Properties

Label 78.2.k.a.59.4
Level $78$
Weight $2$
Character 78.59
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 59.4
Root \(0.500000 - 1.00333i\) of defining polynomial
Character \(\chi\) \(=\) 78.59
Dual form 78.2.k.a.41.4

$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).

\(n\) \(53\) \(67\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 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 −0.796404 0.604765i \(-0.793267\pi\)
0.604765 + 0.796404i \(0.293267\pi\)
\(6\) 1.27970 + 1.16721i 0.522435 + 0.476510i
\(7\) −0.735180 0.196991i −0.277872 0.0744555i 0.117192 0.993109i \(-0.462611\pi\)
−0.395064 + 0.918654i \(0.629277\pi\)
\(8\) −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 −0.812201 0.583377i \(-0.801731\pi\)
−0.411699 + 0.911320i \(0.635064\pi\)
\(12\) −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 −0.986234 0.165357i \(-0.947122\pi\)
0.349914 0.936782i \(-0.386211\pi\)
\(18\) 2.95680 + 0.507306i 0.696923 + 0.119573i
\(19\) 0.882911 3.29507i 0.202554 0.755940i −0.787628 0.616151i \(-0.788691\pi\)
0.990181 0.139789i \(-0.0446424\pi\)
\(20\) 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 −0.752164 0.658976i \(-0.770990\pi\)
0.946772 + 0.321905i \(0.104323\pi\)
\(24\) −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 0.994404 0.105641i \(-0.0336893\pi\)
0.405715 + 0.914000i \(0.367023\pi\)
\(30\) −1.04855 + 0.0482047i −0.191438 + 0.00880093i
\(31\) −2.68240 2.68240i −0.481773 0.481773i 0.423925 0.905697i \(-0.360652\pi\)
−0.905697 + 0.423925i \(0.860652\pi\)
\(32\) 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 0.970751 + 0.240090i \(0.0771769\pi\)
−0.720650 + 0.693299i \(0.756156\pi\)
\(38\) 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 0.876037 + 0.482243i \(0.160178\pi\)
−0.517549 + 0.855654i \(0.673155\pi\)
\(42\) −0.710879 1.11020i −0.109691 0.171307i
\(43\) 1.68905 0.975173i 0.257578 0.148712i −0.365651 0.930752i \(-0.619154\pi\)
0.623229 + 0.782039i \(0.285820\pi\)
\(44\) 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 0.988396 0.151898i \(-0.0485386\pi\)
−0.151898 + 0.988396i \(0.548539\pi\)
\(48\) −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 \(-0.787476\pi\)
0.785270 0.619153i \(-0.212524\pi\)
\(54\) 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 −0.653129 0.757247i \(-0.726544\pi\)
0.944249 0.329231i \(-0.106789\pi\)
\(60\) −0.317946 1.00034i −0.0410467 0.129144i
\(61\) 4.06531 + 7.04132i 0.520509 + 0.901548i 0.999716 + 0.0238462i \(0.00759119\pi\)
−0.479206 + 0.877702i \(0.659075\pi\)
\(62\) 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 −0.264996 0.964250i \(-0.585371\pi\)
0.252632 + 0.967563i \(0.418704\pi\)
\(68\) 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 −0.394548 0.918875i \(-0.629099\pi\)
−0.801126 + 0.598496i \(0.795765\pi\)
\(72\) −2.81431 + 1.03906i −0.331670 + 0.122454i
\(73\) 5.57806 5.57806i 0.652863 0.652863i −0.300819 0.953681i \(-0.597260\pi\)
0.953681 + 0.300819i \(0.0972599\pi\)
\(74\) −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 −0.650273 0.759700i \(-0.725346\pi\)
0.759700 + 0.650273i \(0.225346\pi\)
\(84\) 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 −0.577929 0.816087i \(-0.696139\pi\)
−0.0924582 + 0.995717i \(0.529472\pi\)
\(90\) −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 −0.373148 0.927772i \(-0.621722\pi\)
0.787042 0.616900i \(-0.211612\pi\)
\(98\) 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 −0.935878 0.352323i \(-0.885392\pi\)
0.773060 + 0.634333i \(0.218725\pi\)
\(102\) 1.94663 8.87755i 0.192745 0.879009i
\(103\) 4.79880i 0.472840i −0.971651 0.236420i \(-0.924026\pi\)
