Properties

Label 930.2.br.b.11.20
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.20
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(1.17969 - 1.26820i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.730058 - 1.57067i) q^{6} +(-0.249897 - 2.37761i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.216657 - 2.99217i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(1.17969 - 1.26820i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(0.730058 - 1.57067i) q^{6} +(-0.249897 - 2.37761i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.216657 - 2.99217i) q^{9} +(0.669131 - 0.743145i) q^{10} +(1.10532 + 0.492120i) q^{11} +(0.208962 - 1.71940i) q^{12} +(0.245675 + 1.15581i) q^{13} +(-0.972390 - 2.18402i) q^{14} +(0.387543 - 1.68814i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.53967 + 1.57596i) q^{17} +(-1.13068 - 2.77877i) q^{18} +(0.0990872 + 0.0210616i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-3.31009 - 2.48793i) q^{21} +(1.20329 + 0.126471i) q^{22} +(3.15414 + 2.29162i) q^{23} +(-0.332589 - 1.69982i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.590815 + 1.02332i) q^{26} +(-4.05025 - 3.25507i) q^{27} +(-1.59970 - 1.77664i) q^{28} +(1.74063 + 5.35710i) q^{29} +(-0.153088 - 1.72527i) q^{30} +(-5.34746 - 1.55069i) q^{31} -1.00000i q^{32} +(1.92804 - 0.821215i) q^{33} +(-2.87943 + 2.59265i) q^{34} +(-1.40522 - 1.93413i) q^{35} +(-1.93403 - 2.29337i) q^{36} +(1.25459 + 0.724340i) q^{37} +(0.100746 - 0.0105888i) q^{38} +(1.75561 + 1.05193i) q^{39} +(0.104528 - 0.994522i) q^{40} +(2.78603 + 2.50855i) q^{41} +(-3.91690 - 1.34329i) q^{42} +(0.549332 - 2.58440i) q^{43} +(1.18348 - 0.251557i) q^{44} +(-1.68371 - 2.48296i) q^{45} +(3.70792 + 1.20478i) q^{46} +(-2.54004 - 0.825307i) q^{47} +(-0.841584 - 1.51385i) q^{48} +(1.25643 - 0.267062i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-2.17708 + 6.34815i) q^{51} +(0.878122 + 0.790664i) q^{52} +(-0.599254 + 5.70152i) q^{53} +(-4.85789 - 1.84416i) q^{54} +(1.20329 - 0.126471i) q^{55} +(-2.07042 - 1.19536i) q^{56} +(0.143603 - 0.100816i) q^{57} +(3.31087 + 4.55702i) q^{58} +(7.17722 - 6.46239i) q^{59} +(-0.678734 - 1.59352i) q^{60} -11.3964i q^{61} +(-5.56493 + 0.177661i) q^{62} +(-7.06008 + 1.26286i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(0.790664 + 0.878122i) q^{65} +(1.57991 - 1.37682i) q^{66} +(4.00396 + 6.93507i) q^{67} +(-1.93732 + 3.35555i) q^{68} +(6.62715 - 1.29668i) q^{69} +(-1.93413 - 1.40522i) q^{70} +(10.6927 + 1.12385i) q^{71} +(-2.54806 - 1.58347i) q^{72} +(-2.36384 + 5.30927i) q^{73} +(1.41702 + 0.301198i) q^{74} +(-0.508447 - 1.65574i) q^{75} +(0.0925430 - 0.0412028i) q^{76} +(0.893855 - 2.75100i) q^{77} +(1.99475 + 0.457932i) q^{78} +(4.22491 + 9.48930i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-8.90612 + 1.29655i) q^{81} +(3.42485 + 1.52484i) q^{82} +(-4.71135 + 5.23248i) q^{83} +(-4.14029 - 0.0671570i) q^{84} +(-2.27746 + 3.13466i) q^{85} +(-0.276179 - 2.62767i) q^{86} +(8.84728 + 4.11226i) q^{87} +(1.04782 - 0.604961i) q^{88} +(-4.63131 + 3.36485i) q^{89} +(-2.36858 - 1.84114i) q^{90} +(2.68667 - 0.872953i) q^{91} +3.89874 q^{92} +(-8.27494 + 4.95231i) q^{93} -2.67075 q^{94} +(0.0963429 - 0.0313037i) q^{95} +(-1.26820 - 1.17969i) q^{96} +(2.86853 - 2.08411i) q^{97} +(1.11241 - 0.642250i) q^{98} +(1.23303 - 3.41392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) 1.17969 1.26820i 0.681095 0.732195i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) 0.730058 1.57067i 0.298045 0.641225i
\(7\) −0.249897 2.37761i −0.0944523 0.898654i −0.934457 0.356075i \(-0.884115\pi\)
0.840005 0.542579i \(-0.182552\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −0.216657 2.99217i −0.0722189 0.997389i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 1.10532 + 0.492120i 0.333266 + 0.148380i 0.566546 0.824030i \(-0.308279\pi\)
−0.233280 + 0.972410i \(0.574946\pi\)
\(12\) 0.208962 1.71940i 0.0603221 0.496348i
\(13\) 0.245675 + 1.15581i 0.0681379 + 0.320563i 0.998995 0.0448197i \(-0.0142713\pi\)
−0.930857 + 0.365383i \(0.880938\pi\)
\(14\) −0.972390 2.18402i −0.259882 0.583705i
\(15\) 0.387543 1.68814i 0.100063 0.435875i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −3.53967 + 1.57596i −0.858496 + 0.382227i −0.788289 0.615306i \(-0.789033\pi\)
−0.0702070 + 0.997532i \(0.522366\pi\)
\(18\) −1.13068 2.77877i −0.266505 0.654962i
\(19\) 0.0990872 + 0.0210616i 0.0227322 + 0.00483187i 0.219264 0.975666i \(-0.429634\pi\)
−0.196532 + 0.980497i \(0.562968\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) −3.31009 2.48793i −0.722321 0.542911i
\(22\) 1.20329 + 0.126471i 0.256543 + 0.0269638i
\(23\) 3.15414 + 2.29162i 0.657684 + 0.477836i 0.865880 0.500251i \(-0.166759\pi\)
−0.208196 + 0.978087i \(0.566759\pi\)
\(24\) −0.332589 1.69982i −0.0678895 0.346974i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.590815 + 1.02332i 0.115868 + 0.200690i
\(27\) −4.05025 3.25507i −0.779471 0.626438i
\(28\) −1.59970 1.77664i −0.302315 0.335754i
\(29\) 1.74063 + 5.35710i 0.323227 + 0.994789i 0.972235 + 0.234008i \(0.0751841\pi\)
−0.649008 + 0.760781i \(0.724816\pi\)
\(30\) −0.153088 1.72527i −0.0279499 0.314990i
\(31\) −5.34746 1.55069i −0.960433 0.278512i
\(32\) 1.00000i 0.176777i
\(33\) 1.92804 0.821215i 0.335629 0.142955i
\(34\) −2.87943 + 2.59265i −0.493817 + 0.444635i
\(35\) −1.40522 1.93413i −0.237526 0.326927i
\(36\) −1.93403 2.29337i −0.322338 0.382228i
\(37\) 1.25459 + 0.724340i 0.206254 + 0.119081i 0.599569 0.800323i \(-0.295339\pi\)
−0.393315 + 0.919404i \(0.628672\pi\)
\(38\) 0.100746 0.0105888i 0.0163432 0.00171773i
\(39\) 1.75561 + 1.05193i 0.281123 + 0.168444i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 2.78603 + 2.50855i 0.435104 + 0.391770i 0.857368 0.514703i \(-0.172098\pi\)
−0.422264 + 0.906473i \(0.638765\pi\)
\(42\) −3.91690 1.34329i −0.604390 0.207274i
\(43\) 0.549332 2.58440i 0.0837724 0.394118i −0.916206 0.400708i \(-0.868764\pi\)
0.999978 + 0.00658976i \(0.00209760\pi\)
\(44\) 1.18348 0.251557i 0.178417 0.0379236i
\(45\) −1.68371 2.48296i −0.250993 0.370138i
\(46\) 3.70792 + 1.20478i 0.546703 + 0.177634i
\(47\) −2.54004 0.825307i −0.370502 0.120383i 0.117847 0.993032i \(-0.462401\pi\)
