Properties

Label 91.2.w.a.80.5
Level $91$
Weight $2$
Character 91.80
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 80.5
Character \(\chi\) \(=\) 91.80
Dual form 91.2.w.a.33.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0745816 + 0.278342i) q^{2} +1.06594i q^{3} +(1.66014 - 0.958482i) q^{4} +(0.133809 - 0.499383i) q^{5} +(-0.296695 + 0.0794993i) q^{6} +(-2.03333 + 1.69280i) q^{7} +(0.798123 + 0.798123i) q^{8} +1.86378 q^{9} +O(q^{10})\) \(q+(0.0745816 + 0.278342i) q^{2} +1.06594i q^{3} +(1.66014 - 0.958482i) q^{4} +(0.133809 - 0.499383i) q^{5} +(-0.296695 + 0.0794993i) q^{6} +(-2.03333 + 1.69280i) q^{7} +(0.798123 + 0.798123i) q^{8} +1.86378 q^{9} +0.148979 q^{10} +(-2.70707 - 2.70707i) q^{11} +(1.02168 + 1.76960i) q^{12} +(-1.12494 + 3.42557i) q^{13} +(-0.622826 - 0.439711i) q^{14} +(0.532311 + 0.142632i) q^{15} +(1.75434 - 3.03860i) q^{16} +(-2.26016 - 3.91471i) q^{17} +(0.139003 + 0.518768i) q^{18} +(-2.17974 - 2.17974i) q^{19} +(-0.256508 - 0.957300i) q^{20} +(-1.80442 - 2.16740i) q^{21} +(0.551594 - 0.955389i) q^{22} +(-7.51600 - 4.33936i) q^{23} +(-0.850749 + 0.850749i) q^{24} +(4.09865 + 2.36636i) q^{25} +(-1.03738 - 0.0576354i) q^{26} +5.18448i q^{27} +(-1.75310 + 4.75919i) q^{28} +(1.26720 + 2.19486i) q^{29} +0.158802i q^{30} +(1.00987 - 0.270595i) q^{31} +(3.15712 + 0.845949i) q^{32} +(2.88557 - 2.88557i) q^{33} +(0.921063 - 0.921063i) q^{34} +(0.573276 + 1.24192i) q^{35} +(3.09413 - 1.78640i) q^{36} +(0.176900 - 0.0474003i) q^{37} +(0.444144 - 0.769281i) q^{38} +(-3.65144 - 1.19912i) q^{39} +(0.505366 - 0.291773i) q^{40} +(-1.79081 + 6.68338i) q^{41} +(0.468704 - 0.663893i) q^{42} +(4.59244 + 2.65145i) q^{43} +(-7.08879 - 1.89943i) q^{44} +(0.249391 - 0.930740i) q^{45} +(0.647273 - 2.41566i) q^{46} +(9.03333 + 2.42047i) q^{47} +(3.23896 + 1.87001i) q^{48} +(1.26888 - 6.88404i) q^{49} +(-0.352973 + 1.31731i) q^{50} +(4.17284 - 2.40919i) q^{51} +(1.41578 + 6.76515i) q^{52} +(0.512534 - 0.887735i) q^{53} +(-1.44306 + 0.386667i) q^{54} +(-1.71410 + 0.989634i) q^{55} +(-2.97391 - 0.271789i) q^{56} +(2.32346 - 2.32346i) q^{57} +(-0.516412 + 0.516412i) q^{58} +(0.503336 + 0.134868i) q^{59} +(1.02042 - 0.273421i) q^{60} +8.53647i q^{61} +(0.150636 + 0.260909i) q^{62} +(-3.78968 + 3.15500i) q^{63} -6.07549i q^{64} +(1.56014 + 1.02015i) q^{65} +(1.01838 + 0.587965i) q^{66} +(-5.00628 + 5.00628i) q^{67} +(-7.50436 - 4.33264i) q^{68} +(4.62549 - 8.01158i) q^{69} +(-0.302924 + 0.252192i) q^{70} +(1.96522 + 7.33429i) q^{71} +(1.48752 + 1.48752i) q^{72} +(-3.20113 - 11.9468i) q^{73} +(0.0263870 + 0.0457036i) q^{74} +(-2.52239 + 4.36890i) q^{75} +(-5.70790 - 1.52943i) q^{76} +(10.0869 + 0.921852i) q^{77} +(0.0614358 - 1.10578i) q^{78} +(3.77800 + 6.54369i) q^{79} +(-1.28268 - 1.28268i) q^{80} +0.0650005 q^{81} -1.99383 q^{82} +(-6.42827 - 6.42827i) q^{83} +(-5.07300 - 1.86869i) q^{84} +(-2.25737 + 0.604861i) q^{85} +(-0.395498 + 1.47602i) q^{86} +(-2.33958 + 1.35076i) q^{87} -4.32115i q^{88} +(-3.13675 - 11.7065i) q^{89} +0.277664 q^{90} +(-3.51140 - 8.86961i) q^{91} -16.6368 q^{92} +(0.288437 + 1.07646i) q^{93} +2.69488i q^{94} +(-1.38019 + 0.796855i) q^{95} +(-0.901729 + 3.36530i) q^{96} +(13.1956 - 3.53575i) q^{97} +(2.01075 - 0.160240i) q^{98} +(-5.04538 - 5.04538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} - 12q^{10} + 2q^{11} + 8q^{12} - 20q^{14} + 10q^{15} - 2q^{16} - 6q^{17} - 4q^{18} - 8q^{19} - 36q^{20} - 2q^{21} - 8q^{22} - 6q^{23} + 12q^{24} + 24q^{26} - 18q^{28} - 8q^{29} - 38q^{31} - 20q^{32} + 18q^{33} + 12q^{34} - 2q^{35} + 54q^{36} - 16q^{37} + 28q^{39} + 48q^{40} + 18q^{41} - 4q^{42} + 48q^{43} - 6q^{44} + 12q^{45} + 18q^{46} - 42q^{47} + 12q^{48} + 8q^{49} + 10q^{50} + 12q^{51} - 28q^{52} + 12q^{53} - 30q^{54} - 6q^{55} - 24q^{56} + 12q^{57} + 62q^{58} - 6q^{59} + 16q^{60} - 36q^{62} - 38q^{63} - 2q^{65} + 66q^{66} - 4q^{67} + 30q^{68} + 42q^{69} + 68q^{70} - 42q^{71} - 38q^{72} + 14q^{73} - 6q^{74} - 20q^{75} + 52q^{76} - 62q^{78} + 4q^{79} + 12q^{80} + 12q^{81} - 108q^{82} - 66q^{83} - 56q^{84} - 54q^{85} - 30q^{86} + 42q^{87} - 30q^{89} - 72q^{90} - 42q^{91} - 156q^{92} + 14q^{93} - 6q^{95} + 18q^{96} + 62q^{97} + 112q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0745816 + 0.278342i 0.0527371 + 0.196818i 0.987268 0.159063i \(-0.0508475\pi\)
−0.934531 + 0.355881i \(0.884181\pi\)
\(3\) 1.06594i 0.615419i 0.951480 + 0.307710i \(0.0995625\pi\)
−0.951480 + 0.307710i \(0.900437\pi\)
\(4\) 1.66014 0.958482i 0.830069 0.479241i
\(5\) 0.133809 0.499383i 0.0598414 0.223331i −0.929529 0.368749i \(-0.879786\pi\)
0.989370 + 0.145418i \(0.0464528\pi\)
\(6\) −0.296695 + 0.0794993i −0.121125 + 0.0324554i
\(7\) −2.03333 + 1.69280i −0.768527 + 0.639817i
\(8\) 0.798123 + 0.798123i 0.282179 + 0.282179i
\(9\) 1.86378 0.621259
\(10\) 0.148979 0.0471114
\(11\) −2.70707 2.70707i −0.816212 0.816212i 0.169345 0.985557i \(-0.445835\pi\)
−0.985557 + 0.169345i \(0.945835\pi\)
\(12\) 1.02168 + 1.76960i 0.294934 + 0.510841i
\(13\) −1.12494 + 3.42557i −0.312003 + 0.950081i
\(14\) −0.622826 0.439711i −0.166457 0.117518i
\(15\) 0.532311 + 0.142632i 0.137442 + 0.0368275i
\(16\) 1.75434 3.03860i 0.438584 0.759650i
\(17\) −2.26016 3.91471i −0.548169 0.949457i −0.998400 0.0565446i \(-0.981992\pi\)
0.450231 0.892912i \(-0.351342\pi\)
\(18\) 0.139003 + 0.518768i 0.0327634 + 0.122275i
\(19\) −2.17974 2.17974i −0.500066 0.500066i 0.411393 0.911458i \(-0.365043\pi\)
−0.911458 + 0.411393i \(0.865043\pi\)
\(20\) −0.256508 0.957300i −0.0573569 0.214059i
\(21\) −1.80442 2.16740i −0.393756 0.472966i
\(22\) 0.551594 0.955389i 0.117600 0.203690i
\(23\) −7.51600 4.33936i −1.56719 0.904820i −0.996494 0.0836605i \(-0.973339\pi\)
−0.570699 0.821159i \(-0.693328\pi\)
\(24\) −0.850749 + 0.850749i −0.173658 + 0.173658i
\(25\) 4.09865 + 2.36636i 0.819730 + 0.473271i
\(26\) −1.03738 0.0576354i −0.203447 0.0113032i
\(27\) 5.18448i 0.997754i
\(28\) −1.75310 + 4.75919i −0.331305 + 0.899402i
\(29\) 1.26720 + 2.19486i 0.235314 + 0.407575i 0.959364 0.282172i \(-0.0910549\pi\)
−0.724050 + 0.689747i \(0.757722\pi\)
\(30\) 0.158802i 0.0289932i
\(31\) 1.00987 0.270595i 0.181378 0.0486002i −0.166987 0.985959i \(-0.553404\pi\)
