Properties

Label 165.2.r.a.29.7
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.7
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.413334 + 0.568905i) q^{2} +(-1.53256 - 0.807004i) q^{3} +(0.465226 + 1.43182i) q^{4} +(1.55748 - 1.60445i) q^{5} +(1.09257 - 0.538320i) q^{6} +(0.615368 + 1.89391i) q^{7} +(-2.34444 - 0.761754i) q^{8} +(1.69749 + 2.47357i) q^{9} +O(q^{10})\) \(q+(-0.413334 + 0.568905i) q^{2} +(-1.53256 - 0.807004i) q^{3} +(0.465226 + 1.43182i) q^{4} +(1.55748 - 1.60445i) q^{5} +(1.09257 - 0.538320i) q^{6} +(0.615368 + 1.89391i) q^{7} +(-2.34444 - 0.761754i) q^{8} +(1.69749 + 2.47357i) q^{9} +(0.269018 + 1.54923i) q^{10} +(3.26241 - 0.597209i) q^{11} +(0.442496 - 2.56979i) q^{12} +(3.43403 + 2.49497i) q^{13} +(-1.33181 - 0.432730i) q^{14} +(-3.68173 + 1.20202i) q^{15} +(-1.03355 + 0.750920i) q^{16} +(2.51291 + 3.45873i) q^{17} +(-2.10885 - 0.0566991i) q^{18} +(0.257486 + 0.0836623i) q^{19} +(3.02186 + 1.48360i) q^{20} +(0.585303 - 3.39914i) q^{21} +(-1.00871 + 2.10285i) q^{22} -4.30856 q^{23} +(2.97826 + 3.05941i) q^{24} +(-0.148502 - 4.99779i) q^{25} +(-2.83880 + 0.922383i) q^{26} +(-0.605325 - 5.16077i) q^{27} +(-2.42545 + 1.76219i) q^{28} +(-2.26468 - 6.96997i) q^{29} +(0.837949 - 2.59139i) q^{30} +(-5.24479 - 3.81056i) q^{31} -5.82855i q^{32} +(-5.48180 - 1.71752i) q^{33} -3.00636 q^{34} +(3.99710 + 1.96240i) q^{35} +(-2.75198 + 3.58126i) q^{36} +(5.66863 - 1.84185i) q^{37} +(-0.154024 + 0.111905i) q^{38} +(-3.24941 - 6.59498i) q^{39} +(-4.87361 + 2.57511i) q^{40} +(-2.95108 + 9.08248i) q^{41} +(1.69186 + 1.73796i) q^{42} -1.68949 q^{43} +(2.37285 + 4.39334i) q^{44} +(6.61251 + 1.12901i) q^{45} +(1.78087 - 2.45116i) q^{46} +(-0.0723398 + 0.222639i) q^{47} +(2.18998 - 0.316750i) q^{48} +(2.45491 - 1.78359i) q^{49} +(2.90465 + 1.98127i) q^{50} +(-1.05998 - 7.32864i) q^{51} +(-1.97474 + 6.07763i) q^{52} +(-5.61095 - 4.07659i) q^{53} +(3.18619 + 1.78875i) q^{54} +(4.12296 - 6.16451i) q^{55} -4.90891i q^{56} +(-0.327097 - 0.336010i) q^{57} +(4.90132 + 1.59253i) q^{58} +(-10.0360 + 3.26089i) q^{59} +(-3.43391 - 4.71236i) q^{60} +(5.68030 + 7.81826i) q^{61} +(4.33570 - 1.40875i) q^{62} +(-3.64013 + 4.73704i) q^{63} +(1.24878 + 0.907295i) q^{64} +(9.35149 - 1.62385i) q^{65} +(3.24292 - 2.40871i) q^{66} -0.901700i q^{67} +(-3.78319 + 5.20712i) q^{68} +(6.60313 + 3.47703i) q^{69} +(-2.76856 + 1.46284i) q^{70} +(0.309146 + 0.425503i) q^{71} +(-2.09541 - 7.09219i) q^{72} +(-3.18366 - 9.79830i) q^{73} +(-1.29520 + 3.98621i) q^{74} +(-3.80565 + 7.77927i) q^{75} +0.407595i q^{76} +(3.13864 + 5.81121i) q^{77} +(5.09501 + 0.877318i) q^{78} +(0.132574 - 0.182473i) q^{79} +(-0.404928 + 2.82783i) q^{80} +(-3.23707 + 8.39770i) q^{81} +(-3.94729 - 5.43298i) q^{82} +(1.18199 + 1.62687i) q^{83} +(5.13924 - 0.743318i) q^{84} +(9.46316 + 1.35507i) q^{85} +(0.698323 - 0.961159i) q^{86} +(-2.15403 + 12.5095i) q^{87} +(-8.10345 - 1.08504i) q^{88} -15.8563i q^{89} +(-3.37547 + 3.29524i) q^{90} +(-2.61205 + 8.03907i) q^{91} +(-2.00445 - 6.16907i) q^{92} +(4.96282 + 10.0725i) q^{93} +(-0.0967600 - 0.133179i) q^{94} +(0.535262 - 0.282820i) q^{95} +(-4.70366 + 8.93261i) q^{96} +(-1.94083 + 2.67133i) q^{97} +2.13383i q^{98} +(7.01514 + 7.05604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.413334 + 0.568905i −0.292271 + 0.402277i −0.929750 0.368191i \(-0.879977\pi\)
0.637479 + 0.770468i \(0.279977\pi\)
\(3\) −1.53256 0.807004i −0.884825 0.465924i
\(4\) 0.465226 + 1.43182i 0.232613 + 0.715909i
\(5\) 1.55748 1.60445i 0.696527 0.717531i
\(6\) 1.09257 0.538320i 0.446039 0.219768i
\(7\) 0.615368 + 1.89391i 0.232587 + 0.715830i 0.997432 + 0.0716158i \(0.0228155\pi\)
−0.764845 + 0.644214i \(0.777184\pi\)
\(8\) −2.34444 0.761754i −0.828884 0.269321i
\(9\) 1.69749 + 2.47357i 0.565829 + 0.824522i
\(10\) 0.269018 + 1.54923i 0.0850711 + 0.489910i
\(11\) 3.26241 0.597209i 0.983655 0.180065i
\(12\) 0.442496 2.56979i 0.127738 0.741834i
\(13\) 3.43403 + 2.49497i 0.952429 + 0.691980i 0.951380 0.308019i \(-0.0996660\pi\)
0.00104920 + 0.999999i \(0.499666\pi\)
\(14\) −1.33181 0.432730i −0.355940 0.115652i
\(15\) −3.68173 + 1.20202i −0.950619 + 0.310360i
\(16\) −1.03355 + 0.750920i −0.258388 + 0.187730i
\(17\) 2.51291 + 3.45873i 0.609471 + 0.838864i 0.996534 0.0831888i \(-0.0265105\pi\)
−0.387063 + 0.922053i \(0.626510\pi\)
\(18\) −2.10885 0.0566991i −0.497062 0.0133641i
\(19\) 0.257486 + 0.0836623i 0.0590714 + 0.0191935i 0.338404 0.941001i \(-0.390113\pi\)
−0.279332 + 0.960195i \(0.590113\pi\)
\(20\) 3.02186 + 1.48360i 0.675708 + 0.331743i
\(21\) 0.585303 3.39914i 0.127724 0.741752i
\(22\) −1.00871 + 2.10285i −0.215058 + 0.448329i
\(23\) −4.30856 −0.898397 −0.449198 0.893432i \(-0.648290\pi\)
−0.449198 + 0.893432i \(0.648290\pi\)
\(24\) 2.97826 + 3.05941i 0.607934 + 0.624499i
\(25\) −0.148502 4.99779i −0.0297003 0.999559i
\(26\) −2.83880 + 0.922383i −0.556735 + 0.180894i
\(27\) −0.605325 5.16077i −0.116495 0.993191i
\(28\) −2.42545 + 1.76219i −0.458366 + 0.333023i
\(29\) −2.26468 6.96997i −0.420540 1.29429i −0.907200 0.420699i \(-0.861785\pi\)
0.486660 0.873591i \(-0.338215\pi\)
\(30\) 0.837949 2.59139i 0.152988 0.473121i
\(31\) −5.24479 3.81056i −0.941992 0.684397i 0.00690742 0.999976i \(-0.497801\pi\)
−0.948899 + 0.315579i \(0.897801\pi\)
\(32\) 5.82855i 1.03035i
\(33\) −5.48180 1.71752i −0.954259 0.298982i
\(34\) −3.00636 −0.515586
\(35\) 3.99710 + 1.96240i 0.675633 + 0.331707i
\(36\) −2.75198 + 3.58126i −0.458664 + 0.596877i
\(37\) 5.66863 1.84185i 0.931917 0.302798i 0.196571 0.980490i \(-0.437020\pi\)
0.735346 + 0.677692i \(0.237020\pi\)
\(38\) −0.154024 + 0.111905i −0.0249859 + 0.0181533i
\(39\) −3.24941 6.59498i −0.520323 1.05604i
\(40\) −4.87361 + 2.57511i −0.770586 + 0.407160i
\(41\) −2.95108 + 9.08248i −0.460881 + 1.41844i 0.403210 + 0.915108i \(0.367895\pi\)
−0.864090 + 0.503337i \(0.832105\pi\)
\(42\) 1.69186 + 1.73796i 0.261060 + 0.268173i
\(43\) −1.68949 −0.257645 −0.128822 0.991668i \(-0.541120\pi\)
−0.128822 + 0.991668i \(0.541120\pi\)
\(44\) 2.37285 + 4.39334i 0.357721 + 0.662322i
\(45\) 6.61251 + 1.12901i 0.985735 + 0.168302i
