Properties

Label 273.2.by.d.223.2
Level $273$
Weight $2$
Character 273.223
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 223.2
Character \(\chi\) \(=\) 273.223
Dual form 273.2.by.d.202.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.11902 - 0.567791i) q^{2} +(0.866025 - 0.500000i) q^{3} +(2.43582 + 1.40632i) q^{4} +(-3.00219 - 3.00219i) q^{5} +(-2.11902 + 0.567791i) q^{6} +(-2.60148 + 0.481982i) q^{7} +(-1.26060 - 1.26060i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-2.11902 - 0.567791i) q^{2} +(0.866025 - 0.500000i) q^{3} +(2.43582 + 1.40632i) q^{4} +(-3.00219 - 3.00219i) q^{5} +(-2.11902 + 0.567791i) q^{6} +(-2.60148 + 0.481982i) q^{7} +(-1.26060 - 1.26060i) q^{8} +(0.500000 - 0.866025i) q^{9} +(4.65710 + 8.06633i) q^{10} +(-0.698323 + 2.60618i) q^{11} +2.81265 q^{12} +(0.373866 + 3.58612i) q^{13} +(5.78626 + 0.455764i) q^{14} +(-4.10107 - 1.09888i) q^{15} +(-0.857159 - 1.48464i) q^{16} +(0.599399 - 1.03819i) q^{17} +(-1.55123 + 1.55123i) q^{18} +(1.89568 - 0.507945i) q^{19} +(-3.09075 - 11.5349i) q^{20} +(-2.01196 + 1.71815i) q^{21} +(2.95953 - 5.12605i) q^{22} +(-4.65282 + 2.68631i) q^{23} +(-1.72201 - 0.461412i) q^{24} +13.0263i q^{25} +(1.24393 - 7.81134i) q^{26} -1.00000i q^{27} +(-7.01456 - 2.48450i) q^{28} +(1.47928 + 2.56220i) q^{29} +(8.06633 + 4.65710i) q^{30} +(-3.36721 - 3.36721i) q^{31} +(1.89620 + 7.07671i) q^{32} +(0.698323 + 2.60618i) q^{33} +(-1.85961 + 1.85961i) q^{34} +(9.25714 + 6.36314i) q^{35} +(2.43582 - 1.40632i) q^{36} +(-1.03769 + 3.87273i) q^{37} -4.30539 q^{38} +(2.11684 + 2.91873i) q^{39} +7.56914i q^{40} +(-1.42770 + 5.32825i) q^{41} +(5.23893 - 2.49843i) q^{42} +(-9.78317 - 5.64832i) q^{43} +(-5.36612 + 5.36612i) q^{44} +(-4.10107 + 1.09888i) q^{45} +(11.3847 - 3.05052i) q^{46} +(-2.97828 + 2.97828i) q^{47} +(-1.48464 - 0.857159i) q^{48} +(6.53539 - 2.50773i) q^{49} +(7.39621 - 27.6030i) q^{50} -1.19880i q^{51} +(-4.13256 + 9.26092i) q^{52} -11.0603 q^{53} +(-0.567791 + 2.11902i) q^{54} +(9.92075 - 5.72775i) q^{55} +(3.88702 + 2.67184i) q^{56} +(1.38773 - 1.38773i) q^{57} +(-1.67985 - 6.26927i) q^{58} +(-3.14721 - 11.7455i) q^{59} +(-8.44410 - 8.44410i) q^{60} +(-4.55683 - 2.63089i) q^{61} +(5.22332 + 9.04706i) q^{62} +(-0.883331 + 2.49394i) q^{63} -12.6437i q^{64} +(9.64379 - 11.8886i) q^{65} -5.91905i q^{66} +(4.15530 + 1.11341i) q^{67} +(2.92006 - 1.68590i) q^{68} +(-2.68631 + 4.65282i) q^{69} +(-16.0032 - 18.7397i) q^{70} +(0.800761 + 2.98848i) q^{71} +(-1.72201 + 0.461412i) q^{72} +(4.78407 - 4.78407i) q^{73} +(4.39780 - 7.61721i) q^{74} +(6.51315 + 11.2811i) q^{75} +(5.33186 + 1.42867i) q^{76} +(0.560542 - 7.11650i) q^{77} +(-2.82839 - 7.38678i) q^{78} -1.16895 q^{79} +(-1.88383 + 7.03054i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(6.05066 - 10.4801i) q^{82} +(-3.24002 - 3.24002i) q^{83} +(-7.31704 + 1.35564i) q^{84} +(-4.91635 + 1.31733i) q^{85} +(17.5237 + 17.5237i) q^{86} +(2.56220 + 1.47928i) q^{87} +(4.16566 - 2.40505i) q^{88} +(4.80209 + 1.28672i) q^{89} +9.31419 q^{90} +(-2.70105 - 9.14901i) q^{91} -15.1113 q^{92} +(-4.59969 - 1.23248i) q^{93} +(8.00209 - 4.62001i) q^{94} +(-7.21613 - 4.16623i) q^{95} +(5.18051 + 5.18051i) q^{96} +(-14.7483 + 3.95180i) q^{97} +(-15.2725 + 1.60321i) q^{98} +(1.90786 + 1.90786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.11902 0.567791i −1.49838 0.401489i −0.585820 0.810441i \(-0.699227\pi\)
−0.912556 + 0.408953i \(0.865894\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 2.43582 + 1.40632i 1.21791 + 0.703161i
\(5\) −3.00219 3.00219i −1.34262 1.34262i −0.893442 0.449179i \(-0.851717\pi\)
−0.449179 0.893442i \(-0.648283\pi\)
\(6\) −2.11902 + 0.567791i −0.865088 + 0.231800i
\(7\) −2.60148 + 0.481982i −0.983267 + 0.182172i
\(8\) −1.26060 1.26060i −0.445690 0.445690i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 4.65710 + 8.06633i 1.47270 + 2.55080i
\(11\) −0.698323 + 2.60618i −0.210552 + 0.785792i 0.777133 + 0.629337i \(0.216673\pi\)
−0.987685 + 0.156455i \(0.949993\pi\)
\(12\) 2.81265 0.811941
\(13\) 0.373866 + 3.58612i 0.103692 + 0.994609i
\(14\) 5.78626 + 0.455764i 1.54644 + 0.121808i
\(15\) −4.10107 1.09888i −1.05889 0.283729i
\(16\) −0.857159 1.48464i −0.214290 0.371161i
\(17\) 0.599399 1.03819i 0.145376 0.251798i −0.784137 0.620587i \(-0.786894\pi\)
0.929513 + 0.368789i \(0.120228\pi\)
\(18\) −1.55123 + 1.55123i −0.365629 + 0.365629i
\(19\) 1.89568 0.507945i 0.434898 0.116531i −0.0347266 0.999397i \(-0.511056\pi\)
0.469624 + 0.882866i \(0.344389\pi\)
\(20\) −3.09075 11.5349i −0.691114 2.57927i
\(21\) −2.01196 + 1.71815i −0.439045 + 0.374931i
\(22\) 2.95953 5.12605i 0.630973 1.09288i
\(23\) −4.65282 + 2.68631i −0.970181 + 0.560134i −0.899291 0.437350i \(-0.855917\pi\)
−0.0708893 + 0.997484i \(0.522584\pi\)
\(24\) −1.72201 0.461412i −0.351505 0.0941854i
\(25\) 13.0263i 2.60526i
\(26\) 1.24393 7.81134i 0.243955 1.53193i
\(27\) 1.00000i 0.192450i
\(28\) −7.01456 2.48450i −1.32563 0.469526i
\(29\) 1.47928 + 2.56220i 0.274696 + 0.475788i 0.970058 0.242872i \(-0.0780894\pi\)
−0.695362 + 0.718659i \(0.744756\pi\)
\(30\) 8.06633 + 4.65710i 1.47270 + 0.850266i
\(31\) −3.36721 3.36721i −0.604768 0.604768i 0.336806 0.941574i \(-0.390653\pi\)
−0.941574 + 0.336806i \(0.890653\pi\)
\(32\) 1.89620 + 7.07671i 0.335204 + 1.25100i
\(33\) 0.698323 + 2.60618i 0.121563 + 0.453677i
\(34\) −1.85961 + 1.85961i −0.318921 + 0.318921i
\(35\) 9.25714 + 6.36314i 1.56474 + 1.07557i
\(36\) 2.43582 1.40632i 0.405970 0.234387i
\(37\) −1.03769 + 3.87273i −0.170596 + 0.636673i 0.826664 + 0.562696i \(0.190236\pi\)
−0.997260 + 0.0739770i \(0.976431\pi\)
\(38\) −4.30539 −0.698426
\(39\) 2.11684 + 2.91873i 0.338965 + 0.467371i
\(40\) 7.56914i 1.19679i
\(41\) −1.42770 + 5.32825i −0.222969 + 0.832133i 0.760239 + 0.649644i \(0.225082\pi\)
−0.983208 + 0.182489i \(0.941585\pi\)
\(42\) 5.23893 2.49843i 0.808384 0.385516i
\(43\) −9.78317 5.64832i −1.49192 0.861360i −0.491963 0.870616i \(-0.663720\pi\)
−0.999957 + 0.00925580i \(0.997054\pi\)
