Properties

Label 576.2.bl.a.11.13
Level $576$
Weight $2$
Character 576.11
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28421 + 0.592280i) q^{2} +(-1.57042 - 0.730613i) q^{3} +(1.29841 - 1.52123i) q^{4} +(3.02548 + 1.49200i) q^{5} +(2.44948 + 0.00813819i) q^{6} +(-2.08079 - 2.71174i) q^{7} +(-0.766443 + 2.72260i) q^{8} +(1.93241 + 2.29473i) q^{9} +O(q^{10})\) \(q+(-1.28421 + 0.592280i) q^{2} +(-1.57042 - 0.730613i) q^{3} +(1.29841 - 1.52123i) q^{4} +(3.02548 + 1.49200i) q^{5} +(2.44948 + 0.00813819i) q^{6} +(-2.08079 - 2.71174i) q^{7} +(-0.766443 + 2.72260i) q^{8} +(1.93241 + 2.29473i) q^{9} +(-4.76905 - 0.124119i) q^{10} +(2.53690 + 2.22480i) q^{11} +(-3.15047 + 1.44032i) q^{12} +(3.20826 + 0.210281i) q^{13} +(4.27829 + 2.25004i) q^{14} +(-3.66118 - 4.55352i) q^{15} +(-0.628265 - 3.95035i) q^{16} +(-2.03731 - 2.03731i) q^{17} +(-3.84075 - 1.80240i) q^{18} +(-4.27985 + 6.40525i) q^{19} +(6.19799 - 2.66521i) q^{20} +(1.28647 + 5.77881i) q^{21} +(-4.57562 - 1.35456i) q^{22} +(2.93539 - 3.82547i) q^{23} +(3.19280 - 3.71564i) q^{24} +(3.88365 + 5.06128i) q^{25} +(-4.24464 + 1.63014i) q^{26} +(-1.35812 - 5.01553i) q^{27} +(-6.82689 - 0.355592i) q^{28} +(0.906507 - 2.67048i) q^{29} +(7.39870 + 3.67924i) q^{30} +(0.134095 + 0.232260i) q^{31} +(3.14654 + 4.70099i) q^{32} +(-2.35851 - 5.34735i) q^{33} +(3.82300 + 1.40968i) q^{34} +(-2.24947 - 11.3089i) q^{35} +(5.99987 + 0.0398686i) q^{36} +(6.57204 - 4.39129i) q^{37} +(1.70255 - 10.7606i) q^{38} +(-4.88467 - 2.67422i) q^{39} +(-6.38099 + 7.09365i) q^{40} +(6.75819 + 5.18574i) q^{41} +(-5.07478 - 6.65927i) q^{42} +(5.98273 + 5.24672i) q^{43} +(6.67836 - 0.970497i) q^{44} +(2.42272 + 9.82582i) q^{45} +(-1.50392 + 6.65130i) q^{46} +(2.38318 + 8.89416i) q^{47} +(-1.89954 + 6.66271i) q^{48} +(-1.21210 + 4.52363i) q^{49} +(-7.98513 - 4.19955i) q^{50} +(1.71094 + 4.68791i) q^{51} +(4.48552 - 4.60746i) q^{52} +(-0.139902 - 0.0278282i) q^{53} +(4.71471 + 5.63662i) q^{54} +(4.35593 + 10.5161i) q^{55} +(8.97779 - 3.58677i) q^{56} +(11.4009 - 6.93199i) q^{57} +(0.417525 + 3.96638i) q^{58} +(2.66227 - 5.39855i) q^{59} +(-11.6807 - 0.342837i) q^{60} +(-1.29932 + 3.82766i) q^{61} +(-0.309770 - 0.218849i) q^{62} +(2.20178 - 10.0150i) q^{63} +(-6.82513 - 4.17344i) q^{64} +(9.39279 + 5.42293i) q^{65} +(6.19596 + 5.47024i) q^{66} +(8.74540 - 7.66951i) q^{67} +(-5.74447 + 0.453949i) q^{68} +(-7.40472 + 3.86295i) q^{69} +(9.58680 + 13.1907i) q^{70} +(14.1535 + 5.86258i) q^{71} +(-7.72873 + 3.50240i) q^{72} +(-6.12744 + 2.53807i) q^{73} +(-5.83903 + 9.53185i) q^{74} +(-2.40112 - 10.7858i) q^{75} +(4.18684 + 14.8273i) q^{76} +(0.754323 - 11.5087i) q^{77} +(7.85685 + 0.541187i) q^{78} +(-2.09464 - 7.81729i) q^{79} +(3.99313 - 12.8891i) q^{80} +(-1.53159 + 8.86872i) q^{81} +(-11.7504 - 2.65686i) q^{82} +(9.82013 - 4.84275i) q^{83} +(10.4612 + 5.54624i) q^{84} +(-3.12417 - 9.20351i) q^{85} +(-10.7906 - 3.19445i) q^{86} +(-3.37468 + 3.53146i) q^{87} +(-8.00163 + 5.20178i) q^{88} +(5.49615 + 2.27658i) q^{89} +(-8.93093 - 11.1835i) q^{90} +(-6.10549 - 9.13751i) q^{91} +(-2.00808 - 9.43243i) q^{92} +(-0.0408932 - 0.462716i) q^{93} +(-8.32834 - 10.0105i) q^{94} +(-22.5053 + 12.9934i) q^{95} +(-1.50677 - 9.68141i) q^{96} +(-12.0155 - 6.93714i) q^{97} +(-1.12266 - 6.52722i) q^{98} +(-0.202995 + 10.1207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28421 + 0.592280i −0.908076 + 0.418805i
\(3\) −1.57042 0.730613i −0.906680 0.421820i
\(4\) 1.29841 1.52123i 0.649205 0.760614i
\(5\) 3.02548 + 1.49200i 1.35304 + 0.667243i 0.966890 0.255194i \(-0.0821394\pi\)
0.386146 + 0.922438i \(0.373806\pi\)
\(6\) 2.44948 + 0.00813819i 0.999994 + 0.00332240i
\(7\) −2.08079 2.71174i −0.786465 1.02494i −0.998859 0.0477566i \(-0.984793\pi\)
0.212394 0.977184i \(-0.431874\pi\)
\(8\) −0.766443 + 2.72260i −0.270979 + 0.962585i
\(9\) 1.93241 + 2.29473i 0.644136 + 0.764911i
\(10\) −4.76905 0.124119i −1.50810 0.0392497i
\(11\) 2.53690 + 2.22480i 0.764903 + 0.670802i 0.950116 0.311896i \(-0.100964\pi\)
−0.185213 + 0.982698i \(0.559298\pi\)
\(12\) −3.15047 + 1.44032i −0.909463 + 0.415786i
\(13\) 3.20826 + 0.210281i 0.889811 + 0.0583213i 0.503448 0.864025i \(-0.332064\pi\)
0.386363 + 0.922347i \(0.373731\pi\)
\(14\) 4.27829 + 2.25004i 1.14342 + 0.601349i
\(15\) −3.66118 4.55352i −0.945314 1.17571i
\(16\) −0.628265 3.95035i −0.157066 0.987588i
\(17\) −2.03731 2.03731i −0.494120 0.494120i 0.415482 0.909602i \(-0.363613\pi\)
−0.909602 + 0.415482i \(0.863613\pi\)
\(18\) −3.84075 1.80240i −0.905273 0.424830i
\(19\) −4.27985 + 6.40525i −0.981866 + 1.46947i −0.101691 + 0.994816i \(0.532425\pi\)
−0.880175 + 0.474650i \(0.842575\pi\)
\(20\) 6.19799 2.66521i 1.38591 0.595960i
\(21\) 1.28647 + 5.77881i 0.280731 + 1.26104i
\(22\) −4.57562 1.35456i −0.975526 0.288794i
\(23\) 2.93539 3.82547i 0.612071 0.797667i −0.379779 0.925077i \(-0.624000\pi\)
0.991850 + 0.127411i \(0.0406666\pi\)
\(24\) 3.19280 3.71564i 0.651728 0.758453i
\(25\) 3.88365 + 5.06128i 0.776731 + 1.01226i
\(26\) −4.24464 + 1.63014i −0.832442 + 0.319697i
\(27\) −1.35812 5.01553i −0.261371 0.965238i
\(28\) −6.82689 0.355592i −1.29016 0.0672006i
\(29\) 0.906507 2.67048i 0.168334 0.495896i −0.829725 0.558173i \(-0.811503\pi\)
0.998059 + 0.0622762i \(0.0198360\pi\)
\(30\) 7.39870 + 3.67924i 1.35081 + 0.671735i
\(31\) 0.134095 + 0.232260i 0.0240842 + 0.0417151i 0.877816 0.478997i \(-0.159000\pi\)
−0.853732 + 0.520713i \(0.825666\pi\)
\(32\) 3.14654 + 4.70099i 0.556235 + 0.831025i
\(33\) −2.35851 5.34735i −0.410565 0.930854i
\(34\) 3.82300 + 1.40968i 0.655639 + 0.241759i
\(35\) −2.24947 11.3089i −0.380230 1.91154i
\(36\) 5.99987 + 0.0398686i 0.999978 + 0.00664477i
\(37\) 6.57204 4.39129i 1.08044 0.721924i 0.117886 0.993027i \(-0.462388\pi\)
0.962550 + 0.271103i \(0.0873883\pi\)
\(38\) 1.70255 10.7606i 0.276189 1.74560i
\(39\) −4.88467 2.67422i −0.782173 0.428219i
\(40\) −6.38099 + 7.09365i −1.00892 + 1.12160i
\(41\) 6.75819 + 5.18574i 1.05545 + 0.809876i 0.982276 0.187443i \(-0.0600199\pi\)
0.0731758 + 0.997319i \(0.476687\pi\)
\(42\) −5.07478 6.65927i −0.783055 1.02755i
\(43\) 5.98273 + 5.24672i 0.912358 + 0.800117i 0.980288 0.197573i \(-0.0633061\pi\)
−0.0679298 + 0.997690i \(0.521639\pi\)
