Properties

Label 576.2.bl.a.11.14
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 11.14
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26628 + 0.629706i) q^{2} +(1.72410 + 0.165818i) q^{3} +(1.20694 - 1.59477i) q^{4} +(-1.13197 - 0.558226i) q^{5} +(-2.28761 + 0.875702i) q^{6} +(3.03857 + 3.95994i) q^{7} +(-0.524089 + 2.77945i) q^{8} +(2.94501 + 0.571771i) q^{9} +O(q^{10})\) \(q+(-1.26628 + 0.629706i) q^{2} +(1.72410 + 0.165818i) q^{3} +(1.20694 - 1.59477i) q^{4} +(-1.13197 - 0.558226i) q^{5} +(-2.28761 + 0.875702i) q^{6} +(3.03857 + 3.95994i) q^{7} +(-0.524089 + 2.77945i) q^{8} +(2.94501 + 0.571771i) q^{9} +(1.78491 - 0.00593726i) q^{10} +(1.97099 + 1.72851i) q^{11} +(2.34532 - 2.54941i) q^{12} +(-0.913144 - 0.0598506i) q^{13} +(-6.34129 - 3.10100i) q^{14} +(-1.85906 - 1.15014i) q^{15} +(-1.08659 - 3.84959i) q^{16} +(-3.51679 - 3.51679i) q^{17} +(-4.08926 + 1.13047i) q^{18} +(0.121778 - 0.182254i) q^{19} +(-2.25646 + 1.13149i) q^{20} +(4.58216 + 7.33117i) q^{21} +(-3.58428 - 0.947637i) q^{22} +(-2.61217 + 3.40424i) q^{23} +(-1.36446 + 4.70513i) q^{24} +(-2.07407 - 2.70298i) q^{25} +(1.19399 - 0.499225i) q^{26} +(4.98267 + 1.47412i) q^{27} +(9.98258 - 0.0664121i) q^{28} +(-0.276780 + 0.815366i) q^{29} +(3.07834 + 0.285734i) q^{30} +(5.21295 + 9.02909i) q^{31} +(3.80004 + 4.19043i) q^{32} +(3.11155 + 3.30694i) q^{33} +(6.66779 + 2.23870i) q^{34} +(-1.22903 - 6.17875i) q^{35} +(4.46629 - 4.00652i) q^{36} +(4.70139 - 3.14137i) q^{37} +(-0.0394392 + 0.307470i) q^{38} +(-1.56442 - 0.254604i) q^{39} +(2.14481 - 2.85369i) q^{40} +(-4.50511 - 3.45689i) q^{41} +(-10.4188 - 6.39791i) q^{42} +(1.18235 + 1.03690i) q^{43} +(5.13544 - 1.05707i) q^{44} +(-3.01448 - 2.29121i) q^{45} +(1.16407 - 5.95563i) q^{46} +(0.499351 + 1.86360i) q^{47} +(-1.23506 - 6.81723i) q^{48} +(-4.63650 + 17.3037i) q^{49} +(4.32844 + 2.11668i) q^{50} +(-5.48013 - 6.64642i) q^{51} +(-1.19756 + 1.38402i) q^{52} +(12.9837 + 2.58262i) q^{53} +(-7.23772 + 1.27096i) q^{54} +(-1.26620 - 3.05688i) q^{55} +(-12.5989 + 6.37019i) q^{56} +(0.240179 - 0.294031i) q^{57} +(-0.162960 - 1.20677i) q^{58} +(2.79629 - 5.67031i) q^{59} +(-4.07798 + 1.57663i) q^{60} +(1.44317 - 4.25144i) q^{61} +(-12.2867 - 8.15075i) q^{62} +(6.68444 + 13.3994i) q^{63} +(-7.45066 - 2.91336i) q^{64} +(1.00024 + 0.577490i) q^{65} +(-6.02250 - 2.22815i) q^{66} +(-0.225149 + 0.197450i) q^{67} +(-9.85303 + 1.36392i) q^{68} +(-5.06811 + 5.43609i) q^{69} +(5.44709 + 7.05011i) q^{70} +(-7.95861 - 3.29657i) q^{71} +(-3.13266 + 7.88584i) q^{72} +(4.30758 - 1.78426i) q^{73} +(-3.97514 + 6.93835i) q^{74} +(-3.12769 - 5.00411i) q^{75} +(-0.143675 - 0.414179i) q^{76} +(-0.855814 + 13.0572i) q^{77} +(2.14133 - 0.662727i) q^{78} +(-2.96316 - 11.0587i) q^{79} +(-0.918950 + 4.96418i) q^{80} +(8.34616 + 3.36774i) q^{81} +(7.88157 + 1.54051i) q^{82} +(9.06572 - 4.47072i) q^{83} +(17.2219 + 1.54079i) q^{84} +(2.01774 + 5.94406i) q^{85} +(-2.15013 - 0.568467i) q^{86} +(-0.612396 + 1.35987i) q^{87} +(-5.83727 + 4.57236i) q^{88} +(3.82828 + 1.58573i) q^{89} +(5.25997 + 1.00308i) q^{90} +(-2.53765 - 3.79786i) q^{91} +(2.27626 + 8.27452i) q^{92} +(7.49044 + 16.4314i) q^{93} +(-1.80584 - 2.04540i) q^{94} +(-0.239589 + 0.138327i) q^{95} +(5.85678 + 7.85481i) q^{96} +(-7.44864 - 4.30048i) q^{97} +(-5.02510 - 24.8309i) q^{98} +(4.81626 + 6.21743i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26628 + 0.629706i −0.895397 + 0.445270i
\(3\) 1.72410 + 0.165818i 0.995407 + 0.0957349i
\(4\) 1.20694 1.59477i 0.603470 0.797386i
\(5\) −1.13197 0.558226i −0.506232 0.249646i 0.171193 0.985237i \(-0.445238\pi\)
−0.677426 + 0.735591i \(0.736904\pi\)
\(6\) −2.28761 + 0.875702i −0.933912 + 0.357504i
\(7\) 3.03857 + 3.95994i 1.14847 + 1.49672i 0.837615 + 0.546261i \(0.183949\pi\)
0.310857 + 0.950457i \(0.399384\pi\)
\(8\) −0.524089 + 2.77945i −0.185293 + 0.982683i
\(9\) 2.94501 + 0.571771i 0.981670 + 0.190590i
\(10\) 1.78491 0.00593726i 0.564438 0.00187753i
\(11\) 1.97099 + 1.72851i 0.594275 + 0.521165i 0.902805 0.430049i \(-0.141504\pi\)
−0.308530 + 0.951214i \(0.599837\pi\)
\(12\) 2.34532 2.54941i 0.677036 0.735950i
\(13\) −0.913144 0.0598506i −0.253261 0.0165996i −0.0617560 0.998091i \(-0.519670\pi\)
−0.191505 + 0.981492i \(0.561337\pi\)
\(14\) −6.34129 3.10100i −1.69478 0.828776i
\(15\) −1.85906 1.15014i −0.480007 0.296964i
\(16\) −1.08659 3.84959i −0.271648 0.962397i
\(17\) −3.51679 3.51679i −0.852946 0.852946i 0.137549 0.990495i \(-0.456078\pi\)
−0.990495 + 0.137549i \(0.956078\pi\)
\(18\) −4.08926 + 1.13047i −0.963848 + 0.266454i
\(19\) 0.121778 0.182254i 0.0279379 0.0418120i −0.817238 0.576301i \(-0.804496\pi\)
0.845176 + 0.534489i \(0.179496\pi\)
\(20\) −2.25646 + 1.13149i −0.504560 + 0.253008i
\(21\) 4.58216 + 7.33117i 0.999909 + 1.59979i
\(22\) −3.58428 0.947637i −0.764171 0.202037i
\(23\) −2.61217 + 3.40424i −0.544674 + 0.709833i −0.981875 0.189531i \(-0.939303\pi\)
0.437200 + 0.899364i \(0.355970\pi\)
\(24\) −1.36446 + 4.70513i −0.278519 + 0.960431i
\(25\) −2.07407 2.70298i −0.414813 0.540595i
\(26\) 1.19399 0.499225i 0.234160 0.0979060i
\(27\) 4.98267 + 1.47412i 0.958915 + 0.283695i
\(28\) 9.98258 0.0664121i 1.88653 0.0125507i
\(29\) −0.276780 + 0.815366i −0.0513967 + 0.151410i −0.969597 0.244706i \(-0.921309\pi\)
0.918201 + 0.396115i \(0.129642\pi\)
\(30\) 3.07834 + 0.285734i 0.562026 + 0.0521676i
\(31\) 5.21295 + 9.02909i 0.936273 + 1.62167i 0.772348 + 0.635200i \(0.219082\pi\)
0.163926 + 0.986473i \(0.447584\pi\)
\(32\) 3.80004 + 4.19043i 0.671758 + 0.740770i
\(33\) 3.11155 + 3.30694i 0.541652 + 0.575664i
\(34\) 6.66779 + 2.23870i 1.14352 + 0.383934i
\(35\) −1.22903 6.17875i −0.207744 1.04440i
\(36\) 4.46629 4.00652i 0.744382 0.667754i
\(37\) 4.70139 3.14137i 0.772903 0.516438i −0.105464 0.994423i \(-0.533633\pi\)
0.878368 + 0.477986i \(0.158633\pi\)
\(38\) −0.0394392 + 0.307470i −0.00639788 + 0.0498782i
\(39\) −1.56442 0.254604i −0.250508 0.0407692i
\(40\) 2.14481 2.85369i 0.339125 0.451208i
\(41\) −4.50511 3.45689i −0.703580 0.539876i 0.193851 0.981031i \(-0.437902\pi\)
−0.897431 + 0.441155i \(0.854569\pi\)
\(42\) −10.4188 6.39791i −1.60765 0.987220i
\(43\) 1.18235 + 1.03690i 0.180307 + 0.158125i 0.744742 0.667352i \(-0.232573\pi\)
−0.564435 + 0.825478i \(0.690906\pi\)
