Properties

Label 74.2.f.b.53.1
Level $74$
Weight $2$
Character 74.53
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 53.1
Root \(2.00752 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 74.53
Dual form 74.2.f.b.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(-2.04963 + 0.746005i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.326352 + 1.85083i) q^{5} +2.18117 q^{6} +(-0.711830 + 4.03699i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.34633 - 1.12971i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(-2.04963 + 0.746005i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.326352 + 1.85083i) q^{5} +2.18117 q^{6} +(-0.711830 + 4.03699i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.34633 - 1.12971i) q^{9} +(0.939693 - 1.62760i) q^{10} +(-1.67088 - 2.89404i) q^{11} +(-2.04963 - 0.746005i) q^{12} +(1.48512 + 1.24616i) q^{13} +(2.04963 - 3.55007i) q^{14} +(-0.711830 - 4.03699i) q^{15} +(0.173648 + 0.984808i) q^{16} +(3.40626 - 2.85819i) q^{17} +(-1.65152 + 0.601105i) q^{18} +(0.0932770 - 0.0339500i) q^{19} +(-1.43969 + 1.20805i) q^{20} +(-1.55262 - 8.80536i) q^{21} +(0.580289 + 3.29098i) q^{22} +(-4.76146 + 8.24709i) q^{23} +(1.67088 + 1.40203i) q^{24} +(1.37939 + 0.502055i) q^{25} +(-0.969343 - 1.67895i) q^{26} +(1.35504 - 2.34700i) q^{27} +(-3.14022 + 2.63496i) q^{28} +(-0.387288 - 0.670802i) q^{29} +(-0.711830 + 4.03699i) q^{30} +10.3914 q^{31} +(0.173648 - 0.984808i) q^{32} +(5.58365 + 4.68524i) q^{33} +(-4.17840 + 1.52081i) q^{34} +(-7.23948 - 2.63496i) q^{35} +1.75751 q^{36} +(-3.50302 + 4.97281i) q^{37} -0.0992633 q^{38} +(-3.97359 - 1.44627i) q^{39} +(1.76604 - 0.642788i) q^{40} +(4.36218 + 3.66031i) q^{41} +(-1.55262 + 8.80536i) q^{42} -1.11986 q^{43} +(0.580289 - 3.29098i) q^{44} +(1.65152 + 2.86052i) q^{45} +(7.29498 - 6.12122i) q^{46} +(3.55724 - 6.16132i) q^{47} +(-1.09059 - 1.88895i) q^{48} +(-9.21271 - 3.35315i) q^{49} +(-1.12449 - 0.943555i) q^{50} +(-4.84936 + 8.39933i) q^{51} +(0.336649 + 1.90923i) q^{52} +(0.142188 + 0.806388i) q^{53} +(-2.07604 + 1.74200i) q^{54} +(5.90168 - 2.14804i) q^{55} +(3.85205 - 1.40203i) q^{56} +(-0.165857 + 0.139170i) q^{57} +(0.134504 + 0.762808i) q^{58} +(1.40642 + 7.97622i) q^{59} +(2.04963 - 3.55007i) q^{60} +(-8.19737 - 6.87841i) q^{61} +(-9.76476 - 3.55408i) q^{62} +(3.60225 + 6.23929i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.79111 + 2.34202i) q^{65} +(-3.64447 - 6.31240i) q^{66} +(2.28630 - 12.9663i) q^{67} +4.44656 q^{68} +(3.60687 - 20.4556i) q^{69} +(5.90168 + 4.95210i) q^{70} +(2.79386 - 1.01688i) q^{71} +(-1.65152 - 0.601105i) q^{72} -2.55740 q^{73} +(4.99257 - 3.47481i) q^{74} -3.20177 q^{75} +(0.0932770 + 0.0339500i) q^{76} +(12.8726 - 4.68524i) q^{77} +(3.23930 + 2.71810i) q^{78} +(-0.943888 + 5.35305i) q^{79} -1.87939 q^{80} +(-1.94203 + 11.0138i) q^{81} +(-2.84721 - 4.93152i) q^{82} +(0.504249 - 0.423115i) q^{83} +(4.47060 - 7.74331i) q^{84} +(4.17840 + 7.23720i) q^{85} +(1.05232 + 0.383014i) q^{86} +(1.29422 + 1.08598i) q^{87} +(-1.67088 + 2.89404i) q^{88} +(0.612149 + 3.47167i) q^{89} +(-0.573568 - 3.25286i) q^{90} +(-6.08790 + 5.10835i) q^{91} +(-8.94862 + 3.25703i) q^{92} +(-21.2986 + 7.75206i) q^{93} +(-5.45001 + 4.57310i) q^{94} +(0.0323948 + 0.183720i) q^{95} +(0.378757 + 2.14804i) q^{96} +(-1.81012 + 3.13522i) q^{97} +(7.51027 + 6.30186i) q^{98} +(-5.51897 - 2.00874i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9} + 3 q^{11} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} - 3 q^{17} + 6 q^{18} - 3 q^{19} - 6 q^{20} - 33 q^{21} - 3 q^{22} - 21 q^{23} - 3 q^{24} - 6 q^{25} + 3 q^{27} - 3 q^{28} + 6 q^{29} + 6 q^{30} + 42 q^{31} + 57 q^{33} - 3 q^{34} - 9 q^{35} + 24 q^{36} - 3 q^{37} + 42 q^{38} - 24 q^{39} + 12 q^{40} - 21 q^{41} - 33 q^{42} + 36 q^{43} - 3 q^{44} - 6 q^{45} + 3 q^{46} + 9 q^{47} - 12 q^{49} + 12 q^{50} + 3 q^{52} - 6 q^{53} - 27 q^{54} - 3 q^{56} - 36 q^{57} - 3 q^{58} - 6 q^{59} + 3 q^{60} - 18 q^{61} - 33 q^{62} + 36 q^{63} - 6 q^{64} + 3 q^{65} + 3 q^{66} - 27 q^{67} + 6 q^{68} - 12 q^{69} - 18 q^{71} + 6 q^{72} + 54 q^{73} + 3 q^{74} - 6 q^{75} - 3 q^{76} + 51 q^{77} - 33 q^{78} - 12 q^{79} - 36 q^{81} - 18 q^{82} - 6 q^{83} - 6 q^{84} + 3 q^{85} + 39 q^{87} + 3 q^{88} - 15 q^{89} - 15 q^{90} - 51 q^{91} - 6 q^{92} + 45 q^{93} - 12 q^{94} - 15 q^{95} + 6 q^{96} - 42 q^{97} + 51 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) −2.04963 + 0.746005i −1.18336 + 0.430706i −0.857386 0.514674i \(-0.827913\pi\)
−0.325970 + 0.945380i \(0.605691\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.326352 + 1.85083i −0.145949 + 0.827718i 0.820651 + 0.571429i \(0.193611\pi\)
−0.966600 + 0.256289i \(0.917500\pi\)
\(6\) 2.18117 0.890460
\(7\) −0.711830 + 4.03699i −0.269046 + 1.52584i 0.488214 + 0.872724i \(0.337649\pi\)
−0.757260 + 0.653113i \(0.773463\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 1.34633 1.12971i 0.448778 0.376569i
\(10\) 0.939693 1.62760i 0.297157 0.514691i
\(11\) −1.67088 2.89404i −0.503788 0.872586i −0.999990 0.00437929i \(-0.998606\pi\)
0.496203 0.868207i \(-0.334727\pi\)
\(12\) −2.04963 0.746005i −0.591678 0.215353i
\(13\) 1.48512 + 1.24616i 0.411898 + 0.345623i 0.825071 0.565029i \(-0.191135\pi\)
−0.413173 + 0.910653i \(0.635580\pi\)
\(14\) 2.04963 3.55007i 0.547787 0.948795i
\(15\) −0.711830 4.03699i −0.183794 1.04235i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 3.40626 2.85819i 0.826140 0.693214i −0.128261 0.991740i \(-0.540940\pi\)
0.954401 + 0.298527i \(0.0964952\pi\)
\(18\) −1.65152 + 0.601105i −0.389268 + 0.141682i
\(19\) 0.0932770 0.0339500i 0.0213992 0.00778868i −0.331298 0.943526i \(-0.607487\pi\)
0.352698 + 0.935737i \(0.385264\pi\)
\(20\) −1.43969 + 1.20805i −0.321925 + 0.270127i
\(21\) −1.55262 8.80536i −0.338810 1.92149i
\(22\) 0.580289 + 3.29098i 0.123718 + 0.701640i
\(23\) −4.76146 + 8.24709i −0.992833 + 1.71964i −0.392920 + 0.919573i \(0.628535\pi\)
−0.599913 + 0.800065i \(0.704798\pi\)
\(24\) 1.67088 + 1.40203i 0.341066 + 0.286188i
\(25\) 1.37939 + 0.502055i 0.275877 + 0.100411i
\(26\) −0.969343 1.67895i −0.190104 0.329269i
\(27\) 1.35504 2.34700i 0.260777 0.451680i
\(28\) −3.14022 + 2.63496i −0.593445 + 0.497960i
