Properties

Label 570.2.u.b.481.1
Level $570$
Weight $2$
Character 570.481
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 481.1
Root \(0.939693 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 570.481
Dual form 570.2.u.b.301.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.705737 - 1.22237i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.705737 - 1.22237i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(0.766044 + 0.642788i) q^{10} +(2.76604 + 4.79093i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-4.69846 + 1.71010i) q^{13} +(0.245100 + 1.39003i) q^{14} +(-0.173648 + 0.984808i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(5.94356 - 4.98724i) q^{17} -1.00000 q^{18} +(-2.23396 - 3.74292i) q^{19} -1.00000 q^{20} +(-1.08125 + 0.907278i) q^{21} +(-5.19846 - 1.89209i) q^{22} +(1.44697 - 8.20616i) q^{23} +(-0.173648 - 0.984808i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(2.50000 - 4.33013i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-1.08125 - 0.907278i) q^{28} +(1.34730 + 1.13052i) q^{29} +(-0.500000 - 0.866025i) q^{30} +(2.71688 - 4.70578i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.960637 - 5.44804i) q^{33} +(-1.34730 + 7.64090i) q^{34} +(-1.32635 - 0.482753i) q^{35} +(0.766044 - 0.642788i) q^{36} +3.50980 q^{37} +(4.11721 + 1.43128i) q^{38} +5.00000 q^{39} +(0.766044 - 0.642788i) q^{40} +(4.89306 + 1.78093i) q^{41} +(0.245100 - 1.39003i) q^{42} +(-0.837496 - 4.74968i) q^{43} +(5.19846 - 1.89209i) q^{44} +(0.500000 - 0.866025i) q^{45} +(4.16637 + 7.21637i) q^{46} +(2.04916 + 1.71945i) q^{47} +(0.766044 + 0.642788i) q^{48} +(2.50387 + 4.33683i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-7.29086 + 2.65366i) q^{51} +(0.868241 + 4.92404i) q^{52} +(1.52822 - 8.66696i) q^{53} +(0.939693 + 0.342020i) q^{54} +(4.23783 - 3.55596i) q^{55} +1.41147 q^{56} +(0.819078 + 4.28125i) q^{57} -1.75877 q^{58} +(-5.24170 + 4.39831i) q^{59} +(0.939693 + 0.342020i) q^{60} +(1.67499 - 9.49935i) q^{61} +(0.943563 + 5.35121i) q^{62} +(1.32635 - 0.482753i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(2.50000 + 4.33013i) q^{65} +(4.23783 + 3.55596i) q^{66} +(-5.29086 - 4.43956i) q^{67} +(-3.87939 - 6.71929i) q^{68} +(-4.16637 + 7.21637i) q^{69} +(1.32635 - 0.482753i) q^{70} +(-0.361844 - 2.05212i) q^{71} +(-0.173648 + 0.984808i) q^{72} +(-0.800660 - 0.291416i) q^{73} +(-2.68866 + 2.25606i) q^{74} +1.00000 q^{75} +(-4.07398 + 1.55007i) q^{76} +7.80840 q^{77} +(-3.83022 + 3.21394i) q^{78} +(-9.06418 - 3.29909i) q^{79} +(-0.173648 + 0.984808i) q^{80} +(0.173648 + 0.984808i) q^{81} +(-4.89306 + 1.78093i) q^{82} +(-1.18479 + 2.05212i) q^{83} +(0.705737 + 1.22237i) q^{84} +(-5.94356 - 4.98724i) q^{85} +(3.69459 + 3.10013i) q^{86} +(-0.879385 - 1.52314i) q^{87} +(-2.76604 + 4.79093i) q^{88} +(13.3623 - 4.86348i) q^{89} +(0.173648 + 0.984808i) q^{90} +(-1.22550 + 6.95015i) q^{91} +(-7.83022 - 2.84997i) q^{92} +(-4.16250 + 3.49276i) q^{93} -2.67499 q^{94} +(-3.29813 + 2.84997i) q^{95} -1.00000 q^{96} +(11.1061 - 9.31910i) q^{97} +(-4.70574 - 1.71275i) q^{98} +(-0.960637 + 5.44804i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 6q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 6q^{7} + 3q^{8} + 12q^{11} - 3q^{12} + 6q^{17} - 6q^{18} - 18q^{19} - 6q^{20} - 9q^{21} - 3q^{22} + 21q^{23} + 15q^{26} - 3q^{27} - 9q^{28} + 6q^{29} - 3q^{30} + 3q^{33} - 6q^{34} - 9q^{35} + 24q^{37} - 6q^{38} + 30q^{39} - 3q^{41} + 3q^{44} + 3q^{45} + 6q^{46} + 24q^{47} - 9q^{49} + 3q^{50} - 12q^{51} + 24q^{53} + 6q^{55} - 12q^{56} - 12q^{57} + 12q^{58} + 12q^{59} - 24q^{62} + 9q^{63} - 3q^{64} + 15q^{65} + 6q^{66} - 12q^{68} - 6q^{69} + 9q^{70} - 36q^{71} + 24q^{73} + 15q^{74} + 6q^{75} - 9q^{76} - 30q^{77} - 36q^{79} + 3q^{82} - 6q^{84} - 6q^{85} + 18q^{86} + 6q^{87} - 12q^{88} + 48q^{89} - 24q^{92} - 30q^{93} - 6q^{94} - 6q^{95} - 6q^{96} + 42q^{97} - 18q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) −0.939693 0.342020i −0.542532 0.197465i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −0.173648 0.984808i −0.0776578 0.440419i
\(6\) 0.939693 0.342020i 0.383628 0.139629i
\(7\) 0.705737 1.22237i 0.266744 0.462013i −0.701275 0.712890i \(-0.747386\pi\)
0.968019 + 0.250877i \(0.0807190\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.766044 + 0.642788i 0.255348 + 0.214263i
\(10\) 0.766044 + 0.642788i 0.242245 + 0.203267i
\(11\) 2.76604 + 4.79093i 0.833994 + 1.44452i 0.894847 + 0.446373i \(0.147284\pi\)
−0.0608533 + 0.998147i \(0.519382\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) −4.69846 + 1.71010i −1.30312 + 0.474297i −0.898011 0.439972i \(-0.854988\pi\)
−0.405108 + 0.914269i \(0.632766\pi\)
\(14\) 0.245100 + 1.39003i 0.0655057 + 0.371501i
\(15\) −0.173648 + 0.984808i −0.0448358 + 0.254276i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 5.94356 4.98724i 1.44153 1.20958i 0.503041 0.864262i \(-0.332214\pi\)
0.938485 0.345321i \(-0.112230\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.23396 3.74292i −0.512505 0.858685i
\(20\) −1.00000 −0.223607
\(21\) −1.08125 + 0.907278i −0.235949 + 0.197984i
\(22\) −5.19846 1.89209i −1.10832 0.403394i
\(23\) 1.44697 8.20616i 0.301713 1.71110i −0.336872 0.941551i \(-0.609369\pi\)
0.638585 0.769551i \(-0.279520\pi\)
\(24\) −0.173648 0.984808i −0.0354458 0.201023i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) 2.50000 4.33013i 0.490290 0.849208i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) −1.08125 0.907278i −0.204337 0.171459i
\(29\) 1.34730 + 1.13052i 0.250187 + 0.209932i 0.759253 0.650796i \(-0.225565\pi\)
−0.509066 + 0.860727i \(0.670009\pi\)
\(30\) −0.500000 0.866025i −0.0912871 0.158114i
\(31\) 2.71688 4.70578i 0.487966 0.845182i −0.511938 0.859022i \(-0.671072\pi\)
0.999904 + 0.0138400i \(0.00440555\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) −0.960637 5.44804i −0.167225 0.948383i
\(34\) −1.34730 + 7.64090i −0.231059 + 1.31040i
\(35\) −1.32635 0.482753i −0.224194 0.0816001i
\(36\) 0.766044 0.642788i 0.127674 0.107131i
\(37\) 3.50980 0.577008 0.288504 0.957479i \(-0.406842\pi\)
0.288504 + 0.957479i \(0.406842\pi\)
