Properties

Label 273.2.by.c.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.c.223.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.11902 + 0.567791i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(2.43582 - 1.40632i) q^{4} +(3.00219 - 3.00219i) q^{5} +(2.11902 + 0.567791i) q^{6} +(-2.49394 - 0.883331i) q^{7} +(-1.26060 + 1.26060i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(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} +(-2.49394 - 0.883331i) 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} +(1.71815 + 2.01196i) 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} +(-7.31704 + 1.35564i) 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} +(-10.1392 + 4.83535i) 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} +(-4.78317 - 3.28783i) 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} +(5.43945 + 4.40594i) 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} +(4.25739 - 2.03033i) 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} +(-0.481982 - 2.60148i) 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} +(18.7397 - 16.0032i) 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} +(7.01456 + 2.48450i) 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} +(4.10012 - 8.61330i) 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} +(-14.0280 - 6.24783i) q^{98} +(1.90786 - 1.90786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

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 \(-0.351717\pi\)
0.893442 0.449179i \(-0.148283\pi\)
\(6\) 2.11902 + 0.567791i 0.865088 + 0.231800i
\(7\) −2.49394 0.883331i −0.942620 0.333868i
\(8\) −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 0.784137 0.620587i \(-0.213106\pi\)
−0.929513 + 0.368789i \(0.879772\pi\)
\(18\) −1.55123 1.55123i −0.365629 0.365629i
\(19\) −1.89568 0.507945i −0.434898 0.116531i 0.0347266 0.999397i \(-0.488944\pi\)
−0.469624 + 0.882866i \(0.655611\pi\)
\(20\) 3.09075 11.5349i 0.691114 2.57927i
\(21\) 1.71815 + 2.01196i 0.374931 + 0.439045i
\(22\) 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
\(28\) −7.31704 + 1.35564i −1.38279 + 0.256193i
\(29\) 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 −0.336806 0.941574i \(-0.609347\pi\)
0.941574 + 0.336806i \(0.109347\pi\)
\(32\) 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
\(35\) −10.1392 + 4.83535i −1.71384 + 0.817324i
\(36\) 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 \(0.0584154\pi\)
−0.760239 + 0.649644i \(0.774918\pi\)
\(42\) −4.78317 3.28783i −0.738058 0.507324i
\(43\) −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 0.890131 0.455704i \(-0.150613\pi\)
−0.455704 + 0.890131i \(0.650613\pi\)
\(48\) 1.48464 0.857159i 0.214290 0.123720i
\(49\) 5.43945 + 4.40594i 0.777065 + 0.629421i
\(50\) 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
\(56\) 4.25739 2.03033i 0.568918 0.271315i
\(57\) 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 \(-0.625946\pi\)
0.795160 0.606400i \(-0.207387\pi\)
\(60\) −8.44410 + 8.44410i −1.09013 + 1.09013i
\(61\) 4.55683 2.63089i 0.583442 0.336851i −0.179058 0.983839i \(-0.557305\pi\)
0.762500 + 0.646988i \(0.223972\pi\)
\(62\) −5.22332 + 9.04706i −0.663362 + 1.14898i
\(63\) −0.481982 2.60148i −0.0607240 0.327756i
\(64\) 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
\(70\) 18.7397 16.0032i 2.23983 1.91274i
\(71\) 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 0.369355 0.929288i \(-0.379579\pi\)
−0.929288 + 0.369355i \(0.879579\pi\)
\(74\) 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 \(-0.669085\pi\)
0.862202 + 0.506564i \(0.169085\pi\)
\(84\) 7.01456 + 2.48450i 0.765352 + 0.271081i
