Properties

Label 78.2.k.a.59.2
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 59.2
Root \(0.500000 + 2.00333i\) of defining polynomial
Character \(\chi\) \(=\) 78.59
Dual form 78.2.k.a.41.2

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

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

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
\(3\) 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 −0.604765 0.796404i \(-0.706733\pi\)
0.796404 + 0.604765i \(0.206733\pi\)
\(6\) −1.69185 + 0.370982i −0.690697 + 0.151453i
\(7\) −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
\(9\) −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 0.411699 0.911320i \(-0.364936\pi\)
0.812201 + 0.583377i \(0.198269\pi\)
\(12\) 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 0.986234 + 0.165357i \(0.0528776\pi\)
−0.349914 + 0.936782i \(0.613789\pi\)
\(18\) 0.507306 + 2.95680i 0.119573 + 0.696923i
\(19\) 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
\(21\) −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 −0.946772 0.321905i \(-0.895677\pi\)
0.752164 + 0.658976i \(0.229010\pi\)
\(24\) 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 −0.405715 0.914000i \(-0.632977\pi\)
−0.994404 + 0.105641i \(0.966311\pi\)
\(30\) −0.566020 + 0.883966i −0.103341 + 0.161389i
\(31\) −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
\(33\) −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 0.970751 + 0.240090i \(0.0771769\pi\)
−0.720650 + 0.693299i \(0.756156\pi\)
\(38\) −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 −0.876037 0.482243i \(-0.839822\pi\)
0.517549 0.855654i \(-0.326845\pi\)
\(42\) 1.31690 + 0.0605415i 0.203202 + 0.00934175i
\(43\) 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
\(45\) −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 0.151898 0.988396i \(-0.451461\pi\)
−0.988396 + 0.151898i \(0.951461\pi\)
\(48\) −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 \(0.212524\pi\)
−0.785270 + 0.619153i \(0.787476\pi\)
\(54\) 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 0.653129 + 0.757247i \(0.273456\pi\)
−0.944249 + 0.329231i \(0.893211\pi\)
\(60\) 1.00034 + 0.317946i 0.129144 + 0.0410467i
\(61\) 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
\(63\) 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 −0.264996 0.964250i \(-0.585371\pi\)
0.252632 + 0.967563i \(0.418704\pi\)
\(68\) −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 0.801126 0.598496i \(-0.204235\pi\)
0.394548 + 0.918875i \(0.370901\pi\)
\(72\) −1.91774 2.30701i −0.226008 0.271883i
\(73\) 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
\(75\) 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 −0.759700 0.650273i \(-0.774654\pi\)
0.650273 + 0.759700i \(0.274654\pi\)
\(84\) −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 0.0924582 0.995717i \(-0.470528\pi\)
0.577929 + 0.816087i \(0.303861\pi\)
\(90\) 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 −0.373148 0.927772i \(-0.621722\pi\)
0.787042 0.616900i \(-0.211612\pi\)
\(98\) −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 −0.773060 0.634333i \(-0.781275\pi\)
0.935878 + 0.352323i \(0.114608\pi\)
\(102\) −6.12461 6.71487i −0.606426 0.664871i
\(103\) 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 0.363445 0.931616i \(-0.381600\pi\)
−0.625080 + 0.780560i \(0.714934\pi\)
\(108\) −1.95521 4.81427i −0.188140 0.463253i
\(109\) −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
\(111\) 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 −0.188385 0.982095i \(-0.560325\pi\)
0.756327 + 0.654194i \(0.226992\pi\)
\(114\) −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 0.411660 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 \(-0.584692\pi\)
0.262938 0.964813i \(-0.415308\pi\)
\(132\) 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 0.763281 + 0.646066i \(0.223587\pi\)
−0.984054 + 0.177869i \(0.943080\pi\)
\(138\) 0.979314 3.08118i 0.0833647 0.262287i
\(139\) 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
