Properties

Label 930.2.br.b.11.9
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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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 11.9
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.38456 - 1.04067i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.995214 + 1.41759i) q^{6} +(-0.249897 - 2.37761i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.834029 - 2.88173i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.38456 - 1.04067i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.995214 + 1.41759i) q^{6} +(-0.249897 - 2.37761i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.834029 - 2.88173i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-1.10532 - 0.492120i) q^{11} +(0.508447 - 1.65574i) q^{12} +(0.245675 + 1.15581i) q^{13} +(0.972390 + 2.18402i) q^{14} +(-0.678734 + 1.59352i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.53967 - 1.57596i) q^{17} +(0.0972966 + 2.99842i) q^{18} +(0.0990872 + 0.0210616i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-2.82030 - 3.03190i) q^{21} +(1.20329 + 0.126471i) q^{22} +(-3.15414 - 2.29162i) q^{23} +(0.0280908 + 1.73182i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.590815 - 1.02332i) q^{26} +(-1.84416 - 4.85789i) 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} +(-2.04252 + 0.468897i) q^{33} +(-2.87943 + 2.59265i) q^{34} +(1.40522 + 1.93413i) q^{35} +(-1.01910 - 2.82160i) q^{36} +(1.25459 + 0.724340i) q^{37} +(-0.100746 + 0.0105888i) q^{38} +(1.54296 + 1.34462i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-2.78603 - 2.50855i) q^{41} +(3.61917 + 2.01198i) q^{42} +(0.549332 - 2.58440i) q^{43} +(-1.18348 + 0.251557i) q^{44} +(0.718577 + 2.91267i) q^{45} +(3.70792 + 1.20478i) q^{46} +(2.54004 + 0.825307i) q^{47} +(-0.561879 - 1.63838i) q^{48} +(1.25643 - 0.267062i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(3.26084 - 5.86563i) q^{51} +(0.878122 + 0.790664i) q^{52} +(0.599254 - 5.70152i) q^{53} +(3.25507 + 4.05025i) q^{54} +(1.20329 - 0.126471i) q^{55} +(2.07042 + 1.19536i) q^{56} +(0.159111 - 0.0739555i) q^{57} +(3.31087 + 4.55702i) q^{58} +(-7.17722 + 6.46239i) q^{59} +(0.387543 + 1.68814i) 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} +(1.79765 - 1.07712i) q^{66} +(4.00396 + 6.93507i) q^{67} +(1.93732 - 3.35555i) q^{68} +(-6.75192 + 0.109519i) q^{69} +(-1.93413 - 1.40522i) q^{70} +(-10.6927 - 1.12385i) q^{71} +(1.84114 + 2.36858i) q^{72} +(-2.36384 + 5.30927i) q^{73} +(-1.41702 - 0.301198i) q^{74} +(-0.208962 - 1.71940i) q^{75} +(0.0925430 - 0.0412028i) q^{76} +(-0.893855 + 2.75100i) q^{77} +(-1.88296 - 0.802012i) q^{78} +(4.22491 + 9.48930i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-7.60879 - 4.80690i) q^{81} +(3.42485 + 1.52484i) q^{82} +(4.71135 - 5.23248i) q^{83} +(-4.06378 - 0.795125i) q^{84} +(-2.27746 + 3.13466i) q^{85} +(0.276179 + 2.62767i) q^{86} +(-7.98496 - 5.60583i) q^{87} +(1.04782 - 0.604961i) q^{88} +(4.63131 - 3.36485i) q^{89} +(-1.58347 - 2.54806i) q^{90} +(2.68667 - 0.872953i) q^{91} -3.89874 q^{92} +(-9.01765 + 3.41789i) q^{93} -2.67075 q^{94} +(-0.0963429 + 0.0313037i) q^{95} +(1.04067 + 1.38456i) q^{96} +(2.86853 - 2.08411i) q^{97} +(-1.11241 + 0.642250i) q^{98} +(-2.34003 + 2.77479i) 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
\(3\) 1.38456 1.04067i 0.799378 0.600829i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.995214 + 1.41759i −0.406294 + 0.578727i
\(7\) −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
\(9\) 0.834029 2.88173i 0.278010 0.960578i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −1.10532 0.492120i −0.333266 0.148380i 0.233280 0.972410i \(-0.425054\pi\)
−0.566546 + 0.824030i \(0.691721\pi\)
\(12\) 0.508447 1.65574i 0.146776 0.477972i
\(13\) 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
\(15\) −0.678734 + 1.59352i −0.175248 + 0.411446i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 3.53967 1.57596i 0.858496 0.382227i 0.0702070 0.997532i \(-0.477634\pi\)
0.788289 + 0.615306i \(0.210967\pi\)
\(18\) 0.0972966 + 2.99842i 0.0229330 + 0.706735i
\(19\) 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
\(21\) −2.82030 3.03190i −0.615440 0.661614i
\(22\) 1.20329 + 0.126471i 0.256543 + 0.0269638i
\(23\) −3.15414 2.29162i −0.657684 0.477836i 0.208196 0.978087i \(-0.433241\pi\)
−0.865880 + 0.500251i \(0.833241\pi\)
\(24\) 0.0280908 + 1.73182i 0.00573401 + 0.353507i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.590815 1.02332i −0.115868 0.200690i
\(27\) −1.84416 4.85789i −0.354908 0.934901i
\(28\) −1.59970 1.77664i −0.302315 0.335754i
\(29\) −1.74063 5.35710i −0.323227 0.994789i −0.972235 0.234008i \(-0.924816\pi\)
0.649008 0.760781i \(-0.275184\pi\)
\(30\) 0.153088 1.72527i 0.0279499 0.314990i
\(31\) −5.34746 1.55069i −0.960433 0.278512i
\(32\) 1.00000i 0.176777i
\(33\) −2.04252 + 0.468897i −0.355556 + 0.0816245i
\(34\) −2.87943 + 2.59265i −0.493817 + 0.444635i
\(35\) 1.40522 + 1.93413i 0.237526 + 0.326927i
\(36\) −1.01910 2.82160i −0.169850 0.470267i
\(37\) 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
