Properties

Label 91.2.r.a.51.3
Level $91$
Weight $2$
Character 91.51
Analytic conductor $0.727$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 11 x^{14} + 85 x^{12} - 334 x^{10} + 952 x^{8} - 1050 x^{6} + 853 x^{4} - 93 x^{2} + 9\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 51.3
Root \(0.929293 - 0.536527i\) of defining polynomial
Character \(\chi\) \(=\) 91.51
Dual form 91.2.r.a.25.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.929293 - 0.536527i) q^{2} +(1.21570 + 2.10566i) q^{3} +(-0.424277 - 0.734868i) q^{4} +(0.541640 + 0.312716i) q^{5} -2.60903i q^{6} +(2.34996 + 1.21561i) q^{7} +3.05665i q^{8} +(-1.45586 + 2.52163i) q^{9} +O(q^{10})\) \(q+(-0.929293 - 0.536527i) q^{2} +(1.21570 + 2.10566i) q^{3} +(-0.424277 - 0.734868i) q^{4} +(0.541640 + 0.312716i) q^{5} -2.60903i q^{6} +(2.34996 + 1.21561i) q^{7} +3.05665i q^{8} +(-1.45586 + 2.52163i) q^{9} +(-0.335561 - 0.581209i) q^{10} +(-0.613597 + 0.354260i) q^{11} +(1.03159 - 1.78676i) q^{12} +(0.848553 - 3.50428i) q^{13} +(-1.53159 - 2.39047i) q^{14} +1.52068i q^{15} +(0.791426 - 1.37079i) q^{16} +(-1.67157 - 2.89524i) q^{17} +(2.70585 - 1.56222i) q^{18} +(-4.50573 - 2.60138i) q^{19} -0.530712i q^{20} +(0.297185 + 6.42602i) q^{21} +0.760282 q^{22} +(-2.21570 + 3.83771i) q^{23} +(-6.43627 + 3.71598i) q^{24} +(-2.30442 - 3.99137i) q^{25} +(-2.66870 + 2.80123i) q^{26} +0.214623 q^{27} +(-0.103717 - 2.24266i) q^{28} -6.59711 q^{29} +(0.815886 - 1.41316i) q^{30} +(3.80238 - 2.19530i) q^{31} +(3.82335 - 2.20741i) q^{32} +(-1.49190 - 0.861351i) q^{33} +3.58737i q^{34} +(0.892689 + 1.39329i) q^{35} +2.47076 q^{36} +(-0.366683 - 0.211704i) q^{37} +(2.79143 + 4.83489i) q^{38} +(8.41040 - 2.47340i) q^{39} +(-0.955864 + 1.65561i) q^{40} +5.01604i q^{41} +(3.17157 - 6.13111i) q^{42} +11.2059 q^{43} +(0.520670 + 0.300609i) q^{44} +(-1.57711 + 0.910544i) q^{45} +(4.11807 - 2.37757i) q^{46} +(-6.99116 - 4.03635i) q^{47} +3.84855 q^{48} +(4.04458 + 5.71326i) q^{49} +4.94553i q^{50} +(4.06426 - 7.03950i) q^{51} +(-2.93520 + 0.863208i) q^{52} +(0.348553 + 0.603712i) q^{53} +(-0.199447 - 0.115151i) q^{54} -0.443132 q^{55} +(-3.71570 + 7.18300i) q^{56} -12.6500i q^{57} +(6.13065 + 3.53953i) q^{58} +(8.54177 - 4.93159i) q^{59} +(1.11750 - 0.645188i) q^{60} +(-2.34855 + 4.06781i) q^{61} -4.71136 q^{62} +(-6.48654 + 4.15596i) q^{63} -7.90305 q^{64} +(1.55545 - 1.63270i) q^{65} +(0.924277 + 1.60089i) q^{66} +(-9.02470 + 5.21041i) q^{67} +(-1.41841 + 2.45676i) q^{68} -10.7745 q^{69} +(-0.0820297 - 1.77373i) q^{70} +14.0876i q^{71} +(-7.70775 - 4.45007i) q^{72} +(-4.40273 + 2.54191i) q^{73} +(0.227170 + 0.393471i) q^{74} +(5.60297 - 9.70463i) q^{75} +4.41482i q^{76} +(-1.87257 + 0.0866008i) q^{77} +(-9.14277 - 2.21390i) q^{78} +(1.95586 - 3.38766i) q^{79} +(0.857336 - 0.494983i) q^{80} +(4.62851 + 8.01682i) q^{81} +(2.69124 - 4.66137i) q^{82} -10.2035i q^{83} +(4.59619 - 2.94480i) q^{84} -2.09090i q^{85} +(-10.4136 - 6.01230i) q^{86} +(-8.02012 - 13.8913i) q^{87} +(-1.08285 - 1.87555i) q^{88} +(11.5866 + 6.68955i) q^{89} +1.95413 q^{90} +(6.25390 - 7.20338i) q^{91} +3.76028 q^{92} +(9.24512 + 5.33767i) q^{93} +(4.33122 + 7.50190i) q^{94} +(-1.62699 - 2.81802i) q^{95} +(9.29610 + 5.36711i) q^{96} +0.202023i q^{97} +(-0.693276 - 7.47932i) q^{98} -2.06302i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 4q^{3} + 6q^{4} - 12q^{9} + O(q^{10}) \) \( 16q - 4q^{3} + 6q^{4} - 12q^{9} - 6q^{10} + 18q^{12} - 12q^{13} - 26q^{14} + 2q^{16} + 8q^{17} - 36q^{22} - 12q^{23} - 6q^{26} + 32q^{27} - 16q^{29} + 38q^{30} - 56q^{36} + 34q^{38} + 18q^{39} - 4q^{40} + 16q^{42} + 16q^{43} + 36q^{48} + 40q^{49} + 16q^{51} - 42q^{52} - 20q^{53} + 24q^{55} - 36q^{56} - 12q^{61} + 44q^{62} + 88q^{64} - 30q^{65} + 2q^{66} - 2q^{68} - 56q^{69} + 42q^{74} + 8q^{75} - 76q^{77} + 20q^{78} + 20q^{79} - 24q^{81} - 16q^{82} - 68q^{87} + 4q^{88} - 216q^{90} + 56q^{91} + 12q^{92} - 26q^{94} - 16q^{95} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.929293 0.536527i −0.657109 0.379382i 0.134065 0.990972i \(-0.457197\pi\)
−0.791175 + 0.611590i \(0.790530\pi\)
\(3\) 1.21570 + 2.10566i 0.701886 + 1.21570i 0.967804 + 0.251707i \(0.0809918\pi\)
−0.265918 + 0.963996i \(0.585675\pi\)
\(4\) −0.424277 0.734868i −0.212138 0.367434i
\(5\) 0.541640 + 0.312716i 0.242229 + 0.139851i 0.616201 0.787589i \(-0.288671\pi\)
−0.373972 + 0.927440i \(0.622004\pi\)
\(6\) 2.60903i 1.06513i
\(7\) 2.34996 + 1.21561i 0.888200 + 0.459458i
\(8\) 3.05665i 1.08069i
\(9\) −1.45586 + 2.52163i −0.485288 + 0.840544i
\(10\) −0.335561 0.581209i −0.106114 0.183795i
\(11\) −0.613597 + 0.354260i −0.185006 + 0.106814i −0.589643 0.807664i \(-0.700731\pi\)
0.404636 + 0.914478i \(0.367398\pi\)
\(12\) 1.03159 1.78676i 0.297794 0.515794i
\(13\) 0.848553 3.50428i 0.235346 0.971912i
\(14\) −1.53159 2.39047i −0.409334 0.638881i
\(15\) 1.52068i 0.392637i
\(16\) 0.791426 1.37079i 0.197856 0.342697i
\(17\) −1.67157 2.89524i −0.405414 0.702199i 0.588955 0.808166i \(-0.299539\pi\)
−0.994370 + 0.105967i \(0.966206\pi\)
\(18\) 2.70585 1.56222i 0.637775 0.368219i
\(19\) −4.50573 2.60138i −1.03368 0.596798i −0.115646 0.993290i \(-0.536894\pi\)
−0.918038 + 0.396492i \(0.870227\pi\)
\(20\) 0.530712i 0.118671i
\(21\) 0.297185 + 6.42602i 0.0648510 + 1.40227i
\(22\) 0.760282 0.162093
\(23\) −2.21570 + 3.83771i −0.462006 + 0.800218i −0.999061 0.0433296i \(-0.986203\pi\)
0.537055 + 0.843547i \(0.319537\pi\)
\(24\) −6.43627 + 3.71598i −1.31380 + 0.758522i
\(25\) −2.30442 3.99137i −0.460883 0.798274i
\(26\) −2.66870 + 2.80123i −0.523374 + 0.549366i
\(27\) 0.214623 0.0413042
\(28\) −0.103717 2.24266i −0.0196006 0.423824i
\(29\) −6.59711 −1.22505 −0.612526 0.790450i \(-0.709847\pi\)
−0.612526 + 0.790450i \(0.709847\pi\)
\(30\) 0.815886 1.41316i 0.148960 0.258006i
\(31\) 3.80238 2.19530i 0.682927 0.394288i −0.118030 0.993010i \(-0.537658\pi\)
