Properties

Label 280.2.bj.e.131.7
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.7
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.e.171.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.394992 - 1.35793i) q^{2} +(1.75472 - 1.01309i) q^{3} +(-1.68796 + 1.07275i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-2.06881 - 1.98263i) q^{6} +(1.63843 - 2.07739i) q^{7} +(2.12345 + 1.86841i) q^{8} +(0.552704 - 0.957311i) q^{9} +O(q^{10})\) \(q+(-0.394992 - 1.35793i) q^{2} +(1.75472 - 1.01309i) q^{3} +(-1.68796 + 1.07275i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-2.06881 - 1.98263i) q^{6} +(1.63843 - 2.07739i) q^{7} +(2.12345 + 1.86841i) q^{8} +(0.552704 - 0.957311i) q^{9} +(-1.37350 - 0.336893i) q^{10} +(-0.572544 - 0.991675i) q^{11} +(-1.87512 + 3.59243i) q^{12} +0.714654 q^{13} +(-3.46812 - 1.40433i) q^{14} -2.02618i q^{15} +(1.69844 - 3.62151i) q^{16} +(-1.98251 + 1.14460i) q^{17} +(-1.51828 - 0.372404i) q^{18} +(-3.36692 - 1.94389i) q^{19} +(0.0850431 + 1.99819i) q^{20} +(0.770420 - 5.30512i) q^{21} +(-1.12048 + 1.16918i) q^{22} +(4.00399 + 2.31171i) q^{23} +(5.61894 + 1.12731i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-0.282283 - 0.970452i) q^{26} +3.83879i q^{27} +(-0.537111 + 5.26417i) q^{28} +1.54366i q^{29} +(-2.75142 + 0.800325i) q^{30} +(0.590584 + 1.02292i) q^{31} +(-5.58863 - 0.875896i) q^{32} +(-2.00931 - 1.16008i) q^{33} +(2.33737 + 2.24000i) q^{34} +(-0.979852 - 2.45762i) q^{35} +(0.0940073 + 2.20882i) q^{36} +(-5.72305 - 3.30420i) q^{37} +(-1.30977 + 5.33988i) q^{38} +(1.25402 - 0.724009i) q^{39} +(2.67982 - 0.904752i) q^{40} +10.9848i q^{41} +(-7.50831 + 1.04930i) q^{42} +10.8452 q^{43} +(2.03025 + 1.05972i) q^{44} +(-0.552704 - 0.957311i) q^{45} +(1.55760 - 6.35026i) q^{46} +(-2.60440 + 4.51095i) q^{47} +(-0.688627 - 8.07541i) q^{48} +(-1.63107 - 6.80732i) q^{49} +(-0.978508 + 1.02104i) q^{50} +(-2.31917 + 4.01692i) q^{51} +(-1.20631 + 0.766642i) q^{52} +(-2.25895 + 1.30420i) q^{53} +(5.21281 - 1.51629i) q^{54} -1.14509 q^{55} +(7.36055 - 1.34995i) q^{56} -7.87736 q^{57} +(2.09618 - 0.609732i) q^{58} +(10.5249 - 6.07655i) q^{59} +(2.17358 + 3.42012i) q^{60} +(7.13513 - 12.3584i) q^{61} +(1.15578 - 1.20602i) q^{62} +(-1.08314 - 2.71667i) q^{63} +(1.01806 + 7.93496i) q^{64} +(0.357327 - 0.618909i) q^{65} +(-0.781644 + 3.18673i) q^{66} +(4.08800 + 7.08062i) q^{67} +(2.11853 - 4.05877i) q^{68} +9.36787 q^{69} +(-2.95025 + 2.30131i) q^{70} +15.8551i q^{71} +(2.96229 - 1.00012i) q^{72} +(-4.71396 + 2.72160i) q^{73} +(-2.22633 + 9.07665i) q^{74} +(-1.75472 - 1.01309i) q^{75} +(7.76854 - 0.330630i) q^{76} +(-2.99817 - 0.435400i) q^{77} +(-1.47848 - 1.41690i) q^{78} +(8.20023 + 4.73440i) q^{79} +(-2.28710 - 3.28164i) q^{80} +(5.54715 + 9.60794i) q^{81} +(14.9167 - 4.33893i) q^{82} -2.78987i q^{83} +(4.39060 + 9.78131i) q^{84} +2.28920i q^{85} +(-4.28375 - 14.7270i) q^{86} +(1.56386 + 2.70869i) q^{87} +(0.637093 - 3.17552i) q^{88} +(-11.0522 - 6.38097i) q^{89} +(-1.08165 + 1.12866i) q^{90} +(1.17091 - 1.48461i) q^{91} +(-9.23847 + 0.393190i) q^{92} +(2.07262 + 1.19663i) q^{93} +(7.15428 + 1.75481i) q^{94} +(-3.36692 + 1.94389i) q^{95} +(-10.6939 + 4.12483i) q^{96} +5.18530i q^{97} +(-8.59963 + 4.90371i) q^{98} -1.26579 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.394992 1.35793i −0.279301 0.960203i
\(3\) 1.75472 1.01309i 1.01309 0.584908i 0.100995 0.994887i \(-0.467797\pi\)
0.912095 + 0.409979i \(0.134464\pi\)
\(4\) −1.68796 + 1.07275i −0.843981 + 0.536373i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) −2.06881 1.98263i −0.844588 0.809407i
\(7\) 1.63843 2.07739i 0.619270 0.785178i
\(8\) 2.12345 + 1.86841i 0.750752 + 0.660584i
\(9\) 0.552704 0.957311i 0.184235 0.319104i
\(10\) −1.37350 0.336893i −0.434339 0.106535i
\(11\) −0.572544 0.991675i −0.172628 0.299001i 0.766710 0.641994i \(-0.221893\pi\)
−0.939338 + 0.342993i \(0.888559\pi\)
\(12\) −1.87512 + 3.59243i −0.541301 + 1.03705i
\(13\) 0.714654 0.198209 0.0991047 0.995077i \(-0.468402\pi\)
0.0991047 + 0.995077i \(0.468402\pi\)
\(14\) −3.46812 1.40433i −0.926894 0.375324i
\(15\) 2.02618i 0.523158i
\(16\) 1.69844 3.62151i 0.424609 0.905377i
\(17\) −1.98251 + 1.14460i −0.480829 + 0.277607i −0.720762 0.693183i \(-0.756208\pi\)
0.239933 + 0.970789i \(0.422875\pi\)
\(18\) −1.51828 0.372404i −0.357861 0.0877766i
\(19\) −3.36692 1.94389i −0.772425 0.445960i 0.0613139 0.998119i \(-0.480471\pi\)
−0.833739 + 0.552159i \(0.813804\pi\)
\(20\) 0.0850431 + 1.99819i 0.0190162 + 0.446809i
\(21\) 0.770420 5.30512i 0.168119 1.15767i
\(22\) −1.12048 + 1.16918i −0.238887 + 0.249270i
\(23\) 4.00399 + 2.31171i 0.834891 + 0.482024i 0.855524 0.517763i \(-0.173235\pi\)
−0.0206336 + 0.999787i \(0.506568\pi\)
\(24\) 5.61894 + 1.12731i 1.14696 + 0.230111i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −0.282283 0.970452i −0.0553602 0.190321i
\(27\) 3.83879i 0.738775i
\(28\) −0.537111 + 5.26417i −0.101504 + 0.994835i
\(29\) 1.54366i 0.286650i 0.989676 + 0.143325i \(0.0457794\pi\)
−0.989676 + 0.143325i \(0.954221\pi\)
\(30\) −2.75142 + 0.800325i −0.502338 + 0.146119i
\(31\) 0.590584 + 1.02292i 0.106072 + 0.183722i 0.914176 0.405318i \(-0.132839\pi\)
−0.808104 + 0.589040i \(0.799506\pi\)
\(32\) −5.58863 0.875896i −0.987940 0.154838i
\(33\) −2.00931 1.16008i −0.349776 0.201943i
\(34\) 2.33737 + 2.24000i 0.400855 + 0.384158i
\(35\) −0.979852 2.45762i −0.165625 0.415413i
\(36\) 0.0940073 + 2.20882i 0.0156679 + 0.368136i
\(37\) −5.72305 3.30420i −0.940864 0.543208i −0.0506326 0.998717i \(-0.516124\pi\)
−0.890231 + 0.455510i \(0.849457\pi\)
\(38\) −1.30977 + 5.33988i −0.212473 + 0.866243i
\(39\) 1.25402 0.724009i 0.200804 0.115934i
\(40\) 2.67982 0.904752i 0.423716 0.143054i
\(41\) 10.9848i 1.71555i 0.514029 + 0.857773i \(0.328152\pi\)
−0.514029 + 0.857773i \(0.671848\pi\)
\(42\) −7.50831 + 1.04930i −1.15856 + 0.161911i
\(43\) 10.8452 1.65387 0.826935 0.562297i \(-0.190082\pi\)
0.826935 + 0.562297i \(0.190082\pi\)
\(44\) 2.03025 + 1.05972i 0.306071 + 0.159758i
