Properties

Label 770.2.o.b.549.19
Level $770$
Weight $2$
Character 770.549
Analytic conductor $6.148$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 549.19
Character \(\chi\) \(=\) 770.549
Dual form 770.2.o.b.439.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.781614 - 1.35379i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.11819 - 0.716443i) q^{5} +1.56323 q^{6} +(0.725302 + 2.54439i) q^{7} -1.00000 q^{8} +(0.278160 + 0.481787i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.781614 - 1.35379i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.11819 - 0.716443i) q^{5} +1.56323 q^{6} +(0.725302 + 2.54439i) q^{7} -1.00000 q^{8} +(0.278160 + 0.481787i) q^{9} +(-0.438635 - 2.19262i) q^{10} +(-2.06350 + 2.59653i) q^{11} +(0.781614 + 1.35379i) q^{12} -2.41576i q^{13} +(-1.84086 + 1.90033i) q^{14} +(-2.62552 + 2.30761i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(6.35472 + 3.66890i) q^{17} +(-0.278160 + 0.481787i) q^{18} +(2.89975 + 5.02252i) q^{19} +(1.67955 - 1.47618i) q^{20} +(4.01149 + 1.00682i) q^{21} +(-3.28041 - 0.488782i) q^{22} +(-7.48569 + 4.32187i) q^{23} +(-0.781614 + 1.35379i) q^{24} +(3.97342 + 3.03512i) q^{25} +(2.09211 - 1.20788i) q^{26} +5.55934 q^{27} +(-2.56616 - 0.644067i) q^{28} -4.47156i q^{29} +(-3.31121 - 1.11996i) q^{30} +(-0.862051 - 0.497705i) q^{31} +(0.500000 - 0.866025i) q^{32} +(1.90230 + 4.82304i) q^{33} +7.33780i q^{34} +(0.286589 - 5.90913i) q^{35} -0.556319 q^{36} +(3.20955 - 1.85303i) q^{37} +(-2.89975 + 5.02252i) q^{38} +(-3.27044 - 1.88819i) q^{39} +(2.11819 + 0.716443i) q^{40} -6.97297 q^{41} +(1.13381 + 3.97747i) q^{42} +6.18781 q^{43} +(-1.21691 - 3.08531i) q^{44} +(-0.244021 - 1.21980i) q^{45} +(-7.48569 - 4.32187i) q^{46} +(5.29717 + 9.17496i) q^{47} -1.56323 q^{48} +(-5.94787 + 3.69091i) q^{49} +(-0.641780 + 4.95864i) q^{50} +(9.93388 - 5.73533i) q^{51} +(2.09211 + 1.20788i) q^{52} +(1.54044 + 0.889372i) q^{53} +(2.77967 + 4.81453i) q^{54} +(6.23115 - 4.02155i) q^{55} +(-0.725302 - 2.54439i) q^{56} +9.06595 q^{57} +(3.87248 - 2.23578i) q^{58} +(-7.38314 - 4.26266i) q^{59} +(-0.685686 - 3.42757i) q^{60} +(1.71192 + 2.96514i) q^{61} -0.995411i q^{62} +(-1.02411 + 1.05719i) q^{63} +1.00000 q^{64} +(-1.73075 + 5.11702i) q^{65} +(-3.22572 + 4.05896i) q^{66} +(-9.76197 - 5.63608i) q^{67} +(-6.35472 + 3.66890i) q^{68} +13.5121i q^{69} +(5.26075 - 2.70637i) q^{70} +0.788593 q^{71} +(-0.278160 - 0.481787i) q^{72} +(8.04910 + 4.64715i) q^{73} +(3.20955 + 1.85303i) q^{74} +(7.21461 - 3.00690i) q^{75} -5.79951 q^{76} +(-8.10325 - 3.36710i) q^{77} -3.77638i q^{78} +(2.68359 - 1.54937i) q^{79} +(0.438635 + 2.19262i) q^{80} +(3.51078 - 6.08084i) q^{81} +(-3.48649 - 6.03877i) q^{82} -11.1034i q^{83} +(-2.87768 + 2.97064i) q^{84} +(-10.8319 - 12.3242i) q^{85} +(3.09391 + 5.35880i) q^{86} +(-6.05357 - 3.49503i) q^{87} +(2.06350 - 2.59653i) q^{88} +(-3.28611 + 1.89724i) q^{89} +(0.934366 - 0.821228i) q^{90} +(6.14663 - 1.75215i) q^{91} -8.64373i q^{92} +(-1.34758 + 0.778027i) q^{93} +(-5.29717 + 9.17496i) q^{94} +(-2.54387 - 12.7161i) q^{95} +(-0.781614 - 1.35379i) q^{96} +1.37580 q^{97} +(-6.17036 - 3.30556i) q^{98} +(-1.82496 - 0.271919i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 24 q^{2} - 24 q^{4} - 6 q^{5} + 4 q^{7} - 48 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 24 q^{2} - 24 q^{4} - 6 q^{5} + 4 q^{7} - 48 q^{8} - 28 q^{9} - 6 q^{10} + q^{11} + 2 q^{14} + 4 q^{15} - 24 q^{16} + 28 q^{18} + 2 q^{22} - 6 q^{26} - 2 q^{28} + 2 q^{30} + 12 q^{31} + 24 q^{32} - 24 q^{33} + 8 q^{35} + 56 q^{36} + 6 q^{40} - 24 q^{43} + q^{44} + 6 q^{45} - 36 q^{49} - 6 q^{52} - 4 q^{56} + 4 q^{57} - 2 q^{60} + 52 q^{63} + 48 q^{64} - 24 q^{66} - 2 q^{70} - 40 q^{71} + 28 q^{72} - 42 q^{73} + 90 q^{75} - 19 q^{77} + 6 q^{80} - 72 q^{81} + 40 q^{85} - 12 q^{86} - 18 q^{87} - q^{88} + 60 q^{89} - 56 q^{91} - 24 q^{95} - 42 q^{98} - 58 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.781614 1.35379i 0.451265 0.781614i −0.547200 0.837002i \(-0.684306\pi\)
0.998465 + 0.0553881i \(0.0176396\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.11819 0.716443i −0.947281 0.320403i
\(6\) 1.56323 0.638185
\(7\) 0.725302 + 2.54439i 0.274138 + 0.961690i
\(8\) −1.00000 −0.353553
\(9\) 0.278160 + 0.481787i 0.0927199 + 0.160596i
\(10\) −0.438635 2.19262i −0.138708 0.693369i
\(11\) −2.06350 + 2.59653i −0.622169 + 0.782883i
\(12\) 0.781614 + 1.35379i 0.225632 + 0.390807i
\(13\) 2.41576i 0.670010i −0.942216 0.335005i \(-0.891262\pi\)
0.942216 0.335005i \(-0.108738\pi\)
\(14\) −1.84086 + 1.90033i −0.491990 + 0.507884i
\(15\) −2.62552 + 2.30761i −0.677906 + 0.595821i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 6.35472 + 3.66890i 1.54125 + 0.889839i 0.998760 + 0.0497746i \(0.0158503\pi\)
0.542486 + 0.840065i \(0.317483\pi\)
\(18\) −0.278160 + 0.481787i −0.0655629 + 0.113558i
\(19\) 2.89975 + 5.02252i 0.665249 + 1.15225i 0.979218 + 0.202812i \(0.0650081\pi\)
−0.313968 + 0.949433i \(0.601659\pi\)
\(20\) 1.67955 1.47618i 0.375559 0.330084i
\(21\) 4.01149 + 1.00682i 0.875379 + 0.219707i
\(22\) −3.28041 0.488782i −0.699386 0.104209i
\(23\) −7.48569 + 4.32187i −1.56087 + 0.901171i −0.563705 + 0.825976i \(0.690625\pi\)
−0.997169 + 0.0751954i \(0.976042\pi\)
\(24\) −0.781614 + 1.35379i −0.159546 + 0.276342i
\(25\) 3.97342 + 3.03512i 0.794684 + 0.607024i
\(26\) 2.09211 1.20788i 0.410296 0.236884i
\(27\) 5.55934 1.06989
\(28\) −2.56616 0.644067i −0.484959 0.121717i
\(29\) 4.47156i 0.830347i −0.909742 0.415174i \(-0.863721\pi\)
0.909742 0.415174i \(-0.136279\pi\)
\(30\) −3.31121 1.11996i −0.604541 0.204476i
\(31\) −0.862051 0.497705i −0.154829 0.0893905i 0.420584 0.907254i \(-0.361825\pi\)
−0.575413 + 0.817863i \(0.695159\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 1.90230 + 4.82304i 0.331149 + 0.839584i
\(34\) 7.33780i 1.25842i
\(35\) 0.286589 5.90913i 0.0484423 0.998826i
\(36\) −0.556319 −0.0927199
