Properties

Label 78.2.k.a.41.4
Level $78$
Weight $2$
Character 78.41
Analytic conductor $0.623$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 78 = 2 \cdot 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 78.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.622833135766\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: 16.0.9349208943630483456.9
Defining polynomial: \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + 9297 x^{8} - 11276 x^{7} + 11224 x^{6} - 9024 x^{5} + 5736 x^{4} - 2780 x^{3} + \cdots + 25 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 41.4
Root \(0.500000 + 1.00333i\) of defining polynomial
Character \(\chi\) \(=\) 78.41
Dual form 78.2.k.a.59.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(1.45865 + 0.933998i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.428520 - 0.428520i) q^{5} +(1.27970 - 1.16721i) q^{6} +(-0.735180 + 0.196991i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(1.25529 + 2.72474i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(1.45865 + 0.933998i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.428520 - 0.428520i) q^{5} +(1.27970 - 1.16721i) q^{6} +(-0.735180 + 0.196991i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(1.25529 + 2.72474i) q^{9} +(-0.524827 + 0.303009i) q^{10} +(-4.05922 - 1.08766i) q^{11} +(-0.796225 - 1.53819i) q^{12} +(0.601205 - 3.55507i) q^{13} +0.761114i q^{14} +(-0.224822 - 1.02529i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-2.62362 + 4.54424i) q^{17} +(2.95680 - 0.507306i) q^{18} +(0.882911 + 3.29507i) q^{19} +(0.156849 + 0.585369i) q^{20} +(-1.25636 - 0.399317i) q^{21} +(-2.10121 + 3.63939i) q^{22} +(0.933306 + 1.61653i) q^{23} +(-1.69185 + 0.370982i) q^{24} -4.63274i q^{25} +(-3.27833 - 1.50084i) q^{26} +(-0.713876 + 5.14688i) q^{27} +(0.735180 + 0.196991i) q^{28} +(7.53987 - 4.35315i) q^{29} +(-1.04855 - 0.0482047i) q^{30} +(-2.68240 + 2.68240i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-4.90508 - 5.37782i) q^{33} +(3.71035 + 3.71035i) q^{34} +(0.399453 + 0.230625i) q^{35} +(0.275255 - 2.98735i) q^{36} +(1.52130 - 5.67758i) q^{37} +3.41130 q^{38} +(4.19738 - 4.62407i) q^{39} +0.606018 q^{40} +(2.29545 - 8.56672i) q^{41} +(-0.710879 + 1.11020i) q^{42} +(1.68905 + 0.975173i) q^{43} +(2.97155 + 2.97155i) q^{44} +(0.629688 - 1.70553i) q^{45} +(1.80301 - 0.483115i) q^{46} +(5.73474 - 5.73474i) q^{47} +(-0.0795432 + 1.73022i) q^{48} +(-5.56049 + 3.21035i) q^{49} +(-4.47488 - 1.19904i) q^{50} +(-8.07123 + 4.17798i) q^{51} +(-2.29820 + 2.77818i) q^{52} +9.01501i q^{53} +(4.78674 + 2.02166i) q^{54} +(1.27337 + 2.20554i) q^{55} +(0.380557 - 0.659144i) q^{56} +(-1.78973 + 5.63097i) q^{57} +(-2.25335 - 8.40963i) q^{58} +(2.23614 + 8.34539i) q^{59} +(-0.317946 + 1.00034i) q^{60} +(4.06531 - 7.04132i) q^{61} +(1.89674 + 3.28525i) q^{62} +(-1.45962 - 1.75590i) q^{63} -1.00000i q^{64} +(-1.78105 + 1.26579i) q^{65} +(-6.46410 + 3.34607i) q^{66} +(-0.101205 - 0.0271179i) q^{67} +(4.54424 - 2.62362i) q^{68} +(-0.148476 + 3.22966i) q^{69} +(0.326152 - 0.326152i) q^{70} +(-10.0749 + 2.69957i) q^{71} +(-2.81431 - 1.03906i) q^{72} +(5.57806 + 5.57806i) q^{73} +(-5.09038 - 2.93893i) q^{74} +(4.32697 - 6.75753i) q^{75} +(0.882911 - 3.29507i) q^{76} +3.19851 q^{77} +(-3.38015 - 5.25115i) q^{78} -13.5805 q^{79} +(0.156849 - 0.585369i) q^{80} +(-5.84847 + 6.84072i) q^{81} +(-7.68071 - 4.43446i) q^{82} +(0.996926 + 0.996926i) q^{83} +(0.888378 + 0.973996i) q^{84} +(3.07156 - 0.823023i) q^{85} +(1.37910 - 1.37910i) q^{86} +(15.0638 + 0.692527i) q^{87} +(3.63939 - 2.10121i) q^{88} +(-6.32442 - 1.69462i) q^{89} +(-1.48444 - 1.04965i) q^{90} +(0.258323 + 2.73205i) q^{91} -1.86661i q^{92} +(-6.41802 + 1.40731i) q^{93} +(-4.05507 - 7.02359i) q^{94} +(1.03366 - 1.79035i) q^{95} +(1.65068 + 0.524648i) q^{96} +(4.07638 + 15.2132i) q^{97} +(1.66180 + 6.20192i) q^{98} +(-2.13191 - 12.4257i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{7} - 24 q^{10} - 24 q^{13} + 8 q^{16} - 16 q^{19} - 24 q^{21} - 8 q^{28} + 24 q^{30} + 16 q^{31} - 24 q^{33} + 24 q^{34} + 24 q^{36} + 16 q^{37} + 48 q^{39} + 24 q^{45} + 24 q^{46} + 24 q^{49} - 8 q^{52} - 24 q^{55} - 24 q^{57} - 24 q^{60} - 24 q^{61} - 24 q^{63} - 48 q^{66} + 32 q^{67} - 48 q^{69} - 24 q^{72} + 56 q^{73} - 16 q^{76} - 96 q^{79} + 24 q^{81} - 48 q^{82} - 24 q^{85} + 48 q^{87} - 16 q^{91} - 24 q^{93} - 24 q^{94} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).

\(n\) \(53\) \(67\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{12}\right)\)

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:
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\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 1.45865 + 0.933998i 0.842150 + 0.539244i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.428520 0.428520i −0.191640 0.191640i 0.604765 0.796404i \(-0.293267\pi\)
−0.796404 + 0.604765i \(0.793267\pi\)
\(6\) 1.27970 1.16721i 0.522435 0.476510i
\(7\) −0.735180 + 0.196991i −0.277872 + 0.0744555i −0.395064 0.918654i \(-0.629277\pi\)
0.117192 + 0.993109i \(0.462611\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 1.25529 + 2.72474i 0.418432 + 0.908248i
\(10\) −0.524827 + 0.303009i −0.165965 + 0.0958199i
\(11\) −4.05922 1.08766i −1.22390 0.327943i −0.411699 0.911320i \(-0.635064\pi\)
−0.812201 + 0.583377i \(0.801731\pi\)
\(12\) −0.796225 1.53819i −0.229850 0.444037i
\(13\) 0.601205 3.55507i 0.166744 0.986000i
\(14\) 0.761114i 0.203416i
\(15\) −0.224822 1.02529i −0.0580487 0.264730i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −2.62362 + 4.54424i −0.636320 + 1.10214i 0.349914 + 0.936782i \(0.386211\pi\)
−0.986234 + 0.165357i \(0.947122\pi\)
\(18\) 2.95680 0.507306i 0.696923 0.119573i
\(19\) 0.882911 + 3.29507i 0.202554 + 0.755940i 0.990181 + 0.139789i \(0.0446424\pi\)
−0.787628 + 0.616151i \(0.788691\pi\)
\(20\) 0.156849 + 0.585369i 0.0350725 + 0.130892i
\(21\) −1.25636 0.399317i −0.274159 0.0871381i
\(22\) −2.10121 + 3.63939i −0.447978 + 0.775921i
\(23\) 0.933306 + 1.61653i 0.194608 + 0.337071i 0.946772 0.321905i \(-0.104323\pi\)
−0.752164 + 0.658976i \(0.770990\pi\)
\(24\) −1.69185 + 0.370982i −0.345348 + 0.0757264i
\(25\) 4.63274i 0.926548i
\(26\) −3.27833 1.50084i −0.642934 0.294339i
