Properties

Label 78.2.k.a.41.2
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 41.2
Root \(0.500000 - 2.00333i\) of defining polynomial
Character \(\chi\) \(=\) 78.41
Dual form 78.2.k.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.0795432 + 1.73022i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.428520 + 0.428520i) q^{5} +(-1.69185 - 0.370982i) q^{6} +(-0.735180 + 0.196991i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.98735 + 0.275255i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.0795432 + 1.73022i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.428520 + 0.428520i) q^{5} +(-1.69185 - 0.370982i) q^{6} +(-0.735180 + 0.196991i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.98735 + 0.275255i) 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} +(-0.707349 + 0.775521i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.62362 - 4.54424i) q^{17} +(0.507306 - 2.95680i) q^{18} +(0.882911 + 3.29507i) q^{19} +(-0.156849 - 0.585369i) q^{20} +(-0.399317 - 1.25636i) q^{21} +(-2.10121 + 3.63939i) q^{22} +(-0.933306 - 1.61653i) q^{23} +(1.27970 + 1.16721i) 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} +(-0.566020 - 0.883966i) q^{30} +(-2.68240 + 2.68240i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.55902 + 7.10987i) q^{33} +(3.71035 + 3.71035i) q^{34} +(-0.399453 - 0.230625i) q^{35} +(2.72474 + 1.25529i) q^{36} +(1.52130 - 5.67758i) q^{37} -3.41130 q^{38} +(6.19889 + 0.757437i) q^{39} +0.606018 q^{40} +(-2.29545 + 8.56672i) q^{41} +(1.31690 - 0.0605415i) q^{42} +(1.68905 + 0.975173i) q^{43} +(-2.97155 - 2.97155i) q^{44} +(-1.39809 - 1.16218i) q^{45} +(1.80301 - 0.483115i) q^{46} +(-5.73474 + 5.73474i) q^{47} +(-1.45865 + 0.933998i) 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} +(5.15627 + 0.642559i) q^{54} +(1.27337 + 2.20554i) q^{55} +(-0.380557 + 0.659144i) q^{56} +(-5.63097 + 1.78973i) q^{57} +(-2.25335 - 8.40963i) q^{58} +(-2.23614 - 8.34539i) q^{59} +(1.00034 - 0.317946i) q^{60} +(4.06531 - 7.04132i) q^{61} +(-1.89674 - 3.28525i) q^{62} +(2.14201 - 0.790842i) 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} +(2.72273 - 1.74341i) q^{69} +(0.326152 - 0.326152i) q^{70} +(10.0749 - 2.69957i) q^{71} +(-1.91774 + 2.30701i) q^{72} +(5.57806 + 5.57806i) q^{73} +(5.09038 + 2.93893i) q^{74} +(8.01568 - 0.368503i) q^{75} +(0.882911 - 3.29507i) q^{76} -3.19851 q^{77} +(-2.33602 + 5.79163i) q^{78} -13.5805 q^{79} +(-0.156849 + 0.585369i) q^{80} +(8.84847 - 1.64456i) q^{81} +(-7.68071 - 4.43446i) q^{82} +(-0.996926 - 0.996926i) q^{83} +(-0.282360 + 1.28769i) q^{84} +(3.07156 - 0.823023i) q^{85} +(-1.37910 + 1.37910i) q^{86} +(-8.13166 - 12.6994i) 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} +(-4.85451 - 4.42778i) q^{93} +(-4.05507 - 7.02359i) q^{94} +(-1.03366 + 1.79035i) q^{95} +(-0.524648 - 1.65068i) q^{96} +(4.07638 + 15.2132i) q^{97} +(-1.66180 - 6.20192i) q^{98} +(-12.4257 - 2.13191i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 0.0795432 + 1.73022i 0.0459243 + 0.998945i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.428520 + 0.428520i 0.191640 + 0.191640i 0.796404 0.604765i \(-0.206733\pi\)
−0.604765 + 0.796404i \(0.706733\pi\)
\(6\) −1.69185 0.370982i −0.690697 0.151453i
\(7\) −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
\(9\) −2.98735 + 0.275255i −0.995782 + 0.0917517i
\(10\) −0.524827 + 0.303009i −0.165965 + 0.0958199i
\(11\) 4.05922 + 1.08766i 1.22390 + 0.327943i 0.812201 0.583377i \(-0.198269\pi\)
0.411699 + 0.911320i \(0.364936\pi\)
\(12\) 0.796225 1.53819i 0.229850 0.444037i
\(13\) 0.601205 3.55507i 0.166744 0.986000i
\(14\) 0.761114i 0.203416i
\(15\) −0.707349 + 0.775521i −0.182637 + 0.200239i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.62362 4.54424i 0.636320 1.10214i −0.349914 0.936782i \(-0.613789\pi\)
0.986234 0.165357i \(-0.0528776\pi\)
\(18\) 0.507306 2.95680i 0.119573 0.696923i
\(19\) 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
\(21\) −0.399317 1.25636i −0.0871381 0.274159i
\(22\) −2.10121 + 3.63939i −0.447978 + 0.775921i
\(23\) −0.933306 1.61653i −0.194608 0.337071i 0.752164 0.658976i \(-0.229010\pi\)
−0.946772 + 0.321905i \(0.895677\pi\)
\(24\) 1.27970 + 1.16721i 0.261217 + 0.238255i
\(25\) 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 \(-0.966311\pi\)
−0.405715 + 0.914000i \(0.632977\pi\)
\(30\) −0.566020 0.883966i −0.103341 0.161389i
\(31\) −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
\(33\) −1.55902 + 7.10987i −0.271390 + 1.23767i
\(34\) 3.71035 + 3.71035i 0.636320 + 0.636320i