0.800957 + 0.598722i \(0.204325\pi\)
\(32\) 3.82335 2.20741i 0.675879 0.390219i
\(33\) −1.49190 0.861351i −0.259707 0.149942i
\(34\) 3.58737i 0.615228i
\(35\) 0.892689 + 1.39329i 0.150892 + 0.235509i
\(36\) 2.47076 0.411793
\(37\) −0.366683 0.211704i −0.0602823 0.0348040i 0.469556 0.882903i \(-0.344414\pi\)
−0.529838 + 0.848099i \(0.677747\pi\)
\(38\) 2.79143 + 4.83489i 0.452829 + 0.784323i
\(39\) 8.41040 2.47340i 1.34674 0.396060i
\(40\) −0.955864 + 1.65561i −0.151135 + 0.261774i
\(41\) 5.01604i 0.783374i 0.920099 + 0.391687i \(0.128108\pi\)
−0.920099 + 0.391687i \(0.871892\pi\)
\(42\) 3.17157 6.13111i 0.489383 0.946050i
\(43\) 11.2059 1.70889 0.854445 0.519542i \(-0.173897\pi\)
0.854445 + 0.519542i \(0.173897\pi\)
\(44\) 0.520670 + 0.300609i 0.0784939 + 0.0453185i
\(45\) −1.57711 + 0.910544i −0.235101 + 0.135736i
\(46\) 4.11807 2.37757i 0.607177 0.350554i
\(47\) −6.99116 4.03635i −1.01977 0.588762i −0.105729 0.994395i \(-0.533718\pi\)
−0.914036 + 0.405633i \(0.867051\pi\)
\(48\) 3.84855 0.555491
\(49\) 4.04458 + 5.71326i 0.577797 + 0.816180i
\(50\) 4.94553i 0.699404i
\(51\) 4.06426 7.03950i 0.569110 0.985727i
\(52\) −2.93520 + 0.863208i −0.407040 + 0.119705i
\(53\) 0.348553 + 0.603712i 0.0478774 + 0.0829262i 0.888971 0.457964i \(-0.151421\pi\)
−0.841094 + 0.540890i \(0.818088\pi\)
\(54\) −0.199447 0.115151i −0.0271414 0.0156701i
\(55\) −0.443132 −0.0597519
\(56\) −3.71570 + 7.18300i −0.496532 + 0.959869i
\(57\) 12.6500i 1.67554i
\(58\) 6.13065 + 3.53953i 0.804993 + 0.464763i
\(59\) 8.54177 4.93159i 1.11204 0.642039i 0.172686 0.984977i \(-0.444756\pi\)
0.939358 + 0.342938i \(0.111422\pi\)
\(60\) 1.11750 0.645188i 0.144268 0.0832934i
\(61\) −2.34855 + 4.06781i −0.300701 + 0.520830i −0.976295 0.216444i \(-0.930554\pi\)
0.675594 + 0.737274i \(0.263887\pi\)
\(62\) −4.71136 −0.598344
\(63\) −6.48654 + 4.15596i −0.817227 + 0.523601i
\(64\) −7.90305 −0.987881
\(65\) 1.55545 1.63270i 0.192930 0.202512i
\(66\) 0.924277 + 1.60089i 0.113771 + 0.197056i
\(67\) −9.02470 + 5.21041i −1.10254 + 0.636553i −0.936888 0.349631i \(-0.886307\pi\)
−0.165655 + 0.986184i \(0.552974\pi\)
\(68\) −1.41841 + 2.45676i −0.172008 + 0.297926i
\(69\) −10.7745 −1.29710
\(70\) −0.0820297 1.77373i −0.00980443 0.212001i
\(71\) 14.0876i 1.67189i 0.548812 + 0.835946i \(0.315080\pi\)
−0.548812 + 0.835946i \(0.684920\pi\)
\(72\) −7.70775 4.45007i −0.908368 0.524446i
\(73\) −4.40273 + 2.54191i −0.515300 + 0.297509i −0.735010 0.678057i \(-0.762822\pi\)
0.219710 + 0.975565i \(0.429489\pi\)
\(74\) 0.227170 + 0.393471i 0.0264080 + 0.0457400i
\(75\) 5.60297 9.70463i 0.646975 1.12059i
\(76\) 4.41482i 0.506415i
\(77\) −1.87257 + 0.0866008i −0.213399 + 0.00986908i
\(78\) −9.14277 2.21390i −1.03521 0.250675i
\(79\) 1.95586 3.38766i 0.220052 0.381141i −0.734772 0.678315i \(-0.762711\pi\)
0.954823 + 0.297174i \(0.0960440\pi\)
\(80\) 0.857336 0.494983i 0.0958530 0.0553408i
\(81\) 4.62851 + 8.01682i 0.514279 + 0.890757i
\(82\) 2.69124 4.66137i 0.297198 0.514762i
\(83\) 10.2035i 1.11998i −0.828499 0.559990i \(-0.810805\pi\)
0.828499 0.559990i \(-0.189195\pi\)
\(84\) 4.59619 2.94480i 0.501486 0.321304i
\(85\) 2.09090i 0.226790i
\(86\) −10.4136 6.01230i −1.12293 0.648323i
\(87\) −8.02012 13.8913i −0.859847 1.48930i
\(88\) −1.08285 1.87555i −0.115432 0.199935i
\(89\) 11.5866 + 6.68955i 1.22818 + 0.709090i 0.966649 0.256104i \(-0.0824391\pi\)
0.261532 + 0.965195i \(0.415772\pi\)
\(90\) 1.95413 0.205983
\(91\) 6.25390 7.20338i 0.655587 0.755120i
\(92\) 3.76028 0.392036
\(93\) 9.24512 + 5.33767i 0.958674 + 0.553491i
\(94\) 4.33122 + 7.50190i 0.446731 + 0.773761i
\(95\) −1.62699 2.81802i −0.166925 0.289123i
\(96\) 9.29610 + 5.36711i 0.948780 + 0.547778i
\(97\) 0.202023i 0.0205123i 0.999947 + 0.0102562i \(0.00326470\pi\)
−0.999947 + 0.0102562i \(0.996735\pi\)
\(98\) −0.693276 7.47932i −0.0700315 0.755526i
\(99\) 2.06302i 0.207341i
\(100\) −1.95542 + 3.38689i −0.195542 + 0.338689i
\(101\) −8.66723 15.0121i −0.862421 1.49376i −0.869585 0.493783i \(-0.835614\pi\)
0.00716374 0.999974i \(-0.497720\pi\)
\(102\) −7.55377 + 4.36117i −0.747934 + 0.431820i
\(103\) −5.40739 + 9.36587i −0.532806 + 0.922847i 0.466460 + 0.884542i \(0.345529\pi\)
−0.999266 + 0.0383047i \(0.987804\pi\)
\(104\) 10.7114 + 2.59373i 1.05034 + 0.254336i
\(105\) −1.84855 + 3.57353i −0.180400 + 0.348740i
\(106\) 0.748033i 0.0726554i
\(107\) 3.05839 5.29729i 0.295666 0.512108i −0.679474 0.733700i \(-0.737792\pi\)
0.975140 + 0.221592i \(0.0711252\pi\)
\(108\) −0.0910594 0.157720i −0.00876220 0.0151766i
\(109\) −9.87196 + 5.69958i −0.945563 + 0.545921i −0.891700 0.452628i \(-0.850487\pi\)
−0.0538629 + 0.998548i \(0.517153\pi\)
\(110\) 0.411799 + 0.237752i 0.0392635 + 0.0226688i
\(111\) 1.02948i 0.0977137i
\(112\) 3.52616 2.25923i 0.333191 0.213477i
\(113\) −0.923456 −0.0868714 −0.0434357 0.999056i \(-0.513830\pi\)
−0.0434357 + 0.999056i \(0.513830\pi\)
\(114\) −6.78709 + 11.7556i −0.635669 + 1.10101i
\(115\) −2.40023 + 1.38577i −0.223822 + 0.129224i
\(116\) 2.79900 + 4.84801i 0.259880 + 0.450126i
\(117\) 7.60112 + 7.24149i 0.702723 + 0.669476i
\(118\) −10.5837 −0.974312
\(119\) −0.408623 8.83566i −0.0374584 0.809963i
\(120\) −4.64819 −0.424319
\(121\) −5.24900 + 9.09153i −0.477182 + 0.826503i
\(122\) 4.36499 2.52013i 0.395187 0.228162i
\(123\) −10.5621 + 6.09801i −0.952349 + 0.549839i
\(124\) −3.22652 1.86283i −0.289750 0.167287i
\(125\) 6.00967i 0.537521i
\(126\) 8.25768 0.381893i 0.735652 0.0340218i
\(127\) 8.50972 0.755116 0.377558 0.925986i \(-0.376764\pi\)
0.377558 + 0.925986i \(0.376764\pi\)
\(128\) −0.302447 0.174618i −0.0267328 0.0154342i
\(129\) 13.6231 + 23.5959i 1.19945 + 2.07750i
\(130\) −2.32146 + 0.682713i −0.203606 + 0.0598779i
\(131\) 3.50152 6.06482i 0.305930 0.529885i −0.671538 0.740970i \(-0.734366\pi\)
0.977468 + 0.211084i \(0.0676995\pi\)
\(132\) 1.46180i 0.127234i