\(46\) 1.78087 2.45116i 0.262575 0.361404i
\(47\) −0.0723398 + 0.222639i −0.0105518 + 0.0324752i −0.956194 0.292734i \(-0.905435\pi\)
0.945642 + 0.325210i \(0.105435\pi\)
\(48\) 2.18998 0.316750i 0.316096 0.0457189i
\(49\) 2.45491 1.78359i 0.350701 0.254799i
\(50\) 2.90465 + 1.98127i 0.410780 + 0.280194i
\(51\) −1.05998 7.32864i −0.148427 1.02622i
\(52\) −1.97474 + 6.07763i −0.273848 + 0.842816i
\(53\) −5.61095 4.07659i −0.770723 0.559963i 0.131458 0.991322i \(-0.458034\pi\)
−0.902180 + 0.431359i \(0.858034\pi\)
\(54\) 3.18619 + 1.78875i 0.433586 + 0.243418i
\(55\) 4.12296 6.16451i 0.555940 0.831223i
\(56\) 4.90891i 0.655981i
\(57\) −0.327097 0.336010i −0.0433251 0.0445056i
\(58\) 4.90132 + 1.59253i 0.643574 + 0.209110i
\(59\) −10.0360 + 3.26089i −1.30657 + 0.424531i −0.877864 0.478911i \(-0.841032\pi\)
−0.428710 + 0.903442i \(0.641032\pi\)
\(60\) −3.43391 4.71236i −0.443316 0.608363i
\(61\) 5.68030 + 7.81826i 0.727288 + 1.00103i 0.999250 + 0.0387180i \(0.0123274\pi\)
−0.271962 + 0.962308i \(0.587673\pi\)
\(62\) 4.33570 1.40875i 0.550634 0.178912i
\(63\) −3.64013 + 4.73704i −0.458613 + 0.596811i
\(64\) 1.24878 + 0.907295i 0.156098 + 0.113412i
\(65\) 9.35149 1.62385i 1.15991 0.201414i
\(66\) 3.24292 2.40871i 0.399176 0.296492i
\(67\) 0.901700i 0.110160i −0.998482 0.0550801i \(-0.982459\pi\)
0.998482 0.0550801i \(-0.0175414\pi\)
\(68\) −3.78319 + 5.20712i −0.458780 + 0.631456i
\(69\) 6.60313 + 3.47703i 0.794924 + 0.418585i
\(70\) −2.76856 + 1.46284i −0.330906 + 0.174843i
\(71\) 0.309146 + 0.425503i 0.0366889 + 0.0504979i 0.826967 0.562250i \(-0.190064\pi\)
−0.790278 + 0.612748i \(0.790064\pi\)
\(72\) −2.09541 7.09219i −0.246946 0.835823i
\(73\) −3.18366 9.79830i −0.372619 1.14680i −0.945071 0.326866i \(-0.894008\pi\)
0.572451 0.819939i \(-0.305992\pi\)
\(74\) −1.29520 + 3.98621i −0.150564 + 0.463387i
\(75\) −3.80565 + 7.77927i −0.439439 + 0.898272i
\(76\) 0.407595i 0.0467544i
\(77\) 3.13864 + 5.81121i 0.357682 + 0.662249i
\(78\) 5.09501 + 0.877318i 0.576896 + 0.0993367i
\(79\) 0.132574 0.182473i 0.0149158 0.0205298i −0.801494 0.598003i \(-0.795961\pi\)
0.816410 + 0.577473i \(0.195961\pi\)
\(80\) −0.404928 + 2.82783i −0.0452723 + 0.316161i
\(81\) −3.23707 + 8.39770i −0.359674 + 0.933078i
\(82\) −3.94729 5.43298i −0.435905 0.599972i
\(83\) 1.18199 + 1.62687i 0.129740 + 0.178572i 0.868945 0.494909i \(-0.164799\pi\)
−0.739205 + 0.673480i \(0.764799\pi\)
\(84\) 5.13924 0.743318i 0.560737 0.0811027i
\(85\) 9.46316 + 1.35507i 1.02642 + 0.146978i
\(86\) 0.698323 0.961159i 0.0753021 0.103644i
\(87\) −2.15403 + 12.5095i −0.230937 + 1.34116i
\(88\) −8.10345 1.08504i −0.863831 0.115665i
\(89\) 15.8563i 1.68076i −0.541995 0.840382i \(-0.682331\pi\)
0.541995 0.840382i \(-0.317669\pi\)
\(90\) −3.37547 + 3.29524i −0.355806 + 0.347348i
\(91\) −2.61205 + 8.03907i −0.273817 + 0.842724i
\(92\) −2.00445 6.16907i −0.208979 0.643170i
\(93\) 4.96282 + 10.0725i 0.514620 + 1.04447i
\(94\) −0.0967600 0.133179i −0.00998003 0.0137363i
\(95\) 0.535262 0.282820i 0.0549167 0.0290168i
\(96\) −4.70366 + 8.93261i −0.480066 + 0.911681i
\(97\) −1.94083 + 2.67133i −0.197062 + 0.271232i −0.896100 0.443852i \(-0.853612\pi\)
0.699038 + 0.715084i \(0.253612\pi\)
\(98\) 2.13383i 0.215549i
\(99\) 7.01514 + 7.05604i 0.705049 + 0.709159i
\(100\) 7.08684 2.53773i 0.708684 0.253773i
\(101\) 1.38290 + 1.00474i 0.137604 + 0.0999752i 0.654458 0.756098i \(-0.272897\pi\)
−0.516854 + 0.856074i \(0.672897\pi\)
\(102\) 4.60743 + 2.42614i 0.456203 + 0.240224i
\(103\) −5.63920 + 1.83229i −0.555647 + 0.180541i −0.573361 0.819303i \(-0.694361\pi\)
0.0177148 + 0.999843i \(0.494361\pi\)
\(104\) −6.15032 8.46519i −0.603089 0.830080i
\(105\) −4.54214 6.23318i −0.443267 0.608296i
\(106\) 4.63839 1.50710i 0.450520 0.146383i
\(107\) 3.00951 + 0.977849i 0.290940 + 0.0945322i 0.450851 0.892599i \(-0.351121\pi\)
−0.159911 + 0.987131i \(0.551121\pi\)
\(108\) 7.10767 3.26764i 0.683936 0.314429i
\(109\) 3.60358i 0.345160i −0.984996 0.172580i \(-0.944790\pi\)
0.984996 0.172580i \(-0.0552103\pi\)
\(110\) 1.80286 + 4.89357i 0.171896 + 0.466584i
\(111\) −10.1739 1.75186i −0.965664 0.166279i
\(112\) −2.05819 1.49536i −0.194481 0.141298i
\(113\) 2.37599 7.31255i 0.223515 0.687907i −0.774924 0.632054i \(-0.782212\pi\)
0.998439 0.0558532i \(-0.0177879\pi\)
\(114\) 0.326358 0.0472031i 0.0305662 0.00442098i
\(115\) −6.71050 + 6.91286i −0.625758 + 0.644627i
\(116\) 8.92613 6.48522i 0.828771 0.602137i
\(117\) −0.342248 + 12.7295i −0.0316409 + 1.17684i
\(118\) 2.29307 7.05735i 0.211095 0.649682i
\(119\) −5.00415 + 6.88762i −0.458729 + 0.631387i
\(120\) 9.54723 0.0134851i 0.871539 0.00123101i
\(121\) 10.2867 3.89669i 0.935153 0.354244i
\(122\) −6.79571 −0.615254
\(123\) 11.8523 11.5379i 1.06869 1.04034i
\(124\) 3.01602 9.28235i 0.270847 0.833580i
\(125\) −8.24999 7.54571i −0.737901 0.674909i
\(126\) −1.19034 4.02887i −0.106044 0.358920i
\(127\) 8.13967 5.91381i 0.722279 0.524766i −0.164833 0.986322i \(-0.552708\pi\)
0.887111 + 0.461555i \(0.152708\pi\)
\(128\) 10.0542 3.26682i 0.888677 0.288749i
\(129\) 2.58925 + 1.36342i 0.227970 + 0.120043i
\(130\) −2.94147 + 5.99130i −0.257984 + 0.525472i
\(131\) 15.8485 1.38469 0.692345 0.721567i \(-0.256578\pi\)
0.692345 + 0.721567i \(0.256578\pi\)
\(132\) −0.0910953 8.64797i −0.00792883 0.752709i
\(133\) 0.539138i 0.0467492i
\(134\) 0.512982 + 0.372703i 0.0443149 + 0.0321966i
\(135\) −9.22297 7.06660i −0.793787 0.608196i
\(136\) −3.25667 10.0230i −0.279257 0.859464i
\(137\) −10.2568 + 7.45199i −0.876296 + 0.636667i −0.932269 0.361766i \(-0.882174\pi\)
0.0559727 + 0.998432i \(0.482174\pi\)
\(138\) −4.70739 + 2.31938i −0.400720 + 0.197439i
\(139\) −14.4997 + 4.71125i −1.22985 + 0.399603i −0.850661 0.525715i \(-0.823798\pi\)
−0.379192 + 0.925318i \(0.623798\pi\)
\(140\) −0.950248 + 6.63608i −0.0803106 + 0.560851i
\(141\) 0.290536 0.282829i 0.0244675 0.0238185i
\(142\) −0.369851 −0.0310372
\(143\) 12.6933 + 6.08879i 1.06146 + 0.509170i
\(144\) −3.61190 1.28188i −0.300991 0.106824i
\(145\) −14.7101 7.22204i −1.22161 0.599757i
\(146\) 6.89022 + 2.23877i 0.570238 + 0.185282i
