Properties

Label 546.2.u.a.185.10
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 185.10
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.0864870 - 1.72989i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.886718 - 1.53584i) q^{5} +(-0.790045 + 1.54137i) q^{6} +(2.61154 + 0.424103i) q^{7} -1.00000i q^{8} +(-2.98504 + 0.299226i) q^{9} +O(q^{10})\) \(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} +(-0.790045 + 1.54137i) 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} +(1.45489 - 0.939845i) q^{12} +(1.84344 - 3.09866i) q^{13} +(-2.04961 - 1.67305i) q^{14} +(-2.58014 + 1.66675i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.74970 - 6.49467i) q^{17} +(2.73473 + 1.23338i) q^{18} +0.805715i q^{19} +(0.886718 - 1.53584i) q^{20} +(0.507788 - 4.55436i) 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} +(-1.75166 - 2.43551i) q^{36} +(-1.84733 + 3.19966i) q^{37} +(0.402858 - 0.697770i) q^{38} +(-5.51978 - 2.92096i) q^{39} +(-1.53584 + 0.886718i) q^{40} +(3.47099 + 6.01193i) q^{41} +(-2.71693 + 3.69029i) q^{42} +(1.93884 - 3.35816i) q^{43} +(0.773984 - 0.446860i) q^{44} +(3.10645 + 4.31921i) q^{45} +(-2.72647 - 4.72239i) q^{46} +(-4.19126 - 7.25948i) q^{47} +(1.54137 + 0.790045i) q^{48} +(6.64027 + 2.21512i) q^{49} +(-1.60641 + 0.927464i) q^{50} +(-10.9108 + 7.04827i) q^{51} +(3.60524 + 0.0471388i) q^{52} +(2.72420 + 1.57281i) q^{53} +(1.89710 - 4.83746i) 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} +(-2.73352 - 1.40109i) q^{60} +8.21094i q^{61} +(4.73713 + 8.20495i) q^{62} +(-7.92245 - 0.484525i) q^{63} -1.00000 q^{64} +(-6.39366 - 0.0835977i) q^{65} +(1.37756 + 0.706079i) q^{66} -7.98740 q^{67} +(3.74970 - 6.49467i) q^{68} +(4.30807 - 8.40502i) 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} +(-2.85914 - 1.46548i) q^{75} +(-0.697770 + 0.402858i) q^{76} +(0.379030 - 2.33398i) q^{77} +(3.31979 + 5.28952i) 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} +(4.19808 - 1.83742i) q^{84} +(-6.64985 + 11.5179i) q^{85} +(-3.35816 + 1.93884i) q^{86} +(8.27845 + 12.8151i) 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} +(-7.48509 + 14.6034i) q^{93} +8.38252i q^{94} +(1.23745 - 0.714442i) q^{95} +(-0.939845 - 1.45489i) 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 0.596746 0.802430i \(-0.296460\pi\)
−0.993298 + 0.115582i \(0.963127\pi\)
\(6\) −0.790045 + 1.54137i −0.322535 + 0.629263i
\(7\) 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 \(-0.956982\pi\)
0.990882 0.134733i \(-0.0430178\pi\)
\(12\) 1.45489 0.939845i 0.419989 0.271310i
\(13\) 1.84344 3.09866i 0.511280 0.859414i
\(14\) −2.04961 1.67305i −0.547781 0.447142i
\(15\) −2.58014 + 1.66675i −0.666190 + 0.430354i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.74970 6.49467i −0.909436 1.57519i −0.814850 0.579672i \(-0.803181\pi\)
−0.0945862 0.995517i \(-0.530153\pi\)
\(18\) 2.73473 + 1.23338i 0.644583 + 0.290711i
\(19\) 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
\(21\) 0.507788 4.55436i 0.110808 0.993842i
\(22\) −0.446860 + 0.773984i −0.0952709 + 0.165014i
\(23\) 4.72239 + 2.72647i 0.984686 + 0.568509i 0.903682 0.428205i \(-0.140854\pi\)
0.0810046 + 0.996714i \(0.474187\pi\)
\(24\) −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 −0.995992 0.0894452i \(-0.971491\pi\)
−0.420534 + 0.907277i \(0.638157\pi\)
\(30\) 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
\(36\) −1.75166 2.43551i −0.291943 0.405918i
\(37\) −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
\(39\) −5.51978 2.92096i −0.883872 0.467728i
\(40\) −1.53584 + 0.886718i −0.242838 + 0.140202i
\(41\) 3.47099 + 6.01193i 0.542078 + 0.938906i 0.998785 + 0.0492887i \(0.0156954\pi\)
−0.456707 + 0.889617i \(0.650971\pi\)
\(42\) −2.71693 + 3.69029i −0.419232 + 0.569425i
\(43\) 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
\(45\) 3.10645 + 4.31921i 0.463082 + 0.643870i
\(46\) −2.72647 4.72239i −0.401996 0.696278i
\(47\) −4.19126 7.25948i −0.611358 1.05890i −0.991012 0.133775i \(-0.957290\pi\)
0.379653 0.925129i \(-0.376043\pi\)
\(48\) 1.54137 + 0.790045i 0.222478 + 0.114033i
\(49\) 6.64027 + 2.21512i 0.948610 + 0.316446i
