Properties

Label 189.2.bd.a.47.9
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.9
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877614 - 0.154747i) q^{2} +(-0.824649 + 1.52314i) q^{3} +(-1.13313 - 0.412424i) q^{4} +(-1.30288 - 0.474210i) q^{5} +(0.959425 - 1.20912i) q^{6} +(1.81190 - 1.92796i) q^{7} +(2.47415 + 1.42845i) q^{8} +(-1.63991 - 2.51211i) q^{9} +O(q^{10})\) \(q+(-0.877614 - 0.154747i) q^{2} +(-0.824649 + 1.52314i) q^{3} +(-1.13313 - 0.412424i) q^{4} +(-1.30288 - 0.474210i) q^{5} +(0.959425 - 1.20912i) q^{6} +(1.81190 - 1.92796i) q^{7} +(2.47415 + 1.42845i) q^{8} +(-1.63991 - 2.51211i) q^{9} +(1.07004 + 0.617790i) q^{10} +(-0.197926 - 0.543796i) q^{11} +(1.56261 - 1.38580i) q^{12} +(1.85992 - 5.11010i) q^{13} +(-1.88849 + 1.41162i) q^{14} +(1.79671 - 1.59341i) q^{15} +(-0.102835 - 0.0862885i) q^{16} +(1.15616 - 2.00253i) q^{17} +(1.05047 + 2.45844i) q^{18} +(2.96522 - 1.71197i) q^{19} +(1.28075 + 1.07468i) q^{20} +(1.44237 + 4.34966i) q^{21} +(0.0895514 + 0.507871i) q^{22} +(-6.58928 + 1.16187i) q^{23} +(-4.21603 + 2.59050i) q^{24} +(-2.35760 - 1.97826i) q^{25} +(-2.42307 + 4.19688i) q^{26} +(5.17864 - 0.426201i) q^{27} +(-2.84824 + 1.43735i) q^{28} +(-0.224543 - 0.616928i) q^{29} +(-1.82339 + 1.12037i) q^{30} +(0.595291 - 1.63555i) q^{31} +(-3.59586 - 4.28538i) q^{32} +(0.991496 + 0.146972i) q^{33} +(-1.32455 + 1.57853i) q^{34} +(-3.27494 + 1.65268i) q^{35} +(0.822168 + 3.52287i) q^{36} -1.08507 q^{37} +(-2.86724 + 1.04359i) q^{38} +(6.24961 + 7.04696i) q^{39} +(-2.54613 - 3.03436i) q^{40} +(-1.37400 - 0.500093i) q^{41} +(-0.592745 - 4.04053i) q^{42} +(-0.681623 + 3.86568i) q^{43} +0.697818i q^{44} +(0.945338 + 4.05064i) q^{45} +5.96264 q^{46} +(5.79174 - 2.10802i) q^{47} +(0.216232 - 0.0854738i) q^{48} +(-0.434042 - 6.98653i) q^{49} +(1.76293 + 2.10098i) q^{50} +(2.09670 + 3.41237i) q^{51} +(-4.21505 + 5.02331i) q^{52} +(-8.16395 + 4.71346i) q^{53} +(-4.61081 - 0.427340i) q^{54} +0.802359i q^{55} +(7.23690 - 2.18184i) q^{56} +(0.162305 + 5.92822i) q^{57} +(0.101595 + 0.576172i) q^{58} +(3.88097 - 3.25652i) q^{59} +(-2.69305 + 1.06453i) q^{60} +(4.62542 + 12.7082i) q^{61} +(-0.775532 + 1.34326i) q^{62} +(-7.81459 - 1.39002i) q^{63} +(2.62687 + 4.54987i) q^{64} +(-4.84652 + 5.77585i) q^{65} +(-0.847408 - 0.282416i) q^{66} +(-1.43047 - 8.11262i) q^{67} +(-2.13596 + 1.79229i) q^{68} +(3.66415 - 10.9945i) q^{69} +(3.12988 - 0.943626i) q^{70} +(13.6154 - 7.86086i) q^{71} +(-0.468953 - 8.55786i) q^{72} -2.39174i q^{73} +(0.952276 + 0.167912i) q^{74} +(4.95736 - 1.95958i) q^{75} +(-4.06603 + 0.716950i) q^{76} +(-1.40704 - 0.603711i) q^{77} +(-4.39425 - 7.15162i) q^{78} +(-0.465552 + 2.64028i) q^{79} +(0.0930623 + 0.161189i) q^{80} +(-3.62140 + 8.23926i) q^{81} +(1.12845 + 0.651511i) q^{82} +(11.2771 - 4.10455i) q^{83} +(0.159521 - 5.52358i) q^{84} +(-2.45595 + 2.06079i) q^{85} +(1.19640 - 3.28709i) q^{86} +(1.12484 + 0.166738i) q^{87} +(0.287088 - 1.62816i) q^{88} +(-5.91604 - 10.2469i) q^{89} +(-0.202817 - 3.70119i) q^{90} +(-6.48206 - 12.8448i) q^{91} +(7.94566 + 1.40103i) q^{92} +(2.00026 + 2.25547i) q^{93} +(-5.40912 + 0.953774i) q^{94} +(-4.67516 + 0.824357i) q^{95} +(9.49256 - 1.94307i) q^{96} +(-18.3532 - 3.23616i) q^{97} +(-0.700224 + 6.19865i) q^{98} +(-1.04150 + 1.38899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877614 0.154747i −0.620567 0.109423i −0.145480 0.989361i \(-0.546472\pi\)
−0.475087 + 0.879939i \(0.657584\pi\)
\(3\) −0.824649 + 1.52314i −0.476111 + 0.879385i
\(4\) −1.13313 0.412424i −0.566563 0.206212i
\(5\) −1.30288 0.474210i −0.582666 0.212073i 0.0338349 0.999427i \(-0.489228\pi\)
−0.616501 + 0.787354i \(0.711450\pi\)
\(6\) 0.959425 1.20912i 0.391684 0.493620i
\(7\) 1.81190 1.92796i 0.684834 0.728700i
\(8\) 2.47415 + 1.42845i 0.874743 + 0.505033i
\(9\) −1.63991 2.51211i −0.546636 0.837370i
\(10\) 1.07004 + 0.617790i 0.338377 + 0.195362i
\(11\) −0.197926 0.543796i −0.0596768 0.163961i 0.906271 0.422696i \(-0.138916\pi\)
−0.965948 + 0.258736i \(0.916694\pi\)
\(12\) 1.56261 1.38580i 0.451086 0.400047i
\(13\) 1.85992 5.11010i 0.515850 1.41729i −0.359203 0.933260i \(-0.616951\pi\)
0.875053 0.484027i \(-0.160826\pi\)
\(14\) −1.88849 + 1.41162i −0.504721 + 0.377271i
\(15\) 1.79671 1.59341i 0.463907 0.411417i
\(16\) −0.102835 0.0862885i −0.0257086 0.0215721i
\(17\) 1.15616 2.00253i 0.280410 0.485684i −0.691076 0.722782i \(-0.742863\pi\)
0.971486 + 0.237098i \(0.0761963\pi\)
\(18\) 1.05047 + 2.45844i 0.247597 + 0.579459i
\(19\) 2.96522 1.71197i 0.680269 0.392753i −0.119688 0.992812i \(-0.538189\pi\)
0.799956 + 0.600058i \(0.204856\pi\)
\(20\) 1.28075 + 1.07468i 0.286385 + 0.240305i
\(21\) 1.44237 + 4.34966i 0.314751 + 0.949174i
\(22\) 0.0895514 + 0.507871i 0.0190924 + 0.108279i
\(23\) −6.58928 + 1.16187i −1.37396 + 0.242266i −0.811400 0.584491i \(-0.801294\pi\)
−0.562559 + 0.826757i \(0.690183\pi\)
\(24\) −4.21603 + 2.59050i −0.860594 + 0.528784i
\(25\) −2.35760 1.97826i −0.471520 0.395652i
\(26\) −2.42307 + 4.19688i −0.475203 + 0.823076i
\(27\) 5.17864 0.426201i 0.996630 0.0820224i
\(28\) −2.84824 + 1.43735i −0.538268 + 0.271633i
\(29\) −0.224543 0.616928i −0.0416967 0.114561i 0.917097 0.398664i \(-0.130526\pi\)
−0.958794 + 0.284104i \(0.908304\pi\)
\(30\) −1.82339 + 1.12037i −0.332904 + 0.204550i
\(31\) 0.595291 1.63555i 0.106917 0.293753i −0.874684 0.484693i \(-0.838931\pi\)
0.981602 + 0.190940i \(0.0611535\pi\)
\(32\) −3.59586 4.28538i −0.635665 0.757556i
\(33\) 0.991496 + 0.146972i 0.172597 + 0.0255846i
\(34\) −1.32455 + 1.57853i −0.227158 + 0.270716i
\(35\) −3.27494 + 1.65268i −0.553566 + 0.279354i
\(36\) 0.822168 + 3.52287i 0.137028 + 0.587145i
\(37\) −1.08507 −0.178385 −0.0891925 0.996014i \(-0.528429\pi\)
−0.0891925 + 0.996014i \(0.528429\pi\)
\(38\) −2.86724 + 1.04359i −0.465128 + 0.169293i
\(39\) 6.24961 + 7.04696i 1.00074 + 1.12842i
\(40\) −2.54613 3.03436i −0.402579 0.479775i
\(41\) −1.37400 0.500093i −0.214582 0.0781015i 0.232492 0.972598i \(-0.425312\pi\)
−0.447074 + 0.894497i \(0.647534\pi\)
\(42\) −0.592745 4.04053i −0.0914626 0.623467i
\(43\) −0.681623 + 3.86568i −0.103947 + 0.589510i 0.887689 + 0.460443i \(0.152309\pi\)
−0.991636 + 0.129067i \(0.958802\pi\)
