Properties

Label 171.2.g.c.106.10
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.10
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0973467 + 0.168609i) q^{2} +(1.55267 + 0.767609i) q^{3} +(0.981047 - 1.69922i) q^{4} -1.90563 q^{5} +(0.0217210 + 0.336519i) q^{6} +(1.69446 - 2.93489i) q^{7} +0.771394 q^{8} +(1.82155 + 2.38368i) q^{9} +O(q^{10})\) \(q+(0.0973467 + 0.168609i) q^{2} +(1.55267 + 0.767609i) q^{3} +(0.981047 - 1.69922i) q^{4} -1.90563 q^{5} +(0.0217210 + 0.336519i) q^{6} +(1.69446 - 2.93489i) q^{7} +0.771394 q^{8} +(1.82155 + 2.38368i) q^{9} +(-0.185507 - 0.321308i) q^{10} +(-0.311589 + 0.539688i) q^{11} +(2.82758 - 1.88527i) q^{12} +(-1.84489 + 3.19545i) q^{13} +0.659800 q^{14} +(-2.95882 - 1.46278i) q^{15} +(-1.88700 - 3.26838i) q^{16} +(-3.04830 + 5.27981i) q^{17} +(-0.224589 + 0.539175i) q^{18} +(-1.14464 + 4.20592i) q^{19} +(-1.86952 + 3.23810i) q^{20} +(4.88377 - 3.25622i) q^{21} -0.121329 q^{22} +(3.92442 - 6.79729i) q^{23} +(1.19772 + 0.592129i) q^{24} -1.36856 q^{25} -0.718377 q^{26} +(0.998533 + 5.09931i) q^{27} +(-3.32469 - 5.75853i) q^{28} -1.18459 q^{29} +(-0.0413923 - 0.641281i) q^{30} +(-0.910124 - 1.57638i) q^{31} +(1.13878 - 1.97243i) q^{32} +(-0.898064 + 0.598778i) q^{33} -1.18697 q^{34} +(-3.22902 + 5.59282i) q^{35} +(5.83744 - 0.756723i) q^{36} +5.63896 q^{37} +(-0.820586 + 0.216435i) q^{38} +(-5.31736 + 3.54531i) q^{39} -1.46999 q^{40} -4.03639 q^{41} +(1.02445 + 0.506468i) q^{42} +(-2.54719 - 4.41186i) q^{43} +(0.611367 + 1.05892i) q^{44} +(-3.47121 - 4.54242i) q^{45} +1.52812 q^{46} -12.8718 q^{47} +(-0.421048 - 6.52319i) q^{48} +(-2.24237 - 3.88391i) q^{49} +(-0.133225 - 0.230752i) q^{50} +(-8.78582 + 5.85788i) q^{51} +(3.61985 + 6.26977i) q^{52} +(1.93076 + 3.34418i) q^{53} +(-0.762588 + 0.664763i) q^{54} +(0.593775 - 1.02845i) q^{55} +(1.30709 - 2.26395i) q^{56} +(-5.00575 + 5.65176i) q^{57} +(-0.115316 - 0.199733i) q^{58} +8.50437 q^{59} +(-5.38833 + 3.59263i) q^{60} +3.64691 q^{61} +(0.177195 - 0.306911i) q^{62} +(10.0824 - 1.30701i) q^{63} -7.10458 q^{64} +(3.51569 - 6.08935i) q^{65} +(-0.188383 - 0.0931330i) q^{66} +(-0.523023 + 0.905902i) q^{67} +(5.98105 + 10.3595i) q^{68} +(11.3110 - 7.54151i) q^{69} -1.25734 q^{70} +(1.56289 - 2.70700i) q^{71} +(1.40514 + 1.83876i) q^{72} +(2.06890 - 3.58345i) q^{73} +(0.548934 + 0.950782i) q^{74} +(-2.12492 - 1.05052i) q^{75} +(6.02386 + 6.07121i) q^{76} +(1.05595 + 1.82896i) q^{77} +(-1.11540 - 0.551432i) q^{78} +(8.16729 + 14.1462i) q^{79} +(3.59593 + 6.22834i) q^{80} +(-2.36388 + 8.68401i) q^{81} +(-0.392929 - 0.680574i) q^{82} +(5.35528 - 9.27561i) q^{83} +(-0.741839 - 11.4931i) q^{84} +(5.80894 - 10.0614i) q^{85} +(0.495921 - 0.858960i) q^{86} +(-1.83927 - 0.909299i) q^{87} +(-0.240358 + 0.416312i) q^{88} +(-5.25259 - 9.09775i) q^{89} +(0.427984 - 1.02747i) q^{90} +(6.25218 + 10.8291i) q^{91} +(-7.70007 - 13.3369i) q^{92} +(-0.203077 - 3.14622i) q^{93} +(-1.25303 - 2.17031i) q^{94} +(2.18127 - 8.01495i) q^{95} +(3.28220 - 2.18838i) q^{96} +(-7.34332 - 12.7190i) q^{97} +(0.436576 - 0.756171i) q^{98} +(-1.85402 + 0.240342i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0973467 + 0.168609i 0.0688345 + 0.119225i 0.898389 0.439202i \(-0.144739\pi\)
−0.829554 + 0.558426i \(0.811405\pi\)
\(3\) 1.55267 + 0.767609i 0.896433 + 0.443179i
\(4\) 0.981047 1.69922i 0.490524 0.849612i
\(5\) −1.90563 −0.852225 −0.426113 0.904670i \(-0.640117\pi\)
−0.426113 + 0.904670i \(0.640117\pi\)
\(6\) 0.0217210 + 0.336519i 0.00886757 + 0.137383i
\(7\) 1.69446 2.93489i 0.640445 1.10928i −0.344889 0.938644i \(-0.612083\pi\)
0.985334 0.170639i \(-0.0545833\pi\)
\(8\) 0.771394 0.272729
\(9\) 1.82155 + 2.38368i 0.607185 + 0.794561i
\(10\) −0.185507 0.321308i −0.0586625 0.101606i
\(11\) −0.311589 + 0.539688i −0.0939477 + 0.162722i −0.909169 0.416428i \(-0.863282\pi\)
0.815221 + 0.579150i \(0.196615\pi\)
\(12\) 2.82758 1.88527i 0.816252 0.544230i
\(13\) −1.84489 + 3.19545i −0.511681 + 0.886258i 0.488227 + 0.872717i \(0.337644\pi\)
−0.999908 + 0.0135411i \(0.995690\pi\)
\(14\) 0.659800 0.176339
\(15\) −2.95882 1.46278i −0.763963 0.377688i
\(16\) −1.88700 3.26838i −0.471750 0.817096i
\(17\) −3.04830 + 5.27981i −0.739321 + 1.28054i 0.213481 + 0.976947i \(0.431520\pi\)
−0.952802 + 0.303594i \(0.901813\pi\)
\(18\) −0.224589 + 0.539175i −0.0529362 + 0.127085i
\(19\) −1.14464 + 4.20592i −0.262599 + 0.964905i
\(20\) −1.86952 + 3.23810i −0.418037 + 0.724061i
\(21\) 4.88377 3.25622i 1.06573 0.710566i
\(22\) −0.121329 −0.0258674
\(23\) 3.92442 6.79729i 0.818297 1.41733i −0.0886387 0.996064i \(-0.528252\pi\)
0.906936 0.421269i \(-0.138415\pi\)
\(24\) 1.19772 + 0.592129i 0.244483 + 0.120868i
\(25\) −1.36856 −0.273712
\(26\) −0.718377 −0.140885
\(27\) 0.998533 + 5.09931i 0.192168 + 0.981362i
\(28\) −3.32469 5.75853i −0.628307 1.08826i
\(29\) −1.18459 −0.219972 −0.109986 0.993933i \(-0.535081\pi\)
−0.109986 + 0.993933i \(0.535081\pi\)
\(30\) −0.0413923 0.641281i −0.00755717 0.117081i
\(31\) −0.910124 1.57638i −0.163463 0.283126i 0.772645 0.634838i \(-0.218933\pi\)
−0.936108 + 0.351711i \(0.885600\pi\)
\(32\) 1.13878 1.97243i 0.201310 0.348679i
\(33\) −0.898064 + 0.598778i −0.156333 + 0.104234i
\(34\) −1.18697 −0.203563
\(35\) −3.22902 + 5.59282i −0.545803 + 0.945359i
\(36\) 5.83744 0.756723i 0.972907 0.126120i
\(37\) 5.63896 0.927039 0.463520 0.886087i \(-0.346586\pi\)
0.463520 + 0.886087i \(0.346586\pi\)
\(38\) −0.820586 + 0.216435i −0.133117 + 0.0351104i
\(39\) −5.31736 + 3.54531i −0.851459 + 0.567704i
\(40\) −1.46999 −0.232426
\(41\) −4.03639 −0.630378 −0.315189 0.949029i \(-0.602068\pi\)
−0.315189 + 0.949029i \(0.602068\pi\)
\(42\) 1.02445 + 0.506468i 0.158076 + 0.0781497i
\(43\) −2.54719 4.41186i −0.388442 0.672802i 0.603798 0.797138i \(-0.293653\pi\)
−0.992240 + 0.124335i \(0.960320\pi\)
\(44\) 0.611367 + 1.05892i 0.0921671 + 0.159638i
