Properties

Label 189.2.bd.a.47.19
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 47.19
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.87320 + 0.330296i) q^{2} +(0.583821 + 1.63069i) q^{3} +(1.52040 + 0.553380i) q^{4} +(-0.848304 - 0.308757i) q^{5} +(0.555004 + 3.24744i) q^{6} +(2.48993 - 0.894564i) q^{7} +(-0.629295 - 0.363324i) q^{8} +(-2.31831 + 1.90406i) q^{9} +O(q^{10})\) \(q+(1.87320 + 0.330296i) q^{2} +(0.583821 + 1.63069i) q^{3} +(1.52040 + 0.553380i) q^{4} +(-0.848304 - 0.308757i) q^{5} +(0.555004 + 3.24744i) q^{6} +(2.48993 - 0.894564i) q^{7} +(-0.629295 - 0.363324i) q^{8} +(-2.31831 + 1.90406i) q^{9} +(-1.48706 - 0.858555i) q^{10} +(-1.19563 - 3.28497i) q^{11} +(-0.0147504 + 2.80238i) q^{12} +(-1.35464 + 3.72184i) q^{13} +(4.95961 - 0.853285i) q^{14} +(0.00822998 - 1.56358i) q^{15} +(-3.53767 - 2.96846i) q^{16} +(-0.233932 + 0.405183i) q^{17} +(-4.97156 + 2.80097i) q^{18} +(3.14258 - 1.81437i) q^{19} +(-1.11890 - 0.938869i) q^{20} +(2.91243 + 3.53804i) q^{21} +(-1.15465 - 6.54832i) q^{22} +(3.44344 - 0.607171i) q^{23} +(0.225073 - 1.23830i) q^{24} +(-3.20593 - 2.69010i) q^{25} +(-3.76682 + 6.52432i) q^{26} +(-4.45842 - 2.66881i) q^{27} +(4.28072 + 0.0177830i) q^{28} +(-1.79273 - 4.92550i) q^{29} +(0.531860 - 2.92618i) q^{30} +(-2.38270 + 6.54641i) q^{31} +(-4.71214 - 5.61571i) q^{32} +(4.65874 - 3.86754i) q^{33} +(-0.572032 + 0.681722i) q^{34} +(-2.38842 - 0.00992201i) q^{35} +(-4.57842 + 1.61203i) q^{36} +9.85377 q^{37} +(6.48596 - 2.36070i) q^{38} +(-6.86004 - 0.0361081i) q^{39} +(0.421655 + 0.502508i) q^{40} +(2.71326 + 0.987547i) q^{41} +(4.28697 + 7.58943i) q^{42} +(-1.54504 + 8.76238i) q^{43} -5.65611i q^{44} +(2.55452 - 0.899431i) q^{45} +6.65080 q^{46} +(-3.13508 + 1.14108i) q^{47} +(2.77527 - 7.50190i) q^{48} +(5.39951 - 4.45481i) q^{49} +(-5.11683 - 6.09800i) q^{50} +(-0.797302 - 0.144917i) q^{51} +(-4.11919 + 4.90906i) q^{52} +(-8.75304 + 5.05357i) q^{53} +(-7.47001 - 6.47181i) q^{54} +3.15581i q^{55} +(-1.89192 - 0.341706i) q^{56} +(4.79338 + 4.06531i) q^{57} +(-1.73128 - 9.81858i) q^{58} +(-2.48304 + 2.08352i) q^{59} +(0.877767 - 2.37271i) q^{60} +(0.0209011 + 0.0574254i) q^{61} +(-6.62553 + 11.4757i) q^{62} +(-4.06911 + 6.81486i) q^{63} +(-2.35384 - 4.07697i) q^{64} +(2.29829 - 2.73900i) q^{65} +(10.0042 - 5.70592i) q^{66} +(1.78024 + 10.0962i) q^{67} +(-0.579891 + 0.486586i) q^{68} +(3.00046 + 5.26070i) q^{69} +(-4.47071 - 0.807471i) q^{70} +(-2.19935 + 1.26979i) q^{71} +(2.15069 - 0.355923i) q^{72} +8.37008i q^{73} +(18.4581 + 3.25466i) q^{74} +(2.51503 - 6.79842i) q^{75} +(5.78202 - 1.01953i) q^{76} +(-5.91566 - 7.10978i) q^{77} +(-12.8383 - 2.33348i) q^{78} +(1.64089 - 9.30597i) q^{79} +(2.08449 + 3.61044i) q^{80} +(1.74908 - 8.82840i) q^{81} +(4.75630 + 2.74605i) q^{82} +(-10.6153 + 3.86367i) q^{83} +(2.47018 + 6.99092i) q^{84} +(0.323549 - 0.271490i) q^{85} +(-5.78836 + 15.9034i) q^{86} +(6.98533 - 5.79900i) q^{87} +(-0.441103 + 2.50162i) q^{88} +(-1.51868 - 2.63043i) q^{89} +(5.08221 - 0.841067i) q^{90} +(-0.0435318 + 10.4789i) q^{91} +(5.57140 + 0.982388i) q^{92} +(-12.0662 - 0.0635112i) q^{93} +(-6.24952 + 1.10196i) q^{94} +(-3.22606 + 0.568842i) q^{95} +(6.40644 - 10.9626i) q^{96} +(5.02929 + 0.886800i) q^{97} +(11.5858 - 6.56131i) q^{98} +(9.02664 + 5.33901i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.87320 + 0.330296i 1.32455 + 0.233554i 0.790794 0.612082i \(-0.209668\pi\)
0.533759 + 0.845637i \(0.320779\pi\)
\(3\) 0.583821 + 1.63069i 0.337069 + 0.941480i
\(4\) 1.52040 + 0.553380i 0.760200 + 0.276690i
\(5\) −0.848304 0.308757i −0.379373 0.138080i 0.145293 0.989389i \(-0.453588\pi\)
−0.524666 + 0.851308i \(0.675810\pi\)
\(6\) 0.555004 + 3.24744i 0.226579 + 1.32576i
\(7\) 2.48993 0.894564i 0.941105 0.338114i
\(8\) −0.629295 0.363324i −0.222489 0.128454i
\(9\) −2.31831 + 1.90406i −0.772768 + 0.634688i
\(10\) −1.48706 0.858555i −0.470250 0.271499i
\(11\) −1.19563 3.28497i −0.360497 0.990456i −0.978854 0.204559i \(-0.934424\pi\)
0.618358 0.785897i \(-0.287798\pi\)
\(12\) −0.0147504 + 2.80238i −0.00425809 + 0.808977i
\(13\) −1.35464 + 3.72184i −0.375709 + 1.03225i 0.597407 + 0.801938i \(0.296198\pi\)
−0.973116 + 0.230315i \(0.926024\pi\)
\(14\) 4.95961 0.853285i 1.32551 0.228050i
\(15\) 0.00822998 1.56358i 0.00212497 0.403715i
\(16\) −3.53767 2.96846i −0.884419 0.742115i
\(17\) −0.233932 + 0.405183i −0.0567369 + 0.0982712i −0.892999 0.450059i \(-0.851403\pi\)
0.836262 + 0.548330i \(0.184736\pi\)
\(18\) −4.97156 + 2.80097i −1.17181 + 0.660194i
\(19\) 3.14258 1.81437i 0.720958 0.416245i −0.0941474 0.995558i \(-0.530013\pi\)
0.815105 + 0.579313i \(0.196679\pi\)
\(20\) −1.11890 0.938869i −0.250194 0.209938i
\(21\) 2.91243 + 3.53804i 0.635545 + 0.772064i
\(22\) −1.15465 6.54832i −0.246171 1.39611i
\(23\) 3.44344 0.607171i 0.718006 0.126604i 0.197304 0.980342i \(-0.436781\pi\)
0.520702 + 0.853738i \(0.325670\pi\)
\(24\) 0.225073 1.23830i 0.0459428 0.252767i
\(25\) −3.20593 2.69010i −0.641187 0.538020i
\(26\) −3.76682 + 6.52432i −0.738734 + 1.27953i
\(27\) −4.45842 2.66881i −0.858023 0.513612i
\(28\) 4.28072 + 0.0177830i 0.808981 + 0.00336068i
\(29\) −1.79273 4.92550i −0.332902 0.914642i −0.987353 0.158537i \(-0.949322\pi\)
0.654451 0.756105i \(-0.272900\pi\)
\(30\) 0.531860 2.92618i 0.0971040 0.534245i
\(31\) −2.38270 + 6.54641i −0.427945 + 1.17577i 0.519112 + 0.854706i \(0.326263\pi\)
−0.947057 + 0.321064i \(0.895959\pi\)
\(32\) −4.71214 5.61571i −0.832997 0.992727i
\(33\) 4.65874 3.86754i 0.810982 0.673253i
\(34\) −0.572032 + 0.681722i −0.0981027 + 0.116914i
\(35\) −2.38842 0.00992201i −0.403717 0.00167713i
\(36\) −4.57842 + 1.61203i −0.763070 + 0.268672i
\(37\) 9.85377 1.61995 0.809975 0.586464i \(-0.199481\pi\)
0.809975 + 0.586464i \(0.199481\pi\)
\(38\) 6.48596 2.36070i 1.05216 0.382956i
\(39\) −6.86004 0.0361081i −1.09849 0.00578193i
\(40\) 0.421655 + 0.502508i 0.0666695 + 0.0794536i
\(41\) 2.71326 + 0.987547i 0.423741 + 0.154229i 0.545084 0.838382i \(-0.316498\pi\)
−0.121343 + 0.992611i \(0.538720\pi\)
\(42\) 4.28697 + 7.58943i 0.661494 + 1.17107i
\(43\) −1.54504 + 8.76238i −0.235617 + 1.33625i 0.605693 + 0.795698i \(0.292896\pi\)
