Properties

Label 273.2.by.d.202.2
Level $273$
Weight $2$
Character 273.202
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 202.2
Character \(\chi\) \(=\) 273.202
Dual form 273.2.by.d.223.2

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(-1\)

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 −0.912556 0.408953i \(-0.865894\pi\)
−0.585820 + 0.810441i \(0.699227\pi\)
\(3\) 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 −0.449179 + 0.893442i \(0.648283\pi\)
−0.893442 + 0.449179i \(0.851717\pi\)
\(6\) −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 −0.987685 0.156455i \(-0.949993\pi\)
0.777133 0.629337i \(-0.216673\pi\)
\(12\) 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 0.929513 0.368789i \(-0.120228\pi\)
−0.784137 + 0.620587i \(0.786894\pi\)
\(18\) −1.55123 1.55123i −0.365629 0.365629i
\(19\) 1.89568 + 0.507945i 0.434898 + 0.116531i 0.469624 0.882866i \(-0.344389\pi\)
−0.0347266 + 0.999397i \(0.511056\pi\)
\(20\) −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 −0.0708893 0.997484i \(-0.522584\pi\)
−0.899291 + 0.437350i \(0.855917\pi\)
\(24\) −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 −0.695362 0.718659i \(-0.744756\pi\)
0.970058 + 0.242872i \(0.0780894\pi\)
\(30\) 8.06633 4.65710i 1.47270 0.850266i
\(31\) −3.36721 + 3.36721i −0.604768 + 0.604768i −0.941574 0.336806i \(-0.890653\pi\)
0.336806 + 0.941574i \(0.390653\pi\)
\(32\) 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 −0.997260 0.0739770i \(-0.976431\pi\)
0.826664 0.562696i \(-0.190236\pi\)
\(38\) −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 −0.983208 0.182489i \(-0.941585\pi\)
0.760239 0.649644i \(-0.225082\pi\)
\(42\) 5.23893 + 2.49843i 0.808384 + 0.385516i
\(43\) −9.78317 + 5.64832i −1.49192 + 0.861360i −0.999957 0.00925580i \(-0.997054\pi\)
−0.491963 + 0.870616i \(0.663720\pi\)
\(44\) −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 0.455704 0.890131i \(-0.349387\pi\)
−0.890131 + 0.455704i \(0.849387\pi\)
\(48\) −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 0.385428 + 0.922738i \(0.374054\pi\)
−0.795160 + 0.606400i \(0.792613\pi\)
\(60\) −8.44410 + 8.44410i −1.09013 + 1.09013i
\(61\) −4.55683 + 2.63089i −0.583442 + 0.336851i −0.762500 0.646988i \(-0.776028\pi\)
0.179058 + 0.983839i \(0.442695\pi\)
\(62\) 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 0.00410235 0.999992i \(-0.498694\pi\)
0.503549 + 0.863967i \(0.332028\pi\)
\(68\) 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 −0.901992 0.431754i \(-0.857895\pi\)
0.997024 + 0.0770861i \(0.0245616\pi\)
\(72\) −1.72201 0.461412i −0.202941 0.0543780i
\(73\) 4.78407 + 4.78407i 0.559933 + 0.559933i 0.929288 0.369355i \(-0.120421\pi\)
−0.369355 + 0.929288i \(0.620421\pi\)
\(74\) 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 −0.862202 0.506564i \(-0.830915\pi\)
0.506564 + 0.862202i \(0.330915\pi\)
\(84\) −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 0.00483713 0.999988i \(-0.498460\pi\)
0.504183 + 0.863597i \(0.331794\pi\)
\(90\) 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 −0.585214 0.810879i \(-0.698990\pi\)
−0.912250 + 0.409634i \(0.865656\pi\)
\(98\) −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 −0.903211 0.429197i \(-0.858797\pi\)
0.823301 + 0.567605i \(0.192130\pi\)
\(102\) −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 −0.758797 0.651327i \(-0.774213\pi\)
0.943464 + 0.331475i \(0.107546\pi\)
\(108\) 1.40632 + 2.43582i 0.135323 + 0.234387i
\(109\) 9.59246 + 9.59246i 0.918791 + 0.918791i 0.996942 0.0781507i \(-0.0249015\pi\)