\(133\) −7.42599 11.5903i −0.643915 1.00501i
\(134\) 11.1821 0.965988
\(135\) 0.116248 + 0.0671160i 0.0100051 + 0.00577642i
\(136\) 8.84974 5.10940i 0.758859 0.438128i
\(137\) −5.38403 + 3.10847i −0.459989 + 0.265575i −0.712040 0.702139i \(-0.752228\pi\)
0.252051 + 0.967714i \(0.418895\pi\)
\(138\) 10.0127 + 5.78084i 0.852338 + 0.492097i
\(139\) 6.53140 0.553986 0.276993 0.960872i \(-0.410662\pi\)
0.276993 + 0.960872i \(0.410662\pi\)
\(140\) 0.645140 1.24715i 0.0545242 0.105403i
\(141\) 19.6280i 1.65297i
\(142\) 7.55839 13.0915i 0.634286 1.09862i
\(143\) 0.720757 + 2.45082i 0.0602727 + 0.204948i
\(144\) 2.30442 + 3.99137i 0.192035 + 0.332614i
\(145\) −3.57326 2.06302i −0.296743 0.171325i
\(146\) 5.45523 0.451478
\(147\) −7.11317 + 15.4621i −0.586685 + 1.27529i
\(148\) 0.359285i 0.0295330i
\(149\) −3.20203 1.84869i −0.262320 0.151451i 0.363072 0.931761i \(-0.381728\pi\)
−0.625393 + 0.780310i \(0.715061\pi\)
\(150\) −10.4136 + 6.01230i −0.850267 + 0.490902i
\(151\) −4.22425 + 2.43887i −0.343764 + 0.198473i −0.661935 0.749561i \(-0.730265\pi\)
0.318171 + 0.948033i \(0.396931\pi\)
\(152\) 7.95152 13.7724i 0.644954 1.11709i
\(153\) 9.73430 0.786971
\(154\) 1.78663 + 0.924207i 0.143971 + 0.0744747i
\(155\) 2.74603 0.220566
\(156\) −5.38595 5.13113i −0.431221 0.410819i
\(157\) 4.75984 + 8.24428i 0.379876 + 0.657965i 0.991044 0.133536i \(-0.0426332\pi\)
−0.611168 + 0.791501i \(0.709300\pi\)
\(158\) −3.63514 + 2.09875i −0.289196 + 0.166968i
\(159\) −0.847473 + 1.46787i −0.0672090 + 0.116409i
\(160\) 2.76117 0.218290
\(161\) −9.87196 + 6.32501i −0.778020 + 0.498481i
\(162\) 9.93329i 0.780433i
\(163\) 20.5325 + 11.8544i 1.60823 + 0.928511i 0.989767 + 0.142696i \(0.0455770\pi\)
0.618461 + 0.785815i \(0.287756\pi\)
\(164\) 3.68613 2.12819i 0.287838 0.166184i
\(165\) −0.538716 0.933084i −0.0419390 0.0726405i
\(166\) −5.47446 + 9.48204i −0.424901 + 0.735949i
\(167\) 1.13193i 0.0875914i 0.999041 + 0.0437957i \(0.0139451\pi\)
−0.999041 + 0.0437957i \(0.986055\pi\)
\(168\) −19.6421 + 0.908391i −1.51542 + 0.0700839i
\(169\) −11.5599 5.94713i −0.889224 0.457472i
\(170\) −1.12183 + 1.94306i −0.0860402 + 0.149026i
\(171\) 13.1195 7.57452i 1.00327 0.579238i
\(172\) −4.75442 8.23489i −0.362521 0.627905i
\(173\) 5.99458 10.3829i 0.455760 0.789399i −0.542972 0.839751i \(-0.682701\pi\)
0.998732 + 0.0503522i \(0.0160344\pi\)
\(174\) 17.2121i 1.30484i
\(175\) −0.563327 12.1808i −0.0425835 0.920783i
\(176\) 1.12148i 0.0845350i
\(177\) 20.7685 + 11.9907i 1.56106 + 0.901276i
\(178\) −7.17825 12.4331i −0.538033 0.931900i
\(179\) 4.73538 + 8.20192i 0.353939 + 0.613040i 0.986936 0.161114i \(-0.0515088\pi\)
−0.632997 + 0.774154i \(0.718175\pi\)
\(180\) 1.33826 + 0.772645i 0.0997480 + 0.0575896i
\(181\) −11.4314 −0.849690 −0.424845 0.905266i \(-0.639671\pi\)
−0.424845 + 0.905266i \(0.639671\pi\)
\(182\) −9.67652 + 3.33866i −0.717271 + 0.247478i
\(183\) −11.4206 −0.844233
\(184\) −11.7305 6.77264i −0.864788 0.499285i
\(185\) −0.132407 0.229335i −0.00973473 0.0168611i
\(186\) −5.72761 9.92052i −0.419969 0.727408i
\(187\) 2.05134 + 1.18434i 0.150009 + 0.0866075i
\(188\) 6.85011i 0.499595i
\(189\) 0.504354 + 0.260898i 0.0366864 + 0.0189775i
\(190\) 3.49169i 0.253314i
\(191\) −7.84377 + 13.5858i −0.567555 + 0.983034i 0.429252 + 0.903185i \(0.358777\pi\)
−0.996807 + 0.0798496i \(0.974556\pi\)
\(192\) −9.60776 16.6411i −0.693380 1.20097i
\(193\) 19.9248 11.5036i 1.43422 0.828045i 0.436776 0.899570i \(-0.356120\pi\)
0.997439 + 0.0715256i \(0.0227868\pi\)
\(194\) 0.108391 0.187739i 0.00778202 0.0134788i
\(195\) 5.32888 + 1.29038i 0.381609 + 0.0924057i
\(196\) 2.48248 5.39624i 0.177320 0.385446i
\(197\) 10.2035i 0.726970i 0.931600 + 0.363485i \(0.118413\pi\)
−0.931600 + 0.363485i \(0.881587\pi\)
\(198\) −1.10687 + 1.91715i −0.0786616 + 0.136246i
\(199\) 5.96173 + 10.3260i 0.422616 + 0.731992i 0.996194 0.0871586i \(-0.0277787\pi\)
−0.573579 + 0.819150i \(0.694445\pi\)
\(200\) 12.2002 7.04381i 0.862687 0.498072i
\(201\) −21.9427 12.6686i −1.54772 0.893576i
\(202\) 18.6008i 1.30875i
\(203\) −15.5029 8.01952i −1.08809 0.562860i
\(204\) −6.89747 −0.482920
\(205\) −1.56860 + 2.71689i −0.109555 + 0.189756i
\(206\) 10.0501 5.80243i 0.700223 0.404274i
\(207\) −6.45152 11.1744i −0.448412 0.776672i
\(208\) −4.13206 3.93656i −0.286507 0.272952i
\(209\) 3.68627 0.254984
\(210\) 3.63514 2.32905i 0.250849 0.160720i
\(211\) −15.5893 −1.07321 −0.536606 0.843833i \(-0.680294\pi\)
−0.536606 + 0.843833i \(0.680294\pi\)
\(212\) 0.295766 0.512281i 0.0203133 0.0351836i
\(213\) −29.6637 + 17.1263i −2.03252 + 1.17348i
\(214\) −5.68428 + 3.28182i −0.388570 + 0.224341i
\(215\) 6.06959 + 3.50428i 0.413942 + 0.238990i
\(216\) 0.656028i 0.0446370i
\(217\) 11.6041 0.536653i 0.787734 0.0364304i
\(218\) 12.2319 0.828451
\(219\) −10.7048 6.18042i −0.723364 0.417634i
\(220\) 0.188010 + 0.325643i 0.0126757 + 0.0219549i
\(221\) −11.5641 + 3.40087i −0.777888 + 0.228767i
\(222\) −0.552343 + 0.956687i −0.0370709 + 0.0642086i
\(223\) 6.76662i 0.453126i −0.973996 0.226563i \(-0.927251\pi\)
0.973996 0.226563i \(-0.0727490\pi\)
\(224\) 11.6680 0.539613i 0.779604 0.0360544i
\(225\) 13.4197 0.894645
\(226\) 0.858161 + 0.495459i 0.0570840 + 0.0329575i
\(227\) 14.5704 8.41225i 0.967074 0.558340i 0.0687311 0.997635i \(-0.478105\pi\)
0.898343 + 0.439295i \(0.144772\pi\)
\(228\) −9.29610 + 5.36711i −0.615650 + 0.355445i
\(229\) 9.54855 + 5.51286i 0.630986 + 0.364300i 0.781134 0.624364i \(-0.214642\pi\)
−0.150148 + 0.988664i \(0.547975\pi\)
\(230\) 2.97402 0.196101
\(231\) −2.45884 3.83771i −0.161780 0.252503i
\(232\) 20.1651i 1.32390i
\(233\) 8.67743 15.0298i 0.568477 0.984632i −0.428239 0.903665i \(-0.640866\pi\)
0.996717 0.0809664i \(-0.0258006\pi\)
\(234\) −3.17840 10.8077i −0.207779 0.706520i
\(235\) −2.52446 4.37249i −0.164678 0.285230i
\(236\) −7.24814 4.18472i −0.471814 0.272402i
\(237\) 9.51100 0.617806
