Properties

Label 273.2.cg.a.262.8
Level $273$
Weight $2$
Character 273.262
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

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

Embedding invariants

Embedding label 262.8
Character \(\chi\) \(=\) 273.262
Dual form 273.2.cg.a.124.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.569735 + 2.12628i) q^{2} -1.00000i q^{3} +(-2.46442 + 1.42283i) q^{4} +(0.837395 - 3.12520i) q^{5} +(2.12628 - 0.569735i) q^{6} +(0.780325 - 2.52806i) q^{7} +(-1.31631 - 1.31631i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.569735 + 2.12628i) q^{2} -1.00000i q^{3} +(-2.46442 + 1.42283i) q^{4} +(0.837395 - 3.12520i) q^{5} +(2.12628 - 0.569735i) q^{6} +(0.780325 - 2.52806i) q^{7} +(-1.31631 - 1.31631i) q^{8} -1.00000 q^{9} +7.12215 q^{10} +(2.85107 + 2.85107i) q^{11} +(1.42283 + 2.46442i) q^{12} +(2.61925 + 2.47781i) q^{13} +(5.81994 + 0.218864i) q^{14} +(-3.12520 - 0.837395i) q^{15} +(-0.796765 + 1.38004i) q^{16} +(-3.80501 - 6.59048i) q^{17} +(-0.569735 - 2.12628i) q^{18} +(1.95154 + 1.95154i) q^{19} +(2.38294 + 8.89327i) q^{20} +(-2.52806 - 0.780325i) q^{21} +(-4.43782 + 7.68652i) q^{22} +(-3.89447 - 2.24848i) q^{23} +(-1.31631 + 1.31631i) q^{24} +(-4.73553 - 2.73406i) q^{25} +(-3.77625 + 6.98094i) q^{26} +1.00000i q^{27} +(1.67396 + 7.34047i) q^{28} +(1.49169 + 2.58368i) q^{29} -7.12215i q^{30} +(2.58181 - 0.691794i) q^{31} +(-6.98452 - 1.87150i) q^{32} +(2.85107 - 2.85107i) q^{33} +(11.8454 - 11.8454i) q^{34} +(-7.24726 - 4.55566i) q^{35} +(2.46442 - 1.42283i) q^{36} +(-1.64078 + 0.439645i) q^{37} +(-3.03766 + 5.26138i) q^{38} +(2.47781 - 2.61925i) q^{39} +(-5.21601 + 3.01147i) q^{40} +(-2.95120 + 11.0140i) q^{41} +(0.218864 - 5.81994i) q^{42} +(6.30996 + 3.64306i) q^{43} +(-11.0828 - 2.96963i) q^{44} +(-0.837395 + 3.12520i) q^{45} +(2.56207 - 9.56178i) q^{46} +(-2.48667 - 0.666302i) q^{47} +(1.38004 + 0.796765i) q^{48} +(-5.78219 - 3.94542i) q^{49} +(3.11538 - 11.6267i) q^{50} +(-6.59048 + 3.80501i) q^{51} +(-9.98042 - 2.37961i) q^{52} +(-3.91287 + 6.77729i) q^{53} +(-2.12628 + 0.569735i) q^{54} +(11.2976 - 6.52269i) q^{55} +(-4.35487 + 2.30057i) q^{56} +(1.95154 - 1.95154i) q^{57} +(-4.64375 + 4.64375i) q^{58} +(-7.90374 - 2.11780i) q^{59} +(8.89327 - 2.38294i) q^{60} +9.20877i q^{61} +(2.94189 + 5.09551i) q^{62} +(-0.780325 + 2.52806i) q^{63} -12.7302i q^{64} +(9.93701 - 6.11076i) q^{65} +(7.68652 + 4.43782i) q^{66} +(5.52580 - 5.52580i) q^{67} +(18.7543 + 10.8278i) q^{68} +(-2.24848 + 3.89447i) q^{69} +(5.55759 - 18.0052i) q^{70} +(-0.721147 - 2.69136i) q^{71} +(1.31631 + 1.31631i) q^{72} +(0.453517 + 1.69255i) q^{73} +(-1.86962 - 3.23827i) q^{74} +(-2.73406 + 4.73553i) q^{75} +(-7.58612 - 2.03270i) q^{76} +(9.43244 - 4.98292i) q^{77} +(6.98094 + 3.77625i) q^{78} +(4.31023 + 7.46554i) q^{79} +(3.64569 + 3.64569i) q^{80} +1.00000 q^{81} -25.1003 q^{82} +(-1.63865 - 1.63865i) q^{83} +(7.34047 - 1.67396i) q^{84} +(-23.7829 + 6.37260i) q^{85} +(-4.15115 + 15.4923i) q^{86} +(2.58368 - 1.49169i) q^{87} -7.50579i q^{88} +(-4.66770 - 17.4201i) q^{89} -7.12215 q^{90} +(8.30792 - 4.68812i) q^{91} +12.7968 q^{92} +(-0.691794 - 2.58181i) q^{93} -5.66697i q^{94} +(7.73317 - 4.46475i) q^{95} +(-1.87150 + 6.98452i) q^{96} +(-12.7508 + 3.41658i) q^{97} +(5.09475 - 14.5424i) q^{98} +(-2.85107 - 2.85107i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.569735 + 2.12628i 0.402863 + 1.50351i 0.807962 + 0.589234i \(0.200570\pi\)
−0.405099 + 0.914273i \(0.632763\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −2.46442 + 1.42283i −1.23221 + 0.711416i
\(5\) 0.837395 3.12520i 0.374495 1.39763i −0.479587 0.877494i \(-0.659214\pi\)
0.854082 0.520139i \(-0.174120\pi\)
\(6\) 2.12628 0.569735i 0.868050 0.232593i
\(7\) 0.780325 2.52806i 0.294935 0.955517i
\(8\) −1.31631 1.31631i −0.465386 0.465386i
\(9\) −1.00000 −0.333333
\(10\) 7.12215 2.25222
\(11\) 2.85107 + 2.85107i 0.859630 + 0.859630i 0.991294 0.131665i \(-0.0420322\pi\)
−0.131665 + 0.991294i \(0.542032\pi\)
\(12\) 1.42283 + 2.46442i 0.410736 + 0.711416i
\(13\) 2.61925 + 2.47781i 0.726448 + 0.687221i
\(14\) 5.81994 + 0.218864i 1.55545 + 0.0584939i
\(15\) −3.12520 0.837395i −0.806924 0.216215i
\(16\) −0.796765 + 1.38004i −0.199191 + 0.345009i
\(17\) −3.80501 6.59048i −0.922852 1.59843i −0.794980 0.606635i \(-0.792519\pi\)
−0.127871 0.991791i \(-0.540814\pi\)
\(18\) −0.569735 2.12628i −0.134288 0.501169i
\(19\) 1.95154 + 1.95154i 0.447714 + 0.447714i 0.894594 0.446880i \(-0.147465\pi\)
−0.446880 + 0.894594i \(0.647465\pi\)
\(20\) 2.38294 + 8.89327i 0.532843 + 1.98860i
\(21\) −2.52806 0.780325i −0.551668 0.170281i
\(22\) −4.43782 + 7.68652i −0.946146 + 1.63877i
\(23\) −3.89447 2.24848i −0.812054 0.468840i 0.0356146 0.999366i \(-0.488661\pi\)
−0.847669 + 0.530526i \(0.821994\pi\)
\(24\) −1.31631 + 1.31631i −0.268691 + 0.268691i
\(25\) −4.73553 2.73406i −0.947106 0.546812i
\(26\) −3.77625 + 6.98094i −0.740583 + 1.36908i
\(27\) 1.00000i 0.192450i
\(28\) 1.67396 + 7.34047i 0.316349 + 1.38722i
\(29\) 1.49169 + 2.58368i 0.276999 + 0.479777i 0.970638 0.240547i \(-0.0773267\pi\)
−0.693638 + 0.720323i \(0.743993\pi\)
\(30\) 7.12215i 1.30032i
\(31\) 2.58181 0.691794i 0.463707 0.124250i −0.0193991 0.999812i \(-0.506175\pi\)
0.483106 + 0.875562i \(0.339509\pi\)
\(32\) −6.98452 1.87150i −1.23470 0.330837i
\(33\) 2.85107 2.85107i 0.496307 0.496307i
\(34\) 11.8454 11.8454i 2.03146 2.03146i
\(35\) −7.24726 4.55566i −1.22501 0.770047i
\(36\) 2.46442 1.42283i 0.410736 0.237139i
\(37\) −1.64078 + 0.439645i −0.269742 + 0.0722772i −0.391155 0.920325i \(-0.627924\pi\)
0.121412 + 0.992602i \(0.461258\pi\)
\(38\) −3.03766 + 5.26138i −0.492774 + 0.853509i
\(39\) 2.47781 2.61925i 0.396767 0.419415i
\(40\) −5.21601 + 3.01147i −0.824724 + 0.476155i
\(41\) −2.95120 + 11.0140i −0.460900 + 1.72010i 0.209239 + 0.977865i \(0.432901\pi\)
−0.670138 + 0.742236i \(0.733765\pi\)
\(42\) 0.218864 5.81994i 0.0337715 0.898037i
\(43\) 6.30996 + 3.64306i 0.962260 + 0.555561i 0.896868 0.442298i \(-0.145837\pi\)