\(27\) −0.713876 + 5.14688i −0.137386 + 0.990518i
\(28\) 0.735180 + 0.196991i 0.138936 + 0.0372278i
\(29\) 7.53987 4.35315i 1.40012 0.808359i 0.405715 0.914000i \(-0.367023\pi\)
0.994404 + 0.105641i \(0.0336893\pi\)
\(30\) −1.04855 0.0482047i −0.191438 0.00880093i
\(31\) −2.68240 + 2.68240i −0.481773 + 0.481773i −0.905697 0.423925i \(-0.860652\pi\)
0.423925 + 0.905697i \(0.360652\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) −4.90508 5.37782i −0.853865 0.936158i
\(34\) 3.71035 + 3.71035i 0.636320 + 0.636320i
\(35\) 0.399453 + 0.230625i 0.0675200 + 0.0389827i
\(36\) 0.275255 2.98735i 0.0458759 0.497891i
\(37\) 1.52130 5.67758i 0.250101 0.933389i −0.720650 0.693299i \(-0.756156\pi\)
0.970751 0.240090i \(-0.0771769\pi\)
\(38\) 3.41130 0.553387
\(39\) 4.19738 4.62407i 0.672118 0.740444i
\(40\) 0.606018 0.0958199
\(41\) 2.29545 8.56672i 0.358488 1.33790i −0.517549 0.855654i \(-0.673155\pi\)
0.876037 0.482243i \(-0.160178\pi\)
\(42\) −0.710879 + 1.11020i −0.109691 + 0.171307i
\(43\) 1.68905 + 0.975173i 0.257578 + 0.148712i 0.623229 0.782039i \(-0.285820\pi\)
−0.365651 + 0.930752i \(0.619154\pi\)
\(44\) 2.97155 + 2.97155i 0.447978 + 0.447978i
\(45\) 0.629688 1.70553i 0.0938684 0.254245i
\(46\) 1.80301 0.483115i 0.265839 0.0712314i
\(47\) 5.73474 5.73474i 0.836498 0.836498i −0.151898 0.988396i \(-0.548539\pi\)
0.988396 + 0.151898i \(0.0485386\pi\)
\(48\) −0.0795432 + 1.73022i −0.0114811 + 0.249736i
\(49\) −5.56049 + 3.21035i −0.794356 + 0.458622i
\(50\) −4.47488 1.19904i −0.632844 0.169570i
\(51\) −8.07123 + 4.17798i −1.13020 + 0.585034i
\(52\) −2.29820 + 2.77818i −0.318702 + 0.385265i
\(53\) 9.01501i 1.23831i 0.785270 + 0.619153i \(0.212524\pi\)
−0.785270 + 0.619153i \(0.787476\pi\)
\(54\) 4.78674 + 2.02166i 0.651393 + 0.275113i
\(55\) 1.27337 + 2.20554i 0.171701 + 0.297395i
\(56\) 0.380557 0.659144i 0.0508541 0.0880819i
\(57\) −1.78973 + 5.63097i −0.237056 + 0.745841i
\(58\) −2.25335 8.40963i −0.295880 1.10424i
\(59\) 2.23614 + 8.34539i 0.291121 + 1.08648i 0.944249 + 0.329231i \(0.106789\pi\)
−0.653129 + 0.757247i \(0.726544\pi\)
\(60\) −0.317946 + 1.00034i −0.0410467 + 0.129144i
\(61\) 4.06531 7.04132i 0.520509 0.901548i −0.479206 0.877702i \(-0.659075\pi\)
0.999716 0.0238462i \(-0.00759119\pi\)
\(62\) 1.89674 + 3.28525i 0.240886 + 0.417227i
\(63\) −1.45962 1.75590i −0.183894 0.221222i
\(64\) 1.00000i 0.125000i
\(65\) −1.78105 + 1.26579i −0.220912 + 0.157002i
\(66\) −6.46410 + 3.34607i −0.795676 + 0.411872i
\(67\) −0.101205 0.0271179i −0.0123642 0.00331297i 0.252632 0.967563i \(-0.418704\pi\)
−0.264996 + 0.964250i \(0.585371\pi\)
\(68\) 4.54424 2.62362i 0.551069 0.318160i
\(69\) −0.148476 + 3.22966i −0.0178745 + 0.388805i
\(70\) 0.326152 0.326152i 0.0389827 0.0389827i
\(71\) −10.0749 + 2.69957i −1.19567 + 0.320380i −0.801126 0.598496i \(-0.795765\pi\)
−0.394548 + 0.918875i \(0.629099\pi\)
\(72\) −2.81431 1.03906i −0.331670 0.122454i
\(73\) 5.57806 + 5.57806i 0.652863 + 0.652863i 0.953681 0.300819i \(-0.0972599\pi\)
−0.300819 + 0.953681i \(0.597260\pi\)
\(74\) −5.09038 2.93893i −0.591745 0.341644i
\(75\) 4.32697 6.75753i 0.499636 0.780292i
\(76\) 0.882911 3.29507i 0.101277 0.377970i
\(77\) 3.19851 0.364505
\(78\) −3.38015 5.25115i −0.382726 0.594576i
\(79\) −13.5805 −1.52793 −0.763963 0.645260i \(-0.776749\pi\)
−0.763963 + 0.645260i \(0.776749\pi\)
\(80\) 0.156849 0.585369i 0.0175363 0.0654462i
\(81\) −5.84847 + 6.84072i −0.649830 + 0.760080i
\(82\) −7.68071 4.43446i −0.848193 0.489704i
\(83\) 0.996926 + 0.996926i 0.109427 + 0.109427i 0.759700 0.650273i \(-0.225346\pi\)
−0.650273 + 0.759700i \(0.725346\pi\)
\(84\) 0.888378 + 0.973996i 0.0969300 + 0.106272i
\(85\) 3.07156 0.823023i 0.333158 0.0892694i
\(86\) 1.37910 1.37910i 0.148712 0.148712i
\(87\) 15.0638 + 0.692527i 1.61501 + 0.0742467i
\(88\) 3.63939 2.10121i 0.387961 0.223989i
\(89\) −6.32442 1.69462i −0.670388 0.179630i −0.0924582 0.995717i \(-0.529472\pi\)
−0.577929 + 0.816087i \(0.696139\pi\)
\(90\) −1.48444 1.04965i −0.156473 0.110643i
\(91\) 0.258323 + 2.73205i 0.0270796 + 0.286397i
\(92\) 1.86661i 0.194608i
\(93\) −6.41802 + 1.40731i −0.665518 + 0.145932i
\(94\) −4.05507 7.02359i −0.418249 0.724428i
\(95\) 1.03366 1.79035i 0.106051 0.183686i
\(96\) 1.65068 + 0.524648i 0.168472 + 0.0535466i
\(97\) 4.07638 + 15.2132i 0.413893 + 1.54467i 0.787042 + 0.616900i \(0.211612\pi\)
−0.373148 + 0.927772i \(0.621722\pi\)
\(98\) 1.66180 + 6.20192i 0.167867 + 0.626489i
\(99\) −2.13191 12.4257i −0.214265 1.24883i
\(100\) −2.31637 + 4.01207i −0.231637 + 0.401207i
\(101\) −1.63630 2.83416i −0.162818 0.282009i 0.773060 0.634333i \(-0.218725\pi\)
−0.935878 + 0.352323i \(0.885392\pi\)
\(102\) 1.94663 + 8.87755i 0.192745 + 0.879009i
\(103\) 4.79880i 0.472840i 0.971651 + 0.236420i \(0.0759741\pi\)
−0.971651 + 0.236420i \(0.924026\pi\)
\(104\) 2.08870 + 2.93893i 0.204814 + 0.288186i
\(105\) 0.367258 + 0.709488i 0.0358407 + 0.0692390i
\(106\) 8.70783 + 2.33326i 0.845779 + 0.226626i
\(107\) 2.70638 1.56253i 0.261635 0.151055i −0.363445 0.931616i \(-0.618400\pi\)
0.625080 + 0.780560i \(0.285066\pi\)
\(108\) 3.19168 4.10039i 0.307119 0.394560i
\(109\) −0.913996 + 0.913996i −0.0875449 + 0.0875449i −0.749523 0.661978i \(-0.769717\pi\)
0.661978 + 0.749523i \(0.269717\pi\)
\(110\) 2.45996 0.659144i 0.234548 0.0628469i
\(111\) 7.52190 6.86069i 0.713947 0.651188i
\(112\) −0.538189 0.538189i −0.0508541 0.0508541i
\(113\) −6.03730 3.48564i −0.567942 0.327901i 0.188385 0.982095i \(-0.439675\pi\)
−0.756327 + 0.654194i \(0.773008\pi\)
\(114\) 4.97588 + 3.18615i 0.466034 + 0.298410i
\(115\) 0.292776 1.09266i 0.0273015 0.101891i
\(116\) −8.70629 −0.808359
\(117\) 10.4414 2.82454i 0.965304 0.261128i
\(118\) 8.63979 0.795357
\(119\) 1.03366 3.85766i 0.0947551 0.353631i
\(120\) 0.883966 + 0.566020i 0.0806947 + 0.0516703i
\(121\) 5.76795 + 3.33013i 0.524359 + 0.302739i
\(122\) −5.74921 5.74921i −0.520509 0.520509i
\(123\) 11.3495 10.3519i 1.02335 0.933397i
\(124\) 3.66422 0.981825i 0.329057 0.0881705i
\(125\) −4.12782 + 4.12782i −0.369203 + 0.369203i
\(126\) −2.07384 + 0.955423i −0.184753 + 0.0851158i
\(127\) −1.93554 + 1.11748i −0.171751 + 0.0991607i −0.583411 0.812177i \(-0.698282\pi\)