\(35\) −0.399453 0.230625i −0.0675200 0.0389827i
\(36\) 2.72474 + 1.25529i 0.454124 + 0.209216i
\(37\) 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
\(39\) 6.19889 + 0.757437i 0.992617 + 0.121287i
\(40\) 0.606018 0.0958199
\(41\) −2.29545 + 8.56672i −0.358488 + 1.33790i 0.517549 + 0.855654i \(0.326845\pi\)
−0.876037 + 0.482243i \(0.839822\pi\)
\(42\) 1.31690 0.0605415i 0.203202 0.00934175i
\(43\) 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
\(45\) −1.39809 1.16218i −0.208415 0.173248i
\(46\) 1.80301 0.483115i 0.265839 0.0712314i
\(47\) −5.73474 + 5.73474i −0.836498 + 0.836498i −0.988396 0.151898i \(-0.951461\pi\)
0.151898 + 0.988396i \(0.451461\pi\)
\(48\) −1.45865 + 0.933998i −0.210537 + 0.134811i
\(49\) −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 \(-0.212524\pi\)
\(54\) 5.15627 + 0.642559i 0.701679 + 0.0874413i
\(55\) 1.27337 + 2.20554i 0.171701 + 0.297395i
\(56\) −0.380557 + 0.659144i −0.0508541 + 0.0880819i
\(57\) −5.63097 + 1.78973i −0.745841 + 0.237056i
\(58\) −2.25335 8.40963i −0.295880 1.10424i
\(59\) −2.23614 8.34539i −0.291121 1.08648i −0.944249 0.329231i \(-0.893211\pi\)
0.653129 0.757247i \(-0.273456\pi\)
\(60\) 1.00034 0.317946i 0.129144 0.0410467i
\(61\) 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
\(63\) 2.14201 0.790842i 0.269868 0.0996367i
\(64\) 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
\(69\) 2.72273 1.74341i 0.327778 0.209882i
\(70\) 0.326152 0.326152i 0.0389827 0.0389827i
\(71\) 10.0749 2.69957i 1.19567 0.320380i 0.394548 0.918875i \(-0.370901\pi\)
0.801126 + 0.598496i \(0.204235\pi\)
\(72\) −1.91774 + 2.30701i −0.226008 + 0.271883i
\(73\) 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
\(75\) 8.01568 0.368503i 0.925571 0.0425511i
\(76\) 0.882911 3.29507i 0.101277 0.377970i
\(77\) −3.19851 −0.364505
\(78\) −2.33602 + 5.79163i −0.264502 + 0.655773i
\(79\) −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
\(81\) 8.84847 1.64456i 0.983163 0.182729i
\(82\) −7.68071 4.43446i −0.848193 0.489704i
\(83\) −0.996926 0.996926i −0.109427 0.109427i 0.650273 0.759700i \(-0.274654\pi\)
−0.759700 + 0.650273i \(0.774654\pi\)
\(84\) −0.282360 + 1.28769i −0.0308080 + 0.140499i
\(85\) 3.07156 0.823023i 0.333158 0.0892694i
\(86\) −1.37910 + 1.37910i −0.148712 + 0.148712i
\(87\) −8.13166 12.6994i −0.871806 1.36152i
\(88\) 3.63939 2.10121i 0.387961 0.223989i
\(89\) 6.32442 + 1.69462i 0.670388 + 0.179630i 0.577929 0.816087i \(-0.303861\pi\)
0.0924582 + 0.995717i \(0.470528\pi\)
\(90\) 1.48444 1.04965i 0.156473 0.110643i
\(91\) 0.258323 + 2.73205i 0.0270796 + 0.286397i
\(92\) 1.86661i 0.194608i
\(93\) −4.85451 4.42778i −0.503389 0.459139i
\(94\) −4.05507 7.02359i −0.418249 0.724428i
\(95\) −1.03366 + 1.79035i −0.106051 + 0.183686i
\(96\) −0.524648 1.65068i −0.0535466 0.168472i
\(97\) 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
\(99\) −12.4257 2.13191i −1.24883 0.214265i
\(100\) −2.31637 + 4.01207i −0.231637 + 0.401207i
\(101\) 1.63630 + 2.83416i 0.162818 + 0.282009i 0.935878 0.352323i \(-0.114608\pi\)
−0.773060 + 0.634333i \(0.781275\pi\)
\(102\) −6.12461 + 6.71487i −0.606426 + 0.664871i
\(103\) 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 −0.625080 0.780560i \(-0.714934\pi\)
0.363445 + 0.931616i \(0.381600\pi\)
\(108\) −1.95521 + 4.81427i −0.188140 + 0.463253i
\(109\) −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
\(111\) 9.94450 + 2.18058i 0.943890 + 0.206972i
\(112\) −0.538189 0.538189i −0.0508541 0.0508541i
\(113\) 6.03730 + 3.48564i 0.567942 + 0.327901i 0.756327 0.654194i \(-0.226992\pi\)
−0.188385 + 0.982095i \(0.560325\pi\)
\(114\) −0.271346 5.90232i −0.0254139 0.552803i
\(115\) 0.292776 1.09266i 0.0273015 0.101891i
\(116\) 8.70629 0.808359
\(117\) −0.817456 + 10.7857i −0.0755738 + 0.997140i
\(118\) 8.63979 0.795357
\(119\) −1.03366 + 3.85766i −0.0947551 + 0.353631i
\(120\) 0.0482047 + 1.04855i 0.00440046 + 0.0957188i
\(121\) 5.76795 + 3.33013i 0.524359 + 0.302739i
\(122\) 5.74921 + 5.74921i 0.520509 + 0.520509i
\(123\) −15.0049 3.29021i −1.35295 0.296668i
\(124\) 3.66422 0.981825i 0.329057 0.0881705i
\(125\) 4.12782 4.12782i 0.369203 0.369203i
\(126\) 0.209501 + 2.27371i 0.0186638 + 0.202558i
\(127\) −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 \(0.415308\pi\)
−0.262938 + 0.964813i \(0.584692\pi\)
\(132\) 4.90508 5.37782i 0.426933 0.468079i
\(133\) −1.29820 2.24854i −0.112568 0.194973i
\(134\) 0.0523877 0.0907381i 0.00452561 0.00783858i
\(135\) 1.89963 2.51145i 0.163494 0.216151i
