Properties

Label 91.2.bc.a.6.5
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.5
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.218036 + 0.813723i) q^{2} +(-1.24122 - 0.716618i) q^{3} +(1.11745 - 0.645157i) q^{4} +(1.01306 + 1.01306i) q^{5} +(0.312498 - 1.16626i) q^{6} +(2.43848 + 1.02656i) q^{7} +(1.96000 + 1.96000i) q^{8} +(-0.472916 - 0.819114i) q^{9} +O(q^{10})\) \(q+(0.218036 + 0.813723i) q^{2} +(-1.24122 - 0.716618i) q^{3} +(1.11745 - 0.645157i) q^{4} +(1.01306 + 1.01306i) q^{5} +(0.312498 - 1.16626i) q^{6} +(2.43848 + 1.02656i) q^{7} +(1.96000 + 1.96000i) q^{8} +(-0.472916 - 0.819114i) q^{9} +(-0.603466 + 1.04523i) q^{10} +(-4.68859 + 1.25630i) q^{11} -1.84933 q^{12} +(-1.04975 - 3.44935i) q^{13} +(-0.303657 + 2.20807i) q^{14} +(-0.531452 - 1.98341i) q^{15} +(0.122771 - 0.212645i) q^{16} +(-1.49151 - 2.58338i) q^{17} +(0.563419 - 0.563419i) q^{18} +(-1.62522 + 6.06542i) q^{19} +(1.78562 + 0.478455i) q^{20} +(-2.29104 - 3.02164i) q^{21} +(-2.04457 - 3.54129i) q^{22} +(-1.02242 - 0.590296i) q^{23} +(-1.02822 - 3.83736i) q^{24} -2.94742i q^{25} +(2.57793 - 1.60629i) q^{26} +5.65531i q^{27} +(3.38716 - 0.426080i) q^{28} +(-2.77911 + 4.81356i) q^{29} +(1.49807 - 0.864909i) q^{30} +(-4.79337 - 4.79337i) q^{31} +(5.55461 + 1.48835i) q^{32} +(6.71986 + 1.80058i) q^{33} +(1.77695 - 1.77695i) q^{34} +(1.43036 + 3.51029i) q^{35} +(-1.05692 - 0.610210i) q^{36} +(5.40165 - 1.44737i) q^{37} -5.28993 q^{38} +(-1.16890 + 5.03367i) q^{39} +3.97118i q^{40} +(-4.71621 + 1.26371i) q^{41} +(1.95925 - 2.52310i) q^{42} +(-2.90941 + 1.67975i) q^{43} +(-4.42873 + 4.42873i) q^{44} +(0.350719 - 1.30890i) q^{45} +(0.257412 - 0.960674i) q^{46} +(4.12822 - 4.12822i) q^{47} +(-0.304771 + 0.175960i) q^{48} +(4.89236 + 5.00648i) q^{49} +(2.39839 - 0.642646i) q^{50} +4.27539i q^{51} +(-3.39841 - 3.17721i) q^{52} +5.79315 q^{53} +(-4.60186 + 1.23306i) q^{54} +(-6.02252 - 3.47711i) q^{55} +(2.76736 + 6.79146i) q^{56} +(6.36385 - 6.36385i) q^{57} +(-4.52285 - 1.21190i) q^{58} +(10.7576 + 2.88250i) q^{59} +(-1.87348 - 1.87348i) q^{60} +(7.95118 - 4.59062i) q^{61} +(2.85534 - 4.94560i) q^{62} +(-0.312327 - 2.48287i) q^{63} +4.35335i q^{64} +(2.43094 - 4.55785i) q^{65} +5.86070i q^{66} +(-0.508485 - 1.89769i) q^{67} +(-3.33337 - 1.92452i) q^{68} +(0.846033 + 1.46537i) q^{69} +(-2.54453 + 1.92929i) q^{70} +(-3.19094 - 0.855010i) q^{71} +(0.678548 - 2.53237i) q^{72} +(0.353010 - 0.353010i) q^{73} +(2.35552 + 4.07987i) q^{74} +(-2.11218 + 3.65840i) q^{75} +(2.09705 + 7.82630i) q^{76} +(-12.7227 - 1.74964i) q^{77} +(-4.35088 + 0.146360i) q^{78} -6.95423 q^{79} +(0.339796 - 0.0910481i) q^{80} +(2.63395 - 4.56214i) q^{81} +(-2.05661 - 3.56216i) q^{82} +(-3.22886 - 3.22886i) q^{83} +(-4.50954 - 1.89844i) q^{84} +(1.10612 - 4.12811i) q^{85} +(-2.00121 - 2.00121i) q^{86} +(6.89897 - 3.98312i) q^{87} +(-11.6520 - 6.72727i) q^{88} +(0.0636346 + 0.237487i) q^{89} +1.14155 q^{90} +(0.981174 - 9.48880i) q^{91} -1.52333 q^{92} +(2.51461 + 9.38464i) q^{93} +(4.25933 + 2.45913i) q^{94} +(-7.79107 + 4.49818i) q^{95} +(-5.82791 - 5.82791i) q^{96} +(-2.43374 + 9.08284i) q^{97} +(-3.00718 + 5.07262i) q^{98} +(3.24636 + 3.24636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.218036 + 0.813723i 0.154175 + 0.575389i 0.999175 + 0.0406221i \(0.0129340\pi\)
−0.845000 + 0.534767i \(0.820399\pi\)
\(3\) −1.24122 0.716618i −0.716618 0.413740i 0.0968883 0.995295i \(-0.469111\pi\)
−0.813507 + 0.581555i \(0.802444\pi\)
\(4\) 1.11745 0.645157i 0.558723 0.322579i
\(5\) 1.01306 + 1.01306i 0.453054 + 0.453054i 0.896367 0.443313i \(-0.146197\pi\)
−0.443313 + 0.896367i \(0.646197\pi\)
\(6\) 0.312498 1.16626i 0.127577 0.476123i
\(7\) 2.43848 + 1.02656i 0.921658 + 0.388002i
\(8\) 1.96000 + 1.96000i 0.692963 + 0.692963i
\(9\) −0.472916 0.819114i −0.157639 0.273038i
\(10\) −0.603466 + 1.04523i −0.190833 + 0.330532i
\(11\) −4.68859 + 1.25630i −1.41366 + 0.378790i −0.883231 0.468938i \(-0.844637\pi\)
−0.530431 + 0.847728i \(0.677970\pi\)
\(12\) −1.84933 −0.533855
\(13\) −1.04975 3.44935i −0.291147 0.956678i
\(14\) −0.303657 + 2.20807i −0.0811556 + 0.590133i
\(15\) −0.531452 1.98341i −0.137220 0.512113i
\(16\) 0.122771 0.212645i 0.0306927 0.0531613i
\(17\) −1.49151 2.58338i −0.361745 0.626561i 0.626503 0.779419i \(-0.284486\pi\)
−0.988248 + 0.152858i \(0.951152\pi\)
\(18\) 0.563419 0.563419i 0.132799 0.132799i
\(19\) −1.62522 + 6.06542i −0.372852 + 1.39150i 0.483606 + 0.875286i \(0.339327\pi\)
−0.856458 + 0.516217i \(0.827340\pi\)
\(20\) 1.78562 + 0.478455i 0.399277 + 0.106986i
\(21\) −2.29104 3.02164i −0.499945 0.659377i
\(22\) −2.04457 3.54129i −0.435903 0.755006i
\(23\) −1.02242 0.590296i −0.213190 0.123085i 0.389603 0.920983i \(-0.372612\pi\)
−0.602793 + 0.797898i \(0.705945\pi\)
\(24\) −1.02822 3.83736i −0.209884 0.783297i
\(25\) 2.94742i 0.589485i
\(26\) 2.57793 1.60629i 0.505575 0.315019i
\(27\) 5.65531i 1.08837i
\(28\) 3.38716 0.426080i 0.640113 0.0805216i
\(29\) −2.77911 + 4.81356i −0.516068 + 0.893856i 0.483758 + 0.875202i \(0.339271\pi\)
−0.999826 + 0.0186541i \(0.994062\pi\)
\(30\) 1.49807 0.864909i 0.273508 0.157910i
\(31\) −4.79337 4.79337i −0.860914 0.860914i 0.130530 0.991444i \(-0.458332\pi\)
−0.991444 + 0.130530i \(0.958332\pi\)
\(32\) 5.55461 + 1.48835i 0.981926 + 0.263106i
\(33\) 6.71986 + 1.80058i 1.16978 + 0.313441i
\(34\) 1.77695 1.77695i 0.304744 0.304744i
\(35\) 1.43036 + 3.51029i 0.241775 + 0.593347i
\(36\) −1.05692 0.610210i −0.176153 0.101702i
\(37\) 5.40165 1.44737i 0.888027 0.237946i 0.214160 0.976799i \(-0.431299\pi\)
0.673867 + 0.738853i \(0.264632\pi\)
\(38\) −5.28993 −0.858140
\(39\) −1.16890 + 5.03367i −0.187174 + 0.806033i
\(40\) 3.97118i 0.627899i
\(41\) −4.71621 + 1.26371i −0.736549 + 0.197358i −0.607544 0.794286i \(-0.707845\pi\)
−0.129005 + 0.991644i \(0.541178\pi\)
\(42\) 1.95925 2.52310i 0.302319 0.389323i
\(43\) −2.90941 + 1.67975i −0.443681 + 0.256159i −0.705158 0.709050i \(-0.749124\pi\)
0.261477 + 0.965210i \(0.415790\pi\)
\(44\) −4.42873 + 4.42873i −0.667656 + 0.667656i