\(85\) −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 \(-0.668206\pi\)
−0.00483713 + 0.999988i \(0.501540\pi\)
\(90\) −9.31419 −0.981802
\(91\) 4.10012 8.61330i 0.429810 0.902919i
\(92\) −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 \(-0.134344\pi\)
0.585214 + 0.810879i \(0.301010\pi\)
\(98\) −14.0280 6.24783i −1.41704 0.631126i
\(99\) 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 \(-0.807870\pi\)
0.903211 + 0.429197i \(0.141203\pi\)
\(102\) −0.680666 2.54028i −0.0673960 0.251525i
\(103\) 14.4997 1.42870 0.714351 0.699787i \(-0.246722\pi\)
0.714351 + 0.699787i \(0.246722\pi\)
\(104\) −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
\(112\) 3.44913 2.94545i 0.325912 0.278319i
\(113\) −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
\(119\) 0.577799 + 3.11865i 0.0529668 + 0.285886i
\(120\) 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
\(126\) 2.49843 + 5.23893i 0.222578 + 0.466721i
\(127\) 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 \(0.140855\pi\)
−0.903680 + 0.428207i \(0.859145\pi\)
\(132\) 1.96414 + 7.33026i 0.170956 + 0.638017i
\(133\) 4.27901 + 2.94129i 0.371038 + 0.255042i
\(134\) −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 −0.487016 0.873393i \(-0.661915\pi\)
0.512872 + 0.858465i \(0.328581\pi\)
\(140\) −17.8972 + 26.0371i −1.51259 + 2.20053i
\(141\) −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
\(147\) −2.50773 6.53539i −0.206834 0.539030i
\(148\) −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
\(154\) −2.85288 15.3983i −0.229891 1.24083i
\(155\) 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
\(161\) 9.23095 + 10.8095i 0.727501 + 0.851905i
\(162\) 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 0.438292 0.898833i \(-0.355584\pi\)
0.828988 + 0.559266i \(0.188917\pi\)
\(168\) −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 \(-0.280567\pi\)
−0.986291 + 0.165013i \(0.947234\pi\)
\(174\) 4.58943 4.58943i 0.347924 0.347924i
\(175\) −11.5065 + 32.4868i −0.869812 + 2.45577i
\(176\) 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 \(-0.305279\pi\)
0.574288 + 0.818653i \(0.305279\pi\)
\(182\) −3.79771 + 20.5798i −0.281505 + 1.52548i
\(183\) −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
\(189\) −0.883331 + 2.49394i −0.0642529 + 0.181407i
\(190\) 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 \(0.178402\pi\)
0.0368601 + 0.999320i \(0.488264\pi\)
\(200\) 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
\(203\) −5.95251 + 5.08326i −0.417784 + 0.356775i
\(204\) 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
\(210\) −24.2307 + 4.48928i −1.67208 + 0.309789i
\(211\) 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
\(217\) −11.3720 + 5.42325i −0.771979 + 0.368154i
\(218\) −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 \(0.0894385\pi\)
−0.693415 + 0.720538i \(0.743895\pi\)
\(224\) −10.9801 + 15.9739i −0.733637 + 1.06730i
\(225\) 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 \(-0.195208\pi\)
0.420442 + 0.907319i \(0.361875\pi\)
\(228\) 5.33186 + 1.42867i 0.353111 + 0.0946159i
\(229\) −12.6136 12.6136i −0.833528 0.833528i 0.154470 0.987998i \(-0.450633\pi\)
−0.987998 + 0.154470i \(0.950633\pi\)
\(230\) 43.3373 25.0208i 2.85758 1.64982i
\(231\) 4.04369 5.88280i 0.266055 0.387060i
\(232\) 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
\(238\) −2.99511 6.28042i −0.194144 0.407099i
\(239\) −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 −0.960268 0.279080i \(-0.909971\pi\)
0.971156 + 0.238444i \(0.0766373\pi\)
\(242\) −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
\(245\) 29.5578 3.10279i 1.88838 0.198230i
\(246\) 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 \(-0.951948\pi\)
