Properties

Label 930.2.br.b.11.7
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 11.7
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.145925 + 1.72589i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.672113 - 1.59633i) q^{6} +(-0.228500 - 2.17403i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.95741 + 0.503701i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.145925 + 1.72589i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.672113 - 1.59633i) q^{6} +(-0.228500 - 2.17403i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.95741 + 0.503701i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-3.37174 - 1.50120i) q^{11} +(1.13251 + 1.31050i) q^{12} +(-0.565435 - 2.66016i) q^{13} +(0.889128 + 1.99701i) q^{14} +(-0.989321 - 1.42170i) q^{15} +(0.309017 - 0.951057i) q^{16} +(4.18937 - 1.86523i) q^{17} +(2.65701 - 1.39294i) q^{18} +(7.02672 + 1.49358i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(3.71880 - 0.711610i) q^{21} +(3.67062 + 0.385797i) q^{22} +(4.43137 + 3.21958i) q^{23} +(-1.48205 - 0.896399i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.35980 + 2.35524i) q^{26} +(-1.30089 - 5.03067i) q^{27} +(-1.46272 - 1.62452i) q^{28} +(1.85284 + 5.70246i) q^{29} +(1.38023 + 1.04640i) q^{30} +(3.69419 - 4.16569i) q^{31} +1.00000i q^{32} +(2.09889 - 6.03833i) q^{33} +(-3.40794 + 3.06853i) q^{34} +(1.28490 + 1.76851i) q^{35} +(-2.09653 + 2.14583i) q^{36} +(-2.33106 - 1.34584i) q^{37} +(-7.14435 + 0.750901i) q^{38} +(4.50865 - 1.36406i) q^{39} +(0.104528 - 0.994522i) q^{40} +(4.55509 + 4.10142i) q^{41} +(-3.31689 + 1.82595i) q^{42} +(0.429934 - 2.02268i) q^{43} +(-3.61018 + 0.767368i) q^{44} +(2.30934 - 1.91492i) q^{45} +(-5.20938 - 1.69263i) q^{46} +(-10.3554 - 3.36468i) q^{47} +(1.68651 + 0.394548i) q^{48} +(2.17284 - 0.461852i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(3.83052 + 6.95823i) q^{51} +(-2.02105 - 1.81976i) q^{52} +(0.296898 - 2.82480i) q^{53} +(2.79179 + 4.38246i) q^{54} +(3.67062 - 0.385797i) q^{55} +(1.89313 + 1.09300i) q^{56} +(-1.55238 + 12.3453i) q^{57} +(-3.52431 - 4.85080i) q^{58} +(2.06251 - 1.85710i) q^{59} +(-1.63603 - 0.568675i) q^{60} -15.3542i q^{61} +(-2.22611 + 5.10337i) q^{62} +(1.77083 + 6.31440i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(1.81976 + 2.02105i) q^{65} +(-0.130211 + 6.39139i) q^{66} +(2.98226 + 5.16542i) q^{67} +(2.29292 - 3.97146i) q^{68} +(-4.91000 + 8.11788i) q^{69} +(-1.76851 - 1.28490i) q^{70} +(11.8911 + 1.24981i) q^{71} +(1.33082 - 2.68866i) q^{72} +(0.731646 - 1.64330i) q^{73} +(2.63285 + 0.559630i) q^{74} +(1.56763 + 0.736572i) q^{75} +(6.56264 - 2.92187i) q^{76} +(-2.49320 + 7.67329i) q^{77} +(-3.86646 + 2.69055i) q^{78} +(4.31032 + 9.68114i) q^{79} +(0.207912 + 0.978148i) q^{80} +(8.49257 - 2.97930i) q^{81} +(-5.59956 - 2.49308i) q^{82} +(-0.948324 + 1.05322i) q^{83} +(2.59030 - 2.76156i) q^{84} +(-2.69549 + 3.71002i) q^{85} +(0.216151 + 2.05654i) q^{86} +(-9.57145 + 4.02993i) q^{87} +(3.19636 - 1.84542i) q^{88} +(2.65594 - 1.92965i) q^{89} +(-1.60457 + 2.53483i) q^{90} +(-5.65407 + 1.83712i) q^{91} +5.47747 q^{92} +(7.72861 + 5.76790i) q^{93} +10.8883 q^{94} +(-6.83210 + 2.21989i) q^{95} +(-1.72589 + 0.145925i) q^{96} +(-8.91550 + 6.47749i) q^{97} +(-1.92378 + 1.11069i) q^{98} +(10.7278 + 2.74131i) 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
\(3\) 0.145925 + 1.72589i 0.0842496 + 0.996445i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.672113 1.59633i −0.274389 0.651698i
\(7\) −0.228500 2.17403i −0.0863647 0.821706i −0.948872 0.315661i \(-0.897774\pi\)
0.862507 0.506045i \(-0.168893\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −2.95741 + 0.503701i −0.985804 + 0.167900i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −3.37174 1.50120i −1.01662 0.452628i −0.170350 0.985384i \(-0.554490\pi\)
−0.846269 + 0.532755i \(0.821157\pi\)
\(12\) 1.13251 + 1.31050i 0.326927 + 0.378310i
\(13\) −0.565435 2.66016i −0.156824 0.737797i −0.984329 0.176340i \(-0.943574\pi\)
0.827506 0.561457i \(-0.189759\pi\)
\(14\) 0.889128 + 1.99701i 0.237629 + 0.533724i
\(15\) −0.989321 1.42170i −0.255442 0.367083i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 4.18937 1.86523i 1.01607 0.452385i 0.169995 0.985445i \(-0.445625\pi\)
0.846077 + 0.533060i \(0.178958\pi\)
\(18\) 2.65701 1.39294i 0.626264 0.328319i
\(19\) 7.02672 + 1.49358i 1.61204 + 0.342650i 0.923812 0.382846i \(-0.125056\pi\)
0.688227 + 0.725495i \(0.258389\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 3.71880 0.711610i 0.811508 0.155286i
\(22\) 3.67062 + 0.385797i 0.782578 + 0.0822522i
\(23\) 4.43137 + 3.21958i 0.924004 + 0.671328i 0.944517 0.328462i \(-0.106530\pi\)
−0.0205136 + 0.999790i \(0.506530\pi\)
\(24\) −1.48205 0.896399i −0.302522 0.182977i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.35980 + 2.35524i 0.266678 + 0.461900i
\(27\) −1.30089 5.03067i −0.250357 0.968154i
\(28\) −1.46272 1.62452i −0.276429 0.307005i
\(29\) 1.85284 + 5.70246i 0.344064 + 1.05892i 0.962083 + 0.272756i \(0.0879353\pi\)
−0.618019 + 0.786163i \(0.712065\pi\)
\(30\) 1.38023 + 1.04640i 0.251995 + 0.191046i
\(31\) 3.69419 4.16569i 0.663496 0.748180i
\(32\) 1.00000i 0.176777i
\(33\) 2.09889 6.03833i 0.365369 1.05114i
\(34\) −3.40794 + 3.06853i −0.584458 + 0.526248i
\(35\) 1.28490 + 1.76851i 0.217188 + 0.298933i
\(36\) −2.09653 + 2.14583i −0.349421 + 0.357638i
\(37\) −2.33106 1.34584i −0.383224 0.221254i 0.295996 0.955189i \(-0.404348\pi\)
−0.679220 + 0.733935i \(0.737682\pi\)
\(38\) −7.14435 + 0.750901i −1.15897 + 0.121812i
\(39\) 4.50865 1.36406i 0.721961 0.218425i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 4.55509 + 4.10142i 0.711386 + 0.640535i 0.943200 0.332225i \(-0.107799\pi\)
−0.231814 + 0.972760i \(0.574466\pi\)
\(42\) −3.31689 + 1.82595i −0.511807 + 0.281751i
\(43\) 0.429934 2.02268i 0.0655643 0.308456i −0.933130 0.359539i \(-0.882934\pi\)
0.998694 + 0.0510832i \(0.0162674\pi\)
\(44\) −3.61018 + 0.767368i −0.544255 + 0.115685i
\(45\) 2.30934 1.91492i 0.344257 0.285460i
\(46\) −5.20938 1.69263i −0.768082 0.249565i
\(47\) −10.3554 3.36468i −1.51049 0.490789i −0.567436 0.823418i \(-0.692064\pi\)