0.0653923 + 0.997860i \(0.479170\pi\)
\(44\) −11.0828 2.96963i −1.67080 0.447689i
\(45\) −0.837395 + 3.12520i −0.124832 + 0.465878i
\(46\) 2.56207 9.56178i 0.377757 1.40981i
\(47\) −2.48667 0.666302i −0.362718 0.0971901i 0.0728569 0.997342i \(-0.476788\pi\)
−0.435575 + 0.900152i \(0.643455\pi\)
\(48\) 1.38004 + 0.796765i 0.199191 + 0.115003i
\(49\) −5.78219 3.94542i −0.826027 0.563631i
\(50\) 3.11538 11.6267i 0.440581 1.64427i
\(51\) −6.59048 + 3.80501i −0.922852 + 0.532809i
\(52\) −9.98042 2.37961i −1.38404 0.329993i
\(53\) −3.91287 + 6.77729i −0.537474 + 0.930933i 0.461565 + 0.887106i \(0.347288\pi\)
−0.999039 + 0.0438262i \(0.986045\pi\)
\(54\) −2.12628 + 0.569735i −0.289350 + 0.0775311i
\(55\) 11.2976 6.52269i 1.52337 0.879520i
\(56\) −4.35487 + 2.30057i −0.581944 + 0.307426i
\(57\) 1.95154 1.95154i 0.258488 0.258488i
\(58\) −4.64375 + 4.64375i −0.609755 + 0.609755i
\(59\) −7.90374 2.11780i −1.02898 0.275714i −0.295440 0.955361i \(-0.595466\pi\)
−0.733539 + 0.679647i \(0.762133\pi\)
\(60\) 8.89327 2.38294i 1.14812 0.307637i
\(61\) 9.20877i 1.17906i 0.807746 + 0.589531i \(0.200688\pi\)
−0.807746 + 0.589531i \(0.799312\pi\)
\(62\) 2.94189 + 5.09551i 0.373621 + 0.647130i
\(63\) −0.780325 + 2.52806i −0.0983117 + 0.318506i
\(64\) 12.7302i 1.59128i
\(65\) 9.93701 6.11076i 1.23253 0.757947i
\(66\) 7.68652 + 4.43782i 0.946146 + 0.546257i
\(67\) 5.52580 5.52580i 0.675084 0.675084i −0.283799 0.958884i \(-0.591595\pi\)
0.958884 + 0.283799i \(0.0915950\pi\)
\(68\) 18.7543 + 10.8278i 2.27429 + 1.31306i
\(69\) −2.24848 + 3.89447i −0.270685 + 0.468840i
\(70\) 5.55759 18.0052i 0.664259 2.15204i
\(71\) −0.721147 2.69136i −0.0855844 0.319405i 0.909840 0.414960i \(-0.136204\pi\)
−0.995424 + 0.0955544i \(0.969538\pi\)
\(72\) 1.31631 + 1.31631i 0.155129 + 0.155129i
\(73\) 0.453517 + 1.69255i 0.0530802 + 0.198098i 0.987374 0.158406i \(-0.0506354\pi\)
−0.934294 + 0.356504i \(0.883969\pi\)
\(74\) −1.86962 3.23827i −0.217339 0.376441i
\(75\) −2.73406 + 4.73553i −0.315702 + 0.546812i
\(76\) −7.58612 2.03270i −0.870188 0.233166i
\(77\) 9.43244 4.98292i 1.07493 0.567856i
\(78\) 6.98094 + 3.77625i 0.790436 + 0.427576i
\(79\) 4.31023 + 7.46554i 0.484939 + 0.839939i 0.999850 0.0173043i \(-0.00550840\pi\)
−0.514911 + 0.857244i \(0.672175\pi\)
\(80\) 3.64569 + 3.64569i 0.407600 + 0.407600i
\(81\) 1.00000 0.111111
\(82\) −25.1003 −2.77186
\(83\) −1.63865 1.63865i −0.179865 0.179865i 0.611432 0.791297i \(-0.290594\pi\)
−0.791297 + 0.611432i \(0.790594\pi\)
\(84\) 7.34047 1.67396i 0.800910 0.182644i
\(85\) −23.7829 + 6.37260i −2.57962 + 0.691206i
\(86\) −4.15115 + 15.4923i −0.447631 + 1.67058i
\(87\) 2.58368 1.49169i 0.276999 0.159926i
\(88\) 7.50579i 0.800120i
\(89\) −4.66770 17.4201i −0.494775 1.84653i −0.531284 0.847194i \(-0.678290\pi\)
0.0365089 0.999333i \(-0.488376\pi\)
\(90\) −7.12215 −0.750740
\(91\) 8.30792 4.68812i 0.870907 0.491448i
\(92\) 12.7968 1.33416
\(93\) −0.691794 2.58181i −0.0717357 0.267721i
\(94\) 5.66697i 0.584504i
\(95\) 7.73317 4.46475i 0.793407 0.458074i
\(96\) −1.87150 + 6.98452i −0.191009 + 0.712855i
\(97\) −12.7508 + 3.41658i −1.29465 + 0.346901i −0.839425 0.543475i \(-0.817108\pi\)
−0.455226 + 0.890376i \(0.650441\pi\)
\(98\) 5.09475 14.5424i 0.514647 1.46900i
\(99\) −2.85107 2.85107i −0.286543 0.286543i
\(100\) 15.5604 1.55604
\(101\) 3.97164 0.395193 0.197597 0.980283i \(-0.436686\pi\)
0.197597 + 0.980283i \(0.436686\pi\)
\(102\) −11.8454 11.8454i −1.17286 1.17286i
\(103\) 1.90417 + 3.29812i 0.187623 + 0.324973i 0.944457 0.328634i \(-0.106588\pi\)
−0.756834 + 0.653607i \(0.773255\pi\)
\(104\) −0.186171 6.70932i −0.0182556 0.657903i
\(105\) −4.55566 + 7.24726i −0.444587 + 0.707260i
\(106\) −16.6397 4.45860i −1.61619 0.433057i
\(107\) 3.43298 5.94610i 0.331879 0.574832i −0.651001 0.759077i \(-0.725651\pi\)
0.982880 + 0.184245i \(0.0589840\pi\)
\(108\) −1.42283 2.46442i −0.136912 0.237139i
\(109\) 1.26210 + 4.71023i 0.120887 + 0.451158i 0.999660 0.0260833i \(-0.00830352\pi\)
−0.878772 + 0.477241i \(0.841637\pi\)
\(110\) 20.3057 + 20.3057i 1.93608 + 1.93608i
\(111\) 0.439645 + 1.64078i 0.0417293 + 0.155736i
\(112\) 2.86708 + 3.09115i 0.270914 + 0.292086i
\(113\) −4.45378 + 7.71418i −0.418977 + 0.725689i −0.995837 0.0911542i \(-0.970944\pi\)
0.576860 + 0.816843i \(0.304278\pi\)
\(114\) 5.26138 + 3.03766i 0.492774 + 0.284503i
\(115\) −10.2882 + 10.2882i −0.959376 + 0.959376i
\(116\) −7.35227 4.24484i −0.682642 0.394123i
\(117\) −2.61925 2.47781i −0.242149 0.229074i
\(118\) 18.0122i 1.65815i
\(119\) −19.6303 + 4.47660i −1.79950 + 0.410369i
\(120\) 3.01147 + 5.21601i 0.274908 + 0.476155i
\(121\) 5.25719i 0.477926i
\(122\) −19.5804 + 5.24656i −1.77273 + 0.475001i
\(123\) 11.0140 + 2.95120i 0.993101 + 0.266101i
\(124\) −5.37835 + 5.37835i −0.482990 + 0.482990i
\(125\) −1.07096 + 1.07096i −0.0957897 + 0.0957897i
\(126\) −5.81994 0.218864i −0.518482 0.0194980i
\(127\) 5.06664 2.92523i 0.449592 0.259572i −0.258066 0.966127i \(-0.583085\pi\)
0.707658 + 0.706555i \(0.249752\pi\)
\(128\) 13.0990 3.50987i 1.15780 0.310231i
\(129\) 3.64306 6.30996i 0.320753 0.555561i
\(130\) 18.6547 + 17.6473i 1.63612 + 1.54777i
\(131\) 2.26616 1.30837i 0.197995 0.114313i −0.397725 0.917505i \(-0.630200\pi\)
0.595720 + 0.803192i \(0.296867\pi\)
\(132\) −2.96963 + 11.0828i −0.258473 + 0.964635i
\(133\) 6.45645 3.41078i 0.559845 0.295752i
\(134\) 14.8976 + 8.60116i 1.28696 + 0.743027i
\(135\) 3.12520 + 0.837395i 0.268975 + 0.0720715i
\(136\) −3.66654 + 13.6837i −0.314403 + 1.17337i
\(137\) −2.91890 + 10.8935i −0.249379 + 0.930695i 0.721753 + 0.692151i \(0.243337\pi\)
−0.971132 + 0.238544i \(0.923330\pi\)
\(138\) −9.56178 2.56207i −0.813953 0.218098i
\(139\) 2.50525 + 1.44641i 0.212493 + 0.122683i 0.602469 0.798142i \(-0.294184\pi\)
−0.389977 + 0.920825i \(0.627517\pi\)
\(140\) 24.3422 + 0.915410i 2.05729 + 0.0773663i
\(141\) −0.666302 + 2.48667i −0.0561127 + 0.209416i
\(142\) 5.31171 3.06672i 0.445749 0.257353i
