Properties

Label 546.2.bb.a.269.23
Level $546$
Weight $2$
Character 546.269
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.bb (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 269.23
Character \(\chi\) \(=\) 546.269
Dual form 546.2.bb.a.341.4

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-1.45489 + 0.939845i) q^{3} -1.00000 q^{4} +(-0.886718 - 1.53584i) q^{5} +(-0.939845 - 1.45489i) q^{6} +(-1.67305 + 2.04961i) q^{7} -1.00000i q^{8} +(1.23338 - 2.73473i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-1.45489 + 0.939845i) q^{3} -1.00000 q^{4} +(-0.886718 - 1.53584i) q^{5} +(-0.939845 - 1.45489i) q^{6} +(-1.67305 + 2.04961i) q^{7} -1.00000i q^{8} +(1.23338 - 2.73473i) q^{9} +(1.53584 - 0.886718i) q^{10} +(-0.773984 + 0.446860i) q^{11} +(1.45489 - 0.939845i) q^{12} +(-1.84344 - 3.09866i) q^{13} +(-2.04961 - 1.67305i) q^{14} +(2.73352 + 1.40109i) q^{15} +1.00000 q^{16} +7.49940 q^{17} +(2.73473 + 1.23338i) q^{18} +(-0.697770 - 0.402858i) q^{19} +(0.886718 + 1.53584i) q^{20} +(0.507788 - 4.55436i) q^{21} +(-0.446860 - 0.773984i) q^{22} -5.45295i q^{23} +(0.939845 + 1.45489i) q^{24} +(0.927464 - 1.60641i) q^{25} +(3.09866 - 1.84344i) q^{26} +(0.775795 + 5.13791i) q^{27} +(1.67305 - 2.04961i) q^{28} +(7.62822 + 4.40416i) q^{29} +(-1.40109 + 2.73352i) q^{30} +(-8.20495 - 4.73713i) q^{31} +1.00000i q^{32} +(0.706079 - 1.37756i) q^{33} +7.49940i q^{34} +(4.63139 + 0.752120i) q^{35} +(-1.23338 + 2.73473i) q^{36} +3.69465 q^{37} +(0.402858 - 0.697770i) q^{38} +(5.59426 + 2.77565i) q^{39} +(-1.53584 + 0.886718i) q^{40} +(3.47099 - 6.01193i) q^{41} +(4.55436 + 0.507788i) q^{42} +(1.93884 + 3.35816i) q^{43} +(0.773984 - 0.446860i) q^{44} +(-5.29377 + 0.530658i) q^{45} +5.45295 q^{46} +(-4.19126 - 7.25948i) q^{47} +(-1.45489 + 0.939845i) q^{48} +(-1.40178 - 6.85821i) q^{49} +(1.60641 + 0.927464i) q^{50} +(-10.9108 + 7.04827i) q^{51} +(1.84344 + 3.09866i) q^{52} +(2.72420 + 1.57281i) q^{53} +(-5.13791 + 0.775795i) q^{54} +(1.37261 + 0.792477i) q^{55} +(2.04961 + 1.67305i) q^{56} +(1.39380 - 0.0696839i) q^{57} +(-4.40416 + 7.62822i) q^{58} +3.34899 q^{59} +(-2.73352 - 1.40109i) q^{60} +(-7.11088 - 4.10547i) q^{61} +(4.73713 - 8.20495i) q^{62} +(3.54161 + 7.10331i) q^{63} -1.00000 q^{64} +(-3.12443 + 5.57887i) q^{65} +(1.37756 + 0.706079i) q^{66} +(3.99370 + 6.91729i) q^{67} -7.49940 q^{68} +(5.12492 + 7.93341i) q^{69} +(-0.752120 + 4.63139i) q^{70} +(-1.97967 + 1.14296i) q^{71} +(-2.73473 - 1.23338i) q^{72} +(-7.54968 - 4.35881i) q^{73} +3.69465i q^{74} +(0.160427 + 3.20882i) 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} +(-0.886718 - 1.53584i) q^{80} +(-5.95753 - 6.74595i) q^{81} +(6.01193 + 3.47099i) q^{82} +13.8340 q^{83} +(-0.507788 + 4.55436i) q^{84} +(-6.64985 - 11.5179i) q^{85} +(-3.35816 + 1.93884i) q^{86} +(-15.2374 + 0.761805i) q^{87} +(0.446860 + 0.773984i) q^{88} -15.5163 q^{89} +(-0.530658 - 5.29377i) q^{90} +(9.43523 + 1.40589i) q^{91} +5.45295i q^{92} +(16.3894 - 0.819400i) q^{93} +(7.25948 - 4.19126i) q^{94} +1.42888i q^{95} +(-0.939845 - 1.45489i) q^{96} +(4.24795 - 2.45256i) q^{97} +(6.85821 - 1.40178i) q^{98} +(0.267424 + 2.66779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} + O(q^{10}) \) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} - 2q^{13} + 12q^{15} + 76q^{16} + 18q^{19} - 8q^{21} - 42q^{25} - 10q^{28} - 10q^{30} + 12q^{31} + 72q^{33} - 4q^{36} + 12q^{37} - 42q^{39} + 2q^{42} - 2q^{43} + 8q^{46} - 10q^{49} + 10q^{51} + 2q^{52} - 24q^{55} + 8q^{57} - 8q^{58} - 12q^{60} + 78q^{61} + 2q^{63} - 76q^{64} - 24q^{66} - 48q^{67} + 30q^{69} - 54q^{73} - 18q^{76} - 12q^{78} - 60q^{79} - 4q^{81} - 24q^{82} + 8q^{84} + 8q^{85} - 8q^{91} - 32q^{93} - 24q^{94} + 66q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −1.45489 + 0.939845i −0.839978 + 0.542620i
\(4\) −1.00000 −0.500000
\(5\) −0.886718 1.53584i −0.396552 0.686848i 0.596746 0.802430i \(-0.296460\pi\)
−0.993298 + 0.115582i \(0.963127\pi\)
\(6\) −0.939845 1.45489i −0.383690 0.593954i
\(7\) −1.67305 + 2.04961i −0.632355 + 0.774679i
\(8\) 1.00000i 0.353553i
\(9\) 1.23338 2.73473i 0.411128 0.911578i
\(10\) 1.53584 0.886718i 0.485675 0.280405i
\(11\) −0.773984 + 0.446860i −0.233365 + 0.134733i −0.612123 0.790762i \(-0.709684\pi\)
0.378758 + 0.925496i \(0.376351\pi\)
\(12\) 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
\(15\) 2.73352 + 1.40109i 0.705793 + 0.361761i
\(16\) 1.00000 0.250000
\(17\) 7.49940 1.81887 0.909436 0.415844i \(-0.136514\pi\)
0.909436 + 0.415844i \(0.136514\pi\)
\(18\) 2.73473 + 1.23338i 0.644583 + 0.290711i
\(19\) −0.697770 0.402858i −0.160079 0.0924219i 0.417820 0.908530i \(-0.362794\pi\)
−0.577900 + 0.816108i \(0.696128\pi\)
\(20\) 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
\(23\) 5.45295i 1.13702i −0.822677 0.568509i \(-0.807520\pi\)
0.822677 0.568509i \(-0.192480\pi\)
\(24\) 0.939845 + 1.45489i 0.191845 + 0.296977i
\(25\) 0.927464 1.60641i 0.185493 0.321283i
\(26\) 3.09866 1.84344i 0.607698 0.361529i
\(27\) 0.775795 + 5.13791i 0.149302 + 0.988792i
\(28\) 1.67305 2.04961i 0.316177 0.387339i
\(29\) 7.62822 + 4.40416i 1.41653 + 0.817832i 0.995992 0.0894452i \(-0.0285094\pi\)
0.420534 + 0.907277i \(0.361843\pi\)
\(30\) −1.40109 + 2.73352i −0.255804 + 0.499071i
\(31\) −8.20495 4.73713i −1.47365 0.850813i −0.474092 0.880475i \(-0.657224\pi\)
−0.999560 + 0.0296621i \(0.990557\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 0.706079 1.37756i 0.122913 0.239802i
\(34\) 7.49940i 1.28614i
\(35\) 4.63139 + 0.752120i 0.782849 + 0.127131i