\(238\) −4.36084 + 8.43015i −0.282671 + 0.546445i
\(239\) 19.7223i 1.27573i 0.770148 + 0.637865i \(0.220182\pi\)
−0.770148 + 0.637865i \(0.779818\pi\)
\(240\) 2.08453 + 1.20350i 0.134556 + 0.0776858i
\(241\) −2.41112 + 1.39206i −0.155314 + 0.0896706i −0.575643 0.817701i \(-0.695248\pi\)
0.420329 + 0.907372i \(0.361915\pi\)
\(242\) 9.75571 5.63246i 0.627121 0.362069i
\(243\) −10.9318 + 18.9345i −0.701278 + 1.21465i
\(244\) 3.98574 0.255161
\(245\) 0.404077 + 4.35934i 0.0258155 + 0.278508i
\(246\) 13.0870 0.834397
\(247\) −12.9393 + 13.5819i −0.823309 + 0.864196i
\(248\) 6.71028 + 11.6226i 0.426103 + 0.738033i
\(249\) 21.4851 12.4044i 1.36156 0.786098i
\(250\) −3.22435 + 5.58475i −0.203926 + 0.353210i
\(251\) −23.5608 −1.48714 −0.743572 0.668655i \(-0.766870\pi\)
−0.743572 + 0.668655i \(0.766870\pi\)
\(252\) 5.80617 + 3.00348i 0.365754 + 0.189201i
\(253\) 3.13974i 0.197394i
\(254\) −7.90803 4.56570i −0.496194 0.286478i
\(255\) 4.40273 2.54191i 0.275709 0.159181i
\(256\) 8.09042 + 14.0130i 0.505651 + 0.875814i
\(257\) −1.71615 + 2.97245i −0.107050 + 0.185417i −0.914574 0.404419i \(-0.867474\pi\)
0.807524 + 0.589835i \(0.200807\pi\)
\(258\) 29.2367i 1.82019i
\(259\) −0.604338 0.943239i −0.0375517 0.0586100i
\(260\) −1.85976 0.450337i −0.115338 0.0279287i
\(261\) 9.60450 16.6355i 0.594503 1.02971i
\(262\) −6.50788 + 3.75733i −0.402058 + 0.232128i
\(263\) 10.7245 + 18.5754i 0.661303 + 1.14541i 0.980273 + 0.197646i \(0.0633298\pi\)
−0.318970 + 0.947765i \(0.603337\pi\)
\(264\) 2.63285 4.56023i 0.162041 0.280663i
\(265\) 0.435992i 0.0267828i
\(266\) 0.682378 + 14.7551i 0.0418393 + 0.904691i
\(267\) 32.5300i 1.99080i
\(268\) 7.65794 + 4.42131i 0.467783 + 0.270075i
\(269\) −7.32843 12.6932i −0.446822 0.773919i 0.551355 0.834271i \(-0.314111\pi\)
−0.998177 + 0.0603517i \(0.980778\pi\)
\(270\) −0.0720191 0.124741i −0.00438294 0.00759148i
\(271\) −1.76986 1.02183i −0.107511 0.0620717i 0.445280 0.895391i \(-0.353104\pi\)
−0.552792 + 0.833320i \(0.686437\pi\)
\(272\) −5.29168 −0.320856
\(273\) 22.7707 + 4.41140i 1.37815 + 0.266990i
\(274\) 6.67112 0.403017
\(275\) 2.82797 + 1.63273i 0.170533 + 0.0984572i
\(276\) 4.57138 + 7.91787i 0.275165 + 0.476600i
\(277\) −2.71678 4.70560i −0.163236 0.282732i 0.772792 0.634660i \(-0.218860\pi\)
−0.936027 + 0.351927i \(0.885526\pi\)
\(278\) −6.06959 3.50428i −0.364030 0.210173i
\(279\) 12.7843i 0.765373i
\(280\) −4.25881 + 2.72864i −0.254513 + 0.163067i
\(281\) 20.2356i 1.20715i −0.797305 0.603577i \(-0.793742\pi\)
0.797305 0.603577i \(-0.206258\pi\)
\(282\) −10.5310 + 18.2401i −0.627109 + 1.08618i
\(283\) 0.867593 + 1.50272i 0.0515731 + 0.0893272i 0.890659 0.454671i \(-0.150243\pi\)
−0.839086 + 0.543998i \(0.816910\pi\)
\(284\) 10.3525 5.97704i 0.614310 0.354672i
\(285\) 3.95586 6.85176i 0.234325 0.405863i
\(286\) 0.645140 2.66424i 0.0381479 0.157540i
\(287\) −6.09755 + 11.7875i −0.359927 + 0.695792i
\(288\) 12.8548i 0.757474i
\(289\) 2.91173 5.04326i 0.171278 0.296662i
\(290\) 2.21373 + 3.83430i 0.129995 + 0.225158i
\(291\) −0.425392 + 0.245600i −0.0249369 + 0.0143973i
\(292\) 3.73595 + 2.15695i 0.218630 + 0.126226i
\(293\) 27.2441i 1.59162i −0.605547 0.795810i \(-0.707046\pi\)
0.605547 0.795810i \(-0.292954\pi\)
\(294\) 14.9061 10.5524i 0.869340 0.615430i
\(295\) 6.16875 0.359159
\(296\) 0.647107 1.12082i 0.0376123 0.0651465i
\(297\) −0.131692 + 0.0760324i −0.00764154 + 0.00441185i
\(298\) 1.98375 + 3.43595i 0.114915 + 0.199039i
\(299\) 11.5683 + 11.0209i 0.669009 + 0.637357i
\(300\) −9.50884 −0.548993
\(301\) 26.3335 + 13.6221i 1.51784 + 0.785163i
\(302\) 5.23409 0.301188
\(303\) 21.0735 36.5004i 1.21064 2.09690i
\(304\) −7.13190 + 4.11760i −0.409042 + 0.236161i
\(305\) −2.54414 + 1.46886i −0.145677 + 0.0841067i
\(306\) −9.04601 5.22272i −0.517126 0.298563i
\(307\) 12.7138i 0.725612i −0.931865 0.362806i \(-0.881819\pi\)
0.931865 0.362806i \(-0.118181\pi\)
\(308\) 0.858127 + 1.33935i 0.0488963 + 0.0763165i
\(309\) −26.2951 −1.49588
\(310\) −2.55186 1.47332i −0.144936 0.0836788i
\(311\) 4.80939 + 8.33011i 0.272716 + 0.472357i 0.969556 0.244869i \(-0.0787448\pi\)
−0.696841 + 0.717226i \(0.745412\pi\)
\(312\) 7.56031 + 25.7077i 0.428018 + 1.45541i
\(313\) 4.51273 7.81628i 0.255075 0.441802i −0.709841 0.704362i \(-0.751233\pi\)
0.964916 + 0.262559i \(0.0845666\pi\)
\(314\) 10.2151i 0.576473i
\(315\) −4.81300 + 0.222587i −0.271182 + 0.0125414i
\(316\) −3.31931 −0.186726
\(317\) −21.3269 12.3131i −1.19784 0.691572i −0.237766 0.971323i \(-0.576415\pi\)
−0.960073 + 0.279750i \(0.909748\pi\)
\(318\) 1.57510 0.909386i 0.0883273 0.0509958i
\(319\) 4.04797 2.33709i 0.226643 0.130852i
\(320\) −4.28061 2.47141i −0.239293 0.138156i
\(321\) 14.8724 0.830095
\(322\) 12.5675 0.581209i 0.700359 0.0323895i
\(323\) 17.3935i 0.967802i
\(324\) 3.92754 6.80269i 0.218196 0.377927i
\(325\) −15.9423 + 4.68843i −0.884319 + 0.260067i
\(326\) −12.7205 22.0325i −0.704521 1.22027i
\(327\) −24.0027 13.8580i −1.32735 0.766348i
\(328\) −15.3323 −0.846584
\(329\) −11.5223 17.9838i −0.635244 0.991477i
\(330\) 1.15614i 0.0636436i
\(331\) −11.4071 6.58591i −0.626993 0.361994i 0.152594 0.988289i \(-0.451237\pi\)
−0.779586 + 0.626295i \(0.784571\pi\)
\(332\) −7.49823 + 4.32911i −0.411519 + 0.237591i
\(333\) 1.06768 0.616426i 0.0585085 0.0337799i
\(334\) 0.607311 1.05189i 0.0332306 0.0575571i
\(335\) −6.51752 −0.356090
\(336\) 9.04393 + 4.67834i 0.493387 + 0.255225i
\(337\) 17.0307 0.927720 0.463860 0.885909i \(-0.346464\pi\)
0.463860 + 0.885909i \(0.346464\pi\)
\(338\) 7.55175 + 11.7288i 0.410761 + 0.637965i
\(339\) −1.12265 1.94448i −0.0609738 0.105610i
\(340\) −1.53654 + 0.887121i −0.0833305 + 0.0481109i
\(341\) −1.55542 + 2.69406i −0.0842306 + 0.145892i
\(342\) −16.2558 −0.879010
\(343\) 2.55948 + 18.3425i 0.138199 + 0.990405i
\(344\) 34.2527i 1.84678i
\(345\) −5.83592 3.36937i −0.314195 0.181401i