−0.943058 + 0.332629i \(0.892064\pi\)
\(48\) 1.68651 + 0.394548i 0.243427 + 0.0569480i
\(49\) 2.17284 0.461852i 0.310406 0.0659789i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 3.83052 + 6.95823i 0.536380 + 0.974347i
\(52\) −2.02105 1.81976i −0.280269 0.252356i
\(53\) 0.296898 2.82480i 0.0407821 0.388016i −0.955024 0.296528i \(-0.904171\pi\)
0.995806 0.0914875i \(-0.0291622\pi\)
\(54\) 2.79179 + 4.38246i 0.379914 + 0.596377i
\(55\) 3.67062 0.385797i 0.494946 0.0520209i
\(56\) 1.89313 + 1.09300i 0.252981 + 0.146059i
\(57\) −1.55238 + 12.3453i −0.205618 + 1.63518i
\(58\) −3.52431 4.85080i −0.462765 0.636941i
\(59\) 2.06251 1.85710i 0.268517 0.241773i −0.523862 0.851803i \(-0.675509\pi\)
0.792378 + 0.610030i \(0.208843\pi\)
\(60\) −1.63603 0.568675i −0.211211 0.0734156i
\(61\) 15.3542i 1.96590i −0.183874 0.982950i \(-0.558864\pi\)
0.183874 0.982950i \(-0.441136\pi\)
\(62\) −2.22611 + 5.10337i −0.282717 + 0.648129i
\(63\) 1.77083 + 6.31440i 0.223103 + 0.795540i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 1.81976 + 2.02105i 0.225714 + 0.250681i
\(66\) −0.130211 + 6.39139i −0.0160279 + 0.786725i
\(67\) 2.98226 + 5.16542i 0.364341 + 0.631056i 0.988670 0.150105i \(-0.0479611\pi\)
−0.624330 + 0.781161i \(0.714628\pi\)
\(68\) 2.29292 3.97146i 0.278057 0.481610i
\(69\) −4.91000 + 8.11788i −0.591094 + 0.977278i
\(70\) −1.76851 1.28490i −0.211378 0.153575i
\(71\) 11.8911 + 1.24981i 1.41122 + 0.148325i 0.779272 0.626686i \(-0.215589\pi\)
0.631948 + 0.775011i \(0.282256\pi\)
\(72\) 1.33082 2.68866i 0.156839 0.316862i
\(73\) 0.731646 1.64330i 0.0856327 0.192334i −0.865653 0.500644i \(-0.833097\pi\)
0.951286 + 0.308310i \(0.0997633\pi\)
\(74\) 2.63285 + 0.559630i 0.306063 + 0.0650557i
\(75\) 1.56763 + 0.736572i 0.181014 + 0.0850520i
\(76\) 6.56264 2.92187i 0.752786 0.335162i
\(77\) −2.49320 + 7.67329i −0.284127 + 0.874453i
\(78\) −3.86646 + 2.69055i −0.437790 + 0.304645i
\(79\) 4.31032 + 9.68114i 0.484949 + 1.08921i 0.975938 + 0.218047i \(0.0699687\pi\)
−0.490989 + 0.871166i \(0.663365\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) 8.49257 2.97930i 0.943619 0.331033i
\(82\) −5.59956 2.49308i −0.618368 0.275315i
\(83\) −0.948324 + 1.05322i −0.104092 + 0.115606i −0.792939 0.609300i \(-0.791450\pi\)
0.688847 + 0.724906i \(0.258117\pi\)
\(84\) 2.59030 2.76156i 0.282624 0.301311i
\(85\) −2.69549 + 3.71002i −0.292367 + 0.402409i
\(86\) 0.216151 + 2.05654i 0.0233082 + 0.221762i
\(87\) −9.57145 + 4.02993i −1.02617 + 0.432054i
\(88\) 3.19636 1.84542i 0.340733 0.196722i
\(89\) 2.65594 1.92965i 0.281529 0.204543i −0.438055 0.898948i \(-0.644332\pi\)
0.719584 + 0.694405i \(0.244332\pi\)
\(90\) −1.60457 + 2.53483i −0.169137 + 0.267194i
\(91\) −5.65407 + 1.83712i −0.592708 + 0.192582i
\(92\) 5.47747 0.571066
\(93\) 7.72861 + 5.76790i 0.801419 + 0.598103i
\(94\) 10.8883 1.12305
\(95\) −6.83210 + 2.21989i −0.700959 + 0.227755i
\(96\) −1.72589 + 0.145925i −0.176148 + 0.0148934i
\(97\) −8.91550 + 6.47749i −0.905231 + 0.657689i −0.939804 0.341713i \(-0.888993\pi\)
0.0345729 + 0.999402i \(0.488993\pi\)
\(98\) −1.92378 + 1.11069i −0.194331 + 0.112197i
\(99\) 10.7278 + 2.74131i 1.07818 + 0.275512i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −3.79042 + 5.21707i −0.377161 + 0.519117i −0.954830 0.297154i \(-0.903963\pi\)
0.577669 + 0.816271i \(0.303963\pi\)
\(102\) −5.79325 5.43397i −0.573617 0.538044i
\(103\) 7.22868 8.02826i 0.712263 0.791048i −0.273015 0.962010i \(-0.588021\pi\)
0.985278 + 0.170962i \(0.0546875\pi\)
\(104\) 2.48447 + 1.10616i 0.243623 + 0.108468i
\(105\) −2.86477 + 2.47567i −0.279573 + 0.241601i
\(106\) 0.590543 + 2.77829i 0.0573586 + 0.269851i
\(107\) −8.22008 18.4626i −0.794665 1.78485i −0.592641 0.805467i \(-0.701915\pi\)
−0.202024 0.979380i \(-0.564752\pi\)
\(108\) −4.00940 3.30526i −0.385805 0.318048i
\(109\) −4.07983 + 12.5564i −0.390777 + 1.20269i 0.541424 + 0.840749i \(0.317885\pi\)
−0.932202 + 0.361939i \(0.882115\pi\)
\(110\) −3.37174 + 1.50120i −0.321483 + 0.143134i
\(111\) 1.98261 4.21955i 0.188181 0.400502i
\(112\) −2.13823 0.454496i −0.202044 0.0429458i
\(113\) 4.46461 10.0277i 0.419995 0.943324i −0.572371 0.819995i \(-0.693976\pi\)
0.992366 0.123329i \(-0.0393572\pi\)
\(114\) −2.33851 12.2208i −0.219022 1.14458i
\(115\) −5.44746 0.572552i −0.507979 0.0533907i
\(116\) 4.85080 + 3.52431i 0.450385 + 0.327224i
\(117\) 3.01215 + 7.58239i 0.278474 + 0.700992i
\(118\) −1.38769 + 2.40356i −0.127748 + 0.221265i
\(119\) −5.01233 8.68162i −0.459480 0.795843i
\(120\) 1.73169 + 0.0352796i 0.158081 + 0.00322058i
\(121\) 1.75463 + 1.94872i 0.159512 + 0.177156i
\(122\) 4.74470 + 14.6027i 0.429565 + 1.32206i
\(123\) −6.41392 + 8.46010i −0.578323 + 0.762822i
\(124\) 0.540130 5.54150i 0.0485051 0.497642i
\(125\) 1.00000i 0.0894427i
\(126\) −3.63541 5.45814i −0.323868 0.486250i
\(127\) 10.9690 9.87650i 0.973338 0.876397i −0.0190163 0.999819i \(-0.506053\pi\)
0.992354 + 0.123422i \(0.0393868\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 3.55366 + 0.446861i 0.312883 + 0.0393439i
\(130\) −2.35524 1.35980i −0.206568 0.119262i
\(131\) 19.8470 2.08600i 1.73404 0.182255i 0.815814 0.578315i \(-0.196289\pi\)
0.918225 + 0.396060i \(0.129623\pi\)
\(132\) −1.85121 6.11881i −0.161127 0.532574i
\(133\) 1.64147 15.6176i 0.142334 1.35421i
\(134\) −4.43250 3.99104i −0.382909 0.344773i
\(135\) 3.64194 + 3.70624i 0.313449 + 0.318983i
\(136\) −0.953450 + 4.48563i −0.0817577 + 0.384640i
\(137\) 5.43517 1.15528i 0.464358 0.0987024i 0.0302095 0.999544i \(-0.490383\pi\)
0.434149 + 0.900841i \(0.357049\pi\)
\(138\) 2.16112 9.23783i 0.183967 0.786377i
\(139\) 5.01572 + 1.62971i 0.425428 + 0.138230i 0.513903 0.857848i \(-0.328199\pi\)
−0.0884746 + 0.996078i \(0.528199\pi\)
\(140\) 2.07901 + 0.675512i 0.175709 + 0.0570912i
\(141\) 4.29597 18.3633i 0.361786 1.54647i
\(142\) −11.6954 + 2.48593i −0.981453 + 0.208614i
\(143\) −2.08693 + 9.81822i −0.174518 + 0.821041i
\(144\) −0.434843 + 2.96832i −0.0362369 + 0.247360i
\(145\) −4.45583 4.01205i −0.370037 0.333183i
\(146\) −0.188028 + 1.78897i −0.0155613 + 0.148056i
\(147\) 1.11418 + 3.68270i 0.0918959 + 0.303744i
\(148\) −2.67693 + 0.281356i −0.220042 + 0.0231274i