\(44\) −5.36612 + 5.36612i −0.808973 + 0.808973i
\(45\) −4.10107 + 1.09888i −0.611351 + 0.163811i
\(46\) 11.3847 3.05052i 1.67858 0.449775i
\(47\) −2.97828 + 2.97828i −0.434427 + 0.434427i −0.890131 0.455704i \(-0.849387\pi\)
0.455704 + 0.890131i \(0.349387\pi\)
\(48\) −1.48464 0.857159i −0.214290 0.123720i
\(49\) 6.53539 2.50773i 0.933627 0.358248i
\(50\) 7.39621 27.6030i 1.04598 3.90366i
\(51\) 1.19880i 0.167865i
\(52\) −4.13256 + 9.26092i −0.573084 + 1.28426i
\(53\) −11.0603 −1.51925 −0.759627 0.650359i \(-0.774618\pi\)
−0.759627 + 0.650359i \(0.774618\pi\)
\(54\) −0.567791 + 2.11902i −0.0772665 + 0.288363i
\(55\) 9.92075 5.72775i 1.33771 0.772329i
\(56\) 3.88702 + 2.67184i 0.519424 + 0.357040i
\(57\) 1.38773 1.38773i 0.183809 0.183809i
\(58\) −1.67985 6.26927i −0.220575 0.823196i
\(59\) −3.14721 11.7455i −0.409731 1.52914i −0.795160 0.606400i \(-0.792613\pi\)
0.385428 0.922738i \(-0.374054\pi\)
\(60\) −8.44410 8.44410i −1.09013 1.09013i
\(61\) −4.55683 2.63089i −0.583442 0.336851i 0.179058 0.983839i \(-0.442695\pi\)
−0.762500 + 0.646988i \(0.776028\pi\)
\(62\) 5.22332 + 9.04706i 0.663362 + 1.14898i
\(63\) −0.883331 + 2.49394i −0.111289 + 0.314207i
\(64\) 12.6437i 1.58046i
\(65\) 9.64379 11.8886i 1.19616 1.47460i
\(66\) 5.91905i 0.728585i
\(67\) 4.15530 + 1.11341i 0.507651 + 0.136025i 0.503549 0.863967i \(-0.332028\pi\)
0.00410235 + 0.999992i \(0.498694\pi\)
\(68\) 2.92006 1.68590i 0.354109 0.204445i
\(69\) −2.68631 + 4.65282i −0.323394 + 0.560134i
\(70\) −16.0032 18.7397i −1.91274 2.23983i
\(71\) 0.800761 + 2.98848i 0.0950329 + 0.354668i 0.997024 0.0770861i \(-0.0245616\pi\)
−0.901992 + 0.431754i \(0.857895\pi\)
\(72\) −1.72201 + 0.461412i −0.202941 + 0.0543780i
\(73\) 4.78407 4.78407i 0.559933 0.559933i −0.369355 0.929288i \(-0.620421\pi\)
0.929288 + 0.369355i \(0.120421\pi\)
\(74\) 4.39780 7.61721i 0.511234 0.885483i
\(75\) 6.51315 + 11.2811i 0.752074 + 1.30263i
\(76\) 5.33186 + 1.42867i 0.611607 + 0.163879i
\(77\) 0.560542 7.11650i 0.0638797 0.811000i
\(78\) −2.82839 7.38678i −0.320252 0.836389i
\(79\) −1.16895 −0.131517 −0.0657584 0.997836i \(-0.520947\pi\)
−0.0657584 + 0.997836i \(0.520947\pi\)
\(80\) −1.88383 + 7.03054i −0.210618 + 0.786038i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 6.05066 10.4801i 0.668184 1.15733i
\(83\) −3.24002 3.24002i −0.355639 0.355639i 0.506564 0.862202i \(-0.330915\pi\)
−0.862202 + 0.506564i \(0.830915\pi\)
\(84\) −7.31704 + 1.35564i −0.798354 + 0.147913i
\(85\) −4.91635 + 1.31733i −0.533253 + 0.142885i
\(86\) 17.5237 + 17.5237i 1.88963 + 1.88963i
\(87\) 2.56220 + 1.47928i 0.274696 + 0.158596i
\(88\) 4.16566 2.40505i 0.444061 0.256379i
\(89\) 4.80209 + 1.28672i 0.509020 + 0.136392i 0.504183 0.863597i \(-0.331794\pi\)
0.00483713 + 0.999988i \(0.498460\pi\)
\(90\) 9.31419 0.981802
\(91\) −2.70105 9.14901i −0.283147 0.959077i
\(92\) −15.1113 −1.57546
\(93\) −4.59969 1.23248i −0.476966 0.127803i
\(94\) 8.00209 4.62001i 0.825352 0.476517i
\(95\) −7.21613 4.16623i −0.740359 0.427447i
\(96\) 5.18051 + 5.18051i 0.528733 + 0.528733i
\(97\) −14.7483 + 3.95180i −1.49746 + 0.401244i −0.912250 0.409634i \(-0.865656\pi\)
−0.585214 + 0.810879i \(0.698990\pi\)
\(98\) −15.2725 + 1.60321i −1.54276 + 0.161949i
\(99\) 1.90786 + 1.90786i 0.191747 + 0.191747i
\(100\) −18.3192 + 31.7298i −1.83192 + 3.17298i
\(101\) −0.803086 1.39099i −0.0799101 0.138408i 0.823301 0.567605i \(-0.192130\pi\)
−0.903211 + 0.429197i \(0.858797\pi\)
\(102\) −0.680666 + 2.54028i −0.0673960 + 0.251525i
\(103\) −14.4997 −1.42870 −0.714351 0.699787i \(-0.753278\pi\)
−0.714351 + 0.699787i \(0.753278\pi\)
\(104\) 4.04937 4.99196i 0.397073 0.489502i
\(105\) 11.1985 + 0.882067i 1.09286 + 0.0860809i
\(106\) 23.4371 + 6.27995i 2.27641 + 0.609963i
\(107\) 1.91021 + 3.30858i 0.184667 + 0.319852i 0.943464 0.331475i \(-0.107546\pi\)
−0.758797 + 0.651327i \(0.774213\pi\)
\(108\) 1.40632 2.43582i 0.135323 0.234387i
\(109\) 9.59246 9.59246i 0.918791 0.918791i −0.0781507 0.996942i \(-0.524902\pi\)
0.996942 + 0.0781507i \(0.0249015\pi\)
\(110\) −24.2745 + 6.50432i −2.31448 + 0.620163i
\(111\) 1.03769 + 3.87273i 0.0984936 + 0.367583i
\(112\) 2.94545 + 3.44913i 0.278319 + 0.325912i
\(113\) −1.57880 + 2.73457i −0.148521 + 0.257247i −0.930681 0.365831i \(-0.880785\pi\)
0.782160 + 0.623078i \(0.214118\pi\)
\(114\) −3.72857 + 2.15269i −0.349213 + 0.201618i
\(115\) 22.0335 + 5.90385i 2.05463 + 0.550537i
\(116\) 8.32140i 0.772623i
\(117\) 3.29260 + 1.46928i 0.304401 + 0.135835i
\(118\) 26.6760i 2.45573i
\(119\) −1.05893 + 2.98973i −0.0970724 + 0.274068i
\(120\) 3.78457 + 6.55506i 0.345482 + 0.598393i
\(121\) 3.22177 + 1.86009i 0.292888 + 0.169099i
\(122\) 8.16224 + 8.16224i 0.738974 + 0.738974i
\(123\) 1.42770 + 5.32825i 0.128731 + 0.480432i
\(124\) −3.46654 12.9373i −0.311304 1.16180i
\(125\) 24.0965 24.0965i 2.15526 2.15526i
\(126\) 3.28783 4.78317i 0.292903 0.426118i
\(127\) 5.77265 3.33284i 0.512240 0.295742i −0.221514 0.975157i \(-0.571100\pi\)
0.733754 + 0.679415i \(0.237767\pi\)
\(128\) −3.38658 + 12.6389i −0.299335 + 1.11713i
\(129\) −11.2966 −0.994613
\(130\) −27.1857 + 19.7166i −2.38434 + 1.72926i
\(131\) 9.80212i 0.856415i 0.903680 + 0.428207i \(0.140855\pi\)
−0.903680 + 0.428207i \(0.859145\pi\)
\(132\) −1.96414 + 7.33026i −0.170956 + 0.638017i
\(133\) −4.68674 + 2.23509i −0.406392 + 0.193807i
\(134\) −8.17300 4.71868i −0.706039 0.407632i
\(135\) −3.00219 + 3.00219i −0.258388 + 0.258388i
\(136\) −2.06435 + 0.553140i −0.177016 + 0.0474314i
\(137\) 6.48757 1.73834i 0.554271 0.148516i 0.0291978 0.999574i \(-0.490705\pi\)
0.525073 + 0.851057i \(0.324038\pi\)
\(138\) 8.33418 8.33418i 0.709452 0.709452i
\(139\) −0.304839 0.175999i −0.0258561 0.0149280i 0.487016 0.873393i \(-0.338085\pi\)
−0.512872 + 0.858465i \(0.671419\pi\)
\(140\) 13.6001 + 28.5180i 1.14942 + 2.41021i
\(141\) −1.09013 + 4.06841i −0.0918052 + 0.342622i
\(142\) 6.78733i 0.569580i
\(143\) −9.60714 1.52991i −0.803389 0.127937i
\(144\) −1.71432 −0.142860
