Properties

Label 930.2.br.b.11.5
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 11.5
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.0316079 - 1.73176i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.505083 + 1.65677i) q^{6} +(-0.0802420 - 0.763452i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.99800 - 0.109475i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.0316079 - 1.73176i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.505083 + 1.65677i) q^{6} +(-0.0802420 - 0.763452i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.99800 - 0.109475i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-0.551428 - 0.245511i) q^{11} +(-0.992333 - 1.41960i) q^{12} +(1.24517 + 5.85808i) q^{13} +(0.312234 + 0.701289i) q^{14} +(0.838508 + 1.51555i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.895018 + 0.398488i) q^{17} +(2.88510 - 0.822317i) q^{18} +(-4.05438 - 0.861785i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-1.32465 + 0.114829i) q^{21} +(0.600306 + 0.0630947i) q^{22} +(0.492054 + 0.357498i) q^{23} +(1.38245 + 1.04348i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.99448 - 5.18659i) q^{26} +(-0.284345 + 5.18837i) q^{27} +(-0.513663 - 0.570480i) q^{28} +(2.63625 + 8.11355i) q^{29} +(-1.26580 - 1.18226i) q^{30} +(1.97759 + 5.20472i) q^{31} +1.00000i q^{32} +(-0.442597 + 0.947182i) q^{33} +(0.728073 - 0.655560i) q^{34} +(0.451217 + 0.621047i) q^{35} +(-2.48978 + 1.67361i) q^{36} +(-9.50309 - 5.48661i) q^{37} +(4.12225 - 0.433266i) q^{38} +(10.1842 - 1.97118i) q^{39} +(0.104528 - 0.994522i) q^{40} +(8.20129 + 7.38447i) q^{41} +(1.22434 - 0.518549i) q^{42} +(0.784850 - 3.69243i) q^{43} +(-0.590422 + 0.125498i) q^{44} +(2.65108 - 1.40419i) q^{45} +(-0.578444 - 0.187948i) q^{46} +(-9.44864 - 3.07005i) q^{47} +(-1.63724 - 0.565205i) q^{48} +(6.27061 - 1.33286i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(0.661796 + 1.56255i) q^{51} +(4.45066 + 4.00739i) q^{52} +(-0.409227 + 3.89354i) q^{53} +(-1.33287 - 5.02230i) q^{54} +(0.600306 - 0.0630947i) q^{55} +(0.664810 + 0.383828i) q^{56} +(-1.62056 + 6.99398i) q^{57} +(-5.01445 - 6.90180i) q^{58} +(7.27371 - 6.54928i) q^{59} +(1.56919 + 0.733246i) q^{60} +11.7984i q^{61} +(-3.48915 - 4.33888i) q^{62} +(0.156987 + 2.29761i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-4.00739 - 4.45066i) q^{65} +(0.128239 - 1.03759i) q^{66} +(-0.364290 - 0.630968i) q^{67} +(-0.489859 + 0.848461i) q^{68} +(0.634655 - 0.840821i) q^{69} +(-0.621047 - 0.451217i) q^{70} +(6.35088 + 0.667504i) q^{71} +(1.85075 - 2.36109i) q^{72} +(-5.73753 + 12.8867i) q^{73} +(10.7334 + 2.28146i) q^{74} +(-1.48395 - 0.893254i) q^{75} +(-3.78661 + 1.68591i) q^{76} +(-0.143188 + 0.440689i) q^{77} +(-9.07658 + 5.02178i) q^{78} +(2.71470 + 6.09731i) q^{79} +(0.207912 + 0.978148i) q^{80} +(8.97603 + 0.656411i) q^{81} +(-10.0818 - 4.48871i) q^{82} +(4.71869 - 5.24064i) q^{83} +(-1.00417 + 0.871510i) q^{84} +(0.575864 - 0.792609i) q^{85} +(0.394587 + 3.75424i) q^{86} +(14.1341 - 4.30891i) q^{87} +(0.522744 - 0.301806i) q^{88} +(4.80921 - 3.49409i) q^{89} +(-2.08741 + 2.15470i) q^{90} +(4.37244 - 1.42069i) q^{91} +0.608212 q^{92} +(9.07585 - 3.26020i) q^{93} +9.93488 q^{94} +(3.94209 - 1.28086i) q^{95} +(1.73176 + 0.0316079i) q^{96} +(7.85424 - 5.70644i) q^{97} +(-5.55183 + 3.20535i) q^{98} +(1.62630 + 0.796411i) 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
\(3\) 0.0316079 1.73176i 0.0182488 0.999833i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.505083 + 1.65677i 0.206199 + 0.676374i
\(7\) −0.0802420 0.763452i −0.0303286 0.288558i −0.999165 0.0408561i \(-0.986991\pi\)
0.968836 0.247701i \(-0.0796752\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −2.99800 0.109475i −0.999334 0.0364916i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −0.551428 0.245511i −0.166262 0.0740245i 0.321918 0.946767i \(-0.395672\pi\)
−0.488180 + 0.872743i \(0.662339\pi\)
\(12\) −0.992333 1.41960i −0.286462 0.409804i
\(13\) 1.24517 + 5.85808i 0.345349 + 1.62474i 0.717494 + 0.696565i \(0.245289\pi\)
−0.372145 + 0.928175i \(0.621378\pi\)
\(14\) 0.312234 + 0.701289i 0.0834481 + 0.187427i
\(15\) 0.838508 + 1.51555i 0.216502 + 0.391314i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −0.895018 + 0.398488i −0.217074 + 0.0966474i −0.512393 0.858751i \(-0.671241\pi\)
0.295319 + 0.955399i \(0.404574\pi\)
\(18\) 2.88510 0.822317i 0.680024 0.193822i
\(19\) −4.05438 0.861785i −0.930138 0.197707i −0.282161 0.959367i \(-0.591051\pi\)
−0.647977 + 0.761660i \(0.724385\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) −1.32465 + 0.114829i −0.289063 + 0.0250577i
\(22\) 0.600306 + 0.0630947i 0.127986 + 0.0134518i
\(23\) 0.492054 + 0.357498i 0.102600 + 0.0745435i 0.637903 0.770117i \(-0.279802\pi\)
−0.535302 + 0.844661i \(0.679802\pi\)
\(24\) 1.38245 + 1.04348i 0.282191 + 0.212999i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.99448 5.18659i −0.587265 1.01717i
\(27\) −0.284345 + 5.18837i −0.0547222 + 0.998502i
\(28\) −0.513663 0.570480i −0.0970731 0.107811i
\(29\) 2.63625 + 8.11355i 0.489540 + 1.50665i 0.825296 + 0.564700i \(0.191008\pi\)
−0.335756 + 0.941949i \(0.608992\pi\)
\(30\) −1.26580 1.18226i −0.231102 0.215851i
\(31\) 1.97759 + 5.20472i 0.355185 + 0.934796i
\(32\) 1.00000i 0.176777i
\(33\) −0.442597 + 0.947182i −0.0770462 + 0.164883i
\(34\) 0.728073 0.655560i 0.124863 0.112428i
\(35\) 0.451217 + 0.621047i 0.0762697 + 0.104976i
\(36\) −2.48978 + 1.67361i −0.414964 + 0.278936i
\(37\) −9.50309 5.48661i −1.56230 0.901993i −0.997024 0.0770894i \(-0.975437\pi\)
−0.565273 0.824904i \(-0.691229\pi\)
\(38\) 4.12225 0.433266i 0.668717 0.0702850i
\(39\) 10.1842 1.97118i 1.63077 0.315642i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 8.20129 + 7.38447i 1.28083 + 1.15326i 0.979873 + 0.199621i \(0.0639713\pi\)
0.300953 + 0.953639i \(0.402695\pi\)
\(42\) 1.22434 0.518549i 0.188919 0.0800139i
\(43\) 0.784850 3.69243i 0.119689 0.563090i −0.876908 0.480658i \(-0.840398\pi\)
0.996597 0.0824323i \(-0.0262688\pi\)
\(44\) −0.590422 + 0.125498i −0.0890095 + 0.0189196i
\(45\) 2.65108 1.40419i 0.395200 0.209325i
\(46\) −0.578444 0.187948i −0.0852870 0.0277114i
\(47\) −9.44864 3.07005i −1.37823 0.447813i −0.476140 0.879370i \(-0.657964\pi\)