\(141\) −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 0.587009 0.809581i \(-0.300305\pi\)
0.103574 + 0.994622i \(0.466972\pi\)
\(150\) −1.71866 7.83793i −0.140328 0.639964i
\(151\) −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
\(153\) −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 0.0544714 0.998515i \(-0.482653\pi\)
−0.452084 + 0.891975i \(0.649319\pi\)
\(164\) 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 −0.793200 0.608962i \(-0.791586\pi\)
−0.382450 + 0.923976i \(0.624920\pi\)
\(168\) −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 0.744329 0.667813i \(-0.232770\pi\)
−0.950508 + 0.310701i \(0.899436\pi\)
\(174\) 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 −0.992174 0.124866i \(-0.960150\pi\)
0.604224 + 0.796815i \(0.293483\pi\)
\(180\) 0.629688 1.70553i 0.0469342 0.127122i
\(181\) 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
\(186\) 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 −0.309522 0.950892i \(-0.600169\pi\)
0.668736 + 0.743500i \(0.266836\pi\)
\(192\) 1.73022 + 0.0795432i 0.124868 + 0.00574054i
\(193\) −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
\(195\) 2.33177 2.98092i 0.166982 0.213468i
\(196\) 6.42071 0.458622
\(197\) −1.21210 4.52361i −0.0863584 0.322294i 0.909210 0.416339i \(-0.136687\pi\)
−0.995568 + 0.0940449i \(0.970020\pi\)
\(198\) 5.27526 + 11.4505i 0.374897 + 0.813751i
\(199\) 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
\(201\) 0.0388698 + 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 −0.760739 0.649057i \(-0.775163\pi\)
0.942470 + 0.334291i \(0.108497\pi\)
\(212\) −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 −0.371804 0.928311i \(-0.621261\pi\)
0.142164 + 0.989843i \(0.454594\pi\)
\(224\) 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 0.0940589 0.995567i \(-0.470016\pi\)
−0.416326 + 0.909215i \(0.636682\pi\)
\(228\) 5.77143 1.26553i 0.382222 0.0838119i
\(229\) 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
\(231\) −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 −0.482475 0.875910i \(-0.660262\pi\)
0.875910 + 0.482475i \(0.160262\pi\)
\(240\) −1.02529 + 0.224822i −0.0661825 + 0.0145122i
\(241\) 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
\(243\) 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 0.596993 0.802246i \(-0.296362\pi\)
−0.993262 + 0.115888i \(0.963029\pi\)
\(252\) −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 −0.782634 0.622482i \(-0.786124\pi\)
0.930402 + 0.366540i \(0.119458\pi\)
\(258\) −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 0.643668 0.765304i \(-0.277412\pi\)
−0.340939 + 0.940085i \(0.610745\pi\)
\(264\) 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 −0.294555 0.955634i \(-0.595172\pi\)
0.680326 + 0.732910i \(0.261838\pi\)
\(270\) 1.93421 2.48491i 0.117712 0.151227i
\(271\) −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
\(273\) −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 −0.709984 0.704217i \(-0.751298\pi\)
0.254878 + 0.966973i \(0.417965\pi\)
\(278\) 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 0.931137 0.364670i \(-0.118818\pi\)
−0.364670 + 0.931137i \(0.618818\pi\)
\(282\) 11.8298 + 7.57486i 0.704456 + 0.451077i
\(283\) 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
\(288\) 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 −0.979953 0.199228i \(-0.936157\pi\)
0.948278 + 0.317440i \(0.102823\pi\)
\(294\) 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 −0.650394 0.759597i \(-0.725396\pi\)
0.759597 + 0.650394i \(0.225396\pi\)
\(308\) 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 −0.588050 0.808824i \(-0.700104\pi\)
0.808824 + 0.588050i \(0.200104\pi\)
\(318\) −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 0.670704 + 0.741725i \(0.265992\pi\)
−0.951709 + 0.307000i \(0.900675\pi\)
\(332\) 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 \(0.147287\pi\)
−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
\(342\) 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 0.0955087 0.995429i \(-0.469552\pi\)
0.909821 + 0.415001i \(0.136219\pi\)