−0.841310 + 0.540553i \(0.818215\pi\)
\(44\) 5.65611i 0.852690i
\(45\) 2.55452 0.899431i 0.380805 0.134079i
\(46\) 6.65080 0.980606
\(47\) −3.13508 + 1.14108i −0.457298 + 0.166443i −0.560390 0.828229i \(-0.689349\pi\)
0.103092 + 0.994672i \(0.467126\pi\)
\(48\) 2.77527 7.50190i 0.400576 1.08281i
\(49\) 5.39951 4.45481i 0.771358 0.636401i
\(50\) −5.11683 6.09800i −0.723629 0.862387i
\(51\) −0.797302 0.144917i −0.111645 0.0202924i
\(52\) −4.11919 + 4.90906i −0.571228 + 0.680764i
\(53\) −8.75304 + 5.05357i −1.20232 + 0.694161i −0.961071 0.276302i \(-0.910891\pi\)
−0.241251 + 0.970463i \(0.577558\pi\)
\(54\) −7.47001 6.47181i −1.01654 0.880701i
\(55\) 3.15581i 0.425530i
\(56\) −1.89192 0.341706i −0.252818 0.0456624i
\(57\) 4.79338 + 4.06531i 0.634899 + 0.538464i
\(58\) −1.73128 9.81858i −0.227328 1.28924i
\(59\) −2.48304 + 2.08352i −0.323265 + 0.271251i −0.789949 0.613173i \(-0.789893\pi\)
0.466684 + 0.884424i \(0.345449\pi\)
\(60\) 0.877767 2.37271i 0.113319 0.306316i
\(61\) 0.0209011 + 0.0574254i 0.00267611 + 0.00735257i 0.941023 0.338341i \(-0.109866\pi\)
−0.938347 + 0.345694i \(0.887644\pi\)
\(62\) −6.62553 + 11.4757i −0.841443 + 1.45742i
\(63\) −4.06911 + 6.81486i −0.512660 + 0.858592i
\(64\) −2.35384 4.07697i −0.294230 0.509621i
\(65\) 2.29829 2.73900i 0.285068 0.339731i
\(66\) 10.0042 5.70592i 1.23143 0.702350i
\(67\) 1.78024 + 10.0962i 0.217491 + 1.23345i 0.876532 + 0.481344i \(0.159851\pi\)
−0.659041 + 0.752107i \(0.729038\pi\)
\(68\) −0.579891 + 0.486586i −0.0703221 + 0.0590072i
\(69\) 3.00046 + 5.26070i 0.361213 + 0.633314i
\(70\) −4.47071 0.807471i −0.534352 0.0965113i
\(71\) −2.19935 + 1.26979i −0.261014 + 0.150697i −0.624797 0.780787i \(-0.714818\pi\)
0.363783 + 0.931484i \(0.381485\pi\)
\(72\) 2.15069 0.355923i 0.253461 0.0419459i
\(73\) 8.37008i 0.979643i 0.871823 + 0.489822i \(0.162938\pi\)
−0.871823 + 0.489822i \(0.837062\pi\)
\(74\) 18.4581 + 3.25466i 2.14571 + 0.378346i
\(75\) 2.51503 6.79842i 0.290410 0.785014i
\(76\) 5.78202 1.01953i 0.663243 0.116948i
\(77\) −5.91566 7.10978i −0.674152 0.810235i
\(78\) −12.8383 2.33348i −1.45365 0.264215i
\(79\) 1.64089 9.30597i 0.184615 1.04700i −0.741834 0.670583i \(-0.766044\pi\)
0.926449 0.376420i \(-0.122845\pi\)
\(80\) 2.08449 + 3.61044i 0.233053 + 0.403659i
\(81\) 1.74908 8.82840i 0.194342 0.980934i
\(82\) 4.75630 + 2.74605i 0.525246 + 0.303251i
\(83\) −10.6153 + 3.86367i −1.16518 + 0.424092i −0.850947 0.525252i \(-0.823971\pi\)
−0.314237 + 0.949344i \(0.601749\pi\)
\(84\) 2.47018 + 6.99092i 0.269519 + 0.762772i
\(85\) 0.323549 0.271490i 0.0350938 0.0294472i
\(86\) −5.78836 + 15.9034i −0.624175 + 1.71491i
\(87\) 6.98533 5.79900i 0.748906 0.621719i
\(88\) −0.441103 + 2.50162i −0.0470217 + 0.266673i
\(89\) −1.51868 2.63043i −0.160980 0.278825i 0.774241 0.632891i \(-0.218132\pi\)
−0.935220 + 0.354066i \(0.884799\pi\)
\(90\) 5.08221 0.841067i 0.535712 0.0886562i
\(91\) −0.0435318 + 10.4789i −0.00456337 + 1.09849i
\(92\) 5.57140 + 0.982388i 0.580858 + 0.102421i
\(93\) −12.0662 0.0635112i −1.25121 0.00658581i
\(94\) −6.24952 + 1.10196i −0.644589 + 0.113658i
\(95\) −3.22606 + 0.568842i −0.330987 + 0.0583620i
\(96\) 6.40644 10.9626i 0.653855 1.11887i
\(97\) 5.02929 + 0.886800i 0.510647 + 0.0900409i 0.423034 0.906114i \(-0.360965\pi\)
0.0876131 + 0.996155i \(0.472076\pi\)
\(98\) 11.5858 6.56131i 1.17034 0.662792i
\(99\) 9.02664 + 5.33901i 0.907211 + 0.536590i
\(100\) −3.38565 5.86413i −0.338565 0.586413i
\(101\) 2.32953 13.2114i 0.231797 1.31459i −0.617457 0.786604i \(-0.711837\pi\)
0.849255 0.527983i \(-0.177052\pi\)
\(102\) −1.44564 0.534804i −0.143140 0.0529535i
\(103\) 5.15600 14.1660i 0.508036 1.39582i −0.375225 0.926934i \(-0.622434\pi\)
0.883260 0.468883i \(-0.155343\pi\)
\(104\) 2.20470 1.84996i 0.216189 0.181404i
\(105\) −1.37823 3.90057i −0.134502 0.380656i
\(106\) −18.0654 + 6.57525i −1.75466 + 0.638645i
\(107\) 12.8332 + 7.40924i 1.24063 + 0.716278i 0.969222 0.246187i \(-0.0791777\pi\)
0.271407 + 0.962465i \(0.412511\pi\)
\(108\) −5.30171 6.52485i −0.510157 0.627854i
\(109\) −1.48332 2.56918i −0.142076 0.246083i 0.786202 0.617969i \(-0.212044\pi\)
−0.928278 + 0.371886i \(0.878711\pi\)
\(110\) −1.04235 + 5.91147i −0.0993844 + 0.563637i
\(111\) 5.75284 + 16.0685i 0.546036 + 1.52515i
\(112\) −11.4640 4.22659i −1.08325 0.399375i
\(113\) 12.0005 2.11601i 1.12891 0.199058i 0.422162 0.906520i \(-0.361271\pi\)
0.706751 + 0.707463i \(0.250160\pi\)
\(114\) 7.63621 + 9.19838i 0.715197 + 0.861507i
\(115\) −3.10855 0.548121i −0.289874 0.0511126i
\(116\) 8.48079i 0.787421i
\(117\) −3.94616 11.2077i −0.364822 1.03615i
\(118\) −5.33942 + 3.08271i −0.491533 + 0.283787i
\(119\) −0.220013 + 1.21814i −0.0201686 + 0.111667i
\(120\) −0.573265 + 0.980963i −0.0523317 + 0.0895493i
\(121\) −0.935012 + 0.784569i −0.0850011 + 0.0713244i
\(122\) 0.0201846 + 0.114473i 0.00182743 + 0.0103639i
\(123\) −0.0263232 + 5.00105i −0.00237349 + 0.450929i
\(124\) −7.24531 + 8.63463i −0.650648 + 0.775412i
\(125\) 4.14588 + 7.18088i 0.370819 + 0.642277i
\(126\) −9.87318 + 11.4216i −0.879573 + 1.01752i
\(127\) −4.12812 + 7.15011i −0.366311 + 0.634469i −0.988986 0.148012i \(-0.952713\pi\)
0.622675 + 0.782481i \(0.286046\pi\)
\(128\) 1.95195 + 5.36295i 0.172530 + 0.474022i
\(129\) −15.1908 + 2.59618i −1.33747 + 0.228581i
\(130\) 5.20984 4.37157i 0.456933 0.383412i
\(131\) 3.60230 + 20.4297i 0.314734 + 1.78495i 0.573704 + 0.819062i \(0.305506\pi\)
−0.258970 + 0.965885i \(0.583383\pi\)
\(132\) 9.22336 3.30216i 0.802791 0.287416i
\(133\) 6.20174 7.32890i 0.537759 0.635496i
\(134\) 19.5003i 1.68457i
\(135\) 2.95808 + 3.64053i 0.254591 + 0.313327i
\(136\) 0.294425 0.169986i 0.0252467 0.0145762i
\(137\) 7.84338 9.34738i 0.670105 0.798600i −0.318693 0.947858i \(-0.603244\pi\)
0.988798 + 0.149258i \(0.0476884\pi\)
\(138\) 3.88288 + 10.8454i 0.330532 + 0.923221i
\(139\) −11.5620 13.7791i −0.980677 1.16873i −0.985661 0.168738i \(-0.946031\pi\)
0.00498385 0.999988i \(-0.498414\pi\)
\(140\) −3.62586 1.33679i −0.306441 0.112979i
\(141\) −3.69107 4.44616i −0.310844 0.374434i
\(142\) −4.53923 + 1.65214i −0.380923 + 0.138645i
\(143\) 13.8458 1.15784
