Properties

Label 280.2.bj.f.131.11
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 131.11
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.11

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37350 - 0.336893i) q^{2} +(1.75472 - 1.01309i) q^{3} +(1.77301 - 0.925446i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(2.06881 - 1.98263i) q^{6} +(-1.63843 + 2.07739i) q^{7} +(2.12345 - 1.86841i) q^{8} +(0.552704 - 0.957311i) q^{9} +O(q^{10})\) \(q+(1.37350 - 0.336893i) q^{2} +(1.75472 - 1.01309i) q^{3} +(1.77301 - 0.925446i) 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} +(-0.394992 + 1.35793i) q^{10} +(-0.572544 - 0.991675i) q^{11} +(2.17358 - 3.42012i) q^{12} -0.714654 q^{13} +(-1.55053 + 3.40527i) q^{14} +2.02618i q^{15} +(2.28710 - 3.28164i) q^{16} +(-1.98251 + 1.14460i) q^{17} +(0.436627 - 1.50107i) 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} +(1.83319 - 5.42979i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-0.981578 + 0.240762i) q^{26} +3.83879i q^{27} +(-0.982445 + 5.19950i) q^{28} -1.54366i q^{29} +(0.682607 + 2.78296i) q^{30} +(-0.590584 - 1.02292i) q^{31} +(2.03577 - 5.27785i) 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} +(-5.27936 - 1.53565i) q^{38} +(-1.25402 + 0.724009i) q^{39} +(0.556370 + 2.77317i) q^{40} +10.9848i q^{41} +(0.729087 + 7.54613i) q^{42} +10.8452 q^{43} +(-1.93286 - 1.22839i) q^{44} +(0.552704 + 0.957311i) q^{45} +(-6.27829 - 1.82621i) 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} +(-1.26709 + 0.661374i) q^{52} +(2.25895 - 1.30420i) q^{53} +(1.29326 + 5.27257i) q^{54} +1.14509 q^{55} +(0.402288 + 7.47249i) q^{56} -7.87736 q^{57} +(-0.520048 - 2.12021i) q^{58} +(10.5249 - 6.07655i) q^{59} +(1.87512 + 3.59243i) 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} +(-3.15061 - 0.916442i) q^{66} +(4.08800 + 7.08062i) q^{67} +(-2.45573 + 3.86409i) q^{68} -9.36787 q^{69} +(-2.17378 - 3.04543i) q^{70} -15.8551i q^{71} +(-0.615016 - 3.06548i) q^{72} +(-4.71396 + 2.72160i) q^{73} +(8.97377 + 2.61027i) 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} +(1.69844 + 3.62151i) q^{80} +(5.54715 + 9.60794i) q^{81} +(3.70072 + 15.0877i) q^{82} -2.78987i q^{83} +(3.54364 + 10.1190i) q^{84} -2.28920i q^{85} +(14.8958 - 3.65366i) q^{86} +(-1.56386 - 2.70869i) q^{87} +(-3.06862 - 1.03602i) 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} +(2.05743 - 7.07319i) q^{94} +(3.36692 - 1.94389i) q^{95} +(-1.77472 - 11.3236i) q^{96} +5.18530i q^{97} +(-4.53361 - 8.80036i) q^{98} -1.26579 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37350 0.336893i 0.971211 0.238220i
\(3\) 1.75472 1.01309i 1.01309 0.584908i 0.100995 0.994887i \(-0.467797\pi\)
0.912095 + 0.409979i \(0.134464\pi\)
\(4\) 1.77301 0.925446i 0.886503 0.462723i
\(5\) −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
\(10\) −0.394992 + 1.35793i −0.124907 + 0.429416i
\(11\) −0.572544 0.991675i −0.172628 0.299001i 0.766710 0.641994i \(-0.221893\pi\)
−0.939338 + 0.342993i \(0.888559\pi\)
\(12\) 2.17358 3.42012i 0.627457 0.987303i
\(13\) −0.714654 −0.198209 −0.0991047 0.995077i \(-0.531598\pi\)
−0.0991047 + 0.995077i \(0.531598\pi\)
\(14\) −1.55053 + 3.40527i −0.414397 + 0.910096i
\(15\) 2.02618i 0.523158i
\(16\) 2.28710 3.28164i 0.571775 0.820411i
\(17\) −1.98251 + 1.14460i −0.480829 + 0.277607i −0.720762 0.693183i \(-0.756208\pi\)
0.239933 + 0.970789i \(0.422875\pi\)
\(18\) 0.436627 1.50107i 0.102914 0.353805i
\(19\) −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 0.0206336 0.999787i \(-0.493432\pi\)
−0.855524 + 0.517763i \(0.826765\pi\)
\(24\) 1.83319 5.42979i 0.374199 1.10835i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −0.981578 + 0.240762i −0.192503 + 0.0472174i
\(27\) 3.83879i 0.738775i
\(28\) −0.982445 + 5.19950i −0.185665 + 0.982613i
\(29\) 1.54366i 0.286650i −0.989676 0.143325i \(-0.954221\pi\)
0.989676 0.143325i \(-0.0457794\pi\)
\(30\) 0.682607 + 2.78296i 0.124626 + 0.508097i
\(31\) −0.590584 1.02292i −0.106072 0.183722i 0.808104 0.589040i \(-0.200494\pi\)
−0.914176 + 0.405318i \(0.867161\pi\)
\(32\) 2.03577 5.27785i 0.359876 0.933000i
\(33\) −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 0.890231 0.455510i \(-0.150543\pi\)
0.0506326 + 0.998717i \(0.483876\pi\)
\(38\) −5.27936 1.53565i −0.856424 0.249115i
\(39\) −1.25402 + 0.724009i −0.200804 + 0.115934i
\(40\) 0.556370 + 2.77317i 0.0879699 + 0.438476i
\(41\) 10.9848i 1.71555i 0.514029 + 0.857773i \(0.328152\pi\)
−0.514029 + 0.857773i \(0.671848\pi\)
\(42\) 0.729087 + 7.54613i 0.112501 + 1.16439i
\(43\) 10.8452 1.65387 0.826935 0.562297i \(-0.190082\pi\)
