Properties

Label 416.2.bf.a.53.13
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.13
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.914272 + 1.07894i) q^{2} +(-0.832888 + 0.344993i) q^{3} +(-0.328213 - 1.97289i) q^{4} +(0.202993 - 0.490067i) q^{5} +(0.389260 - 1.21405i) q^{6} +(-3.33390 - 3.33390i) q^{7} +(2.42870 + 1.44963i) q^{8} +(-1.54664 + 1.54664i) q^{9} +O(q^{10})\) \(q+(-0.914272 + 1.07894i) q^{2} +(-0.832888 + 0.344993i) q^{3} +(-0.328213 - 1.97289i) q^{4} +(0.202993 - 0.490067i) q^{5} +(0.389260 - 1.21405i) q^{6} +(-3.33390 - 3.33390i) q^{7} +(2.42870 + 1.44963i) q^{8} +(-1.54664 + 1.54664i) q^{9} +(0.343162 + 0.667071i) q^{10} +(4.42955 + 1.83478i) q^{11} +(0.953997 + 1.52996i) q^{12} +(0.382683 + 0.923880i) q^{13} +(6.64516 - 0.548978i) q^{14} +0.478202i q^{15} +(-3.78455 + 1.29505i) q^{16} +7.74827i q^{17} +(-0.254678 - 3.08278i) q^{18} +(1.61256 + 3.89307i) q^{19} +(-1.03347 - 0.239635i) q^{20} +(3.92694 + 1.62659i) q^{21} +(-6.02943 + 3.10172i) q^{22} +(3.52222 - 3.52222i) q^{23} +(-2.52295 - 0.369497i) q^{24} +(3.33657 + 3.33657i) q^{25} +(-1.34669 - 0.431786i) q^{26} +(1.78958 - 4.32042i) q^{27} +(-5.48317 + 7.67163i) q^{28} +(-0.630780 + 0.261278i) q^{29} +(-0.515951 - 0.437207i) q^{30} +3.08692 q^{31} +(2.06283 - 5.26733i) q^{32} -4.32231 q^{33} +(-8.35990 - 7.08402i) q^{34} +(-2.31059 + 0.957078i) q^{35} +(3.55897 + 2.54371i) q^{36} +(-2.08053 + 5.02284i) q^{37} +(-5.67470 - 1.81947i) q^{38} +(-0.637465 - 0.637465i) q^{39} +(1.20343 - 0.895960i) q^{40} +(1.30005 - 1.30005i) q^{41} +(-5.34528 + 2.74977i) q^{42} +(-4.68794 - 1.94181i) q^{43} +(2.16598 - 9.34120i) q^{44} +(0.444001 + 1.07191i) q^{45} +(0.579989 + 7.02053i) q^{46} +12.3827i q^{47} +(2.70532 - 2.38428i) q^{48} +15.2298i q^{49} +(-6.65049 + 0.549419i) q^{50} +(-2.67310 - 6.45344i) q^{51} +(1.69711 - 1.05822i) q^{52} +(-6.73506 - 2.78975i) q^{53} +(3.02530 + 5.88088i) q^{54} +(1.79833 - 1.79833i) q^{55} +(-3.26410 - 12.9300i) q^{56} +(-2.68616 - 2.68616i) q^{57} +(0.294802 - 0.919451i) q^{58} +(0.668222 - 1.61323i) q^{59} +(0.943438 - 0.156952i) q^{60} +(1.73215 - 0.717482i) q^{61} +(-2.82228 + 3.33059i) q^{62} +10.3127 q^{63} +(3.79713 + 7.04144i) q^{64} +0.530445 q^{65} +(3.95177 - 4.66350i) q^{66} +(1.16466 - 0.482417i) q^{67} +(15.2864 - 2.54308i) q^{68} +(-1.71847 + 4.14876i) q^{69} +(1.07988 - 3.36801i) q^{70} +(-0.656769 - 0.656769i) q^{71} +(-5.99837 + 1.51426i) q^{72} +(7.00216 - 7.00216i) q^{73} +(-3.51716 - 6.83700i) q^{74} +(-3.93009 - 1.62790i) q^{75} +(7.15131 - 4.45915i) q^{76} +(-8.65071 - 20.8846i) q^{77} +(1.27060 - 0.104968i) q^{78} +1.72019i q^{79} +(-0.133573 + 2.11757i) q^{80} -2.34601i q^{81} +(0.214073 + 2.59127i) q^{82} +(-1.47301 - 3.55616i) q^{83} +(1.92021 - 8.28126i) q^{84} +(3.79717 + 1.57284i) q^{85} +(6.38115 - 3.28266i) q^{86} +(0.435230 - 0.435230i) q^{87} +(8.09828 + 10.8774i) q^{88} +(10.3610 + 10.3610i) q^{89} +(-1.56247 - 0.500971i) q^{90} +(1.80429 - 4.35595i) q^{91} +(-8.10498 - 5.79290i) q^{92} +(-2.57106 + 1.06497i) q^{93} +(-13.3602 - 11.3212i) q^{94} +2.23520 q^{95} +(0.0990870 + 5.09876i) q^{96} +3.99215 q^{97} +(-16.4320 - 13.9241i) q^{98} +(-9.68866 + 4.01317i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.914272 + 1.07894i −0.646488 + 0.762924i
\(3\) −0.832888 + 0.344993i −0.480868 + 0.199182i −0.609931 0.792454i \(-0.708803\pi\)
0.129063 + 0.991636i \(0.458803\pi\)
\(4\) −0.328213 1.97289i −0.164106 0.986443i
\(5\) 0.202993 0.490067i 0.0907810 0.219165i −0.871967 0.489564i \(-0.837156\pi\)
0.962748 + 0.270400i \(0.0871558\pi\)
\(6\) 0.389260 1.21405i 0.158915 0.495635i
\(7\) −3.33390 3.33390i −1.26010 1.26010i −0.951046 0.309049i \(-0.899989\pi\)
−0.309049 0.951046i \(-0.600011\pi\)
\(8\) 2.42870 + 1.44963i 0.858674 + 0.512523i
\(9\) −1.54664 + 1.54664i −0.515546 + 0.515546i
\(10\) 0.343162 + 0.667071i 0.108517 + 0.210946i
\(11\) 4.42955 + 1.83478i 1.33556 + 0.553207i 0.932236 0.361850i \(-0.117855\pi\)
0.403324 + 0.915057i \(0.367855\pi\)
\(12\) 0.953997 + 1.52996i 0.275395 + 0.441662i
\(13\) 0.382683 + 0.923880i 0.106137 + 0.256238i
\(14\) 6.64516 0.548978i 1.77599 0.146721i
\(15\) 0.478202i 0.123471i
\(16\) −3.78455 + 1.29505i −0.946138 + 0.323763i
\(17\) 7.74827i 1.87923i 0.342233 + 0.939615i \(0.388817\pi\)
−0.342233 + 0.939615i \(0.611183\pi\)
\(18\) −0.254678 3.08278i −0.0600282 0.726617i
\(19\) 1.61256 + 3.89307i 0.369947 + 0.893131i 0.993758 + 0.111556i \(0.0355834\pi\)
−0.623811 + 0.781575i \(0.714417\pi\)
\(20\) −1.03347 0.239635i −0.231091 0.0535839i
\(21\) 3.92694 + 1.62659i 0.856928 + 0.354951i
\(22\) −6.02943 + 3.10172i −1.28548 + 0.661289i
\(23\) 3.52222 3.52222i 0.734434 0.734434i −0.237061 0.971495i \(-0.576184\pi\)
0.971495 + 0.237061i \(0.0761840\pi\)
\(24\) −2.52295 0.369497i −0.514994 0.0754233i
\(25\) 3.33657 + 3.33657i 0.667315 + 0.667315i
\(26\) −1.34669 0.431786i −0.264107 0.0846802i
\(27\) 1.78958 4.32042i 0.344404 0.831465i
\(28\) −5.48317 + 7.67163i −1.03622 + 1.44980i
\(29\) −0.630780 + 0.261278i −0.117133 + 0.0485181i −0.440480 0.897762i \(-0.645192\pi\)
0.323347 + 0.946280i \(0.395192\pi\)
\(30\) −0.515951 0.437207i −0.0941992 0.0798227i
\(31\) 3.08692 0.554427 0.277214 0.960808i \(-0.410589\pi\)
0.277214 + 0.960808i \(0.410589\pi\)
\(32\) 2.06283 5.26733i 0.364660 0.931141i
\(33\) −4.32231 −0.752417
\(34\) −8.35990 7.08402i −1.43371 1.21490i
\(35\) −2.31059 + 0.957078i −0.390561 + 0.161776i
\(36\) 3.55897 + 2.54371i 0.593161 + 0.423952i
\(37\) −2.08053 + 5.02284i −0.342037 + 0.825750i 0.655473 + 0.755219i \(0.272469\pi\)
−0.997510 + 0.0705309i \(0.977531\pi\)
\(38\) −5.67470 1.81947i −0.920557 0.295157i
\(39\) −0.637465 0.637465i −0.102076 0.102076i
\(40\) 1.20343 0.895960i 0.190278 0.141664i
\(41\) 1.30005 1.30005i 0.203033 0.203033i −0.598265 0.801298i \(-0.704143\pi\)
0.801298 + 0.598265i \(0.204143\pi\)
\(42\) −5.34528 + 2.74977i −0.824794 + 0.424299i
\(43\) −4.68794 1.94181i −0.714905 0.296123i −0.00457225 0.999990i \(-0.501455\pi\)