\(143\) 0.403238 + 14.5321i 0.0337204 + 1.21523i
\(144\) 0.796765 1.38004i 0.0663971 0.115003i
\(145\) 9.32365 2.49826i 0.774287 0.207469i
\(146\) −3.34045 + 1.92861i −0.276458 + 0.159613i
\(147\) −3.94542 + 5.78219i −0.325413 + 0.476907i
\(148\) 3.41802 3.41802i 0.280959 0.280959i
\(149\) −1.01600 + 1.01600i −0.0832337 + 0.0832337i −0.747498 0.664264i \(-0.768745\pi\)
0.664264 + 0.747498i \(0.268745\pi\)
\(150\) −11.6267 3.11538i −0.949320 0.254369i
\(151\) −7.75599 + 2.07821i −0.631174 + 0.169122i −0.560202 0.828356i \(-0.689277\pi\)
−0.0709714 + 0.997478i \(0.522610\pi\)
\(152\) 5.13767i 0.416720i
\(153\) 3.80501 + 6.59048i 0.307617 + 0.532809i
\(154\) 15.9691 + 17.2171i 1.28682 + 1.38739i
\(155\) 8.64798i 0.694623i
\(156\) −2.37961 + 9.98042i −0.190522 + 0.799073i
\(157\) −1.71529 0.990321i −0.136895 0.0790362i 0.429989 0.902834i \(-0.358518\pi\)
−0.566883 + 0.823798i \(0.691851\pi\)
\(158\) −13.4181 + 13.4181i −1.06749 + 1.06749i
\(159\) 6.77729 + 3.91287i 0.537474 + 0.310311i
\(160\) −11.6976 + 20.2609i −0.924777 + 1.60176i
\(161\) −8.72324 + 8.09093i −0.687488 + 0.637654i
\(162\) 0.569735 + 2.12628i 0.0447626 + 0.167056i
\(163\) −0.0789174 0.0789174i −0.00618129 0.00618129i 0.704009 0.710191i \(-0.251391\pi\)
−0.710191 + 0.704009i \(0.751391\pi\)
\(164\) −8.39811 31.3422i −0.655782 2.44741i
\(165\) −6.52269 11.2976i −0.507791 0.879520i
\(166\) 2.55063 4.41781i 0.197967 0.342889i
\(167\) 21.7275 + 5.82186i 1.68132 + 0.450509i 0.968128 0.250456i \(-0.0805805\pi\)
0.713195 + 0.700965i \(0.247247\pi\)
\(168\) 2.30057 + 4.35487i 0.177492 + 0.335985i
\(169\) 0.720896 + 12.9800i 0.0554536 + 0.998461i
\(170\) −27.0999 46.9384i −2.07847 3.60001i
\(171\) −1.95154 1.95154i −0.149238 0.149238i
\(172\) −20.7338 −1.58094
\(173\) 4.72817 0.359476 0.179738 0.983714i \(-0.442475\pi\)
0.179738 + 0.983714i \(0.442475\pi\)
\(174\) 4.64375 + 4.64375i 0.352042 + 0.352042i
\(175\) −10.6071 + 9.83825i −0.801823 + 0.743702i
\(176\) −6.20621 + 1.66295i −0.467811 + 0.125350i
\(177\) −2.11780 + 7.90374i −0.159184 + 0.594082i
\(178\) 34.3807 19.8497i 2.57694 1.48780i
\(179\) 22.9111i 1.71246i −0.516598 0.856228i \(-0.672802\pi\)
0.516598 0.856228i \(-0.327198\pi\)
\(180\) −2.38294 8.89327i −0.177614 0.662865i
\(181\) −4.84056 −0.359796 −0.179898 0.983685i \(-0.557577\pi\)
−0.179898 + 0.983685i \(0.557577\pi\)
\(182\) 14.7016 + 14.9940i 1.08975 + 1.11143i
\(183\) 9.20877 0.680732
\(184\) 2.16665 + 8.08604i 0.159727 + 0.596111i
\(185\) 5.49592i 0.404068i
\(186\) 5.09551 2.94189i 0.373621 0.215710i
\(187\) 7.94155 29.6383i 0.580744 2.16737i
\(188\) 7.07623 1.89607i 0.516087 0.138285i
\(189\) 2.52806 + 0.780325i 0.183889 + 0.0567603i
\(190\) 13.8992 + 13.8992i 1.00835 + 1.00835i
\(191\) 14.8270 1.07284 0.536422 0.843950i \(-0.319775\pi\)
0.536422 + 0.843950i \(0.319775\pi\)
\(192\) −12.7302 −0.918726
\(193\) −11.1217 11.1217i −0.800557 0.800557i 0.182626 0.983182i \(-0.441540\pi\)
−0.983182 + 0.182626i \(0.941540\pi\)
\(194\) −14.5292 25.1653i −1.04313 1.80676i
\(195\) −6.11076 9.93701i −0.437601 0.711604i
\(196\) 19.8634 + 1.49608i 1.41881 + 0.106863i
\(197\) −8.62996 2.31239i −0.614859 0.164751i −0.0620697 0.998072i \(-0.519770\pi\)
−0.552790 + 0.833321i \(0.686437\pi\)
\(198\) 4.43782 7.68652i 0.315382 0.546257i
\(199\) 3.40589 + 5.89918i 0.241437 + 0.418181i 0.961124 0.276117i \(-0.0890479\pi\)
−0.719687 + 0.694299i \(0.755715\pi\)
\(200\) 2.63456 + 9.83230i 0.186291 + 0.695249i
\(201\) −5.52580 5.52580i −0.389760 0.389760i
\(202\) 2.26278 + 8.44483i 0.159209 + 0.594176i
\(203\) 7.69569 1.75497i 0.540132 0.123175i
\(204\) 10.8278 18.7543i 0.758097 1.31306i
\(205\) 31.9497 + 18.4462i 2.23146 + 1.28834i
\(206\) −5.92785 + 5.92785i −0.413013 + 0.413013i
\(207\) 3.89447 + 2.24848i 0.270685 + 0.156280i
\(208\) −5.50639 + 1.64042i −0.381800 + 0.113743i
\(209\) 11.1280i 0.769737i
\(210\) −18.0052 5.55759i −1.24248 0.383510i
\(211\) −1.65897 2.87342i −0.114208 0.197814i 0.803255 0.595636i \(-0.203100\pi\)
−0.917463 + 0.397821i \(0.869766\pi\)
\(212\) 22.2694i 1.52947i
\(213\) −2.69136 + 0.721147i −0.184409 + 0.0494122i
\(214\) 14.5990 + 3.91178i 0.997965 + 0.267404i
\(215\) 16.6692 16.6692i 1.13683 1.13683i
\(216\) 1.31631 1.31631i 0.0895637 0.0895637i
\(217\) 0.265753 7.06680i 0.0180405 0.479725i
\(218\) −9.29619 + 5.36716i −0.629618 + 0.363510i
\(219\) 1.69255 0.453517i 0.114372 0.0306459i
\(220\) −18.5614 + 32.1493i −1.25141 + 2.16750i
\(221\) 6.36370 26.6902i 0.428069 1.79538i
\(222\) −3.23827 + 1.86962i −0.217339 + 0.125480i
\(223\) 5.97866 22.3127i 0.400361 1.49417i −0.412094 0.911141i \(-0.635202\pi\)
0.812455 0.583024i \(-0.198131\pi\)
\(224\) −10.1815 + 16.1969i −0.680277 + 1.08220i
\(225\) 4.73553 + 2.73406i 0.315702 + 0.182271i
\(226\) −18.9400 5.07495i −1.25987 0.337581i
\(227\) 4.46674 16.6701i 0.296468 1.10643i −0.643577 0.765382i \(-0.722550\pi\)
0.940045 0.341052i \(-0.110783\pi\)
\(228\) −2.03270 + 7.58612i −0.134619 + 0.502403i
\(229\) 7.29710 + 1.95525i 0.482206 + 0.129207i 0.491730 0.870748i \(-0.336365\pi\)
−0.00952370 + 0.999955i \(0.503032\pi\)
\(230\) −27.7370 16.0140i −1.82892 1.05593i
\(231\) −4.98292 9.43244i −0.327852 0.620609i
\(232\) 1.43740 5.36445i 0.0943699 0.352193i
\(233\) 18.4325 10.6420i 1.20755 0.697181i 0.245330 0.969440i \(-0.421104\pi\)
0.962224 + 0.272258i \(0.0877705\pi\)
\(234\) 3.77625 6.98094i 0.246861 0.456359i
\(235\) −4.16465 + 7.21339i −0.271672 + 0.470550i
\(236\) 22.4914 6.02655i 1.46406 0.392295i
\(237\) 7.46554 4.31023i 0.484939 0.279980i
\(238\) −20.7026 39.1890i −1.34195 2.54025i
\(239\) −14.8128 + 14.8128i −0.958161 + 0.958161i −0.999159 0.0409982i \(-0.986946\pi\)
0.0409982 + 0.999159i \(0.486946\pi\)
\(240\) 3.64569 3.64569i 0.235328 0.235328i
\(241\) −4.45546 1.19384i −0.287001 0.0769018i 0.112446 0.993658i \(-0.464131\pi\)
−0.399448 + 0.916756i \(0.630798\pi\)
\(242\) −11.1783 + 2.99521i −0.718566 + 0.192539i
\(243\) 1.00000i 0.0641500i
\(244\) −13.1025 22.6942i −0.838804 1.45285i
