Properties

Label 96.2.n.a.61.7
Level $96$
Weight $2$
Character 96.61
Analytic conductor $0.767$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 96.n (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 61.7
Character \(\chi\) \(=\) 96.61
Dual form 96.2.n.a.85.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.890433 - 1.09869i) q^{2} +(0.923880 + 0.382683i) q^{3} +(-0.414259 - 1.95663i) q^{4} +(-0.00259461 - 0.00626394i) q^{5} +(1.24310 - 0.674307i) q^{6} +(-2.41880 + 2.41880i) q^{7} +(-2.51860 - 1.28710i) q^{8} +(0.707107 + 0.707107i) q^{9} +O(q^{10})\) \(q+(0.890433 - 1.09869i) q^{2} +(0.923880 + 0.382683i) q^{3} +(-0.414259 - 1.95663i) q^{4} +(-0.00259461 - 0.00626394i) q^{5} +(1.24310 - 0.674307i) q^{6} +(-2.41880 + 2.41880i) q^{7} +(-2.51860 - 1.28710i) q^{8} +(0.707107 + 0.707107i) q^{9} +(-0.00919248 - 0.00272694i) q^{10} +(1.29952 - 0.538278i) q^{11} +(0.366044 - 1.96622i) q^{12} +(-0.559497 + 1.35074i) q^{13} +(0.503742 + 4.81130i) q^{14} -0.00678004i q^{15} +(-3.65678 + 1.62110i) q^{16} -5.82199i q^{17} +(1.40653 - 0.147263i) q^{18} +(-2.67819 + 6.46573i) q^{19} +(-0.0111814 + 0.00767157i) q^{20} +(-3.16031 + 1.30904i) q^{21} +(0.565730 - 1.90707i) q^{22} +(0.178878 + 0.178878i) q^{23} +(-1.83433 - 2.15296i) q^{24} +(3.53550 - 3.53550i) q^{25} +(0.985861 + 1.81746i) q^{26} +(0.382683 + 0.923880i) q^{27} +(5.73469 + 3.73068i) q^{28} +(5.72901 + 2.37303i) q^{29} +(-0.00744919 - 0.00603717i) q^{30} -6.19719 q^{31} +(-1.47502 + 5.46116i) q^{32} +1.40659 q^{33} +(-6.39659 - 5.18409i) q^{34} +(0.0214270 + 0.00887537i) q^{35} +(1.09062 - 1.67647i) q^{36} +(-2.02932 - 4.89922i) q^{37} +(4.71911 + 8.69981i) q^{38} +(-1.03381 + 1.03381i) q^{39} +(-0.00152753 + 0.0191159i) q^{40} +(-3.36712 - 3.36712i) q^{41} +(-1.37581 + 4.63783i) q^{42} +(9.37558 - 3.88349i) q^{43} +(-1.59154 - 2.31968i) q^{44} +(0.00259461 - 0.00626394i) q^{45} +(0.355812 - 0.0372534i) q^{46} -12.5050i q^{47} +(-3.99879 + 0.0983114i) q^{48} -4.70117i q^{49} +(-0.736309 - 7.03256i) q^{50} +(2.22798 - 5.37882i) q^{51} +(2.87468 + 0.535169i) q^{52} +(-8.36811 + 3.46618i) q^{53} +(1.35582 + 0.402201i) q^{54} +(-0.00674348 - 0.00674348i) q^{55} +(9.20523 - 2.97876i) q^{56} +(-4.94866 + 4.94866i) q^{57} +(7.70854 - 4.18140i) q^{58} +(1.59507 + 3.85084i) q^{59} +(-0.0132660 + 0.00280869i) q^{60} +(7.27395 + 3.01297i) q^{61} +(-5.51818 + 6.80881i) q^{62} -3.42070 q^{63} +(4.68674 + 6.48340i) q^{64} +0.00991266 q^{65} +(1.25247 - 1.54541i) q^{66} +(-4.38775 - 1.81747i) q^{67} +(-11.3915 + 2.41181i) q^{68} +(0.0968082 + 0.233716i) q^{69} +(0.0288307 - 0.0156388i) q^{70} +(5.95188 - 5.95188i) q^{71} +(-0.870804 - 2.69104i) q^{72} +(7.85539 + 7.85539i) q^{73} +(-7.18972 - 2.13282i) q^{74} +(4.61936 - 1.91340i) q^{75} +(13.7605 + 2.56174i) q^{76} +(-1.84128 + 4.44525i) q^{77} +(0.215304 + 2.05639i) q^{78} +1.42456i q^{79} +(0.0196424 + 0.0186997i) q^{80} +1.00000i q^{81} +(-6.69763 + 0.701242i) q^{82} +(-3.03596 + 7.32946i) q^{83} +(3.87050 + 5.64127i) q^{84} +(-0.0364686 + 0.0151058i) q^{85} +(4.08155 - 13.7589i) q^{86} +(4.38479 + 4.38479i) q^{87} +(-3.96579 - 0.316902i) q^{88} +(-9.96127 + 9.96127i) q^{89} +(-0.00457183 - 0.00842830i) q^{90} +(-1.91387 - 4.62049i) q^{91} +(0.275896 - 0.424100i) q^{92} +(-5.72545 - 2.37156i) q^{93} +(-13.7392 - 11.1349i) q^{94} +0.0474498 q^{95} +(-3.45264 + 4.48099i) q^{96} -1.24058 q^{97} +(-5.16515 - 4.18607i) q^{98} +(1.29952 + 0.538278i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q + O(q^{10}) \) \( 32q - 8q^{10} - 16q^{12} - 32q^{14} - 8q^{16} - 8q^{18} - 32q^{20} - 8q^{22} - 16q^{23} - 8q^{24} + 40q^{26} + 40q^{28} - 48q^{31} + 40q^{32} + 40q^{34} - 48q^{35} + 40q^{38} + 8q^{40} - 16q^{43} + 8q^{44} - 32q^{46} + 24q^{50} + 16q^{51} - 8q^{52} - 32q^{53} + 8q^{54} + 32q^{55} + 56q^{56} - 32q^{58} + 64q^{59} + 48q^{60} - 32q^{61} + 48q^{62} + 16q^{63} + 24q^{64} + 48q^{66} + 16q^{67} - 8q^{68} - 32q^{69} - 24q^{70} + 64q^{71} - 32q^{74} + 32q^{75} - 56q^{76} - 32q^{77} + 24q^{78} - 56q^{80} - 40q^{82} - 64q^{86} - 48q^{88} - 48q^{91} - 80q^{92} - 32q^{94} - 40q^{96} - 80q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.890433 1.09869i 0.629631 0.776894i
\(3\) 0.923880 + 0.382683i 0.533402 + 0.220942i
\(4\) −0.414259 1.95663i −0.207129 0.978314i
\(5\) −0.00259461 0.00626394i −0.00116034 0.00280132i 0.923298 0.384084i \(-0.125483\pi\)
−0.924459 + 0.381282i \(0.875483\pi\)
\(6\) 1.24310 0.674307i 0.507495 0.275285i
\(7\) −2.41880 + 2.41880i −0.914220 + 0.914220i −0.996601 0.0823812i \(-0.973747\pi\)
0.0823812 + 0.996601i \(0.473747\pi\)
\(8\) −2.51860 1.28710i −0.890461 0.455059i
\(9\) 0.707107 + 0.707107i 0.235702 + 0.235702i
\(10\) −0.00919248 0.00272694i −0.00290692 0.000862333i
\(11\) 1.29952 0.538278i 0.391819 0.162297i −0.178071 0.984018i \(-0.556986\pi\)
0.569890 + 0.821721i \(0.306986\pi\)
\(12\) 0.366044 1.96622i 0.105668 0.567598i
\(13\) −0.559497 + 1.35074i −0.155176 + 0.374629i −0.982280 0.187421i \(-0.939987\pi\)
0.827103 + 0.562050i \(0.189987\pi\)
\(14\) 0.503742 + 4.81130i 0.134631 + 1.28587i
\(15\) 0.00678004i 0.00175060i
\(16\) −3.65678 + 1.62110i −0.914195 + 0.405275i
\(17\) 5.82199i 1.41204i −0.708192 0.706020i \(-0.750489\pi\)
0.708192 0.706020i \(-0.249511\pi\)
\(18\) 1.40653 0.147263i 0.331521 0.0347102i
\(19\) −2.67819 + 6.46573i −0.614420 + 1.48334i 0.243679 + 0.969856i \(0.421646\pi\)
−0.858099 + 0.513484i \(0.828354\pi\)
\(20\) −0.0111814 + 0.00767157i −0.00250023 + 0.00171542i
\(21\) −3.16031 + 1.30904i −0.689637 + 0.285657i
\(22\) 0.565730 1.90707i 0.120614 0.406589i
\(23\) 0.178878 + 0.178878i 0.0372987 + 0.0372987i 0.725510 0.688211i \(-0.241604\pi\)
−0.688211 + 0.725510i \(0.741604\pi\)
\(24\) −1.83433 2.15296i −0.374432 0.439470i
\(25\) 3.53550 3.53550i 0.707100 0.707100i
\(26\) 0.985861 + 1.81746i 0.193343 + 0.356434i
\(27\) 0.382683 + 0.923880i 0.0736475 + 0.177801i
\(28\) 5.73469 + 3.73068i 1.08376 + 0.705032i
\(29\) 5.72901 + 2.37303i 1.06385 + 0.440661i 0.844817 0.535056i \(-0.179710\pi\)
0.219034 + 0.975717i \(0.429710\pi\)
\(30\) −0.00744919 0.00603717i −0.00136003 0.00110223i
\(31\) −6.19719 −1.11305 −0.556524 0.830832i \(-0.687865\pi\)
−0.556524 + 0.830832i \(0.687865\pi\)
\(32\) −1.47502 + 5.46116i −0.260750 + 0.965406i
\(33\) 1.40659 0.244855