0.411660 + 0.911337i \(0.364949\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) 1.55291 + 3.00000i 0.136726 + 0.264135i
\(130\) 0.761691 + 2.04797i 0.0668047 + 0.179619i
\(131\) 22.0856i 1.92963i −0.262938 0.964813i \(-0.584692\pi\)
0.262938 0.964813i \(-0.415308\pi\)
\(132\) 1.55902 + 7.10987i 0.135695 + 0.618835i
\(133\) −1.29820 2.24854i −0.112568 0.194973i
\(134\) −0.0523877 + 0.0907381i −0.00452561 + 0.00783858i
\(135\) 2.51145 1.89963i 0.216151 0.163494i
\(136\) −1.35808 5.06844i −0.116455 0.434615i
\(137\) 2.58408 + 9.64392i 0.220773 + 0.823935i 0.984054 + 0.177869i \(0.0569204\pi\)
−0.763281 + 0.646066i \(0.776413\pi\)
\(138\) 3.08118 + 0.979314i 0.262287 + 0.0833647i
\(139\) 1.88252 3.26061i 0.159673 0.276562i −0.775078 0.631866i \(-0.782289\pi\)
0.934751 + 0.355304i \(0.115623\pi\)
\(140\) −0.230625 0.399453i −0.0194913 0.0337600i
\(141\) 13.7212 3.00872i 1.15553 0.253380i
\(142\) 10.4303i 0.875294i
\(143\) −6.30715 + 13.7769i −0.527430 + 1.15208i
\(144\) −1.73205 + 2.44949i −0.144338 + 0.204124i
\(145\) −5.09639 1.36557i −0.423232 0.113405i
\(146\) 6.83170 3.94429i 0.565396 0.326431i
\(147\) −11.1093 0.510724i −0.916276 0.0421238i
\(148\) −4.15628 + 4.15628i −0.341644 + 0.341644i
\(149\) −8.42964 + 2.25872i −0.690583 + 0.185041i −0.587009 0.809581i \(-0.699695\pi\)
−0.103574 + 0.994622i \(0.533028\pi\)
\(150\) −5.40737 5.92851i −0.441510 0.484061i
\(151\) −17.3671 17.3671i −1.41331 1.41331i −0.731885 0.681429i \(-0.761359\pi\)
−0.681429 0.731885i \(-0.738641\pi\)
\(152\) −2.95428 1.70565i −0.239623 0.138347i
\(153\) −15.6753 1.44433i −1.26727 0.116767i
\(154\) 0.827836 3.08953i 0.0667090 0.248961i
\(155\) 2.29892 0.184654
\(156\) −5.94707 + 1.90587i −0.476147 + 0.152592i
\(157\) 11.0713 0.883589 0.441794 0.897116i \(-0.354342\pi\)
0.441794 + 0.897116i \(0.354342\pi\)
\(158\) −3.51489 + 13.1178i −0.279630 + 1.04359i
\(159\) −8.42000 + 13.1497i −0.667750 + 1.04284i
\(160\) −0.524827 0.303009i −0.0414912 0.0239550i
\(161\) −1.00459 1.00459i −0.0791728 0.0791728i
\(162\) 5.09393 + 7.41970i 0.400217 + 0.582946i
\(163\) −5.07638 + 1.36021i −0.397613 + 0.106540i −0.452084 0.891975i \(-0.649319\pi\)
0.0544714 + 0.998515i \(0.482653\pi\)
\(164\) −6.27128 + 6.27128i −0.489704 + 0.489704i
\(165\) −0.202576 + 4.40643i −0.0157705 + 0.343040i
\(166\) 1.22098 0.704933i 0.0947664 0.0547134i
\(167\) 15.1927 + 4.07088i 1.17565 + 0.315014i 0.793200 0.608962i \(-0.208414\pi\)
0.382450 + 0.923976i \(0.375080\pi\)
\(168\) 1.17074 0.606018i 0.0903244 0.0467553i
\(169\) −12.2771 4.27466i −0.944393 0.328820i
\(170\) 3.17992i 0.243889i
\(171\) −7.86990 + 6.54199i −0.601827 + 0.500278i
\(172\) −0.975173 1.68905i −0.0743562 0.128789i
\(173\) 2.71186 4.69708i 0.206179 0.357113i −0.744329 0.667813i \(-0.767230\pi\)
0.950508 + 0.310701i \(0.100564\pi\)
\(174\) 4.56774 14.3713i 0.346279 1.08949i
\(175\) 0.912608 + 3.40590i 0.0689867 + 0.257462i
\(176\) −1.08766 4.05922i −0.0819857 0.305975i
\(177\) −4.53284 + 14.2615i −0.340709 + 1.07196i
\(178\) −3.27376 + 5.67032i −0.245379 + 0.425009i
\(179\) 5.19042 + 8.99007i 0.387950 + 0.671949i 0.992174 0.124866i \(-0.0398500\pi\)
−0.604224 + 0.796815i \(0.706517\pi\)
\(180\) −1.39809 + 1.16218i −0.104207 + 0.0866241i
\(181\) 11.1172i 0.826335i −0.910655 0.413167i \(-0.864422\pi\)
0.910655 0.413167i \(-0.135578\pi\)
\(182\) 2.70582 + 0.457586i 0.200569 + 0.0339185i
\(183\) 12.5064 6.47380i 0.924501 0.478557i
\(184\) −1.80301 0.483115i −0.132920 0.0356157i
\(185\) −3.08486 + 1.78105i −0.226804 + 0.130945i
\(186\) −0.301746 + 6.56357i −0.0221251 + 0.481264i
\(187\) 15.5924 15.5924i 1.14023 1.14023i
\(188\) −7.83380 + 2.09906i −0.571339 + 0.153090i
\(189\) −0.489061 3.92451i −0.0355740 0.285466i
\(190\) −1.46181 1.46181i −0.106051 0.106051i
\(191\) −4.96444 2.86622i −0.359214 0.207392i 0.309522 0.950892i \(-0.399831\pi\)
−0.668736 + 0.743500i \(0.733164\pi\)
\(192\) 0.933998 1.45865i 0.0674055 0.105269i
\(193\) −2.93615 + 10.9578i −0.211348 + 0.788763i 0.776072 + 0.630645i \(0.217209\pi\)
−0.987420 + 0.158118i \(0.949457\pi\)
\(194\) 15.7499 1.13078
\(195\) −3.78016 + 0.182846i −0.270703 + 0.0130938i
\(196\) 6.42071 0.458622
\(197\) 1.21210 4.52361i 0.0863584 0.322294i −0.909210 0.416339i \(-0.863313\pi\)
0.995568 + 0.0940449i \(0.0299797\pi\)
\(198\) −12.5541 1.15674i −0.892178 0.0822056i
\(199\) 11.1741 + 6.45135i 0.792108 + 0.457324i 0.840704 0.541495i \(-0.182141\pi\)
−0.0485961 + 0.998819i \(0.515475\pi\)
\(200\) 3.27584 + 3.27584i 0.231637 + 0.231637i
\(201\) −0.122295 0.134081i −0.00862599 0.00945734i
\(202\) −3.16109 + 0.847012i −0.222414 + 0.0595956i
\(203\) −4.68563 + 4.68563i −0.328867 + 0.328867i
\(204\) 9.07888 + 0.417382i 0.635649 + 0.0292226i
\(205\) −4.65465 + 2.68736i −0.325095 + 0.187694i
\(206\) 4.63529 + 1.24202i 0.322956 + 0.0865357i
\(207\) −3.23307 + 4.57225i −0.224714 + 0.317793i
\(208\) 3.37939 1.25688i 0.234318 0.0871488i
\(209\) 14.3357i 0.991621i
\(210\) 0.780367 0.171115i 0.0538504 0.0118081i
\(211\) 2.63979 + 4.57225i 0.181731 + 0.314767i 0.942470 0.334291i \(-0.108497\pi\)
−0.760739 + 0.649057i \(0.775163\pi\)
\(212\) 4.50750 7.80723i 0.309577 0.536203i
\(213\) −17.2171 5.47225i −1.17970 0.374952i
\(214\) −0.808823 3.01857i −0.0552900 0.206345i
\(215\) −0.305910 1.14167i −0.0208629 0.0778613i
\(216\) −3.13461 4.14418i −0.213283 0.281976i
\(217\) 1.44364 2.50045i 0.0980004 0.169742i
\(218\) 0.646293 + 1.11941i 0.0437725 + 0.0758161i
\(219\) 2.92652 + 13.3463i 0.197756 + 0.901860i
\(220\) 2.54674i 0.171701i
\(221\) 14.5778 + 12.0592i 0.980606 + 0.811187i
\(222\) −4.68011 9.04127i −0.314108 0.606810i
\(223\) −3.42925 0.918866i −0.229640 0.0615318i 0.142164 0.989843i \(-0.454594\pi\)
−0.371804 + 0.928311i \(0.621261\pi\)
\(224\) −0.659144 + 0.380557i −0.0440409 + 0.0254270i
\(225\) 12.6230 5.81546i 0.841536 0.387697i
\(226\) −4.92944 + 4.92944i −0.327901 + 0.327901i
\(227\) 4.85544 1.30101i 0.322267 0.0863512i −0.0940589 0.995567i \(-0.529984\pi\)
0.416326 + 0.909215i \(0.363318\pi\)
\(228\) 4.36544 3.98170i 0.289108 0.263694i
\(229\) 11.3889 + 11.3889i 0.752602 + 0.752602i 0.974964 0.222362i \(-0.0713767\pi\)
−0.222362 + 0.974964i \(0.571377\pi\)
\(230\) −0.979649 0.565601i −0.0645961 0.0372946i
\(231\) 4.66550 + 2.98741i 0.306967 + 0.196557i