\(45\) 0.350719 1.30890i 0.0522822 0.195120i
\(46\) 0.257412 0.960674i 0.0379533 0.141644i
\(47\) 4.12822 4.12822i 0.602163 0.602163i −0.338723 0.940886i \(-0.609995\pi\)
0.940886 + 0.338723i \(0.109995\pi\)
\(48\) −0.304771 + 0.175960i −0.0439899 + 0.0253976i
\(49\) 4.89236 + 5.00648i 0.698908 + 0.715211i
\(50\) 2.39839 0.642646i 0.339183 0.0908839i
\(51\) 4.27539i 0.598674i
\(52\) −3.39841 3.17721i −0.471275 0.440600i
\(53\) 5.79315 0.795751 0.397875 0.917439i \(-0.369748\pi\)
0.397875 + 0.917439i \(0.369748\pi\)
\(54\) −4.60186 + 1.23306i −0.626234 + 0.167799i
\(55\) −6.02252 3.47711i −0.812077 0.468853i
\(56\) 2.76736 + 6.79146i 0.369804 + 0.907547i
\(57\) 6.36385 6.36385i 0.842913 0.842913i
\(58\) −4.52285 1.21190i −0.593880 0.159130i
\(59\) 10.7576 + 2.88250i 1.40053 + 0.375270i 0.878534 0.477681i \(-0.158522\pi\)
0.521992 + 0.852950i \(0.325189\pi\)
\(60\) −1.87348 1.87348i −0.241865 0.241865i
\(61\) 7.95118 4.59062i 1.01804 0.587768i 0.104508 0.994524i \(-0.466673\pi\)
0.913537 + 0.406756i \(0.133340\pi\)
\(62\) 2.85534 4.94560i 0.362629 0.628092i
\(63\) −0.312327 2.48287i −0.0393495 0.312812i
\(64\) 4.35335i 0.544169i
\(65\) 2.43094 4.55785i 0.301521 0.565332i
\(66\) 5.86070i 0.721402i
\(67\) −0.508485 1.89769i −0.0621214 0.231840i 0.927884 0.372869i \(-0.121626\pi\)
−0.990006 + 0.141028i \(0.954959\pi\)
\(68\) −3.33337 1.92452i −0.404231 0.233383i
\(69\) 0.846033 + 1.46537i 0.101850 + 0.176410i
\(70\) −2.54453 + 1.92929i −0.304130 + 0.230594i
\(71\) −3.19094 0.855010i −0.378695 0.101471i 0.0644501 0.997921i \(-0.479471\pi\)
−0.443145 + 0.896450i \(0.646137\pi\)
\(72\) 0.678548 2.53237i 0.0799676 0.298443i
\(73\) 0.353010 0.353010i 0.0413167 0.0413167i −0.686147 0.727463i \(-0.740699\pi\)
0.727463 + 0.686147i \(0.240699\pi\)
\(74\) 2.35552 + 4.07987i 0.273823 + 0.474275i
\(75\) −2.11218 + 3.65840i −0.243893 + 0.422436i
\(76\) 2.09705 + 7.82630i 0.240548 + 0.897738i
\(77\) −12.7227 1.74964i −1.44989 0.199390i
\(78\) −4.35088 + 0.146360i −0.492640 + 0.0165720i
\(79\) −6.95423 −0.782412 −0.391206 0.920303i \(-0.627942\pi\)
−0.391206 + 0.920303i \(0.627942\pi\)
\(80\) 0.339796 0.0910481i 0.0379904 0.0101795i
\(81\) 2.63395 4.56214i 0.292662 0.506905i
\(82\) −2.05661 3.56216i −0.227115 0.393374i
\(83\) −3.22886 3.22886i −0.354413 0.354413i 0.507335 0.861749i \(-0.330631\pi\)
−0.861749 + 0.507335i \(0.830631\pi\)
\(84\) −4.50954 1.89844i −0.492032 0.207137i
\(85\) 1.10612 4.12811i 0.119976 0.447756i
\(86\) −2.00121 2.00121i −0.215796 0.215796i
\(87\) 6.89897 3.98312i 0.739648 0.427036i
\(88\) −11.6520 6.72727i −1.24210 0.717129i
\(89\) 0.0636346 + 0.237487i 0.00674525 + 0.0251736i 0.969216 0.246210i \(-0.0791854\pi\)
−0.962471 + 0.271384i \(0.912519\pi\)
\(90\) 1.14155 0.120330
\(91\) 0.981174 9.48880i 0.102855 0.994696i
\(92\) −1.52333 −0.158819
\(93\) 2.51461 + 9.38464i 0.260752 + 0.973141i
\(94\) 4.25933 + 2.45913i 0.439316 + 0.253639i
\(95\) −7.79107 + 4.49818i −0.799347 + 0.461503i
\(96\) −5.82791 5.82791i −0.594809 0.594809i
\(97\) −2.43374 + 9.08284i −0.247109 + 0.922223i 0.725203 + 0.688535i \(0.241746\pi\)
−0.972312 + 0.233688i \(0.924921\pi\)
\(98\) −3.00718 + 5.07262i −0.303771 + 0.512412i
\(99\) 3.24636 + 3.24636i 0.326272 + 0.326272i
\(100\) −1.90155 3.29359i −0.190155 0.329359i
\(101\) −7.14344 + 12.3728i −0.710799 + 1.23114i 0.253759 + 0.967267i \(0.418333\pi\)
−0.964558 + 0.263872i \(0.915000\pi\)
\(102\) −3.47898 + 0.932190i −0.344470 + 0.0923006i
\(103\) 7.45130 0.734198 0.367099 0.930182i \(-0.380351\pi\)
0.367099 + 0.930182i \(0.380351\pi\)
\(104\) 4.70322 8.81822i 0.461189 0.864698i
\(105\) 0.740146 5.38206i 0.0722309 0.525235i
\(106\) 1.26312 + 4.71402i 0.122685 + 0.457866i
\(107\) 2.34132 4.05528i 0.226344 0.392039i −0.730378 0.683043i \(-0.760656\pi\)
0.956722 + 0.291004i \(0.0939894\pi\)
\(108\) 3.64857 + 6.31950i 0.351083 + 0.608094i
\(109\) −3.04192 + 3.04192i −0.291363 + 0.291363i −0.837619 0.546256i \(-0.816053\pi\)
0.546256 + 0.837619i \(0.316053\pi\)
\(110\) 1.51627 5.65880i 0.144571 0.539546i
\(111\) −7.74185 2.07442i −0.734824 0.196895i
\(112\) 0.517667 0.392500i 0.0489149 0.0370877i
\(113\) 2.02372 + 3.50518i 0.190375 + 0.329740i 0.945375 0.325986i \(-0.105696\pi\)
−0.754999 + 0.655725i \(0.772363\pi\)
\(114\) 6.56597 + 3.79086i 0.614959 + 0.355047i
\(115\) −0.437769 1.63378i −0.0408222 0.152351i
\(116\) 7.17186i 0.665890i
\(117\) −2.32897 + 2.49112i −0.215314 + 0.230304i
\(118\) 9.38223i 0.863705i
\(119\) −0.985039 7.83064i −0.0902983 0.717834i
\(120\) 2.84582 4.92911i 0.259787 0.449964i
\(121\) 10.8783 6.28058i 0.988935 0.570962i
\(122\) 5.46914 + 5.46914i 0.495153 + 0.495153i
\(123\) 6.75945 + 1.81119i 0.609479 + 0.163309i
\(124\) −8.44880 2.26385i −0.758725 0.203300i
\(125\) 8.05121 8.05121i 0.720122 0.720122i
\(126\) 1.95227 0.795504i 0.173922 0.0708691i
\(127\) 10.6871 + 6.17021i 0.948328 + 0.547518i 0.892561 0.450926i \(-0.148906\pi\)
0.0557671 + 0.998444i \(0.482240\pi\)
\(128\) 7.56681 2.02752i 0.668817 0.179209i
\(129\) 4.81496 0.423933
\(130\) 4.23886 + 0.984335i 0.371773 + 0.0863319i
\(131\) 6.71360i 0.586570i −0.956025 0.293285i \(-0.905251\pi\)
0.956025 0.293285i \(-0.0947485\pi\)
\(132\) 8.67073 2.32332i 0.754690 0.202219i
\(133\) −10.1896 + 13.1220i −0.883549 + 1.13782i
\(134\) 1.43333 0.827533i 0.123821 0.0714879i
\(135\) −5.72916 + 5.72916i −0.493088 + 0.493088i
\(136\) 2.14005 7.98678i 0.183508 0.684860i
\(137\) 5.66652 21.1477i 0.484124 1.80677i −0.0998520 0.995002i \(-0.531837\pi\)
0.583976 0.811771i \(-0.301496\pi\)
\(138\) −1.00794 + 1.00794i −0.0858017 + 0.0858017i
\(139\) −3.49682 + 2.01889i −0.296597 + 0.171240i −0.640913 0.767614i \(-0.721444\pi\)
0.344316 + 0.938854i \(0.388111\pi\)
\(140\) 3.86303 + 2.99975i 0.326486 + 0.253525i
\(141\) −8.08239 + 2.16567i −0.680660 + 0.182382i
\(142\) 2.78296i 0.233541i
\(143\) 9.25526 + 14.8538i 0.773964 + 1.24214i
\(144\) −0.232241 −0.0193534
\(145\) −7.69182 + 2.06102i −0.638771 + 0.171158i
\(146\) 0.364221 + 0.210283i 0.0301432 + 0.0174032i