\(29\) −0.387288 0.670802i −0.0719175 0.124565i 0.827824 0.560988i \(-0.189579\pi\)
−0.899742 + 0.436423i \(0.856245\pi\)
\(30\) −0.711830 + 4.03699i −0.129962 + 0.737049i
\(31\) 10.3914 1.86636 0.933179 0.359413i \(-0.117023\pi\)
0.933179 + 0.359413i \(0.117023\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) 5.58365 + 4.68524i 0.971988 + 0.815595i
\(34\) −4.17840 + 1.52081i −0.716590 + 0.260817i
\(35\) −7.23948 2.63496i −1.22370 0.445389i
\(36\) 1.75751 0.292919
\(37\) −3.50302 + 4.97281i −0.575894 + 0.817525i
\(38\) −0.0992633 −0.0161026
\(39\) −3.97359 1.44627i −0.636284 0.231588i
\(40\) 1.76604 0.642788i 0.279236 0.101634i
\(41\) 4.36218 + 3.66031i 0.681259 + 0.571644i 0.916374 0.400324i \(-0.131102\pi\)
−0.235115 + 0.971968i \(0.575547\pi\)
\(42\) −1.55262 + 8.80536i −0.239575 + 1.35870i
\(43\) −1.11986 −0.170777 −0.0853884 0.996348i \(-0.527213\pi\)
−0.0853884 + 0.996348i \(0.527213\pi\)
\(44\) 0.580289 3.29098i 0.0874818 0.496134i
\(45\) 1.65152 + 2.86052i 0.246194 + 0.426421i
\(46\) 7.29498 6.12122i 1.07559 0.902524i
\(47\) 3.55724 6.16132i 0.518877 0.898721i −0.480883 0.876785i \(-0.659684\pi\)
0.999759 0.0219357i \(-0.00698290\pi\)
\(48\) −1.09059 1.88895i −0.157413 0.272647i
\(49\) −9.21271 3.35315i −1.31610 0.479022i
\(50\) −1.12449 0.943555i −0.159026 0.133439i
\(51\) −4.84936 + 8.39933i −0.679046 + 1.17614i
\(52\) 0.336649 + 1.90923i 0.0466848 + 0.264763i
\(53\) 0.142188 + 0.806388i 0.0195310 + 0.110766i 0.993015 0.117990i \(-0.0376452\pi\)
−0.973484 + 0.228756i \(0.926534\pi\)
\(54\) −2.07604 + 1.74200i −0.282513 + 0.237057i
\(55\) 5.90168 2.14804i 0.795782 0.289641i
\(56\) 3.85205 1.40203i 0.514751 0.187354i
\(57\) −0.165857 + 0.139170i −0.0219682 + 0.0184335i
\(58\) 0.134504 + 0.762808i 0.0176612 + 0.100162i
\(59\) 1.40642 + 7.97622i 0.183101 + 1.03842i 0.928372 + 0.371653i \(0.121209\pi\)
−0.745271 + 0.666762i \(0.767680\pi\)
\(60\) 2.04963 3.55007i 0.264606 0.458312i
\(61\) −8.19737 6.87841i −1.04957 0.880691i −0.0565183 0.998402i \(-0.518000\pi\)
−0.993048 + 0.117711i \(0.962444\pi\)
\(62\) −9.76476 3.55408i −1.24013 0.451369i
\(63\) 3.60225 + 6.23929i 0.453841 + 0.786076i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.79111 + 2.34202i −0.346195 + 0.290492i
\(66\) −3.64447 6.31240i −0.448603 0.777003i
\(67\) 2.28630 12.9663i 0.279317 1.58408i −0.445591 0.895237i \(-0.647006\pi\)
0.724907 0.688846i \(-0.241883\pi\)
\(68\) 4.44656 0.539225
\(69\) 3.60687 20.4556i 0.434216 2.46256i
\(70\) 5.90168 + 4.95210i 0.705386 + 0.591889i
\(71\) 2.79386 1.01688i 0.331570 0.120682i −0.170870 0.985294i \(-0.554658\pi\)
0.502440 + 0.864612i \(0.332436\pi\)
\(72\) −1.65152 0.601105i −0.194634 0.0708409i
\(73\) −2.55740 −0.299321 −0.149660 0.988737i \(-0.547818\pi\)
−0.149660 + 0.988737i \(0.547818\pi\)
\(74\) 4.99257 3.47481i 0.580374 0.403938i
\(75\) −3.20177 −0.369708
\(76\) 0.0932770 + 0.0339500i 0.0106996 + 0.00389434i
\(77\) 12.8726 4.68524i 1.46697 0.533932i
\(78\) 3.23930 + 2.71810i 0.366779 + 0.307764i
\(79\) −0.943888 + 5.35305i −0.106196 + 0.602265i 0.884540 + 0.466464i \(0.154472\pi\)
−0.990736 + 0.135802i \(0.956639\pi\)
\(80\) −1.87939 −0.210122
\(81\) −1.94203 + 11.0138i −0.215781 + 1.22375i
\(82\) −2.84721 4.93152i −0.314422 0.544595i
\(83\) 0.504249 0.423115i 0.0553485 0.0464429i −0.614694 0.788766i \(-0.710720\pi\)
0.670042 + 0.742323i \(0.266276\pi\)
\(84\) 4.47060 7.74331i 0.487782 0.844864i
\(85\) 4.17840 + 7.23720i 0.453211 + 0.784985i
\(86\) 1.05232 + 0.383014i 0.113475 + 0.0413015i
\(87\) 1.29422 + 1.08598i 0.138755 + 0.116429i
\(88\) −1.67088 + 2.89404i −0.178116 + 0.308506i
\(89\) 0.612149 + 3.47167i 0.0648877 + 0.367996i 0.999910 + 0.0134078i \(0.00426798\pi\)
−0.935022 + 0.354589i \(0.884621\pi\)
\(90\) −0.573568 3.25286i −0.0604593 0.342882i
\(91\) −6.08790 + 5.10835i −0.638185 + 0.535501i
\(92\) −8.94862 + 3.25703i −0.932958 + 0.339569i
\(93\) −21.2986 + 7.75206i −2.20856 + 0.803852i
\(94\) −5.45001 + 4.57310i −0.562125 + 0.471679i
\(95\) 0.0323948 + 0.183720i 0.00332363 + 0.0188493i
\(96\) 0.378757 + 2.14804i 0.0386567 + 0.219233i
\(97\) −1.81012 + 3.13522i −0.183790 + 0.318334i −0.943168 0.332316i \(-0.892170\pi\)
0.759378 + 0.650650i \(0.225503\pi\)
\(98\) 7.51027 + 6.30186i 0.758652 + 0.636584i
\(99\) −5.51897 2.00874i −0.554678 0.201886i
\(100\) 0.733956 + 1.27125i 0.0733956 + 0.127125i
\(101\) −1.97406 + 3.41917i −0.196426 + 0.340220i −0.947367 0.320149i \(-0.896267\pi\)
0.750941 + 0.660369i \(0.229600\pi\)
\(102\) 7.42965 6.23421i 0.735645 0.617279i
\(103\) 0.989402 + 1.71369i 0.0974887 + 0.168855i 0.910645 0.413191i \(-0.135586\pi\)
−0.813156 + 0.582046i \(0.802252\pi\)
\(104\) 0.336649 1.90923i 0.0330112 0.187216i
\(105\) 16.8040 1.63990
\(106\) 0.142188 0.806388i 0.0138105 0.0783233i
\(107\) 6.31896 + 5.30224i 0.610877 + 0.512587i 0.894921 0.446225i \(-0.147232\pi\)
−0.284044 + 0.958811i \(0.591676\pi\)
\(108\) 2.54664 0.926901i 0.245051 0.0891911i
\(109\) 8.25476 + 3.00449i 0.790663 + 0.287778i 0.705612 0.708599i \(-0.250672\pi\)
0.0850513 + 0.996377i \(0.472895\pi\)
\(110\) −6.28044 −0.598816
\(111\) 3.47017 12.8057i 0.329374 1.21546i
\(112\) −4.09926 −0.387344
\(113\) −9.37522 3.41230i −0.881946 0.321002i −0.138951 0.990299i \(-0.544373\pi\)
−0.742995 + 0.669297i \(0.766595\pi\)
\(114\) 0.203453 0.0740509i 0.0190551 0.00693550i
\(115\) −13.7101 11.5041i −1.27847 1.07277i
\(116\) 0.134504 0.762808i 0.0124884 0.0708250i
\(117\) 3.40727 0.315002
\(118\) 1.40642 7.97622i 0.129472 0.734270i
\(119\) 9.11381 + 15.7856i 0.835462 + 1.44706i
\(120\) −3.14022 + 2.63496i −0.286661 + 0.240537i
\(121\) −0.0836467 + 0.144880i −0.00760425 + 0.0131709i
\(122\) 5.35046 + 9.26726i 0.484408 + 0.839018i
\(123\) −11.6715 4.24807i −1.05238 0.383036i
\(124\) 7.96030 + 6.67949i 0.714856 + 0.599836i
\(125\) −6.07785 + 10.5271i −0.543619 + 0.941576i
\(126\) −1.25105 7.09506i −0.111452 0.632078i
\(127\) −2.91336 16.5225i −0.258519 1.46613i −0.786876 0.617112i \(-0.788303\pi\)
0.528356 0.849023i \(-0.322808\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) 2.29530 0.835420i 0.202090 0.0735546i
\(130\) 3.42381 1.24616i 0.300288 0.109296i
\(131\) 1.07527 0.902259i 0.0939468 0.0788307i −0.594605 0.804018i \(-0.702691\pi\)
