Properties

Label 546.2.j.c.529.4
Level $546$
Weight $2$
Character 546.529
Analytic conductor $4.360$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.j (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.447703281.1
Defining polynomial: \(x^{8} - x^{7} - 2 x^{6} + 2 x^{5} + 3 x^{4} + 4 x^{3} - 8 x^{2} - 8 x + 16\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 529.4
Root \(-1.38232 + 0.298668i\) of defining polynomial
Character \(\chi\) \(=\) 546.529
Dual form 546.2.j.c.289.4

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(-0.500000 - 0.866025i) q^{3} +1.00000 q^{4} +(1.75410 + 3.03819i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(-2.63641 - 0.222079i) q^{7} +1.00000 q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(-0.500000 - 0.866025i) q^{3} +1.00000 q^{4} +(1.75410 + 3.03819i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(-2.63641 - 0.222079i) q^{7} +1.00000 q^{8} +(-0.500000 + 0.866025i) q^{9} +(1.75410 + 3.03819i) q^{10} +(3.20391 + 5.54934i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(-0.213022 - 3.59925i) q^{13} +(-2.63641 - 0.222079i) q^{14} +(1.75410 - 3.03819i) q^{15} +1.00000 q^{16} +4.67781 q^{17} +(-0.500000 + 0.866025i) q^{18} +(-2.61911 + 4.53642i) q^{19} +(1.75410 + 3.03819i) q^{20} +(1.12588 + 2.39424i) q^{21} +(3.20391 + 5.54934i) q^{22} -2.16961 q^{23} +(-0.500000 - 0.866025i) q^{24} +(-3.65372 + 6.32843i) q^{25} +(-0.213022 - 3.59925i) q^{26} +1.00000 q^{27} +(-2.63641 - 0.222079i) q^{28} +(-1.23033 + 2.13099i) q^{29} +(1.75410 - 3.03819i) q^{30} +(4.46035 - 7.72555i) q^{31} +1.00000 q^{32} +(3.20391 - 5.54934i) q^{33} +4.67781 q^{34} +(-3.94981 - 8.39947i) q^{35} +(-0.500000 + 0.866025i) q^{36} +3.89962 q^{37} +(-2.61911 + 4.53642i) q^{38} +(-3.01053 + 1.98411i) q^{39} +(1.75410 + 3.03819i) q^{40} +(5.09300 - 8.82134i) q^{41} +(1.12588 + 2.39424i) q^{42} +(-1.19338 - 2.06699i) q^{43} +(3.20391 + 5.54934i) q^{44} -3.50820 q^{45} -2.16961 q^{46} +(-2.44070 - 4.22742i) q^{47} +(-0.500000 - 0.866025i) q^{48} +(6.90136 + 1.17099i) q^{49} +(-3.65372 + 6.32843i) q^{50} +(-2.33890 - 4.05110i) q^{51} +(-0.213022 - 3.59925i) q^{52} +(-1.05395 + 1.82549i) q^{53} +1.00000 q^{54} +(-11.2399 + 19.4682i) q^{55} +(-2.63641 - 0.222079i) q^{56} +5.23821 q^{57} +(-1.23033 + 2.13099i) q^{58} -11.7946 q^{59} +(1.75410 - 3.03819i) q^{60} +(-4.67781 + 8.10220i) q^{61} +(4.46035 - 7.72555i) q^{62} +(1.51053 - 2.17216i) q^{63} +1.00000 q^{64} +(10.5615 - 6.96065i) q^{65} +(3.20391 - 5.54934i) q^{66} +(-3.64461 - 6.31265i) q^{67} +4.67781 q^{68} +(1.08480 + 1.87894i) q^{69} +(-3.94981 - 8.39947i) q^{70} +(2.79339 + 4.83829i) q^{71} +(-0.500000 + 0.866025i) q^{72} +(4.23175 - 7.32961i) q^{73} +3.89962 q^{74} +7.30745 q^{75} +(-2.61911 + 4.53642i) q^{76} +(-7.21444 - 15.3419i) q^{77} +(-3.01053 + 1.98411i) q^{78} +(0.893764 + 1.54804i) q^{79} +(1.75410 + 3.03819i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(5.09300 - 8.82134i) q^{82} -2.59218 q^{83} +(1.12588 + 2.39424i) q^{84} +(8.20533 + 14.2121i) q^{85} +(-1.19338 - 2.06699i) q^{86} +2.46066 q^{87} +(3.20391 + 5.54934i) q^{88} +7.00752 q^{89} -3.50820 q^{90} +(-0.237705 + 9.53643i) q^{91} -2.16961 q^{92} -8.92069 q^{93} +(-2.44070 - 4.22742i) q^{94} -18.3767 q^{95} +(-0.500000 - 0.866025i) q^{96} +(-4.92513 - 8.53057i) q^{97} +(6.90136 + 1.17099i) q^{98} -6.40782 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 8q^{2} - 4q^{3} + 8q^{4} + 2q^{5} - 4q^{6} + 3q^{7} + 8q^{8} - 4q^{9} + O(q^{10}) \) \( 8q + 8q^{2} - 4q^{3} + 8q^{4} + 2q^{5} - 4q^{6} + 3q^{7} + 8q^{8} - 4q^{9} + 2q^{10} + 4q^{11} - 4q^{12} + 3q^{13} + 3q^{14} + 2q^{15} + 8q^{16} + 4q^{17} - 4q^{18} - 4q^{19} + 2q^{20} - 3q^{21} + 4q^{22} - 8q^{23} - 4q^{24} + 2q^{25} + 3q^{26} + 8q^{27} + 3q^{28} + 2q^{29} + 2q^{30} + 14q^{31} + 8q^{32} + 4q^{33} + 4q^{34} - 22q^{35} - 4q^{36} + 12q^{37} - 4q^{38} - 12q^{39} + 2q^{40} + 12q^{41} - 3q^{42} + 4q^{44} - 4q^{45} - 8q^{46} + 7q^{47} - 4q^{48} + 5q^{49} + 2q^{50} - 2q^{51} + 3q^{52} - q^{53} + 8q^{54} - 25q^{55} + 3q^{56} + 8q^{57} + 2q^{58} - 32q^{59} + 2q^{60} - 4q^{61} + 14q^{62} + 8q^{64} + 10q^{65} + 4q^{66} + 19q^{67} + 4q^{68} + 4q^{69} - 22q^{70} + 20q^{71} - 4q^{72} - 7q^{73} + 12q^{74} - 4q^{75} - 4q^{76} - 24q^{77} - 12q^{78} + 24q^{79} + 2q^{80} - 4q^{81} + 12q^{82} - 64q^{83} - 3q^{84} + 15q^{85} - 4q^{87} + 4q^{88} + 22q^{89} - 4q^{90} - 38q^{91} - 8q^{92} - 28q^{93} + 7q^{94} - 56q^{95} - 4q^{96} + 11q^{97} + 5q^{98} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) −0.500000 0.866025i −0.288675 0.500000i
\(4\) 1.00000 0.500000
\(5\) 1.75410 + 3.03819i 0.784457 + 1.35872i 0.929323 + 0.369268i \(0.120391\pi\)
−0.144866 + 0.989451i \(0.546275\pi\)
\(6\) −0.500000 0.866025i −0.204124 0.353553i
\(7\) −2.63641 0.222079i −0.996471 0.0839380i
\(8\) 1.00000 0.353553
\(9\) −0.500000 + 0.866025i −0.166667 + 0.288675i
\(10\) 1.75410 + 3.03819i 0.554695 + 0.960759i
\(11\) 3.20391 + 5.54934i 0.966015 + 1.67319i 0.706862 + 0.707352i \(0.250110\pi\)
0.259154 + 0.965836i \(0.416556\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) −0.213022 3.59925i −0.0590817 0.998253i
\(14\) −2.63641 0.222079i −0.704611 0.0593532i
\(15\) 1.75410 3.03819i 0.452906 0.784457i
\(16\) 1.00000 0.250000
\(17\) 4.67781 1.13453 0.567267 0.823534i \(-0.308001\pi\)
0.567267 + 0.823534i \(0.308001\pi\)
\(18\) −0.500000 + 0.866025i −0.117851 + 0.204124i
\(19\) −2.61911 + 4.53642i −0.600864 + 1.04073i 0.391826 + 0.920039i \(0.371843\pi\)
−0.992690 + 0.120688i \(0.961490\pi\)
\(20\) 1.75410 + 3.03819i 0.392228 + 0.679359i
\(21\) 1.12588 + 2.39424i 0.245687 + 0.522466i
\(22\) 3.20391 + 5.54934i 0.683076 + 1.18312i
\(23\) −2.16961 −0.452395 −0.226197 0.974081i \(-0.572629\pi\)
−0.226197 + 0.974081i \(0.572629\pi\)
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) −3.65372 + 6.32843i −0.730745 + 1.26569i