\(149\) −12.4377 7.18089i −1.01893 0.588281i −0.105138 0.994458i \(-0.533529\pi\)
−0.913795 + 0.406176i \(0.866862\pi\)
\(150\) −1.71852 0.216097i −0.140316 0.0176443i
\(151\) 13.9180 + 19.1565i 1.13263 + 1.55893i 0.782975 + 0.622054i \(0.213701\pi\)
0.349656 + 0.936878i \(0.386299\pi\)
\(152\) −5.33853 + 4.80683i −0.433012 + 0.389886i
\(153\) −11.4502 + 7.62644i −0.925693 + 0.616561i
\(154\) 8.06818i 0.650152i
\(155\) −1.11642 + 5.45469i −0.0896727 + 0.438131i
\(156\) 2.84580 3.75367i 0.227846 0.300534i
\(157\) −3.20316 9.85832i −0.255640 0.786779i −0.993703 0.112047i \(-0.964259\pi\)
0.738063 0.674732i \(-0.235741\pi\)
\(158\) −7.09099 7.87534i −0.564129 0.626529i
\(159\) 4.91862 + 0.100207i 0.390072 + 0.00794691i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 5.98689 10.3696i 0.471833 0.817238i
\(162\) −7.15626 + 5.45783i −0.562249 + 0.428808i
\(163\) 7.20253 + 5.23294i 0.564145 + 0.409876i 0.832974 0.553312i \(-0.186636\pi\)
−0.268828 + 0.963188i \(0.586636\pi\)
\(164\) 6.09590 + 0.640705i 0.476010 + 0.0500307i
\(165\) 1.20148 + 6.27879i 0.0935349 + 0.488803i
\(166\) 0.576447 1.29472i 0.0447409 0.100490i
\(167\) −11.1787 2.37611i −0.865036 0.183869i −0.246037 0.969260i \(-0.579128\pi\)
−0.619000 + 0.785391i \(0.712462\pi\)
\(168\) −1.61015 + 3.42684i −0.124226 + 0.264387i
\(169\) 5.11934 2.27928i 0.393795 0.175329i
\(170\) 1.41710 4.36139i 0.108687 0.334504i
\(171\) −21.5332 0.877754i −1.64669 0.0671235i
\(172\) −0.841077 1.88909i −0.0641315 0.144042i
\(173\) −2.49687 11.7469i −0.189834 0.893098i −0.965185 0.261568i \(-0.915761\pi\)
0.775351 0.631530i \(-0.217573\pi\)
\(174\) 7.85767 6.79043i 0.595689 0.514781i
\(175\) −1.99701 0.889128i −0.150960 0.0672118i
\(176\) −2.46965 + 2.74282i −0.186157 + 0.206748i
\(177\) 3.50612 + 3.28868i 0.263536 + 0.247193i
\(178\) −1.92965 + 2.65594i −0.144634 + 0.199071i
\(179\) −1.99102 18.9433i −0.148816 1.41589i −0.772899 0.634529i \(-0.781194\pi\)
0.624083 0.781358i \(-0.285473\pi\)
\(180\) 0.742734 2.90660i 0.0553602 0.216645i
\(181\) −10.2133 + 5.89665i −0.759148 + 0.438294i −0.828990 0.559264i \(-0.811084\pi\)
0.0698417 + 0.997558i \(0.477751\pi\)
\(182\) 4.80964 3.49441i 0.356514 0.259023i
\(183\) 26.4996 2.24055i 1.95891 0.165626i
\(184\) −5.20938 + 1.69263i −0.384041 + 0.124782i
\(185\) 2.69167 0.197896
\(186\) −9.13272 3.09732i −0.669644 0.227107i
\(187\) −16.9256 −1.23772
\(188\) −10.3554 + 3.36468i −0.755247 + 0.245395i
\(189\) −10.6396 + 3.97769i −0.773915 + 0.289334i
\(190\) 5.81173 4.22247i 0.421628 0.306330i
\(191\) −9.12036 + 5.26564i −0.659926 + 0.381009i −0.792249 0.610198i \(-0.791090\pi\)
0.132323 + 0.991207i \(0.457757\pi\)
\(192\) 1.59633 0.672113i 0.115205 0.0485056i
\(193\) 1.50082 + 14.2794i 0.108032 + 1.02785i 0.905458 + 0.424436i \(0.139528\pi\)
−0.797426 + 0.603416i \(0.793806\pi\)
\(194\) 6.47749 8.91550i 0.465056 0.640095i
\(195\) −3.22257 + 3.43564i −0.230773 + 0.246031i
\(196\) 1.48640 1.65081i 0.106171 0.117915i
\(197\) −12.7875 5.69337i −0.911074 0.405636i −0.102975 0.994684i \(-0.532836\pi\)
−0.808098 + 0.589048i \(0.799503\pi\)
\(198\) −11.0498 + 0.707930i −0.785279 + 0.0503104i
\(199\) −2.32358 10.9316i −0.164714 0.774920i −0.980493 0.196555i \(-0.937025\pi\)
0.815779 0.578364i \(-0.196309\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −8.47977 + 5.90082i −0.598117 + 0.416211i
\(202\) 1.99274 6.13303i 0.140209 0.431518i
\(203\) 11.9739 5.33114i 0.840405 0.374172i
\(204\) 7.18890 + 3.37780i 0.503324 + 0.236493i
\(205\) −5.99554 1.27439i −0.418747 0.0890073i
\(206\) −4.39401 + 9.86911i −0.306145 + 0.687614i
\(207\) −14.7271 7.28953i −1.02360 0.506657i
\(208\) −2.70470 0.284275i −0.187537 0.0197109i
\(209\) −21.4501 15.5844i −1.48374 1.07800i
\(210\) 1.95953 3.23976i 0.135221 0.223565i
\(211\) 2.89490 5.01412i 0.199293 0.345186i −0.749006 0.662563i \(-0.769469\pi\)
0.948300 + 0.317377i \(0.102802\pi\)
\(212\) −1.42018 2.45982i −0.0975382 0.168941i
\(213\) −0.421826 + 20.7052i −0.0289031 + 1.41870i
\(214\) 13.5230 + 15.0188i 0.924415 + 1.02667i
\(215\) 0.639006 + 1.96666i 0.0435798 + 0.134125i
\(216\) 4.83455 + 1.90451i 0.328949 + 0.129586i
\(217\) −9.90045 7.07941i −0.672086 0.480582i
\(218\) 13.2026i 0.894194i
\(219\) 2.94293 + 1.02294i 0.198865 + 0.0691242i
\(220\) 2.74282 2.46965i 0.184921 0.166504i
\(221\) −7.33064 10.0898i −0.493112 0.678711i
\(222\) −0.581664 + 4.62569i −0.0390387 + 0.310456i
\(223\) 2.36191 + 1.36365i 0.158165 + 0.0913169i 0.576994 0.816749i \(-0.304226\pi\)
−0.418828 + 0.908065i \(0.637559\pi\)
\(224\) 2.17403 0.228500i 0.145258 0.0152673i
\(225\) −1.04249 + 2.81304i −0.0694992 + 0.187536i
\(226\) −1.14737 + 10.9165i −0.0763221 + 0.726156i
\(227\) 17.3935 + 15.6612i 1.15445 + 1.03947i 0.998664 + 0.0516759i \(0.0164563\pi\)
0.155782 + 0.987792i \(0.450210\pi\)
\(228\) 6.00049 + 10.9000i 0.397392 + 0.721872i
\(229\) −1.39905 + 6.58202i −0.0924519 + 0.434952i 0.907439 + 0.420184i \(0.138034\pi\)
−0.999891 + 0.0147683i \(0.995299\pi\)
\(230\) 5.35777 1.13883i 0.353281 0.0750922i
\(231\) −13.6071 3.18328i −0.895282 0.209444i
\(232\) −5.70246 1.85284i −0.374385 0.121645i
\(233\) −0.931250 0.302581i −0.0610082 0.0198228i 0.278354 0.960479i \(-0.410211\pi\)
−0.339362 + 0.940656i \(0.610211\pi\)
\(234\) −5.20781 6.28048i −0.340445 0.410568i
\(235\) 10.6504 2.26381i 0.694755 0.147675i
\(236\) 0.577035 2.71474i 0.0375618 0.176714i
\(237\) −16.0796 + 8.85187i −1.04448 + 0.574990i
\(238\) 7.44978 + 6.70781i 0.482898 + 0.434803i
\(239\) 1.32521 12.6086i 0.0857209 0.815580i −0.864212 0.503127i \(-0.832183\pi\)
0.949933 0.312453i \(-0.101151\pi\)
\(240\) −1.65784 + 0.501569i −0.107013 + 0.0323761i
\(241\) −4.19226 + 0.440624i −0.270047 + 0.0283831i −0.238584 0.971122i \(-0.576683\pi\)
−0.0314630 + 0.999505i \(0.510017\pi\)
\(242\) −2.27094 1.31113i −0.145982 0.0842826i
\(243\) 6.38123 + 14.2225i 0.409356 + 0.912375i
\(244\) −9.02495 12.4218i −0.577763 0.795223i
\(245\) −1.65081 + 1.48640i −0.105467 + 0.0949625i
\(246\) 3.48568 10.0280i 0.222239 0.639365i
\(247\) 19.5367i 1.24309i
\(248\) 1.19872 + 5.43719i 0.0761191 + 0.345262i
\(249\) −1.95613 1.48301i −0.123965 0.0939822i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 6.40209 + 7.11024i 0.404096 + 0.448794i 0.910504 0.413500i \(-0.135694\pi\)
