Properties

Label 390.2.bd.b.223.1
Level $390$
Weight $2$
Character 390.223
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 223.1
Root \(0.792206 + 1.03242i\) of defining polynomial
Character \(\chi\) \(=\) 390.223
Dual form 390.2.bd.b.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.54620 - 1.61532i) q^{5} +(0.258819 + 0.965926i) q^{6} +(0.954985 - 1.65408i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.54620 - 1.61532i) q^{5} +(0.258819 + 0.965926i) q^{6} +(0.954985 - 1.65408i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +(-2.14671 - 0.625808i) q^{10} +(0.562653 - 2.09985i) q^{11} +(0.707107 + 0.707107i) q^{12} +(2.33147 - 2.75032i) q^{13} -1.90997i q^{14} +(1.96047 - 1.07544i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.597215 + 0.160023i) q^{17} -1.00000 q^{18} +(3.46041 - 0.927215i) q^{19} +(-2.17201 + 0.531389i) q^{20} +(1.35055 + 1.35055i) q^{21} +(-0.562653 - 2.09985i) q^{22} +(-0.653459 - 0.175094i) q^{23} +(0.965926 + 0.258819i) q^{24} +(-0.218523 + 4.99522i) q^{25} +(0.643951 - 3.54758i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-0.954985 - 1.65408i) q^{28} +(-2.93087 + 1.69214i) q^{29} +(1.16009 - 1.91159i) q^{30} +(0.691834 - 0.691834i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(1.88267 + 1.08696i) q^{33} +(-0.437192 + 0.437192i) q^{34} +(-4.14847 + 1.01494i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(1.42784 + 2.47309i) q^{37} +(2.53320 - 2.53320i) q^{38} +(2.05318 + 2.96386i) q^{39} +(-1.61532 + 1.54620i) q^{40} +(7.83418 + 2.09916i) q^{41} +(1.84489 + 0.494337i) q^{42} +(-0.901681 - 3.36512i) q^{43} +(-1.53720 - 1.53720i) q^{44} +(0.531389 + 2.17201i) q^{45} +(-0.653459 + 0.175094i) q^{46} -10.8506 q^{47} +(0.965926 - 0.258819i) q^{48} +(1.67601 + 2.90293i) q^{49} +(2.30836 + 4.43525i) q^{50} -0.618283i q^{51} +(-1.21611 - 3.39427i) q^{52} +(-1.54550 - 1.54550i) q^{53} +(0.258819 - 0.965926i) q^{54} +(-4.26190 + 2.33792i) q^{55} +(-1.65408 - 0.954985i) q^{56} +3.58249i q^{57} +(-1.69214 + 2.93087i) q^{58} +(3.75207 + 14.0029i) q^{59} +(0.0488750 - 2.23553i) q^{60} +(-2.85745 + 4.94925i) q^{61} +(0.253229 - 0.945063i) q^{62} +(-1.65408 + 0.954985i) q^{63} -1.00000 q^{64} +(-8.04757 + 0.486477i) q^{65} +2.17392 q^{66} +(5.07155 - 2.92806i) q^{67} +(-0.160023 + 0.597215i) q^{68} +(0.338255 - 0.585876i) q^{69} +(-3.08522 + 2.95320i) q^{70} +(-1.78054 - 6.64505i) q^{71} +(-0.500000 + 0.866025i) q^{72} +2.15267i q^{73} +(2.47309 + 1.42784i) q^{74} +(-4.76846 - 1.50394i) q^{75} +(0.927215 - 3.46041i) q^{76} +(-2.93600 - 2.93600i) q^{77} +(3.26003 + 1.54019i) q^{78} +5.11418i q^{79} +(-0.625808 + 2.14671i) q^{80} +(0.500000 + 0.866025i) q^{81} +(7.83418 - 2.09916i) q^{82} -3.84261 q^{83} +(1.84489 - 0.494337i) q^{84} +(1.18190 + 0.717266i) q^{85} +(-2.46344 - 2.46344i) q^{86} +(-0.875916 - 3.26896i) q^{87} +(-2.09985 - 0.562653i) q^{88} +(0.804636 + 0.215602i) q^{89} +(1.54620 + 1.61532i) q^{90} +(-2.32274 - 6.48296i) q^{91} +(-0.478365 + 0.478365i) q^{92} +(0.489200 + 0.847320i) q^{93} +(-9.39693 + 5.42532i) q^{94} +(-6.84825 - 4.15602i) q^{95} +(0.707107 - 0.707107i) q^{96} +(15.8707 + 9.16293i) q^{97} +(2.90293 + 1.67601i) q^{98} +(-1.53720 + 1.53720i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) −0.258819 + 0.965926i −0.149429 + 0.557678i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −1.54620 1.61532i −0.691482 0.722393i
\(6\) 0.258819 + 0.965926i 0.105662 + 0.394338i
\(7\) 0.954985 1.65408i 0.360951 0.625185i −0.627167 0.778885i \(-0.715786\pi\)
0.988118 + 0.153700i \(0.0491190\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.866025 0.500000i −0.288675 0.166667i
\(10\) −2.14671 0.625808i −0.678849 0.197898i
\(11\) 0.562653 2.09985i 0.169646 0.633128i −0.827756 0.561089i \(-0.810383\pi\)
0.997402 0.0720394i \(-0.0229507\pi\)
\(12\) 0.707107 + 0.707107i 0.204124 + 0.204124i
\(13\) 2.33147 2.75032i 0.646633 0.762801i
\(14\) 1.90997i 0.510461i
\(15\) 1.96047 1.07544i 0.506190 0.277677i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.597215 + 0.160023i −0.144846 + 0.0388114i −0.330514 0.943801i \(-0.607222\pi\)
0.185668 + 0.982613i \(0.440555\pi\)
\(18\) −1.00000 −0.235702
\(19\) 3.46041 0.927215i 0.793874 0.212718i 0.160981 0.986957i \(-0.448534\pi\)
0.632892 + 0.774240i \(0.281868\pi\)
\(20\) −2.17201 + 0.531389i −0.485676 + 0.118822i
\(21\) 1.35055 + 1.35055i 0.294715 + 0.294715i
\(22\) −0.562653 2.09985i −0.119958 0.447689i
\(23\) −0.653459 0.175094i −0.136256 0.0365096i 0.190047 0.981775i \(-0.439136\pi\)
−0.326302 + 0.945265i \(0.605803\pi\)
\(24\) 0.965926 + 0.258819i 0.197169 + 0.0528312i
\(25\) −0.218523 + 4.99522i −0.0437047 + 0.999044i
\(26\) 0.643951 3.54758i 0.126289 0.695738i
\(27\) 0.707107 0.707107i 0.136083 0.136083i
\(28\) −0.954985 1.65408i −0.180475 0.312592i
\(29\) −2.93087 + 1.69214i −0.544249 + 0.314222i −0.746799 0.665050i \(-0.768410\pi\)
0.202550 + 0.979272i \(0.435077\pi\)
\(30\) 1.16009 1.91159i 0.211803 0.349007i
\(31\) 0.691834 0.691834i 0.124257 0.124257i −0.642244 0.766501i \(-0.721996\pi\)
0.766501 + 0.642244i \(0.221996\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) 1.88267 + 1.08696i 0.327731 + 0.189216i
\(34\) −0.437192 + 0.437192i −0.0749778 + 0.0749778i
\(35\) −4.14847 + 1.01494i −0.701220 + 0.171556i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) 1.42784 + 2.47309i 0.234735 + 0.406573i 0.959196 0.282743i \(-0.0912443\pi\)
−0.724460 + 0.689316i \(0.757911\pi\)
\(38\) 2.53320 2.53320i 0.410939 0.410939i
\(39\) 2.05318 + 2.96386i 0.328771 + 0.474598i
\(40\) −1.61532 + 1.54620i −0.255405 + 0.244476i
\(41\) 7.83418 + 2.09916i 1.22349 + 0.327834i 0.812043 0.583598i \(-0.198356\pi\)
0.411450 + 0.911432i \(0.365022\pi\)
\(42\) 1.84489 + 0.494337i 0.284673 + 0.0762778i
\(43\) −0.901681 3.36512i −0.137505 0.513176i −0.999975 0.00706771i \(-0.997750\pi\)
0.862470 0.506108i \(-0.168916\pi\)
\(44\) −1.53720 1.53720i −0.231741 0.231741i
\(45\) 0.531389 + 2.17201i 0.0792148 + 0.323784i
\(46\) −0.653459 + 0.175094i −0.0963473 + 0.0258162i