\(37\) 3.20955 1.85303i 0.527646 0.304637i −0.212411 0.977180i \(-0.568132\pi\)
0.740057 + 0.672544i \(0.234798\pi\)
\(38\) −2.89975 + 5.02252i −0.470402 + 0.814761i
\(39\) −3.27044 1.88819i −0.523689 0.302352i
\(40\) 2.11819 + 0.716443i 0.334915 + 0.113280i
\(41\) −6.97297 −1.08900 −0.544498 0.838762i \(-0.683280\pi\)
−0.544498 + 0.838762i \(0.683280\pi\)
\(42\) 1.13381 + 3.97747i 0.174951 + 0.613736i
\(43\) 6.18781 0.943632 0.471816 0.881697i \(-0.343599\pi\)
0.471816 + 0.881697i \(0.343599\pi\)
\(44\) −1.21691 3.08531i −0.183456 0.465128i
\(45\) −0.244021 1.21980i −0.0363765 0.181837i
\(46\) −7.48569 4.32187i −1.10370 0.637224i
\(47\) 5.29717 + 9.17496i 0.772671 + 1.33831i 0.936094 + 0.351750i \(0.114413\pi\)
−0.163423 + 0.986556i \(0.552254\pi\)
\(48\) −1.56323 −0.225632
\(49\) −5.94787 + 3.69091i −0.849696 + 0.527272i
\(50\) −0.641780 + 4.95864i −0.0907615 + 0.701258i
\(51\) 9.93388 5.73533i 1.39102 0.803107i
\(52\) 2.09211 + 1.20788i 0.290123 + 0.167502i
\(53\) 1.54044 + 0.889372i 0.211595 + 0.122165i 0.602053 0.798456i \(-0.294350\pi\)
−0.390457 + 0.920621i \(0.627683\pi\)
\(54\) 2.77967 + 4.81453i 0.378265 + 0.655174i
\(55\) 6.23115 4.02155i 0.840207 0.542265i
\(56\) −0.725302 2.54439i −0.0969226 0.340009i
\(57\) 9.06595 1.20081
\(58\) 3.87248 2.23578i 0.508482 0.293572i
\(59\) −7.38314 4.26266i −0.961203 0.554951i −0.0646597 0.997907i \(-0.520596\pi\)
−0.896543 + 0.442957i \(0.853930\pi\)
\(60\) −0.685686 3.42757i −0.0885217 0.442497i
\(61\) 1.71192 + 2.96514i 0.219189 + 0.379647i 0.954560 0.298018i \(-0.0963254\pi\)
−0.735371 + 0.677665i \(0.762992\pi\)
\(62\) 0.995411i 0.126417i
\(63\) −1.02411 + 1.05719i −0.129025 + 0.133193i
\(64\) 1.00000 0.125000
\(65\) −1.73075 + 5.11702i −0.214673 + 0.634688i
\(66\) −3.22572 + 4.05896i −0.397059 + 0.499624i
\(67\) −9.76197 5.63608i −1.19261 0.688556i −0.233716 0.972305i \(-0.575089\pi\)
−0.958899 + 0.283749i \(0.908422\pi\)
\(68\) −6.35472 + 3.66890i −0.770623 + 0.444920i
\(69\) 13.5121i 1.62667i
\(70\) 5.26075 2.70637i 0.628780 0.323474i
\(71\) 0.788593 0.0935888 0.0467944 0.998905i \(-0.485099\pi\)
0.0467944 + 0.998905i \(0.485099\pi\)
\(72\) −0.278160 0.481787i −0.0327814 0.0567791i
\(73\) 8.04910 + 4.64715i 0.942076 + 0.543908i 0.890611 0.454767i \(-0.150277\pi\)
0.0514657 + 0.998675i \(0.483611\pi\)
\(74\) 3.20955 + 1.85303i 0.373102 + 0.215411i
\(75\) 7.21461 3.00690i 0.833071 0.347207i
\(76\) −5.79951 −0.665249
\(77\) −8.10325 3.36710i −0.923451 0.383716i
\(78\) 3.77638i 0.427590i
\(79\) 2.68359 1.54937i 0.301927 0.174318i −0.341381 0.939925i \(-0.610895\pi\)
0.643308 + 0.765607i \(0.277561\pi\)
\(80\) 0.438635 + 2.19262i 0.0490409 + 0.245143i
\(81\) 3.51078 6.08084i 0.390086 0.675649i
\(82\) −3.48649 6.03877i −0.385018 0.666871i
\(83\) 11.1034i 1.21875i −0.792881 0.609376i \(-0.791420\pi\)
0.792881 0.609376i \(-0.208580\pi\)
\(84\) −2.87768 + 2.97064i −0.313981 + 0.324124i
\(85\) −10.8319 12.3242i −1.17489 1.33675i
\(86\) 3.09391 + 5.35880i 0.333624 + 0.577854i
\(87\) −6.05357 3.49503i −0.649011 0.374707i
\(88\) 2.06350 2.59653i 0.219970 0.276791i
\(89\) −3.28611 + 1.89724i −0.348327 + 0.201107i −0.663948 0.747779i \(-0.731120\pi\)
0.315621 + 0.948885i \(0.397787\pi\)
\(90\) 0.934366 0.821228i 0.0984909 0.0865650i
\(91\) 6.14663 1.75215i 0.644342 0.183675i
\(92\) 8.64373i 0.901171i
\(93\) −1.34758 + 0.778027i −0.139738 + 0.0806776i
\(94\) −5.29717 + 9.17496i −0.546361 + 0.946325i
\(95\) −2.54387 12.7161i −0.260995 1.30465i
\(96\) −0.781614 1.35379i −0.0797731 0.138171i
\(97\) 1.37580 0.139691 0.0698455 0.997558i \(-0.477749\pi\)
0.0698455 + 0.997558i \(0.477749\pi\)
\(98\) −6.17036 3.30556i −0.623300 0.333912i
\(99\) −1.82496 0.271919i −0.183415 0.0273289i
\(100\) −4.61520 + 1.92352i −0.461520 + 0.192352i
\(101\) −1.36011 + 2.35579i −0.135336 + 0.234409i −0.925726 0.378195i \(-0.876545\pi\)
0.790390 + 0.612605i \(0.209878\pi\)
\(102\) 9.93388 + 5.73533i 0.983601 + 0.567882i
\(103\) −9.62535 16.6716i −0.948414 1.64270i −0.748767 0.662833i \(-0.769354\pi\)
−0.199647 0.979868i \(-0.563980\pi\)
\(104\) 2.41576i 0.236884i
\(105\) −7.77575 5.00664i −0.758836 0.488598i
\(106\) 1.77874i 0.172767i
\(107\) 8.42442 + 14.5915i 0.814420 + 1.41062i 0.909744 + 0.415170i \(0.136278\pi\)
−0.0953239 + 0.995446i \(0.530389\pi\)
\(108\) −2.77967 + 4.81453i −0.267474 + 0.463278i
\(109\) −13.4790 7.78209i −1.29105 0.745389i −0.312211 0.950013i \(-0.601070\pi\)
−0.978841 + 0.204624i \(0.934403\pi\)
\(110\) 6.59833 + 3.38556i 0.629126 + 0.322800i
\(111\) 5.79343i 0.549888i
\(112\) 1.84086 1.90033i 0.173945 0.179564i
\(113\) 7.70432i 0.724762i −0.932030 0.362381i \(-0.881964\pi\)
0.932030 0.362381i \(-0.118036\pi\)
\(114\) 4.53298 + 7.85134i 0.424552 + 0.735346i
\(115\) 18.9525 3.79144i 1.76733 0.353554i
\(116\) 3.87248 + 2.23578i 0.359551 + 0.207587i
\(117\) 1.16388 0.671966i 0.107601 0.0621232i
\(118\) 8.52531i 0.784819i
\(119\) −4.72603 + 18.8300i −0.433235 + 1.72614i
\(120\) 2.62552 2.30761i 0.239676 0.210655i
\(121\) −2.48391 10.7159i −0.225810 0.974171i
\(122\) −1.71192 + 2.96514i −0.154990 + 0.268451i
\(123\) −5.45017 + 9.43998i −0.491426 + 0.851174i
\(124\) 0.862051 0.497705i 0.0774145 0.0446953i
\(125\) −6.24195 9.27567i −0.558297 0.829641i
\(126\) −1.42760 0.358307i −0.127181 0.0319205i
\(127\) −7.79433 −0.691635 −0.345818 0.938302i \(-0.612398\pi\)
−0.345818 + 0.938302i \(0.612398\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 4.83648 8.37703i 0.425828 0.737556i
\(130\) −5.29684 + 1.05963i −0.464564 + 0.0929361i
\(131\) 5.54331 + 9.60129i 0.484321 + 0.838869i 0.999838 0.0180106i \(-0.00573328\pi\)
−0.515517 + 0.856880i \(0.672400\pi\)
\(132\) −5.12803 0.764077i −0.446338 0.0665044i
\(133\) −10.6761 + 11.0210i −0.925733 + 0.955638i
\(134\) 11.2722i 0.973766i
\(135\) −11.7757 3.98295i −1.01349 0.342798i
\(136\) −6.35472 3.66890i −0.544913 0.314606i
\(137\) −7.71390 4.45362i −0.659043 0.380499i 0.132869 0.991134i \(-0.457581\pi\)