−0.488349 + 0.872648i \(0.662401\pi\)
\(48\) −0.841584 1.51385i −0.121472 0.218505i
\(49\) 1.25643 0.267062i 0.179490 0.0381518i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −2.17708 + 6.34815i −0.304853 + 0.888919i
\(52\) 0.878122 + 0.790664i 0.121774 + 0.109645i
\(53\) −0.599254 + 5.70152i −0.0823139 + 0.783164i 0.873030 + 0.487667i \(0.162152\pi\)
−0.955344 + 0.295497i \(0.904515\pi\)
\(54\) −4.85789 1.84416i −0.661075 0.250958i
\(55\) 1.20329 0.126471i 0.162252 0.0170534i
\(56\) −2.07042 1.19536i −0.276671 0.159736i
\(57\) 0.143603 0.100816i 0.0190206 0.0133534i
\(58\) 3.31087 + 4.55702i 0.434739 + 0.598367i
\(59\) 7.17722 6.46239i 0.934394 0.841332i −0.0531642 0.998586i \(-0.516931\pi\)
0.987558 + 0.157254i \(0.0502640\pi\)
\(60\) −0.678734 1.59352i −0.0876241 0.205723i
\(61\) 11.3964i 1.45915i −0.683899 0.729577i \(-0.739717\pi\)
0.683899 0.729577i \(-0.260283\pi\)
\(62\) −5.56493 + 0.177661i −0.706747 + 0.0225630i
\(63\) −7.06008 + 1.26286i −0.889486 + 0.159106i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 0.790664 + 0.878122i 0.0980699 + 0.108918i
\(66\) 1.57991 1.37682i 0.194473 0.169475i
\(67\) 4.00396 + 6.93507i 0.489162 + 0.847253i 0.999922 0.0124699i \(-0.00396940\pi\)
−0.510760 + 0.859723i \(0.670636\pi\)
\(68\) −1.93732 + 3.35555i −0.234935 + 0.406920i
\(69\) 6.62715 1.29668i 0.797815 0.156102i
\(70\) −1.93413 1.40522i −0.231172 0.167956i
\(71\) 10.6927 + 1.12385i 1.26899 + 0.133376i 0.714987 0.699138i \(-0.246433\pi\)
0.554004 + 0.832514i \(0.313099\pi\)
\(72\) −2.54806 1.58347i −0.300292 0.186614i
\(73\) −2.36384 + 5.30927i −0.276666 + 0.621403i −0.997420 0.0717888i \(-0.977129\pi\)
0.720754 + 0.693191i \(0.243796\pi\)
\(74\) 1.41702 + 0.301198i 0.164726 + 0.0350135i
\(75\) −0.508447 1.65574i −0.0587104 0.191189i
\(76\) 0.0925430 0.0412028i 0.0106154 0.00472628i
\(77\) 0.893855 2.75100i 0.101864 0.313506i
\(78\) 1.99475 + 0.457932i 0.225861 + 0.0518506i
\(79\) 4.22491 + 9.48930i 0.475340 + 1.06763i 0.979024 + 0.203743i \(0.0653106\pi\)
−0.503685 + 0.863887i \(0.668023\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −8.90612 + 1.29655i −0.989569 + 0.144061i
\(82\) 3.42485 + 1.52484i 0.378212 + 0.168391i
\(83\) −4.71135 + 5.23248i −0.517138 + 0.574340i −0.943987 0.329983i \(-0.892957\pi\)
0.426849 + 0.904323i \(0.359624\pi\)
\(84\) −4.14029 0.0671570i −0.451743 0.00732743i
\(85\) −2.27746 + 3.13466i −0.247025 + 0.340001i
\(86\) −0.276179 2.62767i −0.0297811 0.283349i
\(87\) 8.84728 + 4.11226i 0.948527 + 0.440881i
\(88\) 1.04782 0.604961i 0.111698 0.0644891i
\(89\) −4.63131 + 3.36485i −0.490918 + 0.356673i −0.805537 0.592545i \(-0.798123\pi\)
0.314619 + 0.949218i \(0.398123\pi\)
\(90\) −2.36858 1.84114i −0.249671 0.194073i
\(91\) 2.68667 0.872953i 0.281640 0.0915103i
\(92\) 3.89874 0.406471
\(93\) −8.27494 + 4.95231i −0.858071 + 0.513530i
\(94\) −2.67075 −0.275467
\(95\) 0.0963429 0.0313037i 0.00988457 0.00321169i
\(96\) −1.26820 1.17969i −0.129435 0.120402i
\(97\) 2.86853 2.08411i 0.291255 0.211610i −0.432556 0.901607i \(-0.642388\pi\)
0.723812 + 0.689997i \(0.242388\pi\)
\(98\) 1.11241 0.642250i 0.112370 0.0648770i
\(99\) 1.23303 3.41392i 0.123924 0.343112i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −4.17324 + 5.74397i −0.415253 + 0.571547i −0.964490 0.264120i \(-0.914919\pi\)
0.549237 + 0.835667i \(0.314919\pi\)
\(102\) −0.108842 + 6.71021i −0.0107770 + 0.664410i
\(103\) 5.54621 6.15969i 0.546484 0.606933i −0.405118 0.914264i \(-0.632770\pi\)
0.951602 + 0.307332i \(0.0994362\pi\)
\(104\) 1.07947 + 0.480612i 0.105851 + 0.0471279i
\(105\) −4.11059 0.499567i −0.401152 0.0487528i
\(106\) 1.19194 + 5.60765i 0.115772 + 0.544663i
\(107\) −6.45963 14.5086i −0.624476 1.40260i −0.897684 0.440640i \(-0.854751\pi\)
0.273208 0.961955i \(-0.411915\pi\)
\(108\) −5.19000 0.252729i −0.499408 0.0243188i
\(109\) 1.60032 4.92527i 0.153282 0.471755i −0.844700 0.535239i \(-0.820221\pi\)
0.997983 + 0.0634846i \(0.0202214\pi\)
\(110\) 1.10532 0.492120i 0.105388 0.0469218i
\(111\) 2.39864 0.736577i 0.227669 0.0699128i
\(112\) −2.33847 0.497057i −0.220965 0.0469675i
\(113\) −4.98372 + 11.1936i −0.468829 + 1.05301i 0.512150 + 0.858896i \(0.328849\pi\)
−0.980979 + 0.194112i \(0.937818\pi\)
\(114\) 0.105420 0.140257i 0.00987352 0.0131363i
\(115\) 3.87738 + 0.407529i 0.361567 + 0.0380023i
\(116\) 4.55702 + 3.31087i 0.423109 + 0.307407i
\(117\) 3.40514 0.985513i 0.314806 0.0911107i
\(118\) 4.82895 8.36398i 0.444541 0.769967i
\(119\) 4.63158 + 8.02214i 0.424577 + 0.735388i
\(120\) −1.13794 1.30579i −0.103879 0.119202i
\(121\) −6.38089 7.08670i −0.580081 0.644245i
\(122\) −3.52167 10.8386i −0.318837 0.981279i
\(123\) 6.46799 0.573922i 0.583199 0.0517488i
\(124\) −5.23766 + 1.88862i −0.470356 + 0.169603i
\(125\) 1.00000i 0.0894427i
\(126\) −6.32429 + 3.38274i −0.563412 + 0.301358i
\(127\) −10.1235 + 9.11522i −0.898314 + 0.808845i −0.982240 0.187627i \(-0.939920\pi\)
0.0839268 + 0.996472i \(0.473254\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −2.62950 3.74546i −0.231514 0.329770i
\(130\) 1.02332 + 0.590815i 0.0897512 + 0.0518179i
\(131\) −1.28517 + 0.135076i −0.112286 + 0.0118017i −0.160505 0.987035i \(-0.551312\pi\)
0.0482190 + 0.998837i \(0.484645\pi\)
\(132\) 1.07712 1.79765i 0.0937512 0.156465i
\(133\) 0.0253148 0.240854i 0.00219507 0.0208847i
\(134\) 5.95105 + 5.35835i 0.514092 + 0.462891i
\(135\) −5.13515 0.793847i −0.441964 0.0683235i
\(136\) −0.805585 + 3.78998i −0.0690783 + 0.324988i
\(137\) −9.30604 + 1.97806i −0.795069 + 0.168997i −0.587501 0.809224i \(-0.699888\pi\)
−0.207568 + 0.978221i \(0.566555\pi\)
\(138\) 5.90209 3.28111i 0.502420 0.279307i
\(139\) 13.9471 + 4.53168i 1.18298 + 0.384372i 0.833471 0.552563i \(-0.186350\pi\)
0.349504 + 0.936935i \(0.386350\pi\)
\(140\) −2.27370 0.738770i −0.192163 0.0624375i
\(141\) −4.04311 + 2.24766i −0.340491 + 0.189287i
\(142\) 10.5167 2.23538i 0.882538 0.187589i
\(143\) −0.297247 + 1.39844i −0.0248570 + 0.116943i
\(144\) −2.91267 0.718577i −0.242723 0.0598814i
\(145\) 4.18598 + 3.76907i 0.347627 + 0.313004i
\(146\) −0.607490 + 5.77988i −0.0502762 + 0.478346i
\(147\) 1.14351 1.90845i 0.0943152 0.157407i
\(148\) 1.44074 0.151428i 0.118428 0.0124473i