\(245\) −17.1722 + 14.7666i −1.09709 + 0.943405i
\(246\) 25.1003i 1.60034i
\(247\) 0.276014 + 9.94712i 0.0175623 + 0.632920i
\(248\) −4.30908 2.48785i −0.273627 0.157979i
\(249\) −1.63865 + 1.63865i −0.103845 + 0.103845i
\(250\) −2.88733 1.66700i −0.182611 0.105430i
\(251\) −7.81358 + 13.5335i −0.493189 + 0.854228i −0.999969 0.00784717i \(-0.997502\pi\)
0.506780 + 0.862075i \(0.330835\pi\)
\(252\) −1.67396 7.34047i −0.105450 0.462406i
\(253\) −4.69286 17.5140i −0.295037 1.10109i
\(254\) 9.10649 + 9.10649i 0.571392 + 0.571392i
\(255\) 6.37260 + 23.7829i 0.399068 + 1.48934i
\(256\) 2.19568 + 3.80304i 0.137230 + 0.237690i
\(257\) −1.95456 + 3.38540i −0.121922 + 0.211175i −0.920526 0.390682i \(-0.872239\pi\)
0.798604 + 0.601857i \(0.205572\pi\)
\(258\) 15.4923 + 4.15115i 0.964510 + 0.258440i
\(259\) −0.168890 + 4.49105i −0.0104943 + 0.279060i
\(260\) −15.7943 + 29.1981i −0.979523 + 1.81079i
\(261\) −1.49169 2.58368i −0.0923331 0.159926i
\(262\) 4.07306 + 4.07306i 0.251635 + 0.251635i
\(263\) 1.84465 0.113746 0.0568729 0.998381i \(-0.481887\pi\)
0.0568729 + 0.998381i \(0.481887\pi\)
\(264\) −7.50579 −0.461950
\(265\) 17.9038 + 17.9038i 1.09982 + 1.09982i
\(266\) 10.9307 + 11.7850i 0.670206 + 0.722584i
\(267\) −17.4201 + 4.66770i −1.06609 + 0.285659i
\(268\) −5.75559 + 21.4802i −0.351579 + 1.31211i
\(269\) 0.703253 0.406023i 0.0428781 0.0247557i −0.478408 0.878138i \(-0.658786\pi\)
0.521286 + 0.853382i \(0.325453\pi\)
\(270\) 7.12215i 0.433440i
\(271\) −1.77909 6.63966i −0.108072 0.403330i 0.890604 0.454781i \(-0.150282\pi\)
−0.998676 + 0.0514502i \(0.983616\pi\)
\(272\) 12.1268 0.735296
\(273\) −4.68812 8.30792i −0.283738 0.502818i
\(274\) −24.8256 −1.49977
\(275\) −5.70633 21.2963i −0.344105 1.28422i
\(276\) 12.7968i 0.770277i
\(277\) −16.4623 + 9.50450i −0.989122 + 0.571070i −0.905012 0.425387i \(-0.860138\pi\)
−0.0841102 + 0.996456i \(0.526805\pi\)
\(278\) −1.64814 + 6.15093i −0.0988487 + 0.368908i
\(279\) −2.58181 + 0.691794i −0.154569 + 0.0414166i
\(280\) 3.54299 + 15.5363i 0.211734 + 0.928473i
\(281\) 3.58709 + 3.58709i 0.213988 + 0.213988i 0.805959 0.591971i \(-0.201650\pi\)
−0.591971 + 0.805959i \(0.701650\pi\)
\(282\) −5.66697 −0.337463
\(283\) −14.0844 −0.837233 −0.418616 0.908163i \(-0.637485\pi\)
−0.418616 + 0.908163i \(0.637485\pi\)
\(284\) 5.60655 + 5.60655i 0.332688 + 0.332688i
\(285\) −4.46475 7.73317i −0.264469 0.458074i
\(286\) −30.6695 + 9.13682i −1.81353 + 0.540271i
\(287\) 25.5412 + 16.0553i 1.50765 + 0.947716i
\(288\) 6.98452 + 1.87150i 0.411567 + 0.110279i
\(289\) −20.4563 + 35.4313i −1.20331 + 2.08419i
\(290\) 10.6240 + 18.4013i 0.623863 + 1.08056i
\(291\) 3.41658 + 12.7508i 0.200283 + 0.747467i
\(292\) −3.52587 3.52587i −0.206336 0.206336i
\(293\) −7.18612 26.8190i −0.419818 1.56678i −0.774985 0.631979i \(-0.782243\pi\)
0.355168 0.934803i \(-0.384424\pi\)
\(294\) −14.5424 5.09475i −0.848129 0.297132i
\(295\) −13.2371 + 22.9274i −0.770695 + 1.33488i
\(296\) 2.73849 + 1.58107i 0.159171 + 0.0918976i
\(297\) −2.85107 + 2.85107i −0.165436 + 0.165436i
\(298\) −2.73914 1.58145i −0.158674 0.0916107i
\(299\) −4.62929 15.5391i −0.267718 0.898649i
\(300\) 15.5604i 0.898381i
\(301\) 14.1337 13.1092i 0.814653 0.755602i
\(302\) −8.83772 15.3074i −0.508553 0.880840i
\(303\) 3.97164i 0.228165i
\(304\) −4.24812 + 1.13828i −0.243646 + 0.0652848i
\(305\) 28.7793 + 7.71138i 1.64790 + 0.441553i
\(306\) −11.8454 + 11.8454i −0.677154 + 0.677154i
\(307\) 20.3066 20.3066i 1.15896 1.15896i 0.174260 0.984700i \(-0.444247\pi\)
0.984700 0.174260i \(-0.0557532\pi\)
\(308\) −16.1556 + 25.7007i −0.920551 + 1.46444i
\(309\) 3.29812 1.90417i 0.187623 0.108324i
\(310\) 18.3880 4.92706i 1.04437 0.279838i
\(311\) 3.76230 6.51650i 0.213341 0.369517i −0.739417 0.673247i \(-0.764899\pi\)
0.952758 + 0.303731i \(0.0982323\pi\)
\(312\) −6.70932 + 0.186171i −0.379840 + 0.0105399i
\(313\) 21.8314 12.6043i 1.23398 0.712439i 0.266124 0.963939i \(-0.414257\pi\)
0.967857 + 0.251500i \(0.0809237\pi\)
\(314\) 1.12844 4.21140i 0.0636816 0.237663i
\(315\) 7.24726 + 4.55566i 0.408337 + 0.256682i
\(316\) −21.2444 12.2655i −1.19509 0.689987i
\(317\) −7.23738 1.93925i −0.406492 0.108919i 0.0497787 0.998760i \(-0.484148\pi\)
−0.456270 + 0.889841i \(0.650815\pi\)
\(318\) −4.45860 + 16.6397i −0.250026 + 0.933109i
\(319\) −3.11334 + 11.6191i −0.174314 + 0.650547i
\(320\) −39.7846 10.6602i −2.22402 0.595926i
\(321\) −5.94610 3.43298i −0.331879 0.191611i
\(322\) −22.1735 13.9384i −1.23568 0.776755i
\(323\) 5.43595 20.2872i 0.302464 1.12881i
\(324\) −2.46442 + 1.42283i −0.136912 + 0.0790462i
\(325\) −5.62903 18.8949i −0.312242 1.04810i
\(326\) 0.122838 0.212762i 0.00680339 0.0117838i
\(327\) 4.71023 1.26210i 0.260476 0.0697943i
\(328\) 18.3826 10.6132i 1.01501 0.586015i
\(329\) −3.62486 + 5.76653i −0.199845 + 0.317919i
\(330\) 20.3057 20.3057i 1.11779 1.11779i
\(331\) 19.5567 19.5567i 1.07493 1.07493i 0.0779768 0.996955i \(-0.475154\pi\)
0.996955 0.0779768i \(-0.0248460\pi\)
\(332\) 6.36982 + 1.70679i 0.349589 + 0.0936722i
\(333\) 1.64078 0.439645i 0.0899141 0.0240924i
\(334\) 49.5156i 2.70937i
\(335\) −12.6420 21.8965i −0.690704 1.19634i
\(336\) 3.09115 2.86708i 0.168636 0.156412i
\(337\) 15.1198i 0.823630i −0.911267 0.411815i \(-0.864895\pi\)
0.911267 0.411815i \(-0.135105\pi\)
\(338\) −27.1884 + 8.92798i −1.47885 + 0.485618i
\(339\) 7.71418 + 4.45378i 0.418977 + 0.241896i
\(340\) 49.5438 49.5438i 2.68689 2.68689i
\(341\) 9.33327 + 5.38857i 0.505425 + 0.291807i
\(342\) 3.03766 5.26138i 0.164258 0.284503i
\(343\) −14.4862 + 11.5390i −0.782184 + 0.623048i
\(344\) −3.51048 13.1013i −0.189272 0.706373i
\(345\) 10.2882 + 10.2882i 0.553896 + 0.553896i
\(346\) 2.69381 + 10.0534i 0.144820 + 0.540475i
\(347\) −0.127576 0.220968i −0.00684864 0.0118622i 0.862581 0.505919i \(-0.168847\pi\)
−0.869429 + 0.494057i \(0.835513\pi\)
\(348\) −4.24484 + 7.35227i −0.227547 + 0.394123i
\(349\) −23.4871 6.29335i −1.25723 0.336875i −0.432108 0.901822i \(-0.642230\pi\)
−0.825127 + 0.564947i \(0.808897\pi\)
