Properties

Label 576.2.bm.a.205.63
Level $576$
Weight $2$
Character 576.205
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.bm (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 205.63
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.63

$q$-expansion

\(f(q)\) \(=\) \(q+(0.651385 + 1.25527i) q^{2} +(1.08369 - 1.35115i) q^{3} +(-1.15140 + 1.63532i) q^{4} +(0.269515 + 0.307323i) q^{5} +(2.40196 + 0.480209i) q^{6} +(4.59076 + 0.604385i) q^{7} +(-2.80277 - 0.380086i) q^{8} +(-0.651211 - 2.92847i) q^{9} +O(q^{10})\) \(q+(0.651385 + 1.25527i) q^{2} +(1.08369 - 1.35115i) q^{3} +(-1.15140 + 1.63532i) q^{4} +(0.269515 + 0.307323i) q^{5} +(2.40196 + 0.480209i) q^{6} +(4.59076 + 0.604385i) q^{7} +(-2.80277 - 0.380086i) q^{8} +(-0.651211 - 2.92847i) q^{9} +(-0.210215 + 0.538499i) q^{10} +(-0.227808 - 0.461948i) q^{11} +(0.961806 + 3.32790i) q^{12} +(-1.02572 - 3.02167i) q^{13} +(2.23168 + 6.15632i) q^{14} +(0.707311 - 0.0311108i) q^{15} +(-1.34857 - 3.76581i) q^{16} +(5.43886 + 5.43886i) q^{17} +(3.25182 - 2.72500i) q^{18} +(-0.919955 + 4.62492i) q^{19} +(-0.812891 + 0.0868940i) q^{20} +(5.79159 - 5.54783i) q^{21} +(0.431478 - 0.586865i) q^{22} +(0.0161523 + 0.122689i) q^{23} +(-3.55090 + 3.37507i) q^{24} +(0.630822 - 4.79157i) q^{25} +(3.12486 - 3.25582i) q^{26} +(-4.66251 - 2.29368i) q^{27} +(-6.27415 + 6.81149i) q^{28} +(-4.85353 + 0.318117i) q^{29} +(0.499784 + 0.867600i) q^{30} +(2.27172 - 1.31158i) q^{31} +(3.84867 - 4.14581i) q^{32} +(-0.871035 - 0.192809i) q^{33} +(-3.28444 + 10.3700i) q^{34} +(1.05154 + 1.57374i) q^{35} +(5.53880 + 2.30689i) q^{36} +(0.148761 + 0.747872i) q^{37} +(-6.40476 + 1.85781i) q^{38} +(-5.19429 - 1.88867i) q^{39} +(-0.638580 - 0.963795i) q^{40} +(0.457687 + 3.47648i) q^{41} +(10.7366 + 3.65623i) q^{42} +(2.07690 - 1.02421i) q^{43} +(1.01773 + 0.159346i) q^{44} +(0.724474 - 0.989398i) q^{45} +(-0.143486 + 0.100193i) q^{46} +(-8.80813 + 2.36013i) q^{47} +(-6.54962 - 2.25887i) q^{48} +(13.9483 + 3.73743i) q^{49} +(6.42561 - 2.32930i) q^{50} +(13.2428 - 1.45465i) q^{51} +(6.12241 + 1.80175i) q^{52} +(-4.67567 + 6.99763i) q^{53} +(-0.157904 - 7.34677i) q^{54} +(0.0805697 - 0.194512i) q^{55} +(-12.6371 - 3.43883i) q^{56} +(5.25202 + 6.25500i) q^{57} +(-3.56084 - 5.88526i) q^{58} +(-4.63489 - 5.28508i) q^{59} +(-0.763519 + 1.19250i) q^{60} +(0.216157 + 3.29792i) q^{61} +(3.12615 + 1.99728i) q^{62} +(-1.21963 - 13.8375i) q^{63} +(7.71107 + 2.13059i) q^{64} +(0.652181 - 1.12961i) q^{65} +(-0.325352 - 1.21897i) q^{66} +(-4.63129 - 2.28390i) q^{67} +(-15.1566 + 2.63202i) q^{68} +(0.183275 + 0.111133i) q^{69} +(-1.29051 + 2.34507i) q^{70} +(-1.65370 - 3.99239i) q^{71} +(0.712128 + 8.45535i) q^{72} +(0.479803 - 1.15835i) q^{73} +(-0.841880 + 0.673888i) q^{74} +(-5.79051 - 6.04493i) q^{75} +(-6.50402 - 6.82955i) q^{76} +(-0.766615 - 2.25837i) q^{77} +(-1.01270 - 7.75047i) q^{78} +(-3.00296 - 11.2072i) q^{79} +(0.793860 - 1.42939i) q^{80} +(-8.15185 + 3.81410i) q^{81} +(-4.06578 + 2.83905i) q^{82} +(6.07699 + 5.32938i) q^{83} +(2.40409 + 15.8589i) q^{84} +(-0.205632 + 3.13734i) q^{85} +(2.63853 + 1.93991i) q^{86} +(-4.82992 + 6.90259i) q^{87} +(0.462913 + 1.38132i) q^{88} +(1.71193 - 0.709104i) q^{89} +(1.71387 + 0.264931i) q^{90} +(-2.88257 - 14.4917i) q^{91} +(-0.219234 - 0.114849i) q^{92} +(0.689714 - 4.49079i) q^{93} +(-8.70008 - 9.51921i) q^{94} +(-1.66929 + 0.963763i) q^{95} +(-1.43084 - 9.69292i) q^{96} +(-12.8071 - 7.39419i) q^{97} +(4.39422 + 19.9433i) q^{98} +(-1.20445 + 0.967953i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.651385 + 1.25527i 0.460598 + 0.887609i
\(3\) 1.08369 1.35115i 0.625671 0.780087i
\(4\) −1.15140 + 1.63532i −0.575698 + 0.817662i
\(5\) 0.269515 + 0.307323i 0.120531 + 0.137439i 0.808958 0.587866i \(-0.200032\pi\)
−0.688427 + 0.725305i \(0.741699\pi\)
\(6\) 2.40196 + 0.480209i 0.980595 + 0.196045i
\(7\) 4.59076 + 0.604385i 1.73514 + 0.228436i 0.930749 0.365660i \(-0.119157\pi\)
0.804394 + 0.594096i \(0.202490\pi\)
\(8\) −2.80277 0.380086i −0.990930 0.134381i
\(9\) −0.651211 2.92847i −0.217070 0.976156i
\(10\) −0.210215 + 0.538499i −0.0664758 + 0.170288i
\(11\) −0.227808 0.461948i −0.0686865 0.139283i 0.859822 0.510595i \(-0.170575\pi\)
−0.928508 + 0.371312i \(0.878908\pi\)
\(12\) 0.961806 + 3.32790i 0.277650 + 0.960682i
\(13\) −1.02572 3.02167i −0.284483 0.838059i −0.991412 0.130775i \(-0.958253\pi\)
0.706929 0.707284i \(-0.250080\pi\)
\(14\) 2.23168 + 6.15632i 0.596442 + 1.64535i
\(15\) 0.707311 0.0311108i 0.182627 0.00803278i
\(16\) −1.34857 3.76581i −0.337143 0.941453i
\(17\) 5.43886 + 5.43886i 1.31912 + 1.31912i 0.914476 + 0.404640i \(0.132603\pi\)
0.404640 + 0.914476i \(0.367397\pi\)
\(18\) 3.25182 2.72500i 0.766462 0.642289i
\(19\) −0.919955 + 4.62492i −0.211052 + 1.06103i 0.719394 + 0.694602i \(0.244420\pi\)
−0.930446 + 0.366428i \(0.880580\pi\)
\(20\) −0.812891 + 0.0868940i −0.181768 + 0.0194301i
\(21\) 5.79159 5.54783i 1.26383 1.21064i
\(22\) 0.431478 0.586865i 0.0919915 0.125120i
\(23\) 0.0161523 + 0.122689i 0.00336798 + 0.0255824i 0.993046 0.117724i \(-0.0375599\pi\)
−0.989678 + 0.143307i \(0.954227\pi\)
\(24\) −3.55090 + 3.37507i −0.724825 + 0.688933i
\(25\) 0.630822 4.79157i 0.126164 0.958314i
\(26\) 3.12486 3.25582i 0.612836 0.638518i
\(27\) −4.66251 2.29368i −0.897301 0.441419i
\(28\) −6.27415 + 6.81149i −1.18570 + 1.28725i
\(29\) −4.85353 + 0.318117i −0.901278 + 0.0590729i −0.508993 0.860771i \(-0.669982\pi\)
−0.392285 + 0.919844i \(0.628315\pi\)
\(30\) 0.499784 + 0.867600i 0.0912477 + 0.158401i
\(31\) 2.27172 1.31158i 0.408014 0.235567i −0.281922 0.959437i \(-0.590972\pi\)
0.689936 + 0.723870i \(0.257639\pi\)
\(32\) 3.84867 4.14581i 0.680354 0.732883i
\(33\) −0.871035 0.192809i −0.151628 0.0335637i
\(34\) −3.28444 + 10.3700i −0.563276 + 1.77844i
\(35\) 1.05154 + 1.57374i 0.177742 + 0.266010i
\(36\) 5.53880 + 2.30689i 0.923133 + 0.384481i
\(37\) 0.148761 + 0.747872i 0.0244562 + 0.122949i 0.991085 0.133232i \(-0.0425355\pi\)
−0.966629 + 0.256181i \(0.917536\pi\)
\(38\) −6.40476 + 1.85781i −1.03899 + 0.301377i
\(39\) −5.19429 1.88867i −0.831752 0.302429i
\(40\) −0.638580 0.963795i −0.100968 0.152389i
\(41\) 0.457687 + 3.47648i 0.0714787 + 0.542935i 0.989295 + 0.145929i \(0.0466173\pi\)
−0.917816 + 0.397005i \(0.870049\pi\)
\(42\) 10.7366 + 3.65623i 1.65669 + 0.564169i