0.364075 0.931370i \(-0.381385\pi\)
\(252\) −4.83254 5.65892i −0.304422 0.356478i
\(253\) −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 \(-0.667667\pi\)
0.999995 + 0.00314245i \(0.00100027\pi\)
\(258\) −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
\(266\) −10.7374 3.80308i −0.658350 0.233182i
\(267\) 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 \(-0.834099\pi\)
−0.00240680 + 0.999997i \(0.500766\pi\)
\(270\) 8.06633 + 4.65710i 0.490901 + 0.283422i
\(271\) 22.4966 6.02794i 1.36657 0.366171i 0.500345 0.865826i \(-0.333207\pi\)
0.866224 + 0.499655i \(0.166540\pi\)
\(272\) 2.05512 0.124610
\(273\) −7.85746 + 5.40928i −0.475555 + 0.327384i
\(274\) −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
\(280\) 6.68605 18.8770i 0.399568 1.12811i
\(281\) 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 −0.990706 0.136021i \(-0.956569\pi\)
0.613151 + 0.789966i \(0.289902\pi\)
\(284\) −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 \(-0.863351\pi\)
0.995557 + 0.0941633i \(0.0300176\pi\)
\(294\) 9.02467 + 12.4248i 0.526330 + 0.724627i
\(295\) −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
\(301\) 29.3880 5.44478i 1.69389 0.313832i
\(302\) 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 \(-0.385442\pi\)
−0.935934 + 0.352174i \(0.885442\pi\)
\(308\) 8.64271 + 18.1228i 0.492464 + 1.03264i
\(309\) −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 \(-0.635995\pi\)
−0.414362 + 0.910112i \(0.635995\pi\)
\(312\) 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
\(315\) −9.25714 6.36314i −0.521581 0.358522i
\(316\) −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
\(322\) −25.6981 17.6643i −1.43210 0.984391i
\(323\) 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
\(329\) −4.79684 10.0585i −0.264458 0.554541i
\(330\) −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
\(336\) −4.45976 + 0.826270i −0.243300 + 0.0450767i
\(337\) 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
\(343\) −9.67375 15.7930i −0.522334 0.852741i
\(344\) 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 −0.847688 0.530495i \(-0.822006\pi\)
−0.468872 + 0.883266i \(0.655339\pi\)
\(350\) 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 \(-0.163735\pi\)
−0.999958 + 0.00921021i \(0.997068\pi\)
\(354\) 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
\(357\) 1.05893 2.98973i 0.0560448 0.158233i
\(358\) −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
\(364\) −2.12591 26.7466i −0.111428 1.40190i
\(365\) −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 \(-0.534717\pi\)
−0.915305 + 0.402761i \(0.868051\pi\)
\(368\) 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
\(371\) 27.5838 + 9.76993i 1.43208 + 0.507230i
\(372\) −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 −0.0627635 0.998028i \(-0.519991\pi\)
−0.553369 + 0.832936i \(0.686658\pi\)
\(384\) −3.38658 + 12.6389i −0.172821 + 0.644977i
\(385\) 19.6822 + 23.0479i 1.00310 + 1.17463i
\(386\) 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
\(392\) −12.4111 + 1.30284i −0.626856 + 0.0658035i
\(393\) 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 \(-0.894959\pi\)
0.981317 + 0.192397i \(0.0616260\pi\)
\(398\) −38.6830 38.6830i −1.93900 1.93900i
\(399\) −2.23509 4.68674i −0.111894 0.234630i
\(400\) 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
\(406\) 9.72728 14.1513i 0.482757 0.702318i
\(407\) −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 \(-0.392379\pi\)
−0.184436 + 0.982845i \(0.559046\pi\)
\(410\) −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
\(413\) −18.2241 + 26.5126i −0.896751 + 1.30460i
\(414\) 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 \(-0.0274653\pi\)
