Properties

Label 483.2.r.a.181.4
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 181.4
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.351125 - 2.44213i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-3.92172 + 1.15152i) q^{4} +(2.70553 - 3.12235i) q^{5} +(0.695102 - 2.36730i) q^{6} +(-2.22709 - 1.42832i) q^{7} +(2.13932 + 4.68445i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(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} +(-2.22709 - 1.42832i) 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} +(-2.70615 + 5.94035i) 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} +(-1.43248 - 2.22441i) 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} +(10.3787 + 3.03692i) 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} +(-10.4851 + 3.08938i) 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} +(-4.92931 + 4.27936i) 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} +(2.91982 + 6.36197i) 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} +(1.92644 - 13.4883i) 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} +(-0.378981 - 2.61847i) 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} +(-4.56631 - 3.94925i) 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} +(8.17925 + 7.07397i) 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} +(14.5115 - 9.36443i) 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 \(-0.397776\pi\)
0.894293 0.447481i \(-0.147679\pi\)
\(6\) 0.695102 2.36730i 0.283774 0.966447i
\(7\) −2.22709 1.42832i −0.841759 0.539853i
\(8\) 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 −0.769370 0.638804i \(-0.779430\pi\)
0.900684 + 0.434475i \(0.143066\pi\)
\(14\) −2.70615 + 5.94035i −0.723249 + 1.58763i
\(15\) 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 −0.358737 0.933439i \(-0.616793\pi\)
−0.806444 + 0.591310i \(0.798611\pi\)
\(18\) 1.61570 1.86462i 0.380824 0.439494i
\(19\) 3.12666 0.918069i 0.717304 0.210620i 0.0973419 0.995251i \(-0.468966\pi\)
0.619963 + 0.784631i \(0.287148\pi\)
\(20\) −7.01488 + 15.3604i −1.56857 + 3.43470i
\(21\) −1.43248 2.22441i −0.312594 0.485406i
\(22\) 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
\(28\) 10.3787 + 3.03692i 1.96140 + 0.573925i
\(29\) −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 −0.896178 0.443695i \(-0.853667\pi\)
−0.251549 + 0.967844i \(0.580940\pi\)
\(32\) −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
\(35\) −10.4851 + 3.08938i −1.77231 + 0.522200i
\(36\) −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 0.487016 0.873393i \(-0.338085\pi\)
−0.795194 + 0.606356i \(0.792631\pi\)
\(42\) −4.92931 + 4.27936i −0.760609 + 0.660319i
\(43\) 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 \(-0.827191\pi\)
0.856217 0.516616i \(-0.172809\pi\)
\(48\) 4.48520 0.644874i 0.647383 0.0930796i
\(49\) 2.91982 + 6.36197i 0.417117 + 0.908853i
\(50\) −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
\(56\) 1.92644 13.4883i 0.257431 1.80245i
\(57\) 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 −0.487228 0.873275i \(-0.661992\pi\)
0.996761 + 0.0804267i \(0.0256283\pi\)
\(60\) −12.7619 + 11.0583i −1.64756 + 1.42762i
\(61\) −0.502761 1.10089i −0.0643720 0.140955i 0.874712 0.484644i \(-0.161051\pi\)
−0.939084 + 0.343689i \(0.888323\pi\)
\(62\) 9.37075 + 14.5812i 1.19009 + 1.85181i
\(63\) −0.378981 2.61847i −0.0477471 0.329896i
\(64\) 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 0.911863 0.410495i \(-0.134644\pi\)
−0.989038 + 0.147660i \(0.952826\pi\)
\(74\) 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
\(77\) −4.56631 3.94925i −0.520379 0.450059i
\(78\) −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 0.849788 0.527125i \(-0.176730\pi\)
−0.642697 + 0.766120i \(0.722185\pi\)
\(84\) 8.17925 + 7.07397i 0.892430 + 0.771833i
\(85\) −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 \(0.411038\pi\)
−0.907074 + 0.420972i \(0.861689\pi\)
\(90\) −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 −0.329357 0.944206i \(-0.606832\pi\)
0.981467 + 0.191630i \(0.0613774\pi\)