\(147\) −2.48476 9.72009i −0.204939 0.801700i
\(148\) 5.10227 5.10227i 0.419404 0.419404i
\(149\) −2.74006 0.734196i −0.224474 0.0601477i 0.144829 0.989457i \(-0.453737\pi\)
−0.369303 + 0.929309i \(0.620404\pi\)
\(150\) −3.43746 0.921064i −0.280667 0.0752045i
\(151\) 11.8387 + 11.8387i 0.963421 + 0.963421i 0.999354 0.0359335i \(-0.0114404\pi\)
−0.0359335 + 0.999354i \(0.511440\pi\)
\(152\) −15.0736 + 8.70277i −1.22263 + 0.705888i
\(153\) −1.41072 + 2.44344i −0.114050 + 0.197541i
\(154\) −1.35029 10.7342i −0.108809 0.864989i
\(155\) 9.71192i 0.780080i
\(156\) 1.94132 + 6.37898i 0.155430 + 0.510727i
\(157\) 2.86867i 0.228945i −0.993426 0.114472i \(-0.963482\pi\)
0.993426 0.114472i \(-0.0365177\pi\)
\(158\) −1.51628 5.65882i −0.120628 0.450191i
\(159\) −7.19058 4.15148i −0.570250 0.329234i
\(160\) 4.11936 + 7.13494i 0.325664 + 0.564067i
\(161\) −1.88718 2.48900i −0.148731 0.196161i
\(162\) 4.28662 + 1.14860i 0.336789 + 0.0902422i
\(163\) −6.23736 + 23.2781i −0.488548 + 1.82328i 0.0749773 + 0.997185i \(0.476112\pi\)
−0.563525 + 0.826099i \(0.690555\pi\)
\(164\) −4.45482 + 4.45482i −0.347863 + 0.347863i
\(165\) 4.98352 + 8.63170i 0.387966 + 0.671977i
\(166\) 1.92339 3.33141i 0.149284 0.258567i
\(167\) 2.53997 + 9.47931i 0.196549 + 0.733531i 0.991860 + 0.127330i \(0.0406408\pi\)
−0.795311 + 0.606201i \(0.792693\pi\)
\(168\) 1.43198 10.4128i 0.110480 0.803368i
\(169\) −10.7961 + 7.24189i −0.830466 + 0.557069i
\(170\) 3.60031 0.276131
\(171\) 5.73687 1.53719i 0.438709 0.117552i
\(172\) −2.16740 + 3.75405i −0.165263 + 0.286244i
\(173\) −2.61883 4.53595i −0.199106 0.344862i 0.749133 0.662420i \(-0.230471\pi\)
−0.948239 + 0.317558i \(0.897137\pi\)
\(174\) 4.74539 + 4.74539i 0.359747 + 0.359747i
\(175\) 3.02570 7.18723i 0.228721 0.543304i
\(176\) −0.308475 + 1.15124i −0.0232522 + 0.0867783i
\(177\) −11.2869 11.2869i −0.848379 0.848379i
\(178\) −0.179374 + 0.103562i −0.0134447 + 0.00776229i
\(179\) −19.5491 11.2867i −1.46117 0.843605i −0.462101 0.886827i \(-0.652904\pi\)
−0.999065 + 0.0432226i \(0.986238\pi\)
\(180\) −0.452538 1.68890i −0.0337302 0.125883i
\(181\) 22.4803 1.67095 0.835474 0.549530i \(-0.185193\pi\)
0.835474 + 0.549530i \(0.185193\pi\)
\(182\) 7.93519 1.27050i 0.588195 0.0941757i
\(183\) −13.1589 −0.972733
\(184\) −0.846966 3.16092i −0.0624392 0.233026i
\(185\) 6.93846 + 4.00592i 0.510126 + 0.294521i
\(186\) −7.08822 + 4.09239i −0.519733 + 0.300068i
\(187\) 10.2386 + 10.2386i 0.748721 + 0.748721i
\(188\) 1.94971 7.27641i 0.142197 0.530687i
\(189\) −5.80550 + 13.7904i −0.422288 + 1.00310i
\(190\) −5.35901 5.35901i −0.388783 0.388783i
\(191\) −12.3354 21.3655i −0.892557 1.54595i −0.836800 0.547509i \(-0.815576\pi\)
−0.0557571 0.998444i \(-0.517757\pi\)
\(192\) 3.11969 5.40346i 0.225144 0.389961i
\(193\) 3.32194 0.890112i 0.239119 0.0640717i −0.137269 0.990534i \(-0.543833\pi\)
0.376388 + 0.926462i \(0.377166\pi\)
\(194\) −7.92156 −0.568735
\(195\) −6.28357 + 3.91524i −0.449976 + 0.280376i
\(196\) 8.69691 + 2.43813i 0.621208 + 0.174152i
\(197\) −1.03338 3.85664i −0.0736255 0.274774i 0.919293 0.393575i \(-0.128762\pi\)
−0.992918 + 0.118801i \(0.962095\pi\)
\(198\) −1.93382 + 3.34947i −0.137430 + 0.238036i
\(199\) 0.511550 + 0.886031i 0.0362628 + 0.0628091i 0.883587 0.468267i \(-0.155121\pi\)
−0.847324 + 0.531076i \(0.821788\pi\)
\(200\) 5.77694 5.77694i 0.408491 0.408491i
\(201\) −0.728780 + 2.71984i −0.0514042 + 0.191843i
\(202\) −11.6256 3.11506i −0.817972 0.219175i
\(203\) −11.7182 + 8.88485i −0.822457 + 0.623594i
\(204\) 2.75830 + 4.77751i 0.193119 + 0.334493i
\(205\) −6.05801 3.49759i −0.423110 0.244282i
\(206\) 1.62465 + 6.06329i 0.113195 + 0.422450i
\(207\) 1.11664i 0.0776119i
\(208\) −0.862367 0.200256i −0.0597944 0.0138853i
\(209\) 30.4800i 2.10835i
\(210\) 4.54088 0.571211i 0.313351 0.0394173i
\(211\) 2.70061 4.67759i 0.185918 0.322019i −0.757968 0.652292i \(-0.773808\pi\)
0.943885 + 0.330273i \(0.107141\pi\)
\(212\) 6.47353 3.73750i 0.444604 0.256692i
\(213\) 3.34794 + 3.34794i 0.229397 + 0.229397i
\(214\) 3.81037 + 1.02099i 0.260472 + 0.0697932i
\(215\) −4.64909 1.24572i −0.317065 0.0849573i
\(216\) −11.0844 + 11.0844i −0.754197 + 0.754197i
\(217\) −6.76785 16.6092i −0.459432 1.12751i
\(218\) −3.13853 1.81203i −0.212568 0.122726i
\(219\) −0.691136 + 0.185189i −0.0467026 + 0.0125139i
\(220\) −8.97312 −0.604968
\(221\) −7.34527 + 7.85665i −0.494096 + 0.528496i
\(222\) 6.75202i 0.453166i
\(223\) −16.6138 + 4.45165i −1.11254 + 0.298105i −0.767862 0.640616i \(-0.778679\pi\)
−0.344680 + 0.938720i \(0.612013\pi\)
\(224\) 12.0169 + 9.33145i 0.802915 + 0.623484i
\(225\) −2.41428 + 1.39388i −0.160952 + 0.0929256i
\(226\) −2.41100 + 2.41100i −0.160377 + 0.160377i
\(227\) −2.57850 + 9.62310i −0.171141 + 0.638707i 0.826036 + 0.563618i \(0.190591\pi\)
−0.997177 + 0.0750896i \(0.976076\pi\)
\(228\) 3.00557 11.2169i 0.199049 0.742860i
\(229\) −2.94885 + 2.94885i −0.194865 + 0.194865i −0.797795 0.602929i \(-0.794000\pi\)
0.602929 + 0.797795i \(0.294000\pi\)
\(230\) 1.23399 0.712446i 0.0813671 0.0469773i
\(231\) 14.5378 + 11.2890i 0.956519 + 0.742762i
\(232\) −14.8816 + 3.98752i −0.977026 + 0.261793i
\(233\) 6.32614i 0.414439i 0.978294 + 0.207220i \(0.0664414\pi\)
−0.978294 + 0.207220i \(0.933559\pi\)
\(234\) −2.53488 1.35198i −0.165710 0.0883820i
\(235\) 8.36426 0.545624
\(236\) 13.8807 3.71933i 0.903560 0.242108i
\(237\) 8.63172 + 4.98353i 0.560691 + 0.323715i
\(238\) 6.15720 2.50891i 0.399112 0.162629i
\(239\) 7.84175 7.84175i 0.507241 0.507241i −0.406438 0.913679i \(-0.633229\pi\)
0.913679 + 0.406438i \(0.133229\pi\)
\(240\) −0.487009 0.130494i −0.0314363 0.00842332i
\(241\) −13.5060 3.61892i −0.869996 0.233115i −0.203910 0.978990i \(-0.565365\pi\)
−0.666086 + 0.745875i \(0.732032\pi\)
\(242\) 7.48251 + 7.48251i 0.480994 + 0.480994i
\(243\) 8.15430 4.70789i 0.523099 0.302011i
\(244\) 5.92334 10.2595i 0.379203 0.656799i
\(245\) −0.115611 + 10.0281i −0.00738611 + 0.640672i
\(246\) 5.89523i 0.375866i
\(247\) 22.6278 0.761183i 1.43978 0.0484329i