\(43\) 2.07690 1.02421i 0.316725 0.156191i −0.276977 0.960877i \(-0.589333\pi\)
0.593702 + 0.804685i \(0.297666\pi\)
\(44\) 1.01773 + 0.159346i 0.153429 + 0.0240223i
\(45\) 0.724474 0.989398i 0.107998 0.147491i
\(46\) −0.143486 + 0.100193i −0.0211559 + 0.0147727i
\(47\) −8.80813 + 2.36013i −1.28480 + 0.344261i −0.835682 0.549213i \(-0.814927\pi\)
−0.449115 + 0.893474i \(0.648261\pi\)
\(48\) −6.54962 2.25887i −0.945356 0.326040i
\(49\) 13.9483 + 3.73743i 1.99261 + 0.533919i
\(50\) 6.42561 2.32930i 0.908719 0.329413i
\(51\) 13.2428 1.45465i 1.85436 0.203692i
\(52\) 6.12241 + 1.80175i 0.849026 + 0.249858i
\(53\) −4.67567 + 6.99763i −0.642252 + 0.961198i 0.357377 + 0.933960i \(0.383671\pi\)
−0.999629 + 0.0272379i \(0.991329\pi\)
\(54\) −0.157904 7.34677i −0.0214880 0.999769i
\(55\) 0.0805697 0.194512i 0.0108640 0.0262280i
\(56\) −12.6371 3.43883i −1.68871 0.459534i
\(57\) 5.25202 + 6.25500i 0.695646 + 0.828495i
\(58\) −3.56084 5.88526i −0.467561 0.772773i
\(59\) −4.63489 5.28508i −0.603412 0.688059i 0.366805 0.930298i \(-0.380452\pi\)
−0.970217 + 0.242239i \(0.922118\pi\)
\(60\) −0.763519 + 1.19250i −0.0985699 + 0.153952i
\(61\) 0.216157 + 3.29792i 0.0276761 + 0.422255i 0.989106 + 0.147205i \(0.0470277\pi\)
−0.961430 + 0.275050i \(0.911306\pi\)
\(62\) 3.12615 + 1.99728i 0.397022 + 0.253655i
\(63\) −1.21963 13.8375i −0.153659 1.74336i
\(64\) 7.71107 + 2.13059i 0.963884 + 0.266324i
\(65\) 0.652181 1.12961i 0.0808931 0.140111i
\(66\) −0.325352 1.21897i −0.0400481 0.150045i
\(67\) −4.63129 2.28390i −0.565803 0.279023i 0.136808 0.990598i \(-0.456316\pi\)
−0.702611 + 0.711575i \(0.747982\pi\)
\(68\) −15.1566 + 2.63202i −1.83800 + 0.319179i
\(69\) 0.183275 + 0.111133i 0.0220637 + 0.0133788i
\(70\) −1.29051 + 2.34507i −0.154245 + 0.280289i
\(71\) −1.65370 3.99239i −0.196258 0.473810i 0.794860 0.606793i \(-0.207544\pi\)
−0.991118 + 0.132983i \(0.957544\pi\)
\(72\) 0.712128 + 8.45535i 0.0839250 + 0.996472i
\(73\) 0.479803 1.15835i 0.0561567 0.135574i −0.893311 0.449439i \(-0.851624\pi\)
0.949468 + 0.313865i \(0.101624\pi\)
\(74\) −0.841880 + 0.673888i −0.0978665 + 0.0783378i
\(75\) −5.79051 6.04493i −0.668630 0.698009i
\(76\) −6.50402 6.82955i −0.746062 0.783403i
\(77\) −0.766615 2.25837i −0.0873638 0.257366i
\(78\) −1.01270 7.75047i −0.114665 0.877568i
\(79\) −3.00296 11.2072i −0.337860 1.26091i −0.900736 0.434368i \(-0.856972\pi\)
0.562876 0.826541i \(-0.309695\pi\)
\(80\) 0.793860 1.42939i 0.0887563 0.159811i
\(81\) −8.15185 + 3.81410i −0.905761 + 0.423789i
\(82\) −4.06578 + 2.83905i −0.448991 + 0.313520i
\(83\) 6.07699 + 5.32938i 0.667036 + 0.584975i 0.924439 0.381329i \(-0.124534\pi\)
−0.257403 + 0.966304i \(0.582867\pi\)
\(84\) 2.40409 + 15.8589i 0.262307 + 1.73035i
\(85\) −0.205632 + 3.13734i −0.0223039 + 0.340292i
\(86\) 2.63853 + 1.93991i 0.284520 + 0.209186i
\(87\) −4.82992 + 6.90259i −0.517822 + 0.740035i
\(88\) 0.462913 + 1.38132i 0.0493467 + 0.147249i
\(89\) 1.71193 0.709104i 0.181464 0.0751649i −0.290101 0.956996i \(-0.593689\pi\)
0.471566 + 0.881831i \(0.343689\pi\)
\(90\) 1.71387 + 0.264931i 0.180658 + 0.0279261i
\(91\) −2.88257 14.4917i −0.302175 1.51914i
\(92\) −0.219234 0.114849i −0.0228567 0.0119739i
\(93\) 0.689714 4.49079i 0.0715200 0.465673i
\(94\) −8.70008 9.51921i −0.897344 0.981832i
\(95\) −1.66929 + 0.963763i −0.171265 + 0.0988800i
\(96\) −1.43084 9.69292i −0.146034 0.989280i
\(97\) −12.8071 7.39419i −1.30036 0.750766i −0.319898 0.947452i \(-0.603649\pi\)
−0.980467 + 0.196686i \(0.936982\pi\)
\(98\) 4.39422 + 19.9433i 0.443883 + 2.01458i
\(99\) −1.20445 + 0.967953i −0.121052 + 0.0972829i
\(100\) 7.10944 + 6.54859i 0.710944 + 0.654859i
\(101\) −14.3889 4.88437i −1.43175 0.486013i −0.505466 0.862846i \(-0.668679\pi\)
−0.926281 + 0.376834i \(0.877013\pi\)
\(102\) 10.4521 + 15.6757i 1.03491 + 1.55212i
\(103\) −12.1613 9.33166i −1.19828 0.919476i −0.200104 0.979775i \(-0.564128\pi\)
−0.998180 + 0.0602988i \(0.980795\pi\)
\(104\) 1.72636 + 8.85890i 0.169283 + 0.868687i
\(105\) 3.26590 + 0.284666i 0.318719 + 0.0277805i
\(106\) −11.8296 1.31107i −1.14899 0.127342i
\(107\) −13.6996 9.15377i −1.32439 0.884928i −0.326213 0.945296i \(-0.605773\pi\)
−0.998176 + 0.0603681i \(0.980773\pi\)
\(108\) 9.11931 4.98379i 0.877506 0.479565i
\(109\) −1.08032 + 5.43114i −0.103476 + 0.520209i 0.893929 + 0.448209i \(0.147938\pi\)
−0.997405 + 0.0719998i \(0.977062\pi\)
\(110\) 0.296647 0.0255658i 0.0282842 0.00243761i
\(111\) 1.17170 + 0.609467i 0.111213 + 0.0578480i
\(112\) −3.91497 18.1030i −0.369930 1.71057i
\(113\) 6.12613 + 1.64149i 0.576297 + 0.154418i 0.535183 0.844736i \(-0.320243\pi\)
0.0411143 + 0.999154i \(0.486909\pi\)
\(114\) −4.43062 + 10.6671i −0.414966 + 0.999065i
\(115\) −0.0333518 + 0.0380304i −0.00311007 + 0.00354636i
\(116\) 5.06811 8.30337i 0.470562 0.770949i
\(117\) −8.18089 + 4.97152i −0.756324 + 0.459617i
\(118\) 3.61510 9.26066i 0.332797 0.852513i
\(119\) 21.6813 + 28.2556i 1.98752 + 2.59019i
\(120\) −1.99426 0.181642i −0.182050 0.0165816i
\(121\) 6.53488 8.51642i 0.594080 0.774220i
\(122\) −3.99897 + 2.41955i −0.362050 + 0.219055i
\(123\) 5.19324 + 3.14904i 0.468258 + 0.283939i
\(124\) −0.470795 + 5.22516i −0.0422786 + 0.469233i
\(125\) 3.34194 2.23301i 0.298912 0.199727i
\(126\) 16.5753 10.5445i 1.47664 0.939377i
\(127\) 3.10930 0.275906 0.137953 0.990439i \(-0.455948\pi\)
0.137953 + 0.990439i \(0.455948\pi\)
\(128\) 2.34841 + 11.0673i 0.207572 + 0.978220i
\(129\) 0.866860 3.91614i 0.0763228 0.344797i
\(130\) 1.84278 + 0.0828511i 0.161623 + 0.00726652i
\(131\) −0.465733 0.229674i −0.0406913 0.0200667i 0.421829 0.906675i \(-0.361388\pi\)
−0.462521 + 0.886609i \(0.653055\pi\)
\(132\) 1.31821 1.20243i 0.114736 0.104658i
\(133\) −7.01852 + 20.6759i −0.608583 + 1.79283i
\(134\) −0.149845 7.30122i −0.0129446 0.630729i
\(135\) −0.551716 2.05108i −0.0474842 0.176529i
\(136\) −13.1766 17.3111i −1.12989 1.48442i
\(137\) 3.56862 + 4.65071i 0.304887 + 0.397337i 0.920519 0.390697i \(-0.127766\pi\)
−0.615632 + 0.788034i \(0.711099\pi\)
\(138\) −0.0201192 + 0.302450i −0.00171266 + 0.0257462i
\(139\) 17.1700 + 1.12538i 1.45634 + 0.0954536i 0.772889 0.634542i \(-0.218811\pi\)
0.683452 + 0.729995i \(0.260478\pi\)
\(140\) −3.78430 0.0923899i −0.319832 0.00780837i
\(141\) −6.35643 + 14.4588i −0.535308 + 1.21765i