\(36\) −1.23338 + 2.73473i −0.205564 + 0.455789i
\(37\) 3.69465 0.607397 0.303699 0.952768i \(-0.401778\pi\)
0.303699 + 0.952768i \(0.401778\pi\)
\(38\) 0.402858 0.697770i 0.0653521 0.113193i
\(39\) 5.59426 + 2.77565i 0.895799 + 0.444459i
\(40\) −1.53584 + 0.886718i −0.242838 + 0.140202i
\(41\) 3.47099 6.01193i 0.542078 0.938906i −0.456707 0.889617i \(-0.650971\pi\)
0.998785 0.0492887i \(-0.0156954\pi\)
\(42\) 4.55436 + 0.507788i 0.702752 + 0.0783534i
\(43\) 1.93884 + 3.35816i 0.295670 + 0.512115i 0.975140 0.221588i \(-0.0711239\pi\)
−0.679471 + 0.733703i \(0.737791\pi\)
\(44\) 0.773984 0.446860i 0.116682 0.0673667i
\(45\) −5.29377 + 0.530658i −0.789149 + 0.0791058i
\(46\) 5.45295 0.803993
\(47\) −4.19126 7.25948i −0.611358 1.05890i −0.991012 0.133775i \(-0.957290\pi\)
0.379653 0.925129i \(-0.376043\pi\)
\(48\) −1.45489 + 0.939845i −0.209995 + 0.135655i
\(49\) −1.40178 6.85821i −0.200255 0.979744i
\(50\) 1.60641 + 0.927464i 0.227181 + 0.131163i
\(51\) −10.9108 + 7.04827i −1.52781 + 0.986956i
\(52\) 1.84344 + 3.09866i 0.255640 + 0.429707i
\(53\) 2.72420 + 1.57281i 0.374197 + 0.216043i 0.675290 0.737552i \(-0.264018\pi\)
−0.301093 + 0.953595i \(0.597352\pi\)
\(54\) −5.13791 + 0.775795i −0.699181 + 0.105572i
\(55\) 1.37261 + 0.792477i 0.185083 + 0.106858i
\(56\) 2.04961 + 1.67305i 0.273890 + 0.223571i
\(57\) 1.39380 0.0696839i 0.184613 0.00922986i
\(58\) −4.40416 + 7.62822i −0.578294 + 1.00163i
\(59\) 3.34899 0.436002 0.218001 0.975949i \(-0.430046\pi\)
0.218001 + 0.975949i \(0.430046\pi\)
\(60\) −2.73352 1.40109i −0.352896 0.180880i
\(61\) −7.11088 4.10547i −0.910455 0.525652i −0.0298776 0.999554i \(-0.509512\pi\)
−0.880578 + 0.473902i \(0.842845\pi\)
\(62\) 4.73713 8.20495i 0.601616 1.04203i
\(63\) 3.54161 + 7.10331i 0.446202 + 0.894933i
\(64\) −1.00000 −0.125000
\(65\) −3.12443 + 5.57887i −0.387538 + 0.691974i
\(66\) 1.37756 + 0.706079i 0.169565 + 0.0869123i
\(67\) 3.99370 + 6.91729i 0.487908 + 0.845082i 0.999903 0.0139067i \(-0.00442678\pi\)
−0.511995 + 0.858988i \(0.671093\pi\)
\(68\) −7.49940 −0.909436
\(69\) 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 −0.612850 0.790199i \(-0.709977\pi\)
0.377907 + 0.925843i \(0.376644\pi\)
\(72\) −2.73473 1.23338i −0.322291 0.145356i
\(73\) −7.54968 4.35881i −0.883624 0.510160i −0.0117722 0.999931i \(-0.503747\pi\)
−0.871851 + 0.489770i \(0.837081\pi\)
\(74\) 3.69465i 0.429495i
\(75\) 0.160427 + 3.20882i 0.0185245 + 0.370523i
\(76\) 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 \(-0.422745\pi\)
\(80\) −0.886718 1.53584i −0.0991380 0.171712i
\(81\) −5.95753 6.74595i −0.661948 0.749550i
\(82\) 6.01193 + 3.47099i 0.663907 + 0.383307i
\(83\) 13.8340 1.51847 0.759237 0.650814i \(-0.225572\pi\)
0.759237 + 0.650814i \(0.225572\pi\)
\(84\) −0.507788 + 4.55436i −0.0554042 + 0.496921i
\(85\) −6.64985 11.5179i −0.721277 1.24929i
\(86\) −3.35816 + 1.93884i −0.362120 + 0.209070i
\(87\) −15.2374 + 0.761805i −1.63362 + 0.0816740i
\(88\) 0.446860 + 0.773984i 0.0476354 + 0.0825070i
\(89\) −15.5163 −1.64473 −0.822363 0.568963i \(-0.807345\pi\)
−0.822363 + 0.568963i \(0.807345\pi\)
\(90\) −0.530658 5.29377i −0.0559363 0.558013i
\(91\) 9.43523 + 1.40589i 0.989080 + 0.147377i
\(92\) 5.45295i 0.568509i
\(93\) 16.3894 0.819400i 1.69950 0.0849678i
\(94\) 7.25948 4.19126i 0.748758 0.432296i
\(95\) 1.42888i 0.146600i
\(96\) −0.939845 1.45489i −0.0959225 0.148489i
\(97\) 4.24795 2.45256i 0.431314 0.249019i −0.268592 0.963254i \(-0.586558\pi\)
0.699906 + 0.714235i \(0.253225\pi\)
\(98\) 6.85821 1.40178i 0.692784 0.141601i
\(99\) 0.267424 + 2.66779i 0.0268771 + 0.268123i
\(100\) −0.927464 + 1.60641i −0.0927464 + 0.160641i
\(101\) −8.31852 14.4081i −0.827724 1.43366i −0.899820 0.436262i \(-0.856302\pi\)
0.0720963 0.997398i \(-0.477031\pi\)
\(102\) −7.04827 10.9108i −0.697883 1.08033i
\(103\) 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
\(107\) 16.3289i 1.57857i −0.614027 0.789285i \(-0.710451\pi\)
0.614027 0.789285i \(-0.289549\pi\)
\(108\) −0.775795 5.13791i −0.0746509 0.494396i
\(109\) −0.641659 + 1.11139i −0.0614598 + 0.106452i −0.895118 0.445829i \(-0.852909\pi\)
0.833658 + 0.552281i \(0.186242\pi\)
\(110\) −0.792477 + 1.37261i −0.0755597 + 0.130873i
\(111\) −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 −0.512850 0.858478i \(-0.671410\pi\)
0.487039 + 0.873380i \(0.338077\pi\)
\(114\) 0.0696839 + 1.39380i 0.00652650 + 0.130541i
\(115\) −8.37485 + 4.83522i −0.780959 + 0.450887i
\(116\) −7.62822 4.40416i −0.708263 0.408916i
\(117\) −10.7477 + 1.21949i −0.993624 + 0.112742i
\(118\) 3.34899i 0.308300i
\(119\) −12.5469 + 15.3708i −1.15017 + 1.40904i
\(120\) 1.40109 2.73352i 0.127902 0.249535i
\(121\) −5.10063 + 8.83455i −0.463694 + 0.803141i
\(122\) 4.10547 7.11088i 0.371692 0.643789i
\(123\) 0.600391 + 12.0089i 0.0541354 + 1.08280i
\(124\) 8.20495 + 4.73713i 0.736826 + 0.425407i
\(125\) −12.1568 −1.08733
\(126\) −7.10331 + 3.54161i −0.632813 + 0.315512i
\(127\) 2.45373 4.24999i 0.217733 0.377125i −0.736381 0.676567i \(-0.763467\pi\)
0.954115 + 0.299442i \(0.0968003\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −5.97694 3.06354i −0.526240 0.269729i
\(130\) −5.57887 3.12443i −0.489300 0.274031i
\(131\) −2.64301 4.57783i −0.230921 0.399967i 0.727158 0.686470i \(-0.240841\pi\)
−0.958079 + 0.286503i \(0.907507\pi\)
\(132\) −0.706079 + 1.37756i −0.0614563 + 0.119901i
\(133\) 1.99311 0.756152i 0.172824 0.0655667i
\(134\) −6.91729 + 3.99370i −0.597563 + 0.345003i
\(135\) 7.20310 5.74737i 0.619944 0.494655i