\(50\) −1.60641 + 0.927464i −0.227181 + 0.131163i
\(51\) −10.9108 + 7.04827i −1.52781 + 0.986956i
\(52\) 3.60524 + 0.0471388i 0.499957 + 0.00653698i
\(53\) 2.72420 + 1.57281i 0.374197 + 0.216043i 0.675290 0.737552i \(-0.264018\pi\)
−0.301093 + 0.953595i \(0.597352\pi\)
\(54\) 1.89710 4.83746i 0.258162 0.658295i
\(55\) −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 0.736196 0.676769i \(-0.236620\pi\)
−0.954197 + 0.299180i \(0.903287\pi\)
\(60\) −2.73352 1.40109i −0.352896 0.180880i
\(61\) 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
\(63\) −7.92245 0.484525i −0.998135 0.0610444i
\(64\) −1.00000 −0.125000
\(65\) −6.39366 0.0835977i −0.793036 0.0103690i
\(66\) 1.37756 + 0.706079i 0.169565 + 0.0869123i
\(67\) −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
\(69\) 4.30807 8.40502i 0.518631 1.01185i
\(70\) −0.752120 + 4.63139i −0.0898955 + 0.553558i
\(71\) 1.97967 + 1.14296i 0.234943 + 0.135645i 0.612850 0.790199i \(-0.290023\pi\)
−0.377907 + 0.925843i \(0.623356\pi\)
\(72\) 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
\(75\) −2.85914 1.46548i −0.330144 0.169219i
\(76\) −0.697770 + 0.402858i −0.0800397 + 0.0462109i
\(77\) 0.379030 2.33398i 0.0431944 0.265982i
\(78\) 3.31979 + 5.28952i 0.375892 + 0.598920i
\(79\) −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 \(-0.225572\pi\)
0.759237 + 0.650814i \(0.225572\pi\)
\(84\) 4.19808 1.83742i 0.458048 0.200479i
\(85\) −6.64985 + 11.5179i −0.721277 + 1.24929i
\(86\) −3.35816 + 1.93884i −0.362120 + 0.209070i
\(87\) 8.27845 + 12.8151i 0.887543 + 1.37392i
\(88\) −0.893720 −0.0952709
\(89\) 7.75816 13.4375i 0.822363 1.42437i −0.0815547 0.996669i \(-0.525989\pi\)
0.903918 0.427706i \(-0.140678\pi\)
\(90\) −0.530658 5.29377i −0.0559363 0.558013i
\(91\) 6.12838 7.31047i 0.642429 0.766345i
\(92\) 5.45295i 0.568509i
\(93\) −7.48509 + 14.6034i −0.776168 + 1.51430i
\(94\) 8.38252i 0.864591i
\(95\) 1.23745 0.714442i 0.126960 0.0733002i
\(96\) −0.939845 1.45489i −0.0959225 0.148489i
\(97\) −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 \(-0.189636\pi\)
0.827724 + 0.561136i \(0.189636\pi\)
\(102\) 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
\(105\) −7.44502 + 3.25855i −0.726560 + 0.318001i
\(106\) −1.57281 2.72420i −0.152765 0.264597i
\(107\) 14.1412 + 8.16443i 1.36708 + 0.789285i 0.990554 0.137121i \(-0.0437848\pi\)
0.376527 + 0.926406i \(0.377118\pi\)
\(108\) −4.06166 + 3.24081i −0.390834 + 0.311848i
\(109\) −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
\(111\) 5.69484 + 2.91894i 0.540530 + 0.277054i
\(112\) −1.67305 + 2.04961i −0.158089 + 0.193670i
\(113\) 0.274369 + 0.158407i 0.0258105 + 0.0149017i 0.512850 0.858478i \(-0.328590\pi\)
−0.487039 + 0.873380i \(0.661923\pi\)
\(114\) −1.24191 0.636552i −0.116315 0.0596185i
\(115\) 9.67044i 0.901774i
\(116\) −7.62822 4.40416i −0.708263 0.408916i
\(117\) −4.57556 + 9.80124i −0.423010 + 0.906125i
\(118\) 3.34899i 0.308300i
\(119\) −7.03808 18.5513i −0.645179 1.70060i
\(120\) 1.66675 + 2.58014i 0.152153 + 0.235534i
\(121\) 10.2013 0.927388
\(122\) 4.10547 7.11088i 0.371692 0.643789i
\(123\) 10.0998 6.52439i 0.910667 0.588284i
\(124\) 9.47426i 0.850813i
\(125\) −12.1568 −1.08733
\(126\) 6.61878 + 4.38084i 0.589648 + 0.390276i
\(127\) 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
\(129\) −5.97694 3.06354i −0.526240 0.269729i
\(130\) 5.49528 + 3.26923i 0.481968 + 0.286730i
\(131\) −2.64301 4.57783i −0.230921 0.399967i 0.727158 0.686470i \(-0.240841\pi\)
−0.958079 + 0.286503i \(0.907507\pi\)
\(132\) −0.839958 1.30026i −0.0731090 0.113173i
\(133\) −0.341707 + 2.10416i −0.0296297 + 0.182454i
\(134\) 6.91729 + 3.99370i 0.597563 + 0.345003i
\(135\) 7.20310 5.74737i 0.619944 0.494655i
\(136\) −6.49467 + 3.74970i −0.556913 + 0.321534i
\(137\) −0.350205 + 0.202191i −0.0299200 + 0.0172743i −0.514885 0.857259i \(-0.672166\pi\)
0.484965 + 0.874533i \(0.338832\pi\)
\(138\) −7.93341 + 5.12492i −0.675337 + 0.436262i
\(139\) 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
\(141\) −12.1956 + 7.87827i −1.02706 + 0.663470i
\(142\) −1.14296 1.97967i −0.0959152 0.166130i