0.971651 0.236420i \(-0.0759741\pi\)
\(104\) 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 0.625080 0.780560i \(-0.285066\pi\)
−0.363445 + 0.931616i \(0.618400\pi\)
\(108\) 3.19168 + 4.10039i 0.307119 + 0.394560i
\(109\) −0.913996 0.913996i −0.0875449 0.0875449i 0.661978 0.749523i \(-0.269717\pi\)
−0.749523 + 0.661978i \(0.769717\pi\)
\(110\) 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 −0.756327 0.654194i \(-0.773008\pi\)
0.188385 + 0.982095i \(0.439675\pi\)
\(114\) 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 0.411660 0.911337i \(-0.364949\pi\)
−0.583411 + 0.812177i \(0.698282\pi\)
\(128\) −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 \(0.415308\pi\)
−0.262938 + 0.964813i \(0.584692\pi\)
\(132\) 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 −0.763281 0.646066i \(-0.776413\pi\)
0.984054 0.177869i \(-0.0569204\pi\)
\(138\) 3.08118 0.979314i 0.262287 0.0833647i
\(139\) 1.88252 + 3.26061i 0.159673 + 0.276562i 0.934751 0.355304i \(-0.115623\pi\)
−0.775078 + 0.631866i \(0.782289\pi\)
\(140\) −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 −0.103574 0.994622i \(-0.533028\pi\)
−0.587009 + 0.809581i \(0.699695\pi\)
\(150\) −5.40737 + 5.92851i −0.441510 + 0.484061i
\(151\) −17.3671 + 17.3671i −1.41331 + 1.41331i −0.681429 + 0.731885i \(0.738641\pi\)
−0.731885 + 0.681429i \(0.761359\pi\)
\(152\) −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 0.0544714 0.998515i \(-0.482653\pi\)
−0.452084 + 0.891975i \(0.649319\pi\)
\(164\) −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 0.382450 0.923976i \(-0.375080\pi\)
0.793200 + 0.608962i \(0.208414\pi\)
\(168\) 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 0.950508 0.310701i \(-0.100564\pi\)
−0.744329 + 0.667813i \(0.767230\pi\)
\(174\) 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 −0.604224 0.796815i \(-0.706517\pi\)
0.992174 + 0.124866i \(0.0398500\pi\)
\(180\) −1.39809 1.16218i −0.104207 0.0866241i
\(181\) 11.1172i 0.826335i 0.910655 + 0.413167i \(0.135578\pi\)
−0.910655 + 0.413167i \(0.864422\pi\)
\(182\) 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 −0.668736 0.743500i \(-0.733164\pi\)
0.309522 + 0.950892i \(0.399831\pi\)
\(192\) 0.933998 + 1.45865i 0.0674055 + 0.105269i
\(193\) −2.93615 10.9578i −0.211348 0.788763i −0.987420 0.158118i \(-0.949457\pi\)
0.776072 0.630645i \(-0.217209\pi\)
\(194\) 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 0.995568 0.0940449i \(-0.0299797\pi\)
−0.909210 + 0.416339i \(0.863313\pi\)
\(198\) −12.5541 + 1.15674i −0.892178 + 0.0822056i
\(199\) 11.1741 6.45135i 0.792108 0.457324i −0.0485961 0.998819i \(-0.515475\pi\)
0.840704 + 0.541495i \(0.182141\pi\)
\(200\) 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 −0.760739 0.649057i \(-0.775163\pi\)
0.942470 + 0.334291i \(0.108497\pi\)
\(212\) 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 −0.371804 0.928311i \(-0.621261\pi\)
0.142164 + 0.989843i \(0.454594\pi\)
\(224\) −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 0.416326 0.909215i \(-0.363318\pi\)
−0.0940589 + 0.995567i \(0.529984\pi\)
\(228\) 4.36544 + 3.98170i 0.289108 + 0.263694i
\(229\) 11.3889 11.3889i 0.752602 0.752602i −0.222362 0.974964i \(-0.571377\pi\)
0.974964 + 0.222362i \(0.0713767\pi\)
\(230\) −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 −0.875910 0.482475i \(-0.839738\pi\)
0.482475 + 0.875910i \(0.339738\pi\)
\(240\) 0.775521 + 0.707349i 0.0500596 + 0.0456592i
\(241\) 5.93615 + 1.59059i 0.382381 + 0.102459i 0.444889 0.895586i \(-0.353243\pi\)
−0.0625080 + 0.998044i \(0.519910\pi\)