\(144\) 13.8536 + 0.145842i 1.15446 + 0.0121535i
\(145\) 4.73184i 0.392958i
\(146\) −2.76460 + 15.6788i −0.228800 + 1.29759i
\(147\) 10.4168 + 6.20412i 0.859160 + 0.511707i
\(148\) 14.9817 + 5.45288i 1.23149 + 0.448224i
\(149\) −7.23973 8.62797i −0.593102 0.706831i 0.383097 0.923708i \(-0.374857\pi\)
−0.976199 + 0.216877i \(0.930413\pi\)
\(150\) 6.95664 11.9041i 0.568007 0.971966i
\(151\) 5.72173 2.08254i 0.465628 0.169475i −0.0985428 0.995133i \(-0.531418\pi\)
0.564171 + 0.825658i \(0.309196\pi\)
\(152\) −2.63682 −0.213874
\(153\) −0.229167 1.38476i −0.0185271 0.111951i
\(154\) −8.73288 15.2720i −0.703716 1.23065i
\(155\) 4.04251 4.81767i 0.324702 0.386965i
\(156\) −10.4100 3.85111i −0.833469 0.308336i
\(157\) 3.07275 + 3.66196i 0.245232 + 0.292256i 0.874594 0.484856i \(-0.161128\pi\)
−0.629362 + 0.777112i \(0.716684\pi\)
\(158\) 6.14744 16.8900i 0.489064 1.34369i
\(159\) −13.3510 11.3231i −1.05880 0.897981i
\(160\) 2.26344 + 6.21874i 0.178940 + 0.491635i
\(161\) 8.03077 4.59219i 0.632913 0.361915i
\(162\) 6.19236 15.9597i 0.486518 1.25391i
\(163\) 3.98040 6.89426i 0.311769 0.540000i −0.666976 0.745079i \(-0.732412\pi\)
0.978745 + 0.205079i \(0.0657451\pi\)
\(164\) 3.57876 + 3.00293i 0.279454 + 0.234490i
\(165\) −5.14616 + 1.84243i −0.400628 + 0.143433i
\(166\) −21.1608 + 3.73122i −1.64240 + 0.289599i
\(167\) −3.90196 22.1291i −0.301943 1.71240i −0.637556 0.770404i \(-0.720055\pi\)
0.335613 0.942000i \(-0.391057\pi\)
\(168\) −0.547325 3.28463i −0.0422271 0.253415i
\(169\) −2.05848 1.72727i −0.158344 0.132867i
\(170\) 0.695744 0.401688i 0.0533611 0.0308080i
\(171\) −3.83079 + 10.1899i −0.292948 + 0.779244i
\(172\) −7.19802 + 12.4673i −0.548844 + 0.950625i
\(173\) 5.93288 + 4.97828i 0.451069 + 0.378491i 0.839832 0.542846i \(-0.182653\pi\)
−0.388764 + 0.921338i \(0.627098\pi\)
\(174\) 15.0003 8.55548i 1.13717 0.648589i
\(175\) −10.3890 3.83024i −0.785336 0.289539i
\(176\) −5.52155 + 15.1703i −0.416203 + 1.14351i
\(177\) −4.84723 2.83267i −0.364340 0.212917i
\(178\) −1.97597 5.42893i −0.148105 0.406916i
\(179\) 1.62040 + 0.935541i 0.121115 + 0.0699256i 0.559333 0.828943i \(-0.311057\pi\)
−0.438219 + 0.898868i \(0.644390\pi\)
\(180\) 4.38162 + 0.0461270i 0.326587 + 0.00343810i
\(181\) −18.1786 10.4954i −1.35121 0.780121i −0.362790 0.931871i \(-0.618176\pi\)
−0.988419 + 0.151751i \(0.951509\pi\)
\(182\) −3.54269 + 19.6148i −0.262602 + 1.45394i
\(183\) −0.0814405 + 0.0676094i −0.00602026 + 0.00499783i
\(184\) −2.38754 0.868993i −0.176012 0.0640630i
\(185\) −8.35899 3.04242i −0.614565 0.223683i
\(186\) −22.5815 4.10440i −1.65576 0.300949i
\(187\) 1.61071 + 0.284012i 0.117787 + 0.0207690i
\(188\) −5.39802 −0.393691
\(189\) −13.4886 2.65680i −0.981149 0.193254i
\(190\) −6.23095 −0.452041
\(191\) 10.0948 + 1.77999i 0.730436 + 0.128796i 0.526484 0.850185i \(-0.323510\pi\)
0.203952 + 0.978981i \(0.434621\pi\)
\(192\) 5.27405 6.21860i 0.380622 0.448789i
\(193\) 9.47459 + 3.44847i 0.681996 + 0.248226i 0.659704 0.751525i \(-0.270682\pi\)
0.0222917 + 0.999752i \(0.492904\pi\)
\(194\) 9.12797 + 3.32231i 0.655350 + 0.238528i
\(195\) 5.80825 + 2.14872i 0.415937 + 0.153873i
\(196\) 10.6746 3.78510i 0.762472 0.270365i
\(197\) −23.0223 13.2919i −1.64027 0.947010i −0.980737 0.195334i \(-0.937421\pi\)
−0.659533 0.751676i \(-0.729246\pi\)
\(198\) 15.1452 + 12.9825i 1.07633 + 0.922626i
\(199\) −16.8725 9.74135i −1.19606 0.690546i −0.236387 0.971659i \(-0.575963\pi\)
−0.959675 + 0.281113i \(0.909297\pi\)
\(200\) 1.04010 + 2.85766i 0.0735464 + 0.202067i
\(201\) −15.4245 + 8.79742i −1.08796 + 0.620522i
\(202\) 8.72737 23.9782i 0.614055 1.68710i
\(203\) −8.86996 10.6604i −0.622549 0.748215i
\(204\) −1.13202 0.661543i −0.0792575 0.0463173i
\(205\) −1.99676 1.67548i −0.139460 0.117021i
\(206\) 14.3372 24.8327i 0.998919 1.73018i
\(207\) −6.82685 + 7.96413i −0.474499 + 0.553546i
\(208\) 15.8404 9.14547i 1.09834 0.634124i
\(209\) −9.71752 8.15397i −0.672175 0.564022i
\(210\) −1.29336 7.76177i −0.0892504 0.535613i
\(211\) −0.926175 5.25260i −0.0637605 0.361604i −0.999949 0.0101053i \(-0.996783\pi\)
0.936188 0.351499i \(-0.114328\pi\)
\(212\) −16.1047 + 2.83969i −1.10607 + 0.195030i
\(213\) −3.35467 2.84512i −0.229858 0.194945i
\(214\) 21.5919 + 18.1177i 1.47599 + 1.23850i
\(215\) 4.01612 6.95612i 0.273897 0.474403i
\(216\) 1.83602 + 3.29932i 0.124925 + 0.224490i
\(217\) −0.0765688 + 18.4316i −0.00519783 + 1.25122i
\(218\) −1.92996 5.30253i −0.130713 0.359132i
\(219\) −13.6490 + 4.88663i −0.922314 + 0.330208i
\(220\) −1.74636 + 4.79810i −0.117740 + 0.323488i
\(221\) −1.19113 1.41954i −0.0801242 0.0954883i
\(222\) 5.46888 + 31.9996i 0.367047 + 2.14767i
\(223\) 5.44697 6.49144i 0.364756 0.434699i −0.552185 0.833721i \(-0.686206\pi\)
0.916941 + 0.399022i \(0.130650\pi\)
\(224\) −16.7565 9.76742i −1.11959 0.652613i
\(225\) 12.5545 + 0.132166i 0.836964 + 0.00881104i
\(226\) 23.1783 1.54180
\(227\) −21.1352 + 7.69258i −1.40279 + 0.510575i −0.929006 0.370065i \(-0.879335\pi\)
−0.473787 + 0.880640i \(0.657113\pi\)
\(228\) 5.03820 + 8.83346i 0.333663 + 0.585010i
\(229\) 0.509720 + 0.607461i 0.0336833 + 0.0401421i 0.782623 0.622496i \(-0.213881\pi\)
−0.748940 + 0.662638i \(0.769437\pi\)
\(230\) −5.64189 2.05348i −0.372015 0.135403i
\(231\) 8.14017 13.7975i 0.535584 0.907806i
\(232\) −0.661391 + 3.75093i −0.0434224 + 0.246261i
\(233\) 8.67731i 0.568470i −0.958755 0.284235i \(-0.908260\pi\)
0.958755 0.284235i \(-0.0917395\pi\)
\(234\) −3.69009 22.2976i −0.241229 1.45764i
\(235\) 3.01181 0.196469
\(236\) −4.92820 + 1.79372i −0.320798 + 0.116761i
\(237\) 16.1331 2.75723i 1.04796 0.179101i
\(238\) −0.814477 + 2.20916i −0.0527947 + 0.143199i
\(239\) 14.4054 + 17.1677i 0.931810 + 1.11049i 0.993663 + 0.112403i \(0.0358546\pi\)
−0.0618527 + 0.998085i \(0.519701\pi\)
\(240\) −4.67054 + 5.50701i −0.301482 + 0.355476i
\(241\) 6.75864 8.05464i 0.435362 0.518845i −0.503099 0.864229i \(-0.667807\pi\)
0.938461 + 0.345384i \(0.112251\pi\)
\(242\) −2.01061 + 1.16082i −0.129247 + 0.0746206i
\(243\) 15.4175 2.30200i 0.989036 0.147673i
\(244\) 0.0988758i 0.00632987i
\(245\) −5.95588 + 2.11189i −0.380507 + 0.134924i
\(246\) −1.70113 + 9.35927i −0.108460 + 0.596725i