−0.506408 + 0.862294i \(0.669027\pi\)
\(252\) 5.14414 + 4.06759i 0.324051 + 0.256234i
\(253\) −10.1082 17.5079i −0.635498 1.10072i
\(254\) −7.38010 + 12.7827i −0.463068 + 0.802058i
\(255\) −6.79644 4.11074i −0.425610 0.257425i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −9.79588 1.02959i −0.611050 0.0642240i −0.206051 0.978541i \(-0.566061\pi\)
−0.404999 + 0.914317i \(0.632728\pi\)
\(258\) −3.51782 + 0.673153i −0.219010 + 0.0419087i
\(259\) −2.39324 + 5.37531i −0.148709 + 0.334005i
\(260\) 2.66016 + 0.565435i 0.164976 + 0.0350668i
\(261\) −8.35194 15.9312i −0.516972 0.986119i
\(262\) −18.2310 + 8.11696i −1.12631 + 0.501467i
\(263\) 4.46155 13.7312i 0.275111 0.846704i −0.714079 0.700065i \(-0.753154\pi\)
0.989190 0.146639i \(-0.0468456\pi\)
\(264\) 3.65142 + 5.24728i 0.224729 + 0.322948i
\(265\) 1.15528 + 2.59479i 0.0709681 + 0.159397i
\(266\) 3.26496 + 15.3604i 0.200188 + 0.941809i
\(267\) 3.71794 + 4.30228i 0.227534 + 0.263295i
\(268\) 5.44885 + 2.42599i 0.332842 + 0.148191i
\(269\) −4.96616 + 5.51548i −0.302792 + 0.336285i −0.875269 0.483636i \(-0.839316\pi\)
0.572477 + 0.819921i \(0.305983\pi\)
\(270\) −4.60899 2.39943i −0.280494 0.146024i
\(271\) −4.36890 + 6.01328i −0.265392 + 0.365280i −0.920827 0.389971i \(-0.872485\pi\)
0.655435 + 0.755251i \(0.272485\pi\)
\(272\) −0.479351 4.56072i −0.0290649 0.276534i
\(273\) −3.99574 9.49024i −0.241833 0.574375i
\(274\) −4.81216 + 2.77830i −0.290713 + 0.167843i
\(275\) −2.98595 + 2.16942i −0.180059 + 0.130821i
\(276\) 0.799298 + 9.45353i 0.0481121 + 0.569035i
\(277\) −19.3130 + 6.27518i −1.16041 + 0.377039i −0.825054 0.565054i \(-0.808855\pi\)
−0.335352 + 0.942093i \(0.608855\pi\)
\(278\) −5.27384 −0.316304
\(279\) −8.82698 + 14.1804i −0.528457 + 0.848960i
\(280\) −2.18600 −0.130639
\(281\) −24.9934 + 8.12085i −1.49098 + 0.484449i −0.937373 0.348327i \(-0.886750\pi\)
−0.553609 + 0.832777i \(0.686750\pi\)
\(282\) 1.58888 + 18.7921i 0.0946162 + 1.11905i
\(283\) 0.177341 0.128846i 0.0105418 0.00765908i −0.582502 0.812829i \(-0.697926\pi\)
0.593044 + 0.805170i \(0.297926\pi\)
\(284\) 10.3548 5.97832i 0.614442 0.354748i
\(285\) −4.82826 11.4675i −0.286001 0.679279i
\(286\) −1.04921 9.98258i −0.0620412 0.590282i
\(287\) 7.87578 10.8401i 0.464892 0.639869i
\(288\) −0.503701 2.95741i −0.0296808 0.174267i
\(289\) 2.69656 2.99483i 0.158621 0.176167i
\(290\) 5.47754 + 2.43876i 0.321652 + 0.143209i
\(291\) −12.4804 14.4420i −0.731616 0.846603i
\(292\) −0.373996 1.75951i −0.0218865 0.102968i
\(293\) 2.36345 + 5.30840i 0.138074 + 0.310120i 0.969327 0.245775i \(-0.0790423\pi\)
−0.831253 + 0.555895i \(0.812376\pi\)
\(294\) −2.19766 3.15816i −0.128170 0.184187i
\(295\) −0.857642 + 2.63955i −0.0499338 + 0.153681i
\(296\) 2.45897 1.09480i 0.142925 0.0636341i
\(297\) −3.16576 + 18.9150i −0.183696 + 1.09756i
\(298\) 14.0479 + 2.98598i 0.813775 + 0.172973i
\(299\) 6.05895 13.6086i 0.350398 0.787007i
\(300\) 1.70118 0.325530i 0.0982180 0.0187945i
\(301\) −4.49560 0.472507i −0.259122 0.0272348i
\(302\) −19.1565 13.9180i −1.10233 0.800891i
\(303\) −9.55721 5.78056i −0.549048 0.332085i
\(304\) 3.59185 6.22127i 0.206007 0.356814i
\(305\) 7.67708 + 13.2971i 0.439588 + 0.761390i
\(306\) 8.53308 10.7915i 0.487804 0.616908i
\(307\) 17.0895 + 18.9798i 0.975349 + 1.08323i 0.996511 + 0.0834589i \(0.0265967\pi\)
−0.0211621 + 0.999776i \(0.506737\pi\)
\(308\) 2.49320 + 7.67329i 0.142063 + 0.437226i
\(309\) 14.9108 + 11.3044i 0.848244 + 0.643085i
\(310\) −0.623816 5.53271i −0.0354304 0.314237i
\(311\) 10.2077i 0.578825i −0.957204 0.289413i \(-0.906540\pi\)
0.957204 0.289413i \(-0.0934600\pi\)
\(312\) −1.54656 + 4.44935i −0.0875570 + 0.251895i
\(313\) 16.9992 15.3061i 0.960849 0.865153i −0.0300785 0.999548i \(-0.509576\pi\)
0.990928 + 0.134395i \(0.0429091\pi\)
\(314\) 6.09277 + 8.38598i 0.343835 + 0.473248i
\(315\) −4.69078 4.58302i −0.264296 0.258224i
\(316\) 9.17755 + 5.29866i 0.516278 + 0.298073i
\(317\) −13.6421 + 1.43384i −0.766214 + 0.0805324i −0.479569 0.877504i \(-0.659207\pi\)
−0.286646 + 0.958037i \(0.592540\pi\)
\(318\) −4.70885 + 1.42463i −0.264059 + 0.0798895i
\(319\) 2.31321 22.0087i 0.129515 1.23225i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 30.6650 16.8811i 1.71155 0.942213i
\(322\) −2.48949 + 11.7121i −0.138734 + 0.652691i
\(323\) 32.2234 6.84930i 1.79296 0.381105i
\(324\) 5.11945 7.40211i 0.284414 0.411229i
\(325\) −2.58649 0.840401i −0.143472 0.0466170i
\(326\) −8.46708 2.75112i −0.468948 0.152370i
\(327\) −22.2664 5.20906i −1.23134 0.288062i
\(328\) −5.99554 + 1.27439i −0.331048 + 0.0703665i
\(329\) −4.94870 + 23.2818i −0.272831 + 1.28357i
\(330\) −3.08293 5.60021i −0.169710 0.308281i
\(331\) −11.6143 10.4576i −0.638382 0.574802i 0.285074 0.958506i \(-0.407982\pi\)
−0.923456 + 0.383703i \(0.874648\pi\)
\(332\) −0.148143 + 1.40948i −0.00813039 + 0.0773555i
\(333\) 7.57180 + 2.80604i 0.414932 + 0.153770i
\(334\) 11.3659 1.19460i 0.621913 0.0653656i
\(335\) −5.16542 2.98226i −0.282217 0.162938i
\(336\) 0.472390 3.75669i 0.0257710 0.204944i
\(337\) 15.4268 + 21.2331i 0.840351 + 1.15664i 0.985907 + 0.167293i \(0.0535027\pi\)
−0.145557 + 0.989350i \(0.546497\pi\)
\(338\) −4.16444 + 3.74968i −0.226516 + 0.203956i
\(339\) 17.9582 + 6.24215i 0.975355 + 0.339027i
\(340\) 4.58584i 0.248702i
\(341\) −18.7094 + 8.49994i −1.01317 + 0.460297i
\(342\) 20.7505 5.81934i 1.12206 0.314674i
\(343\) −6.22916 19.1714i −0.336343 1.03516i
\(344\) 1.38367 + 1.53672i 0.0746026 + 0.0828546i
\(345\) 0.193243 9.48529i 0.0104039 0.510671i
\(346\) 6.00465 + 10.4004i 0.322812 + 0.559127i
\(347\) −1.43457 + 2.48476i −0.0770120 + 0.133389i −0.901959 0.431821i \(-0.857871\pi\)
0.824947 + 0.565209i \(0.191205\pi\)
\(348\) −5.37473 + 8.88624i −0.288116 + 0.476353i
\(349\) −22.0255 16.0025i −1.17900 0.856593i −0.186941 0.982371i \(-0.559857\pi\)
−0.992058 + 0.125778i \(0.959857\pi\)
\(350\) 2.17403 + 0.228500i 0.116207 + 0.0122138i
\(351\) −12.6468 + 6.30511i −0.675039 + 0.336542i
\(352\) 1.50120 3.37174i 0.0800141 0.179715i
\(353\) −2.56334 0.544856i −0.136433 0.0289997i 0.139189 0.990266i \(-0.455550\pi\)