\(98\) 14.5115 9.36443i 1.46589 0.945950i
\(99\) 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 −0.338784 0.940864i \(-0.610016\pi\)
0.883074 + 0.469234i \(0.155470\pi\)
\(102\) −6.67878 + 10.3924i −0.661297 + 1.02900i
\(103\) 2.01933 14.0447i 0.198970 1.38387i −0.608309 0.793700i \(-0.708152\pi\)
0.807279 0.590170i \(-0.200939\pi\)
\(104\) 4.46400 + 0.641826i 0.437731 + 0.0629362i
\(105\) −10.8210 1.54549i −1.05602 0.150824i
\(106\) 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
\(112\) −11.9887 + 0.0112224i −1.13283 + 0.00106042i
\(113\) 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
\(119\) 8.68446 + 10.0035i 0.796103 + 0.917016i
\(120\) 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
\(126\) −6.26157 + 1.84493i −0.557825 + 0.164359i
\(127\) 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 \(0.0465151\pi\)
−0.278534 + 0.960426i \(0.589849\pi\)
\(132\) −8.94877 2.62760i −0.778890 0.228703i
\(133\) −8.27463 2.42124i −0.717501 0.209948i
\(134\) −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 \(0.0205807\pi\)
−0.997911 + 0.0646110i \(0.979419\pi\)
\(140\) 37.5623 24.1895i 3.17459 2.04439i
\(141\) 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
\(147\) 0.0131051 + 6.99999i 0.00108089 + 0.577349i
\(148\) 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
\(154\) −8.04124 + 12.5382i −0.647982 + 1.01036i
\(155\) −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 −0.702922 0.711267i \(-0.748122\pi\)
−0.206795 + 0.978384i \(0.566303\pi\)
\(158\) −22.8483 10.4345i −1.81771 0.830122i
\(159\) 1.12170 + 7.80162i 0.0889569 + 0.618708i
\(160\) −3.63650 −0.287491
\(161\) −7.34738 10.3449i −0.579055 0.815289i
\(162\) 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 \(-0.713425\pi\)
0.946333 0.323194i \(-0.104757\pi\)
\(168\) 7.35560 11.4691i 0.567497 0.884862i
\(169\) 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 0.920693 0.390288i \(-0.127625\pi\)
0.773441 + 0.633868i \(0.218534\pi\)
\(174\) −1.17090 + 1.82196i −0.0887660 + 0.138123i
\(175\) −13.2376 + 29.0582i −1.00067 + 2.19659i
\(176\) 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 −0.844675 0.535280i \(-0.820206\pi\)
0.957682 + 0.287829i \(0.0929334\pi\)
\(182\) 3.09511 + 4.80618i 0.229425 + 0.356258i
\(183\) 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
\(189\) 0.743018 2.53928i 0.0540466 0.184705i
\(190\) −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
\(196\) −18.7767 21.5876i −1.34119 1.54197i
\(197\) 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 \(0.0732388\pi\)
−0.465246 + 0.885182i \(0.654034\pi\)
\(200\) 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
\(203\) 1.52254 + 1.75378i 0.106861 + 0.123091i
\(204\) 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
\(210\) 0.0252451 + 26.9689i 0.00174208 + 1.86103i
\(211\) −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
\(217\) 18.4000 + 2.62794i 1.24907 + 0.178396i
\(218\) 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 \(-0.945030\pi\)
0.252928 0.967485i \(-0.418606\pi\)
\(224\) 0.333578 + 2.30477i 0.0222881 + 0.153994i
\(225\) 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 −0.944474 0.328586i \(-0.893428\pi\)
0.866828 + 0.498608i \(0.166155\pi\)
\(228\) −13.1835 + 1.89550i −0.873097 + 0.125532i
\(229\) −27.8753 −1.84205 −0.921026 0.389501i \(-0.872647\pi\)
−0.921026 + 0.389501i \(0.872647\pi\)
\(230\) −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
\(238\) 21.3804 24.7210i 1.38589 1.60243i
\(239\) −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 \(0.324467\pi\)
−0.742673 + 0.669654i \(0.766442\pi\)
\(242\) −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
\(245\) 27.7639 + 8.09579i 1.77377 + 0.517221i
\(246\) −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 \(0.288981\pi\)
−0.368447 + 0.929649i \(0.620110\pi\)
\(252\) 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 0.948939 0.315460i \(-0.102159\pi\)
−0.968849 + 0.247654i \(0.920341\pi\)
\(258\) 12.8114 14.7851i 0.797600 0.920480i
\(259\) 19.8854 2.87809i 1.23562 0.178836i