\(242\) 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 0.993262 0.115888i \(-0.0369714\pi\)
−0.596993 + 0.802246i \(0.703638\pi\)
\(252\) 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 −0.930402 0.366540i \(-0.880542\pi\)
0.782634 + 0.622482i \(0.213876\pi\)
\(258\) 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 0.340939 0.940085i \(-0.389255\pi\)
−0.643668 + 0.765304i \(0.722588\pi\)
\(264\) 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 −0.680326 0.732910i \(-0.738162\pi\)
0.294555 + 0.955634i \(0.404828\pi\)
\(270\) −1.18489 + 2.91753i −0.0721101 + 0.177555i
\(271\) −6.34829 23.6922i −0.385631 1.43920i −0.837169 0.546944i \(-0.815791\pi\)
0.451538 0.892252i \(-0.350876\pi\)
\(272\) −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 −0.709984 0.704217i \(-0.751298\pi\)
0.254878 + 0.966973i \(0.417965\pi\)
\(278\) −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 0.364670 0.931137i \(-0.381182\pi\)
−0.931137 + 0.364670i \(0.881182\pi\)
\(282\) 0.645107 + 14.0324i 0.0384156 + 0.835615i
\(283\) 27.2245 + 15.7181i 1.61833 + 0.934342i 0.987353 + 0.158539i \(0.0506782\pi\)
0.630975 + 0.775803i \(0.282655\pi\)
\(284\) 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 −0.948278 0.317440i \(-0.897177\pi\)
0.979953 + 0.199228i \(0.0638435\pi\)
\(294\) −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 −0.650394 0.759597i \(-0.725396\pi\)
0.759597 + 0.650394i \(0.225396\pi\)
\(308\) −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 −0.808824 0.588050i \(-0.799896\pi\)
0.588050 + 0.808824i \(0.299896\pi\)
\(318\) 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 0.670704 + 0.741725i \(0.265992\pi\)
−0.951709 + 0.307000i \(0.900675\pi\)
\(332\) −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 \(0.147287\pi\)
−0.894843 + 0.446381i \(0.852713\pi\)
\(338\) −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 −0.909821 0.415001i \(-0.863781\pi\)
−0.0955087 + 0.995429i \(0.530448\pi\)
\(348\) −12.6994 + 8.13166i −0.680759 + 0.435903i
\(349\) −0.503975 1.88086i −0.0269771 0.100680i 0.951125 0.308807i \(-0.0999298\pi\)
−0.978102 + 0.208127i \(0.933263\pi\)
\(350\) 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 −0.918653 0.395065i \(-0.870722\pi\)
0.598045 0.801463i \(-0.295945\pi\)
\(354\) 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 0.988652 0.150224i \(-0.0479996\pi\)
−0.150224 + 0.988652i \(0.548000\pi\)
\(360\) 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 −0.873772 0.486337i \(-0.838333\pi\)
0.858066 + 0.513540i \(0.171666\pi\)
\(368\) −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 0.679570 0.733611i \(-0.262166\pi\)
−0.975110 + 0.221720i \(0.928833\pi\)
\(374\) −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 0.863823 0.503795i \(-0.168063\pi\)
0.999990 + 0.00438723i \(0.00139650\pi\)
\(380\) −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 0.556729 0.830694i \(-0.312056\pi\)
0.0667943 + 0.997767i \(0.478723\pi\)
\(384\) −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 0.536210 0.844084i \(-0.319855\pi\)
0.0423297 + 0.999104i \(0.486522\pi\)
\(398\) 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 0.378045 0.925787i \(-0.376597\pi\)
0.790290 + 0.612733i \(0.209930\pi\)
\(402\) −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 −0.551116 0.834429i \(-0.685798\pi\)
0.894495 0.447078i \(-0.147535\pi\)
\(410\) 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 0.252924 0.967486i \(-0.418608\pi\)
−0.711405 + 0.702782i \(0.751941\pi\)
\(420\) 0.0366892 + 0.798064i 0.00179025 + 0.0389415i
\(421\) −22.8984 22.8984i −1.11600 1.11600i −0.992323 0.123676i \(-0.960532\pi\)