0.688551 + 0.725188i \(0.258247\pi\)
\(132\) 1.26571 + 7.17820i 0.110166 + 0.624782i
\(133\) 0.0706586 + 0.400725i 0.00612687 + 0.0347472i
\(134\) −6.58315 + 11.4024i −0.568698 + 0.985013i
\(135\) 3.90168 + 3.27390i 0.335803 + 0.281772i
\(136\) −4.17840 1.52081i −0.358295 0.130409i
\(137\) −6.20963 10.7554i −0.530525 0.918896i −0.999366 0.0356133i \(-0.988662\pi\)
0.468841 0.883283i \(-0.344672\pi\)
\(138\) −10.3856 + 17.9883i −0.884078 + 1.53127i
\(139\) 14.0949 11.8270i 1.19551 1.00315i 0.195766 0.980651i \(-0.437281\pi\)
0.999747 0.0225036i \(-0.00716372\pi\)
\(140\) −3.85205 6.67194i −0.325557 0.563882i
\(141\) −2.69466 + 15.2821i −0.226931 + 1.28699i
\(142\) −2.97316 −0.249502
\(143\) 1.12500 6.38018i 0.0940770 0.533537i
\(144\) 1.34633 + 1.12971i 0.112194 + 0.0941423i
\(145\) 1.36794 0.497888i 0.113601 0.0413473i
\(146\) 2.40317 + 0.874681i 0.198887 + 0.0723891i
\(147\) 21.3841 1.76373
\(148\) −5.87993 + 1.55769i −0.483327 + 0.128042i
\(149\) 12.4068 1.01640 0.508201 0.861238i \(-0.330311\pi\)
0.508201 + 0.861238i \(0.330311\pi\)
\(150\) 3.00868 + 1.09507i 0.245657 + 0.0894120i
\(151\) 11.7921 4.29198i 0.959628 0.349276i 0.185740 0.982599i \(-0.440532\pi\)
0.773888 + 0.633323i \(0.218309\pi\)
\(152\) −0.0760401 0.0638052i −0.00616767 0.00517529i
\(153\) 1.35704 7.69616i 0.109710 0.622198i
\(154\) −13.6987 −1.10387
\(155\) −3.39126 + 19.2328i −0.272393 + 1.54482i
\(156\) −2.11430 3.66208i −0.169280 0.293201i
\(157\) 2.69131 2.25828i 0.214790 0.180230i −0.529045 0.848594i \(-0.677450\pi\)
0.743834 + 0.668364i \(0.233005\pi\)
\(158\) 2.71782 4.70740i 0.216218 0.374500i
\(159\) −0.893002 1.54672i −0.0708197 0.122663i
\(160\) 1.76604 + 0.642788i 0.139618 + 0.0508168i
\(161\) −29.9041 25.0925i −2.35677 1.97756i
\(162\) 5.59184 9.68536i 0.439337 0.760954i
\(163\) −0.415269 2.35511i −0.0325264 0.184466i 0.964216 0.265118i \(-0.0854109\pi\)
−0.996742 + 0.0806519i \(0.974300\pi\)
\(164\) 0.988827 + 5.60792i 0.0772144 + 0.437905i
\(165\) −10.4938 + 8.80536i −0.816943 + 0.685497i
\(166\) −0.618553 + 0.225135i −0.0480090 + 0.0174738i
\(167\) 14.6442 5.33004i 1.13320 0.412451i 0.293746 0.955884i \(-0.405098\pi\)
0.839453 + 0.543433i \(0.182876\pi\)
\(168\) −6.84936 + 5.74729i −0.528439 + 0.443413i
\(169\) −1.60477 9.10110i −0.123444 0.700085i
\(170\) −1.45114 8.22984i −0.111298 0.631200i
\(171\) 0.0872283 0.151084i 0.00667051 0.0115537i
\(172\) −0.857861 0.719831i −0.0654113 0.0548866i
\(173\) 16.7991 + 6.11436i 1.27721 + 0.464866i 0.889508 0.456919i \(-0.151047\pi\)
0.387701 + 0.921785i \(0.373269\pi\)
\(174\) −0.844742 1.46314i −0.0640397 0.110920i
\(175\) −3.00868 + 5.21118i −0.227435 + 0.393928i
\(176\) 2.55993 2.14804i 0.192962 0.161914i
\(177\) −8.83294 15.2991i −0.663925 1.14995i
\(178\) 0.612149 3.47167i 0.0458825 0.260213i
\(179\) −20.4063 −1.52524 −0.762619 0.646848i \(-0.776087\pi\)
−0.762619 + 0.646848i \(0.776087\pi\)
\(180\) −0.573568 + 3.25286i −0.0427512 + 0.242454i
\(181\) −14.0006 11.7479i −1.04065 0.873212i −0.0485737 0.998820i \(-0.515468\pi\)
−0.992080 + 0.125607i \(0.959912\pi\)
\(182\) 7.46791 2.71810i 0.553558 0.201479i
\(183\) 21.9329 + 7.98293i 1.62133 + 0.590115i
\(184\) 9.52292 0.702039
\(185\) −8.06062 8.10640i −0.592629 0.595994i
\(186\) 22.6655 1.66192
\(187\) −13.9632 5.08218i −1.02109 0.371646i
\(188\) 6.68542 2.43329i 0.487584 0.177466i
\(189\) 8.51024 + 7.14094i 0.619029 + 0.519427i
\(190\) 0.0323948 0.183720i 0.00235016 0.0133284i
\(191\) 5.76567 0.417189 0.208595 0.978002i \(-0.433111\pi\)
0.208595 + 0.978002i \(0.433111\pi\)
\(192\) 0.378757 2.14804i 0.0273344 0.155021i
\(193\) 0.179712 + 0.311271i 0.0129360 + 0.0224057i 0.872421 0.488755i \(-0.162549\pi\)
−0.859485 + 0.511161i \(0.829216\pi\)
\(194\) 2.77327 2.32705i 0.199109 0.167072i
\(195\) 3.97359 6.88246i 0.284555 0.492863i
\(196\) −4.90198 8.49048i −0.350141 0.606463i
\(197\) −6.54591 2.38251i −0.466376 0.169747i 0.0981338 0.995173i \(-0.468713\pi\)
−0.564510 + 0.825426i \(0.690935\pi\)
\(198\) 4.49911 + 3.77520i 0.319738 + 0.268292i
\(199\) −5.58897 + 9.68037i −0.396191 + 0.686223i −0.993252 0.115972i \(-0.963002\pi\)
0.597061 + 0.802196i \(0.296335\pi\)
\(200\) −0.254900 1.44561i −0.0180242 0.102220i
\(201\) 4.98683 + 28.2817i 0.351744 + 1.99484i
\(202\) 3.02443 2.53780i 0.212798 0.178559i
\(203\) 2.98370 1.08598i 0.209415 0.0762208i
\(204\) −9.11381 + 3.31716i −0.638094 + 0.232247i
\(205\) −8.19823 + 6.87913i −0.572589 + 0.480459i
\(206\) −0.343616 1.94874i −0.0239408 0.135775i
\(207\) 2.90629 + 16.4824i 0.202001 + 1.14561i
\(208\) −0.969343 + 1.67895i −0.0672118 + 0.116414i
\(209\) −0.254107 0.213221i −0.0175770 0.0147488i
\(210\) −15.7906 5.74729i −1.08965 0.396601i
\(211\) 6.10513 + 10.5744i 0.420295 + 0.727972i 0.995968 0.0897080i \(-0.0285934\pi\)
−0.575673 + 0.817680i \(0.695260\pi\)
\(212\) −0.409414 + 0.709125i −0.0281187 + 0.0487029i
\(213\) −4.96778 + 4.16846i −0.340387 + 0.285618i
\(214\) −4.12441 7.14368i −0.281939 0.488332i
\(215\) 0.365468 2.07267i 0.0249247 0.141355i
\(216\) −2.71008 −0.184397
\(217\) −7.39693 + 41.9501i −0.502137 + 2.84776i
\(218\) −6.72934 5.64659i −0.455769 0.382435i
\(219\) 5.24172 1.90783i 0.354203 0.128919i
\(220\) 5.90168 + 2.14804i 0.397891 + 0.144821i
\(221\) 8.62048 0.579876
\(222\) −7.64070 + 10.8466i −0.512810 + 0.727973i
\(223\) −10.7545 −0.720177 −0.360088 0.932918i \(-0.617253\pi\)
−0.360088 + 0.932918i \(0.617253\pi\)
\(224\) 3.85205 + 1.40203i 0.257376 + 0.0936771i
\(225\) 2.42429 0.882369i 0.161619 0.0588246i
\(226\) 7.64275 + 6.41303i 0.508388 + 0.426588i
\(227\) −0.514913 + 2.92021i −0.0341759 + 0.193821i −0.997116 0.0758946i \(-0.975819\pi\)
0.962940 + 0.269716i \(0.0869298\pi\)
\(228\) −0.216510 −0.0143388
\(229\) −0.526610 + 2.98655i −0.0347994 + 0.197357i −0.997251 0.0740958i \(-0.976393\pi\)
0.962452 + 0.271453i \(0.0875041\pi\)
\(230\) 8.94862 + 15.4995i 0.590055 + 1.02200i
\(231\) −22.8888 + 19.2060i −1.50597 + 1.26366i
\(232\) −0.387288 + 0.670802i −0.0254267 + 0.0440403i
\(233\) 0.144403 + 0.250113i 0.00946016 + 0.0163855i 0.870717 0.491785i \(-0.163655\pi\)
−0.861257 + 0.508170i \(0.830322\pi\)
\(234\) −3.20178 1.16535i −0.209307 0.0761815i
