 2.66779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) 0.0864870 1.72989i 0.0499333 0.998753i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 0.886718 + 1.53584i 0.396552 + 0.686848i 0.993298 0.115582i \(-0.0368733\pi\)
−0.596746 + 0.802430i \(0.703540\pi\)
\(6\) 0.939845 1.45489i 0.383690 0.593954i
\(7\) 2.61154 + 0.424103i 0.987069 + 0.160296i
\(8\) 1.00000i 0.353553i
\(9\) −2.98504 0.299226i −0.995013 0.0997420i
\(10\) 1.77344i 0.560809i
\(11\) 0.893720i 0.269467i 0.990882 + 0.134733i \(0.0430178\pi\)
−0.990882 + 0.134733i \(0.956982\pi\)
\(12\) 1.54137 0.790045i 0.444956 0.228066i
\(13\) 1.84344 3.09866i 0.511280 0.859414i
\(14\) 2.04961 + 1.67305i 0.547781 + 0.447142i
\(15\) 2.73352 1.40109i 0.705793 0.361761i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.74970 + 6.49467i 0.909436 + 1.57519i 0.814850 + 0.579672i \(0.196819\pi\)
0.0945862 + 0.995517i \(0.469847\pi\)
\(18\) −2.43551 1.75166i −0.574055 0.412870i
\(19\) 0.805715i 0.184844i 0.995720 + 0.0924219i \(0.0294608\pi\)
−0.995720 + 0.0924219i \(0.970539\pi\)
\(20\) −0.886718 + 1.53584i −0.198276 + 0.343424i
\(21\) 0.959516 4.48100i 0.209384 0.977834i
\(22\) −0.446860 + 0.773984i −0.0952709 + 0.165014i
\(23\) −4.72239 2.72647i −0.984686 0.568509i −0.0810046 0.996714i \(-0.525813\pi\)
−0.903682 + 0.428205i \(0.859146\pi\)
\(24\) 1.72989 + 0.0864870i 0.353112 + 0.0176541i
\(25\) 0.927464 1.60641i 0.185493 0.321283i
\(26\) 3.14580 1.76180i 0.616942 0.345517i
\(27\) −0.775795 + 5.13791i −0.149302 + 0.988792i
\(28\) 0.938485 + 2.47371i 0.177357 + 0.467487i
\(29\) 7.62822 4.40416i 1.41653 0.817832i 0.420534 0.907277i \(-0.361843\pi\)
0.995992 + 0.0894452i \(0.0285094\pi\)
\(30\) 3.06785 + 0.153379i 0.560110 + 0.0280031i
\(31\) −8.20495 4.73713i −1.47365 0.850813i −0.474092 0.880475i \(-0.657224\pi\)
−0.999560 + 0.0296621i \(0.990557\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) 1.54604 + 0.0772952i 0.269131 + 0.0134554i
\(34\) 7.49940i 1.28614i
\(35\) 1.66434 + 4.38697i 0.281325 + 0.741533i
\(36\) −1.23338 2.73473i −0.205564 0.455789i
\(37\) −1.84733 + 3.19966i −0.303699 + 0.526022i −0.976971 0.213373i \(-0.931555\pi\)
0.673272 + 0.739395i \(0.264888\pi\)
\(38\) −0.402858 + 0.697770i −0.0653521 + 0.113193i
\(39\) −5.20091 3.45695i −0.832812 0.553555i
\(40\) −1.53584 + 0.886718i −0.242838 + 0.140202i
\(41\) −3.47099 6.01193i −0.542078 0.938906i −0.998785 0.0492887i \(-0.984305\pi\)
0.456707 0.889617i \(-0.349029\pi\)
\(42\) 3.07146 3.40090i 0.473937 0.524770i
\(43\) 1.93884 3.35816i 0.295670 0.512115i −0.679471 0.733703i \(-0.737791\pi\)
0.975140 + 0.221588i \(0.0711239\pi\)
\(44\) −0.773984 + 0.446860i −0.116682 + 0.0673667i
\(45\) −2.18732 4.84987i −0.326067 0.722976i
\(46\) −2.72647 4.72239i −0.401996 0.696278i
\(47\) 4.19126 + 7.25948i 0.611358 + 1.05890i 0.991012 + 0.133775i \(0.0427099\pi\)
−0.379653 + 0.925129i \(0.623957\pi\)
\(48\) 1.45489 + 0.939845i 0.209995 + 0.135655i
\(49\) 6.64027 + 2.21512i 0.948610 + 0.316446i
\(50\) 1.60641 0.927464i 0.227181 0.131163i
\(51\) 11.5594 5.92486i 1.61864 0.829647i
\(52\) 3.60524 + 0.0471388i 0.499957 + 0.00653698i
\(53\) −2.72420 1.57281i −0.374197 0.216043i 0.301093 0.953595i \(-0.402648\pi\)
−0.675290 + 0.737552i \(0.735982\pi\)
\(54\) −3.24081 + 4.06166i −0.441019 + 0.552723i
\(55\) −1.37261 + 0.792477i −0.185083 + 0.106858i
\(56\) −0.424103 + 2.61154i −0.0566732 + 0.348982i
\(57\) 1.39380 + 0.0696839i 0.184613 + 0.00922986i
\(58\) 8.80832 1.15659
\(59\) 1.67450 + 2.90031i 0.218001 + 0.377589i 0.954197 0.299180i \(-0.0967131\pi\)
−0.736196 + 0.676769i \(0.763380\pi\)
\(60\) 2.58014 + 1.66675i 0.333095 + 0.215177i
\(61\) 8.21094i 1.05130i 0.850700 + 0.525652i \(0.176178\pi\)
−0.850700 + 0.525652i \(0.823822\pi\)
\(62\) −4.73713 8.20495i −0.601616 1.04203i
\(63\) −7.66865 2.04741i −0.966159 0.257949i
\(64\) −1.00000 −0.125000
\(65\) 6.39366 + 0.0835977i 0.793036 + 0.0103690i
\(66\) 1.30026 + 0.839958i 0.160051 + 0.103392i
\(67\) −7.98740 −0.975816 −0.487908 0.872895i \(-0.662240\pi\)
−0.487908 + 0.872895i \(0.662240\pi\)
\(68\) −3.74970 + 6.49467i −0.454718 + 0.787595i
\(69\) −5.12492 + 7.93341i −0.616968 + 0.955070i
\(70\) −0.752120 + 4.63139i −0.0898955 + 0.553558i
\(71\) −1.97967 1.14296i −0.234943 0.135645i 0.377907 0.925843i \(-0.376644\pi\)
−0.612850 + 0.790199i \(0.709977\pi\)
\(72\) 0.299226 2.98504i 0.0352641 0.351790i
\(73\) −7.54968 4.35881i −0.883624 0.510160i −0.0117722 0.999931i \(-0.503747\pi\)
−0.871851 + 0.489770i \(0.837081\pi\)
\(74\) −3.19966 + 1.84733i −0.371953 + 0.214747i
\(75\) −2.69871 1.74335i −0.311620 0.201304i
\(76\) −0.697770 + 0.402858i −0.0800397 + 0.0462109i
\(77\) −0.379030 + 2.33398i −0.0431944 + 0.265982i
\(78\) −2.77565 5.59426i −0.314280 0.633426i
\(79\) −6.40376 11.0916i −0.720479 1.24791i −0.960808 0.277215i \(-0.910589\pi\)
0.240329 0.970692i \(-0.422745\pi\)
\(80\) −1.77344 −0.198276
\(81\) 8.82093 + 1.78640i 0.980103 + 0.198489i
\(82\) 6.94198i 0.766613i
\(83\) −13.8340 −1.51847 −0.759237 0.650814i \(-0.774428\pi\)
−0.759237 + 0.650814i \(0.774428\pi\)
\(84\) 4.36041 1.40953i 0.475760 0.153793i
\(85\) −6.64985 + 11.5179i −0.721277 + 1.24929i
\(86\) 3.35816 1.93884i 0.362120 0.209070i
\(87\) −6.95897 13.5769i −0.746080 1.45560i
\(88\) −0.893720 −0.0952709
\(89\) −7.75816 + 13.4375i −0.822363 + 1.42437i 0.0815547 + 0.996669i \(0.474011\pi\)
−0.903918 + 0.427706i \(0.859322\pi\)
\(90\) 0.530658 5.29377i 0.0559363 0.558013i
\(91\) 6.12838 7.31047i 0.642429 0.766345i
\(92\) 5.45295i 0.568509i