\(47\) −10.8506 −1.58273 −0.791365 0.611344i \(-0.790629\pi\)
−0.791365 + 0.611344i \(0.790629\pi\)
\(48\) 0.965926 0.258819i 0.139419 0.0373573i
\(49\) 1.67601 + 2.90293i 0.239429 + 0.414704i
\(50\) 2.30836 + 4.43525i 0.326452 + 0.627239i
\(51\) 0.618283i 0.0865769i
\(52\) −1.21611 3.39427i −0.168644 0.470701i
\(53\) −1.54550 1.54550i −0.212290 0.212290i 0.592949 0.805240i \(-0.297963\pi\)
−0.805240 + 0.592949i \(0.797963\pi\)
\(54\) 0.258819 0.965926i 0.0352208 0.131446i
\(55\) −4.26190 + 2.33792i −0.574675 + 0.315246i
\(56\) −1.65408 0.954985i −0.221036 0.127615i
\(57\) 3.58249i 0.474512i
\(58\) −1.69214 + 2.93087i −0.222189 + 0.384842i
\(59\) 3.75207 + 14.0029i 0.488478 + 1.82302i 0.563861 + 0.825870i \(0.309315\pi\)
−0.0753830 + 0.997155i \(0.524018\pi\)
\(60\) 0.0488750 2.23553i 0.00630973 0.288606i
\(61\) −2.85745 + 4.94925i −0.365859 + 0.633687i −0.988914 0.148492i \(-0.952558\pi\)
0.623055 + 0.782178i \(0.285891\pi\)
\(62\) 0.253229 0.945063i 0.0321601 0.120023i
\(63\) −1.65408 + 0.954985i −0.208395 + 0.120317i
\(64\) −1.00000 −0.125000
\(65\) −8.04757 + 0.486477i −0.998178 + 0.0603401i
\(66\) 2.17392 0.267591
\(67\) 5.07155 2.92806i 0.619588 0.357719i −0.157120 0.987579i \(-0.550221\pi\)
0.776709 + 0.629860i \(0.216888\pi\)
\(68\) −0.160023 + 0.597215i −0.0194057 + 0.0724230i
\(69\) 0.338255 0.585876i 0.0407212 0.0705311i
\(70\) −3.08522 + 2.95320i −0.368754 + 0.352975i
\(71\) −1.78054 6.64505i −0.211311 0.788622i −0.987433 0.158039i \(-0.949483\pi\)
0.776122 0.630583i \(-0.217184\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 2.15267i 0.251951i 0.992033 + 0.125976i \(0.0402061\pi\)
−0.992033 + 0.125976i \(0.959794\pi\)
\(74\) 2.47309 + 1.42784i 0.287491 + 0.165983i
\(75\) −4.76846 1.50394i −0.550614 0.173660i
\(76\) 0.927215 3.46041i 0.106359 0.396937i
\(77\) −2.93600 2.93600i −0.334588 0.334588i
\(78\) 3.26003 + 1.54019i 0.369126 + 0.174392i
\(79\) 5.11418i 0.575390i 0.957722 + 0.287695i \(0.0928890\pi\)
−0.957722 + 0.287695i \(0.907111\pi\)
\(80\) −0.625808 + 2.14671i −0.0699675 + 0.240009i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) 7.83418 2.09916i 0.865140 0.231814i
\(83\) −3.84261 −0.421781 −0.210891 0.977510i \(-0.567636\pi\)
−0.210891 + 0.977510i \(0.567636\pi\)
\(84\) 1.84489 0.494337i 0.201294 0.0539366i
\(85\) 1.18190 + 0.717266i 0.128196 + 0.0777984i
\(86\) −2.46344 2.46344i −0.265639 0.265639i
\(87\) −0.875916 3.26896i −0.0939080 0.350470i
\(88\) −2.09985 0.562653i −0.223845 0.0599790i
\(89\) 0.804636 + 0.215602i 0.0852912 + 0.0228537i 0.301212 0.953557i \(-0.402609\pi\)
−0.215921 + 0.976411i \(0.569275\pi\)
\(90\) 1.54620 + 1.61532i 0.162984 + 0.170270i
\(91\) −2.32274 6.48296i −0.243489 0.679599i
\(92\) −0.478365 + 0.478365i −0.0498730 + 0.0498730i
\(93\) 0.489200 + 0.847320i 0.0507277 + 0.0878630i
\(94\) −9.39693 + 5.42532i −0.969220 + 0.559579i
\(95\) −6.84825 4.15602i −0.702615 0.426399i
\(96\) 0.707107 0.707107i 0.0721688 0.0721688i
\(97\) 15.8707 + 9.16293i 1.61142 + 0.930354i 0.989041 + 0.147639i \(0.0471674\pi\)
0.622380 + 0.782715i \(0.286166\pi\)
\(98\) 2.90293 + 1.67601i 0.293240 + 0.169302i
\(99\) −1.53720 + 1.53720i −0.154494 + 0.154494i
\(100\) 4.21673 + 2.68686i 0.421673 + 0.268686i
\(101\) 14.6508 8.45864i 1.45781 0.841666i 0.458906 0.888485i \(-0.348242\pi\)
0.998903 + 0.0468187i \(0.0149083\pi\)
\(102\) −0.309141 0.535449i −0.0306096 0.0530173i
\(103\) −3.60087 + 3.60087i −0.354804 + 0.354804i −0.861893 0.507090i \(-0.830721\pi\)
0.507090 + 0.861893i \(0.330721\pi\)
\(104\) −2.75032 2.33147i −0.269691 0.228619i
\(105\) 0.0933498 4.26980i 0.00911001 0.416690i
\(106\) −2.11119 0.565691i −0.205057 0.0549448i
\(107\) −9.21566 2.46933i −0.890911 0.238719i −0.215802 0.976437i \(-0.569237\pi\)
−0.675109 + 0.737718i \(0.735903\pi\)
\(108\) −0.258819 0.965926i −0.0249049 0.0929463i
\(109\) 9.88219 + 9.88219i 0.946542 + 0.946542i 0.998642 0.0520997i \(-0.0165914\pi\)
−0.0520997 + 0.998642i \(0.516591\pi\)
\(110\) −2.52196 + 4.15565i −0.240459 + 0.396226i
\(111\) −2.75837 + 0.739104i −0.261813 + 0.0701526i
\(112\) −1.90997 −0.180475
\(113\) −13.0170 + 3.48791i −1.22454 + 0.328115i −0.812451 0.583029i \(-0.801867\pi\)
−0.412089 + 0.911144i \(0.635201\pi\)
\(114\) 1.79124 + 3.10252i 0.167765 + 0.290578i
\(115\) 0.727547 + 1.32628i 0.0678441 + 0.123676i
\(116\) 3.38428i 0.314222i
\(117\) −3.39427 + 1.21611i −0.313800 + 0.112430i
\(118\) 10.2508 + 10.2508i 0.943667 + 0.943667i
\(119\) −0.305640 + 1.14066i −0.0280180 + 0.104564i
\(120\) −1.07544 1.96047i −0.0981738 0.178965i
\(121\) 5.43349 + 3.13703i 0.493954 + 0.285184i
\(122\) 5.71490i 0.517403i
\(123\) −4.05527 + 7.02393i −0.365651 + 0.633327i
\(124\) −0.253229 0.945063i −0.0227406 0.0848691i
\(125\) 8.40677 7.37063i 0.751924 0.659250i
\(126\) −0.954985 + 1.65408i −0.0850769 + 0.147357i
\(127\) 3.55123 13.2534i 0.315121 1.17605i −0.608756 0.793357i \(-0.708331\pi\)
0.923877 0.382690i \(-0.125002\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 3.48383 0.306734
\(130\) −6.72616 + 4.44509i −0.589923 + 0.389860i
\(131\) 16.6377 1.45364 0.726820 0.686828i \(-0.240997\pi\)
0.726820 + 0.686828i \(0.240997\pi\)
\(132\) 1.88267 1.08696i 0.163866 0.0946079i
\(133\) 1.77095 6.60929i 0.153561 0.573098i
\(134\) 2.92806 5.07155i 0.252946 0.438115i
\(135\) −2.23553 0.0488750i −0.192404 0.00420649i
\(136\) 0.160023 + 0.597215i 0.0137219 + 0.0512108i
\(137\) −4.12352 + 7.14214i −0.352296 + 0.610195i −0.986651 0.162847i \(-0.947932\pi\)
0.634355 + 0.773042i \(0.281266\pi\)
\(138\) 0.676511i 0.0575884i
\(139\) 12.7043 + 7.33484i 1.07757 + 0.622133i 0.930239 0.366954i \(-0.119599\pi\)
0.147328 + 0.989088i \(0.452933\pi\)
\(140\) −1.19528 + 4.10015i −0.101019 + 0.346526i
\(141\) 2.80835 10.4809i 0.236506 0.882653i
\(142\) −4.86451 4.86451i −0.408221 0.408221i
\(143\) −4.46345 6.44321i −0.373252 0.538808i
\(144\) 1.00000i 0.0833333i
\(145\) 7.26507 + 2.11791i 0.603331 + 0.175883i
\(146\) 1.07634 + 1.86427i 0.0890782 + 0.154288i
\(147\) −3.23780 + 0.867565i −0.267049 + 0.0715555i