\(44\) 5.13544 1.05707i 0.774197 0.159359i
\(45\) −3.01448 2.29121i −0.449373 0.341553i
\(46\) 1.16407 5.95563i 0.171632 0.878109i
\(47\) 0.499351 + 1.86360i 0.0728379 + 0.271835i 0.992734 0.120327i \(-0.0383942\pi\)
−0.919896 + 0.392161i \(0.871728\pi\)
\(48\) −1.23506 6.81723i −0.178265 0.983982i
\(49\) −4.63650 + 17.3037i −0.662357 + 2.47195i
\(50\) 4.32844 + 2.11668i 0.612133 + 0.299344i
\(51\) −5.48013 6.64642i −0.767372 0.930685i
\(52\) −1.19756 + 1.38402i −0.166071 + 0.191929i
\(53\) 12.9837 + 2.58262i 1.78345 + 0.354750i 0.972954 0.230998i \(-0.0741990\pi\)
0.810494 + 0.585748i \(0.199199\pi\)
\(54\) −7.23772 + 1.27096i −0.984930 + 0.172956i
\(55\) −1.26620 3.05688i −0.170734 0.412189i
\(56\) −12.5989 + 6.37019i −1.68360 + 0.851252i
\(57\) 0.240179 0.294031i 0.0318124 0.0389453i
\(58\) −0.162960 1.20677i −0.0213977 0.158457i
\(59\) 2.79629 5.67031i 0.364045 0.738211i −0.635377 0.772202i \(-0.719155\pi\)
0.999422 + 0.0339913i \(0.0108219\pi\)
\(60\) −4.07798 + 1.57663i −0.526465 + 0.203542i
\(61\) 1.44317 4.25144i 0.184779 0.544341i −0.814583 0.580046i \(-0.803034\pi\)
0.999362 + 0.0357053i \(0.0113678\pi\)
\(62\) −12.2867 8.15075i −1.56042 1.03515i
\(63\) 6.68444 + 13.3994i 0.842160 + 1.68817i
\(64\) −7.45066 2.91336i −0.931333 0.364170i
\(65\) 1.00024 + 0.577490i 0.124065 + 0.0716288i
\(66\) −6.02250 2.22815i −0.741319 0.274267i
\(67\) −0.225149 + 0.197450i −0.0275063 + 0.0241224i −0.672989 0.739653i \(-0.734990\pi\)
0.645482 + 0.763775i \(0.276656\pi\)
\(68\) −9.85303 + 1.36392i −1.19485 + 0.165400i
\(69\) −5.06811 + 5.43609i −0.610128 + 0.654429i
\(70\) 5.44709 + 7.05011i 0.651052 + 0.842649i
\(71\) −7.95861 3.29657i −0.944514 0.391230i −0.143348 0.989672i \(-0.545787\pi\)
−0.801166 + 0.598442i \(0.795787\pi\)
\(72\) −3.13266 + 7.88584i −0.369187 + 0.929355i
\(73\) 4.30758 1.78426i 0.504164 0.208832i −0.116081 0.993240i \(-0.537033\pi\)
0.620245 + 0.784408i \(0.287033\pi\)
\(74\) −3.97514 + 6.93835i −0.462101 + 0.806567i
\(75\) −3.12769 5.00411i −0.361154 0.577825i
\(76\) −0.143675 0.414179i −0.0164806 0.0475096i
\(77\) −0.855814 + 13.0572i −0.0975290 + 1.48801i
\(78\) 2.14133 0.662727i 0.242458 0.0750391i
\(79\) −2.96316 11.0587i −0.333381 1.24420i −0.905613 0.424104i \(-0.860589\pi\)
0.572232 0.820092i \(-0.306078\pi\)
\(80\) −0.918950 + 4.96418i −0.102742 + 0.555012i
\(81\) 8.34616 + 3.36774i 0.927351 + 0.374194i
\(82\) 7.88157 + 1.54051i 0.870374 + 0.170120i
\(83\) 9.06572 4.47072i 0.995092 0.490725i 0.129556 0.991572i \(-0.458645\pi\)
0.865536 + 0.500847i \(0.166978\pi\)
\(84\) 17.2219 + 1.54079i 1.87907 + 0.168114i
\(85\) 2.01774 + 5.94406i 0.218854 + 0.644724i
\(86\) −2.15013 0.568467i −0.231855 0.0612994i
\(87\) −0.612396 + 1.35987i −0.0656558 + 0.145794i
\(88\) −5.83727 + 4.57236i −0.622256 + 0.487416i
\(89\) 3.82828 + 1.58573i 0.405797 + 0.168087i 0.576239 0.817281i \(-0.304520\pi\)
−0.170442 + 0.985368i \(0.554520\pi\)
\(90\) 5.25997 + 1.00308i 0.554450 + 0.105733i
\(91\) −2.53765 3.79786i −0.266018 0.398124i
\(92\) 2.27626 + 8.27452i 0.237316 + 0.862679i
\(93\) 7.49044 + 16.4314i 0.776722 + 1.70386i
\(94\) −1.80584 2.04540i −0.186258 0.210967i
\(95\) −0.239589 + 0.138327i −0.0245813 + 0.0141920i
\(96\) 5.85678 + 7.85481i 0.597755 + 0.801679i
\(97\) −7.44864 4.30048i −0.756295 0.436647i 0.0716688 0.997428i \(-0.477168\pi\)
−0.827964 + 0.560781i \(0.810501\pi\)
\(98\) −5.02510 24.8309i −0.507612 2.50830i
\(99\) 4.81626 + 6.21743i 0.484053 + 0.624875i
\(100\) −6.81391 + 0.0453315i −0.681391 + 0.00453315i
\(101\) −9.80364 + 0.642565i −0.975499 + 0.0639376i −0.544807 0.838561i \(-0.683397\pi\)
−0.430692 + 0.902499i \(0.641730\pi\)
\(102\) 11.1247 + 4.96537i 1.10151 + 0.491645i
\(103\) 1.43652 + 10.9114i 0.141544 + 1.07513i 0.903829 + 0.427893i \(0.140744\pi\)
−0.762285 + 0.647241i \(0.775923\pi\)
\(104\) 0.644921 2.50667i 0.0632397 0.245799i
\(105\) −1.09442 10.8565i −0.106804 1.05949i
\(106\) −18.0673 + 4.90559i −1.75485 + 0.476473i
\(107\) −5.59337 1.11259i −0.540731 0.107558i −0.0828341 0.996563i \(-0.526397\pi\)
−0.457897 + 0.889005i \(0.651397\pi\)
\(108\) 8.36467 6.16704i 0.804891 0.593423i
\(109\) −16.2840 10.8806i −1.55973 1.04218i −0.972543 0.232722i \(-0.925237\pi\)
−0.587184 0.809454i \(-0.699763\pi\)
\(110\) 3.52830 + 3.07353i 0.336410 + 0.293050i
\(111\) 8.62653 4.63644i 0.818794 0.440072i
\(112\) 11.9425 16.0001i 1.12846 1.51187i
\(113\) −9.22574 2.47203i −0.867885 0.232549i −0.202712 0.979238i \(-0.564975\pi\)
−0.665173 + 0.746689i \(0.731642\pi\)
\(114\) −0.118981 + 0.523568i −0.0111436 + 0.0490366i
\(115\) 4.85723 2.39532i 0.452939 0.223365i
\(116\) 0.966266 + 1.42550i 0.0897156 + 0.132354i
\(117\) −2.65500 0.698370i −0.245455 0.0645644i
\(118\) 0.0297411 + 8.94104i 0.00273789 + 0.823090i
\(119\) 3.24027 24.6123i 0.297035 2.25621i
\(120\) 4.17105 4.56439i 0.380763 0.416670i
\(121\) −0.538742 4.09215i −0.0489766 0.372014i
\(122\) 0.849699 + 6.29229i 0.0769281 + 0.569677i
\(123\) −7.19403 6.70704i −0.648664 0.604754i
\(124\) 20.6911 + 2.58411i 1.85811 + 0.232060i
\(125\) 2.07006 + 10.4069i 0.185152 + 0.930819i
\(126\) −16.9021 12.7582i −1.50576 1.13659i
\(127\) 15.4226i 1.36854i −0.729230 0.684269i \(-0.760121\pi\)
0.729230 0.684269i \(-0.239879\pi\)
\(128\) 11.2692 1.00260i 0.996066 0.0886179i
\(129\) 1.86655 + 1.98376i 0.164341 + 0.174661i
\(130\) −1.63024 0.101406i −0.142981 0.00889394i
\(131\) −2.33842 2.66646i −0.204309 0.232969i 0.640607 0.767869i \(-0.278683\pi\)
−0.844916 + 0.534900i \(0.820349\pi\)
\(132\) 9.02927 0.970936i 0.785897 0.0845091i
\(133\) 1.09175 0.0715570i 0.0946667 0.00620478i
\(134\) 0.160766 0.391805i 0.0138881 0.0338468i
\(135\) −4.81733 4.45012i −0.414610 0.383005i
\(136\) 11.6178 7.93162i 0.996222 0.680131i
\(137\) 12.2344 + 1.61069i 1.04526 + 0.137611i 0.633547 0.773705i \(-0.281599\pi\)
0.411709 + 0.911315i \(0.364932\pi\)
\(138\) 2.99451 10.0750i 0.254910 0.857645i
\(139\) −6.52188 19.2128i −0.553179 1.62961i −0.759049 0.651033i \(-0.774336\pi\)
0.205871 0.978579i \(-0.433997\pi\)
\(140\) −11.3371 5.49736i −0.958156 0.464611i
\(141\) 0.551910 + 3.29583i 0.0464792 + 0.277559i
\(142\) 12.1537 0.837207i 1.01992 0.0702568i
\(143\) −1.69634 1.69634i −0.141855 0.141855i
\(144\) −0.998938 11.9583i −0.0832448 0.996529i