\(143\) −2.76934 1.64752i −0.231584 0.137773i
\(144\) 1.23338 2.73473i 0.102782 0.227894i
\(145\) 13.5282 + 7.81049i 1.12345 + 0.648626i
\(146\) 4.35881 + 7.54968i 0.360738 + 0.624816i
\(147\) 3.25762 11.6785i 0.268684 0.963228i
\(148\) −3.69465 −0.303699
\(149\) 2.74649i 0.225001i −0.993652 0.112500i \(-0.964114\pi\)
0.993652 0.112500i \(-0.0358860\pi\)
\(150\) 1.74335 + 2.69871i 0.142344 + 0.220349i
\(151\) 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
\(153\) 13.1364 + 18.2648i 1.06201 + 1.47663i
\(154\) −1.49524 + 1.83178i −0.120490 + 0.147609i
\(155\) 16.8020i 1.34957i
\(156\) −0.230262 6.24075i −0.0184357 0.499660i
\(157\) 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
\(159\) 2.48519 4.84859i 0.197088 0.384518i
\(160\) −1.53584 0.886718i −0.121419 0.0701012i
\(161\) 11.1764 + 9.12307i 0.880824 + 0.718999i
\(162\) −8.53235 2.86339i −0.670365 0.224969i
\(163\) 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
\(165\) 1.48961 + 2.30593i 0.115966 + 0.179516i
\(166\) −11.9806 6.91698i −0.929872 0.536862i
\(167\) 2.92252 + 5.06195i 0.226151 + 0.391706i 0.956664 0.291193i \(-0.0940522\pi\)
−0.730513 + 0.682899i \(0.760719\pi\)
\(168\) −4.55436 0.507788i −0.351376 0.0391767i
\(169\) −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 \(-0.312901\pi\)
0.554523 + 0.832168i \(0.312901\pi\)
\(174\) −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
\(177\) −4.87240 + 3.14753i −0.366232 + 0.236583i
\(178\) −13.4375 + 7.75816i −1.00719 + 0.581499i
\(179\) 9.68204i 0.723670i 0.932242 + 0.361835i \(0.117850\pi\)
−0.932242 + 0.361835i \(0.882150\pi\)
\(180\) −2.18732 + 4.84987i −0.163034 + 0.361488i
\(181\) 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
\(186\) 13.7840 8.90433i 1.01069 0.652897i
\(187\) −5.80442 + 3.35118i −0.424461 + 0.245063i
\(188\) 4.19126 7.25948i 0.305679 0.529452i
\(189\) −0.152985 + 13.7469i −0.0111281 + 0.999938i
\(190\) −1.42888 −0.103662
\(191\) 15.7947i 1.14287i −0.820649 0.571433i \(-0.806388\pi\)
0.820649 0.571433i \(-0.193612\pi\)
\(192\) 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
\(195\) 0.408354 + 11.0676i 0.0292428 + 0.792565i
\(196\) 1.40178 + 6.85821i 0.100127 + 0.489872i
\(197\) −3.83872 + 2.21629i −0.273498 + 0.157904i −0.630476 0.776209i \(-0.717140\pi\)
0.356978 + 0.934113i \(0.383807\pi\)
\(198\) 1.10230 2.44409i 0.0783369 0.173694i
\(199\) 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
\(204\) −11.5594 5.92486i −0.809318 0.414823i
\(205\) 6.15558 10.6618i 0.429924 0.744650i
\(206\) −8.61762 −0.600418
\(207\) −14.9124 6.72557i −1.03648 0.467459i
\(208\) 1.76180 + 3.14580i 0.122159 + 0.218122i
\(209\) 0.720084 0.0498092
\(210\) 8.07685 + 0.900529i 0.557356 + 0.0621424i
\(211\) −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
\(213\) 1.80598 3.52346i 0.123744 0.241423i
\(214\) −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
\(219\) −6.88732 + 13.4371i −0.465402 + 0.907995i
\(220\) −1.37261 0.792477i −0.0925414 0.0534288i
\(221\) −27.0372 0.353513i −1.81872 0.0237799i
\(222\) −3.47240 5.37530i −0.233052 0.360766i
\(223\) 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
\(225\) −2.28784 + 5.07273i −0.152522 + 0.338182i
\(226\) −0.158407 0.274369i −0.0105371 0.0182508i
\(227\) −11.3466 19.6528i −0.753098 1.30440i −0.946315 0.323247i \(-0.895225\pi\)
0.193217 0.981156i \(-0.438108\pi\)
\(228\) 0.757248 + 1.17222i 0.0501499 + 0.0776324i
\(229\) 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
\(231\) −4.07032 0.453820i −0.267807 0.0298592i
\(232\) 4.40416 + 7.62822i 0.289147 + 0.500817i
\(233\) −5.66985 + 3.27349i −0.371444 + 0.214453i −0.674089 0.738650i \(-0.735464\pi\)
0.302645 + 0.953103i \(0.402130\pi\)
\(234\) 8.86317 6.20034i 0.579403 0.405329i
\(235\) −7.43293 + 12.8742i −0.484871 + 0.839821i
\(236\) 1.67450 2.90031i 0.109000 0.188794i
\(237\) −18.6335 + 12.0371i −1.21037 + 0.781892i
\(238\) −3.18052 + 19.5850i −0.206163 + 1.26951i
\(239\) 2.75097i 0.177946i 0.996034 + 0.0889729i \(0.0283584\pi\)
−0.996034 + 0.0889729i \(0.971642\pi\)
\(240\) −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 −0.993463 0.114157i \(-0.963583\pi\)
