Properties

Label 177.2.e.b.4.2
Level $177$
Weight $2$
Character 177.4
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.b.133.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.756070 - 0.0822276i) q^{2} +(-0.647386 + 0.762162i) q^{3} +(-1.38836 - 0.305601i) q^{4} +(-0.128718 - 0.0978487i) q^{5} +(0.552140 - 0.523015i) q^{6} +(1.18304 - 2.96921i) q^{7} +(2.46600 + 0.830893i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(-0.756070 - 0.0822276i) q^{2} +(-0.647386 + 0.762162i) q^{3} +(-1.38836 - 0.305601i) q^{4} +(-0.128718 - 0.0978487i) q^{5} +(0.552140 - 0.523015i) q^{6} +(1.18304 - 2.96921i) q^{7} +(2.46600 + 0.830893i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(0.0892739 + 0.0845647i) q^{10} +(3.21368 - 1.48680i) q^{11} +(1.13172 - 0.860313i) q^{12} +(0.653255 - 3.98468i) q^{13} +(-1.13861 + 2.14765i) q^{14} +(0.157907 - 0.0347579i) q^{15} +(0.784261 + 0.362838i) q^{16} +(0.702422 + 1.76295i) q^{17} +(0.0411742 + 0.759413i) q^{18} +(-2.07230 - 3.05641i) q^{19} +(0.148804 + 0.175186i) q^{20} +(1.49713 + 2.82389i) q^{21} +(-2.55202 + 0.859876i) q^{22} +(-0.0779331 + 1.43739i) q^{23} +(-2.22973 + 1.34159i) q^{24} +(-1.33065 - 4.79256i) q^{25} +(-0.821557 + 2.95898i) q^{26} +(0.856857 + 0.515554i) q^{27} +(-2.54988 + 3.76079i) q^{28} +(-0.693292 + 0.0754000i) q^{29} +(-0.122247 + 0.0132951i) q^{30} +(0.294127 - 0.433805i) q^{31} +(-5.02259 - 3.02199i) q^{32} +(-0.947303 + 3.41188i) q^{33} +(-0.386118 - 1.39067i) q^{34} +(-0.442811 + 0.266431i) q^{35} +(-0.0769637 + 1.41951i) q^{36} +(-1.54938 + 0.522048i) q^{37} +(1.31548 + 2.48126i) q^{38} +(2.61406 + 3.07751i) q^{39} +(-0.236117 - 0.348246i) q^{40} +(0.240369 + 4.43335i) q^{41} +(-0.899736 - 2.25817i) q^{42} +(6.48573 + 3.00062i) q^{43} +(-4.91611 + 1.08212i) q^{44} +(-0.0757355 + 0.142852i) q^{45} +(0.177116 - 1.08036i) q^{46} +(4.38426 - 3.33283i) q^{47} +(-0.784261 + 0.362838i) q^{48} +(-2.33463 - 2.21148i) q^{49} +(0.611983 + 3.73293i) q^{50} +(-1.79839 - 0.605948i) q^{51} +(-2.12468 + 5.33253i) q^{52} +(-5.47308 + 5.18438i) q^{53} +(-0.605452 - 0.460252i) q^{54} +(-0.559139 - 0.123076i) q^{55} +(5.38447 - 6.33909i) q^{56} +(3.67106 + 0.399252i) q^{57} +0.530377 q^{58} +(-7.64969 + 0.694390i) q^{59} -0.229853 q^{60} +(-7.22006 - 0.785229i) q^{61} +(-0.258051 + 0.303801i) q^{62} +(-3.12149 - 0.687091i) q^{63} +(2.17309 + 1.65194i) q^{64} +(-0.473981 + 0.448979i) q^{65} +(0.996779 - 2.50173i) q^{66} +(14.4582 + 4.87154i) q^{67} +(-0.436456 - 2.66226i) q^{68} +(-1.04507 - 0.989945i) q^{69} +(0.356705 - 0.165029i) q^{70} +(12.6040 - 9.58134i) q^{71} +(0.420993 - 2.56794i) q^{72} +(-4.49753 + 8.48324i) q^{73} +(1.21437 - 0.267303i) q^{74} +(4.51415 + 2.08847i) q^{75} +(1.94305 + 4.87670i) q^{76} +(-0.612723 - 11.3010i) q^{77} +(-1.72336 - 2.54176i) q^{78} +(-1.88904 - 2.22395i) q^{79} +(-0.0654452 - 0.123443i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(0.182808 - 3.37169i) q^{82} +(12.0246 - 7.23495i) q^{83} +(-1.21557 - 4.37810i) q^{84} +(0.0820878 - 0.295654i) q^{85} +(-4.65693 - 2.80198i) q^{86} +(0.391361 - 0.577214i) q^{87} +(9.16031 - 0.996244i) q^{88} +(-8.57791 + 0.932903i) q^{89} +(0.0690078 - 0.101779i) q^{90} +(-11.0585 - 6.65368i) q^{91} +(0.547468 - 1.97180i) q^{92} +(0.140216 + 0.505011i) q^{93} +(-3.58886 + 2.15935i) q^{94} +(-0.0323243 + 0.596187i) q^{95} +(5.55480 - 1.87163i) q^{96} +(2.76172 + 5.20915i) q^{97} +(1.58330 + 1.86401i) q^{98} +(-1.98713 - 2.93080i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.756070 0.0822276i −0.534622 0.0581437i −0.163174 0.986597i \(-0.552173\pi\)
−0.371448 + 0.928454i \(0.621139\pi\)
\(3\) −0.647386 + 0.762162i −0.373769 + 0.440034i
\(4\) −1.38836 0.305601i −0.694180 0.152801i
\(5\) −0.128718 0.0978487i −0.0575644 0.0437593i 0.575996 0.817452i \(-0.304614\pi\)
−0.633561 + 0.773693i \(0.718407\pi\)
\(6\) 0.552140 0.523015i 0.225410 0.213520i
\(7\) 1.18304 2.96921i 0.447147 1.12225i −0.516787 0.856114i \(-0.672872\pi\)
0.963934 0.266141i \(-0.0857485\pi\)
\(8\) 2.46600 + 0.830893i 0.871864 + 0.293765i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) 0.0892739 + 0.0845647i 0.0282309 + 0.0267417i
\(11\) 3.21368 1.48680i 0.968960 0.448288i 0.129422 0.991590i \(-0.458688\pi\)
0.839538 + 0.543301i \(0.182826\pi\)
\(12\) 1.13172 0.860313i 0.326700 0.248351i
\(13\) 0.653255 3.98468i 0.181180 1.10515i −0.727020 0.686616i \(-0.759095\pi\)
0.908201 0.418535i \(-0.137456\pi\)
\(14\) −1.13861 + 2.14765i −0.304307 + 0.573984i
\(15\) 0.157907 0.0347579i 0.0407713 0.00897445i
\(16\) 0.784261 + 0.362838i 0.196065 + 0.0907095i
\(17\) 0.702422 + 1.76295i 0.170362 + 0.427577i 0.989223 0.146415i \(-0.0467734\pi\)
−0.818861 + 0.573992i \(0.805394\pi\)
\(18\) 0.0411742 + 0.759413i 0.00970485 + 0.178995i
\(19\) −2.07230 3.05641i −0.475418 0.701189i 0.512059 0.858950i \(-0.328883\pi\)
−0.987477 + 0.157761i \(0.949572\pi\)
\(20\) 0.148804 + 0.175186i 0.0332736 + 0.0391727i
\(21\) 1.49713 + 2.82389i 0.326701 + 0.616224i
\(22\) −2.55202 + 0.859876i −0.544093 + 0.183326i
\(23\) −0.0779331 + 1.43739i −0.0162502 + 0.299717i 0.979099 + 0.203384i \(0.0651940\pi\)
−0.995349 + 0.0963327i \(0.969289\pi\)
\(24\) −2.22973 + 1.34159i −0.455142 + 0.273850i
\(25\) −1.33065 4.79256i −0.266130 0.958512i
\(26\) −0.821557 + 2.95898i −0.161121 + 0.580304i
\(27\) 0.856857 + 0.515554i 0.164902 + 0.0992184i
\(28\) −2.54988 + 3.76079i −0.481882 + 0.710722i
\(29\) −0.693292 + 0.0754000i −0.128741 + 0.0140014i −0.172263 0.985051i \(-0.555108\pi\)
0.0435216 + 0.999052i \(0.486142\pi\)
\(30\) −0.122247 + 0.0132951i −0.0223191 + 0.00242735i
\(31\) 0.294127 0.433805i 0.0528267 0.0779136i −0.800358 0.599522i \(-0.795357\pi\)
0.853185 + 0.521608i \(0.174668\pi\)
\(32\) −5.02259 3.02199i −0.887876 0.534217i
\(33\) −0.947303 + 3.41188i −0.164904 + 0.593932i
\(34\) −0.386118 1.39067i −0.0662186 0.238498i
\(35\) −0.442811 + 0.266431i −0.0748488 + 0.0450350i
\(36\) −0.0769637 + 1.41951i −0.0128273 + 0.236585i
\(37\) −1.54938 + 0.522048i −0.254717 + 0.0858241i −0.443763 0.896144i \(-0.646357\pi\)
0.189046 + 0.981968i \(0.439460\pi\)
\(38\) 1.31548 + 2.48126i 0.213399 + 0.402514i
\(39\) 2.61406 + 3.07751i 0.418585 + 0.492796i
\(40\) −0.236117 0.348246i −0.0373333 0.0550626i
\(41\) 0.240369 + 4.43335i 0.0375394 + 0.692373i 0.955372 + 0.295405i \(0.0954547\pi\)
−0.917833 + 0.396968i \(0.870063\pi\)
