Properties

Label 483.2.r.a.181.3
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.3
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.351125 - 2.44213i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-3.92172 + 1.15152i) q^{4} +(-2.70553 + 3.12235i) q^{5} +(-0.695102 + 2.36730i) q^{6} +(-0.374078 - 2.61917i) q^{7} +(2.13932 + 4.68445i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.351125 - 2.44213i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-3.92172 + 1.15152i) q^{4} +(-2.70553 + 3.12235i) q^{5} +(-0.695102 + 2.36730i) q^{6} +(-0.374078 - 2.61917i) q^{7} +(2.13932 + 4.68445i) q^{8} +(0.654861 + 0.755750i) q^{9} +(8.57515 + 5.51091i) q^{10} +(2.25862 + 0.324741i) q^{11} +(4.04568 + 0.581681i) q^{12} +(-0.473459 + 0.736717i) q^{13} +(-6.26501 + 1.83320i) q^{14} +(3.75810 - 1.71627i) q^{15} +(3.81199 - 2.44982i) q^{16} +(4.80417 + 1.41063i) q^{17} +(1.61570 - 1.86462i) q^{18} +(-3.12666 + 0.918069i) q^{19} +(7.01488 - 15.3604i) q^{20} +(-0.747770 + 2.53788i) q^{21} -5.62987i q^{22} +(4.44843 + 1.79207i) q^{23} -5.14983i q^{24} +(-1.71759 - 11.9461i) q^{25} +(1.96540 + 0.897569i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(4.48306 + 9.84090i) q^{28} +(-0.842253 - 0.247308i) q^{29} +(-5.51091 - 8.57515i) q^{30} +(6.39027 - 2.91834i) q^{31} +(-0.576407 - 0.665210i) q^{32} +(-1.91961 - 1.23366i) q^{33} +(1.75808 - 12.2277i) q^{34} +(9.19004 + 5.91824i) q^{35} +(-3.43844 - 2.20975i) q^{36} +(-5.73937 + 4.97320i) q^{37} +(3.33989 + 7.31334i) q^{38} +(0.736717 - 0.473459i) q^{39} +(-20.4145 - 5.99423i) q^{40} +(1.97330 + 1.70987i) q^{41} +(6.46039 + 0.935038i) q^{42} +(7.21274 + 3.29395i) q^{43} +(-9.23163 + 1.32731i) q^{44} -4.13145 q^{45} +(2.81451 - 11.4929i) q^{46} +7.08348i q^{47} +(-4.48520 + 0.644874i) q^{48} +(-6.72013 + 1.95955i) q^{49} +(-28.5708 + 8.38914i) q^{50} +(-3.78403 - 3.27888i) q^{51} +(1.00843 - 3.43440i) q^{52} +(4.26125 + 6.63063i) q^{53} +(-2.24428 + 1.02493i) q^{54} +(-7.12472 + 6.17360i) q^{55} +(11.4691 - 7.35560i) q^{56} +(3.22549 + 0.463755i) q^{57} +(-0.308221 + 2.14373i) q^{58} +(-3.91379 + 6.08998i) q^{59} +(-12.7619 + 11.0583i) q^{60} +(0.502761 + 1.10089i) q^{61} +(-9.37075 - 14.5812i) q^{62} +(1.73447 - 1.99790i) q^{63} +(4.51263 - 5.20786i) q^{64} +(-1.01933 - 3.47151i) q^{65} +(-2.33873 + 5.12111i) q^{66} +(10.3660 - 1.49040i) q^{67} -20.4650 q^{68} +(-3.30198 - 3.47807i) q^{69} +(11.2263 - 24.5213i) q^{70} +(1.86558 + 12.9754i) q^{71} +(-2.13932 + 4.68445i) q^{72} +(0.659386 + 2.24566i) q^{73} +(14.1604 + 12.2701i) q^{74} +(-3.40021 + 11.5800i) q^{75} +(11.2047 - 7.20082i) q^{76} +(0.00565131 - 6.03720i) q^{77} +(-1.41493 - 1.63292i) q^{78} +(5.50409 - 8.56453i) q^{79} +(-2.66427 + 18.5304i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(3.48286 - 5.41944i) q^{82} +(-1.88668 - 2.17735i) q^{83} +(0.0101227 - 10.8139i) q^{84} +(-17.4023 + 11.1838i) q^{85} +(5.51167 - 18.7710i) q^{86} +(0.663405 + 0.574844i) q^{87} +(3.31068 + 11.2751i) q^{88} +(5.95488 - 13.0394i) q^{89} +(1.45066 + 10.0895i) q^{90} +(2.10670 + 0.964482i) q^{91} +(-19.5091 - 1.90554i) q^{92} -7.02512 q^{93} +(17.2988 - 2.48719i) q^{94} +(5.59273 - 12.2464i) q^{95} +(0.247981 + 0.844544i) q^{96} +(-6.42254 + 7.41201i) q^{97} +(7.14508 + 15.7234i) q^{98} +(1.23366 + 1.91961i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.351125 2.44213i −0.248283 1.72685i −0.608132 0.793836i \(-0.708081\pi\)
0.359849 0.933010i \(-0.382828\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −3.92172 + 1.15152i −1.96086 + 0.575760i
\(5\) −2.70553 + 3.12235i −1.20995 + 1.39636i −0.315655 + 0.948874i \(0.602224\pi\)
−0.894293 + 0.447481i \(0.852321\pi\)
\(6\) −0.695102 + 2.36730i −0.283774 + 0.966447i
\(7\) −0.374078 2.61917i −0.141388 0.989954i
\(8\) 2.13932 + 4.68445i 0.756363 + 1.65620i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 8.57515 + 5.51091i 2.71170 + 1.74270i
\(11\) 2.25862 + 0.324741i 0.681000 + 0.0979130i 0.474129 0.880455i \(-0.342763\pi\)
0.206871 + 0.978368i \(0.433672\pi\)
\(12\) 4.04568 + 0.581681i 1.16789 + 0.167917i
\(13\) −0.473459 + 0.736717i −0.131314 + 0.204329i −0.900684 0.434475i \(-0.856934\pi\)
0.769370 + 0.638804i \(0.220570\pi\)
\(14\) −6.26501 + 1.83320i −1.67439 + 0.489944i
\(15\) 3.75810 1.71627i 0.970338 0.443139i
\(16\) 3.81199 2.44982i 0.952998 0.612454i
\(17\) 4.80417 + 1.41063i 1.16518 + 0.342128i 0.806444 0.591310i \(-0.201389\pi\)
0.358737 + 0.933439i \(0.383207\pi\)
\(18\) 1.61570 1.86462i 0.380824 0.439494i
\(19\) −3.12666 + 0.918069i −0.717304 + 0.210620i −0.619963 0.784631i \(-0.712852\pi\)
−0.0973419 + 0.995251i \(0.531034\pi\)
\(20\) 7.01488 15.3604i 1.56857 3.43470i
\(21\) −0.747770 + 2.53788i −0.163177 + 0.553811i
\(22\) 5.62987i 1.20029i
\(23\) 4.44843 + 1.79207i 0.927561 + 0.373672i
\(24\) 5.14983i 1.05121i
\(25\) −1.71759 11.9461i −0.343517 2.38922i
\(26\) 1.96540 + 0.897569i 0.385447 + 0.176028i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 4.48306 + 9.84090i 0.847219 + 1.85976i
\(29\) −0.842253 0.247308i −0.156402 0.0459239i 0.202594 0.979263i \(-0.435063\pi\)
−0.358997 + 0.933339i \(0.616881\pi\)
\(30\) −5.51091 8.57515i −1.00615 1.56560i
\(31\) 6.39027 2.91834i 1.14773 0.524149i 0.251549 0.967844i \(-0.419060\pi\)
0.896178 + 0.443695i \(0.146333\pi\)
\(32\) −0.576407 0.665210i −0.101895 0.117594i
\(33\) −1.91961 1.23366i −0.334162 0.214753i
\(34\) 1.75808 12.2277i 0.301508 2.09703i
\(35\) 9.19004 + 5.91824i 1.55340 + 1.00037i
\(36\) −3.43844 2.20975i −0.573074 0.368292i
\(37\) −5.73937 + 4.97320i −0.943547 + 0.817588i −0.983369 0.181618i \(-0.941866\pi\)
0.0398218 + 0.999207i \(0.487321\pi\)
\(38\) 3.33989 + 7.31334i 0.541802 + 1.18638i
\(39\) 0.736717 0.473459i 0.117969 0.0758142i
\(40\) −20.4145 5.99423i −3.22781 0.947771i
\(41\) 1.97330 + 1.70987i 0.308178 + 0.267038i 0.795194 0.606356i \(-0.207369\pi\)
−0.487016 + 0.873393i \(0.661915\pi\)
\(42\) 6.46039 + 0.935038i 0.996860 + 0.144279i
\(43\) 7.21274 + 3.29395i 1.09993 + 0.502322i 0.880855 0.473385i \(-0.156968\pi\)
0.219077 + 0.975708i \(0.429695\pi\)