−0.902086 + 0.431557i \(0.857964\pi\)
\(48\) −1.63724 0.565205i −0.236315 0.0815803i
\(49\) 6.27061 1.33286i 0.895802 0.190409i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 0.661796 + 1.56255i 0.0926700 + 0.218801i
\(52\) 4.45066 + 4.00739i 0.617195 + 0.555725i
\(53\) −0.409227 + 3.89354i −0.0562117 + 0.534818i 0.929791 + 0.368088i \(0.119988\pi\)
−0.986003 + 0.166730i \(0.946679\pi\)
\(54\) −1.33287 5.02230i −0.181380 0.683448i
\(55\) 0.600306 0.0630947i 0.0809453 0.00850769i
\(56\) 0.664810 + 0.383828i 0.0888390 + 0.0512912i
\(57\) −1.62056 + 6.99398i −0.214648 + 0.926376i
\(58\) −5.01445 6.90180i −0.658430 0.906251i
\(59\) 7.27371 6.54928i 0.946957 0.852644i −0.0422593 0.999107i \(-0.513456\pi\)
0.989216 + 0.146463i \(0.0467889\pi\)
\(60\) 1.56919 + 0.733246i 0.202581 + 0.0946617i
\(61\) 11.7984i 1.51063i 0.655359 + 0.755317i \(0.272517\pi\)
−0.655359 + 0.755317i \(0.727483\pi\)
\(62\) −3.48915 4.33888i −0.443122 0.551038i
\(63\) 0.156987 + 2.29761i 0.0197785 + 0.289472i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −4.00739 4.45066i −0.497056 0.552036i
\(66\) 0.128239 1.03759i 0.0157852 0.127719i
\(67\) −0.364290 0.630968i −0.0445051 0.0770851i 0.842915 0.538047i \(-0.180838\pi\)
−0.887420 + 0.460962i \(0.847504\pi\)
\(68\) −0.489859 + 0.848461i −0.0594042 + 0.102891i
\(69\) 0.634655 0.840821i 0.0764035 0.101223i
\(70\) −0.621047 0.451217i −0.0742294 0.0539308i
\(71\) 6.35088 + 0.667504i 0.753711 + 0.0792182i 0.473589 0.880746i \(-0.342958\pi\)
0.280122 + 0.959964i \(0.409625\pi\)
\(72\) 1.85075 2.36109i 0.218113 0.278257i
\(73\) −5.73753 + 12.8867i −0.671527 + 1.50827i 0.179835 + 0.983697i \(0.442444\pi\)
−0.851362 + 0.524578i \(0.824223\pi\)
\(74\) 10.7334 + 2.28146i 1.24774 + 0.265214i
\(75\) −1.48395 0.893254i −0.171351 0.103144i
\(76\) −3.78661 + 1.68591i −0.434353 + 0.193387i
\(77\) −0.143188 + 0.440689i −0.0163178 + 0.0502211i
\(78\) −9.07658 + 5.02178i −1.02772 + 0.568605i
\(79\) 2.71470 + 6.09731i 0.305427 + 0.686001i 0.999423 0.0339789i \(-0.0108179\pi\)
−0.693995 + 0.719979i \(0.744151\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) 8.97603 + 0.656411i 0.997337 + 0.0729346i
\(82\) −10.0818 4.48871i −1.11335 0.495695i
\(83\) 4.71869 5.24064i 0.517944 0.575235i −0.426258 0.904602i \(-0.640169\pi\)
0.944202 + 0.329367i \(0.106835\pi\)
\(84\) −1.00417 + 0.871510i −0.109564 + 0.0950895i
\(85\) 0.575864 0.792609i 0.0624613 0.0859705i
\(86\) 0.394587 + 3.75424i 0.0425494 + 0.404830i
\(87\) 14.1341 4.30891i 1.51533 0.461964i
\(88\) 0.522744 0.301806i 0.0557247 0.0321727i
\(89\) 4.80921 3.49409i 0.509775 0.370373i −0.302963 0.953002i \(-0.597976\pi\)
0.812738 + 0.582629i \(0.197976\pi\)
\(90\) −2.08741 + 2.15470i −0.220032 + 0.227125i
\(91\) 4.37244 1.42069i 0.458357 0.148929i
\(92\) 0.608212 0.0634105
\(93\) 9.07585 3.26020i 0.941122 0.338067i
\(94\) 9.93488 1.02471
\(95\) 3.94209 1.28086i 0.404450 0.131414i
\(96\) 1.73176 + 0.0316079i 0.176747 + 0.00322597i
\(97\) 7.85424 5.70644i 0.797477 0.579401i −0.112696 0.993630i \(-0.535949\pi\)
0.910173 + 0.414228i \(0.135949\pi\)
\(98\) −5.55183 + 3.20535i −0.560820 + 0.323789i
\(99\) 1.62630 + 0.796411i 0.163450 + 0.0800423i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −7.75539 + 10.6744i −0.771690 + 1.06214i 0.224460 + 0.974483i \(0.427938\pi\)
−0.996151 + 0.0876573i \(0.972062\pi\)
\(102\) −1.11226 1.28157i −0.110130 0.126894i
\(103\) −10.7089 + 11.8935i −1.05518 + 1.17190i −0.0705052 + 0.997511i \(0.522461\pi\)
−0.984677 + 0.174387i \(0.944206\pi\)
\(104\) −5.47118 2.43593i −0.536493 0.238862i
\(105\) 1.08977 0.761771i 0.106351 0.0743413i
\(106\) −0.813971 3.82943i −0.0790598 0.371947i
\(107\) 5.63995 + 12.6675i 0.545235 + 1.22462i 0.950587 + 0.310457i \(0.100482\pi\)
−0.405353 + 0.914160i \(0.632851\pi\)
\(108\) 2.81961 + 4.36461i 0.271317 + 0.419985i
\(109\) −2.77250 + 8.53289i −0.265558 + 0.817302i 0.726007 + 0.687688i \(0.241374\pi\)
−0.991564 + 0.129615i \(0.958626\pi\)
\(110\) −0.551428 + 0.245511i −0.0525766 + 0.0234086i
\(111\) −9.80188 + 16.2837i −0.930353 + 1.54558i
\(112\) −0.750882 0.159605i −0.0709517 0.0150812i
\(113\) 0.875218 1.96577i 0.0823336 0.184924i −0.867687 0.497110i \(-0.834394\pi\)
0.950021 + 0.312186i \(0.101061\pi\)
\(114\) −0.620018 7.15245i −0.0580700 0.669888i
\(115\) −0.604881 0.0635755i −0.0564054 0.00592845i
\(116\) 6.90180 + 5.01445i 0.640816 + 0.465580i
\(117\) −3.09172 17.6988i −0.285830 1.63626i
\(118\) −4.89387 + 8.47644i −0.450518 + 0.780319i
\(119\) 0.376044 + 0.651327i 0.0344719 + 0.0597071i
\(120\) −1.71897 0.212453i −0.156920 0.0193942i
\(121\) −7.11664 7.90383i −0.646967 0.718530i
\(122\) −3.64592 11.2210i −0.330086 1.01590i
\(123\) 13.0474 13.9693i 1.17644 1.25957i
\(124\) 4.65916 + 3.04831i 0.418405 + 0.273747i
\(125\) 1.00000i 0.0894427i
\(126\) −0.859305 2.13665i −0.0765530 0.190348i
\(127\) −7.31430 + 6.58582i −0.649039 + 0.584397i −0.926479 0.376346i \(-0.877181\pi\)
0.277441 + 0.960743i \(0.410514\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −6.36960 1.47588i −0.560812 0.129944i
\(130\) 5.18659 + 2.99448i 0.454894 + 0.262633i
\(131\) −13.9640 + 1.46768i −1.22004 + 0.128232i −0.692577 0.721344i \(-0.743525\pi\)
−0.527467 + 0.849575i \(0.676858\pi\)
\(132\) 0.198671 + 1.02644i 0.0172921 + 0.0893400i
\(133\) −0.332600 + 3.16447i −0.0288400 + 0.274395i
\(134\) 0.541440 + 0.487515i 0.0467733 + 0.0421149i
\(135\) −2.34793 4.63543i −0.202078 0.398954i
\(136\) 0.203695 0.958310i 0.0174667 0.0821744i
\(137\) −7.78117 + 1.65394i −0.664790 + 0.141305i −0.527934 0.849286i \(-0.677033\pi\)
−0.136856 + 0.990591i \(0.543700\pi\)
\(138\) −0.343765 + 0.995788i −0.0292632 + 0.0847671i
\(139\) −13.3149 4.32629i −1.12936 0.366951i −0.316027 0.948750i \(-0.602349\pi\)
−0.813332 + 0.581799i \(0.802349\pi\)
\(140\) 0.730085 + 0.237219i 0.0617034 + 0.0200487i
\(141\) −5.61525 + 16.2658i −0.472889 + 1.36982i
\(142\) −6.24631 + 1.32770i −0.524179 + 0.111418i
\(143\) 0.751603 3.53601i 0.0628522 0.295696i
\(144\) −1.03055 + 2.81744i −0.0858792 + 0.234787i
\(145\) −6.33984 5.70842i −0.526495 0.474058i
\(146\) 1.47451 14.0290i 0.122031 1.16105i
\(147\) −2.11000 10.9013i −0.174030 0.899128i