\(149\) 1.63220 + 0.942354i 0.133715 + 0.0772006i 0.565365 0.824841i \(-0.308735\pi\)
−0.431650 + 0.902041i \(0.642068\pi\)
\(150\) −0.995214 1.41759i −0.0812589 0.115745i
\(151\) −5.49870 7.56831i −0.447478 0.615901i 0.524375 0.851487i \(-0.324299\pi\)
−0.971853 + 0.235587i \(0.924299\pi\)
\(152\) 0.0752812 0.0677835i 0.00610611 0.00549797i
\(153\) 5.48243 + 10.2498i 0.443229 + 0.828650i
\(154\) 2.89257i 0.233090i
\(155\) −5.40638 + 1.33079i −0.434251 + 0.106892i
\(156\) 2.03863 0.180893i 0.163221 0.0144830i
\(157\) 3.22348 + 9.92085i 0.257262 + 0.791770i 0.993376 + 0.114912i \(0.0366587\pi\)
−0.736114 + 0.676857i \(0.763341\pi\)
\(158\) 6.95049 + 7.71930i 0.552951 + 0.614114i
\(159\) 6.52373 + 7.48601i 0.517365 + 0.593679i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 4.66038 8.07201i 0.367289 0.636163i
\(162\) −8.06957 + 3.98523i −0.634005 + 0.313109i
\(163\) 13.3181 + 9.67618i 1.04316 + 0.757897i 0.970899 0.239489i \(-0.0769800\pi\)
0.0722564 + 0.997386i \(0.476980\pi\)
\(164\) 3.72843 + 0.391874i 0.291142 + 0.0306002i
\(165\) 1.25912 1.67521i 0.0980227 0.130415i
\(166\) −2.86383 + 6.43227i −0.222277 + 0.499241i
\(167\) 2.65771 + 0.564914i 0.205660 + 0.0437144i 0.309590 0.950870i \(-0.399808\pi\)
−0.103930 + 0.994585i \(0.533142\pi\)
\(168\) −3.95840 + 1.21555i −0.305397 + 0.0937817i
\(169\) 10.6006 4.71967i 0.815427 0.363052i
\(170\) −1.19733 + 3.68501i −0.0918312 + 0.282627i
\(171\) 0.0415520 0.301049i 0.00317756 0.0230218i
\(172\) −1.07466 2.41372i −0.0819417 0.184044i
\(173\) −0.596310 2.80542i −0.0453366 0.213292i 0.949648 0.313318i \(-0.101441\pi\)
−0.994985 + 0.100026i \(0.968107\pi\)
\(174\) 9.68502 + 1.17704i 0.734219 + 0.0892310i
\(175\) −2.18402 0.972390i −0.165097 0.0735058i
\(176\) 0.809596 0.899147i 0.0610256 0.0677758i
\(177\) 0.271298 16.7258i 0.0203920 1.25719i
\(178\) −3.36485 + 4.63131i −0.252206 + 0.347132i
\(179\) 0.861720 + 8.19872i 0.0644080 + 0.612801i 0.978350 + 0.206957i \(0.0663559\pi\)
−0.913942 + 0.405845i \(0.866977\pi\)
\(180\) −2.82160 1.01910i −0.210310 0.0759591i
\(181\) 6.24798 3.60727i 0.464408 0.268126i −0.249488 0.968378i \(-0.580262\pi\)
0.713896 + 0.700252i \(0.246929\pi\)
\(182\) 2.28542 1.66046i 0.169407 0.123081i
\(183\) −14.4528 13.4442i −1.06838 0.993822i
\(184\) 3.70792 1.20478i 0.273351 0.0888172i
\(185\) 1.44868 0.106509
\(186\) −6.33959 + 7.26702i −0.464841 + 0.532844i
\(187\) −4.68802 −0.342822
\(188\) −2.54004 + 0.825307i −0.185251 + 0.0601917i
\(189\) −6.72715 + 10.4434i −0.489328 + 0.759643i
\(190\) 0.0819541 0.0595432i 0.00594558 0.00431972i
\(191\) 6.63369 3.82996i 0.479997 0.277126i −0.240418 0.970669i \(-0.577285\pi\)
0.720415 + 0.693543i \(0.243951\pi\)
\(192\) −1.57067 0.730058i −0.113354 0.0526874i
\(193\) 2.28405 + 21.7313i 0.164409 + 1.56425i 0.696496 + 0.717560i \(0.254741\pi\)
−0.532087 + 0.846690i \(0.678592\pi\)
\(194\) 2.08411 2.86853i 0.149631 0.205949i
\(195\) 2.04637 + 0.0331929i 0.146544 + 0.00237699i
\(196\) 0.859498 0.954569i 0.0613927 0.0681835i
\(197\) −13.7483 6.12112i −0.979524 0.436112i −0.146416 0.989223i \(-0.546774\pi\)
−0.833108 + 0.553111i \(0.813441\pi\)
\(198\) 0.117721 3.62786i 0.00836609 0.257821i
\(199\) 4.10633 + 19.3188i 0.291090 + 1.36947i 0.844051 + 0.536264i \(0.180165\pi\)
−0.552961 + 0.833207i \(0.686502\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 13.5185 + 3.10342i 0.953520 + 0.218898i
\(202\) −2.19400 + 6.75245i −0.154370 + 0.475100i
\(203\) 12.3021 5.47727i 0.863442 0.384429i
\(204\) 1.97005 + 6.41542i 0.137931 + 0.449169i
\(205\) 3.66705 + 0.779455i 0.256118 + 0.0544395i
\(206\) 3.37131 7.57209i 0.234890 0.527572i
\(207\) 6.17354 9.93422i 0.429091 0.690476i
\(208\) 1.17516 + 0.123514i 0.0814824 + 0.00856415i
\(209\) 0.0991581 + 0.0720426i 0.00685891 + 0.00498329i
\(210\) −4.06378 + 0.795125i −0.280427 + 0.0548688i
\(211\) −1.01522 + 1.75841i −0.0698904 + 0.121054i −0.898853 0.438250i \(-0.855598\pi\)
0.828962 + 0.559304i \(0.188932\pi\)
\(212\) 2.86646 + 4.96486i 0.196869 + 0.340988i
\(213\) 14.0394 12.2347i 0.961961 0.838307i
\(214\) −10.6269 11.8023i −0.726437 0.806790i
\(215\) −0.816467 2.51283i −0.0556826 0.171373i
\(216\) −5.01408 + 1.36344i −0.341165 + 0.0927703i
\(217\) −2.35063 + 13.1017i −0.159571 + 0.889403i
\(218\) 5.17873i 0.350748i
\(219\) 3.94461 + 9.26111i 0.266552 + 0.625808i
\(220\) 0.899147 0.809596i 0.0606205 0.0545829i
\(221\) −2.69112 3.70400i −0.181024 0.249158i
\(222\) 2.05363 1.44175i 0.137831 0.0967637i
\(223\) 7.44401 + 4.29780i 0.498488 + 0.287802i 0.728089 0.685483i \(-0.240409\pi\)
−0.229601 + 0.973285i \(0.573742\pi\)
\(224\) −2.37761 + 0.249897i −0.158861 + 0.0166970i
\(225\) −2.69962 1.30845i −0.179975 0.0872302i
\(226\) −1.28078 + 12.1858i −0.0851963 + 0.810589i
\(227\) −16.4788 14.8376i −1.09374 0.984805i −0.0937951 0.995592i \(-0.529900\pi\)
−0.999942 + 0.0107864i \(0.996567\pi\)
\(228\) 0.0569188 0.165969i 0.00376954 0.0109916i
\(229\) −2.31325 + 10.8830i −0.152864 + 0.719167i 0.833223 + 0.552937i \(0.186493\pi\)
−0.986087 + 0.166231i \(0.946840\pi\)
\(230\) 3.81354 0.810593i 0.251457 0.0534489i
\(231\) −2.43434 4.37892i −0.160168 0.288112i
\(232\) 5.35710 + 1.74063i 0.351711 + 0.114278i
\(233\) −3.65792 1.18853i −0.239638 0.0778631i 0.186736 0.982410i \(-0.440209\pi\)
−0.426374 + 0.904547i \(0.640209\pi\)
\(234\) 2.93394 1.98953i 0.191798 0.130059i
\(235\) −2.61239 + 0.555280i −0.170413 + 0.0362225i
\(236\) 2.00799 9.44685i 0.130709 0.614938i
\(237\) 17.0184 + 5.83642i 1.10546 + 0.379116i
\(238\) 6.88388 + 6.19827i 0.446215 + 0.401774i
\(239\) −0.622640 + 5.92403i −0.0402753 + 0.383194i 0.955754 + 0.294167i \(0.0950422\pi\)
−0.996029 + 0.0890264i \(0.971624\pi\)
\(240\) −1.48576 0.890239i −0.0959052 0.0574647i
\(241\) −20.7000 + 2.17565i −1.33340 + 0.140146i −0.744264 0.667886i \(-0.767199\pi\)
−0.589138 + 0.808032i \(0.700533\pi\)
\(242\) −8.25850 4.76804i −0.530876 0.306502i
\(243\) −8.86219 + 12.8243i −0.568510 + 0.822676i
\(244\) −6.69861 9.21984i −0.428834 0.590240i
\(245\) 0.954569 0.859498i 0.0609852 0.0549113i
\(246\) 5.97408 2.54455i 0.380893 0.162235i
\(247\) 0.119700i 0.00761634i
\(248\) −4.39770 + 3.41471i −0.279254 + 0.216835i