−0.710332 + 0.703866i \(0.751455\pi\)
\(44\) 2.16598 9.34120i 0.326533 1.40824i
\(45\) 0.444001 + 1.07191i 0.0661878 + 0.159791i
\(46\) 0.579989 + 7.02053i 0.0855146 + 1.03512i
\(47\) 12.3827i 1.80621i 0.429423 + 0.903103i \(0.358717\pi\)
−0.429423 + 0.903103i \(0.641283\pi\)
\(48\) 2.70532 2.38428i 0.390480 0.344141i
\(49\) 15.2298i 2.17568i
\(50\) −6.65049 + 0.549419i −0.940522 + 0.0776995i
\(51\) −2.67310 6.45344i −0.374309 0.903662i
\(52\) 1.69711 1.05822i 0.235346 0.146749i
\(53\) −6.73506 2.78975i −0.925132 0.383202i −0.131302 0.991342i \(-0.541916\pi\)
−0.793830 + 0.608140i \(0.791916\pi\)
\(54\) 3.02530 + 5.88088i 0.411692 + 0.800287i
\(55\) 1.79833 1.79833i 0.242487 0.242487i
\(56\) −3.26410 12.9300i −0.436183 1.72784i
\(57\) −2.68616 2.68616i −0.355791 0.355791i
\(58\) 0.294802 0.919451i 0.0387095 0.120730i
\(59\) 0.668222 1.61323i 0.0869951 0.210025i −0.874394 0.485216i \(-0.838741\pi\)
0.961390 + 0.275191i \(0.0887411\pi\)
\(60\) 0.943438 0.156952i 0.121797 0.0202624i
\(61\) 1.73215 0.717482i 0.221780 0.0918641i −0.269027 0.963133i \(-0.586702\pi\)
0.490807 + 0.871268i \(0.336702\pi\)
\(62\) −2.82228 + 3.33059i −0.358430 + 0.422986i
\(63\) 10.3127 1.29927
\(64\) 3.79713 + 7.04144i 0.474641 + 0.880179i
\(65\) 0.530445 0.0657936
\(66\) 3.95177 4.66350i 0.486429 0.574037i
\(67\) 1.16466 0.482417i 0.142285 0.0589366i −0.310404 0.950605i \(-0.600464\pi\)
0.452690 + 0.891668i \(0.350464\pi\)
\(68\) 15.2864 2.54308i 1.85375 0.308394i
\(69\) −1.71847 + 4.14876i −0.206880 + 0.499452i
\(70\) 1.07988 3.36801i 0.129071 0.402555i
\(71\) −0.656769 0.656769i −0.0779441 0.0779441i 0.667060 0.745004i \(-0.267552\pi\)
−0.745004 + 0.667060i \(0.767552\pi\)
\(72\) −5.99837 + 1.51426i −0.706915 + 0.178457i
\(73\) 7.00216 7.00216i 0.819541 0.819541i −0.166500 0.986041i \(-0.553247\pi\)
0.986041 + 0.166500i \(0.0532467\pi\)
\(74\) −3.51716 6.83700i −0.408862 0.794785i
\(75\) −3.93009 1.62790i −0.453807 0.187973i
\(76\) 7.15131 4.45915i 0.820312 0.511500i
\(77\) −8.65071 20.8846i −0.985839 2.38003i
\(78\) 1.27060 0.104968i 0.143867 0.0118853i
\(79\) 1.72019i 0.193536i 0.995307 + 0.0967682i \(0.0308506\pi\)
−0.995307 + 0.0967682i \(0.969149\pi\)
\(80\) −0.133573 + 2.11757i −0.0149339 + 0.236752i
\(81\) 2.34601i 0.260668i
\(82\) 0.214073 + 2.59127i 0.0236404 + 0.286158i
\(83\) −1.47301 3.55616i −0.161684 0.390339i 0.822188 0.569217i \(-0.192753\pi\)
−0.983871 + 0.178878i \(0.942753\pi\)
\(84\) 1.92021 8.28126i 0.209512 0.903560i
\(85\) 3.79717 + 1.57284i 0.411861 + 0.170599i
\(86\) 6.38115 3.28266i 0.688097 0.353978i
\(87\) 0.435230 0.435230i 0.0466616 0.0466616i
\(88\) 8.09828 + 10.8774i 0.863279 + 1.15953i
\(89\) 10.3610 + 10.3610i 1.09826 + 1.09826i 0.994614 + 0.103645i \(0.0330507\pi\)
0.103645 + 0.994614i \(0.466949\pi\)
\(90\) −1.56247 0.500971i −0.164698 0.0528070i
\(91\) 1.80429 4.35595i 0.189141 0.456627i
\(92\) −8.10498 5.79290i −0.845003 0.603952i
\(93\) −2.57106 + 1.06497i −0.266606 + 0.110432i
\(94\) −13.3602 11.3212i −1.37800 1.16769i
\(95\) 2.23520 0.229327
\(96\) 0.0990870 + 5.09876i 0.0101130 + 0.520390i
\(97\) 3.99215 0.405341 0.202671 0.979247i \(-0.435038\pi\)
0.202671 + 0.979247i \(0.435038\pi\)
\(98\) −16.4320 13.9241i −1.65988 1.40655i
\(99\) −9.68866 + 4.01317i −0.973747 + 0.403339i
\(100\) 5.48757 7.67778i 0.548757 0.767778i
\(101\) −0.0483981 + 0.116843i −0.00481579 + 0.0116264i −0.926269 0.376863i \(-0.877003\pi\)
0.921453 + 0.388489i \(0.127003\pi\)
\(102\) 9.40680 + 3.01609i 0.931412 + 0.298637i
\(103\) 5.32970 + 5.32970i 0.525151 + 0.525151i 0.919123 0.393972i \(-0.128899\pi\)
−0.393972 + 0.919123i \(0.628899\pi\)
\(104\) −0.409864 + 2.79857i −0.0401905 + 0.274423i
\(105\) 1.59428 1.59428i 0.155586 0.155586i
\(106\) 9.16765 4.71612i 0.890441 0.458070i
\(107\) −8.49267 3.51778i −0.821017 0.340077i −0.0676770 0.997707i \(-0.521559\pi\)
−0.753340 + 0.657631i \(0.771559\pi\)
\(108\) −9.11106 2.11261i −0.876712 0.203286i
\(109\) 7.25189 + 17.5076i 0.694605 + 1.67692i 0.735290 + 0.677753i \(0.237046\pi\)
−0.0406851 + 0.999172i \(0.512954\pi\)
\(110\) 0.296123 + 3.58445i 0.0282343 + 0.341764i
\(111\) 4.90123i 0.465204i
\(112\) 16.9349 + 8.29974i 1.60020 + 0.784252i
\(113\) 3.73710i 0.351557i −0.984430 0.175778i \(-0.943756\pi\)
0.984430 0.175778i \(-0.0562442\pi\)
\(114\) 5.35409 0.442319i 0.501456 0.0414269i
\(115\) −1.01114 2.44111i −0.0942894 0.227635i
\(116\) 0.722501 + 1.15870i 0.0670825 + 0.107583i
\(117\) −2.02078 0.837035i −0.186821 0.0773839i
\(118\) 1.12964 + 2.19590i 0.103992 + 0.202149i
\(119\) 25.8319 25.8319i 2.36801 2.36801i
\(120\) −0.693218 + 1.16141i −0.0632818 + 0.106022i
\(121\) 8.47634 + 8.47634i 0.770577 + 0.770577i
\(122\) −0.809542 + 2.52486i −0.0732925 + 0.228590i
\(123\) −0.634286 + 1.53130i −0.0571916 + 0.138073i
\(124\) −1.01317 6.09014i −0.0909850 0.546910i
\(125\) 4.76278 1.97281i 0.425996 0.176453i
\(126\) −9.42859 + 11.1267i −0.839965 + 0.991248i
\(127\) −14.2108 −1.26101 −0.630504 0.776186i \(-0.717152\pi\)
−0.630504 + 0.776186i \(0.717152\pi\)
\(128\) −11.0689 2.34092i −0.978360 0.206910i
\(129\) 4.57444 0.402757
\(130\) −0.484971 + 0.572317i −0.0425348 + 0.0501955i
\(131\) 12.1232 5.02159i 1.05921 0.438738i 0.216038 0.976385i \(-0.430686\pi\)
0.843170 + 0.537647i \(0.180686\pi\)
\(132\) 1.41864 + 8.52742i 0.123477 + 0.742216i
\(133\) 7.60297 18.3552i 0.659261 1.59160i
\(134\) −0.544316 + 1.69765i −0.0470217 + 0.146655i
\(135\) −1.75403 1.75403i −0.150963 0.150963i
\(136\) −11.2321 + 18.8182i −0.963148 + 1.61365i
\(137\) −11.6514 + 11.6514i −0.995449 + 0.995449i −0.999990 0.00454083i \(-0.998555\pi\)
0.00454083 + 0.999990i \(0.498555\pi\)
\(138\) −2.90510 5.64722i −0.247299 0.480723i
\(139\) −17.5161 7.25542i −1.48570 0.615397i −0.515323 0.856996i \(-0.672328\pi\)
−0.970376 + 0.241599i \(0.922328\pi\)
\(140\) 2.64657 + 4.24441i 0.223676 + 0.358718i
\(141\) −4.27196 10.3134i −0.359764 0.868547i
\(142\) 1.30908 0.108147i 0.109855 0.00907551i
\(143\) 4.79451i 0.400937i