\(145\) 0.768464 0.768464i 0.0638175 0.0638175i
\(146\) −4.33105 + 4.97188i −0.358440 + 0.411476i
\(147\) −10.8630 + 29.0643i −0.895967 + 2.39719i
\(148\) 0.664532 11.2891i 0.0546242 0.927957i
\(149\) 7.22752 2.45341i 0.592102 0.200991i −0.00927510 0.999957i \(-0.502952\pi\)
0.601377 + 0.798966i \(0.294619\pi\)
\(150\) 7.11165 + 4.36709i 0.580664 + 0.356571i
\(151\) 0.304322 2.31155i 0.0247654 0.188112i −0.974591 0.223993i \(-0.928091\pi\)
0.999356 + 0.0358817i \(0.0114240\pi\)
\(152\) 0.442744 + 0.433994i 0.0359113 + 0.0352016i
\(153\) −8.34617 12.3678i −0.674748 0.999875i
\(154\) −7.13850 17.0730i −0.575236 1.37578i
\(155\) −0.860629 13.1307i −0.0691274 1.05468i
\(156\) −2.29420 + 2.18761i −0.183683 + 0.175149i
\(157\) −11.6850 + 10.2475i −0.932567 + 0.817839i −0.983508 0.180862i \(-0.942111\pi\)
0.0509414 + 0.998702i \(0.483778\pi\)
\(158\) 10.7159 + 12.1375i 0.852511 + 0.965604i
\(159\) 21.9569 + 6.60561i 1.74129 + 0.523859i
\(160\) −1.96232 6.86472i −0.155135 0.542704i
\(161\) −21.4179 −1.68796
\(162\) −12.6893 + 0.991114i −0.996964 + 0.0778693i
\(163\) 7.07610 1.40752i 0.554243 0.110246i 0.0899805 0.995944i \(-0.471320\pi\)
0.464262 + 0.885698i \(0.346320\pi\)
\(164\) −10.9504 + 3.01236i −0.855079 + 0.235226i
\(165\) −1.67616 5.48030i −0.130489 0.426641i
\(166\) −8.66452 + 11.3699i −0.672497 + 0.882478i
\(167\) −3.35852 + 0.442158i −0.259890 + 0.0342152i −0.259345 0.965785i \(-0.583507\pi\)
−0.000545001 1.00000i \(0.500173\pi\)
\(168\) −22.7781 + 8.89368i −1.75737 + 0.686163i
\(169\) −12.0585 1.58754i −0.927579 0.122118i
\(170\) −6.29803 6.25627i −0.483037 0.479834i
\(171\) 0.462846 0.467111i 0.0353948 0.0357209i
\(172\) 3.08064 0.634112i 0.234897 0.0483506i
\(173\) 3.38479 + 6.86368i 0.257341 + 0.521836i 0.986751 0.162241i \(-0.0518721\pi\)
−0.729410 + 0.684077i \(0.760205\pi\)
\(174\) −0.0808545 2.10761i −0.00612957 0.159778i
\(175\) 4.40144 16.4264i 0.332717 1.24172i
\(176\) 4.51239 9.46567i 0.340134 0.713502i
\(177\) 5.76130 9.31247i 0.433046 0.699968i
\(178\) −5.84622 + 0.402716i −0.438193 + 0.0301848i
\(179\) 6.52291 9.76222i 0.487545 0.729663i −0.503382 0.864064i \(-0.667911\pi\)
0.990927 + 0.134401i \(0.0429111\pi\)
\(180\) −7.29225 + 2.04206i −0.543532 + 0.152206i
\(181\) 0.0880541 0.442678i 0.00654501 0.0329040i −0.977375 0.211515i \(-0.932160\pi\)
0.983920 + 0.178611i \(0.0571603\pi\)
\(182\) 5.60492 + 3.21119i 0.415464 + 0.238029i
\(183\) 3.19313 7.09058i 0.236043 0.524151i
\(184\) −8.09290 9.04451i −0.596617 0.666770i
\(185\) −7.07542 + 0.931497i −0.520195 + 0.0684850i
\(186\) −19.8320 16.0900i −1.45415 1.17978i
\(187\) −0.852743 13.0103i −0.0623587 0.951411i
\(188\) 3.57471 + 1.45291i 0.260712 + 0.105964i
\(189\) 9.30274 + 24.2103i 0.676675 + 1.76104i
\(190\) 0.216282 0.326031i 0.0156907 0.0236528i
\(191\) −12.6860 + 21.9727i −0.917924 + 1.58989i −0.115362 + 0.993324i \(0.536803\pi\)
−0.802563 + 0.596568i \(0.796531\pi\)
\(192\) −12.3626 6.25836i −0.892191 0.451658i
\(193\) −6.88347 11.9225i −0.495483 0.858201i 0.504504 0.863409i \(-0.331675\pi\)
−0.999986 + 0.00520835i \(0.998342\pi\)
\(194\) 12.1401 + 0.755158i 0.871610 + 0.0542172i
\(195\) 1.62875 + 1.16151i 0.116637 + 0.0831771i
\(196\) 21.9994 + 28.2786i 1.57139 + 2.01990i
\(197\) 21.7032 14.5016i 1.54629 1.03320i 0.568732 0.822523i \(-0.307434\pi\)
0.977556 0.210674i \(-0.0675659\pi\)
\(198\) −10.0139 4.84019i −0.711657 0.343977i
\(199\) −1.25275 + 3.02440i −0.0888049 + 0.214394i −0.962042 0.272902i \(-0.912017\pi\)
0.873237 + 0.487296i \(0.162017\pi\)
\(200\) 8.59978 4.34816i 0.608096 0.307461i
\(201\) −0.420918 + 0.303089i −0.0296893 + 0.0213783i
\(202\) 12.0096 6.98708i 0.844989 0.491610i
\(203\) −4.06982 + 1.38152i −0.285645 + 0.0969635i
\(204\) −17.2137 + 0.717722i −1.20520 + 0.0502506i
\(205\) 3.16992 + 6.42797i 0.221397 + 0.448949i
\(206\) −8.69002 12.9124i −0.605463 0.899646i
\(207\) −9.63930 + 8.53196i −0.669978 + 0.593012i
\(208\) 0.761814 + 3.58026i 0.0528223 + 0.248246i
\(209\) 0.555052 0.148726i 0.0383938 0.0102876i
\(210\) 8.22227 + 13.0583i 0.567391 + 0.901107i
\(211\) 9.89809 + 0.648755i 0.681413 + 0.0446622i 0.402179 0.915561i \(-0.368253\pi\)
0.279234 + 0.960223i \(0.409920\pi\)
\(212\) 19.7892 17.5890i 1.35913 1.20801i
\(213\) −13.1748 7.00327i −0.902721 0.479856i
\(214\) 7.78338 2.11332i 0.532061 0.144464i
\(215\) −0.759566 1.83375i −0.0518020 0.125061i
\(216\) −6.70861 + 13.0765i −0.456463 + 0.889742i
\(217\) −19.9148 + 48.0785i −1.35190 + 3.26378i
\(218\) 27.4718 + 3.52380i 1.86062 + 0.238662i
\(219\) 7.72254 2.36196i 0.521841 0.159606i
\(220\) −6.40325 1.67017i −0.431707 0.112603i
\(221\) 3.00085 + 3.42182i 0.201859 + 0.230176i
\(222\) −8.00403 + 11.3032i −0.537195 + 0.758623i
\(223\) −8.28918 + 14.3573i −0.555084 + 0.961434i 0.442813 + 0.896614i \(0.353981\pi\)
−0.997897 + 0.0648202i \(0.979353\pi\)
\(224\) −5.04717 + 27.7809i −0.337228 + 1.85619i
\(225\) −4.56266 9.14618i −0.304178 0.609746i
\(226\) 13.2390 2.67922i 0.880648 0.178219i
\(227\) −10.3695 3.51996i −0.688247 0.233628i −0.0446607 0.999002i \(-0.514221\pi\)
−0.643586 + 0.765374i \(0.722554\pi\)
\(228\) −0.179031 0.737908i −0.0118566 0.0488691i
\(229\) 10.2765 + 5.06782i 0.679092 + 0.334891i 0.748913 0.662668i \(-0.230576\pi\)
−0.0698210 + 0.997560i \(0.522243\pi\)
\(230\) −4.64227 + 6.09178i −0.306102 + 0.401680i
\(231\) −3.64062 + 22.3699i −0.239535 + 1.47183i
\(232\) −2.12121 1.19662i −0.139264 0.0785619i
\(233\) 26.6270 11.0293i 1.74440 0.722552i 0.745999 0.665947i \(-0.231972\pi\)
0.998397 0.0566057i \(-0.0180278\pi\)
\(234\) 3.80174 0.787535i 0.248528 0.0514827i
\(235\) 0.475061 2.38829i 0.0309896 0.155795i
\(236\) −5.66789 11.3032i −0.368948 0.735773i
\(237\) −3.27505 19.5575i −0.212737 1.27040i
\(238\) 11.3954 + 33.2065i 0.738655 + 2.15246i
\(239\) −0.746944 0.200143i −0.0483158 0.0129462i 0.234580 0.972097i \(-0.424628\pi\)
−0.282896 + 0.959151i \(0.591295\pi\)
\(240\) −2.40751 + 8.40634i −0.155404 + 0.542627i
\(241\) −23.1577 + 6.20509i −1.49172 + 0.399705i −0.910318 0.413911i \(-0.864163\pi\)
−0.581403 + 0.813616i \(0.697496\pi\)
\(242\) 3.25906 + 4.84257i 0.209500 + 0.311292i
\(243\) 13.8311 + 7.19025i 0.887268 + 0.461255i
\(244\) −5.03825 7.43276i −0.322541 0.475834i