−0.123676 0.992323i \(-0.539468\pi\)
\(422\) 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 0.777829 + 0.628476i \(0.216321\pi\)
−0.359381 + 0.933191i \(0.617012\pi\)
\(432\) −4.81427 1.95521i −0.231627 0.0940699i
\(433\) −20.5735 + 11.8781i −0.988698 + 0.570825i −0.904885 0.425657i \(-0.860043\pi\)
−0.0838130 + 0.996482i \(0.526710\pi\)
\(434\) −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 0.774714 0.632312i \(-0.217894\pi\)
−0.160241 + 0.987078i \(0.551227\pi\)
\(440\) −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 \(-0.592199\pi\)
0.285619 0.958343i \(-0.407801\pi\)
\(444\) −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 −0.988186 0.153261i \(-0.951022\pi\)
0.932424 + 0.361365i \(0.117689\pi\)
\(450\) −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 0.389914 0.920851i \(-0.372505\pi\)
0.798101 + 0.602524i \(0.205838\pi\)
\(458\) 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 0.581256 0.813721i \(-0.302562\pi\)
0.0965219 + 0.995331i \(0.469228\pi\)
\(462\) 4.09313 + 3.73333i 0.190430 + 0.173690i
\(463\) −12.8578 + 12.8578i −0.597552 + 0.597552i −0.939661 0.342108i \(-0.888859\pi\)
0.342108 + 0.939661i \(0.388859\pi\)
\(464\) 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 −0.939306 0.343082i \(-0.888529\pi\)
−0.641922 + 0.766770i \(0.721863\pi\)
\(480\) −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 −0.994095 0.108517i \(-0.965390\pi\)
0.915169 + 0.403069i \(0.132057\pi\)
\(488\) 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 −0.304385 0.952549i \(-0.598451\pi\)
0.977124 0.212670i \(-0.0682159\pi\)
\(492\) −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 0.987764 + 0.155954i \(0.0498453\pi\)
0.155954 + 0.987764i \(0.450155\pi\)
\(500\) 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 0.665845 0.746090i \(-0.268071\pi\)
0.979055 0.203594i \(-0.0652623\pi\)
\(504\) 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 −0.992574 0.121645i \(-0.961183\pi\)
0.798772 0.601634i \(-0.205483\pi\)
\(510\) 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 \(-0.864618\pi\)
0.910909 0.412607i \(-0.135382\pi\)
\(522\) 20.0855 + 16.6964i 0.879118 + 0.730781i
\(523\) 5.97667 10.3519i 0.261342 0.452657i −0.705257 0.708952i \(-0.749168\pi\)
0.966599 + 0.256295i \(0.0825017\pi\)
\(524\) −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 −0.348179 0.937428i \(-0.613200\pi\)
0.937428 + 0.348179i \(0.113200\pi\)
\(542\) 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 −0.233984 0.972240i \(-0.575176\pi\)
0.283484 + 0.958977i \(0.408510\pi\)
\(558\) −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 0.999860 + 0.0167265i \(0.00532446\pi\)
−0.485444 + 0.874267i \(0.661342\pi\)
\(564\) −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 −0.921841 0.387568i \(-0.873315\pi\)
0.796564 + 0.604554i \(0.206649\pi\)
\(570\) −0.766936 + 3.49759i −0.0321234 + 0.146498i
\(571\) 35.8068i 1.49847i 0.662307 + 0.749233i \(0.269578\pi\)
−0.662307 + 0.749233i \(0.730422\pi\)
\(572\) 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 0.933548 0.358453i \(-0.116696\pi\)
−0.358453 + 0.933548i \(0.616696\pi\)
\(578\) −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 0.998060 + 0.0622518i \(0.0198282\pi\)
−0.833220 + 0.552942i \(0.813505\pi\)
\(588\) 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 0.980605 0.195992i \(-0.0627927\pi\)
−0.195992 + 0.980605i \(0.562793\pi\)
\(594\) −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 \(0.103643\pi\)
−0.947457 + 0.319882i \(0.896357\pi\)
\(600\) 1.71866 7.83793i 0.0701641 0.319982i