\(44\) 6.67836 0.970497i 1.00680 0.146308i
\(45\) 2.42272 + 9.82582i 0.361158 + 1.46475i
\(46\) −1.50392 + 6.65130i −0.221740 + 0.980680i
\(47\) 2.38318 + 8.89416i 0.347623 + 1.29735i 0.889518 + 0.456900i \(0.151040\pi\)
−0.541895 + 0.840446i \(0.682293\pi\)
\(48\) −1.89954 + 6.66271i −0.274175 + 0.961680i
\(49\) −1.21210 + 4.52363i −0.173158 + 0.646233i
\(50\) −7.98513 4.19955i −1.12927 0.593906i
\(51\) 1.71094 + 4.68791i 0.239579 + 0.656438i
\(52\) 4.48552 4.60746i 0.622030 0.638940i
\(53\) −0.139902 0.0278282i −0.0192170 0.00382250i 0.185472 0.982649i \(-0.440618\pi\)
−0.204689 + 0.978827i \(0.565618\pi\)
\(54\) 4.71471 + 5.63662i 0.641591 + 0.767047i
\(55\) 4.35593 + 10.5161i 0.587353 + 1.41800i
\(56\) 8.97779 3.58677i 1.19971 0.479302i
\(57\) 11.4009 6.93199i 1.51009 0.918165i
\(58\) 0.417525 + 3.96638i 0.0548237 + 0.520811i
\(59\) 2.66227 5.39855i 0.346598 0.702832i −0.651860 0.758339i \(-0.726011\pi\)
0.998458 + 0.0555077i \(0.0176777\pi\)
\(60\) −11.6807 0.342837i −1.50797 0.0442600i
\(61\) −1.29932 + 3.82766i −0.166360 + 0.490082i −0.997856 0.0654498i \(-0.979152\pi\)
0.831496 + 0.555531i \(0.187485\pi\)
\(62\) −0.309770 0.218849i −0.0393408 0.0277939i
\(63\) 2.20178 10.0150i 0.277398 1.26178i
\(64\) −6.82513 4.17344i −0.853141 0.521680i
\(65\) 9.39279 + 5.42293i 1.16503 + 0.672632i
\(66\) 6.19596 + 5.47024i 0.762670 + 0.673340i
\(67\) 8.74540 7.66951i 1.06842 0.936980i 0.0702557 0.997529i \(-0.477618\pi\)
0.998165 + 0.0605490i \(0.0192852\pi\)
\(68\) −5.74447 + 0.453949i −0.696620 + 0.0550494i
\(69\) −7.40472 + 3.86295i −0.891424 + 0.465045i
\(70\) 9.58680 + 13.1907i 1.14584 + 1.57659i
\(71\) 14.1535 + 5.86258i 1.67971 + 0.695760i 0.999312 0.0370805i \(-0.0118058\pi\)
0.680401 + 0.732840i \(0.261806\pi\)
\(72\) −7.72873 + 3.50240i −0.910839 + 0.412762i
\(73\) −6.12744 + 2.53807i −0.717162 + 0.297058i −0.711265 0.702924i \(-0.751877\pi\)
−0.00589744 + 0.999983i \(0.501877\pi\)
\(74\) −5.83903 + 9.53185i −0.678773 + 1.10805i
\(75\) −2.40112 10.7858i −0.277257 1.24543i
\(76\) 4.18684 + 14.8273i 0.480264 + 1.70081i
\(77\) 0.754323 11.5087i 0.0859630 1.31154i
\(78\) 7.85685 + 0.541187i 0.889613 + 0.0612773i
\(79\) −2.09464 7.81729i −0.235665 0.879514i −0.977848 0.209316i \(-0.932876\pi\)
0.742183 0.670197i \(-0.233791\pi\)
\(80\) 3.99313 12.8891i 0.446445 1.44104i
\(81\) −1.53159 + 8.86872i −0.170177 + 0.985414i
\(82\) −11.7504 2.65686i −1.29761 0.293401i
\(83\) 9.82013 4.84275i 1.07790 0.531561i 0.185424 0.982659i \(-0.440634\pi\)
0.892475 + 0.451098i \(0.148967\pi\)
\(84\) 10.4612 + 5.54624i 1.14142 + 0.605144i
\(85\) −3.12417 9.20351i −0.338864 0.998261i
\(86\) −10.7906 3.19445i −1.16358 0.344467i
\(87\) −3.37468 + 3.53146i −0.361804 + 0.378613i
\(88\) −8.00163 + 5.20178i −0.852977 + 0.554512i
\(89\) 5.49615 + 2.27658i 0.582591 + 0.241317i 0.654459 0.756097i \(-0.272896\pi\)
−0.0718688 + 0.997414i \(0.522896\pi\)
\(90\) −8.93093 11.1835i −0.941402 1.17885i
\(91\) −6.10549 9.13751i −0.640029 0.957871i
\(92\) −2.00808 9.43243i −0.209357 0.983399i
\(93\) −0.0408932 0.462716i −0.00424043 0.0479815i
\(94\) −8.32834 10.0105i −0.859003 1.03250i
\(95\) −22.5053 + 12.9934i −2.30899 + 1.33310i
\(96\) −1.50677 9.68141i −0.153784 0.988104i
\(97\) −12.0155 6.93714i −1.21999 0.704360i −0.255072 0.966922i \(-0.582099\pi\)
−0.964915 + 0.262562i \(0.915433\pi\)
\(98\) −1.12266 6.52722i −0.113405 0.659348i
\(99\) −0.202995 + 10.1207i −0.0204018 + 1.01717i
\(100\) 12.7419 + 0.663689i 1.27419 + 0.0663689i
\(101\) −4.90361 + 0.321400i −0.487928 + 0.0319805i −0.307382 0.951586i \(-0.599453\pi\)
−0.180545 + 0.983567i \(0.557786\pi\)
\(102\) −4.97376 5.00692i −0.492476 0.495759i
\(103\) 0.568668 + 4.31946i 0.0560325 + 0.425609i 0.996354 + 0.0853206i \(0.0271914\pi\)
−0.940321 + 0.340289i \(0.889475\pi\)
\(104\) −3.03146 + 8.57365i −0.297259 + 0.840716i
\(105\) −4.72979 + 19.4031i −0.461580 + 1.89355i
\(106\) 0.196146 0.0471237i 0.0190514 0.00457706i
\(107\) 3.13163 + 0.622921i 0.302746 + 0.0602200i 0.344126 0.938923i \(-0.388175\pi\)
−0.0413795 + 0.999144i \(0.513175\pi\)
\(108\) −9.39316 4.44619i −0.903857 0.427835i
\(109\) −8.40806 5.61809i −0.805346 0.538115i 0.0833992 0.996516i \(-0.473422\pi\)
−0.888745 + 0.458401i \(0.848422\pi\)
\(110\) −11.8224 10.9250i −1.12723 1.04166i
\(111\) −13.5292 + 2.09454i −1.28413 + 0.198805i
\(112\) −9.40503 + 9.92354i −0.888692 + 0.937687i
\(113\) −15.8153 4.23770i −1.48778 0.398650i −0.578794 0.815474i \(-0.696476\pi\)
−0.908987 + 0.416825i \(0.863143\pi\)
\(114\) −10.5355 + 15.6547i −0.986743 + 1.46620i
\(115\) 14.5886 7.19429i 1.36039 0.670871i
\(116\) −2.88540 4.84639i −0.267902 0.449976i
\(117\) 5.71713 + 7.76845i 0.528549 + 0.718193i
\(118\) −0.221472 + 8.50970i −0.0203882 + 0.783382i
\(119\) −1.28544 + 9.76386i −0.117836 + 0.895052i
\(120\) 15.2035 6.47794i 1.38788 0.591352i
\(121\) 0.0503275 + 0.382275i 0.00457523 + 0.0347523i
\(122\) −0.598447 5.68509i −0.0541808 0.514704i
\(123\) −6.82439 13.0814i −0.615335 1.17951i
\(124\) 0.527431 + 0.0975790i 0.0473647 + 0.00876286i
\(125\) 0.907930 + 4.56447i 0.0812078 + 0.408259i
\(126\) 3.10416 + 14.1655i 0.276540 + 1.26196i
\(127\) 6.50253i 0.577006i −0.957479 0.288503i \(-0.906842\pi\)
0.957479 0.288503i \(-0.0931575\pi\)
\(128\) 11.2368 + 1.31720i 0.993199 + 0.116425i
\(129\) −5.56206 12.6106i −0.489712 1.11030i
\(130\) −15.2742 1.40104i −1.33964 0.122879i
\(131\) 5.48713 + 6.25687i 0.479412 + 0.546665i 0.940101 0.340897i \(-0.110731\pi\)
−0.460688 + 0.887562i \(0.652397\pi\)
\(132\) −11.1968 3.35521i −0.974561 0.292034i
\(133\) 26.2748 1.72214i 2.27832 0.149329i
\(134\) −6.68847 + 15.0290i −0.577796 + 1.29831i
\(135\) 3.37420 17.2007i 0.290405 1.48040i
\(136\) 7.10826 3.98530i 0.609529 0.341737i
\(137\) 4.68195 + 0.616390i 0.400006 + 0.0526618i 0.327846 0.944731i \(-0.393677\pi\)
0.0721601 + 0.997393i \(0.477011\pi\)
\(138\) 7.22130 9.34652i 0.614718 0.795629i
\(139\) 0.432678 + 1.27463i 0.0366993 + 0.108113i 0.963736 0.266859i \(-0.0859858\pi\)
−0.927036 + 0.374972i \(0.877652\pi\)
\(140\) −20.1241 11.2616i −1.70079 0.951776i
\(141\) 2.75560 15.7087i 0.232064 1.32291i
\(142\) −21.6484 + 0.854037i −1.81670 + 0.0716692i
\(143\) 7.67119 + 7.67119i 0.641497 + 0.641497i