\(93\) −8.90433 + 13.7840i −0.923336 + 1.42933i
\(94\) 8.38252i 0.864591i
\(95\) −1.23745 + 0.714442i −0.126960 + 0.0733002i
\(96\) 0.790045 + 1.54137i 0.0806336 + 0.157316i
\(97\) −4.24795 2.45256i −0.431314 0.249019i 0.268592 0.963254i \(-0.413442\pi\)
−0.699906 + 0.714235i \(0.746775\pi\)
\(98\) 4.64308 + 5.23849i 0.469022 + 0.529167i
\(99\) 0.267424 2.66779i 0.0268771 0.268123i
\(100\) 1.85493 0.185493
\(101\) −16.6370 −1.65545 −0.827724 0.561136i \(-0.810364\pi\)
−0.827724 + 0.561136i \(0.810364\pi\)
\(102\) 12.9731 + 0.648601i 1.28453 + 0.0642210i
\(103\) 7.46308 4.30881i 0.735359 0.424560i −0.0850206 0.996379i \(-0.527096\pi\)
0.820379 + 0.571820i \(0.193762\pi\)
\(104\) 3.09866 + 1.84344i 0.303849 + 0.180765i
\(105\) 7.73291 2.49971i 0.754655 0.243947i
\(106\) −1.57281 2.72420i −0.152765 0.264597i
\(107\) −14.1412 8.16443i −1.36708 0.789285i −0.376527 0.926406i \(-0.622882\pi\)
−0.990554 + 0.137121i \(0.956215\pi\)
\(108\) −4.83746 + 1.89710i −0.465485 + 0.182548i
\(109\) −0.641659 + 1.11139i −0.0614598 + 0.106452i −0.895118 0.445829i \(-0.852909\pi\)
0.833658 + 0.552281i \(0.186242\pi\)
\(110\) −1.58495 −0.151119
\(111\) 5.37530 + 3.47240i 0.510201 + 0.329586i
\(112\) −1.67305 + 2.04961i −0.158089 + 0.193670i
\(113\) −0.274369 0.158407i −0.0258105 0.0149017i 0.487039 0.873380i \(-0.338077\pi\)
−0.512850 + 0.858478i \(0.671410\pi\)
\(114\) 1.17222 + 0.757248i 0.109789 + 0.0709227i
\(115\) 9.67044i 0.901774i
\(116\) 7.62822 + 4.40416i 0.708263 + 0.408916i
\(117\) −6.42996 + 8.69803i −0.594450 + 0.804133i
\(118\) 3.34899i 0.308300i
\(119\) 7.03808 + 18.5513i 0.645179 + 1.70060i
\(120\) 1.40109 + 2.73352i 0.127902 + 0.249535i
\(121\) 10.2013 0.927388
\(122\) −4.10547 + 7.11088i −0.371692 + 0.643789i
\(123\) −10.7002 + 5.48448i −0.964802 + 0.494519i
\(124\) 9.47426i 0.850813i
\(125\) 12.1568 1.08733
\(126\) −5.61754 5.60743i −0.500450 0.499549i
\(127\) 2.45373 + 4.24999i 0.217733 + 0.377125i 0.954115 0.299442i \(-0.0968003\pi\)
−0.736381 + 0.676567i \(0.763467\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) −5.64157 3.64441i −0.496712 0.320873i
\(130\) 5.49528 + 3.26923i 0.481968 + 0.286730i
\(131\) 2.64301 + 4.57783i 0.230921 + 0.399967i 0.958079 0.286503i \(-0.0924927\pi\)
−0.727158 + 0.686470i \(0.759159\pi\)
\(132\) 0.706079 + 1.37756i 0.0614563 + 0.119901i
\(133\) −0.341707 + 2.10416i −0.0296297 + 0.182454i
\(134\) −6.91729 3.99370i −0.597563 0.345003i
\(135\) −8.57892 + 3.36438i −0.738356 + 0.289560i
\(136\) −6.49467 + 3.74970i −0.556913 + 0.321534i
\(137\) 0.350205 0.202191i 0.0299200 0.0172743i −0.484965 0.874533i \(-0.661168\pi\)
0.514885 + 0.857259i \(0.327834\pi\)
\(138\) −8.40502 + 4.30807i −0.715483 + 0.366728i
\(139\) 3.91193 + 2.25855i 0.331806 + 0.191568i 0.656642 0.754202i \(-0.271976\pi\)
−0.324837 + 0.945770i \(0.605309\pi\)
\(140\) −2.96705 + 3.63485i −0.250762 + 0.307201i
\(141\) 12.9206 6.62257i 1.08811 0.557721i
\(142\) −1.14296 1.97967i −0.0959152 0.166130i
\(143\) 2.76934 + 1.64752i 0.231584 + 0.137773i
\(144\) 1.75166 2.43551i 0.145971 0.202959i
\(145\) 13.5282 + 7.81049i 1.12345 + 0.648626i
\(146\) −4.35881 7.54968i −0.360738 0.624816i
\(147\) 4.40622 11.2954i 0.363419 0.931626i
\(148\) −3.69465 −0.303699
\(149\) 2.74649i 0.225001i 0.993652 + 0.112500i \(0.0358860\pi\)
−0.993652 + 0.112500i \(0.964114\pi\)
\(150\) −1.46548 2.85914i −0.119656 0.233447i
\(151\) 7.11941 12.3312i 0.579369 1.00350i −0.416183 0.909281i \(-0.636632\pi\)
0.995552 0.0942159i \(-0.0300344\pi\)
\(152\) −0.805715 −0.0653521
\(153\) −9.24963 20.5089i −0.747788 1.65804i
\(154\) −1.49524 + 1.83178i −0.120490 + 0.147609i
\(155\) 16.8020i 1.34957i
\(156\) 0.393352 6.23260i 0.0314933 0.499007i
\(157\) 19.0276 + 10.9856i 1.51857 + 0.876747i 0.999761 + 0.0218580i \(0.00695817\pi\)
0.518810 + 0.854889i \(0.326375\pi\)
\(158\) 12.8075i 1.01891i
\(159\) −2.95640 + 4.57653i −0.234458 + 0.362942i
\(160\) −1.53584 0.886718i −0.121419 0.0701012i
\(161\) −11.1764 9.12307i −0.880824 0.718999i
\(162\) 6.74595 + 5.95753i 0.530012 + 0.468068i
\(163\) 5.49317 0.430258 0.215129 0.976586i \(-0.430983\pi\)
0.215129 + 0.976586i \(0.430983\pi\)
\(164\) 3.47099 6.01193i 0.271039 0.469453i
\(165\) 1.25219 + 2.44300i 0.0974825 + 0.190188i
\(166\) −11.9806 6.91698i −0.929872 0.536862i
\(167\) −2.92252 5.06195i −0.226151 0.391706i 0.730513 0.682899i \(-0.239281\pi\)
−0.956664 + 0.291193i \(0.905948\pi\)
\(168\) 4.48100 + 0.959516i 0.345716 + 0.0740283i
\(169\) −6.20342 11.4244i −0.477186 0.878802i
\(170\) −11.5179 + 6.64985i −0.883381 + 0.510020i
\(171\) 0.241091 2.40509i 0.0184367 0.183922i
\(172\) 3.87767 0.295670
\(173\) −14.5872 −1.10905 −0.554523 0.832168i \(-0.687099\pi\)
−0.554523 + 0.832168i \(0.687099\pi\)
\(174\) 0.761805 15.2374i 0.0577523 1.15515i
\(175\) 3.10339 3.80187i 0.234595 0.287395i
\(176\) −0.773984 0.446860i −0.0583412 0.0336833i
\(177\) 5.16204 2.64586i 0.388003 0.198875i
\(178\) −13.4375 + 7.75816i −1.00719 + 0.581499i
\(179\) 9.68204i 0.723670i −0.932242 0.361835i \(-0.882150\pi\)
0.932242 0.361835i \(-0.117850\pi\)
\(180\) 3.10645 4.31921i 0.231541 0.321935i
\(181\) 16.1898i 1.20338i 0.798731 + 0.601688i \(0.205505\pi\)
−0.798731 + 0.601688i \(0.794495\pi\)
\(182\) 8.96257 3.26686i 0.664350 0.242156i
\(183\) 14.2040 + 0.710140i 1.04999 + 0.0524950i
\(184\) 2.72647 4.72239i 0.200998 0.348139i
\(185\) −6.55223 −0.481729
\(186\) −14.6034 + 7.48509i −1.07077 + 0.548833i
\(187\) −5.80442 + 3.35118i −0.424461 + 0.245063i
\(188\) −4.19126 + 7.25948i −0.305679 + 0.529452i