\(346\) −11.1414 + 6.43251i −0.598968 + 0.345814i
\(347\) −0.229959 0.398300i −0.0123448 0.0213819i 0.859787 0.510653i \(-0.170596\pi\)
−0.872132 + 0.489271i \(0.837263\pi\)
\(348\) −6.80550 + 11.7875i −0.364813 + 0.631875i
\(349\) 6.87822i 0.368183i 0.982909 + 0.184091i \(0.0589342\pi\)
−0.982909 + 0.184091i \(0.941066\pi\)
\(350\) −6.01184 + 11.6218i −0.321347 + 0.621210i
\(351\) 0.182119 0.752098i 0.00972078 0.0401440i
\(352\) −1.56400 + 2.70892i −0.0833613 + 0.144386i
\(353\) 1.32784 0.766631i 0.0706740 0.0408036i −0.464247 0.885706i \(-0.653675\pi\)
0.534921 + 0.844902i \(0.320342\pi\)
\(354\) −12.8667 22.2857i −0.683856 1.18447i
\(355\) −4.40542 + 7.63041i −0.233815 + 0.404980i
\(356\) 11.3529i 0.601701i
\(357\) 18.1081 11.6019i 0.958383 0.614040i
\(358\) 10.1626i 0.537112i
\(359\) −23.5617 13.6034i −1.24354 0.717959i −0.273728 0.961807i \(-0.588257\pi\)
−0.969813 + 0.243848i \(0.921590\pi\)
\(360\) −2.78322 4.82068i −0.146688 0.254072i
\(361\) 4.03438 + 6.98774i 0.212336 + 0.367776i
\(362\) 10.6231 + 6.13326i 0.558339 + 0.322357i
\(363\) −25.5249 −1.33971
\(364\) −7.94692 1.53957i −0.416532 0.0806952i
\(365\) −3.17959 −0.166427
\(366\) 10.6131 + 6.12745i 0.554753 + 0.320287i
\(367\) −13.4907 23.3666i −0.704208 1.21972i −0.966977 0.254865i \(-0.917969\pi\)
0.262769 0.964859i \(-0.415364\pi\)
\(368\) 3.50713 + 6.07452i 0.182822 + 0.316656i
\(369\) −12.6486 7.30267i −0.658460 0.380162i
\(370\) 0.284159i 0.0147727i
\(371\) 0.0852056 + 1.84240i 0.00442365 + 0.0956526i
\(372\) 9.05859i 0.469666i
\(373\) −1.98619 + 3.44018i −0.102841 + 0.178126i −0.912854 0.408286i \(-0.866127\pi\)
0.810013 + 0.586412i \(0.199460\pi\)
\(374\) −1.27086 2.20120i −0.0657147 0.113821i
\(375\) 12.6543 7.30597i 0.653466 0.377279i
\(376\) 12.3377 21.3695i 0.636269 1.10205i
\(377\) −5.59800 + 23.1181i −0.288311 + 1.19064i
\(378\) −0.328714 0.513050i −0.0169072 0.0263885i
\(379\) 11.4059i 0.585884i −0.956130 0.292942i \(-0.905366\pi\)
0.956130 0.292942i \(-0.0946343\pi\)
\(380\) −1.38058 + 2.39124i −0.0708225 + 0.122668i
\(381\) 10.3453 + 17.9186i 0.530005 + 0.917996i
\(382\) 14.5783 8.41680i 0.745892 0.430641i
\(383\) 20.6044 + 11.8960i 1.05284 + 0.607856i 0.923442 0.383737i \(-0.125363\pi\)
0.129395 + 0.991593i \(0.458696\pi\)
\(384\) 0.849134i 0.0433322i
\(385\) −1.04134 0.538676i −0.0530716 0.0274535i
\(386\) −24.6879 −1.25658
\(387\) −16.3143 + 28.2573i −0.829304 + 1.43640i
\(388\) 0.148460 0.0857137i 0.00753694 0.00435145i
\(389\) −14.2055 24.6046i −0.720247 1.24751i −0.960901 0.276894i \(-0.910695\pi\)
0.240653 0.970611i \(-0.422638\pi\)
\(390\) −4.25977 4.05823i −0.215702 0.205496i
\(391\) 14.8148 0.749216
\(392\) −17.4635 + 12.3629i −0.882038 + 0.624420i
\(393\) 17.0272 0.858911
\(394\) 5.47446 9.48204i 0.275799 0.477698i
\(395\) 2.11875 1.22326i 0.106606 0.0615489i
\(396\) −1.51605 + 0.875291i −0.0761843 + 0.0439850i
\(397\) −8.53825 4.92956i −0.428522 0.247408i 0.270195 0.962806i \(-0.412912\pi\)
−0.698717 + 0.715398i \(0.746245\pi\)
\(398\) 12.7945i 0.641332i
\(399\) 15.3775 29.7270i 0.769838 1.48821i
\(400\) −7.29510 −0.364755
\(401\) 10.9287 + 6.30971i 0.545756 + 0.315092i 0.747408 0.664365i \(-0.231298\pi\)
−0.201653 + 0.979457i \(0.564631\pi\)
\(402\) 13.5941 + 23.5457i 0.678013 + 1.17435i
\(403\) −4.46643 15.1874i −0.222489 0.756539i
\(404\) −7.35460 + 12.7385i −0.365905 + 0.633766i
\(405\) 5.78964i 0.287689i
\(406\) 10.1041 + 15.7702i 0.501456 + 0.782663i
\(407\) 0.299994 0.0148701
\(408\) 21.5173 + 12.4230i 1.06527 + 0.615031i
\(409\) −15.6381 + 9.02867i −0.773255 + 0.446439i −0.834035 0.551712i \(-0.813975\pi\)
0.0607793 + 0.998151i \(0.480641\pi\)
\(410\) 2.91537 1.68319i 0.143980 0.0831268i
\(411\) −13.0908 7.55795i −0.645720 0.372806i
\(412\) 9.17691 0.452114
\(413\) 26.0677 1.20555i 1.28271 0.0593214i
\(414\) 13.8457i 0.680478i
\(415\) 3.19080 5.52663i 0.156630 0.271291i
\(416\) −4.49107 15.2712i −0.220193 0.748731i
\(417\) 7.94024 + 13.7529i 0.388835 + 0.673483i
\(418\) −3.42562 1.97778i −0.167553 0.0967366i
\(419\) 14.2805 0.697647 0.348823 0.937188i \(-0.386581\pi\)
0.348823 + 0.937188i \(0.386581\pi\)
\(420\) 3.41037 0.157720i 0.166409 0.00769593i
\(421\) 4.27439i 0.208321i 0.994561 + 0.104160i \(0.0332155\pi\)
−0.994561 + 0.104160i \(0.966784\pi\)
\(422\) 14.4870 + 8.36410i 0.705218 + 0.407158i
\(423\) 20.3564 11.7527i 0.989760 0.571438i
\(424\) −1.84534 + 1.06541i −0.0896175 + 0.0517407i
\(425\) −7.70398 + 13.3437i −0.373698 + 0.647263i
\(426\) 36.7550 1.78079
\(427\) −10.4639 + 6.70425i −0.506382 + 0.324441i
\(428\) −5.19042 −0.250888
\(429\) −4.28437 + 4.49714i −0.206851 + 0.217124i
\(430\) −3.76028 6.51300i −0.181337 0.314085i
\(431\) 12.6498 7.30335i 0.609318 0.351790i −0.163381 0.986563i \(-0.552240\pi\)
0.772698 + 0.634773i \(0.218906\pi\)
\(432\) 0.169858 0.294203i 0.00817230 0.0141548i
\(433\) 28.0099 1.34607 0.673035 0.739611i \(-0.264991\pi\)
0.673035 + 0.739611i \(0.264991\pi\)
\(434\) −11.0715 5.72718i −0.531449 0.274914i
\(435\) 10.0321i 0.481001i
\(436\) 8.37688 + 4.83640i 0.401180 + 0.231621i
\(437\) 19.9667 11.5278i 0.955137 0.551448i
\(438\) 6.63193 + 11.4868i 0.316886 + 0.548863i
\(439\) 8.53872 14.7895i 0.407531 0.705864i −0.587082 0.809528i \(-0.699723\pi\)
0.994612 + 0.103664i \(0.0330566\pi\)
\(440\) 1.35450i 0.0645733i
\(441\) −20.2951 + 1.88120i −0.966433 + 0.0895810i
\(442\) 12.5711 + 3.04407i 0.597947 + 0.144792i
\(443\) −6.90783 + 11.9647i −0.328201 + 0.568461i −0.982155 0.188073i \(-0.939776\pi\)
0.653954 + 0.756534i \(0.273109\pi\)
\(444\) −0.756531 + 0.436783i −0.0359034 + 0.0207288i
\(445\) 4.18386 + 7.24665i 0.198334 + 0.343524i
\(446\) −3.63048 + 6.28817i −0.171908 + 0.297754i
\(447\) 8.98984i 0.425205i
\(448\) −18.5718 9.60703i −0.877436 0.453890i
\(449\) 32.6410i 1.54042i −0.637789 0.770211i \(-0.720151\pi\)
0.637789 0.770211i \(-0.279849\pi\)