\(142\) 3.93433 4.67642i 0.330161 0.392437i
\(143\) −1.16219 + 1.16219i −0.0971869 + 0.0971869i
\(144\) −10.1499 + 6.40159i −0.845821 + 0.533466i
\(145\) −1.40586 1.40586i −0.116751 0.116751i
\(146\) 1.76657 0.152248i 0.146203 0.0126001i
\(147\) 20.1655 14.7960i 1.66322 1.22035i
\(148\) −1.39430 0.617825i −0.114611 0.0507849i
\(149\) −0.455816 + 6.95442i −0.0373419 + 0.569728i 0.937663 + 0.347545i \(0.112985\pi\)
−0.975005 + 0.222183i \(0.928682\pi\)
\(150\) 3.81616 11.2062i 0.311588 0.914984i
\(151\) 0.908968 0.697476i 0.0739708 0.0567598i −0.571114 0.820871i \(-0.693489\pi\)
0.645085 + 0.764111i \(0.276822\pi\)
\(152\) 4.33629 12.6129i 0.351720 1.02305i
\(153\) 12.3857 19.4694i 1.00132 1.57400i
\(154\) 2.33550 2.43338i 0.188200 0.196087i
\(155\) 1.01534 + 0.344662i 0.0815543 + 0.0276839i
\(156\) 9.06926 6.31974i 0.726122 0.505984i
\(157\) −10.5460 + 21.3852i −0.841665 + 1.70673i −0.144878 + 0.989449i \(0.546279\pi\)
−0.696787 + 0.717278i \(0.745388\pi\)
\(158\) 12.1120 11.0697i 0.963576 0.880660i
\(159\) 4.38785 + 13.9008i 0.347979 + 1.10241i
\(160\) 2.31138 + 0.0654245i 0.182730 + 0.00517226i
\(161\) 0.572997i 0.0451585i
\(162\) −10.0977 7.74831i −0.793351 0.608765i
\(163\) −7.34628 10.9945i −0.575405 0.861154i 0.423596 0.905851i \(-0.360768\pi\)
−0.999001 + 0.0446970i \(0.985768\pi\)
\(164\) −6.21215 3.25434i −0.485088 0.254121i
\(165\) −0.175502 0.319654i −0.0136628 0.0248850i
\(166\) −2.73134 + 11.0997i −0.211993 + 0.861506i
\(167\) −10.9110 8.37228i −0.844316 0.647866i 0.0932622 0.995642i \(-0.470271\pi\)
−0.937578 + 0.347775i \(0.886937\pi\)
\(168\) −18.3412 + 13.3480i −1.41505 + 1.02982i
\(169\) 2.23523 1.71515i 0.171940 0.131935i
\(170\) −4.07215 + 1.78549i −0.312319 + 0.136941i
\(171\) 14.1430 0.317745i 1.08154 0.0242986i
\(172\) −0.716414 + 4.57569i −0.0546260 + 0.348893i
\(173\) 8.78136 + 7.70104i 0.667634 + 0.585499i 0.924608 0.380919i \(-0.124392\pi\)
−0.256974 + 0.966418i \(0.582726\pi\)
\(174\) −11.8107 1.56661i −0.895369 0.118764i
\(175\) 5.79190 21.6157i 0.437826 1.63399i
\(176\) −1.43239 + 1.48085i −0.107971 + 0.111623i
\(177\) −12.1638 + 0.535018i −0.914284 + 0.0402144i
\(178\) 2.00524 + 1.68703i 0.150299 + 0.126448i
\(179\) −21.9568 4.36748i −1.64113 0.326441i −0.713703 0.700448i \(-0.752984\pi\)
−0.927426 + 0.374007i \(0.877984\pi\)
\(180\) 0.783830 + 2.32394i 0.0584233 + 0.173216i
\(181\) 8.20812 12.2843i 0.610105 0.913087i −0.389865 0.920872i \(-0.627478\pi\)
0.999970 + 0.00778551i \(0.00247823\pi\)
\(182\) 16.3133 13.0580i 1.20922 0.967926i
\(183\) 4.69023 + 3.28187i 0.346712 + 0.242603i
\(184\) 0.00136110 0.350008i 0.000100342 0.0258029i
\(185\) −0.189745 + 0.247281i −0.0139503 + 0.0181804i
\(186\) 6.08642 2.05946i 0.446278 0.151007i
\(187\) 1.27346 3.75148i 0.0931243 0.274335i
\(188\) 6.28207 17.1216i 0.458167 1.24872i
\(189\) −20.0182 13.3477i −1.45611 0.970901i
\(190\) −2.29713 1.46762i −0.166651 0.106473i
\(191\) −7.99150 + 13.8417i −0.578245 + 1.00155i 0.417436 + 0.908706i \(0.362929\pi\)
−0.995681 + 0.0928429i \(0.970405\pi\)
\(192\) 11.2352 8.10990i 0.810830 0.585282i
\(193\) 9.08045 + 15.7278i 0.653625 + 1.13211i 0.982237 + 0.187647i \(0.0600860\pi\)
−0.328611 + 0.944465i \(0.606581\pi\)
\(194\) 0.939336 20.8928i 0.0674404 1.50002i
\(195\) −0.819508 2.10535i −0.0586862 0.150767i
\(196\) −22.1719 + 18.5067i −1.58371 + 1.32191i
\(197\) 4.42646 0.880478i 0.315372 0.0627314i −0.0348663 0.999392i \(-0.511101\pi\)
0.350239 + 0.936661i \(0.386101\pi\)
\(198\) −1.99960 0.881397i −0.142105 0.0626381i
\(199\) 9.56711 + 23.0971i 0.678195 + 1.63731i 0.767303 + 0.641285i \(0.221598\pi\)
−0.0891082 + 0.996022i \(0.528402\pi\)
\(200\) −3.58926 + 13.1899i −0.253799 + 0.932667i
\(201\) −8.10480 + 3.78252i −0.571669 + 0.266798i
\(202\) −3.24150 21.2435i −0.228071 1.49469i
\(203\) −22.4736 1.47300i −1.57734 0.103384i
\(204\) −12.8688 + 23.3311i −0.901000 + 1.63350i
\(205\) −0.945048 + 1.07762i −0.0660050 + 0.0752643i
\(206\) 3.79208 21.3441i 0.264207 1.48712i
\(207\) 0.348772 0.127198i 0.0242413 0.00884086i
\(208\) −9.99577 + 7.93760i −0.693082 + 0.550373i
\(209\) 2.34605 0.628621i 0.162279 0.0434826i
\(210\) 1.77002 + 4.28500i 0.122143 + 0.295693i
\(211\) 13.4548 4.56728i 0.926265 0.314425i 0.182762 0.983157i \(-0.441496\pi\)
0.743503 + 0.668732i \(0.233163\pi\)
\(212\) −6.05985 15.7033i −0.416192 1.07851i
\(213\) −7.18643 2.09213i −0.492406 0.143351i
\(214\) 2.56674 23.1593i 0.175459 1.58314i
\(215\) 0.874521 + 0.362238i 0.0596418 + 0.0247045i
\(216\) 12.1962 + 8.20082i 0.829844 + 0.557995i
\(217\) 11.2216 4.64815i 0.761774 0.315537i
\(218\) −7.52124 + 2.18167i −0.509403 + 0.147761i
\(219\) −1.04514 1.90358i −0.0706240 0.128632i
\(220\) 0.225323 + 0.355718i 0.0151913 + 0.0239825i
\(221\) 10.8557 22.0131i 0.730232 1.48076i
\(222\) −0.00181768 + 1.86779i −0.000121995 + 0.125358i
\(223\) −21.5161 12.4223i −1.44082 0.831860i −0.442919 0.896562i \(-0.646057\pi\)
−0.997905 + 0.0647022i \(0.979390\pi\)
\(224\) 20.1740 16.7063i 1.34793 1.11624i
\(225\) −14.4428 + 1.27298i −0.962850 + 0.0848654i
\(226\) 1.92995 + 8.75917i 0.128379 + 0.582652i
\(227\) 5.48898 0.359767i 0.364316 0.0238785i 0.117854 0.993031i \(-0.462399\pi\)
0.246462 + 0.969152i \(0.420732\pi\)
\(228\) −16.2761 + 1.38676i −1.07791 + 0.0918406i
\(229\) 16.1626 14.1743i 1.06806 0.936661i 0.0699131 0.997553i \(-0.477728\pi\)
0.998144 + 0.0608918i \(0.0193945\pi\)
\(230\) −0.0694632 0.0170930i −0.00458027 0.00112708i
\(231\) −3.88218 1.41158i −0.255429 0.0928749i
\(232\) 13.7243 + 0.953148i 0.901041 + 0.0625773i
\(233\) 25.5356 + 10.5772i 1.67289 + 0.692935i 0.998948 0.0458474i \(-0.0145988\pi\)
0.673944 + 0.738782i \(0.264599\pi\)
\(234\) −11.5695 7.03084i −0.756322 0.459620i
\(235\) −3.09925 2.07085i −0.202172 0.135087i
\(236\) 13.9794 1.49433i 0.909983 0.0972726i
\(237\) −18.3969 8.08774i −1.19501 0.525355i
\(238\) −21.3455 + 45.6211i −1.38362 + 2.95718i
\(239\) −4.91787 + 18.3537i −0.318111 + 1.18720i 0.602948 + 0.797781i \(0.293993\pi\)
−0.921059 + 0.389424i \(0.872674\pi\)
\(240\) −1.07102 2.62165i −0.0691340 0.169227i
\(241\) 7.47851 + 27.9102i 0.481733 + 1.79785i 0.594342 + 0.804213i \(0.297413\pi\)
−0.112609 + 0.993639i \(0.535921\pi\)
\(242\) 14.9471 + 2.65556i 0.960836 + 0.170706i
\(243\) −3.68069 + 15.1477i −0.236116 + 0.971725i