\(147\) −5.20166 + 0.752347i −0.429026 + 0.0620526i
\(148\) 5.27438 + 7.25957i 0.433552 + 0.596733i
\(149\) −7.06258 + 5.13126i −0.578589 + 0.420370i −0.838215 0.545340i \(-0.816401\pi\)
0.259626 + 0.965709i \(0.416401\pi\)
\(150\) −2.85266 5.38049i −0.232919 0.439315i
\(151\) −17.9932 5.84634i −1.46426 0.475768i −0.534895 0.844919i \(-0.679649\pi\)
−0.929370 + 0.369150i \(0.879649\pi\)
\(152\) −0.539930 0.392282i −0.0437941 0.0318183i
\(153\) −4.28975 + 12.0870i −0.346806 + 0.977176i
\(154\) −4.60333 0.616378i −0.370947 0.0496691i
\(155\) −14.2825 + 2.48011i −1.14720 + 0.199207i
\(156\) 7.93109 7.72072i 0.634996 0.618152i
\(157\) −13.5930 4.41663i −1.08484 0.352486i −0.288589 0.957453i \(-0.593186\pi\)
−0.796250 + 0.604968i \(0.793186\pi\)
\(158\) 0.0490124 + 0.150845i 0.00389921 + 0.0120005i
\(159\) 5.30929 + 10.7757i 0.421054 + 0.854567i
\(160\) −9.35160 9.07786i −0.739309 0.717668i
\(161\) −2.65135 8.16002i −0.208956 0.643100i
\(162\) −3.43951 5.31264i −0.270233 0.417400i
\(163\) 13.2562 18.2456i 1.03831 1.42910i 0.139780 0.990183i \(-0.455360\pi\)
0.898525 0.438922i \(-0.144640\pi\)
\(164\) −14.3774 −1.12268
\(165\) −11.2935 + 6.12025i −0.879196 + 0.476461i
\(166\) −1.41409 −0.109754
\(167\) −3.15252 + 4.33906i −0.243949 + 0.335767i −0.913381 0.407107i \(-0.866538\pi\)
0.669432 + 0.742874i \(0.266538\pi\)
\(168\) −3.96151 + 7.52321i −0.305637 + 0.580428i
\(169\) 1.55048 + 4.77189i 0.119268 + 0.367069i
\(170\) −4.68235 + 4.82354i −0.359120 + 0.369949i
\(171\) 0.230135 + 0.778925i 0.0175989 + 0.0595659i
\(172\) −0.785994 2.41904i −0.0599315 0.184450i
\(173\) 15.5063 + 5.03829i 1.17892 + 0.383054i 0.831965 0.554828i \(-0.187216\pi\)
0.346954 + 0.937882i \(0.387216\pi\)
\(174\) −6.22639 6.39604i −0.472021 0.484883i
\(175\) 9.37398 3.35673i 0.708606 0.253745i
\(176\) −2.92342 + 3.06706i −0.220361 + 0.231188i
\(177\) 18.0123 + 3.10157i 1.35389 + 0.233128i
\(178\) 9.02072 + 6.55394i 0.676132 + 0.491239i
\(179\) −0.255080 0.0828804i −0.0190655 0.00619477i 0.299469 0.954106i \(-0.403191\pi\)
−0.318534 + 0.947911i \(0.603191\pi\)
\(180\) 1.45978 + 9.99316i 0.108806 + 0.744846i
\(181\) −0.172984 + 0.125680i −0.0128578 + 0.00934174i −0.594196 0.804321i \(-0.702529\pi\)
0.581338 + 0.813662i \(0.302529\pi\)
\(182\) −3.49382 4.80883i −0.258979 0.356454i
\(183\) −2.39604 16.5660i −0.177120 1.22459i
\(184\) 10.1012 + 3.28206i 0.744667 + 0.241957i
\(185\) 5.87364 11.9637i 0.431838 0.879586i
\(186\) −7.78159 1.33993i −0.570574 0.0982481i
\(187\) 10.2637 + 9.78306i 0.750559 + 0.715408i
\(188\) −0.352433 −0.0257038
\(189\) 9.40153 4.32221i 0.683861 0.314394i
\(190\) −0.0603438 + 0.421412i −0.00437780 + 0.0305725i
\(191\) −3.78974 + 1.23136i −0.274216 + 0.0890981i −0.442897 0.896573i \(-0.646049\pi\)
0.168681 + 0.985671i \(0.446049\pi\)
\(192\) −1.18165 2.39826i −0.0852781 0.173080i
\(193\) −13.1028 + 9.51974i −0.943160 + 0.685246i −0.949179 0.314736i \(-0.898084\pi\)
0.00601903 + 0.999982i \(0.498084\pi\)
\(194\) −0.717520 2.20830i −0.0515149 0.158547i
\(195\) −15.6422 5.05804i −1.12016 0.362214i
\(196\) 3.69587 + 2.68521i 0.263991 + 0.191800i
\(197\) 5.69572i 0.405803i −0.979199 0.202902i \(-0.934963\pi\)
0.979199 0.202902i \(-0.0650371\pi\)
\(198\) −6.91381 + 1.07445i −0.491343 + 0.0763579i
\(199\) 12.2362 0.867398 0.433699 0.901058i \(-0.357208\pi\)
0.433699 + 0.901058i \(0.357208\pi\)
\(200\) −3.45894 + 11.8301i −0.244584 + 0.836517i
\(201\) −0.727676 + 1.38191i −0.0513263 + 0.0974724i
\(202\) −1.14320 + 0.371449i −0.0804354 + 0.0261350i
\(203\) 11.8069 8.57819i 0.828680 0.602071i
\(204\) 10.0001 4.92718i 0.700150 0.344971i
\(205\) 9.97611 + 18.8806i 0.696762 + 1.31868i
\(206\) 1.28847 3.96551i 0.0897722 0.276290i
\(207\) −7.31373 10.6575i −0.508339 0.740748i
\(208\) −5.42278 −0.376002
\(209\) 0.889990 + 0.119168i 0.0615619 + 0.00824303i
\(210\) 5.42350 0.00766047i 0.374257 0.000528623i
\(211\) −2.15988 + 2.97283i −0.148693 + 0.204658i −0.876866 0.480736i \(-0.840370\pi\)
0.728173 + 0.685393i \(0.240370\pi\)
\(212\) 3.22658 9.93039i 0.221602 0.682022i
\(213\) −0.130402 0.901591i −0.00893502 0.0617760i
\(214\) −1.80023 + 1.30795i −0.123061 + 0.0894094i
\(215\) −2.63135 + 2.71070i −0.179456 + 0.184868i
\(216\) −2.51209 + 12.5602i −0.170926 + 0.854615i
\(217\) 3.98938 12.2780i 0.270817 0.833488i
\(218\) 2.05009 + 1.48948i 0.138850 + 0.100880i
\(219\) −3.02812 + 17.5857i −0.204621 + 1.18833i
\(220\) 10.7446 + 3.03544i 0.724398 + 0.204649i
\(221\) 18.1470i 1.22070i
\(222\) 5.20186 5.06388i 0.349126 0.339865i
\(223\) 15.0251 + 4.88195i 1.00616 + 0.326920i 0.765323 0.643647i \(-0.222579\pi\)
0.240833 + 0.970567i \(0.422579\pi\)
\(224\) 11.0387 3.58670i 0.737557 0.239647i
\(225\) 12.1103 8.85102i 0.807353 0.590068i
\(226\) 3.17807 + 4.37424i 0.211402 + 0.290970i
\(227\) 1.32797 0.431484i 0.0881405 0.0286386i −0.264615 0.964354i \(-0.585245\pi\)
0.352755 + 0.935716i \(0.385245\pi\)
\(228\) 0.328931 0.624665i 0.0217840 0.0413694i
\(229\) 8.52126 + 6.19106i 0.563101 + 0.409117i 0.832593 0.553886i \(-0.186856\pi\)
−0.269492 + 0.963003i \(0.586856\pi\)
\(230\) −1.15908 6.67496i −0.0764276 0.440134i
\(231\) −0.120495 11.4389i −0.00792796 0.752627i
\(232\) 18.0658i 1.18608i
\(233\) −9.20055 + 12.6635i −0.602748 + 0.829611i −0.995956 0.0898380i \(-0.971365\pi\)
0.393208 + 0.919449i \(0.371365\pi\)
\(234\) −7.10041 5.45624i −0.464168 0.356685i
\(235\) 0.244545 + 0.462822i 0.0159523 + 0.0301912i
\(236\) −9.33799 12.8526i −0.607852 0.836636i
\(237\) −0.350435 + 0.172663i −0.0227632 + 0.0112157i
\(238\) −1.85002 5.69377i −0.119919 0.369072i
\(239\) 5.67665 17.4709i 0.367192 1.13010i −0.581405 0.813614i \(-0.697497\pi\)
0.948597 0.316487i \(-0.102503\pi\)
\(240\) 2.90264 4.00704i 0.187365 0.258653i
\(241\) 1.75403i 0.112987i 0.998403 + 0.0564935i \(0.0179920\pi\)
−0.998403 + 0.0564935i \(0.982008\pi\)
\(242\) −2.03499 + 7.46278i −0.130814 + 0.479725i
\(243\) 11.7380 10.2577i 0.752992 0.658029i
\(244\) −8.55170 + 11.7704i −0.547467 + 0.753523i
\(245\) 0.961790 6.71669i 0.0614465 0.429113i
\(246\) 1.66503 + 11.5118i 0.106158 + 0.733969i
\(247\) 0.675481 + 0.929720i 0.0429798 + 0.0591567i