0.595594 + 0.803285i \(0.296917\pi\)
\(252\) −3.54161 7.10331i −0.223101 0.447466i
\(253\) 2.43670 4.22049i 0.153194 0.265340i
\(254\) 4.90746i 0.307921i
\(255\) 20.4998 + 10.5074i 1.28375 + 0.657997i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −13.6331 + 23.6133i −0.850411 + 1.47295i 0.0304278 + 0.999537i \(0.490313\pi\)
−0.880838 + 0.473417i \(0.843020\pi\)
\(258\) 3.64441 + 5.64157i 0.226891 + 0.351229i
\(259\) −6.18135 + 7.57259i −0.384091 + 0.470538i
\(260\) −3.12443 5.57887i −0.193769 0.345987i
\(261\) 21.4527 15.4291i 1.32789 0.955040i
\(262\) 5.28603i 0.326572i
\(263\) 0.562483i 0.0346842i −0.999850 0.0173421i \(-0.994480\pi\)
0.999850 0.0173421i \(-0.00552043\pi\)
\(264\) 0.0772952 + 1.54604i 0.00475719 + 0.0951520i
\(265\) 5.57857i 0.342689i
\(266\) 1.34801 1.65140i 0.0826515 0.101254i
\(267\) −23.9164 12.2586i −1.46366 0.750214i
\(268\) −3.99370 6.91729i −0.243954 0.422541i
\(269\) 1.96598 + 3.40518i 0.119868 + 0.207617i 0.919715 0.392586i \(-0.128420\pi\)
−0.799847 + 0.600204i \(0.795086\pi\)
\(270\) −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
\(273\) −13.1763 9.96917i −0.797468 0.603361i
\(274\) 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
\(279\) 25.9096 + 11.6854i 1.55117 + 0.699586i
\(280\) −4.38697 + 1.66434i −0.262171 + 0.0994635i
\(281\) 6.37716i 0.380429i −0.981743 0.190215i \(-0.939082\pi\)
0.981743 0.190215i \(-0.0609184\pi\)
\(282\) 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
\(285\) −1.34293 2.07886i −0.0795483 0.123141i
\(286\) 1.57455 + 2.81147i 0.0931053 + 0.166245i
\(287\) 6.51495 + 17.1725i 0.384565 + 1.01366i
\(288\) −2.43551 + 1.75166i −0.143514 + 0.103217i
\(289\) −19.6205 + 33.9837i −1.15415 + 1.99904i
\(290\) −7.81049 13.5282i −0.458648 0.794401i
\(291\) −3.87526 + 7.56061i −0.227172 + 0.443211i
\(292\) 8.71762i 0.510160i
\(293\) −6.35235 + 11.0026i −0.371108 + 0.642778i −0.989736 0.142906i \(-0.954355\pi\)
0.618628 + 0.785684i \(0.287689\pi\)
\(294\) −8.66045 + 8.48508i −0.505088 + 0.494860i
\(295\) −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
\(309\) −8.09923 12.5376i −0.460749 0.713242i
\(310\) 8.40099 14.5509i 0.477144 0.826438i
\(311\) 9.08284 15.7319i 0.515040 0.892076i −0.484807 0.874621i \(-0.661110\pi\)
0.999848 0.0174552i \(-0.00555643\pi\)
\(312\) −2.92096 + 5.51978i −0.165367 + 0.312496i
\(313\) 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
\(315\) 6.28082 + 12.5973i 0.353884 + 0.709775i
\(316\) 6.40376 11.0916i 0.360240 0.623953i
\(317\) 0.947773 0.547197i 0.0532322 0.0307336i −0.473148 0.880983i \(-0.656882\pi\)
0.526380 + 0.850249i \(0.323549\pi\)
\(318\) −4.57653 + 2.95640i −0.256639 + 0.165787i
\(319\) 3.93608 + 6.81750i 0.220378 + 0.381706i
\(320\) 0.886718 + 1.53584i 0.0495690 + 0.0858561i
\(321\) 12.9005 25.1688i 0.720037 1.40479i
\(322\) −5.11751 13.4890i −0.285188 0.751713i
\(323\) 5.23286 3.02119i 0.291164 0.168104i
\(324\) 5.95753 + 6.74595i 0.330974 + 0.374775i
\(325\) −3.26801 5.83524i −0.181277 0.323681i
\(326\) −4.75722 2.74658i −0.263478 0.152119i
\(327\) 1.97807 + 1.01388i 0.109388 + 0.0560677i
\(328\) 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
\(333\) 4.55692 10.1039i 0.249718 0.553690i
\(334\) 5.84504i 0.319826i
\(335\) 7.08257 + 12.2674i 0.386962 + 0.670238i
\(336\) 3.69029 + 2.71693i 0.201322 + 0.148221i
\(337\) 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
\(339\) 0.250298 0.488329i 0.0135943 0.0265224i
\(340\) −13.2997 −0.721277
\(341\) −4.23367 + 7.33292i −0.229266 + 0.397100i
\(342\) −0.993755 + 2.20342i −0.0537361 + 0.119147i
\(343\) 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 −0.917308 0.398177i \(-0.869643\pi\)
−0.113822 + 0.993501i \(0.536309\pi\)
\(348\) −6.95897 + 13.5769i −0.373040 + 0.727798i
\(349\) 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
\(351\) 17.3508 + 7.06753i 0.926117 + 0.377237i
\(352\) −0.446860 0.773984i −0.0238177 0.0412535i
\(353\) −25.1674 −1.33952 −0.669762 0.742576i \(-0.733604\pi\)
−0.669762 + 0.742576i \(0.733604\pi\)
\(354\) 5.79339 0.289644i 0.307915 0.0153944i