\(148\) −10.9131 + 1.14701i −0.897052 + 0.0942839i
\(149\) −2.08442 1.20344i −0.170762 0.0985897i 0.412183 0.911101i \(-0.364766\pi\)
−0.582945 + 0.812511i \(0.698100\pi\)
\(150\) 1.68735 + 0.390971i 0.137771 + 0.0319226i
\(151\) 2.52073 + 3.46948i 0.205134 + 0.282343i 0.899172 0.437596i \(-0.144170\pi\)
−0.694038 + 0.719939i \(0.744170\pi\)
\(152\) 3.08030 2.77352i 0.249846 0.224962i
\(153\) 2.72689 1.09668i 0.220456 0.0886617i
\(154\) 0.463368i 0.0373392i
\(155\) −4.31500 3.51863i −0.346589 0.282623i
\(156\) 7.08053 7.58082i 0.566896 0.606951i
\(157\) −3.61004 11.1106i −0.288113 0.886720i −0.985448 0.169975i \(-0.945631\pi\)
0.697336 0.716745i \(-0.254369\pi\)
\(158\) −4.46600 4.96000i −0.355296 0.394596i
\(159\) 6.72974 + 0.831751i 0.533703 + 0.0659621i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 0.233449 0.404346i 0.0183984 0.0318669i
\(162\) −8.73955 + 2.14946i −0.686644 + 0.168878i
\(163\) 4.01111 + 2.91424i 0.314175 + 0.228261i 0.733686 0.679489i \(-0.237798\pi\)
−0.419511 + 0.907750i \(0.637798\pi\)
\(164\) 10.9755 + 1.15357i 0.857040 + 0.0900785i
\(165\) −0.0902907 1.04158i −0.00702912 0.0810870i
\(166\) −2.86830 + 6.44230i −0.222623 + 0.500020i
\(167\) −8.79381 1.86918i −0.680485 0.144642i −0.145314 0.989386i \(-0.546419\pi\)
−0.535171 + 0.844744i \(0.679753\pi\)
\(168\) 0.685713 1.13916i 0.0529039 0.0878882i
\(169\) −20.8906 + 9.30107i −1.60697 + 0.715467i
\(170\) −0.302750 + 0.931768i −0.0232198 + 0.0714633i
\(171\) 12.0607 + 3.02748i 0.922304 + 0.231518i
\(172\) −1.53540 3.44856i −0.117073 0.262950i
\(173\) 1.89714 + 8.92535i 0.144237 + 0.678582i 0.989536 + 0.144288i \(0.0460891\pi\)
−0.845299 + 0.534294i \(0.820578\pi\)
\(174\) −12.1108 + 8.46569i −0.918115 + 0.641782i
\(175\) −0.701289 0.312234i −0.0530125 0.0236027i
\(176\) −0.403896 + 0.448572i −0.0304448 + 0.0338124i
\(177\) −11.1119 12.8034i −0.835221 0.962359i
\(178\) −3.49409 + 4.80921i −0.261893 + 0.360465i
\(179\) −0.898176 8.54557i −0.0671328 0.638726i −0.975416 0.220371i \(-0.929273\pi\)
0.908283 0.418355i \(-0.137393\pi\)
\(180\) 1.31941 2.69428i 0.0983428 0.200820i
\(181\) 16.9711 9.79829i 1.26145 0.728301i 0.288099 0.957601i \(-0.406977\pi\)
0.973356 + 0.229299i \(0.0736435\pi\)
\(182\) −3.71942 + 2.70232i −0.275702 + 0.200309i
\(183\) 20.4321 + 0.372924i 1.51038 + 0.0275673i
\(184\) −0.578444 + 0.187948i −0.0426435 + 0.0138557i
\(185\) 10.9732 0.806767
\(186\) −7.62419 + 5.90523i −0.559033 + 0.432992i
\(187\) 0.591371 0.0432453
\(188\) −9.44864 + 3.07005i −0.689113 + 0.223906i
\(189\) 3.98388 0.199241i 0.289785 0.0144927i
\(190\) −3.35334 + 2.43634i −0.243277 + 0.176751i
\(191\) 11.6486 6.72532i 0.842862 0.486627i −0.0153738 0.999882i \(-0.504894\pi\)
0.858236 + 0.513255i \(0.171560\pi\)
\(192\) −1.65677 + 0.505083i −0.119567 + 0.0364512i
\(193\) −2.58308 24.5763i −0.185934 1.76904i −0.547605 0.836737i \(-0.684460\pi\)
0.361671 0.932306i \(-0.382206\pi\)
\(194\) −5.70644 + 7.85424i −0.409698 + 0.563902i
\(195\) −7.83415 + 6.79917i −0.561015 + 0.486899i
\(196\) 4.28960 4.76408i 0.306400 0.340291i
\(197\) −15.6853 6.98356i −1.11753 0.497558i −0.236984 0.971513i \(-0.576159\pi\)
−0.880549 + 0.473956i \(0.842826\pi\)
\(198\) −1.79281 0.254876i −0.127410 0.0181133i
\(199\) −0.529552 2.49134i −0.0375389 0.176607i 0.955384 0.295366i \(-0.0954416\pi\)
−0.992923 + 0.118759i \(0.962108\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −1.10420 + 0.610920i −0.0778844 + 0.0430910i
\(202\) 4.07725 12.5485i 0.286874 0.882908i
\(203\) 5.98277 2.66370i 0.419908 0.186955i
\(204\) 1.45385 + 0.875138i 0.101790 + 0.0612719i
\(205\) −10.7948 2.29450i −0.753939 0.160255i
\(206\) 6.50951 14.6206i 0.453539 1.01867i
\(207\) −1.43604 1.12565i −0.0998118 0.0782379i
\(208\) 5.95614 + 0.626016i 0.412984 + 0.0434064i
\(209\) 2.02412 + 1.47061i 0.140011 + 0.101724i
\(210\) −0.801031 + 1.06124i −0.0552764 + 0.0732328i
\(211\) 6.82631 11.8235i 0.469943 0.813964i −0.529467 0.848331i \(-0.677608\pi\)
0.999409 + 0.0343663i \(0.0109413\pi\)
\(212\) 1.95749 + 3.39047i 0.134441 + 0.232859i
\(213\) 1.35670 10.9771i 0.0929593 0.752139i
\(214\) −9.27840 10.3047i −0.634258 0.704415i
\(215\) 1.16651 + 3.59016i 0.0795556 + 0.244847i
\(216\) −4.03034 3.27969i −0.274230 0.223154i
\(217\) 3.81487 1.92743i 0.258970 0.130842i
\(218\) 8.97201i 0.607661i
\(219\) 22.1354 + 10.3434i 1.49577 + 0.698940i
\(220\) 0.448572 0.403896i 0.0302427 0.0272307i
\(221\) −3.44882 4.74690i −0.231993 0.319311i
\(222\) 4.29021 18.5156i 0.287940 1.24269i
\(223\) 10.3800 + 5.99290i 0.695097 + 0.401314i 0.805519 0.592570i \(-0.201887\pi\)
−0.110422 + 0.993885i \(0.535220\pi\)
\(224\) 0.763452 0.0802420i 0.0510103 0.00536139i
\(225\) −1.59381 + 2.54161i −0.106254 + 0.169441i
\(226\) −0.224925 + 2.14002i −0.0149618 + 0.142352i
\(227\) 16.1577 + 14.5485i 1.07242 + 0.965615i 0.999497 0.0317220i \(-0.0100991\pi\)
0.0729276 + 0.997337i \(0.476766\pi\)
\(228\) 2.79990 + 6.61079i 0.185428 + 0.437810i
\(229\) −2.87446 + 13.5233i −0.189950 + 0.893644i 0.775153 + 0.631773i \(0.217673\pi\)
−0.965103 + 0.261870i \(0.915661\pi\)
\(230\) 0.594922 0.126454i 0.0392280 0.00833816i
\(231\) 0.758642 + 0.261898i 0.0499150 + 0.0172316i
\(232\) −8.11355 2.63625i −0.532681 0.173078i
\(233\) 2.31438 + 0.751987i 0.151620 + 0.0492643i 0.383844 0.923398i \(-0.374600\pi\)
−0.232224 + 0.972662i \(0.574600\pi\)
\(234\) 8.40965 + 15.8772i 0.549756 + 1.03793i
\(235\) 9.71778 2.06558i 0.633918 0.134743i
\(236\) 2.03499 9.57386i 0.132466 0.623205i
\(237\) 10.6449 4.50848i 0.691460 0.292858i
\(238\) −0.558910 0.503245i −0.0362288 0.0326205i
\(239\) 2.71745 25.8548i 0.175777 1.67241i −0.450477 0.892788i \(-0.648746\pi\)
0.626254 0.779619i \(-0.284587\pi\)
\(240\) 1.70049 0.329136i 0.109766 0.0212457i
\(241\) −14.1209 + 1.48417i −0.909607 + 0.0956035i −0.547761 0.836635i \(-0.684520\pi\)
−0.361845 + 0.932238i \(0.617853\pi\)
\(242\) 9.21074 + 5.31783i 0.592089 + 0.341843i
\(243\) 1.42046 15.5236i 0.0911226 0.995840i
\(244\) 6.93495 + 9.54513i 0.443964 + 0.611065i
\(245\) −4.76408 + 4.28960i −0.304366 + 0.274052i
\(246\) −8.09205 + 17.3174i −0.515930 + 1.10412i
\(247\) 24.8239i 1.57951i
\(248\) −5.37311 1.45936i −0.341193 0.0926693i