0.423508 + 0.905893i \(0.360799\pi\)
\(420\) 28.5180 13.6001i 1.39154 0.663618i
\(421\) 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
\(427\) −13.6884 + 2.53608i −0.662428 + 0.122730i
\(428\) 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 \(0.156102\pi\)
−0.0331835 + 0.999449i \(0.510565\pi\)
\(434\) 21.0182 17.9489i 1.00890 0.861574i
\(435\) −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 \(-0.685942\pi\)
0.998167 + 0.0605168i \(0.0192749\pi\)
\(440\) 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
\(448\) 11.1686 31.5326i 0.527666 1.48978i
\(449\) −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
\(455\) −13.5494 38.1681i −0.635207 1.78935i
\(456\) −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 −0.586748 0.809769i \(-0.699592\pi\)
−0.913024 + 0.407907i \(0.866259\pi\)
\(462\) −5.22848 + 14.7618i −0.243251 + 0.686779i
\(463\) 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 \(-0.408197\pi\)
0.284427 + 0.958698i \(0.408197\pi\)
\(468\) −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
\(476\) 5.79324 + 6.78390i 0.265533 + 0.310939i
\(477\) −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 \(-0.764658\pi\)
−0.303010 + 0.952987i \(0.597992\pi\)
\(480\) 31.1058i 1.41978i
\(481\) 14.2760 2.27341i 0.650930 0.103659i
\(482\) 1.43274i 0.0652594i
\(483\) −2.58951 13.9768i −0.117827 0.635964i
\(484\) 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
\(490\) −60.8719 + 23.3575i −2.74991 + 1.05518i
\(491\) 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
\(497\) −4.63687 + 6.74575i −0.207992 + 0.302588i
\(498\) 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 −0.360020 0.932945i \(-0.617230\pi\)
0.627944 + 0.778259i \(0.283897\pi\)
\(504\) 3.88702 + 2.67184i 0.173141 + 0.119013i
\(505\) −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 \(-0.0151287\pi\)
−0.888803 + 0.458290i \(0.848462\pi\)
\(510\) −9.66990 5.58292i −0.428190 0.247216i
\(511\) 7.70526 + 16.1571i 0.340861 + 0.714748i
\(512\) 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
\(518\) −4.23932 22.8816i −0.186265 1.00536i
\(519\) 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 \(-0.384996\pi\)
−0.633370 + 0.773849i \(0.718329\pi\)
\(524\) 13.7849 + 23.8762i 0.602198 + 1.04304i
\(525\) 26.2084 22.3811i 1.14383 0.976793i
\(526\) 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
\(539\) 7.68418 17.2530i 0.330981 0.743138i
\(540\) −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
\(546\) 13.5788 15.9238i 0.581119 0.681475i
\(547\) 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
\(553\) 2.91528 + 1.03257i 0.123970 + 0.0439092i
\(554\) −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 0.987874 0.155258i \(-0.0496210\pi\)
−0.628395 + 0.777895i \(0.716288\pi\)
\(564\) −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
\(567\) 2.01196 1.71815i 0.0844942 0.0721554i
\(568\) 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
\(574\) 5.83262 + 31.4813i 0.243449 + 1.31401i
\(575\) −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 \(-0.827878\pi\)
0.514768 + 0.857329i \(0.327878\pi\)
\(578\) −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
\(581\) −10.9424 + 5.21840i −0.453968 + 0.216496i
\(582\) 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 \(-0.156676\pi\)
−0.999508 + 0.0313808i \(0.990010\pi\)
\(588\) −15.2993 12.3924i −0.630931 0.511052i
\(589\) −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 \(-0.156436\pi\)
−0.471911 + 0.881646i \(0.656436\pi\)
\(594\) 5.12605 2.95953i 0.210324 0.121431i
\(595\) 11.0974 + 7.62811i 0.454951 + 0.312722i
\(596\) −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 \(-0.247874\pi\)