\(136\) 7.49940i 0.643068i
\(137\) 0.404382i 0.0345487i −0.999851 0.0172743i \(-0.994501\pi\)
0.999851 0.0172743i \(-0.00549886\pi\)
\(138\) −7.93341 + 5.12492i −0.675337 + 0.436262i
\(139\) −3.91193 + 2.25855i −0.331806 + 0.191568i −0.656642 0.754202i \(-0.728024\pi\)
0.324837 + 0.945770i \(0.394691\pi\)
\(140\) −4.63139 0.752120i −0.391424 0.0635657i
\(141\) 12.9206 + 6.62257i 1.08811 + 0.557721i
\(142\) −1.14296 1.97967i −0.0959152 0.166130i
\(143\) 2.81147 + 1.57455i 0.235107 + 0.131671i
\(144\) 1.23338 2.73473i 0.102782 0.227894i
\(145\) 15.6210i 1.29725i
\(146\) 4.35881 7.54968i 0.360738 0.624816i
\(147\) 8.48508 + 8.66045i 0.699838 + 0.714302i
\(148\) −3.69465 −0.303699
\(149\) 2.37853 + 1.37324i 0.194857 + 0.112500i 0.594254 0.804277i \(-0.297447\pi\)
−0.399398 + 0.916778i \(0.630781\pi\)
\(150\) −3.20882 + 0.160427i −0.261999 + 0.0130988i
\(151\) 7.11941 12.3312i 0.579369 1.00350i −0.416183 0.909281i \(-0.636632\pi\)
0.995552 0.0942159i \(-0.0300344\pi\)
\(152\) −0.402858 + 0.697770i −0.0326761 + 0.0565966i
\(153\) 9.24963 20.5089i 0.747788 1.65804i
\(154\) 2.33398 + 0.379030i 0.188078 + 0.0305431i
\(155\) 16.8020i 1.34957i
\(156\) −5.59426 2.77565i −0.447900 0.222230i
\(157\) 19.0276 + 10.9856i 1.51857 + 0.876747i 0.999761 + 0.0218580i \(0.00695817\pi\)
0.518810 + 0.854889i \(0.326375\pi\)
\(158\) 11.0916 6.40376i 0.882403 0.509456i
\(159\) −5.44159 + 0.272056i −0.431546 + 0.0215754i
\(160\) 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
\(163\) −2.74658 + 4.75722i −0.215129 + 0.372614i −0.953312 0.301986i \(-0.902351\pi\)
0.738183 + 0.674600i \(0.235684\pi\)
\(164\) −3.47099 + 6.01193i −0.271039 + 0.469453i
\(165\) −2.74180 + 0.137078i −0.213449 + 0.0106715i
\(166\) 13.8340i 1.07372i
\(167\) 2.92252 5.06195i 0.226151 0.391706i −0.730513 0.682899i \(-0.760719\pi\)
0.956664 + 0.291193i \(0.0940522\pi\)
\(168\) −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
\(171\) −1.96233 + 1.41134i −0.150063 + 0.107928i
\(172\) −1.93884 3.35816i −0.147835 0.256058i
\(173\) −7.29361 + 12.6329i −0.554523 + 0.960462i 0.443417 + 0.896315i \(0.353766\pi\)
−0.997940 + 0.0641469i \(0.979567\pi\)
\(174\) −0.761805 15.2374i −0.0577523 1.15515i
\(175\) 1.74082 + 4.58856i 0.131594 + 0.346862i
\(176\) −0.773984 + 0.446860i −0.0583412 + 0.0336833i
\(177\) −4.87240 + 3.14753i −0.366232 + 0.236583i
\(178\) 15.5163i 1.16300i
\(179\) 8.38489 4.84102i 0.626716 0.361835i −0.152763 0.988263i \(-0.548817\pi\)
0.779479 + 0.626428i \(0.215484\pi\)
\(180\) 5.29377 0.530658i 0.394575 0.0395529i
\(181\) 16.1898i 1.20338i 0.798731 + 0.601688i \(0.205505\pi\)
−0.798731 + 0.601688i \(0.794495\pi\)
\(182\) −1.40589 + 9.43523i −0.104212 + 0.699385i
\(183\) 14.2040 0.710140i 1.04999 0.0524950i
\(184\) −5.45295 −0.401996
\(185\) −3.27611 5.67440i −0.240865 0.417190i
\(186\) 0.819400 + 16.3894i 0.0600813 + 1.20173i
\(187\) −5.80442 + 3.35118i −0.424461 + 0.245063i
\(188\) 4.19126 + 7.25948i 0.305679 + 0.529452i
\(189\) −11.8287 7.00593i −0.860408 0.509606i
\(190\) −1.42888 −0.103662
\(191\) 13.6786 + 7.89736i 0.989751 + 0.571433i 0.905200 0.424986i \(-0.139721\pi\)
0.0845509 + 0.996419i \(0.473054\pi\)
\(192\) 1.45489 0.939845i 0.104997 0.0678275i
\(193\) 0.799689 + 1.38510i 0.0575629 + 0.0997018i 0.893371 0.449320i \(-0.148334\pi\)
−0.835808 + 0.549022i \(0.815000\pi\)
\(194\) 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 0.630476 0.776209i \(-0.282860\pi\)
−0.356978 + 0.934113i \(0.616193\pi\)
\(198\) −2.66779 + 0.267424i −0.189592 + 0.0190050i
\(199\) 12.3701i 0.876891i 0.898758 + 0.438446i \(0.144471\pi\)
−0.898758 + 0.438446i \(0.855529\pi\)
\(200\) −1.60641 0.927464i −0.113591 0.0655816i
\(201\) −12.3116 6.31041i −0.868390 0.445102i
\(202\) 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
\(205\) −12.3112 −0.859848
\(206\) 4.30881 + 7.46308i 0.300209 + 0.519977i
\(207\) −14.9124 6.72557i −1.03648 0.467459i
\(208\) −1.84344 3.09866i −0.127820 0.214854i
\(209\) 0.720084 0.0498092
\(210\) −3.25855 7.44502i −0.224861 0.513755i
\(211\) −9.95733 + 17.2466i −0.685491 + 1.18731i 0.287791 + 0.957693i \(0.407079\pi\)
−0.973282 + 0.229612i \(0.926254\pi\)
\(212\) −2.72420 1.57281i −0.187098 0.108021i
\(213\) 1.80598 3.52346i 0.123744 0.241423i
\(214\) 16.3289 1.11622
\(215\) 3.43840 5.95548i 0.234497 0.406161i
\(216\) 5.13791 0.775795i 0.349591 0.0527862i
\(217\) 23.4366 8.89145i 1.59098 0.603591i
\(218\) −1.11139 0.641659i −0.0752726 0.0434587i
\(219\) 15.0805 0.753961i 1.01905 0.0509480i
\(220\) −1.37261 0.792477i −0.0925414 0.0534288i
\(221\) −13.8247 23.2381i −0.929952 1.56316i
\(222\) −3.47240 5.37530i −0.233052 0.360766i
\(223\) −6.77255 3.91013i −0.453523 0.261842i 0.255794 0.966731i \(-0.417663\pi\)
−0.709317 + 0.704890i \(0.750997\pi\)
\(224\) −2.04961 1.67305i −0.136945 0.111786i
\(225\) −3.24920 4.51769i −0.216613 0.301179i
\(226\) −0.158407 0.274369i −0.0105371 0.0182508i
\(227\) 22.6931 1.50620 0.753098 0.657909i \(-0.228559\pi\)
0.753098 + 0.657909i \(0.228559\pi\)
\(228\) −1.39380 + 0.0696839i −0.0923066 + 0.00461493i
\(229\) 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
\(231\) 1.64214 + 3.75191i 0.108045 + 0.246857i
\(232\) 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 \(0.402130\pi\)
\(234\) −1.21949 10.7477i −0.0797208 0.702598i
\(235\) −7.43293 + 12.8742i −0.484871 + 0.839821i
\(236\) −3.34899 −0.218001
\(237\) 19.7412 + 10.1185i 1.28233 + 0.657268i
\(238\) −15.3708 12.5469i −0.996343 0.813295i
\(239\) 2.75097i 0.177946i 0.996034 + 0.0889729i \(0.0283584\pi\)