0.348365 + 0.937359i \(0.386737\pi\)
\(32\) 3.15712 + 0.845949i 0.558106 + 0.149544i
\(33\) 2.88557 2.88557i 0.502313 0.502313i
\(34\) 0.921063 0.921063i 0.157961 0.157961i
\(35\) 0.573276 + 1.24192i 0.0969013 + 0.209924i
\(36\) 3.09413 1.78640i 0.515688 0.297733i
\(37\) 0.176900 0.0474003i 0.0290822 0.00779255i −0.244249 0.969713i \(-0.578541\pi\)
0.273331 + 0.961920i \(0.411875\pi\)
\(38\) 0.444144 0.769281i 0.0720497 0.124794i
\(39\) −3.65144 1.19912i −0.584698 0.192013i
\(40\) 0.505366 0.291773i 0.0799053 0.0461334i
\(41\) −1.79081 + 6.68338i −0.279677 + 1.04377i 0.672965 + 0.739674i \(0.265020\pi\)
−0.952642 + 0.304094i \(0.901646\pi\)
\(42\) 0.468704 0.663893i 0.0723226 0.102441i
\(43\) 4.59244 + 2.65145i 0.700341 + 0.404342i 0.807474 0.589903i \(-0.200834\pi\)
−0.107134 + 0.994245i \(0.534167\pi\)
\(44\) −7.08879 1.89943i −1.06867 0.286351i
\(45\) 0.249391 0.930740i 0.0371770 0.138746i
\(46\) 0.647273 2.41566i 0.0954352 0.356169i
\(47\) 9.03333 + 2.42047i 1.31765 + 0.353063i 0.848096 0.529843i \(-0.177749\pi\)
0.469551 + 0.882905i \(0.344416\pi\)
\(48\) 3.23896 + 1.87001i 0.467503 + 0.269913i
\(49\) 1.26888 6.88404i 0.181268 0.983434i
\(50\) −0.352973 + 1.31731i −0.0499179 + 0.186296i
\(51\) 4.17284 2.40919i 0.584314 0.337354i
\(52\) 1.41578 + 6.76515i 0.196333 + 0.938158i
\(53\) 0.512534 0.887735i 0.0704019 0.121940i −0.828676 0.559729i \(-0.810905\pi\)
0.899078 + 0.437789i \(0.144238\pi\)
\(54\) −1.44306 + 0.386667i −0.196376 + 0.0526187i
\(55\) −1.71410 + 0.989634i −0.231129 + 0.133442i
\(56\) −2.97391 0.271789i −0.397405 0.0363193i
\(57\) 2.32346 2.32346i 0.307750 0.307750i
\(58\) −0.516412 + 0.516412i −0.0678083 + 0.0678083i
\(59\) 0.503336 + 0.134868i 0.0655287 + 0.0175584i 0.291434 0.956591i \(-0.405867\pi\)
−0.225906 + 0.974149i \(0.572534\pi\)
\(60\) 1.02042 0.273421i 0.131736 0.0352985i
\(61\) 8.53647i 1.09298i 0.837465 + 0.546491i \(0.184037\pi\)
−0.837465 + 0.546491i \(0.815963\pi\)
\(62\) 0.150636 + 0.260909i 0.0191308 + 0.0331355i
\(63\) −3.78968 + 3.15500i −0.477455 + 0.397492i
\(64\) 6.07549i 0.759437i
\(65\) 1.56014 + 1.02015i 0.193512 + 0.126534i
\(66\) 1.01838 + 0.587965i 0.125355 + 0.0723735i
\(67\) −5.00628 + 5.00628i −0.611615 + 0.611615i −0.943367 0.331752i \(-0.892360\pi\)
0.331752 + 0.943367i \(0.392360\pi\)
\(68\) −7.50436 4.33264i −0.910037 0.525410i
\(69\) 4.62549 8.01158i 0.556843 0.964481i
\(70\) −0.302924 + 0.252192i −0.0362064 + 0.0301427i
\(71\) 1.96522 + 7.33429i 0.233228 + 0.870420i 0.978940 + 0.204150i \(0.0654432\pi\)
−0.745711 + 0.666269i \(0.767890\pi\)
\(72\) 1.48752 + 1.48752i 0.175306 + 0.175306i
\(73\) −3.20113 11.9468i −0.374664 1.39826i −0.853835 0.520543i \(-0.825729\pi\)
0.479171 0.877721i \(-0.340937\pi\)
\(74\) 0.0263870 + 0.0457036i 0.00306742 + 0.00531294i
\(75\) −2.52239 + 4.36890i −0.291260 + 0.504477i
\(76\) −5.70790 1.52943i −0.654741 0.175437i
\(77\) 10.0869 + 0.921852i 1.14951 + 0.105055i
\(78\) 0.0614358 1.10578i 0.00695623 0.125205i
\(79\) 3.77800 + 6.54369i 0.425058 + 0.736222i 0.996426 0.0844720i \(-0.0269204\pi\)
−0.571368 + 0.820694i \(0.693587\pi\)
\(80\) −1.28268 1.28268i −0.143408 0.143408i
\(81\) 0.0650005 0.00722228
\(82\) −1.99383 −0.220181
\(83\) −6.42827 6.42827i −0.705594 0.705594i 0.260011 0.965606i \(-0.416274\pi\)
−0.965606 + 0.260011i \(0.916274\pi\)
\(84\) −5.07300 1.86869i −0.553509 0.203891i
\(85\) −2.25737 + 0.604861i −0.244846 + 0.0656064i
\(86\) −0.395498 + 1.47602i −0.0426477 + 0.159163i
\(87\) −2.33958 + 1.35076i −0.250830 + 0.144817i
\(88\) 4.32115i 0.460636i
\(89\) −3.13675 11.7065i −0.332495 1.24089i −0.906560 0.422078i \(-0.861301\pi\)
0.574065 0.818810i \(-0.305366\pi\)
\(90\) 0.277664 0.0292684
\(91\) −3.51140 8.86961i −0.368095 0.929788i
\(92\) −16.6368 −1.73451
\(93\) 0.288437 + 1.07646i 0.0299095 + 0.111624i
\(94\) 2.69488i 0.277956i
\(95\) −1.38019 + 0.796855i −0.141605 + 0.0817556i
\(96\) −0.901729 + 3.36530i −0.0920323 + 0.343469i
\(97\) 13.1956 3.53575i 1.33981 0.359001i 0.483446 0.875374i \(-0.339385\pi\)
0.856364 + 0.516373i \(0.172718\pi\)
\(98\) 2.01075 0.160240i 0.203117 0.0161867i
\(99\) −5.04538 5.04538i −0.507079 0.507079i
\(100\) 9.07243 0.907243
\(101\) 1.11161 0.110610 0.0553049 0.998470i \(-0.482387\pi\)
0.0553049 + 0.998470i \(0.482387\pi\)
\(102\) 0.981795 + 0.981795i 0.0972122 + 0.0972122i
\(103\) −0.214188 0.370984i −0.0211046 0.0365542i 0.855280 0.518166i \(-0.173385\pi\)
−0.876385 + 0.481612i \(0.840052\pi\)
\(104\) −3.63187 + 1.83618i −0.356134 + 0.180052i
\(105\) −1.32381 + 0.611076i −0.129191 + 0.0596349i
\(106\) 0.285320 + 0.0764512i 0.0277127 + 0.00742559i
\(107\) −2.50817 + 4.34428i −0.242474 + 0.419977i −0.961418 0.275090i \(-0.911292\pi\)
0.718944 + 0.695068i \(0.244626\pi\)
\(108\) 4.96923 + 8.60696i 0.478164 + 0.828205i
\(109\) 0.219786 + 0.820253i 0.0210517 + 0.0785660i 0.975653 0.219322i \(-0.0703845\pi\)
−0.954601 + 0.297888i \(0.903718\pi\)
\(110\) −0.403297 0.403297i −0.0384529 0.0384529i
\(111\) 0.0505257 + 0.188564i 0.00479569 + 0.0178977i
\(112\) 1.57658 + 9.14822i 0.148973 + 0.864426i
\(113\) 2.44889 4.24160i 0.230372 0.399016i −0.727546 0.686059i \(-0.759339\pi\)
0.957918 + 0.287043i \(0.0926724\pi\)
\(114\) 0.820005 + 0.473430i 0.0768005 + 0.0443408i
\(115\) −3.17272 + 3.17272i −0.295857 + 0.295857i
\(116\) 4.20747 + 2.42918i 0.390653 + 0.225544i
\(117\) −2.09665 + 6.38449i −0.193835 + 0.590247i
\(118\) 0.150158i 0.0138232i
\(119\) 11.2225 + 4.13392i 1.02876 + 0.378955i
\(120\) 0.311012 + 0.538688i 0.0283914 + 0.0491753i
\(121\) 3.65645i 0.332404i
\(122\) −2.37606 + 0.636663i −0.215118 + 0.0576408i
\(123\) −7.12406 1.90889i −0.642355 0.172119i
\(124\) 1.41717 1.41717i 0.127266 0.127266i
\(125\) 3.55803 3.55803i 0.318240 0.318240i
\(126\) −1.16081 0.819523i −0.103413 0.0730089i
\(127\) −3.00665 + 1.73589i −0.266797 + 0.154035i −0.627431 0.778672i \(-0.715894\pi\)
0.360634 + 0.932707i \(0.382560\pi\)
\(128\) 8.00532 2.14502i 0.707577 0.189595i
\(129\) −2.82628 + 4.89525i −0.248840 + 0.431003i
\(130\) −0.167593 + 0.510338i −0.0146989 + 0.0447596i
\(131\) 15.0157 8.66932i 1.31193 0.757442i 0.329512 0.944151i \(-0.393116\pi\)
0.982415 + 0.186710i \(0.0597823\pi\)
\(132\) 2.02468 7.55620i 0.176226 0.657683i