\(245\) 14.9077 16.9990i 0.952420 1.08603i
\(246\) 13.3331 + 3.96288i 0.850089 + 0.252664i
\(247\) −0.122109 + 0.159136i −0.00776963 + 0.0101256i
\(248\) −27.8279 + 9.75707i −1.76708 + 0.619575i
\(249\) 16.3715 6.20469i 1.03750 0.393206i
\(250\) −9.17455 11.8745i −0.580250 0.751010i
\(251\) −1.10976 1.66087i −0.0700474 0.104833i 0.794792 0.606882i \(-0.207580\pi\)
−0.864839 + 0.502048i \(0.832580\pi\)
\(252\) 29.4368 + 5.51217i 1.85434 + 0.347234i
\(253\) −11.0328 + 2.19456i −0.693627 + 0.137971i
\(254\) 9.71173 + 19.5294i 0.609368 + 1.22538i
\(255\) 2.49314 + 10.5827i 0.156126 + 0.662714i
\(256\) −13.6386 + 8.36585i −0.852415 + 0.522866i
\(257\) 19.9478 11.5169i 1.24431 0.718402i 0.274340 0.961633i \(-0.411541\pi\)
0.969968 + 0.243231i \(0.0782074\pi\)
\(258\) −3.61277 1.33662i −0.224921 0.0832144i
\(259\) 26.7251 + 9.07196i 1.66062 + 0.563704i
\(260\) 2.12820 0.898161i 0.131985 0.0557016i
\(261\) −1.28132 + 2.24301i −0.0793118 + 0.138839i
\(262\) 4.64018 + 1.90397i 0.286671 + 0.117628i
\(263\) 10.2185 7.84089i 0.630097 0.483490i −0.243655 0.969862i \(-0.578347\pi\)
0.873752 + 0.486372i \(0.161680\pi\)
\(264\) −10.8222 + 6.91527i −0.666060 + 0.425605i
\(265\) −13.2555 10.1713i −0.814277 0.624817i
\(266\) −1.33740 + 0.778093i −0.0820014 + 0.0477079i
\(267\) 6.33738 + 3.36874i 0.387841 + 0.206163i
\(268\) 0.0431468 + 0.597371i 0.00263561 + 0.0364902i
\(269\) 10.5599 + 7.05589i 0.643847 + 0.430205i 0.834163 0.551518i \(-0.185951\pi\)
−0.190316 + 0.981723i \(0.560951\pi\)
\(270\) 8.90237 + 2.60159i 0.541781 + 0.158328i
\(271\) −7.67520 + 7.67520i −0.466235 + 0.466235i −0.900692 0.434457i \(-0.856940\pi\)
0.434457 + 0.900692i \(0.356940\pi\)
\(272\) −9.71687 + 17.3595i −0.589172 + 1.05257i
\(273\) −3.74540 6.96866i −0.226682 0.421762i
\(274\) −16.5065 + 5.66449i −0.997192 + 0.342205i
\(275\) 0.584161 8.91258i 0.0352262 0.537449i
\(276\) 2.55242 + 14.6435i 0.153638 + 0.881436i
\(277\) 11.1934 12.7636i 0.672546 0.766892i −0.310436 0.950594i \(-0.600475\pi\)
0.982982 + 0.183703i \(0.0588084\pi\)
\(278\) 20.3570 + 20.2220i 1.22093 + 1.21284i
\(279\) 10.1896 + 29.5714i 0.610036 + 1.77039i
\(280\) 17.8176 0.177809i 1.06481 0.0106261i
\(281\) −20.2613 + 15.5470i −1.20869 + 0.927457i −0.998736 0.0502551i \(-0.983997\pi\)
−0.209949 + 0.977712i \(0.567330\pi\)
\(282\) −2.77428 3.82591i −0.165206 0.227830i
\(283\) −10.0048 + 20.2878i −0.594725 + 1.20598i 0.366551 + 0.930398i \(0.380538\pi\)
−0.961276 + 0.275586i \(0.911128\pi\)
\(284\) −14.8628 + 8.71341i −0.881947 + 0.517046i
\(285\) −0.436011 + 0.198760i −0.0258270 + 0.0117735i
\(286\) 3.21625 + 1.07985i 0.190181 + 0.0638529i
\(287\) 28.3440i 1.67309i
\(288\) 8.79518 + 14.5136i 0.518261 + 0.855222i
\(289\) 7.73560i 0.455035i
\(290\) −0.489186 + 1.45700i −0.0287260 + 0.0855580i
\(291\) −12.1291 8.64955i −0.711019 0.507046i
\(292\) 2.35351 9.02310i 0.137729 0.528037i
\(293\) 4.13624 8.38747i 0.241642 0.490001i −0.741939 0.670467i \(-0.766094\pi\)
0.983581 + 0.180466i \(0.0577605\pi\)
\(294\) −4.54635 43.6442i −0.265148 2.54538i
\(295\) −6.33062 + 4.85766i −0.368583 + 0.282824i
\(296\) 6.26732 + 14.7136i 0.364281 + 0.855212i
\(297\) 7.27274 + 11.5181i 0.422007 + 0.668346i
\(298\) −7.60715 + 7.65793i −0.440670 + 0.443612i
\(299\) 2.58903 2.95222i 0.149728 0.170731i
\(300\) −11.7553 1.05171i −0.678695 0.0607205i
\(301\) −0.513384 + 7.83273i −0.0295910 + 0.451471i
\(302\) 1.07024 + 3.11871i 0.0615855 + 0.179462i
\(303\) −17.0090 0.517775i −0.977140 0.0297454i
\(304\) −0.833927 0.270761i −0.0478290 0.0155292i
\(305\) −4.00689 + 4.00689i −0.229434 + 0.229434i
\(306\) 18.3567 + 10.4054i 1.04938 + 0.594840i
\(307\) 10.2883 + 6.87441i 0.587184 + 0.392344i 0.813375 0.581739i \(-0.197628\pi\)
−0.226192 + 0.974083i \(0.572628\pi\)
\(308\) 19.7903 + 17.1241i 1.12766 + 0.975735i
\(309\) 0.667383 + 19.0505i 0.0379661 + 1.08375i
\(310\) 9.35826 + 16.0852i 0.531513 + 0.913577i
\(311\) −25.4177 19.5037i −1.44130 1.10595i −0.975227 0.221208i \(-0.929000\pi\)
−0.466078 0.884744i \(-0.654333\pi\)
\(312\) 1.52755 4.21480i 0.0864808 0.238616i
\(313\) 8.11724 6.22858i 0.458813 0.352060i −0.353349 0.935492i \(-0.614957\pi\)
0.812162 + 0.583432i \(0.198290\pi\)
\(314\) 8.34363 20.3344i 0.470858 1.14753i
\(315\) −0.0866723 18.8992i −0.00488343 1.06485i
\(316\) −21.2124 8.62158i −1.19329 0.485002i
\(317\) −10.4263 3.53926i −0.585601 0.198785i 0.0128865 0.999917i \(-0.495898\pi\)
−0.598487 + 0.801132i \(0.704231\pi\)
\(318\) −31.9632 + 5.46183i −1.79241 + 0.306284i
\(319\) −1.95490 + 1.12866i −0.109453 + 0.0631928i
\(320\) 6.80761 + 7.45698i 0.380557 + 0.416858i
\(321\) −9.45901 2.84569i −0.527950 0.158831i
\(322\) 27.1210 13.4870i 1.51140 0.751599i
\(323\) −1.06922 + 0.212681i −0.0594929 + 0.0118339i
\(324\) 15.4441 9.24555i 0.858005 0.513641i
\(325\) 1.73215 + 2.59234i 0.0960823 + 0.143797i
\(326\) −8.07401 + 6.23818i −0.447178 + 0.345501i
\(327\) −26.2710 21.4594i −1.45279 1.18671i
\(328\) 11.9693 10.7100i 0.660896 0.591361i
\(329\) −5.86245 + 7.64010i −0.323207 + 0.421212i
\(330\) 5.57348 + 5.88412i 0.306810 + 0.323910i
\(331\) 7.13235 8.13289i 0.392030 0.447024i −0.521833 0.853048i \(-0.674752\pi\)
0.913863 + 0.406024i \(0.133085\pi\)
\(332\) 3.81201 19.8536i 0.209211 1.08961i
\(333\) 15.6418 6.56324i 0.857164 0.359663i
\(334\) 3.97441 2.67478i 0.217470 0.146357i
\(335\) 0.365083 0.0978237i 0.0199466 0.00534468i
\(336\) 23.2430 25.6054i 1.26801 1.39689i
\(337\) 12.4145 + 3.32645i 0.676259 + 0.181203i 0.580573 0.814208i \(-0.302829\pi\)
0.0956866 + 0.995412i \(0.469495\pi\)
\(338\) 16.2692 5.58307i 0.884927 0.303679i
\(339\) −15.4961 5.79181i −0.841635 0.314568i
\(340\) 11.9147 + 3.95630i 0.646165 + 0.214560i
\(341\) −5.33221 + 26.8069i −0.288756 + 1.45167i
\(342\) −0.291951 + 0.882952i −0.0157869 + 0.0477446i
\(343\) −50.3297 + 20.8472i −2.71755 + 1.12565i
\(344\) −3.50166 + 2.74286i −0.188797 + 0.147885i
\(345\) 8.77151 3.32435i 0.472242 0.178977i
\(346\) −8.60820 6.55993i −0.462780 0.352664i
\(347\) −21.4006 10.5536i −1.14884 0.566547i −0.234752 0.972055i \(-0.575428\pi\)
−0.914091 + 0.405509i \(0.867094\pi\)
\(348\) 1.42956 + 2.61792i 0.0766326 + 0.140335i
\(349\) −25.4915 8.65321i −1.36453 0.463196i −0.459363 0.888249i \(-0.651922\pi\)
−0.905168 + 0.425053i \(0.860255\pi\)