\(44\) 0.697818i 0.105200i
\(45\) 0.945338 + 4.05064i 0.140923 + 0.603834i
\(46\) 5.96264 0.879143
\(47\) 5.79174 2.10802i 0.844812 0.307486i 0.116889 0.993145i \(-0.462708\pi\)
0.727923 + 0.685659i \(0.240486\pi\)
\(48\) 0.216232 0.0854738i 0.0312104 0.0123371i
\(49\) −0.434042 6.98653i −0.0620060 0.998076i
\(50\) 1.76293 + 2.10098i 0.249316 + 0.297124i
\(51\) 2.09670 + 3.41237i 0.293597 + 0.477828i
\(52\) −4.21505 + 5.02331i −0.584523 + 0.696607i
\(53\) −8.16395 + 4.71346i −1.12141 + 0.647444i −0.941759 0.336288i \(-0.890829\pi\)
−0.179646 + 0.983731i \(0.557495\pi\)
\(54\) −4.61081 0.427340i −0.627451 0.0581536i
\(55\) 0.802359i 0.108190i
\(56\) 7.23690 2.18184i 0.967071 0.291561i
\(57\) 0.162305 + 5.92822i 0.0214979 + 0.785212i
\(58\) 0.101595 + 0.576172i 0.0133400 + 0.0756551i
\(59\) 3.88097 3.25652i 0.505259 0.423963i −0.354198 0.935171i \(-0.615246\pi\)
0.859457 + 0.511207i \(0.170802\pi\)
\(60\) −2.69305 + 1.06453i −0.347672 + 0.137430i
\(61\) 4.62542 + 12.7082i 0.592225 + 1.62712i 0.766366 + 0.642404i \(0.222063\pi\)
−0.174141 + 0.984721i \(0.555715\pi\)
\(62\) −0.775532 + 1.34326i −0.0984927 + 0.170594i
\(63\) −7.81459 1.39002i −0.984546 0.175126i
\(64\) 2.62687 + 4.54987i 0.328359 + 0.568734i
\(65\) −4.84652 + 5.77585i −0.601136 + 0.716407i
\(66\) −0.847408 0.282416i −0.104309 0.0347630i
\(67\) −1.43047 8.11262i −0.174760 0.991114i −0.938420 0.345496i \(-0.887711\pi\)
0.763660 0.645619i \(-0.223400\pi\)
\(68\) −2.13596 + 1.79229i −0.259024 + 0.217347i
\(69\) 3.66415 10.9945i 0.441112 1.32359i
\(70\) 3.12988 0.943626i 0.374093 0.112785i
\(71\) 13.6154 7.86086i 1.61585 0.932913i 0.627875 0.778314i \(-0.283925\pi\)
0.987977 0.154599i \(-0.0494085\pi\)
\(72\) −0.468953 8.55786i −0.0552666 1.00855i
\(73\) 2.39174i 0.279932i −0.990156 0.139966i \(-0.955301\pi\)
0.990156 0.139966i \(-0.0446994\pi\)
\(74\) 0.952276 + 0.167912i 0.110700 + 0.0195194i
\(75\) 4.95736 1.95958i 0.572427 0.226273i
\(76\) −4.06603 + 0.716950i −0.466405 + 0.0822398i
\(77\) −1.40704 0.603711i −0.160347 0.0687993i
\(78\) −4.39425 7.15162i −0.497551 0.809762i
\(79\) −0.465552 + 2.64028i −0.0523787 + 0.297054i −0.999732 0.0231347i \(-0.992635\pi\)
0.947354 + 0.320189i \(0.103746\pi\)
\(80\) 0.0930623 + 0.161189i 0.0104047 + 0.0180214i
\(81\) −3.62140 + 8.23926i −0.402378 + 0.915474i
\(82\) 1.12845 + 0.651511i 0.124616 + 0.0719473i
\(83\) 11.2771 4.10455i 1.23783 0.450532i 0.361556 0.932350i \(-0.382246\pi\)
0.876271 + 0.481818i \(0.160023\pi\)
\(84\) 0.159521 5.52358i 0.0174052 0.602672i
\(85\) −2.45595 + 2.06079i −0.266386 + 0.223524i
\(86\) 1.19640 3.28709i 0.129012 0.354456i
\(87\) 1.12484 + 0.166738i 0.120595 + 0.0178762i
\(88\) 0.287088 1.62816i 0.0306037 0.173562i
\(89\) −5.91604 10.2469i −0.627099 1.08617i −0.988131 0.153613i \(-0.950909\pi\)
0.361032 0.932553i \(-0.382424\pi\)
\(90\) −0.202817 3.70119i −0.0213788 0.390139i
\(91\) −6.48206 12.8448i −0.679505 1.34651i
\(92\) 7.94566 + 1.40103i 0.828392 + 0.146068i
\(93\) 2.00026 + 2.25547i 0.207418 + 0.233881i
\(94\) −5.40912 + 0.953774i −0.557908 + 0.0983743i
\(95\) −4.67516 + 0.824357i −0.479661 + 0.0845773i
\(96\) 9.49256 1.94307i 0.968830 0.198313i
\(97\) −18.3532 3.23616i −1.86348 0.328582i −0.875510 0.483201i \(-0.839474\pi\)
−0.987974 + 0.154618i \(0.950585\pi\)
\(98\) −0.700224 + 6.19865i −0.0707333 + 0.626158i
\(99\) −1.04150 + 1.38899i −0.104674 + 0.139598i
\(100\) 1.85557 + 3.21395i 0.185557 + 0.321395i
\(101\) 2.11473 11.9933i 0.210424 1.19337i −0.678249 0.734832i \(-0.737261\pi\)
0.888673 0.458542i \(-0.151628\pi\)
\(102\) −1.31204 3.31921i −0.129911 0.328650i
\(103\) −4.39540 + 12.0763i −0.433092 + 1.18991i 0.510813 + 0.859692i \(0.329345\pi\)
−0.943905 + 0.330218i \(0.892878\pi\)
\(104\) 11.9012 9.98633i 1.16701 0.979241i
\(105\) 0.183419 6.35107i 0.0178999 0.619801i
\(106\) 7.89420 2.87325i 0.766752 0.279075i
\(107\) 8.97631 + 5.18247i 0.867772 + 0.501009i 0.866607 0.498991i \(-0.166296\pi\)
0.00116512 + 0.999999i \(0.499629\pi\)
\(108\) −6.04383 1.65286i −0.581568 0.159046i
\(109\) 8.42552 + 14.5934i 0.807019 + 1.39780i 0.914920 + 0.403636i \(0.132254\pi\)
−0.107901 + 0.994162i \(0.534413\pi\)
\(110\) 0.124163 0.704162i 0.0118384 0.0671392i
\(111\) 0.894805 1.65272i 0.0849311 0.156869i
\(112\) −0.352686 + 0.0419147i −0.0333257 + 0.00396057i
\(113\) −20.0144 + 3.52907i −1.88279 + 0.331987i −0.992385 0.123174i \(-0.960693\pi\)
−0.890409 + 0.455162i \(0.849581\pi\)
\(114\) 0.774934 5.22781i 0.0725792 0.489629i
\(115\) 9.13601 + 1.61092i 0.851937 + 0.150220i
\(116\) 0.791664i 0.0735041i
\(117\) −15.8872 + 3.70776i −1.46878 + 0.342783i
\(118\) −3.90993 + 2.25740i −0.359939 + 0.207811i
\(119\) −1.76594 5.85740i −0.161884 0.536947i
\(120\) 6.72142 1.37583i 0.613579 0.125596i
\(121\) 8.16995 6.85540i 0.742723 0.623218i
\(122\) −2.09277 11.8687i −0.189471 1.07454i
\(123\) 1.89478 1.68039i 0.170846 0.151515i
\(124\) −1.34908 + 1.60777i −0.121151 + 0.144382i
\(125\) 5.59980 + 9.69914i 0.500861 + 0.867517i
\(126\) 6.64310 + 2.42918i 0.591814 + 0.216409i
\(127\) −0.987545 + 1.71048i −0.0876305 + 0.151780i −0.906509 0.422186i \(-0.861263\pi\)
0.818879 + 0.573967i \(0.194596\pi\)
\(128\) 2.22534 + 6.11406i 0.196694 + 0.540412i
\(129\) −5.32587 4.22603i −0.468916 0.372081i
\(130\) 5.14717 4.31899i 0.451437 0.378800i
\(131\) −0.387413 2.19713i −0.0338484 0.191964i 0.963195 0.268803i \(-0.0866282\pi\)
−0.997043 + 0.0768396i \(0.975517\pi\)
\(132\) −1.06287 0.575455i −0.0925113 0.0500869i
\(133\) 2.07207 8.81874i 0.179672 0.764682i
\(134\) 7.34111i 0.634176i
\(135\) −6.94926 1.90047i −0.598097 0.163567i
\(136\) 5.72102 3.30303i 0.490573 0.283233i
\(137\) −0.857163 + 1.02153i −0.0732323 + 0.0872749i −0.801417 0.598106i \(-0.795920\pi\)
0.728184 + 0.685381i \(0.240364\pi\)
\(138\) −4.91708 + 9.08193i −0.418570 + 0.773106i
\(139\) 9.79765 + 11.6764i 0.831026 + 0.990378i 0.999989 + 0.00475527i \(0.00151366\pi\)
−0.168963 + 0.985622i \(0.554042\pi\)
\(140\) 4.39252 0.522026i 0.371236 0.0441192i
\(141\) −1.56534 + 10.5600i −0.131825 + 0.889313i
\(142\) −13.1655 + 4.79186i −1.10483 + 0.402124i
\(143\) −3.14698 −0.263164
\(144\) −0.0481268 + 0.399837i −0.00401057 + 0.0333198i
\(145\) 0.910264i 0.0755933i