\(235\) 10.2427 + 8.59461i 0.668157 + 0.560651i
\(236\) −4.04963 + 7.01417i −0.263609 + 0.456583i
\(237\) −2.05878 11.6759i −0.133732 0.758433i
\(238\) −3.16519 17.9507i −0.205169 1.16357i
\(239\) −3.85711 + 3.23650i −0.249496 + 0.209352i −0.758955 0.651143i \(-0.774290\pi\)
0.509460 + 0.860495i \(0.329845\pi\)
\(240\) 3.85205 1.40203i 0.248649 0.0905007i
\(241\) 16.3281 5.94293i 1.05178 0.382818i 0.242448 0.970164i \(-0.422050\pi\)
0.809336 + 0.587347i \(0.199827\pi\)
\(242\) 0.128154 0.107534i 0.00823807 0.00691256i
\(243\) −2.82410 16.0162i −0.181166 1.02744i
\(244\) −1.85819 10.5383i −0.118959 0.674648i
\(245\) 9.21271 15.9569i 0.588578 1.01945i
\(246\) 9.51468 + 7.98376i 0.606634 + 0.509026i
\(247\) 0.180835 + 0.0658185i 0.0115062 + 0.00418793i
\(248\) −5.19572 8.99925i −0.329928 0.571453i
\(249\) −0.717878 + 1.24340i −0.0454937 + 0.0787974i
\(250\) 9.31180 7.81353i 0.588930 0.494171i
\(251\) 0.877844 + 1.52047i 0.0554090 + 0.0959713i 0.892399 0.451246i \(-0.149020\pi\)
−0.836990 + 0.547218i \(0.815687\pi\)
\(252\) −1.25105 + 7.09506i −0.0788087 + 0.446947i
\(253\) 31.8232 2.00071
\(254\) −2.91336 + 16.5225i −0.182801 + 1.03671i
\(255\) −13.9632 11.7165i −0.874407 0.733715i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 11.9849 + 4.36215i 0.747598 + 0.272103i 0.687595 0.726095i \(-0.258667\pi\)
0.0600034 + 0.998198i \(0.480889\pi\)
\(258\) −2.44260 −0.152070
\(259\) −17.5816 17.6815i −1.09247 1.09867i
\(260\) −3.64354 −0.225963
\(261\) −1.27923 0.465601i −0.0791823 0.0288200i
\(262\) −1.31901 + 0.480082i −0.0814890 + 0.0296596i
\(263\) −20.1968 16.9472i −1.24539 1.04501i −0.997083 0.0763250i \(-0.975681\pi\)
−0.248307 0.968681i \(-0.579874\pi\)
\(264\) 1.26571 7.17820i 0.0778991 0.441788i
\(265\) −1.53889 −0.0945334
\(266\) 0.0706586 0.400725i 0.00433235 0.0245700i
\(267\) −3.84457 6.65898i −0.235284 0.407523i
\(268\) 10.0860 8.46314i 0.616099 0.516968i
\(269\) −6.80289 + 11.7829i −0.414779 + 0.718419i −0.995405 0.0957514i \(-0.969475\pi\)
0.580626 + 0.814171i \(0.302808\pi\)
\(270\) −2.54664 4.41091i −0.154984 0.268439i
\(271\) 4.05562 + 1.47612i 0.246361 + 0.0896682i 0.462249 0.886750i \(-0.347042\pi\)
−0.215888 + 0.976418i \(0.569265\pi\)
\(272\) 3.40626 + 2.85819i 0.206535 + 0.173303i
\(273\) 8.66709 15.0118i 0.524556 0.908558i
\(274\) 2.15658 + 12.2306i 0.130284 + 0.738877i
\(275\) −0.851812 4.83087i −0.0513662 0.291312i
\(276\) 15.9116 13.3514i 0.957767 0.803662i
\(277\) 3.28276 1.19483i 0.197242 0.0717902i −0.241510 0.970398i \(-0.577643\pi\)
0.438752 + 0.898608i \(0.355421\pi\)
\(278\) −17.2899 + 6.29302i −1.03698 + 0.377430i
\(279\) 13.9903 11.7393i 0.837580 0.702813i
\(280\) 1.33780 + 7.58705i 0.0799490 + 0.453413i
\(281\) −1.27419 7.22628i −0.0760116 0.431083i −0.998937 0.0461037i \(-0.985320\pi\)
0.922925 0.384980i \(-0.125792\pi\)
\(282\) 7.75895 13.4389i 0.462039 0.800275i
\(283\) 10.7268 + 9.00087i 0.637643 + 0.535046i 0.903294 0.429023i \(-0.141142\pi\)
−0.265650 + 0.964070i \(0.585587\pi\)
\(284\) 2.79386 + 1.01688i 0.165785 + 0.0603408i
\(285\) −0.203453 0.352391i −0.0120515 0.0208739i
\(286\) −3.23930 + 5.61063i −0.191544 + 0.331764i
\(287\) −17.8817 + 15.0046i −1.05553 + 0.885691i
\(288\) −0.878757 1.52205i −0.0517812 0.0896877i
\(289\) 0.481334 2.72978i 0.0283138 0.160575i
\(290\) −1.45573 −0.0854832
\(291\) 1.37119 7.77641i 0.0803807 0.455861i
\(292\) −1.95908 1.64386i −0.114646 0.0961998i
\(293\) 23.7505 8.64447i 1.38752 0.505015i 0.463070 0.886322i \(-0.346748\pi\)
0.924449 + 0.381306i \(0.124526\pi\)
\(294\) −20.0945 7.31380i −1.17194 0.426550i
\(295\) −15.2216 −0.886238
\(296\) 6.05809 + 0.547303i 0.352119 + 0.0318113i
\(297\) −9.05640 −0.525506
\(298\) −11.6586 4.24337i −0.675362 0.245812i
\(299\) −17.3486 + 6.31436i −1.00329 + 0.365169i
\(300\) −2.45270 2.05806i −0.141606 0.118822i
\(301\) 0.797148 4.52085i 0.0459469 0.260578i
\(302\) −12.5489 −0.722108
\(303\) 1.49537 8.48069i 0.0859070 0.487203i
\(304\) 0.0496317 + 0.0859645i 0.00284657 + 0.00493040i
\(305\) 15.4060 12.9272i 0.882146 0.740209i
\(306\) −3.90744 + 6.76789i −0.223374 + 0.386895i
\(307\) 12.2995 + 21.3034i 0.701972 + 1.21585i 0.967773 + 0.251823i \(0.0810301\pi\)
−0.265801 + 0.964028i \(0.585637\pi\)
\(308\) 12.8726 + 4.68524i 0.733483 + 0.266966i
\(309\) −3.30633 2.77434i −0.188091 0.157827i
\(310\) 9.76476 16.9131i 0.554601 0.960597i
\(311\) 0.904212 + 5.12804i 0.0512732 + 0.290785i 0.999653 0.0263531i \(-0.00838941\pi\)
−0.948380 + 0.317138i \(0.897278\pi\)
\(312\) 0.734290 + 4.16437i 0.0415710 + 0.235761i
\(313\) 5.54340 4.65147i 0.313332 0.262916i −0.472536 0.881311i \(-0.656661\pi\)
0.785867 + 0.618395i \(0.212217\pi\)
\(314\) −3.30138 + 1.20160i −0.186308 + 0.0678104i
\(315\) −12.7235 + 4.63097i −0.716887 + 0.260926i
\(316\) −4.16394 + 3.49396i −0.234240 + 0.196550i
\(317\) −2.31803 13.1462i −0.130194 0.738365i −0.978087 0.208198i \(-0.933240\pi\)
0.847893 0.530167i \(-0.177871\pi\)
\(318\) 0.310136 + 1.75887i 0.0173916 + 0.0986326i
\(319\) −1.29422 + 2.24165i −0.0724624 + 0.125508i
\(320\) −1.43969 1.20805i −0.0804813 0.0675318i
\(321\) −16.9070 6.15366i −0.943659 0.343464i
\(322\) 19.5185 + 33.8070i 1.08772 + 1.88399i
\(323\) 0.220690 0.382246i 0.0122795 0.0212688i
\(324\) −8.56720 + 7.18874i −0.475956 + 0.399374i
\(325\) 1.42291 + 2.46455i 0.0789288 + 0.136709i
\(326\) −0.415269 + 2.35511i −0.0229996 + 0.130437i
\(327\) −19.1606 −1.05958
\(328\) 0.988827 5.60792i 0.0545988 0.309645i
\(329\) 22.3410 + 18.7463i 1.23170 + 1.03352i
\(330\) 12.8726 4.68524i 0.708612 0.257914i
\(331\) 4.29733 + 1.56410i 0.236203 + 0.0859708i 0.457410 0.889256i \(-0.348777\pi\)
−0.221207 + 0.975227i \(0.571000\pi\)
\(332\) 0.658250 0.0361262
\(333\) 0.901584 + 10.6525i 0.0494065 + 0.583751i
\(334\) −15.5840 −0.852717
\(335\) 23.2523 + 8.46314i 1.27041 + 0.462391i
\(336\) 8.40198 3.05807i 0.458366 0.166831i
\(337\) 2.49218 + 2.09118i 0.135757 + 0.113914i 0.708138 0.706074i \(-0.249536\pi\)
−0.572380 + 0.819988i \(0.693980\pi\)
\(338\) −1.60477 + 9.10110i −0.0872879 + 0.495035i
\(339\) 21.7613 1.18191
\(340\) −1.45114 + 8.22984i −0.0786993 + 0.446326i
\(341\) −17.3628 30.0732i −0.940248 1.62856i
\(342\) −0.133641 + 0.112139i −0.00722650 + 0.00606376i