\(350\) 4.77034 + 23.5720i 0.254985 + 1.25998i
\(351\) −4.46167 1.64430i −0.238146 0.0877664i
\(352\) 0.246633 + 14.8277i 0.0131456 + 0.790318i
\(353\) −7.79732 + 13.5053i −0.415009 + 0.718817i −0.995429 0.0955000i \(-0.969555\pi\)
0.580420 + 0.814317i \(0.302888\pi\)
\(354\) −1.43131 + 15.4201i −0.0760731 + 0.819571i
\(355\) 7.16868 + 8.17432i 0.380474 + 0.433848i
\(356\) 7.14937 4.19135i 0.378916 0.222141i
\(357\) 9.66769 41.8966i 0.511668 2.21741i
\(358\) −2.11251 + 16.4692i −0.111650 + 0.870426i
\(359\) 3.86979 9.34249i 0.204239 0.493078i −0.788258 0.615345i \(-0.789017\pi\)
0.992497 + 0.122268i \(0.0390166\pi\)
\(360\) 7.94815 7.17780i 0.418904 0.378303i
\(361\) 7.25260 + 17.5093i 0.381716 + 0.921543i
\(362\) 0.167256 + 0.616003i 0.00879076 + 0.0323764i
\(363\) −0.250291 7.14460i −0.0131369 0.374994i
\(364\) −9.11951 0.536820i −0.477992 0.0281370i
\(365\) −5.87207 0.384876i −0.307358 0.0201453i
\(366\) 0.421588 + 10.9894i 0.0220367 + 0.574426i
\(367\) −22.6422 + 6.06696i −1.18191 + 0.316693i −0.795685 0.605711i \(-0.792889\pi\)
−0.386228 + 0.922403i \(0.626222\pi\)
\(368\) 15.9433 + 6.35674i 0.831101 + 0.331368i
\(369\) −11.2910 12.7565i −0.587788 0.664076i
\(370\) 8.37291 5.63497i 0.435287 0.292948i
\(371\) 29.2249 + 59.2622i 1.51728 + 3.07674i
\(372\) 35.2449 + 7.88620i 1.82736 + 0.408880i
\(373\) −24.1768 + 8.20690i −1.25183 + 0.424937i −0.867119 0.498102i \(-0.834031\pi\)
−0.384706 + 0.923039i \(0.625697\pi\)
\(374\) 9.27251 + 15.9378i 0.479470 + 0.824123i
\(375\) 1.84333 + 18.2857i 0.0951891 + 0.944270i
\(376\) −5.44149 + 0.411226i −0.280624 + 0.0212074i
\(377\) 0.301540 0.727981i 0.0155301 0.0374930i
\(378\) −27.0253 24.7991i −1.39003 1.27553i
\(379\) 18.5679 12.4067i 0.953770 0.637289i 0.0217763 0.999763i \(-0.493068\pi\)
0.931994 + 0.362474i \(0.118068\pi\)
\(380\) −0.0685699 + 0.549041i −0.00351756 + 0.0281652i
\(381\) 2.55735 26.5901i 0.131017 1.36225i
\(382\) 2.22764 35.8121i 0.113976 1.83231i
\(383\) 7.07958 + 12.2622i 0.361750 + 0.626569i 0.988249 0.152853i \(-0.0488461\pi\)
−0.626499 + 0.779422i \(0.715513\pi\)
\(384\) 19.5954 + 0.140060i 0.999974 + 0.00714742i
\(385\) 8.25762 14.3026i 0.420847 0.728929i
\(386\) 16.2241 + 10.7627i 0.825784 + 0.547807i
\(387\) 2.88917 + 3.72970i 0.146865 + 0.189591i
\(388\) −15.8483 + 6.68847i −0.804578 + 0.339555i
\(389\) −2.07246 31.6196i −0.105078 1.60318i −0.646826 0.762637i \(-0.723904\pi\)
0.541749 0.840541i \(-0.317762\pi\)
\(390\) −2.79387 0.445157i −0.141473 0.0225414i
\(391\) 21.1584 2.78556i 1.07003 0.140872i
\(392\) −45.6647 21.9556i −2.30641 1.10892i
\(393\) −3.58951 4.98498i −0.181067 0.251459i
\(394\) −18.3506 + 32.0298i −0.924490 + 1.61364i
\(395\) −2.81902 + 14.1722i −0.141840 + 0.713080i
\(396\) 15.7283 0.176773i 0.790378 0.00888319i
\(397\) 7.52413 11.2607i 0.377625 0.565156i −0.593167 0.805080i \(-0.702122\pi\)
0.970792 + 0.239924i \(0.0771225\pi\)
\(398\) −0.318152 4.61861i −0.0159475 0.231510i
\(399\) 1.89415 + 0.0576603i 0.0948259 + 0.00288663i
\(400\) −8.15168 + 10.9213i −0.407584 + 0.546067i
\(401\) −1.20955 + 4.51410i −0.0604020 + 0.225423i −0.989528 0.144339i \(-0.953894\pi\)
0.929126 + 0.369763i \(0.120561\pi\)
\(402\) 0.342144 0.648851i 0.0170646 0.0323617i
\(403\) −4.21978 8.55686i −0.210202 0.426248i
\(404\) −10.8077 + 16.4101i −0.537702 + 0.816433i
\(405\) −7.56764 8.47122i −0.376039 0.420938i
\(406\) 4.28359 4.31218i 0.212591 0.214010i
\(407\) 14.6963 + 1.93480i 0.728466 + 0.0959044i
\(408\) 21.3455 11.7484i 1.05676 0.581634i
\(409\) 17.5742 2.31368i 0.868987 0.114404i 0.317169 0.948369i \(-0.397268\pi\)
0.551818 + 0.833965i \(0.313934\pi\)
\(410\) −8.06175 6.14350i −0.398141 0.303406i
\(411\) 20.8262 + 4.80567i 1.02728 + 0.237046i
\(412\) 19.1350 + 10.8785i 0.942714 + 0.535946i
\(413\) 30.9508 6.15650i 1.52299 0.302941i
\(414\) 6.83344 16.8738i 0.335845 0.829302i
\(415\) −12.7578 −0.626255
\(416\) −3.21918 4.05390i −0.157834 0.198759i
\(417\) −8.05852 34.2062i −0.394627 1.67509i
\(418\) −0.609199 + 0.537849i −0.0297969 + 0.0263070i
\(419\) −11.2258 + 9.84473i −0.548414 + 0.480947i −0.888137 0.459579i \(-0.848000\pi\)
0.339722 + 0.940526i \(0.389667\pi\)
\(420\) −18.6346 11.3578i −0.909275 0.554206i
\(421\) −1.04860 15.9985i −0.0511056 0.779721i −0.944101 0.329655i \(-0.893067\pi\)
0.892996 0.450065i \(-0.148599\pi\)
\(422\) −12.9423 + 5.41138i −0.630021 + 0.263422i
\(423\) 0.405039 + 5.77384i 0.0196936 + 0.280734i
\(424\) −13.9829 + 34.7340i −0.679068 + 1.68683i
\(425\) −2.21174 + 16.7999i −0.107285 + 0.814913i
\(426\) 21.0930 + 0.571878i 1.02196 + 0.0277076i
\(427\) 21.2206 7.20343i 1.02694 0.348599i
\(428\) −8.52518 + 7.57731i −0.412080 + 0.366263i
\(429\) −2.64337 3.20594i −0.127623 0.154784i
\(430\) 2.11655 + 1.84375i 0.102069 + 0.0889134i
\(431\) 3.37211 3.37211i 0.162429 0.162429i −0.621213 0.783642i \(-0.713360\pi\)
0.783642 + 0.621213i \(0.213360\pi\)
\(432\) 0.260643 20.7830i 0.0125402 0.999921i
\(433\) −6.87397 6.87397i −0.330342 0.330342i 0.522374 0.852716i \(-0.325046\pi\)
−0.852716 + 0.522374i \(0.825046\pi\)
\(434\) −5.05762 73.4214i −0.242774 3.52434i
\(435\) 1.45233 1.19748i 0.0696339 0.0574148i
\(436\) −37.0060 + 12.8370i −1.77226 + 0.614782i
\(437\) 0.302332 + 0.890642i 0.0144625 + 0.0426052i
\(438\) −8.29157 + 7.85384i −0.396187 + 0.375271i
\(439\) −24.8109 3.26642i −1.18416 0.155898i −0.487385 0.873187i \(-0.662049\pi\)
−0.696775 + 0.717290i \(0.745382\pi\)
\(440\) 9.16003 1.91726i 0.436687 0.0914018i
\(441\) −23.5483 + 48.3084i −1.12135 + 2.30040i
\(442\) −5.95467 2.44333i −0.283235 0.116217i
\(443\) −14.9178 + 0.977762i −0.708765 + 0.0464549i −0.415522 0.909583i \(-0.636401\pi\)
−0.293243 + 0.956038i \(0.594734\pi\)
\(444\) 3.01765 19.3533i 0.143211 0.918465i
\(445\) −3.44830 3.93204i −0.163465 0.186396i
\(446\) 1.45557 23.4001i 0.0689232 1.10803i
\(447\) 12.8678 3.03147i 0.608624 0.143383i
\(448\) −11.1026 38.3566i −0.524550 1.81218i
\(449\) 26.5498i 1.25296i 0.779436 + 0.626482i \(0.215506\pi\)
−0.779436 + 0.626482i \(0.784494\pi\)
\(450\) 11.5370 + 8.70851i 0.543861 + 0.410523i
\(451\) −2.90424 14.6006i −0.136755 0.687516i
\(452\) −15.0772 + 11.7294i −0.709174 + 0.551702i
\(453\) 0.907977 3.93488i 0.0426605 0.184877i
\(454\) 15.3472 2.07246i 0.720281 0.0972653i