\(350\) −26.9621 16.9485i −1.44119 0.905936i
\(351\) −2.47781 + 2.61925i −0.132256 + 0.139805i
\(352\) −14.5776 25.2491i −0.776988 1.34578i
\(353\) 6.83333 + 6.83333i 0.363701 + 0.363701i 0.865174 0.501472i \(-0.167208\pi\)
−0.501472 + 0.865174i \(0.667208\pi\)
\(354\) −18.0122 −0.957335
\(355\) −9.01492 −0.478462
\(356\) 36.2890 + 36.2890i 1.92331 + 1.92331i
\(357\) 4.47660 + 19.6303i 0.236927 + 1.03894i
\(358\) 48.7154 13.0533i 2.57469 0.689886i
\(359\) −5.25807 + 19.6234i −0.277510 + 1.03568i 0.676630 + 0.736323i \(0.263440\pi\)
−0.954140 + 0.299360i \(0.903227\pi\)
\(360\) 5.21601 3.01147i 0.274908 0.158718i
\(361\) 11.3830i 0.599104i
\(362\) −2.75783 10.2924i −0.144949 0.540955i
\(363\) 5.25719 0.275931
\(364\) −13.8038 + 23.3742i −0.723515 + 1.22514i
\(365\) 5.66933 0.296746
\(366\) 5.24656 + 19.5804i 0.274242 + 1.02349i
\(367\) 21.7644i 1.13609i −0.822996 0.568047i \(-0.807699\pi\)
0.822996 0.568047i \(-0.192301\pi\)
\(368\) 6.20596 3.58301i 0.323508 0.186777i
\(369\) 2.95120 11.0140i 0.153633 0.573367i
\(370\) −11.6859 + 3.13122i −0.607519 + 0.162784i
\(371\) 14.0801 + 15.1805i 0.731002 + 0.788131i
\(372\) 5.37835 + 5.37835i 0.278854 + 0.278854i
\(373\) 15.5277 0.803994 0.401997 0.915641i \(-0.368316\pi\)
0.401997 + 0.915641i \(0.368316\pi\)
\(374\) 67.5438 3.49261
\(375\) 1.07096 + 1.07096i 0.0553042 + 0.0553042i
\(376\) 2.39617 + 4.15030i 0.123573 + 0.214035i
\(377\) −2.49477 + 10.4634i −0.128487 + 0.538893i
\(378\) −0.218864 + 5.81994i −0.0112572 + 0.299346i
\(379\) 22.4101 + 6.00477i 1.15113 + 0.308444i 0.783418 0.621495i \(-0.213474\pi\)
0.367712 + 0.929940i \(0.380141\pi\)
\(380\) −12.7052 + 22.0060i −0.651761 + 1.12888i
\(381\) −2.92523 5.06664i −0.149864 0.259572i
\(382\) 8.44746 + 31.5264i 0.432210 + 1.61303i
\(383\) 1.14154 + 1.14154i 0.0583300 + 0.0583300i 0.735670 0.677340i \(-0.236867\pi\)
−0.677340 + 0.735670i \(0.736867\pi\)
\(384\) −3.50987 13.0990i −0.179112 0.668456i
\(385\) −7.67394 33.6509i −0.391100 1.71501i
\(386\) 17.3114 29.9842i 0.881127 1.52616i
\(387\) −6.30996 3.64306i −0.320753 0.185187i
\(388\) 26.5621 26.5621i 1.34849 1.34849i
\(389\) −14.1958 8.19595i −0.719756 0.415551i 0.0949069 0.995486i \(-0.469745\pi\)
−0.814663 + 0.579935i \(0.803078\pi\)
\(390\) 17.6473 18.6547i 0.893608 0.944615i
\(391\) 34.2219i 1.73068i
\(392\) 2.41776 + 12.8046i 0.122115 + 0.646728i
\(393\) −1.30837 2.26616i −0.0659984 0.114313i
\(394\) 19.6672i 0.990818i
\(395\) 26.9407 7.21874i 1.35553 0.363214i
\(396\) 11.0828 + 2.96963i 0.556932 + 0.149230i
\(397\) −24.4888 + 24.4888i −1.22906 + 1.22906i −0.264735 + 0.964321i \(0.585284\pi\)
−0.964321 + 0.264735i \(0.914716\pi\)
\(398\) −10.6028 + 10.6028i −0.531472 + 0.531472i
\(399\) −3.41078 6.45645i −0.170753 0.323227i
\(400\) 7.54620 4.35680i 0.377310 0.217840i
\(401\) −34.9887 + 9.37520i −1.74725 + 0.468175i −0.984037 0.177966i \(-0.943048\pi\)
−0.763218 + 0.646142i \(0.776382\pi\)
\(402\) 8.60116 14.8976i 0.428987 0.743027i
\(403\) 8.47653 + 4.58526i 0.422246 + 0.228408i
\(404\) −9.78778 + 5.65098i −0.486960 + 0.281147i
\(405\) 0.837395 3.12520i 0.0416105 0.155293i
\(406\) 8.11606 + 15.3633i 0.402793 + 0.762469i
\(407\) −5.93143 3.42451i −0.294010 0.169747i
\(408\) 13.6837 + 3.66654i 0.677445 + 0.181521i
\(409\) 5.72054 21.3494i 0.282863 1.05566i −0.667525 0.744588i \(-0.732646\pi\)
0.950387 0.311070i \(-0.100687\pi\)
\(410\) −21.0189 + 78.4435i −1.03805 + 3.87405i
\(411\) 10.8935 + 2.91890i 0.537337 + 0.143979i
\(412\) −9.38533 5.41862i −0.462382 0.266956i
\(413\) −11.5214 + 18.3286i −0.566932 + 0.901890i
\(414\) −2.56207 + 9.56178i −0.125919 + 0.469936i
\(415\) −6.49329 + 3.74890i −0.318743 + 0.184026i
\(416\) −13.6570 22.2082i −0.669587 1.08885i
\(417\) 1.44641 2.50525i 0.0708309 0.122683i
\(418\) −23.6611 + 6.33999i −1.15730 + 0.310099i
\(419\) −6.99593 + 4.03910i −0.341774 + 0.197323i −0.661056 0.750336i \(-0.729891\pi\)
0.319282 + 0.947660i \(0.396558\pi\)
\(420\) 0.915410 24.3422i 0.0446674 1.18778i
\(421\) 5.31808 5.31808i 0.259187 0.259187i −0.565536 0.824724i \(-0.691331\pi\)
0.824724 + 0.565536i \(0.191331\pi\)
\(422\) 5.16452 5.16452i 0.251405 0.251405i
\(423\) 2.48667 + 0.666302i 0.120906 + 0.0323967i
\(424\) 14.0716 3.77047i 0.683377 0.183110i
\(425\) 41.6125i 2.01850i
\(426\) −3.06672 5.31171i −0.148583 0.257353i
\(427\) 23.2803 + 7.18583i 1.12661 + 0.347747i
\(428\) 19.5382i 0.944416i
\(429\) 14.5321 0.403238i 0.701615 0.0194685i
\(430\) 44.9405 + 25.9464i 2.16722 + 1.25125i
\(431\) −7.41610 + 7.41610i −0.357221 + 0.357221i −0.862787 0.505567i \(-0.831283\pi\)
0.505567 + 0.862787i \(0.331283\pi\)
\(432\) −1.38004 0.796765i −0.0663971 0.0383344i
\(433\) −2.59289 + 4.49102i −0.124607 + 0.215825i −0.921579 0.388191i \(-0.873100\pi\)
0.796973 + 0.604016i \(0.206434\pi\)
\(434\) 15.1774 3.46114i 0.728538 0.166140i
\(435\) −2.49826 9.32365i −0.119783 0.447035i
\(436\) −9.81220 9.81220i −0.469919 0.469919i
\(437\) −3.21223 11.9882i −0.153662 0.573474i
\(438\) 1.92861 + 3.34045i 0.0921525 + 0.159613i
\(439\) 4.33909 7.51552i 0.207093 0.358696i −0.743704 0.668509i \(-0.766933\pi\)
0.950798 + 0.309812i \(0.100266\pi\)
\(440\) −23.4571 6.28531i −1.11827 0.299641i
\(441\) 5.78219 + 3.94542i 0.275342 + 0.187877i
\(442\) 60.3764 1.67533i 2.87181 0.0796875i
\(443\) 5.13279 + 8.89025i 0.243866 + 0.422388i 0.961812 0.273710i \(-0.0882509\pi\)
−0.717946 + 0.696099i \(0.754918\pi\)
\(444\) −3.41802 3.41802i −0.162212 0.162212i
\(445\) −58.3500 −2.76606
\(446\) 50.8492 2.40778
\(447\) 1.01600 + 1.01600i 0.0480550 + 0.0480550i
\(448\) −32.1828 9.93372i −1.52050 0.469324i
\(449\) 7.73538 2.07269i 0.365055 0.0978162i −0.0716285 0.997431i \(-0.522820\pi\)
0.436684 + 0.899615i \(0.356153\pi\)
\(450\) −3.11538 + 11.6267i −0.146860 + 0.548090i
\(451\) −39.8158 + 22.9877i −1.87485 + 1.08245i
\(452\) 25.3479i 1.19227i
\(453\) 2.07821 + 7.75599i 0.0976429 + 0.364408i
\(454\) 37.9901 1.78297
\(455\) −7.69429 29.8897i −0.360714 1.40125i
\(456\) −5.13767 −0.240594