\(343\) 5.74708 9.95424i 0.310313 0.537479i
\(344\) 0.559929 + 0.969826i 0.0301894 + 0.0522895i
\(345\) 36.6827 + 13.3514i 1.97493 + 0.718817i
\(346\) −13.6947 11.4912i −0.736233 0.617773i
\(347\) −12.2387 + 21.1981i −0.657008 + 1.13797i 0.324379 + 0.945927i \(0.394845\pi\)
−0.981386 + 0.192044i \(0.938488\pi\)
\(348\) 0.293376 + 1.66382i 0.0157266 + 0.0891899i
\(349\) 0.990209 + 5.61576i 0.0530047 + 0.300604i 0.999773 0.0213116i \(-0.00678421\pi\)
−0.946768 + 0.321916i \(0.895673\pi\)
\(350\) 4.60956 3.86788i 0.246391 0.206747i
\(351\) 4.93713 1.79697i 0.263525 0.0959152i
\(352\) −3.14022 + 1.14295i −0.167374 + 0.0609192i
\(353\) 18.7175 15.7059i 0.996233 0.835939i 0.00977486 0.999952i \(-0.496889\pi\)
0.986458 + 0.164014i \(0.0524441\pi\)
\(354\) 3.06765 + 17.3975i 0.163044 + 0.924667i
\(355\) 0.970296 + 5.50282i 0.0514980 + 0.292059i
\(356\) −1.76261 + 3.05294i −0.0934184 + 0.161805i
\(357\) −30.4561 25.5557i −1.61191 1.35255i
\(358\) 19.1756 + 6.97936i 1.01346 + 0.368871i
\(359\) −9.35461 16.2027i −0.493717 0.855144i 0.506256 0.862383i \(-0.331029\pi\)
−0.999974 + 0.00723934i \(0.997696\pi\)
\(360\) 1.65152 2.86052i 0.0870429 0.150763i
\(361\) −14.5473 + 12.2066i −0.765647 + 0.642454i
\(362\) 9.13822 + 15.8279i 0.480294 + 0.831894i
\(363\) 0.0633635 0.359352i 0.00332572 0.0188611i
\(364\) −7.94718 −0.416546
\(365\) 0.834611 4.73331i 0.0436855 0.247753i
\(366\) −17.8799 15.0030i −0.934597 0.784220i
\(367\) −31.6892 + 11.5339i −1.65416 + 0.602067i −0.989430 0.145013i \(-0.953678\pi\)
−0.664735 + 0.747080i \(0.731455\pi\)
\(368\) −8.94862 3.25703i −0.466479 0.169784i
\(369\) 10.0080 0.520997
\(370\) 4.80196 + 10.3744i 0.249642 + 0.539340i
\(371\) −3.35659 −0.174265
\(372\) −21.2986 7.75206i −1.10428 0.401926i
\(373\) −29.5389 + 10.7513i −1.52947 + 0.556681i −0.963491 0.267740i \(-0.913723\pi\)
−0.565977 + 0.824421i \(0.691501\pi\)
\(374\) 11.3829 + 9.55137i 0.588595 + 0.493889i
\(375\) 4.60405 26.1109i 0.237752 1.34836i
\(376\) −7.11448 −0.366901
\(377\) 0.260760 1.47885i 0.0134298 0.0761644i
\(378\) −5.55466 9.62096i −0.285701 0.494849i
\(379\) 5.33697 4.47825i 0.274142 0.230032i −0.495343 0.868697i \(-0.664958\pi\)
0.769485 + 0.638665i \(0.220513\pi\)
\(380\) −0.0932770 + 0.161560i −0.00478501 + 0.00828788i
\(381\) 18.2972 + 31.6916i 0.937393 + 1.62361i
\(382\) −5.41796 1.97198i −0.277207 0.100895i
\(383\) −2.20412 1.84948i −0.112625 0.0945038i 0.584736 0.811224i \(-0.301198\pi\)
−0.697361 + 0.716720i \(0.745643\pi\)
\(384\) −1.09059 + 1.88895i −0.0556537 + 0.0963951i
\(385\) 4.47060 + 25.3540i 0.227843 + 1.29216i
\(386\) −0.0624134 0.353964i −0.00317676 0.0180163i
\(387\) −1.50770 + 1.26511i −0.0766408 + 0.0643093i
\(388\) −3.40192 + 1.23820i −0.172706 + 0.0628599i
\(389\) 11.0993 4.03981i 0.562756 0.204827i −0.0449488 0.998989i \(-0.514312\pi\)
0.607705 + 0.794163i \(0.292090\pi\)
\(390\) −6.08790 + 5.10835i −0.308273 + 0.258671i
\(391\) 7.35300 + 41.7009i 0.371857 + 2.10891i
\(392\) 1.70244 + 9.65502i 0.0859862 + 0.487652i
\(393\) −1.53082 + 2.65146i −0.0772196 + 0.133748i
\(394\) 5.33627 + 4.47766i 0.268837 + 0.225581i
\(395\) −9.59957 3.49396i −0.483007 0.175800i
\(396\) −2.93658 5.08631i −0.147569 0.255597i
\(397\) 15.6563 27.1174i 0.785765 1.36098i −0.142776 0.989755i \(-0.545603\pi\)
0.928541 0.371230i \(-0.121064\pi\)
\(398\) 8.56279 7.18504i 0.429214 0.360153i
\(399\) −0.443767 0.768626i −0.0222161 0.0384794i
\(400\) −0.254900 + 1.44561i −0.0127450 + 0.0722805i
\(401\) −14.0281 −0.700531 −0.350266 0.936650i \(-0.613909\pi\)
−0.350266 + 0.936650i \(0.613909\pi\)
\(402\) 4.98683 28.2817i 0.248720 1.41056i
\(403\) 15.4325 + 12.9494i 0.768749 + 0.645057i
\(404\) −3.71001 + 1.35033i −0.184580 + 0.0671817i
\(405\) −19.7509 7.18874i −0.981430 0.357211i
\(406\) −3.17519 −0.157582
\(407\) 20.2446 + 1.82895i 1.00349 + 0.0906577i
\(408\) 9.69871 0.480158
\(409\) 0.0761808 + 0.0277275i 0.00376690 + 0.00137104i 0.343903 0.939005i \(-0.388251\pi\)
−0.340136 + 0.940376i \(0.610473\pi\)
\(410\) 10.0566 3.66031i 0.496661 0.180770i
\(411\) 20.7510 + 17.4122i 1.02357 + 0.858880i
\(412\) −0.343616 + 1.94874i −0.0169287 + 0.0960076i
\(413\) −33.2010 −1.63372
\(414\) 2.90629 16.4824i 0.142836 0.810066i
\(415\) 0.618553 + 1.07136i 0.0303636 + 0.0525912i
\(416\) 1.48512 1.24616i 0.0728140 0.0610982i
\(417\) −20.0663 + 34.7559i −0.982652 + 1.70200i
\(418\) 0.165857 + 0.287272i 0.00811231 + 0.0140509i
\(419\) −4.35652 1.58564i −0.212830 0.0774637i 0.233405 0.972380i \(-0.425013\pi\)
−0.446235 + 0.894916i \(0.647235\pi\)
\(420\) 12.8726 + 10.8014i 0.628118 + 0.527053i
\(421\) 9.66110 16.7335i 0.470853 0.815542i −0.528591 0.848877i \(-0.677279\pi\)
0.999444 + 0.0333350i \(0.0106128\pi\)
\(422\) −2.12029 12.0248i −0.103214 0.585356i
\(423\) −2.17126 12.3138i −0.105570 0.598719i
\(424\) 0.627258 0.526332i 0.0304624 0.0255610i
\(425\) 6.13352 2.23242i 0.297519 0.108288i
\(426\) 6.09388 2.21799i 0.295250 0.107462i
\(427\) 33.6032 28.1964i 1.62617 1.36452i
\(428\) 1.43239 + 8.12350i 0.0692373 + 0.392664i
\(429\) 2.45381 + 13.9163i 0.118471 + 0.671884i
\(430\) −1.05232 + 1.82268i −0.0507475 + 0.0878972i
\(431\) 5.77729 + 4.84772i 0.278282 + 0.233507i 0.771237 0.636549i \(-0.219639\pi\)
−0.492954 + 0.870055i \(0.664083\pi\)
\(432\) 2.54664 + 0.926901i 0.122525 + 0.0445956i
\(433\) −14.9169 25.8369i −0.716863 1.24164i −0.962237 0.272214i \(-0.912244\pi\)
0.245374 0.969428i \(-0.421089\pi\)
\(434\) 21.2986 36.8903i 1.02237 1.77079i
\(435\) −2.43234 + 2.04097i −0.116622 + 0.0978571i
\(436\) 4.39227 + 7.60763i 0.210351 + 0.364339i
\(437\) −0.164146 + 0.930916i −0.00785215 + 0.0445317i
\(438\) −5.57812 −0.266533
\(439\) 3.81229 21.6206i 0.181951 1.03189i −0.747860 0.663856i \(-0.768919\pi\)
0.929811 0.368038i \(-0.119970\pi\)
\(440\) −4.81109 4.03699i −0.229360 0.192456i
\(441\) −16.1915 + 5.89321i −0.771022 + 0.280629i
\(442\) −8.10060 2.94838i −0.385306 0.140240i
\(443\) −34.6241 −1.64504 −0.822520 0.568736i \(-0.807433\pi\)
−0.822520 + 0.568736i \(0.807433\pi\)
\(444\) 10.8896 7.57915i 0.516800 0.359691i
\(445\) −6.62526 −0.314068
\(446\) 10.1060 + 3.67827i 0.478531 + 0.174171i
\(447\) −25.4293 + 9.25552i −1.20277 + 0.437771i