\(136\) −1.35808 5.06844i −0.116455 0.434615i
\(137\) −2.58408 9.64392i −0.220773 0.823935i −0.984054 0.177869i \(-0.943080\pi\)
0.763281 0.646066i \(-0.223587\pi\)
\(138\) 0.979314 + 3.08118i 0.0833647 + 0.262287i
\(139\) 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
\(141\) −10.3785 9.46622i −0.874031 0.797200i
\(142\) 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
\(147\) −5.99693 9.36553i −0.494618 0.772456i
\(148\) −4.15628 + 4.15628i −0.341644 + 0.341644i
\(149\) 8.42964 2.25872i 0.690583 0.185041i 0.103574 0.994622i \(-0.466972\pi\)
0.587009 + 0.809581i \(0.300305\pi\)
\(150\) −1.71866 + 7.83793i −0.140328 + 0.639964i
\(151\) −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
\(153\) −6.58682 + 14.2974i −0.532513 + 1.15587i
\(154\) 0.827836 3.08953i 0.0667090 0.248961i
\(155\) −2.29892 −0.184654
\(156\) −4.98968 3.75541i −0.399494 0.300673i
\(157\) 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
\(159\) 15.5980 0.717083i 1.23700 0.0568684i
\(160\) −0.524827 0.303009i −0.0414912 0.0239550i
\(161\) 1.00459 + 1.00459i 0.0791728 + 0.0791728i
\(162\) −0.701625 + 8.97261i −0.0551249 + 0.704955i
\(163\) −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
\(165\) −3.71479 + 2.37865i −0.289196 + 0.185178i
\(166\) 1.22098 0.704933i 0.0947664 0.0547134i
\(167\) −15.1927 4.07088i −1.17565 0.315014i −0.382450 0.923976i \(-0.624920\pi\)
−0.793200 + 0.608962i \(0.791586\pi\)
\(168\) −1.17074 0.606018i −0.0903244 0.0467553i
\(169\) −12.2771 4.27466i −0.944393 0.328820i
\(170\) 3.17992i 0.243889i
\(171\) −3.54454 9.60048i −0.271058 0.734167i
\(172\) −0.975173 1.68905i −0.0743562 0.128789i
\(173\) −2.71186 + 4.69708i −0.206179 + 0.357113i −0.950508 0.310701i \(-0.899436\pi\)
0.744329 + 0.667813i \(0.232770\pi\)
\(174\) 14.3713 4.56774i 1.08949 0.346279i
\(175\) 0.912608 + 3.40590i 0.0689867 + 0.257462i
\(176\) 1.08766 + 4.05922i 0.0819857 + 0.305975i
\(177\) 14.2615 4.53284i 1.07196 0.340709i
\(178\) −3.27376 + 5.67032i −0.245379 + 0.425009i
\(179\) −5.19042 8.99007i −0.387950 0.671949i 0.604224 0.796815i \(-0.293483\pi\)
−0.992174 + 0.124866i \(0.960150\pi\)
\(180\) 0.629688 + 1.70553i 0.0469342 + 0.127122i
\(181\) 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
\(186\) 5.53335 3.54310i 0.405725 0.259793i
\(187\) 15.5924 15.5924i 1.14023 1.14023i
\(188\) 7.83380 2.09906i 0.571339 0.153090i
\(189\) 1.53872 + 3.64326i 0.111925 + 0.265008i
\(190\) −1.46181 1.46181i −0.106051 0.106051i
\(191\) 4.96444 + 2.86622i 0.359214 + 0.207392i 0.668736 0.743500i \(-0.266836\pi\)
−0.309522 + 0.950892i \(0.600169\pi\)
\(192\) 1.73022 0.0795432i 0.124868 0.00574054i
\(193\) −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
\(195\) 2.33177 + 2.98092i 0.166982 + 0.213468i
\(196\) 6.42071 0.458622
\(197\) −1.21210 + 4.52361i −0.0863584 + 0.322294i −0.995568 0.0940449i \(-0.970020\pi\)
0.909210 + 0.416339i \(0.136687\pi\)
\(198\) 5.27526 11.4505i 0.374897 0.813751i
\(199\) 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
\(201\) 0.0388698 0.177265i 0.00274166 0.0125033i
\(202\) −3.16109 + 0.847012i −0.222414 + 0.0595956i
\(203\) 4.68563 4.68563i 0.328867 0.328867i
\(204\) −4.90090 7.65385i −0.343132 0.535877i
\(205\) −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
\(210\) 0.590260 + 0.538373i 0.0407318 + 0.0371513i
\(211\) 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
\(213\) 5.47225 + 17.2171i 0.374952 + 1.17970i
\(214\) −0.808823 3.01857i −0.0552900 0.206345i
\(215\) 0.305910 + 1.14167i 0.0208629 + 0.0778613i
\(216\) −4.14418 3.13461i −0.281976 0.213283i
\(217\) 1.44364 2.50045i 0.0980004 0.169742i
\(218\) −0.646293 1.11941i −0.0437725 0.0758161i
\(219\) −9.20760 + 10.0950i −0.622192 + 0.682156i
\(220\) 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
\(225\) 1.27519 + 13.8396i 0.0850124 + 0.922640i
\(226\) −4.92944 + 4.92944i −0.327901 + 0.327901i
\(227\) −4.85544 + 1.30101i −0.322267 + 0.0863512i −0.416326 0.909215i \(-0.636682\pi\)
0.0940589 + 0.995567i \(0.470016\pi\)
\(228\) 5.77143 + 1.26553i 0.382222 + 0.0838119i
\(229\) 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
\(231\) −0.254420 5.53414i −0.0167396 0.364120i
\(232\) −2.25335 + 8.40963i −0.147940 + 0.552120i
\(233\) −22.3807 −1.46621 −0.733103 0.680117i \(-0.761929\pi\)
−0.733103 + 0.680117i \(0.761929\pi\)
\(234\) −10.2066 3.58115i −0.667228 0.234107i
\(235\) −4.91490 −0.320613
\(236\) −2.23614 + 8.34539i −0.145560 + 0.543239i
\(237\) −1.08024 23.4973i −0.0701690 1.52631i
\(238\) −3.45868 1.99687i −0.224193 0.129438i