\(26\) −0.213022 3.59925i −0.0417771 0.705872i
\(27\) 1.00000 0.192450
\(28\) −2.63641 0.222079i −0.498235 0.0419690i
\(29\) −1.23033 + 2.13099i −0.228467 + 0.395716i −0.957354 0.288918i \(-0.906705\pi\)
0.728887 + 0.684634i \(0.240038\pi\)
\(30\) 1.75410 3.03819i 0.320253 0.554695i
\(31\) 4.46035 7.72555i 0.801102 1.38755i −0.117790 0.993039i \(-0.537581\pi\)
0.918892 0.394510i \(-0.129086\pi\)
\(32\) 1.00000 0.176777
\(33\) 3.20391 5.54934i 0.557729 0.966015i
\(34\) 4.67781 0.802237
\(35\) −3.94981 8.39947i −0.667640 1.41977i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) 3.89962 0.641094 0.320547 0.947233i \(-0.396133\pi\)
0.320547 + 0.947233i \(0.396133\pi\)
\(38\) −2.61911 + 4.53642i −0.424875 + 0.735905i
\(39\) −3.01053 + 1.98411i −0.482071 + 0.317712i
\(40\) 1.75410 + 3.03819i 0.277347 + 0.480380i
\(41\) 5.09300 8.82134i 0.795393 1.37766i −0.127196 0.991878i \(-0.540598\pi\)
0.922589 0.385784i \(-0.126069\pi\)
\(42\) 1.12588 + 2.39424i 0.173727 + 0.369439i
\(43\) −1.19338 2.06699i −0.181988 0.315213i 0.760569 0.649257i \(-0.224920\pi\)
−0.942558 + 0.334044i \(0.891587\pi\)
\(44\) 3.20391 + 5.54934i 0.483008 + 0.836594i
\(45\) −3.50820 −0.522971
\(46\) −2.16961 −0.319891
\(47\) −2.44070 4.22742i −0.356013 0.616632i 0.631278 0.775557i \(-0.282531\pi\)
−0.987291 + 0.158924i \(0.949197\pi\)
\(48\) −0.500000 0.866025i −0.0721688 0.125000i
\(49\) 6.90136 + 1.17099i 0.985909 + 0.167284i
\(50\) −3.65372 + 6.32843i −0.516714 + 0.894976i
\(51\) −2.33890 4.05110i −0.327512 0.567267i
\(52\) −0.213022 3.59925i −0.0295409 0.499127i
\(53\) −1.05395 + 1.82549i −0.144771 + 0.250750i −0.929287 0.369358i \(-0.879578\pi\)
0.784517 + 0.620108i \(0.212911\pi\)
\(54\) 1.00000 0.136083
\(55\) −11.2399 + 19.4682i −1.51559 + 2.62509i
\(56\) −2.63641 0.222079i −0.352306 0.0296766i
\(57\) 5.23821 0.693818
\(58\) −1.23033 + 2.13099i −0.161550 + 0.279813i
\(59\) −11.7946 −1.53552 −0.767761 0.640736i \(-0.778629\pi\)
−0.767761 + 0.640736i \(0.778629\pi\)
\(60\) 1.75410 3.03819i 0.226453 0.392228i
\(61\) −4.67781 + 8.10220i −0.598932 + 1.03738i 0.394047 + 0.919090i \(0.371075\pi\)
−0.992979 + 0.118290i \(0.962259\pi\)
\(62\) 4.46035 7.72555i 0.566464 0.981145i
\(63\) 1.51053 2.17216i 0.190309 0.273667i
\(64\) 1.00000 0.125000
\(65\) 10.5615 6.96065i 1.31000 0.863362i
\(66\) 3.20391 5.54934i 0.394374 0.683076i
\(67\) −3.64461 6.31265i −0.445260 0.771213i 0.552810 0.833307i \(-0.313555\pi\)
−0.998070 + 0.0620940i \(0.980222\pi\)
\(68\) 4.67781 0.567267
\(69\) 1.08480 + 1.87894i 0.130595 + 0.226197i
\(70\) −3.94981 8.39947i −0.472093 1.00393i
\(71\) 2.79339 + 4.83829i 0.331514 + 0.574199i 0.982809 0.184625i \(-0.0591072\pi\)
−0.651295 + 0.758825i \(0.725774\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 4.23175 7.32961i 0.495289 0.857866i −0.504696 0.863297i \(-0.668395\pi\)
0.999985 + 0.00543110i \(0.00172878\pi\)
\(74\) 3.89962 0.453322
\(75\) 7.30745 0.843791
\(76\) −2.61911 + 4.53642i −0.300432 + 0.520364i
\(77\) −7.21444 15.3419i −0.822162 1.74837i
\(78\) −3.01053 + 1.98411i −0.340876 + 0.224656i
\(79\) 0.893764 + 1.54804i 0.100556 + 0.174169i 0.911914 0.410381i \(-0.134604\pi\)
−0.811358 + 0.584550i \(0.801271\pi\)
\(80\) 1.75410 + 3.03819i 0.196114 + 0.339680i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 5.09300 8.82134i 0.562428 0.974154i
\(83\) −2.59218 −0.284529 −0.142264 0.989829i \(-0.545438\pi\)
−0.142264 + 0.989829i \(0.545438\pi\)
\(84\) 1.12588 + 2.39424i 0.122844 + 0.261233i
\(85\) 8.20533 + 14.2121i 0.889993 + 1.54151i
\(86\) −1.19338 2.06699i −0.128685 0.222889i
\(87\) 2.46066 0.263811
\(88\) 3.20391 + 5.54934i 0.341538 + 0.591561i
\(89\) 7.00752 0.742795 0.371398 0.928474i \(-0.378879\pi\)
0.371398 + 0.928474i \(0.378879\pi\)
\(90\) −3.50820 −0.369796
\(91\) −0.237705 + 9.53643i −0.0249182 + 0.999689i
\(92\) −2.16961 −0.226197
\(93\) −8.92069 −0.925033
\(94\) −2.44070 4.22742i −0.251739 0.436025i
\(95\) −18.3767 −1.88541
\(96\) −0.500000 0.866025i −0.0510310 0.0883883i
\(97\) −4.92513 8.53057i −0.500071 0.866149i −1.00000 8.21569e-5i \(-0.999974\pi\)
0.499929 0.866066i \(-0.333359\pi\)
\(98\) 6.90136 + 1.17099i 0.697143 + 0.118287i
\(99\) −6.40782 −0.644010
\(100\) −3.65372 + 6.32843i −0.365372 + 0.632843i
\(101\) −6.91016 11.9687i −0.687586 1.19093i −0.972616 0.232416i \(-0.925337\pi\)
0.285030 0.958519i \(-0.407996\pi\)
\(102\) −2.33890 4.05110i −0.231586 0.401119i
\(103\) −6.56658 11.3737i −0.647025 1.12068i −0.983830 0.179105i \(-0.942680\pi\)
0.336805 0.941574i \(-0.390654\pi\)
\(104\) −0.213022 3.59925i −0.0208885 0.352936i
\(105\) −5.29925 + 7.62037i −0.517154 + 0.743672i
\(106\) −1.05395 + 1.82549i −0.102368 + 0.177307i
\(107\) −9.76463 −0.943983 −0.471991 0.881603i \(-0.656465\pi\)
−0.471991 + 0.881603i \(0.656465\pi\)
\(108\) 1.00000 0.0962250
\(109\) 1.14786 1.98816i 0.109945 0.190431i −0.805803 0.592184i \(-0.798266\pi\)
0.915748 + 0.401753i \(0.131599\pi\)
\(110\) −11.2399 + 19.4682i −1.07169 + 1.85622i
\(111\) −1.94981 3.37717i −0.185068 0.320547i
\(112\) −2.63641 0.222079i −0.249118 0.0209845i
\(113\) 1.96268 + 3.39947i 0.184634 + 0.319795i 0.943453 0.331506i \(-0.107557\pi\)
−0.758819 + 0.651301i \(0.774223\pi\)
\(114\) 5.23821 0.490604
\(115\) −3.80571 6.59168i −0.354884 0.614677i
\(116\) −1.23033 + 2.13099i −0.114233 + 0.197858i
\(117\) 3.22356 + 1.61514i 0.298018 + 0.149320i
\(118\) −11.7946 −1.08578
\(119\) −12.3326 1.03884i −1.13053 0.0952306i
\(120\) 1.75410 3.03819i 0.160127 0.277347i
\(121\) −15.0301 + 26.0329i −1.36637 + 2.36662i
\(122\) −4.67781 + 8.10220i −0.423509 + 0.733539i
\(123\) −10.1860 −0.918441
\(124\) 4.46035 7.72555i 0.400551 0.693774i
\(125\) −8.09497 −0.724036
\(126\) 1.51053 2.17216i 0.134569 0.193512i
\(127\) 3.51196 6.08289i 0.311636 0.539769i −0.667081 0.744985i \(-0.732457\pi\)
0.978717 + 0.205216i \(0.0657898\pi\)
\(128\) 1.00000 0.0883883