\(45\) −0.552704 0.957311i −0.0823922 0.142708i
\(46\) 1.55760 6.35026i 0.229655 0.936295i
\(47\) −2.60440 + 4.51095i −0.379890 + 0.657989i −0.991046 0.133521i \(-0.957372\pi\)
0.611156 + 0.791510i \(0.290705\pi\)
\(48\) −0.688627 8.07541i −0.0993948 1.16559i
\(49\) −1.63107 6.80732i −0.233009 0.972474i
\(50\) −0.978508 + 1.02104i −0.138382 + 0.144397i
\(51\) −2.31917 + 4.01692i −0.324749 + 0.562481i
\(52\) −1.20631 + 0.766642i −0.167285 + 0.106314i
\(53\) −2.25895 + 1.30420i −0.310290 + 0.179146i −0.647056 0.762442i \(-0.724000\pi\)
0.336766 + 0.941588i \(0.390667\pi\)
\(54\) 5.21281 1.51629i 0.709374 0.206341i
\(55\) −1.14509 −0.154404
\(56\) 7.36055 1.34995i 0.983594 0.180394i
\(57\) −7.87736 −1.04338
\(58\) 2.09618 0.609732i 0.275242 0.0800618i
\(59\) 10.5249 6.07655i 1.37023 0.791100i 0.379269 0.925286i \(-0.376176\pi\)
0.990956 + 0.134187i \(0.0428422\pi\)
\(60\) 2.17358 + 3.42012i 0.280607 + 0.441535i
\(61\) 7.13513 12.3584i 0.913559 1.58233i 0.104563 0.994518i \(-0.466656\pi\)
0.808997 0.587813i \(-0.200011\pi\)
\(62\) 1.15578 1.20602i 0.146784 0.153165i
\(63\) −1.08314 2.71667i −0.136462 0.342268i
\(64\) 1.01806 + 7.93496i 0.127257 + 0.991870i
\(65\) 0.357327 0.618909i 0.0443210 0.0767662i
\(66\) −0.781644 + 3.18673i −0.0962137 + 0.392259i
\(67\) 4.08800 + 7.08062i 0.499429 + 0.865036i 1.00000 0.000659524i \(-0.000209933\pi\)
−0.500571 + 0.865695i \(0.666877\pi\)
\(68\) 2.11853 4.05877i 0.256910 0.492198i
\(69\) 9.36787 1.12776
\(70\) −2.95025 + 2.30131i −0.352622 + 0.275059i
\(71\) 15.8551i 1.88166i 0.338881 + 0.940829i \(0.389952\pi\)
−0.338881 + 0.940829i \(0.610048\pi\)
\(72\) 2.96229 1.00012i 0.349109 0.117865i
\(73\) −4.71396 + 2.72160i −0.551727 + 0.318540i −0.749818 0.661644i \(-0.769859\pi\)
0.198091 + 0.980184i \(0.436526\pi\)
\(74\) −2.22633 + 9.07665i −0.258805 + 1.05514i
\(75\) −1.75472 1.01309i −0.202618 0.116982i
\(76\) 7.76854 0.330630i 0.891113 0.0379258i
\(77\) −2.99817 0.435400i −0.341673 0.0496184i
\(78\) −1.47848 1.41690i −0.167405 0.160432i
\(79\) 8.20023 + 4.73440i 0.922598 + 0.532662i 0.884463 0.466611i \(-0.154525\pi\)
0.0381347 + 0.999273i \(0.487858\pi\)
\(80\) −2.28710 3.28164i −0.255705 0.366899i
\(81\) 5.54715 + 9.60794i 0.616350 + 1.06755i
\(82\) 14.9167 4.33893i 1.64727 0.479154i
\(83\) 2.78987i 0.306229i −0.988208 0.153114i \(-0.951070\pi\)
0.988208 0.153114i \(-0.0489303\pi\)
\(84\) 4.39060 + 9.78131i 0.479054 + 1.06723i
\(85\) 2.28920i 0.248299i
\(86\) −4.28375 14.7270i −0.461928 1.58805i
\(87\) 1.56386 + 2.70869i 0.167664 + 0.290402i
\(88\) 0.637093 3.17552i 0.0679143 0.338511i
\(89\) −11.0522 6.38097i −1.17153 0.676382i −0.217488 0.976063i \(-0.569786\pi\)
−0.954039 + 0.299681i \(0.903120\pi\)
\(90\) −1.08165 + 1.12866i −0.114016 + 0.118972i
\(91\) 1.17091 1.48461i 0.122745 0.155630i
\(92\) −9.23847 + 0.393190i −0.963177 + 0.0409928i
\(93\) 2.07262 + 1.19663i 0.214921 + 0.124085i
\(94\) 7.15428 + 1.75481i 0.737907 + 0.180995i
\(95\) −3.36692 + 1.94389i −0.345439 + 0.199439i
\(96\) −10.6939 + 4.12483i −1.09144 + 0.420989i
\(97\) 5.18530i 0.526487i 0.964729 + 0.263244i \(0.0847923\pi\)
−0.964729 + 0.263244i \(0.915208\pi\)
\(98\) −8.59963 + 4.90371i −0.868694 + 0.495350i
\(99\) −1.26579 −0.127216
\(100\) 1.77301 + 0.925446i 0.177301 + 0.0925446i
\(101\) −0.506008 0.876431i −0.0503497 0.0872082i 0.839752 0.542970i \(-0.182700\pi\)
−0.890102 + 0.455762i \(0.849367\pi\)
\(102\) 6.37076 + 1.56263i 0.630799 + 0.154723i
\(103\) 1.22006 2.11321i 0.120217 0.208221i −0.799636 0.600484i \(-0.794974\pi\)
0.919853 + 0.392263i \(0.128308\pi\)
\(104\) 1.51753 + 1.33527i 0.148806 + 0.130934i
\(105\) −4.20916 3.31976i −0.410772 0.323976i
\(106\) 2.66329 + 2.55235i 0.258681 + 0.247906i
\(107\) −0.680251 + 1.17823i −0.0657623 + 0.113904i −0.897032 0.441966i \(-0.854281\pi\)
0.831270 + 0.555869i \(0.187615\pi\)
\(108\) −4.11804 6.47973i −0.396258 0.623512i
\(109\) −9.05255 + 5.22649i −0.867077 + 0.500607i −0.866376 0.499393i \(-0.833556\pi\)
−0.000700983 1.00000i \(0.500223\pi\)
\(110\) 0.452300 + 1.55495i 0.0431251 + 0.148259i
\(111\) −13.3898 −1.27091
\(112\) −4.74049 9.46191i −0.447934 0.894066i
\(113\) −7.83586 −0.737135 −0.368568 0.929601i \(-0.620152\pi\)
−0.368568 + 0.929601i \(0.620152\pi\)
\(114\) 3.11149 + 10.6969i 0.291418 + 1.00186i
\(115\) 4.00399 2.31171i 0.373374 0.215568i
\(116\) −1.65595 2.60564i −0.153751 0.241927i
\(117\) 0.394992 0.684146i 0.0365170 0.0632494i
\(118\) −12.4088 11.8919i −1.14232 1.09474i
\(119\) −0.870430 + 5.99379i −0.0797922 + 0.549450i
\(120\) 3.78574 4.30249i 0.345590 0.392762i
\(121\) 4.84439 8.39073i 0.440399 0.762793i
\(122\) −19.6002 4.80755i −1.77452 0.435255i
\(123\) 11.1286 + 19.2754i 1.00344 + 1.73800i
\(124\) −2.09422 1.09311i −0.188066 0.0981639i
\(125\) −1.00000 −0.0894427
\(126\) −3.26123 + 2.54389i −0.290533 + 0.226628i
\(127\) 12.0344i 1.06788i −0.845522 0.533940i \(-0.820711\pi\)
0.845522 0.533940i \(-0.179289\pi\)
\(128\) 10.3730 4.51670i 0.916854 0.399223i
\(129\) 19.0302 10.9871i 1.67552 0.967362i
\(130\) −0.981578 0.240762i −0.0860901 0.0211162i
\(131\) −17.9090 10.3397i −1.56471 0.903387i −0.996769 0.0803195i \(-0.974406\pi\)
−0.567943 0.823068i \(-0.692261\pi\)
\(132\) 4.63611 0.197313i 0.403522 0.0171739i
\(133\) −9.55470 + 3.80946i −0.828498 + 0.330322i
\(134\) 8.00028 8.34802i 0.691119 0.721159i
\(135\) 3.32449 + 1.91939i 0.286126 + 0.165195i
\(136\) −6.34834 1.27365i −0.544366 0.109214i
\(137\) 2.37459 + 4.11290i 0.202875 + 0.351389i 0.949453 0.313908i \(-0.101638\pi\)
−0.746579 + 0.665297i \(0.768305\pi\)
\(138\) −3.70023 12.7209i −0.314985 1.08288i
\(139\) 10.9812i 0.931416i −0.884938 0.465708i \(-0.845800\pi\)
0.884938 0.465708i \(-0.154200\pi\)
\(140\) 4.29035 + 3.09724i 0.362601 + 0.261764i
\(141\) 10.5540i 0.888803i
\(142\) 21.5302 6.26265i 1.80678 0.525550i
\(143\) −0.409171 0.708704i −0.0342166 0.0592648i
\(144\) −2.52818 3.62755i −0.210681 0.302296i
\(145\) 1.33685 + 0.771829i 0.111019 + 0.0640969i