\(144\) 7.85093 9.07540i 0.654245 0.756283i
\(145\) 6.72699 6.72699i 0.558646 0.558646i
\(146\) 6.36569 6.88858i 0.526828 0.570103i
\(147\) 5.20853 6.21840i 0.429592 0.512885i
\(148\) 1.85304 15.6993i 0.152319 1.29047i
\(149\) −10.8330 + 3.67732i −0.887477 + 0.301258i −0.727700 0.685895i \(-0.759411\pi\)
−0.159777 + 0.987153i \(0.551077\pi\)
\(150\) 9.47173 + 12.4291i 0.773364 + 1.01483i
\(151\) −0.663892 + 5.04276i −0.0540267 + 0.410374i 0.942967 + 0.332887i \(0.108023\pi\)
−0.996993 + 0.0774866i \(0.975311\pi\)
\(152\) −14.1587 16.5616i −1.14842 1.34332i
\(153\) 0.738164 8.61199i 0.0596770 0.696238i
\(154\) 5.84768 + 15.2264i 0.471220 + 1.22698i
\(155\) 0.0591706 + 0.902768i 0.00475269 + 0.0725121i
\(156\) −10.4104 + 3.95845i −0.833499 + 0.316930i
\(157\) 5.69548 4.99480i 0.454549 0.398629i −0.401224 0.915980i \(-0.631415\pi\)
0.855773 + 0.517351i \(0.173082\pi\)
\(158\) 7.31998 + 8.79846i 0.582347 + 0.699968i
\(159\) 0.199373 + 0.145916i 0.0158113 + 0.0115719i
\(160\) 2.50591 + 18.9174i 0.198110 + 1.49555i
\(161\) −16.4816 −1.29893
\(162\) −3.28587 12.2965i −0.258163 0.966101i
\(163\) −23.1197 + 4.59880i −1.81088 + 0.360206i −0.980426 0.196888i \(-0.936916\pi\)
−0.830450 + 0.557094i \(0.811916\pi\)
\(164\) 16.6636 3.54753i 1.30121 0.277015i
\(165\) 0.842614 19.6972i 0.0655974 1.53343i
\(166\) −9.74288 + 12.0354i −0.756194 + 0.934127i
\(167\) −10.5948 + 1.39483i −0.819849 + 0.107935i −0.528772 0.848764i \(-0.677347\pi\)
−0.291078 + 0.956699i \(0.594014\pi\)
\(168\) −16.7194 0.926573i −1.28993 0.0714866i
\(169\) −2.64007 0.347571i −0.203082 0.0267362i
\(170\) 9.46315 + 9.96889i 0.725791 + 0.764579i
\(171\) −22.9688 + 2.55645i −1.75647 + 0.195497i
\(172\) 15.7495 2.28871i 1.20089 0.174513i
\(173\) 11.2047 + 22.7208i 0.851874 + 1.72743i 0.667550 + 0.744565i \(0.267343\pi\)
0.184324 + 0.982865i \(0.440990\pi\)
\(174\) 2.24220 6.53391i 0.169981 0.495334i
\(175\) 5.64379 21.0629i 0.426630 1.59221i
\(176\) 7.19489 11.4194i 0.542336 0.860770i
\(177\) −8.12512 + 6.53288i −0.610722 + 0.491041i
\(178\) −8.40660 + 0.331643i −0.630101 + 0.0248577i
\(179\) 7.28229 10.8987i 0.544304 0.814608i −0.452724 0.891651i \(-0.649548\pi\)
0.997028 + 0.0770427i \(0.0245478\pi\)
\(180\) 18.0930 + 9.07243i 1.34857 + 0.676219i
\(181\) 1.64293 8.25957i 0.122118 0.613929i −0.870452 0.492253i \(-0.836173\pi\)
0.992570 0.121675i \(-0.0388267\pi\)
\(182\) 13.2527 + 8.11836i 0.982357 + 0.601773i
\(183\) 4.83700 5.06172i 0.357562 0.374173i
\(184\) 8.16544 + 10.9239i 0.601964 + 0.805321i
\(185\) 26.4354 3.48028i 1.94357 0.255876i
\(186\) 0.326573 + 0.570007i 0.0239455 + 0.0417949i
\(187\) −0.635840 9.70105i −0.0464972 0.709411i
\(188\) 16.6244 + 7.92290i 1.21246 + 0.577837i
\(189\) −10.7748 + 14.1191i −0.783753 + 1.02702i
\(190\) 21.2058 30.0157i 1.53843 2.17757i
\(191\) −5.92052 + 10.2546i −0.428394 + 0.742000i −0.996731 0.0807958i \(-0.974254\pi\)
0.568337 + 0.822796i \(0.307587\pi\)
\(192\) 7.66912 + 11.5406i 0.553471 + 0.832868i
\(193\) 5.47094 + 9.47595i 0.393807 + 0.682094i 0.992948 0.118550i \(-0.0378245\pi\)
−0.599141 + 0.800643i \(0.704491\pi\)
\(194\) 19.5392 + 1.79225i 1.40283 + 0.128676i
\(195\) −10.7885 15.3787i −0.772582 1.10130i
\(196\) 5.30767 + 7.71741i 0.379119 + 0.551244i
\(197\) −1.66366 + 1.11162i −0.118531 + 0.0792000i −0.613423 0.789755i \(-0.710208\pi\)
0.494892 + 0.868955i \(0.335208\pi\)
\(198\) −5.73361 13.1174i −0.407470 0.932213i
\(199\) −3.28039 + 7.91956i −0.232540 + 0.561402i −0.996475 0.0838915i \(-0.973265\pi\)
0.763934 + 0.645294i \(0.223265\pi\)
\(200\) −16.7564 + 6.69447i −1.18486 + 0.473370i
\(201\) −19.3374 + 5.65481i −1.36395 + 0.398860i
\(202\) 6.10693 3.31706i 0.429682 0.233387i
\(203\) −9.12790 + 3.09851i −0.640653 + 0.217473i
\(204\) 9.35287 + 3.48410i 0.654832 + 0.243936i
\(205\) 12.7096 + 25.7726i 0.887679 + 1.80003i
\(206\) −3.28862 5.21030i −0.229129 0.363019i
\(207\) 14.4508 0.656448i 1.00440 0.0456263i
\(208\) −1.18496 12.8059i −0.0821620 0.887927i
\(209\) −25.1079 + 6.72765i −1.73675 + 0.465362i
\(210\) −5.41799 27.7191i −0.373877 1.91280i
\(211\) −11.9521 0.783385i −0.822819 0.0539304i −0.351824 0.936066i \(-0.614438\pi\)
−0.470995 + 0.882136i \(0.656105\pi\)
\(212\) −0.223983 + 0.176690i −0.0153832 + 0.0121351i
\(213\) −17.9436 19.5474i −1.22948 1.33937i
\(214\) −4.39063 + 1.05484i −0.300137 + 0.0721074i
\(215\) 10.2725 + 24.8001i 0.700581 + 1.69135i
\(216\) 14.6962 + 0.146485i 0.999950 + 0.00996706i
\(217\) 0.350804 0.846916i 0.0238141 0.0574924i
\(218\) 14.1252 + 2.23490i 0.956681 + 0.151367i
\(219\) 11.4770 + 0.490965i 0.775541 + 0.0331764i
\(220\) 21.6532 + 7.02790i 1.45986 + 0.473821i
\(221\) −6.10781 6.96462i −0.410856 0.468491i
\(222\) 16.1338 10.7029i 1.08283 0.718331i
\(223\) 2.82206 4.88795i 0.188979 0.327321i −0.755931 0.654651i \(-0.772815\pi\)
0.944910 + 0.327330i \(0.106149\pi\)
\(224\) 6.20056 18.3144i 0.414292 1.22368i
\(225\) −4.10947 + 18.6924i −0.273964 + 1.24616i
\(226\) 22.8202 3.92498i 1.51797 0.261086i
\(227\) −22.9982 7.80683i −1.52644 0.518157i −0.572954 0.819587i \(-0.694203\pi\)
−0.953488 + 0.301430i \(0.902536\pi\)
\(228\) 4.25792 26.3439i 0.281987 1.74467i
\(229\) 17.8031 + 8.77949i 1.17646 + 0.580165i 0.922103 0.386945i \(-0.126470\pi\)
0.254356 + 0.967111i \(0.418136\pi\)
\(230\) −14.4738 + 17.8795i −0.954375 + 1.17894i
\(231\) −9.59303 + 17.5224i −0.631175 + 1.15289i
\(232\) 6.57588 + 4.51483i 0.431728 + 0.296413i
\(233\) −7.75148 + 3.21077i −0.507816 + 0.210344i −0.621856 0.783132i \(-0.713621\pi\)
0.114040 + 0.993476i \(0.463621\pi\)
\(234\) −11.9431 6.59020i −0.780746 0.430815i
\(235\) −6.05983 + 30.4648i −0.395300 + 1.98731i
\(236\) −4.75571 11.0595i −0.309570 0.719909i
\(237\) −2.42197 + 13.8068i −0.157324 + 0.896846i
\(238\) −4.13216 13.3002i −0.267848 0.862125i
\(239\) 23.1584 + 6.20527i 1.49799 + 0.401386i 0.912427 0.409240i \(-0.134206\pi\)
0.585565 + 0.810626i \(0.300873\pi\)
\(240\) −15.6878 + 17.3238i −1.01264 + 1.11825i
\(241\) −3.44515 + 0.923126i −0.221922 + 0.0594638i −0.368067 0.929799i \(-0.619980\pi\)
0.146145 + 0.989263i \(0.453313\pi\)
\(242\) −0.291045 0.461115i −0.0187091 0.0296416i
\(243\) 8.88484 12.8086i 0.569963 0.821671i
\(244\) 4.13570 + 6.94642i 0.264761 + 0.444699i