\(249\) 1.07789 + 12.1476i 0.0683086 + 0.769826i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −2.07968 2.30971i −0.131268 0.145788i 0.673927 0.738798i \(-0.264606\pi\)
−0.805195 + 0.593010i \(0.797939\pi\)
\(252\) −4.96943 + 5.17149i −0.313045 + 0.325773i
\(253\) 2.35858 + 4.08519i 0.148283 + 0.256833i
\(254\) −6.81124 + 11.7974i −0.427375 + 0.740236i
\(255\) 1.28867 + 6.58620i 0.0806995 + 0.412444i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −28.3682 2.98162i −1.76956 0.185988i −0.837050 0.547127i \(-0.815721\pi\)
−0.932512 + 0.361139i \(0.882388\pi\)
\(258\) −3.65821 2.74959i −0.227750 0.171182i
\(259\) 1.40868 3.16395i 0.0875312 0.196598i
\(260\) 1.15581 + 0.245675i 0.0716802 + 0.0152361i
\(261\) 15.6522 6.36890i 0.968848 0.394225i
\(262\) −1.18053 + 0.525604i −0.0729331 + 0.0324719i
\(263\) 5.09252 15.6732i 0.314018 0.966449i −0.662138 0.749382i \(-0.730351\pi\)
0.976157 0.217068i \(-0.0696492\pi\)
\(264\) 0.468897 2.04252i 0.0288586 0.125708i
\(265\) 2.33179 + 5.23729i 0.143241 + 0.321724i
\(266\) −0.0503523 0.236889i −0.00308730 0.0145246i
\(267\) −1.19623 + 9.84291i −0.0732079 + 0.602376i
\(268\) 7.31560 + 3.25712i 0.446872 + 0.198960i
\(269\) 5.37081 5.96489i 0.327464 0.363686i −0.556821 0.830632i \(-0.687979\pi\)
0.884286 + 0.466946i \(0.154646\pi\)
\(270\) −5.12913 + 0.831856i −0.312149 + 0.0506252i
\(271\) 3.77590 5.19708i 0.229369 0.315700i −0.678784 0.734338i \(-0.737493\pi\)
0.908153 + 0.418638i \(0.137493\pi\)
\(272\) 0.405011 + 3.85342i 0.0245574 + 0.233648i
\(273\) 2.06237 4.43705i 0.124820 0.268543i
\(274\) −8.23932 + 4.75697i −0.497755 + 0.287379i
\(275\) 0.978847 0.711174i 0.0590267 0.0428854i
\(276\) 4.59930 4.94437i 0.276846 0.297616i
\(277\) 3.61479 1.17452i 0.217192 0.0705698i −0.198400 0.980121i \(-0.563575\pi\)
0.415592 + 0.909551i \(0.363575\pi\)
\(278\) 14.6648 0.879538
\(279\) −3.48136 + 16.3365i −0.208424 + 0.978039i
\(280\) −2.39071 −0.142872
\(281\) −1.64265 + 0.533730i −0.0979925 + 0.0318397i −0.357603 0.933874i \(-0.616406\pi\)
0.259610 + 0.965713i \(0.416406\pi\)
\(282\) −3.15066 + 3.38704i −0.187619 + 0.201696i
\(283\) −10.5851 + 7.69052i −0.629219 + 0.457154i −0.856129 0.516761i \(-0.827137\pi\)
0.226911 + 0.973916i \(0.427137\pi\)
\(284\) 9.31116 5.37580i 0.552516 0.318995i
\(285\) 0.0739555 0.159111i 0.00438075 0.00942490i
\(286\) 0.149442 + 1.42185i 0.00883670 + 0.0840756i
\(287\) 5.26815 7.25098i 0.310969 0.428012i
\(288\) −2.99217 + 0.216657i −0.176315 + 0.0127666i
\(289\) −1.32962 + 1.47670i −0.0782131 + 0.0868645i
\(290\) 5.14581 + 2.29106i 0.302172 + 0.134536i
\(291\) 0.740916 6.09648i 0.0434333 0.357382i
\(292\) 1.20832 + 5.68471i 0.0707118 + 0.332673i
\(293\) −5.83737 13.1109i −0.341023 0.765950i −0.999906 0.0137045i \(-0.995638\pi\)
0.658883 0.752245i \(-0.271029\pi\)
\(294\) 0.497799 2.16841i 0.0290322 0.126464i
\(295\) 2.98445 9.18521i 0.173762 0.534783i
\(296\) 1.32344 0.589231i 0.0769231 0.0342484i
\(297\) −2.87493 5.59110i −0.166821 0.324428i
\(298\) 1.84352 + 0.391853i 0.106792 + 0.0226994i
\(299\) −1.87378 + 4.20858i −0.108363 + 0.243388i
\(300\) −1.38456 1.04067i −0.0799378 0.0600829i
\(301\) −6.28200 0.660264i −0.362088 0.0380570i
\(302\) −7.56831 5.49870i −0.435508 0.316415i
\(303\) 2.36136 + 12.0686i 0.135657 + 0.693324i
\(304\) 0.0506504 0.0877291i 0.00290500 0.00503161i
\(305\) −5.69818 9.86953i −0.326277 0.565128i
\(306\) 8.38148 + 8.05401i 0.479137 + 0.460417i
\(307\) −18.1743 20.1847i −1.03726 1.15200i −0.988195 0.153204i \(-0.951041\pi\)
−0.0490698 0.998795i \(-0.515626\pi\)
\(308\) −0.893855 2.75100i −0.0509321 0.156753i
\(309\) −1.26890 14.3002i −0.0721850 0.813512i
\(310\) −4.73054 + 2.93632i −0.268677 + 0.166772i
\(311\) 12.2264i 0.693293i 0.937996 + 0.346647i \(0.112680\pi\)
−0.937996 + 0.346647i \(0.887320\pi\)
\(312\) 1.88296 0.802012i 0.106601 0.0454050i
\(313\) −6.40966 + 5.77128i −0.362295 + 0.326212i −0.830095 0.557623i \(-0.811714\pi\)
0.467799 + 0.883835i \(0.345047\pi\)
\(314\) 6.13142 + 8.43917i 0.346016 + 0.476250i
\(315\) −5.48278 + 4.62371i −0.308919 + 0.260516i
\(316\) 8.99570 + 5.19367i 0.506048 + 0.292167i
\(317\) −18.7212 + 1.96767i −1.05148 + 0.110515i −0.614471 0.788939i \(-0.710631\pi\)
−0.437014 + 0.899455i \(0.643964\pi\)
\(318\) 8.51774 + 5.10367i 0.477651 + 0.286200i
\(319\) −0.712386 + 6.77790i −0.0398860 + 0.379490i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −26.0201 8.92353i −1.45230 0.498063i
\(322\) 1.93789 9.11707i 0.107995 0.508075i
\(323\) −0.383928 + 0.0816065i −0.0213623 + 0.00454071i
\(324\) −6.44311 + 6.28381i −0.357951 + 0.349101i
\(325\) 1.12380 + 0.365144i 0.0623370 + 0.0202545i
\(326\) 15.6564 + 5.08707i 0.867127 + 0.281747i
\(327\) −4.35834 7.83981i −0.241017 0.433543i
\(328\) 3.66705 0.779455i 0.202479 0.0430382i
\(329\) −1.32752 + 6.24547i −0.0731883 + 0.344324i
\(330\) 0.679829 1.98231i 0.0374234 0.109123i
\(331\) 23.5319 + 21.1882i 1.29343 + 1.16461i 0.976347 + 0.216211i \(0.0693700\pi\)
0.317083 + 0.948398i \(0.397297\pi\)
\(332\) −0.735985 + 7.00243i −0.0403924 + 0.384308i
\(333\) 1.89553 3.91089i 0.103874 0.214315i
\(334\) 2.70220 0.284013i 0.147858 0.0155405i
\(335\) 6.93507 + 4.00396i 0.378903 + 0.218760i
\(336\) −3.38904 + 2.37927i −0.184887 + 0.129800i
\(337\) −2.84275 3.91270i −0.154854 0.213139i 0.724540 0.689233i \(-0.242052\pi\)
−0.879394 + 0.476094i \(0.842052\pi\)
\(338\) 8.62327 7.76443i 0.469044 0.422329i
\(339\) 8.31649 + 19.5254i 0.451690 + 1.06047i
\(340\) 3.87465i 0.210132i
\(341\) −5.14752 4.34560i −0.278754 0.235327i
\(342\) −0.0535108 0.299155i −0.00289353 0.0161764i
\(343\) −6.12034 18.8365i −0.330467 1.01707i
\(344\) −1.76794 1.96349i −0.0953208 0.105865i
\(345\) 5.09094 4.43653i 0.274087 0.238855i
\(346\) −1.43405 2.48384i −0.0770948 0.133532i
\(347\) 9.62366 16.6687i 0.516625 0.894821i −0.483188 0.875516i \(-0.660521\pi\)
0.999814 0.0193048i \(-0.00614528\pi\)
\(348\) 9.57472 1.87341i 0.513259 0.100425i
\(349\) 7.89177 + 5.73371i 0.422437 + 0.306918i 0.778618 0.627499i \(-0.215921\pi\)
−0.356181 + 0.934417i \(0.615921\pi\)
\(350\) −2.37761 0.249897i −0.127089 0.0133576i
\(351\) 2.76719 5.48100i 0.147702 0.292554i
\(352\) 0.492120 1.10532i 0.0262301 0.0589137i