0.826935 + 0.562297i \(0.190082\pi\)
\(44\) −1.93286 1.22839i −0.291390 0.185186i
\(45\) 0.552704 + 0.957311i 0.0823922 + 0.142708i
\(46\) −6.27829 1.82621i −0.925683 0.269260i
\(47\) 2.60440 4.51095i 0.379890 0.657989i −0.611156 0.791510i \(-0.709295\pi\)
0.991046 + 0.133521i \(0.0426285\pi\)
\(48\) 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
\(52\) −1.26709 + 0.661374i −0.175713 + 0.0917161i
\(53\) 2.25895 1.30420i 0.310290 0.179146i −0.336766 0.941588i \(-0.609333\pi\)
0.647056 + 0.762442i \(0.276000\pi\)
\(54\) 1.29326 + 5.27257i 0.175991 + 0.717506i
\(55\) 1.14509 0.154404
\(56\) 0.402288 + 7.47249i 0.0537580 + 0.998554i
\(57\) −7.87736 −1.04338
\(58\) −0.520048 2.12021i −0.0682856 0.278398i
\(59\) 10.5249 6.07655i 1.37023 0.791100i 0.379269 0.925286i \(-0.376176\pi\)
0.990956 + 0.134187i \(0.0428422\pi\)
\(60\) 1.87512 + 3.59243i 0.242077 + 0.463781i
\(61\) −7.13513 + 12.3584i −0.913559 + 1.58233i −0.104563 + 0.994518i \(0.533344\pi\)
−0.808997 + 0.587813i \(0.799989\pi\)
\(62\) −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
\(66\) −3.15061 0.916442i −0.387814 0.112806i
\(67\) 4.08800 + 7.08062i 0.499429 + 0.865036i 1.00000 0.000659524i \(-0.000209933\pi\)
−0.500571 + 0.865695i \(0.666877\pi\)
\(68\) −2.45573 + 3.86409i −0.297801 + 0.468590i
\(69\) −9.36787 −1.12776
\(70\) −2.17378 3.04543i −0.259817 0.363999i
\(71\) 15.8551i 1.88166i −0.338881 0.940829i \(-0.610048\pi\)
0.338881 0.940829i \(-0.389952\pi\)
\(72\) −0.615016 3.06548i −0.0724804 0.361270i
\(73\) −4.71396 + 2.72160i −0.551727 + 0.318540i −0.749818 0.661644i \(-0.769859\pi\)
0.198091 + 0.980184i \(0.436526\pi\)
\(74\) 8.97377 + 2.61027i 1.04318 + 0.303438i
\(75\) −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 −0.0381347 0.999273i \(-0.512142\pi\)
−0.884463 + 0.466611i \(0.845475\pi\)
\(80\) 1.69844 + 3.62151i 0.189891 + 0.404897i
\(81\) 5.54715 + 9.60794i 0.616350 + 1.06755i
\(82\) 3.70072 + 15.0877i 0.408676 + 1.66616i
\(83\) 2.78987i 0.306229i −0.988208 0.153114i \(-0.951070\pi\)
0.988208 0.153114i \(-0.0489303\pi\)
\(84\) 3.54364 + 10.1190i 0.386643 + 1.10407i
\(85\) 2.28920i 0.248299i
\(86\) 14.8958 3.65366i 1.60626 0.393984i
\(87\) −1.56386 2.70869i −0.167664 0.290402i
\(88\) −3.06862 1.03602i −0.327117 0.110440i
\(89\) −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
\(94\) 2.05743 7.07319i 0.212208 0.729544i
\(95\) 3.36692 1.94389i 0.345439 0.199439i
\(96\) −1.77472 11.3236i −0.181132 1.15571i
\(97\) 5.18530i 0.526487i 0.964729 + 0.263244i \(0.0847923\pi\)
−0.964729 + 0.263244i \(0.915208\pi\)
\(98\) −4.53361 8.80036i −0.457964 0.888971i
\(99\) −1.26579 −0.127216
\(100\) −1.68796 1.07275i −0.168796 0.107275i
\(101\) 0.506008 + 0.876431i 0.0503497 + 0.0872082i 0.890102 0.455762i \(-0.150633\pi\)
−0.839752 + 0.542970i \(0.817300\pi\)
\(102\) −1.83211 + 6.29855i −0.181406 + 0.623650i
\(103\) −1.22006 + 2.11321i −0.120217 + 0.208221i −0.919853 0.392263i \(-0.871692\pi\)
0.799636 + 0.600484i \(0.205026\pi\)
\(104\) −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 \(0.187615\pi\)
\(108\) 3.55259 + 6.80619i 0.341848 + 0.654926i
\(109\) 9.05255 5.22649i 0.867077 0.500607i 0.000700983 1.00000i \(-0.499777\pi\)
0.866376 + 0.499393i \(0.166444\pi\)
\(110\) 1.57278 0.385772i 0.149958 0.0367819i
\(111\) 13.3898 1.27091
\(112\) 3.06998 + 10.1279i 0.290085 + 0.957001i
\(113\) −7.83586 −0.737135 −0.368568 0.929601i \(-0.620152\pi\)
−0.368568 + 0.929601i \(0.620152\pi\)
\(114\) −10.8196 + 2.65383i −1.01334 + 0.248554i
\(115\) 4.00399 2.31171i 0.373374 0.215568i
\(116\) −1.42857 2.73691i −0.132640 0.254116i
\(117\) −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
\(122\) −5.63664 + 19.3780i −0.510317 + 1.75441i
\(123\) 11.1286 + 19.2754i 1.00344 + 1.73800i
\(124\) −1.99377 1.26709i −0.179046 0.113788i
\(125\) 1.00000 0.0894427
\(126\) 2.40292 + 3.36645i 0.214069 + 0.299907i
\(127\) 12.0344i 1.06788i 0.845522 + 0.533940i \(0.179289\pi\)
−0.845522 + 0.533940i \(0.820711\pi\)
\(128\) −1.27493 11.2416i −0.112689 0.993630i
\(129\) 19.0302 10.9871i 1.67552 0.967362i
\(130\) 0.282283 0.970452i 0.0247578 0.0851143i
\(131\) −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
\(136\) −2.07116 + 6.13465i −0.177601 + 0.526042i
\(137\) 2.37459 + 4.11290i 0.202875 + 0.351389i 0.949453 0.313908i \(-0.101638\pi\)
−0.746579 + 0.665297i \(0.768305\pi\)
\(138\) −12.8668 + 3.15597i −1.09529 + 0.268654i
\(139\) 10.9812i 0.931416i −0.884938 0.465708i \(-0.845800\pi\)
0.884938 0.465708i \(-0.154200\pi\)
\(140\) −4.01168 3.45057i −0.339049 0.291627i
\(141\) 10.5540i 0.888803i
\(142\) −5.34149 21.7770i −0.448248 1.82749i