\(42\) −0.899736 2.25817i −0.138832 0.348443i
\(43\) 6.48573 + 3.00062i 0.989064 + 0.457590i 0.846611 0.532212i \(-0.178639\pi\)
0.142453 + 0.989802i \(0.454501\pi\)
\(44\) −4.91611 + 1.08212i −0.741131 + 0.163135i
\(45\) −0.0757355 + 0.142852i −0.0112900 + 0.0212952i
\(46\) 0.177116 1.08036i 0.0261144 0.159291i
\(47\) 4.38426 3.33283i 0.639511 0.486143i −0.234458 0.972126i \(-0.575331\pi\)
0.873968 + 0.485983i \(0.161538\pi\)
\(48\) −0.784261 + 0.362838i −0.113198 + 0.0523712i
\(49\) −2.33463 2.21148i −0.333519 0.315926i
\(50\) 0.611983 + 3.73293i 0.0865474 + 0.527916i
\(51\) −1.79839 0.605948i −0.251825 0.0848497i
\(52\) −2.12468 + 5.33253i −0.294639 + 0.739489i
\(53\) −5.47308 + 5.18438i −0.751786 + 0.712129i −0.964237 0.265043i \(-0.914614\pi\)
0.212451 + 0.977172i \(0.431855\pi\)
\(54\) −0.605452 0.460252i −0.0823915 0.0626324i
\(55\) −0.559139 0.123076i −0.0753943 0.0165955i
\(56\) 5.38447 6.33909i 0.719531 0.847097i
\(57\) 3.67106 + 0.399252i 0.486244 + 0.0528822i
\(58\) 0.530377 0.0696419
\(59\) −7.64969 + 0.694390i −0.995905 + 0.0904018i
\(60\) −0.229853 −0.0296740
\(61\) −7.22006 0.785229i −0.924434 0.100538i −0.366495 0.930420i \(-0.619442\pi\)
−0.557939 + 0.829882i \(0.688408\pi\)
\(62\) −0.258051 + 0.303801i −0.0327725 + 0.0385828i
\(63\) −3.12149 0.687091i −0.393270 0.0865653i
\(64\) 2.17309 + 1.65194i 0.271636 + 0.206492i
\(65\) −0.473981 + 0.448979i −0.0587901 + 0.0556890i
\(66\) 0.996779 2.50173i 0.122695 0.307941i
\(67\) 14.4582 + 4.87154i 1.76635 + 0.595153i 0.998941 0.0460043i \(-0.0146488\pi\)
0.767410 + 0.641157i \(0.221545\pi\)
\(68\) −0.436456 2.66226i −0.0529281 0.322847i
\(69\) −1.04507 0.989945i −0.125812 0.119175i
\(70\) 0.356705 0.165029i 0.0426343 0.0197248i
\(71\) 12.6040 9.58134i 1.49582 1.13710i 0.540573 0.841297i \(-0.318207\pi\)
0.955250 0.295799i \(-0.0955857\pi\)
\(72\) 0.420993 2.56794i 0.0496145 0.302635i
\(73\) −4.49753 + 8.48324i −0.526396 + 0.992888i 0.467649 + 0.883914i \(0.345101\pi\)
−0.994045 + 0.108974i \(0.965244\pi\)
\(74\) 1.21437 0.267303i 0.141168 0.0310733i
\(75\) 4.51415 + 2.08847i 0.521249 + 0.241156i
\(76\) 1.94305 + 4.87670i 0.222884 + 0.559396i
\(77\) −0.612723 11.3010i −0.0698263 1.28787i
\(78\) −1.72336 2.54176i −0.195132 0.287798i
\(79\) −1.88904 2.22395i −0.212533 0.250213i 0.645557 0.763712i \(-0.276625\pi\)
−0.858091 + 0.513498i \(0.828349\pi\)
\(80\) −0.0654452 0.123443i −0.00731699 0.0138013i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) 0.182808 3.37169i 0.0201877 0.372341i
\(83\) 12.0246 7.23495i 1.31987 0.794138i 0.331100 0.943596i \(-0.392580\pi\)
0.988768 + 0.149457i \(0.0477526\pi\)
\(84\) −1.21557 4.37810i −0.132630 0.477690i
\(85\) 0.0820878 0.295654i 0.00890368 0.0320681i
\(86\) −4.65693 2.80198i −0.502170 0.302146i
\(87\) 0.391361 0.577214i 0.0419583 0.0618838i
\(88\) 9.16031 0.996244i 0.976492 0.106200i
\(89\) −8.57791 + 0.932903i −0.909256 + 0.0988876i −0.550779 0.834651i \(-0.685669\pi\)
−0.358477 + 0.933539i \(0.616704\pi\)
\(90\) 0.0690078 0.101779i 0.00727406 0.0107284i
\(91\) −11.0585 6.65368i −1.15925 0.697495i
\(92\) 0.547468 1.97180i 0.0570775 0.205574i
\(93\) 0.140216 + 0.505011i 0.0145397 + 0.0523672i
\(94\) −3.58886 + 2.15935i −0.370163 + 0.222720i
\(95\) −0.0323243 + 0.596187i −0.00331640 + 0.0611675i
\(96\) 5.55480 1.87163i 0.566934 0.191022i
\(97\) 2.76172 + 5.20915i 0.280410 + 0.528909i 0.983210 0.182478i \(-0.0584119\pi\)
−0.702800 + 0.711387i \(0.748067\pi\)
\(98\) 1.58330 + 1.86401i 0.159938 + 0.188293i
\(99\) −1.98713 2.93080i −0.199714 0.294557i
\(100\) 0.382806 + 7.06045i 0.0382806 + 0.706045i
\(101\) −1.60011 4.01596i −0.159217 0.399603i 0.827628 0.561278i \(-0.189690\pi\)
−0.986844 + 0.161674i \(0.948311\pi\)
\(102\) 1.30988 + 0.606016i 0.129698 + 0.0600046i
\(103\) 14.3336 3.15507i 1.41233 0.310878i 0.557671 0.830062i \(-0.311695\pi\)
0.854663 + 0.519184i \(0.173764\pi\)
\(104\) 4.92177 9.28345i 0.482619 0.910317i
\(105\) 0.0836066 0.509978i 0.00815917 0.0497687i
\(106\) 4.56433 3.46972i 0.443327 0.337009i
\(107\) −18.5913 + 8.60124i −1.79729 + 0.831513i −0.839878 + 0.542775i \(0.817374\pi\)
−0.957408 + 0.288739i \(0.906764\pi\)
\(108\) −1.03207 0.977631i −0.0993112 0.0940726i
\(109\) −1.94214 11.8466i −0.186024 1.13469i −0.900442 0.434976i \(-0.856757\pi\)
0.714419 0.699719i \(-0.246691\pi\)
\(110\) 0.412628 + 0.139031i 0.0393426 + 0.0132561i
\(111\) 0.605164 1.51885i 0.0574396 0.144163i
\(112\) 2.00515 1.89938i 0.189469 0.179475i
\(113\) 2.71935 + 2.06719i 0.255815 + 0.194465i 0.725219 0.688518i \(-0.241738\pi\)
−0.469405 + 0.882983i \(0.655531\pi\)
\(114\) −2.74275 0.603725i −0.256882 0.0565440i
\(115\) 0.150678 0.177392i 0.0140508 0.0165419i
\(116\) 0.985581 + 0.107188i 0.0915089 + 0.00995219i
\(117\) −4.03787 −0.373301
\(118\) 5.84081 + 0.104009i 0.537690 + 0.00957478i
\(119\) 6.06554 0.556028
\(120\) 0.418279 + 0.0454906i 0.0381835 + 0.00415270i
\(121\) 0.995872 1.17243i 0.0905338 0.106585i
\(122\) 5.39431 + 1.18738i 0.488378 + 0.107500i
\(123\) −3.53454 2.68689i −0.318699 0.242269i
\(124\) −0.540925 + 0.512391i −0.0485765 + 0.0460141i
\(125\) −0.596900 + 1.49811i −0.0533884 + 0.133995i
\(126\) 2.30357 + 0.776162i 0.205218 + 0.0691460i
\(127\) 3.10466 + 18.9376i 0.275494 + 1.68044i 0.655295 + 0.755373i \(0.272544\pi\)
−0.379801 + 0.925068i \(0.624007\pi\)
\(128\) 7.00387 + 6.63442i 0.619061 + 0.586406i
\(129\) −6.48573 + 3.00062i −0.571036 + 0.264190i
\(130\) 0.395282 0.300485i 0.0346685 0.0263543i
\(131\) −2.78024 + 16.9587i −0.242911 + 1.48169i 0.530447 + 0.847718i \(0.322024\pi\)
−0.773357 + 0.633970i \(0.781424\pi\)
\(132\) 2.35787 4.44742i 0.205226 0.387098i
\(133\) −11.5267 + 2.53723i −0.999494 + 0.220005i
\(134\) −10.5308 4.87209i −0.909726 0.420884i
\(135\) −0.0598465 0.150203i −0.00515077 0.0129274i
\(136\) 0.267355 + 4.93107i 0.0229255 + 0.422836i
\(137\) 8.54051 + 12.5963i 0.729665 + 1.07618i 0.993745 + 0.111674i \(0.0356213\pi\)
−0.264080 + 0.964501i \(0.585068\pi\)
\(138\) 0.708748 + 0.834402i 0.0603326 + 0.0710290i
\(139\) −1.28798 2.42938i −0.109245 0.206058i 0.822862 0.568241i \(-0.192376\pi\)
−0.932107 + 0.362184i \(0.882031\pi\)
\(140\) 0.696203 0.234578i 0.0588399 0.0198255i
\(141\) −0.298155 + 5.49915i −0.0251092 + 0.463112i
\(142\) −10.3174 + 6.20777i −0.865816 + 0.520944i
\(143\) −3.82509 13.7767i −0.319870 1.15207i