\(244\) −5.64205 3.44372i −0.361195 0.220462i
\(245\) 2.61067 + 5.29392i 0.166790 + 0.338216i
\(246\) −0.570093 + 8.57014i −0.0363478 + 0.546412i
\(247\) 14.9186 1.96407i 0.949247 0.124971i
\(248\) −6.86564 + 2.81261i −0.435969 + 0.178601i
\(249\) 13.7864 2.43550i 0.873677 0.154344i
\(250\) 4.97991 + 2.74048i 0.314957 + 0.173323i
\(251\) 29.5567 5.87918i 1.86560 0.371091i 0.872524 0.488571i \(-0.162482\pi\)
0.993075 + 0.117480i \(0.0374817\pi\)
\(252\) 24.0330 + 13.9379i 1.51394 + 0.878006i
\(253\) 0.0529962 0.0354109i 0.00333184 0.00222627i
\(254\) 2.02535 + 3.90301i 0.127082 + 0.244897i
\(255\) 4.01617 + 3.67776i 0.251502 + 0.230310i
\(256\) −12.3627 + 10.1569i −0.772669 + 0.634809i
\(257\) 8.33211 + 14.4316i 0.519743 + 0.900220i 0.999737 + 0.0229488i \(0.00730546\pi\)
−0.479994 + 0.877272i \(0.659361\pi\)
\(258\) 5.48047 1.46277i 0.341199 0.0910682i
\(259\) 0.230923 + 3.52321i 0.0143489 + 0.218922i
\(260\) 1.09636 + 2.36716i 0.0679934 + 0.146805i
\(261\) 4.09227 + 14.0062i 0.253305 + 0.866965i
\(262\) −0.0150687 0.734226i −0.000930947 0.0453606i
\(263\) 8.20236 + 1.07986i 0.505779 + 0.0665871i 0.379098 0.925356i \(-0.376234\pi\)
0.126681 + 0.991944i \(0.459568\pi\)
\(264\) 2.36803 + 0.871466i 0.145742 + 0.0536351i
\(265\) −3.41069 + 0.449026i −0.209517 + 0.0275835i
\(266\) −30.5256 + 4.65783i −1.87164 + 0.285590i
\(267\) 0.897103 3.08152i 0.0549018 0.188586i
\(268\) 9.06738 4.94399i 0.553878 0.302002i
\(269\) −0.00902880 0.00179594i −0.000550496 0.000109500i 0.194815 0.980840i \(-0.437589\pi\)
−0.195366 + 0.980730i \(0.562589\pi\)
\(270\) 2.21527 2.02859i 0.134817 0.123456i
\(271\) −4.89402 + 4.89402i −0.297291 + 0.297291i −0.839952 0.542661i \(-0.817417\pi\)
0.542661 + 0.839952i \(0.317417\pi\)
\(272\) 13.1470 27.8164i 0.797155 1.68662i
\(273\) −22.7042 11.8098i −1.37412 0.714759i
\(274\) −3.51335 + 7.50897i −0.212249 + 0.453634i
\(275\) −2.35716 + 0.800148i −0.142142 + 0.0482508i
\(276\) −0.392761 + 0.171756i −0.0236414 + 0.0103385i
\(277\) −14.3169 + 7.06034i −0.860222 + 0.424214i −0.818222 0.574903i \(-0.805040\pi\)
−0.0420004 + 0.999118i \(0.513373\pi\)
\(278\) 9.77162 + 22.2860i 0.586063 + 1.33663i
\(279\) −5.32029 5.79856i −0.318518 0.347150i
\(280\) −2.34906 4.81050i −0.140383 0.287482i
\(281\) −0.440762 + 3.34792i −0.0262936 + 0.199720i −0.999550 0.0300024i \(-0.990448\pi\)
0.973256 + 0.229722i \(0.0737818\pi\)
\(282\) −22.2901 + 1.43919i −1.32736 + 0.0857023i
\(283\) −11.8521 + 10.3940i −0.704531 + 0.617857i −0.934760 0.355279i \(-0.884386\pi\)
0.230229 + 0.973136i \(0.426053\pi\)
\(284\) 8.43292 + 1.89248i 0.500402 + 0.112298i
\(285\) −0.506809 + 3.29988i −0.0300208 + 0.195468i
\(286\) −2.21589 0.701825i −0.131028 0.0414998i
\(287\) 16.2363i 0.958398i
\(288\) −14.6472 8.57089i −0.863093 0.505045i
\(289\) 42.1623i 2.48013i
\(290\) 0.848978 2.68049i 0.0498537 0.157404i
\(291\) −23.8697 + 9.29128i −1.39926 + 0.544664i
\(292\) 1.34183 + 2.11835i 0.0785246 + 0.123967i
\(293\) 22.8718 20.0580i 1.33618 1.17180i 0.365674 0.930743i \(-0.380838\pi\)
0.970510 0.241059i \(-0.0774949\pi\)
\(294\) 31.7084 + 15.6753i 1.84927 + 0.914199i
\(295\) 0.375054 2.84882i 0.0218365 0.165865i
\(296\) −0.132688 2.15266i −0.00771231 0.125121i
\(297\) 0.00259406 + 2.67636i 0.000150522 + 0.155298i
\(298\) −9.02657 + 3.95783i −0.522895 + 0.229271i
\(299\) 0.354157 0.174651i 0.0204814 0.0101003i
\(300\) 16.5526 2.50925i 0.955665 0.144871i
\(301\) 10.1536 3.44667i 0.585242 0.198663i
\(302\) 1.46761 + 0.686674i 0.0844513 + 0.0395137i
\(303\) −22.1927 + 14.1484i −1.27494 + 0.812803i
\(304\) 18.6572 2.77267i 1.07007 0.159024i
\(305\) −0.955268 + 0.955268i −0.0546985 + 0.0546985i
\(306\) 32.5071 + 2.86530i 1.85831 + 0.163798i
\(307\) 21.5391 + 4.28439i 1.22930 + 0.244523i 0.766678 0.642032i \(-0.221908\pi\)
0.462623 + 0.886555i \(0.346908\pi\)
\(308\) 4.57585 + 1.34662i 0.260733 + 0.0767308i
\(309\) −25.7876 + 6.31901i −1.46700 + 0.359476i
\(310\) 0.228735 + 1.49903i 0.0129913 + 0.0851395i
\(311\) 6.44656 0.848705i 0.365551 0.0481257i 0.0544863 0.998515i \(-0.482648\pi\)
0.311064 + 0.950389i \(0.399315\pi\)
\(312\) 13.8406 + 7.26778i 0.783567 + 0.411457i
\(313\) 25.2700 + 3.32686i 1.42835 + 0.188045i 0.804709 0.593669i \(-0.202321\pi\)
0.623636 + 0.781715i \(0.285655\pi\)
\(314\) −33.7137 + 0.691915i −1.90258 + 0.0390470i
\(315\) 3.92386 4.10423i 0.221085 0.231247i
\(316\) 21.7850 + 7.99312i 1.22550 + 0.449648i
\(317\) 0.335445 + 5.11790i 0.0188405 + 0.287450i 0.996874 + 0.0790038i \(0.0251739\pi\)
−0.978034 + 0.208446i \(0.933159\pi\)
\(318\) −14.5911 + 14.5627i −0.818227 + 0.816636i
\(319\) 1.25262 + 2.16961i 0.0701335 + 0.121475i
\(320\) 1.42347 + 2.94401i 0.0795744 + 0.164575i
\(321\) −27.2143 + 8.59030i −1.51895 + 0.479464i
\(322\) −0.719264 + 0.373241i −0.0400830 + 0.0207999i
\(323\) −30.1578 + 20.1508i −1.67802 + 1.12122i
\(324\) 3.14871 17.7225i 0.174928 0.984581i
\(325\) −15.1256 + 3.00866i −0.839015 + 0.166890i
\(326\) 9.01577 16.3832i 0.499337 0.907381i
\(327\) 6.16755 + 7.34538i 0.341066 + 0.406200i
\(328\) 0.0385678 9.91774i 0.00212955 0.547616i
\(329\) −41.8624 + 5.51129i −2.30795 + 0.303847i
\(330\) 0.286932 0.428520i 0.0157951 0.0235893i
\(331\) −8.37402 16.9808i −0.460278 0.933351i −0.996034 0.0889783i \(-0.971640\pi\)
0.535756 0.844373i \(-0.320027\pi\)
\(332\) −15.7123 + 3.80162i −0.862323 + 0.208641i
\(333\) 2.09325 0.922665i 0.114709 0.0505617i
\(334\) 3.40222 19.1498i 0.186161 1.04783i
\(335\) −0.546308 2.03885i −0.0298480 0.111394i
\(336\) −28.7025 14.3284i −1.56585 0.781679i
\(337\) 2.43041 9.07041i 0.132393 0.494097i −0.867602 0.497259i \(-0.834340\pi\)
0.999995 + 0.00316228i \(0.00100659\pi\)
\(338\) 3.60896 + 1.68859i 0.196302 + 0.0918470i
\(339\) 8.85675 6.49844i 0.481033 0.352947i
\(340\) −4.89380 3.94859i −0.265404 0.214143i
\(341\) −1.12340 0.750630i −0.0608354 0.0406489i
\(342\) 9.61140 + 17.5463i 0.519725 + 0.948796i
\(343\) 31.8290 + 13.1840i 1.71861 + 0.711870i
\(344\) −6.21037 + 2.08124i −0.334841 + 0.112213i
\(345\) 0.0152416 + 0.0862767i 0.000820583 + 0.00464498i
\(346\) −3.94683 + 16.0393i −0.212183 + 0.862278i
\(347\) −1.74805 + 1.53300i −0.0938404 + 0.0822958i −0.704981 0.709226i \(-0.749044\pi\)
0.611140 + 0.791522i \(0.290711\pi\)
\(348\) −5.72682 15.8461i −0.306990 0.849440i
\(349\) −15.6891 + 1.02832i −0.839816 + 0.0550445i −0.479239 0.877685i \(-0.659087\pi\)