\(239\) 6.08236 + 6.08236i 0.393435 + 0.393435i 0.875910 0.482475i \(-0.160262\pi\)
−0.482475 + 0.875910i \(0.660262\pi\)
\(240\) −1.02529 0.224822i −0.0661825 0.0145122i
\(241\) 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
\(243\) 3.54930 + 15.1790i 0.227688 + 0.973734i
\(244\) −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
\(249\) 1.64561 1.80420i 0.104286 0.114337i
\(250\) 2.91881 + 5.05553i 0.184602 + 0.319739i
\(251\) −6.27808 + 10.8740i −0.396269 + 0.686358i −0.993262 0.115888i \(-0.963029\pi\)
0.596993 + 0.802246i \(0.296362\pi\)
\(252\) −2.25046 0.386118i −0.141766 0.0243231i
\(253\) −2.03025 7.57698i −0.127641 0.476361i
\(254\) −0.578452 2.15881i −0.0362953 0.135456i
\(255\) 1.66834 + 5.24903i 0.104475 + 0.328707i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.36891 + 4.10307i 0.147768 + 0.255942i 0.930402 0.366540i \(-0.119458\pi\)
−0.782634 + 0.622482i \(0.786124\pi\)
\(258\) −2.49585 2.27646i −0.155385 0.141726i
\(259\) 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 \(-0.610745\pi\)
0.643668 + 0.765304i \(0.277412\pi\)
\(264\) 3.92504 + 6.12983i 0.241570 + 0.377265i
\(265\) 3.86311 3.86311i 0.237309 0.237309i
\(266\) 2.50792 0.671996i 0.153771 0.0412027i
\(267\) −2.42901 + 11.0775i −0.148653 + 0.677930i
\(268\) 0.0740874 + 0.0740874i 0.00452561 + 0.00452561i
\(269\) 6.32711 + 3.65296i 0.385770 + 0.222725i 0.680326 0.732910i \(-0.261838\pi\)
−0.294555 + 0.955634i \(0.595172\pi\)
\(270\) 1.93421 + 2.48491i 0.117712 + 0.151227i
\(271\) −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
\(273\) −4.70651 + 0.664273i −0.284851 + 0.0402036i
\(274\) 9.98412 0.603162
\(275\) 5.03887 18.8053i 0.303855 1.13400i
\(276\) −3.22966 + 0.148476i −0.194402 + 0.00893723i
\(277\) −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
\(279\) 7.27490 8.75159i 0.435537 0.523944i
\(280\) −0.445532 + 0.119380i −0.0266257 + 0.00713432i
\(281\) 9.49571 9.49571i 0.566467 0.566467i −0.364670 0.931137i \(-0.618818\pi\)
0.931137 + 0.364670i \(0.118818\pi\)
\(282\) 11.8298 7.57486i 0.704456 0.451077i
\(283\) 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
\(288\) 2.81431 1.03906i 0.165835 0.0612271i
\(289\) −5.26672 9.12222i −0.309807 0.536601i
\(290\) 2.63809 4.56930i 0.154914 0.268319i
\(291\) −25.9981 + 8.26316i −1.52403 + 0.484395i
\(292\) −2.04171 7.61977i −0.119482 0.445914i
\(293\) −0.542185 2.02346i −0.0316748 0.118212i 0.948278 0.317440i \(-0.102823\pi\)
−0.979953 + 0.199228i \(0.936157\pi\)
\(294\) 10.5985 3.36861i 0.618119 0.196461i
\(295\) 2.61794 4.53440i 0.152422 0.264003i
\(296\) −2.93893 5.09038i −0.170822 0.295872i
\(297\) 2.70030 21.6688i 0.156687 1.25735i
\(298\) 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
\(303\) −4.77357 + 3.05661i −0.274234 + 0.175597i
\(304\) −2.41216 + 2.41216i −0.138347 + 0.138347i
\(305\) 4.75941 1.27528i 0.272523 0.0730223i
\(306\) −12.1054 10.0628i −0.692020 0.575253i
\(307\) 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
\(309\) −8.30300 + 0.381712i −0.472341 + 0.0217149i
\(310\) 0.595004 2.22059i 0.0337940 0.126121i
\(311\) 7.19354 0.407908 0.203954 0.978980i \(-0.434621\pi\)
0.203954 + 0.978980i \(0.434621\pi\)
\(312\) 4.91887 3.84769i 0.278476 0.217833i
\(313\) −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
\(315\) 1.25679 + 0.579004i 0.0708119 + 0.0326232i
\(316\) 11.7611 + 6.79025i 0.661612 + 0.381982i
\(317\) 3.93077 + 3.93077i 0.220774 + 0.220774i 0.808824 0.588050i \(-0.200104\pi\)
−0.588050 + 0.808824i \(0.700104\pi\)
\(318\) −3.34441 + 15.2521i −0.187545 + 0.855295i
\(319\) −35.3407 + 9.46952i −1.97870 + 0.530191i
\(320\) 0.428520 0.428520i 0.0239550 0.0239550i
\(321\) −2.91879 4.55834i −0.162911 0.254422i
\(322\) −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
\(327\) −1.65412 1.50871i −0.0914730 0.0834321i
\(328\) 4.43446 + 7.68071i 0.244852 + 0.424096i
\(329\) 3.08637 5.34576i 0.170157 0.294721i
\(330\) −1.33614 4.20385i −0.0735521 0.231414i
\(331\) −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
\(333\) −2.98188 + 17.3797i −0.163406 + 0.952399i
\(334\) 7.86434 13.6214i 0.430318 0.745332i
\(335\) −0.0317479 0.0549890i −0.00173457 0.00300437i
\(336\) 0.888378 0.973996i 0.0484650 0.0531359i
\(337\) 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
\(342\) 10.1907 0.938979i 0.551052 0.0507742i
\(343\) 7.22288 7.22288i 0.389999 0.389999i
\(344\) 1.88389 0.504787i 0.101572 0.0272163i
\(345\) 1.91383 + 0.419655i 0.103037 + 0.0225935i
\(346\) −3.83515 3.83515i −0.206179 0.206179i