\(148\) 2.85568 0.234735
\(149\) 12.3571 3.31108i 1.01233 0.271254i 0.285730 0.958310i \(-0.407764\pi\)
0.726605 + 0.687056i \(0.241097\pi\)
\(150\) −4.88157 + 1.08178i −0.398579 + 0.0883271i
\(151\) −14.5027 14.5027i −1.18021 1.18021i −0.979690 0.200521i \(-0.935737\pi\)
−0.200521 0.979690i \(-0.564263\pi\)
\(152\) −0.927215 3.46041i −0.0752071 0.280677i
\(153\) 0.597215 + 0.160023i 0.0482820 + 0.0129371i
\(154\) −4.01065 1.07465i −0.323187 0.0865978i
\(155\) −2.18725 0.0478193i −0.175684 0.00384094i
\(156\) 3.59337 0.296172i 0.287700 0.0237128i
\(157\) 6.10791 6.10791i 0.487464 0.487464i −0.420041 0.907505i \(-0.637984\pi\)
0.907505 + 0.420041i \(0.137984\pi\)
\(158\) 2.55709 + 4.42901i 0.203431 + 0.352353i
\(159\) 1.89284 1.09283i 0.150112 0.0866672i
\(160\) 0.531389 + 2.17201i 0.0420100 + 0.171712i
\(161\) −0.913664 + 0.913664i −0.0720068 + 0.0720068i
\(162\) 0.866025 + 0.500000i 0.0680414 + 0.0392837i
\(163\) −9.09558 5.25134i −0.712421 0.411316i 0.0995359 0.995034i \(-0.468264\pi\)
−0.811957 + 0.583718i \(0.801598\pi\)
\(164\) 5.73502 5.73502i 0.447830 0.447830i
\(165\) −1.15520 4.72178i −0.0899321 0.367590i
\(166\) −3.32780 + 1.92131i −0.258287 + 0.149122i
\(167\) 3.47597 + 6.02056i 0.268979 + 0.465885i 0.968598 0.248630i \(-0.0799805\pi\)
−0.699620 + 0.714516i \(0.746647\pi\)
\(168\) 1.35055 1.35055i 0.104197 0.104197i
\(169\) −2.12851 12.8246i −0.163732 0.986505i
\(170\) 1.38219 + 0.0302186i 0.106009 + 0.00231766i
\(171\) −3.46041 0.927215i −0.264625 0.0709059i
\(172\) −3.36512 0.901681i −0.256588 0.0687526i
\(173\) −3.41066 12.7288i −0.259308 0.967750i −0.965643 0.259872i \(-0.916320\pi\)
0.706335 0.707877i \(-0.250347\pi\)
\(174\) −2.39305 2.39305i −0.181416 0.181416i
\(175\) 8.05383 + 5.13182i 0.608812 + 0.387929i
\(176\) −2.09985 + 0.562653i −0.158282 + 0.0424115i
\(177\) −14.4969 −1.08965
\(178\) 0.804636 0.215602i 0.0603100 0.0161600i
\(179\) −8.17918 14.1668i −0.611341 1.05887i −0.991015 0.133753i \(-0.957297\pi\)
0.379674 0.925120i \(-0.376036\pi\)
\(180\) 2.14671 + 0.625808i 0.160006 + 0.0466450i
\(181\) 10.7578i 0.799622i 0.916598 + 0.399811i \(0.130924\pi\)
−0.916598 + 0.399811i \(0.869076\pi\)
\(182\) −5.25303 4.45304i −0.389380 0.330081i
\(183\) −4.04105 4.04105i −0.298723 0.298723i
\(184\) −0.175094 + 0.653459i −0.0129081 + 0.0481737i
\(185\) 1.78711 6.13031i 0.131391 0.450710i
\(186\) 0.847320 + 0.489200i 0.0621285 + 0.0358699i
\(187\) 1.34410i 0.0982903i
\(188\) −5.42532 + 9.39693i −0.395682 + 0.685342i
\(189\) −0.494337 1.84489i −0.0359577 0.134196i
\(190\) −8.00877 0.175094i −0.581017 0.0127026i
\(191\) −12.2705 + 21.2531i −0.887859 + 1.53782i −0.0454580 + 0.998966i \(0.514475\pi\)
−0.842401 + 0.538851i \(0.818859\pi\)
\(192\) 0.258819 0.965926i 0.0186787 0.0697097i
\(193\) −16.3849 + 9.45984i −1.17941 + 0.680934i −0.955879 0.293762i \(-0.905093\pi\)
−0.223534 + 0.974696i \(0.571759\pi\)
\(194\) 18.3259 1.31572
\(195\) 1.61296 7.89926i 0.115507 0.565678i
\(196\) 3.35201 0.239429
\(197\) 18.6844 10.7874i 1.33121 0.768573i 0.345723 0.938337i \(-0.387634\pi\)
0.985485 + 0.169763i \(0.0543003\pi\)
\(198\) −0.562653 + 2.09985i −0.0399860 + 0.149230i
\(199\) −11.5656 + 20.0322i −0.819863 + 1.42004i 0.0859199 + 0.996302i \(0.472617\pi\)
−0.905783 + 0.423742i \(0.860716\pi\)
\(200\) 4.99522 + 0.218523i 0.353216 + 0.0154519i
\(201\) 1.51568 + 5.65658i 0.106907 + 0.398984i
\(202\) 8.45864 14.6508i 0.595148 1.03083i
\(203\) 6.46387i 0.453675i
\(204\) −0.535449 0.309141i −0.0374889 0.0216442i
\(205\) −8.72240 15.9004i −0.609199 1.11053i
\(206\) −1.31801 + 4.91887i −0.0918300 + 0.342714i
\(207\) 0.478365 + 0.478365i 0.0332487 + 0.0332487i
\(208\) −3.54758 0.643951i −0.245980 0.0446500i
\(209\) 7.78805i 0.538711i
\(210\) −2.05406 3.74443i −0.141744 0.258390i
\(211\) −12.8509 22.2584i −0.884692 1.53233i −0.846067 0.533077i \(-0.821036\pi\)
−0.0386248 0.999254i \(-0.512298\pi\)
\(212\) −2.11119 + 0.565691i −0.144997 + 0.0388518i
\(213\) 6.87946 0.471373
\(214\) −9.21566 + 2.46933i −0.629969 + 0.168800i
\(215\) −4.04157 + 6.65966i −0.275633 + 0.454185i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −0.483659 1.80504i −0.0328329 0.122534i
\(218\) 13.4993 + 3.61713i 0.914290 + 0.244983i
\(219\) −2.07932 0.557152i −0.140507 0.0376489i
\(220\) −0.106250 + 4.85988i −0.00716341 + 0.327653i
\(221\) −0.952273 + 2.01562i −0.0640568 + 0.135585i
\(222\) −2.01927 + 2.01927i −0.135524 + 0.135524i
\(223\) −13.7768 23.8621i −0.922563 1.59793i −0.795434 0.606040i \(-0.792757\pi\)
−0.127129 0.991886i \(-0.540576\pi\)
\(224\) −1.65408 + 0.954985i −0.110518 + 0.0638076i
\(225\) 2.68686 4.21673i 0.179124 0.281115i
\(226\) −9.52913 + 9.52913i −0.633869 + 0.633869i
\(227\) 5.92789 + 3.42247i 0.393448 + 0.227157i 0.683653 0.729807i \(-0.260390\pi\)
−0.290205 + 0.956964i \(0.593724\pi\)
\(228\) 3.10252 + 1.79124i 0.205470 + 0.118628i
\(229\) 13.6008 13.6008i 0.898766 0.898766i −0.0965608 0.995327i \(-0.530784\pi\)
0.995327 + 0.0965608i \(0.0307842\pi\)
\(230\) 1.29321 + 0.784816i 0.0852719 + 0.0517492i
\(231\) 3.59585 2.07606i 0.236590 0.136595i
\(232\) 1.69214 + 2.93087i 0.111094 + 0.192421i
\(233\) −6.74979 + 6.74979i −0.442194 + 0.442194i −0.892749 0.450555i \(-0.851226\pi\)
0.450555 + 0.892749i \(0.351226\pi\)
\(234\) −2.33147 + 2.75032i −0.152413 + 0.179794i
\(235\) 16.7773 + 17.5273i 1.09443 + 1.14335i
\(236\) 14.0029 + 3.75207i 0.911512 + 0.244239i
\(237\) −4.93992 1.32365i −0.320882 0.0859802i
\(238\) 0.305640 + 1.14066i 0.0198117 + 0.0739383i
\(239\) 3.90302 + 3.90302i 0.252465 + 0.252465i 0.821981 0.569515i \(-0.192869\pi\)
−0.569515 + 0.821981i \(0.692869\pi\)
\(240\) −1.91159 1.16009i −0.123393 0.0748837i
\(241\) −10.7613 + 2.88348i −0.693196 + 0.185741i −0.588181 0.808729i \(-0.700156\pi\)
−0.105015 + 0.994471i \(0.533489\pi\)
\(242\) 6.27406 0.403312
\(243\) −0.965926 + 0.258819i −0.0619642 + 0.0166032i
\(244\) 2.85745 + 4.94925i 0.182930 + 0.316843i
\(245\) 2.09772 7.19580i 0.134018 0.459723i
\(246\) 8.11054i 0.517109i