−0.360578 + 0.932729i \(0.617420\pi\)
\(350\) 30.9062 6.80972i 1.65201 0.363995i
\(351\) −2.14832 + 16.4412i −0.114669 + 0.877568i
\(352\) −2.79191 0.833436i −0.148809 0.0444223i
\(353\) −24.3679 14.0688i −1.29697 0.748806i −0.317091 0.948395i \(-0.602706\pi\)
−0.979880 + 0.199589i \(0.936039\pi\)
\(354\) −8.59487 14.9203i −0.456812 0.793003i
\(355\) 0.781256 1.58423i 0.0414648 0.0840822i
\(356\) −0.811493 + 3.61602i −0.0430091 + 0.191649i
\(357\) 61.6735 + 1.32579i 3.26411 + 0.0701680i
\(358\) −8.81997 30.4066i −0.466150 1.60704i
\(359\) 7.61009 3.15220i 0.401645 0.166367i −0.172711 0.984973i \(-0.555253\pi\)
0.574356 + 0.818606i \(0.305253\pi\)
\(360\) −2.40659 + 2.49770i −0.126839 + 0.131640i
\(361\) −2.98990 1.23846i −0.157363 0.0651819i
\(362\) 20.7668 + 2.30158i 1.09148 + 0.120968i
\(363\) −4.42514 18.0588i −0.232260 0.947841i
\(364\) 27.0175 + 11.9717i 1.41610 + 0.627488i
\(365\) 0.485301 0.164737i 0.0254018 0.00862275i
\(366\) −1.06449 + 8.02526i −0.0556419 + 0.419487i
\(367\) −8.59191 + 2.30220i −0.448494 + 0.120174i −0.475995 0.879448i \(-0.657912\pi\)
0.0275006 + 0.999622i \(0.491245\pi\)
\(368\) 0.440241 0.226281i 0.0229491 0.0117957i
\(369\) 9.88271 3.60424i 0.514473 0.187629i
\(370\) −0.434000 0.0771062i −0.0225626 0.00400856i
\(371\) −25.6941 + 29.2985i −1.33397 + 1.52110i
\(372\) 6.54977 + 6.29859i 0.339590 + 0.326567i
\(373\) −0.558090 0.0365792i −0.0288968 0.00189400i 0.0509479 0.998701i \(-0.483776\pi\)
−0.0798447 + 0.996807i \(0.525442\pi\)
\(374\) 5.53862 0.845128i 0.286395 0.0437005i
\(375\) 0.604508 6.93536i 0.0312166 0.358140i
\(376\) 25.5842 3.26706i 1.31941 0.168486i
\(377\) 5.93959 + 14.3394i 0.305905 + 0.738519i
\(378\) 3.71538 33.8227i 0.191098 1.73965i
\(379\) −8.01949 + 1.59518i −0.411934 + 0.0819387i −0.396707 0.917945i \(-0.629847\pi\)
−0.0152268 + 0.999884i \(0.504847\pi\)
\(380\) 0.345945 3.83950i 0.0177466 0.196962i
\(381\) 3.36954 4.20114i 0.172627 0.215231i
\(382\) −22.5806 1.01522i −1.15532 0.0519430i
\(383\) −4.62028 8.00257i −0.236086 0.408912i 0.723502 0.690322i \(-0.242531\pi\)
−0.959588 + 0.281410i \(0.909198\pi\)
\(384\) 17.4985 + 8.82051i 0.892968 + 0.450120i
\(385\) 0.487436 0.844264i 0.0248420 0.0430277i
\(386\) −13.8277 + 21.6432i −0.703814 + 1.10161i
\(387\) −4.35188 5.41516i −0.221219 0.275268i
\(388\) 26.8380 12.4301i 1.36249 0.631045i
\(389\) 9.22458 27.1747i 0.467705 1.37781i −0.415828 0.909443i \(-0.636508\pi\)
0.883532 0.468370i \(-0.155159\pi\)
\(390\) 2.10896 2.40009i 0.106791 0.121533i
\(391\) −0.579437 + 0.755136i −0.0293034 + 0.0381889i
\(392\) −37.6733 15.7767i −1.90279 0.796845i
\(393\) −0.815037 + 0.380378i −0.0411132 + 0.0191876i
\(394\) 3.98856 + 4.98286i 0.200941 + 0.251033i
\(395\) 2.63489 3.94339i 0.132576 0.198413i
\(396\) −0.196119 3.08416i −0.00985534 0.154985i
\(397\) 14.7320 + 2.93038i 0.739379 + 0.147072i 0.550390 0.834907i \(-0.314479\pi\)
0.188989 + 0.981979i \(0.439479\pi\)
\(398\) −22.7611 + 27.0544i −1.14091 + 1.35611i
\(399\) 20.3303 + 31.8894i 1.01779 + 1.59647i
\(400\) −18.8949 + 4.08622i −0.944743 + 0.204311i
\(401\) 2.18072 8.13857i 0.108900 0.406421i −0.889858 0.456237i \(-0.849197\pi\)
0.998758 + 0.0498163i \(0.0158636\pi\)
\(402\) −10.0274 7.70983i −0.500122 0.384531i
\(403\) −6.29330 5.51908i −0.313492 0.274925i
\(404\) 24.5548 17.9066i 1.22165 0.890889i
\(405\) −3.36921 1.47729i −0.167417 0.0734072i
\(406\) −12.7900 29.1699i −0.634756 1.44768i
\(407\) 0.311589 0.239091i 0.0154449 0.0118513i
\(408\) −37.6694 0.956340i −1.86491 0.0473459i
\(409\) 26.7324 + 20.5125i 1.32183 + 1.01428i 0.997667 + 0.0682752i \(0.0217496\pi\)
0.324164 + 0.946001i \(0.394917\pi\)
\(410\) −1.96829 0.484343i −0.0972071 0.0239200i
\(411\) 10.1511 + 0.218217i 0.500717 + 0.0107638i
\(412\) 29.2627 9.14316i 1.44167 0.450451i
\(413\) −18.0834 27.0638i −0.889828 1.33172i
\(414\) 0.386852 + 0.354947i 0.0190127 + 0.0174447i
\(415\) 3.30394i 0.162184i
\(416\) −16.4749 7.37695i −0.807749 0.361685i
\(417\) 20.1276 21.9797i 0.985653 1.07635i
\(418\) 2.31727 + 2.53544i 0.113341 + 0.124013i
\(419\) 9.58618 19.4388i 0.468315 0.949650i −0.526712 0.850044i \(-0.676575\pi\)
0.995027 0.0996055i \(-0.0317581\pi\)
\(420\) −4.22586 + 5.01304i −0.206201 + 0.244611i
\(421\) −18.6872 6.34344i −0.910758 0.309161i −0.173549 0.984825i \(-0.555523\pi\)
−0.737209 + 0.675665i \(0.763857\pi\)
\(422\) 14.4974 + 13.9143i 0.705722 + 0.677338i
\(423\) 12.6475 + 24.2574i 0.614944 + 1.17943i
\(424\) 15.7645 17.8356i 0.765593 0.866174i
\(425\) 29.4916 22.6297i 1.43055 1.09770i
\(426\) −2.05494 10.3837i −0.0995621 0.503091i
\(427\) −1.00089 + 15.2706i −0.0484363 + 0.738995i
\(428\) 30.7430 11.8637i 1.48602 0.573451i
\(429\) 0.310832 + 2.82974i 0.0150071 + 0.136621i
\(430\) 0.114943 + 1.33371i 0.00554305 + 0.0643174i
\(431\) 15.2721 + 15.2721i 0.735633 + 0.735633i 0.971730 0.236097i \(-0.0758682\pi\)
−0.236097 + 0.971730i \(0.575868\pi\)
\(432\) −2.34984 + 20.6514i −0.113057 + 0.993589i
\(433\) 1.72221 1.72221i 0.0827643 0.0827643i −0.664513 0.747277i \(-0.731361\pi\)
0.747277 + 0.664513i \(0.231361\pi\)
\(434\) 13.1443 + 11.0584i 0.630945 + 0.530821i
\(435\) −3.42306 + 0.376005i −0.164123 + 0.0180281i
\(436\) −7.63780 8.02007i −0.365784 0.384092i
\(437\) −0.582286 0.0381650i −0.0278545 0.00182568i
\(438\) 1.70872 2.55189i 0.0816456 0.121934i
\(439\) −6.32898 8.24809i −0.302066 0.393660i 0.617516 0.786558i \(-0.288139\pi\)
−0.919582 + 0.392898i \(0.871472\pi\)
\(440\) −0.299750 + 0.514551i −0.0142900 + 0.0245302i
\(441\) 1.86167 43.2810i 0.0886509 2.06100i
\(442\) 34.7036 0.712230i 1.65068 0.0338773i
\(443\) −7.36395 + 21.6935i −0.349872 + 1.03069i 0.619480 + 0.785012i \(0.287343\pi\)
−0.969352 + 0.245676i \(0.920990\pi\)
\(444\) −2.34577 + 1.21437i −0.111325 + 0.0576315i
\(445\) 0.679315 + 0.335001i 0.0322026 + 0.0158806i
\(446\) 1.57809 35.1002i 0.0747249 1.66204i
\(447\) 8.90249 + 8.15234i 0.421073 + 0.385592i
\(448\) 34.1119 + 14.4415i 1.61164 + 0.682295i
\(449\) −12.0380 −0.568110 −0.284055 0.958808i \(-0.591680\pi\)
−0.284055 + 0.958808i \(0.591680\pi\)
\(450\) −11.0057 17.3003i −0.518815 0.815545i
\(451\) 1.50169 1.00340i 0.0707117 0.0472481i
\(452\) −9.73797 + 8.12820i −0.458036 + 0.382318i
\(453\) 0.0426498 1.98400i 0.00200386 0.0932166i