\(38\) 4.11721 + 1.43128i 0.667900 + 0.232185i
\(39\) 5.00000 0.800641
\(40\) 0.766044 0.642788i 0.121122 0.101634i
\(41\) 4.89306 + 1.78093i 0.764167 + 0.278134i 0.694554 0.719440i \(-0.255602\pi\)
0.0696124 + 0.997574i \(0.477824\pi\)
\(42\) 0.245100 1.39003i 0.0378197 0.214486i
\(43\) −0.837496 4.74968i −0.127717 0.724319i −0.979657 0.200679i \(-0.935685\pi\)
0.851940 0.523639i \(-0.175426\pi\)
\(44\) 5.19846 1.89209i 0.783698 0.285243i
\(45\) 0.500000 0.866025i 0.0745356 0.129099i
\(46\) 4.16637 + 7.21637i 0.614298 + 1.06400i
\(47\) 2.04916 + 1.71945i 0.298901 + 0.250808i 0.779887 0.625921i \(-0.215277\pi\)
−0.480986 + 0.876728i \(0.659721\pi\)
\(48\) 0.766044 + 0.642788i 0.110569 + 0.0927784i
\(49\) 2.50387 + 4.33683i 0.357696 + 0.619547i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −7.29086 + 2.65366i −1.02092 + 0.371586i
\(52\) 0.868241 + 4.92404i 0.120403 + 0.682841i
\(53\) 1.52822 8.66696i 0.209917 1.19050i −0.679595 0.733587i \(-0.737845\pi\)
0.889512 0.456911i \(-0.151044\pi\)
\(54\) 0.939693 + 0.342020i 0.127876 + 0.0465430i
\(55\) 4.23783 3.55596i 0.571428 0.479485i
\(56\) 1.41147 0.188616
\(57\) 0.819078 + 4.28125i 0.108490 + 0.567066i
\(58\) −1.75877 −0.230938
\(59\) −5.24170 + 4.39831i −0.682411 + 0.572611i −0.916710 0.399554i \(-0.869165\pi\)
0.234299 + 0.972165i \(0.424721\pi\)
\(60\) 0.939693 + 0.342020i 0.121314 + 0.0441546i
\(61\) 1.67499 9.49935i 0.214461 1.21627i −0.667379 0.744718i \(-0.732584\pi\)
0.881840 0.471549i \(-0.156305\pi\)
\(62\) 0.943563 + 5.35121i 0.119833 + 0.679605i
\(63\) 1.32635 0.482753i 0.167105 0.0608211i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 2.50000 + 4.33013i 0.310087 + 0.537086i
\(66\) 4.23783 + 3.55596i 0.521640 + 0.437708i
\(67\) −5.29086 4.43956i −0.646381 0.542378i 0.259589 0.965719i \(-0.416413\pi\)
−0.905971 + 0.423341i \(0.860857\pi\)
\(68\) −3.87939 6.71929i −0.470445 0.814834i
\(69\) −4.16637 + 7.21637i −0.501573 + 0.868749i
\(70\) 1.32635 0.482753i 0.158529 0.0577000i
\(71\) −0.361844 2.05212i −0.0429430 0.243542i 0.955779 0.294087i \(-0.0950154\pi\)
−0.998722 + 0.0505446i \(0.983904\pi\)
\(72\) −0.173648 + 0.984808i −0.0204646 + 0.116061i
\(73\) −0.800660 0.291416i −0.0937101 0.0341077i 0.294740 0.955578i \(-0.404767\pi\)
−0.388450 + 0.921470i \(0.626989\pi\)
\(74\) −2.68866 + 2.25606i −0.312551 + 0.262261i
\(75\) 1.00000 0.115470
\(76\) −4.07398 + 1.55007i −0.467317 + 0.177805i
\(77\) 7.80840 0.889850
\(78\) −3.83022 + 3.21394i −0.433687 + 0.363907i
\(79\) −9.06418 3.29909i −1.01980 0.371177i −0.222611 0.974907i \(-0.571458\pi\)
−0.797188 + 0.603731i \(0.793680\pi\)
\(80\) −0.173648 + 0.984808i −0.0194145 + 0.110105i
\(81\) 0.173648 + 0.984808i 0.0192942 + 0.109423i
\(82\) −4.89306 + 1.78093i −0.540348 + 0.196670i
\(83\) −1.18479 + 2.05212i −0.130048 + 0.225250i −0.923695 0.383129i \(-0.874846\pi\)
0.793647 + 0.608379i \(0.208180\pi\)
\(84\) 0.705737 + 1.22237i 0.0770022 + 0.133372i
\(85\) −5.94356 4.98724i −0.644670 0.540942i
\(86\) 3.69459 + 3.10013i 0.398398 + 0.334296i
\(87\) −0.879385 1.52314i −0.0942800 0.163298i
\(88\) −2.76604 + 4.79093i −0.294861 + 0.510715i
\(89\) 13.3623 4.86348i 1.41640 0.515528i 0.483400 0.875399i \(-0.339402\pi\)
0.933002 + 0.359871i \(0.117179\pi\)
\(90\) 0.173648 + 0.984808i 0.0183041 + 0.103808i
\(91\) −1.22550 + 6.95015i −0.128467 + 0.728574i
\(92\) −7.83022 2.84997i −0.816357 0.297130i
\(93\) −4.16250 + 3.49276i −0.431632 + 0.362182i
\(94\) −2.67499 −0.275904
\(95\) −3.29813 + 2.84997i −0.338381 + 0.292401i
\(96\) −1.00000 −0.102062
\(97\) 11.1061 9.31910i 1.12765 0.946211i 0.128685 0.991686i \(-0.458924\pi\)
0.998965 + 0.0454747i \(0.0144800\pi\)
\(98\) −4.70574 1.71275i −0.475351 0.173014i
\(99\) −0.960637 + 5.44804i −0.0965477 + 0.547549i
\(100\) 0.173648 + 0.984808i 0.0173648 + 0.0984808i
\(101\) 16.8084 6.11776i 1.67250 0.608740i 0.680247 0.732983i \(-0.261873\pi\)
0.992252 + 0.124244i \(0.0396505\pi\)
\(102\) 3.87939 6.71929i 0.384116 0.665309i
\(103\) 2.46451 + 4.26865i 0.242835 + 0.420603i 0.961521 0.274732i \(-0.0885893\pi\)
−0.718686 + 0.695335i \(0.755256\pi\)
\(104\) −3.83022 3.21394i −0.375584 0.315153i
\(105\) 1.08125 + 0.907278i 0.105519 + 0.0885413i
\(106\) 4.40033 + 7.62159i 0.427398 + 0.740275i
\(107\) −6.00000 + 10.3923i −0.580042 + 1.00466i 0.415432 + 0.909624i \(0.363630\pi\)
−0.995474 + 0.0950377i \(0.969703\pi\)
\(108\) −0.939693 + 0.342020i −0.0904220 + 0.0329109i
\(109\) 1.63816 + 9.29044i 0.156907 + 0.889863i 0.957022 + 0.290016i \(0.0936607\pi\)
−0.800115 + 0.599847i \(0.795228\pi\)
\(110\) −0.960637 + 5.44804i −0.0915932 + 0.519451i
\(111\) −3.29813 1.20042i −0.313045 0.113939i
\(112\) −1.08125 + 0.907278i −0.102169 + 0.0857297i
\(113\) −11.2763 −1.06079 −0.530393 0.847752i \(-0.677956\pi\)
−0.530393 + 0.847752i \(0.677956\pi\)
\(114\) −3.37939 2.75314i −0.316508 0.257855i
\(115\) −8.33275 −0.777033
\(116\) 1.34730 1.13052i 0.125093 0.104966i
\(117\) −4.69846 1.71010i −0.434373 0.158099i
\(118\) 1.18820 6.73859i 0.109382 0.620338i
\(119\) −1.90167 10.7849i −0.174326 0.988653i
\(120\) −0.939693 + 0.342020i −0.0857818 + 0.0312220i
\(121\) −9.80200 + 16.9776i −0.891091 + 1.54342i
\(122\) 4.82295 + 8.35359i 0.436649 + 0.756299i
\(123\) −3.98886 3.34705i −0.359663 0.301793i
\(124\) −4.16250 3.49276i −0.373804 0.313659i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) −0.705737 + 1.22237i −0.0628721 + 0.108898i
\(127\) −10.5890 + 3.85408i −0.939621 + 0.341994i −0.766016 0.642821i \(-0.777764\pi\)
−0.173605 + 0.984815i \(0.555542\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) −0.837496 + 4.74968i −0.0737374 + 0.418186i
\(130\) −4.69846 1.71010i −0.412082 0.149986i
\(131\) −7.81702 + 6.55926i −0.682976 + 0.573085i −0.916874 0.399176i \(-0.869296\pi\)
0.233898 + 0.972261i \(0.424852\pi\)
\(132\) −5.53209 −0.481507
\(133\) −6.15183 + 0.0892091i −0.533431 + 0.00773541i
\(134\) 6.90673 0.596650
\(135\) −0.766044 + 0.642788i −0.0659306 + 0.0553223i
\(136\) 7.29086 + 2.65366i 0.625186 + 0.227549i
\(137\) −3.76651 + 21.3609i −0.321795 + 1.82499i 0.209508 + 0.977807i \(0.432814\pi\)
−0.531303 + 0.847182i \(0.678297\pi\)