\(248\) 18.7900i 1.19316i
\(249\) 1.69386 + 6.32158i 0.107344 + 0.400614i
\(250\) 8.30691 + 4.79600i 0.525375 + 0.303325i
\(251\) −13.1784 22.8256i −0.831813 1.44074i −0.896599 0.442843i \(-0.853970\pi\)
0.0647865 0.997899i \(-0.479363\pi\)
\(252\) −1.95085 2.57297i −0.122892 0.162082i
\(253\) 5.53531 + 1.48318i 0.348002 + 0.0932468i
\(254\) −2.69066 + 10.0417i −0.168827 + 0.630071i
\(255\) −4.33122 + 4.33122i −0.271231 + 0.271231i
\(256\) 7.65303 + 13.2554i 0.478314 + 0.828465i
\(257\) 5.39025 9.33618i 0.336234 0.582375i −0.647487 0.762077i \(-0.724180\pi\)
0.983721 + 0.179702i \(0.0575133\pi\)
\(258\) 1.04984 + 3.91804i 0.0653599 + 0.243927i
\(259\) 14.6576 + 2.01573i 0.910781 + 0.125251i
\(260\) −0.224087 6.66149i −0.0138973 0.413128i
\(261\) 5.25714 0.325409
\(262\) 5.46301 1.46381i 0.337506 0.0904345i
\(263\) 7.74562 13.4158i 0.477616 0.827254i −0.522055 0.852912i \(-0.674835\pi\)
0.999671 + 0.0256573i \(0.00816786\pi\)
\(264\) 9.64177 + 16.7000i 0.593410 + 1.02782i
\(265\) 5.86881 + 5.86881i 0.360518 + 0.360518i
\(266\) −12.8994 5.43042i −0.790912 0.332960i
\(267\) 0.0912034 0.340376i 0.00558156 0.0208307i
\(268\) −1.79252 1.79252i −0.109495 0.109495i
\(269\) −22.6324 + 13.0668i −1.37992 + 0.796697i −0.992149 0.125060i \(-0.960088\pi\)
−0.387770 + 0.921756i \(0.626754\pi\)
\(270\) −5.91112 3.41279i −0.359739 0.207696i
\(271\) 1.70363 + 6.35804i 0.103488 + 0.386223i 0.998169 0.0604821i \(-0.0192638\pi\)
−0.894681 + 0.446706i \(0.852597\pi\)
\(272\) −0.732458 −0.0444118
\(273\) −8.01770 + 11.0746i −0.485253 + 0.670263i
\(274\) 18.4439 1.11424
\(275\) 3.70286 + 13.8193i 0.223291 + 0.833333i
\(276\) 1.89079 + 1.09165i 0.113812 + 0.0657096i
\(277\) −25.2681 + 14.5885i −1.51821 + 0.876540i −0.518442 + 0.855113i \(0.673488\pi\)
−0.999770 + 0.0214270i \(0.993179\pi\)
\(278\) −2.40525 2.40525i −0.144258 0.144258i
\(279\) −1.65946 + 6.19317i −0.0993490 + 0.370776i
\(280\) −4.07665 + 9.68365i −0.243626 + 0.578709i
\(281\) 8.85369 + 8.85369i 0.528167 + 0.528167i 0.920025 0.391859i \(-0.128168\pi\)
−0.391859 + 0.920025i \(0.628168\pi\)
\(282\) −3.52451 6.10463i −0.209882 0.363526i
\(283\) 15.9706 27.6618i 0.949351 1.64432i 0.202556 0.979271i \(-0.435075\pi\)
0.746795 0.665054i \(-0.231591\pi\)
\(284\) −4.11732 + 1.10323i −0.244318 + 0.0654648i
\(285\) 12.8939 0.763769
\(286\) −10.0689 + 10.7699i −0.595386 + 0.636837i
\(287\) −12.7976 1.75995i −0.755421 0.103886i
\(288\) −1.40773 5.25373i −0.0829514 0.309579i
\(289\) 4.05077 7.01614i 0.238281 0.412714i
\(290\) −3.35420 5.80964i −0.196965 0.341154i
\(291\) 9.52974 9.52974i 0.558643 0.558643i
\(292\) 0.166722 0.622216i 0.00975668 0.0364124i
\(293\) 12.4822 + 3.34459i 0.729218 + 0.195393i 0.604281 0.796771i \(-0.293460\pi\)
0.124937 + 0.992165i \(0.460127\pi\)
\(294\) 7.36770 4.14124i 0.429693 0.241522i
\(295\) 7.97798 + 13.8183i 0.464496 + 0.804531i
\(296\) 13.4241 + 7.75039i 0.780258 + 0.450482i
\(297\) −7.10479 26.5154i −0.412262 1.53858i
\(298\) 2.38973i 0.138433i
\(299\) −0.962853 + 4.14635i −0.0556832 + 0.239790i
\(300\) 5.45075i 0.314699i
\(301\) −8.81889 + 1.10935i −0.508313 + 0.0639421i
\(302\) −7.05216 + 12.2147i −0.405806 + 0.702877i
\(303\) 17.7332 10.2382i 1.01874 0.588171i
\(304\) 1.09025 + 1.09025i 0.0625303 + 0.0625303i
\(305\) 12.7056 + 3.40445i 0.727520 + 0.194938i
\(306\) −2.29587 0.615177i −0.131246 0.0351674i
\(307\) −5.42520 + 5.42520i −0.309632 + 0.309632i −0.844767 0.535135i \(-0.820261\pi\)
0.535135 + 0.844767i \(0.320261\pi\)
\(308\) −15.3457 + 6.25301i −0.874403 + 0.356299i
\(309\) −9.24869 5.33974i −0.526140 0.303767i
\(310\) 7.90282 2.11755i 0.448850 0.120269i
\(311\) −0.483376 −0.0274097 −0.0137049 0.999906i \(-0.504363\pi\)
−0.0137049 + 0.999906i \(0.504363\pi\)
\(312\) −12.1570 + 7.57493i −0.688256 + 0.428846i
\(313\) 0.445328i 0.0251715i 0.999921 + 0.0125857i \(0.00400627\pi\)
−0.999921 + 0.0125857i \(0.995994\pi\)
\(314\) 2.33430 0.625474i 0.131732 0.0352976i
\(315\) 2.19889 2.83170i 0.123893 0.159548i
\(316\) −7.77097 + 4.48657i −0.437151 + 0.252389i
\(317\) −17.5588 + 17.5588i −0.986201 + 0.986201i −0.999906 0.0137052i \(-0.995637\pi\)
0.0137052 + 0.999906i \(0.495637\pi\)
\(318\) 1.81035 6.75631i 0.101519 0.378875i
\(319\) 6.98281 26.0602i 0.390962 1.45909i
\(320\) −4.41020 + 4.41020i −0.246538 + 0.246538i
\(321\) −5.81218 + 3.35567i −0.324404 + 0.187295i
\(322\) 1.61388 2.07834i 0.0899381 0.115821i
\(323\) 18.0933 4.84809i 1.00674 0.269755i
\(324\) 6.79726i 0.377625i
\(325\) −10.1667 + 3.09405i −0.563947 + 0.171627i
\(326\) −20.3019 −1.12442
\(327\) 5.95559 1.59579i 0.329345 0.0882476i
\(328\) −11.7206 6.76690i −0.647163 0.373640i
\(329\) 14.3044 5.82872i 0.788629 0.321348i
\(330\) −5.93723 + 5.93723i −0.326834 + 0.326834i
\(331\) −14.3822 3.85370i −0.790518 0.211819i −0.159101 0.987262i \(-0.550860\pi\)
−0.631417 + 0.775444i \(0.717526\pi\)
\(332\) −5.69120 1.52495i −0.312345 0.0836926i
\(333\) −3.74009 3.74009i −0.204956 0.204956i
\(334\) −7.15973 + 4.13367i −0.391763 + 0.226184i
\(335\) 1.40735 2.43760i 0.0768917 0.133180i
\(336\) −0.923811 + 0.116209i −0.0503980 + 0.00633971i
\(337\) 7.23643i 0.394194i −0.980384 0.197097i \(-0.936849\pi\)
0.980384 0.197097i \(-0.0631513\pi\)
\(338\) −8.24683 7.20601i −0.448568 0.391955i
\(339\) 5.80093i 0.315063i
\(340\) −1.42725 5.32656i −0.0774033 0.288873i
\(341\) 28.4960 + 16.4522i 1.54315 + 0.890936i
\(342\) 2.50169 + 4.33306i 0.135276 + 0.234305i
\(343\) 6.79047 + 17.2305i 0.366651 + 0.930359i
\(344\) −8.99474 2.41013i −0.484964 0.129946i
\(345\) −0.627427 + 2.34159i −0.0337795 + 0.126067i
\(346\) 3.12001 3.12001i 0.167733 0.167733i
\(347\) 6.28405 + 10.8843i 0.337345 + 0.584299i 0.983933 0.178541i \(-0.0571376\pi\)
−0.646587 + 0.762840i \(0.723804\pi\)
\(348\) 5.13948 8.90185i 0.275505 0.477189i
\(349\) −4.81774 17.9800i −0.257888 0.962450i −0.966461 0.256813i \(-0.917328\pi\)
0.708574 0.705637i \(-0.249339\pi\)
\(350\) 6.50813 + 0.895005i 0.347874 + 0.0478400i
\(351\) 19.5072 5.93665i 1.04122 0.316875i
\(352\) −27.9131 −1.48777
