Properties

Label 930.2.br.b.11.11
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 11.11
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.52844 + 0.814785i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.70541 - 0.302593i) q^{6} +(-0.239608 - 2.27972i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.67225 + 2.49070i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.52844 + 0.814785i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.70541 - 0.302593i) q^{6} +(-0.239608 - 2.27972i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.67225 + 2.49070i) q^{9} +(0.669131 - 0.743145i) q^{10} +(4.80333 + 2.13858i) q^{11} +(1.71545 - 0.239219i) q^{12} +(0.102539 + 0.482408i) q^{13} +(0.932352 + 2.09410i) q^{14} +(-1.73106 + 0.0585945i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.224735 - 0.100059i) q^{17} +(-2.36007 - 1.85204i) q^{18} +(-2.25806 - 0.479966i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(1.49125 - 3.67963i) q^{21} +(-5.22910 - 0.549600i) q^{22} +(0.241527 + 0.175480i) q^{23} +(-1.55757 + 0.757614i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.246593 - 0.427111i) q^{26} +(0.526546 + 5.16941i) q^{27} +(-1.53383 - 1.70349i) q^{28} +(0.303900 + 0.935309i) q^{29} +(1.62823 - 0.590653i) q^{30} +(4.86007 - 2.71656i) q^{31} +1.00000i q^{32} +(5.59911 + 7.18237i) q^{33} +(-0.182816 + 0.164608i) q^{34} +(1.34736 + 1.85449i) q^{35} +(2.81687 + 1.03209i) q^{36} +(4.06789 + 2.34860i) q^{37} +(2.29586 - 0.241305i) q^{38} +(-0.236334 + 0.820878i) q^{39} +(0.104528 - 0.994522i) q^{40} +(7.06425 + 6.36068i) q^{41} +(-0.281196 + 3.96036i) q^{42} +(0.238577 - 1.12242i) q^{43} +(5.14300 - 1.09318i) q^{44} +(-2.69356 - 1.32088i) q^{45} +(-0.283933 - 0.0922553i) q^{46} +(3.93760 + 1.27940i) q^{47} +(1.24722 - 1.20185i) q^{48} +(1.70734 - 0.362906i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(0.425021 + 0.0301776i) q^{51} +(0.366508 + 0.330005i) q^{52} +(0.504232 - 4.79745i) q^{53} +(-2.09821 - 4.75368i) q^{54} +(-5.22910 + 0.549600i) q^{55} +(1.98517 + 1.14614i) q^{56} +(-3.06024 - 2.57343i) q^{57} +(-0.578053 - 0.795622i) q^{58} +(-10.8675 + 9.78515i) q^{59} +(-1.36602 + 1.06490i) q^{60} +11.6416i q^{61} +(-3.78274 + 4.08544i) q^{62} +(5.27740 - 4.40905i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.330005 - 0.366508i) q^{65} +(-7.54455 - 5.10062i) q^{66} +(-4.94015 - 8.55660i) q^{67} +(0.123002 - 0.213045i) q^{68} +(0.226181 + 0.465003i) q^{69} +(-1.85449 - 1.34736i) q^{70} +(6.46130 + 0.679110i) q^{71} +(-2.99794 - 0.111118i) q^{72} +(-0.845091 + 1.89810i) q^{73} +(-4.59455 - 0.976602i) q^{74} +(1.46984 - 0.916274i) q^{75} +(-2.10893 + 0.938954i) q^{76} +(3.72444 - 11.4627i) q^{77} +(-0.0288980 - 0.853733i) q^{78} +(-1.47932 - 3.32261i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-3.40716 + 8.33014i) q^{81} +(-8.68406 - 3.86639i) q^{82} +(0.758476 - 0.842373i) q^{83} +(-0.956386 - 3.85342i) q^{84} +(-0.144597 + 0.199021i) q^{85} +(0.119946 + 1.14121i) q^{86} +(-0.297583 + 1.67718i) q^{87} +(-4.55348 + 2.62895i) q^{88} +(-11.3890 + 8.27458i) q^{89} +(2.96990 + 0.423879i) q^{90} +(1.07518 - 0.349348i) q^{91} +0.298544 q^{92} +(9.64174 - 0.192172i) q^{93} -4.14024 q^{94} +(2.19552 - 0.713368i) q^{95} +(-0.814785 + 1.52844i) q^{96} +(-2.96658 + 2.15535i) q^{97} +(-1.51163 + 0.872742i) q^{98} +(2.70581 + 15.5399i) 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
\(3\) 1.52844 + 0.814785i 0.882444 + 0.470417i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −1.70541 0.302593i −0.696232 0.123533i
\(7\) −0.239608 2.27972i −0.0905632 0.861652i −0.941643 0.336614i \(-0.890718\pi\)
0.851079 0.525037i \(-0.175949\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) 1.67225 + 2.49070i 0.557417 + 0.830233i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 4.80333 + 2.13858i 1.44826 + 0.644806i 0.972103 0.234555i \(-0.0753631\pi\)
0.476156 + 0.879361i \(0.342030\pi\)
\(12\) 1.71545 0.239219i 0.495208 0.0690564i
\(13\) 0.102539 + 0.482408i 0.0284392 + 0.133796i 0.990077 0.140527i \(-0.0448797\pi\)
−0.961638 + 0.274323i \(0.911546\pi\)
\(14\) 0.932352 + 2.09410i 0.249181 + 0.559671i
\(15\) −1.73106 + 0.0585945i −0.446958 + 0.0151290i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.224735 0.100059i 0.0545063 0.0242678i −0.379302 0.925273i \(-0.623836\pi\)
0.433809 + 0.901005i \(0.357169\pi\)
\(18\) −2.36007 1.85204i −0.556274 0.436530i
\(19\) −2.25806 0.479966i −0.518035 0.110112i −0.0585276 0.998286i \(-0.518641\pi\)
−0.459507 + 0.888174i \(0.651974\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 1.49125 3.67963i 0.325418 0.802962i
\(22\) −5.22910 0.549600i −1.11485 0.117175i
\(23\) 0.241527 + 0.175480i 0.0503620 + 0.0365901i 0.612681 0.790330i \(-0.290091\pi\)
−0.562319 + 0.826920i \(0.690091\pi\)
\(24\) −1.55757 + 0.757614i −0.317937 + 0.154647i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.246593 0.427111i −0.0483608 0.0837634i
\(27\) 0.526546 + 5.16941i 0.101334 + 0.994852i
\(28\) −1.53383 1.70349i −0.289867 0.321930i
\(29\) 0.303900 + 0.935309i 0.0564329 + 0.173683i 0.975300 0.220885i \(-0.0708945\pi\)
−0.918867 + 0.394567i \(0.870894\pi\)
\(30\) 1.62823 0.590653i 0.297273 0.107838i
\(31\) 4.86007 2.71656i 0.872895 0.487908i
\(32\) 1.00000i 0.176777i
\(33\) 5.59911 + 7.18237i 0.974680 + 1.25029i
\(34\) −0.182816 + 0.164608i −0.0313527 + 0.0282301i
\(35\) 1.34736 + 1.85449i 0.227746 + 0.313466i
\(36\) 2.81687 + 1.03209i 0.469479 + 0.172016i
\(37\) 4.06789 + 2.34860i 0.668757 + 0.386107i 0.795606 0.605815i \(-0.207153\pi\)
−0.126848 + 0.991922i \(0.540486\pi\)
\(38\) 2.29586 0.241305i 0.372438 0.0391448i
\(39\) −0.236334 + 0.820878i −0.0378438 + 0.131446i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 7.06425 + 6.36068i 1.10325 + 0.993372i 0.999999 0.00128345i \(-0.000408534\pi\)
0.103252 + 0.994655i \(0.467075\pi\)
\(42\) −0.281196 + 3.96036i −0.0433896 + 0.611097i
\(43\) 0.238577 1.12242i 0.0363827 0.171167i −0.956205 0.292698i \(-0.905447\pi\)
0.992588 + 0.121531i \(0.0387803\pi\)
\(44\) 5.14300 1.09318i 0.775337 0.164803i
\(45\) −2.69356 1.32088i −0.401532 0.196906i
\(46\) −0.283933 0.0922553i −0.0418636 0.0136023i
\(47\) 3.93760 + 1.27940i 0.574358 + 0.186620i 0.581772 0.813352i \(-0.302360\pi\)