\(144\) 3.85036 7.85631i 0.320863 0.654693i
\(145\) 0.362162i 0.0300759i
\(146\) 1.15301 + 13.9568i 0.0954241 + 1.15507i
\(147\) −5.25416 12.6847i −0.433356 1.04621i
\(148\) 10.5923 + 2.45608i 0.870685 + 0.201889i
\(149\) 18.0872 + 7.49196i 1.48176 + 0.613766i 0.969506 0.245068i \(-0.0788101\pi\)
0.512255 + 0.858833i \(0.328810\pi\)
\(150\) 5.34957 2.75198i 0.436790 0.224698i
\(151\) −13.1597 + 13.1597i −1.07092 + 1.07092i −0.0736319 + 0.997285i \(0.523459\pi\)
−0.997285 + 0.0736319i \(0.976541\pi\)
\(152\) −1.72710 + 11.7927i −0.140086 + 0.956514i
\(153\) −11.9838 11.9838i −0.968830 0.968830i
\(154\) 30.4423 + 9.76068i 2.45311 + 0.786538i
\(155\) 0.626622 1.51280i 0.0503315 0.121511i
\(156\) −1.04842 + 1.46687i −0.0839408 + 0.117444i
\(157\) −14.1559 + 5.86358i −1.12977 + 0.467965i −0.867701 0.497086i \(-0.834403\pi\)
−0.262065 + 0.965050i \(0.584403\pi\)
\(158\) −1.85598 1.57272i −0.147654 0.125119i
\(159\) 6.57200 0.521193
\(160\) −2.16261 2.08015i −0.170969 0.164451i
\(161\) −23.4855 −1.85091
\(162\) 2.53120 + 2.14490i 0.198870 + 0.168519i
\(163\) −4.63107 + 1.91825i −0.362734 + 0.150249i −0.556604 0.830778i \(-0.687896\pi\)
0.193870 + 0.981027i \(0.437896\pi\)
\(164\) −2.99154 2.13815i −0.233600 0.166962i
\(165\) −0.877397 + 2.11822i −0.0683052 + 0.164903i
\(166\) 5.18360 + 1.66201i 0.402326 + 0.128997i
\(167\) −5.21882 5.21882i −0.403845 0.403845i 0.475741 0.879586i \(-0.342180\pi\)
−0.879586 + 0.475741i \(0.842180\pi\)
\(168\) 7.17938 + 9.64311i 0.553901 + 0.743982i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) −5.16865 + 2.65891i −0.396417 + 0.203929i
\(171\) −8.51522 3.52712i −0.651175 0.269725i
\(172\) −2.29232 + 9.88610i −0.174788 + 0.753808i
\(173\) −6.30600 15.2240i −0.479436 1.15746i −0.959874 0.280432i \(-0.909522\pi\)
0.480438 0.877029i \(-0.340478\pi\)
\(174\) 0.0716674 + 0.867505i 0.00543309 + 0.0657654i
\(175\) 22.2476i 1.68176i
\(176\) −19.1400 1.20732i −1.44273 0.0910052i
\(177\) 1.57417i 0.118322i
\(178\) −20.6516 + 1.70609i −1.54790 + 0.127877i
\(179\) −0.318603 0.769177i −0.0238135 0.0574910i 0.911525 0.411244i \(-0.134905\pi\)
−0.935339 + 0.353753i \(0.884905\pi\)
\(180\) 1.96904 1.22778i 0.146763 0.0915132i
\(181\) 3.82859 + 1.58585i 0.284577 + 0.117876i 0.520406 0.853919i \(-0.325781\pi\)
−0.235829 + 0.971795i \(0.575781\pi\)
\(182\) 3.05018 + 5.92924i 0.226094 + 0.439505i
\(183\) −1.19516 + 1.19516i −0.0883491 + 0.0883491i
\(184\) 13.6603 3.44848i 1.00705 0.254225i
\(185\) 2.03920 + 2.03920i 0.149925 + 0.149925i
\(186\) 1.20161 3.74768i 0.0881066 0.274793i
\(187\) −14.2164 + 34.3214i −1.03960 + 2.50983i
\(188\) 24.4297 4.06417i 1.78172 0.296410i
\(189\) −20.3701 + 8.43757i −1.48171 + 0.613743i
\(190\) −2.04358 + 2.41164i −0.148257 + 0.174959i
\(191\) 11.5465 0.835475 0.417737 0.908568i \(-0.362823\pi\)
0.417737 + 0.908568i \(0.362823\pi\)
\(192\) −5.59183 4.55474i −0.403556 0.328710i
\(193\) −4.85752 −0.349652 −0.174826 0.984599i \(-0.555936\pi\)
−0.174826 + 0.984599i \(0.555936\pi\)
\(194\) −3.64991 + 4.30728i −0.262048 + 0.309245i
\(195\) −0.441801 + 0.183000i −0.0316381 + 0.0131049i
\(196\) 30.0466 4.99860i 2.14618 0.357043i
\(197\) 6.81026 16.4414i 0.485211 1.17140i −0.471892 0.881656i \(-0.656429\pi\)
0.957103 0.289747i \(-0.0935711\pi\)
\(198\) 4.52811 14.1226i 0.321799 1.00365i
\(199\) −9.26731 9.26731i −0.656942 0.656942i 0.297713 0.954655i \(-0.403776\pi\)
−0.954655 + 0.297713i \(0.903776\pi\)
\(200\) 3.26672 + 12.9403i 0.230992 + 0.915020i
\(201\) −0.803598 + 0.803598i −0.0566814 + 0.0566814i
\(202\) −0.0818177 0.159045i −0.00575667 0.0111904i
\(203\) 2.97403 + 1.23188i 0.208736 + 0.0864613i
\(204\) −11.8545 + 7.39182i −0.829984 + 0.517531i
\(205\) −0.373211 0.901011i −0.0260662 0.0629293i
\(206\) −10.6232 + 0.877618i −0.740154 + 0.0611465i
\(207\) 10.8952i 0.757270i
\(208\) −2.64476 3.00088i −0.183381 0.208073i
\(209\) 20.2032i 1.39749i
\(210\) 0.262523 + 3.17773i 0.0181158 + 0.219284i
\(211\) 5.35077 + 12.9179i 0.368362 + 0.889305i 0.994019 + 0.109207i \(0.0348311\pi\)
−0.625657 + 0.780098i \(0.715169\pi\)
\(212\) −3.29333 + 14.2031i −0.226187 + 0.975475i
\(213\) 0.773596 + 0.320434i 0.0530059 + 0.0219558i
\(214\) 11.5601 5.94685i 0.790231 0.406519i
\(215\) −1.90324 + 1.90324i −0.129800 + 0.129800i
\(216\) 10.6094 7.89876i 0.721876 0.537442i
\(217\) −10.2915 10.2915i −0.698631 0.698631i
\(218\) −25.5198 8.18238i −1.72842 0.554181i
\(219\) −3.41632 + 8.24772i −0.230853 + 0.557329i
\(220\) −4.13814 2.95767i −0.278993 0.199406i
\(221\) −7.15846 + 2.96513i −0.481530 + 0.199456i
\(222\) 5.28812 + 4.48106i 0.354915 + 0.300749i
\(223\) 14.8530 0.994628 0.497314 0.867571i \(-0.334320\pi\)
0.497314 + 0.867571i \(0.334320\pi\)
\(224\) −24.4380 + 10.6835i −1.63283 + 0.713819i
\(225\) −10.3209 −0.688063
\(226\) 4.03210 + 3.41672i 0.268211 + 0.227277i
\(227\) 19.0195 7.87812i 1.26237 0.522889i 0.351731 0.936101i \(-0.385593\pi\)
0.910635 + 0.413212i \(0.135593\pi\)
\(228\) −4.41786 + 6.18113i −0.292580 + 0.409355i
\(229\) 6.37961 15.4017i 0.421577 1.01778i −0.560306 0.828286i \(-0.689316\pi\)
0.981883 0.189490i \(-0.0606835\pi\)
\(230\) 3.55827 + 1.14088i 0.234625 + 0.0752275i
\(231\) 14.4101 + 14.4101i 0.948117 + 0.948117i
\(232\) −1.91073 0.279836i −0.125446 0.0183721i
\(233\) 3.02007 3.02007i 0.197851 0.197851i −0.601227 0.799078i \(-0.705321\pi\)
0.799078 + 0.601227i \(0.205321\pi\)
\(234\) 2.75065 1.41502i 0.179816 0.0925027i
\(235\) 6.06837 + 2.51360i 0.395857 + 0.163969i
\(236\) −3.40204 0.788843i −0.221454 0.0513493i
\(237\) −0.593454 1.43273i −0.0385490 0.0930655i
\(238\) 4.25363 + 51.4884i 0.275722 + 3.33750i
\(239\) 16.2646i 1.05207i 0.850463 + 0.526035i \(0.176322\pi\)
−0.850463 + 0.526035i \(0.823678\pi\)
\(240\) −0.619297 1.80978i −0.0399755 0.116821i
\(241\) 3.00421i 0.193518i −0.995308 0.0967591i \(-0.969152\pi\)
0.995308 0.0967591i \(-0.0308476\pi\)
\(242\) −16.8951 + 1.39576i −1.08606 + 0.0897229i
\(243\) 6.17809 + 14.9152i 0.396325 + 0.956812i
\(244\) −1.98402 3.18186i −0.127014 0.203697i