\(145\) 3.25111 12.1333i 0.269990 1.00762i
\(146\) −12.8539 + 7.42121i −1.06380 + 0.614184i
\(147\) 4.40594 5.43945i 0.363396 0.448639i
\(148\) −7.97395 + 7.97395i −0.655455 + 0.655455i
\(149\) 3.05452 + 11.3996i 0.250236 + 0.933892i 0.970679 + 0.240379i \(0.0772716\pi\)
−0.720443 + 0.693514i \(0.756062\pi\)
\(150\) −7.39621 27.6030i −0.603898 2.25378i
\(151\) −12.2745 12.2745i −0.998884 0.998884i 0.00111530 0.999999i \(-0.499645\pi\)
−0.999999 + 0.00111530i \(0.999645\pi\)
\(152\) −3.03001 1.74938i −0.245766 0.141893i
\(153\) −0.599399 1.03819i −0.0484585 0.0839326i
\(154\) −5.22848 + 14.7618i −0.421323 + 1.18954i
\(155\) 20.2180i 1.62395i
\(156\) 1.05155 + 10.0865i 0.0841916 + 0.807564i
\(157\) 4.41109i 0.352043i 0.984386 + 0.176022i \(0.0563228\pi\)
−0.984386 + 0.176022i \(0.943677\pi\)
\(158\) 2.47702 + 0.663716i 0.197061 + 0.0528024i
\(159\) −9.57853 + 5.53017i −0.759627 + 0.438571i
\(160\) 15.5529 26.9384i 1.22956 2.12967i
\(161\) 10.8095 9.23095i 0.851905 0.727501i
\(162\) 0.567791 + 2.11902i 0.0446098 + 0.166486i
\(163\) −0.610931 + 0.163698i −0.0478518 + 0.0128219i −0.282666 0.959219i \(-0.591219\pi\)
0.234814 + 0.972040i \(0.424552\pi\)
\(164\) −10.9709 + 10.9709i −0.856680 + 0.856680i
\(165\) 5.72775 9.92075i 0.445904 0.772329i
\(166\) 5.02603 + 8.70534i 0.390096 + 0.675665i
\(167\) −16.3769 4.38817i −1.26728 0.339567i −0.438292 0.898833i \(-0.644416\pi\)
−0.828988 + 0.559266i \(0.811083\pi\)
\(168\) 4.70218 + 0.370374i 0.362781 + 0.0285750i
\(169\) −12.7204 + 2.68145i −0.978496 + 0.206266i
\(170\) 11.1658 0.856380
\(171\) 0.507945 1.89568i 0.0388435 0.144966i
\(172\) −15.8867 27.5166i −1.21135 2.09812i
\(173\) 4.60670 7.97903i 0.350241 0.606634i −0.636051 0.771647i \(-0.719433\pi\)
0.986291 + 0.165013i \(0.0527665\pi\)
\(174\) −4.58943 4.58943i −0.347924 0.347924i
\(175\) −6.27845 33.8877i −0.474606 2.56167i
\(176\) 4.46782 1.19715i 0.336774 0.0902384i
\(177\) −8.59833 8.59833i −0.646290 0.646290i
\(178\) −9.44515 5.45316i −0.707944 0.408732i
\(179\) 2.35631 1.36042i 0.176119 0.101682i −0.409349 0.912378i \(-0.634244\pi\)
0.585468 + 0.810696i \(0.300911\pi\)
\(180\) −11.5349 3.09075i −0.859757 0.230371i
\(181\) −15.4525 −1.14858 −0.574288 0.818653i \(-0.694721\pi\)
−0.574288 + 0.818653i \(0.694721\pi\)
\(182\) 0.528864 + 20.9206i 0.0392020 + 1.55074i
\(183\) −5.26177 −0.388962
\(184\) 9.25172 + 2.47899i 0.682046 + 0.182754i
\(185\) 14.7420 8.51132i 1.08386 0.625765i
\(186\) 9.04706 + 5.22332i 0.663362 + 0.382992i
\(187\) 2.28713 + 2.28713i 0.167252 + 0.167252i
\(188\) −11.4430 + 3.06614i −0.834566 + 0.223621i
\(189\) 0.481982 + 2.60148i 0.0350590 + 0.189230i
\(190\) 12.9256 + 12.9256i 0.937721 + 0.937721i
\(191\) 1.63770 2.83658i 0.118500 0.205248i −0.800673 0.599101i \(-0.795525\pi\)
0.919173 + 0.393853i \(0.128858\pi\)
\(192\) −6.32186 10.9498i −0.456241 0.790232i
\(193\) −5.44447 + 20.3190i −0.391901 + 1.46260i 0.435093 + 0.900385i \(0.356715\pi\)
−0.826995 + 0.562210i \(0.809951\pi\)
\(194\) 33.4958 2.40486
\(195\) 2.40745 15.1177i 0.172401 1.08260i
\(196\) 19.4457 + 3.08247i 1.38898 + 0.220176i
\(197\) 20.1959 + 5.41149i 1.43890 + 0.385553i 0.892149 0.451741i \(-0.149197\pi\)
0.546753 + 0.837294i \(0.315864\pi\)
\(198\) −2.95953 5.12605i −0.210324 0.364293i
\(199\) −12.4685 + 21.5960i −0.883867 + 1.53090i −0.0368601 + 0.999320i \(0.511736\pi\)
−0.847007 + 0.531582i \(0.821598\pi\)
\(200\) 16.4210 16.4210i 1.16114 1.16114i
\(201\) 4.15530 1.11341i 0.293092 0.0785339i
\(202\) 0.911969 + 3.40352i 0.0641659 + 0.239471i
\(203\) −5.08326 5.95251i −0.356775 0.417784i
\(204\) 1.68590 2.92006i 0.118036 0.204445i
\(205\) 20.2827 11.7102i 1.41660 0.817876i
\(206\) 30.7253 + 8.23282i 2.14073 + 0.573608i
\(207\) 5.37262i 0.373423i
\(208\) 5.00364 3.62893i 0.346940 0.251621i
\(209\) 5.29518i 0.366275i
\(210\) −23.2290 8.22751i −1.60295 0.567752i
\(211\) 5.46157 + 9.45972i 0.375990 + 0.651234i 0.990475 0.137695i \(-0.0439694\pi\)
−0.614485 + 0.788929i \(0.710636\pi\)
\(212\) −26.9410 15.5544i −1.85032 1.06828i
\(213\) 2.18772 + 2.18772i 0.149900 + 0.149900i
\(214\) −2.16919 8.09554i −0.148283 0.553400i
\(215\) 12.4136 + 46.3283i 0.846602 + 3.15956i
\(216\) −1.26060 + 1.26060i −0.0857731 + 0.0857731i
\(217\) 10.3827 + 7.13678i 0.704820 + 0.484476i
\(218\) −25.7731 + 14.8801i −1.74558 + 1.00781i
\(219\) 1.75109 6.53517i 0.118328 0.441606i
\(220\) 32.2202 2.17229
\(221\) 3.94716 + 1.76137i 0.265515 + 0.118483i
\(222\) 8.79560i 0.590322i
\(223\) −3.99267 + 14.9009i −0.267369 + 0.997835i 0.693415 + 0.720538i \(0.256105\pi\)
−0.960784 + 0.277297i \(0.910561\pi\)
\(224\) −8.34376 17.4960i −0.557491 1.16900i
\(225\) 11.2811 + 6.51315i 0.752074 + 0.434210i
\(226\) 4.89819 4.89819i 0.325823 0.325823i
\(227\) −18.6556 + 4.99875i −1.23822 + 0.331779i −0.817773 0.575541i \(-0.804792\pi\)
−0.420442 + 0.907319i \(0.638125\pi\)
\(228\) 5.33186 1.42867i 0.353111 0.0946159i
\(229\) 12.6136 12.6136i 0.833528 0.833528i −0.154470 0.987998i \(-0.549367\pi\)
0.987998 + 0.154470i \(0.0493669\pi\)
\(230\) −43.3373 25.0208i −2.85758 1.64982i
\(231\) −3.07281 6.44334i −0.202176 0.423941i
\(232\) 1.36512 5.09470i 0.0896245 0.334483i
\(233\) 24.9418i 1.63399i −0.576643 0.816996i \(-0.695638\pi\)
0.576643 0.816996i \(-0.304362\pi\)
\(234\) −6.14285 4.98295i −0.401571 0.325745i
\(235\) 17.8827 1.16654
\(236\) 8.85197 33.0360i 0.576214 2.15046i
\(237\) −1.01234 + 0.584473i −0.0657584 + 0.0379656i
\(238\) 3.94145 5.73405i 0.255486 0.371683i
\(239\) −4.67931 + 4.67931i −0.302680 + 0.302680i −0.842061 0.539382i \(-0.818658\pi\)
0.539382 + 0.842061i \(0.318658\pi\)
\(240\) 1.88383 + 7.03054i 0.121600 + 0.453819i
\(241\) −0.169033 0.630839i −0.0108884 0.0406359i 0.960268 0.279080i \(-0.0900294\pi\)
−0.971156 + 0.238444i \(0.923363\pi\)
\(242\) −5.77086 5.77086i −0.370965 0.370965i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −7.39975 12.8167i −0.473721 0.820508i
\(245\) −27.1492 12.0918i −1.73450 0.772516i
\(246\) 12.1013i 0.771552i