\(34\) −6.39659 5.18409i −1.09701 0.889064i
\(35\) 0.0214270 + 0.00887537i 0.00362183 + 0.00150021i
\(36\) 1.09062 1.67647i 0.181770 0.279412i
\(37\) −2.02932 4.89922i −0.333619 0.805427i −0.998299 0.0582992i \(-0.981432\pi\)
0.664680 0.747128i \(-0.268568\pi\)
\(38\) 4.71911 + 8.69981i 0.765541 + 1.41130i
\(39\) −1.03381 + 1.03381i −0.165543 + 0.165543i
\(40\) −0.00152753 + 0.0191159i −0.000241524 + 0.00302249i
\(41\) −3.36712 3.36712i −0.525856 0.525856i 0.393478 0.919334i \(-0.371272\pi\)
−0.919334 + 0.393478i \(0.871272\pi\)
\(42\) −1.37581 + 4.63783i −0.212292 + 0.715633i
\(43\) 9.37558 3.88349i 1.42976 0.592227i 0.472470 0.881347i \(-0.343363\pi\)
0.957293 + 0.289120i \(0.0933625\pi\)
\(44\) −1.59154 2.31968i −0.239934 0.349706i
\(45\) 0.00259461 0.00626394i 0.000386782 0.000933773i
\(46\) 0.355812 0.0372534i 0.0524616 0.00549272i
\(47\) 12.5050i 1.82405i −0.410137 0.912024i \(-0.634519\pi\)
0.410137 0.912024i \(-0.365481\pi\)
\(48\) −3.99879 + 0.0983114i −0.577176 + 0.0141900i
\(49\) 4.70117i 0.671595i
\(50\) −0.736309 7.03256i −0.104130 0.994554i
\(51\) 2.22798 5.37882i 0.311979 0.753185i
\(52\) 2.87468 + 0.535169i 0.398646 + 0.0742146i
\(53\) −8.36811 + 3.46618i −1.14945 + 0.476117i −0.874348 0.485299i \(-0.838711\pi\)
−0.275100 + 0.961416i \(0.588711\pi\)
\(54\) 1.35582 + 0.402201i 0.184503 + 0.0547326i
\(55\) −0.00674348 0.00674348i −0.000909291 0.000909291i
\(56\) 9.20523 2.97876i 1.23010 0.398053i
\(57\) −4.94866 + 4.94866i −0.655465 + 0.655465i
\(58\) 7.70854 4.18140i 1.01218 0.549045i
\(59\) 1.59507 + 3.85084i 0.207661 + 0.501337i 0.993054 0.117660i \(-0.0375392\pi\)
−0.785393 + 0.618997i \(0.787539\pi\)
\(60\) −0.0132660 + 0.00280869i −0.00171263 + 0.000362600i
\(61\) 7.27395 + 3.01297i 0.931333 + 0.385771i 0.796184 0.605054i \(-0.206849\pi\)
0.135149 + 0.990825i \(0.456849\pi\)
\(62\) −5.51818 + 6.80881i −0.700809 + 0.864720i
\(63\) −3.42070 −0.430967
\(64\) 4.68674 + 6.48340i 0.585842 + 0.810425i
\(65\) 0.00991266 0.00122951
\(66\) 1.25247 1.54541i 0.154169 0.190227i
\(67\) −4.38775 1.81747i −0.536049 0.222039i 0.0982011 0.995167i \(-0.468691\pi\)
−0.634250 + 0.773128i \(0.718691\pi\)
\(68\) −11.3915 + 2.41181i −1.38142 + 0.292475i
\(69\) 0.0968082 + 0.233716i 0.0116543 + 0.0281361i
\(70\) 0.0288307 0.0156388i 0.00344592 0.00186920i
\(71\) 5.95188 5.95188i 0.706358 0.706358i −0.259409 0.965768i \(-0.583528\pi\)
0.965768 + 0.259409i \(0.0835278\pi\)
\(72\) −0.870804 2.69104i −0.102625 0.317142i
\(73\) 7.85539 + 7.85539i 0.919404 + 0.919404i 0.996986 0.0775823i \(-0.0247201\pi\)
−0.0775823 + 0.996986i \(0.524720\pi\)
\(74\) −7.18972 2.13282i −0.835788 0.247935i
\(75\) 4.61936 1.91340i 0.533397 0.220940i
\(76\) 13.7605 + 2.56174i 1.57844 + 0.293852i
\(77\) −1.84128 + 4.44525i −0.209834 + 0.506584i
\(78\) 0.215304 + 2.05639i 0.0243784 + 0.232840i
\(79\) 1.42456i 0.160276i 0.996784 + 0.0801378i \(0.0255360\pi\)
−0.996784 + 0.0801378i \(0.974464\pi\)
\(80\) 0.0196424 + 0.0186997i 0.00219609 + 0.00209069i
\(81\) 1.00000i 0.111111i
\(82\) −6.69763 + 0.701242i −0.739630 + 0.0774392i
\(83\) −3.03596 + 7.32946i −0.333240 + 0.804513i 0.665091 + 0.746763i \(0.268393\pi\)
−0.998331 + 0.0577507i \(0.981607\pi\)
\(84\) 3.87050 + 5.64127i 0.422306 + 0.615513i
\(85\) −0.0364686 + 0.0151058i −0.00395557 + 0.00163845i
\(86\) 4.08155 13.7589i 0.440125 1.48366i
\(87\) 4.38479 + 4.38479i 0.470099 + 0.470099i
\(88\) −3.96579 0.316902i −0.422754 0.0337819i
\(89\) −9.96127 + 9.96127i −1.05589 + 1.05589i −0.0575498 + 0.998343i \(0.518329\pi\)
−0.998343 + 0.0575498i \(0.981671\pi\)
\(90\) −0.00457183 0.00842830i −0.000481913 0.000888421i
\(91\) −1.91387 4.62049i −0.200628 0.484359i
\(92\) 0.275896 0.424100i 0.0287642 0.0442155i
\(93\) −5.72545 2.37156i −0.593702 0.245919i
\(94\) −13.7392 11.1349i −1.41709 1.14848i
\(95\) 0.0474498 0.00486825
\(96\) −3.45264 + 4.48099i −0.352384 + 0.457339i
\(97\) −1.24058 −0.125961 −0.0629807 0.998015i \(-0.520061\pi\)
−0.0629807 + 0.998015i \(0.520061\pi\)
\(98\) −5.16515 4.18607i −0.521758 0.422857i
\(99\) 1.29952 + 0.538278i 0.130606 + 0.0540989i
\(100\) −8.38227 5.45305i −0.838227 0.545305i
\(101\) 6.15953 + 14.8704i 0.612896 + 1.47966i 0.859804 + 0.510624i \(0.170585\pi\)
−0.246908 + 0.969039i \(0.579415\pi\)
\(102\) −3.92581 7.23734i −0.388713 0.716604i
\(103\) −5.60558 + 5.60558i −0.552334 + 0.552334i −0.927114 0.374779i \(-0.877718\pi\)
0.374779 + 0.927114i \(0.377718\pi\)
\(104\) 3.14770 2.68186i 0.308657 0.262978i
\(105\) 0.0163995 + 0.0163995i 0.00160043 + 0.00160043i
\(106\) −3.64296 + 12.2804i −0.353836 + 1.19278i
\(107\) −5.46375 + 2.26316i −0.528201 + 0.218788i −0.630815 0.775933i \(-0.717279\pi\)
0.102614 + 0.994721i \(0.467279\pi\)
\(108\) 1.64916 1.13149i 0.158690 0.108878i
\(109\) −0.982918 + 2.37297i −0.0941464 + 0.227290i −0.963936 0.266132i \(-0.914254\pi\)
0.869790 + 0.493422i \(0.164254\pi\)
\(110\) −0.0134136 + 0.00140441i −0.00127894 + 0.000133905i
\(111\) 5.30288i 0.503327i
\(112\) 4.92390 12.7661i 0.465265 1.20629i
\(113\) 4.42809i 0.416560i −0.978069 0.208280i \(-0.933213\pi\)
0.978069 0.208280i \(-0.0667865\pi\)
\(114\) 1.03061 + 9.84350i 0.0965259 + 0.921929i
\(115\) 0.000656364 0.00158460i 6.12062e−5 0.000147765i
\(116\) 2.26985 12.1926i 0.210750 1.13205i
\(117\) −1.35074 + 0.559497i −0.124876 + 0.0517255i
\(118\) 5.65121 + 1.67642i 0.520236 + 0.154327i
\(119\) 14.0822 + 14.0822i 1.29091 + 1.29091i
\(120\) −0.00872660 + 0.0170762i −0.000796626 + 0.00155884i
\(121\) −6.37917 + 6.37917i −0.579925 + 0.579925i
\(122\) 9.78729 5.30900i 0.886100 0.480654i
\(123\) −1.82227 4.39936i −0.164309 0.396677i
\(124\) 2.56724 + 12.1256i 0.230545 + 1.08891i
\(125\) −0.0626391 0.0259460i −0.00560261 0.00232068i
\(126\) −3.04590 + 3.75830i −0.271350 + 0.334816i
\(127\) 14.5930 1.29492 0.647458 0.762101i \(-0.275832\pi\)
0.647458 + 0.762101i \(0.275832\pi\)
\(128\) 11.2965 + 0.623739i 0.998479 + 0.0551313i
\(129\) 10.1481 0.893487
\(130\) 0.00882656 0.0108910i 0.000774140 0.000955202i
\(131\) −8.62727 3.57353i −0.753768 0.312221i −0.0274902 0.999622i \(-0.508752\pi\)
−0.726278 + 0.687401i \(0.758752\pi\)
\(132\) −0.582691 2.75217i −0.0507167 0.239545i
\(133\) −9.16129 22.1173i −0.794384 1.91781i
\(134\) −5.90384 + 3.20247i −0.510014 + 0.276651i