\(39\) 1.54296 + 1.34462i 0.247072 + 0.215312i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −2.78603 2.50855i −0.435104 0.391770i 0.422264 0.906473i \(-0.361235\pi\)
−0.857368 + 0.514703i \(0.827902\pi\)
\(42\) 3.61917 + 2.01198i 0.558451 + 0.310456i
\(43\) 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
\(45\) 0.718577 + 2.91267i 0.107119 + 0.434195i
\(46\) 3.70792 + 1.20478i 0.546703 + 0.177634i
\(47\) 2.54004 + 0.825307i 0.370502 + 0.120383i 0.488349 0.872648i \(-0.337599\pi\)
−0.117847 + 0.993032i \(0.537599\pi\)
\(48\) −0.561879 1.63838i −0.0811002 0.236480i
\(49\) 1.25643 0.267062i 0.179490 0.0381518i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 3.26084 5.86563i 0.456609 0.821353i
\(52\) 0.878122 + 0.790664i 0.121774 + 0.109645i
\(53\) 0.599254 5.70152i 0.0823139 0.783164i −0.873030 0.487667i \(-0.837848\pi\)
0.955344 0.295497i \(-0.0954853\pi\)
\(54\) 3.25507 + 4.05025i 0.442959 + 0.551169i
\(55\) 1.20329 0.126471i 0.162252 0.0170534i
\(56\) 2.07042 + 1.19536i 0.276671 + 0.159736i
\(57\) 0.159111 0.0739555i 0.0210747 0.00979565i
\(58\) 3.31087 + 4.55702i 0.434739 + 0.598367i
\(59\) −7.17722 + 6.46239i −0.934394 + 0.841332i −0.987558 0.157254i \(-0.949736\pi\)
0.0531642 + 0.998586i \(0.483069\pi\)
\(60\) 0.387543 + 1.68814i 0.0500316 + 0.217938i
\(61\) 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
\(66\) 1.79765 1.07712i 0.221275 0.132584i
\(67\) 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
\(69\) −6.75192 + 0.109519i −0.812836 + 0.0131845i
\(70\) −1.93413 1.40522i −0.231172 0.167956i
\(71\) −10.6927 1.12385i −1.26899 0.133376i −0.554004 0.832514i \(-0.686901\pi\)
−0.714987 + 0.699138i \(0.753567\pi\)
\(72\) 1.84114 + 2.36858i 0.216981 + 0.279140i
\(73\) −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
\(75\) −0.208962 1.71940i −0.0241288 0.198539i
\(76\) 0.0925430 0.0412028i 0.0106154 0.00472628i
\(77\) −0.893855 + 2.75100i −0.101864 + 0.313506i
\(78\) −1.88296 0.802012i −0.213203 0.0908099i
\(79\) 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
\(81\) −7.60879 4.80690i −0.845421 0.534100i
\(82\) 3.42485 + 1.52484i 0.378212 + 0.168391i
\(83\) 4.71135 5.23248i 0.517138 0.574340i −0.426849 0.904323i \(-0.640376\pi\)
0.943987 + 0.329983i \(0.107043\pi\)
\(84\) −4.06378 0.795125i −0.443394 0.0867553i
\(85\) −2.27746 + 3.13466i −0.247025 + 0.340001i
\(86\) 0.276179 + 2.62767i 0.0297811 + 0.283349i
\(87\) −7.98496 5.60583i −0.856078 0.601008i
\(88\) 1.04782 0.604961i 0.111698 0.0644891i
\(89\) 4.63131 3.36485i 0.490918 0.356673i −0.314619 0.949218i \(-0.601877\pi\)
0.805537 + 0.592545i \(0.201877\pi\)
\(90\) −1.58347 2.54806i −0.166913 0.268589i
\(91\) 2.68667 0.872953i 0.281640 0.0915103i
\(92\) −3.89874 −0.406471
\(93\) −9.01765 + 3.41789i −0.935087 + 0.354419i
\(94\) −2.67075 −0.275467
\(95\) −0.0963429 + 0.0313037i −0.00988457 + 0.00321169i
\(96\) 1.04067 + 1.38456i 0.106213 + 0.141311i
\(97\) 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
\(99\) −2.34003 + 2.77479i −0.235181 + 0.278877i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 4.17324 5.74397i 0.415253 0.571547i −0.549237 0.835667i \(-0.685081\pi\)
0.964490 + 0.264120i \(0.0850815\pi\)
\(102\) −1.28867 + 6.58620i −0.127597 + 0.652131i
\(103\) 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
\(105\) 3.95840 + 1.21555i 0.386300 + 0.118625i
\(106\) 1.19194 + 5.60765i 0.115772 + 0.544663i
\(107\) 6.45963 + 14.5086i 0.624476 + 1.40260i 0.897684 + 0.440640i \(0.145249\pi\)
−0.273208 + 0.961955i \(0.588085\pi\)
\(108\) −4.34735 2.84615i −0.418324 0.273870i
\(109\) 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
\(111\) 2.49086 0.302719i 0.236422 0.0287328i
\(112\) −2.33847 0.497057i −0.220965 0.0469675i
\(113\) 4.98372 11.1936i 0.468829 1.05301i −0.512150 0.858896i \(-0.671151\pi\)
0.980979 0.194112i \(-0.0621825\pi\)
\(114\) −0.128470 + 0.119504i −0.0120323 + 0.0111926i
\(115\) 3.87738 + 0.407529i 0.361567 + 0.0380023i
\(116\) −4.55702 3.31087i −0.423109 0.307407i
\(117\) 3.53563 + 0.256008i 0.326869 + 0.0236680i
\(118\) 4.82895 8.36398i 0.444541 0.769967i
\(119\) −4.63158 8.02214i −0.424577 0.735388i
\(120\) −0.890239 1.48576i −0.0812673 0.135630i
\(121\) −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
\(126\) 7.10478 0.980632i 0.632944 0.0873616i
\(127\) −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
\(129\) −1.92892 4.14994i −0.169832 0.365382i
\(130\) 1.02332 + 0.590815i 0.0897512 + 0.0518179i
\(131\) 1.28517 0.135076i 0.112286 0.0118017i −0.0482190 0.998837i \(-0.515355\pi\)
0.160505 + 0.987035i \(0.448688\pi\)
\(132\) −1.37682 + 1.57991i −0.119837 + 0.137513i
\(133\) 0.0253148 0.240854i 0.00219507 0.0208847i
\(134\) −5.95105 5.35835i −0.514092 0.462891i
\(135\) 4.02603 + 3.28498i 0.346506 + 0.282726i
\(136\) −0.805585 + 3.78998i −0.0690783 + 0.324988i
\(137\) 9.30604 1.97806i 0.795069 0.168997i 0.207568 0.978221i \(-0.433445\pi\)
0.587501 + 0.809224i \(0.300112\pi\)
\(138\) 6.38761 2.19062i 0.543750 0.186478i
\(139\) 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