\(138\) −1.44697 8.20616i −0.123174 0.698554i
\(139\) −4.01842 + 1.46258i −0.340838 + 0.124055i −0.506767 0.862083i \(-0.669160\pi\)
0.165930 + 0.986138i \(0.446938\pi\)
\(140\) −0.705737 + 1.22237i −0.0596457 + 0.103309i
\(141\) −1.33750 2.31661i −0.112637 0.195094i
\(142\) 1.59627 + 1.33943i 0.133956 + 0.112402i
\(143\) −21.1891 17.7798i −1.77192 1.48682i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 0.879385 1.52314i 0.0730290 0.126490i
\(146\) 0.800660 0.291416i 0.0662631 0.0241178i
\(147\) −0.869585 4.93166i −0.0717222 0.406757i
\(148\) 0.609470 3.45648i 0.0500982 0.284121i
\(149\) 10.7023 + 3.89533i 0.876769 + 0.319118i 0.740905 0.671610i \(-0.234397\pi\)
0.135864 + 0.990727i \(0.456619\pi\)
\(150\) −0.766044 + 0.642788i −0.0625473 + 0.0524834i
\(151\) 12.0155 0.977806 0.488903 0.872338i \(-0.337397\pi\)
0.488903 + 0.872338i \(0.337397\pi\)
\(152\) 2.12449 3.80612i 0.172319 0.308717i
\(153\) 7.75877 0.627259
\(154\) −5.98158 + 5.01914i −0.482010 + 0.404454i
\(155\) −5.10607 1.85846i −0.410129 0.149275i
\(156\) 0.868241 4.92404i 0.0695149 0.394239i
\(157\) 1.23308 + 6.99313i 0.0984104 + 0.558113i 0.993649 + 0.112526i \(0.0358940\pi\)
−0.895238 + 0.445587i \(0.852995\pi\)
\(158\) 9.06418 3.29909i 0.721107 0.262462i
\(159\) −4.40033 + 7.62159i −0.348969 + 0.604432i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −9.00980 7.56012i −0.710072 0.595821i
\(162\) −0.766044 0.642788i −0.0601861 0.0505022i
\(163\) −0.694593 1.20307i −0.0544047 0.0942317i 0.837540 0.546375i \(-0.183993\pi\)
−0.891945 + 0.452144i \(0.850659\pi\)
\(164\) 2.60354 4.50946i 0.203302 0.352130i
\(165\) −5.19846 + 1.89209i −0.404700 + 0.147299i
\(166\) −0.411474 2.33359i −0.0319366 0.181121i
\(167\) 2.88191 16.3441i 0.223009 1.26475i −0.643446 0.765492i \(-0.722496\pi\)
0.866455 0.499255i \(-0.166393\pi\)
\(168\) −1.32635 0.482753i −0.102330 0.0372452i
\(169\) 9.19253 7.71345i 0.707118 0.593342i
\(170\) 7.75877 0.595071
\(171\) 0.694593 4.30320i 0.0531168 0.329074i
\(172\) −4.82295 −0.367746
\(173\) −6.68345 + 5.60808i −0.508133 + 0.426374i −0.860472 0.509498i \(-0.829831\pi\)
0.352339 + 0.935873i \(0.385387\pi\)
\(174\) 1.65270 + 0.601535i 0.125291 + 0.0456022i
\(175\) −0.245100 + 1.39003i −0.0185278 + 0.105076i
\(176\) −0.960637 5.44804i −0.0724107 0.410662i
\(177\) 6.42989 2.34029i 0.483300 0.175907i
\(178\) −7.10994 + 12.3148i −0.532912 + 0.923031i
\(179\) 9.80453 + 16.9819i 0.732825 + 1.26929i 0.955671 + 0.294436i \(0.0951319\pi\)
−0.222846 + 0.974854i \(0.571535\pi\)
\(180\) −0.766044 0.642788i −0.0570976 0.0479106i
\(181\) 5.66044 + 4.74968i 0.420738 + 0.353041i 0.828444 0.560073i \(-0.189227\pi\)
−0.407706 + 0.913113i \(0.633671\pi\)
\(182\) −3.52869 6.11186i −0.261564 0.453041i
\(183\) −4.82295 + 8.35359i −0.356523 + 0.617515i
\(184\) 7.83022 2.84997i 0.577252 0.210102i
\(185\) −0.609470 3.45648i −0.0448092 0.254125i
\(186\) 0.943563 5.35121i 0.0691854 0.392370i
\(187\) 40.3337 + 14.6803i 2.94949 + 1.07353i
\(188\) 2.04916 1.71945i 0.149451 0.125404i
\(189\) −1.41147 −0.102670
\(190\) 0.694593 4.30320i 0.0503911 0.312187i
\(191\) −18.0993 −1.30962 −0.654808 0.755795i \(-0.727251\pi\)
−0.654808 + 0.755795i \(0.727251\pi\)
\(192\) 0.766044 0.642788i 0.0552845 0.0463892i
\(193\) −10.8229 3.93923i −0.779053 0.283552i −0.0782752 0.996932i \(-0.524941\pi\)
−0.700778 + 0.713380i \(0.747164\pi\)
\(194\) −2.51754 + 14.2777i −0.180749 + 1.02508i
\(195\) −0.868241 4.92404i −0.0621760 0.352618i
\(196\) 4.70574 1.71275i 0.336124 0.122339i
\(197\) −11.5103 + 19.9364i −0.820073 + 1.42041i 0.0855550 + 0.996333i \(0.472734\pi\)
−0.905628 + 0.424074i \(0.860600\pi\)
\(198\) −2.76604 4.79093i −0.196574 0.340477i
\(199\) −18.7442 15.7283i −1.32874 1.11495i −0.984370 0.176115i \(-0.943647\pi\)
−0.344373 0.938833i \(-0.611908\pi\)
\(200\) −0.766044 0.642788i −0.0541675 0.0454519i
\(201\) 3.45336 + 5.98140i 0.243581 + 0.421895i
\(202\) −8.94356 + 15.4907i −0.629267 + 1.08992i
\(203\) 2.33275 0.849051i 0.163727 0.0595917i
\(204\) 1.34730 + 7.64090i 0.0943296 + 0.534970i
\(205\) 0.904200 5.12797i 0.0631521 0.358153i
\(206\) −4.63176 1.68582i −0.322710 0.117457i
\(207\) 6.38326 5.35619i 0.443667 0.372281i
\(208\) 5.00000 0.346688
\(209\) 11.7528 21.0558i 0.812961 1.45646i
\(210\) −1.41147 −0.0974010
\(211\) 6.31386 5.29796i 0.434664 0.364727i −0.399044 0.916932i \(-0.630658\pi\)
0.833708 + 0.552205i \(0.186213\pi\)
\(212\) −8.26991 3.01000i −0.567980 0.206728i
\(213\) −0.361844 + 2.05212i −0.0247932 + 0.140609i
\(214\) −2.08378 11.8177i −0.142444 0.807841i
\(215\) −4.53209 + 1.64955i −0.309086 + 0.112498i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) −3.83481 6.64208i −0.260324 0.450894i
\(218\) −7.22668 6.06391i −0.489453 0.410700i
\(219\) 0.652704 + 0.547683i 0.0441056 + 0.0370090i
\(220\) −2.76604 4.79093i −0.186487 0.323004i
\(221\) −19.3969 + 33.5965i −1.30478 + 2.25994i
\(222\) 3.29813 1.20042i 0.221356 0.0805671i
\(223\) 2.85457 + 16.1891i 0.191156 + 1.08410i 0.917787 + 0.397073i \(0.129974\pi\)
−0.726631 + 0.687028i \(0.758915\pi\)
\(224\) 0.245100 1.39003i 0.0163764 0.0928753i
\(225\) −0.939693 0.342020i −0.0626462 0.0228013i
\(226\) 8.63816 7.24827i 0.574602 0.482148i
\(227\) 19.3209 1.28237 0.641186 0.767385i \(-0.278443\pi\)
0.641186 + 0.767385i \(0.278443\pi\)
\(228\) 4.35844 0.0632028i 0.288645 0.00418571i
\(229\) 13.2763 0.877323 0.438662 0.898652i \(-0.355453\pi\)
0.438662 + 0.898652i \(0.355453\pi\)
\(230\) 6.38326 5.35619i 0.420899 0.353177i
\(231\) −7.33750 2.67063i −0.482772 0.175715i
\(232\) −0.305407 + 1.73205i −0.0200510 + 0.113715i
\(233\) 1.14796 + 6.51038i 0.0752051 + 0.426509i 0.999044 + 0.0437266i \(0.0139231\pi\)
−0.923838 + 0.382783i \(0.874966\pi\)
\(234\) 4.69846 1.71010i 0.307148 0.111793i
\(235\) 1.33750 2.31661i 0.0872486 0.151119i
\(236\) 3.42127 + 5.92582i 0.222706 + 0.385738i
\(237\) 7.38919 + 6.20026i 0.479979 + 0.402750i
\(238\) 8.38919 + 7.03936i 0.543790 + 0.456294i
\(239\) −2.20708 3.82278i −0.142764 0.247275i 0.785772 0.618516i \(-0.212266\pi\)
−0.928537 + 0.371241i \(0.878932\pi\)
\(240\) 0.500000 0.866025i 0.0322749 0.0559017i