−0.791912 + 0.610635i \(0.790914\pi\)
\(138\) −11.7018 + 6.75606i −0.996127 + 0.575114i
\(139\) 18.4038 1.56099 0.780496 0.625161i \(-0.214967\pi\)
0.780496 + 0.625161i \(0.214967\pi\)
\(140\) 4.97417 + 3.20276i 0.420394 + 0.270683i
\(141\) 16.5614 1.39472
\(142\) 0.394297 + 0.682942i 0.0330886 + 0.0573112i
\(143\) 6.27258 + 4.98492i 0.524539 + 0.416860i
\(144\) 0.278160 0.481787i 0.0231800 0.0401489i
\(145\) −3.20362 + 9.47159i −0.266046 + 0.786572i
\(146\) 9.29430i 0.769202i
\(147\) 0.347791 + 10.9371i 0.0286853 + 0.902074i
\(148\) 3.70607i 0.304637i
\(149\) 2.89183 1.66960i 0.236908 0.136779i −0.376847 0.926276i \(-0.622992\pi\)
0.613755 + 0.789497i \(0.289658\pi\)
\(150\) 6.21136 + 4.74458i 0.507155 + 0.387393i
\(151\) 0.298524 + 0.172353i 0.0242935 + 0.0140259i 0.512098 0.858927i \(-0.328869\pi\)
−0.487804 + 0.872953i \(0.662202\pi\)
\(152\) −2.89975 5.02252i −0.235201 0.407380i
\(153\) 4.08216i 0.330023i
\(154\) −1.13564 8.70117i −0.0915121 0.701160i
\(155\) 1.46941 + 1.67184i 0.118026 + 0.134286i
\(156\) 3.27044 1.88819i 0.261845 0.151176i
\(157\) 9.08338 15.7329i 0.724933 1.25562i −0.234069 0.972220i \(-0.575204\pi\)
0.959002 0.283401i \(-0.0914626\pi\)
\(158\) 2.68359 + 1.54937i 0.213495 + 0.123261i
\(159\) 2.40806 1.39029i 0.190971 0.110257i
\(160\) −1.67955 + 1.47618i −0.132780 + 0.116702i
\(161\) −16.4259 15.9119i −1.29454 1.25403i
\(162\) 7.02155 0.551665
\(163\) 5.32629 3.07513i 0.417187 0.240863i −0.276686 0.960960i \(-0.589236\pi\)
0.693873 + 0.720097i \(0.255903\pi\)
\(164\) 3.48649 6.03877i 0.272249 0.471549i
\(165\) −0.573998 11.5790i −0.0446857 0.901423i
\(166\) 9.61579 5.55168i 0.746330 0.430894i
\(167\) 1.94657i 0.150630i −0.997160 0.0753152i \(-0.976004\pi\)
0.997160 0.0753152i \(-0.0239963\pi\)
\(168\) −4.01149 1.00682i −0.309493 0.0776781i
\(169\) 7.16413 0.551087
\(170\) 5.25712 15.5428i 0.403203 1.19208i
\(171\) −1.61319 + 2.79413i −0.123364 + 0.213672i
\(172\) −3.09391 + 5.35880i −0.235908 + 0.408605i
\(173\) 11.4230 6.59506i 0.868474 0.501413i 0.00163288 0.999999i \(-0.499480\pi\)
0.866841 + 0.498585i \(0.166147\pi\)
\(174\) 6.99006i 0.529915i
\(175\) −4.84061 + 12.3113i −0.365915 + 0.930648i
\(176\) 3.28041 + 0.488782i 0.247270 + 0.0368433i
\(177\) −11.5415 + 6.66350i −0.867514 + 0.500860i
\(178\) −3.28611 1.89724i −0.246304 0.142204i
\(179\) −5.38578 + 9.32844i −0.402552 + 0.697241i −0.994033 0.109078i \(-0.965210\pi\)
0.591481 + 0.806319i \(0.298543\pi\)
\(180\) 1.17839 + 0.398571i 0.0878318 + 0.0297077i
\(181\) 4.72166i 0.350958i 0.984483 + 0.175479i \(0.0561474\pi\)
−0.984483 + 0.175479i \(0.943853\pi\)
\(182\) 4.59072 + 4.44706i 0.340287 + 0.329638i
\(183\) 5.35225 0.395650
\(184\) 7.48569 4.32187i 0.551852 0.318612i
\(185\) −8.12601 + 1.62561i −0.597436 + 0.119517i
\(186\) −1.34758 0.778027i −0.0988095 0.0570477i
\(187\) −22.6394 + 8.92943i −1.65556 + 0.652984i
\(188\) −10.5943 −0.772671
\(189\) 4.03220 + 14.1451i 0.293299 + 1.02891i
\(190\) 9.74057 8.56112i 0.706655 0.621089i
\(191\) −7.80888 13.5254i −0.565031 0.978662i −0.997047 0.0767959i \(-0.975531\pi\)
0.432016 0.901866i \(-0.357802\pi\)
\(192\) 0.781614 1.35379i 0.0564081 0.0977017i
\(193\) 0.956755 1.65715i 0.0688687 0.119284i −0.829535 0.558455i \(-0.811394\pi\)
0.898404 + 0.439171i \(0.144728\pi\)
\(194\) 0.687898 + 1.19147i 0.0493882 + 0.0855429i
\(195\) 5.57461 + 6.34261i 0.399206 + 0.454204i
\(196\) −0.222483 6.99646i −0.0158916 0.499747i
\(197\) 14.8366 1.05706 0.528531 0.848914i \(-0.322743\pi\)
0.528531 + 0.848914i \(0.322743\pi\)
\(198\) −0.676989 1.71642i −0.0481115 0.121980i
\(199\) 18.8792 + 10.8999i 1.33831 + 0.772675i 0.986557 0.163417i \(-0.0522517\pi\)
0.351755 + 0.936092i \(0.385585\pi\)
\(200\) −3.97342 3.03512i −0.280963 0.214615i
\(201\) −15.2602 + 8.81047i −1.07637 + 0.621443i
\(202\) −2.72023 −0.191394
\(203\) 11.3774 3.24323i 0.798537 0.227630i
\(204\) 11.4707i 0.803107i
\(205\) 14.7701 + 4.99574i 1.03159 + 0.348918i
\(206\) 9.62535 16.6716i 0.670630 1.16157i
\(207\) −4.16443 2.40434i −0.289448 0.167113i
\(208\) −2.09211 + 1.20788i −0.145061 + 0.0837512i
\(209\) −19.0248 2.83469i −1.31597 0.196080i
\(210\) 0.448003 9.23732i 0.0309152 0.637436i
\(211\) 22.3531i 1.53885i 0.638738 + 0.769425i \(0.279457\pi\)
−0.638738 + 0.769425i \(0.720543\pi\)
\(212\) −1.54044 + 0.889372i −0.105798 + 0.0610823i
\(213\) 0.616375 1.06759i 0.0422334 0.0731503i
\(214\) −8.42442 + 14.5915i −0.575882 + 0.997456i
\(215\) −13.1069 4.43321i −0.893885 0.302343i
\(216\) −5.55934 −0.378265
\(217\) 0.641111 2.55438i 0.0435214 0.173403i
\(218\) 15.5642i 1.05414i
\(219\) 12.5826 7.26456i 0.850252 0.490893i
\(220\) 0.367188 + 7.40710i 0.0247558 + 0.499387i
\(221\) 8.86317 15.3515i 0.596201 1.03265i
\(222\) 5.01725 2.89671i 0.336736 0.194415i
\(223\) 20.8452 1.39590 0.697949 0.716147i \(-0.254096\pi\)
0.697949 + 0.716147i \(0.254096\pi\)
\(224\) 2.56616 + 0.644067i 0.171459 + 0.0430335i
\(225\) −0.357035 + 2.75859i −0.0238023 + 0.183906i
\(226\) 6.67214 3.85216i 0.443824 0.256242i
\(227\) −10.3977 6.00313i −0.690122 0.398442i 0.113536 0.993534i \(-0.463782\pi\)
−0.803658 + 0.595092i \(0.797116\pi\)
\(228\) −4.53298 + 7.85134i −0.300204 + 0.519968i
\(229\) 0.995628 0.574826i 0.0657930 0.0379856i −0.466743 0.884393i \(-0.654573\pi\)
0.532536 + 0.846408i \(0.321239\pi\)
\(230\) 12.7597 + 14.5176i 0.841350 + 0.957261i
\(231\) −10.8920 + 8.33837i −0.716639 + 0.548625i
\(232\) 4.47156i 0.293572i
\(233\) 0.0103605 + 0.0179449i 0.000678740 + 0.00117561i 0.866365 0.499412i \(-0.166451\pi\)
−0.865686 + 0.500588i \(0.833117\pi\)
\(234\) 1.16388 + 0.671966i 0.0760851 + 0.0439278i
\(235\) −4.64704 23.2294i −0.303140 1.51532i
\(236\) 7.38314 4.26266i 0.480601 0.277475i
\(237\) 4.84404i 0.314654i
\(238\) −18.6703 + 5.32212i −1.21021 + 0.344982i
\(239\) 3.74980i 0.242554i 0.992619 + 0.121277i \(0.0386990\pi\)
−0.992619 + 0.121277i \(0.961301\pi\)