\(348\) 0.692527 15.0638i 0.0371233 0.807506i
\(349\) −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
\(351\) −18.7267 + 0.556450i −0.999559 + 0.0297011i
\(352\) −4.20241 −0.223989
\(353\) 6.02369 + 22.4807i 0.320609 + 1.19653i 0.918653 + 0.395065i \(0.129278\pi\)
−0.598045 + 0.801463i \(0.704055\pi\)
\(354\) 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 0.150224 0.988652i \(-0.452000\pi\)
−0.988652 + 0.150224i \(0.952000\pi\)
\(360\) −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 −0.873772 0.486337i \(-0.838333\pi\)
0.858066 + 0.513540i \(0.171666\pi\)
\(368\) 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 0.679570 0.733611i \(-0.262166\pi\)
−0.975110 + 0.221720i \(0.928833\pi\)
\(374\) 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 0.863823 0.503795i \(-0.168063\pi\)
0.999990 + 0.00438723i \(0.00139650\pi\)
\(380\) 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 −0.0667943 0.997767i \(-0.521277\pi\)
−0.556729 + 0.830694i \(0.687944\pi\)
\(384\) −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 0.536210 0.844084i \(-0.319855\pi\)
0.0423297 + 0.999104i \(0.486522\pi\)
\(398\) −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 −0.790290 0.612733i \(-0.790070\pi\)
−0.378045 + 0.925787i \(0.623403\pi\)
\(402\) 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 −0.551116 0.834429i \(-0.685798\pi\)
0.894495 0.447078i \(-0.147535\pi\)
\(410\) −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 0.711405 0.702782i \(-0.248059\pi\)
−0.252924 + 0.967486i \(0.581392\pi\)
\(420\) −0.672799 0.430806i −0.0328292 0.0210212i
\(421\) −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
\(423\) 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 −0.777829 0.628476i \(-0.783679\pi\)
0.359381 0.933191i \(-0.382988\pi\)
\(432\) 4.10039 + 3.19168i 0.197280 + 0.153560i
\(433\) −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
\(435\) 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 0.774714 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 \(0.407801\pi\)
−0.285619 + 0.958343i \(0.592199\pi\)
\(444\) −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 −0.932424 0.361365i \(-0.882311\pi\)
0.988186 + 0.153261i \(0.0489775\pi\)
\(450\) −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 0.389914 0.920851i \(-0.372505\pi\)
0.798101 + 0.602524i \(0.205838\pi\)
\(458\) −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 −0.0965219 0.995331i \(-0.530772\pi\)
−0.581256 + 0.813721i \(0.697438\pi\)
\(462\) 5.41142 1.18659i 0.251762 0.0552052i
\(463\) −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
\(465\) −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 0.641922 0.766770i \(-0.278137\pi\)
0.939306 + 0.343082i \(0.111471\pi\)
\(480\) 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 −0.994095 0.108517i \(-0.965390\pi\)
0.915169 + 0.403069i \(0.132057\pi\)
\(488\) −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 0.304385 + 0.952549i \(0.401549\pi\)
−0.977124 + 0.212670i \(0.931784\pi\)
\(492\) 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 0.987764 + 0.155954i \(0.0498453\pi\)
0.155954 + 0.987764i \(0.450155\pi\)
\(500\) −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 −0.665845 + 0.746090i \(0.731929\pi\)
−0.979055 + 0.203594i \(0.934738\pi\)
\(504\) 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 0.992574 + 0.121645i \(0.0388168\pi\)
−0.798772 + 0.601634i \(0.794517\pi\)
\(510\) −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 \(0.135382\pi\)
−0.910909 + 0.412607i \(0.864618\pi\)
\(522\) 9.04634 24.5022i 0.395948 1.07243i
\(523\) 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
\(525\) −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 −0.348179 0.937428i \(-0.613200\pi\)
0.937428 + 0.348179i \(0.113200\pi\)
\(542\) −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 −0.283484 0.958977i \(-0.591490\pi\)
0.233984 + 0.972240i \(0.424824\pi\)
\(558\) 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 −0.999860 0.0167265i \(-0.994676\pi\)
0.485444 0.874267i \(-0.338658\pi\)