\(249\) −8.92640 8.33730i −0.565687 0.528355i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −7.86589 8.73596i −0.496491 0.551409i 0.441864 0.897082i \(-0.354317\pi\)
−0.938355 + 0.345673i \(0.887651\pi\)
\(252\) 1.47751 + 1.76653i 0.0930743 + 0.111281i
\(253\) −0.183562 0.317939i −0.0115405 0.0199887i
\(254\) 4.92118 8.52373i 0.308782 0.534826i
\(255\) −1.35441 1.02231i −0.0848164 0.0640197i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −20.1391 2.11671i −1.25624 0.132037i −0.547080 0.837080i \(-0.684261\pi\)
−0.709164 + 0.705043i \(0.750927\pi\)
\(258\) 6.51393 0.564667i 0.405539 0.0351546i
\(259\) −3.42621 + 7.69540i −0.212895 + 0.478169i
\(260\) −5.85808 1.24517i −0.363303 0.0772224i
\(261\) −7.01526 24.6130i −0.434234 1.52351i
\(262\) 12.8271 5.71098i 0.792459 0.352825i
\(263\) −6.78381 + 20.8784i −0.418308 + 1.28742i 0.490951 + 0.871187i \(0.336649\pi\)
−0.909259 + 0.416232i \(0.863351\pi\)
\(264\) −0.506134 0.914808i −0.0311504 0.0563025i
\(265\) −1.59237 3.57651i −0.0978183 0.219704i
\(266\) −0.661555 3.11237i −0.0405625 0.190832i
\(267\) −5.89893 8.43885i −0.361009 0.516449i
\(268\) −0.665591 0.296340i −0.0406574 0.0181018i
\(269\) −10.7519 + 11.9412i −0.655553 + 0.728065i −0.975653 0.219318i \(-0.929617\pi\)
0.320100 + 0.947384i \(0.396283\pi\)
\(270\) 3.66544 + 3.68300i 0.223072 + 0.224141i
\(271\) −0.374862 + 0.515953i −0.0227712 + 0.0313419i −0.820251 0.572004i \(-0.806166\pi\)
0.797480 + 0.603346i \(0.206166\pi\)
\(272\) 0.102409 + 0.974352i 0.00620943 + 0.0590788i
\(273\) −2.32210 7.61694i −0.140540 0.460998i
\(274\) 6.88923 3.97750i 0.416194 0.240290i
\(275\) −0.488333 + 0.354795i −0.0294476 + 0.0213949i
\(276\) 0.0192243 1.05328i 0.00115717 0.0634000i
\(277\) −3.10775 + 1.00977i −0.186726 + 0.0606711i −0.400888 0.916127i \(-0.631298\pi\)
0.214161 + 0.976798i \(0.431298\pi\)
\(278\) 14.0002 0.839674
\(279\) −5.35903 15.8203i −0.320837 0.947135i
\(280\) −0.767657 −0.0458763
\(281\) 5.35691 1.74057i 0.319567 0.103833i −0.144841 0.989455i \(-0.546267\pi\)
0.464408 + 0.885621i \(0.346267\pi\)
\(282\) 0.314021 17.2049i 0.0186997 1.02453i
\(283\) −16.4777 + 11.9717i −0.979495 + 0.711645i −0.957596 0.288115i \(-0.906971\pi\)
−0.0218994 + 0.999760i \(0.506971\pi\)
\(284\) 5.53032 3.19293i 0.328164 0.189466i
\(285\) −2.09355 6.86724i −0.124011 0.406780i
\(286\) 0.377871 + 3.59521i 0.0223440 + 0.212589i
\(287\) 4.97960 6.85383i 0.293936 0.404569i
\(288\) 0.109475 2.99800i 0.00645086 0.176659i
\(289\) −10.7330 + 11.9202i −0.631350 + 0.701186i
\(290\) 7.79354 + 3.46991i 0.457653 + 0.203760i
\(291\) −9.63394 13.7820i −0.564752 0.807918i
\(292\) 2.93286 + 13.7980i 0.171632 + 0.807467i
\(293\) −3.61021 8.10866i −0.210911 0.473713i 0.776851 0.629685i \(-0.216816\pi\)
−0.987762 + 0.155971i \(0.950149\pi\)
\(294\) 5.37543 + 9.71577i 0.313501 + 0.566635i
\(295\) −3.02458 + 9.30870i −0.176098 + 0.541974i
\(296\) 10.0245 4.46321i 0.582664 0.259419i
\(297\) 1.43060 2.79120i 0.0830118 0.161962i
\(298\) 2.35428 + 0.500419i 0.136380 + 0.0289885i
\(299\) −1.48156 + 3.32764i −0.0856809 + 0.192442i
\(300\) −1.72558 + 0.149584i −0.0996264 + 0.00863622i
\(301\) −2.88197 0.302907i −0.166114 0.0174593i
\(302\) −3.46948 2.52073i −0.199646 0.145052i
\(303\) 18.2404 + 13.7679i 1.04788 + 0.790945i
\(304\) −2.07248 + 3.58964i −0.118865 + 0.205880i
\(305\) −5.89922 10.2177i −0.337788 0.585066i
\(306\) −2.25453 + 1.88566i −0.128883 + 0.107796i
\(307\) −3.54030 3.93190i −0.202056 0.224405i 0.633598 0.773663i \(-0.281577\pi\)
−0.835653 + 0.549257i \(0.814911\pi\)
\(308\) 0.143188 + 0.440689i 0.00815892 + 0.0251106i
\(309\) 20.2582 + 18.9213i 1.15245 + 1.07639i
\(310\) 5.19113 + 2.01301i 0.294836 + 0.114331i
\(311\) 9.87218i 0.559800i −0.960029 0.279900i \(-0.909699\pi\)
0.960029 0.279900i \(-0.0903013\pi\)
\(312\) −4.39138 + 9.39779i −0.248613 + 0.532045i
\(313\) 10.7290 9.66046i 0.606441 0.546042i −0.307677 0.951491i \(-0.599552\pi\)
0.914118 + 0.405449i \(0.132885\pi\)
\(314\) 6.86671 + 9.45122i 0.387511 + 0.533363i
\(315\) −1.28476 1.91130i −0.0723881 0.107689i
\(316\) 5.78014 + 3.33717i 0.325158 + 0.187730i
\(317\) −6.87909 + 0.723022i −0.386368 + 0.0406089i −0.295722 0.955274i \(-0.595560\pi\)
−0.0906467 + 0.995883i \(0.528893\pi\)
\(318\) −6.65739 + 1.28856i −0.373328 + 0.0722591i
\(319\) 0.538267 5.12127i 0.0301372 0.286736i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 22.1154 9.36666i 1.23436 0.522796i
\(322\) −0.0970736 + 0.456696i −0.00540970 + 0.0254506i
\(323\) 3.97215 0.844307i 0.221016 0.0469785i
\(324\) 7.64759 4.74493i 0.424866 0.263607i
\(325\) 5.69583 + 1.85069i 0.315948 + 0.102658i
\(326\) −4.71535 1.53211i −0.261159 0.0848557i
\(327\) 14.6893 + 5.07102i 0.812320 + 0.280428i
\(328\) −10.7948 + 2.29450i −0.596041 + 0.126692i
\(329\) −1.58566 + 7.45992i −0.0874200 + 0.411279i
\(330\) 0.407738 + 0.962702i 0.0224452 + 0.0529950i
\(331\) 9.95446 + 8.96303i 0.547146 + 0.492653i 0.895714 0.444631i \(-0.146665\pi\)
−0.348568 + 0.937284i \(0.613332\pi\)
\(332\) 0.737132 7.01335i 0.0404554 0.384907i
\(333\) 27.8896 + 17.4892i 1.52834 + 0.958403i
\(334\) 8.94101 0.939739i 0.489231 0.0514202i
\(335\) 0.630968 + 0.364290i 0.0344735 + 0.0199033i
\(336\) −0.300131 + 1.29530i −0.0163735 + 0.0706646i
\(337\) −4.02343 5.53778i −0.219170 0.301662i 0.685247 0.728311i \(-0.259694\pi\)
−0.904417 + 0.426649i \(0.859694\pi\)
\(338\) 16.9939 15.3014i 0.924347 0.832285i
\(339\) −3.37659 1.57780i −0.183391 0.0856945i
\(340\) 0.979719i 0.0531327i
\(341\) 0.187322 3.35555i 0.0101441 0.181713i
\(342\) −12.4059 + 0.847650i −0.670837 + 0.0458357i
\(343\) −3.18127 9.79095i −0.171773 0.528662i
\(344\) 2.52592 + 2.80531i 0.136188 + 0.151252i
\(345\) −0.129217 + 1.04550i −0.00695679 + 0.0562878i
\(346\) −4.56237 7.90226i −0.245275 0.424828i
\(347\) −17.8507 + 30.9184i −0.958278 + 1.65979i −0.231595 + 0.972812i \(0.574394\pi\)
−0.726683 + 0.686973i \(0.758939\pi\)
\(348\) 8.90199 11.7938i 0.477197 0.632213i
\(349\) −2.89439 2.10290i −0.154933 0.112565i 0.507618 0.861582i \(-0.330526\pi\)
−0.662551 + 0.749017i \(0.730526\pi\)
\(350\) 0.763452 + 0.0802420i 0.0408082 + 0.00428911i
\(351\) −30.7479 + 4.79470i −1.64120 + 0.255922i
\(352\) 0.245511 0.551428i 0.0130858 0.0293912i
