Properties

Label 91.2.bc.a.6.6
Level $91$
Weight $2$
Character 91.6
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 6.6
Character \(\chi\) \(=\) 91.6
Dual form 91.2.bc.a.76.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.218036 + 0.813723i) q^{2} +(1.24122 + 0.716618i) q^{3} +(1.11745 - 0.645157i) q^{4} +(-1.01306 - 1.01306i) q^{5} +(-0.312498 + 1.16626i) q^{6} +(-2.62506 - 0.330214i) q^{7} +(1.96000 + 1.96000i) q^{8} +(-0.472916 - 0.819114i) q^{9} +O(q^{10})\) \(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} +(-2.62506 - 0.330214i) 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} +(-3.02164 - 2.29104i) 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} +(-3.14641 + 1.32458i) 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} +(2.32482 + 2.99387i) 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} +(1.20544 - 2.95831i) 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} +(6.78192 + 1.73367i) 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} +(-4.49790 - 5.79233i) 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} +(0.970951 + 2.30639i) 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} +(-1.92929 + 2.54453i) 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} +(-4.85460 - 0.610674i) 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} +(-1.61663 - 9.40141i) 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} +(0.0679801 + 5.89661i) 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 0.813507 0.581555i \(-0.197556\pi\)
−0.0968883 + 0.995295i \(0.530889\pi\)
\(4\) 1.11745 0.645157i 0.558723 0.322579i
\(5\) −1.01306 1.01306i −0.453054 0.453054i 0.443313 0.896367i \(-0.353803\pi\)
−0.896367 + 0.443313i \(0.853803\pi\)
\(6\) −0.312498 + 1.16626i −0.127577 + 0.476123i
\(7\) −2.62506 0.330214i −0.992181 0.124809i
\(8\) 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 0.988248 0.152858i \(-0.0488477\pi\)
−0.626503 + 0.779419i \(0.715514\pi\)
\(18\) 0.563419 0.563419i 0.132799 0.132799i
\(19\) 1.62522 6.06542i 0.372852 1.39150i −0.483606 0.875286i \(-0.660673\pi\)
0.856458 0.516217i \(-0.172660\pi\)
\(20\) −1.78562 0.478455i −0.399277 0.106986i
\(21\) −3.02164 2.29104i −0.659377 0.499945i
\(22\) −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
\(28\) −3.14641 + 1.32458i −0.594615 + 0.250323i
\(29\) −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 0.991444 0.130530i \(-0.0416680\pi\)
−0.130530 + 0.991444i \(0.541668\pi\)
\(32\) 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
\(35\) 2.32482 + 2.99387i 0.392966 + 0.506056i
\(36\) −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 0.129005 0.991644i \(-0.458822\pi\)
0.607544 + 0.794286i \(0.292155\pi\)
\(42\) 1.20544 2.95831i 0.186004 0.456477i
\(43\) −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 −0.940886 0.338723i \(-0.890005\pi\)
0.338723 + 0.940886i \(0.390005\pi\)
\(48\) 0.304771 0.175960i 0.0439899 0.0253976i
\(49\) 6.78192 + 1.73367i 0.968845 + 0.247667i
\(50\) 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
\(56\) −4.49790 5.79233i −0.601057 0.774033i
\(57\) 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 −0.521992 0.852950i \(-0.674811\pi\)
−0.878534 + 0.477681i \(0.841478\pi\)
\(60\) −1.87348 1.87348i −0.241865 0.241865i
\(61\) −7.95118 + 4.59062i −1.01804 + 0.587768i −0.913537 0.406756i \(-0.866660\pi\)
−0.104508 + 0.994524i \(0.533327\pi\)
\(62\) −2.85534 + 4.94560i −0.362629 + 0.628092i
\(63\) 0.970951 + 2.30639i 0.122328 + 0.290578i
\(64\) 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
\(70\) −1.92929 + 2.54453i −0.230594 + 0.304130i
\(71\) −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 −0.727463 0.686147i \(-0.759301\pi\)
0.686147 + 0.727463i \(0.259301\pi\)
\(74\) 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 0.861749 0.507335i \(-0.169369\pi\)
−0.507335 + 0.861749i \(0.669369\pi\)
\(84\) −4.85460 0.610674i −0.529680 0.0666300i