\(347\) 18.7272 + 10.8122i 1.00533 + 0.580427i 0.909821 0.415001i \(-0.136219\pi\)
0.0955087 + 0.995429i \(0.469552\pi\)
\(348\) 0.692527 + 15.0638i 0.0371233 + 0.807506i
\(349\) −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
\(351\) −18.7267 0.556450i −0.999559 0.0297011i
\(352\) −4.20241 −0.223989
\(353\) 6.02369 22.4807i 0.320609 1.19653i −0.598045 0.801463i \(-0.704055\pi\)
0.918653 0.395065i \(-0.129278\pi\)
\(354\) 0.687237 + 14.9488i 0.0365262 + 0.794518i
\(355\) 5.47412 + 3.16049i 0.290536 + 0.167741i
\(356\) −4.62980 4.62980i −0.245379 0.245379i
\(357\) −6.75683 1.48161i −0.357609 0.0784149i
\(358\) 10.0271 2.68676i 0.529950 0.142000i
\(359\) −15.8859 + 15.8859i −0.838428 + 0.838428i −0.988652 0.150224i \(-0.952000\pi\)
0.150224 + 0.988652i \(0.452000\pi\)
\(360\) −1.81039 + 0.166810i −0.0954157 + 0.00879164i
\(361\) 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
\(366\) −9.49011 + 10.4047i −0.496056 + 0.543864i
\(367\) −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
\(369\) 4.49926 26.2236i 0.234222 1.36515i
\(370\) 0.921938 + 3.44072i 0.0479293 + 0.178874i
\(371\) 1.77587 + 6.62765i 0.0921988 + 0.344091i
\(372\) 1.99024 + 6.26182i 0.103189 + 0.324660i
\(373\) −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
\(375\) 7.47039 + 6.81371i 0.385769 + 0.351858i
\(376\) 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
\(381\) −2.08746 3.26003i −0.106944 0.167016i
\(382\) −4.05345 + 4.05345i −0.207392 + 0.207392i
\(383\) −12.2026 + 3.26967i −0.623523 + 0.167073i −0.556729 0.830694i \(-0.687944\pi\)
−0.0667943 + 0.997767i \(0.521277\pi\)
\(384\) −0.370982 + 1.69185i −0.0189316 + 0.0863371i
\(385\) −1.37063 1.37063i −0.0698536 0.0698536i
\(386\) −9.82453 5.67220i −0.500056 0.288707i
\(387\) −5.31419 2.44826i −0.270136 0.124452i
\(388\) 4.07638 15.2132i 0.206947 0.772336i
\(389\) 18.8229 0.954361 0.477180 0.878805i \(-0.341659\pi\)
0.477180 + 0.878805i \(0.341659\pi\)
\(390\) −3.48286 + 1.48080i −0.176361 + 0.0749831i
\(391\) −9.79455 −0.495332
\(392\) −1.66180 + 6.20192i −0.0839336 + 0.313245i
\(393\) −38.2130 + 1.75676i −1.92759 + 0.0886167i
\(394\) −4.05576 2.34159i −0.204326 0.117968i
\(395\) −5.81951 5.81951i −0.292812 0.292812i
\(396\) 9.69499 + 8.05912i 0.487192 + 0.404986i
\(397\) 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
\(399\) 3.78722 2.42503i 0.189598 0.121403i
\(400\) 4.01207 2.31637i 0.200604 0.115819i
\(401\) −23.3959 6.26891i −1.16833 0.313054i −0.378045 0.925787i \(-0.623403\pi\)
−0.790290 + 0.612733i \(0.790070\pi\)
\(402\) 0.161164 + 0.0834248i 0.00803815 + 0.00416085i
\(403\) 7.92345 + 11.1488i 0.394695 + 0.555361i
\(404\) 3.27260i 0.162818i
\(405\) 4.49647 + 3.08701i 0.223431 + 0.153395i
\(406\) 3.31324 + 5.73870i 0.164433 + 0.284807i
\(407\) 12.3506 21.3919i 0.612197 1.06036i
\(408\) 8.66150 2.75295i 0.428808 0.136291i
\(409\) 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
\(411\) 16.4806 5.23814i 0.812927 0.258379i
\(412\) 2.39940 4.15589i 0.118210 0.204746i
\(413\) 3.28793 + 5.69487i 0.161789 + 0.280226i
\(414\) −5.25323 + 1.93952i −0.258182 + 0.0953221i
\(415\) 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 \(-0.581392\pi\)
0.711405 + 0.702782i \(0.248059\pi\)
\(420\) −0.672799 + 0.430806i −0.0328292 + 0.0210212i
\(421\) −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
\(423\) 15.5531 18.7102i 0.756219 0.909720i
\(424\) −6.37457 6.37457i −0.309577 0.309577i
\(425\) −21.0523 12.1545i −1.02119 0.589581i
\(426\) −18.0468 + 0.829662i −0.874370 + 0.0401973i
\(427\) −1.60166 + 5.97746i −0.0775096 + 0.289270i
\(428\) 3.12505 0.151055
\(429\) 24.3388 + 9.81692i 1.17509 + 0.473965i
\(430\) −1.18195 −0.0569985
\(431\) −8.68719 + 32.4210i −0.418447 + 1.56167i 0.359381 + 0.933191i \(0.382988\pi\)
−0.777829 + 0.628476i \(0.783679\pi\)
\(432\) 4.10039 3.19168i 0.197280 0.153560i
\(433\) −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
\(435\) 1.95736 8.92652i 0.0938485 0.427994i
\(436\) 1.24854 0.334546i 0.0597943 0.0160218i
\(437\) 4.50256 4.50256i 0.215387 0.215387i
\(438\) −7.36791 11.5066i −0.352052 0.549808i
\(439\) 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 \(-0.592199\pi\)
0.285619 0.958343i \(-0.407801\pi\)
\(444\) −7.52190 6.86069i −0.356973 0.325594i
\(445\) 1.98396 + 3.43632i 0.0940487 + 0.162897i
\(446\) 1.77511 3.07458i 0.0840540 0.145586i
\(447\) 4.57860 + 14.4055i 0.216560 + 0.681357i
\(448\) 0.196991 + 0.735180i 0.00930694 + 0.0347340i
\(449\) 1.18156 + 4.40965i 0.0557613 + 0.208104i 0.988186 0.153261i \(-0.0489775\pi\)