\(129\) −1.19338 + 2.06699i −0.105071 + 0.181988i
\(130\) 10.5615 6.96065i 0.926309 0.610489i
\(131\) −4.56251 7.90250i −0.398628 0.690444i 0.594929 0.803778i \(-0.297180\pi\)
−0.993557 + 0.113334i \(0.963847\pi\)
\(132\) 3.20391 5.54934i 0.278865 0.483008i
\(133\) 7.91249 11.3782i 0.686100 0.986619i
\(134\) −3.64461 6.31265i −0.314846 0.545330i
\(135\) 1.75410 + 3.03819i 0.150969 + 0.261486i
\(136\) 4.67781 0.401119
\(137\) 15.0674 1.28730 0.643648 0.765322i \(-0.277420\pi\)
0.643648 + 0.765322i \(0.277420\pi\)
\(138\) 1.08480 + 1.87894i 0.0923447 + 0.159946i
\(139\) 7.02519 + 12.1680i 0.595869 + 1.03208i 0.993424 + 0.114497i \(0.0365255\pi\)
−0.397555 + 0.917578i \(0.630141\pi\)
\(140\) −3.94981 8.39947i −0.333820 0.709885i
\(141\) −2.44070 + 4.22742i −0.205544 + 0.356013i
\(142\) 2.79339 + 4.83829i 0.234416 + 0.406020i
\(143\) 19.2910 12.7138i 1.61319 1.06318i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −8.63248 −0.716889
\(146\) 4.23175 7.32961i 0.350222 0.606603i
\(147\) −2.43658 6.56225i −0.200966 0.541245i
\(148\) 3.89962 0.320547
\(149\) −0.614668 + 1.06464i −0.0503555 + 0.0872183i −0.890104 0.455757i \(-0.849369\pi\)
0.839749 + 0.542975i \(0.182702\pi\)
\(150\) 7.30745 0.596650
\(151\) 8.17245 14.1551i 0.665065 1.15193i −0.314203 0.949356i \(-0.601737\pi\)
0.979268 0.202570i \(-0.0649294\pi\)
\(152\) −2.61911 + 4.53642i −0.212438 + 0.367953i
\(153\) −2.33890 + 4.05110i −0.189089 + 0.327512i
\(154\) −7.21444 15.3419i −0.581356 1.23628i
\(155\) 31.2955 2.51372
\(156\) −3.01053 + 1.98411i −0.241036 + 0.158856i
\(157\) −7.98494 + 13.8303i −0.637267 + 1.10378i 0.348763 + 0.937211i \(0.386602\pi\)
−0.986030 + 0.166568i \(0.946731\pi\)
\(158\) 0.893764 + 1.54804i 0.0711040 + 0.123156i
\(159\) 2.10789 0.167167
\(160\) 1.75410 + 3.03819i 0.138674 + 0.240190i
\(161\) 5.71999 + 0.481825i 0.450798 + 0.0379731i
\(162\) −0.500000 0.866025i −0.0392837 0.0680414i
\(163\) −3.89316 + 6.74316i −0.304936 + 0.528165i −0.977247 0.212104i \(-0.931968\pi\)
0.672311 + 0.740269i \(0.265302\pi\)
\(164\) 5.09300 8.82134i 0.397697 0.688831i
\(165\) 22.4799 1.75006
\(166\) −2.59218 −0.201192
\(167\) 3.32333 5.75618i 0.257167 0.445427i −0.708315 0.705897i \(-0.750544\pi\)
0.965482 + 0.260470i \(0.0838776\pi\)
\(168\) 1.12588 + 2.39424i 0.0868636 + 0.184720i
\(169\) −12.9092 + 1.53344i −0.993019 + 0.117957i
\(170\) 8.20533 + 14.2121i 0.629320 + 1.09001i
\(171\) −2.61911 4.53642i −0.200288 0.346909i
\(172\) −1.19338 2.06699i −0.0909942 0.157607i
\(173\) 7.30337 12.6498i 0.555265 0.961747i −0.442618 0.896710i \(-0.645950\pi\)
0.997883 0.0650369i \(-0.0207165\pi\)
\(174\) 2.46066 0.186542
\(175\) 11.0381 15.8730i 0.834405 1.19988i
\(176\) 3.20391 + 5.54934i 0.241504 + 0.418297i
\(177\) 5.89729 + 10.2144i 0.443267 + 0.767761i
\(178\) 7.00752 0.525236
\(179\) 7.06425 + 12.2356i 0.528006 + 0.914534i 0.999467 + 0.0326468i \(0.0103937\pi\)
−0.471460 + 0.881887i \(0.656273\pi\)
\(180\) −3.50820 −0.261486
\(181\) −13.6453 −1.01425 −0.507124 0.861873i \(-0.669291\pi\)
−0.507124 + 0.861873i \(0.669291\pi\)
\(182\) −0.237705 + 9.53643i −0.0176198 + 0.706887i
\(183\) 9.35561 0.691587
\(184\) −2.16961 −0.159946
\(185\) 6.84033 + 11.8478i 0.502911 + 0.871067i
\(186\) −8.92069 −0.654097
\(187\) 14.9873 + 25.9587i 1.09598 + 1.89829i
\(188\) −2.44070 4.22742i −0.178006 0.308316i
\(189\) −2.63641 0.222079i −0.191771 0.0161539i
\(190\) −18.3767 −1.33318
\(191\) 1.21572 2.10569i 0.0879666 0.152363i −0.818685 0.574243i \(-0.805296\pi\)
0.906652 + 0.421880i \(0.138630\pi\)
\(192\) −0.500000 0.866025i −0.0360844 0.0625000i
\(193\) −1.75877 3.04628i −0.126599 0.219276i 0.795758 0.605615i \(-0.207073\pi\)
−0.922357 + 0.386339i \(0.873740\pi\)
\(194\) −4.92513 8.53057i −0.353604 0.612460i
\(195\) −11.3089 5.66624i −0.809845 0.405768i
\(196\) 6.90136 + 1.17099i 0.492954 + 0.0836418i
\(197\) 1.15702 2.00402i 0.0824345 0.142781i −0.821861 0.569689i \(-0.807064\pi\)
0.904295 + 0.426908i \(0.140397\pi\)
\(198\) −6.40782 −0.455384
\(199\) 5.69467 0.403684 0.201842 0.979418i \(-0.435307\pi\)
0.201842 + 0.979418i \(0.435307\pi\)
\(200\) −3.65372 + 6.32843i −0.258357 + 0.447488i
\(201\) −3.64461 + 6.31265i −0.257071 + 0.445260i
\(202\) −6.91016 11.9687i −0.486197 0.842118i
\(203\) 3.71691 5.34495i 0.260876 0.375142i
\(204\) −2.33890 4.05110i −0.163756 0.283634i
\(205\) 35.7345 2.49581
\(206\) −6.56658 11.3737i −0.457515 0.792440i
\(207\) 1.08480 1.87894i 0.0753991 0.130595i
\(208\) −0.213022 3.59925i −0.0147704 0.249563i
\(209\) −33.5655 −2.32178
\(210\) −5.29925 + 7.62037i −0.365683 + 0.525856i
\(211\) 0.291966 0.505700i 0.0200998 0.0348139i −0.855801 0.517306i \(-0.826935\pi\)
0.875900 + 0.482492i \(0.160268\pi\)
\(212\) −1.05395 + 1.82549i −0.0723853 + 0.125375i
\(213\) 2.79339 4.83829i 0.191400 0.331514i
\(214\) −9.76463 −0.667496
\(215\) 4.18660 7.25141i 0.285524 0.494542i
\(216\) 1.00000 0.0680414
\(217\) −13.4750 + 19.3772i −0.914743 + 1.31541i
\(218\) 1.14786 1.98816i 0.0777430 0.134655i
\(219\) −8.46350 −0.571911
\(220\) −11.2399 + 19.4682i −0.757797 + 1.31254i
\(221\) −0.996476 16.8366i −0.0670302 1.13255i
\(222\) −1.94981 3.37717i −0.130863 0.226661i
\(223\) −7.25749 + 12.5703i −0.485998 + 0.841773i −0.999870 0.0160938i \(-0.994877\pi\)
0.513873 + 0.857866i \(0.328210\pi\)
\(224\) −2.63641 0.222079i −0.176153 0.0148383i
\(225\) −3.65372 6.32843i −0.243582 0.421896i
\(226\) 1.96268 + 3.39947i 0.130556 + 0.226129i
\(227\) 20.2464 1.34380 0.671899 0.740643i \(-0.265479\pi\)
0.671899 + 0.740643i \(0.265479\pi\)
\(228\) 5.23821 0.346909
\(229\) −0.668929 1.15862i −0.0442041 0.0765637i 0.843077 0.537793i \(-0.180742\pi\)
−0.887281 + 0.461229i \(0.847409\pi\)
\(230\) −3.80571 6.59168i −0.250941 0.434643i
\(231\) −9.67923 + 13.9188i −0.636846 + 0.915792i
\(232\) −1.23033 + 2.13099i −0.0807752 + 0.139907i
\(233\) 6.97568 + 12.0822i 0.456992 + 0.791534i 0.998800 0.0489686i \(-0.0155934\pi\)