\(146\) −0.370115 + 2.09903i −0.0306310 + 0.173717i
\(147\) 10.9994 + 5.10033i 0.907215 + 0.420668i
\(148\) 1.22952 + 0.447510i 0.101066 + 0.0367851i
\(149\) 12.8138 + 15.2708i 1.04974 + 1.25104i 0.967084 + 0.254459i \(0.0818973\pi\)
0.0826605 + 0.996578i \(0.473658\pi\)
\(150\) −4.65389 + 0.952621i −0.379989 + 0.0777812i
\(151\) 2.71476 0.988092i 0.220924 0.0804098i −0.229187 0.973382i \(-0.573607\pi\)
0.450111 + 0.892973i \(0.351384\pi\)
\(152\) 9.78186 0.793414
\(153\) −6.92656 + 0.379561i −0.559980 + 0.0306857i
\(154\) 1.14141 + 0.747561i 0.0919777 + 0.0602401i
\(155\) −1.55119 + 1.84863i −0.124594 + 0.148486i
\(156\) −4.17526 10.5626i −0.334288 0.845683i
\(157\) 5.22143 + 6.22265i 0.416715 + 0.496622i 0.933041 0.359771i \(-0.117145\pi\)
−0.516326 + 0.856392i \(0.672701\pi\)
\(158\) 0.817150 2.24510i 0.0650090 0.178611i
\(159\) −0.446865 16.3218i −0.0354387 1.29440i
\(160\) 2.65281 + 7.28853i 0.209723 + 0.576209i
\(161\) −9.69908 + 14.8090i −0.764394 + 1.16712i
\(162\) 4.45319 6.67049i 0.349876 0.524084i
\(163\) 0.518631 0.898295i 0.0406223 0.0703599i −0.844999 0.534767i \(-0.820399\pi\)
0.885622 + 0.464407i \(0.153733\pi\)
\(164\) 1.35066 + 1.13334i 0.105469 + 0.0884987i
\(165\) −1.22210 0.661664i −0.0951407 0.0515105i
\(166\) −10.5322 + 1.85710i −0.817454 + 0.144139i
\(167\) 2.43922 + 13.8335i 0.188753 + 1.07047i 0.921038 + 0.389472i \(0.127342\pi\)
−0.732286 + 0.680998i \(0.761546\pi\)
\(168\) −2.64464 + 12.8221i −0.204039 + 0.989243i
\(169\) −12.6952 10.6526i −0.976556 0.819428i
\(170\) 2.47428 1.42853i 0.189769 0.109563i
\(171\) −9.16336 4.64149i −0.700739 0.354943i
\(172\) 2.36666 4.09918i 0.180456 0.312559i
\(173\) −4.48578 3.76401i −0.341047 0.286173i 0.456136 0.889910i \(-0.349233\pi\)
−0.797183 + 0.603737i \(0.793678\pi\)
\(174\) −0.961371 0.320397i −0.0728813 0.0242892i
\(175\) −8.08574 + 0.960943i −0.611224 + 0.0726405i
\(176\) −0.0265697 + 0.0729997i −0.00200277 + 0.00550256i
\(177\) 1.75970 + 8.59675i 0.132267 + 0.646171i
\(178\) 3.60632 + 9.90829i 0.270305 + 0.742658i
\(179\) 7.35936 + 4.24893i 0.550064 + 0.317580i 0.749148 0.662403i \(-0.230463\pi\)
−0.199084 + 0.979983i \(0.563797\pi\)
\(180\) 0.599394 4.97976i 0.0446762 0.371169i
\(181\) −5.00733 2.89098i −0.372192 0.214885i 0.302224 0.953237i \(-0.402271\pi\)
−0.674416 + 0.738352i \(0.735604\pi\)
\(182\) 3.70105 + 12.2759i 0.274340 + 0.909950i
\(183\) −23.1708 3.43468i −1.71283 0.253898i
\(184\) −17.9625 6.53782i −1.32421 0.481975i
\(185\) 1.41372 + 0.514552i 0.103939 + 0.0378306i
\(186\) −1.40643 2.28896i −0.103125 0.167835i
\(187\) −1.31780 0.232364i −0.0963670 0.0169921i
\(188\) −7.43216 −0.542046
\(189\) 8.56148 10.7564i 0.622756 0.782416i
\(190\) 4.23056 0.306917
\(191\) −23.4234 4.13019i −1.69486 0.298850i −0.758966 0.651130i \(-0.774295\pi\)
−0.935895 + 0.352280i \(0.885406\pi\)
\(192\) −9.09634 + 0.249043i −0.656472 + 0.0179731i
\(193\) 17.7806 + 6.47160i 1.27987 + 0.465836i 0.890390 0.455198i \(-0.150431\pi\)
0.389483 + 0.921034i \(0.372654\pi\)
\(194\) 15.6062 + 5.68020i 1.12046 + 0.407815i
\(195\) −4.80076 12.1450i −0.343789 0.869720i
\(196\) −2.38959 + 8.09562i −0.170685 + 0.578259i
\(197\) −9.22224 5.32447i −0.657058 0.379352i 0.134097 0.990968i \(-0.457187\pi\)
−0.791155 + 0.611616i \(0.790520\pi\)
\(198\) 1.12897 1.05783i 0.0802326 0.0751764i
\(199\) 8.68386 + 5.01363i 0.615582 + 0.355407i 0.775147 0.631781i \(-0.217676\pi\)
−0.159565 + 0.987187i \(0.551009\pi\)
\(200\) −3.00720 8.26223i −0.212641 0.584228i
\(201\) 13.5363 + 4.51125i 0.954776 + 0.318199i
\(202\) −3.71184 + 10.1982i −0.261164 + 0.717543i
\(203\) −1.59626 0.684901i −0.112036 0.0480706i
\(204\) −0.968482 4.73138i −0.0678073 0.331263i
\(205\) 1.55300 + 1.30312i 0.108466 + 0.0910141i
\(206\) 5.72624 9.91813i 0.398966 0.691029i
\(207\) 13.7246 + 14.6476i 0.953923 + 1.01808i
\(208\) −0.632207 + 0.365005i −0.0438357 + 0.0253085i
\(209\) −1.51786 1.27363i −0.104992 0.0880990i
\(210\) −1.14378 + 5.54541i −0.0789284 + 0.382670i
\(211\) −1.04018 5.89915i −0.0716089 0.406114i −0.999451 0.0331403i \(-0.989449\pi\)
0.927842 0.372974i \(-0.121662\pi\)
\(212\) 11.1947 1.97393i 0.768857 0.135570i
\(213\) 0.745257 + 27.2206i 0.0510642 + 1.86513i
\(214\) −7.07576 5.93727i −0.483689 0.405863i
\(215\) 2.72121 4.71328i 0.185585 0.321443i
\(216\) 13.4215 + 6.34295i 0.913220 + 0.431583i
\(217\) −2.07466 4.11115i −0.140837 0.279083i
\(218\) −5.13607 14.1112i −0.347858 0.955733i
\(219\) 3.64296 + 1.97235i 0.246168 + 0.133279i
\(220\) 0.330912 0.909173i 0.0223101 0.0612964i
\(221\) −8.08274 9.63264i −0.543704 0.647961i
\(222\) −1.04105 + 1.31198i −0.0698705 + 0.0880544i
\(223\) −3.68146 + 4.38739i −0.246528 + 0.293801i −0.875092 0.483957i \(-0.839199\pi\)
0.628563 + 0.777759i \(0.283643\pi\)
\(224\) −14.7774 0.832010i −0.987355 0.0555910i
\(225\) −1.10336 + 9.16672i −0.0735575 + 0.611115i
\(226\) 18.1110 1.20473
\(227\) 16.6154 6.04749i 1.10280 0.401386i 0.274452 0.961601i \(-0.411504\pi\)
0.828348 + 0.560214i \(0.189281\pi\)
\(228\) 2.26103 6.78436i 0.149740 0.449305i
\(229\) 8.82135 + 10.5129i 0.582932 + 0.694711i 0.974231 0.225553i \(-0.0724188\pi\)
−0.391299 + 0.920263i \(0.627974\pi\)
\(230\) −7.76861 2.82754i −0.512247 0.186443i
\(231\) 2.07985 1.64526i 0.136844 0.108250i
\(232\) 0.325697 1.84712i 0.0213831 0.121269i
\(233\) 9.14606i 0.599178i −0.954068 0.299589i \(-0.903150\pi\)
0.954068 0.299589i \(-0.0968496\pi\)
\(234\) 14.5166 0.795481i 0.948982 0.0520022i
\(235\) −8.54558 −0.557452
\(236\) −5.74069 + 2.08944i −0.373687 + 0.136011i
\(237\) −3.63759 2.88640i −0.236287 0.187492i
\(238\) 0.643400 + 5.41381i 0.0417054 + 0.350925i
\(239\) 1.62286 + 1.93405i 0.104974 + 0.125103i 0.815973 0.578089i \(-0.196202\pi\)
−0.710999 + 0.703193i \(0.751757\pi\)
\(240\) −0.322257 + 0.00882287i −0.0208016 + 0.000569514i
\(241\) 4.62353 5.51011i 0.297828 0.354938i −0.596290 0.802769i \(-0.703359\pi\)
0.894118 + 0.447832i \(0.147804\pi\)
\(242\) −8.23092 + 4.75212i −0.529103 + 0.305478i
\(243\) −9.56317 12.3104i −0.613477 0.789712i
\(244\) 16.3077i 1.04399i
\(245\) −2.74758 + 9.30844i −0.175536 + 0.594694i
\(246\) −1.92292 + 1.18152i −0.122601 + 0.0753309i
\(247\) −3.23326 18.3367i −0.205727 1.16674i