\(247\) 5.51771 11.6790i 0.351083 0.743118i
\(248\) −0.691834 0.691834i −0.0439315 0.0439315i
\(249\) 0.994541 3.71168i 0.0630265 0.235218i
\(250\) 3.59516 10.5865i 0.227378 0.669552i
\(251\) 11.9048 + 6.87325i 0.751426 + 0.433836i 0.826209 0.563364i \(-0.190493\pi\)
−0.0747830 + 0.997200i \(0.523826\pi\)
\(252\) 1.90997i 0.120317i
\(253\) −0.735341 + 1.27365i −0.0462305 + 0.0800736i
\(254\) −3.55123 13.2534i −0.222824 0.831591i
\(255\) −0.998725 + 0.955990i −0.0625426 + 0.0598664i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 0.0339269 0.126617i 0.00211630 0.00789815i −0.964860 0.262766i \(-0.915365\pi\)
0.966976 + 0.254868i \(0.0820320\pi\)
\(258\) 3.01708 1.74191i 0.187835 0.108447i
\(259\) 5.45426 0.338911
\(260\) −3.60248 + 7.21264i −0.223416 + 0.447309i
\(261\) 3.38428 0.209482
\(262\) 14.4086 8.31884i 0.890169 0.513939i
\(263\) 4.36534 16.2917i 0.269178 1.00459i −0.690465 0.723366i \(-0.742594\pi\)
0.959643 0.281221i \(-0.0907395\pi\)
\(264\) 1.08696 1.88267i 0.0668979 0.115871i
\(265\) −0.106824 + 4.88612i −0.00656216 + 0.300152i
\(266\) −1.77095 6.60929i −0.108584 0.405242i
\(267\) −0.416510 + 0.721417i −0.0254900 + 0.0441500i
\(268\) 5.85612i 0.357719i
\(269\) −4.74801 2.74127i −0.289491 0.167138i 0.348221 0.937412i \(-0.386786\pi\)
−0.637712 + 0.770275i \(0.720119\pi\)
\(270\) −1.96047 + 1.07544i −0.119310 + 0.0654492i
\(271\) 1.56093 5.82549i 0.0948200 0.353873i −0.902172 0.431376i \(-0.858028\pi\)
0.996992 + 0.0775032i \(0.0246948\pi\)
\(272\) 0.437192 + 0.437192i 0.0265087 + 0.0265087i
\(273\) 6.86322 0.565680i 0.415381 0.0342365i
\(274\) 8.24704i 0.498222i
\(275\) 10.3663 + 3.26944i 0.625109 + 0.197155i
\(276\) −0.338255 0.585876i −0.0203606 0.0352656i
\(277\) −11.3119 + 3.03101i −0.679666 + 0.182116i −0.582105 0.813114i \(-0.697771\pi\)
−0.0975609 + 0.995230i \(0.531104\pi\)
\(278\) 14.6697 0.879830
\(279\) −0.945063 + 0.253229i −0.0565794 + 0.0151604i
\(280\) 1.01494 + 4.14847i 0.0606541 + 0.247919i
\(281\) 15.6369 + 15.6369i 0.932818 + 0.932818i 0.997881 0.0650632i \(-0.0207249\pi\)
−0.0650632 + 0.997881i \(0.520725\pi\)
\(282\) −2.80835 10.4809i −0.167235 0.624130i
\(283\) 9.26157 + 2.48163i 0.550543 + 0.147518i 0.523358 0.852113i \(-0.324679\pi\)
0.0271852 + 0.999630i \(0.491346\pi\)
\(284\) −6.64505 1.78054i −0.394311 0.105655i
\(285\) 5.78686 5.53924i 0.342784 0.328116i
\(286\) −7.08706 3.34826i −0.419067 0.197987i
\(287\) 10.9537 10.9537i 0.646577 0.646577i
\(288\) 0.500000 + 0.866025i 0.0294628 + 0.0510310i
\(289\) −14.3914 + 8.30886i −0.846551 + 0.488757i
\(290\) 7.35069 1.79837i 0.431647 0.105604i
\(291\) −12.9583 + 12.9583i −0.759631 + 0.759631i
\(292\) 1.86427 + 1.07634i 0.109098 + 0.0629878i
\(293\) 9.84550 + 5.68430i 0.575180 + 0.332080i 0.759216 0.650839i \(-0.225583\pi\)
−0.184035 + 0.982920i \(0.558916\pi\)
\(294\) −2.37023 + 2.37023i −0.138235 + 0.138235i
\(295\) 16.8177 27.7121i 0.979167 1.61346i
\(296\) 2.47309 1.42784i 0.143745 0.0829915i
\(297\) −1.08696 1.88267i −0.0630719 0.109244i
\(298\) 9.04604 9.04604i 0.524023 0.524023i
\(299\) −2.00508 + 1.38900i −0.115957 + 0.0803277i
\(300\) −3.68668 + 3.37764i −0.212850 + 0.195008i
\(301\) −6.42728 1.72218i −0.370462 0.0992651i
\(302\) −19.8110 5.30834i −1.14000 0.305461i
\(303\) 4.37852 + 16.3408i 0.251539 + 0.938757i
\(304\) −2.53320 2.53320i −0.145289 0.145289i
\(305\) 12.4128 3.03684i 0.710756 0.173889i
\(306\) 0.597215 0.160023i 0.0341405 0.00914793i
\(307\) −17.1833 −0.980702 −0.490351 0.871525i \(-0.663131\pi\)
−0.490351 + 0.871525i \(0.663131\pi\)
\(308\) −4.01065 + 1.07465i −0.228528 + 0.0612339i
\(309\) −2.54620 4.41014i −0.144848 0.250884i
\(310\) −1.91812 + 1.05221i −0.108942 + 0.0597616i
\(311\) 16.2305i 0.920347i 0.887829 + 0.460174i \(0.152213\pi\)
−0.887829 + 0.460174i \(0.847787\pi\)
\(312\) 2.96386 2.05318i 0.167796 0.116238i
\(313\) −14.8660 14.8660i −0.840275 0.840275i 0.148620 0.988894i \(-0.452517\pi\)
−0.988894 + 0.148620i \(0.952517\pi\)
\(314\) 2.23565 8.34356i 0.126165 0.470854i
\(315\) 4.10015 + 1.19528i 0.231017 + 0.0673461i
\(316\) 4.42901 + 2.55709i 0.249151 + 0.143848i
\(317\) 32.9862i 1.85269i 0.376676 + 0.926345i \(0.377067\pi\)
−0.376676 + 0.926345i \(0.622933\pi\)
\(318\) 1.09283 1.89284i 0.0612830 0.106145i
\(319\) 1.90417 + 7.10647i 0.106613 + 0.397886i
\(320\) 1.54620 + 1.61532i 0.0864353 + 0.0902992i
\(321\) 4.77038 8.26253i 0.266256 0.461170i
\(322\) −0.334424 + 1.24809i −0.0186367 + 0.0695532i
\(323\) −1.91824 + 1.10749i −0.106734 + 0.0616226i
\(324\) 1.00000 0.0555556
\(325\) 13.2290 + 12.2472i 0.733812 + 0.679353i
\(326\) −10.5027 −0.581689
\(327\) −12.1032 + 6.98776i −0.669306 + 0.386424i
\(328\) 2.09916 7.83418i 0.115907 0.432570i
\(329\) −10.3622 + 17.9479i −0.571287 + 0.989498i
\(330\) −3.36132 3.51158i −0.185035 0.193306i
\(331\) −0.460244 1.71765i −0.0252973 0.0944107i 0.952123 0.305715i \(-0.0988955\pi\)
−0.977420 + 0.211304i \(0.932229\pi\)
\(332\) −1.92131 + 3.32780i −0.105445 + 0.182637i
\(333\) 2.85568i 0.156490i
\(334\) 6.02056 + 3.47597i 0.329431 + 0.190197i
\(335\) −12.5714 3.66481i −0.686848 0.200230i
\(336\) 0.494337 1.84489i 0.0269683 0.100647i
\(337\) −8.61910 8.61910i −0.469512 0.469512i 0.432244 0.901757i \(-0.357722\pi\)
−0.901757 + 0.432244i \(0.857722\pi\)
\(338\) −8.25563 10.0421i −0.449047 0.546221i
\(339\) 13.4762i 0.731928i
\(340\) 1.21212 0.664926i 0.0657366 0.0360607i
\(341\) −1.06348 1.84201i −0.0575909 0.0997504i
\(342\) −3.46041 + 0.927215i −0.187118 + 0.0501381i
\(343\) 19.7720 1.06759
\(344\) −3.36512 + 0.901681i −0.181435 + 0.0486154i
\(345\) −1.46939 + 0.359491i −0.0791092 + 0.0193543i
\(346\) −9.31810 9.31810i −0.500944 0.500944i
\(347\) 4.58480 + 17.1107i 0.246125 + 0.918550i 0.972815 + 0.231585i \(0.0743910\pi\)
−0.726690 + 0.686966i \(0.758942\pi\)
\(348\) −3.26896 0.875916i −0.175235 0.0469540i
\(349\) −16.2696 4.35943i −0.870892 0.233355i −0.204419 0.978884i \(-0.565530\pi\)
−0.666473 + 0.745529i \(0.732197\pi\)
\(350\) 9.54073 + 0.417373i 0.509973 + 0.0223095i
\(351\) −0.296172 3.59337i −0.0158085 0.191800i