\(353\) −25.7648 5.47648i −1.37132 0.291484i −0.537382 0.843339i \(-0.680587\pi\)
−0.833940 + 0.551855i \(0.813920\pi\)
\(354\) −4.91053 15.9910i −0.260992 0.849911i
\(355\) 9.82208 4.37307i 0.521302 0.232099i
\(356\) −1.76900 + 5.44444i −0.0937571 + 0.288555i
\(357\) 15.6375 + 3.58988i 0.827625 + 0.189996i
\(358\) 3.35309 + 7.53116i 0.177216 + 0.398034i
\(359\) 6.70560 + 31.5474i 0.353908 + 1.66501i 0.690482 + 0.723349i \(0.257398\pi\)
−0.336574 + 0.941657i \(0.609268\pi\)
\(360\) −2.99842 0.0972966i −0.158031 0.00512798i
\(361\) −17.3480 7.72382i −0.913052 0.406517i
\(362\) 4.82747 5.36145i 0.253726 0.281792i
\(363\) −16.5148 0.267876i −0.866803 0.0140599i
\(364\) 1.66046 2.28542i 0.0870315 0.119789i
\(365\) 0.607490 + 5.77988i 0.0317975 + 0.302533i
\(366\) −17.9000 8.32000i −0.935645 0.434893i
\(367\) 20.0262 11.5621i 1.04536 0.603537i 0.124011 0.992281i \(-0.460424\pi\)
0.921346 + 0.388743i \(0.127091\pi\)
\(368\) 3.15414 2.29162i 0.164421 0.119459i
\(369\) 6.90239 8.87975i 0.359324 0.462261i
\(370\) 1.37778 0.447667i 0.0716272 0.0232731i
\(371\) 13.7058 0.711568
\(372\) −3.78367 + 8.87039i −0.196174 + 0.459908i
\(373\) −9.82687 −0.508816 −0.254408 0.967097i \(-0.581881\pi\)
−0.254408 + 0.967097i \(0.581881\pi\)
\(374\) −4.45858 + 1.44868i −0.230547 + 0.0749094i
\(375\) −1.26820 1.17969i −0.0654895 0.0609190i
\(376\) −2.16068 + 1.56983i −0.111429 + 0.0809577i
\(377\) −5.76415 + 3.32794i −0.296869 + 0.171397i
\(378\) −3.17072 + 12.0110i −0.163084 + 0.617781i
\(379\) −1.98672 18.9024i −0.102051 0.970949i −0.919005 0.394246i \(-0.871006\pi\)
0.816954 0.576703i \(-0.195661\pi\)
\(380\) 0.0595432 0.0819541i 0.00305450 0.00420416i
\(381\) −0.382667 + 23.5917i −0.0196046 + 1.20864i
\(382\) 5.12549 5.69243i 0.262243 0.291250i
\(383\) 12.8005 + 5.69917i 0.654077 + 0.291214i 0.706819 0.707394i \(-0.250129\pi\)
−0.0527421 + 0.998608i \(0.516796\pi\)
\(384\) −1.71940 0.208962i −0.0877427 0.0106635i
\(385\) −0.601400 2.82936i −0.0306502 0.144198i
\(386\) 8.88758 + 19.9618i 0.452366 + 1.01603i
\(387\) −7.85199 1.08376i −0.399139 0.0550908i
\(388\) 1.09568 3.37216i 0.0556249 0.171196i
\(389\) −24.7962 + 11.0400i −1.25722 + 0.559750i −0.923744 0.383010i \(-0.874888\pi\)
−0.333474 + 0.942759i \(0.608221\pi\)
\(390\) 1.95647 0.600796i 0.0990699 0.0304225i
\(391\) −14.7761 3.14076i −0.747261 0.158835i
\(392\) 0.522453 1.17345i 0.0263879 0.0592681i
\(393\) −1.34480 + 1.78920i −0.0678360 + 0.0902530i
\(394\) −14.9669 1.57309i −0.754022 0.0792509i
\(395\) 8.40353 + 6.10552i 0.422828 + 0.307202i
\(396\) −1.00911 3.48667i −0.0507097 0.175212i
\(397\) 17.8009 30.8321i 0.893401 1.54742i 0.0576304 0.998338i \(-0.481646\pi\)
0.835771 0.549078i \(-0.185021\pi\)
\(398\) 9.87518 + 17.1043i 0.494998 + 0.857362i
\(399\) −0.275588 0.316238i −0.0137966 0.0158317i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −6.80493 20.9434i −0.339822 1.04586i −0.964298 0.264820i \(-0.914687\pi\)
0.624476 0.781044i \(-0.285313\pi\)
\(402\) 13.8159 1.22592i 0.689072 0.0611431i
\(403\) 0.478567 6.56161i 0.0238391 0.326857i
\(404\) 7.09994i 0.353235i
\(405\) −7.06465 + 5.57590i −0.351045 + 0.277069i
\(406\) 10.0075 9.01077i 0.496662 0.447197i
\(407\) 1.03026 + 1.41804i 0.0510683 + 0.0702895i
\(408\) 3.85611 + 5.49265i 0.190906 + 0.271927i
\(409\) −5.53408 3.19510i −0.273643 0.157988i 0.356899 0.934143i \(-0.383834\pi\)
−0.630542 + 0.776155i \(0.717167\pi\)
\(410\) 3.72843 0.391874i 0.184134 0.0193533i
\(411\) −8.46968 + 14.1354i −0.417779 + 0.697248i
\(412\) 0.866403 8.24328i 0.0426846 0.406117i
\(413\) −17.1587 15.4497i −0.844322 0.760231i
\(414\) 2.80154 11.3557i 0.137688 0.558104i
\(415\) −1.46391 + 6.88714i −0.0718603 + 0.338076i
\(416\) 1.15581 0.245675i 0.0566682 0.0120452i
\(417\) 22.2003 12.3417i 1.08715 0.604375i
\(418\) 0.116567 + 0.0378750i 0.00570150 + 0.00185253i
\(419\) −20.0618 6.51848i −0.980084 0.318449i −0.225204 0.974312i \(-0.572305\pi\)
−0.754880 + 0.655863i \(0.772305\pi\)
\(420\) −3.61917 + 2.01198i −0.176598 + 0.0981748i
\(421\) 5.89085 1.25214i 0.287102 0.0610255i −0.0621093 0.998069i \(-0.519783\pi\)
0.349212 + 0.937044i \(0.386449\pi\)
\(422\) −0.422151 + 1.98606i −0.0205500 + 0.0966801i
\(423\) −1.91914 + 7.77902i −0.0933118 + 0.378229i
\(424\) 4.26039 + 3.83608i 0.206903 + 0.186296i
\(425\) −0.405011 + 3.85342i −0.0196459 + 0.186919i
\(426\) 9.57150 15.9743i 0.463741 0.773956i
\(427\) −27.0961 + 2.84792i −1.31127 + 0.137820i
\(428\) −13.7539 7.94080i −0.664818 0.383833i
\(429\) 1.42284 + 2.02669i 0.0686952 + 0.0978497i
\(430\) −1.55301 2.13754i −0.0748929 0.103081i
\(431\) 20.2822 18.2622i 0.976958 0.879657i −0.0157892 0.999875i \(-0.505026\pi\)
0.992747 + 0.120218i \(0.0383594\pi\)
\(432\) −4.34735 + 2.84615i −0.209162 + 0.136935i
\(433\) 37.0346i 1.77977i −0.456184 0.889886i \(-0.650784\pi\)
0.456184 0.889886i \(-0.349216\pi\)
\(434\) 1.81307 + 13.1869i 0.0870302 + 0.632990i
\(435\) 9.71810 0.862312i 0.465947 0.0413447i
\(436\) −1.60032 4.92527i −0.0766412 0.235877i
\(437\) 0.264270 + 0.293502i 0.0126418 + 0.0140401i
\(438\) 6.61338 + 7.58889i 0.316000 + 0.362611i
\(439\) 4.78973 + 8.29605i 0.228601 + 0.395949i 0.957394 0.288786i \(-0.0932515\pi\)
−0.728793 + 0.684735i \(0.759918\pi\)
\(440\) 0.604961 1.04782i 0.0288404 0.0499530i
\(441\) −1.07131 3.70159i −0.0510147 0.176266i
\(442\) −3.70400 2.69112i −0.176181 0.128003i
\(443\) −4.45924 0.468685i −0.211865 0.0222679i −0.00199861 0.999998i \(-0.500636\pi\)
−0.209866 + 0.977730i \(0.567303\pi\)
\(444\) 1.50759 2.00579i 0.0715472 0.0951905i
\(445\) −2.32841 + 5.22970i −0.110377 + 0.247912i
\(446\) 8.40777 + 1.78713i 0.398120 + 0.0846229i
\(447\) 3.12059 0.958273i 0.147599 0.0453248i
\(448\) −2.18402 + 0.972390i −0.103185 + 0.0459411i
\(449\) 7.55873 23.2634i 0.356718 1.09787i −0.598288 0.801281i \(-0.704152\pi\)
0.955006 0.296585i \(-0.0958479\pi\)
\(450\) −2.97183 0.410184i −0.140093 0.0193363i
\(451\) 1.84494 + 4.14381i 0.0868749 + 0.195124i
\(452\) 2.54753 + 11.9852i 0.119826 + 0.563736i
\(453\) −16.0849 1.95483i −0.755734 0.0918458i
\(454\) −20.2573 9.01915i −0.950724 0.423290i
\(455\) 1.89025 2.09934i 0.0886163 0.0984184i
\(456\) 0.00284562 0.175435i 0.000133259 0.00821551i