\(247\) 2.53028 + 6.60821i 0.160998 + 0.420470i
\(248\) 8.48941i 0.539078i
\(249\) −4.42595 1.18593i −0.280483 0.0751553i
\(250\) −64.7428 + 37.3793i −4.09470 + 2.36407i
\(251\) 9.89477 17.1382i 0.624552 1.08176i −0.364075 0.931370i \(-0.618615\pi\)
0.988627 0.150386i \(-0.0480518\pi\)
\(252\) −5.65892 + 4.83254i −0.356478 + 0.304422i
\(253\) −3.75182 14.0020i −0.235875 0.880298i
\(254\) −14.1247 + 3.78471i −0.886265 + 0.237474i
\(255\) −3.59902 + 3.59902i −0.225379 + 0.225379i
\(256\) 1.70879 2.95971i 0.106799 0.184982i
\(257\) −7.97194 13.8078i −0.497276 0.861307i 0.502719 0.864450i \(-0.332333\pi\)
−0.999995 + 0.00314245i \(0.999000\pi\)
\(258\) 23.9378 + 6.41412i 1.49030 + 0.399326i
\(259\) 0.832955 10.5750i 0.0517573 0.657097i
\(260\) 40.2098 15.3963i 2.49371 0.954838i
\(261\) 2.95857 0.183131
\(262\) 5.56555 20.7709i 0.343841 1.28323i
\(263\) −0.217727 0.377114i −0.0134256 0.0232538i 0.859235 0.511582i \(-0.170940\pi\)
−0.872660 + 0.488328i \(0.837607\pi\)
\(264\) 2.40505 4.16566i 0.148020 0.256379i
\(265\) 33.2052 + 33.2052i 2.03978 + 2.03978i
\(266\) 11.2004 2.07512i 0.686739 0.127234i
\(267\) 4.80209 1.28672i 0.293883 0.0787457i
\(268\) 8.55576 + 8.55576i 0.522626 + 0.522626i
\(269\) 14.2630 + 8.23477i 0.869633 + 0.502083i 0.867226 0.497914i \(-0.165901\pi\)
0.00240680 + 0.999997i \(0.499234\pi\)
\(270\) 8.06633 4.65710i 0.490901 0.283422i
\(271\) −22.4966 6.02794i −1.36657 0.366171i −0.500345 0.865826i \(-0.666793\pi\)
−0.866224 + 0.499655i \(0.833460\pi\)
\(272\) −2.05512 −0.124610
\(273\) −6.91368 6.57275i −0.418435 0.397801i
\(274\) −14.7343 −0.890133
\(275\) −33.9489 9.09658i −2.04719 0.548544i
\(276\) −13.0867 + 7.55563i −0.787729 + 0.454796i
\(277\) 7.08167 + 4.08860i 0.425496 + 0.245660i 0.697426 0.716657i \(-0.254329\pi\)
−0.271930 + 0.962317i \(0.587662\pi\)
\(278\) 0.546031 + 0.546031i 0.0327488 + 0.0327488i
\(279\) −4.59969 + 1.23248i −0.275376 + 0.0737868i
\(280\) −3.64819 19.6909i −0.218021 1.17676i
\(281\) 3.14177 + 3.14177i 0.187422 + 0.187422i 0.794581 0.607159i \(-0.207691\pi\)
−0.607159 + 0.794581i \(0.707691\pi\)
\(282\) 4.62001 8.00209i 0.275117 0.476517i
\(283\) 6.35147 + 11.0011i 0.377555 + 0.653945i 0.990706 0.136021i \(-0.0434314\pi\)
−0.613151 + 0.789966i \(0.710098\pi\)
\(284\) −2.25226 + 8.40554i −0.133647 + 0.498777i
\(285\) −8.33247 −0.493573
\(286\) 19.4891 + 8.69675i 1.15241 + 0.514250i
\(287\) 1.14601 14.5495i 0.0676469 0.858827i
\(288\) 7.07671 + 1.89620i 0.416999 + 0.111735i
\(289\) 7.78144 + 13.4779i 0.457732 + 0.792815i
\(290\) −13.7783 + 23.8648i −0.809092 + 1.40139i
\(291\) −10.7965 + 10.7965i −0.632903 + 0.632903i
\(292\) 18.3811 4.92520i 1.07567 0.288226i
\(293\) −1.47718 5.51290i −0.0862977 0.322067i 0.909259 0.416231i \(-0.136649\pi\)
−0.995557 + 0.0941633i \(0.969982\pi\)
\(294\) −12.4248 + 9.02467i −0.724627 + 0.526330i
\(295\) −25.8138 + 44.7109i −1.50294 + 2.60317i
\(296\) 6.19009 3.57385i 0.359792 0.207726i
\(297\) 2.60618 + 0.698323i 0.151226 + 0.0405208i
\(298\) 25.8904i 1.49979i
\(299\) −11.3729 15.6812i −0.657714 0.906870i
\(300\) 36.6384i 2.11532i
\(301\) 28.1731 + 9.97867i 1.62387 + 0.575161i
\(302\) 19.0406 + 32.9793i 1.09566 + 1.89774i
\(303\) −1.39099 0.803086i −0.0799101 0.0461361i
\(304\) −2.37901 2.37901i −0.136446 0.136446i
\(305\) 5.78205 + 21.5789i 0.331079 + 1.23560i
\(306\) 0.680666 + 2.54028i 0.0389111 + 0.145218i
\(307\) 10.2283 10.2283i 0.583760 0.583760i −0.352174 0.935934i \(-0.614558\pi\)
0.935934 + 0.352174i \(0.114558\pi\)
\(308\) 11.3735 16.5462i 0.648064 0.942808i
\(309\) −12.5571 + 7.24987i −0.714351 + 0.412431i
\(310\) 11.4796 42.8424i 0.651997 2.43328i
\(311\) 14.6147 0.828724 0.414362 0.910112i \(-0.364005\pi\)
0.414362 + 0.910112i \(0.364005\pi\)
\(312\) 1.01087 6.34785i 0.0572295 0.359376i
\(313\) 17.9984i 1.01733i −0.860965 0.508665i \(-0.830139\pi\)
0.860965 0.508665i \(-0.169861\pi\)
\(314\) 2.50457 9.34720i 0.141341 0.527493i
\(315\) 10.1392 4.83535i 0.571280 0.272441i
\(316\) −2.84734 1.64392i −0.160176 0.0924775i
\(317\) −12.0835 + 12.0835i −0.678674 + 0.678674i −0.959700 0.281026i \(-0.909325\pi\)
0.281026 + 0.959700i \(0.409325\pi\)
\(318\) 23.4371 6.27995i 1.31429 0.352162i
\(319\) −7.71056 + 2.06604i −0.431708 + 0.115676i
\(320\) −37.9588 + 37.9588i −2.12196 + 2.12196i
\(321\) 3.30858 + 1.91021i 0.184667 + 0.106617i
\(322\) −28.1468 + 13.4231i −1.56856 + 0.748040i
\(323\) 0.608923 2.27253i 0.0338814 0.126447i
\(324\) 2.81265i 0.156258i
\(325\) −46.7138 + 4.87009i −2.59122 + 0.270144i
\(326\) 1.38752 0.0768478
\(327\) 3.51108 13.1035i 0.194163 0.724627i
\(328\) 8.51656 4.91704i 0.470248 0.271498i
\(329\) 6.31246 9.18341i 0.348017 0.506298i
\(330\) −17.7701 + 17.7701i −0.978214 + 0.978214i
\(331\) 2.57122 + 9.59594i 0.141327 + 0.527441i 0.999891 + 0.0147345i \(0.00469030\pi\)
−0.858564 + 0.512706i \(0.828643\pi\)
\(332\) −3.33560 12.4486i −0.183065 0.683208i
\(333\) 2.83504 + 2.83504i 0.155359 + 0.155359i
\(334\) 32.2114 + 18.5973i 1.76253 + 1.01760i
\(335\) −9.13234 15.8177i −0.498953 0.864212i
\(336\) 4.27540 + 1.51431i 0.233242 + 0.0826123i
\(337\) 6.44780i 0.351234i −0.984459 0.175617i \(-0.943808\pi\)
0.984459 0.175617i \(-0.0561920\pi\)
\(338\) 28.4774 + 1.54049i 1.54897 + 0.0837915i
\(339\) 3.15761i 0.171498i
\(340\) −13.8280 3.70519i −0.749926 0.200942i
\(341\) 11.1269 6.42414i 0.602558 0.347887i
\(342\) −2.15269 + 3.72857i −0.116404 + 0.201618i
\(343\) −15.7930 + 9.67375i −0.852741 + 0.522334i
\(344\) 5.21241 + 19.4530i 0.281034 + 1.04883i
\(345\) 22.0335 5.90385i 1.18624 0.317853i
\(346\) −14.2921 + 14.2921i −0.768349 + 0.768349i
\(347\) 6.00501 10.4010i 0.322366 0.558354i −0.658610 0.752484i \(-0.728855\pi\)
0.980976 + 0.194131i \(0.0621886\pi\)
\(348\) 4.16070 + 7.20655i 0.223037 + 0.386311i
\(349\) 24.5954 + 6.59031i 1.31656 + 0.352771i 0.847688 0.530495i \(-0.177994\pi\)
0.468872 + 0.883266i \(0.344661\pi\)
\(350\) −5.93692 + 75.3736i −0.317342 + 4.02889i
\(351\) 3.58612 0.373866i 0.191413 0.0199555i
