Properties

Label 273.2.cg.a.262.7
Level $273$
Weight $2$
Character 273.262
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
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.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 262.7
Character \(\chi\) \(=\) 273.262
Dual form 273.2.cg.a.124.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.255728 + 0.954388i) q^{2} -1.00000i q^{3} +(0.886590 - 0.511873i) q^{4} +(-0.244406 + 0.912136i) q^{5} +(0.954388 - 0.255728i) q^{6} +(2.46785 - 0.953787i) q^{7} +(2.11257 + 2.11257i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.255728 + 0.954388i) q^{2} -1.00000i q^{3} +(0.886590 - 0.511873i) q^{4} +(-0.244406 + 0.912136i) q^{5} +(0.954388 - 0.255728i) q^{6} +(2.46785 - 0.953787i) q^{7} +(2.11257 + 2.11257i) q^{8} -1.00000 q^{9} -0.933034 q^{10} +(-4.64956 - 4.64956i) q^{11} +(-0.511873 - 0.886590i) q^{12} +(3.43957 + 1.08136i) q^{13} +(1.54138 + 2.11138i) q^{14} +(0.912136 + 0.244406i) q^{15} +(-0.452226 + 0.783279i) q^{16} +(1.86677 + 3.23334i) q^{17} +(-0.255728 - 0.954388i) q^{18} +(0.889632 + 0.889632i) q^{19} +(0.250210 + 0.933796i) q^{20} +(-0.953787 - 2.46785i) q^{21} +(3.24847 - 5.62651i) q^{22} +(0.202140 + 0.116706i) q^{23} +(2.11257 - 2.11257i) q^{24} +(3.55787 + 2.05414i) q^{25} +(-0.152440 + 3.55922i) q^{26} +1.00000i q^{27} +(1.69975 - 2.10884i) q^{28} +(-2.32457 - 4.02628i) q^{29} +0.933034i q^{30} +(-7.35090 + 1.96967i) q^{31} +(4.90846 + 1.31522i) q^{32} +(-4.64956 + 4.64956i) q^{33} +(-2.60848 + 2.60848i) q^{34} +(0.266825 + 2.48413i) q^{35} +(-0.886590 + 0.511873i) q^{36} +(-4.85874 + 1.30189i) q^{37} +(-0.621551 + 1.07656i) q^{38} +(1.08136 - 3.43957i) q^{39} +(-2.44328 + 1.41063i) q^{40} +(-2.49056 + 9.29490i) q^{41} +(2.11138 - 1.54138i) q^{42} +(-10.4062 - 6.00801i) q^{43} +(-6.50224 - 1.74227i) q^{44} +(0.244406 - 0.912136i) q^{45} +(-0.0596897 + 0.222765i) q^{46} +(-2.10393 - 0.563747i) q^{47} +(0.783279 + 0.452226i) q^{48} +(5.18058 - 4.70761i) q^{49} +(-1.05060 + 3.92089i) q^{50} +(3.23334 - 1.86677i) q^{51} +(3.60301 - 0.801905i) q^{52} +(2.04084 - 3.53484i) q^{53} +(-0.954388 + 0.255728i) q^{54} +(5.37742 - 3.10465i) q^{55} +(7.22846 + 3.19857i) q^{56} +(0.889632 - 0.889632i) q^{57} +(3.24817 - 3.24817i) q^{58} +(-7.20872 - 1.93157i) q^{59} +(0.933796 - 0.250210i) q^{60} +2.45527i q^{61} +(-3.75966 - 6.51191i) q^{62} +(-2.46785 + 0.953787i) q^{63} +6.82982i q^{64} +(-1.82700 + 2.87307i) q^{65} +(-5.62651 - 3.24847i) q^{66} +(-7.19137 + 7.19137i) q^{67} +(3.31012 + 1.91110i) q^{68} +(0.116706 - 0.202140i) q^{69} +(-2.30259 + 0.889915i) q^{70} +(0.433350 + 1.61728i) q^{71} +(-2.11257 - 2.11257i) q^{72} +(-2.10388 - 7.85180i) q^{73} +(-2.48503 - 4.30419i) q^{74} +(2.05414 - 3.55787i) q^{75} +(1.24412 + 0.333360i) q^{76} +(-15.9091 - 7.03974i) q^{77} +(3.55922 + 0.152440i) q^{78} +(-0.942160 - 1.63187i) q^{79} +(-0.603930 - 0.603930i) q^{80} +1.00000 q^{81} -9.50785 q^{82} +(9.95023 + 9.95023i) q^{83} +(-2.10884 - 1.69975i) q^{84} +(-3.40550 + 0.912500i) q^{85} +(3.07283 - 11.4680i) q^{86} +(-4.02628 + 2.32457i) q^{87} -19.6451i q^{88} +(1.05604 + 3.94121i) q^{89} +0.933034 q^{90} +(9.51974 - 0.611992i) q^{91} +0.238954 q^{92} +(1.96967 + 7.35090i) q^{93} -2.15213i q^{94} +(-1.02890 + 0.594034i) q^{95} +(1.31522 - 4.90846i) q^{96} +(-2.41702 + 0.647638i) q^{97} +(5.81770 + 3.74042i) q^{98} +(4.64956 + 4.64956i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.255728 + 0.954388i 0.180827 + 0.674855i 0.995485 + 0.0949139i \(0.0302576\pi\)
−0.814659 + 0.579941i \(0.803076\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.886590 0.511873i 0.443295 0.255936i
\(5\) −0.244406 + 0.912136i −0.109302 + 0.407920i −0.998798 0.0490235i \(-0.984389\pi\)
0.889496 + 0.456943i \(0.151056\pi\)
\(6\) 0.954388 0.255728i 0.389627 0.104400i
\(7\) 2.46785 0.953787i 0.932760 0.360497i
\(8\) 2.11257 + 2.11257i 0.746907 + 0.746907i
\(9\) −1.00000 −0.333333
\(10\) −0.933034 −0.295051
\(11\) −4.64956 4.64956i −1.40190 1.40190i −0.794071 0.607824i \(-0.792042\pi\)
−0.607824 0.794071i \(-0.707958\pi\)
\(12\) −0.511873 0.886590i −0.147765 0.255936i
\(13\) 3.43957 + 1.08136i 0.953966 + 0.299914i
\(14\) 1.54138 + 2.11138i 0.411951 + 0.564290i
\(15\) 0.912136 + 0.244406i 0.235513 + 0.0631054i
\(16\) −0.452226 + 0.783279i −0.113057 + 0.195820i
\(17\) 1.86677 + 3.23334i 0.452758 + 0.784200i 0.998556 0.0537166i \(-0.0171068\pi\)
−0.545798 + 0.837917i \(0.683773\pi\)
\(18\) −0.255728 0.954388i −0.0602756 0.224952i
\(19\) 0.889632 + 0.889632i 0.204095 + 0.204095i 0.801752 0.597657i \(-0.203901\pi\)
−0.597657 + 0.801752i \(0.703901\pi\)
\(20\) 0.250210 + 0.933796i 0.0559486 + 0.208803i
\(21\) −0.953787 2.46785i −0.208133 0.538529i
\(22\) 3.24847 5.62651i 0.692576 1.19958i
\(23\) 0.202140 + 0.116706i 0.0421491 + 0.0243348i 0.520927 0.853602i \(-0.325587\pi\)
−0.478777 + 0.877936i \(0.658920\pi\)
\(24\) 2.11257 2.11257i 0.431227 0.431227i
\(25\) 3.55787 + 2.05414i 0.711574 + 0.410827i
\(26\) −0.152440 + 3.55922i −0.0298960 + 0.698021i
\(27\) 1.00000i 0.192450i
\(28\) 1.69975 2.10884i 0.321223 0.398534i
\(29\) −2.32457 4.02628i −0.431662 0.747661i 0.565354 0.824848i \(-0.308739\pi\)
−0.997017 + 0.0771873i \(0.975406\pi\)
\(30\) 0.933034i 0.170348i
\(31\) −7.35090 + 1.96967i −1.32026 + 0.353763i −0.849075 0.528272i \(-0.822840\pi\)
−0.471185 + 0.882034i \(0.656174\pi\)
\(32\) 4.90846 + 1.31522i 0.867701 + 0.232500i
\(33\) −4.64956 + 4.64956i −0.809385 + 0.809385i
\(34\) −2.60848 + 2.60848i −0.447350 + 0.447350i
\(35\) 0.266825 + 2.48413i 0.0451017 + 0.419894i
\(36\) −0.886590 + 0.511873i −0.147765 + 0.0853122i
\(37\) −4.85874 + 1.30189i −0.798771 + 0.214030i −0.635045 0.772476i \(-0.719018\pi\)
−0.163727 + 0.986506i \(0.552352\pi\)
\(38\) −0.621551 + 1.07656i −0.100829 + 0.174641i
\(39\) 1.08136 3.43957i 0.173156 0.550773i
\(40\) −2.44328 + 1.41063i −0.386317 + 0.223040i
\(41\) −2.49056 + 9.29490i −0.388960 + 1.45162i 0.442868 + 0.896587i \(0.353961\pi\)
−0.831828 + 0.555033i \(0.812706\pi\)
\(42\) 2.11138 1.54138i 0.325793 0.237840i