\(44\) −9.23163 + 1.32731i −1.39172 + 0.200099i
\(45\) −4.13145 −0.615881
\(46\) 2.81451 11.4929i 0.414977 1.69453i
\(47\) 7.08348i 1.03323i 0.856217 + 0.516616i \(0.172809\pi\)
−0.856217 + 0.516616i \(0.827191\pi\)
\(48\) −4.48520 + 0.644874i −0.647383 + 0.0930796i
\(49\) −6.72013 + 1.95955i −0.960019 + 0.279936i
\(50\) −28.5708 + 8.38914i −4.04052 + 1.18640i
\(51\) −3.78403 3.27888i −0.529870 0.459135i
\(52\) 1.00843 3.43440i 0.139844 0.476265i
\(53\) 4.26125 + 6.63063i 0.585327 + 0.910787i 1.00000 0.000816111i \(0.000259776\pi\)
−0.414673 + 0.909971i \(0.636104\pi\)
\(54\) −2.24428 + 1.02493i −0.305408 + 0.139475i
\(55\) −7.12472 + 6.17360i −0.960696 + 0.832448i
\(56\) 11.4691 7.35560i 1.53263 0.982933i
\(57\) 3.22549 + 0.463755i 0.427226 + 0.0614259i
\(58\) −0.308221 + 2.14373i −0.0404715 + 0.281485i
\(59\) −3.91379 + 6.08998i −0.509533 + 0.792848i −0.996761 0.0804267i \(-0.974372\pi\)
0.487228 + 0.873275i \(0.338008\pi\)
\(60\) −12.7619 + 11.0583i −1.64756 + 1.42762i
\(61\) 0.502761 + 1.10089i 0.0643720 + 0.140955i 0.939084 0.343689i \(-0.111677\pi\)
−0.874712 + 0.484644i \(0.838949\pi\)
\(62\) −9.37075 14.5812i −1.19009 1.85181i
\(63\) 1.73447 1.99790i 0.218523 0.251712i
\(64\) 4.51263 5.20786i 0.564079 0.650982i
\(65\) −1.01933 3.47151i −0.126432 0.430588i
\(66\) −2.33873 + 5.12111i −0.287878 + 0.630365i
\(67\) 10.3660 1.49040i 1.26640 0.182081i 0.523817 0.851831i \(-0.324508\pi\)
0.742587 + 0.669749i \(0.233598\pi\)
\(68\) −20.4650 −2.48174
\(69\) −3.30198 3.47807i −0.397511 0.418710i
\(70\) 11.2263 24.5213i 1.34179 2.93086i
\(71\) 1.86558 + 12.9754i 0.221403 + 1.53989i 0.732737 + 0.680512i \(0.238243\pi\)
−0.511333 + 0.859383i \(0.670848\pi\)
\(72\) −2.13932 + 4.68445i −0.252121 + 0.552068i
\(73\) 0.659386 + 2.24566i 0.0771752 + 0.262835i 0.989038 0.147660i \(-0.0471742\pi\)
−0.911863 + 0.410495i \(0.865356\pi\)
\(74\) 14.1604 + 12.2701i 1.64612 + 1.42637i
\(75\) −3.40021 + 11.5800i −0.392622 + 1.33715i
\(76\) 11.2047 7.20082i 1.28527 0.825991i
\(77\) 0.00565131 6.03720i 0.000644026 0.688003i
\(78\) −1.41493 1.63292i −0.160209 0.184891i
\(79\) 5.50409 8.56453i 0.619259 0.963585i −0.379996 0.924988i \(-0.624075\pi\)
0.999255 0.0385971i \(-0.0122889\pi\)
\(80\) −2.66427 + 18.5304i −0.297874 + 2.07176i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 3.48286 5.41944i 0.384618 0.598477i
\(83\) −1.88668 2.17735i −0.207090 0.238995i 0.642697 0.766120i \(-0.277815\pi\)
−0.849788 + 0.527125i \(0.823270\pi\)
\(84\) 0.0101227 10.8139i 0.00110448 1.17990i
\(85\) −17.4023 + 11.1838i −1.88754 + 1.21305i
\(86\) 5.51167 18.7710i 0.594339 2.02413i
\(87\) 0.663405 + 0.574844i 0.0711245 + 0.0616297i
\(88\) 3.31068 + 11.2751i 0.352919 + 1.20193i
\(89\) 5.95488 13.0394i 0.631216 1.38217i −0.275857 0.961199i \(-0.588962\pi\)
0.907074 0.420972i \(-0.138311\pi\)
\(90\) 1.45066 + 10.0895i 0.152913 + 1.06353i
\(91\) 2.10670 + 0.964482i 0.220842 + 0.101105i
\(92\) −19.5091 1.90554i −2.03396 0.198666i
\(93\) −7.02512 −0.728471
\(94\) 17.2988 2.48719i 1.78423 0.256534i
\(95\) 5.59273 12.2464i 0.573802 1.25645i
\(96\) 0.247981 + 0.844544i 0.0253094 + 0.0861959i
\(97\) −6.42254 + 7.41201i −0.652110 + 0.752575i −0.981467 0.191630i \(-0.938623\pi\)
0.329357 + 0.944206i \(0.393168\pi\)
\(98\) 7.14508 + 15.7234i 0.721762 + 1.58830i
\(99\) 1.23366 + 1.91961i 0.123987 + 0.192928i
\(100\) 20.4920 + 44.8713i 2.04920 + 4.48713i
\(101\) −5.47005 + 4.73982i −0.544290 + 0.471630i −0.883074 0.469234i \(-0.844530\pi\)
0.338784 + 0.940864i \(0.389984\pi\)
\(102\) −6.67878 + 10.3924i −0.661297 + 1.02900i
\(103\) −2.01933 + 14.0447i −0.198970 + 1.38387i 0.608309 + 0.793700i \(0.291848\pi\)
−0.807279 + 0.590170i \(0.799061\pi\)
\(104\) −4.46400 0.641826i −0.437731 0.0629362i
\(105\) −5.90103 9.20110i −0.575881 0.897936i
\(106\) 14.6966 12.7347i 1.42746 1.23690i
\(107\) −2.08946 + 0.954227i −0.201996 + 0.0922486i −0.513845 0.857883i \(-0.671779\pi\)
0.311848 + 0.950132i \(0.399052\pi\)
\(108\) 2.20975 + 3.43844i 0.212634 + 0.330864i
\(109\) −0.872951 + 2.97300i −0.0836135 + 0.284762i −0.990677 0.136233i \(-0.956501\pi\)
0.907063 + 0.420994i \(0.138319\pi\)
\(110\) 17.5784 + 15.2318i 1.67603 + 1.45229i
\(111\) 7.28666 2.13956i 0.691619 0.203078i
\(112\) −7.84248 9.06784i −0.741044 0.856830i
\(113\) 13.6062 1.95628i 1.27996 0.184031i 0.531415 0.847112i \(-0.321660\pi\)
0.748548 + 0.663081i \(0.230751\pi\)
\(114\) 8.03989i 0.753005i
\(115\) −17.6308 + 9.04103i −1.64408 + 0.843080i
\(116\) 3.58786 0.333125
\(117\) −0.866824 + 0.124630i −0.0801379 + 0.0115221i
\(118\) 16.2468 + 7.41964i 1.49563 + 0.683034i
\(119\) 1.89755 13.1106i 0.173948 1.20185i
\(120\) 16.0796 + 13.9330i 1.46786 + 1.27190i
\(121\) −5.55851 1.63213i −0.505319 0.148375i
\(122\) 2.51199 1.61436i 0.227425 0.146157i
\(123\) −1.08467 2.37510i −0.0978014 0.214155i
\(124\) −21.7003 + 18.8035i −1.94875 + 1.68860i
\(125\) 24.5687 + 15.7894i 2.19750 + 1.41224i
\(126\) −5.48815 3.53428i −0.488923 0.314859i
\(127\) 2.75000 19.1267i 0.244023 1.69722i −0.387508 0.921866i \(-0.626664\pi\)
0.631531 0.775351i \(-0.282427\pi\)
\(128\) −15.7837 10.1436i −1.39509 0.896573i
\(129\) −5.19258 5.99256i −0.457181 0.527615i
\(130\) −8.11997 + 3.70827i −0.712169 + 0.325237i
\(131\) −8.13556 12.6592i −0.710808 1.10604i −0.989342 0.145612i \(-0.953485\pi\)
0.278534 0.960426i \(-0.410151\pi\)
\(132\) 8.94877 + 2.62760i 0.778890 + 0.228703i
\(133\) 3.57420 + 7.84583i 0.309922 + 0.680319i
\(134\) −7.27950 24.7917i −0.628853 2.14168i
\(135\) 3.75810 + 1.71627i 0.323446 + 0.147713i
\(136\) 3.66961 + 25.5227i 0.314666 + 2.18855i
\(137\) 1.86310i 0.159175i 0.996828 + 0.0795877i \(0.0253604\pi\)
−0.996828 + 0.0795877i \(0.974640\pi\)
\(138\) −7.33448 + 9.28509i −0.624352 + 0.790400i
\(139\) 1.52350i 0.129222i −0.997911 0.0646110i \(-0.979419\pi\)
0.997911 0.0646110i \(-0.0205807\pi\)
\(140\) −42.8557 12.6272i −3.62197 1.06719i
\(141\) 2.94258 6.44336i 0.247810 0.542629i
\(142\) 31.0325 9.11197i 2.60419 0.764659i
\(143\) −1.30861 + 1.51021i −0.109431 + 0.126290i
\(144\) 4.34777 + 1.27662i 0.362314 + 0.106385i
\(145\) 3.05092 1.96071i 0.253365 0.162828i