\(457\) 9.71077 13.3657i 0.454251 0.625223i −0.519053 0.854742i \(-0.673715\pi\)
0.973304 + 0.229519i \(0.0737154\pi\)
\(458\) 1.16300 + 11.0652i 0.0543432 + 0.517041i
\(459\) 19.4664 + 5.13882i 0.908614 + 0.239860i
\(460\) 3.37640 1.94937i 0.157426 0.0908898i
\(461\) 6.00865 4.36554i 0.279851 0.203323i −0.439002 0.898486i \(-0.644668\pi\)
0.718852 + 0.695163i \(0.244668\pi\)
\(462\) −3.66836 3.41234i −0.170668 0.158757i
\(463\) 13.0676 4.24593i 0.607304 0.197325i 0.0108089 0.999942i \(-0.496559\pi\)
0.596495 + 0.802616i \(0.296559\pi\)
\(464\) 5.63279 0.261496
\(465\) −4.69015 + 8.42630i −0.217501 + 0.390760i
\(466\) −3.84616 −0.178170
\(467\) −31.9309 + 10.3750i −1.47758 + 0.480096i −0.933390 0.358863i \(-0.883165\pi\)
−0.544194 + 0.838959i \(0.683165\pi\)
\(468\) 2.17555 2.79879i 0.100565 0.129374i
\(469\) 15.4883 11.2529i 0.715185 0.519612i
\(470\) −2.31294 + 1.33538i −0.106688 + 0.0615963i
\(471\) 16.3843 + 7.61552i 0.754949 + 0.350905i
\(472\) −1.00953 9.60499i −0.0464672 0.442106i
\(473\) 1.87902 2.58625i 0.0863976 0.118916i
\(474\) 17.9890 + 0.291789i 0.826263 + 0.0134023i
\(475\) 0.0677835 0.0752812i 0.00311012 0.00345414i
\(476\) 8.46233 + 3.76767i 0.387870 + 0.172691i
\(477\) 17.1897 + 0.557794i 0.787064 + 0.0255396i
\(478\) 1.23846 + 5.82649i 0.0566458 + 0.266498i
\(479\) −0.359545 0.807552i −0.0164280 0.0368980i 0.905145 0.425103i \(-0.139762\pi\)
−0.921573 + 0.388205i \(0.873095\pi\)
\(480\) −1.68814 0.387543i −0.0770526 0.0176888i
\(481\) −0.528976 + 1.62802i −0.0241192 + 0.0742314i
\(482\) −19.0145 + 8.46581i −0.866088 + 0.385607i
\(483\) −4.73911 15.4328i −0.215637 0.702215i
\(484\) −9.32770 1.98266i −0.423986 0.0901211i
\(485\) 1.44217 3.23916i 0.0654854 0.147083i
\(486\) −4.46553 + 14.9352i −0.202561 + 0.677473i
\(487\) −23.4787 2.46771i −1.06392 0.111823i −0.443643 0.896203i \(-0.646314\pi\)
−0.620280 + 0.784381i \(0.712981\pi\)
\(488\) −9.21984 6.69861i −0.417363 0.303232i
\(489\) 27.9826 5.47512i 1.26542 0.247593i
\(490\) 0.642250 1.11241i 0.0290139 0.0502535i
\(491\) 18.1512 + 31.4388i 0.819151 + 1.41881i 0.906309 + 0.422617i \(0.138888\pi\)
−0.0871575 + 0.996195i \(0.527778\pi\)
\(492\) 4.89537 4.26610i 0.220700 0.192331i
\(493\) −14.6038 16.2192i −0.657724 0.730476i
\(494\) 0.0369894 + 0.113842i 0.00166423 + 0.00512197i
\(495\) −0.639125 3.57305i −0.0287265 0.160597i
\(496\) −3.12725 + 4.60655i −0.140418 + 0.206840i
\(497\) 25.7040i 1.15298i
\(498\) 4.77896 + 11.2200i 0.214151 + 0.502781i
\(499\) −2.45437 + 2.20993i −0.109873 + 0.0989299i −0.722236 0.691647i \(-0.756886\pi\)
0.612363 + 0.790576i \(0.290219\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) 3.85170 2.70408i 0.172081 0.120810i
\(502\) −2.69163 1.55401i −0.120133 0.0693590i
\(503\) 35.8585 3.76888i 1.59885 0.168046i 0.737246 0.675624i \(-0.236126\pi\)
0.861606 + 0.507578i \(0.169459\pi\)
\(504\) −3.12813 + 6.45401i −0.139338 + 0.287485i
\(505\) −0.742146 + 7.06105i −0.0330251 + 0.314213i
\(506\) 3.50554 + 3.15640i 0.155840 + 0.140319i
\(507\) 6.51990 19.0114i 0.289559 0.844324i
\(508\) −2.83227 + 13.3248i −0.125662 + 0.591192i
\(509\) 15.0848 3.20636i 0.668620 0.142120i 0.138919 0.990304i \(-0.455637\pi\)
0.529701 + 0.848184i \(0.322304\pi\)
\(510\) 3.26084 + 5.86563i 0.144393 + 0.259735i
\(511\) 13.2141 + 4.29352i 0.584558 + 0.189934i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −0.332771 0.407841i −0.0146922 0.0180066i
\(514\) −27.9012 + 5.93058i −1.23067 + 0.261586i
\(515\) 1.72331 8.10756i 0.0759383 0.357262i
\(516\) −4.32883 1.48456i −0.190566 0.0653542i
\(517\) −2.40140 2.16223i −0.105613 0.0950947i
\(518\) 0.362021 3.44440i 0.0159063 0.151338i
\(519\) −4.26129 2.55329i −0.187050 0.112077i
\(520\) 1.17516 0.123514i 0.0515340 0.00541644i
\(521\) −7.30055 4.21497i −0.319843 0.184661i 0.331480 0.943462i \(-0.392452\pi\)
−0.651323 + 0.758801i \(0.725786\pi\)
\(522\) 12.9180 10.8940i 0.565408 0.476817i
\(523\) −12.7735 17.5813i −0.558548 0.768775i 0.432593 0.901589i \(-0.357599\pi\)
−0.991141 + 0.132814i \(0.957599\pi\)
\(524\) −0.960326 + 0.864681i −0.0419520 + 0.0377738i
\(525\) −3.80966 + 1.62266i −0.166267 + 0.0708185i
\(526\) 16.4798i 0.718551i
\(527\) 21.3721 2.93846i 0.930982 0.128001i
\(528\) −0.185224 2.08744i −0.00806086 0.0908444i
\(529\) −2.41029 7.41811i −0.104795 0.322526i
\(530\) 3.83608 + 4.26039i 0.166628 + 0.185060i
\(531\) −20.8916 20.0753i −0.906616 0.871194i
\(532\) −0.121091 0.209735i −0.00524994 0.00909317i
\(533\) −2.21495 + 3.83640i −0.0959400 + 0.166173i
\(534\) 1.90395 + 9.73082i 0.0823919 + 0.421094i
\(535\) −12.8485 9.33497i −0.555488 0.403586i
\(536\) 7.96406 + 0.837056i 0.343995 + 0.0361553i
\(537\) 11.4142 + 8.57913i 0.492558 + 0.370217i
\(538\) 3.26469 7.33262i 0.140751 0.316132i
\(539\) 1.52018 + 0.323125i 0.0654789 + 0.0139180i
\(540\) −4.62104 + 2.37613i −0.198858 + 0.102252i
\(541\) −17.4557 + 7.77177i −0.750478 + 0.334135i −0.746080 0.665856i \(-0.768067\pi\)
−0.00439797 + 0.999990i \(0.501400\pi\)
\(542\) 1.98511 6.10953i 0.0852677 0.262427i
\(543\) 2.79595 12.1791i 0.119986 0.522657i
\(544\) 1.57596 + 3.53967i 0.0675688 + 0.151762i
\(545\) −1.07672 5.06556i −0.0461216 0.216985i
\(546\) 0.590303 4.85719i 0.0252626 0.207869i
\(547\) −39.7825 17.7123i −1.70098 0.757324i −0.998980 0.0451451i \(-0.985625\pi\)
−0.701998 0.712179i \(-0.747708\pi\)
\(548\) −6.36607 + 7.07024i −0.271945 + 0.302026i
\(549\) −34.0998 + 2.46910i −1.45534 + 0.105379i
\(550\) 0.711174 0.978847i 0.0303246 0.0417382i
\(551\) 0.0596446 + 0.567481i 0.00254095 + 0.0241755i
\(552\) 2.84630 6.12364i 0.121147 0.260639i
\(553\) 21.5061 12.4166i 0.914533 0.528006i
\(554\) 3.07492 2.23406i 0.130641 0.0949162i
\(555\) 1.70900 1.83721i 0.0725428 0.0779854i
\(556\) 13.9471 4.53168i 0.591488 0.192186i
\(557\) −17.2905 −0.732622 −0.366311 0.930493i \(-0.619379\pi\)
−0.366311 + 0.930493i \(0.619379\pi\)
\(558\) 1.73727 + 16.6127i 0.0735446 + 0.703272i
\(559\) 3.12203 0.132048
\(560\) −2.27370 + 0.738770i −0.0960814 + 0.0312187i
\(561\) −5.53042 + 5.94535i −0.233495 + 0.251013i
\(562\) −1.39732 + 1.01522i −0.0589426 + 0.0428243i
\(563\) −17.2892 + 9.98194i −0.728654 + 0.420689i −0.817930 0.575318i \(-0.804878\pi\)
0.0892754 + 0.996007i \(0.471545\pi\)