−0.0781507 + 0.996942i \(0.524902\pi\)
\(110\) −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 0.782160 0.623078i \(-0.214118\pi\)
−0.930681 + 0.365831i \(0.880785\pi\)
\(114\) −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 0.733754 0.679415i \(-0.237767\pi\)
−0.221514 + 0.975157i \(0.571100\pi\)
\(128\) −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 \(-0.859145\pi\)
0.903680 0.428207i \(-0.140855\pi\)
\(132\) −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 0.525073 0.851057i \(-0.324038\pi\)
0.0291978 + 0.999574i \(0.490705\pi\)
\(138\) 8.33418 + 8.33418i 0.709452 + 0.709452i
\(139\) −0.304839 + 0.175999i −0.0258561 + 0.0149280i −0.512872 0.858465i \(-0.671419\pi\)
0.487016 + 0.873393i \(0.338085\pi\)
\(140\) 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 −0.720443 0.693514i \(-0.756062\pi\)
0.970679 0.240379i \(-0.0772716\pi\)
\(150\) −7.39621 + 27.6030i −0.603898 + 2.25378i
\(151\) −12.2745 + 12.2745i −0.998884 + 0.998884i −0.999999 0.00111530i \(-0.999645\pi\)
0.00111530 + 0.999999i \(0.499645\pi\)
\(152\) −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 \(-0.943677\pi\)
0.984386 0.176022i \(-0.0563228\pi\)
\(158\) 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 0.234814 0.972040i \(-0.424552\pi\)
−0.282666 + 0.959219i \(0.591219\pi\)
\(164\) −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 −0.828988 0.559266i \(-0.811083\pi\)
−0.438292 + 0.898833i \(0.644416\pi\)
\(168\) 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 0.986291 0.165013i \(-0.0527665\pi\)
−0.636051 + 0.771647i \(0.719433\pi\)
\(174\) −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 0.585468 0.810696i \(-0.300911\pi\)
−0.409349 + 0.912378i \(0.634244\pi\)
\(180\) −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 0.919173 0.393853i \(-0.128858\pi\)
−0.800673 + 0.599101i \(0.795525\pi\)
\(192\) −6.32186 + 10.9498i −0.456241 + 0.790232i
\(193\) −5.44447 20.3190i −0.391901 1.46260i −0.826995 0.562210i \(-0.809951\pi\)
0.435093 0.900385i \(-0.356715\pi\)
\(194\) 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 0.546753 0.837294i \(-0.315864\pi\)
0.892149 + 0.451741i \(0.149197\pi\)
\(198\) −2.95953 + 5.12605i −0.210324 + 0.364293i
\(199\) −12.4685 21.5960i −0.883867 1.53090i −0.847007 0.531582i \(-0.821598\pi\)
−0.0368601 0.999320i \(-0.511736\pi\)
\(200\) 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 −0.614485 0.788929i \(-0.710636\pi\)
0.990475 + 0.137695i \(0.0439694\pi\)
\(212\) −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 −0.960784 0.277297i \(-0.910561\pi\)
0.693415 0.720538i \(-0.256105\pi\)
\(224\) −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 −0.420442 0.907319i \(-0.638125\pi\)
−0.817773 + 0.575541i \(0.804792\pi\)
\(228\) 5.33186 + 1.42867i 0.353111 + 0.0946159i
\(229\) 12.6136 + 12.6136i 0.833528 + 0.833528i 0.987998 0.154470i \(-0.0493669\pi\)
−0.154470 + 0.987998i \(0.549367\pi\)
\(230\) −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 \(0.304362\pi\)
−0.576643 + 0.816996i \(0.695638\pi\)
\(234\) −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 0.539382 0.842061i \(-0.318658\pi\)
−0.842061 + 0.539382i \(0.818658\pi\)
\(240\) 1.88383 7.03054i 0.121600 0.453819i
\(241\) −0.169033 + 0.630839i −0.0108884 + 0.0406359i −0.971156 0.238444i \(-0.923363\pi\)
0.960268 + 0.279080i \(0.0900294\pi\)
\(242\) −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 0.988627 + 0.150386i \(0.0480518\pi\)
−0.364075 + 0.931370i \(0.618615\pi\)
\(252\) −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 −0.999995 0.00314245i \(-0.999000\pi\)