\(247\) 2.49573 + 14.1540i 0.158800 + 0.900598i
\(248\) 3.87789 3.25394i 0.246246 0.206625i
\(249\) −12.4979 15.0546i −0.792022 0.954049i
\(250\) 5.39426 + 14.8206i 0.341163 + 0.937337i
\(251\) −4.71175 + 8.16098i −0.297403 + 0.515117i −0.975541 0.219818i \(-0.929454\pi\)
0.678138 + 0.734934i \(0.262787\pi\)
\(252\) −9.95789 + 8.10955i −0.627288 + 0.510853i
\(253\) −6.11162 10.5856i −0.384234 0.665514i
\(254\) −10.0944 + 12.0301i −0.633381 + 0.754835i
\(255\) 0.631610 + 0.369107i 0.0395530 + 0.0231144i
\(256\) 3.52000 + 19.9629i 0.220000 + 1.24768i
\(257\) 9.03217 7.57889i 0.563411 0.472758i −0.316041 0.948746i \(-0.602354\pi\)
0.879452 + 0.475987i \(0.157909\pi\)
\(258\) −29.3129 0.154290i −1.82494 0.00960565i
\(259\) 24.5352 8.81483i 1.52454 0.547727i
\(260\) 5.01003 2.89254i 0.310709 0.179388i
\(261\) 13.5346 + 8.00533i 0.837769 + 0.495517i
\(262\) 39.4587i 2.43777i
\(263\) −4.57306 0.806354i −0.281987 0.0497219i 0.0308658 0.999524i \(-0.490174\pi\)
−0.312853 + 0.949802i \(0.601285\pi\)
\(264\) −4.33689 + 0.741196i −0.266917 + 0.0456174i
\(265\) 8.98556 1.58440i 0.551978 0.0973287i
\(266\) 14.0378 11.6801i 0.860713 0.716152i
\(267\) 3.40278 4.01220i 0.208247 0.245542i
\(268\) −2.88038 + 16.3355i −0.175947 + 0.997847i
\(269\) 13.5452 + 23.4609i 0.825864 + 1.43044i 0.901257 + 0.433284i \(0.142645\pi\)
−0.0753937 + 0.997154i \(0.524021\pi\)
\(270\) 4.33862 + 7.79648i 0.264040 + 0.474479i
\(271\) −3.93162 2.26992i −0.238829 0.137888i 0.375810 0.926697i \(-0.377365\pi\)
−0.614638 + 0.788809i \(0.710698\pi\)
\(272\) 2.03035 0.738985i 0.123108 0.0448076i
\(273\) −17.1133 + 6.04684i −1.03575 + 0.365971i
\(274\) 17.7796 14.9189i 1.07411 0.901282i
\(275\) −5.00378 + 13.7478i −0.301739 + 0.829022i
\(276\) 1.65073 + 9.65877i 0.0993623 + 0.581389i
\(277\) 1.38431 7.85082i 0.0831752 0.471710i −0.914560 0.404450i \(-0.867463\pi\)
0.997735 0.0672603i \(-0.0214258\pi\)
\(278\) −17.1068 29.6298i −1.02600 1.77708i
\(279\) −6.94096 19.7134i −0.415545 1.18021i
\(280\) 1.49942 + 0.874014i 0.0896073 + 0.0522323i
\(281\) 6.05459 + 1.06759i 0.361187 + 0.0636870i 0.351297 0.936264i \(-0.385741\pi\)
0.00988990 + 0.999951i \(0.496852\pi\)
\(282\) −5.44556 9.54769i −0.324278 0.568557i
\(283\) −11.2989 + 1.99229i −0.671647 + 0.118430i −0.499064 0.866565i \(-0.666323\pi\)
−0.172584 + 0.984995i \(0.555212\pi\)
\(284\) −4.04657 + 0.713519i −0.240119 + 0.0423395i
\(285\) −2.81105 4.92861i −0.166512 0.291946i
\(286\) 25.9359 + 4.57321i 1.53362 + 0.270419i
\(287\) 7.63926 + 0.0317351i 0.450931 + 0.00187327i
\(288\) 21.6169 + 4.04672i 1.27379 + 0.238455i
\(289\) 8.39055 + 14.5329i 0.493562 + 0.854874i
\(290\) −1.56291 + 8.86368i −0.0917770 + 0.520493i
\(291\) 1.49011 + 8.71896i 0.0873519 + 0.511114i
\(292\) −4.63183 + 12.7259i −0.271058 + 0.744725i
\(293\) −0.840836 + 0.705545i −0.0491222 + 0.0412184i −0.667018 0.745041i \(-0.732430\pi\)
0.617896 + 0.786260i \(0.287985\pi\)
\(294\) 17.4635 + 15.0622i 1.01849 + 0.878444i
\(295\) 2.74968 1.00080i 0.160092 0.0582689i
\(296\) −6.20093 3.58011i −0.360422 0.208090i
\(297\) −3.43633 + 17.8367i −0.199396 + 1.03499i
\(298\) −10.7117 18.5532i −0.620511 1.07476i
\(299\) −2.40482 + 13.6384i −0.139074 + 0.788730i
\(300\) 7.58596 8.94456i 0.437976 0.516414i
\(301\) 3.99146 + 23.1999i 0.230064 + 1.33722i
\(302\) 11.4058 2.01115i 0.656331 0.115729i
\(303\) 22.9038 3.91437i 1.31579 0.224875i
\(304\) −16.5033 2.90998i −0.946530 0.166899i
\(305\) 0.0551675i 0.00315888i
\(306\) 0.0281042 2.66962i 0.00160661 0.152612i
\(307\) −5.93612 + 3.42722i −0.338792 + 0.195602i −0.659738 0.751496i \(-0.729333\pi\)
0.320945 + 0.947098i \(0.395999\pi\)
\(308\) −5.05975 14.0833i −0.288306 0.802472i
\(309\) 26.1105 + 0.137434i 1.48538 + 0.00781835i
\(310\) 9.16368 7.68924i 0.520462 0.436720i
\(311\) 3.87680 + 21.9864i 0.219833 + 1.24674i 0.872320 + 0.488935i \(0.162615\pi\)
−0.652487 + 0.757800i \(0.726274\pi\)
\(312\) 4.30387 + 2.51514i 0.243659 + 0.142392i
\(313\) 0.650065 0.774717i 0.0367439 0.0437896i −0.747360 0.664420i \(-0.768679\pi\)
0.784103 + 0.620630i \(0.213123\pi\)
\(314\) 4.54635 + 7.87450i 0.256565 + 0.444384i
\(315\) 5.55598 4.52470i 0.313044 0.254938i
\(316\) 7.64455 13.2408i 0.430040 0.744850i
\(317\) −8.50091 23.3561i −0.477459 1.31181i −0.911643 0.410983i \(-0.865186\pi\)
0.434184 0.900824i \(-0.357037\pi\)
\(318\) −21.2692 25.6203i −1.19271 1.43671i
\(319\) −14.0367 + 11.7782i −0.785902 + 0.659450i
\(320\) 0.737976 + 4.18527i 0.0412541 + 0.233964i
\(321\) −4.58989 + 25.2526i −0.256183 + 1.40946i
\(322\) 16.5600 5.94956i 0.922854 0.331556i
\(323\) 1.69776i 0.0944659i
\(324\) 7.54477 12.4548i 0.419154 0.691933i
\(325\) 14.3550 8.28786i 0.796272 0.459728i
\(326\) 9.73324 11.5996i 0.539074 0.642444i
\(327\) 3.32355 3.91877i 0.183793 0.216709i
\(328\) −1.34864 1.60725i −0.0744664 0.0887457i
\(329\) −6.78536 + 5.64573i −0.374089 + 0.311259i
\(330\) −10.2483 + 1.75149i −0.564152 + 0.0964163i
\(331\) −24.9441 + 9.07889i −1.37105 + 0.499021i −0.919453 0.393201i \(-0.871368\pi\)
−0.451597 + 0.892222i \(0.649145\pi\)
\(332\) −18.2776 −1.00312
\(333\) −22.8441 + 18.7622i −1.25185 + 1.02816i
\(334\) 42.7411i 2.33869i
\(335\) 1.60710 9.11434i 0.0878054 0.497969i
\(336\) 0.199302 21.1619i 0.0108728 1.15448i
\(337\) 23.2967 + 8.47930i 1.26905 + 0.461897i 0.886796 0.462161i \(-0.152926\pi\)
0.382254 + 0.924057i \(0.375148\pi\)
\(338\) −3.28543 3.91542i −0.178704 0.212971i
\(339\) 10.4567 + 18.3337i 0.567931 + 0.995752i
\(340\) 0.642160 0.233727i 0.0348260 0.0126756i
\(341\) 24.3536 1.31882
\(342\) −10.5415 + 17.8225i −0.570020 + 0.963731i
\(343\) 9.45929 15.9224i 0.510754 0.859727i
\(344\) 4.15587 4.95278i 0.224070 0.267036i
\(345\) −0.921021 5.38909i −0.0495861 0.290139i
\(346\) 9.46917 + 11.2849i 0.509066 + 0.606681i
\(347\) −6.40998 + 17.6113i −0.344106 + 0.945423i 0.640084 + 0.768305i \(0.278900\pi\)
−0.984190 + 0.177118i \(0.943323\pi\)
\(348\) 13.8295 4.95126i 0.741341 0.265416i
\(349\) −8.31455 22.8440i −0.445067 1.22281i −0.936119 0.351682i \(-0.885610\pi\)
0.491052 0.871130i \(-0.336613\pi\)
\(350\) −18.1956 10.6063i −0.972596 0.566929i
\(351\) 15.9724 12.9782i 0.852545 0.692727i