−0.541808 + 0.840502i \(0.682260\pi\)
\(234\) 3.22356 + 1.61514i 0.210730 + 0.105585i
\(235\) 8.56246 14.8306i 0.558553 0.967443i
\(236\) −11.7946 −0.767761
\(237\) 0.893764 1.54804i 0.0580562 0.100556i
\(238\) −12.3326 1.03884i −0.799406 0.0673382i
\(239\) 9.05495 0.585716 0.292858 0.956156i \(-0.405394\pi\)
0.292858 + 0.956156i \(0.405394\pi\)
\(240\) 1.75410 3.03819i 0.113227 0.196114i
\(241\) 20.1102 1.29541 0.647705 0.761891i \(-0.275729\pi\)
0.647705 + 0.761891i \(0.275729\pi\)
\(242\) −15.0301 + 26.0329i −0.966171 + 1.67346i
\(243\) −0.500000 + 0.866025i −0.0320750 + 0.0555556i
\(244\) −4.67781 + 8.10220i −0.299466 + 0.518690i
\(245\) 8.54799 + 23.0217i 0.546111 + 1.47080i
\(246\) −10.1860 −0.649436
\(247\) 16.8857 + 8.46047i 1.07441 + 0.538327i
\(248\) 4.46035 7.72555i 0.283232 0.490573i
\(249\) 1.29609 + 2.24489i 0.0821363 + 0.142264i
\(250\) −8.09497 −0.511971
\(251\) 4.09035 + 7.08469i 0.258181 + 0.447182i 0.965755 0.259457i \(-0.0835437\pi\)
−0.707574 + 0.706639i \(0.750210\pi\)
\(252\) 1.51053 2.17216i 0.0951547 0.136833i
\(253\) −6.95123 12.0399i −0.437020 0.756941i
\(254\) 3.51196 6.08289i 0.220360 0.381674i
\(255\) 8.20533 14.2121i 0.513838 0.889993i
\(256\) 1.00000 0.0625000
\(257\) 9.75393 0.608433 0.304217 0.952603i \(-0.401605\pi\)
0.304217 + 0.952603i \(0.401605\pi\)
\(258\) −1.19338 + 2.06699i −0.0742964 + 0.128685i
\(259\) −10.2810 0.866025i −0.638832 0.0538122i
\(260\) 10.5615 6.96065i 0.654999 0.431681i
\(261\) −1.23033 2.13099i −0.0761555 0.131905i
\(262\) −4.56251 7.90250i −0.281873 0.488218i
\(263\) 1.47358 + 2.55232i 0.0908648 + 0.157383i 0.907875 0.419240i \(-0.137704\pi\)
−0.817010 + 0.576623i \(0.804370\pi\)
\(264\) 3.20391 5.54934i 0.197187 0.341538i
\(265\) −7.39490 −0.454265
\(266\) 7.91249 11.3782i 0.485146 0.697645i
\(267\) −3.50376 6.06869i −0.214427 0.371398i
\(268\) −3.64461 6.31265i −0.222630 0.385607i
\(269\) −23.9353 −1.45936 −0.729679 0.683790i \(-0.760331\pi\)
−0.729679 + 0.683790i \(0.760331\pi\)
\(270\) 1.75410 + 3.03819i 0.106751 + 0.184898i
\(271\) 19.3667 1.17644 0.588222 0.808700i \(-0.299828\pi\)
0.588222 + 0.808700i \(0.299828\pi\)
\(272\) 4.67781 0.283634
\(273\) 8.37764 4.56236i 0.507038 0.276126i
\(274\) 15.0674 0.910255
\(275\) −46.8248 −2.82364
\(276\) 1.08480 + 1.87894i 0.0652976 + 0.113099i
\(277\) 2.43419 0.146256 0.0731282 0.997323i \(-0.476702\pi\)
0.0731282 + 0.997323i \(0.476702\pi\)
\(278\) 7.02519 + 12.1680i 0.421343 + 0.729787i
\(279\) 4.46035 + 7.72555i 0.267034 + 0.462516i
\(280\) −3.94981 8.39947i −0.236046 0.501964i
\(281\) −2.80329 −0.167230 −0.0836152 0.996498i \(-0.526647\pi\)
−0.0836152 + 0.996498i \(0.526647\pi\)
\(282\) −2.44070 + 4.22742i −0.145342 + 0.251739i
\(283\) 8.47705 + 14.6827i 0.503909 + 0.872795i 0.999990 + 0.00451916i \(0.00143850\pi\)
−0.496081 + 0.868276i \(0.665228\pi\)
\(284\) 2.79339 + 4.83829i 0.165757 + 0.287100i
\(285\) 9.18834 + 15.9147i 0.544270 + 0.942704i
\(286\) 19.2910 12.7138i 1.14070 0.751784i
\(287\) −15.3863 + 22.1257i −0.908224 + 1.30604i
\(288\) −0.500000 + 0.866025i −0.0294628 + 0.0510310i
\(289\) 4.88187 0.287169
\(290\) −8.63248 −0.506917
\(291\) −4.92513 + 8.53057i −0.288716 + 0.500071i
\(292\) 4.23175 7.32961i 0.247645 0.428933i
\(293\) 2.84568 + 4.92886i 0.166246 + 0.287947i 0.937097 0.349069i \(-0.113502\pi\)
−0.770851 + 0.637016i \(0.780169\pi\)
\(294\) −2.43658 6.56225i −0.142104 0.382718i
\(295\) −20.6888 35.8341i −1.20455 2.08634i
\(296\) 3.89962 0.226661
\(297\) 3.20391 + 5.54934i 0.185910 + 0.322005i
\(298\) −0.614668 + 1.06464i −0.0356067 + 0.0616727i
\(299\) 0.462175 + 7.80897i 0.0267283 + 0.451605i
\(300\) 7.30745 0.421896
\(301\) 2.68720 + 5.71447i 0.154888 + 0.329376i
\(302\) 8.17245 14.1551i 0.470272 0.814535i
\(303\) −6.91016 + 11.9687i −0.396978 + 0.687586i
\(304\) −2.61911 + 4.53642i −0.150216 + 0.260182i
\(305\) −32.8213 −1.87934
\(306\) −2.33890 + 4.05110i −0.133706 + 0.231586i
\(307\) 3.48603 0.198958 0.0994791 0.995040i \(-0.468282\pi\)
0.0994791 + 0.995040i \(0.468282\pi\)
\(308\) −7.21444 15.3419i −0.411081 0.874184i
\(309\) −6.56658 + 11.3737i −0.373560 + 0.647025i
\(310\) 31.2955 1.77747
\(311\) 12.0016 20.7873i 0.680546 1.17874i −0.294268 0.955723i \(-0.595076\pi\)
0.974814 0.223018i \(-0.0715908\pi\)
\(312\) −3.01053 + 1.98411i −0.170438 + 0.112328i
\(313\) −8.77758 15.2032i −0.496138 0.859337i 0.503852 0.863790i \(-0.331916\pi\)
−0.999990 + 0.00445337i \(0.998582\pi\)
\(314\) −7.98494 + 13.8303i −0.450616 + 0.780490i
\(315\) 9.24906 + 0.779098i 0.521126 + 0.0438972i
\(316\) 0.893764 + 1.54804i 0.0502781 + 0.0870843i
\(317\) −1.42018 2.45983i −0.0797655 0.138158i 0.823383 0.567486i \(-0.192084\pi\)
−0.903149 + 0.429328i \(0.858750\pi\)
\(318\) 2.10789 0.118205
\(319\) −15.7675 −0.882809
\(320\) 1.75410 + 3.03819i 0.0980571 + 0.169840i
\(321\) 4.88232 + 8.45642i 0.272504 + 0.471991i
\(322\) 5.71999 + 0.481825i 0.318763 + 0.0268511i
\(323\) −12.2517 + 21.2205i −0.681701 + 1.18074i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) 23.5560 + 11.8026i 1.30665 + 0.654689i
\(326\) −3.89316 + 6.74316i −0.215622 + 0.373469i
\(327\) −2.29572 −0.126954
\(328\) 5.09300 8.82134i 0.281214 0.487077i
\(329\) 5.49588 + 11.6873i 0.302998 + 0.644339i
\(330\) 22.4799 1.23748
\(331\) 9.43745 16.3461i 0.518729 0.898465i −0.481034 0.876702i \(-0.659739\pi\)
0.999763 0.0217633i \(-0.00692802\pi\)
\(332\) −2.59218 −0.142264
\(333\) −1.94981 + 3.37717i −0.106849 + 0.185068i
\(334\) 3.32333 5.75618i 0.181845 0.314964i
\(335\) 12.7860 22.1460i 0.698575 1.20997i
\(336\) 1.12588 + 2.39424i 0.0614218 + 0.130617i
\(337\) 10.9560 0.596813 0.298407 0.954439i \(-0.403545\pi\)
0.298407 + 0.954439i \(0.403545\pi\)
\(338\) −12.9092 + 1.53344i −0.702170 + 0.0834082i
\(339\) 1.96268 3.39947i 0.106598 0.184634i
\(340\) 8.20533 + 14.2121i 0.444997 + 0.770757i
\(341\) 57.1622 3.09551