\(141\) 4.37571 1.50064i 0.368501 0.126377i
\(142\) 10.5167 2.23538i 0.882538 0.187589i
\(143\) 0.297247 1.39844i 0.0248570 0.116943i
\(144\) −2.48296 1.68371i −0.206914 0.140309i
\(145\) 4.18598 + 3.76907i 0.347627 + 0.313004i
\(146\) 0.607490 5.77988i 0.0502762 0.478346i
\(147\) 1.46168 1.67729i 0.120558 0.138340i
\(148\) 1.44074 0.151428i 0.118428 0.0124473i
\(149\) −1.63220 0.942354i −0.133715 0.0772006i 0.431650 0.902041i \(-0.357932\pi\)
−0.565365 + 0.824841i \(0.691265\pi\)
\(150\) 0.730058 + 1.57067i 0.0596090 + 0.128245i
\(151\) −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
\(153\) −1.58932 11.5148i −0.128489 0.930915i
\(154\) 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
\(159\) −5.10367 8.51774i −0.404748 0.675500i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −4.66038 + 8.07201i −0.367289 + 0.636163i
\(162\) 8.72180 + 2.22039i 0.685250 + 0.174450i
\(163\) 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
\(165\) 1.53442 1.42733i 0.119455 0.111118i
\(166\) −2.86383 + 6.43227i −0.222277 + 0.499241i
\(167\) −2.65771 0.564914i −0.205660 0.0437144i 0.103930 0.994585i \(-0.466858\pi\)
−0.309590 + 0.950870i \(0.600192\pi\)
\(168\) 4.11059 0.499567i 0.317139 0.0385424i
\(169\) 10.6006 4.71967i 0.815427 0.363052i
\(170\) 1.19733 3.68501i 0.0918312 0.282627i
\(171\) 0.143336 0.267977i 0.0109612 0.0204927i
\(172\) −1.07466 2.41372i −0.0819417 0.184044i
\(173\) 0.596310 + 2.80542i 0.0453366 + 0.213292i 0.994985 0.100026i \(-0.0318927\pi\)
−0.949648 + 0.313318i \(0.898559\pi\)
\(174\) 9.32645 + 2.86397i 0.707036 + 0.217117i
\(175\) −2.18402 0.972390i −0.165097 0.0735058i
\(176\) −0.809596 + 0.899147i −0.0610256 + 0.0677758i
\(177\) −3.21211 + 16.4167i −0.241437 + 1.23395i
\(178\) −3.36485 + 4.63131i −0.252206 + 0.347132i
\(179\) −0.861720 8.19872i −0.0644080 0.612801i −0.978350 0.206957i \(-0.933644\pi\)
0.913942 0.405845i \(-0.133023\pi\)
\(180\) 2.29337 + 1.93403i 0.170937 + 0.144154i
\(181\) 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
\(183\) −11.8598 15.7790i −0.876701 1.16641i
\(184\) 3.70792 1.20478i 0.273351 0.0888172i
\(185\) −1.44868 −0.106509
\(186\) 7.52011 6.03722i 0.551401 0.442670i
\(187\) −4.68802 −0.342822
\(188\) 2.54004 0.825307i 0.185251 0.0601917i
\(189\) −11.0893 + 5.59867i −0.806631 + 0.407243i
\(190\) 0.0819541 0.0595432i 0.00594558 0.00431972i
\(191\) −6.63369 + 3.82996i −0.479997 + 0.277126i −0.720415 0.693543i \(-0.756049\pi\)
0.240418 + 0.970669i \(0.422715\pi\)
\(192\) −1.41759 0.995214i −0.102305 0.0718234i
\(193\) 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
\(195\) −2.00856 0.392997i −0.143836 0.0281431i
\(196\) 0.859498 0.954569i 0.0613927 0.0681835i
\(197\) 13.7483 + 6.12112i 0.979524 + 0.436112i 0.833108 0.553111i \(-0.186559\pi\)
0.146416 + 0.989223i \(0.453226\pi\)
\(198\) 1.36804 3.36209i 0.0972222 0.238934i
\(199\) 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
\(201\) 12.7608 + 5.43525i 0.900079 + 0.383373i
\(202\) −2.19400 + 6.75245i −0.154370 + 0.475100i
\(203\) −12.3021 + 5.47727i −0.863442 + 0.384429i
\(204\) −0.809653 6.66207i −0.0566871 0.466438i
\(205\) 3.66705 + 0.779455i 0.256118 + 0.0544395i
\(206\) −3.37131 + 7.57209i −0.234890 + 0.527572i
\(207\) −9.23449 + 7.17813i −0.641841 + 0.498914i
\(208\) 1.17516 + 0.123514i 0.0814824 + 0.00856415i
\(209\) −0.0991581 0.0720426i −0.00685891 0.00498329i
\(210\) −4.14029 + 0.0671570i −0.285707 + 0.00463427i
\(211\) −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
\(213\) −15.9743 + 9.57150i −1.09454 + 0.655828i
\(214\) −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
\(219\) 2.25229 + 9.81098i 0.152196 + 0.662964i
\(220\) 0.899147 0.809596i 0.0606205 0.0545829i
\(221\) 2.69112 + 3.70400i 0.181024 + 0.249158i
\(222\) −2.27540 + 1.05762i −0.152715 + 0.0709829i
\(223\) 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
\(225\) −2.07864 2.16316i −0.138576 0.144211i
\(226\) −1.28078 + 12.1858i −0.0851963 + 0.810589i
\(227\) 16.4788 + 14.8376i 1.09374 + 0.984805i 0.999942 0.0107864i \(-0.00343347\pi\)
0.0937951 + 0.995592i \(0.470100\pi\)
\(228\) 0.0852532 0.153354i 0.00564603 0.0101561i
\(229\) −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
\(231\) 1.62528 + 4.73914i 0.106935 + 0.311812i
\(232\) 5.35710 + 1.74063i 0.351711 + 0.114278i
\(233\) 3.65792 + 1.18853i 0.239638 + 0.0778631i 0.426374 0.904547i \(-0.359791\pi\)
−0.186736 + 0.982410i \(0.559791\pi\)
\(234\) −3.44170 + 0.849092i −0.224991 + 0.0555069i
\(235\) −2.61239 + 0.555280i −0.170413 + 0.0362225i
\(236\) −2.00799 + 9.44685i −0.130709 + 0.614938i
\(237\) 15.7249 + 8.74182i 1.02144 + 0.567842i
\(238\) 6.88388 + 6.19827i 0.446215 + 0.401774i
\(239\) 0.622640 5.92403i 0.0402753 0.383194i −0.955754 0.294167i \(-0.904958\pi\)
0.996029 0.0890264i \(-0.0283756\pi\)
\(240\) 1.30579 + 1.13794i 0.0842885 + 0.0734537i
\(241\) −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
\(243\) −15.5372 + 1.26276i −0.996714 + 0.0810059i
\(244\) −6.69861 9.21984i −0.428834 0.590240i
\(245\) −0.954569 + 0.859498i −0.0609852 + 0.0549113i
\(246\) 6.32878 1.45289i 0.403508 0.0926327i