\(245\) 7.46361 + 3.09153i 0.476832 + 0.197510i
\(246\) −1.07227 2.08438i −0.0683654 0.132895i
\(247\) −2.97962 + 2.97962i −0.189589 + 0.189589i
\(248\) 7.49719 + 4.47490i 0.476072 + 0.284156i
\(249\) 2.45370 + 2.45370i 0.155497 + 0.155497i
\(250\) −2.22594 + 6.94243i −0.140781 + 0.439078i
\(251\) −2.05015 + 4.94951i −0.129405 + 0.312410i −0.975281 0.220969i \(-0.929078\pi\)
0.845876 + 0.533379i \(0.179078\pi\)
\(252\) −3.38475 20.3457i −0.213219 1.28166i
\(253\) 22.0644 9.13937i 1.38718 0.574587i
\(254\) 12.9926 15.3326i 0.815226 0.962053i
\(255\) −3.70524 −0.232031
\(256\) 12.6457 9.80239i 0.790355 0.612649i
\(257\) 15.5291 0.968677 0.484338 0.874881i \(-0.339060\pi\)
0.484338 + 0.874881i \(0.339060\pi\)
\(258\) −4.18229 + 4.93554i −0.260378 + 0.307273i
\(259\) 23.6819 9.80936i 1.47152 0.609524i
\(260\) −0.174099 1.04651i −0.0107972 0.0649016i
\(261\) 0.571487 1.37969i 0.0353741 0.0854007i
\(262\) −5.66591 + 17.6713i −0.350041 + 1.09173i
\(263\) −12.7023 12.7023i −0.783260 0.783260i 0.197120 0.980379i \(-0.436841\pi\)
−0.980379 + 0.197120i \(0.936841\pi\)
\(264\) −10.4976 6.26576i −0.646081 0.385631i
\(265\) −2.73434 + 2.73434i −0.167969 + 0.167969i
\(266\) 12.8529 + 24.9848i 0.788064 + 1.53192i
\(267\) −12.2040 5.05505i −0.746872 0.309364i
\(268\) −1.33401 2.13940i −0.0814875 0.130685i
\(269\) −7.59425 18.3341i −0.463030 1.11785i −0.967147 0.254217i \(-0.918182\pi\)
0.504118 0.863635i \(-0.331818\pi\)
\(270\) 3.49614 0.288828i 0.212768 0.0175775i
\(271\) 0.295802i 0.0179687i −0.999960 0.00898435i \(-0.997140\pi\)
0.999960 0.00898435i \(-0.00285985\pi\)
\(272\) −10.0344 29.3237i −0.608426 1.77801i
\(273\) 4.25049i 0.257251i
\(274\) −1.91859 23.2237i −0.115906 1.40300i
\(275\) 8.65765 + 20.9014i 0.522076 + 1.26040i
\(276\) 8.74905 + 2.02867i 0.526631 + 0.122112i
\(277\) −15.7305 6.51579i −0.945155 0.391496i −0.143747 0.989614i \(-0.545915\pi\)
−0.801408 + 0.598118i \(0.795915\pi\)
\(278\) 23.8427 12.2654i 1.42999 0.735629i
\(279\) −4.77435 + 4.77435i −0.285833 + 0.285833i
\(280\) −6.99914 1.02506i −0.418278 0.0612589i
\(281\) 10.9511 + 10.9511i 0.653287 + 0.653287i 0.953783 0.300496i \(-0.0971521\pi\)
−0.300496 + 0.953783i \(0.597152\pi\)
\(282\) 15.0333 + 4.82010i 0.895219 + 0.287033i
\(283\) −4.41329 + 10.6546i −0.262343 + 0.633352i −0.999083 0.0428247i \(-0.986364\pi\)
0.736740 + 0.676176i \(0.236364\pi\)
\(284\) −1.08017 + 1.51129i −0.0640963 + 0.0896785i
\(285\) −1.86167 + 0.771130i −0.110276 + 0.0456778i
\(286\) −5.17298 4.38349i −0.305885 0.259201i
\(287\) −8.66845 −0.511682
\(288\) 4.95620 + 11.3371i 0.292047 + 0.668045i
\(289\) −43.0356 −2.53151
\(290\) −0.390751 0.331115i −0.0229457 0.0194437i
\(291\) −3.32501 + 1.37726i −0.194916 + 0.0807367i
\(292\) −16.1127 11.5163i −0.942922 0.673938i
\(293\) −0.370895 + 0.895420i −0.0216679 + 0.0523110i −0.934343 0.356375i \(-0.884013\pi\)
0.912675 + 0.408686i \(0.134013\pi\)
\(294\) 18.4897 + 5.92833i 1.07834 + 0.345747i
\(295\) −0.654948 0.654948i −0.0381325 0.0381325i
\(296\) −12.3342 + 9.18295i −0.716913 + 0.533748i
\(297\) 15.8540 15.8540i 0.919945 0.919945i
\(298\) −24.6200 + 12.6653i −1.42620 + 0.733679i
\(299\) 4.60201 + 1.90621i 0.266141 + 0.110239i
\(300\) −1.92175 + 8.28791i −0.110952 + 0.478503i
\(301\) 9.15533 + 22.1029i 0.527704 + 1.27399i
\(302\) −2.16694 26.2299i −0.124693 1.50936i
\(303\) 0.114015i 0.00654996i
\(304\) −11.1445 12.6452i −0.639184 0.725250i
\(305\) 0.994516i 0.0569458i
\(306\) 23.8862 1.97331i 1.36548 0.112807i
\(307\) −10.3376 24.9571i −0.589997 1.42438i −0.883505 0.468422i \(-0.844823\pi\)
0.293508 0.955957i \(-0.405177\pi\)
\(308\) −38.3637 + 23.9215i −2.18598 + 1.36305i
\(309\) −6.27775 2.60033i −0.357129 0.147928i
\(310\) 1.05931 + 2.05920i 0.0601649 + 0.116954i
\(311\) 7.43534 7.43534i 0.421619 0.421619i −0.464142 0.885761i \(-0.653637\pi\)
0.885761 + 0.464142i \(0.153637\pi\)
\(312\) −0.624118 2.47230i −0.0353337 0.139966i
\(313\) 11.3747 + 11.3747i 0.642935 + 0.642935i 0.951276 0.308341i \(-0.0997737\pi\)
−0.308341 + 0.951276i \(0.599774\pi\)
\(314\) 6.61594 20.6343i 0.373359 1.16446i
\(315\) 2.09340 5.05390i 0.117949 0.284755i
\(316\) 3.39374 0.564588i 0.190913 0.0317606i
\(317\) 8.00586 3.31614i 0.449654 0.186253i −0.146352 0.989233i \(-0.546753\pi\)
0.596006 + 0.802980i \(0.296753\pi\)
\(318\) −6.00859 + 7.09078i −0.336945 + 0.397631i
\(319\) −3.27346 −0.183279
\(320\) 4.22157 0.431490i 0.235993 0.0241210i
\(321\) 8.28705 0.462538
\(322\) 21.4721 25.3394i 1.19659 1.41211i
\(323\) −30.1645 + 12.4946i −1.67840 + 0.695215i
\(324\) −4.62842 + 0.769992i −0.257134 + 0.0427773i
\(325\) −1.80574 + 4.35944i −0.100164 + 0.241818i
\(326\) 2.16439 6.75045i 0.119874 0.373873i
\(327\) −12.0800 12.0800i −0.668027 0.668027i
\(328\) 5.04201 1.27283i 0.278398 0.0702802i
\(329\) 41.2828 41.2828i 2.27599 2.27599i
\(330\) −1.48325 2.88329i −0.0816503 0.158720i
\(331\) −26.9831 11.1768i −1.48312 0.614330i −0.513316 0.858200i \(-0.671583\pi\)
−0.969808 + 0.243870i \(0.921583\pi\)
\(332\) −6.53243 + 4.07325i −0.358514 + 0.223549i
\(333\) −4.55069 10.9863i −0.249376 0.602048i
\(334\) 10.4022 0.859360i 0.569184 0.0470221i
\(335\) 0.668687i 0.0365343i
\(336\) −16.9682 1.07033i −0.925692 0.0583912i
\(337\) 15.3871i 0.838188i 0.907943 + 0.419094i \(0.137652\pi\)
−0.907943 + 0.419094i \(0.862348\pi\)
\(338\) −0.116436 1.40941i −0.00633329 0.0766619i
\(339\) 1.28927 + 3.11258i 0.0700238 + 0.169052i
\(340\) 1.85675 8.00761i 0.100697 0.434274i
\(341\) 13.6737 + 5.66382i 0.740471 + 0.306713i
\(342\) 11.5908 5.96264i 0.626757 0.322423i
\(343\) 27.4372 27.4372i 1.48147 1.48147i
\(344\) −8.57068 11.5119i −0.462100 0.620678i
\(345\) 1.68434 + 1.68434i 0.0906816 + 0.0906816i
\(346\) 22.1912 + 7.11512i 1.19300 + 0.382511i
\(347\) −2.72145 + 6.57015i −0.146095 + 0.352704i −0.979940 0.199295i \(-0.936135\pi\)
0.833845 + 0.551999i \(0.186135\pi\)
\(348\) −1.00151 0.715811i −0.0536864 0.0383715i
\(349\) 8.89043 3.68254i 0.475894 0.197122i −0.131826 0.991273i \(-0.542084\pi\)