−0.00741320 + 0.999973i \(0.502360\pi\)
\(48\) 1.24722 1.20185i 0.180021 0.173472i
\(49\) 1.70734 0.362906i 0.243906 0.0518438i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 0.425021 + 0.0301776i 0.0595148 + 0.00422571i
\(52\) 0.366508 + 0.330005i 0.0508255 + 0.0457635i
\(53\) 0.504232 4.79745i 0.0692616 0.658980i −0.903724 0.428115i \(-0.859178\pi\)
0.972986 0.230865i \(-0.0741556\pi\)
\(54\) −2.09821 4.75368i −0.285530 0.646895i
\(55\) −5.22910 + 0.549600i −0.705091 + 0.0741081i
\(56\) 1.98517 + 1.14614i 0.265279 + 0.153159i
\(57\) −3.06024 2.57343i −0.405338 0.340860i
\(58\) −0.578053 0.795622i −0.0759021 0.104470i
\(59\) −10.8675 + 9.78515i −1.41483 + 1.27392i −0.502430 + 0.864618i \(0.667560\pi\)
−0.912400 + 0.409300i \(0.865773\pi\)
\(60\) −1.36602 + 1.06490i −0.176352 + 0.137477i
\(61\) 11.6416i 1.49056i 0.666753 + 0.745279i \(0.267684\pi\)
−0.666753 + 0.745279i \(0.732316\pi\)
\(62\) −3.78274 + 4.08544i −0.480409 + 0.518852i
\(63\) 5.27740 4.40905i 0.664890 0.555487i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −0.330005 0.366508i −0.0409321 0.0454597i
\(66\) −7.54455 5.10062i −0.928670 0.627843i
\(67\) −4.94015 8.55660i −0.603536 1.04535i −0.992281 0.124010i \(-0.960425\pi\)
0.388745 0.921345i \(-0.372909\pi\)
\(68\) 0.123002 0.213045i 0.0149162 0.0258355i
\(69\) 0.226181 + 0.465003i 0.0272290 + 0.0559798i
\(70\) −1.85449 1.34736i −0.221654 0.161041i
\(71\) 6.46130 + 0.679110i 0.766816 + 0.0805956i 0.479856 0.877347i \(-0.340689\pi\)
0.286959 + 0.957943i \(0.407356\pi\)
\(72\) −2.99794 0.111118i −0.353311 0.0130953i
\(73\) −0.845091 + 1.89810i −0.0989104 + 0.222156i −0.956222 0.292641i \(-0.905466\pi\)
0.857312 + 0.514797i \(0.172133\pi\)
\(74\) −4.59455 0.976602i −0.534106 0.113528i
\(75\) 1.46984 0.916274i 0.169723 0.105802i
\(76\) −2.10893 + 0.938954i −0.241910 + 0.107705i
\(77\) 3.72444 11.4627i 0.424439 1.30629i
\(78\) −0.0288980 0.853733i −0.00327205 0.0966662i
\(79\) −1.47932 3.32261i −0.166437 0.373823i 0.811002 0.585044i \(-0.198923\pi\)
−0.977438 + 0.211221i \(0.932256\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −3.40716 + 8.33014i −0.378574 + 0.925571i
\(82\) −8.68406 3.86639i −0.958994 0.426972i
\(83\) 0.758476 0.842373i 0.0832536 0.0924625i −0.700079 0.714066i \(-0.746852\pi\)
0.783332 + 0.621603i \(0.213518\pi\)
\(84\) −0.956386 3.85342i −0.104350 0.420443i
\(85\) −0.144597 + 0.199021i −0.0156838 + 0.0215869i
\(86\) 0.119946 + 1.14121i 0.0129341 + 0.123060i
\(87\) −0.297583 + 1.67718i −0.0319043 + 0.179812i
\(88\) −4.55348 + 2.62895i −0.485402 + 0.280247i
\(89\) −11.3890 + 8.27458i −1.20723 + 0.877104i −0.994976 0.100111i \(-0.968080\pi\)
−0.212254 + 0.977215i \(0.568080\pi\)
\(90\) 2.96990 + 0.423879i 0.313055 + 0.0446808i
\(91\) 1.07518 0.349348i 0.112710 0.0366217i
\(92\) 0.298544 0.0311254
\(93\) 9.64174 0.192172i 0.999801 0.0199273i
\(94\) −4.14024 −0.427033
\(95\) 2.19552 0.713368i 0.225256 0.0731900i
\(96\) −0.814785 + 1.52844i −0.0831587 + 0.155996i
\(97\) −2.96658 + 2.15535i −0.301211 + 0.218842i −0.728116 0.685454i \(-0.759604\pi\)
0.426905 + 0.904296i \(0.359604\pi\)
\(98\) −1.51163 + 0.872742i −0.152698 + 0.0881602i
\(99\) 2.70581 + 15.5399i 0.271944 + 1.56182i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 3.90718 5.37777i 0.388779 0.535108i −0.569105 0.822265i \(-0.692710\pi\)
0.957884 + 0.287157i \(0.0927101\pi\)
\(102\) −0.413544 + 0.102638i −0.0409470 + 0.0101627i
\(103\) 4.93280 5.47843i 0.486044 0.539806i −0.449377 0.893342i \(-0.648354\pi\)
0.935421 + 0.353536i \(0.115021\pi\)
\(104\) −0.450547 0.200597i −0.0441798 0.0196701i
\(105\) 0.548354 + 3.93228i 0.0535139 + 0.383752i
\(106\) 1.00294 + 4.71846i 0.0974141 + 0.458297i
\(107\) −4.02477 9.03979i −0.389090 0.873910i −0.996814 0.0797616i \(-0.974584\pi\)
0.607724 0.794148i \(-0.292083\pi\)
\(108\) 3.46448 + 3.87264i 0.333370 + 0.372645i
\(109\) 5.37727 16.5495i 0.515049 1.58516i −0.268144 0.963379i \(-0.586410\pi\)
0.783193 0.621779i \(-0.213590\pi\)
\(110\) 4.80333 2.13858i 0.457980 0.203906i
\(111\) 4.30392 + 6.90415i 0.408510 + 0.655313i
\(112\) −2.24218 0.476590i −0.211866 0.0450336i
\(113\) −4.07478 + 9.15212i −0.383323 + 0.860959i 0.614101 + 0.789228i \(0.289519\pi\)
−0.997424 + 0.0717308i \(0.977148\pi\)
\(114\) 3.70569 + 1.50181i 0.347070 + 0.140658i
\(115\) −0.296909 0.0312064i −0.0276869 0.00291001i
\(116\) 0.795622 + 0.578053i 0.0738716 + 0.0536709i
\(117\) −1.03006 + 1.06210i −0.0952293 + 0.0981912i
\(118\) 7.31184 12.6645i 0.673109 1.16586i
\(119\) −0.281954 0.488358i −0.0258466 0.0447677i
\(120\) 0.970087 1.43490i 0.0885564 0.130988i
\(121\) 11.1380 + 12.3700i 1.01255 + 1.12455i
\(122\) −3.59746 11.0718i −0.325699 1.00240i
\(123\) 5.61469 + 15.4778i 0.506259 + 1.39558i
\(124\) 2.33513 5.05442i 0.209701 0.453900i
\(125\) 1.00000i 0.0894427i
\(126\) −3.65664 + 5.82406i −0.325759 + 0.518848i
\(127\) −3.76156 + 3.38692i −0.333784 + 0.300540i −0.818931 0.573892i \(-0.805433\pi\)
0.485147 + 0.874433i \(0.338766\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 1.27918 1.52116i 0.112626 0.133931i
\(130\) 0.427111 + 0.246593i 0.0374601 + 0.0216276i
\(131\) −6.90739 + 0.725996i −0.603502 + 0.0634306i −0.401352 0.915924i \(-0.631459\pi\)
−0.202150 + 0.979355i \(0.564793\pi\)
\(132\) 8.75147 + 2.51959i 0.761718 + 0.219302i
\(133\) −0.553136 + 5.26274i −0.0479630 + 0.456337i
\(134\) 7.34250 + 6.61122i 0.634295 + 0.571122i
\(135\) −3.04070 4.21356i −0.261702 0.362646i
\(136\) −0.0511470 + 0.240628i −0.00438582 + 0.0206337i
\(137\) −7.24675 + 1.54034i −0.619131 + 0.131600i −0.506790 0.862069i \(-0.669168\pi\)
−0.112341 + 0.993670i \(0.535835\pi\)
\(138\) −0.358805 0.372351i −0.0305435 0.0316966i
\(139\) 16.8089 + 5.46155i 1.42571 + 0.463242i 0.917413 0.397937i \(-0.130274\pi\)
0.508301 + 0.861180i \(0.330274\pi\)
\(140\) 2.18008 + 0.708351i 0.184251 + 0.0598666i
\(141\) 4.97595 + 5.16379i 0.419050 + 0.434870i
\(142\) −6.35492 + 1.35078i −0.533293 + 0.113355i
\(143\) −0.539140 + 2.53645i −0.0450851 + 0.212109i
\(144\) 2.88555 0.820736i 0.240462 0.0683946i
\(145\) −0.730840 0.658051i −0.0606930 0.0546482i
\(146\) 0.217182 2.06635i 0.0179741 0.171013i
\(147\) 2.90526 + 0.836436i 0.239621 + 0.0689881i
\(148\) 4.67147 0.490991i 0.383992 0.0403592i