\(232\) −2.25335 + 8.40963i −0.147940 + 0.552120i
\(233\) 22.3807 1.46621 0.733103 0.680117i \(-0.238071\pi\)
0.733103 + 0.680117i \(0.238071\pi\)
\(234\) −0.0258691 10.8166i −0.00169112 0.707105i
\(235\) −4.91490 −0.320613
\(236\) 2.23614 8.34539i 0.145560 0.543239i
\(237\) −19.8092 12.6842i −1.28674 0.823925i
\(238\) −3.45868 1.99687i −0.224193 0.129438i
\(239\) −6.08236 6.08236i −0.393435 0.393435i 0.482475 0.875910i \(-0.339738\pi\)
−0.875910 + 0.482475i \(0.839738\pi\)
\(240\) 0.775521 0.707349i 0.0500596 0.0456592i
\(241\) 5.93615 1.59059i 0.382381 0.102459i −0.0625080 0.998044i \(-0.519910\pi\)
0.444889 + 0.895586i \(0.353243\pi\)
\(242\) 4.70951 4.70951i 0.302739 0.302739i
\(243\) −14.9201 + 4.51572i −0.957122 + 0.289684i
\(244\) −7.04132 + 4.06531i −0.450774 + 0.260255i
\(245\) 3.75848 + 1.00708i 0.240120 + 0.0643401i
\(246\) −7.06166 13.6421i −0.450235 0.869787i
\(247\) 12.2450 1.15780i 0.779132 0.0736691i
\(248\) 3.79348i 0.240886i
\(249\) 0.523035 + 2.38529i 0.0331460 + 0.151162i
\(250\) 2.91881 + 5.05553i 0.184602 + 0.319739i
\(251\) 6.27808 10.8740i 0.396269 0.686358i −0.596993 0.802246i \(-0.703638\pi\)
0.993262 + 0.115888i \(0.0369714\pi\)
\(252\) 0.386118 + 2.25046i 0.0243231 + 0.141766i
\(253\) −2.03025 7.57698i −0.127641 0.476361i
\(254\) 0.578452 + 2.15881i 0.0362953 + 0.135456i
\(255\) 5.24903 + 1.66834i 0.328707 + 0.104475i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −2.36891 4.10307i −0.147768 0.255942i 0.782634 0.622482i \(-0.213876\pi\)
−0.930402 + 0.366540i \(0.880542\pi\)
\(258\) 3.29970 0.723543i 0.205430 0.0450458i
\(259\) 4.47373i 0.277984i
\(260\) 2.17533 0.205683i 0.134908 0.0127559i
\(261\) 21.3260 + 15.0797i 1.32004 + 0.933413i
\(262\) −21.3330 5.71617i −1.31796 0.353146i
\(263\) −4.90945 + 2.83447i −0.302730 + 0.174781i −0.643668 0.765304i \(-0.722588\pi\)
0.340939 + 0.940085i \(0.389255\pi\)
\(264\) 7.27111 + 0.334273i 0.447506 + 0.0205731i
\(265\) 3.86311 3.86311i 0.237309 0.237309i
\(266\) −2.50792 + 0.671996i −0.153771 + 0.0412027i
\(267\) −7.64232 8.37886i −0.467702 0.512778i
\(268\) 0.0740874 + 0.0740874i 0.00452561 + 0.00452561i
\(269\) −6.32711 3.65296i −0.385770 0.222725i 0.294555 0.955634i \(-0.404828\pi\)
−0.680326 + 0.732910i \(0.738162\pi\)
\(270\) −1.18489 2.91753i −0.0721101 0.177555i
\(271\) −6.34829 + 23.6922i −0.385631 + 1.43920i 0.451538 + 0.892252i \(0.350876\pi\)
−0.837169 + 0.546944i \(0.815791\pi\)
\(272\) −5.24723 −0.318160
\(273\) −2.17493 + 4.22637i −0.131633 + 0.255791i
\(274\) 9.98412 0.603162
\(275\) −5.03887 + 18.8053i −0.303855 + 1.13400i
\(276\) 1.74341 2.72273i 0.104941 0.163889i
\(277\) −7.57448 4.37313i −0.455107 0.262756i 0.254878 0.966973i \(-0.417965\pi\)
−0.709984 + 0.704217i \(0.751298\pi\)
\(278\) −2.66228 2.66228i −0.159673 0.159673i
\(279\) −10.6760 3.94165i −0.639158 0.235980i
\(280\) −0.445532 + 0.119380i −0.0266257 + 0.00713432i
\(281\) −9.49571 + 9.49571i −0.566467 + 0.566467i −0.931137 0.364670i \(-0.881182\pi\)
0.364670 + 0.931137i \(0.381182\pi\)
\(282\) 0.645107 14.0324i 0.0384156 0.835615i
\(283\) 27.2245 15.7181i 1.61833 0.934342i 0.630975 0.775803i \(-0.282655\pi\)
0.987353 0.158539i \(-0.0506782\pi\)
\(284\) 10.0749 + 2.69957i 0.597837 + 0.160190i
\(285\) 3.17992 1.64605i 0.188362 0.0975034i
\(286\) 11.6751 + 9.65796i 0.690361 + 0.571087i
\(287\) 6.75026i 0.398455i
\(288\) 1.91774 + 2.30701i 0.113004 + 0.135942i
\(289\) −5.26672 9.12222i −0.309807 0.536601i
\(290\) −2.63809 + 4.56930i −0.154914 + 0.268319i
\(291\) −8.26316 + 25.9981i −0.484395 + 1.52403i
\(292\) −2.04171 7.61977i −0.119482 0.445914i
\(293\) 0.542185 + 2.02346i 0.0316748 + 0.118212i 0.979953 0.199228i \(-0.0638435\pi\)
−0.948278 + 0.317440i \(0.897177\pi\)
\(294\) −3.36861 + 10.5985i −0.196461 + 0.618119i
\(295\) 2.61794 4.53440i 0.152422 0.264003i
\(296\) 2.93893 + 5.09038i 0.170822 + 0.295872i
\(297\) 8.49585 20.1158i 0.492979 1.16724i
\(298\) 8.72701i 0.505542i
\(299\) 6.30801 2.34610i 0.364801 0.135679i
\(300\) −7.12603 + 3.68871i −0.411422 + 0.212968i
\(301\) −1.43385 0.384200i −0.0826460 0.0221449i
\(302\) −21.2702 + 12.2804i −1.22397 + 0.706657i
\(303\) 0.260313 5.66234i 0.0149546 0.325293i
\(304\) −2.41216 + 2.41216i −0.138347 + 0.138347i
\(305\) −4.75941 + 1.27528i −0.272523 + 0.0730223i
\(306\) −5.45218 + 14.7674i −0.311680 + 0.844193i
\(307\) 1.91340 + 1.91340i 0.109203 + 0.109203i 0.759597 0.650394i \(-0.225396\pi\)
−0.650394 + 0.759597i \(0.725396\pi\)
\(308\) −2.76999 1.59926i −0.157835 0.0911261i
\(309\) −4.48207 + 6.99975i −0.254976 + 0.398202i
\(310\) 0.595004 2.22059i 0.0337940 0.126121i
\(311\) −7.19354 −0.407908 −0.203954 0.978980i \(-0.565379\pi\)
−0.203954 + 0.978980i \(0.565379\pi\)
\(312\) 0.301716 + 6.23771i 0.0170813 + 0.353141i
\(313\) −14.6520 −0.828180 −0.414090 0.910236i \(-0.635900\pi\)
−0.414090 + 0.910236i \(0.635900\pi\)
\(314\) 2.86547 10.6941i 0.161708 0.603502i
\(315\) −0.126961 + 1.37791i −0.00715345 + 0.0776365i
\(316\) 11.7611 + 6.79025i 0.661612 + 0.381982i
\(317\) −3.93077 3.93077i −0.220774 0.220774i 0.588050 0.808824i \(-0.299896\pi\)
−0.808824 + 0.588050i \(0.799896\pi\)
\(318\) 10.5224 + 11.5365i 0.590066 + 0.646934i
\(319\) −35.3407 + 9.46952i −1.97870 + 0.530191i
\(320\) −0.428520 + 0.428520i −0.0239550 + 0.0239550i
\(321\) 5.40704 + 0.248577i 0.301792 + 0.0138742i
\(322\) −1.23037 + 0.710353i −0.0685657 + 0.0395864i
\(323\) −17.2900 4.63284i −0.962040 0.257778i
\(324\) 8.48528 3.00000i 0.471405 0.166667i
\(325\) −16.4697 2.78523i −0.913577 0.154497i
\(326\) 5.25545i 0.291073i
\(327\) −2.18687 + 0.479526i −0.120934 + 0.0265178i
\(328\) 4.43446 + 7.68071i 0.244852 + 0.424096i
\(329\) −3.08637 + 5.34576i −0.170157 + 0.294721i
\(330\) 4.20385 + 1.33614i 0.231414 + 0.0735521i
\(331\) −5.11244 19.0799i −0.281005 1.04873i −0.951709 0.307000i \(-0.900675\pi\)
0.670704 0.741725i \(-0.265992\pi\)
\(332\) −0.364900 1.36183i −0.0200265 0.0747399i
\(333\) 17.3797 2.98188i 0.952399 0.163406i
\(334\) 7.86434 13.6214i 0.430318 0.745332i
\(335\) 0.0317479 + 0.0549890i 0.00173457 + 0.00300437i
\(336\) −0.282360 1.28769i −0.0154040 0.0702495i
\(337\) 16.3889i 0.892762i −0.894843 0.446381i \(-0.852713\pi\)
0.894843 0.446381i \(-0.147287\pi\)
\(338\) −7.30655 + 10.7524i −0.397424 + 0.584854i