\(133\) 8.12198 + 0.742277i 0.704265 + 0.0643635i
\(134\) −1.76684 1.02008i −0.152631 0.0881218i
\(135\) 2.58904 + 0.693732i 0.222829 + 0.0597070i
\(136\) 1.32054 4.92831i 0.113235 0.422599i
\(137\) −2.44489 + 9.12446i −0.208881 + 0.779555i 0.779350 + 0.626589i \(0.215549\pi\)
−0.988231 + 0.152966i \(0.951117\pi\)
\(138\) 2.57494 + 0.689952i 0.219193 + 0.0587327i
\(139\) −13.1525 7.59358i −1.11558 0.644079i −0.175310 0.984513i \(-0.556093\pi\)
−0.940268 + 0.340434i \(0.889426\pi\)
\(140\) 2.14208 + 1.51229i 0.181039 + 0.127812i
\(141\) −2.58007 + 9.62897i −0.217281 + 0.810905i
\(142\) −1.89487 + 1.09401i −0.159014 + 0.0918069i
\(143\) 12.3185 6.22794i 1.03013 0.520807i
\(144\) 3.26969 5.66328i 0.272475 0.471940i
\(145\) 1.26564 0.339127i 0.105106 0.0281630i
\(146\) 3.08655 1.78202i 0.255444 0.147481i
\(147\) 7.33795 + 1.35254i 0.605224 + 0.111556i
\(148\) 0.248247 0.248247i 0.0204057 0.0204057i
\(149\) −10.1579 + 10.1579i −0.832170 + 0.832170i −0.987813 0.155643i \(-0.950255\pi\)
0.155643 + 0.987813i \(0.450255\pi\)
\(150\) −1.40417 0.376247i −0.114650 0.0307205i
\(151\) −4.79468 + 1.28473i −0.390185 + 0.104550i −0.448578 0.893744i \(-0.648069\pi\)
0.0583923 + 0.998294i \(0.481403\pi\)
\(152\) 3.47940i 0.282216i
\(153\) −4.21243 7.29615i −0.340555 0.589859i
\(154\) 0.495706 + 2.87636i 0.0399451 + 0.231784i
\(155\) 0.540522i 0.0434157i
\(156\) −7.21123 + 1.50913i −0.577360 + 0.120827i
\(157\) 3.02404 + 1.74593i 0.241345 + 0.139340i 0.615795 0.787907i \(-0.288835\pi\)
−0.374450 + 0.927247i \(0.622168\pi\)
\(158\) −1.53961 + 1.53961i −0.122485 + 0.122485i
\(159\) 0.946269 + 0.546329i 0.0750440 + 0.0433267i
\(160\) 0.844906 1.46342i 0.0667957 0.115693i
\(161\) 22.6282 3.89969i 1.78335 0.307339i
\(162\) 0.00484784 + 0.0180924i 0.000380882 + 0.00142147i
\(163\) 1.62342 + 1.62342i 0.127156 + 0.127156i 0.767821 0.640665i \(-0.221341\pi\)
−0.640665 + 0.767821i \(0.721341\pi\)
\(164\) 3.43291 + 12.8118i 0.268065 + 1.00043i
\(165\) −1.05489 1.82712i −0.0821229 0.142241i
\(166\) 1.30983 2.26869i 0.101662 0.176085i
\(167\) 20.2547 + 5.42723i 1.56736 + 0.419972i 0.934983 0.354693i \(-0.115415\pi\)
0.632372 + 0.774665i \(0.282081\pi\)
\(168\) 0.289710 3.17000i 0.0223516 0.244571i
\(169\) −10.4690 7.70714i −0.805308 0.592857i
\(170\) −0.336717 0.583210i −0.0258250 0.0447302i
\(171\) −4.06254 4.06254i −0.310670 0.310670i
\(172\) 10.1655 0.775108
\(173\) −20.0875 −1.52723 −0.763613 0.645674i \(-0.776577\pi\)
−0.763613 + 0.645674i \(0.776577\pi\)
\(174\) −0.550463 0.550463i −0.0417305 0.0417305i
\(175\) −12.3397 + 2.12659i −0.932792 + 0.160755i
\(176\) −12.9748 + 3.47659i −0.978013 + 0.262058i
\(177\) −0.143761 + 0.536524i −0.0108058 + 0.0403276i
\(178\) 3.02447 1.74618i 0.226694 0.130882i
\(179\) 21.4282i 1.60162i 0.598919 + 0.800810i \(0.295597\pi\)
−0.598919 + 0.800810i \(0.704403\pi\)
\(180\) −0.478073 1.78419i −0.0356335 0.132986i
\(181\) −19.7532 −1.46824 −0.734121 0.679019i \(-0.762405\pi\)
−0.734121 + 0.679019i \(0.762405\pi\)
\(182\) 2.20690 1.63888i 0.163586 0.121482i
\(183\) −9.09934 −0.672643
\(184\) −2.53534 9.46203i −0.186908 0.697550i
\(185\) 0.0946836i 0.00696128i
\(186\) −0.278112 + 0.160568i −0.0203922 + 0.0117734i
\(187\) −4.47898 + 16.7158i −0.327536 + 1.22238i
\(188\) 17.3166 4.63996i 1.26294 0.338404i
\(189\) −8.77627 10.5418i −0.638380 0.766801i
\(190\) −0.324735 0.324735i −0.0235588 0.0235588i
\(191\) −4.29877 −0.311048 −0.155524 0.987832i \(-0.549707\pi\)
−0.155524 + 0.987832i \(0.549707\pi\)
\(192\) 6.47610 0.467372
\(193\) −9.58390 9.58390i −0.689864 0.689864i 0.272337 0.962202i \(-0.412203\pi\)
−0.962202 + 0.272337i \(0.912203\pi\)
\(194\) 1.96830 + 3.40919i 0.141315 + 0.244766i
\(195\) −1.08742 + 1.66301i −0.0778716 + 0.119091i
\(196\) −4.49171 12.6447i −0.320836 0.903189i
\(197\) 3.69905 + 0.991158i 0.263546 + 0.0706171i 0.388173 0.921587i \(-0.373106\pi\)
−0.124626 + 0.992204i \(0.539773\pi\)
\(198\) 1.02805 1.78063i 0.0730603 0.126544i
\(199\) −5.25409 9.10036i −0.372453 0.645107i 0.617489 0.786579i \(-0.288150\pi\)
−0.989942 + 0.141472i \(0.954817\pi\)
\(200\) 1.38258 + 5.15987i 0.0977634 + 0.364858i
\(201\) −5.33638 5.33638i −0.376400 0.376400i
\(202\) 0.0829059 + 0.309409i 0.00583324 + 0.0217700i
\(203\) −6.29210 2.31776i −0.441619 0.162675i
\(204\) 4.61832 7.99917i 0.323347 0.560054i
\(205\) 3.09794 + 1.78860i 0.216370 + 0.124921i
\(206\) 0.0872861 0.0872861i 0.00608151 0.00608151i
\(207\) −14.0081 8.08761i −0.973633 0.562128i
\(208\) 8.43540 + 9.42785i 0.584889 + 0.653704i
\(209\) 11.8014i 0.816319i
\(210\) −0.268820 0.322898i −0.0185504 0.0222821i
\(211\) −3.87722 6.71554i −0.266919 0.462317i 0.701146 0.713018i \(-0.252672\pi\)
−0.968065 + 0.250701i \(0.919339\pi\)
\(212\) 1.96502i 0.134958i
\(213\) −7.81789 + 2.09480i −0.535673 + 0.143533i
\(214\) −1.39626 0.374126i −0.0954463 0.0255748i
\(215\) 1.93860 1.93860i 0.132211 0.132211i
\(216\) −4.13785 + 4.13785i −0.281545 + 0.281545i
\(217\) −1.59534 + 2.25972i −0.108299 + 0.153400i
\(218\) −0.211919 + 0.122352i −0.0143530 + 0.00828669i
\(219\) 12.7345 3.41220i 0.860519 0.230575i
\(220\) −1.89709 + 3.28586i −0.127902 + 0.221533i
\(221\) 15.9527 3.33849i 1.07309 0.224571i
\(222\) −0.0487172 + 0.0281269i −0.00326968 + 0.00188775i
\(223\) 6.07469 22.6710i 0.406791 1.51817i −0.393937 0.919138i \(-0.628887\pi\)
0.800728 0.599028i \(-0.204446\pi\)
\(224\) −7.85150 + 3.62428i −0.524601 + 0.242157i
\(225\) 7.63897 + 4.41036i 0.509265 + 0.294024i
\(226\) 1.36326 + 0.365284i 0.0906825 + 0.0242983i
\(227\) 1.59493 5.95236i 0.105859 0.395072i −0.892582 0.450885i \(-0.851108\pi\)
0.998441 + 0.0558131i \(0.0177751\pi\)
\(228\) 1.63027 6.08426i 0.107968 0.402940i
\(229\) −11.0005 2.94756i −0.726931 0.194780i −0.123669 0.992324i \(-0.539466\pi\)
−0.603262 + 0.797543i \(0.706133\pi\)
\(230\) −1.11973 0.646475i −0.0738326 0.0426273i
\(231\) −0.982636 + 10.7520i −0.0646527 + 0.707429i
\(232\) −0.740385 + 2.76315i −0.0486086 + 0.181410i
\(233\) −12.9075 + 7.45218i −0.845602 + 0.488208i −0.859164 0.511700i \(-0.829016\pi\)
0.0135628 + 0.999908i \(0.495683\pi\)
\(234\) −1.93345 0.107420i −0.126393 0.00702224i
\(235\) 2.41749 4.18721i 0.157700 0.273144i