\(43\) −10.4062 6.00801i −1.58693 0.916213i −0.993809 0.111099i \(-0.964563\pi\)
−0.593119 0.805115i \(-0.702104\pi\)
\(44\) −6.50224 1.74227i −0.980250 0.262657i
\(45\) 0.244406 0.912136i 0.0364339 0.135973i
\(46\) −0.0596897 + 0.222765i −0.00880077 + 0.0328449i
\(47\) −2.10393 0.563747i −0.306890 0.0822309i 0.102087 0.994775i \(-0.467448\pi\)
−0.408977 + 0.912545i \(0.634115\pi\)
\(48\) 0.783279 + 0.452226i 0.113057 + 0.0652732i
\(49\) 5.18058 4.70761i 0.740083 0.672515i
\(50\) −1.05060 + 3.92089i −0.148577 + 0.554497i
\(51\) 3.23334 1.86677i 0.452758 0.261400i
\(52\) 3.60301 0.801905i 0.499647 0.111204i
\(53\) 2.04084 3.53484i 0.280331 0.485548i −0.691135 0.722726i \(-0.742889\pi\)
0.971466 + 0.237178i \(0.0762224\pi\)
\(54\) −0.954388 + 0.255728i −0.129876 + 0.0348001i
\(55\) 5.37742 3.10465i 0.725091 0.418631i
\(56\) 7.22846 + 3.19857i 0.965944 + 0.427427i
\(57\) 0.889632 0.889632i 0.117835 0.117835i
\(58\) 3.24817 3.24817i 0.426506 0.426506i
\(59\) −7.20872 1.93157i −0.938495 0.251469i −0.243022 0.970021i \(-0.578139\pi\)
−0.695473 + 0.718552i \(0.744805\pi\)
\(60\) 0.933796 0.250210i 0.120553 0.0323020i
\(61\) 2.45527i 0.314365i 0.987570 + 0.157183i \(0.0502412\pi\)
−0.987570 + 0.157183i \(0.949759\pi\)
\(62\) −3.75966 6.51191i −0.477477 0.827014i
\(63\) −2.46785 + 0.953787i −0.310920 + 0.120166i
\(64\) 6.82982i 0.853727i
\(65\) −1.82700 + 2.87307i −0.226611 + 0.356361i
\(66\) −5.62651 3.24847i −0.692576 0.399859i
\(67\) −7.19137 + 7.19137i −0.878566 + 0.878566i −0.993386 0.114820i \(-0.963371\pi\)
0.114820 + 0.993386i \(0.463371\pi\)
\(68\) 3.31012 + 1.91110i 0.401411 + 0.231755i
\(69\) 0.116706 0.202140i 0.0140497 0.0243348i
\(70\) −2.30259 + 0.889915i −0.275212 + 0.106365i
\(71\) 0.433350 + 1.61728i 0.0514292 + 0.191936i 0.986861 0.161570i \(-0.0516559\pi\)
−0.935432 + 0.353507i \(0.884989\pi\)
\(72\) −2.11257 2.11257i −0.248969 0.248969i
\(73\) −2.10388 7.85180i −0.246241 0.918984i −0.972756 0.231833i \(-0.925528\pi\)
0.726515 0.687151i \(-0.241139\pi\)
\(74\) −2.48503 4.30419i −0.288878 0.500352i
\(75\) 2.05414 3.55787i 0.237191 0.410827i
\(76\) 1.24412 + 0.333360i 0.142710 + 0.0382390i
\(77\) −15.9091 7.03974i −1.81301 0.802253i
\(78\) 3.55922 + 0.152440i 0.403003 + 0.0172605i
\(79\) −0.942160 1.63187i −0.106001 0.183600i 0.808146 0.588983i \(-0.200471\pi\)
−0.914147 + 0.405383i \(0.867138\pi\)
\(80\) −0.603930 0.603930i −0.0675214 0.0675214i
\(81\) 1.00000 0.111111
\(82\) −9.50785 −1.04997
\(83\) 9.95023 + 9.95023i 1.09218 + 1.09218i 0.995296 + 0.0968835i \(0.0308874\pi\)
0.0968835 + 0.995296i \(0.469113\pi\)
\(84\) −2.10884 1.69975i −0.230094 0.185458i
\(85\) −3.40550 + 0.912500i −0.369378 + 0.0989745i
\(86\) 3.07283 11.4680i 0.331352 1.23662i
\(87\) −4.02628 + 2.32457i −0.431662 + 0.249220i
\(88\) 19.6451i 2.09417i
\(89\) 1.05604 + 3.94121i 0.111940 + 0.417767i 0.999040 0.0438111i \(-0.0139500\pi\)
−0.887099 + 0.461578i \(0.847283\pi\)
\(90\) 0.933034 0.0983504
\(91\) 9.51974 0.611992i 0.997940 0.0641542i
\(92\) 0.238954 0.0249127
\(93\) 1.96967 + 7.35090i 0.204245 + 0.762253i
\(94\) 2.15213i 0.221976i
\(95\) −1.02890 + 0.594034i −0.105563 + 0.0609466i
\(96\) 1.31522 4.90846i 0.134234 0.500967i
\(97\) −2.41702 + 0.647638i −0.245411 + 0.0657576i −0.379428 0.925221i \(-0.623879\pi\)
0.134017 + 0.990979i \(0.457212\pi\)
\(98\) 5.81770 + 3.74042i 0.587677 + 0.377840i
\(99\) 4.64956 + 4.64956i 0.467299 + 0.467299i
\(100\) 4.20583 0.420583
\(101\) 2.40441 0.239248 0.119624 0.992819i \(-0.461831\pi\)
0.119624 + 0.992819i \(0.461831\pi\)
\(102\) 2.60848 + 2.60848i 0.258278 + 0.258278i
\(103\) −1.45067 2.51263i −0.142938 0.247577i 0.785663 0.618654i \(-0.212322\pi\)
−0.928602 + 0.371077i \(0.878988\pi\)
\(104\) 4.98191 + 9.55080i 0.488516 + 0.936533i
\(105\) 2.48413 0.266825i 0.242426 0.0260395i
\(106\) 3.89551 + 1.04380i 0.378366 + 0.101383i
\(107\) 5.54205 9.59911i 0.535770 0.927981i −0.463356 0.886172i \(-0.653355\pi\)
0.999126 0.0418082i \(-0.0133119\pi\)
\(108\) 0.511873 + 0.886590i 0.0492550 + 0.0853122i
\(109\) −1.87996 7.01612i −0.180068 0.672023i −0.995633 0.0933569i \(-0.970240\pi\)
0.815565 0.578666i \(-0.196426\pi\)
\(110\) 4.33820 + 4.33820i 0.413631 + 0.413631i
\(111\) 1.30189 + 4.85874i 0.123570 + 0.461171i
\(112\) −0.368946 + 2.36434i −0.0348621 + 0.223409i
\(113\) −0.604359 + 1.04678i −0.0568533 + 0.0984728i −0.893051 0.449955i \(-0.851440\pi\)
0.836198 + 0.548428i \(0.184773\pi\)
\(114\) 1.07656 + 0.621551i 0.100829 + 0.0582136i
\(115\) −0.155856 + 0.155856i −0.0145336 + 0.0145336i
\(116\) −4.12188 2.37977i −0.382707 0.220956i
\(117\) −3.43957 1.08136i −0.317989 0.0999715i
\(118\) 7.37387i 0.678820i
\(119\) 7.69083 + 6.19890i 0.705017 + 0.568253i
\(120\) 1.41063 + 2.44328i 0.128772 + 0.223040i
\(121\) 32.2369i 2.93062i
\(122\) −2.34328 + 0.627881i −0.212151 + 0.0568457i
\(123\) 9.29490 + 2.49056i 0.838093 + 0.224566i
\(124\) −5.50901 + 5.50901i −0.494724 + 0.494724i
\(125\) −6.08187 + 6.08187i −0.543979 + 0.543979i
\(126\) −1.54138 2.11138i −0.137317 0.188097i
\(127\) −8.44594 + 4.87627i −0.749456 + 0.432699i −0.825497 0.564406i \(-0.809105\pi\)
0.0760413 + 0.997105i \(0.475772\pi\)
\(128\) 3.29862 0.883862i 0.291559 0.0781231i
\(129\) −6.00801 + 10.4062i −0.528976 + 0.916213i
\(130\) −3.20924 1.00894i −0.281469 0.0884901i
\(131\) 14.7264 8.50232i 1.28666 0.742851i 0.308599 0.951192i \(-0.400140\pi\)
0.978056 + 0.208341i \(0.0668065\pi\)
\(132\) −1.74227 + 6.50224i −0.151645 + 0.565947i
\(133\) 3.04400 + 1.34696i 0.263948 + 0.116796i
\(134\) −8.70239 5.02433i −0.751772 0.434036i
\(135\) −0.912136 0.244406i −0.0785042 0.0210351i
\(136\) −2.88698 + 10.7744i −0.247556 + 0.923893i
\(137\) −1.24138 + 4.63290i −0.106058 + 0.395816i −0.998463 0.0554205i \(-0.982350\pi\)
0.892405 + 0.451236i \(0.149017\pi\)
\(138\) 0.222765 + 0.0596897i 0.0189630 + 0.00508113i
\(139\) 6.97771 + 4.02859i 0.591842 + 0.341700i 0.765826 0.643048i \(-0.222331\pi\)
−0.173984 + 0.984749i \(0.555664\pi\)
\(140\) 1.50812 + 2.06582i 0.127460 + 0.174594i
\(141\) −0.563747 + 2.10393i −0.0474760 + 0.177183i