\(260\) 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
\(266\) −3.00755 + 21.0579i −0.184405 + 1.29114i
\(267\) −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 0.734132 0.679007i \(-0.237589\pi\)
−0.922616 + 0.385720i \(0.873953\pi\)
\(270\) 2.87178 9.78040i 0.174771 0.595216i
\(271\) −14.0333 12.1599i −0.852459 0.738660i 0.114546 0.993418i \(-0.463459\pi\)
−0.967005 + 0.254758i \(0.918004\pi\)
\(272\) −21.7692 + 6.39202i −1.31995 + 0.387573i
\(273\) −2.31698 + 0.00216888i −0.140230 + 0.000131267i
\(274\) 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
\(280\) −36.9031 42.5080i −2.20538 2.54034i
\(281\) 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 −0.980277 0.197629i \(-0.936676\pi\)
−0.227452 + 0.973789i \(0.573040\pi\)
\(284\) −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
\(287\) 1.95247 + 6.62654i 0.115250 + 0.391152i
\(288\) 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 −0.363891 0.931442i \(-0.618552\pi\)
−0.809700 + 0.586844i \(0.800370\pi\)
\(294\) 17.0903 2.48988i 0.996725 0.145213i
\(295\) −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
\(301\) −11.3586 17.6380i −0.654698 1.01664i
\(302\) −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 −0.572346 0.820012i \(-0.693967\pi\)
0.244917 + 0.969544i \(0.421239\pi\)
\(308\) 22.4554 + 10.2297i 1.27952 + 0.582889i
\(309\) 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 0.0547721 0.998499i \(-0.482557\pi\)
−0.228756 + 0.973484i \(0.573466\pi\)
\(312\) 3.79397 + 2.43824i 0.214791 + 0.138038i
\(313\) 0.719029 + 0.829803i 0.0406419 + 0.0469033i 0.775707 0.631094i \(-0.217394\pi\)
−0.735065 + 0.677997i \(0.762848\pi\)
\(314\) 12.1761 + 26.6619i 0.687137 + 1.50462i
\(315\) −9.20110 5.90103i −0.518423 0.332485i
\(316\) −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
\(322\) −22.6836 + 21.5756i −1.26411 + 1.20236i
\(323\) −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
\(329\) −10.1175 + 15.7755i −0.557794 + 0.869733i
\(330\) −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
\(336\) −10.9100 4.97010i −0.595190 0.271141i
\(337\) −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
\(343\) 2.58422 18.3391i 0.139535 0.990217i
\(344\) 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 \(0.123570\pi\)
−0.574006 + 0.818851i \(0.694611\pi\)
\(350\) 75.6119 + 22.1248i 4.04163 + 1.18262i
\(351\) 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 −0.506300 0.862358i \(-0.668987\pi\)
0.320171 + 0.947360i \(0.396260\pi\)
\(354\) −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
\(357\) 3.74407 + 12.7071i 0.198157 + 0.672533i
\(358\) 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
\(364\) 7.15127 6.20834i 0.374828 0.325405i
\(365\) −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 \(-0.281301\pi\)
0.634268 + 0.773113i \(0.281301\pi\)
\(368\) 21.3476 4.06648i 1.11282 0.211980i
\(369\) 2.61105i 0.135926i
\(370\) 76.6228 11.0167i 3.98343 0.572731i
\(371\) −0.0195205 20.8534i −0.00101345 1.08265i
\(372\) 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
\(378\) −6.46213 0.922941i −0.332376 0.0474710i
\(379\) −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 0.989116 0.147136i \(-0.0470055\pi\)
−0.758931 + 0.651171i \(0.774278\pi\)
\(384\) −10.1436 15.7837i −0.517637 0.805458i
\(385\) −24.6852 + 3.57279i −1.25807 + 0.182086i
\(386\) 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 −0.841598 0.540104i \(-0.818385\pi\)
1.00000 0.000638181i \(0.000203139\pi\)
\(398\) 35.8335 23.0288i 1.79617 1.15433i
\(399\) −6.52105 5.63984i −0.326461 0.282345i
\(400\) −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
\(406\) 3.74836 4.33403i 0.186028 0.215094i
\(407\) −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 0.337586 0.941295i \(-0.390390\pi\)
−0.883670 + 0.468110i \(0.844935\pi\)
\(410\) 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 −0.764331 0.644824i \(-0.776931\pi\)
0.747036 + 0.664784i \(0.231476\pi\)
\(420\) 44.2166 6.39963i 2.15755 0.312270i
\(421\) −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