\(236\) 0.964876 0.258538i 0.0628081 0.0168294i
\(237\) −6.97516 + 4.02711i −0.453085 + 0.261589i
\(238\) −0.313654 + 3.43200i −0.0203312 + 0.222463i
\(239\) 20.4619 20.4619i 1.32357 1.32357i 0.412706 0.910864i \(-0.364584\pi\)
0.910864 0.412706i \(-0.135416\pi\)
\(240\) 1.36726 1.36726i 0.0882560 0.0882560i
\(241\) 17.7659 + 4.76037i 1.14440 + 0.306642i 0.780721 0.624880i \(-0.214852\pi\)
0.363684 + 0.931522i \(0.381519\pi\)
\(242\) −1.01774 + 0.272704i −0.0654230 + 0.0175301i
\(243\) 15.6227i 1.00220i
\(244\) 8.18205 + 14.1717i 0.523802 + 0.907252i
\(245\) −3.26799 1.55480i −0.208784 0.0993328i
\(246\) 2.12530i 0.135504i
\(247\) 9.91891 5.01475i 0.631125 0.319081i
\(248\) 1.02197 + 0.590035i 0.0648952 + 0.0374672i
\(249\) 6.85213 6.85213i 0.434236 0.434236i
\(250\) 1.25571 + 0.724986i 0.0794182 + 0.0458521i
\(251\) −3.43367 + 5.94730i −0.216731 + 0.375390i −0.953807 0.300421i \(-0.902873\pi\)
0.737075 + 0.675811i \(0.236206\pi\)
\(252\) −3.26739 + 8.87007i −0.205826 + 0.558762i
\(253\) 8.59937 + 32.0933i 0.540638 + 2.01769i
\(254\) −0.707412 0.707412i −0.0443870 0.0443870i
\(255\) −0.644744 2.40622i −0.0403754 0.150683i
\(256\) −4.88140 8.45483i −0.305087 0.528427i
\(257\) 4.16483 7.21370i 0.259795 0.449978i −0.706392 0.707821i \(-0.749678\pi\)
0.966187 + 0.257843i \(0.0830117\pi\)
\(258\) −1.57334 0.421576i −0.0979521 0.0262462i
\(259\) −0.279458 + 0.395836i −0.0173647 + 0.0245961i
\(260\) 3.56785 + 0.198225i 0.221269 + 0.0122934i
\(261\) 2.36179 + 4.09073i 0.146191 + 0.253210i
\(262\) 3.53293 + 3.53293i 0.218265 + 0.218265i
\(263\) −2.70372 −0.166719 −0.0833593 0.996520i \(-0.526565\pi\)
−0.0833593 + 0.996520i \(0.526565\pi\)
\(264\) 4.60607 0.283484
\(265\) −0.374738 0.374738i −0.0230200 0.0230200i
\(266\) 0.399143 + 2.31605i 0.0244730 + 0.142006i
\(267\) 12.4784 3.34358i 0.763666 0.204624i
\(268\) −3.51270 + 13.1096i −0.214572 + 0.800794i
\(269\) −20.2332 + 11.6816i −1.23364 + 0.712242i −0.967787 0.251771i \(-0.918987\pi\)
−0.265853 + 0.964014i \(0.585654\pi\)
\(270\) 0.772380i 0.0470055i
\(271\) 3.44030 + 12.8394i 0.208983 + 0.779936i 0.988198 + 0.153179i \(0.0489512\pi\)
−0.779215 + 0.626756i \(0.784382\pi\)
\(272\) −15.8603 −0.961673
\(273\) 9.45445 3.74293i 0.572210 0.226533i
\(274\) −2.72207 −0.164446
\(275\) −4.68944 17.5012i −0.282784 1.05536i
\(276\) 17.7338i 1.06745i
\(277\) 4.19252 2.42055i 0.251904 0.145437i −0.368732 0.929536i \(-0.620208\pi\)
0.620636 + 0.784099i \(0.286875\pi\)
\(278\) 1.13268 4.22723i 0.0679338 0.253532i
\(279\) 1.88218 0.504328i 0.112683 0.0301933i
\(280\) −0.533664 + 1.44875i −0.0318925 + 0.0865795i
\(281\) 8.60836 + 8.60836i 0.513532 + 0.513532i 0.915607 0.402075i \(-0.131711\pi\)
−0.402075 + 0.915607i \(0.631711\pi\)
\(282\) −2.87257 −0.171059
\(283\) −1.05573 −0.0627569 −0.0313784 0.999508i \(-0.509990\pi\)
−0.0313784 + 0.999508i \(0.509990\pi\)
\(284\) 10.2923 + 10.2923i 0.610736 + 0.610736i
\(285\) −0.849397 1.47120i −0.0503140 0.0871463i
\(286\) 2.65224 + 2.96428i 0.156830 + 0.175282i
\(287\) −7.67230 16.6210i −0.452882 0.981107i
\(288\) 5.88418 + 1.57666i 0.346729 + 0.0929056i
\(289\) −1.71664 + 2.97331i −0.100979 + 0.174900i
\(290\) 0.188787 + 0.326989i 0.0110860 + 0.0192014i
\(291\) 3.76889 + 14.0657i 0.220936 + 0.824544i
\(292\) −16.7651 16.7651i −0.981102 0.981102i
\(293\) 5.31237 + 19.8260i 0.310352 + 1.15825i 0.928240 + 0.371983i \(0.121322\pi\)
−0.617888 + 0.786266i \(0.712011\pi\)
\(294\) 0.170806 + 2.14334i 0.00996160 + 0.125002i
\(295\) 0.134702 0.233311i 0.00784266 0.0135839i
\(296\) 0.179019 + 0.103357i 0.0104053 + 0.00600749i
\(297\) 14.0348 14.0348i 0.814379 0.814379i
\(298\) −3.58498 2.06979i −0.207672 0.119900i
\(299\) 23.3198 20.8650i 1.34862 1.20665i
\(300\) 9.67064i 0.558335i
\(301\) −13.8263 + 2.38280i −0.796936 + 0.137342i
\(302\) −0.715189 1.23874i −0.0411545 0.0712817i
\(303\) 1.18491i 0.0680714i
\(304\) −10.4473 + 2.79936i −0.599196 + 0.160554i
\(305\) 4.26297 + 1.14226i 0.244097 + 0.0654056i
\(306\) 1.71666 1.71666i 0.0981347 0.0981347i
\(307\) −7.23927 + 7.23927i −0.413167 + 0.413167i −0.882840 0.469673i \(-0.844372\pi\)
0.469673 + 0.882840i \(0.344372\pi\)
\(308\) 17.6292 8.13769i 1.00452 0.463688i
\(309\) 0.395446 0.228311i 0.0224961 0.0129881i
\(310\) 0.150450 0.0403130i 0.00854499 0.00228962i
\(311\) −4.86207 + 8.42134i −0.275702 + 0.477531i −0.970312 0.241856i \(-0.922244\pi\)
0.694610 + 0.719387i \(0.255577\pi\)
\(312\) −1.95725 3.87134i −0.110808 0.219172i
\(313\) 14.4470 8.34100i 0.816595 0.471461i −0.0326459 0.999467i \(-0.510393\pi\)
0.849241 + 0.528006i \(0.177060\pi\)
\(314\) −0.260429 + 0.971933i −0.0146968 + 0.0548494i
\(315\) 1.06846 + 2.31467i 0.0602008 + 0.130417i
\(316\) 12.5440 + 7.24228i 0.705655 + 0.407410i
\(317\) −10.2940 2.75827i −0.578170 0.154920i −0.0421288 0.999112i \(-0.513414\pi\)
−0.536041 + 0.844192i \(0.680081\pi\)
\(318\) −0.0814921 + 0.304133i −0.00456985 + 0.0170549i
\(319\) 2.51123 9.37205i 0.140602 0.524734i
\(320\) −3.03400 0.812958i −0.169606 0.0454457i
\(321\) −4.63073 2.67355i −0.258462 0.149223i
\(322\) 2.77309 + 6.00753i 0.154538 + 0.334787i
\(323\) −3.60649 + 13.4596i −0.200670 + 0.748911i
\(324\) 0.107910 0.0623018i 0.00599499 0.00346121i
\(325\) −12.7169 + 11.3782i −0.705404 + 0.631147i
\(326\) −0.330790 + 0.572944i −0.0183207 + 0.0317325i
\(327\) −0.874339 + 0.234278i −0.0483510 + 0.0129556i
\(328\) −6.76344 + 3.90488i −0.373449 + 0.215611i
\(329\) −22.4651 + 10.3700i −1.23854 + 0.571715i
\(330\) 0.429889 0.429889i 0.0236646 0.0236646i
\(331\) 24.2449 24.2449i 1.33262 1.33262i 0.429598 0.903020i \(-0.358655\pi\)
0.903020 0.429598i \(-0.141345\pi\)
\(332\) −16.8332 4.51044i −0.923842 0.247543i
\(333\) 0.329703 0.0883435i 0.0180676 0.00484120i
\(334\) 6.04251i 0.330631i
\(335\) 1.83017 + 3.16994i 0.0999927 + 0.173192i
\(336\) −9.75143 + 1.68054i −0.531984 + 0.0916810i
\(337\) 32.8040i 1.78695i −0.449117 0.893473i \(-0.648261\pi\)
0.449117 0.893473i \(-0.351739\pi\)
\(338\) 1.36443 3.48878i 0.0742151 0.189764i
\(339\) 4.52128 + 2.61036i 0.245562 + 0.141775i
\(340\) −3.16780 + 3.16780i −0.171798 + 0.171798i
\(341\) −3.46631 2.00128i −0.187711 0.108375i
\(342\) 0.827787 1.43377i 0.0447616 0.0775293i