\(352\) −1.53720 + 1.53720i −0.0819328 + 0.0819328i
\(353\) 17.3991 + 30.1361i 0.926061 + 1.60398i 0.789846 + 0.613305i \(0.210160\pi\)
0.136215 + 0.990679i \(0.456506\pi\)
\(354\) −12.5547 + 7.24844i −0.667273 + 0.385250i
\(355\) −7.98082 + 13.1507i −0.423578 + 0.697968i
\(356\) 0.589034 0.589034i 0.0312188 0.0312188i
\(357\) −1.02269 0.590451i −0.0541266 0.0312500i
\(358\) −14.1668 8.17918i −0.748736 0.432283i
\(359\) −11.3845 + 11.3845i −0.600849 + 0.600849i −0.940538 0.339689i \(-0.889678\pi\)
0.339689 + 0.940538i \(0.389678\pi\)
\(360\) 2.17201 0.531389i 0.114475 0.0280067i
\(361\) −5.33974 + 3.08290i −0.281039 + 0.162258i
\(362\) 5.37891 + 9.31654i 0.282709 + 0.489666i
\(363\) −4.43643 + 4.43643i −0.232852 + 0.232852i
\(364\) −6.77577 1.22993i −0.355147 0.0644657i
\(365\) 3.47725 3.32846i 0.182008 0.174220i
\(366\) −5.52017 1.47913i −0.288544 0.0773151i
\(367\) 12.8267 + 3.43690i 0.669547 + 0.179405i 0.577551 0.816355i \(-0.304009\pi\)
0.0919962 + 0.995759i \(0.470675\pi\)
\(368\) 0.175094 + 0.653459i 0.00912740 + 0.0340639i
\(369\) −5.73502 5.73502i −0.298553 0.298553i
\(370\) −1.51748 6.20256i −0.0788898 0.322456i
\(371\) −4.03231 + 1.08045i −0.209347 + 0.0560944i
\(372\) 0.978401 0.0507277
\(373\) 5.76165 1.54383i 0.298327 0.0799364i −0.106551 0.994307i \(-0.533981\pi\)
0.404878 + 0.914371i \(0.367314\pi\)
\(374\) 0.672050 + 1.16402i 0.0347509 + 0.0601903i
\(375\) 4.94365 + 10.0280i 0.255289 + 0.517842i
\(376\) 10.8506i 0.559579i
\(377\) −2.17931 + 12.0060i −0.112240 + 0.618341i
\(378\) −1.35055 1.35055i −0.0694650 0.0694650i
\(379\) −2.67271 + 9.97467i −0.137288 + 0.512365i 0.862690 + 0.505733i \(0.168778\pi\)
−0.999978 + 0.00663207i \(0.997889\pi\)
\(380\) −7.02334 + 3.85275i −0.360290 + 0.197642i
\(381\) 11.8827 + 6.86045i 0.608767 + 0.351472i
\(382\) 24.5409i 1.25562i
\(383\) 2.21446 3.83556i 0.113154 0.195988i −0.803886 0.594783i \(-0.797238\pi\)
0.917040 + 0.398795i \(0.130571\pi\)
\(384\) −0.258819 0.965926i −0.0132078 0.0492922i
\(385\) −0.202935 + 9.28223i −0.0103425 + 0.473066i
\(386\) −9.45984 + 16.3849i −0.481493 + 0.833971i
\(387\) −0.901681 + 3.36512i −0.0458350 + 0.171059i
\(388\) 15.8707 9.16293i 0.805711 0.465177i
\(389\) 1.11411 0.0564874 0.0282437 0.999601i \(-0.491009\pi\)
0.0282437 + 0.999601i \(0.491009\pi\)
\(390\) −2.55276 7.64744i −0.129264 0.387243i
\(391\) 0.418275 0.0211531
\(392\) 2.90293 1.67601i 0.146620 0.0846511i
\(393\) −4.30615 + 16.0708i −0.217216 + 0.810663i
\(394\) 10.7874 18.6844i 0.543463 0.941306i
\(395\) 8.26105 7.90755i 0.415658 0.397872i
\(396\) 0.562653 + 2.09985i 0.0282744 + 0.105521i
\(397\) −19.2474 + 33.3374i −0.965998 + 1.67316i −0.259088 + 0.965854i \(0.583422\pi\)
−0.706910 + 0.707304i \(0.749911\pi\)
\(398\) 23.1312i 1.15946i
\(399\) 5.92573 + 3.42122i 0.296657 + 0.171275i
\(400\) 4.43525 2.30836i 0.221763 0.115418i
\(401\) 2.65088 9.89323i 0.132379 0.494044i −0.867616 0.497235i \(-0.834349\pi\)
0.999995 + 0.00319033i \(0.00101551\pi\)
\(402\) 4.14090 + 4.14090i 0.206529 + 0.206529i
\(403\) −0.289775 3.51575i −0.0144347 0.175132i
\(404\) 16.9173i 0.841666i
\(405\) 0.625808 2.14671i 0.0310967 0.106671i
\(406\) 3.23194 + 5.59788i 0.160398 + 0.277818i
\(407\) 5.99649 1.60676i 0.297235 0.0796439i
\(408\) −0.618283 −0.0306096
\(409\) −17.0104 + 4.55794i −0.841113 + 0.225375i −0.653556 0.756878i \(-0.726724\pi\)
−0.187557 + 0.982254i \(0.560057\pi\)
\(410\) −15.5040 9.40899i −0.765690 0.464677i
\(411\) −5.83154 5.83154i −0.287649 0.287649i
\(412\) 1.31801 + 4.91887i 0.0649336 + 0.242336i
\(413\) 26.7452 + 7.16634i 1.31604 + 0.352633i
\(414\) 0.653459 + 0.175094i 0.0321158 + 0.00860540i
\(415\) 5.94145 + 6.20705i 0.291654 + 0.304692i
\(416\) −3.39427 + 1.21611i −0.166418 + 0.0596248i
\(417\) −10.3730 + 10.3730i −0.507970 + 0.507970i
\(418\) −3.89402 6.74465i −0.190463 0.329891i
\(419\) −5.44338 + 3.14274i −0.265926 + 0.153533i −0.627035 0.778991i \(-0.715732\pi\)
0.361109 + 0.932524i \(0.382398\pi\)
\(420\) −3.65108 2.21575i −0.178155 0.108117i
\(421\) −18.1111 + 18.1111i −0.882681 + 0.882681i −0.993806 0.111125i \(-0.964554\pi\)
0.111125 + 0.993806i \(0.464554\pi\)
\(422\) −22.2584 12.8509i −1.08352 0.625571i
\(423\) 9.39693 + 5.42532i 0.456895 + 0.263788i
\(424\) −1.54550 + 1.54550i −0.0750560 + 0.0750560i
\(425\) −0.668847 3.01819i −0.0324438 0.146404i
\(426\) 5.95779 3.43973i 0.288656 0.166655i
\(427\) 5.45765 + 9.45292i 0.264114 + 0.457459i
\(428\) −6.74633 + 6.74633i −0.326096 + 0.326096i
\(429\) 7.37888 2.64373i 0.356256 0.127641i
\(430\) −0.170272 + 7.78822i −0.00821125 + 0.375581i
\(431\) −11.5686 3.09979i −0.557239 0.149312i −0.0308013 0.999526i \(-0.509806\pi\)
−0.526437 + 0.850214i \(0.676473\pi\)
\(432\) −0.965926 0.258819i −0.0464731 0.0124524i
\(433\) 9.17258 + 34.2325i 0.440806 + 1.64511i 0.726778 + 0.686873i \(0.241017\pi\)
−0.285972 + 0.958238i \(0.592316\pi\)
\(434\) −1.32138 1.32138i −0.0634284 0.0634284i
\(435\) −3.92608 + 6.46936i −0.188241 + 0.310182i
\(436\) 13.4993 3.61713i 0.646500 0.173229i
\(437\) −2.42359 −0.115936
\(438\) −2.07932 + 0.557152i −0.0993538 + 0.0266218i
\(439\) −15.1777 26.2886i −0.724394 1.25469i −0.959223 0.282650i \(-0.908786\pi\)
0.234829 0.972037i \(-0.424547\pi\)
\(440\) 2.33792 + 4.26190i 0.111456 + 0.203178i
\(441\) 3.35201i 0.159620i
\(442\) 0.183118 + 2.22172i 0.00871005 + 0.105676i
\(443\) −19.2254 19.2254i −0.913426 0.913426i 0.0831145 0.996540i \(-0.473513\pi\)
−0.996540 + 0.0831145i \(0.973513\pi\)
\(444\) −0.739104 + 2.75837i −0.0350763 + 0.130907i
\(445\) −0.895863 1.63311i −0.0424680 0.0774168i
\(446\) −23.8621 13.7768i −1.12990 0.652351i
\(447\) 12.7930i 0.605090i
\(448\) −0.954985 + 1.65408i −0.0451188 + 0.0781481i
\(449\) −3.49720 13.0517i −0.165043 0.615948i −0.998035 0.0626632i \(-0.980041\pi\)
0.832992 0.553285i \(-0.186626\pi\)
\(450\) 0.218523 4.99522i 0.0103013 0.235477i
\(451\) 8.81584 15.2695i 0.415122 0.719012i
\(452\) −3.48791 + 13.0170i −0.164057 + 0.612270i
\(453\) 17.7621 10.2549i 0.834535 0.481819i
\(454\) 6.84494 0.321249