\(241\) −11.8833 + 4.32515i −0.765468 + 0.278607i −0.695099 0.718914i \(-0.744640\pi\)
−0.0703683 + 0.997521i \(0.522417\pi\)
\(242\) −3.40420 19.3062i −0.218830 1.24105i
\(243\) 0.173648 0.984808i 0.0111395 0.0631754i
\(244\) −9.06418 3.29909i −0.580275 0.211203i
\(245\) 3.83615 3.21891i 0.245083 0.205649i
\(246\) 5.20708 0.331991
\(247\) 16.8969 + 13.7657i 1.07513 + 0.875889i
\(248\) 5.43376 0.345044
\(249\) 1.81521 1.52314i 0.115034 0.0965251i
\(250\) −0.939693 0.342020i −0.0594314 0.0216313i
\(251\) 2.51589 14.2683i 0.158802 0.900609i −0.796426 0.604736i \(-0.793278\pi\)
0.955227 0.295873i \(-0.0956104\pi\)
\(252\) −0.245100 1.39003i −0.0154398 0.0875637i
\(253\) 43.3175 15.7663i 2.72335 0.991217i
\(254\) 5.63429 9.75887i 0.353527 0.612326i
\(255\) 3.87939 + 6.71929i 0.242937 + 0.420778i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 20.1138 + 16.8775i 1.25466 + 1.05279i 0.996229 + 0.0867603i \(0.0276514\pi\)
0.258436 + 0.966028i \(0.416793\pi\)
\(258\) −2.41147 4.17680i −0.150132 0.260036i
\(259\) 2.47700 4.29028i 0.153913 0.266585i
\(260\) 4.69846 1.71010i 0.291386 0.106056i
\(261\) 0.305407 + 1.73205i 0.0189042 + 0.107211i
\(262\) 1.77197 10.0494i 0.109473 0.620852i
\(263\) 18.6322 + 6.78158i 1.14891 + 0.418170i 0.845124 0.534570i \(-0.179526\pi\)
0.303788 + 0.952740i \(0.401749\pi\)
\(264\) 4.23783 3.55596i 0.260820 0.218854i
\(265\) −8.80066 −0.540620
\(266\) 4.65523 4.02266i 0.285430 0.246645i
\(267\) −14.2199 −0.870242
\(268\) −5.29086 + 4.43956i −0.323191 + 0.271189i
\(269\) −24.6732 8.98032i −1.50435 0.547540i −0.547170 0.837021i \(-0.684295\pi\)
−0.957184 + 0.289481i \(0.906517\pi\)
\(270\) 0.173648 0.984808i 0.0105679 0.0599335i
\(271\) 1.75103 + 9.93058i 0.106367 + 0.603240i 0.990665 + 0.136317i \(0.0435265\pi\)
−0.884298 + 0.466923i \(0.845362\pi\)
\(272\) −7.29086 + 2.65366i −0.442073 + 0.160902i
\(273\) 3.52869 6.11186i 0.213566 0.369907i
\(274\) −10.8452 18.7845i −0.655185 1.13481i
\(275\) −4.23783 3.55596i −0.255551 0.214432i
\(276\) 6.38326 + 5.35619i 0.384227 + 0.322405i
\(277\) −9.01754 15.6188i −0.541812 0.938445i −0.998800 0.0489725i \(-0.984405\pi\)
0.456989 0.889473i \(-0.348928\pi\)
\(278\) 2.13816 3.70339i 0.128238 0.222115i
\(279\) 5.10607 1.85846i 0.305692 0.111263i
\(280\) −0.245100 1.39003i −0.0146475 0.0830702i
\(281\) −2.13903 + 12.1311i −0.127604 + 0.723678i 0.852123 + 0.523341i \(0.175315\pi\)
−0.979727 + 0.200337i \(0.935796\pi\)
\(282\) 2.51367 + 0.914901i 0.149687 + 0.0544816i
\(283\) 0.652704 0.547683i 0.0387992 0.0325564i −0.623182 0.782077i \(-0.714160\pi\)
0.661981 + 0.749521i \(0.269716\pi\)
\(284\) −2.08378 −0.123649
\(285\) 4.07398 1.55007i 0.241322 0.0918180i
\(286\) 27.6604 1.63560
\(287\) 5.63017 4.72427i 0.332338 0.278865i
\(288\) 0.939693 + 0.342020i 0.0553719 + 0.0201537i
\(289\) 7.50134 42.5422i 0.441256 2.50248i
\(290\) 0.305407 + 1.73205i 0.0179341 + 0.101710i
\(291\) −13.6236 + 4.95859i −0.798630 + 0.290678i
\(292\) −0.426022 + 0.737892i −0.0249311 + 0.0431819i
\(293\) 3.13950 + 5.43777i 0.183412 + 0.317678i 0.943040 0.332679i \(-0.107953\pi\)
−0.759629 + 0.650357i \(0.774619\pi\)
\(294\) 3.83615 + 3.21891i 0.223729 + 0.187731i
\(295\) 5.24170 + 4.39831i 0.305183 + 0.256079i
\(296\) 1.75490 + 3.03958i 0.102001 + 0.176672i
\(297\) 2.76604 4.79093i 0.160502 0.277998i
\(298\) −10.7023 + 3.89533i −0.619970 + 0.225650i
\(299\) 7.23483 + 41.0308i 0.418401 + 2.37287i
\(300\) 0.173648 0.984808i 0.0100256 0.0568579i
\(301\) −6.39693 2.32829i −0.368713 0.134200i
\(302\) −9.20439 + 7.72340i −0.529653 + 0.444432i
\(303\) −17.8871 −1.02759
\(304\) 0.819078 + 4.28125i 0.0469773 + 0.245547i
\(305\) −9.64590 −0.552322
\(306\) −5.94356 + 4.98724i −0.339771 + 0.285102i
\(307\) −22.0624 8.03007i −1.25917 0.458300i −0.375679 0.926750i \(-0.622590\pi\)
−0.883490 + 0.468450i \(0.844813\pi\)
\(308\) 1.35591 7.68977i 0.0772604 0.438165i
\(309\) −0.855914 4.85413i −0.0486913 0.276142i
\(310\) 5.10607 1.85846i 0.290005 0.105553i
\(311\) 6.10607 10.5760i 0.346243 0.599711i −0.639336 0.768928i \(-0.720791\pi\)
0.985579 + 0.169217i \(0.0541238\pi\)
\(312\) 2.50000 + 4.33013i 0.141535 + 0.245145i
\(313\) 21.8949 + 18.3720i 1.23757 + 1.03845i 0.997710 + 0.0676382i \(0.0215464\pi\)
0.239861 + 0.970807i \(0.422898\pi\)
\(314\) −5.43969 4.56444i −0.306980 0.257586i
\(315\) −0.705737 1.22237i −0.0397638 0.0688729i
\(316\) −4.82295 + 8.35359i −0.271312 + 0.469926i
\(317\) 7.05051 2.56617i 0.395996 0.144131i −0.136344 0.990662i \(-0.543535\pi\)
0.532340 + 0.846531i \(0.321313\pi\)
\(318\) −1.52822 8.66696i −0.0856982 0.486019i
\(319\) −1.68954 + 9.58186i −0.0945961 + 0.536481i
\(320\) 0.939693 + 0.342020i 0.0525304 + 0.0191195i
\(321\) 9.19253 7.71345i 0.513077 0.430523i
\(322\) 11.7615 0.655440
\(323\) −31.9445 11.1050i −1.77744 0.617899i
\(324\) 1.00000 0.0555556
\(325\) 3.83022 3.21394i 0.212463 0.178277i
\(326\) 1.30541 + 0.475129i 0.0722998 + 0.0263150i
\(327\) 1.63816 9.29044i 0.0905902 0.513763i
\(328\) 0.904200 + 5.12797i 0.0499261 + 0.283145i
\(329\) 3.54798 1.29136i 0.195607 0.0711950i
\(330\) 2.76604 4.79093i 0.152266 0.263732i
\(331\) 4.33615 + 7.51044i 0.238336 + 0.412811i 0.960237 0.279186i \(-0.0900646\pi\)
−0.721901 + 0.691997i \(0.756731\pi\)
\(332\) 1.81521 + 1.52314i 0.0996225 + 0.0835932i
\(333\) 2.68866 + 2.25606i 0.147338 + 0.123631i
\(334\) 8.29813 + 14.3728i 0.454054 + 0.786444i
\(335\) −3.45336 + 5.98140i −0.188677 + 0.326799i
\(336\) 1.32635 0.482753i 0.0723584 0.0263363i
\(337\) −2.60307 14.7628i −0.141798 0.804179i −0.969882 0.243575i \(-0.921680\pi\)
0.828084 0.560604i \(-0.189431\pi\)
\(338\) −2.08378 + 11.8177i −0.113343 + 0.642798i
\(339\) 10.5963 + 3.85673i 0.575510 + 0.209469i
\(340\) −5.94356 + 4.98724i −0.322335 + 0.270471i
\(341\) 30.0601 1.62784
\(342\) 2.23396 + 3.74292i 0.120798 + 0.202394i
\(343\) 16.9486 0.915139
\(344\) 3.69459 3.10013i 0.199199 0.167148i
\(345\) 7.83022 + 2.84997i 0.421565 + 0.153437i
\(346\) 1.51501 8.59208i 0.0814477 0.461913i
\(347\) −5.18984 29.4331i −0.278605 1.58005i −0.727271 0.686350i \(-0.759212\pi\)
0.448666 0.893700i \(-0.351899\pi\)
\(348\) −1.65270 + 0.601535i −0.0885942 + 0.0322457i