\(353\) −6.04570 + 1.61994i −0.321780 + 0.0862207i −0.416093 0.909322i \(-0.636601\pi\)
0.0943134 + 0.995543i \(0.469934\pi\)
\(354\) 6.72348 11.6454i 0.357349 0.618947i
\(355\) −2.36643 4.09878i −0.125597 0.217541i
\(356\) 0.224325 + 0.224325i 0.0118892 + 0.0118892i
\(357\) −4.38893 + 10.4254i −0.232287 + 0.551773i
\(358\) 4.92181 18.3684i 0.260126 0.970802i
\(359\) −1.66592 1.66592i −0.0879237 0.0879237i 0.661777 0.749701i \(-0.269803\pi\)
−0.749701 + 0.661777i \(0.769803\pi\)
\(360\) 3.25285 1.87804i 0.171440 0.0989812i
\(361\) −17.6935 10.2153i −0.931236 0.537649i
\(362\) 4.90153 + 18.2928i 0.257619 + 0.961446i
\(363\) −18.0031 −0.944918
\(364\) −5.02536 11.2362i −0.263400 0.588938i
\(365\) 0.715239 0.0374373
\(366\) −2.86912 10.7077i −0.149971 0.559700i
\(367\) −16.7399 9.66481i −0.873818 0.504499i −0.00520293 0.999986i \(-0.501656\pi\)
−0.868615 + 0.495487i \(0.834989\pi\)
\(368\) −0.251047 + 0.144942i −0.0130867 + 0.00755563i
\(369\) 3.26549 + 3.26549i 0.169995 + 0.169995i
\(370\) −1.74687 + 6.51943i −0.0908157 + 0.338929i
\(371\) 14.1265 + 5.94701i 0.733411 + 0.308753i
\(372\) 8.86450 + 8.86450i 0.459603 + 0.459603i
\(373\) 4.17375 + 7.22914i 0.216108 + 0.374311i 0.953615 0.301029i \(-0.0973302\pi\)
−0.737507 + 0.675340i \(0.763997\pi\)
\(374\) −6.09900 + 10.5638i −0.315372 + 0.546240i
\(375\) −15.7630 + 4.22367i −0.813996 + 0.218110i
\(376\) 16.1826 0.834554
\(377\) 19.5210 + 4.53311i 1.00538 + 0.233467i
\(378\) −12.4873 1.71727i −0.642280 0.0883270i
\(379\) −4.99923 18.6574i −0.256793 0.958365i −0.967084 0.254457i \(-0.918103\pi\)
0.710291 0.703908i \(-0.248563\pi\)
\(380\) −5.80407 + 10.0529i −0.297742 + 0.515705i
\(381\) −8.84337 15.3172i −0.453060 0.784723i
\(382\) 14.6960 14.6960i 0.751915 0.751915i
\(383\) 6.09034 22.7295i 0.311202 1.16142i −0.616272 0.787533i \(-0.711358\pi\)
0.927474 0.373888i \(-0.121976\pi\)
\(384\) −10.8450 2.90592i −0.553433 0.148292i
\(385\) −11.1163 14.6613i −0.566542 0.747210i
\(386\) 1.44861 + 2.50906i 0.0737323 + 0.127708i
\(387\) 2.75181 + 1.58876i 0.139882 + 0.0807612i
\(388\) 3.14029 + 11.7197i 0.159424 + 0.594979i
\(389\) 27.9585i 1.41755i 0.705434 + 0.708775i \(0.250752\pi\)
−0.705434 + 0.708775i \(0.749248\pi\)
\(390\) −4.55597 4.25942i −0.230700 0.215684i
\(391\) 3.52174i 0.178102i
\(392\) −0.223676 + 19.4017i −0.0112973 + 0.979933i
\(393\) −4.81109 + 8.33305i −0.242687 + 0.420347i
\(394\) 2.91292 1.68177i 0.146751 0.0847266i
\(395\) −7.04504 7.04504i −0.354475 0.354475i
\(396\) 5.72205 + 1.53322i 0.287544 + 0.0770471i
\(397\) −11.5874 3.10484i −0.581556 0.155827i −0.0439649 0.999033i \(-0.513999\pi\)
−0.537591 + 0.843206i \(0.680666\pi\)
\(398\) −0.609447 + 0.609447i −0.0305488 + 0.0305488i
\(399\) 22.0510 8.98526i 1.10393 0.449825i
\(400\) −0.626756 0.361858i −0.0313378 0.0180929i
\(401\) 19.1246 5.12441i 0.955035 0.255901i 0.252537 0.967587i \(-0.418735\pi\)
0.702497 + 0.711686i \(0.252068\pi\)
\(402\) −2.37210 −0.118310
\(403\) −11.5022 + 21.5658i −0.572965 + 1.07427i
\(404\) 18.4346i 0.917154i
\(405\) 7.29007 1.95337i 0.362246 0.0970636i
\(406\) −9.78480 7.59815i −0.485612 0.377090i
\(407\) −23.5078 + 13.5722i −1.16524 + 0.672751i
\(408\) −8.37974 + 8.37974i −0.414859 + 0.414859i
\(409\) −4.60743 + 17.1952i −0.227823 + 0.850247i 0.753431 + 0.657527i \(0.228398\pi\)
−0.981254 + 0.192720i \(0.938269\pi\)
\(410\) 1.52521 5.69214i 0.0753245 0.281115i
\(411\) −22.1883 + 22.1883i −1.09447 + 1.09447i
\(412\) 8.32642 4.80726i 0.410213 0.236837i
\(413\) 23.2732 + 18.0723i 1.14520 + 0.889278i
\(414\) −0.908636 + 0.243468i −0.0446570 + 0.0119658i
\(415\) 6.54205i 0.321137i
\(416\) −0.697079 20.7222i −0.0341771 1.01599i
\(417\) 5.78710 0.283396
\(418\) 24.8023 6.64576i 1.21312 0.325055i
\(419\) 8.03474 + 4.63886i 0.392523 + 0.226623i 0.683253 0.730182i \(-0.260565\pi\)
−0.290730 + 0.956805i \(0.593898\pi\)
\(420\) −2.64520 6.49167i −0.129073 0.316761i
\(421\) −13.2205 + 13.2205i −0.644329 + 0.644329i −0.951617 0.307288i \(-0.900579\pi\)
0.307288 + 0.951617i \(0.400579\pi\)
\(422\) 4.39510 + 1.17766i 0.213950 + 0.0573277i
\(423\) −5.33379 1.42918i −0.259338 0.0694893i
\(424\) 11.3546 + 11.3546i 0.551426 + 0.551426i
\(425\) −7.61431 + 4.39612i −0.369348 + 0.213243i
\(426\) −1.99432 + 3.45427i −0.0966253 + 0.167360i
\(427\) 24.1013 3.03178i 1.16635 0.146718i
\(428\) 6.04208i 0.292055i
\(429\) −0.843312 25.0693i −0.0407155 1.21036i
\(430\) 4.05468i 0.195534i
\(431\) 1.53438 + 5.72637i 0.0739083 + 0.275830i 0.992984 0.118252i \(-0.0377292\pi\)
−0.919075 + 0.394082i \(0.871063\pi\)
\(432\) 1.20258 + 0.694307i 0.0578589 + 0.0334049i
\(433\) 6.32385 + 10.9532i 0.303905 + 0.526379i 0.977017 0.213162i \(-0.0683762\pi\)
−0.673112 + 0.739541i \(0.735043\pi\)
\(434\) 12.0396 9.12857i 0.577921 0.438185i
\(435\) 11.0242 + 2.95393i 0.528570 + 0.141630i
\(436\) −1.43666 + 5.36170i −0.0688036 + 0.256779i
\(437\) 5.24205 5.24205i 0.250761 0.250761i
\(438\) −0.301386 0.522015i −0.0144008 0.0249429i
\(439\) −12.8788 + 22.3067i −0.614670 + 1.06464i 0.375772 + 0.926712i \(0.377378\pi\)
−0.990442 + 0.137928i \(0.955956\pi\)
\(440\) −4.98901 18.6192i −0.237842 0.887638i
\(441\) 1.78720 6.37504i 0.0851050 0.303574i
\(442\) −7.99468 4.26398i −0.380268 0.202817i
\(443\) 17.2441 0.819293 0.409647 0.912244i \(-0.365652\pi\)
0.409647 + 0.912244i \(0.365652\pi\)
\(444\) −9.98942 + 2.67666i −0.474077 + 0.127029i
\(445\) −0.176123 + 0.305054i −0.00834904 + 0.0144610i
\(446\) −7.24482 12.5484i −0.343052 0.594184i
\(447\) 2.87487 + 2.87487i 0.135977 + 0.135977i
\(448\) −4.46896 + 10.6156i −0.211139 + 0.501538i
\(449\) −1.50842 + 5.62952i −0.0711870 + 0.265673i −0.992342 0.123523i \(-0.960581\pi\)
0.921155 + 0.389197i \(0.127247\pi\)
\(450\) −1.66064 1.66064i −0.0782831 0.0782831i
\(451\) 20.5248 11.8500i 0.966474 0.557994i
\(452\) 4.52278 + 2.61123i 0.212734 + 0.122822i
\(453\) −6.21060 23.1783i −0.291800 1.08901i
\(454\) −8.39274 −0.393891
\(455\) 10.6067 8.61872i 0.497250 0.404052i
\(456\) 24.9463 1.16822