\(45\) −3.47121 4.54242i −0.517458 0.677145i
\(46\) 1.52812 0.225308
\(47\) −12.8718 −1.87754 −0.938772 0.344539i \(-0.888035\pi\)
−0.938772 + 0.344539i \(0.888035\pi\)
\(48\) −0.421048 6.52319i −0.0607730 0.941542i
\(49\) −2.24237 3.88391i −0.320339 0.554844i
\(50\) −0.133225 0.230752i −0.0188408 0.0326333i
\(51\) −8.78582 + 5.85788i −1.23026 + 0.820268i
\(52\) 3.61985 + 6.26977i 0.501983 + 0.869461i
\(53\) 1.93076 + 3.34418i 0.265211 + 0.459359i 0.967619 0.252416i \(-0.0812251\pi\)
−0.702408 + 0.711775i \(0.747892\pi\)
\(54\) −0.762588 + 0.664763i −0.103775 + 0.0904628i
\(55\) 0.593775 1.02845i 0.0800646 0.138676i
\(56\) 1.30709 2.26395i 0.174668 0.302534i
\(57\) −5.00575 + 5.65176i −0.663028 + 0.748594i
\(58\) −0.115316 0.199733i −0.0151417 0.0262262i
\(59\) 8.50437 1.10717 0.553587 0.832791i \(-0.313259\pi\)
0.553587 + 0.832791i \(0.313259\pi\)
\(60\) −5.38833 + 3.59263i −0.695630 + 0.463807i
\(61\) 3.64691 0.466939 0.233469 0.972364i \(-0.424992\pi\)
0.233469 + 0.972364i \(0.424992\pi\)
\(62\) 0.177195 0.306911i 0.0225038 0.0389778i
\(63\) 10.0824 1.30701i 1.27026 0.164667i
\(64\) −7.10458 −0.888073
\(65\) 3.51569 6.08935i 0.436068 0.755291i
\(66\) −0.188383 0.0931330i −0.0231884 0.0114639i
\(67\) −0.523023 + 0.905902i −0.0638974 + 0.110674i −0.896204 0.443641i \(-0.853686\pi\)
0.832307 + 0.554315i \(0.187020\pi\)
\(68\) 5.98105 + 10.3595i 0.725309 + 1.25627i
\(69\) 11.3110 7.54151i 1.36168 0.907892i
\(70\) −1.25734 −0.150280
\(71\) 1.56289 2.70700i 0.185481 0.321262i −0.758258 0.651955i \(-0.773949\pi\)
0.943738 + 0.330693i \(0.107282\pi\)
\(72\) 1.40514 + 1.83876i 0.165597 + 0.216700i
\(73\) 2.06890 3.58345i 0.242147 0.419411i −0.719179 0.694825i \(-0.755482\pi\)
0.961326 + 0.275414i \(0.0888151\pi\)
\(74\) 0.548934 + 0.950782i 0.0638123 + 0.110526i
\(75\) −2.12492 1.05052i −0.245365 0.121303i
\(76\) 6.02386 + 6.07121i 0.690984 + 0.696416i
\(77\) 1.05595 + 1.82896i 0.120337 + 0.208429i
\(78\) −1.11540 0.551432i −0.126294 0.0624374i
\(79\) 8.16729 + 14.1462i 0.918892 + 1.59157i 0.801100 + 0.598530i \(0.204248\pi\)
0.117792 + 0.993038i \(0.462418\pi\)
\(80\) 3.59593 + 6.22834i 0.402038 + 0.696350i
\(81\) −2.36388 + 8.68401i −0.262654 + 0.964890i
\(82\) −0.392929 0.680574i −0.0433918 0.0751568i
\(83\) 5.35528 9.27561i 0.587818 1.01813i −0.406700 0.913562i \(-0.633321\pi\)
0.994518 0.104569i \(-0.0333462\pi\)
\(84\) −0.741839 11.4931i −0.0809413 1.25400i
\(85\) 5.80894 10.0614i 0.630068 1.09131i
\(86\) 0.495921 0.858960i 0.0534765 0.0926240i
\(87\) −1.83927 0.909299i −0.197190 0.0974871i
\(88\) −0.240358 + 0.416312i −0.0256222 + 0.0443790i
\(89\) −5.25259 9.09775i −0.556773 0.964359i −0.997763 0.0668472i \(-0.978706\pi\)
0.440990 0.897512i \(-0.354627\pi\)
\(90\) 0.427984 1.02747i 0.0451135 0.108305i
\(91\) 6.25218 + 10.8291i 0.655407 + 1.13520i
\(92\) −7.70007 13.3369i −0.802788 1.39047i
\(93\) −0.203077 3.14622i −0.0210581 0.326247i
\(94\) −1.25303 2.17031i −0.129240 0.223850i
\(95\) 2.18127 8.01495i 0.223794 0.822316i
\(96\) 3.28220 2.18838i 0.334988 0.223351i
\(97\) −7.34332 12.7190i −0.745602 1.29142i −0.949913 0.312514i \(-0.898829\pi\)
0.204312 0.978906i \(-0.434504\pi\)
\(98\) 0.436576 0.756171i 0.0441008 0.0763848i
\(99\) −1.85402 + 0.240342i −0.186336 + 0.0241553i
\(100\) −1.34262 + 2.32549i −0.134262 + 0.232549i
\(101\) 8.53801 0.849563 0.424782 0.905296i \(-0.360351\pi\)
0.424782 + 0.905296i \(0.360351\pi\)
\(102\) −1.84297 0.911126i −0.182481 0.0902149i
\(103\) 6.69656 + 11.5988i 0.659832 + 1.14286i 0.980659 + 0.195725i \(0.0627059\pi\)
−0.320827 + 0.947138i \(0.603961\pi\)
\(104\) −1.42314 + 2.46495i −0.139550 + 0.241708i
\(105\) −9.30668 + 6.20517i −0.908239 + 0.605563i
\(106\) −0.375907 + 0.651090i −0.0365113 + 0.0632395i
\(107\) 10.1943 0.985524 0.492762 0.870164i \(-0.335987\pi\)
0.492762 + 0.870164i \(0.335987\pi\)
\(108\) 9.64447 + 3.30593i 0.928040 + 0.318113i
\(109\) −0.945297 + 1.63730i −0.0905431 + 0.156825i −0.907740 0.419534i \(-0.862194\pi\)
0.817197 + 0.576359i \(0.195527\pi\)
\(110\) 0.231208 0.0220448
\(111\) 8.75543 + 4.32851i 0.831029 + 0.410844i
\(112\) −12.7898 −1.20852
\(113\) −4.93706 8.55125i −0.464440 0.804434i 0.534736 0.845019i \(-0.320411\pi\)
−0.999176 + 0.0405856i \(0.987078\pi\)
\(114\) −1.44023 0.293837i −0.134890 0.0275203i
\(115\) −7.47850 + 12.9531i −0.697374 + 1.20789i
\(116\) −1.16214 + 2.01288i −0.107902 + 0.186891i
\(117\) −10.9775 + 1.42304i −1.01487 + 0.131560i
\(118\) 0.827873 + 1.43392i 0.0762118 + 0.132003i
\(119\) 10.3304 + 17.8928i 0.946988 + 1.64023i
\(120\) −2.28241 1.12838i −0.208355 0.103007i
\(121\) 5.30582 + 9.18996i 0.482348 + 0.835451i
\(122\) 0.355014 + 0.614903i 0.0321415 + 0.0556707i
\(123\) −6.26717 3.09837i −0.565092 0.279371i
\(124\) −3.57150 −0.320730
\(125\) 12.1361 1.08549
\(126\) 1.20186 + 1.57275i 0.107070 + 0.140112i
\(127\) −4.32772 7.49583i −0.384023 0.665148i 0.607610 0.794236i \(-0.292128\pi\)
−0.991633 + 0.129088i \(0.958795\pi\)
\(128\) −2.96917 5.14275i −0.262440 0.454559i
\(129\) −0.568356 8.80539i −0.0500409 0.775272i
\(130\) 1.36896 0.120066
\(131\) 2.08447 0.182121 0.0910604 0.995845i \(-0.470974\pi\)
0.0910604 + 0.995845i \(0.470974\pi\)
\(132\) 0.136415 + 2.11344i 0.0118734 + 0.183951i
\(133\) 10.4044 + 10.4862i 0.902172 + 0.909265i
\(134\) −0.203658 −0.0175934
\(135\) −1.90284 9.71741i −0.163770 0.836342i
\(136\) −2.35144 + 4.07281i −0.201634 + 0.349241i
\(137\) −17.0350 −1.45540 −0.727700 0.685896i \(-0.759411\pi\)
−0.727700 + 0.685896i \(0.759411\pi\)
\(138\) 2.37266 + 1.17300i 0.201974 + 0.0998520i
\(139\) −1.13106 + 1.95905i −0.0959351 + 0.166164i −0.909998 0.414612i \(-0.863917\pi\)
0.814063 + 0.580776i \(0.197251\pi\)
\(140\) 6.33563 + 10.9736i 0.535459 + 0.927442i
\(141\) −19.9856 9.88050i −1.68309 0.832088i
\(142\) 0.608568 0.0510699
\(143\) −1.14970 1.99133i −0.0961425 0.166524i