\(339\) −5.55071 10.7231i −0.301473 0.582401i
\(340\) −3.07156 0.823023i −0.166579 0.0446347i
\(341\) 13.8060 7.97088i 0.747635 0.431647i
\(342\) 4.28219 + 9.29493i 0.231554 + 0.502612i
\(343\) 7.22288 7.22288i 0.389999 0.389999i
\(344\) −1.88389 + 0.504787i −0.101572 + 0.0272163i
\(345\) 1.44760 1.32035i 0.0779360 0.0710851i
\(346\) −3.83515 3.83515i −0.206179 0.206179i
\(347\) −18.7272 10.8122i −1.00533 0.580427i −0.0955087 0.995429i \(-0.530448\pi\)
−0.909821 + 0.415001i \(0.863781\pi\)
\(348\) −12.6994 8.13166i −0.680759 0.435903i
\(349\) −0.503975 + 1.88086i −0.0269771 + 0.100680i −0.978102 0.208127i \(-0.933263\pi\)
0.951125 + 0.308807i \(0.0999298\pi\)
\(350\) 3.52605 0.188475
\(351\) 17.8684 + 5.63221i 0.953742 + 0.300625i
\(352\) −4.20241 −0.223989
\(353\) −6.02369 + 22.4807i −0.320609 + 1.19653i 0.598045 + 0.801463i \(0.295945\pi\)
−0.918653 + 0.395065i \(0.870722\pi\)
\(354\) 12.6024 + 8.06955i 0.669810 + 0.428892i
\(355\) 5.47412 + 3.16049i 0.290536 + 0.167741i
\(356\) 4.62980 + 4.62980i 0.245379 + 0.245379i
\(357\) 5.11078 4.66152i 0.270491 0.246714i
\(358\) 10.0271 2.68676i 0.529950 0.142000i
\(359\) 15.8859 15.8859i 0.838428 0.838428i −0.150224 0.988652i \(-0.548000\pi\)
0.988652 + 0.150224i \(0.0479996\pi\)
\(360\) 0.760732 + 1.65125i 0.0400941 + 0.0870283i
\(361\) 6.37655 3.68150i 0.335608 0.193763i
\(362\) −10.7384 2.87734i −0.564397 0.151230i
\(363\) 5.30306 + 10.2447i 0.278339 + 0.537709i
\(364\) 1.14231 2.49519i 0.0598734 0.130783i
\(365\) 4.78062i 0.250229i
\(366\) −3.01631 13.7558i −0.157665 0.719028i
\(367\) −0.300881 0.521141i −0.0157059 0.0272034i 0.858066 0.513540i \(-0.171666\pi\)
−0.873772 + 0.486337i \(0.838333\pi\)
\(368\) −0.933306 + 1.61653i −0.0486519 + 0.0842676i
\(369\) 26.2236 4.49926i 1.36515 0.234222i
\(370\) 0.921938 + 3.44072i 0.0479293 + 0.178874i
\(371\) −1.77587 6.62765i −0.0921988 0.344091i
\(372\) 6.26182 + 1.99024i 0.324660 + 0.103189i
\(373\) −5.70783 + 9.88625i −0.295540 + 0.511891i −0.975110 0.221720i \(-0.928833\pi\)
0.679570 + 0.733611i \(0.262166\pi\)
\(374\) −11.0255 19.0967i −0.570116 0.987469i
\(375\) −9.87640 + 2.16565i −0.510015 + 0.111834i
\(376\) 8.11015i 0.418249i
\(377\) −10.9427 29.4219i −0.563580 1.51531i
\(378\) −3.91736 0.543341i −0.201487 0.0279465i
\(379\) 36.2846 + 9.72242i 1.86381 + 0.499407i 0.999990 0.00438723i \(-0.00139650\pi\)
0.863823 + 0.503795i \(0.168063\pi\)
\(380\) −1.79035 + 1.03366i −0.0918428 + 0.0530255i
\(381\) −3.86699 0.177777i −0.198112 0.00910777i
\(382\) −4.05345 + 4.05345i −0.207392 + 0.207392i
\(383\) 12.2026 3.26967i 0.623523 0.167073i 0.0667943 0.997767i \(-0.478723\pi\)
0.556729 + 0.830694i \(0.312056\pi\)
\(384\) −1.16721 1.27970i −0.0595638 0.0653043i
\(385\) −1.37063 1.37063i −0.0698536 0.0698536i
\(386\) 9.82453 + 5.67220i 0.500056 + 0.288707i
\(387\) −0.536843 + 5.82636i −0.0272892 + 0.296170i
\(388\) 4.07638 15.2132i 0.206947 0.772336i
\(389\) −18.8229 −0.954361 −0.477180 0.878805i \(-0.658341\pi\)
−0.477180 + 0.878805i \(0.658341\pi\)
\(390\) −0.801763 + 3.69868i −0.0405989 + 0.187290i
\(391\) −9.79455 −0.495332
\(392\) 1.66180 6.20192i 0.0839336 0.313245i
\(393\) 20.6279 32.2150i 1.04054 1.62503i
\(394\) −4.05576 2.34159i −0.204326 0.117968i
\(395\) 5.81951 + 5.81951i 0.292812 + 0.292812i
\(396\) −4.36655 + 11.8269i −0.219427 + 0.594324i
\(397\) 11.5273 3.08874i 0.578540 0.155019i 0.0423297 0.999104i \(-0.486522\pi\)
0.536210 + 0.844084i \(0.319855\pi\)
\(398\) 9.12358 9.12358i 0.457324 0.457324i
\(399\) 0.206525 4.49234i 0.0103392 0.224898i
\(400\) 4.01207 2.31637i 0.200604 0.115819i
\(401\) 23.3959 + 6.26891i 1.16833 + 0.313054i 0.790290 0.612733i \(-0.209930\pi\)
0.378045 + 0.925787i \(0.376597\pi\)
\(402\) −0.161164 + 0.0834248i −0.00803815 + 0.00416085i
\(403\) 7.92345 + 11.1488i 0.394695 + 0.555361i
\(404\) 3.27260i 0.162818i
\(405\) 5.43757 0.425198i 0.270195 0.0211282i
\(406\) 3.31324 + 5.73870i 0.164433 + 0.284807i
\(407\) −12.3506 + 21.3919i −0.612197 + 1.06036i
\(408\) 2.75295 8.66150i 0.136291 0.428808i
\(409\) 6.94441 + 25.9169i 0.343379 + 1.28151i 0.894495 + 0.447078i \(0.147535\pi\)
−0.551116 + 0.834429i \(0.685798\pi\)
\(410\) 1.39108 + 5.19159i 0.0687007 + 0.256394i
\(411\) −5.23814 + 16.4806i −0.258379 + 0.812927i
\(412\) 2.39940 4.15589i 0.118210 0.204746i
\(413\) −3.28793 5.69487i −0.161789 0.280226i
\(414\) 3.57967 + 4.30629i 0.175931 + 0.211643i
\(415\) 0.854405i 0.0419411i
\(416\) −0.339401 3.58954i −0.0166405 0.175992i
\(417\) 5.79133 2.99781i 0.283603 0.146804i
\(418\) −13.8472 3.71035i −0.677290 0.181479i
\(419\) −9.38488 + 5.41836i −0.458481 + 0.264704i −0.711405 0.702782i \(-0.751941\pi\)
0.252924 + 0.967486i \(0.418608\pi\)
\(420\) 0.0366892 0.798064i 0.00179025 0.0389415i
\(421\) −22.8984 + 22.8984i −1.11600 + 1.11600i −0.123676 + 0.992323i \(0.539468\pi\)
−0.992323 + 0.123676i \(0.960532\pi\)
\(422\) 5.09968 1.36646i 0.248249 0.0665180i
\(423\) 22.8245 + 8.42691i 1.10977 + 0.409731i
\(424\) −6.37457 6.37457i −0.309577 0.309577i
\(425\) 21.0523 + 12.1545i 1.02119 + 0.589581i
\(426\) −9.74191 + 15.2142i −0.471997 + 0.737128i
\(427\) −1.60166 + 5.97746i −0.0775096 + 0.289270i
\(428\) −3.12505 −0.151055
\(429\) −22.0675 + 14.2048i −1.06543 + 0.685812i
\(430\) −1.18195 −0.0569985
\(431\) 8.68719 32.4210i 0.418447 1.56167i −0.359381 0.933191i \(-0.617012\pi\)
0.777829 0.628476i \(-0.216321\pi\)
\(432\) −4.81427 + 1.95521i −0.231627 + 0.0940699i
\(433\) −20.5735 11.8781i −0.988698 0.570825i −0.0838130 0.996482i \(-0.526710\pi\)
−0.904885 + 0.425657i \(0.860043\pi\)
\(434\) −2.04161 2.04161i −0.0980004 0.0980004i
\(435\) −6.15839 6.75191i −0.295272 0.323729i
\(436\) 1.24854 0.334546i 0.0597943 0.0160218i
\(437\) −4.50256 + 4.50256i −0.215387 + 0.215387i
\(438\) 13.6490 + 0.627482i 0.652174 + 0.0299823i
\(439\) 12.8746 7.43317i 0.614473 0.354766i −0.160241 0.987078i \(-0.551227\pi\)
0.774714 + 0.632312i \(0.217894\pi\)
\(440\) −2.45996 0.659144i −0.117274 0.0314235i
\(441\) −15.7275 11.1210i −0.748926 0.529571i
\(442\) 15.4213 10.9599i 0.733515 0.521309i
\(443\) 40.3416i 1.91669i 0.285619 + 0.958343i \(0.407801\pi\)
−0.285619 + 0.958343i \(0.592199\pi\)
\(444\) −9.94450 + 2.18058i −0.471945 + 0.103486i