\(149\) −8.29682 4.79017i −0.679702 0.392426i 0.120041 0.992769i \(-0.461697\pi\)
−0.799743 + 0.600343i \(0.795031\pi\)
\(150\) −1.11476 + 1.32564i −0.0910198 + 0.108238i
\(151\) −5.12296 7.05114i −0.416900 0.573814i 0.547984 0.836489i \(-0.315395\pi\)
−0.964884 + 0.262675i \(0.915395\pi\)
\(152\) 1.71556 1.54469i 0.139150 0.125291i
\(153\) 0.625030 + 0.392425i 0.0505306 + 0.0317257i
\(154\) 12.0525i 0.971222i
\(155\) −2.85067 + 4.78264i −0.228971 + 0.384151i
\(156\) 0.291302 + 0.803018i 0.0233228 + 0.0642929i
\(157\) −4.28458 13.1866i −0.341946 1.05240i −0.963198 0.268792i \(-0.913376\pi\)
0.621252 0.783611i \(-0.286624\pi\)
\(158\) 2.43366 + 2.70286i 0.193612 + 0.215028i
\(159\) 4.67958 6.92177i 0.371115 0.548932i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 0.342173 0.592660i 0.0269670 0.0467082i
\(162\) 0.666249 8.97531i 0.0523454 0.705167i
\(163\) 0.740024 + 0.537659i 0.0579631 + 0.0421127i 0.616390 0.787441i \(-0.288595\pi\)
−0.558426 + 0.829554i \(0.688595\pi\)
\(164\) 9.45382 + 0.993636i 0.738219 + 0.0775900i
\(165\) −8.44016 3.42056i −0.657066 0.266290i
\(166\) −0.461046 + 1.03553i −0.0357841 + 0.0803724i
\(167\) −2.27172 0.482869i −0.175791 0.0373655i 0.119175 0.992873i \(-0.461975\pi\)
−0.294966 + 0.955508i \(0.595308\pi\)
\(168\) 2.10035 + 3.36928i 0.162046 + 0.259946i
\(169\) 11.6539 5.18865i 0.896453 0.399127i
\(170\) 0.0760193 0.233963i 0.00583041 0.0179442i
\(171\) −2.58059 6.42677i −0.197343 0.491468i
\(172\) −0.466728 1.04829i −0.0355877 0.0799312i
\(173\) −3.73588 17.5759i −0.284034 1.33627i −0.856416 0.516287i \(-0.827314\pi\)
0.572382 0.819987i \(-0.306020\pi\)
\(174\) −0.235258 1.68705i −0.0178348 0.127895i
\(175\) −2.09410 0.932352i −0.158299 0.0704792i
\(176\) 3.51822 3.90738i 0.265196 0.294530i
\(177\) −24.5831 + 6.10131i −1.84778 + 0.458603i
\(178\) 8.27458 11.3890i 0.620206 0.853640i
\(179\) −0.107315 1.02103i −0.00802109 0.0763156i 0.989779 0.142609i \(-0.0455492\pi\)
−0.997800 + 0.0662937i \(0.978883\pi\)
\(180\) −2.95553 + 0.514618i −0.220292 + 0.0383573i
\(181\) −0.0640963 + 0.0370060i −0.00476424 + 0.00275063i −0.502380 0.864647i \(-0.667542\pi\)
0.497616 + 0.867397i \(0.334209\pi\)
\(182\) −0.914606 + 0.664500i −0.0677951 + 0.0492560i
\(183\) −9.48543 + 17.7935i −0.701183 + 1.31533i
\(184\) −0.283933 + 0.0922553i −0.0209318 + 0.00680115i
\(185\) −4.69720 −0.345345
\(186\) −9.11045 + 3.16223i −0.668011 + 0.231866i
\(187\) 1.29346 0.0945873
\(188\) 3.93760 1.27940i 0.287179 0.0933102i
\(189\) 11.6586 2.43901i 0.848039 0.177412i
\(190\) −1.86762 + 1.35691i −0.135492 + 0.0984403i
\(191\) 1.20866 0.697818i 0.0874553 0.0504924i −0.455635 0.890167i \(-0.650588\pi\)
0.543090 + 0.839675i \(0.317254\pi\)
\(192\) 0.302593 1.70541i 0.0218378 0.123078i
\(193\) −1.68734 16.0539i −0.121457 1.15559i −0.870190 0.492716i \(-0.836004\pi\)
0.748733 0.662872i \(-0.230663\pi\)
\(194\) 2.15535 2.96658i 0.154745 0.212988i
\(195\) −0.205768 0.829069i −0.0147353 0.0593708i
\(196\) 1.16796 1.29715i 0.0834255 0.0926533i
\(197\) −20.1991 8.99323i −1.43913 0.640741i −0.468970 0.883214i \(-0.655375\pi\)
−0.970158 + 0.242473i \(0.922041\pi\)
\(198\) −7.37547 13.9432i −0.524152 0.990898i
\(199\) 1.76623 + 8.30945i 0.125205 + 0.589041i 0.995356 + 0.0962575i \(0.0306872\pi\)
−0.870152 + 0.492784i \(0.835979\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −0.578932 17.1034i −0.0408347 1.20638i
\(202\) −2.05412 + 6.32195i −0.144528 + 0.444811i
\(203\) 2.05942 0.916914i 0.144543 0.0643547i
\(204\) 0.361587 0.225407i 0.0253161 0.0157816i
\(205\) −9.29816 1.97639i −0.649412 0.138037i
\(206\) −2.99845 + 6.73462i −0.208912 + 0.469223i
\(207\) −0.0331736 + 0.895019i −0.00230572 + 0.0622081i
\(208\) 0.490484 + 0.0515519i 0.0340089 + 0.00357448i
\(209\) −9.81977 7.13448i −0.679248 0.493502i
\(210\) −1.73666 3.57037i −0.119841 0.246379i
\(211\) 7.90836 13.6977i 0.544434 0.942988i −0.454208 0.890896i \(-0.650078\pi\)
0.998642 0.0520920i \(-0.0165889\pi\)
\(212\) −2.41194 4.17760i −0.165653 0.286919i
\(213\) 9.32238 + 6.30255i 0.638759 + 0.431844i
\(214\) 6.62124 + 7.35363i 0.452618 + 0.502684i
\(215\) 0.354595 + 1.09133i 0.0241832 + 0.0744282i
\(216\) −4.49163 2.61252i −0.305617 0.177759i
\(217\) −7.35749 10.4287i −0.499459 0.707945i
\(218\) 17.4012i 1.17856i
\(219\) −2.83822 + 2.21257i −0.191789 + 0.149512i
\(220\) −3.90738 + 3.51822i −0.263436 + 0.237198i
\(221\) 0.0713132 + 0.0981542i 0.00479705 + 0.00660257i
\(222\) −6.22677 5.23625i −0.417914 0.351434i
\(223\) 9.27537 + 5.35514i 0.621125 + 0.358607i 0.777307 0.629122i \(-0.216585\pi\)
−0.156182 + 0.987728i \(0.549919\pi\)
\(224\) 2.27972 0.239608i 0.152320 0.0160095i
\(225\) 2.99313 0.202861i 0.199542 0.0135241i
\(226\) 1.04719 9.96336i 0.0696581 0.662753i
\(227\) −14.3618 12.9314i −0.953224 0.858286i 0.0367807 0.999323i \(-0.488290\pi\)
−0.990004 + 0.141037i \(0.954956\pi\)
\(228\) −3.98841 0.283188i −0.264139 0.0187546i
\(229\) 4.20055 19.7621i 0.277580 1.30591i −0.589509 0.807762i \(-0.700679\pi\)
0.867090 0.498152i \(-0.165988\pi\)
\(230\) 0.292020 0.0620709i 0.0192553 0.00409283i
\(231\) 15.0322 14.4853i 0.989045 0.953065i
\(232\) −0.935309 0.303900i −0.0614061 0.0199520i
\(233\) −13.8077 4.48638i −0.904570 0.293912i −0.180448 0.983585i \(-0.557755\pi\)
−0.724122 + 0.689672i \(0.757755\pi\)
\(234\) 0.651440 1.32842i 0.0425860 0.0868418i
\(235\) −4.04977 + 0.860805i −0.264178 + 0.0561527i
\(236\) −3.04043 + 14.3041i −0.197915 + 0.931119i
\(237\) 0.446162 6.28374i 0.0289814 0.408173i
\(238\) 0.419065 + 0.377328i 0.0271639 + 0.0244585i
\(239\) −0.860790 + 8.18987i −0.0556799 + 0.529758i 0.930759 + 0.365632i \(0.119147\pi\)
−0.986439 + 0.164126i \(0.947520\pi\)
\(240\) −0.479200 + 1.66444i −0.0309322 + 0.107439i
\(241\) −30.2783 + 3.18237i −1.95039 + 0.204995i −0.995703 0.0926038i \(-0.970481\pi\)
−0.954691 + 0.297598i \(0.903814\pi\)
\(242\) −14.4154 8.32276i −0.926660 0.535007i
\(243\) −11.9949 + 9.95600i −0.769474 + 0.638678i
\(244\) 6.84278 + 9.41828i 0.438064 + 0.602943i
\(245\) −1.29715 + 1.16796i −0.0828717 + 0.0746180i
\(246\) −10.1228 12.9852i −0.645405 0.827906i
\(247\) 1.13852i 0.0724424i
\(248\) −0.658940 + 5.52863i −0.0418428 + 0.351069i