\(189\) −4.20503 + 13.0888i −0.305871 + 0.952073i
\(190\) −1.42888 −0.103662
\(191\) 15.7947i 1.14287i 0.820649 + 0.571433i \(0.193612\pi\)
−0.820649 + 0.571433i \(0.806388\pi\)
\(192\) −0.0864870 + 1.72989i −0.00624166 + 0.124844i
\(193\) −1.59938 −0.115126 −0.0575629 0.998342i \(-0.518333\pi\)
−0.0575629 + 0.998342i \(0.518333\pi\)
\(194\) −2.45256 4.24795i −0.176083 0.304985i
\(195\) 0.697584 11.0531i 0.0499550 0.791529i
\(196\) 1.40178 + 6.85821i 0.100127 + 0.489872i
\(197\) 3.83872 2.21629i 0.273498 0.157904i −0.356978 0.934113i \(-0.616193\pi\)
0.630476 + 0.776209i \(0.282860\pi\)
\(198\) 1.56549 2.17666i 0.111255 0.154689i
\(199\) 10.7128 6.18504i 0.759410 0.438446i −0.0696738 0.997570i \(-0.522196\pi\)
0.829084 + 0.559124i \(0.188863\pi\)
\(200\) 1.60641 + 0.927464i 0.113591 + 0.0655816i
\(201\) −0.690806 + 13.8173i −0.0487257 + 0.974599i
\(202\) −14.4081 8.31852i −1.01375 0.585289i
\(203\) 21.7892 8.26647i 1.52930 0.580193i
\(204\) 10.9108 + 7.04827i 0.763906 + 0.493478i
\(205\) 6.15558 10.6618i 0.429924 0.744650i
\(206\) 8.61762 0.600418
\(207\) 13.2807 + 9.55169i 0.923072 + 0.663889i
\(208\) 1.76180 + 3.14580i 0.122159 + 0.218122i
\(209\) −0.720084 −0.0498092
\(210\) 7.94676 + 1.70164i 0.548378 + 0.117424i
\(211\) −9.95733 17.2466i −0.685491 1.18731i −0.973282 0.229612i \(-0.926254\pi\)
0.287791 0.957693i \(-0.407079\pi\)
\(212\) 3.14563i 0.216043i
\(213\) −2.14841 + 3.32576i −0.147207 + 0.227877i
\(214\) −8.16443 14.1412i −0.558109 0.966673i
\(215\) 6.87680 0.468994
\(216\) −5.13791 0.775795i −0.349591 0.0527862i
\(217\) −19.4185 15.8509i −1.31821 1.07603i
\(218\) −1.11139 + 0.641659i −0.0752726 + 0.0434587i
\(219\) −8.19322 + 12.6831i −0.553646 + 0.857047i
\(220\) −1.37261 0.792477i −0.0925414 0.0534288i
\(221\) 27.0372 + 0.353513i 1.81872 + 0.0237799i
\(222\) 2.91894 + 5.69484i 0.195907 + 0.382212i
\(223\) 6.77255 3.91013i 0.453523 0.261842i −0.255794 0.966731i \(-0.582337\pi\)
0.709317 + 0.704890i \(0.249003\pi\)
\(224\) −2.47371 + 0.938485i −0.165282 + 0.0627052i
\(225\) −3.24920 + 4.51769i −0.216613 + 0.301179i
\(226\) −0.158407 0.274369i −0.0105371 0.0182508i
\(227\) 11.3466 + 19.6528i 0.753098 + 1.30440i 0.946315 + 0.323247i \(0.104775\pi\)
−0.193217 + 0.981156i \(0.561892\pi\)
\(228\) 0.636552 + 1.24191i 0.0421567 + 0.0822473i
\(229\) 2.94903 1.70262i 0.194877 0.112513i −0.399386 0.916783i \(-0.630777\pi\)
0.594264 + 0.804270i \(0.297443\pi\)
\(230\) 4.83522 8.37485i 0.318825 0.552221i
\(231\) 4.00476 + 0.857539i 0.263494 + 0.0564219i
\(232\) 4.40416 + 7.62822i 0.289147 + 0.500817i
\(233\) 5.66985 3.27349i 0.371444 0.214453i −0.302645 0.953103i \(-0.597870\pi\)
0.674089 + 0.738650i \(0.264536\pi\)
\(234\) −9.91752 + 4.31773i −0.648329 + 0.282259i
\(235\) −7.43293 + 12.8742i −0.484871 + 0.839821i
\(236\) −1.67450 + 2.90031i −0.109000 + 0.188794i
\(237\) −19.7412 + 10.1185i −1.28233 + 0.657268i
\(238\) −3.18052 + 19.5850i −0.206163 + 1.26951i
\(239\) 2.75097i 0.177946i −0.996034 0.0889729i \(-0.971642\pi\)
0.996034 0.0889729i \(-0.0283584\pi\)
\(240\) −0.153379 + 3.06785i −0.00990058 + 0.198029i
\(241\) 5.30840 3.06480i 0.341944 0.197421i −0.319187 0.947692i \(-0.603410\pi\)
0.661131 + 0.750270i \(0.270077\pi\)
\(242\) 8.83455 + 5.10063i 0.567907 + 0.327881i
\(243\) 3.85318 15.1047i 0.247181 0.968969i
\(244\) −7.11088 + 4.10547i −0.455228 + 0.262826i
\(245\) 2.48597 + 12.1626i 0.158823 + 0.777039i
\(246\) −12.0089 0.600391i −0.765657 0.0382795i
\(247\) 2.49664 + 1.48529i 0.158857 + 0.0945069i
\(248\) 4.73713 8.20495i 0.300808 0.521015i
\(249\) −1.19646 + 23.9312i −0.0758224 + 1.51658i
\(250\) 10.5281 + 6.07838i 0.665854 + 0.384431i
\(251\) 6.30342 10.9178i 0.397868 0.689128i −0.595594 0.803285i \(-0.703083\pi\)
0.993463 + 0.114157i \(0.0364167\pi\)
\(252\) −2.06122 7.66495i −0.129845 0.482846i
\(253\) 2.43670 4.22049i 0.153194 0.265340i
\(254\) 4.90746i 0.307921i
\(255\) 19.3495 + 12.4997i 1.21171 + 0.782759i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 13.6331 23.6133i 0.850411 1.47295i −0.0304278 0.999537i \(-0.509687\pi\)
0.880838 0.473417i \(-0.156980\pi\)
\(258\) −3.06354 5.97694i −0.190727 0.372108i
\(259\) −6.18135 + 7.57259i −0.384091 + 0.470538i
\(260\) 3.12443 + 5.57887i 0.193769 + 0.345987i
\(261\) −24.0884 + 10.8640i −1.49103 + 0.672466i
\(262\) 5.28603i 0.326572i
\(263\) 0.562483i 0.0346842i 0.999850 + 0.0173421i \(0.00552043\pi\)
−0.999850 + 0.0173421i \(0.994480\pi\)
\(264\) −0.0772952 + 1.54604i −0.00475719 + 0.0951520i
\(265\) 5.57857i 0.342689i
\(266\) −1.34801 + 1.65140i −0.0826515 + 0.101254i
\(267\) 22.5745 + 14.5829i 1.38153 + 0.892461i
\(268\) −3.99370 6.91729i −0.243954 0.422541i
\(269\) −1.96598 3.40518i −0.119868 0.207617i 0.799847 0.600204i \(-0.204914\pi\)
−0.919715 + 0.392586i \(0.871580\pi\)
\(270\) −9.11175 1.37582i −0.554524 0.0837299i
\(271\) 0.759673 + 0.438598i 0.0461469 + 0.0266429i 0.522896 0.852397i \(-0.324852\pi\)
−0.476749 + 0.879039i \(0.658185\pi\)
\(272\) −7.49940 −0.454718
\(273\) −12.1163 11.2337i −0.733311 0.679894i
\(274\) 0.404382 0.0244296
\(275\) 1.43568 + 0.828893i 0.0865751 + 0.0499841i
\(276\) −9.43300 0.471609i −0.567800 0.0283875i
\(277\) 6.30351 + 10.9180i 0.378741 + 0.655999i 0.990879 0.134752i \(-0.0430237\pi\)
−0.612138 + 0.790751i \(0.709690\pi\)
\(278\) 2.25855 + 3.91193i 0.135459 + 0.234622i
\(279\) 23.0746 + 16.5956i 1.38144 + 0.993556i
\(280\) −4.38697 + 1.66434i −0.262171 + 0.0994635i
\(281\) 6.37716i 0.380429i 0.981743 + 0.190215i \(0.0609184\pi\)
−0.981743 + 0.190215i \(0.939082\pi\)