\(427\) −0.452733 + 3.16989i −0.0219093 + 0.153402i
\(428\) 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 −0.736273 0.676685i \(-0.763416\pi\)
−0.253549 + 0.967323i \(0.581598\pi\)
\(434\) −0.0429268 45.8579i −0.00206055 2.20125i
\(435\) −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 −0.554320 0.832304i \(-0.687021\pi\)
−0.297379 + 0.954760i \(0.596112\pi\)
\(440\) 44.1620 + 20.1681i 2.10534 + 0.961477i
\(441\) −2.89598 + 6.37286i −0.137904 + 0.303469i
\(442\) 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
\(448\) −17.4885 + 5.15287i −0.826253 + 0.243450i
\(449\) 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
\(455\) −2.68829 + 9.18728i −0.126029 + 0.430706i
\(456\) 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 \(-0.879381\pi\)
0.929059 0.369932i \(-0.120619\pi\)
\(462\) −12.5231 + 8.06470i −0.582629 + 0.375204i
\(463\) 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 −0.770952 0.636894i \(-0.780219\pi\)
0.259074 + 0.965857i \(0.416583\pi\)
\(468\) −3.25593 + 1.48693i −0.150505 + 0.0687334i
\(469\) −25.2147 11.4866i −1.16430 0.530404i
\(470\) −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
\(476\) −45.5772 29.2305i −2.08903 1.33978i
\(477\) −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 −0.278540 0.960425i \(-0.589850\pi\)
0.284922 + 0.958551i \(0.408032\pi\)
\(480\) −3.30788 1.51066i −0.150983 0.0689517i
\(481\) 0.946479 + 6.58290i 0.0431557 + 0.300155i
\(482\) 58.8724 2.68157
\(483\) −2.38601 12.4622i −0.108567 0.567051i
\(484\) 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
\(490\) 10.0224 70.6457i 0.452764 3.19145i
\(491\) −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
\(497\) 14.3782 31.5619i 0.644949 1.41575i
\(498\) 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 −0.910402 0.413725i \(-0.864227\pi\)
0.908859 + 0.417103i \(0.136955\pi\)
\(504\) 11.4553 7.37706i 0.510261 0.328600i
\(505\) 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 0.267781 0.963480i \(-0.413710\pi\)
−0.552790 + 0.833321i \(0.686437\pi\)
\(510\) 14.3790 + 48.9703i 0.636712 + 2.16844i
\(511\) −1.73901 + 5.94309i −0.0769292 + 0.262907i
\(512\) 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
\(518\) −14.0109 47.5521i −0.615604 2.08932i
\(519\) 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 \(-0.865913\pi\)
0.288588 0.957453i \(-0.406814\pi\)
\(522\) −1.82196 + 1.17090i −0.0797451 + 0.0512491i
\(523\) 34.1250 + 10.0200i 1.49218 + 0.438144i 0.923237 0.384232i \(-0.125534\pi\)
0.568945 + 0.822376i \(0.307352\pi\)
\(524\) −46.4827 40.2775i −2.03061 1.75953i
\(525\) −24.1125 + 20.9332i −1.05236 + 0.913599i
\(526\) 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
\(532\) 35.2389 0.0329865i 1.52780 0.00143014i
\(533\) −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
\(539\) 4.52878 + 15.3175i 0.195068 + 0.659770i
\(540\) −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
\(546\) 0.818848 + 5.65761i 0.0350434 + 0.242123i
\(547\) 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
\(560\) −32.4008 + 37.4634i −1.36919 + 1.58312i
\(561\) −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 \(0.175300\pi\)
−0.965060 + 0.262028i \(0.915609\pi\)
\(564\) −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
\(567\) 1.73073 2.00115i 0.0726837 0.0840402i
\(568\) −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 −0.416631 0.909075i \(-0.636789\pi\)
−0.143639 + 0.989630i \(0.545880\pi\)
\(578\) 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
\(581\) −1.09186 7.54392i −0.0452980 0.312975i
\(582\) −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 −0.424112 0.905610i \(-0.639414\pi\)
−0.662072 + 0.749440i \(0.730323\pi\)
\(588\) −8.11203 27.4369i −0.334534 1.13148i
\(589\) −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 0.950453 0.310869i \(-0.100620\pi\)
−0.172441 + 0.985020i \(0.555165\pi\)
\(594\) 5.40182 1.58612i 0.221639 0.0650792i
\(595\) 54.7303 0.0512320i 2.24372 0.00210031i
\(596\) 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 0.596489 0.802621i \(-0.296562\pi\)