0.607720 + 0.794151i \(0.292084\pi\)
\(350\) 24.0038 + 20.3404i 1.28306 + 1.08724i
\(351\) 4.67639 0.249607
\(352\) 18.8018 19.5471i 1.00214 1.04186i
\(353\) −4.92385 −0.262070 −0.131035 0.991378i \(-0.541830\pi\)
−0.131035 + 0.991378i \(0.541830\pi\)
\(354\) −1.69843 1.43922i −0.0902708 0.0764938i
\(355\) −0.455180 + 0.188542i −0.0241585 + 0.0100068i
\(356\) 17.0404 23.8416i 0.903139 1.26360i
\(357\) −12.6033 + 30.4269i −0.667035 + 1.61036i
\(358\) 1.12118 + 0.359484i 0.0592564 + 0.0189993i
\(359\) 1.87267 + 1.87267i 0.0988356 + 0.0988356i 0.754796 0.655960i \(-0.227736\pi\)
−0.655960 + 0.754796i \(0.727736\pi\)
\(360\) −0.475537 + 3.24699i −0.0250630 + 0.171131i
\(361\) 0.879414 0.879414i 0.0462849 0.0462849i
\(362\) −5.21141 + 2.68091i −0.273906 + 0.140905i
\(363\) −9.98413 4.13556i −0.524031 0.217061i
\(364\) −9.18598 2.12998i −0.481476 0.111642i
\(365\) −2.01014 4.85292i −0.105216 0.254013i
\(366\) −0.196802 2.38221i −0.0102870 0.124520i
\(367\) 17.8503i 0.931781i 0.884842 + 0.465890i \(0.154266\pi\)
−0.884842 + 0.465890i \(0.845734\pi\)
\(368\) −8.76857 + 17.8915i −0.457094 + 0.932659i
\(369\) 4.02141i 0.209346i
\(370\) −4.06455 + 0.335786i −0.211306 + 0.0174567i
\(371\) 13.1533 + 31.7548i 0.682883 + 1.64863i
\(372\) 2.94491 + 4.72287i 0.152687 + 0.244869i
\(373\) 11.5446 + 4.78194i 0.597758 + 0.247600i 0.660984 0.750400i \(-0.270139\pi\)
−0.0632260 + 0.997999i \(0.520139\pi\)
\(374\) −24.0330 46.7176i −1.24272 2.41571i
\(375\) −3.28626 + 3.28626i −0.169702 + 0.169702i
\(376\) −17.9504 + 30.0739i −0.925722 + 1.55094i
\(377\) −0.482778 0.482778i −0.0248643 0.0248643i
\(378\) 9.52020 29.6923i 0.489667 1.52721i
\(379\) 14.2103 34.3066i 0.729933 1.76221i 0.0871108 0.996199i \(-0.472237\pi\)
0.642822 0.766015i \(-0.277763\pi\)
\(380\) −0.733622 4.40980i −0.0376340 0.226218i
\(381\) 11.8360 4.90264i 0.606378 0.251170i
\(382\) −10.5566 + 12.4579i −0.540125 + 0.637404i
\(383\) 26.1491 1.33616 0.668079 0.744090i \(-0.267117\pi\)
0.668079 + 0.744090i \(0.267117\pi\)
\(384\) 10.0267 1.86896i 0.511675 0.0953752i
\(385\) −11.9909 −0.611114
\(386\) 4.44109 5.24096i 0.226046 0.266758i
\(387\) 10.2538 4.24728i 0.521232 0.215901i
\(388\) −1.31027 7.87605i −0.0665191 0.399846i
\(389\) −2.00089 + 4.83057i −0.101449 + 0.244919i −0.966452 0.256847i \(-0.917316\pi\)
0.865003 + 0.501767i \(0.167316\pi\)
\(390\) 0.206481 0.643988i 0.0104556 0.0326096i
\(391\) 27.2911 + 27.2911i 1.38017 + 1.38017i
\(392\) −22.0776 + 36.9884i −1.11508 + 1.86820i
\(393\) −8.36484 + 8.36484i −0.421951 + 0.421951i
\(394\) 11.5128 + 22.3798i 0.580008 + 1.12748i
\(395\) 0.843009 + 0.349186i 0.0424164 + 0.0175694i
\(396\) 11.0975 + 17.7974i 0.557669 + 0.894355i
\(397\) −7.17618 17.3248i −0.360162 0.869508i −0.995276 0.0970895i \(-0.969047\pi\)
0.635113 0.772419i \(-0.280953\pi\)
\(398\) 18.4717 1.52601i 0.925902 0.0764917i
\(399\) 17.9108i 0.896662i
\(400\) −16.9485 8.30640i −0.847424 0.415320i
\(401\) 17.4600i 0.871912i −0.899968 0.435956i \(-0.856410\pi\)
0.899968 0.435956i \(-0.143590\pi\)
\(402\) −0.132325 1.60174i −0.00659976 0.0798875i
\(403\) 1.18131 + 2.85194i 0.0588454 + 0.142065i
\(404\) 0.246404 + 0.0571345i 0.0122590 + 0.00284255i
\(405\) −1.14971 0.476224i −0.0571293 0.0236637i
\(406\) −4.04820 + 2.08252i −0.200909 + 0.103354i
\(407\) −18.4316 + 18.4316i −0.913621 + 0.913621i
\(408\) 2.86296 19.5484i 0.141738 0.967792i
\(409\) −11.8239 11.8239i −0.584656 0.584656i 0.351523 0.936179i \(-0.385664\pi\)
−0.936179 + 0.351523i \(0.885664\pi\)
\(410\) 1.31335 + 0.421098i 0.0648618 + 0.0207965i
\(411\) 5.68467 13.7240i 0.280404 0.676955i
\(412\) 8.76561 12.2642i 0.431851 0.604212i
\(413\) −7.60613 + 3.15056i −0.374273 + 0.155029i
\(414\) −11.7553 9.96119i −0.577739 0.489566i
\(415\) −2.04177 −0.100226
\(416\) 5.65579 0.109912i 0.277298 0.00538889i
\(417\) 17.0920 0.837001
\(418\) −21.7980 18.4713i −1.06618 0.903459i
\(419\) 9.60308 3.97772i 0.469141 0.194325i −0.135573 0.990767i \(-0.543287\pi\)
0.604714 + 0.796443i \(0.293287\pi\)
\(420\) −3.66859 2.62206i −0.179009 0.127944i
\(421\) −5.17425 + 12.4917i −0.252177 + 0.608810i −0.998379 0.0569096i \(-0.981875\pi\)
0.746202 + 0.665720i \(0.231875\pi\)
\(422\) −18.8297 6.03733i −0.916614 0.293893i
\(423\) −19.1516 19.1516i −0.931183 0.931183i
\(424\) −12.3133 16.5388i −0.597987 0.803197i
\(425\) −25.8527 + 25.8527i −1.25404 + 1.25404i
\(426\) −1.05301 + 0.541698i −0.0510183 + 0.0262453i
\(427\) −8.16684 3.38282i −0.395221 0.163706i
\(428\) −4.15277 + 17.9096i −0.200732 + 0.865695i
\(429\) −1.65408 3.99329i −0.0798595 0.192798i
\(430\) −0.313397 3.79355i −0.0151134 0.182941i
\(431\) 23.3031i 1.12247i 0.827656 + 0.561235i \(0.189674\pi\)
−0.827656 + 0.561235i \(0.810326\pi\)
\(432\) −1.17758 + 18.6685i −0.0566561 + 0.898186i
\(433\) 13.4213i 0.644988i −0.946571 0.322494i \(-0.895479\pi\)
0.946571 0.322494i \(-0.104521\pi\)
\(434\) 20.5131 1.69465i 0.984659 0.0813458i
\(435\) −0.124944 0.301641i −0.00599059 0.0144626i
\(436\) 32.1603 20.0534i 1.54020 0.960382i
\(437\) 19.3920 + 8.03245i 0.927647 + 0.384244i
\(438\) −5.77533 11.2266i −0.275956 0.536430i
\(439\) 6.72257 6.72257i 0.320851 0.320851i −0.528243 0.849093i \(-0.677149\pi\)
0.849093 + 0.528243i \(0.177149\pi\)
\(440\) 6.97453 1.76068i 0.332497 0.0839372i
\(441\) −23.5549 23.5549i −1.12166 1.12166i
\(442\) 3.34559 10.4345i 0.159134 0.496317i
\(443\) −3.56928 + 8.61700i −0.169582 + 0.409406i −0.985707 0.168469i \(-0.946118\pi\)
0.816125 + 0.577875i \(0.196118\pi\)
\(444\) −9.66956 + 1.60865i −0.458897 + 0.0763430i
\(445\) 7.18077 2.97437i 0.340401 0.140999i
\(446\) −13.5797 + 16.0254i −0.643015 + 0.758826i
\(447\) −17.6493 −0.834783
\(448\) 10.8162 36.1347i 0.511017 1.70720i
\(449\) 38.6546 1.82422 0.912112 0.409940i \(-0.134450\pi\)
0.912112 + 0.409940i \(0.134450\pi\)
\(450\) 9.43616 11.1357i 0.444825 0.524940i
\(451\) 8.14393 3.37333i 0.383483 0.158844i
\(452\) −7.37287 + 1.22656i −0.346790 + 0.0576927i
\(453\) 6.42052 15.5005i 0.301662 0.728277i