\(146\) 5.25267 2.39881i 0.434714 0.198527i
\(147\) 6.92687 + 1.00917i 0.571319 + 0.0832353i
\(148\) 16.7815 26.1125i 1.37943 2.14643i
\(149\) −13.4840 1.93870i −1.10465 0.158825i −0.434226 0.900804i \(-0.642978\pi\)
−0.670423 + 0.741979i \(0.733887\pi\)
\(150\) 29.4739 + 4.23770i 2.40653 + 0.346007i
\(151\) −4.82845 3.10306i −0.392934 0.252523i 0.329223 0.944252i \(-0.393213\pi\)
−0.722157 + 0.691729i \(0.756849\pi\)
\(152\) −10.9896 12.6826i −0.891372 1.02870i
\(153\) 2.07998 + 4.55451i 0.168156 + 0.368211i
\(154\) −14.7456 + 2.10601i −1.18823 + 0.169707i
\(155\) −8.17700 + 27.8483i −0.656792 + 2.23683i
\(156\) −2.34400 + 2.70512i −0.187670 + 0.216583i
\(157\) 11.3987 3.34697i 0.909717 0.267117i 0.206795 0.978384i \(-0.433697\pi\)
0.702922 + 0.711267i \(0.251878\pi\)
\(158\) −22.8483 10.4345i −1.81771 0.830122i
\(159\) −1.12170 7.80162i −0.0889569 0.618708i
\(160\) 3.63650 0.287491
\(161\) 3.02968 12.3216i 0.238772 0.971076i
\(162\) 2.46724 0.193845
\(163\) 2.65011 + 18.4319i 0.207573 + 1.44370i 0.781044 + 0.624476i \(0.214687\pi\)
−0.573471 + 0.819226i \(0.694404\pi\)
\(164\) −9.70769 4.43335i −0.758043 0.346187i
\(165\) 9.04548 2.65599i 0.704189 0.206769i
\(166\) −4.65490 + 5.37205i −0.361291 + 0.416952i
\(167\) −4.19939 + 14.3018i −0.324959 + 1.10671i 0.621374 + 0.783514i \(0.286575\pi\)
−0.946333 + 0.323194i \(0.895243\pi\)
\(168\) −13.4883 + 1.92644i −1.04065 + 0.148628i
\(169\) 5.08181 + 11.1276i 0.390908 + 0.855970i
\(170\) 33.4226 + 38.5717i 2.56339 + 2.95832i
\(171\) −2.74136 1.76176i −0.209637 0.134725i
\(172\) −32.0794 4.61232i −2.44603 0.351686i
\(173\) −22.2829 3.20379i −1.69413 0.243580i −0.773441 0.633868i \(-0.781466\pi\)
−0.920693 + 0.390288i \(0.872375\pi\)
\(174\) 1.17090 1.82196i 0.0887660 0.138123i
\(175\) −30.6463 + 8.96742i −2.31664 + 0.677873i
\(176\) 9.40540 4.29530i 0.708959 0.323771i
\(177\) 6.08998 3.91379i 0.457751 0.294179i
\(178\) −33.9347 9.96414i −2.54352 0.746844i
\(179\) −7.90021 + 9.11733i −0.590490 + 0.681461i −0.969826 0.243797i \(-0.921607\pi\)
0.379336 + 0.925259i \(0.376152\pi\)
\(180\) 16.2024 4.75746i 1.20766 0.354600i
\(181\) −1.52036 + 3.32912i −0.113007 + 0.247451i −0.957682 0.287829i \(-0.907067\pi\)
0.844675 + 0.535280i \(0.179794\pi\)
\(182\) 1.61567 5.48349i 0.119762 0.406463i
\(183\) 1.21026i 0.0894652i
\(184\) 1.12173 + 24.6723i 0.0826954 + 1.81886i
\(185\) 31.3754i 2.30677i
\(186\) 2.46670 + 17.1563i 0.180867 + 1.25796i
\(187\) 10.3927 + 4.74619i 0.759990 + 0.347076i
\(188\) −8.15678 27.7794i −0.594894 2.02602i
\(189\) −2.40769 + 1.09683i −0.175134 + 0.0797828i
\(190\) −31.8710 9.35816i −2.31216 0.678912i
\(191\) 13.7412 + 21.3817i 0.994276 + 1.54712i 0.827758 + 0.561085i \(0.189616\pi\)
0.166518 + 0.986038i \(0.446748\pi\)
\(192\) −6.26826 + 2.86262i −0.452372 + 0.206592i
\(193\) 0.784522 + 0.905386i 0.0564711 + 0.0651711i 0.783282 0.621666i \(-0.213544\pi\)
−0.726811 + 0.686837i \(0.758998\pi\)
\(194\) 20.3562 + 13.0821i 1.46149 + 0.939243i
\(195\) −0.514905 + 3.58124i −0.0368731 + 0.256458i
\(196\) 24.0980 15.4232i 1.72129 1.10166i
\(197\) 6.45937 + 4.15118i 0.460211 + 0.295759i 0.750129 0.661292i \(-0.229992\pi\)
−0.289918 + 0.957052i \(0.593628\pi\)
\(198\) 4.25477 3.68678i 0.302373 0.262008i
\(199\) −7.17188 15.7042i −0.508401 1.11324i −0.973647 0.228062i \(-0.926761\pi\)
0.465246 0.885182i \(-0.345966\pi\)
\(200\) 52.2864 33.6024i 3.69721 2.37605i
\(201\) −10.0483 2.95046i −0.708756 0.208109i
\(202\) 13.4959 + 11.6943i 0.949570 + 0.822807i
\(203\) −0.332673 + 2.29852i −0.0233491 + 0.161324i
\(204\) 18.6156 + 8.50145i 1.30335 + 0.595221i
\(205\) −10.6776 + 1.53521i −0.745759 + 0.107224i
\(206\) 35.0081 2.43913
\(207\) 1.55874 + 4.53545i 0.108340 + 0.315236i
\(208\) 3.96825i 0.275149i
\(209\) −7.36007 + 1.05822i −0.509107 + 0.0731985i
\(210\) −20.3983 + 17.6418i −1.40762 + 1.21740i
\(211\) −5.80016 + 1.70308i −0.399300 + 0.117245i −0.475216 0.879869i \(-0.657630\pi\)
0.0759162 + 0.997114i \(0.475812\pi\)
\(212\) −24.3467 21.0966i −1.67214 1.44892i
\(213\) 3.69318 12.5778i 0.253052 0.861818i
\(214\) 3.06401 + 4.76769i 0.209451 + 0.325913i
\(215\) −29.7991 + 13.6088i −2.03228 + 0.928112i
\(216\) 3.89199 3.37242i 0.264816 0.229464i
\(217\) −10.0341 15.6455i −0.681159 1.06209i
\(218\) 7.56696 + 1.08796i 0.512499 + 0.0736863i
\(219\) 0.333083 2.31664i 0.0225077 0.156544i
\(220\) 20.8321 32.4154i 1.40450 2.18545i
\(221\) −3.31381 + 2.87144i −0.222911 + 0.193154i
\(222\) −7.78360 17.0437i −0.522401 1.14390i
\(223\) 10.9340 + 17.0137i 0.732198 + 1.13932i 0.985125 + 0.171837i \(0.0549701\pi\)
−0.252928 + 0.967485i \(0.581394\pi\)
\(224\) −1.52668 + 1.75855i −0.102005 + 0.117498i
\(225\) 7.90346 9.12108i 0.526897 0.608072i
\(226\) −9.55495 32.5412i −0.635586 2.16461i
\(227\) 1.16986 2.56163i 0.0776461 0.170021i −0.866828 0.498608i \(-0.833845\pi\)
0.944474 + 0.328586i \(0.106572\pi\)
\(228\) −13.1835 + 1.89550i −0.873097 + 0.125532i
\(229\) 27.8753 1.84205 0.921026 0.389501i \(-0.127353\pi\)
0.921026 + 0.389501i \(0.127353\pi\)
\(230\) 28.2700 + 39.8821i 1.86407 + 2.62975i
\(231\) −2.51308 + 5.48928i −0.165349 + 0.361168i
\(232\) −0.643346 4.47457i −0.0422377 0.293770i
\(233\) 8.35747 18.3003i 0.547516 1.19889i −0.410416 0.911898i \(-0.634616\pi\)
0.957932 0.286995i \(-0.0926563\pi\)
\(234\) 0.608727 + 2.07313i 0.0397937 + 0.135525i
\(235\) −22.1171 19.1646i −1.44276 1.25016i
\(236\) 8.33606 28.3900i 0.542631 1.84803i
\(237\) −8.56453 + 5.50409i −0.556326 + 0.357529i
\(238\) −32.6841 0.0305950i −2.11860 0.00198318i
\(239\) −1.21710 1.40461i −0.0787276 0.0908565i 0.715019 0.699105i \(-0.246418\pi\)
−0.793747 + 0.608248i \(0.791872\pi\)
\(240\) 10.1213 15.7491i 0.653328 1.01660i
\(241\) 3.39587 23.6188i 0.218747 1.52142i −0.523926 0.851764i \(-0.675533\pi\)
0.742673 0.669654i \(-0.233558\pi\)
\(242\) −2.03413 + 14.1477i −0.130759 + 0.909447i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) −3.23939 3.73846i −0.207381 0.239330i
\(245\) 12.0631 26.2842i 0.770684 1.67924i
\(246\) −5.41944 + 3.48286i −0.345531 + 0.222059i
\(247\) 0.803988 2.73813i 0.0511565 0.174223i