\(349\) −3.53209 + 6.11776i −0.189068 + 0.327476i −0.944940 0.327244i \(-0.893880\pi\)
0.755872 + 0.654720i \(0.227213\pi\)
\(350\) −0.705737 1.22237i −0.0377232 0.0653386i
\(351\) 3.83022 + 3.21394i 0.204442 + 0.171547i
\(352\) 4.23783 + 3.55596i 0.225877 + 0.189533i
\(353\) −7.43376 12.8757i −0.395659 0.685302i 0.597526 0.801850i \(-0.296151\pi\)
−0.993185 + 0.116548i \(0.962817\pi\)
\(354\) −3.42127 + 5.92582i −0.181839 + 0.314954i
\(355\) −1.95811 + 0.712694i −0.103926 + 0.0378259i
\(356\) −2.46926 14.0038i −0.130870 0.742202i
\(357\) −1.90167 + 10.7849i −0.100647 + 0.570799i
\(358\) −18.4265 6.70669i −0.973870 0.354460i
\(359\) −7.26083 + 6.09256i −0.383212 + 0.321553i −0.813962 0.580918i \(-0.802694\pi\)
0.430750 + 0.902471i \(0.358249\pi\)
\(360\) 1.00000 0.0527046
\(361\) −9.01889 + 16.7230i −0.474678 + 0.880159i
\(362\) −7.38919 −0.388367
\(363\) 15.0175 12.6012i 0.788216 0.661392i
\(364\) 6.63176 + 2.41376i 0.347599 + 0.126516i
\(365\) −0.147956 + 0.839100i −0.00774437 + 0.0439205i
\(366\) −1.67499 9.49935i −0.0875533 0.496539i
\(367\) −2.87046 + 1.04476i −0.149837 + 0.0545362i −0.415850 0.909433i \(-0.636516\pi\)
0.266013 + 0.963969i \(0.414294\pi\)
\(368\) −4.16637 + 7.21637i −0.217187 + 0.376179i
\(369\) 2.60354 + 4.50946i 0.135535 + 0.234753i
\(370\) 2.68866 + 2.25606i 0.139777 + 0.117287i
\(371\) −9.51573 7.98465i −0.494032 0.414542i
\(372\) 2.71688 + 4.70578i 0.140864 + 0.243983i
\(373\) −5.66890 + 9.81882i −0.293525 + 0.508399i −0.974641 0.223776i \(-0.928162\pi\)
0.681116 + 0.732175i \(0.261495\pi\)
\(374\) −40.3337 + 14.6803i −2.08561 + 0.759098i
\(375\) −0.173648 0.984808i −0.00896715 0.0508553i
\(376\) −0.464508 + 2.63435i −0.0239551 + 0.135856i
\(377\) −8.26352 3.00767i −0.425593 0.154903i
\(378\) 1.08125 0.907278i 0.0556136 0.0466653i
\(379\) 14.4439 0.741932 0.370966 0.928647i \(-0.379027\pi\)
0.370966 + 0.928647i \(0.379027\pi\)
\(380\) 2.23396 + 3.74292i 0.114600 + 0.192008i
\(381\) 11.2686 0.577306
\(382\) 13.8648 11.6340i 0.709387 0.595246i
\(383\) −12.0312 4.37900i −0.614766 0.223757i 0.0158212 0.999875i \(-0.494964\pi\)
−0.630587 + 0.776118i \(0.717186\pi\)
\(384\) −0.173648 + 0.984808i −0.00886145 + 0.0502558i
\(385\) −1.35591 7.68977i −0.0691038 0.391907i
\(386\) 10.8229 3.93923i 0.550874 0.200502i
\(387\) 2.41147 4.17680i 0.122582 0.212318i
\(388\) −7.24897 12.5556i −0.368011 0.637413i
\(389\) 2.44562 + 2.05212i 0.123998 + 0.104047i 0.702678 0.711508i \(-0.251987\pi\)
−0.578680 + 0.815555i \(0.696432\pi\)
\(390\) 3.83022 + 3.21394i 0.193951 + 0.162744i
\(391\) −32.3259 55.9902i −1.63479 2.83154i
\(392\) −2.50387 + 4.33683i −0.126465 + 0.219043i
\(393\) 9.58899 3.49011i 0.483701 0.176053i
\(394\) −3.99747 22.6708i −0.201390 1.14214i
\(395\) −1.67499 + 9.49935i −0.0842780 + 0.477964i
\(396\) 5.19846 + 1.89209i 0.261233 + 0.0950809i
\(397\) 1.17365 0.984808i 0.0589037 0.0494261i −0.612861 0.790191i \(-0.709981\pi\)
0.671764 + 0.740765i \(0.265537\pi\)
\(398\) 24.4688 1.22651
\(399\) 5.81134 + 2.02022i 0.290931 + 0.101137i
\(400\) 1.00000 0.0500000
\(401\) 8.39961 7.04811i 0.419457 0.351966i −0.408500 0.912758i \(-0.633948\pi\)
0.827956 + 0.560792i \(0.189503\pi\)
\(402\) −6.49020 2.36224i −0.323702 0.117818i
\(403\) −4.71782 + 26.7561i −0.235011 + 1.33281i
\(404\) −3.10607 17.6154i −0.154533 0.876398i
\(405\) 0.939693 0.342020i 0.0466937 0.0169951i
\(406\) −1.24123 + 2.14987i −0.0616012 + 0.106696i
\(407\) 9.70826 + 16.8152i 0.481221 + 0.833499i
\(408\) −5.94356 4.98724i −0.294250 0.246905i
\(409\) −19.7153 16.5431i −0.974858 0.818003i 0.00844744 0.999964i \(-0.497311\pi\)
−0.983306 + 0.181961i \(0.941756\pi\)
\(410\) 2.60354 + 4.50946i 0.128580 + 0.222707i
\(411\) 10.8452 18.7845i 0.534956 0.926571i
\(412\) 4.63176 1.68582i 0.228190 0.0830545i
\(413\) 1.67711 + 9.51135i 0.0825251 + 0.468023i
\(414\) −1.44697 + 8.20616i −0.0711145 + 0.403311i
\(415\) 2.22668 + 0.810446i 0.109304 + 0.0397832i
\(416\) −3.83022 + 3.21394i −0.187792 + 0.157576i
\(417\) 4.27631 0.209412
\(418\) 4.53121 + 23.6843i 0.221629 + 1.15844i
\(419\) −11.7811 −0.575542 −0.287771 0.957699i \(-0.592914\pi\)
−0.287771 + 0.957699i \(0.592914\pi\)
\(420\) 1.08125 0.907278i 0.0527597 0.0442706i
\(421\) −4.10607 1.49449i −0.200117 0.0728368i 0.240017 0.970769i \(-0.422847\pi\)
−0.440134 + 0.897932i \(0.645069\pi\)
\(422\) −1.43124 + 8.11695i −0.0696715 + 0.395127i
\(423\) 0.464508 + 2.63435i 0.0225851 + 0.128087i
\(424\) 8.26991 3.01000i 0.401623 0.146179i
\(425\) −3.87939 + 6.71929i −0.188178 + 0.325934i
\(426\) −1.04189 1.80460i −0.0504797 0.0874334i
\(427\) −10.4296 8.75151i −0.504726 0.423515i
\(428\) 9.19253 + 7.71345i 0.444338 + 0.372844i
\(429\) 13.8302 + 23.9546i 0.667729 + 1.15654i
\(430\) 2.41147 4.17680i 0.116292 0.201423i
\(431\) −4.02229 + 1.46399i −0.193747 + 0.0705181i −0.437071 0.899427i \(-0.643984\pi\)
0.243324 + 0.969945i \(0.421762\pi\)
\(432\) 0.173648 + 0.984808i 0.00835465 + 0.0473816i
\(433\) −5.50980 + 31.2476i −0.264784 + 1.50167i 0.504865 + 0.863198i \(0.331542\pi\)
−0.769649 + 0.638467i \(0.779569\pi\)
\(434\) 7.20708 + 2.62316i 0.345951 + 0.125916i
\(435\) −1.34730 + 1.13052i −0.0645979 + 0.0542041i
\(436\) 9.43376 0.451795
\(437\) −33.9474 + 12.9163i −1.62393 + 0.617871i
\(438\) −0.852044 −0.0407122
\(439\) 12.9513 10.8674i 0.618132 0.518674i −0.279084 0.960267i \(-0.590031\pi\)
0.897216 + 0.441592i \(0.145586\pi\)
\(440\) 5.19846 + 1.89209i 0.247827 + 0.0902017i
\(441\) −0.869585 + 4.93166i −0.0414088 + 0.234841i
\(442\) −6.73648 38.2045i −0.320422 1.81720i
\(443\) −12.3182 + 4.48346i −0.585255 + 0.213016i −0.617641 0.786460i \(-0.711912\pi\)
0.0323860 + 0.999475i \(0.489689\pi\)
\(444\) −1.75490 + 3.03958i −0.0832839 + 0.144252i
\(445\) −7.10994 12.3148i −0.337043 0.583776i
\(446\) −12.5929 10.5667i −0.596289 0.500346i
\(447\) −8.72462 7.32083i −0.412660 0.346263i
\(448\) 0.705737 + 1.22237i 0.0333429 + 0.0577517i
\(449\) −4.36231 + 7.55574i −0.205870 + 0.356578i −0.950410 0.311001i \(-0.899336\pi\)
0.744539 + 0.667578i \(0.232669\pi\)
\(450\) 0.939693 0.342020i 0.0442975 0.0161230i
\(451\) 5.00212 + 28.3684i 0.235540 + 1.33582i