\(144\) 0.231179 0.832631i 0.0192649 0.0693859i
\(145\) 0.0966168 + 0.0581324i 0.00802359 + 0.00482763i
\(146\) 4.09800 6.04410i 0.339153 0.500214i
\(147\) 3.19692 0.347686i 0.263677 0.0286766i
\(148\) 2.31064 0.251297i 0.189933 0.0206565i
\(149\) −9.74019 + 14.3657i −0.797948 + 1.17688i 0.183095 + 0.983095i \(0.441388\pi\)
−0.981043 + 0.193790i \(0.937922\pi\)
\(150\) −3.24129 1.95022i −0.264650 0.159235i
\(151\) −4.03156 + 14.5204i −0.328083 + 1.18165i 0.597112 + 0.802158i \(0.296315\pi\)
−0.925195 + 0.379492i \(0.876099\pi\)
\(152\) −2.57074 9.25898i −0.208515 0.751003i
\(153\) 1.62608 0.978382i 0.131461 0.0790975i
\(154\) −0.465994 + 8.59474i −0.0375508 + 0.692584i
\(155\) −0.0803066 + 0.0270584i −0.00645038 + 0.00217339i
\(156\) −2.68877 5.07155i −0.215274 0.406049i
\(157\) −5.61698 6.61283i −0.448284 0.527761i 0.490881 0.871227i \(-0.336675\pi\)
−0.939165 + 0.343466i \(0.888399\pi\)
\(158\) 1.24537 + 1.83679i 0.0990767 + 0.146127i
\(159\) −0.408138 7.52767i −0.0323675 0.596983i
\(160\) 0.350798 + 0.880438i 0.0277331 + 0.0696047i
\(161\) 4.17571 + 1.93189i 0.329092 + 0.152254i
\(162\) 0.742748 0.163491i 0.0583558 0.0128451i
\(163\) 4.48762 8.46455i 0.351498 0.662995i −0.643216 0.765685i \(-0.722400\pi\)
0.994713 + 0.102690i \(0.0327450\pi\)
\(164\) 1.02112 6.22854i 0.0797359 0.486368i
\(165\) 0.455783 0.346477i 0.0354826 0.0269732i
\(166\) −9.68634 + 4.48138i −0.751805 + 0.347822i
\(167\) 8.91051 + 8.44049i 0.689516 + 0.653144i 0.949970 0.312342i \(-0.101113\pi\)
−0.260454 + 0.965486i \(0.583872\pi\)
\(168\) 1.34558 + 8.20769i 0.103814 + 0.633237i
\(169\) −3.13142 1.05510i −0.240879 0.0811615i
\(170\) −0.0863751 + 0.216785i −0.00662467 + 0.0166267i
\(171\) −2.68089 + 2.53947i −0.205013 + 0.194198i
\(172\) −8.08753 6.14798i −0.616668 0.468779i
\(173\) −7.46959 1.64418i −0.567903 0.125005i −0.0782677 0.996932i \(-0.524939\pi\)
−0.489635 + 0.871928i \(0.662870\pi\)
\(174\) −0.343359 + 0.404233i −0.0260300 + 0.0306449i
\(175\) −15.8043 1.71882i −1.19469 0.129931i
\(176\) 3.05983 0.230643
\(177\) 4.42307 6.27985i 0.332458 0.472022i
\(178\) 6.56221 0.491859
\(179\) −19.4913 2.11981i −1.45685 0.158442i −0.654845 0.755763i \(-0.727266\pi\)
−0.802002 + 0.597321i \(0.796232\pi\)
\(180\) 0.148804 0.175186i 0.0110912 0.0130576i
\(181\) 0.890582 + 0.196032i 0.0661964 + 0.0145709i 0.247945 0.968774i \(-0.420245\pi\)
−0.181749 + 0.983345i \(0.558176\pi\)
\(182\) 7.81389 + 5.93997i 0.579204 + 0.440300i
\(183\) 5.27264 4.99451i 0.389765 0.369205i
\(184\) −1.38650 + 3.47986i −0.102214 + 0.256539i
\(185\) 0.250515 + 0.0844083i 0.0184182 + 0.00620582i
\(186\) −0.0644871 0.393354i −0.00472842 0.0288421i
\(187\) 4.87851 + 4.62117i 0.356752 + 0.337934i
\(188\) −7.10546 + 3.28733i −0.518219 + 0.239753i
\(189\) 2.54448 1.93426i 0.185084 0.140697i
\(190\) 0.0734624 0.448101i 0.00532953 0.0325087i
\(191\) 0.0586804 0.110683i 0.00424596 0.00800874i −0.881380 0.472408i \(-0.843385\pi\)
0.885626 + 0.464399i \(0.153730\pi\)
\(192\) −2.66587 + 0.586802i −0.192393 + 0.0423488i
\(193\) 23.1750 + 10.7219i 1.66817 + 0.771778i 0.999604 + 0.0281268i \(0.00895422\pi\)
0.668567 + 0.743652i \(0.266908\pi\)
\(194\) −1.65972 4.16557i −0.119161 0.299071i
\(195\) −0.0353457 0.651913i −0.00253116 0.0466845i
\(196\) 2.56548 + 3.78380i 0.183249 + 0.270272i
\(197\) 9.60323 + 11.3058i 0.684201 + 0.805504i 0.989157 0.146862i \(-0.0469174\pi\)
−0.304955 + 0.952367i \(0.598642\pi\)
\(198\) 1.26142 + 2.37929i 0.0896452 + 0.169089i
\(199\) −0.360081 + 0.121325i −0.0255255 + 0.00860053i −0.332035 0.943267i \(-0.607735\pi\)
0.306510 + 0.951867i \(0.400839\pi\)
\(200\) 0.700724 12.9241i 0.0495487 0.913872i
\(201\) −13.0729 + 7.86573i −0.922094 + 0.554806i
\(202\) 0.879570 + 3.16792i 0.0618863 + 0.222894i
\(203\) −0.596314 + 2.14773i −0.0418530 + 0.150741i
\(204\) 2.31163 + 1.39086i 0.161847 + 0.0973799i
\(205\) 0.402858 0.594171i 0.0281368 0.0414987i
\(206\) −11.0967 + 1.20683i −0.773141 + 0.0840842i
\(207\) 1.43106 0.155638i 0.0994658 0.0108176i
\(208\) 1.95812 2.88800i 0.135771 0.200247i
\(209\) −11.2040 6.74121i −0.774996 0.466299i
\(210\) −0.105147 + 0.378704i −0.00725581 + 0.0261331i
\(211\) −2.05115 7.38757i −0.141207 0.508581i 0.858786 0.512334i \(-0.171219\pi\)
−0.999993 + 0.00375319i \(0.998805\pi\)
\(212\) 9.18296 5.52520i 0.630688 0.379473i
\(213\) −0.857147 + 15.8091i −0.0587307 + 1.08322i
\(214\) 14.7636 4.97443i 1.00922 0.340045i
\(215\) −0.541222 1.02085i −0.0369110 0.0696216i
\(216\) 1.68464 + 1.98331i 0.114625 + 0.134947i
\(217\) −0.940091 1.38653i −0.0638176 0.0941239i
\(218\) 0.494284 + 9.11653i 0.0334771 + 0.617449i
\(219\) −3.55396 8.91978i −0.240155 0.602743i
\(220\) 0.738674 + 0.341747i 0.0498014 + 0.0230406i
\(221\) 7.48363 1.64727i 0.503404 0.110808i
\(222\) −0.582438 + 1.09859i −0.0390907 + 0.0737328i
\(223\) 4.07693 24.8682i 0.273011 1.66530i −0.393139 0.919479i \(-0.628611\pi\)
0.666151 0.745817i \(-0.267941\pi\)
\(224\) −14.9148 + 11.3380i −0.996539 + 0.757549i
\(225\) −4.51415 + 2.08847i −0.300943 + 0.139231i
\(226\) −1.88604 1.78655i −0.125457 0.118839i
\(227\) −2.63686 16.0841i −0.175014 1.06754i −0.917517 0.397697i \(-0.869810\pi\)
0.742503 0.669843i \(-0.233639\pi\)
\(228\) −4.97474 1.67619i −0.329460 0.111008i
\(229\) 4.56117 11.4477i 0.301411 0.756484i −0.697782 0.716310i \(-0.745830\pi\)
0.999193 0.0401738i \(-0.0127912\pi\)
\(230\) −0.128510 + 0.121731i −0.00847370 + 0.00802671i
\(231\) 9.00987 + 6.84913i 0.592806 + 0.450639i
\(232\) −1.77231 0.390115i −0.116358 0.0256123i
\(233\) 0.636233 0.749032i 0.0416810 0.0490707i −0.740927 0.671586i \(-0.765613\pi\)
0.782608 + 0.622515i \(0.213889\pi\)
\(234\) 3.05291 + 0.332024i 0.199575 + 0.0217051i
\(235\) −0.890446 −0.0580863
\(236\) 10.8327 + 1.37369i 0.705151 + 0.0894198i
\(237\) 2.91794 0.189541
\(238\) −4.58598 0.498755i −0.297265 0.0323295i
\(239\) 12.8510 15.1294i 0.831261 0.978636i −0.168714 0.985665i \(-0.553961\pi\)
0.999975 + 0.00702857i \(0.00223728\pi\)
\(240\) 0.136452 + 0.0300353i 0.00880792 + 0.00193877i
\(241\) −1.73016 1.31523i −0.111449 0.0847214i 0.547965 0.836501i \(-0.315403\pi\)
−0.659414 + 0.751780i \(0.729196\pi\)
\(242\) −0.849355 + 0.804552i −0.0545986 + 0.0517186i
\(243\) 0.370138 0.928977i 0.0237444 0.0595939i
\(244\) 9.78408 + 3.29664i 0.626361 + 0.211046i
\(245\) 0.0841182 + 0.513098i 0.00537411 + 0.0327806i