\(247\) 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 0.805195 0.593010i \(-0.202061\pi\)
−0.673927 + 0.738798i \(0.735394\pi\)
\(252\) −6.45401 + 3.12813i −0.406565 + 0.197054i
\(253\) 2.35858 + 4.08519i 0.148283 + 0.256833i
\(254\) 6.81124 11.7974i 0.427375 0.740236i
\(255\) 0.108842 + 6.71021i 0.00681595 + 0.420209i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 28.3682 + 2.98162i 1.76956 + 0.185988i 0.932512 0.361139i \(-0.117612\pi\)
0.837050 + 0.547127i \(0.184279\pi\)
\(258\) 3.11691 + 3.35076i 0.194050 + 0.208609i
\(259\) 1.40868 3.16395i 0.0875312 0.196598i
\(260\) −1.15581 0.245675i −0.0716802 0.0152361i
\(261\) −16.8895 + 0.548051i −1.04543 + 0.0339235i
\(262\) −1.18053 + 0.525604i −0.0729331 + 0.0324719i
\(263\) −5.09252 + 15.6732i −0.314018 + 0.966449i 0.662138 + 0.749382i \(0.269649\pi\)
−0.976157 + 0.217068i \(0.930351\pi\)
\(264\) 0.821215 1.92804i 0.0505423 0.118663i
\(265\) 2.33179 + 5.23729i 0.143241 + 0.321724i
\(266\) 0.0503523 + 0.236889i 0.00308730 + 0.0145246i
\(267\) 2.91066 9.47849i 0.178130 0.580074i
\(268\) 7.31560 + 3.25712i 0.446872 + 0.198960i
\(269\) −5.37081 + 5.96489i −0.327464 + 0.363686i −0.884286 0.466946i \(-0.845354\pi\)
0.556821 + 0.830632i \(0.312021\pi\)
\(270\) −4.84410 1.88009i −0.294802 0.114418i
\(271\) 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
\(273\) 2.81142 4.00459i 0.170155 0.242369i
\(274\) −8.23932 + 4.75697i −0.497755 + 0.287379i
\(275\) −0.978847 + 0.711174i −0.0590267 + 0.0428854i
\(276\) −5.39805 + 4.05728i −0.324924 + 0.244220i
\(277\) 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
\(279\) −8.92862 + 14.1166i −0.534543 + 0.845142i
\(280\) −2.39071 −0.142872
\(281\) 1.64265 0.533730i 0.0979925 0.0318397i −0.259610 0.965713i \(-0.583594\pi\)
0.357603 + 0.933874i \(0.383594\pi\)
\(282\) −3.69782 + 2.77936i −0.220202 + 0.165508i
\(283\) −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
\(285\) −0.100816 + 0.143603i −0.00597183 + 0.00850629i
\(286\) 0.149442 + 1.42185i 0.00883670 + 0.0840756i
\(287\) −5.26815 + 7.25098i −0.310969 + 0.428012i
\(288\) 2.88173 + 0.834029i 0.169808 + 0.0491456i
\(289\) −1.32962 + 1.47670i −0.0782131 + 0.0868645i
\(290\) −5.14581 2.29106i −0.302172 0.134536i
\(291\) 1.80280 5.87077i 0.105682 0.344151i
\(292\) 1.20832 + 5.68471i 0.0707118 + 0.332673i
\(293\) 5.83737 + 13.1109i 0.341023 + 0.765950i 0.999906 + 0.0137045i \(0.00436242\pi\)
−0.658883 + 0.752245i \(0.728971\pi\)
\(294\) −0.871833 + 2.04688i −0.0508463 + 0.119377i
\(295\) 2.98445 9.18521i 0.173762 0.534783i
\(296\) −1.32344 + 0.589231i −0.0769231 + 0.0342484i
\(297\) −0.352280 + 6.27706i −0.0204413 + 0.364232i
\(298\) 1.84352 + 0.391853i 0.106792 + 0.0226994i
\(299\) 1.87378 4.20858i 0.108363 0.243388i
\(300\) −1.17969 1.26820i −0.0681095 0.0732195i
\(301\) −6.28200 0.660264i −0.362088 0.0380570i
\(302\) 7.56831 + 5.49870i 0.435508 + 0.316415i
\(303\) −0.199443 12.2958i −0.0114577 0.706378i
\(304\) 0.0506504 0.0877291i 0.00290500 0.00503161i
\(305\) 5.69818 + 9.86953i 0.326277 + 0.565128i
\(306\) 5.06980 + 10.4601i 0.289821 + 0.597963i
\(307\) −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 \(-0.887320\pi\)
0.937996 0.346647i \(-0.112680\pi\)
\(312\) −1.99475 + 0.457932i −0.112931 + 0.0259253i
\(313\) −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
\(315\) 6.74564 2.43637i 0.380074 0.137274i
\(316\) 8.99570 + 5.19367i 0.506048 + 0.292167i
\(317\) 18.7212 1.96767i 1.05148 0.110515i 0.437014 0.899455i \(-0.356036\pi\)
0.614471 + 0.788939i \(0.289369\pi\)
\(318\) 7.48601 + 6.52373i 0.419794 + 0.365832i
\(319\) −0.712386 + 6.77790i −0.0398860 + 0.379490i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 24.0423 + 13.3657i 1.34191 + 0.746000i
\(322\) 1.93789 9.11707i 0.107995 0.508075i
\(323\) 0.383928 0.0816065i 0.0213623 0.00454071i
\(324\) −8.98107 + 0.583472i −0.498948 + 0.0324151i
\(325\) 1.12380 + 0.365144i 0.0623370 + 0.0202545i
\(326\) −15.6564 5.08707i −0.867127 0.281747i
\(327\) −2.90982 8.48473i −0.160913 0.469207i
\(328\) 3.66705 0.779455i 0.202479 0.0430382i
\(329\) 1.32752 6.24547i 0.0731883 0.344324i
\(330\) −1.01825 + 1.83164i −0.0560529 + 0.100828i
\(331\) 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
\(333\) 3.13372 3.01129i 0.171727 0.165017i
\(334\) 2.70220 0.284013i 0.147858 0.0155405i
\(335\) −6.93507 4.00396i −0.378903 0.218760i
\(336\) −3.75503 + 1.74536i −0.204854 + 0.0952171i
\(337\) −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
\(339\) −4.74855 20.6847i −0.257906 1.12344i
\(340\) 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
\(345\) 5.79258 3.47081i 0.311862 0.186862i
\(346\) −1.43405 2.48384i −0.0770948 0.133532i
\(347\) −9.62366 + 16.6687i −0.516625 + 0.894821i 0.483188 + 0.875516i \(0.339479\pi\)
−0.999814 + 0.0193048i \(0.993855\pi\)
\(348\) −9.75500 + 0.158230i −0.522923 + 0.00848200i
\(349\) 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
\(351\) 5.16172 3.32495i 0.275512 0.177473i
\(352\) 0.492120 1.10532i 0.0262301 0.0589137i
\(353\) 25.7648 + 5.47648i 1.37132 + 0.291484i 0.833940 0.551855i \(-0.186080\pi\)