\(564\) −1.94980 + 4.19488i −0.0821015 + 0.176636i
\(565\) 1.28078 + 12.1858i 0.0538829 + 0.512662i
\(566\) −7.69052 + 10.5851i −0.323257 + 0.444925i
\(567\) 5.30830 + 20.8513i 0.222928 + 0.875673i
\(568\) 7.19423 7.99000i 0.301863 0.335253i
\(569\) −28.9104 12.8718i −1.21199 0.539612i −0.301627 0.953426i \(-0.597530\pi\)
−0.910361 + 0.413814i \(0.864196\pi\)
\(570\) 0.0211680 0.174177i 0.000886630 0.00729546i
\(571\) 0.981866 + 4.61931i 0.0410898 + 0.193312i 0.993905 0.110238i \(-0.0351613\pi\)
−0.952815 + 0.303550i \(0.901828\pi\)
\(572\) 0.581503 + 1.30608i 0.0243139 + 0.0546098i
\(573\) 2.96855 12.9310i 0.124013 0.540201i
\(574\) 2.76963 8.52404i 0.115602 0.355787i
\(575\) 3.56167 1.58576i 0.148532 0.0661307i
\(576\) −2.77877 + 1.13068i −0.115782 + 0.0471118i
\(577\) 6.21112 + 1.32021i 0.258572 + 0.0549612i 0.335374 0.942085i \(-0.391137\pi\)
−0.0768015 + 0.997046i \(0.524471\pi\)
\(578\) −0.808222 + 1.81530i −0.0336176 + 0.0755064i
\(579\) 30.2540 + 22.7395i 1.25731 + 0.945023i
\(580\) 5.60193 + 0.588787i 0.232608 + 0.0244480i
\(581\) 13.6182 + 9.89419i 0.564977 + 0.410480i
\(582\) −1.17926 6.02705i −0.0488820 0.249829i
\(583\) −3.46820 + 6.00709i −0.143638 + 0.248788i
\(584\) 2.90586 + 5.03309i 0.120245 + 0.208271i
\(585\) 2.45618 2.55605i 0.101551 0.105680i
\(586\) −9.60317 10.6654i −0.396703 0.440584i
\(587\) 11.4050 + 35.1008i 0.470733 + 1.44877i 0.851627 + 0.524148i \(0.175616\pi\)
−0.380894 + 0.924619i \(0.624384\pi\)
\(588\) −0.196641 2.21611i −0.00810935 0.0913909i
\(589\) −0.497205 0.266280i −0.0204870 0.0109719i
\(590\) 9.65790i 0.397609i
\(591\) −23.9815 + 10.2145i −0.986468 + 0.420169i
\(592\) 1.07658 0.969356i 0.0442471 0.0398403i
\(593\) −17.7308 24.4044i −0.728119 1.00217i −0.999215 0.0396171i \(-0.987386\pi\)
0.271096 0.962552i \(-0.412614\pi\)
\(594\) −4.46197 4.42904i −0.183077 0.181726i
\(595\) 8.02214 + 4.63158i 0.328876 + 0.189876i
\(596\) 1.87438 0.197006i 0.0767777 0.00806966i
\(597\) 29.3442 + 17.5825i 1.20098 + 0.719605i
\(598\) −0.481548 + 4.58162i −0.0196920 + 0.187357i
\(599\) −16.8780 15.1970i −0.689616 0.620933i 0.247936 0.968776i \(-0.420248\pi\)
−0.937553 + 0.347843i \(0.886914\pi\)
\(600\) −1.63838 0.561879i −0.0668866 0.0229386i
\(601\) 0.472492 2.22290i 0.0192734 0.0906741i −0.967460 0.253025i \(-0.918574\pi\)
0.986733 + 0.162351i \(0.0519078\pi\)
\(602\) −6.17857 + 1.31329i −0.251820 + 0.0535259i
\(603\) 19.8834 13.4831i 0.809714 0.549072i
\(604\) −8.89709 2.89084i −0.362017 0.117627i
\(605\) −9.06936 2.94681i −0.368722 0.119805i
\(606\) 5.97520 + 10.7482i 0.242726 + 0.436617i
\(607\) −41.0463 + 8.72466i −1.66602 + 0.354123i −0.941988 0.335647i \(-0.891045\pi\)
−0.724029 + 0.689769i \(0.757712\pi\)
\(608\) 0.0210616 0.0990872i 0.000854162 0.00401852i
\(609\) 7.56647 22.0631i 0.306609 0.894040i
\(610\) −8.46914 7.62565i −0.342906 0.308754i
\(611\) 0.329875 3.13855i 0.0133453 0.126972i
\(612\) 10.4601 + 5.06980i 0.422824 + 0.204934i
\(613\) 2.40884 0.253180i 0.0972923 0.0102258i −0.0557572 0.998444i \(-0.517757\pi\)
0.153050 + 0.988219i \(0.451091\pi\)
\(614\) −23.5222 13.5806i −0.949280 0.548067i
\(615\) 5.31449 3.73103i 0.214301 0.150450i
\(616\) −1.70021 2.34014i −0.0685035 0.0942870i
\(617\) 7.08510 6.37945i 0.285235 0.256827i −0.514075 0.857745i \(-0.671865\pi\)
0.799311 + 0.600918i \(0.205198\pi\)
\(618\) −5.62581 13.2082i −0.226303 0.531313i
\(619\) 14.0896i 0.566311i −0.959074 0.283155i \(-0.908619\pi\)
0.959074 0.283155i \(-0.0913812\pi\)
\(620\) −3.59164 + 4.25443i −0.144244 + 0.170862i
\(621\) −5.31569 19.5486i −0.213311 0.784458i
\(622\) 3.77815 + 11.6280i 0.151490 + 0.466239i
\(623\) 9.15766 + 10.1706i 0.366894 + 0.407477i
\(624\) 1.54296 1.34462i 0.0617679 0.0538280i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −4.31252 + 7.46951i −0.172363 + 0.298542i
\(627\) 0.208340 0.0407642i 0.00832031 0.00162797i
\(628\) 8.43917 + 6.13142i 0.336760 + 0.244670i
\(629\) −5.58238 0.586732i −0.222584 0.0233945i
\(630\) −3.78563 + 6.09168i −0.150823 + 0.242698i
\(631\) 5.29306 11.8884i 0.210713 0.473270i −0.777009 0.629489i \(-0.783264\pi\)
0.987722 + 0.156220i \(0.0499308\pi\)
\(632\) 10.1603 + 2.15965i 0.404157 + 0.0859062i
\(633\) 1.03237 + 3.36187i 0.0410329 + 0.133622i
\(634\) −17.1968 + 7.65652i −0.682973 + 0.304079i
\(635\) −4.20958 + 12.9558i −0.167052 + 0.514133i
\(636\) 9.67797 + 2.22176i 0.383756 + 0.0880984i
\(637\) 0.617346 + 1.38658i 0.0244601 + 0.0549383i
\(638\) 1.41697 + 6.66631i 0.0560983 + 0.263922i
\(639\) 1.04609 32.2378i 0.0413829 1.27531i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −19.2340 + 21.3615i −0.759696 + 0.843728i −0.991645 0.129000i \(-0.958823\pi\)
0.231948 + 0.972728i \(0.425490\pi\)
\(642\) −27.5041 0.446127i −1.08550 0.0176072i
\(643\) 5.26128 7.24153i 0.207485 0.285578i −0.692574 0.721347i \(-0.743523\pi\)
0.900059 + 0.435769i \(0.143523\pi\)
\(644\) −0.974284 9.26969i −0.0383922 0.365277i
\(645\) −4.14994 1.92892i −0.163404 0.0759510i
\(646\) −0.339920 + 0.196253i −0.0133740 + 0.00772146i
\(647\) 17.5864 12.7773i 0.691394 0.502327i −0.185724 0.982602i \(-0.559463\pi\)
0.877118 + 0.480275i \(0.159463\pi\)
\(648\) −4.18596 + 7.96729i −0.164440 + 0.312985i
\(649\) 11.1134 3.61096i 0.436238 0.141742i
\(650\) 1.18163 0.0463473
\(651\) 13.8426 + 18.4371i 0.542533 + 0.722605i
\(652\) 16.4621 0.644705
\(653\) 39.0457 12.6867i 1.52798 0.496469i 0.579947 0.814654i \(-0.303073\pi\)
0.948029 + 0.318185i \(0.103073\pi\)
\(654\) −6.56766 6.10930i −0.256816 0.238893i
\(655\) −1.04545 + 0.759563i −0.0408491 + 0.0296786i
\(656\) 3.24670 1.87448i 0.126762 0.0731863i
\(657\) 16.3983 + 5.92271i 0.639760 + 0.231067i
\(658\) 0.667414 + 6.35002i 0.0260185 + 0.247549i
\(659\) 3.20807 4.41553i 0.124969 0.172005i −0.741948 0.670457i \(-0.766098\pi\)
0.866917 + 0.498452i \(0.166098\pi\)
\(660\) 0.0339877 2.09537i 0.00132297 0.0815622i
\(661\) −20.5855 + 22.8626i −0.800685 + 0.889250i −0.995802 0.0915295i \(-0.970824\pi\)
0.195118 + 0.980780i \(0.437491\pi\)
\(662\) 28.9277 + 12.8794i 1.12431 + 0.500573i
\(663\) −7.87210 0.956710i −0.305727 0.0371556i
\(664\) 1.46391 + 6.88714i 0.0568106 + 0.267273i
\(665\) −0.0985040 0.221244i −0.00381982 0.00857946i