\(246\) 2.45143 + 2.32211i 0.156297 + 0.148053i
\(247\) −13.5326 + 6.26083i −0.861056 + 0.398367i
\(248\) 1.08576 0.825376i 0.0689460 0.0524114i
\(249\) −2.27034 + 13.8485i −0.143877 + 0.877612i
\(250\) 0.574484 1.08359i 0.0363336 0.0685324i
\(251\) 7.63928 1.68153i 0.482187 0.106137i 0.0327763 0.999463i \(-0.489565\pi\)
0.449410 + 0.893325i \(0.351634\pi\)
\(252\) 4.12377 + 1.90786i 0.259773 + 0.120184i
\(253\) 1.88667 + 4.73518i 0.118614 + 0.297698i
\(254\) −0.790150 14.5735i −0.0495784 0.914420i
\(255\) 0.172193 + 0.253966i 0.0107832 + 0.0159040i
\(256\) −8.28421 9.75293i −0.517763 0.609558i
\(257\) 5.85502 + 11.0437i 0.365226 + 0.688890i 0.996217 0.0869005i \(-0.0276962\pi\)
−0.630991 + 0.775790i \(0.717351\pi\)
\(258\) 5.15040 1.73537i 0.320650 0.108039i
\(259\) −0.282914 + 5.21804i −0.0175794 + 0.324233i
\(260\) 0.795265 0.478495i 0.0493202 0.0296750i
\(261\) 0.186569 + 0.671960i 0.0115483 + 0.0415933i
\(262\) 3.49653 12.5934i 0.216016 0.778020i
\(263\) 19.2736 + 11.5965i 1.18846 + 0.715073i 0.965665 0.259792i \(-0.0836541\pi\)
0.222796 + 0.974865i \(0.428482\pi\)
\(264\) −5.17096 + 7.62660i −0.318251 + 0.469385i
\(265\) 1.21177 0.131788i 0.0744383 0.00809565i
\(266\) 8.92365 0.970505i 0.547144 0.0595055i
\(267\) 4.84219 7.14170i 0.296338 0.437065i
\(268\) −18.5844 11.1819i −1.13523 0.683043i
\(269\) −7.04148 + 25.3611i −0.429327 + 1.54629i 0.360377 + 0.932807i \(0.382648\pi\)
−0.789704 + 0.613488i \(0.789766\pi\)
\(270\) 0.0328973 + 0.118485i 0.00200207 + 0.00721079i
\(271\) 6.33899 3.81404i 0.385066 0.231687i −0.309837 0.950790i \(-0.600275\pi\)
0.694904 + 0.719103i \(0.255447\pi\)
\(272\) −0.0887814 + 1.63748i −0.00538316 + 0.0992866i
\(273\) 12.2303 4.12087i 0.740212 0.249406i
\(274\) −5.42146 10.2260i −0.327522 0.617773i
\(275\) −11.4019 13.4233i −0.687559 0.809457i
\(276\) 1.14841 + 1.69378i 0.0691261 + 0.101953i
\(277\) −1.18492 21.8546i −0.0711950 1.31312i −0.787928 0.615767i \(-0.788846\pi\)
0.716733 0.697348i \(-0.245637\pi\)
\(278\) 0.774039 + 1.94269i 0.0464238 + 0.116515i
\(279\) −0.475674 0.220070i −0.0284779 0.0131753i
\(280\) −1.31335 + 0.289090i −0.0784877 + 0.0172764i
\(281\) 6.65268 12.5483i 0.396866 0.748568i −0.601883 0.798585i \(-0.705582\pi\)
0.998748 + 0.0500162i \(0.0159273\pi\)
\(282\) 0.677608 4.13323i 0.0403510 0.246130i
\(283\) −10.3576 + 7.87364i −0.615695 + 0.468039i −0.865943 0.500142i \(-0.833281\pi\)
0.250248 + 0.968182i \(0.419488\pi\)
\(284\) −20.4270 + 9.45054i −1.21212 + 0.560786i
\(285\) −0.433464 0.410599i −0.0256762 0.0243218i
\(286\) 1.75921 + 10.7307i 0.104024 + 0.634520i
\(287\) 13.4479 + 4.53112i 0.793804 + 0.267464i
\(288\) −2.16962 + 5.44533i −0.127846 + 0.320869i
\(289\) 9.72734 9.21423i 0.572197 0.542013i
\(290\) −0.0682690 0.0518967i −0.00400889 0.00304748i
\(291\) −5.75811 1.26746i −0.337547 0.0742996i
\(292\) 8.83668 10.4033i 0.517127 0.608809i
\(293\) −18.5266 2.01489i −1.08234 0.117711i −0.450472 0.892790i \(-0.648744\pi\)
−0.631864 + 0.775079i \(0.717710\pi\)
\(294\) −2.44568 −0.142635
\(295\) 1.05260 + 0.659133i 0.0612846 + 0.0383762i
\(296\) −4.25455 −0.247291
\(297\) 3.52019 + 0.382844i 0.204262 + 0.0222148i
\(298\) 8.54553 10.0606i 0.495029 0.582793i
\(299\) 5.67663 + 1.24952i 0.328288 + 0.0722617i
\(300\) −5.62903 4.27908i −0.324992 0.247053i
\(301\) 16.5823 15.7076i 0.955789 0.905371i
\(302\) 4.24211 10.6469i 0.244106 0.612661i
\(303\) 4.09670 + 1.38034i 0.235349 + 0.0792984i
\(304\) −0.516242 3.14894i −0.0296085 0.180604i
\(305\) 0.852517 + 0.807547i 0.0488150 + 0.0462400i
\(306\) −1.30988 + 0.606016i −0.0748810 + 0.0346437i
\(307\) −24.5991 + 18.6997i −1.40394 + 1.06725i −0.416524 + 0.909125i \(0.636752\pi\)
−0.987419 + 0.158125i \(0.949455\pi\)
\(308\) −2.60292 + 15.8771i −0.148315 + 0.904683i
\(309\) −6.87472 + 12.9671i −0.391089 + 0.737672i
\(310\) 0.0629424 0.0138547i 0.00357489 0.000786892i
\(311\) −3.57618 1.65452i −0.202786 0.0938190i 0.315867 0.948803i \(-0.397705\pi\)
−0.518654 + 0.854984i \(0.673567\pi\)
\(312\) 3.88920 + 9.76116i 0.220183 + 0.552617i
\(313\) −1.25775 23.1979i −0.0710923 1.31122i −0.788702 0.614776i \(-0.789247\pi\)
0.717610 0.696445i \(-0.245236\pi\)
\(314\) 3.70308 + 5.46163i 0.208977 + 0.308218i
\(315\) 0.334560 + 0.393874i 0.0188503 + 0.0221923i
\(316\) 1.94302 + 3.66493i 0.109304 + 0.206168i
\(317\) 11.1468 3.75581i 0.626069 0.210947i 0.0116563 0.999932i \(-0.496290\pi\)
0.614413 + 0.788985i \(0.289393\pi\)
\(318\) −0.310401 + 5.72501i −0.0174064 + 0.321043i
\(319\) −2.11591 + 1.27310i −0.118468 + 0.0712799i
\(320\) −0.118075 0.425267i −0.00660059 0.0237732i
\(321\) 5.48020 19.7379i 0.305875 1.10166i
\(322\) −2.99828 1.80400i −0.167088 0.100533i
\(323\) 3.93266 5.80024i 0.218819 0.322734i
\(324\) 1.41326 0.153702i 0.0785146 0.00853898i
\(325\) −19.9661 + 2.17144i −1.10752 + 0.120450i
\(326\) −4.08898 + 6.03079i −0.226468 + 0.334015i
\(327\) 10.2863 + 6.18907i 0.568834 + 0.342256i
\(328\) −3.09089 + 11.1324i −0.170666 + 0.614683i
\(329\) −4.70910 16.9607i −0.259621 0.935071i
\(330\) −0.373094 + 0.224483i −0.0205381 + 0.0123574i
\(331\) −1.35693 + 25.0270i −0.0745834 + 1.37561i 0.686582 + 0.727052i \(0.259110\pi\)
−0.761165 + 0.648558i \(0.775372\pi\)
\(332\) −18.9054 + 6.36999i −1.03757 + 0.349598i
\(333\) 0.765833 + 1.44451i 0.0419674 + 0.0791589i
\(334\) −6.04293 7.11429i −0.330655 0.389277i
\(335\) −1.38435 2.04177i −0.0756354 0.111554i
\(336\) 0.149528 + 2.75789i 0.00815743 + 0.150455i
\(337\) 0.547441 + 1.37397i 0.0298210 + 0.0748450i 0.943133 0.332415i \(-0.107864\pi\)
−0.913312 + 0.407260i \(0.866484\pi\)
\(338\) 2.28082 + 1.05522i 0.124060 + 0.0573964i
\(339\) −3.33600 + 0.734310i −0.181187 + 0.0398822i
\(340\) −0.204320 + 0.385388i −0.0110808 + 0.0209006i
\(341\) 0.300245 1.83142i 0.0162592 0.0991767i
\(342\) 2.23575 1.69958i 0.120896 0.0919026i
\(343\) 10.9773 5.07864i 0.592719 0.274221i
\(344\) 13.5006 + 12.7885i 0.727905 + 0.689508i
\(345\) 0.0376546 + 0.229683i 0.00202725 + 0.0123657i
\(346\) 5.51234 + 1.85732i 0.296345 + 0.0998504i
\(347\) 3.29051 8.25855i 0.176644 0.443342i −0.813820 0.581117i \(-0.802616\pi\)
0.990464 + 0.137775i \(0.0439951\pi\)
\(348\) −0.719746 + 0.681780i −0.0385825 + 0.0365472i
\(349\) 5.05125 + 3.83986i 0.270387 + 0.205543i 0.731578 0.681758i \(-0.238784\pi\)
−0.461190 + 0.887301i \(0.652577\pi\)