\(144\) 4.35351 10.4515i 0.362793 0.870962i
\(145\) 2.25739 0.187466
\(146\) 0.805604 0.0666723
\(147\) −0.500342 7.75168i −0.0412675 0.639348i
\(148\) 5.53209 9.58186i 0.454735 0.787624i
\(149\) 2.40529 0.197049 0.0985246 0.995135i \(-0.468588\pi\)
0.0985246 + 0.995135i \(0.468588\pi\)
\(150\) −0.0297266 0.460546i −0.00242716 0.0376034i
\(151\) 3.86313 6.69114i 0.314377 0.544517i −0.664928 0.746908i \(-0.731538\pi\)
0.979305 + 0.202391i \(0.0648710\pi\)
\(152\) −0.882971 + 3.24442i −0.0716184 + 0.263157i
\(153\) −18.1380 + 2.35128i −1.46637 + 0.190090i
\(154\) −0.205586 + 0.356086i −0.0165666 + 0.0286942i
\(155\) 1.73436 + 3.00401i 0.139307 + 0.241288i
\(156\) 0.807700 + 12.5135i 0.0646678 + 1.00188i
\(157\) −5.43874 −0.434058 −0.217029 0.976165i \(-0.569637\pi\)
−0.217029 + 0.976165i \(0.569637\pi\)
\(158\) −1.59012 + 2.75417i −0.126503 + 0.219110i
\(159\) 0.430813 + 6.67448i 0.0341657 + 0.529320i
\(160\) −2.17010 + 3.75872i −0.171561 + 0.297153i
\(161\) −13.2995 23.0354i −1.04815 1.81545i
\(162\) −1.69432 + 0.446787i −0.133119 + 0.0351029i
\(163\) −7.27424 −0.569763 −0.284881 0.958563i \(-0.591954\pi\)
−0.284881 + 0.958563i \(0.591954\pi\)
\(164\) −3.95989 + 6.85873i −0.309216 + 0.535577i
\(165\) 1.71138 1.14105i 0.133231 0.0888307i
\(166\) 2.08527 0.161849
\(167\) 2.23165 3.86534i 0.172691 0.299109i −0.766669 0.642042i \(-0.778087\pi\)
0.939360 + 0.342934i \(0.111421\pi\)
\(168\) 3.76731 2.51183i 0.290655 0.193792i
\(169\) −0.307257 0.532185i −0.0236352 0.0409373i
\(170\) 2.26192 0.173482
\(171\) −12.1106 + 4.93285i −0.926122 + 0.377225i
\(172\) −9.99565 −0.762161
\(173\) −6.00303 10.3976i −0.456402 0.790512i 0.542365 0.840143i \(-0.317529\pi\)
−0.998768 + 0.0496308i \(0.984196\pi\)
\(174\) −0.0257305 0.398636i −0.00195062 0.0302205i
\(175\) −2.31897 + 4.01657i −0.175298 + 0.303624i
\(176\) 2.35188 0.177279
\(177\) 13.2045 + 6.52803i 0.992508 + 0.490677i
\(178\) 1.02264 1.77127i 0.0766504 0.132762i
\(179\) 20.0123 1.49579 0.747897 0.663815i \(-0.231064\pi\)
0.747897 + 0.663815i \(0.231064\pi\)
\(180\) −11.1240 + 1.44204i −0.829136 + 0.107483i
\(181\) −6.04514 10.4705i −0.449332 0.778265i 0.549011 0.835815i \(-0.315005\pi\)
−0.998343 + 0.0575498i \(0.981671\pi\)
\(182\) −1.21726 + 2.10836i −0.0902293 + 0.156282i
\(183\) 5.66243 + 2.79940i 0.418579 + 0.206937i
\(184\) 3.02727 5.24339i 0.223173 0.386548i
\(185\) −10.7458 −0.790046
\(186\) 0.510713 0.340514i 0.0374473 0.0249677i
\(187\) −1.89963 3.29026i −0.138915 0.240608i
\(188\) −12.6278 + 21.8721i −0.920980 + 1.59518i
\(189\) 16.6579 + 5.70998i 1.21168 + 0.415340i
\(190\) 1.56374 0.412446i 0.113445 0.0299220i
\(191\) 1.34685 2.33282i 0.0974548 0.168797i −0.813176 0.582018i \(-0.802263\pi\)
0.910631 + 0.413222i \(0.135597\pi\)
\(192\) −11.0311 5.45354i −0.796098 0.393575i
\(193\) 12.5244 0.901523 0.450762 0.892644i \(-0.351152\pi\)
0.450762 + 0.892644i \(0.351152\pi\)
\(194\) 1.42970 2.47631i 0.102646 0.177789i
\(195\) 10.1329 6.75607i 0.725635 0.483812i
\(196\) −8.79950 −0.628536
\(197\) −11.8545 −0.844595 −0.422297 0.906457i \(-0.638776\pi\)
−0.422297 + 0.906457i \(0.638776\pi\)
\(198\) −0.221007 0.289209i −0.0157063 0.0205532i
\(199\) 3.01833 + 5.22790i 0.213964 + 0.370596i 0.952952 0.303123i \(-0.0980292\pi\)
−0.738988 + 0.673719i \(0.764696\pi\)
\(200\) −1.05570 −0.0746492
\(201\) −1.50746 + 1.00509i −0.106328 + 0.0708934i
\(202\) 0.831147 + 1.43959i 0.0584793 + 0.101289i
\(203\) −2.00723 + 3.47663i −0.140880 + 0.244012i
\(204\) 1.33455 + 20.6759i 0.0934375 + 1.44760i
\(205\) 7.69188 0.537224
\(206\) −1.30378 + 2.25821i −0.0908385 + 0.157337i
\(207\) 23.3511 3.02707i 1.62301 0.210396i
\(208\) 13.9253 0.965543
\(209\) −1.91323 1.92827i −0.132341 0.133381i
\(210\) −1.95223 0.965142i −0.134716 0.0666011i
\(211\) −5.65425 −0.389255 −0.194627 0.980877i \(-0.562350\pi\)
−0.194627 + 0.980877i \(0.562350\pi\)
\(212\) 7.57669 0.520369
\(213\) 4.50457 3.00339i 0.308648 0.205789i
\(214\) 0.992386 + 1.71886i 0.0678381 + 0.117499i
\(215\) 4.85401 + 8.40739i 0.331040 + 0.573379i
\(216\) 0.770262 + 3.93357i 0.0524097 + 0.267646i
\(217\) −6.16867 −0.418757
\(218\) −0.368086 −0.0249300
\(219\) 5.96301 3.97579i 0.402943 0.268659i
\(220\) −1.16504 2.01791i −0.0785471 0.136048i
\(221\) −11.2476 19.4813i −0.756593 1.31046i
\(222\) 0.122484 + 1.89762i 0.00822059 + 0.127360i
\(223\) −14.5197 25.1489i −0.972312 1.68409i −0.688535 0.725203i \(-0.741746\pi\)
−0.283777 0.958890i \(-0.591587\pi\)
\(224\) −3.85923 6.68439i −0.257856 0.446619i
\(225\) −2.49291 3.26221i −0.166194 0.217481i
\(226\) 0.961214 1.66487i 0.0639390 0.110746i
\(227\) −11.5488 + 20.0031i −0.766522 + 1.32765i 0.172916 + 0.984937i \(0.444681\pi\)
−0.939438 + 0.342718i \(0.888652\pi\)
\(228\) 4.69273 + 14.0505i 0.310784 + 0.930520i
\(229\) −1.94136 3.36253i −0.128289 0.222202i 0.794725 0.606970i \(-0.207615\pi\)
−0.923014 + 0.384767i \(0.874282\pi\)
\(230\) −2.91203 −0.192014
\(231\) 0.235615 + 3.65032i 0.0155023 + 0.240173i
\(232\) −0.913783 −0.0599928
\(233\) −3.05545 + 5.29220i −0.200169 + 0.346703i −0.948583 0.316529i \(-0.897483\pi\)
0.748414 + 0.663232i \(0.230816\pi\)
\(234\) −1.30856 1.71238i −0.0855434 0.111942i
\(235\) 24.5289 1.60009
\(236\) 8.34319 14.4508i 0.543095 0.940669i
\(237\) 1.82237 + 28.2336i 0.118376 + 1.83397i
\(238\) −2.01127 + 3.48361i −0.130371 + 0.225809i
\(239\) −9.61029 16.6455i −0.621638 1.07671i −0.989181 0.146702i \(-0.953134\pi\)
0.367543 0.930007i \(-0.380199\pi\)
\(240\) 0.802363 + 12.4308i 0.0517923 + 0.802406i
\(241\) 10.6740 0.687573 0.343786 0.939048i \(-0.388290\pi\)
0.343786 + 0.939048i \(0.388290\pi\)
\(242\) −1.03301 + 1.78922i −0.0664044 + 0.115016i
\(243\) −10.3362 + 11.6688i −0.663070 + 0.748557i
\(244\) 3.57779 6.19691i 0.229044 0.396717i
\(245\) 4.27314 + 7.40130i 0.273001 + 0.472852i
\(246\) −0.0876746 1.35832i −0.00558993 0.0866034i
\(247\) −11.3281 11.4171i −0.720787 0.726454i