\(249\) 1.84564 0.669520i 0.116963 0.0424291i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 3.56146 + 3.95540i 0.224797 + 0.249663i 0.844984 0.534791i \(-0.179610\pi\)
−0.620187 + 0.784454i \(0.712943\pi\)
\(252\) 1.67794 6.66897i 0.105700 0.420106i
\(253\) 0.784858 + 1.35941i 0.0493436 + 0.0854657i
\(254\) 2.53084 4.38354i 0.158799 0.275048i
\(255\) −0.383167 + 0.186376i −0.0239949 + 0.0116713i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 28.1552 + 2.95923i 1.75628 + 0.184592i 0.927206 0.374553i \(-0.122204\pi\)
0.829070 + 0.559145i \(0.188870\pi\)
\(258\) −0.746510 + 1.84200i −0.0464757 + 0.114678i
\(259\) 4.37944 9.83638i 0.272125 0.611203i
\(260\) −0.482408 0.102539i −0.0299177 0.00635920i
\(261\) −1.82138 + 2.32100i −0.112740 + 0.143666i
\(262\) 6.34497 2.82496i 0.391994 0.174527i
\(263\) 3.36054 10.3427i 0.207220 0.637757i −0.792395 0.610008i \(-0.791166\pi\)
0.999615 0.0277488i \(-0.00883384\pi\)
\(264\) −9.10174 + 0.308084i −0.560173 + 0.0189613i
\(265\) 1.96205 + 4.40683i 0.120528 + 0.270709i
\(266\) −1.10021 5.17609i −0.0674584 0.317367i
\(267\) −24.1494 + 3.36761i −1.47792 + 0.206095i
\(268\) −9.02611 4.01868i −0.551358 0.245480i
\(269\) 12.1131 13.4530i 0.738549 0.820241i −0.250456 0.968128i \(-0.580580\pi\)
0.989004 + 0.147887i \(0.0472471\pi\)
\(270\) 4.19394 + 3.06771i 0.255235 + 0.186695i
\(271\) 7.34577 10.1106i 0.446223 0.614174i −0.525357 0.850882i \(-0.676068\pi\)
0.971581 + 0.236708i \(0.0760684\pi\)
\(272\) −0.0257144 0.244656i −0.00155916 0.0148344i
\(273\) 1.92800 + 0.342086i 0.116688 + 0.0207040i
\(274\) 6.41607 3.70432i 0.387609 0.223786i
\(275\) 4.25373 3.09052i 0.256510 0.186365i
\(276\) 0.456307 + 0.243250i 0.0274664 + 0.0146419i
\(277\) −19.7985 + 6.43293i −1.18958 + 0.386517i −0.835917 0.548856i \(-0.815063\pi\)
−0.353661 + 0.935374i \(0.615063\pi\)
\(278\) −17.6739 −1.06001
\(279\) 14.8934 + 7.56222i 0.891643 + 0.452738i
\(280\) −2.29227 −0.136990
\(281\) 18.5701 6.03378i 1.10780 0.359945i 0.302699 0.953086i \(-0.402112\pi\)
0.805099 + 0.593141i \(0.202112\pi\)
\(282\) −6.32811 3.37341i −0.376833 0.200884i
\(283\) 10.0349 7.29076i 0.596511 0.433391i −0.248128 0.968727i \(-0.579815\pi\)
0.844639 + 0.535337i \(0.179815\pi\)
\(284\) 5.62647 3.24845i 0.333870 0.192760i
\(285\) 3.93696 + 0.698539i 0.233205 + 0.0413779i
\(286\) −0.271055 2.57891i −0.0160278 0.152494i
\(287\) 12.8079 17.6286i 0.756026 1.04058i
\(288\) −2.49070 + 1.67225i −0.146766 + 0.0985383i
\(289\) −11.3347 + 12.5885i −0.666749 + 0.740499i
\(290\) 0.898419 + 0.400002i 0.0527570 + 0.0234889i
\(291\) −6.29038 + 0.877190i −0.368749 + 0.0514218i
\(292\) 0.431985 + 2.03233i 0.0252800 + 0.118933i
\(293\) −9.62081 21.6087i −0.562054 1.26239i −0.941448 0.337158i \(-0.890534\pi\)
0.379394 0.925235i \(-0.376132\pi\)
\(294\) −3.02154 + 0.102276i −0.176220 + 0.00596485i
\(295\) 4.51897 13.9079i 0.263104 0.809752i
\(296\) −4.29110 + 1.91052i −0.249415 + 0.111047i
\(297\) −8.52602 + 25.9564i −0.494730 + 1.50614i
\(298\) 9.37099 + 1.99186i 0.542847 + 0.115386i
\(299\) −0.0598870 + 0.134508i −0.00346335 + 0.00777882i
\(300\) 0.650557 1.60523i 0.0375599 0.0926782i
\(301\) −2.61596 0.274949i −0.150781 0.0158478i
\(302\) 7.05114 + 5.12296i 0.405748 + 0.294793i
\(303\) 10.3536 5.03608i 0.594799 0.289315i
\(304\) −1.15425 + 1.99923i −0.0662010 + 0.114663i
\(305\) −5.82082 10.0819i −0.333299 0.577291i
\(306\) −0.715704 0.180074i −0.0409141 0.0102941i
\(307\) −1.65859 1.84205i −0.0946605 0.105131i 0.693953 0.720020i \(-0.255867\pi\)
−0.788614 + 0.614889i \(0.789201\pi\)
\(308\) −3.72444 11.4627i −0.212220 0.653145i
\(309\) 12.0032 4.35427i 0.682840 0.247706i
\(310\) 1.23323 5.42947i 0.0700428 0.308373i
\(311\) 12.1114i 0.686776i 0.939194 + 0.343388i \(0.111575\pi\)
−0.939194 + 0.343388i \(0.888425\pi\)
\(312\) −0.525191 0.673699i −0.0297331 0.0381407i
\(313\) −18.7290 + 16.8637i −1.05863 + 0.953191i −0.998986 0.0450286i \(-0.985662\pi\)
−0.0596405 + 0.998220i \(0.518995\pi\)
\(314\) 8.14975 + 11.2172i 0.459917 + 0.633021i
\(315\) −2.36584 + 6.45705i −0.133300 + 0.363813i
\(316\) −3.14978 1.81853i −0.177189 0.102300i
\(317\) −30.8863 + 3.24628i −1.73475 + 0.182329i −0.918513 0.395390i \(-0.870609\pi\)
−0.816235 + 0.577719i \(0.803943\pi\)
\(318\) −2.31160 + 8.02906i −0.129628 + 0.450247i
\(319\) −0.540500 + 5.14252i −0.0302622 + 0.287926i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 1.21387 17.0961i 0.0677515 0.954211i
\(322\) −0.142283 + 0.669391i −0.00792914 + 0.0373037i
\(323\) −0.555491 + 0.118073i −0.0309083 + 0.00656977i
\(324\) 2.13988 + 8.74191i 0.118882 + 0.485661i
\(325\) 0.469047 + 0.152403i 0.0260180 + 0.00845378i
\(326\) −0.869950 0.282664i −0.0481821 0.0156553i
\(327\) 21.7031 20.9136i 1.20019 1.15653i
\(328\) −9.29816 + 1.97639i −0.513405 + 0.109128i
\(329\) 1.97320 9.28317i 0.108786 0.511798i
\(330\) 9.08408 + 0.644994i 0.500062 + 0.0355058i
\(331\) −8.47772 7.63337i −0.465978 0.419568i 0.402406 0.915461i \(-0.368174\pi\)
−0.868384 + 0.495893i \(0.834841\pi\)
\(332\) 0.118486 1.12732i 0.00650274 0.0618695i
\(333\) 0.952879 + 14.0593i 0.0522175 + 0.770447i
\(334\) 2.30975 0.242764i 0.126384 0.0132835i
\(335\) 8.55660 + 4.94015i 0.467497 + 0.269909i
\(336\) −3.03872 2.55534i −0.165776 0.139405i
\(337\) 15.0019 + 20.6484i 0.817206 + 1.12479i 0.990171 + 0.139860i \(0.0446651\pi\)
−0.172965 + 0.984928i \(0.555335\pi\)
\(338\) −9.48013 + 8.53594i −0.515651 + 0.464294i
\(339\) −13.6851 + 10.6684i −0.743271 + 0.579426i
\(340\) 0.246003i 0.0133414i
\(341\) 29.1541 2.65486i 1.57878 0.143768i
\(342\) 4.44027 + 5.31478i 0.240102 + 0.287390i
\(343\) −6.19488 19.0659i −0.334492 1.02946i
\(344\) 0.767823 + 0.852754i 0.0413983 + 0.0459774i
\(345\) −0.428381 0.289614i −0.0230632 0.0155923i
\(346\) 8.98430 + 15.5613i 0.482999 + 0.836579i
\(347\) 6.19451 10.7292i 0.332539 0.575974i −0.650470 0.759532i \(-0.725428\pi\)
0.983009 + 0.183558i \(0.0587614\pi\)
\(348\) 0.745070 + 1.53178i 0.0399399 + 0.0821120i
\(349\) −7.18740 5.22195i −0.384733 0.279525i 0.378561 0.925576i \(-0.376419\pi\)
−0.763294 + 0.646052i \(0.776419\pi\)
\(350\) 2.27972 + 0.239608i 0.121856 + 0.0128076i
\(351\) −2.43977 + 0.784076i −0.130225 + 0.0418509i
\(352\) −2.13858 + 4.80333i −0.113987 + 0.256018i
\(353\) −0.519568 0.110438i −0.0276538 0.00587800i 0.194064 0.980989i \(-0.437833\pi\)