\(143\) 0.409171 + 0.708704i 0.0342166 + 0.0592648i
\(144\) −1.87746 4.00324i −0.156455 0.333603i
\(145\) 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 0.937261 0.348627i \(-0.113352\pi\)
0.166711 + 0.986006i \(0.446685\pi\)
\(150\) −2.75142 0.800325i −0.224652 0.0653463i
\(151\) 10.8679 6.27460i 0.884419 0.510620i 0.0123061 0.999924i \(-0.496083\pi\)
0.872113 + 0.489305i \(0.162749\pi\)
\(152\) −10.7815 + 2.16305i −0.874494 + 0.175447i
\(153\) 2.53050i 0.204579i
\(154\) 4.26466 0.412040i 0.343656 0.0332032i
\(155\) 1.18117 0.0948737
\(156\) −1.55335 + 2.44420i −0.124368 + 0.195693i
\(157\) 3.83150 + 6.63634i 0.305787 + 0.529638i 0.977436 0.211231i \(-0.0677473\pi\)
−0.671650 + 0.740869i \(0.734414\pi\)
\(158\) −12.8580 3.74010i −1.02293 0.297547i
\(159\) 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 \(0.878281\pi\)
\(164\) 10.1659 + 19.4762i 0.793822 + 1.52084i
\(165\) 2.00931 1.16008i 0.156425 0.0903118i
\(166\) −0.939890 3.83189i −0.0729496 0.297413i
\(167\) 6.77446 0.524224 0.262112 0.965037i \(-0.415581\pi\)
0.262112 + 0.965037i \(0.415581\pi\)
\(168\) 8.27622 + 12.7046i 0.638524 + 0.980182i
\(169\) −12.4893 −0.960713
\(170\) −0.771217 3.14422i −0.0591497 0.241151i
\(171\) −3.72182 + 2.14880i −0.284615 + 0.164322i
\(172\) 19.2285 10.0366i 1.46616 0.765284i
\(173\) 8.70160 15.0716i 0.661570 1.14587i −0.318633 0.947878i \(-0.603224\pi\)
0.980203 0.197995i \(-0.0634429\pi\)
\(174\) −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
\(178\) −17.3299 5.04087i −1.29893 0.377829i
\(179\) −7.66373 13.2740i −0.572814 0.992143i −0.996275 0.0862291i \(-0.972518\pi\)
0.423461 0.905914i \(-0.360815\pi\)
\(180\) 1.86589 + 1.18582i 0.139075 + 0.0883858i
\(181\) 3.10021 0.230437 0.115218 0.993340i \(-0.463243\pi\)
0.115218 + 0.993340i \(0.463243\pi\)
\(182\) 1.10809 2.43359i 0.0821374 0.180390i
\(183\) 28.9141i 2.13739i
\(184\) −12.8215 + 2.57233i −0.945213 + 0.189635i
\(185\) −5.72305 + 3.30420i −0.420767 + 0.242930i
\(186\) −3.24988 0.945318i −0.238293 0.0693141i
\(187\) 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 −0.0329865 0.999456i \(-0.510502\pi\)
−0.882047 + 0.471161i \(0.843835\pi\)
\(192\) −6.25242 14.9550i −0.451230 1.07929i
\(193\) 8.50498 + 14.7311i 0.612202 + 1.06037i 0.990868 + 0.134832i \(0.0430494\pi\)
−0.378666 + 0.925533i \(0.623617\pi\)
\(194\) 1.74689 + 7.12201i 0.125420 + 0.511331i
\(195\) 1.44802i 0.103695i
\(196\) −9.19170 10.5600i −0.656550 0.754283i
\(197\) 15.2341i 1.08538i −0.839932 0.542692i \(-0.817405\pi\)
0.839932 0.542692i \(-0.182595\pi\)
\(198\) −1.73856 + 0.426436i −0.123554 + 0.0303055i
\(199\) 8.02143 + 13.8935i 0.568624 + 0.984886i 0.996702 + 0.0811444i \(0.0258575\pi\)
−0.428078 + 0.903742i \(0.640809\pi\)
\(200\) −2.67982 0.904752i −0.189492 0.0639756i
\(201\) 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
\(206\) −0.963831 + 3.31353i −0.0671533 + 0.230865i
\(207\) −4.42605 + 2.55538i −0.307632 + 0.177611i
\(208\) −1.63449 + 2.34524i −0.113331 + 0.162613i
\(209\) 4.45186i 0.307941i
\(210\) −6.89969 3.14166i −0.476124 0.216795i
\(211\) −5.85788 −0.403273 −0.201637 0.979460i \(-0.564626\pi\)
−0.201637 + 0.979460i \(0.564626\pi\)
\(212\) 2.79816 4.40290i 0.192178 0.302392i
\(213\) −16.0627 27.8214i −1.10060 1.90629i
\(214\) −0.537387 + 1.84747i −0.0367350 + 0.126290i
\(215\) −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
\(220\) 2.03025 1.05972i 0.136879 0.0714461i
\(221\) 1.41681 0.817994i 0.0953048 0.0550243i
\(222\) 18.3909 4.51094i 1.23432 0.302755i
\(223\) 12.3268 0.825465 0.412732 0.910852i \(-0.364574\pi\)
0.412732 + 0.910852i \(0.364574\pi\)
\(224\) 7.62865 + 12.8765i 0.509711 + 0.860346i
\(225\) −1.10541 −0.0736938
\(226\) −10.7625 + 2.63985i −0.715914 + 0.175600i
\(227\) 6.79256 3.92168i 0.450838 0.260291i −0.257346 0.966319i \(-0.582848\pi\)
0.708184 + 0.706028i \(0.249515\pi\)
\(228\) −13.9666 + 7.29007i −0.924961 + 0.482797i
\(229\) −7.70634 + 13.3478i −0.509249 + 0.882046i 0.490693 + 0.871332i \(0.336744\pi\)
−0.999943 + 0.0107133i \(0.996590\pi\)
\(230\) 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 \(0.286888\pi\)
\(234\) −0.312037 + 1.07275i −0.0203985 + 0.0701276i
\(235\) 2.60440 + 4.51095i 0.169892 + 0.294262i
\(236\) 13.0372 20.5140i 0.848648 1.33535i
\(237\) −19.1855 −1.24623
\(238\) −0.823732 8.52571i −0.0533946 0.552640i
\(239\) 14.1518i 0.915404i 0.889106 + 0.457702i \(0.151327\pi\)
−0.889106 + 0.457702i \(0.848673\pi\)
\(240\) 6.64920 + 4.63408i 0.429204 + 0.299128i
\(241\) 17.9056 10.3378i 1.15340 0.665915i 0.203685 0.979036i \(-0.434708\pi\)