\(248\) −0.702064 1.21601i −0.0445811 0.0772168i
\(249\) 15.4350 10.2912i 0.978153 0.652177i
\(250\) 1.18141 + 2.04627i 0.0747192 + 0.129417i
\(251\) 9.04512 + 15.6666i 0.570923 + 0.988867i 0.996471 + 0.0839318i \(0.0267478\pi\)
−0.425549 + 0.904936i \(0.639919\pi\)
\(252\) 7.67040 18.4145i 0.483190 1.16000i
\(253\) 2.44561 + 4.23592i 0.153754 + 0.266310i
\(254\) 0.842579 1.45939i 0.0528681 0.0915702i
\(255\) 16.7425 11.1630i 1.04846 0.699053i
\(256\) −6.52650 + 11.3042i −0.407906 + 0.706515i
\(257\) −11.6856 + 20.2401i −0.728930 + 1.26254i 0.228406 + 0.973566i \(0.426649\pi\)
−0.957336 + 0.288978i \(0.906685\pi\)
\(258\) 1.42935 0.953006i 0.0889871 0.0593316i
\(259\) 9.55498 16.5497i 0.593718 1.02835i
\(260\) −6.89811 11.9479i −0.427803 0.740976i
\(261\) −2.15779 2.82368i −0.133564 0.174781i
\(262\) 0.202916 + 0.351461i 0.0125362 + 0.0217133i
\(263\) 12.1983 + 21.1280i 0.752177 + 1.30281i 0.946766 + 0.321924i \(0.104330\pi\)
−0.194589 + 0.980885i \(0.562337\pi\)
\(264\) −0.692761 + 0.461894i −0.0426365 + 0.0284276i
\(265\) −3.67933 6.37279i −0.226019 0.391477i
\(266\) −0.755235 + 2.77507i −0.0463064 + 0.170150i
\(267\) −1.17201 18.1577i −0.0717260 1.11123i
\(268\) 1.02622 + 1.77746i 0.0626864 + 0.108576i
\(269\) 12.5243 21.6927i 0.763620 1.32263i −0.177354 0.984147i \(-0.556754\pi\)
0.940973 0.338481i \(-0.109913\pi\)
\(270\) 1.45321 1.26679i 0.0884397 0.0770947i
\(271\) −1.42509 + 2.46833i −0.0865679 + 0.149940i −0.906058 0.423153i \(-0.860923\pi\)
0.819490 + 0.573093i \(0.194257\pi\)
\(272\) 23.0086 1.39510
\(273\) 1.39505 + 21.6132i 0.0844325 + 1.30809i
\(274\) −1.65830 2.87226i −0.100182 0.173520i
\(275\) 0.426429 0.738596i 0.0257146 0.0445390i
\(276\) −1.71812 26.6184i −0.103419 1.60224i
\(277\) −1.14916 + 1.99041i −0.0690465 + 0.119592i −0.898482 0.439011i \(-0.855329\pi\)
0.829435 + 0.558603i \(0.188662\pi\)
\(278\) −0.440419 −0.0264146
\(279\) 2.09975 5.04091i 0.125709 0.301791i
\(280\) −2.49084 + 4.31427i −0.148856 + 0.257827i
\(281\) 14.1908 0.846554 0.423277 0.906000i \(-0.360880\pi\)
0.423277 + 0.906000i \(0.360880\pi\)
\(282\) −0.279589 4.33160i −0.0166493 0.257943i
\(283\) −8.27764 −0.492055 −0.246027 0.969263i \(-0.579125\pi\)
−0.246027 + 0.969263i \(0.579125\pi\)
\(284\) −3.06654 5.31140i −0.181965 0.315173i
\(285\) 9.53913 10.7702i 0.565049 0.637971i
\(286\) 0.223838 0.387700i 0.0132358 0.0229252i
\(287\) −6.83949 + 11.8464i −0.403723 + 0.699268i
\(288\) 6.77599 0.878389i 0.399279 0.0517596i
\(289\) −10.0842 17.4664i −0.593190 1.02744i
\(290\) 0.219749 + 0.380617i 0.0129041 + 0.0223506i
\(291\) −1.63852 25.3852i −0.0960518 1.48811i
\(292\) −4.05939 7.03106i −0.237558 0.411462i
\(293\) 9.90459 + 17.1553i 0.578632 + 1.00222i 0.995637 + 0.0933160i \(0.0297467\pi\)
−0.417004 + 0.908905i \(0.636920\pi\)
\(294\) 1.25830 0.838963i 0.0733856 0.0489293i
\(295\) −16.2062 −0.943562
\(296\) 4.34986 0.252830
\(297\) −3.06317 1.04999i −0.177743 0.0609267i
\(298\) 0.234147 + 0.405555i 0.0135638 + 0.0234932i
\(299\) 14.4803 + 25.0805i 0.837415 + 1.45044i
\(300\) −3.86971 + 2.58011i −0.223418 + 0.148962i
\(301\) −17.2644 −0.995104
\(302\) 1.50425 0.0865600
\(303\) 13.2567 + 6.55385i 0.761577 + 0.376509i
\(304\) 15.9065 4.19545i 0.912301 0.240626i
\(305\) −6.94967 −0.397937
\(306\) −2.16212 2.82935i −0.123600 0.161743i
\(307\) −9.08098 + 15.7287i −0.518279 + 0.897685i 0.481496 + 0.876448i \(0.340094\pi\)
−0.999774 + 0.0212367i \(0.993240\pi\)
\(308\) 4.14374 0.236112
\(309\) 1.49421 + 23.1494i 0.0850025 + 1.31692i
\(310\) −0.337669 + 0.584860i −0.0191783 + 0.0332178i
\(311\) −1.15887 2.00723i −0.0657137 0.113820i 0.831297 0.555829i \(-0.187599\pi\)
−0.897010 + 0.442010i \(0.854266\pi\)
\(312\) −4.10178 + 2.73483i −0.232217 + 0.154829i
\(313\) 18.7101 1.05756 0.528779 0.848759i \(-0.322650\pi\)
0.528779 + 0.848759i \(0.322650\pi\)
\(314\) −0.529443 0.917023i −0.0298782 0.0517506i
\(315\) −19.2133 + 2.49068i −1.08255 + 0.140334i
\(316\) 32.0500 1.80295
\(317\) −14.3891 −0.808171 −0.404086 0.914721i \(-0.632410\pi\)
−0.404086 + 0.914721i \(0.632410\pi\)
\(318\) −1.08344 + 0.722377i −0.0607564 + 0.0405089i
\(319\) 0.369105 0.639308i 0.0206659 0.0357944i
\(320\) 13.5387 0.756838
\(321\) 15.8284 + 7.82527i 0.883457 + 0.436764i
\(322\) 2.58933 4.48485i 0.144298 0.249931i
\(323\) −18.7172 18.8644i −1.04146 1.04964i
\(324\) 12.4370 + 12.5362i 0.690944 + 0.696455i
\(325\) 2.52485 4.37316i 0.140053 0.242580i
\(326\) −0.708124 1.22651i −0.0392194 0.0679299i
\(327\) −2.72454 + 1.81657i −0.150667 + 0.100457i
\(328\) −3.11365 −0.171922
\(329\) −21.8107 + 37.7773i −1.20246 + 2.08273i
\(330\) 0.358989 + 0.177477i 0.0197617 + 0.00976980i
\(331\) −14.2961 + 24.7615i −0.785784 + 1.36102i 0.142746 + 0.989759i \(0.454407\pi\)
−0.928530 + 0.371258i \(0.878927\pi\)
\(332\) −10.5076 18.1996i −0.576677 0.998834i
\(333\) 10.2717 + 13.4415i 0.562884 + 0.736589i
\(334\) 0.868977 0.0475483
\(335\) 0.996689 1.72632i 0.0544550 0.0943188i
\(336\) −19.8583 9.81754i −1.08336 0.535591i
\(337\) 20.3107 1.10640 0.553199 0.833049i \(-0.313407\pi\)
0.553199 + 0.833049i \(0.313407\pi\)
\(338\) 0.0598209 0.103613i 0.00325383 0.00563580i
\(339\) −1.10161 17.0670i −0.0598312 0.926951i
\(340\) −11.3977 19.7414i −0.618126 1.07063i
\(341\) 1.13434 0.0614279
\(342\) −2.01065 1.56177i −0.108724 0.0844507i
\(343\) 8.52398 0.460251
\(344\) −1.96488 3.40328i −0.105939 0.183493i
\(345\) −21.5546 + 14.3714i −1.16046 + 0.773728i
\(346\) 1.16875 2.02434i 0.0628325 0.108829i
\(347\) −35.7597 −1.91968 −0.959841 0.280544i \(-0.909485\pi\)
−0.959841 + 0.280544i \(0.909485\pi\)
\(348\) −3.34951 + 2.23327i −0.179553 + 0.119716i
\(349\) −1.94971 + 3.37700i −0.104366 + 0.180767i −0.913479 0.406886i \(-0.866615\pi\)
0.809113 + 0.587653i \(0.199948\pi\)
\(350\) −0.902976 −0.0482661
\(351\) −18.1368 6.21691i −0.968068 0.331834i