\(248\) 3.80914 3.19625i 0.241880 0.202962i
\(249\) −3.04789 + 20.5615i −0.193152 + 1.30303i
\(250\) −3.41355 9.37865i −0.215892 0.593158i
\(251\) 0.469593 0.813359i 0.0296405 0.0513388i −0.850825 0.525450i \(-0.823897\pi\)
0.880465 + 0.474111i \(0.157230\pi\)
\(252\) 8.28163 + 4.79799i 0.521694 + 0.302245i
\(253\) 1.93601 + 3.35326i 0.121716 + 0.210818i
\(254\) 1.13138 1.34832i 0.0709888 0.0846012i
\(255\) −1.11357 5.44019i −0.0697346 0.340678i
\(256\) −2.83146 16.0580i −0.176966 1.00363i
\(257\) 15.0111 12.5958i 0.936364 0.785703i −0.0405849 0.999176i \(-0.512922\pi\)
0.976949 + 0.213473i \(0.0684777\pi\)
\(258\) 4.02009 + 4.53299i 0.250280 + 0.282212i
\(259\) −1.96604 + 2.09198i −0.122164 + 0.129989i
\(260\) 7.87381 4.54595i 0.488313 0.281928i
\(261\) −1.18156 + 1.57578i −0.0731368 + 0.0975386i
\(262\) 1.98818i 0.122830i
\(263\) −11.7453 2.07102i −0.724247 0.127704i −0.200641 0.979665i \(-0.564302\pi\)
−0.523606 + 0.851961i \(0.675414\pi\)
\(264\) 2.24316 + 1.77993i 0.138057 + 0.109547i
\(265\) 12.8718 2.26965i 0.790710 0.139423i
\(266\) −3.18316 + 7.41881i −0.195172 + 0.454876i
\(267\) 20.4861 0.560876i 1.25373 0.0343251i
\(268\) −1.72493 + 9.78258i −0.105367 + 0.597566i
\(269\) 8.21836 + 14.2346i 0.501082 + 0.867900i 0.999999 + 0.00125014i \(0.000397931\pi\)
−0.498917 + 0.866650i \(0.666269\pi\)
\(270\) 5.80468 + 2.74326i 0.353261 + 0.166950i
\(271\) −12.7971 7.38840i −0.777367 0.448813i 0.0581291 0.998309i \(-0.481487\pi\)
−0.835496 + 0.549496i \(0.814820\pi\)
\(272\) −0.291688 + 0.106166i −0.0176862 + 0.00643725i
\(273\) 24.9099 + 0.719399i 1.50762 + 0.0435400i
\(274\) 0.910336 0.763863i 0.0549954 0.0461466i
\(275\) −0.609141 + 1.67360i −0.0367326 + 0.100922i
\(276\) −8.68635 + 10.9470i −0.522857 + 0.658931i
\(277\) 4.81322 27.2971i 0.289199 1.64013i −0.400692 0.916213i \(-0.631230\pi\)
0.689890 0.723914i \(-0.257659\pi\)
\(278\) −6.79167 11.7635i −0.407337 0.705529i
\(279\) −5.08490 + 1.18671i −0.304425 + 0.0710467i
\(280\) −10.4635 0.589124i −0.625311 0.0352069i
\(281\) 6.13171 + 1.08119i 0.365787 + 0.0644981i 0.353521 0.935427i \(-0.384984\pi\)
0.0122663 + 0.999925i \(0.496095\pi\)
\(282\) 3.00789 9.02538i 0.179118 0.537453i
\(283\) 5.40960 0.953859i 0.321567 0.0567010i −0.0105345 0.999945i \(-0.503353\pi\)
0.332102 + 0.943243i \(0.392242\pi\)
\(284\) −18.6700 + 3.29202i −1.10786 + 0.195345i
\(285\) 2.59976 7.80073i 0.153996 0.462075i
\(286\) 2.76183 + 0.486986i 0.163311 + 0.0287961i
\(287\) −3.45370 + 1.74289i −0.203865 + 0.102879i
\(288\) −4.86847 + 16.0608i −0.286877 + 0.946394i
\(289\) 5.82659 + 10.0920i 0.342741 + 0.593644i
\(290\) 0.140861 0.798861i 0.00827162 0.0469107i
\(291\) 20.0641 25.2858i 1.17618 1.48228i
\(292\) −0.986412 + 2.71015i −0.0577254 + 0.158599i
\(293\) −17.8320 + 14.9629i −1.04176 + 0.874140i −0.992203 0.124632i \(-0.960225\pi\)
−0.0495561 + 0.998771i \(0.515781\pi\)
\(294\) −8.86396 6.17824i −0.516957 0.360323i
\(295\) −6.60071 + 2.40246i −0.384308 + 0.139877i
\(296\) −2.68463 1.54997i −0.156041 0.0900904i
\(297\) −1.25675 2.73177i −0.0729242 0.158513i
\(298\) −8.88242 15.3848i −0.514545 0.891218i
\(299\) −6.31830 + 35.8329i −0.365397 + 2.07227i
\(300\) −6.42549 + 0.175920i −0.370976 + 0.0101567i
\(301\) 6.21783 + 8.31836i 0.358390 + 0.479462i
\(302\) −2.53542 + 0.447062i −0.145897 + 0.0257255i
\(303\) 16.5235 + 13.1113i 0.949250 + 0.753222i
\(304\) −0.452651 0.0798145i −0.0259613 0.00457768i
\(305\) 18.7507i 1.07366i
\(306\) 6.13759 + 0.738757i 0.350863 + 0.0422319i
\(307\) −15.1010 + 8.71859i −0.861862 + 0.497596i −0.864635 0.502400i \(-0.832451\pi\)
0.00277334 + 0.999996i \(0.499117\pi\)
\(308\) 1.34536 + 1.26438i 0.0766592 + 0.0720445i
\(309\) −14.7692 16.6535i −0.840189 0.947384i
\(310\) 1.64741 1.38234i 0.0935668 0.0785118i
\(311\) 0.262128 + 1.48660i 0.0148639 + 0.0842975i 0.991337 0.131340i \(-0.0419281\pi\)
−0.976473 + 0.215638i \(0.930817\pi\)
\(312\) 5.39623 + 26.3625i 0.305501 + 1.49248i
\(313\) 18.7170 22.3060i 1.05794 1.26081i 0.0937550 0.995595i \(-0.470113\pi\)
0.964190 0.265214i \(-0.0854426\pi\)
\(314\) −3.61946 6.26909i −0.204258 0.353785i
\(315\) 9.52232 + 5.51678i 0.536522 + 0.310835i
\(316\) 1.61644 2.79976i 0.0909320 0.157499i
\(317\) −10.3980 28.5684i −0.584013 1.60456i −0.781259 0.624207i \(-0.785422\pi\)
0.197246 0.980354i \(-0.436800\pi\)
\(318\) −2.13357 + 14.3934i −0.119645 + 0.807141i
\(319\) −0.291040 + 0.244212i −0.0162951 + 0.0136732i
\(320\) −1.26490 7.17363i −0.0707103 0.401018i
\(321\) −15.2959 + 9.39845i −0.853736 + 0.524570i
\(322\) 10.8037 11.4957i 0.602067 0.640631i
\(323\) 7.91725i 0.440527i
\(324\) 7.50157 7.84257i 0.416754 0.435698i
\(325\) −14.4941 + 8.36816i −0.803987 + 0.464182i
\(326\) −0.594166 + 0.708100i −0.0329078 + 0.0392180i
\(327\) −29.1759 + 0.798790i −1.61343 + 0.0441732i
\(328\) −2.68511 3.19999i −0.148260 0.176690i
\(329\) 6.42987 14.9857i 0.354490 0.826191i
\(330\) 0.970146 + 0.769803i 0.0534048 + 0.0423763i
\(331\) 26.5955 9.67996i 1.46182 0.532059i 0.515954 0.856617i \(-0.327438\pi\)
0.945866 + 0.324558i \(0.105215\pi\)
\(332\) −14.4712 −0.794212
\(333\) 1.77942 + 2.72583i 0.0975117 + 0.149374i
\(334\) 12.5180i 0.684952i
\(335\) −1.98335 + 11.2481i −0.108362 + 0.614550i
\(336\) 0.227000 0.571756i 0.0123839 0.0311918i
\(337\) 7.63576 + 2.77919i 0.415946 + 0.151392i 0.541512 0.840693i \(-0.317852\pi\)
−0.125565 + 0.992085i \(0.540074\pi\)
\(338\) 9.49306 + 11.3134i 0.516355 + 0.615367i
\(339\) 11.1296 33.3949i 0.604475 1.81376i
\(340\) 3.63282 1.32224i 0.197017 0.0717085i
\(341\) −1.00723 −0.0545445
\(342\) 7.32363 + 5.49144i 0.396017 + 0.296943i
\(343\) −14.2562 11.8221i −0.769761 0.638332i
\(344\) −7.20836 + 8.59059i −0.388649 + 0.463174i
\(345\) −9.98766 + 12.5870i −0.537718 + 0.677660i
\(346\) 3.35431 + 3.99751i 0.180329 + 0.214908i
\(347\) −4.70885 + 12.9375i −0.252784 + 0.694519i 0.746782 + 0.665069i \(0.231598\pi\)
−0.999566 + 0.0294501i \(0.990624\pi\)
\(348\) −1.20581 0.652845i −0.0646384 0.0349961i
\(349\) −0.460133 1.26420i −0.0246303 0.0676713i 0.926768 0.375634i \(-0.122575\pi\)
−0.951398 + 0.307963i \(0.900353\pi\)
\(350\) 7.24486 + 0.407907i 0.387254 + 0.0218036i
\(351\) 7.45396 27.2561i 0.397863 1.45482i