\(245\) −10.4165 + 11.8777i −0.665484 + 0.758839i
\(246\) 16.5118 + 12.7573i 1.05275 + 0.813378i
\(247\) −15.0778 + 19.6498i −0.959377 + 1.25028i
\(248\) −0.735128 + 0.187074i −0.0466807 + 0.0118792i
\(249\) −18.9599 + 0.430417i −1.20153 + 0.0272766i
\(250\) −3.86942 5.32401i −0.244724 0.336720i
\(251\) −11.5592 17.2995i −0.729609 1.09194i −0.991909 0.126951i \(-0.959481\pi\)
0.262300 0.964986i \(-0.415519\pi\)
\(252\) −12.3764 16.3530i −0.779637 1.03014i
\(253\) 15.9577 3.17418i 1.00325 0.199559i
\(254\) 3.85132 + 8.35063i 0.241653 + 0.523965i
\(255\) −1.81796 + 16.7359i −0.113845 + 1.04804i
\(256\) −15.2106 + 4.96374i −0.950660 + 0.310234i
\(257\) 2.09984 1.21234i 0.130984 0.0756237i −0.433076 0.901357i \(-0.642572\pi\)
0.564060 + 0.825734i \(0.309239\pi\)
\(258\) 14.6119 + 12.9004i 0.909695 + 0.803144i
\(259\) −25.5831 8.68428i −1.58965 0.539615i
\(260\) 20.4452 7.24739i 1.26796 0.449464i
\(261\) 7.87979 3.08028i 0.487747 0.190664i
\(262\) −10.7525 4.78524i −0.664289 0.295633i
\(263\) −16.9194 + 12.9827i −1.04329 + 0.800547i −0.980309 0.197467i \(-0.936728\pi\)
−0.0629841 + 0.998015i \(0.520062\pi\)
\(264\) 16.3664 2.32286i 1.00728 0.142962i
\(265\) −0.381751 0.292928i −0.0234508 0.0179944i
\(266\) −32.7225 + 17.7737i −2.00635 + 1.08977i
\(267\) −6.96794 7.59073i −0.426431 0.464545i
\(268\) −0.311958 23.2619i −0.0190559 1.42095i
\(269\) −7.53541 5.03500i −0.459442 0.306989i 0.304224 0.952600i \(-0.401603\pi\)
−0.763666 + 0.645611i \(0.776603\pi\)
\(270\) 5.85443 + 24.0878i 0.356289 + 1.46594i
\(271\) 7.42726 7.42726i 0.451174 0.451174i −0.444570 0.895744i \(-0.646644\pi\)
0.895744 + 0.444570i \(0.146644\pi\)
\(272\) −6.76812 + 9.32806i −0.410377 + 0.565597i
\(273\) 2.91217 + 18.8104i 0.176253 + 1.13846i
\(274\) −6.37770 + 1.98145i −0.385291 + 0.119704i
\(275\) −1.40789 + 21.4803i −0.0848991 + 1.29531i
\(276\) −3.73794 + 16.2800i −0.224997 + 0.979938i
\(277\) 1.32379 1.50949i 0.0795386 0.0906964i −0.710702 0.703494i \(-0.751622\pi\)
0.790240 + 0.612797i \(0.209956\pi\)
\(278\) −1.31059 1.38063i −0.0786038 0.0828046i
\(279\) −0.273847 + 0.756534i −0.0163948 + 0.0452925i
\(280\) 32.5136 + 2.54318i 1.94306 + 0.151984i
\(281\) −2.25708 + 1.73192i −0.134646 + 0.103318i −0.673889 0.738833i \(-0.735377\pi\)
0.539242 + 0.842151i \(0.318711\pi\)
\(282\) 5.76517 + 21.8054i 0.343311 + 1.29849i
\(283\) −5.44424 + 11.0398i −0.323626 + 0.656249i −0.996508 0.0835010i \(-0.973390\pi\)
0.672881 + 0.739750i \(0.265056\pi\)
\(284\) 27.2954 13.9187i 1.61968 0.825922i
\(285\) 44.8358 3.96243i 2.65584 0.234714i
\(286\) −14.3949 5.30796i −0.851191 0.313866i
\(287\) 29.1169i 1.71871i
\(288\) −4.70710 + 16.3047i −0.277369 + 0.960764i
\(289\) 8.69874i 0.511691i
\(290\) −4.65463 + 12.6231i −0.273329 + 0.741257i
\(291\) 13.8009 + 19.6729i 0.809025 + 1.15324i
\(292\) −4.09494 + 12.6167i −0.239638 + 0.738335i
\(293\) −0.0388094 + 0.0786977i −0.00226727 + 0.00459757i −0.898003 0.439988i \(-0.854983\pi\)
0.895736 + 0.444586i \(0.146649\pi\)
\(294\) −3.00583 + 11.0707i −0.175304 + 0.645654i
\(295\) 16.1093 12.3611i 0.937920 0.719691i
\(296\) 6.91866 + 21.2587i 0.402139 + 1.23564i
\(297\) 7.71312 15.7454i 0.447560 0.913642i
\(298\) 11.7339 11.1387i 0.679729 0.645245i
\(299\) 10.2219 11.6559i 0.591149 0.674076i
\(300\) −19.5252 10.3517i −1.12729 0.597655i
\(301\) 1.77891 27.1409i 0.102535 1.56438i
\(302\) −2.13414 6.86919i −0.122806 0.395277i
\(303\) 7.93553 + 3.07791i 0.455884 + 0.176821i
\(304\) 27.9919 + 12.8827i 1.60545 + 0.738875i
\(305\) −9.64193 + 9.64193i −0.552095 + 0.552095i
\(306\) 4.15275 + 11.4968i 0.237397 + 0.657231i
\(307\) −26.2363 17.5305i −1.49738 1.00052i −0.990349 0.138593i \(-0.955742\pi\)
−0.507034 0.861926i \(-0.669258\pi\)
\(308\) −16.5280 16.0906i −0.941769 0.916844i
\(309\) 2.26281 7.19883i 0.128727 0.409527i
\(310\) −0.610679 1.12430i −0.0346842 0.0638561i
\(311\) 2.10594 + 1.61595i 0.119417 + 0.0916319i 0.666743 0.745287i \(-0.267688\pi\)
−0.547326 + 0.836919i \(0.684354\pi\)
\(312\) 11.0247 11.2494i 0.624149 0.636870i
\(313\) −9.64157 + 7.39824i −0.544974 + 0.418173i −0.844215 0.536004i \(-0.819933\pi\)
0.299241 + 0.954177i \(0.403266\pi\)
\(314\) −4.35590 + 9.78771i −0.245817 + 0.552353i
\(315\) 21.6039 27.0153i 1.21724 1.52214i
\(316\) −14.6116 6.96363i −0.821965 0.391735i
\(317\) −16.5186 5.60732i −0.927778 0.314938i −0.183663 0.982989i \(-0.558795\pi\)
−0.744116 + 0.668051i \(0.767129\pi\)
\(318\) −0.342460 0.0693031i −0.0192042 0.00388633i
\(319\) 8.24101 4.75795i 0.461408 0.266394i
\(320\) −14.4225 22.8098i −0.806243 1.27510i
\(321\) −4.46285 3.26626i −0.249092 0.182305i
\(322\) 21.1659 9.76173i 1.17953 0.544000i
\(323\) 21.7689 4.33010i 1.21125 0.240933i
\(324\) 11.5027 + 13.8451i 0.639039 + 0.769174i
\(325\) 11.3955 + 17.0546i 0.632108 + 0.946016i
\(326\) 26.9669 19.5992i 1.49356 1.08550i
\(327\) 9.09950 + 14.9658i 0.503204 + 0.827609i
\(328\) −19.2985 + 14.4253i −1.06558 + 0.796503i
\(329\) 19.1597 24.9694i 1.05631 1.37661i
\(330\) 10.5842 + 25.7945i 0.582639 + 1.41994i
\(331\) −2.12836 + 2.42693i −0.116985 + 0.133396i −0.807368 0.590048i \(-0.799109\pi\)
0.690383 + 0.723444i \(0.257442\pi\)
\(332\) 5.38362 21.2265i 0.295465 1.16496i
\(333\) 22.7767 + 6.59529i 1.24816 + 0.361420i
\(334\) 12.7798 8.06634i 0.699282 0.441370i
\(335\) 37.9020 10.1558i 2.07081 0.554871i
\(336\) 22.0201 8.71265i 1.20129 0.475314i
\(337\) −23.6009 6.32384i −1.28562 0.344481i −0.449626 0.893217i \(-0.648443\pi\)
−0.835996 + 0.548736i \(0.815109\pi\)
\(338\) 3.59627 1.11730i 0.195611 0.0607732i
\(339\) 21.7405 + 18.2098i 1.18078 + 0.989023i
\(340\) −18.0571 7.19735i −0.979283 0.390331i
\(341\) −0.176546 + 0.887555i −0.00956048 + 0.0480638i
\(342\) 27.9827 16.8870i 1.51313 0.913143i
\(343\) −7.31616 + 3.03045i −0.395035 + 0.163629i
\(344\) −18.8701 + 12.2673i −1.01741 + 0.661408i
\(345\) −28.1664 + 0.639418i −1.51643 + 0.0344251i
\(346\) −27.8462 22.5421i −1.49702 1.21187i
\(347\) −3.33648 1.64537i −0.179112 0.0883281i 0.350522 0.936554i \(-0.386004\pi\)
−0.529634 + 0.848226i \(0.677671\pi\)
\(348\) 0.990437 + 9.71895i 0.0530930 + 0.520990i
\(349\) 14.2570 + 4.83959i 0.763159 + 0.259057i 0.675766 0.737116i \(-0.263813\pi\)
0.0873929 + 0.996174i \(0.472146\pi\)
\(350\) 5.22730 + 30.3920i 0.279411 + 1.62452i