\(352\) −12.8135 + 22.1936i −0.682960 + 1.18292i
\(353\) 17.5265 + 14.7065i 0.932841 + 0.782747i 0.976325 0.216307i \(-0.0694013\pi\)
−0.0434839 + 0.999054i \(0.513846\pi\)
\(354\) −8.14422 6.90719i −0.432860 0.367113i
\(355\) 2.25777 0.398106i 0.119830 0.0211293i
\(356\) −0.853371 4.83971i −0.0452286 0.256504i
\(357\) −2.11487 + 0.352405i −0.111931 + 0.0186512i
\(358\) 2.72634 + 2.28767i 0.144091 + 0.120907i
\(359\) 7.23348 4.17625i 0.381768 0.220414i −0.296819 0.954934i \(-0.595926\pi\)
0.678587 + 0.734520i \(0.262592\pi\)
\(360\) −1.93433 0.362111i −0.101948 0.0190849i
\(361\) −2.91612 + 5.05087i −0.153480 + 0.265835i
\(362\) −30.5857 25.6644i −1.60755 1.34889i
\(363\) −1.82527 1.06667i −0.0958018 0.0559856i
\(364\) −5.86502 + 15.9081i −0.307411 + 0.833810i
\(365\) 2.58432 7.10037i 0.135270 0.371650i
\(366\) −0.174886 + 0.0997466i −0.00914141 + 0.00521384i
\(367\) 3.33853 + 9.17253i 0.174270 + 0.478802i 0.995820 0.0913333i \(-0.0291129\pi\)
−0.821551 + 0.570136i \(0.806891\pi\)
\(368\) −13.9841 8.07374i −0.728973 0.420873i
\(369\) −8.17053 + 2.87679i −0.425341 + 0.149760i
\(370\) −14.6532 8.46001i −0.761782 0.439815i
\(371\) −17.2737 + 20.4132i −0.896806 + 1.05980i
\(372\) −18.3104 6.77379i −0.949349 0.351204i
\(373\) −9.95905 3.62480i −0.515660 0.187685i 0.0710640 0.997472i \(-0.477361\pi\)
−0.586724 + 0.809787i \(0.699583\pi\)
\(374\) 2.92338 + 1.06402i 0.151164 + 0.0550193i
\(375\) −9.28934 + 10.9530i −0.479700 + 0.565611i
\(376\) 2.38747 + 0.420975i 0.123124 + 0.0217102i
\(377\) 20.7604 1.06922
\(378\) −24.3893 9.43194i −1.25445 0.485127i
\(379\) −6.26462 −0.321792 −0.160896 0.986971i \(-0.551438\pi\)
−0.160896 + 0.986971i \(0.551438\pi\)
\(380\) −5.21969 0.920373i −0.267765 0.0472141i
\(381\) −14.0697 2.55730i −0.720812 0.131014i
\(382\) 18.3217 + 6.66856i 0.937420 + 0.341193i
\(383\) 7.86054 + 2.86100i 0.401655 + 0.146190i 0.534945 0.844887i \(-0.320332\pi\)
−0.133291 + 0.991077i \(0.542554\pi\)
\(384\) −7.60572 + 6.31404i −0.388128 + 0.322212i
\(385\) 2.82308 + 7.85776i 0.143877 + 0.400468i
\(386\) 16.6088 + 9.58909i 0.845365 + 0.488072i
\(387\) −13.1023 23.2557i −0.666025 1.18216i
\(388\) 7.15580 + 4.13140i 0.363281 + 0.209740i
\(389\) −6.64622 18.2603i −0.336977 0.925835i −0.986247 0.165278i \(-0.947148\pi\)
0.649270 0.760558i \(-0.275074\pi\)
\(390\) 10.1703 + 5.94342i 0.514993 + 0.300957i
\(391\) −0.559516 + 1.53726i −0.0282960 + 0.0777425i
\(392\) −5.01642 + 0.841618i −0.253368 + 0.0425081i
\(393\) −31.2114 + 17.8015i −1.57441 + 0.897967i
\(394\) −38.7351 32.5026i −1.95145 1.63746i
\(395\) −4.26526 + 7.38765i −0.214609 + 0.371713i
\(396\) 10.7696 + 13.1126i 0.541192 + 0.658932i
\(397\) −24.5677 + 14.1842i −1.23302 + 0.711882i −0.967658 0.252267i \(-0.918824\pi\)
−0.265359 + 0.964150i \(0.585490\pi\)
\(398\) −28.3881 23.8204i −1.42297 1.19401i
\(399\) 15.5719 + 5.83435i 0.779569 + 0.292083i
\(400\) 3.35610 + 19.0334i 0.167805 + 0.951669i
\(401\) −19.2271 + 3.39026i −0.960157 + 0.169302i −0.631696 0.775216i \(-0.717641\pi\)
−0.328461 + 0.944518i \(0.606530\pi\)
\(402\) −31.7989 + 11.3847i −1.58599 + 0.567816i
\(403\) −21.1370 17.7361i −1.05291 0.883496i
\(404\) 10.8528 18.7976i 0.539946 0.935213i
\(405\) −4.20959 + 6.94913i −0.209176 + 0.345305i
\(406\) −13.0941 22.8988i −0.649850 1.13645i
\(407\) −11.7815 32.3694i −0.583986 1.60449i
\(408\) 0.449087 + 0.380875i 0.0222331 + 0.0188561i
\(409\) 11.9596 32.8586i 0.591362 1.62475i −0.176618 0.984279i \(-0.556516\pi\)
0.767980 0.640474i \(-0.221262\pi\)
\(410\) −3.18693 3.79803i −0.157391 0.187571i
\(411\) 19.8218 + 7.33293i 0.977738 + 0.361707i
\(412\) 15.6784 18.6847i 0.772418 0.920531i
\(413\) −4.31876 + 7.40907i −0.212512 + 0.364576i
\(414\) −15.4186 + 12.6635i −0.757782 + 0.622379i
\(415\) 10.1980 0.500598
\(416\) 27.2840 9.93058i 1.33771 0.486887i
\(417\) 15.7193 26.8986i 0.769775 1.31723i
\(418\) −15.5096 18.4837i −0.758602 0.904066i
\(419\) 38.1160 + 13.8731i 1.86209 + 0.677745i 0.977340 + 0.211674i \(0.0678916\pi\)
0.884748 + 0.466070i \(0.154331\pi\)
\(420\) 0.0630355 6.69311i 0.00307582 0.326590i
\(421\) 2.74861 15.5881i 0.133959 0.759718i −0.841620 0.540070i \(-0.818398\pi\)
0.975579 0.219649i \(-0.0704911\pi\)
\(422\) 10.1451i 0.493855i
\(423\) 5.09539 8.61475i 0.247746 0.418864i
\(424\) 7.34433 0.356672
\(425\) 1.83995 0.669688i 0.0892508 0.0324846i
\(426\) −5.34423 6.43752i −0.258929 0.311899i
\(427\) 0.103413 + 0.124288i 0.00500451 + 0.00601471i
\(428\) 15.4114 + 18.3666i 0.744939 + 0.887784i
\(429\) 8.08347 + 22.5782i 0.390273 + 1.09009i
\(430\) 9.82057 11.7037i 0.473590 0.564403i
\(431\) −6.88208 + 3.97337i −0.331498 + 0.191391i −0.656506 0.754321i \(-0.727966\pi\)
0.325008 + 0.945711i \(0.394633\pi\)
\(432\) 7.85017 + 22.6760i 0.377692 + 1.09100i
\(433\) 16.4757i 0.791770i 0.918300 + 0.395885i \(0.129562\pi\)
−0.918300 + 0.395885i \(0.870438\pi\)
\(434\) −6.23131 + 34.5008i −0.299112 + 1.65609i
\(435\) −7.71616 + 2.76255i −0.369962 + 0.132454i
\(436\) −0.833501 4.72702i −0.0399175 0.226383i
\(437\) 9.71965 8.15575i 0.464954 0.390143i
\(438\) −27.1814 + 4.64542i −1.29878 + 0.221967i
\(439\) 2.08683 + 5.73351i 0.0995988 + 0.273646i 0.979478 0.201552i \(-0.0645986\pi\)
−0.879879 + 0.475198i \(0.842376\pi\)
\(440\) 1.14658 1.98594i 0.0546612 0.0946759i
\(441\) −4.03548 + 20.6086i −0.192166 + 0.981363i
\(442\) −1.76236 3.05250i −0.0838270 0.145193i
\(443\) 12.7961 15.2497i 0.607959 0.724537i −0.370991 0.928636i \(-0.620982\pi\)
0.978950 + 0.204099i \(0.0654265\pi\)
\(444\) −0.145347 + 27.6140i −0.00689789 + 1.31050i
\(445\) 0.476137 + 2.70031i 0.0225710 + 0.128007i
\(446\) 12.3474 10.3607i 0.584664 0.490592i
\(447\) 9.84285 16.8430i 0.465551 0.796645i
\(448\) −9.50800 8.04570i −0.449211 0.380124i
\(449\) −0.412263 + 0.238020i −0.0194559 + 0.0112329i −0.509696 0.860354i \(-0.670242\pi\)
0.490241 + 0.871587i \(0.336909\pi\)
\(450\) 23.4734 + 4.39426i 1.10654 + 0.207147i
\(451\) 10.0937i 0.475295i
\(452\) 19.4165 + 3.42366i 0.913277 + 0.161035i
\(453\) 6.73645 + 8.11455i 0.316506 + 0.381255i
\(454\) −42.1313 + 7.42888i −1.97732 + 0.348655i
\(455\) 3.27238 8.87588i 0.153411 0.416108i
\(456\) −1.53943 4.29983i −0.0720904 0.201358i