0.502719 + 0.864450i \(0.332333\pi\)
\(258\) 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 −0.872660 0.488328i \(-0.837607\pi\)
0.859235 + 0.511582i \(0.170940\pi\)
\(264\) 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 0.00240680 0.999997i \(-0.499234\pi\)
0.867226 + 0.497914i \(0.165901\pi\)
\(270\) 8.06633 + 4.65710i 0.490901 + 0.283422i
\(271\) −22.4966 + 6.02794i −1.36657 + 0.366171i −0.866224 0.499655i \(-0.833460\pi\)
−0.500345 + 0.865826i \(0.666793\pi\)
\(272\) −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 −0.271930 0.962317i \(-0.587662\pi\)
0.697426 + 0.716657i \(0.254329\pi\)
\(278\) 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 −0.607159 0.794581i \(-0.707691\pi\)
0.794581 + 0.607159i \(0.207691\pi\)
\(282\) 4.62001 + 8.00209i 0.275117 + 0.476517i
\(283\) 6.35147 11.0011i 0.377555 0.653945i −0.613151 0.789966i \(-0.710098\pi\)
0.990706 + 0.136021i \(0.0434314\pi\)
\(284\) −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 −0.995557 0.0941633i \(-0.969982\pi\)
0.909259 + 0.416231i \(0.136649\pi\)
\(294\) −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 0.935934 0.352174i \(-0.114558\pi\)
−0.352174 + 0.935934i \(0.614558\pi\)
\(308\) 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 \(0.169861\pi\)
−0.860965 + 0.508665i \(0.830139\pi\)
\(314\) 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 0.281026 0.959700i \(-0.409325\pi\)
−0.959700 + 0.281026i \(0.909325\pi\)
\(318\) 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 −0.858564 0.512706i \(-0.828643\pi\)
0.999891 0.0147345i \(-0.00469030\pi\)
\(332\) −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 \(0.0561920\pi\)
−0.984459 + 0.175617i \(0.943808\pi\)
\(338\) 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 0.980976 0.194131i \(-0.0621886\pi\)
−0.658610 + 0.752484i \(0.728855\pi\)
\(348\) 4.16070 7.20655i 0.223037 0.386311i
\(349\) 24.5954 6.59031i 1.31656 0.352771i 0.468872 0.883266i \(-0.344661\pi\)
0.847688 + 0.530495i \(0.177994\pi\)
\(350\) −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 0.999958 0.00921021i \(-0.00293174\pi\)
−0.870594 + 0.492003i \(0.836265\pi\)
\(354\) 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 −0.991240 0.132070i \(-0.957838\pi\)
0.132070 + 0.991240i \(0.457838\pi\)
\(360\) 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 0.915305 0.402761i \(-0.131949\pi\)
0.108851 + 0.994058i \(0.465283\pi\)
\(368\) 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 0.996326 + 0.0856409i \(0.0272938\pi\)
−0.423996 + 0.905664i \(0.639373\pi\)
\(374\) −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 −0.285186 0.958472i \(-0.592055\pi\)
0.232258 + 0.972654i \(0.425389\pi\)
\(380\) −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 0.553369 0.832936i \(-0.313342\pi\)
0.0627635 + 0.998028i \(0.480009\pi\)
\(384\) 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 \(0.160095\pi\)
−0.876163 + 0.482015i \(0.839905\pi\)
\(390\) −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 −0.981317 0.192397i \(-0.938374\pi\)
0.946044 + 0.324038i \(0.105041\pi\)
\(398\) 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 0.983393 0.181488i \(-0.0580915\pi\)
−0.942388 + 0.334523i \(0.891425\pi\)
\(402\) −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 0.184436 0.982845i \(-0.440954\pi\)
−0.331696 + 0.943386i \(0.607621\pi\)
\(410\) −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 −0.423508 0.905893i \(-0.639201\pi\)
−0.996280 + 0.0861779i \(0.972535\pi\)
\(420\) 26.0371 17.8972i 1.27048 0.873296i