\(355\) 4.05394i 0.215161i
\(356\) 15.5163 0.822363
\(357\) −31.4831 + 13.7796i −1.66626 + 0.729291i
\(358\) 4.84102 8.38489i 0.255856 0.443155i
\(359\) −20.7408 + 11.9747i −1.09466 + 0.632002i −0.934813 0.355140i \(-0.884433\pi\)
−0.159846 + 0.987142i \(0.551100\pi\)
\(360\) 4.31921 3.10645i 0.227643 0.163724i
\(361\) 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
\(366\) −12.6561 6.48701i −0.661546 0.339082i
\(367\) 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
\(369\) −12.1600 16.9072i −0.633023 0.880156i
\(370\) −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
\(378\) 7.00593 11.8287i 0.360346 0.608400i
\(379\) 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
\(381\) 7.13979 4.61225i 0.365783 0.236293i
\(382\) −7.89736 + 13.6786i −0.404064 + 0.699859i
\(383\) 32.8148 1.67676 0.838379 0.545088i \(-0.183504\pi\)
0.838379 + 0.545088i \(0.183504\pi\)
\(384\) 0.790045 1.54137i 0.0403168 0.0786578i
\(385\) −3.92072 + 1.48746i −0.199818 + 0.0758078i
\(386\) 1.38510 + 0.799689i 0.0704998 + 0.0407031i
\(387\) −4.78265 + 10.6044i −0.243116 + 0.539052i
\(388\) 4.90511i 0.249019i
\(389\) 7.54767 + 4.35765i 0.382682 + 0.220941i 0.678984 0.734153i \(-0.262420\pi\)
−0.296303 + 0.955094i \(0.595754\pi\)
\(390\) 5.18014 9.78897i 0.262307 0.495684i
\(391\) 40.8938i 2.06809i
\(392\) 2.21512 6.64027i 0.111881 0.335384i
\(393\) −7.69056 + 4.96805i −0.387938 + 0.250605i
\(394\) 4.43257 0.223310
\(395\) −11.3566 + 19.6703i −0.571415 + 0.989720i
\(396\) −2.17666 + 1.56549i −0.109381 + 0.0786689i
\(397\) 39.0196i 1.95834i 0.203043 + 0.979170i \(0.434917\pi\)
−0.203043 + 0.979170i \(0.565083\pi\)
\(398\) −12.3701 −0.620056
\(399\) 3.66951 + 0.409133i 0.183705 + 0.0204822i
\(400\) 0.927464 + 1.60641i 0.0463732 + 0.0803207i
\(401\) 6.18619 + 3.57160i 0.308923 + 0.178357i 0.646445 0.762961i \(-0.276255\pi\)
−0.337521 + 0.941318i \(0.609588\pi\)
\(402\) 6.31041 12.3116i 0.314734 0.614045i
\(403\) −29.8041 + 16.6917i −1.48465 + 0.831474i
\(404\) 8.31852 + 14.4081i 0.413862 + 0.716830i
\(405\) −10.5653 11.9635i −0.524994 0.594471i
\(406\) 23.0033 + 3.73564i 1.14163 + 0.185396i
\(407\) 2.85960 + 1.65099i 0.141745 + 0.0818367i
\(408\) 7.04827 + 10.9108i 0.348942 + 0.540163i
\(409\) −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
\(411\) 0.380056 + 0.588329i 0.0187468 + 0.0290201i
\(412\) 7.46308 + 4.30881i 0.367679 + 0.212280i
\(413\) −3.14298 8.28444i −0.154656 0.407651i
\(414\) 9.55169 + 13.2807i 0.469440 + 0.652710i
\(415\) −12.2668 21.2468i −0.602154 1.04296i
\(416\) 0.0471388 3.60524i 0.00231117 0.176762i
\(417\) 3.56872 6.96255i 0.174761 0.340957i
\(418\) −0.623611 0.360042i −0.0305018 0.0176102i
\(419\) −10.6067 18.3714i −0.518172 0.897500i −0.999777 0.0211116i \(-0.993279\pi\)
0.481605 0.876388i \(-0.340054\pi\)
\(420\) −6.54450 4.81831i −0.319339 0.235109i
\(421\) 1.98956 0.0969651 0.0484825 0.998824i \(-0.484561\pi\)
0.0484825 + 0.998824i \(0.484561\pi\)
\(422\) 19.9147i 0.969430i
\(423\) 14.6833 + 20.4157i 0.713927 + 0.992645i
\(424\) 1.57281 2.72420i 0.0763826 0.132299i
\(425\) −13.9108 −0.674775
\(426\) −3.32576 + 2.14841i −0.161133 + 0.104091i
\(427\) −3.48229 + 21.4432i −0.168520 + 1.03771i
\(428\) 16.3289i 0.789285i
\(429\) −2.61052 + 4.93314i −0.126037 + 0.238174i
\(430\) 5.95548 + 3.43840i 0.287199 + 0.165814i
\(431\) 14.5363i 0.700189i 0.936714 + 0.350094i \(0.113850\pi\)
−0.936714 + 0.350094i \(0.886150\pi\)
\(432\) −4.83746 1.89710i −0.232742 0.0912742i
\(433\) 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
\(435\) 12.3413 24.0777i 0.591719 1.15444i
\(436\) −1.28332 −0.0614598
\(437\) −2.19676 + 3.80490i −0.105085 + 0.182013i
\(438\) 12.6831 8.19322i 0.606024 0.391487i
\(439\) 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
\(441\) −20.4843 4.62529i −0.975443 0.220252i
\(442\) 23.2381 + 13.8247i 1.10532 + 0.657575i
\(443\) 31.3793 18.1168i 1.49087 0.860757i 0.490929 0.871200i \(-0.336658\pi\)
0.999945 + 0.0104432i \(0.00332424\pi\)
\(444\) 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 0.986726 0.162397i \(-0.0519225\pi\)
0.352723 + 0.935728i \(0.385256\pi\)