\(248\) 27.3417 + 23.6917i 1.73620 + 1.50442i
\(249\) 0.811684 + 2.76434i 0.0514384 + 0.175183i
\(250\) 29.9330 65.5441i 1.89313 4.14537i
\(251\) −3.91302 27.2157i −0.246988 1.71784i −0.615434 0.788188i \(-0.711019\pi\)
0.368447 0.929649i \(-0.379890\pi\)
\(252\) −4.50148 + 9.83249i −0.283566 + 0.619389i
\(253\) 9.46535 + 5.49219i 0.595082 + 0.345291i
\(254\) −47.6754 −2.99142
\(255\) 20.4756 2.94394i 1.28223 0.184357i
\(256\) −13.5046 + 29.5710i −0.844038 + 1.84819i
\(257\) 0.319176 + 1.08701i 0.0199097 + 0.0678061i 0.968849 0.247654i \(-0.0796595\pi\)
−0.948939 + 0.315460i \(0.897841\pi\)
\(258\) −12.8114 + 14.7851i −0.797600 + 0.920480i
\(259\) 15.1726 + 13.1720i 0.942782 + 0.818471i
\(260\) 7.99504 + 12.4405i 0.495831 + 0.771529i
\(261\) −0.364656 0.798485i −0.0225716 0.0494250i
\(262\) −28.0588 + 24.3131i −1.73348 + 1.50207i
\(263\) −7.03322 + 10.9439i −0.433687 + 0.674830i −0.987466 0.157834i \(-0.949549\pi\)
0.553779 + 0.832664i \(0.313185\pi\)
\(264\) 1.67236 11.6315i 0.102927 0.715871i
\(265\) −32.2320 4.63427i −1.98000 0.284681i
\(266\) 17.9055 11.4835i 1.09786 0.704100i
\(267\) −10.8335 + 9.38728i −0.663000 + 0.574492i
\(268\) −38.9362 + 17.7816i −2.37841 + 1.08618i
\(269\) 3.09136 + 4.81026i 0.188484 + 0.293287i 0.922616 0.385720i \(-0.126047\pi\)
−0.734132 + 0.679007i \(0.762411\pi\)
\(270\) 2.87178 9.78040i 0.174771 0.595216i
\(271\) 14.0333 + 12.1599i 0.852459 + 0.738660i 0.967005 0.254758i \(-0.0819957\pi\)
−0.114546 + 0.993418i \(0.536541\pi\)
\(272\) 21.7692 6.39202i 1.31995 0.387573i
\(273\) −1.51566 1.75248i −0.0917320 0.106065i
\(274\) 4.54993 0.654182i 0.274872 0.0395206i
\(275\) 27.5394i 1.66069i
\(276\) 16.9545 + 9.83770i 1.02054 + 0.592160i
\(277\) −2.28660 −0.137388 −0.0686941 0.997638i \(-0.521883\pi\)
−0.0686941 + 0.997638i \(0.521883\pi\)
\(278\) −3.72060 + 0.534941i −0.223147 + 0.0320836i
\(279\) 6.39027 + 2.91834i 0.382576 + 0.174716i
\(280\) −8.06332 + 55.7113i −0.481875 + 3.32939i
\(281\) 0.908278 + 0.787027i 0.0541833 + 0.0469501i 0.681532 0.731789i \(-0.261314\pi\)
−0.627348 + 0.778739i \(0.715860\pi\)
\(282\) −16.7687 4.92375i −0.998564 0.293205i
\(283\) 20.3171 13.0570i 1.20773 0.776160i 0.227452 0.973789i \(-0.426960\pi\)
0.980277 + 0.197629i \(0.0633241\pi\)
\(284\) −22.2577 48.7376i −1.32075 2.89204i
\(285\) −10.1746 + 8.81638i −0.602694 + 0.522237i
\(286\) 4.14762 + 2.66552i 0.245254 + 0.157615i
\(287\) 3.74029 5.80804i 0.220782 0.342838i
\(288\) 0.125265 0.871239i 0.00738133 0.0513383i
\(289\) 6.78882 + 4.36291i 0.399343 + 0.256642i
\(290\) −5.85955 6.76229i −0.344085 0.397095i
\(291\) 8.92121 4.07418i 0.522971 0.238833i
\(292\) −5.17185 8.04756i −0.302660 0.470948i
\(293\) 20.0886 + 5.89856i 1.17359 + 0.344597i 0.809700 0.586844i \(-0.199630\pi\)
0.363891 + 0.931442i \(0.381448\pi\)
\(294\) 0.0323335 17.2707i 0.00188573 1.00725i
\(295\) −8.42615 28.6968i −0.490589 1.67079i
\(296\) −35.5751 16.2466i −2.06776 0.944314i
\(297\) −0.324741 2.25862i −0.0188434 0.131059i
\(298\) 33.6103i 1.94699i
\(299\) −3.42640 + 2.42876i −0.198154 + 0.140459i
\(300\) 49.3291i 2.84802i
\(301\) 5.92929 20.1236i 0.341759 1.15991i
\(302\) −5.88268 + 12.8813i −0.338510 + 0.741234i
\(303\) 6.94472 2.03915i 0.398964 0.117146i
\(304\) −9.66969 + 11.1594i −0.554595 + 0.640036i
\(305\) −4.79760 1.40870i −0.274710 0.0806621i
\(306\) 10.3924 6.67878i 0.594093 0.381800i
\(307\) 5.73703 2.62001i 0.327429 0.149532i −0.244917 0.969544i \(-0.578761\pi\)
0.572346 + 0.820012i \(0.306033\pi\)
\(308\) 6.92980 + 23.6827i 0.394862 + 1.34945i
\(309\) 7.67125 11.9367i 0.436402 0.679055i
\(310\) 70.8803 + 10.1910i 4.02573 + 0.578813i
\(311\) 3.06824 + 0.441147i 0.173984 + 0.0250151i 0.228756 0.973484i \(-0.426534\pi\)
−0.0547721 + 0.998499i \(0.517443\pi\)
\(312\) 3.79397 + 2.43824i 0.214791 + 0.138038i
\(313\) −0.719029 0.829803i −0.0406419 0.0469033i 0.735065 0.677997i \(-0.237152\pi\)
−0.775707 + 0.631094i \(0.782606\pi\)
\(314\) −12.1761 26.6619i −0.687137 1.50462i
\(315\) 1.54549 + 10.8210i 0.0870783 + 0.609694i
\(316\) −11.7233 + 39.9258i −0.659485 + 2.24600i
\(317\) −7.91484 + 9.13421i −0.444542 + 0.513029i −0.933156 0.359471i \(-0.882957\pi\)
0.488614 + 0.872500i \(0.337503\pi\)
\(318\) −18.6587 + 5.47869i −1.04633 + 0.307230i
\(319\) −1.82202 0.832089i −0.102014 0.0465880i
\(320\) 4.05167 + 28.1800i 0.226495 + 1.57531i
\(321\) 2.29704 0.128209
\(322\) −31.1547 3.07246i −1.73618 0.171221i
\(323\) −16.3160 −0.907849
\(324\) −0.581681 4.04568i −0.0323156 0.224760i
\(325\) 9.61409 + 4.39061i 0.533294 + 0.243547i
\(326\) 44.0827 12.9438i 2.44151 0.716893i
\(327\) 2.02909 2.34170i 0.112209 0.129496i
\(328\) −3.78831 + 12.9018i −0.209175 + 0.712383i
\(329\) 18.5529 2.64978i 1.02285 0.146087i
\(330\) −9.66237 21.1576i −0.531896 1.16469i
\(331\) 5.28161 + 6.09531i 0.290304 + 0.335028i 0.882103 0.471057i \(-0.156128\pi\)
−0.591799 + 0.806086i \(0.701582\pi\)
\(332\) 9.90631 + 6.36640i 0.543679 + 0.349401i
\(333\) −7.51698 1.08078i −0.411928 0.0592263i
\(334\) 36.4014 + 5.23373i 1.99180 + 0.286377i
\(335\) −23.3919 + 36.3984i −1.27803 + 1.98866i
\(336\) 3.36685 + 11.5063i 0.183677 + 0.627719i
\(337\) −1.35549 + 0.619029i −0.0738380 + 0.0337207i −0.451992 0.892022i \(-0.649286\pi\)
0.378154 + 0.925743i \(0.376559\pi\)
\(338\) 25.3907 16.3176i 1.38107 0.887561i
\(339\) −13.1893 3.87273i −0.716344 0.210338i
\(340\) 55.3685 63.8987i 3.00278 3.46539i
\(341\) 15.3809 4.51624i 0.832923 0.244568i
\(342\) −3.33989 + 7.31334i −0.180601 + 0.395460i
\(343\) 7.64625 + 16.8682i 0.412859 + 0.910795i
\(344\) 40.8345i 2.20165i
\(345\) 19.7933 0.899912i 1.06564 0.0484496i
\(346\) 55.5425i 2.98598i
\(347\) 1.81319 + 12.6110i 0.0973370 + 0.676994i 0.978812 + 0.204762i \(0.0656422\pi\)
−0.881475 + 0.472231i \(0.843449\pi\)
\(348\) −3.26363 1.49045i −0.174949 0.0798966i
\(349\) −6.56811 22.3689i −0.351583 1.19738i −0.925589 0.378530i \(-0.876430\pi\)
0.574006 0.818851i \(-0.305389\pi\)
\(350\) 32.6603 + 71.6936i 1.74577 + 3.83218i
\(351\) 0.840264 + 0.246724i 0.0448500 + 0.0131691i
\(352\) −1.08587 1.68964i −0.0578768 0.0900581i