\(135\) 0.00479421 0.00479421i 0.000412620 0.000412620i
\(136\) −7.49349 + 14.6633i −0.642561 + 1.25737i
\(137\) −0.109126 0.109126i −0.00932323 0.00932323i 0.702430 0.711753i \(-0.252098\pi\)
−0.711753 + 0.702430i \(0.752098\pi\)
\(138\) 0.342983 + 0.101745i 0.0291967 + 0.00866115i
\(139\) 5.80724 2.40544i 0.492564 0.204027i −0.122554 0.992462i \(-0.539108\pi\)
0.615118 + 0.788435i \(0.289108\pi\)
\(140\) 0.00848946 0.0456014i 0.000717490 0.00385402i
\(141\) 4.78547 11.5532i 0.403009 0.972951i
\(142\) −1.23955 11.8391i −0.104021 0.993511i
\(143\) 2.05648i 0.171971i
\(144\) −3.73202 1.43944i −0.311002 0.119954i
\(145\) 0.0420433i 0.00349150i
\(146\) 15.6254 1.63597i 1.29316 0.135394i
\(147\) 1.79906 4.34331i 0.148384 0.358230i
\(148\) −8.74529 + 6.00018i −0.718858 + 0.493211i
\(149\) 15.4722 6.40879i 1.26753 0.525028i 0.355318 0.934745i \(-0.384373\pi\)
0.912213 + 0.409717i \(0.134373\pi\)
\(150\) 2.01098 6.77901i 0.164196 0.553504i
\(151\) −9.38822 9.38822i −0.764003 0.764003i 0.213041 0.977043i \(-0.431663\pi\)
−0.977043 + 0.213041i \(0.931663\pi\)
\(152\) 15.0674 12.8375i 1.22212 1.04126i
\(153\) 4.11677 4.11677i 0.332821 0.332821i
\(154\) 3.24444 + 5.98121i 0.261444 + 0.481980i
\(155\) 0.0160793 + 0.0388188i 0.00129152 + 0.00311800i
\(156\) 2.45106 + 1.59452i 0.196242 + 0.127664i
\(157\) −0.959615 0.397486i −0.0765856 0.0317228i 0.344062 0.938947i \(-0.388197\pi\)
−0.420647 + 0.907224i \(0.638197\pi\)
\(158\) 1.56516 + 1.26848i 0.124517 + 0.100915i
\(159\) −9.05757 −0.718312
\(160\) 0.0380355 0.00493012i 0.00300697 0.000389760i
\(161\) −0.865341 −0.0681984
\(162\) 1.09869 + 0.890433i 0.0863216 + 0.0699590i
\(163\) −7.39543 3.06329i −0.579255 0.239935i 0.0737655 0.997276i \(-0.476498\pi\)
−0.653020 + 0.757340i \(0.726498\pi\)
\(164\) −5.19334 + 7.98306i −0.405532 + 0.623372i
\(165\) −0.00364954 0.00881078i −0.000284117 0.000685918i
\(166\) 5.34952 + 9.86199i 0.415203 + 0.765439i
\(167\) 0.697073 0.697073i 0.0539412 0.0539412i −0.679622 0.733563i \(-0.737856\pi\)
0.733563 + 0.679622i \(0.237856\pi\)
\(168\) 9.64445 + 0.770678i 0.744085 + 0.0594591i
\(169\) 7.68091 + 7.68091i 0.590840 + 0.590840i
\(170\) −0.0158762 + 0.0535185i −0.00121765 + 0.00410468i
\(171\) −6.46573 + 2.67819i −0.494447 + 0.204807i
\(172\) −11.4825 16.7357i −0.875530 1.27609i
\(173\) 6.61178 15.9623i 0.502685 1.21359i −0.445331 0.895366i \(-0.646914\pi\)
0.948016 0.318222i \(-0.103086\pi\)
\(174\) 8.72191 0.913184i 0.661207 0.0692283i
\(175\) 17.1033i 1.29289i
\(176\) −3.87945 + 4.07501i −0.292424 + 0.307165i
\(177\) 4.16812i 0.313295i
\(178\) 2.07455 + 19.8142i 0.155494 + 1.48514i
\(179\) 1.14101 2.75465i 0.0852832 0.205892i −0.875484 0.483246i \(-0.839458\pi\)
0.960768 + 0.277354i \(0.0894576\pi\)
\(180\) −0.0133310 0.00248179i −0.000993637 0.000184982i
\(181\) −6.23325 + 2.58190i −0.463314 + 0.191911i −0.602115 0.798409i \(-0.705675\pi\)
0.138801 + 0.990320i \(0.455675\pi\)
\(182\) −6.78067 2.01148i −0.502617 0.149101i
\(183\) 5.56724 + 5.56724i 0.411542 + 0.411542i
\(184\) −0.220289 0.680758i −0.0162399 0.0501861i
\(185\) −0.0254231 + 0.0254231i −0.00186915 + 0.00186915i
\(186\) −7.70375 + 4.17881i −0.564867 + 0.306405i
\(187\) −3.13385 7.56577i −0.229170 0.553264i
\(188\) −24.4677 + 5.18032i −1.78449 + 0.377814i
\(189\) −3.16031 1.30904i −0.229879 0.0952189i
\(190\) 0.0422509 0.0521328i 0.00306520 0.00378211i
\(191\) −5.12197 −0.370613 −0.185306 0.982681i \(-0.559328\pi\)
−0.185306 + 0.982681i \(0.559328\pi\)
\(192\) 1.84889 + 7.78342i 0.133432 + 0.561720i
\(193\) −20.7951 −1.49686 −0.748431 0.663213i \(-0.769192\pi\)
−0.748431 + 0.663213i \(0.769192\pi\)
\(194\) −1.10465 + 1.36301i −0.0793093 + 0.0978588i
\(195\) 0.00915810 + 0.00379341i 0.000655825 + 0.000271652i
\(196\) −9.19843 + 1.94750i −0.657031 + 0.139107i
\(197\) −3.47339 8.38550i −0.247469 0.597442i 0.750519 0.660849i \(-0.229804\pi\)
−0.997988 + 0.0634065i \(0.979804\pi\)
\(198\) 1.74854 0.948472i 0.124263 0.0674050i
\(199\) 9.79652 9.79652i 0.694457 0.694457i −0.268753 0.963209i \(-0.586611\pi\)
0.963209 + 0.268753i \(0.0866114\pi\)
\(200\) −13.4551 + 4.35398i −0.951418 + 0.307873i
\(201\) −3.35824 3.35824i −0.236872 0.236872i
\(202\) 21.8227 + 6.47367i 1.53544 + 0.455486i
\(203\) −19.5972 + 8.11743i −1.37545 + 0.569732i
\(204\) −11.4473 2.13110i −0.801471 0.149207i
\(205\) −0.0123551 + 0.0298278i −0.000862917 + 0.00208326i
\(206\) 1.16743 + 11.1502i 0.0813385 + 0.776872i
\(207\) 0.252972i 0.0175828i
\(208\) −0.143735 5.84637i −0.00996620 0.405373i
\(209\) 9.84394i 0.680919i
\(210\) 0.0326208 0.00341539i 0.00225105 0.000235685i
\(211\) −2.59646 + 6.26841i −0.178748 + 0.431535i −0.987704 0.156333i \(-0.950033\pi\)
0.808957 + 0.587868i \(0.200033\pi\)
\(212\) 10.2486 + 14.9374i 0.703876 + 1.02590i
\(213\) 7.77651 3.22114i 0.532838 0.220709i
\(214\) −2.37858 + 8.01818i −0.162597 + 0.548112i
\(215\) −0.0486519 0.0486519i −0.00331804 0.00331804i
\(216\) 0.225299 2.81944i 0.0153296 0.191839i
\(217\) 14.9897 14.9897i 1.01757 1.01757i
\(218\) 1.73195 + 3.19290i 0.117302 + 0.216250i
\(219\) 4.25131 + 10.2636i 0.287277 + 0.693547i
\(220\) −0.0104009 + 0.0159880i −0.000701231 + 0.00107791i
\(221\) 7.86402 + 3.25738i 0.528991 + 0.219115i
\(222\) −5.82624 4.72186i −0.391032 0.316910i
\(223\) 14.6051 0.978032 0.489016 0.872275i \(-0.337356\pi\)
0.489016 + 0.872275i \(0.337356\pi\)
\(224\) −9.64166 16.7772i −0.644211 1.12098i
\(225\) 4.99995 0.333330
\(226\) −4.86512 3.94292i −0.323623 0.262279i
\(227\) −3.75119 1.55379i −0.248975 0.103129i 0.254706 0.967019i \(-0.418021\pi\)
−0.503681 + 0.863890i \(0.668021\pi\)
\(228\) 11.7327 + 7.63265i 0.777017 + 0.505485i
\(229\) 2.06540 + 4.98631i 0.136485 + 0.329505i 0.977314 0.211797i \(-0.0679316\pi\)
−0.840828 + 0.541302i \(0.817932\pi\)
\(230\) −0.00115655 0.00213212i −7.62603e−5 0.000140588i
\(231\) −3.40225 + 3.40225i −0.223852 + 0.223852i
\(232\) −11.3748 13.3506i −0.746791 0.876507i
\(233\) −20.5003 20.5003i −1.34302 1.34302i −0.893035 0.449987i \(-0.851428\pi\)
−0.449987 0.893035i \(-0.648572\pi\)
\(234\) −0.588031 + 1.98225i −0.0384408 + 0.129584i
\(235\) −0.0783308 + 0.0324457i −0.00510974 + 0.00211652i
\(236\) 6.87389 4.71621i 0.447452 0.306999i
\(237\) −0.545156 + 1.31612i −0.0354117 + 0.0854913i
\(238\) 28.0113 2.93278i 1.81570 0.190104i