\(352\) −19.7673 −1.05360
\(353\) 2.43053 9.07084i 0.129364 0.482792i −0.870594 0.492003i \(-0.836265\pi\)
0.999958 + 0.00921021i \(0.00293174\pi\)
\(354\) 13.3380 + 23.1021i 0.708907 + 1.22786i
\(355\) 6.56796 11.3760i 0.348591 0.603777i
\(356\) 9.88750 + 9.88750i 0.524036 + 0.524036i
\(357\) 0.577799 + 3.11865i 0.0305804 + 0.165056i
\(358\) −5.76551 + 1.54486i −0.304716 + 0.0816485i
\(359\) −16.2790 16.2790i −0.859171 0.859171i 0.132070 0.991240i \(-0.457838\pi\)
−0.991240 + 0.132070i \(0.957838\pi\)
\(360\) 6.55506 + 3.78457i 0.345482 + 0.199464i
\(361\) −13.1189 + 7.57420i −0.690469 + 0.398642i
\(362\) 32.7442 + 8.77379i 1.72100 + 0.461140i
\(363\) 3.72018 0.195259
\(364\) 6.28718 26.0839i 0.329538 1.36717i
\(365\) −28.7254 −1.50356
\(366\) 11.1498 + 2.98759i 0.582810 + 0.156164i
\(367\) 19.6200 11.3276i 1.02416 0.591297i 0.108851 0.994058i \(-0.465283\pi\)
0.915305 + 0.402761i \(0.131949\pi\)
\(368\) 7.97642 + 4.60519i 0.415799 + 0.240062i
\(369\) 3.90055 + 3.90055i 0.203055 + 0.203055i
\(370\) −36.0714 + 9.66529i −1.87526 + 0.502475i
\(371\) 28.7732 5.33088i 1.49383 0.276766i
\(372\) −9.47076 9.47076i −0.491036 0.491036i
\(373\) 11.0535 19.1453i 0.572330 0.991305i −0.423996 0.905664i \(-0.639373\pi\)
0.996326 0.0856409i \(-0.0272938\pi\)
\(374\) −3.54787 6.14510i −0.183456 0.317755i
\(375\) 8.81994 32.9164i 0.455460 1.69980i
\(376\) 7.50885 0.387240
\(377\) −8.63527 + 6.26280i −0.444739 + 0.322551i
\(378\) 0.455764 5.78626i 0.0234420 0.297613i
\(379\) −1.03041 0.276097i −0.0529284 0.0141821i 0.232258 0.972654i \(-0.425389\pi\)
−0.285186 + 0.958472i \(0.592055\pi\)
\(380\) −11.7181 20.2964i −0.601128 1.04118i
\(381\) 3.33284 5.77265i 0.170747 0.295742i
\(382\) −5.08092 + 5.08092i −0.259962 + 0.259962i
\(383\) 12.0580 3.23092i 0.616133 0.165092i 0.0627635 0.998028i \(-0.480009\pi\)
0.553369 + 0.832936i \(0.313342\pi\)
\(384\) 3.38658 + 12.6389i 0.172821 + 0.644977i
\(385\) −23.0479 + 19.6822i −1.17463 + 1.00310i
\(386\) 23.0739 39.9652i 1.17443 2.03417i
\(387\) −9.78317 + 5.64832i −0.497307 + 0.287120i
\(388\) −41.4818 11.1150i −2.10592 0.564279i
\(389\) 19.0137i 0.964031i −0.876163 0.482015i \(-0.839905\pi\)
0.876163 0.482015i \(-0.160095\pi\)
\(390\) −13.6852 + 30.6679i −0.692975 + 1.55293i
\(391\) 6.44068i 0.325719i
\(392\) −11.3998 5.07727i −0.575775 0.256441i
\(393\) 4.90106 + 8.48888i 0.247226 + 0.428207i
\(394\) −39.7231 22.9341i −2.00122 1.15541i
\(395\) 3.50940 + 3.50940i 0.176577 + 0.176577i
\(396\) 1.96414 + 7.33026i 0.0987015 + 0.368359i
\(397\) −0.702815 2.62294i −0.0352733 0.131642i 0.946044 0.324038i \(-0.105041\pi\)
−0.981317 + 0.192397i \(0.938374\pi\)
\(398\) 38.6830 38.6830i 1.93900 1.93900i
\(399\) −2.94129 + 4.27901i −0.147249 + 0.214219i
\(400\) 19.3394 11.1656i 0.966970 0.558281i
\(401\) 0.821135 3.06452i 0.0410055 0.153035i −0.942388 0.334523i \(-0.891425\pi\)
0.983393 + 0.181488i \(0.0580915\pi\)
\(402\) −9.43736 −0.470693
\(403\) 10.8163 13.3341i 0.538799 0.664218i
\(404\) 4.51759i 0.224759i
\(405\) −1.09888 + 4.10107i −0.0546037 + 0.203784i
\(406\) 7.39177 + 15.4997i 0.366847 + 0.769239i
\(407\) −9.36838 5.40884i −0.464373 0.268106i
\(408\) −1.51121 + 1.51121i −0.0748159 + 0.0748159i
\(409\) −2.97815 + 0.797992i −0.147260 + 0.0394582i −0.331696 0.943386i \(-0.607621\pi\)
0.184436 + 0.982845i \(0.440954\pi\)
\(410\) −49.6284 + 13.2979i −2.45097 + 0.656735i
\(411\) 4.74923 4.74923i 0.234262 0.234262i
\(412\) −35.3188 20.3913i −1.74003 1.00461i
\(413\) 13.8485 + 29.0389i 0.681442 + 1.42891i
\(414\) 3.05052 11.3847i 0.149925 0.559527i
\(415\) 19.4543i 0.954976i
\(416\) −24.6690 + 9.44572i −1.20950 + 0.463115i
\(417\) −0.351998 −0.0172374
\(418\) 3.00655 11.2206i 0.147055 0.548818i
\(419\) −29.0623 + 16.7791i −1.41979 + 0.819715i −0.996280 0.0861779i \(-0.972535\pi\)
−0.423508 + 0.905893i \(0.639201\pi\)
\(420\) 26.0371 + 17.8972i 1.27048 + 0.873296i
\(421\) 18.2634 18.2634i 0.890104 0.890104i −0.104429 0.994532i \(-0.533301\pi\)
0.994532 + 0.104429i \(0.0333014\pi\)
\(422\) −6.20205 23.1464i −0.301911 1.12675i
\(423\) 1.09013 + 4.06841i 0.0530038 + 0.197813i
\(424\) 13.9427 + 13.9427i 0.677116 + 0.677116i
\(425\) 13.5238 + 7.80795i 0.655999 + 0.378741i
\(426\) −3.39366 5.87800i −0.164424 0.284790i
\(427\) 13.1225 + 4.64789i 0.635044 + 0.224927i
\(428\) 10.7455i 0.519402i
\(429\) −9.08498 + 3.47863i −0.438627 + 0.167950i
\(430\) 105.219i 5.07411i
\(431\) −16.9380 4.53851i −0.815873 0.218612i −0.173331 0.984864i \(-0.555453\pi\)
−0.642541 + 0.766251i \(0.722120\pi\)
\(432\) −1.48464 + 0.857159i −0.0714299 + 0.0412401i
\(433\) −17.6656 + 30.5978i −0.848957 + 1.47044i 0.0331835 + 0.999449i \(0.489435\pi\)
−0.882140 + 0.470987i \(0.843898\pi\)
\(434\) −17.9489 21.0182i −0.861574 1.00890i
\(435\) −3.25111 12.1333i −0.155879 0.581747i
\(436\) 36.8556 9.87543i 1.76506 0.472947i
\(437\) −7.45575 + 7.45575i −0.356657 + 0.356657i
\(438\) −7.42121 + 12.8539i −0.354599 + 0.614184i
\(439\) −9.35887 16.2100i −0.446674 0.773663i 0.551493 0.834180i \(-0.314058\pi\)
−0.998167 + 0.0605168i \(0.980725\pi\)
\(440\) −19.7265 5.28570i −0.940425 0.251986i
\(441\) 1.09593 6.91368i 0.0521873 0.329223i
\(442\) −7.36404 5.97354i −0.350272 0.284133i
\(443\) 30.4948 1.44885 0.724426 0.689353i \(-0.242105\pi\)
0.724426 + 0.689353i \(0.242105\pi\)
\(444\) −2.91867 + 10.8926i −0.138514 + 0.516941i
\(445\) −10.5538 18.2798i −0.500299 0.866544i
\(446\) 16.9211 29.3083i 0.801239 1.38779i
\(447\) 8.34509 + 8.34509i 0.394709 + 0.394709i
\(448\) 6.09404 + 32.8924i 0.287917 + 1.55402i
\(449\) −19.0888 + 5.11484i −0.900859 + 0.241384i −0.679385 0.733782i \(-0.737753\pi\)
−0.221474 + 0.975166i \(0.571087\pi\)
\(450\) −20.2068 20.2068i −0.952559 0.952559i
\(451\) −12.8894 7.44168i −0.606937 0.350415i
\(452\) −7.69138 + 4.44062i −0.361772 + 0.208869i
\(453\) −16.7673 4.49278i −0.787795 0.211089i
\(454\) 42.3699 1.98852
\(455\) −19.3580 + 35.5761i −0.907517 + 1.66784i
\(456\) −3.49875 −0.163844