\(452\) −1.95811 + 11.1050i −0.0921018 + 0.522335i
\(453\) −11.2909 4.10954i −0.530491 0.193083i
\(454\) −14.8007 + 12.4192i −0.694629 + 0.582863i
\(455\) 7.05737 0.330855
\(456\) −3.29813 + 2.84997i −0.154449 + 0.133462i
\(457\) 9.54664 0.446573 0.223286 0.974753i \(-0.428321\pi\)
0.223286 + 0.974753i \(0.428321\pi\)
\(458\) −10.1702 + 8.53385i −0.475224 + 0.398761i
\(459\) −7.29086 2.65366i −0.340308 0.123862i
\(460\) −1.44697 + 8.20616i −0.0674652 + 0.382614i
\(461\) 1.36453 + 7.73865i 0.0635526 + 0.360425i 0.999955 + 0.00949640i \(0.00302284\pi\)
−0.936402 + 0.350928i \(0.885866\pi\)
\(462\) 7.33750 2.67063i 0.341371 0.124249i
\(463\) 2.55896 4.43225i 0.118925 0.205984i −0.800417 0.599444i \(-0.795388\pi\)
0.919342 + 0.393459i \(0.128722\pi\)
\(464\) −0.879385 1.52314i −0.0408244 0.0707100i
\(465\) 4.16250 + 3.49276i 0.193031 + 0.161973i
\(466\) −5.06418 4.24935i −0.234594 0.196847i
\(467\) 6.35504 + 11.0072i 0.294076 + 0.509355i 0.974770 0.223214i \(-0.0716548\pi\)
−0.680693 + 0.732568i \(0.738321\pi\)
\(468\) −2.50000 + 4.33013i −0.115563 + 0.200160i
\(469\) −9.16075 + 3.33424i −0.423004 + 0.153961i
\(470\) 0.464508 + 2.63435i 0.0214261 + 0.121514i
\(471\) 1.23308 6.99313i 0.0568172 0.322227i
\(472\) −6.42989 2.34029i −0.295960 0.107721i
\(473\) 20.4388 17.1502i 0.939778 0.788567i
\(474\) −9.64590 −0.443051
\(475\) 3.37939 + 2.75314i 0.155057 + 0.126323i
\(476\) −10.9513 −0.501952
\(477\) 6.74170 5.65695i 0.308681 0.259014i
\(478\) 4.14796 + 1.50973i 0.189723 + 0.0690536i
\(479\) 2.26352 12.8370i 0.103423 0.586540i −0.888416 0.459040i \(-0.848194\pi\)
0.991839 0.127500i \(-0.0406953\pi\)
\(480\) 0.173648 + 0.984808i 0.00792592 + 0.0449501i
\(481\) −16.4907 + 6.00211i −0.751910 + 0.273673i
\(482\) 6.32295 10.9517i 0.288002 0.498835i
\(483\) 5.88073 + 10.1857i 0.267582 + 0.463466i
\(484\) 15.0175 + 12.6012i 0.682615 + 0.572782i
\(485\) −11.1061 9.31910i −0.504301 0.423158i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −2.59967 + 4.50276i −0.117802 + 0.204040i −0.918896 0.394499i \(-0.870918\pi\)
0.801094 + 0.598538i \(0.204252\pi\)
\(488\) 9.06418 3.29909i 0.410316 0.149343i
\(489\) 0.241230 + 1.36808i 0.0109088 + 0.0618667i
\(490\) −0.869585 + 4.93166i −0.0392838 + 0.222790i
\(491\) −6.07145 2.20983i −0.274001 0.0997281i 0.201365 0.979516i \(-0.435462\pi\)
−0.475366 + 0.879788i \(0.657684\pi\)
\(492\) −3.98886 + 3.34705i −0.179832 + 0.150897i
\(493\) 13.6459 0.614580
\(494\) −21.7922 + 0.316014i −0.980478 + 0.0142181i
\(495\) 5.53209 0.248649
\(496\) −4.16250 + 3.49276i −0.186902 + 0.156829i
\(497\) −2.76382 1.00595i −0.123974 0.0451230i
\(498\) −0.411474 + 2.33359i −0.0184386 + 0.104570i
\(499\) −4.96105 28.1355i −0.222087 1.25952i −0.868176 0.496256i \(-0.834708\pi\)
0.646089 0.763262i \(-0.276403\pi\)
\(500\) 0.939693 0.342020i 0.0420243 0.0152956i
\(501\) −8.29813 + 14.3728i −0.370733 + 0.642129i
\(502\) 7.24422 + 12.5474i 0.323325 + 0.560016i
\(503\) 9.40807 + 7.89431i 0.419485 + 0.351990i 0.827967 0.560777i \(-0.189497\pi\)
−0.408482 + 0.912766i \(0.633942\pi\)
\(504\) 1.08125 + 0.907278i 0.0481628 + 0.0404134i
\(505\) −8.94356 15.4907i −0.397983 0.689327i
\(506\) −23.0488 + 39.9216i −1.02464 + 1.77473i
\(507\) −11.2763 + 4.10424i −0.500799 + 0.182276i
\(508\) 1.95677 + 11.0974i 0.0868175 + 0.492366i
\(509\) 5.26588 29.8643i 0.233406 1.32371i −0.612538 0.790441i \(-0.709851\pi\)
0.845944 0.533271i \(-0.179037\pi\)
\(510\) −7.29086 2.65366i −0.322845 0.117506i
\(511\) −0.921274 + 0.773041i −0.0407548 + 0.0341973i
\(512\) −1.00000 −0.0441942
\(513\) −2.12449 + 3.80612i −0.0937983 + 0.168044i
\(514\) −26.2567 −1.15813
\(515\) 3.77584 3.16831i 0.166384 0.139612i
\(516\) 4.53209 + 1.64955i 0.199514 + 0.0726172i
\(517\) −2.56970 + 14.5735i −0.113015 + 0.640941i
\(518\) 0.860252 + 4.87873i 0.0377973 + 0.214359i
\(519\) 8.19846 2.98400i 0.359873 0.130983i
\(520\) −2.50000 + 4.33013i −0.109632 + 0.189889i
\(521\) −16.1480 27.9691i −0.707455 1.22535i −0.965798 0.259295i \(-0.916510\pi\)
0.258344 0.966053i \(-0.416823\pi\)
\(522\) −1.34730 1.13052i −0.0589696 0.0494813i
\(523\) 20.6236 + 17.3053i 0.901807 + 0.756706i 0.970543 0.240929i \(-0.0774520\pi\)
−0.0687354 + 0.997635i \(0.521896\pi\)
\(524\) 5.10220 + 8.83726i 0.222890 + 0.386058i
\(525\) 0.705737 1.22237i 0.0308009 0.0533487i
\(526\) −18.6322 + 6.78158i −0.812404 + 0.295691i
\(527\) −7.32089 41.5188i −0.318903 1.80859i
\(528\) −0.960637 + 5.44804i −0.0418064 + 0.237096i
\(529\) −43.6343 15.8816i −1.89715 0.690504i
\(530\) 6.74170 5.65695i 0.292841 0.245722i
\(531\) −6.84255 −0.296941
\(532\) −0.980400 + 6.07386i −0.0425057 + 0.263335i
\(533\) −26.0354 −1.12772
\(534\) 10.8931 9.14036i 0.471389 0.395542i
\(535\) 11.2763 + 4.10424i 0.487517 + 0.177442i
\(536\) 1.19934 6.80180i 0.0518036 0.293793i
\(537\) −3.40508 19.3112i −0.146940 0.833338i
\(538\) 24.6732 8.98032i 1.06374 0.387169i
\(539\) −13.8516 + 23.9917i −0.596632 + 1.03340i
\(540\) 0.500000 + 0.866025i 0.0215166 + 0.0372678i
\(541\) 11.9855 + 10.0570i 0.515295 + 0.432384i 0.862988 0.505225i \(-0.168590\pi\)
−0.347693 + 0.937608i \(0.613035\pi\)
\(542\) −7.72462 6.48173i −0.331801 0.278414i
\(543\) −3.69459 6.39922i −0.158550 0.274617i
\(544\) 3.87939 6.71929i 0.166327 0.288087i
\(545\) 8.86484 3.22654i 0.379728 0.138210i
\(546\) 1.22550 + 6.95015i 0.0524465 + 0.297439i
\(547\) −6.21987 + 35.2747i −0.265943 + 1.50824i 0.500395 + 0.865797i \(0.333188\pi\)
−0.766337 + 0.642438i \(0.777923\pi\)
\(548\) 20.3824 + 7.41858i 0.870692 + 0.316906i
\(549\) 7.38919 6.20026i 0.315363 0.264621i
\(550\) 5.53209 0.235889
\(551\) 1.22163 7.56834i 0.0520432 0.322422i
\(552\) −8.33275 −0.354665
\(553\) −10.4296 + 8.75151i −0.443514 + 0.372152i
\(554\) 16.9474 + 6.16836i 0.720027 + 0.262069i
\(555\) −0.609470 + 3.45648i −0.0258706 + 0.146719i
\(556\) 0.742574 + 4.21134i 0.0314921 + 0.178601i
\(557\) −31.5590 + 11.4865i −1.33720 + 0.486700i −0.908929 0.416951i \(-0.863099\pi\)
−0.428269 + 0.903651i \(0.640877\pi\)
\(558\) −2.71688 + 4.70578i −0.115015 + 0.199211i
\(559\) 12.0574 + 20.8840i 0.509972 + 0.883298i
\(560\) 1.08125 + 0.907278i 0.0456912 + 0.0383395i