\(239\) 2.23671i 0.144680i 0.997380 + 0.0723402i \(0.0230467\pi\)
−0.997380 + 0.0723402i \(0.976953\pi\)
\(240\) 0.0109911 + 0.0247931i 0.000709474 + 0.00160039i
\(241\) 19.6755i 1.26741i 0.773575 + 0.633704i \(0.218466\pi\)
−0.773575 + 0.633704i \(0.781534\pi\)
\(242\) 1.32854 + 12.6890i 0.0854015 + 0.815679i
\(243\) −0.382683 + 0.923880i −0.0245492 + 0.0592669i
\(244\) 2.88196 15.4805i 0.184498 0.991040i
\(245\) −0.0294478 + 0.0121977i −0.00188135 + 0.000779282i
\(246\) −6.45616 1.91521i −0.411630 0.122109i
\(247\) −7.23511 7.23511i −0.460359 0.460359i
\(248\) 15.6083 + 7.97641i 0.991126 + 0.506502i
\(249\) −5.60973 + 5.60973i −0.355502 + 0.355502i
\(250\) −0.0842826 + 0.0457181i −0.00533050 + 0.00289147i
\(251\) 2.41942 + 5.84100i 0.152712 + 0.368680i 0.981658 0.190648i \(-0.0610590\pi\)
−0.828946 + 0.559329i \(0.811059\pi\)
\(252\) 1.41705 + 6.69303i 0.0892659 + 0.421621i
\(253\) 0.328742 + 0.136169i 0.0206678 + 0.00856088i
\(254\) 12.9940 16.0332i 0.815319 1.00601i
\(255\) −0.0394733 −0.00247191
\(256\) 10.7441 11.8560i 0.671505 0.741000i
\(257\) 9.46013 0.590106 0.295053 0.955481i \(-0.404663\pi\)
0.295053 + 0.955481i \(0.404663\pi\)
\(258\) 9.03616 11.1496i 0.562567 0.694145i
\(259\) 16.7588 + 6.94170i 1.04134 + 0.431336i
\(260\) −0.00410640 0.0193954i −0.000254668 0.00120285i
\(261\) 2.37303 + 5.72901i 0.146887 + 0.354617i
\(262\) −11.6082 + 6.29674i −0.717159 + 0.389014i
\(263\) −7.01762 + 7.01762i −0.432725 + 0.432725i −0.889554 0.456829i \(-0.848985\pi\)
0.456829 + 0.889554i \(0.348985\pi\)
\(264\) −3.54264 1.81042i −0.218034 0.111424i
\(265\) 0.0434239 + 0.0434239i 0.00266751 + 0.00266751i
\(266\) −32.4577 9.62852i −1.99011 0.590362i
\(267\) −13.0150 + 5.39100i −0.796507 + 0.329924i
\(268\) −1.73844 + 9.33810i −0.106192 + 0.570415i
\(269\) 0.579856 1.39990i 0.0353545 0.0853532i −0.905216 0.424952i \(-0.860291\pi\)
0.940571 + 0.339598i \(0.110291\pi\)
\(270\) −0.000998450 0.00953630i −6.07637e−5 0.000580361i
\(271\) 2.19594i 0.133394i 0.997773 + 0.0666969i \(0.0212460\pi\)
−0.997773 + 0.0666969i \(0.978754\pi\)
\(272\) 9.43802 + 21.2897i 0.572264 + 1.29088i
\(273\) 5.00118i 0.302685i
\(274\) −0.217065 + 0.0227267i −0.0131134 + 0.00137297i
\(275\) 2.69136 6.49753i 0.162295 0.391816i
\(276\) 0.417191 0.286236i 0.0251119 0.0172294i
\(277\) 24.0612 9.96649i 1.44570 0.598829i 0.484527 0.874776i \(-0.338992\pi\)
0.961173 + 0.275948i \(0.0889916\pi\)
\(278\) 2.52812 8.52226i 0.151626 0.511131i
\(279\) −4.38207 4.38207i −0.262348 0.262348i
\(280\) −0.0425427 0.0499323i −0.00254242 0.00298403i
\(281\) 18.0180 18.0180i 1.07487 1.07487i 0.0779048 0.996961i \(-0.475177\pi\)
0.996961 0.0779048i \(-0.0248230\pi\)
\(282\) −8.43224 15.5451i −0.502133 0.925696i
\(283\) −1.15856 2.79702i −0.0688695 0.166266i 0.885697 0.464264i \(-0.153681\pi\)
−0.954566 + 0.297998i \(0.903681\pi\)
\(284\) −14.1112 9.18000i −0.837348 0.544733i
\(285\) 0.0438379 + 0.0181583i 0.00259673 + 0.00107560i
\(286\) 2.25944 + 1.83116i 0.133604 + 0.108279i
\(287\) 16.2888 0.961496
\(288\) −4.90463 + 2.81863i −0.289008 + 0.166089i
\(289\) −16.8955 −0.993855
\(290\) −0.0461927 0.0374367i −0.00271253 0.00219836i
\(291\) −1.14614 0.474748i −0.0671881 0.0278302i
\(292\) 12.1159 18.6242i 0.709030 1.08990i
\(293\) 3.52001 + 8.49805i 0.205641 + 0.496461i 0.992728 0.120381i \(-0.0384116\pi\)
−0.787087 + 0.616842i \(0.788412\pi\)
\(294\) −3.17003 5.84404i −0.184880 0.340831i
\(295\) 0.0199829 0.0199829i 0.00116345 0.00116345i
\(296\) −1.19473 + 14.9511i −0.0694423 + 0.869018i
\(297\) 0.994607 + 0.994607i 0.0577130 + 0.0577130i
\(298\) 6.73564 22.7058i 0.390185 1.31531i
\(299\) −0.341700 + 0.141537i −0.0197610 + 0.00818529i
\(300\) −5.65742 8.24571i −0.326631 0.476066i
\(301\) −13.2843 + 32.0710i −0.765692 + 1.84854i
\(302\) −18.6744 + 1.95520i −1.07459 + 0.112509i
\(303\) 16.0956i 0.924670i
\(304\) −0.688028 27.9854i −0.0394611 1.60507i
\(305\) 0.0533810i 0.00305659i
\(306\) −0.857364 8.18877i −0.0490122 0.468121i
\(307\) −1.41754 + 3.42224i −0.0809032 + 0.195318i −0.959155 0.282881i \(-0.908710\pi\)
0.878252 + 0.478198i \(0.158710\pi\)
\(308\) 9.46047 + 1.76122i 0.539061 + 0.100355i
\(309\) −7.32405 + 3.03372i −0.416650 + 0.172582i
\(310\) 0.0569675 + 0.0168993i 0.00323554 + 0.000959818i
\(311\) −22.4396 22.4396i −1.27243 1.27243i −0.944809 0.327622i \(-0.893753\pi\)
−0.327622 0.944809i \(-0.606247\pi\)
\(312\) 3.93440 1.27315i 0.222741 0.0720777i
\(313\) −2.24961 + 2.24961i −0.127155 + 0.127155i −0.767821 0.640665i \(-0.778659\pi\)
0.640665 + 0.767821i \(0.278659\pi\)
\(314\) −1.29119 + 0.700390i −0.0728660 + 0.0395253i
\(315\) 0.00887537 + 0.0214270i 0.000500071 + 0.00120728i
\(316\) 2.78733 0.590137i 0.156800 0.0331978i
\(317\) −31.4340 13.0204i −1.76551 0.731298i −0.995659 0.0930756i \(-0.970330\pi\)
−0.769852 0.638223i \(-0.779670\pi\)
\(318\) −8.06516 + 9.95151i −0.452272 + 0.558053i
\(319\) 8.72230 0.488355
\(320\) 0.0284514 0.0461793i 0.00159048 0.00258150i
\(321\) −5.91392 −0.330083
\(322\) −0.770528 + 0.950745i −0.0429398 + 0.0529829i
\(323\) 37.6434 + 15.5924i 2.09453 + 0.867585i
\(324\) 1.95663 0.414259i 0.108702 0.0230144i
\(325\) 2.79746 + 6.75366i 0.155175 + 0.374626i
\(326\) −9.95075 + 5.39767i −0.551121 + 0.298949i
\(327\) −1.81620 + 1.81620i −0.100436 + 0.100436i
\(328\) 4.14662 + 12.8143i 0.228959 + 0.707550i
\(329\) 30.2472 + 30.2472i 1.66758 + 1.66758i
\(330\) −0.0129300 0.00383567i −0.000711775 0.000211147i
\(331\) 24.6043 10.1914i 1.35237 0.560172i 0.415422 0.909629i \(-0.363634\pi\)
0.936952 + 0.349457i \(0.113634\pi\)
\(332\) 15.5987 + 2.90396i 0.856090 + 0.159375i
\(333\) 2.02932 4.89922i 0.111206 0.268476i
\(334\) −0.145174 1.38657i −0.00794354 0.0758696i
\(335\) 0.0322002i 0.00175929i
\(336\) 9.43447 9.91006i 0.514693 0.540638i
\(337\) 20.1009i 1.09497i 0.836817 + 0.547483i \(0.184414\pi\)
−0.836817 + 0.547483i \(0.815586\pi\)
\(338\) 15.2783 1.59964i 0.831031 0.0870089i
\(339\) 1.69456 4.09103i 0.0920358 0.222194i
\(340\) 0.0446638 + 0.0650977i 0.00242224 + 0.00353042i
\(341\) −8.05335 + 3.33581i −0.436113 + 0.180644i
\(342\) −2.81478 + 9.48861i −0.152206 + 0.513085i
\(343\) −5.56041 5.56041i −0.300234 0.300234i
\(344\) −28.6118 2.28634i −1.54265 0.123271i
\(345\) 0.00121280 0.00121280i 6.52950e−5 6.52950e-5i