\(85\) 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 0.962471 0.271384i \(-0.0874813\pi\)
−0.969216 + 0.246210i \(0.920815\pi\)
\(90\) −1.14155 −0.120330
\(91\) −1.61663 9.40141i −0.169468 0.985536i
\(92\) −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 \(-0.758254\pi\)
0.972312 0.233688i \(-0.0750793\pi\)
\(98\) 0.0679801 + 5.89661i 0.00686703 + 0.595647i
\(99\) 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 \(-0.581667\pi\)
0.964558 0.263872i \(-0.0849996\pi\)
\(102\) −3.47898 + 0.932190i −0.344470 + 0.0923006i
\(103\) −7.45130 −0.734198 −0.367099 0.930182i \(-0.619649\pi\)
−0.367099 + 0.930182i \(0.619649\pi\)
\(104\) −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
\(112\) −0.392500 + 0.517667i −0.0370877 + 0.0489149i
\(113\) 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
\(119\) −3.06225 7.27405i −0.280716 0.666811i
\(120\) 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
\(126\) −1.66506 + 1.29296i −0.148335 + 0.115186i
\(127\) 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 \(0.0947485\pi\)
−0.956025 + 0.293285i \(0.905251\pi\)
\(132\) −8.67073 + 2.32332i −0.754690 + 0.202219i
\(133\) −6.26921 + 15.3854i −0.543609 + 1.33409i
\(134\) 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 −0.344316 0.938854i \(-0.611889\pi\)
0.640913 + 0.767614i \(0.278556\pi\)
\(140\) 4.52937 + 1.84561i 0.382802 + 0.155983i
\(141\) −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
\(147\) 7.17547 + 7.01191i 0.591823 + 0.578332i
\(148\) 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
\(154\) 4.19773 + 9.97126i 0.338263 + 0.803507i
\(155\) 9.71192i 0.780080i
\(156\) 1.94132 + 6.37898i 0.155430 + 0.510727i
\(157\) 2.86867i 0.228945i 0.993426 + 0.114472i \(0.0365177\pi\)
−0.993426 + 0.114472i \(0.963482\pi\)
\(158\) −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
\(161\) 2.48900 + 1.88718i 0.196161 + 0.148731i
\(162\) 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 \(-0.959359\pi\)
0.795311 0.606201i \(-0.207307\pi\)
\(168\) −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 0.948239 0.317558i \(-0.102863\pi\)
−0.749133 + 0.662420i \(0.769529\pi\)
\(174\) −4.74539 4.74539i −0.359747 0.359747i
\(175\) −0.973282 + 7.73717i −0.0735732 + 0.584875i
\(176\) −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 \(-0.814807\pi\)
−0.835474 + 0.549530i \(0.814807\pi\)
\(182\) 7.29766 3.36534i 0.540939 0.249455i
\(183\) −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
\(189\) −1.86746 + 14.8456i −0.135838 + 1.07986i
\(190\) −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 0.847324 0.531076i \(-0.178212\pi\)
−0.883587 + 0.468267i \(0.844879\pi\)
\(200\) 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
\(203\) 8.88485 11.7182i 0.623594 0.822457i
\(204\) 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
\(210\) −4.21813 + 1.77576i −0.291078 + 0.122539i
\(211\) 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
\(217\) −11.0001 14.1657i −0.746732 0.961632i
\(218\) −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 0.344680 0.938720i \(-0.387987\pi\)
0.767862 + 0.640616i \(0.221321\pi\)
\(224\) −14.0897 5.74124i −0.941410 0.383603i
\(225\) −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 \(-0.809409\pi\)
0.997177 0.0750896i \(-0.0239243\pi\)
\(228\) 3.00557 11.2169i 0.199049 0.742860i
\(229\) 2.94885 2.94885i 0.194865 0.194865i −0.602929 0.797795i \(-0.706000\pi\)
0.797795 + 0.602929i \(0.206000\pi\)
\(230\) −1.23399 + 0.712446i −0.0813671 + 0.0469773i
\(231\) 17.0455 + 6.94563i 1.12151 + 0.456989i
\(232\) −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
\(238\) 5.25138 4.07783i 0.340397 0.264327i
\(239\) 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 0.666086 0.745875i \(-0.267968\pi\)
0.203910 + 0.978990i \(0.434635\pi\)
\(242\) 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
\(245\) −5.11417 8.62679i −0.326733 0.551145i
\(246\) 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 \(0.146030\pi\)