\(450\) −12.4708 7.20003i −0.587880 0.339412i
\(451\) −1.77698 3.07783i −0.0836749 0.144929i
\(452\) 0.391801 + 0.678619i 0.0184287 + 0.0319195i
\(453\) −10.2709 5.92988i −0.482567 0.278610i
\(454\) −18.0536 −0.847298
\(455\) 5.63997 1.94595i 0.264406 0.0912274i
\(456\) 38.6667 1.81074
\(457\) 2.74559 + 1.58517i 0.128433 + 0.0741511i 0.562840 0.826566i \(-0.309709\pi\)
−0.434407 + 0.900717i \(0.643042\pi\)
\(458\) −5.91560 10.2461i −0.276418 0.478769i
\(459\) −0.358756 0.621384i −0.0167453 0.0290037i
\(460\) 2.03672 + 1.17590i 0.0949625 + 0.0548266i
\(461\) 0.202023i 0.00940915i −0.999989 0.00470458i \(-0.998502\pi\)
0.999989 0.00470458i \(-0.00149752\pi\)
\(462\) 0.225944 + 4.88559i 0.0105119 + 0.227298i
\(463\) 17.2121i 0.799912i 0.916534 + 0.399956i \(0.130975\pi\)
−0.916534 + 0.399956i \(0.869025\pi\)
\(464\) −5.22112 + 9.04325i −0.242384 + 0.419822i
\(465\) 3.33835 + 5.78219i 0.154812 + 0.268143i
\(466\) −16.1277 + 9.31136i −0.747103 + 0.431340i
\(467\) −0.0955845 + 0.165557i −0.00442312 + 0.00766108i −0.868228 0.496165i \(-0.834741\pi\)
0.863805 + 0.503826i \(0.168075\pi\)
\(468\) 2.09657 8.65821i 0.0969139 0.400226i
\(469\) −27.5415 + 1.27371i −1.27175 + 0.0588146i
\(470\) 5.41777i 0.249903i
\(471\) −11.5731 + 20.0452i −0.533260 + 0.923633i
\(472\) 15.0742 + 26.1092i 0.693845 + 1.20177i
\(473\) −6.87593 + 3.96982i −0.316156 + 0.182533i
\(474\) −8.83850 5.10291i −0.405966 0.234384i
\(475\) 23.9787i 1.10022i
\(476\) −6.31968 + 4.04905i −0.289662 + 0.185588i
\(477\) −2.02978 −0.0929374
\(478\) 10.5816 18.3278i 0.483989 0.838294i
\(479\) −18.6009 + 10.7392i −0.849897 + 0.490688i −0.860616 0.509254i \(-0.829921\pi\)
0.0107189 + 0.999943i \(0.496588\pi\)
\(480\) 3.35676 + 5.81408i 0.153214 + 0.265375i
\(481\) −1.05302 + 1.10532i −0.0480136 + 0.0503981i
\(482\) 2.98752 0.136078
\(483\) −25.3197 13.0976i −1.15209 0.595964i
\(484\) 8.90811 0.404914
\(485\) −0.0631758 + 0.109424i −0.00286867 + 0.00496868i
\(486\) 20.3178 11.7305i 0.921633 0.532105i
\(487\) 16.4964 9.52422i 0.747525 0.431584i −0.0772740 0.997010i \(-0.524622\pi\)
0.824799 + 0.565426i \(0.191288\pi\)
\(488\) −12.4339 7.17871i −0.562856 0.324965i
\(489\) 57.6458i 2.60684i
\(490\) 1.96340 4.26790i 0.0886973 0.192804i
\(491\) −35.7559 −1.61364 −0.806821 0.590796i \(-0.798814\pi\)
−0.806821 + 0.590796i \(0.798814\pi\)
\(492\) 8.96247 + 5.17448i 0.404059 + 0.233284i
\(493\) 11.0275 + 19.1002i 0.496654 + 0.860230i
\(494\) 19.3115 5.67927i 0.868864 0.255522i
\(495\) 0.645140 1.11741i 0.0289969 0.0502240i
\(496\) 6.94968i 0.312050i
\(497\) −17.1251 + 33.1053i −0.768164 + 1.48497i
\(498\) −26.6213 −1.19293
\(499\) −15.3192 8.84457i −0.685784 0.395937i 0.116247 0.993220i \(-0.462914\pi\)
−0.802031 + 0.597283i \(0.796247\pi\)
\(500\) −4.41632 + 2.54976i −0.197504 + 0.114029i
\(501\) −2.38346 + 1.37609i −0.106485 + 0.0614792i
\(502\) 21.8949 + 12.6410i 0.977217 + 0.564196i
\(503\) 11.3305 0.505203 0.252601 0.967570i \(-0.418714\pi\)
0.252601 + 0.967570i \(0.418714\pi\)
\(504\) −12.7033 19.8271i −0.565851 0.883169i
\(505\) 10.8415i 0.482441i
\(506\) −1.68456 + 2.91774i −0.0748878 + 0.129709i
\(507\) −1.53079 31.5712i −0.0679849 1.40212i
\(508\) −3.61048 6.25353i −0.160189 0.277455i
\(509\) 16.7588 + 9.67569i 0.742821 + 0.428868i 0.823094 0.567905i \(-0.192246\pi\)
−0.0802734 + 0.996773i \(0.525579\pi\)
\(510\) −5.45523 −0.241562
\(511\) −13.4362 + 0.621384i −0.594382 + 0.0274884i
\(512\) 16.6645i 0.736472i
\(513\) −0.967032 0.558316i −0.0426955 0.0246502i
\(514\) 3.18961 1.84152i 0.140687 0.0812259i
\(515\) −5.85772 + 3.38195i −0.258122 + 0.149027i
\(516\) 11.5599 20.0224i 0.508897 0.881435i
\(517\) 5.71967 0.251551
\(518\) 0.0555330 + 1.20079i 0.00243998 + 0.0527597i
\(519\) 29.1505 1.27957
\(520\) 4.99060 + 4.75448i 0.218852 + 0.208498i
\(521\) 3.85550 + 6.67791i 0.168912 + 0.292565i 0.938038 0.346533i \(-0.112641\pi\)
−0.769125 + 0.639098i \(0.779308\pi\)
\(522\) −17.8508 + 10.3062i −0.781307 + 0.451088i
\(523\) 17.5251 30.3543i 0.766317 1.32730i −0.173230 0.984881i \(-0.555420\pi\)
0.939547 0.342419i \(-0.111246\pi\)
\(524\) −5.94246 −0.259597
\(525\) 24.9638 15.9944i 1.08951 0.698054i
\(526\) 23.0160i 1.00355i
\(527\) −12.7119 7.33919i −0.553737 0.319700i
\(528\) −2.36146 + 1.36339i −0.102769 + 0.0593339i
\(529\) 1.68133 + 2.91214i 0.0731011 + 0.126615i
\(530\) 0.233922 0.405165i 0.0101609 0.0175992i
\(531\) 28.7189i 1.24630i
\(532\) −5.36671 + 10.3746i −0.232676 + 0.449797i
\(533\) 17.5776 + 4.25637i 0.761370 + 0.184364i
\(534\) 17.4532 30.2299i 0.755275 1.30818i
\(535\) 3.31309 1.91282i 0.143238 0.0826982i
\(536\) −15.9264 27.5854i −0.687917 1.19151i
\(537\) −11.5136 + 19.9422i −0.496849 + 0.860568i
\(538\) 15.7276i 0.678066i
\(539\) −4.50573 2.07281i −0.194075 0.0892821i
\(540\) 0.113903i 0.00490160i
\(541\) 10.5079 + 6.06674i 0.451770 + 0.260829i 0.708577 0.705633i \(-0.249337\pi\)
−0.256807 + 0.966463i \(0.582671\pi\)
\(542\) 1.09648 + 1.89916i 0.0470978 + 0.0815758i
\(543\) −13.8972 24.0706i −0.596385 1.03297i
\(544\) −12.7820 7.37967i −0.548022 0.316401i
\(545\) −7.12940 −0.305390
\(546\) −18.7939 16.3166i −0.804303 0.698287i
\(547\) −5.12546 −0.219149 −0.109575 0.993979i \(-0.534949\pi\)
−0.109575 + 0.993979i \(0.534949\pi\)
\(548\) 4.56864 + 2.63770i 0.195162 + 0.112677i
\(549\) −6.83835 11.8444i −0.291854 0.505505i
\(550\) −1.75201 3.03457i −0.0747058 0.129394i
\(551\) 29.7248 + 17.1616i 1.26632 + 0.731109i
\(552\) 32.9340i 1.40177i
\(553\) 8.71427 5.58327i 0.370568 0.237425i
\(554\) 5.83051i 0.247715i
\(555\) 0.321934 0.557606i 0.0136653 0.0236691i
\(556\) −2.77112 4.79972i −0.117522 0.203554i
\(557\) −32.5267 + 18.7793i −1.37820 + 0.795705i −0.991943 0.126686i \(-0.959566\pi\)
−0.386258 + 0.922391i \(0.626233\pi\)
\(558\) 6.85911 11.8803i 0.290369 0.502934i
\(559\) 9.50884 39.2687i 0.402181 1.66089i
\(560\) 2.61641 0.121001i 0.110563 0.00511323i