\(142\) −1.43270 + 0.827168i −0.120229 + 0.0694144i
\(143\) −10.9647 21.0203i −0.916912 1.75781i
\(144\) 0.452226 0.783279i 0.0376855 0.0652732i
\(145\) 4.24065 1.13628i 0.352167 0.0943629i
\(146\) 6.95565 4.01584i 0.575653 0.332354i
\(147\) −4.70761 5.18058i −0.388277 0.427287i
\(148\) −3.64130 + 3.64130i −0.299313 + 0.299313i
\(149\) 10.8793 10.8793i 0.891265 0.891265i −0.103378 0.994642i \(-0.532965\pi\)
0.994642 + 0.103378i \(0.0329650\pi\)
\(150\) 3.92089 + 1.05060i 0.320139 + 0.0857810i
\(151\) 23.6057 6.32512i 1.92100 0.514731i 0.933111 0.359589i \(-0.117083\pi\)
0.987892 0.155142i \(-0.0495836\pi\)
\(152\) 3.75882i 0.304881i
\(153\) −1.86677 3.23334i −0.150919 0.261400i
\(154\) 2.65024 16.9837i 0.213563 1.36859i
\(155\) 7.18642i 0.577227i
\(156\) −0.801905 3.60301i −0.0642038 0.288472i
\(157\) 8.18219 + 4.72399i 0.653010 + 0.377015i 0.789608 0.613611i \(-0.210284\pi\)
−0.136599 + 0.990626i \(0.543617\pi\)
\(158\) 1.31650 1.31650i 0.104735 0.104735i
\(159\) −3.53484 2.04084i −0.280331 0.161849i
\(160\) −2.39932 + 4.15574i −0.189683 + 0.328540i
\(161\) 0.610164 + 0.0952137i 0.0480877 + 0.00750389i
\(162\) 0.255728 + 0.954388i 0.0200919 + 0.0749838i
\(163\) 13.3170 + 13.3170i 1.04306 + 1.04306i 0.999030 + 0.0440343i \(0.0140211\pi\)
0.0440343 + 0.999030i \(0.485979\pi\)
\(164\) 2.54970 + 9.51562i 0.199098 + 0.743045i
\(165\) −3.10465 5.37742i −0.241697 0.418631i
\(166\) −6.95183 + 12.0409i −0.539567 + 0.934557i
\(167\) −22.1608 5.93797i −1.71486 0.459494i −0.738249 0.674528i \(-0.764347\pi\)
−0.976606 + 0.215034i \(0.931014\pi\)
\(168\) 3.19857 7.22846i 0.246775 0.557688i
\(169\) 10.6613 + 7.43881i 0.820103 + 0.572216i
\(170\) −1.74176 3.01682i −0.133587 0.231379i
\(171\) −0.889632 0.889632i −0.0680318 0.0680318i
\(172\) −12.3014 −0.937970
\(173\) 8.58805 0.652937 0.326469 0.945208i \(-0.394141\pi\)
0.326469 + 0.945208i \(0.394141\pi\)
\(174\) −3.24817 3.24817i −0.246243 0.246243i
\(175\) 10.7395 + 1.67586i 0.811830 + 0.126683i
\(176\) 5.74456 1.53925i 0.433012 0.116025i
\(177\) −1.93157 + 7.20872i −0.145186 + 0.541840i
\(178\) −3.49138 + 2.01575i −0.261690 + 0.151087i
\(179\) 13.6367i 1.01926i −0.860394 0.509629i \(-0.829783\pi\)
0.860394 0.509629i \(-0.170217\pi\)
\(180\) −0.250210 0.933796i −0.0186495 0.0696010i
\(181\) −11.2556 −0.836622 −0.418311 0.908304i \(-0.637378\pi\)
−0.418311 + 0.908304i \(0.637378\pi\)
\(182\) 3.01854 + 8.92903i 0.223749 + 0.661864i
\(183\) 2.45527 0.181499
\(184\) 0.180487 + 0.673585i 0.0133057 + 0.0496574i
\(185\) 4.75002i 0.349229i
\(186\) −6.51191 + 3.75966i −0.477477 + 0.275671i
\(187\) 6.35395 23.7133i 0.464647 1.73409i
\(188\) −2.15389 + 0.577134i −0.157089 + 0.0420918i
\(189\) 0.953787 + 2.46785i 0.0693778 + 0.179510i
\(190\) −0.830056 0.830056i −0.0602186 0.0602186i
\(191\) 11.3967 0.824637 0.412319 0.911040i \(-0.364719\pi\)
0.412319 + 0.911040i \(0.364719\pi\)
\(192\) 6.82982 0.492900
\(193\) −1.75587 1.75587i −0.126390 0.126390i 0.641082 0.767472i \(-0.278486\pi\)
−0.767472 + 0.641082i \(0.778486\pi\)
\(194\) −1.23620 2.14115i −0.0887537 0.153726i
\(195\) 2.87307 + 1.82700i 0.205745 + 0.130834i
\(196\) 2.18336 6.82552i 0.155954 0.487537i
\(197\) −14.0826 3.77342i −1.00334 0.268845i −0.280498 0.959854i \(-0.590500\pi\)
−0.722846 + 0.691009i \(0.757166\pi\)
\(198\) −3.24847 + 5.62651i −0.230859 + 0.399859i
\(199\) 2.61480 + 4.52897i 0.185358 + 0.321050i 0.943697 0.330811i \(-0.107322\pi\)
−0.758339 + 0.651860i \(0.773989\pi\)
\(200\) 3.17674 + 11.8558i 0.224630 + 0.838330i
\(201\) 7.19137 + 7.19137i 0.507240 + 0.507240i
\(202\) 0.614874 + 2.29474i 0.0432624 + 0.161457i
\(203\) −9.57691 7.71911i −0.672167 0.541775i
\(204\) 1.91110 3.31012i 0.133804 0.231755i
\(205\) −7.86951 4.54346i −0.549630 0.317329i
\(206\) 2.02705 2.02705i 0.141231 0.141231i
\(207\) −0.202140 0.116706i −0.0140497 0.00811161i
\(208\) −2.40247 + 2.20513i −0.166581 + 0.152898i
\(209\) 8.27280i 0.572241i
\(210\) 0.889915 + 2.30259i 0.0614100 + 0.158894i
\(211\) 5.55565 + 9.62266i 0.382466 + 0.662451i 0.991414 0.130759i \(-0.0417414\pi\)
−0.608948 + 0.793210i \(0.708408\pi\)
\(212\) 4.17861i 0.286988i
\(213\) 1.61728 0.433350i 0.110814 0.0296926i
\(214\) 10.5785 + 2.83451i 0.723133 + 0.193763i
\(215\) 8.02346 8.02346i 0.547196 0.547196i
\(216\) −2.11257 + 2.11257i −0.143742 + 0.143742i
\(217\) −16.2623 + 11.8720i −1.10396 + 0.805926i
\(218\) 6.21535 3.58843i 0.420956 0.243039i
\(219\) −7.85180 + 2.10388i −0.530576 + 0.142167i
\(220\) 3.17838 5.50511i 0.214286 0.371154i
\(221\) 2.92450 + 13.1400i 0.196723 + 0.883889i
\(222\) −4.30419 + 2.48503i −0.288878 + 0.166784i
\(223\) 7.12168 26.5785i 0.476903 1.77983i −0.137137 0.990552i \(-0.543790\pi\)
0.614040 0.789275i \(-0.289543\pi\)
\(224\) 13.3678 1.43586i 0.893173 0.0959374i
\(225\) −3.55787 2.05414i −0.237191 0.136942i
\(226\) −1.15359 0.309102i −0.0767354 0.0205612i
\(227\) 3.03858 11.3401i 0.201677 0.752670i −0.788759 0.614702i \(-0.789276\pi\)
0.990437 0.137968i \(-0.0440571\pi\)
\(228\) 0.333360 1.24412i 0.0220773 0.0823937i
\(229\) −13.5399 3.62802i −0.894745 0.239746i −0.217987 0.975952i \(-0.569949\pi\)
−0.676758 + 0.736206i \(0.736616\pi\)
\(230\) −0.188604 0.108890i −0.0124362 0.00718002i
\(231\) −7.03974 + 15.9091i −0.463181 + 1.04674i
\(232\) 3.59498 13.4166i 0.236022 0.880845i
\(233\) 5.26788 3.04141i 0.345110 0.199249i −0.317419 0.948285i \(-0.602816\pi\)
0.662529 + 0.749036i \(0.269483\pi\)
\(234\) 0.152440 3.55922i 0.00996534 0.232674i
\(235\) 1.02843 1.78129i 0.0670872 0.116199i
\(236\) −7.37989 + 1.97744i −0.480390 + 0.128720i
\(237\) −1.63187 + 0.942160i −0.106001 + 0.0611999i
\(238\) −3.94940 + 8.92527i −0.256002 + 0.578539i
\(239\) −3.72605 + 3.72605i −0.241018 + 0.241018i −0.817271 0.576253i \(-0.804514\pi\)
0.576253 + 0.817271i \(0.304514\pi\)
\(240\) −0.603930 + 0.603930i −0.0389835 + 0.0389835i
\(241\) −25.9354 6.94938i −1.67065 0.447649i −0.705363 0.708846i \(-0.749216\pi\)
−0.965285 + 0.261197i \(0.915883\pi\)
\(242\) −30.7665 + 8.24386i −1.97775 + 0.529935i
\(243\) 1.00000i 0.0641500i