−0.932424 + 0.361365i \(0.882311\pi\)
\(450\) −13.6981 2.35022i −0.645733 0.110790i
\(451\) −18.6354 + 32.2775i −0.877508 + 1.51989i
\(452\) −3.48564 6.03730i −0.163951 0.283971i
\(453\) 28.6675 31.4304i 1.34692 1.47673i
\(454\) 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
\(459\) −25.2616 10.2594i −1.17911 0.478869i
\(460\) −0.799880 + 0.799880i −0.0372946 + 0.0372946i
\(461\) −14.5525 + 3.89933i −0.677778 + 0.181610i −0.581256 0.813721i \(-0.697438\pi\)
−0.0965219 + 0.995331i \(0.530772\pi\)
\(462\) 5.41142 + 1.18659i 0.251762 + 0.0552052i
\(463\) −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
\(465\) −0.182863 3.97764i −0.00848009 0.184459i
\(466\) 5.79254 21.6181i 0.268334 1.00144i
\(467\) 12.7104 0.588168 0.294084 0.955780i \(-0.404985\pi\)
0.294084 + 0.955780i \(0.404985\pi\)
\(468\) 6.10080 8.93198i 0.282009 0.412881i
\(469\) 0.0797460 0.00368233
\(470\) 1.27207 4.74743i 0.0586762 0.218982i
\(471\) 0.880650 + 19.1559i 0.0405782 + 0.882656i
\(472\) −7.48228 4.31989i −0.344400 0.198839i
\(473\) 5.79555 + 5.79555i 0.266480 + 0.266480i
\(474\) 22.9762 + 5.03812i 1.05533 + 0.231409i
\(475\) 15.2652 4.09030i 0.700415 0.187676i
\(476\) 2.82400 2.82400i 0.129438 0.129438i
\(477\) 2.48143 + 26.9309i 0.113617 + 1.23308i
\(478\) −7.44934 + 4.30088i −0.340725 + 0.196718i
\(479\) 34.6068 + 9.27288i 1.58123 + 0.423689i 0.939306 0.343082i \(-0.111471\pi\)
0.641922 + 0.766770i \(0.278137\pi\)
\(480\) 0.482527 0.932171i 0.0220242 0.0425476i
\(481\) −19.2696 8.82174i −0.878619 0.402237i
\(482\) 6.14555i 0.279922i
\(483\) −1.65826 + 1.81807i −0.0754533 + 0.0827252i
\(484\) −3.33013 5.76795i −0.151369 0.262180i
\(485\) −4.77237 + 8.26598i −0.216702 + 0.375339i
\(486\) −15.5804 0.500258i −0.706743 0.0226921i
\(487\) −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
\(489\) −2.75726 8.67507i −0.124688 0.392300i
\(490\) 1.94553 3.36976i 0.0878902 0.152230i
\(491\) −14.9069 25.8195i −0.672740 1.16522i −0.977124 0.212670i \(-0.931784\pi\)
0.304385 0.952549i \(-0.401549\pi\)
\(492\) 11.3495 + 10.3519i 0.511677 + 0.466698i
\(493\) 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
\(498\) 1.31681 + 2.05649i 0.0590078 + 0.0921537i
\(499\) 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
\(501\) 5.83506 26.6106i 0.260691 1.18888i
\(502\) −8.87855 8.87855i −0.396269 0.396269i
\(503\) −36.8913 21.2992i −1.64490 0.949684i −0.979055 0.203594i \(-0.934738\pi\)
−0.665845 0.746090i \(-0.731929\pi\)
\(504\) 0.955423 2.07384i 0.0425579 0.0923763i
\(505\) −0.513305 + 1.91568i −0.0228418 + 0.0852466i
\(506\) 7.84427 0.348720
\(507\) 6.41955 21.5822i 0.285102 0.958497i
\(508\) 2.23497 0.0991607
\(509\) 4.37237 16.3179i 0.193802 0.723279i −0.798772 0.601634i \(-0.794517\pi\)
0.992574 0.121645i \(-0.0388168\pi\)
\(510\) −5.50197 + 0.252941i −0.243631 + 0.0112004i
\(511\) −5.19971 3.00205i −0.230021 0.132803i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 16.3290 6.89650i 0.720944 0.304488i
\(514\) −4.57638 + 1.22624i −0.201855 + 0.0540870i
\(515\) −2.05638 + 2.05638i −0.0906150 + 0.0906150i
\(516\) 2.84486 1.82162i 0.125238 0.0801923i
\(517\) −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 \(-0.135382\pi\)
\(522\) 9.04634 + 24.5022i 0.395948 + 1.07243i
\(523\) 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
\(525\) −5.82037 + 1.84993i −0.254022 + 0.0807376i
\(526\) 1.46723 + 5.47578i 0.0639743 + 0.238755i
\(527\) 5.15186 + 19.2270i 0.224419 + 0.837542i
\(528\) −6.93684 + 2.20478i −0.301887 + 0.0959509i
\(529\) 9.75788 16.9011i 0.424256 0.734832i
\(530\) 2.73163 + 4.73132i 0.118654 + 0.205516i
\(531\) 8.97724 + 24.3151i 0.389579 + 1.05518i
\(532\) 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
\(537\) 15.1420 9.69568i 0.653424 0.418400i
\(538\) −5.16606 + 5.16606i −0.222725 + 0.222725i
\(539\) −26.0630 + 6.98357i −1.12261 + 0.300804i
\(540\) −2.90085 + 1.22516i −0.124833 + 0.0527227i
\(541\) 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
\(543\) 19.2352 0.884298i 0.825463 0.0379488i
\(544\) −1.35808 + 5.06844i −0.0582273 + 0.217307i
\(545\) −0.783330 −0.0335542
\(546\) 0.576496 4.71807i 0.0246718 0.201915i
\(547\) −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
\(549\) −10.2063 + 22.1538i −0.435595 + 0.945503i
\(550\) 16.8604 + 9.73434i 0.718929 + 0.415074i
\(551\) −21.0009 21.0009i −0.894670 0.894670i
\(552\) 0.692479 3.15804i 0.0294739 0.134415i
\(553\) 9.98412 2.67524i 0.424568 0.113763i
\(554\) 6.18454 6.18454i 0.262756 0.262756i