\(282\) 14.5008 + 0.724979i 0.863513 + 0.0431719i
\(283\) 0.760814i 0.0452257i 0.999744 + 0.0226129i \(0.00719851\pi\)
−0.999744 + 0.0226129i \(0.992801\pi\)
\(284\) 2.28592i 0.135645i
\(285\) 1.12888 + 2.20244i 0.0668692 + 0.130461i
\(286\) 1.57455 + 2.81147i 0.0931053 + 0.166245i
\(287\) −6.51495 17.1725i −0.384565 1.01366i
\(288\) 2.73473 1.23338i 0.161146 0.0726778i
\(289\) −19.6205 + 33.9837i −1.15415 + 1.99904i
\(290\) 7.81049 + 13.5282i 0.458648 + 0.794401i
\(291\) −4.61005 + 7.13638i −0.270246 + 0.418342i
\(292\) 8.71762i 0.510160i
\(293\) 6.35235 11.0026i 0.371108 0.642778i −0.618628 0.785684i \(-0.712311\pi\)
0.989736 + 0.142906i \(0.0456446\pi\)
\(294\) 9.46358 7.57896i 0.551927 0.442014i
\(295\) −2.96961 + 5.14352i −0.172897 + 0.299467i
\(296\) −3.19966 1.84733i −0.185977 0.107374i
\(297\) −4.59185 0.693344i −0.266446 0.0402319i
\(298\) −1.37324 + 2.37853i −0.0795499 + 0.137784i
\(299\) −17.1539 + 9.60699i −0.992035 + 0.555587i
\(300\) 0.160427 3.20882i 0.00926227 0.185261i
\(301\) 6.48756 7.94771i 0.373936 0.458098i
\(302\) 12.3312 7.11941i 0.709579 0.409676i
\(303\) −1.43889 + 28.7802i −0.0826619 + 1.65338i
\(304\) −0.697770 0.402858i −0.0400199 0.0231055i
\(305\) −12.6107 + 7.28078i −0.722086 + 0.416897i
\(306\) 2.24402 22.3860i 0.128282 1.27972i
\(307\) 2.90418i 0.165750i 0.996560 + 0.0828751i \(0.0264102\pi\)
−0.996560 + 0.0828751i \(0.973590\pi\)
\(308\) −2.21080 + 0.838743i −0.125972 + 0.0477918i
\(309\) −6.80831 13.2830i −0.387311 0.755641i
\(310\) 8.40099 14.5509i 0.477144 0.826438i
\(311\) −9.08284 + 15.7319i −0.515040 + 0.892076i 0.484807 + 0.874621i \(0.338890\pi\)
−0.999848 + 0.0174552i \(0.994444\pi\)
\(312\) 3.45695 5.20091i 0.195711 0.294444i
\(313\) 2.78744 1.60933i 0.157556 0.0909648i −0.419149 0.907917i \(-0.637672\pi\)
0.576705 + 0.816953i \(0.304338\pi\)
\(314\) 10.9856 + 19.0276i 0.619954 + 1.07379i
\(315\) −3.65544 13.5933i −0.205960 0.765895i
\(316\) 6.40376 11.0916i 0.360240 0.623953i
\(317\) −0.947773 + 0.547197i −0.0532322 + 0.0307336i −0.526380 0.850249i \(-0.676451\pi\)
0.473148 + 0.880983i \(0.343118\pi\)
\(318\) −4.84859 + 2.48519i −0.271895 + 0.139362i
\(319\) 3.93608 + 6.81750i 0.220378 + 0.381706i
\(320\) −0.886718 1.53584i −0.0495690 0.0858561i
\(321\) −15.3466 + 23.7566i −0.856563 + 1.32596i
\(322\) −5.11751 13.4890i −0.285188 0.751713i
\(323\) −5.23286 + 3.02119i −0.291164 + 0.168104i
\(324\) 2.86339 + 8.53235i 0.159077 + 0.474019i
\(325\) −3.26801 5.83524i −0.181277 0.323681i
\(326\) 4.75722 + 2.74658i 0.263478 + 0.152119i
\(327\) 1.86708 + 1.20612i 0.103250 + 0.0666986i
\(328\) 6.01193 3.47099i 0.331953 0.191653i
\(329\) 7.86687 + 20.7359i 0.433715 + 1.14321i
\(330\) −0.137078 + 2.74180i −0.00754589 + 0.150931i
\(331\) −21.6269 −1.18872 −0.594360 0.804199i \(-0.702595\pi\)
−0.594360 + 0.804199i \(0.702595\pi\)
\(332\) −6.91698 11.9806i −0.379619 0.657519i
\(333\) 6.47177 8.99836i 0.354651 0.493107i
\(334\) 5.84504i 0.319826i
\(335\) −7.08257 12.2674i −0.386962 0.670238i
\(336\) 3.40090 + 3.07146i 0.185534 + 0.167562i
\(337\) 16.9544 0.923564 0.461782 0.886993i \(-0.347210\pi\)
0.461782 + 0.886993i \(0.347210\pi\)
\(338\) 0.339894 12.9956i 0.0184878 0.706865i
\(339\) −0.297756 + 0.460929i −0.0161719 + 0.0250342i
\(340\) −13.2997 −0.721277
\(341\) 4.23367 7.33292i 0.229266 0.397100i
\(342\) 1.41134 1.96233i 0.0763164 0.106110i
\(343\) 16.4019 + 8.60105i 0.885619 + 0.464413i
\(344\) 3.35816 + 1.93884i 0.181060 + 0.104535i
\(345\) −16.7288 0.836368i −0.900649 0.0450285i
\(346\) −12.6329 7.29361i −0.679149 0.392107i
\(347\) 19.2078 11.0897i 1.03113 0.595324i 0.113822 0.993501i \(-0.463691\pi\)
0.917308 + 0.398177i \(0.130357\pi\)
\(348\) 8.27845 12.8151i 0.443772 0.686961i
\(349\) 9.10947 5.25936i 0.487619 0.281527i −0.235967 0.971761i \(-0.575826\pi\)
0.723586 + 0.690234i \(0.242492\pi\)
\(350\) 4.58856 1.74082i 0.245269 0.0930509i
\(351\) 14.4905 + 11.8754i 0.773447 + 0.633861i
\(352\) −0.446860 0.773984i −0.0238177 0.0412535i
\(353\) 25.1674 1.33952 0.669762 0.742576i \(-0.266396\pi\)
0.669762 + 0.742576i \(0.266396\pi\)
\(354\) 5.79339 + 0.289644i 0.307915 + 0.0153944i
\(355\) 4.05394i 0.215161i
\(356\) −15.5163 −0.822363
\(357\) 32.7005 10.5706i 1.73069 0.559458i
\(358\) 4.84102 8.38489i 0.255856 0.443155i
\(359\) 20.7408 11.9747i 1.09466 0.632002i 0.159846 0.987142i \(-0.448900\pi\)
0.934813 + 0.355140i \(0.115567\pi\)
\(360\) 4.84987 2.18732i 0.255611 0.115282i
\(361\) 18.3508 0.965833
\(362\) −8.09488 + 14.0207i −0.425458 + 0.736914i
\(363\) 0.882277 17.6471i 0.0463075 0.926231i
\(364\) 9.39524 + 1.65210i 0.492444 + 0.0865936i
\(365\) 15.4601i 0.809221i
\(366\) 11.9460 + 7.71701i 0.624426 + 0.403375i
\(367\) 14.2995i 0.746425i −0.927746 0.373213i \(-0.878256\pi\)
0.927746 0.373213i \(-0.121744\pi\)
\(368\) 4.72239 2.72647i 0.246172 0.142127i
\(369\) 8.56212 + 18.9845i 0.445726 + 0.988292i
\(370\) −5.67440 3.27611i −0.294998 0.170317i
\(371\) −6.44731 5.26281i −0.334727 0.273231i
\(372\) −16.3894 0.819400i −0.849752 0.0424839i
\(373\) 5.37410 0.278260 0.139130 0.990274i \(-0.455569\pi\)
0.139130 + 0.990274i \(0.455569\pi\)
\(374\) −6.70236 −0.346571
\(375\) 1.05140 21.0299i 0.0542942 1.08598i
\(376\) −7.25948 + 4.19126i −0.374379 + 0.216148i
\(377\) 0.415214 31.7561i 0.0213846 1.63552i
\(378\) −10.1861 + 9.23276i −0.523915 + 0.474882i
\(379\) 9.34507 + 16.1861i 0.480024 + 0.831426i 0.999737 0.0229149i \(-0.00729466\pi\)
−0.519714 + 0.854341i \(0.673961\pi\)
\(380\) −1.23745 0.714442i −0.0634798 0.0366501i