\(457\) 2.00670 11.3806i 0.0938695 0.532360i −0.901218 0.433365i \(-0.857326\pi\)
0.995088 0.0989952i \(-0.0315628\pi\)
\(458\) 0.754166 + 1.30625i 0.0352399 + 0.0610373i
\(459\) 2.12432 1.18215i 0.0991548 0.0551782i
\(460\) −4.42292 2.55357i −0.206220 0.119061i
\(461\) 19.0273 6.92536i 0.886189 0.322546i 0.141484 0.989941i \(-0.454813\pi\)
0.744705 + 0.667394i \(0.232590\pi\)
\(462\) 19.8054 23.1567i 0.921431 1.07735i
\(463\) −4.74389 + 3.98059i −0.220467 + 0.184994i −0.746331 0.665575i \(-0.768186\pi\)
0.525864 + 0.850569i \(0.323742\pi\)
\(464\) −8.27904 + 22.7465i −0.384345 + 1.05598i
\(465\) 10.2162 + 3.77942i 0.473766 + 0.175266i
\(466\) 2.86608 16.2543i 0.132769 0.752968i
\(467\) 1.90348 + 3.29692i 0.0880826 + 0.152563i 0.906701 0.421775i \(-0.138593\pi\)
−0.818618 + 0.574338i \(0.805259\pi\)
\(468\) 0.202377 19.2239i 0.00935489 0.888624i
\(469\) 13.4644 + 23.5464i 0.621728 + 1.08727i
\(470\) 5.64173 + 0.994790i 0.260234 + 0.0458862i
\(471\) −4.17759 + 7.14863i −0.192493 + 0.329392i
\(472\) 2.31956 0.409001i 0.106766 0.0188258i
\(473\) 30.6315 5.40116i 1.40844 0.248346i
\(474\) 31.1313 + 0.163861i 1.42991 + 0.00752639i
\(475\) −14.9557 2.63710i −0.686217 0.120998i
\(476\) −1.00861 + 1.73032i −0.0462293 + 0.0793089i
\(477\) 10.6699 28.3821i 0.488541 1.29952i
\(478\) 21.3138 + 36.9166i 0.974872 + 1.68853i
\(479\) −5.21941 + 29.6008i −0.238481 + 1.35249i 0.596676 + 0.802482i \(0.296488\pi\)
−0.835157 + 0.550011i \(0.814623\pi\)
\(480\) −8.81940 + 7.32160i −0.402549 + 0.334184i
\(481\) −13.3483 + 36.6742i −0.608630 + 1.67220i
\(482\) 15.3207 12.8556i 0.697839 0.585556i
\(483\) 12.1770 + 10.4147i 0.554072 + 0.473884i
\(484\) −1.85576 + 0.675440i −0.0843526 + 0.0307018i
\(485\) −3.99256 2.30511i −0.181293 0.104670i
\(486\) 29.6405 + 0.780244i 1.34452 + 0.0353926i
\(487\) −18.9944 32.8993i −0.860720 1.49081i −0.871235 0.490866i \(-0.836680\pi\)
0.0105150 0.999945i \(-0.496653\pi\)
\(488\) 0.00771102 0.0437314i 0.000349062 0.00197963i
\(489\) 13.5663 + 2.46579i 0.613487 + 0.111507i
\(490\) −11.8541 + 1.98879i −0.535514 + 0.0898445i
\(491\) −31.0131 + 5.46844i −1.39960 + 0.246787i −0.821979 0.569517i \(-0.807130\pi\)
−0.577622 + 0.816305i \(0.696019\pi\)
\(492\) −2.80750 + 7.58902i −0.126572 + 0.342140i
\(493\) 2.41510 + 0.425848i 0.108771 + 0.0191792i
\(494\) 27.3376i 1.22998i
\(495\) −6.00887 7.31614i −0.270079 0.328836i
\(496\) 27.8620 16.0861i 1.25104 0.722288i
\(497\) −4.34031 + 5.12916i −0.194689 + 0.230074i
\(498\) −18.4386 32.3284i −0.826253 1.44867i
\(499\) −14.4091 + 12.0907i −0.645039 + 0.541252i −0.905561 0.424216i \(-0.860550\pi\)
0.260522 + 0.965468i \(0.416105\pi\)
\(500\) 2.32964 + 13.2121i 0.104185 + 0.590861i
\(501\) 33.8077 19.2824i 1.51042 0.861472i
\(502\) −11.5216 + 13.7309i −0.514233 + 0.612839i
\(503\) 3.04934 + 5.28161i 0.135963 + 0.235495i 0.925965 0.377609i \(-0.123254\pi\)
−0.790002 + 0.613105i \(0.789920\pi\)
\(504\) 5.03667 2.81015i 0.224351 0.125174i
\(505\) −6.05528 + 10.4881i −0.269456 + 0.466712i
\(506\) −7.95190 21.8477i −0.353505 0.971247i
\(507\) 1.61486 4.36515i 0.0717182 0.193863i
\(508\) −10.2331 + 8.58660i −0.454021 + 0.380969i
\(509\) 7.51248 + 42.6054i 0.332985 + 1.88845i 0.446288 + 0.894889i \(0.352746\pi\)
−0.113303 + 0.993560i \(0.536143\pi\)
\(510\) 1.06122 + 0.900029i 0.0469915 + 0.0398539i
\(511\) 7.48757 + 20.8409i 0.331231 + 0.921947i
\(512\) 27.1429i 1.19956i
\(513\) −18.8531 0.297725i −0.832386 0.0131449i
\(514\) 19.4223 11.2135i 0.856683 0.494606i
\(515\) −8.74771 + 10.4251i −0.385470 + 0.459385i
\(516\) −24.5327 4.45905i −1.07999 0.196299i
\(517\) 7.49680 + 8.93434i 0.329709 + 0.392932i
\(518\) 48.8709 8.40807i 2.14726 0.369430i
\(519\) −4.65429 + 12.5811i −0.204301 + 0.552250i
\(520\) −2.44145 + 0.888614i −0.107065 + 0.0389683i
\(521\) −20.0431 −0.878105 −0.439053 0.898461i \(-0.644686\pi\)
−0.439053 + 0.898461i \(0.644686\pi\)
\(522\) 22.7088 + 19.4660i 0.993939 + 0.852003i
\(523\) 26.6736i 1.16635i −0.812345 0.583177i \(-0.801809\pi\)
0.812345 0.583177i \(-0.198191\pi\)
\(524\) −5.82843 + 33.0547i −0.254616 + 1.44400i
\(525\) 0.180613 19.1775i 0.00788258 0.836973i
\(526\) −8.29992 3.02093i −0.361894 0.131719i
\(527\) −2.09510 2.49685i −0.0912641 0.108764i
\(528\) −27.9617 0.147178i −1.21688 0.00640510i
\(529\) −10.1243 + 3.68495i −0.440188 + 0.160215i
\(530\) 17.3551 0.753856
\(531\) 1.78930 9.55811i 0.0776489 0.414787i
\(532\) 13.4848 7.71093i 0.584640 0.334311i
\(533\) −7.35099 + 8.76057i −0.318407 + 0.379462i
\(534\) 7.69930 6.39172i 0.333181 0.276597i
\(535\) −8.59877 10.2476i −0.371757 0.443043i
\(536\) 2.54791 7.00032i 0.110053 0.302368i
\(537\) −0.579552 + 3.18857i −0.0250095 + 0.137597i
\(538\) 17.6238 + 48.4209i 0.759815 + 2.08757i
\(539\) −21.0897 12.4109i −0.908399 0.534576i
\(540\) 2.48286 + 7.17200i 0.106845 + 0.308634i
\(541\) −5.16825 + 8.95167i −0.222200 + 0.384862i −0.955476 0.295069i \(-0.904657\pi\)
0.733275 + 0.679932i \(0.237991\pi\)
\(542\) −6.61497 5.55061i −0.284137 0.238419i
\(543\) 6.50175 35.7712i 0.279017 1.53509i
\(544\) 3.37771 0.595582i 0.144818 0.0255354i
\(545\) 0.465050 + 2.63743i 0.0199206 + 0.112975i
\(546\) −34.0539 + 5.67449i −1.45737 + 0.242846i
\(547\) 2.39360 + 2.00847i 0.102343 + 0.0858758i 0.692523 0.721396i \(-0.256499\pi\)
−0.590181 + 0.807271i \(0.700943\pi\)
\(548\) 17.0977 9.87138i 0.730379 0.421684i
\(549\) −0.157797 0.0933325i −0.00673460 0.00398333i
\(550\) −13.9139 + 24.0996i −0.593291 + 1.02761i
\(551\) −14.5705 12.2261i −0.620724 0.520849i
\(552\) 0.0231632 4.40067i 0.000985889 0.187305i
\(553\) −4.23908 24.6391i −0.180264 1.04776i
\(554\) 5.18618 14.2489i 0.220340 0.605379i
\(555\) 0.0810963 15.4072i 0.00344235 0.653998i
\(556\) −9.95382 27.3479i −0.422136 1.15981i
\(557\) 12.2609 + 7.07881i 0.519509 + 0.299939i 0.736734 0.676183i \(-0.236367\pi\)
−0.217225 + 0.976122i \(0.569700\pi\)
\(558\) −6.49057 39.2197i −0.274768 1.66030i
\(559\) −30.5192 17.6203i −1.29083 0.745259i
\(560\) 8.42000 + 7.12504i 0.355810 + 0.301088i
\(561\) 0.477232 + 2.79238i 0.0201487 + 0.117894i
\(562\) 10.9888 + 3.99961i 0.463537 + 0.168714i