\(457\) 5.74697 + 21.4480i 0.268832 + 1.00329i 0.959863 + 0.280469i \(0.0904901\pi\)
−0.691031 + 0.722825i \(0.742843\pi\)
\(458\) −3.04250 1.75659i −0.142167 0.0820801i
\(459\) 14.6098 8.43498i 0.681928 0.393711i
\(460\) −1.54323 1.54323i −0.0719533 0.0719533i
\(461\) 5.52093 20.6044i 0.257135 0.959642i −0.709755 0.704449i \(-0.751194\pi\)
0.966890 0.255193i \(-0.0821390\pi\)
\(462\) −6.01634 + 14.2912i −0.279906 + 0.664886i
\(463\) −5.14657 5.14657i −0.239181 0.239181i 0.577330 0.816511i \(-0.304095\pi\)
−0.816511 + 0.577330i \(0.804095\pi\)
\(464\) 0.682387 + 1.18193i 0.0316790 + 0.0548697i
\(465\) −6.95974 + 12.0546i −0.322750 + 0.559020i
\(466\) −5.14772 + 1.37933i −0.238464 + 0.0638962i
\(467\) −28.5108 −1.31932 −0.659661 0.751563i \(-0.729300\pi\)
−0.659661 + 0.751563i \(0.729300\pi\)
\(468\) −0.995337 + 4.28624i −0.0460095 + 0.198131i
\(469\) 0.708161 5.14948i 0.0326998 0.237781i
\(470\) 1.82371 + 6.80619i 0.0841216 + 0.313946i
\(471\) −2.05574 + 3.56065i −0.0947235 + 0.164066i
\(472\) 15.4352 + 26.7346i 0.710465 + 1.23056i
\(473\) 11.5308 11.5308i 0.530184 0.530184i
\(474\) −2.17318 + 8.11042i −0.0998175 + 0.372524i
\(475\) 17.8774 + 4.79022i 0.820270 + 0.219791i
\(476\) −6.15272 8.11481i −0.282010 0.371942i
\(477\) −2.73967 4.74526i −0.125441 0.217270i
\(478\) 8.09080 + 4.67123i 0.370065 + 0.213657i
\(479\) 8.52110 + 31.8012i 0.389339 + 1.45303i 0.831212 + 0.555955i \(0.187648\pi\)
−0.441873 + 0.897078i \(0.645686\pi\)
\(480\) 11.8080i 0.538961i
\(481\) −10.6629 17.1128i −0.486184 0.780278i
\(482\) 11.7792i 0.536527i
\(483\) 0.558745 + 4.44178i 0.0254238 + 0.202108i
\(484\) 8.10392 14.0364i 0.368360 0.638018i
\(485\) −11.6670 + 6.73593i −0.529770 + 0.305863i
\(486\) 5.60885 + 5.60885i 0.254423 + 0.254423i
\(487\) 13.6913 + 3.66858i 0.620414 + 0.166239i 0.555316 0.831640i \(-0.312597\pi\)
0.0650979 + 0.997879i \(0.479264\pi\)
\(488\) 24.5819 + 6.58670i 1.11277 + 0.298166i
\(489\) 24.4235 24.4235i 1.10447 1.10447i
\(490\) −8.18531 + 2.09242i −0.369774 + 0.0945258i
\(491\) −25.7788 14.8834i −1.16338 0.671678i −0.211269 0.977428i \(-0.567759\pi\)
−0.952112 + 0.305750i \(0.901093\pi\)
\(492\) 8.72182 2.33700i 0.393210 0.105360i
\(493\) 16.5803 0.746741
\(494\) 5.55309 + 18.2468i 0.249845 + 0.820964i
\(495\) 6.57751i 0.295637i
\(496\) −1.60777 + 0.430801i −0.0721911 + 0.0193435i
\(497\) −6.90332 5.36061i −0.309656 0.240456i
\(498\) −4.77470 + 2.75667i −0.213959 + 0.123529i
\(499\) 13.0693 13.0693i 0.585064 0.585064i −0.351226 0.936291i \(-0.614235\pi\)
0.936291 + 0.351226i \(0.114235\pi\)
\(500\) 3.80249 14.1911i 0.170052 0.634644i
\(501\) 3.64039 13.5861i 0.162640 0.606982i
\(502\) 15.7004 15.7004i 0.700743 0.700743i
\(503\) −5.05931 + 2.92099i −0.225583 + 0.130241i −0.608533 0.793529i \(-0.708242\pi\)
0.382949 + 0.923769i \(0.374908\pi\)
\(504\) 4.25425 5.47857i 0.189500 0.244035i
\(505\) −19.7711 + 5.29765i −0.879802 + 0.235742i
\(506\) 4.82759i 0.214613i
\(507\) 18.5900 1.25212i 0.825609 0.0556086i
\(508\) 15.9230 0.706470
\(509\) −28.3274 + 7.59031i −1.25559 + 0.336435i −0.824494 0.565871i \(-0.808540\pi\)
−0.431097 + 0.902306i \(0.641873\pi\)
\(510\) −4.46878 2.58005i −0.197881 0.114246i
\(511\) 1.22319 0.498422i 0.0541108 0.0220489i
\(512\) 1.96096 1.96096i 0.0866629 0.0866629i
\(513\) −34.3018 9.19115i −1.51446 0.405799i
\(514\) 8.77234 + 2.35054i 0.386931 + 0.103678i
\(515\) 7.54860 + 7.54860i 0.332631 + 0.332631i
\(516\) 5.38045 3.10640i 0.236861 0.136752i
\(517\) −14.1692 + 24.5418i −0.623162 + 1.07935i
\(518\) 1.55565 + 12.3668i 0.0683513 + 0.543364i
\(519\) 7.50681i 0.329513i
\(520\) 13.6980 4.16874i 0.600698 0.182811i
\(521\) 41.0128i 1.79680i 0.439173 + 0.898402i \(0.355271\pi\)
−0.439173 + 0.898402i \(0.644729\pi\)
\(522\) 1.14625 + 4.27786i 0.0501699 + 0.187237i
\(523\) −38.4309 22.1881i −1.68047 0.970217i −0.961351 0.275325i \(-0.911215\pi\)
−0.719114 0.694892i \(-0.755452\pi\)
\(524\) −4.33133 7.50208i −0.189215 0.327730i
\(525\) −8.90606 + 6.75266i −0.388692 + 0.294710i
\(526\) 12.6056 + 3.37766i 0.549630 + 0.147273i
\(527\) −5.23370 + 19.5325i −0.227984 + 0.850847i
\(528\) 1.20789 1.20789i 0.0525666 0.0525666i
\(529\) −10.8031 18.7115i −0.469700 0.813544i
\(530\) −3.49597 + 6.05520i −0.151855 + 0.263021i
\(531\) −2.72636 10.1749i −0.118314 0.441554i
\(532\) −2.92054 + 21.2370i −0.126621 + 0.920741i
\(533\) 9.30979 + 14.9413i 0.403252 + 0.647180i
\(534\) 0.296857 0.0128463
\(535\) 6.48014 1.73635i 0.280161 0.0750688i
\(536\) 2.72284 4.71610i 0.117609 0.203705i
\(537\) 16.1765 + 28.0185i 0.698066 + 1.20909i
\(538\) −15.5674 15.5674i −0.671160 0.671160i
\(539\) −29.2279 17.3270i −1.25894 0.746328i
\(540\) −2.70581 + 10.0982i −0.116440 + 0.434559i
\(541\) −4.85001 4.85001i −0.208518 0.208518i 0.595119 0.803637i \(-0.297105\pi\)
−0.803637 + 0.595119i \(0.797105\pi\)
\(542\) −4.80223 + 2.77257i −0.206273 + 0.119092i
\(543\) −27.9030 16.1098i −1.19743 0.691338i
\(544\) −4.43980 16.5696i −0.190355 0.710414i
\(545\) −6.16329 −0.264006
\(546\) −10.7598 4.10953i −0.460476 0.175872i
\(547\) −16.7670 −0.716904 −0.358452 0.933548i \(-0.616695\pi\)
−0.358452 + 0.933548i \(0.616695\pi\)
\(548\) −7.31159 27.2872i −0.312336 1.16565i
\(549\) −7.52048 4.34195i −0.320966 0.185310i
\(550\) −10.4377 + 6.02620i −0.445065 + 0.256958i
\(551\) −24.6796 24.6796i −1.05139 1.05139i
\(552\) −1.21390 + 4.53035i −0.0516672 + 0.192824i
\(553\) −16.9577 7.13892i −0.721116 0.303578i
\(554\) −17.3804 17.3804i −0.738422 0.738422i
\(555\) −5.74144 9.94446i −0.243710 0.422119i
\(556\) −2.60501 + 4.51200i −0.110477 + 0.191352i
\(557\) −38.0545 + 10.1967i −1.61242 + 0.432046i −0.948762 0.315991i \(-0.897663\pi\)
−0.663657 + 0.748037i \(0.730996\pi\)
\(558\) −5.40135 −0.228657
\(559\) 8.84819 + 8.27227i 0.374238 + 0.349880i
\(560\) 0.922052 + 0.126802i 0.0389638 + 0.00535834i
\(561\) −5.37118 20.0455i −0.226772 0.846323i
\(562\) −5.27402 + 9.13488i −0.222471 + 0.385332i
\(563\) 1.05586 + 1.82880i 0.0444991 + 0.0770748i 0.887417 0.460967i \(-0.152497\pi\)
−0.842918 + 0.538042i \(0.819164\pi\)