\(564\) 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 −0.796564 0.604554i \(-0.793351\pi\)
0.921841 + 0.387568i \(0.126685\pi\)
\(570\) 2.41298 + 2.64554i 0.101069 + 0.110809i
\(571\) 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
\(576\) 0.275255 2.98735i 0.0114690 0.124473i
\(577\) 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
\(579\) −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 −0.998060 0.0622518i \(-0.980172\pi\)
0.833220 0.552942i \(-0.186495\pi\)
\(588\) 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 0.195992 0.980605i \(-0.437207\pi\)
−0.980605 + 0.195992i \(0.937207\pi\)
\(594\) 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 \(-0.896357\pi\)
0.947457 0.319882i \(-0.103643\pi\)
\(600\) 5.40737 + 5.92851i 0.220755 + 0.242030i
\(601\) 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
\(603\) 0.309799 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 0.713903 0.700245i \(-0.246926\pi\)
−0.963381 + 0.268135i \(0.913593\pi\)
\(608\) −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 −0.462403 0.886670i \(-0.653013\pi\)
0.0428820 + 0.999080i \(0.486346\pi\)
\(614\) −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 0.495283 0.868732i \(-0.335064\pi\)
−0.00543815 + 0.999985i \(0.501731\pi\)
\(618\) 1.78027 + 8.11888i 0.0716129 + 0.326589i
\(619\) −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
\(621\) −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 −0.251943 0.967742i \(-0.581069\pi\)
−0.702060 + 0.712118i \(0.747736\pi\)
\(632\) −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 0.959000 0.283406i \(-0.0914642\pi\)
−0.724936 + 0.688816i \(0.758131\pi\)
\(642\) 5.15846 + 1.63955i 0.203588 + 0.0647079i
\(643\) −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
\(645\) −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 −0.604966 0.796251i \(-0.706813\pi\)
0.992057 + 0.125790i \(0.0401465\pi\)
\(648\) 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 0.978057 + 0.208339i \(0.0668056\pi\)
0.669455 + 0.742853i \(0.266528\pi\)
\(654\) 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 −0.436150 0.899874i \(-0.643658\pi\)
0.561239 + 0.827654i \(0.310325\pi\)
\(660\) 4.40643 + 0.202576i 0.171520 + 0.00788525i
\(661\) 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
\(663\) 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 0.595832 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 \(0.156243\pi\)
−0.881932 + 0.471376i \(0.843757\pi\)
\(678\) −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 −0.696133 0.717913i \(-0.745097\pi\)
0.961825 0.273665i \(-0.0882359\pi\)
\(684\) −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 −0.447176 0.894446i \(-0.647570\pi\)
0.0599568 + 0.998201i \(0.480904\pi\)
\(692\) 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 0.749512 0.661991i \(-0.230288\pi\)
0.318100 + 0.948057i \(0.396955\pi\)
\(710\) −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 0.920290 + 0.391237i \(0.127953\pi\)
−0.121324 + 0.992613i \(0.538714\pi\)
\(720\) 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 \(-0.988628\pi\)
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
\(732\) −7.59398 + 11.8597i −0.280682 + 0.438347i
\(733\) −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
\(735\) 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 0.958663 0.284543i \(-0.0918418\pi\)
−0.972498 + 0.232910i \(0.925175\pi\)
\(740\) −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 0.884722 + 0.466119i \(0.154348\pi\)
−0.533132 + 0.846032i \(0.678985\pi\)
\(744\) −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 0.237561 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
\(756\) 0.489061 + 3.92451i 0.0177870 + 0.142733i
\(757\) −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
\(759\) 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 −0.969631 0.244573i \(-0.921352\pi\)
0.962012 + 0.273009i \(0.0880188\pi\)
\(762\) 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 −0.469977 0.882678i \(-0.655738\pi\)
0.0343269 + 0.999411i \(0.489071\pi\)
\(770\) 1.67867 + 0.969179i