\(244\) 1.25679 + 2.17682i 0.0804576 + 0.139357i
\(245\) 3.02781 + 5.87597i 0.193440 + 0.375402i
\(246\) 9.50785i 0.606198i
\(247\) 2.09794 + 4.02196i 0.133489 + 0.255911i
\(248\) −19.6904 11.3682i −1.25034 0.721884i
\(249\) 9.95023 9.95023i 0.630570 0.630570i
\(250\) −7.35977 4.24916i −0.465473 0.268741i
\(251\) 6.48321 11.2292i 0.409217 0.708784i −0.585586 0.810611i \(-0.699135\pi\)
0.994802 + 0.101827i \(0.0324687\pi\)
\(252\) −1.69975 + 2.10884i −0.107074 + 0.132845i
\(253\) −0.397233 1.48249i −0.0249738 0.0932036i
\(254\) −6.81371 6.81371i −0.427530 0.427530i
\(255\) 0.912500 + 3.40550i 0.0571430 + 0.213261i
\(256\) 8.51691 + 14.7517i 0.532307 + 0.921983i
\(257\) 9.28663 16.0849i 0.579284 1.00335i −0.416278 0.909238i \(-0.636666\pi\)
0.995562 0.0941119i \(-0.0300011\pi\)
\(258\) −11.4680 3.07283i −0.713964 0.191306i
\(259\) −10.7489 + 7.84708i −0.667905 + 0.487594i
\(260\) −0.149151 + 3.48243i −0.00924996 + 0.215971i
\(261\) 2.32457 + 4.02628i 0.143887 + 0.249220i
\(262\) 11.8805 + 11.8805i 0.733978 + 0.733978i
\(263\) −8.66221 −0.534135 −0.267067 0.963678i \(-0.586055\pi\)
−0.267067 + 0.963678i \(0.586055\pi\)
\(264\) −19.6451 −1.20907
\(265\) 2.72546 + 2.72546i 0.167424 + 0.167424i
\(266\) −0.507089 + 3.24961i −0.0310916 + 0.199246i
\(267\) 3.94121 1.05604i 0.241198 0.0646288i
\(268\) −2.69473 + 10.0569i −0.164607 + 0.614321i
\(269\) −6.31308 + 3.64486i −0.384915 + 0.222231i −0.679955 0.733254i \(-0.738001\pi\)
0.295039 + 0.955485i \(0.404667\pi\)
\(270\) 0.933034i 0.0567826i
\(271\) 6.08174 + 22.6974i 0.369440 + 1.37877i 0.861301 + 0.508094i \(0.169650\pi\)
−0.491862 + 0.870673i \(0.663683\pi\)
\(272\) −3.37681 −0.204749
\(273\) −0.611992 9.51974i −0.0370394 0.576161i
\(274\) −4.73904 −0.286296
\(275\) −6.99170 26.0934i −0.421615 1.57349i
\(276\) 0.238954i 0.0143833i
\(277\) −2.12311 + 1.22578i −0.127565 + 0.0736499i −0.562425 0.826848i \(-0.690131\pi\)
0.434859 + 0.900498i \(0.356798\pi\)
\(278\) −2.06044 + 7.68967i −0.123577 + 0.461196i
\(279\) 7.35090 1.96967i 0.440087 0.117921i
\(280\) −4.68422 + 5.81159i −0.279935 + 0.347309i
\(281\) −9.26224 9.26224i −0.552539 0.552539i 0.374634 0.927173i \(-0.377768\pi\)
−0.927173 + 0.374634i \(0.877768\pi\)
\(282\) −2.15213 −0.128158
\(283\) 0.575760 0.0342254 0.0171127 0.999854i \(-0.494553\pi\)
0.0171127 + 0.999854i \(0.494553\pi\)
\(284\) 1.21205 + 1.21205i 0.0719218 + 0.0719218i
\(285\) 0.594034 + 1.02890i 0.0351875 + 0.0609466i
\(286\) 17.2576 15.8400i 1.02046 0.936642i
\(287\) 2.71902 + 25.3139i 0.160498 + 1.49423i
\(288\) −4.90846 1.31522i −0.289234 0.0774999i
\(289\) 1.53034 2.65063i 0.0900201 0.155919i
\(290\) 2.16890 + 3.75665i 0.127362 + 0.220598i
\(291\) 0.647638 + 2.41702i 0.0379652 + 0.141688i
\(292\) −5.88441 5.88441i −0.344359 0.344359i
\(293\) 4.53613 + 16.9291i 0.265004 + 0.989007i 0.962248 + 0.272174i \(0.0877425\pi\)
−0.697245 + 0.716833i \(0.745591\pi\)
\(294\) 3.74042 5.81770i 0.218146 0.339295i
\(295\) 3.52371 6.10324i 0.205158 0.355345i
\(296\) −13.0148 7.51409i −0.756469 0.436748i
\(297\) 4.64956 4.64956i 0.269795 0.269795i
\(298\) 13.1652 + 7.60092i 0.762638 + 0.440310i
\(299\) 0.569076 + 0.620004i 0.0329105 + 0.0358557i
\(300\) 4.20583i 0.242824i
\(301\) −31.4113 4.90161i −1.81052 0.282524i
\(302\) 12.0732 + 20.9115i 0.694737 + 1.20332i
\(303\) 2.40441i 0.138130i
\(304\) −1.09914 + 0.294515i −0.0630402 + 0.0168916i
\(305\) −2.23954 0.600084i −0.128236 0.0343607i
\(306\) 2.60848 2.60848i 0.149117 0.149117i
\(307\) 10.3888 10.3888i 0.592923 0.592923i −0.345497 0.938420i \(-0.612290\pi\)
0.938420 + 0.345497i \(0.112290\pi\)
\(308\) −17.7083 + 1.90209i −1.00903 + 0.108381i
\(309\) −2.51263 + 1.45067i −0.142938 + 0.0825256i
\(310\) 6.85864 1.83777i 0.389544 0.104378i
\(311\) −6.38744 + 11.0634i −0.362199 + 0.627346i −0.988322 0.152377i \(-0.951307\pi\)
0.626124 + 0.779724i \(0.284640\pi\)
\(312\) 9.55080 4.98191i 0.540707 0.282045i
\(313\) 12.3070 7.10546i 0.695633 0.401624i −0.110086 0.993922i \(-0.535112\pi\)
0.805719 + 0.592298i \(0.201779\pi\)
\(314\) −2.41611 + 9.01704i −0.136349 + 0.508861i
\(315\) −0.266825 2.48413i −0.0150339 0.139965i
\(316\) −1.67062 0.964532i −0.0939797 0.0542592i
\(317\) 18.0701 + 4.84186i 1.01492 + 0.271946i 0.727682 0.685914i \(-0.240598\pi\)
0.287234 + 0.957860i \(0.407264\pi\)
\(318\) 1.04380 3.89551i 0.0585333 0.218449i
\(319\) −7.91218 + 29.5287i −0.442997 + 1.65329i
\(320\) −6.22973 1.66925i −0.348252 0.0933139i
\(321\) −9.59911 5.54205i −0.535770 0.309327i
\(322\) 0.0651650 + 0.606683i 0.00363150 + 0.0338091i
\(323\) −1.21574 + 4.53722i −0.0676458 + 0.252458i
\(324\) 0.886590 0.511873i 0.0492550 0.0284374i
\(325\) 10.0163 + 10.9127i 0.555604 + 0.605326i
\(326\) −9.30403 + 16.1151i −0.515303 + 0.892531i
\(327\) −7.01612 + 1.87996i −0.387992 + 0.103962i
\(328\) −24.8976 + 14.3747i −1.37474 + 0.793708i
\(329\) −5.72989 + 0.615458i −0.315899 + 0.0339313i
\(330\) 4.33820 4.33820i 0.238810 0.238810i
\(331\) −2.79186 + 2.79186i −0.153454 + 0.153454i −0.779659 0.626204i \(-0.784608\pi\)
0.626204 + 0.779659i \(0.284608\pi\)
\(332\) 13.9150 + 3.72852i 0.763686 + 0.204629i
\(333\) 4.85874 1.30189i 0.266257 0.0713434i
\(334\) 22.6685i 1.24037i
\(335\) −4.80190 8.31713i −0.262356 0.454413i
\(336\) 2.36434 + 0.368946i 0.128985 + 0.0201277i
\(337\) 15.1443i 0.824962i −0.910966 0.412481i \(-0.864662\pi\)
0.910966 0.412481i \(-0.135338\pi\)
\(338\) −4.37312 + 12.0774i −0.237866 + 0.656922i
\(339\) 1.04678 + 0.604359i 0.0568533 + 0.0328243i
\(340\) −2.55220 + 2.55220i −0.138412 + 0.138412i
\(341\) 43.3366 + 25.0204i 2.34681 + 1.35493i
\(342\) 0.621551 1.07656i 0.0336096 0.0582136i
\(343\) 8.29486 16.5588i 0.447880 0.894094i
\(344\) −9.29146 34.6762i −0.500962 1.86961i
\(345\) 0.155856 + 0.155856i 0.00839100 + 0.00839100i
\(346\) 2.19620 + 8.19633i 0.118069 + 0.440638i
\(347\) −3.39724 5.88420i −0.182374 0.315880i 0.760315 0.649555i \(-0.225045\pi\)
−0.942688 + 0.333675i \(0.891711\pi\)
\(348\) −2.37977 + 4.12188i −0.127569 + 0.220956i
\(349\) −0.378000 0.101285i −0.0202339 0.00542165i 0.248688 0.968584i \(-0.420001\pi\)