0.537382 + 0.843339i \(0.319413\pi\)
\(354\) −2.01813 16.6058i −0.107262 0.882588i
\(355\) 9.82208 4.37307i 0.521302 0.232099i
\(356\) 1.76900 5.44444i 0.0937571 0.288555i
\(357\) −14.7611 6.28722i −0.781240 0.332755i
\(358\) 3.35309 + 7.53116i 0.177216 + 0.398034i
\(359\) −6.70560 31.5474i −0.353908 1.66501i −0.690482 0.723349i \(-0.742602\pi\)
0.336574 0.941657i \(-0.390732\pi\)
\(360\) −2.77877 1.13068i −0.146454 0.0595922i
\(361\) −17.3480 7.72382i −0.913052 0.406517i
\(362\) −4.82747 + 5.36145i −0.253726 + 0.281792i
\(363\) −16.2096 3.17160i −0.850785 0.166466i
\(364\) 1.66046 2.28542i 0.0870315 0.119789i
\(365\) −0.607490 5.77988i −0.0317975 0.302533i
\(366\) 16.1553 + 11.3418i 0.844451 + 0.592846i
\(367\) 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
\(369\) −9.55260 + 5.93639i −0.497289 + 0.309036i
\(370\) 1.37778 0.447667i 0.0716272 0.0232731i
\(371\) −13.7058 −0.711568
\(372\) −5.28645 + 8.06557i −0.274089 + 0.418181i
\(373\) −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
\(375\) 1.04067 + 1.38456i 0.0537398 + 0.0714985i
\(376\) −2.16068 + 1.56983i −0.111429 + 0.0809577i
\(377\) 5.76415 3.32794i 0.296869 0.171397i
\(378\) 8.81650 8.75145i 0.453472 0.450126i
\(379\) −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
\(381\) −4.53069 + 23.1558i −0.232114 + 1.18631i
\(382\) 5.12549 5.69243i 0.262243 0.291250i
\(383\) −12.8005 5.69917i −0.654077 0.291214i 0.0527421 0.998608i \(-0.483204\pi\)
−0.706819 + 0.707394i \(0.749871\pi\)
\(384\) 1.65574 + 0.508447i 0.0844942 + 0.0259466i
\(385\) −0.601400 2.82936i −0.0306502 0.144198i
\(386\) −8.88758 19.9618i −0.452366 1.01603i
\(387\) −6.98941 3.73850i −0.355292 0.190039i
\(388\) 1.09568 3.37216i 0.0556249 0.171196i
\(389\) 24.7962 11.0400i 1.25722 0.559750i 0.333474 0.942759i \(-0.391779\pi\)
0.923744 + 0.383010i \(0.125112\pi\)
\(390\) 2.03169 0.246915i 0.102879 0.0125030i
\(391\) −14.7761 3.14076i −0.747261 0.158835i
\(392\) −0.522453 + 1.17345i −0.0263879 + 0.0592681i
\(393\) 1.63882 1.52445i 0.0826678 0.0768984i
\(394\) −14.9669 1.57309i −0.754022 0.0792509i
\(395\) −8.40353 6.10552i −0.422828 0.307202i
\(396\) −0.262138 + 3.62029i −0.0131729 + 0.181926i
\(397\) 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
\(399\) −0.215599 0.359822i −0.0107935 0.0180137i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 6.80493 + 20.9434i 0.339822 + 1.04586i 0.964298 + 0.264820i \(0.0853126\pi\)
−0.624476 + 0.781044i \(0.714687\pi\)
\(402\) −13.8159 1.22592i −0.689072 0.0611431i
\(403\) 0.478567 6.56161i 0.0238391 0.326857i
\(404\) 7.09994i 0.353235i
\(405\) 8.99286 + 0.358501i 0.446859 + 0.0178141i
\(406\) 10.0075 9.01077i 0.496662 0.447197i
\(407\) −1.03026 1.41804i −0.0510683 0.0702895i
\(408\) 2.82872 + 6.08581i 0.140042 + 0.301292i
\(409\) −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
\(411\) 10.8263 12.4232i 0.534022 0.612793i
\(412\) 0.866403 8.24328i 0.0426846 0.406117i
\(413\) 17.1587 + 15.4497i 0.844322 + 0.760231i
\(414\) 6.56435 9.68042i 0.322620 0.475767i
\(415\) −1.46391 + 6.88714i −0.0718603 + 0.338076i
\(416\) −1.15581 + 0.245675i −0.0566682 + 0.0120452i
\(417\) 24.0266 8.23985i 1.17659 0.403507i
\(418\) 0.116567 + 0.0378750i 0.00570150 + 0.00185253i
\(419\) 20.0618 + 6.51848i 0.980084 + 0.318449i 0.754880 0.655863i \(-0.227695\pi\)
0.225204 + 0.974312i \(0.427695\pi\)
\(420\) 3.91690 1.34329i 0.191125 0.0655458i
\(421\) 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
\(423\) 4.49678 6.63138i 0.218641 0.322429i
\(424\) 4.26039 + 3.83608i 0.206903 + 0.186296i
\(425\) 0.405011 3.85342i 0.0196459 0.186919i
\(426\) 12.2347 14.0394i 0.592772 0.680209i
\(427\) −27.0961 + 2.84792i −1.31127 + 0.137820i
\(428\) 13.7539 + 7.94080i 0.664818 + 0.383833i
\(429\) −1.04375 2.24556i −0.0503927 0.108417i
\(430\) −1.55301 2.13754i −0.0748929 0.103081i
\(431\) −20.2822 + 18.2622i −0.976958 + 0.879657i −0.992747 0.120218i \(-0.961641\pi\)
0.0157892 + 0.999875i \(0.494974\pi\)
\(432\) −5.19000 + 0.252729i −0.249704 + 0.0121594i
\(433\) 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
\(438\) −5.17381 8.63480i −0.247214 0.412587i
\(439\) 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
\(441\) 0.278296 3.84344i 0.0132522 0.183021i
\(442\) −3.70400 2.69112i −0.176181 0.128003i
\(443\) 4.45924 + 0.468685i 0.211865 + 0.0222679i 0.209866 0.977730i \(-0.432697\pi\)
0.00199861 + 0.999998i \(0.499364\pi\)
\(444\) 1.83721 1.70900i 0.0871904 0.0811053i
\(445\) −2.32841 + 5.22970i −0.110377 + 0.247912i
\(446\) −8.40777 1.78713i −0.398120 0.0846229i
\(447\) −3.24056 + 0.393832i −0.153273 + 0.0186276i
\(448\) −2.18402 + 0.972390i −0.103185 + 0.0459411i
\(449\) −7.55873 + 23.2634i −0.356718 + 1.09787i 0.598288 + 0.801281i \(0.295848\pi\)
−0.955006 + 0.296585i \(0.904152\pi\)
\(450\) 2.64536 + 1.41495i 0.124703 + 0.0667014i
\(451\) 1.84494 + 4.14381i 0.0868749 + 0.195124i
\(452\) −2.54753 11.9852i −0.119826 0.563736i
\(453\) −15.4894 4.75649i −0.727755 0.223480i
\(454\) −20.2573 9.01915i −0.950724 0.423290i
\(455\) −1.89025 + 2.09934i −0.0886163 + 0.0984184i