\(146\) 5.55773 + 5.32622i 0.459961 + 0.440801i
\(147\) −9.75850 10.2926i −0.804868 0.848915i
\(148\) 13.2049 0.562000i 1.08543 0.0461961i
\(149\) −13.4757 7.78020i −1.10397 0.637379i −0.166711 0.986006i \(-0.553315\pi\)
−0.937261 + 0.348627i \(0.886648\pi\)
\(150\) −0.682607 + 2.78296i −0.0557346 + 0.227228i
\(151\) −10.8679 + 6.27460i −0.884419 + 0.510620i −0.872113 0.489305i \(-0.837251\pi\)
−0.0123061 + 0.999924i \(0.503917\pi\)
\(152\) −3.51749 10.4186i −0.285306 0.845057i
\(153\) 2.53050i 0.204579i
\(154\) 0.593008 + 4.24329i 0.0477859 + 0.341934i
\(155\) 1.18117 0.0948737
\(156\) −1.34006 + 2.56735i −0.107291 + 0.205552i
\(157\) −3.83150 6.63634i −0.305787 0.529638i 0.671650 0.740869i \(-0.265586\pi\)
−0.977436 + 0.211231i \(0.932253\pi\)
\(158\) 3.18998 13.0054i 0.253781 1.03465i
\(159\) −2.64255 + 4.57704i −0.209568 + 0.362983i
\(160\) −3.55286 + 4.40195i −0.280879 + 0.348005i
\(161\) 11.3626 4.53026i 0.895498 0.357035i
\(162\) 10.8559 11.3277i 0.852917 0.889989i
\(163\) −10.0482 + 17.4040i −0.787037 + 1.36319i 0.140738 + 0.990047i \(0.455053\pi\)
−0.927775 + 0.373141i \(0.878281\pi\)
\(164\) −11.7839 18.5420i −0.920171 1.44789i
\(165\) −2.00931 + 1.16008i −0.156425 + 0.0903118i
\(166\) −3.78846 + 1.10198i −0.294042 + 0.0855301i
\(167\) −6.77446 −0.524224 −0.262112 0.965037i \(-0.584419\pi\)
−0.262112 + 0.965037i \(0.584419\pi\)
\(168\) 11.5481 9.82568i 0.890956 0.758068i
\(169\) −12.4893 −0.960713
\(170\) 3.10858 0.904217i 0.238418 0.0693503i
\(171\) −3.72182 + 2.14880i −0.284615 + 0.164322i
\(172\) −18.3062 + 11.6341i −1.39584 + 0.887091i
\(173\) −8.70160 + 15.0716i −0.661570 + 1.14587i 0.318633 + 0.947878i \(0.396776\pi\)
−0.980203 + 0.197995i \(0.936557\pi\)
\(174\) 3.06051 3.19354i 0.232017 0.242101i
\(175\) −2.61829 0.380233i −0.197924 0.0287429i
\(176\) −4.56379 + 0.389175i −0.344008 + 0.0293352i
\(177\) 12.3122 21.3253i 0.925441 1.60291i
\(178\) −4.29941 + 17.5285i −0.322255 + 1.31382i
\(179\) −7.66373 13.2740i −0.572814 0.992143i −0.996275 0.0862291i \(-0.972518\pi\)
0.423461 0.905914i \(-0.360815\pi\)
\(180\) 1.95989 + 1.02300i 0.146082 + 0.0762496i
\(181\) −3.10021 −0.230437 −0.115218 0.993340i \(-0.536757\pi\)
−0.115218 + 0.993340i \(0.536757\pi\)
\(182\) −2.47851 1.00361i −0.183719 0.0743927i
\(183\) 28.9141i 2.13739i
\(184\) 4.18305 + 12.3899i 0.308378 + 0.913396i
\(185\) −5.72305 + 3.30420i −0.420767 + 0.242930i
\(186\) 0.806273 3.28714i 0.0591188 0.241025i
\(187\) 2.27014 + 1.31067i 0.166009 + 0.0958456i
\(188\) −0.442972 10.4082i −0.0323070 0.759093i
\(189\) 7.97464 + 6.28960i 0.580070 + 0.457501i
\(190\) 3.96959 + 3.80423i 0.287984 + 0.275988i
\(191\) 12.6460 + 7.30118i 0.915034 + 0.528295i 0.882047 0.471161i \(-0.156165\pi\)
0.0329865 + 0.999456i \(0.489498\pi\)
\(192\) 9.82524 + 12.8923i 0.709075 + 0.930420i
\(193\) 8.50498 + 14.7311i 0.612202 + 1.06037i 0.990868 + 0.134832i \(0.0430494\pi\)
−0.378666 + 0.925533i \(0.623617\pi\)
\(194\) 7.04129 2.04815i 0.505535 0.147049i
\(195\) 1.44802i 0.103695i
\(196\) 10.0557 + 9.74079i 0.718264 + 0.695771i
\(197\) 15.2341i 1.08538i 0.839932 + 0.542692i \(0.182595\pi\)
−0.839932 + 0.542692i \(0.817405\pi\)
\(198\) 0.499976 + 1.71886i 0.0355318 + 0.122154i
\(199\) −8.02143 13.8935i −0.568624 0.984886i −0.996702 0.0811444i \(-0.974142\pi\)
0.428078 0.903742i \(-0.359191\pi\)
\(200\) 0.556370 2.77317i 0.0393413 0.196092i
\(201\) 14.3466 + 8.28303i 1.01193 + 0.584240i
\(202\) −0.990266 + 1.03331i −0.0696748 + 0.0727033i
\(203\) 3.20677 + 2.52918i 0.225071 + 0.177514i
\(204\) −0.394459 9.26829i −0.0276176 0.648910i
\(205\) 9.51316 + 5.49242i 0.664428 + 0.383608i
\(206\) −3.35152 0.822063i −0.233511 0.0572758i
\(207\) 4.42605 2.55538i 0.307632 0.177611i
\(208\) 1.21379 2.58813i 0.0841615 0.179454i
\(209\) 4.45186i 0.307941i
\(210\) −2.84543 + 7.02704i −0.196353 + 0.484911i
\(211\) −5.85788 −0.403273 −0.201637 0.979460i \(-0.564626\pi\)
−0.201637 + 0.979460i \(0.564626\pi\)
\(212\) 2.41394 4.62472i 0.165790 0.317627i
\(213\) 16.0627 + 27.8214i 1.10060 + 1.90629i
\(214\) 1.86865 + 0.458344i 0.127738 + 0.0313317i
\(215\) 5.42258 9.39218i 0.369817 0.640541i
\(216\) −7.17244 + 8.15146i −0.488023 + 0.554637i
\(217\) 3.09263 + 0.449119i 0.209942 + 0.0304882i
\(218\) 10.6729 + 10.2283i 0.722860 + 0.692750i
\(219\) −5.51446 + 9.55132i −0.372633 + 0.645419i
\(220\) 1.93286 1.22839i 0.130314 0.0828178i
\(221\) −1.41681 + 0.817994i −0.0953048 + 0.0550243i
\(222\) 5.28887 + 18.1825i 0.354966 + 1.22033i
\(223\) −12.3268 −0.825465 −0.412732 0.910852i \(-0.635426\pi\)
−0.412732 + 0.910852i \(0.635426\pi\)
\(224\) −10.9762 + 10.1746i −0.733377 + 0.679822i
\(225\) −1.10541 −0.0736938
\(226\) 3.09510 + 10.6406i 0.205883 + 0.707800i
\(227\) 6.79256 3.92168i 0.450838 0.260291i −0.257346 0.966319i \(-0.582848\pi\)
0.708184 + 0.706028i \(0.249515\pi\)
\(228\) 13.2967 8.45040i 0.880595 0.559641i
\(229\) 7.70634 13.3478i 0.509249 0.882046i −0.490693 0.871332i \(-0.663256\pi\)
0.999943 0.0107133i \(-0.00341023\pi\)
\(230\) −4.72069 4.52405i −0.311273 0.298307i
\(231\) −5.70205 + 2.27341i −0.375168 + 0.149579i
\(232\) −2.88419 + 3.27788i −0.189356 + 0.215203i
\(233\) −5.62905 + 9.74980i −0.368771 + 0.638731i −0.989374 0.145395i \(-0.953555\pi\)
0.620602 + 0.784126i \(0.286888\pi\)
\(234\) −1.08504 0.266140i −0.0709315 0.0173981i
\(235\) 2.60440 + 4.51095i 0.169892 + 0.294262i
\(236\) −11.2470 + 21.5475i −0.732120 + 1.40262i
\(237\) 19.1855 1.24623
\(238\) 8.48298 1.18551i 0.549870 0.0768454i
\(239\) 14.1518i 0.915404i −0.889106 0.457702i \(-0.848673\pi\)
0.889106 0.457702i \(-0.151327\pi\)
\(240\) −7.33783 3.44134i −0.473655 0.222137i
\(241\) 17.9056 10.3378i 1.15340 0.665915i 0.203685 0.979036i \(-0.434708\pi\)
0.949713 + 0.313121i \(0.101375\pi\)
\(242\) −13.3075 3.26408i −0.855441 0.209823i
\(243\) 9.49397 + 5.48135i 0.609038 + 0.351628i
\(244\) 1.21359 + 28.5147i 0.0776919 + 1.82547i
\(245\) −6.71085 1.99112i −0.428740 0.127208i
\(246\) 21.7789 22.7256i 1.38857 1.44893i