\(448\) −3.14022 2.63496i −0.148361 0.124490i
\(449\) −3.46279 + 19.6385i −0.163419 + 0.926796i 0.787260 + 0.616621i \(0.211499\pi\)
−0.950679 + 0.310175i \(0.899612\pi\)
\(450\) −2.57987 −0.121616
\(451\) 3.30441 18.7403i 0.155599 0.882444i
\(452\) −4.98845 8.64025i −0.234637 0.406403i
\(453\) −20.9676 + 17.5939i −0.985146 + 0.826635i
\(454\) 1.48263 2.56799i 0.0695834 0.120522i
\(455\) −7.46791 12.9348i −0.350101 0.606393i
\(456\) 0.203453 + 0.0740509i 0.00952757 + 0.00346775i
\(457\) 24.6964 + 20.7227i 1.15525 + 0.969368i 0.999829 0.0184812i \(-0.00588309\pi\)
0.155418 + 0.987849i \(0.450328\pi\)
\(458\) 1.51631 2.62633i 0.0708526 0.122720i
\(459\) −2.09255 11.8674i −0.0976719 0.553925i
\(460\) −3.10782 17.6253i −0.144903 0.821786i
\(461\) 5.61373 4.71048i 0.261458 0.219389i −0.502630 0.864502i \(-0.667634\pi\)
0.764087 + 0.645113i \(0.223190\pi\)
\(462\) 28.0773 10.2193i 1.30627 0.475445i
\(463\) −6.09514 + 2.21845i −0.283265 + 0.103100i −0.479745 0.877408i \(-0.659271\pi\)
0.196480 + 0.980508i \(0.437049\pi\)
\(464\) 0.593359 0.497888i 0.0275460 0.0231139i
\(465\) −7.39693 41.9501i −0.343025 1.94539i
\(466\) −0.0501507 0.284419i −0.00232318 0.0131754i
\(467\) 5.99288 10.3800i 0.277317 0.480328i −0.693400 0.720553i \(-0.743888\pi\)
0.970717 + 0.240225i \(0.0772214\pi\)
\(468\) 2.61012 + 2.19015i 0.120653 + 0.101240i
\(469\) 50.7172 + 18.4596i 2.34190 + 0.852383i
\(470\) −6.68542 11.5795i −0.308375 0.534122i
\(471\) −3.83151 + 6.63637i −0.176547 + 0.305788i
\(472\) 6.20440 5.20611i 0.285580 0.239630i
\(473\) 1.87114 + 3.24091i 0.0860352 + 0.149017i
\(474\) −2.05878 + 11.6759i −0.0945630 + 0.536293i
\(475\) 0.145710 0.00668562
\(476\) −3.16519 + 17.9507i −0.145076 + 0.822769i
\(477\) 1.10241 + 0.925036i 0.0504761 + 0.0423545i
\(478\) 4.73144 1.72210i 0.216411 0.0787672i
\(479\) −21.3237 7.76119i −0.974305 0.354618i −0.194681 0.980867i \(-0.562367\pi\)
−0.779623 + 0.626249i \(0.784590\pi\)
\(480\) −4.09926 −0.187105
\(481\) −11.3993 + 3.01988i −0.519765 + 0.137694i
\(482\) −17.3760 −0.791454
\(483\) 80.0114 + 29.1218i 3.64064 + 1.32509i
\(484\) −0.157204 + 0.0572177i −0.00714566 + 0.00260081i
\(485\) −5.21204 4.37342i −0.236666 0.198587i
\(486\) −2.82410 + 16.0162i −0.128104 + 0.726511i
\(487\) 12.3108 0.557856 0.278928 0.960312i \(-0.410021\pi\)
0.278928 + 0.960312i \(0.410021\pi\)
\(488\) −1.85819 + 10.5383i −0.0841165 + 0.477048i
\(489\) 2.60807 + 4.51731i 0.117941 + 0.204280i
\(490\) −14.1147 + 11.8436i −0.637637 + 0.535041i
\(491\) −0.575398 + 0.996619i −0.0259674 + 0.0449768i −0.878717 0.477343i \(-0.841600\pi\)
0.852750 + 0.522320i \(0.174933\pi\)
\(492\) −6.21026 10.7565i −0.279980 0.484940i
\(493\) −3.23649 1.17798i −0.145764 0.0530538i
\(494\) −0.147418 0.123698i −0.00663264 0.00556545i
\(495\) 5.51897 9.55914i 0.248059 0.429652i
\(496\) 1.80445 + 10.2336i 0.0810224 + 0.459501i
\(497\) 2.11638 + 12.0026i 0.0949327 + 0.538390i
\(498\) 1.09985 0.922887i 0.0492856 0.0413555i
\(499\) −26.2321 + 9.54769i −1.17431 + 0.427413i −0.854189 0.519963i \(-0.825946\pi\)
−0.320120 + 0.947377i \(0.603723\pi\)
\(500\) −11.4226 + 4.15749i −0.510835 + 0.185929i
\(501\) −26.0389 + 21.8492i −1.16333 + 0.976151i
\(502\) −0.304872 1.72902i −0.0136071 0.0771697i
\(503\) −2.84222 16.1191i −0.126728 0.718713i −0.980266 0.197682i \(-0.936659\pi\)
0.853538 0.521031i \(-0.174452\pi\)
\(504\) 3.60225 6.23929i 0.160457 0.277920i
\(505\) −5.68407 4.76950i −0.252938 0.212240i
\(506\) −29.9041 10.8842i −1.32940 0.483861i
\(507\) 10.0787 + 17.4567i 0.447609 + 0.775281i
\(508\) 8.38869 14.5296i 0.372188 0.644648i
\(509\) 3.32007 2.78587i 0.147159 0.123481i −0.566236 0.824243i \(-0.691601\pi\)
0.713395 + 0.700762i \(0.247156\pi\)
\(510\) 9.11381 + 15.7856i 0.403566 + 0.698997i
\(511\) 1.82043 10.3242i 0.0805311 0.456715i
\(512\) 1.00000 0.0441942
\(513\) 0.0467133 0.264924i 0.00206244 0.0116967i
\(514\) −9.77019 8.19816i −0.430944 0.361605i
\(515\) −3.49466 + 1.27195i −0.153993 + 0.0560488i
\(516\) 2.29530 + 0.835420i 0.101045 + 0.0367773i
\(517\) −23.7748 −1.04561
\(518\) 10.4739 + 22.6284i 0.460196 + 0.994234i
\(519\) −38.9932 −1.71161
\(520\) 3.42381 + 1.24616i 0.150144 + 0.0546479i
\(521\) −1.75997 + 0.640577i −0.0771057 + 0.0280642i −0.380285 0.924869i \(-0.624174\pi\)
0.303179 + 0.952934i \(0.401952\pi\)
\(522\) 1.04284 + 0.875044i 0.0456437 + 0.0382996i
\(523\) 6.43474 36.4932i 0.281371 1.59574i −0.436595 0.899658i \(-0.643816\pi\)
0.717966 0.696078i \(-0.245073\pi\)
\(524\) 1.40367 0.0613194
\(525\) 2.27911 12.9255i 0.0994686 0.564115i
\(526\) 13.1825 + 22.8328i 0.574786 + 0.995559i
\(527\) 35.3960 29.7007i 1.54187 1.29378i
\(528\) −3.64447 + 6.31240i −0.158605 + 0.274712i
\(529\) −33.8430 58.6178i −1.47144 2.54860i
\(530\) 1.44609 + 0.526332i 0.0628140 + 0.0228624i
\(531\) 10.9043 + 9.14980i 0.473207 + 0.397068i
\(532\) −0.203453 + 0.352391i −0.00882082 + 0.0152781i
\(533\) 1.91702 + 10.8720i 0.0830356 + 0.470918i
\(534\) 1.33520 + 7.57232i 0.0577799 + 0.327686i
\(535\) −11.8758 + 9.96494i −0.513434 + 0.430822i
\(536\) −12.3723 + 4.50314i −0.534401 + 0.194506i
\(537\) 41.8254 15.2232i 1.80490 0.656929i
\(538\) 10.4226 8.74563i 0.449352 0.377051i
\(539\) 5.68913 + 32.2646i 0.245048 + 1.38974i
\(540\) 0.884439 + 5.01590i 0.0380602 + 0.215850i
\(541\) −7.75312 + 13.4288i −0.333332 + 0.577349i −0.983163 0.182730i \(-0.941506\pi\)
0.649831 + 0.760079i \(0.274840\pi\)
\(542\) −3.30617 2.77421i −0.142012 0.119162i
\(543\) 37.4600 + 13.6343i 1.60756 + 0.585104i
\(544\) −2.22328 3.85083i −0.0953223 0.165103i
\(545\) −8.25476 + 14.2977i −0.353595 + 0.612445i
\(546\) −13.2787 + 11.1422i −0.568278 + 0.476842i
\(547\) 20.5925 + 35.6673i 0.880472 + 1.52502i 0.850817 + 0.525462i \(0.176107\pi\)
0.0296544 + 0.999560i \(0.490559\pi\)
\(548\) 2.15658 12.2306i 0.0921247 0.522465i
\(549\) −18.8070 −0.802663
\(550\) −0.851812 + 4.83087i −0.0363214 + 0.205989i
\(551\) −0.0588988 0.0494220i −0.00250917 0.00210545i
\(552\) −19.5185 + 7.10415i −0.830762 + 0.302373i
\(553\) −20.9383 7.62092i −0.890388 0.324075i
\(554\) −3.49344 −0.148422
\(555\) 22.5687 + 10.6019i 0.957989 + 0.450024i
\(556\) 18.3996 0.780315