−0.215963 + 0.976402i \(0.569289\pi\)
\(602\) −39.0859 + 33.9323i −1.59302 + 1.38298i
\(603\) 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 −0.739820 0.672805i \(-0.765089\pi\)
0.560669 + 0.828040i \(0.310544\pi\)
\(608\) −2.41294 1.55070i −0.0978575 0.0628892i
\(609\) 0.656401 + 2.22778i 0.0265987 + 0.0902742i
\(610\) −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
\(616\) 8.73130 29.8394i 0.351794 1.20226i
\(617\) 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 0.984112 0.177551i \(-0.0568176\pi\)
−0.994270 + 0.106897i \(0.965909\pi\)
\(620\) 118.629i 4.76426i
\(621\) −0.466211 + 4.77312i −0.0187084 + 0.191539i
\(622\) 7.64794i 0.306655i
\(623\) 31.8864 20.5343i 1.27750 0.822691i
\(624\) 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
\(630\) −11.1803 + 24.5423i −0.445435 + 0.977788i
\(631\) 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
\(637\) 6.06939 + 0.861052i 0.240478 + 0.0341161i
\(638\) −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 \(-0.649572\pi\)
−0.452792 + 0.891616i \(0.649572\pi\)
\(644\) 40.7267 + 32.1090i 1.60486 + 1.26527i
\(645\) 32.7595 1.28990
\(646\) 5.72897 + 39.8459i 0.225403 + 1.56771i
\(647\) 26.0075 + 11.8772i 1.02246 + 0.466942i 0.854830 0.518908i \(-0.173661\pi\)
0.167630 + 0.985850i \(0.446389\pi\)
\(648\) −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
\(651\) 15.6455 + 10.0341i 0.613197 + 0.393267i
\(652\) −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
\(658\) 42.0784 + 19.1690i 1.64039 + 0.747284i
\(659\) 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 0.999607 0.0280256i \(-0.00892198\pi\)
0.825771 + 0.564005i \(0.190740\pi\)
\(662\) 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
\(665\) −29.9472 + 19.2855i −1.16130 + 0.747860i
\(666\) 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
\(672\) −0.654003 + 2.23507i −0.0252287 + 0.0862196i
\(673\) −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 0.557401 0.830243i \(-0.311799\pi\)
−0.523663 + 0.851925i \(0.675435\pi\)
\(678\) 4.82660 33.5698i 0.185365 1.28924i
\(679\) −24.8903 + 7.33375i −0.955200 + 0.281444i
\(680\) −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
\(686\) −45.6938 + 0.128320i −1.74460 + 0.00489927i
\(687\) −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 \(-0.999312\pi\)
0.999998 0.00216192i \(-0.000688161\pi\)
\(692\) −91.0763 + 13.0948i −3.46220 + 0.497790i
\(693\) −0.00565131 6.03720i −0.000214675 0.229334i
\(694\) 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
\(700\) 18.4529 129.201i 0.697455 4.88336i
\(701\) −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
\(707\) −18.9522 + 2.74303i −0.712772 + 0.103162i
\(708\) −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 \(-0.729053\pi\)
0.961054 0.276361i \(-0.0891285\pi\)
\(720\) 15.7491 10.1213i 0.586933 0.377199i
\(721\) −24.5576 + 28.3946i −0.914572 + 1.05747i
\(722\) 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 0.430778 0.902458i \(-0.358239\pi\)
−0.954578 + 0.297960i \(0.903694\pi\)
\(728\) −9.02498 7.80541i −0.334488 0.289288i
\(729\) −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 −0.977236 0.212157i \(-0.931951\pi\)
0.800291 + 0.599612i \(0.204679\pi\)
\(734\) −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
\(742\) −50.9198 + 7.36982i −1.86933 + 0.270555i
\(743\) −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
\(749\) 6.01636 + 0.859274i 0.219833 + 0.0313972i
\(750\) −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
\(756\) 0.0101227 + 10.8139i 0.000368160 + 0.393299i
\(757\) −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 0.384476 0.923135i \(-0.374382\pi\)
0.628979 + 0.777422i \(0.283473\pi\)
\(762\) −43.3671 19.8051i −1.57102 0.717462i
\(763\) 6.19052 5.37427i 0.224112 0.194562i
\(764\) −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 0.196636 0.980477i \(-0.436998\pi\)
−0.810187 + 0.586171i \(0.800635\pi\)
\(770\) 17.3928 + 59.0300i 0.626793 + 2.12729i
\(771\) 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 0.911995