\(352\) −1.61866 + 2.80360i −0.0862749 + 0.149432i
\(353\) −12.0674 10.1257i −0.642281 0.538938i 0.262436 0.964949i \(-0.415474\pi\)
−0.904718 + 0.426011i \(0.859918\pi\)
\(354\) −0.214015 7.81694i −0.0113748 0.415466i
\(355\) −21.4669 + 3.78520i −1.13935 + 0.200898i
\(356\) 2.47755 + 14.0509i 0.131310 + 0.744697i
\(357\) 10.3779 + 2.14052i 0.549258 + 0.113289i
\(358\) −5.80117 4.86776i −0.306601 0.257269i
\(359\) 25.9575 14.9866i 1.36999 0.790962i 0.379060 0.925372i \(-0.376247\pi\)
0.990926 + 0.134411i \(0.0429141\pi\)
\(360\) −3.44723 + 11.3722i −0.181685 + 0.599370i
\(361\) −3.63831 + 6.30173i −0.191490 + 0.331670i
\(362\) 3.94713 + 3.31204i 0.207457 + 0.174077i
\(363\) 3.70439 + 18.0973i 0.194430 + 0.949860i
\(364\) 2.04747 + 17.2282i 0.107316 + 0.903002i
\(365\) −1.13419 + 3.11616i −0.0593661 + 0.163107i
\(366\) 19.8035 + 6.59993i 1.03515 + 0.344984i
\(367\) 1.63420 + 4.48993i 0.0853046 + 0.234372i 0.975009 0.222164i \(-0.0713120\pi\)
−0.889705 + 0.456536i \(0.849090\pi\)
\(368\) 0.777862 + 0.449099i 0.0405488 + 0.0234109i
\(369\) 0.996937 + 4.27174i 0.0518985 + 0.222378i
\(370\) −1.16108 0.670348i −0.0603615 0.0348497i
\(371\) −5.70491 + 24.2801i −0.296184 + 1.26056i
\(372\) −1.33634 3.38068i −0.0692861 0.175280i
\(373\) −12.9963 4.73027i −0.672923 0.244924i −0.0171173 0.999853i \(-0.505449\pi\)
−0.655806 + 0.754929i \(0.727671\pi\)
\(374\) 1.12056 + 0.407851i 0.0579429 + 0.0210895i
\(375\) −19.3910 + 0.530895i −1.00135 + 0.0274153i
\(376\) 17.3408 + 3.05765i 0.894284 + 0.157686i
\(377\) −3.57020 −0.183875
\(378\) −9.17821 + 8.11514i −0.472076 + 0.417398i
\(379\) −8.84194 −0.454180 −0.227090 0.973874i \(-0.572921\pi\)
−0.227090 + 0.973874i \(0.572921\pi\)
\(380\) 5.63753 + 0.994048i 0.289199 + 0.0509936i
\(381\) −1.79092 2.91471i −0.0917516 0.149325i
\(382\) 19.9176 + 7.24942i 1.01907 + 0.370913i
\(383\) 28.2722 + 10.2902i 1.44464 + 0.525807i 0.941089 0.338158i \(-0.109804\pi\)
0.503552 + 0.863965i \(0.332026\pi\)
\(384\) −11.1477 1.65246i −0.568878 0.0843265i
\(385\) 1.54691 + 1.45379i 0.0788380 + 0.0740922i
\(386\) −14.6030 8.43106i −0.743274 0.429130i
\(387\) 10.8288 4.62704i 0.550459 0.235206i
\(388\) 19.4618 + 11.2363i 0.988023 + 0.570435i
\(389\) 3.38182 + 9.29147i 0.171465 + 0.471096i 0.995424 0.0955526i \(-0.0304618\pi\)
−0.823959 + 0.566649i \(0.808240\pi\)
\(390\) 2.33381 + 11.4015i 0.118177 + 0.577338i
\(391\) −5.29159 + 14.5385i −0.267607 + 0.735244i
\(392\) 8.90602 17.9057i 0.449822 0.904375i
\(393\) 3.66601 + 1.22177i 0.184926 + 0.0616303i
\(394\) 7.26963 + 6.09994i 0.366239 + 0.307311i
\(395\) 1.85860 3.21920i 0.0935165 0.161975i
\(396\) 1.75300 1.14436i 0.0880914 0.0575061i
\(397\) 9.95052 5.74493i 0.499402 0.288330i −0.229064 0.973411i \(-0.573567\pi\)
0.728467 + 0.685081i \(0.240233\pi\)
\(398\) −6.84523 5.74383i −0.343121 0.287912i
\(399\) 11.7234 + 10.4284i 0.586906 + 0.522074i
\(400\) 0.0717417 + 0.406867i 0.00358709 + 0.0203434i
\(401\) −16.2345 + 2.86258i −0.810713 + 0.142951i −0.563612 0.826039i \(-0.690589\pi\)
−0.247100 + 0.968990i \(0.579478\pi\)
\(402\) −11.1815 6.05384i −0.557685 0.301938i
\(403\) −7.25062 6.08400i −0.361179 0.303065i
\(404\) −7.34256 + 12.7177i −0.365306 + 0.632729i
\(405\) 8.62539 9.01747i 0.428599 0.448082i
\(406\) 1.29492 + 0.848096i 0.0642656 + 0.0420903i
\(407\) 0.214764 + 0.590059i 0.0106454 + 0.0292481i
\(408\) 0.313147 + 11.4377i 0.0155031 + 0.566253i
\(409\) 3.12161 8.57657i 0.154354 0.424084i −0.838279 0.545241i \(-0.816438\pi\)
0.992633 + 0.121157i \(0.0386604\pi\)
\(410\) −1.16128 1.38396i −0.0573516 0.0683490i
\(411\) −0.849070 2.14798i −0.0418815 0.105952i
\(412\) 9.96108 11.8712i 0.490747 0.584850i
\(413\) 0.753493 13.3828i 0.0370770 0.658526i
\(414\) −9.77819 14.9788i −0.480572 0.736169i
\(415\) −16.6392 −0.816786
\(416\) −28.5868 + 10.4047i −1.40158 + 0.510134i
\(417\) −25.8644 + 5.29427i −1.26658 + 0.259262i
\(418\) 1.13500 + 1.35264i 0.0555147 + 0.0661599i
\(419\) 27.5287 + 10.0196i 1.34487 + 0.489492i 0.911342 0.411650i \(-0.135047\pi\)
0.433525 + 0.901142i \(0.357270\pi\)
\(420\) −2.82717 + 7.12092i −0.137952 + 0.347465i
\(421\) 2.05835 11.6735i 0.100318 0.568930i −0.892670 0.450711i \(-0.851171\pi\)
0.992988 0.118219i \(-0.0377184\pi\)
\(422\) 5.33814i 0.259857i
\(423\) −14.7935 11.0925i −0.719285 0.539337i
\(424\) −26.9318 −1.30792
\(425\) −6.68728 + 2.43397i −0.324381 + 0.118065i
\(426\) 3.55826 24.0045i 0.172398 1.16302i
\(427\) 32.8818 + 14.1084i 1.59126 + 0.682756i
\(428\) −8.03390 9.57443i −0.388333 0.462798i
\(429\) 2.59515 4.79329i 0.125295 0.231422i
\(430\) −3.11754 + 3.71534i −0.150341 + 0.179170i
\(431\) 10.4044 6.00699i 0.501163 0.289347i −0.228031 0.973654i \(-0.573229\pi\)
0.729194 + 0.684307i \(0.239895\pi\)
\(432\) −0.569320 0.403029i −0.0273914 0.0193907i
\(433\) 1.86378i 0.0895673i −0.998997 0.0447837i \(-0.985740\pi\)
0.998997 0.0447837i \(-0.0142599\pi\)
\(434\) 1.18456 + 3.92905i 0.0568609 + 0.188600i
\(435\) −1.38646 0.750648i −0.0664756 0.0359908i
\(436\) −3.52849 20.0111i −0.168984 0.958356i
\(437\) −17.5496 + 14.7259i −0.839511 + 0.704433i
\(438\) −2.89190 2.29470i −0.138180 0.109645i
\(439\) 8.93164 + 24.5395i 0.426284 + 1.17121i 0.948051 + 0.318118i \(0.103051\pi\)
−0.521767 + 0.853088i \(0.674727\pi\)
\(440\) −1.14613 + 1.98515i −0.0546396 + 0.0946385i
\(441\) −16.8391 + 12.5476i −0.801864 + 0.597506i
\(442\) 5.60291 + 9.70452i 0.266503 + 0.461597i
\(443\) −5.03219 + 5.99713i −0.239086 + 0.284932i −0.872223 0.489108i \(-0.837323\pi\)
0.633137 + 0.774040i \(0.281767\pi\)
\(444\) −1.69555 + 1.50370i −0.0804671 + 0.0713624i
\(445\) 2.84872 + 16.1559i 0.135042 + 0.765863i
\(446\) 3.90983 3.28074i 0.185136 0.155348i
\(447\) −33.8265 + 6.92406i −1.59994 + 0.327497i
\(448\) 13.5316 + 3.17942i 0.639308 + 0.150213i
\(449\) 2.53492 1.46354i 0.119630 0.0690687i −0.438991 0.898492i \(-0.644664\pi\)
0.558621 + 0.829423i \(0.311331\pi\)
\(450\) 2.38685 7.87410i 0.112517 0.371189i
\(451\) 0.846154i 0.0398438i
\(452\) 24.1343 + 4.25552i 1.13518 + 0.200163i
\(453\) −0.733722 + 4.94979i −0.0344733 + 0.232561i
\(454\) −15.5177 + 2.73619i −0.728282 + 0.128416i
\(455\) 2.35420 + 19.8091i 0.110367 + 0.928667i