\(247\) −2.40619 1.38921i −0.153102 0.0883935i
\(248\) −0.657167 + 3.27557i −0.0417301 + 0.207999i
\(249\) −2.82640 4.89546i −0.179116 0.310237i
\(250\) 0.394992 + 1.35793i 0.0249815 + 0.0858832i
\(251\) 13.1277i 0.828616i −0.910137 0.414308i \(-0.864024\pi\)
0.910137 0.414308i \(-0.135976\pi\)
\(252\) 4.74259 + 3.42371i 0.298755 + 0.215673i
\(253\) 5.29421i 0.332844i
\(254\) −16.3419 + 4.75349i −1.02538 + 0.298261i
\(255\) 2.31917 + 4.01692i 0.145232 + 0.251549i
\(256\) −10.2306 12.3018i −0.639414 0.768862i
\(257\) 17.6932 + 10.2152i 1.10367 + 0.637205i 0.937183 0.348839i \(-0.113424\pi\)
0.166488 + 0.986043i \(0.446757\pi\)
\(258\) −22.4366 21.5020i −1.39684 1.33865i
\(259\) −16.2409 + 6.47526i −1.00916 + 0.402353i
\(260\) 0.0607764 + 1.42802i 0.00376919 + 0.0885618i
\(261\) 1.47776 + 0.853186i 0.0914711 + 0.0528109i
\(262\) −6.96678 + 28.4033i −0.430409 + 1.75476i
\(263\) 27.1210 15.6583i 1.67235 0.965532i 0.706034 0.708178i \(-0.250483\pi\)
0.966317 0.257355i \(-0.0828508\pi\)
\(264\) −2.09916 6.21759i −0.129195 0.382666i
\(265\) 2.60841i 0.160233i
\(266\) 8.94702 + 11.4699i 0.548577 + 0.703267i
\(267\) −25.8580 −1.58248
\(268\) −14.4961 7.56645i −0.885490 0.462194i
\(269\) 0.435079 + 0.753580i 0.0265273 + 0.0459466i 0.878984 0.476851i \(-0.158222\pi\)
−0.852457 + 0.522797i \(0.824888\pi\)
\(270\) 1.29326 5.27257i 0.0787054 0.320879i
\(271\) 15.6655 27.1335i 0.951614 1.64824i 0.209682 0.977770i \(-0.432757\pi\)
0.741932 0.670475i \(-0.233910\pi\)
\(272\) 0.778020 + 9.12370i 0.0471744 + 0.553206i
\(273\) 0.550584 3.79133i 0.0333229 0.229462i
\(274\) 4.64710 4.84909i 0.280742 0.292944i
\(275\) −0.572544 + 0.991675i −0.0345257 + 0.0598002i
\(276\) −15.8126 + 10.0493i −0.951808 + 0.604899i
\(277\) 24.3707 14.0705i 1.46430 0.845412i 0.465091 0.885263i \(-0.346022\pi\)
0.999206 + 0.0398511i \(0.0126883\pi\)
\(278\) −14.9118 + 4.33750i −0.894349 + 0.260146i
\(279\) 1.30567 0.0781685
\(280\) 2.51119 7.04939i 0.150072 0.421282i
\(281\) −22.1338 −1.32039 −0.660195 0.751094i \(-0.729527\pi\)
−0.660195 + 0.751094i \(0.729527\pi\)
\(282\) 14.3316 4.16873i 0.853432 0.248244i
\(283\) −2.28363 + 1.31845i −0.135748 + 0.0783739i −0.566336 0.824175i \(-0.691639\pi\)
0.430588 + 0.902548i \(0.358306\pi\)
\(284\) −17.0085 26.7629i −1.00927 1.58808i
\(285\) −3.93868 + 6.82199i −0.233307 + 0.404100i
\(286\) −0.800754 + 0.835559i −0.0473496 + 0.0494076i
\(287\) 22.8198 + 17.9980i 1.34701 + 1.06239i
\(288\) −3.92736 + 4.86595i −0.231422 + 0.286729i
\(289\) −5.87977 + 10.1841i −0.345869 + 0.599063i
\(290\) 0.520048 2.12021i 0.0305383 0.124503i
\(291\) 5.25318 + 9.09877i 0.307947 + 0.533379i
\(292\) 5.03739 9.65084i 0.294791 0.564773i
\(293\) 9.78791 0.571816 0.285908 0.958257i \(-0.407705\pi\)
0.285908 + 0.958257i \(0.407705\pi\)
\(294\) −10.1221 + 17.3169i −0.590331 + 1.00994i
\(295\) 12.1531i 0.707581i
\(296\) −5.97897 17.7093i −0.347521 1.02933i
\(297\) 3.80683 2.19787i 0.220894 0.127533i
\(298\) −5.24219 + 21.3722i −0.303672 + 1.23806i
\(299\) 2.86147 + 1.65207i 0.165483 + 0.0955418i
\(300\) 4.04870 0.172313i 0.233752 0.00994848i
\(301\) 17.7691 22.5296i 1.02419 1.29858i
\(302\) 12.8132 + 12.2795i 0.737318 + 0.706605i
\(303\) −1.77581 1.02526i −0.102017 0.0588998i
\(304\) −12.7583 + 8.89176i −0.731740 + 0.509977i
\(305\) −7.13513 12.3584i −0.408556 0.707640i
\(306\) 3.43625 0.999528i 0.196437 0.0571392i
\(307\) 10.6770i 0.609367i −0.952454 0.304683i \(-0.901449\pi\)
0.952454 0.304683i \(-0.0985506\pi\)
\(308\) 5.52787 2.48133i 0.314979 0.141387i
\(309\) 4.94414i 0.281262i
\(310\) −0.466552 1.60395i −0.0264984 0.0910980i
\(311\) 4.23321 + 7.33214i 0.240043 + 0.415767i 0.960726 0.277497i \(-0.0895050\pi\)
−0.720683 + 0.693265i \(0.756172\pi\)
\(312\) 4.01560 + 0.805635i 0.227338 + 0.0456101i
\(313\) −20.2436 11.6877i −1.14424 0.660626i −0.196761 0.980452i \(-0.563042\pi\)
−0.947476 + 0.319826i \(0.896376\pi\)
\(314\) −7.49830 + 7.82422i −0.423154 + 0.441546i
\(315\) −2.89427 0.420312i −0.163074 0.0236819i
\(316\) −18.9205 + 0.805257i −1.06436 + 0.0452992i
\(317\) −11.0950 6.40571i −0.623158 0.359780i 0.154940 0.987924i \(-0.450482\pi\)
−0.778097 + 0.628144i \(0.783815\pi\)
\(318\) 7.25910 + 1.78052i 0.407070 + 0.0998464i
\(319\) 1.53081 0.883811i 0.0857087 0.0494839i
\(320\) 7.38090 + 3.08582i 0.412605 + 0.172502i
\(321\) 2.75662i 0.153860i
\(322\) −10.6399 13.6402i −0.592940 0.760140i
\(323\) 8.89994 0.495206
\(324\) −19.6703 10.2672i −1.09279 0.570399i
\(325\) −0.357327 0.618909i −0.0198209 0.0343309i
\(326\) 27.6024 + 6.77035i 1.52876 + 0.374975i
\(327\) −10.5898 + 18.3421i −0.585618 + 1.01432i
\(328\) −20.5242 + 23.3257i −1.13326 + 1.28795i
\(329\) 5.10384 + 12.8012i 0.281384 + 0.705754i
\(330\) 2.36897 + 2.27029i 0.130407 + 0.124975i
\(331\) −11.1099 + 19.2429i −0.610656 + 1.05769i 0.380474 + 0.924792i \(0.375761\pi\)
−0.991130 + 0.132896i \(0.957573\pi\)
\(332\) 2.99282 + 4.70920i 0.164253 + 0.258451i
\(333\) −6.32630 + 3.65249i −0.346679 + 0.200155i
\(334\) 2.67586 + 9.19927i 0.146416 + 0.503362i
\(335\) 8.17600 0.446703
\(336\) −17.9040 11.8005i −0.976745 0.643770i
\(337\) 14.9570 0.814761 0.407381 0.913258i \(-0.366442\pi\)
0.407381 + 0.913258i \(0.366442\pi\)
\(338\) 4.93316 + 16.9596i 0.268329 + 0.922480i
\(339\) −13.7498 + 7.93843i −0.746785 + 0.431156i
\(340\) −2.45573 3.86409i −0.133181 0.209560i
\(341\) 0.676270 1.17133i 0.0366221 0.0634313i
\(342\) 4.38801 + 4.20523i 0.237276 + 0.227393i
\(343\) −16.8138 7.76500i −0.907861 0.419270i
\(344\) 23.0291 + 20.2632i 1.24165 + 1.09252i
\(345\) 4.68394 8.11282i 0.252175 0.436779i
\(346\) 23.9033 + 5.86302i 1.28505 + 0.315198i
\(347\) 8.51734 + 14.7525i 0.457235 + 0.791954i 0.998814 0.0486962i \(-0.0155066\pi\)
−0.541579 + 0.840650i \(0.682173\pi\)
\(348\) −5.54548 2.89454i −0.297269 0.155164i
\(349\) −1.40440 −0.0751760 −0.0375880 0.999293i \(-0.511967\pi\)
−0.0375880 + 0.999293i \(0.511967\pi\)
\(350\) 0.517871 + 3.70565i 0.0276814 + 0.198075i
\(351\) 2.74340i 0.146432i
\(352\) 2.33113 + 6.04359i 0.124250 + 0.322125i