\(342\) −2.61911 4.53642i −0.141625 0.245302i
\(343\) −17.9348 4.61985i −0.968388 0.249449i
\(344\) −1.19338 2.06699i −0.0643426 0.111445i
\(345\) −3.80571 + 6.59168i −0.204892 + 0.354884i
\(346\) 7.30337 12.6498i 0.392632 0.680058i
\(347\) −32.1029 −1.72338 −0.861688 0.507438i \(-0.830592\pi\)
−0.861688 + 0.507438i \(0.830592\pi\)
\(348\) 2.46066 0.131905
\(349\) −9.04373 + 15.6642i −0.484100 + 0.838485i −0.999833 0.0182638i \(-0.994186\pi\)
0.515734 + 0.856749i \(0.327519\pi\)
\(350\) 11.0381 15.8730i 0.590013 0.848445i
\(351\) −0.213022 3.59925i −0.0113703 0.192114i
\(352\) 3.20391 + 5.54934i 0.170769 + 0.295781i
\(353\) 13.7323 + 23.7850i 0.730894 + 1.26595i 0.956501 + 0.291728i \(0.0942302\pi\)
−0.225607 + 0.974218i \(0.572436\pi\)
\(354\) 5.89729 + 10.2144i 0.313437 + 0.542889i
\(355\) −9.79976 + 16.9737i −0.520117 + 0.900869i
\(356\) 7.00752 0.371398
\(357\) 5.26665 + 11.1998i 0.278741 + 0.592756i
\(358\) 7.06425 + 12.2356i 0.373357 + 0.646673i
\(359\) −10.8390 18.7738i −0.572063 0.990842i −0.996354 0.0853162i \(-0.972810\pi\)
0.424291 0.905526i \(-0.360523\pi\)
\(360\) −3.50820 −0.184898
\(361\) −4.21943 7.30827i −0.222075 0.384646i
\(362\) −13.6453 −0.717181
\(363\) 30.0602 1.57775
\(364\) −0.237705 + 9.53643i −0.0124591 + 0.499845i
\(365\) 29.6916 1.55413
\(366\) 9.35561 0.489026
\(367\) −7.66086 13.2690i −0.399894 0.692636i 0.593819 0.804599i \(-0.297620\pi\)
−0.993712 + 0.111963i \(0.964286\pi\)
\(368\) −2.16961 −0.113099
\(369\) 5.09300 + 8.82134i 0.265131 + 0.459220i
\(370\) 6.84033 + 11.8478i 0.355612 + 0.615937i
\(371\) 3.18404 4.57868i 0.165307 0.237713i
\(372\) −8.92069 −0.462516
\(373\) 16.6792 28.8893i 0.863618 1.49583i −0.00479550 0.999989i \(-0.501526\pi\)
0.868413 0.495841i \(-0.165140\pi\)
\(374\) 14.9873 + 25.9587i 0.774973 + 1.34229i
\(375\) 4.04749 + 7.01045i 0.209011 + 0.362018i
\(376\) −2.44070 4.22742i −0.125870 0.218012i
\(377\) 7.93208 + 3.97432i 0.408523 + 0.204688i
\(378\) −2.63641 0.222079i −0.135603 0.0114225i
\(379\) 8.43868 14.6162i 0.433466 0.750785i −0.563703 0.825977i \(-0.690624\pi\)
0.997169 + 0.0751926i \(0.0239571\pi\)
\(380\) −18.3767 −0.942704
\(381\) −7.02391 −0.359846
\(382\) 1.21572 2.10569i 0.0622018 0.107737i
\(383\) −10.7933 + 18.6945i −0.551512 + 0.955246i 0.446654 + 0.894707i \(0.352615\pi\)
−0.998166 + 0.0605395i \(0.980718\pi\)
\(384\) −0.500000 0.866025i −0.0255155 0.0441942i
\(385\) 33.9566 48.8300i 1.73059 2.48861i
\(386\) −1.75877 3.04628i −0.0895191 0.155052i
\(387\) 2.38675 0.121326
\(388\) −4.92513 8.53057i −0.250036 0.433074i
\(389\) 8.68908 15.0499i 0.440554 0.763062i −0.557177 0.830394i \(-0.688115\pi\)
0.997731 + 0.0673322i \(0.0214487\pi\)
\(390\) −11.3089 5.66624i −0.572647 0.286921i
\(391\) −10.1490 −0.513258
\(392\) 6.90136 + 1.17099i 0.348571 + 0.0591437i
\(393\) −4.56251 + 7.90250i −0.230148 + 0.398628i
\(394\) 1.15702 2.00402i 0.0582900 0.100961i
\(395\) −3.13550 + 5.43084i −0.157764 + 0.273255i
\(396\) −6.40782 −0.322005
\(397\) −2.93718 + 5.08734i −0.147413 + 0.255326i −0.930270 0.366874i \(-0.880428\pi\)
0.782858 + 0.622201i \(0.213761\pi\)
\(398\) 5.69467 0.285448
\(399\) −13.8101 1.16330i −0.691370 0.0582377i
\(400\) −3.65372 + 6.32843i −0.182686 + 0.316422i
\(401\) −13.9771 −0.697983 −0.348992 0.937126i \(-0.613476\pi\)
−0.348992 + 0.937126i \(0.613476\pi\)
\(402\) −3.64461 + 6.31265i −0.181777 + 0.314846i
\(403\) −28.7563 14.4082i −1.43246 0.717724i
\(404\) −6.91016 11.9687i −0.343793 0.595467i
\(405\) 1.75410 3.03819i 0.0871619 0.150969i
\(406\) 3.71691 5.34495i 0.184467 0.265266i
\(407\) 12.4940 + 21.6403i 0.619307 + 1.07267i
\(408\) −2.33890 4.05110i −0.115793 0.200559i
\(409\) −37.4897 −1.85375 −0.926873 0.375375i \(-0.877514\pi\)
−0.926873 + 0.375375i \(0.877514\pi\)
\(410\) 35.7345 1.76480
\(411\) −7.53370 13.0488i −0.371610 0.643648i
\(412\) −6.56658 11.3737i −0.323512 0.560340i
\(413\) 31.0954 + 2.61933i 1.53010 + 0.128889i
\(414\) 1.08480 1.87894i 0.0533152 0.0923447i
\(415\) −4.54694 7.87553i −0.223200 0.386594i
\(416\) −0.213022 3.59925i −0.0104443 0.176468i
\(417\) 7.02519 12.1680i 0.344025 0.595869i
\(418\) −33.5655 −1.64174
\(419\) −16.9548 + 29.3665i −0.828294 + 1.43465i 0.0710814 + 0.997471i \(0.477355\pi\)
−0.899375 + 0.437177i \(0.855978\pi\)
\(420\) −5.29925 + 7.62037i −0.258577 + 0.371836i
\(421\) −10.5503 −0.514192 −0.257096 0.966386i \(-0.582766\pi\)
−0.257096 + 0.966386i \(0.582766\pi\)
\(422\) 0.291966 0.505700i 0.0142127 0.0246171i
\(423\) 4.88140 0.237342
\(424\) −1.05395 + 1.82549i −0.0511842 + 0.0886536i
\(425\) −17.0914 + 29.6032i −0.829055 + 1.43597i
\(426\) 2.79339 4.83829i 0.135340 0.234416i
\(427\) 14.1320 20.3219i 0.683894 0.983446i
\(428\) −9.76463 −0.471991
\(429\) −20.6560 10.3496i −0.997280 0.499681i
\(430\) 4.18660 7.25141i 0.201896 0.349694i
\(431\) 12.8043 + 22.1777i 0.616761 + 1.06826i 0.990073 + 0.140555i \(0.0448887\pi\)
−0.373312 + 0.927706i \(0.621778\pi\)
\(432\) 1.00000 0.0481125
\(433\) 3.68968 + 6.39071i 0.177315 + 0.307118i 0.940960 0.338518i \(-0.109926\pi\)
−0.763645 + 0.645636i \(0.776592\pi\)
\(434\) −13.4750 + 19.3772i −0.646821 + 0.930135i
\(435\) 4.31624 + 7.47595i 0.206948 + 0.358444i
\(436\) 1.14786 1.98816i 0.0549726 0.0952154i
\(437\) 5.68244 9.84227i 0.271828 0.470820i
\(438\) −8.46350 −0.404402
\(439\) −23.0510 −1.10016 −0.550082 0.835110i \(-0.685404\pi\)
−0.550082 + 0.835110i \(0.685404\pi\)
\(440\) −11.2399 + 19.4682i −0.535844 + 0.928108i
\(441\) −4.46478 + 5.39126i −0.212609 + 0.256727i
\(442\) −0.996476 16.8366i −0.0473975 0.800836i
\(443\) 9.05605 + 15.6855i 0.430266 + 0.745242i 0.996896 0.0787300i \(-0.0250865\pi\)
−0.566630 + 0.823972i \(0.691753\pi\)
\(444\) −1.94981 3.37717i −0.0925340 0.160274i
\(445\) 12.2919 + 21.2902i 0.582691 + 1.00925i
\(446\) −7.25749 + 12.5703i −0.343652 + 0.595223i
\(447\) 1.22934 0.0581456