−0.268922 + 0.963162i \(0.586667\pi\)
\(350\) 1.14697 + 10.6782i 0.0613081 + 0.570775i
\(351\) −1.08136 + 3.43957i −0.0577185 + 0.183591i
\(352\) −16.7070 28.9374i −0.890486 1.54237i
\(353\) 14.1200 + 14.1200i 0.751534 + 0.751534i 0.974765 0.223232i \(-0.0716606\pi\)
−0.223232 + 0.974765i \(0.571661\pi\)
\(354\) −7.37387 −0.391917
\(355\) −1.58110 −0.0839159
\(356\) 2.95368 + 2.95368i 0.156545 + 0.156545i
\(357\) 6.19890 7.69083i 0.328081 0.407042i
\(358\) 13.0147 3.48729i 0.687851 0.184309i
\(359\) −7.17397 + 26.7736i −0.378628 + 1.41306i 0.469344 + 0.883016i \(0.344491\pi\)
−0.847971 + 0.530042i \(0.822176\pi\)
\(360\) 2.44328 1.41063i 0.128772 0.0743467i
\(361\) 17.4171i 0.916690i
\(362\) −2.87837 10.7422i −0.151284 0.564598i
\(363\) 32.2369 1.69200
\(364\) 8.12685 5.41548i 0.425962 0.283848i
\(365\) 7.67612 0.401786
\(366\) 0.627881 + 2.34328i 0.0328199 + 0.122485i
\(367\) 6.67905i 0.348644i −0.984689 0.174322i \(-0.944227\pi\)
0.984689 0.174322i \(-0.0557733\pi\)
\(368\) −0.182826 + 0.105555i −0.00953047 + 0.00550242i
\(369\) 2.49056 9.29490i 0.129653 0.483873i
\(370\) 4.53337 1.21471i 0.235678 0.0631499i
\(371\) 1.66501 10.6700i 0.0864430 0.553958i
\(372\) 5.50901 + 5.50901i 0.285629 + 0.285629i
\(373\) 1.00610 0.0520939 0.0260469 0.999661i \(-0.491708\pi\)
0.0260469 + 0.999661i \(0.491708\pi\)
\(374\) 24.2566 1.25428
\(375\) 6.08187 + 6.08187i 0.314066 + 0.314066i
\(376\) −3.25375 5.63567i −0.167800 0.290637i
\(377\) −3.64170 16.3624i −0.187557 0.842705i
\(378\) −2.11138 + 1.54138i −0.108598 + 0.0792801i
\(379\) −20.6414 5.53086i −1.06028 0.284101i −0.313786 0.949494i \(-0.601597\pi\)
−0.746493 + 0.665393i \(0.768264\pi\)
\(380\) −0.608140 + 1.05333i −0.0311969 + 0.0540346i
\(381\) 4.87627 + 8.44594i 0.249819 + 0.432699i
\(382\) 2.91445 + 10.8769i 0.149116 + 0.556510i
\(383\) 16.1566 + 16.1566i 0.825562 + 0.825562i 0.986899 0.161338i \(-0.0515808\pi\)
−0.161338 + 0.986899i \(0.551581\pi\)
\(384\) −0.883862 3.29862i −0.0451044 0.168332i
\(385\) 10.3095 12.7907i 0.525420 0.651876i
\(386\) 1.22676 2.12480i 0.0624402 0.108150i
\(387\) 10.4062 + 6.00801i 0.528976 + 0.305404i
\(388\) −1.81139 + 1.81139i −0.0919596 + 0.0919596i
\(389\) −17.3058 9.99148i −0.877437 0.506588i −0.00762436 0.999971i \(-0.502427\pi\)
−0.869812 + 0.493383i \(0.835760\pi\)
\(390\) −1.00894 + 3.20924i −0.0510898 + 0.162506i
\(391\) 0.871451i 0.0440712i
\(392\) 20.8895 + 0.999194i 1.05508 + 0.0504669i
\(393\) −8.50232 14.7264i −0.428885 0.742851i
\(394\) 14.4052i 0.725726i
\(395\) 1.71876 0.460539i 0.0864800 0.0231723i
\(396\) 6.50224 + 1.74227i 0.326750 + 0.0875524i
\(397\) 17.6864 17.6864i 0.887654 0.887654i −0.106643 0.994297i \(-0.534010\pi\)
0.994297 + 0.106643i \(0.0340103\pi\)
\(398\) −3.65372 + 3.65372i −0.183144 + 0.183144i
\(399\) 1.34696 3.04400i 0.0674323 0.152390i
\(400\) −3.21792 + 1.85787i −0.160896 + 0.0928934i
\(401\) −1.35838 + 0.363977i −0.0678343 + 0.0181761i −0.292577 0.956242i \(-0.594513\pi\)
0.224742 + 0.974418i \(0.427846\pi\)
\(402\) −5.02433 + 8.70239i −0.250591 + 0.434036i
\(403\) −27.4139 1.17413i −1.36558 0.0584874i
\(404\) 2.13173 1.23075i 0.106057 0.0612322i
\(405\) −0.244406 + 0.912136i −0.0121446 + 0.0453244i
\(406\) 4.91795 11.1141i 0.244074 0.551582i
\(407\) 28.6442 + 16.5378i 1.41984 + 0.819746i
\(408\) 10.7744 + 2.88698i 0.533410 + 0.142927i
\(409\) −0.717754 + 2.67870i −0.0354907 + 0.132453i −0.981398 0.191984i \(-0.938508\pi\)
0.945907 + 0.324436i \(0.105175\pi\)
\(410\) 2.32378 8.67246i 0.114763 0.428302i
\(411\) 4.63290 + 1.24138i 0.228524 + 0.0612329i
\(412\) −2.57229 1.48511i −0.126728 0.0731663i
\(413\) −19.6323 + 2.10875i −0.966044 + 0.103765i
\(414\) 0.0596897 0.222765i 0.00293359 0.0109483i
\(415\) −11.5079 + 6.64407i −0.564899 + 0.326144i
\(416\) 15.4608 + 9.83158i 0.758027 + 0.482033i
\(417\) 4.02859 6.97771i 0.197281 0.341700i
\(418\) 7.89546 2.11558i 0.386180 0.103477i
\(419\) −16.7456 + 9.66807i −0.818075 + 0.472316i −0.849752 0.527182i \(-0.823249\pi\)
0.0316770 + 0.999498i \(0.489915\pi\)
\(420\) 2.06582 1.50812i 0.100802 0.0735889i
\(421\) 2.40433 2.40433i 0.117180 0.117180i −0.646085 0.763265i \(-0.723595\pi\)
0.763265 + 0.646085i \(0.223595\pi\)
\(422\) −7.76303 + 7.76303i −0.377898 + 0.377898i
\(423\) 2.10393 + 0.563747i 0.102297 + 0.0274103i
\(424\) 11.7790 3.15618i 0.572041 0.153278i
\(425\) 15.3384i 0.744022i
\(426\) 0.827168 + 1.43270i 0.0400764 + 0.0694144i
\(427\) 2.34181 + 6.05925i 0.113328 + 0.293228i
\(428\) 11.3473i 0.548492i
\(429\) −21.0203 + 10.9647i −1.01487 + 0.529380i
\(430\) 9.70932 + 5.60568i 0.468225 + 0.270330i
\(431\) −0.490482 + 0.490482i −0.0236257 + 0.0236257i −0.718821 0.695195i \(-0.755318\pi\)
0.695195 + 0.718821i \(0.255318\pi\)
\(432\) −0.783279 0.452226i −0.0376855 0.0217577i
\(433\) −10.5144 + 18.2115i −0.505290 + 0.875188i 0.494691 + 0.869069i \(0.335281\pi\)
−0.999981 + 0.00611893i \(0.998052\pi\)
\(434\) −15.4892 12.4845i −0.743508 0.599277i
\(435\) −1.13628 4.24065i −0.0544804 0.203324i
\(436\) −5.25812 5.25812i −0.251818 0.251818i
\(437\) 0.0760052 + 0.283655i 0.00363582 + 0.0135691i
\(438\) −4.01584 6.95565i −0.191884 0.332354i
\(439\) −11.4119 + 19.7659i −0.544659 + 0.943376i 0.453970 + 0.891017i \(0.350007\pi\)
−0.998628 + 0.0523593i \(0.983326\pi\)
\(440\) 17.9190 + 4.80138i 0.854255 + 0.228897i
\(441\) −5.18058 + 4.70761i −0.246694 + 0.224172i
\(442\) −11.7927 + 6.15136i −0.560924 + 0.292590i
\(443\) −8.38733 14.5273i −0.398494 0.690212i 0.595046 0.803691i \(-0.297134\pi\)
−0.993540 + 0.113480i \(0.963800\pi\)
\(444\) 3.64130 + 3.64130i 0.172809 + 0.172809i
\(445\) −3.85302 −0.182651
\(446\) 27.1874 1.28736
\(447\) −10.8793 10.8793i −0.514572 0.514572i
\(448\) 6.51419 + 16.8550i 0.307766 + 0.796323i
\(449\) 14.8030 3.96646i 0.698599 0.187189i 0.107996 0.994151i \(-0.465557\pi\)
0.590603 + 0.806962i \(0.298890\pi\)
\(450\) 1.05060 3.92089i 0.0495257 0.184832i
\(451\) 54.7972 31.6372i 2.58030 1.48974i
\(452\) 1.23742i 0.0582033i
\(453\) −6.32512 23.6057i −0.297180 1.10909i
\(454\) 11.5999 0.544412