\(248\) 9.39337 + 12.9289i 0.596480 + 0.820984i
\(249\) −0.498580 3.44714i −0.0315962 0.218454i
\(250\) 7.70279 1.57456i 0.487167 0.0995840i
\(251\) −6.58509 + 9.06359i −0.415647 + 0.572089i −0.964584 0.263775i \(-0.915033\pi\)
0.548937 + 0.835863i \(0.315033\pi\)
\(252\) −8.47606 3.00821i −0.533942 0.189499i
\(253\) −14.0563 + 2.57311i −0.883712 + 0.161770i
\(254\) 7.07508i 0.443930i
\(255\) −13.4093 9.71354i −0.839724 0.608285i
\(256\) −3.25123 + 10.0063i −0.203202 + 0.625391i
\(257\) 1.92104 + 5.91235i 0.119831 + 0.368802i 0.992924 0.118752i \(-0.0378893\pi\)
−0.873093 + 0.487554i \(0.837889\pi\)
\(258\) −1.84588 + 0.909485i −0.114920 + 0.0566221i
\(259\) 6.97659 + 9.60245i 0.433504 + 0.596667i
\(260\) 6.67562 + 12.6342i 0.414004 + 0.783538i
\(261\) 13.3964 17.4333i 0.829217 1.07909i
\(262\) −6.55072 + 9.01629i −0.404705 + 0.557028i
\(263\) 24.0702i 1.48423i −0.670272 0.742116i \(-0.733822\pi\)
0.670272 0.742116i \(-0.266178\pi\)
\(264\) 11.5434 + 8.20241i 0.710448 + 0.504823i
\(265\) −15.2796 + 2.65325i −0.938620 + 0.162988i
\(266\) −0.306719 0.222844i −0.0188061 0.0136634i
\(267\) −12.7961 + 24.3007i −0.783108 + 1.48718i
\(268\) 1.29107 0.419494i 0.0788647 0.0256247i
\(269\) 14.8417 + 20.4278i 0.904912 + 1.24550i 0.968875 + 0.247552i \(0.0796262\pi\)
−0.0639625 + 0.997952i \(0.520374\pi\)
\(270\) 7.83239 2.32613i 0.476664 0.141564i
\(271\) 21.3742 6.94489i 1.29839 0.421872i 0.423368 0.905958i \(-0.360848\pi\)
0.875020 + 0.484086i \(0.160848\pi\)
\(272\) −5.19446 1.68778i −0.314960 0.102337i
\(273\) 10.4907 10.2124i 0.634926 0.618084i
\(274\) 8.91530i 0.538593i
\(275\) −3.46920 16.2162i −0.209201 0.977873i
\(276\) −1.90652 + 11.0721i −0.114759 + 0.666461i
\(277\) −7.91369 5.74963i −0.475488 0.345462i 0.324088 0.946027i \(-0.394942\pi\)
−0.799576 + 0.600565i \(0.794942\pi\)
\(278\) 3.31298 10.1963i 0.198699 0.611533i
\(279\) 0.522715 19.4417i 0.0312941 1.16395i
\(280\) −7.87609 7.64554i −0.470686 0.456908i
\(281\) −11.0817 + 8.05131i −0.661078 + 0.480301i −0.867027 0.498262i \(-0.833972\pi\)
0.205949 + 0.978563i \(0.433972\pi\)
\(282\) 0.0408148 + 0.282190i 0.00243049 + 0.0168042i
\(283\) −9.22512 + 28.3920i −0.548376 + 1.68773i 0.164448 + 0.986386i \(0.447416\pi\)
−0.712824 + 0.701343i \(0.752584\pi\)
\(284\) −0.465420 + 0.640595i −0.0276176 + 0.0380123i
\(285\) −1.04856 + 0.00148105i −0.0621113 + 8.77296e-5i
\(286\) −8.71049 + 4.70455i −0.515062 + 0.278186i
\(287\) −19.0174 −1.12256
\(288\) 14.4173 9.89389i 0.849548 0.583003i
\(289\) −0.394774 + 1.21499i −0.0232220 + 0.0714700i
\(290\) 10.1888 5.38356i 0.598310 0.316134i
\(291\) 5.13022 2.52771i 0.300739 0.148177i
\(292\) 12.5483 9.11684i 0.734331 0.533523i
\(293\) −23.2050 + 7.53977i −1.35565 + 0.440478i −0.894589 0.446889i \(-0.852532\pi\)
−0.461063 + 0.887367i \(0.652532\pi\)
\(294\) 1.72201 3.27022i 0.100430 0.190723i
\(295\) −10.3989 + 21.1810i −0.605449 + 1.23320i
\(296\) −14.6928 −0.854001
\(297\) −5.05688 16.4751i −0.293430 0.955981i
\(298\) 6.13886i 0.355615i
\(299\) −14.7957 10.7497i −0.855660 0.621673i
\(300\) −12.9090 1.82989i −0.745300 0.105649i
\(301\) −1.03966 3.19974i −0.0599249 0.184430i
\(302\) 10.7632 7.81992i 0.619353 0.449986i
\(303\) −1.30856 2.65583i −0.0751746 0.152574i
\(304\) −0.328949 + 0.106882i −0.0188665 + 0.00613011i
\(305\) 21.3910 + 3.06306i 1.22484 + 0.175390i
\(306\) −5.10326 7.43643i −0.291734 0.425112i
\(307\) 7.28242 0.415630 0.207815 0.978168i \(-0.433365\pi\)
0.207815 + 0.978168i \(0.433365\pi\)
\(308\) −6.86041 + 7.19749i −0.390908 + 0.410115i
\(309\) 10.1211 + 1.74277i 0.575768 + 0.0991425i
\(310\) 4.49250 9.15050i 0.255157 0.519714i
\(311\) 2.25383 + 0.732315i 0.127803 + 0.0415258i 0.372220 0.928144i \(-0.378597\pi\)
−0.244417 + 0.969670i \(0.578597\pi\)
\(312\) 2.59430 + 17.9368i 0.146873 + 1.01547i
\(313\) 8.58863 + 11.8212i 0.485458 + 0.668175i 0.979542 0.201239i \(-0.0644966\pi\)
−0.494084 + 0.869414i \(0.664497\pi\)
\(314\) 8.13109 5.90758i 0.458864 0.333384i
\(315\) 1.93090 + 13.2183i 0.108794 + 0.744764i
\(316\) 0.322945 + 0.104931i 0.0181671 + 0.00590284i
\(317\) 20.0536 + 14.5698i 1.12632 + 0.818319i 0.985155 0.171667i \(-0.0549152\pi\)
0.141165 + 0.989986i \(0.454915\pi\)
\(318\) −8.32485 1.43347i −0.466834 0.0803850i
\(319\) −11.5508 21.3864i −0.646723 1.19741i
\(320\) 3.40067 0.590514i 0.190103 0.0330107i
\(321\) −3.82313 3.92730i −0.213386 0.219200i
\(322\) 5.73817 + 1.86444i 0.319776 + 0.103901i
\(323\) 0.357675 + 1.10081i 0.0199016 + 0.0612507i
\(324\) −13.5299 0.728065i −0.751664 0.0404480i
\(325\) 11.9594 17.5331i 0.663388 0.972561i
\(326\) 4.90077 + 15.0830i 0.271429 + 0.835372i
\(327\) −2.90810 + 5.52270i −0.160818 + 0.305406i
\(328\) 13.8372 19.0453i 0.764033 1.05160i
\(329\) −0.466174 −0.0257010
\(330\) 1.18613 8.95462i 0.0652945 0.492936i
\(331\) 10.2699 0.564483 0.282242 0.959343i \(-0.408922\pi\)
0.282242 + 0.959343i \(0.408922\pi\)
\(332\) −1.77948 + 2.44925i −0.0976619 + 0.134420i
\(333\) 14.1784 + 10.8952i 0.776970 + 0.597054i
\(334\) −1.16548 3.58696i −0.0637720 0.196270i
\(335\) −1.44673 1.40438i −0.0790433 0.0767295i
\(336\) 1.94754 + 3.95270i 0.106247 + 0.215638i
\(337\) 2.70961 + 8.33932i 0.147602 + 0.454272i 0.997336 0.0729391i \(-0.0232379\pi\)
−0.849735 + 0.527211i \(0.823238\pi\)
\(338\) −3.35562 1.09031i −0.182522 0.0593049i
\(339\) −9.54262 + 9.28950i −0.518284 + 0.504536i
\(340\) 2.46229 + 14.1799i 0.133537 + 0.769015i
\(341\) −19.3864 9.29939i −1.04983 0.503590i
\(342\) −0.538257 0.191031i −0.0291056 0.0103298i
\(343\) 16.1660 + 11.7453i 0.872883 + 0.634187i
\(344\) 3.96090 + 1.28697i 0.213558 + 0.0693890i
\(345\) 15.8630 5.17897i 0.854033 0.278826i
\(346\) −9.27557 + 6.73910i −0.498658 + 0.362296i
\(347\) 9.19468 + 12.6554i 0.493596 + 0.679377i 0.981046 0.193774i \(-0.0620729\pi\)
−0.487450 + 0.873151i \(0.662073\pi\)
\(348\) −18.9134 + 2.73556i −1.01387 + 0.146642i
\(349\) −28.9739 9.41418i −1.55094 0.503929i −0.596567 0.802563i \(-0.703469\pi\)
−0.954368 + 0.298633i \(0.903469\pi\)
\(350\) −1.96492 + 6.72036i −0.105029 + 0.359218i
\(351\) 10.7973 19.2325i 0.576316 1.02656i
\(352\) −3.48086 19.0151i −0.185531 1.01351i