\(454\) −8.88897 + 27.7236i −0.417180 + 1.30113i
\(455\) −1.76845 1.76845i −0.0829062 0.0829062i
\(456\) −2.62993 10.4178i −0.123158 0.487860i
\(457\) 25.7792 25.7792i 1.20590 1.20590i 0.233559 0.972343i \(-0.424963\pi\)
0.972343 0.233559i \(-0.0750373\pi\)
\(458\) 10.7848 + 20.9646i 0.503942 + 0.979611i
\(459\) 33.4758 + 13.8661i 1.56251 + 0.647215i
\(460\) −4.48416 + 2.79607i −0.209075 + 0.130367i
\(461\) −13.3677 32.2724i −0.622595 1.50308i −0.848646 0.528961i \(-0.822582\pi\)
0.226051 0.974115i \(-0.427418\pi\)
\(462\) −28.7224 + 2.37285i −1.33629 + 0.110395i
\(463\) 25.0638i 1.16481i 0.812898 + 0.582407i \(0.197889\pi\)
−0.812898 + 0.582407i \(0.802111\pi\)
\(464\) 2.04885 1.80571i 0.0951156 0.0838281i
\(465\) 1.47617i 0.0684558i
\(466\) 0.497301 + 6.01963i 0.0230370 + 0.278854i
\(467\) −2.15146 5.19409i −0.0995579 0.240354i 0.866251 0.499609i \(-0.166523\pi\)
−0.965809 + 0.259255i \(0.916523\pi\)
\(468\) −0.988127 + 4.26149i −0.0456762 + 0.196988i
\(469\) −5.49117 2.27452i −0.253559 0.105028i
\(470\) −8.26017 + 4.24928i −0.381013 + 0.196005i
\(471\) 9.76741 9.76741i 0.450058 0.450058i
\(472\) 3.96150 2.94937i 0.182343 0.135756i
\(473\) −17.2027 17.2027i −0.790981 0.790981i
\(474\) 2.08840 + 0.669601i 0.0959234 + 0.0307558i
\(475\) −7.60908 + 18.3699i −0.349128 + 0.842870i
\(476\) −59.4418 42.4851i −2.72451 1.94730i
\(477\) 14.7314 6.10196i 0.674507 0.279390i
\(478\) −17.5485 14.8703i −0.802650 0.680151i
\(479\) −7.44326 −0.340091 −0.170046 0.985436i \(-0.554391\pi\)
−0.170046 + 0.985436i \(0.554391\pi\)
\(480\) 2.51885 + 0.986450i 0.114969 + 0.0450251i
\(481\) −5.43668 −0.247891
\(482\) 3.24135 + 2.74666i 0.147640 + 0.125107i
\(483\) 19.5608 8.10233i 0.890045 0.368669i
\(484\) 13.9408 19.5049i 0.633673 0.886586i
\(485\) 0.810376 1.95642i 0.0367973 0.0888365i
\(486\) −21.7411 6.97080i −0.986194 0.316202i
\(487\) 7.32791 + 7.32791i 0.332059 + 0.332059i 0.853368 0.521309i \(-0.174556\pi\)
−0.521309 + 0.853368i \(0.674556\pi\)
\(488\) 5.24696 + 0.768443i 0.237519 + 0.0347858i
\(489\) 3.19538 3.19538i 0.144500 0.144500i
\(490\) −10.1593 + 5.22627i −0.458952 + 0.236099i
\(491\) −19.1363 7.92651i −0.863609 0.357719i −0.0934910 0.995620i \(-0.529803\pi\)
−0.770118 + 0.637902i \(0.779803\pi\)
\(492\) 3.22926 + 0.748780i 0.145586 + 0.0337576i
\(493\) −2.02445 4.88745i −0.0911766 0.220120i
\(494\) −0.490641 5.93902i −0.0220750 0.267209i
\(495\) 5.56274i 0.250027i
\(496\) −11.6826 + 3.99772i −0.524565 + 0.179503i
\(497\) 4.37920i 0.196434i
\(498\) −4.89074 + 0.404040i −0.219159 + 0.0181055i
\(499\) 4.00569 + 9.67058i 0.179319 + 0.432915i 0.987824 0.155575i \(-0.0497229\pi\)
−0.808505 + 0.588489i \(0.799723\pi\)
\(500\) −5.45533 8.74892i −0.243970 0.391264i
\(501\) 6.14716 + 2.54624i 0.274635 + 0.113757i
\(502\) −3.46581 6.73719i −0.154687 0.300695i
\(503\) −3.62585 + 3.62585i −0.161669 + 0.161669i −0.783306 0.621637i \(-0.786468\pi\)
0.621637 + 0.783306i \(0.286468\pi\)
\(504\) 25.0463 + 14.9496i 1.11565 + 0.665908i
\(505\) 0.0474367 + 0.0474367i 0.00211091 + 0.00211091i
\(506\) −10.3120 + 32.1620i −0.458426 + 1.42977i
\(507\) 0.344993 0.832888i 0.0153217 0.0369898i
\(508\) 4.66418 + 28.0363i 0.206939 + 1.24391i
\(509\) −24.9433 + 10.3319i −1.10559 + 0.457952i −0.859418 0.511273i \(-0.829174\pi\)
−0.246176 + 0.969225i \(0.579174\pi\)
\(510\) 3.38760 3.99772i 0.150005 0.177022i
\(511\) −46.6890 −2.06540
\(512\) −0.985424 + 22.6059i −0.0435500 + 0.999051i
\(513\) 19.7055 0.870018
\(514\) −14.1978 + 16.7549i −0.626238 + 0.739027i
\(515\) 3.69380 1.53002i 0.162768 0.0674209i
\(516\) −1.50139 9.02485i −0.0660951 0.397297i
\(517\) −22.7196 + 54.8500i −0.999207 + 2.41230i
\(518\) −11.0680 + 34.5197i −0.486300 + 1.51671i
\(519\) 10.5044 + 10.5044i 0.461091 + 0.461091i
\(520\) 1.28829 + 0.768951i 0.0564953 + 0.0337207i
\(521\) −1.79204 + 1.79204i −0.0785107 + 0.0785107i −0.745272 0.666761i \(-0.767680\pi\)
0.666761 + 0.745272i \(0.267680\pi\)
\(522\) 0.966106 + 1.87801i 0.0422853 + 0.0821984i
\(523\) 40.4456 + 16.7531i 1.76856 + 0.732563i 0.995117 + 0.0987003i \(0.0314685\pi\)
0.773446 + 0.633862i \(0.218531\pi\)
\(524\) −13.8860 22.2695i −0.606613 0.972848i
\(525\) 7.67527 + 18.5298i 0.334976 + 0.808705i
\(526\) 25.3184 2.09164i 1.10394 0.0911997i
\(527\) 23.9183i 1.04190i
\(528\) 16.3580 5.59762i 0.711891 0.243605i
\(529\) 1.81211i 0.0787873i
\(530\) −0.450251 5.45010i −0.0195576 0.236737i
\(531\) 1.46159 + 3.52858i 0.0634275 + 0.153128i
\(532\) −38.7081 8.97538i −1.67821 0.389132i
\(533\) 1.69859 + 0.703580i 0.0735743 + 0.0304755i
\(534\) 16.6118 8.54564i 0.718865 0.369806i
\(535\) −3.44790 + 3.44790i −0.149066 + 0.149066i
\(536\) 3.52792 + 0.516681i 0.152383 + 0.0223172i
\(537\) 0.530722 + 0.530722i 0.0229023 + 0.0229023i
\(538\) 26.7246 + 8.56867i 1.15218 + 0.369422i
\(539\) −27.9433 + 67.4610i −1.20360 + 2.90575i
\(540\) −2.88480 + 4.03619i −0.124142 + 0.173690i
\(541\) −12.7611 + 5.28582i −0.548642 + 0.227255i −0.639746 0.768586i \(-0.720960\pi\)
0.0911038 + 0.995841i \(0.470960\pi\)
\(542\) 0.319152 + 0.270444i 0.0137088 + 0.0116165i
\(543\) −3.73590 −0.160323
\(544\) 40.8126 + 15.9834i 1.74983 + 0.685281i
\(545\) 10.0520 0.430580
\(546\) −4.58601 3.88610i −0.196263 0.166310i
\(547\) −1.94262 + 0.804659i −0.0830604 + 0.0344047i −0.423827 0.905743i \(-0.639313\pi\)
0.340766 + 0.940148i \(0.389313\pi\)
\(548\) 26.8111 + 19.1628i 1.14531 + 0.818594i
\(549\) −1.56933 + 3.78870i −0.0669775 + 0.161698i
\(550\) −30.4668 9.76852i −1.29911 0.416531i
\(551\) −2.03434 2.03434i −0.0866659 0.0866659i
\(552\) −10.1878 + 7.58492i −0.433623 + 0.322836i
\(553\) 5.73494 5.73494i 0.243874 0.243874i
\(554\) 21.4121 11.0150i 0.909713 0.467984i
\(555\) −2.40193 0.994913i −0.101956 0.0422317i
\(556\) −8.56509 + 36.9386i −0.363241 + 1.56655i
\(557\) 1.29766 + 3.13282i 0.0549835 + 0.132742i 0.948984 0.315324i \(-0.102113\pi\)
−0.894001 + 0.448066i \(0.852113\pi\)
\(558\) −0.786170 9.51628i −0.0332812 0.402856i
\(559\) 5.07419i 0.214616i
\(560\) 7.50509 6.61445i 0.317148 0.279512i