\(561\) 5.75922i 0.243154i
\(562\) −10.8569 + 18.8048i −0.457973 + 0.793232i
\(563\) 14.3504 + 24.8557i 0.604799 + 1.04754i 0.992083 + 0.125583i \(0.0400800\pi\)
−0.387284 + 0.921960i \(0.626587\pi\)
\(564\) −14.4240 + 8.32769i −0.607359 + 0.350659i
\(565\) −0.500180 0.288779i −0.0210428 0.0121490i
\(566\) 1.86195i 0.0782636i
\(567\) 1.13146 + 24.4656i 0.0475170 + 1.02746i
\(568\) −43.0610 −1.80680
\(569\) 8.97417 15.5437i 0.376217 0.651627i −0.614291 0.789079i \(-0.710558\pi\)
0.990508 + 0.137452i \(0.0438914\pi\)
\(570\) −7.35231 + 4.24486i −0.307955 + 0.177798i
\(571\) 8.91370 + 15.4390i 0.373027 + 0.646101i 0.990030 0.140860i \(-0.0449867\pi\)
−0.617003 + 0.786961i \(0.711653\pi\)
\(572\) 1.49523 1.56949i 0.0625188 0.0656236i
\(573\) −38.1428 −1.59344
\(574\) 11.9907 7.68250i 0.500483 0.320662i
\(575\) 20.4236 0.851724
\(576\) 11.5058 19.9286i 0.479407 0.830357i
\(577\) 28.6282 16.5285i 1.19181 0.688091i 0.233092 0.972455i \(-0.425116\pi\)
0.958717 + 0.284363i \(0.0917822\pi\)
\(578\) −5.41170 + 3.12445i −0.225097 + 0.129960i
\(579\) 48.4451 + 27.9698i 2.01331 + 1.16239i
\(580\) 3.50117i 0.145378i
\(581\) 12.4035 23.9778i 0.514584 0.994766i
\(582\) 0.527085 0.0218484
\(583\) −0.427742 0.246957i −0.0177153 0.0102279i
\(584\) −7.76975 13.4576i −0.321515 0.556880i
\(585\) 1.85254 + 6.29927i 0.0765930 + 0.260443i
\(586\) −14.6172 + 25.3178i −0.603832 + 1.04587i
\(587\) 14.7295i 0.607953i 0.952680 + 0.303976i \(0.0983144\pi\)
−0.952680 + 0.303976i \(0.901686\pi\)
\(588\) 14.3806 1.33297i 0.593045 0.0549708i
\(589\) −22.8433 −0.941241
\(590\) −5.73258 3.30970i −0.236006 0.136258i
\(591\) −21.4851 + 12.4044i −0.883779 + 0.510250i
\(592\) −0.580404 + 0.335097i −0.0238545 + 0.0137724i
\(593\) −7.97598 4.60494i −0.327534 0.189102i 0.327212 0.944951i \(-0.393891\pi\)
−0.654746 + 0.755849i \(0.727224\pi\)
\(594\) 0.163174 0.00669510
\(595\) 2.54172 4.91353i 0.104201 0.201435i
\(596\) 3.13743i 0.128514i
\(597\) −14.4954 + 25.1067i −0.593256 + 1.02755i
\(598\) −4.83726 16.4484i −0.197810 0.672624i
\(599\) 5.28727 + 9.15782i 0.216032 + 0.374178i 0.953591 0.301104i \(-0.0973551\pi\)
−0.737559 + 0.675282i \(0.764022\pi\)
\(600\) 29.6637 + 17.1263i 1.21102 + 0.699180i
\(601\) 4.08916 0.166800 0.0834001 0.996516i \(-0.473422\pi\)
0.0834001 + 0.996516i \(0.473422\pi\)
\(602\) −17.1629 26.7875i −0.699507 1.09178i
\(603\) 30.3426i 1.23565i
\(604\) 3.58450 + 2.06951i 0.145851 + 0.0842072i
\(605\) −5.68613 + 3.28289i −0.231174 + 0.133469i
\(606\) −39.1670 + 22.6131i −1.59105 + 0.918593i
\(607\) −1.80353 + 3.12380i −0.0732030 + 0.126791i −0.900303 0.435263i \(-0.856655\pi\)
0.827100 + 0.562054i \(0.189989\pi\)
\(608\) −22.9693 −0.931527
\(609\) −1.96056 42.3932i −0.0794459 1.71786i
\(610\) 3.15233 0.127634
\(611\) −20.0768 + 21.0739i −0.812222 + 0.852559i
\(612\) −4.13003 7.15343i −0.166947 0.289160i
\(613\) −33.3285 + 19.2422i −1.34613 + 0.777186i −0.987698 0.156371i \(-0.950020\pi\)
−0.358428 + 0.933557i \(0.616687\pi\)
\(614\) −6.82128 + 11.8148i −0.275284 + 0.476806i
\(615\) −7.62778 −0.307582
\(616\) −0.264709 5.72379i −0.0106654 0.230618i
\(617\) 3.09503i 0.124601i −0.998057 0.0623007i \(-0.980156\pi\)
0.998057 0.0623007i \(-0.0198438\pi\)
\(618\) 24.4359 + 14.1080i 0.982954 + 0.567509i
\(619\) −10.6255 + 6.13462i −0.427074 + 0.246571i −0.698099 0.716001i \(-0.745971\pi\)
0.271025 + 0.962572i \(0.412637\pi\)
\(620\) −1.16507 2.01797i −0.0467905 0.0810435i
\(621\) −0.475540 + 0.823660i −0.0190828 + 0.0330523i
\(622\) 10.3215i 0.413854i
\(623\) 19.0962 + 29.8050i 0.765073 + 1.19411i
\(624\) 3.26570 13.4864i 0.130733 0.539888i
\(625\) −9.64277 + 16.7018i −0.385711 + 0.668071i
\(626\) −8.38730 + 4.84241i −0.335224 + 0.193542i
\(627\) 4.48140 + 7.76202i 0.178970 + 0.309985i
\(628\) 4.03897 6.99571i 0.161173 0.279159i
\(629\) 1.41551i 0.0564402i
\(630\) 4.59211 + 2.37546i 0.182954 + 0.0946406i
\(631\) 5.31780i 0.211698i 0.994382 + 0.105849i \(0.0337561\pi\)
−0.994382 + 0.105849i \(0.966244\pi\)
\(632\) 10.3549 + 5.97840i 0.411896 + 0.237808i
\(633\) −18.9520 32.8258i −0.753273 1.30471i
\(634\) 13.2126 + 22.8849i 0.524740 + 0.908877i
\(635\) 4.60921 + 2.66113i 0.182911 + 0.105604i
\(636\) 1.43825 0.0570304
\(637\) 23.4529 9.32532i 0.929238 0.369483i
\(638\) −5.01566 −0.198572
\(639\) −35.5238 20.5097i −1.40530 0.811349i
\(640\) −0.109212 0.189160i −0.00431697 0.00747721i
\(641\) 6.09521 + 10.5572i 0.240746 + 0.416985i 0.960927 0.276801i \(-0.0892744\pi\)
−0.720181 + 0.693787i \(0.755941\pi\)
\(642\) −13.8208 7.97944i −0.545463 0.314923i
\(643\) 18.9733i 0.748235i −0.927381 0.374117i \(-0.877946\pi\)
0.927381 0.374117i \(-0.122054\pi\)
\(644\) 8.83649 + 4.57104i 0.348207 + 0.180124i
\(645\) 17.0406i 0.670974i
\(646\) 9.33211 16.1637i 0.367167 0.635952i
\(647\) 9.85587 + 17.0709i 0.387474 + 0.671125i 0.992109 0.125378i \(-0.0400143\pi\)
−0.604635 + 0.796503i \(0.706681\pi\)
\(648\) −24.5046 + 14.1478i −0.962633 + 0.555776i
\(649\) −3.49414 + 6.05202i −0.137157 + 0.237563i
\(650\) 17.3305 + 4.19655i 0.679759 + 0.164602i
\(651\) 15.2371 + 23.7818i 0.597188 + 0.932080i
\(652\) 20.1182i 0.787891i
\(653\) 10.1986 17.6645i 0.399103 0.691267i −0.594512 0.804087i \(-0.702655\pi\)
0.993616 + 0.112819i \(0.0359882\pi\)
\(654\) 14.8704 + 25.7563i 0.581478 + 1.00715i
\(655\) 3.79313 2.18996i 0.148210 0.0855690i
\(656\) 6.87593 + 3.96982i 0.268460 + 0.154996i
\(657\) 14.8027i 0.577510i
\(658\) 1.05879 + 22.8942i 0.0412759 + 0.892509i
\(659\) 32.6628 1.27236 0.636181 0.771540i \(-0.280513\pi\)
0.636181 + 0.771540i \(0.280513\pi\)
\(660\) −0.457129 + 0.791771i −0.0177937 + 0.0308196i
\(661\) 8.43242 4.86846i 0.327983 0.189361i −0.326962 0.945037i \(-0.606025\pi\)
0.654945 + 0.755676i \(0.272692\pi\)
\(662\) 7.06704 + 12.2405i 0.274668 + 0.475740i
\(663\) −21.2196 20.2157i −0.824101 0.785111i
\(664\) 31.1886 1.21035