\(353\) −4.63748 0.985728i −0.246828 0.0524650i 0.0828360 0.996563i \(-0.473602\pi\)
−0.329664 + 0.944098i \(0.606936\pi\)
\(354\) 14.5245 + 8.74295i 0.771968 + 0.464682i
\(355\) −5.83377 + 2.59736i −0.309625 + 0.137854i
\(356\) 1.83695 5.65356i 0.0973584 0.299638i
\(357\) 1.13983 0.630632i 0.0603262 0.0333766i
\(358\) 3.49494 + 7.84977i 0.184713 + 0.414873i
\(359\) −4.69762 22.1006i −0.247931 1.16642i −0.909228 0.416299i \(-0.863327\pi\)
0.661297 0.750125i \(-0.270006\pi\)
\(360\) −0.422252 + 2.97014i −0.0222546 + 0.156540i
\(361\) −1.66205 0.739991i −0.0874762 0.0389469i
\(362\) −13.1127 + 14.5631i −0.689187 + 0.765419i
\(363\) −13.9125 + 12.0745i −0.730217 + 0.633747i
\(364\) 2.70232 3.71942i 0.141640 0.194951i
\(365\) −1.47451 14.0290i −0.0771791 0.734310i
\(366\) −19.5473 + 5.95919i −1.02175 + 0.311492i
\(367\) 18.2142 10.5160i 0.950772 0.548929i 0.0574515 0.998348i \(-0.481703\pi\)
0.893321 + 0.449420i \(0.148369\pi\)
\(368\) 0.492054 0.357498i 0.0256501 0.0186359i
\(369\) −23.7791 23.0365i −1.23789 1.19923i
\(370\) −10.4362 + 3.39091i −0.542550 + 0.176285i
\(371\) 3.00536 0.156031
\(372\) 5.42622 7.97221i 0.281336 0.413340i
\(373\) 9.76782 0.505758 0.252879 0.967498i \(-0.418622\pi\)
0.252879 + 0.967498i \(0.418622\pi\)
\(374\) −0.562427 + 0.182744i −0.0290824 + 0.00944945i
\(375\) 1.73176 + 0.0316079i 0.0894278 + 0.00163222i
\(376\) 8.03749 5.83958i 0.414502 0.301153i
\(377\) −44.2472 + 25.5462i −2.27885 + 1.31569i
\(378\) −3.72733 + 1.42058i −0.191713 + 0.0730666i
\(379\) 2.78074 + 26.4570i 0.142837 + 1.35900i 0.797608 + 0.603176i \(0.206098\pi\)
−0.654771 + 0.755827i \(0.727235\pi\)
\(380\) 2.43634 3.35334i 0.124982 0.172023i
\(381\) 11.1739 + 12.8748i 0.572456 + 0.659595i
\(382\) −9.00023 + 9.99577i −0.460492 + 0.511428i
\(383\) 24.8972 + 11.0849i 1.27219 + 0.566413i 0.928032 0.372500i \(-0.121499\pi\)
0.344153 + 0.938914i \(0.388166\pi\)
\(384\) 1.41960 0.992333i 0.0724439 0.0506398i
\(385\) −0.0963395 0.453242i −0.00490992 0.0230993i
\(386\) 10.0512 + 22.5753i 0.511590 + 1.14905i
\(387\) −2.75721 + 10.9840i −0.140157 + 0.558348i
\(388\) 3.00005 9.23321i 0.152305 0.468745i
\(389\) −20.0853 + 8.94256i −1.01837 + 0.453406i −0.846882 0.531781i \(-0.821523\pi\)
−0.171484 + 0.985187i \(0.554856\pi\)
\(390\) 5.34966 8.88728i 0.270890 0.450025i
\(391\) −0.582856 0.123890i −0.0294763 0.00626538i
\(392\) −2.60747 + 5.85647i −0.131697 + 0.295796i
\(393\) 2.10030 + 24.2288i 0.105946 + 1.22218i
\(394\) 17.0757 + 1.79473i 0.860260 + 0.0904169i
\(395\) −5.39965 3.92307i −0.271686 0.197391i
\(396\) 1.78383 0.311607i 0.0896407 0.0156589i
\(397\) 5.90865 10.2341i 0.296547 0.513634i −0.678797 0.734326i \(-0.737498\pi\)
0.975344 + 0.220692i \(0.0708316\pi\)
\(398\) 1.27350 + 2.20577i 0.0638349 + 0.110565i
\(399\) 5.46960 + 0.676006i 0.273823 + 0.0338426i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 2.15585 + 6.63504i 0.107658 + 0.331338i 0.990345 0.138623i \(-0.0442678\pi\)
−0.882687 + 0.469962i \(0.844268\pi\)
\(402\) 0.861374 0.922236i 0.0429614 0.0459970i
\(403\) −28.0272 + 18.0657i −1.39614 + 0.899914i
\(404\) 13.1943i 0.656439i
\(405\) −8.10168 + 3.91955i −0.402576 + 0.194764i
\(406\) −4.86682 + 4.38210i −0.241536 + 0.217480i
\(407\) 3.89324 + 5.35859i 0.192981 + 0.265615i
\(408\) −1.65313 0.383042i −0.0818419 0.0189634i
\(409\) 12.0644 + 6.96539i 0.596547 + 0.344417i 0.767682 0.640831i \(-0.221410\pi\)
−0.171135 + 0.985248i \(0.554743\pi\)
\(410\) 10.9755 1.15357i 0.542039 0.0569706i
\(411\) 2.61828 + 13.5274i 0.129150 + 0.667258i
\(412\) −1.67290 + 15.9166i −0.0824178 + 0.784153i
\(413\) −5.58372 5.02760i −0.274757 0.247392i
\(414\) 1.71360 + 0.626793i 0.0842189 + 0.0308052i
\(415\) −1.46619 + 6.89787i −0.0719724 + 0.338603i
\(416\) −5.85808 + 1.24517i −0.287216 + 0.0610496i
\(417\) −7.91296 + 22.9216i −0.387499 + 1.12247i
\(418\) −2.37949 0.773145i −0.116385 0.0378157i
\(419\) 11.8830 + 3.86102i 0.580522 + 0.188623i 0.584534 0.811369i \(-0.301277\pi\)
−0.00401257 + 0.999992i \(0.501277\pi\)
\(420\) 0.433883 1.25684i 0.0211713 0.0613273i
\(421\) −4.57066 + 0.971523i −0.222760 + 0.0473491i −0.317940 0.948111i \(-0.602991\pi\)
0.0951793 + 0.995460i \(0.469658\pi\)
\(422\) −2.83854 + 13.3543i −0.138178 + 0.650076i
\(423\) 27.9909 + 10.2384i 1.36097 + 0.497808i
\(424\) −2.90940 2.61963i −0.141293 0.127221i
\(425\) −0.102409 + 0.974352i −0.00496754 + 0.0472630i
\(426\) 2.10182 + 10.8591i 0.101833 + 0.526125i
\(427\) 9.00753 0.946730i 0.435905 0.0458155i
\(428\) 12.0086 + 6.93317i 0.580458 + 0.335128i
\(429\) −6.09978 1.41336i −0.294500 0.0682378i
\(430\) −2.21884 3.05398i −0.107002 0.147276i
\(431\) 12.9255 11.6382i 0.622602 0.560593i −0.296292 0.955097i \(-0.595750\pi\)
0.918894 + 0.394504i \(0.129084\pi\)
\(432\) 4.84656 + 1.87372i 0.233180 + 0.0901495i
\(433\) 5.30566i 0.254974i −0.991840 0.127487i \(-0.959309\pi\)
0.991840 0.127487i \(-0.0406911\pi\)
\(434\) −3.03255 + 3.01195i −0.145567 + 0.144578i
\(435\) −10.0860 + 10.7987i −0.483587 + 0.517756i
\(436\) 2.77250 + 8.53289i 0.132779 + 0.408651i
\(437\) −1.68689 1.87348i −0.0806948 0.0896206i
\(438\) −24.2483 2.99692i −1.15863 0.143198i
\(439\) 14.6196 + 25.3219i 0.697757 + 1.20855i 0.969243 + 0.246107i \(0.0791516\pi\)
−0.271486 + 0.962442i \(0.587515\pi\)
\(440\) −0.301806 + 0.522744i −0.0143881 + 0.0249208i
\(441\) −18.9452 + 3.30944i −0.902154 + 0.157593i
\(442\) 4.74690 + 3.44882i 0.225787 + 0.164044i
\(443\) −35.7573 3.75825i −1.69888 0.178560i −0.795078 0.606507i \(-0.792570\pi\)
−0.903803 + 0.427948i \(0.859237\pi\)
\(444\) 1.64141 + 18.9352i 0.0778981 + 0.898623i
\(445\) −2.41785 + 5.43058i −0.114617 + 0.257434i
\(446\) −11.7239 2.49199i −0.555142 0.117999i
\(447\) −2.14996 + 3.57168i −0.101689 + 0.168935i
\(448\) −0.701289 + 0.312234i −0.0331328 + 0.0147517i
\(449\) −5.85188 + 18.0102i −0.276167 + 0.849956i 0.712741 + 0.701428i \(0.247454\pi\)
−0.988908 + 0.148528i \(0.952546\pi\)
\(450\) 0.730402 2.90973i 0.0344315 0.137166i
\(451\) −2.70944 6.08551i −0.127583 0.286556i
\(452\) −0.447385 2.10478i −0.0210432 0.0990007i
\(453\) 6.08799 4.25564i 0.286039 0.199947i
\(454\) −19.8626 8.84340i −0.932198 0.415041i
\(455\) −3.07630 + 3.41658i −0.144219 + 0.160172i
\(456\) −4.70571 5.42202i −0.220365 0.253909i