\(457\) −6.71765 25.0706i −0.314238 1.17275i −0.924696 0.380705i \(-0.875681\pi\)
0.610458 0.792049i \(-0.290985\pi\)
\(458\) 16.6296i 0.777052i
\(459\) 6.59048 3.80501i 0.307617 0.177603i
\(460\) 10.7160 39.9926i 0.499635 1.86466i
\(461\) −14.2955 + 3.83046i −0.665807 + 0.178402i −0.575865 0.817545i \(-0.695335\pi\)
−0.0899418 + 0.995947i \(0.528668\pi\)
\(462\) 17.2171 15.9691i 0.801010 0.742948i
\(463\) 6.69179 + 6.69179i 0.310994 + 0.310994i 0.845294 0.534301i \(-0.179425\pi\)
−0.534301 + 0.845294i \(0.679425\pi\)
\(464\) −4.75409 −0.220703
\(465\) −8.64798 −0.401041
\(466\) 33.1295 + 33.1295i 1.53470 + 1.53470i
\(467\) 15.6442 + 27.0965i 0.723925 + 1.25388i 0.959415 + 0.281998i \(0.0909973\pi\)
−0.235490 + 0.971877i \(0.575669\pi\)
\(468\) 9.98042 + 2.37961i 0.461345 + 0.109998i
\(469\) −9.65765 18.2815i −0.445949 0.844161i
\(470\) −17.7104 4.74550i −0.816922 0.218894i
\(471\) −0.990321 + 1.71529i −0.0456316 + 0.0790362i
\(472\) 7.61610 + 13.1915i 0.350559 + 0.607187i
\(473\) 7.60353 + 28.3767i 0.349611 + 1.30476i
\(474\) 13.4181 + 13.4181i 0.616316 + 0.616316i
\(475\) −3.90595 14.5772i −0.179217 0.668848i
\(476\) 42.0077 38.9628i 1.92542 1.78586i
\(477\) 3.91287 6.77729i 0.179158 0.310311i
\(478\) −39.9355 23.0568i −1.82661 1.05459i
\(479\) −23.0874 + 23.0874i −1.05489 + 1.05489i −0.0564893 + 0.998403i \(0.517991\pi\)
−0.998403 + 0.0564893i \(0.982009\pi\)
\(480\) 20.2609 + 11.6976i 0.924777 + 0.533920i
\(481\) −5.38696 2.91400i −0.245624 0.132867i
\(482\) 10.1537i 0.462489i
\(483\) 8.09093 + 8.72324i 0.368150 + 0.396921i
\(484\) −7.48010 12.9559i −0.340004 0.588905i
\(485\) 42.7099i 1.93936i
\(486\) 2.12628 0.569735i 0.0964500 0.0258437i
\(487\) −0.530719 0.142206i −0.0240492 0.00644395i 0.246774 0.969073i \(-0.420629\pi\)
−0.270824 + 0.962629i \(0.587296\pi\)
\(488\) 12.1216 12.1216i 0.548720 0.548720i
\(489\) −0.0789174 + 0.0789174i −0.00356877 + 0.00356877i
\(490\) −41.1816 28.0998i −1.86039 1.26942i
\(491\) −11.1482 + 6.43644i −0.503113 + 0.290472i −0.729998 0.683449i \(-0.760479\pi\)
0.226885 + 0.973921i \(0.427146\pi\)
\(492\) −31.3422 + 8.39811i −1.41301 + 0.378616i
\(493\) 11.3518 19.6619i 0.511259 0.885526i
\(494\) −20.9931 + 6.25410i −0.944524 + 0.281385i
\(495\) −11.2976 + 6.52269i −0.507791 + 0.293173i
\(496\) −1.10239 + 4.11419i −0.0494989 + 0.184733i
\(497\) −7.36664 0.277029i −0.330439 0.0124265i
\(498\) −4.41781 2.55063i −0.197967 0.114296i
\(499\) −3.59890 0.964321i −0.161109 0.0431689i 0.177363 0.984145i \(-0.443243\pi\)
−0.338472 + 0.940977i \(0.609910\pi\)
\(500\) 1.11550 4.16309i 0.0498866 0.186179i
\(501\) 5.82186 21.7275i 0.260102 0.970713i
\(502\) −33.2277 8.90334i −1.48303 0.397375i
\(503\) −12.0422 6.95256i −0.536935 0.309999i 0.206901 0.978362i \(-0.433662\pi\)
−0.743836 + 0.668362i \(0.766996\pi\)
\(504\) 4.35487 2.30057i 0.193981 0.102475i
\(505\) 3.32584 12.4122i 0.147998 0.552335i
\(506\) 34.5659 19.9566i 1.53664 0.887181i
\(507\) 12.9800 0.720896i 0.576462 0.0320161i
\(508\) −8.32421 + 14.4179i −0.369327 + 0.639693i
\(509\) 17.7870 4.76601i 0.788394 0.211249i 0.157912 0.987453i \(-0.449524\pi\)
0.630482 + 0.776204i \(0.282857\pi\)
\(510\) −46.9384 + 27.0999i −2.07847 + 1.20000i
\(511\) 4.63276 + 0.174219i 0.204941 + 0.00770700i
\(512\) 12.3429 12.3429i 0.545485 0.545485i
\(513\) −1.95154 + 1.95154i −0.0861626 + 0.0861626i
\(514\) −8.31188 2.22716i −0.366621 0.0982359i
\(515\) 11.9018 3.18908i 0.524457 0.140528i
\(516\) 20.7338i 0.912756i
\(517\) −5.19000 8.98935i −0.228256 0.395351i
\(518\) −9.64546 + 2.19960i −0.423797 + 0.0966450i
\(519\) 4.72817i 0.207544i
\(520\) −21.1239 5.03653i −0.926343 0.220866i
\(521\) 2.00007 + 1.15474i 0.0876246 + 0.0505901i 0.543172 0.839621i \(-0.317223\pi\)
−0.455547 + 0.890211i \(0.650556\pi\)
\(522\) 4.64375 4.64375i 0.203252 0.203252i
\(523\) 0.471611 + 0.272285i 0.0206221 + 0.0119062i 0.510276 0.860011i \(-0.329543\pi\)
−0.489654 + 0.871917i \(0.662877\pi\)
\(524\) −3.72317 + 6.44872i −0.162647 + 0.281714i
\(525\) 9.83825 + 10.6071i 0.429376 + 0.462933i
\(526\) 1.05096 + 3.92223i 0.0458240 + 0.171017i
\(527\) −14.3831 14.3831i −0.626537 0.626537i
\(528\) 1.66295 + 6.20621i 0.0723706 + 0.270091i
\(529\) −1.38871 2.40532i −0.0603787 0.104579i
\(530\) −27.8680 + 48.2689i −1.21051 + 2.09667i
\(531\) 7.90374 + 2.11780i 0.342993 + 0.0919048i
\(532\) −11.0584 + 17.5920i −0.479443 + 0.762711i
\(533\) −35.0206 + 21.5359i −1.51691 + 0.932824i
\(534\) −19.8497 34.3807i −0.858980 1.48780i
\(535\) −15.7080 15.7080i −0.679116 0.679116i
\(536\) −14.5474 −0.628350
\(537\) −22.9111 −0.988687
\(538\) 1.26399 + 1.26399i 0.0544943 + 0.0544943i
\(539\) −5.23675 27.7341i −0.225563 1.19459i
\(540\) −8.89327 + 2.38294i −0.382705 + 0.102546i
\(541\) −9.59647 + 35.8145i −0.412584 + 1.53979i 0.377041 + 0.926196i \(0.376941\pi\)
−0.789626 + 0.613589i \(0.789725\pi\)
\(542\) 13.1042 7.56569i 0.562872 0.324974i
\(543\) 4.84056i 0.207728i
\(544\) 14.2421 + 53.1524i 0.610627 + 2.27889i
\(545\) 15.7773 0.675825
\(546\) 14.9940 14.7016i 0.641683 0.629169i
\(547\) −11.4043 −0.487613 −0.243806 0.969824i \(-0.578396\pi\)
−0.243806 + 0.969824i \(0.578396\pi\)
\(548\) −8.30622 30.9992i −0.354824 1.32422i
\(549\) 9.20877i 0.393021i
\(550\) 42.0308 24.2665i 1.79220 1.03473i
\(551\) −2.13106 + 7.95324i −0.0907864 + 0.338819i
\(552\) 8.08604 2.16665i 0.344165 0.0922186i
\(553\) 22.2367 5.07098i 0.945602 0.215640i
\(554\) −29.5883 29.5883i −1.25709 1.25709i
\(555\) 5.49592 0.233289
\(556\) −8.23198 −0.349114
\(557\) 1.79124 + 1.79124i 0.0758971 + 0.0758971i 0.744036 0.668139i \(-0.232909\pi\)
−0.668139 + 0.744036i \(0.732909\pi\)
\(558\) −2.94189 5.09551i −0.124540 0.215710i
\(559\) 7.50053 + 25.1770i 0.317239 + 1.06487i
\(560\) 12.0613 6.37170i 0.509685 0.269253i
\(561\) −29.6383 7.94155i −1.25133 0.335293i
\(562\) −5.58346 + 9.67084i −0.235524 + 0.407940i
\(563\) −7.30294 12.6491i −0.307782 0.533094i 0.670095 0.742276i \(-0.266253\pi\)
−0.977877 + 0.209181i \(0.932920\pi\)