\(350\) 11.8078 + 2.59910i 0.631155 + 0.138928i
\(351\) 2.61406 3.07751i 0.139528 0.164265i
\(352\) −20.6341 2.24409i −1.09980 0.119610i
\(353\) −20.7778 −1.10589 −0.552944 0.833218i \(-0.686496\pi\)
−0.552944 + 0.833218i \(0.686496\pi\)
\(354\) −3.86053 + 4.38431i −0.205185 + 0.233023i
\(355\) −2.55989 −0.135865
\(356\) 12.1943 + 1.32621i 0.646298 + 0.0702891i
\(357\) −3.92675 + 4.62293i −0.207826 + 0.244671i
\(358\) 14.5625 + 3.20544i 0.769651 + 0.169413i
\(359\) 14.2684 + 10.8466i 0.753059 + 0.572460i 0.909735 0.415190i \(-0.136285\pi\)
−0.156676 + 0.987650i \(0.550078\pi\)
\(360\) −0.305459 + 0.289346i −0.0160991 + 0.0152499i
\(361\) 1.98539 4.98296i 0.104494 0.262261i
\(362\) −0.657223 0.221444i −0.0345429 0.0116389i
\(363\) 0.248869 + 1.51803i 0.0130622 + 0.0796760i
\(364\) 13.3198 + 12.6172i 0.698148 + 0.661321i
\(365\) 1.40899 0.651866i 0.0737497 0.0341203i
\(366\) −4.39717 + 3.34264i −0.229844 + 0.174723i
\(367\) −1.07365 + 6.54896i −0.0560440 + 0.341853i 0.943889 + 0.330263i \(0.107138\pi\)
−0.999933 + 0.0115899i \(0.996311\pi\)
\(368\) −0.582660 + 1.09901i −0.0303733 + 0.0572900i
\(369\) 4.33606 0.954439i 0.225726 0.0496861i
\(370\) −0.182466 0.0844178i −0.00948597 0.00438867i
\(371\) 8.91861 + 22.3840i 0.463031 + 1.16212i
\(372\) −0.0403378 0.743988i −0.00209142 0.0385740i
\(373\) 3.79311 + 5.59443i 0.196400 + 0.289668i 0.913118 0.407694i \(-0.133667\pi\)
−0.716718 + 0.697363i \(0.754357\pi\)
\(374\) −3.30851 3.89508i −0.171079 0.201410i
\(375\) −0.755375 1.42479i −0.0390074 0.0735758i
\(376\) 13.5808 4.57592i 0.700378 0.235985i
\(377\) −0.152451 + 2.81180i −0.00785164 + 0.144815i
\(378\) −2.08286 + 1.25321i −0.107131 + 0.0644584i
\(379\) 1.90299 + 6.85395i 0.0977500 + 0.352064i 0.996209 0.0869942i \(-0.0277262\pi\)
−0.898459 + 0.439058i \(0.855312\pi\)
\(380\) 0.227073 0.817843i 0.0116486 0.0419545i
\(381\) −16.4434 9.89369i −0.842423 0.506869i
\(382\) −0.0534677 + 0.0788590i −0.00273565 + 0.00403478i
\(383\) −26.8508 + 2.92021i −1.37201 + 0.149216i −0.764259 0.644909i \(-0.776895\pi\)
−0.607755 + 0.794125i \(0.707930\pi\)
\(384\) −9.59072 + 1.04305i −0.489424 + 0.0532281i
\(385\) −1.02692 + 1.51460i −0.0523368 + 0.0771910i
\(386\) −16.6403 10.0121i −0.846968 0.509604i
\(387\) 1.91181 6.88573i 0.0971830 0.350021i
\(388\) −2.24234 8.07616i −0.113837 0.410005i
\(389\) 15.8981 9.56558i 0.806067 0.484994i −0.0519292 0.998651i \(-0.516537\pi\)
0.857996 + 0.513657i \(0.171709\pi\)
\(390\) −0.0268814 + 0.495799i −0.00136119 + 0.0251057i
\(391\) −2.58879 + 0.872263i −0.130921 + 0.0441123i
\(392\) −3.91971 7.39336i −0.197975 0.373421i
\(393\) −11.1254 13.0978i −0.561202 0.660698i
\(394\) −6.33107 9.33762i −0.318955 0.470423i
\(395\) 0.0255424 + 0.471101i 0.00128518 + 0.0237037i
\(396\) 1.86320 + 4.67628i 0.0936293 + 0.234992i
\(397\) 15.9250 + 7.36771i 0.799255 + 0.369775i 0.776620 0.629969i \(-0.216932\pi\)
0.0226348 + 0.999744i \(0.492795\pi\)
\(398\) 0.282223 0.0621219i 0.0141465 0.00311389i
\(399\) 5.52847 10.4278i 0.276770 0.522043i
\(400\) 0.695347 4.24143i 0.0347674 0.212071i
\(401\) −14.8603 + 11.2965i −0.742088 + 0.564120i −0.906467 0.422277i \(-0.861231\pi\)
0.164379 + 0.986397i \(0.447438\pi\)
\(402\) 10.5308 4.87209i 0.525231 0.242998i
\(403\) −1.53643 1.45539i −0.0765351 0.0724979i
\(404\) 0.994240 + 6.06460i 0.0494653 + 0.301725i
\(405\) 0.153223 + 0.0516269i 0.00761372 + 0.00256536i
\(406\) 0.627458 1.57480i 0.0311402 0.0781560i
\(407\) −4.20303 + 3.98132i −0.208336 + 0.197347i
\(408\) −3.93136 2.98854i −0.194631 0.147955i
\(409\) −26.9568 5.93363i −1.33293 0.293399i −0.509328 0.860572i \(-0.670106\pi\)
−0.823599 + 0.567173i \(0.808037\pi\)
\(410\) −0.353446 + 0.416109i −0.0174555 + 0.0205502i
\(411\) −15.1294 1.64543i −0.746280 0.0811628i
\(412\) −20.8644 −1.02792
\(413\) −6.98811 + 23.5350i −0.343862 + 1.15808i
\(414\) −1.09478 −0.0538056
\(415\) −2.25571 0.245323i −0.110728 0.0120424i
\(416\) −15.3227 + 18.0393i −0.751256 + 0.884447i
\(417\) 2.68540 + 0.591102i 0.131505 + 0.0289464i
\(418\) 7.91669 + 6.01811i 0.387218 + 0.294355i
\(419\) −17.2972 + 16.3847i −0.845022 + 0.800447i −0.981753 0.190161i \(-0.939099\pi\)
0.136731 + 0.990608i \(0.456340\pi\)
\(420\) −0.271926 + 0.682482i −0.0132686 + 0.0333017i
\(421\) 26.2648 + 8.84964i 1.28007 + 0.431305i 0.875507 0.483206i \(-0.160528\pi\)
0.404561 + 0.914511i \(0.367424\pi\)
\(422\) 0.943350 + 5.75418i 0.0459216 + 0.280109i
\(423\) −3.99822 3.78732i −0.194400 0.184146i
\(424\) −17.8043 + 8.23715i −0.864654 + 0.400031i
\(425\) 7.51435 5.71226i 0.364499 0.277085i
\(426\) 1.94801 11.8823i 0.0943815 0.575701i
\(427\) −10.8731 + 20.5089i −0.526188 + 0.992495i
\(428\) 28.4399 6.26010i 1.37470 0.302593i
\(429\) 12.9764 + 6.00352i 0.626507 + 0.289853i
\(430\) 0.325260 + 0.816340i 0.0156854 + 0.0393674i
\(431\) −2.07869 38.3391i −0.100127 1.84673i −0.430150 0.902757i \(-0.641539\pi\)
0.330024 0.943973i \(-0.392943\pi\)
\(432\) 0.484938 + 0.715229i 0.0233316 + 0.0344115i
\(433\) 18.5233 + 21.8074i 0.890175 + 1.04799i 0.998547 + 0.0538845i \(0.0171603\pi\)
−0.108372 + 0.994110i \(0.534564\pi\)
\(434\) 0.596764 + 1.12562i 0.0286456 + 0.0540313i
\(435\) −0.106855 + 0.0360035i −0.00512329 + 0.00172624i
\(436\) −0.923926 + 17.0408i −0.0442480 + 0.816107i
\(437\) 4.55476 2.74051i 0.217884 0.131096i
\(438\) 1.95360 + 7.03621i 0.0933464 + 0.336203i
\(439\) 0.867413 3.12414i 0.0413994 0.149107i −0.939962 0.341280i \(-0.889140\pi\)
0.981361 + 0.192173i \(0.0615534\pi\)
\(440\) −1.27658 0.768091i −0.0608584 0.0366173i
\(441\) −1.80465 + 2.66166i −0.0859356 + 0.126746i
\(442\) −5.79360 + 0.630092i −0.275574 + 0.0299704i
\(443\) 11.6401 1.26594i 0.553038 0.0601465i 0.172667 0.984980i \(-0.444762\pi\)
0.380372 + 0.924834i \(0.375796\pi\)
\(444\) −1.30435 + 1.92377i −0.0619016 + 0.0912980i
\(445\) 1.19541 + 0.719256i 0.0566680 + 0.0340960i
\(446\) −5.12730 + 18.4669i −0.242785 + 0.874431i
\(447\) −4.64333 16.7238i −0.219622 0.791007i
\(448\) 7.47579 4.49803i 0.353198 0.212512i
\(449\) 0.0993852 1.83305i 0.00469028 0.0865070i −0.995251 0.0973416i \(-0.968966\pi\)
0.999941 + 0.0108346i \(0.00344882\pi\)
\(450\) 3.58475 1.20784i 0.168987 0.0569382i
\(451\) 7.36399 + 13.8900i 0.346757 + 0.654053i
\(452\) −3.14369 3.70104i −0.147867 0.174082i
\(453\) −8.45689 12.4730i −0.397339 0.586032i
\(454\) 0.671091 + 12.3775i 0.0314958 + 0.580907i