−0.275622 + 0.961266i \(0.588884\pi\)
\(354\) −4.35078 2.04427i −0.231241 0.108652i
\(355\) −10.9229 + 4.86321i −0.579729 + 0.258112i
\(356\) 1.01448 3.12224i 0.0537673 0.165479i
\(357\) 14.2521 9.91761i 0.754302 0.524896i
\(358\) 7.74737 + 17.4009i 0.409461 + 0.919665i
\(359\) 7.14471 + 33.6132i 0.377084 + 1.77404i 0.600815 + 0.799388i \(0.294843\pi\)
−0.223732 + 0.974651i \(0.571824\pi\)
\(360\) 0.191808 + 2.99386i 0.0101091 + 0.157790i
\(361\) 29.7866 + 13.2619i 1.56772 + 0.697993i
\(362\) 7.89125 8.76413i 0.414755 0.460632i
\(363\) −3.10723 + 3.31267i −0.163087 + 0.173870i
\(364\) −3.49441 + 4.80964i −0.183157 + 0.252094i
\(365\) 0.188028 + 1.78897i 0.00984183 + 0.0936388i
\(366\) −24.5103 + 10.3197i −1.28117 + 0.539421i
\(367\) 10.5384 6.08435i 0.550100 0.317601i −0.199062 0.979987i \(-0.563790\pi\)
0.749162 + 0.662386i \(0.230456\pi\)
\(368\) 4.43137 3.21958i 0.231001 0.167832i
\(369\) −15.5372 9.83520i −0.808833 0.512000i
\(370\) −2.55993 + 0.831773i −0.133085 + 0.0432418i
\(371\) −6.20903 −0.322357
\(372\) 9.64286 + 0.123565i 0.499959 + 0.00640655i
\(373\) −21.1831 −1.09682 −0.548411 0.836209i \(-0.684767\pi\)
−0.548411 + 0.836209i \(0.684767\pi\)
\(374\) 16.0972 5.23029i 0.832366 0.270452i
\(375\) −1.72589 + 0.145925i −0.0891247 + 0.00753552i
\(376\) 8.80885 6.40000i 0.454282 0.330055i
\(377\) 14.1218 8.15323i 0.727310 0.419913i
\(378\) 8.88967 7.07081i 0.457235 0.363683i
\(379\) −0.363458 3.45807i −0.0186696 0.177629i 0.981213 0.192925i \(-0.0617976\pi\)
−0.999883 + 0.0152962i \(0.995131\pi\)
\(380\) −4.22247 + 5.81173i −0.216608 + 0.298136i
\(381\) 18.6464 + 17.4900i 0.955285 + 0.896041i
\(382\) 7.04681 7.82627i 0.360546 0.400427i
\(383\) 3.33636 + 1.48544i 0.170480 + 0.0759026i 0.490202 0.871609i \(-0.336923\pi\)
−0.319722 + 0.947511i \(0.603590\pi\)
\(384\) −1.31050 + 1.13251i −0.0668764 + 0.0577932i
\(385\) −1.67747 7.89187i −0.0854917 0.402207i
\(386\) −5.83994 13.1167i −0.297245 0.667623i
\(387\) −0.252666 + 6.19845i −0.0128437 + 0.315085i
\(388\) −3.40542 + 10.4808i −0.172884 + 0.532082i
\(389\) 26.6684 11.8736i 1.35214 0.602013i 0.402522 0.915411i \(-0.368134\pi\)
0.949622 + 0.313397i \(0.101467\pi\)
\(390\) 2.00318 4.26331i 0.101435 0.215881i
\(391\) 24.5699 + 5.22249i 1.24255 + 0.264113i
\(392\) −0.903519 + 2.02934i −0.0456346 + 0.102497i
\(393\) 6.49638 + 33.9494i 0.327699 + 1.71252i
\(394\) 13.9210 + 1.46316i 0.701330 + 0.0737128i
\(395\) −8.57341 6.22895i −0.431375 0.313412i
\(396\) 10.2903 4.08787i 0.517105 0.205423i
\(397\) −4.66581 + 8.08142i −0.234170 + 0.405595i −0.959031 0.283300i \(-0.908571\pi\)
0.724861 + 0.688895i \(0.241904\pi\)
\(398\) 5.58790 + 9.67853i 0.280096 + 0.485141i
\(399\) 27.1938 + 0.554017i 1.36139 + 0.0277356i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 9.34516 + 28.7614i 0.466675 + 1.43628i 0.856864 + 0.515543i \(0.172410\pi\)
−0.390189 + 0.920735i \(0.627590\pi\)
\(402\) 6.24129 8.23240i 0.311287 0.410595i
\(403\) −13.1702 7.47172i −0.656056 0.372193i
\(404\) 6.44865i 0.320832i
\(405\) −5.86513 + 6.82644i −0.291441 + 0.339208i
\(406\) −9.74047 + 8.77036i −0.483411 + 0.435266i
\(407\) 5.83937 + 8.03720i 0.289447 + 0.398389i
\(408\) −7.88085 0.990989i −0.390160 0.0490612i
\(409\) 12.4271 + 7.17477i 0.614479 + 0.354769i 0.774716 0.632309i \(-0.217893\pi\)
−0.160238 + 0.987078i \(0.551226\pi\)
\(410\) 6.09590 0.640705i 0.301055 0.0316422i
\(411\) 2.78702 + 9.21194i 0.137474 + 0.454392i
\(412\) 1.12923 10.7439i 0.0556332 0.529314i
\(413\) −4.50867 4.05962i −0.221857 0.199761i
\(414\) 16.2589 + 2.38184i 0.799080 + 0.117061i
\(415\) 0.294662 1.38628i 0.0144644 0.0680497i
\(416\) 2.66016 0.565435i 0.130425 0.0277227i
\(417\) −2.08078 + 8.89442i −0.101896 + 0.435561i
\(418\) 25.2162 + 8.19323i 1.23336 + 0.400744i
\(419\) −0.514090 0.167038i −0.0251149 0.00816033i 0.296433 0.955054i \(-0.404203\pi\)
−0.321548 + 0.946893i \(0.604203\pi\)
\(420\) −0.862483 + 3.68673i −0.0420848 + 0.179894i
\(421\) −17.5901 + 3.73890i −0.857290 + 0.182223i −0.615530 0.788113i \(-0.711058\pi\)
−0.241760 + 0.970336i \(0.577725\pi\)
\(422\) −1.20377 + 5.66329i −0.0585985 + 0.275684i
\(423\) 32.3200 + 4.73471i 1.57145 + 0.230210i
\(424\) 2.11080 + 1.90057i 0.102509 + 0.0922998i
\(425\) 0.479351 4.56072i 0.0232519 0.221227i
\(426\) −5.99709 19.8222i −0.290560 0.960388i
\(427\) −33.3804 + 3.50842i −1.61539 + 0.169784i
\(428\) −17.5022 10.1049i −0.846002 0.488440i
\(429\) −17.2497 2.16909i −0.832825 0.104725i
\(430\) −1.21546 1.67294i −0.0586148 0.0806763i
\(431\) 15.0404 13.5425i 0.724472 0.652317i −0.222021 0.975042i \(-0.571265\pi\)
0.946493 + 0.322725i \(0.104599\pi\)
\(432\) −5.18645 0.317341i −0.249533 0.0152681i
\(433\) 33.0377i 1.58769i 0.608120 + 0.793845i \(0.291924\pi\)
−0.608120 + 0.793845i \(0.708076\pi\)
\(434\) 11.6035 + 3.67352i 0.556988 + 0.176334i
\(435\) 6.27415 8.27575i 0.300823 0.396792i
\(436\) 4.07983 + 12.5564i 0.195389 + 0.601344i
\(437\) 26.3293 + 29.2416i 1.25950 + 1.39882i
\(438\) −3.11500 0.0634618i −0.148841 0.00303232i
\(439\) 0.0919831 + 0.159319i 0.00439011 + 0.00760390i 0.868212 0.496193i \(-0.165269\pi\)
−0.863822 + 0.503797i \(0.831936\pi\)
\(440\) −1.84542 + 3.19636i −0.0879768 + 0.152380i
\(441\) −6.19336 + 2.46035i −0.294922 + 0.117160i
\(442\) 10.0898 + 7.33064i 0.479921 + 0.348683i
\(443\) 17.6901 + 1.85930i 0.840481 + 0.0883381i 0.514979 0.857203i \(-0.327800\pi\)
0.325502 + 0.945541i \(0.394467\pi\)
\(444\) −0.876221 4.57903i −0.0415836 0.217311i
\(445\) −1.33528 + 2.99910i −0.0632986 + 0.142171i
\(446\) −2.66771 0.567038i −0.126320 0.0268500i
\(447\) 10.5785 22.5139i 0.500345 1.06487i
\(448\) −1.99701 + 0.889128i −0.0943500 + 0.0420073i
\(449\) 3.59150 11.0535i 0.169493 0.521646i −0.829846 0.557992i \(-0.811572\pi\)
0.999339 + 0.0363460i \(0.0115718\pi\)
\(450\) 0.122187 2.99751i 0.00575995 0.141304i
\(451\) −9.20156 20.6670i −0.433285 0.973173i
\(452\) −2.28218 10.7368i −0.107344 0.505016i
\(453\) −31.0310 + 26.8164i −1.45797 + 1.25994i
\(454\) −21.3817 9.51976i −1.00349 0.446785i
\(455\) 3.97801 4.41803i 0.186492 0.207120i
\(456\) −9.07510 8.51229i −0.424981 0.398625i
\(457\) 10.4017 14.3168i 0.486573 0.669710i −0.493178 0.869928i \(-0.664165\pi\)