\(666\) 0.594226 4.30523i 0.0230258 0.166824i
\(667\) −6.78625 + 20.8859i −0.262765 + 0.808706i
\(668\) 2.48218 1.10514i 0.0960386 0.0427591i
\(669\) 14.2321 4.37041i 0.550245 0.168970i
\(670\) 7.83293 + 1.66494i 0.302613 + 0.0643223i
\(671\) 5.60837 12.5966i 0.216509 0.486286i
\(672\) −2.48793 + 3.31009i −0.0959741 + 0.127690i
\(673\) −26.1640 2.74995i −1.00855 0.106003i −0.414179 0.910195i \(-0.635931\pi\)
−0.594369 + 0.804193i \(0.702598\pi\)
\(674\) −3.91270 2.84275i −0.150712 0.109498i
\(675\) −4.84410 + 1.88009i −0.186449 + 0.0723645i
\(676\) 5.80188 10.0491i 0.223149 0.386506i
\(677\) 3.20458 + 5.55050i 0.123162 + 0.213323i 0.921013 0.389532i \(-0.127363\pi\)
−0.797851 + 0.602855i \(0.794030\pi\)
\(678\) 13.9431 + 15.9998i 0.535482 + 0.614469i
\(679\) −5.67205 6.29945i −0.217673 0.241751i
\(680\) 1.19733 + 3.68501i 0.0459156 + 0.141314i
\(681\) −38.2569 + 3.39464i −1.46601 + 0.130083i
\(682\) −6.23845 2.54224i −0.238883 0.0973473i
\(683\) 12.0123i 0.459638i 0.973233 + 0.229819i \(0.0738134\pi\)
−0.973233 + 0.229819i \(0.926187\pi\)
\(684\) −0.143336 0.267977i −0.00548058 0.0102464i
\(685\) −7.07024 + 6.36607i −0.270140 + 0.243235i
\(686\) −11.6416 16.0233i −0.444478 0.611771i
\(687\) 11.0729 + 15.7722i 0.422456 + 0.601747i
\(688\) −2.28816 1.32107i −0.0872354 0.0503654i
\(689\) −6.73708 + 0.708096i −0.256662 + 0.0269763i
\(690\) 3.47081 5.79258i 0.132131 0.220520i
\(691\) 2.98513 28.4016i 0.113560 1.08045i −0.778224 0.627986i \(-0.783879\pi\)
0.891784 0.452461i \(-0.149454\pi\)
\(692\) −2.13141 1.91913i −0.0810239 0.0729543i
\(693\) −8.42511 2.07854i −0.320044 0.0789571i
\(694\) 4.00174 18.8267i 0.151904 0.714653i
\(695\) 14.3444 3.04899i 0.544113 0.115655i
\(696\) 8.52719 4.74047i 0.323222 0.179687i
\(697\) −13.8150 4.48876i −0.523280 0.170024i
\(698\) 9.27733 + 3.01439i 0.351152 + 0.114096i
\(699\) −5.82250 + 3.23687i −0.220227 + 0.122430i
\(700\) −2.33847 + 0.497057i −0.0883858 + 0.0187870i
\(701\) −9.39731 + 44.2109i −0.354931 + 1.66982i 0.332139 + 0.943230i \(0.392230\pi\)
−0.687071 + 0.726591i \(0.741104\pi\)
\(702\) 0.938033 6.06785i 0.0354038 0.229016i
\(703\) 0.109058 + 0.0981967i 0.00411322 + 0.00370356i
\(704\) 0.126471 1.20329i 0.00476657 0.0453508i
\(705\) −2.37761 + 3.96809i −0.0895458 + 0.149447i
\(706\) −26.1961 + 2.75332i −0.985904 + 0.103623i
\(707\) 14.6998 + 8.48696i 0.552844 + 0.319185i
\(708\) −9.61168 13.6909i −0.361229 0.514535i
\(709\) 8.43616 + 11.6114i 0.316826 + 0.436074i 0.937495 0.347999i \(-0.113139\pi\)
−0.620668 + 0.784073i \(0.713139\pi\)
\(710\) 7.99000 7.19423i 0.299859 0.269995i
\(711\) 27.4782 14.6976i 1.03051 0.551202i
\(712\) 5.72462i 0.214539i
\(713\) −13.3131 17.1455i −0.498578 0.642102i
\(714\) 15.9815 1.41808i 0.598092 0.0530703i
\(715\) 0.441795 + 1.35971i 0.0165222 + 0.0508501i
\(716\) 5.51623 + 6.12640i 0.206151 + 0.228954i
\(717\) 6.77832 + 7.77816i 0.253141 + 0.290481i
\(718\) 16.1261 + 27.9312i 0.601820 + 1.04238i
\(719\) 26.4095 45.7426i 0.984909 1.70591i 0.342570 0.939492i \(-0.388703\pi\)
0.642339 0.766421i \(-0.277964\pi\)
\(720\) −2.88173 + 0.834029i −0.107396 + 0.0310824i
\(721\) −16.0314 11.6475i −0.597039 0.433774i
\(722\) −18.8857 1.98497i −0.702853 0.0738729i
\(723\) −21.6604 + 28.8183i −0.805559 + 1.07176i
\(724\) 2.93442 6.59081i 0.109057 0.244946i
\(725\) 5.50970 + 1.17112i 0.204625 + 0.0434944i
\(726\) −15.7893 + 4.84859i −0.585996 + 0.179948i
\(727\) 11.9850 5.33605i 0.444498 0.197903i −0.172268 0.985050i \(-0.555109\pi\)
0.616765 + 0.787147i \(0.288443\pi\)
\(728\) 0.872953 2.68667i 0.0323538 0.0995747i
\(729\) 5.80905 + 26.3677i 0.215150 + 0.976581i
\(730\) 2.36384 + 5.30927i 0.0874895 + 0.196505i
\(731\) 2.12847 + 10.0137i 0.0787243 + 0.370369i
\(732\) −19.5949 2.38140i −0.724248 0.0880191i
\(733\) −35.3453 15.7367i −1.30551 0.581249i −0.368197 0.929748i \(-0.620025\pi\)
−0.937309 + 0.348499i \(0.886692\pi\)
\(734\) 15.4731 17.1846i 0.571124 0.634297i
\(735\) 0.0360826 2.22453i 0.00133093 0.0820528i
\(736\) 2.29162 3.15414i 0.0844702 0.116263i
\(737\) 1.01277 + 9.63589i 0.0373060 + 0.354942i
\(738\) 3.82057 10.5781i 0.140637 0.389385i
\(739\) 27.8291 16.0671i 1.02371 0.591039i 0.108534 0.994093i \(-0.465385\pi\)
0.915176 + 0.403054i \(0.132051\pi\)
\(740\) 1.17201 0.851513i 0.0430838 0.0313022i
\(741\) 0.151804 + 0.141209i 0.00557664 + 0.00518745i
\(742\) 13.0350 4.23532i 0.478529 0.155483i
\(743\) −2.39114 −0.0877225 −0.0438613 0.999038i \(-0.513966\pi\)
−0.0438613 + 0.999038i \(0.513966\pi\)
\(744\) −0.857387 + 9.60546i −0.0314333 + 0.352153i
\(745\) 1.88471 0.0690503
\(746\) −9.34591 + 3.03667i −0.342178 + 0.111180i
\(747\) 16.6772 + 12.9635i 0.610187 + 0.474309i
\(748\) −3.79269 + 2.75555i −0.138674 + 0.100753i
\(749\) −32.8815 + 18.9842i −1.20146 + 0.693666i
\(750\) −1.57067 0.730058i −0.0573529 0.0266580i
\(751\) 4.20594 + 40.0168i 0.153477 + 1.46023i 0.752018 + 0.659143i \(0.229081\pi\)
−0.598541 + 0.801092i \(0.704253\pi\)
\(752\) −1.56983 + 2.16068i −0.0572457 + 0.0787920i
\(753\) −5.38255 0.0873069i −0.196151 0.00318164i
\(754\) −4.45365 + 4.94628i −0.162192 + 0.180133i
\(755\) −8.54617 3.80500i −0.311027 0.138478i
\(756\) 0.696077 + 12.4030i 0.0253161 + 0.451092i
\(757\) 1.68390 + 7.92213i 0.0612024 + 0.287935i 0.998096 0.0616801i \(-0.0196459\pi\)
−0.936894 + 0.349615i \(0.886313\pi\)
\(758\) −7.73063 17.3633i −0.280789 0.630663i
\(759\) 7.96323 + 1.82811i 0.289047 + 0.0663560i
\(760\) 0.0313037 0.0963429i 0.00113550 0.00349472i
\(761\) 19.8233 8.82588i 0.718593 0.319938i −0.0146617 0.999893i \(-0.504667\pi\)
0.733254 + 0.679954i \(0.238000\pi\)
\(762\) 6.92631 + 22.5553i 0.250914 + 0.817093i
\(763\) −12.1103 2.57412i −0.438422 0.0931895i
\(764\) 3.11557 6.99769i 0.112717 0.253168i
\(765\) 9.87284 + 6.13540i 0.356953 + 0.221826i
\(766\) 13.9352 + 1.46465i 0.503498 + 0.0529198i
\(767\) 9.23255 + 6.70784i 0.333368 + 0.242206i
\(768\) −1.69982 + 0.332589i −0.0613369 + 0.0120013i
\(769\) −0.776312 + 1.34461i −0.0279945 + 0.0484879i −0.879683 0.475560i \(-0.842245\pi\)
0.851689 + 0.524048i \(0.175579\pi\)
\(770\) −1.44629 2.50504i −0.0521206 0.0902755i
\(771\) −37.2470 + 32.4592i −1.34142 + 1.16899i
\(772\) 14.6211 + 16.2384i 0.526226 + 0.584434i
\(773\) 14.1794 +