−0.996034 + 0.0889729i \(0.971642\pi\)
\(240\) 2.73352 + 1.40109i 0.176448 + 0.0904402i
\(241\) 6.12961i 0.394843i 0.980319 + 0.197421i \(0.0632567\pi\)
−0.980319 + 0.197421i \(0.936743\pi\)
\(242\) −8.83455 5.10063i −0.567907 0.327881i
\(243\) 15.0077 + 4.21542i 0.962743 + 0.270419i
\(244\) 7.11088 + 4.10547i 0.455228 + 0.262826i
\(245\) −9.29012 + 8.23421i −0.593524 + 0.526064i
\(246\) −12.0089 + 0.600391i −0.765657 + 0.0382795i
\(247\) 0.0379805 + 2.90480i 0.00241664 + 0.184828i
\(248\) −4.73713 + 8.20495i −0.300808 + 0.521015i
\(249\) −20.1268 + 13.0018i −1.27549 + 0.823954i
\(250\) 12.1568i 0.768862i
\(251\) −6.30342 10.9178i −0.397868 0.689128i 0.595594 0.803285i \(-0.296917\pi\)
−0.993463 + 0.114157i \(0.963583\pi\)
\(252\) −3.54161 7.10331i −0.223101 0.447466i
\(253\) 2.43670 + 4.22049i 0.153194 + 0.265340i
\(254\) 4.24999 + 2.45373i 0.266668 + 0.153961i
\(255\) 20.4998 + 10.5074i 1.28375 + 0.657997i
\(256\) 1.00000 0.0625000
\(257\) 27.2662 1.70082 0.850411 0.526120i \(-0.176354\pi\)
0.850411 + 0.526120i \(0.176354\pi\)
\(258\) 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
\(261\) 21.4527 15.4291i 1.32789 0.955040i
\(262\) 4.57783 2.64301i 0.282819 0.163286i
\(263\) −0.487124 + 0.281241i −0.0300374 + 0.0173421i −0.514943 0.857224i \(-0.672187\pi\)
0.484906 + 0.874566i \(0.338854\pi\)
\(264\) −1.37756 0.706079i −0.0847827 0.0434562i
\(265\) 5.57857i 0.342689i
\(266\) 0.756152 + 1.99311i 0.0463627 + 0.122205i
\(267\) 22.5745 14.5829i 1.38153 0.892461i
\(268\) −3.99370 6.91729i −0.243954 0.422541i
\(269\) −3.93196 −0.239736 −0.119868 0.992790i \(-0.538247\pi\)
−0.119868 + 0.992790i \(0.538247\pi\)
\(270\) 5.74737 + 7.20310i 0.349774 + 0.438367i
\(271\) 0.877195i 0.0532858i −0.999645 0.0266429i \(-0.991518\pi\)
0.999645 0.0266429i \(-0.00848170\pi\)
\(272\) 7.49940 0.454718
\(273\) −15.0485 + 6.82224i −0.910776 + 0.412901i
\(274\) 0.404382 0.0244296
\(275\) 1.65779i 0.0999683i
\(276\) −5.12492 7.93341i −0.308484 0.477535i
\(277\) −12.6070 −0.757482 −0.378741 0.925503i \(-0.623643\pi\)
−0.378741 + 0.925503i \(0.623643\pi\)
\(278\) −2.25855 3.91193i −0.135459 0.234622i
\(279\) −23.0746 + 16.5956i −1.38144 + 0.993556i
\(280\) 0.752120 4.63139i 0.0449477 0.276779i
\(281\) 6.37716i 0.380429i −0.981743 0.190215i \(-0.939082\pi\)
0.981743 0.190215i \(-0.0609184\pi\)
\(282\) −6.62257 + 12.9206i −0.394368 + 0.769410i
\(283\) 0.658885 0.380407i 0.0391666 0.0226129i −0.480289 0.877110i \(-0.659468\pi\)
0.519455 + 0.854498i \(0.326135\pi\)
\(284\) 1.97967 1.14296i 0.117472 0.0678223i
\(285\) −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
\(288\) 2.73473 + 1.23338i 0.161146 + 0.0726778i
\(289\) 39.2410 2.30829
\(290\) 15.6210 0.917295
\(291\) −3.87526 + 7.56061i −0.227172 + 0.443211i
\(292\) 7.54968 + 4.35881i 0.441812 + 0.255080i
\(293\) −6.35235 11.0026i −0.371108 0.642778i 0.618628 0.785684i \(-0.287689\pi\)
−0.989736 + 0.142906i \(0.954355\pi\)
\(294\) −8.66045 + 8.48508i −0.505088 + 0.494860i
\(295\) −2.96961 5.14352i −0.172897 0.299467i
\(296\) 3.69465i 0.214747i
\(297\) −2.89638 3.62999i −0.168065 0.210633i
\(298\) −1.37324 + 2.37853i −0.0795499 + 0.137784i
\(299\) −16.8968 + 10.0522i −0.977169 + 0.581334i
\(300\) −0.160427 3.20882i −0.00926227 0.185261i
\(301\) −10.1267 1.64453i −0.583693 0.0947893i
\(302\) 12.3312 + 7.11941i 0.709579 + 0.409676i
\(303\) 25.6439 + 13.1440i 1.47320 + 0.755104i
\(304\) −0.697770 0.402858i −0.0400199 0.0231055i
\(305\) 14.5616i 0.833793i
\(306\) 20.5089 + 9.24963i 1.17241 + 0.528766i
\(307\) 2.90418i 0.165750i 0.996560 + 0.0828751i \(0.0264102\pi\)
−0.996560 + 0.0828751i \(0.973590\pi\)
\(308\) −0.379030 + 2.33398i −0.0215972 + 0.132991i
\(309\) −6.80831 + 13.2830i −0.387311 + 0.755641i
\(310\) −16.8020 −0.954288
\(311\) 9.08284 15.7319i 0.515040 0.892076i −0.484807 0.874621i \(-0.661110\pi\)
0.999848 0.0174552i \(-0.00555643\pi\)
\(312\) 2.77565 5.59426i 0.157140 0.316713i
\(313\) 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
\(315\) 7.76913 11.7380i 0.437741 0.661360i
\(316\) 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 \(0.323549\pi\)
\(318\) −0.272056 5.44159i −0.0152561 0.305149i
\(319\) −7.87217 −0.440757
\(320\) 0.886718 + 1.53584i 0.0495690 + 0.0858561i
\(321\) 15.3466 + 23.7566i 0.856563 + 1.32596i
\(322\) −9.12307 + 11.1764i −0.508409 + 0.622836i
\(323\) −5.23286 3.02119i −0.291164 0.168104i
\(324\) 5.95753 + 6.74595i 0.330974 + 0.374775i
\(325\) −6.68747 + 0.0874392i −0.370954 + 0.00485025i
\(326\) −4.75722 2.74658i −0.263478 0.152119i
\(327\) −0.110990 2.22000i −0.00613778 0.122766i
\(328\) −6.01193 3.47099i −0.331953 0.191653i
\(329\) 21.8913 + 3.55506i 1.20691 + 0.195997i
\(330\) −0.137078 2.74180i −0.00754589 0.150931i
\(331\) 10.8134 18.7294i 0.594360 1.02946i −0.399276 0.916831i \(-0.630739\pi\)
0.993637 0.112632i \(-0.0359281\pi\)
\(332\) −13.8340 −0.759237
\(333\) 4.55692 10.1039i 0.249718 0.553690i
\(334\) 5.06195 + 2.92252i 0.276978 + 0.159913i
\(335\) 7.08257 12.2674i 0.386962 0.670238i
\(336\) 0.507788 4.55436i 0.0277021 0.248460i
\(337\) 16.9544 0.923564 0.461782 0.886993i \(-0.347210\pi\)
0.461782 + 0.886993i \(0.347210\pi\)
\(338\) −11.4244 6.20342i −0.621407 0.337422i
\(339\) 0.250298 0.488329i 0.0135943 0.0265224i
\(340\) 6.64985 + 11.5179i 0.360639 + 0.624645i
\(341\) 8.46733 0.458532
\(342\) −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
\(345\) 7.64009 14.9058i 0.411329 0.802499i
\(346\) −12.6329 7.29361i −0.679149 0.392107i