\(353\) −18.4443 −0.981692 −0.490846 0.871246i \(-0.663312\pi\)
−0.490846 + 0.871246i \(0.663312\pi\)
\(354\) −9.20959 + 8.96531i −0.489484 + 0.476501i
\(355\) 1.16419 + 0.166705i 0.0617885 + 0.00884776i
\(356\) 22.7033 7.37676i 1.20327 0.390967i
\(357\) 13.2275 6.51733i 0.700073 0.344933i
\(358\) 0.152584 0.110859i 0.00806432 0.00585907i
\(359\) 5.34445 + 16.4485i 0.282069 + 0.868120i 0.987262 + 0.159104i \(0.0508606\pi\)
−0.705192 + 0.709016i \(0.749139\pi\)
\(360\) −14.6426 7.68399i −0.771733 0.404982i
\(361\) −15.3120 11.1248i −0.805896 0.585518i
\(362\) 0.150359i 0.00790271i
\(363\) −18.9096 2.32949i −0.992497 0.122266i
\(364\) −12.7257 −0.667007
\(365\) −20.6793 10.1527i −1.08241 0.531414i
\(366\) 10.4148 + 5.48417i 0.544392 + 0.286662i
\(367\) 2.16652 0.703945i 0.113091 0.0367456i −0.251925 0.967747i \(-0.581063\pi\)
0.365016 + 0.931001i \(0.381063\pi\)
\(368\) 4.45313 3.23539i 0.232135 0.168656i
\(369\) −27.4755 + 8.11771i −1.43032 + 0.422591i
\(370\) 4.37842 + 8.28653i 0.227623 + 0.430796i
\(371\) 4.26789 13.1352i 0.221578 0.681947i
\(372\) −12.1131 + 11.7918i −0.628037 + 0.611378i
\(373\) −29.7264 −1.53917 −0.769587 0.638542i \(-0.779538\pi\)
−0.769587 + 0.638542i \(0.779538\pi\)
\(374\) −9.80798 + 1.79542i −0.507159 + 0.0928392i
\(375\) 6.55419 + 18.2220i 0.338457 + 0.940982i
\(376\) 0.339192 0.466858i 0.0174925 0.0240764i
\(377\) 9.61288 29.5854i 0.495089 1.52373i
\(378\) −1.42705 + 7.13509i −0.0733993 + 0.366990i
\(379\) 16.8851 12.2677i 0.867328 0.630151i −0.0625406 0.998042i \(-0.519920\pi\)
0.929869 + 0.367892i \(0.119920\pi\)
\(380\) 0.653965 + 0.634822i 0.0335477 + 0.0325657i
\(381\) −17.2470 + 2.49454i −0.883591 + 0.127799i
\(382\) 0.865899 2.66496i 0.0443032 0.136351i
\(383\) −6.84780 4.97522i −0.349906 0.254222i 0.398924 0.916984i \(-0.369384\pi\)
−0.748830 + 0.662763i \(0.769384\pi\)
\(384\) −18.0451 3.10721i −0.920858 0.158564i
\(385\) 14.2122 + 4.01506i 0.724319 + 0.204627i
\(386\) 11.3891i 0.579689i
\(387\) −2.86789 4.17906i −0.145783 0.212434i
\(388\) −4.72778 1.53615i −0.240017 0.0779861i
\(389\) 25.0694 8.14555i 1.27107 0.412996i 0.405643 0.914031i \(-0.367048\pi\)
0.865427 + 0.501036i \(0.167048\pi\)
\(390\) 9.34299 6.80826i 0.473101 0.344750i
\(391\) −10.8270 14.9021i −0.547547 0.753633i
\(392\) −7.11404 + 2.31149i −0.359313 + 0.116748i
\(393\) −24.2888 12.7898i −1.22521 0.645160i
\(394\) 3.24032 + 2.35423i 0.163245 + 0.118605i
\(395\) −0.0862861 0.496907i −0.00434153 0.0250021i
\(396\) −6.83934 + 13.3271i −0.343690 + 0.669710i
\(397\) 19.7388i 0.990662i −0.868704 0.495331i \(-0.835047\pi\)
0.868704 0.495331i \(-0.164953\pi\)
\(398\) −5.05761 + 6.96121i −0.253515 + 0.348934i
\(399\) 0.435087 0.826263i 0.0217816 0.0413649i
\(400\) 3.90643 + 5.05397i 0.195321 + 0.252699i
\(401\) 20.7738 + 28.5926i 1.03739 + 1.42785i 0.899249 + 0.437436i \(0.144113\pi\)
0.138143 + 0.990412i \(0.455887\pi\)
\(402\) −0.485403 0.985168i −0.0242097 0.0491357i
\(403\) −8.50354 26.1712i −0.423591 1.30368i
\(404\) −0.795240 + 2.44750i −0.0395647 + 0.121768i
\(405\) 8.43199 + 18.2730i 0.418989 + 0.907991i
\(406\) 10.2626i 0.509326i
\(407\) 17.3934 9.39423i 0.862161 0.465655i
\(408\) −3.09755 + 17.9890i −0.153352 + 0.890588i
\(409\) 3.86369 5.31791i 0.191047 0.262954i −0.702739 0.711448i \(-0.748040\pi\)
0.893786 + 0.448495i \(0.148040\pi\)
\(410\) −14.8648 2.12855i −0.734118 0.105121i
\(411\) 21.7329 3.14336i 1.07201 0.155051i
\(412\) −5.24700 7.22188i −0.258501 0.355796i
\(413\) −12.3516 17.0006i −0.607785 0.836544i
\(414\) 9.08612 + 0.244292i 0.446559 + 0.0120063i
\(415\) 4.45114 + 0.637377i 0.218498 + 0.0312876i
\(416\) 14.5421 20.0154i 0.712983 0.981337i
\(417\) 26.0238 + 4.48107i 1.27439 + 0.219439i
\(418\) −0.435658 + 0.457064i −0.0213087 + 0.0223557i
\(419\) 1.69814i 0.0829594i −0.999139 0.0414797i \(-0.986793\pi\)
0.999139 0.0414797i \(-0.0132072\pi\)
\(420\) 6.81166 9.40335i 0.332375 0.458836i
\(421\) 5.97401 18.3861i 0.291155 0.896084i −0.693330 0.720620i \(-0.743857\pi\)
0.984486 0.175464i \(-0.0561427\pi\)
\(422\) −0.798503 2.45754i −0.0388705 0.119631i
\(423\) −0.673509 + 0.198990i −0.0327471 + 0.00967521i
\(424\) 10.0492 + 13.8315i 0.488030 + 0.671716i
\(425\) 16.9128 13.0726i 0.820393 0.634116i
\(426\) 0.566819 + 0.298471i 0.0274625 + 0.0144610i
\(427\) −11.3116 + 15.5691i −0.547407 + 0.753440i
\(428\) 4.76399i 0.230276i
\(429\) −14.5395 19.5750i −0.701974 0.945088i
\(430\) −0.454504 2.61741i −0.0219181 0.126223i
\(431\) −14.8290 10.7739i −0.714287 0.518960i 0.170267 0.985398i \(-0.445537\pi\)
−0.884554 + 0.466438i \(0.845537\pi\)
\(432\) 4.50097 + 4.87938i 0.216553 + 0.234759i
\(433\) 6.21706 2.02005i 0.298773 0.0970772i −0.155795 0.987789i \(-0.549794\pi\)
0.454568 + 0.890712i \(0.349794\pi\)
\(434\) 5.33610 + 7.34451i 0.256141 + 0.352548i
\(435\) 16.7160 + 22.9394i 0.801470 + 1.09986i
\(436\) 5.15967 1.67648i 0.247103 0.0802887i
\(437\) −1.10939 0.360464i −0.0530695 0.0172433i
\(438\) −8.75298 8.99148i −0.418234 0.429630i
\(439\) 6.71248i 0.320369i −0.987087 0.160185i \(-0.948791\pi\)
0.987087 0.160185i \(-0.0512090\pi\)
\(440\) −14.3619 + 11.3116i −0.684675 + 0.539261i
\(441\) 8.57902 + 3.04475i 0.408525 + 0.144988i
\(442\) −10.3239 7.50078i −0.491059 0.356776i
\(443\) −4.76834 + 14.6754i −0.226551 + 0.697252i 0.771580 + 0.636133i \(0.219467\pi\)
−0.998130 + 0.0611190i \(0.980533\pi\)
\(444\) −2.22482 15.3822i −0.105585 0.730006i
\(445\) −25.4406 24.6959i −1.20600 1.17070i
\(446\) −8.98775 + 6.52999i −0.425582 + 0.309204i
\(447\) 14.9648 2.16444i 0.707810 0.102375i
\(448\) −0.949872 + 2.92341i −0.0448772 + 0.138118i
\(449\) 4.40619 6.06460i 0.207941 0.286206i −0.692289 0.721620i \(-0.743398\pi\)
0.900231 + 0.435414i \(0.143398\pi\)
\(450\) 0.0297974 + 10.5480i 0.00140466 + 0.497239i
\(451\) −4.20349 + 31.3932i −0.197935 + 1.47825i
\(452\) 11.5756 0.544471
\(453\) 22.8576 + 23.4804i 1.07395 + 1.10321i
\(454\) −0.303422 + 0.933836i −0.0142403 + 0.0438271i
\(455\) 8.83004 + 16.7116i 0.413959 + 0.783452i
\(456\) 0.510903 + 1.03692i 0.0239252 + 0.0485583i
\(457\) −29.4978 + 21.4314i −1.37985 + 1.00252i −0.382954 + 0.923767i \(0.625093\pi\)