\(455\) −1.76846 + 8.83288i −0.0829069 + 0.414092i
\(456\) 3.75882 0.176023
\(457\) −3.60447 13.4521i −0.168610 0.629261i −0.997552 0.0699267i \(-0.977723\pi\)
0.828942 0.559334i \(-0.188943\pi\)
\(458\) 13.8501i 0.647175i
\(459\) −3.23334 + 1.86677i −0.150919 + 0.0871333i
\(460\) −0.0584018 + 0.217959i −0.00272300 + 0.0101624i
\(461\) −15.2937 + 4.09793i −0.712298 + 0.190860i −0.596733 0.802440i \(-0.703535\pi\)
−0.115565 + 0.993300i \(0.536868\pi\)
\(462\) −16.9837 2.65024i −0.790155 0.123301i
\(463\) 26.2699 + 26.2699i 1.22086 + 1.22086i 0.967325 + 0.253538i \(0.0815943\pi\)
0.253538 + 0.967325i \(0.418406\pi\)
\(464\) 4.20493 0.195209
\(465\) −7.18642 −0.333262
\(466\) 4.24983 + 4.24983i 0.196869 + 0.196869i
\(467\) −16.6813 28.8928i −0.771917 1.33700i −0.936511 0.350637i \(-0.885965\pi\)
0.164595 0.986361i \(-0.447368\pi\)
\(468\) −3.60301 + 0.801905i −0.166549 + 0.0370681i
\(469\) −10.8882 + 24.6063i −0.502771 + 1.13621i
\(470\) 1.96304 + 0.525995i 0.0905483 + 0.0242623i
\(471\) 4.72399 8.18219i 0.217670 0.377015i
\(472\) −11.1484 19.3095i −0.513145 0.888793i
\(473\) 20.4496 + 76.3188i 0.940272 + 3.50914i
\(474\) −1.31650 1.31650i −0.0604689 0.0604689i
\(475\) 1.33777 + 4.99262i 0.0613810 + 0.229077i
\(476\) 9.99166 + 1.55916i 0.457967 + 0.0714639i
\(477\) −2.04084 + 3.53484i −0.0934437 + 0.161849i
\(478\) −4.50896 2.60325i −0.206235 0.119070i
\(479\) 3.75854 3.75854i 0.171732 0.171732i −0.616008 0.787740i \(-0.711251\pi\)
0.787740 + 0.616008i \(0.211251\pi\)
\(480\) 4.15574 + 2.39932i 0.189683 + 0.109513i
\(481\) −18.1198 0.776065i −0.826192 0.0353855i
\(482\) 26.5296i 1.20839i
\(483\) 0.0952137 0.610164i 0.00433237 0.0277634i
\(484\) 16.5012 + 28.5809i 0.750054 + 1.29913i
\(485\) 2.36294i 0.107295i
\(486\) 0.954388 0.255728i 0.0432919 0.0116000i
\(487\) −13.4339 3.59961i −0.608749 0.163114i −0.0587410 0.998273i \(-0.518709\pi\)
−0.550008 + 0.835160i \(0.685375\pi\)
\(488\) −5.18694 + 5.18694i −0.234802 + 0.234802i
\(489\) 13.3170 13.3170i 0.602213 0.602213i
\(490\) −4.83366 + 4.39236i −0.218362 + 0.198426i
\(491\) −6.73956 + 3.89109i −0.304152 + 0.175602i −0.644307 0.764767i \(-0.722854\pi\)
0.340155 + 0.940370i \(0.389521\pi\)
\(492\) 9.51562 2.54970i 0.428997 0.114949i
\(493\) 8.67888 15.0323i 0.390877 0.677019i
\(494\) −3.30201 + 3.03078i −0.148565 + 0.136361i
\(495\) −5.37742 + 3.10465i −0.241697 + 0.139544i
\(496\) 1.78147 6.64854i 0.0799904 0.298528i
\(497\) 2.61199 + 3.57789i 0.117164 + 0.160490i
\(498\) 12.0409 + 6.95183i 0.539567 + 0.311519i
\(499\) 12.4657 + 3.34017i 0.558041 + 0.149527i 0.526806 0.849985i \(-0.323389\pi\)
0.0312347 + 0.999512i \(0.490056\pi\)
\(500\) −2.27898 + 8.50527i −0.101919 + 0.380367i
\(501\) −5.93797 + 22.1608i −0.265289 + 0.990072i
\(502\) 12.3750 + 3.31587i 0.552323 + 0.147995i
\(503\) 0.631010 + 0.364314i 0.0281354 + 0.0162440i 0.514002 0.857789i \(-0.328162\pi\)
−0.485866 + 0.874033i \(0.661496\pi\)
\(504\) −7.22846 3.19857i −0.321981 0.142476i
\(505\) −0.587653 + 2.19315i −0.0261502 + 0.0975939i
\(506\) 1.31329 0.758229i 0.0583829 0.0337074i
\(507\) 7.43881 10.6613i 0.330369 0.473487i
\(508\) −4.99206 + 8.64650i −0.221487 + 0.383626i
\(509\) −14.4291 + 3.86626i −0.639557 + 0.171369i −0.564003 0.825773i \(-0.690739\pi\)
−0.0755542 + 0.997142i \(0.524073\pi\)
\(510\) −3.01682 + 1.74176i −0.133587 + 0.0771264i
\(511\) −12.6810 17.3704i −0.560975 0.768422i
\(512\) −7.07136 + 7.07136i −0.312513 + 0.312513i
\(513\) −0.889632 + 0.889632i −0.0392782 + 0.0392782i
\(514\) 17.7261 + 4.74970i 0.781865 + 0.209500i
\(515\) 2.64641 0.709104i 0.116615 0.0312469i
\(516\) 12.3014i 0.541537i
\(517\) 7.16119 + 12.4035i 0.314949 + 0.545507i
\(518\) −10.2380 8.25192i −0.449830 0.362569i
\(519\) 8.58805i 0.376973i
\(520\) −9.92924 + 2.20990i −0.435426 + 0.0969107i
\(521\) 26.7816 + 15.4624i 1.17332 + 0.677419i 0.954461 0.298336i \(-0.0964317\pi\)
0.218864 + 0.975755i \(0.429765\pi\)
\(522\) −3.24817 + 3.24817i −0.142169 + 0.142169i
\(523\) −17.2017 9.93138i −0.752176 0.434269i 0.0743038 0.997236i \(-0.476327\pi\)
−0.826479 + 0.562967i \(0.809660\pi\)
\(524\) 8.70421 15.0761i 0.380245 0.658604i
\(525\) 1.67586 10.7395i 0.0731404 0.468710i
\(526\) −2.21517 8.26711i −0.0965858 0.360463i
\(527\) −20.0910 20.0910i −0.875179 0.875179i
\(528\) −1.53925 5.74456i −0.0669872 0.250000i
\(529\) −11.4728 19.8714i −0.498816 0.863974i
\(530\) −1.90417 + 3.29813i −0.0827120 + 0.143261i
\(531\) 7.20872 + 1.93157i 0.312832 + 0.0838230i
\(532\) 3.38825 0.363939i 0.146899 0.0157787i
\(533\) −18.6176 + 29.2773i −0.806417 + 1.26814i
\(534\) 2.01575 + 3.49138i 0.0872301 + 0.151087i
\(535\) 7.40118 + 7.40118i 0.319981 + 0.319981i
\(536\) −30.3846 −1.31241
\(537\) −13.6367 −0.588469
\(538\) −5.09304 5.09304i −0.219577 0.219577i
\(539\) −45.9758 2.19913i −1.98032 0.0947231i
\(540\) −0.933796 + 0.250210i −0.0401842 + 0.0107673i
\(541\) −2.57018 + 9.59205i −0.110501 + 0.412395i −0.998911 0.0466559i \(-0.985144\pi\)
0.888410 + 0.459050i \(0.151810\pi\)
\(542\) −20.1068 + 11.6087i −0.863663 + 0.498636i
\(543\) 11.2556i 0.483024i
\(544\) 4.91042 + 18.3259i 0.210532 + 0.785717i
\(545\) 6.85914 0.293813
\(546\) 8.92903 3.01854i 0.382127 0.129182i
\(547\) −5.37266 −0.229718 −0.114859 0.993382i \(-0.536642\pi\)
−0.114859 + 0.993382i \(0.536642\pi\)
\(548\) 1.27086 + 4.74291i 0.0542885 + 0.202607i
\(549\) 2.45527i 0.104788i
\(550\) 23.1152 13.3456i 0.985637 0.569058i
\(551\) 1.51389 5.64992i 0.0644939 0.240694i
\(552\) 0.673585 0.180487i 0.0286697 0.00768202i
\(553\) −3.88157 3.12859i −0.165061 0.133041i
\(554\) −1.71281 1.71281i −0.0727702 0.0727702i
\(555\) −4.75002 −0.201627
\(556\) 8.24850 0.349814
\(557\) 9.08545 + 9.08545i 0.384963 + 0.384963i 0.872886 0.487923i \(-0.162245\pi\)
−0.487923 + 0.872886i \(0.662245\pi\)
\(558\) 3.75966 + 6.51191i 0.159159 + 0.275671i
\(559\) −29.2960 31.9178i −1.23909 1.34998i
\(560\) −2.06643 0.914389i −0.0873226 0.0386400i
\(561\) −23.7133 6.35395i −1.00118 0.268264i
\(562\) 6.47117 11.2084i 0.272970 0.472797i
\(563\) 3.15942 + 5.47228i 0.133154 + 0.230629i 0.924891 0.380233i \(-0.124156\pi\)