\(352\) 0.709663 + 1.22917i 0.0378252 + 0.0655151i
\(353\) 5.00251 8.66460i 0.266257 0.461170i −0.701635 0.712536i \(-0.747546\pi\)
0.967892 + 0.251366i \(0.0808798\pi\)
\(354\) 0.184724 + 2.86188i 0.00981795 + 0.152107i
\(355\) −2.97829 + 5.15856i −0.158071 + 0.273788i
\(356\) −20.6121 −1.09244
\(357\) 2.30503 + 35.7113i 0.121995 + 1.89004i
\(358\) 1.94814 + 3.37427i 0.102962 + 0.178336i
\(359\) 2.25793 3.91084i 0.119169 0.206406i −0.800270 0.599640i \(-0.795310\pi\)
0.919439 + 0.393234i \(0.128644\pi\)
\(360\) −2.67767 3.50400i −0.141126 0.184677i
\(361\) −16.3796 9.62856i −0.862083 0.506766i
\(362\) 1.17695 2.03854i 0.0618591 0.107143i
\(363\) 1.18389 + 18.3417i 0.0621382 + 0.962692i
\(364\) 24.5348 1.28597
\(365\) −3.94257 + 6.82874i −0.206364 + 0.357432i
\(366\) 0.0792146 + 1.22725i 0.00414061 + 0.0641495i
\(367\) −23.4866 −1.22599 −0.612996 0.790086i \(-0.710036\pi\)
−0.612996 + 0.790086i \(0.710036\pi\)
\(368\) −29.6215 −1.54413
\(369\) −7.35251 9.62147i −0.382756 0.500874i
\(370\) −1.04607 1.81184i −0.0543825 0.0941932i
\(371\) 13.0864 0.679412
\(372\) −5.54535 2.74151i −0.287513 0.142141i
\(373\) −12.2017 21.1340i −0.631782 1.09428i −0.987187 0.159566i \(-0.948991\pi\)
0.355406 0.934712i \(-0.384343\pi\)
\(374\) 0.369846 0.640592i 0.0191243 0.0331242i
\(375\) 18.8434 + 9.31581i 0.973069 + 0.481066i
\(376\) −9.92922 −0.512061
\(377\) 2.18544 3.78529i 0.112556 0.194952i
\(378\) 0.658832 + 3.36452i 0.0338867 + 0.173052i
\(379\) −17.7118 −0.909793 −0.454896 0.890544i \(-0.650324\pi\)
−0.454896 + 0.890544i \(0.650324\pi\)
\(380\) −11.4793 11.5695i −0.588874 0.593503i
\(381\) −0.965647 14.9605i −0.0494716 0.766451i
\(382\) 0.524447 0.0268330
\(383\) 4.07577 0.208262 0.104131 0.994564i \(-0.466794\pi\)
0.104131 + 0.994564i \(0.466794\pi\)
\(384\) −0.662512 10.2641i −0.0338087 0.523790i
\(385\) −2.01225 3.48532i −0.102554 0.177629i
\(386\) 1.21921 + 2.11173i 0.0620559 + 0.107484i
\(387\) 5.87663 14.1081i 0.298726 0.717156i
\(388\) −28.8166 −1.46294
\(389\) 5.31159 0.269308 0.134654 0.990893i \(-0.457008\pi\)
0.134654 + 0.990893i \(0.457008\pi\)
\(390\) 2.12555 + 1.05083i 0.107631 + 0.0532107i
\(391\) 23.9256 + 41.4403i 1.20997 + 2.09573i
\(392\) −1.72975 2.99602i −0.0873657 0.151322i
\(393\) 3.23648 + 1.60005i 0.163259 + 0.0807121i
\(394\) −1.15399 1.99877i −0.0581373 0.100697i
\(395\) −15.5639 26.9574i −0.783103 1.35637i
\(396\) −1.41049 + 3.38618i −0.0708797 + 0.170162i
\(397\) 9.38913 16.2624i 0.471227 0.816189i −0.528232 0.849100i \(-0.677145\pi\)
0.999458 + 0.0329117i \(0.0104780\pi\)
\(398\) −0.587649 + 1.01784i −0.0294562 + 0.0510196i
\(399\) 8.10525 + 24.2680i 0.405770 + 1.21492i
\(400\) 2.58248 + 4.47298i 0.129124 + 0.223649i
\(401\) 20.9083 1.04411 0.522055 0.852912i \(-0.325166\pi\)
0.522055 + 0.852912i \(0.325166\pi\)
\(402\) −0.316213 0.156330i −0.0157713 0.00779702i
\(403\) 6.71633 0.334564
\(404\) 8.37619 14.5080i 0.416731 0.721799i
\(405\) 4.50469 16.5485i 0.223840 0.822304i
\(406\) −0.781590 −0.0387897
\(407\) −1.75704 + 3.04328i −0.0870932 + 0.150850i
\(408\) −6.77733 + 4.51874i −0.335528 + 0.223711i
\(409\) 0.569856 0.987019i 0.0281776 0.0488050i −0.851593 0.524204i \(-0.824363\pi\)
0.879770 + 0.475399i \(0.157696\pi\)
\(410\) 0.748780 + 1.29692i 0.0369796 + 0.0640505i
\(411\) −26.4497 13.0762i −1.30467 0.645002i
\(412\) 26.2786 1.29465
\(413\) 14.4103 24.9594i 0.709084 1.22817i
\(414\) 2.78355 + 3.64254i 0.136804 + 0.179021i
\(415\) −10.2052 + 17.6759i −0.500953 + 0.867676i
\(416\) 4.20186 + 7.27783i 0.206013 + 0.356825i
\(417\) −3.25994 + 2.17354i −0.159640 + 0.106439i
\(418\) 0.138878 0.510299i 0.00679275 0.0249596i
\(419\) 3.86547 + 6.69519i 0.188840 + 0.327081i 0.944864 0.327463i \(-0.106194\pi\)
−0.756023 + 0.654545i \(0.772860\pi\)
\(420\) 1.41367 + 21.9017i 0.0689802 + 1.06869i
\(421\) 6.69993 + 11.6046i 0.326535 + 0.565575i 0.981822 0.189805i \(-0.0607856\pi\)
−0.655287 + 0.755380i \(0.727452\pi\)
\(422\) −0.550423 0.953361i −0.0267942 0.0464089i
\(423\) −23.4467 30.6823i −1.14002 1.49182i
\(424\) 1.48938 + 2.57968i 0.0723307 + 0.125280i
\(425\) 4.17178 7.22574i 0.202361 0.350500i
\(426\) 0.944905 + 0.467142i 0.0457808 + 0.0226331i
\(427\) 6.17953 10.7033i 0.299048 0.517967i
\(428\) 10.0011 17.3225i 0.483423 0.837313i
\(429\) −0.256533 3.97440i −0.0123855 0.191886i
\(430\) −0.945043 + 1.63686i −0.0455740 + 0.0789365i
\(431\) 17.1747 + 29.7474i 0.827275 + 1.43288i 0.900168 + 0.435542i \(0.143443\pi\)
−0.0728934 + 0.997340i \(0.523223\pi\)
\(432\) 14.7823 12.8860i 0.711212 0.619977i
\(433\) −0.930181 1.61112i −0.0447016 0.0774255i 0.842809 0.538213i \(-0.180900\pi\)
−0.887511 + 0.460787i \(0.847567\pi\)
\(434\) −0.600500 1.04010i −0.0288249 0.0499262i
\(435\) 3.50498 + 1.73279i 0.168051 + 0.0830810i
\(436\) 1.85476 + 3.21254i 0.0888270 + 0.153853i
\(437\) 24.0968 + 24.2863i 1.15271 + 1.16177i
\(438\) 1.25084 + 0.618389i 0.0597672 + 0.0295478i
\(439\) 7.53926 + 13.0584i 0.359829 + 0.623243i 0.987932 0.154888i \(-0.0495016\pi\)
−0.628103 + 0.778130i \(0.716168\pi\)
\(440\) 0.458034 0.793338i 0.0218359 0.0378209i
\(441\) 5.17339 12.4199i 0.246352 0.591422i
\(442\) 2.18983 3.79289i 0.104159 0.180409i
\(443\) 5.10805 0.242691 0.121345 0.992610i \(-0.461279\pi\)
0.121345 + 0.992610i \(0.461279\pi\)
\(444\) 15.9446 10.6310i 0.756698 0.504523i
\(445\) 10.0095 + 17.3370i 0.474496 + 0.821851i
\(446\) 2.82689 4.89632i 0.133857 0.231848i
\(447\) 3.73462 + 1.84632i 0.176641 + 0.0873281i
\(448\) −12.0384 + 20.8511i −0.568762 + 0.985124i
\(449\) −13.4001 −0.632392 −0.316196 0.948694i \(-0.602406\pi\)
−0.316196 + 0.948694i \(0.602406\pi\)
\(450\) 0.307364 0.737894i 0.0144893 0.0347846i
\(451\) 1.25770 2.17839i 0.0592226 0.102577i
\(452\) −19.3740 −0.911275
\(453\) 11.1343 7.42374i 0.523137 0.348798i
\(454\) −4.49696 −0.211053
\(455\) −11.9144 20.6363i −0.558554 0.967445i