\(561\) 33.4904i 1.41397i
\(562\) −21.8278 + 1.80327i −0.920751 + 0.0760662i
\(563\) 0.405299 + 0.978479i 0.0170813 + 0.0412380i 0.932190 0.361969i \(-0.117895\pi\)
−0.915109 + 0.403207i \(0.867895\pi\)
\(564\) −18.9451 + 11.8131i −0.797732 + 0.497421i
\(565\) −1.83143 0.758603i −0.0770488 0.0319147i
\(566\) −7.46073 14.5029i −0.313598 0.609602i
\(567\) −7.82137 + 7.82137i −0.328467 + 0.328467i
\(568\) −0.643018 2.54717i −0.0269804 0.106877i
\(569\) −11.9624 11.9624i −0.501489 0.501489i 0.410411 0.911901i \(-0.365385\pi\)
−0.911901 + 0.410411i \(0.865385\pi\)
\(570\) 0.870075 2.71365i 0.0364434 0.113662i
\(571\) 12.5215 30.2296i 0.524009 1.26507i −0.411384 0.911462i \(-0.634955\pi\)
0.935394 0.353608i \(-0.115045\pi\)
\(572\) 9.45902 1.57362i 0.395502 0.0657964i
\(573\) −9.61693 + 3.98346i −0.401753 + 0.166412i
\(574\) 7.92532 9.35272i 0.330797 0.390375i
\(575\) 23.5043 0.980198
\(576\) −16.7633 5.01777i −0.698473 0.209074i
\(577\) 12.5128 0.520913 0.260457 0.965486i \(-0.416127\pi\)
0.260457 + 0.965486i \(0.416127\pi\)
\(578\) 39.3463 46.4327i 1.63659 1.93135i
\(579\) 4.04577 1.67581i 0.168136 0.0696444i
\(580\) 0.714505 0.118866i 0.0296682 0.00493566i
\(581\) −6.94501 + 16.7667i −0.288127 + 0.695601i
\(582\) 1.55398 4.84667i 0.0644146 0.200901i
\(583\) −24.7147 24.7147i −1.02358 1.02358i
\(584\) 27.1567 6.85556i 1.12375 0.283685i
\(585\) −0.820407 + 0.820407i −0.0339197 + 0.0339197i
\(586\) −0.627004 1.21883i −0.0259013 0.0503494i
\(587\) 37.3410 + 15.4671i 1.54123 + 0.638397i 0.981703 0.190418i \(-0.0609842\pi\)
0.559523 + 0.828815i \(0.310984\pi\)
\(588\) −23.3009 + 14.5291i −0.960914 + 0.599172i
\(589\) 4.97785 + 12.0176i 0.205109 + 0.495176i
\(590\) 1.30545 0.107847i 0.0537445 0.00444000i
\(591\) 16.0434i 0.659935i
\(592\) 1.36903 21.7036i 0.0562667 0.892012i
\(593\) 42.9114i 1.76216i 0.472967 + 0.881080i \(0.343183\pi\)
−0.472967 + 0.881080i \(0.656817\pi\)
\(594\) 2.61061 + 31.6004i 0.107115 + 1.29658i
\(595\) −7.41570 17.9031i −0.304014 0.733955i
\(596\) 8.84433 38.1429i 0.362278 1.56240i
\(597\) 10.9158 + 4.52147i 0.446753 + 0.185051i
\(598\) −6.26417 + 3.22248i −0.256161 + 0.131777i
\(599\) 2.20670 2.20670i 0.0901633 0.0901633i −0.660587 0.750750i \(-0.729692\pi\)
0.750750 + 0.660587i \(0.229692\pi\)
\(600\) −7.18514 9.65085i −0.293332 0.393994i
\(601\) 1.32807 + 1.32807i 0.0541730 + 0.0541730i 0.733674 0.679501i \(-0.237804\pi\)
−0.679501 + 0.733674i \(0.737804\pi\)
\(602\) −32.2181 10.3301i −1.31311 0.421022i
\(603\) −1.05518 + 2.54743i −0.0429702 + 0.103739i
\(604\) 30.2817 + 21.6433i 1.23214 + 0.880654i
\(605\) 5.87461 2.43335i 0.238837 0.0989295i
\(606\) 0.123015 + 0.104240i 0.00499712 + 0.00423447i
\(607\) −2.66391 −0.108125 −0.0540623 0.998538i \(-0.517217\pi\)
−0.0540623 + 0.998538i \(0.517217\pi\)
\(608\) 23.8325 0.463151i 0.966535 0.0187832i
\(609\) −2.90203 −0.117596
\(610\) 1.07302 + 0.909258i 0.0434453 + 0.0368148i
\(611\) −11.4402 + 4.73867i −0.462819 + 0.191706i
\(612\) −19.7094 + 27.5758i −0.796704 + 1.11469i
\(613\) 7.86898 18.9974i 0.317825 0.767298i −0.681544 0.731777i \(-0.738691\pi\)
0.999369 0.0355206i \(-0.0113089\pi\)
\(614\) 36.3785 + 11.6640i 1.46812 + 0.470721i
\(615\) 0.621686 + 0.621686i 0.0250688 + 0.0250688i
\(616\) 9.26514 63.2628i 0.373303 2.54893i
\(617\) −6.06014 + 6.06014i −0.243972 + 0.243972i −0.818491 0.574519i \(-0.805189\pi\)
0.574519 + 0.818491i \(0.305189\pi\)
\(618\) 8.54517 4.39590i 0.343737 0.176829i
\(619\) −33.2626 13.7778i −1.33694 0.553777i −0.404310 0.914622i \(-0.632488\pi\)
−0.932626 + 0.360845i \(0.882488\pi\)
\(620\) −3.19024 0.739733i −0.128123 0.0297084i
\(621\) −8.91420 21.5208i −0.357714 0.863599i
\(622\) 1.22434 + 14.8202i 0.0490917 + 0.594235i
\(623\) 69.0848i 2.76782i
\(624\) 3.23807 + 1.58697i 0.129627 + 0.0635296i
\(625\) 20.8586i 0.834344i
\(626\) −22.6721 + 1.87302i −0.906161 + 0.0748609i
\(627\) −6.96999 16.8270i −0.278354 0.672007i
\(628\) 16.2143 + 26.0035i 0.647022 + 1.03765i
\(629\) −38.9183 16.1205i −1.55177 0.642766i
\(630\) 3.53891 + 6.87929i 0.140994 + 0.274077i
\(631\) −12.3513 + 12.3513i −0.491697 + 0.491697i −0.908841 0.417144i \(-0.863031\pi\)
0.417144 + 0.908841i \(0.363031\pi\)
\(632\) −2.49364 + 4.17782i −0.0991918 + 0.166185i
\(633\) −8.91318 8.91318i −0.354267 0.354267i
\(634\) −3.74163 + 11.6697i −0.148599 + 0.463462i
\(635\) −2.88469 + 6.96427i −0.114476 + 0.276368i
\(636\) −2.15701 12.9658i −0.0855312 0.514127i
\(637\) −14.0705 + 5.82817i −0.557492 + 0.230921i
\(638\) 2.99283 3.53186i 0.118487 0.139828i
\(639\) 2.03157 0.0803676
\(640\) −3.39411 + 4.94931i −0.134164 + 0.195639i
\(641\) 40.1751 1.58682 0.793410 0.608687i \(-0.208303\pi\)
0.793410 + 0.608687i \(0.208303\pi\)
\(642\) −7.57662 + 8.94121i −0.299025 + 0.352882i
\(643\) 24.8735 10.3030i 0.980917 0.406309i 0.166151 0.986100i \(-0.446866\pi\)
0.814765 + 0.579791i \(0.196866\pi\)
\(644\) 7.70823 + 46.3341i 0.303747 + 1.82582i
\(645\) 0.928578 2.24179i 0.0365627 0.0882702i
\(646\) 14.0977 43.9690i 0.554668 1.72994i
\(647\) 5.70074 + 5.70074i 0.224119 + 0.224119i 0.810231 0.586111i \(-0.199342\pi\)
−0.586111 + 0.810231i \(0.699342\pi\)
\(648\) 3.40086 5.69776i 0.133598 0.223829i
\(649\) 5.91985 5.91985i 0.232374 0.232374i
\(650\) −3.05263 5.93400i −0.119734 0.232751i
\(651\) 12.1221 + 5.02115i 0.475104 + 0.196794i
\(652\) 5.30447 + 8.50698i 0.207739 + 0.333159i
\(653\) 12.5493 + 30.2966i 0.491091 + 1.18560i 0.954166 + 0.299279i \(0.0967463\pi\)
−0.463074 + 0.886319i \(0.653254\pi\)
\(654\) 24.0780 1.98916i 0.941525 0.0777824i
\(655\) 6.96053i 0.271970i
\(656\) −3.23647 + 6.60373i −0.126363 + 0.257832i
\(657\) 21.6596i 0.845023i
\(658\) 6.79785 + 82.2852i 0.265008 + 3.20781i
\(659\) −9.80297 23.6665i −0.381869 0.921914i −0.991604 0.129309i \(-0.958724\pi\)
0.609735 0.792605i \(-0.291276\pi\)
\(660\) 4.46698 + 1.03577i 0.173877 + 0.0403175i
\(661\) 19.6300 + 8.13103i 0.763520 + 0.316260i 0.730244 0.683186i \(-0.239406\pi\)
0.0332753 + 0.999446i \(0.489406\pi\)