−0.221718 + 0.975111i \(0.571166\pi\)
\(354\) 21.4945 13.3993i 1.14242 0.712165i
\(355\) −5.93521 + 2.64252i −0.315008 + 0.140251i
\(356\) −4.35020 + 13.3886i −0.230560 + 0.709592i
\(357\) −0.0330419 0.976157i −0.00174876 0.0516637i
\(358\) 0.417579 + 0.937898i 0.0220697 + 0.0495695i
\(359\) −4.33883 20.4126i −0.228995 1.07733i −0.930959 0.365123i \(-0.881027\pi\)
0.701965 0.712212i \(-0.252306\pi\)
\(360\) 2.65185 1.40274i 0.139765 0.0739309i
\(361\) −12.4889 5.56041i −0.657310 0.292653i
\(362\) 0.0495237 0.0550016i 0.00260291 0.00289082i
\(363\) 6.94487 + 27.9819i 0.364511 + 1.46867i
\(364\) 0.664500 0.914606i 0.0348293 0.0479384i
\(365\) −0.217182 2.06635i −0.0113678 0.108158i
\(366\) 3.52268 19.8538i 0.184133 1.03777i
\(367\) −10.5070 + 6.06625i −0.548463 + 0.316656i −0.748502 0.663132i \(-0.769227\pi\)
0.200039 + 0.979788i \(0.435893\pi\)
\(368\) 0.241527 0.175480i 0.0125905 0.00914753i
\(369\) −4.02935 + 28.2316i −0.209760 + 1.46968i
\(370\) 4.46730 1.45151i 0.232244 0.0754606i
\(371\) −11.0576 −0.574084
\(372\) 7.68737 5.82274i 0.398572 0.301895i
\(373\) 3.98423 0.206296 0.103148 0.994666i \(-0.467109\pi\)
0.103148 + 0.994666i \(0.467109\pi\)
\(374\) −1.23016 + 0.399702i −0.0636098 + 0.0206681i
\(375\) −0.814785 + 1.52844i −0.0420753 + 0.0789282i
\(376\) −3.34953 + 2.43357i −0.172739 + 0.125502i
\(377\) −0.420039 + 0.242510i −0.0216331 + 0.0124899i
\(378\) −10.3343 + 5.92234i −0.531539 + 0.304612i
\(379\) 2.74802 + 26.1456i 0.141156 + 1.34301i 0.804168 + 0.594402i \(0.202611\pi\)
−0.663012 + 0.748609i \(0.730722\pi\)
\(380\) 1.35691 1.86762i 0.0696078 0.0958070i
\(381\) −8.50892 + 2.11184i −0.435925 + 0.108193i
\(382\) −0.933863 + 1.03716i −0.0477806 + 0.0530657i
\(383\) 34.4946 + 15.3580i 1.76259 + 0.784757i 0.988413 + 0.151791i \(0.0485042\pi\)
0.774180 + 0.632965i \(0.218162\pi\)
\(384\) 0.239219 + 1.71545i 0.0122076 + 0.0875413i
\(385\) 2.50587 + 11.7892i 0.127711 + 0.600832i
\(386\) 6.56569 + 14.7468i 0.334185 + 0.750592i
\(387\) 3.19457 1.28274i 0.162389 0.0652053i
\(388\) −1.13313 + 3.48743i −0.0575261 + 0.177047i
\(389\) −26.2933 + 11.7065i −1.33312 + 0.593545i −0.944700 0.327936i \(-0.893647\pi\)
−0.388424 + 0.921481i \(0.626980\pi\)
\(390\) 0.451893 + 0.724905i 0.0228825 + 0.0367070i
\(391\) 0.0718381 + 0.0152697i 0.00363301 + 0.000772219i
\(392\) −0.709952 + 1.59458i −0.0358580 + 0.0805384i
\(393\) −11.1491 4.51840i −0.562395 0.227923i
\(394\) 21.9896 + 2.31120i 1.10782 + 0.116436i
\(395\) 2.94244 + 2.13781i 0.148050 + 0.107565i
\(396\) 11.3232 + 10.9816i 0.569010 + 0.551846i
\(397\) −13.9943 + 24.2388i −0.702353 + 1.21651i 0.265285 + 0.964170i \(0.414534\pi\)
−0.967638 + 0.252342i \(0.918799\pi\)
\(398\) −4.24754 7.35696i −0.212910 0.368771i
\(399\) −5.13344 + 7.59309i −0.256993 + 0.380130i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −5.07464 15.6181i −0.253415 0.779932i −0.994138 0.108121i \(-0.965517\pi\)
0.740723 0.671811i \(-0.234483\pi\)
\(402\) 5.83584 + 16.0874i 0.291065 + 0.802367i
\(403\) 1.80884 + 2.06599i 0.0901045 + 0.102914i
\(404\) 6.64729i 0.330715i
\(405\) −1.21438 8.91769i −0.0603431 0.443124i
\(406\) −1.67529 + 1.50843i −0.0831430 + 0.0748623i
\(407\) 14.5168 + 19.9806i 0.719569 + 0.990402i
\(408\) −0.274235 + 0.326111i −0.0135767 + 0.0161449i
\(409\) 4.78834 + 2.76455i 0.236768 + 0.136698i 0.613690 0.789547i \(-0.289684\pi\)
−0.376922 + 0.926245i \(0.623018\pi\)
\(410\) 9.45382 0.993636i 0.466891 0.0490722i
\(411\) −12.3313 3.55022i −0.608256 0.175120i
\(412\) 0.770580 7.33157i 0.0379637 0.361201i
\(413\) 24.9113 + 22.4302i 1.22581 + 1.10372i
\(414\) −0.245026 0.861464i −0.0120424 0.0423387i
\(415\) −0.235673 + 1.10875i −0.0115687 + 0.0544266i
\(416\) −0.482408 + 0.102539i −0.0236520 + 0.00502739i
\(417\) 21.2414 + 22.0433i 1.04020 + 1.07946i
\(418\) 11.5438 + 3.75082i 0.564627 + 0.183458i
\(419\) −5.95487 1.93486i −0.290915 0.0945239i 0.159924 0.987129i \(-0.448875\pi\)
−0.450839 + 0.892605i \(0.648875\pi\)
\(420\) 2.75497 + 2.85897i 0.134429 + 0.139503i
\(421\) 7.31970 1.55585i 0.356741 0.0758275i −0.0260553 0.999661i \(-0.508295\pi\)
0.382796 + 0.923833i \(0.374961\pi\)
\(422\) −3.28848 + 15.4711i −0.160081 + 0.753121i
\(423\) 3.39804 + 11.9469i 0.165219 + 0.580877i
\(424\) 3.58484 + 3.22780i 0.174095 + 0.156756i
\(425\) 0.0257144 0.244656i 0.00124733 0.0118676i
\(426\) −10.8137 3.11331i −0.523926 0.150840i
\(427\) 26.5396 2.78943i 1.28434 0.134990i
\(428\) −8.56957 4.94764i −0.414226 0.239153i
\(429\) −2.89071 + 3.43753i −0.139565 + 0.165966i
\(430\) −0.674480 0.928342i −0.0325263 0.0447686i
\(431\) −18.7969 + 16.9248i −0.905415 + 0.815239i −0.983350 0.181719i \(-0.941834\pi\)
0.0779356 + 0.996958i \(0.475167\pi\)
\(432\) 5.07911 + 1.09666i 0.244369 + 0.0527630i
\(433\) 22.8130i 1.09632i −0.836372 0.548162i \(-0.815328\pi\)
0.836372 0.548162i \(-0.184672\pi\)
\(434\) 10.2200 + 7.64468i 0.490577 + 0.366956i
\(435\) −0.580874 1.60127i −0.0278508 0.0767750i
\(436\) −5.37727 16.5495i −0.257525 0.792579i
\(437\) −0.461159 0.512169i −0.0220602 0.0245004i
\(438\) 2.01558 2.98134i 0.0963083 0.142454i
\(439\) 3.60601 + 6.24579i 0.172105 + 0.298095i 0.939156 0.343492i \(-0.111610\pi\)
−0.767050 + 0.641587i \(0.778276\pi\)
\(440\) 2.62895 4.55348i 0.125330 0.217078i
\(441\) 3.75899 + 3.64560i 0.179000 + 0.173600i
\(442\) −0.0981542 0.0713132i −0.00466872 0.00339202i
\(443\) −20.0595 2.10834i −0.953054 0.100170i −0.384779 0.923009i \(-0.625722\pi\)
−0.568275 + 0.822839i \(0.692389\pi\)
\(444\) 7.54010 + 3.05579i 0.357837 + 0.145022i
\(445\) 5.72586 12.8605i 0.271432 0.609646i
\(446\) −10.4762 2.22679i −0.496064 0.105442i
\(447\) −8.77822 14.0816i −0.415195 0.666037i
\(448\) −2.09410 + 0.932352i −0.0989367 + 0.0440495i
\(449\) −5.05783 + 15.5664i −0.238694 + 0.734624i 0.757916 + 0.652352i \(0.226218\pi\)
−0.996610 + 0.0822721i \(0.973782\pi\)
\(450\) −2.78395 + 1.11786i −0.131237 + 0.0526965i
\(451\) 20.3291 + 45.6599i 0.957261 + 2.15004i
\(452\) 2.08291 + 9.79932i 0.0979718 + 0.460921i
\(453\) −2.08496 14.9513i −0.0979597 0.702476i
\(454\) 17.6549 + 7.86045i 0.828584 + 0.368909i
\(455\) −0.756462 + 0.840137i −0.0354635 + 0.0393862i
\(456\) 3.88071 0.963159i 0.181731 0.0451041i