\(347\) 22.1793i 1.19065i −0.803486 0.595324i \(-0.797024\pi\)
0.803486 0.595324i \(-0.202976\pi\)
\(348\) 15.2374 0.761805i 0.816811 0.0408370i
\(349\) −9.10947 5.25936i −0.487619 0.281527i 0.235967 0.971761i \(-0.424174\pi\)
−0.723586 + 0.690234i \(0.757508\pi\)
\(350\) −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
\(353\) 12.5837 + 21.7956i 0.669762 + 1.16006i 0.977971 + 0.208743i \(0.0669372\pi\)
−0.308209 + 0.951319i \(0.599729\pi\)
\(354\) −3.14753 4.87240i −0.167290 0.258965i
\(355\) 3.51081 + 2.02697i 0.186335 + 0.107580i
\(356\) 15.5163 0.822363
\(357\) 3.80810 34.1549i 0.201546 1.80767i
\(358\) 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 \(0.551100\pi\)
\(360\) 0.530658 + 5.29377i 0.0279681 + 0.279006i
\(361\) −9.17541 15.8923i −0.482916 0.836436i
\(362\) −16.1898 −0.850915
\(363\) −0.882277 17.6471i −0.0463075 0.926231i
\(364\) −9.43523 1.40589i −0.494540 0.0736887i
\(365\) 15.4601i 0.809221i
\(366\) 0.710140 + 14.2040i 0.0371196 + 0.742456i
\(367\) −12.3837 + 7.14973i −0.646423 + 0.373213i −0.787085 0.616845i \(-0.788411\pi\)
0.140661 + 0.990058i \(0.455077\pi\)
\(368\) 5.45295i 0.284254i
\(369\) −12.1600 16.9072i −0.633023 0.880156i
\(370\) 5.67440 3.27611i 0.294998 0.170317i
\(371\) −7.78138 + 2.95213i −0.403989 + 0.153267i
\(372\) −16.3894 + 0.819400i −0.849752 + 0.0424839i
\(373\) −2.68705 + 4.65411i −0.139130 + 0.240981i −0.927168 0.374647i \(-0.877764\pi\)
0.788037 + 0.615627i \(0.211097\pi\)
\(374\) −3.35118 5.80442i −0.173285 0.300139i
\(375\) 17.6867 11.4255i 0.913338 0.590009i
\(376\) −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 −0.519714 0.854341i \(-0.673961\pi\)
0.999737 + 0.0229149i \(0.00729466\pi\)
\(380\) 1.42888i 0.0733002i
\(381\) 0.424432 + 8.48937i 0.0217443 + 0.434924i
\(382\) −7.89736 + 13.6786i −0.404064 + 0.699859i
\(383\) −16.4074 + 28.4184i −0.838379 + 1.45211i 0.0528709 + 0.998601i \(0.483163\pi\)
−0.891250 + 0.453513i \(0.850171\pi\)
\(384\) 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
\(387\) 11.5750 1.16030i 0.588391 0.0589814i
\(388\) −4.24795 + 2.45256i −0.215657 + 0.124510i
\(389\) 7.54767 + 4.35765i 0.382682 + 0.220941i 0.678984 0.734153i \(-0.262420\pi\)
−0.296303 + 0.955094i \(0.595754\pi\)
\(390\) 11.0531 0.697584i 0.559696 0.0353235i
\(391\) 40.8938i 2.06809i
\(392\) −6.85821 + 1.40178i −0.346392 + 0.0708007i
\(393\) 8.14774 + 4.17620i 0.410999 + 0.210661i
\(394\) −2.21629 + 3.83872i −0.111655 + 0.193392i
\(395\) −11.3566 + 19.6703i −0.571415 + 0.989720i
\(396\) −0.267424 2.66779i −0.0134386 0.134061i
\(397\) −33.7920 19.5098i −1.69597 0.979170i −0.949508 0.313744i \(-0.898417\pi\)
−0.746464 0.665426i \(-0.768250\pi\)
\(398\) −12.3701 −0.620056
\(399\) −2.18908 + 2.97333i −0.109591 + 0.148852i
\(400\) 0.927464 1.60641i 0.0463732 0.0803207i
\(401\) 7.14319i 0.356714i −0.983966 0.178357i \(-0.942922\pi\)
0.983966 0.178357i \(-0.0570782\pi\)
\(402\) 6.31041 12.3116i 0.314734 0.614045i
\(403\) 0.446605 + 34.1570i 0.0222470 + 1.70148i
\(404\) 8.31852 + 14.4081i 0.413862 + 0.716830i
\(405\) −5.07804 + 15.1316i −0.252330 + 0.751894i
\(406\) −8.26647 21.7892i −0.410258 1.08138i
\(407\) −2.85960 + 1.65099i −0.141745 + 0.0818367i
\(408\) 7.04827 + 10.9108i 0.348942 + 0.540163i
\(409\) 14.9068i 0.737095i −0.929609 0.368548i \(-0.879855\pi\)
0.929609 0.368548i \(-0.120145\pi\)
\(410\) 12.3112i 0.608004i
\(411\) 0.380056 + 0.588329i 0.0187468 + 0.0290201i
\(412\) −7.46308 + 4.30881i −0.367679 + 0.212280i
\(413\) −5.60304 + 6.86412i −0.275708 + 0.337761i
\(414\) 6.72557 14.9124i 0.330544 0.732902i
\(415\) −12.2668 21.2468i −0.602154 1.04296i
\(416\) 3.09866 1.84344i 0.151924 0.0903823i
\(417\) 3.56872 6.96255i 0.174761 0.340957i
\(418\) 0.720084i 0.0352205i
\(419\) −10.6067 + 18.3714i −0.518172 + 0.897500i 0.481605 + 0.876388i \(0.340054\pi\)
−0.999777 + 0.0211116i \(0.993279\pi\)
\(420\) 7.44502 3.25855i 0.363280 0.159001i
\(421\) 1.98956 0.0969651 0.0484825 0.998824i \(-0.484561\pi\)
0.0484825 + 0.998824i \(0.484561\pi\)
\(422\) −17.2466 9.95733i −0.839551 0.484715i
\(423\) −25.0222 + 2.50827i −1.21662 + 0.121956i
\(424\) 1.57281 2.72420i 0.0763826 0.132299i
\(425\) 6.95542 12.0471i 0.337388 0.584373i
\(426\) 3.52346 + 1.80598i 0.170712 + 0.0875001i
\(427\) 20.3115 7.70585i 0.982942 0.372912i
\(428\) 16.3289i 0.789285i
\(429\) −5.57020 + 0.351546i −0.268932 + 0.0169728i
\(430\) 5.95548 + 3.43840i 0.287199 + 0.165814i
\(431\) 12.5888 7.26815i 0.606381 0.350094i −0.165167 0.986266i \(-0.552816\pi\)
0.771548 + 0.636171i \(0.219483\pi\)
\(432\) 0.775795 + 5.13791i 0.0373255 + 0.247198i
\(433\) −1.17784 + 0.680025i −0.0566033 + 0.0326799i −0.528035 0.849223i \(-0.677071\pi\)
0.471431 + 0.881903i \(0.343738\pi\)
\(434\) 8.89145 + 23.4366i 0.426803 + 1.12499i
\(435\) 14.6813 + 22.7267i 0.703914 + 1.08966i
\(436\) 0.641659 1.11139i 0.0307299 0.0532258i
\(437\) −2.19676 + 3.80490i −0.105085 + 0.182013i
\(438\) 0.753961 + 15.0805i 0.0360257 + 0.720576i
\(439\) 29.8566i 1.42498i −0.701684 0.712488i \(-0.747568\pi\)
0.701684 0.712488i \(-0.252432\pi\)
\(440\) 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 \(0.00332424\pi\)
\(444\) 5.37530 3.47240i 0.255100 0.164793i
\(445\) 13.7586 + 23.8306i 0.652220 + 1.12968i
\(446\) 3.91013 6.77255i 0.185150 0.320690i
\(447\) −4.75112 + 0.237535i −0.224720 + 0.0112350i
\(448\) 1.67305 2.04961i 0.0790444 0.0968349i
\(449\) −28.3824 + 16.3866i −1.33945 + 0.773331i −0.986726 0.162397i \(-0.948078\pi\)
−0.352723 + 0.935728i \(0.614744\pi\)
\(450\) 4.51769 3.24920i 0.212966 0.153169i