\(351\) −3.30255 16.3767i −0.176277 0.874124i
\(352\) −2.47630 + 18.9263i −0.131987 + 1.00878i
\(353\) 0.313565 0.543111i 0.0166894 0.0289069i −0.857560 0.514384i \(-0.828021\pi\)
0.874249 + 0.485477i \(0.161354\pi\)
\(354\) 6.56510 13.2020i 0.348931 0.701676i
\(355\) 34.0742 + 38.8542i 1.80847 + 2.06217i
\(356\) 10.5994 5.40496i 0.561769 0.286462i
\(357\) 9.15227 14.3942i 0.484390 0.761820i
\(358\) −2.89693 + 18.3094i −0.153107 + 0.967683i
\(359\) 2.98975 7.21790i 0.157793 0.380946i −0.825135 0.564935i \(-0.808901\pi\)
0.982928 + 0.183989i \(0.0589011\pi\)
\(360\) −28.6087 0.934830i −1.50781 0.0492699i
\(361\) −15.4391 37.2734i −0.812587 1.96176i
\(362\) 2.78210 + 11.5801i 0.146224 + 0.608638i
\(363\) 0.200260 0.637101i 0.0105109 0.0334391i
\(364\) −21.8277 2.57639i −1.14408 0.135040i
\(365\) −22.3252 1.46327i −1.16856 0.0765912i
\(366\) −3.21379 + 9.36519i −0.167988 + 0.489526i
\(367\) −4.46442 + 1.19624i −0.233041 + 0.0624431i −0.373449 0.927651i \(-0.621825\pi\)
0.140409 + 0.990094i \(0.455158\pi\)
\(368\) −16.9562 9.19241i −0.883902 0.479188i
\(369\) 1.15970 + 25.5292i 0.0603715 + 1.32900i
\(370\) −31.8874 + 20.1266i −1.65775 + 1.04633i
\(371\) 0.215644 + 0.437282i 0.0111957 + 0.0227026i
\(372\) −0.756993 0.538588i −0.0392483 0.0279245i
\(373\) 21.8897 7.43054i 1.13340 0.384739i 0.309180 0.951003i \(-0.399945\pi\)
0.824223 + 0.566265i \(0.191612\pi\)
\(374\) 6.56229 + 12.0816i 0.339328 + 0.624726i
\(375\) 1.90904 7.83147i 0.0985822 0.404415i
\(376\) −26.0418 0.328408i −1.34300 0.0169363i
\(377\) 3.46986 8.37699i 0.178707 0.431437i
\(378\) 5.47470 24.5137i 0.281588 1.26085i
\(379\) 9.51524 6.35788i 0.488765 0.326582i −0.286649 0.958036i \(-0.592541\pi\)
0.775414 + 0.631453i \(0.217541\pi\)
\(380\) −9.45510 + 51.1064i −0.485037 + 2.62170i
\(381\) −4.75083 + 10.2117i −0.243392 + 0.523160i
\(382\) 1.52960 16.6758i 0.0782610 0.853206i
\(383\) 0.193769 + 0.335618i 0.00990114 + 0.0171493i 0.870934 0.491401i \(-0.163515\pi\)
−0.861032 + 0.508550i \(0.830182\pi\)
\(384\) −16.6840 10.2783i −0.851403 0.524512i
\(385\) 19.4532 33.6940i 0.991429 1.71721i
\(386\) −12.6383 8.92882i −0.643271 0.454465i
\(387\) −0.478721 + 23.8676i −0.0243348 + 1.21326i
\(388\) −26.1540 + 9.27103i −1.32777 + 0.470665i
\(389\) −0.547278 8.34985i −0.0277481 0.423354i −0.989023 0.147763i \(-0.952793\pi\)
0.961275 0.275592i \(-0.0888738\pi\)
\(390\) 22.9633 + 13.3598i 1.16279 + 0.676499i
\(391\) −13.7740 + 1.81338i −0.696580 + 0.0917064i
\(392\) −11.3870 6.76718i −0.575133 0.341794i
\(393\) −4.04572 13.8349i −0.204079 0.697876i
\(394\) 1.47811 2.41292i 0.0744660 0.121561i
\(395\) 5.32613 26.7763i 0.267987 1.34726i
\(396\) 15.1323 + 13.4496i 0.760429 + 0.675870i
\(397\) −15.1477 + 22.6702i −0.760244 + 1.13778i 0.226263 + 0.974066i \(0.427349\pi\)
−0.986507 + 0.163719i \(0.947651\pi\)
\(398\) −0.477874 12.1133i −0.0239536 0.607185i
\(399\) −42.5206 16.4923i −2.12869 0.825646i
\(400\) 17.5539 18.5216i 0.877693 0.926081i
\(401\) −4.41691 + 16.4841i −0.220570 + 0.823179i 0.763561 + 0.645736i \(0.223449\pi\)
−0.984131 + 0.177443i \(0.943217\pi\)
\(402\) 21.4841 18.7151i 1.07153 0.933425i
\(403\) 0.381373 + 0.773348i 0.0189975 + 0.0385232i
\(404\) −5.87797 + 7.87682i −0.292440 + 0.391886i
\(405\) −17.8659 + 24.5470i −0.887766 + 1.21975i
\(406\) 9.88700 9.38542i 0.490683 0.465790i
\(407\) 26.4423 + 3.48120i 1.31070 + 0.172557i
\(408\) −14.0746 + 1.06519i −0.696799 + 0.0527346i
\(409\) 39.8570 5.24728i 1.97080 0.259461i 0.971012 0.239032i \(-0.0768302\pi\)
0.999791 0.0204286i \(-0.00650309\pi\)
\(410\) −31.5865 25.5698i −1.55994 1.26280i
\(411\) −6.90226 4.38868i −0.340463 0.216478i
\(412\) 7.30925 + 4.74336i 0.360101 + 0.233688i
\(413\) −20.1791 + 4.01387i −0.992948 + 0.197510i
\(414\) −18.1691 + 9.40194i −0.892964 + 0.462080i
\(415\) 36.9360 1.81312
\(416\) 9.10640 + 15.7436i 0.446478 + 0.771896i
\(417\) 0.251776 2.31782i 0.0123295 0.113504i
\(418\) 28.2593 23.5107i 1.38221 1.14994i
\(419\) −16.2108 + 14.2165i −0.791952 + 0.694523i −0.956463 0.291852i \(-0.905729\pi\)
0.164512 + 0.986375i \(0.447395\pi\)
\(420\) 23.3753 + 32.3882i 1.14060 + 1.58038i
\(421\) −1.39592 21.2977i −0.0680332 1.03799i −0.886289 0.463132i \(-0.846726\pi\)
0.818256 0.574854i \(-0.194941\pi\)
\(422\) 15.8131 6.07298i 0.769769 0.295628i
\(423\) −15.8044 + 22.6559i −0.768438 + 1.10157i
\(424\) 0.182992 0.359569i 0.00888688 0.0174622i
\(425\) 2.39918 18.2236i 0.116377 0.883974i
\(426\) 34.6210 + 14.4754i 1.67739 + 0.701337i
\(427\) 13.0832 4.44115i 0.633141 0.214922i
\(428\) 5.01375 3.95512i 0.242349 0.191178i
\(429\) −6.44229 17.6516i −0.311036 0.852229i
\(430\) −27.8807 25.7644i −1.34453 1.24247i
\(431\) −0.998546 + 0.998546i −0.0480983 + 0.0480983i −0.730747 0.682649i \(-0.760828\pi\)
0.682649 + 0.730747i \(0.260828\pi\)
\(432\) −18.9598 + 8.51615i −0.912205 + 0.409733i
\(433\) 11.2774 + 11.2774i 0.541957 + 0.541957i 0.924102 0.382145i \(-0.124815\pi\)
−0.382145 + 0.924102i \(0.624815\pi\)
\(434\) 0.0511037 + 1.29539i 0.00245306 + 0.0621809i
\(435\) −15.4790 + 5.64934i −0.742161 + 0.270865i
\(436\) −19.4635 + 5.49600i −0.932132 + 0.263210i
\(437\) 11.9401 + 35.1744i 0.571172 + 1.68262i
\(438\) −15.0297 + 6.16707i −0.718145 + 0.294674i
\(439\) −34.8794 4.59196i −1.66470 0.219162i −0.761436 0.648241i \(-0.775505\pi\)
−0.903267 + 0.429078i \(0.858838\pi\)
\(440\) −31.9698 + 3.79944i −1.52410 + 0.181131i
\(441\) −12.7228 + 5.96006i −0.605848 + 0.283812i
\(442\) 11.9687 + 5.32653i 0.569295 + 0.253357i
\(443\) 1.50024 0.0983310i 0.0712786 0.00467185i −0.0297221 0.999558i \(-0.509462\pi\)
0.101001 + 0.994886i \(0.467796\pi\)
\(444\) −14.3801 + 23.3005i −0.682451 + 1.10579i
\(445\) 13.2318 + 15.0880i 0.627249 + 0.715240i
\(446\) −0.729094 + 7.94862i −0.0345236 + 0.376378i
\(447\) 19.6991 + 2.13984i 0.931734 + 0.101211i
\(448\) 2.88438 + 27.1920i 0.136274 + 1.28470i
\(449\) 17.0079i 0.802654i 0.915935 + 0.401327i \(0.131451\pi\)
−0.915935 + 0.401327i \(0.868549\pi\)
\(450\) −5.79370 26.4390i −0.273118 1.24635i
\(451\) 5.60760 + 28.1913i 0.264051 + 1.32748i
\(452\) −26.9813 + 18.5564i −1.26909 + 0.872821i
\(453\) 4.72689 7.43418i 0.222089 0.349288i
\(454\) 34.1584 3.59572i 1.60313 0.168755i