\(381\) 7.56422 3.87712i 0.387527 0.198631i
\(382\) −7.89736 + 13.6786i −0.404064 + 0.699859i
\(383\) −32.8148 −1.67676 −0.838379 0.545088i \(-0.816496\pi\)
−0.838379 + 0.545088i \(0.816496\pi\)
\(384\) −0.939845 + 1.45489i −0.0479613 + 0.0742443i
\(385\) −3.92072 + 1.48746i −0.199818 + 0.0758078i
\(386\) −1.38510 0.799689i −0.0704998 0.0407031i
\(387\) −6.79235 + 9.44410i −0.345275 + 0.480071i
\(388\) 4.90511i 0.249019i
\(389\) −7.54767 4.35765i −0.382682 0.220941i 0.296303 0.955094i \(-0.404246\pi\)
−0.678984 + 0.734153i \(0.737580\pi\)
\(390\) 6.13068 9.22348i 0.310439 0.467049i
\(391\) 40.8938i 2.06809i
\(392\) −2.21512 + 6.64027i −0.111881 + 0.335384i
\(393\) 8.14774 4.17620i 0.410999 0.210661i
\(394\) 4.43257 0.223310
\(395\) 11.3566 19.6703i 0.571415 0.989720i
\(396\) 2.44409 1.10230i 0.122820 0.0553926i
\(397\) 39.0196i 1.95834i 0.203043 + 0.979170i \(0.434917\pi\)
−0.203043 + 0.979170i \(0.565083\pi\)
\(398\) 12.3701 0.620056
\(399\) 3.61041 + 0.773097i 0.180746 + 0.0387033i
\(400\) 0.927464 + 1.60641i 0.0463732 + 0.0803207i
\(401\) −6.18619 3.57160i −0.308923 0.178357i 0.337521 0.941318i \(-0.390412\pi\)
−0.646445 + 0.762961i \(0.723745\pi\)
\(402\) −7.50692 + 11.6208i −0.374411 + 0.579590i
\(403\) −29.8041 + 16.6917i −1.48465 + 0.831474i
\(404\) −8.31852 14.4081i −0.413862 0.716830i
\(405\) 5.07804 + 15.1316i 0.252330 + 0.751894i
\(406\) 23.0033 + 3.73564i 1.14163 + 0.185396i
\(407\) −2.85960 1.65099i −0.141745 0.0818367i
\(408\) 5.92486 + 11.5594i 0.293325 + 0.572274i
\(409\) −12.9097 + 7.45341i −0.638343 + 0.368548i −0.783976 0.620791i \(-0.786812\pi\)
0.145633 + 0.989339i \(0.453478\pi\)
\(410\) 10.6618 6.15558i 0.526547 0.304002i
\(411\) −0.319480 0.623303i −0.0157588 0.0307453i
\(412\) 7.46308 + 4.30881i 0.367679 + 0.212280i
\(413\) 3.14298 + 8.28444i 0.154656 + 0.407651i
\(414\) 6.72557 + 14.9124i 0.330544 + 0.732902i
\(415\) −12.2668 21.2468i −0.602154 1.04296i
\(416\) −0.0471388 + 3.60524i −0.00231117 + 0.176762i
\(417\) 4.24538 6.57187i 0.207897 0.321826i
\(418\) −0.623611 0.360042i −0.0305018 0.0176102i
\(419\) 10.6067 + 18.3714i 0.518172 + 0.897500i 0.999777 + 0.0211116i \(0.00672052\pi\)
−0.481605 + 0.876388i \(0.659946\pi\)
\(420\) 6.03127 + 5.44704i 0.294296 + 0.265788i
\(421\) 1.98956 0.0969651 0.0484825 0.998824i \(-0.484561\pi\)
0.0484825 + 0.998824i \(0.484561\pi\)
\(422\) 19.9147i 0.969430i
\(423\) −10.3389 22.9240i −0.502692 1.11460i
\(424\) 1.57281 2.72420i 0.0763826 0.132299i
\(425\) 13.9108 0.674775
\(426\) −3.52346 + 1.80598i −0.170712 + 0.0875001i
\(427\) −3.48229 + 21.4432i −0.168520 + 1.03771i
\(428\) 16.3289i 0.789285i
\(429\) 3.08955 4.64816i 0.149165 0.224415i
\(430\) 5.95548 + 3.43840i 0.287199 + 0.165814i
\(431\) 14.5363i 0.700189i −0.936714 0.350094i \(-0.886150\pi\)
0.936714 0.350094i \(-0.113850\pi\)
\(432\) −4.06166 3.24081i −0.195417 0.155924i
\(433\) 1.17784 + 0.680025i 0.0566033 + 0.0326799i 0.528035 0.849223i \(-0.322929\pi\)
−0.471431 + 0.881903i \(0.656262\pi\)
\(434\) −8.89145 23.4366i −0.426803 1.12499i
\(435\) 14.6813 22.7267i 0.703914 1.08966i
\(436\) −1.28332 −0.0614598
\(437\) 2.19676 3.80490i 0.105085 0.182013i
\(438\) −13.4371 + 6.88732i −0.642050 + 0.329089i
\(439\) 25.8566 + 14.9283i 1.23407 + 0.712488i 0.967875 0.251432i \(-0.0809014\pi\)
0.266191 + 0.963920i \(0.414235\pi\)
\(440\) −0.792477 1.37261i −0.0377799 0.0654366i
\(441\) −19.1587 8.59918i −0.912317 0.409485i
\(442\) 23.2381 + 13.8247i 1.10532 + 0.657575i
\(443\) −31.3793 + 18.1168i −1.49087 + 0.860757i −0.999945 0.0104432i \(-0.996676\pi\)
−0.490929 + 0.871200i \(0.663342\pi\)
\(444\) −0.319540 + 6.39135i −0.0151647 + 0.303320i
\(445\) −27.5172 −1.30444
\(446\) 7.82027 0.370300
\(447\) 4.75112 + 0.237535i 0.224720 + 0.0112350i
\(448\) −2.61154 0.424103i −0.123384 0.0200370i
\(449\) −28.3824 16.3866i −1.33945 0.773331i −0.352723 0.935728i \(-0.614744\pi\)
−0.986726 + 0.162397i \(0.948078\pi\)
\(450\) −5.07273 + 2.28784i −0.239131 + 0.107850i
\(451\) 5.37298 3.10209i 0.253004 0.146072i
\(452\) 0.316814i 0.0149017i
\(453\) −20.7158 13.3823i −0.973315 0.628754i
\(454\) 22.6931i 1.06504i
\(455\) 16.6619 + 2.92989i 0.781120 + 0.137355i
\(456\) −0.0696839 + 1.39380i −0.00326325 + 0.0652706i
\(457\) 5.44826 9.43666i 0.254859 0.441428i −0.709998 0.704203i \(-0.751304\pi\)
0.964857 + 0.262775i \(0.0846377\pi\)
\(458\) 3.40525 0.159117
\(459\) −36.2780 + 14.2271i −1.69331 + 0.664064i
\(460\) 8.37485 4.83522i 0.390479 0.225443i
\(461\) −16.4579 + 28.5059i −0.766520 + 1.32765i 0.172919 + 0.984936i \(0.444680\pi\)
−0.939439 + 0.342715i \(0.888653\pi\)
\(462\) 3.03945 + 2.74503i 0.141408 + 0.127710i
\(463\) −9.98781 −0.464173 −0.232086 0.972695i \(-0.574555\pi\)
−0.232086 + 0.972695i \(0.574555\pi\)
\(464\) 8.80832i 0.408916i
\(465\) −29.0656 1.45315i −1.34788 0.0673883i
\(466\) 6.54698 0.303283
\(467\) −10.4424 18.0868i −0.483217 0.836956i 0.516597 0.856228i \(-0.327198\pi\)
−0.999814 + 0.0192723i \(0.993865\pi\)
\(468\) −10.7477 1.21949i −0.496812 0.0563711i
\(469\) −20.8594 3.38748i −0.963198 0.156419i
\(470\) −12.8742 + 7.43293i −0.593843 + 0.342855i
\(471\) 20.6496 31.9656i 0.951481 1.47290i
\(472\) −2.90031 + 1.67450i −0.133498 + 0.0770749i
\(473\) 3.00126 + 1.73278i 0.137998 + 0.0796732i
\(474\) −22.1556 1.10768i −1.01764 0.0508776i
\(475\) 1.29431 + 0.747272i 0.0593872 + 0.0342872i
\(476\) −12.5469 + 15.3708i −0.575086 + 0.704521i
\(477\) 7.66120 + 5.51006i 0.350782 + 0.252289i
\(478\) 1.37549 2.38241i 0.0629133 0.108969i
\(479\) 11.8605 0.541919 0.270960 0.962591i \(-0.412659\pi\)