\(343\) 9.07323 + 16.1455i 0.489908 + 0.871774i
\(344\) 1.54915 + 5.78151i 0.0835247 + 0.311718i
\(345\) −3.38192 3.38192i −0.182076 0.182076i
\(346\) −1.49816 5.59121i −0.0805416 0.300585i
\(347\) −4.53276 7.85096i −0.243331 0.421462i 0.718330 0.695703i \(-0.244907\pi\)
−0.961661 + 0.274241i \(0.911573\pi\)
\(348\) −2.58936 + 4.48490i −0.138804 + 0.240416i
\(349\) 27.6016 + 7.39582i 1.47748 + 0.395889i 0.905488 0.424372i \(-0.139505\pi\)
0.571990 + 0.820261i \(0.306172\pi\)
\(350\) −1.51223 3.27605i −0.0808322 0.175112i
\(351\) −17.7598 5.83225i −0.947947 0.311303i
\(352\) −6.25651 10.8366i −0.333473 0.577593i
\(353\) −14.2152 14.2152i −0.756599 0.756599i 0.219103 0.975702i \(-0.429687\pi\)
−0.975702 + 0.219103i \(0.929687\pi\)
\(354\) −0.160059 −0.00850706
\(355\) 3.92559 0.208348
\(356\) −16.4279 16.4279i −0.870678 0.870678i
\(357\) −4.40649 + 11.9624i −0.233216 + 0.633120i
\(358\) −5.96438 + 1.59815i −0.315227 + 0.0844649i
\(359\) 7.98274 29.7920i 0.421313 1.57236i −0.350532 0.936551i \(-0.613999\pi\)
0.771845 0.635811i \(-0.219334\pi\)
\(360\) 0.941889 0.543800i 0.0496419 0.0286608i
\(361\) 9.49750i 0.499868i
\(362\) −1.47322 5.49814i −0.0774309 0.288976i
\(363\) −3.89754 −0.204568
\(364\) −14.3308 11.3592i −0.751137 0.595383i
\(365\) −6.39436 −0.334696
\(366\) −0.678643 2.53273i −0.0354733 0.132388i
\(367\) 5.30610i 0.276976i 0.990364 + 0.138488i \(0.0442243\pi\)
−0.990364 + 0.138488i \(0.955776\pi\)
\(368\) −26.3712 + 15.2254i −1.37469 + 0.793679i
\(369\) −3.33766 + 12.4563i −0.173752 + 0.648451i
\(370\) 0.0263544 0.00706165i 0.00137010 0.000367118i
\(371\) 0.460603 + 2.67267i 0.0239133 + 0.138758i
\(372\) 1.51061 + 1.51061i 0.0783216 + 0.0783216i
\(373\) −24.5661 −1.27199 −0.635993 0.771695i \(-0.719409\pi\)
−0.635993 + 0.771695i \(0.719409\pi\)
\(374\) −4.98676 −0.257859
\(375\) 3.79263 + 3.79263i 0.195851 + 0.195851i
\(376\) 5.27788 + 9.14155i 0.272186 + 0.471439i
\(377\) −8.94417 + 1.87179i −0.460648 + 0.0964022i
\(378\) 2.27967 3.22903i 0.117254 0.166083i
\(379\) 21.0045 + 5.62815i 1.07893 + 0.289099i 0.754158 0.656693i \(-0.228045\pi\)
0.324773 + 0.945792i \(0.394712\pi\)
\(380\) −1.52754 + 2.64578i −0.0783612 + 0.135726i
\(381\) −1.85035 3.20490i −0.0947963 0.164192i
\(382\) −0.320609 1.19653i −0.0164038 0.0612198i
\(383\) −8.30305 8.30305i −0.424266 0.424266i 0.462403 0.886670i \(-0.346987\pi\)
−0.886670 + 0.462403i \(0.846987\pi\)
\(384\) 2.28645 + 8.53317i 0.116680 + 0.435456i
\(385\) 1.81008 4.91387i 0.0922501 0.250434i
\(386\) 1.95282 3.38239i 0.0993961 0.172159i
\(387\) 8.55929 + 4.94171i 0.435093 + 0.251201i
\(388\) 18.5176 18.5176i 0.940087 0.940087i
\(389\) 30.3210 + 17.5058i 1.53733 + 0.887580i 0.998994 + 0.0448528i \(0.0142819\pi\)
0.538341 + 0.842727i \(0.319051\pi\)
\(390\) −0.543988 0.178644i −0.0275459 0.00904599i
\(391\) 39.2306i 1.98398i
\(392\) 6.50703 4.48159i 0.328655 0.226354i
\(393\) 9.24095 + 16.0058i 0.466144 + 0.807385i
\(394\) 1.10352i 0.0555947i
\(395\) 3.77334 1.01106i 0.189857 0.0508721i
\(396\) −13.2119 3.54012i −0.663924 0.177898i
\(397\) 5.66198 5.66198i 0.284167 0.284167i −0.550601 0.834768i \(-0.685602\pi\)
0.834768 + 0.550601i \(0.185602\pi\)
\(398\) 2.14116 2.14116i 0.107326 0.107326i
\(399\) −0.791220 + 8.65752i −0.0396106 + 0.433418i
\(400\) 14.3808 8.30277i 0.719041 0.415139i
\(401\) −26.3860 + 7.07012i −1.31766 + 0.353065i −0.848099 0.529837i \(-0.822253\pi\)
−0.469557 + 0.882902i \(0.655586\pi\)
\(402\) 1.08735 1.88334i 0.0542319 0.0939323i
\(403\) −0.209111 + 3.76379i −0.0104166 + 0.187488i
\(404\) 1.84543 1.06546i 0.0918138 0.0530087i
\(405\) 0.00869768 0.0324602i 0.000432191 0.00161296i
\(406\) 0.175857 1.92422i 0.00872761 0.0954974i
\(407\) −0.607197 0.350565i −0.0300976 0.0173769i
\(408\) 5.25326 + 1.40761i 0.260075 + 0.0696870i
\(409\) −1.48087 + 5.52667i −0.0732242 + 0.273276i −0.992825 0.119578i \(-0.961846\pi\)
0.919601 + 0.392855i \(0.128512\pi\)
\(410\) −0.266793 + 0.995685i −0.0131760 + 0.0491734i
\(411\) −9.72610 2.60610i −0.479753 0.128549i
\(412\) −0.711163 0.410590i −0.0350365 0.0202283i
\(413\) −1.25175 + 0.577813i −0.0615947 + 0.0284323i
\(414\) 1.20637 4.50225i 0.0592900 0.221273i
\(415\) −4.07033 + 2.35001i −0.199805 + 0.115357i
\(416\) −6.44944 + 9.86329i −0.316210 + 0.483588i
\(417\) 8.09428 14.0197i 0.396379 0.686548i
\(418\) −3.28483 + 0.880167i −0.160666 + 0.0430504i
\(419\) 13.3221 7.69152i 0.650828 0.375755i −0.137946 0.990440i \(-0.544050\pi\)
0.788773 + 0.614684i \(0.210717\pi\)
\(420\) −1.61201 + 2.28332i −0.0786580 + 0.111415i
\(421\) 4.76255 4.76255i 0.232112 0.232112i −0.581462 0.813574i \(-0.697519\pi\)
0.813574 + 0.581462i \(0.197519\pi\)
\(422\) 1.58005 1.58005i 0.0769156 0.0769156i
\(423\) 16.8361 + 4.51123i 0.818601 + 0.219343i
\(424\) 1.11759 0.299456i 0.0542748 0.0145429i
\(425\) 21.3934i 1.03773i
\(426\) −1.16614 2.01982i −0.0564997 0.0978604i
\(427\) −14.4505 17.3575i −0.699309 0.839987i
\(428\) 9.61614i 0.464814i
\(429\) 6.63859 + 13.1308i 0.320514 + 0.633961i
\(430\) 0.684178 + 0.395010i 0.0329940 + 0.0190491i
\(431\) 11.9340 11.9340i 0.574839 0.574839i −0.358638 0.933477i \(-0.616759\pi\)
0.933477 + 0.358638i \(0.116759\pi\)
\(432\) 15.7536 + 9.09533i 0.757944 + 0.437599i
\(433\) 4.63490 8.02787i 0.222739 0.385795i −0.732900 0.680337i \(-0.761834\pi\)
0.955639 + 0.294542i \(0.0951669\pi\)
\(434\) −0.747958 0.275518i −0.0359031 0.0132253i
\(435\) 0.361488 + 1.34909i 0.0173320 + 0.0646841i
\(436\) 1.15107 + 1.15107i 0.0551264 + 0.0551264i
\(437\) 6.92422 + 25.8416i 0.331231 + 1.23617i
\(438\) 1.89952 + 3.29007i 0.0907626 + 0.157205i
\(439\) −8.70664 + 15.0803i −0.415545 + 0.719745i −0.995486 0.0949136i \(-0.969743\pi\)
0.579940 + 0.814659i \(0.303076\pi\)
\(440\) −2.15791 0.578210i −0.102874 0.0275651i
\(441\) 2.36491 12.8303i 0.112615 0.610967i
\(442\) 2.11902 + 4.19131i 0.100791 + 0.199360i
\(443\) −5.09769 8.82945i −0.242198 0.419500i 0.719142 0.694863i \(-0.244535\pi\)
−0.961340 + 0.275363i \(0.911202\pi\)
\(444\) 0.264615 + 0.264615i 0.0125581 + 0.0125581i
\(445\) −6.26577 −0.297026
\(446\) 6.76337 0.320255
\(447\) −10.8277 10.8277i −0.512133 0.512133i
\(448\) 10.2846 + 12.3535i 0.485901 + 0.583648i