\(455\) −6.88063 + 13.7759i −0.322569 + 0.645825i
\(456\) 3.58249 0.167765
\(457\) −0.198413 + 0.114554i −0.00928136 + 0.00535859i −0.504633 0.863334i \(-0.668372\pi\)
0.495352 + 0.868692i \(0.335039\pi\)
\(458\) 4.97824 18.5790i 0.232618 0.868142i
\(459\) −0.309141 + 0.535449i −0.0144295 + 0.0249926i
\(460\) 1.51236 + 0.0330645i 0.0705143 + 0.00154164i
\(461\) −9.53478 35.5843i −0.444079 1.65733i −0.718357 0.695675i \(-0.755105\pi\)
0.274278 0.961651i \(-0.411561\pi\)
\(462\) 2.07606 3.59585i 0.0965873 0.167294i
\(463\) 0.0626597i 0.00291205i 0.999999 + 0.00145602i \(0.000463467\pi\)
−0.999999 + 0.00145602i \(0.999537\pi\)
\(464\) 2.93087 + 1.69214i 0.136062 + 0.0785556i
\(465\) 0.612291 2.10034i 0.0283943 0.0974011i
\(466\) −2.47060 + 9.22039i −0.114448 + 0.427126i
\(467\) −12.4618 12.4618i −0.576663 0.576663i 0.357319 0.933982i \(-0.383691\pi\)
−0.933982 + 0.357319i \(0.883691\pi\)
\(468\) −0.643951 + 3.54758i −0.0297667 + 0.163987i
\(469\) 11.1850i 0.516476i
\(470\) 23.2932 + 6.79042i 1.07443 + 0.313219i
\(471\) 4.31894 + 7.48063i 0.199006 + 0.344689i
\(472\) 14.0029 3.75207i 0.644536 0.172703i
\(473\) −7.57358 −0.348233
\(474\) −4.93992 + 1.32365i −0.226898 + 0.0607972i
\(475\) 3.87547 + 17.4882i 0.177819 + 0.802412i
\(476\) 0.835024 + 0.835024i 0.0382733 + 0.0382733i
\(477\) 0.565691 + 2.11119i 0.0259012 + 0.0966647i
\(478\) 5.33162 + 1.42860i 0.243863 + 0.0653428i
\(479\) 4.71886 + 1.26441i 0.215610 + 0.0577726i 0.365007 0.931005i \(-0.381067\pi\)
−0.149397 + 0.988777i \(0.547733\pi\)
\(480\) −2.23553 0.0488750i −0.102038 0.00223083i
\(481\) 10.1307 + 1.83892i 0.461922 + 0.0838474i
\(482\) −7.87782 + 7.87782i −0.358825 + 0.358825i
\(483\) −0.646058 1.11901i −0.0293967 0.0509165i
\(484\) 5.43349 3.13703i 0.246977 0.142592i
\(485\) −9.73816 39.8039i −0.442187 1.80740i
\(486\) −0.707107 + 0.707107i −0.0320750 + 0.0320750i
\(487\) 16.8761 + 9.74340i 0.764728 + 0.441516i 0.830991 0.556287i \(-0.187774\pi\)
−0.0662630 + 0.997802i \(0.521108\pi\)
\(488\) 4.94925 + 2.85745i 0.224042 + 0.129351i
\(489\) 7.42651 7.42651i 0.335838 0.335838i
\(490\) −1.78122 7.28060i −0.0804674 0.328904i
\(491\) 23.5658 13.6057i 1.06351 0.614017i 0.137107 0.990556i \(-0.456219\pi\)
0.926401 + 0.376540i \(0.122886\pi\)
\(492\) 4.05527 + 7.02393i 0.182826 + 0.316663i
\(493\) 1.47958 1.47958i 0.0666369 0.0666369i
\(494\) −1.06103 12.8732i −0.0477381 0.579192i
\(495\) 4.85988 + 0.106250i 0.218435 + 0.00477560i
\(496\) −0.945063 0.253229i −0.0424346 0.0113703i
\(497\) −12.6918 3.40077i −0.569307 0.152545i
\(498\) −0.994541 3.71168i −0.0445664 0.166324i
\(499\) −11.1781 11.1781i −0.500399 0.500399i 0.411163 0.911562i \(-0.365123\pi\)
−0.911562 + 0.411163i \(0.865123\pi\)
\(500\) −2.17977 10.9658i −0.0974824 0.490405i
\(501\) −6.71506 + 1.79930i −0.300007 + 0.0803866i
\(502\) 13.7465 0.613537
\(503\) 4.06591 1.08946i 0.181290 0.0485764i −0.167032 0.985951i \(-0.553418\pi\)
0.348322 + 0.937375i \(0.386752\pi\)
\(504\) 0.954985 + 1.65408i 0.0425384 + 0.0736787i
\(505\) −36.3165 10.5870i −1.61606 0.471114i
\(506\) 1.47068i 0.0653798i
\(507\) 12.9385 + 1.26326i 0.574618 + 0.0561032i
\(508\) −9.70214 9.70214i −0.430463 0.430463i
\(509\) −9.73121 + 36.3174i −0.431328 + 1.60974i 0.318375 + 0.947965i \(0.396863\pi\)
−0.749703 + 0.661774i \(0.769804\pi\)
\(510\) −0.386927 + 1.32727i −0.0171334 + 0.0587727i
\(511\) 3.56070 + 2.05577i 0.157516 + 0.0909419i
\(512\) 1.00000i 0.0441942i
\(513\) 1.79124 3.10252i 0.0790853 0.136980i
\(514\) −0.0339269 0.126617i −0.00149645 0.00558484i
\(515\) 11.3842 + 0.248891i 0.501648 + 0.0109674i
\(516\) 1.74191 3.01708i 0.0766835 0.132820i
\(517\) −6.10515 + 22.7847i −0.268504 + 1.00207i
\(518\) 4.72353 2.72713i 0.207540 0.119823i
\(519\) 13.1778 0.578440
\(520\) 0.486477 + 8.04757i 0.0213334 + 0.352909i
\(521\) 0.544187 0.0238413 0.0119206 0.999929i \(-0.496205\pi\)
0.0119206 + 0.999929i \(0.496205\pi\)
\(522\) 2.93087 1.69214i 0.128281 0.0740629i
\(523\) −0.351192 + 1.31067i −0.0153565 + 0.0573114i −0.973179 0.230049i \(-0.926111\pi\)
0.957822 + 0.287361i \(0.0927779\pi\)
\(524\) 8.31884 14.4086i 0.363410 0.629445i
\(525\) −7.04144 + 6.45119i −0.307314 + 0.281553i
\(526\) −4.36534 16.2917i −0.190338 0.710351i
\(527\) −0.302464 + 0.523883i −0.0131755 + 0.0228207i
\(528\) 2.17392i 0.0946079i
\(529\) −19.5222 11.2712i −0.848793 0.490051i
\(530\) 2.35055 + 4.28492i 0.102101 + 0.186125i
\(531\) 3.75207 14.0029i 0.162826 0.607675i
\(532\) −4.83834 4.83834i −0.209768 0.209768i
\(533\) 24.0385 16.6524i 1.04122 0.721294i
\(534\) 0.833020i 0.0360483i
\(535\) 10.2605 + 18.7043i 0.443600 + 0.808659i
\(536\) −2.92806 5.07155i −0.126473 0.219058i
\(537\) 15.8010 4.23386i 0.681862 0.182704i
\(538\) −5.48253 −0.236369
\(539\) 7.03872 1.88602i 0.303179 0.0812366i
\(540\) −1.16009 + 1.91159i −0.0499225 + 0.0822618i
\(541\) 15.2374 + 15.2374i 0.655107 + 0.655107i 0.954218 0.299111i \(-0.0966901\pi\)
−0.299111 + 0.954218i \(0.596690\pi\)
\(542\) −1.56093 5.82549i −0.0670479 0.250226i
\(543\) −10.3912 2.78433i −0.445931 0.119487i
\(544\) 0.597215 + 0.160023i 0.0256054 + 0.00686095i
\(545\) 0.683054 31.2428i 0.0292588 1.33829i
\(546\) 5.66089 3.92151i 0.242264 0.167825i
\(547\) 24.5518 24.5518i 1.04976 1.04976i 0.0510651 0.998695i \(-0.483738\pi\)
0.998695 0.0510651i \(-0.0162616\pi\)
\(548\) 4.12352 + 7.14214i 0.176148 + 0.305097i
\(549\) 4.94925 2.85745i 0.211229 0.121953i
\(550\) 10.6122 2.35171i 0.452504 0.100277i
\(551\) −8.57305 + 8.57305i −0.365224 + 0.365224i
\(552\) −0.585876 0.338255i −0.0249365 0.0143971i
\(553\) 8.45928 + 4.88397i 0.359725 + 0.207687i
\(554\) −8.28088 + 8.28088i −0.351821 + 0.351821i
\(555\) 5.45889 + 3.31285i 0.231717 + 0.140623i
\(556\) 12.7043 7.33484i 0.538783 0.311067i
\(557\) 3.45419 + 5.98283i 0.146359 + 0.253501i 0.929879 0.367866i \(-0.119911\pi\)
−0.783520 + 0.621366i \(0.786578\pi\)
\(558\) −0.691834 + 0.691834i −0.0292877 + 0.0292877i
\(559\) −11.3574 5.36576i −0.480367 0.226947i
\(560\) 2.95320 + 3.08522i 0.124795 + 0.130374i