\(346\) −11.6503 21.4777i −0.626324 1.15465i
\(347\) −5.23707 12.6434i −0.281141 0.678734i 0.718722 0.695297i \(-0.244727\pi\)
−0.999863 + 0.0165638i \(0.994727\pi\)
\(348\) 6.76297 10.3958i 0.362533 0.557276i
\(349\) −16.5877 6.87085i −0.887920 0.367788i −0.108357 0.994112i \(-0.534559\pi\)
−0.779563 + 0.626324i \(0.784559\pi\)
\(350\) 18.7913 + 15.2294i 1.00444 + 0.814044i
\(351\) −1.46203 −0.0780377
\(352\) 1.02280 + 7.89085i 0.0545156 + 0.420584i
\(353\) 10.8817 0.579174 0.289587 0.957152i \(-0.406482\pi\)
0.289587 + 0.957152i \(0.406482\pi\)
\(354\) 4.57949 + 3.71143i 0.243397 + 0.197261i
\(355\) −0.0527250 0.0218394i −0.00279835 0.00115912i
\(356\) 23.6170 + 15.3639i 1.25170 + 0.814288i
\(357\) 7.62124 + 18.3993i 0.403359 + 0.973794i
\(358\) −2.01052 3.70645i −0.106259 0.195892i
\(359\) 5.54201 5.54201i 0.292496 0.292496i −0.545570 0.838066i \(-0.683687\pi\)
0.838066 + 0.545570i \(0.183687\pi\)
\(360\) −0.0145971 + 0.0124369i −0.000769336 + 0.000655480i
\(361\) −21.1979 21.1979i −1.11568 1.11568i
\(362\) −2.71357 + 9.14744i −0.142622 + 0.480779i
\(363\) −8.33479 + 3.45238i −0.437463 + 0.181203i
\(364\) −8.24773 + 5.65880i −0.432299 + 0.296602i
\(365\) 0.0288240 0.0695874i 0.00150872 0.00364237i
\(366\) 11.0739 1.15944i 0.578844 0.0606049i
\(367\) 2.99994i 0.156596i −0.996930 0.0782979i \(-0.975051\pi\)
0.996930 0.0782979i \(-0.0249485\pi\)
\(368\) −0.944098 0.364139i −0.0492145 0.0189821i
\(369\) 4.76183i 0.247891i
\(370\) 0.00529466 + 0.0505698i 0.000275256 + 0.00262900i
\(371\) 11.8568 28.6248i 0.615572 1.48612i
\(372\) −2.26844 + 12.1850i −0.117613 + 0.631764i
\(373\) −15.3503 + 6.35832i −0.794811 + 0.329221i −0.742876 0.669429i \(-0.766539\pi\)
−0.0519347 + 0.998650i \(0.516539\pi\)
\(374\) −11.1030 3.29367i −0.574120 0.170312i
\(375\) −0.0479419 0.0479419i −0.00247571 0.00247571i
\(376\) −16.0953 + 31.4953i −0.830050 + 1.62424i
\(377\) −6.41072 + 6.41072i −0.330169 + 0.330169i
\(378\) −4.25228 + 2.30660i −0.218714 + 0.118639i
\(379\) −2.50517 6.04801i −0.128682 0.310665i 0.846387 0.532568i \(-0.178773\pi\)
−0.975069 + 0.221903i \(0.928773\pi\)
\(380\) −0.0196565 0.0928416i −0.00100836 0.00476267i
\(381\) 13.4821 + 5.58448i 0.690711 + 0.286102i
\(382\) −4.56077 + 5.62748i −0.233349 + 0.287927i
\(383\) −32.1450 −1.64253 −0.821266 0.570545i \(-0.806732\pi\)
−0.821266 + 0.570545i \(0.806732\pi\)
\(384\) 10.1979 + 4.89924i 0.520410 + 0.250013i
\(385\) 0.0326222 0.00166258
\(386\) −18.5166 + 22.8474i −0.942471 + 1.16290i
\(387\) 9.37558 + 3.88349i 0.476588 + 0.197409i
\(388\) 0.513920 + 2.42735i 0.0260903 + 0.123230i
\(389\) 2.48310 + 5.99473i 0.125898 + 0.303945i 0.974244 0.225498i \(-0.0724010\pi\)
−0.848346 + 0.529443i \(0.822401\pi\)
\(390\) 0.0123225 0.00668418i 0.000623973 0.000338466i
\(391\) 1.04143 1.04143i 0.0526672 0.0526672i
\(392\) −6.05088 + 11.8404i −0.305616 + 0.598029i
\(393\) −6.60303 6.60303i −0.333079 0.333079i
\(394\) −12.3059 3.65053i −0.619963 0.183911i
\(395\) 0.00892336 0.00369618i 0.000448983 0.000185975i
\(396\) 0.514873 2.76566i 0.0258733 0.138979i
\(397\) −9.62118 + 23.2276i −0.482873 + 1.16576i 0.475365 + 0.879788i \(0.342316\pi\)
−0.958238 + 0.285970i \(0.907684\pi\)
\(398\) −2.04024 19.4865i −0.102268 0.976771i
\(399\) 23.9396i 1.19848i
\(400\) −7.19715 + 18.6599i −0.359858 + 0.932997i
\(401\) 4.48158i 0.223800i −0.993719 0.111900i \(-0.964306\pi\)
0.993719 0.111900i \(-0.0356936\pi\)
\(402\) −6.67997 + 0.699392i −0.333167 + 0.0348825i
\(403\) 3.46730 8.37081i 0.172719 0.416980i
\(404\) 26.5442 18.2121i 1.32063 0.906086i
\(405\) 0.00626394 0.00259461i 0.000311258 0.000128927i
\(406\) −8.53142 + 28.7594i −0.423407 + 1.42730i
\(407\) −5.27428 5.27428i −0.261437 0.261437i
\(408\) −12.5345 + 10.6795i −0.620549 + 0.528713i
\(409\) 22.1171 22.1171i 1.09362 1.09362i 0.0984792 0.995139i \(-0.468602\pi\)
0.995139 0.0984792i \(-0.0313978\pi\)
\(410\) 0.0217703 + 0.0401341i 0.00107516 + 0.00198208i
\(411\) −0.0590584 0.142579i −0.00291313 0.00703293i
\(412\) 13.2902 + 8.64587i 0.654761 + 0.425952i
\(413\) −13.1726 5.45626i −0.648180 0.268485i
\(414\) 0.277939 + 0.225255i 0.0136600 + 0.0110707i
\(415\) 0.0537885 0.00264037
\(416\) −6.55136 5.04788i −0.321207 0.247493i
\(417\) 6.28571 0.307813
\(418\) 10.8155 + 8.76537i 0.529002 + 0.428728i
\(419\) −8.59414 3.55981i −0.419851 0.173908i 0.162748 0.986668i \(-0.447964\pi\)
−0.582599 + 0.812760i \(0.697964\pi\)
\(420\) 0.0252941 0.0388815i 0.00123423 0.00189722i
\(421\) 7.82429 + 18.8895i 0.381333 + 0.920619i 0.991709 + 0.128507i \(0.0410184\pi\)
−0.610376 + 0.792112i \(0.708982\pi\)
\(422\) 4.57509 + 8.43432i 0.222712 + 0.410576i
\(423\) 8.84240 8.84240i 0.429932 0.429932i
\(424\) 25.5373 + 2.04066i 1.24020 + 0.0991031i
\(425\) −20.5836 20.5836i −0.998453 0.998453i
\(426\) 3.38542 11.4122i 0.164024 0.552923i
\(427\) −24.8820 + 10.3064i −1.20412 + 0.498764i
\(428\) 6.69156 + 9.75299i 0.323449 + 0.471428i
\(429\) −0.786981 + 1.89994i −0.0379958 + 0.0917300i
\(430\) −0.0967749 + 0.0101323i −0.00466690 + 0.000488624i
\(431\) 17.2386i 0.830353i 0.909741 + 0.415177i \(0.136280\pi\)
−0.909741 + 0.415177i \(0.863720\pi\)
\(432\) −2.89709 2.75806i −0.139386 0.132697i
\(433\) 20.8456i 1.00177i −0.865513 0.500887i \(-0.833007\pi\)
0.865513 0.500887i \(-0.166993\pi\)
\(434\) −3.12179 29.8165i −0.149851 1.43124i
\(435\) 0.0160893 0.0388429i 0.000771421 0.00186238i
\(436\) 5.05021 + 0.940179i 0.241861 + 0.0450264i
\(437\) −1.63565 + 0.677508i −0.0782437 + 0.0324096i
\(438\) 15.0620 + 4.46813i 0.719691 + 0.213495i
\(439\) −11.5583 11.5583i −0.551648 0.551648i 0.375269 0.926916i \(-0.377550\pi\)
−0.926916 + 0.375269i \(0.877550\pi\)
\(440\) 0.00830462 + 0.0256637i 0.000395907 + 0.00122347i
\(441\) 3.32423 3.32423i 0.158297 0.158297i
\(442\) 10.5812 5.73967i 0.503299 0.273008i
\(443\) 7.86432 + 18.9861i 0.373645 + 0.902059i 0.993126 + 0.117047i \(0.0373429\pi\)
−0.619481 + 0.785011i \(0.712657\pi\)
\(444\) −10.3758 + 2.19676i −0.492412 + 0.104254i
\(445\) 0.0882424 + 0.0365512i 0.00418309 + 0.00173269i
\(446\) 13.0049 16.0466i 0.615799 0.759827i
\(447\) 16.7470 0.792105
\(448\) −27.0183 4.34576i −1.27650 0.205318i
\(449\) −2.11825 −0.0999665 −0.0499832 0.998750i \(-0.515917\pi\)
−0.0499832 + 0.998750i \(0.515917\pi\)
\(450\) 4.45212 5.49342i 0.209875 0.258962i