\(455\) 0.772372 + 1.93851i 0.0362094 + 0.0908787i
\(456\) 8.72111 + 4.03482i 0.408403 + 0.188948i
\(457\) −28.4700 + 6.26673i −1.33177 + 0.293145i −0.823140 0.567838i \(-0.807780\pi\)
−0.508633 + 0.860984i \(0.669849\pi\)
\(458\) −4.38988 + 8.28020i −0.205126 + 0.386908i
\(459\) −0.307018 + 1.87273i −0.0143304 + 0.0874115i
\(460\) −0.263407 + 0.200237i −0.0122814 + 0.00933609i
\(461\) −7.48814 + 3.46438i −0.348758 + 0.161352i −0.586445 0.809989i \(-0.699473\pi\)
0.237687 + 0.971342i \(0.423611\pi\)
\(462\) −6.24891 5.91928i −0.290726 0.275390i
\(463\) 0.760225 + 4.63717i 0.0353306 + 0.215507i 0.998591 0.0530610i \(-0.0168978\pi\)
−0.963261 + 0.268568i \(0.913449\pi\)
\(464\) −0.571080 0.192419i −0.0265117 0.00893284i
\(465\) 0.0313665 0.0787239i 0.00145458 0.00365073i
\(466\) −0.542628 + 0.514005i −0.0251368 + 0.0238108i
\(467\) 5.18060 + 3.93819i 0.239730 + 0.182238i 0.718140 0.695899i \(-0.244994\pi\)
−0.478410 + 0.878136i \(0.658787\pi\)
\(468\) 5.60602 + 1.23398i 0.259138 + 0.0570407i
\(469\) 31.5692 37.1662i 1.45773 1.71617i
\(470\) 0.673240 + 0.0732193i 0.0310543 + 0.00337735i
\(471\) 8.67640 0.399788
\(472\) −19.4411 4.64371i −0.894851 0.213744i
\(473\) 25.3043 1.16349
\(474\) −2.20617 0.239936i −0.101333 0.0110206i
\(475\) −11.8905 + 13.9986i −0.545575 + 0.642301i
\(476\) −8.42116 1.85364i −0.385983 0.0849613i
\(477\) 6.00153 + 4.56224i 0.274791 + 0.208891i
\(478\) −10.9603 + 10.3821i −0.501313 + 0.474868i
\(479\) 8.22295 20.6380i 0.375716 0.942976i −0.612577 0.790411i \(-0.709867\pi\)
0.988293 0.152565i \(-0.0487535\pi\)
\(480\) −0.898138 0.302618i −0.0409942 0.0138126i
\(481\) 1.06805 + 6.51482i 0.0486989 + 0.297050i
\(482\) 1.19997 + 1.13667i 0.0546572 + 0.0517740i
\(483\) −4.17571 + 1.93189i −0.190002 + 0.0879041i
\(484\) −1.74092 + 1.32342i −0.0791330 + 0.0601553i
\(485\) 0.154227 0.940741i 0.00700307 0.0427168i
\(486\) −0.356238 + 0.671936i −0.0161593 + 0.0304796i
\(487\) −11.3083 + 2.48914i −0.512427 + 0.112794i −0.463654 0.886016i \(-0.653462\pi\)
−0.0487728 + 0.998810i \(0.515531\pi\)
\(488\) −17.1523 7.93548i −0.776446 0.359222i
\(489\) 3.54614 + 8.90013i 0.160362 + 0.402478i
\(490\) −0.0214084 0.394855i −0.000967134 0.0178377i
\(491\) −16.9364 24.9794i −0.764331 1.12730i −0.988272 0.152701i \(-0.951203\pi\)
0.223941 0.974603i \(-0.428108\pi\)
\(492\) 4.08610 + 4.81053i 0.184216 + 0.216875i
\(493\) −0.619909 1.16927i −0.0279193 0.0526614i
\(494\) 10.7464 3.62088i 0.483502 0.162911i
\(495\) −0.0309959 + 0.571685i −0.00139316 + 0.0256953i
\(496\) 0.388073 0.233496i 0.0174250 0.0104843i
\(497\) −13.5379 48.7591i −0.607257 2.18714i
\(498\) 2.85527 10.2837i 0.127948 0.460825i
\(499\) 36.0238 + 21.6748i 1.61265 + 0.970298i 0.980755 + 0.195242i \(0.0625491\pi\)
0.631892 + 0.775056i \(0.282278\pi\)
\(500\) 1.28654 1.89750i 0.0575356 0.0848587i
\(501\) −12.2016 + 1.32700i −0.545126 + 0.0592860i
\(502\) −5.91410 + 0.643197i −0.263959 + 0.0287073i
\(503\) 23.0026 33.9263i 1.02564 1.51270i 0.176658 0.984272i \(-0.443471\pi\)
0.848978 0.528428i \(-0.177218\pi\)
\(504\) −7.12670 4.28799i −0.317448 0.191002i
\(505\) −0.186995 + 0.673495i −0.00832116 + 0.0299701i
\(506\) −1.03709 3.73527i −0.0461043 0.166053i
\(507\) 2.83140 1.70360i 0.125747 0.0756594i
\(508\) 1.47696 27.2410i 0.0655297 1.20862i
\(509\) 1.54935 0.522038i 0.0686739 0.0231389i −0.284755 0.958600i \(-0.591912\pi\)
0.353429 + 0.935461i \(0.385016\pi\)
\(510\) −0.109307 0.206176i −0.00484021 0.00912960i
\(511\) 19.8677 + 23.3901i 0.878897 + 1.03472i
\(512\) −5.36636 7.91479i −0.237162 0.349787i
\(513\) −0.199919 3.68729i −0.00882664 0.162798i
\(514\) −3.51871 8.83129i −0.155204 0.389532i
\(515\) −2.15371 0.996413i −0.0949039 0.0439072i
\(516\) 9.92151 2.18389i 0.436770 0.0961404i
\(517\) 9.13433 17.2292i 0.401728 0.757739i
\(518\) 0.642970 3.92194i 0.0282505 0.172320i
\(519\) 6.08885 4.62862i 0.267271 0.203174i
\(520\) −1.54189 + 0.713356i −0.0676165 + 0.0312827i
\(521\) 18.4184 + 17.4468i 0.806924 + 0.764359i 0.975187 0.221383i \(-0.0710570\pi\)
−0.168263 + 0.985742i \(0.553816\pi\)
\(522\) −0.0858055 0.523390i −0.00375560 0.0229082i
\(523\) −2.57119 0.866335i −0.112430 0.0378822i 0.262524 0.964925i \(-0.415445\pi\)
−0.374954 + 0.927043i \(0.622342\pi\)
\(524\) 9.04257 22.6951i 0.395027 0.991442i
\(525\) 11.5415 10.9327i 0.503713 0.477142i
\(526\) −13.6186 10.3526i −0.593801 0.451396i
\(527\) 0.971375 + 0.213816i 0.0423138 + 0.00931396i
\(528\) −1.98089 + 2.33209i −0.0862073 + 0.101491i
\(529\) 20.8052 + 2.26270i 0.904572 + 0.0983781i
\(530\) −0.927018 −0.0402671
\(531\) 1.92282 + 7.43658i 0.0834435 + 0.322720i
\(532\) 16.7786 0.727446
\(533\) 17.8225 + 1.93831i 0.771978 + 0.0839577i
\(534\) −4.24829 + 5.00147i −0.183841 + 0.216435i
\(535\) 3.23465 + 0.712000i 0.139846 + 0.0307824i
\(536\) 31.6063 + 24.0265i 1.36518 + 1.03778i
\(537\) 14.2340 13.4832i 0.614244 0.581842i
\(538\) 7.40924 18.5958i 0.319435 0.801721i
\(539\) −10.7908 3.63584i −0.464793 0.156607i
\(540\) 0.0371862 + 0.226826i 0.00160024 + 0.00976102i
\(541\) 7.51047 + 7.11429i 0.322900 + 0.305867i 0.831929 0.554882i \(-0.187237\pi\)
−0.509029 + 0.860750i \(0.669995\pi\)
\(542\) −5.10634 + 2.36244i −0.219336 + 0.101476i
\(543\) −0.725958 + 0.551859i −0.0311539 + 0.0236825i
\(544\) 1.79963 10.9773i 0.0771585 0.470646i
\(545\) −0.909182 + 1.71490i −0.0389451 + 0.0734582i
\(546\) −9.58582 + 2.11000i −0.410235 + 0.0902996i
\(547\) 9.64639 + 4.46289i 0.412450 + 0.190820i 0.615131 0.788425i \(-0.289103\pi\)
−0.202681 + 0.979245i \(0.564965\pi\)
\(548\) −8.00785 20.0982i −0.342079 0.858552i
\(549\) 0.393191 + 7.25198i 0.0167810 + 0.309507i
\(550\) 7.51685 + 11.0865i 0.320520 + 0.472731i
\(551\) 1.66716 + 1.96273i 0.0710235 + 0.0836153i
\(552\) −1.75461 3.30955i −0.0746813 0.140864i
\(553\) −8.83816 + 2.97792i −0.375837 + 0.126634i
\(554\) −0.901167 + 16.6210i −0.0382869 + 0.706160i
\(555\) −0.226513 + 0.136288i −0.00961493 + 0.00578511i
\(556\) 1.04575 + 3.76646i 0.0443498 + 0.159734i
\(557\) −1.38730 + 4.99659i −0.0587816 + 0.211712i −0.987108 0.160053i \(-0.948834\pi\)
0.928327 + 0.371765i \(0.121247\pi\)
\(558\) 0.341547 + 0.205502i 0.0144589 + 0.00869960i
\(559\) 16.1933 23.8834i 0.684904 1.01016i
\(560\) −0.443951 + 0.0482826i −0.0187604 + 0.00204031i
\(561\) −6.68036 + 0.726533i −0.282045 + 0.0306743i