0.949713 + 0.313121i \(0.101375\pi\)
\(242\) 3.82699 13.1567i 0.246008 0.845745i
\(243\) 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
\(248\) −3.16531 1.06866i −0.200998 0.0678602i
\(249\) −2.82640 4.89546i −0.179116 0.310237i
\(250\) 1.37350 0.336893i 0.0868678 0.0213070i
\(251\) 13.1277i 0.828616i −0.910137 0.414308i \(-0.864024\pi\)
0.910137 0.414308i \(-0.135976\pi\)
\(252\) 4.43454 + 3.81429i 0.279350 + 0.240278i
\(253\) 5.29421i 0.332844i
\(254\) 4.05431 + 16.5293i 0.254390 + 1.03714i
\(255\) −2.31917 4.01692i −0.145232 0.251549i
\(256\) −5.53835 15.0109i −0.346147 0.938180i
\(257\) 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
\(262\) −28.0813 8.16823i −1.73487 0.504635i
\(263\) −27.1210 + 15.6583i −1.67235 + 0.965532i −0.706034 + 0.708178i \(0.749517\pi\)
−0.966317 + 0.257355i \(0.917149\pi\)
\(264\) −6.43417 + 1.29086i −0.395996 + 0.0794472i
\(265\) 2.60841i 0.160233i
\(266\) 11.8400 8.45120i 0.725957 0.518177i
\(267\) −25.8580 −1.58248
\(268\) 13.8008 + 8.77076i 0.843017 + 0.535760i
\(269\) −0.435079 0.753580i −0.0265273 0.0459466i 0.852457 0.522797i \(-0.175112\pi\)
−0.878984 + 0.476851i \(0.841778\pi\)
\(270\) −5.21281 1.51629i −0.317242 0.0922785i
\(271\) −15.6655 + 27.1335i −0.951614 + 1.64824i −0.209682 + 0.977770i \(0.567243\pi\)
−0.741932 + 0.670475i \(0.766090\pi\)
\(272\) −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
\(276\) −16.6093 + 8.66946i −0.999762 + 0.521840i
\(277\) −24.3707 + 14.0705i −1.46430 + 0.845412i −0.999206 0.0398511i \(-0.987312\pi\)
−0.465091 + 0.885263i \(0.653978\pi\)
\(278\) −3.69950 15.0827i −0.221881 0.904602i
\(279\) −1.30567 −0.0781685
\(280\) −6.67251 3.38785i −0.398759 0.202463i
\(281\) −22.1338 −1.32039 −0.660195 0.751094i \(-0.729527\pi\)
−0.660195 + 0.751094i \(0.729527\pi\)
\(282\) −3.55556 14.4959i −0.211730 0.863216i
\(283\) −2.28363 + 1.31845i −0.135748 + 0.0783739i −0.566336 0.824175i \(-0.691639\pi\)
0.430588 + 0.902548i \(0.358306\pi\)
\(284\) −14.6731 28.1113i −0.870687 1.66810i
\(285\) 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
\(290\) 2.09618 + 0.609732i 0.123092 + 0.0358047i
\(291\) 5.25318 + 9.09877i 0.307947 + 0.533379i
\(292\) −5.83917 + 9.18793i −0.341712 + 0.537683i
\(293\) −9.78791 −0.571816 −0.285908 0.958257i \(-0.592295\pi\)
−0.285908 + 0.958257i \(0.592295\pi\)
\(294\) −16.8708 10.8492i −0.983925 0.632741i
\(295\) 12.1531i 0.707581i
\(296\) 18.3262 3.67672i 1.06519 0.213705i
\(297\) 3.80683 2.19787i 0.220894 0.127533i
\(298\) 21.1300 + 6.14623i 1.22403 + 0.356042i
\(299\) 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
\(304\) −14.0797 + 6.60316i −0.807524 + 0.378717i
\(305\) −7.13513 12.3584i −0.408556 0.707640i
\(306\) 0.852509 + 3.47565i 0.0487347 + 0.198689i
\(307\) 10.6770i 0.609367i −0.952454 0.304683i \(-0.901449\pi\)
0.952454 0.304683i \(-0.0985506\pi\)
\(308\) 5.71870 2.00267i 0.325853 0.114113i
\(309\) 4.94414i 0.281262i
\(310\) 1.62233 0.397927i 0.0921424 0.0226008i
\(311\) −4.23321 7.33214i −0.240043 0.415767i 0.720683 0.693265i \(-0.243828\pi\)
−0.960726 + 0.277497i \(0.910495\pi\)
\(312\) −1.31010 + 3.88043i −0.0741697 + 0.219686i
\(313\) −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 0.778097 0.628144i \(-0.216185\pi\)
−0.154940 + 0.987924i \(0.549518\pi\)
\(318\) 2.08757 7.17682i 0.117065 0.402456i
\(319\) −1.53081 + 0.883811i −0.0857087 + 0.0494839i
\(320\) 6.36285 + 4.84914i 0.355694 + 0.271075i
\(321\) 2.75662i 0.153860i
\(322\) 14.0803 10.0503i 0.784665 0.560081i
\(323\) 8.89994 0.495206
\(324\) 18.7268 + 11.9014i 1.04038 + 0.661186i
\(325\) 0.357327 + 0.618909i 0.0198209 + 0.0343309i
\(326\) −7.93793 + 27.2896i −0.439641 + 1.51143i
\(327\) 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 \(0.957573\pi\)
\(332\) −2.58188 4.94646i −0.141699 0.271472i
\(333\) 6.32630 3.65249i 0.346679 0.200155i
\(334\) 9.30473 2.28227i 0.509132 0.124880i
\(335\) −8.17600 −0.446703
\(336\) 15.6475 + 14.6616i 0.853640 + 0.799855i
\(337\) 14.9570 0.814761 0.407381 0.913258i \(-0.366442\pi\)
0.407381 + 0.913258i \(0.366442\pi\)
\(338\) −17.1540 + 4.20755i −0.933055 + 0.228861i
\(339\) −13.7498 + 7.93843i −0.746785 + 0.431156i
\(340\) −2.11853 4.05877i −0.114894 0.220118i
\(341\) −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
\(346\) 6.87412 23.6324i 0.369555 1.27048i
\(347\) 8.51734 + 14.7525i 0.457235 + 0.791954i 0.998814 0.0486962i \(-0.0155066\pi\)
−0.541579 + 0.840650i \(0.682173\pi\)
\(348\) −5.27949 3.35526i −0.283010 0.179861i
\(349\) 1.40440 0.0751760 0.0375880 0.999293i \(-0.488033\pi\)
0.0375880 + 0.999293i \(0.488033\pi\)
\(350\) 3.72431 0.359833i 0.199073 0.0192339i