\(353\) 11.0830 6.39876i 0.589887 0.340572i −0.175166 0.984539i \(-0.556046\pi\)
0.765053 + 0.643967i \(0.222713\pi\)
\(354\) −33.8216 8.29579i −1.79760 0.440916i
\(355\) 13.7310 + 7.92757i 0.728763 + 0.420752i
\(356\) 25.5008 1.08532i 1.35154 0.0575216i
\(357\) 4.54489 + 11.3993i 0.240541 + 0.603313i
\(358\) −14.9981 + 15.6499i −0.792672 + 0.827125i
\(359\) −5.28987 3.05411i −0.279189 0.161190i 0.353867 0.935296i \(-0.384866\pi\)
−0.633056 + 0.774106i \(0.718200\pi\)
\(360\) 0.615016 3.06548i 0.0324142 0.161565i
\(361\) −1.94255 3.36460i −0.102240 0.177084i
\(362\) 1.22456 + 4.20988i 0.0643613 + 0.221266i
\(363\) 19.6312i 1.03037i
\(364\) −0.383848 + 3.76206i −0.0201191 + 0.197186i
\(365\) 5.44321i 0.284910i
\(366\) −39.2634 + 11.4208i −2.05233 + 0.596977i
\(367\) 4.55727 + 7.89342i 0.237888 + 0.412033i 0.960108 0.279630i \(-0.0902117\pi\)
−0.722220 + 0.691663i \(0.756878\pi\)
\(368\) 15.1724 10.5742i 0.790916 0.551219i
\(369\) 10.5159 + 6.07137i 0.547437 + 0.316063i
\(370\) 6.74745 + 6.46638i 0.350783 + 0.336171i
\(371\) −0.991802 + 6.82956i −0.0514918 + 0.354573i
\(372\) −4.78219 + 0.203530i −0.247945 + 0.0105525i
\(373\) −19.9065 11.4930i −1.03072 0.595086i −0.113529 0.993535i \(-0.536215\pi\)
−0.917191 + 0.398448i \(0.869549\pi\)
\(374\) 0.883111 3.60041i 0.0456646 0.186173i
\(375\) −1.75472 + 1.01309i −0.0906135 + 0.0523158i
\(376\) −13.9586 + 4.71267i −0.719860 + 0.243037i
\(377\) 1.10318i 0.0568167i
\(378\) 5.39093 13.3134i 0.277280 0.684766i
\(379\) 18.0966 0.929562 0.464781 0.885426i \(-0.346133\pi\)
0.464781 + 0.885426i \(0.346133\pi\)
\(380\) 3.59794 6.89307i 0.184570 0.353607i
\(381\) −12.1919 21.1170i −0.624612 1.08186i
\(382\) 4.91944 20.0564i 0.251700 1.02617i
\(383\) −10.7474 + 18.6150i −0.549165 + 0.951182i 0.449167 + 0.893448i \(0.351721\pi\)
−0.998332 + 0.0577341i \(0.981612\pi\)
\(384\) 13.6260 18.4344i 0.695347 0.940724i
\(385\) −1.87615 + 2.37879i −0.0956175 + 0.121234i
\(386\) 16.6444 17.3678i 0.847177 0.884000i
\(387\) 5.99416 10.3822i 0.304700 0.527756i
\(388\) −5.56250 8.75259i −0.282393 0.444346i
\(389\) −2.38186 + 1.37517i −0.120765 + 0.0697238i −0.559166 0.829056i \(-0.688878\pi\)
0.438401 + 0.898780i \(0.355545\pi\)
\(390\) −1.96631 + 0.571956i −0.0995681 + 0.0289621i
\(391\) −10.5839 −0.535253
\(392\) 9.25541 17.5025i 0.467469 0.884009i
\(393\) −41.9004 −2.11359
\(394\) 20.6869 6.01734i 1.04219 0.303149i
\(395\) 8.20023 4.73440i 0.412598 0.238214i
\(396\) 2.13660 1.35787i 0.107368 0.0682354i
\(397\) −7.62990 + 13.2154i −0.382934 + 0.663260i −0.991480 0.130258i \(-0.958420\pi\)
0.608547 + 0.793518i \(0.291753\pi\)
\(398\) −15.6981 + 16.3804i −0.786874 + 0.821075i
\(399\) −12.9065 + 16.3643i −0.646135 + 0.819241i
\(400\) −3.98554 + 0.339865i −0.199277 + 0.0169932i
\(401\) 4.15899 7.20358i 0.207690 0.359729i −0.743297 0.668962i \(-0.766739\pi\)
0.950986 + 0.309233i \(0.100072\pi\)
\(402\) 5.58099 22.7535i 0.278355 1.13484i
\(403\) 0.422063 + 0.731035i 0.0210245 + 0.0364154i
\(404\) 1.79431 + 0.936566i 0.0892702 + 0.0465959i
\(405\) 11.0943 0.551280
\(406\) 2.16781 5.35359i 0.107587 0.265694i
\(407\) 7.56720i 0.375092i
\(408\) −12.4299 + 4.19655i −0.615372 + 0.207760i
\(409\) 23.3269 13.4678i 1.15344 0.665941i 0.203719 0.979029i \(-0.434697\pi\)
0.949724 + 0.313089i \(0.101364\pi\)
\(410\) 3.70072 15.0877i 0.182766 0.745128i
\(411\) 8.33349 + 4.81134i 0.411061 + 0.237326i
\(412\) 0.207516 + 4.87584i 0.0102236 + 0.240216i
\(413\) 4.62101 31.8203i 0.227385 1.56578i
\(414\) −5.21829 5.00092i −0.256465 0.245782i
\(415\) −2.41610 1.39494i −0.118602 0.0684748i
\(416\) −3.99394 0.625963i −0.195819 0.0306903i
\(417\) −11.1250 19.2690i −0.544793 0.943608i
\(418\) 6.04532 1.75845i 0.295686 0.0860085i
\(419\) 8.97603i 0.438508i 0.975668 + 0.219254i \(0.0703623\pi\)
−0.975668 + 0.219254i \(0.929638\pi\)
\(420\) 10.6662 + 1.08828i 0.520456 + 0.0531028i
\(421\) 13.4720i 0.656583i 0.944576 + 0.328292i \(0.106473\pi\)
−0.944576 + 0.328292i \(0.893527\pi\)
\(422\) 2.31382 + 7.95461i 0.112635 + 0.387225i
\(423\) 2.87892 + 4.98643i 0.139978 + 0.242449i
\(424\) −7.23355 1.45124i −0.351292 0.0704785i
\(425\) 1.98251 + 1.14460i 0.0961658 + 0.0555213i
\(426\) 31.4349 32.8013i 1.52303 1.58923i
\(427\) −13.9827 35.0708i −0.676672 1.69720i
\(428\) −0.115701 2.71854i −0.00559263 0.131406i
\(429\) −1.43596 0.829054i −0.0693290 0.0400271i
\(430\) −14.8958 3.65366i −0.718340 0.176195i
\(431\) 20.5363 11.8567i 0.989200 0.571115i 0.0841648 0.996452i \(-0.473178\pi\)
0.905035 + 0.425337i \(0.139844\pi\)
\(432\) 13.9022 + 6.51993i 0.668870 + 0.313690i
\(433\) 18.5650i 0.892178i −0.894989 0.446089i \(-0.852817\pi\)
0.894989 0.446089i \(-0.147183\pi\)
\(434\) −0.611693 4.37699i −0.0293622 0.210102i
\(435\) 3.12773 0.149963
\(436\) 9.67367 18.5332i 0.463285 0.887579i
\(437\) −8.98743 15.5667i −0.429927 0.744656i
\(438\) 15.1482 + 3.71557i 0.723810 + 0.177537i
\(439\) −3.44704 + 5.97045i −0.164518 + 0.284954i −0.936484 0.350710i \(-0.885940\pi\)
0.771966 + 0.635664i \(0.219274\pi\)
\(440\) −2.43153 2.13950i −0.115919 0.101997i
\(441\) −7.41822 2.20100i −0.353249 0.104809i
\(442\) 1.67041 + 1.60083i 0.0794533 + 0.0761437i
\(443\) 14.1129 24.4443i 0.670525 1.16138i −0.307230 0.951635i \(-0.599402\pi\)
0.977755 0.209749i \(-0.0672646\pi\)
\(444\) 22.6015 14.3639i 1.07262 0.681679i
\(445\) −11.0522 + 6.38097i −0.523923 + 0.302487i
\(446\) 4.86899 + 16.7390i 0.230554 + 0.792614i
\(447\) −31.5282 −1.49123
\(448\) 18.1520 + 10.8860i 0.857601 + 0.514316i
\(449\) 1.93651 0.0913896 0.0456948 0.998955i \(-0.485450\pi\)
0.0456948 + 0.998955i \(0.485450\pi\)
\(450\) 0.436627 + 1.50107i 0.0205828 + 0.0707611i
\(451\) 10.8934 6.28930i 0.512950 0.296152i
\(452\) 13.2266 8.40588i 0.622128 0.395379i
\(453\) −12.7135 + 22.0204i −0.597331 + 1.03461i
\(454\) −8.00839 7.67480i −0.375852 0.360196i
\(455\) −0.700255 1.75635i −0.0328285 0.0823389i
\(456\) −16.7272 14.7182i −0.783321 0.689242i