\(562\) −6.06171 + 8.94036i −0.255698 + 0.377126i
\(563\) −22.2103 13.3635i −0.936053 0.563205i −0.0361750 0.999345i \(-0.511517\pi\)
−0.899878 + 0.436141i \(0.856345\pi\)
\(564\) 2.09449 7.54368i 0.0881941 0.317646i
\(565\) −0.147756 0.532169i −0.00621614 0.0223885i
\(566\) 8.47850 5.10135i 0.356378 0.214426i
\(567\) −0.173039 + 3.19152i −0.00726697 + 0.134031i
\(568\) 39.0427 13.1550i 1.63819 0.551972i
\(569\) −4.43747 8.36996i −0.186029 0.350887i 0.772903 0.634524i \(-0.218804\pi\)
−0.958932 + 0.283637i \(0.908459\pi\)
\(570\) 0.293967 + 0.346085i 0.0123129 + 0.0144959i
\(571\) −12.9011 19.0277i −0.539894 0.796284i 0.455692 0.890137i \(-0.349392\pi\)
−0.995586 + 0.0938535i \(0.970081\pi\)
\(572\) 1.10042 + 20.2960i 0.0460108 + 0.848619i
\(573\) 0.0463695 + 0.116379i 0.00193711 + 0.00486179i
\(574\) −9.79497 4.53164i −0.408834 0.189147i
\(575\) 6.99249 1.53916i 0.291607 0.0641875i
\(576\) 1.27861 2.41171i 0.0532754 0.100488i
\(577\) 2.72184 16.6025i 0.113312 0.691171i −0.867680 0.497123i \(-0.834390\pi\)
0.980992 0.194048i \(-0.0621619\pi\)
\(578\) −8.11222 + 6.16675i −0.337424 + 0.256503i
\(579\) −23.1750 + 10.7219i −0.963119 + 0.445586i
\(580\) −0.116374 0.110235i −0.00483215 0.00457725i
\(581\) −7.25650 44.2627i −0.301050 1.83632i
\(582\) 4.24932 + 1.43176i 0.176140 + 0.0593485i
\(583\) −9.88055 + 24.7983i −0.409211 + 1.02704i
\(584\) −18.1396 + 17.1827i −0.750622 + 0.711027i
\(585\) 0.519746 + 0.395101i 0.0214888 + 0.0163354i
\(586\) 13.8417 + 3.04680i 0.571797 + 0.125862i
\(587\) −19.0789 + 22.4614i −0.787470 + 0.927082i −0.998732 0.0503477i \(-0.983967\pi\)
0.211261 + 0.977430i \(0.432243\pi\)
\(588\) −4.54473 0.494269i −0.187421 0.0203833i
\(589\) −1.93540 −0.0797469
\(590\) −0.741639 0.584903i −0.0305328 0.0240801i
\(591\) −14.8338 −0.610183
\(592\) −1.40454 0.152753i −0.0577262 0.00627811i
\(593\) 13.5436 15.9448i 0.556170 0.654774i −0.410180 0.912005i \(-0.634534\pi\)
0.966350 + 0.257230i \(0.0828099\pi\)
\(594\) −2.63003 0.578913i −0.107911 0.0237531i
\(595\) −0.780744 0.593506i −0.0320074 0.0243314i
\(596\) 17.9131 16.9682i 0.733748 0.695043i
\(597\) 0.140642 0.352984i 0.00575609 0.0144467i
\(598\) −4.18919 1.41150i −0.171309 0.0577206i
\(599\) 4.63588 + 28.2776i 0.189417 + 1.15539i 0.894767 + 0.446533i \(0.147342\pi\)
−0.705350 + 0.708859i \(0.749210\pi\)
\(600\) 9.39662 + 8.90095i 0.383615 + 0.363380i
\(601\) −27.5973 + 12.7679i −1.12572 + 0.520813i −0.892246 0.451550i \(-0.850871\pi\)
−0.233473 + 0.972363i \(0.575009\pi\)
\(602\) −13.8290 + 10.5125i −0.563628 + 0.428459i
\(603\) 2.46828 15.0559i 0.100516 0.613122i
\(604\) 10.0347 18.9274i 0.408306 0.770146i
\(605\) −0.242907 + 0.0534679i −0.00987559 + 0.00217378i
\(606\) −2.98389 1.38050i −0.121212 0.0560788i
\(607\) 13.8001 + 34.6356i 0.560129 + 1.40582i 0.887450 + 0.460904i \(0.152475\pi\)
−0.327321 + 0.944913i \(0.606146\pi\)
\(608\) 1.17185 + 21.6136i 0.0475249 + 0.876546i
\(609\) −1.25087 1.84490i −0.0506879 0.0747590i
\(610\) −0.578160 0.680663i −0.0234090 0.0275592i
\(611\) −10.4162 19.6471i −0.421395 0.794835i
\(612\) −2.55658 + 0.861413i −0.103344 + 0.0348206i
\(613\) −1.40122 + 25.8439i −0.0565946 + 1.04383i 0.822982 + 0.568068i \(0.192309\pi\)
−0.879576 + 0.475758i \(0.842174\pi\)
\(614\) 20.1363 12.1156i 0.812634 0.488945i
\(615\) 0.192050 + 0.691701i 0.00774420 + 0.0278921i
\(616\) 7.87896 28.3775i 0.317452 1.14336i
\(617\) −13.4091 8.06802i −0.539832 0.324806i 0.219391 0.975637i \(-0.429593\pi\)
−0.759223 + 0.650831i \(0.774421\pi\)
\(618\) 6.26402 9.23874i 0.251976 0.371637i
\(619\) −28.5299 + 3.10281i −1.14671 + 0.124713i −0.661683 0.749784i \(-0.730157\pi\)
−0.485031 + 0.874497i \(0.661192\pi\)
\(620\) 0.119764 0.0130251i 0.00480982 0.000523099i
\(621\) −0.807830 + 1.19146i −0.0324171 + 0.0478117i
\(622\) 2.56779 + 1.54499i 0.102959 + 0.0619485i
\(623\) −7.37802 + 26.5732i −0.295594 + 1.06463i
\(624\) 0.933470 + 3.36205i 0.0373687 + 0.134590i
\(625\) −21.0860 + 12.6870i −0.843440 + 0.507481i
\(626\) −0.956556 + 17.6426i −0.0382317 + 0.705142i
\(627\) 12.3912 4.17508i 0.494857 0.166737i
\(628\) 5.77751 + 10.8975i 0.230548 + 0.434859i
\(629\) −2.00866 2.36478i −0.0800906 0.0942900i
\(630\) −0.220563 0.325307i −0.00878746 0.0129605i
\(631\) 0.261389 + 4.82103i 0.0104057 + 0.191922i 0.999115 + 0.0420728i \(0.0133961\pi\)
−0.988709 + 0.149849i \(0.952121\pi\)
\(632\) −2.81051 7.05385i −0.111796 0.280587i
\(633\) 6.95841 + 3.21930i 0.276572 + 0.127956i
\(634\) −8.73663 + 1.92308i −0.346976 + 0.0763751i
\(635\) 1.45340 2.74140i 0.0576763 0.108789i
\(636\) −1.73382 + 10.5758i −0.0687505 + 0.419360i
\(637\) −10.3372 + 7.85810i −0.409573 + 0.311349i
\(638\) 1.70446 0.788567i 0.0674802 0.0312197i
\(639\) −11.4942 10.8879i −0.454704 0.430719i
\(640\) −0.252354 1.53929i −0.00997515 0.0608457i
\(641\) 6.52143 + 2.19733i 0.257581 + 0.0867891i 0.445130 0.895466i \(-0.353158\pi\)
−0.187549 + 0.982255i \(0.560054\pi\)
\(642\) −5.76641 + 14.4726i −0.227582 + 0.571188i
\(643\) −28.1696 + 26.6837i −1.11090 + 1.05230i −0.112624 + 0.993638i \(0.535926\pi\)
−0.998278 + 0.0586645i \(0.981316\pi\)
\(644\) −5.20701 3.95826i −0.205185 0.155977i
\(645\) 1.12843 + 0.248387i 0.0444321 + 0.00978024i
\(646\) −3.45031 + 4.06202i −0.135751 + 0.159818i
\(647\) −22.5991 2.45780i −0.888464 0.0966262i −0.347508 0.937677i \(-0.612972\pi\)
−0.540956 + 0.841051i \(0.681937\pi\)
\(648\) −2.60222 −0.102225
\(649\) −23.5512 + 13.6051i −0.924466 + 0.534049i
\(650\) 15.2743 0.599107
\(651\) 1.66536 + 0.181119i 0.0652707 + 0.00709862i
\(652\) −8.81721 + 10.3804i −0.345309 + 0.406529i
\(653\) 21.3127 + 4.69129i 0.834032 + 0.183584i 0.611403 0.791319i \(-0.290605\pi\)
0.222629 + 0.974903i \(0.428536\pi\)
\(654\) −7.26826 5.52519i −0.284212 0.216052i
\(655\) 2.01725 1.91084i 0.0788206 0.0746629i
\(656\) −1.42008 + 3.56412i −0.0554446 + 0.139156i
\(657\) 9.09910 + 3.06585i 0.354990 + 0.119610i
\(658\) 2.16578 + 13.2107i 0.0844309 + 0.515006i
\(659\) −12.6368 11.9702i −0.492259 0.466292i 0.400843 0.916147i \(-0.368717\pi\)
−0.893102 + 0.449855i \(0.851476\pi\)
\(660\) −0.738674 + 0.341747i −0.0287529 + 0.0133025i
\(661\) −7.40024 + 5.62552i −0.287836 + 0.218807i −0.739121 0.673573i \(-0.764759\pi\)
0.451285 + 0.892380i \(0.350966\pi\)
\(662\) 3.08385 18.8106i 0.119857 0.731096i
\(663\) −3.58931 + 6.77016i −0.139397 + 0.262931i