\(455\) −4.83886 36.7548i −0.226849 1.72309i
\(456\) 10.1349 + 36.3531i 0.474611 + 1.70239i
\(457\) 4.70017 35.7013i 0.219865 1.67004i −0.424583 0.905389i \(-0.639579\pi\)
0.644448 0.764648i \(-0.277087\pi\)
\(458\) −28.0628 0.730360i −1.31129 0.0341275i
\(459\) −7.45126 + 12.9851i −0.347795 + 0.606092i
\(460\) 7.99780 31.5337i 0.372899 1.47027i
\(461\) 6.61855 3.26391i 0.308257 0.152015i −0.281581 0.959538i \(-0.590859\pi\)
0.589837 + 0.807522i \(0.299192\pi\)
\(462\) 1.94136 28.1842i 0.0903200 1.31125i
\(463\) −29.4929 7.90259i −1.37065 0.367264i −0.502934 0.864325i \(-0.667746\pi\)
−0.867716 + 0.497061i \(0.834413\pi\)
\(464\) −11.1189 1.90325i −0.516181 0.0883562i
\(465\) 0.566652 1.46095i 0.0262779 0.0677500i
\(466\) 8.05288 8.71435i 0.373042 0.403685i
\(467\) −10.7489 7.18217i −0.497399 0.332351i 0.281437 0.959580i \(-0.409189\pi\)
−0.778835 + 0.627229i \(0.784189\pi\)
\(468\) 19.2408 + 1.38956i 0.889404 + 0.0642326i
\(469\) −38.9951 7.75660i −1.80062 0.358166i
\(470\) −10.2616 42.7124i −0.473331 1.97018i
\(471\) −12.5935 + 3.68272i −0.580280 + 0.169691i
\(472\) 12.6576 + 11.3860i 0.582615 + 0.524083i
\(473\) 3.50469 + 26.6208i 0.161146 + 1.22402i
\(474\) −5.06714 19.1653i −0.232742 0.880292i
\(475\) −49.0402 + 3.21427i −2.25012 + 0.147481i
\(476\) 13.1840 + 14.6329i 0.604289 + 0.670699i
\(477\) −0.206489 0.374813i −0.00945450 0.0171615i
\(478\) −33.4156 + 5.74735i −1.52839 + 0.262878i
\(479\) 9.42190 + 5.43974i 0.430498 + 0.248548i 0.699559 0.714575i \(-0.253380\pi\)
−0.269061 + 0.963123i \(0.586713\pi\)
\(480\) 9.88597 31.5390i 0.451231 1.43955i
\(481\) 22.0082 12.7064i 1.00349 0.579364i
\(482\) 3.87756 3.22598i 0.176618 0.146940i
\(483\) 25.8830 + 12.0417i 1.17772 + 0.547916i
\(484\) 0.646873 + 0.419790i 0.0294033 + 0.0190814i
\(485\) −26.0024 38.9153i −1.18071 1.76705i
\(486\) −3.82377 + 21.7113i −0.173450 + 0.984843i
\(487\) 3.90744 + 1.61852i 0.177063 + 0.0733420i 0.469454 0.882957i \(-0.344451\pi\)
−0.292391 + 0.956299i \(0.594451\pi\)
\(488\) −9.42534 6.47120i −0.426665 0.292938i
\(489\) 39.6675 + 9.66954i 1.79383 + 0.437272i
\(490\) 6.34204 21.4230i 0.286504 0.967791i
\(491\) 11.3655 + 33.4816i 0.512916 + 1.51100i 0.827330 + 0.561717i \(0.189859\pi\)
−0.314413 + 0.949286i \(0.601808\pi\)
\(492\) −28.7606 6.60354i −1.29663 0.297711i
\(493\) −7.28744 + 3.59377i −0.328210 + 0.161855i
\(494\) 7.72495 34.1648i 0.347562 1.53714i
\(495\) −15.7143 + 30.3172i −0.706305 + 1.36266i
\(496\) 0.833261 0.675645i 0.0374145 0.0303373i
\(497\) −13.5527 50.5794i −0.607922 2.26880i
\(498\) 24.0936 11.7823i 1.07966 0.527977i
\(499\) −0.228337 + 3.48375i −0.0102218 + 0.155954i 0.989697 + 0.143180i \(0.0457328\pi\)
−0.999918 + 0.0127738i \(0.995934\pi\)
\(500\) 8.12247 + 4.54539i 0.363248 + 0.203276i
\(501\) 17.6573 + 5.55023i 0.788870 + 0.247966i
\(502\) 25.0906 + 15.3700i 1.11985 + 0.685998i
\(503\) −32.7616 + 13.5703i −1.46077 + 0.605070i −0.964733 0.263231i \(-0.915212\pi\)
−0.496036 + 0.868302i \(0.665212\pi\)
\(504\) 25.5794 + 13.6705i 1.13940 + 0.608933i
\(505\) −15.3153 6.34381i −0.681522 0.282296i
\(506\) −18.6131 + 13.5277i −0.827452 + 0.601382i
\(507\) 3.89206 + 2.47470i 0.172852 + 0.109905i
\(508\) −9.89182 8.44294i −0.438879 0.374595i
\(509\) 28.0696 24.6164i 1.24416 1.09110i 0.251798 0.967780i \(-0.418978\pi\)
0.992367 0.123324i \(-0.0393553\pi\)
\(510\) −7.57768 22.5692i −0.335545 0.999381i
\(511\) 19.6325 + 11.3348i 0.868490 + 0.501423i
\(512\) 16.5937 15.3834i 0.733345 0.679857i
\(513\) 37.9383 + 12.7666i 1.67502 + 0.563659i
\(514\) −1.97859 + 2.80059i −0.0872720 + 0.123529i
\(515\) −4.72415 + 13.9169i −0.208171 + 0.613252i
\(516\) −26.4054 7.91255i −1.16243 0.348331i
\(517\) −13.7418 + 27.8657i −0.604365 + 1.22553i
\(518\) 37.9977 3.99986i 1.66952 0.175744i
\(519\) −0.995854 43.8674i −0.0437131 1.92556i
\(520\) −21.9635 + 21.4165i −0.963164 + 0.939174i
\(521\) −8.19247 19.7784i −0.358919 0.866507i −0.995453 0.0952579i \(-0.969632\pi\)
0.636534 0.771249i \(-0.280368\pi\)
\(522\) −8.29495 + 8.62277i −0.363060 + 0.377408i
\(523\) −0.0111302 0.00221393i −0.000486690 9.68086e-5i 0.194847 0.980834i \(-0.437579\pi\)
−0.195334 + 0.980737i \(0.562579\pi\)
\(524\) 16.6427 0.223189i 0.727038 0.00975007i
\(525\) −24.2519 + 28.9541i −1.05844 + 1.26366i
\(526\) 14.0387 26.6936i 0.612117 1.16389i
\(527\) 0.199992 0.746379i 0.00871177 0.0325128i
\(528\) −19.6421 + 12.6765i −0.854814 + 0.551675i
\(529\) −0.0649038 0.242224i −0.00282190 0.0105315i
\(530\) 0.663745 + 0.150079i 0.0288312 + 0.00651899i
\(531\) 17.5328 4.32301i 0.760860 0.187603i
\(532\) 31.4957 42.2061i 1.36551 1.82987i
\(533\) 20.5916 + 18.0583i 0.891920 + 0.782192i
\(534\) 13.4442 + 5.62115i 0.581786 + 0.243251i
\(535\) 8.54530 + 6.55704i 0.369445 + 0.283485i
\(536\) 14.1782 + 29.6885i 0.612404 + 1.28235i
\(537\) −19.3990 + 11.7950i −0.837127 + 0.508991i
\(538\) 12.6592 + 2.00294i 0.545777 + 0.0863531i
\(539\) −13.1392 + 8.77930i −0.565943 + 0.378151i
\(540\) −21.7851 27.4665i −0.937481 1.18197i
\(541\) 1.75551 + 8.82552i 0.0754751 + 0.379439i 0.999999 0.00168617i \(-0.000536726\pi\)
−0.924523 + 0.381125i \(0.875537\pi\)
\(542\) −5.13917 + 13.9372i −0.220746 + 0.598654i
\(543\) −8.61463 + 11.7706i −0.369689 + 0.505125i
\(544\) 3.16689 15.9878i 0.135779 0.685473i
\(545\) −17.0562 29.5423i −0.730609 1.26545i
\(546\) −14.8809 22.4318i −0.636843 0.959993i
\(547\) 14.2981 42.1208i 0.611342 1.80095i 0.0127247 0.999919i \(-0.495950\pi\)
0.598617 0.801035i \(-0.295717\pi\)
\(548\) 7.01675 6.32198i 0.299741 0.270062i
\(549\) −11.2943 + 4.41502i −0.482027 + 0.188429i
\(550\) −10.9143 28.4191i −0.465387 1.21180i
\(551\) 13.2254 + 17.2357i 0.563421 + 0.734265i
\(552\) −4.84198 23.1209i −0.206088 0.984089i
\(553\) −16.8399 + 21.9462i −0.716107 + 0.933249i
\(554\) −0.805985 + 2.72256i −0.0342430 + 0.115670i
\(555\) −44.0573 13.8485i −1.87013 0.587838i
\(556\) 2.50079 + 0.996788i 0.106057 + 0.0422732i
\(557\) −7.17718 + 10.7414i −0.304107 + 0.455128i −0.951776 0.306794i \(-0.900744\pi\)
0.647669 + 0.761922i \(0.275744\pi\)
\(558\) −0.0964013 1.13375i −0.00408099 0.0479953i
\(559\) 18.0909 + 18.0909i 0.765163 + 0.765163i
\(560\) −43.2607 + 15.9912i −1.82810 + 0.675750i
\(561\) −6.08918 + 15.6992i −0.257085 + 0.662822i