\(457\) 7.87442 + 2.10994i 0.368350 + 0.0986990i 0.438246 0.898855i \(-0.355600\pi\)
−0.0698958 + 0.997554i \(0.522267\pi\)
\(458\) −33.8903 + 19.5666i −1.58359 + 0.914286i
\(459\) −1.03819 0.599399i −0.0484585 0.0279775i
\(460\) 45.3669 + 45.3669i 2.11524 + 2.11524i
\(461\) 32.2015 8.62836i 1.49977 0.401863i 0.586748 0.809769i \(-0.300408\pi\)
0.913024 + 0.407907i \(0.133741\pi\)
\(462\) 2.85288 + 15.3983i 0.132728 + 0.716394i
\(463\) 1.66118 + 1.66118i 0.0772018 + 0.0772018i 0.744653 0.667452i \(-0.232615\pi\)
−0.667452 + 0.744653i \(0.732615\pi\)
\(464\) 2.53596 4.39242i 0.117729 0.203913i
\(465\) 10.1090 + 17.5093i 0.468794 + 0.811974i
\(466\) −14.1617 + 52.8523i −0.656029 + 2.44833i
\(467\) −12.2930 −0.568854 −0.284427 0.958698i \(-0.591803\pi\)
−0.284427 + 0.958698i \(0.591803\pi\)
\(468\) 5.95391 + 8.20936i 0.275219 + 0.379478i
\(469\) −11.3466 0.893731i −0.523936 0.0412687i
\(470\) −37.8939 10.1537i −1.74792 0.468353i
\(471\) 2.20554 + 3.82011i 0.101626 + 0.176022i
\(472\) −10.8391 + 18.7738i −0.498908 + 0.864135i
\(473\) 21.5523 21.5523i 0.990978 0.990978i
\(474\) 2.47702 0.663716i 0.113773 0.0304855i
\(475\) 6.61664 + 24.6937i 0.303592 + 1.13302i
\(476\) −6.78390 + 5.79324i −0.310939 + 0.265533i
\(477\) −5.53017 + 9.57853i −0.253209 + 0.438571i
\(478\) 12.5724 7.25871i 0.575050 0.332005i
\(479\) 22.8035 + 6.11018i 1.04192 + 0.279181i 0.738908 0.673806i \(-0.235342\pi\)
0.303010 + 0.952987i \(0.402008\pi\)
\(480\) 31.1058i 1.41978i
\(481\) −14.2760 2.27341i −0.650930 0.103659i
\(482\) 1.43274i 0.0652594i
\(483\) 4.74580 13.3990i 0.215941 0.609674i
\(484\) 5.23177 + 9.06169i 0.237808 + 0.411895i
\(485\) 56.1413 + 32.4132i 2.54925 + 1.47181i
\(486\) 1.55123 + 1.55123i 0.0703653 + 0.0703653i
\(487\) −2.73616 10.2115i −0.123987 0.462726i 0.875814 0.482648i \(-0.160325\pi\)
−0.999802 + 0.0199217i \(0.993658\pi\)
\(488\) 2.42785 + 9.06085i 0.109903 + 0.410165i
\(489\) −0.447232 + 0.447232i −0.0202245 + 0.0202245i
\(490\) 50.6641 + 41.0378i 2.28877 + 1.85390i
\(491\) 9.46863 5.46672i 0.427313 0.246710i −0.270888 0.962611i \(-0.587317\pi\)
0.698201 + 0.715901i \(0.253984\pi\)
\(492\) −4.01561 + 14.9865i −0.181038 + 0.675643i
\(493\) 3.54672 0.159736
\(494\) −1.60964 15.4396i −0.0724210 0.694661i
\(495\) 11.4555i 0.514886i
\(496\) −2.11287 + 7.88533i −0.0948705 + 0.354062i
\(497\) −3.52356 7.38852i −0.158053 0.331420i
\(498\) 8.70534 + 5.02603i 0.390096 + 0.225222i
\(499\) −21.1483 + 21.1483i −0.946727 + 0.946727i −0.998651 0.0519238i \(-0.983465\pi\)
0.0519238 + 0.998651i \(0.483465\pi\)
\(500\) 92.5823 24.8073i 4.14041 1.10942i
\(501\) −16.3769 + 4.38817i −0.731664 + 0.196049i
\(502\) −30.6982 + 30.6982i −1.37013 + 1.37013i
\(503\) −6.00891 3.46924i −0.267924 0.154686i 0.360020 0.932945i \(-0.382770\pi\)
−0.627944 + 0.778259i \(0.716103\pi\)
\(504\) 4.25739 2.03033i 0.189639 0.0904383i
\(505\) −1.76499 + 6.58703i −0.0785409 + 0.293119i
\(506\) 31.8008i 1.41372i
\(507\) −9.67550 + 8.68243i −0.429704 + 0.385600i
\(508\) 18.7482 0.831817
\(509\) −2.48325 + 9.26762i −0.110068 + 0.410780i −0.998871 0.0475103i \(-0.984871\pi\)
0.888803 + 0.458290i \(0.151538\pi\)
\(510\) 9.66990 5.58292i 0.428190 0.247216i
\(511\) −10.1398 + 14.7515i −0.448560 + 0.652568i
\(512\) 13.2032 13.2032i 0.583504 0.583504i
\(513\) −0.507945 1.89568i −0.0224263 0.0836961i
\(514\) 9.05279 + 33.7855i 0.399301 + 1.49021i
\(515\) 43.5310 + 43.5310i 1.91821 + 1.91821i
\(516\) −27.5166 15.8867i −1.21135 0.699374i
\(517\) −5.68213 9.84174i −0.249900 0.432839i
\(518\) −7.76942 + 21.9357i −0.341369 + 0.963798i
\(519\) 9.21339i 0.404423i
\(520\) −27.1438 + 2.82984i −1.19033 + 0.124097i
\(521\) 17.8193i 0.780676i −0.920672 0.390338i \(-0.872358\pi\)
0.920672 0.390338i \(-0.127642\pi\)
\(522\) −6.26927 1.67985i −0.274399 0.0735249i
\(523\) 6.40070 3.69545i 0.279883 0.161591i −0.353487 0.935439i \(-0.615004\pi\)
0.633370 + 0.773849i \(0.281671\pi\)
\(524\) −13.7849 + 23.8762i −0.602198 + 1.04304i
\(525\) −22.3811 26.2084i −0.976793 1.14383i
\(526\) 0.247246 + 0.922736i 0.0107805 + 0.0402332i
\(527\) −5.51410 + 1.47750i −0.240198 + 0.0643608i
\(528\) 3.27067 3.27067i 0.142338 0.142338i
\(529\) 2.93251 5.07925i 0.127500 0.220837i
\(530\) −51.5090 89.2163i −2.23741 3.87531i
\(531\) −11.7455 3.14721i −0.509713 0.136577i
\(532\) −14.5593 1.14679i −0.631227 0.0497196i
\(533\) −19.6415 3.12785i −0.850767 0.135482i
\(534\) −10.9063 −0.471963
\(535\) 4.19817 15.6678i 0.181503 0.677377i
\(536\) −3.83461 6.64175i −0.165630 0.286880i
\(537\) 1.36042 2.35631i 0.0587063 0.101682i
\(538\) −25.5481 25.5481i −1.10146 1.10146i
\(539\) 1.97179 + 18.7836i 0.0849308 + 0.809067i
\(540\) −11.5349 + 3.09075i −0.496381 + 0.133005i
\(541\) −17.3442 17.3442i −0.745687 0.745687i 0.227979 0.973666i \(-0.426788\pi\)
−0.973666 + 0.227979i \(0.926788\pi\)
\(542\) 44.2481 + 25.5467i 1.90062 + 1.09732i
\(543\) −13.3823 + 7.72625i −0.574288 + 0.331565i
\(544\) 8.48354 + 2.27316i 0.363729 + 0.0974608i
\(545\) −57.5968 −2.46718
\(546\) 10.9183 + 17.8533i 0.467260 + 0.764052i
\(547\) 26.8037 1.14604 0.573022 0.819540i \(-0.305771\pi\)
0.573022 + 0.819540i \(0.305771\pi\)
\(548\) 18.2472 + 4.88933i 0.779483 + 0.208862i
\(549\) −4.55683 + 2.63089i −0.194481 + 0.112284i
\(550\) 66.7735 + 38.5517i 2.84723 + 1.64385i
\(551\) 4.10570 + 4.10570i 0.174909 + 0.174909i
\(552\) 9.25172 2.47899i 0.393779 0.105513i
\(553\) 3.04099 0.563411i 0.129316 0.0239587i
\(554\) −12.6847 12.6847i −0.538923 0.538923i
\(555\) 8.51132 14.7420i 0.361285 0.625765i
\(556\) −0.495023 0.857405i −0.0209936 0.0363621i
\(557\) −3.42508 + 12.7826i −0.145125 + 0.541615i 0.854624 + 0.519247i \(0.173787\pi\)
−0.999750 + 0.0223686i \(0.992879\pi\)
\(558\) 10.4466 0.442242
\(559\) 16.5979 37.1953i 0.702017 1.57319i
\(560\) 1.51214 19.1978i 0.0638997 0.811254i
\(561\) 3.12428 + 0.837148i 0.131907 + 0.0353444i
\(562\) −4.87361 8.44134i −0.205581 0.356077i
\(563\) −8.52959 + 14.7737i −0.359479 + 0.622636i −0.987874 0.155258i \(-0.950379\pi\)