\(451\) 6.20419i 0.292144i
\(452\) 0.274369 0.158407i 0.0129052 0.00745085i
\(453\) 1.23147 + 24.6316i 0.0578596 + 1.15729i
\(454\) 22.6931i 1.06504i
\(455\) −6.20716 15.7376i −0.290996 0.737791i
\(456\) −0.0696839 1.39380i −0.00326325 0.0652706i
\(457\) −10.8965 −0.509718 −0.254859 0.966978i \(-0.582029\pi\)
−0.254859 + 0.966978i \(0.582029\pi\)
\(458\) 1.70262 + 2.94903i 0.0795584 + 0.137799i
\(459\) 5.81800 + 38.5313i 0.271561 + 1.79849i
\(460\) 8.37485 4.83522i 0.390479 0.225443i
\(461\) 16.4579 + 28.5059i 0.766520 + 1.32765i 0.939439 + 0.342715i \(0.111347\pi\)
−0.172919 + 0.984936i \(0.555320\pi\)
\(462\) −3.75191 + 1.64214i −0.174555 + 0.0763992i
\(463\) −9.98781 −0.464173 −0.232086 0.972695i \(-0.574555\pi\)
−0.232086 + 0.972695i \(0.574555\pi\)
\(464\) 7.62822 + 4.40416i 0.354131 + 0.204458i
\(465\) −15.7913 24.4449i −0.732302 1.13361i
\(466\) −3.27349 5.66985i −0.151641 0.262651i
\(467\) 10.4424 + 18.0868i 0.483217 + 0.836956i 0.999814 0.0192723i \(-0.00613493\pi\)
−0.516597 + 0.856228i \(0.672802\pi\)
\(468\) 10.7477 1.21949i 0.496812 0.0563711i
\(469\) −20.8594 3.38748i −0.963198 0.156419i
\(470\) −12.8742 7.43293i −0.593843 0.342855i
\(471\) −38.0078 + 1.90023i −1.75131 + 0.0875578i
\(472\) 3.34899i 0.154150i
\(473\) −3.00126 1.73278i −0.137998 0.0796732i
\(474\) −10.1185 + 19.7412i −0.464759 + 0.906741i
\(475\) −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
\(478\) −2.75097 −0.125827
\(479\) 5.93024 + 10.2715i 0.270960 + 0.469316i 0.969108 0.246637i \(-0.0793256\pi\)
−0.698148 + 0.715953i \(0.745992\pi\)
\(480\) −1.40109 + 2.73352i −0.0639509 + 0.124768i
\(481\) −6.81089 11.4485i −0.310550 0.522006i
\(482\) −6.12961 −0.279196
\(483\) −24.8347 2.76894i −1.13002 0.125991i
\(484\) 5.10063 8.83455i 0.231847 0.401571i
\(485\) −7.53347 4.34945i −0.342077 0.197498i
\(486\) −4.21542 + 15.0077i −0.191215 + 0.680762i
\(487\) −18.9879 −0.860422 −0.430211 0.902728i \(-0.641561\pi\)
−0.430211 + 0.902728i \(0.641561\pi\)
\(488\) −4.10547 + 7.11088i −0.185846 + 0.321895i
\(489\) −0.475088 9.50257i −0.0214842 0.429721i
\(490\) −8.23421 9.29012i −0.371983 0.419685i
\(491\) −22.5331 13.0095i −1.01691 0.587111i −0.103699 0.994609i \(-0.533068\pi\)
−0.913206 + 0.407498i \(0.866401\pi\)
\(492\) −0.600391 12.0089i −0.0270677 0.541401i
\(493\) 57.2071 + 33.0285i 2.57648 + 1.48753i
\(494\) −2.90480 + 0.0379805i −0.130693 + 0.00170882i
\(495\) 3.86017 2.77630i 0.173502 0.124785i
\(496\) −8.20495 4.73713i −0.368413 0.212703i
\(497\) 0.969467 5.96978i 0.0434866 0.267781i
\(498\) −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 \(0.911409\pi\)
\(500\) 12.1568 0.543667
\(501\) 0.505520 + 10.1113i 0.0225850 + 0.451739i
\(502\) 10.9178 6.30342i 0.487287 0.281335i
\(503\) −4.86978 8.43471i −0.217133 0.376085i 0.736797 0.676114i \(-0.236337\pi\)
−0.953930 + 0.300029i \(0.903004\pi\)
\(504\) 7.10331 3.54161i 0.316406 0.157756i
\(505\) −14.7524 + 25.5518i −0.656471 + 1.13704i
\(506\) −4.22049 + 2.43670i −0.187624 + 0.108325i
\(507\) −1.71193 22.4515i −0.0760293 0.997106i
\(508\) −2.45373 + 4.24999i −0.108867 + 0.188563i
\(509\) −11.4969 −0.509590 −0.254795 0.966995i \(-0.582008\pi\)
−0.254795 + 0.966995i \(0.582008\pi\)
\(510\) −10.5074 + 20.4998i −0.465274 + 0.907746i
\(511\) 21.5649 8.18136i 0.953974 0.361922i
\(512\) 1.00000i 0.0441942i
\(513\) 1.52852 3.89762i 0.0674858 0.172084i
\(514\) 27.2662i 1.20266i
\(515\) −13.2353 7.64139i −0.583216 0.336720i
\(516\) 5.97694 + 3.06354i 0.263120 + 0.134865i
\(517\) 6.48794 + 3.74581i 0.285339 + 0.164741i
\(518\) −7.57259 6.18135i −0.332721 0.271593i
\(519\) −1.26161 25.2343i −0.0553783 1.10766i
\(520\) 5.57887 + 3.12443i 0.244650 + 0.137016i
\(521\) 1.77397 3.07261i 0.0777191 0.134613i −0.824546 0.565794i \(-0.808570\pi\)
0.902265 + 0.431181i \(0.141903\pi\)
\(522\) 15.4291 + 21.4527i 0.675316 + 0.938960i
\(523\) 11.9115i 0.520854i 0.965494 + 0.260427i \(0.0838634\pi\)
−0.965494 + 0.260427i \(0.916137\pi\)
\(524\) 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
\(527\) −61.5322 35.5256i −2.68038 1.54752i
\(528\) 0.706079 1.37756i 0.0307281 0.0599504i
\(529\) −6.73462 −0.292809
\(530\) 5.57857 0.242318
\(531\) 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
\(534\) 14.5829 + 22.5745i 0.631065 + 0.976893i
\(535\) −25.0785 + 14.4791i −1.08424 + 0.625985i
\(536\) 6.91729 3.99370i 0.298781 0.172502i
\(537\) −7.64925 + 14.9236i −0.330089 + 0.644002i
\(538\) 3.93196i 0.169519i
\(539\) 4.14962 + 4.68174i 0.178737 + 0.201657i
\(540\) −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 \(0.707762\pi\)
\(542\) 0.877195 0.0376788
\(543\) −15.2159 23.5543i −0.652975 1.01081i
\(544\) 7.49940i 0.321534i
\(545\) 2.27588 0.0974881
\(546\) −6.82224 15.0485i −0.291965 0.644016i
\(547\) −37.3187 −1.59563 −0.797817 0.602899i \(-0.794012\pi\)
−0.797817 + 0.602899i \(0.794012\pi\)
\(548\) 0.404382i 0.0172743i
\(549\) −19.9978 + 14.3828i −0.853486 + 0.613841i
\(550\) −1.65779 −0.0706882
\(551\) −3.54850 6.14618i −0.151171 0.261836i
\(552\) 7.93341 5.12492i 0.337668 0.218131i
\(553\) 33.4473 + 5.43171i 1.42233 + 0.230980i
\(554\) 12.6070i 0.535621i
\(555\) 10.0994 + 5.17656i 0.428697 + 0.219733i
\(556\) 3.91193 2.25855i 0.165903 0.0957840i
\(557\) −2.21001 + 1.27595i −0.0936410 + 0.0540637i −0.546089 0.837727i \(-0.683884\pi\)
0.452448 + 0.891791i \(0.350551\pi\)
\(558\) −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
\(561\) 5.29517 10.3308i 0.223562 0.436168i
\(562\) 6.37716 0.269004
\(563\) 4.19756 0.176906 0.0884529 0.996080i \(-0.471808\pi\)