\(351\) 2.74340i 0.146432i
\(352\) −6.39947 + 1.00298i −0.341093 + 0.0534589i
\(353\) 11.0830 6.39876i 0.589887 0.340572i −0.175166 0.984539i \(-0.556046\pi\)
0.765053 + 0.643967i \(0.222713\pi\)
\(354\) 9.72643 33.4383i 0.516954 1.77722i
\(355\) 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 0.633056 0.774106i \(-0.281800\pi\)
−0.353867 + 0.935296i \(0.615134\pi\)
\(360\) 2.96229 + 1.00012i 0.156126 + 0.0527110i
\(361\) −1.94255 3.36460i −0.102240 0.177084i
\(362\) 4.25814 1.04444i 0.223803 0.0548945i
\(363\) 19.6312i 1.03037i
\(364\) 0.702108 3.71584i 0.0368005 0.194763i
\(365\) 5.44321i 0.284910i
\(366\) 9.74097 + 39.7135i 0.509169 + 2.07586i
\(367\) −4.55727 7.89342i −0.237888 0.412033i 0.722220 0.691663i \(-0.243122\pi\)
−0.960108 + 0.279630i \(0.909788\pi\)
\(368\) −16.7437 + 7.85258i −0.872827 + 0.409344i
\(369\) 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 0.917191 0.398448i \(-0.130451\pi\)
0.113529 + 0.993535i \(0.463785\pi\)
\(374\) 3.55960 + 1.03541i 0.184063 + 0.0535396i
\(375\) 1.75472 1.01309i 0.0906135 0.0523158i
\(376\) −2.89802 14.4448i −0.149454 0.744936i
\(377\) 1.10318i 0.0568167i
\(378\) −13.0721 5.95216i −0.672356 0.306146i
\(379\) 18.0966 0.929562 0.464781 0.885426i \(-0.346133\pi\)
0.464781 + 0.885426i \(0.346133\pi\)
\(380\) 4.17061 6.56244i 0.213948 0.336646i
\(381\) 12.1919 + 21.1170i 0.624612 + 1.08186i
\(382\) −19.8290 5.76782i −1.01454 0.295107i
\(383\) 10.7474 18.6150i 0.549165 0.951182i −0.449167 0.893448i \(-0.648279\pi\)
0.998332 0.0577341i \(-0.0183876\pi\)
\(384\) −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
\(388\) 4.79872 + 9.19357i 0.243618 + 0.466733i
\(389\) 2.38186 1.37517i 0.120765 0.0697238i −0.438401 0.898780i \(-0.644455\pi\)
0.559166 + 0.829056i \(0.311122\pi\)
\(390\) −0.487828 1.98885i −0.0247021 0.100710i
\(391\) 10.5839 0.535253
\(392\) −16.1824 11.4075i −0.817333 0.576165i
\(393\) −41.9004 −2.11359
\(394\) −5.13226 20.9240i −0.258560 1.05414i
\(395\) 8.20023 4.73440i 0.412598 0.238214i
\(396\) −2.24425 + 1.17142i −0.112778 + 0.0588660i
\(397\) 7.62990 13.2154i 0.382934 0.663260i −0.608547 0.793518i \(-0.708247\pi\)
0.991480 + 0.130258i \(0.0415805\pi\)
\(398\) 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 \(0.100072\pi\)
\(402\) 22.4956 + 6.54346i 1.12198 + 0.326358i
\(403\) 0.422063 + 0.731035i 0.0210245 + 0.0364154i
\(404\) 1.70824 + 1.08563i 0.0849883 + 0.0540123i
\(405\) −11.0943 −0.551280
\(406\) 5.25657 + 2.39349i 0.260879 + 0.118787i
\(407\) 7.56720i 0.375092i
\(408\) 2.58063 + 12.8629i 0.127760 + 0.636808i
\(409\) 23.3269 13.4678i 1.15344 0.665941i 0.203719 0.979029i \(-0.434697\pi\)
0.949724 + 0.313089i \(0.101364\pi\)
\(410\) −14.9167 4.33893i −0.736683 0.214284i
\(411\) 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
\(416\) −1.45487 + 3.77183i −0.0713309 + 0.184929i
\(417\) −11.1250 19.2690i −0.544793 0.943608i
\(418\) 1.49980 + 6.11463i 0.0733576 + 0.299076i
\(419\) 8.97603i 0.438508i 0.975668 + 0.219254i \(0.0703623\pi\)
−0.975668 + 0.219254i \(0.929638\pi\)
\(420\) −10.5351 1.99061i −0.514062 0.0971319i
\(421\) 13.4720i 0.656583i −0.944576 0.328292i \(-0.893527\pi\)
0.944576 0.328292i \(-0.106473\pi\)
\(422\) −8.04581 + 1.97348i −0.391664 + 0.0960676i
\(423\) −2.87892 4.98643i −0.139978 0.242449i
\(424\) 2.35996 6.99006i 0.114610 0.339467i
\(425\) 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
\(430\) −4.28375 + 14.7270i −0.206581 + 0.710198i
\(431\) −20.5363 + 11.8567i −0.989200 + 0.571115i −0.905035 0.425337i \(-0.860156\pi\)
−0.0841648 + 0.996452i \(0.526822\pi\)
\(432\) 12.5975 + 8.77968i 0.606099 + 0.422413i
\(433\) 18.5650i 0.892178i −0.894989 0.446089i \(-0.852817\pi\)
0.894989 0.446089i \(-0.147183\pi\)
\(434\) 4.39904 0.425023i 0.211161 0.0204018i
\(435\) 3.12773 0.149963
\(436\) 11.2134 17.6442i 0.537024 0.845006i
\(437\) 8.98743 + 15.5667i 0.429927 + 0.744656i
\(438\) −4.35633 + 14.9765i −0.208154 + 0.715606i
\(439\) 3.44704 5.97045i 0.164518 0.284954i −0.771966 0.635664i \(-0.780726\pi\)
0.936484 + 0.350710i \(0.114060\pi\)
\(440\) 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 \(-0.0672646\pi\)
\(444\) 23.7402 12.3916i 1.12666 0.588078i
\(445\) 11.0522 6.38097i 0.523923 0.302487i
\(446\) 16.9309 4.15282i 0.801701 0.196642i
\(447\) 31.5282 1.49123
\(448\) 14.8160 + 15.1158i 0.699988 + 0.714155i
\(449\) 1.93651 0.0913896 0.0456948 0.998955i \(-0.485450\pi\)
0.0456948 + 0.998955i \(0.485450\pi\)
\(450\) −1.51828 + 0.372404i −0.0715723 + 0.0175553i
\(451\) 10.8934 6.28930i 0.512950 0.296152i
\(452\) −13.8930 + 7.25166i −0.653473 + 0.341089i