\(561\) −32.8803 27.5899i −1.38821 1.16484i
\(562\) −6.15910 10.6679i −0.259806 0.449997i
\(563\) 9.37464 16.2373i 0.395094 0.684323i −0.598019 0.801482i \(-0.704045\pi\)
0.993113 + 0.117159i \(0.0373787\pi\)
\(564\) −2.51367 + 0.914901i −0.105845 + 0.0385243i
\(565\) 1.95811 + 11.1050i 0.0823783 + 0.467191i
\(566\) −0.147956 + 0.839100i −0.00621905 + 0.0352700i
\(567\) 1.32635 + 0.482753i 0.0557015 + 0.0202737i
\(568\) 1.59627 1.33943i 0.0669779 0.0562011i
\(569\) 16.2736 0.682226 0.341113 0.940022i \(-0.389196\pi\)
0.341113 + 0.940022i \(0.389196\pi\)
\(570\) −2.12449 + 3.80612i −0.0889849 + 0.159421i
\(571\) −15.5681 −0.651505 −0.325752 0.945455i \(-0.605618\pi\)
−0.325752 + 0.945455i \(0.605618\pi\)
\(572\) −21.1891 + 17.7798i −0.885962 + 0.743410i
\(573\) 17.0077 + 6.19031i 0.710509 + 0.258604i
\(574\) −1.27626 + 7.23800i −0.0532699 + 0.302108i
\(575\) 1.44697 + 8.20616i 0.0603427 + 0.342220i
\(576\) −0.939693 + 0.342020i −0.0391539 + 0.0142508i
\(577\) −1.00000 + 1.73205i −0.0416305 + 0.0721062i −0.886090 0.463513i \(-0.846589\pi\)
0.844459 + 0.535620i \(0.179922\pi\)
\(578\) 21.5993 + 37.4110i 0.898411 + 1.55609i
\(579\) 8.82295 + 7.40333i 0.366669 + 0.307672i
\(580\) −1.34730 1.13052i −0.0559434 0.0469421i
\(581\) 1.67230 + 2.89652i 0.0693789 + 0.120168i
\(582\) 7.24897 12.5556i 0.300479 0.520446i
\(583\) 45.7499 16.6516i 1.89477 0.689639i
\(584\) −0.147956 0.839100i −0.00612246 0.0347222i
\(585\) −0.868241 + 4.92404i −0.0358973 + 0.203584i
\(586\) −5.90033 2.14754i −0.243740 0.0887142i
\(587\) −25.1976 + 21.1433i −1.04002 + 0.872677i −0.992009 0.126170i \(-0.959731\pi\)
−0.0480071 + 0.998847i \(0.515287\pi\)
\(588\) −5.00774 −0.206516
\(589\) −23.6827 + 0.343429i −0.975830 + 0.0141507i
\(590\) −6.84255 −0.281703
\(591\) 17.6348 14.7973i 0.725397 0.608680i
\(592\) −3.29813 1.20042i −0.135552 0.0493371i
\(593\) −3.71688 + 21.0795i −0.152634 + 0.865631i 0.808283 + 0.588794i \(0.200397\pi\)
−0.960917 + 0.276836i \(0.910714\pi\)
\(594\) 0.960637 + 5.44804i 0.0394154 + 0.223536i
\(595\) −10.2909 + 3.74557i −0.421884 + 0.153553i
\(596\) 5.69459 9.86332i 0.233260 0.404017i
\(597\) 12.2344 + 21.1906i 0.500722 + 0.867275i
\(598\) −31.9163 26.7809i −1.30515 1.09515i
\(599\) 24.2422 + 20.3416i 0.990508 + 0.831135i 0.985641 0.168853i \(-0.0540064\pi\)
0.00486674 + 0.999988i \(0.498451\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) −7.12108 + 12.3341i −0.290475 + 0.503117i −0.973922 0.226883i \(-0.927147\pi\)
0.683447 + 0.730000i \(0.260480\pi\)
\(602\) 6.39693 2.32829i 0.260719 0.0948940i
\(603\) −1.19934 6.80180i −0.0488409 0.276991i
\(604\) 2.08647 11.8329i 0.0848971 0.481475i
\(605\) 18.4217 + 6.70497i 0.748950 + 0.272596i
\(606\) 13.7023 11.4976i 0.556619 0.467059i
\(607\) −6.15064 −0.249647 −0.124823 0.992179i \(-0.539836\pi\)
−0.124823 + 0.992179i \(0.539836\pi\)
\(608\) −3.37939 2.75314i −0.137052 0.111654i
\(609\) −2.48246 −0.100594
\(610\) 7.38919 6.20026i 0.299179 0.251041i
\(611\) −12.5684 4.57451i −0.508461 0.185065i
\(612\) 1.34730 7.64090i 0.0544612 0.308865i
\(613\) 1.12819 + 6.39830i 0.0455673 + 0.258425i 0.999078 0.0429345i \(-0.0136707\pi\)
−0.953511 + 0.301360i \(0.902560\pi\)
\(614\) 22.0624 8.03007i 0.890367 0.324067i
\(615\) −2.60354 + 4.50946i −0.104985 + 0.181839i
\(616\) 3.90420 + 6.76227i 0.157305 + 0.272460i
\(617\) 21.5371 + 18.0718i 0.867053 + 0.727544i 0.963475 0.267797i \(-0.0862956\pi\)
−0.0964227 + 0.995340i \(0.530740\pi\)
\(618\) 3.77584 + 3.16831i 0.151887 + 0.127448i
\(619\) 16.1841 + 28.0316i 0.650493 + 1.12669i 0.983003 + 0.183587i \(0.0587710\pi\)
−0.332510 + 0.943100i \(0.607896\pi\)
\(620\) −2.71688 + 4.70578i −0.109113 + 0.188989i
\(621\) −7.83022 + 2.84997i −0.314216 + 0.114365i
\(622\) 2.12061 + 12.0266i 0.0850289 + 0.482223i
\(623\) 3.48529 19.7661i 0.139635 0.791911i
\(624\) −4.69846 1.71010i −0.188089 0.0684588i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) −28.5817 −1.14236
\(627\) −18.2456 + 15.7663i −0.728658 + 0.629644i
\(628\) 7.10101 0.283361
\(629\) 20.8607 17.5042i 0.831771 0.697939i
\(630\) 1.32635 + 0.482753i 0.0528431 + 0.0192333i
\(631\) 0.290859 1.64955i 0.0115789 0.0656674i −0.978471 0.206385i \(-0.933830\pi\)
0.990050 + 0.140718i \(0.0449411\pi\)
\(632\) −1.67499 9.49935i −0.0666276 0.377864i
\(633\) −7.74510 + 2.81899i −0.307840 + 0.112045i
\(634\) −3.75150 + 6.49778i −0.148991 + 0.258060i
\(635\) 5.63429 + 9.75887i 0.223590 + 0.387269i
\(636\) 6.74170 + 5.65695i 0.267326 + 0.224313i
\(637\) −19.1808 16.0946i −0.759969 0.637690i
\(638\) −4.86484 8.42615i −0.192601 0.333594i
\(639\) 1.04189 1.80460i 0.0412165 0.0713891i
\(640\) −0.939693 + 0.342020i −0.0371446 + 0.0135195i
\(641\) 3.39764 + 19.2690i 0.134199 + 0.761079i 0.975414 + 0.220379i \(0.0707294\pi\)
−0.841216 + 0.540700i \(0.818159\pi\)
\(642\) −2.08378 + 11.8177i −0.0822402 + 0.466407i
\(643\) −19.4979 7.09667i −0.768924 0.279865i −0.0723775 0.997377i \(-0.523059\pi\)
−0.696546 + 0.717512i \(0.745281\pi\)
\(644\) −9.00980 + 7.56012i −0.355036 + 0.297910i
\(645\) 4.82295 0.189903
\(646\) 31.6091 12.0266i 1.24364 0.473180i
\(647\) 8.33275 0.327594 0.163797 0.986494i \(-0.447626\pi\)
0.163797 + 0.986494i \(0.447626\pi\)
\(648\) −0.766044 + 0.642788i −0.0300931 + 0.0252511i
\(649\) −35.5707 12.9467i −1.39627 0.508202i
\(650\) −0.868241 + 4.92404i −0.0340552 + 0.193137i
\(651\) 1.33181 + 7.55310i 0.0521979 + 0.296029i
\(652\) −1.30541 + 0.475129i −0.0511237 + 0.0186075i
\(653\) −3.35844 + 5.81699i −0.131426 + 0.227636i −0.924226 0.381845i \(-0.875289\pi\)
0.792801 + 0.609481i \(0.208622\pi\)
\(654\) 4.71688 + 8.16988i 0.184445 + 0.319468i
\(655\) 7.81702 + 6.55926i 0.305436 + 0.256291i
\(656\) −3.98886 3.34705i −0.155739 0.130680i
\(657\) −0.426022 0.737892i −0.0166207 0.0287879i
\(658\) −1.88784 + 3.26984i −0.0735957 + 0.127472i
\(659\) −38.8717 + 14.1481i −1.51423 + 0.551133i −0.959698 0.281032i \(-0.909323\pi\)
−0.554528 + 0.832165i \(0.687101\pi\)
\(660\) 0.960637 + 5.44804i 0.0373928 + 0.212065i
\(661\) 2.56799 14.5638i 0.0998833 0.566466i −0.893258 0.449545i \(-0.851586\pi\)
0.993141 0.116922i \(-0.0373026\pi\)