\(564\) −7.63443 + 7.63443i −0.321467 + 0.321467i
\(565\) −1.50081 + 5.60110i −0.0631395 + 0.235640i
\(566\) 25.9912 + 6.96433i 1.09249 + 0.292733i
\(567\) 11.1061 8.42078i 0.466414 0.353640i
\(568\) −4.57841 7.93005i −0.192106 0.332737i
\(569\) 31.5451 + 18.2126i 1.32244 + 0.763512i 0.984117 0.177518i \(-0.0568069\pi\)
0.338323 + 0.941030i \(0.390140\pi\)
\(570\) 2.81134 + 10.4921i 0.117754 + 0.439465i
\(571\) 15.2042i 0.636275i −0.948045 0.318138i \(-0.896943\pi\)
0.948045 0.318138i \(-0.103057\pi\)
\(572\) 19.9253 + 10.6272i 0.833118 + 0.444346i
\(573\) 35.3590i 1.47715i
\(574\) −1.35825 10.7975i −0.0566921 0.450678i
\(575\) −1.73985 + 3.01351i −0.0725568 + 0.125672i
\(576\) 3.56589 2.05877i 0.148579 0.0857820i
\(577\) −8.00711 8.00711i −0.333341 0.333341i 0.520513 0.853854i \(-0.325741\pi\)
−0.853854 + 0.520513i \(0.825741\pi\)
\(578\) 6.59241 + 1.76643i 0.274208 + 0.0734739i
\(579\) −4.76113 1.27574i −0.197866 0.0530180i
\(580\) −7.26551 + 7.26551i −0.301684 + 0.301684i
\(581\) −4.55889 11.1881i −0.189135 0.464161i
\(582\) 9.83240 + 5.67674i 0.407566 + 0.235308i
\(583\) −27.1617 + 7.27796i −1.12492 + 0.301422i
\(584\) 1.38380 0.0572619
\(585\) −4.88303 + 0.164261i −0.201889 + 0.00679137i
\(586\) 10.8863i 0.449709i
\(587\) 3.32195 0.890113i 0.137111 0.0367389i −0.189611 0.981859i \(-0.560723\pi\)
0.326722 + 0.945120i \(0.394056\pi\)
\(588\) −9.04757 9.25862i −0.373115 0.381819i
\(589\) 36.8641 21.2835i 1.51896 0.876971i
\(590\) −9.50475 + 9.50475i −0.391304 + 0.391304i
\(591\) −1.48108 + 5.52747i −0.0609236 + 0.227370i
\(592\) 0.355389 1.32633i 0.0146064 0.0545119i
\(593\) 32.9017 32.9017i 1.35111 1.35111i 0.466687 0.884422i \(-0.345447\pi\)
0.884422 0.466687i \(-0.154553\pi\)
\(594\) 20.0271 11.5627i 0.821722 0.474422i
\(595\) 6.93500 8.93080i 0.284307 0.366127i
\(596\) −3.53554 + 0.947344i −0.144821 + 0.0388047i
\(597\) 1.46635i 0.0600135i
\(598\) −3.58392 + 0.120560i −0.146557 + 0.00493008i
\(599\) 7.61769 0.311251 0.155625 0.987816i \(-0.450261\pi\)
0.155625 + 0.987816i \(0.450261\pi\)
\(600\) −11.3103 + 3.03059i −0.461742 + 0.123723i
\(601\) 32.3774 + 18.6931i 1.32070 + 0.762508i 0.983841 0.179045i \(-0.0573009\pi\)
0.336863 + 0.941554i \(0.390634\pi\)
\(602\) −2.82555 6.93426i −0.115161 0.282619i
\(603\) −1.31396 + 1.31396i −0.0535085 + 0.0535085i
\(604\) 20.8669 + 5.59128i 0.849064 + 0.227506i
\(605\) 17.3829 + 4.65774i 0.706717 + 0.189364i
\(606\) 12.1976 + 12.1976i 0.495492 + 0.495492i
\(607\) 16.4375 9.49020i 0.667178 0.385195i −0.127829 0.991796i \(-0.540801\pi\)
0.795006 + 0.606601i \(0.207467\pi\)
\(608\) −18.0550 + 31.2722i −0.732226 + 1.26825i
\(609\) 20.9119 2.63057i 0.847393 0.106596i
\(610\) 11.0811i 0.448661i
\(611\) −18.5733 9.90610i −0.751394 0.400758i
\(612\) 3.64055i 0.147160i
\(613\) −1.13756 4.24543i −0.0459456 0.171471i 0.939141 0.343533i \(-0.111624\pi\)
−0.985086 + 0.172062i \(0.944957\pi\)
\(614\) −5.59750 3.23172i −0.225897 0.130421i
\(615\) 5.01288 + 8.68256i 0.202139 + 0.350115i
\(616\) −21.5071 28.3657i −0.866548 1.14289i
\(617\) 23.9468 + 6.41652i 0.964061 + 0.258319i 0.706318 0.707894i \(-0.250355\pi\)
0.257743 + 0.966214i \(0.417021\pi\)
\(618\) 2.32851 8.69013i 0.0936666 0.349568i
\(619\) 17.2383 17.2383i 0.692866 0.692866i −0.269995 0.962862i \(-0.587022\pi\)
0.962862 + 0.269995i \(0.0870222\pi\)
\(620\) −6.26572 10.8525i −0.251637 0.435849i
\(621\) 3.33831 5.78211i 0.133962 0.232028i
\(622\) −0.105394 0.393334i −0.00422590 0.0157713i
\(623\) −0.0886230 + 0.644433i −0.00355061 + 0.0258186i
\(624\) 0.926879 + 0.866550i 0.0371049 + 0.0346898i
\(625\) 1.57557 0.0630229
\(626\) −0.362374 + 0.0970978i −0.0144834 + 0.00388081i
\(627\) −21.8426 + 37.8324i −0.872307 + 1.51088i
\(628\) −1.85074 3.20558i −0.0738527 0.127917i
\(629\) −11.7957 11.7957i −0.470327 0.470327i
\(630\) 2.78365 + 1.17187i 0.110903 + 0.0466885i
\(631\) 0.701056 2.61638i 0.0279086 0.104156i −0.950567 0.310521i \(-0.899497\pi\)
0.978475 + 0.206364i \(0.0661633\pi\)
\(632\) −13.6303 13.6303i −0.542183 0.542183i
\(633\) −6.70410 + 3.87061i −0.266464 + 0.153843i
\(634\) −18.1165 10.4595i −0.719497 0.415402i
\(635\) 4.57589 + 17.0775i 0.181589 + 0.677698i
\(636\) −10.7134 −0.424815
\(637\) 12.1334 22.1310i 0.480742 0.876862i
\(638\) 22.7283 0.899822
\(639\) 0.808695 + 3.01809i 0.0319915 + 0.119394i
\(640\) 9.71961 + 5.61162i 0.384202 + 0.221819i
\(641\) 2.71103 1.56522i 0.107079 0.0618223i −0.445504 0.895280i \(-0.646975\pi\)
0.552583 + 0.833458i \(0.313642\pi\)
\(642\) −3.99785 3.99785i −0.157783 0.157783i
\(643\) −0.747638 + 2.79022i −0.0294840 + 0.110036i −0.979100 0.203381i \(-0.934807\pi\)
0.949616 + 0.313417i \(0.101474\pi\)
\(644\) −3.71462 1.56379i −0.146376 0.0616220i
\(645\) 4.87783 + 4.87783i 0.192064 + 0.192064i
\(646\) 7.89001 + 13.6659i 0.310428 + 0.537677i
\(647\) 8.86801 15.3598i 0.348637 0.603857i −0.637370 0.770558i \(-0.719978\pi\)
0.986008 + 0.166700i \(0.0533112\pi\)
\(648\) 14.1043 3.77924i 0.554070 0.148463i
\(649\) −54.0594 −2.12202
\(650\) −4.73441 7.59827i −0.185699 0.298029i
\(651\) −3.50206 + 25.4656i −0.137256 + 0.998076i
\(652\) 8.04815 + 30.0361i 0.315190 + 1.17631i
\(653\) 11.0978 19.2219i 0.434289 0.752211i −0.562948 0.826492i \(-0.690333\pi\)
0.997237 + 0.0742811i \(0.0236662\pi\)
\(654\) 2.59707 + 4.49826i 0.101553 + 0.175896i
\(655\) 6.80127 6.80127i 0.265748 0.265748i
\(656\) −0.310292 + 1.15803i −0.0121149 + 0.0452133i
\(657\) −0.456099 0.122211i −0.0177941 0.00476792i
\(658\) 7.86185 + 10.3690i 0.306487 + 0.404225i
\(659\) 14.4500 + 25.0282i 0.562893 + 0.974960i 0.997242 + 0.0742153i \(0.0236452\pi\)
−0.434349 + 0.900745i \(0.643021\pi\)
\(660\) 11.1376 + 6.43031i 0.433531 + 0.250299i
\(661\) 1.00395 + 3.74678i 0.0390490 + 0.145733i 0.982698 0.185215i \(-0.0592982\pi\)
−0.943649 + 0.330948i \(0.892632\pi\)
\(662\) 12.5434i 0.487513i
\(663\) 14.7473 4.48807i 0.572738 0.174302i
\(664\) 12.6571i 0.491191i
\(665\) −23.6160 + 2.97073i −0.915790 + 0.115200i
\(666\) 2.22792 3.85887i 0.0863302 0.149528i