\(665\) −0.397725 8.60002i −0.0154231 0.333494i
\(666\) −1.32292 −0.0512620
\(667\) 14.6172 25.3178i 0.565981 0.980308i
\(668\) 0.831819 0.480251i 0.0321841 0.0185815i
\(669\) 14.2482 8.22620i 0.550867 0.318043i
\(670\) 6.05668 + 3.49683i 0.233990 + 0.135094i
\(671\) 3.32800i 0.128476i
\(672\) 15.3211 + 23.9129i 0.591025 + 0.922461i
\(673\) −39.4512 −1.52073 −0.760367 0.649494i \(-0.774981\pi\)
−0.760367 + 0.649494i \(0.774981\pi\)
\(674\) −15.8265 9.13742i −0.609613 0.351960i
\(675\) −0.494581 0.856639i −0.0190364 0.0329720i
\(676\) 0.534242 + 11.0182i 0.0205478 + 0.423779i
\(677\) 24.3169 42.1182i 0.934576 1.61873i 0.159187 0.987248i \(-0.449113\pi\)
0.775389 0.631484i \(-0.217554\pi\)
\(678\) 2.40932i 0.0925296i
\(679\) −0.245582 + 0.474745i −0.00942455 + 0.0182191i
\(680\) 6.39117 0.245090
\(681\) 35.4266 + 20.4536i 1.35755 + 0.783783i
\(682\) 2.89088 1.66905i 0.110697 0.0639112i
\(683\) −4.94304 + 2.85387i −0.189140 + 0.109200i −0.591580 0.806246i \(-0.701496\pi\)
0.402440 + 0.915446i \(0.368162\pi\)
\(684\) −11.1326 6.42738i −0.425664 0.245757i
\(685\) −3.88828 −0.148563
\(686\) 7.46278 18.4188i 0.284930 0.703234i
\(687\) 26.8080i 1.02279i
\(688\) 8.86867 15.3610i 0.338115 0.585632i
\(689\) 2.41134 0.709145i 0.0918647 0.0270163i
\(690\) 3.61552 + 6.26226i 0.137640 + 0.238400i
\(691\) 36.1766 + 20.8866i 1.37622 + 0.794563i 0.991703 0.128553i \(-0.0410333\pi\)
0.384521 + 0.923116i \(0.374367\pi\)
\(692\) −10.1734 −0.386736
\(693\) 2.50783 4.84801i 0.0952646 0.184161i
\(694\) 0.493517i 0.0187336i
\(695\) 3.53767 + 2.04247i 0.134191 + 0.0774754i
\(696\) 42.4608 24.5147i 1.60947 0.929228i
\(697\) 14.5226 8.38464i 0.550084 0.317591i
\(698\) 3.69035 6.39188i 0.139682 0.241936i
\(699\) 42.1967 1.59603
\(700\) −8.71229 + 5.58200i −0.329294 + 0.210980i
\(701\) 22.4361 0.847399 0.423700 0.905803i \(-0.360731\pi\)
0.423700 + 0.905803i \(0.360731\pi\)
\(702\) −0.572763 + 0.601207i −0.0216175 + 0.0226911i
\(703\) 1.10145 + 1.90776i 0.0415419 + 0.0719527i
\(704\) 4.84929 2.79974i 0.182764 0.105519i
\(705\) 6.13798 10.6313i 0.231170 0.400398i
\(706\) −1.64527 −0.0619207
\(707\) −2.11875 45.8137i −0.0796837 1.72300i
\(708\) 20.3495i 0.764780i
\(709\) −24.8955 14.3734i −0.934969 0.539804i −0.0465891 0.998914i \(-0.514835\pi\)
−0.888380 + 0.459110i \(0.848168\pi\)
\(710\) 8.18785 4.72726i 0.307285 0.177411i
\(711\) 5.69495 + 9.86394i 0.213577 + 0.369927i
\(712\) −20.4476 + 35.4163i −0.766307 + 1.32728i
\(713\) 19.4566i 0.728654i
\(714\) −23.0525 + 1.06611i −0.862718 + 0.0398982i
\(715\) −0.376021 + 1.55286i −0.0140624 + 0.0580735i
\(716\) 4.01822 6.95976i 0.150168 0.260098i
\(717\) −41.5284 + 23.9765i −1.55091 + 0.895417i
\(718\) 14.5972 + 25.2830i 0.544762 + 0.943555i
\(719\) −2.10450 + 3.64509i −0.0784844 + 0.135939i −0.902596 0.430488i \(-0.858341\pi\)
0.824112 + 0.566427i \(0.191675\pi\)
\(720\) 2.88251i 0.107425i
\(721\) −24.0924 + 15.4361i −0.897247 + 0.574870i
\(722\) 8.65821i 0.322225i
\(723\) −5.86242 3.38467i −0.218026 0.125877i
\(724\) 4.85008 + 8.40058i 0.180252 + 0.312205i
\(725\) 15.2025 + 26.3315i 0.564606 + 0.977927i
\(726\) 23.7201 + 13.6948i 0.880335 + 0.508262i
\(727\) −43.4680 −1.61214 −0.806070 0.591820i \(-0.798409\pi\)
−0.806070 + 0.591820i \(0.798409\pi\)
\(728\) 22.0183 + 19.1160i 0.816051 + 0.708486i
\(729\) −25.3884 −0.940312
\(730\) 2.95477 + 1.70594i 0.109361 + 0.0631396i
\(731\) −18.7315 32.4439i −0.692809 1.19998i
\(732\) 4.84548 + 8.39261i 0.179094 + 0.310200i
\(733\) 7.87581 + 4.54710i 0.290900 + 0.167951i 0.638348 0.769748i \(-0.279618\pi\)
−0.347448 + 0.937699i \(0.612952\pi\)
\(734\) 28.9525i 1.06866i
\(735\) −8.68803 + 6.15050i −0.320463 + 0.226865i
\(736\) 19.5639i 0.721133i
\(737\) 3.69169 6.39419i 0.135985 0.235533i
\(738\) 7.83617 + 13.5726i 0.288453 + 0.499616i
\(739\) 8.32135 4.80433i 0.306106 0.176730i −0.339077 0.940759i \(-0.610115\pi\)
0.645183 + 0.764028i \(0.276781\pi\)
\(740\) −0.112354 + 0.194603i −0.00413022 + 0.00715375i
\(741\) −44.3292 10.7342i −1.62847 0.394331i
\(742\) 0.909317 1.75784i 0.0333821 0.0645325i
\(743\) 32.1771i 1.18046i −0.807234 0.590231i \(-0.799036\pi\)
0.807234 0.590231i \(-0.200964\pi\)
\(744\) −16.3154 + 28.2591i −0.598152 + 1.03603i
\(745\) −1.15623 2.00265i −0.0423610 0.0733714i
\(746\) 3.69150 2.13129i 0.135155 0.0780320i
\(747\) 25.7295 + 14.8549i 0.941392 + 0.543513i
\(748\) 2.00995i 0.0734911i
\(749\) 13.6265 8.73058i 0.497903 0.319008i
\(750\) −15.6794 −0.572531
\(751\) 3.89892 6.75313i 0.142274 0.246425i −0.786079 0.618126i \(-0.787892\pi\)
0.928352 + 0.371701i \(0.121225\pi\)
\(752\) −11.0660 + 6.38894i −0.403534 + 0.232981i
\(753\) −28.6429 49.6110i −1.04381 1.80793i
\(754\) 17.6057 18.4800i 0.641161 0.673002i
\(755\) −3.05070 −0.111026
\(756\) −0.0222599 0.481327i −0.000809586 0.0175057i
\(757\) 17.9970 0.654110 0.327055 0.945005i \(-0.393944\pi\)
0.327055 + 0.945005i \(0.393944\pi\)
\(758\) −6.11960 + 10.5995i −0.222274 + 0.384990i
\(759\) 6.61123 3.81699i 0.239972 0.138548i
\(760\) 8.61373 4.97314i 0.312453 0.180395i
\(761\) −35.2290 20.3395i −1.27705 0.737306i −0.300746 0.953704i \(-0.597236\pi\)
−0.976305 + 0.216398i \(0.930569\pi\)
\(762\) 22.2021i 0.804299i
\(763\) −30.1271 + 1.39329i −1.09068 + 0.0504406i
\(764\) 13.3117 0.481601
\(765\) 5.27248 + 3.04407i 0.190627 + 0.110059i
\(766\) −12.7650 22.1097i −0.461220 0.798856i
\(767\) −10.0335 34.1174i −0.362290 1.23191i
\(768\) −19.6711 + 34.0713i −0.709819 + 1.22944i
\(769\) 39.3098i 1.41755i 0.705435 + 0.708774i \(0.250752\pi\)
−0.705435 + 0.708774i \(0.749248\pi\)
\(770\) 0.678695 + 1.05929i 0.0244585 + 0.0381743i
\(771\) −8.34529 −0.300548
\(772\) −16.9072 9.76138i −0.608504 0.351320i
\(773\) 11.6685 6.73679i 0.419685 0.242306i −0.275257 0.961371i \(-0.588763\pi\)
0.694943 + 0.719065i \(0.255430\pi\)
\(774\) 30.3216 17.5062i 1.08989 0.629247i
\(775\) −17.5245