0.979751 + 0.200218i \(0.0641650\pi\)
\(458\) −0.703379 6.69220i −0.0328667 0.312706i
\(459\) −14.8333 18.6489i −0.692359 0.870457i
\(460\) −4.74363 + 2.73874i −0.221173 + 0.127694i
\(461\) 30.0510 21.8334i 1.39962 1.01688i 0.404885 0.914368i \(-0.367312\pi\)
0.994732 0.102513i \(-0.0326883\pi\)
\(462\) 13.9248 1.17735i 0.647841 0.0547751i
\(463\) 7.50915 2.43987i 0.348980 0.113390i −0.129282 0.991608i \(-0.541267\pi\)
0.478261 + 0.878217i \(0.341267\pi\)
\(464\) 5.99592 0.278353
\(465\) −9.57712 1.13084i −0.444128 0.0524415i
\(466\) 0.979174 0.0453594
\(467\) −33.9339 + 11.0258i −1.57027 + 0.510212i −0.959527 0.281616i \(-0.909130\pi\)
−0.610744 + 0.791828i \(0.709130\pi\)
\(468\) 6.89370 + 4.36378i 0.318661 + 0.201716i
\(469\) 10.5483 7.66381i 0.487076 0.353882i
\(470\) −9.42958 + 5.44417i −0.434954 + 0.251121i
\(471\) 16.5470 6.96688i 0.762444 0.321017i
\(472\) 0.290107 + 2.76018i 0.0133533 + 0.127048i
\(473\) −4.48607 + 6.17454i −0.206270 + 0.283906i
\(474\) 12.5573 13.3875i 0.576774 0.614908i
\(475\) 4.80683 5.33853i 0.220553 0.244948i
\(476\) −9.15799 4.07740i −0.419756 0.186887i
\(477\) 0.544802 + 8.50363i 0.0249448 + 0.389355i
\(478\) 2.63591 + 12.4010i 0.120564 + 0.567207i
\(479\) −8.71390 19.5717i −0.398148 0.894256i −0.995718 0.0924392i \(-0.970534\pi\)
0.597570 0.801817i \(-0.296133\pi\)
\(480\) 1.42170 0.989321i 0.0648916 0.0451561i
\(481\) −2.26208 + 6.96198i −0.103142 + 0.317439i
\(482\) 3.85092 1.71454i 0.175404 0.0780951i
\(483\) 18.7704 + 8.81954i 0.854084 + 0.401303i
\(484\) 2.56496 + 0.545198i 0.116589 + 0.0247817i
\(485\) 4.48230 10.0674i 0.203531 0.457138i
\(486\) −10.4639 11.5545i −0.474653 0.524123i
\(487\) 34.2088 + 3.59549i 1.55015 + 0.162927i 0.840572 0.541700i \(-0.182219\pi\)
0.709577 + 0.704628i \(0.248886\pi\)
\(488\) 12.4218 + 9.02495i 0.562308 + 0.408540i
\(489\) −7.98047 + 13.1944i −0.360889 + 0.596672i
\(490\) 1.11069 1.92378i 0.0501760 0.0869074i
\(491\) −1.67715 2.90492i −0.0756889 0.131097i 0.825697 0.564114i \(-0.190782\pi\)
−0.901386 + 0.433017i \(0.857449\pi\)
\(492\) −0.216246 + 10.6144i −0.00974912 + 0.478533i
\(493\) 18.3986 + 20.4337i 0.828633 + 0.920290i
\(494\) 6.03719 + 18.5805i 0.271626 + 0.835978i
\(495\) −10.6612 + 2.98985i −0.479185 + 0.134384i
\(496\) −2.82024 4.80065i −0.126632 0.215556i
\(497\) 26.1373i 1.17242i
\(498\) 2.31867 + 0.805953i 0.103902 + 0.0361156i
\(499\) −18.4916 + 16.6499i −0.827799 + 0.745354i −0.969640 0.244535i \(-0.921365\pi\)
0.141841 + 0.989889i \(0.454698\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 2.46966 19.6400i 0.110336 0.877452i
\(502\) −8.28593 4.78389i −0.369819 0.213515i
\(503\) −37.9553 + 3.98926i −1.69234 + 0.177872i −0.901095 0.433623i \(-0.857235\pi\)
−0.791248 + 0.611495i \(0.790568\pi\)
\(504\) −6.14933 2.27888i −0.273913 0.101510i
\(505\) 0.674067 6.41332i 0.0299956 0.285389i
\(506\) 15.0237 + 13.5274i 0.667887 + 0.601368i
\(507\) 4.68082 + 8.50282i 0.207883 + 0.377624i
\(508\) 3.06882 14.4376i 0.136157 0.640567i
\(509\) −8.18192 + 1.73912i −0.362657 + 0.0770852i −0.385637 0.922651i \(-0.626018\pi\)
0.0229793 + 0.999736i \(0.492685\pi\)
\(510\) 7.73409 + 1.80933i 0.342471 + 0.0801186i
\(511\) −3.73977 1.21513i −0.165438 0.0537540i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −1.62732 37.2921i −0.0718478 1.64649i
\(514\) 9.63460 2.04790i 0.424964 0.0903289i
\(515\) −2.24609 + 10.5670i −0.0989745 + 0.465638i
\(516\) 3.13763 1.72727i 0.138127 0.0760390i
\(517\) 29.8648 + 26.8904i 1.31345 + 1.18264i
\(518\) 0.615046 5.85178i 0.0270236 0.257112i
\(519\) 19.9095 6.02349i 0.873929 0.264402i
\(520\) −2.70470 + 0.284275i −0.118609 + 0.0124663i
\(521\) 19.5869 + 11.3085i 0.858119 + 0.495435i 0.863382 0.504551i \(-0.168342\pi\)
−0.00526273 + 0.999986i \(0.501675\pi\)
\(522\) 12.8662 + 12.5706i 0.563138 + 0.550201i
\(523\) −20.9331 28.8119i −0.915339 1.25986i −0.965310 0.261105i \(-0.915913\pi\)
0.0499715 0.998751i \(-0.484087\pi\)
\(524\) 14.8304 13.3534i 0.647870 0.583345i
\(525\) 1.24313 3.57638i 0.0542545 0.156086i
\(526\) 14.4379i 0.629521i
\(527\) 7.70637 24.3421i 0.335695 1.06036i
\(528\) −5.09420 3.86211i −0.221697 0.168077i
\(529\) 2.16395 + 6.65994i 0.0940846 + 0.289563i
\(530\) −1.90057 2.11080i −0.0825554 0.0916871i
\(531\) −5.16428 + 6.53109i −0.224111 + 0.283425i
\(532\) −7.85180 13.5997i −0.340419 0.589622i
\(533\) 8.33485 14.4364i 0.361022 0.625309i
\(534\) −4.86545 2.94281i −0.210549 0.127348i
\(535\) 16.3501 + 11.8790i 0.706877 + 0.513576i
\(536\) −5.93184 0.623461i −0.256216 0.0269294i
\(537\) 32.4035 6.20058i 1.39832 0.267575i
\(538\) 3.01872 6.78016i 0.130146 0.292313i
\(539\) −8.01961 1.70462i −0.345429 0.0734232i
\(540\) 5.12487 + 0.857735i 0.220539 + 0.0369110i
\(541\) −32.6644 + 14.5431i −1.40435 + 0.625257i −0.962364 0.271764i \(-0.912393\pi\)
−0.441987 + 0.897022i \(0.645726\pi\)
\(542\) 2.29687 7.06903i 0.0986589 0.303641i
\(543\) −11.6674 16.7666i −0.500694 0.719523i
\(544\) 1.86523 + 4.18937i 0.0799711 + 0.179618i
\(545\) −2.74498 12.9141i −0.117582 0.553180i
\(546\) 6.73282 + 7.79100i 0.288138 + 0.333424i
\(547\) −24.3829 10.8560i −1.04254 0.464167i −0.187244 0.982313i \(-0.559956\pi\)
−0.855292 + 0.518146i \(0.826622\pi\)
\(548\) 3.71809 4.12936i 0.158829 0.176397i
\(549\) 7.73390 + 45.4086i 0.330075 + 1.93799i
\(550\) 2.16942 2.98595i 0.0925043 0.127321i
\(551\) 4.50234 + 42.8369i 0.191806 + 1.82491i
\(552\) −3.68148 8.74384i −0.156694 0.372163i
\(553\) 20.0622 11.5829i 0.853130 0.492555i
\(554\) 16.4286 11.9361i 0.697986 0.507116i
\(555\) 0.392782 + 4.64554i 0.0166726 + 0.197192i
\(556\) 5.01572 1.62971i 0.212714 0.0691150i
\(557\) 4.47753 0.189719 0.0948595 0.995491i \(-0.469760\pi\)
0.0948595 + 0.995491i \(0.469760\pi\)
\(558\) 4.01296 16.2141i 0.169882 0.686396i
\(559\) −5.62376 −0.237860
\(560\) 2.07901 0.675512i 0.0878543 0.0285456i
\(561\) −2.46986 29.2117i −0.104278 1.23332i
\(562\) 21.2607 15.4468i 0.896827 0.651583i
\(563\) 1.56813 0.905361i 0.0660889 0.0381564i −0.466591 0.884473i \(-0.654518\pi\)
0.532680 + 0.846317i \(0.321185\pi\)
\(564\) −7.31819 17.3814i −0.308151 0.731887i
\(565\) 1.14737 + 10.9165i 0.0482703 + 0.459262i