\(454\) 4.02704 + 6.65579i 0.188998 + 0.312372i
\(455\) 3.67672 4.79160i 0.172367 0.224634i
\(456\) −12.3428 19.5276i −0.578003 0.914462i
\(457\) −11.1635 14.5486i −0.522209 0.680555i 0.455569 0.890200i \(-0.349436\pi\)
−0.977778 + 0.209645i \(0.932769\pi\)
\(458\) 28.3206 + 11.0556i 1.32333 + 0.516592i
\(459\) −12.8837 37.8337i −0.601361 1.76593i
\(460\) −0.0237910 0.0983291i −0.00110926 0.00458462i
\(461\) 12.1419 13.8452i 0.565503 0.644833i −0.396447 0.918058i \(-0.629757\pi\)
0.961950 + 0.273225i \(0.0880903\pi\)
\(462\) −0.756883 5.79265i −0.0352134 0.269499i
\(463\) −20.7209 5.55214i −0.962980 0.258030i −0.257119 0.966380i \(-0.582773\pi\)
−0.705861 + 0.708350i \(0.749440\pi\)
\(464\) 7.74331 + 17.8485i 0.359474 + 0.828595i
\(465\) 1.56601 0.998371i 0.0726221 0.0462983i
\(466\) 3.35628 + 38.9438i 0.155477 + 1.80404i
\(467\) 3.79833 19.0955i 0.175766 0.883633i −0.787753 0.615991i \(-0.788756\pi\)
0.963518 0.267642i \(-0.0862444\pi\)
\(468\) 1.28940 19.1026i 0.0596023 0.883018i
\(469\) −19.8808 13.2839i −0.918010 0.613394i
\(470\) 0.580671 5.23930i 0.0267844 0.241671i
\(471\) 17.4660 + 37.4243i 0.804790 + 1.72442i
\(472\) 10.9818 + 16.5745i 0.505477 + 0.762905i
\(473\) −0.946268 0.726097i −0.0435094 0.0333860i
\(474\) −1.83118 28.3613i −0.0841089 1.30268i
\(475\) 21.5803 + 7.32553i 0.990173 + 0.336118i
\(476\) −71.1709 + 2.92255i −3.26211 + 0.133955i
\(477\) 23.5372 + 9.13560i 1.07769 + 0.418290i
\(478\) −26.2423 + 5.78210i −1.20029 + 0.264467i
\(479\) −25.0679 14.4729i −1.14538 0.661285i −0.197623 0.980278i \(-0.563322\pi\)
−0.947757 + 0.318993i \(0.896655\pi\)
\(480\) 2.59323 3.05212i 0.118364 0.139309i
\(481\) 2.10723 1.21661i 0.0960816 0.0554727i
\(482\) −30.1634 + 27.5678i −1.37390 + 1.25568i
\(483\) 0.774204 + 0.620953i 0.0352275 + 0.0282544i
\(484\) 6.40287 + 20.4924i 0.291040 + 0.931473i
\(485\) −1.17930 5.92876i −0.0535495 0.269211i
\(486\) −21.4120 + 5.24672i −0.971266 + 0.237996i
\(487\) −21.5101 + 8.90979i −0.974717 + 0.403741i −0.812466 0.583008i \(-0.801875\pi\)
−0.162251 + 0.986749i \(0.551875\pi\)
\(488\) 0.647653 9.32547i 0.0293179 0.422144i
\(489\) −22.8163 1.98874i −1.03179 0.0899340i
\(490\) −4.94474 + 6.72547i −0.223381 + 0.303826i
\(491\) 0.619749 9.45555i 0.0279689 0.426723i −0.960797 0.277252i \(-0.910576\pi\)
0.988766 0.149471i \(-0.0477570\pi\)
\(492\) −11.1292 + 4.86684i −0.501742 + 0.219414i
\(493\) −28.1278 24.6674i −1.26681 1.11097i
\(494\) 12.1832 + 17.4475i 0.548147 + 0.784999i
\(495\) −0.622091 0.109277i −0.0279609 0.00491164i
\(496\) −8.00275 6.78613i −0.359334 0.304706i
\(497\) −5.17881 19.3276i −0.232301 0.866960i
\(498\) 12.0374 + 15.7192i 0.539411 + 0.704392i
\(499\) 12.4220 + 36.5940i 0.556084 + 1.63817i 0.753200 + 0.657791i \(0.228509\pi\)
−0.197116 + 0.980380i \(0.563158\pi\)
\(500\) −0.196196 + 8.03623i −0.00877417 + 0.359391i
\(501\) −23.1364 + 5.66935i −1.03366 + 0.253288i
\(502\) 26.6327 + 33.2719i 1.18868 + 1.48500i
\(503\) 13.8893 33.5318i 0.619294 1.49511i −0.233232 0.972421i \(-0.574930\pi\)
0.852525 0.522686i \(-0.175070\pi\)
\(504\) −1.84108 + 39.2468i −0.0820081 + 1.74819i
\(505\) −2.37694 5.73844i −0.105772 0.255357i
\(506\) 0.0789711 + 0.0434583i 0.00351070 + 0.00193196i
\(507\) 0.104879 4.87882i 0.00465785 0.216676i
\(508\) −3.58004 + 5.08472i −0.158839 + 0.225598i
\(509\) −27.9369 13.7769i −1.23828 0.610652i −0.299147 0.954207i \(-0.596702\pi\)
−0.939133 + 0.343555i \(0.888369\pi\)
\(510\) −2.00050 + 7.43701i −0.0885836 + 0.329316i
\(511\) 2.90275 5.02770i 0.128410 0.222412i
\(512\) −20.8026 8.90243i −0.919352 0.393435i
\(513\) 14.8974 19.4537i 0.657736 0.858901i
\(514\) −12.6882 + 19.8596i −0.559651 + 0.875968i
\(515\) −0.409808 6.25246i −0.0180583 0.275516i
\(516\) 5.40606 + 5.92663i 0.237989 + 0.260905i
\(517\) 3.09682 + 3.53124i 0.136198 + 0.155304i
\(518\) −4.27215 + 2.58483i −0.187708 + 0.113571i
\(519\) 19.9216 3.51935i 0.874460 0.154482i
\(520\) −2.25726 + 2.91816i −0.0989876 + 0.127970i
\(521\) 3.27182 7.89887i 0.143341 0.346056i −0.835862 0.548940i \(-0.815032\pi\)
0.979203 + 0.202884i \(0.0650315\pi\)
\(522\) −14.9159 + 14.2603i −0.652853 + 0.624158i
\(523\) −12.8800 + 19.2763i −0.563205 + 0.842896i −0.998347 0.0574658i \(-0.981698\pi\)
0.435143 + 0.900362i \(0.356698\pi\)
\(524\) 0.911835 0.497179i 0.0398337 0.0217194i
\(525\) −22.9293 31.2505i −1.00072 1.36388i
\(526\) 3.98737 + 10.9996i 0.173858 + 0.479604i
\(527\) 19.4891 + 5.22208i 0.848957 + 0.227477i
\(528\) 0.448573 + 3.54017i 0.0195216 + 0.154066i
\(529\) 22.2015 5.94887i 0.965283 0.258647i
\(530\) −2.78532 3.98885i −0.120987 0.173264i
\(531\) −12.4589 + 17.0148i −0.540670 + 0.738381i
\(532\) −25.7307 35.2837i −1.11557 1.52974i
\(533\) 10.0353 4.94886i 0.434677 0.214359i
\(534\) 4.45250 0.881153i 0.192678 0.0381312i
\(535\) −0.879080 6.67727i −0.0380059 0.288684i
\(536\) 12.1124 + 8.16155i 0.523175 + 0.352525i
\(537\) −29.6956 + 24.9339i −1.28146 + 1.07598i
\(538\) −0.00362683 0.0125034i −0.000156364 0.000539060i
\(539\) −1.45103 7.29480i −0.0625001 0.314209i
\(540\) 3.98942 + 1.45937i 0.171677 + 0.0628013i
\(541\) −4.85790 7.27036i −0.208857 0.312577i 0.712220 0.701956i \(-0.247690\pi\)
−0.921078 + 0.389379i \(0.872690\pi\)
\(542\) −9.33120 2.95542i −0.400809 0.126946i
\(543\) −7.70286 24.4029i −0.330561 1.04723i
\(544\) 43.4808 1.61614i 1.86422 0.0692915i
\(545\) −1.96028 + 1.13177i −0.0839691 + 0.0484796i
\(546\) 0.0352215 36.1926i 0.00150734 1.54890i
\(547\) 29.2986 1.92033i 1.25272 0.0821074i 0.575445 0.817840i \(-0.304829\pi\)
0.677272 + 0.735733i \(0.263162\pi\)
\(548\) −11.7143 + 0.481034i −0.500411 + 0.0205488i
\(549\) 9.51708 2.78065i 0.406179 0.118675i
\(550\) −2.53982 2.43766i −0.108298 0.103942i
\(551\) 2.99376 22.7399i 0.127538 0.968751i
\(552\) −0.471438 0.381141i −0.0200657 0.0162224i
\(553\) −7.01240 53.2645i −0.298198 2.26504i
\(554\) −18.1885 13.3726i −0.772753 0.568148i
\(555\) 0.128487 + 0.524351i 0.00545398 + 0.0222574i
\(556\) −21.6098 + 26.7828i −0.916462 + 1.13584i
\(557\) 3.62769 18.2376i 0.153710 0.772753i −0.824618 0.565690i \(-0.808610\pi\)
0.978328 0.207062i \(-0.0663903\pi\)
\(558\) 3.81318 10.4555i 0.161425 0.442616i
\(559\) −5.22515 5.22515i −0.221000 0.221000i
\(560\) 4.50832 6.08219i 0.190511 0.257019i
\(561\) −3.68877 5.78609i −0.155740 0.244289i
\(562\) −4.48964 + 1.62751i −0.189384 + 0.0686523i