\(555\) 3.32699 + 5.19583i 0.141223 + 0.220551i
\(556\) −3.26061 + 1.88252i −0.138281 + 0.0798365i
\(557\) −1.16825 0.313031i −0.0495002 0.0132635i 0.233984 0.972240i \(-0.424824\pi\)
−0.283484 + 0.958977i \(0.591490\pi\)
\(558\) 6.57050 + 9.29209i 0.278152 + 0.393366i
\(559\) 4.48228 5.41841i 0.189580 0.229175i
\(560\) 0.461249i 0.0194913i
\(561\) 28.2186 + 25.7381i 1.19139 + 1.08666i
\(562\) 6.71448 + 11.6298i 0.283233 + 0.490575i
\(563\) −12.2059 + 21.1412i −0.514416 + 0.890994i 0.485444 + 0.874267i \(0.338658\pi\)
−0.999860 + 0.0167265i \(0.994676\pi\)
\(564\) 4.25497 + 13.3873i 0.179167 + 0.563705i
\(565\) 1.09344 + 4.08077i 0.0460013 + 0.171679i
\(566\) 8.13627 + 30.3650i 0.341993 + 1.27633i
\(567\) −6.18125 + 2.95212i −0.259588 + 0.123977i
\(568\) 5.21517 9.03293i 0.218823 0.379013i
\(569\) 2.98833 + 5.17593i 0.125277 + 0.216986i 0.921841 0.387568i \(-0.126685\pi\)
−0.796564 + 0.604554i \(0.793351\pi\)
\(570\) 2.41298 2.64554i 0.101069 0.110809i
\(571\) 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
\(576\) 0.275255 + 2.98735i 0.0114690 + 0.124473i
\(577\) 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
\(579\) −19.1931 4.20856i −0.797637 0.174902i
\(580\) 3.73082 + 3.73082i 0.154914 + 0.154914i
\(581\) 0.929305 + 0.536534i 0.0385541 + 0.0222592i
\(582\) −1.25280 27.2509i −0.0519302 1.12958i
\(583\) 9.80530 36.5939i 0.406094 1.51556i
\(584\) 7.88857 0.326431
\(585\) −4.97219 + 4.27160i −0.205575 + 0.176609i
\(586\) 2.09484 0.0865371
\(587\) −3.99377 + 14.9050i −0.164841 + 0.615194i 0.833220 + 0.552942i \(0.186495\pi\)
−0.998060 + 0.0622518i \(0.980172\pi\)
\(588\) 0.510724 + 11.1093i 0.0210619 + 0.458138i
\(589\) −11.2070 6.47036i −0.461776 0.266607i
\(590\) 3.70232 + 3.70232i 0.152422 + 0.152422i
\(591\) −7.92327 1.73738i −0.325920 0.0714661i
\(592\) 5.67758 1.52130i 0.233347 0.0625252i
\(593\) −19.1066 + 19.1066i −0.784613 + 0.784613i −0.980605 0.195992i \(-0.937207\pi\)
0.195992 + 0.980605i \(0.437207\pi\)
\(594\) 20.2315 + 8.21658i 0.830110 + 0.337130i
\(595\) −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 \(0.896357\pi\)
\(600\) 5.40737 5.92851i 0.220755 0.242030i
\(601\) 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
\(603\) 0.309799 + 0.0531532i 0.0126160 + 0.00216456i
\(604\) 6.35679 + 23.7239i 0.258654 + 0.965311i
\(605\) 1.04465 + 3.89870i 0.0424713 + 0.158505i
\(606\) −1.71696 5.40202i −0.0697469 0.219442i
\(607\) −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
\(609\) 8.47990 + 7.73448i 0.343623 + 0.313417i
\(610\) 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
\(615\) −5.01999 7.83983i −0.202425 0.316132i
\(616\) −2.26169 + 2.26169i −0.0911261 + 0.0911261i
\(617\) 12.1675 3.26027i 0.489845 0.131254i −0.00543815 0.999985i \(-0.501731\pi\)
0.495283 + 0.868732i \(0.335064\pi\)
\(618\) 1.78027 8.11888i 0.0716129 0.326589i
\(619\) −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
\(621\) −7.65384 + 5.95762i −0.307138 + 0.239071i
\(622\) −1.86183 + 6.94843i −0.0746524 + 0.278607i
\(623\) −4.98342 −0.199656
\(624\) 2.44349 + 5.74712i 0.0978178 + 0.230069i
\(625\) −19.6260 −0.785040
\(626\) 3.79222 14.1527i 0.151567 0.565657i
\(627\) −24.8040 + 1.14031i −0.990575 + 0.0455395i
\(628\) −9.58806 5.53567i −0.382605 0.220897i
\(629\) −21.8090 21.8090i −0.869580 0.869580i
\(630\) −0.884555 + 1.06411i −0.0352415 + 0.0423950i
\(631\) −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
\(633\) −7.70103 + 4.93112i −0.306089 + 0.195994i
\(634\) −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
\(639\) −29.3542 + 10.8377i −1.16123 + 0.428734i
\(640\) 0.303009 + 0.524827i 0.0119775 + 0.0207456i
\(641\) 5.92602 10.2642i 0.234064 0.405410i −0.724936 0.688816i \(-0.758131\pi\)
0.959000 + 0.283406i \(0.0914642\pi\)
\(642\) 5.15846 1.63955i 0.203588 0.0647079i
\(643\) −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
\(645\) −1.95101 + 0.620105i −0.0768211 + 0.0244166i
\(646\) −8.94995 + 15.5018i −0.352131 + 0.609909i
\(647\) 9.84613 + 17.0540i 0.387091 + 0.670462i 0.992057 0.125790i \(-0.0401465\pi\)
−0.604966 + 0.796251i \(0.706813\pi\)
\(648\) 5.09393 7.41970i 0.200108 0.291473i
\(649\) 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 \(-0.266528\pi\)
0.978057 0.208339i \(-0.0668056\pi\)
\(654\) 1.88542 1.20727i 0.0737259 0.0472081i
\(655\) −9.46410 + 9.46410i −0.369793 + 0.369793i
\(656\) −8.56672 + 2.29545i −0.334474 + 0.0896221i
\(657\) −18.1990 15.1282i −0.710010 0.590208i
\(658\) 4.36479 + 4.36479i 0.170157 + 0.170157i
\(659\) 3.21116 + 1.85397i 0.125089 + 0.0722202i 0.561239 0.827654i \(-0.310325\pi\)