\(457\) 16.3923 22.5621i 0.766800 1.05541i −0.229818 0.973234i \(-0.573813\pi\)
0.996618 0.0821756i \(-0.0261868\pi\)
\(458\) −1.44515 13.7497i −0.0675273 0.642479i
\(459\) −1.81301 4.75699i −0.0846239 0.222037i
\(460\) −0.526727 + 0.304106i −0.0245588 + 0.0141790i
\(461\) 12.7484 9.26226i 0.593752 0.431386i −0.249903 0.968271i \(-0.580399\pi\)
0.843656 + 0.536884i \(0.180399\pi\)
\(462\) −0.802442 0.0146461i −0.0373330 0.000681397i
\(463\) 38.6431 12.5559i 1.79590 0.583522i 0.796130 0.605125i \(-0.206877\pi\)
0.999767 + 0.0216027i \(0.00687687\pi\)
\(464\) 8.53109 0.396046
\(465\) −6.22982 + 7.36134i −0.288901 + 0.341374i
\(466\) −2.43348 −0.112729
\(467\) −2.79854 + 0.909299i −0.129501 + 0.0420774i −0.373050 0.927811i \(-0.621688\pi\)
0.243550 + 0.969888i \(0.421688\pi\)
\(468\) −12.9044 12.5014i −0.596505 0.577878i
\(469\) −0.452482 + 0.328748i −0.0208937 + 0.0151802i
\(470\) −8.60386 + 4.96744i −0.396867 + 0.229131i
\(471\) −19.3550 + 5.90056i −0.891830 + 0.271883i
\(472\) 1.02310 + 9.73413i 0.0470919 + 0.448050i
\(473\) −1.33932 + 1.84342i −0.0615821 + 0.0847605i
\(474\) −8.73069 + 7.57728i −0.401014 + 0.348036i
\(475\) −2.77352 + 3.08030i −0.127258 + 0.141334i
\(476\) 0.687067 + 0.305902i 0.0314916 + 0.0140210i
\(477\) 1.65311 11.6280i 0.0756906 0.532411i
\(478\) 5.40512 + 25.4291i 0.247225 + 1.16310i
\(479\) 3.55451 + 7.98357i 0.162410 + 0.364779i 0.976358 0.216159i \(-0.0693528\pi\)
−0.813948 + 0.580937i \(0.802686\pi\)
\(480\) −1.51555 + 0.838508i −0.0691753 + 0.0382725i
\(481\) 20.3080 62.5016i 0.925965 2.84983i
\(482\) 12.9711 5.77512i 0.590819 0.263050i
\(483\) −0.692852 0.417059i −0.0315259 0.0189768i
\(484\) −10.4032 2.21128i −0.472874 0.100513i
\(485\) −3.94875 + 8.86904i −0.179304 + 0.402722i
\(486\) 3.44612 + 15.2028i 0.156319 + 0.689612i
\(487\) 26.6813 + 2.80431i 1.20904 + 0.127076i 0.687523 0.726163i \(-0.258698\pi\)
0.521521 + 0.853238i \(0.325365\pi\)
\(488\) −9.54513 6.93495i −0.432088 0.313930i
\(489\) 5.17356 6.85418i 0.233957 0.309957i
\(490\) 3.20535 5.55183i 0.144803 0.250806i
\(491\) 17.5497 + 30.3970i 0.792007 + 1.37180i 0.924722 + 0.380643i \(0.124297\pi\)
−0.132715 + 0.991154i \(0.542369\pi\)
\(492\) 2.34462 18.9704i 0.105703 0.855253i
\(493\) −5.59264 6.21126i −0.251880 0.279741i
\(494\) 7.67102 + 23.6090i 0.345136 + 1.06222i
\(495\) −1.80663 + 0.123440i −0.0812018 + 0.00554820i
\(496\) 5.56109 0.272450i 0.249701 0.0122334i
\(497\) 4.90215i 0.219891i
\(498\) 11.0659 + 5.17084i 0.495874 + 0.231711i
\(499\) −11.6663 + 10.5043i −0.522253 + 0.470239i −0.887589 0.460637i \(-0.847621\pi\)
0.365335 + 0.930876i \(0.380954\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) −3.51493 + 15.1697i −0.157036 + 0.677732i
\(502\) 10.1805 + 5.87769i 0.454376 + 0.262334i
\(503\) −24.8068 + 2.60730i −1.10608 + 0.116254i −0.639916 0.768445i \(-0.721031\pi\)
−0.466164 + 0.884698i \(0.654364\pi\)
\(504\) −1.95108 1.22350i −0.0869081 0.0544989i
\(505\) 1.37918 13.1220i 0.0613725 0.583920i
\(506\) 0.272827 + 0.245654i 0.0121286 + 0.0109207i
\(507\) 15.4469 + 36.4715i 0.686023 + 1.61975i
\(508\) −2.04634 + 9.62728i −0.0907917 + 0.427141i
\(509\) −24.6479 + 5.23906i −1.09250 + 0.232217i −0.718719 0.695301i \(-0.755271\pi\)
−0.373778 + 0.927518i \(0.621938\pi\)
\(510\) 1.60403 + 0.553742i 0.0710277 + 0.0245201i
\(511\) 10.2988 + 3.34627i 0.455591 + 0.148030i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) 5.62410 20.7906i 0.248310 0.917926i
\(514\) 19.8076 4.21023i 0.873674 0.185705i
\(515\) 3.32747 15.6545i 0.146626 0.689820i
\(516\) −6.02062 + 2.54994i −0.265043 + 0.112255i
\(517\) 4.45651 + 4.01266i 0.195997 + 0.176477i
\(518\) 0.880513 8.37752i 0.0386875 0.368087i
\(519\) 15.5165 3.00329i 0.681101 0.131830i
\(520\) 5.95614 0.626016i 0.261194 0.0274526i
\(521\) 31.1524 + 17.9859i 1.36481 + 0.787975i 0.990260 0.139230i \(-0.0444629\pi\)
0.374553 + 0.927206i \(0.377796\pi\)
\(522\) 14.2778 + 21.2406i 0.624921 + 0.929674i
\(523\) −2.45922 3.38483i −0.107534 0.148008i 0.751858 0.659325i \(-0.229158\pi\)
−0.859392 + 0.511317i \(0.829158\pi\)
\(524\) −10.4345 + 9.39524i −0.455832 + 0.410433i
\(525\) −0.562882 + 1.20460i −0.0245662 + 0.0525729i
\(526\) 21.9529i 0.957191i
\(527\) −3.84399 3.87028i −0.167447 0.168592i
\(528\) 0.764053 + 0.713630i 0.0332512 + 0.0310568i
\(529\) −6.99308 21.5225i −0.304047 0.935760i
\(530\) 2.61963 + 2.90940i 0.113790 + 0.126376i
\(531\) −22.5236 + 18.8385i −0.977441 + 0.817520i
\(532\) 1.59095 + 2.75561i 0.0689765 + 0.119471i
\(533\) −33.0468 + 57.2387i −1.43142 + 2.47928i
\(534\) 8.21797 + 6.20295i 0.355626 + 0.268428i
\(535\) −11.2181 8.15043i −0.485001 0.352374i
\(536\) 0.724588 + 0.0761573i 0.0312974 + 0.00328949i
\(537\) −14.8273 + 1.28532i −0.639845 + 0.0554656i
\(538\) 6.53561 14.6792i 0.281770 0.632867i
\(539\) −3.78502 0.804531i −0.163032 0.0346536i
\(540\) −4.62416 2.37006i −0.198992 0.101991i
\(541\) 25.5168 11.3608i 1.09705 0.488440i 0.223271 0.974756i \(-0.428327\pi\)
0.873782 + 0.486317i \(0.161660\pi\)
\(542\) 0.197076 0.606539i 0.00846515 0.0260531i
\(543\) −16.4319 29.6997i −0.705160 1.27454i
\(544\) −0.398488 0.895018i −0.0170850 0.0383736i
\(545\) −1.86539 8.77595i −0.0799043 0.375920i
\(546\) 4.56221 + 6.52657i 0.195245 + 0.279312i
\(547\) −5.66523 2.52232i −0.242228 0.107847i 0.282032 0.959405i \(-0.408991\pi\)
−0.524260 + 0.851558i \(0.675658\pi\)
\(548\) −5.32294 + 5.91172i −0.227385 + 0.252536i
\(549\) 1.29163 35.3717i 0.0551254 1.50963i
\(550\) 0.354795 0.488333i 0.0151285 0.0208226i
\(551\) −3.69623 35.1673i −0.157465 1.49818i
\(552\) 0.307198 + 1.00767i 0.0130752 + 0.0428892i
\(553\) 4.43717 2.56180i 0.188687 0.108939i
\(554\) 2.64361 1.92069i 0.112316 0.0816025i
\(555\) 0.346840 19.0030i 0.0147226 0.806633i
\(556\) −13.3149 + 4.32629i −0.564680 + 0.183476i
\(557\) −17.7658 −0.752762 −0.376381 0.926465i \(-0.622832\pi\)
−0.376381 + 0.926465i \(0.622832\pi\)
\(558\) 9.98547 + 13.3899i 0.422719 + 0.566841i
\(559\) 22.6078 0.956209
\(560\) 0.730085 0.237219i 0.0308517 0.0100243i
\(561\) 0.0186920 1.02411i 0.000789177 0.0432381i
\(562\) −4.55686 + 3.31075i −0.192220 + 0.139656i
\(563\) 29.2058 16.8620i 1.23088 0.710648i 0.263665 0.964614i \(-0.415069\pi\)