−0.996894 + 0.0787515i \(0.974907\pi\)
\(458\) −7.04425 + 2.28882i −0.329156 + 0.106949i
\(459\) 16.3286 15.0622i 0.762153 0.703044i
\(460\) −13.0199 6.39218i −0.607054 0.298037i
\(461\) −9.37436 −0.436607 −0.218304 0.975881i \(-0.570052\pi\)
−0.218304 + 0.975881i \(0.570052\pi\)
\(462\) 6.55747 + 4.65955i 0.305081 + 0.216782i
\(463\) 0.0632711i 0.00294046i 0.999999 + 0.00147023i \(0.000467989\pi\)
−0.999999 + 0.00147023i \(0.999532\pi\)
\(464\) 7.57456 + 5.50324i 0.351640 + 0.255481i
\(465\) 23.8903 + 7.72513i 1.10788 + 0.358244i
\(466\) −3.40141 10.4685i −0.157567 0.484943i
\(467\) −22.5665 + 16.3955i −1.04425 + 0.758694i −0.971111 0.238627i \(-0.923303\pi\)
−0.0731419 + 0.997322i \(0.523303\pi\)
\(468\) −18.3855 + 5.43205i −0.849872 + 0.251097i
\(469\) 1.70774 0.554877i 0.0788560 0.0256219i
\(470\) −0.364380 0.0521771i −0.0168076 0.00240675i
\(471\) 17.2679 + 17.7384i 0.795661 + 0.817341i
\(472\) 26.0127 1.19733
\(473\) −5.51181 + 1.00898i −0.253433 + 0.0463929i
\(474\) 0.0466177 0.270732i 0.00214122 0.0124351i
\(475\) 0.379890 1.29929i 0.0174305 0.0596154i
\(476\) −12.1899 3.96073i −0.558722 0.181540i
\(477\) 0.559207 20.7990i 0.0256043 0.952322i
\(478\) 7.59295 + 10.4508i 0.347294 + 0.478009i
\(479\) −7.89453 + 5.73571i −0.360710 + 0.262071i −0.753348 0.657622i \(-0.771563\pi\)
0.392638 + 0.919693i \(0.371563\pi\)
\(480\) 7.00603 + 21.4592i 0.319780 + 0.979472i
\(481\) 24.0616 + 7.81809i 1.09712 + 0.356474i
\(482\) −0.997876 0.724999i −0.0454520 0.0330228i
\(483\) −2.52181 + 14.6454i −0.114746 + 0.666388i
\(484\) 10.3650 + 12.9158i 0.471135 + 0.587083i
\(485\) 1.26319 + 7.27451i 0.0573586 + 0.330318i
\(486\) 0.983931 + 10.9176i 0.0446320 + 0.495234i
\(487\) −11.8791 3.85975i −0.538293 0.174902i 0.0272380 0.999629i \(-0.491329\pi\)
−0.565531 + 0.824727i \(0.691329\pi\)
\(488\) −7.36152 22.6564i −0.333240 1.02561i
\(489\) −35.0402 + 17.2647i −1.58457 + 0.780735i
\(490\) 3.42362 + 3.32340i 0.154663 + 0.150136i
\(491\) 6.27879 + 19.3241i 0.283358 + 0.872086i 0.986886 + 0.161419i \(0.0516069\pi\)
−0.703528 + 0.710667i \(0.748393\pi\)
\(492\) 22.0342 + 11.6026i 0.993378 + 0.523086i
\(493\) 18.4163 25.3478i 0.829427 1.14161i
\(494\) −0.808121 −0.0363591
\(495\) 22.2470 0.265771i 0.999929 0.0119455i
\(496\) 8.28220 0.371882
\(497\) −0.615625 + 0.847335i −0.0276145 + 0.0380082i
\(498\) 2.16717 + 1.14117i 0.0971134 + 0.0511372i
\(499\) 12.5106 + 38.5036i 0.560050 + 1.72366i 0.682220 + 0.731147i \(0.261015\pi\)
−0.122170 + 0.992509i \(0.538985\pi\)
\(500\) 6.96598 15.3229i 0.311528 0.685262i
\(501\) 8.33307 4.10579i 0.372294 0.183433i
\(502\) −2.43449 7.49258i −0.108656 0.334410i
\(503\) 18.9478 + 6.15652i 0.844841 + 0.274505i 0.699284 0.714844i \(-0.253502\pi\)
0.145557 + 0.989350i \(0.453502\pi\)
\(504\) 12.1425 8.33282i 0.540871 0.371173i
\(505\) 3.76590 0.653935i 0.167580 0.0290997i
\(506\) 4.34609 9.06026i 0.193207 0.402777i
\(507\) 1.47473 8.56446i 0.0654950 0.380361i
\(508\) 12.2543 + 8.90326i 0.543696 + 0.395018i
\(509\) 24.3487 + 7.91139i 1.07924 + 0.350666i 0.794079 0.607814i \(-0.207953\pi\)
0.285160 + 0.958480i \(0.407953\pi\)
\(510\) 11.0686 3.61370i 0.490126 0.160017i
\(511\) 16.5980 12.0591i 0.734251 0.533464i
\(512\) 8.07895 + 11.1197i 0.357042 + 0.491427i
\(513\) 0.275899 1.37947i 0.0121813 0.0609051i
\(514\) −4.15760 1.35088i −0.183384 0.0595850i
\(515\) −5.84314 + 11.9015i −0.257480 + 0.524445i
\(516\) −0.747592 + 4.34163i −0.0329109 + 0.191130i
\(517\) −0.103040 + 0.769543i −0.00453171 + 0.0338445i
\(518\) −8.34654 −0.366726
\(519\) −19.6984 20.2351i −0.864663 0.888223i
\(520\) −23.1610 3.31652i −1.01568 0.145439i
\(521\) 2.77739 0.902428i 0.121680 0.0395361i −0.247544 0.968877i \(-0.579624\pi\)
0.369224 + 0.929341i \(0.379624\pi\)
\(522\) 4.38069 + 14.8270i 0.191737 + 0.648962i
\(523\) −18.1007 + 13.1509i −0.791488 + 0.575050i −0.908405 0.418092i \(-0.862699\pi\)
0.116917 + 0.993142i \(0.462699\pi\)
\(524\) 7.37313 + 22.6922i 0.322097 + 0.991312i
\(525\) −17.0751 2.42045i −0.745218 0.105637i
\(526\) 13.6937 + 9.94902i 0.597072 + 0.433798i
\(527\) 27.7159i 1.20732i
\(528\) 6.95545 2.34124i 0.302697 0.101890i
\(529\) −4.43631 −0.192883
\(530\) 4.80614 9.78933i 0.208765 0.425221i
\(531\) −25.1020 19.2894i −1.08933 0.837087i
\(532\) −0.771948 + 0.250821i −0.0334682 + 0.0108745i
\(533\) −32.7946 + 23.8267i −1.42049 + 1.03205i
\(534\) −8.53575 17.3241i −0.369378 0.749686i
\(535\) 6.25616 3.30562i 0.270477 0.142914i
\(536\) −0.686874 + 2.11398i −0.0296684 + 0.0913100i
\(537\) 0.324040 + 0.332870i 0.0139834 + 0.0143644i
\(538\) −17.7560 −0.765517
\(539\) 6.94374 7.28492i 0.299088 0.313784i
\(540\) 5.82732 16.4932i 0.250768 0.709753i
\(541\) −11.8895 + 16.3644i −0.511168 + 0.703562i −0.984116 0.177528i \(-0.943190\pi\)
0.472948 + 0.881090i \(0.343190\pi\)
\(542\) −4.88368 + 15.0304i −0.209772 + 0.645612i
\(543\) 0.366533 0.0530138i 0.0157294 0.00227504i
\(544\) 20.1594 14.6466i 0.864325 0.627969i
\(545\) −5.78175 5.61250i −0.247663 0.240413i
\(546\) 1.47375 + 10.1894i 0.0630705 + 0.436064i
\(547\) 6.37562 19.6221i 0.272602 0.838982i −0.717242 0.696824i \(-0.754596\pi\)
0.989844 0.142158i \(-0.0454041\pi\)
\(548\) −15.4416 11.2190i −0.659633 0.479251i
\(549\) −9.69675 + 27.3220i −0.413847 + 1.16607i
\(550\) 10.6594 + 4.72905i 0.454519 + 0.201647i
\(551\) 1.98414i 0.0845271i
\(552\) −12.8320 13.1816i −0.546166 0.561048i
\(553\) 0.427169 + 0.138796i 0.0181651 + 0.00590220i
\(554\) 6.54199 2.12562i 0.277943 0.0903090i
\(555\) −18.6564 + 13.5950i −0.791922 + 0.577075i
\(556\) −13.4913 18.5692i −0.572159 0.787510i
\(557\) 9.96646 3.23830i 0.422292 0.137211i −0.0901589 0.995927i \(-0.528737\pi\)
0.512451 + 0.858716i \(0.328737\pi\)
\(558\) 10.8444 + 8.33329i 0.459082 + 0.352776i
\(559\) −5.80176 4.21523i −0.245388 0.178285i
\(560\) −5.60482 + 0.973257i −0.236847 + 0.0411276i
\(561\) −7.83484 23.2760i −0.330787 0.982715i
\(562\) 9.63230i 0.406314i
\(563\) 21.2655 29.2694i 0.896232 1.23356i −0.0754225 0.997152i \(-0.524031\pi\)
0.971654 0.236406i \(-0.0759695\pi\)
\(564\) 0.540125 + 0.284415i 0.0227434 + 0.0119760i