\(456\) −8.06660 + 14.8991i −0.377753 + 0.697716i
\(457\) −4.27552 + 24.2477i −0.200001 + 1.13426i 0.705115 + 0.709093i \(0.250895\pi\)
−0.905115 + 0.425166i \(0.860216\pi\)
\(458\) −6.11491 10.5913i −0.285731 0.494900i
\(459\) 5.13386 10.8631i 0.239628 0.507047i
\(460\) −9.68786 5.59329i −0.451699 0.260788i
\(461\) 35.5416 12.9361i 1.65534 0.602493i 0.665717 0.746204i \(-0.268126\pi\)
0.989620 + 0.143711i \(0.0459036\pi\)
\(462\) −2.07990 + 1.12206i −0.0967659 + 0.0522028i
\(463\) −8.27501 + 6.94356i −0.384572 + 0.322695i −0.814494 0.580171i \(-0.802986\pi\)
0.429922 + 0.902866i \(0.358541\pi\)
\(464\) −0.0301429 + 0.0828171i −0.00139935 + 0.00384469i
\(465\) −1.53654 3.88714i −0.0712553 0.180262i
\(466\) −1.41533 + 8.02671i −0.0655637 + 0.371830i
\(467\) −14.5184 25.1467i −0.671833 1.16365i −0.977384 0.211473i \(-0.932174\pi\)
0.305550 0.952176i \(-0.401160\pi\)
\(468\) 19.5314 + 2.35092i 0.902840 + 0.108671i
\(469\) −18.2327 11.9414i −0.841906 0.551401i
\(470\) 7.49973 + 1.32240i 0.345937 + 0.0609979i
\(471\) −13.7838 + 2.82146i −0.635124 + 0.130006i
\(472\) 14.2539 2.51334i 0.656088 0.115686i
\(473\) 2.23705 0.394452i 0.102860 0.0181369i
\(474\) 2.74574 + 3.09606i 0.126116 + 0.142207i
\(475\) −10.3775 1.82984i −0.476154 0.0839588i
\(476\) −0.414699 + 7.36549i −0.0190077 + 0.337597i
\(477\) 25.2289 + 12.7791i 1.15515 + 0.585115i
\(478\) −1.12496 1.94848i −0.0514543 0.0891215i
\(479\) −2.36831 + 13.4313i −0.108211 + 0.613694i 0.881678 + 0.471851i \(0.156414\pi\)
−0.989889 + 0.141843i \(0.954697\pi\)
\(480\) −13.2891 1.96988i −0.606561 0.0899123i
\(481\) −2.01816 + 5.54484i −0.0920200 + 0.252823i
\(482\) −4.91035 + 4.12027i −0.223660 + 0.187673i
\(483\) −14.5579 26.9853i −0.662407 1.22787i
\(484\) −12.0849 + 4.39855i −0.549314 + 0.199934i
\(485\) 22.3774 + 12.9196i 1.01610 + 0.586648i
\(486\) 6.48777 + 12.2837i 0.294291 + 0.557198i
\(487\) 16.0866 + 27.8628i 0.728954 + 1.26259i 0.957325 + 0.289012i \(0.0933267\pi\)
−0.228371 + 0.973574i \(0.573340\pi\)
\(488\) −6.70911 + 38.0493i −0.303707 + 1.72241i
\(489\) 0.940540 + 1.53072i 0.0425327 + 0.0692218i
\(490\) 3.85176 7.74404i 0.174005 0.349840i
\(491\) 24.2362 4.27350i 1.09377 0.192860i 0.402470 0.915433i \(-0.368152\pi\)
0.691295 + 0.722573i \(0.257041\pi\)
\(492\) −2.84005 + 1.12264i −0.128039 + 0.0506123i
\(493\) −1.49502 0.263613i −0.0673324 0.0118725i
\(494\) 16.5929i 0.746550i
\(495\) 2.01561 1.31580i 0.0905951 0.0591406i
\(496\) −0.202346 + 0.116824i −0.00908558 + 0.00524556i
\(497\) 9.51435 40.4930i 0.426777 1.81636i
\(498\) 5.85670 17.5734i 0.262445 0.787483i
\(499\) −20.0623 + 16.8343i −0.898114 + 0.753607i −0.969821 0.243819i \(-0.921600\pi\)
0.0717071 + 0.997426i \(0.477155\pi\)
\(500\) −2.34512 13.2998i −0.104877 0.594786i
\(501\) −23.0819 7.69252i −1.03122 0.343676i
\(502\) −0.537987 + 0.641148i −0.0240115 + 0.0286158i
\(503\) −3.69643 6.40240i −0.164815 0.285469i 0.771774 0.635897i \(-0.219370\pi\)
−0.936590 + 0.350428i \(0.886036\pi\)
\(504\) −17.3489 14.6019i −0.772781 0.650418i
\(505\) −8.44256 + 14.6229i −0.375689 + 0.650713i
\(506\) −1.18016 3.24246i −0.0524645 0.144145i
\(507\) 26.6945 10.5520i 1.18554 0.468630i
\(508\) 1.82445 1.53090i 0.0809471 0.0679227i
\(509\) −2.79269 15.8381i −0.123784 0.702013i −0.982023 0.188763i \(-0.939552\pi\)
0.858239 0.513251i \(-0.171559\pi\)
\(510\) 0.135433 + 4.94671i 0.00599707 + 0.219044i
\(511\) −4.61118 4.33360i −0.203987 0.191707i
\(512\) 1.51799i 0.0670865i
\(513\) 14.6262 10.1295i 0.645762 0.447227i
\(514\) −15.1231 + 8.73131i −0.667050 + 0.385122i
\(515\) 11.4534 13.6496i 0.504696 0.601473i
\(516\) 4.29196 + 6.98514i 0.188943 + 0.307504i
\(517\) −2.29267 2.73229i −0.100831 0.120166i
\(518\) 2.04916 1.53171i 0.0900348 0.0672994i
\(519\) 9.43231 3.72848i 0.414032 0.163662i
\(520\) −20.2415 + 7.36731i −0.887649 + 0.323078i
\(521\) 16.9295 0.741693 0.370847 0.928694i \(-0.379068\pi\)
0.370847 + 0.928694i \(0.379068\pi\)
\(522\) 1.28080 1.20009i 0.0560592 0.0525264i
\(523\) 10.0732i 0.440472i −0.975447 0.220236i \(-0.929317\pi\)
0.975447 0.220236i \(-0.0706827\pi\)
\(524\) −0.467160 + 2.64940i −0.0204080 + 0.115739i
\(525\) 5.20425 13.1082i 0.227132 0.572087i
\(526\) 9.98737 + 3.63511i 0.435470 + 0.158498i
\(527\) −2.58698 3.08304i −0.112691 0.134299i
\(528\) −0.0892781 0.100669i −0.00388533 0.00438104i
\(529\) 20.4557 7.44528i 0.889380 0.323708i
\(530\) −11.6477 −0.505944
\(531\) −14.5452 4.40903i −0.631207 0.191336i
\(532\) −5.98498 + 9.13817i −0.259482 + 0.396190i
\(533\) −5.11105 + 6.09112i −0.221384 + 0.263836i
\(534\) −18.0657 2.67793i −0.781778 0.115885i
\(535\) −9.23747 11.0088i −0.399371 0.475952i
\(536\) 8.04927 22.1152i 0.347675 0.955230i
\(537\) −12.5406 + 7.70546i −0.541167 + 0.332515i
\(538\) −5.00978 13.7643i −0.215987 0.593420i
\(539\) −3.71334 + 1.61884i −0.159945 + 0.0697285i
\(540\) 7.09058 + 5.01951i 0.305130 + 0.216006i
\(541\) 9.39785 16.2776i 0.404045 0.699827i −0.590165 0.807283i \(-0.700937\pi\)
0.994210 + 0.107456i \(0.0342705\pi\)
\(542\) 10.0876 + 8.46448i 0.433298 + 0.363580i
\(543\) 8.53266 5.24282i 0.366172 0.224991i
\(544\) −12.7390 + 2.24623i −0.546179 + 0.0963062i
\(545\) −4.05710 23.0090i −0.173787 0.985595i
\(546\) −21.7500 4.48609i −0.930813 0.191987i
\(547\) −9.76636 8.19495i −0.417579 0.350391i 0.409662 0.912237i \(-0.365647\pi\)
−0.827241 + 0.561847i \(0.810091\pi\)
\(548\) 1.39257 0.804003i 0.0594878 0.0343453i
\(549\) 24.3393 32.4599i 1.03877 1.38536i
\(550\) 0.793576 1.37451i 0.0338382 0.0586095i
\(551\) −1.72198 1.44492i −0.0733590 0.0615555i
\(552\) 24.7708 21.9680i 1.05431 0.935021i
\(553\) 4.24681 + 5.68148i 0.180593 + 0.241601i
\(554\) −8.44831 + 23.2115i −0.358934 + 0.986164i
\(555\) −1.94956 + 1.72897i −0.0827542 + 0.0733907i
\(556\) −6.28634 17.2716i −0.266600 0.732478i
\(557\) 23.6502 + 13.6544i 1.00209 + 0.578557i 0.908866 0.417089i \(-0.136950\pi\)
0.0932236 + 0.995645i \(0.470283\pi\)
\(558\) 4.64622 0.254603i 0.196690 0.0107782i
\(559\) 18.4862 + 10.6730i 0.781884 + 0.451421i
\(560\) 0.479384 + 0.112637i 0.0202577 + 0.00475980i
\(561\) 1.44064 1.81557i 0.0608240 0.0766536i
\(562\) −5.21397 1.89773i −0.219938 0.0800508i
\(563\) 22.1420 + 8.05901i 0.933172 + 0.339647i 0.763466 0.645848i \(-0.223496\pi\)