\(353\) 3.49704 1.59705i 0.186129 0.0850021i −0.320171 0.947360i \(-0.603740\pi\)
0.506300 + 0.862358i \(0.331013\pi\)
\(354\) −11.6963 13.4983i −0.621653 0.717426i
\(355\) −45.5610 29.2803i −2.41813 1.55404i
\(356\) −8.33827 + 57.9939i −0.441927 + 3.07367i
\(357\) −7.17242 + 11.1376i −0.379605 + 0.589463i
\(358\) 25.0397 + 16.0920i 1.32339 + 0.850490i
\(359\) −6.22177 + 5.39119i −0.328372 + 0.284536i −0.803406 0.595431i \(-0.796981\pi\)
0.475034 + 0.879967i \(0.342436\pi\)
\(360\) −8.83850 19.3536i −0.465830 1.02002i
\(361\) −7.05068 + 4.53120i −0.371089 + 0.238484i
\(362\) 8.66397 + 2.54397i 0.455368 + 0.133708i
\(363\) 4.37819 + 3.79372i 0.229795 + 0.199119i
\(364\) −9.37251 1.35652i −0.491253 0.0711010i
\(365\) −8.79572 4.01687i −0.460389 0.210253i
\(366\) −2.95562 + 0.424954i −0.154493 + 0.0222127i
\(367\) −24.3017 −1.26854 −0.634268 0.773113i \(-0.718699\pi\)
−0.634268 + 0.773113i \(0.718699\pi\)
\(368\) 21.3476 4.06648i 1.11282 0.211980i
\(369\) 2.61105i 0.135926i
\(370\) −76.6228 + 11.0167i −3.98343 + 0.572731i
\(371\) 15.7727 13.6413i 0.818879 0.708222i
\(372\) 27.5506 8.08957i 1.42843 0.419425i
\(373\) −16.8043 14.5610i −0.870096 0.753942i 0.100429 0.994944i \(-0.467979\pi\)
−0.970525 + 0.241002i \(0.922524\pi\)
\(374\) 7.94167 27.0468i 0.410654 1.39856i
\(375\) −15.7894 24.5687i −0.815360 1.26872i
\(376\) −33.1822 + 15.1538i −1.71124 + 0.781499i
\(377\) 0.580969 0.503412i 0.0299214 0.0259270i
\(378\) 3.52400 + 5.49476i 0.181255 + 0.282620i
\(379\) −12.3795 1.77990i −0.635891 0.0914273i −0.183172 0.983081i \(-0.558637\pi\)
−0.452719 + 0.891653i \(0.649546\pi\)
\(380\) −7.83117 + 54.4670i −0.401730 + 2.79410i
\(381\) −10.4470 + 16.2558i −0.535216 + 0.832812i
\(382\) 47.3919 41.0653i 2.42478 2.10109i
\(383\) −4.50481 9.86415i −0.230185 0.504034i 0.758931 0.651171i \(-0.225722\pi\)
−0.989116 + 0.147136i \(0.952994\pi\)
\(384\) 10.1436 + 15.7837i 0.517637 + 0.805458i
\(385\) 18.8349 + 16.3515i 0.959917 + 0.833347i
\(386\) 1.93561 2.23381i 0.0985197 0.113698i
\(387\) 2.23394 + 7.60810i 0.113558 + 0.386741i
\(388\) 16.6523 36.4635i 0.845394 1.85115i
\(389\) −2.41419 + 0.347109i −0.122404 + 0.0175991i −0.203245 0.979128i \(-0.565149\pi\)
0.0808403 + 0.996727i \(0.474240\pi\)
\(390\) 8.92666 0.452019
\(391\) 18.8430 + 14.8845i 0.952933 + 0.752741i
\(392\) −23.5559 27.2880i −1.18975 1.37825i
\(393\) 2.14155 + 14.8948i 0.108027 + 0.751345i
\(394\) 7.86968 17.2322i 0.396469 0.868145i
\(395\) 11.8500 + 40.3572i 0.596236 + 2.03059i
\(396\) −7.04854 6.10760i −0.354203 0.306918i
\(397\) −3.15613 + 10.7488i −0.158401 + 0.539466i −1.00000 0.000638181i \(-0.999797\pi\)
0.841598 + 0.540104i \(0.181615\pi\)
\(398\) −35.8335 + 23.0288i −1.79617 + 1.15433i
\(399\) 0.00807051 8.62159i 0.000404031 0.431619i
\(400\) −35.8131 41.3306i −1.79066 2.06653i
\(401\) −11.6580 + 18.1401i −0.582171 + 0.905875i −0.999996 0.00265204i \(-0.999156\pi\)
0.417826 + 0.908527i \(0.362792\pi\)
\(402\) −3.67718 + 25.5753i −0.183401 + 1.27558i
\(403\) −0.875544 + 6.08954i −0.0436140 + 0.303342i
\(404\) 15.9940 24.8871i 0.795731 1.23818i
\(405\) −2.70553 3.12235i −0.134439 0.155151i
\(406\) 5.73009 + 0.00536383i 0.284380 + 0.000266202i
\(407\) −14.5781 + 9.36876i −0.722608 + 0.464392i
\(408\) 7.26451 24.7407i 0.359647 1.22485i
\(409\) 11.0439 + 9.56956i 0.546084 + 0.473184i 0.883670 0.468110i \(-0.155065\pi\)
−0.337586 + 0.941295i \(0.609610\pi\)
\(410\) 7.49838 + 25.5371i 0.370318 + 1.26119i
\(411\) 0.773960 1.69474i 0.0381766 0.0835952i
\(412\) −8.25357 57.4049i −0.406624 2.82814i
\(413\) 17.4148 + 7.97277i 0.856925 + 0.392314i
\(414\) 10.5288 5.39917i 0.517464 0.265354i
\(415\) 11.9029 0.584291
\(416\) 0.762977 0.109700i 0.0374080 0.00537846i
\(417\) −0.632887 + 1.38583i −0.0309926 + 0.0678643i
\(418\) 5.16861 + 17.6027i 0.252805 + 0.860975i
\(419\) 0.354031 0.408573i 0.0172955 0.0199601i −0.747036 0.664784i \(-0.768524\pi\)
0.764331 + 0.644824i \(0.223069\pi\)
\(420\) 33.7374 + 29.2890i 1.64622 + 1.42916i
\(421\) −2.55694 3.97867i −0.124618 0.193909i 0.773339 0.633993i \(-0.218585\pi\)
−0.897957 + 0.440084i \(0.854949\pi\)
\(422\) 6.19573 + 13.5668i 0.301603 + 0.660419i
\(423\) −5.35334 + 4.63869i −0.260288 + 0.225541i
\(424\) −21.9447 + 34.1466i −1.06573 + 1.65831i
\(425\) 8.59993 59.8138i 0.417158 2.90140i
\(426\) −32.0134 4.60283i −1.55106 0.223008i
\(427\) 2.69536 1.72864i 0.130438 0.0836547i
\(428\) 7.09548 6.14827i 0.342973 0.297188i
\(429\) 1.81772 0.830124i 0.0877602 0.0400787i
\(430\) 43.6976 + 67.9949i 2.10729 + 3.27900i
\(431\) −0.0963122 + 0.328009i −0.00463920 + 0.0157997i −0.961780 0.273823i \(-0.911712\pi\)
0.957141 + 0.289623i \(0.0935299\pi\)
\(432\) −3.42454 2.96738i −0.164763 0.142768i
\(433\) 20.5969 6.04779i 0.989822 0.290638i 0.253549 0.967323i \(-0.418402\pi\)
0.736273 + 0.676685i \(0.236584\pi\)
\(434\) −34.6852 + 29.9981i −1.66494 + 1.43996i
\(435\) −3.58972 + 0.516124i −0.172114 + 0.0247463i
\(436\) 12.6645i 0.606519i
\(437\) −15.5539 1.51922i −0.744046 0.0726742i
\(438\) −5.77450 −0.275916
\(439\) 17.8451 2.56573i 0.851698 0.122456i 0.297379 0.954760i \(-0.403888\pi\)
0.554320 + 0.832304i \(0.312979\pi\)
\(440\) −44.1620 20.1681i −2.10534 0.961477i
\(441\) −5.88168 3.79550i −0.280080 0.180738i
\(442\) 8.17598 + 7.08453i 0.388892 + 0.336977i
\(443\) 30.1373 + 8.84910i 1.43187 + 0.420434i 0.903502 0.428585i \(-0.140988\pi\)
0.528364 + 0.849018i \(0.322806\pi\)
\(444\) −26.1125 + 16.7815i −1.23924 + 0.796414i
\(445\) 24.6023 + 53.8716i 1.16626 + 2.55376i
\(446\) 37.7104 32.6763i 1.78564 1.54727i
\(447\) 11.4601 + 7.36494i 0.542043 + 0.348350i
\(448\) −15.3284 9.87122i −0.724196 0.466371i
\(449\) 4.30126 29.9159i 0.202989 1.41182i −0.592363 0.805671i \(-0.701805\pi\)
0.795352 0.606148i \(-0.207286\pi\)
\(450\) −25.0500 16.0986i −1.18087 0.758897i
\(451\) 3.90167 + 4.50277i 0.183723 + 0.212027i
\(452\) −51.1070 + 23.3398i −2.40387 + 1.09781i
\(453\) 3.10306 + 4.82845i 0.145794 + 0.226861i
\(454\) −6.66660 1.95749i −0.312879 0.0918695i
\(455\) −8.71118 + 3.96841i −0.408387 + 0.186042i
\(456\) 4.72791 + 16.1018i 0.221404 + 0.754034i