\(457\) −16.5597 + 22.7924i −0.774628 + 1.06618i 0.221227 + 0.975222i \(0.428994\pi\)
−0.995854 + 0.0909613i \(0.971006\pi\)
\(458\) 2.11185 + 20.0929i 0.0986801 + 0.938878i
\(459\) 0.635577 + 1.10906i 0.0296662 + 0.0517666i
\(460\) −0.258547 + 0.149272i −0.0120548 + 0.00695985i
\(461\) −20.9266 + 15.2041i −0.974649 + 0.708124i −0.956506 0.291711i \(-0.905775\pi\)
−0.0181429 + 0.999835i \(0.505775\pi\)
\(462\) −9.82024 + 18.4216i −0.456879 + 0.857049i
\(463\) −14.8293 + 4.81833i −0.689176 + 0.223927i −0.632609 0.774472i \(-0.718016\pi\)
−0.0565680 + 0.998399i \(0.518016\pi\)
\(464\) 0.983442 0.0456552
\(465\) −8.25390 + 4.98729i −0.382766 + 0.231280i
\(466\) 14.5182 0.672544
\(467\) 34.4263 11.1858i 1.59306 0.517616i 0.627681 0.778471i \(-0.284004\pi\)
0.965378 + 0.260855i \(0.0840044\pi\)
\(468\) −0.209051 + 1.46471i −0.00966338 + 0.0677064i
\(469\) −18.3229 + 13.3124i −0.846074 + 0.614708i
\(470\) 3.58555 2.07012i 0.165389 0.0954875i
\(471\) 4.19551 23.6459i 0.193319 1.08954i
\(472\) −1.52859 14.5436i −0.0703591 0.669422i
\(473\) 3.54635 4.88113i 0.163061 0.224435i
\(474\) 1.51746 + 6.11406i 0.0696991 + 0.280828i
\(475\) −1.54469 + 1.71556i −0.0708754 + 0.0787151i
\(476\) −0.515155 0.229362i −0.0236121 0.0105128i
\(477\) 12.7922 6.76664i 0.585715 0.309823i
\(478\) −1.71215 8.05503i −0.0783119 0.368428i
\(479\) −10.4039 23.3675i −0.475365 1.06769i −0.979017 0.203780i \(-0.934677\pi\)
0.503652 0.863907i \(-0.331990\pi\)
\(480\) −0.0585945 1.73106i −0.00267446 0.0790117i
\(481\) −0.715865 + 2.20321i −0.0326406 + 0.100458i
\(482\) 27.8129 12.3831i 1.26684 0.564035i
\(483\) 1.00588 0.627048i 0.0457692 0.0285317i
\(484\) 16.2818 + 3.46080i 0.740081 + 0.157309i
\(485\) 1.49146 3.34988i 0.0677238 0.152110i
\(486\) 8.33127 13.1754i 0.377914 0.597646i
\(487\) 29.7680 + 3.12874i 1.34892 + 0.141777i 0.751276 0.659988i \(-0.229439\pi\)
0.597640 + 0.801765i \(0.296105\pi\)
\(488\) −9.41828 6.84278i −0.426345 0.309758i
\(489\) 0.693005 + 1.42474i 0.0313388 + 0.0644289i
\(490\) 0.872742 1.51163i 0.0394264 0.0682886i
\(491\) 12.2452 + 21.2093i 0.552618 + 0.957162i 0.998085 + 0.0618637i \(0.0197044\pi\)
−0.445467 + 0.895298i \(0.646962\pi\)
\(492\) 13.6400 + 9.22154i 0.614938 + 0.415739i
\(493\) 0.161883 + 0.179789i 0.00729084 + 0.00809730i
\(494\) 0.351823 + 1.08280i 0.0158292 + 0.0487174i
\(495\) −10.1132 12.1050i −0.454557 0.544081i
\(496\) −1.08175 5.46167i −0.0485721 0.245236i
\(497\) 14.8927i 0.668027i
\(498\) −1.54841 + 1.20709i −0.0693860 + 0.0540908i
\(499\) 13.2301 11.9125i 0.592263 0.533276i −0.317579 0.948232i \(-0.602870\pi\)
0.909841 + 0.414956i \(0.136203\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) −3.07875 2.58900i −0.137548 0.115668i
\(502\) −4.60944 2.66126i −0.205729 0.118778i
\(503\) 37.3797 3.92876i 1.66668 0.175175i 0.776289 0.630378i \(-0.217100\pi\)
0.890388 + 0.455203i \(0.150433\pi\)
\(504\) 0.465013 + 6.86108i 0.0207133 + 0.305617i
\(505\) −0.694831 + 6.61087i −0.0309196 + 0.294180i
\(506\) −1.16653 1.05035i −0.0518584 0.0466936i
\(507\) 22.0399 + 1.56489i 0.978826 + 0.0694992i
\(508\) −1.05238 + 4.95106i −0.0466918 + 0.219668i
\(509\) 34.9145 7.42130i 1.54756 0.328943i 0.646592 0.762836i \(-0.276194\pi\)
0.900964 + 0.433893i \(0.142860\pi\)
\(510\) 0.306821 0.295659i 0.0135862 0.0130920i
\(511\) 4.52963 + 1.47177i 0.200379 + 0.0651071i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) 1.29216 11.9256i 0.0570504 0.526526i
\(514\) −27.6917 + 5.88605i −1.22143 + 0.259622i
\(515\) −1.53272 + 7.21086i −0.0675396 + 0.317749i
\(516\) 0.140765 1.98253i 0.00619682 0.0872759i
\(517\) 16.1775 + 14.5663i 0.711486 + 0.640625i
\(518\) −1.12549 + 10.7083i −0.0494510 + 0.470495i
\(519\) 8.61056 29.9077i 0.377961 1.31280i
\(520\) 0.490484 0.0515519i 0.0215091 0.00226070i
\(521\) 0.179023 + 0.103359i 0.00784315 + 0.00452825i 0.503916 0.863752i \(-0.331892\pi\)
−0.496073 + 0.868281i \(0.665225\pi\)
\(522\) 1.01500 2.77023i 0.0444256 0.121250i
\(523\) −1.27828 1.75941i −0.0558954 0.0769335i 0.780154 0.625587i \(-0.215141\pi\)
−0.836050 + 0.548654i \(0.815141\pi\)
\(524\) −5.16147 + 4.64741i −0.225480 + 0.203023i
\(525\) −2.44103 3.13128i −0.106535 0.136660i
\(526\) 10.8749i 0.474170i
\(527\) 0.820416 1.09680i 0.0357379 0.0477773i
\(528\) 8.56106 3.10560i 0.372573 0.135154i
\(529\) −7.07985 21.7895i −0.307820 0.947371i
\(530\) −3.22780 3.58484i −0.140207 0.155715i
\(531\) −42.5451 10.7045i −1.84630 0.464535i
\(532\) 2.64586 + 4.58277i 0.114713 + 0.198688i
\(533\) −2.34408 + 4.06007i −0.101533 + 0.175861i
\(534\) 21.9268 10.6654i 0.948864 0.461535i
\(535\) 8.00545 + 5.81630i 0.346106 + 0.251461i
\(536\) 9.82618 + 1.03277i 0.424427 + 0.0446090i
\(537\) 0.667899 1.64803i 0.0288220 0.0711175i
\(538\) −7.36305 + 16.5377i −0.317444 + 0.712990i
\(539\) 8.97703 + 1.90813i 0.386668 + 0.0821888i
\(540\) −4.93665 1.62156i −0.212440 0.0697809i
\(541\) 3.45918 1.54013i 0.148722 0.0662152i −0.331026 0.943622i \(-0.607395\pi\)
0.479748 + 0.877406i \(0.340728\pi\)
\(542\) −3.86190 + 11.8857i −0.165883 + 0.510534i
\(543\) −0.128119 + 0.00433670i −0.00549812 + 0.000186106i
\(544\) 0.100059 + 0.224735i 0.00428998 + 0.00963545i
\(545\) 3.61792 + 17.0210i 0.154974 + 0.729098i
\(546\) −1.93934 + 0.270440i −0.0829963 + 0.0115738i
\(547\) −20.6667 9.20141i −0.883644 0.393424i −0.0858177 0.996311i \(-0.527350\pi\)
−0.797826 + 0.602887i \(0.794017\pi\)
\(548\) −4.95735 + 5.50569i −0.211767 + 0.235192i
\(549\) −28.9958 + 19.4677i −1.23751 + 0.830862i
\(550\) −3.09052 + 4.25373i −0.131780 + 0.181380i
\(551\) −0.237309 2.25785i −0.0101097 0.0961875i
\(552\) −0.509142 0.0903376i −0.0216705 0.00384502i
\(553\) −7.22015 + 4.16856i −0.307032 + 0.177265i
\(554\) 16.8416 12.2362i 0.715532 0.519865i
\(555\) −7.17938 3.82721i −0.304748 0.162456i
\(556\) 16.8089 5.46155i 0.712857 0.231621i
\(557\) −45.6302 −1.93341 −0.966707 0.255886i \(-0.917633\pi\)
−0.966707 + 0.255886i \(0.917633\pi\)
\(558\) −16.5013 2.58979i −0.698556 0.109635i
\(559\) 0.565927 0.0239362
\(560\) 2.18008 0.708351i 0.0921253 0.0299333i
\(561\) 1.97698 + 1.05389i 0.0834680 + 0.0444954i
\(562\) −15.7966 + 11.4769i −0.666341 + 0.484125i
\(563\) 39.2662 22.6703i 1.65487 0.955441i 0.679845 0.733356i \(-0.262047\pi\)
0.975027 0.222085i \(-0.0712861\pi\)