0.169706 + 0.985495i \(0.445718\pi\)
\(564\) 6.12892 11.3202i 0.258074 0.476667i
\(565\) 27.7498 + 4.89305i 1.16744 + 0.205852i
\(566\) −4.89515 −0.205759
\(567\) 9.32334 + 21.9106i 0.391544 + 0.920160i
\(568\) 44.9154 1.88461
\(569\) −13.0318 2.29786i −0.546321 0.0963312i −0.106326 0.994331i \(-0.533909\pi\)
−0.439995 + 0.898000i \(0.645020\pi\)
\(570\) −3.48872 + 6.44373i −0.146127 + 0.269898i
\(571\) −6.22715 2.26650i −0.260598 0.0948499i 0.208417 0.978040i \(-0.433169\pi\)
−0.469015 + 0.883190i \(0.655391\pi\)
\(572\) 3.56592 + 1.29789i 0.149099 + 0.0542675i
\(573\) 25.6070 32.2712i 1.06975 1.34815i
\(574\) 3.30072 0.995132i 0.137770 0.0415360i
\(575\) 17.8334 + 10.2961i 0.743703 + 0.429377i
\(576\) 7.12196 14.0604i 0.296748 0.585849i
\(577\) −1.30013 0.750628i −0.0541249 0.0312490i 0.472693 0.881227i \(-0.343282\pi\)
−0.526818 + 0.849978i \(0.676615\pi\)
\(578\) −3.55180 9.75849i −0.147735 0.405900i
\(579\) −24.5199 + 21.7455i −1.01901 + 0.903712i
\(580\) 0.375415 1.03144i 0.0155882 0.0428283i
\(581\) 12.5197 29.1789i 0.519403 1.21054i
\(582\) −21.5214 + 19.0863i −0.892091 + 0.791152i
\(583\) 4.17902 + 3.50661i 0.173077 + 0.145229i
\(584\) 3.41649 5.91753i 0.141375 0.244869i
\(585\) 22.4574 + 2.70311i 0.928500 + 0.111760i
\(586\) 17.9651 10.3722i 0.742132 0.428470i
\(587\) 2.83790 + 2.38128i 0.117133 + 0.0982861i 0.699473 0.714659i \(-0.253418\pi\)
−0.582340 + 0.812945i \(0.697863\pi\)
\(588\) −10.3602 10.3157i −0.427247 0.425413i
\(589\) −1.03484 5.86889i −0.0426400 0.241823i
\(590\) 6.16466 1.08700i 0.253795 0.0447509i
\(591\) 15.7150 9.65595i 0.646429 0.397193i
\(592\) 0.111583 + 0.0936294i 0.00458604 + 0.00384814i
\(593\) 13.5970 23.5507i 0.558362 0.967112i −0.439271 0.898355i \(-0.644763\pi\)
0.997633 0.0687572i \(-0.0219034\pi\)
\(594\) 0.680210 + 2.59192i 0.0279094 + 0.106348i
\(595\) −0.476825 + 8.46892i −0.0195479 + 0.347192i
\(596\) −8.22153 22.5885i −0.336767 0.925260i
\(597\) −14.7976 + 9.09225i −0.605625 + 0.372121i
\(598\) 11.0901 30.4697i 0.453506 1.24600i
\(599\) 1.35106 + 1.61014i 0.0552030 + 0.0657884i 0.792939 0.609301i \(-0.208550\pi\)
−0.737736 + 0.675089i \(0.764105\pi\)
\(600\) 15.0644 + 2.23304i 0.615002 + 0.0911636i
\(601\) 6.40627 7.63469i 0.261317 0.311426i −0.619393 0.785081i \(-0.712621\pi\)
0.880710 + 0.473655i \(0.157066\pi\)
\(602\) −4.16961 8.26250i −0.169941 0.336754i
\(603\) −18.0340 + 16.8975i −0.734399 + 0.688118i
\(604\) −3.48367 −0.141749
\(605\) −13.8954 + 5.05750i −0.564927 + 0.205617i
\(606\) −12.4723 14.0636i −0.506653 0.571294i
\(607\) −14.5869 17.3839i −0.592062 0.705592i 0.383939 0.923359i \(-0.374567\pi\)
−0.976001 + 0.217766i \(0.930123\pi\)
\(608\) −17.9990 6.55109i −0.729955 0.265682i
\(609\) 2.35956 1.86653i 0.0956140 0.0756354i
\(610\) −2.90162 + 16.4559i −0.117483 + 0.666281i
\(611\) 33.5171i 1.35596i
\(612\) 8.00520 + 2.42659i 0.323591 + 0.0980891i
\(613\) −28.6005 −1.15516 −0.577581 0.816334i \(-0.696003\pi\)
−0.577581 + 0.816334i \(0.696003\pi\)
\(614\) 14.6021 5.31472i 0.589291 0.214485i
\(615\) −3.26552 + 1.29082i −0.131678 + 0.0520509i
\(616\) −2.61884 3.50355i −0.105516 0.141162i
\(617\) 0.142287 + 0.169571i 0.00572826 + 0.00682668i 0.768901 0.639368i \(-0.220804\pi\)
−0.763173 + 0.646195i \(0.776359\pi\)
\(618\) 10.3846 + 16.9008i 0.417728 + 0.679851i
\(619\) −15.3662 + 18.3127i −0.617619 + 0.736050i −0.980659 0.195724i \(-0.937294\pi\)
0.363040 + 0.931774i \(0.381739\pi\)
\(620\) 2.52011 1.45498i 0.101210 0.0584336i
\(621\) −33.6283 + 8.82526i −1.34946 + 0.354145i
\(622\) 1.34523i 0.0539387i
\(623\) −30.4748 7.16044i −1.22095 0.286877i
\(624\) −0.0346047 1.26394i −0.00138530 0.0505981i
\(625\) −0.0243202 0.137927i −0.000972809 0.00551707i
\(626\) −19.8781 + 16.6797i −0.794487 + 0.666653i
\(627\) 3.19162 1.26161i 0.127461 0.0503837i
\(628\) −3.35016 9.20448i −0.133686 0.367299i
\(629\) −1.25452 + 2.17289i −0.0500209 + 0.0866388i
\(630\) −7.50322 6.31515i −0.298935 0.251602i
\(631\) 8.84858 + 15.3262i 0.352256 + 0.610126i 0.986644 0.162889i \(-0.0520812\pi\)
−0.634388 + 0.773015i \(0.718748\pi\)
\(632\) −4.92335 + 5.86742i −0.195840 + 0.233393i
\(633\) 9.84301 + 3.28039i 0.391225 + 0.130384i
\(634\) 4.70460 + 26.6811i 0.186844 + 1.05964i
\(635\) 2.09778 1.76025i 0.0832478 0.0698532i
\(636\) −6.22514 + 18.6789i −0.246843 + 0.740668i
\(637\) −36.5092 10.7764i −1.44655 0.426977i
\(638\) 0.293212 0.169286i 0.0116084 0.00670210i
\(639\) −42.0754 21.3123i −1.66448 0.843103i
\(640\) 9.02117i 0.356593i
\(641\) 18.8568 + 3.32497i 0.744800 + 0.131328i 0.533154 0.846018i \(-0.321007\pi\)
0.211646 + 0.977346i \(0.432118\pi\)
\(642\) 14.8783 5.88121i 0.587200 0.232113i
\(643\) 29.5375 5.20825i 1.16484 0.205393i 0.442396 0.896820i \(-0.354128\pi\)
0.722447 + 0.691426i \(0.243017\pi\)
\(644\) 17.0979 12.7804i 0.673750 0.503617i
\(645\) 4.93494 + 8.03159i 0.194313 + 0.316244i
\(646\) −1.22517 + 6.94829i −0.0482037 + 0.273377i
\(647\) −0.0112934 0.0195607i −0.000443989 0.000769011i 0.865803 0.500384i \(-0.166808\pi\)
−0.866247 + 0.499615i \(0.833475\pi\)
\(648\) −20.7292 + 15.2122i −0.814322 + 0.597590i
\(649\) −2.53903 1.46591i −0.0996655 0.0575419i
\(650\) 14.0152 5.10110i 0.549720 0.200082i
\(651\) 7.97272 + 0.230252i 0.312475 + 0.00902430i
\(652\) −0.958152 + 0.803985i −0.0375241 + 0.0314865i
\(653\) −10.3106 + 28.3282i −0.403485 + 1.10857i 0.557067 + 0.830467i \(0.311927\pi\)
−0.960552 + 0.278099i \(0.910296\pi\)
\(654\) 25.7288 + 3.81386i 1.00608 + 0.149134i
\(655\) −0.537146 + 3.04631i −0.0209880 + 0.119029i
\(656\) 0.0981419 + 0.169987i 0.00383180 + 0.00663687i
\(657\) −6.00833 + 3.92224i −0.234407 + 0.153021i
\(658\) −7.96195 + 12.1567i −0.310389 + 0.473918i
\(659\) 17.6905 + 3.11932i 0.689126 + 0.121511i 0.507236 0.861807i \(-0.330667\pi\)
0.181890 + 0.983319i \(0.441778\pi\)
\(660\) 1.11191 + 1.25377i 0.0432811 + 0.0488031i
\(661\) −33.7358 + 5.94853i −1.31217 + 0.231371i −0.785587 0.618752i \(-0.787639\pi\)
−0.526585 + 0.850123i \(0.676528\pi\)
\(662\) −24.8385 + 4.37970i −0.965376 + 0.170222i
\(663\) 21.3373 4.36760i 0.828671 0.169624i
\(664\) 33.7645 + 5.95359i 1.31032 + 0.231044i
\(665\) −6.88160 + 10.5072i −0.266857 + 0.407450i