\(240\) 3.31121 + 1.11996i 0.213737 + 0.0722933i
\(241\) 9.64709 16.7093i 0.621424 1.07634i −0.367797 0.929906i \(-0.619888\pi\)
0.989221 0.146432i \(-0.0467789\pi\)
\(242\) 8.03827 7.50907i 0.516720 0.482702i
\(243\) 2.85086 + 4.93784i 0.182883 + 0.316763i
\(244\) −3.42385 −0.219189
\(245\) 15.2430 3.55671i 0.973841 0.227230i
\(246\) −10.9003 −0.694981
\(247\) 12.1332 7.00510i 0.772016 0.445724i
\(248\) 0.862051 + 0.497705i 0.0547403 + 0.0316043i
\(249\) −15.0317 8.67854i −0.952593 0.549980i
\(250\) 4.91199 10.0435i 0.310662 0.635208i
\(251\) 1.86262i 0.117567i −0.998271 0.0587836i \(-0.981278\pi\)
0.998271 0.0587836i \(-0.0187222\pi\)
\(252\) −0.403500 1.41550i −0.0254181 0.0891678i
\(253\) 4.22490 28.3550i 0.265617 1.78266i
\(254\) −3.89717 6.75009i −0.244530 0.423538i
\(255\) −25.1508 + 5.03143i −1.57501 + 0.315080i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −2.56618 4.44475i −0.160074 0.277256i 0.774821 0.632180i \(-0.217840\pi\)
−0.934895 + 0.354925i \(0.884506\pi\)
\(258\) 9.67296 0.602212
\(259\) 7.04274 + 6.82234i 0.437614 + 0.423920i
\(260\) −3.56609 4.05738i −0.221160 0.251628i
\(261\) 2.15434 1.24381i 0.133350 0.0769897i
\(262\) −5.54331 + 9.60129i −0.342467 + 0.593170i
\(263\) 5.97415 10.3475i 0.368382 0.638056i −0.620931 0.783865i \(-0.713245\pi\)
0.989313 + 0.145809i \(0.0465785\pi\)
\(264\) −1.90230 4.82304i −0.117079 0.296838i
\(265\) −2.62575 2.98749i −0.161298 0.183520i
\(266\) −14.8825 3.73527i −0.912503 0.229024i
\(267\) 5.93163i 0.363010i
\(268\) 9.76197 5.63608i 0.596307 0.344278i
\(269\) −9.49594 5.48248i −0.578978 0.334273i 0.181749 0.983345i \(-0.441824\pi\)
−0.760727 + 0.649072i \(0.775157\pi\)
\(270\) −2.43852 12.1895i −0.148404 0.741831i
\(271\) 11.6342 + 20.1511i 0.706730 + 1.22409i 0.966063 + 0.258305i \(0.0831639\pi\)
−0.259333 + 0.965788i \(0.583503\pi\)
\(272\) 7.33780i 0.444920i
\(273\) 2.43224 9.69078i 0.147206 0.586513i
\(274\) 8.90724i 0.538106i
\(275\) −16.0799 + 4.05412i −0.969656 + 0.244472i
\(276\) −11.7018 6.75606i −0.704368 0.406667i
\(277\) 10.2915 17.8254i 0.618356 1.07102i −0.371429 0.928461i \(-0.621132\pi\)
0.989786 0.142564i \(-0.0455345\pi\)
\(278\) 9.20191 + 15.9382i 0.551894 + 0.955909i
\(279\) 0.553766i 0.0331531i
\(280\) −0.286589 + 5.90913i −0.0171270 + 0.353138i
\(281\) 6.50399i 0.387995i −0.981002 0.193998i \(-0.937855\pi\)
0.981002 0.193998i \(-0.0621454\pi\)
\(282\) 8.28068 + 14.3426i 0.493107 + 0.854087i
\(283\) 12.5405 + 7.24027i 0.745456 + 0.430389i 0.824050 0.566518i \(-0.191710\pi\)
−0.0785938 + 0.996907i \(0.525043\pi\)
\(284\) −0.394297 + 0.682942i −0.0233972 + 0.0405251i
\(285\) −19.2034 6.49524i −1.13751 0.384745i
\(286\) −1.18078 + 7.92467i −0.0698208 + 0.468595i
\(287\) −5.05751 17.7420i −0.298536 1.04728i
\(288\) 0.556319 0.0327814
\(289\) 18.4217 + 31.9073i 1.08363 + 1.87690i
\(290\) −9.80444 + 1.96138i −0.575737 + 0.115176i
\(291\) 1.07534 1.86255i 0.0630376 0.109184i
\(292\) −8.04910 + 4.64715i −0.471038 + 0.271954i
\(293\) 19.4674i 1.13730i −0.822580 0.568650i \(-0.807466\pi\)
0.822580 0.568650i \(-0.192534\pi\)
\(294\) −9.29788 + 5.76973i −0.542263 + 0.336497i
\(295\) 12.5849 + 14.3187i 0.732721 + 0.833667i
\(296\) −3.20955 + 1.85303i −0.186551 + 0.107705i
\(297\) −11.4717 + 14.4350i −0.665656 + 0.837602i
\(298\) 2.89183 + 1.66960i 0.167519 + 0.0967172i
\(299\) 10.4406 + 18.0836i 0.603794 + 1.04580i
\(300\) −1.00325 + 7.75148i −0.0579226 + 0.447532i
\(301\) 4.48803 + 15.7442i 0.258686 + 0.907482i
\(302\) 0.344706i 0.0198356i
\(303\) 2.12617 + 3.68263i 0.122145 + 0.211562i
\(304\) 2.89975 5.02252i 0.166312 0.288061i
\(305\) −1.50182 7.50721i −0.0859939 0.429862i
\(306\) −3.53526 + 2.04108i −0.202097 + 0.116681i
\(307\) 7.39584i 0.422103i 0.977475 + 0.211052i \(0.0676888\pi\)
−0.977475 + 0.211052i \(0.932311\pi\)
\(308\) 6.96762 5.33407i 0.397017 0.303937i
\(309\) −30.0932 −1.71194
\(310\) −0.713155 + 2.10846i −0.0405045 + 0.119753i
\(311\) 10.5980 + 6.11878i 0.600960 + 0.346964i 0.769419 0.638744i \(-0.220546\pi\)
−0.168459 + 0.985709i \(0.553879\pi\)
\(312\) 3.27044 + 1.88819i 0.185152 + 0.106898i
\(313\) 10.3410 + 17.9111i 0.584507 + 1.01240i 0.994937 + 0.100504i \(0.0320454\pi\)
−0.410430 + 0.911892i \(0.634621\pi\)
\(314\) 18.1668 1.02521
\(315\) 2.92666 1.50561i 0.164899 0.0848314i
\(316\) 3.09874i 0.174318i
\(317\) −6.76443 + 3.90544i −0.379928 + 0.219352i −0.677787 0.735258i \(-0.737061\pi\)
0.297859 + 0.954610i \(0.403728\pi\)
\(318\) 2.40806 + 1.39029i 0.135037 + 0.0779637i
\(319\) 11.6105 + 9.22707i 0.650064 + 0.516617i
\(320\) −2.11819 0.716443i −0.118410 0.0400504i
\(321\) 26.3386 1.47008
\(322\) 5.56714 22.1812i 0.310244 1.23611i
\(323\) 42.5556i 2.36786i
\(324\) 3.51078 + 6.08084i 0.195043 + 0.337825i
\(325\) 7.33210 9.59881i 0.406712 0.532446i
\(326\) 5.32629 + 3.07513i 0.294996 + 0.170316i
\(327\) −21.0707 + 12.1652i −1.16521 + 0.672736i
\(328\) 6.97297 0.385018
\(329\) −19.5027 + 20.1327i −1.07522 + 1.10995i
\(330\) 9.74070 6.28659i 0.536208 0.346065i
\(331\) −9.35906 16.2104i −0.514421 0.891002i −0.999860 0.0167322i \(-0.994674\pi\)
0.485440 0.874270i \(-0.338660\pi\)
\(332\) 9.61579 + 5.55168i 0.527735 + 0.304688i
\(333\) 1.78553 + 1.03088i 0.0978466 + 0.0564918i
\(334\) 1.68578 0.973287i 0.0922419 0.0532559i
\(335\) 16.6397 + 18.9322i 0.909126 + 1.03437i
\(336\) −1.13381 3.97747i −0.0618545 0.216989i
\(337\) 3.10399 0.169085 0.0845426 0.996420i \(-0.473057\pi\)
0.0845426 + 0.996420i \(0.473057\pi\)
\(338\) 3.58206 + 6.20432i 0.194839 + 0.337470i
\(339\) −10.4301 6.02181i −0.566484 0.327060i
\(340\) 16.0890 3.21862i 0.872551 0.174554i
\(341\) 3.07115 1.21132i 0.166312 0.0655968i
\(342\) −3.22638 −0.174463
\(343\) −13.7051 12.4567i −0.740007 0.672599i
\(344\) −6.18781 −0.333624
\(345\) 9.68066 28.6212i 0.521189 1.54091i
\(346\) 11.4230 + 6.59506i 0.614104 + 0.354553i
\(347\) −7.01443 + 12.1493i −0.376554 + 0.652211i −0.990558 0.137092i \(-0.956224\pi\)