\(566\) −0.128846 + 0.177341i −0.00541579 + 0.00745420i
\(567\) −8.41763 17.7823i −0.353507 0.746787i
\(568\) −8.00056 + 8.88552i −0.335696 + 0.372828i
\(569\) −38.3816 17.0886i −1.60904 0.716391i −0.611827 0.790992i \(-0.709565\pi\)
−0.997214 + 0.0746005i \(0.976232\pi\)
\(570\) 8.13561 + 9.41427i 0.340763 + 0.394320i
\(571\) 6.36279 + 29.9346i 0.266274 + 1.25272i 0.884432 + 0.466668i \(0.154546\pi\)
−0.618158 + 0.786054i \(0.712121\pi\)
\(572\) 4.08265 + 9.16978i 0.170704 + 0.383408i
\(573\) −10.4188 14.9724i −0.435253 0.625480i
\(574\) −4.14054 + 12.7433i −0.172823 + 0.531894i
\(575\) 5.00392 2.22789i 0.208678 0.0929093i
\(576\) 1.39294 + 2.65701i 0.0580391 + 0.110709i
\(577\) −26.5441 5.64213i −1.10505 0.234885i −0.380958 0.924592i \(-0.624406\pi\)
−0.724088 + 0.689707i \(0.757739\pi\)
\(578\) −1.63913 + 3.68154i −0.0681786 + 0.153132i
\(579\) −24.4257 + 4.67397i −1.01510 + 0.194244i
\(580\) −5.96307 0.626744i −0.247603 0.0260241i
\(581\) 2.50642 + 1.82102i 0.103984 + 0.0755487i
\(582\) 16.3324 + 9.87846i 0.677000 + 0.409475i
\(583\) −5.24164 + 9.07879i −0.217087 + 0.376005i
\(584\) 0.899410 + 1.55782i 0.0372179 + 0.0644632i
\(585\) −6.39979 5.06047i −0.264599 0.209225i
\(586\) −3.88817 4.31825i −0.160619 0.178385i
\(587\) −0.133143 0.409772i −0.00549541 0.0169131i 0.948271 0.317461i \(-0.102830\pi\)
−0.953767 + 0.300548i \(0.902830\pi\)
\(588\) 3.06603 + 2.32447i 0.126441 + 0.0958595i
\(589\) 32.1798 23.7536i 1.32595 0.978749i
\(590\) 2.77539i 0.114261i
\(591\) 7.96014 22.9007i 0.327436 0.942009i
\(592\) −2.00030 + 1.80108i −0.0822120 + 0.0740240i
\(593\) 12.1674 + 16.7470i 0.499657 + 0.687719i 0.982132 0.188191i \(-0.0602623\pi\)
−0.482476 + 0.875909i \(0.660262\pi\)
\(594\) −2.83426 18.9676i −0.116291 0.778248i
\(595\) 8.68162 + 5.01233i 0.355912 + 0.205486i
\(596\) −14.2831 + 1.50121i −0.585059 + 0.0614921i
\(597\) 18.5277 5.60544i 0.758287 0.229415i
\(598\) −1.55711 + 14.8149i −0.0636749 + 0.605826i
\(599\) 11.9576 + 10.7667i 0.488576 + 0.439916i 0.876233 0.481888i \(-0.160049\pi\)
−0.387657 + 0.921804i \(0.626715\pi\)
\(600\) −1.51733 + 0.835293i −0.0619447 + 0.0341007i
\(601\) −5.02182 + 23.6258i −0.204845 + 0.963718i 0.748803 + 0.662792i \(0.230629\pi\)
−0.953648 + 0.300925i \(0.902705\pi\)
\(602\) 4.42158 0.939837i 0.180210 0.0383049i
\(603\) −11.4216 13.7741i −0.465123 0.560925i
\(604\) 22.5198 + 7.31712i 0.916317 + 0.297729i
\(605\) −2.49392 0.810322i −0.101392 0.0329443i
\(606\) 10.8757 + 2.54430i 0.441797 + 0.103355i
\(607\) 7.76425 1.65034i 0.315141 0.0669853i −0.0476258 0.998865i \(-0.515165\pi\)
0.362767 + 0.931880i \(0.381832\pi\)
\(608\) −1.49358 + 7.02672i −0.0605725 + 0.284971i
\(609\) 10.9483 + 19.8878i 0.443646 + 0.805893i
\(610\) −11.4104 10.2739i −0.461992 0.415980i
\(611\) −3.09528 + 29.4496i −0.125222 + 1.19140i
\(612\) −4.78069 + 12.9002i −0.193248 + 0.521459i
\(613\) −31.7438 + 3.33641i −1.28212 + 0.134756i −0.720976 0.692960i \(-0.756306\pi\)
−0.561146 + 0.827717i \(0.689639\pi\)
\(614\) −22.1182 12.7699i −0.892616 0.515352i
\(615\) 1.32457 10.5336i 0.0534116 0.424757i
\(616\) −4.74236 6.52729i −0.191075 0.262992i
\(617\) −19.2548 + 17.3371i −0.775168 + 0.697964i −0.958502 0.285086i \(-0.907978\pi\)
0.183334 + 0.983051i \(0.441311\pi\)
\(618\) −17.6742 6.14345i −0.710962 0.247126i
\(619\) 39.8751i 1.60271i 0.598187 + 0.801357i \(0.295888\pi\)
−0.598187 + 0.801357i \(0.704112\pi\)
\(620\) 2.30299 + 5.06915i 0.0924901 + 0.203582i
\(621\) 10.4319 26.4811i 0.418618 1.06265i
\(622\) 3.15435 + 9.70809i 0.126478 + 0.389259i
\(623\) −4.80200 5.33316i −0.192388 0.213669i
\(624\) 0.0959463 4.70950i 0.00384093 0.188531i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −11.4373 + 19.8100i −0.457127 + 0.791767i
\(627\) 23.7670 39.2948i 0.949162 1.56928i
\(628\) −8.38598 6.09277i −0.334637 0.243128i
\(629\) −12.2760 1.29026i −0.489475 0.0514459i
\(630\) 5.87743 + 2.90918i 0.234162 + 0.115904i
\(631\) 8.46078 19.0032i 0.336818 0.756506i −0.663150 0.748487i \(-0.730781\pi\)
0.999968 0.00801934i \(-0.00255266\pi\)
\(632\) −10.3657 2.20331i −0.412327 0.0876429i
\(633\) 9.07627 + 4.26461i 0.360749 + 0.169503i
\(634\) 12.5313 5.57929i 0.497681 0.221582i
\(635\) −4.56115 + 14.0378i −0.181004 + 0.557072i
\(636\) 4.03815 2.81002i 0.160123 0.111425i
\(637\) −2.45721 5.51897i −0.0973580 0.218670i
\(638\) 4.60107 + 21.6463i 0.182158 + 0.856987i
\(639\) −35.7966 + 2.29338i −1.41609 + 0.0907245i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −6.80511 + 7.55784i −0.268786 + 0.298517i −0.862394 0.506237i \(-0.831036\pi\)
0.593609 + 0.804754i \(0.297703\pi\)
\(642\) −23.9476 + 25.5309i −0.945135 + 1.00762i
\(643\) 13.9285 19.1709i 0.549286 0.756028i −0.440629 0.897689i \(-0.645244\pi\)
0.989915 + 0.141662i \(0.0452445\pi\)
\(644\) −1.25160 11.9082i −0.0493199 0.469248i
\(645\) −3.30099 + 1.38984i −0.129977 + 0.0547249i
\(646\) −28.5297 + 16.4717i −1.12249 + 0.648069i
\(647\) 26.4307 19.2031i 1.03910 0.754950i 0.0689898 0.997617i \(-0.478022\pi\)
0.970110 + 0.242668i \(0.0780224\pi\)
\(648\) −2.58150 + 8.62182i −0.101411 + 0.338697i
\(649\) −9.74214 + 3.16541i −0.382413 + 0.124253i
\(650\) 2.71959 0.106671
\(651\) 10.7736 18.1202i 0.422250 0.710186i
\(652\) 8.90281 0.348661
\(653\) −32.4979 + 10.5592i −1.27174 + 0.413214i −0.865664 0.500625i \(-0.833103\pi\)
−0.406077 + 0.913839i \(0.633103\pi\)
\(654\) 22.7863 1.92659i 0.891015 0.0753356i
\(655\) −16.1450 + 11.7300i −0.630837 + 0.458330i
\(656\) 5.30829 3.06474i 0.207254 0.119658i
\(657\) −1.33605 + 5.22846i −0.0521241 + 0.203982i
\(658\) −2.48798 23.6716i −0.0969916 0.922813i
\(659\) −10.3301 + 14.2182i −0.402403 + 0.553861i −0.961345 0.275346i \(-0.911208\pi\)
0.558942 + 0.829207i \(0.311208\pi\)
\(660\) 4.66260 + 4.37344i 0.181491 + 0.170236i
\(661\) 11.7988 13.1039i 0.458920 0.509682i −0.468623 0.883398i \(-0.655250\pi\)
0.927543 + 0.373716i \(0.121917\pi\)
\(662\) 14.2775 + 6.35674i 0.554910 + 0.247062i
\(663\) 16.3441 14.1242i 0.634753 0.548540i
\(664\) −0.294662 1.38628i −0.0114351 0.0537980i
\(665\) 6.38723 + 14.3459i 0.247686 + 0.556312i
\(666\) −8.06832 0.328887i −0.312641 0.0127441i
\(667\) −10.1489 + 31.2350i −0.392966 + 1.20943i