\(564\) −1.89607 7.07623i −0.0798389 0.297963i
\(565\) 20.3788 + 20.3788i 0.857342 + 0.857342i
\(566\) −8.02439 29.9474i −0.337290 1.25879i
\(567\) 0.780325 2.52806i 0.0327706 0.106169i
\(568\) −2.59341 + 4.49192i −0.108817 + 0.188477i
\(569\) 15.1038 + 8.72017i 0.633183 + 0.365568i 0.781984 0.623299i \(-0.214208\pi\)
−0.148801 + 0.988867i \(0.547541\pi\)
\(570\) 13.8992 13.8992i 0.582172 0.582172i
\(571\) 30.0741 + 17.3633i 1.25856 + 0.726630i 0.972795 0.231669i \(-0.0744187\pi\)
0.285766 + 0.958299i \(0.407752\pi\)
\(572\) −21.6704 35.2393i −0.906086 1.47343i
\(573\) 14.8270i 0.619407i
\(574\) −19.5864 + 63.4551i −0.817520 + 2.64856i
\(575\) 12.2949 + 21.2954i 0.512734 + 0.888081i
\(576\) 12.7302i 0.530427i
\(577\) 18.0494 4.83633i 0.751407 0.201339i 0.137265 0.990534i \(-0.456169\pi\)
0.614142 + 0.789196i \(0.289502\pi\)
\(578\) −86.9915 23.3093i −3.61837 0.969539i
\(579\) −11.1217 + 11.1217i −0.462202 + 0.462202i
\(580\) −19.4227 + 19.4227i −0.806485 + 0.806485i
\(581\) −5.42127 + 2.86392i −0.224912 + 0.118815i
\(582\) −25.1653 + 14.5292i −1.04313 + 0.602254i
\(583\) −30.4784 + 8.16666i −1.26229 + 0.338229i
\(584\) 1.63095 2.82489i 0.0674893 0.116895i
\(585\) −9.93701 + 6.11076i −0.410845 + 0.252649i
\(586\) 52.9305 30.5594i 2.18654 1.26240i
\(587\) 8.61022 32.1338i 0.355382 1.32630i −0.524622 0.851335i \(-0.675793\pi\)
0.880004 0.474967i \(-0.157540\pi\)
\(588\) 1.49608 19.8634i 0.0616971 0.819152i
\(589\) 6.38857 + 3.68844i 0.263237 + 0.151980i
\(590\) −56.2916 15.0833i −2.31749 0.620969i
\(591\) −2.31239 + 8.62996i −0.0951191 + 0.354989i
\(592\) 0.700588 2.61463i 0.0287940 0.107461i
\(593\) 4.42742 + 1.18632i 0.181812 + 0.0487164i 0.348576 0.937280i \(-0.386665\pi\)
−0.166764 + 0.985997i \(0.553332\pi\)
\(594\) −7.68652 4.43782i −0.315382 0.182086i
\(595\) −2.44804 + 65.0973i −0.100360 + 2.66873i
\(596\) 1.05825 3.94943i 0.0433475 0.161775i
\(597\) 5.89918 3.40589i 0.241437 0.139394i
\(598\) 30.4030 18.6963i 1.24327 0.764549i
\(599\) −9.84386 + 17.0501i −0.402209 + 0.696646i −0.993992 0.109451i \(-0.965091\pi\)
0.591783 + 0.806097i \(0.298424\pi\)
\(600\) 9.83230 2.63456i 0.401402 0.107555i
\(601\) 10.6224 6.13284i 0.433296 0.250164i −0.267454 0.963571i \(-0.586182\pi\)
0.700750 + 0.713407i \(0.252849\pi\)
\(602\) 35.9263 + 22.5834i 1.46425 + 0.920431i
\(603\) −5.52580 + 5.52580i −0.225028 + 0.225028i
\(604\) 16.1570 16.1570i 0.657421 0.657421i
\(605\) 16.4298 + 4.40235i 0.667966 + 0.178981i
\(606\) 8.44483 2.26278i 0.343048 0.0919193i
\(607\) 24.0707i 0.976998i −0.872564 0.488499i \(-0.837545\pi\)
0.872564 0.488499i \(-0.162455\pi\)
\(608\) −9.97828 17.2829i −0.404672 0.700913i
\(609\) −1.75497 7.69569i −0.0711149 0.311845i
\(610\) 65.5862i 2.65551i
\(611\) −4.86223 7.90671i −0.196705 0.319871i
\(612\) −18.7543 10.8278i −0.758097 0.437687i
\(613\) −34.2309 + 34.2309i −1.38257 + 1.38257i −0.542551 + 0.840023i \(0.682541\pi\)
−0.840023 + 0.542551i \(0.817459\pi\)
\(614\) 54.7469 + 31.6081i 2.20941 + 1.27560i
\(615\) 18.4462 31.9497i 0.743822 1.28834i
\(616\) −18.9751 5.85696i −0.764529 0.235983i
\(617\) 4.83334 + 18.0383i 0.194583 + 0.726194i 0.992374 + 0.123260i \(0.0393350\pi\)
−0.797791 + 0.602934i \(0.793998\pi\)
\(618\) 5.92785 + 5.92785i 0.238453 + 0.238453i
\(619\) 2.60140 + 9.70855i 0.104559 + 0.390219i 0.998295 0.0583743i \(-0.0185917\pi\)
−0.893736 + 0.448594i \(0.851925\pi\)
\(620\) 12.3046 + 21.3122i 0.494165 + 0.855920i
\(621\) 2.24848 3.89447i 0.0902282 0.156280i
\(622\) 15.9994 + 4.28703i 0.641518 + 0.171894i
\(623\) −47.6814 1.79310i −1.91032 0.0718391i
\(624\) 1.64042 + 5.50639i 0.0656695 + 0.220432i
\(625\) −11.2201 19.4339i −0.448806 0.777354i
\(626\) 39.2384 + 39.2384i 1.56828 + 1.56828i
\(627\) 11.1280 0.444408
\(628\) 5.63624 0.224910
\(629\) 9.14066 + 9.14066i 0.364462 + 0.364462i
\(630\) −5.55759 + 18.0052i −0.221420 + 0.717345i
\(631\) 8.95627 2.39983i 0.356543 0.0955355i −0.0761011 0.997100i \(-0.524247\pi\)
0.432645 + 0.901565i \(0.357581\pi\)
\(632\) 4.15337 15.5006i 0.165212 0.616580i
\(633\) −2.87342 + 1.65897i −0.114208 + 0.0659381i
\(634\) 16.4936i 0.655043i
\(635\) −4.89914 18.2838i −0.194416 0.725572i
\(636\) −22.2694 −0.883040
\(637\) −5.36896 24.6612i −0.212726 0.977112i
\(638\) −26.4793 −1.04833
\(639\) 0.721147 + 2.69136i 0.0285281 + 0.106468i
\(640\) 43.8762i 1.73436i
\(641\) 27.8044 16.0529i 1.09821 0.634052i 0.162459 0.986715i \(-0.448057\pi\)
0.935750 + 0.352664i \(0.114724\pi\)
\(642\) 3.91178 14.5990i 0.154386 0.576175i
\(643\) −7.89631 + 2.11581i −0.311400 + 0.0834393i −0.411134 0.911575i \(-0.634867\pi\)
0.0997345 + 0.995014i \(0.468201\pi\)
\(644\) 9.98567 32.3511i 0.393490 1.27481i
\(645\) −16.6692 16.6692i −0.656350 0.656350i
\(646\) 46.2334 1.81903
\(647\) 8.00103 0.314553 0.157276 0.987555i \(-0.449729\pi\)
0.157276 + 0.987555i \(0.449729\pi\)
\(648\) −1.31631 1.31631i −0.0517096 0.0517096i
\(649\) −16.4961 28.5721i −0.647529 1.12155i
\(650\) 36.9688 22.7340i 1.45004 0.891700i
\(651\) −7.06680 0.265753i −0.276970 0.0104157i
\(652\) 0.306771 + 0.0821991i 0.0120141 + 0.00321917i
\(653\) 22.5078 38.9846i 0.880797 1.52558i 0.0303396 0.999540i \(-0.490341\pi\)
0.850457 0.526045i \(-0.176326\pi\)
\(654\) 5.36716 + 9.29619i 0.209873 + 0.363510i
\(655\) −2.19124 8.17782i −0.0856189 0.319534i
\(656\) −12.8483 12.8483i −0.501644 0.501644i
\(657\) −0.453517 1.69255i −0.0176934 0.0660326i
\(658\) −14.3265 4.42208i −0.558504 0.172391i
\(659\) 15.9656 27.6532i 0.621930 1.07721i −0.367196 0.930144i \(-0.619682\pi\)
0.989126 0.147071i \(-0.0469845\pi\)
\(660\) 32.1493 + 18.5614i 1.25141 + 0.722501i
\(661\) −11.2018 + 11.2018i −0.435699 + 0.435699i −0.890561 0.454863i \(-0.849688\pi\)
0.454863 + 0.890561i \(0.349688\pi\)
\(662\) 52.7251 + 30.4408i 2.04922 + 1.18312i
\(663\) −26.6902 6.36370i −1.03656 0.247146i
\(664\) 4.31394i 0.167413i
\(665\) −5.25277 23.0339i −0.203694 0.893216i
\(666\) 1.86962 + 3.23827i 0.0724462 + 0.125480i
\(667\) 13.4161i 0.519473i