\(563\) −21.1089 7.68303i −0.889636 0.323801i −0.143544 0.989644i \(-0.545850\pi\)
−0.746092 + 0.665843i \(0.768072\pi\)
\(564\) −3.15148 8.80251i −0.132701 0.370652i
\(565\) −10.8334 1.91022i −0.455765 0.0803637i
\(566\) −21.8231 −0.917292
\(567\) −3.54249 23.5468i −0.148770 0.988872i
\(568\) 1.84539 0.0774306
\(569\) −18.4001 3.24444i −0.771373 0.136014i −0.225909 0.974148i \(-0.572535\pi\)
−0.545464 + 0.838135i \(0.683646\pi\)
\(570\) −3.63776 10.1608i −0.152369 0.425587i
\(571\) 34.2455 + 12.4643i 1.43313 + 0.521616i 0.937827 0.347104i \(-0.112835\pi\)
0.495303 + 0.868720i \(0.335057\pi\)
\(572\) 21.0511 + 7.66199i 0.880192 + 0.320364i
\(573\) 2.99096 + 17.5007i 0.124949 + 0.731104i
\(574\) 14.2994 + 2.58266i 0.596845 + 0.107798i
\(575\) −12.6728 7.31663i −0.528492 0.305125i
\(576\) 13.2197 + 4.96979i 0.550821 + 0.207075i
\(577\) −25.0637 14.4705i −1.04341 0.602416i −0.122616 0.992454i \(-0.539128\pi\)
−0.920799 + 0.390039i \(0.872462\pi\)
\(578\) 10.9170 + 29.9943i 0.454089 + 1.24760i
\(579\) −0.0919195 + 17.4634i −0.00382004 + 0.725755i
\(580\) −2.61850 + 7.19428i −0.108728 + 0.298726i
\(581\) −22.9751 + 19.1164i −0.953170 + 0.793080i
\(582\) −0.0885567 + 16.8245i −0.00367079 + 0.697399i
\(583\) 27.0662 + 22.7113i 1.12097 + 0.940605i
\(584\) 3.04105 5.26725i 0.125839 0.217960i
\(585\) −0.112916 + 10.7259i −0.00466850 + 0.443462i
\(586\) −1.80809 + 1.04390i −0.0746916 + 0.0431232i
\(587\) 24.4251 + 20.4951i 1.00813 + 0.845924i 0.988090 0.153875i \(-0.0491752\pi\)
0.0200431 + 0.999799i \(0.493620\pi\)
\(588\) 12.4044 + 15.1972i 0.511549 + 0.626721i
\(589\) 4.38979 + 24.8957i 0.180878 + 1.02581i
\(590\) 5.48126 0.966494i 0.225660 0.0397899i
\(591\) 8.23411 45.3023i 0.338706 1.86349i
\(592\) −34.8594 29.2505i −1.43271 1.20219i
\(593\) 2.99491 5.18734i 0.122986 0.213018i −0.797958 0.602713i \(-0.794086\pi\)
0.920944 + 0.389695i \(0.127420\pi\)
\(594\) −12.3283 + 32.2767i −0.505837 + 1.32433i
\(595\) 0.562749 0.965426i 0.0230705 0.0395786i
\(596\) −6.23273 17.1243i −0.255303 0.701438i
\(597\) 6.03460 33.2011i 0.246980 1.35883i
\(598\) −9.00943 + 24.7532i −0.368423 + 1.01223i
\(599\) 5.26383 + 6.27319i 0.215074 + 0.256316i 0.862785 0.505570i \(-0.168718\pi\)
−0.647711 + 0.761886i \(0.724274\pi\)
\(600\) −4.05272 + 3.36445i −0.165452 + 0.137353i
\(601\) −11.1245 + 13.2576i −0.453777 + 0.540791i −0.943625 0.331018i \(-0.892608\pi\)
0.489847 + 0.871808i \(0.337052\pi\)
\(602\) −0.186011 + 44.7764i −0.00758123 + 1.82495i
\(603\) −23.3510 20.0165i −0.950927 0.815134i
\(604\) 9.85176 0.400862
\(605\) 1.03542 0.376860i 0.0420956 0.0153216i
\(606\) 44.1963 + 0.232629i 1.79535 + 0.00944992i
\(607\) −12.6088 15.0266i −0.511776 0.609911i 0.446839 0.894614i \(-0.352550\pi\)
−0.958616 + 0.284703i \(0.908105\pi\)
\(608\) −24.9973 9.09826i −1.01377 0.368983i
\(609\) 12.2054 20.6879i 0.494588 0.838318i
\(610\) 0.0182216 0.103340i 0.000737771 0.00418411i
\(611\) 13.2140i 0.534582i
\(612\) 0.417873 2.23220i 0.0168915 0.0902315i
\(613\) 27.8234 1.12378 0.561889 0.827213i \(-0.310075\pi\)
0.561889 + 0.827213i \(0.310075\pi\)
\(614\) −12.2515 + 4.45920i −0.494432 + 0.179959i
\(615\) 1.56644 4.23428i 0.0631649 0.170743i
\(616\) 1.13954 + 6.62345i 0.0459135 + 0.266866i
\(617\) −18.1901 21.6782i −0.732308 0.872730i 0.263457 0.964671i \(-0.415137\pi\)
−0.995764 + 0.0919408i \(0.970693\pi\)
\(618\) 48.8649 + 8.88164i 1.96563 + 0.357272i
\(619\) −18.7035 + 22.2899i −0.751755 + 0.895907i −0.997297 0.0734791i \(-0.976590\pi\)
0.245542 + 0.969386i \(0.421034\pi\)
\(620\) 8.81223 5.08774i 0.353908 0.204329i
\(621\) −16.9727 6.48285i −0.681091 0.260148i
\(622\) 42.4655i 1.70271i
\(623\) −6.13449 5.19103i −0.245773 0.207974i
\(624\) 24.1614 + 20.4915i 0.967230 + 0.820317i
\(625\) 2.33381 + 13.2357i 0.0933525 + 0.529428i
\(626\) 1.47359 1.23649i 0.0588964 0.0494200i
\(627\) 7.62331 20.6067i 0.304446 0.822954i
\(628\) 2.64535 + 7.26804i 0.105561 + 0.290026i
\(629\) −2.30512 + 3.99258i −0.0919110 + 0.159194i
\(630\) 11.9020 6.64056i 0.474185 0.264566i
\(631\) 3.11061 + 5.38773i 0.123831 + 0.214482i 0.921275 0.388911i \(-0.127149\pi\)
−0.797444 + 0.603393i \(0.793815\pi\)
\(632\) −4.41368 + 5.26002i −0.175567 + 0.209233i
\(633\) 8.02464 4.57688i 0.318951 0.181915i
\(634\) −8.20950 46.5584i −0.326041 1.84907i
\(635\) 5.70954 4.79088i 0.226576 0.190120i
\(636\) −14.0329 24.6039i −0.556440 0.975606i
\(637\) 9.26569 + 26.1308i 0.367120 + 1.03534i
\(638\) −30.1838 + 17.4266i −1.19499 + 0.689926i
\(639\) 2.68099 7.13147i 0.106058 0.282116i
\(640\) 5.15209i 0.203654i
\(641\) 6.29675 + 1.11029i 0.248707 + 0.0438537i 0.296612 0.954998i \(-0.404143\pi\)
−0.0479049 + 0.998852i \(0.515254\pi\)
\(642\) −16.9386 + 45.7872i −0.668514 + 1.80708i
\(643\) 2.20568 0.388920i 0.0869834 0.0153375i −0.129987 0.991516i \(-0.541494\pi\)
0.216970 + 0.976178i \(0.430382\pi\)
\(644\) 14.7512 2.53790i 0.581279 0.100007i
\(645\) 13.6880 + 2.48792i 0.538964 + 0.0979616i
\(646\) −0.560763 + 3.18024i −0.0220629 + 0.125125i
\(647\) −13.4891 23.3638i −0.530311 0.918525i −0.999375 0.0353609i \(-0.988742\pi\)
0.469064 0.883164i \(-0.344591\pi\)
\(648\) −4.30826 + 4.92019i −0.169244 + 0.193283i
\(649\) 9.81311 + 5.66560i 0.385198 + 0.222394i
\(650\) 29.6272 10.7834i 1.16208 0.422961i
\(651\) −30.1009 + 10.6359i −1.17975 + 0.416854i
\(652\) 9.86695 8.27936i 0.386420 0.324245i
\(653\) −7.80301 + 21.4386i −0.305355 + 0.838957i 0.688191 + 0.725529i \(0.258405\pi\)
−0.993546 + 0.113427i \(0.963817\pi\)
\(654\) 7.52003 6.24290i 0.294056 0.244117i
\(655\) 3.25196 18.4428i 0.127065 0.720620i
\(656\) −6.66715 11.5478i −0.260308 0.450867i
\(657\) −15.9372 19.4044i −0.621768 0.757037i
\(658\) −14.5751 + 8.33441i −0.568197 + 0.324909i
\(659\) 21.2918 + 3.75431i 0.829409 + 0.146247i 0.572206 0.820110i \(-0.306088\pi\)
0.257203 + 0.966357i \(0.417199\pi\)
\(660\) −8.84378 0.0465496i −0.344244 0.00181194i
\(661\) 28.7597 5.07112i 1.11862 0.197244i 0.416387 0.909187i \(-0.363296\pi\)
0.702237 + 0.711944i \(0.252185\pi\)
\(662\) −49.7239 + 8.76767i −1.93258 + 0.340765i
\(663\) 1.61942 2.77112i 0.0628929 0.107621i
\(664\) 8.08394 + 1.42542i 0.313718 + 0.0553169i
\(665\) −7.52381 + 4.30230i −0.291761 + 0.166836i