\(563\) 3.57992 + 10.5461i 0.150876 + 0.444465i 0.995921 0.0902295i \(-0.0287601\pi\)
−0.845045 + 0.534694i \(0.820427\pi\)
\(564\) −16.3260 27.0426i −0.687449 1.13870i
\(565\) 1.14662 + 2.32511i 0.0482385 + 0.0978179i
\(566\) −20.7675 8.10703i −0.872922 0.340764i
\(567\) −39.7283 + 12.5828i −1.66843 + 0.528426i
\(568\) 3.11750 + 11.8183i 0.130807 + 0.495885i
\(569\) −18.9615 2.49634i −0.794910 0.104652i −0.277876 0.960617i \(-0.589630\pi\)
−0.517034 + 0.855965i \(0.672964\pi\)
\(570\) −4.47236 + 1.51331i −0.187327 + 0.0633856i
\(571\) −2.42413 2.76419i −0.101447 0.115678i 0.698888 0.715231i \(-0.253678\pi\)
−0.800335 + 0.599553i \(0.795345\pi\)
\(572\) −0.562415 3.23869i −0.0235157 0.135416i
\(573\) 10.0418 + 25.7979i 0.419504 + 1.07772i
\(574\) −20.3809 + 10.5761i −0.850682 + 0.441437i
\(575\) 0.598061 0.0249409
\(576\) 1.21783 23.9691i 0.0507428 0.998712i
\(577\) 5.22259 0.217419 0.108710 0.994074i \(-0.465328\pi\)
0.108710 + 0.994074i \(0.465328\pi\)
\(578\) −52.9250 + 27.4639i −2.20139 + 1.14235i
\(579\) 31.0911 + 4.77509i 1.29210 + 0.198446i
\(580\) 3.91775 0.680337i 0.162676 0.0282495i
\(581\) 24.6770 + 28.1387i 1.02377 + 1.16739i
\(582\) −27.2114 23.9106i −1.12795 0.991127i
\(583\) 4.29769 + 0.565802i 0.177992 + 0.0234331i
\(584\) −1.78505 + 3.06422i −0.0738659 + 0.126798i
\(585\) −3.73274 1.17428i −0.154330 0.0485503i
\(586\) 40.0765 + 15.6447i 1.65555 + 0.646279i
\(587\) 4.37481 + 8.87124i 0.180568 + 0.366155i 0.968272 0.249898i \(-0.0803971\pi\)
−0.787704 + 0.616054i \(0.788730\pi\)
\(588\) 0.977743 + 50.0132i 0.0403214 + 2.06251i
\(589\) 3.97608 + 11.7131i 0.163831 + 0.482632i
\(590\) 3.82034 1.38488i 0.157281 0.0570147i
\(591\) 3.60727 6.93498i 0.148383 0.285267i
\(592\) 2.61573 1.56877i 0.107506 0.0644759i
\(593\) 17.4411 + 17.4411i 0.716221 + 0.716221i 0.967829 0.251609i \(-0.0809595\pi\)
−0.251609 + 0.967829i \(0.580960\pi\)
\(594\) −3.35785 + 1.74659i −0.137774 + 0.0716636i
\(595\) −2.84017 + 14.2785i −0.116435 + 0.585360i
\(596\) −10.8479 8.75270i −0.444347 0.358524i
\(597\) 41.5754 + 12.1036i 1.70157 + 0.495366i
\(598\) 0.449926 + 0.330797i 0.0183988 + 0.0135273i
\(599\) 0.622630 + 4.72934i 0.0254400 + 0.193236i 0.999446 0.0332871i \(-0.0105976\pi\)
−0.974006 + 0.226523i \(0.927264\pi\)
\(600\) 13.9319 + 19.1435i 0.568767 + 0.781529i
\(601\) −0.680166 + 5.16638i −0.0277446 + 0.210741i −0.999702 0.0244165i \(-0.992227\pi\)
0.971957 + 0.235157i \(0.0755605\pi\)
\(602\) 10.9404 + 10.5003i 0.445897 + 0.427962i
\(603\) −3.67238 + 15.0499i −0.149551 + 0.612879i
\(604\) 0.0940168 + 2.28953i 0.00382549 + 0.0931596i
\(605\) 4.37854 0.286984i 0.178013 0.0116676i
\(606\) −32.2160 18.6417i −1.30868 0.757268i
\(607\) −8.78331 + 5.07105i −0.356504 + 0.205827i −0.667546 0.744569i \(-0.732655\pi\)
0.311042 + 0.950396i \(0.399322\pi\)
\(608\) 15.6335 + 21.6137i 0.634021 + 0.876553i
\(609\) −26.3448 + 28.7690i −1.06755 + 1.16578i
\(610\) −1.82136 0.576871i −0.0737449 0.0233568i
\(611\) 16.1662 + 24.1944i 0.654014 + 0.978800i
\(612\) 17.5779 + 42.6715i 0.710545 + 1.72489i
\(613\) 8.04498 + 40.4448i 0.324934 + 1.63355i 0.705437 + 0.708772i \(0.250751\pi\)
−0.380504 + 0.924779i \(0.624249\pi\)
\(614\) 8.65217 + 29.8281i 0.349173 + 1.20377i
\(615\) 0.431884 + 2.44471i 0.0174152 + 0.0985804i
\(616\) 1.29027 + 6.62109i 0.0519865 + 0.266771i
\(617\) −2.77208 21.0561i −0.111600 0.847685i −0.952081 0.305845i \(-0.901061\pi\)
0.840482 0.541840i \(-0.182272\pi\)
\(618\) −24.7297 28.2542i −0.994773 1.13655i
\(619\) 5.08540 2.50784i 0.204399 0.100799i −0.337208 0.941430i \(-0.609483\pi\)
0.541608 + 0.840631i \(0.317816\pi\)
\(620\) −1.73270 + 1.26357i −0.0695868 + 0.0507463i
\(621\) 0.206099 0.609086i 0.00827046 0.0244418i
\(622\) 5.26454 + 7.53932i 0.211089 + 0.302299i
\(623\) 8.28762 2.22066i 0.332037 0.0889689i
\(624\) −0.107487 + 22.1077i −0.00430292 + 0.885017i
\(625\) −21.7542 5.82903i −0.870169 0.233161i
\(626\) 12.2844 + 33.8877i 0.490983 + 1.35442i
\(627\) 1.69304 3.85109i 0.0676134 0.153798i
\(628\) −22.8291 41.8691i −0.910982 1.67076i
\(629\) −3.25848 + 4.87666i −0.129924 + 0.194445i
\(630\) 7.70785 + 2.25207i 0.307088 + 0.0897246i
\(631\) −4.64663 + 11.2180i −0.184979 + 0.446580i −0.988980 0.148049i \(-0.952701\pi\)
0.804001 + 0.594628i \(0.202701\pi\)
\(632\) 4.15692 + 32.5526i 0.165353 + 1.29487i
\(633\) 8.40979 23.1290i 0.334259 0.919294i
\(634\) −6.20583 + 3.75479i −0.246465 + 0.149122i
\(635\) 0.838004 + 0.955561i 0.0332552 + 0.0379203i
\(636\) −27.7845 8.82979i −1.10173 0.350124i
\(637\) −3.01373 45.9806i −0.119408 1.82182i
\(638\) −1.90750 + 2.98563i −0.0755187 + 0.118202i
\(639\) −10.6147 + 7.44270i −0.419910 + 0.294429i
\(640\) −2.76830 + 3.70452i −0.109427 + 0.146434i
\(641\) 4.71235 8.16203i 0.186127 0.322381i −0.757829 0.652453i \(-0.773740\pi\)
0.943956 + 0.330073i \(0.107073\pi\)
\(642\) −28.5101 28.5656i −1.12520 1.12740i
\(643\) 1.33899 + 0.660317i 0.0528046 + 0.0260404i 0.468499 0.883464i \(-0.344795\pi\)
−0.415695 + 0.909504i \(0.636462\pi\)
\(644\) −0.937035 0.659746i −0.0369244 0.0259976i
\(645\) 1.43715 0.789053i 0.0565878 0.0310689i
\(646\) −44.9390 24.7302i −1.76810 0.972997i
\(647\) −11.1992 27.0373i −0.440287 1.06295i −0.975848 0.218450i \(-0.929900\pi\)
0.535562 0.844496i \(-0.320100\pi\)
\(648\) 24.2975 7.59166i 0.954494 0.298229i
\(649\) −1.38557 + 3.34506i −0.0543884 + 0.131305i
\(650\) −13.6292 17.0268i −0.534583 0.667848i
\(651\) 5.88047 20.1993i 0.230474 0.791672i
\(652\) 26.4380 + 0.645457i 1.03539 + 0.0252781i
\(653\) 3.24589 + 9.56208i 0.127021 + 0.374193i 0.991773 0.128006i \(-0.0408577\pi\)
−0.864752 + 0.502199i \(0.832524\pi\)
\(654\) −5.20297 + 12.5266i −0.203452 + 0.489828i
\(655\) −0.0549379 0.205031i −0.00214660 0.00801123i
\(656\) 12.4745 6.41185i 0.487049 0.250341i
\(657\) −3.70463 0.650759i −0.144532 0.0253885i
\(658\) −34.1867 48.9586i −1.33274 1.90860i
\(659\) −15.3713 13.4803i −0.598783 0.525118i 0.305422 0.952217i \(-0.401202\pi\)
−0.904205 + 0.427099i \(0.859536\pi\)
\(660\) 0.724810 + 0.0810447i 0.0282132 + 0.00315466i
\(661\) −2.39509 + 36.5420i −0.0931582 + 1.42132i 0.653910 + 0.756572i \(0.273127\pi\)
−0.747068 + 0.664747i \(0.768539\pi\)
\(662\) 15.8608 21.5727i 0.616447 0.838447i
\(663\) −17.9788 38.5232i −0.698239 1.49612i
\(664\) −15.0068 17.2468i −0.582377 0.669306i