\(451\) −6.18808 2.56319i −0.291385 0.120696i
\(452\) −8.66413 + 1.83438i −0.407526 + 0.0862818i
\(453\) −5.08087 12.2663i −0.238720 0.576321i
\(454\) −5.04733 + 2.73786i −0.236883 + 0.128494i
\(455\) −0.0239767 + 0.0239767i −0.00112405 + 0.00112405i
\(456\) 18.8331 6.09428i 0.881942 0.285391i
\(457\) 7.54089 + 7.54089i 0.352748 + 0.352748i 0.861131 0.508383i \(-0.169757\pi\)
−0.508383 + 0.861131i \(0.669757\pi\)
\(458\) 7.31753 + 2.17073i 0.341926 + 0.101432i
\(459\) 5.37882 2.22798i 0.251062 0.103993i
\(460\) −0.00337238 0.000627824i −0.000157238 2.92724e-5i
\(461\) −1.56851 + 3.78672i −0.0730529 + 0.176365i −0.956188 0.292754i \(-0.905428\pi\)
0.883135 + 0.469119i \(0.155428\pi\)
\(462\) 0.708558 + 6.76751i 0.0329651 + 0.314853i
\(463\) 8.35374i 0.388231i −0.980979 0.194116i \(-0.937816\pi\)
0.980979 0.194116i \(-0.0621837\pi\)
\(464\) −24.7966 + 0.609632i −1.15116 + 0.0283015i
\(465\) 0.0420172i 0.00194850i
\(466\) −40.7778 + 4.26943i −1.88899 + 0.197778i
\(467\) 11.8505 28.6097i 0.548377 1.32390i −0.370308 0.928909i \(-0.620748\pi\)
0.918685 0.394990i \(-0.129252\pi\)
\(468\) 1.65428 + 2.41113i 0.0764693 + 0.111454i
\(469\) 15.0092 6.21700i 0.693059 0.287075i
\(470\) −0.0341005 + 0.114952i −0.00157294 + 0.00530236i
\(471\) −0.734458 0.734458i −0.0338420 0.0338420i
\(472\) 0.939072 11.7518i 0.0432243 0.540919i
\(473\) 10.0933 10.0933i 0.464092 0.464092i
\(474\) 0.960592 + 1.77088i 0.0441214 + 0.0813391i
\(475\) 13.3908 + 32.3283i 0.614414 + 1.48333i
\(476\) 21.7200 33.3873i 0.995533 1.53031i
\(477\) −8.36811 3.46618i −0.383149 0.158706i
\(478\) 2.45746 + 1.99164i 0.112401 + 0.0910953i
\(479\) −4.36086 −0.199253 −0.0996264 0.995025i \(-0.531765\pi\)
−0.0996264 + 0.995025i \(0.531765\pi\)
\(480\) 0.0370269 + 0.0100007i 0.00169004 + 0.000456469i
\(481\) 7.75299 0.353506
\(482\) 21.6173 + 17.5197i 0.984643 + 0.798000i
\(483\) −0.799470 0.331151i −0.0363772 0.0150679i
\(484\) 15.1243 + 9.83903i 0.687468 + 0.447229i
\(485\) 0.00321881 + 0.00777090i 0.000146159 + 0.000352858i
\(486\) 0.674307 + 1.24310i 0.0305872 + 0.0563884i
\(487\) 7.91861 7.91861i 0.358827 0.358827i −0.504554 0.863380i \(-0.668343\pi\)
0.863380 + 0.504554i \(0.168343\pi\)
\(488\) −14.4422 16.9508i −0.653768 0.767326i
\(489\) −5.66022 5.66022i −0.255964 0.255964i
\(490\) −0.0128198 + 0.0432154i −0.000579139 + 0.00195227i
\(491\) 37.8921 15.6954i 1.71005 0.708324i 0.710054 0.704147i \(-0.248671\pi\)
0.999991 0.00417652i \(-0.00132943\pi\)
\(492\) −7.85301 + 5.38798i −0.354041 + 0.242909i
\(493\) 13.8158 33.3542i 0.622231 1.50220i
\(494\) −14.3915 + 1.50679i −0.647506 + 0.0677939i
\(495\) 0.00953672i 0.000428644i
\(496\) 22.6617 10.0463i 1.01754 0.451090i
\(497\) 28.7928i 1.29153i
\(498\) 1.16829 + 11.1585i 0.0523524 + 0.500023i
\(499\) −9.18191 + 22.1671i −0.411039 + 0.992336i 0.573821 + 0.818981i \(0.305461\pi\)
−0.984859 + 0.173355i \(0.944539\pi\)
\(500\) −0.0248178 + 0.133310i −0.00110989 + 0.00596179i
\(501\) 0.910770 0.377253i 0.0406902 0.0168544i
\(502\) 8.57180 + 2.54281i 0.382578 + 0.113491i
\(503\) 16.5963 + 16.5963i 0.739995 + 0.739995i 0.972577 0.232582i \(-0.0747175\pi\)
−0.232582 + 0.972577i \(0.574717\pi\)
\(504\) 8.61538 + 4.40278i 0.383760 + 0.196116i
\(505\) 0.0771659 0.0771659i 0.00343384 0.00343384i
\(506\) 0.442331 0.239937i 0.0196640 0.0106665i
\(507\) 4.15688 + 10.0356i 0.184614 + 0.445697i
\(508\) −6.04526 28.5530i −0.268215 1.26683i
\(509\) 5.26058 + 2.17900i 0.233171 + 0.0965826i 0.496210 0.868203i \(-0.334725\pi\)
−0.263039 + 0.964785i \(0.584725\pi\)
\(510\) −0.0351483 + 0.0433691i −0.00155639 + 0.00192042i
\(511\) −38.0012 −1.68107
\(512\) −3.45925 22.3614i −0.152879 0.988245i
\(513\) −6.99846 −0.308989
\(514\) 8.42361 10.3938i 0.371549 0.458450i
\(515\) 0.0496573 + 0.0205687i 0.00218816 + 0.000906367i
\(516\) −4.20392 19.8560i −0.185067 0.874110i
\(517\) −6.73118 16.2505i −0.296037 0.714697i
\(518\) 22.5494 12.2316i 0.990762 0.537427i
\(519\) 12.2170 12.2170i 0.536266 0.536266i
\(520\) −0.0249661 0.0127586i −0.00109483 0.000559501i
\(521\) 13.8290 + 13.8290i 0.605861 + 0.605861i 0.941862 0.336001i \(-0.109074\pi\)
−0.336001 + 0.941862i \(0.609074\pi\)
\(522\) 8.40746 + 2.49406i 0.367984 + 0.109162i
\(523\) −20.8657 + 8.64286i −0.912393 + 0.377926i −0.788972 0.614429i \(-0.789387\pi\)
−0.123421 + 0.992354i \(0.539387\pi\)
\(524\) −3.41815 + 18.3607i −0.149323 + 0.802092i
\(525\) −6.54516 + 15.8014i −0.285654 + 0.689630i
\(526\) 1.46150 + 13.9589i 0.0637244 + 0.608639i
\(527\) 36.0799i 1.57167i
\(528\) −5.14358 + 2.28022i −0.223846 + 0.0992337i
\(529\) 22.9360i 0.997218i
\(530\) 0.0863757 0.00904353i 0.00375192 0.000392826i
\(531\) −1.59507 + 3.85084i −0.0692202 + 0.167112i
\(532\) −39.4802 + 27.0875i −1.71168 + 1.17439i
\(533\) 6.43201 2.66423i 0.278601 0.115400i
\(534\) −5.66595 + 19.0999i −0.245189 + 0.826532i
\(535\) 0.0283526 + 0.0283526i 0.00122579 + 0.00122579i
\(536\) 8.71175 + 10.2250i 0.376290 + 0.441651i
\(537\) 2.10832 2.10832i 0.0909805 0.0909805i
\(538\) −1.02174 1.88360i −0.0440502 0.0812077i
\(539\) −2.53053 6.10925i −0.108998 0.263144i
\(540\) −0.0113665 0.00739444i −0.000489138 0.000318206i
\(541\) 24.5863 + 10.1840i 1.05705 + 0.437843i 0.842402 0.538849i \(-0.181141\pi\)
0.214645 + 0.976692i \(0.431141\pi\)
\(542\) 2.41267 + 1.95534i 0.103633 + 0.0839889i
\(543\) −6.74682 −0.289534
\(544\) 31.7948 + 8.58757i 1.36319 + 0.368189i
\(545\) 0.0174145 0.000745953
\(546\) −5.49477 4.45321i −0.235154 0.190580i
\(547\) 9.15022 + 3.79015i 0.391235 + 0.162055i 0.569625 0.821905i \(-0.307089\pi\)
−0.178389 + 0.983960i \(0.557089\pi\)
\(548\) −0.168312 + 0.258724i −0.00718993 + 0.0110522i
\(549\) 3.01297 + 7.27395i 0.128590 + 0.310444i
\(550\) −4.74232 8.74260i −0.202213 0.372786i
\(551\) −30.6868 + 30.6868i −1.30730 + 1.30730i
\(552\) 0.0569942 0.713239i 0.00242584 0.0303575i
\(553\) −3.44572 3.44572i −0.146527 0.146527i
\(554\) 10.4748 35.3104i 0.445031 1.50020i
\(555\) −0.0332169 + 0.0137589i −0.00140998 + 0.000584033i
\(556\) −7.11224 10.3661i −0.301626 0.439622i
\(557\) −2.57099 + 6.20693i −0.108936 + 0.262996i −0.968942 0.247289i \(-0.920460\pi\)
0.860005 + 0.510285i \(0.170460\pi\)
\(558\) −8.71650 + 0.912617i −0.368999 + 0.0386342i
\(559\) 14.8368i 0.627530i
\(560\) −0.0927418 + 0.00228008i −0.00391906 + 9.63511e-5i