\(449\) −17.5974 + 4.71520i −0.830471 + 0.222524i −0.648919 0.760857i \(-0.724779\pi\)
−0.181552 + 0.983381i \(0.558112\pi\)
\(450\) −0.657863 + 2.45518i −0.0310120 + 0.115738i
\(451\) 22.9402 13.2445i 1.08021 0.623661i
\(452\) 9.38885i 0.441615i
\(453\) −1.36944 5.11083i −0.0643420 0.240128i
\(454\) 1.77575 0.0833399
\(455\) −4.89920 + 0.566698i −0.229678 + 0.0265672i
\(456\) 3.70882 0.173681
\(457\) 8.73128 + 32.5856i 0.408432 + 1.52429i 0.797637 + 0.603138i \(0.206083\pi\)
−0.389204 + 0.921151i \(0.627250\pi\)
\(458\) 3.28173i 0.153345i
\(459\) 20.2957 11.7178i 0.947324 0.546938i
\(460\) −2.22616 + 8.30814i −0.103795 + 0.387369i
\(461\) 10.9633 2.93760i 0.510611 0.136818i 0.00569051 0.999984i \(-0.498189\pi\)
0.504920 + 0.863166i \(0.331522\pi\)
\(462\) −3.06602 + 0.528391i −0.142644 + 0.0245830i
\(463\) −4.05208 4.05208i −0.188316 0.188316i 0.606652 0.794968i \(-0.292512\pi\)
−0.794968 + 0.606652i \(0.792512\pi\)
\(464\) 8.89241 0.412820
\(465\) 0.576162 0.0267189
\(466\) −3.03692 3.03692i −0.140683 0.140683i
\(467\) 18.1856 + 31.4984i 0.841529 + 1.45757i 0.888602 + 0.458680i \(0.151678\pi\)
−0.0470722 + 0.998891i \(0.514989\pi\)
\(468\) 2.63870 + 12.6087i 0.121974 + 0.582839i
\(469\) 1.70482 18.6541i 0.0787211 0.861364i
\(470\) 1.34578 + 0.360600i 0.0620762 + 0.0166333i
\(471\) −1.86105 + 3.22344i −0.0857528 + 0.148528i
\(472\) 0.294082 + 0.509365i 0.0135362 + 0.0234454i
\(473\) −5.25440 19.6097i −0.241598 0.901655i
\(474\) −1.64113 1.64113i −0.0753797 0.0753797i
\(475\) −3.77594 14.0920i −0.173252 0.646585i
\(476\) 22.5931 3.89365i 1.03555 0.178465i
\(477\) 0.955249 1.65454i 0.0437379 0.0757562i
\(478\) 7.22149 + 4.16933i 0.330303 + 0.190701i
\(479\) −17.1877 + 17.1877i −0.785327 + 0.785327i −0.980724 0.195397i \(-0.937400\pi\)
0.195397 + 0.980724i \(0.437400\pi\)
\(480\) 1.55991 + 0.900617i 0.0712000 + 0.0411073i
\(481\) −0.0366301 + 0.659306i −0.00167019 + 0.0300618i
\(482\) 5.30005i 0.241411i
\(483\) 4.15683 + 24.1202i 0.189142 + 1.09751i
\(484\) 3.50464 + 6.07021i 0.159302 + 0.275919i
\(485\) 7.06278i 0.320704i
\(486\) −4.34847 + 1.16517i −0.197250 + 0.0528531i
\(487\) −25.7327 6.89506i −1.16606 0.312445i −0.376677 0.926345i \(-0.622933\pi\)
−0.789384 + 0.613899i \(0.789600\pi\)
\(488\) −6.81315 + 6.81315i −0.308417 + 0.308417i
\(489\) −1.73047 + 1.73047i −0.0782544 + 0.0782544i
\(490\) 0.189036 1.02558i 0.00853979 0.0463309i
\(491\) −15.2520 + 8.80574i −0.688313 + 0.397398i −0.802980 0.596006i \(-0.796753\pi\)
0.114667 + 0.993404i \(0.463420\pi\)
\(492\) −13.6566 + 3.65927i −0.615686 + 0.164972i
\(493\) 5.72816 9.92147i 0.257983 0.446840i
\(494\) 2.13558 + 2.38684i 0.0960845 + 0.107389i
\(495\) −3.19469 + 1.84446i −0.143591 + 0.0829022i
\(496\) 0.949428 3.54331i 0.0426306 0.159099i
\(497\) −16.4114 11.5863i −0.736152 0.519718i
\(498\) 2.41828 + 1.39620i 0.108366 + 0.0625650i
\(499\) 14.6796 + 3.93339i 0.657149 + 0.176083i 0.571959 0.820282i \(-0.306184\pi\)
0.0851901 + 0.996365i \(0.472850\pi\)
\(500\) 2.49651 9.31712i 0.111648 0.416674i
\(501\) −5.78508 + 21.5902i −0.258459 + 0.964580i
\(502\) −1.91147 0.512177i −0.0853132 0.0228596i
\(503\) −3.91743 2.26173i −0.174669 0.100845i 0.410116 0.912033i \(-0.365488\pi\)
−0.584786 + 0.811188i \(0.698821\pi\)
\(504\) −5.54271 0.506554i −0.246892 0.0225637i
\(505\) 0.148744 0.555122i 0.00661904 0.0247026i
\(506\) −8.29156 + 4.78713i −0.368605 + 0.212814i
\(507\) 8.21533 11.1593i 0.364856 0.495602i
\(508\) −3.32764 + 5.76364i −0.147640 + 0.255720i
\(509\) −37.1230 + 9.94708i −1.64545 + 0.440897i −0.958334 0.285652i \(-0.907790\pi\)
−0.687115 + 0.726548i \(0.741123\pi\)
\(510\) 0.621666 0.358919i 0.0275278 0.0158932i
\(511\) 26.7324 + 18.8729i 1.18257 + 0.834888i
\(512\) 13.7099 13.7099i 0.605896 0.605896i
\(513\) 11.3008 11.3008i 0.498943 0.498943i
\(514\) 2.31850 + 0.621239i 0.102265 + 0.0274017i
\(515\) −0.213924 + 0.0573207i −0.00942660 + 0.00252585i
\(516\) 10.8357i 0.477017i
\(517\) −17.9015 31.0063i −0.787306 1.36365i
\(518\) −0.131020 0.0482628i −0.00575671 0.00212054i
\(519\) 21.4121i 0.939885i
\(520\) 0.430979 + 2.05939i 0.0188997 + 0.0903103i
\(521\) 31.7542 + 18.3333i 1.39117 + 0.803195i 0.993445 0.114308i \(-0.0364649\pi\)
0.397729 + 0.917503i \(0.369798\pi\)
\(522\) −0.962478 + 0.962478i −0.0421265 + 0.0421265i
\(523\) 9.11850 + 5.26457i 0.398724 + 0.230203i 0.685933 0.727664i \(-0.259394\pi\)
−0.287209 + 0.957868i \(0.592728\pi\)
\(524\) 16.6188 28.7845i 0.725994 1.25746i
\(525\) −2.26681 13.1533i −0.0989319 0.574058i
\(526\) −0.201648 0.752560i −0.00879226 0.0328132i
\(527\) −3.34177 3.34177i −0.145570 0.145570i
\(528\) −3.70583 13.8303i −0.161275 0.601888i
\(529\) 26.1601 + 45.3107i 1.13740 + 1.97003i
\(530\) 0.0763569 0.132254i 0.00331673 0.00574475i
\(531\) 0.938106 + 0.251365i 0.0407103 + 0.0109083i
\(532\) 14.1951 6.55248i 0.615434 0.284086i
\(533\) −20.8798 13.6530i −0.904404 0.591375i
\(534\) 1.86132 + 3.22390i 0.0805472 + 0.139512i
\(535\) 1.83384 + 1.83384i 0.0792839 + 0.0792839i
\(536\) −7.99126 −0.345170
\(537\) −22.8411 −0.985668
\(538\) −4.76052 4.76052i −0.205241 0.205241i
\(539\) −22.0705 + 15.2006i −0.950644 + 0.654737i
\(540\) 4.96310 1.32986i 0.213578 0.0572280i
\(541\) 3.17473 11.8482i 0.136492 0.509396i −0.863495 0.504357i \(-0.831729\pi\)
0.999987 0.00503858i \(-0.00160384\pi\)
\(542\) −3.31715 + 1.91516i −0.142484 + 0.0822632i
\(543\) 21.0556i 0.903584i
\(544\) −3.82396 14.2712i −0.163951 0.611873i
\(545\) 0.439030 0.0188060
\(546\) 1.74694 + 2.35242i 0.0747623 + 0.100674i
\(547\) −46.5673 −1.99108 −0.995538 0.0943609i \(-0.969919\pi\)
−0.995538 + 0.0943609i \(0.969919\pi\)
\(548\) 4.68677 + 17.4912i 0.200209 + 0.747189i
\(549\) 15.9101i 0.679026i
\(550\) 4.52158 2.61054i 0.192801 0.111314i
\(551\) 2.02205 7.54639i 0.0861421 0.321487i
\(552\) 10.0859 2.70252i 0.429286 0.115027i
\(553\) −18.7591 6.91010i −0.797716 0.293847i
\(554\) 0.986426 + 0.986426i 0.0419092 + 0.0419092i
\(555\) 0.100927 0.00428410
\(556\) −29.1132 −1.23468
\(557\) −13.2888 13.2888i −0.563066 0.563066i 0.367111 0.930177i \(-0.380347\pi\)
−0.930177 + 0.367111i \(0.880347\pi\)
\(558\) 0.280752 + 0.486276i 0.0118852 + 0.0205857i
\(559\) −14.2489 + 12.7490i −0.602666 + 0.539224i
\(560\) 4.77943 + 0.436798i 0.201968 + 0.0184581i