\(562\) 1.87280 3.56098i 0.0789991 0.150211i
\(563\) 17.6800 + 1.15881i 0.745124 + 0.0488380i 0.433236 0.901281i \(-0.357372\pi\)
0.311889 + 0.950119i \(0.399038\pi\)
\(564\) −20.3186 24.5882i −0.855568 1.03535i
\(565\) −41.5263 36.4176i −1.74702 1.53210i
\(566\) 0.452902 17.4020i 0.0190369 0.731461i
\(567\) 27.2366 14.3007i 1.14383 0.600572i
\(568\) −26.8093 + 34.0411i −1.12489 + 1.42833i
\(569\) −13.8401 18.0367i −0.580206 0.756139i 0.407373 0.913262i \(-0.366445\pi\)
−0.987579 + 0.157123i \(0.949778\pi\)
\(570\) −55.2319 + 31.6439i −2.31341 + 1.32542i
\(571\) −9.47386 4.67199i −0.396469 0.195517i 0.233115 0.972449i \(-0.425108\pi\)
−0.629584 + 0.776932i \(0.716775\pi\)
\(572\) 21.6300 1.70928i 0.904395 0.0714685i
\(573\) 16.7899 11.7784i 0.701407 0.492052i
\(574\) 17.2453 + 37.3923i 0.719806 + 1.56072i
\(575\) 30.7618 1.28286
\(576\) −3.61201 23.7266i −0.150501 0.988610i
\(577\) −31.4599 −1.30969 −0.654847 0.755761i \(-0.727267\pi\)
−0.654847 + 0.755761i \(0.727267\pi\)
\(578\) 5.15209 + 11.1710i 0.214299 + 0.464654i
\(579\) −1.66840 18.8783i −0.0693363 0.784556i
\(580\) −1.49889 18.9677i −0.0622381 0.787589i
\(581\) −33.5659 16.5529i −1.39255 0.686729i
\(582\) −29.3752 17.0901i −1.21764 0.708409i
\(583\) −0.293005 0.381851i −0.0121350 0.0158147i
\(584\) −2.21382 18.6279i −0.0916084 0.770826i
\(585\) 5.70654 + 32.0333i 0.235936 + 1.32441i
\(586\) 0.00322853 0.124051i 0.000133369 0.00512449i
\(587\) 18.9325 + 16.6033i 0.781427 + 0.685293i 0.954034 0.299698i \(-0.0968858\pi\)
−0.172607 + 0.984991i \(0.555219\pi\)
\(588\) −2.69680 15.9974i −0.111214 0.659722i
\(589\) −2.06159 0.135124i −0.0849464 0.00556768i
\(590\) −13.3666 + 25.4155i −0.550292 + 1.04634i
\(591\) 3.42481 0.530218i 0.140878 0.0218102i
\(592\) −21.4761 23.2030i −0.882664 0.953636i
\(593\) 10.3823 + 10.3823i 0.426351 + 0.426351i 0.887383 0.461032i \(-0.152521\pi\)
−0.461032 + 0.887383i \(0.652521\pi\)
\(594\) −0.579596 + 24.7888i −0.0237811 + 1.01710i
\(595\) −18.4568 + 27.6225i −0.756653 + 1.13241i
\(596\) −8.47168 + 21.2542i −0.347013 + 0.870605i
\(597\) 10.9377 10.0403i 0.447650 0.410922i
\(598\) −6.22360 + 21.0229i −0.254502 + 0.859688i
\(599\) −15.6283 + 20.3672i −0.638557 + 0.832183i −0.994761 0.102225i \(-0.967404\pi\)
0.356205 + 0.934408i \(0.384071\pi\)
\(600\) 31.2056 + 1.72939i 1.27397 + 0.0706019i
\(601\) 3.27004 + 4.26159i 0.133388 + 0.173834i 0.855272 0.518180i \(-0.173390\pi\)
−0.721884 + 0.692014i \(0.756724\pi\)
\(602\) 13.7905 + 35.9084i 0.562059 + 1.46352i
\(603\) 34.4992 + 5.24772i 1.40491 + 0.213704i
\(604\) 6.80918 + 7.55749i 0.277061 + 0.307510i
\(605\) −0.418090 + 1.23165i −0.0169978 + 0.0500739i
\(606\) −12.0139 + 0.747354i −0.488031 + 0.0303592i
\(607\) −13.2884 23.0162i −0.539361 0.934200i −0.998939 0.0460628i \(-0.985333\pi\)
0.459578 0.888138i \(-0.348001\pi\)
\(608\) −43.5778 + 0.0348519i −1.76731 + 0.00141343i
\(609\) 16.5984 + 1.80303i 0.672602 + 0.0730623i
\(610\) 6.67158 18.0930i 0.270124 0.732565i
\(611\) 5.77560 + 29.0359i 0.233656 + 1.17467i
\(612\) −12.1424 12.3048i −0.490826 0.497392i
\(613\) −10.8815 + 7.27080i −0.439501 + 0.293665i −0.755566 0.655072i \(-0.772638\pi\)
0.316065 + 0.948737i \(0.397638\pi\)
\(614\) 44.0760 + 6.97372i 1.77876 + 0.281436i
\(615\) −1.12961 49.7595i −0.0455504 2.00650i
\(616\) 30.7556 + 10.8745i 1.23918 + 0.438147i
\(617\) 5.96918 + 4.58031i 0.240310 + 0.184396i 0.721894 0.692004i \(-0.243272\pi\)
−0.481584 + 0.876400i \(0.659938\pi\)
\(618\) 1.35779 + 10.5850i 0.0546182 + 0.425793i
\(619\) 3.64026 + 3.19242i 0.146314 + 0.128314i 0.729374 0.684115i \(-0.239811\pi\)
−0.583060 + 0.812429i \(0.698145\pi\)
\(620\) 1.45014 + 1.08215i 0.0582392 + 0.0434602i
\(621\) −23.1734 9.52706i −0.929916 0.382308i
\(622\) −3.66157 0.827913i −0.146816 0.0331963i
\(623\) −5.26284 19.6412i −0.210851 0.786908i
\(624\) −7.49526 + 20.9763i −0.300051 + 0.839723i
\(625\) 4.19253 15.6467i 0.167701 0.625870i
\(626\) 8.00001 15.2114i 0.319745 0.607971i
\(627\) 44.3452 + 7.77898i 1.77098 + 0.310663i
\(628\) −0.203164 15.1494i −0.00810713 0.604528i
\(629\) −22.3357 4.44285i −0.890583 0.177148i
\(630\) −11.7434 + 47.4889i −0.467869 + 1.89200i
\(631\) −14.8187 35.7755i −0.589923 1.42420i −0.883576 0.468288i \(-0.844871\pi\)
0.293652 0.955912i \(-0.405129\pi\)
\(632\) 22.8888 + 0.288646i 0.910467 + 0.0114817i
\(633\) 18.1975 + 9.96263i 0.723285 + 0.395979i
\(634\) 24.5345 2.58265i 0.974391 0.102570i
\(635\) 9.70178 19.6733i 0.385003 0.780710i
\(636\) 0.480839 0.113832i 0.0190665 0.00451374i
\(637\) −4.83998 + 14.2581i −0.191767 + 0.564927i
\(638\) −7.76518 + 10.9912i −0.307426 + 0.435146i
\(639\) 13.8973 + 43.8074i 0.549770 + 1.73299i
\(640\) 32.0314 + 20.7505i 1.26615 + 0.820234i
\(641\) −15.2534 8.80657i −0.602474 0.347839i 0.167540 0.985865i \(-0.446418\pi\)
−0.770014 + 0.638027i \(0.779751\pi\)
\(642\) 7.66579 + 1.55132i 0.302545 + 0.0612255i
\(643\) 24.3450 21.3500i 0.960072 0.841960i −0.0274213 0.999624i \(-0.508730\pi\)
0.987493 + 0.157664i \(0.0503962\pi\)
\(644\) −21.3999 + 25.0723i −0.843274 + 0.987986i
\(645\) 1.98713 46.4517i 0.0782430 1.82903i
\(646\) −25.3913 + 18.4540i −0.999005 + 0.726064i
\(647\) −12.5425 5.19528i −0.493097 0.204248i 0.122257 0.992499i \(-0.460987\pi\)
−0.615354 + 0.788251i \(0.710987\pi\)
\(648\) −22.9721 10.9673i −0.902430 0.430836i
\(649\) 18.7646 7.77255i 0.736575 0.305099i
\(650\) −24.7353 15.1524i −0.970199 0.594325i
\(651\) −1.16968 + 1.07371i −0.0458432 + 0.0420819i
\(652\) −23.0230 + 41.1415i −0.901652 + 1.61122i
\(653\) 2.15173 32.8291i 0.0842038 1.28470i −0.721513 0.692401i \(-0.756553\pi\)
0.805717 0.592301i \(-0.201780\pi\)
\(654\) −20.5496 13.8298i −0.803554 0.540788i
\(655\) 7.26593 + 27.1168i 0.283904 + 1.05954i
\(656\) 16.2396 29.9552i 0.634048 1.16956i
\(657\) −17.6649 9.15624i −0.689173 0.357219i
\(658\) −9.81629 + 43.4140i −0.382679 + 1.69245i
\(659\) 24.2584 11.9629i 0.944974 0.466010i 0.0965508 0.995328i \(-0.469219\pi\)
0.848423 + 0.529318i \(0.177552\pi\)
\(660\) −28.8699 26.8568i −1.12376 1.04540i
\(661\) 9.75674 + 28.7424i 0.379493 + 1.11795i 0.954091 + 0.299515i \(0.0968250\pi\)
−0.574598 + 0.818436i \(0.694842\pi\)
\(662\) 1.29585 4.37728i 0.0503646 0.170128i