0.614004 + 0.789303i \(0.289558\pi\)
\(348\) 6.05357 3.49503i 0.324505 0.187353i
\(349\) −10.9124 −0.584125 −0.292063 0.956399i \(-0.594342\pi\)
−0.292063 + 0.956399i \(0.594342\pi\)
\(350\) −13.0822 + 1.96357i −0.699274 + 0.104957i
\(351\) 13.4300i 0.716840i
\(352\) 1.21691 + 3.08531i 0.0648614 + 0.164448i
\(353\) 1.95844 3.39212i 0.104237 0.180544i −0.809189 0.587548i \(-0.800093\pi\)
0.913426 + 0.407004i \(0.133427\pi\)
\(354\) −11.5415 6.66350i −0.613425 0.354161i
\(355\) −1.67039 0.564982i −0.0886549 0.0299861i
\(356\) 3.79448i 0.201107i
\(357\) 21.7980 + 21.1158i 1.15367 + 1.11757i
\(358\) −10.7716 −0.569295
\(359\) −11.8456 + 6.83908i −0.625188 + 0.360953i −0.778886 0.627165i \(-0.784215\pi\)
0.153698 + 0.988118i \(0.450882\pi\)
\(360\) 0.244021 + 1.21980i 0.0128610 + 0.0642891i
\(361\) −7.31715 + 12.6737i −0.385113 + 0.667036i
\(362\) −4.08908 + 2.36083i −0.214917 + 0.124082i
\(363\) −16.4486 5.01297i −0.863326 0.263113i
\(364\) −1.55591 + 6.19921i −0.0815517 + 0.324927i
\(365\) −13.7201 15.6103i −0.718141 0.817078i
\(366\) 2.67613 + 4.63519i 0.139883 + 0.242285i
\(367\) 0.190067 0.329206i 0.00992143 0.0171844i −0.861022 0.508568i \(-0.830175\pi\)
0.870943 + 0.491383i \(0.163509\pi\)
\(368\) 7.48569 + 4.32187i 0.390219 + 0.225293i
\(369\) −1.93960 3.35949i −0.100972 0.174888i
\(370\) −5.47082 6.22453i −0.284415 0.323598i
\(371\) −1.14563 + 4.56454i −0.0594782 + 0.236979i
\(372\) 1.55605i 0.0806776i
\(373\) 3.71164 + 6.42875i 0.192182 + 0.332868i 0.945973 0.324246i \(-0.105110\pi\)
−0.753791 + 0.657114i \(0.771777\pi\)
\(374\) −19.0528 15.1416i −0.985197 0.782952i
\(375\) −17.4361 + 1.20032i −0.900399 + 0.0619844i
\(376\) −5.29717 9.17496i −0.273181 0.473163i
\(377\) −10.8022 −0.556341
\(378\) −10.2340 + 10.5646i −0.526378 + 0.543382i
\(379\) −12.0907 −0.621059 −0.310529 0.950564i \(-0.600506\pi\)
−0.310529 + 0.950564i \(0.600506\pi\)
\(380\) 12.2844 + 4.15502i 0.630178 + 0.213148i
\(381\) −6.09216 + 10.5519i −0.312111 + 0.540592i
\(382\) 7.80888 13.5254i 0.399537 0.692018i
\(383\) −7.34126 12.7154i −0.375121 0.649729i 0.615224 0.788352i \(-0.289066\pi\)
−0.990345 + 0.138624i \(0.955732\pi\)
\(384\) 1.56323 0.0797731
\(385\) 14.7519 + 12.9376i 0.751824 + 0.659364i
\(386\) 1.91351 0.0973951
\(387\) 1.72120 + 2.98121i 0.0874935 + 0.151543i
\(388\) −0.687898 + 1.19147i −0.0349227 + 0.0604880i
\(389\) −12.3561 + 21.4013i −0.626478 + 1.08509i 0.361776 + 0.932265i \(0.382171\pi\)
−0.988253 + 0.152826i \(0.951163\pi\)
\(390\) −2.70556 + 7.99906i −0.137001 + 0.405048i
\(391\) −63.4260 −3.20759
\(392\) 5.94787 3.69091i 0.300413 0.186419i
\(393\) 17.3309 0.874229
\(394\) 7.41829 + 12.8489i 0.373728 + 0.647316i
\(395\) −6.79438 + 1.35922i −0.341862 + 0.0683896i
\(396\) 1.14797 1.44450i 0.0576875 0.0725888i
\(397\) 9.10381 + 15.7683i 0.456907 + 0.791386i 0.998796 0.0490641i \(-0.0156238\pi\)
−0.541889 + 0.840450i \(0.682291\pi\)
\(398\) 21.7998i 1.09273i
\(399\) 6.57555 + 23.0673i 0.329189 + 1.15481i
\(400\) 0.641780 4.95864i 0.0320890 0.247932i
\(401\) 11.0903 + 19.2090i 0.553825 + 0.959252i 0.997994 + 0.0633096i \(0.0201656\pi\)
−0.444169 + 0.895943i \(0.646501\pi\)
\(402\) −15.2602 8.81047i −0.761109 0.439426i
\(403\) −1.20233 + 2.08250i −0.0598925 + 0.103737i
\(404\) −1.36011 2.35579i −0.0676682 0.117205i
\(405\) −11.7930 + 10.3651i −0.586001 + 0.515045i
\(406\) 8.49742 + 8.23150i 0.421720 + 0.408523i
\(407\) −1.81146 + 12.1574i −0.0897906 + 0.602621i
\(408\) −9.93388 + 5.73533i −0.491800 + 0.283941i
\(409\) −11.3050 + 19.5808i −0.558995 + 0.968207i 0.438586 + 0.898689i \(0.355479\pi\)
−0.997581 + 0.0695178i \(0.977854\pi\)
\(410\) 3.05859 + 15.2891i 0.151053 + 0.755075i
\(411\) −12.0586 + 6.96202i −0.594806 + 0.343411i
\(412\) 19.2507 0.948414
\(413\) 5.49087 21.8773i 0.270188 1.07651i
\(414\) 4.80867i 0.236333i
\(415\) −7.95493 + 23.5190i −0.390492 + 1.15450i
\(416\) −2.09211 1.20788i −0.102574 0.0592211i
\(417\) 14.3847 24.9150i 0.704421 1.22009i
\(418\) −7.05747 17.8933i −0.345192 0.875189i
\(419\) 22.1700i 1.08307i −0.840677 0.541537i \(-0.817843\pi\)
0.840677 0.541537i \(-0.182157\pi\)
\(420\) 8.22376 4.23068i 0.401278 0.206436i
\(421\) −5.06729 −0.246964 −0.123482 0.992347i \(-0.539406\pi\)
−0.123482 + 0.992347i \(0.539406\pi\)
\(422\) −19.3583 + 11.1765i −0.942349 + 0.544065i
\(423\) −2.94692 + 5.10421i −0.143284 + 0.248175i
\(424\) −1.54044 0.889372i −0.0748103 0.0431917i
\(425\) 14.1144 + 33.8654i 0.684650 + 1.64271i
\(426\) 1.23275 0.0597270
\(427\) −6.30282 + 6.50643i −0.305015 + 0.314868i
\(428\) −16.8488 −0.814420
\(429\) 11.6513 4.59550i 0.562529 0.221873i
\(430\) −2.71419 13.5675i −0.130890 0.654285i
\(431\) −1.49673 0.864138i −0.0720950 0.0416241i 0.463519 0.886087i \(-0.346587\pi\)
−0.535614 + 0.844463i \(0.679920\pi\)
\(432\) −2.77967 4.81453i −0.133737 0.231639i
\(433\) −1.16651 −0.0560588 −0.0280294 0.999607i \(-0.508923\pi\)
−0.0280294 + 0.999607i \(0.508923\pi\)
\(434\) 2.53272 0.721973i 0.121574 0.0346558i
\(435\) 10.3186 + 11.7402i 0.494739 + 0.562898i
\(436\) 13.4790 7.78209i 0.645526 0.372695i
\(437\) −43.4133 25.0647i −2.07674 1.19901i
\(438\) 12.5826 + 7.26456i 0.601219 + 0.347114i
\(439\) −7.42466 12.8599i −0.354360 0.613769i 0.632649 0.774439i \(-0.281968\pi\)
−0.987008 + 0.160670i \(0.948634\pi\)
\(440\) −6.23115 + 4.02155i −0.297058 + 0.191720i
\(441\) −3.43269 1.83894i −0.163461 0.0875688i
\(442\) 17.7263 0.843156
\(443\) 27.9784 16.1533i 1.32929 0.767468i 0.344104 0.938932i \(-0.388183\pi\)
0.985191 + 0.171463i \(0.0548495\pi\)
\(444\) 5.01725 + 2.89671i 0.238108 + 0.137472i
\(445\) 8.31986 1.66439i 0.394399 0.0788996i
\(446\) 10.4226 + 18.0525i 0.493525 + 0.854810i
\(447\) 5.21992i 0.246894i
\(448\) 0.725302 + 2.54439i 0.0342673 + 0.120211i
\(449\) −31.2597 −1.47524 −0.737618 0.675218i \(-0.764049\pi\)
−0.737618 + 0.675218i \(0.764049\pi\)
\(450\) −2.56752 + 1.07009i −0.121034 + 0.0504447i
\(451\) 14.3888 18.1055i 0.677540 0.852556i