−0.0647865 + 0.997899i \(0.520637\pi\)
\(252\) 2.57297 + 1.95085i 0.162082 + 0.122892i
\(253\) 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 −0.983721 0.179702i \(-0.942487\pi\)
0.647487 + 0.762077i \(0.275820\pi\)
\(258\) −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
\(266\) −13.8864 1.74681i −0.851430 0.107104i
\(267\) 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 0.387770 0.921756i \(-0.373246\pi\)
0.992149 + 0.125060i \(0.0399122\pi\)
\(270\) −5.91112 3.41279i −0.359739 0.207696i
\(271\) −1.70363 6.35804i −0.103488 0.386223i 0.894681 0.446706i \(-0.147403\pi\)
−0.998169 + 0.0604821i \(0.980736\pi\)
\(272\) 0.732458 0.0444118
\(273\) 4.73064 12.8277i 0.286311 0.776369i
\(274\) 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
\(280\) −1.31134 + 10.4246i −0.0783677 + 0.622990i
\(281\) 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 \(0.564925\pi\)
−0.746795 + 0.665054i \(0.768409\pi\)
\(284\) −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 −0.124937 0.992165i \(-0.539873\pi\)
−0.604281 + 0.796771i \(0.706540\pi\)
\(294\) −4.14124 + 7.36770i −0.241522 + 0.429693i
\(295\) 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
\(301\) 8.19206 3.44872i 0.472183 0.198781i
\(302\) −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 −0.535135 0.844767i \(-0.679739\pi\)
0.844767 + 0.535135i \(0.179739\pi\)
\(308\) 13.0881 10.1633i 0.745765 0.579106i
\(309\) −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 \(-0.495637\pi\)
0.0137049 + 0.999906i \(0.495637\pi\)
\(312\) −12.1570 + 7.57493i −0.688256 + 0.428846i
\(313\) 0.445328i 0.0251715i −0.999921 0.0125857i \(-0.995994\pi\)
0.999921 0.0125857i \(-0.00400627\pi\)
\(314\) −2.33430 + 0.625474i −0.131732 + 0.0352976i
\(315\) 1.35288 3.32014i 0.0762261 0.187069i
\(316\) −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
\(322\) −0.992951 + 2.43683i −0.0553350 + 0.135799i
\(323\) 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
\(329\) 12.2000 9.47364i 0.672610 0.522299i
\(330\) −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
\(336\) −0.858148 + 0.361266i −0.0468158 + 0.0197087i
\(337\) 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
\(343\) −17.2305 6.79047i −0.930359 0.366651i
\(344\) −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 \(0.0826723\pi\)
−0.708574 + 0.705637i \(0.750661\pi\)
\(350\) −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 −0.0943134 0.995543i \(-0.530066\pi\)
0.416093 + 0.909322i \(0.363399\pi\)
\(354\) 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
\(357\) 1.41179 11.2232i 0.0747201 0.593993i
\(358\) 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
\(364\) −7.87188 9.46258i −0.412599 0.495974i
\(365\) 0.715239 0.0374373
\(366\) −2.86912 10.7077i −0.149971 0.559700i
\(367\) 16.7399 + 9.66481i 0.873818 + 0.504499i 0.868615 0.495487i \(-0.165011\pi\)
0.00520293 + 0.999986i \(0.498344\pi\)
\(368\) −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
\(371\) −15.2074 1.91298i −0.789529 0.0993171i
\(372\) 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 \(0.288642\pi\)
−0.927474 + 0.373888i \(0.878024\pi\)
\(384\) 10.8450 + 2.90592i 0.553433 + 0.148292i
\(385\) −14.6613 11.1163i −0.747210 0.566542i
\(386\) 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
\(392\) 9.89455 + 16.6905i 0.499750 + 0.842998i
\(393\) −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 0.537591 0.843206i \(-0.319334\pi\)
0.0439649 + 0.999033i \(0.486001\pi\)
\(398\) 0.609447 0.609447i 0.0305488 0.0305488i
\(399\) −18.8070 + 14.6041i −0.941525 + 0.731119i
\(400\) −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
\(406\) 11.4726 + 4.67481i 0.569375 + 0.232007i
\(407\) −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 \(-0.771602\pi\)
0.981254 0.192720i \(-0.0617308\pi\)
\(410\) 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
\(413\) 27.2877 + 11.1191i 1.34274 + 0.547134i