\(663\) 4.50336 + 15.3998i 0.174896 + 0.598079i
\(664\) 5.65832 + 30.4480i 0.219585 + 1.18161i
\(665\) 82.0635 + 33.9918i 3.18229 + 1.31815i
\(666\) −33.1564 + 5.02042i −1.28479 + 0.194537i
\(667\) −7.55492 11.3067i −0.292528 0.437798i
\(668\) −11.6345 + 17.9281i −0.450153 + 0.693661i
\(669\) −8.00301 + 5.61428i −0.309414 + 0.217061i
\(670\) −42.6591 + 35.4908i −1.64807 + 1.37113i
\(671\) −11.8120 + 6.81966i −0.455997 + 0.263270i
\(672\) −23.1182 + 24.2309i −0.891802 + 0.934729i
\(673\) −16.5353 9.54668i −0.637390 0.367998i 0.146218 0.989252i \(-0.453290\pi\)
−0.783609 + 0.621255i \(0.786623\pi\)
\(674\) 34.0541 5.85716i 1.31171 0.225610i
\(675\) 20.1105 26.3524i 0.774053 1.01430i
\(676\) −3.95662 + 3.56485i −0.152178 + 0.137110i
\(677\) −9.02809 + 0.591732i −0.346978 + 0.0227421i −0.237896 0.971291i \(-0.576458\pi\)
−0.109082 + 0.994033i \(0.534791\pi\)
\(678\) −38.7048 10.5089i −1.48645 0.403590i
\(679\) 6.18998 + 47.0176i 0.237550 + 1.80437i
\(680\) 27.4520 1.45191i 1.05274 0.0556781i
\(681\) 30.4129 + 29.0627i 1.16543 + 1.11369i
\(682\) −0.298958 1.24437i −0.0114477 0.0476496i
\(683\) −12.0569 2.39827i −0.461346 0.0917674i −0.0410551 0.999157i \(-0.513072\pi\)
−0.420291 + 0.907390i \(0.638072\pi\)
\(684\) −25.9339 + 38.2600i −0.991608 + 1.46291i
\(685\) 13.2455 + 8.85035i 0.506084 + 0.338154i
\(686\) 7.60064 8.22496i 0.290194 0.314030i
\(687\) −21.5438 26.7946i −0.821946 1.02228i
\(688\) 16.9676 26.9302i 0.646885 1.02671i
\(689\) −0.442990 0.118699i −0.0168766 0.00452207i
\(690\) 35.7929 17.5035i 1.36261 0.666348i
\(691\) 12.1868 6.00986i 0.463607 0.228626i −0.195457 0.980712i \(-0.562619\pi\)
0.659064 + 0.752086i \(0.270952\pi\)
\(692\) 49.1117 + 12.4561i 1.86695 + 0.473509i
\(693\) 27.8671 20.5086i 1.05858 0.779058i
\(694\) 5.25927 + 0.136877i 0.199639 + 0.00519578i
\(695\) −0.592689 + 4.50192i −0.0224820 + 0.170768i
\(696\) −7.02827 11.8946i −0.266406 0.450863i
\(697\) −3.20356 24.3335i −0.121344 0.921696i
\(698\) −21.1754 + 2.22905i −0.801501 + 0.0843707i
\(699\) 14.5189 + 0.621093i 0.549154 + 0.0234919i
\(700\) −24.7135 35.9338i −0.934083 1.35817i
\(701\) 6.79123 + 34.1418i 0.256501 + 1.28952i 0.867321 + 0.497749i \(0.165840\pi\)
−0.610820 + 0.791769i \(0.709160\pi\)
\(702\) 13.9408 + 19.0752i 0.526160 + 0.719945i
\(703\) 60.8897i 2.29650i
\(704\) −8.02958 25.7721i −0.302626 0.971324i
\(705\) 31.7744 43.4150i 1.19669 1.63510i
\(706\) −0.0810111 + 0.883188i −0.00304889 + 0.0332392i
\(707\) 11.0749 + 12.6285i 0.416516 + 0.474945i
\(708\) −0.611745 + 20.8425i −0.0229908 + 0.783310i
\(709\) −25.4295 + 1.66674i −0.955025 + 0.0625956i −0.534941 0.844890i \(-0.679666\pi\)
−0.420084 + 0.907485i \(0.637999\pi\)
\(710\) −66.7711 29.7156i −2.50587 1.11521i
\(711\) 13.8909 19.9128i 0.520949 0.746789i
\(712\) −10.4107 + 13.2190i −0.390158 + 0.495401i
\(713\) 1.28213 + 0.168795i 0.0480160 + 0.00632143i
\(714\) −3.22811 + 23.9059i −0.120809 + 0.894655i
\(715\) 11.7636 + 34.6545i 0.439934 + 1.29600i
\(716\) −7.12403 25.2290i −0.266237 0.942852i
\(717\) −31.8346 26.6647i −1.18889 0.995810i
\(718\) 0.435535 + 11.0401i 0.0162540 + 0.412013i
\(719\) −13.8080 13.8080i −0.514951 0.514951i 0.401088 0.916039i \(-0.368632\pi\)
−0.916039 + 0.401088i \(0.868632\pi\)
\(720\) 37.2934 15.7438i 1.38984 0.586738i
\(721\) 10.5300 10.5300i 0.392157 0.392157i
\(722\) 41.9034 + 38.7227i 1.55948 + 1.44111i
\(723\) 6.08477 + 1.06738i 0.226295 + 0.0396964i
\(724\) −10.4315 13.2236i −0.387683 0.491450i
\(725\) 17.0366 5.78315i 0.632724 0.214781i
\(726\) 0.120165 + 0.936784i 0.00445974 + 0.0347673i
\(727\) −2.77171 + 21.0533i −0.102797 + 0.780822i 0.859942 + 0.510391i \(0.170499\pi\)
−0.962739 + 0.270431i \(0.912834\pi\)
\(728\) 29.5573 9.61944i 1.09547 0.356520i
\(729\) −23.3110 + 13.6234i −0.863370 + 0.504571i
\(730\) 29.5370 11.3436i 1.09321 0.419847i
\(731\) −1.49949 22.8779i −0.0554608 0.846168i
\(732\) −1.41961 13.9304i −0.0524704 0.514881i
\(733\) 12.8087 11.2329i 0.473099 0.414897i −0.389312 0.921106i \(-0.627287\pi\)
0.862411 + 0.506210i \(0.168954\pi\)
\(734\) 5.02476 4.18041i 0.185467 0.154302i
\(735\) 25.0362 11.0425i 0.923473 0.407309i
\(736\) 27.2198 + 1.76222i 1.00334 + 0.0649563i
\(737\) 39.2493 1.44577
\(738\) −16.6097 32.0981i −0.611412 1.18155i
\(739\) 37.0640 7.37249i 1.36342 0.271202i 0.541452 0.840732i \(-0.317875\pi\)
0.821970 + 0.569530i \(0.192875\pi\)
\(740\) 29.0297 44.7331i 1.06715 1.64442i
\(741\) 38.0348 19.8422i 1.39724 0.728923i
\(742\) −0.535926 0.433842i −0.0196745 0.0159269i
\(743\) 46.4406 6.11403i 1.70374 0.224302i 0.785093 0.619378i \(-0.212615\pi\)
0.918649 + 0.395076i \(0.129282\pi\)
\(744\) 1.29114 + 0.243310i 0.0473353 + 0.00892017i
\(745\) −38.2617 5.03725i −1.40180 0.184551i
\(746\) −23.7100 + 22.5072i −0.868087 + 0.824047i
\(747\) 30.0893 + 13.1764i 1.10091 + 0.482099i
\(748\) −15.5831 11.6287i −0.569774 0.425186i
\(749\) −4.82707 9.78834i −0.176377 0.357658i
\(750\) 2.18681 + 11.1880i 0.0798509 + 0.408527i
\(751\) 1.96469 7.33234i 0.0716927 0.267561i −0.920770 0.390105i \(-0.872439\pi\)
0.992463 + 0.122544i \(0.0391054\pi\)
\(752\) 33.6378 15.0023i 1.22664 0.547078i
\(753\) 5.51345 + 35.6127i 0.200921 + 1.29780i
\(754\) 0.505476 + 12.8130i 0.0184083 + 0.466621i
\(755\) −9.53239 + 14.2662i −0.346919 + 0.519201i
\(756\) 7.48827 + 34.7234i 0.272346 + 1.26288i
\(757\) −0.604584 + 3.03945i −0.0219740 + 0.110471i −0.990216 0.139545i \(-0.955436\pi\)
0.968242 + 0.250016i \(0.0804359\pi\)
\(758\) −8.45396 + 13.8006i −0.307062 + 0.501259i
\(759\) −27.3793 6.67411i −0.993806 0.242255i
\(760\) −18.1269 71.2316i −0.657532 2.58384i
\(761\) −40.7523 + 5.36514i −1.47727 + 0.194486i −0.825703 0.564105i \(-0.809221\pi\)
−0.651566 + 0.758592i \(0.725888\pi\)
\(762\) 0.0529188 15.9278i 0.00191705 0.577003i
\(763\) 2.26063 + 34.4905i 0.0818402 + 1.24864i
\(764\) 7.91239 + 22.3212i 0.286260 + 0.807553i
\(765\) 15.0824 24.9541i 0.545306 0.902216i
\(766\) −0.447621 0.316240i −0.0161732 0.0114262i
\(767\) 9.67647 16.7601i 0.349397 0.605173i
\(768\) 27.5135 + 3.31790i 0.992807 + 0.119725i
\(769\) −4.16975 7.22222i −0.150365 0.260440i 0.780997 0.624535i \(-0.214712\pi\)
−0.931362 + 0.364095i \(0.881378\pi\)
\(770\) −5.02585 + 54.7921i −0.181119 + 1.97457i
\(771\) −4.18337 +