\(561\) −17.8180 4.77432i −0.752276 0.201572i
\(562\) −1.75404 + 3.03809i −0.0739899 + 0.128154i
\(563\) −9.35345 16.2007i −0.394201 0.682776i 0.598798 0.800900i \(-0.295645\pi\)
−0.992999 + 0.118124i \(0.962312\pi\)
\(564\) 4.94591 + 18.4584i 0.208260 + 0.777238i
\(565\) −1.79050 1.79050i −0.0753269 0.0753269i
\(566\) −0.0787383 0.293855i −0.00330962 0.0123517i
\(567\) −0.132168 + 0.110033i −0.00555052 + 0.00462094i
\(568\) −4.28518 + 7.42215i −0.179802 + 0.311426i
\(569\) 5.84529 + 3.37478i 0.245047 + 0.141478i 0.617494 0.786575i \(-0.288148\pi\)
−0.372447 + 0.928053i \(0.621481\pi\)
\(570\) 0.346148 0.346148i 0.0144985 0.0144985i
\(571\) −5.33385 3.07950i −0.223215 0.128873i 0.384223 0.923240i \(-0.374469\pi\)
−0.607438 + 0.794367i \(0.707803\pi\)
\(572\) 14.4811 22.1463i 0.605486 0.925985i
\(573\) 4.58222i 0.191425i
\(574\) 4.05411 3.37515i 0.169215 0.140876i
\(575\) −20.5369 35.5710i −0.856450 1.48341i
\(576\) 11.3234i 0.471807i
\(577\) −19.5588 + 5.24075i −0.814242 + 0.218175i −0.641827 0.766849i \(-0.721823\pi\)
−0.172414 + 0.985025i \(0.555157\pi\)
\(578\) −0.955626 0.256059i −0.0397488 0.0106507i
\(579\) 10.2158 10.2158i 0.424556 0.424556i
\(580\) 1.77609 1.77609i 0.0737482 0.0737482i
\(581\) 23.9526 + 2.18905i 0.993720 + 0.0908172i
\(582\) −3.63398 + 2.09808i −0.150633 + 0.0869682i
\(583\) −3.79062 + 1.01569i −0.156992 + 0.0420658i
\(584\) 6.98010 12.0899i 0.288839 0.500283i
\(585\) 2.90776 + 1.90134i 0.120221 + 0.0786105i
\(586\) −5.12222 + 2.95731i −0.211597 + 0.122165i
\(587\) −3.35452 + 12.5192i −0.138456 + 0.516725i 0.861504 + 0.507751i \(0.169523\pi\)
−0.999960 + 0.00897355i \(0.997144\pi\)
\(588\) 13.4784 4.78788i 0.555840 0.197449i
\(589\) −2.79108 1.61143i −0.115004 0.0663979i
\(590\) 0.0749865 + 0.0200926i 0.00308715 + 0.000827199i
\(591\) −1.05651 + 3.94296i −0.0434591 + 0.162192i
\(592\) 0.166312 0.620685i 0.00683538 0.0255100i
\(593\) −2.52797 0.677366i −0.103811 0.0278161i 0.206540 0.978438i \(-0.433780\pi\)
−0.310351 + 0.950622i \(0.600446\pi\)
\(594\) 4.95320 + 2.85973i 0.203232 + 0.117336i
\(595\) 3.56608 5.05116i 0.146195 0.207077i
\(596\) −7.12739 + 26.5998i −0.291949 + 1.08957i
\(597\) 9.70041 5.60053i 0.397011 0.229215i
\(598\) 7.54684 + 4.93475i 0.308613 + 0.201797i
\(599\) −11.8359 + 20.5003i −0.483600 + 0.837620i −0.999823 0.0188345i \(-0.994004\pi\)
0.516222 + 0.856455i \(0.327338\pi\)
\(600\) −5.50010 + 1.47375i −0.224540 + 0.0601654i
\(601\) 39.8779 23.0235i 1.62665 0.939149i 0.641573 0.767062i \(-0.278282\pi\)
0.985082 0.172087i \(-0.0550511\pi\)
\(602\) −1.69442 3.67073i −0.0690595 0.149608i
\(603\) −9.33060 + 9.33060i −0.379971 + 0.379971i
\(604\) −6.72844 + 6.72844i −0.273776 + 0.273776i
\(605\) 1.82597 + 0.489267i 0.0742362 + 0.0198915i
\(606\) −0.329811 + 0.0883725i −0.0133976 + 0.00358989i
\(607\) 8.41264i 0.341458i −0.985318 0.170729i \(-0.945388\pi\)
0.985318 0.170729i \(-0.0546123\pi\)
\(608\) −5.03775 8.72564i −0.204308 0.353872i
\(609\) 2.47059 6.70698i 0.100113 0.271781i
\(610\) 1.27176i 0.0514919i
\(611\) −18.4535 + 28.2214i −0.746548 + 1.14171i
\(612\) −13.9865 8.07508i −0.565369 0.326416i
\(613\) −14.9915 + 14.9915i −0.605502 + 0.605502i −0.941767 0.336265i \(-0.890836\pi\)
0.336265 + 0.941767i \(0.390836\pi\)
\(614\) −2.55491 1.47508i −0.103108 0.0595293i
\(615\) −1.90653 + 3.30221i −0.0768788 + 0.133158i
\(616\) 7.31483 + 8.78633i 0.294723 + 0.354011i
\(617\) 7.51730 + 28.0549i 0.302635 + 1.12945i 0.934962 + 0.354748i \(0.115433\pi\)
−0.632327 + 0.774702i \(0.717900\pi\)
\(618\) 0.0930415 + 0.0930415i 0.00374268 + 0.00374268i
\(619\) 6.66289 + 24.8662i 0.267804 + 0.999458i 0.960512 + 0.278240i \(0.0897509\pi\)
−0.692708 + 0.721218i \(0.743582\pi\)
\(620\) −0.518080 0.897341i −0.0208066 0.0360381i
\(621\) 22.4973 38.9665i 0.902787 1.56367i
\(622\) −2.70664 0.725241i −0.108526 0.0290795i
\(623\) 26.1948 + 18.4933i 1.04947 + 0.740920i
\(624\) −10.0495 + 8.99160i −0.402302 + 0.359952i
\(625\) 10.5311 + 18.2403i 0.421242 + 0.729613i
\(626\) 3.39914 + 3.39914i 0.135857 + 0.135857i
\(627\) −12.5795 −0.502379
\(628\) 6.69377 0.267111
\(629\) −0.585381 0.585381i −0.0233407 0.0233407i
\(630\) −0.564583 + 0.470029i −0.0224935 + 0.0187264i
\(631\) 4.24248 1.13677i 0.168891 0.0452541i −0.173383 0.984855i \(-0.555470\pi\)
0.342273 + 0.939600i \(0.388803\pi\)
\(632\) −2.20736 + 8.23797i −0.0878040 + 0.327689i
\(633\) 7.15834 4.13287i 0.284519 0.164267i
\(634\) 3.07098i 0.121964i
\(635\) 0.464557 + 1.73375i 0.0184354 + 0.0688018i
\(636\) 2.09458 0.0830557
\(637\) 22.1543 + 12.0908i 0.877785 + 0.479054i
\(638\) 2.79593 0.110692
\(639\) 3.66273 + 13.6695i 0.144895 + 0.540756i
\(640\) 4.28475i 0.169369i
\(641\) −17.4189 + 10.0568i −0.688005 + 0.397220i −0.802864 0.596162i \(-0.796692\pi\)
0.114859 + 0.993382i \(0.463358\pi\)
\(642\) 0.398795 1.48832i 0.0157392 0.0587395i
\(643\) −3.80955 + 1.02077i −0.150234 + 0.0402551i −0.333152 0.942873i \(-0.608112\pi\)
0.182918 + 0.983128i \(0.441446\pi\)
\(644\) 33.8281 28.1627i 1.33302 1.10977i
\(645\) 2.06643 + 2.06643i 0.0813654 + 0.0813654i
\(646\) −4.01535 −0.157982
\(647\) −7.52305 −0.295762 −0.147881 0.989005i \(-0.547245\pi\)
−0.147881 + 0.989005i \(0.547245\pi\)
\(648\) 0.0518784 + 0.0518784i 0.00203798 + 0.00203798i
\(649\) −0.997466 1.72766i −0.0391540 0.0678167i
\(650\) −4.11547 2.69104i −0.161422 0.105551i
\(651\) −2.40872 1.70054i −0.0944051 0.0666493i
\(652\) 4.25113 + 1.13909i 0.166487 + 0.0446100i
\(653\) 5.29139 9.16495i 0.207068 0.358652i −0.743722 0.668489i \(-0.766941\pi\)
0.950790 + 0.309837i \(0.100275\pi\)
\(654\) −0.130419 0.225893i −0.00509979 0.00883310i
\(655\) −2.32007 8.65863i −0.0906527 0.338320i
\(656\) 17.1664 + 17.1664i 0.670237 + 0.670237i
\(657\) −5.96619 22.2661i −0.232763 0.868685i
\(658\) −4.56189 5.47959i −0.177841 0.213617i
\(659\) 2.76883 4.79576i 0.107858 0.186816i −0.807044 0.590491i \(-0.798934\pi\)
0.914902 + 0.403675i \(0.132267\pi\)
\(660\) −3.50252 2.02218i −0.136335 0.0787133i
\(661\) −9.40996 + 9.40996i −0.366005 + 0.366005i −0.866018 0.500013i \(-0.833329\pi\)
0.500013 + 0.866018i \(0.333329\pi\)
\(662\) 8.55659 + 4.94015i 0.332561 + 0.192004i
\(663\) 3.55862 + 17.0045i 0.138205 + 0.660401i