\(452\) 6.67214 + 3.85216i 0.313831 + 0.181190i
\(453\) 0.466661 0.269427i 0.0219257 0.0126588i
\(454\) 12.0063i 0.563482i
\(455\) −14.2750 0.692328i −0.669223 0.0324568i
\(456\) −9.06595 −0.424552
\(457\) −20.0531 34.7330i −0.938044 1.62474i −0.769114 0.639112i \(-0.779302\pi\)
−0.168930 0.985628i \(-0.554031\pi\)
\(458\) 0.995628 + 0.574826i 0.0465227 + 0.0268599i
\(459\) 35.3280 + 20.3967i 1.64897 + 0.952034i
\(460\) −6.19274 + 18.3090i −0.288738 + 0.853663i
\(461\) −21.3818 −0.995848 −0.497924 0.867221i \(-0.665904\pi\)
−0.497924 + 0.867221i \(0.665904\pi\)
\(462\) −12.6672 5.26354i −0.589333 0.244882i
\(463\) 20.7517i 0.964415i 0.876057 + 0.482207i \(0.160165\pi\)
−0.876057 + 0.482207i \(0.839835\pi\)
\(464\) −3.87248 + 2.23578i −0.179775 + 0.103793i
\(465\) 3.41184 0.682539i 0.158220 0.0316520i
\(466\) −0.0103605 + 0.0179449i −0.000479942 + 0.000831283i
\(467\) −0.436949 0.756818i −0.0202196 0.0350213i 0.855739 0.517408i \(-0.173103\pi\)
−0.875958 + 0.482387i \(0.839770\pi\)
\(468\) 1.34393i 0.0621232i
\(469\) 7.26002 28.9261i 0.335236 1.33569i
\(470\) 17.7937 15.6392i 0.820763 0.721380i
\(471\) −14.1994 24.5941i −0.654274 1.13324i
\(472\) 7.38314 + 4.26266i 0.339836 + 0.196205i
\(473\) −12.7686 + 16.0668i −0.587099 + 0.738753i
\(474\) 4.19506 2.42202i 0.192686 0.111247i
\(475\) −3.72201 + 28.7577i −0.170778 + 1.31949i
\(476\) −13.9442 13.5079i −0.639132 0.619131i
\(477\) 0.989550i 0.0453084i
\(478\) −3.24742 + 1.87490i −0.148534 + 0.0857559i
\(479\) −2.01746 + 3.49434i −0.0921801 + 0.159661i −0.908428 0.418041i \(-0.862717\pi\)
0.816248 + 0.577702i \(0.196050\pi\)
\(480\) 0.685686 + 3.42757i 0.0312971 + 0.156446i
\(481\) −4.47647 7.75348i −0.204110 0.353528i
\(482\) 19.2942 0.878826
\(483\) −34.3801 + 9.80037i −1.56435 + 0.445932i
\(484\) 10.5222 + 3.20681i 0.478281 + 0.145764i
\(485\) −2.91419 0.985680i −0.132327 0.0447574i
\(486\) −2.85086 + 4.93784i −0.129318 + 0.223985i
\(487\) 10.6366 + 6.14105i 0.481991 + 0.278277i 0.721246 0.692679i \(-0.243570\pi\)
−0.239255 + 0.970957i \(0.576903\pi\)
\(488\) −1.71192 2.96514i −0.0774952 0.134226i
\(489\) 9.61427i 0.434772i
\(490\) 10.7017 + 11.4225i 0.483454 + 0.516015i
\(491\) 6.98569i 0.315260i −0.987498 0.157630i \(-0.949615\pi\)
0.987498 0.157630i \(-0.0503853\pi\)
\(492\) −5.45017 9.43998i −0.245713 0.425587i
\(493\) 16.4057 28.4155i 0.738876 1.27977i
\(494\) 12.1332 + 7.00510i 0.545898 + 0.315174i
\(495\) 3.67078 + 1.88345i 0.164989 + 0.0846548i
\(496\) 0.995411i 0.0446953i
\(497\) 0.571968 + 2.00649i 0.0256563 + 0.0900034i
\(498\) 17.3571i 0.777789i
\(499\) 15.3366 + 26.5638i 0.686561 + 1.18916i 0.972944 + 0.231043i \(0.0742137\pi\)
−0.286383 + 0.958115i \(0.592453\pi\)
\(500\) 11.1539 0.767849i 0.498819 0.0343393i
\(501\) −2.63526 1.52147i −0.117735 0.0679742i
\(502\) 1.61307 0.931308i 0.0719950 0.0415663i
\(503\) 15.2089i 0.678133i 0.940762 + 0.339067i \(0.110111\pi\)
−0.940762 + 0.339067i \(0.889889\pi\)
\(504\) 1.02411 1.05719i 0.0456173 0.0470909i
\(505\) 4.56876 4.01555i 0.203307 0.178689i
\(506\) 26.6686 10.5186i 1.18556 0.467610i
\(507\) 5.59958 9.69876i 0.248686 0.430737i
\(508\) 3.89717 6.75009i 0.172909 0.299487i
\(509\) 15.7863 9.11423i 0.699716 0.403981i −0.107526 0.994202i \(-0.534293\pi\)
0.807242 + 0.590221i \(0.200959\pi\)
\(510\) −16.9328 19.2655i −0.749795 0.853093i
\(511\) −5.98615 + 23.8507i −0.264812 + 1.05509i
\(512\) −1.00000 −0.0441942
\(513\) 16.1207 + 27.9219i 0.711747 + 1.23278i
\(514\) 2.56618 4.44475i 0.113189 0.196049i
\(515\) 8.44403 + 42.2095i 0.372088 + 1.85998i
\(516\) 4.83648 + 8.37703i 0.212914 + 0.368778i
\(517\) −34.7538 5.17832i −1.52847 0.227742i
\(518\) −2.38695 + 9.51036i −0.104877 + 0.417861i
\(519\) 20.6192i 0.905081i
\(520\) 1.73075 5.11702i 0.0758985 0.224396i
\(521\) 20.3030 + 11.7220i 0.889492 + 0.513549i 0.873776 0.486328i \(-0.161664\pi\)
0.0157158 + 0.999876i \(0.494997\pi\)
\(522\) 2.15434 + 1.24381i 0.0942927 + 0.0544399i
\(523\) 20.7215 11.9635i 0.906086 0.523129i 0.0269161 0.999638i \(-0.491431\pi\)
0.879170 + 0.476509i \(0.158098\pi\)
\(524\) −11.0866 −0.484321
\(525\) 12.8835 + 16.1759i 0.562283 + 0.705973i
\(526\) 11.9483 0.520971
\(527\) −3.65206 6.32556i −0.159086 0.275546i
\(528\) 3.22572 4.05896i 0.140382 0.176644i
\(529\) 25.8570 44.7857i 1.12422 1.94720i
\(530\) 1.27437 3.76771i 0.0553551 0.163659i
\(531\) 4.74280i 0.205820i
\(532\) −4.20640 14.7562i −0.182370 0.639764i
\(533\) 16.8450i 0.729638i
\(534\) −5.13694 + 2.96581i −0.222297 + 0.128343i
\(535\) −7.39049 36.9432i −0.319519 1.59719i
\(536\) 9.76197 + 5.63608i 0.421653 + 0.243441i
\(537\) 8.41920 + 14.5825i 0.363315 + 0.629281i
\(538\) 10.9650i 0.472733i
\(539\) 2.68991 23.0600i 0.115863 0.993265i
\(540\) 9.33719 8.20659i 0.401809 0.353155i
\(541\) 31.8171 18.3696i 1.36792 0.789770i 0.377260 0.926107i \(-0.376866\pi\)
0.990662 + 0.136337i \(0.0435331\pi\)
\(542\) −11.6342 + 20.1511i −0.499734 + 0.865564i
\(543\) 6.39216 + 3.69051i 0.274314 + 0.158375i
\(544\) 6.35472 3.66890i 0.272457 0.157303i
\(545\) 22.9755 + 26.1408i 0.984164 + 1.11975i
\(546\) 9.60858 2.73901i 0.411209 0.117219i
\(547\) −33.9176 −1.45021 −0.725106 0.688637i \(-0.758209\pi\)
−0.725106 + 0.688637i \(0.758209\pi\)
\(548\) 7.71390 4.45362i 0.329521 0.190249i
\(549\) −0.952377 + 1.64956i −0.0406464 + 0.0704017i
\(550\) −11.5509 11.8986i −0.492533 0.507357i
\(551\) 22.4585 12.9664i 0.956764 0.552388i
\(552\) 13.5121i 0.575114i
\(553\) 5.88862 + 5.70434i 0.250410 + 0.242573i
\(554\) 20.5830 0.874488
\(555\) −4.15066 + 12.2715i −0.176186 + 0.520898i
\(556\) −9.20191 + 15.9382i −0.390248 + 0.675929i
\(557\) 7.99756 13.8522i 0.338868 0.586936i −0.645352 0.763885i \(-0.723289\pi\)
0.984220 + 0.176949i \(0.0566228\pi\)
\(558\) 0.479576 0.276883i 0.0203021 0.0117214i
\(559\) 14.9482i 0.632243i
\(560\) −5.26075 + 2.70637i −0.222307 + 0.114365i
\(561\) −5.60665 + 37.6285i −0.236713 + 1.58867i