\(421\) 18.2634 + 18.2634i 0.890104 + 0.890104i 0.994532 0.104429i \(-0.0333014\pi\)
−0.104429 + 0.994532i \(0.533301\pi\)
\(422\) −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 −0.642541 0.766251i \(-0.722120\pi\)
−0.173331 + 0.984864i \(0.555453\pi\)
\(432\) −1.48464 0.857159i −0.0714299 0.0412401i
\(433\) −17.6656 30.5978i −0.848957 1.47044i −0.882140 0.470987i \(-0.843898\pi\)
0.0331835 0.999449i \(-0.489435\pi\)
\(434\) −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 −0.998167 0.0605168i \(-0.980725\pi\)
0.551493 + 0.834180i \(0.314058\pi\)
\(440\) −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 −0.221474 0.975166i \(-0.571087\pi\)
−0.679385 + 0.733782i \(0.737753\pi\)
\(450\) −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 −0.0698958 0.997554i \(-0.522267\pi\)
0.438246 + 0.898855i \(0.355600\pi\)
\(458\) −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 0.913024 0.407907i \(-0.133741\pi\)
0.586748 + 0.809769i \(0.300408\pi\)
\(462\) 2.85288 15.3983i 0.132728 0.716394i
\(463\) 1.66118 1.66118i 0.0772018 0.0772018i −0.667452 0.744653i \(-0.732615\pi\)
0.744653 + 0.667452i \(0.232615\pi\)
\(464\) 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 0.303010 0.952987i \(-0.402008\pi\)
0.738908 + 0.673806i \(0.235342\pi\)
\(480\) 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 −0.999802 0.0199217i \(-0.993658\pi\)
0.875814 + 0.482648i \(0.160325\pi\)
\(488\) 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 0.698201 0.715901i \(-0.253984\pi\)
−0.270888 + 0.962611i \(0.587317\pi\)
\(492\) −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 0.0519238 0.998651i \(-0.483465\pi\)
−0.998651 + 0.0519238i \(0.983465\pi\)
\(500\) 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 −0.627944 0.778259i \(-0.716103\pi\)
0.360020 + 0.932945i \(0.382770\pi\)
\(504\) 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 0.888803 0.458290i \(-0.151538\pi\)
−0.998871 + 0.0475103i \(0.984871\pi\)
\(510\) 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 \(0.127642\pi\)
−0.920672 + 0.390338i \(0.872358\pi\)
\(522\) −6.26927 + 1.67985i −0.274399 + 0.0735249i
\(523\) 6.40070 + 3.69545i 0.279883 + 0.161591i 0.633370 0.773849i \(-0.281671\pi\)
−0.353487 + 0.935439i \(0.615004\pi\)
\(524\) −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 −0.973666 0.227979i \(-0.926788\pi\)
0.227979 + 0.973666i \(0.426788\pi\)
\(542\) 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 −0.999750 0.0223686i \(-0.992879\pi\)
0.854624 0.519247i \(-0.173787\pi\)
\(558\) 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 0.628395 0.777895i \(-0.283712\pi\)
−0.987874 + 0.155258i \(0.950379\pi\)
\(564\) −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 −0.175837 0.984419i \(-0.556263\pi\)
−0.940450 + 0.339931i \(0.889596\pi\)
\(570\) 17.6567 4.73110i 0.739557 0.198164i
\(571\) 4.14822i 0.173598i −0.996226 0.0867988i \(-0.972336\pi\)
0.996226 0.0867988i \(-0.0276637\pi\)
\(572\) −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 −0.514768 0.857329i \(-0.672122\pi\)
0.857329 + 0.514768i \(0.172122\pi\)
\(578\) −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 0.999508 0.0313808i \(-0.00999044\pi\)
−0.881289 + 0.472577i \(0.843324\pi\)
\(588\) 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 0.471911 0.881646i \(-0.343564\pi\)
−0.881646 + 0.471911i \(0.843564\pi\)
\(594\) −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 0.252363 0.967633i \(-0.418792\pi\)
−0.711813 + 0.702369i \(0.752126\pi\)
\(602\) −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 −0.0629670 0.998016i \(-0.520056\pi\)