\(456\) −0.0336916 + 0.172193i −0.00157775 + 0.00806368i
\(457\) 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
\(459\) −14.1836 14.2890i −0.662032 0.666953i
\(460\) 3.37640 1.94937i 0.157426 0.0908898i
\(461\) −6.00865 + 4.36554i −0.279851 + 0.203323i −0.718852 0.695163i \(-0.755332\pi\)
0.439002 + 0.898486i \(0.355332\pi\)
\(462\) −3.01020 4.00495i −0.140047 0.186327i
\(463\) 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
\(465\) 6.10057 7.46881i 0.282907 0.346358i
\(466\) −3.84616 −0.178170
\(467\) 31.9309 10.3750i 1.47758 0.480096i 0.544194 0.838959i \(-0.316835\pi\)
0.933390 + 0.358863i \(0.116835\pi\)
\(468\) 3.01086 1.87108i 0.139177 0.0864906i
\(469\) 15.4883 11.2529i 0.715185 0.519612i
\(470\) 2.31294 1.33538i 0.106688 0.0615963i
\(471\) 14.7874 + 10.3815i 0.681367 + 0.478353i
\(472\) −1.00953 9.60499i −0.0464672 0.442106i
\(473\) −1.87902 + 2.58625i −0.0863976 + 0.118916i
\(474\) −17.6566 3.45472i −0.810994 0.158680i
\(475\) 0.0677835 0.0752812i 0.00311012 0.00345414i
\(476\) −8.46233 3.76767i −0.387870 0.172691i
\(477\) −15.9305 6.48212i −0.729406 0.296796i
\(478\) 1.23846 + 5.82649i 0.0566458 + 0.266498i
\(479\) 0.359545 + 0.807552i 0.0164280 + 0.0368980i 0.921573 0.388205i \(-0.126905\pi\)
−0.905145 + 0.425103i \(0.860238\pi\)
\(480\) −1.59352 0.678734i −0.0727341 0.0309798i
\(481\) −0.528976 + 1.62802i −0.0241192 + 0.0742314i
\(482\) 19.0145 8.46581i 0.866088 0.385607i
\(483\) 1.94768 + 16.0261i 0.0886225 + 0.729213i
\(484\) −9.32770 1.98266i −0.423986 0.0901211i
\(485\) −1.44217 + 3.23916i −0.0654854 + 0.147083i
\(486\) 14.3866 6.00222i 0.652588 0.272266i
\(487\) −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
\(489\) 28.5094 0.462433i 1.28924 0.0209120i
\(490\) 0.642250 1.11241i 0.0290139 0.0502535i
\(491\) −18.1512 31.4388i −0.819151 1.41881i −0.906309 0.422617i \(-0.861112\pi\)
0.0871575 0.996195i \(-0.472222\pi\)
\(492\) −5.57006 + 3.33748i −0.251118 + 0.150465i
\(493\) −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
\(498\) 2.72869 + 11.8862i 0.122276 + 0.532633i
\(499\) −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
\(501\) −4.26766 + 1.98363i −0.190665 + 0.0886221i
\(502\) −2.69163 1.55401i −0.120133 0.0693590i
\(503\) −35.8585 + 3.76888i −1.59885 + 0.168046i −0.861606 0.507578i \(-0.830541\pi\)
−0.737246 + 0.675624i \(0.763874\pi\)
\(504\) 5.17149 4.96943i 0.230356 0.221356i
\(505\) −0.742146 + 7.06105i −0.0330251 + 0.314213i
\(506\) −3.50554 3.15640i −0.155840 0.140319i
\(507\) 9.76553 17.5663i 0.433703 0.780148i
\(508\) −2.83227 + 13.3248i −0.125662 + 0.591192i
\(509\) −15.0848 + 3.20636i −0.668620 + 0.142120i −0.529701 0.848184i \(-0.677696\pi\)
−0.138919 + 0.990304i \(0.544363\pi\)
\(510\) −2.17708 6.34815i −0.0964029 0.281101i
\(511\) 13.2141 + 4.29352i 0.584558 + 0.189934i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −0.0804174 0.520196i −0.00355052 0.0229672i
\(514\) −27.9012 + 5.93058i −1.23067 + 0.261586i
\(515\) −1.72331 + 8.10756i −0.0759383 + 0.357262i
\(516\) −3.99980 2.22358i −0.176081 0.0978879i
\(517\) −2.40140 2.16223i −0.105613 0.0950947i
\(518\) −0.362021 + 3.44440i −0.0159063 + 0.151338i
\(519\) 3.74513 + 3.26372i 0.164393 + 0.143261i
\(520\) 1.17516 0.123514i 0.0515340 0.00541644i
\(521\) 7.30055 + 4.21497i 0.319843 + 0.184661i 0.651323 0.758801i \(-0.274214\pi\)
−0.331480 + 0.943462i \(0.607548\pi\)
\(522\) 15.8935 5.74037i 0.695639 0.251249i
\(523\) −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
\(525\) −4.03585 + 0.926504i −0.176139 + 0.0404359i
\(526\) 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
\(531\) 12.6369 + 26.0727i 0.548395 + 1.13146i
\(532\) −0.121091 0.209735i −0.00524994 0.00909317i
\(533\) 2.21495 3.83640i 0.0959400 0.166173i
\(534\) 0.160809 + 9.91403i 0.00695889 + 0.429022i
\(535\) −12.8485 9.33497i −0.555488 0.403586i
\(536\) −7.96406 0.837056i −0.343995 0.0361553i
\(537\) −9.72524 10.4549i −0.419675 0.451161i
\(538\) 3.26469 7.33262i 0.140751 0.316132i
\(539\) −1.52018 0.323125i −0.0654789 0.0139180i
\(540\) 5.18799 + 0.291159i 0.223255 + 0.0125295i
\(541\) −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
\(543\) 4.89675 11.4966i 0.210140 0.493364i
\(544\) 1.57596 + 3.53967i 0.0675688 + 0.151762i
\(545\) 1.07672 + 5.06556i 0.0461216 + 0.216985i
\(546\) −1.43633 + 4.67736i −0.0614692 + 0.200173i
\(547\) −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
\(549\) −32.8413 9.50489i −1.40163 0.405659i
\(550\) 0.711174 0.978847i 0.0303246 0.0417382i
\(551\) −0.0596446 0.567481i −0.00254095 0.0241755i
\(552\) 3.88008 5.52679i 0.165147 0.235236i
\(553\) 21.5061 12.4166i 0.914533 0.528006i
\(554\) −3.07492 + 2.23406i −0.130641 + 0.0949162i
\(555\) −2.00579 + 1.50759i −0.0851410 + 0.0639937i
\(556\) 13.9471 4.53168i 0.591488 0.192186i
\(557\) 17.2905 0.732622 0.366311 0.930493i \(-0.380621\pi\)
0.366311 + 0.930493i \(0.380621\pi\)
\(558\) 4.12934 16.1848i 0.174809 0.685158i
\(559\) 3.12203 0.132048
\(560\) 2.27370 0.738770i 0.0960814 0.0312187i
\(561\) −6.49086 + 4.87867i −0.274044 + 0.205977i
\(562\) −1.39732 + 1.01522i −0.0589426 + 0.0428243i