\(557\) 11.4686 + 4.17423i 0.485940 + 0.176868i 0.573359 0.819304i \(-0.305640\pi\)
−0.0874196 + 0.996172i \(0.527862\pi\)
\(558\) −17.1617 + 6.24634i −0.726512 + 0.264429i
\(559\) −1.66312 1.39553i −0.0703426 0.0590245i
\(560\) 1.33780 7.58705i 0.0565325 0.320611i
\(561\) 32.4107 1.36838
\(562\) −1.27419 + 7.22628i −0.0537484 + 0.304822i
\(563\) 5.70965 + 9.88940i 0.240633 + 0.416788i 0.960895 0.276914i \(-0.0893117\pi\)
−0.720262 + 0.693702i \(0.755978\pi\)
\(564\) −11.8874 + 9.97471i −0.500550 + 0.420011i
\(565\) 9.37522 16.2384i 0.394418 0.683153i
\(566\) −7.00144 12.1268i −0.294292 0.509729i
\(567\) −43.0801 15.6799i −1.80919 0.658493i
\(568\) −2.27757 1.91111i −0.0955648 0.0801884i
\(569\) 11.1732 19.3526i 0.468406 0.811303i −0.530942 0.847408i \(-0.678162\pi\)
0.999348 + 0.0361049i \(0.0114951\pi\)
\(570\) 0.0706586 + 0.400725i 0.00295956 + 0.0167845i
\(571\) −2.29253 13.0016i −0.0959395 0.544100i −0.994455 0.105159i \(-0.966465\pi\)
0.898516 0.438941i \(-0.144646\pi\)
\(572\) 4.96290 4.16437i 0.207509 0.174121i
\(573\) −11.8175 + 4.30122i −0.493683 + 0.179686i
\(574\) 21.9352 7.98376i 0.915558 0.333236i
\(575\) −10.7084 + 8.98540i −0.446571 + 0.374717i
\(576\) 0.305189 + 1.73081i 0.0127162 + 0.0721172i
\(577\) 5.09708 + 28.9070i 0.212194 + 1.20341i 0.885709 + 0.464241i \(0.153673\pi\)
−0.673515 + 0.739174i \(0.735216\pi\)
\(578\) −1.38595 + 2.40053i −0.0576478 + 0.0998489i
\(579\) −0.600553 0.503924i −0.0249581 0.0209424i
\(580\) 1.36794 + 0.497888i 0.0568004 + 0.0206737i
\(581\) 1.34917 + 2.33683i 0.0559730 + 0.0969481i
\(582\) −3.94819 + 6.83846i −0.163658 + 0.283463i
\(583\) 2.09614 1.75887i 0.0868133 0.0728450i
\(584\) 1.27870 + 2.21477i 0.0529129 + 0.0916478i
\(585\) −1.11197 + 6.30628i −0.0459742 + 0.260733i
\(586\) −25.2747 −1.04409
\(587\) −3.68838 + 20.9178i −0.152236 + 0.863371i 0.809034 + 0.587762i \(0.199991\pi\)
−0.961270 + 0.275609i \(0.911120\pi\)
\(588\) 16.3812 + 13.7455i 0.675549 + 0.566853i
\(589\) 0.969282 0.352790i 0.0399386 0.0145365i
\(590\) 14.3037 + 5.20611i 0.588872 + 0.214332i
\(591\) 15.1941 0.625000
\(592\) −5.50555 2.58629i −0.226277 0.106296i
\(593\) 31.4119 1.28993 0.644965 0.764212i \(-0.276872\pi\)
0.644965 + 0.764212i \(0.276872\pi\)
\(594\) 8.51024 + 3.09747i 0.349179 + 0.127091i
\(595\) −32.1908 + 11.7165i −1.31969 + 0.480329i
\(596\) 9.50414 + 7.97492i 0.389305 + 0.326666i
\(597\) 4.23372 24.0106i 0.173274 0.982688i
\(598\) 18.4620 0.754965
\(599\) −3.52563 + 19.9949i −0.144053 + 0.816967i 0.824069 + 0.566490i \(0.191699\pi\)
−0.968122 + 0.250478i \(0.919412\pi\)
\(600\) 1.60088 + 2.77281i 0.0653558 + 0.113200i
\(601\) −34.1524 + 28.6573i −1.39311 + 1.16896i −0.429044 + 0.903284i \(0.641149\pi\)
−0.964063 + 0.265672i \(0.914406\pi\)
\(602\) −2.29530 + 3.97557i −0.0935493 + 0.162032i
\(603\) −11.5700 20.0398i −0.471166 0.816083i
\(604\) 11.7921 + 4.29198i 0.479814 + 0.174638i
\(605\) −0.240851 0.202098i −0.00979199 0.00821646i
\(606\) −4.30576 + 7.45779i −0.174910 + 0.302952i
\(607\) −3.49184 19.8032i −0.141730 0.803788i −0.969935 0.243364i \(-0.921749\pi\)
0.828205 0.560425i \(-0.189362\pi\)
\(608\) −0.0172369 0.0977553i −0.000699048 0.00396450i
\(609\) −5.30534 + 4.45171i −0.214983 + 0.180393i
\(610\) −18.8983 + 6.87841i −0.765169 + 0.278499i
\(611\) 12.9609 4.71739i 0.524343 0.190845i
\(612\) 5.98655 5.02331i 0.241992 0.203055i
\(613\) 5.59486 + 31.7300i 0.225974 + 1.28156i 0.860814 + 0.508920i \(0.169955\pi\)
−0.634839 + 0.772644i \(0.718934\pi\)
\(614\) −4.27159 24.2254i −0.172387 0.977656i
\(615\) 11.6715 20.2156i 0.470639 0.815172i
\(616\) −10.4938 8.80536i −0.422808 0.354778i
\(617\) −36.5834 13.3153i −1.47279 0.536052i −0.523934 0.851759i \(-0.675536\pi\)
−0.948857 + 0.315707i \(0.897758\pi\)
\(618\) 2.15806 + 3.73786i 0.0868097 + 0.150359i
\(619\) 13.1812 22.8305i 0.529796 0.917634i −0.469600 0.882879i \(-0.655602\pi\)
0.999396 0.0347545i \(-0.0110649\pi\)
\(620\) −14.9605 + 12.5533i −0.600827 + 0.504154i
\(621\) 12.9039 + 22.3503i 0.517817 + 0.896885i
\(622\) 0.904212 5.12804i 0.0362556 0.205616i
\(623\) −14.4508 −0.578961
\(624\) 0.734290 4.16437i 0.0293951 0.166708i
\(625\) −11.8780 9.96686i −0.475122 0.398674i
\(626\) −6.79999 + 2.47499i −0.271782 + 0.0989206i
\(627\) 0.679890 + 0.247460i 0.0271522 + 0.00988259i
\(628\) 3.51326 0.140194
\(629\) 2.28103 + 26.9510i 0.0909507 + 1.07461i
\(630\) 13.5400 0.539448
\(631\) −38.8218 14.1300i −1.54547 0.562506i −0.578122 0.815950i \(-0.696214\pi\)
−0.967350 + 0.253445i \(0.918436\pi\)
\(632\) 5.10782 1.85910i 0.203178 0.0739509i
\(633\) −20.4018 17.1192i −0.810900 0.680426i
\(634\) −2.31803 + 13.1462i −0.0920608 + 0.522103i
\(635\) 31.5312 1.25128
\(636\) 0.310136 1.75887i 0.0122977 0.0697438i
\(637\) −9.50340 16.4604i −0.376538 0.652184i
\(638\) 1.98286 1.66382i 0.0785021 0.0658711i
\(639\) 2.61268 4.52530i 0.103356 0.179018i
\(640\) 0.939693 + 1.62760i 0.0371446 + 0.0643364i
\(641\) 41.1013 + 14.9596i 1.62340 + 0.590871i 0.984026 0.178023i \(-0.0569701\pi\)
0.639377 + 0.768893i \(0.279192\pi\)
\(642\) 13.7827 + 11.5651i 0.543961 + 0.456438i
\(643\) 1.65777 2.87133i 0.0653759 0.113234i −0.831485 0.555548i \(-0.812509\pi\)
0.896861 + 0.442313i \(0.145842\pi\)
\(644\) −6.77870 38.4439i −0.267118 1.51490i
\(645\) 0.797148 + 4.52085i 0.0313877 + 0.178008i
\(646\) −0.338117 + 0.283714i −0.0133030 + 0.0111626i
\(647\) 21.4630 7.81189i 0.843797 0.307117i 0.116288 0.993216i \(-0.462900\pi\)
0.727509 + 0.686099i \(0.240678\pi\)
\(648\) 10.5092 3.82505i 0.412841 0.150262i
\(649\) 20.7335 17.3975i 0.813863 0.682912i
\(650\) −0.494171 2.80258i −0.0193830 0.109926i
\(651\) −16.1340 91.5004i −0.632341 3.58618i
\(652\) 1.19572 2.07105i 0.0468280 0.0811084i
\(653\) 1.62966 + 1.36745i 0.0637735 + 0.0535124i 0.674117 0.738624i \(-0.264524\pi\)
−0.610344 + 0.792137i \(0.708969\pi\)
\(654\) 18.0051 + 6.55331i 0.704054 + 0.256255i
\(655\) 1.31901 + 2.28460i 0.0515382 + 0.0892667i
\(656\) −2.84721 + 4.93152i −0.111165 + 0.192543i
\(657\) −3.44311 + 2.88911i −0.134328 + 0.112715i
\(658\) −14.5821 25.2569i −0.568468 0.984615i
\(659\) −1.48751 + 8.43610i −0.0579452 + 0.328624i −0.999976 0.00690225i \(-0.997803\pi\)
0.942031 + 0.335526i \(0.108914\pi\)
\(660\) −13.6987 −0.533222