\(561\) 8.18913i 0.345746i
\(562\) −3.75246 35.8402i −0.158288 1.51183i
\(563\) −16.2626 + 39.2615i −0.685388 + 1.65467i 0.0684842 + 0.997652i \(0.478184\pi\)
−0.753872 + 0.657021i \(0.771816\pi\)
\(564\) −24.5876 4.57739i −1.03533 0.192743i
\(565\) −0.0277373 + 0.0114892i −0.00116692 + 0.000483353i
\(566\) −4.10469 1.21765i −0.172533 0.0511817i
\(567\) −2.41880 2.41880i −0.101580 0.101580i
\(568\) −22.6511 + 7.32976i −0.950420 + 0.307550i
\(569\) −23.1230 + 23.1230i −0.969368 + 0.969368i −0.999545 0.0301764i \(-0.990393\pi\)
0.0301764 + 0.999545i \(0.490393\pi\)
\(570\) 0.0589851 0.0319958i 0.00247061 0.00134015i
\(571\) −3.47053 8.37861i −0.145237 0.350634i 0.834474 0.551047i \(-0.185772\pi\)
−0.979711 + 0.200413i \(0.935772\pi\)
\(572\) 4.02376 0.851914i 0.168242 0.0356203i
\(573\) −4.73208 1.96009i −0.197686 0.0818841i
\(574\) 14.5041 17.8964i 0.605388 0.746981i
\(575\) 1.26485 0.0527478
\(576\) −1.27043 + 7.89848i −0.0529346 + 0.329103i
\(577\) 18.7910 0.782278 0.391139 0.920332i \(-0.372081\pi\)
0.391139 + 0.920332i \(0.372081\pi\)
\(578\) −15.0443 + 18.5630i −0.625762 + 0.772120i
\(579\) −19.2121 7.95793i −0.798429 0.330720i
\(580\) −0.0822630 + 0.0174168i −0.00341579 + 0.000723193i
\(581\) −10.3851 25.0719i −0.430847 1.04016i
\(582\) −1.54217 + 0.836530i −0.0639249 + 0.0346753i
\(583\) −9.00873 + 9.00873i −0.373104 + 0.373104i
\(584\) −9.67393 29.8953i −0.400310 1.23708i
\(585\) 0.00700931 + 0.00700931i 0.000289799 + 0.000289799i
\(586\) 12.4711 + 3.69953i 0.515176 + 0.152826i
\(587\) −28.1601 + 11.6643i −1.16229 + 0.481436i −0.878637 0.477490i \(-0.841547\pi\)
−0.283653 + 0.958927i \(0.591547\pi\)
\(588\) −9.24352 1.72083i −0.381196 0.0709659i
\(589\) 16.5973 40.0693i 0.683878 1.65103i
\(590\) −0.00416166 0.0397485i −0.000171333 0.00163642i
\(591\) 9.07640i 0.373353i
\(592\) 15.3629 + 14.6256i 0.631412 + 0.601110i
\(593\) 12.2535i 0.503189i 0.967833 + 0.251594i \(0.0809549\pi\)
−0.967833 + 0.251594i \(0.919045\pi\)
\(594\) 1.97840 0.207138i 0.0811748 0.00849899i
\(595\) 0.0516723 0.124748i 0.00211836 0.00511417i
\(596\) −18.9491 27.6184i −0.776185 1.13129i
\(597\) 12.7998 5.30184i 0.523859 0.216990i
\(598\) −0.148755 + 0.501454i −0.00608306 + 0.0205060i
\(599\) 8.63937 + 8.63937i 0.352995 + 0.352995i 0.861223 0.508228i \(-0.169699\pi\)
−0.508228 + 0.861223i \(0.669699\pi\)
\(600\) −14.0971 1.12648i −0.575510 0.0459884i
\(601\) −14.3695 + 14.3695i −0.586143 + 0.586143i −0.936585 0.350441i \(-0.886032\pi\)
0.350441 + 0.936585i \(0.386032\pi\)
\(602\) 23.4075 + 43.1524i 0.954019 + 1.75876i
\(603\) −1.81747 4.38775i −0.0740130 0.178683i
\(604\) −14.4801 + 22.2584i −0.589187 + 0.905681i
\(605\) 0.0565102 + 0.0234073i 0.00229747 + 0.000951642i
\(606\) 17.6842 + 14.3321i 0.718371 + 0.582201i
\(607\) 21.4916 0.872319 0.436159 0.899869i \(-0.356338\pi\)
0.436159 + 0.899869i \(0.356338\pi\)
\(608\) −31.3600 24.1632i −1.27182 0.979945i
\(609\) −21.2119 −0.859548
\(610\) −0.0586494 0.0475322i −0.00237465 0.00192452i
\(611\) 16.8911 + 6.99653i 0.683341 + 0.283049i
\(612\) −9.76038 6.34957i −0.394540 0.256666i
\(613\) 12.3921 + 29.9172i 0.500513 + 1.20834i 0.949205 + 0.314658i \(0.101890\pi\)
−0.448693 + 0.893686i \(0.648110\pi\)
\(614\) 2.49777 + 4.60472i 0.100802 + 0.185831i
\(615\) −0.0228292 + 0.0228292i −0.000920563 + 0.000920563i
\(616\) 10.3590 8.82592i 0.417374 0.355606i
\(617\) 17.5651 + 17.5651i 0.707143 + 0.707143i 0.965933 0.258790i \(-0.0833239\pi\)
−0.258790 + 0.965933i \(0.583324\pi\)
\(618\) −3.18844 + 10.7482i −0.128258 + 0.432357i
\(619\) −16.3569 + 6.77526i −0.657440 + 0.272321i −0.686361 0.727261i \(-0.740793\pi\)
0.0289208 + 0.999582i \(0.490793\pi\)
\(620\) 0.0692930 0.0475422i 0.00278287 0.00190934i
\(621\) −0.0968082 + 0.233716i −0.00388478 + 0.00937869i
\(622\) −44.6351 + 4.67330i −1.78971 + 0.187382i
\(623\) 48.1886i 1.93064i
\(624\) 2.10452 5.45635i 0.0842481 0.218429i
\(625\) 24.9993i 0.999972i
\(626\) 0.468507 + 4.47476i 0.0187253 + 0.178847i
\(627\) −3.76711 + 9.09461i −0.150444 + 0.363204i
\(628\) −0.380202 + 2.04227i −0.0151717 + 0.0814955i
\(629\) −28.5232 + 11.8147i −1.13729 + 0.471083i
\(630\) 0.0314447 + 0.00932802i 0.00125279 + 0.000371637i
\(631\) 23.6874 + 23.6874i 0.942982 + 0.942982i 0.998460 0.0554784i \(-0.0176684\pi\)
−0.0554784 + 0.998460i \(0.517668\pi\)
\(632\) 1.83355 3.58791i 0.0729349 0.142719i
\(633\) −4.79763 + 4.79763i −0.190689 + 0.190689i
\(634\) −42.2953 + 22.9426i −1.67976 + 0.911167i
\(635\) −0.0378630 0.0914094i −0.00150255 0.00362747i
\(636\) 3.75218 + 17.7223i 0.148784 + 0.702735i
\(637\) 6.35007 + 2.63029i 0.251599 + 0.104216i
\(638\) 7.76662 9.58314i 0.307483 0.379400i
\(639\) 8.41723 0.332981
\(640\) −0.0254029 0.0723790i −0.00100414 0.00286103i
\(641\) 6.79529 0.268398 0.134199 0.990954i \(-0.457154\pi\)
0.134199 + 0.990954i \(0.457154\pi\)
\(642\) −5.26595 + 6.49759i −0.207830 + 0.256439i
\(643\) −18.4729 7.65173i −0.728500 0.301755i −0.0125646 0.999921i \(-0.504000\pi\)
−0.715935 + 0.698166i \(0.754000\pi\)
\(644\) 0.358475 + 1.69315i 0.0141259 + 0.0667194i
\(645\) −0.0263302 0.0635668i −0.00103675 0.00250294i
\(646\) 50.6502 27.4746i 1.99281 1.08097i
\(647\) −5.34732 + 5.34732i −0.210225 + 0.210225i −0.804363 0.594138i \(-0.797493\pi\)
0.594138 + 0.804363i \(0.297493\pi\)
\(648\) 1.28710 2.51860i 0.0505621 0.0989401i
\(649\) 4.14565 + 4.14565i 0.162731 + 0.162731i
\(650\) 9.91115 + 2.94013i 0.388747 + 0.115321i
\(651\) 19.5850 8.11239i 0.767598 0.317950i
\(652\) −2.93009 + 15.7391i −0.114751 + 0.616390i
\(653\) −1.51225 + 3.65091i −0.0591791 + 0.142871i −0.950703 0.310102i \(-0.899637\pi\)
0.891524 + 0.452973i \(0.149637\pi\)
\(654\) 0.378243 + 3.61264i 0.0147905 + 0.141266i
\(655\) 0.0633126i 0.00247383i
\(656\) 17.7713 + 6.85438i 0.693851 + 0.267619i
\(657\) 11.1092i 0.433411i
\(658\) 60.1655 6.29932i 2.34549 0.245573i
\(659\) −7.07771 + 17.0871i −0.275708 + 0.665619i −0.999708 0.0241818i \(-0.992302\pi\)
0.723999 + 0.689801i \(0.242302\pi\)
\(660\) −0.0157276 + 0.0107907i −0.000612194 + 0.000420029i
\(661\) 15.2261 6.30685i 0.592226 0.245308i −0.0663821 0.997794i \(-0.521146\pi\)
0.658608 + 0.752486i \(0.271146\pi\)
\(662\) 10.7112 36.1074i 0.416303 1.40335i
\(663\) 6.01886 + 6.01886i 0.233753 + 0.233753i