0.0884529 + 0.996080i \(0.471808\pi\)
\(564\) −12.9206 6.62257i −0.544055 0.278861i
\(565\) 0.486576 + 0.280925i 0.0204704 + 0.0118186i
\(566\) 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
\(569\) 37.1060i 1.55556i 0.628534 + 0.777782i \(0.283655\pi\)
−0.628534 + 0.777782i \(0.716345\pi\)
\(570\) 2.07886 1.34293i 0.0870740 0.0562491i
\(571\) 2.55983 4.43376i 0.107126 0.185547i −0.807479 0.589896i \(-0.799169\pi\)
0.914605 + 0.404349i \(0.132502\pi\)
\(572\) −2.81147 1.57455i −0.117553 0.0658354i
\(573\) −27.3231 + 1.36604i −1.14144 + 0.0570670i
\(574\) −17.1725 + 6.51495i −0.716764 + 0.271929i
\(575\) −8.75969 5.05741i −0.365304 0.210909i
\(576\) −1.23338 + 2.73473i −0.0513909 + 0.113947i
\(577\) −4.55577 2.63028i −0.189659 0.109500i 0.402164 0.915568i \(-0.368258\pi\)
−0.591823 + 0.806068i \(0.701592\pi\)
\(578\) 39.2410i 1.63221i
\(579\) −2.46524 1.26358i −0.102452 0.0525126i
\(580\) 15.6210i 0.648626i
\(581\) −23.1450 + 28.3542i −0.960215 + 1.17633i
\(582\) −7.56061 3.87526i −0.313397 0.160635i
\(583\) −2.81131 −0.116433
\(584\) −4.35881 + 7.54968i −0.180369 + 0.312408i
\(585\) 11.4031 + 15.4254i 0.471461 + 0.637761i
\(586\) 11.0026 6.35235i 0.454513 0.262413i
\(587\) −13.2127 + 22.8850i −0.545346 + 0.944567i 0.453239 + 0.891389i \(0.350268\pi\)
−0.998585 + 0.0531780i \(0.983065\pi\)
\(588\) −8.48508 8.66045i −0.349919 0.357151i
\(589\) 3.81678 + 6.61085i 0.157268 + 0.272395i
\(590\) 5.14352 2.96961i 0.211755 0.122257i
\(591\) −7.66787 + 0.383360i −0.315414 + 0.0157693i
\(592\) 3.69465 0.151849
\(593\) −11.1153 19.2523i −0.456451 0.790596i 0.542320 0.840172i \(-0.317546\pi\)
−0.998770 + 0.0495766i \(0.984213\pi\)
\(594\) 3.62999 2.89638i 0.148940 0.118840i
\(595\) 34.7327 + 5.64045i 1.42390 + 0.231236i
\(596\) −2.37853 1.37324i −0.0974283 0.0562502i
\(597\) −11.6260 17.9970i −0.475819 0.736570i
\(598\) −10.0522 16.8968i −0.411065 0.690963i
\(599\) 15.9688 + 9.21958i 0.652467 + 0.376702i 0.789401 0.613878i \(-0.210391\pi\)
−0.136934 + 0.990580i \(0.543725\pi\)
\(600\) 3.20882 0.160427i 0.131000 0.00654941i
\(601\) 16.9272 + 9.77294i 0.690476 + 0.398646i 0.803790 0.594913i \(-0.202813\pi\)
−0.113314 + 0.993559i \(0.536147\pi\)
\(602\) 1.64453 10.1267i 0.0670262 0.412733i
\(603\) 23.8427 2.39004i 0.970950 0.0973299i
\(604\) −7.11941 + 12.3312i −0.289685 + 0.501748i
\(605\) 18.0913 0.735515
\(606\) −13.1440 + 25.6439i −0.533939 + 1.04171i
\(607\) 6.81702 + 3.93581i 0.276694 + 0.159750i 0.631926 0.775029i \(-0.282265\pi\)
−0.355232 + 0.934778i \(0.615598\pi\)
\(608\) 0.402858 0.697770i 0.0163380 0.0282983i
\(609\) 23.9316 32.5053i 0.969758 1.31718i
\(610\) −14.5616 −0.589581
\(611\) −14.7683 + 26.3698i −0.597462 + 1.06681i
\(612\) −9.24963 + 20.5089i −0.373894 + 0.829022i
\(613\) −12.1960 21.1240i −0.492591 0.853192i 0.507373 0.861727i \(-0.330617\pi\)
−0.999964 + 0.00853454i \(0.997283\pi\)
\(614\) −2.90418 −0.117203
\(615\) 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 −0.419419 0.907793i \(-0.637766\pi\)
0.576462 + 0.817124i \(0.304433\pi\)
\(618\) −13.2830 6.80831i −0.534319 0.273870i
\(619\) 4.81682 + 2.78099i 0.193604 + 0.111777i 0.593669 0.804710i \(-0.297679\pi\)
−0.400065 + 0.916487i \(0.631012\pi\)
\(620\) 16.8020i 0.674784i
\(621\) 28.0168 4.23037i 1.12427 0.169759i
\(622\) 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
\(626\) 1.60933 + 2.78744i 0.0643218 + 0.111409i
\(627\) −1.04764 + 0.676767i −0.0418387 + 0.0270275i
\(628\) −19.0276 10.9856i −0.759286 0.438374i
\(629\) 27.7077 1.10478
\(630\) 11.7380 + 7.76913i 0.467652 + 0.309529i
\(631\) −17.4066 30.1491i −0.692944 1.20021i −0.970869 0.239612i \(-0.922980\pi\)
0.277924 0.960603i \(-0.410354\pi\)
\(632\) −11.0916 + 6.40376i −0.441202 + 0.254728i
\(633\) −1.72236 34.4502i −0.0684576 1.36927i
\(634\) 0.547197 + 0.947773i 0.0217320 + 0.0376409i
\(635\) −8.70306 −0.345371
\(636\) 5.44159 0.272056i 0.215773 0.0107877i
\(637\) −18.6672 + 16.9864i −0.739620 + 0.673025i
\(638\) 7.87217i 0.311662i
\(639\) 0.684008 + 6.82357i 0.0270589 + 0.269936i
\(640\) −1.53584 + 0.886718i −0.0607094 + 0.0350506i
\(641\) 15.1407i 0.598023i −0.954250 0.299011i \(-0.903343\pi\)
0.954250 0.299011i \(-0.0966568\pi\)
\(642\) −23.7566 + 15.3466i −0.937599 + 0.605682i
\(643\) −17.4033 + 10.0478i −0.686317 + 0.396246i −0.802231 0.597014i \(-0.796354\pi\)
0.115914 + 0.993259i \(0.463020\pi\)
\(644\) −11.1764 9.12307i −0.440412 0.359499i
\(645\) 0.594754 + 11.8961i 0.0234184 + 0.468409i
\(646\) 3.02119 5.23286i 0.118867 0.205884i
\(647\) 11.0262 + 19.0980i 0.433486 + 0.750820i 0.997171 0.0751699i \(-0.0239499\pi\)
−0.563684 + 0.825990i \(0.690617\pi\)
\(648\) −6.74595 + 5.95753i −0.265006 + 0.234034i
\(649\) −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
\(653\) 35.0539i 1.37176i −0.727713 0.685882i \(-0.759417\pi\)
0.727713 0.685882i \(-0.240583\pi\)
\(654\) 2.22000 0.110990i 0.0868089 0.00434007i
\(655\) −4.68721 + 8.11849i −0.183145 + 0.317216i
\(656\) 3.47099 6.01193i 0.135519 0.234726i
\(657\) −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 −0.613962 0.789335i \(-0.710425\pi\)
0.376603 + 0.926375i \(0.377092\pi\)
\(660\) 2.74180 0.137078i 0.106724 0.00533575i
\(661\) 28.3125 16.3462i 1.10123 0.635795i 0.164686 0.986346i \(-0.447339\pi\)
0.936544 + 0.350551i \(0.114006\pi\)
\(662\) 18.7294 + 10.8134i 0.727940 + 0.420276i
\(663\) 41.9536 + 20.8157i 1.62934 + 0.808414i
\(664\) 13.8340i 0.536862i
\(665\) −2.92865 2.39060i −0.113568 0.0927035i
\(666\) 10.1039 + 4.55692i 0.391518 + 0.176577i