\(455\) 0.752479 + 5.71564i 0.0352768 + 0.267954i
\(456\) 0.691368 + 0.821662i 0.0323763 + 0.0384779i
\(457\) 4.39386 33.3747i 0.205536 1.56120i −0.508482 0.861073i \(-0.669793\pi\)
0.714017 0.700128i \(-0.246874\pi\)
\(458\) −16.2042 + 0.0539011i −0.757173 + 0.00251863i
\(459\) −12.3388 22.7072i −0.575926 1.05988i
\(460\) 2.04240 10.6372i 0.0952272 0.495961i
\(461\) 1.82589 0.900431i 0.0850403 0.0419372i −0.399271 0.916833i \(-0.630737\pi\)
0.484312 + 0.874896i \(0.339070\pi\)
\(462\) −9.47644 30.6192i −0.440884 1.42453i
\(463\) 8.23817 + 2.20741i 0.382860 + 0.102587i 0.445115 0.895473i \(-0.353163\pi\)
−0.0622553 + 0.998060i \(0.519829\pi\)
\(464\) 3.43957 + 0.179517i 0.159678 + 0.00833388i
\(465\) 0.693490 22.7812i 0.0321598 1.05645i
\(466\) −26.7721 + 30.7334i −1.24020 + 1.42370i
\(467\) 24.1266 + 16.1209i 1.11645 + 0.745986i 0.969969 0.243228i \(-0.0782063\pi\)
0.146478 + 0.989214i \(0.453206\pi\)
\(468\) −4.31816 + 3.39122i −0.199607 + 0.156759i
\(469\) −1.46602 0.291610i −0.0676946 0.0134653i
\(470\) 0.902362 + 3.32340i 0.0416229 + 0.153297i
\(471\) −21.8453 + 15.7301i −1.00658 + 0.724804i
\(472\) 14.2948 + 10.7439i 0.657972 + 0.494527i
\(473\) 0.538119 + 4.08742i 0.0247427 + 0.187940i
\(474\) 16.4626 + 22.7030i 0.756153 + 1.04278i
\(475\) −0.745206 + 0.0488434i −0.0341924 + 0.00224109i
\(476\) −35.3402 34.8731i −1.61981 1.59840i
\(477\) 36.7604 + 15.0295i 1.68314 + 0.688155i
\(478\) 1.07187 0.216918i 0.0490263 0.00992158i
\(479\) 18.2466 + 10.5347i 0.833708 + 0.481341i 0.855120 0.518429i \(-0.173483\pi\)
−0.0214128 + 0.999771i \(0.506816\pi\)
\(480\) −2.24494 12.1608i −0.102467 0.555063i
\(481\) −4.48106 + 2.58714i −0.204319 + 0.117963i
\(482\) 25.4168 22.4400i 1.15770 1.02211i
\(483\) −36.9264 3.55146i −1.68021 0.161597i
\(484\) −7.17628 4.07981i −0.326195 0.185446i
\(485\) 6.03100 + 9.02603i 0.273854 + 0.409851i
\(486\) −22.0419 0.395332i −0.999839 0.0179326i
\(487\) 20.9155 + 8.66349i 0.947772 + 0.392580i 0.802393 0.596796i \(-0.203560\pi\)
0.145379 + 0.989376i \(0.453560\pi\)
\(488\) 11.0603 + 6.23935i 0.500676 + 0.282442i
\(489\) 12.4333 1.25336i 0.562251 0.0566790i
\(490\) −8.17301 + 30.9130i −0.369219 + 1.39651i
\(491\) 8.60567 + 25.3515i 0.388368 + 1.14410i 0.948795 + 0.315892i \(0.102304\pi\)
−0.560427 + 0.828204i \(0.689363\pi\)
\(492\) −19.3790 + 3.37783i −0.873671 + 0.152284i
\(493\) 3.84084 1.89410i 0.172983 0.0853058i
\(494\) 0.0544159 0.278404i 0.00244829 0.0125260i
\(495\) −1.98114 9.72650i −0.0890454 0.437174i
\(496\) 29.0939 29.8786i 1.30636 1.34159i
\(497\) −11.1286 41.5325i −0.499186 1.86299i
\(498\) −16.8238 + 18.1661i −0.753892 + 0.814043i
\(499\) −0.266946 + 4.07281i −0.0119502 + 0.182324i 0.987711 + 0.156292i \(0.0499540\pi\)
−0.999661 + 0.0260325i \(0.991713\pi\)
\(500\) 19.0950 + 9.25921i 0.853956 + 0.414085i
\(501\) −5.86373 + 0.205420i −0.261972 + 0.00917748i
\(502\) 2.45113 + 1.40431i 0.109399 + 0.0626775i
\(503\) 2.09862 0.869276i 0.0935727 0.0387591i −0.335406 0.942074i \(-0.608874\pi\)
0.428979 + 0.903315i \(0.358874\pi\)
\(504\) −40.7463 + 11.5566i −1.81498 + 0.514770i
\(505\) 11.4561 + 4.74528i 0.509791 + 0.211162i
\(506\) 12.5887 9.72636i 0.559637 0.432390i
\(507\) −20.5268 4.73658i −0.911628 0.210359i
\(508\) −24.5956 18.6142i −1.09125 0.825872i
\(509\) −3.61805 + 3.17294i −0.160367 + 0.140638i −0.735769 0.677233i \(-0.763179\pi\)
0.575402 + 0.817871i \(0.304846\pi\)
\(510\) −9.82101 11.8307i −0.434882 0.523874i
\(511\) 20.1545 + 11.6362i 0.891580 + 0.514754i
\(512\) 12.0023 19.1819i 0.530433 0.847727i
\(513\) 0.875447 0.728596i 0.0386519 0.0321683i
\(514\) −18.0073 + 27.1448i −0.794267 + 1.19731i
\(515\) 4.46494 13.1533i 0.196749 0.579604i
\(516\) 5.41646 0.582444i 0.238447 0.0256407i
\(517\) −2.23704 + 4.53627i −0.0983850 + 0.199505i
\(518\) −39.5542 + 5.34132i −1.73791 + 0.234684i
\(519\) 4.69758 + 12.3949i 0.206201 + 0.544076i
\(520\) −2.12932 + 2.47746i −0.0933768 + 0.108644i
\(521\) −4.94825 11.9461i −0.216787 0.523370i 0.777651 0.628696i \(-0.216411\pi\)
−0.994438 + 0.105327i \(0.966411\pi\)
\(522\) 0.210079 3.64713i 0.00919490 0.159631i
\(523\) 40.6403 + 8.08385i 1.77708 + 0.353482i 0.971138 0.238519i \(-0.0766618\pi\)
0.805937 + 0.592001i \(0.201662\pi\)
\(524\) −7.07472 + 0.510991i −0.309061 + 0.0223228i
\(525\) 10.3123 27.5908i 0.450065 1.20416i
\(526\) −8.00198 + 16.3634i −0.348903 + 0.713478i
\(527\) 13.4206 50.0862i 0.584609 2.18179i
\(528\) 9.34937 15.5715i 0.406879 0.677662i
\(529\) 1.18739 + 4.43141i 0.0516257 + 0.192670i
\(530\) 23.1901 + 4.53266i 1.00731 + 0.196886i
\(531\) 11.4772 15.1003i 0.498068 0.655296i
\(532\) 1.20356 1.82746i 0.0521809 0.0792303i
\(533\) 3.90692 + 3.42628i 0.169227 + 0.148408i
\(534\) −10.1462 0.275086i −0.439070 0.0119042i
\(535\) 5.71044 + 4.38178i 0.246884 + 0.189441i
\(536\) −0.430804 0.729270i −0.0186079 0.0314997i
\(537\) 12.8649 15.7494i 0.555160 0.679636i
\(538\) −17.8149 2.28512i −0.768056 0.0985185i
\(539\) −39.0480 + 26.0911i −1.68192 + 1.12382i
\(540\) −12.9112 + 2.31152i −0.555607 + 0.0994722i
\(541\) −0.540228 2.71591i −0.0232262 0.116766i 0.967433 0.253127i \(-0.0814592\pi\)
−0.990659 + 0.136361i \(0.956459\pi\)
\(542\) 4.88585 14.5521i 0.209865 0.625066i
\(543\) 0.225217 0.748617i 0.00966500 0.0321263i
\(544\) 1.37292 28.1008i 0.0588634 1.20481i
\(545\) 12.3592 + 21.4067i 0.529409 + 0.916963i
\(546\) 9.13094 + 6.46579i 0.390768 + 0.276710i
\(547\) −10.4272 + 30.7175i −0.445834 + 1.31339i 0.459308 + 0.888277i \(0.348097\pi\)
−0.905142 + 0.425108i \(0.860236\pi\)
\(548\) 17.3349 17.5671i 0.740509 0.750428i
\(549\) 6.68100 11.6954i 0.285138 0.499146i
\(550\) 4.87259 + 11.6537i 0.207768 + 0.496915i
\(551\) 0.114898 + 0.149738i 0.00489483 + 0.00637907i
\(552\) −12.4532 16.9355i −0.530043 0.720824i
\(553\) 34.7879 45.3365i 1.47933 1.92790i
\(554\) −6.13666 + 23.2109i −0.260722 + 0.986136i
\(555\) −12.3532 + 0.432759i −0.524362 + 0.0183696i
\(556\) −38.5116 12.7878i −1.63326 0.542325i
\(557\) −8.19326 + 12.2621i −0.347160 + 0.519561i −0.963425 0.267977i \(-0.913645\pi\)
0.616266 + 0.787538i \(0.288645\pi\)
\(558\) −31.5242 31.0292i −1.33453 1.31357i
\(559\) −1.01760 1.01760i −0.0430399 0.0430399i
\(560\) −22.4502 + 11.4450i −0.948693 + 0.483641i
\(561\) 0.687136 22.5725i 0.0290109 0.953011i