\(457\) −32.6834 14.9260i −1.52887 0.698210i −0.539276 0.842129i \(-0.681302\pi\)
−0.989589 + 0.143919i \(0.954029\pi\)
\(458\) −9.78772 68.0751i −0.457350 3.18094i
\(459\) 5.00698i 0.233706i
\(460\) 58.7321 55.7586i 2.73840 2.59976i
\(461\) 15.8856i 0.739864i 0.929059 + 0.369932i \(0.120619\pi\)
−0.929059 + 0.369932i \(0.879381\pi\)
\(462\) 14.2879 + 4.20985i 0.664735 + 0.195860i
\(463\) 0.784513 1.71784i 0.0364594 0.0798350i −0.890526 0.454932i \(-0.849663\pi\)
0.926985 + 0.375097i \(0.122391\pi\)
\(464\) −3.81652 + 1.12063i −0.177177 + 0.0520240i
\(465\) 19.0067 21.9349i 0.881413 1.01720i
\(466\) −47.6262 13.9843i −2.20624 0.647811i
\(467\) 11.0618 7.10896i 0.511877 0.328964i −0.259074 0.965857i \(-0.583417\pi\)
0.770952 + 0.636894i \(0.219781\pi\)
\(468\) 3.25593 1.48693i 0.150505 0.0687334i
\(469\) −7.78130 26.5927i −0.359307 1.22794i
\(470\) −39.0365 + 60.7419i −1.80062 + 2.80182i
\(471\) −11.7590 1.69069i −0.541827 0.0779030i
\(472\) −36.9011 5.30558i −1.69851 0.244209i
\(473\) 15.2212 + 9.78205i 0.699870 + 0.449779i
\(474\) 16.4489 + 18.9831i 0.755524 + 0.871921i
\(475\) 16.3376 + 35.7744i 0.749622 + 1.64144i
\(476\) 7.65549 + 53.6013i 0.350889 + 2.45681i
\(477\) −2.22057 + 7.56257i −0.101673 + 0.346266i
\(478\) −3.00288 + 3.46551i −0.137348 + 0.158509i
\(479\) −0.139679 + 0.0410135i −0.00638211 + 0.00187396i −0.284922 0.958551i \(-0.591968\pi\)
0.278540 + 0.960425i \(0.410150\pi\)
\(480\) −3.30788 1.51066i −0.150983 0.0689517i
\(481\) −0.946479 6.58290i −0.0431557 0.300155i
\(482\) −58.8724 −2.68157
\(483\) −7.87446 + 9.94952i −0.358300 + 0.452719i
\(484\) 23.6783 1.07629
\(485\) −5.76649 40.1068i −0.261843 1.82116i
\(486\) −2.24428 1.02493i −0.101803 0.0464917i
\(487\) −5.44881 + 1.59991i −0.246909 + 0.0724990i −0.402845 0.915268i \(-0.631979\pi\)
0.155936 + 0.987767i \(0.450161\pi\)
\(488\) −4.08152 + 4.71032i −0.184762 + 0.213226i
\(489\) 5.24628 17.8672i 0.237245 0.807982i
\(490\) −68.4250 20.2306i −3.09113 0.913927i
\(491\) −1.46574 3.20953i −0.0661481 0.144844i 0.873670 0.486518i \(-0.161733\pi\)
−0.939818 + 0.341674i \(0.889006\pi\)
\(492\) 6.98874 + 8.06544i 0.315077 + 0.363618i
\(493\) −3.69746 2.37622i −0.166525 0.107019i
\(494\) −6.96917 1.00202i −0.313558 0.0450828i
\(495\) −9.33139 1.34165i −0.419415 0.0603028i
\(496\) 17.2103 26.7797i 0.772764 1.20244i
\(497\) 33.2869 9.74008i 1.49312 0.436902i
\(498\) 6.46588 2.95287i 0.289743 0.132321i
\(499\) 3.83914 2.46727i 0.171864 0.110450i −0.451881 0.892078i \(-0.649247\pi\)
0.623745 + 0.781628i \(0.285611\pi\)
\(500\) −114.534 33.6301i −5.12210 1.50398i
\(501\) 9.76109 11.2649i 0.436093 0.503279i
\(502\) −65.0902 + 19.1122i −2.90512 + 0.853019i
\(503\) 0.0346005 0.0757646i 0.00154276 0.00337818i −0.908859 0.417103i \(-0.863045\pi\)
0.910402 + 0.413725i \(0.135773\pi\)
\(504\) 13.0697 + 3.85089i 0.582169 + 0.171532i
\(505\) 29.9031i 1.33067i
\(506\) 10.0891 25.0441i 0.448516 1.11334i
\(507\) 12.2331i 0.543290i
\(508\) 11.2400 + 78.1761i 0.498696 + 3.46850i
\(509\) 6.43009 + 2.93652i 0.285009 + 0.130159i 0.552790 0.833321i \(-0.313563\pi\)
−0.267781 + 0.963480i \(0.586290\pi\)
\(510\) −14.3790 48.9703i −0.636712 2.16844i
\(511\) 5.63511 2.56710i 0.249283 0.113562i
\(512\) 40.9537 + 12.0251i 1.80992 + 0.531439i
\(513\) 1.76176 + 2.74136i 0.0777837 + 0.121034i
\(514\) 2.54256 1.16115i 0.112148 0.0512160i
\(515\) −38.3892 44.3035i −1.69163 1.95225i
\(516\) 27.2644 + 17.5218i 1.20025 + 0.771353i
\(517\) −2.30030 + 15.9989i −0.101167 + 0.703631i
\(518\) 26.8403 41.6786i 1.17930 1.83125i
\(519\) 18.9383 + 12.1709i 0.831299 + 0.534243i
\(520\) 14.0815 12.2017i 0.617514 0.535079i
\(521\) 14.2429 + 31.1876i 0.623992 + 1.36635i 0.912580 + 0.408898i \(0.134087\pi\)
−0.288588 + 0.957453i \(0.593186\pi\)
\(522\) −1.82196 + 1.17090i −0.0797451 + 0.0512491i
\(523\) −34.1250 10.0200i −1.49218 0.438144i −0.568945 0.822376i \(-0.692648\pi\)
−0.923237 + 0.384232i \(0.874466\pi\)
\(524\) 46.4827 + 40.2775i 2.03061 + 1.75953i
\(525\) 31.6021 + 4.57389i 1.37923 + 0.199621i
\(526\) 29.1960 + 13.3333i 1.27300 + 0.581362i
\(527\) 34.8166 5.00588i 1.51664 0.218059i
\(528\) −10.3398 −0.449981
\(529\) 16.5770 + 15.9438i 0.720738 + 0.693207i
\(530\) 80.3420i 3.48983i
\(531\) −7.16549 + 1.03024i −0.310956 + 0.0447087i
\(532\) −23.0516 26.6534i −0.999415 1.15557i
\(533\) −2.19397 + 0.644208i −0.0950315 + 0.0279038i
\(534\) 26.7289 + 23.1607i 1.15667 + 1.00226i
\(535\) 2.67368 9.10572i 0.115593 0.393675i
\(536\) 29.1578 + 45.3704i 1.25943 + 1.95970i
\(537\) 10.9738 5.01155i 0.473553 0.216264i
\(538\) 10.6618 9.23851i 0.459663 0.398301i
\(539\) −15.8146 + 2.24358i −0.681182 + 0.0966379i
\(540\) −16.7145 2.40319i −0.719280 0.103417i
\(541\) −2.52033 + 17.5293i −0.108358 + 0.753643i 0.861109 + 0.508420i \(0.169770\pi\)
−0.969467 + 0.245223i \(0.921139\pi\)
\(542\) 24.7686 38.5407i 1.06390 1.65546i
\(543\) 2.76593 2.39669i 0.118697 0.102852i
\(544\) −1.83079 4.00888i −0.0784946 0.171879i
\(545\) −6.92093 10.7692i −0.296460 0.461301i
\(546\) −3.74759 + 4.31678i −0.160382 + 0.184741i
\(547\) 20.3136 23.4431i 0.868546 1.00236i −0.131393 0.991330i \(-0.541945\pi\)
0.999939 0.0110253i \(-0.00350955\pi\)
\(548\) −2.14540 7.30656i −0.0916469 0.312121i
\(549\) −0.502761 + 1.10089i −0.0214573 + 0.0469850i
\(550\) −67.2549 + 9.66979i −2.86776 + 0.412321i
\(551\) 2.86048 0.121861
\(552\) 9.22886 22.9087i 0.392806 0.975057i
\(553\) −24.4909 11.2124i −1.04146 0.476798i
\(554\) 0.802881 + 5.58416i 0.0341112 + 0.237248i
\(555\) −13.0338 + 28.5401i −0.553255 + 1.21146i
\(556\) 1.75435 + 5.97476i 0.0744009 + 0.253386i
\(557\) 8.26885 + 7.16500i 0.350362 + 0.303591i 0.812206 0.583371i \(-0.198266\pi\)
−0.461844 + 0.886961i \(0.652812\pi\)
\(558\) 4.88318 16.6306i 0.206721 0.704029i
\(559\) −5.84165 + 3.75420i −0.247075 + 0.158786i
\(560\) 49.5310 + 0.0463650i 2.09307 + 0.00195928i
\(561\) −7.48190 8.63457i −0.315886 0.364552i
\(562\) 1.60310 2.49448i 0.0676228 0.105223i
\(563\) 2.67917 18.6340i 0.112914 0.785331i −0.852147 0.523303i \(-0.824700\pi\)
0.965060 0.262028i \(-0.0843914\pi\)