\(667\) 24.0156 41.5963i 0.929889 1.61061i
\(668\) −2.92252 + 5.06195i −0.113076 + 0.195853i
\(669\) 13.5282 0.676351i 0.523030 0.0261493i
\(670\) 12.2674 + 7.08257i 0.473930 + 0.273623i
\(671\) 7.33828 0.283291
\(672\) 4.55436 + 0.507788i 0.175688 + 0.0195883i
\(673\) −11.4876 + 19.8971i −0.442814 + 0.766976i −0.997897 0.0648191i \(-0.979353\pi\)
0.555083 + 0.831795i \(0.312686\pi\)
\(674\) 16.9544i 0.653058i
\(675\) 8.97314 + 3.51898i 0.345376 + 0.135446i
\(676\) 6.20342 11.4244i 0.238593 0.439401i
\(677\) −0.619754 1.07345i −0.0238191 0.0412559i 0.853870 0.520486i \(-0.174249\pi\)
−0.877689 + 0.479230i \(0.840916\pi\)
\(678\) 0.488329 + 0.250298i 0.0187542 + 0.00961262i
\(679\) −2.08028 + 12.8099i −0.0798336 + 0.491599i
\(680\) −11.5179 + 6.64985i −0.441690 + 0.255010i
\(681\) −33.0159 + 21.3280i −1.26517 + 0.817291i
\(682\) 8.46733i 0.324231i
\(683\) 2.26076i 0.0865056i −0.999064 0.0432528i \(-0.986228\pi\)
0.999064 0.0432528i \(-0.0137721\pi\)
\(684\) 1.96233 1.41134i 0.0750314 0.0539638i
\(685\) −0.621066 + 0.358572i −0.0237297 + 0.0137003i
\(686\) −8.60105 + 16.4019i −0.328389 + 0.626227i
\(687\) −2.69030 + 5.24875i −0.102641 + 0.200252i
\(688\) 1.93884 + 3.35816i 0.0739174 + 0.128029i
\(689\) −0.148281 11.3408i −0.00564907 0.432049i
\(690\) 14.9058 + 7.64009i 0.567452 + 0.290853i
\(691\) 46.3884i 1.76470i 0.470595 + 0.882349i \(0.344039\pi\)
−0.470595 + 0.882349i \(0.655961\pi\)
\(692\) 7.29361 12.6329i 0.277262 0.480231i
\(693\) −5.91534 3.91524i −0.224705 0.148728i
\(694\) 22.1793 0.841915
\(695\) 6.93755 + 4.00540i 0.263156 + 0.151933i
\(696\) 0.761805 + 15.2374i 0.0288761 + 0.577573i
\(697\) 26.0303 45.0859i 0.985970 1.70775i
\(698\) 5.25936 9.10947i 0.199070 0.344799i
\(699\) 5.17241 10.0913i 0.195638 0.381689i
\(700\) −1.74082 4.58856i −0.0657969 0.173431i
\(701\) 41.1479i 1.55413i −0.629418 0.777067i \(-0.716707\pi\)
0.629418 0.777067i \(-0.283293\pi\)
\(702\) 11.8754 + 14.4905i 0.448208 + 0.546909i
\(703\) −2.57802 1.48842i −0.0972318 0.0561368i
\(704\) 0.773984 0.446860i 0.0291706 0.0168417i
\(705\) −1.28570 25.7163i −0.0484224 0.968532i
\(706\) −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
\(709\) −1.61596 + 2.79892i −0.0606885 + 0.105116i −0.894773 0.446521i \(-0.852663\pi\)
0.834085 + 0.551636i \(0.185996\pi\)
\(710\) −2.02697 + 3.51081i −0.0760707 + 0.131758i
\(711\) −38.2309 + 3.83234i −1.43377 + 0.143724i
\(712\) 15.5163i 0.581499i
\(713\) −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
\(717\) −2.58549 4.00235i −0.0965569 0.149471i
\(718\) −11.9747 20.7408i −0.446893 0.774041i
\(719\) 11.6854 20.2397i 0.435791 0.754813i −0.561569 0.827430i \(-0.689802\pi\)
0.997360 + 0.0726175i \(0.0231352\pi\)
\(720\) −5.29377 + 0.530658i −0.197287 + 0.0197765i
\(721\) −3.65476 + 22.5052i −0.136110 + 0.838139i
\(722\) 15.8923 9.17541i 0.591449 0.341473i
\(723\) −5.76088 8.91788i −0.214250 0.331659i
\(724\) 16.1898i 0.601688i
\(725\) 14.1498 8.16940i 0.525511 0.303404i
\(726\) 17.6471 0.882277i 0.654944 0.0327444i
\(727\) 34.2889i 1.27171i −0.771810 0.635853i \(-0.780649\pi\)
0.771810 0.635853i \(-0.219351\pi\)
\(728\) 1.40589 9.43523i 0.0521058 0.349693i
\(729\) −25.7963 + 7.97194i −0.955418 + 0.295257i
\(730\) −15.4601 −0.572205
\(731\) 14.5401 + 25.1842i 0.537785 + 0.931472i
\(732\) −14.2040 + 0.710140i −0.524996 + 0.0262475i
\(733\) 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
\(735\) 5.77719 20.7111i 0.213095 0.763940i
\(736\) 5.45295 0.200998
\(737\) −6.18212 3.56925i −0.227721 0.131475i
\(738\) 16.9072 12.1600i 0.622364 0.447615i
\(739\) 2.39445 + 4.14731i 0.0880814 + 0.152561i 0.906700 0.421776i \(-0.138593\pi\)
−0.818619 + 0.574337i \(0.805260\pi\)
\(740\) 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 0.992272 0.124086i \(-0.0395998\pi\)
0.388674 + 0.921375i \(0.372933\pi\)
\(744\) −0.819400 16.3894i −0.0300407 0.600865i
\(745\) 4.87072i 0.178449i
\(746\) −4.65411 2.68705i −0.170399 0.0983799i
\(747\) 17.0626 37.8322i 0.624287 1.38421i
\(748\) 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
\(751\) 27.6481 1.00889 0.504447 0.863442i \(-0.331696\pi\)
0.504447 + 0.863442i \(0.331696\pi\)
\(752\) −4.19126 7.25948i −0.152840 0.264726i
\(753\) 19.4318 + 9.95997i 0.708136 + 0.362962i
\(754\) 31.7561 0.415214i 1.15649 0.0151212i
\(755\) −25.2516 −0.919000
\(756\) 11.8287 + 7.00593i 0.430204 + 0.254803i
\(757\) −12.4453 + 21.5558i −0.452330 + 0.783459i −0.998530 0.0541956i \(-0.982741\pi\)
0.546200 + 0.837655i \(0.316074\pi\)
\(758\) 16.1861 + 9.34507i 0.587907 + 0.339428i
\(759\) −7.51173 3.85021i −0.272659 0.139754i
\(760\) 1.42888 0.0518311
\(761\) 17.5767 30.4438i 0.637156 1.10359i −0.348899 0.937160i \(-0.613444\pi\)
0.986054 0.166425i \(-0.0532224\pi\)
\(762\) −8.48937 + 0.424432i −0.307537 + 0.0153755i
\(763\) −1.20438 3.17456i −0.0436013 0.114927i
\(764\) −13.6786 7.89736i −0.494875 0.285716i
\(765\) −39.7001 + 3.97962i −1.43536 + 0.143883i
\(766\) −28.4184 16.4074i −1.02680 0.592823i
\(767\) −6.17368 10.3774i −0.222919 0.374706i
\(768\) −1.45489 + 0.939845i −0.0524987 + 0.0339137i
\(769\) 21.8138 + 12.5942i 0.786626 + 0.454159i 0.838773 0.544481i \(-0.183273\pi\)
−0.0521474 + 0.998639i \(0.516607\pi\)
\(770\) −1.48746 3.92072i −0.0536042 0.141293i
\(771\) −39.6692 + 25.6260i −1.42865 + 0.922899i
\(772\) −0.799689 1.38510i −0.0287814 0.0498509i
\(773\) 47.2270 1.69864 0.849318 0.527881i \(-0.177013\pi\)
0.849318 + 0.527881i \(0.177013\pi\)
\(774\) 1.16030 + 11.5750i 0.0417061 + 0.416055i