\(561\) −1.29830 0.347879i −0.0548143 0.0146874i
\(562\) 21.3604 + 5.72349i 0.901033 + 0.241431i
\(563\) −2.98545 11.1418i −0.125822 0.469573i 0.874046 0.485843i \(-0.161487\pi\)
−0.999868 + 0.0162704i \(0.994821\pi\)
\(564\) −7.67257 7.67257i −0.323073 0.323073i
\(565\) 25.7610 + 15.6337i 1.08378 + 0.657714i
\(566\) 9.26157 2.48163i 0.389293 0.104311i
\(567\) 1.90997 0.0802112
\(568\) −6.64505 + 1.78054i −0.278820 + 0.0747096i
\(569\) −13.9253 24.1194i −0.583780 1.01114i −0.995026 0.0996118i \(-0.968240\pi\)
0.411247 0.911524i \(-0.365093\pi\)
\(570\) 2.24195 7.69056i 0.0939049 0.322122i
\(571\) 36.5717i 1.53048i 0.643745 + 0.765240i \(0.277380\pi\)
−0.643745 + 0.765240i \(0.722620\pi\)
\(572\) −7.81170 + 0.643856i −0.326624 + 0.0269210i
\(573\) −17.3530 17.3530i −0.724934 0.724934i
\(574\) 4.00934 14.9631i 0.167347 0.624546i
\(575\) 1.01743 3.22591i 0.0424297 0.134530i
\(576\) 0.866025 + 0.500000i 0.0360844 + 0.0208333i
\(577\) 9.67542i 0.402793i −0.979510 0.201397i \(-0.935452\pi\)
0.979510 0.201397i \(-0.0645480\pi\)
\(578\) −8.30886 + 14.3914i −0.345603 + 0.598602i
\(579\) −4.89678 18.2750i −0.203503 0.759484i
\(580\) 5.46670 5.23278i 0.226992 0.217279i
\(581\) −3.66964 + 6.35600i −0.152242 + 0.263691i
\(582\) −4.74308 + 17.7014i −0.196607 + 0.733747i
\(583\) −4.11489 + 2.37573i −0.170421 + 0.0983928i
\(584\) 2.15267 0.0890782
\(585\) 7.21264 + 3.60248i 0.298206 + 0.148944i
\(586\) 11.3686 0.469633
\(587\) 39.9990 23.0934i 1.65093 0.953168i 0.674246 0.738506i \(-0.264469\pi\)
0.976689 0.214661i \(-0.0688648\pi\)
\(588\) −0.867565 + 3.23780i −0.0357778 + 0.133524i
\(589\) 1.75255 3.03551i 0.0722127 0.125076i
\(590\) 0.708535 32.4083i 0.0291699 1.33423i
\(591\) 5.58399 + 20.8397i 0.229695 + 0.857232i
\(592\) 1.42784 2.47309i 0.0586838 0.101643i
\(593\) 26.6102i 1.09275i 0.837541 + 0.546374i \(0.183992\pi\)
−0.837541 + 0.546374i \(0.816008\pi\)
\(594\) −1.88267 1.08696i −0.0772470 0.0445986i
\(595\) 2.31512 1.26999i 0.0949106 0.0520645i
\(596\) 3.31108 12.3571i 0.135627 0.506167i
\(597\) −16.3562 16.3562i −0.669415 0.669415i
\(598\) −1.04196 + 2.20545i −0.0426087 + 0.0901875i
\(599\) 12.1568i 0.496711i −0.968669 0.248356i \(-0.920110\pi\)
0.968669 0.248356i \(-0.0798902\pi\)
\(600\) −1.50394 + 4.76846i −0.0613979 + 0.194671i
\(601\) 3.24280 + 5.61669i 0.132276 + 0.229109i 0.924554 0.381052i \(-0.124438\pi\)
−0.792277 + 0.610161i \(0.791105\pi\)
\(602\) −6.42728 + 1.72218i −0.261956 + 0.0701910i
\(603\) −5.85612 −0.238480
\(604\) −19.8110 + 5.30834i −0.806098 + 0.215993i
\(605\) −3.33397 13.6273i −0.135545 0.554029i
\(606\) 11.9623 + 11.9623i 0.485936 + 0.485936i
\(607\) −5.35073 19.9692i −0.217179 0.810524i −0.985388 0.170325i \(-0.945518\pi\)
0.768209 0.640200i \(-0.221148\pi\)
\(608\) −3.46041 0.927215i −0.140338 0.0376035i
\(609\) −6.24362 1.67297i −0.253004 0.0677923i
\(610\) 9.23140 8.83639i 0.373768 0.357775i
\(611\) −25.2979 + 29.8427i −1.02344 + 1.20731i
\(612\) 0.437192 0.437192i 0.0176724 0.0176724i
\(613\) −18.5460 32.1225i −0.749064 1.29742i −0.948272 0.317460i \(-0.897170\pi\)
0.199208 0.979957i \(-0.436163\pi\)
\(614\) −14.8812 + 8.59165i −0.600555 + 0.346731i
\(615\) 17.6162 4.30985i 0.710352 0.173790i
\(616\) −2.93600 + 2.93600i −0.118295 + 0.118295i
\(617\) 4.37225 + 2.52432i 0.176020 + 0.101625i 0.585422 0.810729i \(-0.300929\pi\)
−0.409401 + 0.912354i \(0.634262\pi\)
\(618\) −4.41014 2.54620i −0.177402 0.102423i
\(619\) 18.2344 18.2344i 0.732901 0.732901i −0.238292 0.971193i \(-0.576588\pi\)
0.971193 + 0.238292i \(0.0765876\pi\)
\(620\) −1.13504 + 1.87030i −0.0455842 + 0.0751132i
\(621\) −0.585876 + 0.338255i −0.0235104 + 0.0135737i
\(622\) 8.11525 + 14.0560i 0.325392 + 0.563595i
\(623\) 1.12504 1.12504i 0.0450737 0.0450737i
\(624\) 1.54019 3.26003i 0.0616570 0.130506i
\(625\) −24.9045 2.18315i −0.996180 0.0873258i
\(626\) −20.3073 5.44132i −0.811643 0.217479i
\(627\) 7.52268 + 2.01570i 0.300427 + 0.0804991i
\(628\) −2.23565 8.34356i −0.0892121 0.332944i
\(629\) −1.24848 1.24848i −0.0497801 0.0497801i
\(630\) 4.14847 1.01494i 0.165279 0.0404361i
\(631\) 14.7435 3.95051i 0.586930 0.157267i 0.0468803 0.998901i \(-0.485072\pi\)
0.540050 + 0.841633i \(0.318405\pi\)
\(632\) 5.11418 0.203431
\(633\) 24.8260 6.65211i 0.986745 0.264398i
\(634\) 16.4931 + 28.5669i 0.655025 + 1.13454i
\(635\) −26.8994 + 14.7560i −1.06747 + 0.585574i
\(636\) 2.18566i 0.0866672i
\(637\) 11.8915 + 2.15853i 0.471160 + 0.0855242i
\(638\) 5.20230 + 5.20230i 0.205961 + 0.205961i
\(639\) −1.78054 + 6.64505i −0.0704369 + 0.262874i
\(640\) 2.14671 + 0.625808i 0.0848562 + 0.0247372i
\(641\) −41.2213 23.7991i −1.62814 0.940008i −0.984647 0.174558i \(-0.944150\pi\)
−0.643495 0.765450i \(-0.722516\pi\)
\(642\) 9.54075i 0.376543i
\(643\) −11.1405 + 19.2959i −0.439339 + 0.760957i −0.997639 0.0686821i \(-0.978121\pi\)
0.558300 + 0.829639i \(0.311454\pi\)
\(644\) 0.334424 + 1.24809i 0.0131782 + 0.0491816i
\(645\) −5.38670 5.62750i −0.212101 0.221583i
\(646\) −1.10749 + 1.91824i −0.0435738 + 0.0754720i
\(647\) 4.86376 18.1518i 0.191214 0.713620i −0.802001 0.597323i \(-0.796231\pi\)
0.993214 0.116297i \(-0.0371024\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) 31.5151 1.23708
\(650\) 17.5802 + 3.99191i 0.689554 + 0.156576i
\(651\) 1.86872 0.0732408
\(652\) −9.09558 + 5.25134i −0.356210 + 0.205658i
\(653\) 0.407336 1.52020i 0.0159403 0.0594899i −0.957498 0.288441i \(-0.906863\pi\)
0.973438 + 0.228951i \(0.0735297\pi\)
\(654\) −6.98776 + 12.1032i −0.273243 + 0.473271i
\(655\) −25.7252 26.8752i −1.00517 1.05010i
\(656\) −2.09916 7.83418i −0.0819585 0.305873i
\(657\) 1.07634 1.86427i 0.0419918 0.0727320i
\(658\) 20.7244i 0.807922i
\(659\) −3.05103 1.76151i −0.118851 0.0686187i 0.439396 0.898294i \(-0.355193\pi\)
−0.558247 + 0.829675i \(0.688526\pi\)
\(660\) −4.66678 1.36046i −0.181654 0.0529558i
\(661\) 12.5243 46.7413i 0.487139 1.81803i −0.0830924 0.996542i \(-0.526480\pi\)
0.570231 0.821484i \(-0.306854\pi\)
\(662\) −1.25741 1.25741i −0.0488706 0.0488706i