0.967213 + 0.253967i \(0.0817354\pi\)
\(564\) 5.01794 + 16.4598i 0.211293 + 0.693084i
\(565\) 0.224925 + 2.14002i 0.00946266 + 0.0900312i
\(566\) 11.9717 16.4777i 0.503209 0.692608i
\(567\) −0.219117 6.90544i −0.00920203 0.290001i
\(568\) −4.27297 + 4.74562i −0.179290 + 0.199122i
\(569\) 12.3040 + 5.47810i 0.515811 + 0.229654i 0.648097 0.761558i \(-0.275565\pi\)
−0.132286 + 0.991212i \(0.542232\pi\)
\(570\) 4.11318 + 5.88420i 0.172282 + 0.246462i
\(571\) 6.91088 + 32.5131i 0.289211 + 1.36063i 0.847416 + 0.530929i \(0.178157\pi\)
−0.558205 + 0.829703i \(0.688510\pi\)
\(572\) −1.47036 3.30248i −0.0614787 0.138083i
\(573\) −11.2785 20.3852i −0.471165 0.851602i
\(574\) −2.61793 + 8.05716i −0.109270 + 0.336299i
\(575\) 0.555630 0.247382i 0.0231714 0.0103166i
\(576\) 0.822317 + 2.88510i 0.0342632 + 0.120212i
\(577\) 33.6546 + 7.15351i 1.40106 + 0.297804i 0.845635 0.533762i \(-0.179222\pi\)
0.555425 + 0.831567i \(0.312556\pi\)
\(578\) 6.52412 14.6534i 0.271367 0.609501i
\(579\) −42.6420 + 3.69647i −1.77214 + 0.153620i
\(580\) −8.48436 0.891742i −0.352294 0.0370276i
\(581\) −4.37961 3.18197i −0.181697 0.132011i
\(582\) 13.4213 + 10.1305i 0.556331 + 0.419921i
\(583\) 1.18157 2.04653i 0.0489355 0.0847588i
\(584\) −7.05313 12.2164i −0.291861 0.505517i
\(585\) 11.5269 + 13.7818i 0.476580 + 0.569807i
\(586\) 5.93923 + 6.59618i 0.245347 + 0.272486i
\(587\) 3.10175 + 9.54622i 0.128023 + 0.394015i 0.994440 0.105307i \(-0.0335826\pi\)
−0.866417 + 0.499322i \(0.833583\pi\)
\(588\) −8.11467 7.57915i −0.334643 0.312559i
\(589\) −3.53254 22.8062i −0.145556 0.939712i
\(590\) 9.78775i 0.402955i
\(591\) −12.5896 + 26.9425i −0.517869 + 1.10827i
\(592\) −8.15469 + 7.34252i −0.335156 + 0.301776i
\(593\) 15.7259 + 21.6449i 0.645786 + 0.888848i 0.998908 0.0467297i \(-0.0148800\pi\)
−0.353122 + 0.935577i \(0.614880\pi\)
\(594\) −0.498053 + 3.09667i −0.0204353 + 0.127058i
\(595\) −0.651327 0.376044i −0.0267018 0.0154163i
\(596\) −2.39370 + 0.251587i −0.0980496 + 0.0103054i
\(597\) −4.33115 + 0.838311i −0.177262 + 0.0343098i
\(598\) 0.380751 3.62260i 0.0155701 0.148139i
\(599\) 0.788528 + 0.709994i 0.0322184 + 0.0290096i 0.685083 0.728465i \(-0.259766\pi\)
−0.652864 + 0.757475i \(0.726433\pi\)
\(600\) 1.59490 0.675496i 0.0651115 0.0275770i
\(601\) −2.82272 + 13.2799i −0.115141 + 0.541697i 0.882330 + 0.470630i \(0.155973\pi\)
−0.997472 + 0.0710661i \(0.977360\pi\)
\(602\) 2.83452 0.602496i 0.115526 0.0245559i
\(603\) 1.02307 + 1.93153i 0.0416625 + 0.0786578i
\(604\) 4.07862 + 1.32522i 0.165957 + 0.0539226i
\(605\) 10.1151 + 3.28660i 0.411238 + 0.133619i
\(606\) −21.6021 7.45746i −0.877526 0.302939i
\(607\) −2.96992 + 0.631277i −0.120545 + 0.0256227i −0.267789 0.963477i \(-0.586293\pi\)
0.147244 + 0.989100i \(0.452960\pi\)
\(608\) 0.861785 4.05438i 0.0349500 0.164427i
\(609\) −4.42379 10.4449i −0.179261 0.423250i
\(610\) 8.76795 + 7.89469i 0.355004 + 0.319647i
\(611\) 6.21940 59.1736i 0.251610 2.39391i
\(612\) 1.56148 2.49006i 0.0631193 0.100655i
\(613\) 25.2070 2.64936i 1.01810 0.107007i 0.419253 0.907869i \(-0.362292\pi\)
0.598848 + 0.800863i \(0.295625\pi\)
\(614\) 4.58205 + 2.64545i 0.184917 + 0.106762i
\(615\) −4.31472 + 18.6214i −0.173986 + 0.750889i
\(616\) −0.272361 0.374872i −0.0109737 0.0151040i
\(617\) 5.39004 4.85322i 0.216995 0.195383i −0.553463 0.832874i \(-0.686694\pi\)
0.770458 + 0.637490i \(0.220027\pi\)
\(618\) −25.1137 11.7351i −1.01022 0.472053i
\(619\) 8.74465i 0.351477i −0.984437 0.175739i \(-0.943769\pi\)
0.984437 0.175739i \(-0.0562313\pi\)
\(620\) −5.55911 0.310335i −0.223259 0.0124634i
\(621\) −1.99475 + 2.45130i −0.0800464 + 0.0983675i
\(622\) 3.05067 + 9.38900i 0.122321 + 0.376465i
\(623\) −3.05347 3.39122i −0.122335 0.135867i
\(624\) 1.27237 10.2948i 0.0509357 0.412123i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −7.21867 + 12.5031i −0.288516 + 0.499724i
\(627\) 2.61072 3.45881i 0.104262 0.138132i
\(628\) −9.45122 6.86671i −0.377145 0.274012i
\(629\) 10.6918 + 1.12375i 0.426309 + 0.0448069i
\(630\) 1.81250 + 1.42074i 0.0722119 + 0.0566036i
\(631\) −17.7257 + 39.8127i −0.705651 + 1.58492i 0.101679 + 0.994817i \(0.467579\pi\)
−0.807330 + 0.590100i \(0.799088\pi\)
\(632\) −6.52848 1.38767i −0.259689 0.0551986i
\(633\) −20.2598 12.1953i −0.805253 0.484718i
\(634\) 6.31898 2.81339i 0.250959 0.111734i
\(635\) 3.04146 9.36064i 0.120696 0.371466i
\(636\) 5.93337 3.28274i 0.235273 0.130169i
\(637\) 15.6160 + 35.0741i 0.618729 + 1.38969i
\(638\) 1.07064 + 5.03695i 0.0423869 + 0.199415i
\(639\) −18.9669 2.69644i −0.750318 0.106670i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 3.20094 3.55500i 0.126429 0.140414i −0.676606 0.736345i \(-0.736550\pi\)
0.803036 + 0.595931i \(0.203217\pi\)
\(642\) −18.1386 + 15.7423i −0.715872 + 0.621298i
\(643\) 9.33028 12.8420i 0.367950 0.506440i −0.584392 0.811471i \(-0.698667\pi\)
0.952342 + 0.305031i \(0.0986670\pi\)
\(644\) −0.0488042 0.464341i −0.00192315 0.0182976i
\(645\) 6.25418 1.90665i 0.246258 0.0750742i
\(646\) −3.51684 + 2.03045i −0.138368 + 0.0798868i
\(647\) 10.8392 7.87517i 0.426135 0.309605i −0.353967 0.935258i \(-0.615167\pi\)
0.780101 + 0.625653i \(0.215167\pi\)
\(648\) −5.80703 + 6.87593i −0.228122 + 0.270112i
\(649\) −5.61885 + 1.82568i −0.220559 + 0.0716640i
\(650\) −5.98895 −0.234906
\(651\) −3.21727 6.66737i −0.126095 0.261315i
\(652\) 4.95801 0.194171
\(653\) 10.0828 3.27611i 0.394571 0.128204i −0.105010 0.994471i \(-0.533487\pi\)
0.499581 + 0.866267i \(0.333487\pi\)
\(654\) −15.5374 0.283586i −0.607560 0.0110891i
\(655\) 11.3594 8.25307i 0.443848 0.322474i
\(656\) 9.55739 5.51796i 0.373153 0.215440i
\(657\) 18.6119 38.0063i 0.726119 1.48277i
\(658\) −0.797195 7.58480i −0.0310779 0.295686i
\(659\) −28.8165 + 39.6624i −1.12253 + 1.54503i −0.320995 + 0.947081i \(0.604017\pi\)
−0.801535 + 0.597948i \(0.795983\pi\)
\(660\) −0.685273 0.789586i −0.0266742 0.0307346i
\(661\) −5.57231 + 6.18868i −0.216738 + 0.240712i −0.841703 0.539941i \(-0.818447\pi\)
0.624965 + 0.780653i \(0.285113\pi\)
\(662\) −12.2370 5.44825i −0.475604 0.211752i
\(663\) −8.32951 + 5.82250i −0.323491 + 0.226127i
\(664\) 1.46619 + 6.89787i 0.0568991 + 0.267689i
\(665\) −1.29420 2.90681i −0.0501868 0.112721i
\(666\) −31.9291 8.01486i −1.23723 0.310570i