\(448\) −2.63641 0.222079i −0.124559 0.0104923i
\(449\) −9.23084 15.9883i −0.435630 0.754534i 0.561717 0.827330i \(-0.310141\pi\)
−0.997347 + 0.0727961i \(0.976808\pi\)
\(450\) −3.65372 6.32843i −0.172238 0.298325i
\(451\) 65.2701 3.07345
\(452\) 1.96268 + 3.39947i 0.0923168 + 0.159897i
\(453\) −16.3449 −0.767951
\(454\) 20.2464 0.950209
\(455\) −29.3904 + 16.0056i −1.37784 + 0.750356i
\(456\) 5.23821 0.245302
\(457\) −17.8047 −0.832866 −0.416433 0.909166i \(-0.636720\pi\)
−0.416433 + 0.909166i \(0.636720\pi\)
\(458\) −0.668929 1.15862i −0.0312570 0.0541387i
\(459\) 4.67781 0.218341
\(460\) −3.80571 6.59168i −0.177442 0.307339i
\(461\) −2.51030 4.34797i −0.116916 0.202505i 0.801628 0.597823i \(-0.203968\pi\)
−0.918544 + 0.395318i \(0.870634\pi\)
\(462\) −9.67923 + 13.9188i −0.450318 + 0.647562i
\(463\) −25.0075 −1.16220 −0.581099 0.813833i \(-0.697377\pi\)
−0.581099 + 0.813833i \(0.697377\pi\)
\(464\) −1.23033 + 2.13099i −0.0571167 + 0.0989290i
\(465\) −15.6478 27.1027i −0.725648 1.25686i
\(466\) 6.97568 + 12.0822i 0.323142 + 0.559699i
\(467\) 12.9128 + 22.3656i 0.597532 + 1.03496i 0.993184 + 0.116555i \(0.0371851\pi\)
−0.395653 + 0.918400i \(0.629482\pi\)
\(468\) 3.22356 + 1.61514i 0.149009 + 0.0746601i
\(469\) 8.20680 + 17.4522i 0.378955 + 0.805866i
\(470\) 8.56246 14.8306i 0.394957 0.684085i
\(471\) 15.9699 0.735853
\(472\) −11.7946 −0.542889
\(473\) 7.64695 13.2449i 0.351607 0.609001i
\(474\) 0.893764 1.54804i 0.0410519 0.0711040i
\(475\) −19.1390 33.1497i −0.878156 1.52101i
\(476\) −12.3326 1.03884i −0.565265 0.0476153i
\(477\) −1.05395 1.82549i −0.0482569 0.0835834i
\(478\) 9.05495 0.414164
\(479\) −11.5569 20.0171i −0.528047 0.914604i −0.999465 0.0326944i \(-0.989591\pi\)
0.471418 0.881910i \(-0.343742\pi\)
\(480\) 1.75410 3.03819i 0.0800633 0.138674i
\(481\) −0.830706 14.0357i −0.0378769 0.639974i
\(482\) 20.1102 0.915993
\(483\) −2.44272 5.19457i −0.111148 0.236361i
\(484\) −15.0301 + 26.0329i −0.683186 + 1.18331i
\(485\) 17.2783 29.9269i 0.784568 1.35891i
\(486\) −0.500000 + 0.866025i −0.0226805 + 0.0392837i
\(487\) −16.2740 −0.737447 −0.368723 0.929539i \(-0.620205\pi\)
−0.368723 + 0.929539i \(0.620205\pi\)
\(488\) −4.67781 + 8.10220i −0.211754 + 0.366769i
\(489\) 7.78633 0.352110
\(490\) 8.54799 + 23.0217i 0.386159 + 1.04001i
\(491\) −19.0299 + 32.9608i −0.858809 + 1.48750i 0.0142561 + 0.999898i \(0.495462\pi\)
−0.873065 + 0.487603i \(0.837871\pi\)
\(492\) −10.1860 −0.459220
\(493\) −5.75525 + 9.96838i −0.259203 + 0.448953i
\(494\) 16.8857 + 8.46047i 0.759722 + 0.380654i
\(495\) −11.2399 19.4682i −0.505198 0.875029i
\(496\) 4.46035 7.72555i 0.200275 0.346887i
\(497\) −6.29005 13.3761i −0.282147 0.600000i
\(498\) 1.29609 + 2.24489i 0.0580792 + 0.100596i
\(499\) 17.1178 + 29.6489i 0.766297 + 1.32727i 0.939558 + 0.342389i \(0.111236\pi\)
−0.173261 + 0.984876i \(0.555430\pi\)
\(500\) −8.09497 −0.362018
\(501\) −6.64666 −0.296951
\(502\) 4.09035 + 7.08469i 0.182561 + 0.316205i
\(503\) −1.12053 1.94081i −0.0499619 0.0865365i 0.839963 0.542644i \(-0.182577\pi\)
−0.889925 + 0.456107i \(0.849243\pi\)
\(504\) 1.51053 2.17216i 0.0672845 0.0967558i
\(505\) 24.2422 41.9887i 1.07876 1.86847i
\(506\) −6.95123 12.0399i −0.309020 0.535238i
\(507\) 7.78262 + 10.4130i 0.345638 + 0.462458i
\(508\) 3.51196 6.08289i 0.155818 0.269884i
\(509\) −25.8328 −1.14502 −0.572509 0.819899i \(-0.694030\pi\)
−0.572509 + 0.819899i \(0.694030\pi\)
\(510\) 8.20533 14.2121i 0.363338 0.629320i
\(511\) −12.7844 + 18.3841i −0.565549 + 0.813265i
\(512\) 1.00000 0.0441942
\(513\) −2.61911 + 4.53642i −0.115636 + 0.200288i
\(514\) 9.75393 0.430227
\(515\) 23.0369 39.9010i 1.01513 1.75825i
\(516\) −1.19338 + 2.06699i −0.0525355 + 0.0909942i
\(517\) 15.6396 27.0885i 0.687828 1.19135i
\(518\) −10.2810 0.866025i −0.451722 0.0380510i
\(519\) −14.6067 −0.641165
\(520\) 10.5615 6.96065i 0.463154 0.305244i
\(521\) −12.1715 + 21.0817i −0.533245 + 0.923607i 0.466001 + 0.884784i \(0.345694\pi\)
−0.999246 + 0.0388230i \(0.987639\pi\)
\(522\) −1.23033 2.13099i −0.0538501 0.0932711i
\(523\) 8.88709 0.388605 0.194303 0.980942i \(-0.437756\pi\)
0.194303 + 0.980942i \(0.437756\pi\)
\(524\) −4.56251 7.90250i −0.199314 0.345222i
\(525\) −19.2655 1.62283i −0.840813 0.0708262i
\(526\) 1.47358 + 2.55232i 0.0642511 + 0.111286i
\(527\) 20.8646 36.1386i 0.908878 1.57422i
\(528\) 3.20391 5.54934i 0.139432 0.241504i
\(529\) −18.2928 −0.795339
\(530\) −7.39490 −0.321214
\(531\) 5.89729 10.2144i 0.255920 0.443267i
\(532\) 7.91249 11.3782i 0.343050 0.493310i
\(533\) −32.8351 16.4519i −1.42225 0.712609i
\(534\) −3.50376 6.06869i −0.151622 0.262618i
\(535\) −17.1281 29.6668i −0.740513 1.28261i
\(536\) −3.64461 6.31265i −0.157423 0.272665i
\(537\) 7.06425 12.2356i 0.304845 0.528006i
\(538\) −23.9353 −1.03192
\(539\) 15.6132 + 42.0497i 0.672506 + 1.81121i
\(540\) 1.75410 + 3.03819i 0.0754844 + 0.130743i
\(541\) 8.01702 + 13.8859i 0.344679 + 0.597001i 0.985295 0.170860i \(-0.0546545\pi\)
−0.640617 + 0.767861i \(0.721321\pi\)
\(542\) 19.3667 0.831871
\(543\) 6.82265 + 11.8172i 0.292788 + 0.507124i
\(544\) 4.67781 0.200559
\(545\) 8.05385 0.344989
\(546\) 8.37764 4.56236i 0.358530 0.195251i
\(547\) −10.3955 −0.444481 −0.222240 0.974992i \(-0.571337\pi\)
−0.222240 + 0.974992i \(0.571337\pi\)
\(548\) 15.0674 0.643648
\(549\) −4.67781 8.10220i −0.199644 0.345793i
\(550\) −46.8248 −1.99662
\(551\) −6.44473 11.1626i −0.274555 0.475543i
\(552\) 1.08480 + 1.87894i 0.0461724 + 0.0799729i
\(553\) −2.01254 4.27977i −0.0855821 0.181994i
\(554\) 2.43419 0.103419
\(555\) 6.84033 11.8478i 0.290356 0.502911i
\(556\) 7.02519 + 12.1680i 0.297934 + 0.516038i
\(557\) −16.1951 28.0508i −0.686209 1.18855i −0.973055 0.230572i \(-0.925940\pi\)
0.286846 0.957977i \(-0.407393\pi\)
\(558\) 4.46035 + 7.72555i 0.188821 + 0.327048i
\(559\) −7.18540 + 4.73558i −0.303910 + 0.200294i
\(560\) −3.94981 8.39947i −0.166910 0.354942i