\(668\) −61.8291 + 16.5671i −2.39224 + 0.640999i
\(669\) −22.3127 5.97866i −0.862657 0.231148i
\(670\) 39.3556 39.3556i 1.52044 1.52044i
\(671\) −26.2548 + 26.2548i −1.01356 + 1.01356i
\(672\) 16.1969 + 10.1815i 0.624810 + 0.392758i
\(673\) −2.46102 + 1.42087i −0.0948654 + 0.0547706i −0.546682 0.837340i \(-0.684109\pi\)
0.451817 + 0.892111i \(0.350776\pi\)
\(674\) 32.1490 8.61430i 1.23833 0.331811i
\(675\) 2.73406 4.73553i 0.105234 0.182271i
\(676\) −20.2449 30.9624i −0.778651 1.19086i
\(677\) 5.65487 3.26484i 0.217334 0.125478i −0.387381 0.921920i \(-0.626620\pi\)
0.604715 + 0.796442i \(0.293287\pi\)
\(678\) −5.07495 + 18.9400i −0.194902 + 0.727385i
\(679\) −1.31248 + 34.9009i −0.0503684 + 1.33937i
\(680\) 39.6940 + 22.9173i 1.52220 + 0.878840i
\(681\) −16.6701 4.46674i −0.638800 0.171166i
\(682\) −6.14011 + 22.9152i −0.235117 + 0.877468i
\(683\) −8.43502 + 31.4799i −0.322757 + 1.20455i 0.593790 + 0.804620i \(0.297631\pi\)
−0.916547 + 0.399926i \(0.869036\pi\)
\(684\) 7.58612 + 2.03270i 0.290063 + 0.0777221i
\(685\) 31.6001 + 18.2443i 1.20738 + 0.697080i
\(686\) −32.7885 24.2276i −1.25187 0.925015i
\(687\) 1.95525 7.29710i 0.0745975 0.278402i
\(688\) −10.0551 + 5.80532i −0.383347 + 0.221326i
\(689\) −27.0416 + 8.05603i −1.03020 + 0.306910i
\(690\) −16.0140 + 27.7370i −0.609642 + 1.05593i
\(691\) −25.2233 + 6.75857i −0.959541 + 0.257108i −0.704406 0.709797i \(-0.748787\pi\)
−0.255135 + 0.966905i \(0.582120\pi\)
\(692\) −11.6522 + 6.72739i −0.442950 + 0.255737i
\(693\) −9.43244 + 4.98292i −0.358309 + 0.189285i
\(694\) 0.397155 0.397155i 0.0150758 0.0150758i
\(695\) 6.61820 6.61820i 0.251043 0.251043i
\(696\) −5.36445 1.43740i −0.203339 0.0544845i
\(697\) 83.8170 22.4587i 3.17480 0.850684i
\(698\) 53.5257i 2.02598i
\(699\) −10.6420 18.4325i −0.402518 0.697181i
\(700\) 12.1422 39.3377i 0.458931 1.48682i
\(701\) 41.5208i 1.56822i −0.620623 0.784109i \(-0.713120\pi\)
0.620623 0.784109i \(-0.286880\pi\)
\(702\) −6.98094 3.77625i −0.263479 0.142525i
\(703\) −4.06003 2.34406i −0.153127 0.0884079i
\(704\) 36.2948 36.2948i 1.36791 1.36791i
\(705\) 7.21339 + 4.16465i 0.271672 + 0.156850i
\(706\) −10.6364 + 18.4227i −0.400305 + 0.693349i
\(707\) 3.09917 10.0406i 0.116556 0.377614i
\(708\) −6.02655 22.4914i −0.226492 0.845278i
\(709\) −32.3620 32.3620i −1.21538 1.21538i −0.969232 0.246149i \(-0.920835\pi\)
−0.246149 0.969232i \(-0.579165\pi\)
\(710\) −5.13611 19.1682i −0.192755 0.719371i
\(711\) −4.31023 7.46554i −0.161646 0.279980i
\(712\) −16.7861 + 29.0744i −0.629087 + 1.08961i
\(713\) −11.6103 3.11096i −0.434808 0.116507i
\(714\) −39.1890 + 20.7026i −1.46661 + 0.774773i
\(715\) 45.7533 + 10.9089i 1.71108 + 0.407969i
\(716\) 32.5986 + 56.4625i 1.21827 + 2.11010i
\(717\) 14.8128 + 14.8128i 0.553195 + 0.553195i
\(718\) −44.7205 −1.66896
\(719\) −42.5082 −1.58529 −0.792645 0.609684i \(-0.791296\pi\)
−0.792645 + 0.609684i \(0.791296\pi\)
\(720\) −3.64569 3.64569i −0.135867 0.135867i
\(721\) 9.82371 2.24025i 0.365854 0.0834313i
\(722\) 24.2034 6.48528i 0.900757 0.241357i
\(723\) −1.19384 + 4.45546i −0.0443992 + 0.165700i
\(724\) 11.9291 6.88729i 0.443343 0.255964i
\(725\) 16.3134i 0.605866i
\(726\) 2.99521 + 11.1783i 0.111162 + 0.414864i
\(727\) −44.5147 −1.65096 −0.825479 0.564433i \(-0.809095\pi\)
−0.825479 + 0.564433i \(0.809095\pi\)
\(728\) −17.1068 4.76479i −0.634022 0.176595i
\(729\) −1.00000 −0.0370370
\(730\) 3.23002 + 12.0546i 0.119548 + 0.446160i
\(731\) 55.4476i 2.05080i
\(732\) −22.6942 + 13.1025i −0.838804 + 0.484283i
\(733\) 0.0203237 0.0758491i 0.000750673 0.00280155i −0.965549 0.260220i \(-0.916205\pi\)
0.966300 + 0.257418i \(0.0828717\pi\)
\(734\) 46.2772 12.3999i 1.70812 0.457691i
\(735\) 14.7666 + 17.1722i 0.544675 + 0.633406i
\(736\) 22.9930 + 22.9930i 0.847534 + 0.847534i
\(737\) 31.5089 1.16064
\(738\) 25.1003 0.923954
\(739\) −29.2407 29.2407i −1.07564 1.07564i −0.996895 0.0787424i \(-0.974910\pi\)
−0.0787424 0.996895i \(-0.525090\pi\)
\(740\) −7.81977 13.5442i −0.287460 0.497896i
\(741\) 9.94712 0.276014i 0.365417 0.0101396i
\(742\) −24.2560 + 38.5871i −0.890466 + 1.41658i
\(743\) 28.0978 + 7.52879i 1.03081 + 0.276205i 0.734300 0.678825i \(-0.237511\pi\)
0.296510 + 0.955030i \(0.404177\pi\)
\(744\) −2.48785 + 4.30908i −0.0912090 + 0.157979i
\(745\) 2.32441 + 4.02599i 0.0851596 + 0.147501i
\(746\) 8.84667 + 33.0162i 0.323900 + 1.20881i
\(747\) 1.63865 + 1.63865i 0.0599549 + 0.0599549i
\(748\) 22.5990 + 84.3405i 0.826300 + 3.08380i
\(749\) −12.3533 13.3187i −0.451379 0.486654i
\(750\) −1.66700 + 2.88733i −0.0608702 + 0.105430i
\(751\) 1.12001 + 0.646638i 0.0408697 + 0.0235961i 0.520296 0.853986i \(-0.325822\pi\)
−0.479426 + 0.877582i \(0.659155\pi\)
\(752\) 2.90081 2.90081i 0.105782 0.105782i
\(753\) 13.5335 + 7.81358i 0.493189 + 0.284743i
\(754\) −23.6695 + 0.656784i −0.861992 + 0.0239187i
\(755\) 25.9793i 0.945484i
\(756\) −7.34047 + 1.67396i −0.266970 + 0.0608813i
\(757\) 23.6428 + 40.9506i 0.859313 + 1.48837i 0.872586 + 0.488461i \(0.162442\pi\)
−0.0132729 + 0.999912i \(0.504225\pi\)
\(758\) 51.0713i 1.85499i
\(759\) −17.5140 + 4.69286i −0.635717 + 0.170340i
\(760\) −16.0563 4.30226i −0.582422 0.156059i
\(761\) 15.0892 15.0892i 0.546983 0.546983i −0.378584 0.925567i \(-0.623589\pi\)
0.925567 + 0.378584i \(0.123589\pi\)
\(762\) 9.10649 9.10649i 0.329893 0.329893i
\(763\) 12.8926 + 0.484837i 0.466743 + 0.0175523i
\(764\) −36.5399 + 21.0963i −1.32197 + 0.763238i
\(765\) 23.7829 6.37260i 0.859872 0.230402i
\(766\) −1.77686 + 3.07761i −0.0642005 + 0.111199i
\(767\) −15.4543 25.1310i −0.558024 0.907429i
\(768\) 3.80304 2.19568i 0.137230 0.0792299i
\(769\) 6.12447 22.8568i 0.220854 0.824238i −0.763169 0.646198i \(-0.776358\pi\)
0.984023 0.178040i \(-0.0569755\pi\)
\(770\) 67.1792 35.4891i 2.42097 1.27894i
\(771\) 3.38540 + 1.95456i 0.121922 + 0.0703918i
\(772\) 43.2327 + 11.5842i 1.55598 + 0.416924i
\(773\) −13.0876 + 48.8435i −0.470728 + 1.75678i 0.166437 + 0.986052i \(0.446774\pi\)
−0.637165 + 0.770728i \(0.719893\pi\)
\(774\)