0.270960 + 0.962591i \(0.412659\pi\)
\(480\) −1.66675 + 2.58014i −0.0760766 + 0.117767i
\(481\) 6.50923 + 11.6226i 0.296796 + 0.529947i
\(482\) 6.12961 0.279196
\(483\) −16.7485 + 18.5449i −0.762084 + 0.843823i
\(484\) 5.10063 + 8.83455i 0.231847 + 0.401571i
\(485\) 8.69890i 0.394997i
\(486\) 10.8893 11.1545i 0.493949 0.505978i
\(487\) 9.49393 + 16.4440i 0.430211 + 0.745148i 0.996891 0.0787903i \(-0.0251058\pi\)
−0.566680 + 0.823938i \(0.691772\pi\)
\(488\) −8.21094 −0.371692
\(489\) 0.475088 9.50257i 0.0214842 0.429721i
\(490\) −3.92838 + 11.7761i −0.177466 + 0.531990i
\(491\) −22.5331 + 13.0095i −1.01691 + 0.587111i −0.913206 0.407498i \(-0.866401\pi\)
−0.103699 + 0.994609i \(0.533068\pi\)
\(492\) −10.0998 6.52439i −0.455333 0.294142i
\(493\) 57.2071 + 33.0285i 2.57648 + 1.48753i
\(494\) 1.41951 + 2.53462i 0.0638667 + 0.114038i
\(495\) 4.33443 1.95485i 0.194818 0.0878642i
\(496\) 8.20495 4.73713i 0.368413 0.212703i
\(497\) −4.68524 3.82447i −0.210162 0.171551i
\(498\) −13.0018 + 20.1268i −0.582624 + 0.901905i
\(499\) −5.42439 9.39532i −0.242829 0.420592i 0.718690 0.695331i \(-0.244742\pi\)
−0.961519 + 0.274738i \(0.911409\pi\)
\(500\) 6.07838 + 10.5281i 0.271834 + 0.470830i
\(501\) −9.00939 + 4.61785i −0.402510 + 0.206310i
\(502\) 10.9178 6.30342i 0.487287 0.281335i
\(503\) 4.86978 8.43471i 0.217133 0.376085i −0.736797 0.676114i \(-0.763663\pi\)
0.953930 + 0.300029i \(0.0969962\pi\)
\(504\) 2.04741 7.66865i 0.0911987 0.341589i
\(505\) −14.7524 25.5518i −0.656471 1.13704i
\(506\) 4.22049 2.43670i 0.187624 0.108325i
\(507\) −20.2995 + 9.74317i −0.901533 + 0.432709i
\(508\) −2.45373 + 4.24999i −0.108867 + 0.188563i
\(509\) −5.74843 + 9.95658i −0.254795 + 0.441318i −0.964840 0.262839i \(-0.915341\pi\)
0.710045 + 0.704156i \(0.248675\pi\)
\(510\) 10.5074 + 20.4998i 0.465274 + 0.907746i
\(511\) −17.8677 14.5851i −0.790421 0.645205i
\(512\) 1.00000i 0.0441942i
\(513\) −4.13969 0.625070i −0.182772 0.0275975i
\(514\) 23.6133 13.6331i 1.04154 0.601331i
\(515\) 13.2353 + 7.64139i 0.583216 + 0.336720i
\(516\) 0.335368 6.70795i 0.0147638 0.295301i
\(517\) −6.48794 + 3.74581i −0.285339 + 0.164741i
\(518\) −9.13950 + 3.46738i −0.401567 + 0.152348i
\(519\) −1.26161 + 25.2343i −0.0553783 + 1.10766i
\(520\) −0.0835977 + 6.39366i −0.00366600 + 0.280381i
\(521\) −1.77397 + 3.07261i −0.0777191 + 0.134613i −0.902265 0.431181i \(-0.858097\pi\)
0.824546 + 0.565794i \(0.191430\pi\)
\(522\) −26.2932 2.63568i −1.15082 0.115360i
\(523\) −10.3157 5.95576i −0.451073 0.260427i 0.257210 0.966355i \(-0.417197\pi\)
−0.708283 + 0.705928i \(0.750530\pi\)
\(524\) −2.64301 + 4.57783i −0.115461 + 0.199984i
\(525\) −6.30842 5.69734i −0.275322 0.248653i
\(526\) −0.281241 + 0.487124i −0.0122627 + 0.0212396i
\(527\) 71.0512i 3.09504i
\(528\) −0.839958 + 1.30026i −0.0365545 + 0.0565866i
\(529\) 3.36731 + 5.83235i 0.146405 + 0.253580i
\(530\) 2.78928 4.83118i 0.121159 0.209853i
\(531\) −4.13059 9.15860i −0.179252 0.397449i
\(532\) −1.99311 + 0.756152i −0.0864121 + 0.0327833i
\(533\) −25.0275 0.327237i −1.08406 0.0141742i
\(534\) 12.2586 + 23.9164i 0.530481 + 1.03496i
\(535\) 28.9582i 1.25197i
\(536\) 7.98740i 0.345003i
\(537\) −16.7489 0.837371i −0.722767 0.0361352i
\(538\) 3.93196i 0.169519i
\(539\) −1.97970 + 5.93454i −0.0852718 + 0.255619i
\(540\) −7.20310 5.74737i −0.309972 0.247328i
\(541\) 8.93957 + 15.4838i 0.384342 + 0.665700i 0.991678 0.128745i \(-0.0410950\pi\)
−0.607336 + 0.794445i \(0.707762\pi\)
\(542\) 0.438598 + 0.759673i 0.0188394 + 0.0326308i
\(543\) 28.0065 + 1.40020i 1.20187 + 0.0600885i
\(544\) −6.49467 3.74970i −0.278457 0.160767i
\(545\) −2.27588 −0.0974881
\(546\) −4.87616 15.7868i −0.208681 0.675613i
\(547\) −37.3187 −1.59563 −0.797817 0.602899i \(-0.794012\pi\)
−0.797817 + 0.602899i \(0.794012\pi\)
\(548\) 0.350205 + 0.202191i 0.0149600 + 0.00863717i
\(549\) 2.45693 24.5100i 0.104859 1.04606i
\(550\) 0.828893 + 1.43568i 0.0353441 + 0.0612178i
\(551\) 3.54850 + 6.14618i 0.151171 + 0.261836i
\(552\) −7.93341 5.12492i −0.337668 0.218131i
\(553\) −12.0197 31.6821i −0.511128 1.34726i
\(554\) 12.6070i 0.535621i
\(555\) −0.566683 + 11.3346i −0.0240543 + 0.481128i
\(556\) 4.51711i 0.191568i
\(557\) 2.55190i 0.108127i 0.998537 + 0.0540637i \(0.0172174\pi\)
−0.998537 + 0.0540637i \(0.982783\pi\)
\(558\) 11.6854 + 25.9096i 0.494682 + 1.09684i
\(559\) −6.83168 12.1984i −0.288949 0.515937i
\(560\) −4.63139 0.752120i −0.195712 0.0317829i
\(561\) 5.29517 + 10.3308i 0.223562 + 0.436168i
\(562\) −3.18858 + 5.52278i −0.134502 + 0.232964i
\(563\) 2.09878 + 3.63519i 0.0884529 + 0.153205i 0.906857 0.421438i \(-0.138474\pi\)
−0.818404 + 0.574643i \(0.805141\pi\)
\(564\) 12.1956 + 7.87827i 0.513528 + 0.331735i
\(565\) 0.561850i 0.0236372i
\(566\) −0.380407 + 0.658885i −0.0159897 + 0.0276950i
\(567\) 22.2786 + 8.40625i 0.935612 + 0.353029i
\(568\) 1.14296 1.97967i 0.0479576 0.0830650i
\(569\) 32.1347 + 18.5530i 1.34716 + 0.777782i 0.987846 0.155435i \(-0.0496781\pi\)
0.359312 + 0.933218i \(0.383011\pi\)
\(570\) −0.123580 + 2.47181i −0.00517619 + 0.103533i
\(571\) 2.55983 4.43376i 0.107126 0.185547i −0.807479 0.589896i \(-0.799169\pi\)
0.914605 + 0.404349i \(0.132502\pi\)
\(572\) −0.0421289 + 3.22208i −0.00176150 + 0.134722i
\(573\) 27.3231 + 1.36604i 1.14144 + 0.0570670i
\(574\) 2.94412 18.1293i 0.122885 0.756700i
\(575\) −8.75969 + 5.05741i −0.365304 + 0.210909i
\(576\) 2.98504 + 0.299226i 0.124377 + 0.0124678i
\(577\) −4.55577 2.63028i −0.189659 0.109500i 0.402164 0.915568i \(-0.368258\pi\)