0.628395 + 0.777895i \(0.283712\pi\)
\(564\) −8.37685 + 8.37685i −0.352729 + 0.352729i
\(565\) 12.9496 3.46983i 0.544793 0.145977i
\(566\) −7.21260 26.9178i −0.303168 1.13144i
\(567\) 1.71815 + 2.01196i 0.0721554 + 0.0844942i
\(568\) 2.75784 4.77673i 0.115717 0.200427i
\(569\) −26.6276 + 15.3735i −1.11629 + 0.644489i −0.940450 0.339931i \(-0.889596\pi\)
−0.175837 + 0.984419i \(0.556263\pi\)
\(570\) 17.6567 + 4.73110i 0.739557 + 0.198164i
\(571\) 4.14822i 0.173598i 0.996226 + 0.0867988i \(0.0276637\pi\)
−0.996226 + 0.0867988i \(0.972336\pi\)
\(572\) −21.2497 17.2373i −0.888496 0.720728i
\(573\) 3.27541i 0.136832i
\(574\) −10.6895 + 30.1799i −0.446170 + 1.25969i
\(575\) −34.9927 60.6091i −1.45930 2.52757i
\(576\) −10.9498 6.32186i −0.456241 0.263411i
\(577\) 8.22860 + 8.22860i 0.342561 + 0.342561i 0.857329 0.514768i \(-0.172122\pi\)
−0.514768 + 0.857329i \(0.672122\pi\)
\(578\) −8.83646 32.9781i −0.367548 1.37171i
\(579\) 5.44447 + 20.3190i 0.226264 + 0.844430i
\(580\) 24.9824 24.9824i 1.03734 1.03734i
\(581\) 9.99049 + 6.86722i 0.414475 + 0.284900i
\(582\) 29.0082 16.7479i 1.20243 0.694223i
\(583\) 7.72369 28.8252i 0.319883 1.19382i
\(584\) −12.0616 −0.499113
\(585\) −5.47396 14.2961i −0.226320 0.591070i
\(586\) 12.5207i 0.517225i
\(587\) 2.86420 10.6893i 0.118218 0.441196i −0.881289 0.472577i \(-0.843324\pi\)
0.999508 + 0.0313808i \(0.00999044\pi\)
\(588\) 18.3817 7.05336i 0.758049 0.290876i
\(589\) −8.09348 4.67278i −0.333486 0.192538i
\(590\) 80.0865 80.0865i 3.29711 3.29711i
\(591\) 20.1959 5.41149i 0.830750 0.222599i
\(592\) 6.63909 1.77894i 0.272865 0.0731139i
\(593\) −9.97769 + 9.97769i −0.409734 + 0.409734i −0.881646 0.471911i \(-0.843564\pi\)
0.471911 + 0.881646i \(0.343564\pi\)
\(594\) −5.12605 2.95953i −0.210324 0.121431i
\(595\) 12.1549 5.79661i 0.498301 0.237638i
\(596\) −8.59127 + 32.0631i −0.351912 + 1.31335i
\(597\) 24.9370i 1.02060i
\(598\) 15.1959 + 39.6864i 0.621406 + 1.62290i
\(599\) 34.7079 1.41813 0.709063 0.705145i \(-0.249118\pi\)
0.709063 + 0.705145i \(0.249118\pi\)
\(600\) 6.01050 22.4315i 0.245378 0.915761i
\(601\) −11.2636 + 6.50302i −0.459450 + 0.265264i −0.711813 0.702369i \(-0.752126\pi\)
0.252363 + 0.967633i \(0.418792\pi\)
\(602\) −54.0337 37.1414i −2.20225 1.51377i
\(603\) 3.04189 3.04189i 0.123875 0.123875i
\(604\) −12.6366 47.1604i −0.514175 1.91893i
\(605\) −4.08802 15.2567i −0.166202 0.620273i
\(606\) 2.49155 + 2.49155i 0.101212 + 0.101212i
\(607\) 18.9672 + 10.9507i 0.769856 + 0.444477i 0.832823 0.553539i \(-0.186723\pi\)
−0.0629670 + 0.998016i \(0.520056\pi\)
\(608\) 7.18915 + 12.4520i 0.291559 + 0.504994i
\(609\) −7.37849 2.61339i −0.298991 0.105900i
\(610\) 49.0092i 1.98432i
\(611\) −11.7939 9.56698i −0.477132 0.387039i
\(612\) 3.37179i 0.136297i
\(613\) −10.3087 2.76221i −0.416365 0.111565i 0.0445537 0.999007i \(-0.485813\pi\)
−0.460919 + 0.887442i \(0.652480\pi\)
\(614\) −27.4815 + 15.8665i −1.10906 + 0.640319i
\(615\) 11.7102 20.2827i 0.472201 0.817876i
\(616\) −9.67769 + 8.26445i −0.389925 + 0.332984i
\(617\) 5.78797 + 21.6010i 0.233015 + 0.869624i 0.979034 + 0.203699i \(0.0652963\pi\)
−0.746019 + 0.665925i \(0.768037\pi\)
\(618\) 30.7253 8.23282i 1.23595 0.331172i
\(619\) 5.50453 5.50453i 0.221246 0.221246i −0.587777 0.809023i \(-0.699997\pi\)
0.809023 + 0.587777i \(0.199997\pi\)
\(620\) −28.4330 + 49.2474i −1.14190 + 1.97782i
\(621\) 2.68631 + 4.65282i 0.107798 + 0.186711i
\(622\) −30.9689 8.29810i −1.24174 0.332723i
\(623\) −13.1127 1.03284i −0.525349 0.0413800i
\(624\) 2.51881 5.64456i 0.100833 0.225963i
\(625\) −79.5531 −3.18213
\(626\) −10.2193 + 38.1390i −0.408446 + 1.52434i
\(627\) 2.64759 + 4.58576i 0.105735 + 0.183138i
\(628\) −6.20341 + 10.7446i −0.247543 + 0.428757i
\(629\) 3.39863 + 3.39863i 0.135512 + 0.135512i
\(630\) −24.2307 + 4.48928i −0.965373 + 0.178857i
\(631\) −20.7278 + 5.55399i −0.825160 + 0.221101i −0.646601 0.762828i \(-0.723810\pi\)
−0.178559 + 0.983929i \(0.557143\pi\)
\(632\) 1.47358 + 1.47358i 0.0586157 + 0.0586157i
\(633\) 9.45972 + 5.46157i 0.375990 + 0.217078i
\(634\) 32.4660 18.7442i 1.28939 0.744429i
\(635\) −27.3364 7.32477i −1.08481 0.290675i
\(636\) −31.1088 −1.23354
\(637\) 11.4364 + 22.4991i 0.453126 + 0.891447i
\(638\) 17.5119 0.693304
\(639\) 2.98848 + 0.800761i 0.118223 + 0.0316776i
\(640\) 48.1116 27.7772i 1.90178 1.09799i
\(641\) −40.6530 23.4710i −1.60570 0.927050i −0.990318 0.138818i \(-0.955670\pi\)
−0.615379 0.788231i \(-0.710997\pi\)
\(642\) −5.92635 5.92635i −0.233894 0.233894i
\(643\) −22.4152 + 6.00613i −0.883968 + 0.236859i −0.672118 0.740444i \(-0.734615\pi\)
−0.211850 + 0.977302i \(0.567949\pi\)
\(644\) 39.3116 7.28336i 1.54910 0.287005i
\(645\) 33.9147 + 33.9147i 1.33539 + 1.33539i
\(646\) −2.58064 + 4.46981i −0.101534 + 0.175862i
\(647\) 6.98028 + 12.0902i 0.274423 + 0.475315i 0.969989 0.243147i \(-0.0781798\pi\)
−0.695566 + 0.718462i \(0.744846\pi\)
\(648\) −0.461412 + 1.72201i −0.0181260 + 0.0676471i
\(649\) 32.8087 1.28786
\(650\) 101.753 + 16.2038i 3.99108 + 0.635567i
\(651\) 12.5600 + 0.989311i 0.492266 + 0.0387741i
\(652\) −1.71833 0.460426i −0.0672951 0.0180317i
\(653\) −13.4921 23.3689i −0.527985 0.914497i −0.999468 0.0326216i \(-0.989614\pi\)
0.471483 0.881875i \(-0.343719\pi\)
\(654\) −14.8801 + 25.7731i −0.581859 + 1.00781i
\(655\) 29.4278 29.4278i 1.14984 1.14984i
\(656\) 9.13431 2.44753i 0.356635 0.0955601i
\(657\) −1.75109 6.53517i −0.0683166 0.254961i
\(658\) −18.5905 + 15.8757i −0.724733 + 0.618900i
\(659\) 2.76889 4.79586i 0.107861 0.186820i −0.807043 0.590493i \(-0.798933\pi\)
0.914903 + 0.403673i \(0.132267\pi\)
\(660\) 27.9035 16.1101i 1.08614 0.627085i
\(661\) −36.8331 9.86941i −1.43264 0.383875i −0.542692 0.839932i \(-0.682595\pi\)
−0.889951 + 0.456057i \(0.849261\pi\)
\(662\) 21.7939i 0.847046i
\(663\) 4.29903 0.448190i 0.166960 0.0174062i
\(664\) 8.16876i 0.317009i
\(665\) 20.7807 + 7.36032i 0.805839 + 0.285421i
\(666\) −4.39780 7.61721i −0.170411 0.295161i
\(667\) −13.7657 7.94763i −0.533010 0.307733i