\(565\) −8.03204 15.2013i −0.337910 0.639524i
\(566\) −12.3393 16.9836i −0.518659 0.713873i
\(567\) −17.8965 0.963033i −0.751581 0.0404436i
\(568\) −0.400645 1.23306i −0.0168107 0.0517379i
\(569\) 0.102235 0.314646i 0.00428590 0.0131907i −0.948891 0.315605i \(-0.897793\pi\)
0.953177 + 0.302414i \(0.0977926\pi\)
\(570\) 0.432562 0.597143i 0.0181180 0.0250115i
\(571\) 23.8700i 0.998927i 0.866335 + 0.499463i \(0.166469\pi\)
−0.866335 + 0.499463i \(0.833531\pi\)
\(572\) −2.81281 + 21.0071i −0.117610 + 0.878351i
\(573\) 6.80172 + 1.17120i 0.284146 + 0.0489275i
\(574\) 7.86052 10.8191i 0.328092 0.451580i
\(575\) 0.639828 + 21.5333i 0.0266827 + 0.898001i
\(576\) −0.124458 + 4.62908i −0.00518577 + 0.192878i
\(577\) 10.2076 + 14.0496i 0.424950 + 0.584893i 0.966785 0.255592i \(-0.0822703\pi\)
−0.541835 + 0.840485i \(0.682270\pi\)
\(578\) −0.528040 0.726785i −0.0219636 0.0302303i
\(579\) 27.7633 4.01557i 1.15380 0.166881i
\(580\) 3.49710 24.4221i 0.145209 1.01407i
\(581\) −2.35378 + 3.23970i −0.0976511 + 0.134405i
\(582\) −0.682464 + 3.96339i −0.0282890 + 0.164288i
\(583\) −20.7398 9.94862i −0.858955 0.412030i
\(584\) 25.3967i 1.05092i
\(585\) 19.8908 + 20.3751i 0.822382 + 0.842406i
\(586\) 5.30201 16.3179i 0.219024 0.674086i
\(587\) 4.29831 + 13.2288i 0.177410 + 0.546012i 0.999735 0.0230056i \(-0.00732356\pi\)
−0.822325 + 0.569018i \(0.807324\pi\)
\(588\) −3.49717 7.09782i −0.144221 0.292709i
\(589\) −1.03166 1.41996i −0.0425088 0.0585084i
\(590\) −7.75173 14.6708i −0.319134 0.603988i
\(591\) −4.59647 + 8.72904i −0.189073 + 0.359065i
\(592\) −4.47575 + 6.16034i −0.183952 + 0.253188i
\(593\) 21.9317i 0.900628i 0.892870 + 0.450314i \(0.148688\pi\)
−0.892870 + 0.450314i \(0.851312\pi\)
\(594\) 11.4629 + 3.93282i 0.470330 + 0.161365i
\(595\) 3.25695 + 18.7562i 0.133522 + 0.768930i
\(596\) −10.6327 7.72513i −0.435534 0.316434i
\(597\) −18.7527 9.87463i −0.767495 0.404142i
\(598\) 12.2312 3.97414i 0.500169 0.162515i
\(599\) −9.26009 12.7454i −0.378357 0.520764i 0.576791 0.816892i \(-0.304305\pi\)
−0.955148 + 0.296128i \(0.904305\pi\)
\(600\) 14.8480 15.3390i 0.606167 0.626214i
\(601\) −32.7170 + 10.6304i −1.33455 + 0.433623i −0.887469 0.460868i \(-0.847538\pi\)
−0.447086 + 0.894491i \(0.647538\pi\)
\(602\) 2.25007 + 0.731093i 0.0917061 + 0.0297971i
\(603\) 2.23042 1.53062i 0.0908295 0.0623319i
\(604\) 28.4828i 1.15895i
\(605\) 9.76929 22.5735i 0.397178 0.917741i
\(606\) 2.05179 + 0.353301i 0.0833482 + 0.0143519i
\(607\) 10.7163 + 7.78585i 0.434962 + 0.316018i 0.783630 0.621228i \(-0.213366\pi\)
−0.348668 + 0.937246i \(0.613366\pi\)
\(608\) 0.487630 1.50077i 0.0197760 0.0608643i
\(609\) −25.0174 + 3.61841i −1.01376 + 0.146625i
\(610\) −10.5842 + 10.9034i −0.428541 + 0.441464i
\(611\) −0.803895 + 0.584064i −0.0325221 + 0.0236287i
\(612\) −19.3021 0.518960i −0.780241 0.0209777i
\(613\) −1.14046 + 3.50996i −0.0460626 + 0.141766i −0.971443 0.237275i \(-0.923746\pi\)
0.925380 + 0.379041i \(0.123746\pi\)
\(614\) −3.01007 + 4.14301i −0.121477 + 0.167198i
\(615\) −0.0522419 36.9865i −0.00210660 1.49144i
\(616\) −2.93165 16.0149i −0.118119 0.645258i
\(617\) −4.13390 −0.166425 −0.0832123 0.996532i \(-0.526518\pi\)
−0.0832123 + 0.996532i \(0.526518\pi\)
\(618\) −5.17485 + 5.03759i −0.208163 + 0.202642i
\(619\) −9.56349 + 29.4334i −0.384389 + 1.18303i 0.552533 + 0.833491i \(0.313661\pi\)
−0.936922 + 0.349537i \(0.886339\pi\)
\(620\) −10.1957 19.2961i −0.409467 0.774952i
\(621\) 2.60808 + 22.2355i 0.104659 + 0.892280i
\(622\) −1.34820 + 0.979527i −0.0540580 + 0.0392755i
\(623\) 30.0304 9.75746i 1.20314 0.390924i
\(624\) 8.31074 + 4.37621i 0.332696 + 0.175188i
\(625\) −24.9559 + 1.48436i −0.998236 + 0.0593744i
\(626\) −10.2751 −0.410677
\(627\) −1.26780 0.900858i −0.0506309 0.0359768i
\(628\) 21.5174i 0.858639i
\(629\) 20.6152 + 14.9778i 0.821983 + 0.597205i
\(630\) −8.31803 4.36505i −0.331398 0.173908i
\(631\) −6.88264 21.1826i −0.273993 0.843265i −0.989484 0.144643i \(-0.953797\pi\)
0.715491 0.698622i \(-0.246203\pi\)
\(632\) −0.449812 + 0.326808i −0.0178926 + 0.0129997i
\(633\) 5.70924 2.81300i 0.226922 0.111807i
\(634\) −16.5776 + 5.38640i −0.658382 + 0.213921i
\(635\) 3.18898 22.2703i 0.126551 0.883771i
\(636\) −12.9588 + 12.6151i −0.513850 + 0.500220i
\(637\) 12.8803 0.510334
\(638\) 16.9412 + 2.26839i 0.670708 + 0.0898066i
\(639\) −0.527738 + 1.48698i −0.0208770 + 0.0588240i
\(640\) 10.4178 21.2195i 0.411801 0.838774i
\(641\) −24.8632 8.07855i −0.982038 0.319083i −0.226372 0.974041i \(-0.572687\pi\)
−0.755666 + 0.654957i \(0.772687\pi\)
\(642\) 3.81449 0.551712i 0.150546 0.0217743i
\(643\) 12.0799 + 16.6265i 0.476385 + 0.655687i 0.977805 0.209517i \(-0.0671890\pi\)
−0.501421 + 0.865204i \(0.667189\pi\)
\(644\) 10.4502 7.59250i 0.411795 0.299187i
\(645\) 6.22025 2.03080i 0.244922 0.0799626i
\(646\) −0.774096 0.251519i −0.0304564 0.00989588i
\(647\) −17.6799 12.8452i −0.695070 0.504998i 0.183253 0.983066i \(-0.441337\pi\)
−0.878323 + 0.478068i \(0.841337\pi\)
\(648\) 13.9861 17.2220i 0.549425 0.676546i
\(649\) −30.7941 + 16.6319i −1.20877 + 0.652861i
\(650\) 5.03145 + 14.0508i 0.197350 + 0.551117i
\(651\) −16.0224 + 15.5974i −0.627968 + 0.611311i
\(652\) 32.2915 + 10.4921i 1.26463 + 0.410904i
\(653\) 0.796398 + 2.45106i 0.0311654 + 0.0959174i 0.965429 0.260665i \(-0.0839419\pi\)
−0.934264 + 0.356583i \(0.883942\pi\)
\(654\) −1.93988 3.93715i −0.0758552 0.153955i
\(655\) 24.6837 25.4281i 0.964474 0.993557i
\(656\) −3.77012 11.6032i −0.147199 0.453031i
\(657\) 18.8325 24.5075i 0.734727 0.956129i
\(658\) 0.192685 0.265209i 0.00751166 0.0103389i
\(659\) 35.4001 1.37899 0.689496 0.724290i \(-0.257832\pi\)
0.689496 + 0.724290i \(0.257832\pi\)
\(660\) −14.0171 13.3229i −0.545615 0.518593i
\(661\) −15.6254 −0.607759 −0.303879 0.952710i \(-0.598282\pi\)
−0.303879 + 0.952710i \(0.598282\pi\)
\(662\) −4.24489 + 5.84258i −0.164982 + 0.227078i
\(663\) 14.6447 27.8114i 0.568754 1.08011i
\(664\) −1.53182 4.71447i −0.0594463 0.182957i
\(665\) 0.865019 + 0.839698i 0.0335440 + 0.0325621i
\(666\) −12.0587 + 3.56278i −0.467267 + 0.138055i