\(562\) 5.63262 3.25199i 0.237598 0.137177i
\(563\) 39.3395 + 22.7127i 1.65796 + 0.957226i 0.973653 + 0.228035i \(0.0732300\pi\)
0.684310 + 0.729191i \(0.260103\pi\)
\(564\) −8.28068 + 14.3426i −0.348679 + 0.603930i
\(565\) −5.51971 + 16.3192i −0.232216 + 0.686553i
\(566\) 14.4805i 0.608662i
\(567\) 18.0184 + 4.52235i 0.756703 + 0.189921i
\(568\) −0.788593 −0.0330886
\(569\) −22.2683 + 12.8566i −0.933537 + 0.538978i −0.887929 0.459981i \(-0.847856\pi\)
−0.0456086 + 0.998959i \(0.514523\pi\)
\(570\) −3.97664 19.8782i −0.166563 0.832607i
\(571\) 1.28028 + 0.739171i 0.0535781 + 0.0309333i 0.526550 0.850144i \(-0.323485\pi\)
−0.472972 + 0.881078i \(0.656819\pi\)
\(572\) −7.45335 + 2.93975i −0.311640 + 0.122917i
\(573\) −24.4141 −1.01991
\(574\) 12.8363 13.2509i 0.535775 0.553083i
\(575\) −42.8612 5.54738i −1.78743 0.231342i
\(576\) 0.278160 + 0.481787i 0.0115900 + 0.0200744i
\(577\) 20.1440 34.8905i 0.838608 1.45251i −0.0524512 0.998623i \(-0.516703\pi\)
0.891059 0.453888i \(-0.149963\pi\)
\(578\) −18.4217 + 31.9073i −0.766241 + 1.32717i
\(579\) −1.49563 2.59050i −0.0621561 0.107658i
\(580\) −6.60083 7.51021i −0.274084 0.311844i
\(581\) 28.2513 8.05329i 1.17206 0.334107i
\(582\) 2.15068 0.0891487
\(583\) −5.48798 + 2.16457i −0.227289 + 0.0896473i
\(584\) −8.04910 4.64715i −0.333074 0.192301i
\(585\) −2.94674 + 0.589495i −0.121833 + 0.0243726i
\(586\) 16.8593 9.73371i 0.696451 0.402096i
\(587\) 15.4414 0.637335 0.318667 0.947867i \(-0.396765\pi\)
0.318667 + 0.947867i \(0.396765\pi\)
\(588\) −9.64567 5.16734i −0.397781 0.213097i
\(589\) 5.77289i 0.237868i
\(590\) −6.10790 + 18.0582i −0.251458 + 0.743444i
\(591\) 11.5965 20.0857i 0.477015 0.826215i
\(592\) −3.20955 1.85303i −0.131912 0.0761592i
\(593\) 12.7767 7.37664i 0.524677 0.302922i −0.214169 0.976797i \(-0.568704\pi\)
0.738846 + 0.673874i \(0.235371\pi\)
\(594\) −18.2369 2.71730i −0.748269 0.111492i
\(595\) 23.5012 36.4994i 0.963456 1.49633i
\(596\) 3.33920i 0.136779i
\(597\) 29.5125 17.0391i 1.20787 0.697362i
\(598\) −10.4406 + 18.0836i −0.426947 + 0.739493i
\(599\) 17.6585 30.5853i 0.721505 1.24968i −0.238892 0.971046i \(-0.576784\pi\)
0.960397 0.278637i \(-0.0898826\pi\)
\(600\) −7.21461 + 3.00690i −0.294535 + 0.122756i
\(601\) −17.7029 −0.722115 −0.361057 0.932544i \(-0.617584\pi\)
−0.361057 + 0.932544i \(0.617584\pi\)
\(602\) −11.3909 + 11.7589i −0.464258 + 0.479255i
\(603\) 6.27092i 0.255371i
\(604\) −0.298524 + 0.172353i −0.0121468 + 0.00701294i
\(605\) −2.41593 + 24.4778i −0.0982216 + 0.995165i
\(606\) −2.12617 + 3.68263i −0.0863696 + 0.149597i
\(607\) −8.30150 + 4.79288i −0.336948 + 0.194537i −0.658921 0.752212i \(-0.728987\pi\)
0.321974 + 0.946749i \(0.395654\pi\)
\(608\) 5.79951 0.235201
\(609\) 4.50207 17.9376i 0.182433 0.726869i
\(610\) 5.75053 5.05422i 0.232832 0.204639i
\(611\) 22.1645 12.7967i 0.896678 0.517697i
\(612\) −3.53526 2.04108i −0.142904 0.0825058i
\(613\) 1.69971 2.94399i 0.0686508 0.118907i −0.829657 0.558274i \(-0.811464\pi\)
0.898308 + 0.439367i \(0.144797\pi\)
\(614\) −6.40499 + 3.69792i −0.258484 + 0.149236i
\(615\) 18.3077 16.0909i 0.738237 0.648847i
\(616\) 8.10325 + 3.36710i 0.326489 + 0.135664i
\(617\) 2.52801i 0.101774i −0.998704 0.0508870i \(-0.983795\pi\)
0.998704 0.0508870i \(-0.0162048\pi\)
\(618\) −15.0466 26.0615i −0.605264 1.04835i
\(619\) 10.7041 + 6.18003i 0.430235 + 0.248396i 0.699447 0.714685i \(-0.253430\pi\)
−0.269212 + 0.963081i \(0.586763\pi\)
\(620\) −2.18256 + 0.436622i −0.0876538 + 0.0175351i
\(621\) −41.6155 + 24.0267i −1.66997 + 0.964158i
\(622\) 12.2376i 0.490682i
\(623\) −7.21074 6.98509i −0.288892 0.279852i
\(624\) 3.77638i 0.151176i
\(625\) 6.57611 + 24.1196i 0.263044 + 0.964784i
\(626\) −10.3410 + 17.9111i −0.413309 + 0.715872i
\(627\) −18.7076 + 23.5400i −0.747110 + 0.940097i
\(628\) 9.08338 + 15.7329i 0.362466 + 0.627810i
\(629\) 27.1944 1.08431
\(630\) 2.76722 + 1.78176i 0.110249 + 0.0709869i
\(631\) −3.86853 −0.154004 −0.0770018 0.997031i \(-0.524535\pi\)
−0.0770018 + 0.997031i \(0.524535\pi\)
\(632\) −2.68359 + 1.54937i −0.106747 + 0.0616307i
\(633\) 30.2615 + 17.4715i 1.20279 + 0.694429i
\(634\) −6.76443 3.90544i −0.268650 0.155105i
\(635\) 16.5098 + 5.58420i 0.655173 + 0.221602i
\(636\) 2.78058i 0.110257i
\(637\) 8.91633 + 14.3686i 0.353278 + 0.569305i
\(638\) −2.18562 + 14.6685i −0.0865293 + 0.580733i
\(639\) 0.219355 + 0.379934i 0.00867754 + 0.0150299i
\(640\) −0.438635 2.19262i −0.0173386 0.0866711i
\(641\) 4.08934 7.08294i 0.161519 0.279760i −0.773895 0.633315i \(-0.781694\pi\)
0.935414 + 0.353555i \(0.115027\pi\)
\(642\) 13.1693 + 22.8099i 0.519751 + 0.900234i
\(643\) −28.2230 −1.11301 −0.556504 0.830845i \(-0.687858\pi\)
−0.556504 + 0.830845i \(0.687858\pi\)
\(644\) 21.9930 6.26932i 0.866648 0.247046i
\(645\) −16.2462 + 14.2790i −0.639694 + 0.562236i
\(646\) −36.8543 + 21.2778i −1.45001 + 0.837165i
\(647\) −8.01674 + 13.8854i −0.315171 + 0.545892i −0.979474 0.201572i \(-0.935395\pi\)
0.664303 + 0.747463i \(0.268728\pi\)
\(648\) −3.51078 + 6.08084i −0.137916 + 0.238878i
\(649\) 26.3032 10.3745i 1.03249 0.407236i
\(650\) 11.9789 + 1.55038i 0.469850 + 0.0608111i
\(651\) −2.95701 2.86447i −0.115894 0.112268i
\(652\) 6.15027i 0.240863i
\(653\) −39.3535 + 22.7208i −1.54002 + 0.889132i −0.541185 + 0.840904i \(0.682024\pi\)
−0.998836 + 0.0482281i \(0.984643\pi\)
\(654\) −21.0707 12.1652i −0.823930 0.475696i
\(655\) −4.86298 24.3088i −0.190012 0.949823i
\(656\) 3.48649 + 6.03877i 0.136124 + 0.235774i
\(657\) 5.17060i 0.201724i
\(658\) −27.1868 6.82346i −1.05985 0.266006i
\(659\) 48.4979i 1.88921i −0.328212 0.944604i \(-0.606446\pi\)
0.328212 0.944604i \(-0.393554\pi\)
\(660\) 10.3147 + 5.29240i 0.401499 + 0.206006i
\(661\) −17.2004 9.93066i −0.669018 0.386258i 0.126686 0.991943i \(-0.459566\pi\)
−0.795705 + 0.605685i \(0.792899\pi\)
\(662\) 9.35906 16.2104i 0.363750 0.630034i
\(663\) −13.8551 23.9978i −0.538089 0.931998i
\(664\) 11.1034i 0.430894i