\(414\) −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 0.290730 0.956805i \(-0.406102\pi\)
−0.683253 + 0.730182i \(0.739435\pi\)
\(420\) 4.29935 + 5.53664i 0.209787 + 0.270161i
\(421\) −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
\(427\) 22.3883 9.42507i 1.08344 0.456111i
\(428\) 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 0.673112 0.739541i \(-0.264957\pi\)
−0.977017 + 0.213162i \(0.931624\pi\)
\(434\) 9.12857 12.0396i 0.438185 0.577921i
\(435\) 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 \(-0.622622\pi\)
0.990442 0.137928i \(-0.0440442\pi\)
\(440\) 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
\(448\) 1.43754 11.4278i 0.0679173 0.539914i
\(449\) −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
\(455\) −7.88644 + 11.1619i −0.369722 + 0.523279i
\(456\) 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 \(0.248806\pi\)
−0.966890 + 0.255193i \(0.917861\pi\)
\(462\) −1.93529 + 15.3847i −0.0900376 + 0.715761i
\(463\) −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 \(-0.270700\pi\)
0.659661 + 0.751563i \(0.270700\pi\)
\(468\) 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
\(476\) −8.11481 6.15272i −0.371942 0.282010i
\(477\) −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 \(-0.812352\pi\)
0.441873 0.897078i \(-0.354314\pi\)
\(480\) 11.8080i 0.538961i
\(481\) 10.6629 + 17.1128i 0.486184 + 0.780278i
\(482\) 11.7792i 0.536527i
\(483\) 1.73700 + 4.12607i 0.0790364 + 0.187743i
\(484\) 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
\(490\) 5.90474 6.04248i 0.266749 0.272971i
\(491\) −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
\(497\) 8.09408 + 3.29815i 0.363069 + 0.147942i
\(498\) −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 −0.382949 0.923769i \(-0.625092\pi\)
0.608533 + 0.793529i \(0.291758\pi\)
\(504\) −2.61746 + 6.42358i −0.116591 + 0.286129i
\(505\) −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 0.431097 0.902306i \(-0.358127\pi\)
0.824494 + 0.565871i \(0.191460\pi\)
\(510\) 4.46878 + 2.58005i 0.197881 + 0.114246i
\(511\) 1.04324 0.810104i 0.0461503 0.0358369i
\(512\) 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
\(518\) −4.83614 11.4877i −0.212488 0.504743i
\(519\) 7.50681i 0.329513i
\(520\) 13.6980 4.16874i 0.600698 0.182811i
\(521\) 41.0128i 1.79680i −0.439173 0.898402i \(-0.644729\pi\)
0.439173 0.898402i \(-0.355271\pi\)
\(522\) 1.14625 + 4.27786i 0.0501699 + 0.187237i
\(523\) 38.4309 + 22.1881i 1.68047 + 0.970217i 0.961351 + 0.275325i \(0.0887854\pi\)
0.719114 + 0.694892i \(0.244548\pi\)
\(524\) 4.33133 + 7.50208i 0.189215 + 0.327730i
\(525\) −6.75266 + 8.90606i −0.294710 + 0.388692i
\(526\) 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
\(539\) −33.9756 + 0.391695i −1.46343 + 0.0168715i
\(540\) −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
\(546\) 11.4697 + 1.05252i 0.490856 + 0.0450436i
\(547\) −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
\(553\) 18.2553 + 2.29639i 0.776294 + 0.0976523i
\(554\) −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 0.842918 0.538042i \(-0.180836\pi\)
−0.887417 + 0.460967i \(0.847503\pi\)
\(564\) −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
\(567\) −8.42078 + 11.1061i −0.353640 + 0.466414i
\(568\) −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
\(574\) −4.22246 10.0300i −0.176242 0.418645i
\(575\) −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 0.853854 0.520513i \(-0.174259\pi\)
−0.520513 + 0.853854i \(0.674259\pi\)
\(578\) 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
\(581\) −7.40975 9.54218i −0.307408 0.395876i
\(582\) 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 −0.326722 0.945120i \(-0.605944\pi\)
0.189611 + 0.981859i \(0.439277\pi\)
\(588\) 12.5420 + 3.20612i 0.517223 + 0.132218i
\(589\) 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 \(0.654553\pi\)
−0.884422 + 0.466687i \(0.845447\pi\)
\(594\) −20.0271 + 11.5627i −0.821722 + 0.474422i
\(595\) −4.26680 + 10.4713i −0.174922 + 0.429281i