\(564\) 7.06083 + 1.25281i 0.297314 + 0.0527528i
\(565\) −1.04719 9.96336i −0.0440557 0.419162i
\(566\) −7.29076 + 10.0349i −0.306454 + 0.421797i
\(567\) 19.8067 + 5.77139i 0.831805 + 0.242376i
\(568\) −4.34727 + 4.82813i −0.182407 + 0.202584i
\(569\) −13.9160 6.19581i −0.583390 0.259742i 0.0937505 0.995596i \(-0.470114\pi\)
−0.677140 + 0.735854i \(0.736781\pi\)
\(570\) −3.96013 + 0.552238i −0.165872 + 0.0231307i
\(571\) 6.66608 + 31.3614i 0.278967 + 1.31243i 0.864846 + 0.502037i \(0.167416\pi\)
−0.585880 + 0.810398i \(0.699251\pi\)
\(572\) 1.05472 + 2.36893i 0.0440999 + 0.0990500i
\(573\) 2.41593 0.0817767i 0.100927 0.00341627i
\(574\) −6.73351 + 20.7236i −0.281051 + 0.864987i
\(575\) 0.272734 0.121429i 0.0113738 0.00506394i
\(576\) 1.85204 2.36007i 0.0771684 0.0983363i
\(577\) 2.48441 + 0.528077i 0.103427 + 0.0219841i 0.259335 0.965788i \(-0.416497\pi\)
−0.155907 + 0.987772i \(0.549830\pi\)
\(578\) 6.88991 15.4750i 0.286582 0.643675i
\(579\) 10.5015 25.9123i 0.436428 1.07688i
\(580\) −0.978055 0.102798i −0.0406115 0.00426844i
\(581\) −2.10211 1.52727i −0.0872102 0.0633619i
\(582\) 5.71144 2.77809i 0.236747 0.115156i
\(583\) 12.6817 21.9654i 0.525223 0.909714i
\(584\) −1.03887 1.79937i −0.0429886 0.0744585i
\(585\) 0.361010 1.43484i 0.0149259 0.0593232i
\(586\) 15.8274 + 17.5781i 0.653823 + 0.726144i
\(587\) 0.253816 + 0.781166i 0.0104761 + 0.0322422i 0.956158 0.292852i \(-0.0946042\pi\)
−0.945682 + 0.325094i \(0.894604\pi\)
\(588\) 2.84205 1.03098i 0.117204 0.0425167i
\(589\) −12.2782 + 3.80148i −0.505914 + 0.156637i
\(590\) 14.6237i 0.602047i
\(591\) −23.5456 30.2036i −0.968536 1.24241i
\(592\) 3.49070 3.14304i 0.143467 0.129178i
\(593\) 18.8065 + 25.8850i 0.772292 + 1.06297i 0.996091 + 0.0883335i \(0.0281541\pi\)
−0.223799 + 0.974635i \(0.571846\pi\)
\(594\) 0.0877454 27.3207i 0.00360024 1.12098i
\(595\) 0.488358 + 0.281954i 0.0200207 + 0.0115590i
\(596\) −9.52786 + 1.00142i −0.390276 + 0.0410197i
\(597\) −4.07085 + 14.1396i −0.166609 + 0.578694i
\(598\) 0.0153905 0.146431i 0.000629366 0.00598801i
\(599\) 16.6153 + 14.9605i 0.678883 + 0.611269i 0.934692 0.355458i \(-0.115675\pi\)
−0.255809 + 0.966727i \(0.582342\pi\)
\(600\) −0.122671 + 1.72770i −0.00500804 + 0.0705331i
\(601\) −2.67919 + 12.6046i −0.109287 + 0.514153i 0.889118 + 0.457679i \(0.151319\pi\)
−0.998404 + 0.0564739i \(0.982014\pi\)
\(602\) 2.57289 0.546885i 0.104863 0.0222894i
\(603\) 13.0507 26.6132i 0.531467 1.08377i
\(604\) −8.28912 2.69330i −0.337279 0.109589i
\(605\) −15.8308 5.14375i −0.643615 0.209123i
\(606\) −8.29063 + 7.98904i −0.336784 + 0.324532i
\(607\) 9.52421 2.02443i 0.386576 0.0821692i −0.0105241 0.999945i \(-0.503350\pi\)
0.397100 + 0.917775i \(0.370017\pi\)
\(608\) 0.479966 2.25806i 0.0194652 0.0915765i
\(609\) 3.89479 + 0.276540i 0.157825 + 0.0112060i
\(610\) 8.65142 + 7.78977i 0.350286 + 0.315399i
\(611\) −0.213437 + 2.03072i −0.00863475 + 0.0821541i
\(612\) 0.736321 0.0499046i 0.0297640 0.00201727i
\(613\) −23.9041 + 2.51242i −0.965478 + 0.101476i −0.574128 0.818766i \(-0.694659\pi\)
−0.391351 + 0.920242i \(0.627992\pi\)
\(614\) 2.14663 + 1.23936i 0.0866311 + 0.0500165i
\(615\) −12.6013 10.5968i −0.508135 0.427304i
\(616\) 7.08431 + 9.75071i 0.285435 + 0.392867i
\(617\) −23.3631 + 21.0362i −0.940563 + 0.846887i −0.988385 0.151969i \(-0.951439\pi\)
0.0478220 + 0.998856i \(0.484772\pi\)
\(618\) −10.0702 + 7.85036i −0.405083 + 0.315788i
\(619\) 19.2249i 0.772714i −0.922349 0.386357i \(-0.873733\pi\)
0.922349 0.386357i \(-0.126267\pi\)
\(620\) 0.504927 + 5.54482i 0.0202783 + 0.222685i
\(621\) −0.779952 + 1.34095i −0.0312984 + 0.0538105i
\(622\) −3.74264 11.5187i −0.150066 0.461856i
\(623\) 21.5926 + 23.9810i 0.865089 + 0.960778i
\(624\) 0.707670 + 0.478433i 0.0283295 + 0.0191526i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 12.6012 21.8259i 0.503645 0.872338i
\(627\) −9.19584 18.9056i −0.367247 0.755018i
\(628\) −11.2172 8.14975i −0.447614 0.325210i
\(629\) 1.14920 + 0.120785i 0.0458215 + 0.00481603i
\(630\) 0.254712 6.87210i 0.0101480 0.273791i
\(631\) 2.78533 6.25596i 0.110882 0.249046i −0.849578 0.527463i \(-0.823143\pi\)
0.960460 + 0.278417i \(0.0898099\pi\)
\(632\) 3.55757 + 0.756185i 0.141513 + 0.0300794i
\(633\) 23.2481 14.4925i 0.924030 0.576023i
\(634\) 28.3715 12.6318i 1.12678 0.501673i
\(635\) 1.56414 4.81394i 0.0620711 0.191035i
\(636\) −0.282653 8.35041i −0.0112079 0.331115i
\(637\) 0.350138 + 0.786423i 0.0138730 + 0.0311592i
\(638\) −1.07508 5.05785i −0.0425628 0.200242i
\(639\) 9.11345 + 17.2288i 0.360523 + 0.681561i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 10.2974 11.4364i 0.406723 0.451711i −0.504631 0.863335i \(-0.668372\pi\)
0.911354 + 0.411624i \(0.135038\pi\)
\(642\) 4.12853 + 16.6345i 0.162940 + 0.656510i
\(643\) −17.7966 + 24.4949i −0.701829 + 0.965984i 0.298106 + 0.954533i \(0.403645\pi\)
−0.999934 + 0.0114514i \(0.996355\pi\)
\(644\) −0.0715336 0.680596i −0.00281882 0.0268193i
\(645\) −0.347224 + 1.95695i −0.0136719 + 0.0770549i
\(646\) 0.491817 0.283950i 0.0193503 0.0111719i
\(647\) −9.04964 + 6.57495i −0.355778 + 0.258488i −0.751289 0.659973i \(-0.770568\pi\)
0.395511 + 0.918461i \(0.370568\pi\)
\(648\) −4.73655 7.65279i −0.186069 0.300630i
\(649\) −73.1266 + 23.7603i −2.87047 + 0.932672i
\(650\) −0.493185 −0.0193443
\(651\) −2.74833 21.9344i −0.107716 0.859676i
\(652\) 0.914720 0.0358232
\(653\) −30.2394 + 9.82539i −1.18336 + 0.384497i −0.833614 0.552347i \(-0.813732\pi\)
−0.349746 + 0.936844i \(0.613732\pi\)
\(654\) −14.1783 + 26.5967i −0.554414 + 1.04001i
\(655\) 5.61898 4.08243i 0.219552 0.159514i
\(656\) 8.23234 4.75295i 0.321419 0.185571i
\(657\) −6.14081 + 1.06924i −0.239576 + 0.0417150i
\(658\) 0.992034 + 9.43857i 0.0386735 + 0.367954i
\(659\) −15.4621 + 21.2818i −0.602320 + 0.829022i −0.995918 0.0902606i \(-0.971230\pi\)
0.393599 + 0.919282i \(0.371230\pi\)
\(660\) −8.83879 + 2.19371i −0.344049 + 0.0853900i
\(661\) −15.7873 + 17.5336i −0.614055 + 0.681977i −0.967324 0.253545i \(-0.918403\pi\)
0.353269 + 0.935522i \(0.385070\pi\)
\(662\) 10.4216 + 4.64001i 0.405048 + 0.180339i
\(663\) 0.0290233 + 0.208128i 0.00112717 + 0.00808301i
\(664\) 0.235673 + 1.10875i 0.00914589 + 0.0430280i
\(665\) −2.15234 4.83424i −0.0834642 0.187464i
\(666\) −5.25082 13.0768i −0.203465 0.506715i