\(664\) 17.0802 14.5524i 0.662839 0.564744i
\(665\) −0.114772 + 0.114772i −0.00445065 + 0.00445065i
\(666\) −3.57577 6.59203i −0.138558 0.255436i
\(667\) 0.600311 + 1.44928i 0.0232441 + 0.0561163i
\(668\) −1.65268 1.07514i −0.0639442 0.0415986i
\(669\) 13.4934 + 5.58914i 0.521684 + 0.216089i
\(670\) 0.0353782 + 0.0286722i 0.00136678 + 0.00110770i
\(671\) 11.0744 0.427524
\(672\) −2.48737 19.1898i −0.0959522 0.740265i
\(673\) 5.46222 0.210553 0.105276 0.994443i \(-0.466427\pi\)
0.105276 + 0.994443i \(0.466427\pi\)
\(674\) 22.0848 + 17.8985i 0.850673 + 0.689425i
\(675\) 4.61936 + 1.91340i 0.177799 + 0.0736468i
\(676\) 11.8468 18.2106i 0.455646 0.700407i
\(677\) −4.02477 9.71665i −0.154684 0.373441i 0.827472 0.561507i \(-0.189778\pi\)
−0.982156 + 0.188066i \(0.939778\pi\)
\(678\) −2.98590 5.50458i −0.114673 0.211402i
\(679\) 3.00070 3.00070i 0.115156 0.115156i
\(680\) 0.111293 + 0.00889328i 0.00426788 + 0.000341042i
\(681\) −2.87104 2.87104i −0.110018 0.110018i
\(682\) −3.50594 + 11.8185i −0.134249 + 0.452553i
\(683\) 39.7212 16.4530i 1.51989 0.629558i 0.542319 0.840173i \(-0.317547\pi\)
0.977569 + 0.210615i \(0.0675466\pi\)
\(684\) 7.91871 + 11.5416i 0.302779 + 0.441302i
\(685\) −0.000400418 0 0.000966695i −1.52992e−5 0 3.69355e-5i
\(686\) −11.0604 + 1.15802i −0.422287 + 0.0442134i
\(687\) 5.39714i 0.205914i
\(688\) −27.9889 + 29.3998i −1.06707 + 1.12086i
\(689\) 13.2425i 0.504499i
\(690\) −0.000252580 0.00241242i −9.61555e−6 9.18391e-5i
\(691\) 7.36888 17.7900i 0.280325 0.676765i −0.719518 0.694474i \(-0.755637\pi\)
0.999843 + 0.0177088i \(0.00563718\pi\)
\(692\) −33.9712 6.32429i −1.29139 0.240414i
\(693\) −4.44525 + 1.84128i −0.168861 + 0.0699446i
\(694\) −18.5545 5.50416i −0.704319 0.208935i
\(695\) −0.0301350 0.0301350i −0.00114309 0.00114309i
\(696\) −5.39989 16.6872i −0.204682 0.632528i
\(697\) −19.6033 + 19.6033i −0.742529 + 0.742529i
\(698\) −22.3192 + 12.1068i −0.844795 + 0.458249i
\(699\) −11.0947 26.7850i −0.419640 1.01310i
\(700\) 33.4648 7.08520i 1.26485 0.267795i
\(701\) 0.759834 + 0.314734i 0.0286985 + 0.0118873i 0.396987 0.917824i \(-0.370056\pi\)
−0.368288 + 0.929712i \(0.620056\pi\)
\(702\) −1.30184 + 1.60633i −0.0491349 + 0.0606270i
\(703\) 37.1120 1.39970
\(704\) 9.58037 + 5.90252i 0.361074 + 0.222460i
\(705\) −0.0847847 −0.00319318
\(706\) 9.68941 11.9556i 0.364666 0.449957i
\(707\) −50.8672 21.0699i −1.91306 0.792415i
\(708\) 8.15546 1.72668i 0.306501 0.0648927i
\(709\) −18.3991 44.4194i −0.690994 1.66821i −0.742768 0.669548i \(-0.766488\pi\)
0.0517745 0.998659i \(-0.483512\pi\)
\(710\) −0.0709430 + 0.0384822i −0.00266244 + 0.00144421i
\(711\) −1.00732 + 1.00732i −0.0377773 + 0.0377773i
\(712\) 37.9097 12.2673i 1.42072 0.459738i
\(713\) −1.10854 1.10854i −0.0415152 0.0415152i
\(714\) 27.0014 + 8.00993i 1.01050 + 0.299764i
\(715\) 0.0128817 0.00533576i 0.000481747 0.000199546i
\(716\) −5.86249 1.09140i −0.219092 0.0407875i
\(717\) −0.855950 + 2.06645i −0.0319660 + 0.0771729i
\(718\) −1.15419 11.0238i −0.0430739 0.411403i
\(719\) 0.494401i 0.0184380i −0.999958 0.00921901i \(-0.997065\pi\)
0.999958 0.00921901i \(-0.00293455\pi\)
\(720\) 0.000666555 0.0271120i 2.48410e−5 0.00101040i
\(721\) 27.1175i 1.00991i
\(722\) −42.1653 + 4.41471i −1.56923 + 0.164298i
\(723\) −7.52948 + 18.1778i −0.280024 + 0.676039i
\(724\) 7.63398 + 11.1266i 0.283715 + 0.413516i
\(725\) 28.6448 11.8651i 1.06384 0.440657i
\(726\) −3.62846 + 12.2315i −0.134665 + 0.453954i
\(727\) 13.9621 + 13.9621i 0.517826 + 0.517826i 0.916913 0.399087i \(-0.130673\pi\)
−0.399087 + 0.916913i \(0.630673\pi\)
\(728\) −1.12676 + 14.1005i −0.0417604 + 0.522600i
\(729\) −0.707107 + 0.707107i −0.0261891 + 0.0261891i
\(730\) −0.0507894 0.0936317i −0.00187980 0.00346546i
\(731\) −22.6097 54.5845i −0.836248 2.01888i
\(732\) 8.58673 13.1993i 0.317375 0.487859i
\(733\) 21.0117 + 8.70335i 0.776087 + 0.321466i 0.735335 0.677704i \(-0.237025\pi\)
0.0407515 + 0.999169i \(0.487025\pi\)
\(734\) −3.29602 2.67125i −0.121658 0.0985976i
\(735\) −0.0318741 −0.00117569
\(736\) −1.24073 + 0.713033i −0.0457340 + 0.0262828i
\(737\) −6.68026 −0.246071
\(738\) −5.23179 4.24009i −0.192585 0.156080i
\(739\) −23.9176 9.90698i −0.879822 0.364434i −0.103394 0.994640i \(-0.532970\pi\)
−0.776428 + 0.630206i \(0.782970\pi\)
\(740\) 0.0602753 + 0.0392118i 0.00221577 + 0.00144146i
\(741\) −3.91561 9.45312i −0.143844 0.347269i
\(742\) −20.8922 38.5154i −0.766977 1.41394i
\(743\) 22.7644 22.7644i 0.835144 0.835144i −0.153071 0.988215i \(-0.548916\pi\)
0.988215 + 0.153071i \(0.0489164\pi\)
\(744\) 11.3677 + 13.3423i 0.416761 + 0.489151i
\(745\) −0.0802886 0.0802886i −0.00294155 0.00294155i
\(746\) −6.68260 + 22.5270i −0.244667 + 0.824772i
\(747\) −7.32946 + 3.03596i −0.268171 + 0.111080i
\(748\) −13.5052 + 9.26595i −0.493798 + 0.338797i
\(749\) 7.74158 18.6898i 0.282871 0.682912i
\(750\) −0.0953626 + 0.00998445i −0.00348215 + 0.000364581i
\(751\) 31.4436i 1.14739i −0.819068 0.573697i \(-0.805509\pi\)
0.819068 0.573697i \(-0.194491\pi\)
\(752\) 20.2719 + 45.7282i 0.739241 + 1.66754i
\(753\) 6.32225i 0.230396i
\(754\) 1.33511 + 12.7517i 0.0486217 + 0.464391i
\(755\) −0.0344485 + 0.0831660i −0.00125371 + 0.00302672i
\(756\) −1.25212 + 6.72583i −0.0455393 + 0.244616i
\(757\) −23.6692 + 9.80412i −0.860273 + 0.356337i −0.768814 0.639472i \(-0.779153\pi\)
−0.0914586 + 0.995809i \(0.529153\pi\)
\(758\) −8.87560 2.63293i −0.322376 0.0956324i
\(759\) 0.251608 + 0.251608i 0.00913279 + 0.00913279i
\(760\) −0.119507 0.0610727i −0.00433499 0.00221534i
\(761\) −5.35154 + 5.35154i −0.193993 + 0.193993i −0.797419 0.603426i \(-0.793802\pi\)
0.603426 + 0.797419i \(0.293802\pi\)
\(762\) 18.1406 9.84014i 0.657164 0.356471i
\(763\) −3.36226 8.11722i −0.121722 0.293863i
\(764\) 2.12182 + 10.0218i 0.0767647 + 0.362575i
\(765\) −0.0364686 0.0151058i −0.00131852 0.000546151i
\(766\) −28.6230 + 35.3175i −1.03419 + 1.27607i
\(767\) −6.09394 −0.220040
\(768\) 14.4633 6.84194i 0.521900 0.246887i
\(769\) 16.9993 0.613011 0.306505 0.951869i \(-0.400840\pi\)
0.306505 + 0.951869i \(0.400840\pi\)
\(770\) 0.0290479 0.0358419i 0.00104681 0.00129165i
\(771\) 8.74002 + 3.62023i 0.314764 + 0.130380i
\(772\) 8.61453 + 40.6882i 0.310044 + 1.46440i
\(773\) −16.2444 39.2174i −0.584269 1.41055i −0.888910 0.458083i