−0.791737 + 0.610862i \(0.790823\pi\)
\(564\) 0.577134 + 2.15389i 0.0243017 + 0.0906952i
\(565\) −0.807097 0.807097i −0.0339548 0.0339548i
\(566\) 0.147238 + 0.549498i 0.00618886 + 0.0230971i
\(567\) 2.46785 0.953787i 0.103640 0.0400553i
\(568\) −2.50115 + 4.33211i −0.104946 + 0.181771i
\(569\) 4.42917 + 2.55718i 0.185680 + 0.107203i 0.589959 0.807433i \(-0.299144\pi\)
−0.404278 + 0.914636i \(0.632477\pi\)
\(570\) −0.830056 + 0.830056i −0.0347672 + 0.0347672i
\(571\) 24.2776 + 14.0167i 1.01599 + 0.586580i 0.912939 0.408097i \(-0.133807\pi\)
0.103047 + 0.994676i \(0.467141\pi\)
\(572\) −20.4809 13.0239i −0.856350 0.544557i
\(573\) 11.3967i 0.476105i
\(574\) −23.4640 + 9.06846i −0.979367 + 0.378510i
\(575\) 0.479459 + 0.830447i 0.0199948 + 0.0346320i
\(576\) 6.82982i 0.284576i
\(577\) −19.3359 + 5.18104i −0.804964 + 0.215689i −0.637762 0.770233i \(-0.720140\pi\)
−0.167202 + 0.985923i \(0.553473\pi\)
\(578\) 2.92108 + 0.782701i 0.121501 + 0.0325561i
\(579\) −1.75587 + 1.75587i −0.0729713 + 0.0729713i
\(580\) 3.17809 3.17809i 0.131963 0.131963i
\(581\) 34.0461 + 15.0653i 1.41247 + 0.625014i
\(582\) −2.14115 + 1.23620i −0.0887537 + 0.0512420i
\(583\) −25.9245 + 6.94644i −1.07368 + 0.287692i
\(584\) 12.1429 21.0321i 0.502477 0.870315i
\(585\) 1.82700 2.87307i 0.0755371 0.118787i
\(586\) −14.9969 + 8.65846i −0.619516 + 0.357678i
\(587\) −1.06109 + 3.96003i −0.0437957 + 0.163448i −0.984360 0.176167i \(-0.943630\pi\)
0.940565 + 0.339615i \(0.110297\pi\)
\(588\) −6.82552 2.18336i −0.281480 0.0900401i
\(589\) −8.29187 4.78731i −0.341661 0.197258i
\(590\) 6.72598 + 1.80222i 0.276904 + 0.0741962i
\(591\) −3.77342 + 14.0826i −0.155218 + 0.579281i
\(592\) 1.17750 4.39450i 0.0483950 0.180613i
\(593\) −16.7775 4.49553i −0.688971 0.184609i −0.102686 0.994714i \(-0.532744\pi\)
−0.586285 + 0.810105i \(0.699410\pi\)
\(594\) 5.62651 + 3.24847i 0.230859 + 0.133286i
\(595\) −7.53393 + 5.50003i −0.308861 + 0.225479i
\(596\) 4.07665 15.2143i 0.166986 0.623200i
\(597\) 4.52897 2.61480i 0.185358 0.107017i
\(598\) −0.446196 + 0.701671i −0.0182463 + 0.0286935i
\(599\) −7.18140 + 12.4386i −0.293424 + 0.508226i −0.974617 0.223878i \(-0.928128\pi\)
0.681193 + 0.732104i \(0.261461\pi\)
\(600\) 11.8558 3.17674i 0.484010 0.129690i
\(601\) −7.65598 + 4.42018i −0.312294 + 0.180303i −0.647952 0.761681i \(-0.724374\pi\)
0.335659 + 0.941984i \(0.391041\pi\)
\(602\) −3.35470 31.2320i −0.136727 1.27292i
\(603\) 7.19137 7.19137i 0.292855 0.292855i
\(604\) 17.6909 17.6909i 0.719833 0.719833i
\(605\) −29.4044 7.87889i −1.19546 0.320322i
\(606\) 2.29474 0.614874i 0.0932175 0.0249776i
\(607\) 27.1962i 1.10386i 0.833890 + 0.551930i \(0.186109\pi\)
−0.833890 + 0.551930i \(0.813891\pi\)
\(608\) 3.19666 + 5.53678i 0.129642 + 0.224546i
\(609\) −7.71911 + 9.57691i −0.312794 + 0.388076i
\(610\) 2.29085i 0.0927539i
\(611\) −6.62702 4.21415i −0.268100 0.170486i
\(612\) −3.31012 1.91110i −0.133804 0.0772516i
\(613\) 31.3428 31.3428i 1.26593 1.26593i 0.317751 0.948174i \(-0.397072\pi\)
0.948174 0.317751i \(-0.102928\pi\)
\(614\) 12.5717 + 7.25828i 0.507353 + 0.292920i
\(615\) −4.54346 + 7.86951i −0.183210 + 0.317329i
\(616\) −18.7372 48.4811i −0.754944 1.95336i
\(617\) −7.15534 26.7041i −0.288063 1.07507i −0.946572 0.322493i \(-0.895479\pi\)
0.658509 0.752573i \(-0.271188\pi\)
\(618\) −2.02705 2.02705i −0.0815398 0.0815398i
\(619\) −10.1905 38.0315i −0.409591 1.52861i −0.795429 0.606047i \(-0.792754\pi\)
0.385838 0.922567i \(-0.373912\pi\)
\(620\) −3.67853 6.37141i −0.147734 0.255882i
\(621\) −0.116706 + 0.202140i −0.00468324 + 0.00811161i
\(622\) −12.1922 3.26689i −0.488863 0.130990i
\(623\) 6.36523 + 8.71908i 0.255018 + 0.349322i
\(624\) 2.20513 + 2.40247i 0.0882757 + 0.0961757i
\(625\) 6.20963 + 10.7554i 0.248385 + 0.430216i
\(626\) 9.92861 + 9.92861i 0.396827 + 0.396827i
\(627\) −8.27280 −0.330384
\(628\) 9.67233 0.385968
\(629\) −13.2796 13.2796i −0.529493 0.529493i
\(630\) 2.30259 0.889915i 0.0917373 0.0354551i
\(631\) 7.08811 1.89925i 0.282173 0.0756081i −0.114957 0.993371i \(-0.536673\pi\)
0.397130 + 0.917762i \(0.370006\pi\)
\(632\) 1.45706 5.43782i 0.0579588 0.216305i
\(633\) 9.62266 5.55565i 0.382466 0.220817i
\(634\) 18.4841i 0.734096i
\(635\) −2.38358 8.89564i −0.0945895 0.353013i
\(636\) −4.17861 −0.165693
\(637\) 22.9096 10.5901i 0.907711 0.419595i
\(638\) −30.2052 −1.19583
\(639\) −0.433350 1.61728i −0.0171431 0.0639787i
\(640\) 3.22481i 0.127472i
\(641\) 29.1101 16.8067i 1.14978 0.663826i 0.200946 0.979602i \(-0.435598\pi\)
0.948834 + 0.315777i \(0.102265\pi\)
\(642\) 2.83451 10.5785i 0.111869 0.417501i
\(643\) −22.8004 + 6.10935i −0.899160 + 0.240929i −0.678655 0.734457i \(-0.737437\pi\)
−0.220504 + 0.975386i \(0.570770\pi\)
\(644\) 0.589703 0.227911i 0.0232376 0.00898096i
\(645\) −8.02346 8.02346i −0.315924 0.315924i
\(646\) −4.64117 −0.182604
\(647\) 1.02762 0.0403998 0.0201999 0.999796i \(-0.493570\pi\)
0.0201999 + 0.999796i \(0.493570\pi\)
\(648\) 2.11257 + 2.11257i 0.0829897 + 0.0829897i
\(649\) 24.5364 + 42.4983i 0.963139 + 1.66821i
\(650\) −7.85349 + 12.3501i −0.308039 + 0.484411i
\(651\) 11.8720 + 16.2623i 0.465302 + 0.637369i
\(652\) 18.6233 + 4.99009i 0.729343 + 0.195427i
\(653\) −11.2342 + 19.4582i −0.439628 + 0.761458i −0.997661 0.0683609i \(-0.978223\pi\)
0.558033 + 0.829819i \(0.311556\pi\)
\(654\) −3.58843 6.21535i −0.140319 0.243039i
\(655\) 4.15604 + 15.5105i 0.162390 + 0.606047i
\(656\) −6.15420 6.15420i −0.240281 0.240281i
\(657\) 2.10388 + 7.85180i 0.0820803 + 0.306328i
\(658\) −2.05268 5.31115i −0.0800217 0.207050i
\(659\) −15.3326 + 26.5569i −0.597275 + 1.03451i 0.395947 + 0.918273i \(0.370416\pi\)
−0.993222 + 0.116237i \(0.962917\pi\)
\(660\) −5.50511 3.17838i −0.214286 0.123718i
\(661\) −24.4206 + 24.4206i −0.949852 + 0.949852i −0.998801 0.0489491i \(-0.984413\pi\)
0.0489491 + 0.998801i \(0.484413\pi\)
\(662\) −3.37847 1.95056i −0.131308 0.0758107i
\(663\) 13.1400 2.92450i 0.510314 0.113578i
\(664\) 42.0412i 1.63151i
\(665\) −1.97258 + 2.44734i −0.0764935 + 0.0949036i