\(662\) 36.7289 18.8945i 1.42751 0.734354i
\(663\) 4.93925 4.93925i 0.191824 0.191824i
\(664\) 1.57763 10.7721i 0.0612240 0.418040i
\(665\) −7.45194 7.45194i −0.288974 0.288974i
\(666\) 16.0141 + 5.13459i 0.620536 + 0.198961i
\(667\) −1.30147 + 3.14203i −0.0503931 + 0.121660i
\(668\) −8.58326 + 12.0090i −0.332096 + 0.464643i
\(669\) −12.3709 + 5.12418i −0.478285 + 0.198112i
\(670\) 0.721472 + 0.611362i 0.0278729 + 0.0236190i
\(671\) 8.98909 0.347020
\(672\) 16.6684 17.3291i 0.642997 0.668484i
\(673\) −17.6307 −0.679615 −0.339808 0.940495i \(-0.610362\pi\)
−0.339808 + 0.940495i \(0.610362\pi\)
\(674\) −16.6017 14.0680i −0.639474 0.541878i
\(675\) 20.3865 8.44435i 0.784675 0.325023i
\(676\) 1.62712 + 1.16296i 0.0625816 + 0.0447292i
\(677\) 3.91511 9.45192i 0.150470 0.363267i −0.830614 0.556848i \(-0.812010\pi\)
0.981084 + 0.193582i \(0.0620104\pi\)
\(678\) −4.53703 1.45470i −0.174244 0.0558675i
\(679\) −13.3094 13.3094i −0.510768 0.510768i
\(680\) 6.94214 + 9.32446i 0.266219 + 0.357577i
\(681\) −13.1232 + 13.1232i −0.502881 + 0.502881i
\(682\) −18.6124 + 9.57477i −0.712704 + 0.366637i
\(683\) 18.9414 + 7.84580i 0.724774 + 0.300211i 0.714403 0.699735i \(-0.246699\pi\)
0.0103716 + 0.999946i \(0.496699\pi\)
\(684\) −4.16380 + 17.9572i −0.159207 + 0.686610i
\(685\) 3.34483 + 8.07514i 0.127799 + 0.308535i
\(686\) 4.51795 + 54.6880i 0.172496 + 2.08800i
\(687\) 15.0288i 0.573386i
\(688\) 20.2565 + 1.27775i 0.772272 + 0.0487137i
\(689\) 7.28998i 0.277726i
\(690\) −3.35723 + 0.277352i −0.127808 + 0.0105586i
\(691\) −11.5296 27.8350i −0.438608 1.05889i −0.976430 0.215834i \(-0.930753\pi\)
0.537822 0.843058i \(-0.319247\pi\)
\(692\) −27.9655 + 17.4377i −1.06309 + 0.662883i
\(693\) 45.6805 + 18.9215i 1.73526 + 0.718768i
\(694\) −4.60064 8.94318i −0.174638 0.339478i
\(695\) −7.11129 + 7.11129i −0.269747 + 0.269747i
\(696\) 1.68797 0.426118i 0.0639822 0.0161520i
\(697\) 10.0731 + 10.0731i 0.381546 + 0.381546i
\(698\) −4.15505 + 12.9591i −0.157271 + 0.490508i
\(699\) −1.47347 + 3.55728i −0.0557319 + 0.134549i
\(700\) −43.8920 + 7.30195i −1.65896 + 0.275988i
\(701\) 17.9070 7.41731i 0.676337 0.280148i −0.0179578 0.999839i \(-0.505716\pi\)
0.694295 + 0.719691i \(0.255716\pi\)
\(702\) −4.27549 + 5.04553i −0.161368 + 0.190431i
\(703\) −22.9092 −0.864038
\(704\) 3.90009 + 38.1573i 0.146990 + 1.43811i
\(705\) −5.92145 −0.223015
\(706\) 4.50174 5.31252i 0.169425 0.199940i
\(707\) 0.550899 0.228190i 0.0207187 0.00858196i
\(708\) 3.10566 0.516664i 0.116718 0.0194174i
\(709\) −11.5044 + 27.7741i −0.432056 + 1.04308i 0.546567 + 0.837416i \(0.315934\pi\)
−0.978623 + 0.205661i \(0.934066\pi\)
\(710\) 0.212734 0.663490i 0.00798375 0.0249003i
\(711\) −2.66051 2.66051i −0.0997770 0.0997770i
\(712\) 10.1440 + 40.1832i 0.380164 + 1.50593i
\(713\) 10.8728 10.8728i 0.407190 0.407190i
\(714\) −21.3060 41.4166i −0.797356 1.54998i
\(715\) 2.34964 + 0.973251i 0.0878714 + 0.0363975i
\(716\) −1.41293 + 0.881022i −0.0528036 + 0.0329253i
\(717\) −5.61119 13.5466i −0.209554 0.505907i
\(718\) −3.73262 + 0.308364i −0.139300 + 0.0115080i
\(719\) 10.9616i 0.408800i −0.978887 0.204400i \(-0.934476\pi\)
0.978887 0.204400i \(-0.0655242\pi\)
\(720\) −3.06853 3.48171i −0.114357 0.129756i
\(721\) 35.5374i 1.32348i
\(722\) 0.144809 + 1.75286i 0.00538924 + 0.0652345i
\(723\) 1.03643 + 2.50217i 0.0385453 + 0.0930567i
\(724\) 1.87212 8.07387i 0.0695766 0.300063i
\(725\) −2.97642 1.23287i −0.110541 0.0457877i
\(726\) 13.5902 6.99122i 0.504380 0.259469i
\(727\) −24.0210 + 24.0210i −0.890889 + 0.890889i −0.994607 0.103718i \(-0.966926\pi\)
0.103718 + 0.994607i \(0.466926\pi\)
\(728\) 10.6966 7.96371i 0.396443 0.295155i
\(729\) −5.31466 5.31466i −0.196839 0.196839i
\(730\) 7.07382 + 2.26807i 0.261814 + 0.0839450i
\(731\) 15.0457 36.3234i 0.556484 1.34347i
\(732\) 2.75019 + 1.96565i 0.101650 + 0.0726526i
\(733\) 1.04855 0.434324i 0.0387291 0.0160421i −0.363235 0.931698i \(-0.618328\pi\)
0.401964 + 0.915656i \(0.368328\pi\)
\(734\) −19.2594 16.3201i −0.710878 0.602385i
\(735\) −7.28290 −0.268634
\(736\) −11.2870 25.8184i −0.416043 0.951681i
\(737\) 6.04404 0.222635
\(738\) −4.33885 3.67666i −0.159715 0.135340i
\(739\) −26.6229 + 11.0276i −0.979340 + 0.405656i −0.814181 0.580611i \(-0.802814\pi\)
−0.165159 + 0.986267i \(0.552814\pi\)
\(740\) 3.35381 4.69240i 0.123289 0.172496i
\(741\) 1.45374 3.50964i 0.0534045 0.128930i
\(742\) −46.2871 14.8410i −1.69925 0.544829i
\(743\) −14.7874 14.7874i −0.542496 0.542496i 0.381764 0.924260i \(-0.375317\pi\)
−0.924260 + 0.381764i \(0.875317\pi\)
\(744\) −7.78813 1.14061i −0.285527 0.0418167i
\(745\) 7.34314 7.34314i 0.269032 0.269032i
\(746\) −15.7144 + 8.08394i −0.575343 + 0.295974i
\(747\) 7.77830 + 3.22188i 0.284593 + 0.117882i
\(748\) 72.3781 + 16.7826i 2.64640 + 0.613631i
\(749\) 16.5858 + 40.0416i 0.606031 + 1.46309i
\(750\) −0.541133 6.55020i −0.0197594 0.239180i
\(751\) 42.2832i 1.54294i −0.636267 0.771469i \(-0.719522\pi\)
0.636267 0.771469i \(-0.280478\pi\)
\(752\) −16.0363 46.8631i −0.584783 1.70892i
\(753\) 4.82968i 0.176003i
\(754\) 0.962278 0.0794969i 0.0350441 0.00289511i
\(755\) 3.77781 + 9.12043i 0.137488 + 0.331926i
\(756\) 23.3321 + 37.4186i 0.848580 + 1.36090i
\(757\) −17.7538 7.35389i −0.645275 0.267282i 0.0359526 0.999353i \(-0.488553\pi\)
−0.681227 + 0.732072i \(0.738553\pi\)
\(758\) 24.0227 + 46.6976i 0.872543 + 1.69613i
\(759\) −15.2241 + 15.2241i −0.552601 + 0.552601i
\(760\) 5.42863 + 3.24022i 0.196917 + 0.117535i
\(761\) 27.0746 + 27.0746i 0.981454 + 0.981454i 0.999831 0.0183769i \(-0.00584986\pi\)
−0.0183769 + 0.999831i \(0.505850\pi\)
\(762\) −5.53170 + 17.2527i −0.200393 + 0.624999i
\(763\) 34.1915 82.5456i 1.23782 2.98835i
\(764\) −3.78971 22.7799i −0.137107 0.824148i
\(765\) −8.30547 + 3.44024i −0.300285 + 0.124382i
\(766\) −23.9074 + 28.2133i −0.863810 + 1.01939i
\(767\) 1.74615 0.0630498
\(768\) −7.15067 + 12.5270i −0.258028 + 0.452028i
\(769\) −20.2924 −0.731762 −0.365881 0.930662i \(-0.619232\pi\)
−0.365881 + 0.930662i