\(664\) 10.2611i 0.398208i
\(665\) 1.45748 3.95666i 0.0565185 0.153433i
\(666\) 0.0491795 + 0.0851813i 0.00190567 + 0.00330071i
\(667\) 21.9954i 0.851666i
\(668\) 38.8275 10.4038i 1.50228 0.402535i
\(669\) 24.1659 + 6.47524i 0.934308 + 0.250347i
\(670\) −0.745832 + 0.745832i −0.0288140 + 0.0288140i
\(671\) 23.1088 23.1088i 0.892106 0.892106i
\(672\) −3.86325 8.36921i −0.149028 0.322849i
\(673\) 12.8942 7.44448i 0.497035 0.286963i −0.230453 0.973083i \(-0.574021\pi\)
0.727488 + 0.686120i \(0.240687\pi\)
\(674\) 9.13073 2.44657i 0.351703 0.0942384i
\(675\) −12.2683 + 21.2494i −0.472208 + 0.817889i
\(676\) −24.7671 2.76058i −0.952583 0.106176i
\(677\) 10.7184 6.18827i 0.411942 0.237835i −0.279682 0.960093i \(-0.590229\pi\)
0.691624 + 0.722258i \(0.256896\pi\)
\(678\) −0.389370 + 1.45315i −0.0149536 + 0.0558078i
\(679\) −20.8457 + 29.5268i −0.799985 + 1.13313i
\(680\) −2.28441 1.31891i −0.0876033 0.0505778i
\(681\) 6.34484 + 1.70010i 0.243135 + 0.0651478i
\(682\) 0.298517 1.11408i 0.0114308 0.0426603i
\(683\) 7.35708 27.4570i 0.281511 1.05061i −0.669841 0.742505i \(-0.733638\pi\)
0.951351 0.308108i \(-0.0996957\pi\)
\(684\) −10.6383 2.85051i −0.406764 0.108992i
\(685\) 4.22945 + 2.44188i 0.161599 + 0.0932993i
\(686\) −3.81727 + 3.72962i −0.145744 + 0.142397i
\(687\) 3.14192 11.7258i 0.119872 0.447367i
\(688\) 16.1134 9.30306i 0.614317 0.354676i
\(689\) 2.46442 + 2.75437i 0.0938870 + 0.104933i
\(690\) 0.689102 1.19356i 0.0262336 0.0454380i
\(691\) −11.3072 + 3.02975i −0.430145 + 0.115257i −0.467394 0.884049i \(-0.654807\pi\)
0.0372491 + 0.999306i \(0.488141\pi\)
\(692\) −33.3481 + 19.2535i −1.26770 + 0.731909i
\(693\) 18.7997 + 1.71813i 0.714142 + 0.0652663i
\(694\) 1.84719 1.84719i 0.0701186 0.0701186i
\(695\) −5.55203 + 5.55203i −0.210601 + 0.210601i
\(696\) −2.94535 0.789203i −0.111643 0.0299147i
\(697\) 30.2110 8.09501i 1.14432 0.306621i
\(698\) 8.23427i 0.311672i
\(699\) −7.94355 13.7586i −0.300453 0.520399i
\(700\) −18.4473 + 15.3578i −0.697241 + 0.580470i
\(701\) 0.431477i 0.0162966i −0.999967 0.00814832i \(-0.997406\pi\)
0.999967 0.00814832i \(-0.00259372\pi\)
\(702\) 0.298810 5.37828i 0.0112779 0.202990i
\(703\) −0.488916 0.282276i −0.0184398 0.0106462i
\(704\) −16.4468 + 16.4468i −0.619862 + 0.619862i
\(705\) 4.46331 + 2.57689i 0.168098 + 0.0970514i
\(706\) 2.89650 5.01689i 0.109011 0.188813i
\(707\) −2.26028 + 1.88174i −0.0850066 + 0.0707700i
\(708\) 0.275585 + 1.02850i 0.0103571 + 0.0386533i
\(709\) −3.00200 3.00200i −0.112743 0.112743i 0.648485 0.761227i \(-0.275403\pi\)
−0.761227 + 0.648485i \(0.775403\pi\)
\(710\) 0.292776 + 1.09266i 0.0109877 + 0.0410067i
\(711\) 7.04135 + 12.1960i 0.264071 + 0.457385i
\(712\) 6.83973 11.8468i 0.256330 0.443976i
\(713\) −8.76441 2.34842i −0.328230 0.0879488i
\(714\) −3.65830 0.334336i −0.136908 0.0125122i
\(715\) −1.46179 6.98503i −0.0546680 0.261225i
\(716\) 20.5385 + 35.5738i 0.767562 + 1.32946i
\(717\) 21.8111 + 21.8111i 0.814550 + 0.814550i
\(718\) 8.88774 0.331688
\(719\) 11.7915 0.439748 0.219874 0.975528i \(-0.429435\pi\)
0.219874 + 0.975528i \(0.429435\pi\)
\(720\) −2.39063 2.39063i −0.0890935 0.0890935i
\(721\) 1.06352 + 0.391758i 0.0396074 + 0.0145898i
\(722\) 2.64356 0.708339i 0.0983830 0.0263616i
\(723\) −5.07425 + 18.9374i −0.188714 + 0.704289i
\(724\) −32.7930 + 18.9330i −1.21874 + 0.703641i
\(725\) 11.9946i 0.445469i
\(726\) −0.290685 1.08485i −0.0107883 0.0402626i
\(727\) 9.73102 0.360904 0.180452 0.983584i \(-0.442244\pi\)
0.180452 + 0.983584i \(0.442244\pi\)
\(728\) 4.27651 9.88157i 0.158498 0.366235i
\(729\) −16.4579 −0.609550
\(730\) −0.476902 1.77982i −0.0176509 0.0658741i
\(731\) 23.9708i 0.886591i
\(732\) −15.1062 + 8.72155i −0.558340 + 0.322358i
\(733\) −3.92510 + 14.6487i −0.144977 + 0.541061i 0.854779 + 0.518991i \(0.173692\pi\)
−0.999756 + 0.0220699i \(0.992974\pi\)
\(734\) −1.47691 + 0.395738i −0.0545139 + 0.0146069i
\(735\) 1.65732 3.48347i 0.0611313 0.128490i
\(736\) −20.0581 20.0581i −0.739350 0.739350i
\(737\) 27.1047 0.998415
\(738\) −3.71605 −0.136790
\(739\) 1.66045 + 1.66045i 0.0610807 + 0.0610807i 0.736987 0.675907i \(-0.236248\pi\)
−0.675907 + 0.736987i \(0.736248\pi\)
\(740\) −0.0907525 0.157188i −0.00333613 0.00577834i
\(741\) 5.34541 + 10.5729i 0.196368 + 0.388407i
\(742\) −0.709566 + 0.327538i −0.0260490 + 0.0120243i
\(743\) 27.0211 + 7.24029i 0.991309 + 0.265620i 0.717800 0.696249i \(-0.245149\pi\)
0.273509 + 0.961870i \(0.411816\pi\)
\(744\) −0.628940 + 1.08936i −0.0230581 + 0.0399377i
\(745\) 3.71348 + 6.43193i 0.136051 + 0.235648i
\(746\) −1.83218 6.83779i −0.0670809 0.250349i
\(747\) −11.9809 11.9809i −0.438357 0.438357i
\(748\) 8.58605 + 32.0436i 0.313937 + 1.17163i
\(749\) −2.25404 13.0792i −0.0823607 0.477903i
\(750\) −0.772789 + 1.33851i −0.0282183 + 0.0488755i
\(751\) −4.51677 2.60776i −0.164819 0.0951584i 0.415321 0.909675i \(-0.363669\pi\)
−0.580141 + 0.814516i \(0.697002\pi\)
\(752\) 23.2024 23.2024i 0.846103 0.846103i
\(753\) −6.33944 3.66008i −0.231022 0.133381i
\(754\) −1.18807 2.34994i −0.0432669 0.0855798i
\(755\) 2.56629i 0.0933969i
\(756\) −24.6739 9.08891i −0.897382 0.330560i
\(757\) 10.3674 + 17.9569i 0.376811 + 0.652656i 0.990596 0.136817i \(-0.0436872\pi\)
−0.613785 + 0.789473i \(0.710354\pi\)
\(758\) 6.26621i 0.227599i
\(759\) −34.2094 + 9.16639i −1.24172 + 0.332719i
\(760\) −1.73755 0.465576i −0.0630276 0.0168882i
\(761\) −27.8103 + 27.8103i −1.00812 + 1.00812i −0.00815767 + 0.999967i \(0.502597\pi\)
−0.999967 + 0.00815767i \(0.997403\pi\)
\(762\) 0.754057 0.754057i 0.0273166 0.0273166i
\(763\) −1.83542 1.29579i −0.0664467 0.0469109i
\(764\) −7.13656 + 4.12029i −0.258192 + 0.149067i
\(765\) −4.20724 + 1.12733i −0.152113 + 0.0407586i
\(766\) 1.69184 2.93034i 0.0611285 0.105878i
\(767\) −1.02823 + 1.57249i −0.0371271 + 0.0567793i
\(768\) 9.01232 5.20326i 0.325204 0.187757i
\(769\) 2.96518 11.0662i 0.106927 0.399057i −0.891630 0.452765i \(-0.850437\pi\)
0.998557 + 0.0537084i \(0.0171041\pi\)
\(770\) 1.50274 + 0.137337i 0.0541549 + 0.00494927i
\(771\) 7.68935 + 4.43945i 0.276925 + 0.159883i
\(772\) −25.0966 6.72462i −0.903247 0.242024i
\(773\) 12.1267 45.2574i 0.436167 1.62780i −0.302091 0.953279i