−0.436150 + 0.899874i \(0.643658\pi\)
\(660\) 4.40643 0.202576i 0.171520 0.00788525i
\(661\) 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
\(663\) 19.7055 26.1820i 0.765298 1.01682i
\(664\) −1.40987 −0.0547134
\(665\) 0.407242 1.51985i 0.0157922 0.0589371i
\(666\) −16.0157 7.37846i −0.620595 0.285909i
\(667\) 14.0740 + 8.12564i 0.544948 + 0.314626i
\(668\) 11.1219 + 11.1219i 0.430318 + 0.430318i
\(669\) 1.31707 6.00646i 0.0509208 0.232223i
\(670\) 0.0613322 0.0164339i 0.00236947 0.000634898i
\(671\) 24.1605 24.1605i 0.932708 0.932708i
\(672\) 0.710879 + 1.11020i 0.0274228 + 0.0428267i
\(673\) 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 \(-0.843757\pi\)
0.881932 0.471376i \(-0.156243\pi\)
\(678\) −8.92113 8.13692i −0.342614 0.312497i
\(679\) −5.99374 10.3815i −0.230019 0.398404i
\(680\) 1.58996 2.75389i 0.0609721 0.105607i
\(681\) −2.63726 8.29751i −0.101060 0.317961i
\(682\) −4.12603 15.3986i −0.157994 0.589641i
\(683\) 6.94368 + 25.9142i 0.265693 + 0.991578i 0.961825 + 0.273665i \(0.0882359\pi\)
−0.696133 + 0.717913i \(0.745097\pi\)
\(684\) −1.73057 + 10.0865i −0.0661702 + 0.385668i
\(685\) 3.02528 5.23994i 0.115590 0.200208i
\(686\) 5.10734 + 8.84618i 0.194999 + 0.337749i
\(687\) −18.7995 + 20.6113i −0.717245 + 0.786371i
\(688\) 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
\(693\) 9.55507 0.880407i 0.362967 0.0334439i
\(694\) −15.2907 + 15.2907i −0.580427 + 0.580427i
\(695\) 2.20393 0.590542i 0.0835999 0.0224005i
\(696\) −14.7298 3.22988i −0.558331 0.122428i
\(697\) 32.9068 + 32.9068i 1.24644 + 1.24644i
\(698\) −1.68633 0.973604i −0.0638286 0.0368515i
\(699\) −1.78023 38.7236i −0.0673345 1.46466i
\(700\) 0.912608 3.40590i 0.0344933 0.128731i
\(701\) 48.3500 1.82616 0.913078 0.407785i \(-0.133699\pi\)
0.913078 + 0.407785i \(0.133699\pi\)
\(702\) 5.38432 17.9446i 0.203218 0.677276i
\(703\) 20.0512 0.756245
\(704\) 1.08766 4.05922i 0.0409929 0.152987i
\(705\) −0.390947 8.50387i −0.0147239 0.320274i
\(706\) 20.1557 + 11.6369i 0.758568 + 0.437959i
\(707\) −1.76128 1.76128i −0.0662397 0.0662397i
\(708\) −14.6173 3.20521i −0.549351 0.120459i
\(709\) 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
\(711\) 40.5697 3.73810i 1.52148 0.140190i
\(712\) 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
\(717\) −10.0400 + 11.0077i −0.374952 + 0.411089i
\(718\) −11.2331 19.4562i −0.419214 0.726100i
\(719\) 21.4236 37.1068i 0.798966 1.38385i −0.121324 0.992613i \(-0.538714\pi\)
0.920290 0.391237i \(-0.127953\pi\)
\(720\) 0.307437 1.79187i 0.0114575 0.0667791i
\(721\) −0.945320 3.52798i −0.0352056 0.131389i
\(722\) 1.90569 + 7.11211i 0.0709223 + 0.264685i
\(723\) 3.22425 + 10.1443i 0.119911 + 0.377272i
\(724\) −5.55860 + 9.62777i −0.206584 + 0.357813i
\(725\) 20.1670 + 34.9303i 0.748984 + 1.29728i
\(726\) −8.52312 7.77390i −0.316322 0.288516i
\(727\) 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
\(732\) −7.59398 11.8597i −0.280682 0.438347i
\(733\) −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
\(735\) 1.44351 6.58312i 0.0532448 0.242822i
\(736\) 1.31989 + 1.31989i 0.0486519 + 0.0486519i
\(737\) −0.381319 0.220155i −0.0140461 0.00810950i
\(738\) 24.1656 + 11.1331i 0.889546 + 0.409816i
\(739\) −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
\(741\) 2.97726 + 21.0945i 0.109372 + 0.774927i
\(742\) −6.86145 −0.251892
\(743\) 9.58365 35.7667i 0.351590 1.31215i −0.533132 0.846032i \(-0.678985\pi\)
0.884722 0.466119i \(-0.154348\pi\)
\(744\) −6.56357 + 0.301746i −0.240632 + 0.0110625i
\(745\) 4.58017 + 2.64436i 0.167804 + 0.0968820i
\(746\) −8.07209 8.07209i −0.295540 0.295540i
\(747\) 3.25257 + 2.70375i 0.119005 + 0.0989251i
\(748\) −21.2996 + 5.70722i −0.778792 + 0.208677i
\(749\) 1.68187 1.68187i 0.0614542 0.0614542i
\(750\) −8.51502 + 5.45232i −0.310924 + 0.199091i
\(751\) −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
\(756\) 0.489061 3.92451i 0.0177870 0.142733i
\(757\) −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
\(759\) 12.9484 4.11548i 0.469997 0.149382i
\(760\) 0.535060 + 1.99687i 0.0194087 + 0.0724341i
\(761\) −0.210189 0.784436i −0.00761934 0.0284358i 0.962012 0.273009i \(-0.0880188\pi\)
−0.969631 + 0.244573i \(0.921352\pi\)
\(762\) 3.68922 1.17257i 0.133646 0.0424777i
\(763\) 0.491903 0.852000i 0.0178081 0.0308445i
\(764\) −2.86622 4.96444i −0.103696 0.179607i
\(765\) −8.94929 + 3.30412i −0.323562 + 0.119461i
\(766\) 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 \(0.655738\pi\)
\(770\) 1.67867