\(661\) 0.139199 0.789436i 0.00541421 0.0307055i −0.981981 0.188980i \(-0.939482\pi\)
0.987395 + 0.158274i \(0.0505930\pi\)
\(662\) −3.50322 2.93955i −0.136156 0.114249i
\(663\) −17.6688 + 6.43092i −0.686200 + 0.249756i
\(664\) −0.618553 0.225135i −0.0240045 0.00873692i
\(665\) −0.764734 −0.0296551
\(666\) 2.79614 10.3184i 0.108348 0.399829i
\(667\) 7.37622 0.285609
\(668\) 14.6442 + 5.33004i 0.566599 + 0.206225i
\(669\) 22.0428 8.02294i 0.852225 0.310185i
\(670\) −18.9554 15.9055i −0.732312 0.614483i
\(671\) −6.20962 + 35.2165i −0.239720 + 1.35952i
\(672\) −8.94120 −0.344914
\(673\) 7.47353 42.3845i 0.288083 1.63380i −0.405976 0.913884i \(-0.633068\pi\)
0.694059 0.719918i \(-0.255821\pi\)
\(674\) −1.62665 2.81744i −0.0626563 0.108524i
\(675\) 3.04744 2.55711i 0.117296 0.0984231i
\(676\) 4.62075 8.00337i 0.177721 0.307822i
\(677\) −9.99716 17.3156i −0.384222 0.665492i 0.607439 0.794367i \(-0.292197\pi\)
−0.991661 + 0.128874i \(0.958864\pi\)
\(678\) −20.4490 7.44281i −0.785338 0.285840i
\(679\) −11.3684 9.53918i −0.436277 0.366080i
\(680\) 4.17840 7.23720i 0.160234 0.277534i
\(681\) −1.12311 6.36949i −0.0430378 0.244079i
\(682\) 6.03003 + 34.1980i 0.230902 + 1.30951i
\(683\) 28.2126 23.6732i 1.07953 0.905830i 0.0836451 0.996496i \(-0.473344\pi\)
0.995881 + 0.0906653i \(0.0288993\pi\)
\(684\) 0.163936 0.0596677i 0.00626823 0.00228145i
\(685\) 21.9330 7.98295i 0.838016 0.305013i
\(686\) −8.80504 + 7.38831i −0.336178 + 0.282087i
\(687\) −1.14863 6.51419i −0.0438228 0.248532i
\(688\) −0.194461 1.10284i −0.00741377 0.0420456i
\(689\) −0.793725 + 1.37477i −0.0302385 + 0.0523746i
\(690\) −29.9041 25.0925i −1.13843 0.955254i
\(691\) −0.825837 0.300580i −0.0314163 0.0114346i 0.326264 0.945279i \(-0.394210\pi\)
−0.357681 + 0.933844i \(0.616432\pi\)
\(692\) 8.93860 + 15.4821i 0.339794 + 0.588541i
\(693\) 12.0378 20.8501i 0.457280 0.792031i
\(694\) 18.7508 15.7338i 0.711770 0.597246i
\(695\) 17.2899 + 29.9471i 0.655845 + 1.13596i
\(696\) 0.293376 1.66382i 0.0111204 0.0630668i
\(697\) 25.3206 0.959087
\(698\) 0.990209 5.61576i 0.0374800 0.212559i
\(699\) −0.482559 0.404915i −0.0182521 0.0153153i
\(700\) −5.65446 + 2.05806i −0.213719 + 0.0777872i
\(701\) 19.5851 + 7.12840i 0.739719 + 0.269236i 0.684273 0.729226i \(-0.260120\pi\)
0.0554462 + 0.998462i \(0.482342\pi\)
\(702\) −5.25399 −0.198299
\(703\) −0.157924 + 0.582776i −0.00595623 + 0.0219798i
\(704\) 3.34175 0.125947
\(705\) −27.4053 9.97471i −1.03214 0.375669i
\(706\) −22.9604 + 8.35691i −0.864127 + 0.314517i
\(707\) −12.3979 10.4031i −0.466273 0.391249i
\(708\) 3.06765 17.3975i 0.115289 0.653838i
\(709\) −21.6348 −0.812512 −0.406256 0.913759i \(-0.633166\pi\)
−0.406256 + 0.913759i \(0.633166\pi\)
\(710\) 0.970296 5.50282i 0.0364146 0.206517i
\(711\) 4.77660 + 8.27331i 0.179136 + 0.310273i
\(712\) 2.70048 2.26597i 0.101205 0.0849209i
\(713\) −49.4784 + 85.6991i −1.85298 + 3.20946i
\(714\) 19.8788 + 34.4311i 0.743945 + 1.28855i
\(715\) 11.4415 + 4.16437i 0.427888 + 0.155738i
\(716\) −15.6321 13.1169i −0.584200 0.490202i
\(717\) 5.49121 9.51105i 0.205073 0.355197i
\(718\) 3.24882 + 18.4250i 0.121245 + 0.687614i
\(719\) 4.46063 + 25.2975i 0.166353 + 0.943437i 0.947658 + 0.319287i \(0.103443\pi\)
−0.781305 + 0.624150i \(0.785445\pi\)
\(720\) −2.53028 + 2.12316i −0.0942979 + 0.0791254i
\(721\) −7.62245 + 2.77434i −0.283875 + 0.103322i
\(722\) 17.8449 6.49501i 0.664118 0.241719i
\(723\) −29.0331 + 24.3616i −1.07975 + 0.906019i
\(724\) −3.17367 17.9988i −0.117949 0.668919i
\(725\) −0.197439 1.11973i −0.00733272 0.0415859i
\(726\) −0.182448 + 0.316009i −0.00677128 + 0.0117282i
\(727\) 20.4343 + 17.1464i 0.757868 + 0.635927i 0.937571 0.347794i \(-0.113069\pi\)
−0.179703 + 0.983721i \(0.557514\pi\)
\(728\) 7.46791 + 2.71810i 0.276779 + 0.100739i
\(729\) 0.961018 + 1.66453i 0.0355933 + 0.0616493i
\(730\) −2.40317 + 4.16241i −0.0889452 + 0.154058i
\(731\) −3.81453 + 3.20077i −0.141086 + 0.118385i
\(732\) 11.6703 + 20.2135i 0.431345 + 0.747112i
\(733\) −1.97614 + 11.2073i −0.0729906 + 0.413950i 0.926317 + 0.376745i \(0.122957\pi\)
−0.999308 + 0.0372052i \(0.988154\pi\)
\(734\) 33.7230 1.24474
\(735\) −6.97875 + 39.5785i −0.257415 + 1.45987i
\(736\) 7.29498 + 6.12122i 0.268897 + 0.225631i
\(737\) −41.3451 + 15.0484i −1.52297 + 0.554314i
\(738\) −9.40447 3.42295i −0.346183 0.126000i
\(739\) 3.18059 0.117000 0.0584999 0.998287i \(-0.481368\pi\)
0.0584999 + 0.998287i \(0.481368\pi\)
\(740\) −0.964102 11.3911i −0.0354411 0.418746i
\(741\) −0.419746 −0.0154197
\(742\) 3.15416 + 1.14802i 0.115793 + 0.0421452i
\(743\) 49.7669 18.1137i 1.82577 0.664527i 0.831776 0.555112i \(-0.187325\pi\)
0.993996 0.109415i \(-0.0348976\pi\)
\(744\) 17.3628 + 14.5691i 0.636551 + 0.534130i
\(745\) −4.04897 + 22.9629i −0.148343 + 0.841295i
\(746\) 31.4347 1.15091
\(747\) 0.200891 1.13931i 0.00735020 0.0416851i
\(748\) −7.42965 12.8685i −0.271655 0.470520i
\(749\) −25.9031 + 21.7353i −0.946478 + 0.794189i
\(750\) −13.2568 + 22.9615i −0.484071 + 0.838436i
\(751\) 3.21483 + 5.56825i 0.117311 + 0.203188i 0.918701 0.394954i \(-0.129239\pi\)
−0.801390 + 0.598142i \(0.795906\pi\)
\(752\) 6.68542 + 2.43329i 0.243792 + 0.0887331i
\(753\) −2.93354 2.46153i −0.106904 0.0897031i
\(754\) −0.750829 + 1.30047i −0.0273436 + 0.0473605i
\(755\) 4.09536 + 23.2259i 0.149045 + 0.845278i
\(756\) 1.92911 + 10.9405i 0.0701612 + 0.397904i
\(757\) −24.3176 + 20.4049i −0.883837 + 0.741627i −0.966964 0.254912i \(-0.917954\pi\)
0.0831276 + 0.996539i \(0.473509\pi\)
\(758\) −6.54676 + 2.38282i −0.237789 + 0.0865481i
\(759\) −65.2259 + 23.7403i −2.36755 + 0.861718i
\(760\) 0.142909 0.119915i 0.00518384 0.00434976i
\(761\) −4.00842 22.7329i −0.145305 0.824065i −0.967122 0.254314i \(-0.918150\pi\)
0.821817 0.569752i \(-0.192961\pi\)
\(762\) −6.35454 36.0384i −0.230201 1.30553i
\(763\) −18.0051 + 31.1857i −0.651827 + 1.12900i
\(764\) 4.41676 + 3.70610i 0.159793 + 0.134082i
\(765\) 13.8014 + 5.02331i 0.498992 + 0.181618i
\(766\) 1.43864 + 2.49179i 0.0519801 + 0.0900321i
\(767\) −7.85096 + 13.5983i −0.283482 + 0.491005i
\(768\) 1.67088 1.40203i 0.0602925 0.0505914i
\(769\) −23.5799 40.8416i −0.850312 1.47278i −0.880926 0.473253i \(-0.843080\pi\)
0.0306140