\(457\) −17.3752 + 30.0948i −0.812779 + 1.40777i 0.0981335 + 0.995173i \(0.468713\pi\)
−0.910912 + 0.412601i \(0.864621\pi\)
\(458\) −21.1693 5.19243i −0.989177 0.242626i
\(459\) −4.39388 7.61043i −0.205089 0.355224i
\(460\) −4.27872 + 8.19734i −0.199496 + 0.382203i
\(461\) −29.3117 −1.36518 −0.682590 0.730802i \(-0.739146\pi\)
−0.682590 + 0.730802i \(0.739146\pi\)
\(462\) 5.33940 + 6.84503i 0.248411 + 0.318459i
\(463\) 9.47208i 0.440205i −0.975477 0.220102i \(-0.929361\pi\)
0.975477 0.220102i \(-0.0706391\pi\)
\(464\) 5.59037 + 2.62180i 0.259526 + 0.121714i
\(465\) 2.07262 1.19663i 0.0961156 0.0554924i
\(466\) 15.4630 + 3.79278i 0.716310 + 0.175697i
\(467\) 11.2422 + 6.49066i 0.520225 + 0.300352i 0.737027 0.675864i \(-0.236229\pi\)
−0.216802 + 0.976216i \(0.569563\pi\)
\(468\) 0.0671827 + 1.57854i 0.00310552 + 0.0729680i
\(469\) 21.4071 + 3.10878i 0.988489 + 0.143550i
\(470\) 5.09685 5.31838i 0.235100 0.245319i
\(471\) −13.4464 7.76330i −0.619579 0.357714i
\(472\) 33.7026 + 6.76163i 1.55129 + 0.311229i
\(473\) −6.20932 10.7549i −0.285505 0.494509i
\(474\) −7.57812 26.0526i −0.348075 1.19664i
\(475\) 3.88779i 0.178384i
\(476\) −4.96055 11.0510i −0.227367 0.506524i
\(477\) 2.88335i 0.132020i
\(478\) −19.2172 + 5.58985i −0.878974 + 0.255674i
\(479\) −9.96246 17.2555i −0.455197 0.788424i 0.543503 0.839407i \(-0.317098\pi\)
−0.998699 + 0.0509837i \(0.983764\pi\)
\(480\) −1.77472 + 11.3236i −0.0810047 + 0.516848i
\(481\) −4.09000 2.36136i −0.186488 0.107669i
\(482\) −21.1106 20.2312i −0.961560 0.921506i
\(483\) 15.3486 19.4607i 0.698388 0.885492i
\(484\) 0.823964 + 19.3600i 0.0374529 + 0.880001i
\(485\) 4.49060 + 2.59265i 0.203908 + 0.117726i
\(486\) 3.69326 15.0573i 0.167530 0.683011i
\(487\) −23.4025 + 13.5114i −1.06047 + 0.612261i −0.925562 0.378597i \(-0.876407\pi\)
−0.134906 + 0.990858i \(0.543073\pi\)
\(488\) 38.2417 12.9110i 1.73112 0.584456i
\(489\) 40.7190i 1.84138i
\(490\) −0.0530721 + 9.89935i −0.00239756 + 0.447207i
\(491\) 0.454409 0.0205072 0.0102536 0.999947i \(-0.496736\pi\)
0.0102536 + 0.999947i \(0.496736\pi\)
\(492\) −39.4623 20.5979i −1.77910 0.928626i
\(493\) −1.76687 3.06031i −0.0795760 0.137830i
\(494\) −0.936033 + 3.81617i −0.0421141 + 0.171697i
\(495\) −0.632894 + 1.09620i −0.0284465 + 0.0492707i
\(496\) 4.70759 0.401437i 0.211377 0.0180251i
\(497\) 32.9372 + 25.9776i 1.47744 + 1.16525i
\(498\) −5.53130 + 5.77172i −0.247864 + 0.258637i
\(499\) −4.29223 + 7.43436i −0.192147 + 0.332808i −0.945961 0.324279i \(-0.894878\pi\)
0.753815 + 0.657087i \(0.228212\pi\)
\(500\) 1.68796 1.07275i 0.0754880 0.0479746i
\(501\) −11.8873 + 6.86314i −0.531086 + 0.306623i
\(502\) −17.8266 + 5.18535i −0.795640 + 0.231434i
\(503\) 43.3946 1.93487 0.967434 0.253123i \(-0.0814578\pi\)
0.967434 + 0.253123i \(0.0814578\pi\)
\(504\) 2.77588 7.79245i 0.123648 0.347103i
\(505\) −1.01202 −0.0450341
\(506\) −7.18919 + 2.09117i −0.319598 + 0.0929639i
\(507\) −21.9152 + 12.6528i −0.973289 + 0.561929i
\(508\) 12.9098 + 20.3136i 0.572782 + 0.901271i
\(509\) −11.5209 + 19.9548i −0.510654 + 0.884479i 0.489270 + 0.872133i \(0.337263\pi\)
−0.999924 + 0.0123465i \(0.996070\pi\)
\(510\) 4.53865 4.73593i 0.200975 0.209710i
\(511\) −2.06969 + 14.2519i −0.0915575 + 0.630466i
\(512\) −12.6640 + 18.7516i −0.559675 + 0.828712i
\(513\) 7.46219 12.9249i 0.329464 0.570648i
\(514\) 6.88284 28.0611i 0.303589 1.23772i
\(515\) −1.22006 2.11321i −0.0537625 0.0931193i
\(516\) −20.3360 + 38.9604i −0.895241 + 1.71514i
\(517\) 5.96452 0.262319
\(518\) 15.2080 + 19.4964i 0.668202 + 0.856624i
\(519\) 35.2620i 1.54783i
\(520\) 1.91514 0.646585i 0.0839846 0.0283546i
\(521\) −36.5041 + 21.0756i −1.59927 + 0.923340i −0.607644 + 0.794209i \(0.707885\pi\)
−0.991628 + 0.129130i \(0.958781\pi\)
\(522\) 0.574865 2.34370i 0.0251612 0.102581i
\(523\) −9.61525 5.55137i −0.420445 0.242744i 0.274822 0.961495i \(-0.411381\pi\)
−0.695268 + 0.718751i \(0.744714\pi\)
\(524\) 41.3215 1.75865i 1.80514 0.0768269i
\(525\) −4.97958 + 1.98536i −0.217327 + 0.0866481i
\(526\) −31.9755 30.6436i −1.39420 1.33612i
\(527\) −2.34167 1.35197i −0.102005 0.0588926i
\(528\) −7.61391 + 5.30642i −0.331353 + 0.230932i
\(529\) −0.812016 1.40645i −0.0353051 0.0611501i
\(530\) 3.54204 1.03030i 0.153857 0.0447534i
\(531\) 13.4341i 0.582992i
\(532\) 12.0414 16.6800i 0.522061 0.723169i
\(533\) 7.85037i 0.340037i
\(534\) 10.2137 + 35.1134i 0.441990 + 1.51951i
\(535\) 0.680251 + 1.17823i 0.0294098 + 0.0509393i
\(536\) −4.54889 + 22.6734i −0.196482 + 0.979342i
\(537\) −26.8955 15.5281i −1.16063 0.670087i
\(538\) 0.851458 0.888467i 0.0367089 0.0383045i
\(539\) −5.81679 + 5.51497i −0.250547 + 0.237547i
\(540\) −7.67063 + 0.326462i −0.330091 + 0.0140487i
\(541\) 21.7744 + 12.5715i 0.936156 + 0.540490i 0.888753 0.458386i \(-0.151572\pi\)
0.0474025 + 0.998876i \(0.484906\pi\)
\(542\) −43.0333 10.5552i −1.84844 0.453386i
\(543\) −5.44001 + 3.14079i −0.233453 + 0.134784i
\(544\) 12.0821 4.66029i 0.518014 0.199808i
\(545\) 10.4530i 0.447756i
\(546\) −5.36584 + 0.749888i −0.229637 + 0.0320922i
\(547\) 4.35086 0.186030 0.0930148 0.995665i \(-0.470350\pi\)
0.0930148 + 0.995665i \(0.470350\pi\)
\(548\) −8.42031 4.39510i −0.359698 0.187749i
\(549\) −7.88722 13.6611i −0.336619 0.583040i
\(550\) 1.57278 + 0.385772i 0.0670635 + 0.0164494i
\(551\) 3.00071 5.19738i 0.127834 0.221416i
\(552\) 19.8922 + 17.5031i 0.846668 + 0.744980i
\(553\) 23.2707 9.27803i 0.989571 0.394542i
\(554\) −28.7330 27.5361i −1.22075 1.16990i
\(555\) −6.69491 + 11.5959i −0.284183 + 0.492220i
\(556\) 11.7801 + 18.5359i 0.499586 + 0.786098i
\(557\) 22.5821 13.0378i 0.956833 0.552428i 0.0616365 0.998099i \(-0.480368\pi\)
0.895197 + 0.445671i \(0.147035\pi\)
\(558\) −0.515730 1.77301i −0.0218326 0.0750577i
\(559\) 7.75053 0.327813
\(560\) −10.5645 0.625568i −0.446432 0.0264351i
\(561\) 5.31130 0.224243
\(562\) 8.74267 + 30.0562i 0.368787 + 1.26784i
\(563\) −15.6768 + 9.05099i −0.660697 + 0.381454i −0.792542 0.609817i \(-0.791243\pi\)
0.131845 + 0.991270i \(0.457910\pi\)