\(450\) 4.51769 3.24920i 0.212966 0.153169i
\(451\) 5.37298 3.10209i 0.253004 0.146072i
\(452\) 0.316814i 0.0149017i
\(453\) −21.9473 11.2493i −1.03117 0.528539i
\(454\) 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
\(459\) 30.4600 24.3042i 1.42175 1.13442i
\(460\) 8.37485 4.83522i 0.390479 0.225443i
\(461\) 16.4579 28.5059i 0.766520 1.32765i −0.172919 0.984936i \(-0.555320\pi\)
0.939439 0.342715i \(-0.111347\pi\)
\(462\) 3.29809 + 2.42818i 0.153441 + 0.112969i
\(463\) −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 0.999814 0.0192723i \(-0.00613493\pi\)
−0.516597 + 0.856228i \(0.672802\pi\)
\(468\) −10.7759 + 0.938071i −0.498116 + 0.0433624i
\(469\) −20.8594 3.38748i −0.963198 0.156419i
\(470\) 12.8742 7.43293i 0.593843 0.342855i
\(471\) 17.3583 33.8658i 0.799827 1.56046i
\(472\) −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
\(477\) −8.60246 3.87976i −0.393880 0.177642i
\(478\) 1.37549 2.38241i 0.0629133 0.108969i
\(479\) −11.8605 −0.541919 −0.270960 0.962591i \(-0.587341\pi\)
−0.270960 + 0.962591i \(0.587341\pi\)
\(480\) −1.40109 + 2.73352i −0.0639509 + 0.124768i
\(481\) 6.50923 + 11.6226i 0.296796 + 0.529947i
\(482\) −6.12961 −0.279196
\(483\) 14.8153 20.1230i 0.674119 0.915627i
\(484\) 5.10063 + 8.83455i 0.231847 + 0.401571i
\(485\) 8.69890i 0.394997i
\(486\) −4.21542 + 15.0077i −0.191215 + 0.680762i
\(487\) 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 0.103699 0.994609i \(-0.466932\pi\)
0.913206 + 0.407498i \(0.133599\pi\)
\(492\) 10.7002 + 5.48448i 0.482401 + 0.247259i
\(493\) 57.2071 + 33.0285i 2.57648 + 1.48753i
\(494\) −1.41951 2.53462i −0.0638667 0.114038i
\(495\) 3.86017 2.77630i 0.173502 0.124785i
\(496\) 8.20495 4.73713i 0.368413 0.212703i
\(497\) 4.68524 + 3.82447i 0.210162 + 0.171551i
\(498\) −10.9295 + 21.3233i −0.489761 + 0.955519i
\(499\) −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
\(501\) 8.50387 5.49343i 0.379925 0.245428i
\(502\) 10.9178 6.30342i 0.487287 0.281335i
\(503\) −4.86978 + 8.43471i −0.217133 + 0.376085i −0.953930 0.300029i \(-0.903004\pi\)
0.736797 + 0.676114i \(0.236337\pi\)
\(504\) −0.484525 + 7.92245i −0.0215824 + 0.352894i
\(505\) −14.7524 25.5518i −0.656471 1.13704i
\(506\) −4.22049 + 2.43670i −0.187624 + 0.108325i
\(507\) −19.2265 + 11.7193i −0.853878 + 0.520472i
\(508\) −2.45373 + 4.24999i −0.108867 + 0.188563i
\(509\) 5.74843 9.95658i 0.254795 0.441318i −0.710045 0.704156i \(-0.751325\pi\)
0.964840 + 0.262839i \(0.0846587\pi\)
\(510\) −12.4997 19.3495i −0.553494 0.856812i
\(511\) −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 −0.824546 0.565794i \(-0.808570\pi\)
0.902265 + 0.431181i \(0.141903\pi\)
\(522\) −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
\(525\) −6.84523 5.03972i −0.298750 0.219951i
\(526\) −0.281241 + 0.487124i −0.0122627 + 0.0212396i
\(527\) 71.0512i 3.09504i
\(528\) 0.706079 1.37756i 0.0307281 0.0599504i
\(529\) 3.36731 + 5.83235i 0.146405 + 0.253580i
\(530\) −2.78928 + 4.83118i −0.121159 + 0.209853i
\(531\) 5.86629 + 8.15650i 0.254575 + 0.353962i
\(532\) −1.99311 + 0.756152i −0.0864121 + 0.0327833i
\(533\) 25.0275 + 0.327237i 1.08406 + 0.0141742i
\(534\) 14.5829 + 22.5745i 0.631065 + 0.976893i
\(535\) 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
\(540\) 8.57892 + 3.36438i 0.369178 + 0.144780i
\(541\) 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
\(546\) 6.42645 + 15.2217i 0.275027 + 0.651429i
\(547\) −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
\(552\) −8.40502 4.30807i −0.357741 0.183364i
\(553\) −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 \(-0.982783\pi\)
0.998537 0.0540637i \(-0.0172174\pi\)
\(558\) −16.5956 23.0746i −0.702550 0.976827i
\(559\) −6.83168 12.1984i −0.288949 0.515937i
\(560\) 4.63139 + 0.752120i 0.195712 + 0.0317829i
\(561\) 6.29918 + 9.75117i 0.265952 + 0.411695i
\(562\) −3.18858 + 5.52278i −0.134502 + 0.232964i
\(563\) −2.09878 3.63519i −0.0884529 0.153205i 0.818404 0.574643i \(-0.194859\pi\)
−0.906857 + 0.421438i \(0.861526\pi\)
\(564\) −12.9206 6.62257i −0.544055 0.278861i
\(565\) 0.561850i 0.0236372i
\(566\) 0.380407 0.658885i 0.0159897 0.0276950i