\(666\) 2.48503 + 4.30419i 0.0962928 + 0.166784i
\(667\) 1.08516i 0.0420177i
\(668\) −22.6870 + 6.07898i −0.877788 + 0.235203i
\(669\) −26.5785 7.12168i −1.02758 0.275340i
\(670\) 6.70979 6.70979i 0.259222 0.259222i
\(671\) 11.4159 11.4159i 0.440708 0.440708i
\(672\) −1.43586 13.3678i −0.0553895 0.515673i
\(673\) 27.9964 16.1637i 1.07918 0.623066i 0.148506 0.988912i \(-0.452554\pi\)
0.930675 + 0.365846i \(0.119220\pi\)
\(674\) 14.4535 3.87281i 0.556729 0.149175i
\(675\) −2.05414 + 3.55787i −0.0790637 + 0.136942i
\(676\) 13.2600 + 1.13793i 0.509998 + 0.0437664i
\(677\) −25.7232 + 14.8513i −0.988623 + 0.570782i −0.904862 0.425704i \(-0.860026\pi\)
−0.0837606 + 0.996486i \(0.526693\pi\)
\(678\) −0.309102 + 1.15359i −0.0118710 + 0.0443032i
\(679\) −5.34713 + 3.90359i −0.205204 + 0.149806i
\(680\) −9.12208 5.26664i −0.349816 0.201966i
\(681\) −11.3401 3.03858i −0.434554 0.116439i
\(682\) −12.7968 + 47.7583i −0.490015 + 1.82876i
\(683\) 4.83332 18.0382i 0.184942 0.690213i −0.809701 0.586843i \(-0.800371\pi\)
0.994643 0.103370i \(-0.0329626\pi\)
\(684\) −1.24412 0.333360i −0.0475700 0.0127463i
\(685\) −3.92244 2.26462i −0.149869 0.0865267i
\(686\) 17.9248 + 3.68196i 0.684372 + 0.140578i
\(687\) −3.62802 + 13.5399i −0.138417 + 0.516581i
\(688\) 9.41190 5.43396i 0.358825 0.207168i
\(689\) 10.8420 9.95147i 0.413049 0.379121i
\(690\) −0.108890 + 0.188604i −0.00414539 + 0.00718002i
\(691\) 10.7277 2.87447i 0.408100 0.109350i −0.0489282 0.998802i \(-0.515581\pi\)
0.457028 + 0.889452i \(0.348914\pi\)
\(692\) 7.61408 4.39599i 0.289444 0.167110i
\(693\) 15.9091 + 7.03974i 0.604338 + 0.267418i
\(694\) 4.74704 4.74704i 0.180195 0.180195i
\(695\) −5.38002 + 5.38002i −0.204076 + 0.204076i
\(696\) −13.4166 3.59498i −0.508556 0.136267i
\(697\) −34.7029 + 9.29861i −1.31447 + 0.352210i
\(698\) 0.386660i 0.0146353i
\(699\) −3.04141 5.26788i −0.115037 0.199249i
\(700\) 10.3794 4.01146i 0.392303 0.151619i
\(701\) 9.68156i 0.365668i −0.983144 0.182834i \(-0.941473\pi\)
0.983144 0.182834i \(-0.0585270\pi\)
\(702\) −3.55922 0.152440i −0.134334 0.00575349i
\(703\) −5.48069 3.16428i −0.206708 0.119343i
\(704\) 31.7557 31.7557i 1.19684 1.19684i
\(705\) −1.78129 1.02843i −0.0670872 0.0387328i
\(706\) −9.86512 + 17.0869i −0.371279 + 0.643074i
\(707\) 5.93373 2.29329i 0.223161 0.0862482i
\(708\) 1.97744 + 7.37989i 0.0743166 + 0.277353i
\(709\) −1.06906 1.06906i −0.0401494 0.0401494i 0.686747 0.726896i \(-0.259038\pi\)
−0.726896 + 0.686747i \(0.759038\pi\)
\(710\) −0.404330 1.50898i −0.0151742 0.0566310i
\(711\) 0.942160 + 1.63187i 0.0353338 + 0.0611999i
\(712\) −6.09512 + 10.5571i −0.228424 + 0.395643i
\(713\) −1.71578 0.459743i −0.0642566 0.0172175i
\(714\) 8.92527 + 3.94940i 0.334020 + 0.147803i
\(715\) 21.8533 4.86378i 0.817266 0.181895i
\(716\) −6.98028 12.0902i −0.260865 0.451832i
\(717\) 3.72605 + 3.72605i 0.139152 + 0.139152i
\(718\) −27.3870 −1.02207
\(719\) 27.7174 1.03368 0.516842 0.856081i \(-0.327108\pi\)
0.516842 + 0.856081i \(0.327108\pi\)
\(720\) 0.603930 + 0.603930i 0.0225071 + 0.0225071i
\(721\) −5.97654 4.81717i −0.222578 0.179401i
\(722\) 16.6227 4.45404i 0.618632 0.165762i
\(723\) −6.94938 + 25.9354i −0.258450 + 0.964549i
\(724\) −9.97910 + 5.76143i −0.370870 + 0.214122i
\(725\) 19.0999i 0.709354i
\(726\) 8.24386 + 30.7665i 0.305958 + 1.14185i
\(727\) 29.0510 1.07744 0.538721 0.842484i \(-0.318908\pi\)
0.538721 + 0.842484i \(0.318908\pi\)
\(728\) 21.4040 + 18.8183i 0.793286 + 0.697452i
\(729\) −1.00000 −0.0370370
\(730\) 1.96299 + 7.32600i 0.0726537 + 0.271147i
\(731\) 44.8623i 1.65929i
\(732\) 2.17682 1.25679i 0.0804576 0.0464522i
\(733\) 8.78993 32.8045i 0.324663 1.21166i −0.589986 0.807413i \(-0.700867\pi\)
0.914650 0.404247i \(-0.132466\pi\)
\(734\) 6.37441 1.70802i 0.235284 0.0630441i
\(735\) 5.87597 3.02781i 0.216738 0.111683i
\(736\) 0.838703 + 0.838703i 0.0309150 + 0.0309150i
\(737\) 66.8735 2.46332
\(738\) 9.50785 0.349989
\(739\) 9.73435 + 9.73435i 0.358084 + 0.358084i 0.863106 0.505022i \(-0.168516\pi\)
−0.505022 + 0.863106i \(0.668516\pi\)
\(740\) −2.43141 4.21132i −0.0893803 0.154811i
\(741\) 4.02196 2.09794i 0.147750 0.0770699i
\(742\) 10.6091 1.13955i 0.389472 0.0418340i
\(743\) −30.3940 8.14404i −1.11505 0.298776i −0.346169 0.938172i \(-0.612518\pi\)
−0.768878 + 0.639396i \(0.779184\pi\)
\(744\) −11.3682 + 19.6904i −0.416780 + 0.721884i
\(745\) 7.26442 + 12.5823i 0.266148 + 0.460981i
\(746\) 0.257288 + 0.960210i 0.00941997 + 0.0351558i
\(747\) −9.95023 9.95023i −0.364060 0.364060i
\(748\) −6.50483 24.2764i −0.237840 0.887632i
\(749\) 4.52145 28.9751i 0.165210 1.05873i
\(750\) −4.24916 + 7.35977i −0.155158 + 0.268741i
\(751\) 22.9765 + 13.2655i 0.838423 + 0.484064i 0.856728 0.515769i \(-0.172494\pi\)
−0.0183050 + 0.999832i \(0.505827\pi\)
\(752\) 1.39302 1.39302i 0.0507983 0.0507983i
\(753\) −11.2292 6.48321i −0.409217 0.236261i
\(754\) 14.6848 7.65990i 0.534788 0.278957i
\(755\) 23.0775i 0.839876i
\(756\) 2.10884 + 1.69975i 0.0766979 + 0.0618195i
\(757\) 7.38184 + 12.7857i 0.268298 + 0.464705i 0.968422 0.249315i \(-0.0802056\pi\)
−0.700125 + 0.714021i \(0.746872\pi\)
\(758\) 21.1143i 0.766908i
\(759\) −1.48249 + 0.397233i −0.0538111 + 0.0144186i
\(760\) −3.42856 0.918680i −0.124367 0.0333240i
\(761\) 23.1965 23.1965i 0.840873 0.840873i −0.148100 0.988972i \(-0.547316\pi\)
0.988972 + 0.148100i \(0.0473156\pi\)
\(762\) −6.81371 + 6.81371i −0.246835 + 0.246835i
\(763\) −11.3314 15.5217i −0.410223 0.561922i
\(764\) 10.1042 5.83367i 0.365558 0.211055i
\(765\) 3.40550 0.912500i 0.123126 0.0329915i
\(766\) −11.2880 + 19.5513i −0.407850 + 0.706418i
\(767\) −22.7062 14.4390i −0.819873 0.521361i
\(768\) 14.7517 8.51691i 0.532307 0.307328i
\(769\) 1.79577 6.70191i 0.0647572 0.241677i −0.925959 0.377624i \(-0.876741\pi\)
0.990716 + 0.135947i \(0.0434078\pi\)
\(770\) 14.8437 + 6.56832i 0.534932 + 0.236706i
\(771\) −16.0849 9.28663i −0.579284 0.334450i
\(772\) −2.45551 0.657953i −0.0883759 0.0236802i
\(773\) −0.260414 + 0.971880i −0.00936645 + 0.0349561i −0.970451 0.241299i \(-0.922427\pi\)
0.961084 + 0.276255i \(