\(665\) 30.5098 15.6956i 1.18312 0.608651i
\(666\) 2.06176i 0.0798914i
\(667\) 19.3255 + 33.4727i 0.748285 + 1.29607i
\(668\) 1.68578 + 0.973287i 0.0652249 + 0.0376576i
\(669\) 16.2929 28.2201i 0.629920 1.09105i
\(670\) −8.07586 + 23.8765i −0.311998 + 0.922430i
\(671\) −11.2316 1.67351i −0.433592 0.0646053i
\(672\) 2.87768 2.97064i 0.111009 0.114595i
\(673\) −15.0386 −0.579695 −0.289848 0.957073i \(-0.593605\pi\)
−0.289848 + 0.957073i \(0.593605\pi\)
\(674\) 1.55200 + 2.68814i 0.0597806 + 0.103543i
\(675\) 22.0896 + 16.8732i 0.850228 + 0.649452i
\(676\) −3.58206 + 6.20432i −0.137772 + 0.238628i
\(677\) 3.39917 1.96251i 0.130641 0.0754254i −0.433255 0.901271i \(-0.642635\pi\)
0.563896 + 0.825846i \(0.309302\pi\)
\(678\) 12.0436i 0.462532i
\(679\) 0.997868 + 3.50057i 0.0382947 + 0.134339i
\(680\) 10.8319 + 12.3242i 0.415385 + 0.472612i
\(681\) −16.2540 + 9.38426i −0.622855 + 0.359606i
\(682\) 2.58461 + 2.05403i 0.0989699 + 0.0786530i
\(683\) −38.8580 22.4347i −1.48686 0.858440i −0.486974 0.873417i \(-0.661899\pi\)
−0.999888 + 0.0149766i \(0.995233\pi\)
\(684\) −1.61319 2.79413i −0.0616818 0.106836i
\(685\) 13.1487 + 14.9602i 0.502386 + 0.571599i
\(686\) 3.93526 18.0973i 0.150249 0.690960i
\(687\) 1.79717i 0.0685663i
\(688\) −3.09391 5.35880i −0.117954 0.204302i
\(689\) 2.14851 3.72132i 0.0818516 0.141771i
\(690\) 29.6270 5.92689i 1.12788 0.225633i
\(691\) −16.0707 + 9.27845i −0.611360 + 0.352969i −0.773498 0.633799i \(-0.781495\pi\)
0.162137 + 0.986768i \(0.448161\pi\)
\(692\) 13.1901i 0.501413i
\(693\) −0.631776 4.84063i −0.0239992 0.183880i
\(694\) −14.0289 −0.532528
\(695\) −38.9827 13.1853i −1.47870 0.500147i
\(696\) 6.05357 + 3.49503i 0.229460 + 0.132479i
\(697\) −44.3113 25.5832i −1.67841 0.969031i
\(698\) −5.45618 9.45038i −0.206520 0.357702i
\(699\) 0.0323917 0.00122517
\(700\) −8.24161 10.3477i −0.311504 0.391108i
\(701\) 20.4291i 0.771598i 0.922583 + 0.385799i \(0.126074\pi\)
−0.922583 + 0.385799i \(0.873926\pi\)
\(702\) 11.6307 6.71500i 0.438973 0.253441i
\(703\) 18.6138 + 10.7467i 0.702033 + 0.405319i
\(704\) −2.06350 + 2.59653i −0.0777712 + 0.0978603i
\(705\) −35.0800 11.8653i −1.32119 0.446872i
\(706\) 3.91688 0.147414
\(707\) −6.98054 1.75201i −0.262530 0.0658910i
\(708\) 13.3270i 0.500860i
\(709\) −13.1689 22.8093i −0.494570 0.856620i 0.505411 0.862879i \(-0.331341\pi\)
−0.999980 + 0.00625917i \(0.998008\pi\)
\(710\) −0.345904 1.72909i −0.0129816 0.0648915i
\(711\) 1.49293 + 0.861945i 0.0559893 + 0.0323255i
\(712\) 3.28611 1.89724i 0.123152 0.0711020i
\(713\) 8.60406 0.322225
\(714\) −7.38787 + 29.4355i −0.276484 + 1.10160i
\(715\) −9.71507 15.0529i −0.363323 0.562947i
\(716\) −5.38578 9.32844i −0.201276 0.348620i
\(717\) 5.07646 + 2.93089i 0.189584 + 0.109456i
\(718\) −11.8456 6.83908i −0.442075 0.255232i
\(719\) 39.2384 22.6543i 1.46335 0.844863i 0.464181 0.885740i \(-0.346349\pi\)
0.999164 + 0.0408772i \(0.0130152\pi\)
\(720\) −0.934366 + 0.821228i −0.0348218 + 0.0306054i
\(721\) 35.4378 36.5826i 1.31977 1.36241i
\(722\) −14.6343 −0.544632
\(723\) −15.0806 26.1204i −0.560854 0.971427i
\(724\) −4.08908 2.36083i −0.151969 0.0877395i
\(725\) 13.5717 17.7674i 0.504040 0.659863i
\(726\) −3.88292 16.7514i −0.144109 0.621702i
\(727\) −18.1010 −0.671329 −0.335665 0.941982i \(-0.608961\pi\)
−0.335665 + 0.941982i \(0.608961\pi\)
\(728\) −6.14663 + 1.75215i −0.227809 + 0.0649391i
\(729\) 29.9778 1.11029
\(730\) 6.65884 19.6871i 0.246455 0.728651i
\(731\) 39.3218 + 22.7025i 1.45437 + 0.839681i
\(732\) −2.67613 + 4.63519i −0.0989125 + 0.171321i
\(733\) 9.66386 5.57943i 0.356943 0.206081i −0.310796 0.950477i \(-0.600596\pi\)
0.667739 + 0.744396i \(0.267262\pi\)
\(734\) 0.380135 0.0140310
\(735\) 7.09910 23.4159i 0.261854 0.863709i
\(736\) 8.64373i 0.318612i
\(737\) 34.7781 13.7172i 1.28107 0.505278i
\(738\) 1.93960 3.35949i 0.0713977 0.123664i
\(739\) −39.9416 23.0603i −1.46928 0.848287i −0.469870 0.882735i \(-0.655699\pi\)
−0.999406 + 0.0344480i \(0.989033\pi\)
\(740\) 2.65519 7.85014i 0.0976066 0.288577i
\(741\) 21.9011i 0.804558i
\(742\) −4.52583 + 1.29013i −0.166148 + 0.0473621i
\(743\) 17.7370 0.650706 0.325353 0.945593i \(-0.394517\pi\)
0.325353 + 0.945593i \(0.394517\pi\)
\(744\) 1.34758 0.778027i 0.0494047 0.0285238i
\(745\) −7.32160 + 1.46469i −0.268243 + 0.0536620i
\(746\) −3.71164 + 6.42875i −0.135893 + 0.235373i
\(747\) 5.34945 3.08851i 0.195726 0.113003i
\(748\) 3.58658 24.0710i 0.131138 0.880123i
\(749\) −31.0163 + 32.0183i −1.13331 + 1.16992i
\(750\) −9.75759 14.5000i −0.356297 0.529465i
\(751\) 15.9123 + 27.5609i 0.580648 + 1.00571i 0.995403 + 0.0957789i \(0.0305342\pi\)
−0.414754 + 0.909933i \(0.636132\pi\)
\(752\) 5.29717 9.17496i 0.193168 0.334576i
\(753\) −2.52160 1.45585i −0.0918922 0.0530540i
\(754\) −5.40109 9.35497i −0.196696 0.340688i
\(755\) −0.508848 0.578951i −0.0185189 0.0210702i
\(756\) −14.2661 3.58058i −0.518855 0.130225i
\(757\) 30.9859i 1.12620i −0.826388 0.563101i \(-0.809608\pi\)
0.826388 0.563101i \(-0.190392\pi\)
\(758\) −6.04536 10.4709i −0.219577 0.380319i
\(759\) −35.0846 27.8823i −1.27349 1.01206i
\(760\) 2.54387 + 12.7161i 0.0922757 + 0.461263i
\(761\) −12.4190 21.5103i −0.450187 0.779747i 0.548210 0.836341i \(-0.315309\pi\)
−0.998397 + 0.0565938i \(0.981976\pi\)
\(762\) −12.1843 −0.441391
\(763\) 10.0244 39.9402i 0.362907 1.44593i
\(764\) 15.6178 0.565031
\(765\) 2.92464 8.64677i 0.105740 0.312625i
\(766\) 7.34126 12.7154i 0.265251 0.459428i
\(767\) −10.2975 + 17.8359i −0.371822 + 0.644015i
\(768\) 0.781614 + 1.35379i 0.0282041 + 0.0488509i
\(769\) 16.6967 0.602099 0.301049 0.953609i \(-0.402663\pi\)
0.301049 + 0.953609i \(0.402663\pi\)
\(770\) −3.82841 + 19.2443i −0.137966 + 0.693517i
\(771\) −8.02303 −0.288942
\(772\) 0.956755 + 1.65715i 0.0344344 + 0.0596421i
\(773\) 1.87123 3.24107i 0.0673036 0.116573i −0.830410 0.557153i \(-0.811894\pi\)
0.897714 + 0.440580i \(0.145227\pi\)
\(774\) −1.72120 + 2.98121i