\(596\) −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 −0.336863 0.941554i \(-0.609366\pi\)
−0.983841 + 0.179045i \(0.942699\pi\)
\(602\) 4.59247 + 5.91412i 0.187175 + 0.241042i
\(603\) −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 −0.795006 0.606601i \(-0.792533\pi\)
0.127829 + 0.991796i \(0.459199\pi\)
\(608\) 18.0550 31.2722i 0.732226 1.26825i
\(609\) 19.4255 8.17782i 0.787162 0.331382i
\(610\) 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
\(616\) 28.3657 + 21.5071i 1.14289 + 0.866548i
\(617\) 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 −0.962862 0.269995i \(-0.912978\pi\)
0.269995 + 0.962862i \(0.412978\pi\)
\(620\) −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
\(630\) 2.99665 + 0.376957i 0.119389 + 0.0150183i
\(631\) 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
\(637\) 1.13927 + 25.2131i 0.0451394 + 0.998981i
\(638\) 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 −0.949616 0.313417i \(-0.898526\pi\)
0.979100 + 0.203381i \(0.0651930\pi\)
\(644\) 3.99885 + 0.503027i 0.157577 + 0.0198220i
\(645\) 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 −0.986008 0.166700i \(-0.946689\pi\)
0.637370 + 0.770558i \(0.280022\pi\)
\(648\) 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
\(658\) 10.3690 + 7.86185i 0.404225 + 0.306487i
\(659\) 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 0.943649 0.330948i \(-0.107368\pi\)
−0.982698 + 0.185215i \(0.940702\pi\)
\(662\) 12.5434i 0.487513i
\(663\) −14.7473 + 4.48807i −0.572738 + 0.174302i
\(664\) 12.6571i 0.491191i
\(665\) 21.9374 9.23528i 0.850697 0.358129i
\(666\) 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
\(672\) −13.3742 17.2231i −0.515920 0.664396i
\(673\) 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 \(0.199893\pi\)
−0.809214 + 0.587514i \(0.800107\pi\)
\(678\) −4.72035 + 1.26481i −0.181284 + 0.0485749i
\(679\) −9.38801 + 23.0394i −0.360279 + 0.884170i
\(680\) 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
\(686\) 1.76869 15.5014i 0.0675289 0.591847i
\(687\) 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 −0.345388 0.938460i \(-0.612253\pi\)
0.170115 + 0.985424i \(0.445586\pi\)
\(692\) 5.85280 + 3.37912i 0.222490 + 0.128455i
\(693\) −7.44992 9.59391i −0.282999 0.364442i
\(694\) −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
\(700\) 3.90411 + 9.27379i 0.147561 + 0.350516i
\(701\) 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
\(707\) −22.8377 + 30.1205i −0.858898 + 1.13280i
\(708\) −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 0.983350 0.181722i \(-0.0581672\pi\)
−0.649051 + 0.760745i \(0.724834\pi\)
\(720\) 0.235274 + 0.235274i 0.00876814 + 0.00876814i
\(721\) 19.5601 + 2.46052i 0.728457 + 0.0916347i
\(722\) 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 \(-0.292954\pi\)
0.605549 + 0.795808i \(0.292954\pi\)
\(728\) 15.2582 21.5953i 0.565505 0.800376i
\(729\) −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 0.0709685 0.997479i \(-0.477391\pi\)
−0.997479 + 0.0709685i \(0.977391\pi\)
\(734\) −4.21456 + 15.7290i −0.155562 + 0.580567i
\(735\) −0.165698 14.3726i −0.00611186 0.530143i
\(736\) −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
\(749\) −7.48523 + 9.87224i −0.273504 + 0.360724i
\(750\) −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
\(756\) 7.49093 + 17.7939i 0.272442 + 0.647158i
\(757\) 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 −0.283157 0.959074i \(-0.591382\pi\)
−0.724758 + 0.689003i \(0.758048\pi\)
\(762\) −10.5358 + 10.5358i −0.381670 + 0.381670i
\(763\) 8.98972 6.98075i 0.325450 0.252720i
\(764\) −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 −0.811696 0.584081i \(-0.801455\pi\)
−0.410909 + 0.911676i \(0.634789\pi\)
\(770\) 5.84893 14.3540i 0.210781 0.517283i
\(771\) −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 \(0.267381\pi\)
−0.950360 + 0.311152i \(0.899285\pi\)
\(774\) −0.692815 + 2.58562i −0.0249027