\(567\) 23.7938 0.924278i 0.999246 0.0388160i
\(568\) 1.14296 1.97967i 0.0479576 0.0830650i
\(569\) −32.1347 18.5530i −1.34716 0.777782i −0.359312 0.933218i \(-0.616989\pi\)
−0.987846 + 0.155435i \(0.950322\pi\)
\(570\) 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
\(582\) 7.13638 4.61005i 0.295812 0.191093i
\(583\) 1.40566 2.43467i 0.0582163 0.100834i
\(584\) −4.35881 + 7.54968i −0.180369 + 0.312408i
\(585\) 19.1104 1.66361i 0.790116 0.0687817i
\(586\) 11.0026 6.35235i 0.454513 0.262413i
\(587\) −13.2127 22.8850i −0.545346 0.944567i −0.998585 0.0531780i \(-0.983065\pi\)
0.453239 0.891389i \(-0.350268\pi\)
\(588\) 11.7427 3.01808i 0.484261 0.124463i
\(589\) 3.81678 6.61085i 0.157268 0.272395i
\(590\) 5.14352 2.96961i 0.211755 0.122257i
\(591\) 4.16593 + 6.44889i 0.171364 + 0.265272i
\(592\) −1.84733 3.19966i −0.0759247 0.131505i
\(593\) −11.1153 19.2523i −0.456451 0.790596i 0.542320 0.840172i \(-0.317546\pi\)
−0.998770 + 0.0495766i \(0.984213\pi\)
\(594\) −4.32333 1.69547i −0.177389 0.0695661i
\(595\) −22.2511 + 27.2592i −0.912207 + 1.11752i
\(596\) 2.37853 1.37324i 0.0974283 0.0562502i
\(597\) −11.6260 17.9970i −0.475819 0.736570i
\(598\) −19.6592 0.257046i −0.803924 0.0105114i
\(599\) 15.9688 + 9.21958i 0.652467 + 0.376702i 0.789401 0.613878i \(-0.210391\pi\)
−0.136934 + 0.990580i \(0.543725\pi\)
\(600\) −1.46548 + 2.85914i −0.0598278 + 0.116724i
\(601\) −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
\(606\) −13.1440 + 25.6439i −0.533939 + 1.04171i
\(607\) 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
\(609\) 16.1846 + 36.9780i 0.655832 + 1.49843i
\(610\) −14.5616 −0.589581
\(611\) −30.2210 0.395142i −1.22261 0.0159858i
\(612\) −9.24963 + 20.5089i −0.373894 + 0.829022i
\(613\) 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
\(615\) −18.9761 9.72636i −0.765189 0.392205i
\(616\) −2.33398 0.379030i −0.0940389 0.0152715i
\(617\) −3.90089 2.25218i −0.157044 0.0906694i 0.419419 0.907793i \(-0.362234\pi\)
−0.576462 + 0.817124i \(0.695567\pi\)
\(618\) 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
\(621\) −10.3448 + 26.3784i −0.415121 + 1.05853i
\(622\) −15.7319 + 9.08284i −0.630793 + 0.364189i
\(623\) 25.9596 31.8024i 1.04005 1.27413i
\(624\) 5.28952 3.31979i 0.211750 0.132898i
\(625\) 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
\(630\) 0.859273 14.0500i 0.0342343 0.559764i
\(631\) −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
\(633\) −28.9735 + 18.7167i −1.15160 + 0.743922i
\(634\) −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
\(639\) −6.25139 2.81942i −0.247301 0.111534i
\(640\) 1.77344i 0.0701012i
\(641\) −13.1123 + 7.57036i −0.517903 + 0.299011i −0.736076 0.676899i \(-0.763324\pi\)
0.218173 + 0.975910i \(0.429990\pi\)
\(642\) −23.7566 + 15.3466i −0.937599 + 0.605682i
\(643\) 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 \(-0.642717\pi\)
−0.433486 + 0.901160i \(0.642717\pi\)
\(648\) −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
\(651\) −25.7409 + 34.9628i −1.00887 + 1.37030i
\(652\) 2.74658 + 4.75722i 0.107564 + 0.186307i
\(653\) 30.3575 + 17.5269i 1.18798 + 0.685882i 0.957847 0.287277i \(-0.0927501\pi\)
0.230134 + 0.973159i \(0.426083\pi\)
\(654\) −1.20612 1.86708i −0.0471631 0.0730087i
\(655\) −4.68721 + 8.11849i −0.183145 + 0.317216i
\(656\) −6.94198 −0.271039
\(657\) 23.8404 + 10.7522i 0.930102 + 0.419482i
\(658\) −3.55506 + 21.8913i −0.138590 + 0.853411i
\(659\) 6.09325 + 3.51794i 0.237359 + 0.137039i 0.613962 0.789335i \(-0.289575\pi\)
−0.376603 + 0.926375i \(0.622908\pi\)
\(660\) −1.25219 + 2.44300i −0.0487412 + 0.0950938i
\(661\) 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
\(663\) 1.72682 + 46.8019i 0.0670643 + 1.81763i
\(664\) 13.8340i 0.536862i
\(665\) 3.53465 1.34099i 0.137068 0.0520012i
\(666\) −8.99836 + 6.47177i −0.348679 + 0.250776i
\(667\) −48.0313 −1.85978
\(668\) −2.92252 + 5.06195i −0.113076 + 0.195853i
\(669\) −7.34984 11.3776i −0.284161 0.439883i
\(670\) 14.1651i 0.547247i
\(671\) 7.33828 0.283291
\(672\) −1.83742 4.19808i −0.0708800 0.161945i
\(673\) −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