−0.591823 + 0.806068i \(0.701592\pi\)
\(578\) −33.9837 + 19.6205i −1.41354 + 0.816105i
\(579\) −0.138325 + 2.76675i −0.00574861 + 0.114982i
\(580\) 15.6210i 0.648626i
\(581\) −36.1279 5.86703i −1.49884 0.243405i
\(582\) −7.56061 + 3.87526i −0.313397 + 0.160635i
\(583\) 1.40566 2.43467i 0.0582163 0.100834i
\(584\) 4.35881 7.54968i 0.180369 0.312408i
\(585\) −19.0603 2.16269i −0.788048 0.0894164i
\(586\) 11.0026 6.35235i 0.454513 0.262413i
\(587\) 13.2127 + 22.8850i 0.545346 + 0.944567i 0.998585 + 0.0531780i \(0.0169351\pi\)
−0.453239 + 0.891389i \(0.649732\pi\)
\(588\) 11.9852 1.83178i 0.494261 0.0755415i
\(589\) 3.81678 6.61085i 0.157268 0.272395i
\(590\) −5.14352 + 2.96961i −0.211755 + 0.122257i
\(591\) −3.50193 6.83225i −0.144050 0.281041i
\(592\) −1.84733 3.19966i −0.0759247 0.131505i
\(593\) 11.1153 + 19.2523i 0.456451 + 0.790596i 0.998770 0.0495766i \(-0.0157872\pi\)
−0.542320 + 0.840172i \(0.682454\pi\)
\(594\) −3.62999 2.89638i −0.148940 0.118840i
\(595\) −22.2511 + 27.2592i −0.912207 + 1.11752i
\(596\) −2.37853 + 1.37324i −0.0974283 + 0.0562502i
\(597\) −9.77292 19.0669i −0.399979 0.780356i
\(598\) −19.6592 0.257046i −0.803924 0.0105114i
\(599\) −15.9688 9.21958i −0.652467 0.376702i 0.136934 0.990580i \(-0.456275\pi\)
−0.789401 + 0.613878i \(0.789609\pi\)
\(600\) 1.74335 2.69871i 0.0711718 0.110174i
\(601\) −16.9272 + 9.77294i −0.690476 + 0.398646i −0.803790 0.594913i \(-0.797187\pi\)
0.113314 + 0.993559i \(0.463853\pi\)
\(602\) 9.59224 3.63914i 0.390951 0.148320i
\(603\) 23.8427 + 2.39004i 0.970950 + 0.0973299i
\(604\) 14.2388 0.579369
\(605\) 9.04564 + 15.6675i 0.367758 + 0.636975i
\(606\) −15.6362 + 24.2050i −0.635179 + 0.983260i
\(607\) 7.87162i 0.319499i −0.987158 0.159750i \(-0.948931\pi\)
0.987158 0.159750i \(-0.0510687\pi\)
\(608\) −0.402858 0.697770i −0.0163380 0.0282983i
\(609\) −12.4156 38.4079i −0.503106 1.55637i
\(610\) −14.5616 −0.589581
\(611\) 30.2210 + 0.395142i 1.22261 + 0.0159858i
\(612\) 13.1364 18.2648i 0.531007 0.738313i
\(613\) 24.3919 0.985181 0.492591 0.870261i \(-0.336050\pi\)
0.492591 + 0.870261i \(0.336050\pi\)
\(614\) −1.45209 + 2.51509i −0.0586015 + 0.101501i
\(615\) −17.9113 11.5706i −0.722254 0.466571i
\(616\) −2.33398 0.379030i −0.0940389 0.0152715i
\(617\) 3.90089 + 2.25218i 0.157044 + 0.0906694i 0.576462 0.817124i \(-0.304433\pi\)
−0.419419 + 0.907793i \(0.637766\pi\)
\(618\) 0.745312 14.9075i 0.0299808 0.599669i
\(619\) 4.81682 + 2.78099i 0.193604 + 0.111777i 0.593669 0.804710i \(-0.297679\pi\)
−0.400065 + 0.916487i \(0.631012\pi\)
\(620\) 14.5509 8.40099i 0.584380 0.337392i
\(621\) 17.6720 22.1480i 0.709152 0.888770i
\(622\) −15.7319 + 9.08284i −0.630793 + 0.364189i
\(623\) −25.9596 + 31.8024i −1.04005 + 1.27413i
\(624\) 5.59426 2.77565i 0.223950 0.111115i
\(625\) 6.14230 + 10.6388i 0.245692 + 0.425551i
\(626\) 3.21866 0.128644
\(627\) −0.0622779 + 1.24567i −0.00248714 + 0.0497471i
\(628\) 21.9712i 0.876747i
\(629\) −27.7077 −1.10478
\(630\) 3.63094 13.5998i 0.144660 0.541831i
\(631\) −17.4066 + 30.1491i −0.692944 + 1.20021i 0.277924 + 0.960603i \(0.410354\pi\)
−0.970869 + 0.239612i \(0.922980\pi\)
\(632\) 11.0916 6.40376i 0.441202 0.254728i
\(633\) −30.6959 + 15.7335i −1.22005 + 0.625350i
\(634\) −1.09439 −0.0434639
\(635\) −4.35153 + 7.53707i −0.172685 + 0.299100i
\(636\) −5.44159 0.272056i −0.215773 0.0107877i
\(637\) 19.1049 16.4925i 0.756964 0.653457i
\(638\) 7.87217i 0.311662i
\(639\) 5.56738 + 4.00415i 0.220242 + 0.158402i
\(640\) 1.77344i 0.0701012i
\(641\) 13.1123 7.57036i 0.517903 0.299011i −0.218173 0.975910i \(-0.570010\pi\)
0.736076 + 0.676899i \(0.236676\pi\)
\(642\) −25.1688 + 12.9005i −0.993335 + 0.509143i
\(643\) 17.4033 + 10.0478i 0.686317 + 0.396246i 0.802231 0.597014i \(-0.203646\pi\)
−0.115914 + 0.993259i \(0.536980\pi\)
\(644\) 2.31261 14.2406i 0.0911297 0.561157i
\(645\) 0.594754 11.8961i 0.0234184 0.468409i
\(646\) −6.04238 −0.237734
\(647\) 22.0525 0.866973 0.433486 0.901160i \(-0.357283\pi\)
0.433486 + 0.901160i \(0.357283\pi\)
\(648\) −1.78640 + 8.82093i −0.0701766 + 0.346519i
\(649\) −2.59207 + 1.49653i −0.101748 + 0.0587440i
\(650\) 0.0874392 6.68747i 0.00342965 0.262304i
\(651\) −29.0998 + 32.2210i −1.14051 + 1.26284i
\(652\) 2.74658 + 4.75722i 0.107564 + 0.186307i
\(653\) −30.3575 17.5269i −1.18798 0.685882i −0.230134 0.973159i \(-0.573917\pi\)
−0.957847 + 0.287277i \(0.907250\pi\)
\(654\) 1.01388 + 1.97807i 0.0396458 + 0.0773487i
\(655\) −4.68721 + 8.11849i −0.183145 + 0.317216i
\(656\) 6.94198 0.271039
\(657\) 21.2318 + 15.2703i 0.828333 + 0.595751i
\(658\) −3.55506 + 21.8913i −0.138590 + 0.853411i
\(659\) −6.09325 3.51794i −0.237359 0.137039i 0.376603 0.926375i \(-0.377092\pi\)
−0.613962 + 0.789335i \(0.710425\pi\)
\(660\) −1.48961 + 2.30593i −0.0579830 + 0.0897581i
\(661\) 32.6925i 1.27159i 0.771858 + 0.635795i \(0.219328\pi\)
−0.771858 + 0.635795i \(0.780672\pi\)
\(662\) −18.7294 10.8134i −0.727940 0.420276i
\(663\) 2.94990 46.7407i 0.114565 1.81526i
\(664\) 13.8340i 0.536862i
\(665\) −3.53465 + 1.34099i −0.137068 + 0.0520012i
\(666\) 10.1039 4.55692i 0.391518 0.176577i
\(667\) −48.0313 −1.85978
\(668\) 2.92252 5.06195i 0.113076 0.195853i
\(669\) −6.17836 12.0539i −0.238869 0.466032i
\(670\) 14.1651i 0.547247i
\(671\) −7.33828 −0.283291
\(672\) 1.40953 + 4.36041i 0.0543739 + 0.168207i
\(673\) −11.4876 19.8971i −0.442814 0.766976i 0.555083 0.831795i \(-0.312686\pi\)
−0.997897 + 0.0648191i \(0.979353\pi\)
\(674\) 14.6829 + 8.47719i 0.565565 + 0.326529i
\(675\) 7.53410 + 6.01148i 0.289988 + 0.231382i