\(564\) −4.12033 + 28.6575i −0.173497 + 1.20670i
\(565\) −30.7038 + 47.7760i −1.29172 + 2.00995i
\(566\) −39.0208 45.0324i −1.64017 1.89285i
\(567\) 2.64575 + 0.00247664i 0.111111 + 0.000104009i
\(568\) −56.7915 + 36.4977i −2.38292 + 1.53141i
\(569\) 7.87243 26.8110i 0.330030 1.12398i −0.612671 0.790338i \(-0.709905\pi\)
0.942701 0.333640i \(-0.108277\pi\)
\(570\) 25.1033 + 21.7522i 1.05146 + 0.911097i
\(571\) 4.01578 + 13.6765i 0.168055 + 0.572344i 0.999851 + 0.0172620i \(0.00549493\pi\)
−0.831796 + 0.555082i \(0.812687\pi\)
\(572\) 3.39295 7.42953i 0.141866 0.310644i
\(573\) −3.61714 25.1577i −0.151108 1.05098i
\(574\) −15.4973 7.09492i −0.646845 0.296136i
\(575\) 13.7676 56.2193i 0.574150 2.34451i
\(576\) 6.89098 0.287124
\(577\) 13.4582 1.93499i 0.560270 0.0805547i 0.143639 0.989630i \(-0.454120\pi\)
0.416631 + 0.909075i \(0.363211\pi\)
\(578\) 8.27107 18.1111i 0.344031 0.753323i
\(579\) −0.337515 1.14947i −0.0140266 0.0477704i
\(580\) −9.70706 + 11.2025i −0.403064 + 0.465160i
\(581\) −4.99709 + 5.75605i −0.207314 + 0.238801i
\(582\) −13.0821 20.3562i −0.542272 0.843792i
\(583\) 7.47131 + 16.3599i 0.309430 + 0.677557i
\(584\) −9.10906 + 7.89305i −0.376936 + 0.326617i
\(585\) 1.95608 3.04371i 0.0808738 0.125842i
\(586\) 7.35141 51.1302i 0.303684 2.11217i
\(587\) 26.3162 + 3.78369i 1.08618 + 0.156170i 0.662072 0.749440i \(-0.269677\pi\)
0.424112 + 0.905610i \(0.360586\pi\)
\(588\) −28.3273 + 4.01874i −1.16820 + 0.165730i
\(589\) −17.3010 + 14.9914i −0.712874 + 0.617709i
\(590\) −67.1227 + 30.6539i −2.76340 + 1.26200i
\(591\) −4.15118 6.45937i −0.170757 0.265703i
\(592\) −9.69502 + 33.0182i −0.398463 + 1.35704i
\(593\) −18.9458 16.4167i −0.778012 0.674151i 0.172441 0.985020i \(-0.444835\pi\)
−0.950453 + 0.310869i \(0.899380\pi\)
\(594\) −5.40182 + 1.58612i −0.221639 + 0.0650792i
\(595\) 35.8020 + 41.3960i 1.46774 + 1.69707i
\(596\) 55.1128 7.92402i 2.25751 0.324580i
\(597\) 17.2644i 0.706584i
\(598\) 7.13444 + 7.51491i 0.291749 + 0.307307i
\(599\) −24.3128 −0.993393 −0.496696 0.867924i \(-0.665454\pi\)
−0.496696 + 0.867924i \(0.665454\pi\)
\(600\) −61.5203 + 8.84529i −2.51156 + 0.361107i
\(601\) −9.32872 4.26028i −0.380526 0.173781i 0.215963 0.976402i \(-0.430711\pi\)
−0.596489 + 0.802621i \(0.703438\pi\)
\(602\) −51.2264 7.41419i −2.08783 0.302180i
\(603\) 7.91463 + 6.85807i 0.322309 + 0.279282i
\(604\) 22.5091 + 6.60926i 0.915882 + 0.268927i
\(605\) 20.1348 12.9398i 0.818594 0.526079i
\(606\) −7.41835 16.2439i −0.301350 0.659864i
\(607\) 4.41380 3.82458i 0.179151 0.155235i −0.560669 0.828040i \(-0.689456\pi\)
0.739820 + 0.672805i \(0.234911\pi\)
\(608\) 2.41294 + 1.55070i 0.0978575 + 0.0628892i
\(609\) 1.25745 1.95261i 0.0509544 0.0791237i
\(610\) −1.75568 + 12.2110i −0.0710853 + 0.494409i
\(611\) −5.21852 3.35374i −0.211119 0.135678i
\(612\) −13.4017 15.4664i −0.541732 0.625192i
\(613\) 19.9357 9.10435i 0.805197 0.367721i 0.0300868 0.999547i \(-0.490422\pi\)
0.775110 + 0.631826i \(0.217694\pi\)
\(614\) −8.41282 13.0906i −0.339514 0.528294i
\(615\) 10.3505 + 3.03917i 0.417371 + 0.122551i
\(616\) 28.2931 12.8890i 1.13996 0.519313i
\(617\) 2.83028 + 9.63905i 0.113943 + 0.388054i 0.996642 0.0818852i \(-0.0260941\pi\)
−0.882699 + 0.469939i \(0.844276\pi\)
\(618\) −31.8445 14.5429i −1.28097 0.585001i
\(619\) 0.252742 + 1.75786i 0.0101586 + 0.0706544i 0.994270 0.106897i \(-0.0340915\pi\)
−0.984112 + 0.177551i \(0.943182\pi\)
\(620\) 118.629i 4.76426i
\(621\) 0.466211 4.77312i 0.0187084 0.191539i
\(622\) 7.64794i 0.306655i
\(623\) −36.3800 10.7191i −1.45753 0.429452i
\(624\) 1.64847 3.60965i 0.0659916 0.144501i
\(625\) −57.8711 + 16.9925i −2.31484 + 0.679699i
\(626\) −1.77402 + 2.04733i −0.0709040 + 0.0818276i
\(627\) 7.13456 + 2.09489i 0.284927 + 0.0836620i
\(628\) −40.8485 + 26.2517i −1.63003 + 1.04756i
\(629\) −34.5882 + 15.7959i −1.37912 + 0.629825i
\(630\) 25.8836 7.57380i 1.03123 0.301747i
\(631\) 0.469347 0.730318i 0.0186844 0.0290735i −0.831786 0.555097i \(-0.812681\pi\)
0.850470 + 0.526023i \(0.176318\pi\)
\(632\) 51.8952 + 7.46140i 2.06428 + 0.296798i
\(633\) 5.98350 + 0.860297i 0.237823 + 0.0341938i
\(634\) 25.0860 + 16.1218i 0.996293 + 0.640279i
\(635\) 52.2799 + 60.3342i 2.07466 + 2.39429i
\(636\) 13.3827 + 29.3041i 0.530660 + 1.16198i
\(637\) 1.73808 5.87860i 0.0688650 0.232919i
\(638\) −1.39231 + 4.74178i −0.0551221 + 0.187729i
\(639\) −8.58445 + 9.90698i −0.339595 + 0.391914i
\(640\) 74.3749 21.8385i 2.93993 0.863241i
\(641\) 20.4674 + 9.34715i 0.808414 + 0.369190i 0.776355 0.630296i \(-0.217066\pi\)
0.0320589 + 0.999486i \(0.489794\pi\)
\(642\) −0.806550 5.60968i −0.0318320 0.221396i
\(643\) 22.9633 0.905585 0.452792 0.891616i \(-0.350428\pi\)
0.452792 + 0.891616i \(0.350428\pi\)
\(644\) 2.30699 + 51.8105i 0.0909081 + 2.04162i
\(645\) 32.7595 1.28990
\(646\) 5.72897 + 39.8459i 0.225403 + 1.56771i
\(647\) −26.0075 11.8772i −1.02246 0.466942i −0.167630 0.985850i \(-0.553611\pi\)
−0.854830 + 0.518908i \(0.826339\pi\)
\(648\) −4.94123 + 1.45088i −0.194110 + 0.0569958i
\(649\) −10.8174 + 12.4840i −0.424622 + 0.490040i
\(650\) 7.34668 25.0205i 0.288161 0.981385i
\(651\) 2.62794 + 18.4000i 0.102997 + 0.721153i
\(652\) −31.6178 69.2333i −1.23825 2.71138i
\(653\) 6.67639 + 7.70496i 0.261267 + 0.301518i 0.871194 0.490940i \(-0.163346\pi\)
−0.609926 + 0.792458i \(0.708801\pi\)
\(654\) −6.43119 4.13308i −0.251480 0.161616i
\(655\) 61.5373 + 8.84773i 2.40446 + 0.345710i
\(656\) 11.7111 + 1.68380i 0.457241 + 0.0657413i
\(657\) −1.26535 + 1.96893i −0.0493661 + 0.0768151i
\(658\) −12.9855 44.3781i −0.506226 1.73004i
\(659\) 26.2323 11.9799i 1.02187 0.466671i 0.167241 0.985916i \(-0.446514\pi\)
0.854625 + 0.519245i \(0.173787\pi\)
\(660\) −32.4154 + 20.8321i −1.26177 + 0.810889i
\(661\) −46.9303 13.7800i −1.82538 0.535979i −0.825771 0.564005i \(-0.809260\pi\)
−0.999607 + 0.0280256i \(0.991078\pi\)
\(662\) 13.0310 15.0386i 0.506465 0.584492i
\(663\) 4.20719 1.23534i 0.163394 0.0479767i
\(664\) 6.16347 13.4961i 0.239189 0.523751i
\(665\) −34.1675 10.0672i −1.32496 0.390390i
\(666\) 18.7369i 0.726041i