\(666\) −1.13983 2.66758i −0.0441676 0.103367i
\(667\) 2.19637 + 3.80422i 0.0850437 + 0.147300i
\(668\) 2.94133 16.6811i 0.113803 0.645411i
\(669\) −3.64670 9.22542i −0.140989 0.356675i
\(670\) 3.48123 9.56459i 0.134491 0.369512i
\(671\) 5.99520 5.03057i 0.231442 0.194203i
\(672\) 13.4534 21.8219i 0.518977 0.841798i
\(673\) −16.8698 + 6.14009i −0.650282 + 0.236683i −0.646035 0.763308i \(-0.723574\pi\)
−0.00424668 + 0.999991i \(0.501352\pi\)
\(674\) −6.27118 3.62067i −0.241557 0.139463i
\(675\) −13.0523 9.23990i −0.502384 0.355644i
\(676\) 9.99192 + 17.3065i 0.384304 + 0.665635i
\(677\) −0.583695 + 3.31030i −0.0224332 + 0.127225i −0.993968 0.109673i \(-0.965020\pi\)
0.971535 + 0.236898i \(0.0761307\pi\)
\(678\) −14.9352 + 27.5856i −0.573584 + 1.05942i
\(679\) −39.4933 + 29.5206i −1.51561 + 1.13290i
\(680\) −9.02013 + 1.59049i −0.345906 + 0.0609926i
\(681\) −4.49065 + 30.2946i −0.172082 + 1.16089i
\(682\) 0.883958 + 0.155866i 0.0338485 + 0.00596840i
\(683\) 40.5379i 1.55114i 0.631262 + 0.775570i \(0.282537\pi\)
−0.631262 + 0.775570i \(0.717463\pi\)
\(684\) 8.46897 + 9.03857i 0.323819 + 0.345598i
\(685\) 1.60120 0.924452i 0.0611786 0.0353215i
\(686\) 10.6820 + 12.5813i 0.407840 + 0.480357i
\(687\) −23.2871 + 4.76672i −0.888458 + 0.181862i
\(688\) 0.403658 0.338709i 0.0153893 0.0129132i
\(689\) 8.90192 + 50.4853i 0.339136 + 1.92334i
\(690\) 10.7131 9.50094i 0.407841 0.361695i
\(691\) −27.0323 + 32.2159i −1.02836 + 1.22555i −0.0544707 + 0.998515i \(0.517347\pi\)
−0.973887 + 0.227034i \(0.927097\pi\)
\(692\) 3.53058 + 6.11514i 0.134212 + 0.232463i
\(693\) 0.790822 + 4.52466i 0.0300408 + 0.171878i
\(694\) 6.13459 10.6254i 0.232866 0.403335i
\(695\) −7.22811 19.8591i −0.274178 0.753297i
\(696\) 2.54484 + 2.01931i 0.0964618 + 0.0765417i
\(697\) −2.59001 + 2.17327i −0.0981035 + 0.0823186i
\(698\) 0.208187 + 1.18069i 0.00788000 + 0.0446897i
\(699\) 13.9307 + 7.54229i 0.526908 + 0.285275i
\(700\) 9.55847 + 2.24588i 0.361276 + 0.0848864i
\(701\) 33.4343i 1.26280i 0.775459 + 0.631398i \(0.217519\pi\)
−0.775459 + 0.631398i \(0.782481\pi\)
\(702\) −10.7595 + 22.7669i −0.406091 + 0.859280i
\(703\) −3.21749 + 1.85762i −0.121350 + 0.0700613i
\(704\) 1.95428 2.32902i 0.0736546 0.0877782i
\(705\) 7.04710 13.0161i 0.265409 0.490215i
\(706\) 9.02357 + 10.7539i 0.339607 + 0.404727i
\(707\) −19.2908 25.8077i −0.725505 0.970598i
\(708\) 1.55154 10.4669i 0.0583106 0.393371i
\(709\) −36.2834 + 13.2061i −1.36265 + 0.495965i −0.916873 0.399178i \(-0.869296\pi\)
−0.445779 + 0.895143i \(0.647073\pi\)
\(710\) 19.4254 0.729024
\(711\) 7.39613 3.16030i 0.277377 0.118520i
\(712\) 33.8030i 1.26682i
\(713\) −2.02225 + 11.4687i −0.0757338 + 0.429508i
\(714\) −8.77658 3.48451i −0.328455 0.130404i
\(715\) 4.10014 + 1.49233i 0.153336 + 0.0558099i
\(716\) −6.58672 7.84974i −0.246157 0.293359i
\(717\) −4.28412 + 0.876931i −0.159993 + 0.0327496i
\(718\) −25.0998 + 9.13559i −0.936717 + 0.340937i
\(719\) −20.7470 −0.773733 −0.386866 0.922136i \(-0.626443\pi\)
−0.386866 + 0.922136i \(0.626443\pi\)
\(720\) 0.252310 0.498118i 0.00940304 0.0185637i
\(721\) 15.3185 + 30.3551i 0.570491 + 1.13048i
\(722\) 4.16820 4.96747i 0.155124 0.184870i
\(723\) 4.57988 + 11.5862i 0.170328 + 0.430895i
\(724\) 4.48162 + 5.34099i 0.166558 + 0.198496i
\(725\) −0.691061 + 1.89868i −0.0256654 + 0.0705150i
\(726\) −0.450530 16.4557i −0.0167207 0.610727i
\(727\) −6.23885 17.1411i −0.231386 0.635729i 0.768606 0.639723i \(-0.220951\pi\)
−0.999992 + 0.00399420i \(0.998729\pi\)
\(728\) 2.31064 41.0393i 0.0856379 1.52102i
\(729\) 26.6367 4.41429i 0.986545 0.163492i
\(730\) 1.47760 2.55927i 0.0546883 0.0947228i
\(731\) 6.95306 + 5.83431i 0.257168 + 0.215790i
\(732\) 24.8389 + 13.4481i 0.918071 + 0.497056i
\(733\) 26.9117 4.74525i 0.994005 0.175270i 0.347090 0.937832i \(-0.387170\pi\)
0.646915 + 0.762562i \(0.276059\pi\)
\(734\) −0.739395 4.19331i −0.0272916 0.154778i
\(735\) −11.9123 11.8611i −0.439391 0.437504i
\(736\) 28.6732 + 24.0597i 1.05691 + 0.886851i
\(737\) −4.12848 + 2.38358i −0.152075 + 0.0878003i
\(738\) −0.213888 3.90321i −0.00787331 0.143679i
\(739\) −7.06815 + 12.2424i −0.260006 + 0.450344i −0.966243 0.257632i \(-0.917058\pi\)
0.706237 + 0.707975i \(0.250391\pi\)
\(740\) −1.38971 1.16610i −0.0510867 0.0428669i
\(741\) 30.5957 + 10.1967i 1.12396 + 0.374583i
\(742\) 8.76398 20.4257i 0.321736 0.749852i
\(743\) 3.05230 8.38613i 0.111978 0.307657i −0.871027 0.491235i \(-0.836546\pi\)
0.983005 + 0.183578i \(0.0587679\pi\)
\(744\) 1.72713 + 8.43763i 0.0633196 + 0.309338i
\(745\) −9.45321 25.9725i −0.346339 0.951558i
\(746\) 10.6737 + 6.16249i 0.390794 + 0.225625i
\(747\) −28.8046 21.5984i −1.05390 0.790243i
\(748\) 1.39740 + 0.806789i 0.0510940 + 0.0294991i
\(749\) 26.2558 7.91582i 0.959365 0.289238i
\(750\) 17.1000 + 2.53478i 0.624403 + 0.0925571i
\(751\) 3.33799 + 1.21493i 0.121805 + 0.0443333i 0.402203 0.915550i \(-0.368244\pi\)
−0.280399 + 0.959884i \(0.590467\pi\)
\(752\) −0.777489 0.282983i −0.0283521 0.0103193i
\(753\) 0.851610 + 1.38599i 0.0310344 + 0.0505083i
\(754\) 3.13326 + 0.552478i 0.114106 + 0.0201201i
\(755\) −4.00557 −0.145778
\(756\) −14.1374 + 8.65743i −0.514174 + 0.314868i
\(757\) −21.6011 −0.785104 −0.392552 0.919730i \(-0.628408\pi\)
−0.392552 + 0.919730i \(0.628408\pi\)
\(758\) 7.75981 + 1.36826i 0.281849 + 0.0496976i
\(759\) −6.70401 + 0.183545i −0.243340 + 0.00666226i
\(760\) −12.7446 4.63865i −0.462295 0.168262i
\(761\) −9.49989 3.45768i −0.344371 0.125341i 0.164044 0.986453i \(-0.447546\pi\)
−0.508415 + 0.861112i \(0.669768\pi\)
\(762\) 1.12069 + 2.83513i 0.0405984 + 0.102706i
\(763\) 43.4017 + 10.1978i 1.57125 + 0.369184i
\(764\) 24.8383 + 14.3404i 0.898618 + 0.518818i
\(765\) 9.20447 + 2.79012i 0.332788 + 0.100877i
\(766\) −23.2197 13.4059i −0.838962 0.484375i
\(767\) −9.42284 25.8890i −0.340239 0.934799i
\(768\) 26.7935 + 8.92951i 0.966829 + 0.322216i
\(769\) 12.2720 33.7171i 0.442540 1.21587i −0.495276 0.868736i \(-0.664933\pi\)
0.937816 0.347133i \(-0.112845\pi\)
\(770\) −1.13262 1.51525i −0.0408169 0.0546058i
\(771\) 6.80627 + 33.2510i 0.245122 + 1.19751i
\(772\) −17.4786 14.6663i −0.629067 0.527850i
\(773\) −17.9180 + 31.0349i −0.644466