\(562\) 15.8664 32.4455i 0.669285 1.36863i
\(563\) −14.6874 0.962666i −0.619002 0.0405715i −0.247323 0.968933i \(-0.579551\pi\)
−0.371679 + 0.928361i \(0.621218\pi\)
\(564\) 5.92222 + 3.09770i 0.249370 + 0.130437i
\(565\) 9.06331 + 7.94831i 0.381296 + 0.334388i
\(566\) −0.106411 31.9902i −0.00447278 1.34465i
\(567\) 12.0243 + 43.2834i 0.504974 + 1.81773i
\(568\) 13.3337 20.3929i 0.559468 0.855665i
\(569\) −6.12371 7.98057i −0.256719 0.334563i 0.647157 0.762357i \(-0.275958\pi\)
−0.903876 + 0.427794i \(0.859291\pi\)
\(570\) 0.426952 0.526245i 0.0178830 0.0220420i
\(571\) 29.8063 + 14.6989i 1.24736 + 0.615128i 0.941520 0.336956i \(-0.109397\pi\)
0.305836 + 0.952084i \(0.401064\pi\)
\(572\) −4.75266 + 0.657895i −0.198719 + 0.0275080i
\(573\) −25.5153 + 35.7795i −1.06592 + 1.49471i
\(574\) 17.8484 + 35.8915i 0.744978 + 1.49808i
\(575\) 14.6194 0.609671
\(576\) −20.2765 12.8399i −0.844854 0.534997i
\(577\) −13.1580 −0.547775 −0.273888 0.961762i \(-0.588310\pi\)
−0.273888 + 0.961762i \(0.588310\pi\)
\(578\) −4.87115 9.79545i −0.202613 0.407437i
\(579\) −9.89079 21.6969i −0.411047 0.901694i
\(580\) −0.298034 2.15302i −0.0123752 0.0893991i
\(581\) 45.2506 + 22.3151i 1.87731 + 0.925788i
\(582\) 20.8055 + 3.31501i 0.862416 + 0.137412i
\(583\) 21.1266 + 27.5327i 0.874975 + 1.14029i
\(584\) 2.70170 + 12.9078i 0.111797 + 0.534129i
\(585\) 2.61553 + 2.27262i 0.108139 + 0.0939613i
\(586\) 0.0439929 + 13.2255i 0.00181733 + 0.546341i
\(587\) 17.0442 + 14.9474i 0.703490 + 0.616944i 0.934482 0.356011i \(-0.115864\pi\)
−0.230991 + 0.972956i \(0.574197\pi\)
\(588\) 33.2400 + 52.4030i 1.37079 + 2.16106i
\(589\) 2.28042 + 0.149466i 0.0939629 + 0.00615866i
\(590\) 4.95746 10.1376i 0.204095 0.417358i
\(591\) 39.8230 21.4034i 1.63810 0.880418i
\(592\) −17.2015 14.6850i −0.706975 0.603551i
\(593\) −9.85490 9.85490i −0.404692 0.404692i 0.475191 0.879883i \(-0.342379\pi\)
−0.879883 + 0.475191i \(0.842379\pi\)
\(594\) −16.4623 10.0054i −0.675458 0.410528i
\(595\) −17.4071 + 26.0516i −0.713622 + 1.06801i
\(596\) 4.81055 14.4874i 0.197048 0.593426i
\(597\) −2.66135 + 5.00663i −0.108922 + 0.204908i
\(598\) −1.41941 + 5.36868i −0.0580440 + 0.219541i
\(599\) −1.47878 + 1.92719i −0.0604214 + 0.0787428i −0.822587 0.568640i \(-0.807470\pi\)
0.762165 + 0.647383i \(0.224136\pi\)
\(600\) 15.5478 6.07065i 0.634738 0.247833i
\(601\) 23.4925 + 30.6160i 0.958278 + 1.24885i 0.968528 + 0.248905i \(0.0800708\pi\)
−0.0102495 + 0.999947i \(0.503263\pi\)
\(602\) −4.28223 10.2417i −0.174531 0.417422i
\(603\) −0.775961 + 0.452759i −0.0315996 + 0.0184378i
\(604\) −3.31910 3.27523i −0.135052 0.133267i
\(605\) −1.67451 + 4.93294i −0.0680783 + 0.200552i
\(606\) 21.8642 10.0550i 0.888172 0.408457i
\(607\) 3.00114 + 5.19813i 0.121813 + 0.210985i 0.920482 0.390784i \(-0.127796\pi\)
−0.798670 + 0.601769i \(0.794463\pi\)
\(608\) 1.22649 0.182270i 0.0497406 0.00739201i
\(609\) −7.24583 + 1.70702i −0.293616 + 0.0691719i
\(610\) 2.55069 7.59701i 0.103274 0.307594i
\(611\) −0.344442 1.73163i −0.0139346 0.0700541i
\(612\) −29.7971 1.61692i −1.20448 0.0653601i
\(613\) −0.258853 + 0.172960i −0.0104550 + 0.00698578i −0.560787 0.827960i \(-0.689501\pi\)
0.550332 + 0.834946i \(0.314501\pi\)
\(614\) −17.3567 2.22635i −0.700461 0.0898481i
\(615\) 4.39938 + 11.6081i 0.177400 + 0.468082i
\(616\) −35.8433 9.22182i −1.44417 0.371558i
\(617\) −21.5684 16.5500i −0.868310 0.666277i 0.0753636 0.997156i \(-0.475988\pi\)
−0.943673 + 0.330879i \(0.892655\pi\)
\(618\) −12.8413 23.7031i −0.516554 0.953478i
\(619\) −12.4689 10.9350i −0.501169 0.439514i 0.371061 0.928608i \(-0.378994\pi\)
−0.872231 + 0.489095i \(0.837327\pi\)
\(620\) −21.9791 14.4754i −0.882703 0.581347i
\(621\) −18.0338 + 13.1115i −0.723672 + 0.526148i
\(622\) 44.4675 + 8.69148i 1.78299 + 0.348497i
\(623\) 5.35312 + 19.9781i 0.214468 + 0.800406i
\(624\) 0.719769 + 6.29903i 0.0288138 + 0.252163i
\(625\) −0.942874 + 3.51885i −0.0377149 + 0.140754i
\(626\) −6.35654 + 12.9986i −0.254058 + 0.519529i
\(627\) 0.981624 0.164380i 0.0392023 0.00656470i
\(628\) 2.23928 + 31.0031i 0.0893571 + 1.23716i
\(629\) −27.5813 5.48626i −1.09974 0.218752i
\(630\) 12.0107 + 23.8771i 0.478517 + 0.951287i
\(631\) 1.24684 + 3.01014i 0.0496359 + 0.119832i 0.946753 0.321962i \(-0.104342\pi\)
−0.897117 + 0.441794i \(0.854342\pi\)
\(632\) 32.2899 2.44022i 1.28442 0.0970668i
\(633\) 16.9577 + 2.75980i 0.674007 + 0.109692i
\(634\) 15.4314 2.08382i 0.612858 0.0827591i
\(635\) −8.60931 + 17.4580i −0.341650 + 0.692798i
\(636\) 37.0351 27.0436i 1.46854 1.07235i
\(637\) 5.26943 15.5232i 0.208782 0.615053i
\(638\) 1.76473 2.66021i 0.0698662 0.105319i
\(639\) −21.5533 14.2589i −0.852636 0.564074i
\(640\) −13.3161 5.15585i −0.526364 0.203803i
\(641\) 19.8582 + 11.4652i 0.784353 + 0.452847i 0.837971 0.545715i \(-0.183742\pi\)
−0.0536176 + 0.998562i \(0.517075\pi\)
\(642\) 13.7697 2.35295i 0.543447 0.0928635i
\(643\) −3.96808 + 3.47991i −0.156486 + 0.137234i −0.734009 0.679140i \(-0.762353\pi\)
0.577523 + 0.816375i \(0.304019\pi\)
\(644\) −25.8501 + 34.1566i −1.01864 + 1.34596i
\(645\) −1.00550 3.28752i −0.0395913 0.129446i
\(646\) 1.22001 0.942608i 0.0480005 0.0370864i
\(647\) −33.2502 13.7727i −1.30720 0.541461i −0.383135 0.923692i \(-0.625156\pi\)
−0.924067 + 0.382232i \(0.875156\pi\)
\(648\) −13.7346 + 21.4327i −0.539546 + 0.841956i
\(649\) 15.3126 6.34269i 0.601073 0.248973i
\(650\) −3.82580 2.19189i −0.150060 0.0859731i
\(651\) −42.3072 + 79.5897i −1.65815 + 3.11937i
\(652\) 6.29575 12.9836i 0.246561 0.508475i
\(653\) −2.76965 + 42.2566i −0.108385 + 1.65363i 0.504466 + 0.863431i \(0.331689\pi\)
−0.612851 + 0.790199i \(0.709977\pi\)
\(654\) 46.7796 + 10.6307i 1.82923 + 0.415693i
\(655\) 1.15854 + 4.32371i 0.0452677 + 0.168941i
\(656\) −8.41240 + 21.0990i −0.328449 + 0.823779i
\(657\) 13.7060 2.79171i 0.534724 0.108915i
\(658\) 2.61250 13.3661i 0.101846 0.521066i
\(659\) −5.95755 + 2.93794i −0.232073 + 0.114446i −0.554608 0.832112i \(-0.687132\pi\)
0.322535 + 0.946558i \(0.395465\pi\)
\(660\) −10.7629 3.94130i −0.418944 0.153415i
\(661\) −9.56670 28.1826i −0.372101 1.09618i −0.958240 0.285965i \(-0.907686\pi\)
0.586139 0.810211i \(-0.300647\pi\)
\(662\) −3.91024 + 14.7898i −0.151976 + 0.574823i