\(563\) 17.2892 9.98194i 0.728654 0.420689i −0.0892754 0.996007i \(-0.528455\pi\)
0.817930 + 0.575318i \(0.195122\pi\)
\(564\) 2.65797 3.78602i 0.111921 0.159420i
\(565\) 1.28078 + 12.1858i 0.0538829 + 0.512662i
\(566\) 7.69052 10.5851i 0.323257 0.444925i
\(567\) −9.52754 + 19.2920i −0.400119 + 0.810188i
\(568\) 7.19423 7.99000i 0.301863 0.335253i
\(569\) 28.9104 + 12.8718i 1.21199 + 0.539612i 0.910361 0.413814i \(-0.135804\pi\)
0.301627 + 0.953426i \(0.402470\pi\)
\(570\) 0.0515061 0.167728i 0.00215735 0.00702536i
\(571\) 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
\(573\) −5.19905 + 12.2063i −0.217193 + 0.509925i
\(574\) 2.76963 8.52404i 0.115602 0.355787i
\(575\) −3.56167 + 1.58576i −0.148532 + 0.0661307i
\(576\) −2.99842 + 0.0972966i −0.124934 + 0.00405402i
\(577\) 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
\(579\) 25.7774 + 27.7114i 1.07127 + 1.15164i
\(580\) 5.60193 + 0.588787i 0.232608 + 0.0244480i
\(581\) −13.6182 9.89419i −0.564977 0.410480i
\(582\) 0.0996016 + 6.14053i 0.00412862 + 0.254533i
\(583\) −3.46820 + 6.00709i −0.143638 + 0.248788i
\(584\) −2.90586 5.03309i −0.120245 0.208271i
\(585\) −3.18995 + 1.54611i −0.131888 + 0.0639236i
\(586\) −9.60317 10.6654i −0.396703 0.440584i
\(587\) −11.4050 35.1008i −0.470733 1.44877i −0.851627 0.524148i \(-0.824384\pi\)
0.380894 0.924619i \(-0.375616\pi\)
\(588\) 0.196641 2.21611i 0.00810935 0.0913909i
\(589\) −0.497205 0.266280i −0.0204870 0.0109719i
\(590\) 9.65790i 0.397609i
\(591\) 25.4054 5.83228i 1.04504 0.239908i
\(592\) 1.07658 0.969356i 0.0442471 0.0398403i
\(593\) 17.7308 + 24.4044i 0.728119 + 1.00217i 0.999215 + 0.0396171i \(0.0126138\pi\)
−0.271096 + 0.962552i \(0.587386\pi\)
\(594\) −1.60468 6.07870i −0.0658408 0.249412i
\(595\) 8.02214 + 4.63158i 0.328876 + 0.189876i
\(596\) −1.87438 + 0.197006i −0.0767777 + 0.00806966i
\(597\) 25.7899 + 22.4747i 1.05551 + 0.919829i
\(598\) −0.481548 + 4.58162i −0.0196920 + 0.187357i
\(599\) 16.8780 + 15.1970i 0.689616 + 0.620933i 0.937553 0.347843i \(-0.113086\pi\)
−0.247936 + 0.968776i \(0.579752\pi\)
\(600\) 1.51385 + 0.841584i 0.0618026 + 0.0343575i
\(601\) 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
\(603\) 23.3244 5.75431i 0.949845 0.234334i
\(604\) −8.89709 2.89084i −0.362017 0.117627i
\(605\) 9.06936 + 2.94681i 0.368722 + 0.119805i
\(606\) 3.98931 + 11.6324i 0.162054 + 0.472534i
\(607\) −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
\(609\) −11.3331 + 20.3860i −0.459240 + 0.826084i
\(610\) −8.46914 7.62565i −0.342906 0.308754i
\(611\) −0.329875 + 3.13855i −0.0133453 + 0.126972i
\(612\) −8.05401 8.38148i −0.325564 0.338801i
\(613\) 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
\(615\) 5.88841 2.73697i 0.237444 0.110365i
\(616\) −1.70021 2.34014i −0.0685035 0.0942870i
\(617\) −7.08510 + 6.37945i −0.285235 + 0.256827i −0.799311 0.600918i \(-0.794802\pi\)
0.514075 + 0.857745i \(0.328135\pi\)
\(618\) 3.21222 + 13.9924i 0.129215 + 0.562859i
\(619\) 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
\(624\) 1.75561 1.05193i 0.0702808 0.0421110i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 4.31252 7.46951i 0.172363 0.298542i
\(627\) −0.212263 + 0.00344298i −0.00847696 + 0.000137499i
\(628\) 8.43917 + 6.13142i 0.336760 + 0.244670i
\(629\) 5.58238 + 0.586732i 0.222584 + 0.0233945i
\(630\) −5.66260 + 4.40164i −0.225603 + 0.175366i
\(631\) 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
\(633\) 0.424283 + 3.49113i 0.0168637 + 0.138760i
\(634\) −17.1968 + 7.65652i −0.682973 + 0.304079i
\(635\) 4.20958 12.9558i 0.167052 0.514133i
\(636\) −9.13556 3.89113i −0.362248 0.154293i
\(637\) 0.617346 + 1.38658i 0.0244601 + 0.0549383i
\(638\) −1.41697 6.66631i −0.0560983 0.263922i
\(639\) −12.1567 + 29.8762i −0.480910 + 1.18189i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 19.2340 21.3615i 0.759696 0.843728i −0.231948 0.972728i \(-0.574510\pi\)
0.991645 + 0.129000i \(0.0411767\pi\)
\(642\) −26.9958 5.28205i −1.06544 0.208466i
\(643\) 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
\(645\) 3.74546 + 2.62950i 0.147477 + 0.103536i
\(646\) −0.339920 + 0.196253i −0.0133740 + 0.00772146i
\(647\) −17.5864 + 12.7773i −0.691394 + 0.502327i −0.877118 0.480275i \(-0.840537\pi\)
0.185724 + 0.982602i \(0.440537\pi\)
\(648\) 8.36120 3.33022i 0.328459 0.130823i
\(649\) 11.1134 3.61096i 0.436238 0.141742i
\(650\) −1.18163 −0.0463473
\(651\) 10.3799 + 20.5864i 0.406821 + 0.806844i
\(652\) 16.4621 0.644705
\(653\) −39.0457 + 12.6867i −1.52798 + 0.496469i −0.948029 0.318185i \(-0.896927\pi\)
−0.579947 + 0.814654i \(0.696927\pi\)
\(654\) 5.38933 + 7.17028i 0.210739 + 0.280380i
\(655\) −1.04545 + 0.759563i −0.0408491 + 0.0296786i
\(656\) −3.24670 + 1.87448i −0.126762 + 0.0731863i
\(657\) 13.3284 + 11.2400i 0.519990 + 0.438515i
\(658\) 0.667414 + 6.35002i 0.0260185 + 0.247549i
\(659\) −3.20807 + 4.41553i −0.124969 + 0.172005i −0.866917 0.498452i \(-0.833902\pi\)
0.741948 + 0.670457i \(0.233902\pi\)
\(660\) 0.402407 2.05665i 0.0156637 0.0800549i
\(661\) −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