\(676\) 6.79213 11.0845i 0.261236 0.426328i
\(677\) 0.619754 + 1.07345i 0.0238191 + 0.0412559i 0.877689 0.479230i \(-0.159084\pi\)
−0.853870 + 0.520486i \(0.825751\pi\)
\(678\) −0.488329 + 0.250298i −0.0187542 + 0.00961262i
\(679\) −10.0536 8.20652i −0.385820 0.314937i
\(680\) −11.5179 6.64985i −0.441690 0.255010i
\(681\) 34.9785 17.9286i 1.34038 0.687025i
\(682\) 7.33292 4.23367i 0.280792 0.162115i
\(683\) 1.95788 1.13038i 0.0749160 0.0432528i −0.462074 0.886841i \(-0.652895\pi\)
0.536990 + 0.843589i \(0.319561\pi\)
\(684\) 2.20342 0.993755i 0.0842497 0.0379972i
\(685\) 0.621066 + 0.358572i 0.0237297 + 0.0137003i
\(686\) 9.90393 + 15.6497i 0.378134 + 0.597507i
\(687\) −2.69030 5.24875i −0.102641 0.200252i
\(688\) 1.93884 + 3.35816i 0.0739174 + 0.128029i
\(689\) −9.89553 + 5.54196i −0.376990 + 0.211132i
\(690\) −14.0694 9.08872i −0.535612 0.346002i
\(691\) −40.1735 23.1942i −1.52827 0.882349i −0.999434 0.0336272i \(-0.989294\pi\)
−0.528839 0.848722i \(-0.677373\pi\)
\(692\) −7.29361 12.6329i −0.277262 0.480231i
\(693\) 1.82981 6.85362i 0.0695086 0.260348i
\(694\) 22.1793 0.841915
\(695\) 8.01080i 0.303867i
\(696\) 13.5769 6.95897i 0.514631 0.263779i
\(697\) 26.0303 45.0859i 0.985970 1.70775i
\(698\) 10.5187 0.398139
\(699\) −5.17241 10.0913i −0.195638 0.381689i
\(700\) 4.84422 + 0.786681i 0.183094 + 0.0297338i
\(701\) 41.1479i 1.55413i 0.629418 + 0.777067i \(0.283293\pi\)
−0.629418 + 0.777067i \(0.716707\pi\)
\(702\) 6.61147 + 17.5296i 0.249534 + 0.661614i
\(703\) −2.57802 1.48842i −0.0972318 0.0561368i
\(704\) 0.893720i 0.0336833i
\(705\) 21.6281 + 13.9716i 0.814562 + 0.526201i
\(706\) 21.7956 + 12.5837i 0.820288 + 0.473593i
\(707\) −43.4483 7.05582i −1.63404 0.265362i
\(708\) 4.87240 + 3.14753i 0.183116 + 0.118292i
\(709\) 3.23191 0.121377 0.0606885 0.998157i \(-0.480670\pi\)
0.0606885 + 0.998157i \(0.480670\pi\)
\(710\) 2.02697 3.51081i 0.0760707 0.131758i
\(711\) 15.7966 + 35.0251i 0.592418 + 1.31355i
\(712\) −13.4375 7.75816i −0.503593 0.290749i
\(713\) 25.8313 + 44.7411i 0.967390 + 1.67557i
\(714\) 33.6048 + 7.19580i 1.25763 + 0.269296i
\(715\) −0.0747129 + 5.71415i −0.00279410 + 0.213697i
\(716\) 8.38489 4.84102i 0.313358 0.180917i
\(717\) −4.75888 0.237924i −0.177724 0.00888542i
\(718\) 23.9494 0.893785
\(719\) 23.3708 0.871583 0.435791 0.900048i \(-0.356469\pi\)
0.435791 + 0.900048i \(0.356469\pi\)
\(720\) 5.29377 + 0.530658i 0.197287 + 0.0197765i
\(721\) 21.3175 8.08751i 0.793905 0.301195i
\(722\) 15.8923 + 9.17541i 0.591449 + 0.341473i
\(723\) −4.84267 9.44801i −0.180101 0.351375i
\(724\) −14.0207 + 8.09488i −0.521077 + 0.300844i
\(725\) 16.3388i 0.606808i
\(726\) 9.58761 14.8417i 0.355830 0.550826i
\(727\) 34.2889i 1.27171i −0.771810 0.635853i \(-0.780649\pi\)
0.771810 0.635853i \(-0.219351\pi\)
\(728\) 7.31047 + 6.12838i 0.270944 + 0.227133i
\(729\) −25.7963 7.97194i −0.955418 0.295257i
\(730\) 7.73007 13.3889i 0.286103 0.495544i
\(731\) 29.0802 1.07557
\(732\) 6.48701 + 12.6561i 0.239767 + 0.467784i
\(733\) 19.4049 11.2034i 0.716736 0.413808i −0.0968139 0.995303i \(-0.530865\pi\)
0.813550 + 0.581495i \(0.197532\pi\)
\(734\) 7.14973 12.3837i 0.263901 0.457090i
\(735\) 21.2549 3.24855i 0.784000 0.119825i
\(736\) 5.45295 0.200998
\(737\) 7.13850i 0.262950i
\(738\) −2.07722 + 20.7221i −0.0764636 + 0.762791i
\(739\) −4.78891 −0.176163 −0.0880814 0.996113i \(-0.528074\pi\)
−0.0880814 + 0.996113i \(0.528074\pi\)
\(740\) −3.27611 5.67440i −0.120432 0.208595i
\(741\) 2.78532 4.19045i 0.102321 0.153940i
\(742\) −2.95213 7.78138i −0.108376 0.285663i
\(743\) 37.6419 21.7325i 1.38095 0.797289i 0.388674 0.921375i \(-0.372933\pi\)
0.992272 + 0.124086i \(0.0395998\pi\)
\(744\) −13.7840 8.90433i −0.505344 0.326449i
\(745\) −4.21816 + 2.43536i −0.154542 + 0.0892246i
\(746\) 4.65411 + 2.68705i 0.170399 + 0.0983799i
\(747\) 41.2949 + 4.13948i 1.51090 + 0.151456i
\(748\) −5.80442 3.35118i −0.212230 0.122531i
\(749\) −33.4677 27.3191i −1.22288 0.998216i
\(750\) 11.4255 17.6867i 0.417200 0.645827i
\(751\) −13.8241 + 23.9440i −0.504447 + 0.873728i 0.495539 + 0.868585i \(0.334970\pi\)
−0.999987 + 0.00514292i \(0.998363\pi\)
\(752\) −8.38252 −0.305679
\(753\) −18.3415 11.8485i −0.668402 0.431783i
\(754\) 16.2376 27.2940i 0.591340 0.993989i
\(755\) 25.2516 0.919000
\(756\) −13.4378 + 2.90276i −0.488727 + 0.105572i
\(757\) −12.4453 21.5558i −0.452330 0.783459i 0.546200 0.837655i \(-0.316074\pi\)
−0.998530 + 0.0541956i \(0.982741\pi\)
\(758\) 18.6901i 0.678856i
\(759\) −7.09025 4.58025i −0.257360 0.166252i
\(760\) −0.714442 1.23745i −0.0259155 0.0448870i
\(761\) 35.1534 1.27431 0.637156 0.770735i \(-0.280111\pi\)
0.637156 + 0.770735i \(0.280111\pi\)
\(762\) 8.48937 + 0.424432i 0.307537 + 0.0153755i
\(763\) −2.14706 + 2.63030i −0.0777288 + 0.0952233i
\(764\) −13.6786 + 7.89736i −0.494875 + 0.285716i
\(765\) 23.2965 32.3915i 0.842287 1.17112i
\(766\) −28.4184 16.4074i −1.02680 0.592823i
\(767\) 12.0739 + 0.157868i 0.435964 + 0.00570027i
\(768\) −1.54137 + 0.790045i −0.0556195 + 0.0285083i
\(769\) −21.8138 + 12.5942i −0.786626 + 0.454159i −0.838773 0.544481i \(-0.816727\pi\)
0.0521474 + 0.998639i \(0.483393\pi\)
\(770\) −4.13917 0.672184i −0.149165 0.0242238i
\(771\) −39.6692 25.6260i −1.42865 0.922899i
\(772\) −0.799689 1.38510i −0.0287814 0.0498509i
\(773\) 23.6135 + 40.8998i 0.849318 + 1.47106i 0.881817 + 0.471591i \(0.156320\pi\)
−0.0324991 + 0.999472i \(0.510347\pi\)
\(774\) −10.6044 + 4.78265i −0.381167 + 0.171909i
\(775\) −15.2196 + 8.78703i −0.546704 + 0.315640i
\(776\)