\(662\) −8.14930 2.96610i −0.316732 0.115281i
\(663\) 29.7178 24.9362i 1.15414 0.968442i
\(664\) −2.36959 −0.0919577
\(665\) 1.15611 + 6.04288i 0.0448319 + 0.234333i
\(666\) −3.50980 −0.136002
\(667\) 11.2267 9.42030i 0.434699 0.364756i
\(668\) −15.5954 5.67626i −0.603404 0.219621i
\(669\) 2.85457 16.1891i 0.110364 0.625906i
\(670\) −1.19934 6.80180i −0.0463346 0.262776i
\(671\) 50.1438 18.2509i 1.93578 0.704567i
\(672\) −0.705737 + 1.22237i −0.0272244 + 0.0471540i
\(673\) 9.55943 + 16.5574i 0.368489 + 0.638242i 0.989330 0.145695i \(-0.0465419\pi\)
−0.620841 + 0.783937i \(0.713209\pi\)
\(674\) 11.4834 + 9.63571i 0.442324 + 0.371154i
\(675\) 0.766044 + 0.642788i 0.0294851 + 0.0247409i
\(676\) −6.00000 10.3923i −0.230769 0.399704i
\(677\) 18.7113 32.4088i 0.719132 1.24557i −0.242212 0.970223i \(-0.577873\pi\)
0.961344 0.275350i \(-0.0887937\pi\)
\(678\) −10.5963 + 3.85673i −0.406947 + 0.148117i
\(679\) −3.55344 20.1526i −0.136369 0.773385i
\(680\) 1.34730 7.64090i 0.0516665 0.293015i
\(681\) −18.1557 6.60813i −0.695728 0.253224i
\(682\) −23.0273 + 19.3222i −0.881762 + 0.739887i
\(683\) 38.0702 1.45671 0.728357 0.685198i \(-0.240284\pi\)
0.728357 + 0.685198i \(0.240284\pi\)
\(684\) −4.11721 1.43128i −0.157426 0.0547265i
\(685\) 21.6905 0.828750
\(686\) −12.9834 + 10.8944i −0.495708 + 0.415949i
\(687\) −12.4757 4.54077i −0.475976 0.173241i
\(688\) −0.837496 + 4.74968i −0.0319292 + 0.181080i
\(689\) 7.64109 + 43.3348i 0.291102 + 1.65092i
\(690\) −7.83022 + 2.84997i −0.298091 + 0.108496i
\(691\) −7.10488 + 12.3060i −0.270283 + 0.468143i −0.968934 0.247319i \(-0.920450\pi\)
0.698652 + 0.715462i \(0.253784\pi\)
\(692\) 4.36231 + 7.55574i 0.165830 + 0.287226i
\(693\) 5.98158 + 5.01914i 0.227221 + 0.190661i
\(694\) 22.8949 + 19.2111i 0.869077 + 0.729242i
\(695\) 2.13816 + 3.70339i 0.0811049 + 0.140478i
\(696\) 0.879385 1.52314i 0.0333330 0.0577345i
\(697\) 37.9641 13.8178i 1.43799 0.523387i
\(698\) −1.22668 6.95686i −0.0464306 0.263321i
\(699\) 1.14796 6.51038i 0.0434197 0.246245i
\(700\) 1.32635 + 0.482753i 0.0501314 + 0.0182463i
\(701\) 19.9973 16.7797i 0.755288 0.633762i −0.181608 0.983371i \(-0.558130\pi\)
0.936896 + 0.349609i \(0.113686\pi\)
\(702\) −5.00000 −0.188713
\(703\) −7.84074 13.1369i −0.295719 0.495467i
\(704\) −5.53209 −0.208498
\(705\) −2.04916 + 1.71945i −0.0771759 + 0.0647583i
\(706\) 13.9709 + 5.08499i 0.525802 + 0.191376i
\(707\) 4.38413 24.8637i 0.164882 0.935094i
\(708\) −1.18820 6.73859i −0.0446551 0.253252i
\(709\) 33.2148 12.0892i 1.24741 0.454020i 0.367884 0.929872i \(-0.380083\pi\)
0.879525 + 0.475852i \(0.157860\pi\)
\(710\) 1.04189 1.80460i 0.0391014 0.0677256i
\(711\) −4.82295 8.35359i −0.180875 0.313284i
\(712\) 10.8931 + 9.14036i 0.408235 + 0.342549i
\(713\) −34.6851 29.1043i −1.29897 1.08996i
\(714\) −5.47565 9.48411i −0.204921 0.354934i
\(715\) −13.8302 + 23.9546i −0.517221 + 0.895853i
\(716\) 18.4265 6.70669i 0.688630 0.250641i
\(717\) 0.766511 + 4.34710i 0.0286259 + 0.162345i
\(718\) 1.64590 9.33434i 0.0614243 0.348355i
\(719\) 28.2713 + 10.2899i 1.05434 + 0.383748i 0.810299 0.586017i \(-0.199305\pi\)
0.244041 + 0.969765i \(0.421527\pi\)
\(720\) −0.766044 + 0.642788i −0.0285488 + 0.0239553i
\(721\) 6.95718 0.259099
\(722\) −3.84049 18.6078i −0.142928 0.692511i
\(723\) 12.6459 0.470306
\(724\) 5.66044 4.74968i 0.210369 0.176520i
\(725\) −1.65270 0.601535i −0.0613799 0.0223404i
\(726\) −3.40420 + 19.3062i −0.126342 + 0.716519i
\(727\) −5.79797 32.8819i −0.215035 1.21952i −0.880846 0.473403i \(-0.843025\pi\)
0.665811 0.746120i \(-0.268086\pi\)
\(728\) −6.63176 + 2.41376i −0.245789 + 0.0894600i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −0.426022 0.737892i −0.0157678 0.0273106i
\(731\) −28.6655 24.0532i −1.06023 0.889640i
\(732\) 7.38919 + 6.20026i 0.273112 + 0.229168i
\(733\) −6.67159 11.5555i −0.246421 0.426813i 0.716109 0.697988i \(-0.245921\pi\)
−0.962530 + 0.271175i \(0.912588\pi\)
\(734\) 1.52734 2.64543i 0.0563752 0.0976447i
\(735\) −4.70574 + 1.71275i −0.173574 + 0.0631757i
\(736\) −1.44697 8.20616i −0.0533359 0.302483i
\(737\) 6.63486 37.6281i 0.244398 1.38605i
\(738\) −4.89306 1.78093i −0.180116 0.0655568i
\(739\) 8.07785 6.77812i 0.297148 0.249337i −0.482008 0.876167i \(-0.660092\pi\)
0.779156 + 0.626830i \(0.215648\pi\)
\(740\) −3.50980 −0.129023
\(741\) −11.1698 18.7146i −0.410332 0.687498i
\(742\) 12.4219 0.456022
\(743\) −22.4481 + 18.8362i −0.823543 + 0.691034i −0.953799 0.300446i \(-0.902864\pi\)
0.130256 + 0.991480i \(0.458420\pi\)
\(744\) −5.10607 1.85846i −0.187197 0.0681343i
\(745\) 1.97771 11.2162i 0.0724577 0.410928i
\(746\) −1.96879 11.1656i −0.0720825 0.408800i
\(747\) −2.22668 + 0.810446i −0.0814700 + 0.0296527i
\(748\) 21.4611 37.1717i 0.784696 1.35913i
\(749\) 8.46884 + 14.6685i 0.309445 + 0.535974i
\(750\) 0.766044 + 0.642788i 0.0279720 + 0.0234713i
\(751\) −3.52166 2.95502i −0.128507 0.107830i 0.576269 0.817260i \(-0.304508\pi\)
−0.704776 + 0.709430i \(0.748953\pi\)
\(752\) −1.33750 2.31661i −0.0487735 0.0844781i
\(753\) −7.24422 + 12.5474i −0.263994 + 0.457251i
\(754\) 8.26352 3.00767i 0.300940 0.109533i
\(755\) −2.08647 11.8329i −0.0759343 0.430645i
\(756\) −0.245100 + 1.39003i −0.00891420 + 0.0505549i
\(757\) −7.65183 2.78504i −0.278110 0.101224i 0.199199 0.979959i \(-0.436166\pi\)
−0.477310 + 0.878735i \(0.658388\pi\)
\(758\) −11.0646 + 9.28434i −0.401886 + 0.337222i
\(759\) −46.0975 −1.67323
\(760\) −4.11721 1.43128i −0.149347 0.0519181i
\(761\) 19.2772 0.698800 0.349400 0.936974i \(-0.386386\pi\)
0.349400 + 0.936974i \(0.386386\pi\)
\(762\) −8.63223 + 7.24330i −0.312713 + 0.262397i
\(763\) 12.5125 + 4.55417i 0.452982 + 0.164872i
\(764\) −3.14290 + 17.8243i −0.113706 + 0.644860i
\(765\) −1.34730 7.64090i −0.0487116 0.276257i
\(766\) 12.0312 4.37900i 0.434705 0.158220i
\(767\) 17.1064 29.6291i 0.617675 1.06984i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −22.7815 19.1160i −0.821523 0.689340i 0.131805 0.991276i \(-0.457923\pi\)
−0.953328 + 0.301936i \(0.902367\pi\)
\(770\) 5.98158 + 5.01914i 0.215561 + 0.180877i
\(771\) −13.1284 22.7390i −0.472806 0.818924i
\(772\) −5.75877 + 9.97448i −0.207263 + 0.358990i