\(445\) 1.98396 + 3.43632i 0.0940487 + 0.162897i
\(446\) −1.77511 + 3.07458i −0.0840540 + 0.145586i
\(447\) −14.4055 4.57860i −0.681357 0.216560i
\(448\) 0.196991 + 0.735180i 0.00930694 + 0.0347340i
\(449\) −1.18156 4.40965i −0.0557613 0.208104i 0.932424 0.361365i \(-0.117689\pi\)
−0.988186 + 0.153261i \(0.951022\pi\)
\(450\) −2.35022 13.6981i −0.110790 0.645733i
\(451\) −18.6354 + 32.2775i −0.877508 + 1.51989i
\(452\) 3.48564 + 6.03730i 0.163951 + 0.283971i
\(453\) −9.11160 41.5532i −0.428100 1.95234i
\(454\) 5.02672i 0.235916i
\(455\) 1.06004 1.28143i 0.0496955 0.0600746i
\(456\) −2.71617 5.24723i −0.127196 0.245724i
\(457\) 25.3969 + 6.80507i 1.18801 + 0.318328i 0.798101 0.602524i \(-0.205838\pi\)
0.389914 + 0.920851i \(0.372505\pi\)
\(458\) 13.9485 8.05319i 0.651773 0.376301i
\(459\) −21.5157 16.7475i −1.00427 0.781704i
\(460\) −0.799880 + 0.799880i −0.0372946 + 0.0372946i
\(461\) 14.5525 3.89933i 0.677778 0.181610i 0.0965219 0.995331i \(-0.469228\pi\)
0.581256 + 0.813721i \(0.302562\pi\)
\(462\) 4.09313 3.73333i 0.190430 0.173690i
\(463\) −12.8578 12.8578i −0.597552 0.597552i 0.342108 0.939661i \(-0.388859\pi\)
−0.939661 + 0.342108i \(0.888859\pi\)
\(464\) 7.53987 + 4.35315i 0.350030 + 0.202090i
\(465\) 3.35331 + 2.14719i 0.155506 + 0.0995734i
\(466\) 5.79254 21.6181i 0.268334 1.00144i
\(467\) −12.7104 −0.588168 −0.294084 0.955780i \(-0.595015\pi\)
−0.294084 + 0.955780i \(0.595015\pi\)
\(468\) −10.4548 2.77456i −0.483271 0.128254i
\(469\) 0.0797460 0.00368233
\(470\) −1.27207 + 4.74743i −0.0586762 + 0.218982i
\(471\) 16.1492 + 10.3406i 0.744114 + 0.476470i
\(472\) −7.48228 4.31989i −0.344400 0.198839i
\(473\) −5.79555 5.79555i −0.266480 0.266480i
\(474\) −17.3790 + 15.8513i −0.798242 + 0.728073i
\(475\) 15.2652 4.09030i 0.700415 0.187676i
\(476\) −2.82400 + 2.82400i −0.129438 + 0.129438i
\(477\) −24.5636 + 11.3165i −1.12469 + 0.518147i
\(478\) −7.44934 + 4.30088i −0.340725 + 0.196718i
\(479\) −34.6068 9.27288i −1.58123 0.423689i −0.641922 0.766770i \(-0.721863\pi\)
−0.939306 + 0.343082i \(0.888529\pi\)
\(480\) −0.482527 0.932171i −0.0220242 0.0425476i
\(481\) −19.2696 8.82174i −0.878619 0.402237i
\(482\) 6.14555i 0.279922i
\(483\) −0.527056 2.40363i −0.0239819 0.109369i
\(484\) −3.33013 5.76795i −0.151369 0.262180i
\(485\) 4.77237 8.26598i 0.216702 0.375339i
\(486\) 0.500258 + 15.5804i 0.0226921 + 0.706743i
\(487\) −1.74173 6.50021i −0.0789252 0.294553i 0.915169 0.403069i \(-0.132057\pi\)
−0.994095 + 0.108517i \(0.965390\pi\)
\(488\) 2.10436 + 7.85357i 0.0952598 + 0.355514i
\(489\) −8.67507 2.75726i −0.392300 0.124688i
\(490\) 1.94553 3.36976i 0.0878902 0.152230i
\(491\) 14.9069 + 25.8195i 0.672740 + 1.16522i 0.977124 + 0.212670i \(0.0682159\pi\)
−0.304385 + 0.952549i \(0.598451\pi\)
\(492\) −15.0049 + 3.29021i −0.676474 + 0.148334i
\(493\) 45.6839i 2.05750i
\(494\) 2.05089 12.1274i 0.0922741 0.545639i
\(495\) −4.41108 + 6.23821i −0.198263 + 0.280387i
\(496\) −3.66422 0.981825i −0.164528 0.0440853i
\(497\) 6.87509 3.96934i 0.308390 0.178049i
\(498\) 2.43938 + 0.112145i 0.109311 + 0.00502535i
\(499\) 25.5487 25.5487i 1.14372 1.14372i 0.155954 0.987764i \(-0.450155\pi\)
0.987764 0.155954i \(-0.0498453\pi\)
\(500\) 5.63871 1.51089i 0.252171 0.0675689i
\(501\) 18.3586 + 20.1280i 0.820203 + 0.899251i
\(502\) −8.87855 8.87855i −0.396269 0.396269i
\(503\) 36.8913 + 21.2992i 1.64490 + 0.949684i 0.979055 + 0.203594i \(0.0652623\pi\)
0.665845 + 0.746090i \(0.268071\pi\)
\(504\) 2.27371 + 0.209501i 0.101279 + 0.00933190i
\(505\) −0.513305 + 1.91568i −0.0228418 + 0.0852466i
\(506\) −7.84427 −0.348720
\(507\) −13.9154 17.7020i −0.618006 0.786174i
\(508\) 2.23497 0.0991607
\(509\) −4.37237 + 16.3179i −0.193802 + 0.723279i 0.798772 + 0.601634i \(0.205483\pi\)
−0.992574 + 0.121645i \(0.961183\pi\)
\(510\) 2.97004 4.63837i 0.131515 0.205391i
\(511\) −5.19971 3.00205i −0.230021 0.132803i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −17.5896 + 2.19197i −0.776600 + 0.0967777i
\(514\) −4.57638 + 1.22624i −0.201855 + 0.0540870i
\(515\) 2.05638 2.05638i 0.0906150 0.0906150i
\(516\) 0.155137 3.37453i 0.00682952 0.148556i
\(517\) −29.5160 + 17.0411i −1.29811 + 0.749466i
\(518\) 4.32129 + 1.15789i 0.189867 + 0.0508746i
\(519\) 8.34271 4.31851i 0.366204 0.189561i
\(520\) 0.364341 2.15444i 0.0159774 0.0944784i
\(521\) 18.8358i 0.825213i 0.910909 + 0.412607i \(0.135382\pi\)
−0.910909 + 0.412607i \(0.864618\pi\)
\(522\) 20.0855 16.6964i 0.879118 0.730781i
\(523\) 5.97667 + 10.3519i 0.261342 + 0.452657i 0.966599 0.256295i \(-0.0825017\pi\)
−0.705257 + 0.708952i \(0.749168\pi\)
\(524\) −11.0428 + 19.1267i −0.482406 + 0.835552i
\(525\) −1.84993 + 5.82037i −0.0807376 + 0.254022i
\(526\) 1.46723 + 5.47578i 0.0639743 + 0.238755i
\(527\) −5.15186 19.2270i −0.224419 0.837542i
\(528\) 2.20478 6.93684i 0.0959509 0.301887i
\(529\) 9.75788 16.9011i 0.424256 0.734832i
\(530\) −2.73163 4.73132i −0.118654 0.205516i
\(531\) −19.9321 + 16.5688i −0.864977 + 0.719027i
\(532\) 2.59639i 0.112568i
\(533\) −29.0753 13.3108i −1.25939 0.576556i
\(534\) −10.0713 + 5.21331i −0.435829 + 0.225602i
\(535\) −1.82931 0.490162i −0.0790879 0.0211915i
\(536\) 0.0907381 0.0523877i 0.00391929 0.00226280i
\(537\) −0.825725 + 17.9612i −0.0356327 + 0.775081i
\(538\) −5.16606 + 5.16606i −0.222725 + 0.222725i
\(539\) 26.0630 6.98357i 1.12261 0.300804i
\(540\) −3.12479 + 0.389403i −0.134470 + 0.0167572i
\(541\) 13.7056 + 13.7056i 0.589250 + 0.589250i 0.937428 0.348179i \(-0.113200\pi\)
−0.348179 + 0.937428i \(0.613200\pi\)
\(542\) 21.2418 + 12.2640i 0.912414 + 0.526782i
\(543\) 10.3834 16.2160i 0.445596 0.695897i
\(544\) −1.35808 + 5.06844i −0.0582273 + 0.217307i
\(545\) 0.783330 0.0335542
\(546\) 3.51944 + 3.19468i 0.150618 + 0.136720i
\(547\) −14.6259 −0.625359 −0.312679 0.949859i \(-0.601227\pi\)
−0.312679 + 0.949859i \(0.601227\pi\)
\(548\) 2.58408 9.64392i 0.110386 0.411968i
\(549\) 24.2890 + 2.23799i 1.03663 + 0.0955152i
\(550\) 16.8604 + 9.73434i 0.718929 + 0.415074i
\(551\) 21.0009 + 21.0009i 0.894670 + 0.894670i
\(552\) −2.17872 2.38870i −0.0927326 0.101670i
\(553\) 9.98412 2.67524i 0.424568 0.113763i
\(554\) −6.18454 + 6.18454i −0.262756 + 0.262756i
\(555\) −6.16322 0.283341i −0.261614 0.0120271i