\(664\) 35.6641 7.85026i 1.38404 0.304649i
\(665\) 1.73196 + 0.801290i 0.0671625 + 0.0310727i
\(666\) −0.460245 1.15513i −0.0178341 0.0447603i
\(667\) −0.0543490 1.00241i −0.00210440 0.0388134i
\(668\) −9.79158 14.4415i −0.378848 0.558758i
\(669\) 16.3142 + 19.2066i 0.630745 + 0.742570i
\(670\) 0.878780 + 1.65755i 0.0339502 + 0.0640369i
\(671\) −24.3704 + 8.21135i −0.940809 + 0.316996i
\(672\) 1.01429 18.7076i 0.0391273 0.721660i
\(673\) −31.1821 + 18.7617i −1.20198 + 0.723209i −0.968467 0.249143i \(-0.919851\pi\)
−0.233517 + 0.972353i \(0.575023\pi\)
\(674\) −0.300925 1.08383i −0.0115912 0.0417477i
\(675\) 1.33065 4.79256i 0.0512167 0.184466i
\(676\) 4.02511 + 2.42183i 0.154812 + 0.0931471i
\(677\) −25.1118 + 37.0371i −0.965125 + 1.42345i −0.0600523 + 0.998195i \(0.519127\pi\)
−0.905072 + 0.425257i \(0.860184\pi\)
\(678\) 2.58263 0.280878i 0.0991854 0.0107871i
\(679\) 18.7343 2.03747i 0.718955 0.0781911i
\(680\) 0.448086 0.660877i 0.0171833 0.0253435i
\(681\) 13.9658 + 8.40292i 0.535169 + 0.322001i
\(682\) −0.377600 + 1.35999i −0.0144590 + 0.0520767i
\(683\) 4.55419 + 16.4027i 0.174261 + 0.627633i 0.998145 + 0.0608745i \(0.0193889\pi\)
−0.823884 + 0.566758i \(0.808197\pi\)
\(684\) 4.49810 2.70642i 0.171989 0.103483i
\(685\) 0.133217 2.45705i 0.00508997 0.0938789i
\(686\) −8.71722 + 2.93717i −0.332825 + 0.112142i
\(687\) 5.77215 + 10.8874i 0.220221 + 0.415381i
\(688\) 3.99777 + 4.70653i 0.152413 + 0.179435i
\(689\) 17.0828 + 25.1952i 0.650801 + 0.959860i
\(690\) −0.00958324 0.176752i −0.000364828 0.00672885i
\(691\) −13.1245 32.9399i −0.499278 1.25309i −0.935523 0.353265i \(-0.885071\pi\)
0.436246 0.899828i \(-0.356308\pi\)
\(692\) 9.86802 + 4.56543i 0.375126 + 0.173552i
\(693\) −11.0530 + 2.43295i −0.419869 + 0.0924202i
\(694\) −3.16693 + 5.97347i −0.120215 + 0.226750i
\(695\) −0.0719264 + 0.438732i −0.00272832 + 0.0166420i
\(696\) 1.44470 1.09823i 0.0547612 0.0416284i
\(697\) −7.64692 + 3.53784i −0.289648 + 0.134005i
\(698\) −3.50336 3.31856i −0.132604 0.125609i
\(699\) 0.158995 + 0.969826i 0.00601374 + 0.0366822i
\(700\) 21.4168 + 7.21616i 0.809479 + 0.272745i
\(701\) 16.6669 41.8308i 0.629500 1.57993i −0.174080 0.984731i \(-0.555695\pi\)
0.803581 0.595196i \(-0.202925\pi\)
\(702\) −2.22947 + 2.11187i −0.0841460 + 0.0797073i
\(703\) 4.80638 + 3.65371i 0.181276 + 0.137802i
\(704\) 9.43970 + 2.07783i 0.355772 + 0.0783113i
\(705\) 0.576463 0.678664i 0.0217108 0.0255600i
\(706\) 15.7094 + 1.70850i 0.591233 + 0.0643004i
\(707\) −13.8172 −0.519650
\(708\) −8.05994 + 7.36699i −0.302911 + 0.276868i
\(709\) 29.2194 1.09736 0.548679 0.836033i \(-0.315131\pi\)
0.548679 + 0.836033i \(0.315131\pi\)
\(710\) 1.93545 + 0.210493i 0.0726363 + 0.00789967i
\(711\) −1.88904 + 2.22395i −0.0708444 + 0.0834045i
\(712\) −21.9283 4.82678i −0.821797 0.180891i
\(713\) 0.600625 + 0.456583i 0.0224936 + 0.0170992i
\(714\) 3.34903 3.17237i 0.125334 0.118723i
\(715\) −0.855678 + 2.14759i −0.0320005 + 0.0803153i
\(716\) 26.4131 + 8.89961i 0.987104 + 0.332594i
\(717\) 3.21147 + 19.5891i 0.119934 + 0.731567i
\(718\) −9.89605 9.37403i −0.369317 0.349836i
\(719\) −14.6753 + 6.78951i −0.547296 + 0.253206i −0.673996 0.738735i \(-0.735424\pi\)
0.126700 + 0.991941i \(0.459561\pi\)
\(720\) −0.111229 + 0.0845538i −0.00414525 + 0.00315114i
\(721\) 7.58920 46.2921i 0.282637 1.72401i
\(722\) −1.91083 + 3.60421i −0.0711138 + 0.134135i
\(723\) 2.12250 0.467197i 0.0789365 0.0173752i
\(724\) −1.17654 0.544325i −0.0437258 0.0202297i
\(725\) 1.28389 + 3.22231i 0.0476823 + 0.119674i
\(726\) −0.0633381 1.16820i −0.00235070 0.0433561i
\(727\) 8.42792 + 12.4303i 0.312574 + 0.461013i 0.951231 0.308479i \(-0.0998200\pi\)
−0.638657 + 0.769492i \(0.720510\pi\)
\(728\) −21.7418 25.5964i −0.805805 0.948667i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) −1.11889 + 0.376999i −0.0414121 + 0.0139534i
\(731\) −0.734209 + 13.5417i −0.0271557 + 0.500857i
\(732\) −8.84665 + 5.32285i −0.326982 + 0.196738i
\(733\) −7.99119 28.7817i −0.295161 1.06307i −0.951258 0.308398i \(-0.900207\pi\)
0.656096 0.754677i \(-0.272206\pi\)
\(734\) 1.35026 4.86319i 0.0498390 0.179504i
\(735\) −0.445521 0.268061i −0.0164333 0.00988758i
\(736\) 4.73521 6.98391i 0.174542 0.257430i
\(737\) 53.7070 5.84099i 1.97832 0.215156i
\(738\) −3.35685 + 0.365079i −0.123567 + 0.0134388i
\(739\) 1.97078 2.90668i 0.0724963 0.106924i −0.789712 0.613477i \(-0.789770\pi\)
0.862209 + 0.506553i \(0.169081\pi\)
\(740\) −0.322010 0.193747i −0.0118373 0.00712227i
\(741\) 3.98903 14.3672i 0.146541 0.527791i
\(742\) −4.90251 17.6573i −0.179977 0.648218i
\(743\) −19.5467 + 11.7608i −0.717098 + 0.431464i −0.826796 0.562501i \(-0.809839\pi\)
0.109698 + 0.993965i \(0.465012\pi\)
\(744\) −0.0738381 + 1.36186i −0.00270704 + 0.0499284i
\(745\) 2.65940 0.896057i 0.0974330 0.0328290i
\(746\) −2.40785 4.54168i −0.0881575 0.166283i
\(747\) −9.08500 10.6957i −0.332403 0.391335i
\(748\) −5.36090 7.90673i −0.196014 0.289099i
\(749\) 3.54463 + 65.3769i 0.129518 + 2.38882i
\(750\) 0.453960 + 1.13935i 0.0165763 + 0.0416033i
\(751\) −17.0951 7.90905i −0.623810 0.288605i 0.0824092 0.996599i \(-0.473739\pi\)
−0.706219 + 0.707993i \(0.749601\pi\)
\(752\) 4.64769 1.02303i 0.169484 0.0373062i
\(753\) −3.66396 + 6.91097i −0.133522 + 0.251850i
\(754\) 0.346471 2.11338i 0.0126177 0.0769649i
\(755\) 1.93973 1.47455i 0.0705941 0.0536642i
\(756\) −4.12377 + 1.90786i −0.149980 + 0.0693882i
\(757\) −19.0506 18.0457i −0.692406 0.655881i 0.258268 0.966073i \(-0.416848\pi\)
−0.950674 + 0.310192i \(0.899607\pi\)
\(758\) −0.875210 5.33854i −0.0317890 0.193905i
\(759\) −4.83038 1.62754i −0.175332 0.0590761i
\(760\) −0.575079 + 1.44334i −0.0208603 + 0.0523555i
\(761\) −35.0241 + 33.1766i −1.26962 + 1.20265i −0.301138 + 0.953581i \(0.597366\pi\)
−0.968485 + 0.249071i \(0.919875\pi\)
\(762\) 11.6189 + 8.83243i 0.420907 + 0.319965i
\(763\) −37.4725 8.24832i −1.35660 0.298609i
\(764\) −0.115294 + 0.135735i −0.00417120 + 0.00491072i
\(765\) −0.305039 0.0331750i −0.0110287 0.00119945i
\(766\) 20.5413 0.742186
\(767\) −2.23028 + 30.9352i −0.0805308 + 1.11700i
\(768\) 12.7964 0.461750
\(769\) 29.2209 + 3.17796i 1.05373 + 0.114600i 0.618553 0.785743i \(-0.287719\pi\)
0.435180 + 0.900344i \(0.356685\pi\)
\(770\) 0.900967 1.06070i 0.0324686 0.0382250i
\(771\) −12.2076 2.68709i −0.439645 0.0967733i
\(772\) −28.8986 21.9681i −1.04008