\(663\) 7.58065 + 2.32787i 0.294408 + 0.0904071i
\(664\) 1.46391 + 6.88714i 0.0568106 + 0.267273i
\(665\) 0.0985040 + 0.221244i 0.00381982 + 0.00857946i
\(666\) −2.04981 + 3.83228i −0.0794285 + 0.148498i
\(667\) −6.78625 + 20.8859i −0.262765 + 0.808706i
\(668\) −2.48218 + 1.10514i −0.0960386 + 0.0427591i
\(669\) 14.7793 1.79615i 0.571400 0.0694433i
\(670\) 7.83293 + 1.66494i 0.302613 + 0.0643223i
\(671\) −5.60837 + 12.5966i −0.216509 + 0.486286i
\(672\) 3.03190 2.82030i 0.116958 0.108795i
\(673\) −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
\(675\) −5.12913 0.831856i −0.197420 0.0320182i
\(676\) 5.80188 10.0491i 0.223149 0.386506i
\(677\) −3.20458 5.55050i −0.123162 0.213323i 0.797851 0.602855i \(-0.205970\pi\)
−0.921013 + 0.389532i \(0.872637\pi\)
\(678\) 10.9081 + 18.2049i 0.418921 + 0.699155i
\(679\) −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 \(-0.926187\pi\)
0.973233 0.229819i \(-0.0738134\pi\)
\(684\) −0.0415520 0.301049i −0.00158878 0.0115109i
\(685\) −7.07024 + 6.36607i −0.270140 + 0.243235i
\(686\) 11.6416 + 16.0233i 0.444478 + 0.611771i
\(687\) 8.12271 + 17.4755i 0.309901 + 0.666731i
\(688\) −2.28816 1.32107i −0.0872354 0.0503654i
\(689\) 6.73708 0.708096i 0.256662 0.0269763i
\(690\) −4.43653 + 5.09094i −0.168896 + 0.193809i
\(691\) 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
\(693\) 7.18216 + 4.87027i 0.272828 + 0.185006i
\(694\) 4.00174 18.8267i 0.151904 0.714653i
\(695\) −14.3444 + 3.04899i −0.544113 + 0.115655i
\(696\) 9.22866 3.16495i 0.349811 0.119967i
\(697\) −13.8150 4.48876i −0.523280 0.170024i
\(698\) −9.27733 3.01439i −0.351152 0.114096i
\(699\) 6.30148 2.16108i 0.238344 0.0817394i
\(700\) −2.33847 + 0.497057i −0.0883858 + 0.0187870i
\(701\) 9.39731 44.2109i 0.354931 1.66982i −0.332139 0.943230i \(-0.607770\pi\)
0.687071 0.726591i \(-0.258896\pi\)
\(702\) −3.88162 + 4.75728i −0.146502 + 0.179552i
\(703\) 0.109058 + 0.0981967i 0.00411322 + 0.00370356i
\(704\) −0.126471 + 1.20329i −0.00476657 + 0.0453508i
\(705\) −3.03916 + 3.48744i −0.114461 + 0.131345i
\(706\) −26.1961 + 2.75332i −0.985904 + 0.103623i
\(707\) −14.6998 8.48696i −0.552844 0.319185i
\(708\) 7.05083 + 15.1694i 0.264986 + 0.570101i
\(709\) 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
\(711\) 30.8694 4.26072i 1.15769 0.159789i
\(712\) 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
\(717\) −5.30285 8.85015i −0.198039 0.330515i
\(718\) 16.1261 + 27.9312i 0.601820 + 1.04238i
\(719\) −26.4095 + 45.7426i −0.984909 + 1.70591i −0.342570 + 0.939492i \(0.611297\pi\)
−0.642339 + 0.766421i \(0.722036\pi\)
\(720\) 2.99217 + 0.216657i 0.111511 + 0.00807432i
\(721\) −16.0314 11.6475i −0.597039 0.433774i
\(722\) 18.8857 + 1.98497i 0.702853 + 0.0738729i
\(723\) −26.3963 + 24.5541i −0.981688 + 0.913176i
\(724\) 2.93442 6.59081i 0.109057 0.244946i
\(725\) −5.50970 1.17112i −0.204625 0.0434944i
\(726\) 16.3963 1.99268i 0.608526 0.0739552i
\(727\) 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
\(729\) −20.1982 + 17.9174i −0.748080 + 0.663609i
\(730\) 2.36384 + 5.30927i 0.0874895 + 0.196505i
\(731\) −2.12847 10.0137i −0.0787243 0.370369i
\(732\) −18.8694 5.79444i −0.697434 0.214169i
\(733\) −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
\(735\) −0.427211 + 2.18342i −0.0157579 + 0.0805365i
\(736\) 2.29162 3.15414i 0.0844702 0.116263i
\(737\) −1.01277 9.63589i −0.0373060 0.354942i
\(738\) 7.25062 8.59776i 0.266899 0.316488i
\(739\) 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
\(741\) 0.124568 + 0.165732i 0.00457611 + 0.00608833i
\(742\) 13.0350 4.23532i 0.478529 0.155483i
\(743\) 2.39114 0.0877225 0.0438613 0.999038i \(-0.486034\pi\)
0.0438613 + 0.999038i \(0.486034\pi\)
\(744\) 2.53531 9.30442i 0.0929490 0.341117i
\(745\) 1.88471 0.0690503
\(746\) 9.34591 3.03667i 0.342178 0.111180i
\(747\) −11.1492 17.9409i −0.407929 0.656423i
\(748\) −3.79269 + 2.75555i −0.138674 + 0.100753i
\(749\) 32.8815 18.9842i 1.20146 0.693666i
\(750\) −1.41759 0.995214i −0.0517629 0.0363401i
\(751\) 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
\(753\) 5.28308 + 1.03370i 0.192526 + 0.0376700i
\(754\) −4.45365 + 4.94628i −0.162192 + 0.180133i
\(755\) 8.54617 + 3.80500i 0.311027 + 0.138478i
\(756\) −5.68065 + 11.0476i −0.206603 + 0.401796i
\(757\) 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
\(759\) 7.51692 + 3.20170i 0.272847 + 0.116214i
\(760\) 0.0313037 0.0963429i 0.00113550 0.00349472i
\(761\) −19.8233 + 8.82588i −0.718593 + 0.319938i −0.733254 0.679954i \(-0.762000\pi\)
0.0146617 + 0.999893i \(0.495333\pi\)
\(762\) −2.84658 23.4225i −0.103121 0.848508i
\(763\) −12.1103 2.57412i −0.438422 0.0931895i
\(764\) −3.11557 + 6.99769i −0.112717 + 0.253168i
\(765\) 7.13378 + 9.17744i 0.257922 + 0.331811i
\(766\) 13.9352 + 1.46465i 0.503498 + 0.0529198i
\(767\) −9.23255 6.70784i −0.333368 0.242206i
\(768\) −1.73182 + 0.0280908i −0.0624918 + 0.00101364i
\(769\) −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
\(771\) 42.3805 25.3936i 1.52630 0.914529i
\(772\) 14.6211 + 16.2384i 0.526226 + 0.584434i
\(773\) −14.1794 43.6399i −0.509999 1.56962i