−0.252363 + 0.967633i \(0.581208\pi\)
\(602\) −59.1823 + 28.2238i −2.41209 + 1.15032i
\(603\) 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 \(-0.813277\pi\)
0.0629670 + 0.998016i \(0.479944\pi\)
\(608\) −7.18915 + 12.4520i −0.291559 + 0.504994i
\(609\) 7.69665 1.42598i 0.311884 0.0577835i
\(610\) 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
\(616\) −8.26445 9.67769i −0.332984 0.389925i
\(617\) 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 0.587777 0.809023i \(-0.300003\pi\)
−0.809023 + 0.587777i \(0.800003\pi\)
\(620\) −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
\(630\) 23.2290 + 8.22751i 0.925466 + 0.327792i
\(631\) −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
\(637\) −17.8339 + 17.8593i −0.706603 + 0.707610i
\(638\) 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 0.672118 0.740444i \(-0.265385\pi\)
0.211850 + 0.977302i \(0.432051\pi\)
\(644\) 37.6866 + 13.3482i 1.48506 + 0.525995i
\(645\) 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 \(-0.921820\pi\)
0.695566 + 0.718462i \(0.255154\pi\)
\(648\) −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
\(658\) 15.8757 + 18.5905i 0.618900 + 0.724733i
\(659\) 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 0.542692 0.839932i \(-0.317405\pi\)
0.889951 + 0.456057i \(0.150739\pi\)
\(662\) 21.7939i 0.847046i
\(663\) −4.29903 0.448190i −0.166960 0.0174062i
\(664\) 8.16876i 0.317009i
\(665\) 21.6767 4.01610i 0.840588 0.155738i
\(666\) −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
\(672\) 17.4960 8.34376i 0.674922 0.321868i
\(673\) 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 \(0.134446\pi\)
−0.912118 + 0.409928i \(0.865554\pi\)
\(678\) −1.79286 6.69105i −0.0688544 0.256968i
\(679\) −33.2906 22.8832i −1.27758 0.878176i
\(680\) 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
\(686\) 29.4660 + 27.9730i 1.12502 + 1.06802i
\(687\) 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 \(0.142781\pi\)
−0.563517 + 0.826104i \(0.690552\pi\)
\(692\) −22.4422 12.9570i −0.853124 0.492551i
\(693\) −6.44334 + 3.07281i −0.244762 + 0.116726i
\(694\) −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
\(700\) 17.6590 + 95.3140i 0.667449 + 3.60253i
\(701\) 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
\(707\) −3.23155 + 2.75964i −0.121535 + 0.103787i
\(708\) −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 \(0.216551\pi\)
0.156076 + 0.987745i \(0.450116\pi\)
\(720\) −5.14671 + 5.14671i −0.191807 + 0.191807i
\(721\) −36.1615 12.8081i −1.34672 0.476997i
\(722\) 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 \(-0.469085\pi\)
0.0969707 + 0.995287i \(0.469085\pi\)
\(728\) 5.68932 + 16.0266i 0.210860 + 0.593984i
\(729\) −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 \(-0.834460\pi\)
0.496932 + 0.867790i \(0.334460\pi\)
\(734\) 48.0070 + 12.8634i 1.77197 + 0.474798i
\(735\) −27.1492 12.0918i −1.00141 0.446012i
\(736\) −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
\(749\) −7.68650 + 6.56404i −0.280859 + 0.239845i
\(750\) −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
\(756\) 1.35564 + 7.31704i 0.0493043 + 0.266118i
\(757\) 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 \(0.231923\pi\)
−0.979059 + 0.203575i \(0.934744\pi\)
\(762\) 10.3400 + 10.3400i 0.374580 + 0.374580i
\(763\) −15.4497 32.3963i −0.559316 1.17283i
\(764\) 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 \(-0.152560\pi\)
−0.999018 + 0.0443040i \(0.985893\pi\)
\(770\) −54.7935 37.6637i −1.97462 1.35731i
\(771\) −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 \(-0.410697\pi\)
−0.240659 + 0.970610i \(0.577363\pi\)
\(774\) 23.9378 +