\(667\) −1.60340 + 4.93476i −0.0620840 + 0.191075i
\(668\) −8.21302 + 3.65667i −0.317771 + 0.141481i
\(669\) 10.7064 17.7863i 0.413932 0.687658i
\(670\) −0.712658 0.151480i −0.0275324 0.00585219i
\(671\) 2.89665 6.50598i 0.111824 0.251161i
\(672\) −0.114829 1.32465i −0.00442962 0.0510996i
\(673\) −14.3216 1.50526i −0.552057 0.0580235i −0.175607 0.984460i \(-0.556189\pi\)
−0.376450 + 0.926437i \(0.622855\pi\)
\(674\) 5.53778 + 4.02343i 0.213307 + 0.154977i
\(675\) 4.35108 + 2.84043i 0.167473 + 0.109328i
\(676\) −11.4338 + 19.8039i −0.439761 + 0.761688i
\(677\) 18.8427 + 32.6365i 0.724184 + 1.25432i 0.959309 + 0.282359i \(0.0911168\pi\)
−0.235125 + 0.971965i \(0.575550\pi\)
\(678\) 3.69889 + 0.457158i 0.142055 + 0.0175570i
\(679\) −4.98683 5.53844i −0.191377 0.212546i
\(680\) 0.302750 + 0.931768i 0.0116099 + 0.0357317i
\(681\) 25.7052 27.5215i 0.985025 1.05462i
\(682\) 0.858768 + 3.24920i 0.0328839 + 0.124418i
\(683\) 4.55653i 0.174351i −0.996193 0.0871755i \(-0.972216\pi\)
0.996193 0.0871755i \(-0.0277841\pi\)
\(684\) 11.5368 4.63981i 0.441121 0.177408i
\(685\) 5.91172 5.32294i 0.225875 0.203379i
\(686\) 6.05114 + 8.32868i 0.231034 + 0.317991i
\(687\) 23.3283 + 5.40533i 0.890028 + 0.206226i
\(688\) −3.26918 1.88746i −0.124636 0.0719588i
\(689\) −23.3182 + 2.45084i −0.888353 + 0.0933696i
\(690\) −0.200185 1.03426i −0.00762091 0.0393736i
\(691\) 1.85137 17.6146i 0.0704294 0.670091i −0.901171 0.433464i \(-0.857291\pi\)
0.971600 0.236627i \(-0.0760420\pi\)
\(692\) 6.78101 + 6.10565i 0.257775 + 0.232102i
\(693\) 0.477524 1.30551i 0.0181396 0.0495922i
\(694\) 7.42275 34.9213i 0.281764 1.32559i
\(695\) 13.6942 2.91080i 0.519452 0.110413i
\(696\) −4.82182 + 13.9674i −0.182770 + 0.529434i
\(697\) −10.2829 3.34112i −0.389493 0.126554i
\(698\) 3.40256 + 1.10556i 0.128789 + 0.0418460i
\(699\) 1.37542 3.98418i 0.0520230 0.150696i
\(700\) −0.750882 + 0.159605i −0.0283807 + 0.00603250i
\(701\) 2.71288 12.7631i 0.102464 0.482055i −0.896754 0.442528i \(-0.854082\pi\)
0.999219 0.0395270i \(-0.0125851\pi\)
\(702\) 27.7614 14.0617i 1.04779 0.530723i
\(703\) 33.8008 + 30.4344i 1.27482 + 1.14786i
\(704\) −0.0630947 + 0.600306i −0.00237797 + 0.0226249i
\(705\) −3.26993 16.8942i −0.123153 0.636272i
\(706\) 4.71512 0.495579i 0.177456 0.0186513i
\(707\) 8.77168 + 5.06433i 0.329893 + 0.190464i
\(708\) −16.5153 3.82672i −0.620684 0.143817i
\(709\) 12.3468 + 16.9940i 0.463695 + 0.638221i 0.975270 0.221017i \(-0.0709377\pi\)
−0.511575 + 0.859239i \(0.670938\pi\)
\(710\) 4.74562 4.27297i 0.178100 0.160362i
\(711\) −7.47116 18.5769i −0.280190 0.696689i
\(712\) 5.94451i 0.222780i
\(713\) −0.887599 + 3.26799i −0.0332409 + 0.122387i
\(714\) −0.889167 + 0.951993i −0.0332762 + 0.0356275i
\(715\) 1.11710 + 3.43808i 0.0417771 + 0.128577i
\(716\) −5.74960 6.38558i −0.214873 0.238640i
\(717\) −44.6884 5.52319i −1.66892 0.206267i
\(718\) 11.2972 + 19.5673i 0.421606 + 0.730243i
\(719\) 22.0550 38.2004i 0.822512 1.42463i −0.0812933 0.996690i \(-0.525905\pi\)
0.903806 0.427943i \(-0.140762\pi\)
\(720\) −0.516237 2.95525i −0.0192390 0.110136i
\(721\) 9.93940 + 7.22139i 0.370162 + 0.268939i
\(722\) 1.80937 + 0.190173i 0.0673378 + 0.00707749i
\(723\) 2.12389 + 24.5010i 0.0789884 + 0.911200i
\(724\) 7.97065 17.9024i 0.296227 0.665336i
\(725\) 8.34467 + 1.77371i 0.309913 + 0.0658741i
\(726\) 9.50034 15.7827i 0.352591 0.585752i
\(727\) −8.76250 + 3.90132i −0.324983 + 0.144692i −0.562742 0.826632i \(-0.690254\pi\)
0.237759 + 0.971324i \(0.423587\pi\)
\(728\) −1.42069 + 4.37244i −0.0526544 + 0.162054i
\(729\) −26.8383 2.95057i −0.994011 0.109280i
\(730\) 5.73753 + 12.8867i 0.212356 + 0.476958i
\(731\) 0.768933 + 3.61754i 0.0284400 + 0.133800i
\(732\) 16.7491 11.7080i 0.619065 0.432739i
\(733\) 8.69275 + 3.87026i 0.321074 + 0.142951i 0.560944 0.827854i \(-0.310438\pi\)
−0.239870 + 0.970805i \(0.577105\pi\)
\(734\) −14.0731 + 15.6298i −0.519448 + 0.576905i
\(735\) 7.27798 + 8.38584i 0.268452 + 0.309316i
\(736\) −0.357498 + 0.492054i −0.0131776 + 0.0181374i
\(737\) 0.0459695 + 0.437371i 0.00169331 + 0.0161108i
\(738\) 29.7339 + 14.5609i 1.09452 + 0.535993i
\(739\) 24.7823 14.3080i 0.911630 0.526330i 0.0306750 0.999529i \(-0.490234\pi\)
0.880955 + 0.473199i \(0.156901\pi\)
\(740\) 8.87752 6.44990i 0.326344 0.237103i
\(741\) −42.9892 0.784633i −1.57925 0.0288242i
\(742\) −2.85827 + 0.928708i −0.104930 + 0.0340940i
\(743\) 31.0820 1.14029 0.570144 0.821545i \(-0.306888\pi\)
0.570144 + 0.821545i \(0.306888\pi\)
\(744\) −2.69709 + 9.25882i −0.0988802 + 0.339445i
\(745\) 2.40688 0.0881813
\(746\) −9.28974 + 3.01842i −0.340122 + 0.110512i
\(747\) −14.7204 + 15.1949i −0.538590 + 0.555951i
\(748\) 0.478429 0.347599i 0.0174931 0.0127095i
\(749\) 9.21849 5.32230i 0.336836 0.194473i
\(750\) −1.65677 + 0.505083i −0.0604967 + 0.0184430i
\(751\) −3.16153 30.0799i −0.115366 1.09763i −0.887065 0.461644i \(-0.847260\pi\)
0.771699 0.635988i \(-0.219407\pi\)
\(752\) −5.83958 + 8.03749i −0.212948 + 0.293097i
\(753\) −15.3772 + 13.3457i −0.560377 + 0.486345i
\(754\) 34.1874 37.9690i 1.24503 1.38275i
\(755\) −3.91775 1.74430i −0.142582 0.0634815i
\(756\) 3.10592 2.50286i 0.112961 0.0910280i
\(757\) −4.20373 19.7770i −0.152787 0.718807i −0.986120 0.166035i \(-0.946903\pi\)
0.833333 0.552772i \(-0.186430\pi\)
\(758\) −10.8203 24.3028i −0.393011 0.882716i
\(759\) −0.556398 + 0.307837i −0.0201960 + 0.0111738i
\(760\) −1.28086 + 3.94209i −0.0464617 + 0.142995i
\(761\) 4.50194 2.00439i 0.163195 0.0726592i −0.323513 0.946224i \(-0.604864\pi\)
0.486708 + 0.873564i \(0.338197\pi\)
\(762\) −14.6055 8.79173i −0.529102 0.318491i
\(763\) 6.73692 + 1.43198i 0.243893 + 0.0518410i
\(764\) 5.47087 12.2878i 0.197929 0.444556i
\(765\) −1.81321 + 2.31320i −0.0655569 + 0.0836340i
\(766\) −27.1040 2.84875i −0.979309 0.102929i
\(767\) 47.4232 + 34.4550i 1.71235 + 1.24410i
\(768\) −1.04348 + 1.38245i −0.0376532 + 0.0498847i
\(769\) 27.2147 47.1372i 0.981387 1.69981i 0.324383 0.945926i \(-0.394843\pi\)
0.657004 0.753887i \(-0.271823\pi\)
\(770\) 0.231684 + 0.401288i 0.00834930 + 0.0144614i
\(771\) −4.30219 + 34.8093i −0.154940 + 1.25363i
\(772\) −16.5354 18.3644i −0.595120 0.660948i
\(773\) 7.77843 + 23.9396i 0.279771 + 0.861046i