\(561\) 14.9873 25.9587i 0.632763 1.09598i
\(562\) −2.80329 −0.118250
\(563\) −2.43309 −0.102543 −0.0512713 0.998685i \(-0.516327\pi\)
−0.0512713 + 0.998685i \(0.516327\pi\)
\(564\) −2.44070 + 4.22742i −0.102772 + 0.178006i
\(565\) −6.88548 + 11.9260i −0.289674 + 0.501730i
\(566\) 8.47705 + 14.6827i 0.356317 + 0.617159i
\(567\) 1.12588 + 2.39424i 0.0472826 + 0.100549i
\(568\) 2.79339 + 4.83829i 0.117208 + 0.203010i
\(569\) −7.94066 −0.332890 −0.166445 0.986051i \(-0.553229\pi\)
−0.166445 + 0.986051i \(0.553229\pi\)
\(570\) 9.18834 + 15.9147i 0.384857 + 0.666592i
\(571\) 18.0463 31.2571i 0.755214 1.30807i −0.190054 0.981774i \(-0.560866\pi\)
0.945268 0.326295i \(-0.105800\pi\)
\(572\) 19.2910 12.7138i 0.806596 0.531591i
\(573\) −2.43145 −0.101575
\(574\) −15.3863 + 22.1257i −0.642212 + 0.923507i
\(575\) 7.92715 13.7302i 0.330585 0.572590i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) −16.3980 + 28.4021i −0.682657 + 1.18240i 0.291510 + 0.956568i \(0.405842\pi\)
−0.974167 + 0.225829i \(0.927491\pi\)
\(578\) 4.88187 0.203059
\(579\) −1.75877 + 3.04628i −0.0730920 + 0.126599i
\(580\) −8.63248 −0.358444
\(581\) 6.83406 + 0.575669i 0.283524 + 0.0238828i
\(582\) −4.92513 + 8.53057i −0.204153 + 0.353604i
\(583\) −13.5070 −0.559403
\(584\) 4.23175 7.32961i 0.175111 0.303301i
\(585\) 0.747323 + 12.6269i 0.0308980 + 0.522058i
\(586\) 2.84568 + 4.92886i 0.117554 + 0.203609i
\(587\) 10.9482 18.9629i 0.451881 0.782681i −0.546622 0.837380i \(-0.684086\pi\)
0.998503 + 0.0546984i \(0.0174197\pi\)
\(588\) −2.43658 6.56225i −0.100483 0.270623i
\(589\) 23.3642 + 40.4680i 0.962707 + 1.66746i
\(590\) −20.6888 35.8341i −0.851746 1.47527i
\(591\) −2.31405 −0.0951871
\(592\) 3.89962 0.160274
\(593\) 3.25002 + 5.62921i 0.133463 + 0.231164i 0.925009 0.379945i \(-0.124057\pi\)
−0.791547 + 0.611109i \(0.790724\pi\)
\(594\) 3.20391 + 5.54934i 0.131458 + 0.227692i
\(595\) −18.4765 39.2911i −0.757461 1.61078i
\(596\) −0.614668 + 1.06464i −0.0251778 + 0.0436092i
\(597\) −2.84733 4.93173i −0.116534 0.201842i
\(598\) 0.462175 + 7.80897i 0.0188997 + 0.319333i
\(599\) 1.40105 2.42668i 0.0572452 0.0991516i −0.835983 0.548756i \(-0.815102\pi\)
0.893228 + 0.449604i \(0.148435\pi\)
\(600\) 7.30745 0.298325
\(601\) −11.8591 + 20.5405i −0.483741 + 0.837864i −0.999826 0.0186737i \(-0.994056\pi\)
0.516085 + 0.856538i \(0.327389\pi\)
\(602\) 2.68720 + 5.71447i 0.109522 + 0.232904i
\(603\) 7.28922 0.296840
\(604\) 8.17245 14.1551i 0.332532 0.575963i
\(605\) −105.457 −4.28744
\(606\) −6.91016 + 11.9687i −0.280706 + 0.486197i
\(607\) 5.92151 10.2564i 0.240347 0.416293i −0.720466 0.693490i \(-0.756072\pi\)
0.960813 + 0.277197i \(0.0894055\pi\)
\(608\) −2.61911 + 4.53642i −0.106219 + 0.183976i
\(609\) −6.48732 0.546462i −0.262880 0.0221437i
\(610\) −32.8213 −1.32890
\(611\) −14.6956 + 9.68523i −0.594521 + 0.391823i
\(612\) −2.33890 + 4.05110i −0.0945446 + 0.163756i
\(613\) 8.09895 + 14.0278i 0.327114 + 0.566577i 0.981938 0.189204i \(-0.0605907\pi\)
−0.654824 + 0.755781i \(0.727257\pi\)
\(614\) 3.48603 0.140685
\(615\) −17.8673 30.9470i −0.720477 1.24790i
\(616\) −7.21444 15.3419i −0.290678 0.618142i
\(617\) −22.0973 38.2737i −0.889606 1.54084i −0.840342 0.542057i \(-0.817646\pi\)
−0.0492637 0.998786i \(-0.515687\pi\)
\(618\) −6.56658 + 11.3737i −0.264147 + 0.457515i
\(619\) −17.0272 + 29.4920i −0.684383 + 1.18539i 0.289248 + 0.957254i \(0.406595\pi\)
−0.973630 + 0.228131i \(0.926738\pi\)
\(620\) 31.2955 1.25686
\(621\) −2.16961 −0.0870634
\(622\) 12.0016 20.7873i 0.481219 0.833496i
\(623\) −18.4747 1.55622i −0.740174 0.0623488i
\(624\) −3.01053 + 1.98411i −0.120518 + 0.0794279i
\(625\) 4.06923 + 7.04812i 0.162769 + 0.281925i
\(626\) −8.77758 15.2032i −0.350823 0.607643i
\(627\) 16.7828 + 29.0686i 0.670239 + 1.16089i
\(628\) −7.98494 + 13.8303i −0.318634 + 0.551890i
\(629\) 18.2417 0.727344
\(630\) 9.24906 + 0.779098i 0.368491 + 0.0310400i
\(631\) −0.712707 1.23444i −0.0283724 0.0491424i 0.851491 0.524370i \(-0.175699\pi\)
−0.879863 + 0.475227i \(0.842366\pi\)
\(632\) 0.893764 + 1.54804i 0.0355520 + 0.0615779i
\(633\) −0.583933 −0.0232092
\(634\) −1.42018 2.45983i −0.0564027 0.0976923i
\(635\) 24.6413 0.977859
\(636\) 2.10789 0.0835834
\(637\) 2.74453 25.0892i 0.108742 0.994070i
\(638\) −15.7675 −0.624240
\(639\) −5.58678 −0.221009
\(640\) 1.75410 + 3.03819i 0.0693368 + 0.120095i
\(641\) −23.2001 −0.916350 −0.458175 0.888862i \(-0.651497\pi\)
−0.458175 + 0.888862i \(0.651497\pi\)
\(642\) 4.88232 + 8.45642i 0.192690 + 0.333748i
\(643\) 3.41821 + 5.92052i 0.134801 + 0.233482i 0.925521 0.378695i \(-0.123627\pi\)
−0.790720 + 0.612178i \(0.790294\pi\)
\(644\) 5.71999 + 0.481825i 0.225399 + 0.0189866i
\(645\) −8.37320 −0.329695
\(646\) −12.2517 + 21.2205i −0.482036 + 0.834910i
\(647\) 21.2982 + 36.8896i 0.837320 + 1.45028i 0.892127 + 0.451784i \(0.149212\pi\)
−0.0548069 + 0.998497i \(0.517454\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) −37.7888 65.4521i −1.48334 2.56922i
\(650\) 23.5560 + 11.8026i 0.923941 + 0.462935i
\(651\) 23.5186 + 1.98110i 0.921768 + 0.0776454i
\(652\) −3.89316 + 6.74316i −0.152468 + 0.264082i
\(653\) −39.4447 −1.54359 −0.771794 0.635872i \(-0.780640\pi\)
−0.771794 + 0.635872i \(0.780640\pi\)
\(654\) −2.29572 −0.0897699
\(655\) 16.0062 27.7235i 0.625413 1.08325i
\(656\) 5.09300 8.82134i 0.198848 0.344415i
\(657\) 4.23175 + 7.32961i 0.165096 + 0.285955i
\(658\) 5.49588 + 11.6873i 0.214252 + 0.455617i
\(659\) 0.667872 + 1.15679i 0.0260166 + 0.0450621i 0.878741 0.477300i \(-0.158384\pi\)
−0.852724 + 0.522362i \(0.825051\pi\)
\(660\) 22.4799 0.875029
\(661\) 6.44661 + 11.1659i 0.250744 + 0.434301i 0.963731 0.266876i \(-0.0859914\pi\)
−0.712987 + 0.701177i \(0.752658\pi\)
\(662\) 9.43745 16.3461i 0.366797 0.635311i
\(663\) −14.0827 + 9.28128i −0.546926 + 0.360455i
\(664\) −2.59218 −0.100596
\(665\) 48.4485 + 4.08108i 1.87875 + 0.158257i