\(675\) 8.97314 + 3.51898i 0.345376 + 0.135446i
\(676\) 6.79213 11.0845i 0.261236 0.426328i
\(677\) −0.619754 1.07345i −0.0238191 0.0412559i 0.853870 0.520486i \(-0.174249\pi\)
−0.877689 + 0.479230i \(0.840916\pi\)
\(678\) −0.460929 + 0.297756i −0.0177019 + 0.0114353i
\(679\) −10.0536 8.20652i −0.385820 0.314937i
\(680\) 11.5179 + 6.64985i 0.441690 + 0.255010i
\(681\) −33.0159 + 21.3280i −1.26517 + 0.817291i
\(682\) 7.33292 4.23367i 0.280792 0.162115i
\(683\) −1.95788 + 1.13038i −0.0749160 + 0.0432528i −0.536990 0.843589i \(-0.680439\pi\)
0.462074 + 0.886841i \(0.347105\pi\)
\(684\) 1.96233 1.41134i 0.0750314 0.0539638i
\(685\) 0.621066 + 0.358572i 0.0237297 + 0.0137003i
\(686\) −9.90393 15.6497i −0.378134 0.597507i
\(687\) −3.20040 4.95424i −0.122103 0.189016i
\(688\) 1.93884 + 3.35816i 0.0739174 + 0.128029i
\(689\) 9.89553 5.54196i 0.376990 0.211132i
\(690\) 14.9058 + 7.64009i 0.567452 + 0.290853i
\(691\) −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
\(693\) −0.433029 + 7.08045i −0.0164494 + 0.268964i
\(694\) 22.1793 0.841915
\(695\) 8.01080i 0.303867i
\(696\) 12.8151 8.27845i 0.485755 0.313794i
\(697\) 26.0303 45.0859i 0.985970 1.70775i
\(698\) −10.5187 −0.398139
\(699\) 6.15314 + 9.52510i 0.232733 + 0.360272i
\(700\) 4.84422 + 0.786681i 0.183094 + 0.0297338i
\(701\) 41.1479i 1.55413i −0.629418 0.777067i \(-0.716707\pi\)
0.629418 0.777067i \(-0.283293\pi\)
\(702\) −11.4925 14.7961i −0.433755 0.558441i
\(703\) −2.57802 1.48842i −0.0972318 0.0561368i
\(704\) 0.893720i 0.0336833i
\(705\) 22.9138 + 11.7447i 0.862985 + 0.442331i
\(706\) 21.7956 + 12.5837i 0.820288 + 0.473593i
\(707\) 43.4483 + 7.05582i 1.63404 + 0.265362i
\(708\) −5.16204 2.64586i −0.194001 0.0994373i
\(709\) 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
\(711\) 22.4344 + 31.1928i 0.841355 + 1.16982i
\(712\) −13.4375 7.75816i −0.503593 0.290749i
\(713\) −25.8313 44.7411i −0.967390 1.67557i
\(714\) 34.1549 + 3.80810i 1.27822 + 0.142515i
\(715\) −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 \(-0.643531\pi\)
−0.435791 + 0.900048i \(0.643531\pi\)
\(720\) −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
\(723\) −5.76088 8.91788i −0.214250 0.331659i
\(724\) −14.0207 + 8.09488i −0.521077 + 0.300844i
\(725\) 16.3388i 0.606808i
\(726\) −8.05946 + 15.7239i −0.299115 + 0.583570i
\(727\) 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
\(732\) 7.71701 + 11.9460i 0.285229 + 0.441536i
\(733\) 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
\(735\) −20.8249 + 5.35236i −0.768139 + 0.197425i
\(736\) 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
\(741\) 2.35347 4.44737i 0.0864567 0.163378i
\(742\) −2.95213 7.78138i −0.108376 0.285663i
\(743\) −37.6419 + 21.7325i −1.38095 + 0.797289i −0.992272 0.124086i \(-0.960400\pi\)
−0.388674 + 0.921375i \(0.627067\pi\)
\(744\) 14.6034 + 7.48509i 0.535385 + 0.274417i
\(745\) −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
\(750\) 9.60440 18.7381i 0.350703 0.684219i
\(751\) −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
\(753\) 19.4318 + 9.95997i 0.708136 + 0.362962i
\(754\) 16.2376 27.2940i 0.591340 0.993989i
\(755\) −25.2516 −0.919000
\(756\) −11.9816 + 6.74095i −0.435768 + 0.245166i
\(757\) −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
\(759\) −7.51173 3.85021i −0.272659 0.139754i
\(760\) −0.714442 1.23745i −0.0259155 0.0448870i
\(761\) −35.1534 −1.27431 −0.637156 0.770735i \(-0.719889\pi\)
−0.637156 + 0.770735i \(0.719889\pi\)
\(762\) −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
\(765\) 16.4036 36.3711i 0.593074 1.31500i
\(766\) −28.4184 16.4074i −1.02680 0.592823i
\(767\) −12.0739 0.157868i −0.435964 0.00570027i
\(768\) −1.45489 + 0.939845i −0.0524987 + 0.0339137i
\(769\) −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
\(771\) 42.0274 + 21.5416i 1.51358 + 0.775800i
\(772\) −0.799689 1.38510i −0.0287814 0.0498509i
\(773\) −23.6135 40.8998i −0.849318 1.47106i −0.881817 0.471591i \(-0.843680\pi\)
0.0324991 0.999472i \(-0.489653\pi\)
\(774\) 9.44410 6.79235i 0.339461 0.244146i
\(775\) −15.2196 + 8.78703i −0.546704 + 0.315640i