\(666\) −48.9886 + 27.6001i −1.89827 + 1.06948i
\(667\) −9.16379 15.8721i −0.354823 0.614572i
\(668\) 6.31328 35.8044i 0.244268 1.38531i
\(669\) 13.7656 + 5.09248i 0.532208 + 0.196887i
\(670\) 6.02085 16.5422i 0.232606 0.639079i
\(671\) 0.163651 0.137319i 0.00631766 0.00530115i
\(672\) 6.14483 33.0271i 0.237042 1.27405i
\(673\) 22.4647 8.17648i 0.865950 0.315180i 0.129424 0.991589i \(-0.458687\pi\)
0.736526 + 0.676409i \(0.236465\pi\)
\(674\) 40.8387 + 23.5782i 1.57305 + 0.908199i
\(675\) 7.11404 + 20.5496i 0.273819 + 0.790954i
\(676\) −2.17387 3.76525i −0.0836104 0.144817i
\(677\) −5.37818 + 30.5012i −0.206700 + 1.17225i 0.688042 + 0.725671i \(0.258471\pi\)
−0.894742 + 0.446584i \(0.852641\pi\)
\(678\) 13.5320 + 37.7966i 0.519692 + 1.45157i
\(679\) 13.3159 2.29096i 0.511017 0.0879188i
\(680\) −0.302246 + 0.0532942i −0.0115906 + 0.00204374i
\(681\) −24.8834 29.9739i −0.953534 1.14860i
\(682\) 45.6192 + 8.04390i 1.74685 + 0.308017i
\(683\) 3.83140i 0.146604i −0.997310 0.0733022i \(-0.976646\pi\)
0.997310 0.0733022i \(-0.0233538\pi\)
\(684\) −11.4632 + 13.3729i −0.438308 + 0.511326i
\(685\) −9.53964 + 5.50771i −0.364491 + 0.210439i
\(686\) 22.9782 26.7014i 0.877313 1.01947i
\(687\) −0.692995 + 1.18584i −0.0264394 + 0.0452428i
\(688\) 31.4767 26.4121i 1.20004 1.00695i
\(689\) −6.95137 39.4232i −0.264826 1.50190i
\(690\) 0.0547359 10.3991i 0.00208376 0.395885i
\(691\) −5.31576 + 6.33507i −0.202221 + 0.240998i −0.857618 0.514287i \(-0.828057\pi\)
0.655397 + 0.755284i \(0.272501\pi\)
\(692\) 6.26547 + 10.8521i 0.238177 + 0.412535i
\(693\) 27.2518 + 5.21885i 1.03521 + 0.198248i
\(694\) −17.8241 + 30.8723i −0.676594 + 1.17190i
\(695\) 5.55371 + 15.2587i 0.210664 + 0.578795i
\(696\) −6.50275 + 1.11135i −0.246486 + 0.0421257i
\(697\) −1.03486 + 0.868348i −0.0391980 + 0.0328910i
\(698\) −8.02953 45.5377i −0.303922 1.72363i
\(699\) 14.1500 5.06600i 0.535203 0.191614i
\(700\) −13.6759 11.5726i −0.516900 0.437402i
\(701\) 19.8898i 0.751226i −0.926777 0.375613i \(-0.877432\pi\)
0.926777 0.375613i \(-0.122568\pi\)
\(702\) 34.2062 19.0352i 1.29103 0.718439i
\(703\) 30.9663 17.8784i 1.16792 0.674296i
\(704\) −10.5784 + 12.6068i −0.398688 + 0.475138i
\(705\) 1.75836 + 4.91134i 0.0662237 + 0.184972i
\(706\) 27.9732 + 33.3371i 1.05278 + 1.25466i
\(707\) −6.01811 34.9795i −0.226334 1.31554i
\(708\) −5.80219 6.98916i −0.218060 0.262669i
\(709\) −13.1341 + 4.78042i −0.493262 + 0.179533i −0.576661 0.816984i \(-0.695645\pi\)
0.0833991 + 0.996516i \(0.473422\pi\)
\(710\) 4.36075 0.163656
\(711\) 13.9151 + 24.6984i 0.521856 + 0.926264i
\(712\) 2.20709i 0.0827141i
\(713\) −4.22989 + 23.9889i −0.158410 + 0.898390i
\(714\) −4.07796 0.0384061i −0.152614 0.00143731i
\(715\) −11.7454 4.27499i −0.439254 0.159876i
\(716\) 1.94595 + 2.31910i 0.0727237 + 0.0866687i
\(717\) −19.5851 + 33.5137i −0.731417 + 1.25159i
\(718\) 14.9292 5.43377i 0.557151 0.202786i
\(719\) −31.4331 −1.17226 −0.586128 0.810218i \(-0.699348\pi\)
−0.586128 + 0.810218i \(0.699348\pi\)
\(720\) −11.7070 4.40110i −0.436294 0.164019i
\(721\) 0.165690 39.8847i 0.00617061 1.48538i
\(722\) −7.13076 + 8.49811i −0.265380 + 0.316267i
\(723\) 17.0805 + 6.31879i 0.635229 + 0.234998i
\(724\) −21.8308 26.0170i −0.811337 0.966914i
\(725\) −7.50268 + 20.6134i −0.278643 + 0.765564i
\(726\) −3.06678 2.60096i −0.113819 0.0965308i
\(727\) −9.57818 26.3158i −0.355235 0.976000i −0.980661 0.195716i \(-0.937297\pi\)
0.625426 0.780284i \(-0.284925\pi\)
\(728\) 3.83464 6.57853i 0.142121 0.243817i
\(729\) 12.7549 + 23.7973i 0.472405 + 0.881381i
\(730\) 7.18617 12.4468i 0.265972 0.460677i
\(731\) −3.18893 2.67583i −0.117947 0.0989692i
\(732\) −0.161236 + 0.0577258i −0.00595945 + 0.00213361i
\(733\) −24.5292 + 4.32516i −0.906006 + 0.159753i −0.607189 0.794557i \(-0.707703\pi\)
−0.298817 + 0.954311i \(0.596592\pi\)
\(734\) 3.22409 + 18.2847i 0.119003 + 0.674900i
\(735\) −6.92101 8.47923i −0.255285 0.312761i
\(736\) −19.6357 16.4763i −0.723780 0.607324i
\(737\) 31.0373 17.9194i 1.14327 0.660070i
\(738\) −16.2552 + 2.69012i −0.598363 + 0.0990246i
\(739\) −23.2659 + 40.2978i −0.855851 + 1.48238i 0.0200017 + 0.999800i \(0.493633\pi\)
−0.875853 + 0.482578i \(0.839701\pi\)
\(740\) −11.0254 9.25140i −0.405301 0.340088i
\(741\) −21.6237 + 12.3332i −0.794368 + 0.453071i
\(742\) −39.0995 + 32.5326i −1.43539 + 1.19431i
\(743\) −11.9890 + 32.9395i −0.439834 + 1.20843i 0.499767 + 0.866160i \(0.333419\pi\)
−0.939600 + 0.342273i \(0.888803\pi\)
\(744\) 7.57016 + 4.42392i 0.277535 + 0.162189i
\(745\) 3.47754 + 9.55446i 0.127407 + 0.350048i
\(746\) −17.4580 10.0794i −0.639185 0.369033i
\(747\) 17.2529 29.1694i 0.631251 1.06725i
\(748\) 2.29176 + 1.32315i 0.0837949 + 0.0483790i
\(749\) 38.5817 + 6.96838i 1.40975 + 0.254619i
\(750\) −21.0185 + 17.4489i −0.767488 + 0.637145i
\(751\) −3.85948 1.40474i −0.140834 0.0512595i 0.270641 0.962680i \(-0.412764\pi\)
−0.411476 + 0.911421i \(0.634986\pi\)
\(752\) 14.4781 + 5.26961i 0.527963 + 0.192163i
\(753\) −16.0589 2.91885i −0.585217 0.106369i
\(754\) 38.8884 + 6.85708i 1.41623 + 0.249720i
\(755\) −5.49677 −0.200048
\(756\) −19.0378 11.5037i −0.692398 0.418386i
\(757\) −15.6872 −0.570161 −0.285081 0.958504i \(-0.592020\pi\)
−0.285081 + 0.958504i \(0.592020\pi\)
\(758\) −11.7349 2.06918i −0.426231 0.0751560i
\(759\) 13.6938 16.1463i 0.497054 0.586073i
\(760\) 2.23682 + 0.814136i 0.0811380 + 0.0295318i
\(761\) −26.4207 9.61636i −0.957751 0.348593i −0.184599 0.982814i \(-0.559099\pi\)
−0.773152 + 0.634221i \(0.781321\pi\)
\(762\) −25.5107 9.43749i −0.924155 0.341884i
\(763\) −5.99166 5.07016i −0.216912 0.183552i
\(764\) 14.3632 + 8.29258i 0.519641 + 0.300015i
\(765\) −0.233151 + 1.24545i −0.00842960 + 0.0450295i
\(766\) 13.7794 + 7.95553i 0.497869 + 0.287445i
\(767\) −4.39091 12.0639i −0.158546 0.435603i
\(768\) −30.4983 + 17.3948i −1.10051 + 0.627681i
\(769\) 9.49574 26.0893i 0.342425 0.940806i −0.642263 0.766484i \(-0.722004\pi\)
0.984689 0.174322i \(-0.0557733\pi\)
\(770\) 2.69281 + 15.6516i 0.0970420 + 0.564045i
\(771\) 17.6320 + 10.3040i 0.635001 + 0.371088i
\(772\) 12.4969 + 10.4861i 0.449772 + 0.377403i
\(773\) −6.54808 + 11.3416i −0.235518 +