\(663\) −1.70048 1.44151i −0.0660410 0.0559835i
\(664\) 3.84261i 0.149122i
\(665\) −13.4144 + 7.35863i −0.520187 + 0.285356i
\(666\) −1.42784 2.47309i −0.0553276 0.0958303i
\(667\) 2.21149 0.592567i 0.0856292 0.0229443i
\(668\) 6.95195 0.268979
\(669\) 26.6147 7.13140i 1.02899 0.275716i
\(670\) −12.7195 + 3.11188i −0.491399 + 0.120222i
\(671\) 8.78492 + 8.78492i 0.339138 + 0.339138i
\(672\) −0.494337 1.84489i −0.0190695 0.0711682i
\(673\) 21.6749 + 5.80778i 0.835507 + 0.223873i 0.651115 0.758979i \(-0.274302\pi\)
0.184392 + 0.982853i \(0.440968\pi\)
\(674\) −11.7739 3.15481i −0.453514 0.121519i
\(675\) 3.37764 + 3.68668i 0.130005 + 0.141900i
\(676\) −12.1707 4.56894i −0.468102 0.175728i
\(677\) −31.0923 + 31.0923i −1.19497 + 1.19497i −0.219322 + 0.975653i \(0.570384\pi\)
−0.975653 + 0.219322i \(0.929616\pi\)
\(678\) −6.73812 11.6708i −0.258776 0.448213i
\(679\) 30.3125 17.5009i 1.16329 0.671624i
\(680\) 0.717266 1.18190i 0.0275059 0.0453240i
\(681\) −4.84010 + 4.84010i −0.185473 + 0.185473i
\(682\) −1.84201 1.06348i −0.0705342 0.0407229i
\(683\) −10.6173 6.12989i −0.406259 0.234554i 0.282922 0.959143i \(-0.408696\pi\)
−0.689181 + 0.724589i \(0.742030\pi\)
\(684\) −2.53320 + 2.53320i −0.0968593 + 0.0968593i
\(685\) 17.9126 4.38239i 0.684407 0.167442i
\(686\) 17.1231 9.88602i 0.653763 0.377450i
\(687\) 9.61722 + 16.6575i 0.366920 + 0.635524i
\(688\) −2.46344 + 2.46344i −0.0939177 + 0.0939177i
\(689\) −7.85389 + 0.647333i −0.299209 + 0.0246614i
\(690\) −1.09278 + 1.04602i −0.0416015 + 0.0398214i
\(691\) −41.9840 11.2496i −1.59715 0.427954i −0.652967 0.757386i \(-0.726476\pi\)
−0.944179 + 0.329432i \(0.893143\pi\)
\(692\) −12.7288 3.41066i −0.483875 0.129654i
\(693\) 1.07465 + 4.01065i 0.0408226 + 0.152352i
\(694\) 12.5259 + 12.5259i 0.475477 + 0.475477i
\(695\) −7.79531 31.8627i −0.295693 1.20862i
\(696\) −3.26896 + 0.875916i −0.123910 + 0.0332015i
\(697\) −5.01461 −0.189942
\(698\) −16.2696 + 4.35943i −0.615814 + 0.165007i
\(699\) −4.77283 8.26678i −0.180525 0.312678i
\(700\) 8.47120 4.40891i 0.320181 0.166641i
\(701\) 2.09730i 0.0792141i 0.999215 + 0.0396070i \(0.0126106\pi\)
−0.999215 + 0.0396070i \(0.987389\pi\)
\(702\) −2.05318 2.96386i −0.0774921 0.111864i
\(703\) 7.23400 + 7.23400i 0.272836 + 0.272836i
\(704\) −0.562653 + 2.09985i −0.0212058 + 0.0791410i
\(705\) −21.2723 + 11.6692i −0.801162 + 0.439488i
\(706\) 30.1361 + 17.3991i 1.13419 + 0.654824i
\(707\) 32.3115i 1.21520i
\(708\) −7.24844 + 12.5547i −0.272413 + 0.471833i
\(709\) −1.74277 6.50411i −0.0654511 0.244267i 0.925448 0.378875i \(-0.123689\pi\)
−0.990899 + 0.134608i \(0.957022\pi\)
\(710\) −0.336233 + 15.3793i −0.0126186 + 0.577173i
\(711\) 2.55709 4.42901i 0.0958984 0.166101i
\(712\) 0.215602 0.804636i 0.00808001 0.0301550i
\(713\) −0.573221 + 0.330949i −0.0214673 + 0.0123942i
\(714\) −1.18090 −0.0441941
\(715\) −3.50646 + 17.1724i −0.131134 + 0.642211i
\(716\) −16.3584 −0.611341
\(717\) −4.78020 + 2.75985i −0.178520 + 0.103069i
\(718\) −4.16700 + 15.5515i −0.155511 + 0.580375i
\(719\) −9.33097 + 16.1617i −0.347987 + 0.602730i −0.985892 0.167385i \(-0.946468\pi\)
0.637905 + 0.770115i \(0.279801\pi\)
\(720\) 1.61532 1.54620i 0.0601995 0.0576235i
\(721\) 2.51736 + 9.39490i 0.0937513 + 0.349885i
\(722\) −3.08290 + 5.33974i −0.114734 + 0.198725i
\(723\) 11.1409i 0.414335i
\(724\) 9.31654 + 5.37891i 0.346246 + 0.199905i
\(725\) −7.81215 15.0101i −0.290136 0.557462i
\(726\) −1.62385 + 6.06027i −0.0602666 + 0.224918i
\(727\) −25.5354 25.5354i −0.947057 0.947057i 0.0516107 0.998667i \(-0.483565\pi\)
−0.998667 + 0.0516107i \(0.983565\pi\)
\(728\) −6.48296 + 2.32274i −0.240274 + 0.0860864i
\(729\) 1.00000i 0.0370370i
\(730\) 1.34716 4.62116i 0.0498606 0.171037i
\(731\) 1.07700 + 1.86541i 0.0398341 + 0.0689947i
\(732\) −5.52017 + 1.47913i −0.204031 + 0.0546700i
\(733\) −3.90642 −0.144287 −0.0721435 0.997394i \(-0.522984\pi\)
−0.0721435 + 0.997394i \(0.522984\pi\)
\(734\) 12.8267 3.43690i 0.473441 0.126858i
\(735\) 6.40768 + 3.88865i 0.236351 + 0.143435i
\(736\) 0.478365 + 0.478365i 0.0176328 + 0.0176328i
\(737\) −3.29496 12.2970i −0.121371 0.452965i
\(738\) −7.83418 2.09916i −0.288380 0.0772712i
\(739\) 4.49797 + 1.20523i 0.165461 + 0.0443350i 0.340598 0.940209i \(-0.389370\pi\)
−0.175138 + 0.984544i \(0.556037\pi\)
\(740\) −4.41545 4.61284i −0.162315 0.169571i
\(741\) 9.85298 + 8.35245i 0.361958 + 0.306835i
\(742\) −2.95185 + 2.95185i −0.108366 + 0.108366i
\(743\) 7.15557 + 12.3938i 0.262512 + 0.454685i 0.966909 0.255122i \(-0.0821156\pi\)
−0.704396 + 0.709807i \(0.748782\pi\)
\(744\) 0.847320 0.489200i 0.0310643 0.0179350i
\(745\) −24.4550 14.8411i −0.895964 0.543736i
\(746\) 4.21782 4.21782i 0.154425 0.154425i
\(747\) 3.32780 + 1.92131i 0.121758 + 0.0702969i
\(748\) 1.16402 + 0.672050i 0.0425609 + 0.0245726i
\(749\) −12.8853 + 12.8853i −0.470818 + 0.470818i
\(750\) 9.29532 + 6.21265i 0.339417 + 0.226854i
\(751\) −24.7594 + 14.2948i −0.903482 + 0.521626i −0.878328 0.478058i \(-0.841341\pi\)
−0.0251540 + 0.999684i \(0.508008\pi\)
\(752\) 5.42532 + 9.39693i 0.197841 + 0.342671i
\(753\) −9.72025 + 9.72025i −0.354226 + 0.354226i
\(754\) 4.11566 + 11.4872i 0.149884 + 0.418338i
\(755\) −1.00242 + 45.8505i −0.0364818 + 1.66867i
\(756\) −1.84489 0.494337i −0.0670980 0.0179789i
\(757\) 6.19580 + 1.66016i 0.225190 + 0.0603395i 0.369650 0.929171i \(-0.379478\pi\)
−0.144460 + 0.989511i \(0.546144\pi\)
\(758\) 2.67271 + 9.97467i 0.0970771 + 0.362296i
\(759\) −1.03993 1.03993i −0.0377471 0.0377471i
\(760\) −4.15602 + 6.84825i −0.150755 + 0.248412i
\(761\) 9.47294 2.53827i 0.343394 0.0920121i −0.0830005 0.996550i \(-0.526450\pi\)
0.426394 + 0.904537i \(0.359784\pi\)
\(762\) 13.7209 0.497056
\(763\) 25.7833 6.90862i 0.933419 0.250109i
\(764\) 12.2705 + 21.2531i 0.443930 + 0.768909i
\(765\) −0.664926 1.21212i −0.0240405 0.0438244i
\(766\) 4.42893i 0.160024i
\(767\) 47.2603 + 22.3280i 1.70647 + 0.806216i
\(768\) −0.707107 0.707107i −0.0255155 0.0255155i
\(769\) −4.48417 + 16.7351i −0.161703 + 0.603485i 0.836735 + 0.547609i \(0.184462\pi\)