\(564\) −11.3217 17.8147i −0.476730 0.750133i
\(565\) −3.91793 + 6.78605i −0.164828 + 0.285491i
\(566\) 2.69239 + 2.58023i 0.113169 + 0.108455i
\(567\) 29.0480 + 4.21842i 1.21990 + 0.177157i
\(568\) −29.6240 + 33.6676i −1.24299 + 1.41266i
\(569\) −12.4224 + 21.5163i −0.520776 + 0.902010i 0.478932 + 0.877852i \(0.341024\pi\)
−0.999708 + 0.0241585i \(0.992309\pi\)
\(570\) 10.8196 + 2.65383i 0.453181 + 0.111157i
\(571\) −2.25668 3.90869i −0.0944392 0.163574i 0.814935 0.579552i \(-0.196772\pi\)
−0.909374 + 0.415979i \(0.863439\pi\)
\(572\) 1.45092 + 0.757331i 0.0606662 + 0.0316656i
\(573\) 29.5870 1.23602
\(574\) 15.4264 38.0968i 0.643885 1.59013i
\(575\) 4.62342i 0.192810i
\(576\) 8.15891 + 3.41108i 0.339954 + 0.142129i
\(577\) −20.3993 + 11.7776i −0.849235 + 0.490306i −0.860393 0.509632i \(-0.829782\pi\)
0.0111579 + 0.999938i \(0.496448\pi\)
\(578\) 16.1517 + 3.96171i 0.671824 + 0.164786i
\(579\) 29.8478 + 17.2326i 1.24043 + 0.716164i
\(580\) −3.08452 + 0.131277i −0.128078 + 0.00545100i
\(581\) −5.79565 4.57103i −0.240444 0.189638i
\(582\) 10.2806 10.7274i 0.426143 0.444665i
\(583\) 2.58669 + 1.49343i 0.107130 + 0.0618514i
\(584\) −15.0949 3.02844i −0.624632 0.125318i
\(585\) −0.394992 0.684146i −0.0163309 0.0282860i
\(586\) −3.86615 13.2913i −0.159709 0.549060i
\(587\) 3.48482i 0.143834i 0.997411 + 0.0719170i \(0.0229117\pi\)
−0.997411 + 0.0719170i \(0.977088\pi\)
\(588\) 27.5133 + 6.90506i 1.13463 + 0.284760i
\(589\) 4.59213i 0.189215i
\(590\) −16.5031 + 4.80038i −0.679422 + 0.197628i
\(591\) 15.4335 + 26.7316i 0.634850 + 1.09959i
\(592\) −21.6864 + 15.1141i −0.891307 + 0.621185i
\(593\) −11.4527 6.61223i −0.470307 0.271532i 0.246061 0.969254i \(-0.420864\pi\)
−0.716368 + 0.697722i \(0.754197\pi\)
\(594\) −4.48823 4.30127i −0.184154 0.176483i
\(595\) 4.75556 + 3.75071i 0.194959 + 0.153764i
\(596\) 31.0926 1.32330i 1.27360 0.0542047i
\(597\) −28.1508 16.2529i −1.15214 0.665186i
\(598\) 1.11314 4.53824i 0.0455198 0.185583i
\(599\) 12.0329 6.94719i 0.491650 0.283855i −0.233608 0.972331i \(-0.575053\pi\)
0.725259 + 0.688476i \(0.241720\pi\)
\(600\) −1.83319 5.42979i −0.0748397 0.221670i
\(601\) 18.8327i 0.768200i −0.923291 0.384100i \(-0.874512\pi\)
0.923291 0.384100i \(-0.125488\pi\)
\(602\) −37.6123 15.2302i −1.53296 0.620737i
\(603\) 9.03781 0.368048
\(604\) 11.6136 22.2498i 0.472551 0.905331i
\(605\) −4.84439 8.39073i −0.196952 0.341132i
\(606\) −0.690809 + 2.81640i −0.0280622 + 0.114408i
\(607\) 12.1505 21.0453i 0.493175 0.854204i −0.506794 0.862067i \(-0.669170\pi\)
0.999969 + 0.00786319i \(0.00250296\pi\)
\(608\) 17.1138 + 13.8128i 0.694058 + 0.560182i
\(609\) 8.18929 + 1.18927i 0.331847 + 0.0481915i
\(610\) −13.9636 + 14.5705i −0.565368 + 0.589942i
\(611\) −1.86124 + 3.22377i −0.0752978 + 0.130420i
\(612\) −2.71458 4.27139i −0.109731 0.172661i
\(613\) −16.2648 + 9.39048i −0.656929 + 0.379278i −0.791106 0.611679i \(-0.790494\pi\)
0.134177 + 0.990957i \(0.457161\pi\)
\(614\) −14.4986 + 4.21732i −0.585116 + 0.170197i
\(615\) 22.2573 0.897500
\(616\) −5.55294 6.52636i −0.223734 0.262955i
\(617\) 26.0641 1.04930 0.524651 0.851317i \(-0.324196\pi\)
0.524651 + 0.851317i \(0.324196\pi\)
\(618\) −6.71381 + 1.95290i −0.270069 + 0.0785570i
\(619\) −20.7007 + 11.9515i −0.832030 + 0.480373i −0.854547 0.519374i \(-0.826165\pi\)
0.0225171 + 0.999746i \(0.492832\pi\)
\(620\) −1.99377 + 1.26709i −0.0800716 + 0.0508876i
\(621\) −8.87415 + 15.3705i −0.356107 + 0.616796i
\(622\) 8.28447 8.64455i 0.332177 0.346615i
\(623\) −31.3640 + 12.5048i −1.25657 + 0.500995i
\(624\) −0.492130 5.77113i −0.0197010 0.231030i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −7.87499 + 32.1060i −0.314748 + 1.28321i
\(627\) 4.51013 + 7.81178i 0.180117 + 0.311972i
\(628\) 13.5865 + 7.09168i 0.542161 + 0.282989i
\(629\) 15.1280 0.603192
\(630\) 0.572459 + 4.09625i 0.0228073 + 0.163198i
\(631\) 29.3239i 1.16736i 0.811982 + 0.583682i \(0.198389\pi\)
−0.811982 + 0.583682i \(0.801611\pi\)
\(632\) 8.56692 + 25.3747i 0.340774 + 1.00935i
\(633\) −10.2790 + 5.93457i −0.408552 + 0.235878i
\(634\) −4.31608 + 17.5965i −0.171413 + 0.698846i
\(635\) −10.4221 6.01720i −0.413588 0.238785i
\(636\) −0.449462 10.5607i −0.0178223 0.418757i
\(637\) −1.16565 4.86488i −0.0461847 0.192754i
\(638\) −1.80481 1.72963i −0.0714532 0.0684768i
\(639\) 15.1783 + 8.76320i 0.600444 + 0.346667i
\(640\) 1.27493 11.2416i 0.0503961 0.444365i
\(641\) 2.35512 + 4.07919i 0.0930217 + 0.161118i 0.908781 0.417273i \(-0.137014\pi\)
−0.815760 + 0.578391i \(0.803681\pi\)
\(642\) 3.74331 1.08884i 0.147737 0.0429732i
\(643\) 3.22266i 0.127089i 0.997979 + 0.0635446i \(0.0202405\pi\)
−0.997979 + 0.0635446i \(0.979759\pi\)
\(644\) −14.3198 + 19.8361i −0.564280 + 0.781651i
\(645\) 21.9742i 0.865235i
\(646\) −3.51540 12.0855i −0.138312 0.475498i
\(647\) −0.242759 0.420471i −0.00954385 0.0165304i 0.861214 0.508242i \(-0.169705\pi\)
−0.870758 + 0.491712i \(0.836371\pi\)
\(648\) −6.17254 + 30.7663i −0.242480 + 1.20862i
\(649\) −12.0519 6.95818i −0.473079 0.273133i
\(650\) −0.699295 + 0.729690i −0.0274286 + 0.0286208i
\(651\) 5.88172 2.34504i 0.230523 0.0919093i
\(652\) −1.70906 40.1565i −0.0669321 1.57265i
\(653\) 4.25225 + 2.45504i 0.166403 + 0.0960730i 0.580889 0.813983i \(-0.302705\pi\)
−0.414485 + 0.910056i \(0.636038\pi\)
\(654\) 29.0902 + 7.13527i 1.13752 + 0.279011i
\(655\) −17.9090 + 10.3397i −0.699761 + 0.404007i
\(656\) 39.7817 + 18.6571i 1.55321 + 0.728436i
\(657\) 6.01696i 0.234744i
\(658\) 15.3672 11.9871i 0.599077 0.467304i
\(659\) 50.3794 1.96250 0.981252 0.192729i \(-0.0617337\pi\)
0.981252 + 0.192729i \(0.0617337\pi\)
\(660\) 2.14718 4.11365i 0.0835787 0.160123i
\(661\) 2.39100 + 4.14133i 0.0929991 + 0.161079i 0.908772 0.417294i \(-0.137021\pi\)
−0.815773 + 0.578373i \(0.803688\pi\)
\(662\) 30.5189 + 7.48571i 1.18615 + 0.290940i
\(663\) −1.65740 + 2.87071i −0.0643683 + 0.111489i
\(664\) 5.21264 5.92415i 0.202290 0.229902i
\(665\) −1.47826 + 10.1793i −0.0573246 + 0.394738i
\(666\) 7.45868 + 7.14799i 0.289018 + 0.276979i