\(667\) −0.0907278 + 0.279231i −0.00351299 + 0.0108119i
\(668\) −2.12168 + 0.944634i −0.0820904 + 0.0365490i
\(669\) 9.81355 + 15.7424i 0.379414 + 0.608638i
\(670\) −9.66440 2.05423i −0.373368 0.0793619i
\(671\) −24.8966 + 55.9186i −0.961121 + 2.15871i
\(672\) 3.67963 + 1.49125i 0.141945 + 0.0575263i
\(673\) 30.6609 + 3.22259i 1.18189 + 0.124222i 0.675020 0.737799i \(-0.264135\pi\)
0.506872 + 0.862021i \(0.330802\pi\)
\(674\) −20.6484 15.0019i −0.795345 0.577852i
\(675\) 4.74011 + 2.12870i 0.182447 + 0.0819337i
\(676\) 6.37838 11.0477i 0.245322 0.424911i
\(677\) −13.3581 23.1369i −0.513394 0.889224i −0.999879 0.0155355i \(-0.995055\pi\)
0.486486 0.873689i \(-0.338279\pi\)
\(678\) 9.71856 14.3751i 0.373239 0.552074i
\(679\) 5.62440 + 6.24652i 0.215845 + 0.239720i
\(680\) −0.0760193 0.233963i −0.00291521 0.00897208i
\(681\) −11.4148 31.4666i −0.437415 1.20580i
\(682\) −26.9068 + 11.5340i −1.03032 + 0.441661i
\(683\) 33.2948i 1.27399i −0.770868 0.636995i \(-0.780177\pi\)
0.770868 0.636995i \(-0.219823\pi\)
\(684\) −5.86530 3.68253i −0.224266 0.140805i
\(685\) 5.50569 4.95735i 0.210362 0.189411i
\(686\) 11.7834 + 16.2184i 0.449891 + 0.619221i
\(687\) 22.5221 26.7825i 0.859273 1.02182i
\(688\) −0.993759 0.573747i −0.0378867 0.0218739i
\(689\) 2.36603 0.248680i 0.0901386 0.00947395i
\(690\) 0.496910 + 0.143062i 0.0189170 + 0.00544630i
\(691\) −0.918469 + 8.73865i −0.0349402 + 0.332434i 0.963063 + 0.269275i \(0.0867841\pi\)
−0.998003 + 0.0631587i \(0.979883\pi\)
\(692\) −13.3533 12.0233i −0.507615 0.457059i
\(693\) 34.7782 9.89195i 1.32111 0.375764i
\(694\) −2.57582 + 12.1183i −0.0977769 + 0.460004i
\(695\) −17.2877 + 3.67462i −0.655761 + 0.139386i
\(696\) −1.18195 1.22657i −0.0448017 0.0464930i
\(697\) 2.22403 + 0.722631i 0.0842411 + 0.0273716i
\(698\) 8.44929 + 2.74534i 0.319810 + 0.103913i
\(699\) −17.4487 18.1074i −0.659971 0.684886i
\(700\) −2.24218 + 0.476590i −0.0847465 + 0.0180134i
\(701\) −0.149227 + 0.702060i −0.00563624 + 0.0265164i −0.980876 0.194634i \(-0.937648\pi\)
0.975240 + 0.221151i \(0.0709813\pi\)
\(702\) 2.07807 1.49963i 0.0784316 0.0565999i
\(703\) −8.05830 7.25573i −0.303925 0.273655i
\(704\) 0.549600 5.22910i 0.0207138 0.197079i
\(705\) −6.89119 1.98400i −0.259537 0.0747219i
\(706\) 0.528266 0.0555230i 0.0198815 0.00208963i
\(707\) −13.1960 7.61870i −0.496286 0.286531i
\(708\) −16.3019 + 19.3857i −0.612663 + 0.728558i
\(709\) −16.2152 22.3182i −0.608973 0.838179i 0.387520 0.921861i \(-0.373332\pi\)
−0.996492 + 0.0836823i \(0.973332\pi\)
\(710\) 4.82813 4.34727i 0.181197 0.163150i
\(711\) 5.80183 9.24078i 0.217586 0.346556i
\(712\) 14.0776i 0.527579i
\(713\) 1.65054 + 0.196723i 0.0618133 + 0.00736733i
\(714\) 0.333074 + 0.918170i 0.0124650 + 0.0343616i
\(715\) −0.801318 2.46620i −0.0299676 0.0922308i
\(716\) −0.686968 0.762955i −0.0256732 0.0285130i
\(717\) −7.98865 + 11.8164i −0.298342 + 0.441290i
\(718\) 10.4343 + 18.0727i 0.389405 + 0.674469i
\(719\) 5.47011 9.47450i 0.204001 0.353339i −0.745813 0.666155i \(-0.767939\pi\)
0.949814 + 0.312816i \(0.101272\pi\)
\(720\) −2.08859 + 2.15355i −0.0778372 + 0.0802582i
\(721\) −13.6712 9.93272i −0.509142 0.369914i
\(722\) 13.5959 + 1.42899i 0.505987 + 0.0531814i
\(723\) −48.8714 19.8062i −1.81755 0.736601i
\(724\) −0.0301034 + 0.0676133i −0.00111878 + 0.00251283i
\(725\) 0.961952 + 0.204469i 0.0357260 + 0.00759379i
\(726\) −15.2519 24.4663i −0.566050 0.908030i
\(727\) 20.0221 8.91442i 0.742579 0.330617i −0.000339107 1.00000i \(-0.500108\pi\)
0.742918 + 0.669383i \(0.233441\pi\)
\(728\) −0.349348 + 1.07518i −0.0129477 + 0.0398490i
\(729\) −26.4455 + 5.44386i −0.979463 + 0.201624i
\(730\) 0.845091 + 1.89810i 0.0312782 + 0.0702520i
\(731\) −0.0586909 0.276119i −0.00217076 0.0102126i
\(732\) 2.78489 + 19.9707i 0.102933 + 0.738137i
\(733\) 16.2709 + 7.24425i 0.600978 + 0.267572i 0.684593 0.728926i \(-0.259980\pi\)
−0.0836153 + 0.996498i \(0.526647\pi\)
\(734\) 8.11822 9.01620i 0.299649 0.332794i
\(735\) −2.93424 + 0.728253i −0.108231 + 0.0268620i
\(736\) −0.175480 + 0.241527i −0.00646828 + 0.00890282i
\(737\) −5.43022 51.6651i −0.200025 1.90311i
\(738\) −4.89190 28.0950i −0.180073 1.03419i
\(739\) −14.7512 + 8.51661i −0.542632 + 0.313288i −0.746145 0.665784i \(-0.768097\pi\)
0.203513 + 0.979072i \(0.434764\pi\)
\(740\) −3.80011 + 2.76094i −0.139695 + 0.101494i
\(741\) 0.927651 1.74016i 0.0340781 0.0639264i
\(742\) 10.5164 3.41700i 0.386071 0.125442i
\(743\) −22.1651 −0.813159 −0.406579 0.913615i \(-0.633279\pi\)
−0.406579 + 0.913615i \(0.633279\pi\)
\(744\) −5.51180 + 7.91328i −0.202072 + 0.290115i
\(745\) 9.58034 0.350996
\(746\) −3.78923 + 1.23120i −0.138734 + 0.0450773i
\(747\) 3.36646 + 0.480478i 0.123172 + 0.0175798i
\(748\) 1.04643 0.760278i 0.0382614 0.0277985i
\(749\) −19.6438 + 11.3413i −0.717768 + 0.414404i
\(750\) 0.302593 1.70541i 0.0110491 0.0622729i
\(751\) 2.67632 + 25.4635i 0.0976602 + 0.929175i 0.928166 + 0.372165i \(0.121385\pi\)
−0.830506 + 0.557009i \(0.811949\pi\)
\(752\) 2.43357 3.34953i 0.0887433 0.122145i
\(753\) 2.22067 + 8.94742i 0.0809257 + 0.326062i
\(754\) 0.324541 0.360440i 0.0118191 0.0131264i
\(755\) 7.96218 + 3.54499i 0.289773 + 0.129015i
\(756\) 7.99840 8.82596i 0.290899 0.320997i
\(757\) 5.87000 + 27.6162i 0.213349 + 1.00373i 0.946261 + 0.323403i \(0.104827\pi\)
−0.732913 + 0.680323i \(0.761840\pi\)
\(758\) −10.6930 24.0168i −0.388386 0.872329i
\(759\) 0.0919768 + 2.71727i 0.00333855 + 0.0986308i
\(760\) −0.713368 + 2.19552i −0.0258766 + 0.0796399i
\(761\) 24.3098 10.8234i 0.881229 0.392348i 0.0843135 0.996439i \(-0.473130\pi\)
0.796915 + 0.604091i \(0.206464\pi\)
\(762\) 7.43987 4.63788i 0.269518 0.168013i
\(763\) −39.0167 8.29325i −1.41250 0.300236i
\(764\) 0.567656 1.27498i 0.0205371 0.0461271i
\(765\) −0.737504 0.0273353i −0.0266645 0.000988311i
\(766\) −37.5522 3.94690i −1.35682 0.142607i
\(767\) −5.83478 4.23922i −0.210682 0.153069i
\(768\) −0.757614 1.55757i −0.0273380 0.0562039i
\(769\) 22.4723 38.9232i 0.810372 1.40360i −0.102232 0.994761i \(-0.532599\pi\)
0.912604 0.408844i \(-0.134068\pi\)
\(770\) −6.02627 10.4378i −0.217172 0.376153i
\(771\) 40.6224 + 27.4635i 1.46298 + 0.989073i
\(772\) −10.8014 11.9961i −0.388749 0.431750i
\(773\) −6.01898 18.5245i