\(668\) −33.7200 33.7200i −1.30466 1.30466i
\(669\) 3.99267 + 14.9009i 0.154366 + 0.576100i
\(670\) 10.3705 + 38.7033i 0.400648 + 1.49524i
\(671\) 10.0387 10.0387i 0.387540 0.387540i
\(672\) −15.9739 10.9801i −0.616206 0.423565i
\(673\) 5.72219 3.30371i 0.220574 0.127349i −0.385642 0.922649i \(-0.626020\pi\)
0.606216 + 0.795300i \(0.292687\pi\)
\(674\) −3.66100 + 13.6630i −0.141016 + 0.526281i
\(675\) 13.0263 0.501383
\(676\) −34.7557 11.3575i −1.33676 0.436827i
\(677\) 21.3320i 0.819855i 0.912118 + 0.409928i \(0.134446\pi\)
−0.912118 + 0.409928i \(0.865554\pi\)
\(678\) 1.79286 6.69105i 0.0688544 0.256968i
\(679\) 36.4627 17.3889i 1.39931 0.667326i
\(680\) 7.85819 + 4.53693i 0.301348 + 0.173983i
\(681\) −13.6568 + 13.6568i −0.523331 + 0.523331i
\(682\) −27.2258 + 7.29513i −1.04253 + 0.279345i
\(683\) −1.32430 + 0.354846i −0.0506730 + 0.0135778i −0.284067 0.958805i \(-0.591684\pi\)
0.233393 + 0.972382i \(0.425017\pi\)
\(684\) 3.90319 3.90319i 0.149242 0.149242i
\(685\) −24.6958 14.2581i −0.943576 0.544774i
\(686\) 38.9584 11.5318i 1.48744 0.440286i
\(687\) 4.61689 17.2305i 0.176145 0.657383i
\(688\) 19.3660i 0.738323i
\(689\) −4.13508 39.6636i −0.157534 1.51106i
\(690\) −50.0416 −1.90505
\(691\) −8.87327 + 33.1155i −0.337555 + 1.25977i 0.563517 + 0.826104i \(0.309448\pi\)
−0.901072 + 0.433669i \(0.857219\pi\)
\(692\) 22.4422 12.9570i 0.853124 0.492551i
\(693\) −5.88280 4.04369i −0.223469 0.153607i
\(694\) −18.6303 + 18.6303i −0.707197 + 0.707197i
\(695\) 0.386803 + 1.44357i 0.0146723 + 0.0547577i
\(696\) −1.36512 5.09470i −0.0517447 0.193114i
\(697\) 4.67597 + 4.67597i 0.177115 + 0.177115i
\(698\) −48.3762 27.9300i −1.83107 1.05717i
\(699\) −12.4709 21.6002i −0.471693 0.816996i
\(700\) 32.3638 91.3738i 1.22324 3.45361i
\(701\) 42.5906i 1.60862i 0.594208 + 0.804312i \(0.297466\pi\)
−0.594208 + 0.804312i \(0.702534\pi\)
\(702\) −7.81134 1.24393i −0.294820 0.0469492i
\(703\) 7.86853i 0.296767i
\(704\) 32.9518 + 8.82940i 1.24192 + 0.332771i
\(705\) 15.4869 8.94137i 0.583271 0.336751i
\(706\) −10.3007 + 17.8413i −0.387671 + 0.671466i
\(707\) 2.75964 + 3.23155i 0.103787 + 0.121535i
\(708\) −8.85197 33.0360i −0.332678 1.24157i
\(709\) 37.3239 10.0009i 1.40173 0.375592i 0.522764 0.852478i \(-0.324901\pi\)
0.878965 + 0.476886i \(0.158234\pi\)
\(710\) −20.3769 + 20.3769i −0.764730 + 0.764730i
\(711\) −0.584473 + 1.01234i −0.0219195 + 0.0379656i
\(712\) −4.43148 7.67556i −0.166077 0.287654i
\(713\) 24.7124 + 6.62166i 0.925486 + 0.247983i
\(714\) 0.546369 6.93655i 0.0204473 0.259594i
\(715\) 24.2494 + 33.4355i 0.906876 + 1.25042i
\(716\) 7.65273 0.285996
\(717\) −1.71275 + 6.39206i −0.0639637 + 0.238716i
\(718\) 25.2525 + 43.7385i 0.942413 + 1.63231i
\(719\) −25.0297 + 43.3527i −0.933450 + 1.61678i −0.156076 + 0.987745i \(0.549884\pi\)
−0.777375 + 0.629038i \(0.783449\pi\)
\(720\) 5.14671 + 5.14671i 0.191807 + 0.191807i
\(721\) 37.7208 6.98862i 1.40480 0.260270i
\(722\) 32.0998 8.60112i 1.19463 0.320101i
\(723\) −0.461806 0.461806i −0.0171748 0.0171748i
\(724\) −37.6396 21.7312i −1.39886 0.807634i
\(725\) −33.3759 + 19.2696i −1.23955 + 0.715655i
\(726\) −7.88314 2.11228i −0.292571 0.0783941i
\(727\) −5.22923 −0.193941 −0.0969707 0.995287i \(-0.530915\pi\)
−0.0969707 + 0.995287i \(0.530915\pi\)
\(728\) −8.12831 + 14.9382i −0.301255 + 0.553647i
\(729\) −1.00000 −0.0370370
\(730\) 60.8698 + 16.3100i 2.25289 + 0.603661i
\(731\) −11.7280 + 6.77119i −0.433777 + 0.250442i
\(732\) −12.8167 7.39975i −0.473721 0.273503i
\(733\) 10.0406 + 10.0406i 0.370858 + 0.370858i 0.867790 0.496932i \(-0.165540\pi\)
−0.496932 + 0.867790i \(0.665540\pi\)
\(734\) −48.0070 + 12.8634i −1.77197 + 0.474798i
\(735\) −29.5578 + 3.10279i −1.09025 + 0.114448i
\(736\) −27.8329 27.8329i −1.02593 1.02593i
\(737\) −5.80349 + 10.0519i −0.213774 + 0.370268i
\(738\) −6.05066 10.4801i −0.222728 0.385776i
\(739\) −1.48318 + 5.53532i −0.0545598 + 0.203620i −0.987825 0.155567i \(-0.950279\pi\)
0.933265 + 0.359187i \(0.116946\pi\)
\(740\) 47.8786 1.76005
\(741\) 5.49539 + 4.45774i 0.201878 + 0.163759i
\(742\) −63.9979 5.04090i −2.34944 0.185057i
\(743\) 0.617584 + 0.165481i 0.0226569 + 0.00607091i 0.270130 0.962824i \(-0.412933\pi\)
−0.247473 + 0.968895i \(0.579600\pi\)
\(744\) 4.24471 + 7.35205i 0.155618 + 0.269539i
\(745\) 25.0536 43.3941i 0.917892 1.58984i
\(746\) −34.2932 + 34.2932i −1.25556 + 1.25556i
\(747\) −4.42595 + 1.18593i −0.161937 + 0.0433909i
\(748\) 2.35460 + 8.78749i 0.0860928 + 0.321303i
\(749\) −6.56404 7.68650i −0.239845 0.280859i
\(750\) −37.3793 + 64.7428i −1.36490 + 2.36407i
\(751\) −22.0888 + 12.7530i −0.806031 + 0.465362i −0.845576 0.533856i \(-0.820743\pi\)
0.0395448 + 0.999218i \(0.487409\pi\)
\(752\) 6.97454 + 1.86882i 0.254335 + 0.0681490i
\(753\) 19.7895i 0.721171i
\(754\) 21.8543 8.36799i 0.795887 0.304744i
\(755\) 73.7008i 2.68225i
\(756\) −2.48450 + 7.01456i −0.0903602 + 0.255117i
\(757\) 8.06785 + 13.9739i 0.293231 + 0.507891i 0.974572 0.224075i \(-0.0719362\pi\)
−0.681341 + 0.731966i \(0.738603\pi\)
\(758\) 2.02669 + 1.17011i 0.0736127 + 0.0425003i
\(759\) −10.2502 10.2502i −0.372058 0.372058i
\(760\) 3.84470 + 14.3486i 0.139462 + 0.520479i
\(761\) 6.42639 + 23.9836i 0.232957 + 0.869406i 0.979059 + 0.203575i \(0.0652561\pi\)
−0.746103 + 0.665831i \(0.768077\pi\)
\(762\) −10.3400 + 10.3400i −0.374580 + 0.374580i
\(763\) −20.3312 + 29.5780i −0.736038 + 1.07079i
\(764\) 7.97831 4.60628i 0.288645 0.166649i
\(765\) −1.31733 + 4.91635i −0.0476283 + 0.177751i
\(766\) −27.3856 −0.989481
\(767\) 40.9442 15.6775i 1.47841 0.566082i
\(768\) 3.41758i 0.123321i
\(769\) 3.09729 11.5592i 0.111691 0.416837i −0.887327 0.461141i \(-0.847440\pi\)
0.999018 + 0.0443040i \(0.0141070\pi\)
\(770\) 60.0145 28.6207i 2.16277 1.03142i
\(771\) −13.8078 7.97194i −0.497276 0.287102i
\(772\) −41.8368 + 41.8368i −1.50574 + 1.50574i
\(773\) −1.00730 + 0.269904i −0.0362299 + 0.00970777i −0.276888 0.960902i \(-0.589303\pi\)
0.240659 + 0.970610i \(0.422637\pi\)
\(7