\(666\) −1.94981 + 3.37717i −0.0755537 + 0.130863i
\(667\) 2.66934 4.62343i 0.103357 0.179020i
\(668\) 3.32333 5.75618i 0.128584 0.222713i
\(669\) 14.5150 0.561182
\(670\) 12.7860 22.1460i 0.493967 0.855576i
\(671\) −59.9491 −2.31431
\(672\) 1.12588 + 2.39424i 0.0434318 + 0.0923599i
\(673\) −13.8759 + 24.0338i −0.534877 + 0.926434i 0.464292 + 0.885682i \(0.346309\pi\)
−0.999169 + 0.0407519i \(0.987025\pi\)
\(674\) 10.9560 0.422011
\(675\) −3.65372 + 6.32843i −0.140632 + 0.243582i
\(676\) −12.9092 + 1.53344i −0.496509 + 0.0589785i
\(677\) −1.50219 2.60188i −0.0577340 0.0999982i 0.835714 0.549165i \(-0.185054\pi\)
−0.893448 + 0.449167i \(0.851721\pi\)
\(678\) 1.96268 3.39947i 0.0753764 0.130556i
\(679\) 11.0902 + 23.5839i 0.425604 + 0.905067i
\(680\) 8.20533 + 14.2121i 0.314660 + 0.545007i
\(681\) −10.1232 17.5339i −0.387921 0.671899i
\(682\) 57.1622 2.18885
\(683\) −14.8693 −0.568959 −0.284480 0.958682i \(-0.591821\pi\)
−0.284480 + 0.958682i \(0.591821\pi\)
\(684\) −2.61911 4.53642i −0.100144 0.173455i
\(685\) 26.4297 + 45.7776i 1.00983 + 1.74907i
\(686\) −17.9348 4.61985i −0.684754 0.176387i
\(687\) −0.668929 + 1.15862i −0.0255212 + 0.0442041i
\(688\) −1.19338 2.06699i −0.0454971 0.0788033i
\(689\) 6.79491 + 3.40455i 0.258865 + 0.129703i
\(690\) −3.80571 + 6.59168i −0.144881 + 0.250941i
\(691\) 8.38107 0.318831 0.159415 0.987212i \(-0.449039\pi\)
0.159415 + 0.987212i \(0.449039\pi\)
\(692\) 7.30337 12.6498i 0.277633 0.480874i
\(693\) 16.8937 + 1.42304i 0.641738 + 0.0540570i
\(694\) −32.1029 −1.21861
\(695\) −24.6457 + 42.6877i −0.934867 + 1.61924i
\(696\) 2.46066 0.0932711
\(697\) 23.8241 41.2645i 0.902401 1.56300i
\(698\) −9.04373 + 15.6642i −0.342310 + 0.592899i
\(699\) 6.97568 12.0822i 0.263845 0.456992i
\(700\) 11.0381 15.8730i 0.417203 0.599941i
\(701\) 39.2809 1.48362 0.741809 0.670611i \(-0.233968\pi\)
0.741809 + 0.670611i \(0.233968\pi\)
\(702\) −0.213022 3.59925i −0.00804000 0.135845i
\(703\) −10.2135 + 17.6904i −0.385211 + 0.667204i
\(704\) 3.20391 + 5.54934i 0.120752 + 0.209148i
\(705\) −17.1249 −0.644962
\(706\) 13.7323 + 23.7850i 0.516820 + 0.895159i
\(707\) 15.5600 + 33.0892i 0.585195 + 1.24445i
\(708\) 5.89729 + 10.2144i 0.221634 + 0.383881i
\(709\) −9.66018 + 16.7319i −0.362796 + 0.628381i −0.988420 0.151744i \(-0.951511\pi\)
0.625624 + 0.780125i \(0.284844\pi\)
\(710\) −9.79976 + 16.9737i −0.367778 + 0.637011i
\(711\) −1.78753 −0.0670375
\(712\) 7.00752 0.262618
\(713\) −9.67721 + 16.7614i −0.362414 + 0.627720i
\(714\) 5.26665 + 11.1998i 0.197100 + 0.419142i
\(715\) 72.4652 + 36.3083i 2.71004 + 1.35785i
\(716\) 7.06425 + 12.2356i 0.264003 + 0.457267i
\(717\) −4.52748 7.84182i −0.169082 0.292858i
\(718\) −10.8390 18.7738i −0.404510 0.700631i
\(719\) 14.2205 24.6306i 0.530335 0.918567i −0.469039 0.883178i \(-0.655400\pi\)
0.999374 0.0353892i \(-0.0112671\pi\)
\(720\) −3.50820 −0.130743
\(721\) 14.7864 + 31.4440i 0.550674 + 1.17103i
\(722\) −4.21943 7.30827i −0.157031 0.271986i
\(723\) −10.0551 17.4159i −0.373953 0.647705i
\(724\) −13.6453 −0.507124
\(725\) −8.99057 15.5721i −0.333902 0.578334i
\(726\) 30.0602 1.11564
\(727\) −48.4057 −1.79527 −0.897634 0.440741i \(-0.854716\pi\)
−0.897634 + 0.440741i \(0.854716\pi\)
\(728\) −0.237705 + 9.53643i −0.00880992 + 0.353444i
\(729\) 1.00000 0.0370370
\(730\) 29.6916 1.09894
\(731\) −5.58239 9.66898i −0.206472 0.357620i
\(732\) 9.35561 0.345793
\(733\) −3.69118 6.39332i −0.136337 0.236143i 0.789770 0.613403i \(-0.210200\pi\)
−0.926107 + 0.377260i \(0.876866\pi\)
\(734\) −7.66086 13.2690i −0.282768 0.489768i
\(735\) 15.6633 18.9136i 0.577751 0.697639i
\(736\) −2.16961 −0.0799729
\(737\) 23.3540 40.4503i 0.860256 1.49001i
\(738\) 5.09300 + 8.82134i 0.187476 + 0.324718i
\(739\) −2.41213 4.17793i −0.0887316 0.153688i 0.818244 0.574872i \(-0.194948\pi\)
−0.906975 + 0.421184i \(0.861615\pi\)
\(740\) 6.84033 + 11.8478i 0.251455 + 0.435533i
\(741\) −1.11585 18.8536i −0.0409920 0.692606i
\(742\) 3.18404 4.57868i 0.116890 0.168089i
\(743\) 17.8556 30.9268i 0.655059 1.13460i −0.326820 0.945087i \(-0.605977\pi\)
0.981879 0.189509i \(-0.0606895\pi\)
\(744\) −8.92069 −0.327048
\(745\) −4.31275 −0.158007
\(746\) 16.6792 28.8893i 0.610670 1.05771i
\(747\) 1.29609 2.24489i 0.0474214 0.0821363i
\(748\) 14.9873 + 25.9587i 0.547989 + 0.949145i
\(749\) 25.7436 + 2.16852i 0.940651 + 0.0792361i
\(750\) 4.04749 + 7.01045i 0.147793 + 0.255986i
\(751\) 13.0969 0.477913 0.238956 0.971030i \(-0.423195\pi\)
0.238956 + 0.971030i \(0.423195\pi\)
\(752\) −2.44070 4.22742i −0.0890032 0.154158i
\(753\) 4.09035 7.08469i 0.149061 0.258181i
\(754\) 7.93208 + 3.97432i 0.288869 + 0.144736i
\(755\) 57.3411 2.08686
\(756\) −2.63641 0.222079i −0.0958855 0.00807694i
\(757\) −22.0344 + 38.1646i −0.800852 + 1.38712i 0.118204 + 0.992989i \(0.462286\pi\)
−0.919056 + 0.394127i \(0.871047\pi\)
\(758\) 8.43868 14.6162i 0.306507 0.530885i
\(759\) −6.95123 + 12.0399i −0.252314 + 0.437020i
\(760\) −18.3767 −0.666592
\(761\) 4.30571 7.45771i 0.156082 0.270342i −0.777371 0.629043i \(-0.783447\pi\)
0.933452 + 0.358701i \(0.116780\pi\)
\(762\) −7.02391 −0.254449
\(763\) −3.46777 + 4.98669i −0.125542 + 0.180530i
\(764\) 1.21572 2.10569i 0.0439833 0.0761814i
\(765\) −16.4107 −0.593329
\(766\) −10.7933 + 18.6945i −0.389978 + 0.675461i
\(767\) 2.51251 + 42.4517i 0.0907213 + 1.53284i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −3.20391 + 5.54934i −0.115536 + 0.200114i −0.917994 0.396595i \(-0.870192\pi\)
0.802458 + 0.596709i \(0.203525\pi\)
\(770\) 33.9566 48.8300i 1.22371 1.75971i
\(771\) −4.87696 8.44715i −0.175640 0.304217i
\(772\) −1.75877 3.04628i −0.0632996 0.109638i
\(773\) 12.5816 0.452530 0.226265 0.974066i \(-0.427348\pi\)
0.226265 + 0.974066i \(0.427348\pi\)
\(774\) 2.38675 0.0857901
\(775\) 32.5937 + 56.4540i 1.17080 + 2.02789i
\(776\) −4.92513 8.53057i −0.176802 0.306230i