0.832823 + 0.553539i \(0.186723\pi\)
\(608\) 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 −0.460919 0.887442i \(-0.652480\pi\)
0.0445537 + 0.999007i \(0.485813\pi\)
\(614\) −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 −0.746019 0.665925i \(-0.768037\pi\)
0.979034 0.203699i \(-0.0652963\pi\)
\(618\) 30.7253 + 8.23282i 1.23595 + 0.331172i
\(619\) 5.50453 + 5.50453i 0.221246 + 0.221246i 0.809023 0.587777i \(-0.199997\pi\)
−0.587777 + 0.809023i \(0.699997\pi\)
\(620\) −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 −0.178559 0.983929i \(-0.557143\pi\)
−0.646601 + 0.762828i \(0.723810\pi\)
\(632\) 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 −0.615379 + 0.788231i \(0.710997\pi\)
−0.990318 + 0.138818i \(0.955670\pi\)
\(642\) −5.92635 + 5.92635i −0.233894 + 0.233894i
\(643\) −22.4152 6.00613i −0.883968 0.236859i −0.211850 0.977302i \(-0.567949\pi\)
−0.672118 + 0.740444i \(0.734615\pi\)
\(644\) 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 −0.695566 0.718462i \(-0.744846\pi\)
0.969989 + 0.243147i \(0.0781798\pi\)
\(648\) −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 0.471483 + 0.881875i \(0.343719\pi\)
−0.999468 + 0.0326216i \(0.989614\pi\)
\(654\) −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 0.914903 0.403673i \(-0.132267\pi\)
−0.807043 + 0.590493i \(0.798933\pi\)
\(660\) 27.9035 + 16.1101i 1.08614 + 0.627085i
\(661\) −36.8331 + 9.86941i −1.43264 + 0.383875i −0.889951 0.456057i \(-0.849261\pi\)
−0.542692 + 0.839932i \(0.682595\pi\)
\(662\) 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 0.606216 0.795300i \(-0.292687\pi\)
−0.385642 + 0.922649i \(0.626020\pi\)
\(674\) −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 \(-0.865554\pi\)
0.912118 0.409928i \(-0.134446\pi\)
\(678\) 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 0.233393 0.972382i \(-0.425017\pi\)
−0.284067 + 0.958805i \(0.591684\pi\)
\(684\) 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 −0.901072 0.433669i \(-0.857219\pi\)
0.563517 0.826104i \(-0.309448\pi\)
\(692\) 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 \(-0.702534\pi\)
0.594208 0.804312i \(-0.297466\pi\)
\(702\) −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 0.878965 0.476886i \(-0.158234\pi\)
0.522764 + 0.852478i \(0.324901\pi\)
\(710\) −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 −0.777375 0.629038i \(-0.783449\pi\)
−0.156076 0.987745i \(-0.549884\pi\)
\(720\) 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 −0.496932 0.867790i \(-0.665540\pi\)
0.867790 + 0.496932i \(0.165540\pi\)
\(734\) −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 0.933265 0.359187i \(-0.116946\pi\)
−0.987825 + 0.155567i \(0.950279\pi\)
\(740\) 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 −0.247473 0.968895i \(-0.579600\pi\)
0.270130 + 0.962824i \(0.412933\pi\)
\(744\) 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 0.0395448 0.999218i \(-0.487409\pi\)
−0.845576 + 0.533856i \(0.820743\pi\)
\(752\) 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 −0.681341 0.731966i \(-0.738603\pi\)
0.974572 + 0.224075i \(0.0719362\pi\)
\(758\) 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 −0.746103 0.665831i \(-0.768077\pi\)
0.979059 0.203575i \(-0.0652561\pi\)
\(762\) −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 0.999018 0.0443040i \(-0.0141070\pi\)
−0.887327 + 0.461141i \(0.847440\pi\)
\(770\) 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 0.240659 0.970610i \(-0.422637\pi\)
−0.276888 + 0.960902i \(0.589303\pi\)