\(556\) −3.26061 + 1.88252i −0.138281 + 0.0798365i
\(557\) 1.16825 + 0.313031i 0.0495002 + 0.0132635i 0.283484 0.958977i \(-0.408510\pi\)
−0.233984 + 0.972240i \(0.575176\pi\)
\(558\) −6.57050 + 9.29209i −0.278152 + 0.393366i
\(559\) 4.48228 5.41841i 0.189580 0.229175i
\(560\) 0.461249i 0.0194913i
\(561\) 37.3071 8.18053i 1.57511 0.345382i
\(562\) 6.71448 + 11.6298i 0.283233 + 0.490575i
\(563\) 12.2059 21.1412i 0.514416 0.890994i −0.485444 0.874267i \(-0.661342\pi\)
0.999860 0.0167265i \(-0.00532446\pi\)
\(564\) −13.3873 4.25497i −0.563705 0.179167i
\(565\) 1.09344 + 4.08077i 0.0460013 + 0.171679i
\(566\) −8.13627 30.3650i −0.341993 1.27633i
\(567\) 2.95212 6.18125i 0.123977 0.259588i
\(568\) 5.21517 9.03293i 0.218823 0.379013i
\(569\) −2.98833 5.17593i −0.125277 0.216986i 0.796564 0.604554i \(-0.206649\pi\)
−0.921841 + 0.387568i \(0.873315\pi\)
\(570\) −0.766936 3.49759i −0.0321234 0.146498i
\(571\) 35.8068i 1.49847i −0.662307 0.749233i \(-0.730422\pi\)
0.662307 0.749233i \(-0.269578\pi\)
\(572\) 12.3506 8.77758i 0.516405 0.367009i
\(573\) −4.56431 8.81758i −0.190677 0.368360i
\(574\) 6.52025 + 1.74710i 0.272150 + 0.0729224i
\(575\) 7.48898 4.32377i 0.312312 0.180314i
\(576\) 2.72474 1.25529i 0.113531 0.0523040i
\(577\) 13.8142 13.8142i 0.575094 0.575094i −0.358453 0.933548i \(-0.616696\pi\)
0.933548 + 0.358453i \(0.116696\pi\)
\(578\) −10.1745 + 2.72625i −0.423204 + 0.113397i
\(579\) −14.5174 + 13.2413i −0.603323 + 0.550288i
\(580\) 3.73082 + 3.73082i 0.154914 + 0.154914i
\(581\) −0.929305 0.536534i −0.0385541 0.0222592i
\(582\) 22.9735 + 14.7104i 0.952284 + 0.609765i
\(583\) 9.80530 36.5939i 0.406094 1.51556i
\(584\) −7.88857 −0.326431
\(585\) −5.68470 3.26396i −0.235033 0.134948i
\(586\) 2.09484 0.0865371
\(587\) 3.99377 14.9050i 0.164841 0.615194i −0.833220 0.552942i \(-0.813505\pi\)
0.998060 0.0622518i \(-0.0198282\pi\)
\(588\) 9.36553 + 5.99693i 0.386228 + 0.247309i
\(589\) −11.2070 6.47036i −0.461776 0.266607i
\(590\) −3.70232 3.70232i −0.152422 0.152422i
\(591\) 5.99306 5.46625i 0.246522 0.224851i
\(592\) 5.67758 1.52130i 0.233347 0.0625252i
\(593\) 19.1066 19.1066i 0.784613 0.784613i −0.195992 0.980605i \(-0.562793\pi\)
0.980605 + 0.195992i \(0.0627927\pi\)
\(594\) −17.2315 13.4127i −0.707018 0.550331i
\(595\) −2.09602 + 1.21014i −0.0859286 + 0.0496109i
\(596\) 8.42964 + 2.25872i 0.345292 + 0.0925206i
\(597\) 10.2734 + 19.8468i 0.420464 + 0.812275i
\(598\) −0.633531 6.70028i −0.0259070 0.273995i
\(599\) 15.6579i 0.639764i −0.947457 0.319882i \(-0.896357\pi\)
0.947457 0.319882i \(-0.103643\pi\)
\(600\) 1.71866 + 7.83793i 0.0701641 + 0.319982i
\(601\) 6.65857 + 11.5330i 0.271609 + 0.470440i 0.969274 0.245984i \(-0.0791110\pi\)
−0.697665 + 0.716424i \(0.745778\pi\)
\(602\) −0.742218 + 1.28556i −0.0302505 + 0.0523955i
\(603\) −0.0531532 0.309799i −0.00216456 0.0126160i
\(604\) 6.35679 + 23.7239i 0.258654 + 0.965311i
\(605\) −1.04465 3.89870i −0.0424713 0.158505i
\(606\) −5.40202 1.71696i −0.219442 0.0697469i
\(607\) −6.14650 + 10.6460i −0.249479 + 0.432110i −0.963381 0.268135i \(-0.913593\pi\)
0.713903 + 0.700245i \(0.246926\pi\)
\(608\) 1.70565 + 2.95428i 0.0691733 + 0.119812i
\(609\) −11.2110 + 2.45831i −0.454295 + 0.0996156i
\(610\) 4.92730i 0.199501i
\(611\) −16.9397 23.8352i −0.685306 0.964268i
\(612\) 12.8530 + 9.08847i 0.519553 + 0.367380i
\(613\) −10.3869 2.78315i −0.419521 0.112410i 0.0428820 0.999080i \(-0.486346\pi\)
−0.462403 + 0.886670i \(0.653013\pi\)
\(614\) 2.34342 1.35298i 0.0945728 0.0546017i
\(615\) −9.29948 0.427523i −0.374991 0.0172394i
\(616\) −2.26169 + 2.26169i −0.0911261 + 0.0911261i
\(617\) −12.1675 + 3.26027i −0.489845 + 0.131254i −0.495283 0.868732i \(-0.664936\pi\)
0.00543815 + 0.999985i \(0.498269\pi\)
\(618\) 5.60120 + 6.14102i 0.225313 + 0.247028i
\(619\) −5.08096 5.08096i −0.204221 0.204221i 0.597585 0.801806i \(-0.296127\pi\)
−0.801806 + 0.597585i \(0.796127\pi\)
\(620\) −1.99092 1.14946i −0.0799574 0.0461634i
\(621\) −8.98637 + 3.64961i −0.360611 + 0.146454i
\(622\) −1.86183 + 6.94843i −0.0746524 + 0.278607i
\(623\) 4.98342 0.199656
\(624\) 6.10325 + 1.32300i 0.244326 + 0.0529624i
\(625\) −19.6260 −0.785040
\(626\) −3.79222 + 14.1527i −0.151567 + 0.565657i
\(627\) 13.3895 20.9107i 0.534726 0.835093i
\(628\) −9.58806 5.53567i −0.382605 0.220897i
\(629\) 21.8090 + 21.8090i 0.869580 + 0.869580i
\(630\) 1.29810 + 0.479265i 0.0517175 + 0.0190944i
\(631\) −23.9643 + 6.42121i −0.954002 + 0.255624i −0.702060 0.712118i \(-0.747736\pi\)
−0.251943 + 0.967742i \(0.581069\pi\)
\(632\) 9.60287 9.60287i 0.381982 0.381982i
\(633\) −0.419955 + 9.13485i −0.0166917 + 0.363078i
\(634\) −4.81419 + 2.77947i −0.191196 + 0.110387i
\(635\) 1.30828 + 0.350553i 0.0519175 + 0.0139113i
\(636\) 13.8668 7.17798i 0.549854 0.284625i
\(637\) 8.07004 + 21.6980i 0.319747 + 0.859708i
\(638\) 36.5874i 1.44851i
\(639\) −20.0026 24.0628i −0.791292 0.951912i
\(640\) 0.303009 + 0.524827i 0.0119775 + 0.0207456i
\(641\) −5.92602 + 10.2642i −0.234064 + 0.405410i −0.959000 0.283406i \(-0.908536\pi\)
0.724936 + 0.688816i \(0.241869\pi\)
\(642\) 1.63955 5.15846i 0.0647079 0.203588i
\(643\) −7.18682 26.8216i −0.283420 1.05774i −0.949986 0.312293i \(-0.898903\pi\)
0.666566 0.745446i \(-0.267764\pi\)
\(644\) 0.367706 + 1.37230i 0.0144896 + 0.0540760i
\(645\) 0.620105 1.95101i 0.0244166 0.0768211i
\(646\) −8.94995 + 15.5018i −0.352131 + 0.609909i
\(647\) −9.84613 17.0540i −0.387091 0.670462i 0.604966 0.796251i \(-0.293187\pi\)
−0.992057 + 0.125790i \(0.959853\pi\)
\(648\) −0.701625 8.97261i −0.0275624 0.352477i
\(649\) 36.3079i 1.42521i
\(650\) −6.95301 + 15.1877i −0.272719 + 0.595710i
\(651\) 4.44117 2.29892i 0.174063 0.0901017i
\(652\) 5.07638 + 1.36021i 0.198806 + 0.0532700i
\(653\) −42.1003 + 24.3066i −1.64751 + 0.951191i −0.669455 + 0.742853i \(0.733472\pi\)
−0.978057 + 0.208339i \(0.933194\pi\)
\(654\) −0.102816 + 2.23646i −0.00402044 + 0.0874526i
\(655\) −9.46410 + 9.46410i −0.369793 + 0.369793i
\(656\) 8.56672 2.29545i 0.334474 0.0896221i
\(657\) −8.19668 + 22.2009i −0.319783 + 0.866140i
\(658\) 4.36479 + 4.36479i 0.170157 + 0.170157i
\(659\) −3.21116 1.85397i −0.125089 0.0722202i 0.436150 0.899874i \(-0.356342\pi\)
−0.561239 + 0.827654i \(0.689675\pi\)
\(660\) 2.37865 3.71479i 0.0925888 0.144598i