\(667\) 5.68285 3.28099i 0.220041 0.127041i
\(668\) 8.95393 + 8.95393i 0.346438 + 0.346438i
\(669\) 23.8115 + 6.38027i 0.920606 + 0.246676i
\(670\) 2.29039 + 0.613707i 0.0884853 + 0.0237096i
\(671\) −31.5126 + 31.5126i −1.21653 + 1.21653i
\(672\) −8.22855 20.1939i −0.317423 0.778998i
\(673\) 14.8015 + 8.54566i 0.570557 + 0.329411i 0.757372 0.652984i \(-0.226483\pi\)
−0.186815 + 0.982395i \(0.559816\pi\)
\(674\) 5.88845 1.57781i 0.226815 0.0607748i
\(675\) 16.6686 0.641575
\(676\) −7.39185 + 15.0576i −0.284302 + 0.579138i
\(677\) 30.5733i 1.17503i −0.809214 0.587514i \(-0.800107\pi\)
0.809214 0.587514i \(-0.199893\pi\)
\(678\) 4.72035 1.26481i 0.181284 0.0485749i
\(679\) −15.2587 + 19.6499i −0.585575 + 0.754096i
\(680\) 10.2591 5.92308i 0.393417 0.227140i
\(681\) 10.0966 10.0966i 0.386902 0.386902i
\(682\) −7.17436 + 26.7751i −0.274720 + 1.02527i
\(683\) 1.64019 6.12129i 0.0627603 0.234224i −0.927420 0.374022i \(-0.877978\pi\)
0.990180 + 0.139797i \(0.0446451\pi\)
\(684\) 5.41891 5.41891i 0.207197 0.207197i
\(685\) 27.1644 15.6834i 1.03790 0.599231i
\(686\) −12.5403 + 9.28244i −0.478790 + 0.354405i
\(687\) 5.77337 1.54697i 0.220268 0.0590206i
\(688\) 0.824896i 0.0314489i
\(689\) −6.08135 19.9826i −0.231681 0.761278i
\(690\) −2.04221 −0.0777455
\(691\) 4.60739 1.23455i 0.175273 0.0469643i −0.170115 0.985424i \(-0.554414\pi\)
0.345388 + 0.938460i \(0.387747\pi\)
\(692\) −5.85280 3.37912i −0.222490 0.128455i
\(693\) 4.58361 + 11.2488i 0.174117 + 0.427305i
\(694\) −7.48665 + 7.48665i −0.284189 + 0.284189i
\(695\) −5.58774 1.49723i −0.211955 0.0567932i
\(696\) 21.3289 + 5.71506i 0.808469 + 0.216629i
\(697\) 10.2989 + 10.2989i 0.390100 + 0.390100i
\(698\) 13.5803 7.84061i 0.514023 0.296771i
\(699\) 4.53343 7.85213i 0.171470 0.296995i
\(700\) −1.25584 9.98339i −0.0474663 0.377337i
\(701\) 29.4647i 1.11287i −0.830892 0.556433i \(-0.812169\pi\)
0.830892 0.556433i \(-0.187831\pi\)
\(702\) 9.08406 + 14.5790i 0.342856 + 0.550250i
\(703\) 35.1156i 1.32441i
\(704\) −5.46913 20.4111i −0.206126 0.769271i
\(705\) −10.3819 5.99398i −0.391004 0.225746i
\(706\) −2.63637 4.56632i −0.0992209 0.171856i
\(707\) −30.1205 + 22.8377i −1.13280 + 0.858898i
\(708\) −19.8944 5.33069i −0.747677 0.200340i
\(709\) −4.33842 + 16.1912i −0.162933 + 0.608073i 0.835362 + 0.549700i \(0.185258\pi\)
−0.998295 + 0.0583730i \(0.981409\pi\)
\(710\) 2.81931 2.81931i 0.105807 0.105807i
\(711\) 3.28876 + 5.69631i 0.123338 + 0.213628i
\(712\) −0.340751 + 0.590198i −0.0127702 + 0.0221186i
\(713\) 2.07134 + 7.73035i 0.0775723 + 0.289504i
\(714\) −9.44037 1.29825i −0.353297 0.0485858i
\(715\) −5.67164 + 24.4239i −0.212107 + 0.913402i
\(716\) −29.1267 −1.08852
\(717\) −15.3529 + 4.11379i −0.573364 + 0.153632i
\(718\) 0.992364 1.71882i 0.0370347 0.0641460i
\(719\) −8.96395 15.5260i −0.334299 0.579023i 0.649051 0.760745i \(-0.275166\pi\)
−0.983350 + 0.181722i \(0.941833\pi\)
\(720\) −0.235274 0.235274i −0.00876814 0.00876814i
\(721\) 18.1698 + 7.64919i 0.676680 + 0.284871i
\(722\) 4.45463 16.6249i 0.165784 0.618715i
\(723\) 14.1705 + 14.1705i 0.527007 + 0.527007i
\(724\) 25.1205 14.5033i 0.933597 0.539012i
\(725\) 14.1876 + 8.19122i 0.526914 + 0.304214i
\(726\) −3.92534 14.6496i −0.145683 0.543696i
\(727\) −32.6548 −1.21110 −0.605549 0.795808i \(-0.707046\pi\)
−0.605549 + 0.795808i \(0.707046\pi\)
\(728\) 20.5211 16.6749i 0.760563 0.618013i
\(729\) −29.2988 −1.08514
\(730\) 0.155948 + 0.582007i 0.00577190 + 0.0215410i
\(731\) 8.67885 + 5.01074i 0.320999 + 0.185329i
\(732\) −14.7043 + 8.48955i −0.543488 + 0.313783i
\(733\) 25.0843 + 25.0843i 0.926510 + 0.926510i 0.997479 0.0709685i \(-0.0226090\pi\)
−0.0709685 + 0.997479i \(0.522609\pi\)
\(734\) 4.21456 15.7290i 0.155562 0.580567i
\(735\) 7.32982 12.3642i 0.270365 0.456062i
\(736\) −4.80059 4.80059i −0.176952 0.176952i
\(737\) 4.76816 + 8.25869i 0.175637 + 0.304213i
\(738\) −1.94521 + 3.36920i −0.0716041 + 0.124022i
\(739\) 13.8732 3.71731i 0.510333 0.136743i 0.00554159 0.999985i \(-0.498236\pi\)
0.504791 + 0.863241i \(0.331569\pi\)
\(740\) 10.3378 0.380025
\(741\) −28.6316 15.2707i −1.05181 0.560984i
\(742\) −1.75913 + 12.7917i −0.0645797 + 0.469599i
\(743\) 6.76509 + 25.2477i 0.248187 + 0.926247i 0.971755 + 0.235993i \(0.0758344\pi\)
−0.723568 + 0.690254i \(0.757499\pi\)
\(744\) −13.4652 + 23.3225i −0.493659 + 0.855043i
\(745\) −2.03206 3.51962i −0.0744487 0.128949i
\(746\) −4.97249 + 4.97249i −0.182056 + 0.182056i
\(747\) −1.11783 + 4.17178i −0.0408991 + 0.152638i
\(748\) 18.0466 + 4.83557i 0.659849 + 0.176806i
\(749\) 9.87224 7.48523i 0.360724 0.273504i
\(750\) −6.87380 11.9058i −0.250996 0.434737i
\(751\) 10.2898 + 5.94079i 0.375479 + 0.216783i 0.675849 0.737040i \(-0.263777\pi\)
−0.300371 + 0.953823i \(0.597110\pi\)
\(752\) −0.371022 1.38467i −0.0135298 0.0504938i
\(753\) 37.7755i 1.37662i
\(754\) 0.567598 + 16.8731i 0.0206707 + 0.614482i
\(755\) 23.9866i 0.872963i
\(756\) 2.40962 + 19.1554i 0.0876369 + 0.696676i
\(757\) 21.1088 36.5615i 0.767212 1.32885i −0.171857 0.985122i \(-0.554977\pi\)
0.939069 0.343729i \(-0.111690\pi\)
\(758\) 14.0919 8.13598i 0.511842 0.295512i
\(759\) −5.80765 5.80765i −0.210805 0.210805i
\(760\) −24.0869 6.45406i −0.873723 0.234114i
\(761\) 27.8046 + 7.45021i 1.00792 + 0.270070i 0.724758 0.689003i \(-0.241952\pi\)
0.283157 + 0.959074i \(0.408618\pi\)
\(762\) 10.5358 10.5358i 0.381670 0.381670i
\(763\) −10.5404 + 4.29495i −0.381587 + 0.155488i
\(764\) −27.5682 15.9165i −0.997383 0.575840i
\(765\) −3.90449 + 1.04621i −0.141167 + 0.0378257i
\(766\) 19.8234 0.716249
\(767\) −1.35004 40.1328i −0.0487470 1.44911i
\(768\) 21.9372i 0.791591i
\(769\) 33.9039 9.08451i 1.22260 0.327596i 0.410909 0.911676i \(-0.365211\pi\)
0.811696 + 0.584081i \(0.198545\pi\)
\(770\) 9.50649 12.2423i 0.342590 0.441183i
\(771\) −13.3810 + 7.72550i −0.481903 + 0.278227i
\(772\) 3.13783 3.13783i 0.112933 0.112933i
\(773\) 7.86544 29.3542i 0.282900 1.05580i −0.667460 0.744646i \(-0.732619\pi\)
0.950360 0.311152i \(-0.100715\pi\)
\(774\) −0.692815 +