\(453\) 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 \(0.864621\pi\)
\(458\) −6.08789 + 20.9294i −0.284468 + 0.977966i
\(459\) −4.39388 7.61043i −0.205089 0.355224i
\(460\) 4.95975 7.80415i 0.231249 0.363870i
\(461\) 29.3117 1.36518 0.682590 0.730802i \(-0.260854\pi\)
0.682590 + 0.730802i \(0.260854\pi\)
\(462\) 7.06587 5.04351i 0.328734 0.234645i
\(463\) 9.47208i 0.440205i 0.975477 + 0.220102i \(0.0706391\pi\)
−0.975477 + 0.220102i \(0.929361\pi\)
\(464\) −5.06573 3.53050i −0.235171 0.163899i
\(465\) 2.07262 1.19663i 0.0961156 0.0554924i
\(466\) −4.44686 + 15.2877i −0.205997 + 0.708191i
\(467\) 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
\(472\) 10.9955 32.5681i 0.506111 1.49907i
\(473\) −6.20932 10.7549i −0.285505 0.494509i
\(474\) −26.3513 + 6.46347i −1.21036 + 0.296877i
\(475\) 3.88779i 0.178384i
\(476\) −4.00365 11.4326i −0.183507 0.524011i
\(477\) 2.88335i 0.132020i
\(478\) 4.76764 + 19.4375i 0.218067 + 0.889050i
\(479\) 9.96246 + 17.2555i 0.455197 + 0.788424i 0.998699 0.0509837i \(-0.0162357\pi\)
−0.543503 + 0.839407i \(0.682902\pi\)
\(480\) 10.6939 + 4.12483i 0.488106 + 0.188272i
\(481\) −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
\(486\) 14.8866 + 4.33017i 0.675270 + 0.196421i
\(487\) 23.4025 13.5114i 1.06047 0.612261i 0.134906 0.990858i \(-0.456927\pi\)
0.925562 + 0.378597i \(0.123593\pi\)
\(488\) 7.93955 + 39.5738i 0.359406 + 1.79142i
\(489\) 40.7190i 1.84138i
\(490\) 9.88814 + 0.473960i 0.446701 + 0.0214113i
\(491\) 0.454409 0.0205072 0.0102536 0.999947i \(-0.496736\pi\)
0.0102536 + 0.999947i \(0.496736\pi\)
\(492\) 37.5695 + 23.8764i 1.69376 + 1.07643i
\(493\) 1.76687 + 3.06031i 0.0795760 + 0.137830i
\(494\) 3.77291 + 1.09746i 0.169751 + 0.0493768i
\(495\) 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 \(0.228212\pi\)
\(500\) 1.77301 0.925446i 0.0792912 0.0413872i
\(501\) 11.8873 6.86314i 0.531086 0.306623i
\(502\) −4.42265 18.0310i −0.197392 0.804761i
\(503\) −43.3946 −1.93487 −0.967434 0.253123i \(-0.918542\pi\)
−0.967434 + 0.253123i \(0.918542\pi\)
\(504\) 7.37585 + 3.74496i 0.328546 + 0.166814i
\(505\) −1.01202 −0.0450341
\(506\) 1.78358 + 7.27160i 0.0792900 + 0.323262i
\(507\) −21.9152 + 12.6528i −0.973289 + 0.561929i
\(508\) 11.1372 + 21.3371i 0.494133 + 0.946679i
\(509\) 11.5209 19.9548i 0.510654 0.884479i −0.489270 0.872133i \(-0.662737\pi\)
0.999924 0.0123465i \(-0.00393010\pi\)
\(510\) −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
\(514\) 27.7430 + 8.06982i 1.22369 + 0.355944i
\(515\) −1.22006 2.11321i −0.0537625 0.0931193i
\(516\) 23.5728 37.0917i 1.03773 1.63287i
\(517\) −5.96452 −0.262319
\(518\) −20.1255 + 14.3652i −0.884263 + 0.631172i
\(519\) 35.2620i 1.54783i
\(520\) −0.397613 1.98186i −0.0174365 0.0869101i
\(521\) −36.5041 + 21.0756i −1.59927 + 0.923340i −0.607644 + 0.794209i \(0.707885\pi\)
−0.991628 + 0.129130i \(0.958781\pi\)
\(522\) −2.31714 0.674003i −0.101418 0.0295003i
\(523\) −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
\(528\) −8.40245 + 3.94063i −0.365670 + 0.171494i
\(529\) −0.812016 1.40645i −0.0353051 0.0611501i
\(530\) 0.878755 + 3.58265i 0.0381707 + 0.155620i
\(531\) 13.4341i 0.582992i
\(532\) 13.4151 15.5965i 0.581618 0.676196i
\(533\) 7.85037i 0.340037i
\(534\) −35.5160 + 8.71139i −1.53693 + 0.376979i
\(535\) −0.680251 1.17823i −0.0294098 0.0509393i
\(536\) 21.9102 + 7.39725i 0.946376 + 0.319513i
\(537\) −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 −0.0474025 0.998876i \(-0.515094\pi\)
−0.888753 + 0.458386i \(0.848428\pi\)
\(542\) −12.3755 + 42.5455i −0.531575 + 1.82749i
\(543\) 5.44001 3.14079i 0.233453 0.134784i
\(544\) 2.00510 + 12.7935i 0.0859681 + 0.548517i
\(545\) 10.4530i 0.447756i
\(546\) −0.521045 5.39288i −0.0222987 0.230794i
\(547\) 4.35086 0.186030 0.0930148 0.995665i \(-0.470350\pi\)
0.0930148 + 0.995665i \(0.470350\pi\)
\(548\) 8.01643 + 5.09465i 0.342445 + 0.217633i
\(549\) 7.88722 + 13.6611i 0.336619 + 0.583040i
\(550\) −0.452300 + 1.55495i −0.0192861 + 0.0663033i
\(551\) −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
\(556\) −10.1625 19.4698i −0.430988 0.825703i
\(557\) −22.5821 + 13.0378i −0.956833 + 0.552428i −0.895197 0.445671i \(-0.852965\pi\)
−0.0616365 + 0.998099i \(0.519632\pi\)
\(558\) −1.79334 + 0.439872i −0.0759182 + 0.0186213i
\(559\) −7.75053 −0.327813
\(560\) −10.3060 2.40529i −0.435510 0.101642i
\(561\) 5.31130 0.224243
\(562\) −30.4008 + 7.45672i −1.28238 + 0.314543i
\(563\) −15.6768 + 9.05099i −0.660697 + 0.381454i −0.792542 0.609817i \(-0.791243\pi\)
0.131845 + 0.991270i \(0.457910\pi\)
\(564\) −9.76711 18.7122i −0.411270 0.787926i