\(601\) 6.65857 11.5330i 0.271609 0.470440i −0.697665 0.716424i \(-0.745778\pi\)
0.969274 + 0.245984i \(0.0791110\pi\)
\(602\) −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 0.713903 0.700245i \(-0.246926\pi\)
−0.963381 + 0.268135i \(0.913593\pi\)
\(608\) 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 −0.462403 0.886670i \(-0.653013\pi\)
0.0428820 + 0.999080i \(0.486346\pi\)
\(614\) 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 0.00543815 0.999985i \(-0.498269\pi\)
−0.495283 + 0.868732i \(0.664936\pi\)
\(618\) 5.60120 6.14102i 0.225313 0.247028i
\(619\) −5.08096 + 5.08096i −0.204221 + 0.204221i −0.801806 0.597585i \(-0.796127\pi\)
0.597585 + 0.801806i \(0.296127\pi\)
\(620\) −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 −0.251943 0.967742i \(-0.581069\pi\)
−0.702060 + 0.712118i \(0.747736\pi\)
\(632\) 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 0.724936 0.688816i \(-0.241869\pi\)
−0.959000 + 0.283406i \(0.908536\pi\)
\(642\) 1.63955 + 5.15846i 0.0647079 + 0.203588i
\(643\) −7.18682 + 26.8216i −0.283420 + 1.05774i 0.666566 + 0.745446i \(0.267764\pi\)
−0.949986 + 0.312293i \(0.898903\pi\)
\(644\) 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 −0.992057 0.125790i \(-0.959853\pi\)
0.604966 + 0.796251i \(0.293187\pi\)
\(648\) −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 −0.978057 0.208339i \(-0.933194\pi\)
−0.669455 0.742853i \(-0.733472\pi\)
\(654\) −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 −0.561239 0.827654i \(-0.689675\pi\)
0.436150 + 0.899874i \(0.356342\pi\)
\(660\) 2.37865 + 3.71479i 0.0925888 + 0.144598i
\(661\) 1.66416 + 6.21075i 0.0647285 + 0.241570i 0.990708 0.136003i \(-0.0434255\pi\)
−0.925980 + 0.377573i \(0.876759\pi\)
\(662\) −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 0.595832 0.803109i \(-0.296822\pi\)
−0.397597 + 0.917560i \(0.630156\pi\)
\(674\) −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 \(-0.843757\pi\)
0.881932 0.471376i \(-0.156243\pi\)
\(678\) −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 0.696133 + 0.717913i \(0.254903\pi\)
−0.961825 + 0.273665i \(0.911764\pi\)
\(684\) 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 −0.447176 0.894446i \(-0.647570\pi\)
0.0599568 + 0.998201i \(0.480904\pi\)
\(692\) −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 0.749512 0.661991i \(-0.230288\pi\)
0.318100 + 0.948057i \(0.396955\pi\)
\(710\) 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 −0.920290 0.391237i \(-0.872047\pi\)
0.121324 0.992613i \(-0.461286\pi\)
\(720\) 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 \(-0.988628\pi\)
0.999362 0.0357194i \(-0.0113723\pi\)
\(728\) −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 0.153204 0.988195i \(-0.451041\pi\)
−0.988195 + 0.153204i \(0.951041\pi\)
\(734\) −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 0.958663 0.284543i \(-0.0918418\pi\)
−0.972498 + 0.232910i \(0.925175\pi\)
\(740\) 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 −0.884722 0.466119i \(-0.845652\pi\)
0.533132 0.846032i \(-0.321015\pi\)
\(744\) 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 0.237561 0.971373i \(-0.423652\pi\)
−0.722453 + 0.691420i \(0.756985\pi\)
\(752\) 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 −0.994706 0.102763i \(-0.967232\pi\)
0.586349 + 0.810059i \(0.300565\pi\)
\(758\) 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 −0.962012 0.273009i \(-0.911981\pi\)
0.969631 + 0.244573i \(0.0786478\pi\)
\(762\) −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 −0.469977 0.882678i \(-0.655738\pi\)
0.0343269 + 0.999411i \(0.489071\pi\)
\(770\)