\(667\) −3.56849 + 6.18080i −0.138172 + 0.239321i
\(668\) 11.4350 7.26727i 0.442435 0.281179i
\(669\) −21.6302 + 12.4882i −0.836270 + 0.482821i
\(670\) −3.22945 11.1025i −0.124765 0.428925i
\(671\) −16.3407 −0.630825
\(672\) −8.95233 + 28.9736i −0.345344 + 1.11768i
\(673\) 27.2854 1.05177 0.525887 0.850555i \(-0.323734\pi\)
0.525887 + 0.850555i \(0.323734\pi\)
\(674\) −5.90790 20.3106i −0.227564 0.782336i
\(675\) 3.32449 1.91939i 0.127960 0.0738775i
\(676\) 21.0814 13.3978i 0.810824 0.515300i
\(677\) 21.2029 36.7245i 0.814893 1.41144i −0.0945112 0.995524i \(-0.530129\pi\)
0.909405 0.415913i \(-0.136538\pi\)
\(678\) 16.2109 + 15.5356i 0.622576 + 0.596643i
\(679\) 10.7719 + 8.49577i 0.413386 + 0.326038i
\(680\) −4.27718 + 4.86100i −0.164022 + 0.186411i
\(681\) 7.94604 13.7629i 0.304493 0.527397i
\(682\) −1.85771 0.455662i −0.0711355 0.0174482i
\(683\) −22.2969 38.6193i −0.853165 1.47773i −0.878337 0.478042i \(-0.841347\pi\)
0.0251714 0.999683i \(-0.491987\pi\)
\(684\) 3.97719 7.61965i 0.152072 0.291345i
\(685\) 4.74917 0.181457
\(686\) −3.90302 + 25.8992i −0.149018 + 0.988835i
\(687\) 31.2289i 1.19146i
\(688\) 18.4198 39.2758i 0.702248 1.49738i
\(689\) −1.61437 + 0.932055i −0.0615025 + 0.0355085i
\(690\) −12.8668 3.15597i −0.489830 0.120146i
\(691\) 2.71156 + 1.56552i 0.103152 + 0.0595551i 0.550689 0.834711i \(-0.314365\pi\)
−0.447536 + 0.894266i \(0.647698\pi\)
\(692\) −1.48002 34.7749i −0.0562620 1.32194i
\(693\) −2.07391 + 2.62953i −0.0787814 + 0.0998876i
\(694\) 16.6686 17.3931i 0.632730 0.660232i
\(695\) −9.51003 5.49062i −0.360736 0.208271i
\(696\) −1.74018 + 8.67371i −0.0659612 + 0.328776i
\(697\) −12.5733 21.7776i −0.476247 0.824884i
\(698\) 0.554728 + 1.90708i 0.0209968 + 0.0721842i
\(699\) 22.8110i 0.862789i
\(700\) 4.82746 2.16693i 0.182461 0.0819024i
\(701\) 0.816220i 0.0308282i −0.999881 0.0154141i \(-0.995093\pi\)
0.999881 0.0154141i \(-0.00490665\pi\)
\(702\) 3.72536 1.08362i 0.140605 0.0408987i
\(703\) 12.8460 + 22.2500i 0.484498 + 0.839175i
\(704\) 7.28601 5.55269i 0.274602 0.209275i
\(705\) 9.13999 + 5.27698i 0.344232 + 0.198742i
\(706\) −13.0668 12.5225i −0.491775 0.471290i
\(707\) −2.64975 0.384801i −0.0996540 0.0144719i
\(708\) 2.09413 + 49.2042i 0.0787024 + 1.84921i
\(709\) −25.7963 14.8935i −0.968799 0.559336i −0.0699290 0.997552i \(-0.522277\pi\)
−0.898870 + 0.438216i \(0.855611\pi\)
\(710\) 5.34149 21.7770i 0.200463 0.817278i
\(711\) 9.06459 5.23345i 0.339949 0.196270i
\(712\) −11.5464 34.1997i −0.432720 1.28169i
\(713\) 5.46103i 0.204517i
\(714\) 13.6842 10.6743i 0.512120 0.399474i
\(715\) −0.818341 −0.0306042
\(716\) 27.1757 + 14.1847i 1.01560 + 0.530109i
\(717\) −14.3370 24.8325i −0.535427 0.927386i
\(718\) −2.05782 + 8.38964i −0.0767971 + 0.313099i
\(719\) −2.37920 + 4.12090i −0.0887293 + 0.153684i −0.906974 0.421186i \(-0.861614\pi\)
0.818245 + 0.574870i \(0.194947\pi\)
\(720\) −4.40564 + 0.375689i −0.164189 + 0.0140011i
\(721\) −2.39096 5.99691i −0.0890442 0.223336i
\(722\) −3.80160 + 3.96684i −0.141481 + 0.147631i
\(723\) 20.9462 36.2799i 0.778998 1.34926i
\(724\) 5.23304 3.32573i 0.194484 0.123600i
\(725\) 1.33685 0.771829i 0.0496492 0.0286650i
\(726\) −26.6579 + 7.75417i −0.989366 + 0.287784i
\(727\) −14.0543 −0.521246 −0.260623 0.965441i \(-0.583928\pi\)
−0.260623 + 0.965441i \(0.583928\pi\)
\(728\) 5.26025 0.964745i 0.194958 0.0357558i
\(729\) −11.0705 −0.410019
\(730\) 7.39151 2.15002i 0.273572 0.0795759i
\(731\) −21.5006 + 12.4134i −0.795229 + 0.459125i
\(732\) 31.0175 + 48.8059i 1.14644 + 1.80392i
\(733\) −0.785118 + 1.35986i −0.0289990 + 0.0502277i −0.880161 0.474676i \(-0.842565\pi\)
0.851162 + 0.524904i \(0.175899\pi\)
\(734\) 8.91865 9.30630i 0.329193 0.343502i
\(735\) −13.7929 + 3.30483i −0.508757 + 0.121901i
\(736\) −20.3520 16.4264i −0.750186 0.605484i
\(737\) 4.68112 8.10793i 0.172431 0.298660i
\(738\) 4.09081 16.6781i 0.150585 0.613928i
\(739\) −3.63252 6.29171i −0.133625 0.231444i 0.791447 0.611238i \(-0.209328\pi\)
−0.925071 + 0.379794i \(0.875995\pi\)
\(740\) 6.11573 11.7167i 0.224819 0.430716i
\(741\) −5.62959 −0.206808
\(742\) 9.66584 1.35082i 0.354844 0.0495902i
\(743\) 0.694046i 0.0254621i 0.999919 + 0.0127310i \(0.00405253\pi\)
−0.999919 + 0.0127310i \(0.995947\pi\)
\(744\) 2.16531 + 6.41350i 0.0793840 + 0.235130i
\(745\) −13.4757 + 7.78020i −0.493711 + 0.285044i
\(746\) −7.74385 + 31.5713i −0.283522 + 1.15591i
\(747\) −2.67078 1.54197i −0.0977187 0.0564179i
\(748\) −5.23793 + 0.222927i −0.191518 + 0.00815101i
\(749\) 1.33309 + 3.34359i 0.0487100 + 0.122172i
\(750\) 2.06881 + 1.98263i 0.0755423 + 0.0723956i
\(751\) −14.2883 8.24935i −0.521387 0.301023i 0.216115 0.976368i \(-0.430661\pi\)
−0.737502 + 0.675345i \(0.763995\pi\)
\(752\) 11.9130 + 17.0934i 0.434423 + 0.623332i
\(753\) −13.2996 23.0356i −0.484664 0.839463i
\(754\) 1.49805 0.435748i 0.0545556 0.0158690i
\(755\) 12.5492i 0.456712i
\(756\) −20.2080 2.06185i −0.734959 0.0749889i
\(757\) 45.3048i 1.64663i 0.567583 + 0.823316i \(0.307879\pi\)
−0.567583 + 0.823316i \(0.692121\pi\)
\(758\) −7.14803 24.5740i −0.259628 0.892569i
\(759\) −5.36352 9.28988i −0.194683 0.337201i
\(760\) −10.7815 2.16305i −0.391086 0.0784621i
\(761\) 4.16297 + 2.40349i 0.150907 + 0.0871265i 0.573552 0.819169i \(-0.305565\pi\)
−0.422645 + 0.906295i \(0.638898\pi\)
\(762\) −23.8598 + 24.8969i −0.864350 + 0.901919i
\(763\) −3.97457 + 27.3689i −0.143889 + 0.990820i
\(764\) −29.1783 + 1.24183i −1.05563 + 0.0449279i
\(765\) 2.19148 + 1.26525i 0.0792331 + 0.0457453i
\(766\) 29.5230 + 7.24144i 1.06671 + 0.261644i
\(767\) 7.52166 4.34263i 0.271592 0.156803i
\(768\) −30.4148 11.2217i −1.09750 0.404928i
\(769\) 5.47427i 0.197407i −0.995117 0.0987035i \(-0.968530\pi\)
0.995117 0.0987035i \(-0.0314695\pi\)
\(770\) 3.97130 + 1.60808i 0.143116 + 0.0579513i
\(771\) 41.3955 1.49082
\(772\) −30.1588 15.7418i −1.08544 0.566560i
\(773\) 7.14164 + 12.3697i 0.256867 + 0.444906i 0.965401 0.260770i \(-0.0839765\pi\)
−0.708534 + 0.705677i \(0.750643\pi\)