\(565\) 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 \(0.992309\pi\)
\(570\) 3.11149 10.6969i 0.130326 0.448045i
\(571\) −2.25668 3.90869i −0.0944392 0.163574i 0.814935 0.579552i \(-0.196772\pi\)
−0.909374 + 0.415979i \(0.863439\pi\)
\(572\) 1.38133 + 0.877872i 0.0577563 + 0.0367057i
\(573\) −29.5870 −1.23602
\(574\) −37.4064 17.0324i −1.56131 0.710917i
\(575\) 4.62342i 0.192810i
\(576\) −7.03354 5.36028i −0.293064 0.223345i
\(577\) −20.3993 + 11.7776i −0.849235 + 0.490306i −0.860393 0.509632i \(-0.829782\pi\)
0.0111579 + 0.999938i \(0.496448\pi\)
\(578\) −4.64493 + 15.9687i −0.193203 + 0.664209i
\(579\) 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
\(584\) −4.92475 + 14.5868i −0.203788 + 0.603606i
\(585\) −0.394992 0.684146i −0.0163309 0.0282860i
\(586\) −13.4437 + 3.29748i −0.555354 + 0.136218i
\(587\) 3.48482i 0.143834i 0.997411 + 0.0719170i \(0.0229117\pi\)
−0.997411 + 0.0719170i \(0.977088\pi\)
\(588\) −26.8271 9.21779i −1.10633 0.380135i
\(589\) 4.59213i 0.189215i
\(590\) 4.09430 + 16.6923i 0.168560 + 0.687211i
\(591\) −15.4335 26.7316i −0.634850 1.09959i
\(592\) 23.9324 11.2240i 0.983616 0.461302i
\(593\) −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
\(598\) 4.48680 + 1.30511i 0.183479 + 0.0533699i
\(599\) −12.0329 + 6.94719i −0.491650 + 0.283855i −0.725259 0.688476i \(-0.758280\pi\)
0.233608 + 0.972331i \(0.424947\pi\)
\(600\) −5.61894 + 1.12731i −0.229392 + 0.0460221i
\(601\) 18.8327i 0.768200i −0.923291 0.384100i \(-0.874512\pi\)
0.923291 0.384100i \(-0.125488\pi\)
\(602\) −16.8158 + 36.9306i −0.685359 + 1.50518i
\(603\) 9.03781 0.368048
\(604\) 13.4621 21.1826i 0.547765 0.861907i
\(605\) 4.84439 + 8.39073i 0.196952 + 0.341132i
\(606\) 2.78448 + 0.809941i 0.113112 + 0.0329016i
\(607\) −12.1505 + 21.0453i −0.493175 + 0.854204i −0.999969 0.00786319i \(-0.997497\pi\)
0.506794 + 0.862067i \(0.330830\pi\)
\(608\) −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
\(612\) 2.34184 + 4.48660i 0.0946634 + 0.181360i
\(613\) 16.2648 9.39048i 0.656929 0.379278i −0.134177 0.990957i \(-0.542839\pi\)
0.791106 + 0.611679i \(0.209506\pi\)
\(614\) −3.59700 14.6648i −0.145163 0.591824i
\(615\) −22.2573 −0.897500
\(616\) 7.17995 4.67727i 0.289289 0.188452i
\(617\) 26.0641 1.04930 0.524651 0.851317i \(-0.324196\pi\)
0.524651 + 0.851317i \(0.324196\pi\)
\(618\) 1.66565 + 6.79078i 0.0670022 + 0.273165i
\(619\) −20.7007 + 11.9515i −0.832030 + 0.480373i −0.854547 0.519374i \(-0.826165\pi\)
0.0225171 + 0.999746i \(0.492832\pi\)
\(620\) 2.09422 1.09311i 0.0841058 0.0439002i
\(621\) 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
\(626\) −31.7421 9.23306i −1.26867 0.369027i
\(627\) 4.51013 + 7.81178i 0.180117 + 0.311972i
\(628\) 12.9348 + 8.22043i 0.516156 + 0.328031i
\(629\) −15.1280 −0.603192
\(630\) −4.11689 + 0.397762i −0.164021 + 0.0158472i
\(631\) 29.3239i 1.16736i −0.811982 0.583682i \(-0.801611\pi\)
0.811982 0.583682i \(-0.198389\pi\)
\(632\) −26.2586 + 5.26816i −1.04451 + 0.209556i
\(633\) −10.2790 + 5.93457i −0.408552 + 0.235878i
\(634\) 17.3970 + 5.06041i 0.690925 + 0.200974i
\(635\) −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
\(640\) 10.3730 + 4.51670i 0.410029 + 0.178538i
\(641\) 2.35512 + 4.07919i 0.0930217 + 0.161118i 0.908781 0.417273i \(-0.137014\pi\)
−0.815760 + 0.578391i \(0.803681\pi\)
\(642\) 0.928687 + 3.78622i 0.0366524 + 0.149430i
\(643\) 3.22266i 0.127089i 0.997979 + 0.0635446i \(0.0202405\pi\)
−0.997979 + 0.0635446i \(0.979759\pi\)
\(644\) 15.9534 18.5476i 0.628653 0.730880i
\(645\) 21.9742i 0.865235i
\(646\) 12.2241 2.99833i 0.480949 0.117968i
\(647\) 0.242759 + 0.420471i 0.00954385 + 0.0165304i 0.870758 0.491712i \(-0.163629\pi\)
−0.861214 + 0.508242i \(0.830295\pi\)
\(648\) 29.7307 + 10.0376i 1.16793 + 0.394314i
\(649\) −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 0.414485 0.910056i \(-0.363962\pi\)
−0.580889 + 0.813983i \(0.697295\pi\)
\(654\) 8.36578 28.7605i 0.327128 1.12462i
\(655\) 17.9090 10.3397i 0.699761 0.404007i
\(656\) 36.0483 + 25.1234i 1.40745 + 0.980905i
\(657\) 6.01696i 0.234744i
\(658\) 11.3228 + 15.8630i 0.441408 + 0.618405i
\(659\) 50.3794 1.96250 0.981252 0.192729i \(-0.0617337\pi\)
0.981252 + 0.192729i \(0.0617337\pi\)
\(660\) 2.48893 3.91633i 0.0968816 0.152443i
\(661\) −2.39100 4.14133i −0.0929991 0.161079i 0.815773 0.578373i \(-0.196312\pi\)
−0.908772 + 0.417294i \(0.862979\pi\)
\(662\) −8.77665 + 30.1730i −0.341114 + 1.17271i
\(663\) 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
\(668\) 12.0112 6.26940i 0.464726 0.242570i
\(669\) 21.6302 12.4882i 0.836270 0.482821i