\(456\) −3.86141 + 4.35974i −0.180827 + 0.204163i
\(457\) −12.1509 + 21.0459i −0.568394 + 0.984487i 0.428331 + 0.903622i \(0.359102\pi\)
−0.996725 + 0.0808654i \(0.974232\pi\)
\(458\) 0.377970 0.654663i 0.0176614 0.0305904i
\(459\) −29.9672 10.2721i −1.39875 0.479463i
\(460\) 14.6735 + 25.4153i 0.684156 + 1.18499i
\(461\) −2.28981 3.96607i −0.106647 0.184719i 0.807763 0.589508i \(-0.200678\pi\)
−0.914410 + 0.404789i \(0.867345\pi\)
\(462\) −0.592542 + 0.395073i −0.0275676 + 0.0183805i
\(463\) −14.8382 25.7005i −0.689589 1.19440i −0.971971 0.235101i \(-0.924458\pi\)
0.282382 0.959302i \(-0.408875\pi\)
\(464\) 2.23532 + 3.87168i 0.103772 + 0.179738i
\(465\) 0.386990 + 5.99553i 0.0179462 + 0.278036i
\(466\) −1.18975 −0.0551142
\(467\) 38.8322 1.79694 0.898469 0.439037i \(-0.144680\pi\)
0.898469 + 0.439037i \(0.144680\pi\)
\(468\) −8.35138 + 20.0493i −0.386043 + 0.926779i
\(469\) 1.77248 + 3.07002i 0.0818455 + 0.141761i
\(470\) 2.38781 + 4.13581i 0.110141 + 0.190771i
\(471\) −8.44455 4.17482i −0.389104 0.192366i
\(472\) 6.56022 0.301959
\(473\) 3.17470 0.145973
\(474\) −4.58305 + 3.05572i −0.210506 + 0.140354i
\(475\) 1.56651 5.75606i 0.0718766 0.264106i
\(476\) 40.5385 1.85808
\(477\) −4.45448 + 10.6939i −0.203956 + 0.489642i
\(478\) 1.87106 3.24077i 0.0855803 0.148229i
\(479\) 9.99299 0.456591 0.228296 0.973592i \(-0.426685\pi\)
0.228296 + 0.973592i \(0.426685\pi\)
\(480\) −6.25467 + 4.17026i −0.285485 + 0.190345i
\(481\) −10.4033 + 18.0190i −0.474349 + 0.821596i
\(482\) 1.03908 + 1.79974i 0.0473287 + 0.0819758i
\(483\) −2.96753 45.9752i −0.135027 2.09194i
\(484\) 20.8211 0.946412
\(485\) 13.9937 + 24.2378i 0.635421 + 1.10058i
\(486\) −2.97368 0.606865i −0.134889 0.0275279i
\(487\) −17.8510 −0.808906 −0.404453 0.914559i \(-0.632538\pi\)
−0.404453 + 0.914559i \(0.632538\pi\)
\(488\) 2.81320 0.127348
\(489\) −11.2945 5.58377i −0.510754 0.252507i
\(490\) −0.831953 + 1.44098i −0.0375838 + 0.0650971i
\(491\) −13.4844 −0.608544 −0.304272 0.952585i \(-0.598413\pi\)
−0.304272 + 0.952585i \(0.598413\pi\)
\(492\) −11.4132 + 7.60969i −0.514548 + 0.343071i
\(493\) 3.61097 6.25439i 0.162630 0.281684i
\(494\) 0.822285 3.02144i 0.0369964 0.135941i
\(495\) 3.53309 0.458003i 0.158800 0.0205857i
\(496\) −3.43481 + 5.94927i −0.154228 + 0.267130i
\(497\) −5.29650 9.17380i −0.237580 0.411501i
\(498\) 3.23774 + 1.60067i 0.145086 + 0.0717279i
\(499\) 15.2752 0.683811 0.341905 0.939734i \(-0.388928\pi\)
0.341905 + 0.939734i \(0.388928\pi\)
\(500\) 11.9061 20.6220i 0.532458 0.922245i
\(501\) 6.43208 4.28855i 0.287364 0.191598i
\(502\) −1.76103 + 3.05019i −0.0785984 + 0.136136i
\(503\) 0.700770 + 1.21377i 0.0312458 + 0.0541193i 0.881225 0.472696i \(-0.156719\pi\)
−0.849980 + 0.526816i \(0.823386\pi\)
\(504\) 7.77749 1.00822i 0.346437 0.0449095i
\(505\) −16.2703 −0.724019
\(506\) −0.476144 + 0.824706i −0.0211672 + 0.0366627i
\(507\) −0.0685584 1.06216i −0.00304479 0.0471721i
\(508\) −16.9828 −0.753490
\(509\) −7.65770 + 13.2635i −0.339421 + 0.587895i −0.984324 0.176370i \(-0.943565\pi\)
0.644903 + 0.764265i \(0.276898\pi\)
\(510\) 3.51202 + 1.73627i 0.155515 + 0.0768834i
\(511\) −7.01134 12.1440i −0.310163 0.537219i
\(512\) −14.4180 −0.637192
\(513\) −22.5903 1.63713i −0.997384 0.0722812i
\(514\) −4.55023 −0.200702
\(515\) −12.7612 22.1030i −0.562325 0.973976i
\(516\) −15.5199 7.67274i −0.683226 0.337774i
\(517\) 4.01071 6.94675i 0.176391 0.305518i
\(518\) 3.72058 0.163473
\(519\) −1.33946 20.7519i −0.0587958 0.910909i
\(520\) 2.71198 4.69729i 0.118928 0.205990i
\(521\) 23.8486 1.04483 0.522414 0.852692i \(-0.325032\pi\)
0.522414 + 0.852692i \(0.325032\pi\)
\(522\) 0.266045 0.638700i 0.0116445 0.0279551i
\(523\) 7.28432 + 12.6168i 0.318521 + 0.551694i 0.980180 0.198111i \(-0.0634805\pi\)
−0.661659 + 0.749805i \(0.730147\pi\)
\(524\) 2.04496 3.54198i 0.0893345 0.154732i
\(525\) −6.68374 + 4.45634i −0.291702 + 0.194491i
\(526\) −2.37492 + 4.11348i −0.103552 + 0.179356i
\(527\) 11.0973 0.483407
\(528\) 3.65168 + 1.80532i 0.158919 + 0.0785665i
\(529\) −19.3021 33.4322i −0.839221 1.45357i
\(530\) 0.716341 1.24074i 0.0311159 0.0538943i
\(531\) 15.4912 + 20.2717i 0.672259 + 0.879718i
\(532\) 28.0255 7.39192i 1.21506 0.320480i
\(533\) 7.44671 12.8981i 0.322553 0.558678i
\(534\) 2.94747 1.96521i 0.127549 0.0850428i
\(535\) −19.4267 −0.839889
\(536\) −0.403456 + 0.698807i −0.0174267 + 0.0301839i
\(537\) 31.0725 + 15.3617i 1.34088 + 0.662904i
\(538\) 4.87680 0.210254
\(539\) 2.79480 0.120380
\(540\) −18.3788 6.29989i −0.790899 0.271104i
\(541\) 20.7123 + 35.8747i 0.890490 + 1.54237i 0.839289 + 0.543686i \(0.182972\pi\)
0.0512015 + 0.998688i \(0.483695\pi\)
\(542\) −0.554911 −0.0238355
\(543\) −1.34886 20.8975i −0.0578849 0.896797i
\(544\) 6.94268 + 12.0251i 0.297665 + 0.515571i
\(545\) 1.80139 3.12010i 0.0771631 0.133650i
\(546\) −3.50839 + 2.33920i −0.150145 + 0.100108i
\(547\) 34.3461 1.46853 0.734266 0.678862i \(-0.237526\pi\)
0.734266 + 0.678862i \(0.237526\pi\)
\(548\) −16.7122 + 28.9463i −0.713908 + 1.23652i
\(549\) 6.64304 + 8.69307i 0.283518 + 0.371011i
\(550\) 0.166046 0.00708021
\(551\) 1.35593 4.98228i 0.0577645 0.212252i
\(552\) 8.72521 5.81748i 0.371370 0.247608i
\(553\) 55.3565 2.35400
\(554\) −0.447469 −0.0190111
\(555\) −16.6846 8.24856i −0.708224 0.350132i
\(556\) 2.21924 + 3.84384i 0.0941168 + 0.163015i
\(557\) 2.91894 + 5.05575i 0.123679 + 0.214219i 0.921216 0.389052i \(-0.127197\pi\)
−0.797537 + 0.603271i \(0.793864\pi\)
\(558\) 1.05435 0.136678i 0.0446342 0.00578605i
\(559\) 18.7971 0.795035
\(560\) 24.3726 1.02993
\(561\) −0.423866 6.56685i −0.0178956 0.277253i
\(562\) 1.38143 + 2.39271i 0.0582721 + 0.100930i
\(563\) 17.0958 + 29.6108i 0.720503 + 1.24795i 0.960799 + 0.277247i \(0.0894222\pi\)
−0.240296 + 0.970700i \(0.577244\pi\)
\(564\) −36.3960 + 24.2668i −1.53255 + 1.02182i
\(565\) 9.40823 + 16.2955i 0.395807 + 0.685559i