\(661\) 1.66416 6.21075i 0.0647285 0.241570i −0.925980 0.377573i \(-0.876759\pi\)
0.990708 + 0.136003i \(0.0434255\pi\)
\(662\) −19.7529 −0.767720
\(663\) 10.0006 + 31.2057i 0.388389 + 1.21193i
\(664\) −1.40987 −0.0547134
\(665\) −0.407242 + 1.51985i −0.0157922 + 0.0589371i
\(666\) 1.61791 17.5592i 0.0626929 0.680406i
\(667\) 14.0740 + 8.12564i 0.544948 + 0.314626i
\(668\) −11.1219 11.1219i −0.430318 0.430318i
\(669\) −4.14385 4.54322i −0.160210 0.175651i
\(670\) 0.0613322 0.0164339i 0.00236947 0.000634898i
\(671\) −24.1605 + 24.1605i −0.932708 + 0.932708i
\(672\) −1.31690 0.0605415i −0.0508004 0.00233544i
\(673\) 5.14268 2.96913i 0.198236 0.114451i −0.397597 0.917560i \(-0.630156\pi\)
0.595832 + 0.803109i \(0.296822\pi\)
\(674\) −15.8305 4.24177i −0.609768 0.163387i
\(675\) 23.8442 + 3.30720i 0.917763 + 0.127294i
\(676\) 8.49496 + 9.84052i 0.326729 + 0.378481i
\(677\) 24.5297i 0.942753i 0.881932 + 0.471376i \(0.156243\pi\)
−0.881932 + 0.471376i \(0.843757\pi\)
\(678\) −11.7944 + 2.58622i −0.452961 + 0.0993231i
\(679\) −5.99374 10.3815i −0.230019 0.398404i
\(680\) −1.58996 + 2.75389i −0.0609721 + 0.105607i
\(681\) 8.29751 + 2.63726i 0.317961 + 0.101060i
\(682\) −4.12603 15.3986i −0.157994 0.589641i
\(683\) −6.94368 25.9142i −0.265693 0.991578i −0.961825 0.273665i \(-0.911764\pi\)
0.696133 0.717913i \(-0.254903\pi\)
\(684\) 10.0865 1.73057i 0.385668 0.0661702i
\(685\) 3.02528 5.23994i 0.115590 0.200208i
\(686\) −5.10734 8.84618i −0.194999 0.337749i
\(687\) 5.97518 + 27.2497i 0.227967 + 1.03964i
\(688\) 1.95035i 0.0743562i
\(689\) 32.0490 + 5.41987i 1.22097 + 0.206481i
\(690\) −0.900691 1.74000i −0.0342887 0.0662407i
\(691\) −10.1788 2.72740i −0.387220 0.103755i 0.0599568 0.998201i \(-0.480904\pi\)
−0.447176 + 0.894446i \(0.647570\pi\)
\(692\) −4.69708 + 2.71186i −0.178556 + 0.103090i
\(693\) 4.01508 + 8.71514i 0.152520 + 0.331061i
\(694\) −15.2907 + 15.2907i −0.580427 + 0.580427i
\(695\) −2.20393 + 0.590542i −0.0835999 + 0.0224005i
\(696\) −11.1414 + 10.1620i −0.422315 + 0.385191i
\(697\) 32.9068 + 32.9068i 1.24644 + 1.24644i
\(698\) 1.68633 + 0.973604i 0.0638286 + 0.0368515i
\(699\) 32.6455 + 20.9035i 1.23477 + 0.790643i
\(700\) 0.912608 3.40590i 0.0344933 0.128731i
\(701\) −48.3500 −1.82616 −0.913078 0.407785i \(-0.866301\pi\)
−0.913078 + 0.407785i \(0.866301\pi\)
\(702\) 10.0650 15.8018i 0.379878 0.596400i
\(703\) 20.0512 0.756245
\(704\) −1.08766 + 4.05922i −0.0409929 + 0.152987i
\(705\) −7.16910 4.59051i −0.270004 0.172888i
\(706\) 20.1557 + 11.6369i 0.758568 + 0.437959i
\(707\) 1.76128 + 1.76128i 0.0662397 + 0.0662397i
\(708\) 11.0563 10.0844i 0.415522 0.378996i
\(709\) 28.4274 7.61709i 1.06761 0.286066i 0.318100 0.948057i \(-0.396955\pi\)
0.749512 + 0.661991i \(0.230288\pi\)
\(710\) 4.46960 4.46960i 0.167741 0.167741i
\(711\) −17.0475 37.0034i −0.639333 1.38774i
\(712\) 5.67032 3.27376i 0.212504 0.122689i
\(713\) −6.83968 1.83269i −0.256148 0.0686347i
\(714\) −3.17992 6.14313i −0.119005 0.229901i
\(715\) 8.60641 3.20094i 0.321862 0.119708i
\(716\) 10.3808i 0.387950i
\(717\) −3.19110 14.5529i −0.119174 0.543489i
\(718\) −11.2331 19.4562i −0.419214 0.726100i
\(719\) −21.4236 + 37.1068i −0.798966 + 1.38385i 0.121324 + 0.992613i \(0.461286\pi\)
−0.920290 + 0.391237i \(0.872047\pi\)
\(720\) 1.79187 0.307437i 0.0667791 0.0114575i
\(721\) −0.945320 3.52798i −0.0352056 0.131389i
\(722\) −1.90569 7.11211i −0.0709223 0.264685i
\(723\) 10.1443 + 3.22425i 0.377272 + 0.119911i
\(724\) −5.55860 + 9.62777i −0.206584 + 0.357813i
\(725\) −20.1670 34.9303i −0.748984 1.29728i
\(726\) 11.2682 2.47083i 0.418201 0.0917012i
\(727\) 1.92620i 0.0714389i 0.999362 + 0.0357194i \(0.0113723\pi\)
−0.999362 + 0.0357194i \(0.988628\pi\)
\(728\) −2.11451 1.74919i −0.0783691 0.0648293i
\(729\) −25.9808 7.34847i −0.962250 0.272166i
\(730\) −4.61772 1.23732i −0.170910 0.0457951i
\(731\) −8.86283 + 5.11696i −0.327804 + 0.189257i
\(732\) −14.0678 0.646735i −0.519960 0.0239040i
\(733\) −22.6065 + 22.6065i −0.834990 + 0.834990i −0.988195 0.153204i \(-0.951041\pi\)
0.153204 + 0.988195i \(0.451041\pi\)
\(734\) −0.581258 + 0.155748i −0.0214546 + 0.00574875i
\(735\) 4.54168 + 4.97939i 0.167522 + 0.183668i
\(736\) 1.31989 + 1.31989i 0.0486519 + 0.0486519i
\(737\) 0.381319 + 0.220155i 0.0140461 + 0.00810950i
\(738\) 2.44122 26.4945i 0.0898624 0.975277i
\(739\) −0.376096 + 1.40361i −0.0138349 + 0.0516325i −0.972498 0.232910i \(-0.925175\pi\)
0.958663 + 0.284543i \(0.0918418\pi\)
\(740\) 3.56209 0.130945
\(741\) 18.9425 + 9.74800i 0.695871 + 0.358102i
\(742\) −6.86145 −0.251892
\(743\) −9.58365 + 35.7667i −0.351590 + 1.31215i 0.533132 + 0.846032i \(0.321015\pi\)
−0.884722 + 0.466119i \(0.845652\pi\)
\(744\) 3.54310 5.53335i 0.129897 0.202862i
\(745\) 4.58017 + 2.64436i 0.167804 + 0.0968820i
\(746\) 8.07209 + 8.07209i 0.295540 + 0.295540i
\(747\) −1.46493 + 3.96780i −0.0535991 + 0.145174i
\(748\) −21.2996 + 5.70722i −0.778792 + 0.208677i
\(749\) −1.68187 + 1.68187i −0.0614542 + 0.0614542i
\(750\) −0.464343 + 10.1004i −0.0169554 + 0.368814i
\(751\) −13.2882 + 7.67193i −0.484892 + 0.279953i −0.722453 0.691420i \(-0.756985\pi\)
0.237561 + 0.971373i \(0.423652\pi\)
\(752\) 7.83380 + 2.09906i 0.285669 + 0.0765449i
\(753\) 19.3138 9.99753i 0.703832 0.364330i
\(754\) −31.2516 + 2.95493i −1.13812 + 0.107612i
\(755\) 14.8843i 0.541694i
\(756\) −1.53872 + 3.64326i −0.0559625 + 0.132504i
\(757\) −11.2354 19.4603i −0.408357 0.707296i 0.586349 0.810059i \(-0.300565\pi\)
−0.994706 + 0.102763i \(0.967232\pi\)
\(758\) 18.7823 32.5319i 0.682203 1.18161i
\(759\) 4.11548 12.9484i 0.149382 0.469997i
\(760\) 0.535060 + 1.99687i 0.0194087 + 0.0724341i
\(761\) 0.210189 + 0.784436i 0.00761934 + 0.0284358i 0.969631 0.244573i \(-0.0786478\pi\)
−0.962012 + 0.273009i \(0.911981\pi\)
\(762\) −1.17257 + 3.68922i −0.0424777 + 0.133646i
\(763\) 0.491903 0.852000i 0.0178081 0.0308445i
\(764\) 2.86622 + 4.96444i 0.103696 + 0.179607i
\(765\) 6.09825 + 7.33609i 0.220483 + 0.265237i
\(766\) 12.6331i 0.456451i
\(767\) 31.0129 2.93235i 1.11981 0.105881i
\(768\) −1.53819 + 0.796225i −0.0555046 + 0.0287313i
\(769\) −12.0810 3.23708i −0.435651 0.116732i 0.0343269 0.999411i \(-0.489071\pi\)
−0.469977 + 0.882678i \(0.655738\pi\)