\(670\) −11.2297 + 2.75444i −0.433843 + 0.106413i
\(671\) 16.3407 0.630825
\(672\) 26.4312 + 14.8662i 1.01961 + 0.573474i
\(673\) 27.2854 1.05177 0.525887 0.850555i \(-0.323734\pi\)
0.525887 + 0.850555i \(0.323734\pi\)
\(674\) 20.5435 5.03892i 0.791305 0.194092i
\(675\) 3.32449 1.91939i 0.127960 0.0738775i
\(676\) −22.1435 + 11.5581i −0.851675 + 0.444544i
\(677\) −21.2029 + 36.7245i −0.814893 + 1.41144i 0.0945112 + 0.995524i \(0.469871\pi\)
−0.909405 + 0.415913i \(0.863462\pi\)
\(678\) −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
\(682\) −0.534242 + 1.83666i −0.0204572 + 0.0703293i
\(683\) −22.2969 38.6193i −0.853165 1.47773i −0.878337 0.478042i \(-0.841347\pi\)
0.0251714 0.999683i \(-0.491987\pi\)
\(684\) −4.61022 + 7.25417i −0.176276 + 0.277370i
\(685\) −4.74917 −0.181457
\(686\) 25.7098 + 5.00076i 0.981604 + 0.190930i
\(687\) 31.2289i 1.19146i
\(688\) 24.8039 35.5899i 0.945641 1.35685i
\(689\) −1.61437 + 0.932055i −0.0615025 + 0.0355085i
\(690\) 3.70023 12.7209i 0.140866 0.484278i
\(691\) 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
\(696\) −8.38175 2.82982i −0.317709 0.107264i
\(697\) −12.5733 21.7776i −0.476247 0.824884i
\(698\) 1.92895 0.473134i 0.0730117 0.0179084i
\(699\) 22.8110i 0.862789i
\(700\) 4.99412 1.74893i 0.188760 0.0661033i
\(701\) 0.816220i 0.0308282i 0.999881 + 0.0154141i \(0.00490665\pi\)
−0.999881 + 0.0154141i \(0.995093\pi\)
\(702\) −0.924235 3.76807i −0.0348830 0.142217i
\(703\) −12.8460 22.2500i −0.484498 0.839175i
\(704\) −8.45178 + 3.53353i −0.318538 + 0.133175i
\(705\) 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 0.898870 0.438216i \(-0.144389\pi\)
0.0699290 + 0.997552i \(0.477723\pi\)
\(710\) 21.5302 + 6.26265i 0.808014 + 0.235033i
\(711\) −9.06459 + 5.23345i −0.339949 + 0.196270i
\(712\) −35.3910 + 7.10037i −1.32633 + 0.266098i
\(713\) 5.46103i 0.204517i
\(714\) −10.0827 14.1258i −0.377337 0.528643i
\(715\) −0.818341 −0.0306042
\(716\) −25.8722 16.4425i −0.966889 0.614484i
\(717\) 14.3370 + 24.8325i 0.535427 + 0.927386i
\(718\) 8.29455 + 2.41270i 0.309550 + 0.0900411i
\(719\) 2.37920 4.12090i 0.0887293 0.153684i −0.818245 0.574870i \(-0.805053\pi\)
0.906974 + 0.421186i \(0.138386\pi\)
\(720\) 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
\(724\) 5.49669 2.86908i 0.204283 0.106628i
\(725\) −1.33685 + 0.771829i −0.0496492 + 0.0286650i
\(726\) −6.61362 26.9635i −0.245455 1.00071i
\(727\) 14.0543 0.521246 0.260623 0.965441i \(-0.416072\pi\)
0.260623 + 0.965441i \(0.416072\pi\)
\(728\) −0.287497 5.34025i −0.0106554 0.197923i
\(729\) −11.0705 −0.410019
\(730\) −1.83378 7.47625i −0.0678712 0.276708i
\(731\) −21.5006 + 12.4134i −0.795229 + 0.459125i
\(732\) 26.7585 + 51.2649i 0.989021 + 1.89480i
\(733\) 0.785118 1.35986i 0.0289990 0.0502277i −0.851162 0.524904i \(-0.824101\pi\)
0.880161 + 0.474676i \(0.157435\pi\)
\(734\) −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
\(738\) 16.4890 + 4.79628i 0.606969 + 0.176554i
\(739\) −3.63252 6.29171i −0.133625 0.231444i 0.791447 0.611238i \(-0.209328\pi\)
−0.925071 + 0.379794i \(0.875995\pi\)
\(740\) −7.08914 + 11.1547i −0.260602 + 0.410057i
\(741\) 5.62959 0.206808
\(742\) 0.938592 + 9.71453i 0.0344568 + 0.356632i
\(743\) 0.694046i 0.0254621i −0.999919 0.0127310i \(-0.995947\pi\)
0.999919 0.0127310i \(-0.00405253\pi\)
\(744\) −6.63690 + 1.33154i −0.243321 + 0.0488166i
\(745\) −13.4757 + 7.78020i −0.493711 + 0.285044i
\(746\) 31.2135 + 9.07930i 1.14281 + 0.332417i
\(747\) −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 0.737502 0.675345i \(-0.236005\pi\)
−0.216115 + 0.976368i \(0.569339\pi\)
\(752\) −8.84680 18.8637i −0.322610 0.687887i
\(753\) −13.2996 23.0356i −0.484664 0.839463i
\(754\) 0.371654 + 1.51522i 0.0135349 + 0.0551811i
\(755\) 12.5492i 0.456712i
\(756\) −19.9598 3.77140i −0.725930 0.137164i
\(757\) 45.3048i 1.64663i −0.567583 0.823316i \(-0.692121\pi\)
0.567583 0.823316i \(-0.307879\pi\)
\(758\) 24.8558 6.09664i 0.902802 0.221440i
\(759\) 5.36352 + 9.28988i 0.194683 + 0.337201i
\(760\) 3.51749 10.4186i 0.127593 0.377921i
\(761\) 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
\(766\) 8.49025 29.1884i 0.306765 1.05462i
\(767\) −7.52166 + 4.34263i −0.271592 + 0.156803i
\(768\) −24.9257 20.7291i −0.899427 0.747997i
\(769\) 5.47427i 0.197407i −0.995117 0.0987035i \(-0.968530\pi\)
0.995117 0.0987035i \(-0.0314695\pi\)
\(770\) −1.77549 + 3.89933i −0.0639844 + 0.140522i
\(771\) 41.3955 1.49082
\(772\) 28.7122 + 18.2474i 1.03337 + 0.656737i
\(773\) −7.14164 12.3697i −0.256867 0.444906i 0.708534 0.705677i \(-0.249357\pi\)
−0.965401 + 0.260770i \(0.916024\pi\)
\(774\)