\(566\) −0.805801 1.39569i −0.0338704 0.0586652i
\(567\) 21.4811 + 21.6524i 0.902121 + 0.909316i
\(568\) 1.20560 2.08817i 0.0505860 0.0876175i
\(569\) −20.3407 + 35.2311i −0.852727 + 1.47697i 0.0260109 + 0.999662i \(0.491720\pi\)
−0.878738 + 0.477305i \(0.841614\pi\)
\(570\) 2.74456 + 0.559945i 0.114957 + 0.0234535i
\(571\) 2.75438 + 4.77073i 0.115267 + 0.199649i 0.917887 0.396843i \(-0.129894\pi\)
−0.802619 + 0.596492i \(0.796561\pi\)
\(572\) −4.51163 −0.188641
\(573\) 3.88191 2.58823i 0.162169 0.108125i
\(574\) −2.66321 −0.111160
\(575\) −5.37080 + 9.30250i −0.223978 + 0.387941i
\(576\) −12.9414 16.9351i −0.539224 0.705628i
\(577\) −39.7898 −1.65647 −0.828235 0.560381i \(-0.810655\pi\)
−0.828235 + 0.560381i \(0.810655\pi\)
\(578\) 1.96333 3.40059i 0.0816639 0.141446i
\(579\) 19.4462 + 9.61381i 0.808155 + 0.399536i
\(580\) 2.21461 3.83581i 0.0919565 0.159273i
\(581\) −18.1486 31.4343i −0.752930 1.30411i
\(582\) 4.12068 2.74744i 0.170808 0.113885i
\(583\) −2.40642 −0.0996638
\(584\) 1.59594 2.76425i 0.0660405 0.114385i
\(585\) 20.9191 2.71180i 0.864898 0.112119i
\(586\) −1.92836 + 3.34002i −0.0796598 + 0.137975i
\(587\) −2.86972 4.97050i −0.118446 0.205154i 0.800706 0.599057i \(-0.204458\pi\)
−0.919152 + 0.393903i \(0.871125\pi\)
\(588\) −13.6627 6.75457i −0.563440 0.278554i
\(589\) 7.67191 2.02352i 0.316115 0.0833776i
\(590\) −1.57762 2.73252i −0.0649497 0.112496i
\(591\) −18.4060 9.09958i −0.757123 0.374307i
\(592\) −10.6407 18.4303i −0.437331 0.757480i
\(593\) −13.0607 22.6219i −0.536340 0.928968i −0.999097 0.0424831i \(-0.986473\pi\)
0.462757 0.886485i \(-0.346860\pi\)
\(594\) −0.121151 0.618692i −0.00497088 0.0253853i
\(595\) −19.6860 34.0971i −0.807047 1.39785i
\(596\) 2.35970 4.08713i 0.0966573 0.167415i
\(597\) 0.673482 + 10.4341i 0.0275638 + 0.427039i
\(598\) −2.81921 + 4.88301i −0.115286 + 0.199681i
\(599\) 18.0733 31.3039i 0.738456 1.27904i −0.214734 0.976673i \(-0.568888\pi\)
0.953190 0.302371i \(-0.0977783\pi\)
\(600\) −1.63915 0.810364i −0.0669180 0.0330830i
\(601\) −20.5640 + 35.6178i −0.838821 + 1.45288i 0.0520595 + 0.998644i \(0.483421\pi\)
−0.890881 + 0.454237i \(0.849912\pi\)
\(602\) −1.68063 2.91094i −0.0684975 0.118641i
\(603\) −3.11210 + 0.403429i −0.126734 + 0.0164289i
\(604\) −7.57983 13.1286i −0.308419 0.534197i
\(605\) −10.1110 17.5127i −0.411069 0.711992i
\(606\) 0.185454 + 2.87320i 0.00753357 + 0.116716i
\(607\) −18.4789 32.0064i −0.750035 1.29910i −0.947805 0.318850i \(-0.896703\pi\)
0.197770 0.980248i \(-0.436630\pi\)
\(608\) 6.99238 + 7.04735i 0.283578 + 0.285808i
\(609\) −5.78526 + 3.85728i −0.234430 + 0.156305i
\(610\) −0.676527 1.17178i −0.0273918 0.0474440i
\(611\) 23.7471 41.1311i 0.960704 1.66399i
\(612\) −13.7989 + 33.1273i −0.557788 + 1.33909i
\(613\) 16.4713 28.5292i 0.665270 1.15228i −0.313942 0.949442i \(-0.601650\pi\)
0.979212 0.202839i \(-0.0650169\pi\)
\(614\) −3.53601 −0.142702
\(615\) 11.9429 + 5.90436i 0.481586 + 0.238087i
\(616\) 0.814553 + 1.41085i 0.0328193 + 0.0568446i
\(617\) 6.58944 11.4132i 0.265281 0.459480i −0.702356 0.711826i \(-0.747869\pi\)
0.967637 + 0.252346i \(0.0812020\pi\)
\(618\) −3.75775 + 2.50546i −0.151159 + 0.100784i
\(619\) −15.4316 + 26.7283i −0.620249 + 1.07430i 0.369190 + 0.929354i \(0.379635\pi\)
−0.989439 + 0.144949i \(0.953698\pi\)
\(620\) 6.80597 0.273334
\(621\) 38.5801 + 13.2245i 1.54817 + 0.530680i
\(622\) 0.225625 0.390794i 0.00904675 0.0156694i
\(623\) −35.6011 −1.42633
\(624\) 21.6213 + 10.6892i 0.865545 + 0.427909i
\(625\) −16.2842 −0.651369
\(626\) 1.82137 + 3.15470i 0.0727966 + 0.126087i
\(627\) −1.49045 4.46257i −0.0595229 0.178218i
\(628\) −5.33566 + 9.24163i −0.212916 + 0.368781i
\(629\) −17.1892 + 29.7726i −0.685379 + 1.18711i
\(630\) −2.29031 2.99709i −0.0912480 0.119407i
\(631\) −9.33975 16.1769i −0.371810 0.643993i 0.618034 0.786151i \(-0.287929\pi\)
−0.989844 + 0.142158i \(0.954596\pi\)
\(632\) 6.30020 + 10.9123i 0.250609 + 0.434067i
\(633\) −8.77918 4.34025i −0.348941 0.172510i
\(634\) −1.40073 2.42613i −0.0556301 0.0963541i
\(635\) 8.24705 + 14.2843i 0.327274 + 0.566856i
\(636\) 11.7641 + 5.81593i 0.466476 + 0.230617i
\(637\) 16.5478 0.655646
\(638\) 0.143724 0.00569011
\(639\) 9.29952 1.20552i 0.367883 0.0476897i
\(640\) 5.65815 + 9.80020i 0.223658 + 0.387387i
\(641\) 12.3252 + 21.3478i 0.486815 + 0.843188i 0.999885 0.0151588i \(-0.00482537\pi\)
−0.513070 + 0.858347i \(0.671492\pi\)
\(642\) 0.221432 + 3.43059i 0.00873921 + 0.135394i
\(643\) 5.23393 0.206406 0.103203 0.994660i \(-0.467091\pi\)
0.103203 + 0.994660i \(0.467091\pi\)
\(644\) −52.1898 −2.05657
\(645\) 1.08308 + 16.7799i 0.0426461 + 0.660706i
\(646\) 1.35865 4.99229i 0.0534555 0.196419i
\(647\) −7.54367 −0.296572 −0.148286 0.988944i \(-0.547376\pi\)
−0.148286 + 0.988944i \(0.547376\pi\)
\(648\) −1.82348 + 6.69879i −0.0716332 + 0.263153i
\(649\) −2.64987 + 4.58971i −0.104016 + 0.180162i
\(650\) 0.983143 0.0385620
\(651\) −9.57789 4.73512i −0.375387 0.185584i
\(652\) −7.13638 + 12.3606i −0.279482 + 0.484077i
\(653\) 9.82702 + 17.0209i 0.384561 + 0.666079i 0.991708 0.128510i \(-0.0410195\pi\)
−0.607147 + 0.794589i \(0.707686\pi\)
\(654\) −0.571516 0.282546i −0.0223480 0.0110484i
\(655\) −3.97223 −0.155208
\(656\) 7.61668 + 13.1925i 0.297381 + 0.515080i
\(657\) 12.3104 1.59583i 0.480275 0.0622594i
\(658\) −8.49280 −0.331084
\(659\) −34.9152 −1.36010 −0.680051 0.733165i \(-0.738042\pi\)
−0.680051 + 0.733165i \(0.738042\pi\)
\(660\) −0.259957 4.02744i −0.0101188 0.156768i
\(661\) 12.1794 21.0954i 0.473725 0.820515i −0.525823 0.850594i \(-0.676243\pi\)
0.999548 + 0.0300790i \(0.00957589\pi\)
\(662\) −5.56671 −0.216356
\(663\) −2.50968 38.8818i −0.0974677 1.51004i
\(664\) 4.13103 7.15515i 0.160315 0.277674i
\(665\) −19.8269 19.9828i −0.768854 0.774899i
\(666\) −1.26645 + 3.04039i −0.0490739 + 0.117813i
\(667\) −4.64881 + 8.05198i −0.180003 + 0.311774i