\(663\) 4.60636 + 6.39713i 0.178896 + 0.248444i
\(664\) 7.67488 + 27.5407i 0.297843 + 1.06879i
\(665\) −1.27577 0.528442i −0.0494723 0.0204921i
\(666\) −15.6740 + 18.1606i −0.607355 + 0.703710i
\(667\) −2.05271 3.07210i −0.0794812 0.118952i
\(668\) −3.34840 + 5.88974i −0.129553 + 0.227881i
\(669\) −16.6720 + 23.3788i −0.644578 + 0.903877i
\(670\) −0.400698 + 0.353768i −0.0154803 + 0.0136672i
\(671\) 10.1931 5.88500i 0.393501 0.227188i
\(672\) −13.3084 + 47.0599i −0.513381 + 1.81538i
\(673\) 18.4063 + 10.6269i 0.709509 + 0.409635i 0.810879 0.585214i \(-0.198989\pi\)
−0.101370 + 0.994849i \(0.532323\pi\)
\(674\) −17.8149 + 3.60525i −0.686205 + 0.138869i
\(675\) −6.34987 16.5255i −0.244406 0.636065i
\(676\) −17.0857 + 17.3145i −0.657142 + 0.665944i
\(677\) 15.7208 1.03039i 0.604198 0.0396012i 0.239765 0.970831i \(-0.422930\pi\)
0.364433 + 0.931230i \(0.381263\pi\)
\(678\) 23.2696 2.42396i 0.893665 0.0930917i
\(679\) −5.60359 42.5635i −0.215046 1.63344i
\(680\) −17.5787 + 2.49298i −0.674112 + 0.0956013i
\(681\) −17.2943 7.78820i −0.662719 0.298444i
\(682\) −10.1284 37.3028i −0.387835 1.42840i
\(683\) 7.18796 + 1.42978i 0.275040 + 0.0547088i 0.330683 0.943742i \(-0.392721\pi\)
−0.0556432 + 0.998451i \(0.517721\pi\)
\(684\) −0.186308 1.30191i −0.00712365 0.0497798i
\(685\) −12.9499 8.65281i −0.494788 0.330607i
\(686\) 50.6040 58.0914i 1.93207 2.21794i
\(687\) 16.8774 + 10.4414i 0.643912 + 0.398366i
\(688\) 2.70689 5.67825i 0.103199 0.216481i
\(689\) −11.7014 3.13539i −0.445788 0.119449i
\(690\) −9.01385 + 9.73303i −0.343151 + 0.370530i
\(691\) 16.1596 7.96903i 0.614740 0.303156i −0.108134 0.994136i \(-0.534488\pi\)
0.722874 + 0.690980i \(0.242821\pi\)
\(692\) 15.0312 + 2.88608i 0.571402 + 0.109712i
\(693\) −9.98611 + 37.9642i −0.379341 + 1.44214i
\(694\) 33.7448 0.112247i 1.28094 0.00426086i
\(695\) −3.34253 + 25.3890i −0.126789 + 0.963061i
\(696\) −3.45875 2.41482i −0.131104 0.0915335i
\(697\) 3.68636 + 28.0007i 0.139631 + 1.06060i
\(698\) 37.7285 5.09478i 1.42804 0.192840i
\(699\) 47.7364 14.6003i 1.80556 0.552234i
\(700\) −20.8841 26.8449i −0.789343 1.01464i
\(701\) −5.11030 25.6912i −0.193013 0.970343i −0.948885 0.315623i \(-0.897786\pi\)
0.755871 0.654720i \(-0.227214\pi\)
\(702\) 6.68515 0.727388i 0.252315 0.0274535i
\(703\) 1.23940i 0.0467448i
\(704\) −9.64939 18.6207i −0.363675 0.701795i
\(705\) 1.21507 4.03887i 0.0457623 0.152113i
\(706\) 1.36920 22.0116i 0.0515305 0.828417i
\(707\) −32.3336 36.8694i −1.21603 1.38662i
\(708\) −7.89772 20.4276i −0.296815 0.767714i
\(709\) 30.6270 2.00740i 1.15022 0.0753894i 0.521662 0.853152i \(-0.325312\pi\)
0.628558 + 0.777763i \(0.283645\pi\)
\(710\) −14.2250 5.83683i −0.533854 0.219052i
\(711\) −2.40351 34.2621i −0.0901385 1.28493i
\(712\) −6.41380 + 9.80944i −0.240367 + 0.367624i
\(713\) −44.3543 5.83935i −1.66108 0.218686i
\(714\) 14.1406 + 59.1408i 0.529197 + 2.21329i
\(715\) 0.973267 + 2.86715i 0.0363981 + 0.107225i
\(716\) −7.69575 22.1850i −0.287604 0.829091i
\(717\) −1.25461 0.468922i −0.0468545 0.0175122i
\(718\) 0.982784 + 14.2671i 0.0366772 + 0.532442i
\(719\) 9.49963 + 9.49963i 0.354276 + 0.354276i 0.861698 0.507422i \(-0.169401\pi\)
−0.507422 + 0.861698i \(0.669401\pi\)
\(720\) −5.54469 + 14.0941i −0.206638 + 0.525257i
\(721\) −38.8436 + 38.8436i −1.44661 + 1.44661i
\(722\) −20.2096 17.6047i −0.752122 0.655180i
\(723\) −40.9550 + 6.85821i −1.52313 + 0.255060i
\(724\) −0.599694 0.674711i −0.0222874 0.0250755i
\(725\) 2.77798 0.942996i 0.103171 0.0350220i
\(726\) 4.81594 + 8.88947i 0.178736 + 0.329919i
\(727\) −0.0663484 + 0.503966i −0.00246072 + 0.0186911i −0.992631 0.121175i \(-0.961334\pi\)
0.990170 + 0.139866i \(0.0446672\pi\)
\(728\) 11.8859 5.06285i 0.440521 0.187642i
\(729\) 22.6539 + 14.6901i 0.839034 + 0.544079i
\(730\) 7.67805 3.21032i 0.284178 0.118819i
\(731\) −0.511542 7.80463i −0.0189201 0.288665i
\(732\) −7.45395 13.6502i −0.275506 0.504526i
\(733\) −5.98485 + 5.24858i −0.221056 + 0.193861i −0.762710 0.646741i \(-0.776132\pi\)
0.541654 + 0.840601i \(0.317798\pi\)
\(734\) 24.8510 21.9404i 0.917267 0.809835i
\(735\) 28.5211 26.8359i 1.05202 0.989859i
\(736\) −24.1916 + 1.99015i −0.891713 + 0.0733580i
\(737\) −0.785059 −0.0289180
\(738\) 22.3305 + 9.04326i 0.821996 + 0.332887i
\(739\) −45.3986 + 9.03034i −1.67001 + 0.332186i −0.937346 0.348401i \(-0.886725\pi\)
−0.732667 + 0.680587i \(0.761725\pi\)
\(740\) −7.05408 + 12.4079i −0.259313 + 0.456125i
\(741\) −0.236916 + 0.254118i −0.00870332 + 0.00933525i
\(742\) −74.3247 56.6395i −2.72855 2.07930i
\(743\) −9.55545 + 1.25800i −0.350555 + 0.0461515i −0.303748 0.952752i \(-0.598238\pi\)
−0.0468074 + 0.998904i \(0.514905\pi\)
\(744\) −49.5959 + 12.2078i −1.81827 + 0.447558i
\(745\) −9.55090 1.25740i −0.349918 0.0460675i
\(746\) 25.4467 25.6165i 0.931668 0.937887i
\(747\) 29.2548 7.98279i 1.07038 0.292075i
\(748\) −21.7777 14.3428i −0.796273 0.524424i
\(749\) −12.5900 25.5301i −0.460030 0.932849i
\(750\) −13.8488 21.9941i −0.505687 0.803111i
\(751\) −5.64944 + 21.0840i −0.206151 + 0.769366i 0.782944 + 0.622092i \(0.213717\pi\)
−0.989096 + 0.147275i \(0.952950\pi\)
\(752\) 6.63151 3.94727i 0.241826 0.143942i
\(753\) −1.63793 3.04752i −0.0596895 0.111058i
\(754\) 0.0765801 + 1.11171i 0.00278888 + 0.0404861i
\(755\) −1.63485 + 2.44673i −0.0594984 + 0.0890456i
\(756\) 49.8378 + 14.3846i 1.81258 + 0.523164i
\(757\) 2.09784 10.5466i 0.0762473 0.383321i −0.923753 0.382990i \(-0.874894\pi\)
1.00000 0.000331504i \(-0.000105521\pi\)
\(758\) −15.6997 + 27.4027i −0.570237 + 0.995311i
\(759\) −19.3855 + 1.95420i −0.703649 + 0.0709329i
\(760\) −0.258906 0.738420i −0.00939150 0.0267853i
\(761\) 36.9083 4.85907i 1.33793 0.176141i 0.572627 0.819816i \(-0.305924\pi\)
0.765299 + 0.643675i \(0.222591\pi\)
\(762\) 13.5056 + 35.2809i 0.489257 + 1.27809i
\(763\) −6.39346 97.5454i −0.231459 3.53138i
\(764\) 19.7303 + 46.7510i 0.713817 + 1.69139i
\(765\) 2.54361 + 18.6590i 0.0919644 + 0.674617i
\(766\) −16.6863 11.0693i −0.602902 0.399952i
\(767\) −2.89278 + 5.01045i −0.104452 + 0.180917i
\(768\) −24.9015 + 12.1620i −0.898556 + 0.438858i
\(769\) −4.49152 7.77954i −0.161968 0.280537i 0.773606 0.633667i \(-0.218451\pi\)
−0.935575 + 0.353129i \(0.885118\pi\)
\(770\) −1.45003 + 23.3110i −0.0522554 + 0.840071i