\(667\) −3.30351 2.60951i −0.127912 0.101040i
\(668\) 60.9234i 2.35720i
\(669\) −2.87821 20.0184i −0.111278 0.773955i
\(670\) 97.1032 + 44.3455i 3.75142 + 1.71322i
\(671\) 0.778042 + 2.64977i 0.0300360 + 0.102293i
\(672\) 2.11924 0.965429i 0.0817516 0.0372422i
\(673\) −12.3722 3.63280i −0.476913 0.140034i 0.0344371 0.999407i \(-0.489036\pi\)
−0.511350 + 0.859373i \(0.670854\pi\)
\(674\) 1.98769 + 3.09291i 0.0765631 + 0.119135i
\(675\) −10.9783 + 5.01361i −0.422554 + 0.192974i
\(676\) −32.7431 37.7875i −1.25935 1.45337i
\(677\) −0.877840 0.564154i −0.0337381 0.0216822i 0.523663 0.851925i \(-0.324565\pi\)
−0.557401 + 0.830243i \(0.688201\pi\)
\(678\) −4.82660 + 33.5698i −0.185365 + 1.28924i
\(679\) 21.8159 + 14.0491i 0.837216 + 0.539154i
\(680\) −89.6189 57.5945i −3.43673 2.20865i
\(681\) −2.12828 + 1.84416i −0.0815558 + 0.0706685i
\(682\) −16.4299 35.9764i −0.629133 1.37761i
\(683\) 18.9277 12.1641i 0.724250 0.465447i −0.125863 0.992048i \(-0.540170\pi\)
0.850113 + 0.526601i \(0.176534\pi\)
\(684\) 12.7795 + 3.75241i 0.488638 + 0.143477i
\(685\) −5.81725 5.04067i −0.222266 0.192594i
\(686\) 38.5094 24.5960i 1.47030 0.939079i
\(687\) −25.3563 11.5798i −0.967402 0.441798i
\(688\) 35.5645 5.11340i 1.35588 0.194946i
\(689\) −6.90243 −0.262961
\(690\) −9.14763 48.0218i −0.348244 1.82816i
\(691\) 0.113660i 0.00432384i 0.999998 + 0.00216192i \(0.000688161\pi\)
−0.999998 + 0.00216192i \(0.999312\pi\)
\(692\) 91.0763 13.0948i 3.46220 0.497790i
\(693\) 4.56631 3.94925i 0.173460 0.150020i
\(694\) 30.1610 8.85607i 1.14490 0.336172i
\(695\) 4.75691 + 4.12188i 0.180440 + 0.156352i
\(696\) −1.27359 + 4.33746i −0.0482755 + 0.164411i
\(697\) 7.06806 + 10.9981i 0.267722 + 0.416584i
\(698\) −52.3216 + 23.8945i −1.98040 + 0.904419i
\(699\) −15.2044 + 13.1747i −0.575085 + 0.498314i
\(700\) 109.860 70.4576i 4.15232 2.66305i
\(701\) −42.9652 6.17747i −1.62277 0.233320i −0.729876 0.683579i \(-0.760422\pi\)
−0.892898 + 0.450259i \(0.851331\pi\)
\(702\) 0.307493 2.13866i 0.0116056 0.0807187i
\(703\) 13.3793 20.8186i 0.504610 0.785189i
\(704\) 11.8835 10.2971i 0.447877 0.388088i
\(705\) 12.1572 + 26.6205i 0.457865 + 1.00258i
\(706\) −5.12809 7.97946i −0.192998 0.300311i
\(707\) 14.4606 + 12.5539i 0.543848 + 0.472139i
\(708\) −19.3764 + 22.3615i −0.728209 + 0.840398i
\(709\) 3.33206 + 11.3480i 0.125138 + 0.426182i 0.998101 0.0616060i \(-0.0196222\pi\)
−0.872962 + 0.487788i \(0.837804\pi\)
\(710\) −55.5086 + 121.547i −2.08320 + 4.56157i
\(711\) 10.0771 1.44886i 0.377919 0.0543366i
\(712\) 73.8217 2.76659
\(713\) 33.6565 1.53021i 1.26045 0.0573068i
\(714\) 29.7178 + 13.6053i 1.11216 + 0.509166i
\(715\) −1.17493 8.17185i −0.0439401 0.305610i
\(716\) 20.4836 44.8529i 0.765509 1.67623i
\(717\) 0.523617 + 1.78328i 0.0195548 + 0.0665977i
\(718\) 15.3506 + 13.3014i 0.572880 + 0.496403i
\(719\) −8.09723 + 27.5766i −0.301976 + 1.02844i 0.659078 + 0.752075i \(0.270947\pi\)
−0.961054 + 0.276361i \(0.910872\pi\)
\(720\) −15.7491 + 10.1213i −0.586933 + 0.377199i
\(721\) 37.5410 + 0.0351414i 1.39810 + 0.00130874i
\(722\) 13.5414 + 15.6277i 0.503960 + 0.581601i
\(723\) −12.9006 + 20.0737i −0.479778 + 0.746548i
\(724\) 2.12887 14.8066i 0.0791187 0.550283i
\(725\) −1.50772 + 10.4864i −0.0559951 + 0.389455i
\(726\) 7.72747 12.0242i 0.286793 0.446259i
\(727\) 14.1232 + 16.2990i 0.523801 + 0.604498i 0.954578 0.297960i \(-0.0963062\pi\)
−0.430778 + 0.902458i \(0.641761\pi\)
\(728\) −0.0111694 + 11.9321i −0.000413965 + 0.442232i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −6.72132 + 22.8907i −0.248767 + 0.847223i
\(731\) 30.0046 + 25.9992i 1.10976 + 0.961614i
\(732\) 1.39364 + 4.74631i 0.0515105 + 0.175429i
\(733\) 4.79060 10.4900i 0.176945 0.387456i −0.800291 0.599612i \(-0.795321\pi\)
0.977236 + 0.212157i \(0.0680487\pi\)
\(734\) 8.53293 + 59.3478i 0.314956 + 2.19057i
\(735\) −21.8918 + 18.8977i −0.807492 + 0.697054i
\(736\) −1.37200 3.99210i −0.0505727 0.147151i
\(737\) 23.8968 0.880249
\(738\) 6.37652 0.916806i 0.234723 0.0337481i
\(739\) 10.2564 22.4583i 0.377287 0.826143i −0.621790 0.783184i \(-0.713594\pi\)
0.999077 0.0429588i \(-0.0136784\pi\)
\(740\) 36.1295 + 123.046i 1.32815 + 4.52325i
\(741\) −1.86879 + 2.15670i −0.0686519 + 0.0792285i
\(742\) −38.8520 33.7292i −1.42630 1.23824i
\(743\) −8.51384 13.2478i −0.312342 0.486014i 0.649220 0.760601i \(-0.275095\pi\)
−0.961562 + 0.274586i \(0.911459\pi\)
\(744\) −15.0290 32.9089i −0.550989 1.20650i
\(745\) 42.5345 36.8564i 1.55834 1.35031i
\(746\) −29.6595 + 46.1511i −1.08591 + 1.68971i
\(747\) 0.410015 2.85172i 0.0150017 0.104339i
\(748\) −46.2226 6.64581i −1.69007 0.242995i
\(749\) 3.28091 + 5.11571i 0.119882 + 0.186924i
\(750\) −54.4560 + 47.1864i −1.98845 + 1.72300i
\(751\) 30.4131 13.8892i 1.10979 0.506823i 0.225725 0.974191i \(-0.427525\pi\)
0.884063 + 0.467367i \(0.154797\pi\)
\(752\) 17.3532 + 27.0022i 0.632807 + 0.984668i
\(753\) −7.74638 + 26.3818i −0.282294 + 0.961405i
\(754\) −1.43339 1.24204i −0.0522010 0.0452324i
\(755\) 22.7523 6.68069i 0.828042 0.243135i
\(756\) 8.17925 7.07397i 0.297477 0.257278i
\(757\) −16.8382 + 2.42096i −0.611993 + 0.0879914i −0.441340 0.897340i \(-0.645497\pi\)
−0.170653 + 0.985331i \(0.554588\pi\)
\(758\) 30.8573i 1.12079i
\(759\) −6.32845 8.92792i −0.229708 0.324063i
\(760\) 69.3322 2.51494
\(761\) −27.9574 + 4.01967i −1.01345 + 0.145713i −0.628979 0.777422i \(-0.716527\pi\)
−0.384476 + 0.923135i \(0.625618\pi\)
\(762\) 43.3671 + 19.8051i 1.57102 + 0.717462i
\(763\) 8.11335 + 1.17428i 0.293723 + 0.0425116i
\(764\) −78.5104 68.0297i −2.84041 2.46123i
\(765\) −19.8482 5.82796i −0.717613 0.210710i
\(766\) −22.5078 + 14.4649i −0.813239 + 0.522637i
\(767\) −2.63357 5.76672i −0.0950928 0.208224i
\(768\) 24.5685 21.2887i 0.886538 0.768189i
\(769\) 17.0143 + 10.9344i 0.613551 + 0.394305i 0.810187 0.586171i \(-0.199365\pi\)
−0.196636 + 0.980477i \(0.563002\pi\)
\(770\) 33.3189 51.7387i 1.20073 1.86453i
\(771\) 0.161229 1.12137i 0.00580653 0.0403853i
\(772\) −4.11925 2.64728i −0.148255 0.0952776i
\(773\) −10.4588 12.0701i −0.376178 0.434133i 0.535817 0.844334i \(-0.320004\pi\)
−0.911995 +