\(665\) −8.24577 + 3.41551i −0.319757 + 0.132448i
\(666\) 2.52170 + 2.02657i 0.0977139 + 0.0785282i
\(667\) −0.117425 0.590335i −0.00454671 0.0228579i
\(668\) 26.2542 8.20316i 1.01581 0.317390i
\(669\) −40.1013 + 15.6094i −1.55040 + 0.603496i
\(670\) 2.20345 2.01384i 0.0851265 0.0778013i
\(671\) 1.47422 0.851143i 0.0569118 0.0328580i
\(672\) −0.710366 45.3626i −0.0274030 1.74990i
\(673\) 32.3274 + 18.6642i 1.24613 + 0.719454i 0.970335 0.241763i \(-0.0777256\pi\)
0.275795 + 0.961216i \(0.411059\pi\)
\(674\) 12.9689 2.85751i 0.499544 0.110067i
\(675\) −13.9315 + 20.8938i −0.536225 + 0.804204i
\(676\) 0.231195 + 5.63014i 0.00889211 + 0.216544i
\(677\) 47.3267 + 16.0653i 1.81891 + 0.617438i 0.998988 + 0.0449668i \(0.0143182\pi\)
0.819925 + 0.572471i \(0.194015\pi\)
\(678\) 13.9264 + 6.88461i 0.534841 + 0.264402i
\(679\) −54.3254 41.6853i −2.08482 1.59974i
\(680\) 1.76880 8.71509i 0.0678303 0.334208i
\(681\) 5.46228 7.80631i 0.209315 0.299138i
\(682\) 0.210478 1.89911i 0.00805964 0.0727209i
\(683\) 17.6715 + 11.8077i 0.676181 + 0.451810i 0.845659 0.533724i \(-0.179208\pi\)
−0.169477 + 0.985534i \(0.554208\pi\)
\(684\) −15.7646 + 23.4943i −0.602775 + 0.898327i
\(685\) −0.467475 + 2.35015i −0.0178613 + 0.0897948i
\(686\) 4.18346 + 48.5418i 0.159725 + 1.85333i
\(687\) −1.63617 37.1987i −0.0624239 1.41922i
\(688\) −6.65786 6.44000i −0.253828 0.245523i
\(689\) 25.9404 + 6.95071i 0.988251 + 0.264801i
\(690\) −0.0983722 + 0.0753316i −0.00374496 + 0.00286783i
\(691\) −3.06166 + 3.49115i −0.116471 + 0.132810i −0.807137 0.590364i \(-0.798984\pi\)
0.690666 + 0.723174i \(0.257317\pi\)
\(692\) −22.7045 + 5.49342i −0.863096 + 0.208828i
\(693\) −6.11435 + 3.71568i −0.232265 + 0.141147i
\(694\) −3.06298 1.19570i −0.116269 0.0453882i
\(695\) 4.28172 + 5.58004i 0.162415 + 0.211663i
\(696\) 16.1607 17.5106i 0.612571 0.663737i
\(697\) −16.4188 + 21.3974i −0.621905 + 0.810483i
\(698\) −11.5104 19.0242i −0.435676 0.720075i
\(699\) 41.9642 23.0400i 1.58723 0.871452i
\(700\) 28.6799 + 34.3598i 1.08400 + 1.29868i
\(701\) −6.63190 + 4.43130i −0.250484 + 0.167368i −0.674473 0.738299i \(-0.735629\pi\)
0.423990 + 0.905667i \(0.360629\pi\)
\(702\) −22.0375 + 8.01284i −0.831753 + 0.302425i
\(703\) −3.59571 −0.135615
\(704\) −0.772418 4.04748i −0.0291116 0.152545i
\(705\) −6.15666 + 1.94338i −0.231873 + 0.0731918i
\(706\) 1.78726 39.7524i 0.0672643 1.49610i
\(707\) −63.1038 31.1194i −2.37326 1.17036i
\(708\) 13.1304 20.5077i 0.493470 0.770727i
\(709\) 3.52616 10.3877i 0.132428 0.390119i −0.860408 0.509605i \(-0.829791\pi\)
0.992836 + 0.119486i \(0.0381247\pi\)
\(710\) 2.49753 0.0512574i 0.0937307 0.00192366i
\(711\) −30.8644 + 16.0923i −1.15750 + 0.603510i
\(712\) −5.06767 + 1.33678i −0.189919 + 0.0500979i
\(713\) 0.197610 + 0.257530i 0.00740054 + 0.00964458i
\(714\) 38.5089 + 78.2804i 1.44116 + 2.92957i
\(715\) −0.670393 0.0439399i −0.0250713 0.00164326i
\(716\) 32.4232 30.8778i 1.21171 1.15396i
\(717\) 19.4692 + 26.5346i 0.727090 + 0.990954i
\(718\) 8.91396 + 7.49941i 0.332666 + 0.279875i
\(719\) 16.7256 16.7256i 0.623760 0.623760i −0.322731 0.946491i \(-0.604601\pi\)
0.946491 + 0.322731i \(0.104601\pi\)
\(720\) −4.70290 1.39396i −0.175267 0.0519498i
\(721\) −50.1895 50.1895i −1.86915 1.86915i
\(722\) −0.392978 4.55983i −0.0146251 0.169699i
\(723\) 45.8152 + 20.1415i 1.70389 + 0.749071i
\(724\) 10.6381 + 27.5671i 0.395360 + 1.02452i
\(725\) −1.53743 + 23.4567i −0.0570988 + 0.871160i
\(726\) 19.7862 17.3180i 0.734333 0.642730i
\(727\) 40.4270 31.0207i 1.49936 1.15050i 0.550479 0.834849i \(-0.314445\pi\)
0.948877 0.315646i \(-0.102221\pi\)
\(728\) 2.57111 + 41.7125i 0.0952918 + 1.54597i
\(729\) 16.4781 + 21.3886i 0.610298 + 0.792172i
\(730\) 0.522907 + 0.501875i 0.0193537 + 0.0185752i
\(731\) 16.8665 + 5.72541i 0.623831 + 0.211762i
\(732\) −10.7672 + 3.89131i −0.397969 + 0.143827i
\(733\) 11.2554 22.8237i 0.415727 0.843011i −0.583789 0.811905i \(-0.698431\pi\)
0.999516 0.0311056i \(-0.00990280\pi\)
\(734\) −8.48651 9.28554i −0.313243 0.342735i
\(735\) 9.98206 + 2.20959i 0.368194 + 0.0815018i
\(736\) 0.570810 + 0.405224i 0.0210403 + 0.0149367i
\(737\) 2.65971i 0.0979716i
\(738\) 10.9617 + 10.0577i 0.403507 + 0.370229i
\(739\) −16.6521 24.9216i −0.612556 0.916755i 0.387430 0.921899i \(-0.373363\pi\)
−0.999987 + 0.00514355i \(0.998363\pi\)
\(740\) −0.185912 0.595013i −0.00683427 0.0218731i
\(741\) 13.5134 22.2857i 0.496429 0.818686i
\(742\) −53.5142 13.1684i −1.96457 0.483427i
\(743\) 8.84337 + 6.78576i 0.324432 + 0.248945i 0.758116 0.652120i \(-0.226120\pi\)
−0.433684 + 0.901065i \(0.642787\pi\)
\(744\) −3.64000 + 12.3245i −0.133449 + 0.451839i
\(745\) −2.26010 + 1.73424i −0.0828037 + 0.0635375i
\(746\) −0.317615 0.724380i −0.0116287 0.0265214i
\(747\) 11.6495 21.2668i 0.426233 0.778112i
\(748\) 4.66864 + 6.40195i 0.170702 + 0.234079i
\(749\) −57.3591 50.3025i −2.09585 1.83802i
\(750\) 9.09950 3.75877i 0.332267 0.137251i
\(751\) −1.53790 + 5.73951i −0.0561186 + 0.209438i −0.988292 0.152575i \(-0.951244\pi\)
0.932173 + 0.362012i \(0.117910\pi\)
\(752\) 20.7662 + 29.9870i 0.757266 + 1.09351i
\(753\) 24.0867 46.3067i 0.877769 1.68751i
\(754\) −14.1309 + 16.7963i −0.514617 + 0.611684i
\(755\) 0.459331 + 0.0913666i 0.0167168 + 0.00332517i
\(756\) 44.8767 17.3678i 1.63215 0.631660i
\(757\) −14.0523 + 21.0308i −0.510740 + 0.764377i −0.993797 0.111213i \(-0.964527\pi\)
0.483057 + 0.875589i \(0.339527\pi\)
\(758\) −7.22614 9.02754i −0.262465 0.327895i
\(759\) 0.00958624 0.109980i 0.000347959 0.00399204i
\(760\) 5.04494 2.06674i 0.182999 0.0749684i
\(761\) −18.3493 + 23.9132i −0.665160 + 0.866853i −0.997073 0.0764566i \(-0.975639\pi\)
0.331913 + 0.943310i \(0.392306\pi\)
\(762\) 7.46842 + 1.49312i 0.270552 + 0.0540899i
\(763\) −8.24199 + 24.2801i −0.298380 + 0.879000i
\(764\) −13.4343 29.0060i −0.486035 1.04940i
\(765\) 9.32150 1.44088i 0.337020 0.0520952i
\(766\) 7.03579 11.0124i 0.254213 0.397896i
\(767\) −11.2157 + 19.4261i −0.404974 + 0.701436i
\(768\) 0.326164 + 27.7109i 0.0117694 + 0.999931i
\(769\) −17.3370 30.0286i −0.625189 1.08286i −0.988504 0.151192i \(-0.951689\pi\)
0.363316 0.931666i \(-0.381645\pi\)
\(770\) 1.37729 + 0.0619224i 0.0496339 + 0.00223153i
\(771\) 28.5288 + 4.38156i 1.02744 + 0.157798i
\(772\) −36.1753 3.25945i −1.30198 0.117310i