\(668\) −4.37872 7.58416i −0.169418 0.293440i
\(669\) −3.23979 50.1933i −0.125258 1.94059i
\(670\) 0.388098 0.0149935
\(671\) −1.13634 + 1.96819i −0.0438678 + 0.0759812i
\(672\) −0.861113 13.3410i −0.0332181 0.514641i
\(673\) −7.88496 + 13.6572i −0.303943 + 0.526445i −0.977025 0.213123i \(-0.931637\pi\)
0.673083 + 0.739567i \(0.264970\pi\)
\(674\) 1.97718 + 3.42458i 0.0761583 + 0.131910i
\(675\) −1.36655 6.97871i −0.0525987 0.268611i
\(676\) −1.20573 −0.0463744
\(677\) −19.7783 + 34.2569i −0.760140 + 1.31660i 0.182638 + 0.983180i \(0.441536\pi\)
−0.942778 + 0.333421i \(0.891797\pi\)
\(678\) 2.77042 1.84716i 0.106397 0.0709396i
\(679\) −49.7718 −1.91007
\(680\) 4.48098 7.76128i 0.171838 0.297632i
\(681\) −33.2861 + 22.1933i −1.27552 + 0.850447i
\(682\) 0.110424 + 0.191260i 0.00422836 + 0.00732374i
\(683\) 4.78389 0.183051 0.0915253 0.995803i \(-0.470826\pi\)
0.0915253 + 0.995803i \(0.470826\pi\)
\(684\) −3.49907 + 25.4180i −0.133790 + 0.971882i
\(685\) 32.4625 1.24033
\(686\) 0.829781 + 1.43722i 0.0316812 + 0.0548734i
\(687\) −0.433177 6.71110i −0.0165267 0.256044i
\(688\) −9.61310 + 16.6504i −0.366496 + 0.634789i
\(689\) −14.2482 −0.542814
\(690\) −4.52141 2.23530i −0.172127 0.0850964i
\(691\) 8.12539 14.0736i 0.309104 0.535384i −0.669062 0.743206i \(-0.733304\pi\)
0.978167 + 0.207822i \(0.0666375\pi\)
\(692\) −23.5570 −0.895504
\(693\) −2.43619 + 5.84859i −0.0925430 + 0.222170i
\(694\) −3.48109 6.02943i −0.132140 0.228874i
\(695\) 2.15538 3.73323i 0.0817583 0.141610i
\(696\) −1.41880 0.701428i −0.0537795 0.0265876i
\(697\) 12.3041 21.3114i 0.466052 0.807225i
\(698\) −0.759192 −0.0287358
\(699\) −8.80644 + 5.87163i −0.333090 + 0.222086i
\(700\) 4.55004 + 7.88089i 0.171975 + 0.297870i
\(701\) −11.1768 + 19.3588i −0.422142 + 0.731171i −0.996149 0.0876795i \(-0.972055\pi\)
0.574007 + 0.818850i \(0.305388\pi\)
\(702\) −0.717323 3.66322i −0.0270736 0.138260i
\(703\) −6.45460 + 23.7170i −0.243440 + 0.894505i
\(704\) 2.21371 3.83426i 0.0834323 0.144509i
\(705\) 38.0853 + 18.8286i 1.43437 + 0.709127i
\(706\) 1.94791 0.0733106
\(707\) 14.4673 25.0581i 0.544098 0.942406i
\(708\) 24.0468 16.0330i 0.903733 0.602558i
\(709\) −16.7749 −0.629993 −0.314996 0.949093i \(-0.602003\pi\)
−0.314996 + 0.949093i \(0.602003\pi\)
\(710\) −1.15971 −0.0435231
\(711\) −18.8428 + 45.2362i −0.706660 + 1.69649i
\(712\) −4.05181 7.01795i −0.151848 0.263009i
\(713\) −14.2868 −0.535046
\(714\) −5.79688 + 3.86503i −0.216943 + 0.144645i
\(715\) 2.19090 + 3.79475i 0.0819350 + 0.141916i
\(716\) 19.6331 34.0055i 0.733722 1.27084i
\(717\) −2.14435 33.2219i −0.0800822 1.24069i
\(718\) 0.879207 0.0328117
\(719\) −24.2869 + 42.0661i −0.905747 + 1.56880i −0.0858361 + 0.996309i \(0.527356\pi\)
−0.819911 + 0.572491i \(0.805977\pi\)
\(720\) −8.29620 + 19.9168i −0.309181 + 0.742256i
\(721\) 45.3882 1.69034
\(722\) 0.0289680 3.69906i 0.00107808 0.137665i
\(723\) 16.5732 + 8.19345i 0.616363 + 0.304718i
\(724\) −23.7223 −0.881631
\(725\) 1.62118 0.0602091
\(726\) −2.97734 + 1.98512i −0.110500 + 0.0736749i
\(727\) −15.7902 27.3495i −0.585627 1.01434i −0.994797 0.101877i \(-0.967515\pi\)
0.409170 0.912458i \(-0.365818\pi\)
\(728\) 4.82290 + 8.35350i 0.178748 + 0.309601i
\(729\) −25.0059 + 10.1837i −0.926143 + 0.377172i
\(730\) −1.53519 −0.0568198
\(731\) 31.0583 1.14873
\(732\) 10.3119 6.87540i 0.381139 0.254122i
\(733\) −17.0488 29.5294i −0.629712 1.09069i −0.987609 0.156932i \(-0.949840\pi\)
0.357898 0.933761i \(-0.383494\pi\)
\(734\) −2.28634 3.96007i −0.0843905 0.146169i
\(735\) 0.953469 + 14.7719i 0.0351692 + 0.544868i
\(736\) −8.93810 15.4812i −0.329463 0.570646i
\(737\) −0.325936 0.564538i −0.0120060 0.0207950i
\(738\) 0.906529 2.17632i 0.0333698 0.0801115i
\(739\) 16.0360 27.7752i 0.589894 1.02173i −0.404352 0.914603i \(-0.632503\pi\)
0.994246 0.107123i \(-0.0341637\pi\)
\(740\) −10.5421 + 18.2595i −0.387536 + 0.671233i
\(741\) −8.82484 26.4225i −0.324189 0.970656i
\(742\) 1.27392 + 2.20649i 0.0467670 + 0.0810028i
\(743\) −19.2215 −0.705170 −0.352585 0.935780i \(-0.614697\pi\)
−0.352585 + 0.935780i \(0.614697\pi\)
\(744\) −0.156652 2.42697i −0.00574314 0.0889771i
\(745\) −4.58360 −0.167930
\(746\) 2.37560 4.11465i 0.0869768 0.150648i
\(747\) 31.8650 4.13075i 1.16588 0.151136i
\(748\) −7.45452 −0.272564
\(749\) 17.2739 29.9192i 0.631174 1.09323i
\(750\) 0.263610 + 4.08404i 0.00962566 + 0.149128i
\(751\) −11.1484 + 19.3096i −0.406811 + 0.704618i −0.994530 0.104447i \(-0.966693\pi\)
0.587719 + 0.809065i \(0.300026\pi\)
\(752\) 24.2891 + 42.0700i 0.885732 + 1.53413i
\(753\) 2.01824 + 31.2681i 0.0735489 + 1.13947i
\(754\) 0.850980 0.0309909
\(755\) −7.36171 + 12.7509i −0.267920 + 0.464051i
\(756\) 26.0447 22.7037i 0.947236 0.825725i
\(757\) 12.7479 22.0801i 0.463331 0.802513i −0.535793 0.844349i \(-0.679987\pi\)
0.999124 + 0.0418359i \(0.0133207\pi\)
\(758\) −1.72418 2.98637i −0.0626252 0.108470i
\(759\) 0.545691 + 8.45425i 0.0198073 + 0.306870i
\(760\) 1.68262 6.18268i 0.0610350 0.224269i
\(761\) 6.39108 + 11.0697i 0.231676 + 0.401275i 0.958302 0.285759i \(-0.0922456\pi\)
−0.726625 + 0.687034i \(0.758912\pi\)
\(762\) 2.42849 1.61918i 0.0879747 0.0586566i
\(763\) 3.20353 + 5.54868i 0.115976 + 0.200876i
\(764\) −2.64265 4.57721i −0.0956078 0.165598i
\(765\) 34.5644 4.48068i 1.24968 0.161999i
\(766\) 0.396763 + 0.687214i 0.0143356 + 0.0248301i
\(767\) −15.6896 + 27.1753i −0.566520 + 0.981242i
\(768\) −18.8107 + 12.5419i −0.678773 + 0.452568i
\(769\) −0.952422 + 1.64964i −0.0343452 + 0.0594877i −0.882687 0.469961i \(-0.844268\pi\)
0.848342 + 0.529449i \(0.177601\pi\)
\(770\) 0.391772 0.678570i 0.0141185 0.0244539i
\(771\) −33.6804 + 22.4562i −1.21297 + 0.808740i
\(772\) 12.2870 21.2817i 0.442218 0.765945i
\(773\) 16.8937 + 29.2607i 0.607623 + 1.05243i 0.991631 + 0.129104i \(0.0412102\pi\)
−0.384008 + 0.923330i \(0.625456\pi\)
\(774\) 2.95083 0.382524i