\(667\) 9.75751 + 30.0305i 0.377812 + 1.16279i
\(668\) −7.67938 2.49518i −0.297124 0.0965415i
\(669\) −19.0871 19.6072i −0.737952 0.758059i
\(670\) 1.39694 0.242574i 0.0539686 0.00937145i
\(671\) 23.2006 + 22.1141i 0.895650 + 0.853704i
\(672\) −19.8120 3.41147i −0.764266 0.131600i
\(673\) 10.9648 + 7.96638i 0.422661 + 0.307081i 0.778708 0.627387i \(-0.215876\pi\)
−0.356047 + 0.934468i \(0.615876\pi\)
\(674\) −5.86425 1.90541i −0.225883 0.0733937i
\(675\) −25.7026 + 3.79167i −0.989293 + 0.145942i
\(676\) −6.11116 + 4.44001i −0.235044 + 0.170770i
\(677\) −24.4276 33.6218i −0.938830 1.29219i −0.956314 0.292342i \(-0.905565\pi\)
0.0174834 0.999847i \(-0.494435\pi\)
\(678\) −1.34056 9.26851i −0.0514838 0.355955i
\(679\) −6.25358 2.03191i −0.239990 0.0779775i
\(680\) −21.1536 10.3855i −0.811202 0.398265i
\(681\) −2.38341 0.410403i −0.0913323 0.0157267i
\(682\) 13.3035 7.18525i 0.509418 0.275138i
\(683\) 9.96643 0.381355 0.190677 0.981653i \(-0.438932\pi\)
0.190677 + 0.981653i \(0.438932\pi\)
\(684\) −1.00821 + 0.691888i −0.0385500 + 0.0264550i
\(685\) −4.01843 + 28.0628i −0.153536 + 1.07222i
\(686\) −13.3639 + 4.34220i −0.510237 + 0.165786i
\(687\) −8.06315 16.3649i −0.307628 0.624359i
\(688\) 1.74618 1.26867i 0.0665724 0.0483676i
\(689\) −9.09720 27.9983i −0.346576 1.06665i
\(690\) −3.61035 + 11.1652i −0.137444 + 0.425050i
\(691\) 17.8614 + 12.9771i 0.679480 + 0.493671i 0.873185 0.487389i \(-0.162051\pi\)
−0.193705 + 0.981060i \(0.562051\pi\)
\(692\) 24.5461i 0.933102i
\(693\) −9.04660 + 17.6281i −0.343652 + 0.669636i
\(694\) −11.0002 −0.417561
\(695\) −15.0241 + 30.6018i −0.569898 + 1.16079i
\(696\) 14.5792 27.6869i 0.552622 1.04947i
\(697\) −38.8296 + 12.6165i −1.47078 + 0.477884i
\(698\) 17.3316 12.5922i 0.656013 0.476621i
\(699\) 24.3199 11.9827i 0.919862 0.453226i
\(700\) 9.16725 + 11.8602i 0.346489 + 0.448273i
\(701\) 0.379885 1.16917i 0.0143481 0.0441588i −0.943626 0.331013i \(-0.892610\pi\)
0.957974 + 0.286854i \(0.0926096\pi\)
\(702\) 6.47861 + 14.0921i 0.244519 + 0.531871i
\(703\) 1.61369 0.0608614
\(704\) 4.61590 + 2.21419i 0.173968 + 0.0834503i
\(705\) −0.00128061 0.906651i −4.82305e−5 0.0341465i
\(706\) 7.62366 10.4931i 0.286920 0.394912i
\(707\) −1.05189 + 3.23738i −0.0395603 + 0.121754i
\(708\) 3.93891 + 27.2333i 0.148033 + 1.02349i
\(709\) 35.8795 26.0680i 1.34748 0.979003i 0.348349 0.937365i \(-0.386742\pi\)
0.999133 0.0416377i \(-0.0132575\pi\)
\(710\) −0.576036 + 0.593406i −0.0216182 + 0.0222701i
\(711\) 0.676403 + 0.0181859i 0.0253671 + 0.000682025i
\(712\) −12.0786 + 37.1741i −0.452664 + 1.39316i
\(713\) 22.5975 + 16.4180i 0.846283 + 0.614860i
\(714\) −1.75963 + 10.2190i −0.0658525 + 0.382437i
\(715\) 29.5387 10.8825i 1.10468 0.406982i
\(716\) 0.403786i 0.0150902i
\(717\) −22.7989 + 22.1942i −0.851442 + 0.828858i
\(718\) −11.5667 3.75825i −0.431665 0.140257i
\(719\) −21.3753 + 6.94525i −0.797164 + 0.259014i −0.679152 0.733998i \(-0.737652\pi\)
−0.118012 + 0.993012i \(0.537652\pi\)
\(720\) −7.68218 + 3.79858i −0.286298 + 0.141565i
\(721\) −6.94037 9.55259i −0.258473 0.355757i
\(722\) 12.6580 4.11282i 0.471080 0.153063i
\(723\) 1.41551 2.68816i 0.0526434 0.0999736i
\(724\) −0.260428 0.189212i −0.00967872 0.00703200i
\(725\) −34.4981 + 12.3535i −1.28123 + 0.458796i
\(726\) 9.14124 9.79492i 0.339263 0.363524i
\(727\) 11.9207i 0.442113i 0.975261 + 0.221057i \(0.0709506\pi\)
−0.975261 + 0.221057i \(0.929049\pi\)
\(728\) 12.2476 16.8574i 0.453926 0.624775i
\(729\) −26.2672 + 6.24789i −0.972858 + 0.231403i
\(730\) 14.3234 7.56815i 0.530132 0.280110i
\(731\) −4.24554 5.84348i −0.157027 0.216129i
\(732\) 22.6048 11.1376i 0.835497 0.411658i
\(733\) −10.7613 33.1199i −0.397478 1.22331i −0.927015 0.375025i \(-0.877634\pi\)
0.529537 0.848287i \(-0.322366\pi\)
\(734\) −0.495018 + 1.52351i −0.0182714 + 0.0562337i
\(735\) −6.89440 + 9.51756i −0.254304 + 0.351061i
\(736\) 25.1127i 0.925665i
\(737\) −0.538503 2.94172i −0.0198360 0.108360i
\(738\) 6.73836 18.9863i 0.248042 0.698895i
\(739\) 2.07357 2.85403i 0.0762775 0.104987i −0.769173 0.639040i \(-0.779332\pi\)
0.845451 + 0.534053i \(0.179332\pi\)
\(740\) 19.8624 + 2.84417i 0.730155 + 0.104554i
\(741\) −0.284928 1.96997i −0.0104671 0.0723686i
\(742\) 5.70863 + 7.85726i 0.209570 + 0.288449i
\(743\) 29.3251 + 40.3625i 1.07583 + 1.48076i 0.864026 + 0.503447i \(0.167935\pi\)
0.211807 + 0.977311i \(0.432065\pi\)
\(744\) −3.96227 27.3948i −0.145264 1.00434i
\(745\) −2.76700 + 19.3234i −0.101375 + 0.707954i
\(746\) 12.2869 16.9115i 0.449856 0.619174i
\(747\) −2.01775 + 5.68531i −0.0738257 + 0.208015i
\(748\) −9.23261 + 19.2471i −0.337577 + 0.703745i
\(749\) 6.30147i 0.230251i
\(750\) −13.0757 3.80307i −0.477456 0.138869i
\(751\) 5.26337 16.1990i 0.192063 0.591109i −0.807935 0.589271i \(-0.799415\pi\)
0.999998 0.00183792i \(-0.000585028\pi\)
\(752\) −0.0924172 0.284431i −0.00337011 0.0103721i
\(753\) 17.4064 8.57632i 0.634325 0.312538i
\(754\) 12.8580 + 17.6975i 0.468259 + 0.644503i
\(755\) −37.4042 + 19.7635i −1.36128 + 0.719269i
\(756\) 10.5624 + 11.4505i 0.384153 + 0.416450i
\(757\) 5.56375 7.65784i 0.202218 0.278329i −0.695849 0.718188i \(-0.744972\pi\)
0.898067 + 0.439859i \(0.144972\pi\)
\(758\) 14.6767i 0.533081i
\(759\) 23.6187 + 7.40005i 0.857303 + 0.268605i
\(760\) −1.47033 + 0.255317i −0.0533344 + 0.00926132i
\(761\) 39.8694 + 28.9668i 1.44526 + 1.05005i 0.986909 + 0.161276i \(0.0515608\pi\)
0.458354 + 0.888770i \(0.348439\pi\)
\(762\) 5.70962 10.8430i 0.206838 0.392800i
\(763\) 6.82484 2.21753i 0.247076 0.0802798i
\(764\) −3.52617 4.85335i −0.127572 0.175588i
\(765\) 12.7117 + 25.7080i 0.459594 + 0.929474i
\(766\) 5.66085 1.83932i 0.204535 0.0664574i
\(767\) −42.5997 13.8415i −1.53819 0.499787i
\(768\) 13.0578 12.7114i 0.471183 0.458685i
\(769\) 14.5213i 0.523650i −0.965115 0.261825i \(-0.915676\pi\)
0.965115 0.261825i \(-0.0843244\pi\)
\(770\) −8.15855 + 6.42581i −0.294014 + 0.231570i
\(771\) 1.82718 10.6113i 0.0658043 0.382158i
\(772\) −19.7263 14.3320i −0.709965 0.515820i
\(773\) −4.77507 + 14.6962i −0.171747 + 0.528584i −0.999470 0.0325533i \(-0.989636\pi\)
0.827723 + 0.561138i \(0.189636\pi\)
\(774\)