\(668\) −10.4404 + 4.64838i −0.403952 + 0.179851i
\(669\) −2.00886 + 4.27540i −0.0776668 + 0.165297i
\(670\) 5.83417 + 1.24009i 0.225394 + 0.0479089i
\(671\) −23.0496 + 51.7703i −0.889821 + 1.99857i
\(672\) 0.711610 + 3.71880i 0.0274510 + 0.143456i
\(673\) 9.73347 + 1.02303i 0.375198 + 0.0394349i 0.290251 0.956951i \(-0.406261\pi\)
0.0849470 + 0.996385i \(0.472928\pi\)
\(674\) −21.2331 15.4268i −0.817870 0.594218i
\(675\) −5.00714 1.38873i −0.192725 0.0534523i
\(676\) 2.80191 4.85304i 0.107766 0.186655i
\(677\) −0.202661 0.351020i −0.00778891 0.0134908i 0.862105 0.506730i \(-0.169146\pi\)
−0.869894 + 0.493239i \(0.835813\pi\)
\(678\) −19.0082 0.387253i −0.730005 0.0148723i
\(679\) 16.1194 + 17.9024i 0.618607 + 0.687033i
\(680\) −1.41710 4.36139i −0.0543434 0.167252i
\(681\) −24.4913 + 32.3046i −0.938510 + 1.23792i
\(682\) 15.1671 13.8654i 0.580777 0.530935i
\(683\) 21.3556i 0.817150i 0.912725 + 0.408575i \(0.133974\pi\)
−0.912725 + 0.408575i \(0.866026\pi\)
\(684\) −17.9367 + 11.9468i −0.685826 + 0.456797i
\(685\) −4.12936 + 3.71809i −0.157775 + 0.142061i
\(686\) 11.8486 + 16.3082i 0.452380 + 0.622648i
\(687\) −11.5640 1.45413i −0.441195 0.0554787i
\(688\) −1.79082 1.03393i −0.0682746 0.0394183i
\(689\) −7.68230 + 0.807442i −0.292672 + 0.0307611i
\(690\) 2.74733 + 9.08076i 0.104589 + 0.345699i
\(691\) 0.259829 2.47210i 0.00988435 0.0940433i −0.988467 0.151433i \(-0.951611\pi\)
0.998352 + 0.0573899i \(0.0182778\pi\)
\(692\) −8.92465 8.03579i −0.339264 0.305475i
\(693\) 3.50839 23.9489i 0.133273 0.909744i
\(694\) 0.596530 2.80645i 0.0226440 0.106531i
\(695\) −5.15860 + 1.09649i −0.195677 + 0.0415924i
\(696\) 2.36567 10.1122i 0.0896707 0.383302i
\(697\) 26.7331 + 8.68611i 1.01259 + 0.329010i
\(698\) 25.8926 + 8.41300i 0.980048 + 0.318437i
\(699\) 0.386331 1.65139i 0.0146124 0.0624614i
\(700\) −2.13823 + 0.454496i −0.0808177 + 0.0171783i
\(701\) −3.89924 + 18.3445i −0.147272 + 0.692861i 0.841109 + 0.540866i \(0.181903\pi\)
−0.988381 + 0.151995i \(0.951430\pi\)
\(702\) 10.0795 9.90460i 0.380425 0.373825i
\(703\) −14.3696 12.9384i −0.541959 0.487982i
\(704\) −0.385797 + 3.67062i −0.0145403 + 0.138342i
\(705\) 5.46125 + 18.0511i 0.205683 + 0.679844i
\(706\) 2.60626 0.273928i 0.0980877 0.0103094i
\(707\) 12.2082 + 7.04839i 0.459135 + 0.265082i
\(708\) 4.76955 + 0.599754i 0.179251 + 0.0225401i
\(709\) 1.27468 + 1.75444i 0.0478715 + 0.0658894i 0.832282 0.554353i \(-0.187034\pi\)
−0.784410 + 0.620242i \(0.787034\pi\)
\(710\) 8.88552 8.00056i 0.333468 0.300256i
\(711\) −17.6238 26.4600i −0.660944 0.992327i
\(712\) 3.28292i 0.123033i
\(713\) 29.7821 6.56598i 1.11535 0.245898i
\(714\) −10.4899 + 13.8364i −0.392573 + 0.517813i
\(715\) −3.10178 9.54630i −0.116000 0.357011i
\(716\) −12.7454 14.1551i −0.476316 0.529003i
\(717\) 21.9544 + 0.447276i 0.819903 + 0.0167038i
\(718\) −17.1821 29.7602i −0.641230 1.11064i
\(719\) 16.5506 28.6664i 0.617232 1.06908i −0.372757 0.927929i \(-0.621587\pi\)
0.989989 0.141148i \(-0.0450792\pi\)
\(720\) −1.10757 2.78806i −0.0412769 0.103905i
\(721\) −19.1054 13.8809i −0.711523 0.516952i
\(722\) −32.4269 3.40821i −1.20680 0.126840i
\(723\) −1.37222 7.17109i −0.0510336 0.266696i
\(724\) −4.79676 + 10.7737i −0.178270 + 0.400402i
\(725\) 5.86489 + 1.24662i 0.217817 + 0.0462983i
\(726\) 1.93148 4.11073i 0.0716840 0.152563i
\(727\) 7.87455 3.50598i 0.292051 0.130029i −0.255481 0.966814i \(-0.582234\pi\)
0.547532 + 0.836785i \(0.315567\pi\)
\(728\) 1.83712 5.65407i 0.0680882 0.209554i
\(729\) −23.6154 + 13.0887i −0.874643 + 0.484768i
\(730\) −0.731646 1.64330i −0.0270794 0.0608214i
\(731\) −1.97161 9.27568i −0.0729225 0.343074i
\(732\) 20.1217 17.3887i 0.743719 0.642706i
\(733\) 2.05609 + 0.915431i 0.0759435 + 0.0338122i 0.444357 0.895850i \(-0.353432\pi\)
−0.368413 + 0.929662i \(0.620099\pi\)
\(734\) −8.14245 + 9.04311i −0.300543 + 0.333787i
\(735\) −2.80626 2.63222i −0.103510 0.0970910i
\(736\) −3.21958 + 4.43137i −0.118675 + 0.163342i
\(737\) −2.30109 21.8934i −0.0847618 0.806455i
\(738\) 17.8160 + 4.55258i 0.655815 + 0.167583i
\(739\) −34.8580 + 20.1253i −1.28227 + 0.740320i −0.977263 0.212030i \(-0.931993\pi\)
−0.305008 + 0.952350i \(0.598659\pi\)
\(740\) 2.17761 1.58213i 0.0800505 0.0581601i
\(741\) 33.7183 2.85089i 1.23867 0.104730i
\(742\) 5.90514 1.91870i 0.216784 0.0704375i
\(743\) −9.56261 −0.350818 −0.175409 0.984496i \(-0.556125\pi\)
−0.175409 + 0.984496i \(0.556125\pi\)
\(744\) −9.20909 + 2.86229i −0.337622 + 0.104937i
\(745\) 14.3618 0.526175
\(746\) 20.1464 6.54595i 0.737611 0.239664i
\(747\) 2.27408 3.59248i 0.0832041 0.131442i
\(748\) −13.6931 + 9.94861i −0.500669 + 0.363757i
\(749\) −38.2599 + 22.0894i −1.39799 + 0.807129i
\(750\) 1.59633 0.672113i 0.0582897 0.0245421i
\(751\) 3.86289 + 36.7530i 0.140959 + 1.34114i 0.804927 + 0.593374i \(0.202205\pi\)
−0.663968 + 0.747761i \(0.731129\pi\)
\(752\) −6.40000 + 8.80885i −0.233384 + 0.321226i
\(753\) −11.3373 + 12.0869i −0.413154 + 0.440470i
\(754\) −10.9111 + 12.1181i −0.397361 + 0.441314i
\(755\) −21.6316 9.63100i −0.787254 0.350508i
\(756\) −6.26957 + 9.47180i −0.228022 + 0.344486i
\(757\) 9.57884 + 45.0649i 0.348149 + 1.63791i 0.708943 + 0.705266i \(0.249173\pi\)
−0.360794 + 0.932646i \(0.617494\pi\)
\(758\) 1.41427 + 3.17651i 0.0513687 + 0.115376i
\(759\) 28.7418 20.0005i 1.04326 0.725974i
\(760\) 2.21989 6.83210i 0.0805237 0.247826i
\(761\) 27.2571 12.1356i 0.988069 0.439917i 0.151904 0.988395i \(-0.451459\pi\)
0.836165 + 0.548479i \(0.184793\pi\)
\(762\) −23.1385 10.8719i −0.838220 0.393849i
\(763\) 28.2303 + 6.00054i 1.02201 + 0.217234i
\(764\) −4.28346 + 9.62081i −0.154970 + 0.348069i
\(765\) 6.10293 12.3298i 0.220652 0.445784i
\(766\) −3.63209 0.381749i −0.131233 0.0137931i
\(767\) −6.10640 4.43656i −0.220489 0.160195i
\(768\) 0.896399 1.48205i 0.0323460 0.0534788i
\(769\) −1.03301 + 1.78922i −0.0372512 + 0.0645210i −0.884050 0.467392i \(-0.845194\pi\)
0.846799 + 0.531913i \(0.178527\pi\)
\(770\) 4.03409 + 6.98725i 0.145378 + 0.251803i
\(771\) 0.347499 17.0569i 0.0125149 0.614289i
\(772\) 9.60740 + 10.6701i 0.345778 + 0.384025i
\(773\) 9.43346 + 29.0332i 0.339298 + 1.04425i 0.964566 + 0.263842i \(0.0849896\pi\)